%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW227+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 1.13s 1.34s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW227+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 21:41:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.45/0.71 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.34 % SZS status Theorem % 1.13/1.34 % SZS output start Proof % 1.13/1.34 ( % 1.13/1.34 (declare-sort $$unsorted 0) % 1.13/1.34 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_Int_OPls $$unsorted) % 1.13/1.34 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.v_d____ $$unsorted) % 1.13/1.34 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.v_N2____ $$unsorted) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.v_N1____ $$unsorted) % 1.13/1.34 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.13/1.34 (declare-const tptp.v_g____ (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.v_p $$unsorted) % 1.13/1.34 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.v_z____ $$unsorted) % 1.13/1.34 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.13/1.34 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.13/1.34 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.v_w____ $$unsorted) % 1.13/1.34 (declare-const tptp.v_f____ $$unsorted) % 1.13/1.34 (declare-const tptp.v_r $$unsorted) % 1.13/1.34 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.13/1.34 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.34 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.v_s____ $$unsorted) % 1.13/1.34 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.13/1.34 (define @t1 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_N1____ tptp.v_N2____)) % 1.13/1.34 (define @t2 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t1))) % 1.13/1.34 (define @t3 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal tptp.v_s____)) % 1.13/1.34 (define @t4 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p tptp.v_z____)) % 1.13/1.34 (define @t5 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t4) @t3))) % 1.13/1.34 (define @t6 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 1.13/1.34 (define @t7 () (tptp.c_Int_OBit0 @t6)) % 1.13/1.34 (define @t8 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t7)) % 1.13/1.34 (define @t9 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t8 @t5)) % 1.13/1.34 (define @t10 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t2)) % 1.13/1.34 (define @t11 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t5 @t8)) % 1.13/1.34 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t13 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t5)) % 1.13/1.34 (define @t14 () (@var "B_n" $$unsorted)) % 1.13/1.34 (define @t15 () (@list @t14)) % 1.13/1.34 (define @t16 () (@var "B_N2" $$unsorted)) % 1.13/1.34 (define @t17 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t9)) % 1.13/1.34 (define @t18 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t2)) % 1.13/1.34 (define @t19 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t18 @t17)) % 1.13/1.34 (define @t20 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t9)) % 1.13/1.34 (define @t21 () (=> @t20 @t19)) % 1.13/1.34 (define @t22 () (@var "T_a" $$unsorted)) % 1.13/1.34 (define @t23 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t7)) % 1.13/1.34 (define @t24 () (tptp.c_Groups_Oone__class_Oone @t22)) % 1.13/1.34 (define @t25 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t24 @t24)) % 1.13/1.34 (define @t26 () (tptp.class_Int_Onumber__ring @t22)) % 1.13/1.34 (define @t27 () (@list @t22)) % 1.13/1.34 (define @t28 () (@var "V_w" $$unsorted)) % 1.13/1.34 (define @t29 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t28)) % 1.13/1.34 (define @t30 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t24 @t29)) % 1.13/1.34 (define @t31 () (@list @t28 @t22)) % 1.13/1.34 (define @t32 () (@var "V_v" $$unsorted)) % 1.13/1.34 (define @t33 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t32)) % 1.13/1.34 (define @t34 () (@list @t32 @t22)) % 1.13/1.34 (define @t35 () (@var "V_y_2" $$unsorted)) % 1.13/1.34 (define @t36 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t35)) % 1.13/1.34 (define @t37 () (tptp.class_Rings_Olinordered__idom @t22)) % 1.13/1.34 (define @t38 () (and @t26 @t37)) % 1.13/1.34 (define @t39 () (@list @t35 @t22)) % 1.13/1.34 (define @t40 () (@var "V_x_2" $$unsorted)) % 1.13/1.34 (define @t41 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t40)) % 1.13/1.34 (define @t42 () (@list @t40 @t22)) % 1.13/1.34 (define @t43 () (tptp.c_Nat_OSuc @t14)) % 1.13/1.34 (define @t44 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t45 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t3 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t43)))) % 1.13/1.34 (define @t46 () (tptp.v_g____ @t14)) % 1.13/1.34 (define @t47 () (@var "V_wa_2" $$unsorted)) % 1.13/1.34 (define @t48 () (@list @t47)) % 1.13/1.34 (define @t49 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t22)) % 1.13/1.34 (define @t50 () (@var "B_w" $$unsorted)) % 1.13/1.34 (define @t51 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t50)) % 1.13/1.34 (define @t52 () (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 @t51 @t4)) @t11)) % 1.13/1.34 (define @t53 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t50 tptp.v_z____))) % 1.13/1.34 (define @t54 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t53)) % 1.13/1.34 (define @t55 () (@list @t50)) % 1.13/1.34 (define @t56 () (tptp.c_Groups_Ozero__class_Ozero @t22)) % 1.13/1.34 (define @t57 () (tptp.class_RealVector_Oreal__normed__vector @t22)) % 1.13/1.34 (define @t58 () (@var "V_k" $$unsorted)) % 1.13/1.34 (define @t59 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.13/1.34 (define @t60 () (tptp.c_Int_OBit1 @t58)) % 1.13/1.34 (define @t61 () (@list @t58)) % 1.13/1.34 (define @t62 () (@var "V_a" $$unsorted)) % 1.13/1.34 (define @t63 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t62)) % 1.13/1.34 (define @t64 () (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t62)) % 1.13/1.34 (define @t65 () (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t64) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t63))) % 1.13/1.34 (define @t66 () (tptp.class_Rings_Odivision__ring__inverse__zero @t22)) % 1.13/1.34 (define @t67 () (tptp.class_RealVector_Oreal__normed__div__algebra @t22)) % 1.13/1.34 (define @t68 () (@list @t62 @t22)) % 1.13/1.34 (define @t69 () (@var "V_z" $$unsorted)) % 1.13/1.34 (define @t70 