%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW225+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 : n007.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 09:04:33 AM UTC 2026 % Result : Theorem 1.72s 2.01s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW225+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n007.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 21:40:41 EDT 2026 % 0.16/0.35 % CPUTime : % 0.43/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.72/2.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/2.01 % SZS status Theorem % 1.72/2.01 % SZS output start Proof % 1.72/2.01 ( % 1.72/2.01 (declare-sort $$unsorted 0) % 1.72/2.01 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.72/2.01 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Int_OPls $$unsorted) % 1.72/2.01 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Nat__Numeral_Oneg (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.72/2.01 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Int_Opred (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_SEQ_Omonoseq (-> $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.v_w____ $$unsorted) % 1.72/2.01 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.v_N1____ $$unsorted) % 1.72/2.01 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.v_f____ $$unsorted) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.v_N2____ $$unsorted) % 1.72/2.01 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.72/2.01 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.72/2.01 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.v_z____ $$unsorted) % 1.72/2.01 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.72/2.01 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.v_d____ $$unsorted) % 1.72/2.01 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.v_r $$unsorted) % 1.72/2.01 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.72/2.01 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.72/2.01 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.72/2.01 (define @t1 () (@var "V_ga_2" $$unsorted)) % 1.72/2.01 (define @t2 () (@var "V_fa_2" $$unsorted)) % 1.72/2.01 (define @t3 () (@var "B_x" $$unsorted)) % 1.72/2.01 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.72/2.01 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.72/2.01 (define @t6 () (@list @t3)) % 1.72/2.01 (define @t7 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_N1____ tptp.v_N2____)) % 1.72/2.01 (define @t8 () (tptp.hAPP tptp.v_f____ @t7)) % 1.72/2.01 (define @t9 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t8)) % 1.72/2.01 (define @t10 () (@var "V_x" $$unsorted)) % 1.72/2.01 (define @t11 () (@var "T_a" $$unsorted)) % 1.72/2.01 (define @t12 () (tptp.class_Orderings_Opreorder @t11)) % 1.72/2.01 (define @t13 () (@list @t10 @t11)) % 1.72/2.01 (define @t14 () (@var "V_n" $$unsorted)) % 1.72/2.01 (define @t15 () (@var "V_m" $$unsorted)) % 1.72/2.01 (define @t16 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t14)) % 1.72/2.01 (define @t17 () (tptp.c_Nat_OSuc @t16)) % 1.72/2.01 (define @t18 () (tptp.c_Nat_OSuc @t14)) % 1.72/2.01 (define @t19 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t18)) % 1.72/2.01 (define @t20 () (@list @t14 @t15)) % 1.72/2.01 (define @t21 () (tptp.c_Nat_OSuc @t15)) % 1.72/2.01 (define @t22 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t14)) % 1.72/2.01 (define @t23 () (@var "V_b_2" $$unsorted)) % 1.72/2.01 (define @t24 () (@var "V_a_2" $$unsorted)) % 1.72/2.01 (define @t25 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t23)) % 1.72/2.01 (define @t26 () (@var "V_c_2" $$unsorted)) % 1.72/2.01 (define @t27 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t23 @t26)) % 1.72/2.01 (define @t28 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t26)) % 1.72/2.01 (define @t29 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t11)) % 1.72/2.01 (define @t30 () (@list @t23 @t26 @t24 @t11)) % 1.72/2.01 (define @t31 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t26 @t23)) % 1.72/2.01 (define @t32 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t26 @t24)) % 1.72/2.01 (define @t33 () (@list @t23 @t24 @t26 @t11)) % 1.72/2.01 (define @t34 () (@var "V_c" $$unsorted)) % 1.72/2.01 (define @t35 () (@var "V_b" $$unsorted)) % 1.72/2.01 (define @t36 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t35 @t34)) % 1.72/2.01 (define @t37 () (@var "V_a" $$unsorted)) % 1.72/2.01 (define @t38 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t34)) % 1.72/2.01 (define @t39 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t38 @t36)) % 1.72/2.01 (define @t40 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t35)) % 1.72/2.01 (define @t41 () (tptp.class_Groups_Oordered__ab__semigroup__add @t11)) % 1.72/2.01 (define @t42 () (@list @t34 @t35 @t37 @t11)) % 1.72/2.01 (define @t43 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t34 @t35)) % 1.72/2.01 (define @t44 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t34 @t37)) % 1.72/2.01 (define @t45 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t44 @t43)) % 1.72/2.01 (define @t46 () (@var "V_d" $$unsorted)) % 1.72/2.01 (define @t47 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t35 @t46)) % 1.72/2.01 (define @t48 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t34 @t46)) % 1.72/2.01 (define @t49 () (@list @t46 @t34 @t35 @t37 @t11)) % 1.72/2.01 (define @t50 () (@list @t35 @t34 @t37 @t11)) % 1.72/2.01 (define @t51 () (@list @t35 @t37 @t34 @t11)) % 1.72/2.01 (define @t52 () (@list @t14)) % 1.72/2.01 (define @t53 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t15)) % 1.72/2.01 (define @t54 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t14)) % 1.72/2.01 (define @t55 () (= @t15 @t14)) % 1.72/2.01 (define @t56 () (@var "V_k" $$unsorted)) % 1.72/2.01 (define @t57 () (@var "V_i" $$unsorted)) % 1.72/2.01 (define @t58 () (@var "V_j" $$unsorted)) % 1.72/2.01 (define @t59 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t58)) % 1.72/2.01 (define @t60 () (@list @t56 @t58 @t57)) % 1.72/2.01 (define @t61 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t14)) % 1.72/2.01 (define @t62 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t18)) % 1.72/2.01 (define @t63 () (@var "V_m_2" $$unsorted)) % 1.72/2.01 (define @t64 () (@var "V_n_2" $$unsorted)) % 1.72/2.01 (define @t65 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t63)) % 1.72/2.01 (define @t66 () (tptp.c_Nat_OSuc @t63)) % 1.72/2.01 (define @t67 () (tptp.c_Nat_OSuc @t64)) % 1.72/2.01 (define @t68 () (@list @t63 @t64)) % 1.72/2.01 (define @t69 () (forall @t68 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t66) @t65))) % 1.72/2.01 (define @t70 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t64)) % 1.72/2.01 (define @t71 () (@list @t64 @t63)) % 1.72/2.01 (define @t72 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t63)) % 1.72/2.01 (define @t73 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t14)) % 1.72/2.01 (define @t74 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t56)) % 1.72/2.01 (define @t75 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t74 @t14)) % 1.72/2.01 (define @t76 () (@list @t14 @t56 @t15)) % 1.72/2.01 (define @t77 () (@var "V_l" $$unsorted)) % 1.72/2.01 (define @t78 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t77)) % 1.72/2.01 (define @t79 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t56)) % 1.72/2.01 (define @t80 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t77)) % 1.72/2.01 (define @t81 () (@list @t77 @t56 @t58 @t57)) % 1.72/2.01 (define @t82 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t56)) % 1.72/2.01 (define @t83 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t58)) % 1.72/2.01 (define @t84 () (@list @t15 @t58 @t57)) % 1.72/2.01 (define @t85 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t15)) % 1.72/2.01 (define @t86 () (@var "V_k_2" $$unsorted)) % 1.72/2.01 (define @t87 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t86 @t64)) % 1.72/2.01 (define @t88 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t86 @t63)) % 1.72/2.01 (define @t89 () (@list @t64 @t63 @t86)) % 1.72/2.01 (define @t90 () (@var "B_k" $$unsorted)) % 1.72/2.01 (define @t91 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t90)) % 1.72/2.01 (define @t92 () (@list @t90)) % 1.72/2.01 (define @t93 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t15)) % 1.72/2.01 (define @t94 () (@list @t15 @t14)) % 1.72/2.01 (define @t95 () (@var "V_y" $$unsorted)) % 1.72/2.01 (define @t96 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t10)) % 1.72/2.01 (define @t97 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t95)) % 1.72/2.01 (define @t98 () (tptp.class_Orderings_Olinorder @t11)) % 1.72/2.01 (define @t99 () (@list @t95 @t10 @t11)) % 1.72/2.01 (define @t100 () (@var "V_x_2" $$unsorted)) % 1.72/2.01 (define @t101 () (@var "T_b" $$unsorted)) % 1.72/2.01 (define @t102 () (tptp.tc_fun @t11 @t101)) % 1.72/2.01 (define @t103 () (tptp.c_Orderings_Oord__class_Oless__eq @t102 @t2 @t1)) % 1.72/2.01 (define @t104 () (tptp.class_Orderings_Oord @t101)) % 1.72/2.01 (define @t105 () (@var "V_z" $$unsorted)) % 1.72/2.01 (define @t106 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t105 @t95)) % 1.72/2.01 (define @t107 () (tptp.class_Orderings_Oorder @t11)) % 1.72/2.01 (define @t108 () (@list @t105 @t10 @t95 @t11)) % 1.72/2.01 (define @t109 () (= @t10 @t95)) % 1.72/2.01 (define @t110 () (@list @t10 @t95 @t11)) % 1.72/2.01 (define @t111 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t105)) % 1.72/2.01 (define @t112 () (@list @t105 @t95 @t10 @t11)) % 1.72/2.01 (define @t113 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t34 @t37)) % 1.72/2.01 (define @t114 () (= @t35 @t34)) % 1.72/2.01 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t35 @t37)) % 1.72/2.01 (define @t116 () (@list @t34 @t37 @t35 @t11)) % 1.72/2.01 (define @t117 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t34)) % 1.72/2.01 (define @t118 () (tptp.class_Orderings_Oord @t11)) % 1.72/2.01 (define @t119 () (= @t37 @t35)) % 1.72/2.01 (define @t120 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t35 @t34)) % 1.72/2.01 (define @t121 () (@var "V_y_2" $$unsorted)) % 1.72/2.01 (define @t122 () (= @t100 @t121)) % 1.72/2.01 (define @t123 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t100 @t121)) % 1.72/2.01 (define @t124 () (= @t123 @t122)) % 1.72/2.01 (define @t125 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t121 @t100)) % 1.72/2.01 (define @t126 () (@list @t100 @t121 @t11)) % 1.72/2.01 (define @t127 () (@list @t121 @t100 @t11)) % 1.72/2.01 (define @t128 () (@list @t1 @t2 @t11 @t101)) % 1.72/2.01 (define @t129 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t35 @t37)) % 1.72/2.01 (define @t130 () (tptp.class_Groups_Ocancel__semigroup__add @t11)) % 1.72/2.01 (define @t131 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t35)) % 1.72/2.01 (define @t132 () (=> (= @t131 @t38) @t114)) % 1.72/2.01 (define @t133 () (= @t23 @t26)) % 1.72/2.01 (define @t134 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t23 @t24)) % 1.72/2.01 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t131 @t34)) % 1.72/2.01 (define @t136 () (= @t135 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t36))) % 1.72/2.01 (define @t137 () (@list @t95 @t10)) % 1.72/2.01 (define @t138 () (@var "V_nat_H_2" $$unsorted)) % 1.72/2.01 (define @t139 () (@var "V_nat_2" $$unsorted)) % 1.72/2.01 (define @t140 () (= @t63 @t64)) % 1.72/2.01 (define @t141 () (@list @t64 @t86 @t63)) % 1.72/2.01 (define @t142 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t56)) % 1.72/2.01 (define @t143 () (@list @t56 @t14 @t15)) % 1.72/2.01 (define @t144 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t105)) % 1.72/2.01 (define @t145 () (@list @t105 @t95 @t10)) % 1.72/2.01 (define @t146 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat)) % 1.72/2.01 (define @t147 () (tptp.hAPP @t146 @t63)) % 1.72/2.01 (define @t148 () (tptp.hAPP @t146 @t64)) % 1.72/2.01 (define @t149 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t148 @t147)) % 1.72/2.01 (define @t150 () (forall @t68 (= @t149 @t65))) % 1.72/2.01 (define @t151 () (tptp.hAPP @t2 @t64)) % 1.72/2.01 (define @t152 () (tptp.c_SEQ_Osubseq @t2)) % 1.72/2.01 (define @t153 () (tptp.hAPP @t146 @t14)) % 1.72/2.01 (define @t154 () (tptp.hAPP @t146 @t15)) % 1.72/2.01 (define @t155 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t144)) % 1.72/2.01 (define @t156 () (@list @t95 @t105 @t10)) % 1.72/2.01 (define @t157 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t95)) % 1.72/2.01 (define @t158 () (@var "B_n" $$unsorted)) % 1.72/2.01 (define @t159 () (@var "V_l_2" $$unsorted)) % 1.72/2.01 (define @t160 () (@list @t158)) % 1.72/2.01 (define @t161 () (@list @t159 @t86)) % 1.72/2.01 (define @t162 () (@var "V_n_H_2" $$unsorted)) % 1.72/2.01 (define @t163 () (tptp.c_Nat_OSuc @t158)) % 1.72/2.01 (define @t164 () (tptp.hAPP @t2 @t163)) % 1.72/2.01 (define @t165 () (tptp.hAPP @t2 @t158)) % 1.72/2.01 (define @t166 () (= @t64 @t63)) % 1.72/2.01 (define @t167 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t95)) % 1.72/2.01 (define @t168 () (@var "V_w" $$unsorted)) % 1.72/2.01 (define @t169 () (= @t105 @t168)) % 1.72/2.01 (define @t170 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t168 @t105)) % 1.72/2.01 (define @t171 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t105 @t168)) % 1.72/2.01 (define @t172 () (@list @t168 @t105)) % 1.72/2.01 (define @t173 () (@list @t168)) % 1.72/2.01 (define @t174 () (@var "B_m" $$unsorted)) % 1.72/2.01 (define @t175 () (@var "V_X_2" $$unsorted)) % 1.72/2.01 (define @t176 () (tptp.hAPP @t175 @t174)) % 1.72/2.01 (define @t177 () (tptp.hAPP @t175 @t158)) % 1.72/2.01 (define @t178 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t158)) % 1.72/2.01 (define @t179 () (@list @t174 @t158)) % 1.72/2.01 (define @t180 () (forall @t179 (=> @t178 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t177 @t176)))) % 1.72/2.01 (define @t181 () (tptp.c_SEQ_Odecseq @t11 @t175)) % 1.72/2.01 (define @t182 () (@list @t175 @t11)) % 1.72/2.01 (define @t183 () (forall @t179 (=> @t178 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t176 @t177)))) % 1.72/2.01 (define @t184 () (tptp.c_SEQ_Oincseq @t11 @t175)) % 1.72/2.01 (define @t185 () (tptp.c_SEQ_Omonoseq @t11 @t175)) % 1.72/2.01 (define @t186 () (tptp.hAPP @t175 @t163)) % 1.72/2.01 (define @t187 () (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t186 @t177))) % 1.72/2.01 (define @t188 () (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t177 @t186))) % 1.72/2.01 (define @t189 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.72/2.01 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t153 @t189)) % 1.72/2.01 (define @t191 () (tptp.hAPP @t146 @t18)) % 1.72/2.01 (define @t192 () (tptp.class_Rings_Ocomm__semiring__1 @t11)) % 1.72/2.01 (define @t193 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t34 @t46)) % 1.72/2.01 (define @t194 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t193)) % 1.72/2.01 (define @t195 () (@list @t46 @t34 @t37 @t11)) % 1.72/2.01 (define @t196 () (tptp.c_Groups_Oone__class_Oone @t11)) % 1.72/2.01 (define @t197 () (@list @t100 @t11)) % 1.72/2.01 (define @t198 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t63)) % 1.72/2.01 (define @t199 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.72/2.01 (define @t200 () (tptp.c_Nat_OSuc @t199)) % 1.72/2.01 (define @t201 () (@var "V_i_2" $$unsorted)) % 1.72/2.01 (define @t202 () (@var "V_inc_2" $$unsorted)) % 1.72/2.01 (define @t203 () (tptp.class_Rings_Osemiring__1 @t11)) % 1.72/2.01 (define @t204 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t15)) % 1.72/2.01 (define @t205 () (tptp.c_Nat_OSuc @t58)) % 1.72/2.01 (define @t206 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t58 @t56)) % 1.72/2.01 (define @t207 () (tptp.c_Nat_OSuc @t206)) % 1.72/2.01 (define @t208 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t58)) % 1.72/2.01 (define @t209 () (@list @t15 @t58 @t56)) % 1.72/2.01 (define @t210 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t18)) % 1.72/2.01 (define @t211 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t14)) % 1.72/2.01 (define @t212 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.72/2.01 (define @t213 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t212)) % 1.72/2.01 (define @t214 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t212)) % 1.72/2.01 (define @t215 () (tptp.c_Nat_OSuc @t214)) % 1.72/2.01 (define @t216 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t14)) % 1.72/2.01 (define @t217 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t14)) % 1.72/2.01 (define @t218 () (= @t217 @t199)) % 1.72/2.01 (define @t219 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t64)) % 1.72/2.01 (define @t220 () (@list @t64)) % 1.72/2.01 (define @t221 () (= @t64 @t199)) % 1.72/2.01 (define @t222 () (@var "B_j" $$unsorted)) % 1.72/2.01 (define @t223 () (@list @t222)) % 1.72/2.01 (define @t224 () (= @t63 @t199)) % 1.72/2.01 (define @t225 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t67)) % 1.72/2.01 (define @t226 () (not @t221)) % 1.72/2.01 (define @t227 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t64)) % 1.72/2.01 (define @t228 () (not @t140)) % 1.72/2.01 (define @t229 () (tptp.c_Orderings_Oord__class_Oless @t11 @t121 @t100)) % 1.72/2.01 (define @t230 () (tptp.c_Orderings_Oord__class_Oless @t11 @t100 @t121)) % 1.72/2.01 (define @t231 () (not @t122)) % 1.72/2.01 (define @t232 () (not @t230)) % 1.72/2.01 (define @t233 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 1.72/2.01 (define @t234 () (= @t100 @t233)) % 1.72/2.01 (define @t235 () (tptp.class_Groups_Ozero @t11)) % 1.72/2.01 (define @t236 () (tptp.class_Groups_Ogroup__add @t11)) % 1.72/2.01 (define @t237 () (@list @t37 @t11)) % 1.72/2.01 (define @t238 () (@list @t15)) % 1.72/2.01 (define @t239 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t23)) % 1.72/2.01 (define @t240 () (= @t239 @t233)) % 1.72/2.01 (define @t241 () (= @t24 @t23)) % 1.72/2.01 (define @t242 () (tptp.class_Groups_Oab__group__add @t11)) % 1.72/2.01 (define @t243 () (@list @t23 @t24 @t11)) % 1.72/2.01 (define @t244 () (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t23)) % 1.72/2.01 (define @t245 () (tptp.class_Groups_Oordered__ab__group__add @t11)) % 1.72/2.01 (define @t246 () (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t10)) % 1.72/2.01 (define @t247 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t95)) % 1.72/2.01 (define @t248 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t58)) % 1.72/2.01 (define @t249 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t248 @t56)) % 1.72/2.01 (define @t250 () (= @t232 @t122)) % 1.72/2.01 (define @t251 () (not @t247)) % 1.72/2.01 (define @t252 () (not @t109)) % 1.72/2.01 (define @t253 () (=> @t252 (=> @t251 @t246))) % 1.72/2.01 (define @t254 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t95)) % 1.72/2.01 (define @t255 () (tptp.c_Nat_OSuc @t57)) % 1.72/2.01 (define @t256 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t15)) % 1.72/2.01 (define @t257 () (= @t14 @t199)) % 1.72/2.01 (define @t258 () (not @t257)) % 1.72/2.01 (define @t259 () (not @t55)) % 1.72/2.01 (define @t260 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t15)) % 1.72/2.01 (define @t261 () (@var "V_t" $$unsorted)) % 1.72/2.01 (define @t262 () (@var "V_s" $$unsorted)) % 1.72/2.01 (define @t263 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t58 @t56)) % 1.72/2.01 (define @t264 () (tptp.c_Orderings_Oord__class_Oless @t11 @t35 @t37)) % 1.72/2.01 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t35)) % 1.72/2.01 (define @t266 () (@list @t35 @t37 @t11)) % 1.72/2.01 (define @t267 () (@list @t37 @t35 @t11)) % 1.72/2.01 (define @t268 () (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t34)) % 1.72/2.01 (define @t269 () (tptp.c_Orderings_Oord__class_Oless @t11 @t35 @t34)) % 1.72/2.01 (define @t270 () (tptp.c_Orderings_Oord__class_Oless @t11 @t34 @t37)) % 1.72/2.01 (define @t271 () (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t105)) % 1.72/2.01 (define @t272 () (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t105) @t271)) % 1.72/2.01 (define @t273 () (tptp.c_Orderings_Oord__class_Oless @t11 @t105 @t10)) % 1.72/2.01 (define @t274 () (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t105 @t95) @t273)) % 1.72/2.01 (define @t275 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t15)) % 1.72/2.01 (define @t276 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t14)) % 1.72/2.01 (define @t277 () (@list @t77 @t14 @t15)) % 1.72/2.01 (define @t278 () (@var "V_da_2" $$unsorted)) % 1.72/2.01 (define @t279 () (= @t26 @t278)) % 1.72/2.01 (define @t280 () (= @t239 (tptp.c_Groups_Ominus__class_Ominus @t11 @t26 @t278))) % 1.72/2.01 (define @t281 () (@list @t278 @t26 @t23 @t24 @t11)) % 1.72/2.01 (define @t282 () (@var "V_P_2" $$unsorted)) % 1.72/2.01 (define @t283 () (tptp.hAPP @t282 @t64)) % 1.72/2.01 (define @t284 () (tptp.hBOOL (tptp.hAPP @t283 @t63))) % 1.72/2.01 (define @t285 () (@list @t34 @t35 @t37)) % 1.72/2.01 (define @t286 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t64 @t86)) % 1.72/2.01 (define @t287 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t86)) % 1.72/2.01 (define @t288 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t86 @t64)) % 1.72/2.01 (define @t289 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t86 @t63)) % 1.72/2.01 (define @t290 () (@var "V_j_2" $$unsorted)) % 1.72/2.01 (define @t291 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t201 @t86)) % 1.72/2.01 (define @t292 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t290 @t86)) % 1.72/2.01 (define @t293 () (@list @t86 @t290 @t201)) % 1.72/2.01 (define @t294 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t217) @t15)) % 1.72/2.01 (define @t295 () (not @t211)) % 1.72/2.01 (define @t296 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t24)) % 1.72/2.01 (define @t297 () (tptp.class_Groups_Olinordered__ab__group__add @t11)) % 1.72/2.01 (define @t298 () (@list @t24 @t11)) % 1.72/2.01 (define @t299 () (= (tptp.c_Orderings_Oord__class_Oless @t11 @t296 @t233) (tptp.c_Orderings_Oord__class_Oless @t11 @t24 @t233))) % 1.72/2.01 (define @t300 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t131)) % 1.72/2.01 (define @t301 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t35)) % 1.72/2.01 (define @t302 () (=> @t301 @t300)) % 1.72/2.01 (define @t303 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t37)) % 1.72/2.01 (define @t304 () (tptp.class_Groups_Oordered__comm__monoid__add @t11)) % 1.72/2.01 (define @t305 () (tptp.c_Orderings_Oord__class_Oless @t11 @t131 @t233)) % 1.72/2.01 (define @t306 () (tptp.c_Orderings_Oord__class_Oless @t11 @t35 @t233)) % 1.72/2.01 (define @t307 () (=> @t306 @t305)) % 1.72/2.01 (define @t308 () (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t233)) % 1.72/2.01 (define @t309 () (@var "B_d" $$unsorted)) % 1.72/2.01 (define @t310 () (tptp.hBOOL (tptp.hAPP @t282 @t309))) % 1.72/2.01 (define @t311 () (= @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t309))) % 1.72/2.01 (define @t312 () (@list @t309)) % 1.72/2.01 (define @t313 () (tptp.hBOOL (tptp.hAPP @t282 @t199))) % 1.72/2.01 (define @t314 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t23)) % 1.72/2.01 (define @t315 () (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t23)))) % 1.72/2.01 (define @t316 () (@list @t23 @t24 @t282)) % 1.72/2.01 (define @t317 () (not @t313)) % 1.72/2.01 (define @t318 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t63)) % 1.72/2.01 (define @t319 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t64)) % 1.72/2.01 (define @t320 () (= @t15 @t199)) % 1.72/2.01 (define @t321 () (not @t320)) % 1.72/2.01 (define @t322 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t35)) % 1.72/2.01 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t37)) % 1.72/2.01 (define @t324 () (tptp.c_Orderings_Oord__class_Oless @t11 @t35 @t38)) % 1.72/2.01 (define @t325 () (=> @t269 @t324)) % 1.72/2.01 (define @t326 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t35 @t233)) % 1.72/2.01 (define @t327 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t233)) % 1.72/2.01 (define @t328 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t35)) % 1.72/2.01 (define @t329 () (not @t119)) % 1.72/2.01 (define @t330 () (tptp.c_Orderings_Oord__class_Oless @t11 @t38 @t36)) % 1.72/2.01 (define @t331 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t11)) % 1.72/2.01 (define @t332 () (tptp.c_Orderings_Oord__class_Oless @t11 @t44 @t43)) % 1.72/2.01 (define @t333 () (tptp.c_Orderings_Oord__class_Oless @t11 @t38 @t47)) % 1.72/2.01 (define @t334 () (tptp.c_Orderings_Oord__class_Oless @t11 @t34 @t46)) % 1.72/2.01 (define @t335 () (=> @t334 @t333)) % 1.72/2.01 (define @t336 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t14)) % 1.72/2.01 (define @t337 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t14)) % 1.72/2.01 (define @t338 () (@list @t14 @t15 @t56)) % 1.72/2.01 (define @t339 () (@list @t14 @t57)) % 1.72/2.01 (define @t340 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t66)) % 1.72/2.01 (define @t341 () (or @t227 @t140)) % 1.72/2.01 (define @t342 () (= @t340 @t166)) % 1.72/2.01 (define @t343 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t18)) % 1.72/2.01 (define @t344 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t14)) % 1.72/2.01 (define @t345 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t58)) % 1.72/2.01 (define @t346 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t121)) % 1.72/2.01 (define @t347 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t100 @t121)) % 1.72/2.01 (define @t348 () (@list @t121 @t100)) % 1.72/2.01 (define @t349 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t144)) % 1.72/2.01 (define @t350 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t58)) % 1.72/2.01 (define @t351 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t57)) % 1.72/2.01 (define @t352 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t77)) % 1.72/2.01 (define @t353 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t233 @t37) @t37)) % 1.72/2.01 (define @t354 () (tptp.class_Groups_Omonoid__add @t11)) % 1.72/2.01 (define @t355 () (tptp.class_Groups_Ocomm__monoid__add @t11)) % 1.72/2.01 (define @t356 () (= @t24 @t233)) % 1.72/2.01 (define @t357 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t233) @t37)) % 1.72/2.01 (define @t358 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t11)) % 1.72/2.01 (define @t359 () (@var "V_nat_H" $$unsorted)) % 1.72/2.01 (define @t360 () (@var "V_nat_H_1" $$unsorted)) % 1.72/2.01 (define @t361 () (@list @t2)) % 1.72/2.01 (define @t362 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t206 @t57)) % 1.72/2.01 (define @t363 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t351 @t56)) % 1.72/2.01 (define @t364 () (@list @t57 @t58 @t56)) % 1.72/2.01 (define @t365 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t206)) % 1.72/2.01 (define @t366 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t350 @t56)) % 1.72/2.01 (define @t367 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t290 @t201)) % 1.72/2.01 (define @t368 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t201 @t290)) % 1.72/2.01 (define @t369 () (@list @t15 @t57)) % 1.72/2.01 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t24)) % 1.72/2.01 (define @t371 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t24 @t233)) % 1.72/2.01 (define @t372 () (= @t121 @t233)) % 1.72/2.01 (define @t373 () (and @t234 @t372)) % 1.72/2.01 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t35 @t38)) % 1.72/2.01 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t34)) % 1.72/2.01 (define @t376 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t212 @t14)) % 1.72/2.01 (define @t377 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t212)) % 1.72/2.01 (define @t378 () (= @t64 @t200)) % 1.72/2.01 (define @t379 () (= @t63 @t200)) % 1.72/2.01 (define @t380 () (or (and @t379 @t221) (and @t224 @t378))) % 1.72/2.01 (define @t381 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t196 @t196)) % 1.72/2.01 (define @t382 () (tptp.class_Rings_Olinordered__semidom @t11)) % 1.72/2.01 (define @t383 () (@list @t11)) % 1.72/2.01 (define @t384 () (tptp.c_Nat_OSuc @t200)) % 1.72/2.01 (define @t385 () (@list @t10)) % 1.72/2.01 (define @t386 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t196)) % 1.72/2.01 (define @t387 () (tptp.class_Rings_Olinordered__idom @t11)) % 1.72/2.01 (define @t388 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.72/2.01 (define @t389 () (tptp.class_Rings_Ozero__neq__one @t11)) % 1.72/2.01 (define @t390 () (@var "V_e" $$unsorted)) % 1.72/2.01 (define @t391 () (@list @t46 @t35 @t34 @t37 @t11)) % 1.72/2.01 (define @t392 () (tptp.c_RComplete_Onatceiling @t10)) % 1.72/2.01 (define @t393 () (@list @t10 @t14)) % 1.72/2.01 (define @t394 () (@var "B_i" $$unsorted)) % 1.72/2.01 (define @t395 () (tptp.hBOOL (tptp.hAPP @t282 @t394))) % 1.72/2.01 (define @t396 () (@list @t394)) % 1.72/2.01 (define @t397 () (@var "V_v" $$unsorted)) % 1.72/2.01 (define @t398 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t397)) % 1.72/2.01 (define @t399 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t398 @t212)) % 1.72/2.01 (define @t400 () (@list @t397)) % 1.72/2.01 (define @t401 () (@var "V_pa_2" $$unsorted)) % 1.72/2.01 (define @t402 () (@var "V_wa_2" $$unsorted)) % 1.72/2.01 (define @t403 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t402)) % 1.72/2.01 (define @t404 () (tptp.class_Int_Onumber @t11)) % 1.72/2.01 (define @t405 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t121)) % 1.72/2.01 (define @t406 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t100)) % 1.72/2.01 (define @t407 () (tptp.class_Int_Onumber__ring @t11)) % 1.72/2.01 (define @t408 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t24)) % 1.72/2.01 (define @t409 () (tptp.class_Groups_Oordered__ab__group__add__abs @t11)) % 1.72/2.01 (define @t410 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t37)) % 1.72/2.01 (define @t411 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t35)) % 1.72/2.01 (define @t412 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t410 @t411)) % 1.72/2.01 (define @t413 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t35 @t37)) % 1.72/2.01 (define @t414 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t413)) % 1.72/2.01 (define @t415 () (tptp.c_Groups_Oabs__class_Oabs @t11 @t328)) % 1.72/2.01 (define @t416 () (and @t407 @t387)) % 1.72/2.01 (define @t417 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t397 @t168)) % 1.72/2.01 (define @t418 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t417)) % 1.72/2.01 (define @t419 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t168)) % 1.72/2.01 (define @t420 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t397)) % 1.72/2.01 (define @t421 () (@list @t105 @t168 @t397 @t11)) % 1.72/2.01 (define @t422 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t420 @t419)) % 1.72/2.01 (define @t423 () (@list @t168 @t397 @t11)) % 1.72/2.01 (define @t424 () (tptp.hAPP @t146 @t10)) % 1.72/2.01 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t388)) % 1.72/2.01 (define @t426 () (= @t410 @t37)) % 1.72/2.01 (define @t427 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t410 @t411)) % 1.72/2.01 (define @t428 () (@var "V_ra_2" $$unsorted)) % 1.72/2.01 (define @t429 () (@var "V_v_2" $$unsorted)) % 1.72/2.01 (define @t430 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t429)) % 1.72/2.01 (define @t431 () (tptp.hAPP @t146 @t37)) % 1.72/2.01 (define @t432 () (@list @t37 @t10)) % 1.72/2.01 (define @t433 () (tptp.hAPP @t146 @t24)) % 1.72/2.01 (define @t434 () (tptp.c_RComplete_Onatceiling @t100)) % 1.72/2.01 (define @t435 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t100)) % 1.72/2.01 (define @t436 () (@list @t24 @t100)) % 1.72/2.01 (define @t437 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t10 @t431)) % 1.72/2.01 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t431 @t10)) % 1.72/2.01 (define @t439 () (@list @t10 @t37)) % 1.72/2.01 (define @t440 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t35 @t46)) % 1.72/2.01 (define @t441 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t34)) % 1.72/2.01 (define @t442 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t131 @t193)) % 1.72/2.01 (define @t443 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t10)) % 1.72/2.01 (define @t444 () (@list @t100)) % 1.72/2.01 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t431)) % 1.72/2.01 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t10)) % 1.72/2.01 (define @t447 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t189)) % 1.72/2.01 (define @t448 () (tptp.hAPP @t146 @t158)) % 1.72/2.01 (define @t449 () (@var "V_r" $$unsorted)) % 1.72/2.01 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t449)) % 1.72/2.01 (define @t451 () (@list @t449)) % 1.72/2.01 (define @t452 () (tptp.c_RComplete_Onatfloor @t10)) % 1.72/2.01 (define @t453 () (@var "B_y" $$unsorted)) % 1.72/2.01 (define @t454 () (@list @t453)) % 1.72/2.01 (define @t455 () (tptp.hAPP @t146 @t163)) % 1.72/2.01 (define @t456 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.72/2.01 (define @t457 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.72/2.01 (define @t458 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t457 @t105)) % 1.72/2.01 (define @t459 () (@list @t105)) % 1.72/2.01 (define @t460 () (@var "V_za_2" $$unsorted)) % 1.72/2.01 (define @t461 () (@list @t460)) % 1.72/2.01 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t402 @t460)) % 1.72/2.01 (define @t463 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t402 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t460 @t457))) % 1.72/2.01 (define @t464 () (@list @t460 @t402)) % 1.72/2.01 (define @t465 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t402 @t460)) % 1.72/2.01 (define @t466 () (@list @t105 @t168)) % 1.72/2.01 (define @t467 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t159)) % 1.72/2.01 (define @t468 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t159)) % 1.72/2.01 (define @t469 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t86)) % 1.72/2.01 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t168 @t105)) % 1.72/2.01 (define @t471 () (@var "V_z_H" $$unsorted)) % 1.72/2.01 (define @t472 () (@var "V_w_H" $$unsorted)) % 1.72/2.01 (define @t473 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t58)) % 1.72/2.01 (define @t474 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t168)) % 1.72/2.01 (define @t475 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t397)) % 1.72/2.01 (define @t476 () (@list @t168 @t397)) % 1.72/2.01 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86 @t159)) % 1.72/2.01 (define @t478 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t14)) % 1.72/2.01 (define @t479 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t14)) % 1.72/2.01 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t168 @t105)) % 1.72/2.01 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t168)) % 1.72/2.01 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t57 @t58)) % 1.72/2.01 (define @t483 () (@var "V_z3" $$unsorted)) % 1.72/2.01 (define @t484 () (@var "V_z2" $$unsorted)) % 1.72/2.01 (define @t485 () (@var "V_z1" $$unsorted)) % 1.72/2.01 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t485 @t484)) % 1.72/2.01 (define @t487 () (@list @t483 @t484 @t485)) % 1.72/2.01 (define @t488 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t105)) % 1.72/2.01 (define @t489 () (tptp.hAPP @t146 @t452)) % 1.72/2.01 (define @t490 () (tptp.c_RComplete_Onatfloor @t37)) % 1.72/2.01 (define @t491 () (@var "B_N" $$unsorted)) % 1.72/2.01 (define @t492 () (tptp.hAPP @t146 (tptp.c_Nat_OSuc @t491))) % 1.72/2.01 (define @t493 () (tptp.c_RealVector_Onorm__class_Onorm @t101 @t177)) % 1.72/2.01 (define @t494 () (@list @t491)) % 1.72/2.01 (define @t495 () (@var "B_K" $$unsorted)) % 1.72/2.01 (define @t496 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t495)) % 1.72/2.01 (define @t497 () (@list @t495)) % 1.72/2.01 (define @t498 () (exists @t497 (and @t496 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t493 @t495))))) % 1.72/2.01 (define @t499 () (tptp.class_RealVector_Oreal__normed__vector @t101)) % 1.72/2.01 (define @t500 () (@list @t175 @t101)) % 1.72/2.01 (define @t501 () (tptp.c_RComplete_Onatfloor @t100)) % 1.72/2.01 (define @t502 () (@list @t14 @t10)) % 1.72/2.01 (define @t503 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t328)) % 1.72/2.01 (define @t504 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t35)) % 1.72/2.01 (define @t505 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t37)) % 1.72/2.01 (define @t506 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t505 @t504)) % 1.72/2.01 (define @t507 () (tptp.class_RealVector_Oreal__normed__vector @t11)) % 1.72/2.01 (define @t508 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.v_g____ (tptp.hAPP tptp.v_f____ @t158)) tptp.v_z____))) % 1.72/2.01 (define @t509 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 tptp.v_d____)) % 1.72/2.01 (define @t510 () (@list @t56)) % 1.72/2.01 (define @t511 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t449)) % 1.72/2.01 (define @t512 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t100)) % 1.72/2.01 (define @t513 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t10)) % 1.72/2.01 (define @t514 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t11)) % 1.72/2.01 (define @t515 () (@list @t168 @t11)) % 1.72/2.01 (define @t516 () (not @t234)) % 1.72/2.01 (define @t517 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t95)) % 1.72/2.01 (define @t518 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t95)) % 1.72/2.01 (define @t519 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t518)) % 1.72/2.01 (define @t520 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t517 @t262)) % 1.72/2.01 (define @t521 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t513 @t449)) % 1.72/2.01 (define @t522 () (@list @t262 @t95 @t449 @t10 @t11)) % 1.72/2.01 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t95)) % 1.72/2.01 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t10)) % 1.72/2.01 (define @t525 () (@var "B_e" $$unsorted)) % 1.72/2.01 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t491 @t158)) % 1.72/2.01 (define @t527 () (@var "B_N1" $$unsorted)) % 1.72/2.01 (define @t528 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t479)) % 1.72/2.01 (define @t529 () (not (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t14)))) % 1.72/2.01 (define @t530 () (@var "V_Z_2" $$unsorted)) % 1.72/2.01 (define @t531 () (tptp.c_Nat__Numeral_Oneg @t475)) % 1.72/2.01 (define @t532 () (@var "V_v_H_2" $$unsorted)) % 1.72/2.01 (define @t533 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t532)) % 1.72/2.01 (define @t534 () (tptp.c_Nat__Numeral_Oneg @t533)) % 1.72/2.01 (define @t535 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t429)) % 1.72/2.01 (define @t536 () (tptp.c_Nat__Numeral_Oneg @t535)) % 1.72/2.01 (define @t537 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t532)) % 1.72/2.01 (define @t538 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t429)) % 1.72/2.01 (define @t539 () (@list @t532 @t429)) % 1.72/2.01 (define @t540 () (@var "V_v_H" $$unsorted)) % 1.72/2.01 (define @t541 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t397 @t540))) % 1.72/2.01 (define @t542 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t540)) % 1.72/2.01 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t56)) % 1.72/2.01 (define @t544 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t398 @t543)) % 1.72/2.01 (define @t545 () (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t540))) % 1.72/2.01 (define @t546 () (not @t531)) % 1.72/2.01 (define @t547 () (@list @t56 @t540 @t397)) % 1.72/2.01 (define @t548 () (tptp.hAPP @t146 @t398)) % 1.72/2.01 (define @t549 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t64)) % 1.72/2.01 (define @t550 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t64)) % 1.72/2.01 (define @t551 () (not (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t64)))) % 1.72/2.01 (define @t552 () (@list @t100 @t64)) % 1.72/2.01 (define @t553 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Int_Osucc @t397))) % 1.72/2.01 (define @t554 () (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t398 @t14))) % 1.72/2.01 (define @t555 () (tptp.c_Nat_OSuc @t398)) % 1.72/2.01 (define @t556 () (@var "V_M_2" $$unsorted)) % 1.72/2.01 (define @t557 () (tptp.hAPP @t175 @t556)) % 1.72/2.01 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t556 @t158)) % 1.72/2.01 (define @t559 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (define @t560 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (define @t561 () (tptp.c_Int_Osucc @t56)) % 1.72/2.01 (define @t562 () (tptp.c_Nat__Transfer_Otsub @t10 @t95)) % 1.72/2.01 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t95 @t10)) % 1.72/2.01 (define @t564 () (=> @t563 (= @t562 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t10 @t95)))) % 1.72/2.01 (define @t565 () (@list @t10 @t95)) % 1.72/2.01 (define @t566 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t177)) % 1.72/2.01 (define @t567 () (tptp.c_SEQ_OBseq @t11 @t175)) % 1.72/2.01 (define @t568 () (exists @t497 (and @t496 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t566 @t495))))) % 1.72/2.01 (define @t569 () (@var "V_K_2" $$unsorted)) % 1.72/2.01 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t212 @t398)) % 1.72/2.01 (define @t571 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t397 tptp.c_Int_OPls)) % 1.72/2.01 (define @t572 () (not @t571)) % 1.72/2.01 (define @t573 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t398 @t212)) % 1.72/2.01 (define @t574 () (tptp.c_Int_Onumber__class_Onumber__of @t11 tptp.c_Int_OPls)) % 1.72/2.01 (define @t575 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.72/2.01 (define @t576 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.72/2.01 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t429 tptp.c_Int_OPls)) % 1.72/2.01 (define @t578 () (@list @t429)) % 1.72/2.01 (define @t579 () (= @t538 @t199)) % 1.72/2.01 (define @t580 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t429 @t532)) % 1.72/2.01 (define @t581 () (@list @t121 @t11)) % 1.72/2.01 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t398 @t542)) % 1.72/2.01 (define @t583 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t540 tptp.c_Int_OPls)) % 1.72/2.01 (define @t584 () (@list @t540 @t397)) % 1.72/2.01 (define @t585 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Int_Opred @t397))) % 1.72/2.01 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t397 tptp.c_Int_OPls)) % 1.72/2.01 (define @t587 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.72/2.01 (define @t588 () (tptp.hAPP (tptp.hAPP @t587 (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 @t10 @t105)) @t457)) @t46)) % 1.72/2.01 (define @t589 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t46)) % 1.72/2.01 (define @t590 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t11)) % 1.72/2.01 (define @t591 () (tptp.hAPP @t590 @t398)) % 1.72/2.01 (define @t592 () (= @t591 @t233)) % 1.72/2.01 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t475)) % 1.72/2.01 (define @t594 () (= @t591 @t420)) % 1.72/2.01 (define @t595 () (@list @t397 @t11)) % 1.72/2.01 (define @t596 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 1.72/2.01 (define @t597 () (tptp.hAPP @t596 @t56)) % 1.72/2.01 (define @t598 () (tptp.hAPP @t587 @t597)) % 1.72/2.01 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t56)) % 1.72/2.01 (define @t600 () (tptp.c_Groups_Otimes__class_Otimes @t11)) % 1.72/2.01 (define @t601 () (tptp.hAPP @t600 @t10)) % 1.72/2.01 (define @t602 () (tptp.class_RealVector_Oreal__normed__algebra @t11)) % 1.72/2.01 (define @t603 () (tptp.hAPP @t600 @t37)) % 1.72/2.01 (define @t604 () (= (tptp.hAPP @t603 @t233) @t233)) % 1.72/2.01 (define @t605 () (tptp.hAPP @t600 @t233)) % 1.72/2.01 (define @t606 () (@list @t95 @t11)) % 1.72/2.01 (define @t607 () (= (tptp.hAPP @t605 @t37) @t233)) % 1.72/2.01 (define @t608 () (tptp.class_Rings_Omult__zero @t11)) % 1.72/2.01 (define @t609 () (tptp.hAPP @t600 @t24)) % 1.72/2.01 (define @t610 () (tptp.hAPP @t609 @t23)) % 1.72/2.01 (define @t611 () (tptp.hAPP @t603 @t35)) % 1.72/2.01 (define @t612 () (= @t611 @t233)) % 1.72/2.01 (define @t613 () (= @t35 @t233)) % 1.72/2.01 (define @t614 () (not @t613)) % 1.72/2.01 (define @t615 () (= @t37 @t233)) % 1.72/2.01 (define @t616 () (not @t615)) % 1.72/2.01 (define @t617 () (tptp.class_Rings_Ono__zero__divisors @t11)) % 1.72/2.01 (define @t618 () (tptp.hAPP @t587 @t397)) % 1.72/2.01 (define @t619 () (tptp.hAPP @t618 @t168)) % 1.72/2.01 (define @t620 () (tptp.c_Int_Onumber__class_Onumber__of @t11 @t619)) % 1.72/2.01 (define @t621 () (tptp.hAPP @t600 @t420)) % 1.72/2.01 (define @t622 () (tptp.hAPP @t621 @t419)) % 1.72/2.01 (define @t623 () (tptp.hAPP @t596 @t14)) % 1.72/2.01 (define @t624 () (tptp.hAPP @t596 @t15)) % 1.72/2.01 (define @t625 () (tptp.hAPP @t590 @t14)) % 1.72/2.01 (define @t626 () (@list @t14 @t11)) % 1.72/2.01 (define @t627 () (@var "V_b_H" $$unsorted)) % 1.72/2.01 (define @t628 () (tptp.hAPP @t603 @t627)) % 1.72/2.01 (define @t629 () (@list @t627 @t35 @t37 @t11)) % 1.72/2.01 (define @t630 () (@var "V_xa" $$unsorted)) % 1.72/2.01 (define @t631 () (tptp.hAPP @t600 @t630)) % 1.72/2.01 (define @t632 () (tptp.hAPP @t631 @t95)) % 1.72/2.01 (define @t633 () (tptp.hAPP @t631 @t10)) % 1.72/2.01 (define @t634 () (@list @t95 @t10 @t630 @t11)) % 1.72/2.01 (define @t635 () (@var "V_a_H" $$unsorted)) % 1.72/2.01 (define @t636 () (tptp.hAPP (tptp.hAPP @t600 @t635) @t35)) % 1.72/2.01 (define @t637 () (@list @t35 @t635 @t37 @t11)) % 1.72/2.01 (define @t638 () (@var "V_ya" $$unsorted)) % 1.72/2.01 (define @t639 () (tptp.hAPP @t600 @t95)) % 1.72/2.01 (define @t640 () (tptp.hAPP @t639 @t638)) % 1.72/2.01 (define @t641 () (tptp.hAPP @t601 @t638)) % 1.72/2.01 (define @t642 () (@list @t638 @t95 @t10 @t11)) % 1.72/2.01 (define @t643 () (tptp.hAPP @t587 @t484)) % 1.72/2.01 (define @t644 () (tptp.hAPP @t643 @t168)) % 1.72/2.01 (define @t645 () (tptp.hAPP @t587 @t485)) % 1.72/2.01 (define @t646 () (tptp.hAPP @t645 @t168)) % 1.72/2.01 (define @t647 () (@list @t168 @t484 @t485)) % 1.72/2.01 (define @t648 () (tptp.hAPP @t587 @t168)) % 1.72/2.01 (define @t649 () (tptp.hAPP @t648 @t484)) % 1.72/2.01 (define @t650 () (tptp.hAPP @t648 @t485)) % 1.72/2.01 (define @t651 () (@list @t484 @t485 @t168)) % 1.72/2.01 (define @t652 () (tptp.hAPP @t600 @t131)) % 1.72/2.01 (define @t653 () (tptp.hAPP @t600 @t35)) % 1.72/2.01 (define @t654 () (tptp.hAPP @t653 @t34)) % 1.72/2.01 (define @t655 () (tptp.hAPP @t603 @t34)) % 1.72/2.01 (define @t656 () (= (tptp.hAPP @t652 @t34) (tptp.c_Groups_Oplus__class_Oplus @t11 @t655 @t654))) % 1.72/2.01 (define @t657 () (tptp.hAPP @t600 @t100)) % 1.72/2.01 (define @t658 () (tptp.hAPP @t600 @t402)) % 1.72/2.01 (define @t659 () (tptp.hAPP @t603 @t15)) % 1.72/2.01 (define @t660 () (tptp.hAPP @t600 @t23)) % 1.72/2.01 (define @t661 () (tptp.hAPP @t660 @t26)) % 1.72/2.01 (define @t662 () (tptp.hAPP @t609 @t26)) % 1.72/2.01 (define @t663 () (tptp.hAPP @t601 @t95)) % 1.72/2.01 (define @t664 () (tptp.hAPP @t603 @t37)) % 1.72/2.01 (define @t665 () (tptp.hAPP @t600 @t410)) % 1.72/2.01 (define @t666 () (tptp.hAPP @t665 @t411)) % 1.72/2.01 (define @t667 () (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t611) @t666)) % 1.72/2.01 (define @t668 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_RealDef_Oreal)) % 1.72/2.01 (define @t669 () (tptp.hAPP @t590 @t64)) % 1.72/2.01 (define @t670 () (tptp.hAPP @t590 @t63)) % 1.72/2.01 (define @t671 () (@list @t64 @t63 @t11)) % 1.72/2.01 (define @t672 () (tptp.hAPP @t590 @t15)) % 1.72/2.01 (define @t673 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.72/2.01 (define @t674 () (tptp.hAPP @t673 @t15)) % 1.72/2.01 (define @t675 () (tptp.hAPP @t674 @t14)) % 1.72/2.01 (define @t676 () (@list @t14 @t15 @t11)) % 1.72/2.01 (define @t677 () (@var "V_ry" $$unsorted)) % 1.72/2.01 (define @t678 () (@var "V_ly" $$unsorted)) % 1.72/2.01 (define @t679 () (tptp.hAPP @t600 @t678)) % 1.72/2.01 (define @t680 () (@var "V_rx" $$unsorted)) % 1.72/2.01 (define @t681 () (@var "V_lx" $$unsorted)) % 1.72/2.01 (define @t682 () (tptp.hAPP @t600 @t681)) % 1.72/2.01 (define @t683 () (tptp.hAPP @t600 (tptp.hAPP @t682 @t680))) % 1.72/2.01 (define @t684 () (tptp.hAPP @t600 @t680)) % 1.72/2.01 (define @t685 () (tptp.hAPP @t684 @t677)) % 1.72/2.01 (define @t686 () (tptp.hAPP @t600 (tptp.hAPP @t682 @t678))) % 1.72/2.01 (define @t687 () (tptp.hAPP @t686 @t685)) % 1.72/2.01 (define @t688 () (@list @t677 @t680 @t678 @t681 @t11)) % 1.72/2.01 (define @t689 () (tptp.hAPP @t686 @t680)) % 1.72/2.01 (define @t690 () (@list @t680 @t678 @t681 @t11)) % 1.72/2.01 (define @t691 () (tptp.hAPP @t682 @t685)) % 1.72/2.01 (define @t692 () (@list @t677 @t680 @t681 @t11)) % 1.72/2.01 (define @t693 () (tptp.hAPP @t653 @t37)) % 1.72/2.01 (define @t694 () (tptp.hAPP @t587 @t105)) % 1.72/2.01 (define @t695 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t485 @t484)) % 1.72/2.01 (define @t696 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.72/2.01 (define @t697 () (tptp.hAPP (tptp.hAPP @t696 @t513) @t517)) % 1.72/2.01 (define @t698 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t663)) % 1.72/2.01 (define @t699 () (tptp.class_RealVector_Oreal__normed__div__algebra @t11)) % 1.72/2.01 (define @t700 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t10 @t95)) % 1.72/2.01 (define @t701 () (tptp.hAPP @t600 @t700)) % 1.72/2.01 (define @t702 () (= (tptp.hAPP (tptp.hAPP @t600 @t196) @t37) @t37)) % 1.72/2.01 (define @t703 () (tptp.class_Groups_Omonoid__mult @t11)) % 1.72/2.01 (define @t704 () (tptp.class_Groups_Ocomm__monoid__mult @t11)) % 1.72/2.01 (define @t705 () (= (tptp.hAPP @t603 @t196) @t37)) % 1.72/2.01 (define @t706 () (@list @t15 @t11)) % 1.72/2.01 (define @t707 () (tptp.c_Orderings_Oord__class_Oless @t11 @t672 @t625)) % 1.72/2.01 (define @t708 () (tptp.hAPP @t596 @t199)) % 1.72/2.01 (define @t709 () (tptp.hAPP @t596 @t64)) % 1.72/2.01 (define @t710 () (tptp.class_Rings_Olinordered__ring @t11)) % 1.72/2.01 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t23 @t233)) % 1.72/2.01 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t23)) % 1.72/2.01 (define @t713 () (tptp.class_Rings_Olinordered__ring__strict @t11)) % 1.72/2.01 (define @t714 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t611)) % 1.72/2.01 (define @t715 () (tptp.class_Rings_Oordered__cancel__semiring @t11)) % 1.72/2.01 (define @t716 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t611 @t233)) % 1.72/2.01 (define @t717 () (tptp.class_Rings_Oordered__ring @t11)) % 1.72/2.01 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t655 @t654)) % 1.72/2.01 (define @t719 () (tptp.class_Rings_Oordered__semiring @t11)) % 1.72/2.01 (define @t720 () (tptp.hAPP @t600 @t34)) % 1.72/2.01 (define @t721 () (tptp.hAPP @t720 @t35)) % 1.72/2.01 (define @t722 () (tptp.hAPP @t720 @t37)) % 1.72/2.01 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t722 @t721)) % 1.72/2.01 (define @t724 () (=> @t40 (=> @t375 @t723))) % 1.72/2.01 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t34 @t233)) % 1.72/2.01 (define @t726 () (tptp.hAPP @t653 @t46)) % 1.72/2.01 (define @t727 () (=> @t375 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t655 @t726))) % 1.72/2.01 (define @t728 () (tptp.c_Orderings_Oord__class_Oless @t11 @t23 @t24)) % 1.72/2.01 (define @t729 () (tptp.c_Orderings_Oord__class_Oless @t11 @t26 @t233)) % 1.72/2.01 (define @t730 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t26)) % 1.72/2.01 (define @t731 () (or (and @t730 @t244) (and @t729 @t728))) % 1.72/2.01 (define @t732 () (tptp.hAPP @t600 @t26)) % 1.72/2.01 (define @t733 () (tptp.hAPP @t732 @t23)) % 1.72/2.01 (define @t734 () (tptp.hAPP @t732 @t24)) % 1.72/2.01 (define @t735 () (tptp.c_Orderings_Oord__class_Oless @t11 @t734 @t733)) % 1.72/2.01 (define @t736 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t611)) % 1.72/2.01 (define @t737 () (tptp.class_Rings_Olinordered__semiring__strict @t11)) % 1.72/2.01 (define @t738 () (tptp.c_Orderings_Oord__class_Oless @t11 @t611 @t233)) % 1.72/2.01 (define @t739 () (=> @t303 @t301)) % 1.72/2.01 (define @t740 () (tptp.c_Orderings_Oord__class_Oless @t11 @t655 @t654)) % 1.72/2.01 (define @t741 () (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t34)) % 1.72/2.01 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t11 @t722 @t721)) % 1.72/2.01 (define @t743 () (=> @t265 (=> @t741 @t742))) % 1.72/2.01 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t11 @t34 @t233)) % 1.72/2.01 (define @t745 () (tptp.hBOOL (tptp.hAPP @t282 (tptp.hAPP @t596 @t3)))) % 1.72/2.01 (define @t746 () (tptp.hBOOL (tptp.hAPP @t282 @t3))) % 1.72/2.01 (define @t747 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t3)) % 1.72/2.01 (define @t748 () (@list @t282)) % 1.72/2.01 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t657 @t100) (tptp.hAPP (tptp.hAPP @t600 @t121) @t121))) % 1.72/2.01 (define @t750 () (tptp.hAPP @t600 @t449)) % 1.72/2.01 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t121)) % 1.72/2.01 (define @t752 () (tptp.hAPP @t596 @t121)) % 