%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW222+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 : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:32 AM UTC 2026 % Result : Theorem 1.14s 1.35s % Output : Proof 1.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW222+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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:40:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.14/1.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.14/1.35 % SZS status Theorem % 1.14/1.35 % SZS output start Proof % 1.14/1.35 ( % 1.14/1.35 (declare-sort $$unsorted 0) % 1.14/1.35 (declare-const tptp.c_Transcendental_Ocos (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.v_w____ $$unsorted) % 1.14/1.35 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_r $$unsorted) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.14/1.35 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Int_OPls $$unsorted) % 1.14/1.35 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_Transcendental_Otan (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_p $$unsorted) % 1.14/1.35 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.14/1.35 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_f____ $$unsorted) % 1.14/1.35 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_d____ $$unsorted) % 1.14/1.35 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_z____ $$unsorted) % 1.14/1.35 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Transcendental_Opi $$unsorted) % 1.14/1.35 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.14/1.35 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_s____ $$unsorted) % 1.14/1.35 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_wa____ $$unsorted) % 1.14/1.35 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.35 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.14/1.35 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.35 (define @t1 () (@var "V_ga_2" $$unsorted)) % 1.14/1.35 (define @t2 () (@var "V_fa_2" $$unsorted)) % 1.14/1.35 (define @t3 () (@var "B_x" $$unsorted)) % 1.14/1.35 (define @t4 () (@list @t3)) % 1.14/1.35 (define @t5 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_wa____ tptp.v_z____)) % 1.14/1.35 (define @t6 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t5)) % 1.14/1.35 (define @t7 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t6 tptp.v_d____)) % 1.14/1.35 (define @t8 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal tptp.v_s____)) % 1.14/1.35 (define @t9 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.14/1.35 (define @t10 () (tptp.hAPP @t9 tptp.v_z____)) % 1.14/1.35 (define @t11 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10) @t8))) % 1.14/1.35 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.14/1.35 (define @t13 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 1.14/1.35 (define @t14 () (tptp.c_Int_OBit0 @t13)) % 1.14/1.35 (define @t15 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t14)) % 1.14/1.35 (define @t16 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t11 @t15)) % 1.14/1.35 (define @t17 () (tptp.hAPP @t9 tptp.v_wa____)) % 1.14/1.35 (define @t18 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t17 @t10)) % 1.14/1.35 (define @t19 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t18)) % 1.14/1.35 (define @t20 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t19 @t16)) % 1.14/1.35 (define @t21 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t6)) % 1.14/1.35 (define @t22 () (and @t21 @t7)) % 1.14/1.35 (define @t23 () (@var "B_w" $$unsorted)) % 1.14/1.35 (define @t24 () (tptp.hAPP @t9 @t23)) % 1.14/1.35 (define @t25 () (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 @t24 @t10)) @t16)) % 1.14/1.35 (define @t26 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t23 tptp.v_z____))) % 1.14/1.35 (define @t27 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t26)) % 1.14/1.35 (define @t28 () (@list @t23)) % 1.14/1.35 (define @t29 () (@var "B_d" $$unsorted)) % 1.14/1.35 (define @t30 () (forall @t28 (=> (and @t27 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t29)) @t25))) % 1.14/1.35 (define @t31 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t29)) % 1.14/1.35 (define @t32 () (@list @t29)) % 1.14/1.35 (define @t33 () (@var "V_w" $$unsorted)) % 1.14/1.35 (define @t34 () (@var "T_a" $$unsorted)) % 1.14/1.35 (define @t35 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t33)) % 1.14/1.35 (define @t36 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t34)) % 1.14/1.35 (define @t37 () (tptp.class_Int_Onumber__ring @t34)) % 1.14/1.35 (define @t38 () (@list @t33 @t34)) % 1.14/1.35 (define @t39 () (@var "V_a" $$unsorted)) % 1.14/1.35 (define @t40 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t13)) % 1.14/1.35 (define @t41 () (tptp.class_Fields_Ofield @t34)) % 1.14/1.35 (define @t42 () (and @t41 @t37)) % 1.14/1.35 (define @t43 () (@list @t39 @t34)) % 1.14/1.35 (define @t44 () (@var "V_x" $$unsorted)) % 1.14/1.35 (define @t45 () (@list @t44 @t34)) % 1.14/1.35 (define @t46 () (@var "V_b" $$unsorted)) % 1.14/1.35 (define @t47 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t46)) % 1.14/1.35 (define @t48 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t39)) % 1.14/1.35 (define @t49 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t46)) % 1.14/1.35 (define @t50 () (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t49) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t48 @t47))) % 1.14/1.35 (define @t51 () (tptp.class_RealVector_Oreal__normed__field @t34)) % 1.14/1.35 (define @t52 () (tptp.class_Fields_Ofield__inverse__zero @t34)) % 1.14/1.35 (define @t53 () (@list @t46 @t39 @t34)) % 1.14/1.35 (define @t54 () (@var "V_b_2" $$unsorted)) % 1.14/1.35 (define @t55 () (@var "V_a_2" $$unsorted)) % 1.14/1.35 (define @t56 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t55)) % 1.14/1.35 (define @t57 () (tptp.c_Orderings_Oord__class_Oless @t34 @t56 @t54)) % 1.14/1.35 (define @t58 () (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t54)) % 1.14/1.35 (define @t59 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t55)) % 1.14/1.35 (define @t60 () (tptp.class_Rings_Olinordered__idom @t34)) % 1.14/1.35 (define @t61 () (@list @t54 @t55 @t34)) % 1.14/1.35 (define @t62 () (tptp.class_RealVector_Oreal__normed__vector @t34)) % 1.14/1.35 (define @t63 () (@var "V_p" $$unsorted)) % 1.14/1.35 (define @t64 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t63) @t44)) % 1.14/1.35 (define @t65 () (tptp.tc_Polynomial_Opoly @t34)) % 1.14/1.35 (define @t66 () (tptp.class_Rings_Ocomm__ring @t34)) % 1.14/1.35 (define @t67 () (@var "V_q" $$unsorted)) % 1.14/1.35 (define @t68 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t67) @t44)) % 1.14/1.35 (define @t69 () (@list @t44 @t67 @t63 @t34)) % 1.14/1.35 (define @t70 () (tptp.c_Groups_Ozero__class_Ozero @t34)) % 1.14/1.35 (define @t71 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t70)) % 1.14/1.35 (define @t72 () (=> @t62 (= @t71 @t12))) % 1.14/1.35 (define @t73 () (@list @t34)) % 1.14/1.35 (define @t74 () (forall @t73 @t72)) % 1.14/1.35 (define @t75 () (tptp.c_Groups_Ozero__class_Ozero @t65)) % 1.14/1.35 (define @t76 () (tptp.c_Polynomial_Opoly @t34 @t75)) % 1.14/1.35 (define @t77 () (tptp.class_Rings_Ocomm__semiring__0 @t34)) % 1.14/1.35 (define @t78 () (@var "V_x_2" $$unsorted)) % 1.14/1.35 (define @t79 () (= @t78 @t70)) % 1.14/1.35 (define @t80 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t78)) % 1.14/1.35 (define @t81 () (@list @t78 @t34)) % 1.14/1.35 (define @t82 () (@var "V_k" $$unsorted)) % 1.14/1.35 (define @t83 () (@list @t82)) % 1.14/1.35 (define @t84 () (@var "V_l" $$unsorted)) % 1.14/1.35 (define @t85 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t82 @t84)) % 1.14/1.35 (define @t86 () (tptp.c_Int_OBit0 @t85)) % 1.14/1.35 (define @t87 () (tptp.c_Int_OBit0 @t84)) % 1.14/1.35 (define @t88 () (tptp.c_Int_OBit0 @t82)) % 1.14/1.35 (define @t89 () (@list @t84 @t82)) % 1.14/1.35 (define @t90 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.14/1.35 (define @t91 () (@var "V_k2_2" $$unsorted)) % 1.14/1.35 (define @t92 () (@var "V_k1_2" $$unsorted)) % 1.14/1.35 (define @t93 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t92 @t91)) % 1.14/1.35 (define @t94 () (tptp.c_Int_OBit1 @t91)) % 1.14/1.35 (define @t95 () (tptp.c_Int_OBit1 @t92)) % 1.14/1.35 (define @t96 () (@list @t91 @t92)) % 1.14/1.35 (define @t97 () (@var "V_l_2" $$unsorted)) % 1.14/1.35 (define @t98 () (@var "V_k_2" $$unsorted)) % 1.14/1.35 (define @t99 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t97)) % 1.14/1.35 (define @t100 () (tptp.c_Int_OBit1 @t97)) % 1.14/1.35 (define @t101 () (tptp.c_Int_OBit1 @t98)) % 1.14/1.35 (define @t102 () (@list @t97 @t98)) % 1.14/1.35 (define @t103 () (tptp.c_Int_OBit0 @t91)) % 1.14/1.35 (define @t104 () (tptp.c_Int_OBit0 @t92)) % 1.14/1.35 (define @t105 () (tptp.c_Int_OBit0 @t97)) % 1.14/1.35 (define @t106 () (tptp.c_Int_OBit0 @t98)) % 1.14/1.35 (define @t107 () (@var "V_r" $$unsorted)) % 1.14/1.35 (define @t108 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t107)) % 1.14/1.35 (define @t109 () (@list @t107)) % 1.14/1.35 (define @t110 () (tptp.class_Rings_Odivision__ring__inverse__zero @t34)) % 1.14/1.35 (define @t111 () (@var "V_y" $$unsorted)) % 1.14/1.35 (define @t112 () (@list @t111 @t34)) % 1.14/1.35 (define @t113 () (tptp.class_Rings_Odivision__ring @t34)) % 1.14/1.35 (define @t114 () (not @t79)) % 1.14/1.35 (define @t115 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t80)) % 1.14/1.35 (define @t116 () (= @t115 @t114)) % 1.14/1.35 (define @t117 () (=> @t62 @t116)) % 1.14/1.35 (define @t118 () (forall @t81 @t117)) % 1.14/1.35 (define @t119 () (tptp.c_Int_OBit1 @t84)) % 1.14/1.35 (define @t120 () (tptp.c_Int_OBit1 @t82)) % 1.14/1.35 (define @t121 () (@list @t84)) % 1.14/1.35 (define @t122 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 tptp.c_Int_OPls)) % 1.14/1.35 (define @t123 () (@list @t98)) % 1.14/1.35 (define @t124 () (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t70)) % 1.14/1.36 (define @t125 () (@list @t55 @t34)) % 1.14/1.36 (define @t126 () (tptp.c_Int_Onumber__class_Onumber__of @t34 tptp.c_Int_OPls)) % 1.14/1.36 (define @t127 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t46)) % 1.14/1.36 (define @t128 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t39)) % 1.14/1.36 (define @t129 () (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t128 @t127) @t49)) % 1.14/1.36 (define @t130 () (= @t46 @t70)) % 1.14/1.36 (define @t131 () (not @t130)) % 1.14/1.36 (define @t132 () (@list @t39 @t46 @t34)) % 1.14/1.36 (define @t133 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t49)) % 1.14/1.36 (define @t134 () (= @t133 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t127))) % 1.14/1.36 (define @t135 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t44)) % 1.14/1.36 (define @t136 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t78)) % 1.14/1.36 (define @t137 () (and @t37 @t60)) % 1.14/1.36 (define @t138 () (@var "V_y_2" $$unsorted)) % 1.14/1.36 (define @t139 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t138)) % 1.14/1.36 (define @t140 () (@list @t138 @t34)) % 1.14/1.36 (define @t141 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t44)) % 1.14/1.36 (define @t142 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t141)) % 1.14/1.36 (define @t143 () (tptp.c_Orderings_Oord__class_Oless @t34 @t141 @t70)) % 1.14/1.36 (define @t144 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t111)) % 1.14/1.36 (define @t145 () (= @t44 @t111)) % 1.14/1.36 (define @t146 () (not @t145)) % 1.14/1.36 (define @t147 () (@list @t111 @t44 @t34)) % 1.14/1.36 (define @t148 () (= @t78 @t138)) % 1.14/1.36 (define @t149 () (= @t136 @t139)) % 1.14/1.36 (define @t150 () (tptp.class_Int_Oring__char__0 @t34)) % 1.14/1.36 (define @t151 () (and @t37 @t150)) % 1.14/1.36 (define @t152 () (@list @t138 @t78 @t34)) % 1.14/1.36 (define @t153 () (@var "V_wb_2" $$unsorted)) % 1.14/1.36 (define @t154 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t153)) % 1.14/1.36 (define @t155 () (tptp.class_Int_Onumber @t34)) % 1.14/1.36 (define @t156 () (= @t98 @t97)) % 1.14/1.36 (define @t157 () (@var "V_q_2" $$unsorted)) % 1.14/1.36 (define @t158 () (@var "V_pa_2" $$unsorted)) % 1.14/1.36 (define @t159 () (tptp.c_Polynomial_Opoly @t34 @t158)) % 1.14/1.36 (define @t160 () (tptp.class_Rings_Oidom @t34)) % 1.14/1.36 (define @t161 () (and @t150 @t160)) % 1.14/1.36 (define @t162 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t14)) % 1.14/1.36 (define @t163 () (tptp.class_Fields_Olinordered__field__inverse__zero @t34)) % 1.14/1.36 (define @t164 () (and @t163 @t37)) % 1.14/1.36 (define @t165 () (@var "V_ra_2" $$unsorted)) % 1.14/1.36 (define @t166 () (@var "V_v" $$unsorted)) % 1.14/1.36 (define @t167 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t166)) % 1.14/1.36 (define @t168 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t167 @t35)) % 1.14/1.36 (define @t169 () (@list @t33 @t166 @t34)) % 1.14/1.36 (define @t170 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t35)) % 1.14/1.36 (define @t171 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t33)) % 1.14/1.36 (define @t172 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t171)) % 1.14/1.36 (define @t173 () (@var "V_ya" $$unsorted)) % 1.14/1.36 (define @t174 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t111 @t173)) % 1.14/1.36 (define @t175 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t44 @t173)) % 1.14/1.36 (define @t176 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t111)) % 1.14/1.36 (define @t177 () (@list @t173 @t111 @t44 @t34)) % 1.14/1.36 (define @t178 () (@var "V_c" $$unsorted)) % 1.14/1.36 (define @t179 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t46 @t178)) % 1.14/1.36 (define @t180 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t178)) % 1.14/1.36 (define @t181 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t46)) % 1.14/1.36 (define @t182 () (@list @t178 @t46 @t39 @t34)) % 1.14/1.36 (define @t183 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t46 @t39)) % 1.14/1.36 (define @t184 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t181)) % 1.14/1.36 (define @t185 () (= @t184 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t183))) % 1.14/1.36 (define @t186 () (forall @t53 (=> @t62 @t185))) % 1.14/1.36 (define @t187 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t44 @t111)) % 1.14/1.36 (define @t188 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t44)) % 1.14/1.36 (define @t189 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t107 @t12)) % 1.14/1.36 (define @t190 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t39)) % 1.14/1.36 (define @t191 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t12)) % 1.14/1.36 (define @t192 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t44)) % 1.14/1.36 (define @t193 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t111)) % 1.14/1.36 (define @t194 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t39)) % 1.14/1.36 (define @t195 () (= @t194 @t128)) % 1.14/1.36 (define @t196 () (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t70)) % 1.14/1.36 (define @t197 () (=> @t196 @t195)) % 1.14/1.36 (define @t198 () (tptp.class_Groups_Oordered__ab__group__add__abs @t34)) % 1.14/1.36 (define @t199 () (= @t194 @t39)) % 1.14/1.36 (define @t200 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t46)) % 1.14/1.36 (define @t201 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t49) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t194 @t200))) % 1.14/1.36 (define @t202 () (tptp.class_Fields_Olinordered__field @t34)) % 1.14/1.36 (define @t203 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t39)) % 1.14/1.36 (define @t204 () (= @t55 @t70)) % 1.14/1.36 (define @t205 () (tptp.class_Groups_Ogroup__add @t34)) % 1.14/1.36 (define @t206 () (tptp.c_Orderings_Oord__class_Oless @t34 @t180 @t179)) % 1.14/1.36 (define @t207 () (tptp.c_Orderings_Oord__class_Oless @t34 @t178 @t70)) % 1.14/1.36 (define @t208 () (tptp.c_Orderings_Oord__class_Oless @t34 @t46 @t39)) % 1.14/1.36 (define @t209 () (@list @t178 @t39 @t46 @t34)) % 1.14/1.36 (define @t210 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.14/1.36 (define @t211 () (@var "V_i" $$unsorted)) % 1.14/1.36 (define @t212 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t211)) % 1.14/1.36 (define @t213 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t211 @t210)) % 1.14/1.36 (define @t214 () (@var "V_z" $$unsorted)) % 1.14/1.36 (define @t215 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t214)) % 1.14/1.36 (define @t216 () (@list @t214)) % 1.14/1.36 (define @t217 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t33)) % 1.14/1.36 (define @t218 () (@list @t33)) % 1.14/1.36 (define @t219 () (@list @t111 @t44)) % 1.14/1.36 (define @t220 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t97)) % 1.14/1.36 (define @t221 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t98)) % 1.14/1.36 (define @t222 () (@var "V_v_2" $$unsorted)) % 1.14/1.36 (define @t223 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t222)) % 1.14/1.36 (define @t224 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.14/1.36 (define @t225 () (@list @t222)) % 1.14/1.36 (define @t226 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.14/1.36 (define @t227 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t153 @t210)) % 1.14/1.36 (define @t228 () (@list @t153)) % 1.14/1.36 (define @t229 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.14/1.36 (define @t230 () (tptp.c_Int_OBit0 @t153)) % 1.14/1.36 (define @t231 () (= @t158 @t75)) % 1.14/1.36 (define @t232 () (@list @t158 @t34)) % 1.14/1.36 (define @t233 () (tptp.c_Groups_Oabs__class_Oabs @t65 @t44)) % 1.14/1.36 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t65 @t44 @t75)) % 1.14/1.36 (define @t235 () (tptp.class_Groups_Oab__group__add @t34)) % 1.14/1.36 (define @t236 () (@list @t63 @t34)) % 1.14/1.36 (define @t237 () (@list @t67 @t34)) % 1.14/1.36 (define @t238 () (= @t70 @t78)) % 1.14/1.36 (define @t239 () (tptp.class_Groups_Ozero @t34)) % 1.14/1.36 (define @t240 () (@var "V_da_2" $$unsorted)) % 1.14/1.36 (define @t241 () (@var "V_c_2" $$unsorted)) % 1.14/1.36 (define @t242 () (= @t241 @t240)) % 1.14/1.36 (define @t243 () (= @t55 @t54)) % 1.14/1.36 (define @t244 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t55 @t54)) % 1.14/1.36 (define @t245 () (= @t244 (tptp.c_Groups_Ominus__class_Ominus @t34 @t241 @t240))) % 1.14/1.36 (define @t246 () (@list @t240 @t241 @t54 @t55 @t34)) % 1.14/1.36 (define @t247 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t54)) % 1.14/1.36 (define @t248 () (= @t55 @t247)) % 1.14/1.36 (define @t249 () (@var "V_v_H_2" $$unsorted)) % 1.14/1.36 (define @t250 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t222 @t249)) % 1.14/1.36 (define @t251 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t249)) % 1.14/1.36 (define @t252 () (@list @t249 @t222)) % 1.14/1.36 (define @t253 () (= @t244 @t70)) % 1.14/1.36 (define @t254 () (= @t243 @t253)) % 1.14/1.36 (define @t255 () (=> @t235 @t254)) % 1.14/1.36 (define @t256 () (forall @t61 @t255)) % 1.14/1.36 (define @t257 () (tptp.class_Groups_Oordered__ab__group__add @t34)) % 1.14/1.36 (define @t258 () (tptp.class_Groups_Olinordered__ab__group__add @t34)) % 1.14/1.36 (define @t259 () (@list @t55 @t54 @t34)) % 1.14/1.36 (define @t260 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t181)) % 1.14/1.36 (define @t261 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t183)) % 1.14/1.36 (define @t262 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t181)) % 1.14/1.36 (define @t263 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t55)) % 1.14/1.36 (define @t264 () (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t70)) % 1.14/1.36 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t54)) % 1.14/1.36 (define @t266 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t55 @t54)) % 1.14/1.36 (define @t267 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t187)) % 1.14/1.36 (define @t268 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t44)) % 1.14/1.36 (define @t269 () (tptp.c_Orderings_Oord__class_Oless @t34 @t187 @t70)) % 1.14/1.36 (define @t270 () (tptp.c_Orderings_Oord__class_Oless @t34 @t111 @t70)) % 1.14/1.36 (define @t271 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t70)) % 1.14/1.36 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t178)) % 1.14/1.36 (define @t273 () (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t46)) % 1.14/1.36 (define @t274 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t14)) % 1.14/1.36 (define @t275 () (@var "B_e" $$unsorted)) % 1.14/1.36 (define @t276 () (@var "B_n" $$unsorted)) % 1.14/1.36 (define @t277 () (@var "B_N" $$unsorted)) % 1.14/1.36 (define @t278 () (@list @t276)) % 1.14/1.36 (define @t279 () (@list @t277)) % 1.14/1.36 (define @t280 () (@var "V_e" $$unsorted)) % 1.14/1.36 (define @t281 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t63)) % 1.14/1.36 (define @t282 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t23 @t214))) % 1.14/1.36 (define @t283 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t111)) % 1.14/1.36 (define @t284 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t283 @t15)) % 1.14/1.36 (define @t285 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t111)) % 1.14/1.36 (define @t286 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t15)) % 1.14/1.36 (define @t287 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t286)) % 1.14/1.36 (define @t288 () (tptp.c_Groups_Oone__class_Oone @t34)) % 1.14/1.36 (define @t289 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.14/1.36 (define @t290 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t194 @t200)) % 1.14/1.36 (define @t291 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t46)) % 1.14/1.36 (define @t292 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t55)) % 1.14/1.36 (define @t293 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t55 @t55)) % 1.14/1.36 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t70)) % 1.14/1.36 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t46)) % 1.14/1.36 (define @t296 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t39)) % 1.14/1.36 (define @t297 () (tptp.class_Groups_Oordered__comm__monoid__add @t34)) % 1.14/1.36 (define @t298 () (= @t138 @t70)) % 1.14/1.36 (define @t299 () (and @t79 @t298)) % 1.14/1.36 (define @t300 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t78 @t138) @t70)) % 1.14/1.36 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t178)) % 1.14/1.36 (define @t302 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t46 @t301)) % 1.14/1.36 (define @t303 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t46 @t178)) % 1.14/1.36 (define @t304 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t46 @t39)) % 1.14/1.36 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t178)) % 1.14/1.36 (define @t306 () (@list @t39 @t46 @t178 @t34)) % 1.14/1.36 (define @t307 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t46 @t70)) % 1.14/1.36 (define @t308 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t70)) % 1.14/1.36 (define @t309 () (@var "V_d" $$unsorted)) % 1.14/1.36 (define @t310 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t46 @t309)) % 1.14/1.36 (define @t311 () (tptp.c_Orderings_Oord__class_Oless @t34 @t301 @t310)) % 1.14/1.36 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t178 @t309)) % 1.14/1.36 (define @t313 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t34)) % 1.14/1.36 (define @t314 () (@list @t309 @t178 @t46 @t39 @t34)) % 1.14/1.36 (define @t315 () (tptp.c_Orderings_Oord__class_Oless @t34 @t178 @t309)) % 1.14/1.36 (define @t316 () (=> @t315 @t311)) % 1.14/1.36 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t46)) % 1.14/1.36 (define @t318 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t178 @t46)) % 1.14/1.36 (define @t319 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t178 @t39)) % 1.14/1.36 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t319 @t318)) % 1.14/1.36 (define @t321 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t34)) % 1.14/1.36 (define @t322 () (@list @t46 @t39 @t178 @t34)) % 1.14/1.36 (define @t323 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t46 @t178)) % 1.14/1.36 (define @t324 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t301 @t323)) % 1.14/1.36 (define @t325 () (@list @t46 @t178 @t39 @t34)) % 1.14/1.36 (define @t326 () (= @t46 @t178)) % 1.14/1.36 (define @t327 () (tptp.class_Groups_Ocancel__semigroup__add @t34)) % 1.14/1.36 (define @t328 () (=> (= @t291 @t301) @t326)) % 1.14/1.36 (define @t329 () (tptp.class_Groups_Oordered__ab__semigroup__add @t34)) % 1.14/1.36 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t54)) % 1.14/1.36 (define @t331 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t241 @t54)) % 1.14/1.36 (define @t332 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t241 @t55)) % 1.14/1.36 (define @t333 () (@list @t54 @t55 @t241 @t34)) % 1.14/1.36 (define @t334 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t54 @t241)) % 1.14/1.36 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t55 @t241)) % 1.14/1.36 (define @t336 () (@list @t54 @t241 @t55 @t34)) % 1.14/1.36 (define @t337 () (= @t54 @t241)) % 1.14/1.36 (define @t338 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t54 @t55)) % 1.14/1.36 (define @t339 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t55 @t54)) % 1.14/1.36 (define @t340 () (@list @t241 @t54 @t55 @t34)) % 1.14/1.36 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t291 @t178)) % 1.14/1.36 (define @t342 () (= @t341 (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t323))) % 1.14/1.36 (define @t343 () (= @t78 @t288)) % 1.14/1.36 (define @t344 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t288)) % 1.14/1.36 (define @t345 () (tptp.class_Rings_Olinordered__semidom @t34)) % 1.14/1.36 (define @t346 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t166 @t33)) % 1.14/1.36 (define @t347 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t346)) % 1.14/1.36 (define @t348 () (@list @t214 @t33 @t166 @t34)) % 1.14/1.36 (define @t349 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t167 @t35)) % 1.14/1.36 (define @t350 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.14/1.36 (define @t351 () (tptp.c_Groups_Oplus__class_Oplus @t65 @t63 @t67)) % 1.14/1.36 (define @t352 () (tptp.class_Rings_Ocomm__semiring__1 @t34)) % 1.14/1.36 (define @t353 () (@list @t166 @t34)) % 1.14/1.36 (define @t354 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t288 @t35)) % 1.14/1.36 (define @t355 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t291)) % 1.14/1.36 (define @t356 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t46)) % 1.14/1.36 (define @t357 () (=> @t356 @t355)) % 1.14/1.36 (define @t358 () (tptp.c_Orderings_Oord__class_Oless @t34 @t46 @t301)) % 1.14/1.36 (define @t359 () (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t46 @t178) @t358)) % 1.14/1.36 (define @t360 () (tptp.c_Orderings_Oord__class_Oless @t34 @t291 @t70)) % 1.14/1.36 (define @t361 () (tptp.c_Orderings_Oord__class_Oless @t34 @t46 @t70)) % 1.14/1.36 (define @t362 () (=> @t361 @t360)) % 1.14/1.36 (define @t363 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t288 @t288)) % 1.14/1.36 (define @t364 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t291 @t363)) % 1.14/1.36 (define @t365 () (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Int_OBit1 @t33))) % 