%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW238+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 1.12s 1.37s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWW238+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 21:41:38 EDT 2026 % 0.19/0.35 % CPUTime : % 0.47/0.76 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.37 % SZS status Theorem % 1.12/1.37 % SZS output start Proof % 1.12/1.37 ( % 1.12/1.37 (declare-sort $$unsorted 0) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.37 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.37 (declare-const tptp.v_da____ $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_c____ $$unsorted) % 1.12/1.37 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.v_cs____ $$unsorted) % 1.12/1.37 (declare-const tptp.v_aa____ $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.37 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_p $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.37 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.v_z____ $$unsorted) % 1.12/1.37 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.12/1.37 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.37 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.12/1.37 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.12/1.37 (define @t3 () (@var "B_x" $$unsorted)) % 1.12/1.37 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.12/1.37 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.12/1.37 (define @t6 () (@list @t3)) % 1.12/1.37 (define @t7 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_aa____)) % 1.12/1.37 (define @t8 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (define @t9 () (tptp.hAPP (tptp.hAPP @t8 tptp.v_z____) tptp.v_c____)) % 1.12/1.37 (define @t10 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t9 tptp.v_aa____)) % 1.12/1.37 (define @t11 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10)) % 1.12/1.37 (define @t12 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t11 @t7)) % 1.12/1.37 (define @t13 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t9)) % 1.12/1.37 (define @t14 () (@var "V_z" $$unsorted)) % 1.12/1.37 (define @t15 () (@var "V_w" $$unsorted)) % 1.12/1.37 (define @t16 () (@list @t14 @t15)) % 1.12/1.37 (define @t17 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) % 1.12/1.37 (define @t18 () (@var "V_y" $$unsorted)) % 1.12/1.37 (define @t19 () (@var "T_a" $$unsorted)) % 1.12/1.37 (define @t20 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t18)) % 1.12/1.37 (define @t21 () (@var "V_x" $$unsorted)) % 1.12/1.37 (define @t22 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t21)) % 1.12/1.37 (define @t23 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t21 @t18)) % 1.12/1.37 (define @t24 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t23)) % 1.12/1.37 (define @t25 () (tptp.class_RealVector_Oreal__normed__vector @t19)) % 1.12/1.37 (define @t26 () (@list @t18 @t21 @t19)) % 1.12/1.37 (define @t27 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal tptp.v_da____)) % 1.12/1.37 (define @t28 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t27 @t7)) % 1.12/1.37 (define @t29 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.12/1.37 (define @t30 () (tptp.hAPP (tptp.hAPP @t29 @t22) @t20)) % 1.12/1.37 (define @t31 () (tptp.c_Groups_Otimes__class_Otimes @t19)) % 1.12/1.37 (define @t32 () (tptp.hAPP @t31 @t21)) % 1.12/1.37 (define @t33 () (tptp.hAPP @t32 @t18)) % 1.12/1.37 (define @t34 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t33)) % 1.12/1.37 (define @t35 () (tptp.class_RealVector_Oreal__normed__algebra @t19)) % 1.12/1.37 (define @t36 () (tptp.class_Orderings_Opreorder @t19)) % 1.12/1.37 (define @t37 () (@list @t21 @t19)) % 1.12/1.37 (define @t38 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (define @t39 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t18)) % 1.12/1.37 (define @t40 () (@list @t14 @t18 @t21)) % 1.12/1.37 (define @t41 () (tptp.class_RealVector_Oreal__normed__div__algebra @t19)) % 1.12/1.37 (define @t42 () (@var "V_b_H" $$unsorted)) % 1.12/1.37 (define @t43 () (@var "V_a" $$unsorted)) % 1.12/1.37 (define @t44 () (tptp.hAPP @t31 @t43)) % 1.12/1.37 (define @t45 () (tptp.hAPP @t44 @t42)) % 1.12/1.37 (define @t46 () (@var "V_b" $$unsorted)) % 1.12/1.37 (define @t47 () (tptp.hAPP @t44 @t46)) % 1.12/1.37 (define @t48 () (@list @t42 @t46 @t43 @t19)) % 1.12/1.37 (define @t49 () (tptp.hAPP @t32 @t14)) % 1.12/1.37 (define @t50 () (tptp.class_Rings_Ocomm__semiring__1 @t19)) % 1.12/1.37 (define @t51 () (@list @t14 @t18 @t21 @t19)) % 1.12/1.37 (define @t52 () (@var "V_xa" $$unsorted)) % 1.12/1.37 (define @t53 () (tptp.hAPP @t31 @t52)) % 1.12/1.37 (define @t54 () (tptp.hAPP @t53 @t18)) % 1.12/1.37 (define @t55 () (tptp.hAPP @t53 @t21)) % 1.12/1.37 (define @t56 () (@list @t18 @t21 @t52 @t19)) % 1.12/1.37 (define @t57 () (@var "V_ca_2" $$unsorted)) % 1.12/1.37 (define @t58 () (@var "V_b_2" $$unsorted)) % 1.12/1.37 (define @t59 () (tptp.hAPP @t31 @t58)) % 1.12/1.37 (define @t60 () (tptp.hAPP @t59 @t57)) % 1.12/1.37 (define @t61 () (@var "V_db_2" $$unsorted)) % 1.12/1.37 (define @t62 () (@var "V_ab_2" $$unsorted)) % 1.12/1.37 (define @t63 () (tptp.hAPP @t31 @t62)) % 1.12/1.37 (define @t64 () (tptp.hAPP @t63 @t61)) % 1.12/1.37 (define @t65 () (tptp.hAPP @t63 @t57)) % 1.12/1.37 (define @t66 () (= @t57 @t61)) % 1.12/1.37 (define @t67 () (= @t62 @t58)) % 1.12/1.37 (define @t68 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t19)) % 1.12/1.37 (define @t69 () (@list @t61 @t57 @t58 @t62 @t19)) % 1.12/1.37 (define @t70 () (= tptp.v_cs____ @t17)) % 1.12/1.37 (define @t71 () (@var "V_mazh" $$unsorted)) % 1.12/1.37 (define @t72 () (@var "V_mzh" $$unsorted)) % 1.12/1.37 (define @t73 () (@var "V_ma" $$unsorted)) % 1.12/1.37 (define @t74 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_c____)) % 1.12/1.37 (define @t75 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.37 (define @t76 () (tptp.c_Groups_Ozero__class_Ozero @t19)) % 1.12/1.37 (define @t77 () (@list @t19)) % 1.12/1.37 (define @t78 () (@var "V_r" $$unsorted)) % 1.12/1.37 (define @t79 () (tptp.hAPP @t29 @t14)) % 1.12/1.37 (define @t80 () (@list @t15 @t14)) % 1.12/1.37 (define @t81 () (@var "V_x_2" $$unsorted)) % 1.12/1.37 (define @t82 () (= @t81 @t76)) % 1.12/1.37 (define @t83 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t81)) % 1.12/1.37 (define @t84 () (@list @t81 @t19)) % 1.12/1.37 (define @t85 () (@var "V_z3" $$unsorted)) % 1.12/1.37 (define @t86 () (@var "V_z2" $$unsorted)) % 1.12/1.37 (define @t87 () (tptp.hAPP @t29 @t86)) % 1.12/1.37 (define @t88 () (@var "V_z1" $$unsorted)) % 1.12/1.37 (define @t89 () (tptp.hAPP @t29 @t88)) % 1.12/1.37 (define @t90 () (@list @t85 @t86 @t88)) % 1.12/1.37 (define @t91 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t43)) % 1.12/1.37 (define @t92 () (@list @t43 @t19)) % 1.12/1.37 (define @t93 () (= (tptp.hAPP @t44 @t76) @t76)) % 1.12/1.37 (define @t94 () (tptp.hAPP @t31 @t76)) % 1.12/1.37 (define @t95 () (@list @t18 @t19)) % 1.12/1.37 (define @t96 () (= (tptp.hAPP @t94 @t43) @t76)) % 1.12/1.37 (define @t97 () (= @t62 @t76)) % 1.12/1.37 (define @t98 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t58 @t62)) % 1.12/1.37 (define @t99 () (@list @t62 @t58 @t19)) % 1.12/1.37 (define @t100 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t76) @t43)) % 1.12/1.37 (define @t101 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t76 @t43) @t43)) % 1.12/1.37 (define @t102 () (@list @t15 @t86 @t88)) % 1.12/1.37 (define @t103 () (@var "V_d" $$unsorted)) % 1.12/1.37 (define @t104 () (tptp.hAPP @t31 @t78)) % 1.12/1.37 (define @t105 () (@var "V_c" $$unsorted)) % 1.12/1.37 (define @t106 () (= @t43 @t46)) % 1.12/1.37 (define @t107 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t18 @t21)) % 1.12/1.37 (define @t108 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t18)) % 1.12/1.37 (define @t109 () (tptp.class_Orderings_Olinorder @t19)) % 1.12/1.37 (define @t110 () (@var "T_b" $$unsorted)) % 1.12/1.37 (define @t111 () (tptp.tc_fun @t19 @t110)) % 1.12/1.37 (define @t112 () (tptp.c_Orderings_Oord__class_Oless__eq @t111 @t2 @t1)) % 1.12/1.37 (define @t113 () (tptp.class_Orderings_Oord @t110)) % 1.12/1.37 (define @t114 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t14 @t18)) % 1.12/1.37 (define @t115 () (tptp.class_Orderings_Oorder @t19)) % 1.12/1.37 (define @t116 () (@list @t14 @t21 @t18 @t19)) % 1.12/1.37 (define @t117 () (= @t21 @t18)) % 1.12/1.37 (define @t118 () (@list @t21 @t18 @t19)) % 1.12/1.37 (define @t119 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t18 @t14)) % 1.12/1.37 (define @t120 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t105 @t43)) % 1.12/1.37 (define @t121 () (= @t46 @t105)) % 1.12/1.37 (define @t122 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t46 @t43)) % 1.12/1.37 (define @t123 () (@list @t105 @t43 @t46 @t19)) % 1.12/1.37 (define @t124 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t43 @t105)) % 1.12/1.37 (define @t125 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t43 @t46)) % 1.12/1.37 (define @t126 () (tptp.class_Orderings_Oord @t19)) % 1.12/1.37 (define @t127 () (@list @t105 @t46 @t43 @t19)) % 1.12/1.37 (define @t128 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t46 @t105)) % 1.12/1.37 (define @t129 () (@var "V_y_2" $$unsorted)) % 1.12/1.37 (define @t130 () (= @t81 @t129)) % 1.12/1.37 (define @t131 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t81 @t129)) % 1.12/1.37 (define @t132 () (= @t131 @t130)) % 1.12/1.37 (define @t133 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t129 @t81)) % 1.12/1.37 (define @t134 () (@list @t81 @t129 @t19)) % 1.12/1.37 (define @t135 () (@list @t129 @t81 @t19)) % 1.12/1.37 (define @t136 () (@list @t1 @t2 @t19 @t110)) % 1.12/1.37 (define @t137 () (@var "V_ry" $$unsorted)) % 1.12/1.37 (define @t138 () (@var "V_ly" $$unsorted)) % 1.12/1.37 (define @t139 () (tptp.hAPP @t31 @t138)) % 1.12/1.37 (define @t140 () (@var "V_rx" $$unsorted)) % 1.12/1.37 (define @t141 () (@var "V_lx" $$unsorted)) % 1.12/1.37 (define @t142 () (tptp.hAPP @t31 @t141)) % 1.12/1.37 (define @t143 () (tptp.hAPP @t31 (tptp.hAPP @t142 @t140))) % 1.12/1.37 (define @t144 () (tptp.hAPP @t31 @t140)) % 1.12/1.37 (define @t145 () (tptp.hAPP @t144 @t137)) % 1.12/1.37 (define @t146 () (tptp.hAPP @t31 (tptp.hAPP @t142 @t138))) % 1.12/1.37 (define @t147 () (tptp.hAPP @t146 @t145)) % 1.12/1.37 (define @t148 () (@list @t137 @t140 @t138 @t141 @t19)) % 1.12/1.37 (define @t149 () (tptp.hAPP @t146 @t140)) % 1.12/1.37 (define @t150 () (@list @t140 @t138 @t141 @t19)) % 1.12/1.37 (define @t151 () (tptp.hAPP @t142 @t145)) % 1.12/1.37 (define @t152 () (@list @t137 @t140 @t141 @t19)) % 1.12/1.37 (define @t153 () (tptp.hAPP @t31 @t46)) % 1.12/1.37 (define @t154 () (tptp.hAPP @t153 @t43)) % 1.12/1.37 (define @t155 () (@list @t46 @t43 @t19)) % 1.12/1.37 (define @t156 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t46 @t103)) % 1.12/1.37 (define @t157 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t105)) % 1.12/1.37 (define @t158 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t105 @t103)) % 1.12/1.37 (define @t159 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t46)) % 1.12/1.37 (define @t160 () (@list @t103 @t105 @t46 @t43 @t19)) % 1.12/1.37 (define @t161 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t159 @t105)) % 1.12/1.37 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t46 @t105)) % 1.12/1.37 (define @t163 () (= @t161 (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t162))) % 1.12/1.37 (define @t164 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t158)) % 1.12/1.37 (define @t165 () (@list @t103 @t105 @t43 @t19)) % 1.12/1.37 (define @t166 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t105 @t43)) % 1.12/1.37 (define @t167 () (= @t157 @t166)) % 1.12/1.37 (define @t168 () (@list @t105 @t43 @t19)) % 1.12/1.37 (define @t169 () (forall @t168 (=> @t50 @t167))) % 1.12/1.37 (define @t170 () (= @t14 @t15)) % 1.12/1.37 (define @t171 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t14)) % 1.12/1.37 (define @t172 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t14 @t15)) % 1.12/1.37 (define @t173 () (@var "V_k" $$unsorted)) % 1.12/1.37 (define @t174 () (@var "V_i" $$unsorted)) % 1.12/1.37 (define @t175 () (@var "V_j" $$unsorted)) % 1.12/1.37 (define @t176 () (@list @t173 @t175 @t174)) % 1.12/1.37 (define @t177 () (@list @t15)) % 1.12/1.37 (define @t178 () (@var "V_za_2" $$unsorted)) % 1.12/1.37 (define @t179 () (@var "V_w_2" $$unsorted)) % 1.12/1.37 (define @t180 () (tptp.hAPP @t31 @t81)) % 1.12/1.37 (define @t181 () (tptp.hAPP @t31 @t179)) % 1.12/1.37 (define @t182 () (tptp.hAPP @t180 @t178)) % 1.12/1.37 (define @t183 () (tptp.hAPP @t181 @t129)) % 1.12/1.37 (define @t184 () (@var "V_m" $$unsorted)) % 1.12/1.37 (define @t185 () (tptp.hAPP @t31 @t159)) % 1.12/1.37 (define @t186 () (tptp.hAPP @t44 @t184)) % 1.12/1.37 (define @t187 () (@var "V_ya" $$unsorted)) % 1.12/1.37 (define @t188 () (tptp.hAPP @t31 @t18)) % 1.12/1.37 (define @t189 () (tptp.hAPP @t188 @t187)) % 1.12/1.37 (define @t190 () (tptp.hAPP @t32 @t187)) % 1.12/1.37 (define @t191 () (@list @t187 @t18 @t21 @t19)) % 1.12/1.37 (define @t192 () (@var "V_a_H" $$unsorted)) % 1.12/1.37 (define @t193 () (tptp.hAPP @t31 @t192)) % 1.12/1.37 (define @t194 () (tptp.hAPP @t193 @t46)) % 1.12/1.37 (define @t195 () (@list @t46 @t192 @t43 @t19)) % 1.12/1.37 (define @t196 () (tptp.hAPP @t153 @t105)) % 1.12/1.37 (define @t197 () (tptp.hAPP @t44 @t105)) % 1.12/1.37 (define @t198 () (= (tptp.hAPP @t185 @t105) (tptp.c_Groups_Oplus__class_Oplus @t19 @t197 @t196))) % 1.12/1.37 (define @t199 () (tptp.hAPP @t29 @t105)) % 1.12/1.37 (define @t200 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t105 @t75)) % 1.12/1.37 (define @t201 () (tptp.c_Groups_Oabs__class_Oabs @t19 @t46)) % 1.12/1.37 (define @t202 () (tptp.c_Groups_Oabs__class_Oabs @t19 @t43)) % 1.12/1.37 (define @t203 () (tptp.hAPP @t31 @t202)) % 1.12/1.37 (define @t204 () (tptp.hAPP @t203 @t201)) % 1.12/1.37 (define @t205 () (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t47) @t204)) % 1.12/1.37 (define @t206 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t46 @t76)) % 1.12/1.37 (define @t207 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t46)) % 1.12/1.37 (define @t208 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t43 @t76)) % 1.12/1.37 (define @t209 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t43)) % 1.12/1.37 (define @t210 () (tptp.hAPP @t188 @t21)) % 1.12/1.37 (define @t211 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t21)) % 1.12/1.37 (define @t212 () (tptp.class_Rings_Olinordered__idom @t19)) % 1.12/1.37 (define @t213 () (= @t129 @t76)) % 1.12/1.37 (define @t214 () (and @t82 @t213)) % 1.12/1.37 (define @t215 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t180 @t81) (tptp.hAPP (tptp.hAPP @t31 @t129) @t129))) % 1.12/1.37 (define @t216 () (tptp.class_Rings_Olinordered__ring__strict @t19)) % 1.12/1.37 (define @t217 () (tptp.hAPP @t32 @t21)) % 1.12/1.37 (define @t218 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t217 (tptp.hAPP @t188 @t18))) % 1.12/1.37 (define @t219 () (tptp.class_Rings_Olinordered__ring @t19)) % 1.12/1.37 (define @t220 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t202 @t201)) % 1.12/1.37 (define @t221 () (tptp.class_Groups_Oordered__ab__group__add__abs @t19)) % 1.12/1.37 (define @t222 () (tptp.c_Groups_Oabs__class_Oabs @t19 @t62)) % 1.12/1.37 (define @t223 () (@list @t62 @t19)) % 1.12/1.37 (define @t224 () (= @t202 @t43)) % 1.12/1.37 (define @t225 () (tptp.class_Groups_Oordered__comm__monoid__add @t19)) % 1.12/1.37 (define @t226 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____)) % 1.12/1.37 (define @t227 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t46)) % 1.12/1.37 (define @t228 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t43 @t46)) % 1.12/1.37 (define @t229 () (= (tptp.c_RealVector_Onorm__class_Onorm @t19 @t228) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t91 @t227))) % 1.12/1.37 (define @t230 () (tptp.class_RealVector_Oreal__normed__field @t19)) % 1.12/1.37 (define @t231 () (tptp.class_Fields_Ofield__inverse__zero @t19)) % 1.12/1.37 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t81)) % 1.12/1.37 (define @t233 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t129)) % 1.12/1.37 (define @t234 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81 @t75)) % 1.12/1.37 (define @t235 () (@list @t129 @t81)) % 1.12/1.37 (define @t236 () (tptp.class_Rings_Odivision__ring__inverse__zero @t19)) % 1.12/1.37 (define @t237 () (tptp.class_Rings_Odivision__ring @t19)) % 1.12/1.37 (define @t238 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t46 @t105)) % 1.12/1.37 (define @t239 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t43 @t105)) % 1.12/1.37 (define @t240 () (= @t46 @t76)) % 1.12/1.37 (define @t241 () (not @t240)) % 1.12/1.37 (define @t242 () (@list @t43 @t46 @t19)) % 1.12/1.37 (define @t243 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t18 @t187)) % 1.12/1.37 (define @t244 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t21 @t187)) % 1.12/1.37 (define @t245 () (= @t105 @t76)) % 1.12/1.37 (define @t246 () (not @t245)) % 1.12/1.37 (define @t247 () (@list @t46 @t43 @t105 @t19)) % 1.12/1.37 (define @t248 () (@list @t43 @t46 @t105 @t19)) % 1.12/1.37 (define @t249 () (= @t58 @t65)) % 1.12/1.37 (define @t250 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t58 @t57)) % 1.12/1.37 (define @t251 () (= @t250 @t62)) % 1.12/1.37 (define @t252 () (= @t57 @t76)) % 1.12/1.37 (define @t253 () (not @t252)) % 1.12/1.37 (define @t254 () (@list @t62 @t58 @t57 @t19)) % 1.12/1.37 (define @t255 () (= @t65 @t58)) % 1.12/1.37 (define @t256 () (= @t62 @t250)) % 1.12/1.37 (define @t257 () (@list @t58 @t62 @t57 @t19)) % 1.12/1.37 (define @t258 () (tptp.hAPP @t29 @t57)) % 1.12/1.37 (define @t259 () (not (= @t57 @t75))) % 1.12/1.37 (define @t260 () (@list @t58 @t62 @t57)) % 1.12/1.37 (define @t261 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t21)) % 1.12/1.37 (define @t262 () (= @t81 @t75)) % 1.12/1.37 (define @t263 () (tptp.hAPP @t29 @t129)) % 1.12/1.37 (define @t264 () (tptp.hAPP @t29 @t81)) % 1.12/1.37 (define @t265 () (tptp.hAPP @t264 @t81)) % 1.12/1.37 (define @t266 () (tptp.class_Groups_Ozero @t19)) % 1.12/1.37 (define @t267 () (= @t58 @t57)) % 1.12/1.37 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t62 @t57)) % 1.12/1.37 (define @t269 () (tptp.class_Groups_Ocancel__semigroup__add @t19)) % 1.12/1.37 (define @t270 () (@list @t57 @t58 @t62 @t19)) % 1.12/1.37 (define @t271 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t57 @t62)) % 1.12/1.37 (define @t272 () (=> (= @t159 @t157) @t121)) % 1.12/1.37 (define @t273 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t46 @t43)) % 1.12/1.37 (define @t274 () (tptp.class_Rings_Omult__zero @t19)) % 1.12/1.37 (define @t275 () (= @t58 @t76)) % 1.12/1.37 (define @t276 () (tptp.hAPP @t63 @t58)) % 1.12/1.37 (define @t277 () (@list @t58 @t62 @t19)) % 1.12/1.37 (define @t278 () (= @t47 @t76)) % 1.12/1.37 (define @t279 () (= @t43 @t76)) % 1.12/1.37 (define @t280 () (not @t279)) % 1.12/1.37 (define @t281 () (tptp.class_Rings_Ono__zero__divisors @t19)) % 1.12/1.37 (define @t282 () (tptp.class_Groups_Omonoid__add @t19)) % 1.12/1.37 (define @t283 () (tptp.class_Groups_Ocomm__monoid__add @t19)) % 1.12/1.37 (define @t284 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t62 @t62)) % 1.12/1.37 (define @t285 () (tptp.class_Groups_Olinordered__ab__group__add @t19)) % 1.12/1.37 (define @t286 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t62 @t58)) % 1.12/1.37 (define @t287 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t58 @t57)) % 1.12/1.37 (define @t288 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t19)) % 1.12/1.37 (define @t289 () (@list @t58 @t57 @t62 @t19)) % 1.12/1.37 (define @t290 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t57 @t58)) % 1.12/1.37 (define @t291 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t157 @t162)) % 1.12/1.37 (define @t292 () (tptp.class_Groups_Oordered__ab__semigroup__add @t19)) % 1.12/1.37 (define @t293 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t105 @t46)) % 1.12/1.37 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t166 @t293)) % 1.12/1.37 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t105 @t103)) % 1.12/1.37 (define @t296 () (@list @t46 @t105 @t43 @t19)) % 1.12/1.37 (define @t297 () (@var "V_e" $$unsorted)) % 1.12/1.37 (define @t298 () (tptp.hAPP @t44 @t43)) % 1.12/1.37 (define @t299 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t58 @t76)) % 1.12/1.37 (define @t300 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t62 @t76)) % 1.12/1.37 (define @t301 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t58)) % 1.12/1.37 (define @t302 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t62)) % 1.12/1.37 (define @t303 () (or (and @t302 @t301) (and @t300 @t299))) % 1.12/1.37 (define @t304 () (or (and @t302 @t299) (and @t300 @t301))) % 1.12/1.37 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t47)) % 1.12/1.37 (define @t306 () (tptp.class_Rings_Oordered__cancel__semiring @t19)) % 1.12/1.37 (define @t307 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t47 @t76)) % 1.12/1.37 (define @t308 () (tptp.class_Rings_Oordered__ring @t19)) % 1.12/1.37 (define @t309 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t197 @t196)) % 1.12/1.37 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t105)) % 1.12/1.37 (define @t311 () (tptp.class_Rings_Oordered__semiring @t19)) % 1.12/1.37 (define @t312 () (tptp.hAPP @t31 @t105)) % 1.12/1.37 (define @t313 () (tptp.hAPP @t312 @t46)) % 1.12/1.37 (define @t314 () (tptp.hAPP @t312 @t43)) % 1.12/1.37 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t314 @t313)) % 1.12/1.37 (define @t316 () (=> @t125 (=> @t310 @t315))) % 1.12/1.37 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t105 @t76)) % 1.12/1.37 (define @t318 () (tptp.hAPP @t153 @t103)) % 1.12/1.37 (define @t319 () (=> @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t197 @t318))) % 1.12/1.37 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t46 @t157)) % 1.12/1.37 (define @t321 () (tptp.hAPP @t31 @t14)) % 1.12/1.37 (define @t322 () (tptp.hAPP @t321 @t18)) % 1.12/1.37 (define @t323 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t21 @t322)) % 1.12/1.37 (define @t324 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t323 @t18)) % 1.12/1.37 (define @t325 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t21 @t18)) % 1.12/1.37 (define @t326 () (not (= @t18 @t76))) % 1.12/1.37 (define @t327 () (@list @t21 @t14 @t18 @t19)) % 1.12/1.37 (define @t328 () (tptp.hAPP @t321 @t21)) % 1.12/1.37 (define @t329 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t18 @t14)) % 1.12/1.37 (define @t330 () (not (= @t14 @t76))) % 1.12/1.37 (define @t331 () (tptp.class_Fields_Ofield @t19)) % 1.12/1.37 (define @t332 () (@list @t18 @t21 @t14 @t19)) % 1.12/1.37 (define @t333 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t21 @t14)) % 1.12/1.37 (define @t334 () (tptp.hAPP @t188 @t14)) % 1.12/1.37 (define @t335 () (tptp.hAPP (tptp.hAPP @t31 @t15) @t18)) % 1.12/1.37 (define @t336 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t15 @t14)) % 1.12/1.37 (define @t337 () (@list @t15 @t21 @t14 @t18 @t19)) % 1.12/1.37 (define @t338 () (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t228) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t202 @t201))) % 1.12/1.37 (define @t339 () (tptp.class_Fields_Olinordered__field @t19)) % 1.12/1.37 (define @t340 () (not @t213)) % 1.12/1.37 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t19 @t18 @t21)) % 1.12/1.37 (define @t342 () (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t18)) % 1.12/1.37 (define @t343 () (not @t342)) % 1.12/1.37 (define @t344 () (not @t117)) % 1.12/1.37 (define @t345 () (=> @t344 (=> @t343 @t341))) % 1.12/1.37 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t19 @t14 @t21)) % 1.12/1.37 (define @t347 () (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t14 @t18) @t346)) % 1.12/1.37 (define @t348 () (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t14)) % 1.12/1.37 (define @t349 () (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t18 @t14) @t348)) % 1.12/1.37 (define @t350 () (tptp.c_Orderings_Oord__class_Oless @t19 @t105 @t43)) % 1.12/1.37 (define @t351 () (tptp.c_Orderings_Oord__class_Oless @t19 @t46 @t43)) % 1.12/1.37 (define @t352 () (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t105)) % 1.12/1.37 (define @t353 () (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t46)) % 1.12/1.37 (define @t354 () (tptp.c_Orderings_Oord__class_Oless @t19 @t46 @t105)) % 1.12/1.37 (define @t355 () (not (= @t18 @t21))) % 1.12/1.37 (define @t356 () (tptp.c_Orderings_Oord__class_Oless @t19 @t81 @t129)) % 1.12/1.37 (define @t357 () (not @t356)) % 1.12/1.37 (define @t358 () (= @t357 @t130)) % 1.12/1.37 (define @t359 () (tptp.c_Orderings_Oord__class_Oless @t19 @t129 @t81)) % 1.12/1.37 (define @t360 () (not @t130)) % 1.12/1.37 (define @t361 () (not @t106)) % 1.12/1.37 (define @t362 () (tptp.c_Orderings_Oord__class_Oless @t19 @t166 @t293)) % 1.12/1.37 (define @t363 () (tptp.c_Orderings_Oord__class_Oless @t19 @t157 @t162)) % 1.12/1.37 (define @t364 () (tptp.c_Orderings_Oord__class_Oless @t19 @t157 @t156)) % 1.12/1.37 (define @t365 () (tptp.c_Orderings_Oord__class_Oless @t19 @t105 @t103)) % 1.12/1.37 (define @t366 () (=> @t365 @t364)) % 1.12/1.37 (define @t367 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t19)) % 1.12/1.37 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t19 @t62 @t58)) % 1.12/1.37 (define @t369 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t129)) % 1.12/1.37 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81 @t129)) % 1.12/1.37 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t19 @t239 @t238)) % 1.12/1.37 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t19 @t105 @t76)) % 1.12/1.37 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t105)) % 1.12/1.37 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t325)) % 1.12/1.37 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t19 @t18 @t76)) % 1.12/1.37 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t76)) % 1.12/1.37 (define @t377 () (tptp.c_Orderings_Oord__class_Oless @t19 @t325 @t76)) % 1.12/1.37 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t18)) % 1.12/1.37 (define @t379 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t21)) % 1.12/1.37 (define @t380 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t58)) % 1.12/1.37 (define @t381 () (tptp.c_Orderings_Oord__class_Oless @t19 @t62 @t76)) % 1.12/1.37 (define @t382 () (tptp.c_Orderings_Oord__class_Oless @t19 @t58 @t76)) % 1.12/1.37 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t62)) % 1.12/1.37 (define @t384 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t62 @t58)) % 1.12/1.37 (define @t385 () (tptp.class_Fields_Olinordered__field__inverse__zero @t19)) % 1.12/1.37 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t325)) % 1.12/1.37 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t325 @t76)) % 1.12/1.37 (define @t388 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t18 @t15)) % 1.12/1.37 (define @t389 () (tptp.c_Orderings_Oord__class_Oless @t19 @t333 @t388)) % 1.12/1.37 (define @t390 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t15)) % 1.12/1.37 (define @t391 () (@list @t14 @t15 @t18 @t21 @t19)) % 1.12/1.37 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t15 @t14)) % 1.12/1.37 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t76)) % 