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t69)) % 1.13/1.34 (define @t71 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 @t28)) % 1.13/1.34 (define @t72 () (@list @t28 @t69)) % 1.13/1.34 (define @t73 () (@var "V_x" $$unsorted)) % 1.13/1.34 (define @t74 () (@var "V_y" $$unsorted)) % 1.13/1.34 (define @t75 () (= @t73 @t74)) % 1.13/1.34 (define @t76 () (@list @t74 @t73)) % 1.13/1.34 (define @t77 () (@var "V_za_2" $$unsorted)) % 1.13/1.34 (define @t78 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 @t77)) % 1.13/1.34 (define @t79 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t77 @t59))) % 1.13/1.34 (define @t80 () (@list @t77 @t47)) % 1.13/1.34 (define @t81 () (@list @t69 @t74 @t73)) % 1.13/1.34 (define @t82 () (= @t40 @t56)) % 1.13/1.34 (define @t83 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t40)) % 1.13/1.34 (define @t84 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t28)) % 1.13/1.34 (define @t85 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t28)) % 1.13/1.34 (define @t86 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t32)) % 1.13/1.34 (define @t87 () (@list @t28 @t32)) % 1.13/1.34 (define @t88 () (@var "V_l_2" $$unsorted)) % 1.13/1.34 (define @t89 () (@var "V_k_2" $$unsorted)) % 1.13/1.34 (define @t90 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t89 @t88)) % 1.13/1.34 (define @t91 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t88)) % 1.13/1.34 (define @t92 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t89)) % 1.13/1.34 (define @t93 () (@list @t88 @t89)) % 1.13/1.34 (define @t94 () (@var "V_z3" $$unsorted)) % 1.13/1.34 (define @t95 () (@var "V_z2" $$unsorted)) % 1.13/1.34 (define @t96 () (@var "V_z1" $$unsorted)) % 1.13/1.34 (define @t97 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t96 @t95)) % 1.13/1.34 (define @t98 () (@list @t94 @t95 @t96)) % 1.13/1.34 (define @t99 () (= @t62 @t56)) % 1.13/1.34 (define @t100 () (not @t99)) % 1.13/1.34 (define @t101 () (@var "V_j" $$unsorted)) % 1.13/1.34 (define @t102 () (@var "V_i" $$unsorted)) % 1.13/1.34 (define @t103 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t101)) % 1.13/1.34 (define @t104 () (@list @t58 @t101 @t102)) % 1.13/1.34 (define @t105 () (@var "V_l" $$unsorted)) % 1.13/1.34 (define @t106 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t105)) % 1.13/1.34 (define @t107 () (tptp.c_Int_OBit0 @t105)) % 1.13/1.34 (define @t108 () (tptp.c_Int_OBit0 @t58)) % 1.13/1.34 (define @t109 () (@list @t105 @t58)) % 1.13/1.34 (define @t110 () (@var "V_k2_2" $$unsorted)) % 1.13/1.34 (define @t111 () (@var "V_k1_2" $$unsorted)) % 1.13/1.34 (define @t112 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t111 @t110)) % 1.13/1.34 (define @t113 () (tptp.c_Int_OBit1 @t110)) % 1.13/1.34 (define @t114 () (tptp.c_Int_OBit1 @t111)) % 1.13/1.34 (define @t115 () (@list @t110 @t111)) % 1.13/1.34 (define @t116 () (tptp.c_Int_OBit1 @t88)) % 1.13/1.34 (define @t117 () (tptp.c_Int_OBit1 @t89)) % 1.13/1.34 (define @t118 () (tptp.c_Int_OBit0 @t110)) % 1.13/1.34 (define @t119 () (tptp.c_Int_OBit0 @t111)) % 1.13/1.34 (define @t120 () (tptp.c_Int_OBit0 @t88)) % 1.13/1.34 (define @t121 () (tptp.c_Int_OBit0 @t89)) % 1.13/1.34 (define @t122 () (@var "V_a_2" $$unsorted)) % 1.13/1.34 (define @t123 () (= @t122 @t56)) % 1.13/1.34 (define @t124 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t122 @t122)) % 1.13/1.34 (define @t125 () (tptp.class_Groups_Olinordered__ab__group__add @t22)) % 1.13/1.34 (define @t126 () (@list @t122 @t22)) % 1.13/1.34 (define @t127 () (@var "V_r" $$unsorted)) % 1.13/1.34 (define @t128 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t127)) % 1.13/1.34 (define @t129 () (@list @t127)) % 1.13/1.34 (define @t130 () (tptp.class_RealVector_Oreal__normed__field @t22)) % 1.13/1.34 (define @t131 () (@list @t74 @t22)) % 1.13/1.34 (define @t132 () (not @t82)) % 1.13/1.34 (define @t133 () (tptp.c_Int_OBit1 @t106)) % 1.13/1.34 (define @t134 () (tptp.c_Int_OBit1 @t105)) % 1.13/1.34 (define @t135 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t89 tptp.c_Int_OPls)) % 1.13/1.34 (define @t136 () (@list @t89)) % 1.13/1.34 (define @t137 () (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t56)) % 1.13/1.34 (define @t138 () (= (tptp.c_Orderings_Oord__class_Oless @t22 @t124 @t56) @t137)) % 1.13/1.34 (define @t139 () (tptp.c_Int_Onumber__class_Onumber__of @t22 tptp.c_Int_OPls)) % 1.13/1.34 (define @t140 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t73)) % 1.13/1.34 (define @t141 () (@list @t73 @t22)) % 1.13/1.34 (define @t142 () (@var "T_b" $$unsorted)) % 1.13/1.34 (define @t143 () (tptp.c_Int_Onumber__class_Onumber__of @t142 @t28)) % 1.13/1.34 (define @t144 () (tptp.class_Int_Onumber @t142)) % 1.13/1.34 (define @t145 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t6)) % 1.13/1.34 (define @t146 () (tptp.class_Fields_Ofield @t22)) % 1.13/1.34 (define @t147 () (and @t146 @t26)) % 1.13/1.34 (define @t148 () (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t36) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t35))) % 1.13/1.34 (define @t149 () (forall @t39 (=> @t38 @t148))) % 1.13/1.34 (define @t150 () (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Int_OBit0 @t28))) % 1.13/1.34 (define @t151 () (tptp.class_Fields_Ofield__inverse__zero @t22)) % 1.13/1.34 (define @t152 () (@var "V_b" $$unsorted)) % 1.13/1.34 (define @t153 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t152)) % 1.13/1.34 (define @t154 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t152)) % 1.13/1.34 (define @t155 () (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t154) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t63 @t153))) % 1.13/1.34 (define @t156 () (= @t152 @t56)) % 1.13/1.34 (define @t157 () (not @t156)) % 1.13/1.34 (define @t158 () (@list @t62 @t152 @t22)) % 1.13/1.34 (define @t159 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t73)) % 1.13/1.34 (define @t160 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t159)) % 1.13/1.34 (define @t161 () (tptp.c_Orderings_Oord__class_Oless @t22 @t159 @t56)) % 1.13/1.34 (define @t162 () (= @t40 @t35)) % 1.13/1.34 (define @t163 () (@list @t35 @t40 @t22)) % 1.13/1.34 (define @t164 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t47)) % 1.13/1.34 (define @t165 () (tptp.class_Int_Onumber @t22)) % 1.13/1.34 (define @t166 () (= @t89 @t88)) % 1.13/1.34 (define @t167 () (tptp.class_Fields_Olinordered__field__inverse__zero @t22)) % 1.13/1.34 (define @t168 () (and @t167 @t26)) % 1.13/1.34 (define @t169 () (@var "V_ra_2" $$unsorted)) % 1.13/1.34 (define @t170 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t84)) % 