1.14/1.36 (define @t366 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t46 @t309)) % 1.14/1.36 (define @t367 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t178)) % 1.14/1.36 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t178 @t309)) % 1.14/1.36 (define @t369 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t291 @t368)) % 1.14/1.36 (define @t370 () (@var "V_s" $$unsorted)) % 1.14/1.36 (define @t371 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t111)) % 1.14/1.36 (define @t372 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t371)) % 1.14/1.36 (define @t373 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t111)) % 1.14/1.36 (define @t374 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t373 @t370)) % 1.14/1.36 (define @t375 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t135 @t107)) % 1.14/1.36 (define @t376 () (@list @t370 @t111 @t107 @t44 @t34)) % 1.14/1.36 (define @t377 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t44)) % 1.14/1.36 (define @t378 () (@list @t44)) % 1.14/1.36 (define @t379 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t70 @t39) @t39)) % 1.14/1.36 (define @t380 () (tptp.class_Groups_Omonoid__add @t34)) % 1.14/1.36 (define @t381 () (tptp.class_Groups_Ocomm__monoid__add @t34)) % 1.14/1.36 (define @t382 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t70) @t39)) % 1.14/1.36 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t34 @t319 @t318)) % 1.14/1.36 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t34 @t301 @t323)) % 1.14/1.36 (define @t385 () (tptp.class_Rings_Ozero__neq__one @t34)) % 1.14/1.36 (define @t386 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t291)) % 1.14/1.36 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t56 @t54)) % 1.14/1.36 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t194 @t46)) % 1.14/1.36 (define @t389 () (@var "V_za_2" $$unsorted)) % 1.14/1.36 (define @t390 () (@list @t389)) % 1.14/1.36 (define @t391 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t166 @t171)) % 1.14/1.36 (define @t392 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t391)) % 1.14/1.36 (define @t393 () (= (tptp.c_Orderings_Oord__class_Oless @t34 @t293 @t70) @t124)) % 1.14/1.36 (define @t394 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t128 @t39) @t70)) % 1.14/1.36 (define @t395 () (= @t181 (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t127))) % 1.14/1.36 (define @t396 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t222)) % 1.14/1.36 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t70)) % 1.14/1.36 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t54)) % 1.14/1.36 (define @t399 () (or (and @t292 @t398) (and @t294 @t397))) % 1.14/1.36 (define @t400 () (or (and @t292 @t397) (and @t294 @t398))) % 1.14/1.36 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t178 @t70)) % 1.14/1.36 (define @t402 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t39)) % 1.14/1.36 (define @t403 () (= @t39 @t70)) % 1.14/1.36 (define @t404 () (not @t403)) % 1.14/1.36 (define @t405 () (=> @t404 (= @t402 @t288))) % 1.14/1.36 (define @t406 () (= @t54 @t70)) % 1.14/1.36 (define @t407 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t194 @t200)) % 1.14/1.36 (define @t408 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t128 @t46)) % 1.14/1.36 (define @t409 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t78)) % 1.14/1.36 (define @t410 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t78 @t138)) % 1.14/1.36 (define @t411 () (@list @t138 @t78)) % 1.14/1.36 (define @t412 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.14/1.36 (define @t413 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t13)) % 1.14/1.36 (define @t414 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t111))) % 1.14/1.36 (define @t415 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t44)) % 1.14/1.36 (define @t416 () (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Int_OBit0 @t33))) % 1.14/1.36 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t187)) % 1.14/1.36 (define @t418 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t70)) % 1.14/1.36 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t187 @t70)) % 1.14/1.36 (define @t420 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t111 @t33)) % 1.14/1.36 (define @t421 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t44 @t214)) % 1.14/1.36 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t214)) % 1.14/1.36 (define @t423 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t33)) % 1.14/1.36 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t111)) % 1.14/1.36 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t44)) % 1.14/1.36 (define @t426 () (@list @t214 @t33 @t111 @t44 @t34)) % 1.14/1.36 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t34 @t421 @t420)) % 1.14/1.36 (define @t428 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit0 @t14))) % 1.14/1.36 (define @t429 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t46 @t39) @t15)) % 1.14/1.36 (define @t430 () (@list @t39 @t46)) % 1.14/1.36 (define @t431 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 @t15)) % 1.14/1.36 (define @t432 () (@var "V_n" $$unsorted)) % 1.14/1.36 (define @t433 () (@list @t432)) % 1.14/1.36 (define @t434 () (tptp.c_Nat_OSuc @t276)) % 1.14/1.36 (define @t435 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t434)))) % 1.14/1.36 (define @t436 () (tptp.v_g____ @t276)) % 1.14/1.36 (define @t437 () (tptp.class_Rings_Ocomm__ring__1 @t34)) % 1.14/1.36 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 tptp.v_r)) % 1.14/1.36 (define @t439 () (tptp.c_Nat_OSuc @t432)) % 1.14/1.36 (define @t440 () (@var "V_m" $$unsorted)) % 1.14/1.36 (define @t441 () (tptp.c_Nat_OSuc @t440)) % 1.14/1.36 (define @t442 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t441 @t439)) % 1.14/1.36 (define @t443 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t432)) % 1.14/1.36 (define @t444 () (@list @t432 @t440)) % 1.14/1.36 (define @t445 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t432)) % 1.14/1.36 (define @t446 () (@list @t440)) % 1.14/1.36 (define @t447 () (@var "V_nat_H" $$unsorted)) % 1.14/1.36 (define @t448 () (@var "V_nat_H_1" $$unsorted)) % 1.14/1.36 (define @t449 () (@var "V_j" $$unsorted)) % 1.14/1.36 (define @t450 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t211 @t449)) % 1.14/1.36 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t211)) % 1.14/1.36 (define @t452 () (tptp.c_Nat_OSuc @t224)) % 1.14/1.36 (define @t453 () (@list @t440 @t211)) % 1.14/1.36 (define @t454 () (@var "V_m_2" $$unsorted)) % 1.14/1.36 (define @t455 () (tptp.c_Nat_OSuc @t454)) % 1.14/1.36 (define @t456 () (@var "V_n_2" $$unsorted)) % 1.14/1.36 (define @t457 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t456 @t455)) % 1.14/1.36 (define @t458 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t456)) % 1.14/1.36 (define @t459 () (@list @t456 @t454)) % 1.14/1.36 (define @t460 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t432)) % 1.14/1.36 (define @t461 () (@var "B_k" $$unsorted)) % 1.14/1.36 (define @t462 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t461)) % 1.14/1.36 (define @t463 () (@list @t461)) % 1.14/1.36 (define @t464 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t211 @t82)) % 1.14/1.36 (define @t465 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t449 @t82)) % 1.14/1.36 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t449)) % 1.14/1.36 (define @t467 () (@list @t211 @t449 @t82)) % 1.14/1.36 (define @t468 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t412)) % 1.14/1.36 (define @t469 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t432)) % 1.14/1.36 (define @t470 () (= @t440 @t224)) % 1.14/1.36 (define @t471 () (= @t454 @t456)) % 1.14/1.36 (define @t472 () (or @t458 @t471)) % 1.14/1.36 (define @t473 () (tptp.c_Nat_OSuc @t456)) % 1.14/1.36 (define @t474 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t473)) % 1.14/1.36 (define @t475 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t153 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t389 @t289))) % 1.14/1.36 (define @t476 () (@list @t389 @t153)) % 1.14/1.36 (define @t477 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t440)) % 1.14/1.36 (define @t478 () (@list @t440 @t432)) % 1.14/1.36 (define @t479 () (@var "V_j_2" $$unsorted)) % 1.14/1.36 (define @t480 () (@var "V_i_2" $$unsorted)) % 1.14/1.36 (define @t481 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t480 @t98)) % 1.14/1.36 (define @t482 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t479 @t98)) % 1.14/1.36 (define @t483 () (@list @t98 @t479 @t480)) % 1.14/1.36 (define @t484 () (= @t456 @t452)) % 1.14/1.36 (define @t485 () (= @t454 @t224)) % 1.14/1.36 (define @t486 () (= @t456 @t224)) % 1.14/1.36 (define @t487 () (= @t454 @t452)) % 1.14/1.36 (define @t488 () (or (and @t487 @t486) (and @t485 @t484))) % 1.14/1.36 (define @t489 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t456)) % 1.14/1.36 (define @t490 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t153 @t389)) % 1.14/1.36 (define @t491 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t456)) % 1.14/1.36 (define @t492 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t454)) % 1.14/1.36 (define @t493 () (@list @t456 @t454 @t98)) % 1.14/1.36 (define @t494 () (= @t456 @t454)) % 1.14/1.36 (define @t495 () (= @t457 @t494)) % 1.14/1.36 (define @t496 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t456 @t454)) % 1.14/1.36 (define @t497 () (@list @t454 @t456)) % 1.14/1.36 (define @t498 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t460) @t440)) % 1.14/1.36 (define @t499 () (not @t443)) % 1.14/1.36 (define @t500 () (= @t440 @t432)) % 1.14/1.36 (define @t501 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t440)) % 1.14/1.36 (define @t502 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t439)) % 1.14/1.36 (define @t503 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t440)) % 1.14/1.36 (define @t504 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t449)) % 1.14/1.36 (define @t505 () (@list @t440 @t449 @t211)) % 1.14/1.36 (define @t506 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t449)) % 1.14/1.36 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t432)) % 1.14/1.36 (define @t508 () (@list @t214 @t33)) % 1.14/1.36 (define @t509 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t82)) % 1.14/1.36 (define @t510 () (@list @t82 @t449 @t211)) % 1.14/1.36 (define @t511 () (tptp.c_Nat_OSuc @t449)) % 1.14/1.36 (define @t512 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t82)) % 1.14/1.36 (define @t513 () (tptp.c_Nat_OSuc @t465)) % 1.14/1.36 (define @t514 () (@list @t440 @t449 @t82)) % 1.14/1.36 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t440)) % 1.14/1.36 (define @t516 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t450 @t82)) % 1.14/1.36 (define @t517 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t211 @t465)) % 1.14/1.36 (define @t518 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t441 @t432)) % 1.14/1.36 (define @t519 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t440)) % 1.14/1.36 (define @t520 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t451 @t82)) % 1.14/1.36 (define @t521 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t465 @t211)) % 1.14/1.36 (define @t522 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t441 @t432)) % 1.14/1.36 (define @t523 () (tptp.c_Nat_OSuc @t211)) % 1.14/1.36 (define @t524 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t449 @t82)) % 1.14/1.36 (define @t525 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t84)) % 1.14/1.36 (define @t526 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t84)) % 1.14/1.36 (define @t527 () (@list @t84 @t82 @t449 @t211)) % 1.14/1.36 (define @t528 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t33 @t214)) % 1.14/1.36 (define @t529 () (@var "V_z_H" $$unsorted)) % 1.14/1.36 (define @t530 () (@var "V_w_H" $$unsorted)) % 1.14/1.36 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t432)) % 1.14/1.36 (define @t532 () (= @t432 @t224)) % 1.14/1.36 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t454)) % 1.14/1.36 (define @t534 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t454)) % 1.14/1.36 (define @t535 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t456)) % 1.14/1.36 (define @t536 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t440)) % 1.14/1.36 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t445 @t350)) % 1.14/1.36 (define @t538 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t439)) % 1.14/1.36 (define @t539 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t412)) % 1.14/1.36 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t454)) % 1.14/1.36 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t456)) % 1.14/1.36 (define @t542 () (tptp.c_Nat_OSuc @t469)) % 1.14/1.36 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t439)) % 1.14/1.36 (define @t544 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t441 @t432)) % 1.14/1.36 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t439)) % 1.14/1.36 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t432)) % 1.14/1.36 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t449)) % 1.14/1.36 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t84)) % 1.14/1.36 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t441 @t432)) % 1.14/1.36 (define @t550 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t512 @t432)) % 1.14/1.36 (define @t551 () (@list @t432 @t82 @t440)) % 1.14/1.36 (define @t552 () (= @t214 @t33)) % 1.14/1.36 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t33 @t214)) % 1.14/1.36 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t214 @t33)) % 1.14/1.36 (define @t555 () (@list @t33 @t214)) % 1.14/1.36 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t211 @t449)) % 1.14/1.36 (define @t557 () (@var "V_z3" $$unsorted)) % 1.14/1.36 (define @t558 () (@var "V_z2" $$unsorted)) % 1.14/1.36 (define @t559 () (@var "V_z1" $$unsorted)) % 1.14/1.36 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t559 @t558)) % 1.14/1.36 (define @t561 () (@list @t557 @t558 @t559)) % 1.14/1.36 (define @t562 () (@list @t214 @t111 @t44)) % 1.14/1.36 (define @t563 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t214 @t33)) % 1.14/1.36 (define @t564 () (@var "V_nat_H_2" $$unsorted)) % 1.14/1.36 (define @t565 () (@var "V_nat_2" $$unsorted)) % 1.14/1.36 (define @t566 () (@list @t82 @t432 @t440)) % 1.14/1.36 (define @t567 () (@list @t456)) % 1.14/1.36 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t289 @t214)) % 1.14/1.36 (define @t569 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t214)) % 1.14/1.36 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 @t84)) % 1.14/1.36 (define @t571 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t44)) % 1.14/1.36 (define @t572 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t211 @t449)) % 1.14/1.36 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t98 @t97)) % 1.14/1.36 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t92 @t91)) % 1.14/1.36 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t78 @t138)) % 1.14/1.36 (define @t576 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t78 @t138)) % 1.14/1.36 (define @t577 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t166)) % 1.14/1.36 (define @t578 () (@list @t33 @t166)) % 1.14/1.36 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 @t111)) % 1.14/1.36 (define @t580 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t432)) % 1.14/1.36 (define @t581 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t412))) % 1.14/1.36 (define @t582 () (@var "B_j" $$unsorted)) % 1.14/1.36 (define @t583 () (@var "B_m" $$unsorted)) % 1.14/1.36 (define @t584 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t456)) % 1.14/1.36 (define @t585 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t454)) % 1.14/1.36 (define @t586 () (@var "V_P_2" $$unsorted)) % 1.14/1.36 (define @t587 () (tptp.hBOOL (tptp.hAPP @t586 @t29))) % 1.14/1.36 (define @t588 () (= @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t54 @t29))) % 1.14/1.36 (define @t589 () (tptp.hBOOL (tptp.hAPP @t586 @t224))) % 1.14/1.36 (define @t590 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t55 @t54)) % 1.14/1.36 (define @t591 () (tptp.hBOOL (tptp.hAPP @t586 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t55 @t54)))) % 1.14/1.36 (define @t592 () (@list @t54 @t55 @t586)) % 1.14/1.36 (define @t593 () (tptp.c_Int_OBit1 @t13)) % 1.14/1.36 (define @t594 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t593)) % 1.14/1.36 (define @t595 () (tptp.c_Nat_OSuc @t439)) % 1.14/1.36 (define @t596 () (@var "V_v_H" $$unsorted)) % 1.14/1.36 (define @t597 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t596)) % 1.14/1.36 (define @t598 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t166)) % 1.14/1.36 (define @t599 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t598 @t597)) % 1.14/1.36 (define @t600 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t596 tptp.c_Int_OPls)) % 1.14/1.36 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t166 tptp.c_Int_OPls)) % 1.14/1.36 (define @t602 () (not @t601)) % 1.14/1.36 (define @t603 () (@list @t596 @t166)) % 1.14/1.36 (define @t604 () (tptp.c_Int_OBit1 @t570)) % 1.14/1.36 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t98)) % 1.14/1.36 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t214 @t171)) % 1.14/1.36 (define @t607 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t214 @t33)) % 1.14/1.36 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t222 tptp.c_Int_OPls)) % 1.14/1.36 (define @t609 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t48 @t47)) % 1.14/1.36 (define @t610 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t368)) % 1.14/1.36 (define @t611 () (@list @t309 @t178 @t39 @t34)) % 1.14/1.36 (define @t612 () (= @t460 @t224)) % 1.14/1.36 (define @t613 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t586 @t456) @t454))) % 1.14/1.36 (define @t614 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t440)) % 1.14/1.36 (define @t615 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t84 @t432)) % 1.14/1.36 (define @t616 () (@list @t84 @t432 @t440)) % 1.14/1.36 (define @t617 () (@var "V_t" $$unsorted)) % 1.14/1.36 (define @t618 () (not @t500)) % 1.14/1.36 (define @t619 () (not @t471)) % 1.14/1.36 (define @t620 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t440)) % 1.14/1.36 (define @t621 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t84)) % 1.14/1.36 (define @t622 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t456 @t98)) % 1.14/1.36 (define @t623 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t98)) % 1.14/1.36 (define @t624 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t456)) % 1.14/1.36 (define @t625 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t454)) % 1.14/1.36 (define @t626 () (@list @t432 @t440 @t82)) % 1.14/1.36 (define @t627 () (tptp.c_Nat_OSuc @t452)) % 1.14/1.36 (define @t628 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t13)) % 1.14/1.36 (define @t629 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t34)) % 1.14/1.36 (define @t630 () (@list @t309 @t46 @t178 @t39 @t34)) % 1.14/1.36 (define @t631 () (not @t532)) % 1.14/1.36 (define @t632 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t14)) % 1.14/1.36 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t44)) % 1.14/1.36 (define @t634 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t277))) % 1.14/1.36 (define @t635 () (@var "V_X_2" $$unsorted)) % 1.14/1.36 (define @t636 () (@var "T_b" $$unsorted)) % 1.14/1.36 (define @t637 () (tptp.c_RealVector_Onorm__class_Onorm @t636 (tptp.hAPP @t635 @t276))) % 1.14/1.36 (define @t638 () (@var "B_K" $$unsorted)) % 1.14/1.36 (define @t639 () (exists (@list @t638) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t638) (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t637 @t638))))) % 1.14/1.36 (define @t640 () (tptp.class_RealVector_Oreal__normed__vector @t636)) % 1.14/1.36 (define @t641 () (@list @t635 @t636)) % 1.14/1.36 (define @t642 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (define @t643 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t642))) % 1.14/1.36 (define @t644 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t642)) % 1.14/1.36 (define @t645 () (@var "V_z_2" $$unsorted)) % 1.14/1.36 (define @t646 () (@var "B_y" $$unsorted)) % 1.14/1.36 (define @t647 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t3)) % 1.14/1.36 (define @t648 () (@var "B_z" $$unsorted)) % 1.14/1.36 (define @t649 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t648))) % 1.14/1.36 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t648) tptp.v_r)) % 1.14/1.36 (define @t651 () (@list @t648)) % 1.14/1.36 (define @t652 () (@list @t646)) % 1.14/1.36 (define @t653 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t211 @t449) @t82)) % 1.14/1.36 (define @t654 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t82)) % 1.14/1.36 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t214)) % 1.14/1.36 (define @t656 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t214 @t33)) % 1.14/1.36 (define @t657 () (@list @t456 @t98 @t454)) % 1.14/1.36 (define @t658 () (tptp.hAPP @t2 @t276)) % 1.14/1.36 (define @t659 () (tptp.c_SEQ_Osubseq @t2)) % 1.14/1.36 (define @t660 () (@list @t2)) % 1.14/1.36 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t111)) % 1.14/1.36 (define @t662 () (@var "B_f" $$unsorted)) % 1.14/1.36 (define @t663 () (tptp.hAPP @t662 @t3)) % 1.14/1.36 (define @t664 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t138)) % 1.14/1.36 (define @t665 () (@list @t138)) % 1.14/1.36 (define @t666 () (@var "B_za" $$unsorted)) % 1.14/1.36 (define @t667 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t44)) % 1.14/1.36 (define @t668 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t138)) % 1.14/1.36 (define @t669 () (tptp.c_Transcendental_Oarctan @t111)) % 1.14/1.36 (define @t670 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t669)) % 1.14/1.36 (define @t671 () (@list @t111)) % 1.14/1.36 (define @t672 () (= @t389 @t70)) % 1.14/1.36 (define @t673 () (tptp.class_Rings_Osemiring__1 @t34)) % 1.14/1.36 (define @t674 () (tptp.c_Transcendental_Oarctan @t44)) % 1.14/1.36 (define @t675 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t669 @t286)) % 1.14/1.36 (define @t676 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t428)) % 1.14/1.36 (define @t677 () (tptp.c_Transcendental_Otan @t44)) % 1.14/1.36 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t286)) % 1.14/1.36 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t44)) % 1.14/1.36 (define @t680 () (= (tptp.c_Transcendental_Otan @t669) @t111)) % 1.14/1.36 (define @t681 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t44)) % 1.14/1.36 (define @t682 () (tptp.c_Transcendental_Otan @t111)) % 1.14/1.36 (define @t683 () (@list @t44 @t111)) % 1.14/1.36 (define @t684 () (tptp.c_Transcendental_Otan @t3)) % 1.14/1.36 (define @t685 () (= @t684 @t111)) % 1.14/1.36 (define @t686 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t286)) % 1.14/1.36 (define @t687 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t111)) % 1.14/1.36 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t3)) % 1.14/1.36 (define @t689 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t111)) % 1.14/1.36 (define @t690 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t178 @t309)) % 1.14/1.36 (define @t691 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t194 @t200)) % 1.14/1.36 (define @t692 () (= @t78 @t12)) % 1.14/1.36 (define @t693 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t78 @t78)) % 1.14/1.36 (define @t694 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t138 @t389)) % 1.14/1.36 (define @t695 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t78 @t389)) % 1.14/1.36 (define @t696 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t389)) % 1.14/1.36 (define @t697 () (@list @t138 @t78 @t389)) % 1.14/1.36 (define @t698 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t44 @t111)) % 1.14/1.36 (define @t699 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t127)) % 1.14/1.36 (define @t700 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t46)) % 1.14/1.36 (define @t701 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t700)) % 1.14/1.36 (define @t702 () (tptp.class_Rings_Oring @t34)) % 1.14/1.36 (define @t703 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t128 @t46)) % 1.14/1.36 (define @t704 () (tptp.class_RealVector_Oreal__normed__algebra @t34)) % 1.14/1.36 (define @t705 () (@var "V_xa" $$unsorted)) % 1.14/1.36 (define @t706 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t705 @t44)) % 1.14/1.36 (define @t707 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t111)) % 1.14/1.36 (define @t708 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t135 @t373)) % 1.14/1.36 (define @t709 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t707)) % 1.14/1.36 (define @t710 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t111 @t173)) % 1.14/1.36 (define @t711 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t173)) % 1.14/1.36 (define @t712 () (@var "V_a_H" $$unsorted)) % 1.14/1.36 (define @t713 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t712 @t46)) % 1.14/1.36 (define @t714 () (@list @t46 @t712 @t39 @t34)) % 1.14/1.36 (define @t715 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t46 @t178)) % 1.14/1.36 (define @t716 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t178)) % 1.14/1.36 (define @t717 () (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t291 @t178) (tptp.c_Groups_Oplus__class_Oplus @t34 @t716 @t715))) % 1.14/1.36 (define @t718 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t705 @t111)) % 1.14/1.36 (define @t719 () (@list @t111 @t44 @t705 @t34)) % 1.14/1.36 (define @t720 () (@var "V_b_H" $$unsorted)) % 1.14/1.36 (define @t721 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t720)) % 1.14/1.36 (define @t722 () (@list @t720 @t46 @t39 @t34)) % 1.14/1.36 (define @t723 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t78 @t389)) % 1.14/1.36 (define @t724 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t153 @t138)) % 1.14/1.36 (define @t725 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t440)) % 1.14/1.36 (define @t726 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t54 @t241)) % 1.14/1.36 (define @t727 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t241)) % 1.14/1.36 (define @t728 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t214)) % 1.14/1.36 (define @t729 () (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t288) @t39)) % 1.14/1.36 (define @t730 () (tptp.class_Groups_Ocomm__monoid__mult @t34)) % 1.14/1.36 (define @t731 () (tptp.class_Groups_Omonoid__mult @t34)) % 1.14/1.36 (define @t732 () (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t288 @t39) @t39)) % 1.14/1.36 (define @t733 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t39)) % 1.14/1.36 (define @t734 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t700) @t691)) % 1.14/1.36 (define @t735 () (@list @t33 @t558 @t559)) % 1.14/1.36 (define @t736 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t166 @t33)) % 1.14/1.36 (define @t737 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t736)) % 1.14/1.36 (define @t738 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t167 @t35)) % 1.14/1.36 (define @t739 () (tptp.class_RealVector_Oreal__normed__div__algebra @t34)) % 1.14/1.36 (define @t740 