%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW179+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 : n002.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 09:04:28 AM UTC 2026 % Result : Theorem 1.12s 1.32s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW179+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 21:37:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.45/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.32 % SZS status Theorem % 1.12/1.32 % SZS output start Proof % 1.12/1.32 ( % 1.12/1.32 (declare-sort $$unsorted 0) % 1.12/1.32 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.12/1.32 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.v_c____ $$unsorted) % 1.12/1.32 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.32 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.12/1.32 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_cs____ $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.v_m____ $$unsorted) % 1.12/1.32 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_r $$unsorted) % 1.12/1.32 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.32 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.12/1.32 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.12/1.32 (define @t3 () (@var "B_x" $$unsorted)) % 1.12/1.32 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.12/1.32 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.12/1.32 (define @t6 () (@list @t3)) % 1.12/1.32 (define @t7 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_c____)) % 1.12/1.32 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.32 (define @t9 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t7)) % 1.12/1.32 (define @t10 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.12/1.32 (define @t11 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t10 tptp.v_r) tptp.v_m____))) % 1.12/1.32 (define @t12 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t11)) % 1.12/1.32 (define @t13 () (@var "V_x" $$unsorted)) % 1.12/1.32 (define @t14 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t13)) % 1.12/1.32 (define @t15 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.32 (define @t16 () (@list @t13)) % 1.12/1.32 (define @t17 () (@var "V_s" $$unsorted)) % 1.12/1.32 (define @t18 () (@var "V_r" $$unsorted)) % 1.12/1.32 (define @t19 () (@var "V_y" $$unsorted)) % 1.12/1.32 (define @t20 () (@var "T_a" $$unsorted)) % 1.12/1.32 (define @t21 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t13 @t19)) % 1.12/1.32 (define @t22 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t21)) % 1.12/1.32 (define @t23 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t19)) % 1.12/1.32 (define @t24 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t23 @t17)) % 1.12/1.32 (define @t25 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t13)) % 1.12/1.32 (define @t26 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t25 @t18)) % 1.12/1.32 (define @t27 () (tptp.class_RealVector_Oreal__normed__vector @t20)) % 1.12/1.32 (define @t28 () (@list @t17 @t19 @t18 @t13 @t20)) % 1.12/1.32 (define @t29 () (tptp.c_Groups_Otimes__class_Otimes @t20)) % 1.12/1.32 (define @t30 () (tptp.hAPP @t29 @t13)) % 1.12/1.32 (define @t31 () (tptp.hAPP @t30 @t19)) % 1.12/1.32 (define @t32 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t31)) % 1.12/1.32 (define @t33 () (tptp.class_RealVector_Oreal__normed__algebra @t20)) % 1.12/1.32 (define @t34 () (tptp.c_Groups_Ozero__class_Ozero @t20)) % 1.12/1.32 (define @t35 () (@var "V_x_2" $$unsorted)) % 1.12/1.32 (define @t36 () (= @t35 @t34)) % 1.12/1.32 (define @t37 () (not @t36)) % 1.12/1.32 (define @t38 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t35)) % 1.12/1.32 (define @t39 () (@list @t35 @t20)) % 1.12/1.32 (define @t40 () (tptp.c_Groups_Oone__class_Oone @t20)) % 1.12/1.32 (define @t41 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t40 @t40)) % 1.12/1.32 (define @t42 () (tptp.class_Rings_Olinordered__semidom @t20)) % 1.12/1.32 (define @t43 () (@list @t20)) % 1.12/1.32 (define @t44 () (tptp.hAPP @t29 @t19)) % 1.12/1.32 (define @t45 () (tptp.hAPP @t30 @t13)) % 1.12/1.32 (define @t46 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t45 (tptp.hAPP @t44 @t19))) % 1.12/1.32 (define @t47 () (tptp.class_Rings_Olinordered__ring @t20)) % 1.12/1.32 (define @t48 () (@list @t19 @t13 @t20)) % 1.12/1.32 (define @t49 () (@var "V_y_2" $$unsorted)) % 1.12/1.32 (define @t50 () (= @t49 @t34)) % 1.12/1.32 (define @t51 () (tptp.hAPP @t29 @t35)) % 1.12/1.32 (define @t52 () (tptp.hAPP @t51 @t35)) % 1.12/1.32 (define @t53 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t52 (tptp.hAPP (tptp.hAPP @t29 @t49) @t49))) % 1.12/1.32 (define @t54 () (tptp.class_Rings_Olinordered__ring__strict @t20)) % 1.12/1.32 (define @t55 () (@list @t49 @t35 @t20)) % 1.12/1.32 (define @t56 () (= @t35 @t8)) % 1.12/1.32 (define @t57 () (tptp.hAPP @t10 @t49)) % 1.12/1.32 (define @t58 () (tptp.hAPP @t10 @t35)) % 1.12/1.32 (define @t59 () (tptp.hAPP @t58 @t35)) % 1.12/1.32 (define @t60 () (@list @t49 @t35)) % 1.12/1.32 (define @t61 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t20)) % 1.12/1.32 (define @t62 () (@list @t13 @t20)) % 1.12/1.32 (define @t63 () (@list @t35)) % 1.12/1.32 (define @t64 () (@var "V_w" $$unsorted)) % 1.12/1.32 (define @t65 () (@list @t64)) % 1.12/1.32 (define @t66 () (@var "V_z" $$unsorted)) % 1.12/1.32 (define @t67 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t64 @t66)) % 1.12/1.32 (define @t68 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t66 @t64)) % 1.12/1.32 (define @t69 () (@list @t64 @t66)) % 1.12/1.32 (define @t70 () (@var "V_k" $$unsorted)) % 1.12/1.32 (define @t71 () (@var "V_i" $$unsorted)) % 1.12/1.32 (define @t72 () (@var "V_j" $$unsorted)) % 1.12/1.32 (define @t73 () (@list @t70 @t72 @t71)) % 1.12/1.32 (define @t74 () (= @t66 @t64)) % 1.12/1.32 (define @t75 () (= @t35 @t49)) % 1.12/1.32 (define @t76 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t49)) % 1.12/1.32 (define @t77 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t49)) % 1.12/1.32 (define @t78 () (not @t75)) % 1.12/1.32 (define @t79 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t18)) % 1.12/1.32 (define @t80 () (@list @t18)) % 1.12/1.32 (define @t81 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t19)) % 1.12/1.32 (define @t82 () (@list @t66 @t19 @t13)) % 1.12/1.32 (define @t83 () (@list @t66 @t64)) % 1.12/1.32 (define @t84 () (@var "V_b" $$unsorted)) % 1.12/1.32 (define @t85 () (@var "V_a" $$unsorted)) % 1.12/1.32 (define @t86 () (tptp.hAPP @t29 @t85)) % 1.12/1.32 (define @t87 () (tptp.hAPP @t86 @t84)) % 1.12/1.32 (define @t88 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t87 @t34)) % 1.12/1.32 (define @t89 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t84)) % 1.12/1.32 (define @t90 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t85 @t34)) % 1.12/1.32 (define @t91 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t84 @t34)) % 1.12/1.32 (define @t92 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t85)) % 1.12/1.32 (define @t93 () (tptp.class_Rings_Oordered__cancel__semiring @t20)) % 1.12/1.32 (define @t94 () (@list @t84 @t85 @t20)) % 1.12/1.32 (define @t95 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t87)) % 1.12/1.32 (define @t96 () (tptp.class_Rings_Oordered__ring @t20)) % 1.12/1.32 (define @t97 () (@var "V_d" $$unsorted)) % 1.12/1.32 (define @t98 () (tptp.hAPP @t29 @t84)) % 1.12/1.32 (define @t99 () (tptp.hAPP @t98 @t97)) % 1.12/1.32 (define @t100 () (@var "V_c" $$unsorted)) % 1.12/1.32 (define @t101 () (tptp.hAPP @t86 @t100)) % 1.12/1.32 (define @t102 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t100)) % 1.12/1.32 (define @t103 () (=> @t102 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t101 @t99))) % 1.12/1.32 (define @t104 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t100 @t97)) % 1.12/1.32 (define @t105 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t85 @t84)) % 1.12/1.32 (define @t106 () (tptp.class_Rings_Oordered__semiring @t20)) % 1.12/1.32 (define @t107 () (@list @t97 @t100 @t84 @t85 @t20)) % 1.12/1.32 (define @t108 () (tptp.hAPP @t29 @t100)) % 1.12/1.32 (define @t109 () (tptp.hAPP @t108 @t84)) % 1.12/1.32 (define @t110 () (tptp.hAPP @t108 @t85)) % 1.12/1.32 (define @t111 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t110 @t109)) % 1.12/1.32 (define @t112 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t100 @t34)) % 1.12/1.32 (define @t113 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t84 @t85)) % 1.12/1.32 (define @t114 () (@list @t100 @t85 @t84 @t20)) % 1.12/1.32 (define @t115 () (tptp.hAPP @t98 @t100)) % 1.12/1.32 (define @t116 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t101 @t115)) % 1.12/1.32 (define @t117 () (=> @t105 (=> @t102 @t111))) % 1.12/1.32 (define @t118 () (@list @t100 @t84 @t85 @t20)) % 1.12/1.32 (define @t119 () (tptp.hAPP @t98 @t85)) % 1.12/1.32 (define @t120 () (@var "V_b_2" $$unsorted)) % 1.12/1.32 (define @t121 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t120)) % 1.12/1.32 (define @t122 () (@var "V_a_2" $$unsorted)) % 1.12/1.32 (define @t123 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t122 @t34)) % 1.12/1.32 (define @t124 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t120 @t34)) % 1.12/1.32 (define @t125 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t122)) % 1.12/1.32 (define @t126 () (tptp.hAPP @t29 @t122)) % 1.12/1.32 (define @t127 () (tptp.hAPP @t126 @t120)) % 1.12/1.32 (define @t128 () (@list @t120 @t122 @t20)) % 1.12/1.32 (define @t129 () (tptp.hAPP @t86 @t85)) % 1.12/1.32 (define @t130 () (@list @t85 @t20)) % 1.12/1.32 (define @t131 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t100)) % 1.12/1.32 (define @t132 () (=> @t131 @t105)) % 1.12/1.32 (define @t133 () (tptp.class_Rings_Olinordered__semiring__strict @t20)) % 1.12/1.32 (define @t134 () (@list @t84 @t85 @t100 @t20)) % 1.12/1.32 (define @t135 () (@list @t84 @t100 @t85 @t20)) % 1.12/1.32 (define @t136 () (tptp.c_Orderings_Oord__class_Oless @t20 @t85 @t84)) % 1.12/1.32 (define @t137 () (=> @t102 @t136)) % 1.12/1.32 (define @t138 () (tptp.c_Orderings_Oord__class_Oless @t20 @t110 @t109)) % 1.12/1.32 (define @t139 () (=> @t138 @t137)) % 1.12/1.32 (define @t140 () (tptp.class_Rings_Olinordered__semiring @t20)) % 1.12/1.32 (define @t141 () (tptp.c_Orderings_Oord__class_Oless @t20 @t101 @t115)) % 1.12/1.32 (define @t142 () (=> @t141 @t137)) % 1.12/1.32 (define @t143 () (tptp.c_Orderings_Oord__class_Oless @t20 @t101 @t99)) % 1.12/1.32 (define @t144 () (=> @t102 @t143)) % 1.12/1.32 (define @t145 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t85)) % 1.12/1.32 (define @t146 () (tptp.c_Orderings_Oord__class_Oless @t20 @t100 @t97)) % 1.12/1.32 (define @t147 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t84)) % 1.12/1.32 (define @t148 () (@var "V_ca_2" $$unsorted)) % 1.12/1.32 (define @t149 () (tptp.hAPP @t29 @t148)) % 1.12/1.32 (define @t150 () (tptp.hAPP @t149 @t120)) % 1.12/1.32 (define @t151 () (tptp.hAPP @t149 @t122)) % 1.12/1.32 (define @t152 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t151 @t150)) % 1.12/1.32 (define @t153 () (tptp.c_Orderings_Oord__class_Oless @t20 @t148 @t34)) % 1.12/1.32 (define @t154 () (@list @t120 @t122 @t148 @t20)) % 1.12/1.32 (define @t155 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t122 @t120)) % 1.12/1.32 (define @t156 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t148)) % 1.12/1.32 (define @t157 () (and @t36 @t50)) % 1.12/1.32 (define @t158 () (tptp.hAPP @t44 @t13)) % 1.12/1.32 (define @t159 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t19 @t40)) % 1.12/1.32 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t19)) % 1.12/1.32 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t13)) % 1.12/1.32 (define @t162 () (tptp.class_Rings_Olinordered__idom @t20)) % 1.12/1.32 (define @t163 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t84)) % 1.12/1.32 (define @t164 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t85)) % 1.12/1.32 (define @t165 () (tptp.hAPP @t29 @t164)) % 1.12/1.32 (define @t166 () (tptp.hAPP @t165 @t163)) % 1.12/1.32 (define @t167 () (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t87) @t166)) % 1.12/1.32 (define @t168 () (tptp.hAPP (tptp.hAPP @t10 @t25) @t23)) % 1.12/1.32 (define @t169 () (@var "V_z_2" $$unsorted)) % 1.12/1.32 (define @t170 () (tptp.hAPP @t10 @t169)) % 1.12/1.32 (define @t171 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t169)) % 1.12/1.32 (define @t172 () (@list @t49 @t35 @t169)) % 1.12/1.32 (define @t173 () (tptp.hAPP @t57 @t169)) % 1.12/1.32 (define @t174 () (tptp.hAPP @t58 @t169)) % 1.12/1.32 (define @t175 () (@var "V_v" $$unsorted)) % 1.12/1.32 (define @t176 () (@var "V_u" $$unsorted)) % 1.12/1.32 (define @t177 () (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP (tptp.hAPP @t29 @t176) @t13) (tptp.hAPP (tptp.hAPP @t29 @t175) @t19))) % 1.12/1.32 (define @t178 () (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t176 @t175) @t40)) % 1.12/1.32 (define @t179 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t175)) % 1.12/1.32 (define @t180 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t176)) % 1.12/1.32 (define @t181 () (@list @t175 @t176 @t19 @t85 @t13 @t20)) % 1.12/1.32 (define @t182 () (tptp.c_Orderings_Oord__class_Oless @t20 @t19 @t13)) % 1.12/1.32 (define @t183 () (tptp.c_Orderings_Oord__class_Oless @t20 @t13 @t19)) % 1.12/1.32 (define @t184 () (not @t183)) % 1.12/1.32 (define @t185 () (= @t13 @t19)) % 1.12/1.32 (define @t186 () (not @t185)) % 1.12/1.32 (define @t187 () (=> @t186 (=> @t184 @t182))) % 1.12/1.32 (define @t188 () (@var "V_z3" $$unsorted)) % 1.12/1.32 (define @t189 () (@var "V_z2" $$unsorted)) % 1.12/1.32 (define @t190 () (tptp.hAPP @t10 @t189)) % 1.12/1.32 (define @t191 () (@var "V_z1" $$unsorted)) % 1.12/1.32 (define @t192 () (tptp.hAPP @t10 @t191)) % 1.12/1.32 (define @t193 () (@list @t188 @t189 @t191)) % 1.12/1.32 (define @t194 () (tptp.hAPP @t10 @t66)) % 1.12/1.32 (define @t195 () (= @t84 @t34)) % 1.12/1.32 (define @t196 () (= @t85 @t34)) % 1.12/1.32 (define @t197 () (= @t87 @t34)) % 1.12/1.32 (define @t198 () (tptp.class_Rings_Ono__zero__divisors @t20)) % 1.12/1.32 (define @t199 () (not @t195)) % 1.12/1.32 (define @t200 () (not @t196)) % 1.12/1.32 (define @t201 () (= @t122 @t34)) % 1.12/1.32 (define @t202 () (= (tptp.hAPP @t86 @t34) @t34)) % 1.12/1.32 (define @t203 () (tptp.class_Rings_Omult__zero @t20)) % 1.12/1.32 (define @t204 () (tptp.hAPP @t29 @t34)) % 1.12/1.32 (define @t205 () (@list @t19 @t20)) % 1.12/1.32 (define @t206 () (= (tptp.hAPP @t204 @t85) @t34)) % 1.12/1.32 (define @t207 () (tptp.class_Rings_Ozero__neq__one @t20)) % 1.12/1.32 (define @t208 () (@var "V_e" $$unsorted)) % 1.12/1.32 (define @t209 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t84)) % 1.12/1.32 (define @t210 () (tptp.hAPP @t29 @t209)) % 1.12/1.32 (define @t211 () (@var "V_ya" $$unsorted)) % 1.12/1.32 (define @t212 () (tptp.hAPP @t44 @t211)) % 1.12/1.32 (define @t213 () (tptp.hAPP @t30 @t211)) % 1.12/1.32 (define @t214 () (@list @t211 @t19 @t13 @t20)) % 1.12/1.32 (define @t215 () (@var "V_a_H" $$unsorted)) % 1.12/1.32 (define @t216 () (tptp.hAPP (tptp.hAPP @t29 @t215) @t84)) % 1.12/1.32 (define @t217 () (@list @t84 @t215 @t85 @t20)) % 1.12/1.32 (define @t218 () (= (tptp.hAPP @t210 @t100) (tptp.c_Groups_Oplus__class_Oplus @t20 @t101 @t115))) % 1.12/1.32 (define @t219 () (@var "V_xa" $$unsorted)) % 1.12/1.32 (define @t220 () (tptp.hAPP @t29 @t219)) % 1.12/1.32 (define @t221 () (tptp.hAPP @t220 @t19)) % 1.12/1.32 (define @t222 () (tptp.hAPP @t220 @t13)) % 1.12/1.32 (define @t223 () (@list @t19 @t13 @t219 @t20)) % 1.12/1.32 (define @t224 () (@var "V_b_H" $$unsorted)) % 1.12/1.32 (define @t225 () (tptp.hAPP @t86 @t224)) % 1.12/1.32 (define @t226 () (@list @t224 @t84 @t85 @t20)) % 1.12/1.32 (define @t227 () (= @t122 @t120)) % 1.12/1.32 (define @t228 () (tptp.hAPP @t10 @t148)) % 1.12/1.32 (define @t229 () (not (= @t148 @t8))) % 1.12/1.32 (define @t230 () (@list @t120 @t122 @t148)) % 1.12/1.32 (define @t231 () (@list @t66)) % 1.12/1.32 (define @t232 () (@list @t64 @t189 @t191)) % 1.12/1.32 (define @t233 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t85)) % 1.12/1.32 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t20 @t100 @t34)) % 1.12/1.32 (define @t235 () (tptp.c_Orderings_Oord__class_Oless @t20 @t84 @t85)) % 1.12/1.32 (define @t236 () (=> @t136 (=> @t131 @t138))) % 1.12/1.32 (define @t237 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t87)) % 1.12/1.32 (define @t238 () (tptp.c_Orderings_Oord__class_Oless @t20 @t84 @t34)) % 1.12/1.32 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t20 @t85 @t34)) % 1.12/1.32 (define @t240 () (tptp.c_Orderings_Oord__class_Oless @t20 @t87 @t34)) % 1.12/1.32 (define @t241 () (tptp.c_Orderings_Oord__class_Oless @t20 @t120 @t122)) % 1.12/1.32 (define @t242 () (tptp.c_Orderings_Oord__class_Oless @t20 @t151 @t150)) % 1.12/1.32 (define @t243 () (=> @t145 @t147)) % 1.12/1.32 (define @t244 () (@list @t85 @t84 @t20)) % 1.12/1.32 (define @t245 () (tptp.c_Orderings_Oord__class_Oless @t20 @t122 @t120)) % 1.12/1.32 (define @t246 () (or (and @t156 @t245) (and @t153 @t241))) % 1.12/1.32 (define @t247 () (tptp.hAPP @t29 @t120)) % 1.12/1.32 (define @t248 () (tptp.hAPP @t247 @t148)) % 1.12/1.32 (define @t249 () (tptp.hAPP @t126 @t148)) % 1.12/1.32 (define @t250 () (@list @t120 @t148 @t122 @t20)) % 1.12/1.32 (define @t251 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t100)) % 1.12/1.32 (define @t252 () (tptp.c_Orderings_Oord__class_Oless @t20 @t84 @t251)) % 1.12/1.32 (define @t253 () (tptp.c_Orderings_Oord__class_Oless @t20 @t84 @t100)) % 1.12/1.32 (define @t254 () (=> @t253 @t252)) % 1.12/1.32 (define @t255 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t40)) % 1.12/1.32 (define @t256 () (forall @t43 (=> @t42 @t255))) % 1.12/1.32 (define @t257 () (@var "V_n" $$unsorted)) % 1.12/1.32 (define @t258 () (@var "V_m" $$unsorted)) % 1.12/1.32 (define @t259 () (tptp.hAPP @t29 @t258)) % 1.12/1.32 (define @t260 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t40)) % 1.12/1.32 (define @t261 () (@list @t97 @t84 @t100 @t85 @t20)) % 1.12/1.32 (define @t262 () (tptp.class_RealVector_Oreal__normed__div__algebra @t20)) % 1.12/1.32 (define @t263 () (tptp.hAPP @t10 @t13)) % 1.12/1.32 (define @t264 () (tptp.hAPP @t263 @t19)) % 1.12/1.32 (define @t265 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t19)) % 1.12/1.32 (define @t266 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t13)) % 1.12/1.32 (define @t267 () (@list @t19 @t13)) % 1.12/1.32 (define @t268 () (@var "B_z" $$unsorted)) % 1.12/1.32 (define @t269 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_cs____) @t268))) % 1.12/1.32 (define @t270 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t268) tptp.v_r)) % 1.12/1.32 (define @t271 () (@list @t268)) % 1.12/1.32 (define @t272 () (= @t13 @t34)) % 1.12/1.32 (define @t273 () (tptp.hAPP @t10 @t100)) % 1.12/1.32 (define @t274 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t8)) % 1.12/1.32 (define @t275 () (= @t13 @t8)) % 1.12/1.32 (define @t276 () (tptp.c_Orderings_Oord__class_Oless @t20 @t209 @t34)) % 1.12/1.32 (define @t277 () (=> @t238 @t276)) % 1.12/1.32 (define @t278 () (tptp.class_Groups_Oordered__comm__monoid__add @t20)) % 1.12/1.32 (define @t279 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t84 @t100)) % 1.12/1.32 (define @t280 () (=> @t279 @t252)) % 1.12/1.32 (define @t281 () (=> @t145 @t280)) % 1.12/1.32 (define @t282 () (forall @t118 (=> @t278 @t281))) % 1.12/1.32 (define @t283 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t209)) % 1.12/1.32 (define @t284 () (=> @t147 @t283)) % 1.12/1.32 (define @t285 () (=> @t89 @t283)) % 1.12/1.32 (define @t286 () (=> @t145 @t285)) % 1.12/1.32 (define @t287 () (forall @t94 (=> @t278 @t286))) % 1.12/1.32 (define @t288 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t164 @t163)) % 1.12/1.32 (define @t289 () (tptp.class_Groups_Oordered__ab__group__add__abs @t20)) % 1.12/1.32 (define @t290 () (= @t164 @t85)) % 1.12/1.32 (define @t291 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t122)) % 1.12/1.32 (define @t292 () (@list @t122 @t20)) % 1.12/1.32 (define @t293 () (@var "B_m" $$unsorted)) % 1.12/1.32 (define @t294 () (forall @t271 (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t269 @t293)))) % 1.12/1.32 (define @t295 () (@list @t293)) % 1.12/1.32 (define @t296 () (tptp.class_Groups_Ozero @t20)) % 1.12/1.32 (define @t297 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t84 @t100)) % 1.12/1.32 (define @t298 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t209 @t100)) % 1.12/1.32 (define @t299 () (= @t298 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t297))) % 1.12/1.32 (define @t300 () (= @t120 @t148)) % 1.12/1.32 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t122 @t148)) % 1.12/1.32 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t122 @t120)) % 1.12/1.32 (define @t303 () (tptp.class_Groups_Ocancel__semigroup__add @t20)) % 1.12/1.32 (define @t304 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t148 @t122)) % 1.12/1.32 (define @t305 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t120 @t122)) % 1.12/1.32 (define @t306 () (= @t84 @t100)) % 1.12/1.32 (define @t307 () (=> (= @t209 @t251) @t306)) % 1.12/1.32 (define @t308 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t100 @t85)) % 1.12/1.32 (define @t309 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t84 @t85)) % 1.12/1.32 (define @t310 () (= @t35 @t40)) % 1.12/1.32 (define @t311 () (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t34 @t85) @t85)) % 1.12/1.32 (define @t312 () (tptp.class_Groups_Omonoid__add @t20)) % 1.12/1.32 (define @t313 () (tptp.class_Groups_Ocomm__monoid__add @t20)) % 1.12/1.32 (define @t314 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t122 @t122)) % 1.12/1.32 (define @t315 () (tptp.class_Groups_Olinordered__ab__group__add @t20)) % 1.12/1.32 (define @t316 () (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t34) @t85)) % 1.12/1.32 (define @t317 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t120 @t148)) % 1.12/1.32 (define @t318 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t20)) % 1.12/1.32 (define @t319 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t148 @t120)) % 1.12/1.32 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t251 @t297)) % 1.12/1.32 (define @t321 () (tptp.class_Groups_Oordered__ab__semigroup__add @t20)) % 1.12/1.32 (define @t322 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t100 @t84)) % 1.12/1.32 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t308 @t322)) % 1.12/1.32 (define @t324 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t84 @t97)) % 1.12/1.32 (define @t325 () (tptp.c_Orderings_Oord__class_Oless @t20 @t251 @t297)) % 1.12/1.32 (define @t326 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t20)) % 1.12/1.32 (define @t327 () (tptp.c_Orderings_Oord__class_Oless @t20 @t308 @t322)) % 1.12/1.32 (define @t328 () (tptp.c_Orderings_Oord__class_Oless @t20 @t251 @t324)) % 1.12/1.32 (define @t329 () (=> @t146 @t328)) % 1.12/1.32 (define @t330 () (= (tptp.hAPP (tptp.hAPP @t29 @t40) @t85) @t85)) % 1.12/1.32 (define @t331 () (tptp.class_Groups_Omonoid__mult @t20)) % 1.12/1.32 (define @t332 () (tptp.class_Groups_Ocomm__monoid__mult @t20)) % 1.12/1.32 (define @t333 () (= (tptp.hAPP @t86 @t40) @t85)) % 1.12/1.32 (define @t334 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t164 @t84)) % 1.12/1.32 (define @t335 () (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t35 @t49) @t34)) % 1.12/1.32 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t84 @t251)) % 1.12/1.32 (define @t337 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t122)) % 1.12/1.32 (define @t338 () (tptp.c_Orderings_Oord__class_Oless @t20 @t122 @t34)) % 1.12/1.32 (define @t339 () (= (tptp.c_Orderings_Oord__class_Oless @t20 @t314 @t34) @t338)) % 1.12/1.32 (define @t340 () (tptp.class_Rings_Ocomm__semiring__1 @t20)) % 1.12/1.32 (define @t341 () (tptp.hAPP (tptp.hAPP @t29 @t260) @t258)) % 1.12/1.32 (define @t342 () (tptp.hAPP @t86 @t258)) % 1.12/1.32 (define @t343 () (tptp.hAPP @t29 @t18)) % 1.12/1.32 (define @t344 () (= @t85 @t84)) % 1.12/1.32 (define @t345 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t20)) % 1.12/1.32 (define @t346 () (tptp.class_Orderings_Opreorder @t20)) % 1.12/1.33 (define @t347 () (tptp.tc_Polynomial_Opoly @t20)) % 1.12/1.33 (define @t348 () (tptp.c_Groups_Oone__class_Oone @t347)) % 1.12/1.33 (define @t349 () (@var "V_q" $$unsorted)) % 1.12/1.33 (define @t350 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t349) @t13)) % 1.12/1.33 (define @t351 () (@var "V_p" $$unsorted)) % 1.12/1.33 (define @t352 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t351) @t13)) % 1.12/1.33 (define @t353 () (tptp.c_Groups_Oplus__class_Oplus @t347 @t351 @t349)) % 1.12/1.33 (define @t354 () (tptp.class_Rings_Ocomm__semiring__0 @t20)) % 1.12/1.33 (define @t355 () (@list @t13 @t349 @t351 @t20)) % 1.12/1.33 (define @t356 () (tptp.c_Groups_Ozero__class_Ozero @t347)) % 1.12/1.33 (define @t357 () (@list @t349 @t20)) % 1.12/1.33 (define @t358 () (@list @t351 @t20)) % 1.12/1.33 (define @t359 () (tptp.c_Groups_Otimes__class_Otimes @t347)) % 1.12/1.33 (define @t360 () (tptp.hAPP @t359 @t351)) % 1.12/1.33 (define @t361 () (@var "T_b" $$unsorted)) % 1.12/1.33 (define @t362 () (tptp.tc_fun @t20 @t361)) % 1.12/1.33 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq @t362 @t2 @t1)) % 1.12/1.33 (define @t364 () (tptp.class_Orderings_Oord @t361)) % 1.12/1.33 (define @t365 () (@list @t1 @t2 @t20 @t361)) % 1.12/1.33 (define @t366 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t19 @t13)) % 1.12/1.33 (define @t367 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t13 @t19)) % 1.12/1.33 (define @t368 () (tptp.class_Orderings_Olinorder @t20)) % 1.12/1.33 (define @t369 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t49 @t35)) % 1.12/1.33 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t35 @t49)) % 1.12/1.33 (define @t371 () (tptp.class_Orderings_Oorder @t20)) % 1.12/1.33 (define @t372 () (= @t370 @t75)) % 1.12/1.33 (define @t373 () (@list @t35 @t49 @t20)) % 1.12/1.33 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t85 @t100)) % 1.12/1.33 (define @t375 () (tptp.class_Orderings_Oord @t20)) % 1.12/1.33 (define @t376 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t100 @t85)) % 1.12/1.33 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t19 @t66)) % 1.12/1.33 (define @t378 () (@list @t66 @t19 @t13 @t20)) % 1.12/1.33 (define @t379 () (@list @t13 @t19 @t20)) % 1.12/1.33 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t66 @t19)) % 1.12/1.33 (define @t381 () (@list @t66 @t13 @t19 @t20)) % 1.12/1.33 (define @t382 () (tptp.c_Orderings_Oord__class_Oless @t20 @t66 @t13)) % 1.12/1.33 (define @t383 () (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t66 @t19) @t382)) % 1.12/1.33 