1.13/1.34 (define @t171 () (@list @t69 @t28 @t32 @t22)) % 1.13/1.34 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t33 @t29)) % 1.13/1.34 (define @t173 () (@list @t28 @t32 @t22)) % 1.13/1.34 (define @t174 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t33 @t29)) % 1.13/1.34 (define @t175 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t29)) % 1.13/1.34 (define @t176 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t28)) % 1.13/1.34 (define @t177 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t176)) % 1.13/1.34 (define @t178 () (@var "V_ya" $$unsorted)) % 1.13/1.34 (define @t179 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t74 @t178)) % 1.13/1.34 (define @t180 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t73 @t178)) % 1.13/1.34 (define @t181 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t73 @t74)) % 1.13/1.34 (define @t182 () (@list @t178 @t74 @t73 @t22)) % 1.13/1.34 (define @t183 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t73 @t74)) % 1.13/1.34 (define @t184 () (@list @t105)) % 1.13/1.34 (define @t185 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t152 @t62)) % 1.13/1.34 (define @t186 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t152)) % 1.13/1.34 (define @t187 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t186)) % 1.13/1.34 (define @t188 () (@list @t152 @t62 @t22)) % 1.13/1.34 (define @t189 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t73 @t74)) % 1.13/1.34 (define @t190 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t73)) % 1.13/1.34 (define @t191 () (@list @t74 @t73 @t22)) % 1.13/1.34 (define @t192 () (@var "V_c" $$unsorted)) % 1.13/1.34 (define @t193 () (@var "V_s" $$unsorted)) % 1.13/1.34 (define @t194 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t181)) % 1.13/1.34 (define @t195 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t74)) % 1.13/1.34 (define @t196 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t195 @t193)) % 1.13/1.34 (define @t197 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t140 @t127)) % 1.13/1.34 (define @t198 () (@list @t193 @t74 @t127 @t73 @t22)) % 1.13/1.34 (define @t199 () (@var "B_d" $$unsorted)) % 1.13/1.34 (define @t200 () (forall @t55 (=> (and @t54 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t199)) @t52))) % 1.13/1.34 (define @t201 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t199)) % 1.13/1.34 (define @t202 () (@list @t199)) % 1.13/1.34 (define @t203 () (tptp.hAPP tptp.v_f____ @t1)) % 1.13/1.34 (define @t204 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p (tptp.v_g____ @t203))) % 1.13/1.34 (define @t205 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 @t2)) % 1.13/1.34 (define @t206 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t3 @t205)) % 1.13/1.34 (define @t207 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t204)) % 1.13/1.34 (define @t208 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t203)))) % 1.13/1.34 (define @t209 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t3 @t208)) % 1.13/1.34 (define @t210 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t152 @t62) @t8)) % 1.13/1.34 (define @t211 () (@list @t62 @t152)) % 1.13/1.34 (define @t212 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t73 @t74)) % 1.13/1.34 (define @t213 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t212 @t8)) % 1.13/1.34 (define @t214 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t73 @t74)) % 1.13/1.34 (define @t215 () (@var "V_n_1" $$unsorted)) % 1.13/1.34 (define @t216 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t73 @t8)) % 1.13/1.34 (define @t217 () (@list @t73)) % 1.13/1.34 (define @t218 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t73)) % 1.13/1.34 (define @t219 () (@var "V_e" $$unsorted)) % 1.13/1.34 (define @t220 () (@var "V_m" $$unsorted)) % 1.13/1.34 (define @t221 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 tptp.v_r)) % 1.13/1.34 (define @t222 () (@var "V_n" $$unsorted)) % 1.13/1.34 (define @t223 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t222)) % 1.13/1.34 (define @t224 () (@list @t222)) % 1.13/1.34 (define @t225 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.v_g____ (tptp.hAPP tptp.v_f____ @t14)) tptp.v_z____))) % 1.13/1.34 (define @t226 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t225 tptp.v_d____)) % 1.13/1.34 (define @t227 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.13/1.34 (define @t228 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t102)) % 1.13/1.34 (define @t229 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t227)) % 1.13/1.34 (define @t230 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t69)) % 1.13/1.34 (define @t231 () (@list @t69)) % 1.13/1.34 (define @t232 () (@list @t28)) % 1.13/1.34 (define @t233 () (= @t69 @t28)) % 1.13/1.34 (define @t234 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28 @t69)) % 1.13/1.34 (define @t235 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t69 @t28)) % 1.13/1.34 (define @t236 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t176)) % 1.13/1.34 (define @t237 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t69 @t28)) % 1.13/1.34 (define @t238 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 @t176)) % 1.13/1.34 (define @t239 () (@list @t77)) % 1.13/1.34 (define @t240 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t35)) % 1.13/1.34 (define @t241 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t35)) % 1.13/1.34 (define @t242 () (@list @t35 @t40)) % 1.13/1.34 (define @t243 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t244 () (@var "V_n_2" $$unsorted)) % 1.13/1.34 (define @t245 () (= @t244 @t243)) % 1.13/1.34 (define @t246 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t244)) % 1.13/1.34 (define @t247 () (@list @t244)) % 1.13/1.34 (define @t248 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t58 @t105)) % 1.13/1.34 (define @t249 () (tptp.c_Int_OBit0 @t248)) % 1.13/1.34 (define @t250 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.13/1.34 (define @t251 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t59 @t69)) % 1.13/1.34 (define @t252 () (@var "V_v_2" $$unsorted)) % 1.13/1.34 (define @t253 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t252)) % 1.13/1.34 (define @t254 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t40)) % 1.13/1.34 (define @t255 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 @t35)) % 1.13/1.34 (define @t256 () (@var "V_m_2" $$unsorted)) % 1.13/1.34 (define @t257 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t256)) % 