1.72/2.01 (define @t753 () (tptp.hAPP @t596 @t100)) % 1.72/2.01 (define @t754 () (tptp.hAPP @t596 @t63)) % 1.72/2.01 (define @t755 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t121)) % 1.72/2.01 (define @t756 () (tptp.hAPP @t600 @t15)) % 1.72/2.01 (define @t757 () (tptp.c_Int_Onumber__class_Onumber__of @t101 @t397)) % 1.72/2.01 (define @t758 () (tptp.c_Groups_Otimes__class_Otimes @t101)) % 1.72/2.01 (define @t759 () (tptp.hAPP (tptp.hAPP @t758 @t35) @t757)) % 1.72/2.01 (define @t760 () (tptp.hAPP (tptp.hAPP @t758 @t37) @t757)) % 1.72/2.01 (define @t761 () (tptp.class_Int_Onumber @t101)) % 1.72/2.01 (define @t762 () (and @t761 (tptp.class_Rings_Osemiring @t101))) % 1.72/2.01 (define @t763 () (@list @t397 @t35 @t37 @t101)) % 1.72/2.01 (define @t764 () (tptp.hAPP @t758 @t757)) % 1.72/2.01 (define @t765 () (tptp.hAPP @t764 @t34)) % 1.72/2.01 (define @t766 () (tptp.hAPP @t764 @t35)) % 1.72/2.01 (define @t767 () (@list @t34 @t35 @t397 @t101)) % 1.72/2.01 (define @t768 () (tptp.hAPP @t596 @t158)) % 1.72/2.01 (define @t769 () (tptp.hAPP @t596 @t95)) % 1.72/2.01 (define @t770 () (tptp.hAPP @t596 @t10)) % 1.72/2.01 (define @t771 () (tptp.hAPP @t596 @t16)) % 1.72/2.01 (define @t772 () (@var "V_e_2" $$unsorted)) % 1.72/2.01 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Groups_Ominus__class_Ominus @t11 @t23 @t24)) @t772) @t278)) % 1.72/2.01 (define @t774 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t660 @t772) @t278)) % 1.72/2.01 (define @t775 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t609 @t772) @t26)) % 1.72/2.01 (define @t776 () (= @t775 @t774)) % 1.72/2.01 (define @t777 () (tptp.class_Rings_Oring @t11)) % 1.72/2.01 (define @t778 () (@list @t278 @t23 @t26 @t772 @t24 @t11)) % 1.72/2.01 (define @t779 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t600 @t239) @t772) @t26)) % 1.72/2.01 (define @t780 () (tptp.hAPP @t600 (tptp.c_Groups_Ominus__class_Ominus @t11 @t10 @t37))) % 1.72/2.01 (define @t781 () (tptp.hAPP @t780 @t35)) % 1.72/2.01 (define @t782 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t95 @t35)) % 1.72/2.01 (define @t783 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t663 @t611)) % 1.72/2.01 (define @t784 () (@list @t35 @t37 @t95 @t10 @t11)) % 1.72/2.01 (define @t785 () (tptp.hAPP (tptp.hAPP @t600 @t386) @t15)) % 1.72/2.01 (define @t786 () (and @t761 (tptp.class_Rings_Oring @t101))) % 1.72/2.01 (define @t787 () (tptp.hAPP @t596 @t212)) % 1.72/2.01 (define @t788 () (tptp.hAPP @t587 @t56)) % 1.72/2.01 (define @t789 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t56)) % 1.72/2.01 (define @t790 () (tptp.class_Rings_Oring__1 @t11)) % 1.72/2.01 (define @t791 () (@list @t15 @t14 @t11)) % 1.72/2.01 (define @t792 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t734 @t733)) % 1.72/2.01 (define @t793 () (tptp.c_Orderings_Oord__class_Oless @t11 @t655 @t726)) % 1.72/2.01 (define @t794 () (=> @t375 @t793)) % 1.72/2.01 (define @t795 () (=> @t375 @t265)) % 1.72/2.01 (define @t796 () (=> @t740 @t795)) % 1.72/2.01 (define @t797 () (tptp.class_Rings_Olinordered__semiring @t11)) % 1.72/2.01 (define @t798 () (=> @t742 @t795)) % 1.72/2.01 (define @t799 () (=> @t741 @t40)) % 1.72/2.01 (define @t800 () (tptp.hAPP @t601 @t10)) % 1.72/2.01 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t800 (tptp.hAPP @t639 @t95))) % 1.72/2.01 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t196)) % 1.72/2.01 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t95)) % 1.72/2.01 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t10)) % 1.72/2.01 (define @t805 () (tptp.hAPP @t639 @t10)) % 1.72/2.01 (define @t806 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t775 @t774)) % 1.72/2.01 (define @t807 () (tptp.c_Orderings_Oord__class_Oless @t11 @t775 @t774)) % 1.72/2.01 (define @t808 () (@var "V_u" $$unsorted)) % 1.72/2.01 (define @t809 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t600 @t808) @t10) (tptp.hAPP (tptp.hAPP @t600 @t397) @t95))) % 1.72/2.01 (define @t810 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t808 @t397) @t196)) % 1.72/2.01 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t397)) % 1.72/2.01 (define @t812 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t808)) % 1.72/2.01 (define @t813 () (@list @t397 @t808 @t95 @t37 @t10 @t11)) % 1.72/2.01 (define @t814 () (tptp.hAPP @t596 @t398)) % 1.72/2.01 (define @t815 () (tptp.hBOOL (tptp.hAPP @t282 @t456))) % 1.72/2.01 (define @t816 () (@var "V_q" $$unsorted)) % 1.72/2.01 (define @t817 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t449)) % 1.72/2.01 (define @t818 () (= @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t449 (tptp.hAPP (tptp.hAPP @t587 @t37) @t816)))) % 1.72/2.01 (define @t819 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t37)) % 1.72/2.01 (define @t820 () (@list @t816 @t449 @t37)) % 1.72/2.01 (define @t821 () (@var "V_q_H" $$unsorted)) % 1.72/2.01 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t816)) % 1.72/2.01 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t627 @t35)) % 1.72/2.01 (define @t824 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t627)) % 1.72/2.01 (define @t825 () (@var "V_r_H" $$unsorted)) % 1.72/2.01 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t825)) % 1.72/2.01 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t449 @t35)) % 1.72/2.01 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t587 @t627) @t821) @t825)) % 1.72/2.01 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t828 @t456)) % 1.72/2.01 (define @t830 () (tptp.hAPP @t587 @t35)) % 1.72/2.01 (define @t831 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t816) @t449)) % 1.72/2.01 (define @t832 () (= @t831 @t828)) % 1.72/2.01 (define @t833 () (@list @t825 @t821 @t627 @t449 @t816 @t35)) % 1.72/2.01 (define @t834 () (not (= @t26 @t388))) % 1.72/2.01 (define @t835 () (@list @t23 @t24 @t26)) % 1.72/2.01 (define @t836 () (tptp.hAPP @t696 @t26)) % 1.72/2.01 (define @t837 () (tptp.hAPP @t673 @t63)) % 1.72/2.01 (define @t838 () (tptp.hAPP @t837 @t64)) % 1.72/2.01 (define @t839 () (= @t86 @t199)) % 1.72/2.01 (define @t840 () (or @t140 @t839)) % 1.72/2.01 (define @t841 () (tptp.hAPP @t673 @t86)) % 1.72/2.01 (define @t842 () (tptp.hAPP @t841 @t64)) % 1.72/2.01 (define @t843 () (tptp.hAPP @t841 @t63)) % 1.72/2.01 (define @t844 () (= @t843 @t842)) % 1.72/2.01 (define @t845 () (tptp.hAPP @t673 @t64)) % 1.72/2.01 (define @t846 () (tptp.hAPP @t845 @t86)) % 1.72/2.01 (define @t847 () (tptp.hAPP @t837 @t86)) % 1.72/2.01 (define @t848 () (tptp.hAPP @t673 @t14)) % 1.72/2.01 (define @t849 () (tptp.hAPP @t848 @t56)) % 1.72/2.01 (define @t850 () (tptp.hAPP @t674 @t56)) % 1.72/2.01 (define @t851 () (tptp.hAPP @t673 @t56)) % 1.72/2.01 (define @t852 () (tptp.hAPP @t851 @t14)) % 1.72/2.01 (define @t853 () (tptp.hAPP @t851 @t15)) % 1.72/2.01 (define @t854 () (tptp.hAPP @t696 @t484)) % 1.72/2.01 (define @t855 () (tptp.hAPP @t696 @t485)) % 1.72/2.01 (define @t856 () (tptp.hAPP @t696 @t105)) % 1.72/2.01 (define @t857 () (tptp.hAPP @t848 @t15)) % 1.72/2.01 (define @t858 () (tptp.hAPP @t596 @t675)) % 1.72/2.01 (define @t859 () (tptp.hAPP (tptp.hAPP @t587 @t624) @t623)) % 1.72/2.01 (define @t860 () (tptp.hAPP @t673 @t58)) % 1.72/2.01 (define @t861 () (tptp.hAPP @t673 @t57)) % 1.72/2.01 (define @t862 () (tptp.hAPP @t861 @t56)) % 1.72/2.01 (define @t863 () (tptp.hAPP @t851 @t58)) % 1.72/2.01 (define @t864 () (tptp.hAPP @t851 @t57)) % 1.72/2.01 (define @t865 () (tptp.hAPP @t860 @t56)) % 1.72/2.01 (define @t866 () (tptp.hAPP @t674 @t15)) % 1.72/2.01 (define @t867 () (tptp.hAPP @t673 (tptp.c_Nat_OSuc @t86))) % 1.72/2.01 (define @t868 () (tptp.hAPP @t867 @t64)) % 1.72/2.01 (define @t869 () (tptp.hAPP @t867 @t63)) % 1.72/2.01 (define @t870 () (and (= @t63 @t212) (= @t64 @t212))) % 1.72/2.01 (define @t871 () (@list @t35 @t37)) % 1.72/2.01 (define @t872 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t86)) % 1.72/2.01 (define @t873 () (and @t872 @t227)) % 1.72/2.01 (define @t874 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t843 @t842)) % 1.72/2.01 (define @t875 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t95)) % 1.72/2.01 (define @t876 () (tptp.hAPP @t696 @t121)) % 1.72/2.01 (define @t877 () (tptp.hAPP @t876 @t460)) % 1.72/2.01 (define @t878 () (tptp.hAPP @t696 @t100)) % 1.72/2.01 (define @t879 () (tptp.hAPP @t878 @t460)) % 1.72/2.01 (define @t880 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t460)) % 1.72/2.01 (define @t881 () (@list @t121 @t100 @t460)) % 1.72/2.01 (define @t882 () (= @t100 @t388)) % 1.72/2.01 (define @t883 () (tptp.hAPP @t878 @t100)) % 1.72/2.01 (define @t884 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (define @t885 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t15)) % 1.72/2.01 (define @t886 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t14)) % 1.72/2.01 (define @t887 () (tptp.hAPP @t696 @t460)) % 1.72/2.01 (define @t888 () (=> @t872 @t70)) % 1.72/2.01 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t843 @t842)) % 1.72/2.01 (define @t890 () (tptp.hAPP @t696 @t34)) % 1.72/2.01 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t34 @t388)) % 1.72/2.01 (define @t892 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.hAPP @t618 @t540))) % 1.72/2.01 (define @t893 () (tptp.hAPP @t673 @t398)) % 1.72/2.01 (define @t894 () (tptp.hAPP @t893 @t542)) % 1.72/2.01 (define @t895 () (tptp.hAPP @t893 (tptp.hAPP (tptp.hAPP @t673 @t542) @t56))) % 1.72/2.01 (define @t896 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t627)) % 1.72/2.01 (define @t897 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t828)) % 1.72/2.01 (define @t898 () (@list @t825 @t821 @t627)) % 1.72/2.01 (define @t899 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t821) @t825) @t831)) % 1.72/2.01 (define @t900 () (@list @t449 @t816 @t825 @t821 @t35)) % 1.72/2.01 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t816 @t821)) % 1.72/2.01 (define @t902 () (@var "V_u_2" $$unsorted)) % 1.72/2.01 (define @t903 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t367) @t902) @t64)) % 1.72/2.01 (define @t904 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t290) @t902) @t64)) % 1.72/2.01 (define @t905 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t201) @t902) @t63)) % 1.72/2.01 (define @t906 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t905 @t904)) % 1.72/2.01 (define @t907 () (@list @t64 @t63 @t902 @t290 @t201)) % 1.72/2.01 (define @t908 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t201 @t290)) @t902) @t63)) % 1.72/2.01 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t290 @t201)) % 1.72/2.01 (define @t910 () (@list @t64 @t63 @t902 @t201 @t290)) % 1.72/2.01 (define @t911 () (tptp.hAPP @t860 @t808)) % 1.72/2.01 (define @t912 () (tptp.hAPP @t861 @t808)) % 1.72/2.01 (define @t913 () (= @t905 @t904)) % 1.72/2.01 (define @t914 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t912 @t15) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t911 @t14))) % 1.72/2.01 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t905 @t904)) % 1.72/2.01 (define @t916 () (tptp.hAPP (tptp.hAPP @t696 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t3)) @t495)) % 1.72/2.01 (define @t917 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t600 @t3) @t95)) @t916))) % 1.72/2.01 (define @t918 () (@var "B_b" $$unsorted)) % 1.72/2.01 (define @t919 () (@var "B_a" $$unsorted)) % 1.72/2.01 (define @t920 () (forall (@list @t919 @t918) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP (tptp.hAPP @t600 @t919) @t918)) (tptp.hAPP (tptp.hAPP @t696 (tptp.hAPP (tptp.hAPP @t696 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t919)) (tptp.c_RealVector_Onorm__class_Onorm @t11 @t918))) @t495)))) % 1.72/2.01 (define @t921 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 (tptp.hAPP @t601 @t3)) @t916))) % 1.72/2.01 (define @t922 () (tptp.hAPP @t587 @t86)) % 1.72/2.01 (define @t923 () (tptp.hAPP @t922 @t278)) % 1.72/2.01 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t86)) % 1.72/2.01 (define @t925 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t278)) % 1.72/2.01 (define @t926 () (@list @t86 @t282 @t278)) % 1.72/2.01 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t495)) % 1.72/2.01 (define @t928 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.72/2.01 (define @t929 () (tptp.hAPP @t696 @t153)) % 1.72/2.01 (define @t930 () (tptp.hAPP @t929 @t37)) % 1.72/2.01 (define @t931 () (tptp.c_Complex_Ocis @t930)) % 1.72/2.01 (define @t932 () (tptp.c_Complex_Ocis @t37)) % 1.72/2.01 (define @t933 () (tptp.hAPP @t884 @t932)) % 1.72/2.01 (define @t934 () (@list @t37 @t14)) % 1.72/2.01 (define @t935 () (tptp.c_Power_Opower__class_Opower @t11)) % 1.72/2.01 (define @t936 () (tptp.hAPP @t935 @t10)) % 1.72/2.01 (define @t937 () (tptp.hAPP (tptp.hAPP @t928 @t513) @t14)) % 1.72/2.01 (define @t938 () (tptp.hAPP @t936 @t14)) % 1.72/2.01 (define @t939 () (tptp.c_RealVector_Onorm__class_Onorm @t11 @t938)) % 1.72/2.01 (define @t940 () (@list @t14 @t10 @t11)) % 1.72/2.01 (define @t941 () (@var "V_p" $$unsorted)) % 1.72/2.01 (define @t942 () (tptp.hAPP @t936 @t816)) % 1.72/2.01 (define @t943 () (tptp.hAPP @t936 @t941)) % 1.72/2.01 (define @t944 () (@list @t816 @t941 @t10 @t11)) % 1.72/2.01 (define @t945 () (tptp.hAPP @t936 (tptp.c_Nat_OSuc @t816))) % 1.72/2.01 (define @t946 () (tptp.hAPP @t600 @t942)) % 1.72/2.01 (define @t947 () (@list @t816 @t10 @t11)) % 1.72/2.01 (define @t948 () (tptp.hAPP @t601 @t942)) % 1.72/2.01 (define @t949 () (tptp.hAPP @t673 @t941)) % 1.72/2.01 (define @t950 () (tptp.hAPP @t935 @t95)) % 1.72/2.01 (define @t951 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t402)) % 1.72/2.01 (define @t952 () (= @t951 @t199)) % 1.72/2.01 (define @t953 () (tptp.hAPP @t935 @t24)) % 1.72/2.01 (define @t954 () (tptp.class_Power_Opower @t11)) % 1.72/2.01 (define @t955 () (and @t954 @t608 @t617 @t389)) % 1.72/2.01 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t37 @t35)) % 1.72/2.01 (define @t957 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t168)) % 1.72/2.01 (define @t958 () (tptp.hAPP @t935 @t233)) % 1.72/2.01 (define @t959 () (tptp.hAPP @t958 @t957)) % 1.72/2.01 (define @t960 () (= @t957 @t199)) % 1.72/2.01 (define @t961 () (and @t954 (tptp.class_Rings_Osemiring__0 @t11))) % 1.72/2.01 (define @t962 () (tptp.hAPP @t935 @t15)) % 1.72/2.01 (define @t963 () (tptp.hAPP @t962 @t14)) % 1.72/2.01 (define @t964 () (tptp.hAPP @t935 @t35)) % 1.72/2.01 (define @t965 () (tptp.hAPP @t964 @t14)) % 1.72/2.01 (define @t966 () (tptp.hAPP @t935 @t37)) % 1.72/2.01 (define @t967 () (tptp.hAPP @t966 @t14)) % 1.72/2.01 (define @t968 () (tptp.c_Orderings_Oord__class_Oless @t11 @t967 @t965)) % 1.72/2.01 (define @t969 () (@list @t14 @t35 @t37 @t11)) % 1.72/2.01 (define @t970 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.72/2.01 (define @t971 () (tptp.hAPP (tptp.hAPP @t970 @t15) @t14)) % 1.72/2.01 (define @t972 () (tptp.hAPP @t596 @t971)) % 1.72/2.01 (define @t973 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.72/2.01 (define @t974 () (tptp.hAPP (tptp.hAPP @t973 @t624) @t14)) % 1.72/2.01 (define @t975 () (tptp.hAPP @t970 @t57)) % 1.72/2.01 (define @t976 () (tptp.hAPP @t975 @t14)) % 1.72/2.01 (define @t977 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t100)) % 1.72/2.01 (define @t978 () (tptp.hAPP @t970 @t100)) % 1.72/2.01 (define @t979 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 (tptp.hAPP @t978 @t64))) % 1.72/2.01 (define @t980 () (@list @t64 @t100)) % 1.72/2.01 (define @t981 () (tptp.hAPP @t973 @t10)) % 1.72/2.01 (define @t982 () (tptp.hAPP @t146 @t971)) % 1.72/2.01 (define @t983 () (tptp.hAPP (tptp.hAPP @t928 @t154) @t14)) % 1.72/2.01 (define @t984 () (tptp.hAPP @t981 @t95)) % 1.72/2.01 (define @t985 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (define @t986 () (tptp.hAPP @t970 @t941)) % 1.72/2.01 (define @t987 () (tptp.hAPP @t986 @t15)) % 1.72/2.01 (define @t988 () (@list @t14 @t37 @t11)) % 1.72/2.01 (define @t989 () (tptp.hAPP @t603 @t967)) % 1.72/2.01 (define @t990 () (tptp.hAPP @t600 @t967)) % 1.72/2.01 (define @t991 () (tptp.hAPP @t990 @t37)) % 1.72/2.01 (define @t992 () (tptp.hAPP (tptp.hAPP @t935 @t410) @t14)) % 1.72/2.01 (define @t993 () (tptp.hAPP @t966 @t15)) % 1.72/2.01 (define @t994 () (@list @t14 @t15 @t37 @t11)) % 1.72/2.01 (define @t995 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t196 @t37)) % 1.72/2.01 (define @t996 () (tptp.hAPP @t953 @t64)) % 1.72/2.01 (define @t997 () (tptp.hAPP @t966 @t18)) % 1.72/2.01 (define @t998 () (@list @t35 @t14 @t37 @t11)) % 1.72/2.01 (define @t999 () (tptp.hAPP @t964 @t18)) % 1.72/2.01 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t37)) % 1.72/2.01 (define @t1001 () (tptp.hAPP @t958 @t14)) % 1.72/2.01 (define @t1002 () (@var "V_N" $$unsorted)) % 1.72/2.01 (define @t1003 () (tptp.hAPP @t966 @t1002)) % 1.72/2.01 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t1002)) % 1.72/2.01 (define @t1005 () (@list @t37 @t1002 @t14 @t11)) % 1.72/2.01 (define @t1006 () (tptp.hAPP @t935 @t23)) % 1.72/2.01 (define @t1007 () (tptp.hAPP @t1006 @t121)) % 1.72/2.01 (define @t1008 () (tptp.hAPP @t1006 @t100)) % 1.72/2.01 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t23)) % 1.72/2.01 (define @t1010 () (@list @t121 @t100 @t23 @t11)) % 1.72/2.01 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t1002)) % 1.72/2.01 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t196)) % 1.72/2.01 (define @t1013 () (@var "B_z" $$unsorted)) % 1.72/2.01 (define @t1014 () (@var "V_one_2" $$unsorted)) % 1.72/2.01 (define @t1015 () (@var "V_times_2" $$unsorted)) % 1.72/2.01 (define @t1016 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t11 @t1014 @t1015) @t24)) % 1.72/2.01 (define @t1017 () (tptp.hAPP @t973 @t56)) % 1.72/2.01 (define @t1018 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 @t35)) % 1.72/2.01 (define @t1019 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t635 @t35)) % 1.72/2.01 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t456)) % 1.72/2.01 (define @t1021 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t635)) % 1.72/2.01 (define @t1022 () (@list @t35 @t635 @t37)) % 1.72/2.01 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t35)) % 1.72/2.01 (define @t1024 () (= @t1018 @t456)) % 1.72/2.01 (define @t1025 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t456)) % 1.72/2.01 (define @t1026 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 @t627)) % 1.72/2.01 (define @t1027 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t456)) % 1.72/2.01 (define @t1028 () (@list @t35 @t627 @t37)) % 1.72/2.01 (define @t1029 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1018 @t456)) % 1.72/2.01 (define @t1030 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t24 @t23)) % 1.72/2.01 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t1030)) % 1.72/2.01 (define @t1032 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t23 @t456)) % 1.72/2.01 (define @t1033 () (@list @t24 @t23)) % 1.72/2.01 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t37)) % 1.72/2.01 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t23)) % 1.72/2.01 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t24)) % 1.72/2.01 (define @t1037 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t201 @t86)) % 1.72/2.01 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t86)) % 1.72/2.01 (define @t1039 () (= @t86 @t456)) % 1.72/2.01 (define @t1040 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t35)) % 1.72/2.01 (define @t1041 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t34 @t1040)) % 1.72/2.01 (define @t1042 () (tptp.class_Divides_Osemiring__div @t11)) % 1.72/2.01 (define @t1043 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t1040 @t196)) % 1.72/2.01 (define @t1044 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t722 @t721)) % 1.72/2.01 (define @t1045 () (= @t34 @t233)) % 1.72/2.01 (define @t1046 () (not @t1045)) % 1.72/2.01 (define @t1047 () (=> @t1046 (= @t1044 @t1040))) % 1.72/2.01 (define @t1048 () (@list @t37)) % 1.72/2.01 (define @t1049 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1030 @t456)) % 1.72/2.01 (define @t1050 () (@var "V_b_1" $$unsorted)) % 1.72/2.01 (define @t1051 () (@var "V_a_1" $$unsorted)) % 1.72/2.01 (define @t1052 () (@var "V_r_1" $$unsorted)) % 1.72/2.01 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t1050)) % 1.72/2.01 (define @t1054 () (= @t64 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t922 @t394) @t222))) % 1.72/2.01 (define @t1055 () (@list @t86 @t64 @t282)) % 1.72/2.01 (define @t1056 () (tptp.c_Complex_Orcis @t449 @t37)) % 1.72/2.01 (define @t1057 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t37)) % 1.72/2.01 (define @t1058 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t15 @t14)) % 1.72/2.01 (define @t1059 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t853 @t852)) % 1.72/2.01 (define @t1060 () (= @t1059 @t1058)) % 1.72/2.01 (define @t1061 () (= @t56 @t199)) % 1.72/2.01 (define @t1062 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t37 @t35)) % 1.72/2.01 (define @t1063 () (=> @t211 (= @t1058 @t199))) % 1.72/2.01 (define @t1064 () (= @t1058 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t217 @t14)))) % 1.72/2.01 (define @t1065 () (=> @t295 @t1064)) % 1.72/2.01 (define @t1066 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t63 @t64)) % 1.72/2.01 (define @t1067 () (@var "V_q_2" $$unsorted)) % 1.72/2.01 (define @t1068 () (@var "B_q" $$unsorted)) % 1.72/2.01 (define @t1069 () (@var "V_r2" $$unsorted)) % 1.72/2.01 (define @t1070 () (@var "V_r1" $$unsorted)) % 1.72/2.01 (define @t1071 () (@var "B_r" $$unsorted)) % 1.72/2.01 (define @t1072 () (@var "T_1" $$unsorted)) % 1.72/2.01 (define @t1073 () (tptp.tc_Polynomial_Opoly @t1072)) % 1.72/2.01 (define @t1074 () (tptp.class_Rings_Oidom @t1072)) % 1.72/2.01 (define @t1075 () (@list @t1072)) % 1.72/2.01 (define @t1076 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1072)) % 1.72/2.01 (define @t1077 () (tptp.class_Rings_Ocomm__semiring__0 @t1072)) % 1.72/2.01 (define @t1078 () (tptp.class_Rings_Ocomm__ring @t1072)) % 1.72/2.01 (define @t1079 () (@var "T_2" $$unsorted)) % 1.72/2.01 (define @t1080 () (tptp.tc_fun @t1079 @t1072)) % 1.72/2.01 (define @t1081 () (@list @t1079 @t1072)) % 1.72/2.01 (define @t1082 () (tptp.class_Rings_Olinordered__idom @t1072)) % 1.72/2.01 (define @t1083 () (tptp.class_Rings_Ocomm__semiring__1 @t1072)) % 1.72/2.01 (define @t1084 () (tptp.class_Groups_Ocomm__monoid__add @t1072)) % 1.72/2.01 (define @t1085 () (tptp.class_Groups_Oab__group__add @t1072)) % 1.72/2.01 (define @t1086 () (tptp.class_Rings_Ocomm__ring__1 @t1072)) % 1.72/2.01 (define @t1087 () (tptp.c_Nat_OSuc @t8)) % 1.72/2.01 (define @t1088 () (tptp.c_Nat_OSuc @t7)) % 1.72/2.01 (define @t1089 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t146 @t1088) (tptp.hAPP @t146 @t1087))) % 1.72/2.01 (define @t1090 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1088 @t1087)) % 1.72/2.01 (define @t1091 () (forall @t68 (= @t65 @t149))) % 1.72/2.01 (define @t1092 () (= @t1090 @t1089)) % 1.72/2.01 (define @t1093 () (= @t1089 @t1090)) % 1.72/2.01 (define @t1094 () (not @t1090)) % 1.72/2.01 (define @t1095 () (@list true false)) % 1.72/2.01 (define @t1096 () (= @t9 @t1090)) % 1.72/2.01 (define @t1097 () (not @t1096)) % 1.72/2.01 (define @t1098 () (= @t1090 @t9)) % 1.72/2.01 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.72/2.01 (assume @p2 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.72/2.01 (assume @p3 @t9) % 1.72/2.01 (assume @p4 (forall @t13 (=> @t12 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t10)))) % 1.72/2.01 (assume @p5 (forall @t20 (= @t19 @t17))) % 1.72/2.01 (assume @p6 (forall @t20 (= @t22 @t17))) % 1.72/2.01 (assume @p7 (forall @t20 (= @t22 @t19))) % 1.72/2.01 (assume @p8 (forall @t30 (=> @t29 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t28 @t27) @t25)))) % 1.72/2.01 (assume @p9 (forall @t33 (=> @t29 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t32 @t31) @t25)))) % 1.72/2.01 (assume @p10 (forall @t42 (=> @t41 (=> @t40 @t39)))) % 1.72/2.01 (assume @p11 (forall @t42 (=> @t41 (=> @t40 @t45)))) % 1.72/2.01 (assume @p12 (forall @t49 (=> @t41 (=> @t40 (=> @t48 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t38 @t47)))))) % 1.72/2.01 (assume @p13 (forall @t50 (=> @t29 (=> @t39 @t40)))) % 1.72/2.01 (assume @p14 (forall @t51 (=> @t29 (=> @t45 @t40)))) % 1.72/2.01 (assume @p15 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t14))) % 1.72/2.01 (assume @p16 (forall @t20 (or @t54 @t53))) % 1.72/2.01 (assume @p17 (forall @t20 (=> @t55 @t54))) % 1.72/2.01 (assume @p18 (forall @t60 (=> @t59 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t56))))) % 1.72/2.01 (assume @p19 (forall @t20 (=> @t54 (=> @t53 @t55)))) % 1.72/2.01 (assume @p20 (forall @t20 (=> @t61 @t54))) % 1.72/2.01 (assume @p21 (forall @t20 (=> @t62 (=> (not @t54) (= @t15 @t18))))) % 1.72/2.01 (assume @p22 (forall @t20 (=> @t54 @t62))) % 1.72/2.01 (assume @p23 @t69) % 1.72/2.01 (assume @p24 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t67) (or @t70 (= @t63 @t67))))) % 1.72/2.01 (assume @p25 (forall @t71 (= (not @t70) @t72))) % 1.72/2.01 (assume @p26 (forall @t52 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t18 @t14)))) % 1.72/2.01 (assume @p27 (forall @t76 (=> @t75 (not (=> @t54 (not @t73)))))) % 1.72/2.01 (assume @p28 (forall @t76 (=> @t75 @t54))) % 1.72/2.01 (assume @p29 (forall @t76 (=> @t75 @t73))) % 1.72/2.01 (assume @p30 (forall @t81 (=> @t59 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t78))))) % 1.72/2.01 (assume @p31 (forall @t60 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t82)))) % 1.72/2.01 (assume @p32 (forall @t84 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t83)))) % 1.72/2.01 (assume @p33 (forall @t84 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t85)))) % 1.72/2.01 (assume @p34 (forall @t89 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 @t87) @t70))) % 1.72/2.01 (assume @p35 (forall @t71 (= @t70 (exists @t92 (= @t64 @t91))))) % 1.72/2.01 (assume @p36 (forall @t94 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t93))) % 1.72/2.01 (assume @p37 (forall @t94 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t16))) % 1.72/2.01 (assume @p38 (forall @t99 (=> @t98 (=> (not @t97) @t96)))) % 1.72/2.01 (assume @p39 (forall (@list @t100 @t1 @t2 @t11 @t101) (=> @t104 (=> @t103 (tptp.c_Orderings_Oord__class_Oless__eq @t101 (tptp.hAPP @t2 @t100) (tptp.hAPP @t1 @t100)))))) % 1.72/2.01 (assume @p40 (forall @t108 (=> @t107 (=> @t96 (=> @t106 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t105 @t10)))))) % 1.72/2.01 (assume @p41 (forall @t110 (=> @t107 (=> @t96 (=> @t97 @t109))))) % 1.72/2.01 (assume @p42 (forall @t112 (=> @t12 (=> @t97 (=> @t111 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t105)))))) % 1.72/2.01 (assume @p43 (forall @t99 (=> @t107 (=> @t97 (=> @t96 @t109))))) % 1.72/2.01 (assume @p44 (forall @t116 (=> @t107 (=> @t115 (=> @t114 @t113))))) % 1.72/2.01 (assume @p45 (forall @t42 (=> @t118 (=> @t40 (=> @t114 @t117))))) % 1.72/2.01 (assume @p46 (forall @t42 (=> @t107 (=> @t119 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t34 @t35) @t113))))) % 1.72/2.01 (assume @p47 (forall @t42 (=> @t118 (=> @t119 (=> @t120 @t117))))) % 1.72/2.01 (assume @p48 (forall @t126 (=> @t107 (=> @t125 @t124)))) % 1.72/2.01 (assume @p49 (forall @t99 (=> @t12 (=> @t109 @t97)))) % 1.72/2.01 (assume @p50 (forall @t127 (=> @t107 (= @t122 (and @t123 @t125))))) % 1.72/2.01 (assume @p51 (forall @t99 (=> @t98 (or @t97 @t96)))) % 1.72/2.01 (assume @p52 (forall @t128 (=> @t104 (= @t103 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t101 @t5 @t4)))))) % 1.72/2.01 (assume @p53 (forall @t116 (=> @t130 (=> (= @t129 @t44) @t114)))) % 1.72/2.01 (assume @p54 (forall @t42 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t11) @t132))) % 1.72/2.01 (assume @p55 (forall @t42 (=> @t130 @t132))) % 1.72/2.01 (assume @p56 (forall (@list @t26 @t24 @t23 @t11) (=> @t130 (= (= @t134 @t32) @t133)))) % 1.72/2.01 (assume @p57 (forall (@list @t26 @t23 @t24 @t11) (=> @t130 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t23) @t28) @t133)))) % 1.72/2.01 (assume @p58 (forall @t42 (=> (tptp.class_Groups_Oab__semigroup__add @t11) @t136))) % 1.72/2.01 (assume @p59 (forall @t137 (=> (= (tptp.c_Nat_OSuc @t10) (tptp.c_Nat_OSuc @t95)) @t109))) % 1.72/2.01 (assume @p60 (forall (@list @t138 @t139) (= (= (tptp.c_Nat_OSuc @t139) (tptp.c_Nat_OSuc @t138)) (= @t139 @t138)))) % 1.72/2.01 (assume @p61 (forall @t52 (not (= @t18 @t14)))) % 1.72/2.01 (assume @p62 (forall @t52 (not (= @t14 @t18)))) % 1.72/2.01 (assume @p63 (forall @t141 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t86) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t64 @t86)) @t140))) % 1.72/2.01 (assume @p64 (forall @t89 (= (= @t88 @t87) @t140))) % 1.72/2.01 (assume @p65 (forall @t143 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t142)))) % 1.72/2.01 (assume @p66 (forall @t145 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t10 @t144) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t10 @t105))))) % 1.72/2.01 (assume @p67 (forall @t20 (= @t16 @t93))) % 1.72/2.01 (assume @p68 @t150) % 1.72/2.01 (assume @p69 (forall (@list @t64 @t2) (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t151)))) % 1.72/2.01 (assume @p70 (forall @t20 (= (tptp.hAPP @t146 @t16) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t154 @t153)))) % 1.72/2.01 (assume @p71 (forall @t156 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t105) @t155))) % 1.72/2.01 (assume @p72 (forall @t145 (=> @t157 @t155))) % 1.72/2.01 (assume @p73 (forall @t161 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t86 @t159) (exists @t160 (= @t159 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t86 @t158)))))) % 1.72/2.01 (assume @p74 (forall (@list @t162 @t64 @t2 @t11) (=> @t107 (=> (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t165 @t164)) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t162) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t151 (tptp.hAPP @t2 @t162))))))) % 1.72/2.01 (assume @p75 (forall @t68 (= (= @t148 @t147) @t166))) % 1.72/2.01 (assume @p76 (forall @t145 (=> @t167 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t105 @t10) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t105 @t95))))) % 1.72/2.01 (assume @p77 (forall @t172 (=> @t171 (=> @t170 @t169)))) % 1.72/2.01 (assume @p78 (forall @t60 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t57 @t58) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t58 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t57 @t56))))) % 1.72/2.01 (assume @p79 (forall @t172 (or @t171 @t170))) % 1.72/2.01 (assume @p80 (forall @t173 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t168 @t168))) % 1.72/2.01 (assume @p81 (forall @t182 (=> @t107 (= @t181 @t180)))) % 1.72/2.01 (assume @p82 (forall @t182 (=> @t107 (= @t184 @t183)))) % 1.72/2.01 (assume @p83 (forall @t182 (=> @t107 (= @t185 (or @t183 @t180))))) % 1.72/2.01 (assume @p84 (forall @t182 (=> @t107 (= @t185 (or @t188 @t187))))) % 1.72/2.01 (assume @p85 (forall @t52 (= @t191 @t190))) % 1.72/2.01 (assume @p86 (forall (@list @t34 @t37 @t11) (=> @t192 (= @t38 @t44)))) % 1.72/2.01 (assume @p87 (forall @t195 (=> @t192 (= @t194 (tptp.c_Groups_Oplus__class_Oplus @t11 @t34 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t46)))))) % 1.72/2.01 (assume @p88 (forall @t195 (=> @t192 (= @t194 (tptp.c_Groups_Oplus__class_Oplus @t11 @t38 @t46))))) % 1.72/2.01 (assume @p89 (forall @t42 (=> @t192 @t136))) % 1.72/2.01 (assume @p90 (forall @t42 (=> @t192 (= @t135 (tptp.c_Groups_Oplus__class_Oplus @t11 @t38 @t35))))) % 1.72/2.01 (assume @p91 (forall @t182 (=> @t107 (=> @t184 @t185)))) % 1.72/2.01 (assume @p92 (forall @t182 (=> @t107 (=> @t181 @t185)))) % 1.72/2.01 (assume @p93 (forall @t197 (=> (tptp.class_Groups_Oone @t11) (= (= @t196 @t100) (= @t100 @t196))))) % 1.72/2.01 (assume @p94 (forall @t49 (=> @t192 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t131 @t193) (tptp.c_Groups_Oplus__class_Oplus @t11 @t38 @t47))))) % 1.72/2.01 (assume @p95 (forall @t182 (=> @t107 (=> @t188 @t184)))) % 1.72/2.01 (assume @p96 (forall @t68 (= @t65 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t148 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t147 @t189))))) % 1.72/2.01 (assume @p97 (forall @t68 (= @t198 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t148 @t189) @t147)))) % 1.72/2.01 (assume @p98 (forall @t182 (=> @t107 (=> @t180 @t185)))) % 1.72/2.01 (assume @p99 (forall @t182 (=> @t107 (=> @t183 @t185)))) % 1.72/2.01 (assume @p100 (forall @t182 (=> @t107 (=> @t187 @t185)))) % 1.72/2.01 (assume @p101 (forall @t182 (=> @t107 (=> @t188 @t185)))) % 1.72/2.01 (assume @p102 (= (tptp.hAPP @t146 @t200) @t189)) % 1.72/2.01 (assume @p103 (forall (@list @t201 @t64 @t202 @t11) (=> @t203 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t11 @t202 @t67 @t201) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t11 @t202 @t64 (tptp.hAPP @t202 @t201)))))) % 1.72/2.01 (assume @p104 (forall @t209 (=> @t208 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t207 @t15) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t205 @t204))))) % 1.72/2.01 (assume @p105 (forall @t52 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t199)))) % 1.72/2.01 (assume @p106 (forall @t52 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t18))) % 1.72/2.01 (assume @p107 (forall @t20 (=> @t211 @t210))) % 1.72/2.01 (assume @p108 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t199 @t14))) % 1.72/2.01 (assume @p109 (forall @t52 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t18))) % 1.72/2.01 (assume @p110 (forall @t52 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t18 @t212) @t14))) % 1.72/2.01 (assume @p111 (forall @t20 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t18) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t213 @t14)))) % 1.72/2.01 (assume @p112 (forall @t52 (=> @t216 (= @t215 @t14)))) % 1.72/2.01 (assume @p113 (forall @t52 (=> @t216 (= @t14 @t215)))) % 1.72/2.01 (assume @p114 (forall @t94 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t93) @t199))) % 1.72/2.01 (assume @p115 (forall @t71 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t64) @t199) @t70))) % 1.72/2.01 (assume @p116 (forall @t20 (=> @t54 @t218))) % 1.72/2.01 (assume @p117 (forall @t220 (= @t219 (exists (@list @t174) (= @t64 (tptp.c_Nat_OSuc @t174)))))) % 1.72/2.01 (assume @p118 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t200) @t221))) % 1.72/2.01 (assume @p119 (forall @t71 (= @t225 (or @t224 (exists @t223 (and (= @t63 (tptp.c_Nat_OSuc @t222)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t64))))))) % 1.72/2.01 (assume @p120 (forall @t52 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t14)))) % 1.72/2.01 (assume @p121 (forall @t13 (=> @t12 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t10))))) % 1.72/2.01 (assume @p122 (forall @t220 (= @t226 @t219))) % 1.72/2.01 (assume @p123 (forall @t71 (= @t228 (or @t227 @t198)))) % 1.72/2.01 (assume @p124 (forall @t127 (=> @t98 (= @t231 (or @t230 @t229))))) % 1.72/2.01 (assume @p125 (forall @t127 (=> @t98 (= @t232 (or @t229 @t122))))) % 1.72/2.01 (assume @p126 (forall @t52 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t199 @t14) @t199))) % 1.72/2.01 (assume @p127 (forall @t197 (=> @t235 (= (= @t233 @t100) @t234)))) % 1.72/2.01 (assume @p128 (forall @t68 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t64 @t63)) @t227))) % 1.72/2.01 (assume @p129 (forall @t237 (=> @t236 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t233) @t37)))) % 1.72/2.01 (assume @p130 (forall @t238 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t199) @t15))) % 1.72/2.01 (assume @p131 (forall @t237 (=> @t236 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t37) @t233)))) % 1.72/2.01 (assume @p132 (forall @t238 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t15) @t199))) % 1.72/2.01 (assume @p133 (forall @t243 (=> @t242 (= @t241 @t240)))) % 1.72/2.01 (assume @p134 (forall @t243 (=> @t245 (= @t244 (tptp.c_Orderings_Oord__class_Oless @t11 @t239 @t233))))) % 1.72/2.01 (assume @p135 (forall @t99 (=> @t98 (or @t247 @t109 @t246)))) % 1.72/2.01 (assume @p136 (forall @t243 (=> @t236 (= @t240 @t241)))) % 1.72/2.01 (assume @p137 (forall @t60 (= @t249 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t56) @t58)))) % 1.72/2.01 (assume @p138 (forall (@list @t201 @t202 @t11) (=> @t203 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t11 @t202 @t199 @t201) @t201)))) % 1.72/2.01 (assume @p139 (forall @t126 (=> @t98 (=> (not @t229) @t250)))) % 1.72/2.01 (assume @p140 (forall @t99 (=> @t98 @t253))) % 1.72/2.01 (assume @p141 (forall @t137 (=> @t252 (=> (not @t254) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t10))))) % 1.72/2.01 (assume @p142 (forall @t52 (=> @t216 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t200)) @t14)))) % 1.72/2.01 (assume @p143 (forall (@list @t57 @t14) (=> @t216 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t255) @t14)))) % 1.72/2.01 (assume @p144 (forall @t94 (=> @t216 (=> @t256 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t217 @t15))))) % 1.72/2.01 (assume @p145 (forall @t20 (=> @t211 @t258))) % 1.72/2.01 (assume @p146 (forall @t94 (=> @t260 @t259))) % 1.72/2.01 (assume @p147 (forall (@list @t261 @t262) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t261) (not (= @t262 @t261))))) % 1.72/2.01 (assume @p148 (forall @t99 (=> @t107 (=> @t247 @t252)))) % 1.72/2.01 (assume @p149 (forall @t99 (=> @t12 (=> @t247 (not @t246))))) % 1.72/2.01 (assume @p150 (forall @t99 (=> @t107 (=> @t247 (not (= @t95 @t10)))))) % 1.72/2.01 (assume @p151 (forall (@list @t14 @t56 @t58) (=> @t263 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t58 @t14) @t56)))) % 1.72/2.01 (assume @p152 (forall @t266 (=> @t12 (=> @t265 (not @t264))))) % 1.72/2.01 (assume @p153 (forall @t267 (=> @t107 (=> @t264 (not @t265))))) % 1.72/2.01 (assume @p154 (forall @t42 (=> @t118 (=> @t119 (=> @t269 @t268))))) % 1.72/2.01 (assume @p155 (forall @t42 (=> @t107 (=> @t119 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t34 @t35) @t270))))) % 1.72/2.01 (assume @p156 (forall @t42 (=> @t118 (=> @t265 (=> @t114 @t268))))) % 1.72/2.01 (assume @p157 (forall @t116 (=> @t107 (=> @t264 (=> @t114 @t270))))) % 1.72/2.01 (assume @p158 (forall @t112 (=> @t12 (=> @t247 @t272)))) % 1.72/2.01 (assume @p159 (forall @t108 (=> @t107 (=> @t246 @t274)))) % 1.72/2.01 (assume @p160 (forall @t277 (=> @t211 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t77) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t276 @t275))))) % 1.72/2.01 (assume @p161 (forall @t20 (=> @t218 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t15) @t199) @t55)))) % 1.72/2.01 (assume @p162 (forall @t281 (=> @t242 (=> @t280 (= @t241 @t279))))) % 1.72/2.01 (assume @p163 (forall @t281 (=> @t245 (=> @t280 (= @t244 (tptp.c_Orderings_Oord__class_Oless @t11 @t26 @t278)))))) % 1.72/2.01 (assume @p164 (forall @t52 (=> @t258 @t216))) % 1.72/2.01 (assume @p165 (forall @t99 (=> @t98 (=> @t251 (=> @t252 @t246))))) % 1.72/2.01 (assume @p166 (forall (@list @t282 @t64 @t63) (=> (=> @t227 @t284) (=> (=> @t140 @t284) (=> (=> @t198 @t284) @t284))))) % 1.72/2.01 (assume @p167 (forall @t285 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t34 @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t34) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t35 @t34)))))) % 1.72/2.01 (assume @p168 (forall @t89 (=> @t289 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t287 @t286) @t227))))) % 1.72/2.01 (assume @p169 (forall @t293 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t201 @t292) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t291 @t290)))) % 1.72/2.01 (assume @p170 (forall @t20 (=> @t295 @t294))) % 1.72/2.01 (assume @p171 (forall @t298 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t296) (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t24))))) % 1.72/2.01 (assume @p172 (forall @t298 (=> @t297 @t299))) % 1.72/2.01 (assume @p173 (forall @t266 (=> @t304 (=> @t303 @t302)))) % 1.72/2.01 (assume @p174 (forall @t266 (=> @t304 (=> @t308 @t307)))) % 1.72/2.01 (assume @p175 (forall @t20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t217 @t21))) % 1.72/2.01 (assume @p176 (forall @t243 (=> @t245 (= @t25 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t239 @t233))))) % 1.72/2.01 (assume @p177 (forall @t316 (= @t315 (and (=> @t314 @t313) (forall @t312 (=> @t311 @t310)))))) % 1.72/2.01 (assume @p178 (forall @t316 (= @t315 (not (or (and @t314 @t317) (exists @t312 (and @t311 (not @t310)))))))) % 1.72/2.01 (assume @p179 (= @t212 @t200)) % 1.72/2.01 (assume @p180 (forall @t68 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t148 @t147) @t198))) % 1.72/2.01 (assume @p181 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t319) (or @t318 @t219)))) % 1.72/2.01 (assume @p182 (forall @t20 (and (=> @t320 (= @t16 @t14)) (=> @t321 (= @t16 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t213 @t14))))))) % 1.72/2.01 (assume @p183 (forall @t266 (=> @t304 (=> @t303 (=> @t322 @t300))))) % 1.72/2.01 (assume @p184 (forall @t266 (=> @t304 (=> @t323 @t302)))) % 1.72/2.01 (assume @p185 (forall @t42 (=> @t304 (=> @t303 (=> @t120 @t324))))) % 1.72/2.01 (assume @p186 (forall @t42 (=> @t304 (=> @t323 @t325)))) % 1.72/2.01 (assume @p187 (forall @t266 (=> @t304 (=> @t308 (=> @t326 @t305))))) % 1.72/2.01 (assume @p188 (forall @t266 (=> @t304 (=> @t327 @t307)))) % 1.72/2.01 (assume @p189 (forall @t281 (=> @t245 (=> @t280 (= @t25 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t26 @t278)))))) % 1.72/2.01 (assume @p190 (forall @t266 (=> @t236 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t328 @t35) @t37)))) % 1.72/2.01 (assume @p191 (forall @t266 (=> @t236 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t131 @t35) @t37)))) % 1.72/2.01 (assume @p192 (forall @t127 (=> @t98 (= @t232 @t125)))) % 1.72/2.01 (assume @p193 (forall @t127 (=> @t98 (= (not @t123) @t229)))) % 1.72/2.01 (assume @p194 (forall @t99 (=> @t98 (or @t97 @t246)))) % 1.72/2.01 (assume @p195 (forall @t127 (=> @t107 (= @t230 (and @t123 @t231))))) % 1.72/2.01 (assume @p196 (forall @t127 (=> @t12 (= @t230 (and @t123 (not @t125)))))) % 1.72/2.01 (assume @p197 (forall @t127 (=> @t107 (= @t123 (or @t230 @t122))))) % 1.72/2.01 (assume @p198 (forall @t99 (=> @t98 (=> @t251 @t96)))) % 1.72/2.01 (assume @p199 (forall @t110 (=> @t98 (=> (not @t96) @t247)))) % 1.72/2.01 (assume @p200 (forall @t127 (=> @t98 (=> @t232 @t124)))) % 1.72/2.01 (assume @p201 (forall @t266 (=> @t107 (=> @t329 (=> @t40 @t265))))) % 1.72/2.01 (assume @p202 (forall @t266 (=> @t107 (=> @t329 (=> @t115 @t264))))) % 1.72/2.01 (assume @p203 (forall @t110 (=> @t98 (=> @t96 @t251)))) % 1.72/2.01 (assume @p204 (forall @t99 (=> @t12 (=> @t247 @t97)))) % 1.72/2.01 (assume @p205 (forall @t127 (=> @t98 (=> @t123 @t250)))) % 1.72/2.01 (assume @p206 (forall @t99 (=> @t107 (=> @t97 (or @t247 @t109))))) % 1.72/2.01 (assume @p207 (forall @t266 (=> @t107 (=> @t40 (=> @t329 @t265))))) % 1.72/2.01 (assume @p208 (forall @t267 (=> @t107 (=> @t115 (=> @t329 @t264))))) % 1.72/2.01 (assume @p209 (forall @t112 (=> @t12 (=> @t247 (=> @t111 @t271))))) % 1.72/2.01 (assume @p210 (forall @t108 (=> @t107 (=> @t246 (=> @t106 @t273))))) % 1.72/2.01 (assume @p211 (forall @t112 (=> @t12 (=> @t97 @t272)))) % 1.72/2.01 (assume @p212 (forall @t108 (=> @t107 (=> @t96 @t274)))) % 1.72/2.01 (assume @p213 (forall @t30 (=> @t29 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t28 @t27) @t244)))) % 1.72/2.01 (assume @p214 (forall @t33 (=> @t29 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t31) @t244)))) % 1.72/2.01 (assume @p215 (forall @t42 (=> @t331 (=> @t265 @t330)))) % 1.72/2.01 (assume @p216 (forall @t42 (=> @t331 (=> @t265 @t332)))) % 1.72/2.01 (assume @p217 (forall @t49 (=> @t331 (=> @t265 @t335)))) % 1.72/2.01 (assume @p218 (forall @t50 (=> @t29 (=> @t330 @t265)))) % 1.72/2.01 (assume @p219 (forall @t51 (=> @t29 (=> @t332 @t265)))) % 1.72/2.01 (assume @p220 (forall @t20 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t18) @t217))) % 1.72/2.01 (assume @p221 (forall @t143 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t336 (tptp.c_Nat_OSuc @t56)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t217 @t56)))) % 1.72/2.01 (assume @p222 (forall @t20 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t16 @t14) @t15))) % 1.72/2.01 (assume @p223 (forall @t94 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t93 @t14) @t15))) % 1.72/2.01 (assume @p224 (forall @t60 (= @t249 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t82)))) % 1.72/2.01 (assume @p225 (forall @t338 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t204 @t337) @t217))) % 1.72/2.01 (assume @p226 (forall @t76 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t74 @t142) @t217))) % 1.72/2.01 (assume @p227 (forall @t89 (=> @t289 (=> @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t287 @t286) @t70))))) % 1.72/2.01 (assume @p228 (forall @t338 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t15) (=> @t73 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t56) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t56)) @t217))))) % 1.72/2.01 (assume @p229 (forall @t89 (=> @t289 (=> @t288 (= (= @t287 @t286) @t140))))) % 1.72/2.01 (assume @p230 (forall @t339 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t14) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t57)) @t57)))) % 1.72/2.01 (assume @p231 (forall @t277 (=> @t54 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t77) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t77))))) % 1.72/2.01 (assume @p232 (forall @t277 (=> @t54 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t276 @t275)))) % 1.72/2.01 (assume @p233 (forall @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t217 @t15))) % 1.72/2.01 (assume @p234 (forall @t71 (= (not @t227) @t340))) % 1.72/2.01 (assume @p235 (forall @t71 (= @t225 @t341))) % 1.72/2.01 (assume @p236 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t67) @t227))) % 1.72/2.01 (assume @p237 (forall @t68 (=> (not @t198) @t342))) % 1.72/2.01 (assume @p238 (forall @t94 (=> (not @t260) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t21) @t55)))) % 1.72/2.01 (assume @p239 (forall @t20 (=> @t211 @t343))) % 1.72/2.01 (assume @p240 (forall @t20 (=> @t211 (=> (not (= @t21 @t14)) @t344)))) % 1.72/2.01 (assume @p241 (forall @t60 (=> @t345 (=> @t263 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t255 @t56))))) % 1.72/2.01 (assume @p242 (forall @t20 (=> @t343 (=> @t295 @t55)))) % 1.72/2.01 (assume @p243 (forall @t20 (=> @t344 @t211))) % 1.72/2.01 (assume @p244 (forall @t20 (=> @t210 @t211))) % 1.72/2.01 (assume @p245 (forall @t348 (= @t347 (and @t346 @t231)))) % 1.72/2.01 (assume @p246 (forall @t348 (= @t346 (or @t347 @t122)))) % 1.72/2.01 (assume @p247 (forall @t145 (=> @t254 @t349))) % 1.72/2.01 (assume @p248 (forall @t156 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t105) @t349))) % 1.72/2.01 (assume @p249 (forall (@list @t58 @t57) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t350 @t57)))) % 1.72/2.01 (assume @p250 (forall (@list @t57 @t58) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t57)))) % 1.72/2.01 (assume @p251 (forall @t89 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t87) @t227))) % 1.72/2.01 (assume @p252 (forall @t84 (=> @t345 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t85)))) % 1.72/2.01 (assume @p253 (forall @t84 (=> @t345 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t83)))) % 1.72/2.01 (assume @p254 (forall @t60 (=> @t345 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t82)))) % 1.72/2.01 (assume @p255 (forall @t81 (=> @t345 (=> @t352 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t78))))) % 1.72/2.01 (assume @p256 (forall (@list @t14 @t15 @t77 @t56) (=> @t352 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t77) @t337) @t211)))) % 1.72/2.01 (assume @p257 (forall @t60 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t350 @t56) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t56)))) % 1.72/2.01 (assume @p258 (forall @t137 (=> @t254 @t157))) % 1.72/2.01 (assume @p259 (forall @t20 (=> (or @t211 @t55) @t54))) % 1.72/2.01 (assume @p260 (forall @t20 (=> @t54 (=> @t259 @t211)))) % 1.72/2.01 (assume @p261 (forall @t20 (=> @t211 @t54))) % 1.72/2.01 (assume @p262 (forall @t71 (= @t70 @t341))) % 1.72/2.01 (assume @p263 (forall @t71 (= @t227 (and @t70 @t228)))) % 1.72/2.01 (assume @p264 (forall @t237 (=> @t354 @t353))) % 1.72/2.01 (assume @p265 (forall @t237 (=> @t355 @t353))) % 1.72/2.01 (assume @p266 (forall @t298 (=> @t297 (= (= @t233 @t296) @t356)))) % 1.72/2.01 (assume @p267 (forall @t237 (=> @t354 @t357))) % 1.72/2.01 (assume @p268 (forall @t237 (=> @t355 @t357))) % 1.72/2.01 (assume @p269 (forall @t237 (=> @t192 @t353))) % 1.72/2.01 (assume @p270 (forall @t237 (=> @t192 @t357))) % 1.72/2.01 (assume @p271 (forall (@list @t24 @t23 @t11) (=> @t358 (= (= @t23 @t134) @t356)))) % 1.72/2.01 (assume @p272 (forall @t238 (not (= @t199 @t21)))) % 1.72/2.01 (assume @p273 (forall (@list @t359) (not (= @t199 (tptp.c_Nat_OSuc @t359))))) % 1.72/2.01 (assume @p274 (forall @t238 (not (= @t21 @t199)))) % 1.72/2.01 (assume @p275 (forall (@list @t360) (not (= (tptp.c_Nat_OSuc @t360) @t199)))) % 1.72/2.01 (assume @p276 (forall @t52 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t14) @t14))) % 1.72/2.01 (assume @p277 (forall @t238 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t199) @t15))) % 1.72/2.01 (assume @p278 (forall @t71 (= (= @t319 @t199) (and @t224 @t221)))) % 1.72/2.01 (assume @p279 (forall @t20 (=> (= @t16 @t15) @t257))) % 1.72/2.01 (assume @p280 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t199) @t221))) % 1.72/2.01 (assume @p281 (forall @t361 (= @t152 (forall @t179 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t158) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t174) @t165)))))) % 1.72/2.01 (assume @p282 (forall @t49 (=> @t331 (=> @t265 (=> @t48 @t333))))) % 1.72/2.01 (assume @p283 (forall @t49 (=> @t331 (=> @t40 @t335)))) % 1.72/2.01 (assume @p284 (forall @t94 (=> @t53 (= @t336 (tptp.c_Nat_OSuc @t217))))) % 1.72/2.01 (assume @p285 (forall @t364 (=> @t208 (= @t363 @t362)))) % 1.72/2.01 (assume @p286 (forall @t364 (=> @t208 (= @t362 @t363)))) % 1.72/2.01 (assume @p287 (forall @t364 (=> @t208 (= @t366 @t365)))) % 1.72/2.01 (assume @p288 (forall @t293 (=> @t368 (= (= @t367 @t86) (= @t290 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t86 @t201)))))) % 1.72/2.01 (assume @p289 (forall @t94 (=> @t53 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t217 @t14) @t15)))) % 1.72/2.01 (assume @p290 (forall (@list @t201 @t290 @t86) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t86 @t290) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t201 @t292) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t291 @t290))))) % 1.72/2.01 (assume @p291 (forall @t364 (=> @t208 (= @t365 @t366)))) % 1.72/2.01 (assume @p292 (forall @t94 (=> @t53 @t294))) % 1.72/2.01 (assume @p293 (forall (@list @t15 @t14 @t56) (=> @t73 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t93 @t56))))) % 1.72/2.01 (assume @p294 (forall (@list @t201 @t86 @t290) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t292 @t201) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t290 @t291)))) % 1.72/2.01 (assume @p295 (forall @t364 (=> @t208 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t206) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t58))))) % 1.72/2.01 (assume @p296 (forall @t369 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t15))))) % 1.72/2.01 (assume @p297 (forall @t369 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t57))))) % 1.72/2.01 (assume @p298 (forall @t71 (= @t227 (exists @t92 (= @t64 (tptp.c_Nat_OSuc @t91)))))) % 1.72/2.01 (assume @p299 (forall @t20 (=> @t61 @t211))) % 1.72/2.01 (assume @p300 (forall @t71 (=> @t70 @t342))) % 1.72/2.01 (assume @p301 (forall @t20 (=> @t211 @t61))) % 1.72/2.01 (assume @p302 (forall @t20 (=> @t54 @t343))) % 1.72/2.01 (assume @p303 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t66 @t64) @t227))) % 1.72/2.01 (assume @p304 (forall @t71 (= @t225 @t70))) % 1.72/2.01 (assume @p305 (forall @t68 (= @t198 @t72))) % 1.72/2.01 (assume @p306 (forall @t298 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t296) @t370)))) % 1.72/2.01 (assume @p307 (forall @t298 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t296 @t233) @t371)))) % 1.72/2.01 (assume @p308 (forall @t266 (=> @t304 (=> @t323 (=> @t322 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t131)))))) % 1.72/2.01 (assume @p309 (forall @t127 (=> @t304 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t100) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t121) (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t100 @t121) @t233) @t373)))))) % 1.72/2.01 (assume @p310 (forall @t42 (=> @t304 (=> @t323 (=> @t120 @t374))))) % 1.72/2.01 (assume @p311 (forall (@list @t37 @t35 @t34 @t11) (=> @t304 (=> @t375 (=> @t115 @t374))))) % 1.72/2.01 (assume @p312 (forall @t266 (=> @t304 (=> @t327 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t131 @t233)))))) % 1.72/2.01 (assume @p313 (forall @t52 (= @t18 @t376))) % 1.72/2.01 (assume @p314 (forall @t52 (= @t18 @t377))) % 1.72/2.01 (assume @p315 (= (tptp.hAPP @t146 @t212) @t189)) % 1.72/2.01 (assume @p316 (forall @t71 (= (= @t200 @t319) @t380))) % 1.72/2.01 (assume @p317 (forall @t71 (= (= @t319 @t200) @t380))) % 1.72/2.01 (assume @p318 (forall @t361 (= @t152 (forall @t160 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t165 @t164))))) % 1.72/2.01 (assume @p319 (forall @t209 (=> @t208 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t207) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t74 @t205))))) % 1.72/2.01 (assume @p320 (forall @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t381)))) % 1.72/2.01 (assume @p321 (forall @t385 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t384) (or (= @t10 @t199) (= @t10 @t200))))) % 1.72/2.01 (assume @p322 (forall @t237 (=> @t382 (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t386)))) % 1.72/2.01 (assume @p323 (forall @t383 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t233))))) % 1.72/2.01 (assume @p324 (forall @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t196)))) % 1.72/2.01 (assume @p325 (forall @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t196)))) % 1.72/2.01 (assume @p326 (forall @t383 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t196 @t233))))) % 1.72/2.01 (assume @p327 (forall @t42 (=> @t382 (=> @t303 @t325)))) % 1.72/2.01 (assume @p328 (forall @t298 (=> @t387 @t299))) % 1.72/2.01 (assume @p329 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 tptp.v_d____)) % 1.72/2.01 (assume @p330 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 tptp.v_r)) % 1.72/2.01 (assume @p331 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t153))) % 1.72/2.01 (assume @p332 (forall @t348 (= @t346 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t100 @t121) @t388)))) % 1.72/2.01 (assume @p333 (forall @t128 (=> @t104 (= (tptp.c_Orderings_Oord__class_Oless @t102 @t2 @t1) (and @t103 (not (tptp.c_Orderings_Oord__class_Oless__eq @t102 @t1 @t2))))))) % 1.72/2.01 (assume @p334 (not (= @t388 @t189))) % 1.72/2.01 (assume @p335 (= (tptp.hAPP @t146 @t199) @t388)) % 1.72/2.01 (assume @p336 (forall @t220 (= (= @t148 @t388) @t221))) % 1.72/2.01 (assume @p337 (forall @t52 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t153 @t388)))) % 1.72/2.01 (assume @p338 (forall @t94 (=> @t53 (= (tptp.hAPP @t146 @t217) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t154 @t153))))) % 1.72/2.01 (assume @p339 (forall @t99 (=> @t387 @t253))) % 1.72/2.01 (assume @p340 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t148 @t388) @t221))) % 1.72/2.01 (assume @p341 (forall @t52 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t191))) % 1.72/2.01 (assume @p342 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t148) @t219))) % 1.72/2.01 (assume @p343 (forall @t298 (=> @t297 (= (= @t296 @t233) @t356)))) % 1.72/2.01 (assume @p344 (forall @t383 (=> @t389 (not (= @t196 @t233))))) % 1.72/2.01 (assume @p345 (forall @t383 (=> @t389 (not (= @t233 @t196))))) % 1.72/2.01 (assume @p346 (forall (@list @t390 @t10 @t15) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t390)) (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 @t10 @t15)) @t390))))) % 1.72/2.01 (assume @p347 (forall @t391 (=> @t242 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t38 @t47) (tptp.c_Groups_Oplus__class_Oplus @t11 @t328 (tptp.c_Groups_Ominus__class_Ominus @t11 @t34 @t46)))))) % 1.72/2.01 (assume @p348 (forall @t393 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t153 @t10) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t190) (= @t392 @t377))))) % 1.72/2.01 (assume @p349 (forall (@list @t64 @t282) (=> @t317 (=> (tptp.hBOOL @t283) (exists @t92 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t90 @t64) (forall @t396 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t394 @t90) (not @t395))) (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t212))))))))) % 1.72/2.01 (assume @p350 (forall @t400 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t398) (= @t398 (tptp.c_Nat_OSuc @t399))))) % 1.72/2.01 (assume @p351 (forall (@list @t401 @t11) (=> @t235 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t401) @t199) (= @t401 (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t11))))))) % 1.72/2.01 (assume @p352 (forall @t383 (=> @t387 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t196) @t196)))) % 1.72/2.01 (assume @p353 (= (tptp.c_RComplete_Onatceiling @t388) @t199)) % 1.72/2.01 (assume @p354 (forall (@list @t100 @t402 @t11) (=> @t404 (= (= @t403 @t100) (= @t100 @t403))))) % 1.72/2.01 (assume @p355 (forall @t127 (=> (and @t407 (tptp.class_Int_Oring__char__0 @t11)) (= (= @t406 @t405) @t122)))) % 1.72/2.01 (assume @p356 (forall @t52 (= (tptp.c_RComplete_Onatceiling @t153) @t14))) % 1.72/2.01 (assume @p357 (forall @t298 (=> @t409 (= (= @t408 @t233) @t356)))) % 1.72/2.01 (assume @p358 (forall @t383 (=> @t409 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t233) @t233)))) % 1.72/2.01 (assume @p359 (forall @t266 (=> @t409 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t410 @t35) @t40)))) % 1.72/2.01 (assume @p360 (forall @t237 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t410)))) % 1.72/2.01 (assume @p361 (forall @t266 (=> @t409 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t412) @t412)))) % 1.72/2.01 (assume @p362 (forall @t266 (=> @t409 (= @t415 @t414)))) % 1.72/2.01 (assume @p363 (forall @t237 (=> @t409 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t410) @t410)))) % 1.72/2.01 (assume @p364 (forall @t127 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t406 @t405) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 @t121))))) % 1.72/2.01 (assume @p365 (forall @t127 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t406 @t405) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 @t121))))) % 1.72/2.01 (assume @p366 (forall @t421 (=> @t407 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t420 (tptp.c_Groups_Oplus__class_Oplus @t11 @t419 @t105)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t418 @t105))))) % 1.72/2.01 (assume @p367 (forall @t423 (=> @t407 (= @t422 @t418)))) % 1.72/2.01 (assume @p368 (forall @t423 (=> @t407 (= @t418 @t422)))) % 1.72/2.01 (assume @p369 (forall @t423 (=> @t407 (= (tptp.c_Int_Onumber__class_Onumber__of @t11 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t397 @t168)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t420 @t419))))) % 1.72/2.01 (assume @p370 (forall @t385 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t424) @t424))) % 1.72/2.01 (assume @p371 (forall @t385 (=> @t425 (= @t392 @t199)))) % 1.72/2.01 (assume @p372 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t199 @t392))) % 1.72/2.01 (assume @p373 (forall @t137 (=> @t167 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t392 (tptp.c_RComplete_Onatceiling @t95))))) % 1.72/2.01 (assume @p374 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 (tptp.hAPP @t146 @t392)))) % 1.72/2.01 (assume @p375 (= (tptp.c_RComplete_Onatceiling @t189) @t212)) % 1.72/2.01 (assume @p376 (forall @t237 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t410)))) % 1.72/2.01 (assume @p377 (forall @t298 (=> @t409 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t408 @t233) @t356)))) % 1.72/2.01 (assume @p378 (forall @t237 (=> @t409 (=> @t323 @t426)))) % 1.72/2.01 (assume @p379 (forall @t237 (=> @t409 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t410 @t233))))) % 1.72/2.01 (assume @p380 (forall @t298 (=> @t409 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t408) (not @t356))))) % 1.72/2.01 (assume @p381 (forall @t237 (=> @t409 (=> @t303 @t426)))) % 1.72/2.01 (assume @p382 (forall @t266 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t131) @t412)))) % 1.72/2.01 (assume @p383 (forall @t266 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t427) @t415)))) % 1.72/2.01 (assume @p384 (forall @t266 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t427 @t415)))) % 1.72/2.01 (assume @p385 (forall @t266 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t427 @t414)))) % 1.72/2.01 (assume @p386 (forall (@list @t428 @t24 @t100 @t11) (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t100 @t24)) @t428) (and (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t24 @t428) @t100) (tptp.c_Orderings_Oord__class_Oless @t11 @t100 (tptp.c_Groups_Oplus__class_Oplus @t11 @t24 @t428))))))) % 1.72/2.01 (assume @p387 (forall (@list @t402 @t429 @t11) (=> (and @t404 @t98) (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t430 @t403) (not (tptp.c_Orderings_Oord__class_Oless @t11 @t403 @t430)))))) % 1.72/2.01 (assume @p388 (forall (@list @t34 @t168 @t397 @t11) (=> @t407 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t420 (tptp.c_Groups_Ominus__class_Ominus @t11 @t419 @t34)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t418 @t34))))) % 1.72/2.01 (assume @p389 (forall @t432 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t431) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t392 @t37)))) % 1.72/2.01 (assume @p390 (forall @t436 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t433))))) % 1.72/2.01 (assume @p391 (forall @t439 (=> @t438 (= (tptp.c_RComplete_Onatceiling @t437) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t392 @t37))))) % 1.72/2.01 (assume @p392 (forall @t266 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t415 @t412)))) % 1.72/2.01 (assume @p393 (forall @t49 (=> @t409 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t442) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Oabs__class_Oabs @t11 @t441) (tptp.c_Groups_Oabs__class_Oabs @t11 @t440)))))) % 1.72/2.01 (assume @p394 (forall @t385 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t443 @t189) @t10)))) % 1.72/2.01 (assume @p395 (forall @t385 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t189 @t443)))) % 1.72/2.01 (assume @p396 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t212) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t189)))) % 1.72/2.01 (assume @p397 (forall @t432 (=> @t446 (= (tptp.c_RComplete_Onatceiling @t445) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t392 @t37))))) % 1.72/2.01 (assume @p398 (forall @t385 (=> @t446 (= (tptp.c_RComplete_Onatceiling @t447) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t392 @t212))))) % 1.72/2.01 (assume @p399 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____) tptp.v_r)) % 1.72/2.01 (assume @p400 (forall @t451 (=> @t450 (exists @t160 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t146 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t158 @t212)) @t449) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t449 @t448)))))) % 1.72/2.01 (assume @p401 (forall @t385 (=> @t446 (= (tptp.c_RComplete_Onatfloor @t447) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t452 @t212))))) % 1.72/2.01 (assume @p402 (forall (@list @t35 @t10 @t37) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t37 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t35) (exists @t312 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t309) (forall @t454 (=> (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 @t10 @t453)) @t309) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t453) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t453 @t35)))))))))) % 1.72/2.01 (assume @p403 (forall @t451 (=> @t450 (exists @t160 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t448 @t449) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t449 @t455)))))) % 1.72/2.01 (assume @p404 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.v_g____ @t158)) tptp.v_r))) % 1.72/2.01 (assume @p405 (forall @t459 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t458 @t105) @t456)))) % 1.72/2.01 (assume @p406 (forall @t461 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t457 @t460) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t460)))) % 1.72/2.01 (assume @p407 (forall @t464 (= @t463 @t462))) % 1.72/2.01 (assume @p408 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t402 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t460 @t457)) @t465))) % 1.72/2.01 (assume @p409 (forall @t464 (= @t463 (or @t465 (= @t402 @t460))))) % 1.72/2.01 (assume @p410 (forall @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t402 @t457) @t460) @t465))) % 1.72/2.01 (assume @p411 (forall @t461 (= (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 @t457 @t460) @t460) @t456) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t460 @t456)))) % 1.72/2.01 (assume @p412 (forall @t459 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t458)))) % 1.72/2.01 (assume @p413 (forall @t466 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t168 @t105) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t168 @t457) @t105)))) % 1.72/2.01 (assume @p414 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t457)) % 1.72/2.01 (assume @p415 (forall @t461 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t460) @t457) (= @t460 @t456)))) % 1.72/2.01 (assume @p416 (forall @t161 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t469 @t468) @t467))) % 1.72/2.01 (assume @p417 (forall @t137 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t10 @t95) @t109 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t10)))) % 1.72/2.01 (assume @p418 (forall @t161 (= @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t86 @t159) @t456)))) % 1.72/2.01 (assume @p419 (forall (@list @t105 @t471 @t168 @t472) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t472 @t168) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t471 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t472 @t471) @t470))))) % 1.72/2.01 (assume @p420 (forall @t60 (=> @t473 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t57 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t56))))) % 1.72/2.01 (assume @p421 (forall (@list @t402 @t460) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t460 @t402) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t460 @t402) (not (= @t460 @t402)))))) % 1.72/2.01 (assume @p422 (forall @t459 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t456) @t105))) % 1.72/2.01 (assume @p423 (forall @t459 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t456 @t105) @t105))) % 1.72/2.01 (assume @p424 (forall @t476 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 @t474) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t417)))) % 1.72/2.01 (assume @p425 (forall @t161 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t469 @t468) @t477))) % 1.72/2.01 (assume @p426 (forall @t52 (= (tptp.c_RComplete_Onatfloor @t479) @t478))) % 1.72/2.01 (assume @p427 (forall @t172 (=> @t481 (=> @t480 @t169)))) % 1.72/2.01 (assume @p428 (forall @t60 (=> @t482 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t58 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t57 @t56))))) % 1.72/2.01 (assume @p429 (forall @t60 (=> @t482 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t57) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t58))))) % 1.72/2.01 (assume @p430 (forall @t487 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t486 @t483) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t485 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t484 @t483))))) % 1.72/2.01 (assume @p431 (forall @t145 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t95 @t105)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t10 @t105))))) % 1.72/2.01 (assume @p432 (forall @t172 (or @t481 @t480))) % 1.72/2.01 (assume @p433 (forall @t172 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t168) @t470))) % 1.72/2.01 (assume @p434 (forall @t173 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t168 @t168))) % 1.72/2.01 (assume @p435 (forall @t52 (= (tptp.c_RComplete_Onatfloor @t153) @t14))) % 1.72/2.01 (assume @p436 (forall @t466 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t168) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t168 @t105)) @t488)))) % 1.72/2.01 (assume @p437 (forall @t52 (= (tptp.c_RComplete_Onatceiling @t479) @t478))) % 1.72/2.01 (assume @p438 (= (tptp.c_RComplete_Onatfloor @t388) @t199)) % 1.72/2.01 (assume @p439 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t199 @t452))) % 1.72/2.01 (assume @p440 (forall @t137 (=> @t167 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t452 (tptp.c_RComplete_Onatfloor @t95))))) % 1.72/2.01 (assume @p441 (= (tptp.c_RComplete_Onatfloor @t189) @t212)) % 1.72/2.01 (assume @p442 (forall @t385 (=> @t425 (= @t452 @t199)))) % 1.72/2.01 (assume @p443 (forall @t385 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t489 @t10)))) % 1.72/2.01 (assume @p444 (forall @t432 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t424 @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t490)))) % 1.72/2.01 (assume @p445 (forall @t500 (=> @t499 (= @t498 (exists @t494 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t493 @t492))))))) % 1.72/2.01 (assume @p446 (forall @t500 (=> @t499 (= @t498 (exists @t494 (forall @t160 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t493 @t492))))))) % 1.72/2.01 (assume @p447 (forall @t436 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24 @t501) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t433 @t100))))) % 1.72/2.01 (assume @p448 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t212 @t501) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t189 @t100)))) % 1.72/2.01 (assume @p449 (forall @t385 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t489 @t189)))) % 1.72/2.01 (assume @p450 (forall @t439 (=> @t438 (= (tptp.c_RComplete_Onatfloor @t437) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t452 @t37))))) % 1.72/2.01 (assume @p451 (forall @t385 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t10 @t189) @t489))) % 1.72/2.01 (assume @p452 (forall @t502 (=> @t446 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t153) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t452 @t14))))) % 1.72/2.01 (assume @p453 (forall @t432 (=> @t446 (= (tptp.c_RComplete_Onatfloor @t445) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t452 @t37))))) % 1.72/2.01 (assume @p454 (forall (@list @t14 @t105) (=> (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 @t105) @t212) @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t105 @t153)))) % 1.72/2.01 (assume @p455 (forall @t393 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t153 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t190) (= @t452 @t14))))) % 1.72/2.01 (assume @p456 (forall @t266 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t506) @t503)))) % 1.72/2.01 (assume @p457 (forall @t49 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 @t442) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t11 @t441) (tptp.c_RealVector_Onorm__class_Onorm @t11 @t440)))))) % 1.72/2.01 (assume @p458 (forall @t266 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t506 @t503)))) % 1.72/2.01 (assume @p459 (forall @t266 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t506 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t131))))) % 1.72/2.01 (assume @p460 (forall @t266 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t503 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t505 @t504))))) % 1.72/2.01 (assume @p461 (forall @t160 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat tptp.v_N1____ @t158) @t509))) % 1.72/2.01 (assume @p462 (forall @t510 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t56) @t56))) % 1.72/2.01 (assume @p463 (forall @t451 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t449) @t511))) % 1.72/2.01 (assume @p464 (not (= @t456 @t457))) % 1.72/2.01 (assume @p465 (forall @t266 (=> @t507 (= @t503 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t413))))) % 1.72/2.01 (assume @p466 (forall @t237 (=> @t507 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t505) @t505)))) % 1.72/2.01 (assume @p467 (forall @t197 (=> @t507 (= (= @t512 @t388) @t234)))) % 1.72/2.01 (assume @p468 (forall @t383 (=> @t507 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t233) @t388)))) % 1.72/2.01 (assume @p469 (forall @t13 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t513)))) % 1.72/2.01 (assume @p470 (forall @t13 (=> @t507 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t513 @t388))))) % 1.72/2.01 (assume @p471 (forall @t383 (=> @t514 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t196) @t189)))) % 1.72/2.01 (assume @p472 (forall @t515 (=> (and @t407 @t514) (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t419) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t168)))))) % 1.72/2.01 (assume @p473 (forall @t197 (=> @t507 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t512 @t388) @t234)))) % 1.72/2.01 (assume @p474 (forall @t197 (=> @t507 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t512) @t516)))) % 1.72/2.01 (assume @p475 (forall @t99 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t519 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t513 @t517))))) % 1.72/2.01 (assume @p476 (forall @t522 (=> @t507 (=> @t521 (=> @t520 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t519 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t449 @t262))))))) % 1.72/2.01 (assume @p477 (forall (@list @t37 @t35) (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 @t35 @t37)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t35)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t37)))) % 1.72/2.01 (assume @p478 (forall @t137 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t10 @t95)))))) % 1.72/2.01 (assume @p479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t457)) % 1.72/2.01 (assume @p480 (forall (@list @t525) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t525) (exists @t494 (forall @t160 (=> @t526 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 @t525))))))) % 1.72/2.01 (assume @p481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t456)) % 1.72/2.01 (assume @p482 (exists @t494 (forall @t160 (=> @t526 @t509)))) % 1.72/2.01 (assume @p483 (not (forall (@list @t527) (not (forall @t160 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t158) @t509)))))) % 1.72/2.01 (assume @p484 (forall @t393 (=> @t529 (=> @t446 (= (tptp.c_RComplete_Onatceiling @t528) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t392 @t478)))))) % 1.72/2.01 (assume @p485 (forall @t393 (=> @t529 (=> @t446 (= (tptp.c_RComplete_Onatfloor @t528) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t452 @t478)))))) % 1.72/2.01 (assume @p486 (not (tptp.c_Nat__Numeral_Oneg @t456))) % 1.72/2.01 (assume @p487 (not (tptp.c_Nat__Numeral_Oneg @t457))) % 1.72/2.01 (assume @p488 (forall @t444 (= (not (tptp.c_Nat__Numeral_Oneg @t100)) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t100)))) % 1.72/2.01 (assume @p489 (forall (@list @t530) (= (tptp.c_Nat__Numeral_Oneg @t530) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t530 @t456)))) % 1.72/2.01 (assume @p490 (forall @t400 (=> @t531 (= @t398 @t199)))) % 1.72/2.01 (assume @p491 (forall @t539 (= (= @t538 @t537) (and (=> @t536 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t533 @t456)) (=> (not @t536) (and (=> @t534 (= @t535 @t456)) (=> (not @t534) (= @t429 @t532)))))))) % 1.72/2.01 (assume @p492 (forall @t547 (and (=> @t531 (= @t544 @t543)) (=> @t546 (and (=> @t545 (= @t544 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t398 @t56))) (=> (not @t545) (= @t544 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t541 @t56)))))))) % 1.72/2.01 (assume @p493 (forall @t400 (and (=> @t531 (= @t548 @t388)) (=> @t546 (= @t548 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t397)))))) % 1.72/2.01 (assume @p494 (forall @t552 (=> @t551 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t501) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t549 @t100)))))) % 1.72/2.01 (assume @p495 (forall @t552 (=> @t551 (=> @t435 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t550) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t549)))))) % 1.72/2.01 (assume @p496 (forall (@list @t14 @t397) (and (=> @t531 (= @t554 @t376)) (=> @t546 (= @t554 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t553 @t14)))))) % 1.72/2.01 (assume @p497 (forall @t400 (and (=> @t531 (= @t555 @t212)) (=> @t546 (= @t555 @t553))))) % 1.72/2.01 (assume @p498 (forall (@list @t175 @t556 @t11 @t101) (=> (and @t499 @t118) (=> (forall @t160 (=> @t558 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t101 (tptp.c_Groups_Ominus__class_Ominus @t101 @t557 @t177)) @t189))) (forall @t160 (=> @t558 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t493 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t189 (tptp.c_RealVector_Onorm__class_Onorm @t101 @t557))))))))) % 1.72/2.01 (assume @p499 (forall @t459 (=> (= @t488 @t189) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t105 @t559)) @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t105 @t559)) @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t105 tptp.c_Complex_Oii)) @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t105 tptp.c_Complex_Oii)) @t189))))) % 1.72/2.01 (assume @p500 (not (= tptp.c_Complex_Oii @t560))) % 1.72/2.01 (assume @p501 (not (= tptp.c_Complex_Oii @t559))) % 1.72/2.01 (assume @p502 (forall @t173 (not (= tptp.c_Complex_Oii (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t168))))) % 1.72/2.01 (assume @p503 (forall @t510 (= @t561 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t457)))) % 1.72/2.01 (assume @p504 (forall (@list @t56 @t11) (=> @t407 (= (tptp.c_Int_Onumber__class_Onumber__of @t11 @t561) (tptp.c_Groups_Oplus__class_Oplus @t11 @t196 (tptp.c_Int_Onumber__class_Onumber__of @t11 @t56)))))) % 1.72/2.01 (assume @p505 (forall @t565 (and @t564 (=> (not @t563) (= @t562 @t456))))) % 1.72/2.01 (assume @p506 (forall @t182 (=> @t507 (= @t567 (exists @t494 (forall @t160 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t566 @t492))))))) % 1.72/2.01 (assume @p507 (forall @t182 (=> @t507 (= @t567 (exists @t494 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t566 @t492))))))) % 1.72/2.01 (assume @p508 (forall @t182 (=> @t507 (= @t567 @t568)))) % 1.72/2.01 (assume @p509 (forall @t137 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t562))))) % 1.72/2.01 (assume @p510 (forall @t565 @t564)) % 1.72/2.01 (assume @p511 (forall @t182 (=> @t507 (=> @t567 @t568)))) % 1.72/2.01 (assume @p512 (forall (@list @t175 @t569 @t11) (=> @t507 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t569) (=> (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t566 @t569)) @t567))))) % 1.72/2.01 (assume @p513 (forall @t400 (and (=> @t571 (= @t570 @t212)) (=> @t572 (= @t570 @t553))))) % 1.72/2.01 (assume @p514 (forall @t400 (and (=> @t571 (= @t573 @t212)) (=> @t572 (= @t573 @t553))))) % 1.72/2.01 (assume @p515 (= tptp.c_Int_OPls @t456)) % 1.72/2.01 (assume @p516 (forall @t510 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t56) @t56))) % 1.72/2.01 (assume @p517 (forall @t510 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 tptp.c_Int_OPls) @t56))) % 1.72/2.01 (assume @p518 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.72/2.01 (assume @p519 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.72/2.01 (assume @p520 (forall @t510 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t56 tptp.c_Int_OPls) @t56))) % 1.72/2.01 (assume @p521 (forall @t383 (=> @t407 (= @t574 @t233)))) % 1.72/2.01 (assume @p522 (forall @t383 (=> @t407 (= @t233 @t574)))) % 1.72/2.01 (assume @p523 (forall @t237 (=> @t407 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t574 @t37) @t37)))) % 1.72/2.01 (assume @p524 (forall @t237 (=> @t407 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t574) @t37)))) % 1.72/2.01 (assume @p525 (= @t575 @t199)) % 1.72/2.01 (assume @p526 (= @t199 @t575)) % 1.72/2.01 (assume @p527 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t456))) % 1.72/2.01 (assume @p528 (= @t456 @t576)) % 1.72/2.01 (assume @p529 (not (tptp.c_Nat__Numeral_Oneg @t576))) % 1.72/2.01 (assume @p530 (forall @t578 (= (= @t199 @t538) @t577))) % 1.72/2.01 (assume @p531 (forall @t578 (= @t579 @t577))) % 1.72/2.01 (assume @p532 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t538 @t537) (and (=> @t580 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t532)) @t580)))) % 1.72/2.01 (assume @p533 (forall @t539 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t538 @t537) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t429 @t532)) @t577)))) % 1.72/2.01 (assume @p534 (forall @t197 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t406 @t233) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 tptp.c_Int_OPls))))) % 1.72/2.01 (assume @p535 (forall @t581 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t405) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t121))))) % 1.72/2.01 (assume @p536 (forall @t197 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t406 @t233) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 tptp.c_Int_OPls))))) % 1.72/2.01 (assume @p537 (forall @t581 (=> @t416 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t405) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t121))))) % 1.72/2.01 (assume @p538 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t538) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t429)))) % 1.72/2.01 (assume @p539 (forall @t584 (and (=> @t571 (= @t582 @t542)) (=> @t572 (and (=> @t583 (= @t582 @t398)) (=> (not @t583) (= @t582 @t541))))))) % 1.72/2.01 (assume @p540 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t576)) % 1.72/2.01 (assume @p541 (forall @t400 (and (=> @t586 (= @t399 @t199)) (=> (not @t586) (= @t399 @t585))))) % 1.72/2.01 (assume @p542 (forall (@list @t15 @t397) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t397) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t398) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t585))))) % 1.72/2.01 (assume @p543 (= (tptp.c_Complex_Oexpi @t560) @t559)) % 1.72/2.01 (assume @p544 (forall @t385 (= (tptp.c_Int_Osucc (tptp.c_Int_Opred @t10)) @t10))) % 1.72/2.01 (assume @p545 (forall @t161 (= @t477 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_Opred @t86) @t159)))) % 1.72/2.01 (assume @p546 (forall @t510 (= (tptp.c_Int_Opred @t56) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t56 @t457)))) % 1.72/2.01 (assume @p547 (forall @t578 (= (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_Opred @t429))) @t579))) % 1.72/2.01 (assume @p548 (forall (@list @t105 @t10 @t46) (=> @t589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t10 @t588) @t105)))) % 1.72/2.01 (assume @p549 (forall (@list @t10 @t105 @t46) (=> @t589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t105 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t10 @t588))))) % 1.72/2.01 (assume @p550 (forall @t595 (=> @t407 (and (=> @t593 @t594) (=> (not @t593) @t592))))) % 1.72/2.01 (assume @p551 (forall @t60 (=> @t473 (=> @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t598 @t57) (tptp.hAPP @t598 @t58)))))) % 1.72/2.01 (assume @p552 (forall @t13 (=> @t602 (= (tptp.hAPP @t601 @t233) @t233)))) % 1.72/2.01 (assume @p553 (forall @t237 (=> @t602 @t604))) % 1.72/2.01 (assume @p554 (forall @t606 (=> @t602 (= (tptp.hAPP @t605 @t95) @t233)))) % 1.72/2.01 (assume @p555 (forall (@list @t35 @t11) (=> @t602 (= (tptp.hAPP @t605 @t35) @t233)))) % 1.72/2.01 (assume @p556 (forall @t237 (=> @t192 @t607))) % 1.72/2.01 (assume @p557 (forall @t237 (=> @t192 @t604))) % 1.72/2.01 (assume @p558 (forall @t237 (=> @t608 @t607))) % 1.72/2.01 (assume @p559 (forall @t237 (=> @t608 @t604))) % 1.72/2.01 (assume @p560 (forall @t243 (=> (tptp.class_Rings_Oring__no__zero__divisors @t11) (= (= @t610 @t233) (or @t356 (= @t23 @t233)))))) % 1.72/2.01 (assume @p561 (forall @t266 (=> @t617 (=> @t616 (=> @t614 (not @t612)))))) % 1.72/2.01 (assume @p562 (forall @t266 (=> @t617 (=> @t612 (or @t615 @t613))))) % 1.72/2.01 (assume @p563 (forall @t421 (=> @t407 (= (tptp.hAPP @t621 (tptp.hAPP (tptp.hAPP @t600 @t419) @t105)) (tptp.hAPP (tptp.hAPP @t600 @t620) @t105))))) % 1.72/2.01 (assume @p564 (forall @t476 (= (tptp.hAPP (tptp.hAPP @t587 @t475) @t474) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t619)))) % 1.72/2.01 (assume @p565 (forall @t423 (=> @t407 (= @t622 @t620)))) % 1.72/2.01 (assume @p566 (forall @t423 (=> @t407 (= @t620 @t622)))) % 1.72/2.01 (assume @p567 (forall @t52 (not (tptp.c_Nat__Numeral_Oneg @t623)))) % 1.72/2.01 (assume @p568 (forall @t238 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t624) @t624))) % 1.72/2.01 (assume @p569 (forall @t626 (=> @t387 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t625) @t625)))) % 1.72/2.01 (assume @p570 (forall @t629 (=> @t602 (= (tptp.hAPP @t603 (tptp.c_Groups_Oplus__class_Oplus @t11 @t35 @t627)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t611 @t628))))) % 1.72/2.01 (assume @p571 (forall @t634 (=> @t602 (= (tptp.hAPP @t631 @t518) (tptp.c_Groups_Oplus__class_Oplus @t11 @t633 @t632))))) % 1.72/2.01 (assume @p572 (forall @t637 (=> @t602 (= (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t635)) @t35) (tptp.c_Groups_Oplus__class_Oplus @t11 @t611 @t636))))) % 1.72/2.01 (assume @p573 (forall @t642 (=> @t602 (= (tptp.hAPP (tptp.hAPP @t600 @t518) @t638) (tptp.c_Groups_Oplus__class_Oplus @t11 @t641 @t640))))) % 1.72/2.01 (assume @p574 (forall @t647 (= (tptp.hAPP (tptp.hAPP @t587 @t486) @t168) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t646 @t644)))) % 1.72/2.01 (assume @p575 (forall @t651 (= (tptp.hAPP @t648 @t486) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t650 @t649)))) % 1.72/2.01 (assume @p576 (forall (@list @t34 @t35 @t390 @t37 @t11) (=> (tptp.class_Rings_Osemiring @t11) (= (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t603 @t390) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t653 @t390) @t34)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t652 @t390) @t34))))) % 1.72/2.01 (assume @p577 (forall @t42 (=> (tptp.class_Rings_Ocomm__semiring @t11) @t656))) % 1.72/2.01 (assume @p578 (forall (@list @t460 @t100 @t121 @t402 @t11) (=> @t358 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t658 @t121) (tptp.hAPP @t657 @t460)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t658 @t460) (tptp.hAPP @t657 @t121))) (or (= @t402 @t100) (= @t121 @t460)))))) % 1.72/2.01 (assume @p579 (forall (@list @t35 @t15 @t37 @t11) (=> @t192 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t659 (tptp.hAPP @t653 @t15)) (tptp.hAPP @t652 @t15))))) % 1.72/2.01 (assume @p580 (forall @t42 (=> @t192 @t656))) % 1.72/2.01 (assume @p581 (forall @t281 (=> @t358 (= (and (not @t241) (not @t279)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t662 (tptp.hAPP @t660 @t278)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t609 @t278) @t661))))))) % 1.72/2.01 (assume @p582 (forall @t112 (=> @t192 (= (tptp.hAPP @t601 (tptp.c_Groups_Oplus__class_Oplus @t11 @t95 @t105)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t663 (tptp.hAPP @t601 @t105)))))) % 1.72/2.01 (assume @p583 (forall @t237 (=> @t387 (= (tptp.hAPP @t665 @t410) @t664)))) % 1.72/2.01 (assume @p584 (forall @t266 (=> @t387 @t667))) % 1.72/2.01 (assume @p585 (= @t146 @t668)) % 1.72/2.01 (assume @p586 (forall @t42 (=> (tptp.class_Groups_Oab__semigroup__mult @t11) (= (tptp.hAPP (tptp.hAPP @t600 @t611) @t34) (tptp.hAPP @t603 @t654))))) % 1.72/2.01 (assume @p587 (forall @t671 (=> (tptp.class_Nat_Osemiring__char__0 @t11) (= (= @t670 @t669) @t140)))) % 1.72/2.01 (assume @p588 (forall @t676 (=> @t203 (= (tptp.hAPP @t590 @t675) (tptp.hAPP (tptp.hAPP @t600 @t672) @t625))))) % 1.72/2.01 (assume @p589 (forall @t688 (=> @t192 (= @t687 (tptp.hAPP @t683 (tptp.hAPP @t679 @t677)))))) % 1.72/2.01 (assume @p590 (forall @t688 (=> @t192 (= @t687 (tptp.hAPP @t684 (tptp.hAPP @t686 @t677)))))) % 1.72/2.01 (assume @p591 (forall @t688 (=> @t192 (= @t687 (tptp.hAPP @t682 (tptp.hAPP @t679 @t685)))))) % 1.72/2.01 (assume @p592 (forall @t690 (=> @t192 (= @t689 (tptp.hAPP @t683 @t678))))) % 1.72/2.01 (assume @p593 (forall @t690 (=> @t192 (= @t689 (tptp.hAPP @t682 (tptp.hAPP @t679 @t680)))))) % 1.72/2.01 (assume @p594 (forall @t692 (=> @t192 (= @t691 (tptp.hAPP @t683 @t677))))) % 1.72/2.01 (assume @p595 (forall @t692 (=> @t192 (= @t691 (tptp.hAPP @t684 (tptp.hAPP @t682 @t677)))))) % 1.72/2.01 (assume @p596 (forall @t266 (=> @t192 (= @t611 @t693)))) % 1.72/2.01 (assume @p597 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t587 (tptp.hAPP @t645 @t484)) @t483) (tptp.hAPP @t645 (tptp.hAPP @t643 @t483))))) % 1.72/2.01 (assume @p598 (forall @t172 (= (tptp.hAPP @t694 @t168) (tptp.hAPP @t648 @t105)))) % 1.72/2.01 (assume @p599 (forall @t647 (= (tptp.hAPP (tptp.hAPP @t587 @t695) @t168) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t646 @t644)))) % 1.72/2.01 (assume @p600 (forall @t651 (= (tptp.hAPP @t648 @t695) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t650 @t649)))) % 1.72/2.01 (assume @p601 (forall @t99 (=> @t699 (= @t698 @t697)))) % 1.72/2.01 (assume @p602 (forall @t626 (=> @t514 (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t625) (tptp.hAPP @t668 @t14))))) % 1.72/2.01 (assume @p603 (forall @t99 (=> @t602 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t698 @t697)))) % 1.72/2.01 (assume @p604 (forall @t642 (=> @t602 (= (tptp.hAPP @t701 @t638) (tptp.c_Groups_Ominus__class_Ominus @t11 @t641 @t640))))) % 1.72/2.01 (assume @p605 (forall @t637 (=> @t602 (= (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t635)) @t35) (tptp.c_Groups_Ominus__class_Ominus @t11 @t611 @t636))))) % 1.72/2.01 (assume @p606 (forall @t634 (=> @t602 (= (tptp.hAPP @t631 @t700) (tptp.c_Groups_Ominus__class_Ominus @t11 @t633 @t632))))) % 1.72/2.01 (assume @p607 (forall @t629 (=> @t602 (= (tptp.hAPP @t603 (tptp.c_Groups_Ominus__class_Ominus @t11 @t35 @t627)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t611 @t628))))) % 1.72/2.01 (assume @p608 (forall @t522 (=> @t602 (=> @t521 (=> @t520 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t698 (tptp.hAPP (tptp.hAPP @t696 @t449) @t262))))))) % 1.72/2.01 (assume @p609 (forall @t459 (= (tptp.hAPP @t694 @t457) @t105))) % 1.72/2.01 (assume @p610 (forall @t459 (= (tptp.hAPP (tptp.hAPP @t587 @t457) @t105) @t105))) % 1.72/2.01 (assume @p611 (forall @t237 (=> @t703 @t702))) % 1.72/2.01 (assume @p612 (forall @t237 (=> @t704 @t702))) % 1.72/2.01 (assume @p613 (forall @t237 (=> @t703 @t705))) % 1.72/2.01 (assume @p614 (forall @t237 (=> @t704 @t705))) % 1.72/2.01 (assume @p615 (forall @t237 (=> @t192 @t705))) % 1.72/2.01 (assume @p616 (forall @t237 (=> @t192 @t702))) % 1.72/2.01 (assume @p617 (forall @t173 (= (tptp.hAPP (tptp.hAPP @t587 tptp.c_Int_OPls) @t168) tptp.c_Int_OPls))) % 1.72/2.01 (assume @p618 (forall @t626 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t625)))) % 1.72/2.01 (assume @p619 (forall @t706 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t672)))) % 1.72/2.01 (assume @p620 (forall @t706 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t672 @t233))))) % 1.72/2.01 (assume @p621 (forall @t383 (=> @t203 (= (tptp.hAPP @t590 @t199) @t233)))) % 1.72/2.01 (assume @p622 (forall @t676 (=> @t382 (=> @t707 @t211)))) % 1.72/2.01 (assume @p623 (forall @t676 (=> @t382 (=> @t211 @t707)))) % 1.72/2.01 (assume @p624 (forall @t671 (=> @t382 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t670 @t669) @t227)))) % 1.72/2.01 (assume @p625 (forall @t671 (=> @t382 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t670 @t669) @t70)))) % 1.72/2.01 (assume @p626 (forall @t676 (=> @t203 (= (tptp.hAPP @t590 @t16) (tptp.c_Groups_Oplus__class_Oplus @t11 @t672 @t625))))) % 1.72/2.01 (assume @p627 (forall @t383 (=> @t203 (= (tptp.hAPP @t590 @t212) @t196)))) % 1.72/2.01 (assume @p628 (= @t456 @t708)) % 1.72/2.01 (assume @p629 (= @t708 @t456)) % 1.72/2.01 (assume @p630 (forall @t220 (= (= @t709 @t456) @t221))) % 1.72/2.01 (assume @p631 (forall @t237 (=> @t710 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t664)))) % 1.72/2.01 (assume @p632 (forall @t243 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t610) (or (and @t370 @t712) (and @t371 @t711)))))) % 1.72/2.01 (assume @p633 (forall @t243 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t610 @t233) (or (and @t370 @t711) (and @t371 @t712)))))) % 1.72/2.01 (assume @p634 (forall @t266 (=> @t715 (=> @t323 (=> @t322 @t714))))) % 1.72/2.01 (assume @p635 (forall @t266 (=> @t715 (=> @t323 (=> @t326 @t716))))) % 1.72/2.01 (assume @p636 (forall @t266 (=> @t715 (=> @t323 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t693 @t233)))))) % 1.72/2.01 (assume @p637 (forall @t266 (=> @t715 (=> @t327 (=> @t322 @t716))))) % 1.72/2.01 (assume @p638 (forall @t266 (=> @t717 (=> @t327 (=> @t326 @t714))))) % 1.72/2.01 (assume @p639 (forall @t42 (=> @t719 (=> @t40 (=> @t375 @t718))))) % 1.72/2.01 (assume @p640 (forall @t42 (=> @t719 @t724))) % 1.72/2.01 (assume @p641 (forall @t42 (=> (tptp.class_Rings_Oordered__comm__semiring @t11) @t724))) % 1.72/2.01 (assume @p642 (forall @t116 (=> @t717 (=> @t115 (=> @t725 @t718))))) % 1.72/2.01 (assume @p643 (forall @t116 (=> @t717 (=> @t115 (=> @t725 @t723))))) % 1.72/2.01 (assume @p644 (forall @t49 (=> @t719 (=> @t40 (=> @t48 (=> @t323 @t727)))))) % 1.72/2.01 (assume @p645 (forall @t49 (=> @t719 (=> @t40 (=> @t48 (=> @t322 @t727)))))) % 1.72/2.01 (assume @p646 (forall @t266 (=> @t717 (=> (or (and @t323 @t322) (and @t327 @t326)) @t714)))) % 1.72/2.01 (assume @p647 (forall @t266 (=> @t715 (=> (or (and @t323 @t326) (and @t327 @t322)) @t716)))) % 1.72/2.01 (assume @p648 (forall @t237 (=> @t710 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t664 @t233))))) % 1.72/2.01 (assume @p649 (forall @t30 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t662 @t661) @t731)))) % 1.72/2.01 (assume @p650 (forall @t33 (=> @t713 (= @t735 @t731)))) % 1.72/2.01 (assume @p651 (forall @t33 (=> @t713 (=> @t730 (= @t735 @t244))))) % 1.72/2.01 (assume @p652 (forall @t266 (=> @t737 (=> @t303 (=> @t301 @t736))))) % 1.72/2.01 (assume @p653 (forall @t266 (=> @t737 (=> @t303 (=> @t306 @t738))))) % 1.72/2.01 (assume @p654 (forall @t266 (=> @t737 (=> @t303 (=> @t306 (tptp.c_Orderings_Oord__class_Oless @t11 @t693 @t233)))))) % 1.72/2.01 (assume @p655 (forall @t266 (=> @t737 (=> @t736 @t739)))) % 1.72/2.01 (assume @p656 (forall @t267 (=> @t737 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t693) @t739)))) % 1.72/2.01 (assume @p657 (forall @t33 (=> @t713 (=> @t729 (= @t735 @t728))))) % 1.72/2.01 (assume @p658 (forall @t266 (=> @t737 (=> @t308 (=> @t301 @t738))))) % 1.72/2.01 (assume @p659 (forall @t266 (=> @t713 (=> @t308 (=> @t306 @t736))))) % 1.72/2.01 (assume @p660 (forall @t42 (=> @t737 (=> @t265 (=> @t741 @t740))))) % 1.72/2.01 (assume @p661 (forall @t42 (=> @t737 @t743))) % 1.72/2.01 (assume @p662 (forall @t42 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t11) @t743))) % 1.72/2.01 (assume @p663 (forall @t116 (=> @t713 (=> @t264 (=> @t744 @t740))))) % 1.72/2.01 (assume @p664 (forall @t116 (=> @t713 (=> @t264 (=> @t744 @t742))))) % 1.72/2.01 (assume @p665 (forall @t748 (= (forall @t6 (=> @t747 @t746)) (forall @t6 @t745)))) % 1.72/2.01 (assume @p666 (forall @t748 (= (exists @t6 (and @t747 @t746)) (exists @t6 @t745)))) % 1.72/2.01 (assume @p667 (forall @t459 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.hAPP @t596 @t105)))) % 1.72/2.01 (assume @p668 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t623))) % 1.72/2.01 (assume @p669 (forall @t510 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t597 @t456)))) % 1.72/2.01 (assume @p670 (forall @t127 (=> @t713 (= (= @t749 @t233) @t373)))) % 1.72/2.01 (assume @p671 (forall (@list @t46 @t34 @t35 @t37 @t449 @t11) (=> @t358 (=> (not (= @t449 @t233)) (=> (and @t119 (not (= @t34 @t46))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 (tptp.hAPP @t750 @t34)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t35 (tptp.hAPP @t750 @t46))))))))) % 1.72/2.01 (assume @p672 (forall @t348 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t753 @t752) @t751))) % 1.72/2.01 (assume @p673 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t754 @t709) @t227))) % 1.72/2.01 (assume @p674 (forall @t348 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t753 @t752) @t755))) % 1.72/2.01 (assume @p675 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t754 @t709) @t70))) % 1.72/2.01 (assume @p676 (forall @t676 (=> @t382 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t15) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t14) (tptp.c_Orderings_Oord__class_Oless @t11 @t196 (tptp.hAPP @t756 @t14))))))) % 1.72/2.01 (assume @p677 (forall @t763 (=> @t762 (= (tptp.hAPP (tptp.hAPP @t758 (tptp.c_Groups_Oplus__class_Oplus @t101 @t37 @t35)) @t757) (tptp.c_Groups_Oplus__class_Oplus @t101 @t760 @t759))))) % 1.72/2.01 (assume @p678 (forall @t767 (=> @t762 (= (tptp.hAPP @t764 (tptp.c_Groups_Oplus__class_Oplus @t101 @t35 @t34)) (tptp.c_Groups_Oplus__class_Oplus @t101 @t766 @t765))))) % 1.72/2.01 (assume @p679 (forall @t464 (= @t462 (exists @t160 (= @t460 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t402 @t768)))))) % 1.72/2.01 (assume @p680 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t770 @t769) (tptp.hAPP @t596 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t10 @t95))))) % 1.72/2.01 (assume @p681 (forall @t20 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t624 @t623) @t771))) % 1.72/2.01 (assume @p682 (forall (@list @t105 @t14 @t15) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t624 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t623 @t105)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t771 @t105)))) % 1.72/2.01 (assume @p683 (forall @t778 (=> @t777 (= @t776 (= @t26 @t773))))) % 1.72/2.01 (assume @p684 (forall @t778 (=> @t777 (= @t776 (= @t779 @t278))))) % 1.72/2.01 (assume @p685 (forall @t784 (=> @t777 (= @t783 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t601 @t782) @t781))))) % 1.72/2.01 (assume @p686 (forall @t784 (=> @t602 (= @t783 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t780 @t782) @t781) (tptp.hAPP @t603 @t782)))))) % 1.72/2.01 (assume @p687 (forall @t706 (=> @t192 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t15) (tptp.hAPP (tptp.hAPP @t600 @t381) @t15))))) % 1.72/2.01 (assume @p688 (forall (@list @t37 @t15 @t11) (=> @t192 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t15 @t659) @t785)))) % 1.72/2.01 (assume @p689 (forall (@list @t15 @t37 @t11) (=> @t192 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t659 @t15) @t785)))) % 1.72/2.01 (assume @p690 (forall @t767 (=> @t786 (= (tptp.hAPP @t764 (tptp.c_Groups_Ominus__class_Ominus @t101 @t35 @t34)) (tptp.c_Groups_Ominus__class_Ominus @t101 @t766 @t765))))) % 1.72/2.01 (assume @p691 (forall @t763 (=> @t786 (= (tptp.hAPP (tptp.hAPP @t758 (tptp.c_Groups_Ominus__class_Ominus @t101 @t37 @t35)) @t757) (tptp.c_Groups_Ominus__class_Ominus @t101 @t760 @t759))))) % 1.72/2.01 (assume @p692 (= @t457 @t787)) % 1.72/2.01 (assume @p693 (= @t787 @t457)) % 1.72/2.01 (assume @p694 (forall @t391 (=> @t387 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t410 @t34) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t411 @t46) (tptp.c_Orderings_Oord__class_Oless @t11 @t666 (tptp.hAPP @t720 @t46))))))) % 1.72/2.01 (assume @p695 (forall @t137 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.hAPP (tptp.hAPP @t587 @t10) @t95)))))) % 1.72/2.01 (assume @p696 (forall @t60 (=> @t473 (=> @t789 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t788 @t57) (tptp.hAPP @t788 @t58)))))) % 1.72/2.01 (assume @p697 (forall @t20 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t587 @t15) @t14)) @t457) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t15) @t457)))) % 1.72/2.01 (assume @p698 (forall @t137 (= (tptp.c_Nat__Transfer_Otsub @t770 @t769) (tptp.hAPP @t596 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t10 @t95))))) % 1.72/2.01 (assume @p699 (forall @t706 (=> @t203 (= (tptp.hAPP @t590 @t21) (tptp.c_Groups_Oplus__class_Oplus @t11 @t196 @t672))))) % 1.72/2.01 (assume @p700 (forall @t791 (=> @t790 (=> @t53 (= (tptp.hAPP @t590 @t217) (tptp.c_Groups_Ominus__class_Ominus @t11 @t672 @t625)))))) % 1.72/2.01 (assume @p701 (forall @t33 (=> @t713 (=> @t730 (= @t792 @t25))))) % 1.72/2.01 (assume @p702 (forall @t33 (=> @t713 (=> @t729 (= @t792 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t23 @t24)))))) % 1.72/2.01 (assume @p703 (forall @t49 (=> @t737 (=> @t265 (=> @t334 (=> @t301 @t794)))))) % 1.72/2.01 (assume @p704 (forall @t49 (=> @t737 (=> @t265 (=> @t334 (=> @t323 @t794)))))) % 1.72/2.01 (assume @p705 (forall @t49 (=> @t737 (=> @t265 (=> @t48 (=> @t323 (=> @t741 @t793))))))) % 1.72/2.01 (assume @p706 (forall @t49 (=> @t737 (=> @t40 (=> @t334 (=> @t303 @t794)))))) % 1.72/2.01 (assume @p707 (forall @t50 (=> @t797 @t796))) % 1.72/2.01 (assume @p708 (forall @t50 (=> @t737 @t796))) % 1.72/2.01 (assume @p709 (forall @t51 (=> @t797 @t798))) % 1.72/2.01 (assume @p710 (forall @t51 (=> @t737 @t798))) % 1.72/2.01 (assume @p711 (forall @t50 (=> @t737 (=> @t718 @t799)))) % 1.72/2.01 (assume @p712 (forall @t51 (=> @t737 (=> @t723 @t799)))) % 1.72/2.01 (assume @p713 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t709 @t456) @t221))) % 1.72/2.01 (assume @p714 (forall @t127 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t749 @t233) @t373)))) % 1.72/2.01 (assume @p715 (forall @t99 (=> @t710 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t801)))) % 1.72/2.01 (assume @p716 (= (tptp.hAPP @t596 @t200) @t457)) % 1.72/2.01 (assume @p717 (forall @t99 (=> @t710 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t801 @t233))))) % 1.72/2.01 (assume @p718 (forall @t127 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t749) (or @t516 (not @t372)))))) % 1.72/2.01 (assume @p719 (forall @t99 (=> @t387 (=> @t804 (=> @t803 (=> @t802 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t663 @t10))))))) % 1.72/2.01 (assume @p720 (forall @t99 (=> @t387 (=> @t804 (=> @t803 (=> @t802 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t805 @t10))))))) % 1.72/2.01 (assume @p721 (forall @t778 (=> @t717 (= @t806 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t779 @t278))))) % 1.72/2.01 (assume @p722 (forall @t778 (=> @t717 (= @t806 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t26 @t773))))) % 1.72/2.01 (assume @p723 (forall @t778 (=> @t717 (= @t807 (tptp.c_Orderings_Oord__class_Oless @t11 @t26 @t773))))) % 1.72/2.01 (assume @p724 (forall @t778 (=> @t717 (= @t807 (tptp.c_Orderings_Oord__class_Oless @t11 @t779 @t278))))) % 1.72/2.01 (assume @p725 (forall @t464 (= @t465 (exists @t160 (= @t460 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t402 (tptp.hAPP @t596 @t163))))))) % 1.72/2.01 (assume @p726 (forall @t238 (= (tptp.hAPP @t596 @t21) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t457 @t624)))) % 1.72/2.01 (assume @p727 (forall @t13 (=> @t790 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t800 @t196) (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Groups_Oplus__class_Oplus @t11 @t10 @t196)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t10 @t196)))))) % 1.72/2.01 (assume @p728 (forall @t266 (=> (tptp.class_Rings_Oordered__ring__abs @t11) (=> (and (or @t323 @t327) (or @t322 @t326)) @t667)))) % 1.72/2.01 (assume @p729 (forall @t99 (=> @t387 (=> @t804 (= (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Groups_Oabs__class_Oabs @t11 @t95)) @t10) (tptp.c_Groups_Oabs__class_Oabs @t11 @t805)))))) % 1.72/2.01 (assume @p730 (forall @t94 (=> @t53 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t624 @t623) (tptp.hAPP @t596 @t217))))) % 1.72/2.01 (assume @p731 (forall @t71 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t63) (= (= (tptp.hAPP (tptp.hAPP @t587 @t63) @t64) @t457) (and (= @t63 @t457) (= @t64 @t457)))))) % 1.72/2.01 (assume @p732 (forall (@list @t64 @t11) (=> @t382 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t669) @t219)))) % 1.72/2.01 (assume @p733 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t709) @t219))) % 1.72/2.01 (assume @p734 (forall @t813 (=> (tptp.class_Rings_Olinordered__semiring__1 @t11) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t10 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t37) (=> @t812 (=> @t811 (=> @t810 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t809 @t37))))))))) % 1.72/2.01 (assume @p735 (forall @t400 (and (=> @t531 (= @t814 @t456)) (=> @t546 (= @t814 @t475))))) % 1.72/2.01 (assume @p736 (forall @t595 (=> @t407 (and (=> @t531 @t592) (=> @t546 @t594))))) % 1.72/2.01 (assume @p737 (forall @t813 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t11) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t10 @t37) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t37) (=> @t812 (=> @t811 (=> @t810 (tptp.c_Orderings_Oord__class_Oless @t11 @t809 @t37))))))))) % 1.72/2.01 (assume @p738 (forall (@list @t121 @t100 @t282) (= (tptp.hBOOL (tptp.hAPP @t282 (tptp.hAPP @t596 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t121)))) (and (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t121 @t100) (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t753 @t752)))) (=> @t751 @t815))))) % 1.72/2.01 (assume @p739 (forall @t820 (=> @t819 (=> @t818 (=> @t817 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t816 @t457)))))) % 1.72/2.01 (assume @p740 (forall @t820 (=> @t819 (=> @t818 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t449 @t37) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t457 @t816)))))) % 1.72/2.01 (assume @p741 (forall @t833 (=> @t832 (=> @t829 (=> @t827 (=> @t826 (=> @t824 (=> @t823 @t822)))))))) % 1.72/2.01 (assume @p742 (forall @t835 (=> @t834 (= (= (tptp.hAPP (tptp.hAPP @t696 @t24) @t26) (tptp.hAPP (tptp.hAPP @t696 @t23) @t26)) @t241)))) % 1.72/2.01 (assume @p743 (forall @t835 (=> @t834 (= (= (tptp.hAPP @t836 @t24) (tptp.hAPP @t836 @t23)) @t241)))) % 1.72/2.01 (assume @p744 (forall @t52 (= (tptp.hAPP (tptp.hAPP @t673 @t199) @t14) @t199))) % 1.72/2.01 (assume @p745 (forall @t238 (= (tptp.hAPP @t674 @t199) @t199))) % 1.72/2.01 (assume @p746 (forall @t71 (= (= @t838 @t199) (or @t224 @t221)))) % 1.72/2.01 (assume @p747 (forall @t89 (= @t844 @t840))) % 1.72/2.01 (assume @p748 (forall @t141 (= (= @t847 @t846) @t840))) % 1.72/2.01 (assume @p749 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t673 @t16) @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t850 @t849)))) % 1.72/2.01 (assume @p750 (forall @t338 (= (tptp.hAPP @t851 @t16) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t853 @t852)))) % 1.72/2.01 (assume @p751 (forall @t647 (= (tptp.hAPP (tptp.hAPP @t696 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t485 @t484)) @t168) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t855 @t168) (tptp.hAPP @t854 @t168))))) % 1.72/2.01 (assume @p752 (forall @t20 (= (tptp.hAPP @t146 @t675) (tptp.hAPP (tptp.hAPP @t696 @t154) @t153)))) % 1.72/2.01 (assume @p753 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t696 (tptp.hAPP @t855 @t484)) @t483) (tptp.hAPP @t855 (tptp.hAPP @t854 @t483))))) % 1.72/2.01 (assume @p754 (forall @t172 (= (tptp.hAPP @t856 @t168) (tptp.hAPP (tptp.hAPP @t696 @t168) @t105)))) % 1.72/2.01 (assume @p755 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t673 @t675) @t56) (tptp.hAPP @t674 @t849)))) % 1.72/2.01 (assume @p756 (forall @t20 (= @t675 @t857))) % 1.72/2.01 (assume @p757 (forall @t71 (= (= @t754 @t709) @t140))) % 1.72/2.01 (assume @p758 (forall @t20 (= @t859 @t858))) % 1.72/2.01 (assume @p759 (forall @t20 (= @t858 @t859))) % 1.72/2.01 (assume @p760 (forall @t81 (=> @t59 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t862 (tptp.hAPP @t860 @t77)))))) % 1.72/2.01 (assume @p761 (forall @t60 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t864 @t863)))) % 1.72/2.01 (assume @p762 (forall @t60 (=> @t59 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t862 @t865)))) % 1.72/2.01 (assume @p763 (forall @t238 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 (tptp.hAPP @t674 @t866)))) % 1.72/2.01 (assume @p764 (forall @t238 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t866))) % 1.72/2.01 (assume @p765 (forall @t89 (= (= @t869 @t868) @t140))) % 1.72/2.01 (assume @p766 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t673 @t217) @t56) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t850 @t849)))) % 1.72/2.01 (assume @p767 (forall @t338 (= (tptp.hAPP @t851 @t217) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t853 @t852)))) % 1.72/2.01 (assume @p768 (forall @t348 (= (= @t753 @t752) @t122))) % 1.72/2.01 (assume @p769 (forall @t137 (= (tptp.hAPP (tptp.hAPP @t587 @t770) @t769) (tptp.hAPP @t596 (tptp.hAPP (tptp.hAPP @t673 @t10) @t95))))) % 1.72/2.01 (assume @p770 (forall @t459 (= (tptp.hAPP (tptp.hAPP @t696 @t189) @t105) @t105))) % 1.72/2.01 (assume @p771 (forall @t52 (= (tptp.hAPP (tptp.hAPP @t673 @t212) @t14) @t14))) % 1.72/2.01 (assume @p772 (forall @t71 (= (= @t212 @t838) @t870))) % 1.72/2.01 (assume @p773 (forall @t52 (= (tptp.hAPP @t848 @t212) @t14))) % 1.72/2.01 (assume @p774 (forall @t71 (= (= @t838 @t212) @t870))) % 1.72/2.01 (assume @p775 (forall @t871 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t388 @t35) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t490) (tptp.c_RComplete_Onatfloor @t35)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t696 @t37) @t35))))))) % 1.72/2.01 (assume @p776 (forall @t71 (= (= @t838 @t200) (and @t379 @t378)))) % 1.72/2.01 (assume @p777 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t838) (and @t318 @t219)))) % 1.72/2.01 (assume @p778 (forall @t89 (= @t874 @t873))) % 1.72/2.01 (assume @p779 (forall @t141 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t847 @t846) @t873))) % 1.72/2.01 (assume @p780 (forall @t60 (=> @t345 (=> @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t862 @t865))))) % 1.72/2.01 (assume @p781 (forall @t60 (=> @t345 (=> @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t864 @t863))))) % 1.72/2.01 (assume @p782 (forall (@list @t95 @t10 @t105) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t105) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t95) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t856 @t10) (tptp.hAPP @t856 @t95)))))) % 1.72/2.01 (assume @p783 (forall @t137 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t10) (=> @t875 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 (tptp.hAPP (tptp.hAPP @t696 @t10) @t95)))))) % 1.72/2.01 (assume @p784 (forall @t881 (=> @t880 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t879 @t877) @t347)))) % 1.72/2.01 (assume @p785 (forall @t89 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t869 @t868) @t227))) % 1.72/2.01 (assume @p786 (forall @t20 (= (tptp.hAPP @t674 @t18) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t15 @t675)))) % 1.72/2.01 (assume @p787 (forall @t20 (= (tptp.hAPP (tptp.hAPP @t673 @t21) @t14) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t675)))) % 1.72/2.01 (assume @p788 (forall @t89 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t869 @t868) @t70))) % 1.72/2.01 (assume @p789 (forall @t20 (=> (= @t15 @t675) (or (= @t14 @t212) @t320)))) % 1.72/2.01 (assume @p790 (forall @t348 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t883 (tptp.hAPP @t876 @t121)) @t388) (and @t882 (= @t121 @t388))))) % 1.72/2.01 (assume @p791 (forall @t871 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t37 @t35)) (tptp.hAPP (tptp.hAPP @t884 (tptp.c_Complex_Oexpi @t37)) (tptp.c_Complex_Oexpi @t35))))) % 1.72/2.01 (assume @p792 (forall @t94 (=> @t886 (=> @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t675))))) % 1.72/2.01 (assume @p793 (forall @t94 (=> @t886 (=> @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t857))))) % 1.72/2.01 (assume @p794 (forall @t94 (=> @t886 (=> @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t675))))) % 1.72/2.01 (assume @p795 (forall @t881 (=> @t880 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t887 @t100) (tptp.hAPP @t887 @t121)) @t346)))) % 1.72/2.01 (assume @p796 (forall @t881 (=> @t880 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t879 @t877) @t346)))) % 1.72/2.01 (assume @p797 (forall @t71 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t838) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t63) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t64))))) % 1.72/2.01 (assume @p798 (forall @t141 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t847 @t846) @t888))) % 1.72/2.01 (assume @p799 (forall @t89 (= @t889 @t888))) % 1.72/2.01 (assume @p800 (forall (@list @t95 @t10 @t34) (=> @t891 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t443 (tptp.hAPP @t890 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t95))) (= @t10 @t388))))) % 1.72/2.01 (assume @p801 (forall (@list @t95 @t10 @t34 @t11) (=> @t507 (=> @t891 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t513 (tptp.hAPP @t890 @t517)) (= @t10 @t233)))))) % 1.72/2.01 (assume @p802 (forall @t20 (and (=> @t320 (= @t675 @t199)) (=> @t321 (= @t675 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 (tptp.hAPP (tptp.hAPP @t673 @t213) @t14))))))) % 1.72/2.01 (assume @p803 (forall @t584 (and (=> @t571 (= @t894 @t199)) (=> @t572 (= @t894 @t892))))) % 1.72/2.01 (assume @p804 (forall @t547 (and (=> @t571 (= @t895 @t199)) (=> @t572 (= @t895 (tptp.hAPP (tptp.hAPP @t673 @t892) @t56)))))) % 1.72/2.01 (assume @p805 (forall @t898 (=> @t897 (=> @t896 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t821)))))) % 1.72/2.01 (assume @p806 (forall @t898 (=> @t829 (=> @t826 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t456)))))) % 1.72/2.01 (assume @p807 (forall @t900 (=> @t899 (=> @t826 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t35) (=> @t827 @t822)))))) % 1.72/2.01 (assume @p808 (forall @t833 (=> @t832 (=> @t897 (=> @t896 (=> @t817 (=> @t824 (=> @t823 @t901)))))))) % 1.72/2.01 (assume @p809 (forall @t900 (=> @t899 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t449 @t456) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t449) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t825) @t901)))))) % 1.72/2.01 (assume @p810 (forall @t907 (=> @t368 (= @t906 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t903))))) % 1.72/2.01 (assume @p811 (forall @t910 (=> @t909 (= @t906 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t908 @t64))))) % 1.72/2.01 (assume @p812 (forall @t89 (= @t844 (or @t839 @t140)))) % 1.72/2.01 (assume @p813 (forall (@list @t56 @t58 @t808 @t57) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t912 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t911 @t56)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t350) @t808) @t56)))) % 1.72/2.01 (assume @p814 (forall @t89 (=> @t872 (= @t874 @t227)))) % 1.72/2.01 (assume @p815 (forall @t89 (=> @t872 (= @t844 @t140)))) % 1.72/2.01 (assume @p816 (forall @t89 (=> @t872 (= @t889 @t70)))) % 1.72/2.01 (assume @p817 (forall @t907 (=> @t368 (= @t913 (= @t63 @t903))))) % 1.72/2.01 (assume @p818 (forall (@list @t14 @t15 @t808 @t58 @t57) (=> @t59 (= @t914 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t58 @t57)) @t808) @t14)))))) % 1.72/2.01 (assume @p819 (forall @t907 (=> @t368 (= @t915 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t903))))) % 1.72/2.01 (assume @p820 (forall @t910 (=> @t909 (= @t913 (= @t908 @t64))))) % 1.72/2.01 (assume @p821 (forall (@list @t14 @t15 @t808 @t57 @t58) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t57) (= @t914 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t673 @t248) @t808) @t15) @t14))))) % 1.72/2.01 (assume @p822 (forall @t910 (=> @t909 (= @t915 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t908 @t64))))) % 1.72/2.01 (assume @p823 (forall @t444 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t883)) @t882))) % 1.72/2.01 (assume @p824 (forall @t606 (=> @t602 (exists @t497 (and @t496 @t917))))) % 1.72/2.01 (assume @p825 (forall @t383 (=> @t602 (exists @t497 (and @t496 @t920))))) % 1.72/2.01 (assume @p826 (forall @t13 (=> @t602 (exists @t497 (and @t496 @t921))))) % 1.72/2.01 (assume @p827 (forall @t926 (=> @t925 (=> (forall @t6 (=> @t746 (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t278))))) (=> @t924 (forall @t6 (=> @t746 (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t923)))))))))) % 1.72/2.01 (assume @p828 (forall @t926 (=> @t925 (=> (forall @t6 (=> @t746 (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t278))))) (=> @t924 (forall @t6 (=> @t746 (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t923)))))))))) % 1.72/2.01 (assume @p829 (forall @t510 (=> @t789 (exists @t160 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t158) (= @t56 @t768)))))) % 1.72/2.01 (assume @p830 (forall @t383 (=> @t602 (exists @t497 (and @t927 @t920))))) % 1.72/2.01 (assume @p831 (forall @t606 (=> @t602 (exists @t497 (and @t927 @t917))))) % 1.72/2.01 (assume @p832 (forall @t13 (=> @t602 (exists @t497 (and @t927 @t921))))) % 1.72/2.01 (assume @p833 (forall @t502 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t929 @t10) @t189) (tptp.hAPP (tptp.hAPP @t928 @t447) @t14))))) % 1.72/2.01 (assume @p834 (forall @t934 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t696 @t191) @t37)) (tptp.hAPP @t933 @t931)))) % 1.72/2.01 (assume @p835 (forall @t13 (=> @t192 (= (tptp.hAPP @t936 @t199) @t196)))) % 1.72/2.01 (assume @p836 (forall @t940 (=> @t699 (= @t939 @t937)))) % 1.72/2.01 (assume @p837 (forall @t940 (=> @t514 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t939 @t937)))) % 1.72/2.01 (assume @p838 (forall @t13 (=> @t192 (= (tptp.hAPP @t936 @t212) @t10)))) % 1.72/2.01 (assume @p839 (forall @t944 (=> @t192 (= (tptp.hAPP (tptp.hAPP @t600 @t943) @t942) (tptp.hAPP @t936 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t941 @t816)))))) % 1.72/2.01 (assume @p840 (forall @t947 (=> @t192 (= (tptp.hAPP @t946 @t10) @t945)))) % 1.72/2.01 (assume @p841 (forall @t947 (=> @t192 (= @t948 @t945)))) % 1.72/2.01 (assume @p842 (forall @t947 (=> @t192 (= @t945 @t948)))) % 1.72/2.01 (assume @p843 (forall @t944 (=> @t192 (= (tptp.hAPP (tptp.hAPP @t935 @t943) @t816) (tptp.hAPP @t936 (tptp.hAPP @t949 @t816)))))) % 1.72/2.01 (assume @p844 (forall (@list @t816 @t95 @t10 @t11) (=> @t192 (= (tptp.hAPP (tptp.hAPP @t935 @t663) @t816) (tptp.hAPP @t946 (tptp.hAPP @t950 @t816)))))) % 1.72/2.01 (assume @p845 (forall (@list @t402 @t24 @t11) (=> @t955 (= (= (tptp.hAPP @t953 @t951) @t233) (and @t356 (not @t952)))))) % 1.72/2.01 (assume @p846 (forall @t871 (= (tptp.hAPP @t933 (tptp.c_Complex_Ocis @t35)) (tptp.c_Complex_Ocis @t956)))) % 1.72/2.01 (assume @p847 (= (tptp.c_Complex_Ocis @t388) @t559)) % 1.72/2.01 (assume @p848 (forall (@list @t14 @t449 @t11) (=> @t382 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t449) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t449 @t196) (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP (tptp.hAPP @t935 @t449) @t18) @t449)))))) % 1.72/2.01 (assume @p849 (forall @t515 (=> @t961 (and (=> @t960 (= @t959 @t196)) (=> (not @t960) (= @t959 @t233)))))) % 1.72/2.01 (assume @p850 (forall @t99 (=> (tptp.class_Rings_Ocomm__ring__1 @t11) (= (tptp.c_Groups_Ominus__class_Ominus @t11 (tptp.hAPP @t936 @t384) (tptp.hAPP @t950 @t384)) (tptp.hAPP @t701 @t518))))) % 1.72/2.01 (assume @p851 (forall (@list @t10 @t14 @t11) (=> @t703 (=> @t216 (= (tptp.hAPP (tptp.hAPP @t600 (tptp.hAPP @t936 @t214)) @t10) @t938))))) % 1.72/2.01 (assume @p852 (forall @t791 (=> @t954 (and (=> @t257 (= @t963 @t196)) (=> @t258 (= @t963 (tptp.hAPP @t756 (tptp.hAPP @t962 @t214)))))))) % 1.72/2.01 (assume @p853 (forall @t969 (=> @t382 (=> @t265 (=> @t323 (=> @t216 @t968)))))) % 1.72/2.01 (assume @p854 (forall @t20 (= @t974 @t972))) % 1.72/2.01 (assume @p855 (forall @t20 (= @t972 @t974))) % 1.72/2.01 (assume @p856 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t973 @t770) @t14) (tptp.hAPP @t596 (tptp.hAPP (tptp.hAPP @t970 @t10) @t14))))) % 1.72/2.01 (assume @p857 (forall @t339 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t57) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t976)))) % 1.72/2.01 (assume @p858 (forall @t980 (= @t979 (or @t221 @t977)))) % 1.72/2.01 (assume @p859 (forall @t502 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.hAPP @t981 @t14))))) % 1.72/2.01 (assume @p860 (forall @t980 (= @t979 (or @t977 @t221)))) % 1.72/2.01 (assume @p861 (forall (@list @t14 @t15 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t975 @t15) @t976) @t211)))) % 1.72/2.01 (assume @p862 (forall @t52 (= (tptp.hAPP (tptp.hAPP @t970 @t200) @t14) @t200))) % 1.72/2.01 (assume @p863 (forall (@list @t63 @t100) (= (= (tptp.hAPP @t978 @t63) @t200) (or @t224 (= @t100 @t200))))) % 1.72/2.01 (assume @p864 (forall @t20 (= @t983 @t982))) % 1.72/2.01 (assume @p865 (forall @t20 (= @t982 @t983))) % 1.72/2.01 (assume @p866 (forall @t145 (= (tptp.hAPP @t981 @t144) (tptp.hAPP (tptp.hAPP @t587 @t984) (tptp.hAPP @t981 @t105))))) % 1.72/2.01 (assume @p867 (forall @t145 (= (tptp.hAPP (tptp.hAPP @t973 @t984) @t105) (tptp.hAPP @t981 (tptp.hAPP (tptp.hAPP @t673 @t95) @t105))))) % 1.72/2.01 (assume @p868 (forall (@list @t402 @t100) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 (tptp.hAPP @t978 @t951)) (or @t952 @t977)))) % 1.72/2.01 (assume @p869 (forall @t502 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.hAPP (tptp.hAPP @t973 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t10)) @t14)))) % 1.72/2.01 (assume @p870 (forall @t502 (=> (= @t10 @t489) (= (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t928 @t10) @t14)) (tptp.hAPP (tptp.hAPP @t970 @t452) @t14))))) % 1.72/2.01 (assume @p871 (forall (@list @t14 @t37) (= (tptp.hAPP (tptp.hAPP @t985 @t932) @t14) @t931))) % 1.72/2.01 (assume @p872 (forall (@list @t941 @t15) (and (=> @t320 (= @t987 @t212)) (=> @t321 (= @t987 (tptp.hAPP @t949 (tptp.hAPP @t986 @t213))))))) % 1.72/2.01 (assume @p873 (forall @t980 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 (tptp.hAPP (tptp.hAPP @t973 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t100)) @t64)) (or (not (= @t100 @t456)) @t221)))) % 1.72/2.01 (assume @p874 (forall @t988 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t11) (=> @t616 (not (= @t967 @t233)))))) % 1.72/2.01 (assume @p875 (forall @t988 (=> @t703 (= @t991 @t989)))) % 1.72/2.01 (assume @p876 (forall @t969 (=> @t704 (= (tptp.hAPP (tptp.hAPP @t935 @t611) @t14) (tptp.hAPP @t990 @t965))))) % 1.72/2.01 (assume @p877 (forall @t626 (=> @t703 (= (tptp.hAPP (tptp.hAPP @t935 @t196) @t14) @t196)))) % 1.72/2.01 (assume @p878 (forall @t988 (=> @t387 (= (tptp.c_Groups_Oabs__class_Oabs @t11 @t967) @t992)))) % 1.72/2.01 (assume @p879 (forall @t676 (=> @t203 (= (tptp.hAPP @t590 @t971) (tptp.hAPP (tptp.hAPP @t935 @t672) @t14))))) % 1.72/2.01 (assume @p880 (forall @t994 (=> @t703 (= (tptp.hAPP @t966 @t675) (tptp.hAPP (tptp.hAPP @t935 @t993) @t14))))) % 1.72/2.01 (assume @p881 (forall @t237 (=> @t703 (= (tptp.hAPP @t966 @t212) @t37)))) % 1.72/2.01 (assume @p882 (forall @t988 (=> @t382 (=> @t323 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t967))))) % 1.72/2.01 (assume @p883 (forall @t969 (=> @t382 (=> @t40 (=> @t323 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t967 @t965)))))) % 1.72/2.01 (assume @p884 (forall @t988 (=> @t382 (=> @t303 (tptp.c_Orderings_Oord__class_Oless @t11 @t233 @t967))))) % 1.72/2.01 (assume @p885 (forall @t988 (=> @t382 (=> @t995 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t196 @t967))))) % 1.72/2.01 (assume @p886 (forall (@list @t64 @t63 @t24 @t11) (=> @t382 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t24) (= (= (tptp.hAPP @t953 @t63) @t996) @t140))))) % 1.72/2.01 (assume @p887 (forall (@list @t64 @t24 @t11) (=> @t955 (= (= @t996 @t233) (and @t356 @t226))))) % 1.72/2.01 (assume @p888 (forall @t626 (=> @t961 (= (tptp.hAPP @t958 @t18) @t233)))) % 1.72/2.01 (assume @p889 (forall @t988 (=> @t954 (= @t997 @t989)))) % 1.72/2.01 (assume @p890 (forall @t988 (=> @t703 (= @t997 @t991)))) % 1.72/2.01 (assume @p891 (forall @t237 (=> @t954 (= (tptp.hAPP @t966 @t199) @t196)))) % 1.72/2.01 (assume @p892 (forall @t994 (=> @t703 (= (tptp.hAPP @t966 @t16) (tptp.hAPP (tptp.hAPP @t600 @t993) @t967))))) % 1.72/2.01 (assume @p893 (forall @t998 (=> @t382 (=> @t968 (=> @t322 @t265))))) % 1.72/2.01 (assume @p894 (forall @t998 (=> @t382 (=> (= @t997 @t999) (=> @t323 (=> @t322 @t119)))))) % 1.72/2.01 (assume @p895 (forall @t998 (=> @t382 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t997 @t999) (=> @t322 @t40))))) % 1.72/2.01 (assume @p896 (forall @t988 (=> @t382 (=> @t1000 (tptp.c_Orderings_Oord__class_Oless @t11 @t967 @t989))))) % 1.72/2.01 (assume @p897 (forall @t988 (=> @t382 (=> @t1000 (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t989))))) % 1.72/2.01 (assume @p898 (forall @t626 (=> @t961 (and (=> @t257 (= @t1001 @t196)) (=> @t258 (= @t1001 @t233)))))) % 1.72/2.01 (assume @p899 (forall @t988 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t233 @t992)))) % 1.72/2.01 (assume @p900 (forall @t988 (=> @t382 (=> @t1000 (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t997))))) % 1.72/2.01 (assume @p901 (forall @t1005 (=> @t382 (=> @t1004 (=> @t1000 (tptp.c_Orderings_Oord__class_Oless @t11 @t967 @t1003)))))) % 1.72/2.01 (assume @p902 (forall @t994 (=> @t382 (=> @t1000 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t993 @t967) @t211))))) % 1.72/2.01 (assume @p903 (forall @t1010 (=> @t382 (=> @t1009 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t1008 @t1007) @t751))))) % 1.72/2.01 (assume @p904 (forall @t1005 (=> @t382 (=> @t1011 (=> @t995 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t967 @t1003)))))) % 1.72/2.01 (assume @p905 (forall @t988 (=> @t382 (=> @t303 (=> @t1012 (tptp.c_Orderings_Oord__class_Oless @t11 @t989 @t967)))))) % 1.72/2.01 (assume @p906 (forall @t988 (=> @t382 (=> @t303 (=> @t1012 (tptp.c_Orderings_Oord__class_Oless @t11 @t997 @t196)))))) % 1.72/2.01 (assume @p907 (forall @t1005 (=> @t382 (=> @t1004 (=> @t303 (=> @t1012 (tptp.c_Orderings_Oord__class_Oless @t11 @t1003 @t967))))))) % 1.72/2.01 (assume @p908 (forall @t998 (=> @t382 (=> (= @t967 @t965) (=> @t323 (=> @t322 (=> @t216 @t119))))))) % 1.72/2.01 (assume @p909 (forall @t1005 (=> @t382 (=> @t1011 (=> @t323 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t37 @t196) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t1003 @t967))))))) % 1.72/2.01 (assume @p910 (forall @t994 (=> @t382 (=> @t1000 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t993 @t967) @t54))))) % 1.72/2.01 (assume @p911 (forall @t1010 (=> @t382 (=> @t1009 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t1008 @t1007) @t755))))) % 1.72/2.01 (assume @p912 (forall @t988 (=> @t382 (=> @t1000 (=> @t216 (tptp.c_Orderings_Oord__class_Oless @t11 @t196 @t967)))))) % 1.72/2.01 (assume @p913 (forall (@list @t95 @t14 @t941 @t11) (=> @t703 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t14) (= (tptp.hAPP @t950 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t18 @t941)) (tptp.hAPP (tptp.hAPP @t600 (tptp.hAPP @t950 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t941))) @t95)))))) % 1.72/2.01 (assume @p914 (forall (@list @t14 @t35) (=> (not (= @t35 @t560)) (=> @t258 (exists (@list @t1013) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t559 (tptp.hAPP (tptp.hAPP @t884 @t35) (tptp.hAPP (tptp.hAPP @t985 @t1013) @t14)))) @t189)))))) % 1.72/2.01 (assume @p915 (forall @t383 (=> @t954 (= @t935 (tptp.c_Power_Opower_Opower @t11 @t196 @t600))))) % 1.72/2.01 (assume @p916 (forall (@list @t24 @t1015 @t1014 @t11) (= (tptp.hAPP @t1016 @t199) @t1014))) % 1.72/2.01 (assume @p917 (forall (@list @t64 @t24 @t1015 @t1014 @t11) (= (tptp.hAPP @t1016 @t67) (tptp.hAPP (tptp.hAPP @t1015 @t24) (tptp.hAPP @t1016 @t64))))) % 1.72/2.01 (assume @p918 (forall @t565 (=> @t875 (=> @t446 (exists @t160 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t696 @t448) @t95) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 (tptp.hAPP (tptp.hAPP @t696 @t455) @t95)))))))) % 1.72/2.01 (assume @p919 (forall (@list @t56 @t15) (=> @t256 (=> @t789 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1017 @t15) @t56) (tptp.hAPP @t1017 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t200))))))) % 1.72/2.01 (assume @p920 (forall @t1022 (=> @t1021 (=> @t1020 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1019 @t1018))))) % 1.72/2.01 (assume @p921 (forall @t1022 (=> @t1021 (=> @t1023 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1018 @t1019))))) % 1.72/2.01 (assume @p922 (forall @t871 (=> @t1025 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t37) @t1024)))) % 1.72/2.01 (assume @p923 (forall @t1028 (=> @t1027 (=> @t824 (=> @t823 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1026 @t1018)))))) % 1.72/2.01 (assume @p924 (forall @t871 (=> @t1025 (=> @t1023 @t1029)))) % 1.72/2.01 (assume @p925 (forall @t1033 (=> @t1032 (= @t1031 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t456))))) % 1.72/2.01 (assume @p926 (forall @t871 (=> @t1034 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t35) @t1024)))) % 1.72/2.01 (assume @p927 (forall @t871 (=> @t1034 (=> @t1020 @t1029)))) % 1.72/2.01 (assume @p928 (forall @t1028 (=> @t1034 (=> @t824 (=> @t823 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1018 @t1026)))))) % 1.72/2.01 (assume @p929 (forall (@list @t23 @t24) (=> @t1036 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t1030) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t23 @t24) @t1035))))) % 1.72/2.01 (assume @p930 (forall (@list @t201 @t86) (=> @t1038 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t1037) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86 @t201))))) % 1.72/2.01 (assume @p931 (forall @t1033 (=> @t1035 (= @t1031 @t1036)))) % 1.72/2.01 (assume @p932 (forall (@list @t86 @t201) (= (= @t1037 @t456) (or @t1039 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t201) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t201 @t86)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t201 @t456) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t201)))))) % 1.72/2.01 (assume @p933 (forall (@list @t56 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t457 @t56) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t10 @t56) @t10))))) % 1.72/2.01 (assume @p934 (forall (@list @t35 @t37 @t34) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t34) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 (tptp.hAPP @t830 @t34)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1018 @t34))))) % 1.72/2.01 (assume @p935 (forall @t116 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t721) @t35) @t1041))))) % 1.72/2.01 (assume @p936 (forall @t116 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t654) @t35) @t1041))))) % 1.72/2.01 (assume @p937 (forall @t267 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t131 @t35) @t1043))))) % 1.72/2.01 (assume @p938 (forall @t267 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t129 @t35) @t1043))))) % 1.72/2.01 (assume @p939 (forall @t51 (=> @t1042 @t1047))) % 1.72/2.01 (assume @p940 (forall @t51 (=> @t1042 (=> @t1046 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t655 @t654) @t1040))))) % 1.72/2.01 (assume @p941 (forall @t267 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t693 @t35) @t37))))) % 1.72/2.01 (assume @p942 (forall @t267 (=> @t1042 (=> @t614 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t611 @t35) @t37))))) % 1.72/2.01 (assume @p943 (forall @t51 (=> @t1042 (and (=> @t1045 (= @t1044 @t233)) @t1047)))) % 1.72/2.01 (assume @p944 (forall @t1048 (=> (not (= @t37 @t456)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 @t37) @t457)))) % 1.72/2.01 (assume @p945 (forall @t237 (=> @t1042 (=> @t616 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t37) @t196))))) % 1.72/2.01 (assume @p946 (forall (@list @t35) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t456 @t35) @t456))) % 1.72/2.01 (assume @p947 (forall @t237 (=> @t1042 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t233 @t37) @t233)))) % 1.72/2.01 (assume @p948 (forall @t237 (=> @t1042 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t233) @t233)))) % 1.72/2.01 (assume @p949 (forall @t137 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t10 @t95)))))) % 1.72/2.01 (assume @p950 (forall @t1033 (=> @t1035 (= @t1049 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t456))))) % 1.72/2.01 (assume @p951 (forall @t1033 (=> @t1032 (= @t1049 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t456 @t24))))) % 1.72/2.01 (assume @p952 (forall @t871 (=> @t1027 (=> @t1023 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1018 @t456))))) % 1.72/2.01 (assume @p953 (forall @t237 (=> @t1042 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t196) @t37)))) % 1.72/2.01 (assume @p954 (forall (@list @t1052 @t95 @t1050 @t1051) (=> (= @t1051 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t587 @t1050) @t95) @t1052)) (=> (and (=> @t1053 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t1052) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1052 @t1050))) (=> (not @t1053) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1050 @t1052) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1052 @t456)))) (=> (not (= @t1050 @t456)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1051 @t1050) @t95)))))) % 1.72/2.01 (assume @p955 (forall @t1055 (= (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t64 @t86))) (and (=> @t1039 @t815) (=> @t1038 (forall @t396 (=> (exists @t223 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t456 @t222) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t222 @t86) @t1054)) @t395))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t456) (forall @t396 (=> (exists @t223 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t222) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t222 @t456) @t1054)) @t395))))))) % 1.72/2.01 (assume @p956 (forall (@list @t14 @t37 @t449) (= (tptp.hAPP (tptp.hAPP @t985 @t1056) @t14) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t928 @t449) @t14) @t930)))) % 1.72/2.01 (assume @p957 (forall @t934 (=> @t216 (=> @t1057 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t3) (= (tptp.hAPP (tptp.hAPP @t928 @t3) @t14) @t37) (forall @t454 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t453) (= (tptp.hAPP (tptp.hAPP @t928 @t453) @t14) @t37)) (= @t453 @t3))))))))) % 1.72/2.01 (assume @p958 (forall @t338 (and (=> @t1061 (= @t1059 @t199)) (=> (not @t1061) @t1060)))) % 1.72/2.01 (assume @p959 (forall @t285 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t37 (tptp.hAPP (tptp.hAPP @t673 @t35) @t34)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1062 @t34)))) % 1.72/2.01 (assume @p960 (forall @t20 @t1063)) % 1.72/2.01 (assume @p961 (forall @t238 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t15 @t200) @t15))) % 1.72/2.01 (assume @p962 (forall @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1058 @t15))) % 1.72/2.01 (assume @p963 (forall @t143 (=> @t54 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t15 @t56) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t14 @t56))))) % 1.72/2.01 (assume @p964 (forall @t137 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t770 @t769) (tptp.hAPP @t596 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t10 @t95))))) % 1.72/2.01 (assume @p965 (forall @t871 (= (tptp.hAPP @t596 @t1062) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t596 @t37) (tptp.hAPP @t596 @t35))))) % 1.72/2.01 (assume @p966 (forall @t94 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t212 @t14) (=> @t256 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1058 @t15))))) % 1.72/2.01 (assume @p967 (forall @t338 (=> @t599 @t1060))) % 1.72/2.01 (assume @p968 (forall @t94 (=> @t216 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t675 @t14) @t15)))) % 1.72/2.01 (assume @p969 (forall @t94 (=> @t216 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t857 @t14) @t15)))) % 1.72/2.01 (assume @p970 (forall @t143 (=> @t256 (=> @t54 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t14) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t15)))))) % 1.72/2.01 (assume @p971 (forall (@list @t37 @t449) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1056) @t511))) % 1.72/2.01 (assume @p972 (forall @t1048 (= (tptp.c_Complex_Orcis @t388 @t37) @t560))) % 1.72/2.01 (assume @p973 (forall @t1048 (= @t932 (tptp.c_Complex_Orcis @t189 @t37)))) % 1.72/2.01 (assume @p974 (forall @t94 (=> @t216 (and @t1063 @t1065)))) % 1.72/2.01 (assume @p975 (forall @t94 (=> @t216 @t1065))) % 1.72/2.01 (assume @p976 (forall @t1055 (= (tptp.hBOOL (tptp.hAPP @t282 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t64 @t86))) (and (=> @t839 @t313) (=> (not @t839) (forall (@list @t394 @t222) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t86) (=> (= @t64 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t841 @t394) @t222)) @t395)))))))) % 1.72/2.01 (assume @p977 (forall (@list @t63 @t1067 @t64) (=> @t219 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t845 @t1067) @t63) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 (tptp.hAPP @t845 (tptp.c_Nat_OSuc @t1067)))) (= @t1067 @t1066))))) % 1.72/2.01 (assume @p978 (forall (@list @t64 @t63 @t282) (= (tptp.hBOOL (tptp.hAPP @t282 @t1066)) (or (and @t221 @t313) (exists (@list @t1068) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t845 @t1068) @t63) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 (tptp.hAPP @t845 (tptp.c_Nat_OSuc @t1068))) (tptp.hBOOL (tptp.hAPP @t282 @t1068)))))))) % 1.72/2.01 (assume @p979 (forall @t94 (=> @t216 (=> @t53 @t1064)))) % 1.72/2.01 (assume @p980 (forall (@list @t35 @t1069 @t37 @t1070) (= (tptp.hAPP (tptp.hAPP @t884 (tptp.c_Complex_Orcis @t1070 @t37)) (tptp.c_Complex_Orcis @t1069 @t35)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t696 @t1070) @t1069) @t956)))) % 1.72/2.01 (assume @p981 (forall @t934 (=> @t216 (=> @t1057 (exists (@list @t1071) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t388 @t1071) (= (tptp.hAPP (tptp.hAPP @t928 @t1071) @t14) @t37))))))) % 1.72/2.01 (assume @p982 (forall @t137 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t189 @t10) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t199 @t95) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t10 (tptp.hAPP @t146 @t95))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t452 @t95)))))) % 1.72/2.01 (assume @p983 (forall @t393 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t146 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t14 @t10)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t153 @t424)))) % 1.72/2.01 (assume @p984 (forall (@list @t14 @t37 @t35 @t11) (=> (tptp.class_Fields_Ofield @t11) (=> @t614 (= (tptp.hAPP (tptp.hAPP @t935 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t37 @t35)) @t14) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t967 @t965)))))) % 1.72/2.01 (assume @p985 (forall @t1075 (=> @t1074 (tptp.class_Rings_Oidom @t1073)))) % 1.72/2.01 (assume @p986 (forall @t1075 (=> @t1076 (tptp.class_Groups_Ocancel__comm__monoid__add @t1073)))) % 1.72/2.01 (assume @p987 (forall @t1075 (=> @t1077 (tptp.class_Rings_Ocomm__semiring__0 @t1073)))) % 1.72/2.01 (assume @p988 (forall @t1075 (=> @t1078 (tptp.class_Rings_Ocomm__ring @t1073)))) % 1.72/2.01 (assume @p989 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p991 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p992 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p993 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p994 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p995 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p996 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p997 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p998 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p999 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1000 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1001 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1002 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1003 (forall @t1081 (=> (tptp.class_Orderings_Opreorder @t1072) (tptp.class_Orderings_Opreorder @t1080)))) % 1.72/2.01 (assume @p1004 (forall @t1081 (=> (tptp.class_Orderings_Oorder @t1072) (tptp.class_Orderings_Oorder @t1080)))) % 1.72/2.01 (assume @p1005 (forall @t1081 (=> (tptp.class_Orderings_Oord @t1072) (tptp.class_Orderings_Oord @t1080)))) % 1.72/2.01 (assume @p1006 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1007 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1008 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1009 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1010 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1012 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1013 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1014 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1015 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1016 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1017 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1018 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1019 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1020 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1021 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1022 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1023 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1024 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1025 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1026 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1027 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1028 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1029 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1030 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1031 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1032 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1033 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1034 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1035 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1036 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1037 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1038 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1039 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1040 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1041 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1042 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1043 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1044 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1045 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1046 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1047 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1048 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1049 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1050 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1051 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1052 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1053 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1054 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1055 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1056 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1057 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1058 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1059 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1060 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1061 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1062 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.72/2.01 (assume @p1063 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1064 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1066 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1067 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1068 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1069 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1070 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1071 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1072 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1073 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1074 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1075 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1076 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1077 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1078 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1079 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1080 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1081 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1082 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1083 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1084 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1085 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1086 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1088 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1089 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1090 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1091 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1092 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1093 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1094 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1095 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1096 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1097 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1098 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1099 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1100 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.72/2.01 (assume @p1101 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.72/2.01 (assume @p1102 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.72/2.01 (assume @p1103 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.72/2.01 (assume @p1104 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1105 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1106 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1107 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1109 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1110 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1111 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1112 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1113 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1114 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1115 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1116 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1117 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1118 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1119 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1120 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1121 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1122 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1123 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1124 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1125 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1126 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1127 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1128 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1129 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1130 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1131 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1132 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1133 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1134 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1135 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1136 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1137 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1138 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1139 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1140 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1141 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1142 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1143 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1144 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1145 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1146 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1147 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1148 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1149 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1150 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1151 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1152 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1153 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1154 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1155 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1156 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1157 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1158 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1159 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1160 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1161 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1162 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1163 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1164 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.72/2.01 (assume @p1165 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1166 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1167 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1168 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1169 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1170 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1171 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1172 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1173 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1174 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1175 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1176 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1177 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1178 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1179 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1180 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1181 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1182 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1183 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1184 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1185 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1186 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1187 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1188 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1189 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1190 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1191 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1192 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1193 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1194 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1195 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1196 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1197 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1198 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1199 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1200 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.72/2.01 (assume @p1201 (forall @t1075 (=> @t1074 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1073)))) % 1.72/2.01 (assume @p1202 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1073)))) % 1.72/2.01 (assume @p1203 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1073)))) % 1.72/2.01 (assume @p1204 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1073)))) % 1.72/2.01 (assume @p1205 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__semiring__1__strict @t1073)))) % 1.72/2.01 (assume @p1206 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__semiring__strict @t1073)))) % 1.72/2.01 (assume @p1207 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__ab__semigroup__add @t1073)))) % 1.72/2.01 (assume @p1208 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__ab__group__add__abs @t1073)))) % 1.72/2.01 (assume @p1209 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__comm__monoid__add @t1073)))) % 1.72/2.01 (assume @p1210 (forall @t1075 (=> @t1082 (tptp.class_Groups_Olinordered__ab__group__add @t1073)))) % 1.72/2.01 (assume @p1211 (forall @t1075 (=> @t1076 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1073)))) % 1.72/2.01 (assume @p1212 (forall @t1075 (=> @t1074 (tptp.class_Rings_Oring__1__no__zero__divisors @t1073)))) % 1.72/2.01 (assume @p1213 (forall @t1075 (=> @t1082 (tptp.class_Rings_Oordered__cancel__semiring @t1073)))) % 1.72/2.01 (assume @p1214 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__ring__strict @t1073)))) % 1.72/2.01 (assume @p1215 (forall @t1075 (=> @t1074 (tptp.class_Rings_Oring__no__zero__divisors @t1073)))) % 1.72/2.01 (assume @p1216 (forall @t1075 (=> @t1082 (tptp.class_Rings_Oordered__comm__semiring @t1073)))) % 1.72/2.01 (assume @p1217 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__semiring__1 @t1073)))) % 1.72/2.01 (assume @p1218 (forall @t1075 (=> @t1082 (tptp.class_Groups_Oordered__ab__group__add @t1073)))) % 1.72/2.01 (assume @p1219 (forall @t1075 (=> @t1076 (tptp.class_Groups_Ocancel__semigroup__add @t1073)))) % 1.72/2.01 (assume @p1220 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__semiring @t1073)))) % 1.72/2.01 (assume @p1221 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__semidom @t1073)))) % 1.72/2.02 (assume @p1222 (forall @t1075 (=> @t1077 (tptp.class_Groups_Oab__semigroup__mult @t1073)))) % 1.72/2.02 (assume @p1223 (forall @t1075 (=> @t1083 (tptp.class_Groups_Ocomm__monoid__mult @t1073)))) % 1.72/2.02 (assume @p1224 (forall @t1075 (=> @t1084 (tptp.class_Groups_Oab__semigroup__add @t1073)))) % 1.72/2.02 (assume @p1225 (forall @t1075 (=> @t1082 (tptp.class_Rings_Oordered__semiring @t1073)))) % 1.72/2.02 (assume @p1226 (forall @t1075 (=> @t1082 (tptp.class_Rings_Oordered__ring__abs @t1073)))) % 1.72/2.02 (assume @p1227 (forall @t1075 (=> @t1074 (tptp.class_Rings_Ono__zero__divisors @t1073)))) % 1.72/2.02 (assume @p1228 (forall @t1075 (=> @t1084 (tptp.class_Groups_Ocomm__monoid__add @t1073)))) % 1.72/2.02 (assume @p1229 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__ring @t1073)))) % 1.72/2.02 (assume @p1230 (forall @t1075 (=> @t1082 (tptp.class_Rings_Olinordered__idom @t1073)))) % 1.72/2.02 (assume @p1231 (forall @t1075 (=> @t1083 (tptp.class_Rings_Ocomm__semiring__1 @t1073)))) % 1.72/2.02 (assume @p1232 (forall @t1075 (=> (tptp.class_Fields_Ofield @t1072) (tptp.class_Divides_Osemiring__div @t1073)))) % 1.72/2.02 (assume @p1233 (forall @t1075 (=> @t1077 (tptp.class_Rings_Ocomm__semiring @t1073)))) % 1.72/2.02 (assume @p1234 (forall @t1075 (=> @t1082 (tptp.class_Nat_Osemiring__char__0 @t1073)))) % 1.72/2.02 (assume @p1235 (forall @t1075 (=> @t1085 (tptp.class_Groups_Oab__group__add @t1073)))) % 1.72/2.02 (assume @p1236 (forall @t1075 (=> @t1083 (tptp.class_Rings_Ozero__neq__one @t1073)))) % 1.72/2.02 (assume @p1237 (forall @t1075 (=> @t1082 (tptp.class_Rings_Oordered__ring @t1073)))) % 1.72/2.02 (assume @p1238 (forall @t1075 (=> @t1082 (tptp.class_Orderings_Opreorder @t1073)))) % 1.72/2.02 (assume @p1239 (forall @t1075 (=> @t1082 (tptp.class_Orderings_Olinorder @t1073)))) % 1.72/2.02 (assume @p1240 (forall @t1075 (=> @t1083 (tptp.class_Groups_Omonoid__mult @t1073)))) % 1.72/2.02 (assume @p1241 (forall @t1075 (=> @t1086 (tptp.class_Rings_Ocomm__ring__1 @t1073)))) % 1.72/2.02 (assume @p1242 (forall @t1075 (=> @t1084 (tptp.class_Groups_Omonoid__add @t1073)))) % 1.72/2.02 (assume @p1243 (forall @t1075 (=> @t1083 (tptp.class_Rings_Osemiring__1 @t1073)))) % 1.72/2.02 (assume @p1244 (forall @t1075 (=> @t1077 (tptp.class_Rings_Osemiring__0 @t1073)))) % 1.72/2.02 (assume @p1245 (forall @t1075 (=> @t1085 (tptp.class_Groups_Ogroup__add @t1073)))) % 1.72/2.02 (assume @p1246 (forall @t1075 (=> @t1077 (tptp.class_Rings_Omult__zero @t1073)))) % 1.72/2.02 (assume @p1247 (forall @t1075 (=> @t1082 (tptp.class_Orderings_Oorder @t1073)))) % 1.72/2.02 (assume @p1248 (forall @t1075 (=> @t1082 (tptp.class_Int_Oring__char__0 @t1073)))) % 1.72/2.02 (assume @p1249 (forall @t1075 (=> @t1086 (tptp.class_Int_Onumber__ring @t1073)))) % 1.72/2.02 (assume @p1250 (forall @t1075 (=> @t1077 (tptp.class_Rings_Osemiring @t1073)))) % 1.72/2.02 (assume @p1251 (forall @t1075 (=> @t1082 (tptp.class_Orderings_Oord @t1073)))) % 1.72/2.02 (assume @p1252 (forall @t1075 (=> @t1086 (tptp.class_Rings_Oring__1 @t1073)))) % 1.72/2.02 (assume @p1253 (forall @t1075 (=> @t1083 (tptp.class_Power_Opower @t1073)))) % 1.72/2.02 (assume @p1254 (forall @t1075 (=> (tptp.class_Groups_Ozero @t1072) (tptp.class_Groups_Ozero @t1073)))) % 1.72/2.02 (assume @p1255 (forall @t1075 (=> @t1078 (tptp.class_Rings_Oring @t1073)))) % 1.72/2.02 (assume @p1256 (forall @t1075 (=> @t1086 (tptp.class_Int_Onumber @t1073)))) % 1.72/2.02 (assume @p1257 (forall @t1075 (=> @t1083 (tptp.class_Groups_Oone @t1073)))) % 1.72/2.02 (assume @p1258 (not @t1089)) % 1.72/2.02 (assume @p1259 true) % 1.72/2.02 (step @p1260 :rule eq-symm :args (@t149 @t65)) % 1.72/2.02 (step @p1261 :rule cong :premises (@p1260) :args (@t150)) % 1.72/2.02 (step @p1262 :rule eq_resolve :premises (@p68 @p1261)) % 1.72/2.02 (step @p1263 :rule eq-symm :args (@t1090 @t1089)) % 1.72/2.02 (step @p1264 :rule refl :args (@t1091)) % 1.72/2.02 (step @p1265 :rule cong :premises (@p1264 @p1263) :args ((=> @t1091 @t1092))) % 1.72/2.02 (assume-push @p1289 @t1091) % 1.72/2.02 (step @p1267 :rule instantiate :premises (@p1262) :args ((@list @t1087 @t1088))) % 1.72/2.02 (step-pop @p1290 :rule scope :premises (@p1267)) % 1.72/2.02 (step @p1268 :rule process_scope :premises (@p1290) :args (@t1092)) % 1.72/2.02 (step @p1270 :rule eq_resolve :premises (@p1268 @p1265)) % 1.72/2.02 (step @p1271 :rule implies_elim :premises (@p1270)) % 1.72/2.02 (step @p1272 :rule chain_m_resolution :premises (@p1271 @p1262) :args (@t1093 (@list false) (@list @t1091))) % 1.72/2.02 (step @p1273 :rule cnf_equiv_pos2 :args (@t1093)) % 1.72/2.02 (step @p1274 :rule reordering :premises (@p1273) :args ((or @t1089 @t1094 (not @t1093)))) % 1.72/2.02 (step @p1275 :rule chain_m_resolution :premises (@p1274 @p1258 @p1272) :args (@t1094 @t1095 (@list @t1089 @t1093))) % 1.72/2.02 (step @p1276 :rule cnf_equiv_pos1 :args (@t1096)) % 1.72/2.02 (step @p1277 :rule reordering :premises (@p1276) :args ((or (not @t9) @t1090 @t1097))) % 1.72/2.02 (step @p1278 :rule chain_m_resolution :premises (@p1277 @p3 @p1275) :args (@t1097 (@list false true) (@list @t9 @t1090))) % 1.72/2.02 (step @p1279 :rule eq-symm :args (@t1090 @t9)) % 1.72/2.02 (step @p1280 :rule refl :args (@t69)) % 1.72/2.02 (step @p1281 :rule cong :premises (@p1280 @p1279) :args ((=> @t69 @t1098))) % 1.72/2.02 (assume-push @p1291 @t69) % 1.72/2.02 (step @p1283 :rule instantiate :premises (@p23) :args ((@list @t8 @t7))) % 1.72/2.02 (step-pop @p1292 :rule scope :premises (@p1283)) % 1.72/2.02 (step @p1284 :rule process_scope :premises (@p1292) :args (@t1098)) % 1.72/2.02 (step @p1286 :rule eq_resolve :premises (@p1284 @p1281)) % 1.72/2.02 (step @p1287 :rule implies_elim :premises (@p1286)) % 1.72/2.02 (step @p1288 false :rule chain_m_resolution :premises (@p1287 @p1278 @p23) :args (false @t1095 (@list @t1096 @t69))) % 1.72/2.02 ) % 1.72/2.02 % SZS output end Proof % 1.72/2.02 % cvc5 exiting %------------------------------------------------------------------------------