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t20 @t13 @t66)) % 1.12/1.33 (define @t385 () (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t19 @t66) @t384)) % 1.12/1.33 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t20 @t100 @t85)) % 1.12/1.33 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t20 @t85 @t100)) % 1.12/1.33 (define @t388 () (tptp.c_Orderings_Oord__class_Oless @t20 @t35 @t49)) % 1.12/1.33 (define @t389 () (not @t388)) % 1.12/1.33 (define @t390 () (= @t389 @t75)) % 1.12/1.33 (define @t391 () (tptp.c_Orderings_Oord__class_Oless @t20 @t49 @t35)) % 1.12/1.33 (define @t392 () (@var "V_ry" $$unsorted)) % 1.12/1.33 (define @t393 () (@var "V_ly" $$unsorted)) % 1.12/1.33 (define @t394 () (tptp.hAPP @t29 @t393)) % 1.12/1.33 (define @t395 () (@var "V_rx" $$unsorted)) % 1.12/1.33 (define @t396 () (@var "V_lx" $$unsorted)) % 1.12/1.33 (define @t397 () (tptp.hAPP @t29 @t396)) % 1.12/1.33 (define @t398 () (tptp.hAPP @t29 (tptp.hAPP @t397 @t395))) % 1.12/1.33 (define @t399 () (tptp.hAPP @t29 @t395)) % 1.12/1.33 (define @t400 () (tptp.hAPP @t399 @t392)) % 1.12/1.33 (define @t401 () (tptp.hAPP @t29 (tptp.hAPP @t397 @t393))) % 1.12/1.33 (define @t402 () (tptp.hAPP @t401 @t400)) % 1.12/1.33 (define @t403 () (@list @t392 @t395 @t393 @t396 @t20)) % 1.12/1.33 (define @t404 () (tptp.hAPP @t401 @t395)) % 1.12/1.33 (define @t405 () (@list @t395 @t393 @t396 @t20)) % 1.12/1.33 (define @t406 () (tptp.hAPP @t397 @t400)) % 1.12/1.33 (define @t407 () (@list @t392 @t395 @t396 @t20)) % 1.12/1.33 (define @t408 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t100 @t97)) % 1.12/1.33 (define @t409 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t408)) % 1.12/1.33 (define @t410 () (@list @t97 @t100 @t85 @t20)) % 1.12/1.33 (define @t411 () (@var "V_q_2" $$unsorted)) % 1.12/1.33 (define @t412 () (@var "V_pa_2" $$unsorted)) % 1.12/1.33 (define @t413 () (= @t412 @t411)) % 1.12/1.33 (define @t414 () (tptp.c_Polynomial_Opoly @t20 @t412)) % 1.12/1.33 (define @t415 () (tptp.class_Rings_Oidom @t20)) % 1.12/1.33 (define @t416 () (and (tptp.class_Int_Oring__char__0 @t20) @t415)) % 1.12/1.33 (define @t417 () (@list @t411 @t412 @t20)) % 1.12/1.33 (define @t418 () (= @t412 @t356)) % 1.12/1.33 (define @t419 () (tptp.c_Polynomial_Opoly @t20 @t356)) % 1.12/1.33 (define @t420 () (not @t344)) % 1.12/1.33 (define @t421 () (@list @t122 @t120 @t20)) % 1.12/1.33 (define @t422 () (@var "V_w_2" $$unsorted)) % 1.12/1.33 (define @t423 () (tptp.hAPP @t29 @t422)) % 1.12/1.33 (define @t424 () (@var "V_d_2" $$unsorted)) % 1.12/1.33 (define @t425 () (= @t148 @t424)) % 1.12/1.33 (define @t426 () (@list @t424 @t148 @t120 @t122 @t20)) % 1.12/1.33 (define @t427 () (tptp.hAPP @t360 @t349)) % 1.12/1.33 (define @t428 () (@var "B_K" $$unsorted)) % 1.12/1.33 (define @t429 () (tptp.hAPP (tptp.hAPP @t10 (tptp.c_RealVector_Onorm__class_Onorm @t20 @t3)) @t428)) % 1.12/1.33 (define @t430 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 (tptp.hAPP (tptp.hAPP @t29 @t3) @t19)) @t429))) % 1.12/1.33 (define @t431 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t428)) % 1.12/1.33 (define @t432 () (@list @t428)) % 1.12/1.33 (define @t433 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 (tptp.hAPP @t30 @t3)) @t429))) % 1.12/1.33 (define @t434 () (@var "B_b" $$unsorted)) % 1.12/1.33 (define @t435 () (@var "B_a" $$unsorted)) % 1.12/1.33 (define @t436 () (forall (@list @t435 @t434) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 (tptp.hAPP (tptp.hAPP @t29 @t435) @t434)) (tptp.hAPP (tptp.hAPP @t10 (tptp.hAPP (tptp.hAPP @t10 (tptp.c_RealVector_Onorm__class_Onorm @t20 @t435)) (tptp.c_RealVector_Onorm__class_Onorm @t20 @t434))) @t428)))) % 1.12/1.33 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t428)) % 1.12/1.33 (define @t438 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t439 () (tptp.c_Groups_Osgn__class_Osgn @t20 @t13)) % 1.12/1.33 (define @t440 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t439)) % 1.12/1.33 (define @t441 () (not @t272)) % 1.12/1.33 (define @t442 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t361))) % 1.12/1.33 (define @t443 () (tptp.c_Groups_Osgn__class_Osgn @t20 @t85)) % 1.12/1.33 (define @t444 () (tptp.c_Groups_Osgn__class_Osgn @t20 @t122)) % 1.12/1.33 (define @t445 () (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t34) @t34)) % 1.12/1.33 (define @t446 () (tptp.class_Groups_Osgn__if @t20)) % 1.12/1.33 (define @t447 () (tptp.hAPP @t29 @t439)) % 1.12/1.33 (define @t448 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t13)) % 1.12/1.33 (define @t449 () (=> @t266 (= @t448 @t15))) % 1.12/1.33 (define @t450 () (@list @t257)) % 1.12/1.33 (define @t451 () (@var "B_e" $$unsorted)) % 1.12/1.33 (define @t452 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t348) @t257)) % 1.12/1.33 (define @t453 () (= @t257 @t438)) % 1.12/1.33 (define @t454 () (not @t453)) % 1.12/1.33 (define @t455 () (@list @t257 @t20)) % 1.12/1.33 (define @t456 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t84 @t97)) % 1.12/1.33 (define @t457 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t100)) % 1.12/1.33 (define @t458 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t209 @t408)) % 1.12/1.33 (define @t459 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t40)) % 1.12/1.33 (define @t460 () (@var "B_d" $$unsorted)) % 1.12/1.33 (define @t461 () (@var "V_P_2" $$unsorted)) % 1.12/1.33 (define @t462 () (tptp.hBOOL (tptp.hAPP @t461 @t460))) % 1.12/1.33 (define @t463 () (= @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t460))) % 1.12/1.33 (define @t464 () (@list @t460)) % 1.12/1.33 (define @t465 () (tptp.hBOOL (tptp.hAPP @t461 @t438))) % 1.12/1.33 (define @t466 () (not @t465)) % 1.12/1.33 (define @t467 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t120)) % 1.12/1.33 (define @t468 () (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t120)))) % 1.12/1.33 (define @t469 () (@list @t120 @t122 @t461)) % 1.12/1.33 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t258)) % 1.12/1.33 (define @t471 () (@list @t258 @t257)) % 1.12/1.33 (define @t472 () (tptp.class_Groups_Oab__group__add @t20)) % 1.12/1.33 (define @t473 () (@var "V_n_2" $$unsorted)) % 1.12/1.33 (define @t474 () (@var "V_ma_2" $$unsorted)) % 1.12/1.33 (define @t475 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t473)) % 1.12/1.33 (define @t476 () (@list @t474 @t473)) % 1.12/1.33 (define @t477 () (@list @t258)) % 1.12/1.33 (define @t478 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t257)) % 1.12/1.33 (define @t479 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t258)) % 1.12/1.33 (define @t480 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t257)) % 1.12/1.33 (define @t481 () (= @t258 @t257)) % 1.12/1.33 (define @t482 () (= @t478 @t438)) % 1.12/1.33 (define @t483 () (@list @t257 @t258)) % 1.12/1.33 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t258 @t257)) % 1.12/1.33 (define @t485 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t258 @t257)) % 1.12/1.33 (define @t486 () (@var "V_k_2" $$unsorted)) % 1.12/1.33 (define @t487 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t473 @t486)) % 1.12/1.33 (define @t488 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t474 @t486)) % 1.12/1.33 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t486 @t473)) % 1.12/1.33 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t486 @t474)) % 1.12/1.33 (define @t491 () (@list @t473 @t474 @t486)) % 1.12/1.33 (define @t492 () (@list @t100 @t84 @t85)) % 1.12/1.33 (define @t493 () (not @t481)) % 1.12/1.33 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t473)) % 1.12/1.33 (define @t495 () (@list @t473 @t474)) % 1.12/1.33 (define @t496 () (= @t474 @t473)) % 1.12/1.33 (define @t497 () (or @t475 @t496)) % 1.12/1.33 (define @t498 () (not @t496)) % 1.12/1.33 (define @t499 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t85)) % 1.12/1.33 (define @t500 () (tptp.class_Groups_Ogroup__add @t20)) % 1.12/1.33 (define @t501 () (tptp.hAPP @t461 @t473)) % 1.12/1.33 (define @t502 () (tptp.hBOOL (tptp.hAPP @t501 @t474))) % 1.12/1.33 (define @t503 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t474)) % 1.12/1.33 (define @t504 () (@var "V_l" $$unsorted)) % 1.12/1.33 (define @t505 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t504 @t258)) % 1.12/1.33 (define @t506 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t504 @t257)) % 1.12/1.33 (define @t507 () (@list @t504 @t257 @t258)) % 1.12/1.33 (define @t508 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 @t70)) % 1.12/1.33 (define @t509 () (@var "V_t" $$unsorted)) % 1.12/1.33 (define @t510 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t258)) % 1.12/1.33 (define @t511 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t19)) % 1.12/1.33 (define @t512 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t72)) % 1.12/1.33 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t70 @t257)) % 1.12/1.33 (define @t514 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t70 @t504)) % 1.12/1.33 (define @t515 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t504)) % 1.12/1.33 (define @t516 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t70)) % 1.12/1.33 (define @t517 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t72)) % 1.12/1.33 (define @t518 () (@list @t504 @t70 @t72 @t71)) % 1.12/1.33 (define @t519 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t70)) % 1.12/1.33 (define @t520 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t72)) % 1.12/1.33 (define @t521 () (@list @t258 @t72 @t71)) % 1.12/1.33 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t258)) % 1.12/1.33 (define @t523 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t478) @t258)) % 1.12/1.33 (define @t524 () (not @t485)) % 1.12/1.33 (define @t525 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t486 @t473)) % 1.12/1.33 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t486 @t474)) % 1.12/1.33 (define @t527 () (@var "V_j_2" $$unsorted)) % 1.12/1.33 (define @t528 () (@var "V_i_2" $$unsorted)) % 1.12/1.33 (define @t529 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 @t486)) % 1.12/1.33 (define @t530 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t486)) % 1.12/1.33 (define @t531 () (@list @t486 @t527 @t528)) % 1.12/1.33 (define @t532 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t71)) % 1.12/1.33 (define @t533 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t84)) % 1.12/1.33 (define @t534 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t84)) % 1.12/1.33 (define @t535 () (= @t534 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t533))) % 1.12/1.33 (define @t536 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t19)) % 1.12/1.33 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t13 @t19)) % 1.12/1.33 (define @t538 () (tptp.class_Rings_Ocomm__ring__1 @t20)) % 1.12/1.33 (define @t539 () (tptp.c_Groups_Ominus__class_Ominus @t347 @t351 @t349)) % 1.12/1.33 (define @t540 () (tptp.class_Rings_Ocomm__ring @t20)) % 1.12/1.33 (define @t541 () (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t351)) % 1.12/1.33 (define @t542 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t13 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t19))) % 1.12/1.33 (define @t543 () (@var "B_n" $$unsorted)) % 1.12/1.33 (define @t544 () (@list @t543)) % 1.12/1.33 (define @t545 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t351) @t257)) % 1.12/1.33 (define @t546 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t349) @t257)) % 1.12/1.33 (define @t547 () (@list @t257 @t349 @t351 @t20)) % 1.12/1.33 (define @t548 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t84 @t85)) % 1.12/1.33 (define @t549 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t534)) % 1.12/1.33 (define @t550 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t122)) % 1.12/1.33 (define @t551 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t120)) % 1.12/1.33 (define @t552 () (= @t122 @t551)) % 1.12/1.33 (define @t553 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t122 @t120)) % 1.12/1.33 (define @t554 () (= @t553 (tptp.c_Groups_Ominus__class_Ominus @t20 @t148 @t424))) % 1.12/1.33 (define @t555 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t534)) % 1.12/1.33 (define @t556 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t84)) % 1.12/1.33 (define @t557 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t233 @t556)) % 1.12/1.33 (define @t558 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t559 () (tptp.hAPP @t558 @t258)) % 1.12/1.33 (define @t560 () (tptp.hAPP @t559 @t258)) % 1.12/1.33 (define @t561 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t257 @t258)) % 1.12/1.33 (define @t562 () (tptp.hAPP @t558 @t72)) % 1.12/1.33 (define @t563 () (tptp.hAPP @t562 @t70)) % 1.12/1.33 (define @t564 () (tptp.hAPP @t558 @t71)) % 1.12/1.33 (define @t565 () (tptp.hAPP @t564 @t70)) % 1.12/1.33 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t72)) % 1.12/1.33 (define @t567 () (tptp.hAPP @t558 @t70)) % 1.12/1.33 (define @t568 () (tptp.hAPP @t567 @t72)) % 1.12/1.33 (define @t569 () (tptp.hAPP @t567 @t71)) % 1.12/1.33 (define @t570 () (@list @t257 @t71)) % 1.12/1.33 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t70 @t504)) % 1.12/1.33 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t70 @t257)) % 1.12/1.33 (define @t573 () (@list @t257 @t258 @t70)) % 1.12/1.33 (define @t574 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t70)) % 1.12/1.33 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t574 @t257)) % 1.12/1.33 (define @t576 () (@list @t257 @t70 @t258)) % 1.12/1.33 (define @t577 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t70)) % 1.12/1.33 (define @t578 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t577 @t71)) % 1.12/1.33 (define @t579 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t532 @t70)) % 1.12/1.33 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t70 @t72)) % 1.12/1.33 (define @t581 () (@list @t71 @t72 @t70)) % 1.12/1.33 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t577)) % 1.12/1.33 (define @t583 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 @t70)) % 1.12/1.33 (define @t584 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t528)) % 1.12/1.33 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t527)) % 1.12/1.33 (define @t586 () (@var "B_k" $$unsorted)) % 1.12/1.33 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t586)) % 1.12/1.33 (define @t588 () (@list @t586)) % 1.12/1.33 (define @t589 () (@var "V_l_2" $$unsorted)) % 1.12/1.33 (define @t590 () (@list @t589 @t486)) % 1.12/1.33 (define @t591 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t257)) % 1.12/1.33 (define @t592 () (= @t553 @t34)) % 1.12/1.33 (define @t593 () (tptp.class_Groups_Oordered__ab__group__add @t20)) % 1.12/1.33 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t550 @t120)) % 1.12/1.33 (define @t595 () (tptp.c_Orderings_Oord__class_Oless @t20 @t550 @t120)) % 1.12/1.33 (define @t596 () (tptp.hAPP @t29 @t537)) % 1.12/1.33 (define @t597 () (tptp.hAPP @t86 @t533)) % 1.12/1.33 (define @t598 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t87)) % 1.12/1.33 (define @t599 () (tptp.class_Rings_Oring @t20)) % 1.12/1.33 (define @t600 () (tptp.hAPP @t29 @t499)) % 1.12/1.33 (define @t601 () (tptp.hAPP @t600 @t84)) % 1.12/1.33 (define @t602 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t13)) % 1.12/1.33 (define @t603 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t209)) % 1.12/1.33 (define @t604 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t605 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t604)) % 1.12/1.33 (define @t606 () (tptp.hAPP @t559 @t257)) % 1.12/1.33 (define @t607 () (= @t258 @t438)) % 1.12/1.33 (define @t608 () (not @t607)) % 1.12/1.33 (define @t609 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t548)) % 1.12/1.33 (define @t610 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t534)) % 1.12/1.33 (define @t611 () (tptp.c_Groups_Oabs__class_Oabs @t347 @t13)) % 1.12/1.33 (define @t612 () (tptp.c_Orderings_Oord__class_Oless @t347 @t13 @t356)) % 1.12/1.33 (define @t613 () (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t13)) % 1.12/1.33 (define @t614 () (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t499 @t85) @t34)) % 1.12/1.33 (define @t615 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t35)) % 1.12/1.33 (define @t616 () (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t20 @t13 @t85))) % 1.12/1.33 (define @t617 () (tptp.hAPP @t616 @t84)) % 1.12/1.33 (define @t618 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t19 @t84)) % 1.12/1.33 (define @t619 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t31 @t87)) % 1.12/1.33 (define @t620 () (@list @t84 @t85 @t19 @t13 @t20)) % 1.12/1.33 (define @t621 () (@var "V_e_2" $$unsorted)) % 1.12/1.33 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t20 @t120 @t122)) @t621) @t424)) % 1.12/1.33 (define @t623 () (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t247 @t621) @t424)) % 1.12/1.33 (define @t624 () (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t126 @t621) @t148)) % 1.12/1.33 (define @t625 () (= @t624 @t623)) % 1.12/1.33 (define @t626 () (@list @t424 @t120 @t148 @t621 @t122 @t20)) % 1.12/1.33 (define @t627 () (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP (tptp.hAPP @t29 @t553) @t621) @t148)) % 1.12/1.33 (define @t628 () (tptp.class_Rings_Oring__1__no__zero__divisors @t20)) % 1.12/1.33 (define @t629 () (tptp.c_Groups_Ominus__class_Ominus @t20 @t164 @t163)) % 1.12/1.33 (define @t630 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t499 @t84)) % 1.12/1.33 (define @t631 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t35)) % 1.12/1.33 (define @t632 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t35 @t49)) % 1.12/1.33 (define @t633 () (@list @t122 @t35)) % 1.12/1.33 (define @t634 () (@var "V_ra_2" $$unsorted)) % 1.12/1.33 (define @t635 () (tptp.c_Groups_Osgn__class_Osgn @t347 @t13)) % 1.12/1.33 (define @t636 () (tptp.c_Orderings_Oord__class_Oless @t347 @t356 @t13)) % 1.12/1.33 (define @t637 () (= @t13 @t356)) % 1.12/1.33 (define @t638 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t624 @t623)) % 1.12/1.33 (define @t639 () (tptp.c_Orderings_Oord__class_Oless @t20 @t624 @t623)) % 1.12/1.33 (define @t640 () (tptp.class_Rings_Oring__1 @t20)) % 1.12/1.33 (define @t641 () (= @t164 @t499)) % 1.12/1.33 (define @t642 () (=> @t239 @t641)) % 1.12/1.33 (define @t643 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t15)) % 1.12/1.33 (define @t644 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t85)) % 1.12/1.33 (define @t645 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t85)) % 1.12/1.33 (define @t646 () (= @t85 @t8)) % 1.12/1.33 (define @t647 () (@list @t85)) % 1.12/1.33 (define @t648 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t85)) % 1.12/1.33 (define @t649 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t85 @t8)) % 1.12/1.33 (define @t650 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 @t8)) % 1.12/1.33 (define @t651 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t258)) % 1.12/1.33 (define @t652 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t504)) % 1.12/1.33 (define @t653 () (= @t473 @t438)) % 1.12/1.33 (define @t654 () (@list @t473)) % 1.12/1.33 (define @t655 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t486)) % 1.12/1.33 (define @t656 () (=> @t655 @t494)) % 1.12/1.33 (define @t657 () (tptp.hAPP @t558 @t486)) % 1.12/1.33 (define @t658 () (tptp.hAPP @t657 @t473)) % 1.12/1.33 (define @t659 () (tptp.hAPP @t657 @t474)) % 1.12/1.33 (define @t660 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t659 @t658)) % 1.12/1.33 (define @t661 () (tptp.hAPP (tptp.hAPP @t558 @t473) @t486)) % 1.12/1.33 (define @t662 () (tptp.hAPP @t558 @t474)) % 1.12/1.33 (define @t663 () (tptp.hAPP @t662 @t486)) % 1.12/1.33 (define @t664 () (@list @t473 @t486 @t474)) % 1.12/1.33 (define @t665 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t70)) % 1.12/1.33 (define @t666 () (= @t486 @t438)) % 1.12/1.33 (define @t667 () (or @t496 @t666)) % 1.12/1.33 (define @t668 () (= @t659 @t658)) % 1.12/1.33 (define @t669 () (and @t655 @t475)) % 1.12/1.33 (define @t670 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t659 @t658)) % 1.12/1.33 (define @t671 () (= @t474 @t438)) % 1.12/1.33 (define @t672 () (tptp.hAPP @t662 @t473)) % 1.12/1.33 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t473)) % 1.12/1.33 (define @t674 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t474)) % 1.12/1.33 (define @t675 () (not @t653)) % 1.12/1.33 (define @t676 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t473)) % 1.12/1.33 (define @t677 () (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t13)) % 1.12/1.33 (define @t678 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t13)) % 1.12/1.33 (define @t679 () (@var "V_u_2" $$unsorted)) % 1.12/1.33 (define @t680 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t584) @t679) @t473)) % 1.12/1.33 (define @t681 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t527) @t679) @t473)) % 1.12/1.33 (define @t682 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t528) @t679) @t474)) % 1.12/1.33 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t682 @t681)) % 1.12/1.33 (define @t684 () (@list @t473 @t474 @t679 @t527 @t528)) % 1.12/1.33 (define @t685 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t528 @t527)) @t679) @t474)) % 1.12/1.33 (define @t686 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t528)) % 1.12/1.33 (define @t687 () (@list @t473 @t474 @t679 @t528 @t527)) % 1.12/1.33 (define @t688 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t19 @t66)) % 1.12/1.33 (define @t689 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t70)) % 1.12/1.33 (define @t690 () (@list @t70 @t257 @t258)) % 1.12/1.33 (define @t691 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t71 @t72)) % 1.12/1.33 (define @t692 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t691 @t70)) % 1.12/1.33 (define @t693 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t70 @t258)) % 1.12/1.33 (define @t694 () (tptp.hAPP @t558 @t257)) % 1.12/1.33 (define @t695 () (tptp.hAPP @t694 @t70)) % 1.12/1.33 (define @t696 () (tptp.hAPP @t559 @t70)) % 1.12/1.33 (define @t697 () (tptp.hAPP @t567 @t257)) % 1.12/1.33 (define @t698 () (tptp.hAPP @t567 @t258)) % 1.12/1.33 (define @t699 () (tptp.hAPP @t694 @t258)) % 1.12/1.33 (define @t700 () (and (= @t474 @t604) (= @t473 @t604))) % 1.12/1.33 (define @t701 () (tptp.hAPP @t562 @t176)) % 1.12/1.33 (define @t702 () (tptp.hAPP @t564 @t176)) % 1.12/1.33 (define @t703 () (= @t682 @t681)) % 1.12/1.33 (define @t704 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t702 @t258) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t701 @t257))) % 1.12/1.33 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t682 @t681)) % 1.12/1.33 (define @t706 () (tptp.c_RComplete_Onatceiling @t13)) % 1.12/1.33 (define @t707 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t13 @t15)) % 1.12/1.33 (define @t708 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t13)) % 1.12/1.33 (define @t709 () (tptp.c_RComplete_Onatfloor @t13)) % 1.12/1.33 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t688)) % 1.12/1.33 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t19)) % 1.12/1.33 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t8)) % 1.12/1.33 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t35)) % 1.12/1.33 (define @t714 () (tptp.c_RComplete_Onatfloor @t35)) % 1.12/1.33 (define @t715 () (tptp.c_RComplete_Onatceiling @t35)) % 1.12/1.33 (define @t716 () (tptp.c_RComplete_Onatfloor @t85)) % 1.12/1.33 (define @t717 () (@list @t84 @t85)) % 1.12/1.33 (define @t718 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t688)) % 1.12/1.33 (define @t719 () (@list @t19 @t66 @t13)) % 1.12/1.33 (define @t720 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t604)) % 1.12/1.33 (define @t721 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t257)) % 1.12/1.33 (define @t722 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t721 @t15)) % 1.12/1.33 (define @t723 () (@list @t13 @t257)) % 1.12/1.33 (define @t724 () (= @t473 @t474)) % 1.12/1.33 (define @t725 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t474)) % 1.12/1.33 (define @t726 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t473)) % 1.12/1.33 (define @t727 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t13)) % 1.12/1.33 (define @t728 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t474)) % 1.12/1.33 (define @t729 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t258)) % 1.12/1.33 (define @t730 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t709)) % 1.12/1.33 (define @t731 () (@list @t85 @t13)) % 1.12/1.33 (define @t732 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t85)) % 1.12/1.33 (define @t733 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t122)) % 1.12/1.33 (define @t734 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t35)) % 1.12/1.33 (define @t735 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t13 @t732)) % 1.12/1.33 (define @t736 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t732 @t13)) % 1.12/1.33 (define @t737 () (@list @t13 @t85)) % 1.12/1.33 (define @t738 () (@list @t257 @t13)) % 1.12/1.33 (define @t739 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t13 @t732)) % 1.12/1.33 (define @t740 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t543)) % 1.12/1.33 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t18)) % 1.12/1.33 (define @t742 () (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t49)) % 1.12/1.33 (define @t743 () (tptp.class_Lattices_Oboolean__algebra @t20)) % 1.12/1.33 (define @t744 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t20)) % 1.12/1.33 (define @t745 () (@var "V_B_2" $$unsorted)) % 1.12/1.33 (define @t746 () (@var "V_A_2" $$unsorted)) % 1.12/1.33 (define @t747 () (tptp.hAPP @t746 @t35)) % 1.12/1.33 (define @t748 () (tptp.tc_fun @t361 @t20)) % 1.12/1.33 (define @t749 () (@var "B_y" $$unsorted)) % 1.12/1.33 (define @t750 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t13 @t749)) @t460)) % 1.12/1.33 (define @t751 () (@list @t749)) % 1.12/1.33 (define @t752 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t460)) % 1.12/1.33 (define @t753 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t84)) % 1.12/1.33 (define @t754 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t85 @t13)) % 1.12/1.33 (define @t755 () (@list @t84 @t13 @t85)) % 1.12/1.33 (define @t756 () (@var "B_i" $$unsorted)) % 1.12/1.33 (define @t757 () (tptp.hBOOL (tptp.hAPP @t461 @t756))) % 1.12/1.33 (define @t758 () (@list @t756)) % 1.12/1.33 (define @t759 () (tptp.c_Polynomial_Opos__poly @t20 (tptp.c_Groups_Ominus__class_Ominus @t347 @t49 @t35))) % 1.12/1.33 (define @t760 () (tptp.c_Polynomial_Opos__poly @t20 @t349)) % 1.12/1.33 (define @t761 () (tptp.c_Polynomial_Opos__poly @t20 @t351)) % 1.12/1.33 (define @t762 () (@list @t349 @t351 @t20)) % 1.12/1.33 (define @t763 () (@var "V_M_2" $$unsorted)) % 1.12/1.33 (define @t764 () (@var "V_X_2" $$unsorted)) % 1.12/1.33 (define @t765 () (tptp.hAPP @t764 @t763)) % 1.12/1.33 (define @t766 () (tptp.hAPP @t764 @t543)) % 1.12/1.33 (define @t767 () (tptp.c_RealVector_Onorm__class_Onorm @t361 @t766)) % 1.12/1.33 (define @t768 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t763 @t543)) % 1.12/1.33 (define @t769 () (tptp.class_RealVector_Oreal__normed__vector @t361)) % 1.12/1.33 (define @t770 () (tptp.hAPP @t10 @t740)) % 1.12/1.33 (define @t771 () (tptp.hAPP @t764 @t293)) % 1.12/1.33 (define @t772 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t293 @t543)) % 1.12/1.33 (define @t773 () (@list @t293 @t543)) % 1.12/1.33 (define @t774 () (@list @t764 @t20)) % 1.12/1.33 (define @t775 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t776 () (tptp.hAPP @t10 @t721)) % 1.12/1.33 (define @t777 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t766)) % 1.12/1.33 (define @t778 () (exists @t432 (and @t431 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t777 @t428))))) % 1.12/1.33 (define @t779 () (tptp.c_SEQ_OBseq @t20 @t764)) % 1.12/1.33 (define @t780 () (tptp.hAPP (tptp.hAPP @t775 @t25) @t257)) % 1.12/1.33 (define @t781 () (tptp.c_Power_Opower__class_Opower @t20)) % 1.12/1.33 (define @t782 () (tptp.hAPP @t781 @t13)) % 1.12/1.33 (define @t783 () (tptp.hAPP @t782 @t257)) % 1.12/1.33 (define @t784 () (tptp.c_RealVector_Onorm__class_Onorm @t20 @t783)) % 1.12/1.33 (define @t785 () (@list @t257 @t13 @t20)) % 1.12/1.33 (define @t786 () (tptp.hAPP @t782 @t349)) % 1.12/1.33 (define @t787 () (tptp.hAPP @t782 @t351)) % 1.12/1.33 (define @t788 () (@list @t349 @t351 @t13 @t20)) % 1.12/1.33 (define @t789 () (tptp.hAPP @t781 @t19)) % 1.12/1.33 (define @t790 () (tptp.hAPP @t29 @t786)) % 1.12/1.33 (define @t791 () (tptp.hAPP @t558 @t351)) % 1.12/1.33 (define @t792 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t604)) % 1.12/1.33 (define @t793 () (tptp.hAPP @t781 @t258)) % 1.12/1.33 (define @t794 () (tptp.hAPP @t793 @t257)) % 1.12/1.33 (define @t795 () (tptp.class_Power_Opower @t20)) % 1.12/1.33 (define @t796 () (tptp.hAPP @t781 @t84)) % 1.12/1.33 (define @t797 () (tptp.hAPP @t796 @t257)) % 1.12/1.33 (define @t798 () (tptp.hAPP @t781 @t85)) % 1.12/1.33 (define @t799 () (tptp.hAPP @t798 @t257)) % 1.12/1.33 (define @t800 () (tptp.c_Orderings_Oord__class_Oless @t20 @t799 @t797)) % 1.12/1.33 (define @t801 () (@list @t257 @t84 @t85 @t20)) % 1.12/1.33 (define @t802 () (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t85)) % 1.12/1.33 (define @t803 () (@list @t257 @t85 @t20)) % 1.12/1.33 (define @t804 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t35)) % 1.12/1.33 (define @t805 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t806 () (tptp.hAPP @t805 @t35)) % 1.12/1.33 (define @t807 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 (tptp.hAPP @t806 @t473))) % 1.12/1.33 (define @t808 () (@list @t473 @t35)) % 1.12/1.33 (define @t809 () (tptp.hAPP @t805 @t71)) % 1.12/1.33 (define @t810 () (tptp.hAPP @t809 @t257)) % 1.12/1.33 (define @t811 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.33 (define @t812 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.12/1.33 (define @t813 () (tptp.hAPP @t812 @t13)) % 1.12/1.33 (define @t814 () (tptp.hAPP @t813 @t19)) % 1.12/1.33 (define @t815 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.12/1.33 (define @t816 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t805 @t258) @t257))) % 1.12/1.33 (define @t817 () (tptp.hAPP (tptp.hAPP @t775 @t729) @t257)) % 1.12/1.33 (define @t818 () (tptp.hAPP (tptp.hAPP @t775 @t13) @t257)) % 1.12/1.33 (define @t819 () (tptp.hAPP @t805 @t351)) % 1.12/1.33 (define @t820 () (tptp.hAPP @t819 @t258)) % 1.12/1.33 (define @t821 () (tptp.hAPP @t29 @t799)) % 1.12/1.33 (define @t822 () (tptp.hAPP @t86 @t799)) % 1.12/1.33 (define @t823 () (tptp.hAPP @t821 @t85)) % 1.12/1.33 (define @t824 () (tptp.hAPP @t798 @t258)) % 1.12/1.33 (define @t825 () (@list @t257 @t258 @t85 @t20)) % 1.12/1.33 (define @t826 () (tptp.hAPP (tptp.hAPP @t781 @t164) @t257)) % 1.12/1.33 (define @t827 () (tptp.c_Groups_Oabs__class_Oabs @t20 @t799)) % 1.12/1.33 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t40 @t85)) % 1.12/1.33 (define @t829 () (tptp.hAPP @t781 @t122)) % 1.12/1.33 (define @t830 () (tptp.hAPP @t829 @t473)) % 1.12/1.33 (define @t831 () (tptp.hAPP (tptp.hAPP @t781 @t499) @t257)) % 1.12/1.33 (define @t832 () (@list @t84 @t257 @t85 @t20)) % 1.12/1.33 (define @t833 () (tptp.hAPP @t781 @t34)) % 1.12/1.33 (define @t834 () (tptp.hAPP @t833 @t257)) % 1.12/1.33 (define @t835 () (and @t795 (tptp.class_Rings_Osemiring__0 @t20))) % 1.12/1.33 (define @t836 () (@var "V_N" $$unsorted)) % 1.12/1.33 (define @t837 () (tptp.hAPP @t798 @t836)) % 1.12/1.33 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t836)) % 1.12/1.33 (define @t839 () (@list @t85 @t836 @t257 @t20)) % 1.12/1.33 (define @t840 () (tptp.hAPP @t781 @t120)) % 1.12/1.33 (define @t841 () (tptp.hAPP @t840 @t49)) % 1.12/1.33 (define @t842 () (tptp.hAPP @t840 @t35)) % 1.12/1.33 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t120)) % 1.12/1.33 (define @t844 () (@list @t49 @t35 @t120 @t20)) % 1.12/1.33 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t257 @t836)) % 1.12/1.33 (define @t846 () (tptp.c_Orderings_Oord__class_Oless @t20 @t85 @t40)) % 1.12/1.33 (define @t847 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t586)) % 1.12/1.33 (define @t848 () (@var "B_N" $$unsorted)) % 1.12/1.33 (define @t849 () (@list @t848)) % 1.12/1.33 (define @t850 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t422 @t169)) % 1.12/1.33 (define @t851 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.33 (define @t852 () (@list @t169 @t422)) % 1.12/1.33 (define @t853 () (@list @t169)) % 1.12/1.33 (define @t854 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t422 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t169 @t851))) % 1.12/1.33 (define @t855 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t851 @t66)) % 1.12/1.33 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t64 @t66)) % 1.12/1.33 (define @t857 () (@var "V_z_H" $$unsorted)) % 1.12/1.33 (define @t858 () (@var "V_w_H" $$unsorted)) % 1.12/1.33 (define @t859 () (tptp.hAPP @t815 @t66)) % 1.12/1.33 (define @t860 () (tptp.hAPP @t815 @t64)) % 1.12/1.33 (define @t861 () (tptp.hAPP @t859 @t64)) % 1.12/1.33 (define @t862 () (tptp.hAPP @t815 @t189)) % 1.12/1.33 (define @t863 () (tptp.hAPP @t815 @t191)) % 1.12/1.33 (define @t864 () (tptp.hAPP @t862 @t64)) % 1.12/1.33 (define @t865 () (tptp.hAPP @t863 @t64)) % 1.12/1.33 (define @t866 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t191 @t189)) % 1.12/1.33 (define @t867 () (tptp.hAPP @t860 @t189)) % 1.12/1.33 (define @t868 () (tptp.hAPP @t860 @t191)) % 1.12/1.33 (define @t869 () (@list @t189 @t191 @t64)) % 1.12/1.33 (define @t870 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 @t72)) % 1.12/1.33 (define @t871 () (tptp.hAPP @t815 @t70)) % 1.12/1.33 (define @t872 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t70)) % 1.12/1.33 (define @t873 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t191 @t189)) % 1.12/1.33 (define @t874 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t66)) % 1.12/1.33 (define @t875 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t71)) % 1.12/1.33 (define @t876 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t71)) % 1.12/1.33 (define @t877 () (= @t71 @t811)) % 1.12/1.33 (define @t878 () (@list @t71)) % 1.12/1.33 (define @t879 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t71)) % 1.12/1.33 (define @t880 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 @t811)) % 1.12/1.33 (define @t881 () (@var "V_one_2" $$unsorted)) % 1.12/1.33 (define @t882 () (@var "V_times_2" $$unsorted)) % 1.12/1.33 (define @t883 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t20 @t881 @t882) @t122)) % 1.12/1.33 (define @t884 () (tptp.hAPP (tptp.hAPP @t815 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t13 @t66)) @t851)) @t97)) % 1.12/1.33 (define @t885 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t97)) % 1.12/1.33 (define @t886 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t64)) % 1.12/1.33 (define @t887 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t66 @t64)) % 1.12/1.33 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t66 @t886)) % 1.12/1.33 (define @t889 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t66 @t64)) % 1.12/1.33 (define @t890 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t64 @t66)) % 1.12/1.33 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t66 @t64)) % 1.12/1.33 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t71 @t72)) % 1.12/1.33 (define @t893 () (= @t85 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t18 (tptp.hAPP (tptp.hAPP @t815 @t85) @t349)))) % 1.12/1.33 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t85)) % 1.12/1.33 (define @t895 () (@list @t349 @t18 @t85)) % 1.12/1.33 (define @t896 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t18)) % 1.12/1.33 (define @t897 () (@var "V_q_H" $$unsorted)) % 1.12/1.33 (define @t898 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t224)) % 1.12/1.33 (define @t899 () (@var "V_r_H" $$unsorted)) % 1.12/1.33 (define @t900 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t899 @t224)) % 1.12/1.33 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t815 @t224) @t897) @t899)) % 1.12/1.33 (define @t902 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t901)) % 1.12/1.33 (define @t903 () (@list @t899 @t897 @t224)) % 1.12/1.33 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t899)) % 1.12/1.33 (define @t905 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t901 @t811)) % 1.12/1.33 (define @t906 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t897 @t349)) % 1.12/1.33 (define @t907 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t18 @t84)) % 1.12/1.33 (define @t908 () (tptp.hAPP @t815 @t84)) % 1.12/1.33 (define @t909 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t908 @t349) @t18)) % 1.12/1.33 (define @t910 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t908 @t897) @t899) @t909)) % 1.12/1.33 (define @t911 () (@list @t18 @t349 @t899 @t897 @t84)) % 1.12/1.33 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t349 @t897)) % 1.12/1.33 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t224 @t84)) % 1.12/1.33 (define @t914 () (= @t909 @t901)) % 1.12/1.33 (define @t915 () (@list @t899 @t897 @t224 @t18 @t349 @t84)) % 1.12/1.33 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t13)) % 1.12/1.33 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t19)) % 1.12/1.33 (define @t918 () (tptp.c_Nat__Transfer_Otsub @t13 @t19)) % 1.12/1.33 (define @t919 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t19 @t13)) % 1.12/1.33 (define @t920 () (=> @t919 (= @t918 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t13 @t19)))) % 1.12/1.33 (define @t921 () (@list @t13 @t19)) % 1.12/1.33 (define @t922 () (@var "V_K_2" $$unsorted)) % 1.12/1.33 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t777 @t922)) % 1.12/1.33 (define @t924 () (tptp.hAPP @t815 @t486)) % 1.12/1.33 (define @t925 () (tptp.hAPP @t924 @t424)) % 1.12/1.33 (define @t926 () (tptp.hBOOL (tptp.hAPP @t461 @t3))) % 1.12/1.33 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t486)) % 1.12/1.33 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t424)) % 1.12/1.33 (define @t929 () (@list @t486 @t461 @t424)) % 1.12/1.33 (define @t930 () (@list @t85 @t257)) % 1.12/1.33 (define @t931 () (@var "B_r" $$unsorted)) % 1.12/1.33 (define @t932 () (tptp.c_Transcendental_Oln @t13)) % 1.12/1.33 (define @t933 () (tptp.c_Transcendental_Oln @t49)) % 1.12/1.33 (define @t934 () (tptp.c_Transcendental_Oln @t35)) % 1.12/1.33 (define @t935 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t49)) % 1.12/1.33 (define @t936 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t35)) % 1.12/1.33 (define @t937 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t932)) % 1.12/1.33 (define @t938 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t13)) % 1.12/1.33 (define @t939 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t932)) % 1.12/1.33 (define @t940 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t13)) % 1.12/1.33 (define @t941 () (tptp.hAPP @t2 @t756)) % 1.12/1.33 (define @t942 () (@var "V_N_2" $$unsorted)) % 1.12/1.33 (define @t943 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t848))) % 1.12/1.33 (define @t944 () (exists @t432 (and @t431 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t767 @t428))))) % 1.12/1.33 (define @t945 () (@list @t764 @t361)) % 1.12/1.33 (define @t946 () (tptp.c_Nat_OSuc @t257)) % 1.12/1.33 (define @t947 () (tptp.c_Nat_OSuc @t258)) % 1.12/1.33 (define @t948 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t947 @t946)) % 1.12/1.33 (define @t949 () (tptp.c_Nat_OSuc @t438)) % 1.12/1.33 (define @t950 () (tptp.c_Nat_OSuc @t949)) % 1.12/1.33 (define @t951 () (@list @t258 @t71)) % 1.12/1.33 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t947 @t257)) % 1.12/1.33 (define @t953 () (tptp.c_Nat_OSuc @t474)) % 1.12/1.33 (define @t954 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t953)) % 1.12/1.33 (define @t955 () (= @t954 @t724)) % 1.12/1.33 (define @t956 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t258 @t946)) % 1.12/1.33 (define @t957 () (tptp.c_Nat_OSuc @t473)) % 1.12/1.33 (define @t958 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t957)) % 1.12/1.33 (define @t959 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t957 @t474)) % 1.12/1.33 (define @t960 () (tptp.hAPP @t558 (tptp.c_Nat_OSuc @t486))) % 1.12/1.33 (define @t961 () (tptp.hAPP @t960 @t473)) % 1.12/1.33 (define @t962 () (tptp.hAPP @t960 @t474)) % 1.12/1.33 (define @t963 () (= @t473 @t949)) % 1.12/1.33 (define @t964 () (= @t474 @t949)) % 1.12/1.33 (define @t965 () (or (and @t964 @t653) (and @t671 @t963))) % 1.12/1.33 (define @t966 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t947 @t257)) % 1.12/1.33 (define @t967 () (tptp.c_Nat_OSuc @t591)) % 1.12/1.33 (define @t968 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t946)) % 1.12/1.33 (define @t969 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t947 @t257)) % 1.12/1.33 (define @t970 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t258 @t946)) % 1.12/1.33 (define @t971 () (@var "V_nat_H_2" $$unsorted)) % 1.12/1.33 (define @t972 () (@var "V_nat_2" $$unsorted)) % 1.12/1.33 (define @t973 () (@var "V_nat_H_1" $$unsorted)) % 1.12/1.33 (define @t974 () (@var "V_nat_H" $$unsorted)) % 1.12/1.33 (define @t975 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t947 @t257)) % 1.12/1.33 (define @t976 () (tptp.c_Nat_OSuc @t71)) % 1.12/1.33 (define @t977 () (@var "B_j" $$unsorted)) % 1.12/1.33 (define @t978 () (@list @t977)) % 1.12/1.33 (define @t979 () (tptp.hAPP @t782 (tptp.c_Nat_OSuc @t349))) % 1.12/1.33 (define @t980 () (@list @t349 @t13 @t20)) % 1.12/1.33 (define @t981 () (tptp.hAPP @t30 @t786)) % 1.12/1.33 (define @t982 () (tptp.hAPP @t798 @t946)) % 1.12/1.33 (define @t983 () (tptp.hAPP @t796 @t946)) % 1.12/1.33 (define @t984 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t949 @t258)) % 1.12/1.33 (define @t985 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t949 @t257)) % 1.12/1.33 (define @t986 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t946)) % 1.12/1.33 (define @t987 () (tptp.c_Nat_OSuc @t72)) % 1.12/1.33 (define @t988 () (tptp.c_Nat_OSuc @t577)) % 1.12/1.33 (define @t989 () (@list @t258 @t72 @t70)) % 1.12/1.33 (define @t990 () (tptp.c_Nat_OSuc @t792)) % 1.12/1.33 (define @t991 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t543))) % 1.12/1.33 (define @t992 () (tptp.hAPP @t812 @t70)) % 1.12/1.33 (define @t993 () (tptp.class_Divides_Osemiring__div @t20)) % 1.12/1.33 (define @t994 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 @t84)) % 1.12/1.33 (define @t995 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t84)) % 1.12/1.33 (define @t996 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t85)) % 1.12/1.33 (define @t997 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t122 @t120)) % 1.12/1.33 (define @t998 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t997 @t811)) % 1.12/1.33 (define @t999 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t120)) % 1.12/1.33 (define @t1000 () (@list @t122 @t120)) % 1.12/1.33 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t120 @t811)) % 1.12/1.33 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t84)) % 1.12/1.33 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t85 @t811)) % 1.12/1.33 (define @t1004 () (tptp.c_Divides_Odiv__class_Odiv @t20 @t85 @t84)) % 1.12/1.33 (define @t1005 () (tptp.c_Divides_Odiv__class_Odiv @t20 @t110 @t109)) % 1.12/1.33 (define @t1006 () (= @t100 @t34)) % 1.12/1.33 (define @t1007 () (not @t1006)) % 1.12/1.33 (define @t1008 () (=> @t1007 (= @t1005 @t1004))) % 1.12/1.33 (define @t1009 () (= @t486 @t811)) % 1.12/1.33 (define @t1010 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t528 @t486)) % 1.12/1.33 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t122)) % 1.12/1.33 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t997)) % 1.12/1.33 (define @t1013 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t486)) % 1.12/1.33 (define @t1014 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 @t224)) % 1.12/1.33 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t85)) % 1.12/1.33 (define @t1016 () (@list @t84 @t224 @t85)) % 1.12/1.33 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t994 @t811)) % 1.12/1.33 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t811)) % 1.12/1.33 (define @t1019 () (= @t994 @t811)) % 1.12/1.33 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t85 @t811)) % 1.12/1.33 (define @t1021 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t215 @t84)) % 1.12/1.33 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t85 @t215)) % 1.12/1.33 (define @t1023 () (@list @t84 @t215 @t85)) % 1.12/1.33 (define @t1024 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t100 @t1004)) % 1.12/1.33 (define @t1025 () (tptp.c_Groups_Oplus__class_Oplus @t20 @t1004 @t40)) % 1.12/1.33 (define @t1026 () (= @t473 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t924 @t756) @t977))) % 1.12/1.33 (define @t1027 () (@list @t486 @t473 @t461)) % 1.12/1.33 (define @t1028 () (@var "V_b_1" $$unsorted)) % 1.12/1.33 (define @t1029 () (@var "V_a_1" $$unsorted)) % 1.12/1.33 (define @t1030 () (@var "V_r_1" $$unsorted)) % 1.12/1.33 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t1028)) % 1.12/1.33 (define @t1032 () (tptp.c_SMT_Oz3div @t70 @t504)) % 1.12/1.33 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t504)) % 1.12/1.33 (define @t1034 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t258 @t257)) % 1.12/1.33 (define @t1035 () (=> @t485 (= @t1034 @t438))) % 1.12/1.33 (define @t1036 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t698 @t697)) % 1.12/1.33 (define @t1037 () (= @t1036 @t1034)) % 1.12/1.33 (define @t1038 () (= @t70 @t438)) % 1.12/1.33 (define @t1039 () (tptp.c_Divides_Odiv__class_Odiv @t347 @t13 @t19)) % 1.12/1.33 (define @t1040 () (tptp.class_Fields_Ofield @t20)) % 1.12/1.33 (define @t1041 () (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t1039)) % 1.12/1.33 (define @t1042 () (=> @t524 (= @t1034 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t478 @t257))))) % 1.12/1.33 (define @t1043 () (@var "T_1" $$unsorted)) % 1.12/1.33 (define @t1044 () (tptp.tc_Polynomial_Opoly @t1043)) % 1.12/1.33 (define @t1045 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1043)) % 1.12/1.33 (define @t1046 () (@list @t1043)) % 1.12/1.33 (define @t1047 () (@var "T_2" $$unsorted)) % 1.12/1.33 (define @t1048 () (tptp.tc_fun @t1047 @t1043)) % 1.12/1.33 (define @t1049 () (@list @t1047 @t1043)) % 1.12/1.33 (define @t1050 () (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t1051 () (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t1052 () (tptp.class_Rings_Oidom @t1043)) % 1.12/1.33 (define @t1053 () (tptp.class_Rings_Olinordered__idom @t1043)) % 1.12/1.33 (define @t1054 () (tptp.class_Rings_Ocomm__semiring__0 @t1043)) % 1.12/1.33 (define @t1055 () (tptp.class_Rings_Ocomm__semiring__1 @t1043)) % 1.12/1.33 (define @t1056 () (tptp.class_Groups_Ocomm__monoid__add @t1043)) % 1.12/1.33 (define @t1057 () (tptp.class_Groups_Oab__group__add @t1043)) % 1.12/1.33 (define @t1058 () (tptp.class_Rings_Ocomm__ring__1 @t1043)) % 1.12/1.33 (define @t1059 () (tptp.class_Rings_Ocomm__ring @t1043)) % 1.12/1.33 (define @t1060 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t7)) % 1.12/1.33 (define @t1061 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1060 @t11))) % 1.12/1.33 (define @t1062 () (not @t89)) % 1.12/1.33 (define @t1063 () (not @t145)) % 1.12/1.33 (define @t1064 () (not @t278)) % 1.12/1.33 (define @t1065 () (or @t1063 @t1062 @t283)) % 1.12/1.33 (define @t1066 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t15)) % 1.12/1.33 (define @t1067 () (not @t1051)) % 1.12/1.33 (define @t1068 () (or @t1067 @t1066)) % 1.12/1.33 (define @t1069 () (not @t279)) % 1.12/1.33 (define @t1070 () (or @t1063 @t1069 @t252)) % 1.12/1.33 (define @t1071 () (not @t12)) % 1.12/1.33 (define @t1072 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t1060)) % 1.12/1.33 (define @t1073 () (not @t1072)) % 1.12/1.33 (define @t1074 () (not @t1050)) % 1.12/1.33 (define @t1075 () (or @t1074 @t1073 @t1071 @t1061)) % 1.12/1.33 (define @t1076 () (not @t9)) % 1.12/1.33 (define @t1077 () (not @t1066)) % 1.12/1.33 (define @t1078 () (or @t1074 @t1077 @t1076 @t1072)) % 1.12/1.33 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.12/1.33 (assume @p2 @t9) % 1.12/1.33 (assume @p3 @t12) % 1.12/1.33 (assume @p4 (forall @t16 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t14)))) % 1.12/1.33 (assume @p5 (forall @t16 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t14 @t15) @t13)))) % 1.12/1.33 (assume @p6 (forall @t28 (=> @t27 (=> @t26 (=> @t24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t18 @t17))))))) % 1.12/1.33 (assume @p7 (forall @t28 (=> @t33 (=> @t26 (=> @t24 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 (tptp.hAPP (tptp.hAPP @t10 @t18) @t17))))))) % 1.12/1.33 (assume @p8 (forall @t39 (=> @t27 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t38) @t37)))) % 1.12/1.33 (assume @p9 (forall @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t41)))) % 1.12/1.33 (assume @p10 (forall @t48 (=> @t47 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t46 @t34))))) % 1.12/1.33 (assume @p11 (forall @t55 (=> @t54 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t53) (or @t37 (not @t50)))))) % 1.12/1.33 (assume @p12 (forall @t60 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t59 (tptp.hAPP @t57 @t49)) @t8) (and @t56 (= @t49 @t8))))) % 1.12/1.33 (assume @p13 (forall @t43 (=> @t61 (= (tptp.c_RealVector_Onorm__class_Onorm @t20 @t40) @t15)))) % 1.12/1.33 (assume @p14 (forall @t62 (=> @t27 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t25 @t8))))) % 1.12/1.33 (assume @p15 (forall @t63 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t59)) @t56))) % 1.12/1.33 (assume @p16 (forall @t65 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t64 @t64))) % 1.12/1.33 (assume @p17 (forall @t69 (or @t68 @t67))) % 1.12/1.33 (assume @p18 (forall @t73 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72 @t70) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t70))))) % 1.12/1.33 (assume @p19 (forall @t69 (=> @t68 (=> @t67 @t74)))) % 1.12/1.33 (assume @p20 (forall @t60 (= @t77 (or @t76 @t75)))) % 1.12/1.33 (assume @p21 (forall @t60 (= @t76 (and @t77 @t78)))) % 1.12/1.33 (assume @p22 (forall @t80 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t18) @t79))) % 1.12/1.33 (assume @p23 (forall @t82 (=> @t81 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t66 @t13) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t66 @t19))))) % 1.12/1.33 (assume @p24 (forall @t83 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t64) (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 @t64 @t66)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t66))))) % 1.12/1.33 (assume @p25 (forall @t94 (=> @t93 (=> (or (and @t92 @t91) (and @t90 @t89)) @t88)))) % 1.12/1.33 (assume @p26 (forall @t94 (=> @t96 (=> (or (and @t92 @t89) (and @t90 @t91)) @t95)))) % 1.12/1.33 (assume @p27 (forall @t107 (=> @t106 (=> @t105 (=> @t104 (=> @t89 @t103)))))) % 1.12/1.33 (assume @p28 (forall @t107 (=> @t106 (=> @t105 (=> @t104 (=> @t92 @t103)))))) % 1.12/1.33 (assume @p29 (forall @t114 (=> @t96 (=> @t113 (=> @t112 @t111))))) % 1.12/1.33 (assume @p30 (forall @t114 (=> @t96 (=> @t113 (=> @t112 @t116))))) % 1.12/1.33 (assume @p31 (forall @t118 (=> (tptp.class_Rings_Oordered__comm__semiring @t20) @t117))) % 1.12/1.33 (assume @p32 (forall @t118 (=> @t106 @t117))) % 1.12/1.33 (assume @p33 (forall @t118 (=> @t106 (=> @t105 (=> @t102 @t116))))) % 1.12/1.33 (assume @p34 (forall @t94 (=> @t96 (=> @t90 (=> @t91 @t95))))) % 1.12/1.33 (assume @p35 (forall @t94 (=> @t93 (=> @t90 (=> @t89 @t88))))) % 1.12/1.33 (assume @p36 (forall @t94 (=> @t93 (=> @t92 (=> @t91 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t119 @t34)))))) % 1.12/1.33 (assume @p37 (forall @t94 (=> @t93 (=> @t92 (=> @t91 @t88))))) % 1.12/1.33 (assume @p38 (forall @t94 (=> @t93 (=> @t92 (=> @t89 @t95))))) % 1.12/1.33 (assume @p39 (forall @t128 (=> @t54 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t127 @t34) (or (and @t125 @t124) (and @t123 @t121)))))) % 1.12/1.33 (assume @p40 (forall @t128 (=> @t54 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t127) (or (and @t125 @t121) (and @t123 @t124)))))) % 1.12/1.33 (assume @p41 (forall @t130 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t129)))) % 1.12/1.33 (assume @p42 (forall @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t40)))) % 1.12/1.33 (assume @p43 (forall @t43 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t40 @t34))))) % 1.12/1.33 (assume @p44 (forall @t62 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t25)))) % 1.12/1.33 (assume @p45 (forall @t134 (=> @t133 (=> @t111 @t132)))) % 1.12/1.33 (assume @p46 (forall @t135 (=> @t133 (=> @t116 @t132)))) % 1.12/1.33 (assume @p47 (forall @t134 (=> @t133 @t139))) % 1.12/1.33 (assume @p48 (forall @t134 (=> @t140 @t139))) % 1.12/1.33 (assume @p49 (forall @t135 (=> @t133 @t142))) % 1.12/1.33 (assume @p50 (forall @t135 (=> @t140 @t142))) % 1.12/1.33 (assume @p51 (forall @t107 (=> @t133 (=> @t105 (=> @t146 (=> @t145 @t144)))))) % 1.12/1.33 (assume @p52 (forall @t107 (=> @t133 (=> @t136 (=> @t104 (=> @t92 (=> @t131 @t143))))))) % 1.12/1.33 (assume @p53 (forall @t107 (=> @t133 (=> @t136 (=> @t146 (=> @t92 @t144)))))) % 1.12/1.33 (assume @p54 (forall @t107 (=> @t133 (=> @t136 (=> @t146 (=> @t147 @t144)))))) % 1.12/1.33 (assume @p55 (forall @t154 (=> @t54 (=> @t153 (= @t152 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t120 @t122)))))) % 1.12/1.33 (assume @p56 (forall @t154 (=> @t54 (=> @t156 (= @t152 @t155))))) % 1.12/1.33 (assume @p57 (forall @t55 (=> @t54 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t53 @t34) @t157)))) % 1.12/1.33 (assume @p58 (forall @t48 (=> @t47 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t46)))) % 1.12/1.33 (assume @p59 (forall @t48 (=> @t162 (=> @t161 (=> @t160 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t158 @t13))))))) % 1.12/1.33 (assume @p60 (forall @t48 (=> @t162 (=> @t161 (=> @t160 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t31 @t13))))))) % 1.12/1.33 (assume @p61 (forall @t94 (=> (tptp.class_Rings_Oordered__ring__abs @t20) (=> (and (or @t92 @t90) (or @t89 @t91)) @t167)))) % 1.12/1.33 (assume @p62 (forall @t48 (=> @t162 (=> @t161 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oabs__class_Oabs @t20 @t19)) @t13) (tptp.c_Groups_Oabs__class_Oabs @t20 @t158)))))) % 1.12/1.33 (assume @p63 (forall @t39 (=> @t27 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t8) @t36)))) % 1.12/1.33 (assume @p64 (forall @t48 (=> @t33 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t168)))) % 1.12/1.33 (assume @p65 (forall @t172 (=> @t171 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t170 @t35) (tptp.hAPP @t170 @t49)) @t77)))) % 1.12/1.33 (assume @p66 (forall @t172 (=> @t171 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t174 @t173) @t77)))) % 1.12/1.33 (assume @p67 (forall @t48 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t25 @t23))))) % 1.12/1.33 (assume @p68 (forall @t181 (=> (tptp.class_Rings_Olinordered__semiring__1 @t20) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t13 @t85) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t19 @t85) (=> @t180 (=> @t179 (=> @t178 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t177 @t85))))))))) % 1.12/1.33 (assume @p69 (forall @t48 (=> @t162 @t187))) % 1.12/1.33 (assume @p70 (forall @t193 (= (tptp.hAPP (tptp.hAPP @t10 (tptp.hAPP @t192 @t189)) @t188) (tptp.hAPP @t192 (tptp.hAPP @t190 @t188))))) % 1.12/1.33 (assume @p71 (forall @t69 (= (tptp.hAPP @t194 @t64) (tptp.hAPP (tptp.hAPP @t10 @t64) @t66)))) % 1.12/1.33 (assume @p72 (forall @t181 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t20) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t13 @t85) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t19 @t85) (=> @t180 (=> @t179 (=> @t178 (tptp.c_Orderings_Oord__class_Oless @t20 @t177 @t85))))))))) % 1.12/1.33 (assume @p73 (forall @t94 (=> @t198 (=> @t197 (or @t196 @t195))))) % 1.12/1.33 (assume @p74 (forall @t94 (=> @t198 (=> @t200 (=> @t199 (not @t197)))))) % 1.12/1.33 (assume @p75 (forall @t128 (=> (tptp.class_Rings_Oring__no__zero__divisors @t20) (= (= @t127 @t34) (or @t201 (= @t120 @t34)))))) % 1.12/1.33 (assume @p76 (forall @t62 (=> @t33 (= (tptp.hAPP @t30 @t34) @t34)))) % 1.12/1.33 (assume @p77 (forall @t130 (=> @t33 @t202))) % 1.12/1.33 (assume @p78 (forall @t130 (=> @t203 @t202))) % 1.12/1.33 (assume @p79 (forall @t205 (=> @t33 (= (tptp.hAPP @t204 @t19) @t34)))) % 1.12/1.33 (assume @p80 (forall (@list @t84 @t20) (=> @t33 (= (tptp.hAPP @t204 @t84) @t34)))) % 1.12/1.33 (assume @p81 (forall @t130 (=> @t203 @t206))) % 1.12/1.33 (assume @p82 (forall @t43 (=> @t207 (not (= @t34 @t40))))) % 1.12/1.33 (assume @p83 (forall @t43 (=> @t207 (not (= @t40 @t34))))) % 1.12/1.33 (assume @p84 (forall (@list @t100 @t84 @t208 @t85 @t20) (=> (tptp.class_Rings_Osemiring @t20) (= (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t86 @t208) (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t98 @t208) @t100)) (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t210 @t208) @t100))))) % 1.12/1.33 (assume @p85 (forall @t214 (=> @t33 (= (tptp.hAPP (tptp.hAPP @t29 @t21) @t211) (tptp.c_Groups_Oplus__class_Oplus @t20 @t213 @t212))))) % 1.12/1.33 (assume @p86 (forall @t217 (=> @t33 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t215)) @t84) (tptp.c_Groups_Oplus__class_Oplus @t20 @t87 @t216))))) % 1.12/1.33 (assume @p87 (forall @t118 (=> (tptp.class_Rings_Ocomm__semiring @t20) @t218))) % 1.12/1.33 (assume @p88 (forall @t223 (=> @t33 (= (tptp.hAPP @t220 @t21) (tptp.c_Groups_Oplus__class_Oplus @t20 @t222 @t221))))) % 1.12/1.33 (assume @p89 (forall @t226 (=> @t33 (= (tptp.hAPP @t86 (tptp.c_Groups_Oplus__class_Oplus @t20 @t84 @t224)) (tptp.c_Groups_Oplus__class_Oplus @t20 @t87 @t225))))) % 1.12/1.33 (assume @p90 (forall @t130 (=> @t162 (= (tptp.hAPP @t165 @t164) @t129)))) % 1.12/1.33 (assume @p91 (forall @t94 (=> @t162 @t167))) % 1.12/1.33 (assume @p92 (forall @t43 (=> @t162 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t40) @t40)))) % 1.12/1.33 (assume @p93 (forall @t230 (=> @t229 (= (= (tptp.hAPP @t228 @t122) (tptp.hAPP @t228 @t120)) @t227)))) % 1.12/1.33 (assume @p94 (forall @t230 (=> @t229 (= (= (tptp.hAPP (tptp.hAPP @t10 @t122) @t148) (tptp.hAPP (tptp.hAPP @t10 @t120) @t148)) @t227)))) % 1.12/1.33 (assume @p95 (not (= @t8 @t15))) % 1.12/1.33 (assume @p96 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t10 @t15) @t66) @t66))) % 1.12/1.33 (assume @p97 (forall @t232 (= (tptp.hAPP (tptp.hAPP @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t191 @t189)) @t64) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t192 @t64) (tptp.hAPP @t190 @t64))))) % 1.12/1.33 (assume @p98 (forall @t130 (=> @t27 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t233) @t233)))) % 1.12/1.33 (assume @p99 (forall @t114 (=> @t54 (=> @t235 (=> @t234 @t138))))) % 1.12/1.33 (assume @p100 (forall @t114 (=> @t54 (=> @t235 (=> @t234 @t141))))) % 1.12/1.33 (assume @p101 (forall @t118 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t20) @t236))) % 1.12/1.33 (assume @p102 (forall @t118 (=> @t133 @t236))) % 1.12/1.33 (assume @p103 (forall @t118 (=> @t133 (=> @t136 (=> @t131 @t141))))) % 1.12/1.33 (assume @p104 (forall @t94 (=> @t54 (=> @t239 (=> @t238 @t237))))) % 1.12/1.33 (assume @p105 (forall @t94 (=> @t133 (=> @t239 (=> @t147 @t240))))) % 1.12/1.33 (assume @p106 (forall @t154 (=> @t54 (=> @t153 (= @t242 @t241))))) % 1.12/1.33 (assume @p107 (forall @t244 (=> @t133 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t119) @t243)))) % 1.12/1.33 (assume @p108 (forall @t94 (=> @t133 (=> @t237 @t243)))) % 1.12/1.33 (assume @p109 (forall @t94 (=> @t133 (=> @t145 (=> @t238 (tptp.c_Orderings_Oord__class_Oless @t20 @t119 @t34)))))) % 1.12/1.33 (assume @p110 (forall @t94 (=> @t133 (=> @t145 (=> @t238 @t240))))) % 1.12/1.33 (assume @p111 (forall @t94 (=> @t133 (=> @t145 (=> @t147 @t237))))) % 1.12/1.33 (assume @p112 (forall @t154 (=> @t54 (=> @t156 (= @t242 @t245))))) % 1.12/1.33 (assume @p113 (forall @t154 (=> @t54 (= @t242 @t246)))) % 1.12/1.33 (assume @p114 (forall @t250 (=> @t54 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t249 @t248) @t246)))) % 1.12/1.33 (assume @p115 (forall @t130 (=> @t47 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t129 @t34))))) % 1.12/1.33 (assume @p116 (forall @t118 (=> @t42 (=> @t145 @t254)))) % 1.12/1.33 (assume @p117 (forall @t55 (=> @t54 (= (= @t53 @t34) @t157)))) % 1.12/1.33 (assume @p118 @t256) % 1.12/1.33 (assume @p119 (forall @t43 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t34))))) % 1.12/1.33 (assume @p120 (forall (@list @t257 @t258 @t20) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t258) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t257) (tptp.c_Orderings_Oord__class_Oless @t20 @t40 (tptp.hAPP @t259 @t257))))))) % 1.12/1.33 (assume @p121 (forall @t130 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t20 @t85 @t260)))) % 1.12/1.33 (assume @p122 (forall @t261 (=> @t162 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t164 @t100) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t163 @t97) (tptp.c_Orderings_Oord__class_Oless @t20 @t166 (tptp.hAPP @t108 @t97))))))) % 1.12/1.33 (assume @p123 (forall @t39 (=> @t27 (= (= @t38 @t8) @t36)))) % 1.12/1.33 (assume @p124 (forall @t43 (=> @t27 (= (tptp.c_RealVector_Onorm__class_Onorm @t20 @t34) @t8)))) % 1.12/1.33 (assume @p125 (forall @t48 (=> @t262 (= @t32 @t168)))) % 1.12/1.33 (assume @p126 (forall (@list @t19 @t13 @t66) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t66) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t19) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t194 @t13) (tptp.hAPP @t194 @t19)))))) % 1.12/1.33 (assume @p127 (forall @t267 (=> @t266 (=> @t265 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t264))))) % 1.12/1.33 (assume @p128 (forall @t172 (=> @t171 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t174 @t173) @t76)))) % 1.12/1.33 (assume @p129 (forall @t271 (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t269 tptp.v_m____)))) % 1.12/1.33 (assume @p130 (forall (@list @t19 @t13 @t100 @t20) (=> @t27 (=> @t274 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t25 (tptp.hAPP @t273 @t23)) @t272))))) % 1.12/1.33 (assume @p131 (forall (@list @t19 @t13 @t100) (=> @t274 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t14 (tptp.hAPP @t273 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t19))) @t275)))) % 1.12/1.33 (assume @p132 (forall @t94 (=> @t278 (=> @t90 @t277)))) % 1.12/1.33 (assume @p133 (forall @t94 (=> @t278 (=> @t239 (=> @t91 @t276))))) % 1.12/1.33 (assume @p134 (forall @t118 (=> @t278 (=> @t92 @t254)))) % 1.12/1.33 (assume @p135 @t282) % 1.12/1.33 (assume @p136 (forall @t94 (=> @t278 (=> @t92 @t284)))) % 1.12/1.33 (assume @p137 @t287) % 1.12/1.33 (assume @p138 (forall @t94 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Groups_Oabs__class_Oabs @t20 @t209) @t288)))) % 1.12/1.33 (assume @p139 (forall @t130 (=> @t289 (=> @t145 @t290)))) % 1.12/1.33 (assume @p140 (forall @t292 (=> @t289 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t291) (not @t201))))) % 1.12/1.33 (assume @p141 (exists @t295 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t293) @t294))) % 1.12/1.33 (assume @p142 (forall @t39 (=> @t296 (= (= @t34 @t35) @t36)))) % 1.12/1.33 (assume @p143 (forall @t118 (=> (tptp.class_Groups_Oab__semigroup__mult @t20) (= (tptp.hAPP (tptp.hAPP @t29 @t87) @t100) (tptp.hAPP @t86 @t115))))) % 1.12/1.33 (assume @p144 (forall @t118 (=> (tptp.class_Groups_Oab__semigroup__add @t20) @t299))) % 1.12/1.33 (assume @p145 (forall (@list @t148 @t120 @t122 @t20) (=> @t303 (= (= @t302 @t301) @t300)))) % 1.12/1.33 (assume @p146 (forall (@list @t148 @t122 @t120 @t20) (=> @t303 (= (= @t305 @t304) @t300)))) % 1.12/1.33 (assume @p147 (forall @t118 (=> @t303 @t307))) % 1.12/1.33 (assume @p148 (forall @t118 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t20) @t307))) % 1.12/1.33 (assume @p149 (forall @t114 (=> @t303 (=> (= @t309 @t308) @t306)))) % 1.12/1.33 (assume @p150 (forall @t39 (=> (tptp.class_Groups_Oone @t20) (= (= @t40 @t35) @t310)))) % 1.12/1.33 (assume @p151 (forall @t130 (=> @t289 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t164) @t164)))) % 1.12/1.33 (assume @p152 (forall @t130 (=> @t312 @t311))) % 1.12/1.33 (assume @p153 (forall @t130 (=> @t313 @t311))) % 1.12/1.33 (assume @p154 (forall @t292 (=> @t315 (= (= @t34 @t314) @t201)))) % 1.12/1.33 (assume @p155 (forall @t130 (=> @t312 @t316))) % 1.12/1.33 (assume @p156 (forall @t130 (=> @t313 @t316))) % 1.12/1.33 (assume @p157 (forall @t250 (=> @t318 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t301 @t317) @t155)))) % 1.12/1.33 (assume @p158 (forall @t154 (=> @t318 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t304 @t319) @t155)))) % 1.12/1.33 (assume @p159 (forall @t118 (=> @t321 (=> @t105 @t320)))) % 1.12/1.33 (assume @p160 (forall @t118 (=> @t321 (=> @t105 @t323)))) % 1.12/1.33 (assume @p161 (forall @t107 (=> @t321 (=> @t105 (=> @t104 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t251 @t324)))))) % 1.12/1.33 (assume @p162 (forall @t135 (=> @t318 (=> @t320 @t105)))) % 1.12/1.33 (assume @p163 (forall @t134 (=> @t318 (=> @t323 @t105)))) % 1.12/1.33 (assume @p164 (forall @t250 (=> @t318 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t301 @t317) @t245)))) % 1.12/1.33 (assume @p165 (forall @t154 (=> @t318 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t304 @t319) @t245)))) % 1.12/1.33 (assume @p166 (forall @t118 (=> @t326 (=> @t136 @t325)))) % 1.12/1.33 (assume @p167 (forall @t118 (=> @t326 (=> @t136 @t327)))) % 1.12/1.33 (assume @p168 (forall @t107 (=> @t326 (=> @t136 @t329)))) % 1.12/1.33 (assume @p169 (forall @t135 (=> @t318 (=> @t325 @t136)))) % 1.12/1.33 (assume @p170 (forall @t134 (=> @t318 (=> @t327 @t136)))) % 1.12/1.33 (assume @p171 (forall @t130 (=> @t331 @t330))) % 1.12/1.33 (assume @p172 (forall @t130 (=> @t332 @t330))) % 1.12/1.33 (assume @p173 (forall @t130 (=> @t331 @t333))) % 1.12/1.33 (assume @p174 (forall @t130 (=> @t332 @t333))) % 1.12/1.33 (assume @p175 (forall @t43 (=> @t289 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t34) @t34)))) % 1.12/1.33 (assume @p176 (forall @t292 (=> @t289 (= (= @t291 @t34) @t201)))) % 1.12/1.33 (assume @p177 (forall @t130 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t85 @t164)))) % 1.12/1.33 (assume @p178 (forall @t94 (=> @t289 (=> @t334 @t105)))) % 1.12/1.33 (assume @p179 (forall @t94 (=> @t289 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t288) @t288)))) % 1.12/1.33 (assume @p180 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t314) @t125)))) % 1.12/1.33 (assume @p181 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t314 @t34) @t123)))) % 1.12/1.33 (assume @p182 (forall @t94 (=> @t278 (=> @t92 (=> @t89 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t209)))))) % 1.12/1.33 (assume @p183 (forall @t55 (=> @t278 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t49) (= @t335 @t157)))))) % 1.12/1.33 (assume @p184 (forall @t118 (=> @t278 (=> @t92 (=> @t279 @t336))))) % 1.12/1.33 (assume @p185 (forall (@list @t85 @t84 @t100 @t20) (=> @t278 (=> @t102 (=> @t113 @t336))))) % 1.12/1.33 (assume @p186 (forall @t94 (=> @t278 (=> @t90 (=> @t91 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t209 @t34)))))) % 1.12/1.33 (assume @p187 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t314) @t337)))) % 1.12/1.33 (assume @p188 (forall @t292 (=> @t315 @t339))) % 1.12/1.33 (assume @p189 (forall @t94 (=> @t278 (=> @t145 @t284)))) % 1.12/1.33 (assume @p190 (forall @t94 (=> @t278 (=> @t239 @t277)))) % 1.12/1.33 (assume @p191 (forall @t107 (=> @t326 (=> @t136 (=> @t104 @t328))))) % 1.12/1.33 (assume @p192 (forall @t107 (=> @t326 (=> @t105 @t329)))) % 1.12/1.33 (assume @p193 (forall @t130 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t164)))) % 1.12/1.33 (assume @p194 (forall @t292 (=> @t289 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t291 @t34) @t201)))) % 1.12/1.33 (assume @p195 (forall @t130 (=> @t289 (=> @t92 @t290)))) % 1.12/1.33 (assume @p196 (forall @t130 (=> @t289 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t164 @t34))))) % 1.12/1.33 (assume @p197 (forall (@list @t258 @t20) (=> @t340 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t258 @t258) (tptp.hAPP (tptp.hAPP @t29 @t41) @t258))))) % 1.12/1.33 (assume @p198 (forall (@list @t85 @t258 @t20) (=> @t340 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t258 @t342) @t341)))) % 1.12/1.33 (assume @p199 (forall (@list @t258 @t85 @t20) (=> @t340 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t342 @t258) @t341)))) % 1.12/1.33 (assume @p200 (forall (@list @t97 @t100 @t84 @t85 @t18 @t20) (=> @t345 (=> (not (= @t18 @t34)) (=> (and @t344 (not (= @t100 @t97))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 (tptp.hAPP @t343 @t100)) (tptp.c_Groups_Oplus__class_Oplus @t20 @t84 (tptp.hAPP @t343 @t97))))))))) % 1.12/1.33 (assume @p201 (forall @t292 (=> @t162 @t339))) % 1.12/1.33 (assume @p202 (not (forall @t295 (not @t294)))) % 1.12/1.33 (assume @p203 (forall @t62 (=> @t346 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t13 @t13)))) % 1.12/1.33 (assume @p204 (forall @t62 (=> @t340 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t348) @t13) @t40)))) % 1.12/1.33 (assume @p205 (forall @t355 (=> @t354 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t353) @t13) (tptp.c_Groups_Oplus__class_Oplus @t20 @t352 @t350))))) % 1.12/1.33 (assume @p206 (forall @t357 (=> @t313 (= (tptp.c_Groups_Oplus__class_Oplus @t347 @t356 @t349) @t349)))) % 1.12/1.33 (assume @p207 (forall @t358 (=> @t313 (= (tptp.c_Groups_Oplus__class_Oplus @t347 @t351 @t356) @t351)))) % 1.12/1.33 (assume @p208 (forall (@list @t18 @t349 @t351 @t20) (=> @t354 (= (tptp.hAPP (tptp.hAPP @t359 @t353) @t18) (tptp.c_Groups_Oplus__class_Oplus @t347 (tptp.hAPP @t360 @t18) (tptp.hAPP (tptp.hAPP @t359 @t349) @t18)))))) % 1.12/1.33 (assume @p209 (forall @t365 (=> @t364 (= @t363 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t361 @t5 @t4)))))) % 1.12/1.33 (assume @p210 (forall @t48 (=> @t368 (or @t367 @t366)))) % 1.12/1.33 (assume @p211 (forall @t55 (=> @t371 (= @t75 (and @t370 @t369))))) % 1.12/1.33 (assume @p212 (forall @t48 (=> @t346 (=> @t185 @t367)))) % 1.12/1.33 (assume @p213 (forall (@list @t35 @t1 @t2 @t20 @t361) (=> @t364 (=> @t363 (tptp.c_Orderings_Oord__class_Oless__eq @t361 (tptp.hAPP @t2 @t35) (tptp.hAPP @t1 @t35)))))) % 1.12/1.33 (assume @p214 (forall @t373 (=> @t371 (=> @t369 @t372)))) % 1.12/1.33 (assume @p215 (forall @t118 (=> @t375 (=> @t344 (=> @t279 @t374))))) % 1.12/1.33 (assume @p216 (forall @t118 (=> @t371 (=> @t344 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t100 @t84) @t376))))) % 1.12/1.33 (assume @p217 (forall @t118 (=> @t375 (=> @t105 (=> @t306 @t374))))) % 1.12/1.33 (assume @p218 (forall @t114 (=> @t371 (=> @t113 (=> @t306 @t376))))) % 1.12/1.33 (assume @p219 (forall @t48 (=> @t371 (=> @t367 (=> @t366 @t185))))) % 1.12/1.33 (assume @p220 (forall @t378 (=> @t346 (=> @t367 (=> @t377 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t13 @t66)))))) % 1.12/1.33 (assume @p221 (forall @t379 (=> @t371 (=> @t366 (=> @t367 @t185))))) % 1.12/1.33 (assume @p222 (forall @t381 (=> @t371 (=> @t366 (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t66 @t13)))))) % 1.12/1.33 (assume @p223 (forall @t48 (=> @t368 (=> (not @t367) @t366)))) % 1.12/1.33 (assume @p224 (forall @t48 (=> @t368 (=> @t184 (=> @t186 @t182))))) % 1.12/1.33 (assume @p225 (forall @t48 (=> @t346 (=> @t183 (not @t182))))) % 1.12/1.33 (assume @p226 (forall @t381 (=> @t371 (=> @t182 @t383)))) % 1.12/1.33 (assume @p227 (forall @t378 (=> @t346 (=> @t183 @t385)))) % 1.12/1.33 (assume @p228 (forall @t114 (=> @t371 (=> @t235 (=> @t306 @t386))))) % 1.12/1.33 (assume @p229 (forall @t118 (=> @t375 (=> @t136 (=> @t306 @t387))))) % 1.12/1.33 (assume @p230 (forall @t118 (=> @t371 (=> @t344 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t100 @t84) @t386))))) % 1.12/1.33 (assume @p231 (forall @t118 (=> @t375 (=> @t344 (=> @t253 @t387))))) % 1.12/1.33 (assume @p232 (forall @t244 (=> @t371 (=> @t235 (not @t136))))) % 1.12/1.33 (assume @p233 (forall @t94 (=> @t346 (=> @t136 (not @t235))))) % 1.12/1.33 (assume @p234 (forall @t48 (=> @t371 (=> @t183 (not (= @t19 @t13)))))) % 1.12/1.33 (assume @p235 (forall @t48 (=> @t371 (=> @t183 @t186)))) % 1.12/1.33 (assume @p236 (forall @t48 (=> @t368 @t187))) % 1.12/1.33 (assume @p237 (forall @t373 (=> @t368 (=> (not @t391) @t390)))) % 1.12/1.33 (assume @p238 (forall @t48 (=> @t368 (or @t183 @t185 @t182)))) % 1.12/1.33 (assume @p239 (forall @t55 (=> @t368 (= @t389 (or @t391 @t75))))) % 1.12/1.33 (assume @p240 (forall @t55 (=> @t368 (= @t78 (or @t388 @t391))))) % 1.12/1.33 (assume @p241 (forall @t62 (=> @t346 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t13 @t13))))) % 1.12/1.33 (assume @p242 (forall @t403 (=> @t340 (= @t402 (tptp.hAPP @t398 (tptp.hAPP @t394 @t392)))))) % 1.12/1.33 (assume @p243 (forall @t403 (=> @t340 (= @t402 (tptp.hAPP @t399 (tptp.hAPP @t401 @t392)))))) % 1.12/1.33 (assume @p244 (forall @t403 (=> @t340 (= @t402 (tptp.hAPP @t397 (tptp.hAPP @t394 @t400)))))) % 1.12/1.33 (assume @p245 (forall @t405 (=> @t340 (= @t404 (tptp.hAPP @t398 @t393))))) % 1.12/1.33 (assume @p246 (forall @t405 (=> @t340 (= @t404 (tptp.hAPP @t397 (tptp.hAPP @t394 @t395)))))) % 1.12/1.33 (assume @p247 (forall @t407 (=> @t340 (= @t406 (tptp.hAPP @t398 @t392))))) % 1.12/1.33 (assume @p248 (forall @t407 (=> @t340 (= @t406 (tptp.hAPP @t399 (tptp.hAPP @t397 @t392)))))) % 1.12/1.33 (assume @p249 (forall @t94 (=> @t340 (= @t87 @t119)))) % 1.12/1.33 (assume @p250 (forall @t107 (=> @t340 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t209 @t408) (tptp.c_Groups_Oplus__class_Oplus @t20 @t251 @t324))))) % 1.12/1.33 (assume @p251 (forall @t118 (=> @t340 (= @t298 (tptp.c_Groups_Oplus__class_Oplus @t20 @t251 @t84))))) % 1.12/1.33 (assume @p252 (forall @t118 (=> @t340 @t299))) % 1.12/1.33 (assume @p253 (forall @t410 (=> @t340 (= @t409 (tptp.c_Groups_Oplus__class_Oplus @t20 @t251 @t97))))) % 1.12/1.33 (assume @p254 (forall @t410 (=> @t340 (= @t409 (tptp.c_Groups_Oplus__class_Oplus @t20 @t100 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t97)))))) % 1.12/1.33 (assume @p255 (forall (@list @t100 @t85 @t20) (=> @t340 (= @t251 @t308)))) % 1.12/1.33 (assume @p256 (forall @t417 (=> @t416 (= (= @t414 (tptp.c_Polynomial_Opoly @t20 @t411)) @t413)))) % 1.12/1.33 (assume @p257 (forall (@list @t412 @t20) (=> @t416 (= (= @t414 @t419) @t418)))) % 1.12/1.33 (assume @p258 (forall @t381 (=> @t371 (=> @t366 @t383)))) % 1.12/1.33 (assume @p259 (forall @t378 (=> @t346 (=> @t367 @t385)))) % 1.12/1.33 (assume @p260 (forall @t381 (=> @t371 (=> @t182 (=> @t380 @t382))))) % 1.12/1.33 (assume @p261 (forall @t378 (=> @t346 (=> @t183 (=> @t377 @t384))))) % 1.12/1.33 (assume @p262 (forall @t244 (=> @t371 (=> @t113 (=> @t420 @t235))))) % 1.12/1.33 (assume @p263 (forall @t94 (=> @t371 (=> @t105 (=> @t420 @t136))))) % 1.12/1.33 (assume @p264 (forall @t48 (=> @t371 (=> @t367 (or @t183 @t185))))) % 1.12/1.33 (assume @p265 (forall @t55 (=> @t368 (=> @t370 @t390)))) % 1.12/1.33 (assume @p266 (forall @t48 (=> @t346 (=> @t183 @t367)))) % 1.12/1.33 (assume @p267 (forall @t379 (=> @t368 (=> @t366 @t184)))) % 1.12/1.33 (assume @p268 (forall @t94 (=> @t371 (=> @t420 (=> @t113 @t235))))) % 1.12/1.33 (assume @p269 (forall @t94 (=> @t371 (=> @t420 (=> @t105 @t136))))) % 1.12/1.33 (assume @p270 (forall @t55 (=> @t368 (=> @t389 @t372)))) % 1.12/1.33 (assume @p271 (forall @t379 (=> @t368 (=> (not @t366) @t183)))) % 1.12/1.33 (assume @p272 (forall @t48 (=> @t368 (=> @t184 @t366)))) % 1.12/1.33 (assume @p273 (forall @t55 (=> @t371 (= @t370 (or @t388 @t75))))) % 1.12/1.33 (assume @p274 (forall @t55 (=> @t346 (= @t388 (and @t370 (not @t369)))))) % 1.12/1.33 (assume @p275 (forall @t55 (=> @t371 (= @t388 (and @t370 @t78))))) % 1.12/1.33 (assume @p276 (forall @t48 (=> @t368 (or @t367 @t182)))) % 1.12/1.33 (assume @p277 (forall @t55 (=> @t368 (= (not @t370) @t391)))) % 1.12/1.33 (assume @p278 (forall @t55 (=> @t368 (= @t389 @t369)))) % 1.12/1.33 (assume @p279 (forall @t130 (=> @t340 @t202))) % 1.12/1.33 (assume @p280 (forall @t130 (=> @t340 @t206))) % 1.12/1.33 (assume @p281 (forall @t292 (=> @t315 (= (= @t314 @t34) @t201)))) % 1.12/1.33 (assume @p282 (forall @t421 (=> @t345 (= (= @t120 @t305) @t201)))) % 1.12/1.33 (assume @p283 (forall @t130 (=> @t340 @t316))) % 1.12/1.33 (assume @p284 (forall @t130 (=> @t340 @t311))) % 1.12/1.33 (assume @p285 (forall (@list @t169 @t35 @t49 @t422 @t20) (=> @t345 (= (= (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t423 @t49) (tptp.hAPP @t51 @t169)) (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t423 @t169) (tptp.hAPP @t51 @t49))) (or (= @t422 @t35) (= @t49 @t169)))))) % 1.12/1.33 (assume @p286 (forall (@list @t84 @t258 @t85 @t20) (=> @t340 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t342 (tptp.hAPP @t98 @t258)) (tptp.hAPP @t210 @t258))))) % 1.12/1.33 (assume @p287 (forall @t118 (=> @t340 @t218))) % 1.12/1.33 (assume @p288 (forall @t426 (=> @t345 (= (and (not @t227) (not @t425)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t249 (tptp.hAPP @t247 @t424)) (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t126 @t424) @t248))))))) % 1.12/1.33 (assume @p289 (forall @t378 (=> @t340 (= (tptp.hAPP @t30 (tptp.c_Groups_Oplus__class_Oplus @t20 @t19 @t66)) (tptp.c_Groups_Oplus__class_Oplus @t20 @t31 (tptp.hAPP @t30 @t66)))))) % 1.12/1.33 (assume @p290 (forall @t130 (=> @t340 @t333))) % 1.12/1.33 (assume @p291 (forall @t130 (=> @t340 @t330))) % 1.12/1.33 (assume @p292 (forall @t62 (=> @t354 (= (tptp.hAPP @t419 @t13) @t34)))) % 1.12/1.33 (assume @p293 (forall @t355 (=> @t354 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t427) @t13) (tptp.hAPP (tptp.hAPP @t29 @t352) @t350))))) % 1.12/1.33 (assume @p294 (forall @t205 (=> @t33 (exists @t432 (and @t431 @t430))))) % 1.12/1.33 (assume @p295 (forall @t62 (=> @t33 (exists @t432 (and @t431 @t433))))) % 1.12/1.33 (assume @p296 (forall @t43 (=> @t33 (exists @t432 (and @t431 @t436))))) % 1.12/1.33 (assume @p297 (forall @t205 (=> @t33 (exists @t432 (and @t437 @t430))))) % 1.12/1.33 (assume @p298 (forall @t62 (=> @t33 (exists @t432 (and @t437 @t433))))) % 1.12/1.33 (assume @p299 (forall @t43 (=> @t33 (exists @t432 (and @t437 @t436))))) % 1.12/1.33 (assume @p300 (forall @t205 (=> @t33 (exists @t432 @t430)))) % 1.12/1.33 (assume @p301 (forall @t365 (=> @t364 (= (tptp.c_Orderings_Oord__class_Oless @t362 @t2 @t1) (and @t363 (not (tptp.c_Orderings_Oord__class_Oless__eq @t362 @t1 @t2))))))) % 1.12/1.33 (assume @p302 (forall @t358 (=> @t354 (= (tptp.hAPP @t360 @t356) @t356)))) % 1.12/1.33 (assume @p303 (forall @t357 (=> @t354 (= (tptp.hAPP (tptp.hAPP @t359 @t356) @t349) @t356)))) % 1.12/1.33 (assume @p304 (forall (@list @t122 @t412 @t20) (=> @t415 (= (= (tptp.hAPP @t414 @t122) @t34) (or @t418 (not (= (tptp.c_Polynomial_Oorder @t20 @t122 @t412) @t438))))))) % 1.12/1.33 (assume @p305 (forall @t43 (=> @t33 (exists @t432 @t436)))) % 1.12/1.33 (assume @p306 (forall @t62 (=> @t33 (exists @t432 @t433)))) % 1.12/1.33 (assume @p307 (forall @t62 (=> @t27 (and (=> @t272 (= @t440 @t8)) (=> @t441 (= @t440 @t15)))))) % 1.12/1.33 (assume @p308 (forall (@list @t20 @t169 @t2 @t361) (=> (tptp.class_Groups_Ozero @t361) (=> (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t361)) @t442) @t169) @t169) (= (tptp.c_Polynomial_Opoly__rec @t20 @t361 @t169 @t2 @t442) @t169))))) % 1.12/1.33 (assume @p309 (forall @t48 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t20) (=> (forall @t271 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t268) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t268 @t40) (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.hAPP (tptp.hAPP @t29 @t268) @t13) @t19)))) @t367)))) % 1.12/1.33 (assume @p310 (forall @t130 (=> @t162 (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t443) @t443)))) % 1.12/1.33 (assume @p311 (forall @t39 (=> @t27 (= (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t35) @t34) @t36)))) % 1.12/1.33 (assume @p312 (forall @t292 (=> @t162 (= (= @t444 @t34) @t201)))) % 1.12/1.33 (assume @p313 (forall @t43 (=> @t27 @t445))) % 1.12/1.33 (assume @p314 (forall @t43 (=> @t446 @t445))) % 1.12/1.33 (assume @p315 (forall @t48 (=> @t262 (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t31) (tptp.hAPP @t447 (tptp.c_Groups_Osgn__class_Osgn @t20 @t19)))))) % 1.12/1.33 (assume @p316 (forall @t94 (=> @t162 (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t87) (tptp.hAPP (tptp.hAPP @t29 @t443) (tptp.c_Groups_Osgn__class_Osgn @t20 @t84)))))) % 1.12/1.33 (assume @p317 (forall @t43 (=> @t61 (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t40) @t40)))) % 1.12/1.33 (assume @p318 (forall @t292 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t444 @t34) @t338)))) % 1.12/1.33 (assume @p319 (forall @t292 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t444) @t337)))) % 1.12/1.33 (assume @p320 (forall @t62 (=> @t162 (= (tptp.hAPP @t447 (tptp.c_Groups_Oabs__class_Oabs @t20 @t13)) @t13)))) % 1.12/1.33 (assume @p321 (forall (@list @t70 @t20) (=> @t162 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t70) (tptp.hAPP (tptp.hAPP @t29 @t70) (tptp.c_Groups_Osgn__class_Osgn @t20 @t70)))))) % 1.12/1.33 (assume @p322 (forall @t16 @t449)) % 1.12/1.33 (assume @p323 (forall @t130 (=> @t162 (=> @t145 (= @t443 @t40))))) % 1.12/1.33 (assume @p324 (forall @t292 (=> @t162 (= (= @t444 @t40) @t337)))) % 1.12/1.33 (assume @p325 (forall @t450 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t438)))) % 1.12/1.33 (assume @p326 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t257))) % 1.12/1.33 (assume @p327 (forall @t48 (=> (tptp.class_Fields_Olinordered__field @t20) (=> (forall (@list @t451) (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t451) (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t13 (tptp.c_Groups_Oplus__class_Oplus @t20 @t19 @t451)))) @t367)))) % 1.12/1.33 (assume @p328 (forall @t455 (=> @t340 (and (=> @t453 (= @t452 @t40)) (=> @t454 (= @t452 @t34)))))) % 1.12/1.33 (assume @p329 (forall @t107 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 @t458) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 @t457) (tptp.c_RealVector_Onorm__class_Onorm @t20 @t456)))))) % 1.12/1.33 (assume @p330 (forall @t130 (=> @t162 (=> @t239 (= @t443 @t459))))) % 1.12/1.33 (assume @p331 (forall @t469 (= @t468 (not (or (and @t467 @t466) (exists @t464 (and @t463 (not @t462)))))))) % 1.12/1.33 (assume @p332 (forall @t469 (= @t468 (and (=> @t467 @t465) (forall @t464 (=> @t463 @t462)))))) % 1.12/1.33 (assume @p333 (forall @t471 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t470) @t438))) % 1.12/1.33 (assume @p334 (forall @t357 (=> @t472 (= (tptp.c_Groups_Ominus__class_Ominus @t347 @t356 @t349) (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t349))))) % 1.12/1.33 (assume @p335 (forall @t450 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t438 @t257) @t438))) % 1.12/1.33 (assume @p336 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t473 @t474)) @t475))) % 1.12/1.33 (assume @p337 (forall @t477 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t438) @t258))) % 1.12/1.33 (assume @p338 (forall @t477 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t258) @t438))) % 1.12/1.33 (assume @p339 (forall @t471 (=> @t480 (=> @t479 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t478 @t258))))) % 1.12/1.33 (assume @p340 (forall @t483 (=> @t482 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t258) @t438) @t481)))) % 1.12/1.33 (assume @p341 (forall @t483 (=> (or @t485 @t481) @t484))) % 1.12/1.33 (assume @p342 (forall @t491 (=> @t490 (=> @t489 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t488 @t487) @t475))))) % 1.12/1.33 (assume @p343 (forall @t492 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t84) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t85) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t85 @t100) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t100)))))) % 1.12/1.33 (assume @p344 (forall @t483 (=> @t484 (=> @t493 @t485)))) % 1.12/1.33 (assume @p345 (forall @t483 (=> @t484 @t482))) % 1.12/1.33 (assume @p346 (forall @t483 (=> @t485 @t484))) % 1.12/1.33 (assume @p347 (forall @t495 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t474 @t473) @t438) @t494))) % 1.12/1.33 (assume @p348 (forall @t495 (= @t494 @t497))) % 1.12/1.33 (assume @p349 (forall @t495 (= @t475 (and @t494 @t498)))) % 1.12/1.33 (assume @p350 (forall @t130 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t34 @t85) @t499)))) % 1.12/1.33 (assume @p351 (forall (@list @t461 @t473 @t474) (=> (=> @t475 @t502) (=> (=> @t496 @t502) (=> (=> @t503 @t502) @t502))))) % 1.12/1.33 (assume @p352 (forall @t507 (=> @t485 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t258 @t504) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t506 @t505))))) % 1.12/1.33 (assume @p353 (forall (@list @t257 @t70 @t72) (=> @t508 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t257) @t70)))) % 1.12/1.33 (assume @p354 (forall (@list @t509 @t17) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t509) (not (= @t17 @t509))))) % 1.12/1.33 (assume @p355 (forall @t471 (=> @t510 @t493))) % 1.12/1.33 (assume @p356 (forall @t450 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t257)))) % 1.12/1.33 (assume @p357 (forall @t267 (=> @t186 (=> (not @t511) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t13))))) % 1.12/1.33 (assume @p358 (forall @t495 (= @t498 (or @t475 @t503)))) % 1.12/1.33 (assume @p359 (forall @t73 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t512 @t70) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t70)))) % 1.12/1.33 (assume @p360 (forall (@list @t257 @t258 @t504 @t70) (=> @t514 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t504) @t513) @t485)))) % 1.12/1.33 (assume @p361 (forall @t518 (=> @t517 (=> @t514 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t516 @t515))))) % 1.12/1.33 (assume @p362 (forall @t73 (=> @t517 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t516 @t519)))) % 1.12/1.33 (assume @p363 (forall @t521 (=> @t517 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t520)))) % 1.12/1.33 (assume @p364 (forall @t521 (=> @t517 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t522)))) % 1.12/1.33 (assume @p365 (forall @t483 (=> @t524 @t523))) % 1.12/1.33 (assume @p366 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t526 @t525) @t475))) % 1.12/1.33 (assume @p367 (forall @t531 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t530) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t529 @t527)))) % 1.12/1.33 (assume @p368 (forall (@list @t71 @t72) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t532 @t71)))) % 1.12/1.33 (assume @p369 (forall (@list @t72 @t71) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t512 @t71)))) % 1.12/1.33 (assume @p370 (forall @t94 (=> @t500 @t535))) % 1.12/1.33 (assume @p371 (forall @t94 (=> @t472 @t535))) % 1.12/1.33 (assume @p372 (forall @t48 (=> @t538 (= @t537 (tptp.c_Groups_Oplus__class_Oplus @t20 @t13 @t536))))) % 1.12/1.33 (assume @p373 (forall @t94 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t533) @t209)))) % 1.12/1.33 (assume @p374 (forall @t355 (=> @t540 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t539) @t13) (tptp.c_Groups_Ominus__class_Ominus @t20 @t352 @t350))))) % 1.12/1.33 (assume @p375 (forall (@list @t13 @t351 @t20) (=> @t540 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 @t541) @t13) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t352))))) % 1.12/1.33 (assume @p376 (forall @t267 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t13 @t19) @t542))) % 1.12/1.33 (assume @p377 (forall (@list @t17 @t18) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t18 @t17) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t18 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t17))))) % 1.12/1.33 (assume @p378 (forall @t417 (=> @t296 (= @t413 (forall @t544 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t412) @t543) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t411) @t543))))))) % 1.12/1.33 (assume @p379 (forall (@list @t257 @t351 @t20) (=> @t472 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t541) @t257) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t545))))) % 1.12/1.33 (assume @p380 (forall @t55 (=> @t296 (= (= (tptp.c_Polynomial_Ocoeff @t20 @t35) (tptp.c_Polynomial_Ocoeff @t20 @t49)) @t75)))) % 1.12/1.33 (assume @p381 (forall @t547 (=> @t472 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t539) @t257) (tptp.c_Groups_Ominus__class_Ominus @t20 @t545 @t546))))) % 1.12/1.33 (assume @p382 (forall @t130 (=> @t500 (= (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t499) @t85)))) % 1.12/1.33 (assume @p383 (forall @t94 (=> @t472 (= @t549 @t548)))) % 1.12/1.33 (assume @p384 (forall @t128 (=> @t500 (= @t552 (= @t120 @t550))))) % 1.12/1.33 (assume @p385 (forall @t128 (=> @t500 (= (= @t550 @t120) (= @t551 @t122))))) % 1.12/1.33 (assume @p386 (forall @t128 (=> @t500 (= (= @t550 @t551) @t227)))) % 1.12/1.33 (assume @p387 (forall @t426 (=> @t472 (=> @t554 (= @t227 @t425))))) % 1.12/1.33 (assume @p388 (forall @t94 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t557 @t555)))) % 1.12/1.33 (assume @p389 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t257 @t257))) % 1.12/1.33 (assume @p390 (forall @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t258 @t560))) % 1.12/1.33 (assume @p391 (forall @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t258 (tptp.hAPP @t559 @t560)))) % 1.12/1.33 (assume @p392 (forall @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t478 @t258))) % 1.12/1.33 (assume @p393 (forall @t483 (or @t484 @t561))) % 1.12/1.33 (assume @p394 (forall @t483 (=> @t481 @t484))) % 1.12/1.33 (assume @p395 (forall @t73 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t565 @t563)))) % 1.12/1.33 (assume @p396 (forall @t73 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t569 @t568)))) % 1.12/1.33 (assume @p397 (forall @t507 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t506 @t505)))) % 1.12/1.33 (assume @p398 (forall @t507 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t504) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t504))))) % 1.12/1.33 (assume @p399 (forall @t570 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t257) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t71)) @t71)))) % 1.12/1.33 (assume @p400 (forall @t73 (=> @t566 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 @t70) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t70))))) % 1.12/1.33 (assume @p401 (forall @t483 (=> @t484 (=> @t561 @t481)))) % 1.12/1.33 (assume @p402 (forall @t518 (=> @t566 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t565 (tptp.hAPP @t562 @t504)))))) % 1.12/1.33 (assume @p403 (forall @t491 (=> @t490 (=> @t489 (= (= @t488 @t487) @t496))))) % 1.12/1.33 (assume @p404 (forall @t573 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t70 @t258) (=> @t572 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t70) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t70)) @t478))))) % 1.12/1.33 (assume @p405 (forall @t491 (=> @t490 (=> @t489 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t488 @t487) @t494))))) % 1.12/1.33 (assume @p406 (forall @t576 (=> @t575 (not (=> @t484 (not @t572)))))) % 1.12/1.33 (assume @p407 (forall @t576 (=> @t575 @t484))) % 1.12/1.33 (assume @p408 (forall @t576 (=> @t575 @t572))) % 1.12/1.33 (assume @p409 (forall @t518 (=> @t566 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t516 @t515))))) % 1.12/1.33 (assume @p410 (forall @t581 (=> @t580 (= @t579 @t578)))) % 1.12/1.33 (assume @p411 (forall @t581 (=> @t580 (= @t578 @t579)))) % 1.12/1.33 (assume @p412 (forall @t581 (=> @t580 (= @t583 @t582)))) % 1.12/1.33 (assume @p413 (forall @t531 (=> @t585 (= (= @t584 @t486) (= @t527 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t486 @t528)))))) % 1.12/1.33 (assume @p414 (forall @t471 (=> @t561 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t478 @t257) @t258)))) % 1.12/1.33 (assume @p415 (forall (@list @t528 @t527 @t486) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t486 @t527) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t530) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t529 @t527))))) % 1.12/1.33 (assume @p416 (forall @t581 (=> @t580 (= @t582 @t583)))) % 1.12/1.33 (assume @p417 (forall @t471 (=> @t561 @t523))) % 1.12/1.33 (assume @p418 (forall @t73 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t516 @t519)))) % 1.12/1.33 (assume @p419 (forall (@list @t258 @t257 @t70) (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t258 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t470 @t70))))) % 1.12/1.33 (assume @p420 (forall @t521 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t520)))) % 1.12/1.33 (assume @p421 (forall @t521 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t522)))) % 1.12/1.33 (assume @p422 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t526 @t525) @t494))) % 1.12/1.33 (assume @p423 (forall (@list @t528 @t486 @t527) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530 @t528) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t529)))) % 1.12/1.33 (assume @p424 (forall @t581 (=> @t580 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t71 @t577) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t516 @t72))))) % 1.12/1.33 (assume @p425 (forall @t495 (= @t494 (exists @t588 (= @t473 @t587))))) % 1.12/1.33 (assume @p426 (forall @t590 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t486 @t589) (exists @t544 (= @t589 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t486 @t543)))))) % 1.12/1.33 (assume @p427 (forall @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t257 @t470))) % 1.12/1.33 (assume @p428 (forall @t471 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t257 @t591))) % 1.12/1.33 (assume @p429 (forall @t130 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t34) @t85)))) % 1.12/1.33 (assume @p430 (forall @t130 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t85) @t34)))) % 1.12/1.33 (assume @p431 (forall @t128 (=> @t472 (= @t227 @t592)))) % 1.12/1.33 (assume @p432 (forall @t128 (=> @t500 (= @t592 @t227)))) % 1.12/1.33 (assume @p433 (forall @t426 (=> @t593 (=> @t554 (= @t155 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t148 @t424)))))) % 1.12/1.33 (assume @p434 (forall @t43 (=> @t500 (= (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t34) @t34)))) % 1.12/1.33 (assume @p435 (forall @t292 (=> @t500 (= (= @t34 @t550) (= @t34 @t122))))) % 1.12/1.33 (assume @p436 (forall @t292 (=> @t315 (= (= @t122 @t550) @t201)))) % 1.12/1.33 (assume @p437 (forall @t292 (=> @t500 (= (= @t550 @t34) @t201)))) % 1.12/1.33 (assume @p438 (forall @t292 (=> @t315 (= (= @t550 @t122) @t201)))) % 1.12/1.33 (assume @p439 (forall @t426 (=> @t593 (=> @t554 (= @t245 (tptp.c_Orderings_Oord__class_Oless @t20 @t148 @t424)))))) % 1.12/1.33 (assume @p440 (forall @t94 (=> @t593 (=> @t105 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t533 @t499))))) % 1.12/1.33 (assume @p441 (forall @t421 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t551 @t550) @t155)))) % 1.12/1.33 (assume @p442 (forall @t128 (=> @t593 (= @t594 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t551 @t122))))) % 1.12/1.33 (assume @p443 (forall @t128 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t122 @t551) (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t120 @t550))))) % 1.12/1.33 (assume @p444 (forall @t128 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t122 @t551) (tptp.c_Orderings_Oord__class_Oless @t20 @t120 @t550))))) % 1.12/1.33 (assume @p445 (forall @t128 (=> @t593 (= @t595 (tptp.c_Orderings_Oord__class_Oless @t20 @t551 @t122))))) % 1.12/1.33 (assume @p446 (forall @t421 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t551 @t550) @t245)))) % 1.12/1.33 (assume @p447 (forall @t226 (=> @t33 (= (tptp.hAPP @t86 (tptp.c_Groups_Ominus__class_Ominus @t20 @t84 @t224)) (tptp.c_Groups_Ominus__class_Ominus @t20 @t87 @t225))))) % 1.12/1.33 (assume @p448 (forall @t223 (=> @t33 (= (tptp.hAPP @t220 @t537) (tptp.c_Groups_Ominus__class_Ominus @t20 @t222 @t221))))) % 1.12/1.33 (assume @p449 (forall @t217 (=> @t33 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t20 @t85 @t215)) @t84) (tptp.c_Groups_Ominus__class_Ominus @t20 @t87 @t216))))) % 1.12/1.33 (assume @p450 (forall @t214 (=> @t33 (= (tptp.hAPP @t596 @t211) (tptp.c_Groups_Ominus__class_Ominus @t20 @t213 @t212))))) % 1.12/1.33 (assume @p451 (forall @t94 (=> @t500 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t534 @t84) @t85)))) % 1.12/1.33 (assume @p452 (forall @t94 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t209 @t84) @t85)))) % 1.12/1.33 (assume @p453 (forall @t94 (=> @t599 (= @t598 @t597)))) % 1.12/1.33 (assume @p454 (forall @t94 (=> @t599 (= @t598 @t601)))) % 1.12/1.33 (assume @p455 (forall @t94 (=> @t33 (= @t597 @t598)))) % 1.12/1.33 (assume @p456 (forall (@list @t13 @t219 @t20) (=> @t33 (= (tptp.hAPP @t220 @t602) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t222))))) % 1.12/1.33 (assume @p457 (forall @t94 (=> @t33 (= @t601 @t598)))) % 1.12/1.33 (assume @p458 (forall @t48 (=> @t33 (= (tptp.hAPP (tptp.hAPP @t29 @t602) @t19) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t31))))) % 1.12/1.33 (assume @p459 (forall @t94 (=> @t599 (= @t601 @t597)))) % 1.12/1.33 (assume @p460 (forall @t94 (=> @t599 (= (tptp.hAPP @t600 @t533) @t87)))) % 1.12/1.33 (assume @p461 (forall @t128 (=> @t415 (= (= (tptp.hAPP @t126 @t122) (tptp.hAPP @t247 @t120)) (or @t227 @t552))))) % 1.12/1.33 (assume @p462 (forall @t94 (=> @t472 (= @t603 (tptp.c_Groups_Oplus__class_Oplus @t20 @t499 @t533))))) % 1.12/1.33 (assume @p463 (forall @t94 (=> @t500 (= @t603 (tptp.c_Groups_Oplus__class_Oplus @t20 @t533 @t499))))) % 1.12/1.33 (assume @p464 (forall @t94 (=> @t500 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 (tptp.c_Groups_Oplus__class_Oplus @t20 @t499 @t84)) @t84)))) % 1.12/1.33 (assume @p465 (forall @t94 (=> @t500 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t499 @t209) @t84)))) % 1.12/1.33 (assume @p466 (forall @t483 (and (=> @t607 (= @t606 @t438)) (=> @t608 (= @t606 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 (tptp.hAPP (tptp.hAPP @t558 @t605) @t257))))))) % 1.12/1.33 (assume @p467 (forall @t94 (=> @t289 (= @t610 @t609)))) % 1.12/1.33 (assume @p468 (forall @t94 (=> @t27 (= @t555 (tptp.c_RealVector_Onorm__class_Onorm @t20 @t548))))) % 1.12/1.33 (assume @p469 (forall @t130 (=> @t289 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t499) @t164)))) % 1.12/1.33 (assume @p470 (forall @t62 (=> @t27 (= (tptp.c_RealVector_Onorm__class_Onorm @t20 @t602) @t25)))) % 1.12/1.33 (assume @p471 (forall @t358 (=> @t472 (= (tptp.c_Groups_Ominus__class_Ominus @t347 @t351 @t356) @t351)))) % 1.12/1.33 (assume @p472 (forall @t62 (=> @t162 (and (=> @t612 (= @t611 @t613)) (=> (not @t612) (= @t611 @t13)))))) % 1.12/1.33 (assume @p473 (forall @t43 (=> @t472 (= (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t356) @t356)))) % 1.12/1.33 (assume @p474 (forall @t62 (=> @t27 (= (tptp.c_Groups_Osgn__class_Osgn @t20 @t602) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t439))))) % 1.12/1.33 (assume @p475 (forall @t94 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t557) @t555)))) % 1.12/1.33 (assume @p476 (forall @t128 (=> @t593 (= @t155 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t553 @t34))))) % 1.12/1.33 (assume @p477 (forall @t128 (=> @t593 (= @t245 (tptp.c_Orderings_Oord__class_Oless @t20 @t553 @t34))))) % 1.12/1.33 (assume @p478 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t550 @t122) @t125)))) % 1.12/1.33 (assume @p479 (forall @t292 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t550 @t34) @t125)))) % 1.12/1.33 (assume @p480 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t122 @t550) @t123)))) % 1.12/1.33 (assume @p481 (forall @t292 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t550) @t123)))) % 1.12/1.33 (assume @p482 (forall @t292 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t550) @t338)))) % 1.12/1.33 (assume @p483 (forall @t292 (=> @t593 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t550 @t34) @t337)))) % 1.12/1.33 (assume @p484 (forall @t292 (=> @t315 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t550 @t122) @t337)))) % 1.12/1.33 (assume @p485 (forall @t292 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t122 @t550) @t338)))) % 1.12/1.33 (assume @p486 (forall @t130 (=> @t500 (= (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t499) @t34)))) % 1.12/1.33 (assume @p487 (forall @t128 (=> @t500 (= @t552 (= @t302 @t34))))) % 1.12/1.33 (assume @p488 (forall @t130 (=> @t500 @t614))) % 1.12/1.33 (assume @p489 (forall @t130 (=> @t472 @t614))) % 1.12/1.33 (assume @p490 (forall @t94 (=> @t500 (=> (= @t209 @t34) (= @t499 @t84))))) % 1.12/1.33 (assume @p491 (forall @t55 (=> @t500 (= @t335 (= @t49 @t615))))) % 1.12/1.33 (assume @p492 (forall @t620 (=> @t599 (= @t619 (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t30 @t618) @t617))))) % 1.12/1.33 (assume @p493 (forall @t620 (=> @t33 (= @t619 (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.hAPP @t616 @t618) @t617) (tptp.hAPP @t86 @t618)))))) % 1.12/1.33 (assume @p494 (forall @t626 (=> @t599 (= @t625 (= @t148 @t622))))) % 1.12/1.33 (assume @p495 (forall @t626 (=> @t599 (= @t625 (= @t627 @t424))))) % 1.12/1.33 (assume @p496 (forall @t39 (=> @t628 (= (= @t52 @t40) (or @t310 (= @t35 @t459)))))) % 1.12/1.33 (assume @p497 (forall @t62 (=> @t538 (= @t602 (tptp.hAPP (tptp.hAPP @t29 @t459) @t13))))) % 1.12/1.33 (assume @p498 (forall @t94 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t629 @t609)))) % 1.12/1.33 (assume @p499 (forall @t94 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t629 @t610)))) % 1.12/1.33 (assume @p500 (forall @t94 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Groups_Oabs__class_Oabs @t20 @t629) @t610)))) % 1.12/1.33 (assume @p501 (forall @t94 (=> @t289 (=> @t334 @t630)))) % 1.12/1.33 (assume @p502 (forall @t94 (=> @t289 (=> @t105 (=> @t630 @t334))))) % 1.12/1.33 (assume @p503 (forall @t128 (=> @t289 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t291 @t120) (and @t155 @t594))))) % 1.12/1.33 (assume @p504 (forall @t130 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t499 @t164)))) % 1.12/1.33 (assume @p505 (forall @t128 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t291 @t120) (and @t245 @t595))))) % 1.12/1.33 (assume @p506 (forall @t60 (= @t77 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t35 @t49) @t8)))) % 1.12/1.33 (assume @p507 (forall (@list @t13 @t176) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t10 @t176) @t176)) (tptp.hAPP @t263 @t13)))) % 1.12/1.33 (assume @p508 (forall @t60 (= (= @t632 @t8) (= @t49 @t631)))) % 1.12/1.33 (assume @p509 (forall @t633 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t35 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t122)) @t8) (= @t35 @t122)))) % 1.12/1.33 (assume @p510 (forall @t455 (=> @t296 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t356) @t257) @t34)))) % 1.12/1.33 (assume @p511 (forall (@list @t634 @t35) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t35) @t634) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t634) @t35) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t634))))) % 1.12/1.33 (assume @p512 (forall @t267 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t542) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t19 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t13)))))) % 1.12/1.33 (assume @p513 (forall @t547 (=> @t313 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t20 @t353) @t257) (tptp.c_Groups_Oplus__class_Oplus @t20 @t545 @t546))))) % 1.12/1.33 (assume @p514 (forall @t62 (=> @t162 (and (=> @t637 (= @t635 @t356)) (=> (not @t637) (and (=> @t636 (= @t635 @t348)) (=> (not @t636) (= @t635 (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t348))))))))) % 1.12/1.33 (assume @p515 (forall @t626 (=> @t96 (= @t638 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t148 @t622))))) % 1.12/1.33 (assume @p516 (forall @t626 (=> @t96 (= @t638 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t627 @t424))))) % 1.12/1.33 (assume @p517 (forall @t626 (=> @t96 (= @t639 (tptp.c_Orderings_Oord__class_Oless @t20 @t148 @t622))))) % 1.12/1.33 (assume @p518 (forall @t626 (=> @t96 (= @t639 (tptp.c_Orderings_Oord__class_Oless @t20 @t627 @t424))))) % 1.12/1.33 (assume @p519 (forall @t62 (=> @t640 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t45 @t40) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oplus__class_Oplus @t20 @t13 @t40)) (tptp.c_Groups_Ominus__class_Ominus @t20 @t13 @t40)))))) % 1.12/1.33 (assume @p520 (forall @t130 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t164) @t34)))) % 1.12/1.33 (assume @p521 (forall @t130 (=> @t289 (=> @t90 @t641)))) % 1.12/1.33 (assume @p522 (forall @t130 (=> (tptp.class_Groups_Oabs__if @t20) (and @t642 (=> (not @t239) @t290))))) % 1.12/1.33 (assume @p523 (forall @t130 (=> @t289 @t642))) % 1.12/1.33 (assume @p524 (forall @t94 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t610 @t288)))) % 1.12/1.33 (assume @p525 (forall @t107 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Groups_Oabs__class_Oabs @t20 @t458) (tptp.c_Groups_Oplus__class_Oplus @t20 (tptp.c_Groups_Oabs__class_Oabs @t20 @t457) (tptp.c_Groups_Oabs__class_Oabs @t20 @t456)))))) % 1.12/1.33 (assume @p526 (forall @t94 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t557 (tptp.c_RealVector_Onorm__class_Onorm @t20 @t209))))) % 1.12/1.33 (assume @p527 (forall @t94 (=> @t27 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t555 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t233 @t556))))) % 1.12/1.33 (assume @p528 (forall @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t632) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t631 @t49)))) % 1.12/1.33 (assume @p529 (forall @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t632 @t8) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 @t631)))) % 1.12/1.33 (assume @p530 (forall @t647 (and (=> @t646 (= @t644 @t8)) (=> (not @t646) (and (=> @t645 (= @t644 @t15)) (=> (not @t645) (= @t644 @t643))))))) % 1.12/1.33 (assume @p531 (forall @t16 (and (=> @t275 (= @t448 @t8)) (=> (not @t275) (and @t449 (=> (not @t266) (= @t448 @t643))))))) % 1.12/1.33 (assume @p532 (forall @t60 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t632) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t631 @t49)))) % 1.12/1.33 (assume @p533 (forall @t60 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t632 @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t631)))) % 1.12/1.33 (assume @p534 (forall @t647 (and (=> @t649 (= @t648 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t85))) (=> (not @t649) (= @t648 @t85))))) % 1.12/1.33 (assume @p535 (forall @t80 (and (=> @t650 (= @t79 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t18))) (=> (not @t650) (= @t79 @t18))))) % 1.12/1.33 (assume @p536 (forall (@list @t258 @t504 @t19 @t13) (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 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t13 @t19) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t652 @t651))) (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 @t13 @t652)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t19 @t651)))))) % 1.12/1.33 (assume @p537 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t438) @t653))) % 1.12/1.33 (assume @p538 (forall @t491 (= @t660 @t656))) % 1.12/1.33 (assume @p539 (forall @t664 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t663 @t661) @t656))) % 1.12/1.33 (assume @p540 (forall @t450 (=> @t454 @t480))) % 1.12/1.33 (assume @p541 (forall @t73 (=> @t517 (=> @t665 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t569 @t568))))) % 1.12/1.33 (assume @p542 (forall @t73 (=> @t517 (=> @t665 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t565 @t563))))) % 1.12/1.33 (assume @p543 (forall @t483 (=> @t485 @t454))) % 1.12/1.33 (assume @p544 (forall @t664 (= (= @t663 @t661) @t667))) % 1.12/1.33 (assume @p545 (forall @t491 (= @t668 @t667))) % 1.12/1.33 (assume @p546 (forall @t664 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t663 @t661) @t669))) % 1.12/1.33 (assume @p547 (forall @t491 (= @t670 @t669))) % 1.12/1.33 (assume @p548 (forall @t495 (= (= @t672 @t438) (or @t671 @t653)))) % 1.12/1.33 (assume @p549 (forall @t477 (= (tptp.hAPP @t559 @t438) @t438))) % 1.12/1.33 (assume @p550 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t672) (and @t674 @t673)))) % 1.12/1.33 (assume @p551 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t558 @t438) @t257) @t438))) % 1.12/1.33 (assume @p552 (forall @t654 (= @t675 @t673))) % 1.12/1.33 (assume @p553 (forall @t483 (=> (= @t258 @t606) (or (= @t257 @t604) @t607)))) % 1.12/1.33 (assume @p554 (forall @t483 (=> (= @t591 @t258) @t453))) % 1.12/1.33 (assume @p555 (forall @t495 (= (= @t676 @t438) (and @t671 @t653)))) % 1.12/1.33 (assume @p556 (forall @t477 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t438) @t258))) % 1.12/1.33 (assume @p557 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t676) (or @t674 @t673)))) % 1.12/1.33 (assume @p558 (forall @t450 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t438 @t257) @t257))) % 1.12/1.33 (assume @p559 (forall @t62 (=> @t446 (and (=> @t272 (= @t439 @t34)) (=> @t441 (and (=> @t677 (= @t439 @t40)) (=> (not @t677) (= @t439 @t459)))))))) % 1.12/1.33 (assume @p560 (forall @t292 (=> @t162 (= (= @t444 @t459) @t338)))) % 1.12/1.33 (assume @p561 (forall (@list @t634 @t122 @t35 @t20) (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t20 (tptp.c_Groups_Oabs__class_Oabs @t20 (tptp.c_Groups_Ominus__class_Ominus @t20 @t35 @t122)) @t634) (and (tptp.c_Orderings_Oord__class_Oless @t20 (tptp.c_Groups_Ominus__class_Ominus @t20 @t122 @t634) @t35) (tptp.c_Orderings_Oord__class_Oless @t20 @t35 (tptp.c_Groups_Oplus__class_Oplus @t20 @t122 @t634))))))) % 1.12/1.33 (assume @p562 (forall (@list @t85 @t84) (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 @t84 @t85)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t84)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t85)))) % 1.12/1.33 (assume @p563 (forall @t491 (=> @t655 (= @t660 @t494)))) % 1.12/1.33 (assume @p564 (forall @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t678) @t678))) % 1.12/1.33 (assume @p565 (forall @t684 (=> @t585 (= @t683 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t680))))) % 1.12/1.33 (assume @p566 (forall @t687 (=> @t686 (= @t683 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t685 @t473))))) % 1.12/1.33 (assume @p567 (forall @t483 (= @t591 @t470))) % 1.12/1.33 (assume @p568 (forall @t82 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t688) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t66))))) % 1.12/1.33 (assume @p569 (forall @t483 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t591 @t257) @t258))) % 1.12/1.33 (assume @p570 (forall @t471 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t470 @t257) @t258))) % 1.12/1.33 (assume @p571 (forall @t690 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t591 @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t689)))) % 1.12/1.33 (assume @p572 (forall @t73 (= @t692 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t71 @t519)))) % 1.12/1.33 (assume @p573 (forall @t491 (= (= @t526 @t525) @t496))) % 1.12/1.33 (assume @p574 (forall @t664 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t474 @t486) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t473 @t486)) @t496))) % 1.12/1.33 (assume @p575 (forall @t573 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t693 @t513) @t478))) % 1.12/1.33 (assume @p576 (forall @t576 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t574 @t689) @t478))) % 1.12/1.33 (assume @p577 (forall @t73 (= @t692 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t71 @t70) @t72)))) % 1.12/1.33 (assume @p578 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t558 @t478) @t70) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t696 @t695)))) % 1.12/1.33 (assume @p579 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t558 @t606) @t70) (tptp.hAPP @t559 @t695)))) % 1.12/1.33 (assume @p580 (forall @t573 (= (tptp.hAPP @t567 @t478) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t698 @t697)))) % 1.12/1.33 (assume @p581 (forall @t483 (= @t606 @t699))) % 1.12/1.33 (assume @p582 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t558 @t604) @t257) @t257))) % 1.12/1.33 (assume @p583 (forall @t495 (= (= @t604 @t672) @t700))) % 1.12/1.33 (assume @p584 (forall @t450 (= (tptp.hAPP @t694 @t604) @t257))) % 1.12/1.33 (assume @p585 (forall @t495 (= (= @t672 @t604) @t700))) % 1.12/1.33 (assume @p586 (forall @t690 (= (tptp.hAPP (tptp.hAPP @t558 @t591) @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t696 @t695)))) % 1.12/1.33 (assume @p587 (forall @t573 (= (tptp.hAPP @t567 @t591) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t698 @t697)))) % 1.12/1.33 (assume @p588 (forall (@list @t70 @t72 @t176 @t71) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t702 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t701 @t70)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t512) @t176) @t70)))) % 1.12/1.33 (assume @p589 (forall @t491 (= @t668 (or @t666 @t496)))) % 1.12/1.33 (assume @p590 (forall @t684 (=> @t585 (= @t703 (= @t474 @t680))))) % 1.12/1.33 (assume @p591 (forall (@list @t257 @t258 @t176 @t72 @t71) (=> @t566 (= @t704 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t71)) @t176) @t257)))))) % 1.12/1.33 (assume @p592 (forall @t684 (=> @t585 (= @t705 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t680))))) % 1.12/1.33 (assume @p593 (forall @t687 (=> @t686 (= @t703 (= @t685 @t473))))) % 1.12/1.33 (assume @p594 (forall (@list @t257 @t258 @t176 @t71 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 @t71) (= @t704 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t691) @t176) @t258) @t257))))) % 1.12/1.33 (assume @p595 (forall @t687 (=> @t686 (= @t705 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t685 @t473))))) % 1.12/1.33 (assume @p596 (forall @t267 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t13 @t19) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t19))))) % 1.12/1.33 (assume @p597 (forall @t491 (=> @t655 (= @t668 @t496)))) % 1.12/1.33 (assume @p598 (forall @t491 (=> @t655 (= @t670 @t475)))) % 1.12/1.33 (assume @p599 (forall @t16 (=> @t708 (= (tptp.c_RComplete_Onatceiling @t707) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t706 @t604))))) % 1.12/1.33 (assume @p600 (forall @t16 (=> @t708 (= (tptp.c_RComplete_Onatfloor @t707) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t709 @t604))))) % 1.12/1.33 (assume @p601 (forall @t82 (=> @t711 @t710))) % 1.12/1.33 (assume @p602 (= (tptp.c_RComplete_Onatfloor @t8) @t438)) % 1.12/1.33 (assume @p603 (forall @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t709))) % 1.12/1.33 (assume @p604 (forall @t267 (=> @t81 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t709 (tptp.c_RComplete_Onatfloor @t19))))) % 1.12/1.33 (assume @p605 (= (tptp.c_RComplete_Onatfloor @t15) @t604)) % 1.12/1.33 (assume @p606 (= (tptp.c_RComplete_Onatceiling @t8) @t438)) % 1.12/1.33 (assume @p607 (forall @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t706))) % 1.12/1.33 (assume @p608 (forall @t267 (=> @t81 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t706 (tptp.c_RComplete_Onatceiling @t19))))) % 1.12/1.33 (assume @p609 (= (tptp.c_RComplete_Onatceiling @t15) @t604)) % 1.12/1.33 (assume @p610 (forall @t16 (=> @t712 (= @t709 @t438)))) % 1.12/1.33 (assume @p611 (forall @t16 (=> @t712 (= @t706 @t438)))) % 1.12/1.33 (assume @p612 (forall @t63 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t714) @t713))) % 1.12/1.33 (assume @p613 (forall @t63 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t715 @t604) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t15)))) % 1.12/1.33 (assume @p614 (forall @t717 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t85) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t84) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t558 @t716) (tptp.c_RComplete_Onatfloor @t84)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t10 @t85) @t84))))))) % 1.12/1.33 (assume @p615 (forall @t719 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t66) @t718))) % 1.12/1.33 (assume @p616 (forall @t82 (=> @t511 @t718))) % 1.12/1.33 (assume @p617 (forall @t267 (=> @t511 @t711))) % 1.12/1.33 (assume @p618 (forall @t719 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t66) @t710))) % 1.12/1.33 (assume @p619 (forall @t723 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t721 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t722) (= @t706 @t720))))) % 1.12/1.33 (assume @p620 (forall @t94 (=> @t472 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t499 @t533) @t549)))) % 1.12/1.33 (assume @p621 (forall @t261 (=> @t472 (= (tptp.c_Groups_Ominus__class_Ominus @t20 @t251 @t324) (tptp.c_Groups_Oplus__class_Oplus @t20 @t534 (tptp.c_Groups_Ominus__class_Ominus @t20 @t100 @t97)))))) % 1.12/1.33 (assume @p622 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t721))) % 1.12/1.33 (assume @p623 (forall @t450 (= (tptp.c_RComplete_Onatfloor @t721) @t257))) % 1.12/1.33 (assume @p624 (forall @t450 (= (tptp.c_RComplete_Onatceiling @t721) @t257))) % 1.12/1.33 (assume @p625 (forall @t476 (= (= @t726 @t725) @t724))) % 1.12/1.33 (assume @p626 (forall @t16 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t727) @t727))) % 1.12/1.33 (assume @p627 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t438) @t8)) % 1.12/1.33 (assume @p628 (forall @t654 (= (= @t726 @t8) @t653))) % 1.12/1.33 (assume @p629 (forall @t450 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t721 @t8)))) % 1.12/1.33 (assume @p630 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t726 @t725) @t503))) % 1.12/1.33 (assume @p631 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t726 @t725) @t728))) % 1.12/1.33 (assume @p632 (forall @t483 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t606) (tptp.hAPP (tptp.hAPP @t10 @t729) @t721)))) % 1.12/1.33 (assume @p633 (forall @t483 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t591) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t729 @t721)))) % 1.12/1.33 (assume @p634 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t604) @t15)) % 1.12/1.33 (assume @p635 (forall @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t706)))) % 1.12/1.33 (assume @p636 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t726 @t8) @t653))) % 1.12/1.33 (assume @p637 (forall @t471 (=> @t561 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t478) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t729 @t721))))) % 1.12/1.33 (assume @p638 (forall @t16 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t730 @t13)))) % 1.12/1.33 (assume @p639 (forall @t731 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t727 @t85) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t716)))) % 1.12/1.33 (assume @p640 (forall @t731 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t732) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t706 @t85)))) % 1.12/1.33 (assume @p641 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t726) @t673))) % 1.12/1.33 (assume @p642 (forall @t476 (= @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t726 @t15) @t725)))) % 1.12/1.33 (assume @p643 (forall @t476 (= @t728 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t726 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t725 @t15))))) % 1.12/1.33 (assume @p644 (forall @t633 (=> @t734 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 @t714) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t733 @t35))))) % 1.12/1.33 (assume @p645 (forall @t633 (=> @t734 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t715 @t122) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t733))))) % 1.12/1.33 (assume @p646 (forall @t16 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t730 @t15)))) % 1.12/1.33 (assume @p647 (forall @t737 (=> @t736 (= (tptp.c_RComplete_Onatfloor @t735) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t709 @t85))))) % 1.12/1.33 (assume @p648 (forall @t16 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t13 @t15) @t730))) % 1.12/1.33 (assume @p649 (forall @t737 (=> @t736 (= (tptp.c_RComplete_Onatceiling @t735) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t706 @t85))))) % 1.12/1.33 (assume @p650 (forall @t738 (=> @t708 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t721) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t709 @t257))))) % 1.12/1.33 (assume @p651 (forall @t731 (=> @t708 (= (tptp.c_RComplete_Onatfloor @t739) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t709 @t85))))) % 1.12/1.33 (assume @p652 (forall (@list @t257 @t66) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t66) @t604) @t257) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t66 @t721)))) % 1.12/1.33 (assume @p653 (forall @t723 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t721 @t13) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t722) (= @t709 @t257))))) % 1.12/1.33 (assume @p654 (forall @t731 (=> @t708 (= (tptp.c_RComplete_Onatceiling @t739) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t706 @t85))))) % 1.12/1.33 (assume @p655 (forall @t80 (=> @t741 (exists @t544 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t543 @t604)) @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 @t740)))))) % 1.12/1.33 (assume @p656 (forall @t55 (=> @t743 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t615 @t742) @t369)))) % 1.12/1.33 (assume @p657 (forall @t48 (=> @t743 (=> @t367 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t536 @t602))))) % 1.12/1.33 (assume @p658 (forall @t130 (=> @t744 (= @t129 @t85)))) % 1.12/1.33 (assume @p659 (forall @t62 (=> @t744 (= @t45 @t13)))) % 1.12/1.33 (assume @p660 (forall @t94 (=> @t744 (= (tptp.hAPP @t86 @t87) @t87)))) % 1.12/1.33 (assume @p661 (forall (@list @t35 @t745 @t746 @t361 @t20) (=> (tptp.class_Groups_Ominus @t20) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t748 @t746 @t745) @t35) (tptp.c_Groups_Ominus__class_Ominus @t20 @t747 (tptp.hAPP @t745 @t35)))))) % 1.12/1.33 (assume @p662 (forall @t55 (=> @t743 (= (= @t615 @t742) @t75)))) % 1.12/1.33 (assume @p663 (forall (@list @t35 @t746 @t361 @t20) (=> (tptp.class_Groups_Ouminus @t20) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t748 @t746) @t35) (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t747))))) % 1.12/1.33 (assume @p664 (forall @t62 (=> @t743 (= (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t602) @t13)))) % 1.12/1.33 (assume @p665 (forall @t755 (=> @t754 (=> @t753 (exists @t464 (and @t752 (forall @t751 (=> @t750 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t85 @t749) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t749 @t84)))))))))) % 1.12/1.33 (assume @p666 (forall (@list @t473 @t461) (=> @t466 (=> (tptp.hBOOL @t501) (exists @t588 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t586 @t473) (forall @t758 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t756 @t586) (not @t757))) (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t586 @t604))))))))) % 1.12/1.33 (assume @p667 (forall @t55 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless @t347 @t35 @t49) @t759)))) % 1.12/1.33 (assume @p668 (forall @t43 (=> @t162 (not (tptp.c_Polynomial_Opos__poly @t20 @t356))))) % 1.12/1.33 (assume @p669 (forall @t762 (=> @t162 (=> @t761 (=> @t760 (tptp.c_Polynomial_Opos__poly @t20 @t353)))))) % 1.12/1.33 (assume @p670 (forall @t762 (=> @t162 (=> @t761 (=> @t760 (tptp.c_Polynomial_Opos__poly @t20 @t427)))))) % 1.12/1.33 (assume @p671 (forall @t55 (=> @t162 (= (tptp.c_Orderings_Oord__class_Oless__eq @t347 @t35 @t49) (or @t75 @t759))))) % 1.12/1.33 (assume @p672 (forall @t358 (=> @t162 (or (= @t351 @t356) @t761 (tptp.c_Polynomial_Opos__poly @t20 @t541))))) % 1.12/1.33 (assume @p673 (forall @t755 (=> @t754 (=> @t753 (exists @t464 (and @t752 (forall @t751 (=> @t750 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t85 @t749) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t749 @t84)))))))))) % 1.12/1.33 (assume @p674 (forall (@list @t764 @t763 @t20 @t361) (=> (and @t769 @t375) (=> (forall @t544 (=> @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t361 (tptp.c_Groups_Ominus__class_Ominus @t361 @t765 @t766)) @t15))) (forall @t544 (=> @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t767 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 (tptp.c_RealVector_Onorm__class_Onorm @t361 @t765))))))))) % 1.12/1.33 (assume @p675 (forall @t16 (=> @t266 (forall @t751 (exists @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t749 (tptp.hAPP @t770 @t13))))))) % 1.12/1.33 (assume @p676 (forall @t774 (=> @t371 (= (tptp.c_SEQ_Odecseq @t20 @t764) (forall @t773 (=> @t772 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t766 @t771))))))) % 1.12/1.33 (assume @p677 (forall @t738 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t776 @t13) @t15) (tptp.hAPP (tptp.hAPP @t775 @t707) @t257))))) % 1.12/1.33 (assume @p678 (forall @t774 (=> @t27 (= @t779 @t778)))) % 1.12/1.33 (assume @p679 (forall @t785 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t784 @t780)))) % 1.12/1.33 (assume @p680 (forall @t62 (=> @t340 (= (tptp.hAPP @t782 @t438) @t40)))) % 1.12/1.33 (assume @p681 (forall @t788 (=> @t340 (= (tptp.hAPP (tptp.hAPP @t29 @t787) @t786) (tptp.hAPP @t782 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t351 @t349)))))) % 1.12/1.33 (assume @p682 (forall @t785 (=> @t262 (= @t784 @t780)))) % 1.12/1.33 (assume @p683 (forall (@list @t13 @t257 @t351 @t20) (=> @t340 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t20 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t347) @t351) @t257)) @t13) (tptp.hAPP (tptp.hAPP @t781 @t352) @t257))))) % 1.12/1.33 (assume @p684 (forall (@list @t349 @t19 @t13 @t20) (=> @t340 (= (tptp.hAPP (tptp.hAPP @t781 @t31) @t349) (tptp.hAPP @t790 (tptp.hAPP @t789 @t349)))))) % 1.12/1.33 (assume @p685 (forall @t62 (=> @t340 (= (tptp.hAPP @t782 @t604) @t13)))) % 1.12/1.33 (assume @p686 (forall @t788 (=> @t340 (= (tptp.hAPP (tptp.hAPP @t781 @t787) @t349) (tptp.hAPP @t782 (tptp.hAPP @t791 @t349)))))) % 1.12/1.33 (assume @p687 (forall (@list @t13 @t257 @t20) (=> @t331 (=> @t480 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t782 @t792)) @t13) @t783))))) % 1.12/1.33 (assume @p688 (forall (@list @t258 @t257 @t20) (=> @t795 (and (=> @t453 (= @t794 @t40)) (=> @t454 (= @t794 (tptp.hAPP @t259 (tptp.hAPP @t793 @t792)))))))) % 1.12/1.33 (assume @p689 (forall @t801 (=> @t42 (=> @t136 (=> @t92 (=> @t480 @t800)))))) % 1.12/1.33 (assume @p690 (forall @t803 (=> @t42 (=> @t802 (=> @t480 (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t799)))))) % 1.12/1.33 (assume @p691 (forall @t808 (= @t807 (or @t804 @t653)))) % 1.12/1.33 (assume @p692 (forall (@list @t257 @t258 @t71) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t71) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t809 @t258) @t810) @t485)))) % 1.12/1.33 (assume @p693 (forall @t808 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 (tptp.hAPP (tptp.hAPP @t812 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t35)) @t473)) (or (not (= @t35 @t811)) @t653)))) % 1.12/1.33 (assume @p694 (forall @t82 (= (tptp.hAPP (tptp.hAPP @t812 @t814) @t66) (tptp.hAPP @t813 (tptp.hAPP (tptp.hAPP @t558 @t19) @t66))))) % 1.12/1.33 (assume @p695 (forall @t82 (= (tptp.hAPP @t813 @t688) (tptp.hAPP (tptp.hAPP @t815 @t814) (tptp.hAPP @t813 @t66))))) % 1.12/1.33 (assume @p696 (forall @t483 (= @t817 @t816))) % 1.12/1.33 (assume @p697 (forall @t483 (= @t816 @t817))) % 1.12/1.33 (assume @p698 (forall @t738 (=> (= @t13 @t730) (= (tptp.c_RComplete_Onatfloor @t818) (tptp.hAPP (tptp.hAPP @t805 @t709) @t257))))) % 1.12/1.33 (assume @p699 (forall (@list @t351 @t258) (and (=> @t607 (= @t820 @t604)) (=> @t608 (= @t820 (tptp.hAPP @t791 (tptp.hAPP @t819 @t605))))))) % 1.12/1.33 (assume @p700 (forall @t803 (=> @t628 (=> @t200 (not (= @t799 @t34)))))) % 1.12/1.33 (assume @p701 (forall @t801 (=> @t332 (= (tptp.hAPP (tptp.hAPP @t781 @t87) @t257) (tptp.hAPP @t821 @t797))))) % 1.12/1.33 (assume @p702 (forall @t803 (=> @t331 (= @t823 @t822)))) % 1.12/1.33 (assume @p703 (forall @t455 (=> @t331 (= (tptp.hAPP (tptp.hAPP @t781 @t40) @t257) @t40)))) % 1.12/1.33 (assume @p704 (forall @t825 (=> @t331 (= (tptp.hAPP @t798 @t606) (tptp.hAPP (tptp.hAPP @t781 @t824) @t257))))) % 1.12/1.33 (assume @p705 (forall @t803 (=> @t162 (= @t827 @t826)))) % 1.12/1.33 (assume @p706 (forall @t130 (=> @t331 (= (tptp.hAPP @t798 @t604) @t85)))) % 1.12/1.33 (assume @p707 (forall @t801 (=> @t42 (=> @t105 (=> @t92 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t799 @t797)))))) % 1.12/1.33 (assume @p708 (forall @t803 (=> @t42 (=> @t92 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t799))))) % 1.12/1.33 (assume @p709 (forall @t803 (=> @t42 (=> @t145 (tptp.c_Orderings_Oord__class_Oless @t20 @t34 @t799))))) % 1.12/1.33 (assume @p710 (forall @t803 (=> @t42 (=> @t828 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t40 @t799))))) % 1.12/1.33 (assume @p711 (forall (@list @t473 @t122 @t20) (=> (and @t795 @t203 @t198 @t207) (= (= @t830 @t34) (and @t201 @t675))))) % 1.12/1.33 (assume @p712 (forall (@list @t473 @t474 @t122 @t20) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t122) (= (= (tptp.hAPP @t829 @t474) @t830) @t496))))) % 1.12/1.33 (assume @p713 (forall @t130 (=> @t795 (= (tptp.hAPP @t798 @t438) @t40)))) % 1.12/1.33 (assume @p714 (forall @t825 (=> @t331 (= (tptp.hAPP @t798 @t591) (tptp.hAPP (tptp.hAPP @t29 @t824) @t799))))) % 1.12/1.33 (assume @p715 (forall @t803 (=> @t162 (= (tptp.c_Groups_Oabs__class_Oabs @t20 @t831) @t827)))) % 1.12/1.33 (assume @p716 (forall @t832 (=> @t42 (=> @t800 (=> @t89 @t136))))) % 1.12/1.33 (assume @p717 (forall @t803 (=> @t42 (=> @t802 (tptp.c_Orderings_Oord__class_Oless @t20 @t799 @t822))))) % 1.12/1.33 (assume @p718 (forall @t803 (=> @t42 (=> @t802 (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t822))))) % 1.12/1.33 (assume @p719 (forall @t455 (=> @t835 (and (=> @t453 (= @t834 @t40)) (=> @t454 (= @t834 @t34)))))) % 1.12/1.33 (assume @p720 (forall @t803 (=> @t162 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t826)))) % 1.12/1.33 (assume @p721 (forall @t803 (=> @t640 (= @t831 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t781 @t459) @t257)) @t799))))) % 1.12/1.33 (assume @p722 (forall @t839 (=> @t42 (=> @t838 (=> @t802 (tptp.c_Orderings_Oord__class_Oless @t20 @t799 @t837)))))) % 1.12/1.33 (assume @p723 (forall @t825 (=> @t42 (=> @t802 (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t824 @t799) @t485))))) % 1.12/1.33 (assume @p724 (forall @t844 (=> @t42 (=> @t843 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t842 @t841) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t49)))))) % 1.12/1.33 (assume @p725 (forall @t839 (=> @t42 (=> @t845 (=> @t828 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t799 @t837)))))) % 1.12/1.33 (assume @p726 (forall @t803 (=> @t42 (=> @t145 (=> @t846 (tptp.c_Orderings_Oord__class_Oless @t20 @t822 @t799)))))) % 1.12/1.33 (assume @p727 (forall @t839 (=> @t42 (=> @t838 (=> @t145 (=> @t846 (tptp.c_Orderings_Oord__class_Oless @t20 @t837 @t799))))))) % 1.12/1.33 (assume @p728 (forall @t832 (=> @t42 (=> (= @t799 @t797) (=> @t92 (=> @t89 (=> @t480 @t344))))))) % 1.12/1.33 (assume @p729 (forall @t839 (=> @t42 (=> @t845 (=> @t92 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t85 @t40) (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t837 @t799))))))) % 1.12/1.33 (assume @p730 (forall @t844 (=> @t42 (=> @t843 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t842 @t841) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t49)))))) % 1.12/1.33 (assume @p731 (forall @t825 (=> @t42 (=> @t802 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t824 @t799) @t484))))) % 1.12/1.33 (assume @p732 (forall @t774 (=> @t27 (= @t779 (exists @t588 (and @t847 (exists @t6 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 (tptp.c_Groups_Oplus__class_Oplus @t20 @t766 (tptp.c_Groups_Ouminus__class_Ouminus @t20 @t3))) @t586))))))))) % 1.12/1.33 (assume @p733 (forall @t774 (=> @t27 (= @t779 (exists @t588 (and @t847 (exists @t849 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t20 (tptp.c_Groups_Oplus__class_Oplus @t20 @t766 (tptp.c_Groups_Ouminus__class_Ouminus @t20 (tptp.hAPP @t764 @t848)))) @t586))))))))) % 1.12/1.33 (assume @p734 (forall @t43 (=> @t795 (= @t781 (tptp.c_Power_Opower_Opower @t20 @t40 @t29))))) % 1.12/1.33 (assume @p735 (forall @t738 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 (tptp.hAPP (tptp.hAPP @t812 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t13)) @t257)))) % 1.12/1.33 (assume @p736 (forall @t852 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t422 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t169 @t851)) @t850))) % 1.12/1.33 (assume @p737 (forall @t853 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t851 @t169) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t169)))) % 1.12/1.33 (assume @p738 (forall (@list @t422 @t169) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t169 @t422) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t169 @t422) (not (= @t169 @t422)))))) % 1.12/1.33 (assume @p739 (forall @t852 (= @t854 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t422 @t169)))) % 1.12/1.33 (assume @p740 (forall @t852 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t422 @t851) @t169) @t850))) % 1.12/1.33 (assume @p741 (forall @t231 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t66) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t855)))) % 1.12/1.33 (assume @p742 (forall @t83 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t64 @t66) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t64 @t851) @t66)))) % 1.12/1.33 (assume @p743 (forall (@list @t66 @t857 @t64 @t858) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t858 @t64) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t857 @t66) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t858 @t857) @t856))))) % 1.12/1.33 (assume @p744 (forall @t231 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t855 @t66) @t811)))) % 1.12/1.33 (assume @p745 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t811 @t66) @t66))) % 1.12/1.33 (assume @p746 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t66 @t811) @t66))) % 1.12/1.33 (assume @p747 (not (= @t811 @t851))) % 1.12/1.33 (assume @p748 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t815 @t851) @t66) @t66))) % 1.12/1.33 (assume @p749 (forall @t231 (= (tptp.hAPP @t859 @t851) @t66))) % 1.12/1.33 (assume @p750 (forall @t69 (= @t861 (tptp.hAPP @t860 @t66)))) % 1.12/1.33 (assume @p751 (forall @t193 (= (tptp.hAPP (tptp.hAPP @t815 (tptp.hAPP @t863 @t189)) @t188) (tptp.hAPP @t863 (tptp.hAPP @t862 @t188))))) % 1.12/1.33 (assume @p752 (forall @t483 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t815 @t258) @t257)) @t851) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t258) @t851)))) % 1.12/1.33 (assume @p753 (forall @t232 (= (tptp.hAPP (tptp.hAPP @t815 @t866) @t64) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t865 @t864)))) % 1.12/1.33 (assume @p754 (forall @t869 (= (tptp.hAPP @t860 @t866) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t868 @t867)))) % 1.12/1.33 (assume @p755 (forall @t852 (= @t854 (or @t850 (= @t422 @t169))))) % 1.12/1.33 (assume @p756 (forall @t73 (=> @t870 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t70))))) % 1.12/1.33 (assume @p757 (forall @t267 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t19) @t185 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t19 @t13)))) % 1.12/1.33 (assume @p758 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t851)) % 1.12/1.33 (assume @p759 (forall @t495 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t474) (= (= (tptp.hAPP (tptp.hAPP @t815 @t474) @t473) @t851) (and (= @t474 @t851) (= @t473 @t851)))))) % 1.12/1.33 (assume @p760 (forall @t73 (=> @t870 (=> @t872 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t871 @t71) (tptp.hAPP @t871 @t72)))))) % 1.12/1.33 (assume @p761 (forall @t853 (= (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 @t851 @t169) @t169) @t811) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t169 @t811)))) % 1.12/1.33 (assume @p762 (forall @t853 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t169) @t851) (= @t169 @t811)))) % 1.12/1.33 (assume @p763 (forall @t232 (= (tptp.hAPP (tptp.hAPP @t815 @t873) @t64) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t865 @t864)))) % 1.12/1.33 (assume @p764 (forall @t69 (= (tptp.hAPP (tptp.hAPP @t815 @t874) @t64) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t861)))) % 1.12/1.33 (assume @p765 (forall @t869 (= (tptp.hAPP @t860 @t873) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t868 @t867)))) % 1.12/1.33 (assume @p766 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t811) @t811)) % 1.12/1.33 (assume @p767 (forall @t878 (and (=> @t877 (= @t875 @t811)) (=> (not @t877) (and (=> @t876 (= @t875 @t851)) (=> (not @t876) (= @t875 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t851)))))))) % 1.12/1.33 (assume @p768 (forall @t590 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t589) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t486 @t589) @t811)))) % 1.12/1.33 (assume @p769 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t874 @t66) @t811))) % 1.12/1.33 (assume @p770 (forall @t878 (and (=> @t880 (= @t879 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t71))) (=> (not @t880) (= @t879 @t71))))) % 1.12/1.33 (assume @p771 (forall (@list @t122 @t882 @t881 @t20) (= (tptp.hAPP @t883 @t438) @t881))) % 1.12/1.33 (assume @p772 (forall (@list @t66 @t13 @t97) (=> @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t13 @t884) @t66)))) % 1.12/1.33 (assume @p773 (forall (@list @t13 @t66 @t97) (=> @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t66 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t884))))) % 1.12/1.33 (assume @p774 (forall @t69 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t887) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t874 @t886)))) % 1.12/1.33 (assume @p775 (forall @t69 (= @t889 @t888))) % 1.12/1.33 (assume @p776 (forall @t69 (= @t888 @t889))) % 1.12/1.33 (assume @p777 (forall @t231 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t874) @t66))) % 1.12/1.33 (assume @p778 (forall @t193 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t866 @t188) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t191 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t189 @t188))))) % 1.12/1.33 (assume @p779 (forall @t82 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t19 @t66)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t66))))) % 1.12/1.33 (assume @p780 (forall @t69 (= @t887 @t856))) % 1.12/1.33 (assume @p781 (forall @t69 (=> @t891 (=> @t890 @t74)))) % 1.12/1.33 (assume @p782 (forall @t73 (=> @t892 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t72 @t70) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t71 @t70))))) % 1.12/1.33 (assume @p783 (forall @t69 (or @t891 @t890))) % 1.12/1.33 (assume @p784 (forall @t65 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t64 @t64))) % 1.12/1.33 (assume @p785 (forall @t73 (=> @t892 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t70 @t71) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t70 @t72))))) % 1.12/1.33 (assume @p786 (forall @t895 (=> @t894 (=> @t893 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t18 @t85) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t851 @t349)))))) % 1.12/1.33 (assume @p787 (forall @t895 (=> @t894 (=> @t893 (=> @t896 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t349 @t851)))))) % 1.12/1.33 (assume @p788 (forall @t903 (=> @t902 (=> @t900 (=> @t898 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t897)))))) % 1.12/1.33 (assume @p789 (forall @t903 (=> @t905 (=> @t904 (=> @t898 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t897 @t811)))))) % 1.12/1.33 (assume @p790 (forall @t911 (=> @t910 (=> @t904 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t899 @t84) (=> @t907 @t906)))))) % 1.12/1.33 (assume @p791 (forall @t915 (=> @t914 (=> @t902 (=> @t900 (=> @t896 (=> @t898 (=> @t913 @t912)))))))) % 1.12/1.33 (assume @p792 (forall @t911 (=> @t910 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t18 @t811) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t18) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t899) @t912)))))) % 1.12/1.33 (assume @p793 (forall @t915 (=> @t914 (=> @t905 (=> @t907 (=> @t904 (=> @t898 (=> @t913 @t906)))))))) % 1.12/1.33 (assume @p794 (forall @t738 (=> @t916 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 (tptp.hAPP @t813 @t257))))) % 1.12/1.33 (assume @p795 (forall @t808 (= @t807 (or @t653 @t804)))) % 1.12/1.33 (assume @p796 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t811)) % 1.12/1.33 (assume @p797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t851)) % 1.12/1.33 (assume @p798 (forall @t267 (=> @t916 (=> @t917 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t19)))))) % 1.12/1.33 (assume @p799 (forall @t267 (=> @t916 (=> @t917 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 (tptp.hAPP (tptp.hAPP @t815 @t13) @t19)))))) % 1.12/1.33 (assume @p800 (forall @t921 (and @t920 (=> (not @t919) (= @t918 @t811))))) % 1.12/1.33 (assume @p801 (forall (@list @t764 @t922 @t20) (=> @t27 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t922) (=> (forall @t544 @t923) @t779))))) % 1.12/1.33 (assume @p802 (forall @t267 (=> @t916 (=> @t917 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t918))))) % 1.12/1.33 (assume @p803 (forall @t921 @t920)) % 1.12/1.33 (assume @p804 (forall @t774 (=> @t27 (=> @t779 @t778)))) % 1.12/1.33 (assume @p805 (forall @t929 (=> @t928 (=> (forall @t6 (=> @t926 (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t424))))) (=> @t927 (forall @t6 (=> @t926 (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t925)))))))))) % 1.12/1.33 (assume @p806 (forall @t929 (=> @t928 (=> (forall @t6 (=> @t926 (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t424))))) (=> @t927 (forall @t6 (=> @t926 (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t925)))))))))) % 1.12/1.33 (assume @p807 (forall @t930 (=> @t480 (=> @t645 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t3) (= (tptp.hAPP (tptp.hAPP @t775 @t3) @t257) @t85) (forall @t751 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t749) (= (tptp.hAPP (tptp.hAPP @t775 @t749) @t257) @t85)) (= @t749 @t3))))))))) % 1.12/1.33 (assume @p808 (forall @t930 (=> @t480 (=> @t645 (exists (@list @t931) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t931) (= (tptp.hAPP (tptp.hAPP @t775 @t931) @t257) @t85))))))) % 1.12/1.33 (assume @p809 (forall @t738 (=> @t266 (= (tptp.c_Transcendental_Oln @t818) (tptp.hAPP @t776 @t932))))) % 1.12/1.33 (assume @p810 (= (tptp.c_Transcendental_Oln @t15) @t8)) % 1.12/1.33 (assume @p811 (forall @t16 (=> @t266 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t932 @t13)))) % 1.12/1.33 (assume @p812 (forall @t60 (=> @t936 (=> @t935 (= (= @t934 @t933) @t75))))) % 1.12/1.33 (assume @p813 (forall @t60 (=> @t936 (=> @t935 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t934 @t933) @t76))))) % 1.12/1.33 (assume @p814 (forall @t60 (=> @t936 (=> @t935 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t934 @t933) @t77))))) % 1.12/1.33 (assume @p815 (forall @t16 (=> @t938 @t937))) % 1.12/1.33 (assume @p816 (forall @t16 (=> @t940 @t939))) % 1.12/1.33 (assume @p817 (forall @t63 (=> @t936 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t934) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t35))))) % 1.12/1.33 (assume @p818 (forall @t63 (=> @t936 (= (= @t934 @t8) (= @t35 @t15))))) % 1.12/1.33 (assume @p819 (forall @t63 (=> @t936 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t934 @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t15))))) % 1.12/1.33 (assume @p820 (forall @t16 (=> @t266 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 @t15) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t932 @t8))))) % 1.12/1.33 (assume @p821 (forall @t16 (=> @t939 (=> @t266 @t940)))) % 1.12/1.33 (assume @p822 (forall @t63 (=> @t936 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t934) @t713)))) % 1.12/1.33 (assume @p823 (forall @t16 (=> @t937 (=> @t266 @t938)))) % 1.12/1.33 (assume @p824 (forall @t267 (=> @t266 (=> @t265 (= (tptp.c_Transcendental_Oln @t264) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t932 (tptp.c_Transcendental_Oln @t19))))))) % 1.12/1.33 (assume @p825 (forall @t16 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t13)) @t13)))) % 1.12/1.33 (assume @p826 (forall @t774 (=> @t371 (= (tptp.c_SEQ_Oincseq @t20 @t764) (forall @t773 (=> @t772 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t771 @t766))))))) % 1.12/1.33 (assume @p827 (forall (@list @t486 @t2 @t473) (=> (forall @t758 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t756 @t473) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint (tptp.hAPP @t2 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t756 @t604)) @t941)) @t851))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t2 @t438) @t486) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t486 (tptp.hAPP @t2 @t473)) (exists @t758 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t756 @t473) (= @t941 @t486)))))))) % 1.12/1.33 (assume @p828 (forall (@list @t922 @t764 @t942 @t20) (=> @t27 (=> (forall @t544 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t942 @t543) @t923)) @t779)))) % 1.12/1.33 (assume @p829 (forall @t945 (=> @t769 (= @t944 (exists @t849 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t767 @t943))))))) % 1.12/1.33 (assume @p830 (forall @t945 (=> @t769 (= @t944 (exists @t849 (forall @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t767 @t943))))))) % 1.12/1.33 (assume @p831 (forall @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t946))) % 1.12/1.33 (assume @p832 (forall @t483 (=> @t485 @t948))) % 1.12/1.33 (assume @p833 (forall @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t946))) % 1.12/1.33 (assume @p834 (forall @t16 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t950) (or (= @t13 @t438) (= @t13 @t949))))) % 1.12/1.33 (assume @p835 (forall @t495 (= @t475 (exists @t588 (= @t473 (tptp.c_Nat_OSuc @t587)))))) % 1.12/1.33 (assume @p836 (forall @t951 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t71))))) % 1.12/1.33 (assume @p837 (forall @t951 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t258))))) % 1.12/1.33 (assume @p838 (forall @t483 (=> @t952 @t485))) % 1.12/1.33 (assume @p839 (forall @t495 (=> @t494 @t955))) % 1.12/1.33 (assume @p840 (forall @t483 (=> @t485 @t952))) % 1.12/1.33 (assume @p841 (forall @t483 (=> @t484 @t956))) % 1.12/1.33 (assume @p842 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t953 @t473) @t475))) % 1.12/1.33 (assume @p843 (forall @t495 (= @t958 @t494))) % 1.12/1.33 (assume @p844 (forall @t476 (= @t503 @t959))) % 1.12/1.33 (assume @p845 (= @t604 @t949)) % 1.12/1.33 (assume @p846 (forall @t483 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t478 @t947))) % 1.12/1.33 (assume @p847 (forall @t483 (= (tptp.hAPP @t559 @t946) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t258 @t606)))) % 1.12/1.33 (assume @p848 (forall @t483 (= (tptp.hAPP (tptp.hAPP @t558 @t947) @t257) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t257 @t606)))) % 1.12/1.33 (assume @p849 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t962 @t961) @t494))) % 1.12/1.33 (assume @p850 (forall @t495 (= (= @t949 @t676) @t965))) % 1.12/1.33 (assume @p851 (forall @t495 (= (= @t676 @t949) @t965))) % 1.12/1.33 (assume @p852 (forall @t450 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t946 @t604) @t257))) % 1.12/1.33 (assume @p853 (forall @t483 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t946) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t605 @t257)))) % 1.12/1.33 (assume @p854 (forall @t690 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t966 (tptp.c_Nat_OSuc @t70)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t478 @t70)))) % 1.12/1.33 (assume @p855 (forall @t483 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t947 @t946) @t478))) % 1.12/1.33 (assume @p856 (forall @t483 (= @t968 @t967))) % 1.12/1.33 (assume @p857 (forall @t483 (= @t969 @t967))) % 1.12/1.33 (assume @p858 (forall @t483 (= @t969 @t968))) % 1.12/1.33 (assume @p859 (forall @t450 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t946 @t257)))) % 1.12/1.33 (assume @p860 (forall @t495 (= (not @t494) @t959))) % 1.12/1.33 (assume @p861 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t957) (or @t494 (= @t474 @t957))))) % 1.12/1.33 (assume @p862 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t957 @t953) @t728))) % 1.12/1.33 (assume @p863 (forall @t483 (=> @t484 @t970))) % 1.12/1.33 (assume @p864 (forall @t483 (=> @t970 (=> (not @t484) (= @t258 @t946))))) % 1.12/1.33 (assume @p865 (forall @t483 (=> @t952 @t484))) % 1.12/1.33 (assume @p866 (forall @t450 (= @t946 @t720))) % 1.12/1.33 (assume @p867 (forall @t450 (= @t946 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t604 @t257)))) % 1.12/1.33 (assume @p868 (forall @t471 (=> @t561 (= @t966 (tptp.c_Nat_OSuc @t478))))) % 1.12/1.33 (assume @p869 (forall @t267 (=> (= (tptp.c_Nat_OSuc @t13) (tptp.c_Nat_OSuc @t19)) @t185))) % 1.12/1.33 (assume @p870 (forall (@list @t971 @t972) (= (= (tptp.c_Nat_OSuc @t972) (tptp.c_Nat_OSuc @t971)) (= @t972 @t971)))) % 1.12/1.33 (assume @p871 (forall @t450 (not (= @t946 @t257)))) % 1.12/1.33 (assume @p872 (forall @t450 (not (= @t257 @t946)))) % 1.12/1.33 (assume @p873 (forall @t491 (= (= @t962 @t961) @t496))) % 1.12/1.33 (assume @p874 (forall @t477 (not (= @t947 @t438)))) % 1.12/1.33 (assume @p875 (forall @t477 (not (= @t438 @t947)))) % 1.12/1.33 (assume @p876 (forall (@list @t973) (not (= (tptp.c_Nat_OSuc @t973) @t438)))) % 1.12/1.33 (assume @p877 (forall (@list @t974) (not (= @t438 (tptp.c_Nat_OSuc @t974))))) % 1.12/1.33 (assume @p878 (forall @t495 (= (not @t475) @t954))) % 1.12/1.33 (assume @p879 (forall @t495 (= @t958 @t497))) % 1.12/1.33 (assume @p880 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t953 @t957) @t475))) % 1.12/1.33 (assume @p881 (forall @t476 (=> (not @t503) @t955))) % 1.12/1.33 (assume @p882 (forall @t471 (=> (not @t510) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t947) @t481)))) % 1.12/1.33 (assume @p883 (forall @t483 (=> @t485 @t956))) % 1.12/1.33 (assume @p884 (forall @t483 (=> @t485 (=> (not (= @t947 @t257)) @t975)))) % 1.12/1.33 (assume @p885 (forall @t73 (=> @t517 (=> @t508 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t976 @t70))))) % 1.12/1.33 (assume @p886 (forall @t483 (=> @t956 (=> @t524 @t481)))) % 1.12/1.33 (assume @p887 (forall @t483 (=> @t975 @t485))) % 1.12/1.33 (assume @p888 (forall @t483 (=> @t948 @t485))) % 1.12/1.33 (assume @p889 (forall @t495 (= @t958 (or @t671 (exists @t978 (and (= @t474 (tptp.c_Nat_OSuc @t977)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t977 @t473))))))) % 1.12/1.33 (assume @p890 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t473 @t949) @t653))) % 1.12/1.33 (assume @p891 (forall @t654 (= @t673 (exists @t295 (= @t473 (tptp.c_Nat_OSuc @t293)))))) % 1.12/1.33 (assume @p892 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t962 @t961) @t475))) % 1.12/1.33 (assume @p893 (forall @t495 (= (= @t672 @t949) (and @t964 @t963)))) % 1.12/1.33 (assume @p894 (forall (@list @t473 @t122 @t882 @t881 @t20) (= (tptp.hAPP @t883 @t957) (tptp.hAPP (tptp.hAPP @t882 @t122) (tptp.hAPP @t883 @t473))))) % 1.12/1.33 (assume @p895 (forall @t980 (=> @t340 (= (tptp.hAPP @t790 @t13) @t979)))) % 1.12/1.33 (assume @p896 (forall @t980 (=> @t340 (= @t981 @t979)))) % 1.12/1.33 (assume @p897 (forall @t980 (=> @t340 (= @t979 @t981)))) % 1.12/1.33 (assume @p898 (forall @t803 (=> @t795 (= @t982 @t822)))) % 1.12/1.33 (assume @p899 (forall @t803 (=> @t331 (= @t982 @t823)))) % 1.12/1.33 (assume @p900 (forall @t455 (=> @t835 (= (tptp.hAPP @t833 @t946) @t34)))) % 1.12/1.33 (assume @p901 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t805 @t949) @t257) @t949))) % 1.12/1.33 (assume @p902 (forall (@list @t474 @t35) (= (= (tptp.hAPP @t806 @t474) @t949) (or @t671 (= @t35 @t949))))) % 1.12/1.33 (assume @p903 (forall @t832 (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t982 @t983) (=> @t89 @t105))))) % 1.12/1.33 (assume @p904 (forall @t832 (=> @t42 (=> (= @t982 @t983) (=> @t92 (=> @t89 @t344)))))) % 1.12/1.33 (assume @p905 (forall @t803 (=> @t42 (=> @t802 (tptp.c_Orderings_Oord__class_Oless @t20 @t40 @t982))))) % 1.12/1.33 (assume @p906 (forall @t55 (=> @t415 (= (= (tptp.hAPP (tptp.hAPP @t781 @t35) @t950) (tptp.hAPP (tptp.hAPP @t781 @t49) @t950)) (or @t75 (= @t35 @t742)))))) % 1.12/1.33 (assume @p907 (forall @t471 (=> @t985 (=> @t984 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t949 @t606))))) % 1.12/1.33 (assume @p908 (forall @t471 (=> @t985 (=> @t984 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t699))))) % 1.12/1.33 (assume @p909 (forall @t471 (=> @t985 (=> @t984 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t257 @t606))))) % 1.12/1.33 (assume @p910 (forall (@list @t71 @t257) (=> @t480 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t976) @t257)))) % 1.12/1.33 (assume @p911 (forall @t450 (=> @t480 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t949)) @t257)))) % 1.12/1.33 (assume @p912 (forall @t495 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t672) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t474) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t473))))) % 1.12/1.33 (assume @p913 (forall @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t986))) % 1.12/1.33 (assume @p914 (forall @t989 (=> @t580 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t988) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t574 @t987))))) % 1.12/1.33 (assume @p915 (forall @t989 (=> @t580 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t988 @t258) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t987 @t693))))) % 1.12/1.33 (assume @p916 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t949) @t15)) % 1.12/1.33 (assume @p917 (forall @t450 (= @t986 @t722))) % 1.12/1.33 (assume @p918 (forall @t570 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t71) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t810)))) % 1.12/1.33 (assume @p919 (forall (@list @t257 @t18 @t20) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t34 @t18) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t18 @t40) (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.hAPP (tptp.hAPP @t781 @t18) @t946) @t18)))))) % 1.12/1.33 (assume @p920 (forall @t803 (=> @t42 (=> @t145 (=> @t846 (tptp.c_Orderings_Oord__class_Oless @t20 @t982 @t40)))))) % 1.12/1.33 (assume @p921 (forall (@list @t19 @t257 @t351 @t20) (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t257) (= (tptp.hAPP @t789 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t946 @t351)) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t789 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t257 @t351))) @t19)))))) % 1.12/1.33 (assume @p922 (forall @t450 (=> @t480 (= @t257 @t990)))) % 1.12/1.33 (assume @p923 (forall @t450 (=> @t480 (= @t990 @t257)))) % 1.12/1.33 (assume @p924 (forall @t483 (and (=> @t607 (= @t591 @t257)) (=> @t608 (= @t591 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t605 @t257))))))) % 1.12/1.33 (assume @p925 (forall @t774 (=> @t27 (= @t779 (exists @t849 (forall @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t777 @t943))))))) % 1.12/1.33 (assume @p926 (forall @t774 (=> @t27 (= @t779 (exists @t849 (forall @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t777 @t943))))))) % 1.12/1.33 (assume @p927 (forall @t48 (=> @t538 (= (tptp.c_Groups_Ominus__class_Ominus @t20 (tptp.hAPP @t782 @t950) (tptp.hAPP @t789 @t950)) (tptp.hAPP @t596 @t21))))) % 1.12/1.33 (assume @p928 (forall @t921 (=> @t265 (=> @t708 (exists @t544 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t770 @t19) @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t13 (tptp.hAPP (tptp.hAPP @t10 @t991) @t19)))))))) % 1.12/1.33 (assume @p929 (forall (@list @t70 @t258) (=> @t479 (=> @t872 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t992 @t258) @t70) (tptp.hAPP @t992 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t258 @t949))))))) % 1.12/1.33 (assume @p930 (forall @t267 (=> @t916 (=> @t917 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t19)))))) % 1.12/1.33 (assume @p931 (forall @t130 (=> @t993 (=> @t200 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t85 @t85) @t40))))) % 1.12/1.33 (assume @p932 (forall @t647 (=> (not (= @t85 @t811)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 @t85) @t851)))) % 1.12/1.33 (assume @p933 (forall @t717 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t996 @t995) @t994))) % 1.12/1.33 (assume @p934 (forall @t717 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 @t995) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t996 @t84)))) % 1.12/1.33 (assume @p935 (forall @t130 (=> @t993 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t85 @t40) @t85)))) % 1.12/1.33 (assume @p936 (forall @t1000 (=> @t999 (= @t998 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t122 @t811))))) % 1.12/1.33 (assume @p937 (forall @t1000 (=> @t1001 (= @t998 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t122))))) % 1.12/1.33 (assume @p938 (forall @t717 (=> @t1003 (=> @t1002 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t994 @t811))))) % 1.12/1.33 (assume @p939 (forall @t134 (=> @t993 @t1008))) % 1.12/1.33 (assume @p940 (forall @t134 (=> @t993 (=> @t1007 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t101 @t115) @t1004))))) % 1.12/1.33 (assume @p941 (forall @t244 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t119 @t84) @t85))))) % 1.12/1.33 (assume @p942 (forall @t244 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t87 @t84) @t85))))) % 1.12/1.33 (assume @p943 (forall @t134 (=> @t993 (and (=> @t1006 (= @t1005 @t34)) @t1008)))) % 1.12/1.33 (assume @p944 (forall (@list @t84) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t811 @t84) @t811))) % 1.12/1.33 (assume @p945 (forall @t130 (=> @t993 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t85 @t34) @t34)))) % 1.12/1.33 (assume @p946 (forall @t130 (=> @t993 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t34 @t85) @t34)))) % 1.12/1.33 (assume @p947 (forall (@list @t486 @t528) (= (= @t1010 @t811) (or @t1009 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t528) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t528 @t486)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t528 @t811) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t528)))))) % 1.12/1.33 (assume @p948 (forall @t1000 (=> @t999 (= @t1012 @t1011)))) % 1.12/1.33 (assume @p949 (forall (@list @t528 @t486) (=> @t1013 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t1010) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t486 @t528))))) % 1.12/1.33 (assume @p950 (forall (@list @t120 @t122) (=> @t1011 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t997) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t120 @t122) @t999))))) % 1.12/1.33 (assume @p951 (forall @t1016 (=> @t1015 (=> @t898 (=> @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t994 @t1014)))))) % 1.12/1.33 (assume @p952 (forall @t717 (=> @t1015 (=> @t1018 @t1017)))) % 1.12/1.33 (assume @p953 (forall @t717 (=> @t1015 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t85 @t84) @t1019)))) % 1.12/1.33 (assume @p954 (forall @t1000 (=> @t1001 (= @t1012 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t122 @t811))))) % 1.12/1.33 (assume @p955 (forall @t717 (=> @t1020 (=> @t1002 @t1017)))) % 1.12/1.33 (assume @p956 (forall @t1016 (=> @t1003 (=> @t898 (=> @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1014 @t994)))))) % 1.12/1.33 (assume @p957 (forall @t717 (=> @t1020 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 @t85) @t1019)))) % 1.12/1.33 (assume @p958 (forall @t1023 (=> @t1022 (=> @t1002 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t994 @t1021))))) % 1.12/1.33 (assume @p959 (forall @t1023 (=> @t1022 (=> @t1018 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1021 @t994))))) % 1.12/1.33 (assume @p960 (forall (@list @t70 @t13) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t13) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t851 @t70) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t70) @t13))))) % 1.12/1.33 (assume @p961 (forall (@list @t84 @t85 @t100) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t811 @t100) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 (tptp.hAPP @t908 @t100)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t994 @t100))))) % 1.12/1.33 (assume @p962 (forall @t114 