1.13/1.34 (define @t258 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t244 @t256)) % 1.13/1.34 (define @t259 () (@list @t256 @t244)) % 1.13/1.34 (define @t260 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t244)) % 1.13/1.34 (define @t261 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t220)) % 1.13/1.34 (define @t262 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t105)) % 1.13/1.34 (define @t263 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t69)) % 1.13/1.34 (define @t264 () (@list @t69 @t28)) % 1.13/1.34 (define @t265 () (tptp.c_Nat_OSuc @t243)) % 1.13/1.34 (define @t266 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 @t227)) % 1.13/1.34 (define @t267 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t236)) % 1.13/1.34 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t152)) % 1.13/1.34 (define @t269 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t63 @t153)) % 1.13/1.34 (define @t270 () (= @t244 @t256)) % 1.13/1.34 (define @t271 () (@var "V_d" $$unsorted)) % 1.13/1.34 (define @t272 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t152 @t271)) % 1.13/1.34 (define @t273 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t192)) % 1.13/1.34 (define @t274 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t192 @t271)) % 1.13/1.34 (define @t275 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t268 @t274)) % 1.13/1.34 (define @t276 () (@list @t271 @t192 @t152 @t62 @t22)) % 1.13/1.34 (define @t277 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t152 @t271)) % 1.13/1.34 (define @t278 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t192)) % 1.13/1.34 (define @t279 () (tptp.class_Groups_Oab__group__add @t22)) % 1.13/1.34 (define @t280 () (@list @t271 @t152 @t192 @t62 @t22)) % 1.13/1.34 (define @t281 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t282 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t73)) % 1.13/1.34 (define @t283 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t40 @t35) @t56)) % 1.13/1.34 (define @t284 () (tptp.class_Groups_Ogroup__add @t22)) % 1.13/1.34 (define @t285 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t220)) % 1.13/1.34 (define @t286 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t222)) % 1.13/1.34 (define @t287 () (@list @t222 @t220)) % 1.13/1.34 (define @t288 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t73 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t74))) % 1.13/1.34 (define @t289 () (tptp.c_Nat_OSuc @t222)) % 1.13/1.34 (define @t290 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t289)) % 1.13/1.34 (define @t291 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t62)) % 1.13/1.34 (define @t292 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t62 @t12)) % 1.13/1.34 (define @t293 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t127 @t12)) % 1.13/1.34 (define @t294 () (@var "V_b_2" $$unsorted)) % 1.13/1.34 (define @t295 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t294 @t256))) % 1.13/1.34 (define @t296 () (@var "V_e2_2" $$unsorted)) % 1.13/1.34 (define @t297 () (@var "B_N" $$unsorted)) % 1.13/1.34 (define @t298 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t297))) % 1.13/1.34 (define @t299 () (@var "V_X_2" $$unsorted)) % 1.13/1.34 (define @t300 () (tptp.c_RealVector_Onorm__class_Onorm @t142 (tptp.hAPP @t299 @t14))) % 1.13/1.34 (define @t301 () (@list @t297)) % 1.13/1.34 (define @t302 () (@var "B_K" $$unsorted)) % 1.13/1.34 (define @t303 () (exists (@list @t302) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t302) (forall @t15 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t300 @t302))))) % 1.13/1.34 (define @t304 () (tptp.class_RealVector_Oreal__normed__vector @t142)) % 1.13/1.34 (define @t305 () (@list @t299 @t142)) % 1.13/1.34 (define @t306 () (@var "V_z_2" $$unsorted)) % 1.13/1.34 (define @t307 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (define @t308 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t307))) % 1.13/1.34 (define @t309 () (@var "B_y" $$unsorted)) % 1.13/1.34 (define @t310 () (@var "B_x" $$unsorted)) % 1.13/1.34 (define @t311 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t310)) % 1.13/1.34 (define @t312 () (@var "B_z" $$unsorted)) % 1.13/1.34 (define @t313 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t312))) % 1.13/1.34 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t312) tptp.v_r)) % 1.13/1.34 (define @t315 () (@list @t312)) % 1.13/1.34 (define @t316 () (@list @t310)) % 1.13/1.34 (define @t317 () (@var "B_e" $$unsorted)) % 1.13/1.34 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t297 @t14)) % 1.13/1.34 (define @t319 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t28 @t69)) % 1.13/1.34 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t69 @t28)) % 1.13/1.34 (define @t321 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t102 @t101)) % 1.13/1.34 (define @t322 () (@var "V_fa_2" $$unsorted)) % 1.13/1.34 (define @t323 () (tptp.c_SEQ_Osubseq @t322)) % 1.13/1.34 (define @t324 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t32 @t28)) % 1.13/1.34 (define @t325 () (tptp.c_Int_Onumber__class_Onumber__of @t22 @t324)) % 1.13/1.34 (define @t326 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t33 @t29)) % 1.13/1.34 (define @t327 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t140 @t195)) % 1.13/1.34 (define @t328 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t74)) % 1.13/1.34 (define @t329 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t328)) % 1.13/1.34 (define @t330 () (tptp.hAPP @t322 @t14)) % 1.13/1.34 (define @t331 () (@var "B_m" $$unsorted)) % 1.13/1.34 (define @t332 () (@list @t322)) % 1.13/1.34 (define @t333 () (tptp.class_RealVector_Oreal__normed__algebra @t22)) % 1.13/1.34 (define @t334 () (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t56) @t56)) % 1.13/1.34 (define @t335 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t74 @t178)) % 1.13/1.34 (define @t336 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t178)) % 1.13/1.34 (define @t337 () (@var "V_a_H" $$unsorted)) % 1.13/1.34 (define @t338 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t337 @t152)) % 1.13/1.34 (define @t339 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t152)) % 1.13/1.34 (define @t340 () (@list @t152 @t337 @t62 @t22)) % 1.13/1.34 (define @t341 () (@var "V_xa" $$unsorted)) % 1.13/1.34 (define @t342 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t341 @t74)) % 1.13/1.34 (define @t343 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t341 @t73)) % 1.13/1.34 (define @t344 () (@list @t74 @t73 @t341 @t22)) % 1.13/1.34 (define @t345 () (@var "V_b_H" $$unsorted)) % 1.13/1.34 (define @t346 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t345)) % 1.13/1.34 (define @t347 () (@list @t345 @t152 @t62 @t22)) % 1.13/1.34 (define @t348 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t339)) % 1.13/1.34 (define @t349 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t62)) % 1.13/1.34 (define @t350 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t349 @t152)) % 1.13/1.34 (define @t351 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t152)) % 1.13/1.34 (define @t352 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t351)) % 1.13/1.34 (define @t353 () (= @t122 @t294)) % 1.13/1.34 (define @t354 () (@var "V_c_2" $$unsorted)) % 1.13/1.34 (define @t355 () (not (= @t354 @t12))) % 1.13/1.34 (define @t356 () (@list @t294 @t122 @t354)) % 1.13/1.34 (define @t357 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t111 @t110)) % 1.13/1.34 (define @t358 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t89 @t88)) % 1.13/1.34 (define @t359 () (@list @t28 @t95 @t96)) % 1.13/1.34 (define @t360 () (tptp.c_Int_Onumber__class_Onumber__of @t142 @t32)) % 1.13/1.34 (define @t361 () (tptp.c_Groups_Otimes__class_Otimes @t142 @t152 @t360)) % 1.13/1.34 (define @t362 () (tptp.c_Groups_Otimes__class_Otimes @t142 @t62 @t360)) % 1.13/1.34 (define @t363 () (and @t144 (tptp.class_Rings_Osemiring @t142))) % 1.13/1.34 (define @t364 () (@list @t32 @t152 @t62 @t142)) % 1.13/1.34 (define @t365 () (tptp.c_Groups_Otimes__class_Otimes @t142 @t360 @t192)) % 1.13/1.34 (define @t366 () (tptp.c_Groups_Otimes__class_Otimes @t142 @t360 @t152)) % 1.13/1.34 (define @t367 () (@list @t192 @t152 @t32 @t142)) % 1.13/1.34 (define @t368 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t74 @t152)) % 1.13/1.34 (define @t369 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t73 @t62)) % 1.13/1.34 (define @t370 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t369 @t152)) % 1.13/1.34 (define @t371 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t328 @t339)) % 1.13/1.34 (define @t372 () (@list @t152 @t62 @t74 @t73 @t22)) % 1.13/1.34 (define @t373 () (tptp.class_Rings_Oring @t22)) % 1.13/1.34 (define @t374 () (and @t144 (tptp.class_Rings_Oring @t142))) % 1.13/1.34 (define @t375 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t35 @t77)) % 1.13/1.34 (define @t376 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t40 @t77)) % 1.13/1.34 (define @t377 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t77)) % 1.13/1.34 (define @t378 () (@list @t35 @t40 @t77)) % 1.13/1.34 (define @t379 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t73)) % 1.13/1.34 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t89)) % 1.13/1.34 (define @t381 () (= @t40 @t12)) % 1.13/1.34 (define @t382 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t40 @t40)) % 1.13/1.34 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t244 @t256)) % 1.13/1.34 (define @t384 () (@var "V_u" $$unsorted)) % 1.13/1.34 (define @t385 () (@var "V_z_H" $$unsorted)) % 1.13/1.34 (define @t386 () (@var "V_w_H" $$unsorted)) % 1.13/1.34 (define @t387 () (tptp.hAPP @t322 @t122)) % 1.13/1.34 (define @t388 () (tptp.hAPP @t322 @t294)) % 1.13/1.34 (define @t389 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t388 @t387) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t294 @t122))) % 1.13/1.34 (define @t390 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t222)) % 1.13/1.34 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t220)) % 1.13/1.34 (define @t392 () (@list @t220 @t222)) % 1.13/1.34 (define @t393 () (@var "V_S" $$unsorted)) % 1.13/1.34 (define @t394 () (@var "V_R" $$unsorted)) % 1.13/1.34 (define @t395 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t73)) % 1.13/1.34 (define @t396 () (= @t164 @t56)) % 1.13/1.34 (define @t397 () (=> @t396 @t123)) % 1.13/1.34 (define @t398 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t122 @t164)) % 1.13/1.34 (define @t399 () (not @t396)) % 1.13/1.34 (define @t400 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t294 @t164)) % 1.13/1.34 (define @t401 () (and @t151 @t165)) % 1.13/1.34 (define @t402 () (@list @t122 @t47 @t294 @t22)) % 1.13/1.34 (define @t403 () (= @t354 @t56)) % 1.13/1.34 (define @t404 () (=> @t403 @t396)) % 1.13/1.34 (define @t405 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t164 @t354)) % 1.13/1.34 (define @t406 () (not @t403)) % 1.13/1.34 (define @t407 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t294 @t354)) % 1.13/1.34 (define @t408 () (@list @t47 @t354 @t294 @t22)) % 1.13/1.34 (define @t409 () (@list @t354 @t294 @t47 @t22)) % 1.13/1.34 (define @t410 () (@list @t47 @t294 @t122 @t22)) % 1.13/1.34 (define @t411 () (@var "V_h" $$unsorted)) % 1.13/1.34 (define @t412 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t192 @t271)) % 1.13/1.34 (define @t413 () (= @t73 @t12)) % 1.13/1.34 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t192 @t12)) % 1.13/1.34 (define @t415 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t73)) % 1.13/1.34 (define @t416 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t122)) % 1.13/1.34 (define @t417 () (tptp.c_Orderings_Oord__class_Oless @t22 @t164 @t56)) % 1.13/1.34 (define @t418 () (not @t417)) % 1.13/1.34 (define @t419 () (tptp.c_Orderings_Oord__class_Oless @t22 @t398 @t294)) % 1.13/1.34 (define @t420 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t164)) % 1.13/1.34 (define @t421 () (not @t420)) % 1.13/1.34 (define @t422 () (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t398)) % 1.13/1.34 (define @t423 () (and @t167 @t165)) % 1.13/1.34 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t22 @t354 @t56)) % 1.13/1.34 (define @t425 () (not @t424)) % 1.13/1.34 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t22 @t405 @t294)) % 1.13/1.34 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t354)) % 1.13/1.34 (define @t428 () (not @t427)) % 1.13/1.34 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t405)) % 1.13/1.34 (define @t430 () (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t152)) % 1.13/1.34 (define @t431 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t64 @t430)) % 1.13/1.34 (define @t432 () (tptp.class_Rings_Odivision__ring @t22)) % 1.13/1.34 (define @t433 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t122)) % 1.13/1.34 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t398 @t294)) % 1.13/1.34 (define @t435 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t398)) % 1.13/1.34 (define @t436 