%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW178+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 : n015.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 09:04:27 AM UTC 2026 % Result : Theorem 1.02s 1.29s % Output : Proof 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW178+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 21:37:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.46/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.29 % SZS status Theorem % 1.02/1.29 % SZS output start Proof % 1.02/1.29 ( % 1.02/1.29 (declare-sort $$unsorted 0) % 1.02/1.29 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RealVector_Odist__class_Odist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.v_z $$unsorted) % 1.02/1.29 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.02/1.29 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Odist__norm (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.v_w $$unsorted) % 1.02/1.29 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.02/1.29 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__vector (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.02/1.29 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_OIm (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Complex_ORe (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_RealVector_OscaleR__class_OscaleR (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_RealVector_Obounded__bilinear (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.02/1.29 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.02/1.29 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.02/1.29 (define @t3 () (@var "B_x" $$unsorted)) % 1.02/1.29 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.02/1.29 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.02/1.29 (define @t6 () (@list @t3)) % 1.02/1.29 (define @t7 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_z)) % 1.02/1.29 (define @t8 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_w tptp.v_z)) % 1.02/1.29 (define @t9 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t8)) % 1.02/1.29 (define @t10 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t8 @t7)) % 1.02/1.29 (define @t11 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10)) % 1.02/1.29 (define @t12 () (@var "V_y" $$unsorted)) % 1.02/1.29 (define @t13 () (@var "T_a" $$unsorted)) % 1.02/1.29 (define @t14 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t12)) % 1.02/1.29 (define @t15 () (@var "V_x" $$unsorted)) % 1.02/1.29 (define @t16 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t15)) % 1.02/1.29 (define @t17 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t15 @t12)) % 1.02/1.29 (define @t18 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t17)) % 1.02/1.29 (define @t19 () (tptp.class_RealVector_Oreal__normed__vector @t13)) % 1.02/1.29 (define @t20 () (@list @t12 @t15 @t13)) % 1.02/1.29 (define @t21 () (tptp.class_Orderings_Opreorder @t13)) % 1.02/1.29 (define @t22 () (@list @t15 @t13)) % 1.02/1.29 (define @t23 () (@var "V_z" $$unsorted)) % 1.02/1.29 (define @t24 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t12)) % 1.02/1.29 (define @t25 () (@list @t23 @t12 @t15)) % 1.02/1.29 (define @t26 () (@var "V_b_2" $$unsorted)) % 1.02/1.29 (define @t27 () (@var "V_a_2" $$unsorted)) % 1.02/1.29 (define @t28 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t27 @t26)) % 1.02/1.29 (define @t29 () (@var "V_c_2" $$unsorted)) % 1.02/1.29 (define @t30 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t26 @t29)) % 1.02/1.29 (define @t31 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t27 @t29)) % 1.02/1.29 (define @t32 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t13)) % 1.02/1.29 (define @t33 () (@list @t26 @t29 @t27 @t13)) % 1.02/1.29 (define @t34 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t29 @t26)) % 1.02/1.29 (define @t35 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t29 @t27)) % 1.02/1.29 (define @t36 () (@list @t26 @t27 @t29 @t13)) % 1.02/1.29 (define @t37 () (@var "V_c" $$unsorted)) % 1.02/1.29 (define @t38 () (@var "V_b" $$unsorted)) % 1.02/1.29 (define @t39 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t38 @t37)) % 1.02/1.29 (define @t40 () (@var "V_a" $$unsorted)) % 1.02/1.29 (define @t41 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t37)) % 1.02/1.29 (define @t42 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t41 @t39)) % 1.02/1.29 (define @t43 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t40 @t38)) % 1.02/1.29 (define @t44 () (tptp.class_Groups_Oordered__ab__semigroup__add @t13)) % 1.02/1.29 (define @t45 () (@list @t37 @t38 @t40 @t13)) % 1.02/1.29 (define @t46 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t37 @t38)) % 1.02/1.29 (define @t47 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t37 @t40)) % 1.02/1.29 (define @t48 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t47 @t46)) % 1.02/1.29 (define @t49 () (@var "V_d" $$unsorted)) % 1.02/1.29 (define @t50 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t38 @t49)) % 1.02/1.29 (define @t51 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t37 @t49)) % 1.02/1.29 (define @t52 () (@list @t49 @t37 @t38 @t40 @t13)) % 1.02/1.29 (define @t53 () (@list @t38 @t37 @t40 @t13)) % 1.02/1.29 (define @t54 () (@list @t38 @t40 @t37 @t13)) % 1.02/1.29 (define @t55 () (@var "V_w" $$unsorted)) % 1.02/1.29 (define @t56 () (@list @t55)) % 1.02/1.29 (define @t57 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t40)) % 1.02/1.29 (define @t58 () (tptp.class_Groups_Ogroup__add @t13)) % 1.02/1.29 (define @t59 () (@list @t40 @t13)) % 1.02/1.29 (define @t60 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t38 @t40)) % 1.02/1.29 (define @t61 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t38)) % 1.02/1.29 (define @t62 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t61)) % 1.02/1.29 (define @t63 () (tptp.class_Groups_Oab__group__add @t13)) % 1.02/1.29 (define @t64 () (@list @t38 @t40 @t13)) % 1.02/1.29 (define @t65 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t38)) % 1.02/1.29 (define @t66 () (= @t61 (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t65))) % 1.02/1.29 (define @t67 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t38)) % 1.02/1.29 (define @t68 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t27)) % 1.02/1.29 (define @t69 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t26)) % 1.02/1.29 (define @t70 () (= @t27 @t69)) % 1.02/1.29 (define @t71 () (@list @t26 @t27 @t13)) % 1.02/1.29 (define @t72 () (= @t27 @t26)) % 1.02/1.29 (define @t73 () (@var "V_d_2" $$unsorted)) % 1.02/1.29 (define @t74 () (= @t29 @t73)) % 1.02/1.29 (define @t75 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t27 @t26)) % 1.02/1.29 (define @t76 () (= @t75 (tptp.c_Groups_Ominus__class_Ominus @t13 @t29 @t73))) % 1.02/1.29 (define @t77 () (@list @t73 @t29 @t26 @t27 @t13)) % 1.02/1.29 (define @t78 () (tptp.class_Groups_Oordered__ab__group__add @t13)) % 1.02/1.29 (define @t79 () (@list @t27 @t26 @t13)) % 1.02/1.29 (define @t80 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t68 @t26)) % 1.02/1.29 (define @t81 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t67 @t38)) % 1.02/1.29 (define @t82 () (=> @t58 (= @t81 @t40))) % 1.02/1.29 (define @t83 () (forall @t64 @t82)) % 1.02/1.29 (define @t84 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t67)) % 1.02/1.29 (define @t85 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t61)) % 1.02/1.29 (define @t86 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t15)) % 1.02/1.29 (define @t87 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t38)) % 1.02/1.29 (define @t88 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t40)) % 1.02/1.29 (define @t89 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t88 @t87)) % 1.02/1.29 (define @t90 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t85 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t88 @t87))) % 1.02/1.29 (define @t91 () (forall @t64 (=> @t19 @t90))) % 1.02/1.29 (define @t92 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t38 @t49)) % 1.02/1.29 (define @t93 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t37)) % 1.02/1.29 (define @t94 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t37 @t49)) % 1.02/1.29 (define @t95 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t67 @t94)) % 1.02/1.29 (define @t96 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t12 @t15)) % 1.02/1.29 (define @t97 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t15 @t12)) % 1.02/1.29 (define @t98 () (tptp.class_Orderings_Olinorder @t13)) % 1.02/1.29 (define @t99 () (@var "V_x_2" $$unsorted)) % 1.02/1.29 (define @t100 () (@var "T_b" $$unsorted)) % 1.02/1.29 (define @t101 () (tptp.tc_fun @t13 @t100)) % 1.02/1.29 (define @t102 () (tptp.c_Orderings_Oord__class_Oless__eq @t101 @t2 @t1)) % 1.02/1.29 (define @t103 () (tptp.class_Orderings_Oord @t100)) % 1.02/1.29 (define @t104 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t23 @t12)) % 1.02/1.29 (define @t105 () (tptp.class_Orderings_Oorder @t13)) % 1.02/1.29 (define @t106 () (@list @t23 @t15 @t12 @t13)) % 1.02/1.29 (define @t107 () (= @t15 @t12)) % 1.02/1.29 (define @t108 () (@list @t15 @t12 @t13)) % 1.02/1.29 (define @t109 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t12 @t23)) % 1.02/1.29 (define @t110 () (@list @t23 @t12 @t15 @t13)) % 1.02/1.29 (define @t111 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t37 @t40)) % 1.02/1.29 (define @t112 () (= @t38 @t37)) % 1.02/1.29 (define @t113 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t38 @t40)) % 1.02/1.29 (define @t114 () (@list @t37 @t40 @t38 @t13)) % 1.02/1.29 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t40 @t37)) % 1.02/1.29 (define @t116 () (tptp.class_Orderings_Oord @t13)) % 1.02/1.29 (define @t117 () (= @t40 @t38)) % 1.02/1.29 (define @t118 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t38 @t37)) % 1.02/1.29 (define @t119 () (@var "V_y_2" $$unsorted)) % 1.02/1.29 (define @t120 () (= @t99 @t119)) % 1.02/1.29 (define @t121 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t99 @t119)) % 1.02/1.29 (define @t122 () (= @t121 @t120)) % 1.02/1.29 (define @t123 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t119 @t99)) % 1.02/1.29 (define @t124 () (@list @t99 @t119 @t13)) % 1.02/1.29 (define @t125 () (@list @t119 @t99 @t13)) % 1.02/1.29 (define @t126 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t100 @t5 @t4))) % 1.02/1.29 (define @t127 () (@list @t1 @t2 @t13 @t100)) % 1.02/1.29 (define @t128 () (tptp.class_Groups_Ocancel__semigroup__add @t13)) % 1.02/1.29 (define @t129 () (=> (= @t67 @t41) @t112)) % 1.02/1.29 (define @t130 () (= @t26 @t29)) % 1.02/1.29 (define @t131 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t26 @t27)) % 1.02/1.29 (define @t132 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t27 @t26)) % 1.02/1.29 (define @t133 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t67 @t37)) % 1.02/1.29 (define @t134 () (= @t133 (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t39))) % 1.02/1.29 (define @t135 () (= @t23 @t55)) % 1.02/1.29 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t23)) % 1.02/1.29 (define @t137 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t23 @t55)) % 1.02/1.29 (define @t138 () (@list @t55 @t23)) % 1.02/1.29 (define @t139 () (@var "V_k" $$unsorted)) % 1.02/1.29 (define @t140 () (@var "V_i" $$unsorted)) % 1.02/1.29 (define @t141 () (@var "V_j" $$unsorted)) % 1.02/1.29 (define @t142 () (@list @t139 @t141 @t140)) % 1.02/1.29 (define @t143 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t12)) % 1.02/1.29 (define @t144 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t15 @t12)) % 1.02/1.29 (define @t145 () (tptp.class_Rings_Ocomm__ring__1 @t13)) % 1.02/1.29 (define @t146 () (@list @t49 @t38 @t37 @t40 @t13)) % 1.02/1.29 (define @t147 () (tptp.class_Lattices_Oboolean__algebra @t13)) % 1.02/1.29 (define @t148 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t119)) % 1.02/1.29 (define @t149 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t99)) % 1.02/1.29 (define @t150 () (@var "V_A_2" $$unsorted)) % 1.02/1.29 (define @t151 () (tptp.hAPP @t150 @t99)) % 1.02/1.29 (define @t152 () (tptp.tc_fun @t100 @t13)) % 1.02/1.29 (define @t153 () (@var "V_B_2" $$unsorted)) % 1.02/1.29 (define @t154 () (tptp.class_Rings_Ocomm__semiring__1 @t13)) % 1.02/1.29 (define @t155 () (@var "V_r" $$unsorted)) % 1.02/1.29 (define @t156 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t155)) % 1.02/1.29 (define @t157 () (@list @t155)) % 1.02/1.29 (define @t158 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t40)) % 1.02/1.29 (define @t159 () (tptp.class_Groups_Oordered__ab__group__add__abs @t13)) % 1.02/1.30 (define @t160 () (@var "V_r_2" $$unsorted)) % 1.02/1.30 (define @t161 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t15)) % 1.02/1.30 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t12))) % 1.02/1.30 (define @t163 () (@list @t12 @t15)) % 1.02/1.30 (define @t164 () (@var "V_m" $$unsorted)) % 1.02/1.30 (define @t165 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t164)) % 1.02/1.30 (define @t166 () (@var "V_l" $$unsorted)) % 1.02/1.30 (define @t167 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t166)) % 1.02/1.30 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t12)) % 1.02/1.30 (define @t169 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t158 @t38)) % 1.02/1.30 (define @t170 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t38)) % 1.02/1.30 (define @t171 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t158 @t170)) % 1.02/1.30 (define @t172 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t60)) % 1.02/1.30 (define @t173 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t61)) % 1.02/1.30 (define @t174 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15)) % 1.02/1.30 (define @t175 () (@list @t15)) % 1.02/1.30 (define @t176 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t15 @t12)) % 1.02/1.30 (define @t177 () (forall @t163 (= @t176 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t15 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t12))))) % 1.02/1.30 (define @t178 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t158 @t170)) % 1.02/1.30 (define @t179 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t57 @t38)) % 1.02/1.30 (define @t180 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t27)) % 1.02/1.30 (define @t181 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t12)) % 1.02/1.30 (define @t182 () (@var "V_s" $$unsorted)) % 1.02/1.30 (define @t183 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t94)) % 1.02/1.30 (define @t184 () (@list @t49 @t37 @t40 @t13)) % 1.02/1.30 (define @t185 () (tptp.c_Complex_Orcis @t155 @t40)) % 1.02/1.30 (define @t186 () (= @t158 @t57)) % 1.02/1.30 (define @t187 () (tptp.c_Groups_Ozero__class_Ozero @t13)) % 1.02/1.30 (define @t188 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t40 @t187)) % 1.02/1.30 (define @t189 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t14 @t182)) % 1.02/1.30 (define @t190 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t155)) % 1.02/1.30 (define @t191 () (@list @t182 @t12 @t155 @t15 @t13)) % 1.02/1.30 (define @t192 () (tptp.c_Complex_OIm @t15)) % 1.02/1.30 (define @t193 () (tptp.c_Complex_ORe @t15)) % 1.02/1.30 (define @t194 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t12 @t38)) % 1.02/1.30 (define @t195 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t40)) % 1.02/1.30 (define @t196 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t38)) % 1.02/1.30 (define @t197 () (@list @t38 @t40 @t12 @t15 @t13)) % 1.02/1.30 (define @t198 () (tptp.c_Groups_Ominus__class_Ominus @t100 @t119 @t26)) % 1.02/1.30 (define @t199 () (@var "V_prod_2" $$unsorted)) % 1.02/1.30 (define @t200 () (tptp.hAPP @t199 @t27)) % 1.02/1.30 (define @t201 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t99 @t27)) % 1.02/1.30 (define @t202 () (tptp.hAPP @t199 @t201)) % 1.02/1.30 (define @t203 () (@var "T_c" $$unsorted)) % 1.02/1.30 (define @t204 () (tptp.hAPP @t200 @t26)) % 1.02/1.30 (define @t205 () (tptp.c_RealVector_Obounded__bilinear @t13 @t100 @t203 @t199)) % 1.02/1.30 (define @t206 () (tptp.class_RealVector_Oreal__normed__vector @t100)) % 1.02/1.30 (define @t207 () (tptp.class_RealVector_Oreal__normed__vector @t203)) % 1.02/1.30 (define @t208 () (and @t19 @t207 @t206)) % 1.02/1.30 (define @t209 () (tptp.c_Complex_OIm @t12)) % 1.02/1.30 (define @t210 () (tptp.c_Complex_ORe @t12)) % 1.02/1.30 (define @t211 () (@list @t119 @t99)) % 1.02/1.30 (define @t212 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t213 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.02/1.30 (define @t214 () (@list @t40)) % 1.02/1.30 (define @t215 () (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_Complex_Ocomplex @t155 @t15)) % 1.02/1.30 (define @t216 () (tptp.c_Complex_ORe @t215)) % 1.02/1.30 (define @t217 () (@list @t15 @t155)) % 1.02/1.30 (define @t218 () (tptp.c_Complex_OIm @t215)) % 1.02/1.30 (define @t219 () (tptp.c_Orderings_Oord__class_Oless @t13 @t67 @t187)) % 1.02/1.30 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t13 @t38 @t187)) % 1.02/1.30 (define @t221 () (=> @t220 @t219)) % 1.02/1.30 (define @t222 () (tptp.c_Orderings_Oord__class_Oless @t13 @t40 @t187)) % 1.02/1.30 (define @t223 () (tptp.class_Groups_Oordered__comm__monoid__add @t13)) % 1.02/1.30 (define @t224 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t67)) % 1.02/1.30 (define @t225 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t38)) % 1.02/1.30 (define @t226 () (=> @t225 @t224)) % 1.02/1.30 (define @t227 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t40)) % 1.02/1.30 (define @t228 () (tptp.c_Orderings_Oord__class_Oless @t13 @t27 @t187)) % 1.02/1.30 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t27 @t27)) % 1.02/1.30 (define @t230 () (= (tptp.c_Orderings_Oord__class_Oless @t13 @t229 @t187) @t228)) % 1.02/1.30 (define @t231 () (tptp.class_Groups_Olinordered__ab__group__add @t13)) % 1.02/1.30 (define @t232 () (@list @t27 @t13)) % 1.02/1.30 (define @t233 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t27)) % 1.02/1.30 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t13 @t12 @t15)) % 1.02/1.30 (define @t235 () (not @t107)) % 1.02/1.30 (define @t236 () (tptp.c_Orderings_Oord__class_Oless @t13 @t15 @t12)) % 1.02/1.30 (define @t237 () (not @t236)) % 1.02/1.30 (define @t238 () (tptp.c_Orderings_Oord__class_Oless @t13 @t23 @t15)) % 1.02/1.30 (define @t239 () (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t23 @t12) @t238)) % 1.02/1.30 (define @t240 () (tptp.c_Orderings_Oord__class_Oless @t13 @t15 @t23)) % 1.02/1.30 (define @t241 () (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t12 @t23) @t240)) % 1.02/1.30 (define @t242 () (tptp.c_Orderings_Oord__class_Oless @t13 @t37 @t40)) % 1.02/1.30 (define @t243 () (tptp.c_Orderings_Oord__class_Oless @t13 @t38 @t40)) % 1.02/1.30 (define @t244 () (tptp.c_Orderings_Oord__class_Oless @t13 @t40 @t37)) % 1.02/1.30 (define @t245 () (tptp.c_Orderings_Oord__class_Oless @t13 @t40 @t38)) % 1.02/1.30 (define @t246 () (tptp.c_Orderings_Oord__class_Oless @t13 @t38 @t37)) % 1.02/1.30 (define @t247 () (@list @t40 @t38 @t13)) % 1.02/1.30 (define @t248 () (=> @t235 (=> @t237 @t234))) % 1.02/1.30 (define @t249 () (tptp.c_Orderings_Oord__class_Oless @t13 @t99 @t119)) % 1.02/1.30 (define @t250 () (not @t249)) % 1.02/1.30 (define @t251 () (= @t250 @t120)) % 1.02/1.30 (define @t252 () (tptp.c_Orderings_Oord__class_Oless @t13 @t119 @t99)) % 1.02/1.30 (define @t253 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t38 @t15)) % 1.02/1.30 (define @t254 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t15)) % 1.02/1.30 (define @t255 () (= @t15 @t187)) % 1.02/1.30 (define @t256 () (tptp.class_RealVector_Oreal__vector @t13)) % 1.02/1.30 (define @t257 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t12)) % 1.02/1.30 (define @t258 () (@list @t12 @t15 @t40 @t13)) % 1.02/1.30 (define @t259 () (tptp.c_RealVector_OscaleR__class_OscaleR @t203 @t160 @t204)) % 1.02/1.30 (define @t260 () (tptp.c_Groups_Ozero__class_Ozero @t203)) % 1.02/1.30 (define @t261 () (and @t206 @t19 @t207)) % 1.02/1.30 (define @t262 () (= @t99 @t187)) % 1.02/1.30 (define @t263 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t27 @t99)) % 1.02/1.30 (define @t264 () (= @t27 @t213)) % 1.02/1.30 (define @t265 () (@var "V_xa" $$unsorted)) % 1.02/1.30 (define @t266 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t15 @t265)) % 1.02/1.30 (define @t267 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t196)) % 1.02/1.30 (define @t268 () (@list @t38 @t40 @t155 @t13)) % 1.02/1.30 (define @t269 () (tptp.c_RealVector_Odist__class_Odist @t13 @t99 @t119)) % 1.02/1.30 (define @t270 () (tptp.class_RealVector_Ometric__space @t13)) % 1.02/1.30 (define @t271 () (@var "V_ra" $$unsorted)) % 1.02/1.30 (define @t272 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t15)) % 1.02/1.30 (define @t273 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t38)) % 1.02/1.30 (define @t274 () (@list @t38 @t155 @t40 @t13)) % 1.02/1.30 (define @t275 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t253)) % 1.02/1.30 (define @t276 () (@list @t15 @t38 @t40 @t13)) % 1.02/1.30 (define @t277 () (tptp.c_RealVector_Odist__class_Odist @t13 @t15 @t12)) % 1.02/1.30 (define @t278 () (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t187) @t187)) % 1.02/1.30 (define @t279 () (not @t120)) % 1.02/1.30 (define @t280 () (not @t262)) % 1.02/1.30 (define @t281 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t99)) % 1.02/1.30 (define @t282 () (@list @t99 @t13)) % 1.02/1.30 (define @t283 () (@list @t38 @t13)) % 1.02/1.30 (define @t284 () (tptp.c_Orderings_Oord__class_Oless @t13 @t27 @t26)) % 1.02/1.30 (define @t285 () (= @t158 @t40)) % 1.02/1.30 (define @t286 () (= @t27 @t187)) % 1.02/1.30 (define @t287 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t99)) % 1.02/1.30 (define @t288 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 @t119)) % 1.02/1.30 (define @t289 () (@list @t13)) % 1.02/1.30 (define @t290 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t155 @t213)) % 1.02/1.30 (define @t291 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t40)) % 1.02/1.30 (define @t292 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t213)) % 1.02/1.30 (define @t293 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t40)) % 1.02/1.30 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t38 @t187)) % 1.02/1.30 (define @t295 () (tptp.c_Orderings_Oord__class_Oless @t13 @t38 @t41)) % 1.02/1.30 (define @t296 () (=> @t246 @t295)) % 1.02/1.30 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t40)) % 1.02/1.30 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t38)) % 1.02/1.30 (define @t299 () (=> @t222 @t186)) % 1.02/1.30 (define @t300 () (@var "V_b_H" $$unsorted)) % 1.02/1.30 (define @t301 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t300)) % 1.02/1.30 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t38 @t300)) % 1.02/1.30 (define @t303 () (@list @t300 @t38 @t40 @t13)) % 1.02/1.30 (define @t304 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t38 @t300)) % 1.02/1.30 (define @t305 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t196)) % 1.02/1.30 (define @t306 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t254)) % 1.02/1.30 (define @t307 () (@list @t15 @t40 @t13)) % 1.02/1.30 (define @t308 () (not @t117)) % 1.02/1.30 (define @t309 () (tptp.c_Orderings_Oord__class_Oless @t13 @t47 @t46)) % 1.02/1.30 (define @t310 () (tptp.c_Orderings_Oord__class_Oless @t13 @t41 @t39)) % 1.02/1.30 (define @t311 () (tptp.c_Orderings_Oord__class_Oless @t13 @t41 @t50)) % 1.02/1.30 (define @t312 () (tptp.c_Orderings_Oord__class_Oless @t13 @t37 @t49)) % 1.02/1.30 (define @t313 () (=> @t312 @t311)) % 1.02/1.30 (define @t314 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t13)) % 1.02/1.30 (define @t315 () (tptp.c_Orderings_Oord__class_Oless @t13 @t68 @t26)) % 1.02/1.30 (define @t316 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t99 @t119)) % 1.02/1.30 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t119)) % 1.02/1.30 (define @t318 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t187) @t40)) % 1.02/1.30 (define @t319 () (tptp.class_Groups_Ocomm__monoid__add @t13)) % 1.02/1.30 (define @t320 () (tptp.class_Groups_Omonoid__add @t13)) % 1.02/1.30 (define @t321 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t187 @t40) @t40)) % 1.02/1.30 (define @t322 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t13)) % 1.02/1.30 (define @t323 () (= @t75 @t187)) % 1.02/1.30 (define @t324 () (@list @t27 @t99)) % 1.02/1.30 (define @t325 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t193)) % 1.02/1.30 (define @t326 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t15)) % 1.02/1.30 (define @t327 () (@var "V_a_H_2" $$unsorted)) % 1.02/1.30 (define @t328 () (tptp.hAPP (tptp.hAPP @t199 @t327) @t26)) % 1.02/1.30 (define @t329 () (@list @t26 @t327 @t27 @t199 @t100 @t203 @t13)) % 1.02/1.30 (define @t330 () (@var "V_b_H_2" $$unsorted)) % 1.02/1.30 (define @t331 () (tptp.hAPP @t200 @t330)) % 1.02/1.30 (define @t332 () (@list @t330 @t26 @t27 @t199 @t100 @t203 @t13)) % 1.02/1.30 (define @t333 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t192)) % 1.02/1.30 (define @t334 () (tptp.c_Groups_Ouminus__class_Ouminus @t203 @t204)) % 1.02/1.30 (define @t335 () (@list @t26 @t27 @t199 @t100 @t203 @t13)) % 1.02/1.30 (define @t336 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t12 @t265)) % 1.02/1.30 (define @t337 () (@list @t265 @t12 @t15 @t13)) % 1.02/1.30 (define @t338 () (@var "V_a_H" $$unsorted)) % 1.02/1.30 (define @t339 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t338 @t38)) % 1.02/1.30 (define @t340 () (@list @t38 @t338 @t40 @t13)) % 1.02/1.30 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t38)) % 1.02/1.30 (define @t342 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t38 @t41)) % 1.02/1.30 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t37)) % 1.02/1.30 (define @t344 () (= @t119 @t187)) % 1.02/1.30 (define @t345 () (and @t262 @t344)) % 1.02/1.30 (define @t346 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t99 @t119) @t187)) % 1.02/1.30 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t27 @t187)) % 1.02/1.30 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t27)) % 1.02/1.30 (define @t349 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t57 @t40) @t187)) % 1.02/1.30 (define @t350 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t193 @t210)) % 1.02/1.30 (define @t351 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t15 @t12)) % 1.02/1.30 (define @t352 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t192 @t209)) % 1.02/1.30 (define @t353 () (tptp.c_RealVector_Odist__class_Odist @t13 @t12 @t23)) % 1.02/1.30 (define @t354 () (tptp.c_RealVector_Odist__class_Odist @t13 @t15 @t23)) % 1.02/1.30 (define @t355 () (tptp.class_Rings_Olinordered__idom @t13)) % 1.02/1.30 (define @t356 () (tptp.class_Rings_Olinordered__semidom @t13)) % 1.02/1.30 (define @t357 () (@var "B_y" $$unsorted)) % 1.02/1.30 (define @t358 () (@var "B_d" $$unsorted)) % 1.02/1.30 (define @t359 () (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 @t15 @t357)) @t358)) % 1.02/1.30 (define @t360 () (@list @t357)) % 1.02/1.30 (define @t361 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t358)) % 1.02/1.30 (define @t362 () (@list @t358)) % 1.02/1.30 (define @t363 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t38)) % 1.02/1.30 (define @t364 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t15)) % 1.02/1.30 (define @t365 () (@list @t38 @t15 @t40)) % 1.02/1.30 (define @t366 () (= @t26 @t213)) % 1.02/1.30 (define @t367 () (tptp.c_Complex_Ocomplex_OComplex @t27 @t26)) % 1.02/1.30 (define @t368 () (@list @t26 @t27)) % 1.02/1.30 (define @t369 () (@var "V_real2_H_2" $$unsorted)) % 1.02/1.30 (define @t370 () (@var "V_real2_2" $$unsorted)) % 1.02/1.30 (define @t371 () (@var "V_real1_H_2" $$unsorted)) % 1.02/1.30 (define @t372 () (@var "V_real1_2" $$unsorted)) % 1.02/1.30 (define @t373 () (tptp.c_Complex_Ocomplex_OComplex @t372 @t370)) % 1.02/1.30 (define @t374 () (tptp.c_Complex_Ocomplex_OComplex @t15 @t12)) % 1.02/1.30 (define @t375 () (@list @t23)) % 1.02/1.30 (define @t376 () (tptp.c_Complex_Ocomplex_OComplex @t37 @t49)) % 1.02/1.30 (define @t377 () (tptp.c_Complex_Ocomplex_OComplex @t40 @t38)) % 1.02/1.30 (define @t378 () (@list @t49 @t37 @t38 @t40)) % 1.02/1.30 (define @t379 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t38)) % 1.02/1.30 (define @t380 () (@list @t38 @t40)) % 1.02/1.30 (define @t381 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.02/1.30 (define @t382 () (@var "V_real2" $$unsorted)) % 1.02/1.30 (define @t383 () (@var "V_real1" $$unsorted)) % 1.02/1.30 (define @t384 () (tptp.c_Complex_Ocomplex_OComplex @t383 @t382)) % 1.02/1.30 (define @t385 () (@list @t382 @t383)) % 1.02/1.30 (define @t386 () (@var "V_f1_2" $$unsorted)) % 1.02/1.30 (define @t387 () (tptp.hAPP (tptp.hAPP @t386 @t372) @t370)) % 1.02/1.30 (define @t388 () (@list @t370 @t372 @t386 @t13)) % 1.02/1.30 (define @t389 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.02/1.30 (define @t390 () (tptp.hAPP @t389 @t155)) % 1.02/1.30 (define @t391 () (tptp.hAPP @t390 @t192)) % 1.02/1.30 (define @t392 () (tptp.hAPP @t390 @t193)) % 1.02/1.30 (define @t393 () (tptp.hAPP (tptp.hAPP @t389 @t16) @t14)) % 1.02/1.30 (define @t394 () (tptp.c_Groups_Otimes__class_Otimes @t13)) % 1.02/1.30 (define @t395 () (tptp.hAPP @t394 @t15)) % 1.02/1.30 (define @t396 () (tptp.hAPP @t395 @t12)) % 1.02/1.30 (define @t397 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t396)) % 1.02/1.30 (define @t398 () (tptp.class_RealVector_Oreal__normed__algebra @t13)) % 1.02/1.30 (define @t399 () (@var "V_ry" $$unsorted)) % 1.02/1.30 (define @t400 () (@var "V_ly" $$unsorted)) % 1.02/1.30 (define @t401 () (tptp.hAPP @t394 @t400)) % 1.02/1.30 (define @t402 () (@var "V_rx" $$unsorted)) % 1.02/1.30 (define @t403 () (@var "V_lx" $$unsorted)) % 1.02/1.30 (define @t404 () (tptp.hAPP @t394 @t403)) % 1.02/1.30 (define @t405 () (tptp.hAPP @t394 (tptp.hAPP @t404 @t402))) % 1.02/1.30 (define @t406 () (tptp.hAPP @t394 @t402)) % 1.02/1.30 (define @t407 () (tptp.hAPP @t406 @t399)) % 1.02/1.30 (define @t408 () (tptp.hAPP @t394 (tptp.hAPP @t404 @t400))) % 1.02/1.30 (define @t409 () (tptp.hAPP @t408 @t407)) % 1.02/1.30 (define @t410 () (@list @t399 @t402 @t400 @t403 @t13)) % 1.02/1.30 (define @t411 () (tptp.hAPP @t408 @t402)) % 1.02/1.30 (define @t412 () (@list @t402 @t400 @t403 @t13)) % 1.02/1.30 (define @t413 () (tptp.hAPP @t404 @t407)) % 1.02/1.30 (define @t414 () (@list @t399 @t402 @t403 @t13)) % 1.02/1.30 (define @t415 () (tptp.hAPP @t394 @t40)) % 1.02/1.30 (define @t416 () (tptp.hAPP @t415 @t38)) % 1.02/1.30 (define @t417 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t13)) % 1.02/1.30 (define @t418 () (tptp.hAPP @t394 @t38)) % 1.02/1.30 (define @t419 () (tptp.hAPP @t418 @t40)) % 1.02/1.30 (define @t420 () (tptp.hAPP @t395 @t15)) % 1.02/1.30 (define @t421 () (tptp.hAPP @t415 @t40)) % 1.02/1.30 (define @t422 () (@var "V_z3" $$unsorted)) % 1.02/1.30 (define @t423 () (@var "V_z2" $$unsorted)) % 1.02/1.30 (define @t424 () (tptp.hAPP @t389 @t423)) % 1.02/1.30 (define @t425 () (@var "V_z1" $$unsorted)) % 1.02/1.30 (define @t426 () (tptp.hAPP @t389 @t425)) % 1.02/1.30 (define @t427 () (@list @t422 @t423 @t425)) % 1.02/1.30 (define @t428 () (tptp.hAPP @t418 @t37)) % 1.02/1.30 (define @t429 () (tptp.hAPP @t389 @t23)) % 1.02/1.30 (define @t430 () (tptp.class_RealVector_Oreal__normed__div__algebra @t13)) % 1.02/1.30 (define @t431 () (= (tptp.hAPP @t415 @t187) @t187)) % 1.02/1.30 (define @t432 () (tptp.hAPP @t394 @t187)) % 1.02/1.30 (define @t433 () (= (tptp.hAPP @t432 @t40) @t187)) % 1.02/1.30 (define @t434 () (@list @t12 @t13)) % 1.02/1.30 (define @t435 () (= @t38 @t187)) % 1.02/1.30 (define @t436 () (= @t40 @t187)) % 1.02/1.30 (define @t437 () (= @t416 @t187)) % 1.02/1.30 (define @t438 () (tptp.class_Rings_Ono__zero__divisors @t13)) % 1.02/1.30 (define @t439 () (not @t436)) % 1.02/1.30 (define @t440 () (tptp.hAPP @t394 @t27)) % 1.02/1.30 (define @t441 () (tptp.hAPP @t440 @t26)) % 1.02/1.30 (define @t442 () (tptp.class_Rings_Omult__zero @t13)) % 1.02/1.30 (define @t443 () (@var "V_ya" $$unsorted)) % 1.02/1.30 (define @t444 () (tptp.hAPP @t394 @t12)) % 1.02/1.30 (define @t445 () (tptp.hAPP @t444 @t443)) % 1.02/1.30 (define @t446 () (tptp.hAPP @t395 @t443)) % 1.02/1.30 (define @t447 () (@list @t443 @t12 @t15 @t13)) % 1.02/1.30 (define @t448 () (tptp.hAPP (tptp.hAPP @t394 @t338) @t38)) % 1.02/1.30 (define @t449 () (tptp.hAPP @t394 @t265)) % 1.02/1.30 (define @t450 () (tptp.hAPP @t449 @t12)) % 1.02/1.30 (define @t451 () (tptp.hAPP @t449 @t15)) % 1.02/1.30 (define @t452 () (@list @t12 @t15 @t265 @t13)) % 1.02/1.30 (define @t453 () (tptp.hAPP @t415 @t300)) % 1.02/1.30 (define @t454 () (@var "V_za_2" $$unsorted)) % 1.02/1.30 (define @t455 () (@var "V_wa_2" $$unsorted)) % 1.02/1.30 (define @t456 () (tptp.hAPP @t394 @t99)) % 1.02/1.30 (define @t457 () (tptp.hAPP @t394 @t455)) % 1.02/1.30 (define @t458 () (tptp.hAPP @t394 @t67)) % 1.02/1.30 (define @t459 () (tptp.hAPP @t415 @t164)) % 1.02/1.30 (define @t460 () (tptp.hAPP @t415 @t37)) % 1.02/1.30 (define @t461 () (= (tptp.hAPP @t458 @t37) (tptp.c_Groups_Oplus__class_Oplus @t13 @t460 @t428))) % 1.02/1.30 (define @t462 () (tptp.hAPP @t394 @t26)) % 1.02/1.30 (define @t463 () (tptp.hAPP @t462 @t29)) % 1.02/1.30 (define @t464 () (tptp.hAPP @t440 @t29)) % 1.02/1.30 (define @t465 () (@var "V_e" $$unsorted)) % 1.02/1.30 (define @t466 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t416)) % 1.02/1.30 (define @t467 () (tptp.hAPP @t415 @t65)) % 1.02/1.30 (define @t468 () (tptp.hAPP @t394 @t57)) % 1.02/1.30 (define @t469 () (tptp.hAPP @t468 @t38)) % 1.02/1.30 (define @t470 () (tptp.class_Rings_Oring @t13)) % 1.02/1.30 (define @t471 () (not (= @t29 @t213))) % 1.02/1.30 (define @t472 () (@list @t26 @t27 @t29)) % 1.02/1.30 (define @t473 () (tptp.hAPP @t389 @t29)) % 1.02/1.30 (define @t474 () (tptp.hAPP @t394 @t158)) % 1.02/1.30 (define @t475 () (tptp.hAPP @t474 @t170)) % 1.02/1.30 (define @t476 () (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t416) @t475)) % 1.02/1.30 (define @t477 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t416)) % 1.02/1.30 (define @t478 () (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t396)) % 1.02/1.30 (define @t479 () (tptp.class_RealVector_Oreal__algebra @t13)) % 1.02/1.30 (define @t480 () (@list @t55 @t423 @t425)) % 1.02/1.30 (define @t481 () (tptp.hAPP @t389 @t40)) % 1.02/1.30 (define @t482 () (tptp.hAPP @t481 @t38)) % 1.02/1.30 (define @t483 () (@list @t15 @t40)) % 1.02/1.30 (define @t484 () (tptp.class_Rings_Olinordered__ring @t13)) % 1.02/1.30 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t26 @t187)) % 1.02/1.30 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t26)) % 1.02/1.30 (define @t487 () (tptp.class_Rings_Olinordered__ring__strict @t13)) % 1.02/1.30 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t416)) % 1.02/1.30 (define @t489 () (tptp.class_Rings_Oordered__cancel__semiring @t13)) % 1.02/1.30 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t416 @t187)) % 1.02/1.30 (define @t491 () (tptp.class_Rings_Oordered__ring @t13)) % 1.02/1.30 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t460 @t428)) % 1.02/1.30 (define @t493 () (tptp.class_Rings_Oordered__semiring @t13)) % 1.02/1.30 (define @t494 () (tptp.hAPP @t394 @t37)) % 1.02/1.30 (define @t495 () (tptp.hAPP @t494 @t38)) % 1.02/1.30 (define @t496 () (tptp.hAPP @t494 @t40)) % 1.02/1.30 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t496 @t495)) % 1.02/1.30 (define @t498 () (=> @t43 (=> @t343 @t497))) % 1.02/1.30 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t37 @t187)) % 1.02/1.30 (define @t500 () (tptp.hAPP @t418 @t49)) % 1.02/1.30 (define @t501 () (=> @t343 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t460 @t500))) % 1.02/1.30 (define @t502 () (tptp.c_Orderings_Oord__class_Oless @t13 @t26 @t27)) % 1.02/1.30 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t13 @t29 @t187)) % 1.02/1.30 (define @t504 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t29)) % 1.02/1.30 (define @t505 () (or (and @t504 @t284) (and @t503 @t502))) % 1.02/1.30 (define @t506 () (tptp.hAPP @t394 @t29)) % 1.02/1.30 (define @t507 () (tptp.hAPP @t506 @t26)) % 1.02/1.30 (define @t508 () (tptp.hAPP @t506 @t27)) % 1.02/1.30 (define @t509 () (tptp.c_Orderings_Oord__class_Oless @t13 @t508 @t507)) % 1.02/1.30 (define @t510 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t416)) % 1.02/1.30 (define @t511 () (tptp.class_Rings_Olinordered__semiring__strict @t13)) % 1.02/1.30 (define @t512 () (tptp.c_Orderings_Oord__class_Oless @t13 @t416 @t187)) % 1.02/1.30 (define @t513 () (=> @t227 @t225)) % 1.02/1.30 (define @t514 () (tptp.c_Orderings_Oord__class_Oless @t13 @t460 @t428)) % 1.02/1.30 (define @t515 () (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t37)) % 1.02/1.30 (define @t516 () (tptp.c_Orderings_Oord__class_Oless @t13 @t496 @t495)) % 1.02/1.30 (define @t517 () (=> @t245 (=> @t515 @t516))) % 1.02/1.30 (define @t518 () (tptp.c_Orderings_Oord__class_Oless @t13 @t37 @t187)) % 1.02/1.30 (define @t519 () (tptp.hAPP @t394 @t155)) % 1.02/1.30 (define @t520 () (tptp.hAPP @t394 (tptp.c_Groups_Ominus__class_Ominus @t13 @t15 @t40))) % 1.02/1.30 (define @t521 () (tptp.hAPP @t520 @t38)) % 1.02/1.30 (define @t522 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t396 @t416)) % 1.02/1.30 (define @t523 () (@var "V_e_2" $$unsorted)) % 1.02/1.30 (define @t524 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t394 (tptp.c_Groups_Ominus__class_Ominus @t13 @t26 @t27)) @t523) @t73)) % 1.02/1.30 (define @t525 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t462 @t523) @t73)) % 1.02/1.30 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t440 @t523) @t29)) % 1.02/1.30 (define @t527 () (= @t526 @t525)) % 1.02/1.30 (define @t528 () (@list @t73 @t26 @t29 @t523 @t27 @t13)) % 1.02/1.30 (define @t529 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t394 @t75) @t523) @t29)) % 1.02/1.30 (define @t530 () (tptp.hAPP @t389 @t15)) % 1.02/1.30 (define @t531 () (tptp.hAPP @t530 @t12)) % 1.02/1.30 (define @t532 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t12)) % 1.02/1.30 (define @t533 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t15)) % 1.02/1.30 (define @t534 () (tptp.hAPP @t389 @t119)) % 1.02/1.30 (define @t535 () (tptp.hAPP @t534 @t454)) % 1.02/1.30 (define @t536 () (tptp.hAPP @t389 @t99)) % 1.02/1.30 (define @t537 () (tptp.hAPP @t536 @t454)) % 1.02/1.30 (define @t538 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t454)) % 1.02/1.30 (define @t539 () (@list @t119 @t99 @t454)) % 1.02/1.30 (define @t540 () (= @t99 @t213)) % 1.02/1.30 (define @t541 () (tptp.hAPP @t536 @t99)) % 1.02/1.30 (define @t542 () (@var "V_u" $$unsorted)) % 1.02/1.30 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t508 @t507)) % 1.02/1.30 (define @t544 () (tptp.c_Orderings_Oord__class_Oless @t13 @t460 @t500)) % 1.02/1.30 (define @t545 () (=> @t343 @t544)) % 1.02/1.30 (define @t546 () (=> @t343 @t245)) % 1.02/1.30 (define @t547 () (=> @t514 @t546)) % 1.02/1.30 (define @t548 () (tptp.class_Rings_Olinordered__semiring @t13)) % 1.02/1.30 (define @t549 () (=> @t516 @t546)) % 1.02/1.30 (define @t550 () (=> @t515 @t43)) % 1.02/1.30 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t526 @t525)) % 1.02/1.30 (define @t552 () (tptp.c_Orderings_Oord__class_Oless @t13 @t526 @t525)) % 1.02/1.30 (define @t553 () (tptp.hAPP @t444 @t15)) % 1.02/1.30 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t15)) % 1.02/1.30 (define @t555 () (tptp.hAPP @t389 @t454)) % 1.02/1.30 (define @t556 () (tptp.hAPP @t389 @t37)) % 1.02/1.30 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t213)) % 1.02/1.30 (define @t558 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t15)) % 1.02/1.30 (define @t559 () (tptp.hAPP @t456 @t99)) % 1.02/1.30 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t559 (tptp.hAPP (tptp.hAPP @t394 @t119) @t119))) % 1.02/1.30 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t420 (tptp.hAPP @t444 @t12))) % 1.02/1.30 (define @t562 () (@var "V_r2" $$unsorted)) % 1.02/1.30 (define @t563 () (@var "V_r1" $$unsorted)) % 1.02/1.30 (define @t564 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t565 () (tptp.hAPP @t389 @t38)) % 1.02/1.30 (define @t566 () (tptp.hAPP @t564 @t377)) % 1.02/1.30 (define @t567 () (tptp.hAPP @t389 @t192)) % 1.02/1.30 (define @t568 () (tptp.hAPP @t389 @t193)) % 1.02/1.30 (define @t569 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t568 @t209) (tptp.hAPP @t567 @t210))) % 1.02/1.30 (define @t570 () (tptp.hAPP (tptp.hAPP @t564 @t15) @t12)) % 1.02/1.30 (define @t571 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t568 @t210) (tptp.hAPP @t567 @t209))) % 1.02/1.30 (define @t572 () (@list @t99)) % 1.02/1.30 (define @t573 () (@var "B_K" $$unsorted)) % 1.02/1.30 (define @t574 () (tptp.hAPP (tptp.hAPP @t389 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t3)) @t573)) % 1.02/1.30 (define @t575 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.c_Complex_OIm @t3)) @t574))) % 1.02/1.30 (define @t576 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t573)) % 1.02/1.30 (define @t577 () (@list @t573)) % 1.02/1.30 (define @t578 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.c_Complex_ORe @t3)) @t574))) % 1.02/1.30 (define @t579 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t3 @t15)) (tptp.hAPP (tptp.hAPP @t389 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t573)))) % 1.02/1.30 (define @t580 () (@var "B_b" $$unsorted)) % 1.02/1.30 (define @t581 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t580)) % 1.02/1.30 (define @t582 () (@var "B_a" $$unsorted)) % 1.02/1.30 (define @t583 () (@list @t582 @t580)) % 1.02/1.30 (define @t584 () (forall @t583 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t582 @t580)) (tptp.hAPP (tptp.hAPP @t389 (tptp.hAPP (tptp.hAPP @t389 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t582)) @t581)) @t573)))) % 1.02/1.30 (define @t585 () (@var "V_n" $$unsorted)) % 1.02/1.30 (define @t586 () (@list @t585)) % 1.02/1.30 (define @t587 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t573)) % 1.02/1.30 (define @t588 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.02/1.30 (define @t589 () (tptp.hAPP @t588 @t164)) % 1.02/1.30 (define @t590 () (tptp.hAPP @t589 @t164)) % 1.02/1.30 (define @t591 () (@list @t164)) % 1.02/1.30 (define @t592 () (tptp.hAPP @t588 @t141)) % 1.02/1.30 (define @t593 () (tptp.hAPP @t592 @t139)) % 1.02/1.30 (define @t594 () (tptp.hAPP @t588 @t140)) % 1.02/1.30 (define @t595 () (tptp.hAPP @t594 @t139)) % 1.02/1.30 (define @t596 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t141)) % 1.02/1.30 (define @t597 () (tptp.hAPP @t588 @t139)) % 1.02/1.30 (define @t598 () (tptp.hAPP @t597 @t141)) % 1.02/1.30 (define @t599 () (tptp.hAPP @t597 @t140)) % 1.02/1.30 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t139 @t166)) % 1.02/1.30 (define @t601 () (@list @t166 @t139 @t141 @t140)) % 1.02/1.30 (define @t602 () (@var "V_n_2" $$unsorted)) % 1.02/1.30 (define @t603 () (@var "V_m_2" $$unsorted)) % 1.02/1.30 (define @t604 () (= @t603 @t602)) % 1.02/1.30 (define @t605 () (not @t604)) % 1.02/1.30 (define @t606 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t603 @t602)) % 1.02/1.30 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t602)) % 1.02/1.30 (define @t608 () (@list @t602 @t603)) % 1.02/1.30 (define @t609 () (or @t607 @t604)) % 1.02/1.30 (define @t610 () (@var "V_j_2" $$unsorted)) % 1.02/1.30 (define @t611 () (@var "V_k_2" $$unsorted)) % 1.02/1.30 (define @t612 () (@var "V_i_2" $$unsorted)) % 1.02/1.30 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t611)) % 1.02/1.30 (define @t614 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t610 @t611)) % 1.02/1.30 (define @t615 () (@list @t611 @t610 @t612)) % 1.02/1.30 (define @t616 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t585)) % 1.02/1.30 (define @t617 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 @t616) @t164)) % 1.02/1.30 (define @t618 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t164 @t585)) % 1.02/1.30 (define @t619 () (not @t618)) % 1.02/1.30 (define @t620 () (@list @t585 @t164)) % 1.02/1.30 (define @t621 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t585)) % 1.02/1.30 (define @t622 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t139)) % 1.02/1.30 (define @t623 () (= @t164 @t585)) % 1.02/1.30 (define @t624 () (not @t623)) % 1.02/1.30 (define @t625 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t166 @t164)) % 1.02/1.30 (define @t626 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t166 @t585)) % 1.02/1.30 (define @t627 () (@list @t166 @t585 @t164)) % 1.02/1.30 (define @t628 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t602 @t611)) % 1.02/1.30 (define @t629 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t603 @t611)) % 1.02/1.30 (define @t630 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t602)) % 1.02/1.30 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t603)) % 1.02/1.30 (define @t632 () (@list @t602 @t603 @t611)) % 1.02/1.30 (define @t633 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t602 @t603)) % 1.02/1.30 (define @t634 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t12)) % 1.02/1.30 (define @t635 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t164)) % 1.02/1.30 (define @t636 () (@list @t164 @t585)) % 1.02/1.30 (define @t637 () (@var "V_t" $$unsorted)) % 1.02/1.30 (define @t638 () (@var "V_P_2" $$unsorted)) % 1.02/1.30 (define @t639 () (tptp.hAPP @t638 @t602)) % 1.02/1.30 (define @t640 () (tptp.hBOOL (tptp.hAPP @t639 @t603))) % 1.02/1.30 (define @t641 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t140 @t141)) % 1.02/1.30 (define @t642 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t139 @t585)) % 1.02/1.30 (define @t643 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t139 @t166)) % 1.02/1.30 (define @t644 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t166)) % 1.02/1.30 (define @t645 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t140 @t139)) % 1.02/1.30 (define @t646 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t141)) % 1.02/1.30 (define @t647 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t139)) % 1.02/1.30 (define @t648 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t141)) % 1.02/1.30 (define @t649 () (@list @t164 @t141 @t140)) % 1.02/1.30 (define @t650 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t164)) % 1.02/1.30 (define @t651 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t611 @t602)) % 1.02/1.30 (define @t652 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t611 @t603)) % 1.02/1.30 (define @t653 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t140)) % 1.02/1.30 (define @t654 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t141 @t139)) % 1.02/1.30 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t139 @t141)) % 1.02/1.30 (define @t656 () (@list @t140 @t141 @t139)) % 1.02/1.30 (define @t657 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 @t164)) % 1.02/1.30 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t139 @t585)) % 1.02/1.30 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t164)) % 1.02/1.30 (define @t660 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t641 @t139)) % 1.02/1.30 (define @t661 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t140 @t654)) % 1.02/1.30 (define @t662 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t610 @t612)) % 1.02/1.30 (define @t663 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t610)) % 1.02/1.30 (define @t664 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t653 @t139)) % 1.02/1.30 (define @t665 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t654 @t140)) % 1.02/1.30 (define @t666 () (@list @t585 @t164 @t139)) % 1.02/1.30 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t139)) % 1.02/1.30 (define @t668 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t667 @t585)) % 1.02/1.30 (define @t669 () (@list @t585 @t139 @t164)) % 1.02/1.30 (define @t670 () (@var "B_k" $$unsorted)) % 1.02/1.30 (define @t671 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t603 @t670)) % 1.02/1.30 (define @t672 () (@list @t670)) % 1.02/1.30 (define @t673 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t585)) % 1.02/1.30 (define @t674 () (@var "B_n" $$unsorted)) % 1.02/1.30 (define @t675 () (@var "V_l_2" $$unsorted)) % 1.02/1.30 (define @t676 () (@list @t674)) % 1.02/1.30 (define @t677 () (@list @t675 @t611)) % 1.02/1.30 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t611)) % 1.02/1.30 (define @t679 () (=> @t678 @t606)) % 1.02/1.30 (define @t680 () (tptp.hAPP @t588 @t611)) % 1.02/1.30 (define @t681 () (tptp.hAPP @t680 @t602)) % 1.02/1.30 (define @t682 () (tptp.hAPP @t680 @t603)) % 1.02/1.30 (define @t683 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t682 @t681)) % 1.02/1.30 (define @t684 () (tptp.hAPP (tptp.hAPP @t588 @t602) @t611)) % 1.02/1.30 (define @t685 () (tptp.hAPP @t588 @t603)) % 1.02/1.30 (define @t686 () (tptp.hAPP @t685 @t611)) % 1.02/1.30 (define @t687 () (@list @t602 @t611 @t603)) % 1.02/1.30 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t602)) % 1.02/1.30 (define @t689 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t603)) % 1.02/1.30 (define @t690 () (tptp.hAPP @t685 @t602)) % 1.02/1.30 (define @t691 () (= @t602 @t381)) % 1.02/1.30 (define @t692 () (= @t603 @t381)) % 1.02/1.30 (define @t693 () (and @t678 @t607)) % 1.02/1.30 (define @t694 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t682 @t681)) % 1.02/1.30 (define @t695 () (= @t611 @t381)) % 1.02/1.30 (define @t696 () (or @t604 @t695)) % 1.02/1.30 (define @t697 () (= @t682 @t681)) % 1.02/1.30 (define @t698 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t139)) % 1.02/1.30 (define @t699 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t603 @t602)) % 1.02/1.30 (define @t700 () (= @t585 @t381)) % 1.02/1.30 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t585)) % 1.02/1.30 (define @t702 () (not @t700)) % 1.02/1.30 (define @t703 () (not @t691)) % 1.02/1.30 (define @t704 () (@list @t602)) % 1.02/1.30 (define @t705 () (= @t616 @t381)) % 1.02/1.30 (define @t706 () (@list @t603 @t602)) % 1.02/1.30 (define @t707 () (tptp.hBOOL (tptp.hAPP @t638 @t358))) % 1.02/1.30 (define @t708 () (= @t27 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t26 @t358))) % 1.02/1.30 (define @t709 () (tptp.hBOOL (tptp.hAPP @t638 @t381))) % 1.02/1.30 (define @t710 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t27 @t26)) % 1.02/1.30 (define @t711 () (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t27 @t26)))) % 1.02/1.30 (define @t712 () (@list @t26 @t27 @t638)) % 1.02/1.30 (define @t713 () (not @t709)) % 1.02/1.30 (define @t714 () (tptp.hAPP @t588 @t585)) % 1.02/1.30 (define @t715 () (tptp.hAPP @t589 @t585)) % 1.02/1.30 (define @t716 () (tptp.hAPP @t714 @t139)) % 1.02/1.30 (define @t717 () (@list @t139 @t585 @t164)) % 1.02/1.30 (define @t718 () (tptp.hAPP @t589 @t139)) % 1.02/1.30 (define @t719 () (tptp.hAPP @t597 @t585)) % 1.02/1.30 (define @t720 () (tptp.hAPP @t597 @t164)) % 1.02/1.30 (define @t721 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t141)) % 1.02/1.30 (define @t722 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t721 @t139)) % 