%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW221+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 : n001.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 0.83s 1.06s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW221+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:41:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF % 0.83/1.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.06 % SZS status Theorem % 0.83/1.06 % SZS output start Proof % 0.83/1.06 ( % 0.83/1.06 (declare-sort $$unsorted 0) % 0.83/1.06 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.v_w____ $$unsorted) % 0.83/1.06 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.v_thesis____ Bool) % 0.83/1.06 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Int_OPls $$unsorted) % 0.83/1.06 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.83/1.06 (declare-const tptp.v_s____ $$unsorted) % 0.83/1.06 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.83/1.06 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.v_z____ $$unsorted) % 0.83/1.06 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.83/1.06 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.83/1.06 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.v_p $$unsorted) % 0.83/1.06 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.83/1.06 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.v_f____ $$unsorted) % 0.83/1.06 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt (-> $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.06 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.83/1.06 (declare-const tptp.v_r $$unsorted) % 0.83/1.06 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.83/1.06 (define @t1 () (@var "V_ga_2" $$unsorted)) % 0.83/1.06 (define @t2 () (@var "V_fa_2" $$unsorted)) % 0.83/1.06 (define @t3 () (@var "B_x" $$unsorted)) % 0.83/1.06 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.83/1.06 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.83/1.06 (define @t6 () (@list @t3)) % 0.83/1.06 (define @t7 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal tptp.v_s____)) % 0.83/1.06 (define @t8 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 0.83/1.06 (define @t9 () (tptp.hAPP @t8 tptp.v_z____)) % 0.83/1.06 (define @t10 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t9) @t7))) % 0.83/1.06 (define @t11 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (define @t12 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 0.83/1.06 (define @t13 () (tptp.c_Int_OBit0 @t12)) % 0.83/1.06 (define @t14 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t13)) % 0.83/1.06 (define @t15 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t10 @t14)) % 0.83/1.06 (define @t16 () (@var "B_w" $$unsorted)) % 0.83/1.06 (define @t17 () (tptp.hAPP @t8 @t16)) % 0.83/1.06 (define @t18 () (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 @t17 @t9)) @t15)) % 0.83/1.06 (define @t19 () (@var "B_d" $$unsorted)) % 0.83/1.06 (define @t20 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t16 tptp.v_z____))) % 0.83/1.06 (define @t21 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t20 @t19)) % 0.83/1.06 (define @t22 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t20)) % 0.83/1.06 (define @t23 () (and @t22 @t21)) % 0.83/1.06 (define @t24 () (@list @t16)) % 0.83/1.06 (define @t25 () (forall @t24 (=> @t23 @t18))) % 0.83/1.06 (define @t26 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t19)) % 0.83/1.06 (define @t27 () (and @t26 @t25)) % 0.83/1.06 (define @t28 () (@list @t19)) % 0.83/1.06 (define @t29 () (exists @t28 @t27)) % 0.83/1.06 (define @t30 () (@var "V_ra_2" $$unsorted)) % 0.83/1.06 (define @t31 () (@var "T_a" $$unsorted)) % 0.83/1.06 (define @t32 () (tptp.c_Groups_Ozero__class_Ozero @t31)) % 0.83/1.06 (define @t33 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t13)) % 0.83/1.06 (define @t34 () (tptp.class_Int_Onumber__ring @t31)) % 0.83/1.06 (define @t35 () (tptp.class_Fields_Olinordered__field__inverse__zero @t31)) % 0.83/1.06 (define @t36 () (and @t35 @t34)) % 0.83/1.06 (define @t37 () (@var "V_r" $$unsorted)) % 0.83/1.06 (define @t38 () (@var "V_x" $$unsorted)) % 0.83/1.06 (define @t39 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t38)) % 0.83/1.06 (define @t40 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t39)) % 0.83/1.06 (define @t41 () (tptp.c_Orderings_Oord__class_Oless @t31 @t39 @t32)) % 0.83/1.06 (define @t42 () (tptp.class_Rings_Olinordered__idom @t31)) % 0.83/1.06 (define @t43 () (and @t34 @t42)) % 0.83/1.06 (define @t44 () (@list @t38 @t31)) % 0.83/1.06 (define @t45 () (@var "V_a" $$unsorted)) % 0.83/1.06 (define @t46 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t45)) % 0.83/1.06 (define @t47 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t45 @t11)) % 0.83/1.06 (define @t48 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t37)) % 0.83/1.06 (define @t49 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t37 @t11)) % 0.83/1.06 (define @t50 () (@list @t37)) % 0.83/1.06 (define @t51 () (@var "V_w" $$unsorted)) % 0.83/1.06 (define @t52 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t51)) % 0.83/1.06 (define @t53 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t31)) % 0.83/1.06 (define @t54 () (@list @t51 @t31)) % 0.83/1.06 (define @t55 () (@var "V_b" $$unsorted)) % 0.83/1.06 (define @t56 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t55)) % 0.83/1.06 (define @t57 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t45)) % 0.83/1.06 (define @t58 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t55)) % 0.83/1.06 (define @t59 () (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t58) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t57 @t56))) % 0.83/1.06 (define @t60 () (= @t55 @t32)) % 0.83/1.06 (define @t61 () (not @t60)) % 0.83/1.06 (define @t62 () (tptp.class_RealVector_Oreal__normed__field @t31)) % 0.83/1.06 (define @t63 () (@list @t45 @t55 @t31)) % 0.83/1.06 (define @t64 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t12)) % 0.83/1.06 (define @t65 () (tptp.class_Fields_Ofield @t31)) % 0.83/1.06 (define @t66 () (and @t65 @t34)) % 0.83/1.06 (define @t67 () (@list @t45 @t31)) % 0.83/1.06 (define @t68 () (@var "V_x_2" $$unsorted)) % 0.83/1.06 (define @t69 () (= @t68 @t32)) % 0.83/1.06 (define @t70 () (not @t69)) % 0.83/1.06 (define @t71 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t68)) % 0.83/1.06 (define @t72 () (tptp.class_RealVector_Oreal__normed__vector @t31)) % 0.83/1.06 (define @t73 () (@list @t68 @t31)) % 0.83/1.06 (define @t74 () (@var "V_y" $$unsorted)) % 0.83/1.06 (define @t75 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t38 @t74)) % 0.83/1.06 (define @t76 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t74)) % 0.83/1.06 (define @t77 () (@list @t38 @t74 @t31)) % 0.83/1.06 (define @t78 () (tptp.c_Int_Onumber__class_Onumber__of @t31 tptp.c_Int_OPls)) % 0.83/1.06 (define @t79 () (tptp.class_Fields_Ofield__inverse__zero @t31)) % 0.83/1.06 (define @t80 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 0.83/1.06 (define @t81 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.83/1.06 (define @t82 () (@var "V_wa_2" $$unsorted)) % 0.83/1.06 (define @t83 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t82 @t81)) % 0.83/1.06 (define @t84 () (tptp.c_Int_OBit0 @t82)) % 0.83/1.06 (define @t85 () (@list @t82)) % 0.83/1.06 (define @t86 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls)) % 0.83/1.06 (define @t87 () (@var "V_k" $$unsorted)) % 0.83/1.06 (define @t88 () (tptp.c_Int_OBit0 @t87)) % 0.83/1.06 (define @t89 () (@list @t87)) % 0.83/1.06 (define @t90 () (@var "V_k2_2" $$unsorted)) % 0.83/1.06 (define @t91 () (@var "V_k1_2" $$unsorted)) % 0.83/1.06 (define @t92 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t91 @t90)) % 0.83/1.06 (define @t93 () (tptp.c_Int_OBit1 @t90)) % 0.83/1.06 (define @t94 () (tptp.c_Int_OBit1 @t91)) % 0.83/1.06 (define @t95 () (@list @t90 @t91)) % 0.83/1.06 (define @t96 () (@var "V_l_2" $$unsorted)) % 0.83/1.06 (define @t97 () (@var "V_k_2" $$unsorted)) % 0.83/1.06 (define @t98 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 @t96)) % 0.83/1.06 (define @t99 () (tptp.c_Int_OBit1 @t96)) % 0.83/1.06 (define @t100 () (tptp.c_Int_OBit1 @t97)) % 0.83/1.06 (define @t101 () (@list @t96 @t97)) % 0.83/1.06 (define @t102 () (tptp.c_Int_OBit0 @t90)) % 0.83/1.06 (define @t103 () (tptp.c_Int_OBit0 @t91)) % 0.83/1.06 (define @t104 () (tptp.c_Int_OBit0 @t96)) % 0.83/1.06 (define @t105 () (tptp.c_Int_OBit0 @t97)) % 0.83/1.06 (define @t106 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 tptp.c_Int_OPls)) % 0.83/1.06 (define @t107 () (@list @t97)) % 0.83/1.06 (define @t108 () (@var "V_y_2" $$unsorted)) % 0.83/1.06 (define @t109 () (= @t68 @t108)) % 0.83/1.06 (define @t110 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t108)) % 0.83/1.06 (define @t111 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t68)) % 0.83/1.06 (define @t112 () (= @t111 @t110)) % 0.83/1.06 (define @t113 () (tptp.class_Int_Oring__char__0 @t31)) % 0.83/1.06 (define @t114 () (and @t34 @t113)) % 0.83/1.06 (define @t115 () (@list @t108 @t68 @t31)) % 0.83/1.06 (define @t116 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t82)) % 0.83/1.06 (define @t117 () (tptp.class_Int_Onumber @t31)) % 0.83/1.06 (define @t118 () (= @t97 @t96)) % 0.83/1.06 (define @t119 () (@var "V_v" $$unsorted)) % 0.83/1.06 (define @t120 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t119)) % 0.83/1.06 (define @t121 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t120 @t52)) % 0.83/1.06 (define @t122 () (@list @t51 @t119 @t31)) % 0.83/1.06 (define @t123 () (@list @t74 @t31)) % 0.83/1.06 (define @t124 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t52)) % 0.83/1.06 (define @t125 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t51)) % 0.83/1.06 (define @t126 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t125)) % 0.83/1.06 (define @t127 () (@var "V_ya" $$unsorted)) % 0.83/1.06 (define @t128 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t74 @t127)) % 0.83/1.06 (define @t129 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t38 @t127)) % 0.83/1.06 (define @t130 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t38 @t74)) % 0.83/1.06 (define @t131 () (@list @t127 @t74 @t38 @t31)) % 0.83/1.06 (define @t132 () (tptp.c_Int_OBit1 @t87)) % 0.83/1.06 (define @t133 () (@var "V_l" $$unsorted)) % 0.83/1.06 (define @t134 () (tptp.c_Int_OBit1 @t133)) % 0.83/1.06 (define @t135 () (@list @t133)) % 0.83/1.06 (define @t136 () (tptp.c_Int_OBit0 @t133)) % 0.83/1.06 (define @t137 () (@list @t133 @t87)) % 0.83/1.06 (define @t138 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t55 @t45)) % 0.83/1.06 (define @t139 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t55)) % 0.83/1.06 (define @t140 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t139)) % 0.83/1.06 (define @t141 () (@list @t55 @t45 @t31)) % 0.83/1.06 (define @t142 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t55)) % 0.83/1.06 (define @t143 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t45)) % 0.83/1.06 (define @t144 () (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t143 @t142) @t58)) % 0.83/1.06 (define @t145 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t38)) % 0.83/1.06 (define @t146 () (@list @t74 @t38 @t31)) % 0.83/1.06 (define @t147 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t58)) % 0.83/1.06 (define @t148 () (= @t147 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t142))) % 0.83/1.06 (define @t149 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t38)) % 0.83/1.06 (define @t150 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t55)) % 0.83/1.06 (define @t151 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t45)) % 0.83/1.06 (define @t152 () (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t58) (tptp.c_Rings_Oinverse__class_Odivide @t31 @t151 @t150))) % 0.83/1.06 (define @t153 () (@var "V_c" $$unsorted)) % 0.83/1.06 (define @t154 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t55 @t153)) % 0.83/1.06 (define @t155 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t153)) % 0.83/1.06 (define @t156 () (tptp.c_Orderings_Oord__class_Oless @t31 @t155 @t154)) % 0.83/1.06 (define @t157 () (tptp.c_Orderings_Oord__class_Oless @t31 @t153 @t32)) % 0.83/1.06 (define @t158 () (tptp.c_Orderings_Oord__class_Oless @t31 @t55 @t45)) % 0.83/1.06 (define @t159 () (tptp.class_Fields_Olinordered__field @t31)) % 0.83/1.06 (define @t160 () (@list @t153 @t45 @t55 @t31)) % 0.83/1.06 (define @t161 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t153)) % 0.83/1.06 (define @t162 () (tptp.c_Orderings_Oord__class_Oless @t31 @t45 @t55)) % 0.83/1.06 (define @t163 () (@list @t153 @t55 @t45 @t31)) % 0.83/1.06 (define @t164 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t75)) % 0.83/1.06 (define @t165 () (tptp.c_Orderings_Oord__class_Oless @t31 @t74 @t32)) % 0.83/1.06 (define @t166 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t32)) % 0.83/1.06 (define @t167 () (tptp.c_Orderings_Oord__class_Oless @t31 @t75 @t32)) % 0.83/1.06 (define @t168 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t38)) % 0.83/1.06 (define @t169 () (@var "V_b_2" $$unsorted)) % 0.83/1.06 (define @t170 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t169)) % 0.83/1.06 (define @t171 () (@var "V_a_2" $$unsorted)) % 0.83/1.06 (define @t172 () (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t32)) % 0.83/1.06 (define @t173 () (tptp.c_Orderings_Oord__class_Oless @t31 @t169 @t32)) % 0.83/1.06 (define @t174 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t171)) % 0.83/1.06 (define @t175 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t171 @t169)) % 0.83/1.06 (define @t176 () (@list @t169 @t171 @t31)) % 0.83/1.06 (define @t177 () (@list @t31)) % 0.83/1.06 (define @t178 () (@list @t108 @t31)) % 0.83/1.06 (define @t179 () (= @t151 @t143)) % 0.83/1.06 (define @t180 () (tptp.c_Orderings_Oord__class_Oless @t31 @t45 @t32)) % 0.83/1.06 (define @t181 () (=> @t180 @t179)) % 0.83/1.06 (define @t182 () (tptp.class_Groups_Oordered__ab__group__add__abs @t31)) % 0.83/1.06 (define @t183 () (= @t151 @t45)) % 0.83/1.06 (define @t184 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t13)) % 0.83/1.06 (define @t185 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.83/1.06 (define @t186 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t171)) % 0.83/1.06 (define @t187 () (tptp.c_Orderings_Oord__class_Oless @t31 @t186 @t169)) % 0.83/1.06 (define @t188 () (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t169)) % 0.83/1.06 (define @t189 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t171)) % 0.83/1.06 (define @t190 () (tptp.class_Rings_Odivision__ring @t31)) % 0.83/1.06 (define @t191 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t45)) % 0.83/1.06 (define @t192 () (= @t171 @t32)) % 0.83/1.06 (define @t193 () (not @t192)) % 0.83/1.06 (define @t194 () (@list @t171 @t31)) % 0.83/1.06 (define @t195 () (tptp.class_Groups_Ogroup__add @t31)) % 0.83/1.06 (define @t196 () (tptp.class_Groups_Olinordered__ab__group__add @t31)) % 0.83/1.06 (define @t197 () (@var "V_i" $$unsorted)) % 0.83/1.06 (define @t198 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t197)) % 0.83/1.06 (define @t199 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t197 @t81)) % 0.83/1.06 (define @t200 () (@var "V_z" $$unsorted)) % 0.83/1.06 (define @t201 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t200)) % 0.83/1.06 (define @t202 () (@list @t200)) % 0.83/1.06 (define @t203 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t51)) % 0.83/1.06 (define @t204 () (@list @t51)) % 0.83/1.06 (define @t205 () (= @t38 @t74)) % 0.83/1.06 (define @t206 () (@list @t74 @t38)) % 0.83/1.06 (define @t207 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t96)) % 0.83/1.06 (define @t208 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t97)) % 0.83/1.06 (define @t209 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t87 @t133)) % 0.83/1.06 (define @t210 () (tptp.c_Int_OBit0 @t209)) % 0.83/1.06 (define @t211 () (tptp.class_Groups_Ozero @t31)) % 0.83/1.06 (define @t212 () (tptp.c_Orderings_Oord__class_Oless @t31 @t74 @t38)) % 0.83/1.06 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t74)) % 0.83/1.06 (define @t214 () (not @t213)) % 0.83/1.06 (define @t215 () (not @t205)) % 0.83/1.06 (define @t216 () (=> @t215 (=> @t214 @t212))) % 0.83/1.06 (define @t217 () (@var "V_d_2" $$unsorted)) % 0.83/1.06 (define @t218 () (@var "V_c_2" $$unsorted)) % 0.83/1.06 (define @t219 () (= @t171 @t169)) % 0.83/1.06 (define @t220 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t171 @t169)) % 0.83/1.06 (define @t221 () (= @t220 (tptp.c_Groups_Ominus__class_Ominus @t31 @t218 @t217))) % 0.83/1.06 (define @t222 () (tptp.class_Groups_Oab__group__add @t31)) % 0.83/1.06 (define @t223 () (@list @t217 @t218 @t169 @t171 @t31)) % 0.83/1.06 (define @t224 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t169)) % 0.83/1.06 (define @t225 () (= @t171 @t224)) % 0.83/1.06 (define @t226 () (@var "V_v_H_2" $$unsorted)) % 0.83/1.06 (define @t227 () (@var "V_v_2" $$unsorted)) % 0.83/1.06 (define @t228 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t226)) % 0.83/1.06 (define @t229 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t226)) % 0.83/1.06 (define @t230 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t227)) % 0.83/1.06 (define @t231 () (@list @t226 @t227)) % 0.83/1.06 (define @t232 () (@list @t227)) % 0.83/1.06 (define @t233 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 0.83/1.06 (define @t234 () (= @t220 @t32)) % 0.83/1.06 (define @t235 () (tptp.class_Groups_Oordered__ab__group__add @t31)) % 0.83/1.06 (define @t236 () (@list @t171 @t169 @t31)) % 0.83/1.06 (define @t237 () (tptp.class_Rings_Odivision__ring__inverse__zero @t31)) % 0.83/1.06 (define @t238 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t139)) % 0.83/1.06 (define @t239 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t138)) % 0.83/1.06 (define @t240 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t139)) % 0.83/1.06 (define @t241 () (@var "V_n" $$unsorted)) % 0.83/1.06 (define @t242 () (@list @t241)) % 0.83/1.06 (define @t243 () (@var "B_n" $$unsorted)) % 0.83/1.06 (define @t244 () (tptp.hAPP @t2 @t243)) % 0.83/1.06 (define @t245 () (@var "B_m" $$unsorted)) % 0.83/1.06 (define @t246 () (@list @t245 @t243)) % 0.83/1.06 (define @t247 () (tptp.c_SEQ_Osubseq @t2)) % 0.83/1.06 (define @t248 () (@list @t2)) % 0.83/1.06 (define @t249 () (@var "B_e" $$unsorted)) % 0.83/1.06 (define @t250 () (@var "B_N" $$unsorted)) % 0.83/1.06 (define @t251 () (@list @t243)) % 0.83/1.06 (define @t252 () (@list @t250)) % 0.83/1.06 (define @t253 () (@var "V_p" $$unsorted)) % 0.83/1.06 (define @t254 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t253) @t38)) % 0.83/1.06 (define @t255 () (tptp.tc_Polynomial_Opoly @t31)) % 0.83/1.06 (define @t256 () (tptp.class_Rings_Ocomm__ring @t31)) % 0.83/1.06 (define @t257 () (@var "V_q" $$unsorted)) % 0.83/1.06 (define @t258 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t257) @t38)) % 0.83/1.06 (define @t259 () (@list @t38 @t257 @t253 @t31)) % 0.83/1.06 (define @t260 () (tptp.c_Groups_Ozero__class_Ozero @t255)) % 0.83/1.06 (define @t261 () (tptp.c_Polynomial_Opoly @t31 @t260)) % 0.83/1.06 (define @t262 () (tptp.class_Rings_Ocomm__semiring__0 @t31)) % 0.83/1.06 (define @t263 () (@var "V_n_2" $$unsorted)) % 0.83/1.06 (define @t264 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t263)) % 0.83/1.06 (define @t265 () (= @t263 @t185)) % 0.83/1.06 (define @t266 () (not @t265)) % 0.83/1.06 (define @t267 () (@list @t263)) % 0.83/1.06 (define @t268 () (@var "V_m_2" $$unsorted)) % 0.83/1.06 (define @t269 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t268 @t263)) % 0.83/1.06 (define @t270 () (@list @t268 @t263)) % 0.83/1.06 (define @t271 () (tptp.c_Groups_Oabs__class_Oabs @t255 @t38)) % 0.83/1.06 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t255 @t38 @t260)) % 0.83/1.06 (define @t273 () (@list @t257 @t31)) % 0.83/1.06 (define @t274 () (@list @t253 @t31)) % 0.83/1.06 (define @t275 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t263)) % 0.83/1.06 (define @t276 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t263 @t97)) % 0.83/1.06 (define @t277 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t268 @t97)) % 0.83/1.06 (define @t278 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t263)) % 0.83/1.06 (define @t279 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t268)) % 0.83/1.06 (define @t280 () (@list @t263 @t268 @t97)) % 0.83/1.06 (define @t281 () (@var "V_m" $$unsorted)) % 0.83/1.06 (define @t282 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t241)) % 0.83/1.06 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t241)) % 0.83/1.06 (define @t284 () (@list @t241 @t281 @t87)) % 0.83/1.06 (define @t285 () (= @t268 @t263)) % 0.83/1.06 (define @t286 () (@list @t241 @t197)) % 0.83/1.06 (define @t287 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t281 @t241)) % 0.83/1.06 (define @t288 () (@list @t133 @t241 @t281)) % 0.83/1.06 (define @t289 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t281)) % 0.83/1.06 (define @t290 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t241)) % 0.83/1.06 (define @t291 () (@var "V_j" $$unsorted)) % 0.83/1.06 (define @t292 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t197 @t291) @t87)) % 0.83/1.06 (define @t293 () (@list @t87 @t291 @t197)) % 0.83/1.06 (define @t294 () (@list @t241 @t281)) % 0.83/1.06 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241 @t281)) % 0.83/1.06 (define @t296 () (= @t281 @t241)) % 0.83/1.06 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t291)) % 0.83/1.06 (define @t298 () (= @t282 @t185)) % 0.83/1.06 (define @t299 () (@list @t263 @t268)) % 0.83/1.06 (define @t300 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t281 @t241)) % 0.83/1.06 (define @t301 () (not @t296)) % 0.83/1.06 (define @t302 () (or @t269 @t285)) % 0.83/1.06 (define @t303 () (not @t285)) % 0.83/1.06 (define @t304 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t169)) % 0.83/1.06 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t45 @t55)) % 0.83/1.06 (define @t306 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t186 @t169)) % 0.83/1.06 (define @t307 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t151 @t55)) % 0.83/1.06 (define @t308 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t227)) % 0.83/1.06 (define @t309 () (tptp.class_Orderings_Olinorder @t31)) % 0.83/1.06 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t171)) % 0.83/1.06 (define @t311 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t32)) % 0.83/1.06 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t153 @t32)) % 0.83/1.06 (define @t313 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t153)) % 0.83/1.06 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t169)) % 0.83/1.06 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t169 @t32)) % 0.83/1.06 (define @t316 () (or (and @t310 @t315) (and @t311 @t314))) % 0.83/1.06 (define @t317 () (or (and @t310 @t314) (and @t311 @t315))) % 0.83/1.06 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t45)) % 0.83/1.06 (define @t319 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t151 @t150)) % 0.83/1.06 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t143 @t55)) % 0.83/1.06 (define @t321 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t75)) % 0.83/1.06 (define @t322 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t32)) % 0.83/1.06 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t75 @t32)) % 0.83/1.06 (define @t324 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t74 @t51)) % 0.83/1.06 (define @t325 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t38 @t200)) % 0.83/1.06 (define @t326 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t51 @t200)) % 0.83/1.06 (define @t327 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t51)) % 0.83/1.06 (define @t328 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t74)) % 0.83/1.06 (define @t329 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t38)) % 0.83/1.06 (define @t330 () (@list @t200 @t51 @t74 @t38 @t31)) % 0.83/1.06 (define @t331 () (tptp.c_Orderings_Oord__class_Oless @t31 @t325 @t324)) % 0.83/1.06 (define @t332 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t45 @t32)) % 0.83/1.06 (define @t333 () (@list @t281)) % 0.83/1.06 (define @t334 () (@var "V_P_2" $$unsorted)) % 0.83/1.06 (define @t335 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t334 @t263) @t268))) % 0.83/1.06 (define @t336 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t263 @t268)) % 0.83/1.06 (define @t337 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t291 @t87)) % 0.83/1.06 (define @t338 () (@var "V_t" $$unsorted)) % 0.83/1.06 (define @t339 () (@var "V_s" $$unsorted)) % 0.83/1.06 (define @t340 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t281)) % 0.83/1.06 (define @t341 () (@list @t281 @t241)) % 0.83/1.06 (define @t342 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t74)) % 0.83/1.06 (define @t343 () (@var "V_pa_2" $$unsorted)) % 0.83/1.06 (define @t344 () (= @t343 @t260)) % 0.83/1.06 (define @t345 () (tptp.c_Polynomial_Opoly @t31 @t343)) % 0.83/1.06 (define @t346 () (tptp.class_Rings_Oidom @t31)) % 0.83/1.06 (define @t347 () (and @t113 @t346)) % 0.83/1.06 (define @t348 () (@list @t343 @t31)) % 0.83/1.06 (define @t349 () (@var "V_q_2" $$unsorted)) % 0.83/1.06 (define @t350 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t241)) % 0.83/1.06 (define @t351 () (= @t241 @t185)) % 0.83/1.06 (define @t352 () (not @t351)) % 0.83/1.06 (define @t353 () (tptp.class_Orderings_Opreorder @t31)) % 0.83/1.06 