%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW230+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:33 AM UTC 2026 % Result : Theorem 1.12s 1.32s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW230+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 21:41:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.42/0.70 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.32 % SZS status Theorem % 1.12/1.32 % SZS output start Proof % 1.12/1.32 ( % 1.12/1.32 (declare-sort $$unsorted 0) % 1.12/1.32 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_f____ $$unsorted) % 1.12/1.32 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.12/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_p $$unsorted) % 1.12/1.32 (declare-const tptp.v_r $$unsorted) % 1.12/1.32 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.v_N1____ $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_z____ $$unsorted) % 1.12/1.32 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_N2____ $$unsorted) % 1.12/1.32 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.32 (declare-const tptp.v_w____ $$unsorted) % 1.12/1.32 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.c_Int_OPls $$unsorted) % 1.12/1.32 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_d____ $$unsorted) % 1.12/1.32 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.v_s____ $$unsorted) % 1.12/1.32 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.32 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.32 (define @t1 () (@var "V_c" $$unsorted)) % 1.12/1.32 (define @t2 () (@var "V_m" $$unsorted)) % 1.12/1.33 (define @t3 () (@var "V_a" $$unsorted)) % 1.12/1.33 (define @t4 () (@var "V_b" $$unsorted)) % 1.12/1.33 (define @t5 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p tptp.v_z____)) % 1.12/1.33 (define @t6 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_N1____ tptp.v_N2____)) % 1.12/1.33 (define @t7 () (tptp.hAPP tptp.v_f____ @t6)) % 1.12/1.33 (define @t8 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p (tptp.v_g____ @t7))) % 1.12/1.33 (define @t9 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t8 @t5))) % 1.12/1.33 (define @t10 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal tptp.v_s____)) % 1.12/1.33 (define @t11 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t8)) % 1.12/1.33 (define @t12 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t11 @t10))) % 1.12/1.33 (define @t13 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 @t9)) % 1.12/1.33 (define @t14 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t5)) % 1.12/1.33 (define @t15 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t14 @t10))) % 1.12/1.33 (define @t16 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15 @t13)) % 1.12/1.33 (define @t17 () (@var "V_n_1" $$unsorted)) % 1.12/1.33 (define @t18 () (@var "B_n" $$unsorted)) % 1.12/1.33 (define @t19 () (tptp.v_g____ @t18)) % 1.12/1.33 (define @t20 () (@list @t18)) % 1.12/1.33 (define @t21 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 1.12/1.33 (define @t22 () (tptp.c_Int_OBit0 @t21)) % 1.12/1.33 (define @t23 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t22)) % 1.12/1.33 (define @t24 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t15 @t23)) % 1.12/1.33 (define @t25 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t4 @t3) @t23)) % 1.12/1.33 (define @t26 () (@list @t3 @t4)) % 1.12/1.33 (define @t27 () (@var "V_a_2" $$unsorted)) % 1.12/1.33 (define @t28 () (@var "V_m_2" $$unsorted)) % 1.12/1.33 (define @t29 () (@var "V_b_2" $$unsorted)) % 1.12/1.33 (define @t30 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t29 @t28))) % 1.12/1.33 (define @t31 () (@var "V_e2_2" $$unsorted)) % 1.12/1.33 (define @t32 () (@var "V_x" $$unsorted)) % 1.12/1.33 (define @t33 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t32 @t23)) % 1.12/1.33 (define @t34 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t33 @t33)) % 1.12/1.33 (define @t35 () (@list @t32)) % 1.12/1.33 (define @t36 () (forall @t35 (= @t34 @t32))) % 1.12/1.33 (define @t37 () (@var "V_za_2" $$unsorted)) % 1.12/1.33 (define @t38 () (@var "V_y_2" $$unsorted)) % 1.12/1.33 (define @t39 () (@var "V_x_2" $$unsorted)) % 1.12/1.33 (define @t40 () (@var "V_z" $$unsorted)) % 1.12/1.33 (define @t41 () (@var "T_a" $$unsorted)) % 1.12/1.33 (define @t42 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t40 @t40)) % 1.12/1.33 (define @t43 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t22)) % 1.12/1.33 (define @t44 () (tptp.class_Int_Onumber__ring @t41)) % 1.12/1.33 (define @t45 () (@list @t40 @t41)) % 1.12/1.33 (define @t46 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t43 @t40)) % 1.12/1.33 (define @t47 () (=> @t44 (= @t46 @t42))) % 1.12/1.33 (define @t48 () (forall @t45 @t47)) % 1.12/1.33 (define @t49 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t23 @t15)) % 1.12/1.33 (define @t50 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t40)) % 1.12/1.33 (define @t51 () (@list @t40)) % 1.12/1.33 (define @t52 () (@var "V_e" $$unsorted)) % 1.12/1.33 (define @t53 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t54 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 tptp.v_r)) % 1.12/1.33 (define @t55 () (@var "B_y" $$unsorted)) % 1.12/1.33 (define @t56 () (@var "B_x" $$unsorted)) % 1.12/1.33 (define @t57 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t56)) % 1.12/1.33 (define @t58 () (@var "B_z" $$unsorted)) % 1.12/1.33 (define @t59 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t58))) % 1.12/1.33 (define @t60 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t58) tptp.v_r)) % 1.12/1.33 (define @t61 () (@list @t58)) % 1.12/1.33 (define @t62 () (@list @t56)) % 1.12/1.33 (define @t63 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t38)) % 1.12/1.33 (define @t64 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t39)) % 1.12/1.33 (define @t65 () (tptp.class_Rings_Olinordered__idom @t41)) % 1.12/1.33 (define @t66 () (and @t44 @t65)) % 1.12/1.33 (define @t67 () (@list @t38 @t39 @t41)) % 1.12/1.33 (define @t68 () (@var "V_k" $$unsorted)) % 1.12/1.33 (define @t69 () (@list @t68)) % 1.12/1.33 (define @t70 () (@var "V_l" $$unsorted)) % 1.12/1.33 (define @t71 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t70)) % 1.12/1.33 (define @t72 () (tptp.c_Int_OBit0 @t70)) % 1.12/1.33 (define @t73 () (tptp.c_Int_OBit0 @t68)) % 1.12/1.33 (define @t74 () (@list @t70 @t68)) % 1.12/1.33 (define @t75 () (@var "V_w" $$unsorted)) % 1.12/1.33 (define @t76 () (@list @t75)) % 1.12/1.33 (define @t77 () (tptp.c_Int_OBit0 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t68 @t70))) % 1.12/1.33 (define @t78 () (tptp.c_Int_OBit1 @t68)) % 1.12/1.33 (define @t79 () (@var "V_v_2" $$unsorted)) % 1.12/1.33 (define @t80 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t79)) % 1.12/1.33 (define @t81 () (@var "V_wa_2" $$unsorted)) % 1.12/1.33 (define @t82 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t81)) % 1.12/1.33 (define @t83 () (tptp.class_Int_Onumber @t41)) % 1.12/1.33 (define @t84 () (tptp.c_Int_OBit1 @t71)) % 1.12/1.33 (define @t85 () (tptp.c_Int_OBit1 @t70)) % 1.12/1.33 (define @t86 () (@var "V_ra_2" $$unsorted)) % 1.12/1.33 (define @t87 () (@list @t40 @t75)) % 1.12/1.33 (define @t88 () (= @t39 @t38)) % 1.12/1.33 (define @t89 () (@var "V_l_2" $$unsorted)) % 1.12/1.33 (define @t90 () (@var "V_k_2" $$unsorted)) % 1.12/1.33 (define @t91 () (= @t90 @t89)) % 1.12/1.33 (define @t92 () (tptp.c_Int_OBit1 @t89)) % 1.12/1.33 (define @t93 () (tptp.c_Int_OBit1 @t90)) % 1.12/1.33 (define @t94 () (@list @t89 @t90)) % 1.12/1.33 (define @t95 () (tptp.c_Int_OBit0 @t89)) % 1.12/1.33 (define @t96 () (tptp.c_Int_OBit0 @t90)) % 1.12/1.33 (define @t97 () (@var "V_v" $$unsorted)) % 1.12/1.33 (define @t98 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t97 @t75)) % 1.12/1.33 (define @t99 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t98)) % 1.12/1.33 (define @t100 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t75)) % 1.12/1.33 (define @t101 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t97)) % 1.12/1.33 (define @t102 () (@list @t40 @t75 @t97 @t41)) % 1.12/1.33 (define @t103 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t101 @t100)) % 1.12/1.33 (define @t104 () (@list @t75 @t97 @t41)) % 1.12/1.33 (define @t105 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t75)) % 1.12/1.33 (define @t106 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t105)) % 1.12/1.33 (define @t107 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t101 @t100)) % 1.12/1.33 (define @t108 () (@var "V_d" $$unsorted)) % 1.12/1.33 (define @t109 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t4)) % 1.12/1.33 (define @t110 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t4 @t108)) % 1.12/1.33 (define @t111 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t1)) % 1.12/1.33 (define @t112 () (tptp.class_Groups_Oab__group__add @t41)) % 1.12/1.33 (define @t113 () (@list @t108 @t4 @t1 @t3 @t41)) % 1.12/1.33 (define @t114 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t101 @t100)) % 1.12/1.33 (define @t115 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t100)) % 1.12/1.33 (define @t116 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t75)) % 1.12/1.33 (define @t117 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t116)) % 1.12/1.33 (define @t118 () (@list @t75 @t41)) % 1.12/1.33 (define @t119 () (@list @t70)) % 1.12/1.33 (define @t120 () (@list @t90)) % 1.12/1.33 (define @t121 () (@var "T_b" $$unsorted)) % 1.12/1.33 (define @t122 () (tptp.c_Int_Onumber__class_Onumber__of @t121 @t97)) % 1.12/1.33 (define @t123 () (tptp.c_Groups_Otimes__class_Otimes @t121 @t4 @t122)) % 1.12/1.33 (define @t124 () (tptp.c_Groups_Otimes__class_Otimes @t121 @t3 @t122)) % 1.12/1.33 (define @t125 () (tptp.class_Int_Onumber @t121)) % 1.12/1.33 (define @t126 () (and @t125 (tptp.class_Rings_Osemiring @t121))) % 1.12/1.33 (define @t127 () (@list @t97 @t4 @t3 @t121)) % 1.12/1.33 (define @t128 () (tptp.c_Groups_Otimes__class_Otimes @t121 @t122 @t1)) % 1.12/1.33 (define @t129 () (tptp.c_Groups_Otimes__class_Otimes @t121 @t122 @t4)) % 1.12/1.33 (define @t130 () (@list @t1 @t4 @t97 @t121)) % 1.12/1.33 (define @t131 () (and @t125 (tptp.class_Rings_Oring @t121))) % 1.12/1.33 (define @t132 () (tptp.c_Int_Onumber__class_Onumber__of @t41 tptp.c_Int_OPls)) % 1.12/1.33 (define @t133 () (@list @t3 @t41)) % 1.12/1.33 (define @t134 () (@var "V_fa_2" $$unsorted)) % 1.12/1.33 (define @t135 () (tptp.hAPP @t134 @t27)) % 1.12/1.33 (define @t136 () (tptp.hAPP @t134 @t29)) % 1.12/1.33 (define @t137 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t136 @t135) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t29 @t27))) % 1.12/1.33 (define @t138 () (@var "V_h" $$unsorted)) % 1.12/1.33 (define @t139 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t1)) % 1.12/1.33 (define @t140 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t4 @t108)) % 1.12/1.33 (define @t141 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t1 @t108)) % 1.12/1.33 (define @t142 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t4)) % 1.12/1.33 (define @t143 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t21)) % 1.12/1.33 (define @t144 () (tptp.class_Fields_Ofield @t41)) % 1.12/1.33 (define @t145 () (and @t144 @t44)) % 1.12/1.33 (define @t146 () (@list @t32 @t41)) % 1.12/1.33 (define @t147 () (@list @t81)) % 1.12/1.33 (define @t148 () (@var "B_N2" $$unsorted)) % 1.12/1.33 (define @t149 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t6))) % 1.12/1.33 (define @t150 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t149)) % 1.12/1.33 (define @t151 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t38)) % 1.12/1.33 (define @t152 () (@list @t38)) % 1.12/1.33 (define @t153 () (@var "B_za" $$unsorted)) % 1.12/1.33 (define @t154 () (@var "B_w" $$unsorted)) % 1.12/1.33 (define @t155 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t154)) % 1.12/1.33 (define @t156 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t155 @t5)) @t24)) % 1.12/1.33 (define @t157 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t154 tptp.v_z____))) % 1.12/1.33 (define @t158 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t157)) % 1.12/1.33 (define @t159 () (@list @t154)) % 1.12/1.33 (define @t160 () (@var "V_y" $$unsorted)) % 1.12/1.33 (define @t161 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 @t160)) % 1.12/1.33 (define @t162 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t161 @t23)) % 1.12/1.33 (define @t163 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t160)) % 1.12/1.33 (define @t164 () (@list @t160 @t32)) % 1.12/1.33 (define @t165 () (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____ @t18)) tptp.v_z____))) % 1.12/1.33 (define @t166 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t165 tptp.v_d____)) % 1.12/1.33 (define @t167 () (@var "V_n" $$unsorted)) % 1.12/1.33 (define @t168 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t167)) % 1.12/1.33 (define @t169 () (@list @t167)) % 1.12/1.33 (define @t170 () (@var "B_e" $$unsorted)) % 1.12/1.33 (define @t171 () (@var "B_N" $$unsorted)) % 1.12/1.33 (define @t172 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t171 @t18)) % 1.12/1.33 (define @t173 () (@list @t171)) % 1.12/1.33 (define @t174 () (tptp.c_Nat_OSuc @t18)) % 1.12/1.33 (define @t175 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t176 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t175 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t174)))) % 1.12/1.33 (define @t177 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t40)) % 1.12/1.33 (define @t178 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t75)) % 1.12/1.33 (define @t179 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t40 @t75)) % 1.12/1.33 (define @t180 () (@list @t75 @t40)) % 1.12/1.33 (define @t181 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t75 @t40)) % 1.12/1.33 (define @t182 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t40 @t75)) % 1.12/1.33 (define @t183 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t75 @t40)) % 1.12/1.33 (define @t184 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 @t75)) % 1.12/1.33 (define @t185 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t40 @t116)) % 1.12/1.33 (define @t186 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t40 @t75)) % 1.12/1.33 (define @t187 () (= @t32 @t160)) % 1.12/1.33 (define @t188 () (@list @t40 @t160 @t32)) % 1.12/1.33 (define @t189 () (@var "V_z2" $$unsorted)) % 1.12/1.33 (define @t190 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t75 @t189)) % 1.12/1.33 (define @t191 () (@var "V_z1" $$unsorted)) % 1.12/1.33 (define @t192 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t75 @t191)) % 1.12/1.33 (define @t193 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t191 @t189)) % 1.12/1.33 (define @t194 () (@list @t189 @t191 @t75)) % 1.12/1.33 (define @t195 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t191 @t189)) % 1.12/1.33 (define @t196 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t97)) % 1.12/1.33 (define @t197 () (@list @t75 @t97)) % 1.12/1.33 (define @t198 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t116)) % 1.12/1.33 (define @t199 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t90 @t89)) % 1.12/1.33 (define @t200 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t89)) % 1.12/1.33 (define @t201 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t90)) % 1.12/1.33 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t90 @t89)) % 1.12/1.33 (define @t203 () (@var "V_z3" $$unsorted)) % 1.12/1.33 (define @t204 () (@list @t203 @t189 @t191)) % 1.12/1.33 (define @t205 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t189 @t75)) % 1.12/1.33 (define @t206 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t191 @t75)) % 1.12/1.33 (define @t207 () (@list @t75 @t189 @t191)) % 1.12/1.33 (define @t208 () (@var "V_j" $$unsorted)) % 1.12/1.33 (define @t209 () (@var "V_i" $$unsorted)) % 1.12/1.33 (define @t210 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t209 @t208)) % 1.12/1.33 (define @t211 () (@list @t68 @t208 @t209)) % 1.12/1.33 (define @t212 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t209 @t208)) % 1.12/1.33 (define @t213 () (= @t40 @t75)) % 1.12/1.33 (define @t214 () (@var "V_z_H" $$unsorted)) % 1.12/1.33 (define @t215 () (@var "V_w_H" $$unsorted)) % 1.12/1.33 (define @t216 () (= @t27 @t29)) % 1.12/1.33 (define @t217 () (@var "V_c_2" $$unsorted)) % 1.12/1.33 (define @t218 () (not (= @t217 @t53))) % 1.12/1.33 (define @t219 () (@list @t29 @t27 @t217)) % 1.12/1.33 (define @t220 () (tptp.c_Nat_OSuc @t167)) % 1.12/1.33 (define @t221 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t220)) % 1.12/1.33 (define @t222 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t2)) % 1.12/1.33 (define @t223 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t167)) % 1.12/1.33 (define @t224 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t167 @t2)) % 1.12/1.33 (define @t225 () (@list @t2 @t167)) % 1.12/1.33 (define @t226 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t90)) % 1.12/1.33 (define @t227 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t90 tptp.c_Int_OPls)) % 1.12/1.33 (define @t228 () (@var "V_k2_2" $$unsorted)) % 1.12/1.33 (define @t229 () (@var "V_k1_2" $$unsorted)) % 1.12/1.33 (define @t230 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t229 @t228)) % 1.12/1.33 (define @t231 () (tptp.c_Int_OBit1 @t228)) % 1.12/1.33 (define @t232 () (tptp.c_Int_OBit0 @t229)) % 1.12/1.33 (define @t233 () (@list @t228 @t229)) % 1.12/1.33 (define @t234 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t229 @t228)) % 1.12/1.33 (define @t235 () (tptp.c_Int_OBit0 @t228)) % 1.12/1.33 (define @t236 () (tptp.c_Int_OBit1 @t229)) % 1.12/1.33 (define @t237 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t68 @t70)) % 1.12/1.33 (define @t238 () (tptp.c_Int_OBit0 @t237)) % 1.12/1.33 (define @t239 () (tptp.c_Groups_Ozero__class_Ozero @t41)) % 1.12/1.33 (define @t240 () (= @t27 @t239)) % 1.12/1.33 (define @t241 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t27 @t27)) % 1.12/1.33 (define @t242 () (tptp.class_Groups_Olinordered__ab__group__add @t41)) % 1.12/1.33 (define @t243 () (@list @t27 @t41)) % 1.12/1.33 (define @t244 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t39 @t38) @t239)) % 1.12/1.33 (define @t245 () (tptp.class_Groups_Ogroup__add @t41)) % 1.12/1.33 (define @t246 () (@var "V_n_2" $$unsorted)) % 1.12/1.33 (define @t247 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t246 @t28)) % 1.12/1.33 (define @t248 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t28)) % 1.12/1.33 (define @t249 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t246)) % 1.12/1.33 (define @t250 () (@list @t28 @t246)) % 1.12/1.33 (define @t251 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t246 @t28)) % 1.12/1.33 (define @t252 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t32)) % 1.12/1.33 (define @t253 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t38)) % 1.12/1.33 (define @t254 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t38 @t37)) % 1.12/1.33 (define @t255 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t39 @t37)) % 1.12/1.33 (define @t256 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t37)) % 1.12/1.33 (define @t257 () (@list @t38 @t39 @t37)) % 1.12/1.33 (define @t258 () (@list @t38 @t39)) % 1.12/1.33 (define @t259 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t38)) % 1.12/1.33 (define @t260 () (= @t39 @t53)) % 1.12/1.33 (define @t261 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t39 @t39)) % 1.12/1.33 (define @t262 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t39)) % 1.12/1.33 (define @t263 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t38)) % 1.12/1.33 (define @t264 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t198)) % 1.12/1.33 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t239)) % 1.12/1.33 (define @t266 () (= (tptp.c_Orderings_Oord__class_Oless @t41 @t241 @t239) @t265)) % 1.12/1.33 (define @t267 () (@list @t41)) % 1.12/1.33 (define @t268 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t3)) % 1.12/1.33 (define @t269 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t53)) % 1.12/1.33 (define @t270 () (@var "V_r" $$unsorted)) % 1.12/1.33 (define @t271 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t270)) % 1.12/1.33 (define @t272 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t270 @t53)) % 1.12/1.33 (define @t273 () (@list @t270)) % 1.12/1.33 (define @t274 () (@list @t38 @t41)) % 1.12/1.33 (define @t275 () (@list @t39 @t41)) % 1.12/1.33 (define @t276 () (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Int_OBit0 @t75))) % 1.12/1.33 (define @t277 () (= @t82 @t239)) % 1.12/1.33 (define @t278 () (=> @t277 @t240)) % 1.12/1.33 (define @t279 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t27 @t82)) % 1.12/1.33 (define @t280 () (not @t277)) % 1.12/1.33 (define @t281 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t29 @t82)) % 1.12/1.33 (define @t282 () (tptp.class_Fields_Ofield__inverse__zero @t41)) % 1.12/1.33 (define @t283 () (and @t282 @t83)) % 1.12/1.33 (define @t284 () (@list @t81 @t29 @t27 @t41)) % 1.12/1.33 (define @t285 () (= @t217 @t239)) % 1.12/1.33 (define @t286 () (=> @t285 @t277)) % 1.12/1.33 (define @t287 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t82 @t217)) % 1.12/1.33 (define @t288 () (not @t285)) % 1.12/1.33 (define @t289 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t29 @t217)) % 1.12/1.33 (define @t290 () (@list @t217 @t29 @t81 @t41)) % 1.12/1.33 (define @t291 () (@list @t81 @t217 @t29 @t41)) % 1.12/1.33 (define @t292 () (@list @t27 @t81 @t29 @t41)) % 1.12/1.33 (define @t293 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t40)) % 1.12/1.33 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t75)) % 1.12/1.33 (define @t295 () (= @t246 @t28)) % 1.12/1.33 (define @t296 () (tptp.c_Orderings_Oord__class_Oless @t41 @t82 @t239)) % 1.12/1.33 (define @t297 () (not @t296)) % 1.12/1.33 (define @t298 () (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t279)) % 1.12/1.33 (define @t299 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t82)) % 1.12/1.33 (define @t300 () (not @t299)) % 1.12/1.33 (define @t301 () (tptp.c_Orderings_Oord__class_Oless @t41 @t279 @t29)) % 1.12/1.33 (define @t302 () (tptp.class_Fields_Olinordered__field__inverse__zero @t41)) % 1.12/1.33 (define @t303 () (and @t302 @t83)) % 1.12/1.33 (define @t304 () (tptp.c_Orderings_Oord__class_Oless @t41 @t217 @t239)) % 1.12/1.33 (define @t305 () (not @t304)) % 1.12/1.33 (define @t306 () (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t287)) % 1.12/1.33 (define @t307 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t217)) % 1.12/1.33 (define @t308 () (not @t307)) % 1.12/1.33 (define @t309 () (tptp.c_Orderings_Oord__class_Oless @t41 @t287 @t29)) % 1.12/1.33 (define @t310 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t27)) % 1.12/1.33 (define @t311 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t32)) % 1.12/1.33 (define @t312 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t311)) % 1.12/1.33 (define @t313 () (tptp.c_Orderings_Oord__class_Oless @t41 @t311 @t239)) % 1.12/1.33 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t239)) % 1.12/1.33 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t279)) % 1.12/1.33 (define @t316 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t279 @t29)) % 1.12/1.33 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t287)) % 1.12/1.33 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t287 @t29)) % 1.12/1.33 (define @t319 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t27)) % 1.12/1.33 (define @t320 () (and @t302 @t44)) % 1.12/1.33 (define @t321 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t167)) % 1.12/1.33 (define @t322 () (@list @t167 @t2)) % 1.12/1.33 (define @t323 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t32)) % 1.12/1.33 (define @t324 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t32 @t3)) % 1.12/1.33 (define @t325 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t324 @t4)) % 1.12/1.33 (define @t326 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t160 @t4)) % 1.12/1.33 (define @t327 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t160)) % 1.12/1.33 (define @t328 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t327 @t142)) % 1.12/1.33 (define @t329 () (tptp.class_Rings_Oring @t41)) % 1.12/1.33 (define @t330 () (@list @t4 @t3 @t160 @t32 @t41)) % 1.12/1.33 (define @t331 () (@var "V_u" $$unsorted)) % 1.12/1.33 (define @t332 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t167)) % 1.12/1.33 (define @t333 () (@var "V_s" $$unsorted)) % 1.12/1.33 (define @t334 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t160))) % 1.12/1.33 (define @t335 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t2)) % 1.12/1.33 (define @t336 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t70)) % 1.12/1.33 (define @t337 () (@var "B_d" $$unsorted)) % 1.12/1.33 (define @t338 () (forall @t159 (=> (and @t158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t157 @t337)) @t156))) % 1.12/1.33 (define @t339 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t337)) % 1.12/1.33 (define @t340 () (@list @t337)) % 1.12/1.33 (define @t341 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t175 @t149)) % 1.12/1.33 (define @t342 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t175 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t7)))) % 1.12/1.33 (define @t343 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t342)) % 1.12/1.33 (define @t344 