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t46 @t39)) % 1.14/1.36 (define @t741 () (@var "V_ry" $$unsorted)) % 1.14/1.36 (define @t742 () (@var "V_lx" $$unsorted)) % 1.14/1.36 (define @t743 () (@var "V_rx" $$unsorted)) % 1.14/1.36 (define @t744 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t743 @t741)) % 1.14/1.36 (define @t745 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 @t744)) % 1.14/1.36 (define @t746 () (@list @t741 @t743 @t742 @t34)) % 1.14/1.36 (define @t747 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 @t743)) % 1.14/1.36 (define @t748 () (@var "V_ly" $$unsorted)) % 1.14/1.36 (define @t749 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 @t748)) % 1.14/1.36 (define @t750 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t749 @t743)) % 1.14/1.36 (define @t751 () (@list @t743 @t748 @t742 @t34)) % 1.14/1.36 (define @t752 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t749 @t744)) % 1.14/1.36 (define @t753 () (@list @t741 @t743 @t748 @t742 @t34)) % 1.14/1.36 (define @t754 () (not (= @t241 @t12))) % 1.14/1.36 (define @t755 () (@list @t54 @t55 @t241)) % 1.14/1.36 (define @t756 () (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t70 @t39) @t70)) % 1.14/1.36 (define @t757 () (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t70) @t70)) % 1.14/1.36 (define @t758 () (= @t700 @t70)) % 1.14/1.36 (define @t759 () (tptp.class_Rings_Ono__zero__divisors @t34)) % 1.14/1.36 (define @t760 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t54)) % 1.14/1.36 (define @t761 () (tptp.class_Rings_Omult__zero @t34)) % 1.14/1.36 (define @t762 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t288)) % 1.14/1.36 (define @t763 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t78 @t78)) % 1.14/1.36 (define @t764 () (= @t727 @t54)) % 1.14/1.36 (define @t765 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t54 @t241)) % 1.14/1.36 (define @t766 () (= @t55 @t765)) % 1.14/1.36 (define @t767 () (= @t241 @t70)) % 1.14/1.36 (define @t768 () (not @t767)) % 1.14/1.36 (define @t769 () (= @t54 @t727)) % 1.14/1.36 (define @t770 () (= @t765 @t55)) % 1.14/1.36 (define @t771 () (@list @t55 @t54 @t241 @t34)) % 1.14/1.36 (define @t772 () (not (= @t178 @t70))) % 1.14/1.36 (define @t773 () (=> @t767 @t204)) % 1.14/1.36 (define @t774 () (@list @t55 @t241 @t54 @t34)) % 1.14/1.36 (define @t775 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t178 @t46)) % 1.14/1.36 (define @t776 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t178 @t39)) % 1.14/1.36 (define @t777 () (not @t298)) % 1.14/1.36 (define @t778 () (tptp.c_Int_Onumber__class_Onumber__of @t636 @t166)) % 1.14/1.36 (define @t779 () (tptp.c_Groups_Otimes__class_Otimes @t636 @t46 @t778)) % 1.14/1.36 (define @t780 () (tptp.c_Groups_Otimes__class_Otimes @t636 @t39 @t778)) % 1.14/1.36 (define @t781 () (tptp.class_Int_Onumber @t636)) % 1.14/1.36 (define @t782 () (and @t781 (tptp.class_Rings_Oring @t636))) % 1.14/1.36 (define @t783 () (@list @t166 @t46 @t39 @t636)) % 1.14/1.36 (define @t784 () (tptp.c_Groups_Otimes__class_Otimes @t636 @t778 @t178)) % 1.14/1.36 (define @t785 () (tptp.c_Groups_Otimes__class_Otimes @t636 @t778 @t46)) % 1.14/1.36 (define @t786 () (@list @t178 @t46 @t166 @t636)) % 1.14/1.36 (define @t787 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t344 @t440)) % 1.14/1.36 (define @t788 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t39)) % 1.14/1.36 (define @t789 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t788 @t46)) % 1.14/1.36 (define @t790 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t111 @t46)) % 1.14/1.36 (define @t791 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t707 @t700)) % 1.14/1.36 (define @t792 () (@list @t46 @t39 @t111 @t44 @t34)) % 1.14/1.36 (define @t793 () (@var "V_e_2" $$unsorted)) % 1.14/1.36 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t244 @t793) @t241)) % 1.14/1.36 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t54 @t793) @t240)) % 1.14/1.36 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t793) @t241)) % 1.14/1.36 (define @t797 () (= @t796 @t795)) % 1.14/1.36 (define @t798 () (@list @t240 @t54 @t241 @t793 @t55 @t34)) % 1.14/1.36 (define @t799 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t54 @t55) @t793) @t240)) % 1.14/1.36 (define @t800 () (and @t781 (tptp.class_Rings_Osemiring @t636))) % 1.14/1.36 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t763 (tptp.c_Groups_Otimes__class_Otimes @t34 @t138 @t138))) % 1.14/1.36 (define @t802 () (tptp.class_Rings_Olinordered__ring__strict @t34)) % 1.14/1.36 (define @t803 () (tptp.class_Rings_Olinordered__ring @t34)) % 1.14/1.36 (define @t804 () (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t55)) % 1.14/1.36 (define @t805 () (tptp.c_Orderings_Oord__class_Oless @t34 @t241 @t70)) % 1.14/1.36 (define @t806 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t241)) % 1.14/1.36 (define @t807 () (or (and @t806 @t58) (and @t805 @t804))) % 1.14/1.36 (define @t808 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t241 @t54)) % 1.14/1.36 (define @t809 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t241 @t55)) % 1.14/1.36 (define @t810 () (tptp.c_Orderings_Oord__class_Oless @t34 @t809 @t808)) % 1.14/1.36 (define @t811 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t700)) % 1.14/1.36 (define @t812 () (tptp.class_Rings_Olinordered__semiring__strict @t34)) % 1.14/1.36 (define @t813 () (tptp.c_Orderings_Oord__class_Oless @t34 @t700 @t70)) % 1.14/1.36 (define @t814 () (=> @t203 @t356)) % 1.14/1.36 (define @t815 () (tptp.c_Orderings_Oord__class_Oless @t34 @t716 @t715)) % 1.14/1.36 (define @t816 () (tptp.c_Orderings_Oord__class_Oless @t34 @t776 @t775)) % 1.14/1.36 (define @t817 () (=> @t273 (=> @t272 @t816))) % 1.14/1.36 (define @t818 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t700 @t70)) % 1.14/1.36 (define @t819 () (tptp.class_Rings_Oordered__cancel__semiring @t34)) % 1.14/1.36 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t700)) % 1.14/1.36 (define @t821 () (tptp.class_Rings_Oordered__ring @t34)) % 1.14/1.36 (define @t822 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t46 @t309)) % 1.14/1.36 (define @t823 () (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t716 @t822))) % 1.14/1.36 (define @t824 () (tptp.class_Rings_Oordered__semiring @t34)) % 1.14/1.36 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t776 @t775)) % 1.14/1.36 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t716 @t715)) % 1.14/1.36 (define @t827 () (=> @t317 (=> @t305 @t825))) % 1.14/1.36 (define @t828 () (@var "V_u" $$unsorted)) % 1.14/1.36 (define @t829 () (tptp.hAPP @t2 @t55)) % 1.14/1.36 (define @t830 () (tptp.hAPP @t2 @t54)) % 1.14/1.36 (define @t831 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t830 @t829) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t54 @t55))) % 1.14/1.36 (define @t832 () (=> @t272 @t317)) % 1.14/1.36 (define @t833 () (=> @t305 @t273)) % 1.14/1.36 (define @t834 () (=> @t816 @t833)) % 1.14/1.36 (define @t835 () (tptp.class_Rings_Olinordered__semiring @t34)) % 1.14/1.36 (define @t836 () (=> @t815 @t833)) % 1.14/1.36 (define @t837 () (tptp.c_Orderings_Oord__class_Oless @t34 @t716 @t822)) % 1.14/1.36 (define @t838 () (=> @t305 @t837)) % 1.14/1.36 (define @t839 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t809 @t808)) % 1.14/1.36 (define @t840 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t44)) % 1.14/1.36 (define @t841 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t840 (tptp.c_Groups_Otimes__class_Otimes @t34 @t111 @t111))) % 1.14/1.36 (define @t842 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t111 @t44)) % 1.14/1.36 (define @t843 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t111 @t288)) % 1.14/1.36 (define @t844 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t111)) % 1.14/1.36 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t796 @t795)) % 1.14/1.36 (define @t846 () (tptp.c_Orderings_Oord__class_Oless @t34 @t796 @t795)) % 1.14/1.36 (define @t847 () (not @t805)) % 1.14/1.36 (define @t848 () (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t727)) % 1.14/1.36 (define @t849 () (not @t806)) % 1.14/1.36 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t34 @t727 @t54)) % 1.14/1.36 (define @t851 () (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t765)) % 1.14/1.36 (define @t852 () (tptp.c_Orderings_Oord__class_Oless @t34 @t765 @t55)) % 1.14/1.36 (define @t853 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t214 @t111)) % 1.14/1.36 (define @t854 () (@list @t214 @t44 @t111 @t34)) % 1.14/1.36 (define @t855 () (@list @t44 @t214 @t111 @t34)) % 1.14/1.36 (define @t856 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t178 @t46)) % 1.14/1.36 (define @t857 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t178 @t39)) % 1.14/1.36 (define @t858 () (=> @t811 (tptp.c_Orderings_Oord__class_Oless @t34 @t857 @t856))) % 1.14/1.36 (define @t859 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t111 @t214)) % 1.14/1.36 (define @t860 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t33 @t111)) % 1.14/1.36 (define @t861 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t214)) % 1.14/1.36 (define @t862 () (not (= @t214 @t70))) % 1.14/1.36 (define @t863 () (not (= @t111 @t70))) % 1.14/1.36 (define @t864 () (@list @t33 @t44 @t214 @t111 @t34)) % 1.14/1.36 (define @t865 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t853)) % 1.14/1.36 (define @t866 () (@list @t111 @t44 @t214 @t34)) % 1.14/1.36 (define @t867 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t865 @t111)) % 1.14/1.36 (define @t868 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t214 @t44)) % 1.14/1.36 (define @t869 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t111 @t214)) % 1.14/1.36 (define @t870 () (= @t154 @t70)) % 1.14/1.36 (define @t871 () (=> @t870 @t204)) % 1.14/1.36 (define @t872 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t154)) % 1.14/1.36 (define @t873 () (not @t870)) % 1.14/1.36 (define @t874 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t54 @t154)) % 1.14/1.36 (define @t875 () (and @t52 @t155)) % 1.14/1.36 (define @t876 () (@list @t153 @t54 @t55 @t34)) % 1.14/1.36 (define @t877 () (=> @t767 @t870)) % 1.14/1.36 (define @t878 () (tptp.c_Groups_Otimes__class_Otimes @t34 @t154 @t241)) % 1.14/1.36 (define @t879 () (@list @t241 @t54 @t153 @t34)) % 1.14/1.36 (define @t880 () (@list @t153 @t241 @t54 @t34)) % 1.14/1.36 (define @t881 () (@list @t55 @t153 @t54 @t34)) % 1.14/1.36 (define @t882 () (@var "V_h" $$unsorted)) % 1.14/1.36 (define @t883 () (= @t44 @t12)) % 1.14/1.36 (define @t884 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t111)) % 1.14/1.36 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t178 @t12)) % 1.14/1.36 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t828 @t44) (tptp.c_Groups_Otimes__class_Otimes @t34 @t166 @t111))) % 1.14/1.36 (define @t887 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t828 @t166) @t288)) % 1.14/1.36 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t166)) % 1.14/1.36 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t828)) % 1.14/1.36 (define @t890 () (@list @t166 @t828 @t111 @t39 @t44 @t34)) % 1.14/1.36 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t727)) % 1.14/1.36 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t727 @t54)) % 1.14/1.36 (define @t893 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t765)) % 1.14/1.36 (define @t894 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t765 @t55)) % 1.14/1.36 (define @t895 () (=> @t811 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t857 @t856))) % 1.14/1.36 (define @t896 () (tptp.c_Orderings_Oord__class_Oless @t34 @t154 @t70)) % 1.14/1.36 (define @t897 () (not @t896)) % 1.14/1.36 (define @t898 () (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t872)) % 1.14/1.36 (define @t899 () (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t154)) % 1.14/1.36 (define @t900 () (not @t899)) % 1.14/1.36 (define @t901 () (tptp.c_Orderings_Oord__class_Oless @t34 @t872 @t54)) % 1.14/1.36 (define @t902 () (and @t163 @t155)) % 1.14/1.36 (define @t903 () (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t878)) % 1.14/1.36 (define @t904 () (tptp.c_Orderings_Oord__class_Oless @t34 @t878 @t54)) % 1.14/1.36 (define @t905 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t445 tptp.c_Transcendental_Opi)) % 1.14/1.36 (define @t906 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t432)) % 1.14/1.36 (define @t907 () (@list @t432 @t44)) % 1.14/1.36 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t872)) % 1.14/1.36 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t872 @t54)) % 1.14/1.36 (define @t910 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t878)) % 1.14/1.36 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t878 @t54)) % 1.14/1.36 (define @t912 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t214 @t214)) % 1.14/1.36 (define @t913 () (@list @t214 @t34)) % 1.14/1.36 (define @t914 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t15 tptp.c_Transcendental_Opi)) % 1.14/1.36 (define @t915 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t44)) % 1.14/1.36 (define @t916 () (tptp.c_RComplete_Onatceiling @t44)) % 1.14/1.36 (define @t917 () (tptp.c_Transcendental_Ocos @t44)) % 1.14/1.36 (define @t918 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t454 @t456)) % 1.14/1.36 (define @t919 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t98) @t458)) % 1.14/1.36 (define @t920 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t98 @t456)) % 1.14/1.36 (define @t921 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t98 @t454)) % 1.14/1.36 (define @t922 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t456 @t98)) % 1.14/1.36 (define @t923 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t454 @t98)) % 1.14/1.36 (define @t924 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t449 @t82)) % 1.14/1.36 (define @t925 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t211 @t82)) % 1.14/1.36 (define @t926 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t82)) % 1.14/1.36 (define @t927 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t449)) % 1.14/1.36 (define @t928 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t211)) % 1.14/1.36 (define @t929 () (tptp.c_Nat_OSuc @t98)) % 1.14/1.36 (define @t930 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t929 @t456)) % 1.14/1.36 (define @t931 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t929 @t454)) % 1.14/1.36 (define @t932 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t214 @t33)) % 1.14/1.36 (define @t933 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t432)) % 1.14/1.36 (define @t934 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t440)) % 1.14/1.36 (define @t935 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t432 @t82)) % 1.14/1.36 (define @t936 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t82)) % 1.14/1.36 (define @t937 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t440)) % 1.14/1.36 (define @t938 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t33 @t558)) % 1.14/1.36 (define @t939 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t33 @t559)) % 1.14/1.36 (define @t940 () (@list @t558 @t559 @t33)) % 1.14/1.36 (define @t941 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t558 @t33)) % 1.14/1.36 (define @t942 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t559 @t33)) % 1.14/1.36 (define @t943 () (and (= @t454 @t412) (= @t456 @t412))) % 1.14/1.36 (define @t944 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t559 @t558)) % 1.14/1.36 (define @t945 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t39)) % 1.14/1.36 (define @t946 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t44)) % 1.14/1.36 (define @t947 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t166 @t596))) % 1.14/1.36 (define @t948 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t598 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t597 @t82))) % 1.14/1.36 (define @t949 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t598 @t597)) % 1.14/1.36 (define @t950 () (or @t471 (= @t98 @t224))) % 1.14/1.36 (define @t951 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t432)) % 1.14/1.36 (define @t952 () (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t70) @t70)) % 1.14/1.36 (define @t953 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t55)) % 1.14/1.36 (define @t954 () (@var "T_1" $$unsorted)) % 1.14/1.36 (define @t955 () (tptp.tc_Polynomial_Opoly @t954)) % 1.14/1.36 (define @t956 () (tptp.class_Groups_Ocancel__comm__monoid__add @t954)) % 1.14/1.36 (define @t957 () (@list @t954)) % 1.14/1.36 (define @t958 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (define @t959 () (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (define @t960 () (tptp.class_Rings_Oidom @t954)) % 1.14/1.36 (define @t961 () (tptp.class_Rings_Olinordered__idom @t954)) % 1.14/1.36 (define @t962 () (tptp.class_Rings_Ocomm__semiring__0 @t954)) % 1.14/1.36 (define @t963 () (tptp.class_Rings_Ocomm__semiring__1 @t954)) % 1.14/1.36 (define @t964 () (tptp.class_Groups_Ocomm__monoid__add @t954)) % 1.14/1.36 (define @t965 () (tptp.class_Groups_Oab__group__add @t954)) % 1.14/1.36 (define @t966 () (tptp.class_Rings_Ocomm__ring__1 @t954)) % 1.14/1.36 (define @t967 () (tptp.class_Rings_Ocomm__ring @t954)) % 1.14/1.36 (define @t968 () (= @t12 @t71)) % 1.14/1.36 (define @t969 () (= @t12 @t644)) % 1.14/1.36 (define @t970 () (not @t958)) % 1.14/1.36 (define @t971 () (or @t970 @t969)) % 1.14/1.36 (define @t972 () (@list false false)) % 1.14/1.36 (define @t973 () (= (= @t54 @t55) (= @t70 @t244))) % 1.14/1.36 (define @t974 () (= @t10 @t17)) % 1.14/1.36 (define @t975 () (= @t642 @t18)) % 1.14/1.36 (define @t976 () (not @t959)) % 1.14/1.36 (define @t977 () (or @t976 (= @t974 @t975))) % 1.14/1.36 (define @t978 () (forall @t61 (or (not @t235) @t973))) % 1.14/1.36 (define @t979 () (@list @t10 @t17 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (define @t980 () (= @t18 @t642)) % 1.14/1.36 (define @t981 () (= @t980 @t974)) % 1.14/1.36 (define @t982 () (or @t976 @t981)) % 1.14/1.36 (define @t983 () (@list false)) % 1.14/1.36 (define @t984 () (@list @t978)) % 1.14/1.36 (define @t985 () (= tptp.v_z____ tptp.v_wa____)) % 1.14/1.36 (define @t986 () (= @t642 @t5)) % 1.14/1.36 (define @t987 () (or @t976 (= @t985 @t986))) % 1.14/1.36 (define @t988 () (= tptp.v_wa____ tptp.v_z____)) % 1.14/1.36 (define @t989 () (= @t5 @t642)) % 1.14/1.36 (define @t990 () (= @t989 @t988)) % 1.14/1.36 (define @t991 () (or @t976 @t990)) % 1.14/1.36 (define @t992 () (= @t115 (not @t238))) % 1.14/1.36 (define @t993 () (not @t986)) % 1.14/1.36 (define @t994 () (= @t21 @t993)) % 1.14/1.36 (define @t995 () (or @t970 @t994)) % 1.14/1.36 (define @t996 () (forall @t81 (or (not @t62) @t992))) % 1.14/1.36 (define @t997 () (not @t989)) % 1.14/1.36 (define @t998 () (= @t21 @t997)) % 1.14/1.36 (define @t999 () (or @t970 @t998)) % 1.14/1.36 (define @t1000 () (not @t22)) % 1.14/1.36 (define @t1001 () (not @t21)) % 1.14/1.36 (define @t1002 () (@list true false)) % 1.14/1.36 (define @t1003 () (not @t998)) % 1.14/1.36 (define @t1004 () (= @t19 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t10 @t17)))) % 1.14/1.36 (define @t1005 () (or @t970 @t1004)) % 1.14/1.36 (define @t1006 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t10 @t10)) % 1.14/1.36 (define @t1007 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1006)) % 1.14/1.36 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t4 (= (tptp.hAPP @t2 @t3) (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.14/1.36 (assume @p2 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.14/1.36 (assume @p3 @t7) % 1.14/1.36 (assume @p4 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t11)) % 1.14/1.36 (assume @p5 (=> @t22 @t20)) % 1.14/1.36 (assume @p6 (forall @t28 (=> (and @t27 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 tptp.v_d____)) @t25))) % 1.14/1.36 (assume @p7 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t16)) % 1.14/1.36 (assume @p8 (exists @t32 (and @t31 @t30))) % 1.14/1.36 (assume @p9 (forall @t38 (=> (and @t37 @t36) (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t35) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t33)))))) % 1.14/1.36 (assume @p10 (forall @t43 (=> @t42 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t40) @t39)))) % 1.14/1.36 (assume @p11 (forall @t45 (=> @t42 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t44 @t40) @t44)))) % 1.14/1.36 (assume @p12 (forall @t53 (=> (and @t52 @t51) @t50))) % 1.14/1.36 (assume @p13 (forall @t61 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t59 @t54) (and @t58 @t57))))) % 1.14/1.36 (assume @p14 (not (forall @t32 (=> @t31 (not @t30))))) % 1.14/1.36 (assume @p15 (forall @t43 (=> @t62 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t48) @t48)))) % 1.14/1.36 (assume @p16 (forall (@list @t44 @t63 @t34) (=> @t66 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.c_Groups_Ouminus__class_Ouminus @t65 @t63)) @t44) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t64))))) % 1.14/1.36 (assume @p17 (forall @t69 (=> @t66 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.c_Groups_Ominus__class_Ominus @t65 @t63 @t67)) @t44) (tptp.c_Groups_Ominus__class_Ominus @t34 @t64 @t68))))) % 1.14/1.36 (assume @p18 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 tptp.v_d____)) % 1.14/1.36 (assume @p19 @t74) % 1.14/1.36 (assume @p20 (forall @t45 (=> @t77 (= (tptp.hAPP @t76 @t44) @t70)))) % 1.14/1.36 (assume @p21 (forall @t81 (=> @t62 (= (= @t80 @t12) @t79)))) % 1.14/1.36 (assume @p22 (forall @t83 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t82 tptp.c_Int_OPls) @t82))) % 1.14/1.36 (assume @p23 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t88 @t87) @t86))) % 1.14/1.36 (assume @p24 (= @t90 tptp.c_Int_OPls)) % 1.14/1.36 (assume @p25 (forall @t83 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t88) (tptp.c_Int_OBit0 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t82))))) % 1.14/1.36 (assume @p26 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t94) @t93))) % 1.14/1.36 (assume @p27 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 @t100) @t99))) % 1.14/1.36 (assume @p28 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.14/1.36 (assume @p29 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t104 @t103) @t93))) % 1.14/1.36 (assume @p30 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 @t105) @t99))) % 1.14/1.36 (assume @p31 (forall @t109 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t107) @t108))) % 1.14/1.36 (assume @p32 (forall @t43 (=> @t110 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t70) @t70)))) % 1.14/1.36 (assume @p33 (forall @t112 (=> @t51 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t70 @t111) @t70)))) % 1.14/1.36 (assume @p34 (forall @t43 (=> @t113 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t70 @t39) @t70)))) % 1.14/1.36 (assume @p35 @t118) % 1.14/1.36 (assume @p36 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t120 @t119) @t86))) % 1.14/1.36 (assume @p37 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t120 @t87) (tptp.c_Int_OBit1 @t85)))) % 1.14/1.36 (assume @p38 (forall @t121 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t87) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t84))))) % 1.14/1.36 (assume @p39 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 tptp.c_Int_OPls) @t122))) % 1.14/1.36 (assume @p40 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t103) @t93))) % 1.14/1.36 (assume @p41 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 @t105) @t99))) % 1.14/1.36 (assume @p42 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 tptp.c_Int_OPls) @t122))) % 1.14/1.36 (assume @p43 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t106) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t98)))) % 1.14/1.36 (assume @p44 (forall @t125 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t56) @t124)))) % 1.14/1.36 (assume @p45 (forall @t73 (=> @t37 (= @t126 @t70)))) % 1.14/1.36 (assume @p46 (forall @t132 (=> @t113 (=> @t131 @t129)))) % 1.14/1.36 (assume @p47 (forall @t132 (=> @t113 (=> @t131 @t134)))) % 1.14/1.36 (assume @p48 (forall @t45 (=> @t62 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t135 @t12))))) % 1.14/1.36 (assume @p49 (forall @t81 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t136 @t70) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 tptp.c_Int_OPls))))) % 1.14/1.36 (assume @p50 (forall @t140 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t139) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t138))))) % 1.14/1.36 (assume @p51 (forall @t45 (=> (and @t52 @t37) (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t44 @t126) @t70)))) % 1.14/1.36 (assume @p52 (forall @t132 (=> @t51 (=> @t131 @t50)))) % 1.14/1.36 (assume @p53 (forall @t45 (=> @t137 (and (=> @t143 (= @t142 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t141))) (=> (not @t143) (= @t142 @t141)))))) % 1.14/1.36 (assume @p54 (forall @t147 (=> @t60 (=> @t146 (=> (not @t144) (tptp.c_Orderings_Oord__class_Oless @t34 @t111 @t44)))))) % 1.14/1.36 (assume @p55 (forall @t152 (=> @t151 (= @t149 @t148)))) % 1.14/1.36 (assume @p56 (forall (@list @t78 @t153 @t34) (=> @t155 (= (= @t154 @t78) (= @t78 @t154))))) % 1.14/1.36 (assume @p57 (forall @t102 (= (= @t101 @t100) @t156))) % 1.14/1.36 (assume @p58 (forall @t102 (= (= @t106 @t105) @t156))) % 1.14/1.36 (assume @p59 (forall (@list @t157 @t158 @t34) (=> @t161 (= (= @t159 (tptp.c_Polynomial_Opoly @t34 @t157)) (= @t158 @t157))))) % 1.14/1.36 (assume @p60 (forall (@list @t107 @t34) (=> @t164 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t107) (tptp.c_Orderings_Oord__class_Oless @t34 @t70 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t107 @t162)))))) % 1.14/1.36 (assume @p61 (forall (@list @t165 @t34) (=> @t164 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t165 @t162)) (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t165))))) % 1.14/1.36 (assume @p62 (forall @t152 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t136 @t139) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t138))))) % 1.14/1.36 (assume @p63 (forall @t169 (=> @t37 (= (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t166 @t33)) @t168)))) % 1.14/1.36 (assume @p64 (forall @t38 (=> @t37 (= @t172 @t170)))) % 1.14/1.36 (assume @p65 (forall @t38 (=> @t37 (= @t170 @t172)))) % 1.14/1.36 (assume @p66 (forall @t177 (=> @t51 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t176 @t173) (tptp.c_Groups_Ominus__class_Ominus @t34 @t175 @t174))))) % 1.14/1.36 (assume @p67 (forall @t182 (=> @t113 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t181 @t178) (tptp.c_Groups_Ominus__class_Ominus @t34 @t180 @t179))))) % 1.14/1.36 (assume @p68 (forall @t83 (not (= @t120 tptp.c_Int_OPls)))) % 1.14/1.36 (assume @p69 (forall @t121 (not (= tptp.c_Int_OPls @t119)))) % 1.14/1.36 (assume @p70 (forall @t89 (not (= @t120 @t87)))) % 1.14/1.36 (assume @p71 (forall @t89 (not (= @t88 @t119)))) % 1.14/1.36 (assume @p72 (forall @t123 (= (= @t106 tptp.c_Int_OPls) (= @t98 tptp.c_Int_OPls)))) % 1.14/1.36 (assume @p73 (forall (@list @t97) (= (= tptp.c_Int_OPls @t105) (= tptp.c_Int_OPls @t97)))) % 1.14/1.36 (assume @p74 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.14/1.36 (assume @p75 @t186) % 1.14/1.36 (assume @p76 (forall @t147 (=> @t51 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t188 @t111) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t187))))) % 1.14/1.36 (assume @p77 (forall @t53 (=> @t113 (= @t133 