%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW220+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:04:32 AM UTC 2026 % Result : Theorem 0.93s 1.13s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW220+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:41:09 EDT 2026 % 0.15/0.34 % CPUTime : % 0.44/0.75 %----Proving TF0_NAR, FOF, or CNF % 0.93/1.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.93/1.13 % SZS status Theorem % 0.93/1.13 % SZS output start Proof % 0.93/1.13 ( % 0.93/1.13 (declare-sort $$unsorted 0) % 0.93/1.13 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.93/1.13 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Complex_Oii $$unsorted) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.v_r $$unsorted) % 0.93/1.13 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.93/1.13 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.93/1.13 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.93/1.13 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_SEQ_Omonoseq (-> $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.93/1.13 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.v_thesis____ Bool) % 0.93/1.13 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_RealDef_Opositive (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.13 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.93/1.13 (declare-const tptp.c_Int_Onat $$unsorted) % 0.93/1.13 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.13 (define @t1 () (@var "V_ga_2" $$unsorted)) % 0.93/1.13 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.93/1.13 (define @t3 () (@var "B_x" $$unsorted)) % 0.93/1.13 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.93/1.13 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.93/1.13 (define @t6 () (@list @t3)) % 0.93/1.13 (define @t7 () (@var "T_a" $$unsorted)) % 0.93/1.13 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 0.93/1.13 (define @t9 () (@var "V_x_2" $$unsorted)) % 0.93/1.13 (define @t10 () (= @t9 @t8)) % 0.93/1.13 (define @t11 () (not @t10)) % 0.93/1.13 (define @t12 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t9)) % 0.93/1.13 (define @t13 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.93/1.13 (define @t14 () (tptp.class_RealVector_Oreal__normed__vector @t7)) % 0.93/1.13 (define @t15 () (@list @t9 @t7)) % 0.93/1.13 (define @t16 () (@var "B_e" $$unsorted)) % 0.93/1.13 (define @t17 () (@var "B_z" $$unsorted)) % 0.93/1.13 (define @t18 () (@var "B_n" $$unsorted)) % 0.93/1.13 (define @t19 () (@var "B_f" $$unsorted)) % 0.93/1.13 (define @t20 () (tptp.v_g____ (tptp.hAPP @t19 @t18))) % 0.93/1.13 (define @t21 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t20 @t17)) @t16)) % 0.93/1.13 (define @t22 () (@var "B_N" $$unsorted)) % 0.93/1.13 (define @t23 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t22) @t18))) % 0.93/1.13 (define @t24 () (@list @t18)) % 0.93/1.13 (define @t25 () (forall @t24 (=> @t23 @t21))) % 0.93/1.13 (define @t26 () (@list @t22)) % 0.93/1.13 (define @t27 () (exists @t26 @t25)) % 0.93/1.13 (define @t28 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t16)) % 0.93/1.13 (define @t29 () (=> @t28 @t27)) % 0.93/1.13 (define @t30 () (@list @t16)) % 0.93/1.13 (define @t31 () (forall @t30 @t29)) % 0.93/1.13 (define @t32 () (@list @t17)) % 0.93/1.13 (define @t33 () (exists @t32 @t31)) % 0.93/1.13 (define @t34 () (tptp.c_SEQ_Osubseq @t19)) % 0.93/1.13 (define @t35 () (and @t34 @t33)) % 0.93/1.13 (define @t36 () (@list @t19)) % 0.93/1.13 (define @t37 () (exists @t36 @t35)) % 0.93/1.13 (define @t38 () (@var "V_x" $$unsorted)) % 0.93/1.13 (define @t39 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t38)) % 0.93/1.13 (define @t40 () (@list @t38 @t7)) % 0.93/1.13 (define @t41 () (@list @t7)) % 0.93/1.13 (define @t42 () (@var "V_b_2" $$unsorted)) % 0.93/1.13 (define @t43 () (@var "V_a_2" $$unsorted)) % 0.93/1.13 (define @t44 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t43 @t42)) % 0.93/1.13 (define @t45 () (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t42)) % 0.93/1.13 (define @t46 () (tptp.class_Groups_Oordered__ab__group__add @t7)) % 0.93/1.13 (define @t47 () (@list @t42 @t43 @t7)) % 0.93/1.13 (define @t48 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t43)) % 0.93/1.13 (define @t49 () (tptp.hBOOL (tptp.hAPP @t48 @t42))) % 0.93/1.13 (define @t50 () (@var "V_n_2" $$unsorted)) % 0.93/1.13 (define @t51 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50)) % 0.93/1.13 (define @t52 () (tptp.c_SEQ_Osubseq @t2)) % 0.93/1.13 (define @t53 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t38)) % 0.93/1.13 (define @t54 () (tptp.class_Orderings_Opreorder @t7)) % 0.93/1.13 (define @t55 () (@var "V_a" $$unsorted)) % 0.93/1.13 (define @t56 () (@var "V_b" $$unsorted)) % 0.93/1.13 (define @t57 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t56 @t55)) % 0.93/1.13 (define @t58 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t55 @t56)) % 0.93/1.13 (define @t59 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t58)) % 0.93/1.13 (define @t60 () (@list @t56 @t55 @t7)) % 0.93/1.13 (define @t61 () (@var "V_d_2" $$unsorted)) % 0.93/1.13 (define @t62 () (@var "V_c_2" $$unsorted)) % 0.93/1.13 (define @t63 () (= @t44 (tptp.c_Groups_Ominus__class_Ominus @t7 @t62 @t61))) % 0.93/1.13 (define @t64 () (@list @t61 @t62 @t42 @t43 @t7)) % 0.93/1.13 (define @t65 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t62)) % 0.93/1.13 (define @t66 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13)) % 0.93/1.13 (define @t67 () (tptp.hAPP @t2 @t18)) % 0.93/1.13 (define @t68 () (@var "B_m" $$unsorted)) % 0.93/1.13 (define @t69 () (@list @t68 @t18)) % 0.93/1.13 (define @t70 () (@list @t2)) % 0.93/1.13 (define @t71 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t56)) % 0.93/1.13 (define @t72 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t55)) % 0.93/1.13 (define @t73 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t72 @t71)) % 0.93/1.13 (define @t74 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t73)) % 0.93/1.13 (define @t75 () (tptp.class_Groups_Ozero @t7)) % 0.93/1.13 (define @t76 () (@var "V_y" $$unsorted)) % 0.93/1.13 (define @t77 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t76)) % 0.93/1.13 (define @t78 () (tptp.hBOOL (tptp.hAPP @t77 @t38))) % 0.93/1.13 (define @t79 () (tptp.hBOOL (tptp.hAPP @t53 @t76))) % 0.93/1.13 (define @t80 () (tptp.class_Orderings_Olinorder @t7)) % 0.93/1.13 (define @t81 () (@list @t76 @t38 @t7)) % 0.93/1.13 (define @t82 () (@var "T_b" $$unsorted)) % 0.93/1.13 (define @t83 () (tptp.tc_fun @t7 @t82)) % 0.93/1.13 (define @t84 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t83 @t2) @t1))) % 0.93/1.13 (define @t85 () (tptp.class_Orderings_Oord @t82)) % 0.93/1.13 (define @t86 () (@var "V_z" $$unsorted)) % 0.93/1.13 (define @t87 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t86)) % 0.93/1.13 (define @t88 () (tptp.hBOOL (tptp.hAPP @t87 @t76))) % 0.93/1.13 (define @t89 () (tptp.class_Orderings_Oorder @t7)) % 0.93/1.13 (define @t90 () (@list @t86 @t38 @t76 @t7)) % 0.93/1.13 (define @t91 () (= @t38 @t76)) % 0.93/1.13 (define @t92 () (@list @t38 @t76 @t7)) % 0.93/1.13 (define @t93 () (tptp.hBOOL (tptp.hAPP @t77 @t86))) % 0.93/1.13 (define @t94 () (@list @t86 @t76 @t38 @t7)) % 0.93/1.13 (define @t95 () (@var "V_c" $$unsorted)) % 0.93/1.13 (define @t96 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t95)) % 0.93/1.13 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t55))) % 0.93/1.13 (define @t98 () (= @t56 @t95)) % 0.93/1.13 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t56)) % 0.93/1.13 (define @t100 () (tptp.hBOOL (tptp.hAPP @t99 @t55))) % 0.93/1.13 (define @t101 () (@list @t95 @t55 @t56 @t7)) % 0.93/1.13 (define @t102 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t55)) % 0.93/1.13 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t95))) % 0.93/1.13 (define @t104 () (tptp.hBOOL (tptp.hAPP @t102 @t56))) % 0.93/1.13 (define @t105 () (tptp.class_Orderings_Oord @t7)) % 0.93/1.13 (define @t106 () (@list @t95 @t56 @t55 @t7)) % 0.93/1.13 (define @t107 () (= @t55 @t56)) % 0.93/1.13 (define @t108 () (tptp.hBOOL (tptp.hAPP @t99 @t95))) % 0.93/1.13 (define @t109 () (@var "V_y_2" $$unsorted)) % 0.93/1.13 (define @t110 () (= @t9 @t109)) % 0.93/1.13 (define @t111 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t9) @t109))) % 0.93/1.13 (define @t112 () (= @t111 @t110)) % 0.93/1.13 (define @t113 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t109) @t9))) % 0.93/1.13 (define @t114 () (@list @t9 @t109 @t7)) % 0.93/1.13 (define @t115 () (@list @t109 @t9 @t7)) % 0.93/1.13 (define @t116 () (@list @t1 @t2 @t7 @t82)) % 0.93/1.13 (define @t117 () (tptp.c_Orderings_Oord__class_Oless @t7 @t76 @t38)) % 0.93/1.13 (define @t118 () (not @t91)) % 0.93/1.13 (define @t119 () (tptp.c_Orderings_Oord__class_Oless @t7 @t38 @t76)) % 0.93/1.13 (define @t120 () (not @t119)) % 0.93/1.13 (define @t121 () (tptp.c_Orderings_Oord__class_Oless @t7 @t86 @t38)) % 0.93/1.13 (define @t122 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t86 @t76) @t121)) % 0.93/1.13 (define @t123 () (tptp.c_Orderings_Oord__class_Oless @t7 @t38 @t86)) % 0.93/1.13 (define @t124 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t76 @t86) @t123)) % 0.93/1.13 (define @t125 () (tptp.c_Orderings_Oord__class_Oless @t7 @t95 @t55)) % 0.93/1.13 (define @t126 () (tptp.c_Orderings_Oord__class_Oless @t7 @t56 @t55)) % 0.93/1.13 (define @t127 () (tptp.c_Orderings_Oord__class_Oless @t7 @t55 @t95)) % 0.93/1.13 (define @t128 () (tptp.c_Orderings_Oord__class_Oless @t7 @t55 @t56)) % 0.93/1.13 (define @t129 () (tptp.c_Orderings_Oord__class_Oless @t7 @t56 @t95)) % 0.93/1.13 (define @t130 () (@list @t55 @t56 @t7)) % 0.93/1.13 (define @t131 () (=> @t118 (=> @t120 @t117))) % 0.93/1.13 (define @t132 () (tptp.c_Orderings_Oord__class_Oless @t7 @t9 @t109)) % 0.93/1.13 (define @t133 () (not @t132)) % 0.93/1.13 (define @t134 () (= @t133 @t110)) % 0.93/1.13 (define @t135 () (tptp.c_Orderings_Oord__class_Oless @t7 @t109 @t9)) % 0.93/1.13 (define @t136 () (not @t110)) % 0.93/1.13 (define @t137 () (= @t62 @t61)) % 0.93/1.13 (define @t138 () (= @t43 @t42)) % 0.93/1.13 (define @t139 () (tptp.class_Groups_Oab__group__add @t7)) % 0.93/1.13 (define @t140 () (not @t107)) % 0.93/1.13 (define @t141 () (= @t44 @t8)) % 0.93/1.13 (define @t142 () (tptp.class_Groups_Ogroup__add @t7)) % 0.93/1.13 (define @t143 () (@list @t55 @t7)) % 0.93/1.13 (define @t144 () (@var "V_n" $$unsorted)) % 0.93/1.13 (define @t145 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.93/1.13 (define @t146 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145)) % 0.93/1.13 (define @t147 () (@list @t144)) % 0.93/1.13 (define @t148 () (@var "V_X_2" $$unsorted)) % 0.93/1.13 (define @t149 () (tptp.hAPP @t148 @t68)) % 0.93/1.13 (define @t150 () (tptp.hAPP @t148 @t18)) % 0.93/1.13 (define @t151 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t150)) % 0.93/1.13 (define @t152 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68) @t18))) % 0.93/1.13 (define @t153 () (forall @t69 (=> @t152 (tptp.hBOOL (tptp.hAPP @t151 @t149))))) % 0.93/1.13 (define @t154 () (tptp.c_SEQ_Odecseq @t7 @t148)) % 0.93/1.13 (define @t155 () (@list @t148 @t7)) % 0.93/1.13 (define @t156 () (forall @t69 (=> @t152 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t149) @t150))))) % 0.93/1.13 (define @t157 () (tptp.c_SEQ_Oincseq @t7 @t148)) % 0.93/1.13 (define @t158 () (@var "B_K" $$unsorted)) % 0.93/1.13 (define @t159 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t150)) % 0.93/1.13 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t159)) % 0.93/1.13 (define @t161 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t158)) % 0.93/1.13 (define @t162 () (@list @t158)) % 0.93/1.13 (define @t163 () (exists @t162 (and @t161 (forall @t24 (tptp.hBOOL (tptp.hAPP @t160 @t158)))))) % 0.93/1.13 (define @t164 () (tptp.c_SEQ_OBseq @t7 @t148)) % 0.93/1.13 (define @t165 () (tptp.c_SEQ_Omonoseq @t7 @t148)) % 0.93/1.13 (define @t166 () (@var "V_m_2" $$unsorted)) % 0.93/1.13 (define @t167 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t166)) % 0.93/1.13 (define @t168 () (tptp.hBOOL (tptp.hAPP @t167 @t50))) % 0.93/1.13 (define @t169 () (@list @t50 @t166)) % 0.93/1.13 (define @t170 () (@var "V_m" $$unsorted)) % 0.93/1.13 (define @t171 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t144)) % 0.93/1.13 (define @t172 () (= @t171 @t145)) % 0.93/1.13 (define @t173 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170)) % 0.93/1.13 (define @t174 () (tptp.hBOOL (tptp.hAPP @t173 @t144))) % 0.93/1.13 (define @t175 () (@list @t144 @t170)) % 0.93/1.13 (define @t176 () (@list @t95 @t56 @t55)) % 0.93/1.13 (define @t177 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 @t50)) % 0.93/1.13 (define @t178 () (@var "V_k_2" $$unsorted)) % 0.93/1.13 (define @t179 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t178)) % 0.93/1.13 (define @t180 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t166 @t178)) % 0.93/1.13 (define @t181 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t178)) % 0.93/1.13 (define @t182 () (tptp.hBOOL (tptp.hAPP @t181 @t50))) % 0.93/1.13 (define @t183 () (tptp.hBOOL (tptp.hAPP @t181 @t166))) % 0.93/1.13 (define @t184 () (@list @t50 @t166 @t178)) % 0.93/1.13 (define @t185 () (@var "V_k" $$unsorted)) % 0.93/1.13 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t185)) % 0.93/1.13 (define @t187 () (tptp.hBOOL (tptp.hAPP @t186 @t144))) % 0.93/1.13 (define @t188 () (@list @t144 @t170 @t185)) % 0.93/1.13 (define @t189 () (= @t166 @t50)) % 0.93/1.13 (define @t190 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t50)) % 0.93/1.13 (define @t191 () (= @t50 @t145)) % 0.93/1.13 (define @t192 () (not @t191)) % 0.93/1.13 (define @t193 () (@list @t50)) % 0.93/1.13 (define @t194 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t166)) % 0.93/1.13 (define @t195 () (not @t189)) % 0.93/1.13 (define @t196 () (@list @t166 @t50)) % 0.93/1.13 (define @t197 () (@list @t170)) % 0.93/1.13 (define @t198 () (@var "V_j" $$unsorted)) % 0.93/1.13 (define @t199 () (@var "V_i" $$unsorted)) % 0.93/1.13 (define @t200 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t199 @t198)) % 0.93/1.13 (define @t201 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t200 @t185)) % 0.93/1.13 (define @t202 () (@list @t185 @t198 @t199)) % 0.93/1.13 (define @t203 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t76)) % 0.93/1.13 (define @t204 () (@list @t76 @t38)) % 0.93/1.13 (define @t205 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t170)) % 0.93/1.13 (define @t206 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t144)) % 0.93/1.13 (define @t207 () (@list @t170 @t144)) % 0.93/1.13 (define @t208 () (= @t144 @t145)) % 0.93/1.13 (define @t209 () (not @t208)) % 0.93/1.13 (define @t210 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t144)) % 0.93/1.13 (define @t211 () (= @t170 @t144)) % 0.93/1.13 (define @t212 () (not @t211)) % 0.93/1.13 (define @t213 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t170)) % 0.93/1.13 (define @t214 () (@var "V_t" $$unsorted)) % 0.93/1.13 (define @t215 () (@var "V_s" $$unsorted)) % 0.93/1.13 (define @t216 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t185)) % 0.93/1.13 (define @t217 () (@var "V_l" $$unsorted)) % 0.93/1.13 (define @t218 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t217 @t170)) % 0.93/1.13 (define @t219 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t217 @t144)) % 0.93/1.13 (define @t220 () (@list @t217 @t144 @t170)) % 0.93/1.13 (define @t221 () (@var "V_P_2" $$unsorted)) % 0.93/1.13 (define @t222 () (tptp.hAPP @t221 @t50)) % 0.93/1.13 (define @t223 () (tptp.hBOOL (tptp.hAPP @t222 @t166))) % 0.93/1.13 (define @t224 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t144)) % 0.93/1.13 (define @t225 () (tptp.hBOOL (tptp.hAPP @t224 @t170))) % 0.93/1.13 (define @t226 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t199)) % 0.93/1.13 (define @t227 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198)) % 0.93/1.13 (define @t228 () (tptp.hBOOL (tptp.hAPP @t226 @t198))) % 0.93/1.13 (define @t229 () (or @t177 @t189)) % 0.93/1.13 (define @t230 () (@list @t144 @t199)) % 0.93/1.13 (define @t231 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t9 @t109)) % 0.93/1.13 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t9)) % 0.93/1.13 (define @t233 () (tptp.hBOOL (tptp.hAPP @t232 @t109))) % 0.93/1.13 (define @t234 () (@list @t109 @t9)) % 0.93/1.13 (define @t235 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38)) % 0.93/1.13 (define @t236 () (tptp.hBOOL (tptp.hAPP @t235 @t76))) % 0.93/1.13 (define @t237 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t109)) % 0.93/1.13 (define @t238 () (@var "V_K_2" $$unsorted)) % 0.93/1.13 (define @t239 () (tptp.hBOOL (tptp.hAPP @t160 @t238))) % 0.93/1.13 (define @t240 () (=> (forall @t24 @t239) @t164)) % 0.93/1.13 (define @t241 () (@var "V_N_2" $$unsorted)) % 0.93/1.13 (define @t242 () (tptp.tc_Polynomial_Opoly @t7)) % 0.93/1.13 (define @t243 () (tptp.c_Groups_Ozero__class_Ozero @t242)) % 0.93/1.13 (define @t244 () (@var "V_pa_2" $$unsorted)) % 0.93/1.13 (define @t245 () (@var "V_w" $$unsorted)) % 0.93/1.13 (define @t246 () (= @t86 @t245)) % 0.93/1.13 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t245)) % 0.93/1.13 (define @t248 () (tptp.hBOOL (tptp.hAPP @t247 @t86))) % 0.93/1.13 (define @t249 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t86) @t245))) % 0.93/1.13 (define @t250 () (@list @t245 @t86)) % 0.93/1.13 (define @t251 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t199)) % 0.93/1.13 (define @t252 () (@list @t245)) % 0.93/1.13 (define @t253 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat)) % 0.93/1.13 (define @t254 () (tptp.hAPP @t253 @t50)) % 0.93/1.13 (define @t255 () (@var "B_k" $$unsorted)) % 0.93/1.13 (define @t256 () (@var "B_i" $$unsorted)) % 0.93/1.13 (define @t257 () (tptp.hBOOL (tptp.hAPP @t221 @t256))) % 0.93/1.13 (define @t258 () (@list @t256)) % 0.93/1.13 (define @t259 () (@list @t255)) % 0.93/1.13 (define @t260 () (tptp.hBOOL (tptp.hAPP @t221 @t145))) % 0.93/1.13 (define @t261 () (not @t260)) % 0.93/1.13 (define @t262 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t7)) % 0.93/1.13 (define @t263 () (tptp.hAPP @t262 @t50)) % 0.93/1.13 (define @t264 () (tptp.class_Rings_Olinordered__semidom @t7)) % 0.93/1.13 (define @t265 () (@var "V_p" $$unsorted)) % 0.93/1.13 (define @t266 () (@list @t265 @t7)) % 0.93/1.13 (define @t267 () (tptp.c_Power_Opower__class_Opower @t7)) % 0.93/1.13 (define @t268 () (tptp.hAPP @t267 @t56)) % 0.93/1.13 (define @t269 () (tptp.hAPP @t268 @t144)) % 0.93/1.13 (define @t270 () (tptp.hAPP @t267 @t55)) % 0.93/1.13 (define @t271 () (tptp.hAPP @t270 @t144)) % 0.93/1.13 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t7 @t271 @t269)) % 0.93/1.13 (define @t273 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t8)) % 0.93/1.13 (define @t274 () (tptp.hBOOL (tptp.hAPP @t273 @t55))) % 0.93/1.13 (define @t275 () (@list @t144 @t56 @t55 @t7)) % 0.93/1.13 (define @t276 () (tptp.hAPP @t253 @t144)) % 0.93/1.13 (define @t277 () (= @t55 @t8)) % 0.93/1.13 (define @t278 () (not @t277)) % 0.93/1.13 (define @t279 () (@list @t144 @t55 @t7)) % 0.93/1.13 (define @t280 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_RealDef_Oreal)) % 0.93/1.13 (define @t281 () (tptp.hAPP @t253 @t38)) % 0.93/1.13 (define @t282 () (@list @t38)) % 0.93/1.13 (define @t283 () (tptp.hAPP @t253 @t170)) % 0.93/1.13 (define @t284 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 0.93/1.13 (define @t285 () (tptp.hAPP (tptp.hAPP @t284 @t283) @t144)) % 0.93/1.13 (define @t286 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.93/1.13 (define @t287 () (tptp.hAPP (tptp.hAPP @t286 @t170) @t144)) % 0.93/1.13 (define @t288 () (tptp.hAPP @t253 @t287)) % 0.93/1.13 (define @t289 () (= @t50 @t166)) % 0.93/1.13 (define @t290 () (tptp.hAPP @t253 @t166)) % 0.93/1.13 (define @t291 () (tptp.c_Groups_Oabs__class_Oabs @t7 @t55)) % 0.93/1.13 (define @t292 () (tptp.hAPP (tptp.hAPP @t267 @t291) @t144)) % 0.93/1.13 (define @t293 () (tptp.class_Rings_Olinordered__idom @t7)) % 0.93/1.13 (define @t294 () (@var "V_r" $$unsorted)) % 0.93/1.13 (define @t295 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t294)) % 0.93/1.13 (define @t296 () (@list @t294)) % 0.93/1.13 (define @t297 () (tptp.class_Groups_Oordered__ab__group__add__abs @t7)) % 0.93/1.13 (define @t298 () (tptp.hAPP @t262 @t170)) % 0.93/1.13 (define @t299 () (tptp.class_Rings_Osemiring__1 @t7)) % 0.93/1.13 (define @t300 () (@list @t144 @t170 @t7)) % 0.93/1.13 (define @t301 () (tptp.hAPP (tptp.hAPP @t284 @t39) @t144)) % 0.93/1.13 (define @t302 () (tptp.hAPP @t267 @t38)) % 0.93/1.13 (define @t303 () (tptp.hAPP @t302 @t144)) % 0.93/1.13 (define @t304 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t303)) % 0.93/1.13 (define @t305 () (tptp.class_RealVector_Oreal__normed__div__algebra @t7)) % 0.93/1.13 (define @t306 () (@list @t144 @t38 @t7)) % 0.93/1.13 (define @t307 () (tptp.hAPP @t262 @t144)) % 0.93/1.13 (define @t308 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t7)) % 0.93/1.13 (define @t309 () (@list @t144 @t7)) % 0.93/1.13 (define @t310 () (tptp.hAPP @t262 @t166)) % 0.93/1.13 (define @t311 () (@list @t50 @t166 @t7)) % 0.93/1.13 (define @t312 () (= @t43 @t8)) % 0.93/1.13 (define @t313 () (tptp.c_Groups_Oabs__class_Oabs @t7 @t43)) % 0.93/1.13 (define @t314 () (@list @t43 @t7)) % 0.93/1.13 (define @t315 () (tptp.c_Groups_Oabs__class_Oabs @t7 @t57)) % 0.93/1.13 (define @t316 () (tptp.c_Groups_Oabs__class_Oabs @t7 @t58)) % 0.93/1.13 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t271)) % 0.93/1.13 (define @t318 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t55)) % 0.93/1.13 (define @t319 () (tptp.hAPP @t267 @t43)) % 0.93/1.13 (define @t320 () (tptp.hAPP @t319 @t50)) % 0.93/1.13 (define @t321 () (tptp.class_Rings_Ozero__neq__one @t7)) % 0.93/1.13 (define @t322 () (tptp.class_Rings_Ono__zero__divisors @t7)) % 0.93/1.13 (define @t323 () (tptp.class_Rings_Omult__zero @t7)) % 0.93/1.13 (define @t324 () (tptp.class_Power_Opower @t7)) % 0.93/1.13 (define @t325 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t9)) % 0.93/1.13 (define @t326 () (tptp.hAPP @t286 @t9)) % 0.93/1.13 (define @t327 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 (tptp.hAPP @t326 @t50))) % 0.93/1.13 (define @t328 () (@list @t50 @t9)) % 0.93/1.13 (define @t329 () (tptp.hAPP @t286 @t199)) % 0.93/1.13 (define @t330 () (tptp.hAPP @t329 @t144)) % 0.93/1.13 (define @t331 () (= @t291 @t55)) % 0.93/1.13 (define @t332 () (tptp.c_Groups_Oabs__class_Oabs @t7 @t56)) % 0.93/1.13 (define @t333 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t291 @t332)) % 0.93/1.13 (define @t334 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t333)) % 0.93/1.13 (define @t335 () (@list @t170 @t7)) % 0.93/1.13 (define @t336 () (tptp.c_Orderings_Oord__class_Oless @t7 @t298 @t307)) % 0.93/1.13 (define @t337 () (tptp.hBOOL (tptp.hAPP @t273 @t56))) % 0.93/1.13 (define @t338 () (@list @t56 @t144 @t55 @t7)) % 0.93/1.13 (define @t339 () (tptp.hBOOL (tptp.hAPP @t51 @t166))) % 0.93/1.13 (define @t340 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t254)) % 0.93/1.13 (define @t341 () (tptp.class_Rings_Oring__1 @t7)) % 0.93/1.13 (define @t342 () (@list @t170 @t144 @t7)) % 0.93/1.13 (define @t343 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.93/1.13 (define @t344 () (tptp.hBOOL (tptp.hAPP @t221 @t343))) % 0.93/1.13 (define @t345 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t109)) % 0.93/1.13 (define @t346 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 0.93/1.13 (define @t347 () (tptp.hAPP @t346 @t109)) % 0.93/1.13 (define @t348 () (tptp.hAPP @t346 @t9)) % 0.93/1.13 (define @t349 () (tptp.hAPP @t346 @t144)) % 0.93/1.13 (define @t350 () (tptp.hAPP @t346 @t170)) % 0.93/1.13 (define @t351 () (tptp.hAPP @t346 @t50)) % 0.93/1.13 (define @t352 () (tptp.hAPP @t253 (tptp.c_Nat_OSuc @t22))) % 0.93/1.13 (define @t353 () (tptp.c_RealVector_Onorm__class_Onorm @t82 @t150)) % 0.93/1.13 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t353)) % 0.93/1.13 (define @t355 () (exists @t162 (and @t161 (forall @t24 (tptp.hBOOL (tptp.hAPP @t354 @t158)))))) % 0.93/1.13 (define @t356 () (tptp.class_RealVector_Oreal__normed__vector @t82)) % 0.93/1.13 (define @t357 () (@list @t148 @t82)) % 0.93/1.13 (define @t358 () (@var "B_y" $$unsorted)) % 0.93/1.13 (define @t359 () (@var "B_d" $$unsorted)) % 0.93/1.13 (define @t360 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t358)) @t359)) % 0.93/1.13 (define @t361 () (@list @t358)) % 0.93/1.13 (define @t362 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t359)) % 0.93/1.13 (define @t363 () (@list @t359)) % 0.93/1.13 (define @t364 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t56)) % 0.93/1.13 (define @t365 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t38)) % 0.93/1.13 (define @t366 () (@list @t56 @t38 @t55)) % 0.93/1.13 (define @t367 () (tptp.c_Nat_OSuc @t144)) % 0.93/1.13 (define @t368 () (tptp.c_Nat_OSuc @t170)) % 0.93/1.13 (define @t369 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t367)) % 0.93/1.13 (define @t370 () (tptp.hAPP @t346 @t185)) % 0.93/1.13 (define @t371 () (@list @t185)) % 0.93/1.13 (define @t372 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t343)) % 0.93/1.13 (define @t373 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.93/1.13 (define @t374 () (@list @t144 @t38)) % 0.93/1.13 (define @t375 () (@var "V_l_2" $$unsorted)) % 0.93/1.13 (define @t376 () (@list @t375 @t178)) % 0.93/1.13 (define @t377 () (tptp.hAPP @t346 @t166)) % 0.93/1.13 (define @t378 () (tptp.hAPP @t346 @t287)) % 0.93/1.13 (define @t379 () (tptp.hAPP (tptp.hAPP @t373 @t350) @t144)) % 0.93/1.13 (define @t380 () (@var "V_nat_H_2" $$unsorted)) % 0.93/1.13 (define @t381 () (@var "V_nat_2" $$unsorted)) % 0.93/1.13 (define @t382 () (@var "V_w_2" $$unsorted)) % 0.93/1.13 (define @t383 () (@var "V_z_2" $$unsorted)) % 0.93/1.13 (define @t384 () (@list @t382 @t383)) % 0.93/1.13 (define @t385 () (@var "V_nat_H_1" $$unsorted)) % 0.93/1.13 (define @t386 () (@var "V_nat_H" $$unsorted)) % 0.93/1.13 (define @t387 () (tptp.c_Nat_OSuc @t145)) % 0.93/1.13 (define @t388 () (= @t166 @t145)) % 0.93/1.13 (define @t389 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t144)) % 0.93/1.13 (define @t390 () (not @t210)) % 0.93/1.13 (define @t391 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t367)) % 0.93/1.13 (define @t392 () (tptp.c_Nat_OSuc @t199)) % 0.93/1.13 (define @t393 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t198)) % 0.93/1.13 (define @t394 () (tptp.c_Nat_OSuc @t166)) % 0.93/1.13 (define @t395 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t394)) % 0.93/1.13 (define @t396 () (= @t395 @t289)) % 0.93/1.13 (define @t397 () (tptp.c_Nat_OSuc @t50)) % 0.93/1.13 (define @t398 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 @t397)) % 0.93/1.13 (define @t399 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t368) @t144))) % 0.93/1.13 (define @t400 () (tptp.hBOOL (tptp.hAPP @t173 @t367))) % 0.93/1.13 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t397)) % 0.93/1.13 (define @t402 () (tptp.hBOOL (tptp.hAPP @t401 @t166))) % 0.93/1.13 (define @t403 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t144)) % 0.93/1.13 (define @t404 () (@list @t185 @t144 @t170)) % 0.93/1.13 (define @t405 () (tptp.c_Nat_OSuc @t387)) % 0.93/1.13 (define @t406 () (tptp.hAPP @t267 @t8)) % 0.93/1.13 (define @t407 () (and @t324 (tptp.class_Rings_Osemiring__0 @t7))) % 0.93/1.13 (define @t408 () (@var "B_j" $$unsorted)) % 0.93/1.13 (define @t409 () (@list @t408)) % 0.93/1.13 (define @t410 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t387)) % 0.93/1.13 (define @t411 () (tptp.c_Nat_OSuc @t18)) % 0.93/1.13 (define @t412 () (tptp.hAPP @t148 @t411)) % 0.93/1.13 (define @t413 () (forall @t24 (tptp.hBOOL (tptp.hAPP @t151 @t412)))) % 0.93/1.13 (define @t414 () (tptp.hAPP @t268 @t367)) % 0.93/1.13 (define @t415 () (tptp.hAPP @t270 @t367)) % 0.93/1.13 (define @t416 () (tptp.hAPP @t253 @t367)) % 0.93/1.13 (define @t417 () (tptp.hAPP @t346 @t145)) % 0.93/1.13 (define @t418 () (tptp.hAPP @t346 @t38)) % 0.93/1.13 (define @t419 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t9) @t109))) % 0.93/1.13 (define @t420 () (@list @t86)) % 0.93/1.13 (define @t421 () (tptp.hBOOL (tptp.hAPP @t221 (tptp.hAPP @t346 @t3)))) % 0.93/1.13 (define @t422 () (tptp.hBOOL (tptp.hAPP @t221 @t3))) % 0.93/1.13 (define @t423 () (tptp.hBOOL (tptp.hAPP @t372 @t3))) % 0.93/1.13 (define @t424 () (@list @t221)) % 0.93/1.13 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t245)) % 0.93/1.13 (define @t426 () (tptp.hBOOL (tptp.hAPP @t425 @t86))) % 0.93/1.13 (define @t427 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86)) % 0.93/1.13 (define @t428 () (tptp.hBOOL (tptp.hAPP @t427 @t245))) % 0.93/1.13 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t199)) % 0.93/1.13 (define @t430 () (tptp.hBOOL (tptp.hAPP @t429 @t198))) % 0.93/1.13 (define @t431 () (tptp.hAPP @t373 @t38)) % 0.93/1.13 (define @t432 () (tptp.hAPP @t431 @t144)) % 0.93/1.13 (define @t433 () (tptp.hBOOL (tptp.hAPP @t372 @t38))) % 0.93/1.13 (define @t434 () (tptp.c_Nat__Transfer_Otsub @t38 @t76)) % 0.93/1.13 (define @t435 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t76) @t38))) % 0.93/1.13 (define @t436 () (=> @t435 (= @t434 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t76)))) % 0.93/1.13 (define @t437 () (@list @t38 @t76)) % 0.93/1.13 (define @t438 () (tptp.hAPP @t346 @t18)) % 0.93/1.13 (define @t439 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t185)) % 0.93/1.13 (define @t440 () (tptp.hAPP @t373 @t185)) % 0.93/1.13 (define @t441 () (tptp.hAPP @t346 @t76)) % 0.93/1.13 (define @t442 () (tptp.class_Divides_Osemiring__div @t7)) % 0.93/1.13 (define @t443 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t38 @t76)) % 0.93/1.13 (define @t444 () (tptp.hBOOL (tptp.hAPP @t372 @t76))) % 0.93/1.13 (define @t445 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t56)) % 0.93/1.13 (define @t446 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t56)) % 0.93/1.13 (define @t447 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t343)) % 0.93/1.13 (define @t448 () (@list @t56 @t55)) % 0.93/1.13 (define @t449 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t42)) % 0.93/1.13 (define @t450 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t449 @t343)) % 0.93/1.13 (define @t451 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t42 @t343)) % 0.93/1.13 (define @t452 () (@list @t43 @t42)) % 0.93/1.13 (define @t453 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t42)) % 0.93/1.13 (define @t454 () (@var "V_a_H" $$unsorted)) % 0.93/1.13 (define @t455 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t454 @t56)) % 0.93/1.13 (define @t456 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t343)) % 0.93/1.13 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55)) % 0.93/1.13 (define @t458 () (tptp.hBOOL (tptp.hAPP @t457 @t454))) % 0.93/1.13 (define @t459 () (@list @t56 @t454 @t55)) % 0.93/1.13 (define @t460 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t445)) % 0.93/1.13 (define @t461 () (= @t445 @t343)) % 0.93/1.13 (define @t462 () (tptp.hBOOL (tptp.hAPP @t457 @t343))) % 0.93/1.13 (define @t463 () (@var "V_b_H" $$unsorted)) % 0.93/1.13 (define @t464 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t463)) % 0.93/1.13 (define @t465 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t463) @t56))) % 0.93/1.13 (define @t466 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t463)) % 0.93/1.13 (define @t467 () (@list @t56 @t463 @t55)) % 0.93/1.13 (define @t468 () (tptp.hBOOL (tptp.hAPP @t460 @t343))) % 0.93/1.13 (define @t469 () (tptp.hBOOL (tptp.hAPP @t372 @t449))) % 0.93/1.13 (define @t470 () (tptp.hBOOL (tptp.hAPP @t372 @t55))) % 0.93/1.13 (define @t471 () (tptp.hBOOL (tptp.hAPP @t372 @t43))) % 0.93/1.13 (define @t472 () (@var "V_i_2" $$unsorted)) % 0.93/1.13 (define @t473 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t472 @t178)) % 0.93/1.13 (define @t474 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t178)) % 0.93/1.13 (define @t475 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t472) @t343))) % 0.93/1.13 (define @t476 () (= @t178 @t343)) % 0.93/1.13 (define @t477 () (tptp.hAPP tptp.c_Int_Onat @t382)) % 0.93/1.13 (define @t478 () (tptp.hBOOL (tptp.hAPP @t372 @t382))) % 0.93/1.13 (define @t479 () (@list @t166 @t382)) % 0.93/1.13 (define @t480 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t170 @t144)) % 0.93/1.13 (define @t481 () (= @t480 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t171 @t144)))) % 0.93/1.13 (define @t482 () (tptp.hAPP tptp.c_Int_Onat @t76)) % 0.93/1.13 (define @t483 () (tptp.hAPP tptp.c_Int_Onat @t38)) % 0.93/1.13 (define @t484 () (tptp.c_Polynomial_Odegree @t7 @t265)) % 0.93/1.13 (define @t485 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t7 @t265)) % 0.93/1.13 (define @t486 () (= @t265 @t243)) % 0.93/1.13 (define @t487 () (not @t486)) % 0.93/1.13 (define @t488 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t82))) % 0.93/1.13 (define @t489 () (tptp.c_Divides_Odiv__class_Odiv @t242 @t38 @t76)) % 0.93/1.13 (define @t490 () (tptp.class_Fields_Ofield @t7)) % 0.93/1.13 (define @t491 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t483 @t482)) % 0.93/1.13 (define @t492 () (tptp.hAPP tptp.c_Int_Onat @t443)) % 0.93/1.13 (define @t493 () (=> @t210 (= @t480 @t145))) % 0.93/1.13 (define @t494 () (tptp.hAPP tptp.c_Int_Onat @t343)) % 0.93/1.13 (define @t495 () (tptp.hAPP tptp.c_Int_Onat @t109)) % 0.93/1.13 (define @t496 () (tptp.hAPP tptp.c_Int_Onat @t9)) % 0.93/1.13 (define @t497 () (tptp.hBOOL (tptp.hAPP @t372 @t109))) % 0.93/1.13 (define @t498 () (tptp.hBOOL (tptp.hAPP @t372 @t9))) % 0.93/1.13 (define @t499 () (tptp.hBOOL (tptp.hAPP @t221 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 0.93/1.13 (define @t500 () (@var "B_x1" $$unsorted)) % 0.93/1.13 (define @t501 () (tptp.hBOOL (tptp.hAPP @t221 @t500))) % 0.93/1.13 (define @t502 () (@list @t500)) % 0.93/1.13 (define @t503 () (@var "V_z_H_2" $$unsorted)) % 0.93/1.13 (define @t504 () (tptp.hAPP tptp.c_Int_Onat @t383)) % 0.93/1.13 (define @t505 () (tptp.hBOOL (tptp.hAPP @t372 @t383))) % 0.93/1.13 (define @t506 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t55 @t56)) % 0.93/1.13 (define @t507 () (@var "V_q" $$unsorted)) % 0.93/1.13 (define @t508 () (tptp.c_Polynomial_Odegree @t7 (tptp.c_Groups_Ominus__class_Ominus @t242 @t265 @t507))) % 0.93/1.13 (define @t509 () (tptp.c_Polynomial_Odegree @t7 @t507)) % 0.93/1.13 (define @t510 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t144)) % 0.93/1.13 (define @t511 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t484 @t144)) % 0.93/1.13 (define @t512 () (@list @t507 @t144 @t265 @t7)) % 0.93/1.13 (define @t513 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509) @t144))) % 0.93/1.13 (define @t514 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484) @t144))) % 0.93/1.13 (define @t515 () (tptp.hAPP tptp.c_Int_Onat @t86)) % 0.93/1.13 (define @t516 () (tptp.hAPP tptp.c_Int_Onat @t472)) % 0.93/1.13 (define @t517 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t382 @t383)) % 0.93/1.13 (define @t518 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t504)) % 0.93/1.13 (define @t519 () (= @t518 @t517)) % 0.93/1.13 (define @t520 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t383)) % 0.93/1.13 (define @t521 () (@list @t383 @t382)) % 0.93/1.13 (define @t522 () (tptp.hAPP @t346 @t515)) % 0.93/1.13 (define @t523 () (tptp.hBOOL (tptp.hAPP @t372 @t86))) % 0.93/1.13 (define @t524 () (=> @t523 (= @t522 @t86))) % 0.93/1.13 (define @t525 () (@list @t383 @t166)) % 0.93/1.13 (define @t526 () (=> @t390 @t481)) % 0.93/1.13 (define @t527 () (@list @t383)) % 0.93/1.13 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t382)) % 0.93/1.13 (define @t529 () (tptp.hBOOL (tptp.hAPP @t528 @t383))) % 0.93/1.13 (define @t530 () (and (=> @t478 (= @t382 @t377)) (=> (not @t478) @t388))) % 0.93/1.13 (define @t531 () (@var "V_z_H" $$unsorted)) % 0.93/1.13 (define @t532 () (tptp.hAPP tptp.c_Int_Onat @t531)) % 0.93/1.13 (define @t533 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t531) @t86))) % 0.93/1.13 (define @t534 () (tptp.hBOOL (tptp.hAPP @t372 @t531))) % 0.93/1.13 (define @t535 () (@list @t144 @t86)) % 0.93/1.13 (define @t536 () (tptp.class_Rings_Oidom @t7)) % 0.93/1.13 (define @t537 () (tptp.class_Rings_Ocomm__semiring__0 @t7)) % 0.93/1.13 (define @t538 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.93/1.13 (define @t539 () (@var "B_q" $$unsorted)) % 0.93/1.13 (define @t540 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 0.93/1.13 (define @t541 () (tptp.hAPP @t540 @t50)) % 0.93/1.13 (define @t542 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t166 @t50)) % 0.93/1.13 (define @t543 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 0.93/1.13 (define @t544 () (tptp.hAPP @t543 @t55)) % 0.93/1.13 (define @t545 () (tptp.hAPP @t544 @t271)) % 0.93/1.13 (define @t546 () (tptp.c_Groups_Oone__class_Oone @t7)) % 0.93/1.13 (define @t547 () (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t55)) % 0.93/1.13 (define @t548 () (tptp.hAPP @t540 @t144)) % 0.93/1.13 (define @t549 () (tptp.hAPP @t548 @t185)) % 0.93/1.13 (define @t550 () (tptp.hAPP @t540 @t170)) % 0.93/1.13 (define @t551 () (tptp.hAPP @t550 @t144)) % 0.93/1.13 (define @t552 () (tptp.hAPP @t548 @t170)) % 0.93/1.13 (define @t553 () (tptp.hAPP @t543 @t56)) % 0.93/1.13 (define @t554 () (tptp.hAPP @t553 @t95)) % 0.93/1.13 (define @t555 () (tptp.hAPP @t544 @t56)) % 0.93/1.13 (define @t556 () (= (tptp.hAPP @t544 @t546) @t55)) % 0.93/1.13 (define @t557 () (tptp.class_Groups_Ocomm__monoid__mult @t7)) % 0.93/1.13 (define @t558 () (tptp.class_Groups_Omonoid__mult @t7)) % 0.93/1.13 (define @t559 () (= (tptp.hAPP (tptp.hAPP @t543 @t546) @t55) @t55)) % 0.93/1.13 (define @t560 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.93/1.13 (define @t561 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t76)) % 0.93/1.13 (define @t562 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 0.93/1.13 (define @t563 () (tptp.hAPP (tptp.hAPP @t562 @t39) @t561)) % 0.93/1.13 (define @t564 () (tptp.hAPP @t543 @t38)) % 0.93/1.13 (define @t565 () (tptp.hAPP @t564 @t76)) % 0.93/1.13 (define @t566 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t565)) % 0.93/1.13 (define @t567 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.93/1.13 (define @t568 () (tptp.hAPP @t562 @t294)) % 0.93/1.13 (define @t569 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t561 @t215)) % 0.93/1.13 (define @t570 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t294)) % 0.93/1.13 (define @t571 () (tptp.class_RealVector_Oreal__normed__algebra @t7)) % 0.93/1.13 (define @t572 () (@list @t215 @t76 @t294 @t38 @t7)) % 0.93/1.13 (define @t573 () (= (tptp.hAPP @t544 @t8) @t8)) % 0.93/1.13 (define @t574 () (tptp.hAPP @t543 @t8)) % 0.93/1.13 (define @t575 () (@list @t76 @t7)) % 0.93/1.13 (define @t576 () (@var "V_ya" $$unsorted)) % 0.93/1.13 (define @t577 () (tptp.hAPP @t543 @t76)) % 0.93/1.13 (define @t578 () (tptp.hAPP @t577 @t576)) % 0.93/1.13 (define @t579 () (tptp.hAPP @t564 @t576)) % 0.93/1.13 (define @t580 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t38 @t76)) % 0.93/1.13 (define @t581 () (tptp.hAPP @t543 @t580)) % 0.93/1.13 (define @t582 () (@list @t576 @t76 @t38 @t7)) % 0.93/1.13 (define @t583 () (tptp.hAPP (tptp.hAPP @t543 @t454) @t56)) % 0.93/1.13 (define @t584 () (@list @t56 @t454 @t55 @t7)) % 0.93/1.13 (define @t585 () (@var "V_xa" $$unsorted)) % 0.93/1.13 (define @t586 () (tptp.hAPP @t543 @t585)) % 0.93/1.13 (define @t587 () (tptp.hAPP @t586 @t76)) % 0.93/1.13 (define @t588 () (tptp.hAPP @t586 @t38)) % 0.93/1.13 (define @t589 () (@list @t76 @t38 @t585 @t7)) % 0.93/1.13 (define @t590 () (tptp.hAPP @t544 @t463)) % 0.93/1.13 (define @t591 () (@list @t463 @t56 @t55 @t7)) % 0.93/1.13 (define @t592 () (tptp.hAPP @t543 @t271)) % 0.93/1.13 (define @t593 () (tptp.hAPP @t592 @t55)) % 0.93/1.13 (define @t594 () (= @t178 @t145)) % 0.93/1.13 (define @t595 () (or @t189 @t594)) % 0.93/1.13 (define @t596 () (tptp.hAPP @t541 @t178)) % 0.93/1.13 (define @t597 () (tptp.hAPP @t540 @t166)) % 0.93/1.13 (define @t598 () (tptp.hAPP @t597 @t178)) % 0.93/1.13 (define @t599 () (@list @t50 @t178 @t166)) % 0.93/1.13 (define @t600 () (tptp.hAPP @t540 @t178)) % 0.93/1.13 (define @t601 () (tptp.hAPP @t600 @t50)) % 0.93/1.13 (define @t602 () (tptp.hAPP @t600 @t166)) % 0.93/1.13 (define @t603 () (= @t602 @t601)) % 0.93/1.13 (define @t604 () (tptp.hAPP @t597 @t50)) % 0.93/1.13 (define @t605 () (tptp.hAPP @t270 @t170)) % 0.93/1.13 (define @t606 () (@list @t144 @t170 @t55 @t7)) % 0.93/1.13 (define @t607 () (tptp.hAPP @t540 (tptp.c_Nat_OSuc @t178))) % 0.93/1.13 (define @t608 () (tptp.hAPP @t607 @t50)) % 0.93/1.13 (define @t609 () (tptp.hAPP @t607 @t166)) % 0.93/1.13 (define @t610 () (tptp.hAPP @t540 @t198)) % 0.93/1.13 (define @t611 () (tptp.hAPP @t540 @t199)) % 0.93/1.13 (define @t612 () (tptp.hAPP @t611 @t185)) % 0.93/1.13 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612)) % 0.93/1.13 (define @t614 () (tptp.hBOOL (tptp.hAPP @t186 @t217))) % 0.93/1.13 (define @t615 () (@list @t217 @t185 @t198 @t199)) % 0.93/1.14 (define @t616 () (tptp.hAPP @t540 @t185)) % 0.93/1.14 (define @t617 () (tptp.hAPP @t616 @t198)) % 0.93/1.14 (define @t618 () (tptp.hAPP @t616 @t199)) % 0.93/1.14 (define @t619 () (tptp.hAPP @t610 @t185)) % 0.93/1.14 (define @t620 () (tptp.hAPP @t550 @t170)) % 0.93/1.14 (define @t621 () (tptp.hAPP @t550 @t185)) % 0.93/1.14 (define @t622 () (tptp.hAPP @t616 @t144)) % 0.93/1.14 (define @t623 () (tptp.hAPP @t616 @t170)) % 0.93/1.14 (define @t624 () (tptp.hAPP @t431 @t76)) % 0.93/1.14 (define @t625 () (@list @t86 @t76 @t38)) % 0.93/1.14 (define @t626 () (tptp.c_Orderings_Oord__class_Oless @t7 @t55 @t546)) % 0.93/1.14 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t546)) % 0.93/1.14 (define @t628 () (tptp.hBOOL (tptp.hAPP @t627 @t55))) % 0.93/1.14 (define @t629 () (tptp.c_Divides_Odiv__class_Odiv @t7 @t55 @t56)) % 0.93/1.14 (define @t630 () (tptp.hAPP @t543 @t95)) % 0.93/1.14 (define @t631 () (tptp.hAPP @t630 @t56)) % 0.93/1.14 (define @t632 () (tptp.hAPP @t630 @t55)) % 0.93/1.14 (define @t633 () (tptp.c_Divides_Odiv__class_Odiv @t7 @t632 @t631)) % 0.93/1.14 (define @t634 () (= @t95 @t8)) % 0.93/1.14 (define @t635 () (not @t634)) % 0.93/1.14 (define @t636 () (=> @t635 (= @t633 @t629))) % 0.93/1.14 (define @t637 () (@list @t56 @t55 @t95 @t7)) % 0.93/1.14 (define @t638 () (= @t56 @t8)) % 0.93/1.14 (define @t639 () (not @t638)) % 0.93/1.14 (define @t640 () (tptp.hAPP @t553 @t55)) % 0.93/1.14 (define @t641 () (tptp.hAPP @t544 @t95)) % 0.93/1.14 (define @t642 () (= @t50 @t387)) % 0.93/1.14 (define @t643 () (= @t166 @t387)) % 0.93/1.14 (define @t644 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t185)) % 0.93/1.14 (define @t645 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t178)) % 0.93/1.14 (define @t646 () (and @t645 @t177)) % 0.93/1.14 (define @t647 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t602 @t601)) % 0.93/1.14 (define @t648 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t166)) % 0.93/1.14 (define @t649 () (tptp.hAPP @t540 @t484)) % 0.93/1.14 (define @t650 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 0.93/1.14 (define @t651 () (@list @t55)) % 0.93/1.14 (define @t652 () (tptp.hAPP @t406 @t144)) % 0.93/1.14 (define @t653 () (@var "V_N" $$unsorted)) % 0.93/1.14 (define @t654 () (tptp.hAPP @t270 @t653)) % 0.93/1.14 (define @t655 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t653)) % 0.93/1.14 (define @t656 () (@list @t55 @t653 @t144 @t7)) % 0.93/1.14 (define @t657 () (tptp.hAPP @t267 @t42)) % 0.93/1.14 (define @t658 () (tptp.hAPP @t657 @t109)) % 0.93/1.14 (define @t659 () (tptp.hAPP @t657 @t9)) % 0.93/1.14 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t42)) % 0.93/1.14 (define @t661 () (@list @t109 @t9 @t42 @t7)) % 0.93/1.14 (define @t662 () (tptp.hBOOL (tptp.hAPP @t224 @t653))) % 0.93/1.14 (define @t663 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t387 @t170)) % 0.93/1.14 (define @t664 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t387 @t144)) % 0.93/1.14 (define @t665 () (=> @t645 @t168)) % 0.93/1.14 (define @t666 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t602) @t601))) % 0.93/1.14 (define @t667 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t538)) % 0.93/1.14 (define @t668 () (tptp.hAPP tptp.c_Int_Onat @t538)) % 0.93/1.14 (define @t669 () (@var "V_q_2" $$unsorted)) % 0.93/1.14 (define @t670 () (tptp.hAPP @t267 @t76)) % 0.93/1.14 (define @t671 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t567)) % 0.93/1.14 (define @t672 () (tptp.hAPP @t267 @t170)) % 0.93/1.14 (define @t673 () (tptp.hAPP @t543 @t170)) % 0.93/1.14 (define @t674 () (tptp.hAPP @t672 @t144)) % 0.93/1.14 (define @t675 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t623 @t622)) % 0.93/1.14 (define @t676 () (= @t675 @t480)) % 0.93/1.14 (define @t677 () (tptp.hAPP @t577 @t38)) % 0.93/1.14 (define @t678 () (tptp.hBOOL (tptp.hAPP @t273 @t38))) % 0.93/1.14 (define @t679 () (@var "V_z3" $$unsorted)) % 0.93/1.14 (define @t680 () (@var "V_z2" $$unsorted)) % 0.93/1.14 (define @t681 () (tptp.hAPP @t562 @t680)) % 0.93/1.14 (define @t682 () (@var "V_z1" $$unsorted)) % 0.93/1.14 (define @t683 () (tptp.hAPP @t562 @t682)) % 0.93/1.14 (define @t684 () (@list @t679 @t680 @t682)) % 0.93/1.14 (define @t685 () (tptp.hAPP @t562 @t86)) % 0.93/1.14 (define @t686 () (tptp.hAPP @t562 @t62)) % 0.93/1.14 (define @t687 () (not (= @t62 @t13))) % 0.93/1.14 (define @t688 () (@list @t42 @t43 @t62)) % 0.93/1.14 (define @t689 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.93/1.14 (define @t690 () (tptp.hAPP @t689 @t86)) % 0.93/1.14 (define @t691 () (tptp.c_Groups_Otimes__class_Otimes @t242)) % 0.93/1.14 (define @t692 () (tptp.hAPP @t691 @t265)) % 0.93/1.14 (define @t693 () (@list @t507 @t7)) % 0.93/1.14 (define @t694 () (and (= @t166 @t567) (= @t50 @t567))) % 0.93/1.14 (define @t695 () (tptp.hAPP @t689 @t245)) % 0.93/1.14 (define @t696 () (tptp.hAPP @t695 @t680)) % 0.93/1.14 (define @t697 () (tptp.hAPP @t695 @t682)) % 0.93/1.14 (define @t698 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t682 @t680)) % 0.93/1.14 (define @t699 () (@list @t680 @t682 @t245)) % 0.93/1.14 (define @t700 () (tptp.hAPP @t689 @t680)) % 0.93/1.14 (define @t701 () (tptp.hAPP @t700 @t245)) % 0.93/1.14 (define @t702 () (tptp.hAPP @t689 @t682)) % 0.93/1.14 (define @t703 () (tptp.hAPP @t702 @t245)) % 0.93/1.14 (define @t704 () (@list @t245 @t680 @t682)) % 0.93/1.14 (define @t705 () (tptp.hAPP @t691 @t76)) % 0.93/1.14 (define @t706 () (tptp.hAPP @t705 @t86)) % 0.93/1.14 (define @t707 () (tptp.hAPP (tptp.hAPP @t562 @t38) @t76)) % 0.93/1.14 (define @t708 () (tptp.c_RealDef_Opositive @t76)) % 0.93/1.14 (define @t709 () (tptp.c_RealDef_Opositive @t38)) % 0.93/1.14 (define @t710 () (tptp.hAPP @t562 @t109)) % 0.93/1.14 (define @t711 () (tptp.hAPP @t710 @t383)) % 0.93/1.14 (define @t712 () (tptp.hAPP @t562 @t9)) % 0.93/1.14 (define @t713 () (tptp.hAPP @t712 @t383)) % 0.93/1.14 (define @t714 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t383)) % 0.93/1.14 (define @t715 () (@list @t109 @t9 @t383)) % 0.93/1.14 (define @t716 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t76)) % 0.93/1.14 (define @t717 () (tptp.hAPP (tptp.hAPP @t689 @t38) @t76)) % 0.93/1.14 (define @t718 () (tptp.hAPP @t689 @t185)) % 0.93/1.14 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t199 @t198)) % 0.93/1.14 (define @t720 () (= @t170 @t145)) % 0.93/1.14 (define @t721 () (tptp.hAPP @t346 @t551)) % 0.93/1.14 (define @t722 () (tptp.hAPP (tptp.hAPP @t689 @t350) @t349)) % 0.93/1.14 (define @t723 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t567)) % 0.93/1.14 (define @t724 () (tptp.hAPP @t346 @t567)) % 0.93/1.14 (define @t725 () (tptp.hAPP @t562 @t383)) % 0.93/1.14 (define @t726 () (tptp.hAPP @t689 @t56)) % 0.93/1.14 (define @t727 () (tptp.hAPP @t695 @t86)) % 0.93/1.14 (define @t728 () (@list @t86 @t245)) % 0.93/1.14 (define @t729 () (tptp.hAPP @t689 @t370)) % 0.93/1.14 (define @t730 () (@list @t531 @t86)) % 0.93/1.14 (define @t731 () (tptp.c_Nat_OSuc @t671)) % 0.93/1.14 (define @t732 () (tptp.hAPP @t286 @t265)) % 0.93/1.14 (define @t733 () (tptp.hAPP @t540 @t265)) % 0.93/1.14 (define @t734 () (tptp.hAPP @t732 @t170)) % 0.93/1.14 (define @t735 () (not @t720)) % 0.93/1.14 (define @t736 () (= (tptp.hAPP @t574 @t55) @t8)) % 0.93/1.14 (define @t737 () (= @t42 @t8)) % 0.93/1.14 (define @t738 () (tptp.hAPP @t543 @t43)) % 0.93/1.14 (define @t739 () (tptp.hAPP @t738 @t42)) % 0.93/1.14 (define @t740 () (= @t555 @t8)) % 0.93/1.14 (define @t741 () (tptp.hAPP @t543 @t291)) % 0.93/1.14 (define @t742 () (tptp.hAPP @t741 @t332)) % 0.93/1.14 (define @t743 () (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t555) @t742)) % 0.93/1.14 (define @t744 () (tptp.hAPP @t544 @t55)) % 0.93/1.14 (define @t745 () (tptp.class_Rings_Olinordered__ring @t7)) % 0.93/1.14 (define @t746 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42)) % 0.93/1.14 (define @t747 () (tptp.hBOOL (tptp.hAPP @t746 @t8))) % 0.93/1.14 (define @t748 () (tptp.hBOOL (tptp.hAPP @t48 @t8))) % 0.93/1.14 (define @t749 () (tptp.hBOOL (tptp.hAPP @t273 @t42))) % 0.93/1.14 (define @t750 () (tptp.hBOOL (tptp.hAPP @t273 @t43))) % 0.93/1.14 (define @t751 () (tptp.class_Rings_Olinordered__ring__strict @t7)) % 0.93/1.14 (define @t752 () (tptp.hBOOL (tptp.hAPP @t273 @t555))) % 0.93/1.14 (define @t753 () (tptp.class_Rings_Oordered__cancel__semiring @t7)) % 0.93/1.14 (define @t754 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t555) @t8))) % 0.93/1.14 (define @t755 () (tptp.hBOOL (tptp.hAPP @t99 @t8))) % 0.93/1.14 (define @t756 () (tptp.hBOOL (tptp.hAPP @t102 @t8))) % 0.93/1.14 (define @t757 () (tptp.class_Rings_Oordered__ring @t7)) % 0.93/1.14 (define @t758 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t641)) % 0.93/1.14 (define @t759 () (tptp.hBOOL (tptp.hAPP @t758 @t554))) % 0.93/1.14 (define @t760 () (tptp.hBOOL (tptp.hAPP @t273 @t95))) % 0.93/1.14 (define @t761 () (tptp.class_Rings_Oordered__semiring @t7)) % 0.93/1.14 (define @t762 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t632) @t631))) % 0.93/1.14 (define @t763 () (=> @t104 (=> @t760 @t762))) % 0.93/1.14 (define @t764 () (tptp.hBOOL (tptp.hAPP @t96 @t8))) % 0.93/1.14 (define @t765 () (@var "V_d" $$unsorted)) % 0.93/1.14 (define @t766 () (tptp.hAPP @t553 @t765)) % 0.93/1.14 (define @t767 () (=> @t760 (tptp.hBOOL (tptp.hAPP @t758 @t766)))) % 0.93/1.14 (define @t768 () (tptp.hBOOL (tptp.hAPP @t96 @t765))) % 0.93/1.14 (define @t769 () (@list @t765 @t95 @t56 @t55 @t7)) % 0.93/1.14 (define @t770 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t43)) % 0.93/1.14 (define @t771 () (tptp.c_Orderings_Oord__class_Oless @t7 @t62 @t8)) % 0.93/1.14 (define @t772 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t62)) % 0.93/1.14 (define @t773 () (or (and @t772 @t45) (and @t771 @t770))) % 0.93/1.14 (define @t774 () (tptp.hAPP @t543 @t42)) % 0.93/1.14 (define @t775 () (tptp.hAPP @t774 @t62)) % 0.93/1.14 (define @t776 () (tptp.hAPP @t738 @t62)) % 0.93/1.14 (define @t777 () (@list @t42 @t62 @t43 @t7)) % 0.93/1.14 (define @t778 () (tptp.hAPP @t543 @t62)) % 0.93/1.14 (define @t779 () (tptp.hAPP @t778 @t42)) % 0.93/1.14 (define @t780 () (tptp.hAPP @t778 @t43)) % 0.93/1.14 (define @t781 () (tptp.c_Orderings_Oord__class_Oless @t7 @t780 @t779)) % 0.93/1.14 (define @t782 () (@list @t42 @t43 @t62 @t7)) % 0.93/1.14 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t555)) % 0.93/1.14 (define @t784 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t56)) % 0.93/1.14 (define @t785 () (tptp.class_Rings_Olinordered__semiring__strict @t7)) % 0.93/1.14 (define @t786 () (tptp.c_Orderings_Oord__class_Oless @t7 @t555 @t8)) % 0.93/1.14 (define @t787 () (tptp.c_Orderings_Oord__class_Oless @t7 @t56 @t8)) % 0.93/1.14 (define @t788 () (=> @t318 @t784)) % 0.93/1.14 (define @t789 () (tptp.c_Orderings_Oord__class_Oless @t7 @t55 @t8)) % 0.93/1.14 (define @t790 () (tptp.c_Orderings_Oord__class_Oless @t7 @t641 @t554)) % 0.93/1.14 (define @t791 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t95)) % 0.93/1.14 (define @t792 () (tptp.c_Orderings_Oord__class_Oless @t7 @t632 @t631)) % 0.93/1.14 (define @t793 () (=> @t128 (=> @t791 @t792))) % 0.93/1.14 (define @t794 () (tptp.c_Orderings_Oord__class_Oless @t7 @t95 @t8)) % 0.93/1.14 (define @t795 () (tptp.hAPP @t630 @t765)) % 0.93/1.14 (define @t796 () (@list @t765 @t56 @t95 @t55 @t7)) % 0.93/1.14 (define @t797 () (= @t185 @t145)) % 0.93/1.14 (define @t798 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t780) @t779))) % 0.93/1.14 (define @t799 () (tptp.c_Orderings_Oord__class_Oless @t7 @t641 @t766)) % 0.93/1.14 (define @t800 () (=> @t760 @t799)) % 0.93/1.14 (define @t801 () (tptp.c_Orderings_Oord__class_Oless @t7 @t95 @t765)) % 0.93/1.14 (define @t802 () (=> @t760 @t128)) % 0.93/1.14 (define @t803 () (=> @t790 @t802)) % 0.93/1.14 (define @t804 () (tptp.class_Rings_Olinordered__semiring @t7)) % 0.93/1.14 (define @t805 () (@list @t56 @t95 @t55 @t7)) % 0.93/1.14 (define @t806 () (=> @t792 @t802)) % 0.93/1.14 (define @t807 () (=> @t791 @t104)) % 0.93/1.14 (define @t808 () (tptp.hBOOL (tptp.hAPP @t77 @t546))) % 0.93/1.14 (define @t809 () (tptp.hBOOL (tptp.hAPP @t273 @t76))) % 0.93/1.14 (define @t810 () (tptp.hAPP @t562 @t95)) % 0.93/1.14 (define @t811 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t95) @t13))) % 0.93/1.14 (define @t812 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t38)) % 0.93/1.14 (define @t813 () (= @t9 @t13)) % 0.93/1.14 (define @t814 () (tptp.hAPP @t712 @t9)) % 0.93/1.14 (define @t815 () (@list @t9)) % 0.93/1.14 (define @t816 () (@var "V_ry" $$unsorted)) % 0.93/1.14 (define @t817 () (@var "V_lx" $$unsorted)) % 0.93/1.14 (define @t818 () (tptp.hAPP @t543 @t817)) % 0.93/1.14 (define @t819 () (@var "V_rx" $$unsorted)) % 0.93/1.14 (define @t820 () (tptp.hAPP @t543 @t819)) % 0.93/1.14 (define @t821 () (tptp.hAPP @t820 @t816)) % 0.93/1.14 (define @t822 () (tptp.hAPP @t818 @t821)) % 0.93/1.14 (define @t823 () (@list @t816 @t819 @t817 @t7)) % 0.93/1.14 (define @t824 () (tptp.hAPP @t543 (tptp.hAPP @t818 @t819))) % 0.93/1.14 (define @t825 () (@var "V_ly" $$unsorted)) % 0.93/1.14 (define @t826 () (tptp.hAPP @t543 @t825)) % 0.93/1.14 (define @t827 () (tptp.hAPP @t543 (tptp.hAPP @t818 @t825))) % 0.93/1.14 (define @t828 () (tptp.hAPP @t827 @t819)) % 0.93/1.14 (define @t829 () (@list @t819 @t825 @t817 @t7)) % 0.93/1.14 (define @t830 () (tptp.hAPP @t827 @t821)) % 0.93/1.14 (define @t831 () (@list @t816 @t819 @t825 @t817 @t7)) % 0.93/1.14 (define @t832 () (tptp.hAPP @t302 @t507)) % 0.93/1.14 (define @t833 () (tptp.hAPP @t543 @t832)) % 0.93/1.14 (define @t834 () (tptp.hAPP @t302 @t265)) % 0.93/1.14 (define @t835 () (@list @t507 @t265 @t38 @t7)) % 0.93/1.14 (define @t836 () (tptp.hAPP @t302 (tptp.c_Nat_OSuc @t507))) % 0.93/1.14 (define @t837 () (@list @t507 @t38 @t7)) % 0.93/1.14 (define @t838 () (tptp.hAPP @t564 @t832)) % 0.93/1.14 (define @t839 () (tptp.hAPP @t253 @t18)) % 0.93/1.14 (define @t840 () (tptp.hBOOL (tptp.hAPP @t66 @t38))) % 0.93/1.14 (define @t841 () (tptp.hAPP (tptp.hAPP @t562 (tptp.c_RealVector_Onorm__class_Onorm @t7 @t3)) @t158)) % 0.93/1.14 (define @t842 () (@var "V_one_2" $$unsorted)) % 0.93/1.14 (define @t843 () (@var "V_times_2" $$unsorted)) % 0.93/1.14 (define @t844 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t7 @t842 @t843) @t43)) % 0.93/1.14 (define @t845 () (@var "B_b" $$unsorted)) % 0.93/1.14 (define @t846 () (@var "B_a" $$unsorted)) % 0.93/1.14 (define @t847 () (@list @t507 @t265 @t7)) % 0.93/1.14 (define @t848 () (tptp.hAPP @t689 @t178)) % 0.93/1.14 (define @t849 () (tptp.hAPP @t848 @t61)) % 0.93/1.14 (define @t850 () (tptp.hBOOL (tptp.hAPP @t372 @t178))) % 0.93/1.14 (define @t851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t61)) % 0.93/1.14 (define @t852 () (@list @t178 @t221 @t61)) % 0.93/1.14 (define @t853 () (tptp.hAPP (tptp.hAPP @t689 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t86)) @t538)) @t765)) % 0.93/1.14 (define @t854 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t765)) % 0.93/1.14 (define @t855 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t7)) % 0.93/1.14 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t56)) % 0.93/1.14 (define @t857 () (tptp.hAPP @t543 @t856)) % 0.93/1.14 (define @t858 () (= (tptp.hAPP @t857 @t95) (tptp.c_Groups_Oplus__class_Oplus @t7 @t641 @t554))) % 0.93/1.14 (define @t859 () (tptp.hAPP @t544 @t170)) % 0.93/1.14 (define @t860 () (@var "V_e" $$unsorted)) % 0.93/1.14 (define @t861 () (tptp.hAPP @t543 @t9)) % 0.93/1.14 (define @t862 () (tptp.hAPP @t543 @t382)) % 0.93/1.14 (define @t863 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t38 @t76)) % 0.93/1.14 (define @t864 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t682 @t680)) % 0.93/1.14 (define @t865 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t95 @t55)) % 0.93/1.14 (define @t866 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t95)) % 0.93/1.14 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t95 @t765)) % 0.93/1.14 (define @t868 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t867)) % 0.93/1.14 (define @t869 () (@list @t765 @t95 @t55 @t7)) % 0.93/1.14 (define @t870 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t56 @t95)) % 0.93/1.14 (define @t871 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t856 @t95)) % 0.93/1.14 (define @t872 () (= @t871 (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t870))) % 0.93/1.14 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t56 @t765)) % 0.93/1.14 (define @t874 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t42 @t43)) % 0.93/1.14 (define @t875 () (@list @t43 @t42 @t7)) % 0.93/1.14 (define @t876 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t8) @t55)) % 0.93/1.14 (define @t877 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t8 @t55) @t55)) % 0.93/1.14 (define @t878 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t43)) % 0.93/1.14 (define @t879 () (tptp.class_Groups_Olinordered__ab__group__add @t7)) % 0.93/1.14 (define @t880 () (tptp.class_Groups_Ocomm__monoid__add @t7)) % 0.93/1.14 (define @t881 () (tptp.class_Groups_Omonoid__add @t7)) % 0.93/1.14 (define @t882 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t95 @t56)) % 0.93/1.14 (define @t883 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t865) @t882))) % 0.93/1.14 (define @t884 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t7)) % 0.93/1.14 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t866)) % 0.93/1.14 (define @t886 () (tptp.hBOOL (tptp.hAPP @t885 @t870))) % 0.93/1.14 (define @t887 () (tptp.class_Groups_Oordered__ab__semigroup__add @t7)) % 0.93/1.14 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t62 @t42)) % 0.93/1.14 (define @t889 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t62 @t43)) % 0.93/1.14 (define @t890 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t42 @t62)) % 0.93/1.14 (define @t891 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t62)) % 0.93/1.14 (define @t892 () (tptp.c_Orderings_Oord__class_Oless @t7 @t865 @t882)) % 0.93/1.14 (define @t893 () (tptp.c_Orderings_Oord__class_Oless @t7 @t866 @t870)) % 0.93/1.14 (define @t894 () (tptp.c_Orderings_Oord__class_Oless @t7 @t866 @t873)) % 0.93/1.14 (define @t895 () (=> @t801 @t894)) % 0.93/1.14 (define @t896 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t7)) % 0.93/1.14 (define @t897 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t291 @t332)) % 0.93/1.14 (define @t898 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t863)) % 0.93/1.14 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t144)) % 0.93/1.14 (define @t900 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t245 @t86)) % 0.93/1.14 (define @t901 () (= @t42 @t62)) % 0.93/1.14 (define @t902 () (tptp.class_Groups_Ocancel__semigroup__add @t7)) % 0.93/1.14 (define @t903 () (@list @t62 @t42 @t43 @t7)) % 0.93/1.14 (define @t904 () (=> (= @t856 @t866) @t98)) % 0.93/1.14 (define @t905 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t56 @t55)) % 0.93/1.14 (define @t906 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t56 @t765)) % 0.93/1.14 (define @t907 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t55 @t95)) % 0.93/1.14 (define @t908 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t856 @t867)) % 0.93/1.14 (define @t909 () (tptp.class_Groups_Oordered__comm__monoid__add @t7)) % 0.93/1.14 (define @t910 () (= @t109 @t8)) % 0.93/1.14 (define @t911 () (and @t10 @t910)) % 0.93/1.14 (define @t912 () (tptp.hBOOL (tptp.hAPP @t99 @t866))) % 0.93/1.14 (define @t913 () (@list @t55 @t56 @t95 @t7)) % 0.93/1.14 (define @t914 () (tptp.c_Orderings_Oord__class_Oless @t7 @t56 @t866)) % 0.93/1.14 (define @t915 () (=> @t129 @t914)) % 0.93/1.14 (define @t916 () (= (tptp.c_Orderings_Oord__class_Oless @t7 @t878 @t8) (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t8))) % 0.93/1.14 (define @t917 () (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t856)) % 0.93/1.14 (define @t918 () (=> @t784 @t917)) % 0.93/1.14 (define @t919 () (tptp.c_Orderings_Oord__class_Oless @t7 @t856 @t8)) % 0.93/1.14 (define @t920 () (=> @t787 @t919)) % 0.93/1.14 (define @t921 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t861 @t9) (tptp.hAPP (tptp.hAPP @t543 @t109) @t109))) % 0.93/1.14 (define @t922 () (tptp.hAPP @t543 @t294)) % 0.93/1.14 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t546)) % 0.93/1.14 (define @t924 () (@var "V_e_2" $$unsorted)) % 0.93/1.14 (define @t925 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t543 @t44) @t924) @t62)) % 0.93/1.14 (define @t926 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t774 @t924) @t61)) % 0.93/1.14 (define @t927 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t738 @t924) @t62)) % 0.93/1.14 (define @t928 () (= @t927 @t926)) % 0.93/1.14 (define @t929 () (tptp.class_Rings_Oring @t7)) % 0.93/1.14 (define @t930 () (@list @t61 @t42 @t62 @t924 @t43 @t7)) % 0.93/1.14 (define @t931 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Groups_Ominus__class_Ominus @t7 @t42 @t43)) @t924) @t61)) % 0.93/1.14 (define @t932 () (tptp.hAPP @t543 (tptp.c_Groups_Ominus__class_Ominus @t7 @t38 @t55))) % 0.93/1.14 (define @t933 () (tptp.hAPP @t932 @t56)) % 0.93/1.14 (define @t934 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t76 @t56)) % 0.93/1.14 (define @t935 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t565 @t555)) % 0.93/1.14 (define @t936 () (@list @t56 @t55 @t76 @t38 @t7)) % 0.93/1.14 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t546 @t546)) % 0.93/1.14 (define @t938 () (tptp.hAPP (tptp.hAPP @t543 @t923) @t170)) % 0.93/1.14 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t76)) % 0.93/1.14 (define @t940 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t538 @t86)) % 0.93/1.14 (define @t941 () (@var "V_w_H" $$unsorted)) % 0.93/1.14 (define @t942 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t382 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t383 @t538))) % 0.93/1.14 (define @t943 () (tptp.hAPP @t564 @t38)) % 0.93/1.14 (define @t944 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t943 (tptp.hAPP @t577 @t76))) % 0.93/1.14 (define @t945 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t927) @t926))) % 0.93/1.14 (define @t946 () (tptp.c_Orderings_Oord__class_Oless @t7 @t927 @t926)) % 0.93/1.14 (define @t947 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t95 @t629)) % 0.93/1.14 (define @t948 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t629 @t546)) % 0.93/1.14 (define @t949 () (@var "V_v" $$unsorted)) % 0.93/1.14 (define @t950 () (@var "V_u" $$unsorted)) % 0.93/1.14 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t543 @t950) @t38) (tptp.hAPP (tptp.hAPP @t543 @t949) @t76))) % 0.93/1.14 (define @t952 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t950 @t949) @t546)) % 0.93/1.14 (define @t953 () (tptp.hBOOL (tptp.hAPP @t273 @t949))) % 0.93/1.14 (define @t954 () (tptp.hBOOL (tptp.hAPP @t273 @t950))) % 0.93/1.14 (define @t955 () (@list @t949 @t950 @t76 @t55 @t38 @t7)) % 0.93/1.14 (define @t956 () (@var "V_q_H" $$unsorted)) % 0.93/1.14 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t956)) % 0.93/1.14 (define @t958 () (tptp.hBOOL (tptp.hAPP @t957 @t507))) % 0.93/1.14 (define @t959 () (@var "V_r_H" $$unsorted)) % 0.93/1.14 (define @t960 () (tptp.hBOOL (tptp.hAPP @t372 @t959))) % 0.93/1.14 (define @t961 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t294 @t56)) % 0.93/1.14 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t463) @t956) @t959)) % 0.93/1.14 (define @t963 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t962 @t343)) % 0.93/1.14 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t726 @t507) @t294)) % 0.93/1.14 (define @t965 () (= @t964 @t962)) % 0.93/1.14 (define @t966 () (@list @t959 @t956 @t463 @t294 @t507 @t56)) % 0.93/1.14 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t507)) % 0.93/1.14 (define @t968 () (tptp.hBOOL (tptp.hAPP @t967 @t956))) % 0.93/1.14 (define @t969 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t726 @t956) @t959)) @t964))) % 0.93/1.14 (define @t970 () (@list @t294 @t507 @t959 @t956 @t56)) % 0.93/1.14 (define @t971 () (tptp.hBOOL (tptp.hAPP @t372 @t294))) % 0.93/1.14 (define @t972 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t959 @t463)) % 0.93/1.14 (define @t973 () (tptp.hBOOL (tptp.hAPP @t372 @t962))) % 0.93/1.14 (define @t974 () (@list @t959 @t956 @t463)) % 0.93/1.14 (define @t975 () (= @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t294 (tptp.hAPP (tptp.hAPP @t689 @t55) @t507)))) % 0.93/1.14 (define @t976 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t55)) % 0.93/1.14 (define @t977 () (@list @t507 @t294 @t55)) % 0.93/1.14 (define @t978 () (= @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t256) @t408))) % 0.93/1.14 (define @t979 () (@list @t178 @t50 @t221)) % 0.93/1.14 (define @t980 () (@var "V_b_1" $$unsorted)) % 0.93/1.14 (define @t981 () (@var "V_a_1" $$unsorted)) % 0.93/1.14 (define @t982 () (@var "V_r_1" $$unsorted)) % 0.93/1.14 (define @t983 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t980)) % 0.93/1.14 (define @t984 () (@var "V_ra_2" $$unsorted)) % 0.93/1.14 (define @t985 () (tptp.c_Groups_Oplus__class_Oplus @t242 @t265 @t507)) % 0.93/1.14 (define @t986 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t198)) % 0.93/1.14 (define @t987 () (tptp.hAPP @t610 @t950)) % 0.93/1.14 (define @t988 () (tptp.hAPP @t611 @t950)) % 0.93/1.14 (define @t989 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38)) % 0.93/1.14 (define @t990 () (tptp.hBOOL (tptp.hAPP @t989 @t76))) % 0.93/1.14 (define @t991 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t166 @t50)) % 0.93/1.14 (define @t992 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t367)) % 0.93/1.14 (define @t993 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t368 @t144)) % 0.93/1.14 (define @t994 () (tptp.c_Nat_OSuc @t899)) % 0.93/1.14 (define @t995 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t76 @t86)) % 0.93/1.14 (define @t996 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t995)) % 0.93/1.14 (define @t997 () (@list @t76 @t86 @t38)) % 0.93/1.14 (define @t998 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t185 @t144)) % 0.93/1.14 (define @t999 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t217)) % 0.93/1.14 (define @t1000 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 @t217)) % 0.93/1.14 (define @t1001 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t185)) % 0.93/1.14 (define @t1002 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 @t185)) % 0.93/1.14 (define @t1003 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t198)) % 0.93/1.14 (define @t1004 () (@list @t170 @t198 @t199)) % 0.93/1.14 (define @t1005 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 @t170)) % 0.93/1.14 (define @t1006 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t178 @t50)) % 0.93/1.14 (define @t1007 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t178 @t166)) % 0.93/1.14 (define @t1008 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 @t199)) % 0.93/1.14 (define @t1009 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 @t170)) % 0.93/1.14 (define @t1010 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 @t185)) % 0.93/1.14 (define @t1011 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t86)) % 0.93/1.14 (define @t1012 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t185)) % 0.93/1.14 (define @t1013 () (@list @t144 @t185 @t170)) % 0.93/1.14 (define @t1014 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t185 @t170)) % 0.93/1.14 (define @t1015 () (tptp.hBOOL (tptp.hAPP @t235 @t995))) % 0.93/1.14 (define @t1016 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1012) @t144))) % 0.93/1.14 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1001)) % 0.93/1.14 (define @t1018 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t166 @t255)) % 0.93/1.14 (define @t1019 () (or (and @t643 @t191) (and @t388 @t642))) % 0.93/1.14 (define @t1020 () (@list @t170 @t199)) % 0.93/1.14 (define @t1021 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 @t171) @t170)) % 0.93/1.14 (define @t1022 () (@var "V_j_2" $$unsorted)) % 0.93/1.14 (define @t1023 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t472 @t178)) % 0.93/1.14 (define @t1024 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1022 @t178)) % 0.93/1.14 (define @t1025 () (@list @t178 @t1022 @t472)) % 0.93/1.14 (define @t1026 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 @t567)) % 0.93/1.14 (define @t1027 () (tptp.c_Polynomial_Odegree @t7 @t985)) % 0.93/1.14 (define @t1028 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t198 @t185)) % 0.93/1.14 (define @t1029 () (tptp.hBOOL (tptp.hAPP @t186 @t198))) % 0.93/1.14 (define @t1030 () (@list @t199 @t198 @t185)) % 0.93/1.14 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1022)) % 0.93/1.14 (define @t1032 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t986 @t185)) % 0.93/1.14 (define @t1033 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t1028)) % 0.93/1.14 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t472)) % 0.93/1.14 (define @t1035 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1022 @t472)) % 0.93/1.14 (define @t1036 () (tptp.hBOOL (tptp.hAPP @t1034 @t1022))) % 0.93/1.14 (define @t1037 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1008 @t185)) % 0.93/1.14 (define @t1038 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1028 @t199)) % 0.93/1.14 (define @t1039 () (tptp.hAPP @t346 @t899)) % 0.93/1.14 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t221 @t359))) % 0.93/1.14 (define @t1041 () (= @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t359))) % 0.93/1.14 (define @t1042 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t42)) % 0.93/1.14 (define @t1043 () (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t42)))) % 0.93/1.14 (define @t1044 () (@list @t42 @t43 @t221)) % 0.93/1.14 (define @t1045 () (tptp.c_Nat_OSuc @t198)) % 0.93/1.14 (define @t1046 () (tptp.c_Nat_OSuc @t1028)) % 0.93/1.14 (define @t1047 () (@list @t170 @t198 @t185)) % 0.93/1.14 (define @t1048 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t276 @t560)) % 0.93/1.14 (define @t1049 () (@var "V_u_2" $$unsorted)) % 0.93/1.14 (define @t1050 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t472 @t1022)) @t1049) @t166)) % 0.93/1.14 (define @t1051 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t1022) @t1049) @t50)) % 0.93/1.14 (define @t1052 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t472) @t1049) @t166)) % 0.93/1.14 (define @t1053 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1052) @t1051))) % 0.93/1.14 (define @t1054 () (tptp.hBOOL (tptp.hAPP @t1031 @t472))) % 0.93/1.14 (define @t1055 () (@list @t50 @t166 @t1049 @t472 @t1022)) % 0.93/1.14 (define @t1056 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t988 @t170) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t987 @t144))) % 0.93/1.14 (define @t1057 () (= @t1052 @t1051)) % 0.93/1.14 (define @t1058 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t1035) @t1049) @t50)) % 0.93/1.14 (define @t1059 () (@list @t50 @t166 @t1049 @t1022 @t472)) % 0.93/1.14 (define @t1060 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t484 @t509)) % 0.93/1.14 (define @t1061 () (tptp.c_Polynomial_Odegree @t7 (tptp.hAPP @t692 @t507))) % 0.93/1.14 (define @t1062 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1052 @t1051)) % 0.93/1.14 (define @t1063 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t560)) % 0.93/1.14 (define @t1064 () (tptp.hAPP @t562 @t276)) % 0.93/1.14 (define @t1065 () (tptp.c_RComplete_Onatceiling @t38)) % 0.93/1.14 (define @t1066 () (@list @t38 @t144)) % 0.93/1.14 (define @t1067 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1065)) % 0.93/1.14 (define @t1068 () (tptp.hBOOL (tptp.hAPP @t989 @t13))) % 0.93/1.14 (define @t1069 () (tptp.hAPP @t253 @t55)) % 0.93/1.14 (define @t1070 () (@list @t55 @t38)) % 0.93/1.14 (define @t1071 () (tptp.hAPP @t253 @t43)) % 0.93/1.14 (define @t1072 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t9))) % 0.93/1.14 (define @t1073 () (tptp.hBOOL (tptp.hAPP @t66 @t9))) % 0.93/1.14 (define @t1074 () (@list @t43 @t9)) % 0.93/1.14 (define @t1075 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t1069)) % 0.93/1.14 (define @t1076 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1069) @t38))) % 0.93/1.14 (define @t1077 () (@list @t38 @t55)) % 0.93/1.14 (define @t1078 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t1069)) % 0.93/1.14 (define @t1079 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (define @t1080 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (define @t1081 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (define @t1082 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (define @t1083 () (@var "V_M_2" $$unsorted)) % 0.93/1.14 (define @t1084 () (tptp.hAPP @t148 @t1083)) % 0.93/1.14 (define @t1085 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t1083) @t18))) % 0.93/1.14 (define @t1086 () (tptp.c_RComplete_Onatfloor @t38)) % 0.93/1.14 (define @t1087 () (= @t984 @t243)) % 0.93/1.14 (define @t1088 () (= @t109 @t243)) % 0.93/1.14 (define @t1089 () (= @t669 @t243)) % 0.93/1.14 (define @t1090 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t38 @t76 @t507 @t294)) % 0.93/1.14 (define @t1091 () (@var "V_q2" $$unsorted)) % 0.93/1.14 (define @t1092 () (@var "V_q1" $$unsorted)) % 0.93/1.14 (define @t1093 () (= @t1092 @t1091)) % 0.93/1.14 (define @t1094 () (@var "V_r2" $$unsorted)) % 0.93/1.14 (define @t1095 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t38 @t76 @t1091 @t1094)) % 0.93/1.14 (define @t1096 () (@var "V_r1" $$unsorted)) % 0.93/1.14 (define @t1097 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t38 @t76 @t1092 @t1096)) % 0.93/1.14 (define @t1098 () (@list @t1094 @t1091 @t1096 @t1092 @t76 @t38 @t7)) % 0.93/1.14 (define @t1099 () (= @t1096 @t1094)) % 0.93/1.14 (define @t1100 () (tptp.hAPP @t253 @t1086)) % 0.93/1.14 (define @t1101 () (tptp.c_RComplete_Onatfloor @t55)) % 0.93/1.14 (define @t1102 () (tptp.c_RComplete_Onatfloor @t9)) % 0.93/1.14 (define @t1103 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t560)) % 0.93/1.14 (define @t1104 () (tptp.c_Complex_Orcis @t294 @t55)) % 0.93/1.14 (define @t1105 () (tptp.class_Rings_Odivision__ring @t7)) % 0.93/1.14 (define @t1106 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t276 @t281)) % 0.93/1.14 (define @t1107 () (tptp.hAPP @t253 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t144 @t38))) % 0.93/1.14 (define @t1108 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t76 @t576)) % 0.93/1.14 (define @t1109 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t38 @t576)) % 0.93/1.14 (define @t1110 () (tptp.class_RealVector_Oreal__normed__field @t7)) % 0.93/1.14 (define @t1111 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t56 @t95)) % 0.93/1.14 (define @t1112 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t55 @t95)) % 0.93/1.14 (define @t1113 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t55 @t56)) % 0.93/1.14 (define @t1114 () (= (tptp.c_RealVector_Onorm__class_Onorm @t7 @t1113) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t72 @t71))) % 0.93/1.14 (define @t1115 () (tptp.class_Fields_Ofield__inverse__zero @t7)) % 0.93/1.14 (define @t1116 () (tptp.hAPP @t2 @t43)) % 0.93/1.14 (define @t1117 () (tptp.hAPP @t2 @t42)) % 0.93/1.14 (define @t1118 () (tptp.hAPP @t562 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1117 @t1116) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t42 @t43)))) % 0.93/1.14 (define @t1119 () (@list @t55 @t294)) % 0.93/1.14 (define @t1120 () (tptp.class_Rings_Odivision__ring__inverse__zero @t7)) % 0.93/1.14 (define @t1121 () (= (tptp.hAPP (tptp.hAPP @t267 @t1113) @t144) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t271 @t269))) % 0.93/1.14 (define @t1122 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t42 @t62)) % 0.93/1.14 (define @t1123 () (not (= @t62 @t8))) % 0.93/1.14 (define @t1124 () (@var "V_h" $$unsorted)) % 0.93/1.14 (define @t1125 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t55 @t55)) % 0.93/1.14 (define @t1126 () (=> @t278 (= @t1125 @t546))) % 0.93/1.14 (define @t1127 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1106 @t1107)) % 0.93/1.14 (define @t1128 () (@var "T_1" $$unsorted)) % 0.93/1.14 (define @t1129 () (tptp.tc_Polynomial_Opoly @t1128)) % 0.93/1.14 (define @t1130 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1128)) % 0.93/1.14 (define @t1131 () (@list @t1128)) % 0.93/1.14 (define @t1132 () (tptp.class_Rings_Ocomm__ring @t1128)) % 0.93/1.14 (define @t1133 () (@var "T_2" $$unsorted)) % 0.93/1.14 (define @t1134 () (tptp.tc_fun @t1133 @t1128)) % 0.93/1.14 (define @t1135 () (@list @t1133 @t1128)) % 0.93/1.14 (define @t1136 () (tptp.class_Rings_Oidom @t1128)) % 0.93/1.14 (define @t1137 () (tptp.class_Rings_Olinordered__idom @t1128)) % 0.93/1.14 (define @t1138 () (tptp.class_Rings_Ocomm__semiring__0 @t1128)) % 0.93/1.14 (define @t1139 () (tptp.class_Rings_Ocomm__semiring__1 @t1128)) % 0.93/1.14 (define @t1140 () (tptp.class_Groups_Ocomm__monoid__add @t1128)) % 0.93/1.14 (define @t1141 () (tptp.class_Groups_Oab__group__add @t1128)) % 0.93/1.14 (define @t1142 () (tptp.class_Rings_Ocomm__ring__1 @t1128)) % 0.93/1.14 (define @t1143 () (=> @t33 tptp.v_thesis____)) % 0.93/1.14 (define @t1144 () (=> @t34 @t1143)) % 0.93/1.14 (define @t1145 () (forall @t36 @t1144)) % 0.93/1.14 (define @t1146 () (@var "BOUND_VARIABLE_14224" $$unsorted)) % 0.93/1.14 (define @t1147 () (not @t23)) % 0.93/1.14 (define @t1148 () (not @t28)) % 0.93/1.14 (define @t1149 () (not (forall @t30 (or @t1148 (not (forall @t26 (not (forall @t24 (or @t1147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t20 @t1146)) @t16)))))))))) % 0.93/1.14 (define @t1150 () (not @t34)) % 0.93/1.14 (define @t1151 () (or @t1150 @t1149)) % 0.93/1.14 (define @t1152 () (forall (@list @t19 @t1146) @t1151)) % 0.93/1.14 (define @t1153 () (@list @t1146)) % 0.93/1.14 (define @t1154 () (forall @t1153 @t1151)) % 0.93/1.14 (define @t1155 () (forall @t1153 @t1149)) % 0.93/1.14 (define @t1156 () (or @t1150 @t1155)) % 0.93/1.14 (define @t1157 () (forall @t24 (or @t1147 @t21))) % 0.93/1.14 (define @t1158 () (not (forall @t26 (not @t1157)))) % 0.93/1.14 (define @t1159 () (forall @t30 (or @t1148 @t1158))) % 0.93/1.14 (define @t1160 () (forall @t32 (not @t1159))) % 0.93/1.14 (define @t1161 () (or @t1150 @t1160)) % 0.93/1.14 (define @t1162 () (forall @t36 @t1161)) % 0.93/1.14 (define @t1163 () (not @t1160)) % 0.93/1.14 (define @t1164 () (not @t1163)) % 0.93/1.14 (define @t1165 () (and @t34 @t1163)) % 0.93/1.14 (define @t1166 () (forall @t36 (not @t1165))) % 0.93/1.14 (define @t1167 () (not @t1166)) % 0.93/1.14 (define @t1168 () (or tptp.v_thesis____ @t1162)) % 0.93/1.14 (define @t1169 () (or tptp.v_thesis____ @t1161)) % 0.93/1.14 (define @t1170 () (or @t1150 @t1160 tptp.v_thesis____)) % 0.93/1.14 (define @t1171 () (=> @t1163 tptp.v_thesis____)) % 0.93/1.14 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.93/1.14 (assume @p2 (forall @t15 (=> @t14 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t12) @t11)))) % 0.93/1.14 (assume @p3 @t37) % 0.93/1.14 (assume @p4 (forall @t40 (=> @t14 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t13))))) % 0.93/1.14 (assume @p5 (forall @t41 (=> @t14 (= (tptp.c_RealVector_Onorm__class_Onorm @t7 @t8) @t13)))) % 0.93/1.14 (assume @p6 (forall @t15 (=> @t14 (= (= @t12 @t13) @t10)))) % 0.93/1.14 (assume @p7 (forall @t47 (=> @t46 (= @t45 (tptp.c_Orderings_Oord__class_Oless @t7 @t44 @t8))))) % 0.93/1.14 (assume @p8 (forall @t47 (=> @t46 (= @t49 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t44) @t8)))))) % 0.93/1.14 (assume @p9 (forall (@list @t50 @t2) (=> @t52 (tptp.hBOOL (tptp.hAPP @t51 (tptp.hAPP @t2 @t50)))))) % 0.93/1.14 (assume @p10 (forall @t40 (=> @t54 (tptp.hBOOL (tptp.hAPP @t53 @t38))))) % 0.93/1.14 (assume @p11 (forall @t60 (=> @t14 (= @t59 (tptp.c_RealVector_Onorm__class_Onorm @t7 @t57))))) % 0.93/1.14 (assume @p12 (forall @t64 (=> @t46 (=> @t63 (= @t45 (tptp.c_Orderings_Oord__class_Oless @t7 @t62 @t61)))))) % 0.93/1.14 (assume @p13 (forall @t64 (=> @t46 (=> @t63 (= @t49 (tptp.hBOOL (tptp.hAPP @t65 @t61))))))) % 0.93/1.14 (assume @p14 (tptp.hBOOL (tptp.hAPP @t66 tptp.v_r))) % 0.93/1.14 (assume @p15 (forall @t24 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.v_g____ @t18))) tptp.v_r)))) % 0.93/1.14 (assume @p16 (forall @t70 (= @t52 (forall @t69 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t68 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t68) @t67)))))) % 0.93/1.14 (assume @p17 (forall @t60 (=> @t14 (tptp.hBOOL (tptp.hAPP @t74 @t59))))) % 0.93/1.14 (assume @p18 (forall @t40 (=> @t14 (tptp.hBOOL (tptp.hAPP @t66 @t39))))) % 0.93/1.14 (assume @p19 (forall @t15 (=> @t14 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12) @t13)) @t10)))) % 0.93/1.14 (assume @p20 (forall @t15 (=> @t75 (= (= @t8 @t9) @t10)))) % 0.93/1.14 (assume @p21 (forall @t81 (=> @t80 (=> (not @t79) @t78)))) % 0.93/1.14 (assume @p22 (forall (@list @t9 @t1 @t2 @t7 @t82) (=> @t85 (=> @t84 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t82 (tptp.hAPP @t2 @t9)) (tptp.hAPP @t1 @t9))))))) % 0.93/1.14 (assume @p23 (forall @t90 (=> @t89 (=> @t78 (=> @t88 (tptp.hBOOL (tptp.hAPP @t87 @t38))))))) % 0.93/1.14 (assume @p24 (forall @t92 (=> @t89 (=> @t78 (=> @t79 @t91))))) % 0.93/1.14 (assume @p25 (forall @t94 (=> @t54 (=> @t79 (=> @t93 (tptp.hBOOL (tptp.hAPP @t53 @t86))))))) % 0.93/1.14 (assume @p26 (forall @t81 (=> @t89 (=> @t79 (=> @t78 @t91))))) % 0.93/1.14 (assume @p27 (forall @t101 (=> @t89 (=> @t100 (=> @t98 @t97))))) % 0.93/1.14 (assume @p28 (forall @t106 (=> @t105 (=> @t104 (=> @t98 @t103))))) % 0.93/1.14 (assume @p29 (forall @t106 (=> @t89 (=> @t107 (=> (tptp.hBOOL (tptp.hAPP @t96 @t56)) @t97))))) % 0.93/1.14 (assume @p30 (forall @t106 (=> @t105 (=> @t107 (=> @t108 @t103))))) % 0.93/1.14 (assume @p31 (forall @t114 (=> @t89 (=> @t113 @t112)))) % 0.93/1.14 (assume @p32 (forall @t81 (=> @t54 (=> @t91 @t79)))) % 0.93/1.14 (assume @p33 (forall @t115 (=> @t89 (= @t110 (and @t111 @t113))))) % 0.93/1.14 (assume @p34 (forall @t81 (=> @t80 (or @t79 @t78)))) % 0.93/1.14 (assume @p35 (forall @t116 (=> @t85 (= @t84 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t82 @t5) @t4))))))) % 0.93/1.14 (assume @p36 (forall @t81 (=> @t80 (=> @t120 (=> @t118 @t117))))) % 0.93/1.14 (assume @p37 (forall @t81 (=> @t54 (=> @t119 (not @t117))))) % 0.93/1.14 (assume @p38 (forall @t90 (=> @t89 (=> @t117 @t122)))) % 0.93/1.14 (assume @p39 (forall @t94 (=> @t54 (=> @t119 @t124)))) % 0.93/1.14 (assume @p40 (forall @t101 (=> @t89 (=> @t126 (=> @t98 @t125))))) % 0.93/1.14 (assume @p41 (forall @t106 (=> @t105 (=> @t128 (=> @t98 @t127))))) % 0.93/1.14 (assume @p42 (forall @t106 (=> @t89 (=> @t107 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t95 @t56) @t125))))) % 0.93/1.14 (assume @p43 (forall @t106 (=> @t105 (=> @t107 (=> @t129 @t127))))) % 0.93/1.14 (assume @p44 (forall @t130 (=> @t89 (=> @t126 (not @t128))))) % 0.93/1.14 (assume @p45 (forall @t60 (=> @t54 (=> @t128 (not @t126))))) % 0.93/1.14 (assume @p46 (forall @t81 (=> @t89 (=> @t119 (not (= @t76 @t38)))))) % 0.93/1.14 (assume @p47 (forall @t81 (=> @t89 (=> @t119 @t118)))) % 0.93/1.14 (assume @p48 (forall @t81 (=> @t80 @t131))) % 0.93/1.14 (assume @p49 (forall @t114 (=> @t80 (=> (not @t135) @t134)))) % 0.93/1.14 (assume @p50 (forall @t81 (=> @t80 (or @t119 @t91 @t117)))) % 0.93/1.14 (assume @p51 (forall @t115 (=> @t80 (= @t133 (or @t135 @t110))))) % 0.93/1.14 (assume @p52 (forall @t115 (=> @t80 (= @t136 (or @t132 @t135))))) % 0.93/1.14 (assume @p53 (forall @t40 (=> @t54 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t38 @t38))))) % 0.93/1.14 (assume @p54 (forall @t64 (=> @t139 (=> @t63 (= @t138 @t137))))) % 0.93/1.14 (assume @p55 (forall @t90 (=> @t89 (=> @t78 @t122)))) % 0.93/1.14 (assume @p56 (forall @t94 (=> @t54 (=> @t79 @t124)))) % 0.93/1.14 (assume @p57 (forall @t90 (=> @t89 (=> @t117 (=> @t88 @t121))))) % 0.93/1.14 (assume @p58 (forall @t94 (=> @t54 (=> @t119 (=> @t93 @t123))))) % 0.93/1.14 (assume @p59 (forall @t130 (=> @t89 (=> @t100 (=> @t140 @t126))))) % 0.93/1.14 (assume @p60 (forall @t60 (=> @t89 (=> @t104 (=> @t140 @t128))))) % 0.93/1.14 (assume @p61 (forall @t81 (=> @t89 (=> @t79 (or @t119 @t91))))) % 0.93/1.14 (assume @p62 (forall @t115 (=> @t80 (=> @t111 @t134)))) % 0.93/1.14 (assume @p63 (forall @t81 (=> @t54 (=> @t119 @t79)))) % 0.93/1.14 (assume @p64 (forall @t92 (=> @t80 (=> @t78 @t120)))) % 0.93/1.14 (assume @p65 (forall @t60 (=> @t89 (=> @t140 (=> @t100 @t126))))) % 0.93/1.14 (assume @p66 (forall @t60 (=> @t89 (=> @t140 (=> @t104 @t128))))) % 0.93/1.14 (assume @p67 (forall @t115 (=> @t80 (=> @t133 @t112)))) % 0.93/1.14 (assume @p68 (forall @t92 (=> @t80 (=> (not @t78) @t119)))) % 0.93/1.14 (assume @p69 (forall @t81 (=> @t80 (=> @t120 @t78)))) % 0.93/1.14 (assume @p70 (forall @t115 (=> @t89 (= @t111 (or @t132 @t110))))) % 0.93/1.14 (assume @p71 (forall @t115 (=> @t54 (= @t132 (and @t111 (not @t113)))))) % 0.93/1.14 (assume @p72 (forall @t115 (=> @t89 (= @t132 (and @t111 @t136))))) % 0.93/1.14 (assume @p73 (forall @t81 (=> @t80 (or @t79 @t117)))) % 0.93/1.14 (assume @p74 (forall @t115 (=> @t80 (= (not @t111) @t135)))) % 0.93/1.14 (assume @p75 (forall @t115 (=> @t80 (= @t133 @t113)))) % 0.93/1.14 (assume @p76 (forall @t47 (=> @t142 (= @t141 @t138)))) % 0.93/1.14 (assume @p77 (forall @t47 (=> @t139 (= @t138 @t141)))) % 0.93/1.14 (assume @p78 (forall @t143 (=> @t142 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t55 @t55) @t8)))) % 0.93/1.14 (assume @p79 (forall @t143 (=> @t142 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t55 @t8) @t55)))) % 0.93/1.14 (assume @p80 (forall @t147 (tptp.hBOOL (tptp.hAPP @t146 @t144)))) % 0.93/1.14 (assume @p81 (forall @t155 (=> @t89 (= @t154 @t153)))) % 0.93/1.14 (assume @p82 (forall @t155 (=> @t89 (= @t157 @t156)))) % 0.93/1.14 (assume @p83 (forall @t155 (=> @t14 (= @t164 @t163)))) % 0.93/1.14 (assume @p84 (forall @t155 (=> @t89 (= @t165 (or @t156 @t153))))) % 0.93/1.14 (assume @p85 (forall @t169 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t166 @t50) @t145) @t168))) % 0.93/1.14 (assume @p86 (forall @t175 (=> @t174 @t172))) % 0.93/1.14 (assume @p87 (forall @t176 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t55 @t56) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95) @t55)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t55 @t95) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t95)))))) % 0.93/1.14 (assume @p88 (forall @t184 (=> @t183 (=> @t182 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t180 @t179) @t177))))) % 0.93/1.14 (assume @p89 (forall @t184 (=> @t183 (=> @t182 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t180) @t179)) @t168))))) % 0.93/1.14 (assume @p90 (forall @t188 (=> (tptp.hBOOL (tptp.hAPP @t186 @t170)) (=> @t187 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t185) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t185)) @t171))))) % 0.93/1.14 (assume @p91 (forall @t184 (=> @t183 (=> @t182 (= (= @t180 @t179) @t189))))) % 0.93/1.14 (assume @p92 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t145)))) % 0.93/1.14 (assume @p93 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t144)))) % 0.93/1.14 (assume @p94 (forall @t193 (= @t192 @t190))) % 0.93/1.14 (assume @p95 (forall @t169 (= @t195 (or @t177 @t194)))) % 0.93/1.14 (assume @p96 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t145 @t144) @t145))) % 0.93/1.14 (assume @p97 (forall @t196 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t166)) @t177))) % 0.93/1.14 (assume @p98 (forall @t197 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t145) @t170))) % 0.93/1.14 (assume @p99 (forall @t197 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t170) @t145))) % 0.93/1.14 (assume @p100 (forall @t116 (=> @t85 (= (tptp.c_Orderings_Oord__class_Oless @t83 @t2 @t1) (and @t84 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t83 @t1) @t2)))))))) % 0.93/1.14 (assume @p101 (forall @t202 (= @t201 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t199 @t185) @t198)))) % 0.93/1.14 (assume @p102 (forall @t155 (=> @t89 (=> @t154 @t165)))) % 0.93/1.14 (assume @p103 (forall @t155 (=> @t89 (=> @t157 @t165)))) % 0.93/1.14 (assume @p104 (forall @t204 (=> @t118 (=> (not @t203) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t38))))) % 0.93/1.14 (assume @p105 (forall @t207 (=> @t206 (=> @t205 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t170))))) % 0.93/1.14 (assume @p106 (forall @t175 (=> @t210 @t209))) % 0.93/1.14 (assume @p107 (forall @t207 (=> @t213 @t212))) % 0.93/1.14 (assume @p108 (forall (@list @t214 @t215) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t214) (not (= @t215 @t214))))) % 0.93/1.14 (assume @p109 (forall (@list @t144 @t185 @t198) (=> @t216 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t198 @t144) @t185)))) % 0.93/1.14 (assume @p110 (forall @t220 (=> @t210 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t217) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t219 @t218))))) % 0.93/1.14 (assume @p111 (forall @t175 (=> @t172 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t170) @t145) @t211)))) % 0.93/1.14 (assume @p112 (forall @t147 (=> @t209 @t206))) % 0.93/1.14 (assume @p113 (forall (@list @t221 @t50 @t166) (=> (=> @t177 @t223) (=> (=> @t189 @t223) (=> (=> @t194 @t223) @t223))))) % 0.93/1.14 (assume @p114 (forall @t147 (tptp.hBOOL (tptp.hAPP @t224 @t144)))) % 0.93/1.14 (assume @p115 (forall @t175 (or @t174 @t225))) % 0.93/1.14 (assume @p116 (forall @t175 (=> @t211 @t174))) % 0.93/1.14 (assume @p117 (forall @t202 (=> @t228 (=> (tptp.hBOOL (tptp.hAPP @t227 @t185)) (tptp.hBOOL (tptp.hAPP @t226 @t185)))))) % 0.93/1.14 (assume @p118 (forall @t175 (=> @t174 (=> @t225 @t211)))) % 0.93/1.14 (assume @p119 (forall @t193 (= (tptp.hBOOL (tptp.hAPP @t51 @t145)) @t191))) % 0.93/1.14 (assume @p120 (forall @t169 (= @t177 (and @t168 @t195)))) % 0.93/1.14 (assume @p121 (forall @t169 (= @t168 @t229))) % 0.93/1.14 (assume @p122 (forall @t175 (=> @t210 @t174))) % 0.93/1.14 (assume @p123 (forall @t175 (=> @t174 (=> @t212 @t210)))) % 0.93/1.14 (assume @p124 (forall @t175 (=> (or @t210 @t211) @t174))) % 0.93/1.14 (assume @p125 (forall @t175 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t171) @t170)))) % 0.93/1.14 (assume @p126 (forall @t220 (=> @t174 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t219) @t218))))) % 0.93/1.14 (assume @p127 (forall @t220 (=> @t174 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t217)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t217)))))) % 0.93/1.14 (assume @p128 (forall @t230 (=> (tptp.hBOOL (tptp.hAPP @t226 @t144)) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t199)) @t199)))) % 0.93/1.14 (assume @p129 (forall @t234 (= @t233 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t231) @t13))))) % 0.93/1.14 (assume @p130 (forall @t204 (=> @t203 @t236))) % 0.93/1.14 (assume @p131 (forall @t234 (= @t237 (and @t233 @t136)))) % 0.93/1.14 (assume @p132 (forall @t234 (= @t233 (or @t237 @t110)))) % 0.93/1.14 (assume @p133 (forall @t155 (=> @t14 (=> @t164 @t163)))) % 0.93/1.14 (assume @p134 (forall (@list @t148 @t238 @t7) (=> @t14 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t238) @t240)))) % 0.93/1.14 (assume @p135 (forall (@list @t238 @t148 @t241 @t7) (=> @t14 (=> (forall @t24 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241) @t18)) @t239)) @t164)))) % 0.93/1.14 (assume @p136 (forall (@list @t244 @t7) (=> @t75 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t7 @t244) @t145) (= @t244 @t243))))) % 0.93/1.14 (assume @p137 (forall (@list @t238 @t148 @t7) (=> @t14 @t240))) % 0.93/1.14 (assume @p138 (forall @t155 (=> @t89 (=> @t153 @t165)))) % 0.93/1.14 (assume @p139 (forall @t250 (=> @t249 (=> @t248 @t246)))) % 0.93/1.14 (assume @p140 (forall @t202 (=> (tptp.hBOOL (tptp.hAPP @t251 @t198)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t198) @t185)) (tptp.hBOOL (tptp.hAPP @t251 @t185)))))) % 0.93/1.14 (assume @p141 (forall @t250 (or @t249 @t248))) % 0.93/1.14 (assume @p142 (forall @t252 (tptp.hBOOL (tptp.hAPP @t247 @t245)))) % 0.93/1.14 (assume @p143 (forall @t155 (=> @t89 (=> @t156 @t165)))) % 0.93/1.14 (assume @p144 (forall @t234 (= (tptp.c_HOL_Oequal__class_Oequal tptp.tc_RealDef_Oreal @t9 @t109) (= @t231 @t13)))) % 0.93/1.14 (assume @p145 (forall @t60 (=> @t14 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t73)) @t59))))) % 0.93/1.14 (assume @p146 (forall @t234 (= @t237 (tptp.c_RealDef_Opositive (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t109 @t9))))) % 0.93/1.14 (assume @p147 (forall @t193 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t254) @t190))) % 0.93/1.14 (assume @p148 (forall (@list @t50 @t221) (=> @t261 (=> (tptp.hBOOL @t222) (exists @t259 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255) @t50)) (forall @t258 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t256 @t255) (not @t257))) (tptp.hBOOL (tptp.hAPP @t221 @t255)))))))) % 0.93/1.14 (assume @p149 (forall (@list @t50 @t7) (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t263) @t190)))) % 0.93/1.14 (assume @p150 (forall @t266 (=> @t139 (= (tptp.c_Groups_Ominus__class_Ominus @t242 @t265 @t243) @t265)))) % 0.93/1.14 (assume @p151 (forall @t275 (=> @t264 (=> @t128 (=> @t274 (=> @t206 @t272)))))) % 0.93/1.14 (assume @p152 (forall @t147 (tptp.hBOOL (tptp.hAPP @t66 @t276)))) % 0.93/1.14 (assume @p153 (forall @t279 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t7) (=> @t278 (not (= @t271 @t8)))))) % 0.93/1.14 (assume @p154 (= @t253 @t280)) % 0.93/1.14 (assume @p155 (forall @t282 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t281) @t281))) % 0.93/1.14 (assume @p156 (forall @t175 (= @t288 @t285))) % 0.93/1.14 (assume @p157 (forall @t175 (= @t285 @t288))) % 0.93/1.14 (assume @p158 (forall @t196 (= (= @t254 @t290) @t289))) % 0.93/1.14 (assume @p159 (forall @t279 (=> @t293 (tptp.hBOOL (tptp.hAPP @t273 @t292))))) % 0.93/1.14 (assume @p160 (forall @t296 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t294) @t295))) % 0.93/1.14 (assume @p161 (forall @t143 (=> @t297 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t291) @t291)))) % 0.93/1.14 (assume @p162 (forall @t300 (=> @t299 (= (tptp.hAPP @t262 @t287) (tptp.hAPP (tptp.hAPP @t267 @t298) @t144))))) % 0.93/1.14 (assume @p163 (forall @t279 (=> @t293 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t271) @t292)))) % 0.93/1.14 (assume @p164 (forall @t306 (=> @t305 (= @t304 @t301)))) % 0.93/1.14 (assume @p165 (forall @t309 (=> @t308 (= (tptp.c_RealVector_Onorm__class_Onorm @t7 @t307) (tptp.hAPP @t280 @t144))))) % 0.93/1.14 (assume @p166 (forall @t309 (=> @t293 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t307) @t307)))) % 0.93/1.14 (assume @p167 (forall @t311 (=> (tptp.class_Nat_Osemiring__char__0 @t7) (= (= @t310 @t263) @t189)))) % 0.93/1.14 (assume @p168 (forall @t306 (=> @t308 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t304) @t301))))) % 0.93/1.14 (assume @p169 (forall @t41 (=> @t297 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t8) @t8)))) % 0.93/1.14 (assume @p170 (forall @t314 (=> @t297 (= (= @t313 @t8) @t312)))) % 0.93/1.14 (assume @p171 (forall @t143 (=> @t297 (tptp.hBOOL (tptp.hAPP @t102 @t291))))) % 0.93/1.14 (assume @p172 (forall @t60 (=> @t297 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t291) @t56)) @t104)))) % 0.93/1.14 (assume @p173 (forall @t60 (=> @t297 (= @t316 @t315)))) % 0.93/1.14 (assume @p174 (forall @t143 (=> @t14 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t72) @t72)))) % 0.93/1.14 (assume @p175 (forall @t279 (=> @t264 (=> @t274 (tptp.hBOOL (tptp.hAPP @t273 @t271)))))) % 0.93/1.14 (assume @p176 (forall @t275 (=> @t264 (=> @t104 (=> @t274 (tptp.hBOOL (tptp.hAPP @t317 @t269))))))) % 0.93/1.14 (assume @p177 (forall @t279 (=> @t264 (=> @t318 (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t271))))) % 0.93/1.14 (assume @p178 (forall (@list @t50 @t43 @t7) (=> (and @t324 @t323 @t322 @t321) (= (= @t320 @t8) (and @t312 @t192))))) % 0.93/1.14 (assume @p179 (forall @t328 (= @t327 (or @t325 @t191)))) % 0.93/1.14 (assume @p180 (forall (@list @t144 @t170 @t199) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t199) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t329 @t170) @t330) @t210)))) % 0.93/1.14 (assume @p181 (forall @t143 (=> @t297 (tptp.hBOOL (tptp.hAPP @t273 @t291))))) % 0.93/1.14 (assume @p182 (forall @t314 (=> @t297 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t313) @t8)) @t312)))) % 0.93/1.14 (assume @p183 (forall @t143 (=> @t297 (=> @t274 @t331)))) % 0.93/1.14 (assume @p184 (forall @t143 (=> @t297 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t291 @t8))))) % 0.93/1.14 (assume @p185 (forall @t314 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t313) (not @t312))))) % 0.93/1.14 (assume @p186 (forall @t143 (=> @t297 (=> @t318 @t331)))) % 0.93/1.14 (assume @p187 (forall @t60 (=> @t297 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.c_Groups_Oabs__class_Oabs @t7 @t333)) @t316))))) % 0.93/1.14 (assume @p188 (forall @t60 (=> @t297 (tptp.hBOOL (tptp.hAPP @t334 @t316))))) % 0.93/1.14 (assume @p189 (forall @t60 (=> @t297 (tptp.hBOOL (tptp.hAPP @t334 @t315))))) % 0.93/1.14 (assume @p190 (forall @t335 (=> @t264 (tptp.hBOOL (tptp.hAPP @t273 @t298))))) % 0.93/1.14 (assume @p191 (forall @t309 (=> @t264 (tptp.hBOOL (tptp.hAPP @t273 @t307))))) % 0.93/1.14 (assume @p192 (forall @t335 (=> @t264 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t298 @t8))))) % 0.93/1.14 (assume @p193 (forall @t41 (=> @t299 (= (tptp.hAPP @t262 @t145) @t8)))) % 0.93/1.14 (assume @p194 (forall @t311 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t310 @t263) @t177)))) % 0.93/1.14 (assume @p195 (forall @t300 (=> @t264 (=> @t210 @t336)))) % 0.93/1.14 (assume @p196 (forall @t300 (=> @t264 (=> @t336 @t210)))) % 0.93/1.14 (assume @p197 (forall @t338 (=> @t264 (=> @t272 (=> @t337 @t128))))) % 0.93/1.14 (assume @p198 (forall @t311 (=> @t264 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t310) @t263)) @t168)))) % 0.93/1.14 (assume @p199 (forall @t193 (= (= @t254 @t13) @t191))) % 0.93/1.14 (assume @p200 (= (tptp.hAPP @t253 @t145) @t13)) % 0.93/1.14 (assume @p201 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t276 @t13)))) % 0.93/1.14 (assume @p202 (forall @t196 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t254 @t290) @t194))) % 0.93/1.14 (assume @p203 (forall @t196 (= (tptp.hBOOL (tptp.hAPP @t340 @t290)) @t339))) % 0.93/1.14 (assume @p204 (not (tptp.c_RealDef_Opositive @t13))) % 0.93/1.14 (assume @p205 (forall @t338 (=> @t264 (=> (= @t271 @t269) (=> @t274 (=> @t337 (=> @t206 @t107))))))) % 0.93/1.14 (assume @p206 (forall @t193 (= (tptp.hBOOL (tptp.hAPP @t340 @t13)) @t191))) % 0.93/1.14 (assume @p207 (forall @t342 (=> @t341 (=> @t225 (= (tptp.hAPP @t262 @t171) (tptp.c_Groups_Ominus__class_Ominus @t7 @t298 @t307)))))) % 0.93/1.14 (assume @p208 (forall @t207 (=> @t225 (= (tptp.hAPP @t253 @t171) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t283 @t276))))) % 0.93/1.14 (assume @p209 (forall (@list @t109 @t9 @t221) (= (tptp.hBOOL (tptp.hAPP @t221 (tptp.hAPP @t346 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t9 @t109)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t109) @t9)) (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t348 @t347)))) (=> @t345 @t344))))) % 0.93/1.14 (assume @p210 (forall @t207 (=> @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t350 @t349) (tptp.hAPP @t346 @t171))))) % 0.93/1.14 (assume @p211 (forall @t193 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t351) @t190))) % 0.93/1.14 (assume @p212 (forall @t328 (= @t327 (or @t191 @t325)))) % 0.93/1.14 (assume @p213 (forall @t357 (=> @t356 (= @t355 (exists @t26 (forall @t24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t353 @t352))))))) % 0.93/1.14 (assume @p214 (forall @t357 (=> @t356 (= @t355 (exists @t26 (forall @t24 (tptp.hBOOL (tptp.hAPP @t354 @t352)))))))) % 0.93/1.14 (assume @p215 (forall @t366 (=> @t365 (=> @t364 (exists @t363 (and @t362 (forall @t361 (=> @t360 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55) @t358)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t358) @t56))))))))))) % 0.93/1.14 (assume @p216 (forall @t155 (=> @t14 (= @t164 (exists @t26 (forall @t24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t159 @t352))))))) % 0.93/1.14 (assume @p217 (forall @t175 (=> @t210 @t369))) % 0.93/1.14 (assume @p218 (forall @t147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t367))) % 0.93/1.14 (assume @p219 (forall @t147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t367))) % 0.93/1.14 (assume @p220 (forall @t371 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t370 @t343)))) % 0.93/1.14 (assume @p221 (forall @t147 (tptp.hBOOL (tptp.hAPP @t372 @t349)))) % 0.93/1.14 (assume @p222 (forall @t374 (tptp.hBOOL (tptp.hAPP @t372 (tptp.hAPP (tptp.hAPP @t373 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t38)) @t144))))) % 0.93/1.14 (assume @p223 (forall @t328 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 (tptp.hAPP (tptp.hAPP @t373 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t9)) @t50)) (or (not (= @t9 @t343)) @t191)))) % 0.93/1.14 (assume @p224 (forall @t376 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t375) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t178 @t375) @t343)))) % 0.93/1.14 (assume @p225 (forall @t169 (= (= @t377 @t351) @t189))) % 0.93/1.14 (assume @p226 (forall @t175 (= @t379 @t378))) % 0.93/1.14 (assume @p227 (forall @t175 (= @t378 @t379))) % 0.93/1.14 (assume @p228 (forall @t197 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t350) @t350))) % 0.93/1.14 (assume @p229 (forall @t204 (=> (= (tptp.c_Nat_OSuc @t38) (tptp.c_Nat_OSuc @t76)) @t91))) % 0.93/1.14 (assume @p230 (forall (@list @t380 @t381) (= (= (tptp.c_Nat_OSuc @t381) (tptp.c_Nat_OSuc @t380)) (= @t381 @t380)))) % 0.93/1.14 (assume @p231 (forall @t147 (not (= @t367 @t144)))) % 0.93/1.14 (assume @p232 (forall @t147 (not (= @t144 @t367)))) % 0.93/1.14 (assume @p233 (forall @t204 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t76) @t91 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t76 @t38)))) % 0.93/1.14 (assume @p234 (forall @t384 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t383 @t382) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t383) @t382)) (not (= @t383 @t382)))))) % 0.93/1.14 (assume @p235 (forall @t197 (not (= @t368 @t145)))) % 0.93/1.14 (assume @p236 (forall @t197 (not (= @t145 @t368)))) % 0.93/1.14 (assume @p237 (forall (@list @t385) (not (= (tptp.c_Nat_OSuc @t385) @t145)))) % 0.93/1.14 (assume @p238 (forall (@list @t386) (not (= @t145 (tptp.c_Nat_OSuc @t386))))) % 0.93/1.14 (assume @p239 (forall (@list @t166 @t9) (= (= (tptp.hAPP @t326 @t166) @t387) (or @t388 (= @t9 @t387))))) % 0.93/1.14 (assume @p240 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t286 @t387) @t144) @t387))) % 0.93/1.14 (assume @p241 (forall @t175 (=> @t369 @t210))) % 0.93/1.14 (assume @p242 (forall @t175 (=> @t389 @t210))) % 0.93/1.14 (assume @p243 (forall @t175 (=> @t391 (=> @t390 @t211)))) % 0.93/1.14 (assume @p244 (forall @t202 (=> @t393 (=> @t216 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t392 @t185))))) % 0.93/1.14 (assume @p245 (forall @t175 (=> @t210 (=> (not (= @t368 @t144)) @t389)))) % 0.93/1.14 (assume @p246 (forall @t175 (=> @t210 @t391))) % 0.93/1.14 (assume @p247 (forall @t207 (=> (not @t213) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t368) @t211)))) % 0.93/1.14 (assume @p248 (forall @t196 (=> (not @t194) @t396))) % 0.93/1.14 (assume @p249 (forall @t169 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t394 @t397) @t177))) % 0.93/1.14 (assume @p250 (forall @t169 (= @t398 @t229))) % 0.93/1.14 (assume @p251 (forall @t169 (= (not @t177) @t395))) % 0.93/1.14 (assume @p252 (forall @t175 (=> @t399 @t174))) % 0.93/1.14 (assume @p253 (forall @t175 (=> @t400 (=> (not @t174) (= @t170 @t367))))) % 0.93/1.14 (assume @p254 (forall @t175 (=> @t174 @t400))) % 0.93/1.14 (assume @p255 (forall @t196 (= (tptp.hBOOL (tptp.hAPP @t401 @t394)) @t339))) % 0.93/1.14 (assume @p256 (forall @t169 (= (tptp.hBOOL (tptp.hAPP @t167 @t397)) (or @t168 (= @t166 @t397))))) % 0.93/1.14 (assume @p257 (forall @t169 (= (not @t168) @t402))) % 0.93/1.14 (assume @p258 (forall @t147 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367) @t144))))) % 0.93/1.14 (assume @p259 (forall @t404 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t403 (tptp.c_Nat_OSuc @t185)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t171 @t185)))) % 0.93/1.14 (assume @p260 (forall @t175 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t367) @t171))) % 0.93/1.14 (assume @p261 (forall @t282 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t405) (or (= @t38 @t145) (= @t38 @t387))))) % 0.93/1.14 (assume @p262 (forall @t309 (=> @t407 (= (tptp.hAPP @t406 @t367) @t8)))) % 0.93/1.14 (assume @p263 (forall @t169 (= @t398 (or @t388 (exists @t409 (and (= @t166 (tptp.c_Nat_OSuc @t408)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t408 @t50))))))) % 0.93/1.14 (assume @p264 (forall @t193 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t387) @t191))) % 0.93/1.14 (assume @p265 (forall @t193 (= @t190 (exists (@list @t68) (= @t50 (tptp.c_Nat_OSuc @t68)))))) % 0.93/1.14 (assume @p266 (forall @t230 (=> (tptp.hBOOL (tptp.hAPP @t410 @t199)) (tptp.hBOOL (tptp.hAPP @t410 @t330))))) % 0.93/1.14 (assume @p267 (forall @t196 (= @t194 @t402))) % 0.93/1.14 (assume @p268 (forall @t169 (= @t398 @t168))) % 0.93/1.14 (assume @p269 (forall @t169 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t394) @t50)) @t177))) % 0.93/1.14 (assume @p270 (forall @t175 (=> @t174 @t391))) % 0.93/1.14 (assume @p271 (forall @t175 (=> @t210 @t399))) % 0.93/1.14 (assume @p272 (forall @t169 (=> @t168 @t396))) % 0.93/1.14 (assume @p273 (forall @t175 (=> @t399 @t210))) % 0.93/1.14 (assume @p274 (forall @t175 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t368))) % 0.93/1.14 (assume @p275 (forall @t207 (=> @t225 (= @t403 (tptp.c_Nat_OSuc @t171))))) % 0.93/1.14 (assume @p276 (forall @t155 (=> @t89 (= @t165 (or @t413 (forall @t24 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t412) @t150)))))))) % 0.93/1.14 (assume @p277 (forall @t70 (= @t52 (forall @t24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 (tptp.hAPP @t2 @t411)))))) % 0.93/1.14 (assume @p278 (forall @t338 (=> @t264 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t415) @t414)) (=> @t337 @t104))))) % 0.93/1.14 (assume @p279 (forall @t338 (=> @t264 (=> (= @t415 @t414) (=> @t274 (=> @t337 @t107)))))) % 0.93/1.14 (assume @p280 (forall (@list @t199 @t144) (=> @t206 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t392) @t144)))) % 0.93/1.14 (assume @p281 (forall @t147 (=> @t206 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t387)) @t144)))) % 0.93/1.14 (assume @p282 (forall @t147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t416))) % 0.93/1.14 (assume @p283 (= @t417 @t343)) % 0.93/1.14 (assume @p284 (forall @t193 (= (= @t351 @t343) @t191))) % 0.93/1.14 (assume @p285 (forall @t193 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t351) @t343)) @t191))) % 0.93/1.14 (assume @p286 (forall @t169 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t377 @t351) @t177))) % 0.93/1.14 (assume @p287 (forall @t169 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t377) @t351)) @t168))) % 0.93/1.14 (assume @p288 (forall @t155 (=> @t14 (= @t164 (exists @t26 (forall @t24 (tptp.hBOOL (tptp.hAPP @t160 @t352)))))))) % 0.93/1.14 (assume @p289 (forall @t234 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t348 @t347) @t345))) % 0.93/1.14 (assume @p290 (= @t343 @t417)) % 0.93/1.14 (assume @p291 (forall @t374 (= (tptp.hAPP (tptp.hAPP @t373 @t418) @t144) (tptp.hAPP @t346 (tptp.hAPP (tptp.hAPP @t286 @t38) @t144))))) % 0.93/1.14 (assume @p292 (forall @t234 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t348) @t347)) @t419))) % 0.93/1.14 (assume @p293 (forall @t420 (tptp.hBOOL (tptp.hAPP @t372 (tptp.hAPP @t346 @t86))))) % 0.93/1.14 (assume @p294 (forall @t424 (= (exists @t6 (and @t423 @t422)) (exists @t6 @t421)))) % 0.93/1.14 (assume @p295 (forall @t252 (tptp.hBOOL (tptp.hAPP @t425 @t245)))) % 0.93/1.14 (assume @p296 (forall @t250 (or @t428 @t426))) % 0.93/1.14 (assume @p297 (forall @t202 (=> @t430 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t198) @t185)) (tptp.hBOOL (tptp.hAPP @t429 @t185)))))) % 0.93/1.14 (assume @p298 (forall @t250 (=> @t428 (=> @t426 @t246)))) % 0.93/1.14 (assume @p299 (tptp.hBOOL (tptp.hAPP @t372 @t343))) % 0.93/1.14 (assume @p300 (forall @t374 (=> @t433 (tptp.hBOOL (tptp.hAPP @t372 @t432))))) % 0.93/1.14 (assume @p301 (forall @t234 (= (= @t348 @t347) @t110))) % 0.93/1.14 (assume @p302 (forall @t424 (= (forall @t6 (=> @t423 @t422)) (forall @t6 @t421)))) % 0.93/1.14 (assume @p303 (forall @t437 (and @t436 (=> (not @t435) (= @t434 @t343))))) % 0.93/1.14 (assume @p304 (forall @t371 (=> @t439 (exists @t24 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t18) (= @t185 @t438)))))) % 0.93/1.14 (assume @p305 (forall @t366 (=> @t365 (=> @t364 (exists @t363 (and @t362 (forall @t361 (=> @t360 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t358) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t358 @t56)))))))))) % 0.93/1.14 (assume @p306 (forall (@list @t185 @t170) (=> @t205 (=> @t439 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t440 @t170) @t185) (tptp.hAPP @t440 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t387))))))) % 0.93/1.14 (assume @p307 (forall @t437 @t436)) % 0.93/1.14 (assume @p308 (forall @t204 (= (tptp.c_Nat__Transfer_Otsub @t418 @t441) (tptp.hAPP @t346 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t76))))) % 0.93/1.14 (assume @p309 (forall (@list @t56) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t343 @t56) @t343))) % 0.93/1.14 (assume @p310 (forall @t143 (=> @t442 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t55 @t8) @t8)))) % 0.93/1.14 (assume @p311 (forall @t143 (=> @t442 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t8 @t55) @t8)))) % 0.93/1.14 (assume @p312 (forall @t204 (=> @t433 (=> @t444 (tptp.hBOOL (tptp.hAPP @t372 @t443)))))) % 0.93/1.14 (assume @p313 (forall @t448 (=> @t447 (=> @t446 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t445 @t343))))) % 0.93/1.14 (assume @p314 (forall @t452 (=> @t451 (= @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t43))))) % 0.93/1.14 (assume @p315 (forall @t452 (=> @t453 (= @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t343))))) % 0.93/1.14 (assume @p316 (forall @t459 (=> @t458 (=> @t456 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t455) @t445)))))) % 0.93/1.14 (assume @p317 (forall @t459 (=> @t458 (=> @t446 (tptp.hBOOL (tptp.hAPP @t460 @t455)))))) % 0.93/1.14 (assume @p318 (forall @t448 (=> @t462 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t55) @t461)))) % 0.93/1.14 (assume @p319 (forall @t467 (=> @t447 (=> @t466 (=> @t465 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t464) @t445))))))) % 0.93/1.14 (assume @p320 (forall @t448 (=> @t462 (=> @t446 @t468)))) % 0.93/1.14 (assume @p321 (forall @t452 (=> @t451 (= @t469 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t43) @t343)))))) % 0.93/1.14 (assume @p322 (forall @t448 (=> @t470 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t56) @t461)))) % 0.93/1.14 (assume @p323 (forall @t448 (=> @t470 (=> @t456 @t468)))) % 0.93/1.14 (assume @p324 (forall @t467 (=> @t470 (=> @t466 (=> @t465 (tptp.hBOOL (tptp.hAPP @t460 @t464))))))) % 0.93/1.14 (assume @p325 (forall (@list @t42 @t43) (=> @t471 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t449) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t42) @t43)) @t453))))) % 0.93/1.14 (assume @p326 (forall (@list @t472 @t178) (=> @t474 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t473) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t178) @t472)))))) % 0.93/1.14 (assume @p327 (forall @t452 (=> @t453 (= @t469 @t471)))) % 0.93/1.14 (assume @p328 (forall (@list @t178 @t472) (= (= @t473 @t343) (or @t476 (and (tptp.hBOOL (tptp.hAPP @t372 @t472)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t472 @t178)) (and @t475 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t472)))))) % 0.93/1.14 (assume @p329 (forall @t204 (=> @t433 (=> @t444 (tptp.hBOOL (tptp.hAPP @t372 @t434)))))) % 0.93/1.14 (assume @p330 (forall @t479 (=> @t478 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t166) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t382 @t377))))) % 0.93/1.14 (assume @p331 (forall @t207 (=> @t206 (=> @t225 @t481)))) % 0.93/1.14 (assume @p332 (forall @t155 (=> @t89 (=> @t413 @t157)))) % 0.93/1.14 (assume @p333 (forall @t204 (=> @t433 (=> @t444 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t483 @t482) (tptp.hAPP tptp.c_Int_Onat @t434)))))) % 0.93/1.14 (assume @p334 (forall @t266 (=> @t75 (and (=> @t486 (= @t485 @t145)) (=> @t487 (= @t485 (tptp.c_Nat_OSuc @t484))))))) % 0.93/1.14 (assume @p335 (forall (@list @t7 @t383 @t2 @t82) (=> (tptp.class_Groups_Ozero @t82) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t82)) @t488) @t383) @t383) (= (tptp.c_Polynomial_Opoly__rec @t7 @t82 @t383 @t2 @t488) @t383))))) % 0.93/1.14 (assume @p336 (forall @t81 (=> @t490 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t38) (tptp.c_Polynomial_Odegree @t7 @t76)) (= @t489 @t243))))) % 0.93/1.14 (assume @p337 (forall @t175 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t480) @t170)))) % 0.93/1.14 (assume @p338 (forall @t404 (=> @t174 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t170 @t185)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t144 @t185)))))) % 0.93/1.14 (assume @p339 (forall @t147 (= (tptp.hAPP tptp.c_Int_Onat @t349) @t144))) % 0.93/1.14 (assume @p340 (forall @t204 (=> @t433 (= @t492 @t491)))) % 0.93/1.14 (assume @p341 (forall @t204 (=> @t433 (=> @t444 (= @t491 @t492))))) % 0.93/1.14 (assume @p342 (forall @t197 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t170 @t387) @t170))) % 0.93/1.14 (assume @p343 (forall @t175 @t493)) % 0.93/1.14 (assume @p344 (forall @t41 (=> @t75 (= (tptp.c_Polynomial_Odegree @t7 @t243) @t145)))) % 0.93/1.14 (assume @p345 (= @t145 @t494)) % 0.93/1.14 (assume @p346 (= @t494 @t145)) % 0.93/1.14 (assume @p347 (forall @t234 (=> @t498 (=> @t497 (= (= @t496 @t495) @t110))))) % 0.93/1.14 (assume @p348 (forall @t424 (= (forall @t502 @t501) (forall @t6 (=> @t423 @t499))))) % 0.93/1.14 (assume @p349 (forall @t424 (= (exists @t502 @t501) (exists @t6 (and @t423 @t499))))) % 0.93/1.14 (assume @p350 (forall (@list @t503 @t383) (=> @t505 (=> (tptp.hBOOL (tptp.hAPP @t372 @t503)) (= (= @t504 (tptp.hAPP tptp.c_Int_Onat @t503)) (= @t383 @t503)))))) % 0.93/1.14 (assume @p351 (forall @t204 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t418 @t441) (tptp.hAPP @t346 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t38 @t76))))) % 0.93/1.14 (assume @p352 (forall @t448 (= (tptp.hAPP @t346 @t506) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t346 @t55) (tptp.hAPP @t346 @t56))))) % 0.93/1.14 (assume @p353 (forall @t512 (=> @t139 (=> @t511 (=> @t510 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t508 @t144)))))) % 0.93/1.14 (assume @p354 (forall @t512 (=> @t139 (=> @t514 (=> @t513 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t508) @t144))))))) % 0.93/1.14 (assume @p355 (forall @t404 (=> @t205 (=> @t174 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t185 @t144)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t185 @t170))))))) % 0.93/1.14 (assume @p356 (forall @t420 (=> (tptp.hBOOL (tptp.hAPP @t427 @t343)) (= @t515 @t145)))) % 0.93/1.14 (assume @p357 (forall (@list @t472) (= (= @t516 @t145) @t475))) % 0.93/1.14 (assume @p358 (forall @t384 (=> @t520 @t519))) % 0.93/1.14 (assume @p359 (forall @t521 (= @t518 (and @t520 @t517)))) % 0.93/1.14 (assume @p360 (forall @t234 (=> @t498 (=> @t497 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t496) @t495)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t9) @t109))))))) % 0.93/1.14 (assume @p361 (forall @t420 @t524)) % 0.93/1.14 (assume @p362 (forall @t525 (= (= @t377 @t383) (and (= @t166 @t504) @t505)))) % 0.93/1.14 (assume @p363 (forall @t420 (and @t524 (=> (not @t523) (= @t522 @t343))))) % 0.93/1.14 (assume @p364 (forall @t525 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 @t504) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t377 @t383)))) % 0.93/1.14 (assume @p365 (forall @t207 (=> @t206 (and @t493 @t526)))) % 0.93/1.14 (assume @p366 (forall @t207 (=> @t206 @t526))) % 0.93/1.14 (assume @p367 (forall @t527 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t504) @t520))) % 0.93/1.14 (assume @p368 (forall @t234 (=> @t498 (=> @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t496 @t495) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t9 @t109)))))) % 0.93/1.14 (assume @p369 (forall @t521 (=> @t478 @t519))) % 0.93/1.14 (assume @p370 (forall @t521 (=> (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t382) @t505) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t477) @t504)) @t529)))) % 0.93/1.14 (assume @p371 (forall @t479 (= (= @t477 @t166) @t530))) % 0.93/1.14 (assume @p372 (forall (@list @t382 @t166) (= (= @t166 @t477) @t530))) % 0.93/1.14 (assume @p373 (forall (@list @t472 @t221) (= (tptp.hBOOL (tptp.hAPP @t221 @t516)) (and (forall @t24 (=> (= @t472 @t438) (tptp.hBOOL (tptp.hAPP @t221 @t18)))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t472 @t343) @t260))))) % 0.93/1.14 (assume @p374 (forall (@list @t86 @t531) (=> @t534 (=> @t533 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t86 @t531)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t515 @t532)))))) % 0.93/1.14 (assume @p375 (forall @t374 (=> @t433 (= (tptp.hAPP (tptp.hAPP @t286 @t483) @t144) (tptp.hAPP tptp.c_Int_Onat @t432))))) % 0.93/1.14 (assume @p376 (forall @t535 (=> @t523 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t373 @t86) @t144)) (tptp.hAPP (tptp.hAPP @t286 @t515) @t144))))) % 0.93/1.14 (assume @p377 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t372)) % 0.93/1.14 (assume @p378 (forall (@list @t55 @t265 @t7) (=> @t536 (=> @t487 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder @t7 @t55 @t265)) @t484)))))) % 0.93/1.14 (assume @p379 (forall (@list @t62 @t244 @t7) (=> @t537 (= (= (tptp.c_Polynomial_Osynthetic__div @t7 @t244 @t62) @t243) (= (tptp.c_Polynomial_Odegree @t7 @t244) @t145))))) % 0.93/1.14 (assume @p380 (forall @t527 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t387 @t504) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t538 @t383)))) % 0.93/1.14 (assume @p381 (forall (@list @t50 @t166 @t221) (= (tptp.hBOOL (tptp.hAPP @t221 @t542)) (or (and @t191 @t260) (exists (@list @t539) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t541 @t539)) @t166)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 (tptp.hAPP @t541 (tptp.c_Nat_OSuc @t539))) (tptp.hBOOL (tptp.hAPP @t221 @t539)))))))) % 0.93/1.14 (assume @p382 (forall @t279 (=> @t264 (=> @t547 (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t545))))) % 0.93/1.14 (assume @p383 (forall @t279 (=> @t264 (=> @t547 (tptp.c_Orderings_Oord__class_Oless @t7 @t271 @t545))))) % 0.93/1.14 (assume @p384 (forall @t404 (= (tptp.hAPP (tptp.hAPP @t540 @t551) @t185) (tptp.hAPP @t550 @t549)))) % 0.93/1.14 (assume @p385 (forall @t175 (= @t551 @t552))) % 0.93/1.14 (assume @p386 (forall @t106 (=> (tptp.class_Groups_Oab__semigroup__mult @t7) (= (tptp.hAPP (tptp.hAPP @t543 @t555) @t95) (tptp.hAPP @t544 @t554))))) % 0.93/1.14 (assume @p387 (forall @t143 (=> @t557 @t556))) % 0.93/1.14 (assume @p388 (forall @t143 (=> @t558 @t556))) % 0.93/1.14 (assume @p389 (forall @t15 (=> (tptp.class_Groups_Oone @t7) (= (= @t546 @t9) (= @t9 @t546))))) % 0.93/1.14 (assume @p390 (forall @t143 (=> @t557 @t559))) % 0.93/1.14 (assume @p391 (forall @t143 (=> @t558 @t559))) % 0.93/1.14 (assume @p392 (forall @t41 (=> @t308 (= (tptp.c_RealVector_Onorm__class_Onorm @t7 @t546) @t560)))) % 0.93/1.14 (assume @p393 (forall @t81 (=> @t305 (= @t566 @t563)))) % 0.93/1.14 (assume @p394 (forall @t300 (=> @t299 (= (tptp.hAPP @t262 @t551) (tptp.hAPP (tptp.hAPP @t543 @t298) @t307))))) % 0.93/1.14 (assume @p395 (forall @t41 (=> @t299 (= (tptp.hAPP @t262 @t567) @t546)))) % 0.93/1.14 (assume @p396 (forall @t572 (=> @t571 (=> @t570 (=> @t569 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t566 (tptp.hAPP @t568 @t215))))))) % 0.93/1.14 (assume @p397 (forall @t81 (=> @t571 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t566) @t563))))) % 0.93/1.14 (assume @p398 (forall @t40 (=> @t571 (= (tptp.hAPP @t564 @t8) @t8)))) % 0.93/1.14 (assume @p399 (forall @t143 (=> @t571 @t573))) % 0.93/1.14 (assume @p400 (forall @t575 (=> @t571 (= (tptp.hAPP @t574 @t76) @t8)))) % 0.93/1.14 (assume @p401 (forall (@list @t56 @t7) (=> @t571 (= (tptp.hAPP @t574 @t56) @t8)))) % 0.93/1.14 (assume @p402 (forall @t582 (=> @t571 (= (tptp.hAPP @t581 @t576) (tptp.c_Groups_Ominus__class_Ominus @t7 @t579 @t578))))) % 0.93/1.14 (assume @p403 (forall @t584 (=> @t571 (= (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Groups_Ominus__class_Ominus @t7 @t55 @t454)) @t56) (tptp.c_Groups_Ominus__class_Ominus @t7 @t555 @t583))))) % 0.93/1.14 (assume @p404 (forall @t589 (=> @t571 (= (tptp.hAPP @t586 @t580) (tptp.c_Groups_Ominus__class_Ominus @t7 @t588 @t587))))) % 0.93/1.14 (assume @p405 (forall @t591 (=> @t571 (= (tptp.hAPP @t544 (tptp.c_Groups_Ominus__class_Ominus @t7 @t56 @t463)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t555 @t590))))) % 0.93/1.14 (assume @p406 (forall @t279 (=> @t558 (= @t593 @t545)))) % 0.93/1.14 (assume @p407 (forall @t275 (=> @t557 (= (tptp.hAPP (tptp.hAPP @t267 @t555) @t144) (tptp.hAPP @t592 @t269))))) % 0.93/1.14 (assume @p408 (forall @t599 (= (= @t598 @t596) @t595))) % 0.93/1.14 (assume @p409 (forall @t184 (= @t603 @t595))) % 0.93/1.14 (assume @p410 (forall @t169 (= (= @t604 @t145) (or @t388 @t191)))) % 0.93/1.14 (assume @p411 (forall @t197 (= (tptp.hAPP @t550 @t145) @t145))) % 0.93/1.14 (assume @p412 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t540 @t145) @t144) @t145))) % 0.93/1.14 (assume @p413 (forall @t309 (=> @t558 (= (tptp.hAPP (tptp.hAPP @t267 @t546) @t144) @t546)))) % 0.93/1.14 (assume @p414 (forall @t606 (=> @t558 (= (tptp.hAPP @t270 @t551) (tptp.hAPP (tptp.hAPP @t267 @t605) @t144))))) % 0.93/1.14 (assume @p415 (forall @t184 (= (= @t609 @t608) @t189))) % 0.93/1.14 (assume @p416 (forall @t615 (=> @t228 (=> @t614 (tptp.hBOOL (tptp.hAPP @t613 (tptp.hAPP @t610 @t217))))))) % 0.93/1.14 (assume @p417 (forall @t202 (=> @t228 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t618) @t617))))) % 0.93/1.14 (assume @p418 (forall @t202 (=> @t228 (tptp.hBOOL (tptp.hAPP @t613 @t619))))) % 0.93/1.14 (assume @p419 (forall @t197 (tptp.hBOOL (tptp.hAPP @t173 (tptp.hAPP @t550 @t620))))) % 0.93/1.14 (assume @p420 (forall @t197 (tptp.hBOOL (tptp.hAPP @t173 @t620)))) % 0.93/1.14 (assume @p421 (forall @t143 (=> @t442 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t55 @t546) @t55)))) % 0.93/1.14 (assume @p422 (not (= @t343 @t538))) % 0.93/1.14 (assume @p423 (forall @t404 (= (tptp.hAPP (tptp.hAPP @t540 @t171) @t185) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t621 @t549)))) % 0.93/1.14 (assume @p424 (forall @t188 (= (tptp.hAPP @t616 @t171) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t623 @t622)))) % 0.93/1.14 (assume @p425 (forall @t176 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t55 (tptp.hAPP (tptp.hAPP @t540 @t56) @t95)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t506 @t95)))) % 0.93/1.14 (assume @p426 (forall @t625 (= (tptp.hAPP (tptp.hAPP @t373 @t624) @t86) (tptp.hAPP @t431 (tptp.hAPP (tptp.hAPP @t540 @t76) @t86))))) % 0.93/1.14 (assume @p427 (forall @t279 (=> @t264 (=> @t318 (=> @t626 (tptp.c_Orderings_Oord__class_Oless @t7 @t545 @t271)))))) % 0.93/1.14 (assume @p428 (forall @t279 (=> @t264 (=> @t628 (tptp.hBOOL (tptp.hAPP @t627 @t271)))))) % 0.93/1.14 (assume @p429 (forall (@list @t50 @t166 @t43 @t7) (=> @t264 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t43) (= (= (tptp.hAPP @t319 @t166) @t320) @t189))))) % 0.93/1.14 (assume @p430 (forall @t637 (=> @t442 (and (=> @t634 (= @t633 @t8)) @t636)))) % 0.93/1.14 (assume @p431 (forall @t130 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t555 @t56) @t55))))) % 0.93/1.14 (assume @p432 (forall @t130 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t640 @t56) @t55))))) % 0.93/1.14 (assume @p433 (forall @t637 (=> @t442 (=> @t635 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t641 @t554) @t629))))) % 0.93/1.14 (assume @p434 (forall @t637 (=> @t442 @t636))) % 0.93/1.14 (assume @p435 (forall @t279 (=> @t558 (= @t415 @t593)))) % 0.93/1.14 (assume @p436 (forall @t279 (=> @t324 (= @t415 @t545)))) % 0.93/1.14 (assume @p437 (forall @t143 (=> @t442 (=> @t278 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t55 @t55) @t546))))) % 0.93/1.14 (assume @p438 (forall @t143 (=> @t324 (= (tptp.hAPP @t270 @t145) @t546)))) % 0.93/1.14 (assume @p439 (forall @t169 (= (= @t604 @t387) (and @t643 @t642)))) % 0.93/1.14 (assume @p440 (forall @t202 (=> @t393 (=> @t644 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t618 @t617))))) % 0.93/1.14 (assume @p441 (forall @t202 (=> @t393 (=> @t644 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t612 @t619))))) % 0.93/1.14 (assume @p442 (forall @t599 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t598 @t596) @t646))) % 0.93/1.14 (assume @p443 (forall @t184 (= @t647 @t646))) % 0.93/1.14 (assume @p444 (forall @t169 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t604) (and @t648 @t190)))) % 0.93/1.14 (assume @p445 (forall @t184 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t609 @t608) @t177))) % 0.93/1.14 (assume @p446 (forall @t184 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t609) @t608)) @t168))) % 0.93/1.14 (assume @p447 (tptp.hBOOL (tptp.hAPP @t372 @t538))) % 0.93/1.14 (assume @p448 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t538)) % 0.93/1.14 (assume @p449 (forall (@list @t144 @t265 @t7) (=> @t650 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t242) @t265) @t144))) (tptp.hAPP @t649 @t144)))))) % 0.93/1.14 (assume @p450 (forall (@list @t95 @t7) (=> @t537 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t243 @t95) @t243)))) % 0.93/1.14 (assume @p451 (forall @t651 (=> (not (= @t55 @t343)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t55) @t538)))) % 0.93/1.14 (assume @p452 (forall @t309 (=> @t407 (and (=> @t208 (= @t652 @t546)) (=> @t209 (= @t652 @t8)))))) % 0.93/1.14 (assume @p453 (forall @t279 (=> @t264 (=> @t547 (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t415))))) % 0.93/1.14 (assume @p454 (forall @t656 (=> @t264 (=> @t655 (=> @t547 (tptp.c_Orderings_Oord__class_Oless @t7 @t271 @t654)))))) % 0.93/1.14 (assume @p455 (forall @t606 (=> @t264 (=> @t547 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t605 @t271) @t210))))) % 0.93/1.14 (assume @p456 (forall @t661 (=> @t264 (=> @t660 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t659 @t658) @t345))))) % 0.93/1.14 (assume @p457 (forall @t656 (=> @t264 (=> @t662 (=> @t628 (tptp.hBOOL (tptp.hAPP @t317 @t654))))))) % 0.93/1.14 (assume @p458 (forall @t207 (=> @t664 (=> @t663 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t387 @t551))))) % 0.93/1.14 (assume @p459 (forall @t207 (=> @t664 (=> @t663 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t552))))) % 0.93/1.14 (assume @p460 (forall @t207 (=> @t664 (=> @t663 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t551))))) % 0.93/1.14 (assume @p461 (forall @t169 (= (tptp.hBOOL (tptp.hAPP @t410 @t604)) (and (tptp.hBOOL (tptp.hAPP @t410 @t166)) (tptp.hBOOL (tptp.hAPP @t410 @t50)))))) % 0.93/1.14 (assume @p462 (forall @t184 (= @t666 @t665))) % 0.93/1.14 (assume @p463 (forall @t599 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t598) @t596)) @t665))) % 0.93/1.14 (assume @p464 (forall @t207 (=> @t206 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t551 @t144) @t170)))) % 0.93/1.14 (assume @p465 (forall @t207 (=> @t206 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t552 @t144) @t170)))) % 0.93/1.14 (assume @p466 (forall @t527 (= (tptp.hBOOL (tptp.hAPP @t667 @t383)) @t520))) % 0.93/1.14 (assume @p467 (= (tptp.hAPP @t346 @t387) @t538)) % 0.93/1.14 (assume @p468 (= @t668 @t387)) % 0.93/1.14 (assume @p469 (forall (@list @t185 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t538 @t185) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t38 @t185) @t38))))) % 0.93/1.14 (assume @p470 (forall @t521 (= (tptp.hBOOL (tptp.hAPP @t528 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t383 @t538))) @t517))) % 0.93/1.14 (assume @p471 (forall @t527 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t383) @t538) (= @t383 @t343)))) % 0.93/1.14 (assume @p472 (forall (@list @t144 @t294 @t7) (=> @t264 (=> (tptp.hBOOL (tptp.hAPP @t273 @t294)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t294) @t546)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t267 @t294) @t367)) @t294))))))) % 0.93/1.14 (assume @p473 (forall @t279 (=> @t264 (=> @t318 (=> @t626 (tptp.c_Orderings_Oord__class_Oless @t7 @t415 @t546)))))) % 0.93/1.14 (assume @p474 (forall @t656 (=> @t264 (=> @t655 (=> @t318 (=> @t626 (tptp.c_Orderings_Oord__class_Oless @t7 @t654 @t271))))))) % 0.93/1.14 (assume @p475 (forall @t656 (=> @t264 (=> @t662 (=> @t274 (=> (tptp.hBOOL (tptp.hAPP @t102 @t546)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t654) @t271)))))))) % 0.93/1.14 (assume @p476 (forall @t606 (=> @t264 (=> @t547 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t605) @t271)) @t174))))) % 0.93/1.14 (assume @p477 (forall @t661 (=> @t264 (=> @t660 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t659) @t658)) @t419))))) % 0.93/1.14 (assume @p478 (forall @t279 (=> @t264 (=> @t547 (=> @t206 (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t271)))))) % 0.93/1.14 (assume @p479 (forall (@list @t166 @t669 @t50) (=> @t190 (= (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t541 @t669)) @t166)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 (tptp.hAPP @t541 (tptp.c_Nat_OSuc @t669)))) (= @t669 @t542))))) % 0.93/1.14 (assume @p480 (forall (@list @t76 @t144 @t265 @t7) (=> @t558 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265) @t144)) (= (tptp.hAPP @t670 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t265)) (tptp.hAPP (tptp.hAPP @t543 (tptp.hAPP @t670 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t265))) @t76)))))) % 0.93/1.14 (assume @p481 (forall @t342 (=> @t324 (and (=> @t208 (= @t674 @t546)) (=> @t209 (= @t674 (tptp.hAPP @t673 (tptp.hAPP @t672 @t671)))))))) % 0.93/1.14 (assume @p482 (forall @t188 (=> @t644 @t676))) % 0.93/1.14 (assume @p483 (forall @t184 (=> @t645 (= @t666 @t168)))) % 0.93/1.14 (assume @p484 (forall @t81 (=> @t293 (=> @t678 (= (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Groups_Oabs__class_Oabs @t7 @t76)) @t38) (tptp.c_Groups_Oabs__class_Oabs @t7 @t677)))))) % 0.93/1.14 (assume @p485 (= (tptp.hAPP @t253 @t567) @t560)) % 0.93/1.14 (assume @p486 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t562 (tptp.hAPP @t683 @t680)) @t679) (tptp.hAPP @t683 (tptp.hAPP @t681 @t679))))) % 0.93/1.14 (assume @p487 (forall @t250 (= (tptp.hAPP @t685 @t245) (tptp.hAPP (tptp.hAPP @t562 @t245) @t86)))) % 0.93/1.14 (assume @p488 (forall @t420 (= (tptp.hAPP (tptp.hAPP @t562 @t560) @t86) @t86))) % 0.93/1.14 (assume @p489 (forall @t688 (=> @t687 (= (= (tptp.hAPP @t686 @t43) (tptp.hAPP @t686 @t42)) @t138)))) % 0.93/1.14 (assume @p490 (forall @t688 (=> @t687 (= (= (tptp.hAPP (tptp.hAPP @t562 @t43) @t62) (tptp.hAPP (tptp.hAPP @t562 @t42) @t62)) @t138)))) % 0.93/1.14 (assume @p491 (forall @t143 (=> @t558 (= (tptp.hAPP @t270 @t567) @t55)))) % 0.93/1.14 (assume @p492 (forall @t420 (= (tptp.hAPP (tptp.hAPP @t689 @t538) @t86) @t86))) % 0.93/1.14 (assume @p493 (forall @t420 (= (tptp.hAPP @t690 @t538) @t86))) % 0.93/1.14 (assume @p494 (not (= @t13 @t560))) % 0.93/1.14 (assume @p495 (forall @t266 (=> @t537 (= (tptp.hAPP @t692 @t243) @t243)))) % 0.93/1.14 (assume @p496 (forall @t693 (=> @t537 (= (tptp.hAPP (tptp.hAPP @t691 @t243) @t507) @t243)))) % 0.93/1.14 (assume @p497 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t540 @t567) @t144) @t144))) % 0.93/1.14 (assume @p498 (forall @t169 (= (= @t567 @t604) @t694))) % 0.93/1.14 (assume @p499 (forall @t147 (= (tptp.hAPP @t548 @t567) @t144))) % 0.93/1.14 (assume @p500 (forall @t169 (= (= @t604 @t567) @t694))) % 0.93/1.14 (assume @p501 (forall @t699 (= (tptp.hAPP @t695 @t698) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t697 @t696)))) % 0.93/1.14 (assume @p502 (forall @t704 (= (tptp.hAPP (tptp.hAPP @t689 @t698) @t245) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t703 @t701)))) % 0.93/1.14 (assume @p503 (forall @t94 (=> @t490 (= (tptp.c_Divides_Odiv__class_Odiv @t242 @t38 @t706) (tptp.c_Divides_Odiv__class_Odiv @t242 @t489 @t86))))) % 0.93/1.14 (assume @p504 (forall @t204 (=> @t709 (=> @t708 (tptp.c_RealDef_Opositive @t707))))) % 0.93/1.14 (assume @p505 (forall @t715 (=> @t714 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t713 @t711) @t237)))) % 0.93/1.14 (assume @p506 (forall @t204 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t38) (=> @t716 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t707))))) % 0.93/1.14 (assume @p507 (forall (@list @t76 @t38 @t86) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t86) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t76) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t685 @t38) (tptp.hAPP @t685 @t76)))))) % 0.93/1.14 (assume @p508 (forall @t204 (=> @t433 (=> @t444 (tptp.hBOOL (tptp.hAPP @t372 @t717)))))) % 0.93/1.14 (assume @p509 (forall @t202 (=> @t719 (=> @t439 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t718 @t199) (tptp.hAPP @t718 @t198)))))) % 0.93/1.14 (assume @p510 (= @t567 @t387)) % 0.93/1.14 (assume @p511 (forall @t175 (=> (= @t170 @t551) (or (= @t144 @t567) @t720)))) % 0.93/1.14 (assume @p512 (forall @t175 (= @t722 @t721))) % 0.93/1.14 (assume @p513 (forall @t175 (= @t721 @t722))) % 0.93/1.14 (assume @p514 (forall @t204 (= (tptp.hAPP (tptp.hAPP @t689 @t418) @t441) (tptp.hAPP @t346 (tptp.hAPP (tptp.hAPP @t540 @t38) @t76))))) % 0.93/1.14 (assume @p515 (forall @t41 (=> @t650 (= (tptp.c_Polynomial_Odegree @t7 (tptp.c_Groups_Oone__class_Oone @t242)) @t145)))) % 0.93/1.14 (assume @p516 (forall @t175 (= (tptp.hAPP @t253 @t551) (tptp.hAPP (tptp.hAPP @t562 @t283) @t276)))) % 0.93/1.14 (assume @p517 (forall @t175 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t367) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t723 @t144)))) % 0.93/1.14 (assume @p518 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t567) @t144))) % 0.93/1.14 (assume @p519 (forall @t175 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t170) @t144)) @t538) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t170) @t538)))) % 0.93/1.14 (assume @p520 (= @t724 @t538)) % 0.93/1.14 (assume @p521 (= @t538 @t724)) % 0.93/1.14 (assume @p522 (= @t567 @t668)) % 0.93/1.14 (assume @p523 (forall @t715 (=> @t714 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t713) @t711)) @t233)))) % 0.93/1.14 (assume @p524 (forall @t715 (=> @t714 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t725 @t9)) (tptp.hAPP @t725 @t109))) @t233)))) % 0.93/1.14 (assume @p525 (forall @t169 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t166) (= (= (tptp.hAPP (tptp.hAPP @t689 @t166) @t50) @t538) (and (= @t166 @t538) (= @t50 @t538)))))) % 0.93/1.14 (assume @p526 (forall @t81 (=> @t293 @t131))) % 0.93/1.14 (assume @p527 (forall (@list @t56 @t55 @t95) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t95) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 (tptp.hAPP @t726 @t95)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t445 @t95))))) % 0.93/1.14 (assume @p528 (= (tptp.hAPP @t253 @t387) @t560)) % 0.93/1.14 (assume @p529 (forall @t207 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t144) (=> @t205 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t480 @t170))))) % 0.93/1.14 (assume @p530 (forall @t728 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t727)) (tptp.hAPP (tptp.hAPP @t540 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t245))) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t86)))))) % 