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t405 @t294)) % 1.13/1.34 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t405)) % 1.13/1.34 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t56)) % 1.13/1.34 (define @t439 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t69 @t69)) % 1.13/1.34 (define @t440 () (@list @t69 @t22)) % 1.13/1.34 (define @t441 () (tptp.c_Nat_OSuc @t244)) % 1.13/1.34 (define @t442 () (@var "B_f" $$unsorted)) % 1.13/1.34 (define @t443 () (tptp.hAPP @t442 @t310)) % 1.13/1.34 (define @t444 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t35)) % 1.13/1.34 (define @t445 () (@list @t35)) % 1.13/1.34 (define @t446 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t69 @t28)) % 1.13/1.34 (define @t447 () (tptp.c_Int_OBit0 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t58 @t105))) % 1.13/1.34 (define @t448 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t95 @t28)) % 1.13/1.34 (define @t449 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t96 @t28)) % 1.13/1.34 (define @t450 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t95)) % 1.13/1.34 (define @t451 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t96)) % 1.13/1.34 (define @t452 () (@list @t95 @t96 @t28)) % 1.13/1.34 (define @t453 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t96 @t95)) % 1.13/1.34 (define @t454 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t222)) % 1.13/1.34 (define @t455 () (@list @t244 @t256)) % 1.13/1.34 (define @t456 () (@var "B_za" $$unsorted)) % 1.13/1.34 (define @t457 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t7)) % 1.13/1.34 (define @t458 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t73)) % 1.13/1.34 (define @t459 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t73 @t69)) @t59) @t271)) % 1.13/1.34 (define @t460 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t271)) % 1.13/1.34 (define @t461 () (tptp.c_Nat_OSuc @t220)) % 1.13/1.34 (define @t462 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t289)) % 1.13/1.34 (define @t463 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t220 @t222)) % 1.13/1.34 (define @t464 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t222 @t220)) % 1.13/1.34 (define @t465 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t222 @t58)) % 1.13/1.34 (define @t466 () (@list @t58 @t222 @t220)) % 1.13/1.34 (define @t467 () (= @t89 @t243)) % 1.13/1.34 (define @t468 () (= @t256 @t244)) % 1.13/1.34 (define @t469 () (or @t468 @t467)) % 1.13/1.34 (define @t470 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t244 @t89)) % 1.13/1.34 (define @t471 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t256 @t89)) % 1.13/1.34 (define @t472 () (@list @t244 @t89 @t256)) % 1.13/1.34 (define @t473 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t89 @t244)) % 1.13/1.34 (define @t474 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t89 @t256)) % 1.13/1.34 (define @t475 () (= @t474 @t473)) % 1.13/1.34 (define @t476 () (@list @t244 @t256 @t89)) % 1.13/1.34 (define @t477 () (= @t256 @t243)) % 1.13/1.34 (define @t478 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t256 @t244)) % 1.13/1.34 (define @t479 () (@list @t220)) % 1.13/1.34 (define @t480 () (@var "V_nat_H_2" $$unsorted)) % 1.13/1.34 (define @t481 () (@var "V_nat_2" $$unsorted)) % 1.13/1.34 (define @t482 () (tptp.c_Nat_OSuc @t89)) % 1.13/1.34 (define @t483 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t482 @t244)) % 1.13/1.34 (define @t484 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t482 @t256)) % 1.13/1.34 (define @t485 () (@var "V_P_2" $$unsorted)) % 1.13/1.34 (define @t486 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t485 @t244) @t256))) % 1.13/1.34 (define @t487 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t256 @t244)) % 1.13/1.34 (define @t488 () (@var "V_t" $$unsorted)) % 1.13/1.34 (define @t489 () (= @t220 @t222)) % 1.13/1.34 (define @t490 () (not @t489)) % 1.13/1.34 (define @t491 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t220)) % 1.13/1.34 (define @t492 () (not @t75)) % 1.13/1.34 (define @t493 () (not @t468)) % 1.13/1.34 (define @t494 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t244)) % 1.13/1.34 (define @t495 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t256)) % 1.13/1.34 (define @t496 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t58)) % 1.13/1.34 (define @t497 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t220)) % 1.13/1.34 (define @t498 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t222)) % 1.13/1.34 (define @t499 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t220)) % 1.13/1.34 (define @t500 () (@list @t222 @t220 @t58)) % 1.13/1.34 (define @t501 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t58)) % 1.13/1.34 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 @t222)) % 1.13/1.34 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t101)) % 1.13/1.34 (define @t504 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t220)) % 1.13/1.34 (define @t505 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t101 @t58)) % 1.13/1.34 (define @t506 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t102 @t58)) % 1.13/1.34 (define @t507 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t101)) % 1.13/1.34 (define @t508 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t102)) % 1.13/1.34 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t105)) % 1.13/1.34 (define @t510 () (@list @t105 @t58 @t101 @t102)) % 1.13/1.34 (define @t511 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t101)) % 1.13/1.34 (define @t512 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t511 @t58)) % 1.13/1.34 (define @t513 () (and (= @t256 @t281) (= @t244 @t281))) % 1.13/1.34 (define @t514 () (@var "V_nat_H_1" $$unsorted)) % 1.13/1.34 (define @t515 () (@var "V_nat_H" $$unsorted)) % 1.13/1.34 (define @t516 () (= @t244 @t265)) % 1.13/1.34 (define @t517 () (= @t256 @t265)) % 1.13/1.34 (define @t518 () (= @t222 @t243)) % 1.13/1.34 (define @t519 () (not @t518)) % 1.13/1.34 (define @t520 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t222)) % 1.13/1.34 (define @t521 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t256)) % 1.13/1.34 (define @t522 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t89)) % 1.13/1.34 (define @t523 () (and @t522 @t487)) % 1.13/1.34 (define @t524 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t474 @t473)) % 1.13/1.34 (define @t525 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t58)) % 1.13/1.34 (define @t526 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t101)) % 1.13/1.34 (define @t527 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t222)) % 1.13/1.34 (define @t528 () (not @t463)) % 1.13/1.34 (define @t529 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t220 @t289)) % 1.13/1.34 (define @t530 () (tptp.c_Nat_OSuc @t102)) % 1.13/1.34 (define @t531 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t58)) % 1.13/1.34 (define @t532 () (tptp.c_Nat_OSuc @t256)) % 1.13/1.34 (define @t533 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t244 @t532)) % 1.13/1.34 (define @t534 () (= @t533 @t270)) % 1.13/1.34 (define @t535 () (or @t487 @t468)) % 1.13/1.34 (define @t536 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t256 @t441)) % 1.13/1.34 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t256 @t244)) % 1.13/1.34 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t289)) % 1.13/1.34 (define @t539 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t461 @t222)) % 1.13/1.34 (define @t540 () (tptp.c_Nat_OSuc @t286)) % 1.13/1.34 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t461 @t222)) % 1.13/1.34 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 @t289)) % 1.13/1.34 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t256 @t244)) % 1.13/1.34 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t441 @t256)) % 1.13/1.34 (define @t545 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t102 @t101)) % 1.13/1.34 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t222)) % 1.13/1.34 (define @t547 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t58 @t105)) % 1.13/1.34 (define @t548 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t105)) % 1.13/1.34 (define @t549 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t102 @t58)) % 1.13/1.34 (define @t550 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t58)) % 1.13/1.34 (define @t551 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t101)) % 1.13/1.34 (define @t552 () (@list @t220 @t101 @t102)) % 1.13/1.34 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t220)) % 1.13/1.34 (define @t554 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t102)) % 1.13/1.34 (define @t555 () (= @t390 @t243)) % 1.13/1.34 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t222)) % 1.13/1.34 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t58)) % 1.13/1.34 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t557 @t222)) % 1.13/1.34 (define @t559 () (@list @t222 @t58 @t220)) % 1.13/1.34 (define @t560 () (@var "B_k" $$unsorted)) % 1.13/1.34 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t256 @t560)) % 1.13/1.34 (define @t562 () (@list @t560)) % 1.13/1.34 (define @t563 () (= @t220 @t243)) % 1.13/1.34 (define @t564 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t222)) % 1.13/1.34 (define @t565 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t220)) % 1.13/1.34 (define @t566 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t222)) % 1.13/1.34 (define @t567 () (@list @t105 @t222 @t220)) % 1.13/1.34 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t58 @t220)) % 1.13/1.34 (define @t569 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t244 @t89)) % 1.13/1.34 (define @t570 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t256 @t89)) % 1.13/1.34 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t244)) % 1.13/1.34 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t256)) % 1.13/1.34 (define @t573 () (@var "B_j" $$unsorted)) % 1.13/1.34 (define @t574 () (tptp.c_Nat_OSuc @t265)) % 1.13/1.34 (define @t575 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t220)) % 1.13/1.34 (define @t576 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t222)) % 1.13/1.34 (define @t577 () (or (and @t517 @t245) (and @t477 @t516))) % 1.13/1.34 (define @t578 () (=> @t522 @t543)) % 1.13/1.34 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t474 @t473)) % 1.13/1.34 (define @t580 () (@list @t220 @t102)) % 1.13/1.34 (define @t581 () (@var "V_j_2" $$unsorted)) % 1.13/1.34 (define @t582 () (@var "V_i_2" $$unsorted)) % 1.13/1.34 (define @t583 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t582 @t89)) % 1.13/1.34 (define @t584 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t581 @t89)) % 1.13/1.34 (define @t585 () (@list @t89 @t581 @t582)) % 1.13/1.34 (define @t586 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t390) @t220)) % 1.13/1.34 (define @t587 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t58)) % 1.13/1.34 (define @t588 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t587 @t102)) % 1.13/1.34 (define @t589 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t554 @t58)) % 1.13/1.34 (define @t590 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t101)) % 1.13/1.34 (define @t591 () (@list @t102 @t101 @t58)) % 1.13/1.34 (define @t592 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t102 @t587)) % 1.13/1.34 (define @t593 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t545 @t58)) % 1.13/1.34 (define @t594 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t581 @t582)) % 1.13/1.34 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t582 @t581)) % 1.13/1.34 (define @t596 () (tptp.hBOOL (tptp.hAPP @t485 @t199))) % 1.13/1.34 (define @t597 () (= @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t294 @t199))) % 1.13/1.34 (define @t598 () (tptp.hBOOL (tptp.hAPP @t485 @t243))) % 1.13/1.34 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t294)) % 1.13/1.34 (define @t600 () (tptp.hBOOL (tptp.hAPP @t485 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t294)))) % 1.13/1.34 (define @t601 () (@list @t294 @t122 @t485)) % 1.13/1.34 (define @t602 () (tptp.c_Nat_OSuc @t101)) % 1.13/1.34 (define @t603 () (tptp.c_Nat_OSuc @t587)) % 1.13/1.34 (define @t604 () (@list @t220 @t101 @t58)) % 1.13/1.34 (define @t605 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t281))) % 1.13/1.34 (define @t606 () (tptp.c_Int_OBit0 @t7)) % 1.13/1.34 (define @t607 () (@var "V_q" $$unsorted)) % 1.13/1.34 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t127)) % 1.13/1.34 (define @t609 () (= @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t127 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t62 @t607)))) % 1.13/1.34 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t62)) % 1.13/1.34 (define @t611 () (@list @t607 @t127 @t62)) % 1.13/1.34 (define @t612 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t7)) % 1.13/1.34 (define @t613 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.13/1.34 (define @t614 () (= @t35 @t56)) % 1.13/1.34 (define @t615 () (and @t82 @t614)) % 1.13/1.34 (define @t616 