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t74)) % 0.83/1.06 (define @t355 () (@var "V_e" $$unsorted)) % 0.83/1.06 (define @t356 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t253)) % 0.83/1.06 (define @t357 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t16 @t200))) % 0.83/1.06 (define @t358 () (@var "V_X_2" $$unsorted)) % 0.83/1.06 (define @t359 () (tptp.hAPP @t358 @t243)) % 0.83/1.06 (define @t360 () (tptp.class_Orderings_Oorder @t31)) % 0.83/1.06 (define @t361 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t74)) % 0.83/1.06 (define @t362 () (tptp.class_Lattices_Oboolean__algebra @t31)) % 0.83/1.06 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 tptp.v_r)) % 0.83/1.06 (define @t364 () (tptp.v_g____ @t243)) % 0.83/1.06 (define @t365 () (= @t200 @t51)) % 0.83/1.06 (define @t366 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t200)) % 0.83/1.06 (define @t367 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t200 @t51)) % 0.83/1.06 (define @t368 () (@list @t51 @t200)) % 0.83/1.06 (define @t369 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t197 @t291)) % 0.83/1.06 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t97 @t96)) % 0.83/1.06 (define @t371 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t91 @t90)) % 0.83/1.06 (define @t372 () (not @t109)) % 0.83/1.06 (define @t373 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t68 @t108)) % 0.83/1.06 (define @t374 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t68 @t108)) % 0.83/1.06 (define @t375 () (@list @t108 @t68)) % 0.83/1.06 (define @t376 () (@var "V_za_2" $$unsorted)) % 0.83/1.06 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t97)) % 0.83/1.06 (define @t378 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t68)) % 0.83/1.06 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t108)) % 0.83/1.06 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t68 @t11)) % 0.83/1.06 (define @t381 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 tptp.c_Int_OPls)) % 0.83/1.06 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t74 @t38)) % 0.83/1.06 (define @t383 () (@var "T_b" $$unsorted)) % 0.83/1.06 (define @t384 () (tptp.tc_fun @t31 @t383)) % 0.83/1.06 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t384 @t2 @t1)) % 0.83/1.06 (define @t386 () (tptp.class_Orderings_Oord @t383)) % 0.83/1.06 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t200 @t74)) % 0.83/1.06 (define @t388 () (@list @t200 @t38 @t74 @t31)) % 0.83/1.06 (define @t389 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t74 @t200)) % 0.83/1.06 (define @t390 () (@list @t200 @t74 @t38 @t31)) % 0.83/1.06 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t153 @t45)) % 0.83/1.06 (define @t392 () (= @t55 @t153)) % 0.83/1.06 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t55 @t45)) % 0.83/1.06 (define @t394 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t45 @t153)) % 0.83/1.06 (define @t395 () (tptp.class_Orderings_Oord @t31)) % 0.83/1.06 (define @t396 () (= @t45 @t55)) % 0.83/1.06 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t55 @t153)) % 0.83/1.06 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t68 @t108)) % 0.83/1.06 (define @t399 () (= @t398 @t109)) % 0.83/1.06 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t108 @t68)) % 0.83/1.06 (define @t401 () (@list @t68 @t108 @t31)) % 0.83/1.06 (define @t402 () (@list @t1 @t2 @t31 @t383)) % 0.83/1.06 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t31 @t108 @t68)) % 0.83/1.06 (define @t404 () (tptp.c_Orderings_Oord__class_Oless @t31 @t68 @t108)) % 0.83/1.06 (define @t405 () (not @t404)) % 0.83/1.06 (define @t406 () (= @t405 @t109)) % 0.83/1.06 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t31 @t45 @t153)) % 0.83/1.06 (define @t408 () (tptp.c_Orderings_Oord__class_Oless @t31 @t55 @t153)) % 0.83/1.06 (define @t409 () (tptp.c_Orderings_Oord__class_Oless @t31 @t153 @t45)) % 0.83/1.06 (define @t410 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t200)) % 0.83/1.06 (define @t411 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t74 @t200) @t410)) % 0.83/1.06 (define @t412 () (tptp.c_Orderings_Oord__class_Oless @t31 @t200 @t38)) % 0.83/1.06 (define @t413 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t200 @t74) @t412)) % 0.83/1.06 (define @t414 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t57 @t56)) % 0.83/1.06 (define @t415 () (@var "V_B_2" $$unsorted)) % 0.83/1.06 (define @t416 () (@var "V_A_2" $$unsorted)) % 0.83/1.06 (define @t417 () (tptp.hAPP @t416 @t68)) % 0.83/1.06 (define @t418 () (tptp.tc_fun @t383 @t31)) % 0.83/1.06 (define @t419 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t108)) % 0.83/1.06 (define @t420 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t68)) % 0.83/1.06 (define @t421 () (not @t396)) % 0.83/1.06 (define @t422 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t13)) % 0.83/1.06 (define @t423 () (tptp.c_Int_OBit1 @t12)) % 0.83/1.06 (define @t424 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t200)) % 0.83/1.06 (define @t425 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (define @t426 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t425))) % 0.83/1.06 (define @t427 () (@var "B_y" $$unsorted)) % 0.83/1.06 (define @t428 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t3)) % 0.83/1.06 (define @t429 () (@var "B_z" $$unsorted)) % 0.83/1.06 (define @t430 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t429))) % 0.83/1.06 (define @t431 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t429)) % 0.83/1.06 (define @t432 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t431 tptp.v_r)) % 0.83/1.06 (define @t433 () (and @t432 (= @t430 @t428))) % 0.83/1.06 (define @t434 () (@list @t429)) % 0.83/1.06 (define @t435 () (exists @t6 (and (exists @t434 @t433) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t427 @t3)))) % 0.83/1.06 (define @t436 () (@list @t427)) % 0.83/1.06 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t200)) % 0.83/1.06 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t200 @t51)) % 0.83/1.06 (define @t439 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t108)) % 0.83/1.06 (define @t440 () (@list @t108)) % 0.83/1.06 (define @t441 () (@var "B_za" $$unsorted)) % 0.83/1.06 (define @t442 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.83/1.06 (define @t443 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t68 @t442)) % 0.83/1.06 (define @t444 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t68)) % 0.83/1.06 (define @t445 () (@var "V_z_2" $$unsorted)) % 0.83/1.06 (define @t446 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t38)) % 0.83/1.06 (define @t447 () (@list @t38)) % 0.83/1.06 (define @t448 () (@var "B_s" $$unsorted)) % 0.83/1.06 (define @t449 () (tptp.c_Nat__Transfer_Otsub @t38 @t74)) % 0.83/1.06 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t74 @t38)) % 0.83/1.06 (define @t451 () (=> @t450 (= @t449 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t74)))) % 0.83/1.06 (define @t452 () (@list @t38 @t74)) % 0.83/1.06 (define @t453 () (tptp.c_Groups_Oone__class_Oone @t31)) % 0.83/1.06 (define @t454 () (= @t68 @t453)) % 0.83/1.06 (define @t455 () (tptp.class_Rings_Ocomm__semiring__1 @t31)) % 0.83/1.06 (define @t456 () (tptp.class_Rings_Ozero__neq__one @t31)) % 0.83/1.06 (define @t457 () (tptp.class_Rings_Olinordered__semidom @t31)) % 0.83/1.06 (define @t458 () (= @t169 @t32)) % 0.83/1.06 (define @t459 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t45)) % 0.83/1.06 (define @t460 () (= @t45 @t32)) % 0.83/1.06 (define @t461 () (not @t460)) % 0.83/1.06 (define @t462 () (=> @t461 (= @t459 @t453))) % 0.83/1.06 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t74)) % 0.83/1.06 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t38)) % 0.83/1.06 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t74)) % 0.83/1.06 (define @t466 () (tptp.c_Power_Opower__class_Opower @t31 @t74 @t184)) % 0.83/1.06 (define @t467 () (tptp.c_Power_Opower__class_Opower @t31 @t38 @t184)) % 0.83/1.06 (define @t468 () (tptp.c_Nat_OSuc @t243)) % 0.83/1.06 (define @t469 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t442 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t468)))) % 0.83/1.06 (define @t470 () (@list @t245)) % 0.83/1.06 (define @t471 () (@var "V_u" $$unsorted)) % 0.83/1.06 (define @t472 () (tptp.c_NthRoot_Osqrt @t14)) % 0.83/1.06 (define @t473 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t471 @t472)) % 0.83/1.06 (define @t474 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t471)) % 0.83/1.06 (define @t475 () (tptp.c_Nat_OSuc @t241)) % 0.83/1.06 (define @t476 () (tptp.c_Nat_OSuc @t281)) % 0.83/1.06 (define @t477 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t476 @t475)) % 0.83/1.06 (define @t478 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t241)) % 0.83/1.06 (define @t479 () (tptp.c_NthRoot_Osqrt @t68)) % 0.83/1.06 (define @t480 () (@list @t68)) % 0.83/1.06 (define @t481 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t478 @t442)) % 0.83/1.06 (define @t482 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t475)) % 0.83/1.06 (define @t483 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.83/1.06 (define @t484 () (tptp.c_Nat_OSuc @t185)) % 0.83/1.06 (define @t485 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t483)) % 0.83/1.06 (define @t486 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t149 @t241)) % 0.83/1.06 (define @t487 () (tptp.c_Power_Opower__class_Opower @t31 @t38 @t241)) % 0.83/1.06 (define @t488 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t487)) % 0.83/1.06 (define @t489 () (@list @t241 @t38 @t31)) % 0.83/1.06 (define @t490 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t74)) % 0.83/1.06 (define @t491 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t38 @t74)) % 0.83/1.06 (define @t492 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t491)) % 0.83/1.06 (define @t493 () (tptp.c_NthRoot_Osqrt @t74)) % 0.83/1.06 (define @t494 () (tptp.c_NthRoot_Osqrt @t38)) % 0.83/1.06 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t74)) % 0.83/1.06 (define @t496 () (tptp.c_NthRoot_Osqrt @t108)) % 0.83/1.06 (define @t497 () (tptp.c_Nat_OSuc @t484)) % 0.83/1.06 (define @t498 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t51)) % 0.83/1.06 (define @t499 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t498)) % 0.83/1.06 (define @t500 () (= @t68 @t11)) % 0.83/1.06 (define @t501 () (@var "V_nat_H_2" $$unsorted)) % 0.83/1.06 (define @t502 () (@var "V_nat_2" $$unsorted)) % 0.83/1.06 (define @t503 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t281)) % 0.83/1.06 (define @t504 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t503 @t241)) % 0.83/1.06 (define @t505 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t281 @t241))) % 0.83/1.06 (define @t506 () (= @t263 @t268)) % 0.83/1.06 (define @t507 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t268)) % 0.83/1.06 (define @t508 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t263)) % 0.83/1.06 (define @t509 () (tptp.class_RealVector_Oreal__normed__div__algebra @t31)) % 0.83/1.06 (define @t510 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t120 @t52)) % 0.83/1.06 (define @t511 () (@list @t200 @t51 @t119 @t31)) % 0.83/1.06 (define @t512 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t55 @t153)) % 0.83/1.06 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t55)) % 0.83/1.06 (define @t514 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t513 @t153)) % 0.83/1.06 (define @t515 () (= @t514 (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t512))) % 0.83/1.06 (define @t516 () (= @t169 @t218)) % 0.83/1.06 (define @t517 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t218)) % 0.83/1.06 (define @t518 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t169)) % 0.83/1.06 (define @t519 () (tptp.class_Groups_Ocancel__semigroup__add @t31)) % 0.83/1.06 (define @t520 () (@list @t218 @t169 @t171 @t31)) % 0.83/1.06 (define @t521 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t218 @t171)) % 0.83/1.06 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t169 @t171)) % 0.83/1.06 (define @t523 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t153)) % 0.83/1.06 (define @t524 () (=> (= @t513 @t523) @t392)) % 0.83/1.06 (define @t525 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t153 @t45)) % 0.83/1.06 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t153 @t55)) % 0.83/1.06 (define @t527 () (tptp.c_Orderings_Oord__class_Oless @t31 @t525 @t526)) % 0.83/1.06 (define @t528 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t31)) % 0.83/1.06 (define @t529 () (@list @t55 @t45 @t153 @t31)) % 0.83/1.06 (define @t530 () (tptp.c_Orderings_Oord__class_Oless @t31 @t523 @t512)) % 0.83/1.06 (define @t531 () (@list @t55 @t153 @t45 @t31)) % 0.83/1.06 (define @t532 () (@var "V_d" $$unsorted)) % 0.83/1.06 (define @t533 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t55 @t532)) % 0.83/1.06 (define @t534 () (tptp.c_Orderings_Oord__class_Oless @t31 @t523 @t533)) % 0.83/1.06 (define @t535 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t153 @t532) @t534)) % 0.83/1.06 (define @t536 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t31)) % 0.83/1.06 (define @t537 () (@list @t532 @t153 @t55 @t45 @t31)) % 0.83/1.06 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t218 @t169)) % 0.83/1.06 (define @t539 () (@list @t169 @t171 @t218 @t31)) % 0.83/1.06 (define @t540 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t169 @t218)) % 0.83/1.06 (define @t541 () (@list @t169 @t218 @t171 @t31)) % 0.83/1.06 (define @t542 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t38)) % 0.83/1.06 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t525 @t526)) % 0.83/1.06 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t523 @t512)) % 0.83/1.06 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t153 @t532)) % 0.83/1.06 (define @t546 () (tptp.class_Groups_Oordered__ab__semigroup__add @t31)) % 0.83/1.06 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t171)) % 0.83/1.06 (define @t548 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t32) @t45)) % 0.83/1.06 (define @t549 () (tptp.class_Groups_Ocomm__monoid__add @t31)) % 0.83/1.06 (define @t550 () (tptp.class_Groups_Omonoid__add @t31)) % 0.83/1.06 (define @t551 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t32 @t45) @t45)) % 0.83/1.06 (define @t552 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t74)) % 0.83/1.06 (define @t553 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t490 @t339)) % 0.83/1.06 (define @t554 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t149 @t37)) % 0.83/1.06 (define @t555 () (@list @t339 @t74 @t37 @t38 @t31)) % 0.83/1.06 (define @t556 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t513)) % 0.83/1.06 (define @t557 () (@var "V_nat_H" $$unsorted)) % 0.83/1.06 (define @t558 () (@var "V_nat_H_1" $$unsorted)) % 0.83/1.06 (define @t559 () (@list @t200 @t74 @t38)) % 0.83/1.06 (define @t560 () (tptp.c_Nat_OSuc @t268)) % 0.83/1.06 (define @t561 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t263 @t560)) % 0.83/1.06 (define @t562 () (tptp.c_Nat_OSuc @t263)) % 0.83/1.06 (define @t563 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t268 @t562)) % 0.83/1.06 (define @t564 () (= @t561 @t506)) % 0.83/1.06 (define @t565 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t281 @t475)) % 0.83/1.06 (define @t566 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t476 @t241)) % 0.83/1.06 (define @t567 () (tptp.c_Nat_OSuc @t197)) % 0.83/1.06 (define @t568 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t291)) % 0.83/1.06 (define @t569 () (not @t300)) % 0.83/1.06 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t151 @t150)) % 0.83/1.06 (define @t571 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t38)) % 0.83/1.06 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t476 @t241)) % 0.83/1.06 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t281 @t475)) % 0.83/1.06 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t263 @t268)) % 0.83/1.06 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t562 @t268)) % 0.83/1.06 (define @t576 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t476 @t241)) % 0.83/1.06 (define @t577 () (@list @t87 @t241 @t281)) % 0.83/1.06 (define @t578 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.83/1.06 (define @t579 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t55 @t532)) % 0.83/1.06 (define @t580 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t153)) % 0.83/1.06 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t153 @t532)) % 0.83/1.06 (define @t582 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t513 @t581)) % 0.83/1.06 (define @t583 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t125)) % 0.83/1.06 (define @t584 () (tptp.c_Int_Onumber__class_Onumber__of @t31 @t583)) % 0.83/1.06 (define @t585 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t483))) % 0.83/1.06 (define @t586 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t74 @t184)) % 0.83/1.06 (define @t587 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t38 @t184)) % 0.83/1.06 (define @t588 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t587 @t586)) % 0.83/1.06 (define @t589 () (tptp.c_NthRoot_Osqrt @t588)) % 0.83/1.06 (define @t590 () (= @t38 @t11)) % 0.83/1.06 (define @t591 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t38)) % 0.83/1.06 (define @t592 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t74)) % 0.83/1.06 (define @t593 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t250))) % 0.83/1.06 (define @t594 () (tptp.c_RealVector_Onorm__class_Onorm @t383 @t359)) % 0.83/1.06 (define @t595 () (@var "B_K" $$unsorted)) % 0.83/1.06 (define @t596 () (exists (@list @t595) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t595) (forall @t251 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t594 @t595))))) % 0.83/1.06 (define @t597 () (tptp.class_RealVector_Oreal__normed__vector @t383)) % 0.83/1.06 (define @t598 () (@list @t358 @t383)) % 0.83/1.06 (define @t599 () (@list @t119 @t31)) % 0.83/1.06 (define @t600 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t453 @t52)) % 0.83/1.06 (define @t601 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t38)) % 0.83/1.06 (define @t602 () (= @t494 @t11)) % 0.83/1.06 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t38)) % 0.83/1.06 (define @t604 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t119)) % 0.83/1.06 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t55 @t32)) % 0.83/1.06 (define @t606 () (tptp.class_Groups_Oordered__comm__monoid__add @t31)) % 0.83/1.06 (define @t607 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t55 @t523)) % 0.83/1.06 (define @t608 () (@list @t45 @t55 @t153 @t31)) % 0.83/1.06 (define @t609 () (= @t108 @t32)) % 0.83/1.06 (define @t610 () (and @t69 @t609)) % 0.83/1.06 (define @t611 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t68 @t108) @t32)) % 0.83/1.06 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t55)) % 0.83/1.06 (define @t613 () (= (tptp.c_Orderings_Oord__class_Oless @t31 @t547 @t32) @t172)) % 0.83/1.06 (define @t614 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t513)) % 0.83/1.06 (define @t615 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t55)) % 0.83/1.06 (define @t616 () (=> @t615 @t614)) % 0.83/1.06 (define @t617 () (tptp.c_Orderings_Oord__class_Oless @t31 @t55 @t523)) % 0.83/1.06 (define @t618 () (=> @t408 @t617)) % 0.83/1.06 (define @t619 () (tptp.c_Orderings_Oord__class_Oless @t31 @t513 @t32)) % 0.83/1.06 (define @t620 () (tptp.c_Orderings_Oord__class_Oless @t31 @t55 @t32)) % 0.83/1.06 (define @t621 () (=> @t620 @t619)) % 0.83/1.06 (define @t622 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t143 @t45) @t32)) % 0.83/1.06 (define @t623 () (= @t139 (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t142))) % 0.83/1.06 (define @t624 () (@list @t241 @t38)) % 0.83/1.06 (define @t625 () (@var "B_j" $$unsorted)) % 0.83/1.06 (define @t626 () (= @t268 @t185)) % 0.83/1.06 (define @t627 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t68 @t108)) % 0.83/1.06 (define @t628 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t74))) % 0.83/1.06 (define @t629 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Power_Opower__class_Opower @t31 @t68 @t184) (tptp.c_Power_Opower__class_Opower @t31 @t108 @t184))) % 0.83/1.06 (define @t630 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t14 @t241)) % 0.83/1.06 (define @t631 () (and @t500 (= @t108 @t11))) % 0.83/1.06 (define @t632 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t589 @t471)) % 0.83/1.06 (define @t633 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t494 @t184)) % 0.83/1.06 (define @t634 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t74)) % 0.83/1.06 (define @t635 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t471 @t14)) % 0.83/1.06 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t467 @t466)) % 0.83/1.06 (define @t637 () (not @t609)) % 0.83/1.06 (define @t638 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t453 @t453)) % 0.83/1.06 (define @t639 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t513 @t638)) % 0.83/1.06 (define @t640 () (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Int_OBit1 @t51))) % 0.83/1.06 (define @t641 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t12)) % 0.83/1.06 (define @t642 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t281)) % 0.83/1.06 (define @t643 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t133)) % 0.83/1.06 (define @t644 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t74)) % 0.83/1.06 (define @t645 () (@list @t376)) % 0.83/1.06 (define @t646 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t82 @t376)) % 0.83/1.06 (define @t647 () (@list @t376 @t82)) % 0.83/1.06 (define @t648 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t423)) % 0.83/1.06 (define @t649 () (@list @t263 @t68)) % 0.83/1.06 (define @t650 () (tptp.class_Rings_Osemiring__1 @t31)) % 0.83/1.06 (define @t651 () (tptp.c_Power_Opower__class_Opower @t31 @t171 @t184)) % 0.83/1.06 (define @t652 () (tptp.class_Rings_Oring__1__no__zero__divisors @t31)) % 0.83/1.06 (define @t653 () (tptp.c_Power_Opower__class_Opower @t31 @t45 @t184)) % 0.83/1.06 (define @t654 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t453)) % 0.83/1.06 (define @t655 () (@list @t38 @t471)) % 0.83/1.06 (define @t656 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t644 @t14)) % 0.83/1.06 (define @t657 () (@var "B_f" $$unsorted)) % 0.83/1.06 (define @t658 () (tptp.hAPP @t657 @t3)) % 0.83/1.06 (define @t659 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t55 @t45) @t14)) % 0.83/1.06 (define @t660 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t82 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t376 @t578))) % 0.83/1.06 (define @t661 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t483)) % 0.83/1.06 (define @t662 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t578 @t200)) % 0.83/1.06 (define @t663 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t241)) % 0.83/1.06 (define @t664 () (tptp.c_Nat_OSuc @t663)) % 0.83/1.06 (define @t665 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t475)) % 0.83/1.06 (define @t666 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t476 @t241)) % 0.83/1.06 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 @t200)) % 0.83/1.06 (define @t668 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t200 @t51)) % 0.83/1.06 (define @t669 () (@var "V_z3" $$unsorted)) % 0.83/1.06 (define @t670 () (@var "V_z2" $$unsorted)) % 0.83/1.06 (define @t671 () (@var "V_z1" $$unsorted)) % 0.83/1.06 (define @t672 () (@list @t669 @t670 @t671)) % 0.83/1.06 (define @t673 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t263)) % 0.83/1.06 (define @t674 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 @t133)) % 0.83/1.06 (define @t675 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t74 @t200)) % 0.83/1.06 (define @t676 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t675)) % 0.83/1.06 (define @t677 () (@list @t74 @t200 @t38)) % 0.83/1.06 (define @t678 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t291)) % 0.83/1.06 (define @t679 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t291 @t197)) % 0.83/1.06 (define @t680 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t263)) % 0.83/1.06 (define @t681 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t268)) % 0.83/1.06 (define @t682 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t291 @t281)) % 0.83/1.06 (define @t683 () (@list @t281 @t291 @t197)) % 0.83/1.06 (define @t684 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t291)) % 0.83/1.06 (define @t685 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t291 @t87)) % 0.83/1.06 (define @t686 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t87)) % 0.83/1.06 (define @t687 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t291 @t133)) % 0.83/1.06 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t133)) % 0.83/1.06 (define @t689 () (@list @t133 @t87 @t291 @t197)) % 0.83/1.06 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t87 @t241)) % 0.83/1.06 (define @t691 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t675)) % 0.83/1.06 (define @t692 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t87)) % 0.83/1.06 (define @t693 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t692 @t241)) % 0.83/1.06 (define @t694 () (@list @t241 @t87 @t281)) % 0.83/1.06 (define @t695 () (@var "B_k" $$unsorted)) % 0.83/1.06 (define @t696 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t695)) % 0.83/1.06 (define @t697 () (@list @t695)) % 0.83/1.06 (define @t698 