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t341)) % 1.12/1.33 (define @t345 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (define @t346 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t345))) % 1.12/1.33 (define @t347 () (@var "V_z_2" $$unsorted)) % 1.12/1.33 (define @t348 () (tptp.c_Int_Onumber__class_Onumber__of @t121 @t75)) % 1.12/1.33 (define @t349 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t32)) % 1.12/1.33 (define @t350 () (= @t32 @t53)) % 1.12/1.33 (define @t351 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t352 () (tptp.c_Nat_OSuc @t351)) % 1.12/1.33 (define @t353 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.12/1.33 (define @t354 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.33 (define @t355 () (@var "V_S" $$unsorted)) % 1.12/1.33 (define @t356 () (@var "V_R" $$unsorted)) % 1.12/1.33 (define @t357 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 @t354)) % 1.12/1.33 (define @t358 () (= @t246 @t351)) % 1.12/1.33 (define @t359 () (@list @t246)) % 1.12/1.33 (define @t360 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t209)) % 1.12/1.33 (define @t361 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t209 @t354)) % 1.12/1.33 (define @t362 () (tptp.c_Groups_Oone__class_Oone @t41)) % 1.12/1.33 (define @t363 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t32)) % 1.12/1.33 (define @t364 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t362 @t100)) % 1.12/1.33 (define @t365 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t32)) % 1.12/1.33 (define @t366 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t246)) % 1.12/1.33 (define @t367 () (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t4)) % 1.12/1.33 (define @t368 () (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t3)) % 1.12/1.33 (define @t369 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t368 @t367)) % 1.12/1.33 (define @t370 () (= @t4 @t239)) % 1.12/1.33 (define @t371 () (not @t370)) % 1.12/1.33 (define @t372 () (= @t3 @t239)) % 1.12/1.33 (define @t373 () (not @t372)) % 1.12/1.33 (define @t374 () (tptp.class_Rings_Odivision__ring @t41)) % 1.12/1.33 (define @t375 () (@list @t4 @t3 @t41)) % 1.12/1.33 (define @t376 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t362 @t362)) % 1.12/1.33 (define @t377 () (tptp.class_RealVector_Oreal__normed__field @t41)) % 1.12/1.33 (define @t378 () (@list @t97 @t41)) % 1.12/1.33 (define @t379 () (tptp.c_Nat_OSuc @t246)) % 1.12/1.33 (define @t380 () (@var "B_f" $$unsorted)) % 1.12/1.33 (define @t381 () (tptp.hAPP @t380 @t56)) % 1.12/1.33 (define @t382 () (tptp.c_Int_OBit0 @t22)) % 1.12/1.33 (define @t383 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t32)) % 1.12/1.33 (define @t384 () (tptp.class_RealVector_Oreal__normed__div__algebra @t41)) % 1.12/1.33 (define @t385 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t171))) % 1.12/1.33 (define @t386 () (@var "V_X_2" $$unsorted)) % 1.12/1.33 (define @t387 () (tptp.c_RealVector_Onorm__class_Onorm @t121 (tptp.hAPP @t386 @t18))) % 1.12/1.33 (define @t388 () (@var "B_K" $$unsorted)) % 1.12/1.33 (define @t389 () (exists (@list @t388) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t388) (forall @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t387 @t388))))) % 1.12/1.33 (define @t390 () (tptp.class_RealVector_Oreal__normed__vector @t121)) % 1.12/1.33 (define @t391 () (@list @t386 @t121)) % 1.12/1.33 (define @t392 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.33 (define @t393 () (@list @t37)) % 1.12/1.33 (define @t394 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t392 @t40)) % 1.12/1.33 (define @t395 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 @t37)) % 1.12/1.33 (define @t396 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t392))) % 1.12/1.33 (define @t397 () (@list @t37 @t81)) % 1.12/1.33 (define @t398 () (@list @t246 @t28)) % 1.12/1.33 (define @t399 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.33 (define @t400 () (tptp.hAPP @t134 @t18)) % 1.12/1.33 (define @t401 () (@var "B_m" $$unsorted)) % 1.12/1.33 (define @t402 () (tptp.c_SEQ_Osubseq @t134)) % 1.12/1.33 (define @t403 () (@list @t134)) % 1.12/1.33 (define @t404 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1 @t53)) % 1.12/1.33 (define @t405 () (@var "V_x1" $$unsorted)) % 1.12/1.33 (define @t406 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t405)) % 1.12/1.33 (define @t407 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t405 @t160) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t32 @t331))) % 1.12/1.33 (define @t408 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t405)) % 1.12/1.33 (define @t409 () (@list @t331 @t160 @t405 @t32)) % 1.12/1.33 (define @t410 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t160)) % 1.12/1.33 (define @t411 () (tptp.class_RealVector_Oreal__normed__vector @t41)) % 1.12/1.33 (define @t412 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t22)) % 1.12/1.33 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t32)) % 1.12/1.33 (define @t414 () (= @t167 @t351)) % 1.12/1.33 (define @t415 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t22)) % 1.12/1.33 (define @t416 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t32 @t40)) @t392) @t108)) % 1.12/1.33 (define @t417 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t108)) % 1.12/1.33 (define @t418 () (@var "V_v_H" $$unsorted)) % 1.12/1.33 (define @t419 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t97 @t418))) % 1.12/1.33 (define @t420 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t418)) % 1.12/1.33 (define @t421 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t97)) % 1.12/1.33 (define @t422 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t421 @t420)) % 1.12/1.33 (define @t423 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 tptp.c_Int_OPls)) % 1.12/1.33 (define @t424 () (not @t423)) % 1.12/1.33 (define @t425 () (@list @t418 @t97)) % 1.12/1.33 (define @t426 () (tptp.c_Nat_OSuc @t2)) % 1.12/1.33 (define @t427 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t220)) % 1.12/1.33 (define @t428 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t2 @t167)) % 1.12/1.33 (define @t429 () (@var "V_nat_H_2" $$unsorted)) % 1.12/1.33 (define @t430 () (@var "V_nat_2" $$unsorted)) % 1.12/1.33 (define @t431 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t246)) % 1.12/1.33 (define @t432 () (= @t28 @t246)) % 1.12/1.33 (define @t433 () (not @t432)) % 1.12/1.33 (define @t434 () (not @t187)) % 1.12/1.33 (define @t435 () (= @t2 @t167)) % 1.12/1.33 (define @t436 () (not @t435)) % 1.12/1.33 (define @t437 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t2)) % 1.12/1.33 (define @t438 () (@var "V_t" $$unsorted)) % 1.12/1.33 (define @t439 () (@var "V_P_2" $$unsorted)) % 1.12/1.33 (define @t440 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t439 @t246) @t28))) % 1.12/1.33 (define @t441 () (@list @t246 @t90 @t28)) % 1.12/1.33 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t246)) % 1.12/1.33 (define @t443 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t28)) % 1.12/1.33 (define @t444 () (@list @t246 @t28 @t90)) % 1.12/1.33 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t68)) % 1.12/1.33 (define @t446 () (@list @t68 @t167 @t2)) % 1.12/1.33 (define @t447 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t2)) % 1.12/1.33 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t2 @t167)) % 1.12/1.33 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t208)) % 1.12/1.33 (define @t450 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t167 @t2)) % 1.12/1.33 (define @t451 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t167 @t68)) % 1.12/1.33 (define @t452 () (and (= @t28 @t399) (= @t246 @t399))) % 1.12/1.33 (define @t453 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t28 @t246)) % 1.12/1.33 (define @t454 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t208)) % 1.12/1.33 (define @t455 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t454 @t68)) % 1.12/1.33 (define @t456 () (@list @t2)) % 1.12/1.33 (define @t457 () (@var "V_nat_H" $$unsorted)) % 1.12/1.33 (define @t458 () (@var "V_nat_H_1" $$unsorted)) % 1.12/1.33 (define @t459 () (not @t414)) % 1.12/1.33 (define @t460 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t167)) % 1.12/1.33 (define @t461 () (= @t28 @t351)) % 1.12/1.33 (define @t462 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t28 @t246)) % 1.12/1.33 (define @t463 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t167)) % 1.12/1.33 (define @t464 () (not @t428)) % 1.12/1.33 (define @t465 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t2 @t220)) % 1.12/1.33 (define @t466 () (tptp.c_Nat_OSuc @t209)) % 1.12/1.33 (define @t467 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t208 @t68)) % 1.12/1.33 (define @t468 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t208)) % 1.12/1.33 (define @t469 () (tptp.c_Nat_OSuc @t28)) % 1.12/1.33 (define @t470 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t246 @t469)) % 1.12/1.33 (define @t471 () (= @t470 @t295)) % 1.12/1.33 (define @t472 () (or @t431 @t432)) % 1.12/1.33 (define @t473 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t379)) % 1.12/1.33 (define @t474 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t220)) % 1.12/1.33 (define @t475 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t426 @t167)) % 1.12/1.33 (define @t476 () (tptp.c_Nat_OSuc @t332)) % 1.12/1.33 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t379 @t28)) % 1.12/1.33 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t28 @t246)) % 1.12/1.33 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t2 @t220)) % 1.12/1.33 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t426 @t167)) % 1.12/1.33 (define @t481 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t208)) % 1.12/1.33 (define @t482 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t68 @t167)) % 1.12/1.33 (define @t483 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t68 @t70)) % 1.12/1.33 (define @t484 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t208 @t70)) % 1.12/1.33 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t68)) % 1.12/1.33 (define @t486 () (@list @t70 @t68 @t208 @t209)) % 1.12/1.33 (define @t487 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t208 @t68)) % 1.12/1.33 (define @t488 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t208)) % 1.12/1.33 (define @t489 () (@list @t2 @t208 @t209)) % 1.12/1.33 (define @t490 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t208 @t2)) % 1.12/1.33 (define @t491 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t208 @t209)) % 1.12/1.33 (define @t492 () (= @t90 @t351)) % 1.12/1.33 (define @t493 () (or @t432 @t492)) % 1.12/1.33 (define @t494 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t90 @t246)) % 1.12/1.33 (define @t495 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t90 @t28)) % 1.12/1.33 (define @t496 () (= @t495 @t494)) % 1.12/1.33 (define @t497 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t246 @t90)) % 1.12/1.33 (define @t498 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t28 @t90)) % 1.12/1.33 (define @t499 () (= @t2 @t351)) % 1.12/1.33 (define @t500 () (= @t223 @t351)) % 1.12/1.33 (define @t501 () (tptp.c_Nat_OSuc @t90)) % 1.12/1.33 (define @t502 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t501 @t246)) % 1.12/1.33 (define @t503 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t501 @t28)) % 1.12/1.33 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t167)) % 1.12/1.33 (define @t505 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t68)) % 1.12/1.33 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t505 @t167)) % 1.12/1.33 (define @t507 () (@list @t167 @t68 @t2)) % 1.12/1.33 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t70)) % 1.12/1.33 (define @t509 () (@var "B_k" $$unsorted)) % 1.12/1.33 (define @t510 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t28 @t509)) % 1.12/1.33 (define @t511 () (@list @t509)) % 1.12/1.33 (define @t512 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t426 @t167)) % 1.12/1.33 (define @t513 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t399)) % 1.12/1.33 (define @t514 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t70 @t2)) % 1.12/1.33 (define @t515 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t70 @t167)) % 1.12/1.33 (define @t516 () (@list @t70 @t167 @t2)) % 1.12/1.33 (define @t517 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t68)) % 1.12/1.33 (define @t518 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t167)) % 1.12/1.33 (define @t519 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t2)) % 1.12/1.33 (define @t520 () (@list @t167 @t2 @t68)) % 1.12/1.33 (define @t521 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t2)) % 1.12/1.33 (define @t522 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t208 @t68)) % 1.12/1.33 (define @t523 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t209 @t68)) % 1.12/1.33 (define @t524 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t208)) % 1.12/1.33 (define @t525 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t209)) % 1.12/1.33 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t68 @t2)) % 1.12/1.33 (define @t527 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t246 @t90)) % 1.12/1.33 (define @t528 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t90)) % 1.12/1.33 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t246)) % 1.12/1.33 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t28)) % 1.12/1.33 (define @t531 () (= @t38 @t239)) % 1.12/1.33 (define @t532 () (= @t39 @t239)) % 1.12/1.33 (define @t533 () (and @t532 @t531)) % 1.12/1.33 (define @t534 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t39 @t39)) % 1.12/1.33 (define @t535 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t534 (tptp.c_Groups_Otimes__class_Otimes @t41 @t38 @t38))) % 1.12/1.33 (define @t536 () (tptp.class_Rings_Olinordered__ring__strict @t41)) % 1.12/1.33 (define @t537 () (tptp.c_Nat_OSuc @t352)) % 1.12/1.33 (define @t538 () (@var "B_j" $$unsorted)) % 1.12/1.33 (define @t539 () (= @t246 @t352)) % 1.12/1.33 (define @t540 () (= @t28 @t352)) % 1.12/1.33 (define @t541 () (or (and @t540 @t358) (and @t461 @t539))) % 1.12/1.33 (define @t542 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.12/1.33 (define @t543 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t28)) % 1.12/1.33 (define @t544 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t21)) % 1.12/1.33 (define @t545 () (@list @t2 @t209)) % 1.12/1.33 (define @t546 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t90)) % 1.12/1.33 (define @t547 () (and @t546 @t431)) % 1.12/1.33 (define @t548 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t494)) % 1.12/1.33 (define @t549 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t68)) % 1.12/1.33 (define @t550 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t223) @t2)) % 1.12/1.33 (define @t551 () (@var "V_j_2" $$unsorted)) % 1.12/1.33 (define @t552 () (@var "V_i_2" $$unsorted)) % 1.12/1.33 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t552 @t90)) % 1.12/1.33 (define @t554 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t551 @t90)) % 1.12/1.33 (define @t555 () (@list @t90 @t551 @t552)) % 1.12/1.33 (define @t556 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t208 @t68)) % 1.12/1.33 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t556 @t209)) % 1.12/1.33 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t491 @t68)) % 1.12/1.33 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t208)) % 1.12/1.33 (define @t560 () (@list @t209 @t208 @t68)) % 1.12/1.33 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t556)) % 1.12/1.33 (define @t562 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t481 @t68)) % 1.12/1.33 (define @t563 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t551 @t552)) % 1.12/1.33 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t552 @t551)) % 1.12/1.33 (define @t565 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t363 (tptp.c_Groups_Otimes__class_Otimes @t41 @t160 @t160))) % 1.12/1.33 (define @t566 () (tptp.class_Rings_Olinordered__ring @t41)) % 1.12/1.33 (define @t567 () (@list @t160 @t32 @t41)) % 1.12/1.33 (define @t568 () (not @t531)) % 1.12/1.33 (define @t569 () (not @t532)) % 1.12/1.33 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 tptp.c_Int_OPls)) % 1.12/1.33 (define @t571 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t79)) % 1.12/1.33 (define @t572 () (@list @t79)) % 1.12/1.33 (define @t573 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t352 @t2)) % 1.12/1.33 (define @t574 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t352 @t167)) % 1.12/1.33 (define @t575 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t399))) % 1.12/1.33 (define @t576 () (not @t499)) % 1.12/1.33 (define @t577 () (@var "V_v_H_2" $$unsorted)) % 1.12/1.33 (define @t578 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t79 @t577)) % 1.12/1.33 (define @t579 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t577)) % 1.12/1.33 (define @t580 () (@list @t577 @t79)) % 1.12/1.33 (define @t581 () (=> @t546 @t478)) % 1.12/1.33 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t495 @t494)) % 1.12/1.33 (define @t583 () (tptp.hBOOL (tptp.hAPP @t439 @t337))) % 1.12/1.33 (define @t584 () (= @t27 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t337))) % 1.12/1.33 (define @t585 () (tptp.hBOOL (tptp.hAPP @t439 @t351))) % 1.12/1.33 (define @t586 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t27 @t29)) % 1.12/1.33 (define @t587 () (tptp.hBOOL (tptp.hAPP @t439 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t27 @t29)))) % 1.12/1.33 (define @t588 () (@list @t29 @t27 @t439)) % 1.12/1.33 (define @t589 () (tptp.c_Nat_OSuc @t208)) % 1.12/1.33 (define @t590 () (tptp.c_Nat_OSuc @t556)) % 1.12/1.33 (define @t591 () (@list @t2 @t208 @t68)) % 1.12/1.33 (define @t592 () (tptp.c_Int_OBit1 @t21)) % 1.12/1.33 (define @t593 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t592)) % 1.12/1.33 (define @t594 () (tptp.c_Nat_OSuc @t220)) % 1.12/1.33 (define @t595 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t420)) % 1.12/1.33 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t418 tptp.c_Int_OPls)) % 1.12/1.33 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t40)) % 1.12/1.33 (define @t598 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t421 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t420 @t68))) % 1.12/1.33 (define @t599 () (@var "V_q" $$unsorted)) % 1.12/1.33 (define @t600 () (= @t3 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t270 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t3 @t599)))) % 1.12/1.33 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t3)) % 1.12/1.33 (define @t602 () (@list @t599 @t270 @t3)) % 1.12/1.33 (define @t603 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t270)) % 1.12/1.33 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t331 @t32) (tptp.c_Groups_Otimes__class_Otimes @t41 @t97 @t160))) % 1.12/1.33 (define @t605 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t331 @t97) @t362)) % 1.12/1.33 (define @t606 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t97)) % 1.12/1.33 (define @t607 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t331)) % 1.12/1.33 (define @t608 () (@list @t97 @t331 @t160 @t3 @t32 @t41)) % 1.12/1.33 (define @t609 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t109)) % 1.12/1.33 (define @t610 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t4)) % 1.12/1.33 (define @t611 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t3)) % 1.12/1.33 (define @t612 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t611 @t610)) % 1.12/1.33 (define @t613 () (tptp.c_Orderings_Oord__class_Oless @t41 @t32 @t160)) % 1.12/1.33 (define @t614 () (= @t3 @t4)) % 1.12/1.33 (define @t615 () (= @t368 @t367)) % 1.12/1.33 (define @t616 () (tptp.class_Rings_Odivision__ring__inverse__zero @t41)) % 1.12/1.33 (define @t617 () (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t27)) % 1.12/1.33 (define @t618 () (@list @t29 @t27 @t41)) % 1.12/1.33 (define @t619 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t368) @t3)) % 1.12/1.33 (define @t620 () (tptp.class_Rings_Omult__zero @t41)) % 1.12/1.33 (define @t621 () (tptp.class_RealVector_Oreal__normed__algebra @t41)) % 1.12/1.33 (define @t622 () (@list @t160 @t41)) % 1.12/1.33 (define @t623 () (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t239) @t239)) % 1.12/1.33 (define @t624 () (= @t29 @t239)) % 1.12/1.33 (define @t625 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t27 @t29)) % 1.12/1.33 (define @t626 () (= @t142 @t239)) % 1.12/1.33 (define @t627 () (tptp.class_Rings_Ono__zero__divisors @t41)) % 1.12/1.33 (define @t628 () (tptp.class_Rings_Ozero__neq__one @t41)) % 1.12/1.33 (define @t629 () (@var "V_b_H" $$unsorted)) % 1.12/1.33 (define @t630 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t629)) % 1.12/1.33 (define @t631 () (@list @t629 @t4 @t3 @t41)) % 1.12/1.33 (define @t632 () (@var "V_xa" $$unsorted)) % 1.12/1.33 (define @t633 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t632 @t160)) % 1.12/1.33 (define @t634 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t632 @t32)) % 1.12/1.33 (define @t635 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t32 @t160)) % 1.12/1.33 (define @t636 () (@list @t160 @t32 @t632 @t41)) % 1.12/1.33 (define @t637 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t4 @t1)) % 1.12/1.33 (define @t638 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t1)) % 1.12/1.33 (define @t639 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t4)) % 1.12/1.33 (define @t640 () (@list @t1 @t4 @t3 @t41)) % 1.12/1.33 (define @t641 () (@var "V_a_H" $$unsorted)) % 1.12/1.33 (define @t642 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t641 @t4)) % 1.12/1.33 (define @t643 () (@list @t4 @t641 @t3 @t41)) % 1.12/1.33 (define @t644 () (@var "V_ya" $$unsorted)) % 1.12/1.33 (define @t645 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t160 @t644)) % 1.12/1.33 (define @t646 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t644)) % 1.12/1.33 (define @t647 () (@list @t644 @t160 @t32 @t41)) % 1.12/1.33 (define @t648 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t32 @t160)) % 1.12/1.33 (define @t649 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t4)) % 1.12/1.33 (define @t650 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t649)) % 1.12/1.33 (define @t651 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t142)) % 1.12/1.33 (define @t652 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t3)) % 1.12/1.33 (define @t653 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t652 @t4)) % 1.12/1.33 (define @t654 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t32)) % 1.12/1.33 (define @t655 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t29)) % 1.12/1.33 (define @t656 () (= @t27 @t655)) % 1.12/1.33 (define @t657 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t4 @t1)) % 1.12/1.33 (define @t658 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t1)) % 1.12/1.33 (define @t659 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t160 @t644)) % 1.12/1.33 (define @t660 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t32 @t644)) % 1.12/1.33 (define @t661 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t4)) % 1.12/1.33 (define @t662 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t3)) % 1.12/1.33 (define @t663 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t662 @t661)) % 1.12/1.33 (define @t664 () (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t142) @t663)) % 1.12/1.33 (define @t665 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t3)) % 1.12/1.33 (define @t666 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t239) @t239)) % 1.12/1.33 (define @t667 () (= @t368 @t239)) % 1.12/1.33 (define @t668 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t4 @t3)) % 1.12/1.33 (define @t669 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t4)) % 1.12/1.33 (define @t670 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t669)) % 1.12/1.33 (define @t671 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t32 @t160)) % 1.12/1.33 (define @t672 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t652) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t368))) % 1.12/1.33 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t239)) % 1.12/1.33 (define @t674 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t29)) % 1.12/1.33 (define @t675 () (or (and @t319 @t674) (and @t314 @t673))) % 1.12/1.33 (define @t676 () (or (and @t319 @t673) (and @t314 @t674))) % 1.12/1.33 (define @t677 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t142)) % 1.12/1.33 (define @t678 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t4)) % 1.12/1.33 (define @t679 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t3)) % 1.12/1.33 (define @t680 () (tptp.class_Rings_Oordered__cancel__semiring @t41)) % 1.12/1.33 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t142 @t239)) % 1.12/1.33 (define @t682 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t4 @t239)) % 1.12/1.33 (define @t683 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t4 @t3)) % 1.12/1.33 (define @t684 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t3 @t239)) % 1.12/1.33 (define @t685 () (tptp.class_Rings_Oordered__ring @t41)) % 1.12/1.33 (define @t686 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t638 @t637)) % 1.12/1.33 (define @t687 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t1)) % 1.12/1.33 (define @t688 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t3 @t4)) % 1.12/1.33 (define @t689 () (tptp.class_Rings_Oordered__semiring @t41)) % 1.12/1.33 (define @t690 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t1 @t4)) % 1.12/1.33 (define @t691 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t1 @t3)) % 1.12/1.33 (define @t692 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t691 @t690)) % 1.12/1.33 (define @t693 () (=> @t688 (=> @t687 @t692))) % 1.12/1.33 (define @t694 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t1 @t239)) % 1.12/1.33 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t4 @t3)) % 1.12/1.33 (define @t696 () (@list @t1 @t3 @t4 @t41)) % 1.12/1.33 (define @t697 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t4 @t108)) % 1.12/1.33 (define @t698 () (=> @t687 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t638 @t697))) % 1.12/1.33 (define @t699 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t1 @t108)) % 1.12/1.33 (define @t700 () (@list @t108 @t1 @t4 @t3 @t41)) % 1.12/1.33 (define @t701 () (tptp.c_Orderings_Oord__class_Oless @t41 @t691 @t690)) % 1.12/1.33 (define @t702 () (tptp.c_Orderings_Oord__class_Oless @t41 @t1 @t239)) % 1.12/1.33 (define @t703 () (tptp.c_Orderings_Oord__class_Oless @t41 @t4 @t3)) % 1.12/1.33 (define @t704 () (tptp.c_Orderings_Oord__class_Oless @t41 @t638 @t637)) % 1.12/1.33 (define @t705 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t1)) % 1.12/1.33 (define @t706 () (tptp.c_Orderings_Oord__class_Oless @t41 @t3 @t4)) % 1.12/1.33 (define @t707 () (=> @t706 (=> @t705 @t701))) % 1.12/1.33 (define @t708 () (tptp.class_Rings_Olinordered__semiring__strict @t41)) % 1.12/1.33 (define @t709 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t142)) % 1.12/1.33 (define @t710 () (tptp.c_Orderings_Oord__class_Oless @t41 @t4 @t239)) % 1.12/1.33 (define @t711 () (tptp.c_Orderings_Oord__class_Oless @t41 @t3 @t239)) % 1.12/1.33 (define @t712 () (tptp.c_Orderings_Oord__class_Oless @t41 @t142 @t239)) % 1.12/1.33 (define @t713 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t4)) % 1.12/1.33 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t27)) % 1.12/1.33 (define @t715 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t217 @t29)) % 1.12/1.33 (define @t716 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t217 @t27)) % 1.12/1.33 (define @t717 () (tptp.c_Orderings_Oord__class_Oless @t41 @t716 @t715)) % 1.12/1.33 (define @t718 () (@list @t29 @t27 @t217 @t41)) % 1.12/1.33 (define @t719 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t3)) % 1.12/1.33 (define @t720 () (=> @t719 @t713)) % 1.12/1.33 (define @t721 () (@list @t3 @t4 @t41)) % 1.12/1.33 (define @t722 () (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t29)) % 1.12/1.33 (define @t723 () (or (and @t307 @t722) (and @t304 @t714))) % 1.12/1.33 (define @t724 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t27 @t217)) % 1.12/1.33 (define @t725 () (@list @t29 @t217 @t27 @t41)) % 1.12/1.33 (define @t726 () (tptp.c_Orderings_Oord__class_Oless @t41 @t4 @t111)) % 1.12/1.33 (define @t727 () (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t4 @t1) @t726)) % 1.12/1.33 (define @t728 () (tptp.class_Rings_Olinordered__semidom @t41)) % 1.12/1.33 (define @t729 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t27)) % 1.12/1.33 (define @t730 () (@var "V_da_2" $$unsorted)) % 1.12/1.33 (define @t731 () (@var "V_e_2" $$unsorted)) % 1.12/1.33 (define @t732 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t29 @t27) @t731) @t730)) % 1.12/1.33 (define @t733 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t29 @t731) @t730)) % 1.12/1.33 (define @t734 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t27 @t731) @t217)) % 1.12/1.33 (define @t735 () (= @t734 @t733)) % 1.12/1.33 (define @t736 () (@list @t730 @t29 @t217 @t731 @t27 @t41)) % 1.12/1.33 (define @t737 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t27 @t29)) % 1.12/1.33 (define @t738 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t737 @t731) @t217)) % 1.12/1.33 (define @t739 () (= @t724 @t29)) % 1.12/1.33 (define @t740 () (= @t27 @t289)) % 1.12/1.33 (define @t741 () (= @t29 @t724)) % 1.12/1.33 (define @t742 () (= @t289 @t27)) % 1.12/1.33 (define @t743 () (@list @t27 @t29 @t217 @t41)) % 1.12/1.33 (define @t744 () (not (= @t1 @t239))) % 1.12/1.33 (define @t745 () (@list @t3 @t4 @t1 @t41)) % 1.12/1.33 (define @t746 () (@list @t4 @t3 @t1 @t41)) % 1.12/1.33 (define @t747 () (= @t39 @t362)) % 1.12/1.33 (define @t748 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t27 @t29)) % 1.12/1.33 (define @t749 () (@list @t27 @t29 @t41)) % 1.12/1.33 (define @t750 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t3)) % 1.12/1.33 (define @t751 () (=> @t373 (= @t750 @t362))) % 1.12/1.33 (define @t752 () (= @t670 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t649))) % 1.12/1.33 (define @t753 () (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t652 @t649) @t669)) % 1.12/1.33 (define @t754 () (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t142)) % 1.12/1.33 (define @t755 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t39)) % 1.12/1.33 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t41 @t729 @t29)) % 1.12/1.33 (define @t757 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t27)) % 1.12/1.33 (define @t758 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t383 @t410)) % 1.12/1.33 (define @t759 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t327)) % 1.12/1.33 (define @t760 () (= @t669 (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t367))) % 1.12/1.33 (define @t761 () (= @t368 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t362 @t3))) % 1.12/1.33 (define @t762 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t41)) % 1.12/1.33 (define @t763 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t160)) % 1.12/1.33 (define @t764 () (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t669) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t611 @t610))) % 1.12/1.33 (define @t765 () (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t368) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t611))) % 1.12/1.33 (define @t766 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t29)) % 1.12/1.33 (define @t767 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t716 @t715)) % 1.12/1.33 (define @t768 () (tptp.c_Orderings_Oord__class_Oless @t41 @t638 @t697)) % 1.12/1.33 (define @t769 () (=> @t687 @t768)) % 1.12/1.33 (define @t770 () (tptp.c_Orderings_Oord__class_Oless @t41 @t1 @t108)) % 1.12/1.33 (define @t771 () (=> @t687 @t706)) % 1.12/1.33 (define @t772 () (=> @t704 @t771)) % 1.12/1.33 (define @t773 () (tptp.class_Rings_Olinordered__semiring @t41)) % 1.12/1.33 (define @t774 () (@list @t4 @t1 @t3 @t41)) % 1.12/1.33 (define @t775 () (=> @t701 @t771)) % 1.12/1.33 (define @t776 () (=> @t705 @t688)) % 1.12/1.33 (define @t777 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t160 @t362)) % 1.12/1.33 (define @t778 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t160)) % 1.12/1.33 (define @t779 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t32)) % 1.12/1.33 (define @t780 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t160 @t32)) % 1.12/1.33 (define @t781 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t734 @t733)) % 1.12/1.33 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t41 @t734 @t733)) % 1.12/1.33 (define @t783 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t368 @t367)) % 1.12/1.33 (define @t784 () (=> @t373 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 @t3) @t362))) % 1.12/1.33 (define @t785 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t410 @t333)) % 1.12/1.33 (define @t786 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t383 @t270)) % 1.12/1.33 (define @t787 () (@list @t333 @t160 @t270 @t32 @t41)) % 1.12/1.33 (define @t788 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t635)) % 1.12/1.33 (define @t789 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t1 @t108)) % 1.12/1.33 (define @t790 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t639 @t789)) % 1.12/1.33 (define @t791 () (@var "V_q_H" $$unsorted)) % 1.12/1.33 (define @t792 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t629)) % 1.12/1.33 (define @t793 () (@var "V_r_H" $$unsorted)) % 1.12/1.33 (define @t794 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t793 @t629)) % 1.12/1.33 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t629 @t791) @t793)) % 1.12/1.33 (define @t796 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t795)) % 1.12/1.33 (define @t797 () (@list @t793 @t791 @t629)) % 1.12/1.33 (define @t798 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t793)) % 1.12/1.33 (define @t799 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t795 @t354)) % 1.12/1.33 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t791 @t599)) % 1.12/1.33 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t270 @t4)) % 1.12/1.33 (define @t802 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t4 @t599) @t270)) % 1.12/1.33 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t4 @t791) @t793) @t802)) % 1.12/1.33 (define @t804 () (@list @t270 @t599 @t793 @t791 @t4)) % 1.12/1.33 (define @t805 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t791)) % 1.12/1.33 (define @t806 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t629 @t4)) % 1.12/1.33 (define @t807 () (= @t802 @t795)) % 1.12/1.33 (define @t808 () (@list @t793 @t791 @t629 @t270 @t599 @t4)) % 1.12/1.33 (define @t809 () (@var "V_u_2" $$unsorted)) % 1.12/1.33 (define @t810 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t563 @t809) @t246)) % 1.12/1.33 (define @t811 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t551 @t809) @t246)) % 1.12/1.33 (define @t812 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t552 @t809) @t28)) % 1.12/1.33 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t812 @t811)) % 1.12/1.33 (define @t814 () (@list @t246 @t28 @t809 @t551 @t552)) % 1.12/1.33 (define @t815 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t552 @t551) @t809) @t28)) % 1.12/1.33 (define @t816 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t551 @t552)) % 1.12/1.33 (define @t817 () (@list @t246 @t28 @t809 @t552 @t551)) % 1.12/1.33 (define @t818 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t208 @t331)) % 1.12/1.33 (define @t819 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t209 @t331)) % 1.12/1.33 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t812 @t811)) % 1.12/1.33 (define @t821 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t819 @t2) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t818 @t167))) % 1.12/1.33 (define @t822 () (= @t812 @t811)) % 1.12/1.33 (define @t823 () (tptp.class_Fields_Olinordered__field @t41)) % 1.12/1.33 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t39 @t239)) % 1.12/1.33 (define @t825 () (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t39)) % 1.12/1.33 (define @t826 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t40)) % 1.12/1.33 (define @t827 () (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t669) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t662 @t661))) % 1.12/1.33 (define @t828 () (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t368) (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t662))) % 1.12/1.33 (define @t829 () (tptp.c_Orderings_Oord__class_Oless @t41 @t658 @t657)) % 1.12/1.33 (define @t830 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t671)) % 1.12/1.33 (define @t831 () (tptp.c_Orderings_Oord__class_Oless @t41 @t160 @t239)) % 1.12/1.33 (define @t832 () (tptp.c_Orderings_Oord__class_Oless @t41 @t32 @t239)) % 1.12/1.33 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t41 @t671 @t239)) % 1.12/1.33 (define @t834 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t160)) % 1.12/1.33 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t32)) % 1.12/1.33 (define @t836 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t29)) % 1.12/1.33 (define @t837 () (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t239)) % 1.12/1.33 (define @t838 () (=> @t285 @t240)) % 1.12/1.33 (define @t839 () (@list @t217 @t29 @t27 @t41)) % 1.12/1.33 (define @t840 () (@list @t27 @t217 @t29 @t41)) % 1.12/1.33 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t368)) % 1.12/1.33 (define @t842 () (tptp.c_Orderings_Oord__class_Oless @t41 @t368 @t239)) % 1.12/1.33 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t41 @t367 @t368)) % 1.12/1.33 (define @t844 () (tptp.c_Orderings_Oord__class_Oless @t41 @t368 @t367)) % 1.12/1.33 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t671)) % 1.12/1.33 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t671 @t239)) % 1.12/1.33 (define @t847 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t160 @t75)) % 1.12/1.33 (define @t848 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t32 @t40)) % 1.12/1.33 (define @t849 () (tptp.c_Orderings_Oord__class_Oless @t41 @t848 @t847)) % 1.12/1.33 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t75)) % 1.12/1.33 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t32 @t160)) % 1.12/1.33 (define @t852 () (@list @t40 @t75 @t160 @t32 @t41)) % 1.12/1.33 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t75 @t40)) % 1.12/1.33 (define @t854 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t32 @t239)) % 1.12/1.33 (define @t855 () (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t724)) % 1.12/1.33 (define @t856 () (tptp.c_Orderings_Oord__class_Oless @t41 @t724 @t29)) % 1.12/1.33 (define @t857 () (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t289)) % 1.12/1.33 (define @t858 () (tptp.c_Orderings_Oord__class_Oless @t41 @t289 @t27)) % 1.12/1.33 (define @t859 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t40 @t160)) % 1.12/1.33 (define @t860 () (@list @t40 @t32 @t160 @t41)) % 1.12/1.33 (define @t861 () (@list @t32 @t40 @t160 @t41)) % 1.12/1.33 (define @t862 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t1 @t4)) % 1.12/1.33 (define @t863 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t1 @t3)) % 1.12/1.33 (define @t864 () (=> @t709 (tptp.c_Orderings_Oord__class_Oless @t41 @t863 @t862))) % 1.12/1.33 (define @t865 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t32 @t859)) % 1.12/1.33 (define @t866 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t865 @t160)) % 1.12/1.33 (define @t867 () (not (= @t160 @t239))) % 1.12/1.33 (define @t868 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t40 @t32)) % 1.12/1.33 (define @t869 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t160 @t40)) % 1.12/1.33 (define @t870 () (not (= @t40 @t239))) % 1.12/1.33 (define @t871 () (@list @t160 @t32 @t40 @t41)) % 1.12/1.33 (define @t872 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t160 @t40)) % 1.12/1.33 (define @t873 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t75 @t160)) % 1.12/1.33 (define @t874 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t75 @t40)) % 1.12/1.33 (define @t875 () (@list @t75 @t32 @t40 @t160 @t41)) % 1.12/1.33 (define @t876 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t368 @t367)) % 1.12/1.33 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t367 @t368)) % 1.12/1.33 (define @t878 () (tptp.c_Rings_Oinverse__class_Odivide @t41 @t639 @t376)) % 1.12/1.33 (define @t879 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t39)) % 1.12/1.33 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t724)) % 1.12/1.33 (define @t881 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t724 @t29)) % 1.12/1.33 (define @t882 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t289)) % 1.12/1.33 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t289 @t27)) % 1.12/1.33 (define @t884 () (=> @t709 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t863 @t862))) % 1.12/1.33 (define @t885 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t662 @t661)) % 1.12/1.33 (define @t886 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t109)) % 1.12/1.33 (define @t887 () (tptp.class_Groups_Oordered__ab__group__add__abs @t41)) % 1.12/1.33 (define @t888 () (= @t4 @t1)) % 1.12/1.33 (define @t889 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t1 @t3)) % 1.12/1.33 (define @t890 () (tptp.class_Groups_Ocancel__semigroup__add @t41)) % 1.12/1.33 (define @t891 () (=> (= @t639 @t111) @t888)) % 1.12/1.33 (define @t892 () (= @t29 @t217)) % 1.12/1.33 (define @t893 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t217 @t27)) % 1.12/1.33 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t27 @t217)) % 1.12/1.33 (define @t895 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t27 @t29)) % 1.12/1.33 (define @t896 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t4 @t1)) % 1.12/1.33 (define @t897 () (= @t737 (tptp.c_Groups_Ominus__class_Ominus @t41 @t217 @t730))) % 1.12/1.33 (define @t898 () (@list @t730 @t217 @t29 @t27 @t41)) % 1.12/1.33 (define @t899 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t239) @t3)) % 1.12/1.33 (define @t900 () (tptp.class_Groups_Ocomm__monoid__add @t41)) % 1.12/1.33 (define @t901 () (tptp.class_Groups_Omonoid__add @t41)) % 1.12/1.33 (define @t902 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t239 @t3) @t3)) % 1.12/1.33 (define @t903 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t1 @t4)) % 1.12/1.33 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t889 @t903)) % 1.12/1.33 (define @t905 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t41)) % 1.12/1.33 (define @t906 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t111 @t896)) % 1.12/1.33 (define @t907 () (tptp.class_Groups_Oordered__ab__semigroup__add @t41)) % 1.12/1.33 (define @t908 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t217 @t29)) % 1.12/1.33 (define @t909 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t29 @t217)) % 1.12/1.33 (define @t910 () (tptp.c_Orderings_Oord__class_Oless @t41 @t889 @t903)) % 1.12/1.33 (define @t911 () (tptp.c_Orderings_Oord__class_Oless @t41 @t111 @t896)) % 1.12/1.33 (define @t912 () (tptp.c_Orderings_Oord__class_Oless @t41 @t111 @t110)) % 1.12/1.33 (define @t913 () (=> @t770 @t912)) % 1.12/1.33 (define @t914 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t41)) % 1.12/1.33 (define @t915 () (= @t737 @t239)) % 1.12/1.33 (define @t916 () (tptp.class_Groups_Oordered__ab__group__add @t41)) % 1.12/1.33 (define @t917 () (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t362) @t3)) % 1.12/1.33 (define @t918 () (tptp.class_Groups_Ocomm__monoid__mult @t41)) % 1.12/1.33 (define @t919 () (tptp.class_Groups_Omonoid__mult @t41)) % 1.12/1.33 (define @t920 () (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t362 @t3) @t3)) % 1.12/1.33 (define @t921 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t729 @t29)) % 1.12/1.33 (define @t922 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t639)) % 1.12/1.33 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t662 @t4)) % 1.12/1.33 (define @t924 () (tptp.c_Groups_Oabs__class_Oabs @t41 @t668)) % 1.12/1.33 (define @t925 () (tptp.class_Groups_Oordered__comm__monoid__add @t41)) % 1.12/1.33 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t4 @t111)) % 1.12/1.33 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t4 @t1)) % 1.12/1.33 (define @t928 () (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t639)) % 1.12/1.33 (define @t929 () (=> @t713 @t928)) % 1.12/1.33 (define @t930 () (tptp.c_Orderings_Oord__class_Oless @t41 @t639 @t239)) % 1.12/1.33 (define @t931 () (=> @t710 @t930)) % 1.12/1.33 (define @t932 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t652 @t3) @t239)) % 1.12/1.33 (define @t933 () (= @t662 @t3)) % 1.12/1.33 (define @t934 () (= @t109 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t649))) % 1.12/1.33 (define @t935 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t662 @t661)) % 1.12/1.33 (define @t936 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t652 @t4)) % 1.12/1.33 (define @t937 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t32)) % 1.12/1.33 (define @t938 () (= @t662 @t652)) % 1.12/1.33 (define @t939 () (=> @t711 @t938)) % 1.12/1.33 (define @t940 () (@var "B_N1" $$unsorted)) % 1.12/1.33 (define @t941 () (tptp.class_Rings_Ocomm__semiring__1 @t41)) % 1.12/1.33 (define @t942 () (@var "V_ry" $$unsorted)) % 1.12/1.33 (define @t943 () (@var "V_lx" $$unsorted)) % 1.12/1.33 (define @t944 () (@var "V_rx" $$unsorted)) % 1.12/1.33 (define @t945 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t944 @t942)) % 1.12/1.33 (define @t946 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 @t945)) % 1.12/1.33 (define @t947 () (@list @t942 @t944 @t943 @t41)) % 1.12/1.33 (define @t948 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 @t944)) % 1.12/1.33 (define @t949 () (@var "V_ly" $$unsorted)) % 1.12/1.33 (define @t950 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 @t949)) % 1.12/1.33 (define @t951 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t950 @t944)) % 1.12/1.33 (define @t952 () (@list @t944 @t949 @t943 @t41)) % 1.12/1.33 (define @t953 () (tptp.c_Groups_Otimes__class_Otimes @t41 @t950 @t945)) % 1.12/1.33 (define @t954 () (@list @t942 @t944 @t949 @t943 @t41)) % 1.12/1.33 (define @t955 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t789)) % 1.12/1.33 (define @t956 () (@list @t108 @t1 @t3 @t41)) % 1.12/1.33 (define @t957 () (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (define @t958 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t23 @t24)) % 1.12/1.33 (define @t959 () (= @t42 @t46)) % 1.12/1.33 (define @t960 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t24)) % 1.12/1.33 (define @t961 () (not @t957)) % 1.12/1.33 (define @t962 () (or @t961 (= @t960 @t958))) % 1.12/1.33 (define @t963 () (forall @t45 (or (not @t44) @t959))) % 1.12/1.33 (define @t964 () (= @t958 @t960)) % 1.12/1.33 (define @t965 () (or @t961 @t964)) % 1.12/1.33 (assume @p1 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.12/1.33 (assume @p2 (forall (@list @t2 @t1 @t4 @t3) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t3 @t4)) @t1) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t4 @t2)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t3 @t2)) @t1))))) % 1.12/1.33 (assume @p3 @t16) % 1.12/1.33 (assume @p4 (forall (@list @t17) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p (tptp.v_g____ @t17)))))) % 1.12/1.33 (assume @p5 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t11)) % 1.12/1.33 (assume @p6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t11 @t14)) @t9)) % 1.12/1.33 (assume @p7 (forall @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t19) tptp.v_r))) % 1.12/1.33 (assume @p8 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t24)) % 1.12/1.33 (assume @p9 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t24)) % 1.12/1.33 (assume @p10 (forall (@list @t4 @t3) (= (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 @t3 @t4) @t23) @t3) @t25))) % 1.12/1.33 (assume @p11 (forall @t26 (= (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 @t4 @t3) @t23) @t3) @t25))) % 1.12/1.33 (assume @p12 (forall (@list @t28 @t29 @t31 @t27) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t27 @t31) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t30 @t31) (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t23 @t31) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t30 @t27))))))) % 1.12/1.33 (assume @p13 @t36) % 1.12/1.33 (assume @p14 (forall (@list @t37 @t38 @t39) (= (= @t39 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t23 @t37))) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t23 @t39) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t38 @t37))))) % 1.12/1.33 (assume @p15 (forall @t45 (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t40 @t43) @t42)))) % 1.12/1.33 (assume @p16 @t48) % 1.12/1.33 (assume @p17 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat tptp.v_N2____))) % 1.12/1.33 (assume @p18 (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)) % 1.12/1.33 (assume @p19 (forall @t51 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t50 tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t40)))))) % 1.12/1.33 (assume @p20 (forall (@list @t52 @t32 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t2 @t32) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t2 @t52)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t32 @t2)) @t52))))) % 1.12/1.33 (assume @p21 @t54) % 1.12/1.33 (assume @p22 (forall (@list @t55) (= (exists @t62 (and (exists @t61 (and @t60 (= @t59 @t57))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t56))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 tptp.v_s____)))) % 1.12/1.33 (assume @p23 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t15)) % 1.12/1.33 (assume @p24 (forall @t67 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t64 @t63) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t38))))) % 1.12/1.33 (assume @p25 (forall @t69 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 tptp.c_Int_OPls) @t68))) % 1.12/1.33 (assume @p26 (forall @t69 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t68) @t68))) % 1.12/1.33 (assume @p27 (forall @t74 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 @t72) (tptp.c_Int_OBit0 @t71)))) % 1.12/1.33 (assume @p28 (forall @t69 (= @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t68)))) % 1.12/1.33 (assume @p29 (forall @t76 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint tptp.c_Int_OPls @t75) tptp.c_Int_OPls))) % 1.12/1.33 (assume @p30 (forall @t74 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t73 @t70) @t77))) % 1.12/1.33 (assume @p31 (forall @t74 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t78 @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t77 @t70)))) % 1.12/1.33 (assume @p32 (forall (@list @t81 @t79 @t41) (=> (and @t83 (tptp.class_Orderings_Olinorder @t41)) (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t80 @t82) (not (tptp.c_Orderings_Oord__class_Oless @t41 @t82 @t80)))))) % 1.12/1.33 (assume @p33 (forall @t74 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 @t72) @t84))) % 1.12/1.33 (assume @p34 (forall @t74 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 @t85) @t84))) % 1.12/1.33 (assume @p35 (forall (@list @t86 @t27 @t39 @t41) (=> @t65 (= (tptp.c_Orderings_Oord__class_Oless @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t39 @t27)) @t86) (and (tptp.c_Orderings_Oord__class_Oless @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t27 @t86) @t39) (tptp.c_Orderings_Oord__class_Oless @t41 @t39 (tptp.c_Groups_Oplus__class_Oplus @t41 @t27 @t86))))))) % 1.12/1.33 (assume @p36 (forall @t87 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t75) (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 @t75 @t40)) @t50)))) % 1.12/1.33 (assume @p37 (forall @t67 (=> (and @t44 (tptp.class_Int_Oring__char__0 @t41)) (= (= @t64 @t63) @t88)))) % 1.12/1.33 (assume @p38 (forall (@list @t39 @t81 @t41) (=> @t83 (= (= @t82 @t39) (= @t39 @t82))))) % 1.12/1.33 (assume @p39 (forall @t94 (= (= @t93 @t92) @t91))) % 1.12/1.33 (assume @p40 (forall @t94 (= (= @t96 @t95) @t91))) % 1.12/1.33 (assume @p41 (forall @t67 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t64 @t63) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 @t38))))) % 1.12/1.33 (assume @p42 (forall @t102 (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t101 (tptp.c_Groups_Otimes__class_Otimes @t41 @t100 @t40)) (tptp.c_Groups_Otimes__class_Otimes @t41 @t99 @t40))))) % 1.12/1.33 (assume @p43 (forall @t104 (=> @t44 (= @t103 @t99)))) % 1.12/1.33 (assume @p44 (forall @t104 (=> @t44 (= @t99 @t103)))) % 1.12/1.33 (assume @p45 (forall @t102 (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t101 (tptp.c_Groups_Oplus__class_Oplus @t41 @t100 @t40)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t106 @t40))))) % 1.12/1.33 (assume @p46 (forall @t104 (=> @t44 (= @t107 @t106)))) % 1.12/1.33 (assume @p47 (forall @t104 (=> @t44 (= @t106 @t107)))) % 1.12/1.33 (assume @p48 (forall @t113 (=> @t112 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t111 @t110) (tptp.c_Groups_Oplus__class_Oplus @t41 @t109 (tptp.c_Groups_Ominus__class_Ominus @t41 @t1 @t108)))))) % 1.12/1.33 (assume @p49 (forall @t104 (=> @t44 (= (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t97 @t75)) @t114)))) % 1.12/1.33 (assume @p50 (forall @t118 (=> @t44 (= @t117 @t115)))) % 1.12/1.33 (assume @p51 (forall @t118 (=> @t44 (= @t115 @t117)))) % 1.12/1.33 (assume @p52 (forall @t69 (not (= @t78 tptp.c_Int_OPls)))) % 1.12/1.33 (assume @p53 (forall @t119 (not (= tptp.c_Int_OPls @t85)))) % 1.12/1.33 (assume @p54 (forall @t74 (not (= @t78 @t72)))) % 1.12/1.33 (assume @p55 (forall @t74 (not (= @t73 @t85)))) % 1.12/1.33 (assume @p56 (forall @t120 (= (= @t96 tptp.c_Int_OPls) (= @t90 tptp.c_Int_OPls)))) % 1.12/1.33 (assume @p57 (forall (@list @t89) (= (= tptp.c_Int_OPls @t95) (= tptp.c_Int_OPls @t89)))) % 1.12/1.33 (assume @p58 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.12/1.33 (assume @p59 (forall @t127 (=> @t126 (= (tptp.c_Groups_Otimes__class_Otimes @t121 (tptp.c_Groups_Oplus__class_Oplus @t121 @t3 @t4) @t122) (tptp.c_Groups_Oplus__class_Oplus @t121 @t124 @t123))))) % 1.12/1.33 (assume @p60 (forall @t130 (=> @t126 (= (tptp.c_Groups_Otimes__class_Otimes @t121 @t122 (tptp.c_Groups_Oplus__class_Oplus @t121 @t4 @t1)) (tptp.c_Groups_Oplus__class_Oplus @t121 @t129 @t128))))) % 1.12/1.33 (assume @p61 (forall @t127 (=> @t131 (= (tptp.c_Groups_Otimes__class_Otimes @t121 (tptp.c_Groups_Ominus__class_Ominus @t121 @t3 @t4) @t122) (tptp.c_Groups_Ominus__class_Ominus @t121 @t124 @t123))))) % 1.12/1.33 (assume @p62 (forall @t130 (=> @t131 (= (tptp.c_Groups_Otimes__class_Otimes @t121 @t122 (tptp.c_Groups_Ominus__class_Ominus @t121 @t4 @t1)) (tptp.c_Groups_Ominus__class_Ominus @t121 @t129 @t128))))) % 1.12/1.33 (assume @p63 (forall (@list @t1 @t75 @t97 @t41) (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t101 (tptp.c_Groups_Ominus__class_Ominus @t41 @t100 @t1)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t106 @t1))))) % 1.12/1.33 (assume @p64 (forall (@list @t40 @t75 @t41) (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t115 @t40) (tptp.c_Groups_Otimes__class_Otimes @t41 @t117 @t40))))) % 1.12/1.33 (assume @p65 (forall @t133 (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t132 @t3) @t3)))) % 1.12/1.33 (assume @p66 (forall @t133 (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t132) @t3)))) % 1.12/1.33 (assume @p67 (forall (@list @t29 @t27 @t134) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t135 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t137 @t27)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t136 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t137 @t29))))) % 1.12/1.33 (assume @p68 (forall (@list @t138 @t108 @t1 @t4 @t3 @t41) (=> (tptp.class_RealVector_Oreal__field @t41) (= (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t142 @t141) @t138) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t140 @t138)) (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t139 @t138) @t108)))))) % 1.12/1.33 (assume @p69 (forall @t133 (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t143 @t3) @t3)))) % 1.12/1.33 (assume @p70 (forall @t133 (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t143) @t3)))) % 1.12/1.33 (assume @p71 (forall @t146 (=> @t145 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t32 @t143) @t32)))) % 1.12/1.33 (assume @p72 (forall @t133 (=> @t145 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t143) @t3)))) % 1.12/1.33 (assume @p73 (forall @t147 (=> (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 @t81 tptp.v_z____)) tptp.v_d____) (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.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t81) @t5)) @t24)))) % 1.12/1.33 (assume @p74 (not (forall (@list @t148) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t148)))))) % 1.12/1.33 (assume @p75 (exists @t20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t18)))) % 1.12/1.33 (assume @p76 @t150) % 1.12/1.33 (assume @p77 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t24)) % 1.12/1.33 (assume @p78 (= (exists @t61 (and @t60 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t59 @t10))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t10))) % 1.12/1.33 (assume @p79 (forall @t152 (= (exists @t61 (and @t60 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t59 @t38))) @t151))) % 1.12/1.33 (assume @p80 (forall @t152 (= (exists @t61 (and @t60 (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 @t59)) @t38))) @t151))) % 1.12/1.33 (assume @p81 (exists @t61 (forall @t62 (=> (exists (@list @t153) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t153) tptp.v_r) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t153)) @t57))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t58))))) % 1.12/1.33 (assume @p82 (forall @t159 (=> (and @t158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t157 tptp.v_d____)) @t156))) % 1.12/1.33 (assume @p83 (forall @t164 (=> @t163 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t162 @t160)))) % 1.12/1.33 (assume @p84 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 tptp.v_d____)) % 1.12/1.33 (assume @p85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t6 @t7)) % 1.12/1.33 (assume @p86 (forall @t20 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat tptp.v_N1____ @t18) @t166))) % 1.12/1.33 (assume @p87 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t149)) % 1.12/1.33 (assume @p88 (forall @t169 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t168))) % 1.12/1.33 (assume @p89 (forall (@list @t170) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t170) (exists @t173 (forall @t20 (=> @t172 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t165 @t170))))))) % 1.12/1.33 (assume @p90 (forall @t20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t19)) @t176))) % 1.12/1.33 (assume @p91 (forall @t76 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t75 @t75))) % 1.12/1.33 (assume @p92 (forall @t51 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t177) @t40))) % 1.12/1.33 (assume @p93 (forall @t76 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t178) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t116)))) % 1.12/1.33 (assume @p94 (forall @t180 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t179) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t177 @t116)))) % 1.12/1.33 (assume @p95 (forall @t180 (= @t179 @t181))) % 1.12/1.33 (assume @p96 (forall @t180 (= @t182 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t75 @t40)))) % 1.12/1.33 (assume @p97 (forall @t180 (or @t184 @t183))) % 1.12/1.33 (assume @p98 (forall @t180 (= @t186 @t185))) % 1.12/1.33 (assume @p99 (forall (@list @t81 @t37) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t81) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t81) (not (= @t37 @t81)))))) % 1.12/1.33 (assume @p100 (forall @t164 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t160) @t187 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t160 @t32)))) % 1.12/1.33 (assume @p101 (forall @t180 (= @t185 @t186))) % 1.12/1.33 (assume @p102 (forall @t188 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t160 @t40)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t160 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t40))))) % 1.12/1.33 (assume @p103 (forall @t194 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t75 @t193) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t192 @t190)))) % 1.12/1.33 (assume @p104 (forall @t194 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t75 @t195) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t192 @t190)))) % 1.12/1.33 (assume @p105 (forall @t180 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t177 @t75) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t182)))) % 1.12/1.33 (assume @p106 (forall @t197 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t196 @t178) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t105)))) % 1.12/1.33 (assume @p107 (forall @t197 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t196 @t178) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t98)))) % 1.12/1.33 (assume @p108 (forall @t197 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t196 @t178) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t198)))) % 1.12/1.33 (assume @p109 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t201 @t200) @t199))) % 1.12/1.33 (assume @p110 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t201 @t200) @t202))) % 1.12/1.33 (assume @p111 (forall @t204 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t193 @t203) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t191 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t189 @t203))))) % 1.12/1.33 (assume @p112 (forall @t204 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t191 @t189) @t203) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t191 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t189 @t203))))) % 1.12/1.33 (assume @p113 (forall @t207 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t193 @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t206 @t205)))) % 1.12/1.33 (assume @p114 (forall @t207 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t195 @t75) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t206 @t205)))) % 1.12/1.33 (assume @p115 (forall @t211 (=> @t210 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t209 @t68) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t208 @t68))))) % 1.12/1.33 (assume @p116 (forall @t211 (=> @t212 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t209) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t68 @t208))))) % 1.12/1.33 (assume @p117 (forall @t211 (=> @t212 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t208 @t68) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t209 @t68))))) % 1.12/1.33 (assume @p118 (forall @t180 (=> @t184 (=> @t183 @t213)))) % 1.12/1.33 (assume @p119 (forall (@list @t40 @t214 @t75 @t215) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t215 @t75) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t214 @t40) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t215 @t214) @t181))))) % 1.12/1.33 (assume @p120 (forall @t219 (=> @t218 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t27 @t217) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t29 @t217)) @t216)))) % 1.12/1.33 (assume @p121 (forall @t219 (=> @t218 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t217 @t27) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t217 @t29)) @t216)))) % 1.12/1.33 (assume @p122 (forall @t169 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t221))) % 1.12/1.33 (assume @p123 (forall @t225 (=> @t224 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t223) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t222 @t168))))) % 1.12/1.33 (assume @p124 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t93) @t226))) % 1.12/1.33 (assume @p125 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t93 tptp.c_Int_OPls) @t227))) % 1.12/1.33 (assume @p126 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t96 @t92) @t202))) % 1.12/1.33 (assume @p127 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t232 @t231) @t230))) % 1.12/1.33 (assume @p128 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t93 @t95) @t199))) % 1.12/1.33 (assume @p129 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t236 @t235) @t234))) % 1.12/1.33 (assume @p130 (forall @t69 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t68 tptp.c_Int_OPls) @t68))) % 1.12/1.33 (assume @p131 (forall @t74 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t73 @t72) @t238))) % 1.12/1.33 (assume @p132 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.12/1.33 (assume @p133 (forall @t69 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t73) (tptp.c_Int_OBit0 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t68))))) % 1.12/1.33 (assume @p134 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t93 @t92) @t199))) % 1.12/1.33 (assume @p135 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t236 @t231) @t234))) % 1.12/1.33 (assume @p136 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.12/1.33 (assume @p137 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t96 @t95) @t199))) % 1.12/1.33 (assume @p138 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t232 @t235) @t234))) % 1.12/1.33 (assume @p139 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t93 @t92) @t202))) % 1.12/1.33 (assume @p140 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t236 @t231) @t230))) % 1.12/1.33 (assume @p141 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.12/1.33 (assume @p142 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t96 @t95) @t202))) % 1.12/1.33 (assume @p143 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t232 @t235) @t230))) % 1.12/1.33 (assume @p144 (forall @t243 (=> @t242 (= (= @t241 @t239) @t240)))) % 1.12/1.33 (assume @p145 (forall @t67 (=> @t245 (= @t244 (= @t38 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t39)))))) % 1.12/1.33 (assume @p146 (forall @t250 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t249 @t248) @t247))) % 1.12/1.33 (assume @p147 (forall @t250 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t249 @t248) @t251))) % 1.12/1.33 (assume @p148 (forall (@list @t160 @t32 @t40) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t40) (=> @t163 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t40 @t32) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t40 @t160)))))) % 1.12/1.33 (assume @p149 (forall @t164 (=> @t252 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t160) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t32 @t160)))))) % 1.12/1.33 (assume @p150 (forall @t257 (=> @t256 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t255 @t254) @t253)))) % 1.12/1.33 (assume @p151 (forall @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t39 @t38)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t53) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t38)) (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t39) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t53)))))) % 1.12/1.33 (assume @p152 (forall @t169 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t168 @t53)))) % 1.12/1.33 (assume @p153 (forall @t258 (= @t259 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t39 @t38) @t53)))) % 1.12/1.33 (assume @p154 (forall @t258 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t261 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t38 @t38)) @t53) (and @t260 (= @t38 @t53))))) % 1.12/1.33 (assume @p155 (forall @t258 (= (= @t263 @t53) (= @t38 @t262)))) % 1.12/1.33 (assume @p156 (forall (@list @t27 @t39) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t27)) @t53) (= @t39 @t27)))) % 1.12/1.33 (assume @p157 (forall @t104 (=> @t44 (= @t114 @t264)))) % 1.12/1.33 (assume @p158 (forall @t74 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t78 @t72) (tptp.c_Int_OBit1 @t237)))) % 1.12/1.33 (assume @p159 (forall @t74 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t78 @t85) @t238))) % 1.12/1.33 (assume @p160 (forall @t119 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t72) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t70))))) % 1.12/1.33 (assume @p161 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t93 tptp.c_Int_OPls) @t227))) % 1.12/1.33 (assume @p162 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t93 @t95) @t199))) % 1.12/1.33 (assume @p163 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t236 @t235) @t234))) % 1.12/1.33 (assume @p164 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t96) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t90)))) % 1.12/1.33 (assume @p165 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t96 tptp.c_Int_OPls) @t227))) % 1.12/1.33 (assume @p166 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t93) @t226))) % 1.12/1.33 (assume @p167 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t96 @t92) @t202))) % 1.12/1.33 (assume @p168 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t232 @t231) @t230))) % 1.12/1.33 (assume @p169 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t96) @t226))) % 1.12/1.33 (assume @p170 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t96 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t90 tptp.c_Int_OPls)))) % 1.12/1.33 (assume @p171 (forall @t243 (=> @t65 @t266))) % 1.12/1.33 (assume @p172 (forall @t267 (=> @t44 (= @t132 @t239)))) % 1.12/1.33 (assume @p173 (forall @t257 (=> @t256 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t255 @t254) @t259)))) % 1.12/1.33 (assume @p174 (forall @t257 (=> @t256 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t37 @t39) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t37 @t38)) @t259)))) % 1.12/1.33 (assume @p175 (forall @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t263) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t262 @t38)))) % 1.12/1.33 (assume @p176 (forall @t258 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t263 @t53) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t262)))) % 1.12/1.33 (assume @p177 (forall @t258 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t263) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t262 @t38)))) % 1.12/1.33 (assume @p178 (forall @t258 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t263 @t53) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t262)))) % 1.12/1.33 (assume @p179 (forall (@list @t3) (and (=> @t269 (= @t268 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t3))) (=> (not @t269) (= @t268 @t3))))) % 1.12/1.33 (assume @p180 (forall @t273 (and (=> @t272 (= @t271 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t270))) (=> (not @t272) (= @t271 @t270))))) % 1.12/1.33 (assume @p181 (forall (@list @t75 @t1 @t97 @t41) (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t101 (tptp.c_Groups_Ominus__class_Ominus @t41 @t1 @t100)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t264 @t1))))) % 1.12/1.33 (assume @p182 (forall @t274 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t63) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t38))))) % 1.12/1.33 (assume @p183 (forall @t275 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t64 @t239) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 tptp.c_Int_OPls))))) % 1.12/1.33 (assume @p184 (forall @t274 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t63) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t38))))) % 1.12/1.33 (assume @p185 (forall @t275 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t64 @t239) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 tptp.c_Int_OPls))))) % 1.12/1.33 (assume @p186 (forall @t118 (=> @t44 (= @t276 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t239 @t100) @t100))))) % 1.12/1.33 (assume @p187 (forall @t284 (=> @t283 (= (= @t27 @t281) (and (=> @t280 (= @t279 @t29)) @t278))))) % 1.12/1.33 (assume @p188 (forall @t290 (=> @t283 (= (= @t82 @t289) (and (=> @t288 (= @t287 @t29)) @t286))))) % 1.12/1.33 (assume @p189 (forall @t291 (=> @t283 (= (= @t289 @t82) (and (=> @t288 (= @t29 @t287)) @t286))))) % 1.12/1.33 (assume @p190 (forall @t292 (=> @t283 (= (= @t281 @t27) (and (=> @t280 (= @t29 @t279)) @t278))))) % 1.12/1.33 (assume @p191 (forall @t146 (=> (and @t282 @t44) (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t32 @t132) @t239)))) % 1.12/1.33 (assume @p192 (forall @t76 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t75 @t75))) % 1.12/1.33 (assume @p193 (forall @t180 (or @t294 @t293))) % 1.12/1.33 (assume @p194 (forall @t211 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t209 @t208) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t68) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t209 @t68))))) % 1.12/1.33 (assume @p195 (forall @t180 (=> @t294 (=> @t293 @t213)))) % 1.12/1.33 (assume @p196 (forall @t180 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t40 @t75) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t75 @t40)))) % 1.12/1.33 (assume @p197 (forall @t204 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t191 @t189) @t203) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t191 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t189 @t203))))) % 1.12/1.33 (assume @p198 (forall @t250 (= (= @t249 @t248) @t295))) % 1.12/1.33 (assume @p199 (forall @t284 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t281) (and (=> @t299 @t301) (=> @t300 (and (=> @t296 @t298) (=> @t297 @t265)))))))) % 1.12/1.33 (assume @p200 (forall @t290 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t82 @t289) (and (=> @t307 @t309) (=> @t308 (and (=> @t304 @t306) (=> @t305 @t296)))))))) % 1.12/1.33 (assume @p201 (forall @t291 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t289 @t82) (and (=> @t307 @t306) (=> @t308 (and (=> @t304 @t309) (=> @t305 @t299)))))))) % 1.12/1.33 (assume @p202 (forall @t292 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t281 @t27) (and (=> @t299 @t298) (=> @t300 (and (=> @t296 @t301) (=> @t297 @t310)))))))) % 1.12/1.33 (assume @p203 (forall @t146 (=> @t66 (and (=> @t313 (= @t312 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t311))) (=> (not @t313) (= @t312 @t311)))))) % 1.12/1.33 (assume @p204 (forall @t284 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t281) (and (=> @t299 @t316) (=> @t300 (and (=> @t296 @t315) (=> @t297 @t314)))))))) % 1.12/1.33 (assume @p205 (forall @t290 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t82 @t289) (and (=> @t307 @t318) (=> @t308 (and (=> @t304 @t317) (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t82 @t239))))))))) % 1.12/1.33 (assume @p206 (forall @t291 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t289 @t82) (and (=> @t307 @t317) (=> @t308 (and (=> @t304 @t318) (=> @t305 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t82))))))))) % 1.12/1.33 (assume @p207 (forall @t292 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t281 @t27) (and (=> @t299 @t315) (=> @t300 (and (=> @t296 @t316) (=> @t297 @t319)))))))) % 1.12/1.33 (assume @p208 (forall (@list @t86 @t41) (=> @t320 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t86 @t43)) (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t86))))) % 1.12/1.33 (assume @p209 (forall (@list @t270 @t41) (=> @t320 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t270) (tptp.c_Orderings_Oord__class_Oless @t41 @t239 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t270 @t43)))))) % 1.12/1.33 (assume @p210 (forall @t258 (= @t253 (and @t259 (not @t88))))) % 1.12/1.33 (assume @p211 (forall @t258 (= @t259 (or @t253 @t88)))) % 1.12/1.33 (assume @p212 (forall @t188 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t160) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t32) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t160))))) % 1.12/1.33 (assume @p213 (forall @t207 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t191 @t189) @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t191 @t75) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t189 @t75))))) % 1.12/1.33 (assume @p214 (forall @t322 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t321) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t222 @t168)))) % 1.12/1.33 (assume @p215 (forall @t35 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t323) @t323))) % 1.12/1.33 (assume @p216 (forall @t330 (=> @t329 (= @t328 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t326) @t325))))) % 1.12/1.33 (assume @p217 (forall (@list @t32 @t331) (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 @t331 @t331)) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t32 @t32)))) % 1.12/1.33 (assume @p218 (forall @t322 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t332) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t222 @t168)))) % 1.12/1.33 (assume @p219 (forall (@list @t86 @t39) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t39) @t86) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t86) @t39) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t86))))) % 1.12/1.33 (assume @p220 (forall (@list @t333 @t270) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t270 @t333) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t270 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t333))))) % 1.12/1.33 (assume @p221 (forall @t164 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t32 @t160) @t334))) % 1.12/1.33 (assume @p222 (forall @t164 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t334) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t160 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t32)))))) % 1.12/1.33 (assume @p223 (forall (@list @t2 @t70 @t160 @t32) (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 @t161 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t336 @t335))) (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 @t32 @t336)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t160 @t335)))))) % 1.12/1.33 (assume @p224 (forall @t164 (=> @t163 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t162)))) % 1.12/1.33 (assume @p225 (exists @t340 (and @t339 @t338))) % 1.12/1.33 (assume @p226 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t24)) % 1.12/1.33 (assume @p227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t341)) % 1.12/1.33 (assume @p228 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t343)) % 1.12/1.33 (assume @p229 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t11 @t344)) % 1.12/1.33 (assume @p230 (=> @t150 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t49) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t149) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t49))))) % 1.12/1.33 (assume @p231 (exists @t173 (forall @t20 (=> @t172 @t166)))) % 1.12/1.33 (assume @p232 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t343 @t344)) % 1.12/1.33 (assume @p233 (=> (not @t54) (exists @t61 (forall @t159 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t154) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t59 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t155))))))) % 1.12/1.33 (assume @p234 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t342 @t341)) % 1.12/1.33 (assume @p235 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t175 @t175)) % 1.12/1.33 (assume @p236 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t175)) % 1.12/1.33 (assume @p237 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t345) tptp.v_r) (= @t346 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t346))))) % 1.12/1.33 (assume @p238 (forall (@list @t39 @t347) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t347) tptp.v_r) (=> (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t347)) @t262) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t175))))) % 1.12/1.33 (assume @p239 (forall @t69 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t68) @t68))) % 1.12/1.33 (assume @p240 (forall (@list @t75 @t121) (=> (and @t125 (tptp.class_Rings_Odivision__ring @t121)) (= (tptp.c_Rings_Oinverse__class_Oinverse @t121 @t348) (tptp.c_Rings_Oinverse__class_Odivide @t121 (tptp.c_Groups_Oone__class_Oone @t121) @t348))))) % 1.12/1.33 (assume @p241 (forall @t35 (=> (not @t350) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t349 @t32) @t175)))) % 1.12/1.33 (assume @p242 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t352) @t175)) % 1.12/1.33 (assume @p243 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t53) @t53)) % 1.12/1.33 (assume @p244 (not (= @t53 @t175))) % 1.12/1.33 (assume @p245 (forall @t51 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t175 @t40) @t40))) % 1.12/1.33 (assume @p246 (= @t354 @t353)) % 1.12/1.33 (assume @p247 (= tptp.c_Int_OPls @t354)) % 1.12/1.33 (assume @p248 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t40 @t354) @t40))) % 1.12/1.33 (assume @p249 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t354 @t40) @t40))) % 1.12/1.33 (assume @p250 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t354) @t354)) % 1.12/1.33 (assume @p251 (forall @t164 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t32 @t160) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t32 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t160))))) % 1.12/1.33 (assume @p252 (forall (@list @t355 @t356) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t356 @t355) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t356 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t355))))) % 1.12/1.33 (assume @p253 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t81) @t354) @t357))) % 1.12/1.33 (assume @p254 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t354))) % 1.12/1.33 (assume @p255 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t81) @t354) @t357))) % 1.12/1.33 (assume @p256 (forall @t359 (= (= @t249 @t53) @t358))) % 1.12/1.33 (assume @p257 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t351) @t53)) % 1.12/1.33 (assume @p258 (forall @t211 (=> @t210 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t68) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t68 @t209) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t68 @t208)))))) % 1.12/1.33 (assume @p259 (forall (@list @t209) (and (=> @t361 (= @t360 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t209))) (=> (not @t361) (= @t360 @t209))))) % 1.12/1.33 (assume @p260 (forall @t94 (= @t199 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t90 @t89) @t354)))) % 1.12/1.33 (assume @p261 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t177 @t40) @t354))) % 1.12/1.33 (assume @p262 (forall @t267 (=> @t145 (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t143) @t143)))) % 1.12/1.33 (assume @p263 (forall @t146 (=> (tptp.class_Rings_Oring__1 @t41) (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t363 @t362) (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t32 @t362) (tptp.c_Groups_Ominus__class_Ominus @t41 @t32 @t362)))))) % 1.12/1.33 (assume @p264 (forall @t118 (=> @t44 (= (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Int_OBit1 @t75)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t364 @t100))))) % 1.12/1.33 (assume @p265 (forall @t267 (=> @t44 (= @t143 @t362)))) % 1.12/1.33 (assume @p266 (forall @t250 (= @t247 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t249 @t175) @t248)))) % 1.12/1.33 (assume @p267 (forall @t250 (= @t251 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t249 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t248 @t175))))) % 1.12/1.33 (assume @p268 (forall @t169 (= @t221 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t168 @t175)))) % 1.12/1.33 (assume @p269 (forall @t35 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t365 @t175) @t32)))) % 1.12/1.33 (assume @p270 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t249 @t53) @t358))) % 1.12/1.33 (assume @p271 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t249) @t366))) % 1.12/1.33 (assume @p272 (forall @t375 (=> @t374 (=> @t373 (=> @t371 (= @t369 (tptp.c_Groups_Ouminus__class_Ouminus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 @t109) @t367)))))))) % 1.12/1.33 (assume @p273 (forall @t118 (=> @t44 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t376 @t100) @t276)))) % 1.12/1.33 (assume @p274 (forall @t35 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t175 @t365)))) % 1.12/1.33 (assume @p275 (forall (@list @t138 @t4 @t3 @t41) (=> @t377 (=> @t373 (=> @t371 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t369 @t138) (tptp.c_Groups_Ouminus__class_Ouminus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t109 @t138)) @t367)))))))) % 1.12/1.33 (assume @p276 (forall @t275 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t64 @t362) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 @t21))))) % 1.12/1.33 (assume @p277 (forall @t274 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t362 @t63) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t21 @t38))))) % 1.12/1.33 (assume @p278 (forall @t267 (=> @t44 (= @t376 @t43)))) % 1.12/1.33 (assume @p279 (forall @t275 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t64 @t362) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t21))))) % 1.12/1.33 (assume @p280 (forall @t274 (=> @t66 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t63) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t38))))) % 1.12/1.33 (assume @p281 (forall @t378 (=> @t44 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t101 @t362) (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t21)))))) % 1.12/1.33 (assume @p282 (forall @t118 (=> @t44 (= @t364 (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t75)))))) % 1.12/1.33 (assume @p283 (forall @t378 (=> @t44 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t101 @t362) (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t21))))))) % 1.12/1.33 (assume @p284 (forall @t118 (=> @t44 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t362 @t100) (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t116)))))) % 1.12/1.33 (assume @p285 (forall @t359 (exists @t61 (and @t60 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t59 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t175 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t379)))))))) % 1.12/1.33 (assume @p286 (exists (@list @t380) (forall @t62 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t381) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t381)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t175 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t56))))))))) % 1.12/1.33 (assume @p287 (forall @t20 (exists @t61 (and @t60 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t59 @t176))))) % 1.12/1.33 (assume @p288 (forall @t267 (=> @t320 (tptp.c_Orderings_Oord__class_Oless @t41 @t239 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t362 @t43))))) % 1.12/1.33 (assume @p289 (forall @t169 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t168 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t382)) (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t382) @t167))))) % 1.12/1.33 (assume @p290 (forall (@list @t32 @t270 @t41) (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t270 @t383) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t270) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t32)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t270))))))) % 1.12/1.33 (assume @p291 (forall @t391 (=> @t390 (= @t389 (exists @t173 (forall @t20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t387 @t385))))))) % 1.12/1.33 (assume @p292 (not (= @t354 @t392))) % 1.12/1.33 (assume @p293 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t392)) % 1.12/1.33 (assume @p294 (forall @t393 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t37) @t392) (= @t37 @t354)))) % 1.12/1.33 (assume @p295 (forall @t51 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t394 @t40) @t354)))) % 1.12/1.33 (assume @p296 (forall @t51 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t392 @t40) @t40))) % 1.12/1.33 (assume @p297 (forall @t51 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t40 @t392) @t40))) % 1.12/1.33 (assume @p298 (forall @t322 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t2 @t167)) @t392) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t2) @t392)))) % 1.12/1.33 (assume @p299 (forall @t69 (= @t78 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t392 @t68) @t68)))) % 1.12/1.33 (assume @p300 (forall @t393 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t392 @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t37)))) % 1.12/1.33 (assume @p301 (forall @t397 (= @t396 (or @t395 (= @t81 @t37))))) % 1.12/1.33 (assume @p302 (forall @t393 (= (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 @t392 @t37) @t37) @t354) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t354)))) % 1.12/1.33 (assume @p303 (forall @t398 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t28) (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t246) @t392) (and (= @t28 @t392) (= @t246 @t392)))))) % 1.12/1.33 (assume @p304 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t399) @t175)) % 1.12/1.33 (assume @p305 (= @t392 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t21))) % 1.12/1.33 (assume @p306 (forall @t397 (= @t396 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 @t37)))) % 1.12/1.33 (assume @p307 (forall @t397 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t81 @t392) @t37) @t395))) % 1.12/1.33 (assume @p308 (forall @t87 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t75 @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t75 @t392) @t40)))) % 1.12/1.33 (assume @p309 (forall @t51 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t40) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t394)))) % 1.12/1.33 (assume @p310 (forall @t397 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t37 @t392)) @t395))) % 1.12/1.33 (assume @p311 (forall @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t89) (exists @t20 (= @t89 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t18)))))) % 1.12/1.33 (assume @p312 (forall @t403 (= @t402 (forall (@list @t401 @t18) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t401 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t134 @t401) @t400)))))) % 1.12/1.33 (assume @p313 (forall (@list @t246 @t134) (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t246 (tptp.hAPP @t134 @t246))))) % 1.12/1.33 (assume @p314 (forall @t403 (= @t402 (forall @t20 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t400 (tptp.hAPP @t134 @t174)))))) % 1.12/1.33 (assume @p315 (forall (@list @t160 @t32 @t1) (=> @t404 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t365 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t1 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t160))) @t350)))) % 1.12/1.33 (assume @p316 (forall @t409 (=> @t252 (=> @t408 (=> @t407 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t349 @t160) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t406 @t331))))))) % 1.12/1.33 (assume @p317 (forall @t409 (=> @t252 (=> @t408 (=> @t407 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t160 @t349) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t331 @t406))))))) % 1.12/1.33 (assume @p318 (forall (@list @t160 @t32 @t1 @t41) (=> @t411 (=> @t404 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t383 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t1 @t410)) (= @t32 @t239)))))) % 1.12/1.33 (assume @p319 (forall @t391 (=> @t390 (= @t389 (exists @t173 (forall @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t387 @t385))))))) % 1.12/1.33 (assume @p320 (forall @t169 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t220))) % 1.12/1.33 (assume @p321 (forall @t35 (=> @t413 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t412) (or (= @t32 @t354) (= @t32 @t392)))))) % 1.12/1.33 (assume @p322 (forall @t169 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t415) (or @t414 (= @t167 @t352))))) % 1.12/1.33 (assume @p323 (forall (@list @t32 @t40 @t108) (=> @t417 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t40 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t416))))) % 1.12/1.33 (assume @p324 (forall (@list @t40 @t32 @t108) (=> @t417 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t32 @t416) @t40)))) % 1.12/1.33 (assume @p325 (forall @t425 (and (=> @t423 (= @t422 @t351)) (=> @t424 (= @t422 @t419))))) % 1.12/1.33 (assume @p326 (forall @t169 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t351)))) % 1.12/1.33 (assume @p327 (forall @t322 (=> @t428 @t427))) % 1.12/1.33 (assume @p328 (forall @t169 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t220))) % 1.12/1.33 (assume @p329 (forall @t169 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t167))) % 1.12/1.33 (assume @p330 (forall @t169 (not (= @t167 @t220)))) % 1.12/1.33 (assume @p331 (forall @t169 (not (= @t220 @t167)))) % 1.12/1.33 (assume @p332 (forall (@list @t429 @t430) (= (= (tptp.c_Nat_OSuc @t430) (tptp.c_Nat_OSuc @t429)) (= @t430 @t429)))) % 1.12/1.33 (assume @p333 (forall @t164 (=> (= (tptp.c_Nat_OSuc @t32) (tptp.c_Nat_OSuc @t160)) @t187))) % 1.12/1.33 (assume @p334 (forall @t169 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t167)))) % 1.12/1.33 (assume @p335 (forall @t398 (= @t433 (or @t431 @t247)))) % 1.12/1.33 (assume @p336 (forall @t164 (=> @t434 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t160)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t160 @t32))))) % 1.12/1.33 (assume @p337 (forall @t225 (=> @t437 @t436))) % 1.12/1.33 (assume @p338 (forall (@list @t438 @t333) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t333 @t438) (not (= @t333 @t438))))) % 1.12/1.33 (assume @p339 (forall (@list @t439 @t246 @t28) (=> (=> @t431 @t440) (=> (=> @t432 @t440) (=> (=> @t247 @t440) @t440))))) % 1.12/1.33 (assume @p340 (forall @t441 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t28 @t90) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t246 @t90)) @t432))) % 1.12/1.33 (assume @p341 (forall @t444 (= (= @t443 @t442) @t432))) % 1.12/1.33 (assume @p342 (forall @t446 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t332 @t68) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t445)))) % 1.12/1.33 (assume @p343 (forall @t188 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t160 @t40)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t160 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t40))))) % 1.12/1.33 (assume @p344 (forall @t322 (= @t332 @t447))) % 1.12/1.33 (assume @p345 (forall @t322 (=> @t448 (=> @t224 @t435)))) % 1.12/1.33 (assume @p346 (forall @t211 (=> @t449 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t208 @t68) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t68))))) % 1.12/1.33 (assume @p347 (forall @t322 (=> @t435 @t448))) % 1.12/1.33 (assume @p348 (forall @t322 (or @t448 @t224))) % 1.12/1.33 (assume @p349 (forall @t169 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t167 @t167))) % 1.12/1.33 (assume @p350 (forall @t322 (= @t321 @t450))) % 1.12/1.33 (assume @p351 (forall @t446 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t321 @t68) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t451)))) % 1.12/1.33 (assume @p352 (forall @t398 (= (= @t453 @t399) @t452))) % 1.12/1.33 (assume @p353 (forall @t169 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t167 @t399) @t167))) % 1.12/1.33 (assume @p354 (forall @t398 (= (= @t399 @t453) @t452))) % 1.12/1.33 (assume @p355 (forall @t169 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t399 @t167) @t167))) % 1.12/1.33 (assume @p356 (forall @t211 (= @t455 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t68) @t208)))) % 1.12/1.33 (assume @p357 (forall @t456 (not (= @t351 @t426)))) % 1.12/1.33 (assume @p358 (forall (@list @t457) (not (= @t351 (tptp.c_Nat_OSuc @t457))))) % 1.12/1.33 (assume @p359 (forall @t456 (not (= @t426 @t351)))) % 1.12/1.33 (assume @p360 (forall (@list @t458) (not (= (tptp.c_Nat_OSuc @t458) @t351)))) % 1.12/1.33 (assume @p361 (= @t399 @t352)) % 1.12/1.33 (assume @p362 (forall @t359 (= (not @t358) @t366))) % 1.12/1.33 (assume @p363 (forall @t322 (=> @t428 @t459))) % 1.12/1.33 (assume @p364 (forall @t169 (=> @t459 @t460))) % 1.12/1.33 (assume @p365 (forall @t322 (=> (= @t332 @t2) @t414))) % 1.12/1.33 (assume @p366 (forall @t398 (= (= @t462 @t351) (and @t461 @t358)))) % 1.12/1.33 (assume @p367 (forall @t456 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t351) @t2))) % 1.12/1.33 (assume @p368 (forall @t169 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t351 @t167) @t167))) % 1.12/1.33 (assume @p369 (forall @t322 (=> @t427 @t428))) % 1.12/1.33 (assume @p370 (forall @t322 (=> @t463 @t428))) % 1.12/1.33 (assume @p371 (forall @t322 (=> @t465 (=> @t464 @t435)))) % 1.12/1.33 (assume @p372 (forall @t211 (=> @t468 (=> @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t466 @t68))))) % 1.12/1.33 (assume @p373 (forall @t322 (=> @t428 (=> (not (= @t426 @t167)) @t463)))) % 1.12/1.33 (assume @p374 (forall @t322 (=> @t428 @t465))) % 1.12/1.33 (assume @p375 (forall @t225 (=> (not @t437) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t426) @t435)))) % 1.12/1.33 (assume @p376 (forall @t250 (=> (not @t247) @t471))) % 1.12/1.33 (assume @p377 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t469 @t379) @t431))) % 1.12/1.33 (assume @p378 (forall @t398 (= @t473 @t472))) % 1.12/1.33 (assume @p379 (forall @t398 (= (not @t431) @t470))) % 1.12/1.33 (assume @p380 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t246 @t351) @t358))) % 1.12/1.33 (assume @p381 (forall @t322 (= @t475 @t474))) % 1.12/1.33 (assume @p382 (forall @t322 (= @t475 @t476))) % 1.12/1.33 (assume @p383 (forall @t322 (= @t474 @t476))) % 1.12/1.33 (assume @p384 (forall @t169 (= @t220 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t399)))) % 1.12/1.33 (assume @p385 (forall @t169 (= @t220 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t399 @t167)))) % 1.12/1.33 (assume @p386 (forall @t169 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 @t167)))) % 1.12/1.33 (assume @p387 (forall @t398 (= (not @t478) @t477))) % 1.12/1.33 (assume @p388 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t28 @t379) (or @t478 (= @t28 @t379))))) % 1.12/1.33 (assume @p389 (forall @t250 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t379 @t469) @t251))) % 1.12/1.33 (assume @p390 (forall @t322 (=> @t448 @t479))) % 1.12/1.33 (assume @p391 (forall @t322 (=> @t479 (=> (not @t448) (= @t2 @t220))))) % 1.12/1.33 (assume @p392 (forall @t322 (=> @t480 @t448))) % 1.12/1.33 (assume @p393 (forall @t211 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t481 @t68) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t68)))) % 1.12/1.33 (assume @p394 (forall (@list @t167 @t2 @t70 @t68) (=> @t483 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t70) @t482) @t428)))) % 1.12/1.33 (assume @p395 (forall @t486 (=> @t468 (=> @t483 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t485 @t484))))) % 1.12/1.33 (assume @p396 (forall @t211 (=> @t468 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t485 @t487)))) % 1.12/1.33 (assume @p397 (forall @t489 (=> @t468 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t488)))) % 1.12/1.33 (assume @p398 (forall @t489 (=> @t468 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t490)))) % 1.12/1.33 (assume @p399 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t443 @t442) @t431))) % 1.12/1.33 (assume @p400 (forall (@list @t209 @t208) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t491 @t209)))) % 1.12/1.33 (assume @p401 (forall (@list @t208 @t209) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t481 @t209)))) % 1.12/1.33 (assume @p402 (forall @t169 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t351 @t167) @t351))) % 1.12/1.33 (assume @p403 (forall @t456 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t351) @t351))) % 1.12/1.33 (assume @p404 (forall @t398 (= (= @t453 @t351) (or @t461 @t358)))) % 1.12/1.33 (assume @p405 (forall @t444 (= @t496 @t493))) % 1.12/1.33 (assume @p406 (forall @t441 (= (= @t498 @t497) @t493))) % 1.12/1.33 (assume @p407 (forall @t322 (=> (= @t2 @t321) (or (= @t167 @t399) @t499)))) % 1.12/1.33 (assume @p408 (forall @t398 (= @t431 (and @t478 @t433)))) % 1.12/1.33 (assume @p409 (forall @t398 (= @t478 @t472))) % 1.12/1.33 (assume @p410 (forall @t322 (=> @t428 @t448))) % 1.12/1.33 (assume @p411 (forall @t322 (=> @t448 (=> @t436 @t428)))) % 1.12/1.33 (assume @p412 (forall @t322 (=> (or @t428 @t435) @t448))) % 1.12/1.33 (assume @p413 (forall @t322 (=> @t500 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t2) @t351) @t435)))) % 1.12/1.33 (assume @p414 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t2) @t351))) % 1.12/1.33 (assume @p415 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t351) @t2))) % 1.12/1.33 (assume @p416 (forall @t169 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t351 @t167) @t351))) % 1.12/1.33 (assume @p417 (forall @t444 (= (= @t503 @t502) @t432))) % 1.12/1.33 (assume @p418 (forall @t507 (=> @t506 (not (=> @t448 (not @t504)))))) % 1.12/1.33 (assume @p419 (forall @t507 (=> @t506 @t448))) % 1.12/1.33 (assume @p420 (forall @t507 (=> @t506 @t504))) % 1.12/1.33 (assume @p421 (forall @t486 (=> @t449 (=> @t508 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t484))))) % 1.12/1.33 (assume @p422 (forall @t211 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t487)))) % 1.12/1.33 (assume @p423 (forall @t489 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t488)))) % 1.12/1.33 (assume @p424 (forall @t489 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t490)))) % 1.12/1.33 (assume @p425 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t443 @t442) @t478))) % 1.12/1.33 (assume @p426 (forall @t398 (= @t478 (exists @t511 (= @t246 @t510))))) % 1.12/1.33 (assume @p427 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t167 @t447))) % 1.12/1.33 (assume @p428 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t167 @t332))) % 1.12/1.33 (assume @p429 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t426 @t220) @t223))) % 1.12/1.33 (assume @p430 (forall @t446 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 (tptp.c_Nat_OSuc @t68)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t223 @t68)))) % 1.12/1.33 (assume @p431 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t220) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t513 @t167)))) % 1.12/1.33 (assume @p432 (forall @t169 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t399) @t167))) % 1.12/1.33 (assume @p433 (forall (@list @t167 @t68 @t208) (=> @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t208 @t167) @t68)))) % 1.12/1.33 (assume @p434 (forall @t516 (=> @t428 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t2 @t70) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t515 @t514))))) % 1.12/1.33 (assume @p435 (forall @t446 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t332 @t68) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t517 @t451)))) % 1.12/1.33 (assume @p436 (forall @t520 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t332) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t519 @t518)))) % 1.12/1.33 (assume @p437 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t2 @t521))) % 1.12/1.33 (assume @p438 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t2 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t521)))) % 1.12/1.33 (assume @p439 (forall @t211 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t522)))) % 1.12/1.33 (assume @p440 (forall @t211 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t524)))) % 1.12/1.33 (assume @p441 (forall @t486 (=> @t449 (=> @t508 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t208 @t70)))))) % 1.12/1.33 (assume @p442 (forall @t507 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t445) @t223))) % 1.12/1.33 (assume @p443 (forall @t520 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t526 @t482) @t223))) % 1.12/1.33 (assume @p444 (forall @t211 (= @t455 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t487)))) % 1.12/1.33 (assume @p445 (forall @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t447 @t167) @t2))) % 1.12/1.33 (assume @p446 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t332 @t167) @t2))) % 1.12/1.33 (assume @p447 (forall @t444 (=> @t530 (=> @t529 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t527) @t478))))) % 1.12/1.33 (assume @p448 (forall @t520 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t2) (=> @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t68) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t68)) @t223))))) % 1.12/1.33 (assume @p449 (forall @t444 (=> @t530 (=> @t529 (= (= @t528 @t527) @t432))))) % 1.12/1.33 (assume @p450 (forall (@list @t167 @t209) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t167) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t209)) @t209)))) % 1.12/1.33 (assume @p451 (forall @t516 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t70) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t70))))) % 1.12/1.33 (assume @p452 (forall @t516 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t515 @t514)))) % 1.12/1.33 (assume @p453 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t223 @t2))) % 1.12/1.33 (assume @p454 (forall @t520 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t68 @t223) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t518)))) % 1.12/1.33 (assume @p455 (forall @t446 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t223 @t68) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t517 @t451)))) % 1.12/1.33 (assume @p456 (forall @t67 (=> @t536 (= (= @t535 @t239) @t533)))) % 1.12/1.33 (assume @p457 (forall @t267 (=> @t44 (= @t239 @t132)))) % 1.12/1.33 (assume @p458 (forall @t35 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t537) (or (= @t32 @t351) (= @t32 @t352))))) % 1.12/1.33 (assume @p459 (forall @t398 (= @t473 (or @t461 (exists (@list @t538) (and (= @t28 (tptp.c_Nat_OSuc @t538)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t538 @t246))))))) % 1.12/1.33 (assume @p460 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t246 @t352) @t358))) % 1.12/1.33 (assume @p461 (forall @t359 (= @t366 (exists (@list @t401) (= @t246 (tptp.c_Nat_OSuc @t401)))))) % 1.12/1.33 (assume @p462 (forall @t398 (= (= @t462 @t352) @t541))) % 1.12/1.33 (assume @p463 (forall @t398 (= (= @t352 @t462) @t541))) % 1.12/1.33 (assume @p464 (= @t351 @t542)) % 1.12/1.33 (assume @p465 (= @t542 @t351)) % 1.12/1.33 (assume @p466 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t462) (or @t543 @t366)))) % 1.12/1.33 (assume @p467 (= @t544 @t399)) % 1.12/1.33 (assume @p468 (= @t399 @t544)) % 1.12/1.33 (assume @p469 (forall @t398 (= @t431 (exists @t511 (= @t246 (tptp.c_Nat_OSuc @t510)))))) % 1.12/1.33 (assume @p470 (forall @t545 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t209))))) % 1.12/1.33 (assume @p471 (forall @t545 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t2))))) % 1.12/1.33 (assume @p472 (forall @t398 (= (= @t453 @t352) (and @t540 @t539)))) % 1.12/1.33 (assume @p473 (forall @t322 (=> @t480 @t428))) % 1.12/1.33 (assume @p474 (forall @t398 (=> @t478 @t471))) % 1.12/1.33 (assume @p475 (forall @t322 (=> @t428 @t480))) % 1.12/1.33 (assume @p476 (forall @t322 (=> @t448 @t465))) % 1.12/1.33 (assume @p477 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t469 @t246) @t431))) % 1.12/1.33 (assume @p478 (forall @t398 (= @t473 @t478))) % 1.12/1.33 (assume @p479 (forall @t250 (= @t247 @t477))) % 1.12/1.33 (assume @p480 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t453) (and @t543 @t366)))) % 1.12/1.33 (assume @p481 (forall @t444 (= @t548 @t547))) % 1.12/1.33 (assume @p482 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t498 @t497) @t547))) % 1.12/1.33 (assume @p483 (forall @t211 (=> @t468 (=> @t549 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t522))))) % 1.12/1.33 (assume @p484 (forall @t211 (=> @t468 (=> @t549 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t525 @t524))))) % 1.12/1.33 (assume @p485 (forall @t250 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t246 @t28)) @t431))) % 1.12/1.33 (assume @p486 (forall @t225 (=> @t460 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t2) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t223 @t2))))) % 1.12/1.33 (assume @p487 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t503 @t502) @t431))) % 1.12/1.33 (assume @p488 (forall @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t447) @t351))) % 1.12/1.33 (assume @p489 (forall @t322 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t223 @t426))) % 1.12/1.33 (assume @p490 (forall @t322 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t2 @t220) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t2 @t321)))) % 1.12/1.33 (assume @p491 (forall @t322 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t426 @t167) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t321)))) % 1.12/1.33 (assume @p492 (forall @t322 (=> @t448 @t500))) % 1.12/1.33 (assume @p493 (forall @t398 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t246) @t351) @t478))) % 1.12/1.33 (assume @p494 (forall @t444 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t503 @t502) @t478))) % 1.12/1.33 (assume @p495 (forall @t225 (=> @t224 (= @t512 (tptp.c_Nat_OSuc @t223))))) % 1.12/1.33 (assume @p496 (forall @t322 (=> @t464 @t550))) % 1.12/1.33 (assume @p497 (forall @t555 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t552 @t554) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t553 @t551)))) % 1.12/1.33 (assume @p498 (forall (@list @t1 @t4 @t3) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t3 @t4) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1 @t3) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t3 @t1) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t4 @t1)))))) % 1.12/1.33 (assume @p499 (forall @t444 (=> @t530 (=> @t529 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t527) @t431))))) % 1.12/1.33 (assume @p500 (forall @t560 (=> @t559 (= @t558 @t557)))) % 1.12/1.33 (assume @p501 (forall @t560 (=> @t559 (= @t557 @t558)))) % 1.12/1.33 (assume @p502 (forall @t560 (=> @t559 (= @t562 @t561)))) % 1.12/1.33 (assume @p503 (forall @t555 (=> @t564 (= (= @t563 @t90) (= @t551 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t552)))))) % 1.12/1.33 (assume @p504 (forall @t225 (=> @t224 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t223 @t167) @t2)))) % 1.12/1.33 (assume @p505 (forall (@list @t552 @t551 @t90) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t551) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t552 @t554) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t553 @t551))))) % 1.12/1.33 (assume @p506 (forall @t560 (=> @t559 (= @t561 @t562)))) % 1.12/1.33 (assume @p507 (forall @t225 (=> @t224 @t550))) % 1.12/1.33 (assume @p508 (forall (@list @t2 @t167 @t68) (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t2 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t447 @t68))))) % 1.12/1.33 (assume @p509 (forall (@list @t552 @t90 @t551) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t554 @t552) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t551 @t553)))) % 1.12/1.33 (assume @p510 (forall @t560 (=> @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t556) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t485 @t208))))) % 1.12/1.33 (assume @p511 (forall @t67 (=> @t536 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t535 @t239) @t533)))) % 1.12/1.33 (assume @p512 (forall @t567 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t565)))) % 1.12/1.33 (assume @p513 (forall @t67 (=> @t536 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t535) (or @t569 @t568))))) % 1.12/1.33 (assume @p514 (forall @t567 (=> @t566 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t565 @t239))))) % 1.12/1.33 (assume @p515 (forall @t267 (=> @t44 (= @t362 @t143)))) % 1.12/1.33 (assume @p516 (forall @t572 (= (= @t571 @t351) @t570))) % 1.12/1.33 (assume @p517 (forall @t572 (= (= @t351 @t571) @t570))) % 1.12/1.33 (assume @p518 (forall @t225 (=> @t574 (=> @t573 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t352 @t321))))) % 1.12/1.33 (assume @p519 (forall @t225 (=> @t574 (=> @t573 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t450))))) % 1.12/1.33 (assume @p520 (forall @t225 (=> @t574 (=> @t573 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t321))))) % 1.12/1.33 (assume @p521 (forall (@list @t209 @t167) (=> @t460 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t466) @t167)))) % 1.12/1.33 (assume @p522 (forall @t169 (=> @t460 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t352)) @t167)))) % 1.12/1.33 (assume @p523 (forall @t169 (=> @t460 (= @t167 @t575)))) % 1.12/1.33 (assume @p524 (forall @t169 (=> @t460 (= @t575 @t167)))) % 1.12/1.33 (assume @p525 (forall @t398 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 @t453) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 @t28) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 @t246))))) % 1.12/1.33 (assume @p526 (forall @t322 (and (=> @t499 (= @t332 @t167)) (=> @t576 (= @t332 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t513 @t167))))))) % 1.12/1.33 (assume @p527 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t571 @t579) (and (=> @t578 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t577)) @t578)))) % 1.12/1.33 (assume @p528 (forall @t444 (= @t582 @t581))) % 1.12/1.33 (assume @p529 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t498 @t497) @t581))) % 1.12/1.33 (assume @p530 (forall @t588 (= @t587 (and (=> @t586 @t585) (forall @t340 (=> @t584 @t583)))))) % 1.12/1.33 (assume @p531 (forall @t588 (= @t587 (not (or (and @t586 (not @t585)) (exists @t340 (and @t584 (not @t583)))))))) % 1.12/1.33 (assume @p532 (forall @t580 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t571 @t579) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 @t577)) @t570)))) % 1.12/1.33 (assume @p533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t353)) % 1.12/1.33 (assume @p534 (forall @t591 (=> @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t590 @t2) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t589 @t526))))) % 1.12/1.33 (assume @p535 (forall @t591 (=> @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 @t590) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t589))))) % 1.12/1.33 (assume @p536 (forall @t322 (and (=> @t499 (= @t321 @t351)) (=> @t576 (= @t321 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t513 @t167))))))) % 1.12/1.33 (assume @p537 (= @t593 (tptp.c_Nat_OSuc @t537))) % 1.12/1.33 (assume @p538 (= @t544 @t352)) % 1.12/1.33 (assume @p539 (forall @t169 (= (tptp.c_Nat_OSuc @t594) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t593 @t167)))) % 1.12/1.33 (assume @p540 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t399 @t399) @t415)) % 1.12/1.33 (assume @p541 (forall @t572 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t571) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t79)))) % 1.12/1.33 (assume @p542 (forall (@list @t97) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t421) (= @t421 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t399)))))) % 1.12/1.33 (assume @p543 (forall @t169 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t167)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t167))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t167))))))) % 1.12/1.33 (assume @p544 (forall @t425 (and (=> @t423 (= @t595 @t420)) (=> @t424 (and (=> @t596 (= @t595 @t421)) (=> (not @t596) (= @t595 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t418))))))))) % 1.12/1.33 (assume @p545 (= @t415 @t537)) % 1.12/1.33 (assume @p546 (= @t537 @t415)) % 1.12/1.33 (assume @p547 (forall @t169 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t415 @t167) @t594))) % 1.12/1.33 (assume @p548 (forall @t169 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t415) @t594))) % 1.12/1.33 (assume @p549 (forall @t225 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t542 @t167) (= @t512 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t544)))))) % 1.12/1.33 (assume @p550 (forall @t51 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t415 @t40) @t597))) % 1.12/1.33 (assume @p551 (forall @t51 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t40 @t415) @t597))) % 1.12/1.33 (assume @p552 (forall (@list @t68 @t418 @t97) (and (=> @t423 (= @t598 @t351)) (=> @t424 (= @t598 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t419 @t68)))))) % 1.12/1.33 (assume @p553 (forall @t602 (=> @t601 (=> @t600 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t270 @t3) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t392 @t599)))))) % 1.12/1.33 (assume @p554 (forall @t602 (=> @t601 (=> @t600 (=> @t603 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t392)))))) % 1.12/1.33 (assume @p555 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t412)) % 1.12/1.33 (assume @p556 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t415)) % 1.12/1.33 (assume @p557 (forall @t608 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t41) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t32 @t3) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t160 @t3) (=> @t607 (=> @t606 (=> @t605 (tptp.c_Orderings_Oord__class_Oless @t41 @t604 @t3))))))))) % 1.12/1.33 (assume @p558 (forall @t375 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t612) @t609)))) % 1.12/1.33 (assume @p559 (forall @t567 (=> @t65 (=> @t434 (=> (not @t613) (tptp.c_Orderings_Oord__class_Oless @t41 @t160 @t32)))))) % 1.12/1.33 (assume @p560 (forall @t375 (=> @t616 (=> @t615 @t614)))) % 1.12/1.33 (assume @p561 (forall @t618 (=> @t616 (= (= @t617 (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t29)) @t216)))) % 1.12/1.33 (assume @p562 (forall @t133 (=> @t616 @t619))) % 1.12/1.33 (assume @p563 (forall @t273 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t270) @t271))) % 1.12/1.33 (assume @p564 (forall @t133 (=> @t620 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t239 @t3) @t239)))) % 1.12/1.33 (assume @p565 (forall (@list @t4 @t41) (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t239 @t4) @t239)))) % 1.12/1.33 (assume @p566 (forall @t622 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t239 @t160) @t239)))) % 1.12/1.33 (assume @p567 (forall @t133 (=> @t620 @t623))) % 1.12/1.33 (assume @p568 (forall @t133 (=> @t621 @t623))) % 1.12/1.33 (assume @p569 (forall @t146 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t32 @t239) @t239)))) % 1.12/1.33 (assume @p570 (forall @t618 (=> (tptp.class_Rings_Oring__no__zero__divisors @t41) (= (= @t625 @t239) (or @t240 @t624))))) % 1.12/1.33 (assume @p571 (forall @t375 (=> @t627 (=> @t373 (=> @t371 (not @t626)))))) % 1.12/1.33 (assume @p572 (forall @t375 (=> @t627 (=> @t626 (or @t372 @t370))))) % 1.12/1.33 (assume @p573 (forall @t267 (=> @t628 (not (= @t239 @t362))))) % 1.12/1.33 (assume @p574 (forall @t267 (=> @t628 (not (= @t362 @t239))))) % 1.12/1.33 (assume @p575 (forall @t631 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 (tptp.c_Groups_Oplus__class_Oplus @t41 @t4 @t629)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t142 @t630))))) % 1.12/1.33 (assume @p576 (forall @t636 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t632 @t635) (tptp.c_Groups_Oplus__class_Oplus @t41 @t634 @t633))))) % 1.12/1.33 (assume @p577 (forall @t640 (=> (tptp.class_Rings_Ocomm__semiring @t41) (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t639 @t1) (tptp.c_Groups_Oplus__class_Oplus @t41 @t638 @t637))))) % 1.12/1.33 (assume @p578 (forall @t643 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t641) @t4) (tptp.c_Groups_Oplus__class_Oplus @t41 @t142 @t642))))) % 1.12/1.33 (assume @p579 (forall @t647 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t635 @t644) (tptp.c_Groups_Oplus__class_Oplus @t41 @t646 @t645))))) % 1.12/1.33 (assume @p580 (forall (@list @t1 @t4 @t52 @t3 @t41) (=> (tptp.class_Rings_Osemiring @t41) (= (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t52) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t4 @t52) @t1)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t639 @t52) @t1))))) % 1.12/1.33 (assume @p581 (forall @t631 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 (tptp.c_Groups_Ominus__class_Ominus @t41 @t4 @t629)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t142 @t630))))) % 1.12/1.33 (assume @p582 (forall @t636 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t632 @t648) (tptp.c_Groups_Ominus__class_Ominus @t41 @t634 @t633))))) % 1.12/1.33 (assume @p583 (forall @t643 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t641) @t4) (tptp.c_Groups_Ominus__class_Ominus @t41 @t142 @t642))))) % 1.12/1.33 (assume @p584 (forall @t647 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t648 @t644) (tptp.c_Groups_Ominus__class_Ominus @t41 @t646 @t645))))) % 1.12/1.33 (assume @p585 (forall @t375 (=> @t329 (= @t651 @t650)))) % 1.12/1.33 (assume @p586 (forall @t375 (=> @t329 (= @t651 @t653)))) % 1.12/1.33 (assume @p587 (forall @t375 (=> @t621 (= @t650 @t651)))) % 1.12/1.33 (assume @p588 (forall (@list @t32 @t632 @t41) (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t632 @t654) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t634))))) % 1.12/1.33 (assume @p589 (forall @t375 (=> @t621 (= @t653 @t651)))) % 1.12/1.33 (assume @p590 (forall @t567 (=> @t621 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t654 @t160) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t327))))) % 1.12/1.33 (assume @p591 (forall @t375 (=> @t329 (= @t653 @t650)))) % 1.12/1.33 (assume @p592 (forall @t375 (=> @t329 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t652 @t649) @t142)))) % 1.12/1.33 (assume @p593 (forall @t618 (=> (tptp.class_Rings_Oidom @t41) (= (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t27 @t27) (tptp.c_Groups_Otimes__class_Otimes @t41 @t29 @t29)) (or @t216 @t656))))) % 1.12/1.33 (assume @p594 (forall @t133 (=> @t374 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t239 @t3) @t239)))) % 1.12/1.33 (assume @p595 (forall @t622 (=> @t377 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t239 @t160) @t239)))) % 1.12/1.33 (assume @p596 (forall @t133 (=> @t616 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t239) @t239)))) % 1.12/1.33 (assume @p597 (forall @t640 (=> @t374 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t657) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t142 @t1))))) % 1.12/1.33 (assume @p598 (forall @t640 (=> @t374 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t639 @t1) (tptp.c_Groups_Oplus__class_Oplus @t41 @t658 @t657))))) % 1.12/1.33 (assume @p599 (forall @t647 (=> @t377 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t635 @t644) (tptp.c_Groups_Oplus__class_Oplus @t41 @t660 @t659))))) % 1.12/1.33 (assume @p600 (forall @t640 (=> @t374 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t109 @t1) (tptp.c_Groups_Ominus__class_Ominus @t41 @t658 @t657))))) % 1.12/1.33 (assume @p601 (forall @t647 (=> @t377 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t648 @t644) (tptp.c_Groups_Ominus__class_Ominus @t41 @t660 @t659))))) % 1.12/1.33 (assume @p602 (forall @t133 (=> @t374 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t3 @t362) @t3)))) % 1.12/1.33 (assume @p603 (forall @t375 (=> @t65 @t664))) % 1.12/1.33 (assume @p604 (forall @t133 (=> @t65 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t662 @t662) @t665)))) % 1.12/1.33 (assume @p605 (forall @t267 (=> @t616 @t666))) % 1.12/1.33 (assume @p606 (forall @t243 (=> @t616 (= (= @t617 @t239) @t240)))) % 1.12/1.33 (assume @p607 (forall @t133 (=> @t374 (=> @t373 (not @t667))))) % 1.12/1.33 (assume @p608 (forall @t133 (=> @t374 (=> @t373 @t619)))) % 1.12/1.33 (assume @p609 (forall @t133 (=> @t374 (=> @t667 @t372)))) % 1.12/1.33 (assume @p610 (forall @t375 (=> @t374 (=> @t615 (=> @t373 (=> @t371 @t614)))))) % 1.12/1.33 (assume @p611 (forall @t375 (=> @t411 (= @t609 (tptp.c_RealVector_Onorm__class_Onorm @t41 @t668))))) % 1.12/1.33 (assume @p612 (forall @t375 (=> @t374 (= @t670 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t652 @t4))))) % 1.12/1.33 (assume @p613 (forall @t567 (=> @t377 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t654 @t160) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t671))))) % 1.12/1.33 (assume @p614 (forall @t267 (=> @t65 (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t362) @t362)))) % 1.12/1.33 (assume @p615 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t354)) % 1.12/1.33 (assume @p616 (forall @t146 (=> @t411 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t654) @t383)))) % 1.12/1.33 (assume @p617 (forall @t267 (=> @t374 (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t362) @t362)))) % 1.12/1.33 (assume @p618 (forall @t133 (=> @t616 @t672))) % 1.12/1.33 (assume @p619 (forall (@list @t3 @t270) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t270 @t3) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t270 @t270)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t3 @t270)))) % 1.12/1.33 (assume @p620 (forall @t133 (=> @t411 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t611) @t611)))) % 1.12/1.33 (assume @p621 (forall @t133 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t665)))) % 1.12/1.33 (assume @p622 (forall @t618 (=> @t536 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t625) @t675)))) % 1.12/1.33 (assume @p623 (forall @t618 (=> @t536 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t625 @t239) @t676)))) % 1.12/1.33 (assume @p624 (forall @t375 (=> @t680 (=> @t679 (=> @t678 @t677))))) % 1.12/1.33 (assume @p625 (forall @t375 (=> @t680 (=> @t679 (=> @t682 @t681))))) % 1.12/1.33 (assume @p626 (forall @t375 (=> @t680 (=> @t679 (=> @t682 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t683 @t239)))))) % 1.12/1.33 (assume @p627 (forall @t375 (=> @t680 (=> @t684 (=> @t678 @t681))))) % 1.12/1.33 (assume @p628 (forall @t375 (=> @t685 (=> @t684 (=> @t682 @t677))))) % 1.12/1.33 (assume @p629 (forall @t640 (=> @t689 (=> @t688 (=> @t687 @t686))))) % 1.12/1.33 (assume @p630 (forall @t640 (=> @t689 @t693))) % 1.12/1.33 (assume @p631 (forall @t640 (=> (tptp.class_Rings_Oordered__comm__semiring @t41) @t693))) % 1.12/1.33 (assume @p632 (forall @t696 (=> @t685 (=> @t695 (=> @t694 @t686))))) % 1.12/1.33 (assume @p633 (forall @t696 (=> @t685 (=> @t695 (=> @t694 @t692))))) % 1.12/1.33 (assume @p634 (forall @t700 (=> @t689 (=> @t688 (=> @t699 (=> @t679 @t698)))))) % 1.12/1.33 (assume @p635 (forall @t700 (=> @t689 (=> @t688 (=> @t699 (=> @t678 @t698)))))) % 1.12/1.33 (assume @p636 (forall @t375 (=> @t685 (=> (or (and @t679 @t678) (and @t684 @t682)) @t677)))) % 1.12/1.33 (assume @p637 (forall @t375 (=> @t680 (=> (or (and @t679 @t682) (and @t684 @t678)) @t681)))) % 1.12/1.33 (assume @p638 (forall @t696 (=> @t536 (=> @t703 (=> @t702 @t701))))) % 1.12/1.33 (assume @p639 (forall @t696 (=> @t536 (=> @t703 (=> @t702 @t704))))) % 1.12/1.33 (assume @p640 (forall @t640 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t41) @t707))) % 1.12/1.33 (assume @p641 (forall @t640 (=> @t708 @t707))) % 1.12/1.33 (assume @p642 (forall @t640 (=> @t708 (=> @t706 (=> @t705 @t704))))) % 1.12/1.33 (assume @p643 (forall @t375 (=> @t536 (=> @t711 (=> @t710 @t709))))) % 1.12/1.33 (assume @p644 (forall @t375 (=> @t708 (=> @t711 (=> @t713 @t712))))) % 1.12/1.33 (assume @p645 (forall @t718 (=> @t536 (=> @t304 (= @t717 @t714))))) % 1.12/1.33 (assume @p646 (forall @t721 (=> @t708 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t683) @t720)))) % 1.12/1.33 (assume @p647 (forall @t375 (=> @t708 (=> @t709 @t720)))) % 1.12/1.33 (assume @p648 (forall @t375 (=> @t708 (=> @t719 (=> @t710 (tptp.c_Orderings_Oord__class_Oless @t41 @t683 @t239)))))) % 1.12/1.33 (assume @p649 (forall @t375 (=> @t708 (=> @t719 (=> @t710 @t712))))) % 1.12/1.33 (assume @p650 (forall @t375 (=> @t708 (=> @t719 (=> @t713 @t709))))) % 1.12/1.33 (assume @p651 (forall @t718 (=> @t536 (=> @t307 (= @t717 @t722))))) % 1.12/1.33 (assume @p652 (forall @t718 (=> @t536 (= @t717 @t723)))) % 1.12/1.33 (assume @p653 (forall @t725 (=> @t536 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t724 (tptp.c_Groups_Otimes__class_Otimes @t41 @t29 @t217)) @t723)))) % 1.12/1.33 (assume @p654 (forall @t133 (=> @t566 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t665 @t239))))) % 1.12/1.33 (assume @p655 (forall @t640 (=> @t728 (=> @t719 @t727)))) % 1.12/1.33 (assume @p656 (forall @t267 (=> @t728 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t362)))) % 1.12/1.33 (assume @p657 (forall @t267 (=> @t728 (not (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t362 @t239))))) % 1.12/1.33 (assume @p658 (forall @t267 (=> @t728 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t239))))) % 1.12/1.33 (assume @p659 (forall @t267 (=> @t728 (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t362)))) % 1.12/1.33 (assume @p660 (forall @t243 (=> @t65 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t729) @t265)))) % 1.12/1.33 (assume @p661 (forall (@list @t167 @t2 @t41) (=> @t728 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t2) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t167) (tptp.c_Orderings_Oord__class_Oless @t41 @t362 (tptp.c_Groups_Otimes__class_Otimes @t41 @t2 @t167))))))) % 1.12/1.33 (assume @p662 (forall @t133 (=> @t728 (tptp.c_Orderings_Oord__class_Oless @t41 @t3 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t362))))) % 1.12/1.33 (assume @p663 (forall @t330 (=> @t621 (= @t328 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t324 @t326) @t325) (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t326)))))) % 1.12/1.33 (assume @p664 (forall @t736 (=> @t329 (= @t735 (= @t217 @t732))))) % 1.12/1.33 (assume @p665 (forall @t736 (=> @t329 (= @t735 (= @t738 @t730))))) % 1.12/1.33 (assume @p666 (forall @t718 (=> @t374 (=> @t288 (= @t740 @t739))))) % 1.12/1.33 (assume @p667 (forall @t743 (=> @t374 (=> @t288 (= @t742 @t741))))) % 1.12/1.33 (assume @p668 (forall @t745 (=> @t374 (=> @t744 (=> (= @t4 @t638) (= @t657 @t3)))))) % 1.12/1.33 (assume @p669 (forall @t746 (=> @t374 (=> @t744 (=> (= @t638 @t4) (= @t3 @t657)))))) % 1.12/1.33 (assume @p670 (forall @t275 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t41) (= (= @t534 @t362) (or @t747 (= @t39 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t362))))))) % 1.12/1.33 (assume @p671 (forall @t749 (=> @t374 (=> (not @t624) (= (= @t748 @t362) @t216))))) % 1.12/1.33 (assume @p672 (forall @t133 (=> @t374 @t751))) % 1.12/1.33 (assume @p673 (forall @t133 (=> @t616 (and (=> @t372 (= @t750 @t239)) @t751)))) % 1.12/1.33 (assume @p674 (forall @t113 (=> @t65 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t662 @t1) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t661 @t108) (tptp.c_Orderings_Oord__class_Oless @t41 @t663 @t141)))))) % 1.12/1.33 (assume @p675 (forall @t721 (=> @t374 (=> @t371 @t752)))) % 1.12/1.33 (assume @p676 (forall @t721 (=> @t374 (=> @t371 @t753)))) % 1.12/1.33 (assume @p677 (forall @t375 (=> @t374 (=> @t373 (=> @t371 (= @t754 (tptp.c_Groups_Otimes__class_Otimes @t41 @t367 @t368))))))) % 1.12/1.33 (assume @p678 (forall @t267 (=> @t411 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t239) @t53)))) % 1.12/1.33 (assume @p679 (forall @t275 (=> @t411 (= (= @t755 @t53) @t532)))) % 1.12/1.33 (assume @p680 (forall @t618 (=> @t65 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t757 @t29) (and @t722 @t756))))) % 1.12/1.33 (assume @p681 (forall @t133 (=> @t374 (=> @t373 @t672)))) % 1.12/1.33 (assume @p682 (forall @t375 (=> @t374 (=> (= @t142 @t362) (= @t368 @t4))))) % 1.12/1.33 (assume @p683 (forall @t567 (=> @t384 (= @t759 @t758)))) % 1.12/1.33 (assume @p684 (forall @t146 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t383)))) % 1.12/1.33 (assume @p685 (forall @t146 (=> @t411 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t383 @t53))))) % 1.12/1.33 (assume @p686 (forall @t375 (=> @t374 @t760))) % 1.12/1.33 (assume @p687 (forall (@list @t39) (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t261)) @t260))) % 1.12/1.33 (assume @p688 (forall @t133 (=> @t374 @t761))) % 1.12/1.33 (assume @p689 (forall @t267 (=> @t762 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t362) @t175)))) % 1.12/1.33 (assume @p690 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t392)) % 1.12/1.33 (assume @p691 (forall @t164 (=> @t413 (=> @t763 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t160)))))) % 1.12/1.33 (assume @p692 (forall @t164 (=> @t413 (=> @t763 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t32 @t160)))))) % 1.12/1.33 (assume @p693 (forall @t375 (=> (and @t282 @t377) @t764))) % 1.12/1.33 (assume @p694 (forall @t133 (=> (and @t384 @t616) @t765))) % 1.12/1.33 (assume @p695 (forall @t718 (=> @t536 (=> @t307 (= @t767 @t766))))) % 1.12/1.33 (assume @p696 (forall @t718 (=> @t536 (=> @t304 (= @t767 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t27)))))) % 1.12/1.33 (assume @p697 (forall @t700 (=> @t708 (=> @t706 (=> @t770 (=> @t713 @t769)))))) % 1.12/1.33 (assume @p698 (forall @t700 (=> @t708 (=> @t706 (=> @t770 (=> @t679 @t769)))))) % 1.12/1.33 (assume @p699 (forall @t700 (=> @t708 (=> @t706 (=> @t699 (=> @t679 (=> @t705 @t768))))))) % 1.12/1.33 (assume @p700 (forall @t700 (=> @t708 (=> @t688 (=> @t770 (=> @t719 @t769)))))) % 1.12/1.33 (assume @p701 (forall @t774 (=> @t773 @t772))) % 1.12/1.33 (assume @p702 (forall @t774 (=> @t708 @t772))) % 1.12/1.33 (assume @p703 (forall @t746 (=> @t773 @t775))) % 1.12/1.33 (assume @p704 (forall @t746 (=> @t708 @t775))) % 1.12/1.33 (assume @p705 (forall @t774 (=> @t708 (=> @t686 @t776)))) % 1.12/1.33 (assume @p706 (forall @t746 (=> @t708 (=> @t692 @t776)))) % 1.12/1.33 (assume @p707 (forall @t567 (=> @t65 (=> @t779 (=> @t778 (=> @t777 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t327 @t32))))))) % 1.12/1.33 (assume @p708 (forall @t567 (=> @t65 (=> @t779 (=> @t778 (=> @t777 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t780 @t32))))))) % 1.12/1.33 (assume @p709 (forall @t267 (=> @t728 (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t376)))) % 1.12/1.33 (assume @p710 (forall @t736 (=> @t685 (= @t781 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t217 @t732))))) % 1.12/1.33 (assume @p711 (forall @t736 (=> @t685 (= @t781 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t738 @t730))))) % 1.12/1.33 (assume @p712 (forall @t736 (=> @t685 (= @t782 (tptp.c_Orderings_Oord__class_Oless @t41 @t217 @t732))))) % 1.12/1.33 (assume @p713 (forall @t736 (=> @t685 (= @t782 (tptp.c_Orderings_Oord__class_Oless @t41 @t738 @t730))))) % 1.12/1.33 (assume @p714 (forall @t567 (=> @t65 (=> @t779 (= (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t160) @t32) (tptp.c_Groups_Oabs__class_Oabs @t41 @t780)))))) % 1.12/1.33 (assume @p715 (forall @t375 (=> (tptp.class_Rings_Oordered__ring__abs @t41) (=> (and (or @t679 @t684) (or @t678 @t682)) @t664)))) % 1.12/1.33 (assume @p716 (forall @t375 (=> @t374 (=> @t373 (=> @t371 (= @t783 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 @t639) @t367))))))) % 1.12/1.33 (assume @p717 (forall @t375 (=> @t374 (=> @t373 (=> @t371 (= @t369 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 @t668) @t367))))))) % 1.12/1.33 (assume @p718 (forall @t133 (=> @t374 (=> @t373 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t368) @t362))))) % 1.12/1.33 (assume @p719 (forall @t133 (=> @t374 @t784))) % 1.12/1.33 (assume @p720 (forall @t275 (=> @t411 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t755 @t53) @t532)))) % 1.12/1.33 (assume @p721 (forall @t275 (=> @t411 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t755) @t569)))) % 1.12/1.33 (assume @p722 (forall @t133 (=> @t374 (=> @t373 @t761)))) % 1.12/1.33 (assume @p723 (forall @t567 (=> @t621 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t759 @t758)))) % 1.12/1.33 (assume @p724 (forall @t787 (=> @t621 (=> @t786 (=> @t785 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t759 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t270 @t333))))))) % 1.12/1.33 (assume @p725 (forall @t721 (=> @t377 (=> @t371 @t764)))) % 1.12/1.33 (assume @p726 (forall @t567 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t788 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t383 @t410))))) % 1.12/1.33 (assume @p727 (forall @t787 (=> @t411 (=> @t786 (=> @t785 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t788 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t270 @t333))))))) % 1.12/1.33 (assume @p728 (forall @t375 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t609 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t611 @t610))))) % 1.12/1.33 (assume @p729 (forall @t375 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t612 (tptp.c_RealVector_Onorm__class_Onorm @t41 @t639))))) % 1.12/1.33 (assume @p730 (forall @t375 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t612 @t609)))) % 1.12/1.33 (assume @p731 (forall @t118 (=> (and @t44 @t762) (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t100) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t75)))))) % 1.12/1.33 (assume @p732 (forall @t133 (=> @t384 (=> @t373 @t765)))) % 1.12/1.33 (assume @p733 (forall @t608 (=> (tptp.class_Rings_Olinordered__semiring__1 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t32 @t3) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t160 @t3) (=> @t607 (=> @t606 (=> @t605 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t604 @t3))))))))) % 1.12/1.33 (assume @p734 (forall @t700 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 @t790) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 @t139) (tptp.c_RealVector_Onorm__class_Onorm @t41 @t140)))))) % 1.12/1.33 (assume @p735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t592))) % 1.12/1.33 (assume @p736 (forall @t797 (=> @t796 (=> @t794 (=> @t792 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t791)))))) % 1.12/1.33 (assume @p737 (forall @t797 (=> @t799 (=> @t798 (=> @t792 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t791 @t354)))))) % 1.12/1.33 (assume @p738 (forall @t804 (=> @t803 (=> @t798 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t793 @t4) (=> @t801 @t800)))))) % 1.12/1.33 (assume @p739 (forall @t808 (=> @t807 (=> @t796 (=> @t794 (=> @t603 (=> @t792 (=> @t806 @t805)))))))) % 1.12/1.33 (assume @p740 (forall @t804 (=> @t803 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t354) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t4 @t270) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t4 @t793) @t805)))))) % 1.12/1.33 (assume @p741 (forall @t808 (=> @t807 (=> @t799 (=> @t801 (=> @t798 (=> @t792 (=> @t806 @t800)))))))) % 1.12/1.33 (assume @p742 (forall @t814 (=> @t564 (= @t813 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t810))))) % 1.12/1.33 (assume @p743 (forall @t817 (=> @t816 (= @t813 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t815 @t246))))) % 1.12/1.33 (assume @p744 (not (forall @t340 (=> @t339 (not @t338))))) % 1.12/1.33 (assume @p745 (forall @t444 (= @t496 (or @t492 @t432)))) % 1.12/1.33 (assume @p746 (forall (@list @t68 @t208 @t331 @t209) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t819 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t818 @t68)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t481 @t331) @t68)))) % 1.12/1.33 (assume @p747 (forall @t444 (=> @t546 (= @t496 @t432)))) % 1.12/1.33 (assume @p748 (forall @t444 (=> @t546 (= @t548 @t431)))) % 1.12/1.33 (assume @p749 (forall @t444 (=> @t546 (= @t582 @t478)))) % 1.12/1.33 (assume @p750 (forall @t817 (=> @t816 (= @t820 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t815 @t246))))) % 1.12/1.33 (assume @p751 (forall (@list @t167 @t2 @t331 @t209 @t208) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t208 @t209) (= @t821 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t454 @t331) @t2) @t167))))) % 1.12/1.33 (assume @p752 (forall @t817 (=> @t816 (= @t822 (= @t815 @t246))))) % 1.12/1.33 (assume @p753 (forall @t814 (=> @t564 (= @t820 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t28 @t810))))) % 1.12/1.33 (assume @p754 (forall (@list @t167 @t2 @t331 @t208 @t209) (=> @t449 (= @t821 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t2 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t208 @t209) @t331) @t167)))))) % 1.12/1.33 (assume @p755 (forall @t814 (=> @t564 (= @t822 (= @t28 @t810))))) % 1.12/1.33 (assume @p756 (forall @t133 (=> @t823 (=> @t719 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t3 @t362) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t362 @t368)))))) % 1.12/1.33 (assume @p757 (forall @t275 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t825 @t362) (or @t824 (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t39)))))) % 1.12/1.33 (assume @p758 (forall (@list @t75 @t40 @t160 @t32 @t41) (=> @t282 (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t671 (tptp.c_Rings_Oinverse__class_Odivide @t41 @t40 @t75)) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t826 (tptp.c_Groups_Otimes__class_Otimes @t41 @t160 @t75)))))) % 1.12/1.33 (assume @p759 (forall @t267 (=> @t282 @t666))) % 1.12/1.33 (assume @p760 (forall @t375 (=> @t282 @t752))) % 1.12/1.33 (assume @p761 (forall @t375 (=> @t282 @t753))) % 1.12/1.33 (assume @p762 (forall @t375 (=> @t282 (= @t754 (tptp.c_Groups_Otimes__class_Otimes @t41 @t368 @t367))))) % 1.12/1.33 (assume @p763 (forall @t275 (=> @t282 (= (= @t825 @t362) @t747)))) % 1.12/1.33 (assume @p764 (forall @t375 (=> @t302 @t827))) % 1.12/1.33 (assume @p765 (forall @t375 (=> @t282 (= (tptp.c_Rings_Oinverse__class_Oinverse @t41 @t669) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t4 @t3))))) % 1.12/1.33 (assume @p766 (forall @t133 (=> @t302 @t828))) % 1.12/1.33 (assume @p767 (forall @t618 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t748) @t675)))) % 1.12/1.33 (assume @p768 (forall @t618 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t748 @t239) @t676)))) % 1.12/1.33 (assume @p769 (forall @t640 (=> @t302 (=> @t688 (=> @t687 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t658 @t657)))))) % 1.12/1.33 (assume @p770 (forall @t640 (=> @t302 (=> @t688 (=> @t694 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t657 @t658)))))) % 1.12/1.33 (assume @p771 (forall @t696 (=> @t823 (=> @t703 (=> @t702 @t829))))) % 1.12/1.33 (assume @p772 (forall @t640 (=> @t823 (=> @t706 (=> @t705 @t829))))) % 1.12/1.33 (assume @p773 (forall @t567 (=> @t823 (=> @t832 (=> @t831 @t830))))) % 1.12/1.33 (assume @p774 (forall @t567 (=> @t823 (=> @t832 (=> @t834 @t833))))) % 1.12/1.33 (assume @p775 (forall @t567 (=> @t823 (=> @t835 (=> @t831 @t833))))) % 1.12/1.33 (assume @p776 (forall @t567 (=> @t823 (=> @t835 (=> @t834 @t830))))) % 1.12/1.33 (assume @p777 (forall @t618 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t748 @t239) (or (and @t310 @t837) (and @t265 @t836)))))) % 1.12/1.33 (assume @p778 (forall @t618 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t748) (or (and @t310 @t836) (and @t265 @t837)))))) % 1.12/1.33 (assume @p779 (forall @t839 (=> @t282 (= @t740 (and (=> @t288 @t739) @t838))))) % 1.12/1.33 (assume @p780 (forall @t840 (=> @t282 (= @t742 (and (=> @t288 @t741) @t838))))) % 1.12/1.33 (assume @p781 (forall @t746 (=> @t282 (=> @t744 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t638 @t637) @t669))))) % 1.12/1.33 (assume @p782 (forall @t746 (=> @t282 (=> @t744 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t691 @t690) @t669))))) % 1.12/1.33 (assume @p783 (forall (@list @t81 @t39 @t37 @t38 @t41) (=> @t144 (=> @t568 (=> (not (= @t37 @t239)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t41 @t39 @t38) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t81 @t37)) (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t39 @t37) (tptp.c_Groups_Otimes__class_Otimes @t41 @t81 @t38)))))))) % 1.12/1.33 (assume @p784 (forall @t243 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t617 @t239) @t314)))) % 1.12/1.33 (assume @p785 (forall @t243 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t617) @t319)))) % 1.12/1.33 (assume @p786 (forall @t243 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t617) @t310)))) % 1.12/1.33 (assume @p787 (forall @t243 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t617 @t239) @t265)))) % 1.12/1.33 (assume @p788 (forall @t133 (=> @t823 (=> @t719 @t841)))) % 1.12/1.33 (assume @p789 (forall @t133 (=> @t823 (=> @t841 (=> @t373 @t719))))) % 1.12/1.33 (assume @p790 (forall @t133 (=> @t823 (=> @t711 @t842)))) % 1.12/1.33 (assume @p791 (forall @t375 (=> @t823 (=> @t706 (=> @t719 @t843))))) % 1.12/1.33 (assume @p792 (forall @t375 (=> @t823 (=> @t706 (=> @t710 @t843))))) % 1.12/1.33 (assume @p793 (forall @t133 (=> @t823 (=> @t842 (=> @t373 @t711))))) % 1.12/1.33 (assume @p794 (forall @t375 (=> @t823 (=> @t844 (=> @t719 @t703))))) % 1.12/1.33 (assume @p795 (forall @t375 (=> @t823 (=> @t844 (=> @t710 @t703))))) % 1.12/1.33 (assume @p796 (forall @t721 (=> @t823 (=> @t371 @t827)))) % 1.12/1.33 (assume @p797 (forall @t375 (=> @t144 @t760))) % 1.12/1.33 (assume @p798 (forall @t133 (=> @t823 (=> @t373 @t828)))) % 1.12/1.33 (assume @p799 (forall @t567 (=> @t823 (=> @t779 (=> @t834 @t845))))) % 1.12/1.33 (assume @p800 (forall @t567 (=> @t823 (=> @t779 (=> @t831 @t846))))) % 1.12/1.33 (assume @p801 (forall @t852 (=> @t823 (=> @t835 (=> @t851 (=> @t850 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t75 @t40) @t849))))))) % 1.12/1.33 (assume @p802 (forall @t852 (=> @t823 (=> @t779 (=> @t613 (=> @t850 (=> @t853 @t849))))))) % 1.12/1.33 (assume @p803 (forall @t852 (=> @t823 (=> @t779 (=> @t851 (=> @t850 (=> @t853 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t848 @t847)))))))) % 1.12/1.33 (assume @p804 (forall @t567 (=> @t823 (=> @t854 (=> @t834 @t846))))) % 1.12/1.33 (assume @p805 (forall @t567 (=> @t823 (=> @t854 (=> @t831 @t845))))) % 1.12/1.33 (assume @p806 (forall @t839 (=> @t302 (= @t857 (and (=> @t307 @t856) (=> @t308 (and (=> @t304 @t855) (=> @t305 @t265)))))))) % 1.12/1.33 (assume @p807 (forall @t840 (=> @t302 (= @t858 (and (=> @t307 @t855) (=> @t308 (and (=> @t304 @t856) (=> @t305 @t310)))))))) % 1.12/1.33 (assume @p808 (forall @t718 (=> @t823 (=> @t307 (= @t857 @t856))))) % 1.12/1.33 (assume @p809 (forall @t743 (=> @t823 (=> @t307 (= @t858 @t855))))) % 1.12/1.33 (assume @p810 (forall @t860 (=> @t823 (=> @t834 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t32 @t859) (tptp.c_Orderings_Oord__class_Oless @t41 @t671 @t40)))))) % 1.12/1.33 (assume @p811 (forall @t861 (=> @t823 (=> @t834 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t859 @t32) (tptp.c_Orderings_Oord__class_Oless @t41 @t40 @t671)))))) % 1.12/1.33 (assume @p812 (forall @t718 (=> @t823 (=> @t304 (= @t857 @t855))))) % 1.12/1.33 (assume @p813 (forall @t743 (=> @t823 (=> @t304 (= @t858 @t856))))) % 1.12/1.33 (assume @p814 (forall @t696 (=> @t823 (=> @t703 (=> @t705 @t864))))) % 1.12/1.33 (assume @p815 (forall @t640 (=> @t823 (=> @t706 (=> @t702 @t864))))) % 1.12/1.33 (assume @p816 (forall @t861 (=> @t282 (=> @t867 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t40 @t671) @t866))))) % 1.12/1.33 (assume @p817 (forall @t871 (=> @t144 (=> @t870 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t32 @t869) (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t868 @t160) @t40)))))) % 1.12/1.33 (assume @p818 (forall @t860 (=> @t282 (=> @t867 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t671 @t40) @t866))))) % 1.12/1.33 (assume @p819 (forall @t871 (=> @t144 (=> @t870 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t848 @t160) (tptp.c_Rings_Oinverse__class_Odivide @t41 @t865 @t40)))))) % 1.12/1.33 (assume @p820 (forall @t875 (=> @t144 (=> @t867 (=> @t870 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t671 @t874) (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t826 @t873) @t872))))))) % 1.12/1.33 (assume @p821 (forall @t871 (=> @t144 (=> @t870 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t32 @t869) (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t868 @t160) @t40)))))) % 1.12/1.33 (assume @p822 (forall @t871 (=> @t144 (=> @t870 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t848 @t160) (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t32 @t859) @t40)))))) % 1.12/1.33 (assume @p823 (forall @t875 (=> @t144 (=> @t867 (=> @t870 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t671 @t874) (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t826 @t873) @t872))))))) % 1.12/1.33 (assume @p824 (forall @t375 (=> @t823 (=> @t876 (=> @t710 @t695))))) % 1.12/1.33 (assume @p825 (forall @t375 (=> @t823 (=> @t876 (=> @t719 @t695))))) % 1.12/1.33 (assume @p826 (forall @t375 (=> @t823 (=> @t688 (=> @t710 @t877))))) % 1.12/1.33 (assume @p827 (forall @t375 (=> @t823 (=> @t688 (=> @t719 @t877))))) % 1.12/1.33 (assume @p828 (forall @t375 (=> @t823 (=> @t706 (tptp.c_Orderings_Oord__class_Oless @t41 @t3 @t878))))) % 1.12/1.33 (assume @p829 (forall @t375 (=> @t823 (=> @t706 (tptp.c_Orderings_Oord__class_Oless @t41 @t878 @t4))))) % 1.12/1.33 (assume @p830 (forall @t275 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t825 @t362) (or @t824 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t362 @t39)))))) % 1.12/1.33 (assume @p831 (forall @t375 (=> @t144 (=> @t373 (=> @t371 (= @t783 (tptp.c_Groups_Otimes__class_Otimes @t41 (tptp.c_Groups_Otimes__class_Otimes @t41 @t639 @t368) @t367))))))) % 1.12/1.33 (assume @p832 (forall @t275 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t825) (and @t879 (tptp.c_Orderings_Oord__class_Oless @t41 @t39 @t362)))))) % 1.12/1.33 (assume @p833 (forall @t133 (=> @t823 (=> @t719 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t3 @t362) (tptp.c_Orderings_Oord__class_Oless @t41 @t362 @t368)))))) % 1.12/1.33 (assume @p834 (forall @t133 (=> @t144 @t784))) % 1.12/1.33 (assume @p835 (forall (@list @t32 @t160 @t41) (=> @t302 (=> @t834 (= (tptp.c_Rings_Oinverse__class_Odivide @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t32) @t160) (tptp.c_Groups_Oabs__class_Oabs @t41 @t671)))))) % 1.12/1.33 (assume @p836 (forall @t839 (=> @t302 (= @t882 (and (=> @t307 @t881) (=> @t308 (and (=> @t304 @t880) (=> @t305 @t314)))))))) % 1.12/1.33 (assume @p837 (forall @t840 (=> @t302 (= @t883 (and (=> @t307 @t880) (=> @t308 (and (=> @t304 @t881) (=> @t305 @t319)))))))) % 1.12/1.33 (assume @p838 (forall @t718 (=> @t823 (=> @t307 (= @t882 @t881))))) % 1.12/1.33 (assume @p839 (forall @t743 (=> @t823 (=> @t307 (= @t883 @t880))))) % 1.12/1.33 (assume @p840 (forall @t860 (=> @t823 (=> @t834 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t32 @t859) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t671 @t40)))))) % 1.12/1.33 (assume @p841 (forall @t861 (=> @t823 (=> @t834 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t859 @t32) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t40 @t671)))))) % 1.12/1.33 (assume @p842 (forall @t718 (=> @t823 (=> @t304 (= @t882 @t880))))) % 1.12/1.33 (assume @p843 (forall @t743 (=> @t823 (=> @t304 (= @t883 @t881))))) % 1.12/1.33 (assume @p844 (forall @t696 (=> @t823 (=> @t695 (=> @t687 @t884))))) % 1.12/1.33 (assume @p845 (forall @t640 (=> @t302 (=> @t688 (=> @t694 @t884))))) % 1.12/1.33 (assume @p846 (forall @t275 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t362 @t825) (and @t879 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t39 @t362)))))) % 1.12/1.33 (assume @p847 (forall @t26 (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 @t4 @t3)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t4)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t3)))) % 1.12/1.33 (assume @p848 (forall @t375 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t886 @t885)))) % 1.12/1.33 (assume @p849 (forall @t275 (=> (tptp.class_Groups_Ozero @t41) (= (= @t239 @t39) @t532)))) % 1.12/1.33 (assume @p850 (forall @t640 (=> (tptp.class_Groups_Oab__semigroup__mult @t41) (= (tptp.c_Groups_Otimes__class_Otimes @t41 @t142 @t1) (tptp.c_Groups_Otimes__class_Otimes @t41 @t3 @t637))))) % 1.12/1.33 (assume @p851 (forall @t696 (=> @t890 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t4 @t3) @t889) @t888)))) % 1.12/1.33 (assume @p852 (forall @t640 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t41) @t891))) % 1.12/1.33 (assume @p853 (forall @t640 (=> @t890 @t891))) % 1.12/1.33 (assume @p854 (forall (@list @t217 @t27 @t29 @t41) (=> @t890 (= (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t29 @t27) @t893) @t892)))) % 1.12/1.33 (assume @p855 (forall @t839 (=> @t890 (= (= @t895 @t894) @t892)))) % 1.12/1.33 (assume @p856 (forall @t640 (=> (tptp.class_Groups_Oab__semigroup__add @t41) (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t639 @t1) (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t896))))) % 1.12/1.33 (assume @p857 (forall @t898 (=> @t112 (=> @t897 (= @t216 (= @t217 @t730)))))) % 1.12/1.33 (assume @p858 (forall @t275 (=> (tptp.class_Groups_Oone @t41) (= (= @t362 @t39) @t747)))) % 1.12/1.33 (assume @p859 (forall @t618 (=> @t245 (= (= @t729 @t655) @t216)))) % 1.12/1.33 (assume @p860 (forall @t618 (=> @t245 (= (= @t729 @t29) (= @t655 @t27))))) % 1.12/1.33 (assume @p861 (forall @t618 (=> @t245 (= @t656 (= @t29 @t729))))) % 1.12/1.33 (assume @p862 (forall @t133 (=> @t245 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t652) @t3)))) % 1.12/1.33 (assume @p863 (forall @t133 (=> @t887 (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t662) @t662)))) % 1.12/1.33 (assume @p864 (forall @t133 (=> @t900 @t899))) % 1.12/1.33 (assume @p865 (forall @t133 (=> @t901 @t899))) % 1.12/1.33 (assume @p866 (forall @t243 (=> @t242 (= (= @t239 @t241) @t240)))) % 1.12/1.33 (assume @p867 (forall @t133 (=> @t900 @t902))) % 1.12/1.33 (assume @p868 (forall @t133 (=> @t901 @t902))) % 1.12/1.33 (assume @p869 (forall @t746 (=> @t905 (=> @t904 @t688)))) % 1.12/1.33 (assume @p870 (forall @t774 (=> @t905 (=> @t906 @t688)))) % 1.12/1.33 (assume @p871 (forall @t700 (=> @t907 (=> @t688 (=> @t699 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t111 @t110)))))) % 1.12/1.33 (assume @p872 (forall @t640 (=> @t907 (=> @t688 @t904)))) % 1.12/1.33 (assume @p873 (forall @t640 (=> @t907 (=> @t688 @t906)))) % 1.12/1.33 (assume @p874 (forall @t718 (=> @t905 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t893 @t908) @t766)))) % 1.12/1.33 (assume @p875 (forall @t725 (=> @t905 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t894 @t909) @t766)))) % 1.12/1.33 (assume @p876 (forall @t746 (=> @t905 (=> @t910 @t706)))) % 1.12/1.33 (assume @p877 (forall @t774 (=> @t905 (=> @t911 @t706)))) % 1.12/1.33 (assume @p878 (forall @t700 (=> @t914 (=> @t706 @t913)))) % 1.12/1.33 (assume @p879 (forall @t640 (=> @t914 (=> @t706 @t910)))) % 1.12/1.33 (assume @p880 (forall @t640 (=> @t914 (=> @t706 @t911)))) % 1.12/1.33 (assume @p881 (forall @t718 (=> @t905 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t893 @t908) @t722)))) % 1.12/1.33 (assume @p882 (forall @t725 (=> @t905 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t894 @t909) @t722)))) % 1.12/1.33 (assume @p883 (forall @t618 (=> @t245 (= @t915 @t216)))) % 1.12/1.33 (assume @p884 (forall @t618 (=> @t112 (= @t216 @t915)))) % 1.12/1.33 (assume @p885 (forall @t133 (=> @t245 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t3) @t239)))) % 1.12/1.33 (assume @p886 (forall @t133 (=> @t245 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t239) @t3)))) % 1.12/1.33 (assume @p887 (forall @t898 (=> @t916 (=> @t897 (= @t766 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t217 @t730)))))) % 1.12/1.33 (assume @p888 (forall @t898 (=> @t916 (=> @t897 (= @t722 (tptp.c_Orderings_Oord__class_Oless @t41 @t217 @t730)))))) % 1.12/1.33 (assume @p889 (forall @t243 (=> @t242 (= (= @t729 @t27) @t240)))) % 1.12/1.33 (assume @p890 (forall @t243 (=> @t245 (= (= @t729 @t239) @t240)))) % 1.12/1.33 (assume @p891 (forall @t243 (=> @t242 (= (= @t27 @t729) @t240)))) % 1.12/1.33 (assume @p892 (forall @t243 (=> @t245 (= (= @t239 @t729) (= @t239 @t27))))) % 1.12/1.33 (assume @p893 (forall @t267 (=> @t245 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t239) @t239)))) % 1.12/1.33 (assume @p894 (forall @t133 (=> @t918 @t917))) % 1.12/1.33 (assume @p895 (forall @t133 (=> @t919 @t917))) % 1.12/1.33 (assume @p896 (forall @t133 (=> @t918 @t920))) % 1.12/1.33 (assume @p897 (forall @t133 (=> @t919 @t920))) % 1.12/1.33 (assume @p898 (forall @t375 (=> @t916 (=> @t688 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t649 @t652))))) % 1.12/1.33 (assume @p899 (forall @t749 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t655 @t729) @t766)))) % 1.12/1.33 (assume @p900 (forall @t618 (=> @t916 (= @t921 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t655 @t27))))) % 1.12/1.33 (assume @p901 (forall @t618 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t655) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t29 @t729))))) % 1.12/1.33 (assume @p902 (forall @t375 (=> @t245 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t639 @t4) @t3)))) % 1.12/1.33 (assume @p903 (forall @t375 (=> @t245 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t109 @t4) @t3)))) % 1.12/1.33 (assume @p904 (forall @t749 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t655 @t729) @t722)))) % 1.12/1.33 (assume @p905 (forall @t618 (=> @t916 (= @t756 (tptp.c_Orderings_Oord__class_Oless @t41 @t655 @t27))))) % 1.12/1.33 (assume @p906 (forall @t618 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t27 @t655) (tptp.c_Orderings_Oord__class_Oless @t41 @t29 @t729))))) % 1.12/1.33 (assume @p907 (forall @t375 (=> @t245 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t652 @t639) @t4)))) % 1.12/1.33 (assume @p908 (forall @t375 (=> @t245 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 (tptp.c_Groups_Oplus__class_Oplus @t41 @t652 @t4)) @t4)))) % 1.12/1.33 (assume @p909 (forall @t375 (=> @t245 (= @t922 (tptp.c_Groups_Oplus__class_Oplus @t41 @t649 @t652))))) % 1.12/1.33 (assume @p910 (forall @t375 (=> @t112 (= @t922 (tptp.c_Groups_Oplus__class_Oplus @t41 @t652 @t649))))) % 1.12/1.33 (assume @p911 (forall @t375 (=> @t112 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t109) @t668)))) % 1.12/1.33 (assume @p912 (forall @t243 (=> @t887 (= (= @t757 @t239) @t240)))) % 1.12/1.33 (assume @p913 (forall @t267 (=> @t887 (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t239) @t239)))) % 1.12/1.33 (assume @p914 (forall @t375 (=> @t887 (=> @t923 @t688)))) % 1.12/1.33 (assume @p915 (forall @t133 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t3 @t662)))) % 1.12/1.33 (assume @p916 (forall @t375 (=> @t887 (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t885) @t885)))) % 1.12/1.33 (assume @p917 (forall @t375 (=> @t887 (= @t886 @t924)))) % 1.12/1.33 (assume @p918 (forall @t133 (=> @t887 (= (tptp.c_Groups_Oabs__class_Oabs @t41 @t652) @t662)))) % 1.12/1.33 (assume @p919 (forall @t164 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t32 @t160) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t32 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t160))))) % 1.12/1.33 (assume @p920 (forall @t375 (=> @t925 (=> @t684 (=> @t682 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t639 @t239)))))) % 1.12/1.33 (assume @p921 (forall @t745 (=> @t925 (=> @t687 (=> @t695 @t926))))) % 1.12/1.33 (assume @p922 (forall @t640 (=> @t925 (=> @t679 (=> @t927 @t926))))) % 1.12/1.33 (assume @p923 (forall @t67 (=> @t925 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t39) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t38) (= @t244 @t533)))))) % 1.12/1.33 (assume @p924 (forall @t375 (=> @t925 (=> @t679 (=> @t678 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t639)))))) % 1.12/1.33 (assume @p925 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t241 @t239) @t314)))) % 1.12/1.33 (assume @p926 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t241) @t319)))) % 1.12/1.33 (assume @p927 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t241) @t310)))) % 1.12/1.33 (assume @p928 (forall @t243 (=> @t242 @t266))) % 1.12/1.33 (assume @p929 (forall @t375 (=> @t925 (=> @t719 @t929)))) % 1.12/1.33 (assume @p930 (forall @t375 (=> @t925 (=> @t711 @t931)))) % 1.12/1.33 (assume @p931 (forall @t700 (=> @t914 (=> @t688 @t913)))) % 1.12/1.33 (assume @p932 (forall @t700 (=> @t914 (=> @t706 (=> @t699 @t912))))) % 1.12/1.33 (assume @p933 (forall @t618 (=> @t916 (= @t766 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t737 @t239))))) % 1.12/1.33 (assume @p934 (forall @t618 (=> @t916 (= @t722 (tptp.c_Orderings_Oord__class_Oless @t41 @t737 @t239))))) % 1.12/1.33 (assume @p935 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t729 @t27) @t319)))) % 1.12/1.33 (assume @p936 (forall @t243 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t729 @t239) @t319)))) % 1.12/1.33 (assume @p937 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t27 @t729) @t314)))) % 1.12/1.33 (assume @p938 (forall @t243 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t729) @t314)))) % 1.12/1.33 (assume @p939 (forall @t243 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t729) @t265)))) % 1.12/1.33 (assume @p940 (forall @t243 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t729 @t239) @t310)))) % 1.12/1.33 (assume @p941 (forall @t243 (=> @t242 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t729 @t27) @t310)))) % 1.12/1.33 (assume @p942 (forall @t375 (=> @t245 (=> (= @t639 @t239) (= @t652 @t4))))) % 1.12/1.33 (assume @p943 (forall @t133 (=> @t112 @t932))) % 1.12/1.33 (assume @p944 (forall @t133 (=> @t245 @t932))) % 1.12/1.33 (assume @p945 (forall @t618 (=> @t245 (= @t656 (= @t895 @t239))))) % 1.12/1.33 (assume @p946 (forall @t133 (=> @t245 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t652) @t239)))) % 1.12/1.33 (assume @p947 (forall @t133 (=> @t245 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t239 @t3) @t652)))) % 1.12/1.33 (assume @p948 (forall @t133 (=> @t887 (=> @t679 @t933)))) % 1.12/1.33 (assume @p949 (forall @t243 (=> @t887 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t757 @t239) @t240)))) % 1.12/1.33 (assume @p950 (forall @t133 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t239 @t662)))) % 1.12/1.33 (assume @p951 (forall @t133 (=> @t887 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t662 @t239))))) % 1.12/1.33 (assume @p952 (forall @t243 (=> @t887 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t239 @t757) (not @t240))))) % 1.12/1.33 (assume @p953 (forall @t133 (=> @t887 (=> @t719 @t933)))) % 1.12/1.33 (assume @p954 (forall @t375 (=> @t245 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 @t649) @t639)))) % 1.12/1.33 (assume @p955 (forall @t375 (=> @t112 @t934))) % 1.12/1.33 (assume @p956 (forall @t375 (=> @t245 @t934))) % 1.12/1.33 (assume @p957 (forall @t375 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t639) @t885)))) % 1.12/1.33 (assume @p958 (forall @t375 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t935 @t924)))) % 1.12/1.33 (assume @p959 (forall @t375 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t935 @t886)))) % 1.12/1.33 (assume @p960 (forall @t375 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t935) @t886)))) % 1.12/1.33 (assume @p961 (forall @t375 (=> @t887 (=> @t923 @t936)))) % 1.12/1.33 (assume @p962 (forall @t375 (=> @t887 (=> @t688 (=> @t936 @t923))))) % 1.12/1.33 (assume @p963 (forall @t618 (=> @t887 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t757 @t29) (and @t766 @t921))))) % 1.12/1.33 (assume @p964 (forall @t133 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t652 @t662)))) % 1.12/1.33 (assume @p965 (forall @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t937) @t937))) % 1.12/1.33 (assume @p966 (forall @t375 (=> @t925 (=> @t684 @t931)))) % 1.12/1.33 (assume @p967 (forall @t375 (=> @t925 (=> @t711 (=> @t682 @t930))))) % 1.12/1.33 (assume @p968 (forall @t640 (=> @t925 (=> @t679 @t727)))) % 1.12/1.33 (assume @p969 (forall @t640 (=> @t925 (=> @t719 (=> @t927 @t726))))) % 1.12/1.33 (assume @p970 (forall @t375 (=> @t925 (=> @t679 @t929)))) % 1.12/1.33 (assume @p971 (forall @t375 (=> @t925 (=> @t719 (=> @t678 @t928))))) % 1.12/1.33 (assume @p972 (forall @t133 (=> @t887 (=> @t684 @t938)))) % 1.12/1.33 (assume @p973 (forall @t133 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t662) @t239)))) % 1.12/1.33 (assume @p974 (forall @t133 (=> @t887 @t939))) % 1.12/1.33 (assume @p975 (forall @t133 (=> (tptp.class_Groups_Oabs__if @t41) (and @t939 (=> (not @t711) @t933))))) % 1.12/1.33 (assume @p976 (forall @t700 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t790) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Oabs__class_Oabs @t41 @t139) (tptp.c_Groups_Oabs__class_Oabs @t41 @t140)))))) % 1.12/1.33 (assume @p977 (not (forall (@list @t940) (not (forall @t20 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t940 @t18) @t166)))))) % 1.12/1.33 (assume @p978 (forall @t133 (=> @t144 @t761))) % 1.12/1.33 (assume @p979 (forall @t375 (=> @t941 (= @t142 @t683)))) % 1.12/1.33 (assume @p980 (forall @t947 (=> @t941 (= @t946 (tptp.c_Groups_Otimes__class_Otimes @t41 @t944 (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 @t942)))))) % 1.12/1.33 (assume @p981 (forall @t947 (=> @t941 (= @t946 (tptp.c_Groups_Otimes__class_Otimes @t41 @t948 @t942))))) % 1.12/1.33 (assume @p982 (forall @t952 (=> @t941 (= @t951 (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 (tptp.c_Groups_Otimes__class_Otimes @t41 @t949 @t944)))))) % 1.12/1.33 (assume @p983 (forall @t952 (=> @t941 (= @t951 (tptp.c_Groups_Otimes__class_Otimes @t41 @t948 @t949))))) % 1.12/1.33 (assume @p984 (forall @t954 (=> @t941 (= @t953 (tptp.c_Groups_Otimes__class_Otimes @t41 @t943 (tptp.c_Groups_Otimes__class_Otimes @t41 @t949 @t945)))))) % 1.12/1.33 (assume @p985 (forall @t954 (=> @t941 (= @t953 (tptp.c_Groups_Otimes__class_Otimes @t41 @t944 (tptp.c_Groups_Otimes__class_Otimes @t41 @t950 @t942)))))) % 1.12/1.33 (assume @p986 (forall @t954 (=> @t941 (= @t953 (tptp.c_Groups_Otimes__class_Otimes @t41 @t948 (tptp.c_Groups_Otimes__class_Otimes @t41 @t949 @t942)))))) % 1.12/1.33 (assume @p987 (forall (@list @t1 @t3 @t41) (=> @t941 (= @t111 @t889)))) % 1.12/1.33 (assume @p988 (forall @t956 (=> @t941 (= @t955 (tptp.c_Groups_Oplus__class_Oplus @t41 @t1 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t108)))))) % 1.12/1.33 (assume @p989 (forall @t956 (=> @t941 (= @t955 (tptp.c_Groups_Oplus__class_Oplus @t41 @t111 @t108))))) % 1.12/1.33 (assume @p990 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p991 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p992 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p993 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p994 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p996 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p997 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p998 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p999 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1000 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1001 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1002 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1003 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1004 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1006 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1007 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1008 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1009 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1010 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1011 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1012 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1013 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1014 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1015 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1017 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1018 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1020 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1021 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1022 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1023 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1024 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1025 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1026 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1027 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1028 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1029 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1030 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1031 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1032 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1033 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1034 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1035 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1036 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1037 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1038 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.33 (assume @p1039 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1040 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1041 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1042 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1043 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1044 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1045 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1046 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1047 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1048 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1049 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1050 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1051 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1052 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1053 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1054 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1055 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1056 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1057 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1059 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1060 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1061 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1062 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1063 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1064 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1065 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1066 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1067 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.33 (assume @p1068 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1069 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1070 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1071 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1072 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1073 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1074 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1075 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1076 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1077 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1078 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1079 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1080 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1081 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1082 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1083 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1084 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1085 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1086 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1087 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1088 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1089 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1090 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1091 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1092 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1093 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1094 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1095 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1096 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1097 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1098 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1099 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1100 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1101 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1102 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1103 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1104 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1105 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1106 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1107 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1108 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1109 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1110 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1111 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1112 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1113 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1114 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1115 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1116 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1117 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1118 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1119 @t957) % 1.12/1.33 (assume @p1120 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1121 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1122 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1123 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1124 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1125 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1126 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1127 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1128 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.12/1.33 (assume @p1129 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1130 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1131 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1132 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1133 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1134 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1135 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1136 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1137 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1138 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1139 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1140 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1141 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1142 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1143 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1144 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1145 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1146 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1147 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1148 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1149 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1150 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1151 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1152 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1153 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1154 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1155 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1156 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1157 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1158 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1159 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1160 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1161 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1162 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1163 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1164 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.33 (assume @p1165 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t958 @t13))) % 1.12/1.33 (assume @p1166 true) % 1.12/1.33 (step @p1167 :rule evaluate :args ((= true false))) % 1.12/1.33 (step @p1168 :rule false_intro :premises (@p1165)) % 1.12/1.33 (step @p1169 :rule refl :args (@t13)) % 1.12/1.33 (step @p1170 :rule bool-impl-elim :args (@t44 @t959)) % 1.12/1.33 (step @p1171 :rule cong :premises (@p1170) :args ((forall @t45 (=> @t44 @t959)))) % 1.12/1.33 (step @p1172 :rule eq-symm :args (@t46 @t42)) % 1.12/1.33 (step @p1173 :rule refl :args (@t44)) % 1.12/1.33 (step @p1174 :rule cong :premises (@p1173 @p1172) :args (@t47)) % 1.12/1.33 (step @p1175 :rule cong :premises (@p1174) :args (@t48)) % 1.12/1.33 (step @p1176 :rule trans :premises (@p1175 @p1171)) % 1.12/1.33 (step @p1177 :rule eq_resolve :premises (@p16 @p1176)) % 1.12/1.33 (step @p1178 :rule eq-symm :args (@t960 @t958)) % 1.12/1.33 (step @p1179 :rule refl :args (@t961)) % 1.12/1.33 (step @p1180 :rule nary_cong :premises (@p1179 @p1178) :args (@t962)) % 1.12/1.33 (step @p1181 :rule refl :args (@t963)) % 1.12/1.33 (step @p1182 :rule cong :premises (@p1181 @p1180) :args ((=> @t963 @t962))) % 1.12/1.33 (assume-push @p1205 @t963) % 1.12/1.33 (step @p1184 :rule instantiate :premises (@p1177) :args ((@list @t24 tptp.tc_RealDef_Oreal))) % 1.12/1.33 (step-pop @p1206 :rule scope :premises (@p1184)) % 1.12/1.33 (step @p1185 :rule process_scope :premises (@p1206) :args (@t962)) % 1.12/1.33 (step @p1187 :rule eq_resolve :premises (@p1185 @p1182)) % 1.12/1.33 (step @p1188 :rule implies_elim :premises (@p1187)) % 1.12/1.33 (step @p1189 :rule chain_m_resolution :premises (@p1188 @p1177) :args (@t965 (@list false) (@list @t963))) % 1.12/1.33 (step @p1190 :rule cnf_or_pos :args (@t965)) % 1.12/1.33 (step @p1191 :rule reordering :premises (@p1190) :args ((or @t961 @t964 (not @t965)))) % 1.12/1.33 (step @p1192 :rule chain_m_resolution :premises (@p1191 @p1119 @p1189) :args (@t964 (@list false false) (@list @t957 @t965))) % 1.12/1.33 (step @p1193 :rule symm :premises (@p1192)) % 1.12/1.33 (step @p1194 :rule eq-symm :args (@t34 @t32)) % 1.12/1.33 (step @p1195 :rule cong :premises (@p1194) :args (@t36)) % 1.12/1.33 (step @p1196 :rule eq_resolve :premises (@p13 @p1195)) % 1.12/1.33 (step @p1197 :rule instantiate :premises (@p1196) :args ((@list @t15))) % 1.12/1.33 (step @p1198 :rule trans :premises (@p1197 @p1193)) % 1.12/1.33 (step @p1199 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.12/1.33 (step @p1200 :rule cong :premises (@p1199 @p1198 @p1169) :args (@t16)) % 1.12/1.33 (step @p1201 :rule true_intro :premises (@p3)) % 1.12/1.33 (step @p1202 :rule symm :premises (@p1201)) % 1.12/1.33 (step @p1203 :rule trans :premises (@p1202 @p1200 @p1168)) % 1.12/1.33 (step @p1204 false :rule eq_resolve :premises (@p1203 @p1167)) % 1.12/1.33 ) % 1.12/1.33 % SZS output end Proof % 1.12/1.33 % cvc5 exiting %------------------------------------------------------------------------------