0.93/1.14 (assume @p531 (forall (@list @t95 @t265 @t7) (=> @t537 (= (tptp.c_Polynomial_Odegree @t7 (tptp.c_Polynomial_Osynthetic__div @t7 @t265 @t95)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t484 @t567))))) % 0.93/1.14 (assume @p532 (forall @t202 (=> @t719 (=> @t644 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t729 @t199) (tptp.hAPP @t729 @t198)))))) % 0.93/1.14 (assume @p533 (forall @t730 (=> @t523 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t690 @t531)) (tptp.hAPP (tptp.hAPP @t540 @t515) @t532))))) % 0.93/1.14 (assume @p534 (forall @t204 (=> @t433 (=> @t444 (= (tptp.hAPP (tptp.hAPP @t540 @t483) @t482) (tptp.hAPP tptp.c_Int_Onat @t717)))))) % 0.93/1.14 (assume @p535 (forall @t147 (=> @t206 (= @t144 @t731)))) % 0.93/1.14 (assume @p536 (forall @t147 (=> @t206 (= @t731 @t144)))) % 0.93/1.14 (assume @p537 (forall (@list @t265 @t170) (and (=> @t720 (= @t734 @t567)) (=> @t735 (= @t734 (tptp.hAPP @t733 (tptp.hAPP @t732 @t723))))))) % 0.93/1.14 (assume @p538 (forall (@list @t38 @t144 @t7) (=> @t558 (=> @t206 (= (tptp.hAPP (tptp.hAPP @t543 (tptp.hAPP @t302 @t671)) @t38) @t303))))) % 0.93/1.14 (assume @p539 (forall @t143 (=> @t323 @t736))) % 0.93/1.14 (assume @p540 (forall @t143 (=> @t323 @t573))) % 0.93/1.14 (assume @p541 (forall @t47 (=> (tptp.class_Rings_Oring__no__zero__divisors @t7) (= (= @t739 @t8) (or @t312 @t737))))) % 0.93/1.14 (assume @p542 (forall @t60 (=> @t322 (=> @t278 (=> @t639 (not @t740)))))) % 0.93/1.14 (assume @p543 (forall @t60 (=> @t322 (=> @t740 (or @t277 @t638))))) % 0.93/1.14 (assume @p544 (forall @t41 (=> @t321 (not (= @t546 @t8))))) % 0.93/1.14 (assume @p545 (forall @t41 (=> @t321 (not (= @t8 @t546))))) % 0.93/1.14 (assume @p546 (forall @t60 (=> @t293 @t743))) % 0.93/1.14 (assume @p547 (forall @t143 (=> @t293 (= (tptp.hAPP @t741 @t291) @t744)))) % 0.93/1.14 (assume @p548 (forall @t41 (=> @t293 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t546) @t546)))) % 0.93/1.14 (assume @p549 (forall @t184 (= @t603 (or @t594 @t189)))) % 0.93/1.14 (assume @p550 (forall @t143 (=> @t745 (tptp.hBOOL (tptp.hAPP @t273 @t744))))) % 0.93/1.14 (assume @p551 (forall @t47 (=> @t751 (= (tptp.hBOOL (tptp.hAPP @t273 @t739)) (or (and @t750 @t749) (and @t748 @t747)))))) % 0.93/1.14 (assume @p552 (forall @t47 (=> @t751 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t739) @t8)) (or (and @t750 @t747) (and @t748 @t749)))))) % 0.93/1.14 (assume @p553 (forall @t60 (=> @t753 (=> @t274 (=> @t337 @t752))))) % 0.93/1.14 (assume @p554 (forall @t60 (=> @t753 (=> @t274 (=> @t755 @t754))))) % 0.93/1.14 (assume @p555 (forall @t60 (=> @t753 (=> @t274 (=> @t755 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t640) @t8))))))) % 0.93/1.14 (assume @p556 (forall @t60 (=> @t753 (=> @t756 (=> @t337 @t754))))) % 0.93/1.14 (assume @p557 (forall @t60 (=> @t757 (=> @t756 (=> @t755 @t752))))) % 0.93/1.14 (assume @p558 (forall @t106 (=> @t761 (=> @t104 (=> @t760 @t759))))) % 0.93/1.14 (assume @p559 (forall @t106 (=> @t761 @t763))) % 0.93/1.14 (assume @p560 (forall @t106 (=> (tptp.class_Rings_Oordered__comm__semiring @t7) @t763))) % 0.93/1.14 (assume @p561 (forall @t101 (=> @t757 (=> @t100 (=> @t764 @t759))))) % 0.93/1.14 (assume @p562 (forall @t101 (=> @t757 (=> @t100 (=> @t764 @t762))))) % 0.93/1.14 (assume @p563 (forall @t769 (=> @t761 (=> @t104 (=> @t768 (=> @t274 @t767)))))) % 0.93/1.14 (assume @p564 (forall @t769 (=> @t761 (=> @t104 (=> @t768 (=> @t337 @t767)))))) % 0.93/1.14 (assume @p565 (forall @t60 (=> @t757 (=> (or (and @t274 @t337) (and @t756 @t755)) @t752)))) % 0.93/1.14 (assume @p566 (forall @t60 (=> @t753 (=> (or (and @t274 @t755) (and @t756 @t337)) @t754)))) % 0.93/1.14 (assume @p567 (forall @t143 (=> @t745 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t744 @t8))))) % 0.93/1.14 (assume @p568 (forall @t777 (=> @t751 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t776 @t775) @t773)))) % 0.93/1.14 (assume @p569 (forall @t782 (=> @t751 (= @t781 @t773)))) % 0.93/1.14 (assume @p570 (forall @t782 (=> @t751 (=> @t772 (= @t781 @t45))))) % 0.93/1.14 (assume @p571 (forall @t60 (=> @t785 (=> @t318 (=> @t784 @t783))))) % 0.93/1.14 (assume @p572 (forall @t60 (=> @t785 (=> @t318 (=> @t787 @t786))))) % 0.93/1.14 (assume @p573 (forall @t60 (=> @t785 (=> @t318 (=> @t787 (tptp.c_Orderings_Oord__class_Oless @t7 @t640 @t8)))))) % 0.93/1.14 (assume @p574 (forall @t60 (=> @t785 (=> @t783 @t788)))) % 0.93/1.14 (assume @p575 (forall @t130 (=> @t785 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t640) @t788)))) % 0.93/1.14 (assume @p576 (forall @t782 (=> @t751 (=> @t771 (= @t781 @t770))))) % 0.93/1.14 (assume @p577 (forall @t60 (=> @t785 (=> @t789 (=> @t784 @t786))))) % 0.93/1.14 (assume @p578 (forall @t60 (=> @t751 (=> @t789 (=> @t787 @t783))))) % 0.93/1.14 (assume @p579 (forall @t106 (=> @t785 (=> @t128 (=> @t791 @t790))))) % 0.93/1.14 (assume @p580 (forall @t106 (=> @t785 @t793))) % 0.93/1.14 (assume @p581 (forall @t106 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t7) @t793))) % 0.93/1.14 (assume @p582 (forall @t101 (=> @t751 (=> @t126 (=> @t794 @t790))))) % 0.93/1.14 (assume @p583 (forall @t101 (=> @t751 (=> @t126 (=> @t794 @t792))))) % 0.93/1.14 (assume @p584 (forall @t41 (=> @t264 (not (tptp.hBOOL (tptp.hAPP @t627 @t8)))))) % 0.93/1.14 (assume @p585 (forall @t41 (=> @t264 (tptp.hBOOL (tptp.hAPP @t273 @t546))))) % 0.93/1.14 (assume @p586 (forall @t41 (=> @t264 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t8))))) % 0.93/1.14 (assume @p587 (forall @t41 (=> @t264 (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t546)))) % 0.93/1.14 (assume @p588 (forall @t300 (=> @t264 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t170) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t546 @t144) (tptp.c_Orderings_Oord__class_Oless @t7 @t546 (tptp.hAPP @t673 @t144))))))) % 0.93/1.14 (assume @p589 (forall @t796 (=> @t293 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t291 @t95) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t332 @t765) (tptp.c_Orderings_Oord__class_Oless @t7 @t742 @t795)))))) % 0.93/1.14 (assume @p590 (forall @t184 (=> @t645 (= @t603 @t189)))) % 0.93/1.14 (assume @p591 (forall @t184 (=> @t645 (= @t647 @t177)))) % 0.93/1.14 (assume @p592 (forall @t188 (and (=> @t797 (= @t675 @t145)) (=> (not @t797) @t676)))) % 0.93/1.14 (assume @p593 (forall @t782 (=> @t751 (=> @t772 (= @t798 @t49))))) % 0.93/1.14 (assume @p594 (forall @t782 (=> @t751 (=> @t771 (= @t798 (tptp.hBOOL (tptp.hAPP @t746 @t43))))))) % 0.93/1.14 (assume @p595 (forall @t769 (=> @t785 (=> @t128 (=> @t801 (=> @t784 @t800)))))) % 0.93/1.14 (assume @p596 (forall @t769 (=> @t785 (=> @t128 (=> @t801 (=> @t274 @t800)))))) % 0.93/1.14 (assume @p597 (forall @t769 (=> @t785 (=> @t128 (=> @t768 (=> @t274 (=> @t791 @t799))))))) % 0.93/1.14 (assume @p598 (forall @t769 (=> @t785 (=> @t104 (=> @t801 (=> @t318 @t800)))))) % 0.93/1.14 (assume @p599 (forall @t805 (=> @t804 @t803))) % 0.93/1.14 (assume @p600 (forall @t805 (=> @t785 @t803))) % 0.93/1.14 (assume @p601 (forall @t637 (=> @t804 @t806))) % 0.93/1.14 (assume @p602 (forall @t637 (=> @t785 @t806))) % 0.93/1.14 (assume @p603 (forall @t805 (=> @t785 (=> @t759 @t807)))) % 0.93/1.14 (assume @p604 (forall @t637 (=> @t785 (=> @t762 @t807)))) % 0.93/1.14 (assume @p605 (forall @t81 (=> @t293 (=> @t678 (=> @t809 (=> @t808 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t677) @t38)))))))) % 0.93/1.14 (assume @p606 (forall @t81 (=> @t293 (=> @t678 (=> @t809 (=> @t808 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t565) @t38)))))))) % 0.93/1.14 (assume @p607 (forall @t60 (=> (tptp.class_Rings_Oordered__ring__abs @t7) (=> (and (or @t274 @t756) (or @t337 @t755)) @t743)))) % 0.93/1.14 (assume @p608 (forall (@list @t76 @t38 @t95 @t7) (=> @t14 (=> @t811 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39) (tptp.hAPP @t810 @t561))) (= @t38 @t8)))))) % 0.93/1.14 (assume @p609 (forall (@list @t76 @t38 @t95) (=> @t811 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t812) (tptp.hAPP @t810 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t76)))) (= @t38 @t13))))) % 0.93/1.14 (assume @p610 (forall @t815 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t814)) @t813))) % 0.93/1.14 (assume @p611 (forall @t40 (=> @t650 (= (tptp.hAPP @t302 @t145) @t546)))) % 0.93/1.14 (assume @p612 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t689 (tptp.hAPP @t702 @t680)) @t679) (tptp.hAPP @t702 (tptp.hAPP @t700 @t679))))) % 0.93/1.14 (assume @p613 (forall @t250 (= (tptp.hAPP @t690 @t245) @t727))) % 0.93/1.14 (assume @p614 (forall @t60 (=> @t650 (= @t555 @t640)))) % 0.93/1.14 (assume @p615 (forall @t823 (=> @t650 (= @t822 (tptp.hAPP @t820 (tptp.hAPP @t818 @t816)))))) % 0.93/1.14 (assume @p616 (forall @t823 (=> @t650 (= @t822 (tptp.hAPP @t824 @t816))))) % 0.93/1.14 (assume @p617 (forall @t829 (=> @t650 (= @t828 (tptp.hAPP @t818 (tptp.hAPP @t826 @t819)))))) % 0.93/1.14 (assume @p618 (forall @t829 (=> @t650 (= @t828 (tptp.hAPP @t824 @t825))))) % 0.93/1.14 (assume @p619 (forall @t831 (=> @t650 (= @t830 (tptp.hAPP @t818 (tptp.hAPP @t826 @t821)))))) % 0.93/1.14 (assume @p620 (forall @t831 (=> @t650 (= @t830 (tptp.hAPP @t820 (tptp.hAPP @t827 @t816)))))) % 0.93/1.14 (assume @p621 (forall @t831 (=> @t650 (= @t830 (tptp.hAPP @t824 (tptp.hAPP @t826 @t816)))))) % 0.93/1.14 (assume @p622 (forall @t143 (=> @t650 @t573))) % 0.93/1.14 (assume @p623 (forall @t143 (=> @t650 @t736))) % 0.93/1.14 (assume @p624 (forall @t143 (=> @t650 @t559))) % 0.93/1.14 (assume @p625 (forall @t143 (=> @t650 @t556))) % 0.93/1.14 (assume @p626 (forall (@list @t507 @t76 @t38 @t7) (=> @t650 (= (tptp.hAPP (tptp.hAPP @t267 @t565) @t507) (tptp.hAPP @t833 (tptp.hAPP @t670 @t507)))))) % 0.93/1.14 (assume @p627 (forall @t835 (=> @t650 (= (tptp.hAPP (tptp.hAPP @t267 @t834) @t507) (tptp.hAPP @t302 (tptp.hAPP @t733 @t507)))))) % 0.93/1.14 (assume @p628 (forall @t40 (=> @t650 (= (tptp.hAPP @t302 @t567) @t38)))) % 0.93/1.14 (assume @p629 (forall @t837 (=> @t650 (= (tptp.hAPP @t833 @t38) @t836)))) % 0.93/1.14 (assume @p630 (forall @t837 (=> @t650 (= @t838 @t836)))) % 0.93/1.14 (assume @p631 (forall @t837 (=> @t650 (= @t836 @t838)))) % 0.93/1.14 (assume @p632 (forall @t41 (=> @t324 (= @t267 (tptp.c_Power_Opower_Opower @t7 @t546 @t543))))) % 0.93/1.14 (assume @p633 (forall @t437 (=> @t716 (=> @t840 (exists @t24 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t562 @t839) @t76)) @t38)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.hAPP (tptp.hAPP @t562 (tptp.hAPP @t253 @t411)) @t76)))))))) % 0.93/1.14 (assume @p634 (forall @t575 (=> @t571 (exists @t162 (and @t161 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t7 (tptp.hAPP (tptp.hAPP @t543 @t3) @t76))) @t841)))))))) % 0.93/1.14 (assume @p635 (forall (@list @t43 @t843 @t842 @t7) (= (tptp.hAPP @t844 @t145) @t842))) % 0.93/1.14 (assume @p636 (forall (@list @t50 @t43 @t843 @t842 @t7) (= (tptp.hAPP @t844 @t397) (tptp.hAPP (tptp.hAPP @t843 @t43) (tptp.hAPP @t844 @t50))))) % 0.93/1.14 (assume @p637 (forall @t41 (=> @t571 (exists @t162 (and @t161 (forall (@list @t846 @t845) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t7 (tptp.hAPP (tptp.hAPP @t543 @t846) @t845))) (tptp.hAPP (tptp.hAPP @t562 (tptp.hAPP (tptp.hAPP @t562 (tptp.c_RealVector_Onorm__class_Onorm @t7 @t846)) (tptp.c_RealVector_Onorm__class_Onorm @t7 @t845))) @t158))))))))) % 0.93/1.14 (assume @p638 (forall @t40 (=> @t571 (exists @t162 (and @t161 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t7 (tptp.hAPP @t564 @t3))) @t841)))))))) % 0.93/1.14 (assume @p639 (forall @t847 (=> @t537 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 (tptp.c_Polynomial_Opcompose @t7 @t265 @t507))) (tptp.hAPP @t649 @t509)))))) % 0.93/1.14 (assume @p640 (forall @t693 (=> @t537 (= (tptp.c_Polynomial_Opcompose @t7 @t243 @t507) @t243)))) % 0.93/1.14 (assume @p641 (forall @t852 (=> @t851 (=> (forall @t6 (=> @t422 (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t61))))) (=> @t850 (forall @t6 (=> @t422 (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t849)))))))))) % 0.93/1.14 (assume @p642 (forall (@list @t38 @t86 @t765) (=> @t854 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t853))))) % 0.93/1.14 (assume @p643 (forall (@list @t86 @t38 @t765) (=> @t854 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t853) @t86)))) % 0.93/1.14 (assume @p644 (forall @t94 (=> @t650 (= (tptp.hAPP @t564 (tptp.c_Groups_Oplus__class_Oplus @t7 @t76 @t86)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t565 (tptp.hAPP @t564 @t86)))))) % 0.93/1.14 (assume @p645 (forall @t64 (=> @t855 (= (and (not @t138) (not @t137)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t776 (tptp.hAPP @t774 @t61)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t738 @t61) @t775))))))) % 0.93/1.14 (assume @p646 (forall @t106 (=> (tptp.class_Rings_Ocomm__semiring @t7) @t858))) % 0.93/1.14 (assume @p647 (forall @t106 (=> @t650 @t858))) % 0.93/1.14 (assume @p648 (forall (@list @t56 @t170 @t55 @t7) (=> @t650 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t859 (tptp.hAPP @t553 @t170)) (tptp.hAPP @t857 @t170))))) % 0.93/1.14 (assume @p649 (forall (@list @t95 @t56 @t860 @t55 @t7) (=> (tptp.class_Rings_Osemiring @t7) (= (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t544 @t860) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t553 @t860) @t95)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t857 @t860) @t95))))) % 0.93/1.14 (assume @p650 (forall (@list @t383 @t9 @t109 @t382 @t7) (=> @t855 (= (= (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t862 @t109) (tptp.hAPP @t861 @t383)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t862 @t383) (tptp.hAPP @t861 @t109))) (or (= @t382 @t9) (= @t109 @t383)))))) % 0.93/1.14 (assume @p651 (forall @t582 (=> @t571 (= (tptp.hAPP (tptp.hAPP @t543 @t863) @t576) (tptp.c_Groups_Oplus__class_Oplus @t7 @t579 @t578))))) % 0.93/1.14 (assume @p652 (forall @t584 (=> @t571 (= (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t454)) @t56) (tptp.c_Groups_Oplus__class_Oplus @t7 @t555 @t583))))) % 0.93/1.14 (assume @p653 (forall @t589 (=> @t571 (= (tptp.hAPP @t586 @t863) (tptp.c_Groups_Oplus__class_Oplus @t7 @t588 @t587))))) % 0.93/1.14 (assume @p654 (forall @t591 (=> @t571 (= (tptp.hAPP @t544 (tptp.c_Groups_Oplus__class_Oplus @t7 @t56 @t463)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t555 @t590))))) % 0.93/1.14 (assume @p655 (forall @t704 (= (tptp.hAPP (tptp.hAPP @t689 @t864) @t245) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t703 @t701)))) % 0.93/1.14 (assume @p656 (forall @t699 (= (tptp.hAPP @t695 @t864) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t697 @t696)))) % 0.93/1.14 (assume @p657 (forall (@list @t95 @t55 @t7) (=> @t650 (= @t866 @t865)))) % 0.93/1.14 (assume @p658 (forall @t869 (=> @t650 (= @t868 (tptp.c_Groups_Oplus__class_Oplus @t7 @t95 (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t765)))))) % 0.93/1.14 (assume @p659 (forall @t869 (=> @t650 (= @t868 (tptp.c_Groups_Oplus__class_Oplus @t7 @t866 @t765))))) % 0.93/1.14 (assume @p660 (forall @t106 (=> @t650 @t872))) % 0.93/1.14 (assume @p661 (forall @t106 (=> @t650 (= @t871 (tptp.c_Groups_Oplus__class_Oplus @t7 @t866 @t56))))) % 0.93/1.14 (assume @p662 (forall @t769 (=> @t650 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t856 @t867) (tptp.c_Groups_Oplus__class_Oplus @t7 @t866 @t873))))) % 0.93/1.14 (assume @p663 (forall @t875 (=> @t855 (= (= @t42 @t874) @t312)))) % 0.93/1.14 (assume @p664 (forall @t143 (=> @t650 @t876))) % 0.93/1.14 (assume @p665 (forall @t143 (=> @t650 @t877))) % 0.93/1.14 (assume @p666 (forall @t314 (=> @t879 (= (= @t878 @t8) @t312)))) % 0.93/1.14 (assume @p667 (forall @t143 (=> @t880 @t876))) % 0.93/1.14 (assume @p668 (forall @t143 (=> @t881 @t876))) % 0.93/1.14 (assume @p669 (forall @t314 (=> @t879 (= (= @t8 @t878) @t312)))) % 0.93/1.14 (assume @p670 (forall @t143 (=> @t880 @t877))) % 0.93/1.14 (assume @p671 (forall @t143 (=> @t881 @t877))) % 0.93/1.14 (assume @p672 (forall @t637 (=> @t884 (=> @t883 @t104)))) % 0.93/1.14 (assume @p673 (forall @t805 (=> @t884 (=> @t886 @t104)))) % 0.93/1.14 (assume @p674 (forall @t769 (=> @t887 (=> @t104 (=> @t768 (tptp.hBOOL (tptp.hAPP @t885 @t873))))))) % 0.93/1.14 (assume @p675 (forall @t106 (=> @t887 (=> @t104 @t883)))) % 0.93/1.14 (assume @p676 (forall @t106 (=> @t887 (=> @t104 @t886)))) % 0.93/1.14 (assume @p677 (forall @t782 (=> @t884 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t889) @t888)) @t49)))) % 0.93/1.14 (assume @p678 (forall @t777 (=> @t884 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t891) @t890)) @t49)))) % 0.93/1.14 (assume @p679 (forall @t637 (=> @t884 (=> @t892 @t128)))) % 0.93/1.14 (assume @p680 (forall @t805 (=> @t884 (=> @t893 @t128)))) % 0.93/1.14 (assume @p681 (forall @t769 (=> @t896 (=> @t128 @t895)))) % 0.93/1.14 (assume @p682 (forall @t106 (=> @t896 (=> @t128 @t892)))) % 0.93/1.14 (assume @p683 (forall @t106 (=> @t896 (=> @t128 @t893)))) % 0.93/1.14 (assume @p684 (forall @t782 (=> @t884 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t889 @t888) @t45)))) % 0.93/1.14 (assume @p685 (forall @t777 (=> @t884 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t891 @t890) @t45)))) % 0.93/1.14 (assume @p686 (forall @t796 (=> @t139 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t866 @t873) (tptp.c_Groups_Oplus__class_Oplus @t7 @t58 (tptp.c_Groups_Ominus__class_Ominus @t7 @t95 @t765)))))) % 0.93/1.14 (assume @p687 (forall @t60 (=> @t142 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t856 @t56) @t55)))) % 0.93/1.14 (assume @p688 (forall @t60 (=> @t142 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t58 @t56) @t55)))) % 0.93/1.14 (assume @p689 (forall @t420 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t343) @t86))) % 0.93/1.14 (assume @p690 (forall @t420 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t343 @t86) @t86))) % 0.93/1.14 (assume @p691 (forall @t60 (=> @t297 (= (tptp.c_Groups_Oabs__class_Oabs @t7 @t897) @t897)))) % 0.93/1.14 (assume @p692 (forall @t202 (=> @t430 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t185 @t199)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t185 @t198)))))) % 0.93/1.14 (assume @p693 (forall @t202 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t199 @t185) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t198 @t185))))) % 0.93/1.14 (assume @p694 (forall @t81 (=> @t14 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t898) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t561)))))) % 0.93/1.14 (assume @p695 (forall @t572 (=> @t14 (=> @t570 (=> @t569 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t898 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t294 @t215))))))) % 0.93/1.14 (assume @p696 (forall @t300 (=> @t299 (= (tptp.hAPP @t262 @t899) (tptp.c_Groups_Oplus__class_Oplus @t7 @t298 @t307))))) % 0.93/1.14 (assume @p697 (forall @t250 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t245) @t900))) % 0.93/1.14 (assume @p698 (forall @t625 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 @t86)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t86))))) % 0.93/1.14 (assume @p699 (forall @t684 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t864 @t679) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t682 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t680 @t679))))) % 0.93/1.14 (assume @p700 (forall @t106 (=> (tptp.class_Groups_Oab__semigroup__add @t7) @t872))) % 0.93/1.14 (assume @p701 (forall @t903 (=> @t902 (= (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t42) @t891) @t901)))) % 0.93/1.14 (assume @p702 (forall (@list @t62 @t43 @t42 @t7) (=> @t902 (= (= @t874 @t889) @t901)))) % 0.93/1.14 (assume @p703 (forall @t106 (=> @t902 @t904))) % 0.93/1.14 (assume @p704 (forall @t106 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t7) @t904))) % 0.93/1.14 (assume @p705 (forall @t101 (=> @t902 (=> (= @t905 @t865) @t98)))) % 0.93/1.14 (assume @p706 (forall @t769 (=> @t14 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t7 @t908)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t7 @t907) (tptp.c_RealVector_Onorm__class_Onorm @t7 @t906))))))) % 0.93/1.14 (assume @p707 (forall @t314 (=> @t879 (= (tptp.hBOOL (tptp.hAPP @t273 @t878)) @t750)))) % 0.93/1.14 (assume @p708 (forall @t314 (=> @t879 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t878) @t8)) @t748)))) % 0.93/1.14 (assume @p709 (forall @t60 (=> @t909 (=> @t274 (=> @t337 (tptp.hBOOL (tptp.hAPP @t273 @t856))))))) % 0.93/1.14 (assume @p710 (forall @t115 (=> @t909 (=> (tptp.hBOOL (tptp.hAPP @t273 @t9)) (=> (tptp.hBOOL (tptp.hAPP @t273 @t109)) (= (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t9 @t109) @t8) @t911)))))) % 0.93/1.14 (assume @p711 (forall @t106 (=> @t909 (=> @t274 (=> @t108 @t912))))) % 0.93/1.14 (assume @p712 (forall @t913 (=> @t909 (=> @t760 (=> @t100 @t912))))) % 0.93/1.14 (assume @p713 (forall @t60 (=> @t909 (=> @t756 (=> @t755 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t856) @t8))))))) % 0.93/1.14 (assume @p714 (forall @t106 (=> @t264 (=> @t318 @t915)))) % 0.93/1.14 (assume @p715 (forall @t314 (=> @t879 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t878) (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t43))))) % 0.93/1.14 (assume @p716 (forall @t314 (=> @t879 @t916))) % 0.93/1.14 (assume @p717 (forall @t60 (=> @t909 (=> @t318 @t918)))) % 0.93/1.14 (assume @p718 (forall @t60 (=> @t909 (=> @t789 @t920)))) % 0.93/1.14 (assume @p719 (forall @t314 (=> @t293 @t916))) % 0.93/1.14 (assume @p720 (forall @t769 (=> @t896 (=> @t128 (=> @t768 @t894))))) % 0.93/1.14 (assume @p721 (forall @t769 (=> @t896 (=> @t104 @t895)))) % 0.93/1.14 (assume @p722 (forall @t115 (=> @t751 (= (= @t921 @t8) @t911)))) % 0.93/1.14 (assume @p723 (forall (@list @t765 @t95 @t56 @t55 @t294 @t7) (=> @t855 (=> (not (= @t294 @t8)) (=> (and @t107 (not (= @t95 @t765))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 (tptp.hAPP @t922 @t95)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t56 (tptp.hAPP @t922 @t765))))))))) % 0.93/1.14 (assume @p724 (forall @t143 (=> @t264 (tptp.c_Orderings_Oord__class_Oless @t7 @t55 @t923)))) % 0.93/1.14 (assume @p725 (forall @t930 (=> @t929 (= @t928 (= @t925 @t61))))) % 0.93/1.14 (assume @p726 (forall @t930 (=> @t929 (= @t928 (= @t62 @t931))))) % 0.93/1.14 (assume @p727 (forall @t936 (=> @t929 (= @t935 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t564 @t934) @t933))))) % 0.93/1.14 (assume @p728 (forall @t936 (=> @t571 (= @t935 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t932 @t934) @t933) (tptp.hAPP @t544 @t934)))))) % 0.93/1.14 (assume @p729 (forall @t335 (=> @t650 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t170 @t170) (tptp.hAPP (tptp.hAPP @t543 @t937) @t170))))) % 0.93/1.14 (assume @p730 (forall (@list @t55 @t170 @t7) (=> @t650 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t170 @t859) @t938)))) % 0.93/1.14 (assume @p731 (forall (@list @t170 @t55 @t7) (=> @t650 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t859 @t170) @t938)))) % 0.93/1.14 (assume @p732 (forall @t60 (=> @t297 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.c_Groups_Oabs__class_Oabs @t7 @t856)) @t897))))) % 0.93/1.14 (assume @p733 (forall @t204 (=> @t433 (=> @t444 (tptp.hBOOL (tptp.hAPP @t372 @t939)))))) % 0.93/1.14 (assume @p734 (forall @t420 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t940 @t86) @t343)))) % 0.93/1.14 (assume @p735 (forall (@list @t86 @t531 @t245 @t941) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t941 @t245) (=> @t533 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t941 @t531) @t900))))) % 0.93/1.14 (assume @p736 (forall @t521 (= @t942 (or @t517 (= @t382 @t383))))) % 0.93/1.14 (assume @p737 (forall @t521 (= @t529 (exists @t24 (= @t383 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t382 @t438)))))) % 0.93/1.14 (assume @p738 (forall @t60 (=> @t909 (=> @t318 (=> @t337 @t917))))) % 0.93/1.14 (assume @p739 (forall @t60 (=> @t909 (=> @t274 @t918)))) % 0.93/1.14 (assume @p740 (forall @t106 (=> @t909 (=> @t318 (=> @t108 @t914))))) % 0.93/1.14 (assume @p741 (forall @t106 (=> @t909 (=> @t274 @t915)))) % 0.93/1.14 (assume @p742 (forall @t60 (=> @t909 (=> @t789 (=> @t755 @t919))))) % 0.93/1.14 (assume @p743 (forall @t60 (=> @t909 (=> @t756 @t920)))) % 0.93/1.14 (assume @p744 (forall @t115 (=> @t751 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t921) @t8)) @t911)))) % 0.93/1.14 (assume @p745 (forall @t81 (=> @t745 (tptp.hBOOL (tptp.hAPP @t273 @t944))))) % 0.93/1.14 (assume @p746 (forall @t115 (=> @t751 (= (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t921) (or @t11 (not @t910)))))) % 0.93/1.14 (assume @p747 (forall @t81 (=> @t745 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t944 @t8))))) % 0.93/1.14 (assume @p748 (forall @t41 (=> @t264 (tptp.c_Orderings_Oord__class_Oless @t7 @t8 @t937)))) % 0.93/1.14 (assume @p749 (forall @t930 (=> @t757 (= @t945 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t925) @t61)))))) % 0.93/1.14 (assume @p750 (forall @t930 (=> @t757 (= @t945 (tptp.hBOOL (tptp.hAPP @t65 @t931)))))) % 0.93/1.14 (assume @p751 (forall @t930 (=> @t757 (= @t946 (tptp.c_Orderings_Oord__class_Oless @t7 @t62 @t931))))) % 0.93/1.14 (assume @p752 (forall @t930 (=> @t757 (= @t946 (tptp.c_Orderings_Oord__class_Oless @t7 @t925 @t61))))) % 0.93/1.14 (assume @p753 (forall @t40 (=> @t341 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t943 @t546) (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Groups_Oplus__class_Oplus @t7 @t38 @t546)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t38 @t546)))))) % 0.93/1.14 (assume @p754 (forall @t101 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t631) @t56) @t947))))) % 0.93/1.14 (assume @p755 (forall @t101 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t55 @t554) @t56) @t947))))) % 0.93/1.14 (assume @p756 (forall @t130 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t905 @t56) @t948))))) % 0.93/1.14 (assume @p757 (forall @t130 (=> @t442 (=> @t639 (= (tptp.c_Divides_Odiv__class_Odiv @t7 @t856 @t56) @t948))))) % 0.93/1.14 (assume @p758 (forall @t60 (=> @t297 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t316) @t897))))) % 0.93/1.14 (assume @p759 (forall @t769 (=> @t297 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.c_Groups_Oabs__class_Oabs @t7 @t908)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.c_Groups_Oabs__class_Oabs @t7 @t907) (tptp.c_Groups_Oabs__class_Oabs @t7 @t906))))))) % 0.93/1.14 (assume @p760 (forall @t335 (=> @t299 (= (tptp.hAPP @t262 @t368) (tptp.c_Groups_Oplus__class_Oplus @t7 @t546 @t298))))) % 0.93/1.14 (assume @p761 (forall @t60 (=> @t14 (tptp.hBOOL (tptp.hAPP @t74 (tptp.c_RealVector_Onorm__class_Onorm @t7 @t856)))))) % 0.93/1.14 (assume @p762 (forall @t527 (= (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 @t538 @t383) @t383) @t343) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t383 @t343)))) % 0.93/1.14 (assume @p763 (forall @t521 (= @t942 @t529))) % 0.93/1.14 (assume @p764 (forall @t521 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t382 @t538)) @t383)) @t517))) % 0.93/1.14 (assume @p765 (forall @t728 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t245 @t86) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t245 @t538)) @t86))))) % 0.93/1.14 (assume @p766 (forall @t521 (= @t517 (exists @t24 (= @t383 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t382 (tptp.hAPP @t346 @t411))))))) % 0.93/1.14 (assume @p767 (forall @t197 (= (tptp.hAPP @t346 @t368) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t538 @t350)))) % 0.93/1.14 (assume @p768 (forall @t955 (=> (tptp.class_Rings_Olinordered__semiring__1 @t7) (=> (tptp.hBOOL (tptp.hAPP @t53 @t55)) (=> (tptp.hBOOL (tptp.hAPP @t77 @t55)) (=> @t954 (=> @t953 (=> @t952 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t951) @t55)))))))))) % 0.93/1.14 (assume @p769 (forall @t420 (=> @t523 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t940)))) % 0.93/1.14 (assume @p770 (forall @t966 (=> @t965 (=> @t963 (=> @t961 (=> @t960 (=> @t466 (=> @t465 @t958)))))))) % 0.93/1.14 (assume @p771 (forall @t970 (=> @t969 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t294) @t343)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t294) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t959) @t968)))))) % 0.93/1.14 (assume @p772 (forall @t966 (=> @t965 (=> @t973 (=> @t972 (=> @t971 (=> @t466 (=> @t465 @t968)))))))) % 0.93/1.14 (assume @p773 (forall @t970 (=> @t969 (=> @t960 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t959 @t56) (=> @t961 @t958)))))) % 0.93/1.14 (assume @p774 (forall @t974 (=> @t963 (=> @t960 (=> @t466 (tptp.hBOOL (tptp.hAPP @t957 @t343))))))) % 0.93/1.14 (assume @p775 (forall @t974 (=> @t973 (=> @t972 (=> @t466 (tptp.hBOOL (tptp.hAPP @t372 @t956))))))) % 0.93/1.14 (assume @p776 (forall @t955 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t7) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t38 @t55) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t76 @t55) (=> @t954 (=> @t953 (=> @t952 (tptp.c_Orderings_Oord__class_Oless @t7 @t951 @t55))))))))) % 0.93/1.14 (assume @p777 (forall @t81 (=> (tptp.class_Rings_Ocomm__ring__1 @t7) (= (tptp.c_Groups_Ominus__class_Ominus @t7 (tptp.hAPP @t302 @t405) (tptp.hAPP @t670 @t405)) (tptp.hAPP @t581 @t863))))) % 0.93/1.14 (assume @p778 (forall @t420 (=> @t523 (= (tptp.c_Nat_OSuc @t515) (tptp.hAPP tptp.c_Int_Onat @t940))))) % 0.93/1.14 (assume @p779 (forall @t977 (=> @t976 (=> @t975 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t294 @t55) (tptp.hBOOL (tptp.hAPP @t667 @t507))))))) % 0.93/1.14 (assume @p780 (forall @t977 (=> @t976 (=> @t975 (=> @t971 (tptp.hBOOL (tptp.hAPP @t967 @t538))))))) % 0.93/1.14 (assume @p781 (forall @t979 (= (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t50 @t178))) (and (=> @t476 @t344) (=> @t474 (forall @t258 (=> (exists @t409 (and (tptp.hBOOL (tptp.hAPP @t372 @t408)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t408 @t178) @t978)) @t257))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t343) (forall @t258 (=> (exists @t409 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t408) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t408) @t343)) @t978)) @t257))))))) % 0.93/1.14 (assume @p782 (forall (@list @t982 @t76 @t980 @t981) (=> (= @t981 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t980) @t76) @t982)) (=> (and (=> @t983 (and (tptp.hBOOL (tptp.hAPP @t372 @t982)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t982 @t980))) (=> (not @t983) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t980 @t982) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t982) @t343))))) (=> (not (= @t980 @t343)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t981 @t980) @t76)))))) % 0.93/1.14 (assume @p783 (forall (@list @t984 @t43 @t9 @t7) (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless @t7 (tptp.c_Groups_Oabs__class_Oabs @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t9 @t43)) @t984) (and (tptp.c_Orderings_Oord__class_Oless @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t43 @t984) @t9) (tptp.c_Orderings_Oord__class_Oless @t7 @t9 (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t984))))))) % 0.93/1.14 (assume @p784 (forall @t852 (=> @t851 (=> (forall @t6 (=> @t422 (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t61))))) (=> @t850 (forall @t6 (=> @t422 (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t849)))))))))) % 0.93/1.14 (assume @p785 (forall (@list @t55 @t144) (=> @t206 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t55) (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t3) (= (tptp.hAPP (tptp.hAPP @t284 @t3) @t144) @t55) (forall @t361 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t358) (= (tptp.hAPP (tptp.hAPP @t284 @t358) @t144) @t55)) (= @t358 @t3))))))))) % 0.93/1.14 (assume @p786 (forall (@list @t294 @t507 @t265 @t7) (=> @t537 (= (tptp.hAPP (tptp.hAPP @t691 @t985) @t294) (tptp.c_Groups_Oplus__class_Oplus @t242 (tptp.hAPP @t692 @t294) (tptp.hAPP (tptp.hAPP @t691 @t507) @t294)))))) % 0.93/1.14 (assume @p787 (forall (@list @t185 @t198 @t950 @t199) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t988 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t987 @t185)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t986) @t950) @t185)))) % 0.93/1.14 (assume @p788 (forall @t704 (= (tptp.hAPP (tptp.hAPP @t562 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t682 @t680)) @t245) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t683 @t245) (tptp.hAPP @t681 @t245))))) % 0.93/1.14 (assume @p789 (forall @t188 (= (tptp.hAPP @t616 @t899) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t623 @t622)))) % 0.93/1.14 (assume @p790 (forall @t404 (= (tptp.hAPP (tptp.hAPP @t540 @t899) @t185) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t621 @t549)))) % 0.93/1.14 (assume @p791 (forall @t376 (= (tptp.hBOOL (tptp.hAPP @t181 @t375)) (exists @t24 (= @t375 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t178 @t18)))))) % 0.93/1.14 (assume @p792 (forall @t204 (=> @t709 (=> @t708 (tptp.c_RealDef_Opositive (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t76)))))) % 0.93/1.14 (assume @p793 (forall @t625 (=> @t990 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t86 @t38)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t86 @t76)))))) % 0.93/1.14 (assume @p794 (forall @t175 (=> (= @t899 @t170) @t208))) % 0.93/1.14 (assume @p795 (forall @t169 (= (= @t991 @t145) (and @t388 @t191)))) % 0.93/1.14 (assume @p796 (forall @t197 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t145) @t170))) % 0.93/1.14 (assume @p797 (forall @t147 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t145 @t144) @t144))) % 0.93/1.14 (assume @p798 (forall @t175 (= @t993 @t992))) % 0.93/1.14 (assume @p799 (forall @t175 (= @t993 @t994))) % 0.93/1.14 (assume @p800 (forall @t175 (= @t992 @t994))) % 0.93/1.14 (assume @p801 (forall @t997 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t86) @t996))) % 0.93/1.14 (assume @p802 (forall @t625 (=> @t203 @t996))) % 0.93/1.14 (assume @p803 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t986 @t185) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t185)))) % 0.93/1.14 (assume @p804 (forall (@list @t144 @t170 @t217 @t185) (=> @t999 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t217) @t998) @t210)))) % 0.93/1.14 (assume @p805 (forall @t615 (=> @t393 (=> @t999 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1001 @t1000))))) % 0.93/1.14 (assume @p806 (forall @t202 (=> @t393 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1001 @t1002)))) % 0.93/1.14 (assume @p807 (forall @t1004 (=> @t393 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t1003)))) % 0.93/1.14 (assume @p808 (forall @t1004 (=> @t393 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t1005)))) % 0.93/1.14 (assume @p809 (forall @t184 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1007 @t1006) @t177))) % 0.93/1.14 (assume @p810 (forall (@list @t199 @t198) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1008 @t199)))) % 0.93/1.14 (assume @p811 (forall (@list @t198 @t199) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t986 @t199)))) % 0.93/1.14 (assume @p812 (forall @t175 (= @t899 @t1009))) % 0.93/1.14 (assume @p813 (forall @t625 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t995) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t76 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t86))))) % 0.93/1.14 (assume @p814 (forall @t404 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t899 @t185) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t1010)))) % 0.93/1.14 (assume @p815 (forall @t184 (= (= @t1007 @t1006) @t189))) % 0.93/1.14 (assume @p816 (forall @t599 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t166 @t178) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t178)) @t189))) % 0.93/1.14 (assume @p817 (forall @t175 (= (tptp.hAPP @t253 @t899) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t283 @t276)))) % 0.93/1.14 (assume @p818 (forall @t728 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t245)) (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 @t245 @t86)) @t1011))))) % 0.93/1.14 (assume @p819 (forall @t693 (=> @t880 (= (tptp.c_Groups_Oplus__class_Oplus @t242 @t243 @t507) @t507)))) % 0.93/1.14 (assume @p820 (forall @t266 (=> @t880 (= (tptp.c_Groups_Oplus__class_Oplus @t242 @t265 @t243) @t265)))) % 0.93/1.14 (assume @p821 (forall @t1013 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1012 @t1010) @t171))) % 0.93/1.14 (assume @p822 (forall @t188 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1014 @t998) @t171))) % 0.93/1.14 (assume @p823 (forall @t202 (= @t201 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t199 @t1002)))) % 0.93/1.14 (assume @p824 (forall @t207 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1009 @t144) @t170))) % 0.93/1.14 (assume @p825 (forall @t175 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t899 @t144) @t170))) % 0.93/1.14 (assume @p826 (forall @t997 (=> (tptp.hBOOL (tptp.hAPP @t235 @t86)) @t1015))) % 0.93/1.14 (assume @p827 (forall @t625 (=> @t236 @t1015))) % 0.93/1.14 (assume @p828 (forall @t1013 (=> @t1016 (not (=> @t174 (not @t187)))))) % 0.93/1.14 (assume @p829 (forall @t1013 (=> @t1016 @t174))) % 0.93/1.14 (assume @p830 (forall @t1013 (=> @t1016 @t187))) % 0.93/1.14 (assume @p831 (forall @t615 (=> @t228 (=> @t614 (tptp.hBOOL (tptp.hAPP @t1017 @t1000)))))) % 0.93/1.14 (assume @p832 (forall @t202 (=> @t228 (tptp.hBOOL (tptp.hAPP @t1017 @t1002))))) % 0.93/1.14 (assume @p833 (forall @t1004 (=> @t228 (tptp.hBOOL (tptp.hAPP @t226 @t1003))))) % 0.93/1.14 (assume @p834 (forall @t1004 (=> @t228 (tptp.hBOOL (tptp.hAPP @t226 @t1005))))) % 0.93/1.14 (assume @p835 (forall @t184 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1007) @t1006)) @t168))) % 0.93/1.14 (assume @p836 (forall @t169 (= @t168 (exists @t259 (= @t50 @t1018))))) % 0.93/1.14 (assume @p837 (forall @t207 (tptp.hBOOL (tptp.hAPP @t224 @t1009)))) % 0.93/1.14 (assume @p838 (forall @t207 (tptp.hBOOL (tptp.hAPP @t224 @t899)))) % 0.93/1.14 (assume @p839 (forall @t835 (=> @t650 (= (tptp.hAPP (tptp.hAPP @t543 @t834) @t832) (tptp.hAPP @t302 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t507)))))) % 0.93/1.14 (assume @p840 (forall @t606 (=> @t558 (= (tptp.hAPP @t270 @t899) (tptp.hAPP (tptp.hAPP @t543 @t605) @t271))))) % 0.93/1.14 (assume @p841 (forall @t169 (= (= @t991 @t387) @t1019))) % 0.93/1.14 (assume @p842 (forall @t169 (= (= @t387 @t991) @t1019))) % 0.93/1.14 (assume @p843 (forall @t169 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t991) (or @t648 @t190)))) % 0.93/1.14 (assume @p844 (forall @t234 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t814 (tptp.hAPP @t710 @t109)) @t13) (and @t813 (= @t109 @t13))))) % 0.93/1.14 (assume @p845 (forall @t169 (= @t177 (exists @t259 (= @t50 (tptp.c_Nat_OSuc @t1018)))))) % 0.93/1.14 (assume @p846 (forall @t1020 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t199))))) % 0.93/1.14 (assume @p847 (forall @t1020 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t170))))) % 0.93/1.14 (assume @p848 (forall @t207 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t144 @t1009) @t145))) % 0.93/1.14 (assume @p849 (forall @t175 (= (tptp.hAPP @t550 @t367) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t551)))) % 0.93/1.14 (assume @p850 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t540 @t368) @t144) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 @t551)))) % 0.93/1.14 (assume @p851 (forall @t175 (=> @t390 @t1021))) % 0.93/1.14 (assume @p852 (forall @t1025 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t472 @t1024) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1023 @t1022)))) % 0.93/1.14 (assume @p853 (forall @t147 (= @t367 @t1026))) % 0.93/1.14 (assume @p854 (forall @t147 (= @t367 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t567 @t144)))) % 0.93/1.14 (assume @p855 (forall (@list @t265 @t507 @t7) (=> @t880 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t484) (= @t1027 @t484))))) % 0.93/1.14 (assume @p856 (forall @t847 (=> @t880 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t484 @t509) (= @t1027 @t509))))) % 0.93/1.14 (assume @p857 (forall @t512 (=> @t880 (=> @t511 (=> @t510 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1027 @t144)))))) % 0.93/1.14 (assume @p858 (forall @t1030 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t199 @t1028) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1001 @t198))))) % 0.93/1.14 (assume @p859 (forall (@list @t472 @t178 @t1022) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1024) @t472)) (tptp.hBOOL (tptp.hAPP @t1031 @t1023))))) % 0.93/1.14 (assume @p860 (forall (@list @t170 @t144 @t185) (=> @t187 (tptp.hBOOL (tptp.hAPP @t173 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1009 @t185)))))) % 0.93/1.14 (assume @p861 (forall @t207 (=> @t225 @t1021))) % 0.93/1.14 (assume @p862 (forall @t1030 (=> @t1029 (= @t1033 @t1032)))) % 0.93/1.14 (assume @p863 (forall (@list @t472 @t1022 @t178) (=> (tptp.hBOOL (tptp.hAPP @t181 @t1022)) (= (tptp.hBOOL (tptp.hAPP @t1034 @t1024)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1023) @t1022)))))) % 0.93/1.14 (assume @p864 (forall @t207 (=> @t225 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t171 @t144) @t170)))) % 0.93/1.14 (assume @p865 (forall @t1025 (=> @t1036 (= (= @t1035 @t178) (= @t1022 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t178 @t472)))))) % 0.93/1.14 (assume @p866 (forall @t1030 (=> @t1029 (= @t1032 @t1033)))) % 0.93/1.14 (assume @p867 (forall @t1030 (=> @t1029 (= @t1038 @t1037)))) % 0.93/1.14 (assume @p868 (forall @t1030 (=> @t1029 (= @t1037 @t1038)))) % 0.93/1.14 (assume @p869 (forall @t512 (=> @t880 (=> @t514 (=> @t513 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027) @t144))))))) % 0.93/1.14 (assume @p870 (forall @t204 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t418 @t441) (tptp.hAPP @t346 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t76))))) % 0.93/1.14 (assume @p871 (forall @t175 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t350 @t349) @t1039))) % 0.93/1.14 (assume @p872 (forall (@list @t86 @t144 @t170) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t350 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t349 @t86)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1039 @t86)))) % 0.93/1.14 (assume @p873 (forall @t625 (= (tptp.hAPP @t431 @t995) (tptp.hAPP (tptp.hAPP @t689 @t624) (tptp.hAPP @t431 @t86))))) % 0.93/1.14 (assume @p874 (forall @t60 (=> @t14 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t59) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t71)))))) % 0.93/1.14 (assume @p875 (forall @t1044 (= @t1043 (and (=> @t1042 @t260) (forall @t363 (=> @t1041 @t1040)))))) % 0.93/1.14 (assume @p876 (forall @t1044 (= @t1043 (not (or (and @t1042 @t261) (exists @t363 (and @t1041 (not @t1040)))))))) % 0.93/1.14 (assume @p877 (forall @t1047 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1046 @t170) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1045 @t1014))))) % 0.93/1.14 (assume @p878 (forall @t1047 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t1046) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1012 @t1045))))) % 0.93/1.14 (assume @p879 (forall @t147 (= @t416 @t1048))) % 0.93/1.14 (assume @p880 (forall @t1055 (=> @t1054 (= @t1053 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1050) @t50)))))) % 0.93/1.14 (assume @p881 (forall (@list @t144 @t170 @t950 @t199 @t198) (=> (tptp.hBOOL (tptp.hAPP @t227 @t199)) (= @t1056 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t200) @t950) @t170) @t144))))) % 0.93/1.14 (assume @p882 (forall @t1055 (=> @t1054 (= @t1057 (= @t1050 @t50))))) % 0.93/1.14 (assume @p883 (forall @t1059 (=> @t1036 (= @t1053 (tptp.hBOOL (tptp.hAPP @t167 @t1058)))))) % 0.93/1.14 (assume @p884 (forall (@list @t144 @t170 @t950 @t198 @t199) (=> @t228 (= @t1056 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t198 @t199)) @t950) @t144)))))) % 0.93/1.14 (assume @p885 (forall @t1059 (=> @t1036 (= @t1057 (= @t166 @t1058))))) % 0.93/1.14 (assume @p886 (forall @t282 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t812 @t560) @t38)))) % 0.93/1.14 (assume @p887 (forall @t847 (=> @t537 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1061) @t1060))))) % 0.93/1.14 (assume @p888 (forall @t847 (=> @t536 (=> @t487 (=> (not (= @t507 @t243)) (= @t1061 @t1060)))))) % 0.93/1.14 (assume @p889 (forall @t196 (= @t194 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t254 @t560)) @t290))))) % 0.93/1.14 (assume @p890 (forall @t175 (and (=> @t720 (= @t899 @t144)) (=> @t735 (= @t899 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t723 @t144))))))) % 0.93/1.14 (assume @p891 (forall @t196 (= @t339 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t254 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t290 @t560))))) % 0.93/1.14 (assume @p892 (forall @t1055 (=> @t1054 (= @t1062 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1050 @t50))))) % 0.93/1.14 (assume @p893 (forall @t1059 (=> @t1036 (= @t1062 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t166 @t1058))))) % 0.93/1.14 (assume @p894 (forall @t282 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t560 @t812)))) % 0.93/1.14 (assume @p895 (forall @t175 (and (=> @t720 (= @t551 @t145)) (=> @t735 (= @t551 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t144 (tptp.hAPP (tptp.hAPP @t540 @t723) @t144))))))) % 0.93/1.14 (assume @p896 (forall @t730 (=> @t523 (=> @t534 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t531)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t515 @t532)))))) % 0.93/1.14 (assume @p897 (forall @t204 (=> @t433 (=> @t444 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t482) (tptp.hAPP tptp.c_Int_Onat @t939)))))) % 0.93/1.14 (assume @p898 (forall @t979 (= (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t50 @t178))) (and (=> @t594 @t260) (=> (not @t594) (forall (@list @t256 @t408) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t408 @t178) (=> (= @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t600 @t256) @t408)) @t257)))))))) % 0.93/1.14 (assume @p899 (forall @t374 (=> @t840 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t1064 @t38) @t560)) (tptp.hAPP (tptp.hAPP @t284 @t1063) @t144)))))) % 0.93/1.14 (assume @p900 (forall @t230 (= (tptp.c_Int_Onat__aux @t199 @t144) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t199) @t144)))) % 0.93/1.14 (assume @p901 (forall (@list @t55 @t56) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t56 @t55)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t56))) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t55))))) % 0.93/1.14 (assume @p902 (forall @t1066 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t276 @t38) (=> (tptp.hBOOL (tptp.hAPP @t989 @t1048)) (= @t1065 @t1026))))) % 0.93/1.14 (assume @p903 (forall @t282 (=> @t840 (= (tptp.c_RComplete_Onatceiling @t1063) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1065 @t567))))) % 0.93/1.14 (assume @p904 (= (tptp.c_RComplete_Onatceiling @t13) @t145)) % 0.93/1.14 (assume @p905 (forall @t282 (tptp.hBOOL (tptp.hAPP @t146 @t1065)))) % 0.93/1.14 (assume @p906 (forall @t204 (=> @t990 (tptp.hBOOL (tptp.hAPP @t1067 (tptp.c_RComplete_Onatceiling @t76)))))) % 0.93/1.14 (assume @p907 (forall @t282 (tptp.hBOOL (tptp.hAPP @t989 (tptp.hAPP @t253 @t1065))))) % 0.93/1.14 (assume @p908 (= (tptp.c_RComplete_Onatceiling @t560) @t567)) % 0.93/1.14 (assume @p909 (forall @t147 (= (tptp.c_RComplete_Onatceiling @t276) @t144))) % 0.93/1.14 (assume @p910 (forall @t282 (=> @t1068 (= @t1065 @t145)))) % 0.93/1.14 (assume @p911 (forall @t1070 (=> (tptp.hBOOL (tptp.hAPP @t989 @t1069)) (tptp.hBOOL (tptp.hAPP @t1067 @t55))))) % 0.93/1.14 (assume @p912 (forall @t1074 (=> @t1073 (= (tptp.hBOOL (tptp.hAPP @t1072 @t43)) (tptp.hBOOL (tptp.hAPP @t232 @t1071)))))) % 0.93/1.14 (assume @p913 (forall @t815 (= (tptp.hBOOL (tptp.hAPP @t1072 @t567)) (tptp.hBOOL (tptp.hAPP @t232 @t560))))) % 0.93/1.14 (assume @p914 (forall @t1077 (=> @t1076 (= (tptp.c_RComplete_Onatceiling @t1075) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1065 @t55))))) % 0.93/1.14 (assume @p915 (forall @t1070 (=> @t840 (= (tptp.c_RComplete_Onatceiling @t1078) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1065 @t55))))) % 0.93/1.14 (assume @p916 (forall @t296 (=> (tptp.hBOOL (tptp.hAPP @t66 @t294)) (exists @t24 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t253 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t18 @t567))) @t294)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t294 @t839)))))) % 0.93/1.14 (assume @p917 (forall @t420 (=> (= @t1011 @t560) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t86 @t1079)) @t560) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t86 @t1079)) @t560) (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 @t86 tptp.c_Complex_Oii)) @t560) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t86 tptp.c_Complex_Oii)) @t560))))) % 0.93/1.14 (assume @p918 (not (= tptp.c_Complex_Oii @t1080))) % 0.93/1.14 (assume @p919 (not (= tptp.c_Complex_Oii @t1079))) % 0.93/1.14 (assume @p920 (forall (@list @t144 @t56) (=> (not (= @t56 @t1080)) (=> @t209 (exists @t32 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1079 (tptp.hAPP (tptp.hAPP @t1082 @t56) (tptp.hAPP (tptp.hAPP @t1081 @t17) @t144)))) @t560)))))) % 0.93/1.14 (assume @p921 (forall (@list @t148 @t1083 @t7 @t82) (=> (and @t356 @t105) (=> (forall @t24 (=> @t1085 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t82 (tptp.c_Groups_Ominus__class_Ominus @t82 @t1084 @t150)) @t560))) (forall @t24 (=> @t1085 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t353 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t560 (tptp.c_RealVector_Onorm__class_Onorm @t82 @t1084))))))))) % 0.93/1.14 (assume @p922 (forall @t282 (=> @t840 (= (tptp.c_RComplete_Onatfloor @t1063) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1086 @t567))))) % 0.93/1.14 (assume @p923 (forall (@list @t984 @t669 @t109 @t9 @t7) (=> @t490 (= (tptp.c_Polynomial_Opdivmod__rel @t7 @t9 @t109 @t669 @t984) (and (= @t9 (tptp.c_Groups_Oplus__class_Oplus @t242 (tptp.hAPP (tptp.hAPP @t691 @t669) @t109) @t984)) (=> @t1088 @t1089) (=> (not @t1088) (or @t1087 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t984) (tptp.c_Polynomial_Odegree @t7 @t109))))))))) % 0.93/1.14 (assume @p924 (forall @t40 (=> @t490 (tptp.c_Polynomial_Opdivmod__rel @t7 @t38 @t243 @t243 @t38)))) % 0.93/1.14 (assume @p925 (forall @t575 (=> @t490 (tptp.c_Polynomial_Opdivmod__rel @t7 @t243 @t76 @t243 @t243)))) % 0.93/1.14 (assume @p926 (forall (@list @t984 @t669 @t9 @t7) (=> @t490 (= (tptp.c_Polynomial_Opdivmod__rel @t7 @t9 @t243 @t669 @t984) (and @t1089 (= @t984 @t9)))))) % 0.93/1.14 (assume @p927 (forall (@list @t984 @t669 @t109 @t7) (=> @t490 (= (tptp.c_Polynomial_Opdivmod__rel @t7 @t243 @t109 @t669 @t984) (and @t1089 @t1087))))) % 0.93/1.14 (assume @p928 (= (tptp.c_RComplete_Onatfloor @t13) @t145)) % 0.93/1.14 (assume @p929 (forall @t282 (tptp.hBOOL (tptp.hAPP @t146 @t1086)))) % 0.93/1.14 (assume @p930 (forall (@list @t959 @t956 @t86 @t294 @t507 @t76 @t38 @t7) (=> @t490 (=> @t1090 (=> (tptp.c_Polynomial_Opdivmod__rel @t7 @t507 @t86 @t956 @t959) (tptp.c_Polynomial_Opdivmod__rel @t7 @t38 @t706 @t956 (tptp.c_Groups_Oplus__class_Oplus @t242 (tptp.hAPP @t705 @t959) @t294))))))) % 0.93/1.14 (assume @p931 (forall @t147 (= (tptp.c_RComplete_Onatfloor @t276) @t144))) % 0.93/1.14 (assume @p932 (forall @t204 (=> @t990 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1086) (tptp.c_RComplete_Onatfloor @t76)))))) % 0.93/1.14 (assume @p933 (forall (@list @t294 @t507 @t76 @t38 @t7) (=> @t490 (=> @t1090 (= @t489 @t507))))) % 0.93/1.14 (assume @p934 (forall @t1098 (=> @t490 (=> @t1097 (=> @t1095 @t1093))))) % 0.93/1.14 (assume @p935 (forall @t1098 (=> @t490 (=> @t1097 (=> @t1095 @t1099))))) % 0.93/1.14 (assume @p936 (forall @t1098 (=> @t490 (=> @t1097 (=> @t1095 (and @t1093 @t1099)))))) % 0.93/1.14 (assume @p937 (= (tptp.c_RComplete_Onatfloor @t560) @t567)) % 0.93/1.14 (assume @p938 (forall @t282 (=> @t1068 (= @t1086 @t145)))) % 0.93/1.14 (assume @p939 (forall @t282 (=> @t840 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1100) @t38))))) % 0.93/1.14 (assume @p940 (forall @t1070 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t281) @t55)) (tptp.hBOOL (tptp.hAPP @t235 @t1101))))) % 0.93/1.14 (assume @p941 (forall @t374 (=> (= @t38 @t1100) (= (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t284 @t38) @t144)) (tptp.hAPP (tptp.hAPP @t286 @t1086) @t144))))) % 0.93/1.14 (assume @p942 (forall @t1074 (=> @t1073 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43) @t1102)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1071) @t9)))))) % 0.93/1.14 (assume @p943 (forall @t815 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t567) @t1102)) (tptp.hBOOL (tptp.hAPP @t1103 @t9))))) % 0.93/1.14 (assume @p944 (forall @t282 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1100 @t560)))) % 0.93/1.14 (assume @p945 (forall @t1077 (=> @t1076 (= (tptp.c_RComplete_Onatfloor @t1075) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1086 @t55))))) % 0.93/1.14 (assume @p946 (forall @t282 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t560) @t1100))) % 0.93/1.14 (assume @p947 (forall @t374 (=> @t840 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t276) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1086 @t144))))) % 0.93/1.14 (assume @p948 (forall @t448 (=> (tptp.hBOOL (tptp.hAPP @t66 @t55)) (=> (tptp.hBOOL (tptp.hAPP @t66 @t56)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t540 @t1101) (tptp.c_RComplete_Onatfloor @t56))) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t562 @t55) @t56)))))))) % 0.93/1.14 (assume @p949 (forall @t1070 (=> @t840 (= (tptp.c_RComplete_Onatfloor @t1078) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1086 @t55))))) % 0.93/1.14 (assume @p950 (forall @t535 (=> (tptp.hBOOL (tptp.hAPP (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 @t86) @t567)) @t144)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t86 @t276)))) % 0.93/1.14 (assume @p951 (forall @t1066 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t276) @t38)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t1048) (= @t1086 @t144))))) % 0.93/1.14 (assume @p952 (forall @t204 (=> (tptp.hBOOL (tptp.hAPP @t1103 @t38)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t76) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 (tptp.hAPP @t253 @t76))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1086 @t76)))))) % 0.93/1.14 (assume @p953 (forall (@list @t144 @t55 @t294) (= (tptp.hAPP (tptp.hAPP @t1081 @t1104) @t144) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t284 @t294) @t144) (tptp.hAPP @t1064 @t55))))) % 0.93/1.14 (assume @p954 (forall @t143 (=> @t1105 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t55 @t546) @t55)))) % 0.93/1.14 (assume @p955 (forall @t1066 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1107) @t1106)))) % 0.93/1.14 (assume @p956 (forall @t582 (=> @t1110 