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t281)) % 0.83/1.06 (define @t699 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t119)) % 0.83/1.06 (define @t700 () (@list @t51 @t119)) % 0.83/1.06 (define @t701 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t87)) % 0.83/1.06 (define @t702 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t87 @t281)) % 0.83/1.06 (define @t703 () (@var "V_v_H" $$unsorted)) % 0.83/1.06 (define @t704 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t703)) % 0.83/1.06 (define @t705 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t604 @t704)) % 0.83/1.06 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t703 tptp.c_Int_OPls)) % 0.83/1.06 (define @t707 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 tptp.c_Int_OPls)) % 0.83/1.06 (define @t708 () (tptp.c_Int_OBit1 @t674)) % 0.83/1.06 (define @t709 () (or (and (= @t268 @t484) @t265) (and @t626 (= @t263 @t484)))) % 0.83/1.06 (define @t710 () (@list @t281 @t197)) % 0.83/1.06 (define @t711 () (@var "V_z_H" $$unsorted)) % 0.83/1.06 (define @t712 () (@var "V_w_H" $$unsorted)) % 0.83/1.06 (define @t713 () (@list @t200 @t51)) % 0.83/1.06 (define @t714 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t282) @t281)) % 0.83/1.06 (define @t715 () (@var "V_j_2" $$unsorted)) % 0.83/1.06 (define @t716 () (@var "V_i_2" $$unsorted)) % 0.83/1.06 (define @t717 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t716 @t97)) % 0.83/1.06 (define @t718 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t715 @t97)) % 0.83/1.06 (define @t719 () (@list @t97 @t715 @t716)) % 0.83/1.06 (define @t720 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t291 @t87)) % 0.83/1.06 (define @t721 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t720 @t197)) % 0.83/1.06 (define @t722 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t679 @t87)) % 0.83/1.06 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t291)) % 0.83/1.06 (define @t724 () (@list @t197 @t291 @t87)) % 0.83/1.06 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t720)) % 0.83/1.06 (define @t726 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t678 @t87)) % 0.83/1.06 (define @t727 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t200 @t51)) % 0.83/1.06 (define @t728 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t200 @t125)) % 0.83/1.06 (define @t729 () (= @t281 @t185)) % 0.83/1.06 (define @t730 () (tptp.hBOOL (tptp.hAPP @t334 @t19))) % 0.83/1.06 (define @t731 () (= @t171 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t169 @t19))) % 0.83/1.06 (define @t732 () (tptp.hBOOL (tptp.hAPP @t334 @t185))) % 0.83/1.06 (define @t733 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t169)) % 0.83/1.06 (define @t734 () (tptp.hBOOL (tptp.hAPP @t334 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t171 @t169)))) % 0.83/1.06 (define @t735 () (@list @t169 @t171 @t334)) % 0.83/1.06 (define @t736 () (tptp.c_Nat_OSuc @t291)) % 0.83/1.06 (define @t737 () (tptp.c_Nat_OSuc @t720)) % 0.83/1.06 (define @t738 () (@list @t281 @t291 @t87)) % 0.83/1.06 (define @t739 () (@list @t45 @t55)) % 0.83/1.06 (define @t740 () (tptp.c_Nat_OSuc @t475)) % 0.83/1.06 (define @t741 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t12)) % 0.83/1.06 (define @t742 () (@list @t532 @t55 @t153 @t45 @t31)) % 0.83/1.06 (define @t743 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 @t14)) % 0.83/1.06 (define @t744 () (tptp.c_Power_Opower__class_Opower @t31 @t55 @t241)) % 0.83/1.06 (define @t745 () (tptp.c_Power_Opower__class_Opower @t31 @t45 @t241)) % 0.83/1.06 (define @t746 () (tptp.c_Orderings_Oord__class_Oless @t31 @t745 @t744)) % 0.83/1.06 (define @t747 () (@list @t241 @t55 @t45 @t31)) % 0.83/1.06 (define @t748 () (@list @t241 @t45 @t31)) % 0.83/1.06 (define @t749 () (tptp.class_Groups_Omonoid__mult @t31)) % 0.83/1.06 (define @t750 () (@list @t241 @t31)) % 0.83/1.06 (define @t751 () (= (tptp.c_Power_Opower__class_Opower @t31 @t58 @t241) (tptp.c_Rings_Oinverse__class_Odivide @t31 @t745 @t744))) % 0.83/1.06 (define @t752 () (tptp.c_Power_Opower__class_Opower @t31 @t151 @t241)) % 0.83/1.06 (define @t753 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t745)) % 0.83/1.06 (define @t754 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t45)) % 0.83/1.06 (define @t755 () (tptp.c_Power_Opower__class_Opower @t31 @t171 @t263)) % 0.83/1.06 (define @t756 () (tptp.class_Rings_Ono__zero__divisors @t31)) % 0.83/1.06 (define @t757 () (tptp.class_Rings_Omult__zero @t31)) % 0.83/1.06 (define @t758 () (tptp.class_Power_Opower @t31)) % 0.83/1.06 (define @t759 () (and @t758 @t757 @t756 @t456)) % 0.83/1.06 (define @t760 () (and @t758 (tptp.class_Rings_Osemiring__0 @t31))) % 0.83/1.06 (define @t761 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t68)) % 0.83/1.06 (define @t762 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t68 @t263))) % 0.83/1.06 (define @t763 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t197 @t241)) % 0.83/1.06 (define @t764 () (@list @t55 @t241 @t45 @t31)) % 0.83/1.06 (define @t765 () (tptp.c_Power_Opower__class_Opower @t31 @t55 @t475)) % 0.83/1.06 (define @t766 () (tptp.c_Power_Opower__class_Opower @t31 @t45 @t475)) % 0.83/1.06 (define @t767 () (tptp.c_Power_Opower__class_Opower @t31 @t32 @t241)) % 0.83/1.06 (define @t768 () (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t45)) % 0.83/1.06 (define @t769 () (tptp.c_Power_Opower__class_Opower @t31 @t169 @t108)) % 0.83/1.06 (define @t770 () (tptp.c_Power_Opower__class_Opower @t31 @t169 @t68)) % 0.83/1.06 (define @t771 () (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t169)) % 0.83/1.06 (define @t772 () (@list @t108 @t68 @t169 @t31)) % 0.83/1.06 (define @t773 () (tptp.c_Power_Opower__class_Opower @t31 @t45 @t281)) % 0.83/1.06 (define @t774 () (@list @t241 @t281 @t45 @t31)) % 0.83/1.06 (define @t775 () (@var "V_N" $$unsorted)) % 0.83/1.06 (define @t776 () (tptp.c_Power_Opower__class_Opower @t31 @t45 @t775)) % 0.83/1.06 (define @t777 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t775)) % 0.83/1.06 (define @t778 () (@list @t45 @t775 @t241 @t31)) % 0.83/1.06 (define @t779 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241 @t775)) % 0.83/1.06 (define @t780 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t82)) % 0.83/1.06 (define @t781 () (= @t780 @t185)) % 0.83/1.06 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t31 @t45 @t453)) % 0.83/1.06 (define @t783 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t51)) % 0.83/1.06 (define @t784 () (tptp.c_Power_Opower__class_Opower @t31 @t32 @t783)) % 0.83/1.06 (define @t785 () (= @t783 @t185)) % 0.83/1.06 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t581)) % 0.83/1.06 (define @t787 () (@list @t532 @t153 @t45 @t31)) % 0.83/1.06 (define @t788 () (tptp.class_Rings_Ocomm__ring__1 @t31)) % 0.83/1.06 (define @t789 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t108)) % 0.83/1.06 (define @t790 () (= @t376 @t32)) % 0.83/1.06 (define @t791 () (@var "V_xa" $$unsorted)) % 0.83/1.06 (define @t792 () (@var "V_b_H" $$unsorted)) % 0.83/1.06 (define @t793 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t792)) % 0.83/1.06 (define @t794 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t55)) % 0.83/1.06 (define @t795 () (tptp.class_RealVector_Oreal__normed__algebra @t31)) % 0.83/1.06 (define @t796 () (@list @t792 @t55 @t45 @t31)) % 0.83/1.06 (define @t797 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t791 @t74)) % 0.83/1.06 (define @t798 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t791 @t38)) % 0.83/1.06 (define @t799 () (@list @t74 @t38 @t791 @t31)) % 0.83/1.06 (define @t800 () (@var "V_a_H" $$unsorted)) % 0.83/1.06 (define @t801 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t800 @t55)) % 0.83/1.06 (define @t802 () (@list @t55 @t800 @t45 @t31)) % 0.83/1.06 (define @t803 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t74 @t127)) % 0.83/1.06 (define @t804 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t127)) % 0.83/1.06 (define @t805 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t55 @t153)) % 0.83/1.06 (define @t806 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t153)) % 0.83/1.06 (define @t807 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t68 @t68)) % 0.83/1.06 (define @t808 () (tptp.class_Rings_Olinordered__ring__strict @t31)) % 0.83/1.06 (define @t809 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t74)) % 0.83/1.06 (define @t810 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t794)) % 0.83/1.06 (define @t811 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t143 @t55)) % 0.83/1.06 (define @t812 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t142)) % 0.83/1.06 (define @t813 () (tptp.class_Rings_Oring @t31)) % 0.83/1.06 (define @t814 () (tptp.c_Int_Onumber__class_Onumber__of @t383 @t119)) % 0.83/1.06 (define @t815 () (tptp.c_Groups_Otimes__class_Otimes @t383 @t814 @t153)) % 0.83/1.06 (define @t816 () (tptp.c_Groups_Otimes__class_Otimes @t383 @t814 @t55)) % 0.83/1.06 (define @t817 () (tptp.class_Int_Onumber @t383)) % 0.83/1.06 (define @t818 () (and @t817 (tptp.class_Rings_Osemiring @t383))) % 0.83/1.06 (define @t819 () (@list @t153 @t55 @t119 @t383)) % 0.83/1.06 (define @t820 () (tptp.c_Groups_Otimes__class_Otimes @t383 @t55 @t814)) % 0.83/1.06 (define @t821 () (tptp.c_Groups_Otimes__class_Otimes @t383 @t45 @t814)) % 0.83/1.06 (define @t822 () (@list @t119 @t55 @t45 @t383)) % 0.83/1.06 (define @t823 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t38 @t45)) % 0.83/1.06 (define @t824 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t823 @t55)) % 0.83/1.06 (define @t825 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t74 @t55)) % 0.83/1.06 (define @t826 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t809 @t794)) % 0.83/1.06 (define @t827 () (@list @t55 @t45 @t74 @t38 @t31)) % 0.83/1.06 (define @t828 () (@var "V_e_2" $$unsorted)) % 0.83/1.06 (define @t829 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t171 @t828) @t218) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t169 @t828) @t217))) % 0.83/1.06 (define @t830 () (@list @t217 @t169 @t218 @t828 @t171 @t31)) % 0.83/1.06 (define @t831 () (and @t817 (tptp.class_Rings_Oring @t383))) % 0.83/1.06 (define @t832 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t171 @t218)) % 0.83/1.06 (define @t833 () (= @t832 @t169)) % 0.83/1.06 (define @t834 () (tptp.c_Rings_Oinverse__class_Odivide @t31 @t169 @t218)) % 0.83/1.06 (define @t835 () (= @t171 @t834)) % 0.83/1.06 (define @t836 () (= @t218 @t32)) % 0.83/1.06 (define @t837 () (not @t836)) % 0.83/1.06 (define @t838 () (= @t169 @t832)) % 0.83/1.06 (define @t839 () (= @t834 @t171)) % 0.83/1.06 (define @t840 () (not (= @t153 @t32))) % 0.83/1.06 (define @t841 () (=> @t836 @t192)) % 0.83/1.06 (define @t842 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t153 @t55)) % 0.83/1.06 (define @t843 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t153 @t45)) % 0.83/1.06 (define @t844 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t151 @t150)) % 0.83/1.06 (define @t845 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t68 @t68)) % 0.83/1.06 (define @t846 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t38 @t74)) % 0.83/1.06 (define @t847 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t38 @t38)) % 0.83/1.06 (define @t848 () (tptp.hAPP @t2 @t171)) % 0.83/1.06 (define @t849 () (tptp.hAPP @t2 @t169)) % 0.83/1.06 (define @t850 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t849 @t848) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t169 @t171))) % 0.83/1.06 (define @t851 () (not (= @t218 @t11))) % 0.83/1.06 (define @t852 () (@list @t169 @t171 @t218)) % 0.83/1.06 (define @t853 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t45)) % 0.83/1.06 (define @t854 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t809)) % 0.83/1.06 (define @t855 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t31)) % 0.83/1.06 (define @t856 () (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t119 @t51))) % 0.83/1.06 (define @t857 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t120 @t52)) % 0.83/1.06 (define @t858 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t149 @t490)) % 0.83/1.06 (define @t859 () (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t32 @t45) @t32)) % 0.83/1.06 (define @t860 () (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t32) @t32)) % 0.83/1.06 (define @t861 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t171 @t169)) % 0.83/1.06 (define @t862 () (= @t794 @t32)) % 0.83/1.06 (define @t863 () (tptp.class_Rings_Olinordered__ring @t31)) % 0.83/1.06 (define @t864 () (tptp.c_Orderings_Oord__class_Oless @t31 @t169 @t171)) % 0.83/1.06 (define @t865 () (tptp.c_Orderings_Oord__class_Oless @t31 @t218 @t32)) % 0.83/1.06 (define @t866 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t218)) % 0.83/1.06 (define @t867 () (or (and @t866 @t188) (and @t865 @t864))) % 0.83/1.06 (define @t868 () (tptp.c_Orderings_Oord__class_Oless @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t218 @t171) (tptp.c_Groups_Otimes__class_Otimes @t31 @t218 @t169))) % 0.83/1.06 (define @t869 () (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t794)) % 0.83/1.06 (define @t870 () (tptp.class_Rings_Olinordered__semiring__strict @t31)) % 0.83/1.06 (define @t871 () (tptp.c_Orderings_Oord__class_Oless @t31 @t794 @t32)) % 0.83/1.06 (define @t872 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t55 @t45)) % 0.83/1.06 (define @t873 () (=> @t191 @t615)) % 0.83/1.06 (define @t874 () (tptp.c_Orderings_Oord__class_Oless @t31 @t806 @t805)) % 0.83/1.06 (define @t875 () (tptp.c_Orderings_Oord__class_Oless @t31 @t843 @t842)) % 0.83/1.06 (define @t876 () (=> @t162 (=> @t161 @t875))) % 0.83/1.06 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t794 @t32)) % 0.83/1.06 (define @t878 () (tptp.class_Rings_Oordered__cancel__semiring @t31)) % 0.83/1.06 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t794)) % 0.83/1.06 (define @t880 () (tptp.class_Rings_Oordered__ring @t31)) % 0.83/1.06 (define @t881 () (=> @t313 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t806 (tptp.c_Groups_Otimes__class_Otimes @t31 @t55 @t532)))) % 0.83/1.06 (define @t882 () (tptp.class_Rings_Oordered__semiring @t31)) % 0.83/1.06 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t843 @t842)) % 0.83/1.06 (define @t884 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t806 @t805)) % 0.83/1.06 (define @t885 () (=> @t305 (=> @t313 @t883))) % 0.83/1.06 (define @t886 () (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t453) @t45)) % 0.83/1.06 (define @t887 () (tptp.class_Groups_Ocomm__monoid__mult @t31)) % 0.83/1.06 (define @t888 () (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t453 @t45) @t45)) % 0.83/1.06 (define @t889 () (tptp.c_Power_Opower__class_Opower @t31 @t38 @t257)) % 0.83/1.06 (define @t890 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t889)) % 0.83/1.06 (define @t891 () (tptp.c_Power_Opower__class_Opower @t31 @t38 (tptp.c_Nat_OSuc @t257))) % 0.83/1.06 (define @t892 () (@list @t257 @t38 @t31)) % 0.83/1.06 (define @t893 () (@var "V_ry" $$unsorted)) % 0.83/1.06 (define @t894 () (@var "V_ly" $$unsorted)) % 0.83/1.06 (define @t895 () (@var "V_rx" $$unsorted)) % 0.83/1.06 (define @t896 () (@var "V_lx" $$unsorted)) % 0.83/1.06 (define @t897 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 @t895)) % 0.83/1.06 (define @t898 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t895 @t893)) % 0.83/1.06 (define @t899 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 @t894)) % 0.83/1.06 (define @t900 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t899 @t898)) % 0.83/1.06 (define @t901 () (@list @t893 @t895 @t894 @t896 @t31)) % 0.83/1.06 (define @t902 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t899 @t895)) % 0.83/1.06 (define @t903 () (@list @t895 @t894 @t896 @t31)) % 0.83/1.06 (define @t904 () (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 @t898)) % 0.83/1.06 (define @t905 () (@list @t893 @t895 @t896 @t31)) % 0.83/1.06 (define @t906 () (@var "T_1" $$unsorted)) % 0.83/1.06 (define @t907 () (tptp.tc_Polynomial_Opoly @t906)) % 0.83/1.06 (define @t908 () (tptp.class_Groups_Ocancel__comm__monoid__add @t906)) % 0.83/1.06 (define @t909 () (@list @t906)) % 0.83/1.06 (define @t910 () (@var "T_2" $$unsorted)) % 0.83/1.06 (define @t911 () (tptp.tc_fun @t910 @t906)) % 0.83/1.06 (define @t912 () (@list @t910 @t906)) % 0.83/1.06 (define @t913 () (tptp.class_Rings_Oidom @t906)) % 0.83/1.06 (define @t914 () (tptp.class_Rings_Olinordered__idom @t906)) % 0.83/1.06 (define @t915 () (tptp.class_Rings_Ocomm__semiring__0 @t906)) % 0.83/1.06 (define @t916 () (tptp.class_Rings_Ocomm__semiring__1 @t906)) % 0.83/1.06 (define @t917 () (tptp.class_Groups_Ocomm__monoid__add @t906)) % 0.83/1.06 (define @t918 () (tptp.class_Groups_Oab__group__add @t906)) % 0.83/1.06 (define @t919 () (tptp.class_Rings_Ocomm__ring__1 @t906)) % 0.83/1.06 (define @t920 () (tptp.class_Rings_Ocomm__ring @t906)) % 0.83/1.06 (define @t921 () (=> @t25 tptp.v_thesis____)) % 0.83/1.06 (define @t922 () (=> @t26 @t921)) % 0.83/1.06 (define @t923 () (forall @t28 @t922)) % 0.83/1.06 (define @t924 () (not @t21)) % 0.83/1.06 (define @t925 () (not @t22)) % 0.83/1.06 (define @t926 () (or @t925 @t924 @t18)) % 0.83/1.06 (define @t927 () (forall @t24 @t926)) % 0.83/1.06 (define @t928 () (and @t26 @t927)) % 0.83/1.06 (define @t929 () (forall @t28 (not @t928))) % 0.83/1.06 (define @t930 () (not @t929)) % 0.83/1.06 (define @t931 () (not @t927)) % 0.83/1.06 (define @t932 () (not @t26)) % 0.83/1.06 (define @t933 () (or @t932 @t931)) % 0.83/1.06 (define @t934 () (forall @t28 @t933)) % 0.83/1.06 (define @t935 () (or tptp.v_thesis____ @t933)) % 0.83/1.06 (define @t936 () (or @t932 @t931 tptp.v_thesis____)) % 0.83/1.06 (define @t937 () (=> @t927 tptp.v_thesis____)) % 0.83/1.06 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.83/1.06 (assume @p2 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 0.83/1.06 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t10)) % 0.83/1.06 (assume @p4 @t29) % 0.83/1.06 (assume @p5 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t15)) % 0.83/1.06 (assume @p6 (forall (@list @t30 @t31) (=> @t36 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t30 @t33)) (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t30))))) % 0.83/1.06 (assume @p7 (forall (@list @t37 @t31) (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t37) (tptp.c_Orderings_Oord__class_Oless @t31 @t32 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t37 @t33)))))) % 0.83/1.06 (assume @p8 (forall @t44 (=> @t43 (and (=> @t41 (= @t40 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t39))) (=> (not @t41) (= @t40 @t39)))))) % 0.83/1.06 (assume @p9 (forall (@list @t45) (and (=> @t47 (= @t46 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t45))) (=> (not @t47) (= @t46 @t45))))) % 0.83/1.06 (assume @p10 (forall @t50 (and (=> @t49 (= @t48 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t37))) (=> (not @t49) (= @t48 @t37))))) % 0.83/1.06 (assume @p11 (forall @t54 (=> (and @t34 @t53) (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t52) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t51)))))) % 0.83/1.06 (assume @p12 (forall @t63 (=> @t62 (=> @t61 @t59)))) % 0.83/1.06 (assume @p13 (forall @t67 (=> @t66 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t64) @t45)))) % 0.83/1.06 (assume @p14 (forall @t44 (=> @t66 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t38 @t64) @t38)))) % 0.83/1.06 (assume @p15 (forall @t73 (=> @t72 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t71) @t70)))) % 0.83/1.06 (assume @p16 (forall @t77 (=> @t35 (=> @t76 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t38) @t74) (tptp.c_Groups_Oabs__class_Oabs @t31 @t75)))))) % 0.83/1.06 (assume @p17 (forall @t44 (=> (and @t79 @t34) (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t38 @t78) @t32)))) % 0.83/1.06 (assume @p18 (= @t81 @t80)) % 0.83/1.06 (assume @p19 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t81))) % 0.83/1.06 (assume @p20 (forall @t85 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t81) @t83))) % 0.83/1.06 (assume @p21 (forall @t85 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t82) @t81) @t83))) % 0.83/1.06 (assume @p22 (= @t86 tptp.c_Int_OPls)) % 0.83/1.06 (assume @p23 (forall @t89 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t88) (tptp.c_Int_OBit0 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t87))))) % 0.83/1.06 (assume @p24 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t94 @t93) @t92))) % 0.83/1.06 (assume @p25 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 @t99) @t98))) % 0.83/1.06 (assume @p26 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 0.83/1.06 (assume @p27 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t102) @t92))) % 0.83/1.06 (assume @p28 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t105 @t104) @t98))) % 0.83/1.06 (assume @p29 (forall @t50 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t37) @t48))) % 0.83/1.06 (assume @p30 (= tptp.c_Int_OPls @t81)) % 0.83/1.06 (assume @p31 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 tptp.c_Int_OPls) @t106))) % 0.83/1.06 (assume @p32 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t94 @t102) @t92))) % 0.83/1.06 (assume @p33 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 @t104) @t98))) % 0.83/1.06 (assume @p34 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t105 tptp.c_Int_OPls) @t106))) % 0.83/1.06 (assume @p35 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t97)))) % 0.83/1.06 (assume @p36 (forall @t115 (=> @t114 (= @t112 @t109)))) % 0.83/1.06 (assume @p37 (forall (@list @t68 @t82 @t31) (=> @t117 (= (= @t116 @t68) (= @t68 @t116))))) % 0.83/1.06 (assume @p38 (forall @t101 (= (= @t100 @t99) @t118))) % 0.83/1.06 (assume @p39 (forall @t101 (= (= @t105 @t104) @t118))) % 0.83/1.06 (assume @p40 (forall @t115 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t111 @t110) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t68 @t108))))) % 0.83/1.06 (assume @p41 (forall @t122 (=> @t34 (= (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t119 @t51)) @t121)))) % 0.83/1.06 (assume @p42 (forall @t123 (=> @t62 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t32 @t74) @t32)))) % 0.83/1.06 (assume @p43 (forall @t54 (=> @t34 (= @t126 @t124)))) % 0.83/1.06 (assume @p44 (forall @t54 (=> @t34 (= @t124 @t126)))) % 0.83/1.06 (assume @p45 (forall @t131 (=> @t62 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t130 @t127) (tptp.c_Groups_Ominus__class_Ominus @t31 @t129 @t128))))) % 0.83/1.06 (assume @p46 (forall @t89 (not (= @t132 tptp.c_Int_OPls)))) % 0.83/1.06 (assume @p47 (forall @t135 (not (= tptp.c_Int_OPls @t134)))) % 0.83/1.06 (assume @p48 (forall @t137 (not (= @t132 @t136)))) % 0.83/1.06 (assume @p49 (forall @t137 (not (= @t88 @t134)))) % 0.83/1.06 (assume @p50 (forall @t107 (= (= @t105 tptp.c_Int_OPls) (= @t97 tptp.c_Int_OPls)))) % 0.83/1.06 (assume @p51 (forall (@list @t96) (= (= tptp.c_Int_OPls @t104) (= tptp.c_Int_OPls @t96)))) % 0.83/1.06 (assume @p52 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 0.83/1.06 (assume @p53 (forall @t141 (=> @t72 (= @t140 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t138))))) % 0.83/1.06 (assume @p54 (forall @t141 (=> @t79 @t144))) % 0.83/1.06 (assume @p55 (forall @t146 (=> @t62 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t145 @t74) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t75))))) % 0.83/1.06 (assume @p56 (forall @t141 (=> @t79 @t148))) % 0.83/1.06 (assume @p57 (forall @t44 (=> @t72 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t145) @t149)))) % 0.83/1.06 (assume @p58 (forall @t141 (=> @t35 @t152))) % 0.83/1.06 (assume @p59 (forall @t67 (=> @t72 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t57) @t57)))) % 0.83/1.06 (assume @p60 (forall @t160 (=> @t159 (=> @t158 (=> @t157 @t156))))) % 0.83/1.06 (assume @p61 (forall @t163 (=> @t159 (=> @t162 (=> @t161 @t156))))) % 0.83/1.06 (assume @p62 (forall @t146 (=> @t159 (=> @t166 (=> @t165 @t164))))) % 0.83/1.06 (assume @p63 (forall @t146 (=> @t159 (=> @t166 (=> @t76 @t167))))) % 0.83/1.06 (assume @p64 (forall @t146 (=> @t159 (=> @t168 (=> @t165 @t167))))) % 0.83/1.06 (assume @p65 (forall @t146 (=> @t159 (=> @t168 (=> @t76 @t164))))) % 0.83/1.06 (assume @p66 (forall @t176 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t175 @t32) (or (and @t174 @t173) (and @t172 @t170)))))) % 0.83/1.06 (assume @p67 (forall @t176 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t175) (or (and @t174 @t170) (and @t172 @t173)))))) % 0.83/1.06 (assume @p68 (forall @t177 (=> @t34 (= @t78 @t32)))) % 0.83/1.06 (assume @p69 (forall @t177 (=> @t72 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t32) @t11)))) % 0.83/1.06 (assume @p70 (forall @t73 (=> @t72 (= (= @t71 @t11) @t69)))) % 0.83/1.06 (assume @p71 (forall @t63 (=> @t159 (=> @t61 @t152)))) % 0.83/1.06 (assume @p72 (forall @t44 (=> @t72 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t149 @t11))))) % 0.83/1.06 (assume @p73 (forall @t141 (=> (and @t79 @t62) @t59))) % 0.83/1.06 (assume @p74 (forall @t73 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t111 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t68 tptp.c_Int_OPls))))) % 0.83/1.06 (assume @p75 (forall @t178 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t110) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t108))))) % 0.83/1.06 (assume @p76 (forall @t67 (=> @t182 @t181))) % 0.83/1.06 (assume @p77 (forall @t67 (=> (tptp.class_Groups_Oabs__if @t31) (and @t181 (=> (not @t180) @t183))))) % 0.83/1.06 (assume @p78 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t184)) % 0.83/1.06 (assume @p79 (forall @t176 (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t189 @t169) (and @t188 @t187))))) % 0.83/1.06 (assume @p80 (forall @t63 (=> @t190 (=> @t61 @t144)))) % 0.83/1.06 (assume @p81 (forall @t63 (=> @t190 (=> @t61 @t148)))) % 0.83/1.06 (assume @p82 (forall @t67 (=> @t182 (=> @t191 @t183)))) % 0.83/1.06 (assume @p83 (forall @t194 (=> @t182 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t189) @t193)))) % 0.83/1.06 (assume @p84 (forall @t67 (=> @t182 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t151 @t32))))) % 0.83/1.06 (assume @p85 (forall @t177 (=> @t34 (= @t32 @t78)))) % 0.83/1.06 (assume @p86 (forall @t67 (=> @t195 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t32 @t45) @t143)))) % 0.83/1.06 (assume @p87 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t186 @t171) @t174)))) % 0.83/1.06 (assume @p88 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t81) @t81)) % 0.83/1.06 (assume @p89 (forall @t89 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t87) @t87))) % 0.83/1.06 (assume @p90 (forall (@list @t197) (and (=> @t199 (= @t198 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t197))) (=> (not @t199) (= @t198 @t197))))) % 0.83/1.06 (assume @p91 (forall @t202 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t201) @t200))) % 0.83/1.06 (assume @p92 (forall @t204 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t203) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t125)))) % 0.83/1.06 (assume @p93 (forall @t101 (= @t98 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t97 @t96) @t81)))) % 0.83/1.06 (assume @p94 (forall @t206 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t74) @t205 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t74 @t38)))) % 0.83/1.06 (assume @p95 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t208 @t207) @t98))) % 0.83/1.06 (assume @p96 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t87 tptp.c_Int_OPls) @t87))) % 0.83/1.06 (assume @p97 (forall @t137 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t88 @t136) @t210))) % 0.83/1.06 (assume @p98 (forall @t137 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t132 @t136) (tptp.c_Int_OBit1 @t209)))) % 0.83/1.06 (assume @p99 (forall @t137 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t132 @t134) @t210))) % 0.83/1.06 (assume @p100 (forall @t135 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t136) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t133))))) % 0.83/1.06 (assume @p101 (forall @t73 (=> @t211 (= (= @t32 @t68) @t69)))) % 0.83/1.06 (assume @p102 (forall @t146 (=> @t42 @t216))) % 0.83/1.06 (assume @p103 (forall @t223 (=> @t222 (=> @t221 (= @t219 (= @t218 @t217)))))) % 0.83/1.06 (assume @p104 (forall @t67 (=> @t195 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t143) @t45)))) % 0.83/1.06 (assume @p105 (forall @t176 (=> @t195 (= @t225 (= @t169 @t186))))) % 0.83/1.06 (assume @p106 (forall @t176 (=> @t195 (= (= @t186 @t169) (= @t224 @t171))))) % 0.83/1.06 (assume @p107 (forall @t176 (=> @t195 (= (= @t186 @t224) @t219)))) % 0.83/1.06 (assume @p108 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t230 @t229) (and (=> @t228 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t226)) @t228)))) % 0.83/1.06 (assume @p109 (forall @t232 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t230) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t227)))) % 0.83/1.06 (assume @p110 (= @t233 @t185)) % 0.83/1.06 (assume @p111 (= @t185 @t233)) % 0.83/1.06 (assume @p112 (forall @t67 (=> @t182 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t151) @t151)))) % 0.83/1.06 (assume @p113 (forall @t67 (=> @t195 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t32) @t45)))) % 0.83/1.06 (assume @p114 (forall @t67 (=> @t195 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t45) @t32)))) % 0.83/1.06 (assume @p115 (forall @t176 (=> @t222 (= @t219 @t234)))) % 0.83/1.06 (assume @p116 (forall @t176 (=> @t195 (= @t234 @t219)))) % 0.83/1.06 (assume @p117 (forall @t223 (=> @t235 (=> @t221 (= @t188 (tptp.c_Orderings_Oord__class_Oless @t31 @t218 @t217)))))) % 0.83/1.06 (assume @p118 (forall @t177 (=> @t195 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t32) @t32)))) % 0.83/1.06 (assume @p119 (forall @t194 (=> @t195 (= (= @t32 @t186) (= @t32 @t171))))) % 0.83/1.06 (assume @p120 (forall @t194 (=> @t196 (= (= @t171 @t186) @t192)))) % 0.83/1.06 (assume @p121 (forall @t194 (=> @t195 (= (= @t186 @t32) @t192)))) % 0.83/1.06 (assume @p122 (forall @t194 (=> @t196 (= (= @t186 @t171) @t192)))) % 0.83/1.06 (assume @p123 (forall @t176 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t224) (tptp.c_Orderings_Oord__class_Oless @t31 @t169 @t186))))) % 0.83/1.06 (assume @p124 (forall @t176 (=> @t235 (= @t187 (tptp.c_Orderings_Oord__class_Oless @t31 @t224 @t171))))) % 0.83/1.06 (assume @p125 (forall @t236 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t224 @t186) @t188)))) % 0.83/1.06 (assume @p126 (forall @t67 (=> @t190 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t32 @t45) @t32)))) % 0.83/1.06 (assume @p127 (forall @t67 (=> @t237 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t32) @t32)))) % 0.83/1.06 (assume @p128 (forall @t141 (=> @t222 (= @t238 @t138)))) % 0.83/1.06 (assume @p129 (forall @t177 (=> @t182 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t32) @t32)))) % 0.83/1.06 (assume @p130 (forall @t194 (=> @t182 (= (= @t189 @t32) @t192)))) % 0.83/1.06 (assume @p131 (forall @t163 (=> @t190 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t139 @t153) (tptp.c_Groups_Ominus__class_Ominus @t31 @t155 @t154))))) % 0.83/1.06 (assume @p132 (forall @t141 (=> @t190 (= @t147 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t143 @t55))))) % 0.83/1.06 (assume @p133 (forall @t141 (=> @t182 (= @t240 @t239)))) % 0.83/1.06 (assume @p134 (forall @t67 (=> @t182 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t143) @t151)))) % 0.83/1.06 (assume @p135 (forall @t176 (=> @t235 (= @t188 (tptp.c_Orderings_Oord__class_Oless @t31 @t220 @t32))))) % 0.83/1.06 (assume @p136 (forall @t194 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t186) @t172)))) % 0.83/1.06 (assume @p137 (forall @t194 (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t186) @t172)))) % 0.83/1.06 (assume @p138 (forall @t194 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t186 @t32) @t174)))) % 0.83/1.06 (assume @p139 (forall @t242 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t185)))) % 0.83/1.06 (assume @p140 (forall @t248 (= @t247 (forall @t246 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t245 @t243) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t245) @t244)))))) % 0.83/1.06 (assume @p141 (forall (@list @t249) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t249) (exists @t252 (forall @t251 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t243) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.v_g____ (tptp.hAPP tptp.v_f____ @t243)) tptp.v_z____)) @t249))))))) % 0.83/1.06 (assume @p142 (forall (@list @t38 @t253 @t31) (=> @t256 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t255 @t253)) @t38) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t254))))) % 0.83/1.06 (assume @p143 (forall @t259 (=> @t256 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Groups_Ominus__class_Ominus @t255 @t253 @t257)) @t38) (tptp.c_Groups_Ominus__class_Ominus @t31 @t254 @t258))))) % 0.83/1.06 (assume @p144 (forall @t44 (=> @t262 (= (tptp.hAPP @t261 @t38) @t32)))) % 0.83/1.06 (assume @p145 (forall @t267 (= @t266 @t264))) % 0.83/1.06 (assume @p146 (forall @t270 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t263 @t268)) @t269))) % 0.83/1.06 (assume @p147 (forall @t242 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t185 @t241))) % 0.83/1.06 (assume @p148 (forall @t177 (=> @t222 (= (tptp.c_Groups_Ouminus__class_Ouminus @t255 @t260) @t260)))) % 0.83/1.06 (assume @p149 (forall @t44 (=> @t42 (and (=> @t272 (= @t271 (tptp.c_Groups_Ouminus__class_Ouminus @t255 @t38))) (=> (not @t272) (= @t271 @t38)))))) % 0.83/1.06 (assume @p150 (forall @t273 (=> @t222 (= (tptp.c_Groups_Ominus__class_Ominus @t255 @t260 @t257) (tptp.c_Groups_Ouminus__class_Ouminus @t255 @t257))))) % 0.83/1.06 (assume @p151 (forall @t274 (=> @t222 (= (tptp.c_Groups_Ominus__class_Ominus @t255 @t253 @t260) @t253)))) % 0.83/1.06 (assume @p152 (forall @t280 (=> @t279 (=> @t278 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t277 @t276) @t275))))) % 0.83/1.06 (assume @p153 (forall @t284 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t281) (=> @t283 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t87) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t87)) @t282))))) % 0.83/1.06 (assume @p154 (forall @t280 (=> @t279 (=> @t278 (= (= @t277 @t276) @t285))))) % 0.83/1.06 (assume @p155 (forall @t286 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t241) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t197)) @t197)))) % 0.83/1.06 (assume @p156 (forall @t288 (=> @t287 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t133) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t133))))) % 0.83/1.06 (assume @p157 (forall @t288 (=> @t287 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t290 @t289)))) % 0.83/1.06 (assume @p158 (forall @t293 (= @t292 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t197 @t87) @t291)))) % 0.83/1.06 (assume @p159 (forall @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t282 @t281))) % 0.83/1.06 (assume @p160 (forall @t115 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t111 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t68 @t108))))) % 0.83/1.06 (assume @p161 (forall @t242 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241 @t241))) % 0.83/1.06 (assume @p162 (forall @t294 (or @t287 @t295))) % 0.83/1.06 (assume @p163 (forall @t294 (=> @t296 @t287))) % 0.83/1.06 (assume @p164 (forall @t293 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t291 @t87) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t87))))) % 0.83/1.06 (assume @p165 (forall @t294 (=> @t287 (=> @t295 @t296)))) % 0.83/1.06 (assume @p166 (forall @t294 (=> @t287 @t298))) % 0.83/1.06 (assume @p167 (forall @t299 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t268 @t263) @t185) @t275))) % 0.83/1.06 (assume @p168 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t263 @t185) @t265))) % 0.83/1.06 (assume @p169 (forall @t294 (=> (or @t300 @t296) @t287))) % 0.83/1.06 (assume @p170 (forall @t280 (=> @t279 (=> @t278 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t277 @t276) @t269))))) % 0.83/1.06 (assume @p171 (forall (@list @t153 @t55 @t45) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 @t55) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t153 @t45) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t153) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t55 @t153)))))) % 0.83/1.06 (assume @p172 (forall @t294 (=> @t287 (=> @t301 @t300)))) % 0.83/1.06 (assume @p173 (forall @t294 (=> @t300 @t287))) % 0.83/1.06 (assume @p174 (forall @t299 (= @t275 @t302))) % 0.83/1.06 (assume @p175 (forall @t299 (= @t269 (and @t275 @t303)))) % 0.83/1.06 (assume @p176 (forall (@list @t263 @t2) (=> @t247 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t263 (tptp.hAPP @t2 @t263))))) % 0.83/1.06 (assume @p177 (forall @t223 (=> @t235 (=> @t221 (= @t304 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t218 @t217)))))) % 0.83/1.06 (assume @p178 (forall @t141 (=> @t235 (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t142 @t143))))) % 0.83/1.06 (assume @p179 (forall @t236 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t224 @t186) @t304)))) % 0.83/1.06 (assume @p180 (forall @t176 (=> @t235 (= @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t224 @t171))))) % 0.83/1.06 (assume @p181 (forall @t176 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t224) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t169 @t186))))) % 0.83/1.06 (assume @p182 (forall @t141 (=> @t182 (=> @t307 @t305)))) % 0.83/1.06 (assume @p183 (forall @t67 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t45 @t151)))) % 0.83/1.06 (assume @p184 (forall @t73 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t111 @t32) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t68 tptp.c_Int_OPls))))) % 0.83/1.06 (assume @p185 (forall @t178 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t108))))) % 0.83/1.06 (assume @p186 (forall @t176 (=> @t235 (= @t304 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t220 @t32))))) % 0.83/1.06 (assume @p187 (forall (@list @t82 @t227 @t31) (=> (and @t117 @t309) (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t308 @t116) (not (tptp.c_Orderings_Oord__class_Oless @t31 @t116 @t308)))))) % 0.83/1.06 (assume @p188 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t186 @t171) @t310)))) % 0.83/1.06 (assume @p189 (forall @t194 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t186 @t32) @t310)))) % 0.83/1.06 (assume @p190 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t186) @t311)))) % 0.83/1.06 (assume @p191 (forall @t194 (=> @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t186) @t311)))) % 0.83/1.06 (assume @p192 (forall @t163 (=> @t35 (=> @t305 (=> @t312 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t154 @t155)))))) % 0.83/1.06 (assume @p193 (forall @t163 (=> @t35 (=> @t305 (=> @t313 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t155 @t154)))))) % 0.83/1.06 (assume @p194 (forall @t176 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t175 @t32) @t316)))) % 0.83/1.06 (assume @p195 (forall @t176 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t175) @t317)))) % 0.83/1.06 (assume @p196 (forall @t67 (=> @t182 (=> @t318 @t183)))) % 0.83/1.06 (assume @p197 (forall @t194 (=> @t182 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t189 @t32) @t192)))) % 0.83/1.06 (assume @p198 (forall @t67 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t151)))) % 0.83/1.06 (assume @p199 (forall @t141 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t319 @t239)))) % 0.83/1.06 (assume @p200 (forall @t141 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t319 @t240)))) % 0.83/1.06 (assume @p201 (forall @t141 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t319) @t240)))) % 0.83/1.06 (assume @p202 (forall @t141 (=> @t182 (=> @t307 @t320)))) % 0.83/1.06 (assume @p203 (forall @t141 (=> @t182 (=> @t305 (=> @t320 @t307))))) % 0.83/1.06 (assume @p204 (forall @t176 (=> @t182 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t189 @t169) (and @t304 @t306))))) % 0.83/1.06 (assume @p205 (forall @t67 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t143 @t151)))) % 0.83/1.06 (assume @p206 (forall @t146 (=> @t159 (=> @t322 (=> @t165 @t321))))) % 0.83/1.06 (assume @p207 (forall @t146 (=> @t159 (=> @t322 (=> @t76 @t323))))) % 0.83/1.06 (assume @p208 (forall @t330 (=> @t159 (=> @t329 (=> @t328 (=> @t327 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t325 @t324)))))))) % 0.83/1.06 (assume @p209 (forall @t330 (=> @t159 (=> @t329 (=> @t213 (=> @t327 (=> @t326 @t331))))))) % 0.83/1.06 (assume @p210 (forall @t330 (=> @t159 (=> @t168 (=> @t328 (=> @t327 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t51 @t200) @t331))))))) % 0.83/1.06 (assume @p211 (forall @t146 (=> @t159 (=> @t329 (=> @t165 @t323))))) % 0.83/1.06 (assume @p212 (forall @t146 (=> @t159 (=> @t329 (=> @t76 @t321))))) % 0.83/1.06 (assume @p213 (forall @t67 (=> @t182 (=> @t332 @t179)))) % 0.83/1.06 (assume @p214 (forall @t67 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t151) @t32)))) % 0.83/1.06 (assume @p215 (forall @t294 (=> @t298 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t281) @t185) @t296)))) % 0.83/1.06 (assume @p216 (forall @t333 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t281) @t185))) % 0.83/1.06 (assume @p217 (forall @t333 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t185) @t281))) % 0.83/1.06 (assume @p218 (forall @t242 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t185 @t241) @t185))) % 0.83/1.06 (assume @p219 (forall (@list @t334 @t263 @t268) (=> (=> @t269 @t335) (=> (=> @t285 @t335) (=> (=> @t336 @t335) @t335))))) % 0.83/1.06 (assume @p220 (forall @t288 (=> @t300 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t281 @t133) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t290 @t289))))) % 0.83/1.06 (assume @p221 (forall (@list @t241 @t87 @t291) (=> @t337 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t291 @t241) @t87)))) % 0.83/1.06 (assume @p222 (forall (@list @t338 @t339) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t339 @t338) (not (= @t339 @t338))))) % 0.83/1.06 (assume @p223 (forall @t341 (=> @t340 @t301))) % 0.83/1.06 (assume @p224 (forall @t242 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t241)))) % 0.83/1.06 (assume @p225 (forall @t206 (=> @t215 (=> (not @t342) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t74 @t38))))) % 0.83/1.06 (assume @p226 (forall @t299 (= @t303 (or @t269 @t336)))) % 0.83/1.06 (assume @p227 (forall @t348 (=> @t347 (= (= @t345 @t261) @t344)))) % 0.83/1.06 (assume @p228 (forall (@list @t349 @t343 @t31) (=> @t347 (= (= @t345 (tptp.c_Polynomial_Opoly @t31 @t349)) (= @t343 @t349))))) % 0.83/1.06 (assume @p229 (forall @t242 (=> @t352 @t350))) % 0.83/1.06 (assume @p230 (forall @t294 (=> @t300 @t352))) % 0.83/1.06 (assume @p231 (forall @t341 (=> @t350 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t281) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282 @t281))))) % 0.83/1.06 (assume @p232 (forall @t348 (=> @t211 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t31 @t343) @t185) @t344)))) % 0.83/1.06 (assume @p233 (forall (@list @t171 @t343 @t31) (=> @t346 (= (= (tptp.hAPP @t345 @t171) @t32) (or @t344 (not (= (tptp.c_Polynomial_Oorder @t31 @t171 @t343) @t185))))))) % 0.83/1.06 (assume @p234 (forall @t44 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t38)))) % 0.83/1.06 (assume @p235 (forall @t206 (=> @t342 @t354))) % 0.83/1.06 (assume @p236 (forall (@list @t253 @t200 @t355) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t355) (exists @t28 (and @t26 (forall @t24 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t357) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t357 @t19)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP @t356 @t16) (tptp.hAPP @t356 @t200))) @t355)))))))) % 0.83/1.06 (assume @p237 (forall @t141 (=> @t222 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t143 @t142) @t238)))) % 0.83/1.06 (assume @p238 (forall (@list @t358 @t31) (=> @t360 (= (tptp.c_SEQ_Odecseq @t31 @t358) (forall @t246 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t245 @t243) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t359 (tptp.hAPP @t358 @t245)))))))) % 0.83/1.06 (assume @p239 (forall @t146 (=> @t362 (=> @t328 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t361 @t145))))) % 0.83/1.06 (assume @p240 @t363) % 0.83/1.06 (assume @p241 (forall @t251 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t364) tptp.v_r))) % 0.83/1.06 (assume @p242 (forall @t368 (=> @t367 (=> @t366 @t365)))) % 0.83/1.06 (assume @p243 (forall @t293 (=> @t369 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t291 @t87) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t197 @t87))))) % 0.83/1.06 (assume @p244 (forall @t368 (or @t367 @t366))) % 0.83/1.06 (assume @p245 (forall @t204 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t51))) % 0.83/1.06 (assume @p246 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 @t99) @t370))) % 0.83/1.06 (assume @p247 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t94 @t93) @t371))) % 0.83/1.06 (assume @p248 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 0.83/1.06 (assume @p249 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t104) @t370))) % 0.83/1.06 (assume @p250 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t103 @t102) @t371))) % 0.83/1.06 (assume @p251 (forall @t375 (= @t374 (and @t373 @t372)))) % 0.83/1.06 (assume @p252 (forall @t375 (= @t373 (or @t374 @t109)))) % 0.83/1.06 (assume @p253 (forall (@list @t82 @t376) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t82) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t376 @t82) (not (= @t376 @t82)))))) % 0.83/1.06 (assume @p254 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t208 @t207) @t370))) % 0.83/1.06 (assume @p255 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t100) @t377))) % 0.83/1.06 (assume @p256 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t99) @t370))) % 0.83/1.06 (assume @p257 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t103 @t93) @t371))) % 0.83/1.06 (assume @p258 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t105) @t377))) % 0.83/1.06 (assume @p259 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t97 tptp.c_Int_OPls)))) % 0.83/1.06 (assume @p260 (forall @t44 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t149)))) % 0.83/1.06 (assume @p261 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t68 @t108)) (and (or @t380 @t379) (or @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t108 @t11)))))) % 0.83/1.06 (assume @p262 (forall @t375 (= @t373 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t68 @t108) @t11)))) % 0.83/1.06 (assume @p263 (forall (@list @t30 @t68) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t68) @t30) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t30) @t68) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t68 @t30))))) % 0.83/1.06 (assume @p264 (forall @t73 (=> @t72 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t11) @t69)))) % 0.83/1.06 (assume @p265 (forall @t232 (= (= @t230 @t185) @t381))) % 0.83/1.06 (assume @p266 (forall @t232 (= (= @t185 @t230) @t381))) % 0.83/1.06 (assume @p267 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t100) @t377))) % 0.83/1.06 (assume @p268 (forall @t107 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 tptp.c_Int_OPls) @t106))) % 0.83/1.06 (assume @p269 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t105 @t99) @t370))) % 0.83/1.06 (assume @p270 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t93) @t371))) % 0.83/1.06 (assume @p271 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 @t104) @t98))) % 0.83/1.06 (assume @p272 (forall @t95 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t94 @t102) @t92))) % 0.83/1.06 (assume @p273 (forall @t146 (=> @t309 (=> (not @t328) @t382)))) % 0.83/1.06 (assume @p274 (forall (@list @t68 @t1 @t2 @t31 @t383) (=> @t386 (=> @t385 (tptp.c_Orderings_Oord__class_Oless__eq @t383 (tptp.hAPP @t2 @t68) (tptp.hAPP @t1 @t68)))))) % 0.83/1.06 (assume @p275 (forall @t388 (=> @t360 (=> @t382 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t200 @t38)))))) % 0.83/1.06 (assume @p276 (forall @t77 (=> @t360 (=> @t382 (=> @t328 @t205))))) % 0.83/1.06 (assume @p277 (forall @t390 (=> @t353 (=> @t328 (=> @t389 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t200)))))) % 0.83/1.06 (assume @p278 (forall @t146 (=> @t360 (=> @t328 (=> @t382 @t205))))) % 0.83/1.06 (assume @p279 (forall @t160 (=> @t360 (=> @t393 (=> @t392 @t391))))) % 0.83/1.06 (assume @p280 (forall @t163 (=> @t395 (=> @t305 (=> @t392 @t394))))) % 0.83/1.06 (assume @p281 (forall @t163 (=> @t360 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t153 @t55) @t391))))) % 0.83/1.06 (assume @p282 (forall @t163 (=> @t395 (=> @t396 (=> @t397 @t394))))) % 0.83/1.06 (assume @p283 (forall @t401 (=> @t360 (=> @t400 @t399)))) % 0.83/1.06 (assume @p284 (forall @t146 (=> @t353 (=> @t205 @t328)))) % 0.83/1.06 (assume @p285 (forall @t115 (=> @t360 (= @t109 (and @t398 @t400))))) % 0.83/1.06 (assume @p286 (forall @t146 (=> @t309 (or @t328 @t382)))) % 0.83/1.06 (assume @p287 (forall @t402 (=> @t386 (= @t385 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t383 @t5 @t4)))))) % 0.83/1.06 (assume @p288 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t230 @t229) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t226)) @t381)))) % 0.83/1.06 (assume @p289 (forall @t44 (=> @t353 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t38))))) % 0.83/1.06 (assume @p290 (forall @t115 (=> @t309 (= @t372 (or @t404 @t403))))) % 0.83/1.06 (assume @p291 (forall @t115 (=> @t309 (= @t405 (or @t403 @t109))))) % 0.83/1.06 (assume @p292 (forall @t146 (=> @t309 (or @t213 @t205 @t212)))) % 0.83/1.06 (assume @p293 (forall @t401 (=> @t309 (=> (not @t403) @t406)))) % 0.83/1.06 (assume @p294 (forall @t146 (=> @t309 @t216))) % 0.83/1.06 (assume @p295 (forall @t146 (=> @t360 (=> @t213 @t215)))) % 0.83/1.06 (assume @p296 (forall @t146 (=> @t353 (=> @t213 (not @t212))))) % 0.83/1.06 (assume @p297 (forall @t146 (=> @t360 (=> @t213 (not (= @t74 @t38)))))) % 0.83/1.06 (assume @p298 (forall @t141 (=> @t353 (=> @t162 (not @t158))))) % 0.83/1.06 (assume @p299 (forall @t63 (=> @t360 (=> @t158 (not @t162))))) % 0.83/1.06 (assume @p300 (forall @t163 (=> @t395 (=> @t396 (=> @t408 @t407))))) % 0.83/1.06 (assume @p301 (forall @t163 (=> @t360 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t153 @t55) @t409))))) % 0.83/1.06 (assume @p302 (forall @t163 (=> @t395 (=> @t162 (=> @t392 @t407))))) % 0.83/1.06 (assume @p303 (forall @t160 (=> @t360 (=> @t158 (=> @t392 @t409))))) % 0.83/1.06 (assume @p304 (forall @t390 (=> @t353 (=> @t213 @t411)))) % 0.83/1.06 (assume @p305 (forall @t388 (=> @t360 (=> @t212 @t413)))) % 0.83/1.06 (assume @p306 (forall @t146 (=> @t309 (=> @t214 (=> @t215 @t212))))) % 0.83/1.06 (assume @p307 (forall @t141 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t414 @t140)))) % 0.83/1.06 (assume @p308 (forall (@list @t68 @t415 @t416 @t383 @t31) (=> (tptp.class_Groups_Ominus @t31) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t418 @t416 @t415) @t68) (tptp.c_Groups_Ominus__class_Ominus @t31 @t417 (tptp.hAPP @t415 @t68)))))) % 0.83/1.06 (assume @p309 (forall @t44 (=> @t362 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t145) @t38)))) % 