1.12/1.37 (define @t394 () (tptp.c_Orderings_Oord__class_Oless @t19 @t57 @t76)) % 1.12/1.37 (define @t395 () (not @t394)) % 1.12/1.37 (define @t396 () (tptp.c_Orderings_Oord__class_Oless @t19 @t58 @t65)) % 1.12/1.37 (define @t397 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t57)) % 1.12/1.37 (define @t398 () (not @t397)) % 1.12/1.37 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t19 @t65 @t58)) % 1.12/1.37 (define @t400 () (tptp.c_Orderings_Oord__class_Oless @t19 @t62 @t250)) % 1.12/1.37 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t19 @t250 @t62)) % 1.12/1.37 (define @t402 () (@list @t62 @t57 @t58 @t19)) % 1.12/1.37 (define @t403 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t105 @t46)) % 1.12/1.37 (define @t404 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t105 @t43)) % 1.12/1.37 (define @t405 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t47)) % 1.12/1.37 (define @t406 () (=> @t405 (tptp.c_Orderings_Oord__class_Oless @t19 @t404 @t403))) % 1.12/1.37 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t19 @t58 @t62)) % 1.12/1.37 (define @t408 () (or (and @t397 @t368) (and @t394 @t407))) % 1.12/1.37 (define @t409 () (tptp.hAPP @t31 @t57)) % 1.12/1.37 (define @t410 () (tptp.hAPP @t409 @t58)) % 1.12/1.37 (define @t411 () (tptp.hAPP @t409 @t62)) % 1.12/1.37 (define @t412 () (tptp.c_Orderings_Oord__class_Oless @t19 @t411 @t410)) % 1.12/1.37 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t46)) % 1.12/1.37 (define @t414 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t43)) % 1.12/1.37 (define @t415 () (tptp.class_Rings_Olinordered__semiring__strict @t19)) % 1.12/1.37 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t19 @t47 @t76)) % 1.12/1.37 (define @t417 () (tptp.c_Orderings_Oord__class_Oless @t19 @t46 @t76)) % 1.12/1.37 (define @t418 () (=> @t414 @t413)) % 1.12/1.37 (define @t419 () (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t76)) % 1.12/1.37 (define @t420 () (tptp.c_Orderings_Oord__class_Oless @t19 @t197 @t196)) % 1.12/1.37 (define @t421 () (tptp.c_Orderings_Oord__class_Oless @t19 @t314 @t313)) % 1.12/1.37 (define @t422 () (=> @t353 (=> @t373 @t421))) % 1.12/1.37 (define @t423 () (= (tptp.c_Orderings_Oord__class_Oless @t19 @t284 @t76) @t381)) % 1.12/1.37 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t159)) % 1.12/1.37 (define @t425 () (=> @t413 @t424)) % 1.12/1.37 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t19 @t46 @t157)) % 1.12/1.37 (define @t427 () (=> @t354 @t426)) % 1.12/1.37 (define @t428 () (tptp.class_Rings_Olinordered__semidom @t19)) % 1.12/1.37 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t19 @t159 @t76)) % 1.12/1.37 (define @t430 () (=> @t417 @t429)) % 1.12/1.37 (define @t431 () (not @t97)) % 1.12/1.37 (define @t432 () (tptp.hAPP @t312 @t103)) % 1.12/1.37 (define @t433 () (tptp.hAPP @t263 @t178)) % 1.12/1.37 (define @t434 () (tptp.hAPP @t264 @t178)) % 1.12/1.37 (define @t435 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t178)) % 1.12/1.37 (define @t436 () (@list @t129 @t81 @t178)) % 1.12/1.37 (define @t437 () (tptp.hAPP (tptp.hAPP @t29 @t21) @t18)) % 1.12/1.37 (define @t438 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t21)) % 1.12/1.37 (define @t439 () (@list @t18 @t21)) % 1.12/1.37 (define @t440 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t18)) % 1.12/1.37 (define @t441 () (=> @t405 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t404 @t403))) % 1.12/1.37 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t65 @t58)) % 1.12/1.37 (define @t443 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t250 @t62)) % 1.12/1.37 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t58 @t65)) % 1.12/1.37 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t62 @t250)) % 1.12/1.37 (define @t446 () (=> @t373 @t125)) % 1.12/1.37 (define @t447 () (=> @t310 @t353)) % 1.12/1.37 (define @t448 () (=> @t421 @t447)) % 1.12/1.37 (define @t449 () (tptp.class_Rings_Olinordered__semiring @t19)) % 1.12/1.37 (define @t450 () (=> @t420 @t447)) % 1.12/1.37 (define @t451 () (tptp.c_Orderings_Oord__class_Oless @t19 @t197 @t318)) % 1.12/1.37 (define @t452 () (=> @t310 @t451)) % 1.12/1.37 (define @t453 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t411 @t410)) % 1.12/1.37 (define @t454 () (not @t82)) % 1.12/1.37 (define @t455 () (@var "V_s" $$unsorted)) % 1.12/1.37 (define @t456 () (tptp.hAPP @t29 @t78)) % 1.12/1.37 (define @t457 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t20 @t455)) % 1.12/1.37 (define @t458 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t22 @t78)) % 1.12/1.37 (define @t459 () (@list @t455 @t18 @t78 @t21 @t19)) % 1.12/1.37 (define @t460 () (tptp.hAPP @t29 @t178)) % 1.12/1.37 (define @t461 () (=> @t252 @t97)) % 1.12/1.37 (define @t462 () (@var "B_z" $$unsorted)) % 1.12/1.37 (define @t463 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t462)) % 1.12/1.37 (define @t464 () (@var "B_r" $$unsorted)) % 1.12/1.37 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t464 @t463)) % 1.12/1.37 (define @t466 () (@list @t462)) % 1.12/1.37 (define @t467 () (@list @t464)) % 1.12/1.37 (define @t468 () (not @t70)) % 1.12/1.37 (define @t469 () (tptp.tc_Polynomial_Opoly @t19)) % 1.12/1.37 (define @t470 () (tptp.c_Groups_Ozero__class_Ozero @t469)) % 1.12/1.37 (define @t471 () (@var "V_pa_2" $$unsorted)) % 1.12/1.37 (define @t472 () (= @t471 @t470)) % 1.12/1.37 (define @t473 () (tptp.c_Polynomial_OpCons @t19 @t62 @t471)) % 1.12/1.37 (define @t474 () (@list @t471 @t62 @t19)) % 1.12/1.37 (define @t475 () (@list @t81)) % 1.12/1.37 (define @t476 () (@var "B_K" $$unsorted)) % 1.12/1.37 (define @t477 () (tptp.hAPP (tptp.hAPP @t29 (tptp.c_RealVector_Onorm__class_Onorm @t19 @t3)) @t476)) % 1.12/1.37 (define @t478 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 (tptp.c_Rings_Oinverse__class_Odivide @t19 @t3 @t18)) @t477))) % 1.12/1.37 (define @t479 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t476)) % 1.12/1.37 (define @t480 () (@list @t476)) % 1.12/1.37 (define @t481 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 (tptp.hAPP (tptp.hAPP @t31 @t3) @t18)) @t477))) % 1.12/1.37 (define @t482 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 (tptp.hAPP @t32 @t3)) @t477))) % 1.12/1.37 (define @t483 () (@var "V_q" $$unsorted)) % 1.12/1.37 (define @t484 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t483) @t21)) % 1.12/1.37 (define @t485 () (@var "V_p" $$unsorted)) % 1.12/1.37 (define @t486 () (tptp.c_Polynomial_Opoly @t19 @t485)) % 1.12/1.37 (define @t487 () (tptp.hAPP @t486 @t21)) % 1.12/1.37 (define @t488 () (tptp.c_Groups_Otimes__class_Otimes @t469)) % 1.12/1.37 (define @t489 () (tptp.hAPP @t488 @t485)) % 1.12/1.37 (define @t490 () (tptp.hAPP @t489 @t483)) % 1.12/1.37 (define @t491 () (tptp.class_Rings_Ocomm__semiring__0 @t19)) % 1.12/1.37 (define @t492 () (@list @t21 @t483 @t485 @t19)) % 1.12/1.37 (define @t493 () (tptp.c_Groups_Oplus__class_Oplus @t469 @t485 @t483)) % 1.12/1.37 (define @t494 () (@var "V_q_2" $$unsorted)) % 1.12/1.37 (define @t495 () (= @t471 @t494)) % 1.12/1.37 (define @t496 () (tptp.c_Polynomial_Opoly @t19 @t471)) % 1.12/1.37 (define @t497 () (tptp.class_Rings_Oidom @t19)) % 1.12/1.37 (define @t498 () (and (tptp.class_Int_Oring__char__0 @t19) @t497)) % 1.12/1.37 (define @t499 () (tptp.c_Polynomial_Opoly @t19 @t470)) % 1.12/1.37 (define @t500 () (@list @t471 @t19)) % 1.12/1.37 (define @t501 () (tptp.c_Polynomial_OpCons @t19 @t43 @t485)) % 1.12/1.37 (define @t502 () (@list @t485 @t19)) % 1.12/1.37 (define @t503 () (@list @t483 @t19)) % 1.12/1.37 (define @t504 () (tptp.c_Polynomial_OpCons @t19 @t46 @t483)) % 1.12/1.37 (define @t505 () (@list @t483 @t46 @t485 @t43 @t19)) % 1.12/1.37 (define @t506 () (@var "B_b" $$unsorted)) % 1.12/1.37 (define @t507 () (@var "B_a" $$unsorted)) % 1.12/1.37 (define @t508 () (forall (@list @t507 @t506) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 (tptp.hAPP (tptp.hAPP @t31 @t507) @t506)) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_RealVector_Onorm__class_Onorm @t19 @t507)) (tptp.c_RealVector_Onorm__class_Onorm @t19 @t506))) @t476)))) % 1.12/1.37 (define @t509 () (@var "B_m" $$unsorted)) % 1.12/1.37 (define @t510 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.37 (define @t511 () (tptp.c_Polynomial_Opoly__rec @t19 @t110 @t178 @t2 @t471)) % 1.12/1.37 (define @t512 () (tptp.hAPP (tptp.hAPP @t2 @t62) @t471)) % 1.12/1.37 (define @t513 () (tptp.c_Polynomial_Opoly__rec @t19 @t110 @t178 @t2 (tptp.c_Polynomial_OpCons @t110 @t62 @t471))) % 1.12/1.37 (define @t514 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t110))) % 1.12/1.37 (define @t515 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t110)) @t514) @t178) @t178)) % 1.12/1.37 (define @t516 () (tptp.class_Groups_Ozero @t110)) % 1.12/1.37 (define @t517 () (tptp.hAPP @t488 @t483)) % 1.12/1.37 (define @t518 () (tptp.c_Polynomial_Opos__poly @t19 @t483)) % 1.12/1.37 (define @t519 () (tptp.c_Polynomial_Opos__poly @t19 @t485)) % 1.12/1.37 (define @t520 () (@list @t483 @t485 @t19)) % 1.12/1.37 (define @t521 () (tptp.c_Polynomial_Opcompose @t19 @t485 @t483)) % 1.12/1.37 (define @t522 () (@var "V_n" $$unsorted)) % 1.12/1.37 (define @t523 () (@list @t522)) % 1.12/1.37 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t476)) % 1.12/1.37 (define @t525 () (@var "V_n_2" $$unsorted)) % 1.12/1.37 (define @t526 () (@var "V_m_2" $$unsorted)) % 1.12/1.37 (define @t527 () (= @t526 @t525)) % 1.12/1.37 (define @t528 () (not @t527)) % 1.12/1.37 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t526 @t525)) % 1.12/1.37 (define @t530 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t526 @t525)) % 1.12/1.37 (define @t531 () (@list @t525 @t526)) % 1.12/1.37 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t533 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t534 () (@list @t522 @t184)) % 1.12/1.37 (define @t535 () (= @t184 @t522)) % 1.12/1.37 (define @t536 () (not @t535)) % 1.12/1.37 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t525 @t526)) % 1.12/1.37 (define @t538 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t18)) % 1.12/1.37 (define @t539 () (@list @t184 @t522)) % 1.12/1.37 (define @t540 () (@var "V_t" $$unsorted)) % 1.12/1.37 (define @t541 () (@var "V_P_2" $$unsorted)) % 1.12/1.37 (define @t542 () (tptp.hAPP @t541 @t525)) % 1.12/1.37 (define @t543 () (tptp.hBOOL (tptp.hAPP @t542 @t526))) % 1.12/1.37 (define @t544 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t175)) % 1.12/1.37 (define @t545 () (@var "V_l" $$unsorted)) % 1.12/1.37 (define @t546 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t545)) % 1.12/1.37 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t175 @t545)) % 1.12/1.37 (define @t548 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t173)) % 1.12/1.37 (define @t549 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t175)) % 1.12/1.37 (define @t550 () (@list @t545 @t173 @t175 @t174)) % 1.12/1.37 (define @t551 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t175 @t173)) % 1.12/1.37 (define @t552 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t175)) % 1.12/1.37 (define @t553 () (@list @t184 @t175 @t174)) % 1.12/1.37 (define @t554 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t175 @t184)) % 1.12/1.37 (define @t555 () (@var "V_k_2" $$unsorted)) % 1.12/1.37 (define @t556 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t555 @t525)) % 1.12/1.37 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t555 @t526)) % 1.12/1.37 (define @t558 () (@list @t525 @t526 @t555)) % 1.12/1.37 (define @t559 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.12/1.37 (define @t560 () (tptp.hAPP @t559 @t184)) % 1.12/1.37 (define @t561 () (tptp.hAPP @t560 @t184)) % 1.12/1.37 (define @t562 () (@list @t184)) % 1.12/1.37 (define @t563 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t564 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t522 @t184)) % 1.12/1.37 (define @t565 () (@var "B_n" $$unsorted)) % 1.12/1.37 (define @t566 () (@var "V_l_2" $$unsorted)) % 1.12/1.37 (define @t567 () (@list @t565)) % 1.12/1.37 (define @t568 () (@list @t566 @t555)) % 1.12/1.37 (define @t569 () (@var "B_k" $$unsorted)) % 1.12/1.37 (define @t570 () (@list @t569)) % 1.12/1.37 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t175)) % 1.12/1.37 (define @t572 () (tptp.hAPP @t559 @t175)) % 1.12/1.37 (define @t573 () (tptp.hAPP @t572 @t173)) % 1.12/1.37 (define @t574 () (tptp.hAPP @t559 @t174)) % 1.12/1.37 (define @t575 () (tptp.hAPP @t574 @t173)) % 1.12/1.37 (define @t576 () (tptp.hAPP @t559 @t173)) % 1.12/1.37 (define @t577 () (tptp.hAPP @t576 @t175)) % 1.12/1.37 (define @t578 () (tptp.hAPP @t576 @t174)) % 1.12/1.37 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t545)) % 1.12/1.37 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t522)) % 1.12/1.37 (define @t581 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t173) @t522)) % 1.12/1.37 (define @t582 () (@list @t522 @t173 @t184)) % 1.12/1.37 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522 @t184)) % 1.12/1.37 (define @t584 () (= @t525 @t510)) % 1.12/1.37 (define @t585 () (@list @t525)) % 1.12/1.37 (define @t586 () (= @t526 @t510)) % 1.12/1.37 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t526 @t525)) % 1.12/1.37 (define @t588 () (tptp.hAPP @t559 @t526)) % 1.12/1.37 (define @t589 () (tptp.hAPP @t588 @t525)) % 1.12/1.37 (define @t590 () (= @t555 @t510)) % 1.12/1.37 (define @t591 () (or @t527 @t590)) % 1.12/1.37 (define @t592 () (tptp.hAPP @t559 @t555)) % 1.12/1.37 (define @t593 () (tptp.hAPP @t592 @t525)) % 1.12/1.37 (define @t594 () (tptp.hAPP @t592 @t526)) % 1.12/1.37 (define @t595 () (= @t594 @t593)) % 1.12/1.37 (define @t596 () (tptp.hAPP @t559 @t525)) % 1.12/1.37 (define @t597 () (tptp.hAPP @t596 @t555)) % 1.12/1.37 (define @t598 () (tptp.hAPP @t588 @t555)) % 1.12/1.37 (define @t599 () (@list @t525 @t555 @t526)) % 1.12/1.37 (define @t600 () (= @t522 @t510)) % 1.12/1.37 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t522)) % 1.12/1.37 (define @t602 () (not @t600)) % 1.12/1.37 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t173)) % 1.12/1.37 (define @t604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t555)) % 1.12/1.37 (define @t605 () (=> @t604 @t529)) % 1.12/1.37 (define @t606 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t594 @t593)) % 1.12/1.37 (define @t607 () (and @t604 @t530)) % 1.12/1.37 (define @t608 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t594 @t593)) % 1.12/1.37 (define @t609 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t525)) % 1.12/1.37 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t526)) % 1.12/1.37 (define @t611 () (not @t584)) % 1.12/1.37 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t18)) % 1.12/1.37 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t525 @t555)) % 1.12/1.37 (define @t614 () (tptp.hAPP @t559 @t522)) % 1.12/1.37 (define @t615 () (tptp.hAPP @t614 @t173)) % 1.12/1.37 (define @t616 () (tptp.hAPP @t560 @t173)) % 1.12/1.37 (define @t617 () (@list @t173 @t522 @t184)) % 1.12/1.37 (define @t618 () (tptp.hAPP @t560 @t522)) % 1.12/1.37 (define @t619 () (tptp.hAPP @t576 @t522)) % 1.12/1.37 (define @t620 () (tptp.hAPP @t576 @t184)) % 1.12/1.37 (define @t621 () (@list @t522 @t184 @t173)) % 1.12/1.37 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t18 @t14)) % 1.12/1.37 (define @t623 () (tptp.hAPP @t614 @t184)) % 1.12/1.37 (define @t624 () (@var "V_u" $$unsorted)) % 1.12/1.37 (define @t625 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t622)) % 1.12/1.37 (define @t626 () (@list @t18 @t14 @t21)) % 1.12/1.37 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t622)) % 1.12/1.37 (define @t628 () (@var "V_v" $$unsorted)) % 1.12/1.37 (define @t629 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t31 @t624) @t21) (tptp.hAPP (tptp.hAPP @t31 @t628) @t18))) % 1.12/1.37 (define @t630 () (tptp.c_Groups_Oone__class_Oone @t19)) % 1.12/1.37 (define @t631 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t624 @t628) @t630)) % 1.12/1.37 (define @t632 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t628)) % 1.12/1.37 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t624)) % 1.12/1.37 (define @t634 () (@list @t628 @t624 @t18 @t43 @t21 @t19)) % 1.12/1.37 (define @t635 () (@var "B_e" $$unsorted)) % 1.12/1.37 (define @t636 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.37 (define @t637 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t19)) % 1.12/1.37 (define @t638 () (tptp.c_Groups_Oone__class_Oone @t469)) % 1.12/1.37 (define @t639 () (@list @t14)) % 1.12/1.37 (define @t640 () (= (tptp.hAPP (tptp.hAPP @t31 @t630) @t43) @t43)) % 1.12/1.37 (define @t641 () (tptp.class_Groups_Omonoid__mult @t19)) % 1.12/1.37 (define @t642 () (tptp.class_Groups_Ocomm__monoid__mult @t19)) % 1.12/1.37 (define @t643 () (= (tptp.hAPP @t44 @t630) @t43)) % 1.12/1.37 (define @t644 () (tptp.class_Rings_Ozero__neq__one @t19)) % 1.12/1.37 (define @t645 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.37 (define @t646 () (= @t525 @t645)) % 1.12/1.37 (define @t647 () (= @t526 @t645)) % 1.12/1.37 (define @t648 () (and @t647 @t646)) % 1.12/1.37 (define @t649 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t630)) % 1.12/1.37 (define @t650 () (tptp.hAPP (tptp.hAPP @t31 @t649) @t184)) % 1.12/1.37 (define @t651 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t630 @t630)) % 1.12/1.37 (define @t652 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t43 @t43)) % 1.12/1.37 (define @t653 () (=> @t280 (= @t652 @t630))) % 1.12/1.37 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t18 @t630)) % 1.12/1.37 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t18)) % 1.12/1.37 (define @t656 () (tptp.c_Rings_Oinverse__class_Odivide @t19 @t159 @t651)) % 1.12/1.37 (define @t657 () (@list @t21)) % 1.12/1.37 (define @t658 () (@var "B_i" $$unsorted)) % 1.12/1.37 (define @t659 () (tptp.hAPP @t541 @t658)) % 1.12/1.37 (define @t660 () (tptp.hBOOL @t659)) % 1.12/1.37 (define @t661 () (@list @t658)) % 1.12/1.37 (define @t662 () (tptp.hBOOL @t542)) % 1.12/1.37 (define @t663 () (tptp.hBOOL (tptp.hAPP @t541 @t510))) % 1.12/1.37 (define @t664 () (tptp.c_NthRoot_Oroot @t522 @t21)) % 1.12/1.37 (define @t665 () (tptp.c_NthRoot_Oroot @t184 @t664)) % 1.12/1.37 (define @t666 () (= (tptp.c_NthRoot_Oroot @t618 @t21) @t665)) % 1.12/1.37 (define @t667 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t184)) % 1.12/1.37 (define @t668 () (@list @t21 @t522 @t184)) % 1.12/1.37 (define @t669 () (tptp.c_NthRoot_Oroot @t522 @t18)) % 1.12/1.37 (define @t670 () (= (tptp.c_NthRoot_Oroot @t522 @t437) (tptp.hAPP (tptp.hAPP @t29 @t664) @t669))) % 1.12/1.37 (define @t671 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t18)) % 1.12/1.37 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t21)) % 1.12/1.37 (define @t673 () (@list @t18 @t21 @t522)) % 1.12/1.37 (define @t674 () (tptp.c_NthRoot_Oroot @t525 @t129)) % 1.12/1.37 (define @t675 () (tptp.c_NthRoot_Oroot @t525 @t81)) % 1.12/1.37 (define @t676 () (@list @t129 @t81 @t525)) % 1.12/1.37 (define @t677 () (@list @t81 @t525)) % 1.12/1.37 (define @t678 () (@list @t129 @t525)) % 1.12/1.37 (define @t679 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81 @t636)) % 1.12/1.37 (define @t680 () (@var "V_N" $$unsorted)) % 1.12/1.37 (define @t681 () (tptp.c_NthRoot_Oroot @t680 @t21)) % 1.12/1.37 (define @t682 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t636 @t21)) % 1.12/1.37 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t680)) % 1.12/1.37 (define @t684 () (@list @t21 @t680 @t522)) % 1.12/1.37 (define @t685 () (=> @t440 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t664 @t669))) % 1.12/1.37 (define @t686 () (@list @t21 @t522)) % 1.12/1.37 (define @t687 () (@var "V_x_1" $$unsorted)) % 1.12/1.37 (define @t688 () (@var "V_n_1" $$unsorted)) % 1.12/1.37 (define @t689 () (tptp.c_RComplete_Onatceiling @t21)) % 1.12/1.37 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t636)) % 1.12/1.37 (define @t691 () (tptp.c_RComplete_Onatfloor @t21)) % 1.12/1.37 (define @t692 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.37 (define @t693 () (tptp.hAPP @t692 @t664)) % 1.12/1.37 (define @t694 () (= (tptp.hAPP @t693 @t522) @t21)) % 1.12/1.37 (define @t695 () (tptp.c_Power_Opower__class_Opower @t19)) % 1.12/1.37 (define @t696 () (tptp.hAPP @t695 @t21)) % 1.12/1.37 (define @t697 () (tptp.hAPP (tptp.hAPP @t692 @t22) @t522)) % 1.12/1.37 (define @t698 () (tptp.hAPP @t696 @t522)) % 1.12/1.37 (define @t699 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t698)) % 1.12/1.37 (define @t700 () (@list @t522 @t21 @t19)) % 1.12/1.37 (define @t701 () (tptp.hAPP @t696 @t485)) % 1.12/1.37 (define @t702 () (@list @t483 @t485 @t21 @t19)) % 1.12/1.37 (define @t703 () (tptp.hAPP @t695 @t18)) % 1.12/1.37 (define @t704 () (tptp.hAPP @t696 @t483)) % 1.12/1.37 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t75)) % 1.12/1.37 (define @t706 () (tptp.hAPP @t692 @t21)) % 1.12/1.37 (define @t707 () (tptp.c_RComplete_Onatfloor @t81)) % 1.12/1.37 (define @t708 () (tptp.c_RComplete_Onatceiling @t81)) % 1.12/1.37 (define @t709 () (tptp.c_RComplete_Onatfloor @t43)) % 1.12/1.37 (define @t710 () (@list @t46 @t43)) % 1.12/1.37 (define @t711 () (tptp.hAPP @t706 @t522)) % 1.12/1.37 (define @t712 () (tptp.hAPP (tptp.hAPP @t695 @t46) @t522)) % 1.12/1.37 (define @t713 () (tptp.hAPP @t695 @t43)) % 1.12/1.37 (define @t714 () (tptp.hAPP @t713 @t522)) % 1.12/1.37 (define @t715 () (tptp.c_Orderings_Oord__class_Oless @t19 @t714 @t712)) % 1.12/1.37 (define @t716 () (@list @t522 @t46 @t43 @t19)) % 1.12/1.37 (define @t717 () (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t43)) % 1.12/1.37 (define @t718 () (@list @t522 @t43 @t19)) % 1.12/1.37 (define @t719 () (tptp.hAPP @t695 @t58)) % 1.12/1.37 (define @t720 () (tptp.hAPP @t719 @t129)) % 1.12/1.37 (define @t721 () (tptp.hAPP @t719 @t81)) % 1.12/1.37 (define @t722 () (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t58)) % 1.12/1.37 (define @t723 () (@list @t129 @t81 @t58 @t19)) % 1.12/1.37 (define @t724 () (tptp.hAPP @t713 @t184)) % 1.12/1.37 (define @t725 () (@list @t522 @t184 @t43 @t19)) % 1.12/1.37 (define @t726 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.37 (define @t727 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t81)) % 1.12/1.37 (define @t728 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.12/1.37 (define @t729 () (@list @t525 @t81)) % 1.12/1.37 (define @t730 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t81)) % 1.12/1.37 (define @t731 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.12/1.37 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 (tptp.hAPP (tptp.hAPP @t731 @t81) @t525))) % 1.12/1.37 (define @t733 () (tptp.hAPP @t731 @t174)) % 1.12/1.37 (define @t734 () (tptp.hAPP @t733 @t522)) % 1.12/1.37 (define @t735 () (tptp.hAPP @t733 @t184)) % 1.12/1.37 (define @t736 () (@list @t522 @t184 @t174)) % 1.12/1.37 (define @t737 () (tptp.hAPP @t728 @t21)) % 1.12/1.37 (define @t738 () (tptp.hAPP @t737 @t18)) % 1.12/1.37 (define @t739 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.12/1.37 (define @t740 () (tptp.hAPP @t31 @t714)) % 1.12/1.37 (define @t741 () (tptp.hAPP @t44 @t714)) % 1.12/1.37 (define @t742 () (@list @t522 @t19)) % 1.12/1.37 (define @t743 () (= (tptp.hAPP (tptp.hAPP @t695 @t228) @t522) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t714 @t712))) % 1.12/1.37 (define @t744 () (tptp.hAPP (tptp.hAPP @t695 @t202) @t522)) % 1.12/1.37 (define @t745 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t630 @t43)) % 1.12/1.37 (define @t746 () (tptp.hAPP @t695 @t62)) % 1.12/1.37 (define @t747 () (tptp.hAPP @t746 @t525)) % 1.12/1.37 (define @t748 () (tptp.class_Power_Opower @t19)) % 1.12/1.37 (define @t749 () (@list @t46 @t522 @t43 @t19)) % 1.12/1.37 (define @t750 () (tptp.hAPP (tptp.hAPP @t695 @t76) @t522)) % 1.12/1.37 (define @t751 () (tptp.class_Rings_Osemiring__0 @t19)) % 1.12/1.37 (define @t752 () (tptp.hAPP @t713 @t680)) % 1.12/1.37 (define @t753 () (@list @t43 @t680 @t522 @t19)) % 1.12/1.37 (define @t754 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522 @t680)) % 1.12/1.37 (define @t755 () (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t630)) % 1.12/1.37 (define @t756 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t522)) % 1.12/1.37 (define @t757 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t756 @t636)) % 1.12/1.37 (define @t758 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t21)) % 1.12/1.37 (define @t759 () (@list @t522 @t21)) % 1.12/1.37 (define @t760 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t731 @t184) @t522))) % 1.12/1.37 (define @t761 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t184)) % 1.12/1.37 (define @t762 () (tptp.hAPP (tptp.hAPP @t692 @t761) @t522)) % 1.12/1.37 (define @t763 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.37 (define @t764 () (@list @t178)) % 1.12/1.37 (define @t765 () (tptp.hAPP @t739 @t14)) % 1.12/1.37 (define @t766 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t763 @t14)) % 1.12/1.37 (define @t767 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t179 @t178)) % 1.12/1.37 (define @t768 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t179 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t178 @t763))) % 1.12/1.37 (define @t769 () (@list @t178 @t179)) % 1.12/1.37 (define @t770 () (tptp.hAPP (tptp.hAPP @t739 @t526) @t525)) % 1.12/1.37 (define @t771 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t526)) % 1.12/1.37 (define @t772 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t525)) % 1.12/1.37 (define @t773 () (@list @t526 @t525)) % 1.12/1.37 (define @t774 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t21)) % 1.12/1.37 (define @t775 () (tptp.hAPP @t739 @t15)) % 1.12/1.37 (define @t776 () (tptp.hAPP @t775 @t86)) % 1.12/1.37 (define @t777 () (tptp.hAPP @t775 @t88)) % 1.12/1.37 (define @t778 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t86)) % 1.12/1.37 (define @t779 () (@list @t86 @t88 @t15)) % 1.12/1.37 (define @t780 () (tptp.hAPP @t739 @t86)) % 1.12/1.37 (define @t781 () (tptp.hAPP @t739 @t88)) % 1.12/1.37 (define @t782 () (tptp.hAPP @t780 @t15)) % 1.12/1.37 (define @t783 () (tptp.hAPP @t781 @t15)) % 1.12/1.37 (define @t784 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t174 @t175)) % 1.12/1.37 (define @t785 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 @t14)) % 1.12/1.37 (define @t786 () (@var "V_z_H" $$unsorted)) % 1.12/1.37 (define @t787 () (@var "V_w_H" $$unsorted)) % 1.12/1.37 (define @t788 () (tptp.hAPP @t739 @t173)) % 1.12/1.37 (define @t789 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t526)) % 1.12/1.37 (define @t790 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t691)) % 1.12/1.37 (define @t791 () (@list @t43 @t21)) % 1.12/1.37 (define @t792 () (@var "V_one_2" $$unsorted)) % 1.12/1.37 (define @t793 () (@var "V_times_2" $$unsorted)) % 1.12/1.37 (define @t794 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t43)) % 1.12/1.37 (define @t795 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t62)) % 1.12/1.37 (define @t796 () (@list @t62 @t81)) % 1.12/1.37 (define @t797 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t794)) % 1.12/1.37 (define @t798 () (@list @t522 @t14)) % 1.12/1.37 (define @t799 () (tptp.hAPP @t739 @t43)) % 1.12/1.37 (define @t800 () (= @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 (tptp.hAPP @t799 @t483)))) % 1.12/1.37 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t43)) % 1.12/1.37 (define @t802 () (@list @t483 @t78 @t43)) % 1.12/1.37 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t174 @t175)) % 1.12/1.37 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t15 @t14)) % 1.12/1.37 (define @t805 