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t863 @t576) (tptp.c_Groups_Oplus__class_Oplus @t7 @t1109 @t1108))))) % 0.93/1.14 (assume @p957 (forall @t106 (=> @t1105 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t856 @t95) (tptp.c_Groups_Oplus__class_Oplus @t7 @t1112 @t1111))))) % 0.93/1.14 (assume @p958 (forall @t106 (=> @t1105 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t58 @t95) (tptp.c_Groups_Ominus__class_Ominus @t7 @t1112 @t1111))))) % 0.93/1.14 (assume @p959 (forall @t60 (=> (and @t1115 @t1110) @t1114))) % 0.93/1.14 (assume @p960 (forall @t582 (=> @t1110 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t580 @t576) (tptp.c_Groups_Ominus__class_Ominus @t7 @t1109 @t1108))))) % 0.93/1.14 (assume @p961 (forall @t234 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t9 @t109))) (and (or (tptp.hBOOL (tptp.hAPP @t232 @t13)) (tptp.hBOOL (tptp.hAPP @t66 @t109))) (or @t1073 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t109) @t13))))))) % 0.93/1.14 (assume @p962 (forall (@list @t42 @t43 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1116 (tptp.hAPP @t1118 @t43)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1117 (tptp.hAPP @t1118 @t42))))) % 0.93/1.14 (assume @p963 (forall @t106 (=> @t1105 (= (tptp.hAPP @t544 @t1111) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t555 @t95))))) % 0.93/1.14 (assume @p964 (forall @t1119 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t568 @t55) (tptp.hAPP @t568 @t294)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t55 @t294)))) % 0.93/1.14 (assume @p965 (forall @t130 (=> @t1110 (=> @t639 @t1114)))) % 0.93/1.14 (assume @p966 (forall @t575 (=> @t1110 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t8 @t76) @t8)))) % 0.93/1.14 (assume @p967 (forall @t143 (=> @t1105 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t8 @t55) @t8)))) % 0.93/1.14 (assume @p968 (forall @t143 (=> @t1120 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t55 @t8) @t8)))) % 0.93/1.14 (assume @p969 (forall @t275 (=> @t1115 @t1121))) % 0.93/1.14 (assume @p970 (forall (@list @t144 @t55 @t56 @t7) (=> @t490 (=> @t639 @t1121)))) % 0.93/1.14 (assume @p971 (forall @t782 (=> @t1105 (=> @t1123 (= (= @t43 @t1122) (= @t776 @t42)))))) % 0.93/1.14 (assume @p972 (forall (@list @t43 @t42 @t62 @t7) (=> @t1105 (=> @t1123 (= (= @t1122 @t43) (= @t42 @t776)))))) % 0.93/1.14 (assume @p973 (forall @t913 (=> @t1105 (=> @t635 (=> (= @t56 @t641) (= @t1111 @t55)))))) % 0.93/1.14 (assume @p974 (forall @t637 (=> @t1105 (=> @t635 (=> (= @t641 @t56) (= @t55 @t1111)))))) % 0.93/1.14 (assume @p975 (forall (@list @t1124 @t765 @t95 @t56 @t55 @t7) (=> (tptp.class_RealVector_Oreal__field @t7) (= (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t555 @t795) @t1124) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t544 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t906 @t1124)) (tptp.hAPP (tptp.hAPP @t543 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t907 @t1124)) @t765)))))) % 0.93/1.14 (assume @p976 (forall @t279 (=> @t1115 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t546 @t271) (tptp.hAPP (tptp.hAPP @t267 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t546 @t55)) @t144))))) % 0.93/1.14 (assume @p977 (forall @t875 (=> @t1105 (=> (not @t737) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t43 @t42) @t546) @t138))))) % 0.93/1.14 (assume @p978 (forall @t143 (=> @t1105 @t1126))) % 0.93/1.14 (assume @p979 (forall @t143 (=> @t1120 (and (=> @t277 (= @t1125 @t8)) @t1126)))) % 0.93/1.14 (assume @p980 (forall @t1119 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1104) @t295))) % 0.93/1.14 (assume @p981 (forall @t651 (= (tptp.c_Complex_Orcis @t13 @t55) @t1080))) % 0.93/1.14 (assume @p982 (forall (@list @t170 @t144 @t55 @t7) (=> @t490 (=> @t278 (=> @t225 (= (tptp.hAPP @t270 @t171) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t605 @t271))))))) % 0.93/1.14 (assume @p983 (forall (@list @t56 @t1094 @t55 @t1096) (= (tptp.hAPP (tptp.hAPP @t1082 (tptp.c_Complex_Orcis @t1096 @t55)) (tptp.c_Complex_Orcis @t1094 @t56)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t562 @t1096) @t1094) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t55 @t56))))) % 0.93/1.14 (assume @p984 (forall @t1066 (tptp.hBOOL (tptp.hAPP @t66 @t1127)))) % 0.93/1.14 (assume @p985 (forall @t1066 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1127) @t560)))) % 0.93/1.14 (assume @p986 (forall @t903 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t7) (= (tptp.hBOOL (tptp.hAPP @t48 @t1122)) (and (=> @t772 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t776) @t42))) (=> (not @t772) (and (=> @t771 (tptp.hBOOL (tptp.hAPP @t746 @t776))) (=> (not @t771) @t748)))))))) % 0.93/1.14 (assume @p987 (forall @t1131 (=> @t1130 (tptp.class_Groups_Ocancel__comm__monoid__add @t1129)))) % 0.93/1.14 (assume @p988 (forall @t1131 (=> @t1132 (tptp.class_Rings_Ocomm__ring @t1129)))) % 0.93/1.14 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p990 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p992 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p994 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p995 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p996 (forall @t1135 (=> (tptp.class_Orderings_Opreorder @t1128) (tptp.class_Orderings_Opreorder @t1134)))) % 0.93/1.14 (assume @p997 (forall @t1135 (=> (tptp.class_Orderings_Oorder @t1128) (tptp.class_Orderings_Oorder @t1134)))) % 0.93/1.14 (assume @p998 (forall @t1135 (=> (tptp.class_Orderings_Oord @t1128) (tptp.class_Orderings_Oord @t1134)))) % 0.93/1.14 (assume @p999 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1000 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1001 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1002 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1003 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1005 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1006 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1007 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1008 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1009 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1010 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1011 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1012 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1013 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1014 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1015 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1016 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1017 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1018 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1019 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1020 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1021 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1022 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1023 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1024 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1025 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1026 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1027 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1028 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1029 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1031 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1032 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1033 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1034 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1035 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1036 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1037 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1038 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1039 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1040 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1041 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1042 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1043 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1044 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1045 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1046 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1049 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1050 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1051 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1052 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1053 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1054 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.93/1.14 (assume @p1055 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1056 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1057 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1058 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1059 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1060 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1061 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1062 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1063 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1064 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1065 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1066 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1067 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1068 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1069 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1070 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1071 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1072 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1073 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1074 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1075 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1076 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1077 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1078 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1079 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1080 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1081 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1082 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1083 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1084 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1085 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1086 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1087 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1088 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1090 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1091 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1092 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.93/1.14 (assume @p1093 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.93/1.14 (assume @p1094 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.93/1.14 (assume @p1095 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.93/1.14 (assume @p1096 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1097 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1098 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1099 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1100 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1101 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1102 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1103 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1104 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1105 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1106 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1107 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1108 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1109 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1110 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1111 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1112 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1113 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1114 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1115 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1116 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1117 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1118 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1119 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1120 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1121 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1122 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1123 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1124 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1128 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1129 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1130 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1131 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1132 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1133 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1134 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1135 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1136 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1137 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1138 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1139 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1140 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1141 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1142 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1143 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1144 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1145 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1146 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1147 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1148 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1149 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1150 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1151 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1152 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1153 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1154 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1155 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1156 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1157 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1158 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1159 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1160 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1161 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.93/1.14 (assume @p1162 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1163 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1164 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1165 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1166 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1167 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1168 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1169 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1170 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1171 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1172 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1173 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1174 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1175 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1176 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1177 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1178 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1179 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1180 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1181 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1182 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1183 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1184 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1185 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1186 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1187 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1188 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1189 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1190 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1191 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1192 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1193 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1194 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1195 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1196 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1197 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1198 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1199 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1200 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1201 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.93/1.14 (assume @p1202 (forall @t1131 (=> @t1136 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1129)))) % 0.93/1.14 (assume @p1203 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1129)))) % 0.93/1.14 (assume @p1204 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1129)))) % 0.93/1.14 (assume @p1205 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1129)))) % 0.93/1.14 (assume @p1206 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__semiring__1__strict @t1129)))) % 0.93/1.14 (assume @p1207 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__semiring__strict @t1129)))) % 0.93/1.14 (assume @p1208 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__ab__semigroup__add @t1129)))) % 0.93/1.14 (assume @p1209 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__ab__group__add__abs @t1129)))) % 0.93/1.14 (assume @p1210 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__comm__monoid__add @t1129)))) % 0.93/1.14 (assume @p1211 (forall @t1131 (=> @t1137 (tptp.class_Groups_Olinordered__ab__group__add @t1129)))) % 0.93/1.14 (assume @p1212 (forall @t1131 (=> @t1130 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1129)))) % 0.93/1.14 (assume @p1213 (forall @t1131 (=> @t1136 (tptp.class_Rings_Oring__1__no__zero__divisors @t1129)))) % 0.93/1.14 (assume @p1214 (forall @t1131 (=> @t1137 (tptp.class_Rings_Oordered__cancel__semiring @t1129)))) % 0.93/1.14 (assume @p1215 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__ring__strict @t1129)))) % 0.93/1.14 (assume @p1216 (forall @t1131 (=> @t1136 (tptp.class_Rings_Oring__no__zero__divisors @t1129)))) % 0.93/1.14 (assume @p1217 (forall @t1131 (=> @t1137 (tptp.class_Rings_Oordered__comm__semiring @t1129)))) % 0.93/1.14 (assume @p1218 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__semiring__1 @t1129)))) % 0.93/1.14 (assume @p1219 (forall @t1131 (=> @t1137 (tptp.class_Groups_Oordered__ab__group__add @t1129)))) % 0.93/1.14 (assume @p1220 (forall @t1131 (=> @t1130 (tptp.class_Groups_Ocancel__semigroup__add @t1129)))) % 0.93/1.14 (assume @p1221 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__semiring @t1129)))) % 0.93/1.14 (assume @p1222 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__semidom @t1129)))) % 0.93/1.14 (assume @p1223 (forall @t1131 (=> @t1138 (tptp.class_Groups_Oab__semigroup__mult @t1129)))) % 0.93/1.14 (assume @p1224 (forall @t1131 (=> @t1139 (tptp.class_Groups_Ocomm__monoid__mult @t1129)))) % 0.93/1.14 (assume @p1225 (forall @t1131 (=> @t1140 (tptp.class_Groups_Oab__semigroup__add @t1129)))) % 0.93/1.14 (assume @p1226 (forall @t1131 (=> @t1137 (tptp.class_Rings_Oordered__semiring @t1129)))) % 0.93/1.14 (assume @p1227 (forall @t1131 (=> @t1137 (tptp.class_Rings_Oordered__ring__abs @t1129)))) % 0.93/1.14 (assume @p1228 (forall @t1131 (=> @t1136 (tptp.class_Rings_Ono__zero__divisors @t1129)))) % 0.93/1.14 (assume @p1229 (forall @t1131 (=> @t1140 (tptp.class_Groups_Ocomm__monoid__add @t1129)))) % 0.93/1.14 (assume @p1230 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__ring @t1129)))) % 0.93/1.14 (assume @p1231 (forall @t1131 (=> @t1137 (tptp.class_Rings_Olinordered__idom @t1129)))) % 0.93/1.14 (assume @p1232 (forall @t1131 (=> @t1139 (tptp.class_Rings_Ocomm__semiring__1 @t1129)))) % 0.93/1.14 (assume @p1233 (forall @t1131 (=> @t1138 (tptp.class_Rings_Ocomm__semiring__0 @t1129)))) % 0.93/1.14 (assume @p1234 (forall @t1131 (=> (tptp.class_Fields_Ofield @t1128) (tptp.class_Divides_Osemiring__div @t1129)))) % 0.93/1.14 (assume @p1235 (forall @t1131 (=> @t1138 (tptp.class_Rings_Ocomm__semiring @t1129)))) % 0.93/1.14 (assume @p1236 (forall @t1131 (=> @t1137 (tptp.class_Nat_Osemiring__char__0 @t1129)))) % 0.93/1.14 (assume @p1237 (forall @t1131 (=> @t1141 (tptp.class_Groups_Oab__group__add @t1129)))) % 0.93/1.14 (assume @p1238 (forall @t1131 (=> @t1139 (tptp.class_Rings_Ozero__neq__one @t1129)))) % 0.93/1.14 (assume @p1239 (forall @t1131 (=> @t1137 (tptp.class_Rings_Oordered__ring @t1129)))) % 0.93/1.14 (assume @p1240 (forall @t1131 (=> @t1137 (tptp.class_Orderings_Opreorder @t1129)))) % 0.93/1.14 (assume @p1241 (forall @t1131 (=> @t1137 (tptp.class_Orderings_Olinorder @t1129)))) % 0.93/1.14 (assume @p1242 (forall @t1131 (=> @t1139 (tptp.class_Groups_Omonoid__mult @t1129)))) % 0.93/1.14 (assume @p1243 (forall @t1131 (=> @t1142 (tptp.class_Rings_Ocomm__ring__1 @t1129)))) % 0.93/1.14 (assume @p1244 (forall @t1131 (=> @t1140 (tptp.class_Groups_Omonoid__add @t1129)))) % 0.93/1.14 (assume @p1245 (forall @t1131 (=> @t1139 (tptp.class_Rings_Osemiring__1 @t1129)))) % 0.93/1.14 (assume @p1246 (forall @t1131 (=> @t1138 (tptp.class_Rings_Osemiring__0 @t1129)))) % 0.93/1.14 (assume @p1247 (forall @t1131 (=> @t1141 (tptp.class_Groups_Ogroup__add @t1129)))) % 0.93/1.14 (assume @p1248 (forall @t1131 (=> @t1138 (tptp.class_Rings_Omult__zero @t1129)))) % 0.93/1.14 (assume @p1249 (forall @t1131 (=> @t1137 (tptp.class_Orderings_Oorder @t1129)))) % 0.93/1.14 (assume @p1250 (forall @t1131 (=> @t1138 (tptp.class_Rings_Osemiring @t1129)))) % 0.93/1.14 (assume @p1251 (forall @t1131 (=> @t1137 (tptp.class_Orderings_Oord @t1129)))) % 0.93/1.14 (assume @p1252 (forall @t1131 (=> @t1142 (tptp.class_Rings_Oring__1 @t1129)))) % 0.93/1.14 (assume @p1253 (forall @t1131 (=> @t1139 (tptp.class_Power_Opower @t1129)))) % 0.93/1.14 (assume @p1254 (forall @t1131 (=> (tptp.class_Groups_Ozero @t1128) (tptp.class_Groups_Ozero @t1129)))) % 0.93/1.14 (assume @p1255 (forall @t1131 (=> @t1132 (tptp.class_Rings_Oring @t1129)))) % 0.93/1.14 (assume @p1256 (forall @t1131 (=> @t1136 (tptp.class_Rings_Oidom @t1129)))) % 0.93/1.14 (assume @p1257 (forall @t1131 (=> @t1139 (tptp.class_Groups_Oone @t1129)))) % 0.93/1.14 (assume @p1258 @t1145) % 0.93/1.14 (assume @p1259 (not tptp.v_thesis____)) % 0.93/1.14 (assume @p1260 true) % 0.93/1.14 (step @p1261 :rule quant-merge-prenex :args ((= (forall @t36 @t1154) @t1152))) % 0.93/1.14 (step @p1262 :rule alpha_equiv :args (@t1155 (@list @t1146) (@list @t17))) % 0.93/1.14 (step @p1263 :rule refl :args (@t1150)) % 0.93/1.14 (step @p1264 :rule nary_cong :premises (@p1263 @p1262) :args (@t1156)) % 0.93/1.14 (step @p1265 :rule quant-miniscope-or :args ((= @t1154 @t1156))) % 0.93/1.14 (step @p1266 :rule trans :premises (@p1265 @p1264)) % 0.93/1.14 (step @p1267 :rule symm :premises (@p1266)) % 0.93/1.14 (step @p1268 :rule cong :premises (@p1267) :args (@t1162)) % 0.93/1.14 (step @p1269 :rule trans :premises (@p1268 @p1261)) % 0.93/1.14 (step @p1270 :rule bool-double-not-elim :args (@t1160)) % 0.93/1.14 (step @p1271 :rule nary_cong :premises (@p1263 @p1270) :args ((or @t1150 @t1164))) % 0.93/1.14 (step @p1272 :rule bool-and-de-morgan :args (@t34 @t1163 true)) % 0.93/1.14 (step @p1273 :rule trans :premises (@p1272 @p1271)) % 0.93/1.14 (step @p1274 :rule cong :premises (@p1273) :args (@t1166)) % 0.93/1.14 (step @p1275 :rule trans :premises (@p1274 @p1269)) % 0.93/1.14 (step @p1276 :rule cong :premises (@p1275) :args (@t1167)) % 0.93/1.14 (step @p1277 :rule exists-elim :args ((= (exists @t36 @t1165) @t1167))) % 0.93/1.14 (step @p1278 :rule trans :premises (@p1277 @p1276)) % 0.93/1.14 (step @p1279 :rule exists-elim :args ((= (exists @t32 @t1159) @t1163))) % 0.93/1.14 (step @p1280 :rule bool-impl-elim :args (@t28 @t1158)) % 0.93/1.14 (step @p1281 :rule cong :premises (@p1280) :args ((forall @t30 (=> @t28 @t1158)))) % 0.93/1.14 (step @p1282 :rule exists-elim :args ((= (exists @t26 @t1157) @t1158))) % 0.93/1.14 (step @p1283 :rule bool-impl-elim :args (@t23 @t21)) % 0.93/1.14 (step @p1284 :rule cong :premises (@p1283) :args (@t25)) % 0.93/1.14 (step @p1285 :rule cong :premises (@p1284) :args (@t27)) % 0.93/1.14 (step @p1286 :rule trans :premises (@p1285 @p1282)) % 0.93/1.14 (step @p1287 :rule refl :args (@t28)) % 0.93/1.14 (step @p1288 :rule cong :premises (@p1287 @p1286) :args (@t29)) % 0.93/1.14 (step @p1289 :rule cong :premises (@p1288) :args (@t31)) % 0.93/1.14 (step @p1290 :rule trans :premises (@p1289 @p1281)) % 0.93/1.14 (step @p1291 :rule cong :premises (@p1290) :args (@t33)) % 0.93/1.14 (step @p1292 :rule trans :premises (@p1291 @p1279)) % 0.93/1.14 (step @p1293 :rule refl :args (@t34)) % 0.93/1.14 (step @p1294 :rule nary_cong :premises (@p1293 @p1292) :args (@t35)) % 0.93/1.14 (step @p1295 :rule cong :premises (@p1294) :args (@t37)) % 0.93/1.14 (step @p1296 :rule trans :premises (@p1295 @p1278)) % 0.93/1.14 (step @p1297 :rule eq_resolve :premises (@p3 @p1296)) % 0.93/1.14 (step @p1298 :rule refl :args (tptp.v_thesis____)) % 0.93/1.14 (step @p1299 :rule nary_cong :premises (@p1298 @p1269) :args (@t1168)) % 0.93/1.14 (step @p1300 :rule quant-miniscope-or :args ((= (forall @t36 @t1169) @t1168))) % 0.93/1.14 (step @p1301 :rule aci_norm :args ((= @t1170 @t1169))) % 0.93/1.14 (step @p1302 :rule cong :premises (@p1301) :args ((forall @t36 @t1170))) % 0.93/1.14 (step @p1303 :rule trans :premises (@p1302 @p1300)) % 0.93/1.14 (step @p1304 :rule trans :premises (@p1303 @p1299)) % 0.93/1.14 (step @p1305 :rule aci_norm :args ((= (or @t1150 (or @t1160 tptp.v_thesis____)) @t1170))) % 0.93/1.14 (step @p1306 :rule refl :args (tptp.v_thesis____)) % 0.93/1.14 (step @p1307 :rule nary_cong :premises (@p1270 @p1306) :args ((or @t1164 tptp.v_thesis____))) % 0.93/1.14 (step @p1308 :rule bool-impl-elim :args (@t1163 tptp.v_thesis____)) % 0.93/1.14 (step @p1309 :rule trans :premises (@p1308 @p1307)) % 0.93/1.14 (step @p1310 :rule nary_cong :premises (@p1263 @p1309) :args ((or @t1150 @t1171))) % 0.93/1.14 (step @p1311 :rule trans :premises (@p1310 @p1305)) % 0.93/1.14 (step @p1312 :rule bool-impl-elim :args (@t34 @t1171)) % 0.93/1.14 (step @p1313 :rule trans :premises (@p1312 @p1311)) % 0.93/1.14 (step @p1314 :rule cong :premises (@p1313) :args ((forall @t36 (=> @t34 @t1171)))) % 0.93/1.14 (step @p1315 :rule trans :premises (@p1314 @p1304)) % 0.93/1.14 (step @p1316 :rule cong :premises (@p1292 @p1298) :args (@t1143)) % 0.93/1.14 (step @p1317 :rule cong :premises (@p1293 @p1316) :args (@t1144)) % 0.93/1.14 (step @p1318 :rule cong :premises (@p1317) :args (@t1145)) % 0.93/1.14 (step @p1319 :rule trans :premises (@p1318 @p1315)) % 0.93/1.14 (step @p1320 :rule eq_resolve :premises (@p1258 @p1319)) % 0.93/1.14 (step @p1321 :rule chain_m_resolution :premises (@p1320 @p1297) :args (tptp.v_thesis____ (@list true) (@list @t1152))) % 0.93/1.14 (step @p1322 false :rule chain_m_resolution :premises (@p1259 @p1321) :args (false (@list false) (@list tptp.v_thesis____))) % 0.93/1.14 ) % 0.93/1.14 % SZS output end Proof % 0.93/1.14 % cvc5 exiting %------------------------------------------------------------------------------