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t109) @t84) @t1024))))) % 1.12/1.33 (assume @p963 (forall @t114 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 (tptp.c_Groups_Oplus__class_Oplus @t20 @t85 @t115) @t84) @t1024))))) % 1.12/1.33 (assume @p964 (forall @t244 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t309 @t84) @t1025))))) % 1.12/1.33 (assume @p965 (forall @t244 (=> @t993 (=> @t199 (= (tptp.c_Divides_Odiv__class_Odiv @t20 @t209 @t84) @t1025))))) % 1.12/1.33 (assume @p966 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t473 @t486))) (and (=> @t1009 (tptp.hBOOL (tptp.hAPP @t461 @t811))) (=> @t1013 (forall @t758 (=> (exists @t978 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t977) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t977 @t486) @t1026)) @t757))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t811) (forall @t758 (=> (exists @t978 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t977) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t977 @t811) @t1026)) @t757))))))) % 1.12/1.33 (assume @p967 (forall (@list @t1030 @t19 @t1028 @t1029) (=> (= @t1029 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t815 @t1028) @t19) @t1030)) (=> (and (=> @t1031 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t811 @t1030) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1030 @t1028))) (=> (not @t1031) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1028 @t1030) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1030 @t811)))) (=> (not (= @t1028 @t811)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1029 @t1028) @t19)))))) % 1.12/1.33 (assume @p968 (forall (@list @t70 @t504) (and (=> @t1033 (= @t1032 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t70 @t504))) (=> (not @t1033) (= @t1032 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t70 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t504)))))))) % 1.12/1.33 (assume @p969 (forall @t80 (=> @t741 (exists @t544 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t740 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 @t991)))))) % 1.12/1.33 (assume @p970 (forall @t477 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t258 @t949) @t258))) % 1.12/1.33 (assume @p971 (forall @t483 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1034 @t258))) % 1.12/1.33 (assume @p972 (forall @t690 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t258 @t70) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t257 @t70))))) % 1.12/1.33 (assume @p973 (forall @t492 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t85 (tptp.hAPP (tptp.hAPP @t558 @t84) @t100)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t85 @t84) @t100)))) % 1.12/1.33 (assume @p974 (forall @t483 @t1035)) % 1.12/1.33 (assume @p975 (forall @t573 (and (=> @t1038 (= @t1036 @t438)) (=> (not @t1038) @t1037)))) % 1.12/1.33 (assume @p976 (forall @t378 (=> @t1040 (= (tptp.c_Divides_Odiv__class_Odiv @t347 @t13 (tptp.hAPP (tptp.hAPP @t359 @t19) @t66)) (tptp.c_Divides_Odiv__class_Odiv @t347 @t1039 @t66))))) % 1.12/1.33 (assume @p977 (forall @t48 (=> @t1040 (= (tptp.c_Divides_Odiv__class_Odiv @t347 @t613 @t19) @t1041)))) % 1.12/1.33 (assume @p978 (forall @t48 (=> @t1040 (= (tptp.c_Divides_Odiv__class_Odiv @t347 @t13 (tptp.c_Groups_Ouminus__class_Ouminus @t347 @t19)) @t1041)))) % 1.12/1.33 (assume @p979 (forall @t690 (=> @t479 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t70 @t257) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t70 @t258)))))) % 1.12/1.33 (assume @p980 (forall @t573 (=> @t665 @t1037))) % 1.12/1.33 (assume @p981 (forall @t471 (=> @t480 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t606 @t257) @t258)))) % 1.12/1.33 (assume @p982 (forall @t471 (=> @t480 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t699 @t257) @t258)))) % 1.12/1.33 (assume @p983 (forall @t471 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t604 @t257) (=> @t479 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1034 @t258))))) % 1.12/1.33 (assume @p984 (forall @t471 (=> @t480 (and @t1035 @t1042)))) % 1.12/1.33 (assume @p985 (forall @t471 (=> @t480 @t1042))) % 1.12/1.33 (assume @p986 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP @t461 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t473 @t486))) (and (=> @t666 @t465) (=> (not @t666) (forall (@list @t756 @t977) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t977 @t486) (=> (= @t473 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t657 @t756) @t977)) @t757)))))))) % 1.12/1.33 (assume @p987 (forall @t1046 (=> @t1045 (tptp.class_Groups_Ocancel__comm__monoid__add @t1044)))) % 1.12/1.33 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p992 (forall @t1049 (=> (tptp.class_Lattices_Oboolean__algebra @t1043) (tptp.class_Lattices_Oboolean__algebra @t1048)))) % 1.12/1.33 (assume @p993 (forall @t1049 (=> (tptp.class_Orderings_Opreorder @t1043) (tptp.class_Orderings_Opreorder @t1048)))) % 1.12/1.33 (assume @p994 (forall @t1049 (=> (tptp.class_Orderings_Oorder @t1043) (tptp.class_Orderings_Oorder @t1048)))) % 1.12/1.33 (assume @p995 (forall @t1049 (=> (tptp.class_Orderings_Oord @t1043) (tptp.class_Orderings_Oord @t1048)))) % 1.12/1.33 (assume @p996 (forall @t1049 (=> (tptp.class_Groups_Ouminus @t1043) (tptp.class_Groups_Ouminus @t1048)))) % 1.12/1.33 (assume @p997 (forall @t1049 (=> (tptp.class_Groups_Ominus @t1043) (tptp.class_Groups_Ominus @t1048)))) % 1.12/1.33 (assume @p998 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p999 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1000 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1001 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1002 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1003 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1004 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1005 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1006 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1007 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1008 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1009 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1010 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1011 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1012 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1013 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1014 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1015 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1016 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1017 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1018 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1019 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1020 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1021 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1022 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1023 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1024 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1025 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1026 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1027 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1028 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1029 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1030 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1031 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1032 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1033 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1034 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1035 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1036 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1037 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1038 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1039 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1040 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1041 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1042 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1043 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1044 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1045 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1046 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1047 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1048 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1049 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1050 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1051 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1052 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1053 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1054 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1055 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1056 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1057 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1058 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1059 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1060 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1061 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1062 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1063 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1064 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1065 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1066 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1067 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1068 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1069 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1070 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1071 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1072 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1073 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1074 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1075 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1076 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1077 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1078 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1079 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1080 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1081 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1082 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1083 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1084 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1085 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1086 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1087 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1089 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1090 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1091 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1092 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1093 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1094 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1095 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1096 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1097 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1098 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1099 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1100 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.12/1.33 (assume @p1101 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1102 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1103 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1104 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1105 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1106 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1107 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1109 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1110 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1111 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1113 @t1050) % 1.12/1.33 (assume @p1114 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1115 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1116 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1117 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1118 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1119 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1120 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1121 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1122 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1123 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1124 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1125 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1126 @t1051) % 1.12/1.33 (assume @p1127 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1128 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1129 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1130 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1131 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1132 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1133 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1134 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1135 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1136 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1137 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1138 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1139 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1140 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1141 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1142 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1143 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1144 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1145 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1146 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1147 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1148 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1149 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1150 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1151 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1152 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1153 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1154 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1155 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1156 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1157 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1158 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1159 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1160 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1161 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1162 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1163 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1164 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1165 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1166 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1167 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1168 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1169 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1170 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1171 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1172 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1173 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1174 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1175 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1176 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1177 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1178 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1179 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1180 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1181 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1182 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1183 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1184 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1185 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1186 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1187 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1188 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1189 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1190 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1191 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1192 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1193 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1194 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1195 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1196 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1197 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1198 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1199 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1200 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1201 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1202 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1203 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1204 (forall @t1046 (=> @t1052 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1044)))) % 1.12/1.33 (assume @p1205 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1044)))) % 1.12/1.33 (assume @p1206 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1044)))) % 1.12/1.33 (assume @p1207 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1044)))) % 1.12/1.33 (assume @p1208 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__semiring__1__strict @t1044)))) % 1.12/1.33 (assume @p1209 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__semiring__strict @t1044)))) % 1.12/1.33 (assume @p1210 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__ab__semigroup__add @t1044)))) % 1.12/1.33 (assume @p1211 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__ab__group__add__abs @t1044)))) % 1.12/1.33 (assume @p1212 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__comm__monoid__add @t1044)))) % 1.12/1.33 (assume @p1213 (forall @t1046 (=> @t1053 (tptp.class_Groups_Olinordered__ab__group__add @t1044)))) % 1.12/1.33 (assume @p1214 (forall @t1046 (=> @t1045 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1044)))) % 1.12/1.33 (assume @p1215 (forall @t1046 (=> @t1052 (tptp.class_Rings_Oring__1__no__zero__divisors @t1044)))) % 1.12/1.33 (assume @p1216 (forall @t1046 (=> @t1053 (tptp.class_Rings_Oordered__cancel__semiring @t1044)))) % 1.12/1.33 (assume @p1217 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__ring__strict @t1044)))) % 1.12/1.33 (assume @p1218 (forall @t1046 (=> @t1052 (tptp.class_Rings_Oring__no__zero__divisors @t1044)))) % 1.12/1.33 (assume @p1219 (forall @t1046 (=> @t1053 (tptp.class_Rings_Oordered__comm__semiring @t1044)))) % 1.12/1.33 (assume @p1220 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__semiring__1 @t1044)))) % 1.12/1.33 (assume @p1221 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oordered__ab__group__add @t1044)))) % 1.12/1.33 (assume @p1222 (forall @t1046 (=> @t1045 (tptp.class_Groups_Ocancel__semigroup__add @t1044)))) % 1.12/1.33 (assume @p1223 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__semiring @t1044)))) % 1.12/1.33 (assume @p1224 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__semidom @t1044)))) % 1.12/1.33 (assume @p1225 (forall @t1046 (=> @t1054 (tptp.class_Groups_Oab__semigroup__mult @t1044)))) % 1.12/1.33 (assume @p1226 (forall @t1046 (=> @t1055 (tptp.class_Groups_Ocomm__monoid__mult @t1044)))) % 1.12/1.33 (assume @p1227 (forall @t1046 (=> @t1056 (tptp.class_Groups_Oab__semigroup__add @t1044)))) % 1.12/1.33 (assume @p1228 (forall @t1046 (=> @t1053 (tptp.class_Rings_Oordered__semiring @t1044)))) % 1.12/1.33 (assume @p1229 (forall @t1046 (=> @t1053 (tptp.class_Rings_Oordered__ring__abs @t1044)))) % 1.12/1.33 (assume @p1230 (forall @t1046 (=> @t1052 (tptp.class_Rings_Ono__zero__divisors @t1044)))) % 1.12/1.33 (assume @p1231 (forall @t1046 (=> @t1056 (tptp.class_Groups_Ocomm__monoid__add @t1044)))) % 1.12/1.33 (assume @p1232 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__ring @t1044)))) % 1.12/1.33 (assume @p1233 (forall @t1046 (=> @t1053 (tptp.class_Rings_Olinordered__idom @t1044)))) % 1.12/1.33 (assume @p1234 (forall @t1046 (=> @t1055 (tptp.class_Rings_Ocomm__semiring__1 @t1044)))) % 1.12/1.33 (assume @p1235 (forall @t1046 (=> @t1054 (tptp.class_Rings_Ocomm__semiring__0 @t1044)))) % 1.12/1.33 (assume @p1236 (forall @t1046 (=> (tptp.class_Fields_Ofield @t1043) (tptp.class_Divides_Osemiring__div @t1044)))) % 1.12/1.33 (assume @p1237 (forall @t1046 (=> @t1054 (tptp.class_Rings_Ocomm__semiring @t1044)))) % 1.12/1.33 (assume @p1238 (forall @t1046 (=> @t1057 (tptp.class_Groups_Oab__group__add @t1044)))) % 1.12/1.33 (assume @p1239 (forall @t1046 (=> @t1055 (tptp.class_Rings_Ozero__neq__one @t1044)))) % 1.12/1.33 (assume @p1240 (forall @t1046 (=> @t1053 (tptp.class_Rings_Oordered__ring @t1044)))) % 1.12/1.33 (assume @p1241 (forall @t1046 (=> @t1053 (tptp.class_Orderings_Opreorder @t1044)))) % 1.12/1.33 (assume @p1242 (forall @t1046 (=> @t1053 (tptp.class_Orderings_Olinorder @t1044)))) % 1.12/1.33 (assume @p1243 (forall @t1046 (=> @t1055 (tptp.class_Groups_Omonoid__mult @t1044)))) % 1.12/1.33 (assume @p1244 (forall @t1046 (=> @t1058 (tptp.class_Rings_Ocomm__ring__1 @t1044)))) % 1.12/1.33 (assume @p1245 (forall @t1046 (=> @t1056 (tptp.class_Groups_Omonoid__add @t1044)))) % 1.12/1.33 (assume @p1246 (forall @t1046 (=> @t1054 (tptp.class_Rings_Osemiring__0 @t1044)))) % 1.12/1.33 (assume @p1247 (forall @t1046 (=> @t1057 (tptp.class_Groups_Ogroup__add @t1044)))) % 1.12/1.33 (assume @p1248 (forall @t1046 (=> @t1054 (tptp.class_Rings_Omult__zero @t1044)))) % 1.12/1.33 (assume @p1249 (forall @t1046 (=> @t1059 (tptp.class_Rings_Ocomm__ring @t1044)))) % 1.12/1.33 (assume @p1250 (forall @t1046 (=> @t1053 (tptp.class_Orderings_Oorder @t1044)))) % 1.12/1.33 (assume @p1251 (forall @t1046 (=> @t1053 (tptp.class_Int_Oring__char__0 @t1044)))) % 1.12/1.33 (assume @p1252 (forall @t1046 (=> @t1054 (tptp.class_Rings_Osemiring @t1044)))) % 1.12/1.33 (assume @p1253 (forall @t1046 (=> @t1053 (tptp.class_Orderings_Oord @t1044)))) % 1.12/1.33 (assume @p1254 (forall @t1046 (=> @t1057 (tptp.class_Groups_Ouminus @t1044)))) % 1.12/1.33 (assume @p1255 (forall @t1046 (=> @t1053 (tptp.class_Groups_Osgn__if @t1044)))) % 1.12/1.33 (assume @p1256 (forall @t1046 (=> @t1053 (tptp.class_Groups_Oabs__if @t1044)))) % 1.12/1.33 (assume @p1257 (forall @t1046 (=> @t1058 (tptp.class_Rings_Oring__1 @t1044)))) % 1.12/1.33 (assume @p1258 (forall @t1046 (=> @t1057 (tptp.class_Groups_Ominus @t1044)))) % 1.12/1.33 (assume @p1259 (forall @t1046 (=> @t1055 (tptp.class_Power_Opower @t1044)))) % 1.12/1.33 (assume @p1260 (forall @t1046 (=> (tptp.class_Groups_Ozero @t1043) (tptp.class_Groups_Ozero @t1044)))) % 1.12/1.33 (assume @p1261 (forall @t1046 (=> @t1059 (tptp.class_Rings_Oring @t1044)))) % 1.12/1.33 (assume @p1262 (forall @t1046 (=> @t1052 (tptp.class_Rings_Oidom @t1044)))) % 1.12/1.33 (assume @p1263 (forall @t1046 (=> @t1055 (tptp.class_Groups_Oone @t1044)))) % 1.12/1.33 (assume @p1264 (not @t1061)) % 1.12/1.33 (assume @p1265 true) % 1.12/1.33 (step @p1266 :rule aci_norm :args ((= (or @t1064 @t1065) (or @t1064 @t1063 @t1062 @t283)))) % 1.12/1.33 (step @p1267 :rule aci_norm :args ((= (or @t1063 (or @t1062 @t283)) @t1065))) % 1.12/1.33 (step @p1268 :rule bool-impl-elim :args (@t89 @t283)) % 1.12/1.33 (step @p1269 :rule refl :args (@t1063)) % 1.12/1.33 (step @p1270 :rule nary_cong :premises (@p1269 @p1268) :args ((or @t1063 @t285))) % 1.12/1.33 (step @p1271 :rule trans :premises (@p1270 @p1267)) % 1.12/1.33 (step @p1272 :rule bool-impl-elim :args (@t145 @t285)) % 1.12/1.33 (step @p1273 :rule trans :premises (@p1272 @p1271)) % 1.12/1.33 (step @p1274 :rule refl :args (@t1064)) % 1.12/1.33 (step @p1275 :rule nary_cong :premises (@p1274 @p1273) :args ((or @t1064 @t286))) % 1.12/1.33 (step @p1276 :rule trans :premises (@p1275 @p1266)) % 1.12/1.33 (step @p1277 :rule bool-impl-elim :args (@t278 @t286)) % 1.12/1.33 (step @p1278 :rule trans :premises (@p1277 @p1276)) % 1.12/1.33 (step @p1279 :rule cong :premises (@p1278) :args (@t287)) % 1.12/1.33 (step @p1280 :rule eq_resolve :premises (@p137 @p1279)) % 1.12/1.33 (step @p1281 :rule instantiate :premises (@p1280) :args ((@list @t7 @t15 tptp.tc_RealDef_Oreal))) % 1.12/1.33 (step @p1282 :rule bool-impl-elim :args (@t42 @t255)) % 1.12/1.33 (step @p1283 :rule cong :premises (@p1282) :args (@t256)) % 1.12/1.33 (step @p1284 :rule eq_resolve :premises (@p118 @p1283)) % 1.12/1.33 (step @p1285 :rule instantiate :premises (@p1284) :args ((@list tptp.tc_RealDef_Oreal))) % 1.12/1.33 (step @p1286 :rule cnf_or_pos :args (@t1068)) % 1.12/1.33 (step @p1287 :rule reordering :premises (@p1286) :args ((or @t1067 @t1066 (not @t1068)))) % 1.12/1.33 (step @p1288 :rule chain_m_resolution :premises (@p1287 @p1126 @p1285) :args (@t1066 (@list false false) (@list @t1051 @t1068))) % 1.12/1.33 (step @p1289 :rule aci_norm :args ((= (or @t1064 @t1070) (or @t1064 @t1063 @t1069 @t252)))) % 1.12/1.33 (step @p1290 :rule aci_norm :args ((= (or @t1063 (or @t1069 @t252)) @t1070))) % 1.12/1.33 (step @p1291 :rule bool-impl-elim :args (@t279 @t252)) % 1.12/1.33 (step @p1292 :rule nary_cong :premises (@p1269 @p1291) :args ((or @t1063 @t280))) % 1.12/1.33 (step @p1293 :rule trans :premises (@p1292 @p1290)) % 1.12/1.33 (step @p1294 :rule bool-impl-elim :args (@t145 @t280)) % 1.12/1.33 (step @p1295 :rule trans :premises (@p1294 @p1293)) % 1.12/1.33 (step @p1296 :rule nary_cong :premises (@p1274 @p1295) :args ((or @t1064 @t281))) % 1.12/1.33 (step @p1297 :rule trans :premises (@p1296 @p1289)) % 1.12/1.33 (step @p1298 :rule bool-impl-elim :args (@t278 @t281)) % 1.12/1.33 (step @p1299 :rule trans :premises (@p1298 @p1297)) % 1.12/1.33 (step @p1300 :rule cong :premises (@p1299) :args (@t282)) % 1.12/1.33 (step @p1301 :rule eq_resolve :premises (@p135 @p1300)) % 1.12/1.33 (step @p1302 :rule instantiate :premises (@p1301) :args ((@list @t11 @t8 @t1060 tptp.tc_RealDef_Oreal))) % 1.12/1.33 (step @p1303 :rule cnf_or_pos :args (@t1075)) % 1.12/1.33 (step @p1304 :rule reordering :premises (@p1303) :args ((or @t1061 @t1071 @t1074 @t1073 (not @t1075)))) % 1.12/1.33 (step @p1305 :rule chain_m_resolution :premises (@p1304 @p1264 @p3 @p1113 @p1302) :args (@t1073 (@list true false false false) (@list @t1061 @t12 @t1050 @t1075))) % 1.12/1.33 (step @p1306 :rule cnf_or_pos :args (@t1078)) % 1.12/1.33 (step @p1307 :rule reordering :premises (@p1306) :args ((or @t1076 @t1074 @t1072 @t1077 (not @t1078)))) % 1.12/1.33 (step @p1308 false :rule chain_m_resolution :premises (@p1307 @p1305 @p1288 @p1281 @p1113 @p2) :args (false (@list true false false false false) (@list @t1072 @t1066 @t1078 @t1050 @t9))) % 1.12/1.33 ) % 1.12/1.33 % SZS output end Proof % 1.12/1.33 % cvc5 exiting %------------------------------------------------------------------------------