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t14 @t15)) % 1.12/1.37 (define @t806 () (@var "V_q_H" $$unsorted)) % 1.12/1.37 (define @t807 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t42)) % 1.12/1.37 (define @t808 () (@var "V_r_H" $$unsorted)) % 1.12/1.37 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t808 @t42)) % 1.12/1.37 (define @t810 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t739 @t42) @t806) @t808)) % 1.12/1.37 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t810)) % 1.12/1.37 (define @t812 () (@list @t808 @t806 @t42)) % 1.12/1.37 (define @t813 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t808)) % 1.12/1.37 (define @t814 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t810 @t726)) % 1.12/1.37 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t483)) % 1.12/1.37 (define @t816 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t46)) % 1.12/1.37 (define @t817 () (tptp.hAPP @t739 @t46)) % 1.12/1.37 (define @t818 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t817 @t483) @t78)) % 1.12/1.37 (define @t819 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t817 @t806) @t808) @t818)) % 1.12/1.37 (define @t820 () (@list @t78 @t483 @t808 @t806 @t46)) % 1.12/1.37 (define @t821 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t483 @t806)) % 1.12/1.37 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t42 @t46)) % 1.12/1.37 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t78)) % 1.12/1.37 (define @t824 () (= @t818 @t810)) % 1.12/1.37 (define @t825 () (@list @t808 @t806 @t42 @t78 @t483 @t46)) % 1.12/1.37 (define @t826 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t78)) % 1.12/1.37 (define @t827 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t78 @t726)) % 1.12/1.37 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t21)) % 1.12/1.37 (define @t829 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t18)) % 1.12/1.37 (define @t830 () (@var "V_X_2" $$unsorted)) % 1.12/1.37 (define @t831 () (tptp.hAPP @t830 @t509)) % 1.12/1.37 (define @t832 () (tptp.hAPP @t830 @t565)) % 1.12/1.37 (define @t833 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509 @t565)) % 1.12/1.37 (define @t834 () (@list @t509 @t565)) % 1.12/1.37 (define @t835 () (@list @t830 @t19)) % 1.12/1.37 (define @t836 () (@var "B_y" $$unsorted)) % 1.12/1.37 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t43)) % 1.12/1.37 (define @t838 () (@list @t43 @t522)) % 1.12/1.37 (define @t839 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t840 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t620 @t619)) % 1.12/1.37 (define @t841 () (= @t840 @t839)) % 1.12/1.37 (define @t842 () (= @t173 @t510)) % 1.12/1.37 (define @t843 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t46)) % 1.12/1.37 (define @t844 () (tptp.hAPP @t559 @t46)) % 1.12/1.37 (define @t845 () (tptp.hAPP @t844 @t105)) % 1.12/1.37 (define @t846 () (@list @t105 @t46 @t43)) % 1.12/1.37 (define @t847 () (tptp.class_Divides_Osemiring__div @t19)) % 1.12/1.37 (define @t848 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t43 @t46)) % 1.12/1.37 (define @t849 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t314 @t313)) % 1.12/1.37 (define @t850 () (=> @t246 (= @t849 @t848))) % 1.12/1.37 (define @t851 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t105 @t848)) % 1.12/1.37 (define @t852 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t196)) % 1.12/1.37 (define @t853 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t313)) % 1.12/1.37 (define @t854 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t848 @t630)) % 1.12/1.37 (define @t855 () (@var "B_j" $$unsorted)) % 1.12/1.37 (define @t856 () (= @t525 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t592 @t658) @t855))) % 1.12/1.37 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t855 @t555)) % 1.12/1.37 (define @t858 () (@list @t658 @t855)) % 1.12/1.37 (define @t859 () (not @t590)) % 1.12/1.37 (define @t860 () (@list @t555 @t525 @t541)) % 1.12/1.37 (define @t861 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t103)) % 1.12/1.37 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t103)) % 1.12/1.37 (define @t863 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t832)) % 1.12/1.37 (define @t864 () (exists @t480 (and @t479 (forall @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t863 @t476))))) % 1.12/1.37 (define @t865 () (tptp.c_SEQ_OBseq @t19 @t830)) % 1.12/1.37 (define @t866 () (tptp.c_Divides_Odiv__class_Odiv @t469 @t21 @t18)) % 1.12/1.37 (define @t867 () (tptp.hAPP @t488 @t18)) % 1.12/1.37 (define @t868 () (tptp.hAPP @t867 @t14)) % 1.12/1.37 (define @t869 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t46 @t105)) % 1.12/1.37 (define @t870 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t46 @t105)) % 1.12/1.37 (define @t871 () (tptp.c_Divides_Odiv__class_Omod @t19 @t43 @t46)) % 1.12/1.37 (define @t872 () (@list @t46)) % 1.12/1.37 (define @t873 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t18)) % 1.12/1.37 (define @t874 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t46)) % 1.12/1.37 (define @t875 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t46)) % 1.12/1.37 (define @t876 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t726)) % 1.12/1.37 (define @t877 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t62 @t58)) % 1.12/1.37 (define @t878 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t877 @t726)) % 1.12/1.37 (define @t879 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t58 @t726)) % 1.12/1.37 (define @t880 () (@list @t62 @t58)) % 1.12/1.37 (define @t881 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t58)) % 1.12/1.37 (define @t882 () (@list @t43)) % 1.12/1.37 (define @t883 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t884 () (@var "B_q" $$unsorted)) % 1.12/1.37 (define @t885 () (@list @t884)) % 1.12/1.37 (define @t886 () (@list @t61 @t526)) % 1.12/1.37 (define @t887 () (tptp.c_Divides_Odiv__class_Omod @t19 @t46 @t105)) % 1.12/1.37 (define @t888 () (tptp.c_Divides_Odiv__class_Omod @t19 @t47 @t105)) % 1.12/1.37 (define @t889 () (tptp.c_Divides_Odiv__class_Omod @t19 @t43 @t105)) % 1.12/1.37 (define @t890 () (tptp.hAPP @t31 @t889)) % 1.12/1.37 (define @t891 () (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.hAPP @t890 @t46) @t105)) % 1.12/1.37 (define @t892 () (= @t887 (tptp.c_Divides_Odiv__class_Omod @t19 @t42 @t105))) % 1.12/1.37 (define @t893 () (= @t889 (tptp.c_Divides_Odiv__class_Omod @t19 @t192 @t105))) % 1.12/1.37 (define @t894 () (@list @t42 @t46 @t192 @t105 @t43 @t19)) % 1.12/1.37 (define @t895 () (tptp.c_Divides_Odiv__class_Omod @t19 @t159 @t105)) % 1.12/1.37 (define @t896 () (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t889 @t46) @t105)) % 1.12/1.37 (define @t897 () (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t887) @t105)) % 1.12/1.37 (define @t898 () (tptp.hAPP (tptp.hAPP @t31 @t848) @t46)) % 1.12/1.37 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t153 @t848) @t871)) % 1.12/1.37 (define @t900 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t898 @t871)) % 1.12/1.37 (define @t901 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t192 @t46)) % 1.12/1.37 (define @t902 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t726)) % 1.12/1.37 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t43 @t192)) % 1.12/1.37 (define @t904 () (@list @t46 @t192 @t43)) % 1.12/1.37 (define @t905 () (= @t874 @t726)) % 1.12/1.37 (define @t906 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t43)) % 1.12/1.37 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t43 @t726)) % 1.12/1.37 (define @t908 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t42)) % 1.12/1.37 (define @t909 () (@list @t46 @t42 @t43)) % 1.12/1.37 (define @t910 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t874 @t726)) % 1.12/1.37 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t877)) % 1.12/1.37 (define @t912 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t46)) % 1.12/1.37 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t43)) % 1.12/1.37 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t62)) % 1.12/1.37 (define @t915 () (@var "V_i_2" $$unsorted)) % 1.12/1.37 (define @t916 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t915 @t555)) % 1.12/1.37 (define @t917 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t555)) % 1.12/1.37 (define @t918 () (= @t555 @t726)) % 1.12/1.37 (define @t919 () (tptp.hAPP @t817 @t105)) % 1.12/1.37 (define @t920 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t105)) % 1.12/1.37 (define @t921 () (@list @t46 @t43 @t105)) % 1.12/1.37 (define @t922 () (tptp.hAPP @t559 @t43)) % 1.12/1.37 (define @t923 () (@list @t483 @t46 @t78 @t105)) % 1.12/1.37 (define @t924 () (tptp.hBOOL (tptp.hAPP @t541 @t855))) % 1.12/1.37 (define @t925 () (@var "V_b_1" $$unsorted)) % 1.12/1.37 (define @t926 () (@var "V_a_1" $$unsorted)) % 1.12/1.37 (define @t927 () (not (= @t925 @t726))) % 1.12/1.37 (define @t928 () (@var "V_r_1" $$unsorted)) % 1.12/1.37 (define @t929 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t925)) % 1.12/1.37 (define @t930 () (not @t929)) % 1.12/1.37 (define @t931 () (tptp.hAPP @t739 @t925)) % 1.12/1.37 (define @t932 () (tptp.hAPP @t739 @t555)) % 1.12/1.37 (define @t933 () (= @t525 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t932 @t658) @t855))) % 1.12/1.37 (define @t934 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555 @t855) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t855 @t726) @t933)) % 1.12/1.37 (define @t935 () (@list @t855)) % 1.12/1.37 (define @t936 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555 @t726)) % 1.12/1.37 (define @t937 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t855) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t855 @t555) @t933)) % 1.12/1.37 (define @t938 () (tptp.hAPP @t541 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t525 @t555))) % 1.12/1.37 (define @t939 () (@var "V_K_2" $$unsorted)) % 1.12/1.37 (define @t940 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t863 @t939)) % 1.12/1.37 (define @t941 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t105)) % 1.12/1.37 (define @t942 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t105)) % 1.12/1.37 (define @t943 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t46)) % 1.12/1.37 (define @t944 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t43 @t46)) % 1.12/1.37 (define @t945 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t817 @t874) @t944)) % 1.12/1.37 (define @t946 () (tptp.hAPP @t799 @t941)) % 1.12/1.37 (define @t947 () (tptp.hAPP @t799 @t46)) % 1.12/1.37 (define @t948 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t173)) % 1.12/1.37 (define @t949 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t184)) % 1.12/1.37 (define @t950 () (@list @t18 @t184 @t21)) % 1.12/1.37 (define @t951 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t944 @t46)) % 1.12/1.37 (define @t952 () (@list @t43 @t46)) % 1.12/1.37 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t944)) % 1.12/1.37 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t184)) % 1.12/1.37 (define @t955 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t947 @t105)) % 1.12/1.37 (define @t956 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t946 @t105)) % 1.12/1.37 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t944)) % 1.12/1.37 (define @t958 () (= @t944 @t43)) % 1.12/1.37 (define @t959 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t944 @t726)) % 1.12/1.37 (define @t960 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t525 @t555)) % 1.12/1.37 (define @t961 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t817 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t483 @t105)) @t78)) % 1.12/1.37 (define @t962 () (@list @t483 @t78 @t46 @t105)) % 1.12/1.37 (define @t963 () (@var "V_q_1" $$unsorted)) % 1.12/1.37 (define @t964 () (tptp.hBOOL (tptp.hAPP @t659 @t855))) % 1.12/1.37 (define @t965 () (tptp.hBOOL (tptp.hAPP @t938 @t960))) % 1.12/1.37 (define @t966 () (@list @t525 @t541 @t555)) % 1.12/1.37 (define @t967 () (@var "V_N_2" $$unsorted)) % 1.12/1.37 (define @t968 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t62 @t58)) % 1.12/1.37 (define @t969 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t46)) % 1.12/1.37 (define @t970 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t173 @t184)) % 1.12/1.37 (define @t971 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t173 @t522)) % 1.12/1.37 (define @t972 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t173 (tptp.c_Divides_Odiv__class_Omod @t19 @t184 @t522))) % 1.12/1.37 (define @t973 () (@list @t522 @t184 @t173 @t19)) % 1.12/1.37 (define @t974 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t105 @t46)) % 1.12/1.37 (define @t975 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t522 @t184)) % 1.12/1.37 (define @t976 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t526 @t525)) % 1.12/1.37 (define @t977 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t594 @t593)) % 1.12/1.37 (define @t978 () (tptp.hAPP @t703 @t522)) % 1.12/1.37 (define @t979 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t21 @t18)) % 1.12/1.37 (define @t980 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t526 @t555)) % 1.12/1.37 (define @t981 () (@list @t555 @t526 @t19)) % 1.12/1.37 (define @t982 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t196)) % 1.12/1.37 (define @t983 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t105)) % 1.12/1.37 (define @t984 () (tptp.class_Rings_Odvd @t19)) % 1.12/1.37 (define @t985 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t47 @t105)) % 1.12/1.37 (define @t986 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t46 @t105)) % 1.12/1.37 (define @t987 () (or @t252 @t968)) % 1.12/1.37 (define @t988 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t129 @t81)) % 1.12/1.37 (define @t989 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t129)) % 1.12/1.37 (define @t990 () (and @t989 (not @t988))) % 1.12/1.37 (define @t991 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t43)) % 1.12/1.37 (define @t992 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t46)) % 1.12/1.37 (define @t993 () (and @t992 (not @t991))) % 1.12/1.37 (define @t994 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t18)) % 1.12/1.37 (define @t995 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t18 @t21)) % 1.12/1.37 (define @t996 () (and @t994 (not @t995))) % 1.12/1.37 (define @t997 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t105)) % 1.12/1.37 (define @t998 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t105)) % 1.12/1.37 (define @t999 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t184 @t522)) % 1.12/1.37 (define @t1000 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t14)) % 1.12/1.37 (define @t1001 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t18 @t14)) % 1.12/1.37 (define @t1002 () (and @t997 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t105 @t43)))) % 1.12/1.37 (define @t1003 () (and @t1000 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t14 @t21)))) % 1.12/1.37 (define @t1004 () (=> (and @t1001 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t14 @t18))) @t1003)) % 1.12/1.37 (define @t1005 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t21 @t18)) % 1.12/1.37 (define @t1006 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t18 @t21)) % 1.12/1.37 (define @t1007 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t46 @t43)) % 1.12/1.37 (define @t1008 () (tptp.hAPP @t31 @t1007)) % 1.12/1.37 (define @t1009 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t58 @t62)) % 1.12/1.37 (define @t1010 () (tptp.hBOOL (tptp.hAPP @t541 @t3))) % 1.12/1.37 (define @t1011 () (@list @t58 @t62 @t525)) % 1.12/1.37 (define @t1012 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t173 @t522) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t173 @t184))) % 1.12/1.37 (define @t1013 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t184 @t522)) % 1.12/1.37 (define @t1014 () (@var "V_f" $$unsorted)) % 1.12/1.37 (define @t1015 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t43 @t46)) % 1.12/1.37 (define @t1016 () (@list @t46 @t522 @t43)) % 1.12/1.37 (define @t1017 () (@var "V_t_2" $$unsorted)) % 1.12/1.37 (define @t1018 () (tptp.hAPP @t932 @t526)) % 1.12/1.37 (define @t1019 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t184 @t522)) % 1.12/1.37 (define @t1020 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t522 @t184)) % 1.12/1.37 (define @t1021 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t184 @t522)) % 1.12/1.37 (define @t1022 () (tptp.hAPP (tptp.hAPP @t739 @t522) @t1021)) % 1.12/1.37 (define @t1023 () (tptp.hAPP (tptp.hAPP @t739 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t21 @t14)) @t763)) @t103)) % 1.12/1.37 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t103)) % 1.12/1.37 (define @t1025 () (@var "V_D_2" $$unsorted)) % 1.12/1.37 (define @t1026 () (tptp.class_Rings_Ocomm__ring @t19)) % 1.12/1.37 (define @t1027 () (@var "V_e_2" $$unsorted)) % 1.12/1.37 (define @t1028 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t62 @t58)) % 1.12/1.37 (define @t1029 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t31 @t1028) @t1027) @t57)) % 1.12/1.37 (define @t1030 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t59 @t1027) @t61)) % 1.12/1.37 (define @t1031 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t63 @t1027) @t57)) % 1.12/1.37 (define @t1032 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1031 @t1030)) % 1.12/1.37 (define @t1033 () (@list @t61 @t58 @t57 @t1027 @t62 @t19)) % 1.12/1.37 (define @t1034 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Ominus__class_Ominus @t19 @t58 @t62)) @t1027) @t61)) % 1.12/1.37 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless @t19 @t1031 @t1030)) % 1.12/1.37 (define @t1036 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t46 @t103)) % 1.12/1.37 (define @t1037 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t105)) % 1.12/1.37 (define @t1038 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t159 @t158)) % 1.12/1.37 (define @t1039 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t46)) % 1.12/1.37 (define @t1040 () (tptp.c_Groups_Oabs__class_Oabs @t19 @t1039)) % 1.12/1.37 (define @t1041 () (@var "V_r_2" $$unsorted)) % 1.12/1.37 (define @t1042 () (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1039)) % 1.12/1.37 (define @t1043 () (tptp.c_Divides_Odiv__class_Omod @t19 @t1039 @t105)) % 1.12/1.37 (define @t1044 () (tptp.class_Divides_Oring__div @t19)) % 1.12/1.37 (define @t1045 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t21 @t18) @t184)) % 1.12/1.37 (define @t1046 () (= @t1028 (tptp.c_Groups_Ominus__class_Ominus @t19 @t57 @t61))) % 1.12/1.37 (define @t1047 () (tptp.class_Groups_Oordered__ab__group__add @t19)) % 1.12/1.37 (define @t1048 () (= @t1028 @t76)) % 1.12/1.37 (define @t1049 () (tptp.class_Groups_Ogroup__add @t19)) % 1.12/1.37 (define @t1050 () (tptp.class_Groups_Oab__group__add @t19)) % 1.12/1.37 (define @t1051 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t46 @t43)) % 1.12/1.37 (define @t1052 () (tptp.c_Groups_Oabs__class_Oabs @t19 @t1051)) % 1.12/1.37 (define @t1053 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t88 @t86)) % 1.12/1.37 (define @t1054 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t21 @t18)) % 1.12/1.37 (define @t1055 () (tptp.c_Groups_Ominus__class_Ominus @t469 @t485 @t483)) % 1.12/1.37 (define @t1056 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t202 @t201)) % 1.12/1.37 (define @t1057 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t18 @t46)) % 1.12/1.37 (define @t1058 () (tptp.hAPP @t31 (tptp.c_Groups_Ominus__class_Ominus @t19 @t21 @t43))) % 1.12/1.37 (define @t1059 () (tptp.hAPP @t1058 @t46)) % 1.12/1.37 (define @t1060 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t33 @t47)) % 1.12/1.37 (define @t1061 () (@list @t46 @t43 @t18 @t21 @t19)) % 1.12/1.37 (define @t1062 () (tptp.class_Rings_Oring @t19)) % 1.12/1.37 (define @t1063 () (= @t1031 @t1030)) % 1.12/1.37 (define @t1064 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t91 @t227)) % 1.12/1.37 (define @t1065 () (@var "V_h" $$unsorted)) % 1.12/1.37 (define @t1066 () (@var "V_M_2" $$unsorted)) % 1.12/1.37 (define @t1067 () (tptp.hAPP @t830 @t1066)) % 1.12/1.37 (define @t1068 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1066 @t565)) % 1.12/1.37 (define @t1069 () (@var "T_1" $$unsorted)) % 1.12/1.37 (define @t1070 () (tptp.tc_Polynomial_Opoly @t1069)) % 1.12/1.37 (define @t1071 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1069)) % 1.12/1.37 (define @t1072 () (@list @t1069)) % 1.12/1.37 (define @t1073 () (@var "T_2" $$unsorted)) % 1.12/1.37 (define @t1074 () (tptp.tc_fun @t1073 @t1069)) % 1.12/1.37 (define @t1075 () (@list @t1073 @t1069)) % 1.12/1.37 (define @t1076 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.37 (define @t1077 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (define @t1078 () (tptp.class_Rings_Oidom @t1069)) % 1.12/1.37 (define @t1079 () (tptp.class_Rings_Olinordered__idom @t1069)) % 1.12/1.37 (define @t1080 () (tptp.class_Rings_Ocomm__semiring__0 @t1069)) % 1.12/1.37 (define @t1081 () (tptp.class_Rings_Ocomm__semiring__1 @t1069)) % 1.12/1.37 (define @t1082 () (tptp.class_Groups_Ocomm__monoid__add @t1069)) % 1.12/1.37 (define @t1083 () (tptp.class_Fields_Ofield @t1069)) % 1.12/1.37 (define @t1084 () (tptp.class_Groups_Oab__group__add @t1069)) % 1.12/1.37 (define @t1085 () (tptp.class_Rings_Ocomm__ring__1 @t1069)) % 1.12/1.37 (define @t1086 () (tptp.class_Rings_Ocomm__ring @t1069)) % 1.12/1.37 (define @t1087 () (tptp.hBOOL (tptp.c_fequal @t81 @t129))) % 1.12/1.37 (define @t1088 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_aa____ @t9)) % 1.12/1.37 (define @t1089 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1088)) % 1.12/1.37 (define @t1090 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1089 @t7)) % 1.12/1.37 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t1090)) % 1.12/1.37 (define @t1092 () (= @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t11))) % 1.12/1.37 (define @t1093 () (not @t1076)) % 1.12/1.37 (define @t1094 () (or @t1093 @t1092)) % 1.12/1.37 (define @t1095 () (@list false false)) % 1.12/1.37 (define @t1096 () (not @t1077)) % 1.12/1.37 (define @t1097 () (or @t1096 (= @t1088 @t10))) % 1.12/1.37 (define @t1098 () (forall @t168 (or (not @t50) @t167))) % 1.12/1.37 (define @t1099 () (= @t10 @t1088)) % 1.12/1.37 (define @t1100 () (or @t1096 @t1099)) % 1.12/1.37 (define @t1101 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t1089)) % 1.12/1.37 (define @t1102 () (= @t1090 @t1101)) % 1.12/1.37 (define @t1103 () (or @t1093 @t1102)) % 1.12/1.37 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.12/1.37 (assume @p2 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t12)) % 1.12/1.37 (assume @p3 (forall @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15) (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 @t15 @t14)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t14))))) % 1.12/1.37 (assume @p4 (not (= tptp.v_p @t17))) % 1.12/1.37 (assume @p5 (forall @t26 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t22 @t20))))) % 1.12/1.37 (assume @p6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28 @t13)) % 1.12/1.37 (assume @p7 (forall @t26 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t34 @t30)))) % 1.12/1.37 (assume @p8 (forall @t37 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t21)))) % 1.12/1.37 (assume @p9 (not (= tptp.v_c____ @t38))) % 1.12/1.37 (assume @p10 (forall @t40 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t21) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t18))))) % 1.12/1.37 (assume @p11 (forall @t26 (=> @t41 (= @t34 @t30)))) % 1.12/1.37 (assume @p12 (forall @t48 (=> @t35 (= (tptp.hAPP @t44 (tptp.c_Groups_Oplus__class_Oplus @t19 @t46 @t42)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t47 @t45))))) % 1.12/1.37 (assume @p13 (forall @t51 (=> @t50 (= (tptp.hAPP @t32 (tptp.c_Groups_Oplus__class_Oplus @t19 @t18 @t14)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t33 @t49))))) % 1.12/1.37 (assume @p14 (forall @t56 (=> @t35 (= (tptp.hAPP @t53 @t23) (tptp.c_Groups_Oplus__class_Oplus @t19 @t55 @t54))))) % 1.12/1.37 (assume @p15 (forall @t69 (=> @t68 (= (and (not @t67) (not @t66)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t65 (tptp.hAPP @t59 @t61)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t64 @t60))))))) % 1.12/1.37 (assume @p16 @t70) % 1.12/1.37 (assume @p17 (forall (@list @t73 @t71 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t71 @t73)) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t27 @t73) @t72) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_da____ @t71))))) % 1.12/1.37 (assume @p18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t28 @t74) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z____))) % 1.12/1.37 (assume @p19 (forall @t77 (=> @t25 (= (tptp.c_RealVector_Onorm__class_Onorm @t19 @t76) @t75)))) % 1.12/1.37 (assume @p20 (forall (@list @t78) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t78) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t78)))) % 1.12/1.37 (assume @p21 (forall @t80 (= (tptp.hAPP @t79 @t15) (tptp.hAPP (tptp.hAPP @t29 @t15) @t14)))) % 1.12/1.37 (assume @p22 (forall @t84 (=> @t25 (= (= @t83 @t75) @t82)))) % 1.12/1.37 (assume @p23 (forall @t90 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t89 @t86)) @t85) (tptp.hAPP @t89 (tptp.hAPP @t87 @t85))))) % 1.12/1.37 (assume @p24 (forall @t92 (=> @t25 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t91) @t91)))) % 1.12/1.37 (assume @p25 (forall @t37 (=> @t35 (= (tptp.hAPP @t32 @t76) @t76)))) % 1.12/1.37 (assume @p26 (forall @t92 (=> @t35 @t93))) % 1.12/1.37 (assume @p27 (forall @t92 (=> @t50 @t93))) % 1.12/1.37 (assume @p28 (forall @t95 (=> @t35 (= (tptp.hAPP @t94 @t18) @t76)))) % 1.12/1.37 (assume @p29 (forall (@list @t46 @t19) (=> @t35 (= (tptp.hAPP @t94 @t46) @t76)))) % 1.12/1.37 (assume @p30 (forall @t92 (=> @t50 @t96))) % 1.12/1.37 (assume @p31 (forall @t99 (=> @t68 (= (= @t58 @t98) @t97)))) % 1.12/1.37 (assume @p32 (forall @t92 (=> @t50 @t100))) % 1.12/1.37 (assume @p33 (forall @t92 (=> @t50 @t101))) % 1.12/1.37 (assume @p34 (forall @t102 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t88 @t86)) @t15) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t89 @t15) (tptp.hAPP @t87 @t15))))) % 1.12/1.37 (assume @p35 (forall @t84 (=> @t25 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t75) @t82)))) % 1.12/1.37 (assume @p36 (forall (@list @t103 @t105 @t46 @t43 @t78 @t19) (=> @t68 (=> (not (= @t78 @t76)) (=> (and @t106 (not (= @t105 @t103))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 (tptp.hAPP @t104 @t105)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t46 (tptp.hAPP @t104 @t103))))))))) % 1.12/1.37 (assume @p37 (forall @t26 (=> @t109 (=> (not @t108) @t107)))) % 1.12/1.37 (assume @p38 (forall (@list @t81 @t1 @t2 @t19 @t110) (=> @t113 (=> @t112 (tptp.c_Orderings_Oord__class_Oless__eq @t110 (tptp.hAPP @t2 @t81) (tptp.hAPP @t1 @t81)))))) % 1.12/1.37 (assume @p39 (forall @t116 (=> @t115 (=> @t107 (=> @t114 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t14 @t21)))))) % 1.12/1.37 (assume @p40 (forall @t118 (=> @t115 (=> @t107 (=> @t108 @t117))))) % 1.12/1.37 (assume @p41 (forall @t51 (=> @t36 (=> @t108 (=> @t119 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t14)))))) % 1.12/1.37 (assume @p42 (forall @t26 (=> @t115 (=> @t108 (=> @t107 @t117))))) % 1.12/1.37 (assume @p43 (forall @t123 (=> @t115 (=> @t122 (=> @t121 @t120))))) % 1.12/1.37 (assume @p44 (forall @t127 (=> @t126 (=> @t125 (=> @t121 @t124))))) % 1.12/1.37 (assume @p45 (forall @t127 (=> @t115 (=> @t106 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t105 @t46) @t120))))) % 1.12/1.37 (assume @p46 (forall @t127 (=> @t126 (=> @t106 (=> @t128 @t124))))) % 1.12/1.37 (assume @p47 (forall @t134 (=> @t115 (=> @t133 @t132)))) % 1.12/1.37 (assume @p48 (forall @t26 (=> @t36 (=> @t117 @t108)))) % 1.12/1.37 (assume @p49 (forall @t135 (=> @t115 (= @t130 (and @t131 @t133))))) % 1.12/1.37 (assume @p50 (forall @t26 (=> @t109 (or @t108 @t107)))) % 1.12/1.37 (assume @p51 (forall @t136 (=> @t113 (= @t112 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t110 @t5 @t4)))))) % 1.12/1.37 (assume @p52 (forall @t148 (=> @t50 (= @t147 (tptp.hAPP @t143 (tptp.hAPP @t139 @t137)))))) % 1.12/1.37 (assume @p53 (forall @t148 (=> @t50 (= @t147 (tptp.hAPP @t144 (tptp.hAPP @t146 @t137)))))) % 1.12/1.37 (assume @p54 (forall @t148 (=> @t50 (= @t147 (tptp.hAPP @t142 (tptp.hAPP @t139 @t145)))))) % 1.12/1.37 (assume @p55 (forall @t150 (=> @t50 (= @t149 (tptp.hAPP @t143 @t138))))) % 1.12/1.37 (assume @p56 (forall @t150 (=> @t50 (= @t149 (tptp.hAPP @t142 (tptp.hAPP @t139 @t140)))))) % 1.12/1.37 (assume @p57 (forall @t152 (=> @t50 (= @t151 (tptp.hAPP @t143 @t137))))) % 1.12/1.37 (assume @p58 (forall @t152 (=> @t50 (= @t151 (tptp.hAPP @t144 (tptp.hAPP @t142 @t137)))))) % 1.12/1.37 (assume @p59 (forall @t155 (=> @t50 (= @t47 @t154)))) % 1.12/1.37 (assume @p60 (forall @t160 (=> @t50 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t159 @t158) (tptp.c_Groups_Oplus__class_Oplus @t19 @t157 @t156))))) % 1.12/1.37 (assume @p61 (forall @t127 (=> @t50 (= @t161 (tptp.c_Groups_Oplus__class_Oplus @t19 @t157 @t46))))) % 1.12/1.37 (assume @p62 (forall @t127 (=> @t50 @t163))) % 1.12/1.37 (assume @p63 (forall @t165 (=> @t50 (= @t164 (tptp.c_Groups_Oplus__class_Oplus @t19 @t157 @t103))))) % 1.12/1.37 (assume @p64 (forall @t165 (=> @t50 (= @t164 (tptp.c_Groups_Oplus__class_Oplus @t19 @t105 (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t103)))))) % 1.12/1.37 (assume @p65 @t169) % 1.12/1.37 (assume @p66 (forall @t80 (=> @t172 (=> @t171 @t170)))) % 1.12/1.37 (assume @p67 (forall @t176 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t174 @t175) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t175 @t173) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t174 @t173))))) % 1.12/1.37 (assume @p68 (forall @t80 (or @t172 @t171))) % 1.12/1.37 (assume @p69 (forall @t177 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t15))) % 1.12/1.37 (assume @p70 (forall (@list @t178 @t81 @t129 @t179 @t19) (=> @t68 (= (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t183 @t182) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t181 @t178) (tptp.hAPP @t180 @t129))) (or (= @t179 @t81) (= @t129 @t178)))))) % 1.12/1.37 (assume @p71 (forall (@list @t46 @t184 @t43 @t19) (=> @t50 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t186 (tptp.hAPP @t153 @t184)) (tptp.hAPP @t185 @t184))))) % 1.12/1.37 (assume @p72 (forall @t191 (=> @t35 (= (tptp.hAPP (tptp.hAPP @t31 @t23) @t187) (tptp.c_Groups_Oplus__class_Oplus @t19 @t190 @t189))))) % 1.12/1.37 (assume @p73 (forall @t195 (=> @t35 (= (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 @t192)) @t46) (tptp.c_Groups_Oplus__class_Oplus @t19 @t47 @t194))))) % 1.12/1.37 (assume @p74 (forall @t127 (=> @t50 @t198))) % 1.12/1.37 (assume @p75 (forall (@list @t18 @t21 @t105 @t19) (=> @t25 (=> @t200 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t22 (tptp.hAPP @t199 @t20)) (= @t21 @t76)))))) % 1.12/1.37 (assume @p76 (forall @t155 (=> (tptp.class_Rings_Oordered__ring__abs @t19) (=> (and (or @t209 @t208) (or @t207 @t206)) @t205)))) % 1.12/1.37 (assume @p77 (forall @t26 (=> @t212 (=> @t211 (= (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Oabs__class_Oabs @t19 @t18)) @t21) (tptp.c_Groups_Oabs__class_Oabs @t19 @t210)))))) % 1.12/1.37 (assume @p78 (forall @t135 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t215 @t76) @t214)))) % 1.12/1.37 (assume @p79 (forall @t26 (=> @t219 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t218)))) % 1.12/1.37 (assume @p80 (forall @t155 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t159) @t220)))) % 1.12/1.37 (assume @p81 (forall @t92 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t202)))) % 1.12/1.37 (assume @p82 (forall @t223 (=> @t221 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t222 @t76) @t97)))) % 1.12/1.37 (assume @p83 (forall @t92 (=> @t221 (=> @t209 @t224)))) % 1.12/1.37 (assume @p84 (forall @t135 (=> @t216 (= (= @t215 @t76) @t214)))) % 1.12/1.37 (assume @p85 (forall @t155 (=> @t225 (=> @t208 (=> @t206 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t159 @t76)))))) % 1.12/1.37 (assume @p86 (not (= @t226 @t17))) % 1.12/1.37 (assume @p87 (forall @t155 (=> (and @t231 @t230) @t229))) % 1.12/1.37 (assume @p88 (forall @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t81 @t129)) (and (or @t234 @t233) (or @t232 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t129 @t75)))))) % 1.12/1.37 (assume @p89 (forall @t92 (=> @t236 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t43 @t76) @t76)))) % 1.12/1.37 (assume @p90 (forall @t92 (=> @t237 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t76 @t43) @t76)))) % 1.12/1.37 (assume @p91 (forall @t127 (=> @t237 (= (tptp.hAPP @t44 @t238) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t47 @t105))))) % 1.12/1.37 (assume @p92 (forall @t127 (=> @t237 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t159 @t105) (tptp.c_Groups_Oplus__class_Oplus @t19 @t239 @t238))))) % 1.12/1.37 (assume @p93 (forall @t242 (=> @t230 (=> @t241 @t229)))) % 1.12/1.37 (assume @p94 (forall @t95 (=> @t230 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t76 @t18) @t76)))) % 1.12/1.37 (assume @p95 (forall @t191 (=> @t230 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t23 @t187) (tptp.c_Groups_Oplus__class_Oplus @t19 @t244 @t243))))) % 1.12/1.37 (assume @p96 (forall @t247 (=> @t237 (=> @t246 (=> (= @t197 @t46) (= @t43 @t238)))))) % 1.12/1.37 (assume @p97 (forall @t248 (=> @t237 (=> @t246 (=> (= @t46 @t197) (= @t238 @t43)))))) % 1.12/1.37 (assume @p98 (forall @t254 (=> @t237 (=> @t253 (= @t251 @t249))))) % 1.12/1.37 (assume @p99 (forall @t257 (=> @t237 (=> @t253 (= @t256 @t255))))) % 1.12/1.37 (assume @p100 (forall @t260 (=> @t259 (= (= (tptp.hAPP @t258 @t62) (tptp.hAPP @t258 @t58)) @t67)))) % 1.12/1.37 (assume @p101 (forall @t260 (=> @t259 (= (= (tptp.hAPP (tptp.hAPP @t29 @t62) @t57) (tptp.hAPP (tptp.hAPP @t29 @t58) @t57)) @t67)))) % 1.12/1.37 (assume @p102 (forall (@list @t18 @t21 @t105) (=> @t200 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t261 (tptp.hAPP @t199 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t18))) (= @t21 @t75))))) % 1.12/1.37 (assume @p103 (forall @t37 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t22)))) % 1.12/1.37 (assume @p104 (forall @t235 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t265 (tptp.hAPP @t263 @t129)) @t75) (and @t262 (= @t129 @t75))))) % 1.12/1.37 (assume @p105 (forall @t84 (=> @t266 (= (= @t76 @t81) @t82)))) % 1.12/1.37 (assume @p106 (forall @t127 (=> (tptp.class_Groups_Oab__semigroup__mult @t19) (= (tptp.hAPP (tptp.hAPP @t31 @t47) @t105) (tptp.hAPP @t44 @t196))))) % 1.12/1.37 (assume @p107 (forall @t127 (=> (tptp.class_Groups_Oab__semigroup__add @t19) @t163))) % 1.12/1.37 (assume @p108 (forall @t270 (=> @t269 (= (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t62 @t58) @t268) @t267)))) % 1.12/1.37 (assume @p109 (forall (@list @t57 @t62 @t58 @t19) (=> @t269 (= (= @t98 @t271) @t267)))) % 1.12/1.37 (assume @p110 (forall @t127 (=> @t269 @t272))) % 1.12/1.37 (assume @p111 (forall @t127 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t19) @t272))) % 1.12/1.37 (assume @p112 (forall @t123 (=> @t269 (=> (= @t273 @t166) @t121)))) % 1.12/1.37 (assume @p113 (forall @t92 (=> @t221 (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t202) @t202)))) % 1.12/1.37 (assume @p114 (forall @t92 (=> @t274 @t96))) % 1.12/1.37 (assume @p115 (forall @t92 (=> @t274 @t93))) % 1.12/1.37 (assume @p116 (forall @t277 (=> (tptp.class_Rings_Oring__no__zero__divisors @t19) (= (= @t276 @t76) (or @t97 @t275))))) % 1.12/1.37 (assume @p117 (forall @t155 (=> @t281 (=> @t280 (=> @t241 (not @t278)))))) % 1.12/1.37 (assume @p118 (forall @t155 (=> @t281 (=> @t278 (or @t279 @t240))))) % 1.12/1.37 (assume @p119 (forall @t92 (=> @t282 @t101))) % 1.12/1.37 (assume @p120 (forall @t92 (=> @t283 @t101))) % 1.12/1.37 (assume @p121 (forall @t223 (=> @t285 (= (= @t76 @t284) @t97)))) % 1.12/1.37 (assume @p122 (forall @t92 (=> @t282 @t100))) % 1.12/1.37 (assume @p123 (forall @t92 (=> @t283 @t100))) % 1.12/1.37 (assume @p124 (forall @t289 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t268 @t287) @t286)))) % 1.12/1.37 (assume @p125 (forall @t257 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t271 @t290) @t286)))) % 1.12/1.37 (assume @p126 (forall @t127 (=> @t292 (=> @t125 @t291)))) % 1.12/1.37 (assume @p127 (forall @t127 (=> @t292 (=> @t125 @t294)))) % 1.12/1.37 (assume @p128 (forall @t160 (=> @t292 (=> @t125 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t157 @t156)))))) % 1.12/1.37 (assume @p129 (forall @t296 (=> @t288 (=> @t291 @t125)))) % 1.12/1.37 (assume @p130 (forall @t247 (=> @t288 (=> @t294 @t125)))) % 1.12/1.37 (assume @p131 (forall @t127 (=> (tptp.class_Rings_Ocomm__semiring @t19) @t198))) % 1.12/1.37 (assume @p132 (forall (@list @t105 @t46 @t297 @t43 @t19) (=> (tptp.class_Rings_Osemiring @t19) (= (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t44 @t297) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t153 @t297) @t105)) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t185 @t297) @t105))))) % 1.12/1.37 (assume @p133 (forall @t223 (=> @t221 (= (= @t222 @t76) @t97)))) % 1.12/1.37 (assume @p134 (forall @t77 (=> @t221 (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t76) @t76)))) % 1.12/1.37 (assume @p135 (forall @t92 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t43 @t202)))) % 1.12/1.37 (assume @p136 (forall @t155 (=> @t221 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t202 @t46) @t125)))) % 1.12/1.37 (assume @p137 (forall @t155 (=> @t212 @t205))) % 1.12/1.37 (assume @p138 (forall @t92 (=> @t212 (= (tptp.hAPP @t203 @t202) @t298)))) % 1.12/1.37 (assume @p139 (forall @t155 (=> @t221 (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t220) @t220)))) % 1.12/1.37 (assume @p140 (forall @t92 (=> @t219 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t298)))) % 1.12/1.37 (assume @p141 (forall @t277 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t276) @t303)))) % 1.12/1.37 (assume @p142 (forall @t277 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t276 @t76) @t304)))) % 1.12/1.37 (assume @p143 (forall @t155 (=> @t306 (=> @t209 (=> @t207 @t305))))) % 1.12/1.37 (assume @p144 (forall @t155 (=> @t306 (=> @t209 (=> @t206 @t307))))) % 1.12/1.37 (assume @p145 (forall @t155 (=> @t306 (=> @t209 (=> @t206 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t154 @t76)))))) % 1.12/1.37 (assume @p146 (forall @t155 (=> @t306 (=> @t208 (=> @t207 @t307))))) % 1.12/1.37 (assume @p147 (forall @t155 (=> @t308 (=> @t208 (=> @t206 @t305))))) % 1.12/1.37 (assume @p148 (forall @t127 (=> @t311 (=> @t125 (=> @t310 @t309))))) % 1.12/1.37 (assume @p149 (forall @t127 (=> @t311 @t316))) % 1.12/1.37 (assume @p150 (forall @t127 (=> (tptp.class_Rings_Oordered__comm__semiring @t19) @t316))) % 1.12/1.37 (assume @p151 (forall @t123 (=> @t308 (=> @t122 (=> @t317 @t309))))) % 1.12/1.37 (assume @p152 (forall @t123 (=> @t308 (=> @t122 (=> @t317 @t315))))) % 1.12/1.37 (assume @p153 (forall @t160 (=> @t311 (=> @t125 (=> @t295 (=> @t209 @t319)))))) % 1.12/1.37 (assume @p154 (forall @t160 (=> @t311 (=> @t125 (=> @t295 (=> @t207 @t319)))))) % 1.12/1.37 (assume @p155 (forall @t155 (=> @t308 (=> (or (and @t209 @t207) (and @t208 @t206)) @t305)))) % 1.12/1.37 (assume @p156 (forall @t155 (=> @t306 (=> (or (and @t209 @t206) (and @t208 @t207)) @t307)))) % 1.12/1.37 (assume @p157 (forall @t223 (=> @t285 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t284) @t302)))) % 1.12/1.37 (assume @p158 (forall @t223 (=> @t285 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t284 @t76) @t300)))) % 1.12/1.37 (assume @p159 (forall @t155 (=> @t225 (=> @t209 (=> @t207 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t159)))))) % 1.12/1.37 (assume @p160 (forall @t135 (=> @t225 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t81) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t129) (= (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 @t129) @t76) @t214)))))) % 1.12/1.37 (assume @p161 (forall @t127 (=> @t225 (=> @t209 (=> @t128 @t320))))) % 1.12/1.37 (assume @p162 (forall @t248 (=> @t225 (=> @t310 (=> @t122 @t320))))) % 1.12/1.37 (assume @p163 (forall @t327 (=> @t231 (=> @t326 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t14 @t325) @t324))))) % 1.12/1.37 (assume @p164 (forall @t332 (=> @t331 (=> @t330 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t21 @t329) (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t328 @t18) @t14)))))) % 1.12/1.37 (assume @p165 (forall @t116 (=> @t231 (=> @t326 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t325 @t14) @t324))))) % 1.12/1.37 (assume @p166 (forall @t332 (=> @t331 (=> @t330 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t333 @t18) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t323 @t14)))))) % 1.12/1.37 (assume @p167 (forall @t337 (=> @t331 (=> @t326 (=> @t330 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t325 @t336) (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t49 @t335) @t334))))))) % 1.12/1.37 (assume @p168 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t74)) % 1.12/1.37 (assume @p169 (forall @t242 (=> @t339 (=> @t241 @t338)))) % 1.12/1.37 (assume @p170 (forall (@list @t179 @t81 @t178 @t129 @t19) (=> @t331 (=> @t340 (=> (not (= @t178 @t76)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t81 @t129) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t179 @t178)) (= @t182 @t183))))))) % 1.12/1.37 (assume @p171 (forall @t247 (=> @t231 (=> @t246 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t314 @t313) @t228))))) % 1.12/1.37 (assume @p172 (forall @t247 (=> @t231 (=> @t246 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t197 @t196) @t228))))) % 1.12/1.37 (assume @p173 (forall @t26 (=> @t212 @t345))) % 1.12/1.37 (assume @p174 (forall @t26 (=> @t109 (=> @t343 (=> @t344 @t341))))) % 1.12/1.37 (assume @p175 (forall @t26 (=> @t36 (=> @t342 (not @t341))))) % 1.12/1.37 (assume @p176 (forall @t116 (=> @t115 (=> @t341 @t347)))) % 1.12/1.37 (assume @p177 (forall @t51 (=> @t36 (=> @t342 @t349)))) % 1.12/1.37 (assume @p178 (forall @t123 (=> @t115 (=> @t351 (=> @t121 @t350))))) % 1.12/1.37 (assume @p179 (forall @t127 (=> @t126 (=> @t353 (=> @t121 @t352))))) % 1.12/1.37 (assume @p180 (forall @t127 (=> @t115 (=> @t106 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t105 @t46) @t350))))) % 1.12/1.37 (assume @p181 (forall @t127 (=> @t126 (=> @t106 (=> @t354 @t352))))) % 1.12/1.37 (assume @p182 (forall @t242 (=> @t115 (=> @t351 (not @t353))))) % 1.12/1.37 (assume @p183 (forall @t155 (=> @t36 (=> @t353 (not @t351))))) % 1.12/1.37 (assume @p184 (forall @t26 (=> @t115 (=> @t342 @t355)))) % 1.12/1.37 (assume @p185 (forall @t26 (=> @t115 (=> @t342 @t344)))) % 1.12/1.37 (assume @p186 (forall @t26 (=> @t109 @t345))) % 1.12/1.37 (assume @p187 (forall @t134 (=> @t109 (=> (not @t359) @t358)))) % 1.12/1.37 (assume @p188 (forall @t26 (=> @t109 (or @t342 @t117 @t341)))) % 1.12/1.37 (assume @p189 (forall @t135 (=> @t109 (= @t357 (or @t359 @t130))))) % 1.12/1.37 (assume @p190 (forall @t135 (=> @t109 (= @t360 (or @t356 @t359))))) % 1.12/1.37 (assume @p191 (forall @t37 (=> @t36 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t21))))) % 1.12/1.37 (assume @p192 (forall @t116 (=> @t115 (=> @t107 @t347)))) % 1.12/1.37 (assume @p193 (forall @t51 (=> @t36 (=> @t108 @t349)))) % 1.12/1.37 (assume @p194 (forall @t116 (=> @t115 (=> @t341 (=> @t114 @t346))))) % 1.12/1.37 (assume @p195 (forall @t51 (=> @t36 (=> @t342 (=> @t119 @t348))))) % 1.12/1.37 (assume @p196 (forall @t242 (=> @t115 (=> @t122 (=> @t361 @t351))))) % 1.12/1.37 (assume @p197 (forall @t155 (=> @t115 (=> @t125 (=> @t361 @t353))))) % 1.12/1.37 (assume @p198 (forall @t26 (=> @t115 (=> @t108 (or @t342 @t117))))) % 1.12/1.37 (assume @p199 (forall @t135 (=> @t109 (=> @t131 @t358)))) % 1.12/1.37 (assume @p200 (forall @t26 (=> @t36 (=> @t342 @t108)))) % 1.12/1.37 (assume @p201 (forall @t118 (=> @t109 (=> @t107 @t343)))) % 1.12/1.37 (assume @p202 (forall @t155 (=> @t115 (=> @t361 (=> @t122 @t351))))) % 1.12/1.37 (assume @p203 (forall @t155 (=> @t115 (=> @t361 (=> @t125 @t353))))) % 1.12/1.37 (assume @p204 (forall @t135 (=> @t109 (=> @t357 @t132)))) % 1.12/1.37 (assume @p205 (forall @t118 (=> @t109 (=> (not @t107) @t342)))) % 1.12/1.37 (assume @p206 (forall @t26 (=> @t109 (=> @t343 @t107)))) % 1.12/1.37 (assume @p207 (forall @t135 (=> @t115 (= @t131 (or @t356 @t130))))) % 1.12/1.37 (assume @p208 (forall @t135 (=> @t36 (= @t356 (and @t131 (not @t133)))))) % 1.12/1.37 (assume @p209 (forall @t135 (=> @t115 (= @t356 (and @t131 @t360))))) % 1.12/1.37 (assume @p210 (forall @t26 (=> @t109 (or @t108 @t341)))) % 1.12/1.37 (assume @p211 (forall @t135 (=> @t109 (= (not @t131) @t359)))) % 1.12/1.37 (assume @p212 (forall @t135 (=> @t109 (= @t357 @t133)))) % 1.12/1.37 (assume @p213 (forall @t247 (=> @t288 (=> @t362 @t353)))) % 1.12/1.37 (assume @p214 (forall @t296 (=> @t288 (=> @t363 @t353)))) % 1.12/1.37 (assume @p215 (forall @t160 (=> @t367 (=> @t353 @t366)))) % 1.12/1.37 (assume @p216 (forall @t127 (=> @t367 (=> @t353 @t362)))) % 1.12/1.37 (assume @p217 (forall @t127 (=> @t367 (=> @t353 @t363)))) % 1.12/1.37 (assume @p218 (forall @t257 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t271 @t290) @t368)))) % 1.12/1.37 (assume @p219 (forall @t289 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t268 @t287) @t368)))) % 1.12/1.37 (assume @p220 (forall @t235 (= @t370 (or @t369 @t130)))) % 1.12/1.37 (assume @p221 (forall @t235 (= @t369 (and @t370 @t360)))) % 1.12/1.37 (assume @p222 (forall @t123 (=> @t339 (=> @t351 (=> @t372 @t371))))) % 1.12/1.37 (assume @p223 (forall @t127 (=> @t339 (=> @t353 (=> @t373 @t371))))) % 1.12/1.37 (assume @p224 (forall @t26 (=> @t339 (=> @t376 (=> @t375 @t374))))) % 1.12/1.37 (assume @p225 (forall @t26 (=> @t339 (=> @t376 (=> @t378 @t377))))) % 1.12/1.37 (assume @p226 (forall @t26 (=> @t339 (=> @t379 (=> @t375 @t377))))) % 1.12/1.37 (assume @p227 (forall @t26 (=> @t339 (=> @t379 (=> @t378 @t374))))) % 1.12/1.37 (assume @p228 (forall @t277 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t384 @t76) (or (and @t383 @t382) (and @t381 @t380)))))) % 1.12/1.37 (assume @p229 (forall @t277 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t384) (or (and @t383 @t380) (and @t381 @t382)))))) % 1.12/1.37 (assume @p230 (forall @t26 (=> @t339 (=> @t211 (=> @t378 @t386))))) % 1.12/1.37 (assume @p231 (forall @t26 (=> @t339 (=> @t211 (=> @t375 @t387))))) % 1.12/1.37 (assume @p232 (forall @t391 (=> @t339 (=> @t379 (=> @t108 (=> @t390 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t15 @t14) @t389))))))) % 1.12/1.37 (assume @p233 (forall @t391 (=> @t339 (=> @t211 (=> @t342 (=> @t390 (=> @t392 @t389))))))) % 1.12/1.37 (assume @p234 (forall @t391 (=> @t339 (=> @t211 (=> @t108 (=> @t390 (=> @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t333 @t388)))))))) % 1.12/1.37 (assume @p235 (forall @t26 (=> @t339 (=> @t393 (=> @t378 @t387))))) % 1.12/1.37 (assume @p236 (forall @t26 (=> @t339 (=> @t393 (=> @t375 @t386))))) % 1.12/1.37 (assume @p237 (forall @t270 (=> @t385 (= @t400 (and (=> @t397 @t399) (=> @t398 (and (=> @t394 @t396) (=> @t395 @t381)))))))) % 1.12/1.37 (assume @p238 (forall @t402 (=> @t385 (= @t401 (and (=> @t397 @t396) (=> @t398 (and (=> @t394 @t399) (=> @t395 @t383)))))))) % 1.12/1.37 (assume @p239 (forall @t257 (=> @t339 (=> @t397 (= @t400 @t399))))) % 1.12/1.37 (assume @p240 (forall @t254 (=> @t339 (=> @t397 (= @t401 @t396))))) % 1.12/1.37 (assume @p241 (forall @t116 (=> @t339 (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t322) (tptp.c_Orderings_Oord__class_Oless @t19 @t325 @t14)))))) % 1.12/1.37 (assume @p242 (forall @t327 (=> @t339 (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t322 @t21) (tptp.c_Orderings_Oord__class_Oless @t19 @t14 @t325)))))) % 1.12/1.37 (assume @p243 (forall @t257 (=> @t339 (=> @t394 (= @t400 @t396))))) % 1.12/1.37 (assume @p244 (forall @t254 (=> @t339 (=> @t394 (= @t401 @t399))))) % 1.12/1.37 (assume @p245 (forall @t123 (=> @t339 (=> @t351 (=> @t373 @t406))))) % 1.12/1.37 (assume @p246 (forall @t127 (=> @t339 (=> @t353 (=> @t372 @t406))))) % 1.12/1.37 (assume @p247 (forall @t92 (=> @t219 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t298 @t76))))) % 1.12/1.37 (assume @p248 (forall @t289 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t65 @t60) @t408)))) % 1.12/1.37 (assume @p249 (forall @t257 (=> @t216 (= @t412 @t408)))) % 1.12/1.37 (assume @p250 (forall @t257 (=> @t216 (=> @t397 (= @t412 @t368))))) % 1.12/1.37 (assume @p251 (forall @t155 (=> @t415 (=> @t414 (=> @t413 @t405))))) % 1.12/1.37 (assume @p252 (forall @t155 (=> @t415 (=> @t414 (=> @t417 @t416))))) % 1.12/1.37 (assume @p253 (forall @t155 (=> @t415 (=> @t414 (=> @t417 (tptp.c_Orderings_Oord__class_Oless @t19 @t154 @t76)))))) % 1.12/1.37 (assume @p254 (forall @t155 (=> @t415 (=> @t405 @t418)))) % 1.12/1.37 (assume @p255 (forall @t242 (=> @t415 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t154) @t418)))) % 1.12/1.37 (assume @p256 (forall @t257 (=> @t216 (=> @t394 (= @t412 @t407))))) % 1.12/1.37 (assume @p257 (forall @t155 (=> @t415 (=> @t419 (=> @t413 @t416))))) % 1.12/1.37 (assume @p258 (forall @t155 (=> @t216 (=> @t419 (=> @t417 @t405))))) % 1.12/1.37 (assume @p259 (forall @t127 (=> @t415 (=> @t353 (=> @t373 @t420))))) % 1.12/1.37 (assume @p260 (forall @t127 (=> @t415 @t422))) % 1.12/1.37 (assume @p261 (forall @t127 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t19) @t422))) % 1.12/1.37 (assume @p262 (forall @t123 (=> @t216 (=> @t351 (=> @t372 @t420))))) % 1.12/1.37 (assume @p263 (forall @t123 (=> @t216 (=> @t351 (=> @t372 @t421))))) % 1.12/1.37 (assume @p264 (forall @t223 (=> @t285 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t284) @t383)))) % 1.12/1.37 (assume @p265 (forall @t223 (=> @t285 @t423))) % 1.12/1.37 (assume @p266 (forall @t155 (=> @t225 (=> @t414 @t425)))) % 1.12/1.37 (assume @p267 (forall @t127 (=> @t428 (=> @t414 @t427)))) % 1.12/1.37 (assume @p268 (forall @t155 (=> @t225 (=> @t419 @t430)))) % 1.12/1.37 (assume @p269 (forall @t160 (=> @t367 (=> @t125 @t366)))) % 1.12/1.37 (assume @p270 (forall @t160 (=> @t367 (=> @t353 (=> @t295 @t364))))) % 1.12/1.37 (assume @p271 (forall @t118 (=> @t385 (=> @t378 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t21) @t18) (tptp.c_Groups_Oabs__class_Oabs @t19 @t325)))))) % 1.12/1.37 (assume @p272 (forall @t92 (=> @t221 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t202 @t76))))) % 1.12/1.37 (assume @p273 (forall @t223 (=> @t221 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t222) @t431)))) % 1.12/1.37 (assume @p274 (forall @t92 (=> @t221 (=> @t414 @t224)))) % 1.12/1.37 (assume @p275 (forall (@list @t103 @t46 @t105 @t43 @t19) (=> @t212 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t202 @t105) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t201 @t103) (tptp.c_Orderings_Oord__class_Oless @t19 @t204 @t432)))))) % 1.12/1.37 (assume @p276 (forall @t436 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t434 @t433) @t369)))) % 1.12/1.37 (assume @p277 (forall @t439 (=> @t438 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t437))))) % 1.12/1.37 (assume @p278 (forall (@list @t18 @t21 @t14) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t14) (=> @t440 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t79 @t21) (tptp.hAPP @t79 @t18)))))) % 1.12/1.37 (assume @p279 (forall @t37 (=> @t25 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t22 @t75))))) % 1.12/1.37 (assume @p280 (forall @t127 (=> @t385 (=> @t125 (=> @t317 @t441))))) % 1.12/1.37 (assume @p281 (forall @t123 (=> @t339 (=> @t122 (=> @t310 @t441))))) % 1.12/1.37 (assume @p282 (forall @t254 (=> @t339 (=> @t394 (= @t443 @t442))))) % 1.12/1.37 (assume @p283 (forall @t257 (=> @t339 (=> @t394 (= @t445 @t444))))) % 1.12/1.37 (assume @p284 (forall @t327 (=> @t339 (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t322 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t14 @t325)))))) % 1.12/1.37 (assume @p285 (forall @t116 (=> @t339 (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t322) (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t325 @t14)))))) % 1.12/1.37 (assume @p286 (forall @t254 (=> @t339 (=> @t397 (= @t443 @t444))))) % 1.12/1.37 (assume @p287 (forall @t257 (=> @t339 (=> @t397 (= @t445 @t442))))) % 1.12/1.37 (assume @p288 (forall @t402 (=> @t385 (= @t443 (and (=> @t397 @t444) (=> @t398 (and (=> @t394 @t442) (=> @t395 @t302)))))))) % 1.12/1.37 (assume @p289 (forall @t270 (=> @t385 (= @t445 (and (=> @t397 @t442) (=> @t398 (and (=> @t394 @t444) (=> @t395 @t300)))))))) % 1.12/1.37 (assume @p290 (forall @t247 (=> @t415 (=> @t315 @t446)))) % 1.12/1.37 (assume @p291 (forall @t296 (=> @t415 (=> @t309 @t446)))) % 1.12/1.37 (assume @p292 (forall @t247 (=> @t415 @t448))) % 1.12/1.37 (assume @p293 (forall @t247 (=> @t449 @t448))) % 1.12/1.37 (assume @p294 (forall @t296 (=> @t415 @t450))) % 1.12/1.37 (assume @p295 (forall @t296 (=> @t449 @t450))) % 1.12/1.37 (assume @p296 (forall @t160 (=> @t415 (=> @t125 (=> @t365 (=> @t414 @t452)))))) % 1.12/1.37 (assume @p297 (forall @t160 (=> @t415 (=> @t353 (=> @t295 (=> @t209 (=> @t373 @t451))))))) % 1.12/1.37 (assume @p298 (forall @t160 (=> @t415 (=> @t353 (=> @t365 (=> @t209 @t452)))))) % 1.12/1.37 (assume @p299 (forall @t160 (=> @t415 (=> @t353 (=> @t365 (=> @t413 @t452)))))) % 1.12/1.37 (assume @p300 (forall @t257 (=> @t216 (=> @t394 (= @t453 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t58 @t62)))))) % 1.12/1.37 (assume @p301 (forall @t257 (=> @t216 (=> @t397 (= @t453 @t286))))) % 1.12/1.37 (assume @p302 (forall @t155 (=> @t225 (=> @t208 @t430)))) % 1.12/1.37 (assume @p303 (forall @t155 (=> @t225 (=> @t419 (=> @t206 @t429))))) % 1.12/1.37 (assume @p304 (forall @t127 (=> @t225 (=> @t209 @t427)))) % 1.12/1.37 (assume @p305 (forall @t127 (=> @t225 (=> @t414 (=> @t128 @t426))))) % 1.12/1.37 (assume @p306 (forall @t155 (=> @t225 (=> @t209 @t425)))) % 1.12/1.37 (assume @p307 (forall @t155 (=> @t225 (=> @t414 (=> @t207 @t424))))) % 1.12/1.37 (assume @p308 (forall @t135 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t215) (or @t454 @t340))))) % 1.12/1.37 (assume @p309 (forall @t26 (=> @t219 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t218 @t76))))) % 1.12/1.37 (assume @p310 (forall @t84 (=> @t25 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t83) @t454)))) % 1.12/1.37 (assume @p311 (forall @t459 (=> @t35 (=> @t458 (=> @t457 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t34 (tptp.hAPP @t456 @t455))))))) % 1.12/1.37 (assume @p312 (forall @t436 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t434 @t433) @t370)))) % 1.12/1.37 (assume @p313 (forall @t436 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t460 @t81) (tptp.hAPP @t460 @t129)) @t370)))) % 1.12/1.37 (assume @p314 (forall @t459 (=> @t25 (=> @t458 (=> @t457 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t78 @t455))))))) % 1.12/1.37 (assume @p315 (forall (@list @t15 @t14 @t18 @t21 @t19) (=> @t231 (= (tptp.hAPP (tptp.hAPP @t31 @t325) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t14 @t15)) (tptp.c_Rings_Oinverse__class_Odivide @t19 @t49 (tptp.hAPP @t188 @t15)))))) % 1.12/1.37 (assume @p316 (forall @t155 (=> @t385 @t338))) % 1.12/1.37 (assume @p317 (forall @t277 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t384) @t303)))) % 1.12/1.37 (assume @p318 (forall @t277 (=> @t385 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t384 @t76) @t304)))) % 1.12/1.37 (assume @p319 (forall @t127 (=> @t385 (=> @t125 (=> @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t239 @t238)))))) % 1.12/1.37 (assume @p320 (forall @t127 (=> @t385 (=> @t125 (=> @t317 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t238 @t239)))))) % 1.12/1.37 (assume @p321 (forall @t270 (=> @t231 (= @t256 (and (=> @t253 @t255) @t461))))) % 1.12/1.37 (assume @p322 (forall @t402 (=> @t231 (= @t251 (and (=> @t253 @t249) @t461))))) % 1.12/1.37 (assume @p323 (=> @t468 (exists @t467 (forall @t466 (=> @t465 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_da____ (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 tptp.v_aa____ @t226)) @t462)))))))) % 1.12/1.37 (assume @p324 (forall @t77 (=> @t266 (= (tptp.c_Polynomial_OpCons @t19 @t76 @t470) @t470)))) % 1.12/1.37 (assume @p325 (forall @t474 (=> @t266 (= (= @t473 @t470) (and @t97 @t472))))) % 1.12/1.37 (assume @p326 (forall @t475 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t265)) @t262))) % 1.12/1.37 (assume @p327 (forall @t223 (=> @t212 @t423))) % 1.12/1.37 (assume @p328 (forall @t95 (=> @t230 (exists @t480 (and @t479 @t478))))) % 1.12/1.37 (assume @p329 (forall @t95 (=> @t35 (exists @t480 (and @t479 @t481))))) % 1.12/1.37 (assume @p330 (forall @t37 (=> @t35 (exists @t480 (and @t479 @t482))))) % 1.12/1.37 (assume @p331 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t490) @t21) (tptp.hAPP (tptp.hAPP @t31 @t487) @t484))))) % 1.12/1.37 (assume @p332 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t493) @t21) (tptp.c_Groups_Oplus__class_Oplus @t19 @t487 @t484))))) % 1.12/1.37 (assume @p333 (forall (@list @t494 @t471 @t19) (=> @t498 (= (= @t496 (tptp.c_Polynomial_Opoly @t19 @t494)) @t495)))) % 1.12/1.37 (assume @p334 (forall @t500 (=> @t498 (= (= @t496 @t499) @t472)))) % 1.12/1.37 (assume @p335 (forall @t136 (=> @t113 (= (tptp.c_Orderings_Oord__class_Oless @t111 @t2 @t1) (and @t112 (not (tptp.c_Orderings_Oord__class_Oless__eq @t111 @t1 @t2))))))) % 1.12/1.37 (assume @p336 (forall @t37 (=> @t491 (= (tptp.hAPP @t499 @t21) @t76)))) % 1.12/1.37 (assume @p337 (forall (@list @t21 @t485 @t43 @t19) (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t501) @t21) (tptp.c_Groups_Oplus__class_Oplus @t19 @t43 (tptp.hAPP @t32 @t487)))))) % 1.12/1.37 (assume @p338 (forall @t502 (=> @t283 (= (tptp.c_Groups_Oplus__class_Oplus @t469 @t485 @t470) @t485)))) % 1.12/1.37 (assume @p339 (forall @t502 (=> @t491 (= (tptp.hAPP @t489 @t470) @t470)))) % 1.12/1.37 (assume @p340 (forall @t503 (=> @t283 (= (tptp.c_Groups_Oplus__class_Oplus @t469 @t470 @t483) @t483)))) % 1.12/1.37 (assume @p341 (forall @t503 (=> @t491 (= (tptp.hAPP (tptp.hAPP @t488 @t470) @t483) @t470)))) % 1.12/1.37 (assume @p342 (forall (@list @t494 @t58 @t471 @t62 @t19) (=> @t266 (= (= @t473 (tptp.c_Polynomial_OpCons @t19 @t58 @t494)) (and @t67 @t495))))) % 1.12/1.37 (assume @p343 (forall @t223 (=> @t285 (= (= @t284 @t76) @t97)))) % 1.12/1.37 (assume @p344 (forall @t505 (=> @t283 (= (tptp.c_Groups_Oplus__class_Oplus @t469 @t501 @t504) (tptp.c_Polynomial_OpCons @t19 @t159 @t493))))) % 1.12/1.37 (assume @p345 (forall (@list @t43 @t78) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t456 @t43) (tptp.hAPP @t456 @t78)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t43 @t78)))) % 1.12/1.37 (assume @p346 (forall (@list @t43 @t103) (=> @t468 (exists @t467 (forall @t466 (=> @t465 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t103 (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 @t43 tptp.v_cs____)) @t462))))))))) % 1.12/1.37 (assume @p347 (forall @t77 (=> @t35 (exists @t480 (and @t479 @t508))))) % 1.12/1.37 (assume @p348 (forall @t474 (=> @t212 (= (tptp.c_Polynomial_Opos__poly @t19 @t473) (or (tptp.c_Polynomial_Opos__poly @t19 @t471) (and @t472 @t383)))))) % 1.12/1.37 (assume @p349 (forall (@list @t485 @t78) (exists (@list @t509) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t509) (forall @t466 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t463 @t78) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t485) @t462)) @t509))))))) % 1.12/1.37 (assume @p350 (forall (@list @t62 @t471 @t19) (=> @t497 (= (= (tptp.hAPP @t496 @t62) @t76) (or @t472 (not (= (tptp.c_Polynomial_Oorder @t19 @t62 @t471) @t510))))))) % 1.12/1.37 (assume @p351 (forall (@list @t471 @t62 @t19 @t178 @t2 @t110) (=> @t516 (=> @t515 (= @t513 (tptp.hAPP @t512 @t511)))))) % 1.12/1.37 (assume @p352 (forall (@list @t78 @t483 @t485 @t19) (=> @t491 (= (tptp.hAPP (tptp.hAPP @t488 @t493) @t78) (tptp.c_Groups_Oplus__class_Oplus @t469 (tptp.hAPP @t489 @t78) (tptp.hAPP @t517 @t78)))))) % 1.12/1.37 (assume @p353 (forall @t520 (=> @t212 (=> @t519 (=> @t518 (tptp.c_Polynomial_Opos__poly @t19 @t493)))))) % 1.12/1.37 (assume @p354 (forall @t520 (=> @t212 (=> @t519 (=> @t518 (tptp.c_Polynomial_Opos__poly @t19 @t490)))))) % 1.12/1.37 (assume @p355 (forall @t77 (=> @t212 (not (tptp.c_Polynomial_Opos__poly @t19 @t470))))) % 1.12/1.37 (assume @p356 (forall (@list @t19 @t178 @t2 @t110) (=> @t516 (=> @t515 (= (tptp.c_Polynomial_Opoly__rec @t19 @t110 @t178 @t2 @t514) @t178))))) % 1.12/1.37 (assume @p357 (forall (@list @t471 @t62 @t2 @t178 @t19 @t110) (=> @t516 (= @t513 (tptp.hAPP @t512 (tptp.c_If @t19 (tptp.c_fequal @t471 @t514) @t178 @t511)))))) % 1.12/1.37 (assume @p358 (forall (@list @t483 @t485 @t43 @t19) (=> @t491 (= (tptp.c_Polynomial_Opcompose @t19 @t501 @t483) (tptp.c_Groups_Oplus__class_Oplus @t469 (tptp.c_Polynomial_OpCons @t19 @t43 @t470) (tptp.hAPP @t517 @t521)))))) % 1.12/1.37 (assume @p359 (forall @t500 (=> @t266 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t19 @t471) @t510) @t472)))) % 1.12/1.37 (assume @p360 (forall @t523 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t510)))) % 1.12/1.37 (assume @p361 (forall @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510 @t522))) % 1.12/1.37 (assume @p362 (forall @t95 (=> @t230 (exists @t480 (and @t524 @t478))))) % 1.12/1.37 (assume @p363 (forall @t531 (= @t530 (and @t529 @t528)))) % 1.12/1.37 (assume @p364 (forall @t531 (= @t529 (or @t530 @t527)))) % 1.12/1.37 (assume @p365 (forall @t534 (=> @t533 @t532))) % 1.12/1.37 (assume @p366 (forall @t534 (=> @t532 (=> @t536 @t533)))) % 1.12/1.37 (assume @p367 (forall @t534 (=> (or @t533 @t535) @t532))) % 1.12/1.37 (assume @p368 (forall @t523 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t522)))) % 1.12/1.37 (assume @p369 (forall @t531 (= @t528 (or @t530 @t537)))) % 1.12/1.37 (assume @p370 (forall @t439 (=> @t344 (=> (not @t538) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t18 @t21))))) % 1.12/1.37 (assume @p371 (forall @t539 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t184) @t536))) % 1.12/1.37 (assume @p372 (forall (@list @t540 @t455) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t455 @t540) (not (= @t455 @t540))))) % 1.12/1.37 (assume @p373 (forall (@list @t541 @t525 @t526) (=> (=> @t530 @t543) (=> (=> @t527 @t543) (=> (=> @t537 @t543) @t543))))) % 1.12/1.37 (assume @p374 (forall @t176 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t544 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t173)))) % 1.12/1.37 (assume @p375 (forall (@list @t522 @t184 @t545 @t173) (=> @t546 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t545) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t173 @t522)) @t533)))) % 1.12/1.37 (assume @p376 (forall @t550 (=> @t549 (=> @t546 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t548 @t547))))) % 1.12/1.37 (assume @p377 (forall @t176 (=> @t549 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t548 @t551)))) % 1.12/1.37 (assume @p378 (forall @t553 (=> @t549 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t552)))) % 1.12/1.37 (assume @p379 (forall @t553 (=> @t549 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t554)))) % 1.12/1.37 (assume @p380 (forall @t558 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t557 @t556) @t530))) % 1.12/1.37 (assume @p381 (forall (@list @t174 @t175) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t175 @t174) @t174)))) % 1.12/1.37 (assume @p382 (forall (@list @t175 @t174) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t544 @t174)))) % 1.12/1.37 (assume @p383 (forall @t562 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t561))) % 1.12/1.37 (assume @p384 (forall @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522 @t563))) % 1.12/1.37 (assume @p385 (forall @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522 @t564))) % 1.12/1.37 (assume @p386 (forall @t562 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 (tptp.hAPP @t560 @t561)))) % 1.12/1.37 (assume @p387 (forall @t568 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t555 @t566) (exists @t567 (= @t566 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t555 @t565)))))) % 1.12/1.37 (assume @p388 (forall @t531 (= @t529 (exists @t570 (= @t525 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t526 @t569)))))) % 1.12/1.37 (assume @p389 (forall @t558 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t557 @t556) @t529))) % 1.12/1.37 (assume @p390 (forall @t553 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t554)))) % 1.12/1.37 (assume @p391 (forall @t553 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t552)))) % 1.12/1.37 (assume @p392 (forall @t176 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t548 @t551)))) % 1.12/1.37 (assume @p393 (forall @t176 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t575 @t573)))) % 1.12/1.37 (assume @p394 (forall @t176 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t578 @t577)))) % 1.12/1.37 (assume @p395 (forall @t550 (=> @t571 (=> @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t548 @t547))))) % 1.12/1.37 (assume @p396 (forall @t550 (=> @t571 (=> @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t575 (tptp.hAPP @t572 @t545)))))) % 1.12/1.37 (assume @p397 (forall @t582 (=> @t581 @t580))) % 1.12/1.37 (assume @p398 (forall @t582 (=> @t581 @t532))) % 1.12/1.37 (assume @p399 (forall @t582 (=> @t581 (not (=> @t532 (not @t580)))))) % 1.12/1.37 (assume @p400 (forall @t534 (=> @t532 (=> @t583 @t535)))) % 1.12/1.37 (assume @p401 (forall @t176 (=> @t571 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t175 @t173) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t173))))) % 1.12/1.37 (assume @p402 (forall @t534 (=> @t535 @t532))) % 1.12/1.37 (assume @p403 (forall @t534 (or @t532 @t583))) % 1.12/1.37 (assume @p404 (forall @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522 @t522))) % 1.12/1.37 (assume @p405 (forall @t503 (=> @t491 (= (tptp.c_Polynomial_Opcompose @t19 @t470 @t483) @t470)))) % 1.12/1.37 (assume @p406 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t521) @t21) (tptp.hAPP @t486 @t484))))) % 1.12/1.37 (assume @p407 (forall @t523 (= (tptp.hAPP (tptp.hAPP @t559 @t510) @t522) @t510))) % 1.12/1.37 (assume @p408 (forall @t523 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t510 @t522) @t522))) % 1.12/1.37 (assume @p409 (forall @t562 (= (tptp.hAPP @t560 @t510) @t510))) % 1.12/1.37 (assume @p410 (forall @t562 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t510) @t184))) % 1.12/1.37 (assume @p411 (forall @t585 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t510) @t584))) % 1.12/1.37 (assume @p412 (forall @t531 (= (= @t587 @t510) (and @t586 @t584)))) % 1.12/1.37 (assume @p413 (forall @t531 (= (= @t589 @t510) (or @t586 @t584)))) % 1.12/1.37 (assume @p414 (forall @t558 (= @t595 @t591))) % 1.12/1.37 (assume @p415 (forall @t599 (= (= @t598 @t597) @t591))) % 1.12/1.37 (assume @p416 (forall @t534 (=> (= @t563 @t184) @t600))) % 1.12/1.37 (assume @p417 (forall @t523 (=> @t602 @t601))) % 1.12/1.37 (assume @p418 (forall @t176 (=> @t549 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t578 @t577))))) % 1.12/1.37 (assume @p419 (forall @t176 (=> @t549 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t575 @t573))))) % 1.12/1.37 (assume @p420 (forall @t534 (=> @t533 @t602))) % 1.12/1.37 (assume @p421 (forall @t599 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t598 @t597) @t605))) % 1.12/1.37 (assume @p422 (forall @t558 (= @t606 @t605))) % 1.12/1.37 (assume @p423 (forall @t599 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t598 @t597) @t607))) % 1.12/1.37 (assume @p424 (forall @t558 (= @t608 @t607))) % 1.12/1.37 (assume @p425 (forall @t531 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t589) (and @t610 @t609)))) % 1.12/1.37 (assume @p426 (forall @t531 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t587) (or @t610 @t609)))) % 1.12/1.37 (assume @p427 (forall @t585 (= @t611 @t609))) % 1.12/1.37 (assume @p428 (forall @t558 (=> @t604 (= @t606 @t529)))) % 1.12/1.37 (assume @p429 (forall @t439 (=> @t538 @t612))) % 1.12/1.37 (assume @p430 (forall @t558 (=> @t604 (= @t608 @t530)))) % 1.12/1.37 (assume @p431 (forall @t558 (=> @t604 (= @t595 @t527)))) % 1.12/1.37 (assume @p432 (forall @t77 (=> @t35 (exists @t480 (and @t524 @t508))))) % 1.12/1.37 (assume @p433 (forall @t599 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t526 @t555) @t613) @t527))) % 1.12/1.37 (assume @p434 (forall @t558 (= (= @t557 @t556) @t527))) % 1.12/1.37 (assume @p435 (forall @t617 (= (tptp.hAPP (tptp.hAPP @t559 @t563) @t173) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t616 @t615)))) % 1.12/1.37 (assume @p436 (forall @t617 (= (tptp.hAPP (tptp.hAPP @t559 @t618) @t173) (tptp.hAPP @t560 @t615)))) % 1.12/1.37 (assume @p437 (forall @t617 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t563 @t173) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t522 @t173))))) % 1.12/1.37 (assume @p438 (forall @t621 (= (tptp.hAPP @t576 @t563) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t620 @t619)))) % 1.12/1.37 (assume @p439 (forall @t40 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t622) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t18 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t14))))) % 1.12/1.37 (assume @p440 (forall @t534 (= @t618 @t623))) % 1.12/1.37 (assume @p441 (forall @t534 (= @t563 @t564))) % 1.12/1.37 (assume @p442 (forall (@list @t173 @t175 @t624 @t174) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t574 @t624) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t572 @t624) @t173)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t559 @t544) @t624) @t173)))) % 1.12/1.37 (assume @p443 (forall @t558 (= @t595 (or @t590 @t527)))) % 1.12/1.37 (assume @p444 (forall @t40 (=> @t538 @t625))) % 1.12/1.37 (assume @p445 (forall @t626 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t14) @t625))) % 1.12/1.37 (assume @p446 (forall @t626 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t14) @t627))) % 1.12/1.37 (assume @p447 (forall @t40 (=> @t612 @t627))) % 1.12/1.37 (assume @p448 (forall @t95 (=> @t35 (exists @t480 (and @t524 @t481))))) % 1.12/1.37 (assume @p449 (forall @t37 (=> @t35 (exists @t480 (and @t524 @t482))))) % 1.12/1.37 (assume @p450 (forall @t95 (=> @t230 (exists @t480 @t478)))) % 1.12/1.37 (assume @p451 (forall @t95 (=> @t35 (exists @t480 @t481)))) % 1.12/1.37 (assume @p452 (forall @t77 (=> @t35 (exists @t480 @t508)))) % 1.12/1.37 (assume @p453 (forall @t37 (=> @t35 (exists @t480 @t482)))) % 1.12/1.37 (assume @p454 (forall @t634 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t19) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t43) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t18 @t43) (=> @t633 (=> @t632 (=> @t631 (tptp.c_Orderings_Oord__class_Oless @t19 @t629 @t43))))))))) % 1.12/1.37 (assume @p455 (forall @t26 (=> @t339 (=> (forall (@list @t635) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t635) (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 (tptp.c_Groups_Oplus__class_Oplus @t19 @t18 @t635)))) @t108)))) % 1.12/1.37 (assume @p456 (forall @t84 (=> (tptp.class_Groups_Oone @t19) (= (= @t630 @t81) (= @t81 @t630))))) % 1.12/1.37 (assume @p457 (forall @t77 (=> @t637 (= (tptp.c_RealVector_Onorm__class_Onorm @t19 @t630) @t636)))) % 1.12/1.37 (assume @p458 (forall @t77 (=> @t50 (= @t638 (tptp.c_Polynomial_OpCons @t19 @t630 @t470))))) % 1.12/1.37 (assume @p459 (forall @t37 (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t638) @t21) @t630)))) % 1.12/1.37 (assume @p460 (forall @t639 (= (tptp.hAPP (tptp.hAPP @t29 @t636) @t14) @t14))) % 1.12/1.37 (assume @p461 (not (= @t75 @t636))) % 1.12/1.37 (assume @p462 (forall @t77 (=> @t212 (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t630) @t630)))) % 1.12/1.37 (assume @p463 (forall @t92 (=> @t237 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t43 @t630) @t43)))) % 1.12/1.37 (assume @p464 (forall @t92 (=> @t641 @t640))) % 1.12/1.37 (assume @p465 (forall @t92 (=> @t642 @t640))) % 1.12/1.37 (assume @p466 (forall @t92 (=> @t641 @t643))) % 1.12/1.37 (assume @p467 (forall @t92 (=> @t642 @t643))) % 1.12/1.37 (assume @p468 (forall @t92 (=> @t50 @t640))) % 1.12/1.37 (assume @p469 (forall @t92 (=> @t50 @t643))) % 1.12/1.37 (assume @p470 (forall @t77 (=> @t644 (not (= @t76 @t630))))) % 1.12/1.37 (assume @p471 (forall @t77 (=> @t644 (not (= @t630 @t76))))) % 1.12/1.37 (assume @p472 (forall @t523 (= (tptp.hAPP (tptp.hAPP @t559 @t645) @t522) @t522))) % 1.12/1.37 (assume @p473 (forall @t531 (= (= @t645 @t589) @t648))) % 1.12/1.37 (assume @p474 (forall @t523 (= (tptp.hAPP @t614 @t645) @t522))) % 1.12/1.37 (assume @p475 (forall @t531 (= (= @t589 @t645) @t648))) % 1.12/1.37 (assume @p476 (forall @t77 (=> @t428 (not (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t630 @t76))))) % 1.12/1.37 (assume @p477 (forall @t77 (=> @t428 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t630)))) % 1.12/1.37 (assume @p478 (forall @t77 (=> @t428 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t76))))) % 1.12/1.37 (assume @p479 (forall @t77 (=> @t428 (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t630)))) % 1.12/1.37 (assume @p480 (forall (@list @t522 @t184 @t19) (=> @t428 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t184) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t522) (tptp.c_Orderings_Oord__class_Oless @t19 @t630 (tptp.hAPP (tptp.hAPP @t31 @t184) @t522))))))) % 1.12/1.37 (assume @p481 (forall @t92 (=> @t428 (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t649)))) % 1.12/1.37 (assume @p482 (forall (@list @t184 @t43 @t19) (=> @t50 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t186 @t184) @t650)))) % 1.12/1.37 (assume @p483 (forall (@list @t43 @t184 @t19) (=> @t50 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t184 @t186) @t650)))) % 1.12/1.37 (assume @p484 (forall (@list @t184 @t19) (=> @t50 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t184 @t184) (tptp.hAPP (tptp.hAPP @t31 @t651) @t184))))) % 1.12/1.37 (assume @p485 (forall @t99 (=> @t237 (=> (not @t275) (= (= @t384 @t630) @t67))))) % 1.12/1.37 (assume @p486 (forall @t92 (=> @t237 @t653))) % 1.12/1.37 (assume @p487 (forall @t92 (=> @t236 (and (=> @t279 (= @t652 @t76)) @t653)))) % 1.12/1.37 (assume @p488 (forall @t534 (=> (= @t184 @t618) (or (= @t522 @t645) (= @t184 @t510))))) % 1.12/1.37 (assume @p489 (forall @t26 (=> @t212 (=> @t211 (=> @t655 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t210 @t21))))))) % 1.12/1.37 (assume @p490 (forall @t26 (=> @t212 (=> @t211 (=> @t655 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t33 @t21))))))) % 1.12/1.37 (assume @p491 (forall @t77 (=> @t428 (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t651)))) % 1.12/1.37 (assume @p492 (forall @t155 (=> @t339 (=> @t353 (tptp.c_Orderings_Oord__class_Oless @t19 @t656 @t46))))) % 1.12/1.37 (assume @p493 (forall @t155 (=> @t339 (=> @t353 (tptp.c_Orderings_Oord__class_Oless @t19 @t43 @t656))))) % 1.12/1.37 (assume @p494 (forall @t657 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t261 @t636) @t21)))) % 1.12/1.37 (assume @p495 (forall @t634 (=> (tptp.class_Rings_Olinordered__semiring__1 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t18 @t43) (=> @t633 (=> @t632 (=> @t631 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t629 @t43))))))))) % 1.12/1.37 (assume @p496 (forall @t657 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t636 @t261)))) % 1.12/1.37 (assume @p497 (forall @t26 (=> @t385 (=> (forall @t466 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t462) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t462 @t630) (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.hAPP (tptp.hAPP @t31 @t462) @t21) @t18)))) @t108)))) % 1.12/1.37 (assume @p498 (forall (@list @t525 @t541) (=> (not @t663) (=> @t662 (exists @t570 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t569 @t525) (forall @t661 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t658 @t569) (not @t660))) (tptp.hBOOL (tptp.hAPP @t541 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t569 @t645))))))))) % 1.12/1.37 (assume @p499 (forall @t668 (=> @t667 (=> @t601 (=> @t438 @t666))))) % 1.12/1.37 (assume @p500 (forall @t673 (=> @t601 (=> @t672 (=> @t671 @t670))))) % 1.12/1.37 (assume @p501 (forall @t523 (= (tptp.c_NthRoot_Oroot @t522 @t75) @t75))) % 1.12/1.37 (assume @p502 (forall @t676 (=> @t609 (= (= @t675 @t674) @t130)))) % 1.12/1.37 (assume @p503 (forall @t668 (=> @t667 (=> @t601 (= @t665 (tptp.c_NthRoot_Oroot @t522 (tptp.c_NthRoot_Oroot @t184 @t21))))))) % 1.12/1.37 (assume @p504 (forall @t677 (=> @t609 (= (= @t675 @t636) (= @t81 @t636))))) % 1.12/1.37 (assume @p505 (forall @t523 (=> @t601 (= (tptp.c_NthRoot_Oroot @t522 @t636) @t636)))) % 1.12/1.37 (assume @p506 (forall @t676 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t675 @t674) @t370)))) % 1.12/1.37 (assume @p507 (forall @t673 (=> @t601 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t664 @t669))))) % 1.12/1.37 (assume @p508 (forall @t678 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t636 @t674) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t636 @t129))))) % 1.12/1.37 (assume @p509 (forall @t677 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t675 @t636) @t679)))) % 1.12/1.37 (assume @p510 (forall @t684 (=> @t601 (=> @t683 (=> @t682 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t681 @t664)))))) % 1.12/1.37 (assume @p511 (forall @t677 (=> @t609 (= (= @t675 @t75) @t262)))) % 1.12/1.37 (assume @p512 (forall @t676 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t675 @t674) @t369)))) % 1.12/1.37 (assume @p513 (forall @t673 (=> @t601 @t685))) % 1.12/1.37 (assume @p514 (forall @t678 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t636 @t674) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t636 @t129))))) % 1.12/1.37 (assume @p515 (forall @t677 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t675 @t636) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t636))))) % 1.12/1.37 (assume @p516 (forall @t684 (=> @t601 (=> @t683 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t636 @t21) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t681 @t664)))))) % 1.12/1.37 (assume @p517 (forall @t673 (=> @t601 @t670))) % 1.12/1.37 (assume @p518 (forall @t668 (=> @t667 (=> @t601 @t666)))) % 1.12/1.37 (assume @p519 (forall @t673 (=> @t601 (= (tptp.c_NthRoot_Oroot @t522 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t21 @t18)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t664 @t669))))) % 1.12/1.37 (assume @p520 (forall @t686 (=> @t601 (= (tptp.c_NthRoot_Oroot @t522 @t261) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t664))))) % 1.12/1.37 (assume @p521 (forall @t686 (=> @t601 (=> @t672 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t664))))) % 1.12/1.37 (assume @p522 (forall @t677 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t675 @t75) @t234)))) % 1.12/1.37 (assume @p523 (forall @t678 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t674) @t233)))) % 1.12/1.37 (assume @p524 (forall @t684 (=> @t601 (=> @t683 (=> @t672 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t636) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t664 @t681))))))) % 1.12/1.37 (assume @p525 (forall @t678 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t674) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t129))))) % 1.12/1.37 (assume @p526 (forall @t677 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t675 @t75) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t75))))) % 1.12/1.37 (assume @p527 (forall @t686 (=> @t601 (=> @t438 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t664))))) % 1.12/1.37 (assume @p528 (forall @t684 (=> @t601 (=> @t683 (=> @t438 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t636) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t664 @t681))))))) % 1.12/1.37 (assume @p529 (forall @t673 (=> @t601 (=> @t672 @t685)))) % 1.12/1.37 (assume @p530 (forall (@list @t687 @t688) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t688) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t687) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 (tptp.c_NthRoot_Oroot @t688 @t687)))))) % 1.12/1.37 (assume @p531 (forall @t657 (=> @t672 (= (tptp.c_RComplete_Onatceiling @t690) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t689 @t645))))) % 1.12/1.37 (assume @p532 (forall @t657 (=> @t672 (= (tptp.c_RComplete_Onatfloor @t690) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t691 @t645))))) % 1.12/1.37 (assume @p533 (forall @t686 (=> @t601 (=> @t438 @t694)))) % 1.12/1.37 (assume @p534 (forall (@list @t21 @t18 @t522) (=> @t601 (=> @t671 (=> (= (tptp.hAPP (tptp.hAPP @t692 @t18) @t522) @t21) (= @t664 @t18)))))) % 1.12/1.37 (assume @p535 (forall @t37 (=> @t50 (= (tptp.hAPP @t696 @t645) @t21)))) % 1.12/1.37 (assume @p536 (forall @t700 (=> @t637 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t699 @t697)))) % 1.12/1.37 (assume @p537 (forall @t700 (=> @t41 (= @t699 @t697)))) % 1.12/1.37 (assume @p538 (forall (@list @t21 @t522 @t485 @t19) (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t469) @t485) @t522)) @t21) (tptp.hAPP (tptp.hAPP @t695 @t487) @t522))))) % 1.12/1.37 (assume @p539 (forall @t702 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t695 @t701) @t483) (tptp.hAPP @t696 (tptp.hAPP (tptp.hAPP @t559 @t485) @t483)))))) % 1.12/1.37 (assume @p540 (forall (@list @t483 @t18 @t21 @t19) (=> @t50 (= (tptp.hAPP (tptp.hAPP @t695 @t33) @t483) (tptp.hAPP (tptp.hAPP @t31 @t704) (tptp.hAPP @t703 @t483)))))) % 1.12/1.37 (assume @p541 (= (tptp.c_RComplete_Onatfloor @t75) @t510)) % 1.12/1.37 (assume @p542 (forall @t657 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510 @t691))) % 1.12/1.37 (assume @p543 (forall @t439 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t691 (tptp.c_RComplete_Onatfloor @t18))))) % 1.12/1.37 (assume @p544 (= (tptp.c_RComplete_Onatfloor @t636) @t645)) % 1.12/1.37 (assume @p545 (= (tptp.c_RComplete_Onatceiling @t75) @t510)) % 1.12/1.37 (assume @p546 (forall @t657 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510 @t689))) % 1.12/1.37 (assume @p547 (forall @t439 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 (tptp.c_RComplete_Onatceiling @t18))))) % 1.12/1.37 (assume @p548 (= (tptp.c_RComplete_Onatceiling @t636) @t645)) % 1.12/1.37 (assume @p549 (forall @t37 (=> @t50 (= (tptp.hAPP @t696 @t510) @t630)))) % 1.12/1.37 (assume @p550 (forall @t702 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t31 @t701) @t704) (tptp.hAPP @t696 