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t128 @t46))))) % 1.14/1.36 (assume @p78 (forall @t45 (=> @t62 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t188) @t135)))) % 1.14/1.36 (assume @p79 (forall @t109 (and (=> @t189 (= @t108 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t107))) (=> (not @t189) (= @t108 @t107))))) % 1.14/1.36 (assume @p80 (forall (@list @t39) (and (=> @t191 (= @t190 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t39))) (=> (not @t191) (= @t190 @t39))))) % 1.14/1.36 (assume @p81 (forall (@list @t44 @t111 @t34) (=> @t163 (=> @t193 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t192 @t111) (tptp.c_Groups_Oabs__class_Oabs @t34 @t187)))))) % 1.14/1.36 (assume @p82 (forall @t43 (=> @t198 @t197))) % 1.14/1.36 (assume @p83 (forall @t43 (=> (tptp.class_Groups_Oabs__if @t34) (and @t197 (=> (not @t196) @t199))))) % 1.14/1.36 (assume @p84 (forall @t132 (=> @t202 (=> @t131 @t201)))) % 1.14/1.36 (assume @p85 (forall @t43 (=> @t198 (=> @t203 @t199)))) % 1.14/1.36 (assume @p86 (forall @t125 (=> @t198 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t59) (not @t204))))) % 1.14/1.36 (assume @p87 (forall @t43 (=> @t198 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t194 @t70))))) % 1.14/1.36 (assume @p88 (forall @t73 (=> @t37 (= @t70 @t126)))) % 1.14/1.36 (assume @p89 (forall @t43 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t70 @t39) @t128)))) % 1.14/1.36 (assume @p90 (forall @t209 (=> @t202 (=> @t208 (=> @t207 @t206))))) % 1.14/1.36 (assume @p91 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t210) @t210)) % 1.14/1.36 (assume @p92 (forall (@list @t211) (and (=> @t213 (= @t212 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t211))) (=> (not @t213) (= @t212 @t211))))) % 1.14/1.36 (assume @p93 (forall @t216 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t215) @t214))) % 1.14/1.36 (assume @p94 (forall @t218 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t217) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t171)))) % 1.14/1.36 (assume @p95 (forall @t102 (= @t99 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t98 @t97) @t210)))) % 1.14/1.36 (assume @p96 (forall @t219 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t44 @t111) @t145 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t111 @t44)))) % 1.14/1.36 (assume @p97 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t221 @t220) @t99))) % 1.14/1.36 (assume @p98 (forall @t225 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t223) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t222)))) % 1.14/1.36 (assume @p99 (= @t226 @t224)) % 1.14/1.36 (assume @p100 (= @t224 @t226)) % 1.14/1.36 (assume @p101 (forall @t228 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t153) @t210) @t227))) % 1.14/1.36 (assume @p102 (= tptp.c_Int_OPls @t210)) % 1.14/1.36 (assume @p103 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t210))) % 1.14/1.36 (assume @p104 (= @t210 @t229)) % 1.14/1.36 (assume @p105 (forall @t228 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t230 @t210) @t227))) % 1.14/1.36 (assume @p106 (forall @t232 (=> @t161 (= (= @t159 @t76) @t231)))) % 1.14/1.36 (assume @p107 (forall @t45 (=> @t60 (and (=> @t234 (= @t233 (tptp.c_Groups_Ouminus__class_Ouminus @t65 @t44))) (=> (not @t234) (= @t233 @t44)))))) % 1.14/1.36 (assume @p108 (forall @t73 (=> @t235 (= (tptp.c_Groups_Ouminus__class_Ouminus @t65 @t75) @t75)))) % 1.14/1.36 (assume @p109 (forall @t236 (=> @t235 (= (tptp.c_Groups_Ominus__class_Ominus @t65 @t63 @t75) @t63)))) % 1.14/1.36 (assume @p110 (forall @t237 (=> @t235 (= (tptp.c_Groups_Ominus__class_Ominus @t65 @t75 @t67) (tptp.c_Groups_Ouminus__class_Ouminus @t65 @t67))))) % 1.14/1.36 (assume @p111 (forall @t81 (=> @t239 (= @t238 @t79)))) % 1.14/1.36 (assume @p112 (forall @t246 (=> @t235 (=> @t245 (= @t243 @t242))))) % 1.14/1.36 (assume @p113 (forall @t43 (=> @t205 (= (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t128) @t39)))) % 1.14/1.36 (assume @p114 (forall @t61 (=> @t205 (= @t248 (= @t54 @t56))))) % 1.14/1.36 (assume @p115 (forall @t61 (=> @t205 (= (= @t56 @t54) (= @t247 @t55))))) % 1.14/1.36 (assume @p116 (forall @t61 (=> @t205 (= (= @t56 @t247) @t243)))) % 1.14/1.36 (assume @p117 (forall @t252 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t223 @t251) (and (=> @t250 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t249)) @t250)))) % 1.14/1.36 (assume @p118 (forall @t43 (=> @t198 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t194) @t194)))) % 1.14/1.36 (assume @p119 (forall @t43 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t70) @t39)))) % 1.14/1.36 (assume @p120 (forall @t43 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t39) @t70)))) % 1.14/1.36 (assume @p121 @t256) % 1.14/1.36 (assume @p122 (forall @t61 (=> @t205 (= @t253 @t243)))) % 1.14/1.36 (assume @p123 (forall @t246 (=> @t257 (=> @t245 (= @t58 (tptp.c_Orderings_Oord__class_Oless @t34 @t241 @t240)))))) % 1.14/1.36 (assume @p124 (forall @t73 (=> @t205 (= (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t70) @t70)))) % 1.14/1.36 (assume @p125 (forall @t125 (=> @t205 (= (= @t70 @t56) (= @t70 @t55))))) % 1.14/1.36 (assume @p126 (forall @t125 (=> @t258 (= (= @t55 @t56) @t204)))) % 1.14/1.36 (assume @p127 (forall @t125 (=> @t205 (= (= @t56 @t70) @t204)))) % 1.14/1.36 (assume @p128 (forall @t125 (=> @t258 (= (= @t56 @t55) @t204)))) % 1.14/1.36 (assume @p129 (forall @t61 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t247) (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t56))))) % 1.14/1.36 (assume @p130 (forall @t61 (=> @t257 (= @t57 (tptp.c_Orderings_Oord__class_Oless @t34 @t247 @t55))))) % 1.14/1.36 (assume @p131 (forall @t259 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t247 @t56) @t58)))) % 1.14/1.36 (assume @p132 (forall @t53 (=> @t235 (= @t260 @t183)))) % 1.14/1.36 (assume @p133 (forall @t73 (=> @t198 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t70) @t70)))) % 1.14/1.36 (assume @p134 (forall @t125 (=> @t198 (= (= @t59 @t70) @t204)))) % 1.14/1.36 (assume @p135 (forall @t53 (=> @t52 @t134))) % 1.14/1.36 (assume @p136 (forall @t53 (=> @t52 @t129))) % 1.14/1.36 (assume @p137 (forall @t53 (=> @t198 (= @t262 @t261)))) % 1.14/1.36 (assume @p138 (forall @t43 (=> @t198 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t128) @t194)))) % 1.14/1.36 (assume @p139 (forall @t53 (=> @t163 @t201))) % 1.14/1.36 (assume @p140 (forall @t61 (=> @t257 (= @t58 (tptp.c_Orderings_Oord__class_Oless @t34 @t244 @t70))))) % 1.14/1.36 (assume @p141 (forall @t125 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t56) @t124)))) % 1.14/1.36 (assume @p142 (forall @t125 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t56 @t70) @t263)))) % 1.14/1.36 (assume @p143 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t56 @t55) @t263)))) % 1.14/1.36 (assume @p144 (forall @t61 (=> @t163 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t266) (or (and @t263 @t265) (and @t124 @t264)))))) % 1.14/1.36 (assume @p145 (forall @t61 (=> @t163 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t266 @t70) (or (and @t263 @t264) (and @t124 @t265)))))) % 1.14/1.36 (assume @p146 (forall @t147 (=> @t202 (=> @t268 (=> @t193 @t267))))) % 1.14/1.36 (assume @p147 (forall @t147 (=> @t202 (=> @t268 (=> @t270 @t269))))) % 1.14/1.36 (assume @p148 (forall @t147 (=> @t202 (=> @t271 (=> @t193 @t269))))) % 1.14/1.36 (assume @p149 (forall @t147 (=> @t202 (=> @t271 (=> @t270 @t267))))) % 1.14/1.36 (assume @p150 (forall @t182 (=> @t202 (=> @t273 (=> @t272 @t206))))) % 1.14/1.36 (assume @p151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t274)) % 1.14/1.36 (assume @p152 (forall (@list @t275) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t275) (exists @t279 (forall @t278 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t277 @t276) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.v_g____ (tptp.hAPP tptp.v_f____ @t276)) tptp.v_z____)) @t275))))))) % 1.14/1.36 (assume @p153 (forall @t53 (=> @t235 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t128 @t127) @t260)))) % 1.14/1.36 (assume @p154 (forall (@list @t63 @t214 @t280) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t280) (exists @t32 (and @t31 (forall @t28 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t282) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t282 @t29)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP @t281 @t23) (tptp.hAPP @t281 @t214))) @t280)))))))) % 1.14/1.36 (assume @p155 (forall (@list @t55 @t158 @t34) (=> @t160 (= (= (tptp.hAPP @t159 @t55) @t70) (or @t231 (not (= (tptp.c_Polynomial_Oorder @t34 @t55 @t158) @t224))))))) % 1.14/1.36 (assume @p156 (forall @t219 (=> @t285 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t284)))) % 1.14/1.36 (assume @p157 (forall @t219 (=> @t285 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t284 @t111)))) % 1.14/1.36 (assume @p158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t12)) % 1.14/1.36 (assume @p159 (forall @t232 (=> @t239 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t34 @t158) @t224) @t231)))) % 1.14/1.36 (assume @p160 (forall @t73 (=> @t164 (tptp.c_Orderings_Oord__class_Oless @t34 @t70 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t288 @t162))))) % 1.14/1.36 (assume @p161 (not (= @t210 @t289))) % 1.14/1.36 (assume @p162 (forall @t53 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t291) @t290)))) % 1.14/1.36 (assume @p163 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t293) @t292)))) % 1.14/1.36 (assume @p164 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t293 @t70) @t294)))) % 1.14/1.36 (assume @p165 (forall @t53 (=> @t297 (=> @t296 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t291)))))) % 1.14/1.36 (assume @p166 (forall @t152 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t78) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t138) (= @t300 @t299)))))) % 1.14/1.36 (assume @p167 (forall @t182 (=> @t297 (=> @t296 (=> @t303 @t302))))) % 1.14/1.36 (assume @p168 (forall @t306 (=> @t297 (=> @t305 (=> @t304 @t302))))) % 1.14/1.36 (assume @p169 (forall @t53 (=> @t297 (=> @t308 (=> @t307 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t291 @t70)))))) % 1.14/1.36 (assume @p170 (forall @t314 (=> @t313 (=> @t273 (=> @t312 @t311))))) % 1.14/1.36 (assume @p171 (forall @t314 (=> @t313 (=> @t317 @t316)))) % 1.14/1.36 (assume @p172 (forall @t322 (=> @t321 (=> @t320 @t317)))) % 1.14/1.36 (assume @p173 (forall @t325 (=> @t321 (=> @t324 @t317)))) % 1.14/1.36 (assume @p174 (forall @t209 (=> @t327 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t46 @t39) @t319) @t326)))) % 1.14/1.36 (assume @p175 (forall @t182 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t34) @t328))) % 1.14/1.36 (assume @p176 (forall @t182 (=> @t327 @t328))) % 1.14/1.36 (assume @p177 (forall @t314 (=> @t329 (=> @t317 (=> @t312 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t301 @t310)))))) % 1.14/1.36 (assume @p178 (forall @t182 (=> @t329 (=> @t317 @t320)))) % 1.14/1.36 (assume @p179 (forall @t182 (=> @t329 (=> @t317 @t324)))) % 1.14/1.36 (assume @p180 (forall @t333 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t332 @t331) @t330)))) % 1.14/1.36 (assume @p181 (forall @t336 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t335 @t334) @t330)))) % 1.14/1.36 (assume @p182 (forall (@list @t241 @t55 @t54 @t34) (=> @t327 (= (= @t338 @t332) @t337)))) % 1.14/1.36 (assume @p183 (forall @t340 (=> @t327 (= (= @t339 @t335) @t337)))) % 1.14/1.36 (assume @p184 (forall @t182 (=> (tptp.class_Groups_Oab__semigroup__add @t34) @t342))) % 1.14/1.36 (assume @p185 (forall @t81 (=> (tptp.class_Groups_Oone @t34) (= (= @t288 @t78) @t343)))) % 1.14/1.36 (assume @p186 (forall @t43 (=> @t345 (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t344)))) % 1.14/1.36 (assume @p187 (forall @t73 (=> @t345 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t288)))) % 1.14/1.36 (assume @p188 (forall @t73 (=> @t345 (not (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t288 @t70))))) % 1.14/1.36 (assume @p189 (forall @t348 (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t167 (tptp.c_Groups_Oplus__class_Oplus @t34 @t35 @t214)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t347 @t214))))) % 1.14/1.36 (assume @p190 (forall @t169 (=> @t37 (= @t349 @t347)))) % 1.14/1.36 (assume @p191 (forall @t169 (=> @t37 (= @t347 @t349)))) % 1.14/1.36 (assume @p192 (forall @t152 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t136 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t78 @t138))))) % 1.14/1.36 (assume @p193 (forall @t73 (=> @t36 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t288) @t350)))) % 1.14/1.36 (assume @p194 (forall @t83 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t82) @t82))) % 1.14/1.36 (assume @p195 (forall @t69 (=> @t77 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t351) @t44) (tptp.c_Groups_Oplus__class_Oplus @t34 @t64 @t68))))) % 1.14/1.36 (assume @p196 (forall @t45 (=> @t352 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.c_Groups_Oone__class_Oone @t65)) @t44) @t288)))) % 1.14/1.36 (assume @p197 (not (= tptp.c_Transcendental_Opi @t12))) % 1.14/1.36 (assume @p198 (forall @t353 (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t167 @t288) (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t166 @t13)))))) % 1.14/1.36 (assume @p199 (forall @t38 (=> @t37 (= @t354 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t33)))))) % 1.14/1.36 (assume @p200 (forall @t81 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t136 @t288) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t78 @t13))))) % 1.14/1.36 (assume @p201 (forall @t140 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t288 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t138))))) % 1.14/1.36 (assume @p202 (forall @t53 (=> @t297 (=> @t203 (=> @t295 @t355))))) % 1.14/1.36 (assume @p203 (forall @t53 (=> @t297 (=> @t296 @t357)))) % 1.14/1.36 (assume @p204 (forall @t182 (=> @t297 (=> @t203 (=> @t303 @t358))))) % 1.14/1.36 (assume @p205 (forall @t182 (=> @t297 (=> @t296 @t359)))) % 1.14/1.36 (assume @p206 (forall @t53 (=> @t297 (=> @t196 (=> @t307 @t360))))) % 1.14/1.36 (assume @p207 (forall @t53 (=> @t297 (=> @t308 @t362)))) % 1.14/1.36 (assume @p208 (forall @t73 (=> @t345 (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t363)))) % 1.14/1.36 (assume @p209 (forall (@list @t178 @t33 @t166 @t34) (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t167 (tptp.c_Groups_Ominus__class_Ominus @t34 @t35 @t178)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t347 @t178))))) % 1.14/1.36 (assume @p210 (forall @t53 (=> @t202 (=> @t273 (tptp.c_Orderings_Oord__class_Oless @t34 @t364 @t46))))) % 1.14/1.36 (assume @p211 (forall @t53 (=> @t202 (=> @t273 (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t364))))) % 1.14/1.36 (assume @p212 (forall @t38 (=> @t37 (= @t365 (tptp.c_Groups_Oplus__class_Oplus @t34 @t354 @t35))))) % 1.14/1.36 (assume @p213 (forall @t314 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t369) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t367) (tptp.c_Groups_Oabs__class_Oabs @t34 @t366)))))) % 1.14/1.36 (assume @p214 (forall @t53 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t262 @t290)))) % 1.14/1.36 (assume @p215 (forall @t376 (=> @t62 (=> @t375 (=> @t374 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t372 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t107 @t370))))))) % 1.14/1.36 (assume @p216 (forall @t378 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t377 @t350) @t44)))) % 1.14/1.36 (assume @p217 (forall @t125 (=> @t258 (= (= @t293 @t70) @t204)))) % 1.14/1.36 (assume @p218 (forall @t43 (=> @t380 @t379))) % 1.14/1.36 (assume @p219 (forall @t43 (=> @t381 @t379))) % 1.14/1.36 (assume @p220 (forall @t125 (=> @t258 (= (= @t70 @t293) @t204)))) % 1.14/1.36 (assume @p221 (forall @t43 (=> @t380 @t382))) % 1.14/1.36 (assume @p222 (forall @t43 (=> @t381 @t382))) % 1.14/1.36 (assume @p223 (forall @t322 (=> @t321 (=> @t383 @t273)))) % 1.14/1.36 (assume @p224 (forall @t325 (=> @t321 (=> @t384 @t273)))) % 1.14/1.36 (assume @p225 (forall @t314 (=> @t313 (=> @t273 @t316)))) % 1.14/1.36 (assume @p226 (forall @t182 (=> @t313 (=> @t273 @t383)))) % 1.14/1.36 (assume @p227 (forall @t182 (=> @t313 (=> @t273 @t384)))) % 1.14/1.36 (assume @p228 (forall @t333 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t332 @t331) @t58)))) % 1.14/1.36 (assume @p229 (forall @t336 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t335 @t334) @t58)))) % 1.14/1.36 (assume @p230 (forall @t53 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t291 @t46) @t39)))) % 1.14/1.36 (assume @p231 (forall @t53 (=> @t205 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t181 @t46) @t39)))) % 1.14/1.36 (assume @p232 (forall @t73 (=> @t385 (not (= @t288 @t70))))) % 1.14/1.36 (assume @p233 (forall @t73 (=> @t385 (not (= @t70 @t288))))) % 1.14/1.36 (assume @p234 (forall @t53 (=> @t205 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t128 @t291) @t46)))) % 1.14/1.36 (assume @p235 (forall @t53 (=> @t205 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 (tptp.c_Groups_Oplus__class_Oplus @t34 @t128 @t46)) @t46)))) % 1.14/1.36 (assume @p236 (forall @t53 (=> @t205 (= @t386 (tptp.c_Groups_Oplus__class_Oplus @t34 @t127 @t128))))) % 1.14/1.36 (assume @p237 (forall @t53 (=> @t235 (= @t386 (tptp.c_Groups_Oplus__class_Oplus @t34 @t128 @t127))))) % 1.14/1.36 (assume @p238 (forall @t177 (=> @t51 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t371 @t173) (tptp.c_Groups_Oplus__class_Oplus @t34 @t175 @t174))))) % 1.14/1.36 (assume @p239 (forall @t182 (=> @t113 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t291 @t178) (tptp.c_Groups_Oplus__class_Oplus @t34 @t180 @t179))))) % 1.14/1.36 (assume @p240 (forall @t246 (=> @t257 (=> @t245 (= @t330 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t241 @t240)))))) % 1.14/1.36 (assume @p241 (forall @t53 (=> @t257 (=> @t317 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t127 @t128))))) % 1.14/1.36 (assume @p242 (forall @t259 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t247 @t56) @t330)))) % 1.14/1.36 (assume @p243 (forall @t61 (=> @t257 (= @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t247 @t55))))) % 1.14/1.36 (assume @p244 (forall @t61 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t247) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t56))))) % 1.14/1.36 (assume @p245 (forall @t53 (=> @t198 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t290) @t290)))) % 1.14/1.36 (assume @p246 (forall @t43 (=> @t113 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t39 @t288) @t39)))) % 1.14/1.36 (assume @p247 (forall @t53 (=> @t198 (=> @t388 @t317)))) % 1.14/1.36 (assume @p248 (forall @t43 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t194)))) % 1.14/1.36 (assume @p249 (forall @t73 (=> @t60 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t288) @t288)))) % 1.14/1.36 (assume @p250 (not (= @t12 @t350))) % 1.14/1.36 (assume @p251 (forall @t390 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t389) @t289) (= @t389 @t210)))) % 1.14/1.36 (assume @p252 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t210 @t289)) % 1.14/1.36 (assume @p253 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t12))) % 1.14/1.36 (assume @p254 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 tptp.c_Transcendental_Opi)) % 1.14/1.36 (assume @p255 (forall @t81 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t136 @t70) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t78 tptp.c_Int_OPls))))) % 1.14/1.36 (assume @p256 (forall @t140 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t139) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t138))))) % 1.14/1.36 (assume @p257 (forall (@list @t33 @t178 @t166 @t34) (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t167 (tptp.c_Groups_Ominus__class_Ominus @t34 @t178 @t35)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t392 @t178))))) % 1.14/1.36 (assume @p258 (forall @t378 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t350 @t377)))) % 1.14/1.36 (assume @p259 (forall @t73 (=> @t37 (= @t363 @t162)))) % 1.14/1.36 (assume @p260 (forall @t125 (=> @t60 @t393))) % 1.14/1.36 (assume @p261 (forall @t182 (=> @t345 (=> @t203 @t359)))) % 1.14/1.36 (assume @p262 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t293) @t263)))) % 1.14/1.36 (assume @p263 (forall @t125 (=> @t258 @t393))) % 1.14/1.36 (assume @p264 (forall @t53 (=> @t297 (=> @t203 @t357)))) % 1.14/1.36 (assume @p265 (forall @t53 (=> @t297 (=> @t196 @t362)))) % 1.14/1.36 (assume @p266 (forall @t43 (=> @t205 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t128) @t70)))) % 1.14/1.36 (assume @p267 (forall @t61 (=> @t205 (= @t248 (= @t339 @t70))))) % 1.14/1.36 (assume @p268 (forall @t43 (=> @t205 @t394))) % 1.14/1.36 (assume @p269 (forall @t43 (=> @t235 @t394))) % 1.14/1.36 (assume @p270 (forall @t152 (=> @t205 (= @t300 (= @t138 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t78)))))) % 1.14/1.36 (assume @p271 (forall @t53 (=> @t205 (=> (= @t291 @t70) (= @t128 @t46))))) % 1.14/1.36 (assume @p272 (forall @t73 (=> @t345 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t288 @t70))))) % 1.14/1.36 (assume @p273 (forall @t73 (=> @t345 (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t288)))) % 1.14/1.36 (assume @p274 (forall @t53 (=> @t205 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t127) @t291)))) % 1.14/1.36 (assume @p275 (forall @t53 (=> @t235 @t395))) % 1.14/1.36 (assume @p276 (forall @t53 (=> @t205 @t395))) % 1.14/1.36 (assume @p277 (forall @t43 (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t126 @t39) @t39)))) % 1.14/1.36 (assume @p278 (forall @t43 (=> @t37 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t126) @t39)))) % 1.14/1.36 (assume @p279 (forall @t61 (=> @t257 (= @t330 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t244 @t70))))) % 1.14/1.36 (assume @p280 (forall (@list @t153 @t222 @t34) (=> (and @t155 (tptp.class_Orderings_Olinorder @t34)) (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t396 @t154) (not (tptp.c_Orderings_Oord__class_Oless @t34 @t154 @t396)))))) % 1.14/1.36 (assume @p281 (forall @t125 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t56) @t294)))) % 1.14/1.36 (assume @p282 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t56) @t294)))) % 1.14/1.36 (assume @p283 (forall @t125 (=> @t257 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t56 @t70) @t292)))) % 1.14/1.36 (assume @p284 (forall @t125 (=> @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t56 @t55) @t292)))) % 1.14/1.36 (assume @p285 (forall @t61 (=> @t163 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t266) @t399)))) % 1.14/1.36 (assume @p286 (forall @t61 (=> @t163 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t266 @t70) @t400)))) % 1.14/1.36 (assume @p287 (forall @t182 (=> @t163 (=> @t317 (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t180 @t179)))))) % 1.14/1.36 (assume @p288 (forall @t182 (=> @t163 (=> @t317 (=> @t401 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t179 @t180)))))) % 1.14/1.36 (assume @p289 (forall @t43 (=> @t110 (and (=> @t403 (= @t402 @t70)) @t405)))) % 1.14/1.36 (assume @p290 (forall @t43 (=> @t113 @t405))) % 1.14/1.36 (assume @p291 (forall @t259 (=> @t113 (=> (not @t406) (= (= @t266 @t288) @t243))))) % 1.14/1.36 (assume @p292 (forall @t43 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t194)))) % 1.14/1.36 (assume @p293 (forall @t125 (=> @t198 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t59 @t70) @t204)))) % 1.14/1.36 (assume @p294 (forall @t43 (=> @t198 (=> @t296 @t199)))) % 1.14/1.36 (assume @p295 (forall @t53 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t407 @t261)))) % 1.14/1.36 (assume @p296 (forall @t53 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t407 @t262)))) % 1.14/1.36 (assume @p297 (forall @t53 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t407) @t262)))) % 1.14/1.36 (assume @p298 (forall @t53 (=> @t198 (=> @t388 @t408)))) % 1.14/1.36 (assume @p299 (forall @t53 (=> @t198 (=> @t317 (=> @t408 @t388))))) % 1.14/1.36 (assume @p300 (forall @t61 (=> @t198 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t59 @t54) (and @t330 @t387))))) % 1.14/1.36 (assume @p301 (forall @t43 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t128 @t194)))) % 1.14/1.36 (assume @p302 (forall @t411 (= (= @t410 @t12) (= @t138 @t409)))) % 1.14/1.36 (assume @p303 (forall (@list @t55 @t78) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t78 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t55)) @t12) (= @t78 @t55)))) % 1.14/1.36 (assume @p304 (= @t413 @t412)) % 1.14/1.36 (assume @p305 (= @t412 @t413)) % 1.14/1.36 (assume @p306 (= @t289 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t13))) % 1.14/1.36 (assume @p307 (forall @t219 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t44 @t111) @t414))) % 1.14/1.36 (assume @p308 (forall (@list @t370 @t107) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t107 @t370) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t107 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t370))))) % 1.14/1.36 (assume @p309 (forall @t219 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t414) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t111 @t415))))) % 1.14/1.36 (assume @p310 (forall @t38 (=> @t37 (= @t416 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t70 @t35) @t35))))) % 1.14/1.36 (assume @p311 (forall @t147 (=> @t202 (=> @t418 (=> @t270 @t417))))) % 1.14/1.36 (assume @p312 (forall @t147 (=> @t202 (=> @t418 (=> @t193 @t419))))) % 1.14/1.36 (assume @p313 (forall @t426 (=> @t202 (=> @t425 (=> @t424 (=> @t423 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t421 @t420)))))))) % 1.14/1.36 (assume @p314 (forall @t426 (=> @t202 (=> @t425 (=> @t144 (=> @t423 (=> @t422 @t427))))))) % 1.14/1.36 (assume @p315 (forall @t426 (=> @t202 (=> @t268 (=> @t424 (=> @t423 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t214) @t427))))))) % 1.14/1.36 (assume @p316 (forall @t147 (=> @t202 (=> @t425 (=> @t270 @t419))))) % 1.14/1.36 (assume @p317 (forall @t147 (=> @t202 (=> @t425 (=> @t193 @t417))))) % 1.14/1.36 (assume @p318 (forall @t43 (=> @t198 (=> @t308 @t195)))) % 1.14/1.36 (assume @p319 (forall @t43 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t194) @t70)))) % 1.14/1.36 (assume @p320 (forall @t73 (=> @t37 (= @t40 @t288)))) % 1.14/1.36 (assume @p321 (forall @t73 (=> @t37 (= @t288 @t40)))) % 1.14/1.36 (assume @p322 (forall @t411 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t410 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t138 @t409)))) % 1.14/1.36 (assume @p323 (forall @t411 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t410) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t409 @t138)))) % 1.14/1.36 (assume @p324 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t428)) % 1.14/1.36 (assume @p325 (not (= @t286 @t15))) % 1.14/1.36 (assume @p326 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t286 @t15)) % 1.14/1.36 (assume @p327 (not (= @t286 @t12))) % 1.14/1.36 (assume @p328 (forall @t81 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t136 @t288) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t13))))) % 1.14/1.36 (assume @p329 (forall @t140 (=> @t137 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t288 @t139) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t138))))) % 1.14/1.36 (assume @p330 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t286)) % 1.14/1.36 (assume @p331 (forall @t430 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t46 @t39) @t15) @t39) @t429))) % 1.14/1.36 (assume @p332 (forall (@list @t46 @t39) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t46) @t15) @t39) @t429))) % 1.14/1.36 (assume @p333 (forall @t378 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t431 @t431) @t44))) % 1.14/1.36 (assume @p334 (forall @t433 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t432))) % 1.14/1.36 (assume @p335 (forall @t433 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t224)))) % 1.14/1.36 (assume @p336 (forall @t278 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t436)) @t435))) % 1.14/1.36 (assume @p337 (forall (@list @t165 @t55 @t78 @t34) (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t78 @t55)) @t165) (and (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t55 @t165) @t78) (tptp.c_Orderings_Oord__class_Oless @t34 @t78 (tptp.c_Groups_Oplus__class_Oplus @t34 @t55 @t165))))))) % 1.14/1.36 (assume @p338 (forall @t147 (=> @t437 (= @t176 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t111)))))) % 1.14/1.36 (assume @p339 @t438) % 1.14/1.36 (assume @p340 (forall @t444 (=> @t443 @t442))) % 1.14/1.36 (assume @p341 (forall @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t439))) % 1.14/1.36 (assume @p342 (forall @t433 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t445))) % 1.14/1.36 (assume @p343 (forall @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t439))) % 1.14/1.36 (assume @p344 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t436) tptp.v_r))) % 1.14/1.36 (assume @p345 (forall @t446 (not (= @t224 @t441)))) % 1.14/1.36 (assume @p346 (forall (@list @t447) (not (= @t224 (tptp.c_Nat_OSuc @t447))))) % 1.14/1.36 (assume @p347 (forall @t446 (not (= @t441 @t224)))) % 1.14/1.36 (assume @p348 (forall (@list @t448) (not (= (tptp.c_Nat_OSuc @t448) @t224)))) % 1.14/1.36 (assume @p349 (forall (@list @t449 @t211) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t450 @t211)))) % 1.14/1.36 (assume @p350 (forall (@list @t211 @t449) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t451 @t211)))) % 1.14/1.36 (assume @p351 (= @t412 @t452)) % 1.14/1.36 (assume @p352 (forall @t453 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t211 @t440))))) % 1.14/1.36 (assume @p353 (forall @t453 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t211))))) % 1.14/1.36 (assume @p354 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t452) @t350)) % 1.14/1.36 (assume @p355 (forall @t459 (= (not @t458) @t457))) % 1.14/1.36 (assume @p356 (forall @t433 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t432) @t432))) % 1.14/1.36 (assume @p357 (forall @t446 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t224) @t440))) % 1.14/1.36 (assume @p358 (forall @t444 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t441))) % 1.14/1.36 (assume @p359 (forall @t459 (= @t458 (exists @t463 (= @t456 (tptp.c_Nat_OSuc @t462)))))) % 1.14/1.36 (assume @p360 (forall @t467 (=> @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t211 @t465) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t464 @t449))))) % 1.14/1.36 (assume @p361 (forall @t444 (and (=> @t470 (= @t469 @t432)) (=> (not @t470) (= @t469 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t468 @t432))))))) % 1.14/1.36 (assume @p362 (forall @t444 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t439) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t468 @t432)))) % 1.14/1.36 (assume @p363 (forall @t459 (= @t474 @t472))) % 1.14/1.36 (assume @p364 (forall @t476 (= @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t153 @t389)))) % 1.14/1.36 (assume @p365 (forall @t478 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t477) @t224))) % 1.14/1.36 (assume @p366 (forall @t483 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t480 @t482) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t481 @t479)))) % 1.14/1.36 (assume @p367 (forall @t459 (= (= @t452 @t489) @t488))) % 1.14/1.36 (assume @p368 (forall @t433 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t439 @t412) @t432))) % 1.14/1.36 (assume @p369 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t455 @t473) @t458))) % 1.14/1.36 (assume @p370 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t153 @t289) @t389) @t490))) % 1.14/1.36 (assume @p371 (forall @t459 (= (= @t489 @t224) (and @t485 @t486)))) % 1.14/1.36 (assume @p372 (forall (@list @t480 @t98 @t479) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t482 @t480) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t479 @t481)))) % 1.14/1.36 (assume @p373 (forall @t459 (= (= @t489 @t452) @t488))) % 1.14/1.36 (assume @p374 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t492 @t491) @t458))) % 1.14/1.36 (assume @p375 (forall @t497 (=> (not @t496) @t495))) % 1.14/1.36 (assume @p376 (forall @t444 (=> @t499 @t498))) % 1.14/1.36 (assume @p377 (forall @t478 (=> (not @t501) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t441) @t500)))) % 1.14/1.36 (assume @p378 (forall @t444 (=> @t443 @t502))) % 1.14/1.36 (assume @p379 (forall @t505 (=> @t504 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t503)))) % 1.14/1.36 (assume @p380 (forall @t505 (=> @t504 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t506)))) % 1.14/1.36 (assume @p381 (forall (@list @t440 @t432 @t82) (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t477 @t82))))) % 1.14/1.36 (assume @p382 (forall @t508 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t33 @t214) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t33 @t289) @t214)))) % 1.14/1.36 (assume @p383 (forall @t510 (=> @t504 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t464 @t509)))) % 1.14/1.36 (assume @p384 (forall @t514 (=> @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t513) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 @t511))))) % 1.14/1.36 (assume @p385 (forall @t478 (=> @t515 @t498))) % 1.14/1.36 (assume @p386 (forall @t467 (=> @t466 (= @t517 @t516)))) % 1.14/1.36 (assume @p387 (forall (@list @t480 @t479 @t98) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t479) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t480 @t482) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t481 @t479))))) % 1.14/1.36 (assume @p388 (forall @t478 (=> @t515 (= @t518 (tptp.c_Nat_OSuc @t460))))) % 1.14/1.36 (assume @p389 (forall @t514 (=> @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t513 @t440) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t511 @t519))))) % 1.14/1.36 (assume @p390 (forall @t478 (=> @t515 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t460 @t432) @t440)))) % 1.14/1.36 (assume @p391 (forall @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t480 @t479) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t479 @t480) @t98) (= @t479 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t480)))))) % 1.14/1.36 (assume @p392 (forall @t467 (=> @t466 (= @t516 @t517)))) % 1.14/1.36 (assume @p393 (forall @t467 (=> @t466 (= @t521 @t520)))) % 1.14/1.36 (assume @p394 (forall @t467 (=> @t466 (= @t520 @t521)))) % 1.14/1.36 (assume @p395 (forall @t444 (=> @t443 (=> (not (= @t441 @t432)) @t522)))) % 1.14/1.36 (assume @p396 (forall @t510 (=> @t504 (=> @t524 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t82))))) % 1.14/1.36 (assume @p397 (forall @t527 (=> @t504 (=> @t526 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t464 @t525))))) % 1.14/1.36 (assume @p398 (forall (@list @t214 @t529 @t33 @t530) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t530 @t33) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t529 @t214) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t530 @t529) @t528))))) % 1.14/1.36 (assume @p399 (forall (@list @t432 @t440 @t84 @t82) (=> @t526 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t84) @t531) @t443)))) % 1.14/1.36 (assume @p400 (forall @t444 (=> @t502 (=> @t499 @t500)))) % 1.14/1.36 (assume @p401 (forall @t444 (=> @t522 @t443))) % 1.14/1.36 (assume @p402 (forall @t444 (=> @t442 @t443))) % 1.14/1.36 (assume @p403 (forall @t444 (=> (= @t469 @t440) @t532))) % 1.14/1.36 (assume @p404 (forall @t510 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t450 @t82) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t82)))) % 1.14/1.36 (assume @p405 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t535 @t534) @t533))) % 1.14/1.36 (assume @p406 (forall @t444 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t469) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t536 @t445)))) % 1.14/1.36 (assume @p407 (forall @t433 (= @t538 @t537))) % 1.14/1.36 (assume @p408 (forall @t433 (= @t439 @t539))) % 1.14/1.36 (assume @p409 (forall @t433 (= @t439 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t432)))) % 1.14/1.36 (assume @p410 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t412) @t350)) % 1.14/1.36 (assume @p411 (forall @t433 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t432)))) % 1.14/1.36 (assume @p412 (forall @t478 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t469))) % 1.14/1.36 (assume @p413 (forall @t478 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t477))) % 1.14/1.36 (assume @p414 (forall @t459 (= (not @t541) @t540))) % 1.14/1.36 (assume @p415 (forall @t459 (= @t541 (exists @t463 (= @t456 @t462))))) % 1.14/1.36 (assume @p416 (forall @t444 (= @t543 @t542))) % 1.14/1.36 (assume @p417 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t473) (or @t541 (= @t454 @t473))))) % 1.14/1.36 (assume @p418 (forall @t444 (= @t544 @t542))) % 1.14/1.36 (assume @p419 (forall @t444 (= @t544 @t543))) % 1.14/1.36 (assume @p420 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t455) @t533))) % 1.14/1.36 (assume @p421 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t492 @t491) @t541))) % 1.14/1.36 (assume @p422 (forall @t444 (=> @t546 @t545))) % 1.14/1.36 (assume @p423 (forall @t505 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t503)))) % 1.14/1.36 (assume @p424 (forall @t505 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t506)))) % 1.14/1.36 (assume @p425 (forall @t510 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t464 @t509)))) % 1.14/1.36 (assume @p426 (forall @t527 (=> @t547 (=> @t548 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t464 @t525))))) % 1.14/1.36 (assume @p427 (forall @t444 (=> @t545 (=> (not @t546) (= @t440 @t439))))) % 1.14/1.36 (assume @p428 (forall @t444 (=> @t549 @t546))) % 1.14/1.36 (assume @p429 (forall @t551 (=> @t550 @t507))) % 1.14/1.36 (assume @p430 (forall @t551 (=> @t550 @t546))) % 1.14/1.36 (assume @p431 (forall @t551 (=> @t550 (not (=> @t546 (not @t507)))))) % 1.14/1.36 (assume @p432 (forall @t555 (=> @t554 (=> @t553 @t552)))) % 1.14/1.36 (assume @p433 (forall @t510 (=> @t556 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t449 @t82) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t211 @t82))))) % 1.14/1.36 (assume @p434 (forall @t510 (=> @t556 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 @t211) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 @t449))))) % 1.14/1.36 (assume @p435 (forall @t561 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t560 @t557) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t559 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t558 @t557))))) % 1.14/1.36 (assume @p436 (forall @t562 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t111 @t214)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t111 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 @t214))))) % 1.14/1.36 (assume @p437 (forall @t555 (or @t554 @t553))) % 1.14/1.36 (assume @p438 (forall @t555 (= @t563 @t528))) % 1.14/1.36 (assume @p439 (forall @t218 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t33 @t33))) % 1.14/1.36 (assume @p440 (forall @t219 (=> (= (tptp.c_Nat_OSuc @t44) (tptp.c_Nat_OSuc @t111)) @t145))) % 1.14/1.36 (assume @p441 (forall (@list @t564 @t565) (= (= (tptp.c_Nat_OSuc @t565) (tptp.c_Nat_OSuc @t564)) (= @t565 @t564)))) % 1.14/1.36 (assume @p442 (forall @t433 (not (= @t439 @t432)))) % 1.14/1.36 (assume @p443 (forall @t433 (not (= @t432 @t439)))) % 1.14/1.36 (assume @p444 (forall @t497 (= (= @t535 @t534) @t494))) % 1.14/1.36 (assume @p445 (forall @t566 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t518 (tptp.c_Nat_OSuc @t82)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t82)))) % 1.14/1.36 (assume @p446 (forall @t444 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t441 @t439) @t460))) % 1.14/1.36 (assume @p447 (forall @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t538))) % 1.14/1.36 (assume @p448 (forall @t567 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t535 @t12) @t486))) % 1.14/1.36 (assume @p449 (forall @t497 (= @t496 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t535 @t350) @t534)))) % 1.14/1.36 (assume @p450 (forall @t216 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t214) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t210 @t568)))) % 1.14/1.36 (assume @p451 (forall @t508 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t33) (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 @t33 @t214)) @t569)))) % 1.14/1.36 (assume @p452 (forall @t83 (= @t120 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t289 @t82) @t82)))) % 1.14/1.36 (assume @p453 (forall @t216 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t214 @t210) @t214))) % 1.14/1.36 (assume @p454 (forall @t216 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t210 @t214) @t214))) % 1.14/1.36 (assume @p455 (forall @t216 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t568 @t214) @t210)))) % 1.14/1.36 (assume @p456 (forall @t83 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t82) @t82))) % 1.14/1.36 (assume @p457 (forall @t83 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 tptp.c_Int_OPls) @t82))) % 1.14/1.36 (assume @p458 (forall @t83 (= @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t82 @t82)))) % 1.14/1.36 (assume @p459 (forall @t89 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t87) (tptp.c_Int_OBit0 @t570)))) % 1.14/1.36 (assume @p460 (forall @t378 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t571) @t571))) % 1.14/1.36 (assume @p461 (forall @t510 (=> @t572 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t211 @t82) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t449 @t82))))) % 1.14/1.36 (assume @p462 (forall @t476 (= @t475 (or @t490 (= @t153 @t389))))) % 1.14/1.36 (assume @p463 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 @t100) @t573))) % 1.14/1.36 (assume @p464 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t95 @t94) @t574))) % 1.14/1.36 (assume @p465 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.14/1.36 (assume @p466 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t97) (exists @t278 (= @t97 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t276)))))) % 1.14/1.36 (assume @p467 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t105) @t573))) % 1.14/1.36 (assume @p468 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t104 @t103) @t574))) % 1.14/1.36 (assume @p469 (forall @t411 (= @t576 (and @t575 (not @t148))))) % 1.14/1.36 (assume @p470 (forall @t411 (= @t575 (or @t576 @t148)))) % 1.14/1.36 (assume @p471 (forall @t578 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t577 @t217) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t346)))) % 1.14/1.36 (assume @p472 (forall (@list @t153 @t389) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t389 @t153) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t389 @t153) (not (= @t389 @t153)))))) % 1.14/1.36 (assume @p473 (forall @t237 (=> @t381 (= (tptp.c_Groups_Oplus__class_Oplus @t65 @t75 @t67) @t67)))) % 1.14/1.36 (assume @p474 (forall @t236 (=> @t381 (= (tptp.c_Groups_Oplus__class_Oplus @t65 @t63 @t75) @t63)))) % 1.14/1.36 (assume @p475 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t221 @t220) @t573))) % 1.14/1.36 (assume @p476 (forall @t555 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t563) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t215 @t171)))) % 1.14/1.36 (assume @p477 (forall @t562 (=> @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t214 @t44) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t214 @t111))))) % 1.14/1.36 (assume @p478 (forall (@list @t211 @t432) (=> @t580 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t523) @t432)))) % 1.14/1.36 (assume @p479 (forall @t433 (=> @t580 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t452)) @t432)))) % 1.14/1.36 (assume @p480 (forall @t433 (=> @t580 (= @t581 @t432)))) % 1.14/1.36 (assume @p481 (forall @t459 (= @t474 (or @t485 (exists (@list @t582) (and (= @t454 (tptp.c_Nat_OSuc @t582)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t582 @t456))))))) % 1.14/1.36 (assume @p482 (forall @t567 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t456 @t452) @t486))) % 1.14/1.36 (assume @p483 (forall @t567 (= @t584 (exists (@list @t583) (= @t456 (tptp.c_Nat_OSuc @t583)))))) % 1.14/1.36 (assume @p484 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t489) (or @t585 @t584)))) % 1.14/1.36 (assume @p485 (forall @t592 (= @t591 (and (=> @t590 @t589) (forall @t32 (=> @t588 @t587)))))) % 1.14/1.36 (assume @p486 (forall @t592 (= @t591 (not (or (and @t590 (not @t589)) (exists @t32 (and @t588 (not @t587)))))))) % 1.14/1.36 (assume @p487 (forall @t444 (=> @t549 @t443))) % 1.14/1.36 (assume @p488 (forall @t459 (=> @t541 @t495))) % 1.14/1.36 (assume @p489 (forall @t444 (=> @t443 @t549))) % 1.14/1.36 (assume @p490 (forall @t444 (=> @t546 @t502))) % 1.14/1.36 (assume @p491 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t455 @t456) @t458))) % 1.14/1.36 (assume @p492 (forall @t459 (= @t474 @t541))) % 1.14/1.36 (assume @p493 (forall @t497 (= @t496 @t540))) % 1.14/1.36 (assume @p494 (forall @t433 (= (tptp.c_Nat_OSuc @t595) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t594 @t432)))) % 1.14/1.36 (assume @p495 (forall @t603 (and (=> @t601 (= @t599 @t597)) (=> @t602 (and (=> @t600 (= @t599 @t598)) (=> (not @t600) (= @t599 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t166 @t596))))))))) % 1.14/1.36 (assume @p496 (forall @t433 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t274) @t595))) % 1.14/1.36 (assume @p497 (forall @t433 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t274 @t432) @t595))) % 1.14/1.36 (assume @p498 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t224) @t12)) % 1.14/1.36 (assume @p499 (forall @t567 (= (= @t535 @t12) @t486))) % 1.14/1.36 (assume @p500 (forall @t433 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t445 @t12)))) % 1.14/1.36 (assume @p501 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t535 @t534) @t496))) % 1.14/1.36 (assume @p502 (forall @t478 (=> @t515 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t460) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t536 @t445))))) % 1.14/1.36 (assume @p503 (forall @t433 (=> @t580 (= @t432 @t581)))) % 1.14/1.36 (assume @p504 (forall @t89 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t119) @t604))) % 1.14/1.36 (assume @p505 (forall @t89 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t120 @t87) @t604))) % 1.14/1.36 (assume @p506 (forall @t390 (= (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 @t289 @t389) @t389) @t210) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t389 @t210)))) % 1.14/1.36 (assume @p507 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t101) @t605))) % 1.14/1.36 (assume @p508 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t100) @t573))) % 1.14/1.36 (assume @p509 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t104 @t94) @t574))) % 1.14/1.36 (assume @p510 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t106) @t605))) % 1.14/1.36 (assume @p511 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t98 tptp.c_Int_OPls)))) % 1.14/1.36 (assume @p512 (forall @t390 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t289 @t389) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t210 @t389)))) % 1.14/1.36 (assume @p513 (forall @t216 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t215 @t214) @t210))) % 1.14/1.36 (assume @p514 (forall @t45 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t135)))) % 1.14/1.36 (assume @p515 (forall @t411 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t78 @t138)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t78 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t138)) (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t78) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t138 @t12)))))) % 1.14/1.36 (assume @p516 (forall @t411 (= @t575 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t78 @t138) @t12)))) % 1.14/1.36 (assume @p517 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 tptp.c_Transcendental_Opi)) % 1.14/1.36 (assume @p518 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t153 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t389 @t289)) @t490))) % 1.14/1.36 (assume @p519 (forall @t555 (= @t607 @t606))) % 1.14/1.36 (assume @p520 (forall @t555 (= @t606 @t607))) % 1.14/1.36 (assume @p521 (forall (@list @t165 @t78) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t78) @t165) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t165) @t78) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t78 @t165))))) % 1.14/1.36 (assume @p522 (forall @t497 (= @t533 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t535 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t534 @t350))))) % 1.14/1.36 (assume @p523 (forall (@list @t166) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t598) (= @t598 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t598 @t412)))))) % 1.14/1.36 (assume @p524 (forall @t169 (=> @t37 (= @t168 @t392)))) % 1.14/1.36 (assume @p525 (forall @t81 (=> @t62 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t80 @t12) @t79)))) % 1.14/1.36 (assume @p526 (forall @t225 (= (= @t224 @t223) @t608))) % 1.14/1.36 (assume @p527 (forall @t225 (= (= @t223 @t224) @t608))) % 1.14/1.36 (assume @p528 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t101) @t605))) % 1.14/1.36 (assume @p529 (forall @t123 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 tptp.c_Int_OPls) @t122))) % 1.14/1.36 (assume @p530 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 @t100) @t573))) % 1.14/1.36 (assume @p531 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t104 @t94) @t574))) % 1.14/1.36 (assume @p532 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 @t105) @t99))) % 1.14/1.36 (assume @p533 (forall @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t95 @t103) @t93))) % 1.14/1.36 (assume @p534 (forall @t252 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t223 @t251) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t222 @t249)) @t608)))) % 1.14/1.36 (assume @p535 (forall @t147 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t372 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t135 @t373))))) % 1.14/1.36 (assume @p536 (forall @t53 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t184 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t48 @t47))))) % 1.14/1.36 (assume @p537 (forall @t53 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t609 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t291))))) % 1.14/1.36 (assume @p538 (forall @t314 (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t291 @t368) (tptp.c_Groups_Oplus__class_Oplus @t34 @t301 @t310))))) % 1.14/1.36 (assume @p539 (forall @t182 (=> @t352 (= @t341 (tptp.c_Groups_Oplus__class_Oplus @t34 @t301 @t46))))) % 1.14/1.36 (assume @p540 (forall @t182 (=> @t352 @t342))) % 1.14/1.36 (assume @p541 (forall @t611 (=> @t352 (= @t610 (tptp.c_Groups_Oplus__class_Oplus @t34 @t301 @t309))))) % 1.14/1.36 (assume @p542 (forall @t611 (=> @t352 (= @t610 (tptp.c_Groups_Oplus__class_Oplus @t34 @t178 (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t309)))))) % 1.14/1.36 (assume @p543 (forall (@list @t178 @t39 @t34) (=> @t352 (= @t301 @t319)))) % 1.14/1.36 (assume @p544 (forall @t53 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t609 @t184)))) % 1.14/1.36 (assume @p545 (forall @t578 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t577 @t217) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t391)))) % 1.14/1.36 (assume @p546 (forall @t411 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t410 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t138 @t409)))) % 1.14/1.36 (assume @p547 (forall @t411 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t410) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t409 @t138)))) % 1.14/1.36 (assume @p548 (forall @t444 (=> @t612 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t440) @t224) @t500)))) % 1.14/1.36 (assume @p549 (forall @t446 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t440) @t224))) % 1.14/1.36 (assume @p550 (forall @t446 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t224) @t440))) % 1.14/1.36 (assume @p551 (forall @t433 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t224 @t432) @t224))) % 1.14/1.36 (assume @p552 (forall (@list @t586 @t456 @t454) (=> (=> @t458 @t613) (=> (=> @t471 @t613) (=> (=> @t496 @t613) @t613))))) % 1.14/1.36 (assume @p553 (forall @t616 (=> @t443 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t84) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t615 @t614))))) % 1.14/1.36 (assume @p554 (forall (@list @t432 @t82 @t449) (=> @t524 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t449 @t432) @t82)))) % 1.14/1.36 (assume @p555 (forall (@list @t617 @t370) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t370 @t617) (not (= @t370 @t617))))) % 1.14/1.36 (assume @p556 (forall @t478 (=> @t501 @t618))) % 1.14/1.36 (assume @p557 (forall @t433 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t432)))) % 1.14/1.36 (assume @p558 (forall @t219 (=> @t146 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t111)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t111 @t44))))) % 1.14/1.36 (assume @p559 (forall @t459 (= @t619 (or @t458 @t496)))) % 1.14/1.36 (assume @p560 (forall (@list @t440 @t84 @t111 @t44) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t283 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t621 @t620))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t621)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t111 @t620)))))) % 1.14/1.36 (assume @p561 (forall @t444 (=> @t546 (=> @t515 @t500)))) % 1.14/1.36 (assume @p562 (forall @t510 (=> @t547 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t449 @t82) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t82))))) % 1.14/1.36 (assume @p563 (forall @t444 (=> @t500 @t546))) % 1.14/1.36 (assume @p564 (forall @t444 (or @t546 @t515))) % 1.14/1.36 (assume @p565 (forall @t433 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t432))) % 1.14/1.36 (assume @p566 (forall @t493 (=> @t625 (=> @t624 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t623 @t622) @t541))))) % 1.14/1.36 (assume @p567 (forall @t626 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t440) (=> @t507 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t82) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t82)) @t460))))) % 1.14/1.36 (assume @p568 (forall @t493 (=> @t625 (=> @t624 (= (= @t623 @t622) @t471))))) % 1.14/1.36 (assume @p569 (forall (@list @t432 @t211) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t432) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t211)) @t211)))) % 1.14/1.36 (assume @p570 (forall @t616 (=> @t546 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t84) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t84))))) % 1.14/1.36 (assume @p571 (forall @t616 (=> @t546 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t615 @t614)))) % 1.14/1.36 (assume @p572 (forall @t444 