0.83/1.06 (assume @p310 (forall (@list @t68 @t416 @t383 @t31) (=> (tptp.class_Groups_Ouminus @t31) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t418 @t416) @t68) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t417))))) % 0.83/1.06 (assume @p311 (forall @t115 (=> @t362 (= (= @t420 @t419) @t109)))) % 0.83/1.06 (assume @p312 (forall @t141 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t414) @t140)))) % 0.83/1.06 (assume @p313 (forall @t115 (=> @t309 (= @t405 @t400)))) % 0.83/1.06 (assume @p314 (forall @t115 (=> @t309 (= (not @t398) @t403)))) % 0.83/1.06 (assume @p315 (forall @t146 (=> @t309 (or @t328 @t212)))) % 0.83/1.06 (assume @p316 (forall @t115 (=> @t360 (= @t404 (and @t398 @t372))))) % 0.83/1.06 (assume @p317 (forall @t115 (=> @t353 (= @t404 (and @t398 (not @t400)))))) % 0.83/1.06 (assume @p318 (forall @t115 (=> @t360 (= @t398 (or @t404 @t109))))) % 0.83/1.06 (assume @p319 (forall @t146 (=> @t309 (=> @t214 @t382)))) % 0.83/1.06 (assume @p320 (forall @t77 (=> @t309 (=> (not @t382) @t213)))) % 0.83/1.06 (assume @p321 (forall @t115 (=> @t309 (=> @t405 @t399)))) % 0.83/1.06 (assume @p322 (forall @t141 (=> @t360 (=> @t421 (=> @t305 @t162))))) % 0.83/1.06 (assume @p323 (forall @t141 (=> @t360 (=> @t421 (=> @t393 @t158))))) % 0.83/1.06 (assume @p324 (forall @t77 (=> @t309 (=> @t382 @t214)))) % 0.83/1.06 (assume @p325 (forall @t146 (=> @t353 (=> @t213 @t328)))) % 0.83/1.06 (assume @p326 (forall @t115 (=> @t309 (=> @t398 @t406)))) % 0.83/1.06 (assume @p327 (forall @t146 (=> @t360 (=> @t328 (or @t213 @t205))))) % 0.83/1.06 (assume @p328 (forall @t141 (=> @t360 (=> @t305 (=> @t421 @t162))))) % 0.83/1.06 (assume @p329 (forall @t63 (=> @t360 (=> @t393 (=> @t421 @t158))))) % 0.83/1.06 (assume @p330 (forall @t390 (=> @t353 (=> @t213 (=> @t389 @t410))))) % 0.83/1.06 (assume @p331 (forall @t388 (=> @t360 (=> @t212 (=> @t387 @t412))))) % 0.83/1.06 (assume @p332 (forall @t390 (=> @t353 (=> @t328 @t411)))) % 0.83/1.06 (assume @p333 (forall @t388 (=> @t360 (=> @t382 @t413)))) % 0.83/1.06 (assume @p334 (forall @t115 (=> @t362 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t420 @t419) @t400)))) % 0.83/1.06 (assume @p335 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t422)) % 0.83/1.06 (assume @p336 (forall @t242 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t241)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t241))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t241))))))) % 0.83/1.06 (assume @p337 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t423))) % 0.83/1.06 (assume @p338 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t424 tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t200)))))) % 0.83/1.06 (assume @p339 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t80)) % 0.83/1.06 (assume @p340 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t425) tptp.v_r) (= @t426 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t426))))) % 0.83/1.06 (assume @p341 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____) tptp.v_r)) % 0.83/1.06 (assume @p342 (forall @t436 (= @t435 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t427 tptp.v_s____)))) % 0.83/1.06 (assume @p343 (forall @t402 (=> @t386 (= (tptp.c_Orderings_Oord__class_Oless @t384 @t2 @t1) (and @t385 (not (tptp.c_Orderings_Oord__class_Oless__eq @t384 @t1 @t2))))))) % 0.83/1.06 (assume @p344 (forall @t368 (=> @t438 (=> @t437 @t365)))) % 0.83/1.06 (assume @p345 (forall @t293 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t197 @t291) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t291 @t87) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t197 @t87))))) % 0.83/1.06 (assume @p346 (forall @t368 (or @t438 @t437))) % 0.83/1.06 (assume @p347 (forall @t204 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t51))) % 0.83/1.06 (assume @p348 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t81)) % 0.83/1.06 (assume @p349 (= (exists @t434 (and @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430 @t7))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t7))) % 0.83/1.06 (assume @p350 (forall @t440 (= (exists @t434 (and @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430 @t108))) @t439))) % 0.83/1.06 (assume @p351 (forall @t440 (= (exists @t434 (and @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t430)) @t108))) @t439))) % 0.83/1.06 (assume @p352 (exists @t434 (forall @t6 (=> (exists (@list @t441) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t441) tptp.v_r) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t441)) @t428))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t429))))) % 0.83/1.06 (assume @p353 (=> (not @t363) (exists @t434 (forall @t24 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t16) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t430 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t17))))))) % 0.83/1.06 (assume @p354 (forall (@list @t68 @t445) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t445) tptp.v_r) (=> (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t445)) @t444) @t443)))) % 0.83/1.06 (assume @p355 (forall @t447 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t446) @t446))) % 0.83/1.06 (assume @p356 (exists (@list @t448) (forall @t436 (= @t435 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t427 @t448))))) % 0.83/1.06 (assume @p357 (exists (@list @t3 @t429) @t433)) % 0.83/1.06 (assume @p358 (forall @t452 (and @t451 (=> (not @t450) (= @t449 @t81))))) % 0.83/1.06 (assume @p359 (forall @t73 (=> (tptp.class_Groups_Oone @t31) (= (= @t453 @t68) @t454)))) % 0.83/1.06 (assume @p360 (forall @t177 (=> @t53 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t453) @t442)))) % 0.83/1.06 (assume @p361 (forall @t44 (=> @t455 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Groups_Oone__class_Oone @t255)) @t38) @t453)))) % 0.83/1.06 (assume @p362 (forall @t177 (=> @t456 (not (= @t32 @t453))))) % 0.83/1.06 (assume @p363 (forall @t177 (=> @t456 (not (= @t453 @t32))))) % 0.83/1.06 (assume @p364 (forall @t67 (=> @t190 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t45 @t453) @t45)))) % 0.83/1.06 (assume @p365 (forall @t177 (=> @t42 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t453) @t453)))) % 0.83/1.06 (assume @p366 (not (= @t11 @t442))) % 0.83/1.06 (assume @p367 (forall @t177 (=> @t457 (not (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t32))))) % 0.83/1.06 (assume @p368 (forall @t177 (=> @t457 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t453)))) % 0.83/1.06 (assume @p369 (forall @t177 (=> @t457 (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t453)))) % 0.83/1.06 (assume @p370 (forall @t177 (=> @t457 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t32))))) % 0.83/1.06 (assume @p371 (forall @t236 (=> @t190 (=> (not @t458) (= (= @t175 @t453) @t219))))) % 0.83/1.06 (assume @p372 (forall @t67 (=> @t190 @t462))) % 0.83/1.06 (assume @p373 (forall @t67 (=> @t237 (and (=> @t460 (= @t459 @t32)) @t462)))) % 0.83/1.06 (assume @p374 (forall @t177 (=> @t34 (= @t64 @t453)))) % 0.83/1.06 (assume @p375 (forall @t177 (=> @t34 (= @t453 @t64)))) % 0.83/1.06 (assume @p376 (forall @t206 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t449))))) % 0.83/1.06 (assume @p377 (forall @t452 @t451)) % 0.83/1.06 (assume @p378 (forall @t73 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t111 @t453) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t68 @t12))))) % 0.83/1.06 (assume @p379 (forall @t178 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t108))))) % 0.83/1.06 (assume @p380 (forall @t73 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t111 @t453) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t68 @t12))))) % 0.83/1.06 (assume @p381 (forall @t178 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t110) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t108))))) % 0.83/1.06 (assume @p382 (forall @t177 (=> @t36 (tptp.c_Orderings_Oord__class_Oless @t31 @t32 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t453 @t33))))) % 0.83/1.06 (assume @p383 (forall @t146 (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t467 @t466) (=> @t465 @t213))))) % 0.83/1.06 (assume @p384 (forall @t251 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t364)) @t469))) % 0.83/1.06 (assume @p385 (forall (@list @t253 @t37) (exists @t470 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t245) (forall @t434 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t431 @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t356 @t429)) @t245))))))) % 0.83/1.06 (assume @p386 (forall (@list @t471) (=> @t474 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t473 @t471)))) % 0.83/1.06 (assume @p387 (forall @t242 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t475))) % 0.83/1.06 (assume @p388 (forall @t294 (=> @t300 @t477))) % 0.83/1.06 (assume @p389 (forall @t242 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t475))) % 0.83/1.06 (assume @p390 (forall @t242 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t478))) % 0.83/1.06 (assume @p391 (forall @t480 (= (= @t479 @t442) (= @t68 @t442)))) % 0.83/1.06 (assume @p392 (= (tptp.c_NthRoot_Osqrt @t442) @t442)) % 0.83/1.06 (assume @p393 (forall @t242 (= @t482 @t481))) % 0.83/1.06 (assume @p394 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t483) @t442)) % 0.83/1.06 (assume @p395 (= @t483 @t484)) % 0.83/1.06 (assume @p396 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t484) @t442)) % 0.83/1.06 (assume @p397 (forall @t242 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t475 @t483) @t241))) % 0.83/1.06 (assume @p398 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t475) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t485 @t241)))) % 0.83/1.06 (assume @p399 (forall @t489 (=> @t53 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t488 @t486)))) % 0.83/1.06 (assume @p400 (forall @t146 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t492 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t149 @t490))))) % 0.83/1.06 (assume @p401 (forall @t206 (=> @t495 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t494 @t493)))) % 0.83/1.06 (assume @p402 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t479 @t496) @t373))) % 0.83/1.06 (assume @p403 (forall @t115 (=> @t346 (= (= (tptp.c_Power_Opower__class_Opower @t31 @t68 @t497) (tptp.c_Power_Opower__class_Opower @t31 @t108 @t497)) (or @t109 (= @t68 @t419)))))) % 0.83/1.06 (assume @p404 (forall (@list @t153 @t51 @t119 @t31) (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t120 (tptp.c_Groups_Ominus__class_Ominus @t31 @t52 @t153)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t499 @t153))))) % 0.83/1.06 (assume @p405 (forall @t480 (= (= @t479 @t11) @t500))) % 0.83/1.06 (assume @p406 (= (tptp.c_NthRoot_Osqrt @t11) @t11)) % 0.83/1.06 (assume @p407 (forall @t242 (not (= @t241 @t475)))) % 0.83/1.06 (assume @p408 (forall @t242 (not (= @t475 @t241)))) % 0.83/1.06 (assume @p409 (forall (@list @t501 @t502) (= (= (tptp.c_Nat_OSuc @t502) (tptp.c_Nat_OSuc @t501)) (= @t502 @t501)))) % 0.83/1.06 (assume @p410 (forall (@list @t38 @t241 @t253 @t31) (=> @t455 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Power_Opower__class_Opower @t255 @t253 @t241)) @t38) (tptp.c_Power_Opower__class_Opower @t31 @t254 @t241))))) % 0.83/1.06 (assume @p411 (forall @t259 (=> @t262 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Groups_Oplus__class_Oplus @t255 @t253 @t257)) @t38) (tptp.c_Groups_Oplus__class_Oplus @t31 @t254 @t258))))) % 0.83/1.06 (assume @p412 (forall @t206 (=> (= (tptp.c_Nat_OSuc @t38) (tptp.c_Nat_OSuc @t74)) @t205))) % 0.83/1.06 (assume @p413 (forall @t294 (= @t505 @t504))) % 0.83/1.06 (assume @p414 (forall @t294 (= @t504 @t505))) % 0.83/1.06 (assume @p415 (forall @t270 (= (= @t508 @t507) @t506))) % 0.83/1.06 (assume @p416 (forall @t489 (=> @t509 (= @t488 @t486)))) % 0.83/1.06 (assume @p417 (forall @t122 (=> @t34 (= @t499 @t510)))) % 0.83/1.06 (assume @p418 (forall @t122 (=> @t34 (= @t510 @t499)))) % 0.83/1.06 (assume @p419 (forall @t511 (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t120 (tptp.c_Groups_Oplus__class_Oplus @t31 @t52 @t200)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t499 @t200))))) % 0.83/1.06 (assume @p420 (forall (@list @t87 @t38) (= (tptp.c_NthRoot_Osqrt (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t38 @t87)) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t494 @t87)))) % 0.83/1.06 (assume @p421 (forall @t375 (= (= @t479 @t496) @t109))) % 0.83/1.06 (assume @p422 (forall @t163 (=> (tptp.class_Groups_Oab__semigroup__add @t31) @t515))) % 0.83/1.06 (assume @p423 (forall @t520 (=> @t519 (= (= @t518 @t517) @t516)))) % 0.83/1.06 (assume @p424 (forall (@list @t218 @t171 @t169 @t31) (=> @t519 (= (= @t522 @t521) @t516)))) % 0.83/1.06 (assume @p425 (forall @t163 (=> @t519 @t524))) % 0.83/1.06 (assume @p426 (forall @t163 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t31) @t524))) % 0.83/1.06 (assume @p427 (forall @t160 (=> @t519 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t55 @t45) @t525) @t392)))) % 0.83/1.06 (assume @p428 (forall @t529 (=> @t528 (=> @t527 @t162)))) % 0.83/1.06 (assume @p429 (forall @t531 (=> @t528 (=> @t530 @t162)))) % 0.83/1.06 (assume @p430 (forall @t537 (=> @t536 (=> @t162 @t535)))) % 0.83/1.06 (assume @p431 (forall @t163 (=> @t536 (=> @t162 @t527)))) % 0.83/1.06 (assume @p432 (forall @t163 (=> @t536 (=> @t162 @t530)))) % 0.83/1.06 (assume @p433 (forall @t539 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t521 @t538) @t188)))) % 0.83/1.06 (assume @p434 (forall @t541 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t517 @t540) @t188)))) % 0.83/1.06 (assume @p435 (forall @t447 (= (tptp.c_NthRoot_Osqrt @t542) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t494)))) % 0.83/1.06 (assume @p436 (forall @t529 (=> @t528 (=> @t543 @t305)))) % 0.83/1.06 (assume @p437 (forall @t531 (=> @t528 (=> @t544 @t305)))) % 0.83/1.06 (assume @p438 (forall @t537 (=> @t546 (=> @t305 (=> @t545 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t523 @t533)))))) % 0.83/1.06 (assume @p439 (forall @t163 (=> @t546 (=> @t305 @t543)))) % 0.83/1.06 (assume @p440 (forall @t163 (=> @t546 (=> @t305 @t544)))) % 0.83/1.06 (assume @p441 (forall @t539 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t521 @t538) @t304)))) % 0.83/1.06 (assume @p442 (forall @t541 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t517 @t540) @t304)))) % 0.83/1.06 (assume @p443 (forall @t194 (=> @t196 (= (= @t547 @t32) @t192)))) % 0.83/1.06 (assume @p444 (forall @t67 (=> @t549 @t548))) % 0.83/1.06 (assume @p445 (forall @t67 (=> @t550 @t548))) % 0.83/1.06 (assume @p446 (forall @t194 (=> @t196 (= (= @t32 @t547) @t192)))) % 0.83/1.06 (assume @p447 (forall @t67 (=> @t549 @t551))) % 0.83/1.06 (assume @p448 (forall @t67 (=> @t550 @t551))) % 0.83/1.06 (assume @p449 (forall @t206 (= (tptp.c_NthRoot_Osqrt (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 @t74)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t494 @t493)))) % 0.83/1.06 (assume @p450 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t479 @t496) @t374))) % 0.83/1.06 (assume @p451 (forall @t206 (=> @t552 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t494 @t493)))) % 0.83/1.06 (assume @p452 (forall @t555 (=> @t72 (=> @t554 (=> @t553 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t492 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t37 @t339))))))) % 0.83/1.06 (assume @p453 (forall @t242 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t482))) % 0.83/1.06 (assume @p454 (forall @t141 (=> @t195 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t139 @t55) @t45)))) % 0.83/1.06 (assume @p455 (forall @t141 (=> @t195 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t513 @t55) @t45)))) % 0.83/1.06 (assume @p456 (forall @t141 (=> @t222 (= @t556 (tptp.c_Groups_Oplus__class_Oplus @t31 @t143 @t142))))) % 0.83/1.06 (assume @p457 (forall @t141 (=> @t195 (= @t556 (tptp.c_Groups_Oplus__class_Oplus @t31 @t142 @t143))))) % 0.83/1.06 (assume @p458 (forall @t141 (=> @t195 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 (tptp.c_Groups_Oplus__class_Oplus @t31 @t143 @t55)) @t55)))) % 0.83/1.06 (assume @p459 (forall @t141 (=> @t195 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t143 @t513) @t55)))) % 0.83/1.06 (assume @p460 (forall @t333 (not (= @t185 @t476)))) % 0.83/1.06 (assume @p461 (forall (@list @t557) (not (= @t185 (tptp.c_Nat_OSuc @t557))))) % 0.83/1.06 (assume @p462 (forall @t333 (not (= @t476 @t185)))) % 0.83/1.06 (assume @p463 (forall (@list @t558) (not (= (tptp.c_Nat_OSuc @t558) @t185)))) % 0.83/1.06 (assume @p464 (forall @t163 (=> @t190 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t513 @t153) (tptp.c_Groups_Oplus__class_Oplus @t31 @t155 @t154))))) % 0.83/1.06 (assume @p465 (forall @t131 (=> @t62 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t491 @t127) (tptp.c_Groups_Oplus__class_Oplus @t31 @t129 @t128))))) % 0.83/1.06 (assume @p466 (forall @t559 (=> @t495 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t200 @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t200 @t74))))) % 0.83/1.06 (assume @p467 (forall @t299 (= (not @t269) @t561))) % 0.83/1.06 (assume @p468 (forall @t299 (= @t563 @t302))) % 0.83/1.06 (assume @p469 (forall @t299 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t560 @t562) @t269))) % 0.83/1.06 (assume @p470 (forall @t270 (=> (not @t336) @t564))) % 0.83/1.06 (assume @p471 (forall @t341 (=> (not @t340) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t476) @t296)))) % 0.83/1.06 (assume @p472 (forall @t294 (=> @t300 @t565))) % 0.83/1.06 (assume @p473 (forall @t294 (=> @t300 (=> (not (= @t476 @t241)) @t566)))) % 0.83/1.06 (assume @p474 (forall @t293 (=> @t568 (=> @t337 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t87))))) % 0.83/1.06 (assume @p475 (forall @t294 (=> @t565 (=> @t569 @t296)))) % 0.83/1.06 (assume @p476 (forall @t294 (=> @t566 @t300))) % 0.83/1.06 (assume @p477 (forall @t294 (=> @t477 @t300))) % 0.83/1.06 (assume @p478 (forall @t141 (=> @t182 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t570) @t570)))) % 0.83/1.06 (assume @p479 (forall @t447 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t571) @t571))) % 0.83/1.06 (assume @p480 (forall @t294 (=> @t572 @t287))) % 0.83/1.06 (assume @p481 (forall @t294 (=> @t573 (=> (not @t287) (= @t281 @t475))))) % 0.83/1.06 (assume @p482 (forall @t294 (=> @t287 @t573))) % 0.83/1.06 (assume @p483 (forall @t270 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t562 @t560) @t574))) % 0.83/1.06 (assume @p484 (forall @t299 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t562) (or @t275 (= @t268 @t562))))) % 0.83/1.06 (assume @p485 (forall @t299 (= (not @t275) @t575))) % 0.83/1.06 (assume @p486 (forall @t242 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t475 @t241)))) % 0.83/1.06 (assume @p487 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t476 @t475) @t282))) % 0.83/1.06 (assume @p488 (forall @t577 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t576 (tptp.c_Nat_OSuc @t87)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t282 @t87)))) % 0.83/1.06 (assume @p489 (not (= @t81 @t578))) % 0.83/1.06 (assume @p490 (forall (@list @t241 @t37 @t31) (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t37 @t453) (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Power_Opower__class_Opower @t31 @t37 @t475) @t37)))))) % 0.83/1.06 (assume @p491 (forall @t270 (= @t336 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t508 @t442) @t507)))) % 0.83/1.06 (assume @p492 (forall @t270 (= @t574 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t507 @t442))))) % 0.83/1.06 (assume @p493 (forall @t537 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 @t582) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 @t580) (tptp.c_RealVector_Onorm__class_Onorm @t31 @t579)))))) % 0.83/1.06 (assume @p494 (forall (@list @t51 @t153 @t119 @t31) (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t120 (tptp.c_Groups_Ominus__class_Ominus @t31 @t153 @t52)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t584 @t153))))) % 0.83/1.06 (assume @p495 (forall @t242 (=> @t350 (= @t241 @t585)))) % 0.83/1.06 (assume @p496 (forall @t242 (=> @t350 (= @t585 @t241)))) % 0.83/1.06 (assume @p497 (forall (@list @t532 @t55 @t153 @t45) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t45 @t153) @t184) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t55 @t532) @t184))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t45 @t184) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t55 @t184))) (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t153 @t184) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t532 @t184))))))) % 0.83/1.06 (assume @p498 (forall @t452 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74 @t589))) % 0.83/1.06 (assume @p499 (forall @t206 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t589))) % 0.83/1.06 (assume @p500 (forall @t206 (=> (= @t589 @t38) (= @t74 @t11)))) % 0.83/1.06 (assume @p501 (forall @t206 (=> (= @t589 @t74) @t590))) % 0.83/1.06 (assume @p502 (forall @t206 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t589))) % 0.83/1.06 (assume @p503 (forall @t206 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t591 @t589))) % 0.83/1.06 (assume @p504 (forall @t452 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t592 @t589))) % 0.83/1.06 (assume @p505 (forall @t598 (=> @t597 (= @t596 (exists @t252 (forall @t251 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t594 @t593))))))) % 0.83/1.06 (assume @p506 (forall @t598 (=> @t597 (= @t596 (exists @t252 (forall @t251 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t594 @t593))))))) % 0.83/1.06 (assume @p507 (forall @t599 (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t120 @t453) (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t12)))))) % 0.83/1.06 (assume @p508 (forall @t54 (=> @t34 (= @t600 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t51)))))) % 0.83/1.06 (assume @p509 (forall @t440 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t496) @t379))) % 0.83/1.06 (assume @p510 (forall @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t479 @t11) @t380))) % 0.83/1.06 (assume @p511 (forall @t447 (=> @t601 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t494)))) % 0.83/1.06 (assume @p512 (forall @t447 (=> @t601 (=> @t602 @t590)))) % 0.83/1.06 (assume @p513 (forall @t440 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t496) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t108)))) % 0.83/1.06 (assume @p514 (forall @t480 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t479 @t11) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t68 @t11)))) % 0.83/1.06 (assume @p515 (forall @t447 (=> @t603 (not @t602)))) % 0.83/1.06 (assume @p516 (forall @t447 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t494)))) % 0.83/1.06 (assume @p517 (forall @t447 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t38) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t494)))) % 0.83/1.06 (assume @p518 (forall @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t479 @t442) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t68 @t442)))) % 0.83/1.06 (assume @p519 (forall @t440 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t496) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t108)))) % 0.83/1.06 (assume @p520 (forall @t480 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t479 @t442) @t443))) % 0.83/1.06 (assume @p521 (forall @t440 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t442 @t496) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t442 @t108)))) % 0.83/1.06 (assume @p522 (forall @t267 (= (= @t508 @t11) @t265))) % 0.83/1.06 (assume @p523 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t185) @t11)) % 0.83/1.06 (assume @p524 (forall @t242 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t478 @t11)))) % 0.83/1.06 (assume @p525 (forall (@list @t119) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t604) (= @t604 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t604 @t483)))))) % 0.83/1.06 (assume @p526 (forall @t270 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 @t507) @t336))) % 0.83/1.06 (assume @p527 (forall @t141 (=> @t606 (=> @t332 (=> @t605 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t513 @t32)))))) % 0.83/1.06 (assume @p528 (forall @t608 (=> @t606 (=> @t313 (=> @t393 @t607))))) % 0.83/1.06 (assume @p529 (forall @t163 (=> @t606 (=> @t318 (=> @t397 @t607))))) % 0.83/1.06 (assume @p530 (forall @t115 (=> @t606 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t68) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t108) (= @t611 @t610)))))) % 0.83/1.06 (assume @p531 (forall @t141 (=> @t606 (=> @t318 (=> @t612 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t513)))))) % 0.83/1.06 (assume @p532 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t547 @t32) @t311)))) % 0.83/1.06 (assume @p533 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t547) @t310)))) % 0.83/1.06 (assume @p534 (forall @t194 (=> @t196 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t547) @t174)))) % 0.83/1.06 (assume @p535 (forall @t194 (=> @t196 @t613))) % 0.83/1.06 (assume @p536 (forall @t141 (=> @t606 (=> @t191 @t616)))) % 0.83/1.06 (assume @p537 (forall @t163 (=> @t457 (=> @t191 @t618)))) % 0.83/1.06 (assume @p538 (forall @t141 (=> @t606 (=> @t180 @t621)))) % 0.83/1.06 (assume @p539 (forall @t194 (=> @t42 @t613))) % 0.83/1.06 (assume @p540 (forall @t270 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t508 @t507) @t574))) % 0.83/1.06 (assume @p541 (forall @t537 (=> @t536 (=> @t305 @t535)))) % 0.83/1.06 (assume @p542 (forall @t537 (=> @t536 (=> @t162 (=> @t545 @t534))))) % 0.83/1.06 (assume @p543 (forall @t67 (=> @t457 (tptp.c_Orderings_Oord__class_Oless @t31 @t45 (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t453))))) % 0.83/1.06 (assume @p544 (forall @t67 (=> @t195 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t143) @t32)))) % 0.83/1.06 (assume @p545 (forall @t176 (=> @t195 (= @t225 (= @t518 @t32))))) % 0.83/1.06 (assume @p546 (forall @t67 (=> @t195 @t622))) % 0.83/1.06 (assume @p547 (forall @t67 (=> @t222 @t622))) % 0.83/1.06 (assume @p548 (forall @t141 (=> @t195 (=> (= @t513 @t32) (= @t143 @t55))))) % 0.83/1.06 (assume @p549 (forall @t115 (=> @t195 (= @t611 (= @t108 @t420))))) % 0.83/1.06 (assume @p550 (forall @t141 (=> @t195 @t623))) % 0.83/1.06 (assume @p551 (forall @t141 (=> @t222 @t623))) % 0.83/1.06 (assume @p552 (forall @t141 (=> @t195 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t142) @t513)))) % 0.83/1.06 (assume @p553 (forall @t67 (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t78) @t45)))) % 0.83/1.06 (assume @p554 (forall @t67 (=> @t34 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t78 @t45) @t45)))) % 0.83/1.06 (assume @p555 (forall @t624 (=> @t464 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint @t38 @t241))))) % 0.83/1.06 (assume @p556 (forall @t141 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t513) @t570)))) % 0.83/1.06 (assume @p557 (forall @t267 (= @t264 (exists @t470 (= @t263 (tptp.c_Nat_OSuc @t245)))))) % 0.83/1.06 (assume @p558 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t263 @t484) @t265))) % 0.83/1.06 (assume @p559 (forall @t299 (= @t563 (or @t626 (exists (@list @t625) (and (= @t268 (tptp.c_Nat_OSuc @t625)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t625 @t263))))))) % 0.83/1.06 (assume @p560 (forall @t294 (=> @t572 @t300))) % 0.83/1.06 (assume @p561 (forall @t299 (=> @t275 @t564))) % 0.83/1.06 (assume @p562 (forall @t294 (=> @t300 @t572))) % 0.83/1.06 (assume @p563 (forall @t294 (=> @t287 @t565))) % 0.83/1.06 (assume @p564 (forall @t299 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t560 @t263) @t269))) % 0.83/1.06 (assume @p565 (forall @t299 (= @t563 @t275))) % 0.83/1.06 (assume @p566 (forall @t270 (= @t336 @t575))) % 0.83/1.06 (assume @p567 (forall @t294 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282 @t476))) % 0.83/1.06 (assume @p568 (forall @t341 (=> @t295 (= @t576 (tptp.c_Nat_OSuc @t282))))) % 0.83/1.06 (assume @p569 (forall @t375 (= (= @t627 @t11) (= @t108 @t444)))) % 0.83/1.06 (assume @p570 (forall (@list @t171 @t68) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t68 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t171)) @t11) (= @t68 @t171)))) % 0.83/1.06 (assume @p571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t578)) % 0.83/1.06 (assume @p572 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 @t578)) % 0.83/1.06 (assume @p573 (forall (@list @t339 @t37) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t37 @t339) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t37 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t339))))) % 0.83/1.06 (assume @p574 (forall @t206 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t74) @t628))) % 0.83/1.06 (assume @p575 (forall @t206 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t628) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t74 @t542))))) % 0.83/1.06 (assume @p576 (forall @t447 (= (tptp.c_NthRoot_Osqrt @t587) @t591))) % 0.83/1.06 (assume @p577 (forall @t115 (=> @t42 (= (= @t629 @t32) @t610)))) % 0.83/1.06 (assume @p578 (forall @t242 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t478 @t630))) % 0.83/1.06 (assume @p579 (forall @t375 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t68 @t184) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t108 @t184)) @t11) @t631))) % 0.83/1.06 (assume @p580 (forall (@list @t74 @t471 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t591 @t473) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t592 @t473) @t632)))) % 0.83/1.06 (assume @p581 (forall @t248 (= @t247 (forall @t251 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t244 (tptp.hAPP @t2 @t468)))))) % 0.83/1.06 (assume @p582 (forall @t480 (= (= (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t479 @t184) @t68) @t378))) % 0.83/1.06 (assume @p583 (forall @t447 (=> @t601 (= @t633 @t38)))) % 0.83/1.06 (assume @p584 (forall @t452 (=> (= @t586 @t38) (=> @t634 (= @t494 @t74))))) % 0.83/1.06 (assume @p585 (forall @t447 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t633)))) % 0.83/1.06 (assume @p586 (forall (@list @t74 @t38 @t471) (=> @t474 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t635) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t74 @t635) (=> @t601 (=> @t634 @t632))))))) % 0.83/1.06 (assume @p587 (forall @t146 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t636)))) % 0.83/1.06 (assume @p588 (forall @t115 (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t629 @t32) @t610)))) % 0.83/1.06 (assume @p589 (forall @t146 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t636 @t32))))) % 0.83/1.06 (assume @p590 (forall @t115 (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t629) (or @t70 @t637))))) % 0.83/1.06 (assume @p591 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t508 @t11) @t265))) % 0.83/1.06 (assume @p592 (forall @t141 (=> @t606 (=> @t191 (=> @t612 @t614))))) % 0.83/1.06 (assume @p593 (forall @t141 (=> @t606 (=> @t318 @t616)))) % 0.83/1.06 (assume @p594 (forall @t163 (=> @t606 (=> @t191 (=> @t397 @t617))))) % 0.83/1.06 (assume @p595 (forall @t163 (=> @t606 (=> @t318 @t618)))) % 0.83/1.06 (assume @p596 (forall @t141 (=> @t606 (=> @t180 (=> @t605 @t619))))) % 0.83/1.06 (assume @p597 (forall @t141 (=> @t606 (=> @t332 @t621)))) % 0.83/1.06 (assume @p598 (forall @t177 (=> @t457 (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t638)))) % 0.83/1.06 (assume @p599 (forall @t54 (=> @t34 (= (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Int_OBit0 @t51)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 @t32 @t52) @t52))))) % 0.83/1.06 (assume @p600 (forall @t141 (=> @t159 (=> @t162 (tptp.c_Orderings_Oord__class_Oless @t31 @t45 @t639))))) % 0.83/1.06 (assume @p601 (forall @t141 (=> @t159 (=> @t162 (tptp.c_Orderings_Oord__class_Oless @t31 @t639 @t55))))) % 0.83/1.06 (assume @p602 (forall @t54 (=> @t34 (= @t640 (tptp.c_Groups_Oplus__class_Oplus @t31 @t600 @t52))))) % 0.83/1.06 (assume @p603 (forall @t141 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t240 @t570)))) % 0.83/1.06 (assume @p604 (forall @t537 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t582) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t580) (tptp.c_Groups_Oabs__class_Oabs @t31 @t579)))))) % 0.83/1.06 (assume @p605 (forall @t341 (=> @t295 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t282) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t503 @t478))))) % 0.83/1.06 (assume @p606 (forall @t141 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t140 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t57 @t56))))) % 0.83/1.06 (assume @p607 (forall @t242 (=> @t350 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t484)) @t241)))) % 0.83/1.06 (assume @p608 (forall (@list @t197 @t241) (=> @t350 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t567) @t241)))) % 0.83/1.06 (assume @p609 (forall @t624 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t38) @t241)))) % 0.83/1.06 (assume @p610 (forall @t141 (=> @t72 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t414 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t513))))) % 0.83/1.06 (assume @p611 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t627) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t444 @t108)))) % 0.83/1.06 (assume @p612 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t627 @t11) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t108 @t444)))) % 0.83/1.06 (assume @p613 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t627) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t444 @t108)))) % 0.83/1.06 (assume @p614 (forall @t375 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t627 @t11) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t108 @t444)))) % 0.83/1.06 (assume @p615 (forall @t447 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t591 @t442) @t38)))) % 0.83/1.06 (assume @p616 (= @t483 @t641)) % 0.83/1.06 (assume @p617 (= @t641 @t483)) % 0.83/1.06 (assume @p618 (forall (@list @t281 @t133 @t74 @t38) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t644 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t643 @t642))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t643)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t74 @t642)))))) % 0.83/1.06 (assume @p619 (= @t578 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t12))) % 0.83/1.06 (assume @p620 (forall @t645 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t578 @t376) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 @t376)))) % 0.83/1.06 (assume @p621 (forall @t647 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t82 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t376 @t578)) @t646))) % 0.83/1.06 (assume @p622 (forall @t645 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t376) @t578) (= @t376 @t81)))) % 0.83/1.06 (assume @p623 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t508) @t264))) % 0.83/1.06 (assume @p624 (= @t641 @t484)) % 0.83/1.06 (assume @p625 (= @t648 (tptp.c_Nat_OSuc @t497))) % 0.83/1.06 (assume @p626 (forall @t649 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t68) @t263)) (or (not (= @t68 @t81)) @t265)))) % 0.83/1.06 (assume @p627 (forall @t447 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t442 @t591)))) % 0.83/1.06 (assume @p628 (forall @t177 (=> @t650 (= (tptp.c_Power_Opower__class_Opower @t31 @t32 @t184) @t32)))) % 0.83/1.06 (assume @p629 (forall @t194 (=> @t652 (= (= @t651 @t32) @t192)))) % 0.83/1.06 (assume @p630 (forall @t177 (=> @t650 (= (tptp.c_Power_Opower__class_Opower @t31 @t453 @t184) @t453)))) % 0.83/1.06 (assume @p631 (forall @t67 (=> (tptp.class_Rings_Oring__1 @t31) (= (tptp.c_Power_Opower__class_Opower @t31 @t143 @t184) @t653)))) % 0.83/1.06 (assume @p632 (forall @t67 (=> @t42 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t653) @t653)))) % 0.83/1.06 (assume @p633 (forall @t67 (=> @t42 (= (tptp.c_Power_Opower__class_Opower @t31 @t151 @t184) @t653)))) % 0.83/1.06 (assume @p634 (forall @t177 (=> @t34 (= @t638 @t33)))) % 0.83/1.06 (assume @p635 (= @t497 @t184)) % 0.83/1.06 (assume @p636 (= @t184 @t497)) % 0.83/1.06 (assume @p637 (forall @t341 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t233 @t241) (= @t576 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t641)))))) % 0.83/1.06 (assume @p638 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 @t472)) % 0.83/1.06 (assume @p639 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t472)) % 0.83/1.06 (assume @p640 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t442 @t472)) % 0.83/1.06 (assume @p641 (forall @t67 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t653)))) % 0.83/1.06 (assume @p642 (forall @t146 (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t467 @t466) (=> @t465 @t328))))) % 0.83/1.06 (assume @p643 (forall @t146 (=> @t457 (=> (= @t467 @t466) (=> @t329 (=> @t465 @t205)))))) % 0.83/1.06 (assume @p644 (forall @t67 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t653 @t32))))) % 0.83/1.06 (assume @p645 (forall @t194 (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t651) @t193)))) % 0.83/1.06 (assume @p646 (forall @t194 (=> @t652 (= (= @t651 @t453) (or (= @t171 @t453) (= @t171 @t654)))))) % 0.83/1.06 (assume @p647 (forall @t242 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t241 @t184) (or @t351 (= @t241 @t484))))) % 0.83/1.06 (assume @p648 (forall @t242 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t630))) % 0.83/1.06 (assume @p649 (forall @t655 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t471 @t184)) @t587))) % 0.83/1.06 (assume @p650 (forall @t206 (=> @t552 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t656)))) % 0.83/1.06 (assume @p651 (forall @t206 (=> @t552 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t656 @t74)))) % 0.83/1.06 (assume @p652 (forall @t251 (exists @t434 (and @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430 @t469))))) % 0.83/1.06 (assume @p653 (exists (@list @t657) (forall @t6 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t658) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t8 @t658)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t442 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t3))))))))) % 0.83/1.06 (assume @p654 (forall @t267 (exists @t434 (and @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t442 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t562)))))))) % 0.83/1.06 (assume @p655 (forall @t206 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 @t589)) @t442))) % 0.83/1.06 (assume @p656 (forall (@list @t55 @t45) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t45 @t55) @t14) @t45) @t659))) % 0.83/1.06 (assume @p657 (forall @t647 (= @t660 (or @t646 (= @t82 @t376))))) % 0.83/1.06 (assume @p658 (forall @t242 (= @t475 @t661))) % 0.83/1.06 (assume @p659 (forall @t242 (= @t475 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t241)))) % 0.83/1.06 (assume @p660 (forall @t89 (= @t132 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t578 @t87) @t87)))) % 0.83/1.06 (assume @p661 (forall @t202 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t662 @t200) @t81)))) % 0.83/1.06 (assume @p662 (forall @t101 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t96) (exists @t251 (= @t96 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t243)))))) % 0.83/1.06 (assume @p663 (forall @t294 (= @t665 @t664))) % 0.83/1.06 (assume @p664 (forall @t294 (= @t666 @t664))) % 0.83/1.06 (assume @p665 (forall @t294 (= @t666 @t665))) % 0.83/1.06 (assume @p666 (forall @t368 (= @t668 @t667))) % 0.83/1.06 (assume @p667 (forall @t559 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t74 @t200)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t74 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t200))))) % 0.83/1.06 (assume @p668 (forall @t672 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t671 @t670) @t669) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t671 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t670 @t669))))) % 0.83/1.06 (assume @p669 (forall @t242 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t185 @t241) @t241))) % 0.83/1.06 (assume @p670 (forall @t333 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t185) @t281))) % 0.83/1.06 (assume @p671 (forall @t299 (= (= @t673 @t185) (and @t626 @t265)))) % 0.83/1.06 (assume @p672 (forall @t294 (=> (= @t663 @t281) @t351))) % 0.83/1.06 (assume @p673 (forall @t202 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t81 @t200) @t200))) % 0.83/1.06 (assume @p674 (forall @t202 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t200 @t81) @t200))) % 0.83/1.06 (assume @p675 (forall @t89 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t87) @t87))) % 0.83/1.06 (assume @p676 (forall @t89 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 tptp.c_Int_OPls) @t87))) % 0.83/1.06 (assume @p677 (forall @t89 (= @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 @t87)))) % 0.83/1.06 (assume @p678 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t136) (tptp.c_Int_OBit0 @t674)))) % 0.83/1.06 (assume @p679 (forall @t677 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t200) @t676))) % 0.83/1.06 (assume @p680 (forall @t559 (=> @t342 @t676))) % 0.83/1.06 (assume @p681 (forall (@list @t291 @t197) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t678 @t197)))) % 0.83/1.06 (assume @p682 (forall (@list @t197 @t291) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t679 @t197)))) % 0.83/1.06 (assume @p683 (forall @t280 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t681 @t680) @t269))) % 0.83/1.06 (assume @p684 (forall @t683 (=> @t568 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t682)))) % 0.83/1.06 (assume @p685 (forall @t683 (=> @t568 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t684)))) % 0.83/1.06 (assume @p686 (forall @t293 (=> @t568 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t685)))) % 0.83/1.06 (assume @p687 (forall @t689 (=> @t568 (=> @t688 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t687))))) % 0.83/1.06 (assume @p688 (forall (@list @t241 @t281 @t133 @t87) (=> @t688 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t133) @t690) @t300)))) % 0.83/1.06 (assume @p689 (forall @t293 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t678 @t87) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t87)))) % 0.83/1.06 (assume @p690 (forall @t293 (=> @t369 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 @t291))))) % 0.83/1.06 (assume @p691 (forall @t293 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t197 @t291) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t197 @t87) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t291 @t87))))) % 0.83/1.06 (assume @p692 (forall @t559 (=> @t354 @t691))) % 0.83/1.06 (assume @p693 (forall @t677 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t200) @t691))) % 0.83/1.06 (assume @p694 (forall @t694 (=> @t693 (not (=> @t287 (not @t283)))))) % 0.83/1.06 (assume @p695 (forall @t694 (=> @t693 @t287))) % 0.83/1.06 (assume @p696 (forall @t694 (=> @t693 @t283))) % 0.83/1.06 (assume @p697 (forall @t689 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t133) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t687))))) % 0.83/1.06 (assume @p698 (forall @t293 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t685)))) % 0.83/1.06 (assume @p699 (forall @t683 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t684)))) % 0.83/1.06 (assume @p700 (forall @t683 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t682)))) % 0.83/1.06 (assume @p701 (forall @t280 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t681 @t680) @t275))) % 0.83/1.06 (assume @p702 (forall @t299 (= @t275 (exists @t697 (= @t263 @t696))))) % 0.83/1.06 (assume @p703 (forall @t341 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241 @t698))) % 0.83/1.06 (assume @p704 (forall @t341 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t241 @t663))) % 0.83/1.06 (assume @p705 (forall @t700 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t699 @t203) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t498)))) % 0.83/1.06 (assume @p706 (forall @t694 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t692 @t701) @t282))) % 0.83/1.06 (assume @p707 (forall @t284 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t702 @t690) @t282))) % 0.83/1.06 (assume @p708 (forall @t293 (= @t292 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t197 @t685)))) % 0.83/1.06 (assume @p709 (forall @t341 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t698 @t241) @t281))) % 0.83/1.06 (assume @p710 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t663 @t241) @t281))) % 0.83/1.06 (assume @p711 (forall @t273 (=> @t549 (= (tptp.c_Groups_Oplus__class_Oplus @t255 @t260 @t257) @t257)))) % 0.83/1.06 (assume @p712 (forall @t274 (=> @t549 (= (tptp.c_Groups_Oplus__class_Oplus @t255 @t253 @t260) @t253)))) % 0.83/1.06 (assume @p713 (forall @t368 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t668) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t201 @t125)))) % 0.83/1.06 (assume @p714 (forall @t206 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t38 @t74) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t38 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t74))))) % 0.83/1.06 (assume @p715 (forall (@list @t703 @t119) (and (=> @t707 (= @t705 @t704)) (=> (not @t707) (and (=> @t706 (= @t705 @t604)) (=> (not @t706) (= @t705 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t703))))))))) % 0.83/1.06 (assume @p716 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t132 @t136) @t708))) % 0.83/1.06 (assume @p717 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t134) @t708))) % 0.83/1.06 (assume @p718 (forall @t299 (= (= @t484 @t673) @t709))) % 0.83/1.06 (assume @p719 (forall @t299 (= (= @t673 @t484) @t709))) % 0.83/1.06 (assume @p720 (forall @t299 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t673) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t268) @t264)))) % 0.83/1.06 (assume @p721 (forall @t206 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t74)))))) % 0.83/1.06 (assume @p722 (forall @t299 (= @t269 (exists @t697 (= @t263 (tptp.c_Nat_OSuc @t696)))))) % 0.83/1.06 (assume @p723 (forall @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t197))))) % 0.83/1.06 (assume @p724 (forall @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t281))))) % 0.83/1.06 (assume @p725 (forall @t645 (= (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 @t578 @t376) @t376) @t81) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t376 @t81)))) % 0.83/1.06 (assume @p726 (forall (@list @t200 @t711 @t51 @t712) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t712 @t51) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t711 @t200) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t712 @t711) @t667))))) % 0.83/1.06 (assume @p727 (forall @t647 (= @t660 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t82 @t376)))) % 0.83/1.06 (assume @p728 (forall @t647 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 @t578) @t376) @t646))) % 0.83/1.06 (assume @p729 (forall @t713 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t200) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 @t578) @t200)))) % 0.83/1.06 (assume @p730 (forall @t341 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t698) @t185))) % 0.83/1.06 (assume @p731 (forall @t294 (=> @t569 @t714))) % 0.83/1.06 (assume @p732 (forall @t719 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t716 @t718) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t717 @t715)))) % 0.83/1.06 (assume @p733 (forall @t724 (=> @t723 (= @t722 @t721)))) % 0.83/1.06 (assume @p734 (forall @t724 (=> @t723 (= @t721 @t722)))) % 0.83/1.06 (assume @p735 (forall @t724 (=> @t723 (= @t726 @t725)))) % 0.83/1.06 (assume @p736 (forall @t719 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t716 @t715) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t715 @t716) @t97) (= @t715 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t716)))))) % 0.83/1.06 (assume @p737 (forall @t341 (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t282 @t241) @t281)))) % 0.83/1.06 (assume @p738 (forall (@list @t716 @t715 @t97) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t715) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t716 @t718) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t717 @t715))))) % 0.83/1.06 (assume @p739 (forall @t724 (=> @t723 (= @t725 @t726)))) % 0.83/1.06 (assume @p740 (forall @t341 (=> @t295 @t714))) % 0.83/1.06 (assume @p741 (forall (@list @t281 @t241 @t87) (=> @t283 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t281 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t698 @t87))))) % 0.83/1.06 (assume @p742 (forall (@list @t716 @t97 @t715) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t718 @t716) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t715 @t717)))) % 0.83/1.06 (assume @p743 (forall @t724 (=> @t723 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t197 @t720) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t686 @t291))))) % 0.83/1.06 (assume @p744 (forall @t202 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t201 @t200) @t81))) % 0.83/1.06 (assume @p745 (forall @t294 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t663) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t503 @t478)))) % 0.83/1.06 (assume @p746 (forall @t368 (= @t728 @t727))) % 0.83/1.06 (assume @p747 (forall @t368 (= @t727 @t728))) % 0.83/1.06 (assume @p748 (forall @t122 (=> @t34 (= @t121 @t584)))) % 0.83/1.06 (assume @p749 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t200) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 @t662)))) % 0.83/1.06 (assume @p750 (forall @t294 (and (=> @t729 (= @t663 @t241)) (=> (not @t729) (= @t663 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t485 @t241))))))) % 0.83/1.06 (assume @p751 (forall @t735 (= @t734 (and (=> @t733 @t732) (forall @t28 (=> @t731 @t730)))))) % 0.83/1.06 (assume @p752 (forall @t735 (= @t734 (not (or (and @t733 (not @t732)) (exists @t28 (and @t731 (not @t730)))))))) % 0.83/1.06 (assume @p753 (forall @t738 (=> @t723 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t737) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t692 @t736))))) % 0.83/1.06 (assume @p754 (forall @t738 (=> @t723 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t737 @t281) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t736 @t702))))) % 0.83/1.06 (assume @p755 (forall @t713 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t51) (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 @t51 @t200)) @t424)))) % 0.83/1.06 (assume @p756 (forall @t739 (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 @t55 @t45)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t55)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t45)))) % 0.83/1.06 (assume @p757 (forall @t700 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t699 @t203) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t583)))) % 0.83/1.06 (assume @p758 (forall @t242 (= (tptp.c_Nat_OSuc @t740) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t648 @t241)))) % 0.83/1.06 (assume @p759 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t483) @t184)) % 0.83/1.06 (assume @p760 (forall @t242 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t241) @t740))) % 0.83/1.06 (assume @p761 (forall @t242 