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t485 @t483)))))) % 1.12/1.37 (assume @p551 (forall @t657 (=> @t705 (= @t691 @t510)))) % 1.12/1.37 (assume @p552 (forall @t657 (=> @t705 (= @t689 @t510)))) % 1.12/1.37 (assume @p553 (forall (@list @t173 @t21 @t522) (=> @t601 (= (tptp.c_NthRoot_Oroot @t522 (tptp.hAPP @t706 @t173)) (tptp.hAPP @t693 @t173))))) % 1.12/1.37 (assume @p554 (forall @t475 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t645 @t707) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t636 @t81)))) % 1.12/1.37 (assume @p555 (forall @t475 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t708 @t645) @t679))) % 1.12/1.37 (assume @p556 (forall @t710 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t46) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t559 @t709) (tptp.c_RComplete_Onatfloor @t46)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t29 @t43) @t46))))))) % 1.12/1.37 (assume @p557 (forall @t686 (=> @t601 (=> @t672 (= (tptp.c_NthRoot_Oroot @t522 @t711) @t21))))) % 1.12/1.37 (assume @p558 (forall @t686 (=> @t601 (=> @t672 @t694)))) % 1.12/1.37 (assume @p559 (forall @t716 (=> @t428 (=> @t353 (=> @t209 (=> @t601 @t715)))))) % 1.12/1.37 (assume @p560 (forall @t718 (=> @t428 (=> @t717 (=> @t601 (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t714)))))) % 1.12/1.37 (assume @p561 (forall @t723 (=> @t428 (=> @t722 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t721 @t720) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81 @t129)))))) % 1.12/1.37 (assume @p562 (forall @t725 (=> @t428 (=> @t717 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t724 @t714) @t532))))) % 1.12/1.37 (assume @p563 (forall @t729 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 (tptp.hAPP (tptp.hAPP @t728 @t727) @t525)) (or (not (= @t81 @t726)) @t584)))) % 1.12/1.37 (assume @p564 (forall @t729 (= @t732 (or @t730 @t584)))) % 1.12/1.37 (assume @p565 (forall @t736 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t174) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t735 @t734) @t533)))) % 1.12/1.37 (assume @p566 (forall @t40 (= (tptp.hAPP @t737 @t622) (tptp.hAPP (tptp.hAPP @t739 @t738) (tptp.hAPP @t737 @t14))))) % 1.12/1.37 (assume @p567 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t728 @t738) @t14) (tptp.hAPP @t737 (tptp.hAPP (tptp.hAPP @t559 @t18) @t14))))) % 1.12/1.37 (assume @p568 (forall @t718 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t19) (=> @t280 (not (= @t714 @t76)))))) % 1.12/1.37 (assume @p569 (forall @t716 (=> @t642 (= (tptp.hAPP (tptp.hAPP @t695 @t47) @t522) (tptp.hAPP @t740 @t712))))) % 1.12/1.37 (assume @p570 (forall @t718 (=> @t641 (= (tptp.hAPP @t740 @t43) @t741)))) % 1.12/1.37 (assume @p571 (forall @t742 (=> @t641 (= (tptp.hAPP (tptp.hAPP @t695 @t630) @t522) @t630)))) % 1.12/1.37 (assume @p572 (forall @t716 (=> @t231 @t743))) % 1.12/1.37 (assume @p573 (forall @t718 (=> @t212 (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t714) @t744)))) % 1.12/1.37 (assume @p574 (forall @t725 (=> @t641 (= (tptp.hAPP @t713 @t618) (tptp.hAPP (tptp.hAPP @t695 @t724) @t522))))) % 1.12/1.37 (assume @p575 (forall @t92 (=> @t641 (= (tptp.hAPP @t713 @t645) @t43)))) % 1.12/1.37 (assume @p576 (forall @t718 (=> @t428 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t714))))) % 1.12/1.37 (assume @p577 (forall @t716 (=> @t428 (=> @t125 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t714 @t712)))))) % 1.12/1.37 (assume @p578 (forall @t718 (=> @t428 (=> @t414 (tptp.c_Orderings_Oord__class_Oless @t19 @t76 @t714))))) % 1.12/1.37 (assume @p579 (forall @t718 (=> @t428 (=> @t745 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t630 @t714))))) % 1.12/1.37 (assume @p580 (forall (@list @t525 @t62 @t19) (=> (and @t748 @t274 @t281 @t644) (= (= @t747 @t76) (and @t97 @t611))))) % 1.12/1.37 (assume @p581 (forall (@list @t525 @t526 @t62 @t19) (=> @t428 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t62) (= (= (tptp.hAPP @t746 @t526) @t747) @t527))))) % 1.12/1.37 (assume @p582 (forall (@list @t522 @t43 @t46 @t19) (=> @t331 (=> @t241 @t743)))) % 1.12/1.37 (assume @p583 (forall @t92 (=> @t748 (= (tptp.hAPP @t713 @t510) @t630)))) % 1.12/1.37 (assume @p584 (forall @t725 (=> @t641 (= (tptp.hAPP @t713 @t563) (tptp.hAPP (tptp.hAPP @t31 @t724) @t714))))) % 1.12/1.37 (assume @p585 (forall @t718 (=> @t231 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t630 @t714) (tptp.hAPP (tptp.hAPP @t695 (tptp.c_Rings_Oinverse__class_Odivide @t19 @t630 @t43)) @t522))))) % 1.12/1.37 (assume @p586 (forall @t749 (=> @t428 (=> @t715 (=> @t207 @t353))))) % 1.12/1.37 (assume @p587 (forall @t718 (=> @t428 (=> @t717 (tptp.c_Orderings_Oord__class_Oless @t19 @t714 @t741))))) % 1.12/1.37 (assume @p588 (forall @t718 (=> @t428 (=> @t717 (tptp.c_Orderings_Oord__class_Oless @t19 @t630 @t741))))) % 1.12/1.37 (assume @p589 (forall @t742 (=> (and @t748 @t751) (and (=> @t600 (= @t750 @t630)) (=> @t602 (= @t750 @t76)))))) % 1.12/1.37 (assume @p590 (forall @t718 (=> @t212 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t76 @t744)))) % 1.12/1.37 (assume @p591 (forall @t753 (=> @t428 (=> @t683 (=> @t717 (tptp.c_Orderings_Oord__class_Oless @t19 @t714 @t752)))))) % 1.12/1.37 (assume @p592 (forall @t725 (=> @t428 (=> @t717 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t724 @t714) @t533))))) % 1.12/1.37 (assume @p593 (forall @t723 (=> @t428 (=> @t722 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t721 @t720) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t81 @t129)))))) % 1.12/1.37 (assume @p594 (forall @t753 (=> @t428 (=> @t754 (=> @t745 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t714 @t752)))))) % 1.12/1.37 (assume @p595 (forall @t718 (=> @t428 (=> @t414 (=> @t755 (tptp.c_Orderings_Oord__class_Oless @t19 @t741 @t714)))))) % 1.12/1.37 (assume @p596 (forall @t753 (=> @t428 (=> @t683 (=> @t414 (=> @t755 (tptp.c_Orderings_Oord__class_Oless @t19 @t752 @t714))))))) % 1.12/1.37 (assume @p597 (forall @t749 (=> @t428 (=> (= @t714 @t712) (=> @t209 (=> @t207 (=> @t601 @t106))))))) % 1.12/1.37 (assume @p598 (forall @t753 (=> @t428 (=> @t754 (=> @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t43 @t630) (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t752 @t714))))))) % 1.12/1.37 (assume @p599 (forall (@list @t522 @t46) (=> (not (= @t46 @t38)) (=> @t602 (exists @t466 (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 (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP @t8 @t46) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) @t462) @t522)))) @t636)))))) % 1.12/1.37 (assume @p600 (forall @t77 (=> @t748 (= @t695 (tptp.c_Power_Opower_Opower @t19 @t630 @t31))))) % 1.12/1.37 (assume @p601 (forall @t686 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t756 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t757) (= @t689 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t522 @t645)))))) % 1.12/1.37 (assume @p602 (forall @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t756))) % 1.12/1.37 (assume @p603 (forall @t759 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 (tptp.hAPP (tptp.hAPP @t728 @t758) @t522)))) % 1.12/1.37 (assume @p604 (forall @t534 (= @t762 @t760))) % 1.12/1.37 (assume @p605 (forall @t534 (= @t760 @t762))) % 1.12/1.37 (assume @p606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t763)) % 1.12/1.37 (assume @p607 (forall @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t763 @t178) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t178)))) % 1.12/1.37 (assume @p608 (forall @t764 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t178) @t763) (= @t178 @t726)))) % 1.12/1.37 (assume @p609 (not (= @t726 @t763))) % 1.12/1.37 (assume @p610 (forall @t639 (= (tptp.hAPP (tptp.hAPP @t739 @t763) @t14) @t14))) % 1.12/1.37 (assume @p611 (forall @t639 (= (tptp.hAPP @t765 @t763) @t14))) % 1.12/1.37 (assume @p612 (forall @t534 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t739 @t184) @t522)) @t763) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t184) @t763)))) % 1.12/1.37 (assume @p613 (forall @t639 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t766 @t14) @t726)))) % 1.12/1.37 (assume @p614 (forall @t769 (= @t768 (or @t767 (= @t179 @t178))))) % 1.12/1.37 (assume @p615 (forall @t16 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t14) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 @t763) @t14)))) % 1.12/1.37 (assume @p616 (forall @t531 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t526) (= (= @t770 @t763) (and (= @t526 @t763) (= @t525 @t763)))))) % 1.12/1.37 (assume @p617 (forall @t639 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t766)))) % 1.12/1.37 (assume @p618 (forall @t764 (= (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 @t763 @t178) @t178) @t726) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t726)))) % 1.12/1.37 (assume @p619 (forall @t769 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t179 @t763) @t178) @t767))) % 1.12/1.37 (assume @p620 (forall @t769 (= @t768 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t179 @t178)))) % 1.12/1.37 (assume @p621 (forall (@list @t179 @t178) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t179) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t178 @t179) (not (= @t178 @t179)))))) % 1.12/1.37 (assume @p622 (forall @t439 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t18) @t117 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t18 @t21)))) % 1.12/1.37 (assume @p623 (forall @t773 (= (= @t772 @t771) (= @t525 @t526)))) % 1.12/1.37 (assume @p624 (forall @t657 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t774) @t774))) % 1.12/1.37 (assume @p625 (forall @t80 (= (tptp.hAPP @t765 @t15) (tptp.hAPP @t775 @t14)))) % 1.12/1.37 (assume @p626 (forall @t779 (= (tptp.hAPP @t775 @t778) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t777 @t776)))) % 1.12/1.37 (assume @p627 (forall @t90 (= (tptp.hAPP (tptp.hAPP @t739 (tptp.hAPP @t781 @t86)) @t85) (tptp.hAPP @t781 (tptp.hAPP @t780 @t85))))) % 1.12/1.37 (assume @p628 (forall @t102 (= (tptp.hAPP (tptp.hAPP @t739 @t778) @t15) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t783 @t782)))) % 1.12/1.37 (assume @p629 (forall @t639 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 @t726) @t14))) % 1.12/1.37 (assume @p630 (forall @t639 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t726 @t14) @t14))) % 1.12/1.37 (assume @p631 (forall @t176 (=> @t784 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t174 @t173) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t175 @t173))))) % 1.12/1.37 (assume @p632 (forall (@list @t14 @t786 @t15 @t787) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t787 @t15) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t786 @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t787 @t786) @t785))))) % 1.12/1.37 (assume @p633 (forall @t176 (=> @t784 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t788 @t174) (tptp.hAPP @t788 @t175)))))) % 1.12/1.37 (assume @p634 (forall @t523 (= (tptp.c_RComplete_Onatceiling @t756) @t522))) % 1.12/1.37 (assume @p635 (forall @t523 (= (tptp.c_RComplete_Onatfloor @t756) @t522))) % 1.12/1.37 (assume @p636 (forall @t585 (= (= @t772 @t75) @t584))) % 1.12/1.37 (assume @p637 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t510) @t75)) % 1.12/1.37 (assume @p638 (forall @t523 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t756 @t75)))) % 1.12/1.37 (assume @p639 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t772 @t771) @t537))) % 1.12/1.37 (assume @p640 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t772 @t771) @t789))) % 1.12/1.37 (assume @p641 (forall @t534 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t618) (tptp.hAPP (tptp.hAPP @t29 @t761) @t756)))) % 1.12/1.37 (assume @p642 (forall @t534 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t563) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t761 @t756)))) % 1.12/1.37 (assume @p643 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t645) @t636)) % 1.12/1.37 (assume @p644 (forall @t759 (=> (= @t21 @t790) (= (tptp.c_RComplete_Onatfloor @t711) (tptp.hAPP (tptp.hAPP @t731 @t691) @t522))))) % 1.12/1.37 (assume @p645 (forall @t657 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t689)))) % 1.12/1.37 (assume @p646 (forall @t585 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t772 @t75) @t584))) % 1.12/1.37 (assume @p647 (forall @t657 (=> @t672 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t790 @t21)))) % 1.12/1.37 (assume @p648 (forall @t791 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t774 @t43) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t709)))) % 1.12/1.37 (assume @p649 (forall (@list @t62 @t793 @t792 @t19) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t19 @t792 @t793) @t62) @t510) @t792))) % 1.12/1.37 (assume @p650 (forall @t791 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t794) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 @t43)))) % 1.12/1.37 (assume @p651 (forall @t585 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t772) @t609))) % 1.12/1.37 (assume @p652 (forall @t773 (= @t537 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t772 @t636) @t771)))) % 1.12/1.37 (assume @p653 (forall @t773 (= @t789 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t772 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t771 @t636))))) % 1.12/1.37 (assume @p654 (forall @t796 (=> @t232 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t62 @t707) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t795 @t81))))) % 1.12/1.37 (assume @p655 (forall @t796 (=> @t232 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t708 @t62) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81 @t795))))) % 1.12/1.37 (assume @p656 (forall @t657 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t790 @t636)))) % 1.12/1.37 (assume @p657 (forall @t759 (=> @t672 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t756) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t691 @t522))))) % 1.12/1.37 (assume @p658 (forall @t791 (=> @t672 (= (tptp.c_RComplete_Onatfloor @t797) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t691 @t43))))) % 1.12/1.37 (assume @p659 (forall @t798 (=> (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 @t14) @t645) @t522) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t14 @t756)))) % 1.12/1.37 (assume @p660 (forall @t686 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t756 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t757) (= @t691 @t522))))) % 1.12/1.37 (assume @p661 (forall @t791 (=> @t672 (= (tptp.c_RComplete_Onatceiling @t797) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t689 @t43))))) % 1.12/1.37 (assume @p662 (forall @t759 (=> @t672 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t29 @t756) @t21) @t636) (tptp.hAPP (tptp.hAPP @t692 @t690) @t522))))) % 1.12/1.37 (assume @p663 (forall @t729 (= @t732 (or @t584 @t730)))) % 1.12/1.37 (assume @p664 (forall @t802 (=> @t801 (=> @t800 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t43) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t763 @t483)))))) % 1.12/1.37 (assume @p665 (forall @t176 (=> @t803 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t174) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t175))))) % 1.12/1.37 (assume @p666 (forall @t90 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t778 @t85) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t85))))) % 1.12/1.37 (assume @p667 (forall @t40 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t18 @t14)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t18 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t14))))) % 1.12/1.37 (assume @p668 (forall @t80 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 @t15) @t785))) % 1.12/1.37 (assume @p669 (forall @t80 (=> @t805 (=> @t804 @t170)))) % 1.12/1.37 (assume @p670 (forall @t176 (=> @t803 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t175 @t173) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t174 @t173))))) % 1.12/1.37 (assume @p671 (forall @t80 (or @t805 @t804))) % 1.12/1.37 (assume @p672 (forall @t177 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t15 @t15))) % 1.12/1.37 (assume @p673 (forall @t812 (=> @t811 (=> @t809 (=> @t807 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t806)))))) % 1.12/1.37 (assume @p674 (forall @t812 (=> @t814 (=> @t813 (=> @t807 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t726)))))) % 1.12/1.37 (assume @p675 (forall @t820 (=> @t819 (=> @t813 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t808 @t46) (=> @t816 @t815)))))) % 1.12/1.37 (assume @p676 (forall @t825 (=> @t824 (=> @t811 (=> @t809 (=> @t823 (=> @t807 (=> @t822 @t821)))))))) % 1.12/1.37 (assume @p677 (forall @t820 (=> @t819 (=> @t827 (=> @t826 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t808) @t821)))))) % 1.12/1.37 (assume @p678 (forall @t825 (=> @t824 (=> @t814 (=> @t816 (=> @t813 (=> @t807 (=> @t822 @t815)))))))) % 1.12/1.37 (assume @p679 (forall @t802 (=> @t801 (=> @t800 (=> @t823 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t483 @t763)))))) % 1.12/1.37 (assume @p680 (forall @t759 (=> @t828 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 (tptp.hAPP @t737 @t522))))) % 1.12/1.37 (assume @p681 (forall @t439 (=> @t828 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 (tptp.hAPP (tptp.hAPP @t739 @t21) @t18)))))) % 1.12/1.37 (assume @p682 (forall @t439 (=> @t828 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t18)))))) % 1.12/1.37 (assume @p683 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t726)) % 1.12/1.37 (assume @p684 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t763)) % 1.12/1.37 (assume @p685 (forall @t439 (=> @t682 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t18) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t21 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t18))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t691 @t18)))))) % 1.12/1.37 (assume @p686 (forall @t835 (=> @t115 (= (tptp.c_SEQ_Odecseq @t19 @t830) (forall @t834 (=> @t833 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t832 @t831))))))) % 1.12/1.37 (assume @p687 (forall @t838 (=> @t601 (=> @t837 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t3) (= (tptp.hAPP (tptp.hAPP @t692 @t3) @t522) @t43) (forall (@list @t836) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t836) (= (tptp.hAPP (tptp.hAPP @t692 @t836) @t522) @t43)) (= @t836 @t3))))))))) % 1.12/1.37 (assume @p688 (forall @t621 (and (=> @t842 (= @t840 @t510)) (=> (not @t842) @t841)))) % 1.12/1.37 (assume @p689 (forall @t617 (=> @t532 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t184 @t173) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t522 @t173))))) % 1.12/1.37 (assume @p690 (forall @t534 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t839 @t184))) % 1.12/1.37 (assume @p691 (forall @t846 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t845) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t843 @t105)))) % 1.12/1.37 (assume @p692 (forall @t534 (=> @t533 (= @t839 @t510)))) % 1.12/1.37 (assume @p693 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t76 @t43) @t76)))) % 1.12/1.37 (assume @p694 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t43 @t76) @t76)))) % 1.12/1.37 (assume @p695 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t43 @t630) @t43)))) % 1.12/1.37 (assume @p696 (forall @t247 (=> @t847 @t850))) % 1.12/1.37 (assume @p697 (forall @t247 (=> @t847 (=> @t246 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t197 @t196) @t848))))) % 1.12/1.37 (assume @p698 (forall @t242 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t154 @t46) @t43))))) % 1.12/1.37 (assume @p699 (forall @t242 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t47 @t46) @t43))))) % 1.12/1.37 (assume @p700 (forall @t247 (=> @t847 (and (=> @t245 (= @t849 @t76)) @t850)))) % 1.12/1.37 (assume @p701 (forall @t92 (=> @t847 (=> @t280 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t43 @t43) @t630))))) % 1.12/1.37 (assume @p702 (forall @t617 (=> @t667 (=> @t532 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t173 @t522) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t173 @t184)))))) % 1.12/1.37 (assume @p703 (forall @t539 (=> @t601 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t618 @t522) @t184)))) % 1.12/1.37 (assume @p704 (forall @t539 (=> @t601 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t623 @t522) @t184)))) % 1.12/1.37 (assume @p705 (forall @t621 (=> @t603 @t841))) % 1.12/1.37 (assume @p706 (forall @t539 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t645 @t522) (=> @t667 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t839 @t184))))) % 1.12/1.37 (assume @p707 (forall @t686 (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 @t522 @t21)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t756 @t774)))) % 1.12/1.37 (assume @p708 (forall @t123 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t852 @t46) @t851))))) % 1.12/1.37 (assume @p709 (forall @t123 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t853 @t46) @t851))))) % 1.12/1.37 (assume @p710 (forall @t242 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t273 @t46) @t854))))) % 1.12/1.37 (assume @p711 (forall @t242 (=> @t847 (=> @t241 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t159 @t46) @t854))))) % 1.12/1.37 (assume @p712 (forall @t860 (= (tptp.hBOOL (tptp.hAPP @t541 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t525 @t555))) (and (=> @t590 @t663) (=> @t859 (forall @t858 (=> @t857 (=> @t856 @t660)))))))) % 1.12/1.37 (assume @p713 (forall @t838 (=> @t601 (=> @t837 (exists @t467 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t464) (= (tptp.hAPP (tptp.hAPP @t692 @t464) @t522) @t43))))))) % 1.12/1.37 (assume @p714 (forall (@list @t21 @t103) (=> @t862 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t774 @t861) (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 @t21 @t103)) (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 @t21 @t103)) @t861)))))) % 1.12/1.37 (assume @p715 (forall @t835 (=> @t25 (= @t865 @t864)))) % 1.12/1.37 (assume @p716 (forall @t51 (=> @t331 (= (tptp.c_Divides_Odiv__class_Odiv @t469 @t21 @t868) (tptp.c_Divides_Odiv__class_Odiv @t469 @t866 @t14))))) % 1.12/1.37 (assume @p717 (forall @t846 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t46) @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t105) @t870) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t43 @t105) @t869) @t105))))) % 1.12/1.37 (assume @p718 (forall @t155 (=> @t847 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t871 @t46) @t76)))) % 1.12/1.37 (assume @p719 (forall @t872 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t726 @t46) @t726))) % 1.12/1.37 (assume @p720 (forall @t439 (=> @t828 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t873))))) % 1.12/1.37 (assume @p721 (forall @t710 (=> @t876 (=> @t875 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t874 @t726))))) % 1.12/1.37 (assume @p722 (forall @t880 (=> @t879 (= @t878 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t62))))) % 1.12/1.37 (assume @p723 (forall @t880 (=> @t881 (= @t878 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t62 @t726))))) % 1.12/1.37 (assume @p724 (forall @t882 (=> (not (= @t43 @t726)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t43) @t763)))) % 1.12/1.37 (assume @p725 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t43 @t630) @t76)))) % 1.12/1.37 (assume @p726 (forall @t534 (=> @t533 (= @t883 @t184)))) % 1.12/1.37 (assume @p727 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t43 @t43) @t76)))) % 1.12/1.37 (assume @p728 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t43 @t76) @t43)))) % 1.12/1.37 (assume @p729 (forall @t92 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t76 @t43) @t76)))) % 1.12/1.37 (assume @p730 (forall @t539 (=> @t601 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t883 @t522)))) % 1.12/1.37 (assume @p731 (forall @t127 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t852 @t46) @t871)))) % 1.12/1.37 (assume @p732 (forall @t296 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t853 @t46) @t871)))) % 1.12/1.37 (assume @p733 (forall @t242 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t154 @t46) @t76)))) % 1.12/1.37 (assume @p734 (forall @t155 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t47 @t46) @t76)))) % 1.12/1.37 (assume @p735 (forall @t886 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t526 @t61) @t510) (exists @t885 (= @t526 (tptp.hAPP (tptp.hAPP @t559 @t61) @t884)))))) % 1.12/1.37 (assume @p736 (forall @t127 (=> @t847 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.hAPP @t44 @t887) @t105))))) % 1.12/1.37 (assume @p737 (forall @t127 (=> @t847 (= @t888 @t891)))) % 1.12/1.37 (assume @p738 (forall @t127 (=> @t847 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.hAPP @t890 @t887) @t105))))) % 1.12/1.37 (assume @p739 (forall @t247 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t314 @t313) (tptp.hAPP @t312 @t871))))) % 1.12/1.37 (assume @p740 (forall @t296 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t197 @t196) (tptp.hAPP (tptp.hAPP @t31 @t871) @t105))))) % 1.12/1.37 (assume @p741 (forall @t296 (=> @t847 (= @t891 @t888)))) % 1.12/1.37 (assume @p742 (forall @t894 (=> @t847 (=> @t893 (=> @t892 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.hAPP @t193 @t42) @t105))))))) % 1.12/1.37 (assume @p743 (forall (@list @t184 @t522 @t173) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t619 @t184) @t522) @t883))) % 1.12/1.37 (assume @p744 (forall @t617 (= (tptp.hAPP (tptp.hAPP @t559 @t883) @t173) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t616 @t615)))) % 1.12/1.37 (assume @p745 (forall @t621 (= (tptp.hAPP @t576 @t883) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t620 @t619)))) % 1.12/1.37 (assume @p746 (forall @t894 (=> @t847 (=> @t893 (=> @t892 (= @t895 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t192 @t42) @t105))))))) % 1.12/1.37 (assume @p747 (forall @t296 (=> @t847 (= @t896 @t895)))) % 1.12/1.37 (assume @p748 (forall @t127 (=> @t847 (= @t897 @t895)))) % 1.12/1.37 (assume @p749 (forall @t127 (=> @t847 (= @t895 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t889 @t887) @t105))))) % 1.12/1.37 (assume @p750 (forall @t127 (=> @t847 (= @t895 @t896)))) % 1.12/1.37 (assume @p751 (forall @t127 (=> @t847 (= @t895 @t897)))) % 1.12/1.37 (assume @p752 (forall @t242 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t273 @t46) @t871)))) % 1.12/1.37 (assume @p753 (forall @t155 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t159 @t46) @t871)))) % 1.12/1.37 (assume @p754 (forall @t155 (=> @t847 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t871 @t46) @t871)))) % 1.12/1.37 (assume @p755 (forall @t534 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t883 @t184))) % 1.12/1.37 (assume @p756 (forall @t155 (=> @t847 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t871 @t898) @t43)))) % 1.12/1.37 (assume @p757 (forall @t242 (=> @t847 (= @t899 @t43)))) % 1.12/1.37 (assume @p758 (forall @t155 (=> @t847 (= @t900 @t43)))) % 1.12/1.37 (assume @p759 (forall @t123 (=> @t847 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t899 @t105) @t157)))) % 1.12/1.37 (assume @p760 (forall @t127 (=> @t847 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t900 @t105) @t157)))) % 1.12/1.37 (assume @p761 (forall @t904 (=> @t903 (=> @t902 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t901 @t874))))) % 1.12/1.37 (assume @p762 (forall @t904 (=> @t903 (=> @t875 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t874 @t901))))) % 1.12/1.37 (assume @p763 (forall @t710 (=> @t907 (=> @t906 @t905)))) % 1.12/1.37 (assume @p764 (forall @t909 (=> @t876 (=> @t807 (=> @t822 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t908 @t874)))))) % 1.12/1.37 (assume @p765 (forall @t710 (=> @t907 (=> @t875 @t910)))) % 1.12/1.37 (assume @p766 (forall @t880 (=> @t879 (= @t911 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t62 @t726))))) % 1.12/1.37 (assume @p767 (forall @t710 (=> @t913 (=> @t912 @t905)))) % 1.12/1.37 (assume @p768 (forall @t710 (=> @t913 (=> @t902 @t910)))) % 1.12/1.37 (assume @p769 (forall @t909 (=> @t913 (=> @t807 (=> @t822 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t874 @t908)))))) % 1.12/1.37 (assume @p770 (forall (@list @t58 @t62) (=> @t914 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t877) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t58 @t62) @t881))))) % 1.12/1.37 (assume @p771 (forall (@list @t915 @t555) (=> @t917 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t916) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t555 @t915))))) % 1.12/1.37 (assume @p772 (forall @t880 (=> @t881 (= @t911 @t914)))) % 1.12/1.37 (assume @p773 (forall (@list @t555 @t915) (= (= @t916 @t726) (or @t918 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t915) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t915 @t555)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t915 @t726) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555 @t915)))))) % 1.12/1.37 (assume @p774 (forall @t539 (=> @t601 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t883 @t522)))) % 1.12/1.37 (assume @p775 (forall (@list @t173 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t763 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t21 @t173) @t21))))) % 1.12/1.37 (assume @p776 (forall @t921 (=> @t920 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t919) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t874 @t105))))) % 1.12/1.37 (assume @p777 (forall @t846 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t922 @t46) @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t922 @t870) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t922 @t869) @t105))))) % 1.12/1.37 (assume @p778 (forall @t846 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t43 @t845) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t844 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t843 @t105)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t43 @t46))))) % 1.12/1.37 (assume @p779 (forall @t923 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t105) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t78 @t46) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t844 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t483 @t105)) @t78) @t845))))) % 1.12/1.37 (assume @p780 (forall @t860 (= (tptp.hBOOL (tptp.hAPP @t541 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t525 @t555))) (and (=> @t590 @t662) (=> @t859 (forall @t858 (=> @t857 (=> @t856 @t924)))))))) % 1.12/1.37 (assume @p781 (forall (@list @t928 @t18 @t925 @t926) (=> (= @t926 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t931 @t18) @t928)) (=> (and (=> @t929 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t928) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t928 @t925))) (=> @t930 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t925 @t928) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t928 @t726)))) (=> @t927 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t926 @t925) @t18)))))) % 1.12/1.37 (assume @p782 (forall @t860 (= (tptp.hBOOL @t938) (and (=> @t918 (tptp.hBOOL (tptp.hAPP @t541 @t726))) (=> @t917 (forall @t661 (=> (exists @t935 @t937) @t660))) (=> @t936 (forall @t661 (=> (exists @t935 @t934) @t660))))))) % 1.12/1.37 (assume @p783 (forall (@list @t830 @t939 @t19) (=> @t25 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t75 @t939) (=> (forall @t567 @t940) @t865))))) % 1.12/1.37 (assume @p784 (forall @t835 (=> @t25 (=> @t865 @t864)))) % 1.12/1.37 (assume @p785 (forall @t846 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t943 @t105) (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 @t43 @t105) @t942) (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 @t43 @t105) @t941) @t105))))) % 1.12/1.37 (assume @p786 (forall @t710 (= @t43 @t945))) % 1.12/1.37 (assume @p787 (forall @t846 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t947 @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t799 @t942) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t946 @t105))))) % 1.12/1.37 (assume @p788 (forall (@list @t173 @t43 @t46) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t945 @t173) @t948))) % 1.12/1.37 (assume @p789 (forall (@list @t173 @t46 @t43) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t739 @t874) @t46) @t944) @t173) @t948))) % 1.12/1.37 (assume @p790 (forall @t710 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t944 @t46) @t726))) % 1.12/1.37 (assume @p791 (forall @t882 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t726) @t726) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t43 @t726) @t43)))) % 1.12/1.37 (assume @p792 (forall @t950 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t728 @t949) @t18) @t184) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t738 @t184)))) % 1.12/1.37 (assume @p793 (forall @t952 (=> @t875 @t951))) % 1.12/1.37 (assume @p794 (forall @t952 (=> @t902 @t953))) % 1.12/1.37 (assume @p795 (forall @t439 (=> @t828 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t18)))))) % 1.12/1.37 (assume @p796 (forall (@list @t173 @t184) (=> @t954 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t184 @t173) @t184)))) % 1.12/1.37 (assume @p797 (forall @t872 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t726 @t46) @t726))) % 1.12/1.37 (assume @p798 (forall @t882 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t43 @t43) @t726))) % 1.12/1.37 (assume @p799 (forall @t886 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t526 @t61) @t726) (exists @t885 (= @t526 (tptp.hAPP (tptp.hAPP @t739 @t61) @t884)))))) % 1.12/1.37 (assume @p800 (forall @t846 (= @t956 @t955))) % 1.12/1.37 (assume @p801 (forall @t846 (= @t955 @t956))) % 1.12/1.37 (assume @p802 (forall @t51 (=> @t331 (= (tptp.c_Divides_Odiv__class_Omod @t469 @t21 @t868) (tptp.c_Groups_Oplus__class_Oplus @t469 (tptp.hAPP @t867 (tptp.c_Divides_Odiv__class_Omod @t469 @t866 @t14)) (tptp.c_Divides_Odiv__class_Omod @t469 @t21 @t18)))))) % 1.12/1.37 (assume @p803 (forall @t952 (=> @t875 @t957))) % 1.12/1.37 (assume @p804 (forall @t952 (=> @t875 (and @t957 @t951)))) % 1.12/1.37 (assume @p805 (forall @t710 (=> @t913 (=> @t912 @t958)))) % 1.12/1.37 (assume @p806 (forall @t952 (=> @t902 @t959))) % 1.12/1.37 (assume @p807 (forall @t952 (=> @t902 (and @t959 @t953)))) % 1.12/1.37 (assume @p808 (forall @t710 (=> @t907 (=> @t906 @t958)))) % 1.12/1.37 (assume @p809 (forall @t710 (=> @t801 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t943 @t726) (= @t944 @t943))))) % 1.12/1.37 (assume @p810 (forall @t921 (=> @t920 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t43 @t919) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t817 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t874 @t105)) @t944))))) % 1.12/1.37 (assume @p811 (forall @t860 (= (tptp.hBOOL (tptp.hAPP @t541 @t960)) (and (=> @t918 @t662) (=> @t917 (forall @t858 (=> @t937 @t924))) (=> @t936 (forall @t858 (=> @t934 @t924))))))) % 1.12/1.37 (assume @p812 (forall @t923 (=> @t920 (=> @t823 (=> @t816 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t961)))))) % 1.12/1.37 (assume @p813 (forall @t923 (=> @t920 (=> @t823 (=> @t816 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t961 @t919)))))) % 1.12/1.37 (assume @p814 (forall @t962 (=> @t920 (=> @t826 (=> @t827 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t919 @t961)))))) % 1.12/1.37 (assume @p815 (forall @t962 (=> @t920 (=> @t826 (=> @t827 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t961 @t726)))))) % 1.12/1.37 (assume @p816 (forall (@list @t18 @t963 @t925 @t926) (=> (= @t926 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t931 @t963) @t18)) (=> (and (=> @t929 (and @t829 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t18 @t925))) (=> @t930 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t925 @t18) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t18 @t726)))) (=> @t927 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t926 @t925) @t18)))))) % 1.12/1.37 (assume @p817 (forall @t966 (=> @t936 (= @t965 (forall @t858 (=> @t934 @t964)))))) % 1.12/1.37 (assume @p818 (forall @t966 (=> @t917 (= @t965 (forall @t858 (=> @t937 @t964)))))) % 1.12/1.37 (assume @p819 (forall @t835 (=> @t115 (= (tptp.c_SEQ_Oincseq @t19 @t830) (forall @t834 (=> @t833 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t831 @t832))))))) % 1.12/1.37 (assume @p820 (forall (@list @t939 @t830 @t967 @t19) (=> @t25 (=> (forall @t567 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t967 @t565) @t940)) @t865)))) % 1.12/1.37 (assume @p821 (forall (@list @t522 @t103) (=> @t862 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t103 @t522) (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t522 @t103)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t756 @t861)))))) % 1.12/1.37 (assume @p822 (forall (@list @t18 @t522 @t21) (=> (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t21 @t522) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t18 @t522)) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t18 @t21) (exists @t885 (= @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t18 (tptp.hAPP @t614 @t884)))))))) % 1.12/1.37 (assume @p823 (forall @t657 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t21))) % 1.12/1.37 (assume @p824 (forall @t92 (=> @t50 (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t76)))) % 1.12/1.37 (assume @p825 (forall @t277 (=> @t847 (= @t968 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t58 @t62) @t76))))) % 1.12/1.37 (assume @p826 (forall @t155 (=> @t847 (=> @t969 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t46 @t43) @t76))))) % 1.12/1.37 (assume @p827 (forall @t973 (=> @t847 (=> @t972 (=> @t971 @t970))))) % 1.12/1.37 (assume @p828 (forall @t973 (=> @t847 (=> @t970 (=> @t971 @t972))))) % 1.12/1.37 (assume @p829 (forall @t248 (=> @t847 (=> @t974 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t871 @t105) @t889))))) % 1.12/1.37 (assume @p830 (forall (@list @t526 @t525 @t555 @t19) (=> @t847 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t555 @t525) (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t555 (tptp.c_Divides_Odiv__class_Omod @t19 @t526 @t525)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t555 @t526)))))) % 1.12/1.37 (assume @p831 (forall @t534 (=> @t667 (=> @t533 (not @t975))))) % 1.12/1.37 (assume @p832 (forall @t558 (= @t977 (or @t590 @t976)))) % 1.12/1.37 (assume @p833 (forall (@list @t522 @t18 @t21 @t19) (=> @t50 (=> @t979 (tptp.c_Rings_Odvd__class_Odvd @t19 @t698 @t978))))) % 1.12/1.37 (assume @p834 (forall (@list @t173 @t545 @t19) (=> @t212 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t19 @t545) (tptp.c_Groups_Oabs__class_Oabs @t19 @t173)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t545 @t173))))) % 1.12/1.37 (assume @p835 (forall @t981 (=> @t212 (= (tptp.c_Rings_Odvd__class_Odvd @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t526) @t555) @t980)))) % 1.12/1.37 (assume @p836 (forall @t981 (=> @t212 (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t526 (tptp.c_Groups_Oabs__class_Oabs @t19 @t555)) @t980)))) % 1.12/1.37 (assume @p837 (forall @t92 (=> @t50 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t76 @t43) @t279)))) % 1.12/1.37 (assume @p838 (forall @t155 (=> @t50 (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t47)))) % 1.12/1.37 (assume @p839 (forall @t155 (=> @t50 (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t154)))) % 1.12/1.37 (assume @p840 (forall @t127 (=> @t50 (=> @t969 @t982)))) % 1.12/1.37 (assume @p841 (forall @t296 (=> @t50 (=> @t983 @t982)))) % 1.12/1.37 (assume @p842 (forall @t160 (=> @t50 (=> @t969 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t105 @t103) (tptp.c_Rings_Odvd__class_Odvd @t19 @t197 @t318)))))) % 1.12/1.37 (assume @p843 (forall (@list @t173 @t46 @t43 @t19) (=> @t984 (=> (= @t43 (tptp.hAPP @t153 @t173)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t46 @t43))))) % 1.12/1.37 (assume @p844 (forall @t127 (=> @t50 (=> @t985 @t983)))) % 1.12/1.37 (assume @p845 (forall @t127 (=> @t50 (=> @t985 @t986)))) % 1.12/1.37 (assume @p846 (forall @t289 (=> @t497 (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t65 @t60) @t987)))) % 1.12/1.37 (assume @p847 (forall @t257 (=> @t497 (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t411 @t410) @t987)))) % 1.12/1.37 (assume @p848 (forall @t92 (=> @t50 (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t43)))) % 1.12/1.37 (assume @p849 (forall @t127 (=> @t50 (=> @t969 (=> @t986 @t983))))) % 1.12/1.37 (assume @p850 (forall @t235 (= @t130 (and @t989 @t988)))) % 1.12/1.37 (assume @p851 (forall @t235 (= @t989 (or @t990 @t130)))) % 1.12/1.37 (assume @p852 (forall @t235 (= @t990 (and @t989 @t360)))) % 1.12/1.37 (assume @p853 (forall @t710 (=> @t361 (=> @t992 @t993)))) % 1.12/1.37 (assume @p854 (forall @t439 (=> @t117 @t994))) % 1.12/1.37 (assume @p855 (forall (@list @t81 @t129) (=> @t988 (= @t989 @t130)))) % 1.12/1.37 (assume @p856 (forall @t439 (=> @t994 (or @t996 @t117)))) % 1.12/1.37 (assume @p857 (forall @t710 (=> @t992 (=> @t361 @t993)))) % 1.12/1.37 (assume @p858 (forall @t846 (=> @t106 (=> @t998 @t997)))) % 1.12/1.37 (assume @p859 (forall @t846 (=> @t992 (=> @t121 @t997)))) % 1.12/1.37 (assume @p860 (forall @t534 (=> @t999 (=> @t975 @t535)))) % 1.12/1.37 (assume @p861 (forall @t439 (=> @t994 (=> @t995 @t117)))) % 1.12/1.37 (assume @p862 (forall @t40 (=> @t994 (=> @t1001 @t1000)))) % 1.12/1.37 (assume @p863 (forall @t846 (=> @t106 (=> (and @t998 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t105 @t46))) @t1002)))) % 1.12/1.37 (assume @p864 (forall @t40 (=> @t994 @t1004))) % 1.12/1.37 (assume @p865 (forall @t439 (=> @t996 @t344))) % 1.12/1.37 (assume @p866 (forall @t439 (=> @t996 (not (and @t995 (not @t994)))))) % 1.12/1.37 (assume @p867 (forall @t439 (=> @t996 @t994))) % 1.12/1.37 (assume @p868 (forall @t439 (=> @t996 @t355))) % 1.12/1.37 (assume @p869 (forall @t846 (=> @t993 (=> @t121 @t1002)))) % 1.12/1.37 (assume @p870 (forall @t40 (=> @t996 (=> @t1001 @t1003)))) % 1.12/1.37 (assume @p871 (forall @t710 (=> @t993 (not (and @t991 (not @t992)))))) % 1.12/1.37 (assume @p872 (forall @t40 (=> @t996 @t1004))) % 1.12/1.37 (assume @p873 (forall (@list @t43 @t522 @t184 @t19) (=> @t50 (=> @t532 (tptp.c_Rings_Odvd__class_Odvd @t19 @t724 @t714))))) % 1.12/1.37 (assume @p874 (forall (@list @t184 @t522 @t18 @t21 @t19) (=> @t50 (=> @t979 (=> @t583 (tptp.c_Rings_Odvd__class_Odvd @t19 @t698 (tptp.hAPP @t703 @t184))))))) % 1.12/1.37 (assume @p875 (forall (@list @t184 @t46 @t522 @t43 @t19) (=> @t50 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t714 @t46) (=> @t532 (tptp.c_Rings_Odvd__class_Odvd @t19 @t724 @t46)))))) % 1.12/1.37 (assume @p876 (forall @t127 (=> @t50 (=> @t969 (=> @t983 (tptp.c_Rings_Odvd__class_Odvd @t19 @t43 @t162)))))) % 1.12/1.37 (assume @p877 (forall (@list @t525 @t555) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t555 @t613) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t555 @t525)))) % 1.12/1.37 (assume @p878 (forall @t92 (=> @t50 (tptp.c_Rings_Odvd__class_Odvd @t19 @t630 @t43)))) % 1.12/1.37 (assume @p879 (forall (@list @t526) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t526 @t645) @t647))) % 1.12/1.37 (assume @p880 (forall (@list @t522 @t21 @t18 @t19) (=> @t847 (=> @t1006 (= (tptp.hAPP (tptp.hAPP @t695 @t1005) @t522) (tptp.c_Divides_Odiv__class_Odiv @t19 @t698 @t978)))))) % 1.12/1.37 (assume @p881 (forall (@list @t15 @t14 @t21 @t18 @t19) (=> @t847 (=> @t1006 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t14 @t15) (= (tptp.hAPP (tptp.hAPP @t31 @t1005) (tptp.c_Divides_Odiv__class_Odiv @t19 @t15 @t14)) (tptp.c_Divides_Odiv__class_Odiv @t19 (tptp.hAPP @t32 @t15) @t334))))))) % 1.12/1.37 (assume @p882 (forall @t127 (=> @t847 (=> @t969 (= (tptp.hAPP @t1008 @t105) (tptp.c_Divides_Odiv__class_Odiv @t19 @t196 @t43)))))) % 1.12/1.37 (assume @p883 (forall @t155 (=> @t847 (=> @t969 (= (tptp.hAPP @t1008 @t43) @t46))))) % 1.12/1.37 (assume @p884 (forall @t248 (=> @t847 (=> @t974 (= (tptp.hAPP @t44 (tptp.c_Divides_Odiv__class_Odiv @t19 @t46 @t105)) (tptp.c_Divides_Odiv__class_Odiv @t19 @t47 @t105)))))) % 1.12/1.37 (assume @p885 (forall @t155 (=> @t847 (=> @t969 (= (tptp.hAPP @t44 @t1007) @t46))))) % 1.12/1.37 (assume @p886 (forall @t332 (=> @t847 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t14 @t21) (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t14 @t18) (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t23 @t14) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Divides_Odiv__class_Odiv @t19 @t21 @t14) (tptp.c_Divides_Odiv__class_Odiv @t19 @t18 @t14)))))))) % 1.12/1.37 (assume @p887 (forall @t270 (=> @t847 (=> @t968 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t62 @t57) (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t1009 (tptp.c_Divides_Odiv__class_Odiv @t19 @t57 @t62)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t58 @t57))))))) % 1.12/1.37 (assume @p888 (forall @t270 (=> @t847 (=> @t431 (=> @t968 (= (= @t1009 @t57) (= @t58 @t411))))))) % 1.12/1.37 (assume @p889 (forall (@list @t61 @t58 @t57 @t62 @t19) (=> @t847 (=> @t431 (=> @t253 (=> @t968 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t57 @t61) (= (= @t1009 (tptp.c_Divides_Odiv__class_Odiv @t19 @t61 @t57)) (= @t60 @t64))))))))) % 1.12/1.37 (assume @p890 (forall (@list @t522 @t173) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t173 @t522) (=> @t601 @t580)))) % 1.12/1.37 (assume @p891 (forall @t621 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t620 @t619) (=> @t603 @t999)))) % 1.12/1.37 (assume @p892 (forall @t558 (=> @t604 (= @t977 @t976)))) % 1.12/1.37 (assume @p893 (forall (@list @t21 @t522 @t19) (=> @t50 (=> (or @t601 (= @t21 @t630)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t21 @t698))))) % 1.12/1.37 (assume @p894 (forall @t531 (=> @t610 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t596 @t526) @t526) @t646)))) % 1.12/1.37 (assume @p895 (forall @t531 (=> @t610 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t589 @t526) @t646)))) % 1.12/1.37 (assume @p896 (forall @t736 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t735 @t734) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t645 @t174) @t532)))) % 1.12/1.37 (assume @p897 (forall (@list @t566 @t541 @t19) (=> (and @t984 @t751) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t541 (tptp.hAPP (tptp.hAPP @t31 @t566) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t19 @t566 (tptp.c_Groups_Oplus__class_Oplus @t19 @t3 @t76)) @t1010)))))) % 1.12/1.37 (assume @p898 (forall @t1011 (=> @t611 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t731 @t62) @t525) (tptp.hAPP (tptp.hAPP @t731 @t58) @t525)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t62 @t58))))) % 1.12/1.37 (assume @p899 (forall @t621 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t173 @t1013) @t1012))) % 1.12/1.37 (assume @p900 (forall (@list @t522 @t184 @t1014) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1014 @t184) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1014 @t522) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1014 @t1013))))) % 1.12/1.37 (assume @p901 (forall @t475 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t81 @t763) (= @t727 @t763)))) % 1.12/1.37 (assume @p902 (forall @t1011 (=> @t611 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t728 @t62) @t525) (tptp.hAPP (tptp.hAPP @t728 @t58) @t525)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 @t58))))) % 1.12/1.37 (assume @p903 (forall @t1016 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t728 @t43) @t522) (tptp.hAPP (tptp.hAPP @t728 @t46) @t522)) (=> @t602 @t1015)))) % 1.12/1.37 (assume @p904 (forall @t710 (=> @t1015 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t46 @t43) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t43) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t46)))))) % 1.12/1.37 (assume @p905 (forall (@list @t1017 @t526 @t555) (=> (not @t918) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t526 @t1017) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1018 (tptp.hAPP @t932 @t1017)))))) % 1.12/1.37 (assume @p906 (forall @t621 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t788 @t184) (tptp.hAPP @t788 @t522)) (=> (not (= @t173 @t726)) @t1019)))) % 1.12/1.37 (assume @p907 (forall @t534 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t184) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t184 @t522) (not @t1020))))) % 1.12/1.37 (assume @p908 (forall (@list @t57 @t1017 @t81 @t61 @t62) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 @t61) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t81 @t1017)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t81 (tptp.hAPP (tptp.hAPP @t739 @t57) @t61)) @t1017)))))) % 1.12/1.37 (assume @p909 (forall (@list @t526 @t525 @t555) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t555 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t525 @t1018)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t555 @t525)))) % 1.12/1.37 (assume @p910 (forall @t534 (=> @t954 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t522) (=> @t1019 (=> @t1020 @t535)))))) % 1.12/1.37 (assume @p911 (forall (@list @t21 @t18) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t18 @t21) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t873) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t758 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t18)))))) % 1.12/1.37 (assume @p912 (forall @t539 (=> @t1020 (= @t1022 @t184)))) % 1.12/1.37 (assume @p913 (forall @t798 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t14 @t522) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t522) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t14 @t522))))) % 1.12/1.37 (assume @p914 (forall (@list @t103 @t174) (=> (not (= @t174 @t726)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t103 @t174) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t103) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t174)))))) % 1.12/1.37 (assume @p915 (forall @t531 (=> (not (= @t526 @t726)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t770 @t526) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t525) @t763))))) % 1.12/1.37 (assume @p916 (forall @t657 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t510))) % 1.12/1.37 (assume @p917 (forall @t657 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t645 @t21))) % 1.12/1.37 (assume @p918 (forall @t539 (=> @t601 (=> @t999 @t667)))) % 1.12/1.37 (assume @p919 (forall @t1016 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t731 @t43) @t522) (tptp.hAPP (tptp.hAPP @t731 @t46) @t522)) (=> @t602 @t992)))) % 1.12/1.37 (assume @p920 (forall (@list @t555 @t541 @t61) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t726 @t61) (=> (forall @t6 (=> @t1010 (tptp.hBOOL (tptp.hAPP @t541 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t61))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t555) (forall @t6 (=> @t1010 (tptp.hBOOL (tptp.hAPP @t541 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t932 @t61))))))))))) % 1.12/1.37 (assume @p921 (forall (@list @t14 @t21 @t103) (=> @t1024 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t21 @t1023) @t14)))) % 1.12/1.37 (assume @p922 (forall (@list @t129 @t525 @t81) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t81 @t525) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t129 @t525)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t525 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t81 @t129))))) % 1.12/1.37 (assume @p923 (forall @t51 (=> (tptp.class_Rings_Ocomm__ring__1 @t19) (=> @t979 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t21 @t14) (tptp.c_Rings_Odvd__class_Odvd @t19 @t21 (tptp.c_Groups_Ominus__class_Ominus @t19 @t18 @t14))))))) % 1.12/1.37 (assume @p924 (forall @t621 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t173 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t184 @t522)) @t1012))) % 1.12/1.37 (assume @p925 (forall (@list @t1017 @t1025 @t61 @t19) (=> (and @t1026 @t984) (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t61 @t1025) (forall (@list @t3 @t569) (= (tptp.c_Rings_Odvd__class_Odvd @t19 @t61 (tptp.c_Groups_Oplus__class_Oplus @t19 @t3 @t1017)) (tptp.c_Rings_Odvd__class_Odvd @t19 @t61 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t3 (tptp.hAPP (tptp.hAPP @t31 @t569) @t1025)) @t1017)))))))) % 1.12/1.37 (assume @p926 (forall @t1033 (=> @t308 (= @t1032 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1029 @t61))))) % 1.12/1.37 (assume @p927 (forall @t1033 (=> @t308 (= @t1032 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t57 @t1034))))) % 1.12/1.37 (assume @p928 (forall @t1033 (=> @t308 (= @t1035 (tptp.c_Orderings_Oord__class_Oless @t19 @t1029 @t61))))) % 1.12/1.37 (assume @p929 (forall @t1033 (=> @t308 (= @t1035 (tptp.c_Orderings_Oord__class_Oless @t19 @t57 @t1034))))) % 1.12/1.37 (assume @p930 (forall @t37 (=> (tptp.class_Rings_Oring__1 @t19) (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t217 @t630) (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Oplus__class_Oplus @t19 @t21 @t630)) (tptp.c_Groups_Ominus__class_Ominus @t19 @t21 @t630)))))) % 1.12/1.37 (assume @p931 (forall @t332 (=> @t331 (=> @t330 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t21 @t329) (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t328 @t18) @t14)))))) % 1.12/1.37 (assume @p932 (forall @t332 (=> @t331 (=> @t330 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t333 @t18) (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t21 @t322) @t14)))))) % 1.12/1.37 (assume @p933 (forall @t337 (=> @t331 (=> @t326 (=> @t330 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t325 @t336) (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t49 @t335) @t334))))))) % 1.12/1.37 (assume @p934 (forall @t160 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t1038) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t1037) (tptp.c_Groups_Oabs__class_Oabs @t19 @t1036)))))) % 1.12/1.37 (assume @p935 (forall @t155 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1040 @t220)))) % 1.12/1.37 (assume @p936 (forall (@list @t1041 @t62 @t81 @t19) (=> @t212 (= (tptp.c_Orderings_Oord__class_Oless @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t81 @t62)) @t1041) (and (tptp.c_Orderings_Oord__class_Oless @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t62 @t1041) @t81) (tptp.c_Orderings_Oord__class_Oless @t19 @t81 (tptp.c_Groups_Oplus__class_Oplus @t19 @t62 @t1041))))))) % 1.12/1.37 (assume @p937 (forall @t155 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1042 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t91 @t227))))) % 1.12/1.37 (assume @p938 (forall @t769 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t179 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t178 @t763)) @t767))) % 1.12/1.37 (assume @p939 (forall @t894 (=> @t1044 (=> @t893 (=> @t892 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t192 @t42) @t105))))))) % 1.12/1.37 (assume @p940 (forall @t950 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t949 @t18) @t184) @t1045))) % 1.12/1.37 (assume @p941 (forall (@list @t184 @t18 @t21) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t21 