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t440))) % 1.14/1.36 (assume @p573 (forall @t567 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t535) @t584))) % 1.14/1.36 (assume @p574 (= @t413 @t452)) % 1.14/1.36 (assume @p575 (= @t594 (tptp.c_Nat_OSuc @t627))) % 1.14/1.36 (assume @p576 (forall @t478 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t226 @t432) (= @t518 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t413)))))) % 1.14/1.36 (assume @p577 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t412) @t274)) % 1.14/1.36 (assume @p578 (forall @t314 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t369) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t367) (tptp.c_RealVector_Onorm__class_Onorm @t34 @t366)))))) % 1.14/1.36 (assume @p579 (forall @t53 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t609) @t184)))) % 1.14/1.36 (assume @p580 (= @t627 @t274)) % 1.14/1.36 (assume @p581 (= @t274 @t627)) % 1.14/1.36 (assume @p582 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 tptp.c_Transcendental_Opi)) % 1.14/1.36 (assume @p583 (forall @t433 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t274) (or @t532 (= @t432 @t452))))) % 1.14/1.36 (assume @p584 (forall @t38 (=> @t37 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t288 @t35) (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t171)))))) % 1.14/1.36 (assume @p585 (forall @t353 (=> @t37 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t167 @t288) (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t166 @t628)))))) % 1.14/1.36 (assume @p586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t286 @t15)) % 1.14/1.36 (assume @p587 (forall @t259 (=> @t629 (= (= @t54 @t338) @t204)))) % 1.14/1.36 (assume @p588 (forall @t43 (=> @t352 @t382))) % 1.14/1.36 (assume @p589 (forall @t43 (=> @t352 @t379))) % 1.14/1.36 (assume @p590 (forall @t630 (=> @t235 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t301 @t310) (tptp.c_Groups_Oplus__class_Oplus @t34 @t181 (tptp.c_Groups_Ominus__class_Ominus @t34 @t178 @t309)))))) % 1.14/1.36 (assume @p591 (forall @t433 (=> @t631 @t580))) % 1.14/1.36 (assume @p592 (forall @t444 (=> @t443 @t631))) % 1.14/1.36 (assume @p593 (forall @t478 (=> @t580 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t440) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t440))))) % 1.14/1.36 (assume @p594 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t456 @t454)) @t458))) % 1.14/1.36 (assume @p595 (forall @t567 (= (not @t486) @t584))) % 1.14/1.36 (assume @p596 (forall @t444 (=> @t546 @t612))) % 1.14/1.36 (assume @p597 (forall @t459 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t456) @t224) @t541))) % 1.14/1.36 (assume @p598 (forall @t567 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t224) @t486))) % 1.14/1.36 (assume @p599 (forall @t444 (=> (or @t443 @t500) @t546))) % 1.14/1.36 (assume @p600 (forall @t493 (=> @t625 (=> @t624 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t623 @t622) @t458))))) % 1.14/1.36 (assume @p601 (forall (@list @t178 @t46 @t39) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t46) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t178 @t39) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t178) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t46 @t178)))))) % 1.14/1.36 (assume @p602 (forall @t444 (=> @t546 (=> @t618 @t443)))) % 1.14/1.36 (assume @p603 (forall @t444 (=> @t443 @t546))) % 1.14/1.36 (assume @p604 (forall @t459 (= @t541 @t472))) % 1.14/1.36 (assume @p605 (forall @t459 (= @t458 (and @t541 @t619)))) % 1.14/1.36 (assume @p606 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t286)) % 1.14/1.36 (assume @p607 (forall @t378 (=> @t633 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t44 @t632) (or (= @t44 @t210) (= @t44 @t289)))))) % 1.14/1.36 (assume @p608 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t632)) % 1.14/1.36 (assume @p609 (forall @t641 (=> @t640 (= @t639 (exists @t279 (forall @t278 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t637 @t634))))))) % 1.14/1.36 (assume @p610 (forall @t641 (=> @t640 (= @t639 (exists @t279 (forall @t278 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t637 @t634))))))) % 1.14/1.36 (assume @p611 (forall @t433 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t432)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t432))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t432))))))) % 1.14/1.36 (assume @p612 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t593))) % 1.14/1.36 (assume @p613 (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)) % 1.14/1.36 (assume @p614 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t644 tptp.v_r) (= @t643 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t643))))) % 1.14/1.36 (assume @p615 (forall @t216 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t569 tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t214)))))) % 1.14/1.36 (assume @p616 (forall (@list @t78 @t645) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t645) tptp.v_r) (=> (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t645)) @t409) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t78 @t350))))) % 1.14/1.36 (assume @p617 (forall @t652 (= (exists @t4 (and (exists @t651 (and @t650 (= @t649 @t647))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t646 @t3))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t646 tptp.v_s____)))) % 1.14/1.36 (assume @p618 (forall @t444 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t469 @t432) @t440))) % 1.14/1.36 (assume @p619 (forall @t478 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t477 @t432) @t440))) % 1.14/1.36 (assume @p620 (forall @t510 (= @t653 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t211 @t509)))) % 1.14/1.36 (assume @p621 (forall @t626 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t531) @t460))) % 1.14/1.36 (assume @p622 (forall @t551 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 @t654) @t460))) % 1.14/1.36 (assume @p623 (forall @t555 (=> @t656 (=> @t655 @t552)))) % 1.14/1.36 (assume @p624 (forall @t510 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t211 @t449) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t449 @t82) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t211 @t82))))) % 1.14/1.36 (assume @p625 (forall @t555 (or @t656 @t655))) % 1.14/1.36 (assume @p626 (forall @t218 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t33 @t33))) % 1.14/1.36 (assume @p627 (forall @t444 (= @t469 @t477))) % 1.14/1.36 (assume @p628 (forall @t562 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t111 @t214)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t111 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t214))))) % 1.14/1.36 (assume @p629 (forall @t566 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t469 @t82) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t654)))) % 1.14/1.36 (assume @p630 (forall @t493 (= (= @t492 @t491) @t471))) % 1.14/1.36 (assume @p631 (forall @t657 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t98) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t456 @t98)) @t471))) % 1.14/1.36 (assume @p632 (forall @t510 (= @t653 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t211 @t82) @t449)))) % 1.14/1.36 (assume @p633 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t210)) % 1.14/1.36 (assume @p634 (forall @t660 (= @t659 (forall (@list @t583 @t276) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t276) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t583) @t658)))))) % 1.14/1.36 (assume @p635 (forall (@list @t456 @t2) (=> @t659 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 (tptp.hAPP @t2 @t456))))) % 1.14/1.36 (assume @p636 (forall @t378 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t627) (or (= @t44 @t224) (= @t44 @t452))))) % 1.14/1.36 (assume @p637 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t289)) % 1.14/1.36 (assume @p638 (forall @t219 (=> @t633 (=> @t661 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 @t111)))))) % 1.14/1.36 (assume @p639 (forall @t660 (= @t659 (forall @t278 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t658 (tptp.hAPP @t2 @t434)))))) % 1.14/1.36 (assume @p640 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t229)) % 1.14/1.36 (assume @p641 (forall @t567 (exists @t651 (and @t650 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t473)))))))) % 1.14/1.36 (assume @p642 (exists (@list @t662) (forall @t4 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t663) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t663)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t3))))))))) % 1.14/1.36 (assume @p643 (forall @t278 (exists @t651 (and @t650 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t435))))) % 1.14/1.36 (assume @p644 (forall @t665 (= (exists @t651 (and @t650 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t649)) @t138))) @t664))) % 1.14/1.36 (assume @p645 (forall @t665 (= (exists @t651 (and @t650 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t138))) @t664))) % 1.14/1.36 (assume @p646 (= (exists @t651 (and @t650 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t8))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t8))) % 1.14/1.36 (assume @p647 (exists @t651 (forall @t4 (=> (exists (@list @t666) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t666) tptp.v_r) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t9 @t666)) @t647))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t648))))) % 1.14/1.36 (assume @p648 (=> (not @t438) (exists @t651 (forall @t28 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t23) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t649 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t24))))))) % 1.14/1.36 (assume @p649 (forall @t430 (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 @t46 @t39)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t46)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t39)))) % 1.14/1.36 (assume @p650 (forall @t219 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t44 @t111) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t44 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t111))))) % 1.14/1.36 (assume @p651 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t667) @t667))) % 1.14/1.36 (assume @p652 (forall @t140 (=> @t37 (= (= @t288 @t139) (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t668))))))) % 1.14/1.36 (assume @p653 (forall @t81 (=> @t37 (= (= @t136 @t288) (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 @t628))))))) % 1.14/1.36 (assume @p654 (forall @t671 @t670)) % 1.14/1.36 (assume @p655 (= (tptp.c_Transcendental_Oarctan @t12) @t12)) % 1.14/1.36 (assume @p656 (forall (@list @t389 @t34) (=> @t673 (= (tptp.c_Int_Oiszero @t34 @t389) @t672)))) % 1.14/1.36 (assume @p657 (forall @t73 (=> @t673 (tptp.c_Int_Oiszero @t34 @t70)))) % 1.14/1.36 (assume @p658 (forall @t73 (=> @t673 (not (tptp.c_Int_Oiszero @t34 @t288))))) % 1.14/1.36 (assume @p659 (forall @t378 (= (tptp.c_Transcendental_Oarctan @t415) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t674)))) % 1.14/1.36 (assume @p660 (forall @t219 (=> @t285 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t674 @t669)))) % 1.14/1.36 (assume @p661 (forall @t219 (=> @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t674 @t669)))) % 1.14/1.36 (assume @p662 (forall @t38 (=> @t151 (not (tptp.c_Int_Oiszero @t34 @t365))))) % 1.14/1.36 (assume @p663 (forall @t73 (=> @t37 (tptp.c_Int_Oiszero @t34 @t126)))) % 1.14/1.36 (assume @p664 (forall (@list @t153 @t34) (=> @t151 (= (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 @t230)) (tptp.c_Int_Oiszero @t34 @t154))))) % 1.14/1.36 (assume @p665 (forall @t73 (=> @t37 (not (tptp.c_Int_Oiszero @t34 @t40))))) % 1.14/1.36 (assume @p666 (forall @t152 (=> @t37 (= @t149 (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 @t668))))))) % 1.14/1.36 (assume @p667 (forall @t140 (=> @t37 (= (= @t70 @t139) (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t668))))))) % 1.14/1.36 (assume @p668 (forall @t81 (=> @t37 (= (= @t136 @t70) (tptp.c_Int_Oiszero @t34 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 @t90))))))) % 1.14/1.36 (assume @p669 (forall @t671 @t675)) % 1.14/1.36 (assume @p670 (= (tptp.c_Transcendental_Oarctan @t350) @t676)) % 1.14/1.36 (assume @p671 (forall @t671 (and @t670 @t675))) % 1.14/1.36 (assume @p672 (forall @t378 (=> @t679 (=> @t678 (= (tptp.c_Transcendental_Oarctan @t677) @t44))))) % 1.14/1.36 (assume @p673 (forall @t671 (and @t670 @t675 @t680))) % 1.14/1.36 (assume @p674 (forall @t378 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi) @t15) @t44) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t677 @t12))))) % 1.14/1.36 (assume @p675 (forall @t671 @t680)) % 1.14/1.36 (assume @p676 (forall @t378 (= (tptp.c_Transcendental_Otan @t415) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t677)))) % 1.14/1.36 (assume @p677 (= (tptp.c_Transcendental_Otan @t12) @t12)) % 1.14/1.36 (assume @p678 (= (tptp.c_Transcendental_Otan tptp.c_Transcendental_Opi) @t12)) % 1.14/1.36 (assume @p679 (forall @t378 (= (tptp.c_Transcendental_Otan (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 tptp.c_Transcendental_Opi)) @t677))) % 1.14/1.36 (assume @p680 (= (tptp.c_Transcendental_Otan @t676) @t350)) % 1.14/1.36 (assume @p681 (forall @t378 (=> @t681 (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t677))))) % 1.14/1.36 (assume @p682 (forall @t683 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t111) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t111 @t44) (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t682 @t677)))))) % 1.14/1.36 (assume @p683 (forall (@list @t78 @t138) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t138) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t138 @t286) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t78) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t78 @t286) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t138 @t78) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Otan @t138) (tptp.c_Transcendental_Otan @t78))))))))) % 1.14/1.36 (assume @p684 (forall @t671 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 @t682) (tptp.c_Transcendental_Otan (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t286 @t111))))) % 1.14/1.36 (assume @p685 (forall @t378 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t377 @t350) (exists @t651 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t676) @t648) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t648 @t676) (= (tptp.c_Transcendental_Otan @t648) @t44)))))) % 1.14/1.36 (assume @p686 (forall @t671 (=> @t687 (exists @t4 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t3) @t686 @t685))))) % 1.14/1.36 (assume @p687 (forall @t671 (exists @t4 (and @t688 @t686 @t685)))) % 1.14/1.36 (assume @p688 (forall @t671 (exists @t4 (and @t688 @t686 @t685 (forall @t652 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t287 @t646) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t646 @t286) (= (tptp.c_Transcendental_Otan @t646) @t111)) (= @t646 @t3))))))) % 1.14/1.36 (assume @p689 (forall @t671 (=> @t689 (exists @t4 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t3) @t686 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t111 @t684)))))) % 1.14/1.36 (assume @p690 (= @t676 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t428 (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit1 @t14))))) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 @t593)))))))))))) % 1.14/1.36 (assume @p691 (forall @t630 (=> @t60 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t194 @t178) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t200 @t309) (tptp.c_Orderings_Oord__class_Oless @t34 @t691 @t690)))))) % 1.14/1.36 (assume @p692 (forall (@list @t78) (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t693)) @t692))) % 1.14/1.36 (assume @p693 (forall @t697 (=> @t696 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t695 @t694) @t576)))) % 1.14/1.36 (assume @p694 (forall @t219 (=> @t681 (=> @t689 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t698))))) % 1.14/1.36 (assume @p695 (forall (@list @t111 @t44 @t214) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t214) (=> @t285 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t214 @t44) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t214 @t111)))))) % 1.14/1.36 (assume @p696 (forall @t53 (=> @t702 (= @t701 @t699)))) % 1.14/1.36 (assume @p697 (forall @t53 (=> @t702 (= @t701 @t703)))) % 1.14/1.36 (assume @p698 (forall @t53 (=> @t704 (= @t699 @t701)))) % 1.14/1.36 (assume @p699 (forall (@list @t44 @t705 @t34) (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t705 @t188) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t706))))) % 1.14/1.36 (assume @p700 (forall @t53 (=> @t704 (= @t703 @t701)))) % 1.14/1.36 (assume @p701 (forall @t147 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t188 @t111) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t707))))) % 1.14/1.36 (assume @p702 (forall @t53 (=> @t702 (= @t703 @t699)))) % 1.14/1.36 (assume @p703 (forall @t53 (=> @t702 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t128 @t127) @t700)))) % 1.14/1.36 (assume @p704 (forall @t61 (=> @t160 (= (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t55) (tptp.c_Groups_Otimes__class_Otimes @t34 @t54 @t54)) (or @t243 @t248))))) % 1.14/1.36 (assume @p705 (forall @t147 (=> @t704 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t709 @t708)))) % 1.14/1.36 (assume @p706 (forall (@list @t178 @t46 @t280 @t39 @t34) (=> (tptp.class_Rings_Osemiring @t34) (= (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t280) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t46 @t280) @t178)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t291 @t280) @t178))))) % 1.14/1.36 (assume @p707 (forall @t177 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t371 @t173) (tptp.c_Groups_Oplus__class_Oplus @t34 @t711 @t710))))) % 1.14/1.36 (assume @p708 (forall @t714 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t712) @t46) (tptp.c_Groups_Oplus__class_Oplus @t34 @t700 @t713))))) % 1.14/1.36 (assume @p709 (forall @t182 (=> (tptp.class_Rings_Ocomm__semiring @t34) @t717))) % 1.14/1.36 (assume @p710 (forall @t719 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t705 @t371) (tptp.c_Groups_Oplus__class_Oplus @t34 @t706 @t718))))) % 1.14/1.36 (assume @p711 (forall @t722 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 (tptp.c_Groups_Oplus__class_Oplus @t34 @t46 @t720)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t700 @t721))))) % 1.14/1.36 (assume @p712 (forall (@list @t389 @t78 @t138 @t153 @t34) (=> @t629 (= (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t724 @t723) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t153 @t389) (tptp.c_Groups_Otimes__class_Otimes @t34 @t78 @t138))) (or (= @t153 @t78) (= @t138 @t389)))))) % 1.14/1.36 (assume @p713 (forall (@list @t46 @t440 @t39 @t34) (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t725 (tptp.c_Groups_Otimes__class_Otimes @t34 @t46 @t440)) (tptp.c_Groups_Otimes__class_Otimes @t34 @t291 @t440))))) % 1.14/1.36 (assume @p714 (forall @t182 (=> @t352 @t717))) % 1.14/1.36 (assume @p715 (forall @t246 (=> @t629 (= (and (not @t243) (not @t242)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t727 (tptp.c_Groups_Otimes__class_Otimes @t34 @t54 @t240)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t55 @t240) @t726))))))) % 1.14/1.36 (assume @p716 (forall (@list @t214 @t111 @t44 @t34) (=> @t352 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 (tptp.c_Groups_Oplus__class_Oplus @t34 @t111 @t214)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t707 @t728))))) % 1.14/1.36 (assume @p717 (forall @t177 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t176 @t173) (tptp.c_Groups_Ominus__class_Ominus @t34 @t711 @t710))))) % 1.14/1.36 (assume @p718 (forall @t714 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t712) @t46) (tptp.c_Groups_Ominus__class_Ominus @t34 @t700 @t713))))) % 1.14/1.36 (assume @p719 (forall @t719 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t705 @t176) (tptp.c_Groups_Ominus__class_Ominus @t34 @t706 @t718))))) % 1.14/1.36 (assume @p720 (forall @t722 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 (tptp.c_Groups_Ominus__class_Ominus @t34 @t46 @t720)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t700 @t721))))) % 1.14/1.36 (assume @p721 (forall @t43 (=> @t730 @t729))) % 1.14/1.36 (assume @p722 (forall @t43 (=> @t731 @t729))) % 1.14/1.36 (assume @p723 (forall @t43 (=> @t730 @t732))) % 1.14/1.36 (assume @p724 (forall @t43 (=> @t731 @t732))) % 1.14/1.36 (assume @p725 (forall @t43 (=> @t352 @t729))) % 1.14/1.36 (assume @p726 (forall @t43 (=> @t352 @t732))) % 1.14/1.36 (assume @p727 (forall @t182 (=> @t113 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t179) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t700 @t178))))) % 1.14/1.36 (assume @p728 (forall (@list @t33 @t214 @t111 @t44 @t34) (=> @t52 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t187 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t214 @t33)) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t728 (tptp.c_Groups_Otimes__class_Otimes @t34 @t111 @t33)))))) % 1.14/1.36 (assume @p729 (forall @t43 (=> @t60 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t194 @t194) @t733)))) % 1.14/1.36 (assume @p730 (forall @t53 (=> @t60 @t734))) % 1.14/1.36 (assume @p731 (forall @t216 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t350 @t214) @t214))) % 1.14/1.36 (assume @p732 (forall (@list @t39 @t107) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t107 @t39) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t107 @t107)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t39 @t107)))) % 1.14/1.36 (assume @p733 (forall @t735 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t559 @t558) @t33) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t559 @t33) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t558 @t33))))) % 1.14/1.36 (assume @p734 (forall @t348 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t167 (tptp.c_Groups_Otimes__class_Otimes @t34 @t35 @t214)) (tptp.c_Groups_Otimes__class_Otimes @t34 @t737 @t214))))) % 1.14/1.36 (assume @p735 (forall @t169 (=> @t37 (= @t738 @t737)))) % 1.14/1.36 (assume @p736 (forall @t169 (=> @t37 (= @t737 @t738)))) % 1.14/1.36 (assume @p737 (forall @t69 (=> @t77 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.c_Groups_Otimes__class_Otimes @t65 @t63 @t67)) @t44) (tptp.c_Groups_Otimes__class_Otimes @t34 @t64 @t68))))) % 1.14/1.36 (assume @p738 (forall @t147 (=> @t739 (= @t709 @t708)))) % 1.14/1.36 (assume @p739 (forall @t555 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t214 @t33) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t33 @t214)))) % 1.14/1.36 (assume @p740 (forall @t182 (=> (tptp.class_Groups_Oab__semigroup__mult @t34) (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t700 @t178) (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t715))))) % 1.14/1.36 (assume @p741 (forall @t561 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t559 @t558) @t557) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t559 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t558 @t557))))) % 1.14/1.36 (assume @p742 (forall @t376 (=> @t704 (=> @t375 (=> @t374 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t709 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t107 @t370))))))) % 1.14/1.36 (assume @p743 (forall @t53 (=> @t352 (= @t700 @t740)))) % 1.14/1.36 (assume @p744 (forall @t746 (=> @t352 (= @t745 (tptp.c_Groups_Otimes__class_Otimes @t34 @t743 (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 @t741)))))) % 1.14/1.36 (assume @p745 (forall @t746 (=> @t352 (= @t745 (tptp.c_Groups_Otimes__class_Otimes @t34 @t747 @t741))))) % 1.14/1.36 (assume @p746 (forall @t751 (=> @t352 (= @t750 (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 (tptp.c_Groups_Otimes__class_Otimes @t34 @t748 @t743)))))) % 1.14/1.36 (assume @p747 (forall @t751 (=> @t352 (= @t750 (tptp.c_Groups_Otimes__class_Otimes @t34 @t747 @t748))))) % 1.14/1.36 (assume @p748 (forall @t753 (=> @t352 (= @t752 (tptp.c_Groups_Otimes__class_Otimes @t34 @t742 (tptp.c_Groups_Otimes__class_Otimes @t34 @t748 @t744)))))) % 1.14/1.36 (assume @p749 (forall @t753 (=> @t352 (= @t752 (tptp.c_Groups_Otimes__class_Otimes @t34 @t743 (tptp.c_Groups_Otimes__class_Otimes @t34 @t749 @t741)))))) % 1.14/1.36 (assume @p750 (forall @t753 (=> @t352 (= @t752 (tptp.c_Groups_Otimes__class_Otimes @t34 @t747 (tptp.c_Groups_Otimes__class_Otimes @t34 @t748 @t741)))))) % 1.14/1.36 (assume @p751 (forall @t755 (=> @t754 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t241 @t55) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t241 @t54)) @t243)))) % 1.14/1.36 (assume @p752 (forall @t755 (=> @t754 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t55 @t241) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t54 @t241)) @t243)))) % 1.14/1.36 (assume @p753 (forall @t43 (=> @t352 @t756))) % 1.14/1.36 (assume @p754 (forall @t43 (=> @t352 @t757))) % 1.14/1.36 (assume @p755 (forall @t53 (=> @t759 (=> @t758 (or @t403 @t130))))) % 1.14/1.36 (assume @p756 (forall @t53 (=> @t759 (=> @t404 (=> @t131 (not @t758)))))) % 1.14/1.36 (assume @p757 (forall @t61 (=> (tptp.class_Rings_Oring__no__zero__divisors @t34) (= (= @t760 @t70) (or @t204 @t406))))) % 1.14/1.36 (assume @p758 (forall @t45 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t70) @t70)))) % 1.14/1.36 (assume @p759 (forall @t43 (=> @t704 @t757))) % 1.14/1.36 (assume @p760 (forall @t43 (=> @t761 @t757))) % 1.14/1.36 (assume @p761 (forall @t112 (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t70 @t111) @t70)))) % 1.14/1.36 (assume @p762 (forall (@list @t46 @t34) (=> @t704 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t70 @t46) @t70)))) % 1.14/1.36 (assume @p763 (forall @t43 (=> @t761 @t756))) % 1.14/1.36 (assume @p764 (forall @t81 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t34) (= (= @t763 @t288) (or @t343 (= @t78 @t762)))))) % 1.14/1.36 (assume @p765 (forall @t45 (=> @t437 (= @t188 (tptp.c_Groups_Otimes__class_Otimes @t34 @t762 @t44))))) % 1.14/1.36 (assume @p766 (forall @t333 (=> @t113 (=> @t768 (= @t766 @t764))))) % 1.14/1.36 (assume @p767 (forall @t771 (=> @t113 (=> @t768 (= @t770 @t769))))) % 1.14/1.36 (assume @p768 (forall @t306 (=> @t113 (=> @t772 (=> (= @t46 @t716) (= @t179 @t39)))))) % 1.14/1.36 (assume @p769 (forall @t322 (=> @t113 (=> @t772 (=> (= @t716 @t46) (= @t39 @t179)))))) % 1.14/1.36 (assume @p770 (forall @t340 (=> @t52 (= @t766 (and (=> @t768 @t764) @t773))))) % 1.14/1.36 (assume @p771 (forall @t774 (=> @t52 (= @t770 (and (=> @t768 @t769) @t773))))) % 1.14/1.36 (assume @p772 (forall @t322 (=> @t52 (=> @t772 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t716 @t715) @t49))))) % 1.14/1.36 (assume @p773 (forall @t322 (=> @t52 (=> @t772 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t776 @t775) @t49))))) % 1.14/1.36 (assume @p774 (forall (@list @t153 @t78 @t389 @t138 @t34) (=> @t41 (=> @t777 (=> (not @t672) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t78 @t138) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t153 @t389)) (= @t723 @t724))))))) % 1.14/1.36 (assume @p775 (forall @t783 (=> @t782 (= (tptp.c_Groups_Otimes__class_Otimes @t636 (tptp.c_Groups_Ominus__class_Ominus @t636 @t39 @t46) @t778) (tptp.c_Groups_Ominus__class_Ominus @t636 @t780 @t779))))) % 1.14/1.36 (assume @p776 (forall @t786 (=> @t782 (= (tptp.c_Groups_Otimes__class_Otimes @t636 @t778 (tptp.c_Groups_Ominus__class_Ominus @t636 @t46 @t178)) (tptp.c_Groups_Ominus__class_Ominus @t636 @t785 @t784))))) % 1.14/1.36 (assume @p777 (forall (@list @t440 @t34) (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t440 @t440) (tptp.c_Groups_Otimes__class_Otimes @t34 @t363 @t440))))) % 1.14/1.36 (assume @p778 (forall (@list @t39 @t440 @t34) (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t440 @t725) @t787)))) % 1.14/1.36 (assume @p779 (forall (@list @t440 @t39 @t34) (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t725 @t440) @t787)))) % 1.14/1.36 (assume @p780 (forall @t792 (=> @t702 (= @t791 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t44 @t790) @t789))))) % 1.14/1.36 (assume @p781 (forall @t798 (=> @t702 (= @t797 (= @t794 @t240))))) % 1.14/1.36 (assume @p782 (forall @t798 (=> @t702 (= @t797 (= @t241 @t799))))) % 1.14/1.36 (assume @p783 (forall @t792 (=> @t704 (= @t791 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t788 @t790) @t789) (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t790)))))) % 1.14/1.36 (assume @p784 (forall @t783 (=> @t800 (= (tptp.c_Groups_Otimes__class_Otimes @t636 (tptp.c_Groups_Oplus__class_Oplus @t636 @t39 @t46) @t778) (tptp.c_Groups_Oplus__class_Oplus @t636 @t780 @t779))))) % 1.14/1.36 (assume @p785 (forall @t786 (=> @t800 (= (tptp.c_Groups_Otimes__class_Otimes @t636 @t778 (tptp.c_Groups_Oplus__class_Oplus @t636 @t46 @t178)) (tptp.c_Groups_Oplus__class_Oplus @t636 @t785 @t784))))) % 1.14/1.36 (assume @p786 (forall (@list @t432 @t440 @t34) (=> @t345 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t288 @t440) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t288 @t432) (tptp.c_Orderings_Oord__class_Oless @t34 @t288 (tptp.c_Groups_Otimes__class_Otimes @t34 @t440 @t432))))))) % 1.14/1.36 (assume @p787 (forall @t152 (=> @t802 (= (= @t801 @t70) @t299)))) % 1.14/1.36 (assume @p788 (forall (@list @t309 @t178 @t46 @t39 @t107 @t34) (=> @t629 (=> (not (= @t107 @t70)) (=> (and (= @t39 @t46) (not (= @t178 @t309))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 (tptp.c_Groups_Otimes__class_Otimes @t34 @t107 @t178)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t46 (tptp.c_Groups_Otimes__class_Otimes @t34 @t107 @t309))))))))) % 1.14/1.36 (assume @p789 (forall @t43 (=> @t803 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t733 @t70))))) % 1.14/1.36 (assume @p790 (forall @t336 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t727 @t726) @t807)))) % 1.14/1.36 (assume @p791 (forall @t333 (=> @t802 (= @t810 @t807)))) % 1.14/1.36 (assume @p792 (forall @t333 (=> @t802 (=> @t806 (= @t810 @t58))))) % 1.14/1.36 (assume @p793 (forall @t53 (=> @t812 (=> @t203 (=> @t356 @t811))))) % 1.14/1.36 (assume @p794 (forall @t53 (=> @t812 (=> @t203 (=> @t361 @t813))))) % 1.14/1.36 (assume @p795 (forall @t53 (=> @t812 (=> @t203 (=> @t361 (tptp.c_Orderings_Oord__class_Oless @t34 @t740 @t70)))))) % 1.14/1.36 (assume @p796 (forall @t53 (=> @t812 (=> @t811 @t814)))) % 1.14/1.36 (assume @p797 (forall @t132 (=> @t812 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t740) @t814)))) % 1.14/1.36 (assume @p798 (forall @t333 (=> @t802 (=> @t805 (= @t810 @t804))))) % 1.14/1.36 (assume @p799 (forall @t53 (=> @t812 (=> @t196 (=> @t356 @t813))))) % 1.14/1.36 (assume @p800 (forall @t53 (=> @t802 (=> @t196 (=> @t361 @t811))))) % 1.14/1.36 (assume @p801 (forall @t182 (=> @t812 (=> @t273 (=> @t272 @t815))))) % 1.14/1.36 (assume @p802 (forall @t182 (=> @t812 @t817))) % 1.14/1.36 (assume @p803 (forall @t182 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t34) @t817))) % 1.14/1.36 (assume @p804 (forall @t209 (=> @t802 (=> @t208 (=> @t207 @t815))))) % 1.14/1.36 (assume @p805 (forall @t209 (=> @t802 (=> @t208 (=> @t207 @t816))))) % 1.14/1.36 (assume @p806 (forall @t53 (=> @t819 (=> (or (and @t296 @t307) (and @t308 @t295)) @t818)))) % 1.14/1.36 (assume @p807 (forall @t53 (=> @t821 (=> (or (and @t296 @t295) (and @t308 @t307)) @t820)))) % 1.14/1.36 (assume @p808 (forall @t314 (=> @t824 (=> @t317 (=> @t312 (=> @t295 @t823)))))) % 1.14/1.36 (assume @p809 (forall @t314 (=> @t824 (=> @t317 (=> @t312 (=> @t296 @t823)))))) % 1.14/1.36 (assume @p810 (forall @t209 (=> @t821 (=> @t304 (=> @t401 @t825))))) % 1.14/1.36 (assume @p811 (forall @t209 (=> @t821 (=> @t304 (=> @t401 @t826))))) % 1.14/1.36 (assume @p812 (forall @t182 (=> (tptp.class_Rings_Oordered__comm__semiring @t34) @t827))) % 1.14/1.36 (assume @p813 (forall @t182 (=> @t824 @t827))) % 1.14/1.36 (assume @p814 (forall @t182 (=> @t824 (=> @t317 (=> @t305 @t826))))) % 1.14/1.36 (assume @p815 (forall @t53 (=> @t821 (=> @t308 (=> @t307 @t820))))) % 1.14/1.36 (assume @p816 (forall @t53 (=> @t819 (=> @t308 (=> @t295 @t818))))) % 1.14/1.36 (assume @p817 (forall @t53 (=> @t819 (=> @t296 (=> @t307 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t740 @t70)))))) % 1.14/1.36 (assume @p818 (forall @t53 (=> @t819 (=> @t296 (=> @t307 @t818))))) % 1.14/1.36 (assume @p819 (forall @t53 (=> @t819 (=> @t296 (=> @t295 @t820))))) % 1.14/1.36 (assume @p820 (forall @t61 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t760 @t70) @t400)))) % 1.14/1.36 (assume @p821 (forall @t61 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t760) @t399)))) % 1.14/1.36 (assume @p822 (forall @t43 (=> @t803 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t733)))) % 1.14/1.36 (assume @p823 (forall @t411 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t693 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t138 @t138)) @t12) (and @t692 (= @t138 @t12))))) % 1.14/1.36 (assume @p824 (forall (@list @t44 @t828) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t828 @t828)) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t44 @t44)))) % 1.14/1.36 (assume @p825 (forall (@list @t54 @t55 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t829 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t831 @t55)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t830 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t831 @t54))))) % 1.14/1.36 (assume @p826 (forall @t322 (=> @t812 (=> @t825 @t832)))) % 1.14/1.36 (assume @p827 (forall @t325 (=> @t812 (=> @t826 @t832)))) % 1.14/1.36 (assume @p828 (forall @t322 (=> @t812 @t834))) % 1.14/1.36 (assume @p829 (forall @t322 (=> @t835 @t834))) % 1.14/1.36 (assume @p830 (forall @t325 (=> @t812 @t836))) % 1.14/1.36 (assume @p831 (forall @t325 (=> @t835 @t836))) % 1.14/1.36 (assume @p832 (forall @t314 (=> @t812 (=> @t317 (=> @t315 (=> @t203 @t838)))))) % 1.14/1.36 (assume @p833 (forall @t314 (=> @t812 (=> @t273 (=> @t312 (=> @t296 (=> @t272 @t837))))))) % 1.14/1.36 (assume @p834 (forall @t314 (=> @t812 (=> @t273 (=> @t315 (=> @t296 @t838)))))) % 1.14/1.36 (assume @p835 (forall @t314 (=> @t812 (=> @t273 (=> @t315 (=> @t356 @t838)))))) % 1.14/1.36 (assume @p836 (forall @t333 (=> @t802 (=> @t805 (= @t839 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t54 @t55)))))) % 1.14/1.36 (assume @p837 (forall @t333 (=> @t802 (=> @t806 (= @t839 @t330))))) % 1.14/1.36 (assume @p838 (forall @t152 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t801 @t70) @t299)))) % 1.14/1.36 (assume @p839 (forall @t147 (=> @t803 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t841)))) % 1.14/1.36 (assume @p840 (forall @t152 (=> @t802 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t801) (or @t114 @t777))))) % 1.14/1.36 (assume @p841 (forall @t147 (=> @t803 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t841 @t70))))) % 1.14/1.36 (assume @p842 (forall @t147 (=> @t60 (=> @t425 (=> @t844 (=> @t843 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t842 @t44))))))) % 1.14/1.36 (assume @p843 (forall @t147 (=> @t60 (=> @t425 (=> @t844 (=> @t843 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t707 @t44))))))) % 1.14/1.36 (assume @p844 (forall @t798 (=> @t821 (= @t845 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t794 @t240))))) % 1.14/1.36 (assume @p845 (forall @t798 (=> @t821 (= @t845 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t241 @t799))))) % 1.14/1.36 (assume @p846 (forall @t798 (=> @t821 (= @t846 (tptp.c_Orderings_Oord__class_Oless @t34 @t241 @t799))))) % 1.14/1.36 (assume @p847 (forall @t798 (=> @t821 (= @t846 (tptp.c_Orderings_Oord__class_Oless @t34 @t794 @t240))))) % 1.14/1.36 (assume @p848 (forall @t340 (=> @t163 (= @t851 (and (=> @t806 @t850) (=> @t849 (and (=> @t805 @t848) (=> @t847 @t124)))))))) % 1.14/1.36 (assume @p849 (forall @t774 (=> @t163 (= @t852 (and (=> @t806 @t848) (=> @t849 (and (=> @t805 @t850) (=> @t847 @t263)))))))) % 1.14/1.36 (assume @p850 (forall @t333 (=> @t202 (=> @t806 (= @t851 @t850))))) % 1.14/1.36 (assume @p851 (forall @t771 (=> @t202 (=> @t806 (= @t852 @t848))))) % 1.14/1.36 (assume @p852 (forall @t854 (=> @t202 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t853) (tptp.c_Orderings_Oord__class_Oless @t34 @t187 @t214)))))) % 1.14/1.36 (assume @p853 (forall @t855 (=> @t202 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t853 @t44) (tptp.c_Orderings_Oord__class_Oless @t34 @t214 @t187)))))) % 1.14/1.36 (assume @p854 (forall @t333 (=> @t202 (=> @t805 (= @t851 @t848))))) % 1.14/1.36 (assume @p855 (forall @t771 (=> @t202 (=> @t805 (= @t852 @t850))))) % 1.14/1.36 (assume @p856 (forall @t209 (=> @t202 (=> @t208 (=> @t272 @t858))))) % 1.14/1.36 (assume @p857 (forall @t182 (=> @t202 (=> @t273 (=> @t207 @t858))))) % 1.14/1.36 (assume @p858 (forall @t45 (=> (tptp.class_Rings_Oring__1 @t34) (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t840 @t288) (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t288) (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t288)))))) % 1.14/1.36 (assume @p859 (forall @t864 (=> @t41 (=> @t863 (=> @t862 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t187 @t861) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t728 @t860) @t859))))))) % 1.14/1.36 (assume @p860 (forall @t866 (=> @t41 (=> @t862 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t421 @t111) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t865 @t214)))))) % 1.14/1.36 (assume @p861 (forall @t854 (=> @t52 (=> @t863 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t187 @t214) @t867))))) % 1.14/1.36 (assume @p862 (forall @t866 (=> @t41 (=> @t862 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t869) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t868 @t111) @t214)))))) % 1.14/1.36 (assume @p863 (forall @t855 (=> @t52 (=> @t863 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t214 @t187) @t867))))) % 1.14/1.36 (assume @p864 (forall @t53 (=> (tptp.class_Rings_Oordered__ring__abs @t34) (=> (and (or @t296 @t308) (or @t295 @t307)) @t734)))) % 1.14/1.36 (assume @p865 (forall @t147 (=> @t60 (=> @t425 (= (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t111) @t44) (tptp.c_Groups_Oabs__class_Oabs @t34 @t842)))))) % 1.14/1.36 (assume @p866 (forall @t876 (=> @t875 (= (= @t55 @t874) (and (=> @t873 (= @t872 @t54)) @t871))))) % 1.14/1.36 (assume @p867 (forall @t879 (=> @t875 (= (= @t154 @t765) (and (=> @t768 (= @t878 @t54)) @t877))))) % 1.14/1.36 (assume @p868 (forall @t880 (=> @t875 (= (= @t765 @t154) (and (=> @t768 (= @t54 @t878)) @t877))))) % 1.14/1.36 (assume @p869 (forall @t881 (=> @t875 (= (= @t874 @t55) (and (=> @t873 (= @t54 @t872)) @t871))))) % 1.14/1.36 (assume @p870 (forall @t866 (=> @t41 (=> @t862 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t869) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t868 @t111) @t214)))))) % 1.14/1.36 (assume @p871 (forall @t866 (=> @t41 (=> @t862 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t421 @t111) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t853) @t214)))))) % 1.14/1.36 (assume @p872 (forall @t864 (=> @t41 (=> @t863 (=> @t862 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t187 @t861) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t728 @t860) @t859))))))) % 1.14/1.36 (assume @p873 (forall (@list @t882 @t309 @t178 @t46 @t39 @t34) (=> (tptp.class_RealVector_Oreal__field @t34) (= (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t700 @t690) @t882) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t366 @t882)) (tptp.c_Groups_Otimes__class_Otimes @t34 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t367 @t882) @t309)))))) % 1.14/1.36 (assume @p874 (forall @t43 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t39 @t40) @t39)))) % 1.14/1.36 (assume @p875 (forall @t43 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t40 @t39) @t39)))) % 1.14/1.36 (assume @p876 (forall @t697 (=> @t696 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t389 @t78) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t389 @t138)) @t575)))) % 1.14/1.36 (assume @p877 (forall @t697 (=> @t696 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t695 @t694) @t575)))) % 1.14/1.36 (assume @p878 (forall (@list @t214 @t33 @t34) (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t170 @t214) (tptp.c_Groups_Otimes__class_Otimes @t34 @t172 @t214))))) % 1.14/1.36 (assume @p879 (forall (@list @t111 @t44 @t178) (=> @t885 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t377 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t178 @t884)) @t883)))) % 1.14/1.36 (assume @p880 (forall @t890 (=> (tptp.class_Rings_Olinordered__semiring__1 @t34) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t39) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t111 @t39) (=> @t889 (=> @t888 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t886 @t39))))))))) % 1.14/1.36 (assume @p881 (forall @t340 (=> @t163 (= @t893 (and (=> @t806 @t892) (=> @t849 (and (=> @t805 @t891) (=> @t847 @t294)))))))) % 1.14/1.36 (assume @p882 (forall @t774 (=> @t163 (= @t894 (and (=> @t806 @t891) (=> @t849 (and (=> @t805 @t892) (=> @t847 @t292)))))))) % 1.14/1.36 (assume @p883 (forall @t333 (=> @t202 (=> @t806 (= @t893 @t892))))) % 1.14/1.36 (assume @p884 (forall @t771 (=> @t202 (=> @t806 (= @t894 @t891))))) % 1.14/1.36 (assume @p885 (forall @t854 (=> @t202 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t853) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t187 @t214)))))) % 1.14/1.36 (assume @p886 (forall @t855 (=> @t202 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t853 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t214 @t187)))))) % 1.14/1.36 (assume @p887 (forall @t333 (=> @t202 (=> @t805 (= @t893 @t891))))) % 1.14/1.36 (assume @p888 (forall @t771 (=> @t202 (=> @t805 (= @t894 @t892))))) % 1.14/1.36 (assume @p889 (forall @t209 (=> @t202 (=> @t304 (=> @t305 @t895))))) % 1.14/1.36 (assume @p890 (forall @t182 (=> @t163 (=> @t317 (=> @t401 @t895))))) % 1.14/1.36 (assume @p891 (forall @t876 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t55 @t874) (and (=> @t899 @t901) (=> @t900 (and (=> @t896 @t898) (=> @t897 @t124)))))))) % 1.14/1.36 (assume @p892 (forall @t879 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t154 @t765) (and (=> @t806 @t904) (=> @t849 (and (=> @t805 @t903) (=> @t847 @t896)))))))) % 1.14/1.36 (assume @p893 (forall @t880 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t765 @t154) (and (=> @t806 @t903) (=> @t849 (and (=> @t805 @t904) (=> @t847 @t899)))))))) % 1.14/1.36 (assume @p894 (forall @t881 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t874 @t55) (and (=> @t899 @t898) (=> @t900 (and (=> @t896 @t901) (=> @t897 @t263)))))))) % 1.14/1.36 (assume @p895 (forall @t38 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t363 @t35) @t416)))) % 1.14/1.36 (assume @p896 (forall (@list @t111 @t44 @t178 @t34) (=> @t62 (=> @t885 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t135 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t178 @t373)) (= @t44 @t70)))))) % 1.14/1.36 (assume @p897 (forall @t433 (= (tptp.c_Transcendental_Otan @t905) @t12))) % 1.14/1.36 (assume @p898 (forall @t907 (= (tptp.c_Transcendental_Otan (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t906 tptp.c_Transcendental_Opi))) @t677))) % 1.14/1.36 (assume @p899 (forall @t907 (= (tptp.c_Transcendental_Otan (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t905)) @t677))) % 1.14/1.36 (assume @p900 (forall @t890 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t34) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t39) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t111 @t39) (=> @t889 (=> @t888 (=> @t887 (tptp.c_Orderings_Oord__class_Oless @t34 @t886 @t39))))))))) % 1.14/1.36 (assume @p901 (forall @t876 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t55 @t874) (and (=> @t899 @t909) (=> @t900 (and (=> @t896 @t908) (=> @t897 @t294)))))))) % 1.14/1.36 (assume @p902 (forall @t879 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t154 @t765) (and (=> @t806 @t911) (=> @t849 (and (=> @t805 @t910) (=> @t847 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t154 @t70))))))))) % 1.14/1.36 (assume @p903 (forall @t880 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t765 @t154) (and (=> @t806 @t910) (=> @t849 (and (=> @t805 @t911) (=> @t847 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t70 @t154))))))))) % 1.14/1.36 (assume @p904 (forall @t881 (=> @t902 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t874 @t55) (and (=> @t899 @t908) (=> @t900 (and (=> @t896 @t909) (=> @t897 @t292)))))))) % 1.14/1.36 (assume @p905 (forall @t913 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t214 @t162) @t912)))) % 1.14/1.36 (assume @p906 (forall @t913 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t162 @t214) @t912)))) % 1.14/1.36 (assume @p907 (forall (@list @t389 @t138 @t78) (= (= @t78 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t138 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t15 @t389))) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t15 @t78) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t138 @t389))))) % 1.14/1.36 (assume @p908 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t914) tptp.c_Transcendental_Opi)) % 1.14/1.36 (assume @p909 (forall @t378 (= (tptp.c_Transcendental_Otan (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t914)) @t677))) % 1.14/1.36 (assume @p910 (forall @t219 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t377 @t350) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t884 @t350) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t674 @t669) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t283 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t350 @t698)))))))) % 1.14/1.36 (assume @p911 (forall @t378 (=> (not @t883) (= (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t350 @t44)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t915 tptp.c_Transcendental_Opi) @t15) @t674))))) % 1.14/1.36 (assume @p912 (forall (@list @t44 @t432) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t445 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 @t537) (= @t916 @t539))))) % 1.14/1.36 (assume @p913 (forall @t378 (=> @t679 (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t917))))) % 1.14/1.36 (assume @p914 (forall @t459 (= (= @t918 @t452) (and @t487 @t484)))) % 1.14/1.36 (assume @p915 (forall @t459 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t918) (and @t585 @t584)))) % 1.14/1.36 (assume @p916 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t921 @t920) @t919))) % 1.14/1.36 (assume @p917 (forall @t657 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t923 @t922) @t919))) % 1.14/1.36 (assume @p918 (forall @t510 (=> @t504 (=> @t926 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t925 @t924))))) % 1.14/1.36 (assume @p919 (forall @t510 (=> @t504 (=> @t926 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t928 @t927))))) % 1.14/1.36 (assume @p920 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t931 @t930) @t458))) % 1.14/1.36 (assume @p921 (forall @t555 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t215 @t33) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t932)))) % 1.14/1.36 (assume @p922 (forall @t626 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t469) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t934 @t933)))) % 1.14/1.36 (assume @p923 (forall @t566 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t469 @t82) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t936 @t935)))) % 1.14/1.36 (assume @p924 (forall @t566 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t460 @t82) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t936 @t935)))) % 1.14/1.36 (assume @p925 (forall @t626 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t82 @t460) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t934 @t933)))) % 1.14/1.36 (assume @p926 (forall @t218 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint tptp.c_Int_OPls @t33) tptp.c_Int_OPls))) % 1.14/1.36 (assume @p927 (forall @t493 (= (= @t931 @t930) @t471))) % 1.14/1.36 (assume @p928 (forall @t89 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t88 @t84) (tptp.c_Int_OBit0 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t82 @t84))))) % 1.14/1.36 (assume @p929 (forall @t527 (=> @t547 (=> @t548 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t925 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t449 @t84)))))) % 1.14/1.36 (assume @p930 (forall @t510 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t928 @t927)))) % 1.14/1.36 (assume @p931 (forall @t510 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t925 @t924)))) % 1.14/1.36 (assume @p932 (forall @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t937)))) % 1.14/1.36 (assume @p933 (forall @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t937))) % 1.14/1.36 (assume @p934 (forall @t216 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t289 @t214) @t214))) % 1.14/1.36 (assume @p935 (forall @t216 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t214 @t289) @t214))) % 1.14/1.36 (assume @p936 (forall @t940 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t33 @t560) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t939 @t938)))) % 1.14/1.36 (assume @p937 (forall @t735 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t560 @t33) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t942 @t941)))) % 1.14/1.36 (assume @p938 (forall @t578 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t577 @t217) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t736)))) % 1.14/1.36 (assume @p939 (forall @t459 (= (= @t918 @t412) @t943))) % 1.14/1.36 (assume @p940 (forall @t433 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t432 @t412) @t432))) % 1.14/1.36 (assume @p941 (forall @t459 (= (= @t412 @t918) @t943))) % 1.14/1.36 (assume @p942 (forall @t433 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t412 @t432) @t432))) % 1.14/1.36 (assume @p943 (forall @t735 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t944 @t33) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t942 @t941)))) % 1.14/1.36 (assume @p944 (forall @t940 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t33 @t944) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t939 @t938)))) % 1.14/1.36 (assume @p945 (forall (@list @t107 @t67 @t63 @t34) (=> @t77 (= (tptp.c_Groups_Otimes__class_Otimes @t65 @t351 @t107) (tptp.c_Groups_Oplus__class_Oplus @t65 (tptp.c_Groups_Otimes__class_Otimes @t65 @t63 @t107) (tptp.c_Groups_Otimes__class_Otimes @t65 @t67 @t107)))))) % 1.14/1.36 (assume @p946 (forall @t53 (=> @t60 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t700) (tptp.c_Groups_Otimes__class_Otimes @t34 @t945 (tptp.c_Groups_Osgn__class_Osgn @t34 @t46)))))) % 1.14/1.36 (assume @p947 (forall @t147 (=> @t739 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t707) (tptp.c_Groups_Otimes__class_Otimes @t34 @t946 (tptp.c_Groups_Osgn__class_Osgn @t34 @t111)))))) % 1.14/1.36 (assume @p948 (forall @t555 (= @t932 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t33 @t214)))) % 1.14/1.36 (assume @p949 (forall @t561 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t559 @t558) @t557) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t559 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t558 @t557))))) % 1.14/1.36 (assume @p950 (forall (@list @t82 @t596 @t166) (and (=> @t601 (= @t948 @t224)) (=> @t602 (= @t948 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t947 @t82)))))) % 1.14/1.36 (assume @p951 (forall @t603 (and (=> @t601 (= @t949 @t224)) (=> @t602 (= @t949 @t947))))) % 1.14/1.36 (assume @p952 (forall @t237 (=> @t77 (= (tptp.c_Groups_Otimes__class_Otimes @t65 @t75 @t67) @t75)))) % 1.14/1.36 (assume @p953 (forall @t236 (=> @t77 (= (tptp.c_Groups_Otimes__class_Otimes @t65 @t63 @t75) @t75)))) % 1.14/1.36 (assume @p954 (forall @t433 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t432) @t224))) % 1.14/1.36 (assume @p955 (forall @t446 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t224) @t224))) % 1.14/1.36 (assume @p956 (forall @t459 (= (= @t918 @t224) (or @t485 @t486)))) % 1.14/1.36 (assume @p957 (forall @t493 (= (= @t921 @t920) @t950))) % 1.14/1.36 (assume @p958 (forall @t657 (= (= @t923 @t922) @t950))) % 1.14/1.36 (assume @p959 (forall @t219 (=> @t633 (=> @t661 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t44 @t111)))))) % 1.14/1.36 (assume @p960 (forall @t378 (not (= (tptp.c_Transcendental_Ocos @t674) @t12)))) % 1.14/1.36 (assume @p961 (forall @t444 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t440 @t439) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t951)))) % 1.14/1.36 (assume @p962 (forall @t444 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t441 @t432) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t432 @t951)))) % 1.14/1.36 (assume @p963 (forall @t510 (=> @t572 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t210 @t82) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t82 @t211) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t82 @t449)))))) % 1.14/1.36 (assume @p964 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t931 @t930) @t541))) % 1.14/1.36 (assume @p965 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t917 @t350))) % 1.14/1.36 (assume @p966 (forall @t73 (=> @t62 @t952))) % 1.14/1.36 (assume @p967 (forall @t125 (=> @t60 (= (= @t953 @t70) @t204)))) % 1.14/1.36 (assume @p968 (forall @t81 (=> @t62 (= (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t78) @t70) @t79)))) % 1.14/1.36 (assume @p969 (forall @t73 (=> (tptp.class_Groups_Osgn__if @t34) @t952))) % 1.14/1.36 (assume @p970 (forall @t43 (=> @t60 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t945) @t945)))) % 1.14/1.36 (assume @p971 (forall @t433 (= (tptp.c_RComplete_Onatceiling @t445) @t432))) % 1.14/1.36 (assume @p972 (forall @t73 (=> @t36 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t288) @t288)))) % 1.14/1.36 (assume @p973 (= (tptp.c_Transcendental_Ocos @t12) @t350)) % 1.14/1.36 (assume @p974 (forall @t378 (= (tptp.c_Transcendental_Ocos @t415) @t917))) % 1.14/1.36 (assume @p975 (forall @t45 (=> @t62 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t188) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t946))))) % 1.14/1.36 (assume @p976 (forall @t444 (=> (= @t440 @t951) (or (= @t432 @t412) @t470)))) % 1.14/1.36 (assume @p977 (forall @t444 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t951) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t536 @t445)))) % 1.14/1.36 (assume @p978 (forall @t444 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t440 @t432)) @t289) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t440) @t289)))) % 1.14/1.36 (assume @p979 (forall @t125 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t70 @t953) @t263)))) % 1.14/1.36 (assume @p980 (forall @t125 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t953 @t70) @t124)))) % 1.14/1.36 (assume @p981 (forall @t378 (= @t915 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 @t377)))) % 1.14/1.36 (assume @p982 (forall @t45 (=> @t60 (= (tptp.c_Groups_Otimes__class_Otimes @t34 @t946 @t192) @t44)))) % 1.14/1.36 (assume @p983 (forall (@list @t82 @t34) (=> @t60 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t82) (tptp.c_Groups_Otimes__class_Otimes @t34 @t82 (tptp.c_Groups_Osgn__class_Osgn @t34 @t82)))))) % 1.14/1.36 (assume @p984 (= (tptp.c_RComplete_Onatceiling @t12) @t224)) % 1.14/1.36 (assume @p985 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t916))) % 1.14/1.36 (assume @p986 (forall @t219 (=> @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t916 (tptp.c_RComplete_Onatceiling @t111))))) % 1.14/1.36 (assume @p987 (forall @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t916)))) % 1.14/1.36 (assume @p988 (forall @t433 (= (tptp.c_RComplete_Onatceiling @t906) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t432)))) % 1.14/1.36 (assume @p989 (forall @t683 (=> @t687 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 tptp.c_Transcendental_Opi) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t917 (tptp.c_Transcendental_Ocos @t111))))))) % 1.14/1.36 (assume @p990 (forall @t957 (=> @t956 (tptp.class_Groups_Ocancel__comm__monoid__add @t955)))) % 1.14/1.36 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p994 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p995 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p996 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p998 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p999 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1000 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1001 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1002 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1004 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1005 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1006 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1007 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1008 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1009 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1010 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1014 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1015 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1016 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1018 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1019 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1020 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1021 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1023 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1024 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1026 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1027 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1028 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1029 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1030 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1031 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1032 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1033 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1034 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1035 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1036 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1037 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1038 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1039 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1040 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1041 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1042 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1043 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1044 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1045 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1046 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1047 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1048 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1049 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.14/1.36 (assume @p1050 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1051 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1052 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1053 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1054 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1055 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1056 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1057 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1058 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1059 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1060 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1061 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1062 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1063 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1064 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1065 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1066 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1067 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1068 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1071 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1072 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1073 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1074 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1075 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1076 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1077 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1078 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1079 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1080 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1081 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.14/1.36 (assume @p1082 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1083 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1084 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1085 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1086 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1087 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1088 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1089 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1090 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1091 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1092 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1093 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1094 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1095 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1096 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1097 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1098 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1099 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1100 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1101 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1102 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1103 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1104 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1106 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1107 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1108 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1109 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1110 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1111 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1112 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1113 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1114 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1115 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1116 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1117 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1119 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1120 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1121 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1122 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1123 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1124 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1125 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1126 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1127 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1128 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1129 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1130 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1131 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1132 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1133 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1134 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1135 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1136 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1137 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1138 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1139 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1140 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1141 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1142 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1143 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1144 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1145 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1146 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1147 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1148 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.14/1.36 (assume @p1149 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1150 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1151 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1152 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1153 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1154 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1155 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1156 @t958) % 1.14/1.36 (assume @p1157 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1158 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1159 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1160 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1161 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1162 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1163 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1164 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1165 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1166 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1167 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1168 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1169 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1170 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1171 @t959) % 1.14/1.36 (assume @p1172 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1173 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1174 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1175 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1176 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1177 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1178 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1179 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1180 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1181 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1182 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1183 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1184 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1185 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1186 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1187 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1188 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1189 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (assume @p1190 (forall @t957 (=> @t960 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t955)))) % 1.14/1.36 (assume @p1191 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t955)))) % 1.14/1.36 (assume @p1192 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t955)))) % 1.14/1.36 (assume @p1193 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__comm__semiring__strict @t955)))) % 1.14/1.36 (assume @p1194 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__semiring__1__strict @t955)))) % 1.14/1.36 (assume @p1195 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__semiring__strict @t955)))) % 1.14/1.36 (assume @p1196 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__ab__semigroup__add @t955)))) % 1.14/1.36 (assume @p1197 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__ab__group__add__abs @t955)))) % 1.14/1.36 (assume @p1198 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__comm__monoid__add @t955)))) % 1.14/1.36 (assume @p1199 (forall @t957 (=> @t961 (tptp.class_Groups_Olinordered__ab__group__add @t955)))) % 1.14/1.36 (assume @p1200 (forall @t957 (=> @t956 (tptp.class_Groups_Ocancel__ab__semigroup__add @t955)))) % 1.14/1.36 (assume @p1201 (forall @t957 (=> @t960 (tptp.class_Rings_Oring__1__no__zero__divisors @t955)))) % 1.14/1.36 (assume @p1202 (forall @t957 (=> @t961 (tptp.class_Rings_Oordered__cancel__semiring @t955)))) % 1.14/1.36 (assume @p1203 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__ring__strict @t955)))) % 1.14/1.36 (assume @p1204 (forall @t957 (=> @t960 (tptp.class_Rings_Oring__no__zero__divisors @t955)))) % 1.14/1.36 (assume @p1205 (forall @t957 (=> @t961 (tptp.class_Rings_Oordered__comm__semiring @t955)))) % 1.14/1.36 (assume @p1206 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__semiring__1 @t955)))) % 1.14/1.36 (assume @p1207 (forall @t957 (=> @t961 (tptp.class_Groups_Oordered__ab__group__add @t955)))) % 1.14/1.36 (assume @p1208 (forall @t957 (=> @t956 (tptp.class_Groups_Ocancel__semigroup__add @t955)))) % 1.14/1.36 (assume @p1209 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__semiring @t955)))) % 1.14/1.36 (assume @p1210 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__semidom @t955)))) % 1.14/1.36 (assume @p1211 (forall @t957 (=> @t962 (tptp.class_Groups_Oab__semigroup__mult @t955)))) % 1.14/1.36 (assume @p1212 (forall @t957 (=> @t963 (tptp.class_Groups_Ocomm__monoid__mult @t955)))) % 1.14/1.36 (assume @p1213 (forall @t957 (=> @t964 (tptp.class_Groups_Oab__semigroup__add @t955)))) % 1.14/1.36 (assume @p1214 (forall @t957 (=> @t961 (tptp.class_Rings_Oordered__semiring @t955)))) % 1.14/1.36 (assume @p1215 (forall @t957 (=> @t961 (tptp.class_Rings_Oordered__ring__abs @t955)))) % 1.14/1.36 (assume @p1216 (forall @t957 (=> @t960 (tptp.class_Rings_Ono__zero__divisors @t955)))) % 1.14/1.36 (assume @p1217 (forall @t957 (=> @t964 (tptp.class_Groups_Ocomm__monoid__add @t955)))) % 1.14/1.36 (assume @p1218 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__ring @t955)))) % 1.14/1.36 (assume @p1219 (forall @t957 (=> @t961 (tptp.class_Rings_Olinordered__idom @t955)))) % 1.14/1.36 (assume @p1220 (forall @t957 (=> @t963 (tptp.class_Rings_Ocomm__semiring__1 @t955)))) % 1.14/1.36 (assume @p1221 (forall @t957 (=> @t962 (tptp.class_Rings_Ocomm__semiring__0 @t955)))) % 1.14/1.36 (assume @p1222 (forall @t957 (=> @t962 (tptp.class_Rings_Ocomm__semiring @t955)))) % 1.14/1.36 (assume @p1223 (forall @t957 (=> @t965 (tptp.class_Groups_Oab__group__add @t955)))) % 1.14/1.36 (assume @p1224 (forall @t957 (=> @t963 (tptp.class_Rings_Ozero__neq__one @t955)))) % 1.14/1.36 (assume @p1225 (forall @t957 (=> @t961 (tptp.class_Rings_Oordered__ring @t955)))) % 1.14/1.36 (assume @p1226 (forall @t957 (=> @t961 (tptp.class_Orderings_Olinorder @t955)))) % 1.14/1.36 (assume @p1227 (forall @t957 (=> @t963 (tptp.class_Groups_Omonoid__mult @t955)))) % 1.14/1.36 (assume @p1228 (forall @t957 (=> @t966 (tptp.class_Rings_Ocomm__ring__1 @t955)))) % 1.14/1.36 (assume @p1229 (forall @t957 (=> @t964 (tptp.class_Groups_Omonoid__add @t955)))) % 1.14/1.36 (assume @p1230 (forall @t957 (=> @t963 (tptp.class_Rings_Osemiring__1 @t955)))) % 1.14/1.36 (assume @p1231 (forall @t957 (=> @t965 (tptp.class_Groups_Ogroup__add @t955)))) % 1.14/1.36 (assume @p1232 (forall @t957 (=> @t962 (tptp.class_Rings_Omult__zero @t955)))) % 1.14/1.36 (assume @p1233 (forall @t957 (=> @t967 (tptp.class_Rings_Ocomm__ring @t955)))) % 1.14/1.36 (assume @p1234 (forall @t957 (=> @t961 (tptp.class_Int_Oring__char__0 @t955)))) % 1.14/1.36 (assume @p1235 (forall @t957 (=> @t966 (tptp.class_Int_Onumber__ring @t955)))) % 1.14/1.36 (assume @p1236 (forall @t957 (=> @t962 (tptp.class_Rings_Osemiring @t955)))) % 1.14/1.36 (assume @p1237 (forall @t957 (=> @t961 (tptp.class_Groups_Osgn__if @t955)))) % 1.14/1.36 (assume @p1238 (forall @t957 (=> @t961 (tptp.class_Groups_Oabs__if @t955)))) % 1.14/1.36 (assume @p1239 (forall @t957 (=> @t966 (tptp.class_Rings_Oring__1 @t955)))) % 1.14/1.36 (assume @p1240 (forall @t957 (=> (tptp.class_Groups_Ozero @t954) (tptp.class_Groups_Ozero @t955)))) % 1.14/1.36 (assume @p1241 (forall @t957 (=> @t967 (tptp.class_Rings_Oring @t955)))) % 1.14/1.36 (assume @p1242 (forall @t957 (=> @t960 (tptp.class_Rings_Oidom @t955)))) % 1.14/1.36 (assume @p1243 (forall @t957 (=> @t966 (tptp.class_Int_Onumber @t955)))) % 1.14/1.36 (assume @p1244 (forall @t957 (=> @t963 (tptp.class_Groups_Oone @t955)))) % 1.14/1.36 (assume @p1245 (not @t20)) % 1.14/1.36 (assume @p1246 true) % 1.14/1.36 (step @p1247 :rule evaluate :args ((= false true))) % 1.14/1.36 (step @p1248 :rule true_intro :premises (@p7)) % 1.14/1.36 (step @p1249 :rule refl :args (@t16)) % 1.14/1.36 (step @p1250 :rule bool-impl-elim :args (@t62 @t968)) % 1.14/1.36 (step @p1251 :rule cong :premises (@p1250) :args ((forall @t73 (=> @t62 @t968)))) % 1.14/1.36 (step @p1252 :rule eq-symm :args (@t71 @t12)) % 1.14/1.36 (step @p1253 :rule refl :args (@t62)) % 1.14/1.36 (step @p1254 :rule cong :premises (@p1253 @p1252) :args (@t72)) % 1.14/1.36 (step @p1255 :rule cong :premises (@p1254) :args (@t74)) % 1.14/1.36 (step @p1256 :rule trans :premises (@p1255 @p1251)) % 1.14/1.36 (step @p1257 :rule eq_resolve :premises (@p19 @p1256)) % 1.14/1.36 (step @p1258 :rule instantiate :premises (@p1257) :args ((@list tptp.tc_Complex_Ocomplex))) % 1.14/1.36 (step @p1259 :rule cnf_or_pos :args (@t971)) % 1.14/1.36 (step @p1260 :rule reordering :premises (@p1259) :args ((or @t970 @t969 (not @t971)))) % 1.14/1.36 (step @p1261 :rule chain_m_resolution :premises (@p1260 @p1156 @p1258) :args (@t969 @t972 (@list @t958 @t971))) % 1.14/1.36 (step @p1262 :rule symm :premises (@p1261)) % 1.14/1.36 (step @p1263 :rule bool-impl-elim :args (@t235 @t973)) % 1.14/1.36 (step @p1264 :rule cong :premises (@p1263) :args ((forall @t61 (=> @t235 @t973)))) % 1.14/1.36 (step @p1265 :rule eq-symm :args (@t244 @t70)) % 1.14/1.36 (step @p1266 :rule eq-symm :args (@t55 @t54)) % 1.14/1.36 (step @p1267 :rule cong :premises (@p1266 @p1265) :args (@t254)) % 1.14/1.36 (step @p1268 :rule refl :args (@t235)) % 1.14/1.36 (step @p1269 :rule cong :premises (@p1268 @p1267) :args (@t255)) % 1.14/1.36 (step @p1270 :rule cong :premises (@p1269) :args (@t256)) % 1.14/1.36 (step @p1271 :rule trans :premises (@p1270 @p1264)) % 1.14/1.36 (step @p1272 :rule eq_resolve :premises (@p121 @p1271)) % 1.14/1.36 (step @p1273 :rule refl :args (@t974)) % 1.14/1.36 (step @p1274 :rule eq-symm :args (@t642 @t18)) % 1.14/1.36 (step @p1275 :rule cong :premises (@p1274 @p1273) :args ((= @t975 @t974))) % 1.14/1.36 (step @p1276 :rule eq-symm :args (@t974 @t975)) % 1.14/1.36 (step @p1277 :rule trans :premises (@p1276 @p1275)) % 1.14/1.36 (step @p1278 :rule refl :args (@t976)) % 1.14/1.36 (step @p1279 :rule nary_cong :premises (@p1278 @p1277) :args (@t977)) % 1.14/1.36 (step @p1280 :rule refl :args (@t978)) % 1.14/1.36 (step @p1281 :rule cong :premises (@p1280 @p1279) :args ((=> @t978 @t977))) % 1.14/1.36 (assume-push @p1382 @t978) % 1.14/1.36 (step @p1283 :rule instantiate :premises (@p1272) :args (@t979)) % 1.14/1.36 (step-pop @p1383 :rule scope :premises (@p1283)) % 1.14/1.36 (step @p1284 :rule process_scope :premises (@p1383) :args (@t977)) % 1.14/1.36 (step @p1286 :rule eq_resolve :premises (@p1284 @p1281)) % 1.14/1.36 (step @p1287 :rule implies_elim :premises (@p1286)) % 1.14/1.36 (step @p1288 :rule chain_m_resolution :premises (@p1287 @p1272) :args (@t982 @t983 @t984)) % 1.14/1.36 (step @p1289 :rule cnf_or_pos :args (@t982)) % 1.14/1.36 (step @p1290 :rule reordering :premises (@p1289) :args ((or @t976 @t981 (not @t982)))) % 1.14/1.36 (step @p1291 :rule chain_m_resolution :premises (@p1290 @p1171 @p1288) :args (@t981 @t972 (@list @t959 @t982))) % 1.14/1.36 (step @p1292 :rule eq-symm :args (tptp.v_z____ tptp.v_wa____)) % 1.14/1.36 (step @p1293 :rule eq-symm :args (@t642 @t5)) % 1.14/1.36 (step @p1294 :rule cong :premises (@p1293 @p1292) :args ((= @t986 @t985))) % 1.14/1.36 (step @p1295 :rule eq-symm :args (@t985 @t986)) % 1.14/1.36 (step @p1296 :rule trans :premises (@p1295 @p1294)) % 1.14/1.36 (step @p1297 :rule nary_cong :premises (@p1278 @p1296) :args (@t987)) % 1.14/1.36 (step @p1298 :rule cong :premises (@p1280 @p1297) :args ((=> @t978 @t987))) % 1.14/1.36 (assume-push @p1384 @t978) % 1.14/1.36 (step @p1300 :rule instantiate :premises (@p1272) :args ((@list tptp.v_z____ tptp.v_wa____ tptp.tc_Complex_Ocomplex))) % 1.14/1.36 (step-pop @p1385 :rule scope :premises (@p1300)) % 1.14/1.36 (step @p1301 :rule process_scope :premises (@p1385) :args (@t987)) % 1.14/1.36 (step @p1303 :rule eq_resolve :premises (@p1301 @p1298)) % 1.14/1.36 (step @p1304 :rule implies_elim :premises (@p1303)) % 1.14/1.36 (step @p1305 :rule chain_m_resolution :premises (@p1304 @p1272) :args (@t991 @t983 @t984)) % 1.14/1.36 (step @p1306 :rule cnf_or_pos :args (@t991)) % 1.14/1.36 (step @p1307 :rule reordering :premises (@p1306) :args ((or @t976 @t990 (not @t991)))) % 1.14/1.36 (step @p1308 :rule chain_m_resolution :premises (@p1307 @p1171 @p1305) :args (@t990 @t972 (@list @t959 @t991))) % 1.14/1.36 (step @p1309 :rule bool-impl-elim :args (@t62 @t992)) % 1.14/1.36 (step @p1310 :rule cong :premises (@p1309) :args ((forall @t81 (=> @t62 @t992)))) % 1.14/1.36 (step @p1311 :rule eq-symm :args (@t78 @t70)) % 1.14/1.36 (step @p1312 :rule cong :premises (@p1311) :args (@t114)) % 1.14/1.36 (step @p1313 :rule refl :args (@t115)) % 1.14/1.36 (step @p1314 :rule cong :premises (@p1313 @p1312) :args (@t116)) % 1.14/1.36 (step @p1315 :rule cong :premises (@p1253 @p1314) :args (@t117)) % 1.14/1.36 (step @p1316 :rule cong :premises (@p1315) :args (@t118)) % 1.14/1.36 (step @p1317 :rule trans :premises (@p1316 @p1310)) % 1.14/1.36 (step @p1318 :rule eq_resolve :premises (@p35 @p1317)) % 1.14/1.36 (step @p1319 :rule cong :premises (@p1293) :args (@t993)) % 1.14/1.36 (step @p1320 :rule refl :args (@t21)) % 1.14/1.36 (step @p1321 :rule cong :premises (@p1320 @p1319) :args (@t994)) % 1.14/1.36 (step @p1322 :rule refl :args (@t970)) % 1.14/1.36 (step @p1323 :rule nary_cong :premises (@p1322 @p1321) :args (@t995)) % 1.14/1.36 (step @p1324 :rule refl :args (@t996)) % 1.14/1.36 (step @p1325 :rule cong :premises (@p1324 @p1323) :args ((=> @t996 @t995))) % 1.14/1.36 (assume-push @p1386 @t996) % 1.14/1.36 (step @p1327 :rule instantiate :premises (@p1318) :args ((@list @t5 tptp.tc_Complex_Ocomplex))) % 1.14/1.36 (step-pop @p1387 :rule scope :premises (@p1327)) % 1.14/1.36 (step @p1328 :rule process_scope :premises (@p1387) :args (@t995)) % 1.14/1.36 (step @p1330 :rule eq_resolve :premises (@p1328 @p1325)) % 1.14/1.36 (step @p1331 :rule implies_elim :premises (@p1330)) % 1.14/1.36 (step @p1332 :rule chain_m_resolution :premises (@p1331 @p1318) :args (@t999 @t983 (@list @t996))) % 1.14/1.36 (step @p1333 :rule cnf_or_pos :args (@t999)) % 1.14/1.36 (step @p1334 :rule reordering :premises (@p1333) :args ((or @t970 @t998 (not @t999)))) % 1.14/1.36 (step @p1335 :rule chain_m_resolution :premises (@p1334 @p1156 @p1332) :args (@t998 @t972 (@list @t958 @t999))) % 1.14/1.36 (step @p1336 :rule implies_elim :premises (@p5)) % 1.14/1.36 (step @p1337 :rule reordering :premises (@p1336) :args ((or @t20 @t1000))) % 1.14/1.36 (step @p1338 :rule chain_m_resolution :premises (@p1337 @p1245) :args (@t1000 (@list true) (@list @t20))) % 1.14/1.36 (step @p1339 :rule cnf_and_neg :args (@t22)) % 1.14/1.36 (step @p1340 :rule reordering :premises (@p1339) :args ((or @t22 (not @t7) @t1001))) % 1.14/1.36 (step @p1341 :rule chain_m_resolution :premises (@p1340 @p1338 @p3) :args (@t1001 @t1002 (@list @t22 @t7))) % 1.14/1.36 (step @p1342 :rule bool-double-not-elim :args (@t989)) % 1.14/1.36 (step @p1343 :rule refl :args (@t1003)) % 1.14/1.36 (step @p1344 :rule nary_cong :premises (@p1343 @p1320 @p1342) :args ((or @t1003 @t21 (not @t997)))) % 1.14/1.36 (step @p1345 :rule cnf_equiv_pos2 :args (@t998)) % 1.14/1.36 (step @p1346 :rule eq_resolve :premises (@p1345 @p1344)) % 1.14/1.36 (step @p1347 :rule reordering :premises (@p1346) :args ((or @t21 @t989 @t1003))) % 1.14/1.36 (step @p1348 :rule chain_m_resolution :premises (@p1347 @p1341 @p1335) :args (@t989 @t1002 (@list @t21 @t998))) % 1.14/1.36 (step @p1349 :rule cnf_equiv_pos1 :args (@t990)) % 1.14/1.36 (step @p1350 :rule reordering :premises (@p1349) :args ((or @t997 @t988 (not @t990)))) % 1.14/1.36 (step @p1351 :rule chain_m_resolution :premises (@p1350 @p1348 @p1308) :args (@t988 @t972 (@list @t989 @t990))) % 1.14/1.36 (step @p1352 :rule symm :premises (@p1351)) % 1.14/1.36 (step @p1353 :rule refl :args (@t9)) % 1.14/1.36 (step @p1354 :rule cong :premises (@p1353 @p1352) :args (@t10)) % 1.14/1.36 (step @p1355 :rule cnf_equiv_pos2 :args (@t981)) % 1.14/1.36 (step @p1356 :rule reordering :premises (@p1355) :args ((or @t980 (not @t974) (not @t981)))) % 1.14/1.36 (step @p1357 :rule chain_m_resolution :premises (@p1356 @p1354 @p1291) :args (@t980 @t972 (@list @t974 @t981))) % 1.14/1.36 (step @p1358 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.14/1.36 (step @p1359 :rule cong :premises (@p1358 @p1357) :args (@t19)) % 1.14/1.36 (step @p1360 :rule trans :premises (@p1359 @p1262)) % 1.14/1.36 (step @p1361 :rule bool-impl-elim :args (@t62 @t185)) % 1.14/1.36 (step @p1362 :rule cong :premises (@p1361) :args (@t186)) % 1.14/1.36 (step @p1363 :rule eq_resolve :premises (@p75 @p1362)) % 1.14/1.36 (step @p1364 :rule instantiate :premises (@p1363) :args (@t979)) % 1.14/1.36 (step @p1365 :rule cnf_or_pos :args (@t1005)) % 1.14/1.36 (step @p1366 :rule reordering :premises (@p1365) :args ((or @t970 @t1004 (not @t1005)))) % 1.14/1.36 (step @p1367 :rule chain_m_resolution :premises (@p1366 @p1156 @p1364) :args (@t1004 @t972 (@list @t958 @t1005))) % 1.14/1.36 (step @p1368 :rule symm :premises (@p1367)) % 1.14/1.36 (step @p1369 :rule refl :args (@t10)) % 1.14/1.36 (step @p1370 :rule cong :premises (@p1358 @p1369 @p1354) :args (@t1006)) % 1.14/1.36 (step @p1371 :rule cong :premises (@p1358 @p1370) :args (@t1007)) % 1.14/1.36 (step @p1372 :rule trans :premises (@p1371 @p1368)) % 1.14/1.36 (step @p1373 :rule trans :premises (@p1372 @p1360)) % 1.14/1.36 (step @p1374 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.14/1.36 (step @p1375 :rule cong :premises (@p1374 @p1373 @p1249) :args ((tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1007 @t16))) % 1.14/1.36 (step @p1376 :rule symm :premises (@p1372)) % 1.14/1.36 (step @p1377 :rule cong :premises (@p1374 @p1376 @p1249) :args (@t20)) % 1.14/1.36 (step @p1378 :rule false_intro :premises (@p1245)) % 1.14/1.36 (step @p1379 :rule symm :premises (@p1378)) % 1.14/1.36 (step @p1380 :rule trans :premises (@p1379 @p1377 @p1375 @p1248)) % 1.14/1.36 (step @p1381 false :rule eq_resolve :premises (@p1380 @p1247)) % 1.14/1.36 ) % 1.14/1.36 % SZS output end Proof % 1.14/1.36 % cvc5 exiting %------------------------------------------------------------------------------