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t184) @t740))) % 0.83/1.06 (assume @p762 (forall @t599 (=> @t34 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t120 @t453) (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t741)))))) % 0.83/1.06 (assume @p763 (forall @t54 (=> @t34 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t453 @t52) (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t125)))))) % 0.83/1.06 (assume @p764 (forall @t742 (=> @t222 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t523 @t533) (tptp.c_Groups_Oplus__class_Oplus @t31 @t139 (tptp.c_Groups_Ominus__class_Ominus @t31 @t153 @t532)))))) % 0.83/1.06 (assume @p765 (forall @t447 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t591 @t442) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t587 @t442)))) % 0.83/1.06 (assume @p766 (forall @t739 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t55 @t45) @t14) @t45) @t659))) % 0.83/1.06 (assume @p767 (forall @t447 (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t422) (or (= @t38 @t81) (= @t38 @t578)))))) % 0.83/1.06 (assume @p768 (forall @t447 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t743 @t743) @t38))) % 0.83/1.06 (assume @p769 (forall @t747 (=> @t457 (=> @t162 (=> @t318 (=> @t350 @t746)))))) % 0.83/1.06 (assume @p770 (forall @t294 (= @t663 @t698))) % 0.83/1.06 (assume @p771 (forall @t559 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t675) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t74 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t200))))) % 0.83/1.06 (assume @p772 (forall @t577 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t663 @t87) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t701)))) % 0.83/1.06 (assume @p773 (forall @t280 (= (= @t681 @t680) @t285))) % 0.83/1.06 (assume @p774 (forall (@list @t263 @t97 @t268) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t97) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t263 @t97)) @t285))) % 0.83/1.06 (assume @p775 (forall @t748 (=> @t652 (=> @t461 (not (= @t745 @t32)))))) % 0.83/1.06 (assume @p776 (forall @t750 (=> @t749 (= (tptp.c_Power_Opower__class_Opower @t31 @t453 @t241) @t453)))) % 0.83/1.06 (assume @p777 (forall @t747 (=> @t79 @t751))) % 0.83/1.06 (assume @p778 (forall @t748 (=> @t42 (= @t753 @t752)))) % 0.83/1.06 (assume @p779 (forall @t67 (=> @t749 (= (tptp.c_Power_Opower__class_Opower @t31 @t45 @t483) @t45)))) % 0.83/1.06 (assume @p780 (forall @t747 (=> @t457 (=> @t305 (=> @t318 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t745 @t744)))))) % 0.83/1.06 (assume @p781 (forall @t748 (=> @t457 (=> @t318 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t745))))) % 0.83/1.06 (assume @p782 (forall @t748 (=> @t457 (=> @t191 (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t745))))) % 0.83/1.06 (assume @p783 (forall @t748 (=> @t457 (=> @t754 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t745))))) % 0.83/1.06 (assume @p784 (forall (@list @t263 @t171 @t31) (=> @t759 (= (= @t755 @t32) (and @t192 @t266))))) % 0.83/1.06 (assume @p785 (forall (@list @t263 @t268 @t171 @t31) (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t171) (= (= (tptp.c_Power_Opower__class_Opower @t31 @t171 @t268) @t755) @t285))))) % 0.83/1.06 (assume @p786 (forall @t750 (=> @t760 (= (tptp.c_Power_Opower__class_Opower @t31 @t32 @t475) @t32)))) % 0.83/1.06 (assume @p787 (forall (@list @t241 @t45 @t55 @t31) (=> @t65 (=> @t61 @t751)))) % 0.83/1.06 (assume @p788 (forall @t67 (=> @t758 (= (tptp.c_Power_Opower__class_Opower @t31 @t45 @t185) @t453)))) % 0.83/1.06 (assume @p789 (forall @t748 (=> @t79 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t453 @t745) (tptp.c_Power_Opower__class_Opower @t31 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t453 @t45) @t241))))) % 0.83/1.06 (assume @p790 (forall @t447 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t497) (or (= @t38 @t185) (= @t38 @t484))))) % 0.83/1.06 (assume @p791 (forall @t748 (=> @t42 (= (tptp.c_Groups_Oabs__class_Oabs @t31 (tptp.c_Power_Opower__class_Opower @t31 @t143 @t241)) @t753)))) % 0.83/1.06 (assume @p792 (forall (@list @t268 @t68) (= (= (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t68 @t268) @t484) (or @t626 (= @t68 @t484))))) % 0.83/1.06 (assume @p793 (forall @t242 (= (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t484 @t241) @t484))) % 0.83/1.06 (assume @p794 (forall @t649 (= @t762 (or @t761 @t265)))) % 0.83/1.06 (assume @p795 (forall @t649 (= @t762 (or @t265 @t761)))) % 0.83/1.06 (assume @p796 (forall (@list @t241 @t281 @t197) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t197) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t197 @t281) @t763) @t300)))) % 0.83/1.06 (assume @p797 (forall @t764 (=> @t457 (=> @t746 (=> @t612 @t162))))) % 0.83/1.06 (assume @p798 (forall @t764 (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t766 @t765) (=> @t612 @t305))))) % 0.83/1.06 (assume @p799 (forall @t764 (=> @t457 (=> (= @t766 @t765) (=> @t318 (=> @t612 @t396)))))) % 0.83/1.06 (assume @p800 (forall @t750 (=> @t760 (and (=> @t351 (= @t767 @t453)) (=> @t352 (= @t767 @t32)))))) % 0.83/1.06 (assume @p801 (forall @t748 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t752)))) % 0.83/1.06 (assume @p802 (forall @t748 (=> @t457 (=> @t768 (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t766))))) % 0.83/1.06 (assume @p803 (forall (@list @t30 @t171 @t68 @t31) (=> @t42 (= (tptp.c_Orderings_Oord__class_Oless @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t68 @t171)) @t30) (and (tptp.c_Orderings_Oord__class_Oless @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t171 @t30) @t68) (tptp.c_Orderings_Oord__class_Oless @t31 @t68 (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t30))))))) % 0.83/1.06 (assume @p804 (forall @t772 (=> @t457 (=> @t771 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t770 @t769) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t68 @t108)))))) % 0.83/1.06 (assume @p805 (forall @t774 (=> @t457 (=> @t768 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t773 @t745) @t300))))) % 0.83/1.06 (assume @p806 (forall @t778 (=> @t457 (=> @t777 (=> @t768 (tptp.c_Orderings_Oord__class_Oless @t31 @t745 @t776)))))) % 0.83/1.06 (assume @p807 (forall @t778 (=> @t457 (=> @t779 (=> @t754 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t745 @t776)))))) % 0.83/1.06 (assume @p808 (forall (@list @t82 @t171 @t31) (=> @t759 (= (= (tptp.c_Power_Opower__class_Opower @t31 @t171 @t780) @t32) (and @t192 (not @t781)))))) % 0.83/1.06 (assume @p809 (forall @t286 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t197) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t763)))) % 0.83/1.06 (assume @p810 (forall (@list @t82 @t68) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat @t68 @t780)) (or @t781 @t761)))) % 0.83/1.06 (assume @p811 (forall @t748 (=> @t457 (=> @t191 (=> @t782 (tptp.c_Orderings_Oord__class_Oless @t31 @t766 @t453)))))) % 0.83/1.06 (assume @p812 (forall @t778 (=> @t457 (=> @t777 (=> @t191 (=> @t782 (tptp.c_Orderings_Oord__class_Oless @t31 @t776 @t745))))))) % 0.83/1.06 (assume @p813 (forall @t764 (=> @t457 (=> (= @t745 @t744) (=> @t318 (=> @t612 (=> @t350 @t396))))))) % 0.83/1.06 (assume @p814 (forall @t778 (=> @t457 (=> @t779 (=> @t318 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t45 @t453) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t776 @t745))))))) % 0.83/1.06 (assume @p815 (forall @t774 (=> @t457 (=> @t768 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t773 @t745) @t287))))) % 0.83/1.06 (assume @p816 (forall @t772 (=> @t457 (=> @t771 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t770 @t769) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t108)))))) % 0.83/1.06 (assume @p817 (forall @t748 (=> @t457 (=> @t768 (=> @t350 (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t745)))))) % 0.83/1.06 (assume @p818 (forall @t54 (=> @t760 (and (=> @t785 (= @t784 @t453)) (=> (not @t785) (= @t784 @t32)))))) % 0.83/1.06 (assume @p819 (forall (@list @t281 @t241 @t45 @t31) (=> @t65 (=> @t461 (=> @t295 (= (tptp.c_Power_Opower__class_Opower @t31 @t45 @t282) (tptp.c_Rings_Oinverse__class_Odivide @t31 @t773 @t745))))))) % 0.83/1.06 (assume @p820 (forall @t202 (= (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt @t200) @t184) @t200))) % 0.83/1.06 (assume @p821 (forall @t44 (=> @t455 (= (tptp.c_Power_Opower__class_Opower @t31 @t38 @t185) @t453)))) % 0.83/1.06 (assume @p822 (forall (@list @t153 @t45 @t31) (=> @t455 (= @t523 @t525)))) % 0.83/1.06 (assume @p823 (forall @t787 (=> @t455 (= @t786 (tptp.c_Groups_Oplus__class_Oplus @t31 @t153 (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t532)))))) % 0.83/1.06 (assume @p824 (forall @t787 (=> @t455 (= @t786 (tptp.c_Groups_Oplus__class_Oplus @t31 @t523 @t532))))) % 0.83/1.06 (assume @p825 (forall @t163 (=> @t455 @t515))) % 0.83/1.06 (assume @p826 (forall @t163 (=> @t455 (= @t514 (tptp.c_Groups_Oplus__class_Oplus @t31 @t523 @t55))))) % 0.83/1.06 (assume @p827 (forall @t537 (=> @t455 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t513 @t581) (tptp.c_Groups_Oplus__class_Oplus @t31 @t523 @t533))))) % 0.83/1.06 (assume @p828 (forall @t236 (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t31) (= (= @t169 @t522) @t192)))) % 0.83/1.06 (assume @p829 (forall @t67 (=> @t455 @t548))) % 0.83/1.06 (assume @p830 (forall @t67 (=> @t455 @t551))) % 0.83/1.06 (assume @p831 (forall @t44 (=> @t455 (= (tptp.c_Power_Opower__class_Opower @t31 @t38 @t483) @t38)))) % 0.83/1.06 (assume @p832 (forall @t146 (=> @t788 (= @t130 (tptp.c_Groups_Oplus__class_Oplus @t31 @t38 @t361))))) % 0.83/1.06 (assume @p833 (forall @t73 (=> @t34 (= (= @t111 @t453) (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t741))))))) % 0.83/1.06 (assume @p834 (forall @t178 (=> @t34 (= (= @t453 @t110) (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t789))))))) % 0.83/1.06 (assume @p835 (forall (@list @t376 @t31) (=> @t650 (= (tptp.c_Int_Oiszero @t31 @t376) @t790)))) % 0.83/1.06 (assume @p836 (forall @t177 (=> @t650 (tptp.c_Int_Oiszero @t31 @t32)))) % 0.83/1.06 (assume @p837 (forall @t177 (=> @t650 (not (tptp.c_Int_Oiszero @t31 @t453))))) % 0.83/1.06 (assume @p838 (forall @t54 (=> @t114 (not (tptp.c_Int_Oiszero @t31 @t640))))) % 0.83/1.06 (assume @p839 (forall @t177 (=> @t34 (tptp.c_Int_Oiszero @t31 @t78)))) % 0.83/1.06 (assume @p840 (forall (@list @t82 @t31) (=> @t114 (= (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 @t84)) (tptp.c_Int_Oiszero @t31 @t116))))) % 0.83/1.06 (assume @p841 (forall @t177 (=> @t34 (not (tptp.c_Int_Oiszero @t31 @t64))))) % 0.83/1.06 (assume @p842 (forall @t115 (=> @t34 (= @t112 (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t789))))))) % 0.83/1.06 (assume @p843 (forall @t178 (=> @t34 (= (= @t32 @t110) (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t789))))))) % 0.83/1.06 (assume @p844 (forall @t73 (=> @t34 (= (= @t111 @t32) (tptp.c_Int_Oiszero @t31 (tptp.c_Int_Onumber__class_Onumber__of @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t86))))))) % 0.83/1.06 (assume @p845 (forall (@list @t38 @t241) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t478 @t38) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t481) (= (tptp.c_RComplete_Onatceiling @t38) @t661))))) % 0.83/1.06 (assume @p846 (forall (@list @t127 @t791 @t74 @t38) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t11 (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t588 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t791 @t184) (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal @t127 @t184))))))) % 0.83/1.06 (assume @p847 (forall @t796 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 (tptp.c_Groups_Oplus__class_Oplus @t31 @t55 @t792)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t794 @t793))))) % 0.83/1.06 (assume @p848 (forall @t799 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t791 @t491) (tptp.c_Groups_Oplus__class_Oplus @t31 @t798 @t797))))) % 0.83/1.06 (assume @p849 (forall @t802 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 @t45 @t800) @t55) (tptp.c_Groups_Oplus__class_Oplus @t31 @t794 @t801))))) % 0.83/1.06 (assume @p850 (forall @t131 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t491 @t127) (tptp.c_Groups_Oplus__class_Oplus @t31 @t804 @t803))))) % 0.83/1.06 (assume @p851 (forall @t163 (=> (tptp.class_Rings_Ocomm__semiring @t31) (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t513 @t153) (tptp.c_Groups_Oplus__class_Oplus @t31 @t806 @t805))))) % 0.83/1.06 (assume @p852 (forall (@list @t153 @t55 @t355 @t45 @t31) (=> (tptp.class_Rings_Osemiring @t31) (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t355) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t55 @t355) @t153)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t513 @t355) @t153))))) % 0.83/1.06 (assume @p853 (forall (@list @t51 @t670 @t671) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t671 @t670) @t51) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t671 @t51) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t670 @t51))))) % 0.83/1.06 (assume @p854 (forall @t115 (=> @t808 (= (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t807 (tptp.c_Groups_Otimes__class_Otimes @t31 @t108 @t108)) @t32) @t610)))) % 0.83/1.06 (assume @p855 (forall @t146 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t145 @t74) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t809))))) % 0.83/1.06 (assume @p856 (forall @t141 (=> @t795 (= @t811 @t810)))) % 0.83/1.06 (assume @p857 (forall (@list @t38 @t791 @t31) (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t791 @t145) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t798))))) % 0.83/1.06 (assume @p858 (forall @t141 (=> @t795 (= @t812 @t810)))) % 0.83/1.06 (assume @p859 (forall @t176 (=> @t346 (= (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t171 @t171) (tptp.c_Groups_Otimes__class_Otimes @t31 @t169 @t169)) (or @t219 @t225))))) % 0.83/1.06 (assume @p860 (forall @t141 (=> @t813 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t143 @t142) @t794)))) % 0.83/1.06 (assume @p861 (forall @t141 (=> @t813 (= @t811 @t812)))) % 0.83/1.06 (assume @p862 (forall @t141 (=> @t813 (= @t810 @t811)))) % 0.83/1.06 (assume @p863 (forall @t141 (=> @t813 (= @t810 @t812)))) % 0.83/1.06 (assume @p864 (forall @t242 (= (tptp.c_RComplete_Onatceiling @t478) @t241))) % 0.83/1.06 (assume @p865 (forall (@list @t241 @t281 @t31) (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t281) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t241) (tptp.c_Orderings_Oord__class_Oless @t31 @t453 (tptp.c_Groups_Otimes__class_Otimes @t31 @t281 @t241))))))) % 0.83/1.06 (assume @p866 (forall @t819 (=> @t818 (= (tptp.c_Groups_Otimes__class_Otimes @t383 @t814 (tptp.c_Groups_Oplus__class_Oplus @t383 @t55 @t153)) (tptp.c_Groups_Oplus__class_Oplus @t383 @t816 @t815))))) % 0.83/1.06 (assume @p867 (forall @t822 (=> @t818 (= (tptp.c_Groups_Otimes__class_Otimes @t383 (tptp.c_Groups_Oplus__class_Oplus @t383 @t45 @t55) @t814) (tptp.c_Groups_Oplus__class_Oplus @t383 @t821 @t820))))) % 0.83/1.06 (assume @p868 (forall @t827 (=> @t813 (= @t826 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t825) @t824))))) % 0.83/1.06 (assume @p869 (forall @t827 (=> @t795 (= @t826 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t823 @t825) @t824) (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t825)))))) % 0.83/1.06 (assume @p870 (forall @t830 (=> @t813 (= @t829 (= @t218 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t169 @t171) @t828) @t217)))))) % 0.83/1.06 (assume @p871 (forall @t830 (=> @t813 (= @t829 (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t220 @t828) @t218) @t217))))) % 0.83/1.06 (assume @p872 (forall @t819 (=> @t831 (= (tptp.c_Groups_Otimes__class_Otimes @t383 @t814 (tptp.c_Groups_Ominus__class_Ominus @t383 @t55 @t153)) (tptp.c_Groups_Ominus__class_Ominus @t383 @t816 @t815))))) % 0.83/1.06 (assume @p873 (forall @t822 (=> @t831 (= (tptp.c_Groups_Otimes__class_Otimes @t383 (tptp.c_Groups_Ominus__class_Ominus @t383 @t45 @t55) @t814) (tptp.c_Groups_Ominus__class_Ominus @t383 @t821 @t820))))) % 0.83/1.06 (assume @p874 (forall @t539 (=> @t190 (=> @t837 (= @t835 @t833))))) % 0.83/1.06 (assume @p875 (forall (@list @t171 @t169 @t218 @t31) (=> @t190 (=> @t837 (= @t839 @t838))))) % 0.83/1.06 (assume @p876 (forall @t608 (=> @t190 (=> @t840 (=> (= @t55 @t806) (= @t154 @t45)))))) % 0.83/1.06 (assume @p877 (forall @t529 (=> @t190 (=> @t840 (=> (= @t806 @t55) (= @t45 @t154)))))) % 0.83/1.06 (assume @p878 (forall @t520 (=> @t79 (= @t835 (and (=> @t837 @t833) @t841))))) % 0.83/1.06 (assume @p879 (forall (@list @t171 @t218 @t169 @t31) (=> @t79 (= @t839 (and (=> @t837 @t838) @t841))))) % 0.83/1.06 (assume @p880 (forall @t529 (=> @t79 (=> @t840 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t806 @t805) @t58))))) % 0.83/1.06 (assume @p881 (forall @t529 (=> @t79 (=> @t840 (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t843 @t842) @t58))))) % 0.83/1.06 (assume @p882 (forall (@list @t82 @t68 @t376 @t108 @t31) (=> @t65 (=> @t637 (=> (not @t790) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t31 @t68 @t108) (tptp.c_Rings_Oinverse__class_Odivide @t31 @t82 @t376)) (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t68 @t376) (tptp.c_Groups_Otimes__class_Otimes @t31 @t82 @t108)))))))) % 0.83/1.06 (assume @p883 (forall @t73 (=> @t652 (= (= @t807 @t453) (or @t454 (= @t68 @t654)))))) % 0.83/1.06 (assume @p884 (forall @t742 (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t151 @t153) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t150 @t532) (tptp.c_Orderings_Oord__class_Oless @t31 @t844 (tptp.c_Groups_Otimes__class_Otimes @t31 @t153 @t532))))))) % 0.83/1.06 (assume @p885 (forall @t480 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t845)) @t500))) % 0.83/1.06 (assume @p886 (forall (@list @t108 @t68 @t376) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t376) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t68 @t376) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t108 @t376)) @t374)))) % 0.83/1.06 (assume @p887 (forall @t206 (=> @t603 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t74) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t846))))) % 0.83/1.06 (assume @p888 (forall (@list @t74 @t38 @t200) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t200) (=> @t552 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t200 @t38) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t200 @t74)))))) % 0.83/1.06 (assume @p889 (forall @t375 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t845 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t108 @t108)) @t11) @t631))) % 0.83/1.06 (assume @p890 (forall @t655 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t471 @t471)) @t847))) % 0.83/1.06 (assume @p891 (forall (@list @t169 @t171 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t848 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t850 @t171)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t849 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t850 @t169))))) % 0.83/1.06 (assume @p892 (forall @t447 (= (tptp.c_NthRoot_Osqrt @t847) @t591))) % 0.83/1.06 (assume @p893 (forall @t796 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 (tptp.c_Groups_Ominus__class_Ominus @t31 @t55 @t792)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t794 @t793))))) % 0.83/1.06 (assume @p894 (forall @t799 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t791 @t130) (tptp.c_Groups_Ominus__class_Ominus @t31 @t798 @t797))))) % 0.83/1.06 (assume @p895 (forall @t802 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t45 @t800) @t55) (tptp.c_Groups_Ominus__class_Ominus @t31 @t794 @t801))))) % 0.83/1.06 (assume @p896 (forall @t131 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t130 @t127) (tptp.c_Groups_Ominus__class_Ominus @t31 @t804 @t803))))) % 0.83/1.06 (assume @p897 (forall @t163 (=> @t190 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t154) (tptp.c_Rings_Oinverse__class_Odivide @t31 @t794 @t153))))) % 0.83/1.06 (assume @p898 (forall (@list @t51 @t200 @t74 @t38 @t31) (=> @t79 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t75 (tptp.c_Rings_Oinverse__class_Odivide @t31 @t200 @t51)) (tptp.c_Rings_Oinverse__class_Odivide @t31 (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t200) (tptp.c_Groups_Otimes__class_Otimes @t31 @t74 @t51)))))) % 0.83/1.06 (assume @p899 (forall @t852 (=> @t851 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t171 @t218) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t169 @t218)) @t219)))) % 0.83/1.06 (assume @p900 (forall @t852 (=> @t851 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t218 @t171) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t218 @t169)) @t219)))) % 0.83/1.06 (assume @p901 (forall @t141 (=> @t42 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t794) @t844)))) % 0.83/1.06 (assume @p902 (forall @t67 (=> @t42 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t151 @t151) @t853)))) % 0.83/1.06 (assume @p903 (forall @t555 (=> @t795 (=> @t554 (=> @t553 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t854 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t37 @t339))))))) % 0.83/1.06 (assume @p904 (forall @t141 (=> @t855 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t794) @t794)))) % 0.83/1.06 (assume @p905 (forall @t44 (=> @t855 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t38) @t38)))) % 0.83/1.06 (assume @p906 (forall @t67 (=> @t855 (= @t853 @t45)))) % 0.83/1.06 (assume @p907 (forall @t163 (=> (tptp.class_Groups_Oab__semigroup__mult @t31) (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t794 @t153) (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t805))))) % 0.83/1.06 (assume @p908 (forall @t511 (=> @t34 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t120 (tptp.c_Groups_Otimes__class_Otimes @t31 @t52 @t200)) (tptp.c_Groups_Otimes__class_Otimes @t31 @t856 @t200))))) % 0.83/1.06 (assume @p909 (forall @t122 (=> @t34 (= @t857 @t856)))) % 0.83/1.06 (assume @p910 (forall @t122 (=> @t34 (= @t856 @t857)))) % 0.83/1.06 (assume @p911 (forall @t146 (=> @t509 (= @t854 @t858)))) % 0.83/1.06 (assume @p912 (forall @t672 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t671 @t670) @t669) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t671 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t670 @t669))))) % 0.83/1.06 (assume @p913 (forall @t368 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t200 @t51) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t51 @t200)))) % 0.83/1.06 (assume @p914 (forall @t259 (=> @t262 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.c_Groups_Otimes__class_Otimes @t255 @t253 @t257)) @t38) (tptp.c_Groups_Otimes__class_Otimes @t31 @t254 @t258))))) % 0.83/1.06 (assume @p915 (forall @t146 (=> @t795 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t854 @t858)))) % 0.83/1.06 (assume @p916 (forall @t67 (=> @t757 @t859))) % 0.83/1.06 (assume @p917 (forall @t67 (=> @t757 @t860))) % 0.83/1.06 (assume @p918 (forall @t176 (=> (tptp.class_Rings_Oring__no__zero__divisors @t31) (= (= @t861 @t32) (or @t192 @t458))))) % 0.83/1.06 (assume @p919 (forall @t141 (=> @t756 (=> @t461 (=> @t61 (not @t862)))))) % 0.83/1.06 (assume @p920 (forall @t141 (=> @t756 (=> @t862 (or @t460 @t60))))) % 0.83/1.06 (assume @p921 (forall (@list @t55 @t31) (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t32 @t55) @t32)))) % 0.83/1.06 (assume @p922 (forall @t123 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t32 @t74) @t32)))) % 0.83/1.06 (assume @p923 (forall @t67 (=> @t795 @t860))) % 0.83/1.06 (assume @p924 (forall @t44 (=> @t795 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t38 @t32) @t32)))) % 0.83/1.06 (assume @p925 (forall @t67 (=> @t863 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t853 @t32))))) % 0.83/1.06 (assume @p926 (forall @t541 (=> @t808 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t832 (tptp.c_Groups_Otimes__class_Otimes @t31 @t169 @t218)) @t867)))) % 0.83/1.06 (assume @p927 (forall @t539 (=> @t808 (= @t868 @t867)))) % 0.83/1.06 (assume @p928 (forall @t539 (=> @t808 (=> @t866 (= @t868 @t188))))) % 0.83/1.06 (assume @p929 (forall @t141 (=> @t870 (=> @t191 (=> @t615 @t869))))) % 0.83/1.06 (assume @p930 (forall @t141 (=> @t870 (=> @t191 (=> @t620 @t871))))) % 0.83/1.06 (assume @p931 (forall @t141 (=> @t870 (=> @t191 (=> @t620 (tptp.c_Orderings_Oord__class_Oless @t31 @t872 @t32)))))) % 0.83/1.06 (assume @p932 (forall @t141 (=> @t870 (=> @t869 @t873)))) % 0.83/1.06 (assume @p933 (forall @t63 (=> @t870 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t32 @t872) @t873)))) % 0.83/1.06 (assume @p934 (forall @t539 (=> @t808 (=> @t865 (= @t868 @t864))))) % 0.83/1.06 (assume @p935 (forall @t141 (=> @t870 (=> @t180 (=> @t615 @t871))))) % 0.83/1.06 (assume @p936 (forall @t141 (=> @t808 (=> @t180 (=> @t620 @t869))))) % 0.83/1.06 (assume @p937 (forall @t163 (=> @t870 (=> @t162 (=> @t161 @t874))))) % 0.83/1.06 (assume @p938 (forall @t163 (=> @t870 @t876))) % 0.83/1.06 (assume @p939 (forall @t163 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t31) @t876))) % 0.83/1.06 (assume @p940 (forall @t160 (=> @t808 (=> @t158 (=> @t157 @t874))))) % 0.83/1.06 (assume @p941 (forall @t160 (=> @t808 (=> @t158 (=> @t157 @t875))))) % 0.83/1.06 (assume @p942 (forall @t141 (=> @t878 (=> (or (and @t318 @t605) (and @t332 @t612)) @t877)))) % 0.83/1.06 (assume @p943 (forall @t141 (=> @t880 (=> (or (and @t318 @t612) (and @t332 @t605)) @t879)))) % 0.83/1.06 (assume @p944 (forall @t537 (=> @t882 (=> @t305 (=> @t545 (=> @t612 @t881)))))) % 0.83/1.06 (assume @p945 (forall @t537 (=> @t882 (=> @t305 (=> @t545 (=> @t318 @t881)))))) % 0.83/1.06 (assume @p946 (forall @t160 (=> @t880 (=> @t393 (=> @t312 @t883))))) % 0.83/1.06 (assume @p947 (forall @t160 (=> @t880 (=> @t393 (=> @t312 @t884))))) % 0.83/1.06 (assume @p948 (forall @t163 (=> (tptp.class_Rings_Oordered__comm__semiring @t31) @t885))) % 0.83/1.06 (assume @p949 (forall @t163 (=> @t882 @t885))) % 0.83/1.06 (assume @p950 (forall @t163 (=> @t882 (=> @t305 (=> @t313 @t884))))) % 0.83/1.06 (assume @p951 (forall @t141 (=> @t880 (=> @t332 (=> @t605 @t879))))) % 0.83/1.06 (assume @p952 (forall @t141 (=> @t878 (=> @t332 (=> @t612 @t877))))) % 0.83/1.06 (assume @p953 (forall @t141 (=> @t878 (=> @t318 (=> @t605 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t872 @t32)))))) % 0.83/1.06 (assume @p954 (forall @t141 (=> @t878 (=> @t318 (=> @t605 @t877))))) % 0.83/1.06 (assume @p955 (forall @t141 (=> @t878 (=> @t318 (=> @t612 @t879))))) % 0.83/1.06 (assume @p956 (forall @t176 (=> @t808 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t861 @t32) @t316)))) % 0.83/1.06 (assume @p957 (forall @t176 (=> @t808 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t861) @t317)))) % 0.83/1.06 (assume @p958 (forall @t67 (=> @t863 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t32 @t853)))) % 0.83/1.06 (assume @p959 (forall @t206 (= (tptp.c_NthRoot_Osqrt @t846) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t494 @t493)))) % 0.83/1.06 (assume @p960 (forall (@list @t45 @t37) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t37 @t45) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t37 @t37)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t45 @t37)))) % 0.83/1.06 (assume @p961 (forall @t202 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t442 @t200) @t200))) % 0.83/1.06 (assume @p962 (forall @t67 (=> @t887 @t886))) % 0.83/1.06 (assume @p963 (forall @t67 (=> @t749 @t886))) % 0.83/1.06 (assume @p964 (forall @t67 (=> @t887 @t888))) % 0.83/1.06 (assume @p965 (forall @t67 (=> @t749 @t888))) % 0.83/1.06 (assume @p966 (forall @t67 (=> @t455 @t888))) % 0.83/1.06 (assume @p967 (forall @t67 (=> @t455 @t886))) % 0.83/1.06 (assume @p968 (forall (@list @t257 @t74 @t38 @t31) (=> @t455 (= (tptp.c_Power_Opower__class_Opower @t31 @t809 @t257) (tptp.c_Groups_Otimes__class_Otimes @t31 @t889 (tptp.c_Power_Opower__class_Opower @t31 @t74 @t257)))))) % 0.83/1.06 (assume @p969 (forall @t892 (=> @t455 (= @t891 @t890)))) % 0.83/1.06 (assume @p970 (forall @t892 (=> @t455 (= @t890 @t891)))) % 0.83/1.06 (assume @p971 (forall @t892 (=> @t455 (= (tptp.c_Groups_Otimes__class_Otimes @t31 @t889 @t38) @t891)))) % 0.83/1.06 (assume @p972 (forall @t489 (=> @t455 (= (tptp.c_Power_Opower__class_Opower @t31 @t38 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t184 @t241)) (tptp.c_Groups_Otimes__class_Otimes @t31 @t487 @t487))))) % 0.83/1.06 (assume @p973 (forall @t67 (=> @t455 @t859))) % 0.83/1.06 (assume @p974 (forall @t67 (=> @t455 @t860))) % 0.83/1.06 (assume @p975 (forall @t901 (=> @t455 (= @t900 (tptp.c_Groups_Otimes__class_Otimes @t31 @t897 (tptp.c_Groups_Otimes__class_Otimes @t31 @t894 @t893)))))) % 0.83/1.06 (assume @p976 (forall @t901 (=> @t455 (= @t900 (tptp.c_Groups_Otimes__class_Otimes @t31 @t895 (tptp.c_Groups_Otimes__class_Otimes @t31 @t899 @t893)))))) % 0.83/1.06 (assume @p977 (forall @t901 (=> @t455 (= @t900 (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 (tptp.c_Groups_Otimes__class_Otimes @t31 @t894 @t898)))))) % 0.83/1.06 (assume @p978 (forall @t903 (=> @t455 (= @t902 (tptp.c_Groups_Otimes__class_Otimes @t31 @t897 @t894))))) % 0.83/1.06 (assume @p979 (forall @t903 (=> @t455 (= @t902 (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 (tptp.c_Groups_Otimes__class_Otimes @t31 @t894 @t895)))))) % 0.83/1.06 (assume @p980 (forall @t905 (=> @t455 (= @t904 (tptp.c_Groups_Otimes__class_Otimes @t31 @t897 @t893))))) % 0.83/1.06 (assume @p981 (forall @t905 (=> @t455 (= @t904 (tptp.c_Groups_Otimes__class_Otimes @t31 @t895 (tptp.c_Groups_Otimes__class_Otimes @t31 @t896 @t893)))))) % 0.83/1.06 (assume @p982 (forall @t141 (=> @t455 (= @t794 @t872)))) % 0.83/1.06 (assume @p983 (forall @t748 (=> @t749 (= @t766 (tptp.c_Groups_Otimes__class_Otimes @t31 @t745 @t45))))) % 0.83/1.06 (assume @p984 (forall @t748 (=> @t758 (= @t766 (tptp.c_Groups_Otimes__class_Otimes @t31 @t45 @t745))))) % 0.83/1.06 (assume @p985 (forall @t44 (=> @t788 (= @t145 (tptp.c_Groups_Otimes__class_Otimes @t31 @t654 @t38))))) % 0.83/1.06 (assume @p986 (forall @t909 (=> @t908 (tptp.class_Groups_Ocancel__comm__monoid__add @t907)))) % 0.83/1.06 (assume @p987 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p991 (forall @t912 (=> (tptp.class_Lattices_Oboolean__algebra @t906) (tptp.class_Lattices_Oboolean__algebra @t911)))) % 0.83/1.06 (assume @p992 (forall @t912 (=> (tptp.class_Orderings_Opreorder @t906) (tptp.class_Orderings_Opreorder @t911)))) % 0.83/1.06 (assume @p993 (forall @t912 (=> (tptp.class_Orderings_Oorder @t906) (tptp.class_Orderings_Oorder @t911)))) % 0.83/1.06 (assume @p994 (forall @t912 (=> (tptp.class_Orderings_Oord @t906) (tptp.class_Orderings_Oord @t911)))) % 0.83/1.06 (assume @p995 (forall @t912 (=> (tptp.class_Groups_Ouminus @t906) (tptp.class_Groups_Ouminus @t911)))) % 0.83/1.06 (assume @p996 (forall @t912 (=> (tptp.class_Groups_Ominus @t906) (tptp.class_Groups_Ominus @t911)))) % 0.83/1.06 (assume @p997 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p998 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1000 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1001 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1003 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1004 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1005 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1006 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1007 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1008 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1009 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1010 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1011 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1014 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1015 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1017 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1018 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1019 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1020 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1021 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1022 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1023 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1024 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1025 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1026 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1027 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1028 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1029 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1030 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1031 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1032 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1033 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1034 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1035 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1036 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1037 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1038 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1039 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1040 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1041 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1042 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1043 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1044 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1045 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1046 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1047 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1048 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1049 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1050 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1051 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1052 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1053 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.83/1.06 (assume @p1054 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1055 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1056 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1057 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1058 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1059 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1060 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1061 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1062 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1063 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1064 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1065 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1066 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1068 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1069 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1070 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1073 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1074 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1075 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1076 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1077 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1078 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1079 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1080 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1081 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1082 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1083 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1084 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1085 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1086 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1087 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1088 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1089 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1090 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.83/1.06 (assume @p1091 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1092 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1093 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1094 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1095 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1096 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.83/1.06 (assume @p1097 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1098 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1099 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1100 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1101 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1102 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1103 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1104 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1105 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1106 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1107 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1108 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1109 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1110 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1111 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1112 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1113 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1114 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1115 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1116 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1117 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1118 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1119 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1120 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1121 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1122 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1123 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1124 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1125 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1126 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1127 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1128 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1129 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1130 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1131 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1132 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1133 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1134 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1135 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1136 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1137 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1138 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1139 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1140 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1141 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1142 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1143 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1144 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1145 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1146 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1147 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1148 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1149 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1150 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1151 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1152 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1153 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1154 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1155 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1156 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1157 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1158 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1159 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1160 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1161 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1162 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1163 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1164 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.83/1.06 (assume @p1165 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1166 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1167 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1168 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1169 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1170 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1171 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1172 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1173 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1174 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1175 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1176 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1177 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1178 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1179 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1180 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1181 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1182 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1183 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1184 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1185 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1186 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1187 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1188 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1189 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1190 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1191 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1192 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1193 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1194 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1195 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1196 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1197 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1198 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1199 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1200 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1201 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1202 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1203 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1204 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1205 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1206 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1207 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1208 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.83/1.06 (assume @p1209 (forall @t909 (=> @t913 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t907)))) % 0.83/1.06 (assume @p1210 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t907)))) % 0.83/1.06 (assume @p1211 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t907)))) % 0.83/1.06 (assume @p1212 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__comm__semiring__strict @t907)))) % 0.83/1.06 (assume @p1213 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__semiring__strict @t907)))) % 0.83/1.06 (assume @p1214 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__ab__semigroup__add @t907)))) % 0.83/1.06 (assume @p1215 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__ab__group__add__abs @t907)))) % 0.83/1.06 (assume @p1216 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__comm__monoid__add @t907)))) % 0.83/1.06 (assume @p1217 (forall @t909 (=> @t914 (tptp.class_Groups_Olinordered__ab__group__add @t907)))) % 0.83/1.06 (assume @p1218 (forall @t909 (=> @t908 (tptp.class_Groups_Ocancel__ab__semigroup__add @t907)))) % 0.83/1.06 (assume @p1219 (forall @t909 (=> @t913 (tptp.class_Rings_Oring__1__no__zero__divisors @t907)))) % 0.83/1.06 (assume @p1220 (forall @t909 (=> @t914 (tptp.class_Rings_Oordered__cancel__semiring @t907)))) % 0.83/1.06 (assume @p1221 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__ring__strict @t907)))) % 0.83/1.06 (assume @p1222 (forall @t909 (=> @t913 (tptp.class_Rings_Oring__no__zero__divisors @t907)))) % 0.83/1.06 (assume @p1223 (forall @t909 (=> @t914 (tptp.class_Rings_Oordered__comm__semiring @t907)))) % 0.83/1.06 (assume @p1224 (forall @t909 (=> @t914 (tptp.class_Groups_Oordered__ab__group__add @t907)))) % 0.83/1.06 (assume @p1225 (forall @t909 (=> @t908 (tptp.class_Groups_Ocancel__semigroup__add @t907)))) % 0.83/1.06 (assume @p1226 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__semidom @t907)))) % 0.83/1.06 (assume @p1227 (forall @t909 (=> @t915 (tptp.class_Groups_Oab__semigroup__mult @t907)))) % 0.83/1.06 (assume @p1228 (forall @t909 (=> @t916 (tptp.class_Groups_Ocomm__monoid__mult @t907)))) % 0.83/1.06 (assume @p1229 (forall @t909 (=> @t917 (tptp.class_Groups_Oab__semigroup__add @t907)))) % 0.83/1.06 (assume @p1230 (forall @t909 (=> @t914 (tptp.class_Rings_Oordered__semiring @t907)))) % 0.83/1.06 (assume @p1231 (forall @t909 (=> @t913 (tptp.class_Rings_Ono__zero__divisors @t907)))) % 0.83/1.06 (assume @p1232 (forall @t909 (=> @t917 (tptp.class_Groups_Ocomm__monoid__add @t907)))) % 0.83/1.06 (assume @p1233 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__ring @t907)))) % 0.83/1.06 (assume @p1234 (forall @t909 (=> @t914 (tptp.class_Rings_Olinordered__idom @t907)))) % 0.83/1.06 (assume @p1235 (forall @t909 (=> @t916 (tptp.class_Rings_Ocomm__semiring__1 @t907)))) % 0.83/1.06 (assume @p1236 (forall @t909 (=> @t915 (tptp.class_Rings_Ocomm__semiring__0 @t907)))) % 0.83/1.06 (assume @p1237 (forall @t909 (=> @t915 (tptp.class_Rings_Ocomm__semiring @t907)))) % 0.83/1.06 (assume @p1238 (forall @t909 (=> @t918 (tptp.class_Groups_Oab__group__add @t907)))) % 0.83/1.06 (assume @p1239 (forall @t909 (=> @t916 (tptp.class_Rings_Ozero__neq__one @t907)))) % 0.83/1.06 (assume @p1240 (forall @t909 (=> @t914 (tptp.class_Rings_Oordered__ring @t907)))) % 0.83/1.06 (assume @p1241 (forall @t909 (=> @t914 (tptp.class_Orderings_Opreorder @t907)))) % 0.83/1.06 (assume @p1242 (forall @t909 (=> @t914 (tptp.class_Orderings_Olinorder @t907)))) % 0.83/1.06 (assume @p1243 (forall @t909 (=> @t916 (tptp.class_Groups_Omonoid__mult @t907)))) % 0.83/1.06 (assume @p1244 (forall @t909 (=> @t919 (tptp.class_Rings_Ocomm__ring__1 @t907)))) % 0.83/1.06 (assume @p1245 (forall @t909 (=> @t917 (tptp.class_Groups_Omonoid__add @t907)))) % 0.83/1.06 (assume @p1246 (forall @t909 (=> @t916 (tptp.class_Rings_Osemiring__1 @t907)))) % 0.83/1.06 (assume @p1247 (forall @t909 (=> @t915 (tptp.class_Rings_Osemiring__0 @t907)))) % 0.83/1.06 (assume @p1248 (forall @t909 (=> @t918 (tptp.class_Groups_Ogroup__add @t907)))) % 0.83/1.06 (assume @p1249 (forall @t909 (=> @t915 (tptp.class_Rings_Omult__zero @t907)))) % 0.83/1.06 (assume @p1250 (forall @t909 (=> @t920 (tptp.class_Rings_Ocomm__ring @t907)))) % 0.83/1.06 (assume @p1251 (forall @t909 (=> @t914 (tptp.class_Orderings_Oorder @t907)))) % 0.83/1.06 (assume @p1252 (forall @t909 (=> @t914 (tptp.class_Int_Oring__char__0 @t907)))) % 0.83/1.06 (assume @p1253 (forall @t909 (=> @t919 (tptp.class_Int_Onumber__ring @t907)))) % 0.83/1.06 (assume @p1254 (forall @t909 (=> @t915 (tptp.class_Rings_Osemiring @t907)))) % 0.83/1.06 (assume @p1255 (forall @t909 (=> @t914 (tptp.class_Orderings_Oord @t907)))) % 0.83/1.06 (assume @p1256 (forall @t909 (=> @t918 (tptp.class_Groups_Ouminus @t907)))) % 0.83/1.06 (assume @p1257 (forall @t909 (=> @t914 (tptp.class_Groups_Oabs__if @t907)))) % 0.83/1.06 (assume @p1258 (forall @t909 (=> @t919 (tptp.class_Rings_Oring__1 @t907)))) % 0.83/1.06 (assume @p1259 (forall @t909 (=> @t918 (tptp.class_Groups_Ominus @t907)))) % 0.83/1.06 (assume @p1260 (forall @t909 (=> @t916 (tptp.class_Power_Opower @t907)))) % 0.83/1.06 (assume @p1261 (forall @t909 (=> (tptp.class_Groups_Ozero @t906) (tptp.class_Groups_Ozero @t907)))) % 0.83/1.06 (assume @p1262 (forall @t909 (=> @t920 (tptp.class_Rings_Oring @t907)))) % 0.83/1.06 (assume @p1263 (forall @t909 (=> @t913 (tptp.class_Rings_Oidom @t907)))) % 0.83/1.06 (assume @p1264 (forall @t909 (=> @t919 (tptp.class_Int_Onumber @t907)))) % 0.83/1.06 (assume @p1265 (forall @t909 (=> @t916 (tptp.class_Groups_Oone @t907)))) % 0.83/1.06 (assume @p1266 @t923) % 0.83/1.06 (assume @p1267 (not tptp.v_thesis____)) % 0.83/1.06 (assume @p1268 true) % 0.83/1.06 (step @p1269 :rule bool-and-de-morgan :args (@t26 @t927 true)) % 0.83/1.06 (step @p1270 :rule cong :premises (@p1269) :args (@t929)) % 0.83/1.06 (step @p1271 :rule cong :premises (@p1270) :args (@t930)) % 0.83/1.06 (step @p1272 :rule exists-elim :args ((= (exists @t28 @t928) @t930))) % 0.83/1.06 (step @p1273 :rule trans :premises (@p1272 @p1271)) % 0.83/1.06 (step @p1274 :rule aci_norm :args ((= (or (or @t925 @t924) @t18) @t926))) % 0.83/1.06 (step @p1275 :rule refl :args (@t18)) % 0.83/1.06 (step @p1276 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.83/1.06 (step @p1277 :rule nary_cong :premises (@p1276 @p1275) :args ((or (not @t23) @t18))) % 0.83/1.06 (step @p1278 :rule trans :premises (@p1277 @p1274)) % 0.83/1.06 (step @p1279 :rule bool-impl-elim :args (@t23 @t18)) % 0.83/1.06 (step @p1280 :rule trans :premises (@p1279 @p1278)) % 0.83/1.06 (step @p1281 :rule cong :premises (@p1280) :args (@t25)) % 0.83/1.06 (step @p1282 :rule refl :args (@t26)) % 0.83/1.06 (step @p1283 :rule nary_cong :premises (@p1282 @p1281) :args (@t27)) % 0.83/1.06 (step @p1284 :rule cong :premises (@p1283) :args (@t29)) % 0.83/1.06 (step @p1285 :rule trans :premises (@p1284 @p1273)) % 0.83/1.06 (step @p1286 :rule eq_resolve :premises (@p4 @p1285)) % 0.83/1.06 (step @p1287 :rule quant-miniscope-or :args ((= (forall @t28 @t935) (or tptp.v_thesis____ @t934)))) % 0.83/1.06 (step @p1288 :rule aci_norm :args ((= @t936 @t935))) % 0.83/1.06 (step @p1289 :rule cong :premises (@p1288) :args ((forall @t28 @t936))) % 0.83/1.06 (step @p1290 :rule trans :premises (@p1289 @p1287)) % 0.83/1.06 (step @p1291 :rule aci_norm :args ((= (or @t932 (or @t931 tptp.v_thesis____)) @t936))) % 0.83/1.06 (step @p1292 :rule bool-impl-elim :args (@t927 tptp.v_thesis____)) % 0.83/1.06 (step @p1293 :rule refl :args (@t932)) % 0.83/1.06 (step @p1294 :rule nary_cong :premises (@p1293 @p1292) :args ((or @t932 @t937))) % 0.83/1.06 (step @p1295 :rule trans :premises (@p1294 @p1291)) % 0.83/1.06 (step @p1296 :rule bool-impl-elim :args (@t26 @t937)) % 0.83/1.06 (step @p1297 :rule trans :premises (@p1296 @p1295)) % 0.83/1.06 (step @p1298 :rule cong :premises (@p1297) :args ((forall @t28 (=> @t26 @t937)))) % 0.83/1.06 (step @p1299 :rule trans :premises (@p1298 @p1290)) % 0.83/1.06 (step @p1300 :rule refl :args (tptp.v_thesis____)) % 0.83/1.06 (step @p1301 :rule cong :premises (@p1281 @p1300) :args (@t921)) % 0.83/1.06 (step @p1302 :rule cong :premises (@p1282 @p1301) :args (@t922)) % 0.83/1.06 (step @p1303 :rule cong :premises (@p1302) :args (@t923)) % 0.83/1.06 (step @p1304 :rule trans :premises (@p1303 @p1299)) % 0.83/1.06 (step @p1305 :rule eq_resolve :premises (@p1266 @p1304)) % 0.83/1.06 (step @p1306 :rule chain_m_resolution :premises (@p1305 @p1286) :args (tptp.v_thesis____ (@list true) (@list @t934))) % 0.83/1.06 (step @p1307 false :rule chain_m_resolution :premises (@p1267 @p1306) :args (false (@list false) (@list tptp.v_thesis____))) % 0.83/1.06 ) % 0.83/1.06 % SZS output end Proof % 0.83/1.06 % cvc5 exiting %------------------------------------------------------------------------------