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t18 @t184)) @t184) @t1045))) % 1.12/1.37 (assume @p942 (forall @t127 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t889 @t887) @t105))))) % 1.12/1.37 (assume @p943 (forall @t127 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t889 @t46) @t105))))) % 1.12/1.37 (assume @p944 (forall @t127 (=> @t1044 (= @t1043 (tptp.c_Divides_Odiv__class_Omod @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t887) @t105))))) % 1.12/1.37 (assume @p945 (forall @t568 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t555 @t566) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t555 @t566) @t726)))) % 1.12/1.37 (assume @p946 (forall @t69 (=> @t1047 (=> @t1046 (= @t368 (tptp.c_Orderings_Oord__class_Oless @t19 @t57 @t61)))))) % 1.12/1.37 (assume @p947 (forall @t277 (=> @t1049 (= @t1048 @t67)))) % 1.12/1.37 (assume @p948 (forall @t277 (=> @t1050 (= @t67 @t1048)))) % 1.12/1.37 (assume @p949 (forall @t92 (=> @t1049 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t43) @t76)))) % 1.12/1.37 (assume @p950 (forall @t92 (=> @t1049 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t76) @t43)))) % 1.12/1.37 (assume @p951 (forall @t155 (=> @t221 (= @t1040 @t1052)))) % 1.12/1.37 (assume @p952 (forall @t779 (= (tptp.hAPP @t775 @t1053) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t777 @t776)))) % 1.12/1.37 (assume @p953 (forall @t102 (= (tptp.hAPP (tptp.hAPP @t739 @t1053) @t15) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t783 @t782)))) % 1.12/1.37 (assume @p954 (forall @t191 (=> @t35 (= (tptp.hAPP (tptp.hAPP @t31 @t1054) @t187) (tptp.c_Groups_Ominus__class_Ominus @t19 @t190 @t189))))) % 1.12/1.37 (assume @p955 (forall @t195 (=> @t35 (= (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Ominus__class_Ominus @t19 @t43 @t192)) @t46) (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t194))))) % 1.12/1.37 (assume @p956 (forall @t56 (=> @t35 (= (tptp.hAPP @t53 @t1054) (tptp.c_Groups_Ominus__class_Ominus @t19 @t55 @t54))))) % 1.12/1.37 (assume @p957 (forall @t48 (=> @t35 (= (tptp.hAPP @t44 (tptp.c_Groups_Ominus__class_Ominus @t19 @t46 @t42)) (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t45))))) % 1.12/1.37 (assume @p958 (forall @t127 (=> @t237 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t1039 @t105) (tptp.c_Groups_Ominus__class_Ominus @t19 @t239 @t238))))) % 1.12/1.37 (assume @p959 (forall @t191 (=> @t230 (= (tptp.c_Rings_Oinverse__class_Odivide @t19 @t1054 @t187) (tptp.c_Groups_Ominus__class_Ominus @t19 @t244 @t243))))) % 1.12/1.37 (assume @p960 (forall @t155 (=> @t25 (= @t1042 (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1051))))) % 1.12/1.37 (assume @p961 (forall @t492 (=> @t1026 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t19 @t1055) @t21) (tptp.c_Groups_Ominus__class_Ominus @t19 @t487 @t484))))) % 1.12/1.37 (assume @p962 (forall @t69 (=> @t1050 (=> @t1046 (= @t67 @t66))))) % 1.12/1.37 (assume @p963 (forall @t505 (=> @t1050 (= (tptp.c_Groups_Ominus__class_Ominus @t469 @t501 @t504) (tptp.c_Polynomial_OpCons @t19 @t1039 @t1055))))) % 1.12/1.37 (assume @p964 (forall @t155 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.c_Groups_Oabs__class_Oabs @t19 @t1056) @t1040)))) % 1.12/1.37 (assume @p965 (forall @t155 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1056 @t1040)))) % 1.12/1.37 (assume @p966 (forall @t155 (=> @t221 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1056 @t1052)))) % 1.12/1.37 (assume @p967 (forall @t1061 (=> @t35 (= @t1060 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t1058 @t1057) @t1059) (tptp.hAPP @t44 @t1057)))))) % 1.12/1.37 (assume @p968 (forall @t1061 (=> @t1062 (= @t1060 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t32 @t1057) @t1059))))) % 1.12/1.37 (assume @p969 (forall @t1033 (=> @t1062 (= @t1063 (= @t1029 @t61))))) % 1.12/1.37 (assume @p970 (forall @t1033 (=> @t1062 (= @t1063 (= @t57 @t1034))))) % 1.12/1.37 (assume @p971 (forall @t277 (=> @t1047 (= @t368 (tptp.c_Orderings_Oord__class_Oless @t19 @t1028 @t76))))) % 1.12/1.37 (assume @p972 (forall @t277 (=> @t1047 (= @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t1028 @t76))))) % 1.12/1.37 (assume @p973 (forall @t69 (=> @t1047 (=> @t1046 (= @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t57 @t61)))))) % 1.12/1.37 (assume @p974 (forall @t155 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1064 @t1042)))) % 1.12/1.37 (assume @p975 (forall @t155 (=> @t1049 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t159 @t46) @t43)))) % 1.12/1.37 (assume @p976 (forall @t155 (=> @t1049 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t1039 @t46) @t43)))) % 1.12/1.37 (assume @p977 (forall @t155 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t1064) @t1042)))) % 1.12/1.37 (assume @p978 (forall @t539 (= @t1022 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t184 @t1013)))) % 1.12/1.37 (assume @p979 (forall @t534 (= @t1013 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t184 (tptp.hAPP (tptp.hAPP @t739 @t1021) @t522))))) % 1.12/1.37 (assume @p980 (forall @t160 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1038) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1037) (tptp.c_RealVector_Onorm__class_Onorm @t19 @t1036)))))) % 1.12/1.37 (assume @p981 (forall (@list @t21 @t14 @t103) (=> @t1024 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t14 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t1023))))) % 1.12/1.37 (assume @p982 (forall (@list @t1065 @t103 @t105 @t46 @t43 @t19) (=> (tptp.class_RealVector_Oreal__field @t19) (= (tptp.c_Rings_Oinverse__class_Odivide @t19 (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t432) @t1065) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t44 (tptp.c_Rings_Oinverse__class_Odivide @t19 @t1036 @t1065)) (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Rings_Oinverse__class_Odivide @t19 @t1037 @t1065)) @t103)))))) % 1.12/1.37 (assume @p983 (forall (@list @t830 @t1066 @t19 @t110) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t110) @t126) (=> (forall @t567 (=> @t1068 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t110 (tptp.c_Groups_Ominus__class_Ominus @t110 @t1067 @t832)) @t636))) (forall @t567 (=> @t1068 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t110 @t832) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t636 (tptp.c_RealVector_Onorm__class_Onorm @t110 @t1067))))))))) % 1.12/1.37 (assume @p984 (forall @t1072 (=> @t1071 (tptp.class_Groups_Ocancel__comm__monoid__add @t1070)))) % 1.12/1.37 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.37 (assume @p987 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p989 (forall @t1075 (=> (tptp.class_Orderings_Opreorder @t1069) (tptp.class_Orderings_Opreorder @t1074)))) % 1.12/1.37 (assume @p990 (forall @t1075 (=> (tptp.class_Orderings_Oorder @t1069) (tptp.class_Orderings_Oorder @t1074)))) % 1.12/1.37 (assume @p991 (forall @t1075 (=> (tptp.class_Orderings_Oord @t1069) (tptp.class_Orderings_Oord @t1074)))) % 1.12/1.37 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p999 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1000 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1001 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1002 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1003 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1004 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1005 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1006 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1007 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1008 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1009 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1010 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1011 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1012 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1013 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1015 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1016 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1017 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1018 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1019 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1020 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1021 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1022 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1023 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1024 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1025 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1026 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1027 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1028 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1029 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1030 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1031 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1032 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1033 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1034 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1035 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1036 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1037 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1038 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1039 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1040 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1041 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1042 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1043 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1044 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1045 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1046 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1047 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1048 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1049 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1050 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1051 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1052 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1053 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1054 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1056 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1057 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1058 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1059 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1060 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1061 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1062 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1063 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1064 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1065 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1066 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1067 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1068 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1071 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1072 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1073 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1074 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1075 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1076 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1077 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1078 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1079 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1080 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1081 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1082 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1083 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.12/1.38 (assume @p1084 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.38 (assume @p1085 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.38 (assume @p1086 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.12/1.38 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.12/1.38 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.12/1.38 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.12/1.38 (assume @p1090 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1091 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1092 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1093 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1094 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1095 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1096 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1097 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1098 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1101 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1102 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1103 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1104 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1105 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1106 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1107 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1108 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1109 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1110 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1111 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1112 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1113 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1115 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1116 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1117 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1118 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1119 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1120 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1121 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1122 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1123 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1124 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1125 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1126 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1127 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1128 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1129 @t1076) % 1.12/1.38 (assume @p1130 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1131 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1132 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1133 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1134 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1135 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1136 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1137 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1138 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1139 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1140 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1141 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1142 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1143 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1144 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1145 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1146 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1147 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1148 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1149 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1150 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1151 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1152 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1153 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1154 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1155 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1156 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1157 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.12/1.38 (assume @p1158 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1159 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1160 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1161 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1162 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1163 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1164 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1165 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1166 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1167 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1168 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1169 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1170 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1171 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1172 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1173 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1174 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1175 @t1077) % 1.12/1.38 (assume @p1176 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1177 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1178 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1179 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1180 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1181 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1182 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1183 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1184 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1185 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1186 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1187 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1188 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1189 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1190 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1191 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1192 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1193 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1194 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1195 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1196 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1197 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1198 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (assume @p1199 (forall @t1072 (=> @t1078 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1070)))) % 1.12/1.38 (assume @p1200 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1070)))) % 1.12/1.38 (assume @p1201 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1070)))) % 1.12/1.38 (assume @p1202 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1070)))) % 1.12/1.38 (assume @p1203 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__1__strict @t1070)))) % 1.12/1.38 (assume @p1204 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__strict @t1070)))) % 1.12/1.38 (assume @p1205 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__ab__semigroup__add @t1070)))) % 1.12/1.38 (assume @p1206 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__ab__group__add__abs @t1070)))) % 1.12/1.38 (assume @p1207 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__comm__monoid__add @t1070)))) % 1.12/1.38 (assume @p1208 (forall @t1072 (=> @t1079 (tptp.class_Groups_Olinordered__ab__group__add @t1070)))) % 1.12/1.38 (assume @p1209 (forall @t1072 (=> @t1071 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1070)))) % 1.12/1.38 (assume @p1210 (forall @t1072 (=> @t1078 (tptp.class_Rings_Oring__1__no__zero__divisors @t1070)))) % 1.12/1.38 (assume @p1211 (forall @t1072 (=> @t1079 (tptp.class_Rings_Oordered__cancel__semiring @t1070)))) % 1.12/1.38 (assume @p1212 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__ring__strict @t1070)))) % 1.12/1.38 (assume @p1213 (forall @t1072 (=> @t1078 (tptp.class_Rings_Oring__no__zero__divisors @t1070)))) % 1.12/1.38 (assume @p1214 (forall @t1072 (=> @t1079 (tptp.class_Rings_Oordered__comm__semiring @t1070)))) % 1.12/1.38 (assume @p1215 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__semiring__1 @t1070)))) % 1.12/1.38 (assume @p1216 (forall @t1072 (=> @t1079 (tptp.class_Groups_Oordered__ab__group__add @t1070)))) % 1.12/1.38 (assume @p1217 (forall @t1072 (=> @t1071 (tptp.class_Groups_Ocancel__semigroup__add @t1070)))) % 1.12/1.38 (assume @p1218 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__semiring @t1070)))) % 1.12/1.38 (assume @p1219 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__semidom @t1070)))) % 1.12/1.38 (assume @p1220 (forall @t1072 (=> @t1080 (tptp.class_Groups_Oab__semigroup__mult @t1070)))) % 1.12/1.38 (assume @p1221 (forall @t1072 (=> @t1081 (tptp.class_Groups_Ocomm__monoid__mult @t1070)))) % 1.12/1.38 (assume @p1222 (forall @t1072 (=> @t1082 (tptp.class_Groups_Oab__semigroup__add @t1070)))) % 1.12/1.38 (assume @p1223 (forall @t1072 (=> @t1079 (tptp.class_Rings_Oordered__semiring @t1070)))) % 1.12/1.38 (assume @p1224 (forall @t1072 (=> @t1079 (tptp.class_Rings_Oordered__ring__abs @t1070)))) % 1.12/1.38 (assume @p1225 (forall @t1072 (=> @t1078 (tptp.class_Rings_Ono__zero__divisors @t1070)))) % 1.12/1.38 (assume @p1226 (forall @t1072 (=> @t1082 (tptp.class_Groups_Ocomm__monoid__add @t1070)))) % 1.12/1.38 (assume @p1227 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__ring @t1070)))) % 1.12/1.38 (assume @p1228 (forall @t1072 (=> @t1079 (tptp.class_Rings_Olinordered__idom @t1070)))) % 1.12/1.38 (assume @p1229 (forall @t1072 (=> @t1081 (tptp.class_Rings_Ocomm__semiring__1 @t1070)))) % 1.12/1.38 (assume @p1230 (forall @t1072 (=> @t1080 (tptp.class_Rings_Ocomm__semiring__0 @t1070)))) % 1.12/1.38 (assume @p1231 (forall @t1072 (=> @t1083 (tptp.class_Divides_Osemiring__div @t1070)))) % 1.12/1.38 (assume @p1232 (forall @t1072 (=> @t1080 (tptp.class_Rings_Ocomm__semiring @t1070)))) % 1.12/1.38 (assume @p1233 (forall @t1072 (=> @t1084 (tptp.class_Groups_Oab__group__add @t1070)))) % 1.12/1.38 (assume @p1234 (forall @t1072 (=> @t1081 (tptp.class_Rings_Ozero__neq__one @t1070)))) % 1.12/1.38 (assume @p1235 (forall @t1072 (=> @t1079 (tptp.class_Rings_Oordered__ring @t1070)))) % 1.12/1.38 (assume @p1236 (forall @t1072 (=> @t1079 (tptp.class_Orderings_Opreorder @t1070)))) % 1.12/1.38 (assume @p1237 (forall @t1072 (=> @t1079 (tptp.class_Orderings_Olinorder @t1070)))) % 1.12/1.38 (assume @p1238 (forall @t1072 (=> @t1081 (tptp.class_Groups_Omonoid__mult @t1070)))) % 1.12/1.38 (assume @p1239 (forall @t1072 (=> @t1085 (tptp.class_Rings_Ocomm__ring__1 @t1070)))) % 1.12/1.38 (assume @p1240 (forall @t1072 (=> @t1082 (tptp.class_Groups_Omonoid__add @t1070)))) % 1.12/1.38 (assume @p1241 (forall @t1072 (=> @t1080 (tptp.class_Rings_Osemiring__0 @t1070)))) % 1.12/1.38 (assume @p1242 (forall @t1072 (=> @t1084 (tptp.class_Groups_Ogroup__add @t1070)))) % 1.12/1.38 (assume @p1243 (forall @t1072 (=> @t1083 (tptp.class_Divides_Oring__div @t1070)))) % 1.12/1.38 (assume @p1244 (forall @t1072 (=> @t1080 (tptp.class_Rings_Omult__zero @t1070)))) % 1.12/1.38 (assume @p1245 (forall @t1072 (=> @t1086 (tptp.class_Rings_Ocomm__ring @t1070)))) % 1.12/1.38 (assume @p1246 (forall @t1072 (=> @t1079 (tptp.class_Orderings_Oorder @t1070)))) % 1.12/1.38 (assume @p1247 (forall @t1072 (=> @t1079 (tptp.class_Int_Oring__char__0 @t1070)))) % 1.12/1.38 (assume @p1248 (forall @t1072 (=> @t1080 (tptp.class_Rings_Osemiring @t1070)))) % 1.12/1.38 (assume @p1249 (forall @t1072 (=> @t1079 (tptp.class_Orderings_Oord @t1070)))) % 1.12/1.38 (assume @p1250 (forall @t1072 (=> @t1085 (tptp.class_Rings_Oring__1 @t1070)))) % 1.12/1.38 (assume @p1251 (forall @t1072 (=> @t1081 (tptp.class_Power_Opower @t1070)))) % 1.12/1.38 (assume @p1252 (forall @t1072 (=> (tptp.class_Groups_Ozero @t1069) (tptp.class_Groups_Ozero @t1070)))) % 1.12/1.38 (assume @p1253 (forall @t1072 (=> @t1086 (tptp.class_Rings_Oring @t1070)))) % 1.12/1.38 (assume @p1254 (forall @t1072 (=> @t1078 (tptp.class_Rings_Oidom @t1070)))) % 1.12/1.38 (assume @p1255 (forall @t1072 (=> @t1081 (tptp.class_Groups_Oone @t1070)))) % 1.12/1.38 (assume @p1256 (forall @t1072 (=> @t1081 (tptp.class_Rings_Odvd @t1070)))) % 1.12/1.38 (assume @p1257 (forall @t235 (or (not @t1087) @t130))) % 1.12/1.38 (assume @p1258 (forall @t235 (or @t360 @t1087))) % 1.12/1.38 (assume @p1259 (not @t1091)) % 1.12/1.38 (assume @p1260 true) % 1.12/1.38 (step @p1261 :rule evaluate :args ((= false true))) % 1.12/1.38 (step @p1262 :rule true_intro :premises (@p2)) % 1.12/1.38 (step @p1263 :rule bool-impl-elim :args (@t50 @t167)) % 1.12/1.38 (step @p1264 :rule cong :premises (@p1263) :args (@t169)) % 1.12/1.38 (step @p1265 :rule eq_resolve :premises (@p65 @p1264)) % 1.12/1.38 (step @p1266 :rule instantiate :premises (@p1265) :args ((@list @t7 @t11 tptp.tc_RealDef_Oreal))) % 1.12/1.38 (step @p1267 :rule cnf_or_pos :args (@t1094)) % 1.12/1.38 (step @p1268 :rule reordering :premises (@p1267) :args ((or @t1093 @t1092 (not @t1094)))) % 1.12/1.38 (step @p1269 :rule chain_m_resolution :premises (@p1268 @p1129 @p1266) :args (@t1092 @t1095 (@list @t1076 @t1094))) % 1.12/1.38 (step @p1270 :rule symm :premises (@p1269)) % 1.12/1.38 (step @p1271 :rule eq-symm :args (@t1088 @t10)) % 1.12/1.38 (step @p1272 :rule refl :args (@t1096)) % 1.12/1.38 (step @p1273 :rule nary_cong :premises (@p1272 @p1271) :args (@t1097)) % 1.12/1.38 (step @p1274 :rule refl :args (@t1098)) % 1.12/1.38 (step @p1275 :rule cong :premises (@p1274 @p1273) :args ((=> @t1098 @t1097))) % 1.12/1.38 (assume-push @p1303 @t1098) % 1.12/1.38 (step @p1277 :rule instantiate :premises (@p1265) :args ((@list @t9 tptp.v_aa____ tptp.tc_Complex_Ocomplex))) % 1.12/1.38 (step-pop @p1304 :rule scope :premises (@p1277)) % 1.12/1.38 (step @p1278 :rule process_scope :premises (@p1304) :args (@t1097)) % 1.12/1.38 (step @p1280 :rule eq_resolve :premises (@p1278 @p1275)) % 1.12/1.38 (step @p1281 :rule implies_elim :premises (@p1280)) % 1.12/1.38 (step @p1282 :rule chain_m_resolution :premises (@p1281 @p1265) :args (@t1100 (@list false) (@list @t1098))) % 1.12/1.38 (step @p1283 :rule cnf_or_pos :args (@t1100)) % 1.12/1.38 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t1096 @t1099 (not @t1100)))) % 1.12/1.38 (step @p1285 :rule chain_m_resolution :premises (@p1284 @p1175 @p1282) :args (@t1099 @t1095 (@list @t1077 @t1100))) % 1.12/1.38 (step @p1286 :rule symm :premises (@p1285)) % 1.12/1.38 (step @p1287 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.12/1.38 (step @p1288 :rule cong :premises (@p1287 @p1286) :args (@t1089)) % 1.12/1.38 (step @p1289 :rule refl :args (@t7)) % 1.12/1.38 (step @p1290 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.12/1.38 (step @p1291 :rule cong :premises (@p1290 @p1289 @p1288) :args (@t1101)) % 1.12/1.38 (step @p1292 :rule instantiate :premises (@p1265) :args ((@list @t7 @t1089 tptp.tc_RealDef_Oreal))) % 1.12/1.38 (step @p1293 :rule cnf_or_pos :args (@t1103)) % 1.12/1.38 (step @p1294 :rule reordering :premises (@p1293) :args ((or @t1093 @t1102 (not @t1103)))) % 1.12/1.38 (step @p1295 :rule chain_m_resolution :premises (@p1294 @p1129 @p1292) :args (@t1102 @t1095 (@list @t1076 @t1103))) % 1.12/1.38 (step @p1296 :rule trans :premises (@p1295 @p1291 @p1270)) % 1.12/1.38 (step @p1297 :rule refl :args (@t13)) % 1.12/1.38 (step @p1298 :rule cong :premises (@p1290 @p1297 @p1296) :args (@t1091)) % 1.12/1.38 (step @p1299 :rule false_intro :premises (@p1259)) % 1.12/1.38 (step @p1300 :rule symm :premises (@p1299)) % 1.12/1.38 (step @p1301 :rule trans :premises (@p1300 @p1298 @p1262)) % 1.12/1.38 (step @p1302 false :rule eq_resolve :premises (@p1301 @p1261)) % 1.12/1.38 ) % 1.12/1.38 % SZS output end Proof % 1.12/1.38 % cvc5 exiting %------------------------------------------------------------------------------