1.02/1.30 (define @t723 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t139 @t164)) % 1.02/1.30 (define @t724 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 @t139)) % 1.02/1.30 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t23)) % 1.02/1.30 (define @t726 () (tptp.hAPP @t592 @t542)) % 1.02/1.30 (define @t727 () (tptp.hAPP @t594 @t542)) % 1.02/1.30 (define @t728 () (@var "V_u_2" $$unsorted)) % 1.02/1.30 (define @t729 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t662) @t728) @t602)) % 1.02/1.30 (define @t730 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t610) @t728) @t602)) % 1.02/1.30 (define @t731 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t612) @t728) @t603)) % 1.02/1.30 (define @t732 () (= @t731 @t730)) % 1.02/1.30 (define @t733 () (@list @t602 @t603 @t728 @t610 @t612)) % 1.02/1.30 (define @t734 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t727 @t164) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t726 @t585))) % 1.02/1.30 (define @t735 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t731 @t730)) % 1.02/1.30 (define @t736 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t612 @t610)) @t728) @t603)) % 1.02/1.30 (define @t737 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t610 @t612)) % 1.02/1.30 (define @t738 () (@list @t602 @t603 @t728 @t612 @t610)) % 1.02/1.30 (define @t739 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t731 @t730)) % 1.02/1.30 (define @t740 () (tptp.hAPP @t389 (tptp.c_RealVector_Onorm__class_Onorm @t13 @t582))) % 1.02/1.30 (define @t741 () (forall @t583 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t203 (tptp.hAPP (tptp.hAPP @t199 @t582) @t580)) (tptp.hAPP (tptp.hAPP @t389 (tptp.hAPP @t740 (tptp.c_RealVector_Onorm__class_Onorm @t100 @t580))) @t573)))) % 1.02/1.30 (define @t742 () (and @t207 @t206 @t19)) % 1.02/1.30 (define @t743 () (@list @t199 @t13 @t100 @t203)) % 1.02/1.30 (define @t744 () (tptp.hAPP (tptp.hAPP @t389 (tptp.c_RealVector_Onorm__class_Onorm @t13 @t3)) @t573)) % 1.02/1.30 (define @t745 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t3)) @t744))) % 1.02/1.30 (define @t746 () (@list @t155 @t13)) % 1.02/1.30 (define @t747 () (forall @t583 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.hAPP (tptp.hAPP @t394 @t582) @t580)) (tptp.hAPP (tptp.hAPP @t389 (tptp.hAPP @t740 @t581)) @t573)))) % 1.02/1.30 (define @t748 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.hAPP (tptp.hAPP @t394 @t3) @t12)) @t744))) % 1.02/1.30 (define @t749 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.hAPP @t395 @t3)) @t744))) % 1.02/1.30 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t725)) % 1.02/1.30 (define @t751 () (@list @t12 @t23 @t15)) % 1.02/1.30 (define @t752 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t725)) % 1.02/1.30 (define @t753 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t12)) % 1.02/1.30 (define @t754 () (tptp.c_RComplete_Onatfloor @t40)) % 1.02/1.30 (define @t755 () (tptp.c_RComplete_Onatfloor @t15)) % 1.02/1.30 (define @t756 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t213)) % 1.02/1.30 (define @t757 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t40)) % 1.02/1.30 (define @t758 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t757)) % 1.02/1.30 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t15)) % 1.02/1.30 (define @t760 () (@list @t40 @t15)) % 1.02/1.30 (define @t761 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t585)) % 1.02/1.30 (define @t762 () (@list @t585 @t15)) % 1.02/1.30 (define @t763 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t603)) % 1.02/1.30 (define @t764 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t602)) % 1.02/1.30 (define @t765 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t602 @t603)) % 1.02/1.30 (define @t766 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t15)) % 1.02/1.30 (define @t767 () (= @t602 @t603)) % 1.02/1.30 (define @t768 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t164)) % 1.02/1.30 (define @t769 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t755)) % 1.02/1.30 (define @t770 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t27)) % 1.02/1.30 (define @t771 () (tptp.c_RComplete_Onatfloor @t99)) % 1.02/1.30 (define @t772 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t99)) % 1.02/1.30 (define @t773 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t757)) % 1.02/1.30 (define @t774 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t757 @t15)) % 1.02/1.30 (define @t775 () (tptp.c_RComplete_Onatceiling @t15)) % 1.02/1.30 (define @t776 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.02/1.30 (define @t777 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t761 @t776)) % 1.02/1.30 (define @t778 () (@list @t15 @t585)) % 1.02/1.30 (define @t779 () (tptp.c_Groups_Oone__class_Oone @t13)) % 1.02/1.30 (define @t780 () (= (tptp.hAPP @t415 @t779) @t40)) % 1.02/1.30 (define @t781 () (= (tptp.hAPP (tptp.hAPP @t394 @t779) @t40) @t40)) % 1.02/1.30 (define @t782 () (tptp.class_Groups_Ocomm__monoid__mult @t13)) % 1.02/1.30 (define @t783 () (tptp.class_Groups_Omonoid__mult @t13)) % 1.02/1.30 (define @t784 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t13)) % 1.02/1.30 (define @t785 () (= @t99 @t779)) % 1.02/1.30 (define @t786 () (tptp.class_Rings_Ozero__neq__one @t13)) % 1.02/1.30 (define @t787 () (tptp.hAPP @t394 @t164)) % 1.02/1.30 (define @t788 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t779)) % 1.02/1.30 (define @t789 () (tptp.hAPP (tptp.hAPP @t394 @t788) @t164)) % 1.02/1.30 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t779 @t779)) % 1.02/1.30 (define @t791 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t779)) % 1.02/1.30 (define @t792 () (tptp.class_Rings_Oring__1__no__zero__divisors @t13)) % 1.02/1.30 (define @t793 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t12 @t779)) % 1.02/1.30 (define @t794 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t12)) % 1.02/1.30 (define @t795 () (tptp.class_Rings_Oring__1 @t13)) % 1.02/1.30 (define @t796 () (@var "V_v" $$unsorted)) % 1.02/1.30 (define @t797 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t394 @t542) @t15) (tptp.hAPP (tptp.hAPP @t394 @t796) @t12))) % 1.02/1.30 (define @t798 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t542 @t796) @t779)) % 1.02/1.30 (define @t799 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t796)) % 1.02/1.30 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t542)) % 1.02/1.30 (define @t801 () (@list @t796 @t542 @t12 @t40 @t15 @t13)) % 1.02/1.30 (define @t802 () (tptp.c_RComplete_Onatceiling @t99)) % 1.02/1.30 (define @t803 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.02/1.30 (define @t804 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 @t803)) % 1.02/1.30 (define @t805 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t776)) % 1.02/1.30 (define @t806 () (and (= @t603 @t803) (= @t602 @t803))) % 1.02/1.30 (define @t807 () (= @t164 @t381)) % 1.02/1.30 (define @t808 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t809 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t803)) % 0.59/1.30 (define @t810 () (not @t807)) % 0.59/1.30 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t776 @t99)) % 0.59/1.30 (define @t812 () (@var "B_i" $$unsorted)) % 0.59/1.30 (define @t813 () (@list @t812)) % 0.59/1.30 (define @t814 () (tptp.hAPP @t564 tptp.c_Complex_Oii)) % 0.59/1.30 (define @t815 () (@var "V_M_2" $$unsorted)) % 0.59/1.30 (define @t816 () (@var "V_X_2" $$unsorted)) % 0.59/1.30 (define @t817 () (tptp.hAPP @t816 @t815)) % 0.59/1.30 (define @t818 () (tptp.hAPP @t816 @t674)) % 0.59/1.30 (define @t819 () (tptp.c_RealVector_Onorm__class_Onorm @t100 @t818)) % 0.59/1.30 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t815 @t674)) % 0.59/1.30 (define @t821 () (tptp.c_Complex_Ocomplex_OComplex @t379 @t40)) % 0.59/1.30 (define @t822 () (@var "B_m" $$unsorted)) % 0.59/1.30 (define @t823 () (tptp.hAPP @t816 @t822)) % 0.59/1.30 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t822 @t674)) % 0.59/1.30 (define @t825 () (@list @t822 @t674)) % 0.59/1.30 (define @t826 () (@list @t816 @t13)) % 0.59/1.30 (define @t827 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 0.59/1.30 (define @t828 () (tptp.hAPP @t389 @t761)) % 0.59/1.30 (define @t829 () (@var "V_q" $$unsorted)) % 0.59/1.30 (define @t830 () (tptp.c_Power_Opower__class_Opower @t13)) % 0.59/1.30 (define @t831 () (tptp.hAPP @t830 @t15)) % 0.59/1.30 (define @t832 () (tptp.hAPP @t831 @t829)) % 0.59/1.30 (define @t833 () (tptp.hAPP @t394 @t832)) % 0.59/1.30 (define @t834 () (@var "V_p" $$unsorted)) % 0.59/1.30 (define @t835 () (tptp.hAPP @t588 @t834)) % 0.59/1.30 (define @t836 () (tptp.hAPP @t831 @t834)) % 0.59/1.30 (define @t837 () (@list @t829 @t834 @t15 @t13)) % 0.59/1.30 (define @t838 () (tptp.hAPP (tptp.hAPP @t827 @t16) @t585)) % 0.59/1.30 (define @t839 () (tptp.hAPP @t831 @t585)) % 0.59/1.30 (define @t840 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t839)) % 0.59/1.30 (define @t841 () (@list @t585 @t15 @t13)) % 0.59/1.30 (define @t842 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t803)) % 0.59/1.30 (define @t843 () (tptp.hAPP @t830 @t164)) % 0.59/1.30 (define @t844 () (tptp.hAPP @t843 @t585)) % 0.59/1.30 (define @t845 () (tptp.class_Power_Opower @t13)) % 0.59/1.30 (define @t846 () (tptp.hAPP @t830 @t38)) % 0.59/1.30 (define @t847 () (tptp.hAPP @t846 @t585)) % 0.59/1.30 (define @t848 () (tptp.hAPP @t830 @t40)) % 0.59/1.30 (define @t849 () (tptp.hAPP @t848 @t585)) % 0.59/1.30 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t13 @t849 @t847)) % 0.59/1.30 (define @t851 () (@list @t585 @t38 @t40 @t13)) % 0.59/1.30 (define @t852 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.59/1.30 (define @t853 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t852 @t164) @t585))) % 0.59/1.30 (define @t854 () (tptp.hAPP (tptp.hAPP @t827 @t768) @t585)) % 0.59/1.30 (define @t855 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.59/1.30 (define @t856 () (tptp.hAPP @t855 @t15)) % 0.59/1.30 (define @t857 () (tptp.hAPP @t856 @t12)) % 0.59/1.30 (define @t858 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.59/1.30 (define @t859 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.59/1.30 (define @t860 () (@list @t602 @t99)) % 0.59/1.30 (define @t861 () (tptp.hAPP @t852 @t140)) % 0.59/1.30 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t99)) % 0.59/1.30 (define @t863 () (tptp.hAPP @t852 @t99)) % 0.59/1.30 (define @t864 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 (tptp.hAPP @t863 @t602))) % 0.59/1.30 (define @t865 () (tptp.hAPP (tptp.hAPP @t827 @t15) @t585)) % 0.59/1.30 (define @t866 () (tptp.hAPP @t852 @t834)) % 0.59/1.30 (define @t867 () (tptp.hAPP @t866 @t164)) % 0.59/1.30 (define @t868 () (@list @t585 @t40 @t13)) % 0.59/1.30 (define @t869 () (tptp.hAPP @t415 @t849)) % 0.59/1.30 (define @t870 () (tptp.hAPP @t394 @t849)) % 0.59/1.30 (define @t871 () (tptp.hAPP @t870 @t40)) % 0.59/1.30 (define @t872 () (@list @t585 @t13)) % 0.59/1.30 (define @t873 () (tptp.hAPP @t848 @t164)) % 0.59/1.30 (define @t874 () (@list @t585 @t164 @t40 @t13)) % 0.59/1.30 (define @t875 () (tptp.hAPP (tptp.hAPP @t830 @t158) @t585)) % 0.59/1.30 (define @t876 () (tptp.c_Groups_Oabs__class_Oabs @t13 @t849)) % 0.59/1.30 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t779 @t40)) % 0.59/1.30 (define @t878 () (tptp.hAPP @t830 @t27)) % 0.59/1.30 (define @t879 () (tptp.hAPP @t878 @t602)) % 0.59/1.30 (define @t880 () (tptp.hAPP (tptp.hAPP @t830 @t57) @t585)) % 0.59/1.30 (define @t881 () (@list @t38 @t585 @t40 @t13)) % 0.59/1.30 (define @t882 () (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t40)) % 0.59/1.30 (define @t883 () (tptp.hAPP @t830 @t187)) % 0.59/1.30 (define @t884 () (tptp.hAPP @t883 @t585)) % 0.59/1.30 (define @t885 () (and @t845 (tptp.class_Rings_Osemiring__0 @t13))) % 0.59/1.30 (define @t886 () (@var "V_N" $$unsorted)) % 0.59/1.30 (define @t887 () (tptp.hAPP @t848 @t886)) % 0.59/1.30 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t886)) % 0.59/1.30 (define @t889 () (@list @t40 @t886 @t585 @t13)) % 0.59/1.30 (define @t890 () (tptp.hAPP @t830 @t26)) % 0.59/1.30 (define @t891 () (tptp.hAPP @t890 @t119)) % 0.59/1.30 (define @t892 () (tptp.hAPP @t890 @t99)) % 0.59/1.30 (define @t893 () (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t26)) % 0.59/1.30 (define @t894 () (@list @t119 @t99 @t26 @t13)) % 0.59/1.30 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t886)) % 0.59/1.30 (define @t896 () (tptp.c_Orderings_Oord__class_Oless @t13 @t40 @t779)) % 0.59/1.30 (define @t897 () (tptp.hAPP @t858 @t139)) % 0.59/1.30 (define @t898 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t141)) % 0.59/1.30 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 @t23)) % 0.59/1.30 (define @t900 () (@var "V_z_H" $$unsorted)) % 0.59/1.30 (define @t901 () (@var "V_w_H" $$unsorted)) % 0.59/1.30 (define @t902 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t23)) % 0.59/1.30 (define @t903 () (tptp.hAPP @t858 @t55)) % 0.59/1.30 (define @t904 () (tptp.hAPP @t858 @t23)) % 0.59/1.30 (define @t905 () (tptp.hAPP @t904 @t55)) % 0.59/1.30 (define @t906 () (tptp.hAPP @t858 @t423)) % 0.59/1.30 (define @t907 () (tptp.hAPP @t858 @t425)) % 0.59/1.30 (define @t908 () (tptp.hAPP @t906 @t55)) % 0.59/1.30 (define @t909 () (tptp.hAPP @t907 @t55)) % 0.59/1.30 (define @t910 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t425 @t423)) % 0.59/1.30 (define @t911 () (tptp.hAPP @t903 @t423)) % 0.59/1.30 (define @t912 () (tptp.hAPP @t903 @t425)) % 0.59/1.30 (define @t913 () (@list @t423 @t425 @t55)) % 0.59/1.30 (define @t914 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t425 @t423)) % 0.59/1.30 (define @t915 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t140)) % 0.59/1.30 (define @t916 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t859)) % 0.59/1.30 (define @t917 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.59/1.30 (define @t918 () (@list @t454)) % 0.59/1.30 (define @t919 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t917 @t23)) % 0.59/1.30 (define @t920 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t455 @t454)) % 0.59/1.30 (define @t921 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t455 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t454 @t917))) % 0.59/1.30 (define @t922 () (@list @t454 @t455)) % 0.59/1.30 (define @t923 () (@var "V_one_2" $$unsorted)) % 0.59/1.30 (define @t924 () (@var "V_times_2" $$unsorted)) % 0.59/1.30 (define @t925 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t13 @t923 @t924) @t27)) % 0.59/1.30 (define @t926 () (tptp.hAPP (tptp.hAPP @t858 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t15 @t23)) @t917)) @t49)) % 0.59/1.30 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t49)) % 0.59/1.30 (define @t928 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t23)) % 0.59/1.30 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t23 @t55)) % 0.59/1.30 (define @t930 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t140 @t141)) % 0.59/1.30 (define @t931 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t55)) % 0.59/1.30 (define @t932 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t23 @t55)) % 0.59/1.30 (define @t933 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t55)) % 0.59/1.30 (define @t934 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t933)) % 0.59/1.30 (define @t935 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t155)) % 0.59/1.30 (define @t936 () (= @t40 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t155 (tptp.hAPP (tptp.hAPP @t858 @t40) @t829)))) % 0.59/1.30 (define @t937 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t40)) % 0.59/1.30 (define @t938 () (@list @t829 @t155 @t40)) % 0.59/1.30 (define @t939 () (@var "V_q_H" $$unsorted)) % 0.59/1.30 (define @t940 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t300)) % 0.59/1.30 (define @t941 () (@var "V_r_H" $$unsorted)) % 0.59/1.30 (define @t942 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t941 @t300)) % 0.59/1.30 (define @t943 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t858 @t300) @t939) @t941)) % 0.59/1.30 (define @t944 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t943)) % 0.59/1.30 (define @t945 () (@list @t941 @t939 @t300)) % 0.59/1.30 (define @t946 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t941)) % 0.59/1.30 (define @t947 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t943 @t859)) % 0.59/1.30 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t939 @t829)) % 0.59/1.30 (define @t949 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t155 @t38)) % 0.59/1.30 (define @t950 () (tptp.hAPP @t858 @t38)) % 0.59/1.30 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t950 @t829) @t155)) % 0.59/1.30 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t950 @t939) @t941) @t951)) % 0.59/1.30 (define @t953 () (@list @t155 @t829 @t941 @t939 @t38)) % 0.59/1.30 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t829 @t939)) % 0.59/1.30 (define @t955 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t300 @t38)) % 0.59/1.30 (define @t956 () (= @t951 @t943)) % 0.59/1.30 (define @t957 () (@list @t941 @t939 @t300 @t155 @t829 @t38)) % 0.59/1.30 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t15)) % 0.59/1.30 (define @t959 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t12)) % 0.59/1.30 (define @t960 () (tptp.c_Nat__Transfer_Otsub @t15 @t12)) % 0.59/1.30 (define @t961 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t15)) % 0.59/1.30 (define @t962 () (=> @t961 (= @t960 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t15 @t12)))) % 0.59/1.30 (define @t963 () (@list @t15 @t12)) % 0.59/1.30 (define @t964 () (tptp.hAPP (tptp.hAPP @t858 @t611) @t73)) % 0.59/1.30 (define @t965 () (tptp.hBOOL (tptp.hAPP @t638 @t3))) % 0.59/1.30 (define @t966 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t611)) % 0.59/1.30 (define @t967 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t73)) % 0.59/1.30 (define @t968 () (@list @t611 @t638 @t73)) % 0.59/1.30 (define @t969 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t40)) % 0.59/1.30 (define @t970 () (@list @t40 @t585)) % 0.59/1.30 (define @t971 () (@var "B_r" $$unsorted)) % 0.59/1.30 (define @t972 () (tptp.c_Transcendental_Oln @t15)) % 0.59/1.30 (define @t973 () (tptp.c_Transcendental_Oln @t119)) % 0.59/1.30 (define @t974 () (tptp.c_Transcendental_Oln @t99)) % 0.59/1.30 (define @t975 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t119)) % 0.59/1.30 (define @t976 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t99)) % 0.59/1.30 (define @t977 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t972)) % 0.59/1.30 (define @t978 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t776 @t15)) % 0.59/1.30 (define @t979 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t972)) % 0.59/1.30 (define @t980 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t776 @t15)) % 0.59/1.30 (define @t981 () (tptp.c_RealVector_Onorm__class_Onorm @t13 @t818)) % 0.59/1.30 (define @t982 () (exists @t577 (and @t576 (forall @t676 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t573))))) % 0.59/1.30 (define @t983 () (tptp.c_SEQ_OBseq @t13 @t816)) % 0.59/1.30 (define @t984 () (@var "B_N" $$unsorted)) % 0.59/1.30 (define @t985 () (@list @t984)) % 0.59/1.30 (define @t986 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t670)) % 0.59/1.30 (define @t987 () (@var "V_K_2" $$unsorted)) % 0.59/1.30 (define @t988 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t987)) % 0.59/1.30 (define @t989 () (tptp.hAPP @t2 @t812)) % 0.59/1.30 (define @t990 () (@var "V_N_2" $$unsorted)) % 0.59/1.30 (define @t991 () (tptp.c_Nat_OSuc @t585)) % 0.59/1.30 (define @t992 () (tptp.c_Nat_OSuc @t164)) % 0.59/1.30 (define @t993 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t992 @t991)) % 0.59/1.30 (define @t994 () (tptp.c_Nat_OSuc @t141)) % 0.59/1.30 (define @t995 () (tptp.c_Nat_OSuc @t654)) % 0.59/1.30 (define @t996 () (@list @t164 @t141 @t139)) % 0.59/1.30 (define @t997 () (tptp.hAPP @t848 @t991)) % 0.59/1.30 (define @t998 () (tptp.hAPP @t846 @t991)) % 0.59/1.30 (define @t999 () (tptp.hAPP @t395 @t832)) % 0.59/1.30 (define @t1000 () (tptp.hAPP @t831 (tptp.c_Nat_OSuc @t829))) % 0.59/1.30 (define @t1001 () (@list @t829 @t15 @t13)) % 0.59/1.30 (define @t1002 () (tptp.c_Nat_OSuc @t381)) % 0.59/1.30 (define @t1003 () (tptp.c_Nat_OSuc @t602)) % 0.59/1.30 (define @t1004 () (= @t602 @t1002)) % 0.59/1.30 (define @t1005 () (= @t603 @t1002)) % 0.59/1.30 (define @t1006 () (tptp.hAPP @t588 (tptp.c_Nat_OSuc @t611))) % 0.59/1.30 (define @t1007 () (tptp.hAPP @t1006 @t602)) % 0.59/1.30 (define @t1008 () (tptp.hAPP @t1006 @t603)) % 0.59/1.30 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t992 @t585)) % 0.59/1.30 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t164 @t991)) % 0.59/1.30 (define @t1011 () (tptp.c_Nat_OSuc @t140)) % 0.59/1.30 (define @t1012 () (tptp.c_Nat_OSuc @t603)) % 0.59/1.30 (define @t1013 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t602 @t1012)) % 0.59/1.30 (define @t1014 () (= @t1013 @t767)) % 0.59/1.30 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t1003)) % 0.59/1.30 (define @t1016 () (@var "V_nat_H_1" $$unsorted)) % 0.59/1.30 (define @t1017 () (@var "V_nat_H" $$unsorted)) % 0.59/1.30 (define @t1018 () (@var "B_j" $$unsorted)) % 0.59/1.30 (define @t1019 () (@var "V_nat_H_2" $$unsorted)) % 0.59/1.30 (define @t1020 () (@var "V_nat_2" $$unsorted)) % 0.59/1.30 (define @t1021 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t992 @t585)) % 0.59/1.30 (define @t1022 () (tptp.c_Nat_OSuc @t673)) % 0.59/1.30 (define @t1023 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t991)) % 0.59/1.30 (define @t1024 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t992 @t585)) % 0.59/1.30 (define @t1025 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1003 @t603)) % 0.59/1.30 (define @t1026 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t991)) % 0.59/1.30 (define @t1027 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t992 @t585)) % 0.59/1.30 (define @t1028 () (@list @t164 @t140)) % 0.59/1.30 (define @t1029 () (or (and @t1005 @t691) (and @t692 @t1004))) % 0.59/1.30 (define @t1030 () (@var "T_1" $$unsorted)) % 0.59/1.30 (define @t1031 () (@var "T_2" $$unsorted)) % 0.59/1.30 (define @t1032 () (tptp.tc_fun @t1031 @t1030)) % 0.59/1.30 (define @t1033 () (@list @t1031 @t1030)) % 0.59/1.30 (define @t1034 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (define @t1035 () (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (define @t1036 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t9 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z))) % 0.59/1.30 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w) @t1036)) % 0.59/1.30 (define @t1038 () (not @t1037)) % 0.59/1.30 (define @t1039 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t8 tptp.v_z)) % 0.59/1.30 (define @t1040 () (= @t1039 @t10)) % 0.59/1.30 (define @t1041 () (@list tptp.v_z @t8)) % 0.59/1.30 (define @t1042 () (= @t10 @t1039)) % 0.59/1.30 (define @t1043 () (= @t40 @t81)) % 0.59/1.30 (define @t1044 () (= tptp.v_w @t1039)) % 0.59/1.30 (define @t1045 () (not @t1035)) % 0.59/1.30 (define @t1046 () (or @t1045 @t1044)) % 0.59/1.30 (define @t1047 () (@list false false)) % 0.59/1.30 (define @t1048 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1039)) % 0.59/1.30 (define @t1049 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1048 @t1036)) % 0.59/1.30 (define @t1050 () (not @t1034)) % 0.59/1.30 (define @t1051 () (or @t1050 @t1049)) % 0.59/1.30 (define @t1052 () (not @t1049)) % 0.59/1.30 (define @t1053 () (not @t1044)) % 0.59/1.30 (define @t1054 () (not @t1042)) % 0.59/1.30 (define @t1055 () (and @t1038 @t1042 @t1044)) % 0.59/1.30 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.59/1.30 (assume @p2 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t11 @t9) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t7))) % 0.59/1.30 (assume @p3 (forall @t20 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t16 @t14))))) % 0.59/1.30 (assume @p4 (forall @t22 (=> @t21 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t15 @t15)))) % 0.59/1.30 (assume @p5 (forall @t25 (=> @t24 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t23 @t15) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t23 @t12))))) % 0.59/1.30 (assume @p6 (forall @t33 (=> @t32 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t31 @t30) @t28)))) % 0.59/1.30 (assume @p7 (forall @t36 (=> @t32 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t35 @t34) @t28)))) % 0.59/1.30 (assume @p8 (forall @t45 (=> @t44 (=> @t43 @t42)))) % 0.59/1.30 (assume @p9 (forall @t45 (=> @t44 (=> @t43 @t48)))) % 0.59/1.30 (assume @p10 (forall @t52 (=> @t44 (=> @t43 (=> @t51 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t41 @t50)))))) % 0.59/1.30 (assume @p11 (forall @t53 (=> @t32 (=> @t42 @t43)))) % 0.59/1.30 (assume @p12 (forall @t54 (=> @t32 (=> @t48 @t43)))) % 0.59/1.30 (assume @p13 (forall @t56 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t55))) % 0.59/1.30 (assume @p14 (forall @t59 (=> @t58 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t57) @t40)))) % 0.59/1.30 (assume @p15 (forall @t64 (=> @t63 (= @t62 @t60)))) % 0.59/1.30 (assume @p16 (forall @t64 (=> @t58 @t66))) % 0.59/1.30 (assume @p17 (forall @t64 (=> @t63 @t66))) % 0.59/1.30 (assume @p18 (forall @t64 (=> @t58 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t65) @t67)))) % 0.59/1.30 (assume @p19 (forall @t71 (=> @t58 (= @t70 (= @t26 @t68))))) % 0.59/1.30 (assume @p20 (forall @t71 (=> @t58 (= (= @t68 @t26) (= @t69 @t27))))) % 0.59/1.30 (assume @p21 (forall @t71 (=> @t58 (= (= @t68 @t69) @t72)))) % 0.59/1.30 (assume @p22 (forall @t77 (=> @t63 (=> @t76 (= @t72 @t74))))) % 0.59/1.30 (assume @p23 (forall @t77 (=> @t78 (=> @t76 (= @t28 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t29 @t73)))))) % 0.59/1.30 (assume @p24 (forall @t64 (=> @t78 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t65 @t57))))) % 0.59/1.30 (assume @p25 (forall @t79 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t69 @t68) @t28)))) % 0.59/1.30 (assume @p26 (forall @t71 (=> @t78 (= @t80 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t69 @t27))))) % 0.59/1.30 (assume @p27 (forall @t71 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t27 @t69) (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t26 @t68))))) % 0.59/1.30 (assume @p28 @t83) % 0.59/1.30 (assume @p29 (forall @t64 (=> @t58 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t61 @t38) @t40)))) % 0.59/1.30 (assume @p30 (forall @t64 (=> @t58 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t57 @t67) @t38)))) % 0.59/1.30 (assume @p31 (forall @t64 (=> @t58 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 (tptp.c_Groups_Oplus__class_Oplus @t13 @t57 @t38)) @t38)))) % 0.59/1.30 (assume @p32 (forall @t64 (=> @t58 (= @t84 (tptp.c_Groups_Oplus__class_Oplus @t13 @t65 @t57))))) % 0.59/1.30 (assume @p33 (forall @t64 (=> @t63 (= @t84 (tptp.c_Groups_Oplus__class_Oplus @t13 @t57 @t65))))) % 0.59/1.30 (assume @p34 (forall @t64 (=> @t19 (= @t85 (tptp.c_RealVector_Onorm__class_Onorm @t13 @t60))))) % 0.59/1.30 (assume @p35 (forall @t22 (=> @t19 (= (tptp.c_RealVector_Onorm__class_Onorm @t13 @t86) @t16)))) % 0.59/1.30 (assume @p36 (forall @t64 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 @t85)))) % 0.59/1.30 (assume @p37 (forall @t64 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 (tptp.c_RealVector_Onorm__class_Onorm @t13 @t67))))) % 0.59/1.30 (assume @p38 @t91) % 0.59/1.30 (assume @p39 (forall @t52 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 @t95) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 @t93) (tptp.c_RealVector_Onorm__class_Onorm @t13 @t92)))))) % 0.59/1.30 (assume @p40 (forall @t20 (=> @t98 (=> (not @t97) @t96)))) % 0.59/1.30 (assume @p41 (forall (@list @t99 @t1 @t2 @t13 @t100) (=> @t103 (=> @t102 (tptp.c_Orderings_Oord__class_Oless__eq @t100 (tptp.hAPP @t2 @t99) (tptp.hAPP @t1 @t99)))))) % 0.59/1.30 (assume @p42 (forall @t106 (=> @t105 (=> @t96 (=> @t104 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t23 @t15)))))) % 0.59/1.30 (assume @p43 (forall @t108 (=> @t105 (=> @t96 (=> @t97 @t107))))) % 0.59/1.30 (assume @p44 (forall @t110 (=> @t21 (=> @t97 (=> @t109 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t15 @t23)))))) % 0.59/1.30 (assume @p45 (forall @t20 (=> @t105 (=> @t97 (=> @t96 @t107))))) % 0.59/1.30 (assume @p46 (forall @t114 (=> @t105 (=> @t113 (=> @t112 @t111))))) % 0.59/1.30 (assume @p47 (forall @t45 (=> @t116 (=> @t43 (=> @t112 @t115))))) % 0.59/1.30 (assume @p48 (forall @t45 (=> @t105 (=> @t117 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t37 @t38) @t111))))) % 0.59/1.30 (assume @p49 (forall @t45 (=> @t116 (=> @t117 (=> @t118 @t115))))) % 0.59/1.30 (assume @p50 (forall @t124 (=> @t105 (=> @t123 @t122)))) % 0.59/1.30 (assume @p51 (forall @t20 (=> @t21 (=> @t107 @t97)))) % 0.59/1.30 (assume @p52 (forall @t125 (=> @t105 (= @t120 (and @t121 @t123))))) % 0.59/1.30 (assume @p53 (forall @t20 (=> @t98 (or @t97 @t96)))) % 0.59/1.30 (assume @p54 (forall @t127 (=> @t103 (= @t102 @t126)))) % 0.59/1.30 (assume @p55 (forall @t114 (=> @t128 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t38 @t40) @t47) @t112)))) % 0.59/1.30 (assume @p56 (forall @t45 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t13) @t129))) % 0.59/1.30 (assume @p57 (forall @t45 (=> @t128 @t129))) % 0.59/1.30 (assume @p58 (forall (@list @t29 @t27 @t26 @t13) (=> @t128 (= (= @t131 @t35) @t130)))) % 0.59/1.30 (assume @p59 (forall (@list @t29 @t26 @t27 @t13) (=> @t128 (= (= @t132 @t31) @t130)))) % 0.59/1.30 (assume @p60 (forall @t45 (=> (tptp.class_Groups_Oab__semigroup__add @t13) @t134))) % 0.59/1.30 (assume @p61 (forall @t138 (=> @t137 (=> @t136 @t135)))) % 0.59/1.30 (assume @p62 (forall @t142 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t140 @t141) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t141 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t140 @t139))))) % 0.59/1.30 (assume @p63 (forall @t138 (or @t137 @t136))) % 0.59/1.30 (assume @p64 (forall (@list @t40 @t38) (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 @t38 @t40)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t38)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t40)))) % 0.59/1.30 (assume @p65 (forall @t20 (=> @t145 (= @t144 (tptp.c_Groups_Oplus__class_Oplus @t13 @t15 @t143))))) % 0.59/1.30 (assume @p66 (forall @t64 (=> @t63 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t57 @t65) @t62)))) % 0.59/1.30 (assume @p67 (forall @t146 (=> @t63 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t41 @t50) (tptp.c_Groups_Oplus__class_Oplus @t13 @t61 (tptp.c_Groups_Ominus__class_Ominus @t13 @t37 @t49)))))) % 0.59/1.30 (assume @p68 (forall @t20 (=> @t147 (=> @t97 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t143 @t86))))) % 0.59/1.30 (assume @p69 (forall @t125 (=> @t147 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t149 @t148) @t123)))) % 0.59/1.30 (assume @p70 (forall @t64 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t89) @t85)))) % 0.59/1.30 (assume @p71 (forall @t22 (=> @t147 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t86) @t15)))) % 0.59/1.30 (assume @p72 (forall (@list @t99 @t150 @t100 @t13) (=> (tptp.class_Groups_Ouminus @t13) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t152 @t150) @t99) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t151))))) % 0.59/1.30 (assume @p73 (forall @t125 (=> @t147 (= (= @t149 @t148) @t120)))) % 0.59/1.30 (assume @p74 (forall (@list @t99 @t153 @t150 @t100 @t13) (=> (tptp.class_Groups_Ominus @t13) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t152 @t150 @t153) @t99) (tptp.c_Groups_Ominus__class_Ominus @t13 @t151 (tptp.hAPP @t153 @t99)))))) % 0.59/1.30 (assume @p75 (forall @t52 (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t67 @t94) (tptp.c_Groups_Oplus__class_Oplus @t13 @t41 @t50))))) % 0.59/1.30 (assume @p76 (forall @t157 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t155) @t156))) % 0.59/1.30 (assume @p77 (forall @t59 (=> @t159 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t158) @t158)))) % 0.59/1.30 (assume @p78 (forall (@list @t160 @t99) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t99) @t160) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t160) @t99) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t160))))) % 0.59/1.30 (assume @p79 (forall @t163 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t162) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 @t161))))) % 0.59/1.30 (assume @p80 (forall (@list @t164 @t166 @t12 @t15) (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 @t168 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t167 @t165))) (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 @t15 @t167)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 @t165)))))) % 0.59/1.30 (assume @p81 (forall @t59 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t40 @t158)))) % 0.59/1.30 (assume @p82 (forall @t64 (=> @t159 (=> @t169 @t43)))) % 0.59/1.30 (assume @p83 (forall @t64 (=> @t159 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t171) @t171)))) % 0.59/1.30 (assume @p84 (forall @t64 (=> @t159 (= @t173 @t172)))) % 0.59/1.30 (assume @p85 (forall @t59 (=> @t159 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t57) @t158)))) % 0.59/1.30 (assume @p86 (forall @t59 (=> @t19 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t88) @t88)))) % 0.59/1.30 (assume @p87 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t174) @t174))) % 0.59/1.30 (assume @p88 @t177) % 0.59/1.30 (assume @p89 (forall @t64 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 (tptp.c_Groups_Oabs__class_Oabs @t13 @t67) @t171)))) % 0.59/1.30 (assume @p90 (forall @t64 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t178 @t172)))) % 0.59/1.30 (assume @p91 (forall @t64 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t178 @t173)))) % 0.59/1.30 (assume @p92 (forall @t64 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 (tptp.c_Groups_Oabs__class_Oabs @t13 @t178) @t173)))) % 0.59/1.30 (assume @p93 (forall @t64 (=> @t159 (=> @t169 @t179)))) % 0.59/1.30 (assume @p94 (forall @t64 (=> @t159 (=> @t43 (=> @t179 @t169))))) % 0.59/1.30 (assume @p95 (forall @t71 (=> @t159 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t180 @t26) (and @t28 @t80))))) % 0.59/1.30 (assume @p96 (forall @t59 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t57 @t158)))) % 0.59/1.30 (assume @p97 (forall @t163 (= @t181 @t162))) % 0.59/1.30 (assume @p98 (forall (@list @t182 @t155) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t155 @t182) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t155 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t182))))) % 0.59/1.30 (assume @p99 (forall @t64 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t173 @t171)))) % 0.59/1.30 (assume @p100 (forall @t52 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 (tptp.c_Groups_Oabs__class_Oabs @t13 @t95) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_Groups_Oabs__class_Oabs @t13 @t93) (tptp.c_Groups_Oabs__class_Oabs @t13 @t92)))))) % 0.59/1.30 (assume @p101 (forall (@list @t37 @t40 @t13) (=> @t154 (= @t41 @t47)))) % 0.59/1.30 (assume @p102 (forall @t184 (=> @t154 (= @t183 (tptp.c_Groups_Oplus__class_Oplus @t13 @t37 (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t49)))))) % 0.59/1.30 (assume @p103 (forall @t184 (=> @t154 (= @t183 (tptp.c_Groups_Oplus__class_Oplus @t13 @t41 @t49))))) % 0.59/1.30 (assume @p104 (forall @t45 (=> @t154 @t134))) % 0.59/1.30 (assume @p105 (forall @t45 (=> @t154 (= @t133 (tptp.c_Groups_Oplus__class_Oplus @t13 @t41 @t38))))) % 0.59/1.30 (assume @p106 (forall (@list @t40 @t155) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t185) @t156))) % 0.59/1.30 (assume @p107 (forall @t59 (=> @t159 (=> @t188 @t186)))) % 0.59/1.30 (assume @p108 (forall @t59 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t158) @t187)))) % 0.59/1.30 (assume @p109 (forall @t191 (=> @t19 (=> @t190 (=> @t189 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t155 @t182))))))) % 0.59/1.30 (assume @p110 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t192) @t174))) % 0.59/1.30 (assume @p111 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t193) @t174))) % 0.59/1.30 (assume @p112 (forall @t197 (=> @t19 (= (tptp.c_Groups_Ominus__class_Ominus @t13 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t15 @t12) @t196) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t195 @t194) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t195 @t38)) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t194)))))) % 0.59/1.30 (assume @p113 (forall (@list @t13 @t1 @t2 @t100) (=> @t103 (=> @t126 @t102)))) % 0.59/1.30 (assume @p114 (forall (@list @t26 @t27 @t119 @t99 @t199 @t100 @t203 @t13) (=> @t208 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t203 (tptp.hAPP (tptp.hAPP @t199 @t99) @t119) @t204) (tptp.c_Groups_Oplus__class_Oplus @t203 (tptp.c_Groups_Oplus__class_Oplus @t203 (tptp.hAPP @t202 @t198) (tptp.hAPP @t202 @t26)) (tptp.hAPP @t200 @t198))))))) % 0.59/1.30 (assume @p115 (forall @t163 (= (tptp.c_RealVector_Odist__class_Odist tptp.tc_RealDef_Oreal @t15 @t12) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t181)))) % 0.59/1.30 (assume @p116 (forall @t163 (=> (= @t193 @t210) (=> (= @t192 @t209) @t107)))) % 0.59/1.30 (assume @p117 (forall @t211 (= @t120 (and (= (tptp.c_Complex_ORe @t99) (tptp.c_Complex_ORe @t119)) (= (tptp.c_Complex_OIm @t99) (tptp.c_Complex_OIm @t119)))))) % 0.59/1.30 (assume @p118 (forall @t214 (= (tptp.c_Complex_Orcis @t213 @t40) @t212))) % 0.59/1.30 (assume @p119 (forall @t217 (= @t216 (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_RealDef_Oreal @t155 @t193)))) % 0.59/1.30 (assume @p120 (forall @t217 (= @t218 (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_RealDef_Oreal @t155 @t192)))) % 0.59/1.30 (assume @p121 (= (tptp.c_Complex_ORe @t212) @t213)) % 0.59/1.30 (assume @p122 (= (tptp.c_Complex_OIm @t212) @t213)) % 0.59/1.30 (assume @p123 (forall @t64 (=> @t223 (=> @t222 @t221)))) % 0.59/1.30 (assume @p124 (forall @t64 (=> @t223 (=> @t227 @t226)))) % 0.59/1.30 (assume @p125 (forall @t232 (=> @t231 @t230))) % 0.59/1.30 (assume @p126 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t229) @t233)))) % 0.59/1.30 (assume @p127 (forall @t20 (=> @t98 (=> @t237 (=> @t235 @t234))))) % 0.59/1.30 (assume @p128 (forall @t20 (=> @t21 (=> @t236 (not @t234))))) % 0.59/1.30 (assume @p129 (forall @t106 (=> @t105 (=> @t234 @t239)))) % 0.59/1.30 (assume @p130 (forall @t110 (=> @t21 (=> @t236 @t241)))) % 0.59/1.30 (assume @p131 (forall @t114 (=> @t105 (=> @t243 (=> @t112 @t242))))) % 0.59/1.30 (assume @p132 (forall @t45 (=> @t116 (=> @t245 (=> @t112 @t244))))) % 0.59/1.30 (assume @p133 (forall @t45 (=> @t105 (=> @t117 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t37 @t38) @t242))))) % 0.59/1.30 (assume @p134 (forall @t45 (=> @t116 (=> @t117 (=> @t246 @t244))))) % 0.59/1.30 (assume @p135 (forall @t247 (=> @t105 (=> @t243 (not @t245))))) % 0.59/1.30 (assume @p136 (forall @t64 (=> @t21 (=> @t245 (not @t243))))) % 0.59/1.30 (assume @p137 (forall @t20 (=> @t105 (=> @t236 (not (= @t12 @t15)))))) % 0.59/1.30 (assume @p138 (forall @t20 (=> @t105 (=> @t236 @t235)))) % 0.59/1.30 (assume @p139 (forall @t20 (=> @t98 @t248))) % 0.59/1.30 (assume @p140 (forall @t124 (=> @t98 (=> (not @t252) @t251)))) % 0.59/1.30 (assume @p141 (forall (@list @t38 @t40 @t15 @t13) (=> @t256 (=> (not @t255) (=> (= @t254 @t253) @t117))))) % 0.59/1.30 (assume @p142 (forall @t258 (=> @t256 (=> (not (= @t40 @t213)) (=> (= @t254 @t257) @t107))))) % 0.59/1.30 (assume @p143 (forall (@list @t26 @t27 @t160 @t199 @t100 @t203 @t13) (=> @t208 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t199 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t160 @t27)) @t26) @t259))))) % 0.59/1.30 (assume @p144 (forall (@list @t26 @t160 @t27 @t199 @t100 @t203 @t13) (=> @t208 (=> @t205 (= (tptp.hAPP @t200 (tptp.c_RealVector_OscaleR__class_OscaleR @t100 @t160 @t26)) @t259))))) % 0.59/1.30 (assume @p145 (forall (@list @t27 @t199 @t203 @t13 @t100) (=> @t261 (=> @t205 (= (tptp.hAPP @t200 (tptp.c_Groups_Ozero__class_Ozero @t100)) @t260))))) % 0.59/1.30 (assume @p146 (forall (@list @t26 @t199 @t203 @t13 @t100) (=> @t261 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t199 @t187) @t26) @t260))))) % 0.59/1.30 (assume @p147 (forall (@list @t26 @t99 @t27 @t13) (=> @t256 (= (= @t263 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t26 @t99)) (or @t72 @t262))))) % 0.59/1.30 (assume @p148 (forall (@list @t119 @t99 @t27 @t13) (=> @t256 (= (= @t263 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t27 @t119)) (or @t120 @t264))))) % 0.59/1.30 (assume @p149 (forall (@list @t265 @t15 @t155 @t13) (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_RealDef_Oreal @t155 @t15) @t265) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t266))))) % 0.59/1.30 (assume @p150 (forall @t268 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_RealDef_Oreal @t155 @t40) @t38) @t267)))) % 0.59/1.30 (assume @p151 (forall (@list @t99 @t27 @t13) (=> @t256 (= (= @t263 @t187) (or @t264 @t262))))) % 0.59/1.30 (assume @p152 (forall @t125 (=> @t270 (= (= @t269 @t213) @t120)))) % 0.59/1.30 (assume @p153 (forall (@list @t15 @t155 @t271 @t13) (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t271 @t272) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t271 @t15)))))) % 0.59/1.30 (assume @p154 (forall @t274 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t273) @t267)))) % 0.59/1.30 (assume @p155 (forall @t276 (=> @t256 (= @t275 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t38 @t254))))) % 0.59/1.30 (assume @p156 (forall @t20 (=> @t98 (or @t236 @t107 @t234)))) % 0.59/1.30 (assume @p157 (forall @t20 (=> @t270 (= @t277 (tptp.c_RealVector_Odist__class_Odist @t13 @t12 @t15))))) % 0.59/1.30 (assume @p158 (forall @t22 (=> @t270 (= (tptp.c_RealVector_Odist__class_Odist @t13 @t15 @t15) @t213)))) % 0.59/1.30 (assume @p159 (forall @t59 (=> @t19 @t278))) % 0.59/1.30 (assume @p160 (forall @t59 (=> @t256 @t278))) % 0.59/1.30 (assume @p161 (forall @t125 (=> @t270 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t269) @t279)))) % 0.59/1.30 (assume @p162 (forall @t282 (=> @t19 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t281) @t280)))) % 0.59/1.30 (assume @p163 (forall @t282 (=> (tptp.class_Groups_Ozero @t13) (= (= @t187 @t99) @t262)))) % 0.59/1.30 (assume @p164 (forall @t22 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t213 @t15) @t187)))) % 0.59/1.30 (assume @p165 (forall @t283 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t213 @t38) @t187)))) % 0.59/1.30 (assume @p166 (forall @t125 (=> @t98 (= @t250 (or @t252 @t120))))) % 0.59/1.30 (assume @p167 (forall @t125 (=> @t98 (= @t279 (or @t249 @t252))))) % 0.59/1.30 (assume @p168 (forall @t20 (=> @t270 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t277 @t213))))) % 0.59/1.30 (assume @p169 (forall @t22 (=> @t21 (not (tptp.c_Orderings_Oord__class_Oless @t13 @t15 @t15))))) % 0.59/1.30 (assume @p170 (forall @t71 (=> @t78 (= @t284 (tptp.c_Orderings_Oord__class_Oless @t13 @t75 @t187))))) % 0.59/1.30 (assume @p171 (forall @t232 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t68) @t228)))) % 0.59/1.30 (assume @p172 (forall @t232 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t68 @t187) @t233)))) % 0.59/1.30 (assume @p173 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t68 @t27) @t233)))) % 0.59/1.30 (assume @p174 (forall @t59 (=> @t159 (=> @t227 @t285)))) % 0.59/1.30 (assume @p175 (forall @t232 (=> @t159 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t180) (not @t286))))) % 0.59/1.30 (assume @p176 (forall @t59 (=> @t159 (not (tptp.c_Orderings_Oord__class_Oless @t13 @t158 @t187))))) % 0.59/1.30 (assume @p177 (forall @t22 (=> @t19 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t213))))) % 0.59/1.30 (assume @p178 (forall @t20 (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t277)))) % 0.59/1.30 (assume @p179 (forall @t125 (=> @t270 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t269 @t213) @t120)))) % 0.59/1.30 (assume @p180 (forall @t211 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t288 @t213) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t119 @t287)))) % 0.59/1.30 (assume @p181 (forall @t211 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t288) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t119)))) % 0.59/1.30 (assume @p182 (forall @t289 (=> @t19 (= (tptp.c_RealVector_Onorm__class_Onorm @t13 @t187) @t213)))) % 0.59/1.30 (assume @p183 (forall @t282 (=> @t19 (= (= @t281 @t213) @t262)))) % 0.59/1.30 (assume @p184 (forall @t22 (=> @t19 (= @t16 (tptp.c_RealVector_Odist__class_Odist @t13 @t15 @t187))))) % 0.59/1.30 (assume @p185 (forall @t157 (and (=> @t290 (= @t156 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t155))) (=> (not @t290) (= @t156 @t155))))) % 0.59/1.30 (assume @p186 (forall @t214 (and (=> @t292 (= @t291 @t293)) (=> (not @t292) (= @t291 @t40))))) % 0.59/1.30 (assume @p187 (forall @t64 (=> @t223 (=> @t188 @t221)))) % 0.59/1.30 (assume @p188 (forall @t64 (=> @t223 (=> @t222 (=> @t294 @t219))))) % 0.59/1.30 (assume @p189 (forall @t45 (=> @t223 (=> @t297 @t296)))) % 0.59/1.30 (assume @p190 (forall @t45 (=> @t223 (=> @t227 (=> @t118 @t295))))) % 0.59/1.30 (assume @p191 (forall @t64 (=> @t223 (=> @t297 @t226)))) % 0.59/1.30 (assume @p192 (forall @t64 (=> @t223 (=> @t227 (=> @t298 @t224))))) % 0.59/1.30 (assume @p193 (forall @t59 (=> @t159 @t299))) % 0.59/1.30 (assume @p194 (forall @t59 (=> (tptp.class_Groups_Oabs__if @t13) (and @t299 (=> (not @t222) @t285))))) % 0.59/1.30 (assume @p195 (forall @t258 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t17) (tptp.c_Groups_Oplus__class_Oplus @t13 @t254 @t257))))) % 0.59/1.30 (assume @p196 (forall @t303 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t302) (tptp.c_Groups_Oplus__class_Oplus @t13 @t196 @t301))))) % 0.59/1.30 (assume @p197 (forall @t303 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t304) (tptp.c_Groups_Ominus__class_Ominus @t13 @t196 @t301))))) % 0.59/1.30 (assume @p198 (forall @t258 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t144) (tptp.c_Groups_Ominus__class_Ominus @t13 @t254 @t257))))) % 0.59/1.30 (assume @p199 (forall @t282 (=> @t19 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t281 @t213) @t262)))) % 0.59/1.30 (assume @p200 (forall @t64 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t65) @t305)))) % 0.59/1.30 (assume @p201 (forall @t307 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t40 @t86) @t306)))) % 0.59/1.30 (assume @p202 (forall @t64 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t293 @t38) @t305)))) % 0.59/1.30 (assume @p203 (forall @t307 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t293 @t15) @t306)))) % 0.59/1.30 (assume @p204 (forall (@list @t265 @t15 @t13) (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t161 @t265) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t266))))) % 0.59/1.30 (assume @p205 (forall @t106 (=> @t105 (=> @t96 @t239)))) % 0.59/1.30 (assume @p206 (forall @t110 (=> @t21 (=> @t97 @t241)))) % 0.59/1.30 (assume @p207 (forall @t106 (=> @t105 (=> @t234 (=> @t104 @t238))))) % 0.59/1.30 (assume @p208 (forall @t110 (=> @t21 (=> @t236 (=> @t109 @t240))))) % 0.59/1.30 (assume @p209 (forall @t247 (=> @t105 (=> @t113 (=> @t308 @t243))))) % 0.59/1.30 (assume @p210 (forall @t64 (=> @t105 (=> @t43 (=> @t308 @t245))))) % 0.59/1.30 (assume @p211 (forall @t20 (=> @t105 (=> @t97 (or @t236 @t107))))) % 0.59/1.30 (assume @p212 (forall @t125 (=> @t98 (=> @t121 @t251)))) % 0.59/1.30 (assume @p213 (forall @t20 (=> @t21 (=> @t236 @t97)))) % 0.59/1.30 (assume @p214 (forall @t108 (=> @t98 (=> @t96 @t237)))) % 0.59/1.30 (assume @p215 (forall @t64 (=> @t105 (=> @t308 (=> @t113 @t243))))) % 0.59/1.30 (assume @p216 (forall @t64 (=> @t105 (=> @t308 (=> @t43 @t245))))) % 0.59/1.30 (assume @p217 (forall @t125 (=> @t98 (=> @t250 @t122)))) % 0.59/1.30 (assume @p218 (forall @t108 (=> @t98 (=> (not @t96) @t236)))) % 0.59/1.30 (assume @p219 (forall @t20 (=> @t98 (=> @t237 @t96)))) % 0.59/1.30 (assume @p220 (forall @t125 (=> @t105 (= @t121 (or @t249 @t120))))) % 0.59/1.30 (assume @p221 (forall @t125 (=> @t21 (= @t249 (and @t121 (not @t123)))))) % 0.59/1.30 (assume @p222 (forall @t125 (=> @t105 (= @t249 (and @t121 @t279))))) % 0.59/1.30 (assume @p223 (forall @t20 (=> @t98 (or @t97 @t234)))) % 0.59/1.30 (assume @p224 (forall @t125 (=> @t98 (= (not @t121) @t252)))) % 0.59/1.30 (assume @p225 (forall @t125 (=> @t98 (= @t250 @t123)))) % 0.59/1.30 (assume @p226 (forall @t163 (= (tptp.c_Complex_ORe @t176) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t193 @t210)))) % 0.59/1.30 (assume @p227 (forall @t54 (=> @t32 (=> @t309 @t245)))) % 0.59/1.30 (assume @p228 (forall @t53 (=> @t32 (=> @t310 @t245)))) % 0.59/1.30 (assume @p229 (forall @t52 (=> @t314 (=> @t245 @t313)))) % 0.59/1.30 (assume @p230 (forall @t45 (=> @t314 (=> @t245 @t309)))) % 0.59/1.30 (assume @p231 (forall @t45 (=> @t314 (=> @t245 @t310)))) % 0.59/1.30 (assume @p232 (forall @t36 (=> @t32 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t35 @t34) @t284)))) % 0.59/1.30 (assume @p233 (forall @t33 (=> @t32 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t31 @t30) @t284)))) % 0.59/1.30 (assume @p234 (forall @t163 (= (tptp.c_Complex_OIm @t176) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t192 @t209)))) % 0.59/1.30 (assume @p235 (forall @t77 (=> @t78 (=> @t76 (= @t284 (tptp.c_Orderings_Oord__class_Oless @t13 @t29 @t73)))))) % 0.59/1.30 (assume @p236 (forall @t71 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t27 @t69) (tptp.c_Orderings_Oord__class_Oless @t13 @t26 @t68))))) % 0.59/1.30 (assume @p237 (forall @t71 (=> @t78 (= @t315 (tptp.c_Orderings_Oord__class_Oless @t13 @t69 @t27))))) % 0.59/1.30 (assume @p238 (forall @t79 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t69 @t68) @t284)))) % 0.59/1.30 (assume @p239 (forall @t211 (= @t317 (or @t316 @t120)))) % 0.59/1.30 (assume @p240 (forall @t211 (= @t316 (and @t317 @t279)))) % 0.59/1.30 (assume @p241 (forall @t59 (=> @t319 @t318))) % 0.59/1.30 (assume @p242 (forall @t59 (=> @t320 @t318))) % 0.59/1.30 (assume @p243 (forall @t232 (=> @t231 (= (= @t187 @t229) @t286)))) % 0.59/1.30 (assume @p244 (forall @t59 (=> @t319 @t321))) % 0.59/1.30 (assume @p245 (forall @t59 (=> @t320 @t321))) % 0.59/1.30 (assume @p246 (forall @t79 (=> @t322 (= (= @t26 @t131) @t286)))) % 0.59/1.30 (assume @p247 (forall @t59 (=> @t154 @t318))) % 0.59/1.30 (assume @p248 (forall @t59 (=> @t154 @t321))) % 0.59/1.30 (assume @p249 (forall @t59 (=> @t58 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t187) @t40)))) % 0.59/1.30 (assume @p250 (forall @t59 (=> @t58 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t40) @t187)))) % 0.59/1.30 (assume @p251 (forall @t71 (=> @t63 (= @t72 @t323)))) % 0.59/1.30 (assume @p252 (forall @t71 (=> @t58 (= @t323 @t72)))) % 0.59/1.30 (assume @p253 (forall @t289 (=> @t58 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t187) @t187)))) % 0.59/1.30 (assume @p254 (forall @t232 (=> @t58 (= (= @t187 @t68) (= @t187 @t27))))) % 0.59/1.30 (assume @p255 (forall @t232 (=> @t231 (= (= @t27 @t68) @t286)))) % 0.59/1.30 (assume @p256 (forall @t232 (=> @t58 (= (= @t68 @t187) @t286)))) % 0.59/1.30 (assume @p257 (forall @t232 (=> @t231 (= (= @t68 @t27) @t286)))) % 0.59/1.30 (assume @p258 (forall @t232 (=> @t159 (= (= @t180 @t187) @t286)))) % 0.59/1.30 (assume @p259 (forall @t289 (=> @t159 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t187) @t187)))) % 0.59/1.30 (assume @p260 (forall @t211 (= (= @t288 @t213) (= @t119 @t287)))) % 0.59/1.30 (assume @p261 (forall @t324 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t27)) @t213) (= @t99 @t27)))) % 0.59/1.30 (assume @p262 (forall @t175 (= (tptp.c_Complex_ORe @t326) @t325))) % 0.59/1.30 (assume @p263 (forall @t329 (=> @t208 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t199 (tptp.c_Groups_Oplus__class_Oplus @t13 @t27 @t327)) @t26) (tptp.c_Groups_Oplus__class_Oplus @t203 @t204 @t328)))))) % 0.59/1.30 (assume @p264 (forall @t332 (=> @t208 (=> @t205 (= (tptp.hAPP @t200 (tptp.c_Groups_Oplus__class_Oplus @t100 @t26 @t330)) (tptp.c_Groups_Oplus__class_Oplus @t203 @t204 @t331)))))) % 0.59/1.30 (assume @p265 (forall @t175 (= (tptp.c_Complex_OIm @t326) @t333))) % 0.59/1.30 (assume @p266 (forall @t332 (=> @t208 (=> @t205 (= (tptp.hAPP @t200 (tptp.c_Groups_Ominus__class_Ominus @t100 @t26 @t330)) (tptp.c_Groups_Ominus__class_Ominus @t203 @t204 @t331)))))) % 0.59/1.30 (assume @p267 (forall @t329 (=> @t208 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t199 (tptp.c_Groups_Ominus__class_Ominus @t13 @t27 @t327)) @t26) (tptp.c_Groups_Ominus__class_Ominus @t203 @t204 @t328)))))) % 0.59/1.30 (assume @p268 (forall @t335 (=> @t208 (=> @t205 (= (tptp.hAPP @t200 (tptp.c_Groups_Ouminus__class_Ouminus @t100 @t26)) @t334))))) % 0.59/1.30 (assume @p269 (forall @t335 (=> @t208 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t199 @t68) @t26) @t334))))) % 0.59/1.30 (assume @p270 (forall @t337 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t168 @t265) (tptp.c_Groups_Oplus__class_Oplus @t13 @t266 @t336))))) % 0.59/1.30 (assume @p271 (forall @t340 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t338) @t38) (tptp.c_Groups_Oplus__class_Oplus @t13 @t196 @t339))))) % 0.59/1.30 (assume @p272 (forall @t276 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t341 @t15) (tptp.c_Groups_Oplus__class_Oplus @t13 @t254 @t253))))) % 0.59/1.30 (assume @p273 (forall @t276 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t40 @t38) @t15) (tptp.c_Groups_Ominus__class_Ominus @t13 @t254 @t253))))) % 0.59/1.30 (assume @p274 (forall @t340 (=> @t19 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t40 @t338) @t38) (tptp.c_Groups_Ominus__class_Ominus @t13 @t196 @t339))))) % 0.59/1.30 (assume @p275 (forall @t337 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t181 @t265) (tptp.c_Groups_Ominus__class_Ominus @t13 @t266 @t336))))) % 0.59/1.30 (assume @p276 (forall @t52 (=> @t314 (=> @t43 @t313)))) % 0.59/1.30 (assume @p277 (forall @t52 (=> @t314 (=> @t245 (=> @t51 @t311))))) % 0.59/1.30 (assume @p278 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t193 @t174))) % 0.59/1.30 (assume @p279 (forall @t64 (=> @t223 (=> @t188 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t67 @t187)))))) % 0.59/1.30 (assume @p280 (forall (@list @t40 @t38 @t37 @t13) (=> @t223 (=> @t343 (=> @t113 @t342))))) % 0.59/1.30 (assume @p281 (forall @t45 (=> @t223 (=> @t297 (=> @t118 @t342))))) % 0.59/1.30 (assume @p282 (forall @t125 (=> @t223 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t99) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t119) (= @t346 @t345)))))) % 0.59/1.30 (assume @p283 (forall @t64 (=> @t223 (=> @t297 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t67)))))) % 0.59/1.30 (assume @p284 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t229 @t187) @t347)))) % 0.59/1.30 (assume @p285 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t229) @t348)))) % 0.59/1.30 (assume @p286 (forall @t71 (=> @t78 (= @t28 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t75 @t187))))) % 0.59/1.30 (assume @p287 (forall @t232 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t68) @t347)))) % 0.59/1.30 (assume @p288 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t27 @t68) @t347)))) % 0.59/1.30 (assume @p289 (forall @t232 (=> @t78 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t68 @t187) @t348)))) % 0.59/1.30 (assume @p290 (forall @t232 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t68 @t27) @t348)))) % 0.59/1.30 (assume @p291 (forall @t59 (=> @t58 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t57) @t187)))) % 0.59/1.30 (assume @p292 (forall @t71 (=> @t58 (= @t70 (= @t132 @t187))))) % 0.59/1.30 (assume @p293 (forall @t59 (=> @t58 @t349))) % 0.59/1.30 (assume @p294 (forall @t59 (=> @t63 @t349))) % 0.59/1.30 (assume @p295 (forall @t125 (=> @t58 (= @t346 (= @t119 @t149))))) % 0.59/1.30 (assume @p296 (forall @t64 (=> @t58 (=> (= @t67 @t187) (= @t57 @t38))))) % 0.59/1.30 (assume @p297 (forall @t59 (=> @t58 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t187 @t40) @t57)))) % 0.59/1.30 (assume @p298 (forall @t59 (=> @t159 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t158)))) % 0.59/1.30 (assume @p299 (forall @t232 (=> @t159 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t180 @t187) @t286)))) % 0.59/1.30 (assume @p300 (forall @t59 (=> @t159 (=> @t297 @t285)))) % 0.59/1.30 (assume @p301 (forall @t163 (= (tptp.c_Complex_ORe @t351) @t350))) % 0.59/1.30 (assume @p302 (forall @t163 (= (tptp.c_Complex_OIm @t351) @t352))) % 0.59/1.30 (assume @p303 (forall @t20 (=> (tptp.class_RealVector_Odist__norm @t13) (= @t277 (tptp.c_RealVector_Onorm__class_Onorm @t13 @t144))))) % 0.59/1.30 (assume @p304 (forall @t22 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t16)))) % 0.59/1.30 (assume @p305 (forall @t211 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t288 @t213) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t119 @t287)))) % 0.59/1.30 (assume @p306 (forall @t211 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t288) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t287 @t119)))) % 0.59/1.30 (assume @p307 (forall (@list @t12 @t23 @t15 @t13) (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t354 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t277 @t353))))) % 0.59/1.30 (assume @p308 (forall @t110 (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t277 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t354 @t353))))) % 0.59/1.30 (assume @p309 (forall (@list @t40 @t12 @t15 @t13) (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t277 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Odist__class_Odist @t13 @t40 @t15) (tptp.c_RealVector_Odist__class_Odist @t13 @t40 @t12)))))) % 0.59/1.30 (assume @p310 (forall @t211 (= @t317 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t99 @t119) @t213)))) % 0.59/1.30 (assume @p311 (forall (@list @t160 @t27 @t99 @t13) (=> @t355 (= (tptp.c_Orderings_Oord__class_Oless @t13 (tptp.c_Groups_Oabs__class_Oabs @t13 @t201) @t160) (and (tptp.c_Orderings_Oord__class_Oless @t13 (tptp.c_Groups_Ominus__class_Ominus @t13 @t27 @t160) @t99) (tptp.c_Orderings_Oord__class_Oless @t13 @t99 (tptp.c_Groups_Oplus__class_Oplus @t13 @t27 @t160))))))) % 0.59/1.30 (assume @p312 (forall @t71 (=> @t355 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t180 @t26) (and @t284 @t315))))) % 0.59/1.30 (assume @p313 (forall @t232 (=> @t355 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t27 @t68) @t228)))) % 0.59/1.30 (assume @p314 (forall @t45 (=> @t356 (=> @t227 @t296)))) % 0.59/1.30 (assume @p315 (forall @t232 (=> @t355 @t230))) % 0.59/1.30 (assume @p316 (forall @t232 (=> @t231 (= (= @t229 @t187) @t286)))) % 0.59/1.30 (assume @p317 (forall @t365 (=> @t364 (=> @t363 (exists @t362 (and @t361 (forall @t360 (=> @t359 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t357) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t357 @t38)))))))))) % 0.59/1.30 (assume @p318 (forall @t175 (= @t326 (tptp.c_Complex_Ocomplex_OComplex @t325 @t333)))) % 0.59/1.30 (assume @p319 (forall @t163 (= @t351 (tptp.c_Complex_Ocomplex_OComplex @t350 @t352)))) % 0.59/1.30 (assume @p320 (forall @t368 (= (= @t367 @t212) (and @t264 @t366)))) % 0.59/1.30 (assume @p321 (= @t212 (tptp.c_Complex_Ocomplex_OComplex @t213 @t213))) % 0.59/1.30 (assume @p322 (forall (@list @t369 @t371 @t370 @t372) (= (= @t373 (tptp.c_Complex_Ocomplex_OComplex @t371 @t369)) (and (= @t372 @t371) (= @t370 @t369))))) % 0.59/1.30 (assume @p323 (forall @t127 (=> @t103 (= (tptp.c_Orderings_Oord__class_Oless @t101 @t2 @t1) (and @t102 (not (tptp.c_Orderings_Oord__class_Oless__eq @t101 @t1 @t2))))))) % 0.59/1.30 (assume @p324 (forall @t163 (= (tptp.c_Complex_ORe @t374) @t15))) % 0.59/1.30 (assume @p325 (forall @t163 (= (tptp.c_Complex_OIm @t374) @t12))) % 0.59/1.30 (assume @p326 (forall @t375 (= (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Complex_ORe @t23) (tptp.c_Complex_OIm @t23)) @t23))) % 0.59/1.30 (assume @p327 (forall @t378 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t377 @t376) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t37) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t49))))) % 0.59/1.30 (assume @p328 (forall @t380 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t377) (tptp.c_Complex_Ocomplex_OComplex @t293 @t379)))) % 0.59/1.30 (assume @p329 (forall @t378 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t377 @t376) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t40 @t37) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t49))))) % 0.59/1.30 (assume @p330 (forall @t163 (= (tptp.c_RealVector_Odist__class_Odist tptp.tc_Complex_Ocomplex @t15 @t12) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t176)))) % 0.59/1.30 (assume @p331 (forall @t20 (=> @t355 @t248))) % 0.59/1.30 (assume @p332 (forall @t385 (= (tptp.c_Complex_Ocomplex_Ocomplex__size @t384) @t381))) % 0.59/1.30 (assume @p333 (forall @t388 (= (tptp.c_Complex_Ocomplex_Ocomplex__rec @t13 @t386 @t373) @t387))) % 0.59/1.30 (assume @p334 (forall @t388 (= (tptp.c_Complex_Ocomplex_Ocomplex__case @t13 @t386 @t373) @t387))) % 0.59/1.30 (assume @p335 (forall @t385 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Complex_Ocomplex @t384) @t381))) % 0.59/1.30 (assume @p336 (forall @t365 (=> @t364 (=> @t363 (exists @t362 (and @t361 (forall @t360 (=> @t359 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t357) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t357 @t38)))))))))) % 0.59/1.30 (assume @p337 (forall @t217 (= @t215 (tptp.c_Complex_Ocomplex_OComplex @t392 @t391)))) % 0.59/1.30 (assume @p338 (forall @t20 (=> @t398 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t397 @t393)))) % 0.59/1.30 (assume @p339 (forall @t191 (=> @t398 (=> @t190 (=> @t189 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t397 (tptp.hAPP @t390 @t182))))))) % 0.59/1.30 (assume @p340 (forall @t410 (=> @t154 (= @t409 (tptp.hAPP @t405 (tptp.hAPP @t401 @t399)))))) % 0.59/1.30 (assume @p341 (forall @t410 (=> @t154 (= @t409 (tptp.hAPP @t406 (tptp.hAPP @t408 @t399)))))) % 0.59/1.30 (assume @p342 (forall @t410 (=> @t154 (= @t409 (tptp.hAPP @t404 (tptp.hAPP @t401 @t407)))))) % 0.59/1.30 (assume @p343 (forall @t412 (=> @t154 (= @t411 (tptp.hAPP @t405 @t400))))) % 0.59/1.30 (assume @p344 (forall @t412 (=> @t154 (= @t411 (tptp.hAPP @t404 (tptp.hAPP @t401 @t402)))))) % 0.59/1.30 (assume @p345 (forall @t414 (=> @t154 (= @t413 (tptp.hAPP @t405 @t399))))) % 0.59/1.30 (assume @p346 (forall @t414 (=> @t154 (= @t413 (tptp.hAPP @t406 (tptp.hAPP @t404 @t399)))))) % 0.59/1.30 (assume @p347 (forall @t64 (=> @t417 (= (tptp.hAPP @t415 @t416) @t416)))) % 0.59/1.30 (assume @p348 (forall @t64 (=> @t154 (= @t416 @t419)))) % 0.59/1.30 (assume @p349 (forall @t22 (=> @t417 (= @t420 @t15)))) % 0.59/1.30 (assume @p350 (forall @t59 (=> @t417 (= @t421 @t40)))) % 0.59/1.30 (assume @p351 (forall @t427 (= (tptp.hAPP (tptp.hAPP @t389 (tptp.hAPP @t426 @t423)) @t422) (tptp.hAPP @t426 (tptp.hAPP @t424 @t422))))) % 0.59/1.30 (assume @p352 (forall @t45 (=> (tptp.class_Groups_Oab__semigroup__mult @t13) (= (tptp.hAPP (tptp.hAPP @t394 @t416) @t37) (tptp.hAPP @t415 @t428))))) % 0.59/1.30 (assume @p353 (forall @t138 (= (tptp.hAPP @t429 @t55) (tptp.hAPP (tptp.hAPP @t389 @t55) @t23)))) % 0.59/1.30 (assume @p354 (forall @t20 (=> @t430 (= @t397 @t393)))) % 0.59/1.30 (assume @p355 (forall @t59 (=> @t154 @t431))) % 0.59/1.30 (assume @p356 (forall @t59 (=> @t154 @t433))) % 0.59/1.30 (assume @p357 (forall @t22 (=> @t398 (= (tptp.hAPP @t395 @t187) @t187)))) % 0.59/1.30 (assume @p358 (forall @t59 (=> @t398 @t431))) % 0.59/1.30 (assume @p359 (forall @t434 (=> @t398 (= (tptp.hAPP @t432 @t12) @t187)))) % 0.59/1.30 (assume @p360 (forall @t283 (=> @t398 (= (tptp.hAPP @t432 @t38) @t187)))) % 0.59/1.30 (assume @p361 (forall @t64 (=> @t438 (=> @t437 (or @t436 @t435))))) % 0.59/1.30 (assume @p362 (forall @t64 (=> @t438 (=> @t439 (=> (not @t435) (not @t437)))))) % 0.59/1.30 (assume @p363 (forall @t71 (=> (tptp.class_Rings_Oring__no__zero__divisors @t13) (= (= @t441 @t187) (or @t286 (= @t26 @t187)))))) % 0.59/1.30 (assume @p364 (forall @t59 (=> @t442 @t431))) % 0.59/1.30 (assume @p365 (forall @t59 (=> @t442 @t433))) % 0.59/1.30 (assume @p366 (forall @t447 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 @t17) @t443) (tptp.c_Groups_Oplus__class_Oplus @t13 @t446 @t445))))) % 0.59/1.30 (assume @p367 (forall @t340 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t338)) @t38) (tptp.c_Groups_Oplus__class_Oplus @t13 @t416 @t448))))) % 0.59/1.30 (assume @p368 (forall @t452 (=> @t398 (= (tptp.hAPP @t449 @t17) (tptp.c_Groups_Oplus__class_Oplus @t13 @t451 @t450))))) % 0.59/1.30 (assume @p369 (forall @t303 (=> @t398 (= (tptp.hAPP @t415 @t302) (tptp.c_Groups_Oplus__class_Oplus @t13 @t416 @t453))))) % 0.59/1.30 (assume @p370 (forall (@list @t454 @t99 @t119 @t455 @t13) (=> @t322 (= (= (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t457 @t119) (tptp.hAPP @t456 @t454)) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t457 @t454) (tptp.hAPP @t456 @t119))) (or (= @t455 @t99) (= @t119 @t454)))))) % 0.59/1.30 (assume @p371 (forall (@list @t38 @t164 @t40 @t13) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t459 (tptp.hAPP @t418 @t164)) (tptp.hAPP @t458 @t164))))) % 0.59/1.30 (assume @p372 (forall @t45 (=> @t154 @t461))) % 0.59/1.30 (assume @p373 (forall @t77 (=> @t322 (= (and (not @t72) (not @t74)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t464 (tptp.hAPP @t462 @t73)) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t440 @t73) @t463))))))) % 0.59/1.30 (assume @p374 (forall @t110 (=> @t154 (= (tptp.hAPP @t395 (tptp.c_Groups_Oplus__class_Oplus @t13 @t12 @t23)) (tptp.c_Groups_Oplus__class_Oplus @t13 @t396 (tptp.hAPP @t395 @t23)))))) % 0.59/1.30 (assume @p375 (forall @t45 (=> (tptp.class_Rings_Ocomm__semiring @t13) @t461))) % 0.59/1.30 (assume @p376 (forall (@list @t37 @t38 @t465 @t40 @t13) (=> (tptp.class_Rings_Osemiring @t13) (= (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t415 @t465) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t418 @t465) @t37)) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t458 @t465) @t37))))) % 0.59/1.30 (assume @p377 (forall @t303 (=> @t398 (= (tptp.hAPP @t415 @t304) (tptp.c_Groups_Ominus__class_Ominus @t13 @t416 @t453))))) % 0.59/1.30 (assume @p378 (forall @t452 (=> @t398 (= (tptp.hAPP @t449 @t144) (tptp.c_Groups_Ominus__class_Ominus @t13 @t451 @t450))))) % 0.59/1.30 (assume @p379 (forall @t340 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 (tptp.c_Groups_Ominus__class_Ominus @t13 @t40 @t338)) @t38) (tptp.c_Groups_Ominus__class_Ominus @t13 @t416 @t448))))) % 0.59/1.30 (assume @p380 (forall @t447 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 @t144) @t443) (tptp.c_Groups_Ominus__class_Ominus @t13 @t446 @t445))))) % 0.59/1.30 (assume @p381 (forall @t64 (=> @t398 (= @t467 @t466)))) % 0.59/1.30 (assume @p382 (forall (@list @t15 @t265 @t13) (=> @t398 (= (tptp.hAPP @t449 @t86) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t451))))) % 0.59/1.30 (assume @p383 (forall @t64 (=> @t398 (= @t469 @t466)))) % 0.59/1.30 (assume @p384 (forall @t20 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 @t86) @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t396))))) % 0.59/1.30 (assume @p385 (forall @t64 (=> @t470 (= @t466 @t467)))) % 0.59/1.30 (assume @p386 (forall @t64 (=> @t470 (= @t466 @t469)))) % 0.59/1.30 (assume @p387 (forall @t64 (=> @t470 (= @t469 @t467)))) % 0.59/1.30 (assume @p388 (forall @t64 (=> @t470 (= (tptp.hAPP @t468 @t65) @t416)))) % 0.59/1.30 (assume @p389 (forall @t71 (=> (tptp.class_Rings_Oidom @t13) (= (= (tptp.hAPP @t440 @t27) (tptp.hAPP @t462 @t26)) (or @t72 @t70))))) % 0.59/1.30 (assume @p390 (forall @t472 (=> @t471 (= (= (tptp.hAPP (tptp.hAPP @t389 @t27) @t29) (tptp.hAPP (tptp.hAPP @t389 @t26) @t29)) @t72)))) % 0.59/1.30 (assume @p391 (forall @t472 (=> @t471 (= (= (tptp.hAPP @t473 @t27) (tptp.hAPP @t473 @t26)) @t72)))) % 0.59/1.30 (assume @p392 (forall @t64 (=> @t355 @t476))) % 0.59/1.30 (assume @p393 (forall @t59 (=> @t355 (= (tptp.hAPP @t474 @t158) @t421)))) % 0.59/1.30 (assume @p394 (forall (@list @t12 @t15 @t155 @t13) (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 @t272) @t12) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t396))))) % 0.59/1.30 (assume @p395 (forall @t268 (=> @t398 (= (tptp.hAPP (tptp.hAPP @t394 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t40)) @t38) @t477)))) % 0.59/1.30 (assume @p396 (forall @t258 (=> @t479 (= (tptp.hAPP (tptp.hAPP @t394 @t254) @t12) @t478)))) % 0.59/1.30 (assume @p397 (forall (@list @t15 @t155 @t265 @t13) (=> @t398 (= (tptp.hAPP @t449 @t272) (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t155 @t451))))) % 0.59/1.30 (assume @p398 (forall (@list @t12 @t40 @t15 @t13) (=> @t479 (= (tptp.hAPP @t395 @t257) @t478)))) % 0.59/1.30 (assume @p399 (forall @t274 (=> @t398 (= (tptp.hAPP @t415 @t273) @t477)))) % 0.59/1.30 (assume @p400 (forall @t480 (= (tptp.hAPP (tptp.hAPP @t389 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t425 @t423)) @t55) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t426 @t55) (tptp.hAPP @t424 @t55))))) % 0.59/1.30 (assume @p401 (forall @t276 (=> @t256 (= @t275 (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t482 @t15))))) % 0.59/1.30 (assume @p402 (forall @t483 (= (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_RealDef_Oreal @t40 @t15) (tptp.hAPP @t481 @t15)))) % 0.59/1.30 (assume @p403 (forall @t59 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t421)))) % 0.59/1.30 (assume @p404 (forall @t71 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t441) (or (and @t348 @t486) (and @t347 @t485)))))) % 0.59/1.30 (assume @p405 (forall @t71 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t441 @t187) (or (and @t348 @t485) (and @t347 @t486)))))) % 0.59/1.30 (assume @p406 (forall @t64 (=> @t489 (=> @t297 (=> @t298 @t488))))) % 0.59/1.30 (assume @p407 (forall @t64 (=> @t489 (=> @t297 (=> @t294 @t490))))) % 0.59/1.30 (assume @p408 (forall @t64 (=> @t489 (=> @t297 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t419 @t187)))))) % 0.59/1.30 (assume @p409 (forall @t64 (=> @t489 (=> @t188 (=> @t298 @t490))))) % 0.59/1.30 (assume @p410 (forall @t64 (=> @t491 (=> @t188 (=> @t294 @t488))))) % 0.59/1.30 (assume @p411 (forall @t45 (=> @t493 (=> @t43 (=> @t343 @t492))))) % 0.59/1.30 (assume @p412 (forall @t45 (=> @t493 @t498))) % 0.59/1.30 (assume @p413 (forall @t45 (=> (tptp.class_Rings_Oordered__comm__semiring @t13) @t498))) % 0.59/1.30 (assume @p414 (forall @t114 (=> @t491 (=> @t113 (=> @t499 @t492))))) % 0.59/1.30 (assume @p415 (forall @t114 (=> @t491 (=> @t113 (=> @t499 @t497))))) % 0.59/1.30 (assume @p416 (forall @t52 (=> @t493 (=> @t43 (=> @t51 (=> @t297 @t501)))))) % 0.59/1.30 (assume @p417 (forall @t52 (=> @t493 (=> @t43 (=> @t51 (=> @t298 @t501)))))) % 0.59/1.30 (assume @p418 (forall @t64 (=> @t491 (=> (or (and @t297 @t298) (and @t188 @t294)) @t488)))) % 0.59/1.30 (assume @p419 (forall @t64 (=> @t489 (=> (or (and @t297 @t294) (and @t188 @t298)) @t490)))) % 0.59/1.30 (assume @p420 (forall @t59 (=> @t484 (not (tptp.c_Orderings_Oord__class_Oless @t13 @t421 @t187))))) % 0.59/1.30 (assume @p421 (forall @t33 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t464 @t463) @t505)))) % 0.59/1.30 (assume @p422 (forall @t36 (=> @t487 (= @t509 @t505)))) % 0.59/1.30 (assume @p423 (forall @t36 (=> @t487 (=> @t504 (= @t509 @t284))))) % 0.59/1.30 (assume @p424 (forall @t64 (=> @t511 (=> @t227 (=> @t225 @t510))))) % 0.59/1.30 (assume @p425 (forall @t64 (=> @t511 (=> @t227 (=> @t220 @t512))))) % 0.59/1.30 (assume @p426 (forall @t64 (=> @t511 (=> @t227 (=> @t220 (tptp.c_Orderings_Oord__class_Oless @t13 @t419 @t187)))))) % 0.59/1.30 (assume @p427 (forall @t64 (=> @t511 (=> @t510 @t513)))) % 0.59/1.30 (assume @p428 (forall @t247 (=> @t511 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t419) @t513)))) % 0.59/1.30 (assume @p429 (forall @t36 (=> @t487 (=> @t503 (= @t509 @t502))))) % 0.59/1.30 (assume @p430 (forall @t64 (=> @t511 (=> @t222 (=> @t225 @t512))))) % 0.59/1.30 (assume @p431 (forall @t64 (=> @t487 (=> @t222 (=> @t220 @t510))))) % 0.59/1.30 (assume @p432 (forall @t45 (=> @t511 (=> @t245 (=> @t515 @t514))))) % 0.59/1.30 (assume @p433 (forall @t45 (=> @t511 @t517))) % 0.59/1.30 (assume @p434 (forall @t45 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t13) @t517))) % 0.59/1.30 (assume @p435 (forall @t114 (=> @t487 (=> @t243 (=> @t518 @t514))))) % 0.59/1.30 (assume @p436 (forall @t114 (=> @t487 (=> @t243 (=> @t518 @t516))))) % 0.59/1.30 (assume @p437 (forall (@list @t49 @t37 @t38 @t40 @t155 @t13) (=> @t322 (=> (not (= @t155 @t187)) (=> (and @t117 (not (= @t37 @t49))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 (tptp.hAPP @t519 @t37)) (tptp.c_Groups_Oplus__class_Oplus @t13 @t38 (tptp.hAPP @t519 @t49))))))))) % 0.59/1.30 (assume @p438 (forall @t197 (=> @t470 (= @t522 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t395 @t194) @t521))))) % 0.59/1.30 (assume @p439 (forall @t197 (=> @t398 (= @t522 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t520 @t194) @t521) (tptp.hAPP @t415 @t194)))))) % 0.59/1.30 (assume @p440 (forall @t528 (=> @t470 (= @t527 (= @t29 @t524))))) % 0.59/1.30 (assume @p441 (forall @t528 (=> @t470 (= @t527 (= @t529 @t73))))) % 0.59/1.30 (assume @p442 (forall @t146 (=> @t355 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t158 @t37) (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t170 @t49) (tptp.c_Orderings_Oord__class_Oless @t13 @t475 (tptp.hAPP @t494 @t49))))))) % 0.59/1.30 (assume @p443 (forall (@list @t12 @t15 @t23) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t23) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t429 @t15) (tptp.hAPP @t429 @t12)))))) % 0.59/1.30 (assume @p444 (forall @t163 (=> @t533 (=> @t532 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t531))))) % 0.59/1.30 (assume @p445 (forall @t539 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t537 @t535) @t316)))) % 0.59/1.30 (assume @p446 (forall @t211 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t541 (tptp.hAPP @t534 @t119)) @t213) (and @t540 (= @t119 @t213))))) % 0.59/1.30 (assume @p447 (forall (@list @t15 @t542) (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 @t389 @t542) @t542)) (tptp.hAPP @t530 @t15)))) % 0.59/1.30 (assume @p448 (forall @t217 (= @t216 @t392))) % 0.59/1.30 (assume @p449 (forall @t217 (= @t218 @t391))) % 0.59/1.30 (assume @p450 (forall (@list @t38 @t40 @t155) (= (tptp.c_RealVector_OscaleR__class_OscaleR tptp.tc_Complex_Ocomplex @t155 @t377) (tptp.c_Complex_Ocomplex_OComplex (tptp.hAPP @t390 @t40) (tptp.hAPP @t390 @t38))))) % 0.59/1.30 (assume @p451 (forall @t36 (=> @t487 (=> @t504 (= @t543 @t28))))) % 0.59/1.30 (assume @p452 (forall @t36 (=> @t487 (=> @t503 (= @t543 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t26 @t27)))))) % 0.59/1.30 (assume @p453 (forall @t52 (=> @t511 (=> @t245 (=> @t312 (=> @t225 @t545)))))) % 0.59/1.30 (assume @p454 (forall @t52 (=> @t511 (=> @t245 (=> @t312 (=> @t297 @t545)))))) % 0.59/1.30 (assume @p455 (forall @t52 (=> @t511 (=> @t245 (=> @t51 (=> @t297 (=> @t515 @t544))))))) % 0.59/1.30 (assume @p456 (forall @t52 (=> @t511 (=> @t43 (=> @t312 (=> @t227 @t545)))))) % 0.59/1.30 (assume @p457 (forall @t53 (=> @t548 @t547))) % 0.59/1.30 (assume @p458 (forall @t53 (=> @t511 @t547))) % 0.59/1.30 (assume @p459 (forall @t54 (=> @t548 @t549))) % 0.59/1.30 (assume @p460 (forall @t54 (=> @t511 @t549))) % 0.59/1.30 (assume @p461 (forall @t53 (=> @t511 (=> @t492 @t550)))) % 0.59/1.30 (assume @p462 (forall @t54 (=> @t511 (=> @t497 @t550)))) % 0.59/1.30 (assume @p463 (forall @t528 (=> @t491 (= @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t529 @t73))))) % 0.59/1.30 (assume @p464 (forall @t528 (=> @t491 (= @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t29 @t524))))) % 0.59/1.30 (assume @p465 (forall @t528 (=> @t491 (= @t552 (tptp.c_Orderings_Oord__class_Oless @t13 @t29 @t524))))) % 0.59/1.30 (assume @p466 (forall @t528 (=> @t491 (= @t552 (tptp.c_Orderings_Oord__class_Oless @t13 @t529 @t73))))) % 0.59/1.30 (assume @p467 (forall @t64 (=> (tptp.class_Rings_Oordered__ring__abs @t13) (=> (and (or @t297 @t188) (or @t298 @t294)) @t476)))) % 0.59/1.30 (assume @p468 (forall @t20 (=> @t355 (=> @t554 (= (tptp.hAPP (tptp.hAPP @t394 (tptp.c_Groups_Oabs__class_Oabs @t13 @t12)) @t15) (tptp.c_Groups_Oabs__class_Oabs @t13 @t553)))))) % 0.59/1.30 (assume @p469 (forall @t539 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t537 @t535) @t317)))) % 0.59/1.30 (assume @p470 (forall @t539 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t555 @t99) (tptp.hAPP @t555 @t119)) @t317)))) % 0.59/1.30 (assume @p471 (forall @t307 (=> @t19 (= (tptp.c_RealVector_Onorm__class_Onorm @t13 @t254) (tptp.hAPP (tptp.hAPP @t389 @t291) @t16))))) % 0.59/1.30 (assume @p472 (forall (@list @t12 @t15 @t37 @t13) (=> @t19 (=> @t557 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 (tptp.hAPP @t556 @t14)) @t255))))) % 0.59/1.30 (assume @p473 (forall (@list @t12 @t15 @t37) (=> @t557 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t558 (tptp.hAPP @t556 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t12))) (= @t15 @t213))))) % 0.59/1.30 (assume @p474 (forall @t125 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t560) (or @t280 (not @t344)))))) % 0.59/1.30 (assume @p475 (forall @t20 (=> @t484 (not (tptp.c_Orderings_Oord__class_Oless @t13 @t561 @t187))))) % 0.59/1.30 (assume @p476 (forall @t125 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t560 @t187) @t345)))) % 0.59/1.30 (assume @p477 (forall @t20 (=> @t484 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t561)))) % 0.59/1.30 (assume @p478 (forall (@list @t38 @t562 @t40 @t563) (= (tptp.hAPP (tptp.hAPP @t564 (tptp.c_Complex_Orcis @t563 @t40)) (tptp.c_Complex_Orcis @t562 @t38)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t389 @t563) @t562) @t341)))) % 0.59/1.30 (assume @p479 (forall @t378 (= (tptp.hAPP @t566 @t376) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t481 @t37) (tptp.hAPP @t565 @t49)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t481 @t49) (tptp.hAPP @t565 @t37)))))) % 0.59/1.30 (assume @p480 (forall @t163 (= (tptp.c_Complex_OIm @t570) @t569))) % 0.59/1.30 (assume @p481 (forall @t163 (= (tptp.c_Complex_ORe @t570) @t571))) % 0.59/1.30 (assume @p482 (forall @t163 (= @t570 (tptp.c_Complex_Ocomplex_OComplex @t571 @t569)))) % 0.59/1.30 (assume @p483 (forall @t125 (=> @t487 (= (= @t560 @t187) @t345)))) % 0.59/1.30 (assume @p484 (forall @t572 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t541)) @t540))) % 0.59/1.30 (assume @p485 (exists @t577 (and @t576 @t575))) % 0.59/1.30 (assume @p486 (exists @t577 (and @t576 @t578))) % 0.59/1.30 (assume @p487 (forall @t22 (=> @t19 (exists @t577 (and @t576 @t579))))) % 0.59/1.30 (assume @p488 (forall @t289 (=> @t19 (exists @t577 (and @t576 @t584))))) % 0.59/1.30 (assume @p489 (forall @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t381 @t585))) % 0.59/1.30 (assume @p490 (forall @t586 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t381)))) % 0.59/1.30 (assume @p491 (exists @t577 (and @t587 @t575))) % 0.59/1.30 (assume @p492 (forall @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t590))) % 0.59/1.30 (assume @p493 (forall @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 (tptp.hAPP @t589 @t590)))) % 0.59/1.30 (assume @p494 (forall @t142 (=> @t596 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t595 @t593)))) % 0.59/1.30 (assume @p495 (forall @t142 (=> @t596 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t599 @t598)))) % 0.59/1.30 (assume @p496 (forall @t601 (=> @t596 (=> @t600 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t595 (tptp.hAPP @t592 @t166)))))) % 0.59/1.30 (assume @p497 (forall @t608 (= @t607 (and @t606 @t605)))) % 0.59/1.30 (assume @p498 (forall @t608 (= @t606 @t609))) % 0.59/1.30 (assume @p499 (forall @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t612 @t614) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t613 @t610)))) % 0.59/1.30 (assume @p500 (forall @t620 (=> @t619 @t617))) % 0.59/1.30 (assume @p501 (forall @t620 (=> @t618 @t621))) % 0.59/1.30 (assume @p502 (forall (@list @t585 @t139 @t141) (=> @t622 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t141 @t585) @t139)))) % 0.59/1.30 (assume @p503 (forall @t620 (=> @t621 (=> @t624 @t618)))) % 0.59/1.30 (assume @p504 (forall (@list @t37 @t38 @t40) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t38) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t40) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t37) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t37)))))) % 0.59/1.30 (assume @p505 (forall @t627 (=> @t618 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t164 @t166) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t626 @t625))))) % 0.59/1.30 (assume @p506 (forall @t632 (=> @t631 (=> @t630 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t629 @t628) @t607))))) % 0.59/1.30 (assume @p507 (forall @t620 (=> (or @t618 @t623) @t621))) % 0.59/1.30 (assume @p508 (forall @t586 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t585)))) % 0.59/1.30 (assume @p509 (forall @t608 (= @t605 (or @t607 @t633)))) % 0.59/1.30 (assume @p510 (forall @t163 (=> @t235 (=> (not @t634) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t15))))) % 0.59/1.30 (assume @p511 (forall @t636 (=> @t635 @t624))) % 0.59/1.30 (assume @p512 (forall (@list @t637 @t182) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t182 @t637) (not (= @t182 @t637))))) % 0.59/1.30 (assume @p513 (forall (@list @t638 @t602 @t603) (=> (=> @t607 @t640) (=> (=> @t604 @t640) (=> (=> @t633 @t640) @t640))))) % 0.59/1.30 (assume @p514 (forall @t142 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t139) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t139)))) % 0.59/1.30 (assume @p515 (forall (@list @t585 @t164 @t166 @t139) (=> @t643 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t166) @t642) @t618)))) % 0.59/1.30 (assume @p516 (forall @t601 (=> @t646 (=> @t643 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t645 @t644))))) % 0.59/1.30 (assume @p517 (forall @t142 (=> @t646 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t645 @t647)))) % 0.59/1.30 (assume @p518 (forall @t649 (=> @t646 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t648)))) % 0.59/1.30 (assume @p519 (forall @t649 (=> @t646 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t650)))) % 0.59/1.30 (assume @p520 (forall @t632 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t652 @t651) @t607))) % 0.59/1.30 (assume @p521 (forall (@list @t140 @t141) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t653 @t140)))) % 0.59/1.30 (assume @p522 (forall (@list @t141 @t140) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t140)))) % 0.59/1.30 (assume @p523 (forall @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t616 @t164))) % 0.59/1.30 (assume @p524 (forall @t656 (=> @t655 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t654) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t645 @t141))))) % 0.59/1.30 (assume @p525 (forall (@list @t612 @t611 @t610) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t614 @t612) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t610 @t613)))) % 0.59/1.30 (assume @p526 (forall (@list @t164 @t585 @t139) (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t657 @t139))))) % 0.59/1.30 (assume @p527 (forall @t627 (=> @t621 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t626 @t625)))) % 0.59/1.30 (assume @p528 (forall @t627 (=> @t621 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t166) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t166))))) % 0.59/1.30 (assume @p529 (forall (@list @t585 @t140) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t585) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t140)) @t140)))) % 0.59/1.30 (assume @p530 (forall @t636 (=> @t659 @t617))) % 0.59/1.30 (assume @p531 (forall @t656 (=> @t655 (= @t661 @t660)))) % 0.59/1.30 (assume @p532 (forall (@list @t612 @t610 @t611) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t610) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t614) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t613 @t610))))) % 0.59/1.30 (assume @p533 (forall @t636 (=> @t659 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t616 @t585) @t164)))) % 0.59/1.30 (assume @p534 (forall @t615 (=> @t663 (= (= @t662 @t611) (= @t610 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t611 @t612)))))) % 0.59/1.30 (assume @p535 (forall @t656 (=> @t655 (= @t660 @t661)))) % 0.59/1.30 (assume @p536 (forall @t656 (=> @t655 (= @t665 @t664)))) % 0.59/1.30 (assume @p537 (forall @t656 (=> @t655 (= @t664 @t665)))) % 0.59/1.30 (assume @p538 (forall @t632 (=> @t631 (=> @t630 (= (= @t629 @t628) @t604))))) % 0.59/1.30 (assume @p539 (forall @t666 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t139 @t164) (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t139) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t139)) @t616))))) % 0.59/1.30 (assume @p540 (forall @t632 (=> @t631 (=> @t630 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t629 @t628) @t606))))) % 0.59/1.30 (assume @p541 (forall @t669 (=> @t668 (not (=> @t621 (not @t658)))))) % 0.59/1.30 (assume @p542 (forall @t669 (=> @t668 @t621))) % 0.59/1.30 (assume @p543 (forall @t669 (=> @t668 @t658))) % 0.59/1.30 (assume @p544 (forall @t601 (=> @t596 (=> @t600 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t645 @t644))))) % 0.59/1.30 (assume @p545 (forall @t620 (=> @t621 (=> @t659 @t623)))) % 0.59/1.30 (assume @p546 (forall @t142 (=> @t596 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t139))))) % 0.59/1.30 (assume @p547 (forall @t142 (=> @t596 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t645 @t647)))) % 0.59/1.30 (assume @p548 (forall @t649 (=> @t596 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t648)))) % 0.59/1.30 (assume @p549 (forall @t649 (=> @t596 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140 @t650)))) % 0.59/1.30 (assume @p550 (forall @t620 (=> @t623 @t621))) % 0.59/1.30 (assume @p551 (forall @t632 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t652 @t651) @t606))) % 0.59/1.30 (assume @p552 (forall @t620 (or @t621 @t659))) % 0.59/1.30 (assume @p553 (forall @t608 (= @t606 (exists @t672 (= @t602 @t671))))) % 0.59/1.30 (assume @p554 (forall @t636 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t657))) % 0.59/1.30 (assume @p555 (forall @t636 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t673))) % 0.59/1.30 (assume @p556 (forall @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t585 @t585))) % 0.59/1.30 (assume @p557 (forall @t677 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t611 @t675) (exists @t676 (= @t675 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t611 @t674)))))) % 0.59/1.30 (assume @p558 (forall @t632 (= @t683 @t679))) % 0.59/1.30 (assume @p559 (forall @t687 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t684) @t679))) % 0.59/1.30 (assume @p560 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t588 @t381) @t585) @t381))) % 0.59/1.30 (assume @p561 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t690) (and @t689 @t688)))) % 0.59/1.30 (assume @p562 (forall @t591 (= (tptp.hAPP @t589 @t381) @t381))) % 0.59/1.30 (assume @p563 (forall @t608 (= (= @t690 @t381) (or @t692 @t691)))) % 0.59/1.30 (assume @p564 (forall @t632 (= @t694 @t693))) % 0.59/1.30 (assume @p565 (forall @t687 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t684) @t693))) % 0.59/1.30 (assume @p566 (forall @t632 (= @t697 @t696))) % 0.59/1.30 (assume @p567 (forall @t687 (= (= @t686 @t684) @t696))) % 0.59/1.30 (assume @p568 (forall @t142 (=> @t646 (=> @t698 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t595 @t593))))) % 0.59/1.30 (assume @p569 (forall @t142 (=> @t646 (=> @t698 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t599 @t598))))) % 0.59/1.30 (assume @p570 (forall @t586 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t381 @t585) @t585))) % 0.59/1.30 (assume @p571 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t699) (or @t689 @t688)))) % 0.59/1.30 (assume @p572 (forall @t591 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t381) @t164))) % 0.59/1.30 (assume @p573 (forall @t608 (= (= @t699 @t381) (and @t692 @t691)))) % 0.59/1.30 (assume @p574 (forall @t620 (=> (= @t673 @t164) @t700))) % 0.59/1.30 (assume @p575 (forall @t586 (=> @t702 @t701))) % 0.59/1.30 (assume @p576 (forall @t620 (=> @t618 @t702))) % 0.59/1.30 (assume @p577 (forall @t704 (= @t703 @t688))) % 0.59/1.30 (assume @p578 (forall @t620 (=> @t705 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t164) @t381) @t623)))) % 0.59/1.30 (assume @p579 (forall @t620 (=> @t621 @t705))) % 0.59/1.30 (assume @p580 (forall @t636 (=> @t701 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t164) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t616 @t164))))) % 0.59/1.30 (assume @p581 (forall @t608 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t603 @t602) @t381) @t606))) % 0.59/1.30 (assume @p582 (forall @t636 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t657) @t381))) % 0.59/1.30 (assume @p583 (forall @t591 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t164) @t381))) % 0.59/1.30 (assume @p584 (forall @t704 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t602 @t381) @t691))) % 0.59/1.30 (assume @p585 (forall @t591 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t381) @t164))) % 0.59/1.30 (assume @p586 (forall @t706 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t602 @t603)) @t607))) % 0.59/1.30 (assume @p587 (forall @t586 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t381 @t585) @t381))) % 0.59/1.30 (assume @p588 (forall @t712 (= @t711 (and (=> @t710 @t709) (forall @t362 (=> @t708 @t707)))))) % 0.59/1.30 (assume @p589 (forall @t712 (= @t711 (not (or (and @t710 @t713) (exists @t362 (and @t708 (not @t707)))))))) % 0.59/1.30 (assume @p590 (forall @t632 (=> @t678 (= @t683 @t606)))) % 0.59/1.30 (assume @p591 (exists @t577 (and @t587 @t578))) % 0.59/1.30 (assume @p592 (forall @t289 (=> @t19 (exists @t577 (and @t587 @t584))))) % 0.59/1.30 (assume @p593 (forall @t22 (=> @t19 (exists @t577 (and @t587 @t579))))) % 0.59/1.30 (assume @p594 (forall @t620 (= @t715 (tptp.hAPP @t714 @t164)))) % 0.59/1.30 (assume @p595 (forall @t717 (= (tptp.hAPP (tptp.hAPP @t588 @t715) @t139) (tptp.hAPP @t589 @t716)))) % 0.59/1.30 (assume @p596 (forall @t717 (= (tptp.hAPP (tptp.hAPP @t588 @t673) @t139) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t718 @t716)))) % 0.59/1.30 (assume @p597 (forall @t666 (= (tptp.hAPP @t597 @t673) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t720 @t719)))) % 0.59/1.30 (assume @p598 (forall @t717 (= (tptp.hAPP (tptp.hAPP @t588 @t616) @t139) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 @t716)))) % 0.59/1.30 (assume @p599 (forall @t666 (= (tptp.hAPP @t597 @t616) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t720 @t719)))) % 0.59/1.30 (assume @p600 (forall @t620 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t673 @t585) @t164))) % 0.59/1.30 (assume @p601 (forall @t636 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t657 @t585) @t164))) % 0.59/1.30 (assume @p602 (forall @t142 (= @t722 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t647)))) % 0.59/1.30 (assume @p603 (forall @t142 (= @t722 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t139) @t141)))) % 0.59/1.30 (assume @p604 (forall @t666 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t723 @t642) @t616))) % 0.59/1.30 (assume @p605 (forall @t669 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t667 @t724) @t616))) % 0.59/1.30 (assume @p606 (forall @t620 (= @t673 @t657))) % 0.59/1.30 (assume @p607 (forall @t25 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t725) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t23))))) % 0.59/1.30 (assume @p608 (forall @t717 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t673 @t139) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t724)))) % 0.59/1.30 (assume @p609 (forall @t632 (= (= @t652 @t651) @t604))) % 0.59/1.30 (assume @p610 (forall @t687 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t603 @t611) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t602 @t611)) @t604))) % 0.59/1.30 (assume @p611 (forall (@list @t139 @t141 @t542 @t140) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t726 @t139)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t641) @t542) @t139)))) % 0.59/1.30 (assume @p612 (forall @t632 (= @t697 (or @t695 @t604)))) % 0.59/1.30 (assume @p613 (forall @t733 (=> @t663 (= @t732 (= @t603 @t729))))) % 0.59/1.30 (assume @p614 (forall (@list @t585 @t164 @t542 @t141 @t140) (=> @t596 (= @t734 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t141 @t140)) @t542) @t585)))))) % 0.59/1.30 (assume @p615 (forall @t733 (=> @t663 (= @t735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t603 @t729))))) % 0.59/1.30 (assume @p616 (forall @t738 (=> @t737 (= @t732 (= @t736 @t602))))) % 0.59/1.30 (assume @p617 (forall (@list @t585 @t164 @t542 @t140 @t141) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141 @t140) (= @t734 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t721) @t542) @t164) @t585))))) % 0.59/1.30 (assume @p618 (forall @t738 (=> @t737 (= @t735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t736 @t602))))) % 0.59/1.30 (assume @p619 (forall @t632 (=> @t678 (= @t694 @t607)))) % 0.59/1.30 (assume @p620 (forall @t632 (=> @t678 (= @t697 @t604)))) % 0.59/1.30 (assume @p621 (forall @t738 (=> @t737 (= @t739 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t602))))) % 0.59/1.30 (assume @p622 (forall @t733 (=> @t663 (= @t739 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t729))))) % 0.59/1.30 (assume @p623 (forall @t743 (=> @t742 (=> @t205 (exists @t577 (and @t576 @t741)))))) % 0.59/1.30 (assume @p624 (forall @t746 (=> @t19 (exists @t577 (and @t576 @t745))))) % 0.59/1.30 (assume @p625 (forall @t289 (=> @t398 (exists @t577 (and @t576 @t747))))) % 0.59/1.30 (assume @p626 (forall @t434 (=> @t398 (exists @t577 (and @t576 @t748))))) % 0.59/1.30 (assume @p627 (forall @t22 (=> @t398 (exists @t577 (and @t576 @t749))))) % 0.59/1.30 (assume @p628 (forall @t751 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t23) @t750))) % 0.59/1.30 (assume @p629 (forall @t25 (=> @t634 @t752))) % 0.59/1.30 (assume @p630 (forall @t751 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t23) @t752))) % 0.59/1.30 (assume @p631 (forall @t163 (=> @t634 @t753))) % 0.59/1.30 (assume @p632 (forall @t25 (=> @t753 @t750))) % 0.59/1.30 (assume @p633 (exists @t577 @t575)) % 0.59/1.30 (assume @p634 (exists @t577 @t578)) % 0.59/1.30 (assume @p635 (forall @t22 (=> @t19 (exists @t577 @t579)))) % 0.59/1.30 (assume @p636 (forall @t289 (=> @t19 (exists @t577 @t584)))) % 0.59/1.30 (assume @p637 (forall @t743 (=> @t742 (=> @t205 (exists @t577 (and @t587 @t741)))))) % 0.59/1.30 (assume @p638 (forall @t746 (=> @t19 (exists @t577 (and @t587 @t745))))) % 0.59/1.30 (assume @p639 (forall @t289 (=> @t398 (exists @t577 (and @t587 @t747))))) % 0.59/1.30 (assume @p640 (forall @t22 (=> @t398 (exists @t577 (and @t587 @t749))))) % 0.59/1.30 (assume @p641 (forall @t434 (=> @t398 (exists @t577 (and @t587 @t748))))) % 0.59/1.30 (assume @p642 (forall @t380 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t40) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t38) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t588 @t754) (tptp.c_RComplete_Onatfloor @t38)) (tptp.c_RComplete_Onatfloor @t482)))))) % 0.59/1.30 (assume @p643 (forall @t380 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t40 @t38)) (tptp.hAPP (tptp.hAPP @t564 (tptp.c_Complex_Oexpi @t40)) (tptp.c_Complex_Oexpi @t38))))) % 0.59/1.30 (assume @p644 (forall @t743 (=> @t742 (=> @t205 (exists @t577 @t741))))) % 0.59/1.30 (assume @p645 (= (tptp.c_RComplete_Onatfloor @t213) @t381)) % 0.59/1.30 (assume @p646 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t381 @t755))) % 0.59/1.30 (assume @p647 (forall @t163 (=> @t24 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t755 (tptp.c_RComplete_Onatfloor @t12))))) % 0.59/1.30 (assume @p648 (forall @t175 (=> @t756 (= @t755 @t381)))) % 0.59/1.30 (assume @p649 (forall @t746 (=> @t19 (exists @t577 @t745)))) % 0.59/1.30 (assume @p650 (forall @t289 (=> @t398 (exists @t577 @t747)))) % 0.59/1.30 (assume @p651 (forall @t22 (=> @t398 (exists @t577 @t749)))) % 0.59/1.30 (assume @p652 (forall @t434 (=> @t398 (exists @t577 @t748)))) % 0.59/1.30 (assume @p653 (forall @t760 (=> @t759 (= (tptp.c_RComplete_Onatfloor @t758) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t755 @t40))))) % 0.59/1.30 (assume @p654 (forall @t762 (=> @t759 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t761) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t755 @t585))))) % 0.59/1.30 (assume @p655 (forall @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t761))) % 0.59/1.30 (assume @p656 (forall @t586 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t761 @t213)))) % 0.59/1.30 (assume @p657 (forall @t706 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t764 @t763) @t633))) % 0.59/1.30 (assume @p658 (forall @t706 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t764 @t763) @t765))) % 0.59/1.30 (assume @p659 (forall @t704 (= (= @t764 @t213) @t691))) % 0.59/1.30 (assume @p660 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t381) @t213)) % 0.59/1.30 (assume @p661 (forall @t175 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t766) @t766))) % 0.59/1.30 (assume @p662 (forall @t706 (= (= @t764 @t763) @t767))) % 0.59/1.30 (assume @p663 (forall @t586 (= (tptp.c_RComplete_Onatfloor @t761) @t585))) % 0.59/1.30 (assume @p664 (forall @t620 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t715) (tptp.hAPP (tptp.hAPP @t389 @t768) @t761)))) % 0.59/1.30 (assume @p665 (forall @t620 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t673) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t768 @t761)))) % 0.59/1.30 (assume @p666 (forall @t704 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t764 @t213) @t691))) % 0.59/1.30 (assume @p667 (forall @t636 (=> @t659 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t616) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t768 @t761))))) % 0.59/1.30 (assume @p668 (forall @t175 (=> @t759 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t769 @t15)))) % 0.59/1.30 (assume @p669 (forall @t760 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t766 @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t754)))) % 0.59/1.30 (assume @p670 (forall @t704 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t764) @t688))) % 0.59/1.30 (assume @p671 (forall @t324 (=> @t772 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t27 @t771) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t770 @t99))))) % 0.59/1.30 (assume @p672 (forall @t483 (=> @t774 (= (tptp.c_RComplete_Onatfloor @t773) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t755 @t40))))) % 0.59/1.30 (assume @p673 (forall @t760 (=> @t759 (= (tptp.c_RComplete_Onatceiling @t758) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t775 @t40))))) % 0.59/1.30 (assume @p674 (forall @t483 (=> @t774 (= (tptp.c_RComplete_Onatceiling @t773) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t775 @t40))))) % 0.59/1.30 (assume @p675 (forall @t778 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t761 @t15) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t777) (= @t755 @t585))))) % 0.59/1.30 (assume @p676 (forall @t586 (= (tptp.c_RComplete_Onatceiling @t761) @t585))) % 0.59/1.30 (assume @p677 (forall @t375 (= (tptp.hAPP (tptp.hAPP @t389 @t776) @t23) @t23))) % 0.59/1.30 (assume @p678 (forall @t59 (=> @t154 @t780))) % 0.59/1.30 (assume @p679 (forall @t59 (=> @t154 @t781))) % 0.59/1.30 (assume @p680 (forall @t59 (=> @t782 @t780))) % 0.59/1.30 (assume @p681 (forall @t59 (=> @t783 @t780))) % 0.59/1.30 (assume @p682 (forall @t59 (=> @t782 @t781))) % 0.59/1.30 (assume @p683 (forall @t59 (=> @t783 @t781))) % 0.59/1.30 (assume @p684 (forall @t289 (=> @t784 (= (tptp.c_RealVector_Onorm__class_Onorm @t13 @t779) @t776)))) % 0.59/1.30 (assume @p685 (forall @t282 (=> (tptp.class_Groups_Oone @t13) (= (= @t779 @t99) @t785)))) % 0.59/1.30 (assume @p686 (forall @t22 (=> @t256 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t13 @t776 @t15) @t15)))) % 0.59/1.30 (assume @p687 (not (= @t213 @t776))) % 0.59/1.30 (assume @p688 (forall @t289 (=> @t355 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t779) @t779)))) % 0.59/1.30 (assume @p689 (forall @t289 (=> @t786 (not (= @t187 @t779))))) % 0.59/1.30 (assume @p690 (forall @t289 (=> @t786 (not (= @t779 @t187))))) % 0.59/1.30 (assume @p691 (forall @t289 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t779)))) % 0.59/1.30 (assume @p692 (forall @t289 (=> @t356 (not (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t779 @t187))))) % 0.59/1.30 (assume @p693 (forall @t289 (=> @t356 (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t779)))) % 0.59/1.30 (assume @p694 (forall @t289 (=> @t356 (not (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t187))))) % 0.59/1.30 (assume @p695 (forall (@list @t585 @t164 @t13) (=> @t356 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t164) (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t585) (tptp.c_Orderings_Oord__class_Oless @t13 @t779 (tptp.hAPP @t787 @t585))))))) % 0.59/1.30 (assume @p696 (forall @t59 (=> @t356 (tptp.c_Orderings_Oord__class_Oless @t13 @t40 @t788)))) % 0.59/1.30 (assume @p697 (forall (@list @t164 @t40 @t13) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t459 @t164) @t789)))) % 0.59/1.30 (assume @p698 (forall (@list @t40 @t164 @t13) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t164 @t459) @t789)))) % 0.59/1.30 (assume @p699 (forall (@list @t164 @t13) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t164 @t164) (tptp.hAPP (tptp.hAPP @t394 @t790) @t164))))) % 0.59/1.30 (assume @p700 (forall @t22 (=> @t145 (= @t86 (tptp.hAPP (tptp.hAPP @t394 @t791) @t15))))) % 0.59/1.30 (assume @p701 (forall @t282 (=> @t792 (= (= @t559 @t779) (or @t785 (= @t99 @t791)))))) % 0.59/1.30 (assume @p702 (= (tptp.c_RComplete_Onatceiling @t213) @t381)) % 0.59/1.30 (assume @p703 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t381 @t775))) % 0.59/1.30 (assume @p704 (forall @t163 (=> @t24 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t775 (tptp.c_RComplete_Onatceiling @t12))))) % 0.59/1.30 (assume @p705 (forall @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t775)))) % 0.59/1.30 (assume @p706 (forall @t20 (=> @t355 (=> @t554 (=> @t794 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t396 @t15))))))) % 0.59/1.30 (assume @p707 (forall @t20 (=> @t355 (=> @t554 (=> @t794 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t553 @t15))))))) % 0.59/1.30 (assume @p708 (forall @t289 (=> @t356 (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t790)))) % 0.59/1.30 (assume @p709 (forall @t22 (=> @t795 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t420 @t779) (tptp.hAPP (tptp.hAPP @t394 (tptp.c_Groups_Oplus__class_Oplus @t13 @t15 @t779)) (tptp.c_Groups_Ominus__class_Ominus @t13 @t15 @t779)))))) % 0.59/1.30 (assume @p710 (forall @t175 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t558 @t776) @t15)))) % 0.59/1.30 (assume @p711 (forall @t801 (=> (tptp.class_Rings_Olinordered__semiring__1 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t15 @t40) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t12 @t40) (=> @t800 (=> @t799 (=> @t798 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t797 @t40))))))))) % 0.59/1.30 (assume @p712 (forall @t175 (=> @t756 (= @t775 @t381)))) % 0.59/1.30 (assume @p713 (forall @t760 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t757) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t775 @t40)))) % 0.59/1.30 (assume @p714 (forall @t706 (= @t633 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t764 @t776) @t763)))) % 0.59/1.30 (assume @p715 (forall @t706 (= @t765 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t764 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t763 @t776))))) % 0.59/1.30 (assume @p716 (forall @t175 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t776 @t558)))) % 0.59/1.30 (assume @p717 (forall @t175 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t769 @t776)))) % 0.59/1.30 (assume @p718 (forall @t175 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t776) @t769))) % 0.59/1.30 (assume @p719 (forall @t801 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t13) (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t15 @t40) (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t12 @t40) (=> @t800 (=> @t799 (=> @t798 (tptp.c_Orderings_Oord__class_Oless @t13 @t797 @t40))))))))) % 0.59/1.30 (assume @p720 (forall @t324 (=> @t772 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t802 @t27) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t770))))) % 0.59/1.30 (assume @p721 (forall @t778 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t761 @t15) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t777) (= @t775 @t804))))) % 0.59/1.30 (assume @p722 (forall @t175 (=> @t759 (= (tptp.c_RComplete_Onatceiling @t805) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t775 @t803))))) % 0.59/1.30 (assume @p723 (forall @t175 (=> @t759 (= (tptp.c_RComplete_Onatfloor @t805) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t755 @t803))))) % 0.59/1.30 (assume @p724 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t588 @t803) @t585) @t585))) % 0.59/1.30 (assume @p725 (forall @t608 (= (= @t803 @t690) @t806))) % 0.59/1.30 (assume @p726 (forall @t586 (= (tptp.hAPP @t714 @t803) @t585))) % 0.59/1.30 (assume @p727 (forall @t608 (= (= @t690 @t803) @t806))) % 0.59/1.30 (assume @p728 (forall @t620 (=> (= @t164 @t715) (or (= @t585 @t803) @t807)))) % 0.59/1.30 (assume @p729 (= (tptp.c_Complex_OIm @t808) @t213)) % 0.59/1.30 (assume @p730 (= (tptp.c_Complex_ORe @t808) @t776)) % 0.59/1.30 (assume @p731 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t803) @t776)) % 0.59/1.30 (assume @p732 (= (tptp.c_RComplete_Onatfloor @t776) @t803)) % 0.59/1.30 (assume @p733 (= (tptp.c_RComplete_Onatceiling @t776) @t803)) % 0.59/1.30 (assume @p734 (= (tptp.c_Complex_Oexpi @t212) @t808)) % 0.59/1.30 (assume @p735 (forall @t368 (= (= @t367 @t808) (and (= @t27 @t776) @t366)))) % 0.59/1.30 (assume @p736 (= @t808 (tptp.c_Complex_Ocomplex_OComplex @t776 @t213))) % 0.59/1.30 (assume @p737 (forall @t620 (and (=> @t807 (= @t715 @t381)) (=> @t810 (= @t715 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 (tptp.hAPP (tptp.hAPP @t588 @t809) @t585))))))) % 0.59/1.30 (assume @p738 (forall @t572 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t803 @t771) @t811))) % 0.59/1.30 (assume @p739 (forall @t572 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t802 @t803) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t776)))) % 0.59/1.30 (assume @p740 (forall (@list @t585 @t23) (=> (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 @t23) @t803) @t585) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t23 @t761)))) % 0.59/1.30 (assume @p741 (forall @t157 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t155) (exists @t676 (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 @t674 @t803)) @t155) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t155 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t674))))))) % 0.59/1.30 (assume @p742 (forall (@list @t602 @t638) (=> @t713 (=> (tptp.hBOOL @t639) (exists @t672 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t670 @t602) (forall @t813 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t812 @t670) (not (tptp.hBOOL (tptp.hAPP @t638 @t812))))) (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t670 @t803))))))))) % 0.59/1.30 (assume @p743 (= (tptp.hAPP @t814 tptp.c_Complex_Oii) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t808))) % 0.59/1.30 (assume @p744 (forall (@list @t816 @t815 @t13 @t100) (=> (and @t206 @t116) (=> (forall @t676 (=> @t820 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t100 (tptp.c_Groups_Ominus__class_Ominus @t100 @t817 @t818)) @t776))) (forall @t676 (=> @t820 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t819 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t776 (tptp.c_RealVector_Onorm__class_Onorm @t100 @t817))))))))) % 0.59/1.30 (assume @p745 (not (= tptp.c_Complex_Oii @t808))) % 0.59/1.30 (assume @p746 (not (= tptp.c_Complex_Oii @t212))) % 0.59/1.30 (assume @p747 (= (tptp.c_Complex_ORe tptp.c_Complex_Oii) @t213)) % 0.59/1.30 (assume @p748 (= (tptp.c_Complex_OIm tptp.c_Complex_Oii) @t776)) % 0.59/1.30 (assume @p749 (forall @t175 (= (tptp.hAPP @t814 (tptp.hAPP @t814 @t15)) @t326))) % 0.59/1.30 (assume @p750 (= tptp.c_Complex_Oii (tptp.c_Complex_Ocomplex_OComplex @t213 @t776))) % 0.59/1.30 (assume @p751 (forall @t211 (= (= (tptp.c_Complex_Ocomplex_OComplex @t99 @t119) tptp.c_Complex_Oii) (and @t540 (= @t119 @t776))))) % 0.59/1.30 (assume @p752 (forall @t380 (= (tptp.hAPP @t566 tptp.c_Complex_Oii) @t821))) % 0.59/1.30 (assume @p753 (forall @t380 (= (tptp.hAPP @t814 @t377) @t821))) % 0.59/1.30 (assume @p754 (forall @t826 (=> @t105 (= (tptp.c_SEQ_Odecseq @t13 @t816) (forall @t825 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t818 @t823))))))) % 0.59/1.30 (assume @p755 (forall @t762 (=> @t759 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t828 @t15) @t776) (tptp.hAPP (tptp.hAPP @t827 @t805) @t585))))) % 0.59/1.30 (assume @p756 (forall (@list @t829 @t12 @t15 @t13) (=> @t154 (= (tptp.hAPP (tptp.hAPP @t830 @t396) @t829) (tptp.hAPP @t833 (tptp.hAPP (tptp.hAPP @t830 @t12) @t829)))))) % 0.59/1.30 (assume @p757 (forall @t837 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t830 @t836) @t829) (tptp.hAPP @t831 (tptp.hAPP @t835 @t829)))))) % 0.59/1.30 (assume @p758 (forall @t841 (=> @t430 (= @t840 @t838)))) % 0.59/1.30 (assume @p759 (forall @t841 (=> @t784 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t840 @t838)))) % 0.59/1.30 (assume @p760 (forall @t837 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t394 @t836) @t832) (tptp.hAPP @t831 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t834 @t829)))))) % 0.59/1.30 (assume @p761 (forall @t22 (=> @t154 (= (tptp.hAPP @t831 @t803) @t15)))) % 0.59/1.30 (assume @p762 (forall @t22 (=> @t154 (= (tptp.hAPP @t831 @t381) @t779)))) % 0.59/1.30 (assume @p763 (forall (@list @t15 @t585 @t13) (=> @t783 (=> @t701 (= (tptp.hAPP (tptp.hAPP @t394 (tptp.hAPP @t831 @t842)) @t15) @t839))))) % 0.59/1.30 (assume @p764 (forall (@list @t164 @t585 @t13) (=> @t845 (and (=> @t700 (= @t844 @t779)) (=> @t702 (= @t844 (tptp.hAPP @t787 (tptp.hAPP @t843 @t842)))))))) % 0.59/1.30 (assume @p765 (forall @t851 (=> @t356 (=> @t245 (=> @t297 (=> @t701 @t850)))))) % 0.59/1.30 (assume @p766 (forall @t620 (= @t854 @t853))) % 0.59/1.30 (assume @p767 (forall @t620 (= @t853 @t854))) % 0.59/1.30 (assume @p768 (forall @t25 (= (tptp.hAPP (tptp.hAPP @t855 @t857) @t23) (tptp.hAPP @t856 (tptp.hAPP (tptp.hAPP @t588 @t12) @t23))))) % 0.59/1.30 (assume @p769 (forall @t25 (= (tptp.hAPP @t856 @t725) (tptp.hAPP (tptp.hAPP @t858 @t857) (tptp.hAPP @t856 @t23))))) % 0.59/1.30 (assume @p770 (forall @t860 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 (tptp.hAPP (tptp.hAPP @t855 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t99)) @t602)) (or (not (= @t99 @t859)) @t691)))) % 0.59/1.30 (assume @p771 (forall (@list @t585 @t164 @t140) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t140) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t861 @t164) (tptp.hAPP @t861 @t585)) @t618)))) % 0.59/1.30 (assume @p772 (forall @t860 (= @t864 (or @t862 @t691)))) % 0.59/1.30 (assume @p773 (forall @t762 (=> (= @t15 @t769) (= (tptp.c_RComplete_Onatfloor @t865) (tptp.hAPP (tptp.hAPP @t852 @t755) @t585))))) % 0.59/1.30 (assume @p774 (forall (@list @t834 @t164) (and (=> @t807 (= @t867 @t803)) (=> @t810 (= @t867 (tptp.hAPP @t835 (tptp.hAPP @t866 @t809))))))) % 0.59/1.30 (assume @p775 (forall (@list @t585 @t40 @t155) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) @t185) @t585) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t827 @t155) @t585) (tptp.hAPP @t828 @t40))))) % 0.59/1.30 (assume @p776 (forall @t868 (=> @t792 (=> @t439 (not (= @t849 @t187)))))) % 0.59/1.30 (assume @p777 (forall @t868 (=> @t783 (= @t871 @t869)))) % 0.59/1.30 (assume @p778 (forall @t851 (=> @t782 (= (tptp.hAPP (tptp.hAPP @t830 @t416) @t585) (tptp.hAPP @t870 @t847))))) % 0.59/1.30 (assume @p779 (forall @t872 (=> @t783 (= (tptp.hAPP (tptp.hAPP @t830 @t779) @t585) @t779)))) % 0.59/1.30 (assume @p780 (forall @t874 (=> @t783 (= (tptp.hAPP @t848 @t715) (tptp.hAPP (tptp.hAPP @t830 @t873) @t585))))) % 0.59/1.30 (assume @p781 (forall @t868 (=> @t355 (= @t876 @t875)))) % 0.59/1.30 (assume @p782 (forall @t59 (=> @t783 (= (tptp.hAPP @t848 @t803) @t40)))) % 0.59/1.30 (assume @p783 (forall @t868 (=> @t356 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t849))))) % 0.59/1.30 (assume @p784 (forall @t851 (=> @t356 (=> @t43 (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t849 @t847)))))) % 0.59/1.30 (assume @p785 (forall @t868 (=> @t356 (=> @t227 (tptp.c_Orderings_Oord__class_Oless @t13 @t187 @t849))))) % 0.59/1.30 (assume @p786 (forall @t868 (=> @t356 (=> @t877 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t779 @t849))))) % 0.59/1.30 (assume @p787 (forall (@list @t602 @t27 @t13) (=> (and @t845 @t442 @t438 @t786) (= (= @t879 @t187) (and @t286 @t703))))) % 0.59/1.30 (assume @p788 (forall (@list @t602 @t603 @t27 @t13) (=> @t356 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t27) (= (= (tptp.hAPP @t878 @t603) @t879) @t604))))) % 0.59/1.30 (assume @p789 (forall @t59 (=> @t845 (= (tptp.hAPP @t848 @t381) @t779)))) % 0.59/1.30 (assume @p790 (forall @t874 (=> @t783 (= (tptp.hAPP @t848 @t673) (tptp.hAPP (tptp.hAPP @t394 @t873) @t849))))) % 0.59/1.30 (assume @p791 (forall @t868 (=> @t355 (= (tptp.c_Groups_Oabs__class_Oabs @t13 @t880) @t876)))) % 0.59/1.30 (assume @p792 (forall @t881 (=> @t356 (=> @t850 (=> @t298 @t245))))) % 0.59/1.30 (assume @p793 (forall @t868 (=> @t356 (=> @t882 (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t869))))) % 0.59/1.30 (assume @p794 (forall @t868 (=> @t356 (=> @t882 (tptp.c_Orderings_Oord__class_Oless @t13 @t849 @t869))))) % 0.59/1.30 (assume @p795 (forall @t872 (=> @t885 (and (=> @t700 (= @t884 @t779)) (=> @t702 (= @t884 @t187)))))) % 0.59/1.30 (assume @p796 (forall @t868 (=> @t355 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t187 @t875)))) % 0.59/1.30 (assume @p797 (forall @t868 (=> @t795 (= @t880 (tptp.hAPP (tptp.hAPP @t394 (tptp.hAPP (tptp.hAPP @t830 @t791) @t585)) @t849))))) % 0.59/1.30 (assume @p798 (forall @t889 (=> @t356 (=> @t888 (=> @t882 (tptp.c_Orderings_Oord__class_Oless @t13 @t849 @t887)))))) % 0.59/1.30 (assume @p799 (forall @t874 (=> @t356 (=> @t882 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t873 @t849) @t618))))) % 0.59/1.30 (assume @p800 (forall @t894 (=> @t356 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t892 @t891) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t99 @t119)))))) % 0.59/1.30 (assume @p801 (forall @t889 (=> @t356 (=> @t895 (=> @t877 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t849 @t887)))))) % 0.59/1.30 (assume @p802 (forall @t868 (=> @t356 (=> @t227 (=> @t896 (tptp.c_Orderings_Oord__class_Oless @t13 @t869 @t849)))))) % 0.59/1.30 (assume @p803 (forall @t889 (=> @t356 (=> @t888 (=> @t227 (=> @t896 (tptp.c_Orderings_Oord__class_Oless @t13 @t887 @t849))))))) % 0.59/1.30 (assume @p804 (forall @t881 (=> @t356 (=> (= @t849 @t847) (=> @t297 (=> @t298 (=> @t701 @t117))))))) % 0.59/1.30 (assume @p805 (forall @t889 (=> @t356 (=> @t895 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t40 @t779) (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t887 @t849))))))) % 0.59/1.30 (assume @p806 (forall @t874 (=> @t356 (=> @t882 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t873 @t849) @t621))))) % 0.59/1.30 (assume @p807 (forall @t894 (=> @t356 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t892 @t891) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t99 @t119)))))) % 0.59/1.30 (assume @p808 (forall @t868 (=> @t356 (=> @t882 (=> @t701 (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t849)))))) % 0.59/1.30 (assume @p809 (forall @t289 (=> @t845 (= @t830 (tptp.c_Power_Opower_Opower @t13 @t779 @t394))))) % 0.59/1.30 (assume @p810 (forall @t860 (= @t864 (or @t691 @t862)))) % 0.59/1.30 (assume @p811 (forall @t762 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 (tptp.hAPP (tptp.hAPP @t855 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t15)) @t585)))) % 0.59/1.30 (assume @p812 (forall @t142 (=> @t898 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t139) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t897 @t140) (tptp.hAPP @t897 @t141)))))) % 0.59/1.30 (assume @p813 (forall @t677 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t611 @t675) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t611 @t675) @t859)))) % 0.59/1.30 (assume @p814 (forall (@list @t23 @t900 @t55 @t901) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t901 @t55) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t901 @t900) @t899))))) % 0.59/1.30 (assume @p815 (forall @t142 (=> @t898 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t140 @t139) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t141 @t139))))) % 0.59/1.30 (assume @p816 (forall @t375 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t859 @t23) @t23))) % 0.59/1.30 (assume @p817 (forall @t375 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t23 @t859) @t23))) % 0.59/1.30 (assume @p818 (forall @t375 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t902 @t23) @t859))) % 0.59/1.30 (assume @p819 (forall @t138 (= @t905 (tptp.hAPP @t903 @t23)))) % 0.59/1.30 (assume @p820 (forall @t427 (= (tptp.hAPP (tptp.hAPP @t858 (tptp.hAPP @t907 @t423)) @t422) (tptp.hAPP @t907 (tptp.hAPP @t906 @t422))))) % 0.59/1.30 (assume @p821 (forall @t480 (= (tptp.hAPP (tptp.hAPP @t858 @t910) @t55) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t909 @t908)))) % 0.59/1.30 (assume @p822 (forall @t913 (= (tptp.hAPP @t903 @t910) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t912 @t911)))) % 0.59/1.30 (assume @p823 (forall @t480 (= (tptp.hAPP (tptp.hAPP @t858 @t914) @t55) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t909 @t908)))) % 0.59/1.30 (assume @p824 (forall @t138 (= (tptp.hAPP (tptp.hAPP @t858 @t902) @t55) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t905)))) % 0.59/1.30 (assume @p825 (forall @t913 (= (tptp.hAPP @t903 @t914) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t912 @t911)))) % 0.59/1.30 (assume @p826 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t859) @t859)) % 0.59/1.30 (assume @p827 (forall @t163 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t12) @t107 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t15)))) % 0.59/1.30 (assume @p828 (forall (@list @t455 @t454) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t454 @t455) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t454 @t455) (not (= @t454 @t455)))))) % 0.59/1.30 (assume @p829 (forall (@list @t140) (and (=> @t916 (= @t915 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t140))) (=> (not @t916) (= @t915 @t140))))) % 0.59/1.30 (assume @p830 (forall @t918 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t917 @t454) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t454)))) % 0.59/1.30 (assume @p831 (forall @t918 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t454) @t917) (= @t454 @t859)))) % 0.59/1.30 (assume @p832 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t917)) % 0.59/1.30 (assume @p833 (not (= @t859 @t917))) % 0.59/1.30 (assume @p834 (forall @t620 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t858 @t164) @t585)) @t917) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t164) @t917)))) % 0.59/1.30 (assume @p835 (forall @t375 (= (tptp.hAPP @t904 @t917) @t23))) % 0.59/1.30 (assume @p836 (forall @t375 (= (tptp.hAPP (tptp.hAPP @t858 @t917) @t23) @t23))) % 0.59/1.30 (assume @p837 (forall @t375 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t919 @t23) @t859)))) % 0.59/1.30 (assume @p838 (forall @t922 (= @t921 (or @t920 (= @t455 @t454))))) % 0.59/1.30 (assume @p839 (forall @t918 (= (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 @t917 @t454) @t454) @t859) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t454 @t859)))) % 0.59/1.30 (assume @p840 (forall (@list @t23 @t55) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t23) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 @t917) @t23)))) % 0.59/1.30 (assume @p841 (forall @t375 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t919)))) % 0.59/1.30 (assume @p842 (forall @t922 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t455 @t917) @t454) @t920))) % 0.59/1.30 (assume @p843 (forall @t922 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t455 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t454 @t917)) @t920))) % 0.59/1.30 (assume @p844 (forall @t922 (= @t921 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t455 @t454)))) % 0.59/1.30 (assume @p845 (forall @t608 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t859 @t603) (= (= (tptp.hAPP (tptp.hAPP @t858 @t603) @t602) @t917) (and (= @t603 @t917) (= @t602 @t917)))))) % 0.59/1.30 (assume @p846 (forall (@list @t27 @t924 @t923 @t13) (= (tptp.hAPP @t925 @t381) @t923))) % 0.59/1.30 (assume @p847 (forall (@list @t23 @t15 @t49) (=> @t927 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t15 @t926) @t23)))) % 0.59/1.30 (assume @p848 (forall (@list @t15 @t23 @t49) (=> @t927 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t23 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 @t926))))) % 0.59/1.30 (assume @p849 (forall @t56 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t55))) % 0.59/1.30 (assume @p850 (forall @t138 (or @t929 @t928))) % 0.59/1.30 (assume @p851 (forall @t142 (=> @t930 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t141 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t140 @t139))))) % 0.59/1.30 (assume @p852 (forall @t138 (=> @t929 (=> @t928 @t135)))) % 0.59/1.30 (assume @p853 (forall @t375 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t902) @t23))) % 0.59/1.30 (assume @p854 (forall @t427 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t910 @t422) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t425 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t423 @t422))))) % 0.59/1.30 (assume @p855 (forall @t25 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t23)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 @t23))))) % 0.59/1.30 (assume @p856 (forall @t138 (= @t931 @t899))) % 0.59/1.30 (assume @p857 (forall @t138 (= @t934 @t932))) % 0.59/1.30 (assume @p858 (forall @t138 (= @t932 @t934))) % 0.59/1.30 (assume @p859 (forall @t138 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t931) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t902 @t933)))) % 0.59/1.30 (assume @p860 (forall @t142 (=> @t930 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t139 @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t139 @t141))))) % 0.59/1.30 (assume @p861 (forall @t938 (=> @t937 (=> @t936 (=> @t935 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t829 @t917)))))) % 0.59/1.30 (assume @p862 (forall @t938 (=> @t937 (=> @t936 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t155 @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t917 @t829)))))) % 0.59/1.30 (assume @p863 (forall @t945 (=> @t944 (=> @t942 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t939)))))) % 0.59/1.30 (assume @p864 (forall @t945 (=> @t947 (=> @t946 (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t939 @t859)))))) % 0.59/1.30 (assume @p865 (forall @t953 (=> @t952 (=> @t946 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t941 @t38) (=> @t949 @t948)))))) % 0.59/1.30 (assume @p866 (forall @t957 (=> @t956 (=> @t944 (=> @t942 (=> @t935 (=> @t940 (=> @t955 @t954)))))))) % 0.59/1.30 (assume @p867 (forall @t953 (=> @t952 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t155 @t859) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t155) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t941) @t954)))))) % 0.59/1.30 (assume @p868 (forall @t957 (=> @t956 (=> @t947 (=> @t949 (=> @t946 (=> @t940 (=> @t955 @t948)))))))) % 0.59/1.30 (assume @p869 (forall @t762 (=> @t958 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 (tptp.hAPP @t856 @t585))))) % 0.59/1.30 (assume @p870 (forall @t163 (=> @t958 (=> @t959 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 (tptp.hAPP (tptp.hAPP @t858 @t15) @t12)))))) % 0.59/1.30 (assume @p871 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t859)) % 0.59/1.30 (assume @p872 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t917)) % 0.59/1.30 (assume @p873 (forall @t163 (=> @t958 (=> @t959 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t15 @t12)))))) % 0.59/1.30 (assume @p874 (forall @t963 (and @t962 (=> (not @t961) (= @t960 @t859))))) % 0.59/1.30 (assume @p875 (forall @t968 (=> @t967 (=> (forall @t6 (=> @t965 (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t73))))) (=> @t966 (forall @t6 (=> @t965 (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t964)))))))))) % 0.59/1.30 (assume @p876 (forall @t163 (=> @t958 (=> @t959 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t859 @t960))))) % 0.59/1.30 (assume @p877 (forall @t963 @t962)) % 0.59/1.30 (assume @p878 (forall @t968 (=> @t967 (=> (forall @t6 (=> @t965 (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t73))))) (=> @t966 (forall @t6 (=> @t965 (tptp.hBOOL (tptp.hAPP @t638 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t964)))))))))) % 0.59/1.30 (assume @p879 (forall @t970 (=> @t701 (=> @t969 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t3) (= (tptp.hAPP (tptp.hAPP @t827 @t3) @t585) @t40) (forall @t360 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t357) (= (tptp.hAPP (tptp.hAPP @t827 @t357) @t585) @t40)) (= @t357 @t3))))))))) % 0.59/1.30 (assume @p880 (forall @t970 (=> @t701 (=> @t969 (exists (@list @t971) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t971) (= (tptp.hAPP (tptp.hAPP @t827 @t971) @t585) @t40))))))) % 0.59/1.30 (assume @p881 (forall @t762 (=> @t533 (= (tptp.c_Transcendental_Oln @t865) (tptp.hAPP @t828 @t972))))) % 0.59/1.30 (assume @p882 (= (tptp.c_Transcendental_Oln @t776) @t213)) % 0.59/1.30 (assume @p883 (forall @t175 (=> @t533 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t972 @t15)))) % 0.59/1.30 (assume @p884 (forall @t211 (=> @t976 (=> @t975 (= (= @t974 @t973) @t120))))) % 0.59/1.30 (assume @p885 (forall @t211 (=> @t976 (=> @t975 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t974 @t973) @t316))))) % 0.59/1.30 (assume @p886 (forall @t211 (=> @t976 (=> @t975 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t974 @t973) @t317))))) % 0.59/1.30 (assume @p887 (forall @t175 (=> @t978 @t977))) % 0.59/1.30 (assume @p888 (forall @t175 (=> @t980 @t979))) % 0.59/1.30 (assume @p889 (forall @t572 (=> @t976 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t974) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t776 @t99))))) % 0.59/1.30 (assume @p890 (forall @t572 (=> @t976 (= (= @t974 @t213) (= @t99 @t776))))) % 0.59/1.30 (assume @p891 (forall @t572 (=> @t976 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t974 @t213) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t99 @t776))))) % 0.59/1.30 (assume @p892 (forall @t175 (=> @t533 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t776) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t972 @t213))))) % 0.59/1.30 (assume @p893 (forall @t175 (=> @t979 (=> @t533 @t980)))) % 0.59/1.30 (assume @p894 (forall @t175 (=> @t977 (=> @t533 @t978)))) % 0.59/1.30 (assume @p895 (forall @t572 (=> @t976 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t213 @t974) @t811)))) % 0.59/1.30 (assume @p896 (forall @t163 (=> @t533 (=> @t532 (= (tptp.c_Transcendental_Oln @t531) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t972 (tptp.c_Transcendental_Oln @t12))))))) % 0.59/1.30 (assume @p897 (forall @t175 (=> @t759 (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 @t776 @t15)) @t15)))) % 0.59/1.30 (assume @p898 (forall @t826 (=> @t19 (= @t983 @t982)))) % 0.59/1.30 (assume @p899 (forall @t826 (=> @t105 (= (tptp.c_SEQ_Oincseq @t13 @t816) (forall @t825 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t823 @t818))))))) % 0.59/1.30 (assume @p900 (forall @t826 (=> @t19 (= @t983 (exists @t672 (and @t986 (exists @t985 (forall @t676 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.c_Groups_Oplus__class_Oplus @t13 @t818 (tptp.c_Groups_Ouminus__class_Ouminus @t13 (tptp.hAPP @t816 @t984)))) @t670))))))))) % 0.59/1.30 (assume @p901 (forall @t826 (=> @t19 (= @t983 (exists @t672 (and @t986 (exists @t6 (forall @t676 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t13 (tptp.c_Groups_Oplus__class_Oplus @t13 @t818 (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t3))) @t670))))))))) % 0.59/1.30 (assume @p902 (forall @t826 (=> @t19 (=> @t983 @t982)))) % 0.59/1.30 (assume @p903 (forall (@list @t816 @t987 @t13) (=> @t19 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t987) (=> (forall @t676 @t988) @t983))))) % 0.59/1.30 (assume @p904 (forall (@list @t611 @t2 @t602) (=> (forall @t813 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t812 @t602) (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 @t812 @t803)) @t989)) @t917))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t2 @t381) @t611) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t611 (tptp.hAPP @t2 @t602)) (exists @t813 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t812 @t602) (= @t989 @t611)))))))) % 0.59/1.30 (assume @p905 (forall (@list @t987 @t816 @t990 @t13) (=> @t19 (=> (forall @t676 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t990 @t674) @t988)) @t983)))) % 0.59/1.30 (assume @p906 (forall (@list @t816 @t100) (=> @t206 (= (exists @t577 (and @t576 (forall @t676 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t819 @t573)))) (exists @t985 (forall @t676 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t819 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t984))))))))) % 0.59/1.30 (assume @p907 (forall @t620 (=> @t618 @t993))) % 0.59/1.30 (assume @p908 (forall @t586 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t991))) % 0.59/1.30 (assume @p909 (forall @t586 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381 @t991))) % 0.59/1.30 (assume @p910 (forall @t996 (=> @t655 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t995 @t164) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t994 @t723))))) % 0.59/1.30 (assume @p911 (forall @t996 (=> @t655 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t995) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t667 @t994))))) % 0.59/1.30 (assume @p912 (forall @t868 (=> @t356 (=> @t882 (tptp.c_Orderings_Oord__class_Oless @t13 @t779 @t997))))) % 0.59/1.30 (assume @p913 (forall @t881 (=> @t356 (=> (= @t997 @t998) (=> @t297 (=> @t298 @t117)))))) % 0.59/1.30 (assume @p914 (forall @t881 (=> @t356 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t997 @t998) (=> @t298 @t43))))) % 0.59/1.30 (assume @p915 (forall @t868 (=> @t783 (= @t997 @t871)))) % 0.59/1.30 (assume @p916 (forall @t868 (=> @t845 (= @t997 @t869)))) % 0.59/1.30 (assume @p917 (forall @t1001 (=> @t154 (= @t1000 @t999)))) % 0.59/1.30 (assume @p918 (forall @t1001 (=> @t154 (= @t999 @t1000)))) % 0.59/1.30 (assume @p919 (forall @t1001 (=> @t154 (= (tptp.hAPP @t833 @t15) @t1000)))) % 0.59/1.30 (assume @p920 (forall @t872 (=> @t885 (= (tptp.hAPP @t883 @t991) @t187)))) % 0.59/1.30 (assume @p921 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t852 @t1002) @t585) @t1002))) % 0.59/1.30 (assume @p922 (forall (@list @t603 @t99) (= (= (tptp.hAPP @t863 @t603) @t1002) (or @t692 (= @t99 @t1002))))) % 0.59/1.30 (assume @p923 (forall (@list @t602 @t27 @t924 @t923 @t13) (= (tptp.hAPP @t925 @t1003) (tptp.hAPP (tptp.hAPP @t924 @t27) (tptp.hAPP @t925 @t602))))) % 0.59/1.30 (assume @p924 (forall @t608 (= (= @t690 @t1002) (and @t1005 @t1004)))) % 0.59/1.30 (assume @p925 (forall @t632 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1008 @t1007) @t607))) % 0.59/1.30 (assume @p926 (forall @t632 (= (= @t1008 @t1007) @t604))) % 0.59/1.30 (assume @p927 (forall @t620 (=> @t993 @t618))) % 0.59/1.30 (assume @p928 (forall @t620 (=> @t1009 @t618))) % 0.59/1.30 (assume @p929 (forall @t591 (not (= @t992 @t381)))) % 0.59/1.30 (assume @p930 (forall @t175 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 (tptp.c_Nat_OSuc @t1002)) (or (= @t15 @t381) (= @t15 @t1002))))) % 0.59/1.30 (assume @p931 (forall @t620 (=> @t1010 (=> @t619 @t623)))) % 0.59/1.30 (assume @p932 (forall @t142 (=> @t646 (=> @t622 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1011 @t139))))) % 0.59/1.30 (assume @p933 (forall @t620 (=> @t618 (=> (not (= @t992 @t585)) @t1009)))) % 0.59/1.30 (assume @p934 (forall @t620 (=> @t618 @t1010))) % 0.59/1.30 (assume @p935 (forall @t591 (not (= @t381 @t992)))) % 0.59/1.30 (assume @p936 (forall @t636 (=> (not @t635) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t992) @t623)))) % 0.59/1.30 (assume @p937 (forall @t706 (=> (not @t633) @t1014))) % 0.59/1.30 (assume @p938 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1012 @t1003) @t607))) % 0.59/1.30 (assume @p939 (forall @t608 (= @t1015 @t609))) % 0.59/1.30 (assume @p940 (forall @t608 (= (not @t607) @t1013))) % 0.59/1.30 (assume @p941 (forall (@list @t1016) (not (= (tptp.c_Nat_OSuc @t1016) @t381)))) % 0.59/1.30 (assume @p942 (forall (@list @t1017) (not (= @t381 (tptp.c_Nat_OSuc @t1017))))) % 0.59/1.30 (assume @p943 (forall @t608 (= @t1015 (or @t692 (exists (@list @t1018) (and (= @t603 (tptp.c_Nat_OSuc @t1018)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1018 @t602))))))) % 0.59/1.30 (assume @p944 (forall @t704 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t602 @t1002) @t691))) % 0.59/1.30 (assume @p945 (forall @t704 (= @t688 (exists (@list @t822) (= @t602 (tptp.c_Nat_OSuc @t822)))))) % 0.59/1.30 (assume @p946 (forall @t163 (=> (= (tptp.c_Nat_OSuc @t15) (tptp.c_Nat_OSuc @t12)) @t107))) % 0.59/1.30 (assume @p947 (forall (@list @t1019 @t1020) (= (= (tptp.c_Nat_OSuc @t1020) (tptp.c_Nat_OSuc @t1019)) (= @t1020 @t1019)))) % 0.59/1.30 (assume @p948 (forall @t586 (not (= @t991 @t585)))) % 0.59/1.30 (assume @p949 (forall @t586 (not (= @t585 @t991)))) % 0.59/1.30 (assume @p950 (forall @t636 (=> @t659 (= @t1021 (tptp.c_Nat_OSuc @t616))))) % 0.59/1.30 (assume @p951 (forall @t620 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t992 @t991) @t616))) % 0.59/1.30 (assume @p952 (forall @t717 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1021 (tptp.c_Nat_OSuc @t139)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t616 @t139)))) % 0.59/1.30 (assume @p953 (forall @t620 (= @t1023 @t1022))) % 0.59/1.30 (assume @p954 (forall @t620 (= @t1024 @t1022))) % 0.59/1.30 (assume @p955 (forall @t620 (= @t1024 @t1023))) % 0.59/1.30 (assume @p956 (forall @t586 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t991 @t585)))) % 0.59/1.30 (assume @p957 (forall @t608 (= (not @t606) @t1025))) % 0.59/1.30 (assume @p958 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t603 @t1003) (or @t606 (= @t603 @t1003))))) % 0.59/1.30 (assume @p959 (forall @t706 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1003 @t1012) @t765))) % 0.59/1.30 (assume @p960 (forall @t620 (=> @t621 @t1026))) % 0.59/1.30 (assume @p961 (forall @t620 (=> @t1026 (=> (not @t621) (= @t164 @t991))))) % 0.59/1.30 (assume @p962 (forall @t620 (=> @t1027 @t621))) % 0.59/1.30 (assume @p963 (forall @t586 (= @t991 @t804))) % 0.59/1.30 (assume @p964 (forall @t586 (= @t991 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t803 @t585)))) % 0.59/1.30 (assume @p965 (forall @t620 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t164 @t991) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t809 @t585)))) % 0.59/1.30 (assume @p966 (forall @t586 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t991 @t803) @t585))) % 0.59/1.30 (assume @p967 (= @t803 @t1002)) % 0.59/1.30 (assume @p968 (forall @t632 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1008 @t1007) @t606))) % 0.59/1.30 (assume @p969 (forall @t620 (= (tptp.hAPP @t589 @t991) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t715)))) % 0.59/1.30 (assume @p970 (forall @t620 (= (tptp.hAPP (tptp.hAPP @t588 @t992) @t585) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t585 @t715)))) % 0.59/1.30 (assume @p971 (forall @t620 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t616 @t992))) % 0.59/1.30 (assume @p972 (forall @t706 (= @t633 @t1025))) % 0.59/1.30 (assume @p973 (forall @t608 (= @t1015 @t606))) % 0.59/1.30 (assume @p974 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1012 @t602) @t607))) % 0.59/1.30 (assume @p975 (forall @t620 (=> @t621 @t1010))) % 0.59/1.30 (assume @p976 (forall @t620 (=> @t618 @t1027))) % 0.59/1.30 (assume @p977 (forall @t608 (=> @t606 @t1014))) % 0.59/1.30 (assume @p978 (forall @t620 (=> @t1027 @t618))) % 0.59/1.30 (assume @p979 (forall @t1028 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t140 @t164))))) % 0.59/1.30 (assume @p980 (forall @t1028 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t140))))) % 0.59/1.30 (assume @p981 (forall @t608 (= @t607 (exists @t672 (= @t602 (tptp.c_Nat_OSuc @t671)))))) % 0.59/1.30 (assume @p982 (forall @t608 (= (= @t1002 @t699) @t1029))) % 0.59/1.30 (assume @p983 (forall @t608 (= (= @t699 @t1002) @t1029))) % 0.59/1.30 (assume @p984 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1002 @t690) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1002 @t603) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1002 @t602))))) % 0.59/1.30 (assume @p985 (forall @t586 (=> @t701 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t1002)) @t585)))) % 0.59/1.30 (assume @p986 (forall (@list @t140 @t585) (=> @t701 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t585 @t1011) @t585)))) % 0.59/1.30 (assume @p987 (forall @t1033 (=> (tptp.class_Lattices_Oboolean__algebra @t1030) (tptp.class_Lattices_Oboolean__algebra @t1032)))) % 0.59/1.30 (assume @p988 (forall @t1033 (=> (tptp.class_Orderings_Opreorder @t1030) (tptp.class_Orderings_Opreorder @t1032)))) % 0.59/1.30 (assume @p989 (forall @t1033 (=> (tptp.class_Orderings_Oorder @t1030) (tptp.class_Orderings_Oorder @t1032)))) % 0.59/1.30 (assume @p990 (forall @t1033 (=> (tptp.class_Orderings_Oord @t1030) (tptp.class_Orderings_Oord @t1032)))) % 0.59/1.30 (assume @p991 (forall @t1033 (=> (tptp.class_Groups_Ouminus @t1030) (tptp.class_Groups_Ouminus @t1032)))) % 0.59/1.30 (assume @p992 (forall @t1033 (=> (tptp.class_Groups_Ominus @t1030) (tptp.class_Groups_Ominus @t1032)))) % 0.59/1.30 (assume @p993 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p994 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p996 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p997 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p998 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1000 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1001 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1002 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1003 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1004 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1005 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1006 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1007 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1008 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1009 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1010 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1011 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1012 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1013 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1014 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1015 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1016 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1017 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1018 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1019 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1020 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1021 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1022 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1023 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1024 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1025 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1026 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1027 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1028 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1029 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1030 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1031 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1032 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1033 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1034 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1035 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1037 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1038 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1039 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1040 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1041 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1042 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.59/1.30 (assume @p1048 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1049 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1050 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1051 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1052 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1054 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1055 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1056 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1057 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1058 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1059 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1060 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1061 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1062 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1063 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1064 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1065 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1066 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1067 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1068 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1069 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1070 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1071 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1072 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1073 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1074 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1075 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1076 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1077 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1078 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1079 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1080 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1081 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1082 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.59/1.30 (assume @p1083 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1084 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1085 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1086 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1087 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1088 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.59/1.30 (assume @p1089 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1090 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1091 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1092 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1093 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1094 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1095 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1096 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1097 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1098 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1100 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1101 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1102 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1103 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1104 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1105 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1106 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1107 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1108 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1109 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1110 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1111 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1112 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1113 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1114 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1115 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1116 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1117 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1118 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1119 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1120 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1121 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1122 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1123 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1124 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1125 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1126 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1127 (tptp.class_RealVector_Odist__norm tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1128 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1129 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1130 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1131 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1132 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1133 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1134 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1135 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1136 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1137 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1138 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1139 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1140 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1141 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1142 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1143 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1144 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1145 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1146 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1147 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1148 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1149 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1150 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1151 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.59/1.30 (assume @p1152 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1153 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1154 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1155 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1156 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1157 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1158 @t1034) % 0.59/1.30 (assume @p1159 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1160 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1161 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1162 (tptp.class_RealVector_Oreal__algebra tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1163 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1164 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1165 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1166 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1167 (tptp.class_RealVector_Oreal__vector tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1168 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1169 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1170 (tptp.class_RealVector_Odist__norm tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1171 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1172 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1173 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1174 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1175 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1176 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1177 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1178 @t1035) % 0.59/1.30 (assume @p1179 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1180 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1181 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1182 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1183 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1184 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1185 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1186 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1187 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1188 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (assume @p1189 @t1038) % 0.59/1.30 (assume @p1190 true) % 0.59/1.30 (step @p1191 :rule eq-symm :args (@t1039 @t10)) % 0.59/1.30 (step @p1192 :rule refl :args (@t177)) % 0.59/1.30 (step @p1193 :rule cong :premises (@p1192 @p1191) :args ((=> @t177 @t1040))) % 0.59/1.30 (assume-push @p1249 @t177) % 0.59/1.30 (step @p1195 :rule instantiate :premises (@p88) :args (@t1041)) % 0.59/1.30 (step-pop @p1250 :rule scope :premises (@p1195)) % 0.59/1.30 (step @p1196 :rule process_scope :premises (@p1250) :args (@t1040)) % 0.59/1.30 (step @p1198 :rule eq_resolve :premises (@p1196 @p1193)) % 0.59/1.30 (step @p1199 :rule implies_elim :premises (@p1198)) % 0.59/1.30 (step @p1200 :rule chain_m_resolution :premises (@p1199 @p88) :args (@t1042 (@list false) (@list @t177))) % 0.59/1.30 (step @p1201 :rule bool-impl-elim :args (@t58 @t1043)) % 0.59/1.30 (step @p1202 :rule cong :premises (@p1201) :args ((forall @t64 (=> @t58 @t1043)))) % 0.59/1.30 (step @p1203 :rule eq-symm :args (@t81 @t40)) % 0.59/1.30 (step @p1204 :rule refl :args (@t58)) % 0.59/1.30 (step @p1205 :rule cong :premises (@p1204 @p1203) :args (@t82)) % 0.59/1.30 (step @p1206 :rule cong :premises (@p1205) :args (@t83)) % 0.59/1.30 (step @p1207 :rule trans :premises (@p1206 @p1202)) % 0.59/1.30 (step @p1208 :rule eq_resolve :premises (@p28 @p1207)) % 0.59/1.30 (step @p1209 :rule instantiate :premises (@p1208) :args ((@list tptp.v_z tptp.v_w tptp.tc_Complex_Ocomplex))) % 0.59/1.30 (step @p1210 :rule cnf_or_pos :args (@t1046)) % 0.59/1.30 (step @p1211 :rule reordering :premises (@p1210) :args ((or @t1045 @t1044 (not @t1046)))) % 0.59/1.30 (step @p1212 :rule chain_m_resolution :premises (@p1211 @p1178 @p1209) :args (@t1044 @t1047 (@list @t1035 @t1046))) % 0.59/1.30 (step @p1213 :rule bool-impl-elim :args (@t19 @t90)) % 0.59/1.30 (step @p1214 :rule cong :premises (@p1213) :args (@t91)) % 0.59/1.30 (step @p1215 :rule eq_resolve :premises (@p38 @p1214)) % 0.59/1.30 (step @p1216 :rule instantiate :premises (@p1215) :args ((@list tptp.v_z @t8 tptp.tc_Complex_Ocomplex))) % 0.59/1.30 (step @p1217 :rule cnf_or_pos :args (@t1051)) % 0.59/1.30 (step @p1218 :rule reordering :premises (@p1217) :args ((or @t1050 @t1049 (not @t1051)))) % 0.59/1.30 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1158 @p1216) :args (@t1049 @t1047 (@list @t1034 @t1051))) % 0.59/1.30 (step @p1220 :rule refl :args (@t1052)) % 0.59/1.30 (step @p1221 :rule refl :args (@t1053)) % 0.59/1.30 (step @p1222 :rule refl :args (@t1054)) % 0.59/1.30 (step @p1223 :rule bool-double-not-elim :args (@t1037)) % 0.59/1.30 (step @p1224 :rule nary_cong :premises (@p1223 @p1222 @p1221 @p1220) :args ((or (not @t1038) @t1054 @t1053 @t1052))) % 0.59/1.30 (assume-push @p1251 @t1038) % 0.59/1.30 (assume-push @p1252 @t1042) % 0.59/1.30 (assume-push @p1253 @t1044) % 0.59/1.30 (step @p1228 :rule false_intro :premises (@p1189)) % 0.59/1.30 (step @p1229 :rule refl :args (@t1036)) % 0.59/1.30 (step @p1230 :rule symm :premises (@p1212)) % 0.59/1.30 (step @p1231 :rule trans :premises (@p1200 @p1230)) % 0.59/1.30 (step @p1232 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 0.59/1.30 (step @p1233 :rule cong :premises (@p1232 @p1231) :args (@t11)) % 0.59/1.30 (step @p1195 :rule instantiate :premises (@p88) :args (@t1041)) % 0.59/1.30 (step @p1234 :rule cong :premises (@p1232 @p1195) :args (@t1048)) % 0.59/1.30 (step @p1235 :rule trans :premises (@p1234 @p1233)) % 0.59/1.30 (step @p1236 :rule refl :args (tptp.tc_RealDef_Oreal)) % 0.59/1.30 (step @p1237 :rule cong :premises (@p1236 @p1235 @p1229) :args (@t1049)) % 0.59/1.30 (step @p1238 :rule trans :premises (@p1237 @p1228)) % 0.59/1.30 (step @p1239 :rule false_elim :premises (@p1238)) % 0.59/1.30 (step-pop @p1254 :rule scope :premises (@p1239)) % 0.59/1.30 (step-pop @p1255 :rule scope :premises (@p1254)) % 0.59/1.30 (step-pop @p1256 :rule scope :premises (@p1255)) % 0.59/1.30 (step @p1240 :rule process_scope :premises (@p1256) :args (@t1052)) % 0.59/1.30 (step @p1244 :rule implies_elim :premises (@p1240)) % 0.59/1.30 (step @p1245 :rule cnf_and_neg :args (@t1055)) % 0.59/1.30 (step @p1246 :rule resolution :premises (@p1245 @p1244) :args (true @t1055)) % 0.59/1.30 (step @p1247 :rule eq_resolve :premises (@p1246 @p1224)) % 0.59/1.30 (step @p1248 false :rule chain_m_resolution :premises (@p1247 @p1219 @p1212 @p1200 @p1189) :args (false (@list false false false true) (@list @t1049 @t1044 @t1042 @t1037))) % 0.59/1.30 ) % 0.59/1.30 % SZS output end Proof % 0.59/1.30 % cvc5 exiting %------------------------------------------------------------------------------