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t40 @t40)) % 1.13/1.34 (define @t617 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t616 (tptp.c_Groups_Otimes__class_Otimes @t22 @t35 @t35))) % 1.13/1.34 (define @t618 () (tptp.class_Rings_Olinordered__ring__strict @t22)) % 1.13/1.34 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t252 tptp.c_Int_OPls)) % 1.13/1.34 (define @t620 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t252)) % 1.13/1.34 (define @t621 () (@list @t252)) % 1.13/1.34 (define @t622 () (@var "V_v_H_2" $$unsorted)) % 1.13/1.34 (define @t623 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t252 @t622)) % 1.13/1.34 (define @t624 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t622)) % 1.13/1.34 (define @t625 () (@list @t622 @t252)) % 1.13/1.34 (define @t626 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t6)) % 1.13/1.34 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t74)) % 1.13/1.34 (define @t628 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t281)) % 1.13/1.34 (define @t629 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t395 (tptp.c_Groups_Otimes__class_Otimes @t22 @t74 @t74))) % 1.13/1.34 (define @t630 () (tptp.class_Rings_Olinordered__ring @t22)) % 1.13/1.34 (define @t631 () (not @t614)) % 1.13/1.34 (define @t632 () (tptp.c_Int_OBit1 @t6)) % 1.13/1.34 (define @t633 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t632)) % 1.13/1.34 (define @t634 () (tptp.c_Nat_OSuc @t289)) % 1.13/1.34 (define @t635 () (@var "V_v_H" $$unsorted)) % 1.13/1.34 (define @t636 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t635)) % 1.13/1.34 (define @t637 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t32)) % 1.13/1.34 (define @t638 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t637 @t636)) % 1.13/1.34 (define @t639 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t635 tptp.c_Int_OPls)) % 1.13/1.34 (define @t640 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 tptp.c_Int_OPls)) % 1.13/1.34 (define @t641 () (not @t640)) % 1.13/1.34 (define @t642 () (@list @t635 @t32)) % 1.13/1.34 (define @t643 () (@var "V_x1" $$unsorted)) % 1.13/1.34 (define @t644 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t643)) % 1.13/1.34 (define @t645 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t643 @t74) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t73 @t384))) % 1.13/1.34 (define @t646 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t643)) % 1.13/1.34 (define @t647 () (@list @t384 @t74 @t643 @t73)) % 1.13/1.34 (define @t648 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t69 @t69)) % 1.13/1.34 (define @t649 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t32 @t635))) % 1.13/1.34 (define @t650 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t637 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t636 @t58))) % 1.13/1.34 (define @t651 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t637 @t636)) % 1.13/1.34 (define @t652 () (not @t563)) % 1.13/1.34 (define @t653 () (@var "V_q_H" $$unsorted)) % 1.13/1.34 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t653 @t607)) % 1.13/1.34 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t345 @t152)) % 1.13/1.34 (define @t656 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t345)) % 1.13/1.34 (define @t657 () (@var "V_r_H" $$unsorted)) % 1.13/1.34 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t657)) % 1.13/1.34 (define @t659 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t127 @t152)) % 1.13/1.34 (define @t660 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t345 @t653) @t657)) % 1.13/1.34 (define @t661 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t660 @t227)) % 1.13/1.34 (define @t662 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t152 @t607) @t127)) % 1.13/1.34 (define @t663 () (= @t662 @t660)) % 1.13/1.34 (define @t664 () (@list @t657 @t653 @t345 @t127 @t607 @t152)) % 1.13/1.34 (define @t665 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t607 @t653)) % 1.13/1.34 (define @t666 () (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 @t152 @t653) @t657) @t662)) % 1.13/1.34 (define @t667 () (@list @t127 @t607 @t657 @t653 @t152)) % 1.13/1.34 (define @t668 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t657 @t345)) % 1.13/1.34 (define @t669 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t660)) % 1.13/1.34 (define @t670 () (@list @t657 @t653 @t345)) % 1.13/1.34 (define @t671 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t612)) % 1.13/1.34 (define @t672 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t384 @t73) (tptp.c_Groups_Otimes__class_Otimes @t22 @t32 @t74))) % 1.13/1.34 (define @t673 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t384 @t32) @t24)) % 1.13/1.34 (define @t674 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t32)) % 1.13/1.34 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t384)) % 1.13/1.34 (define @t676 () (@list @t32 @t384 @t74 @t62 @t73 @t22)) % 1.13/1.34 (define @t677 () (@var "V_u_2" $$unsorted)) % 1.13/1.34 (define @t678 () (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 @t582 @t581) @t677) @t256)) % 1.13/1.34 (define @t679 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t581 @t677) @t244)) % 1.13/1.34 (define @t680 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t582 @t677) @t256)) % 1.13/1.34 (define @t681 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t680 @t679)) % 1.13/1.34 (define @t682 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t581 @t582)) % 1.13/1.34 (define @t683 () (@list @t244 @t256 @t677 @t582 @t581)) % 1.13/1.34 (define @t684 () (tptp.c_Orderings_Oord__class_Oless @t22 @t73 @t74)) % 1.13/1.34 (define @t685 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t64) @t62)) % 1.13/1.34 (define @t686 () (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t122)) % 1.13/1.34 (define @t687 () (@list @t294 @t122 @t22)) % 1.13/1.34 (define @t688 () (= @t62 @t152)) % 1.13/1.34 (define @t689 () (= @t64 @t430)) % 1.13/1.34 (define @t690 () (= @t339 @t56)) % 1.13/1.34 (define @t691 () (tptp.class_Rings_Ono__zero__divisors @t22)) % 1.13/1.34 (define @t692 () (= @t294 @t56)) % 1.13/1.34 (define @t693 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t122 @t294)) % 1.13/1.34 (define @t694 () (tptp.class_Rings_Omult__zero @t22)) % 1.13/1.34 (define @t695 () (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t56 @t62) @t56)) % 1.13/1.34 (define @t696 () (tptp.class_Rings_Ozero__neq__one @t22)) % 1.13/1.34 (define @t697 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t152 @t192)) % 1.13/1.34 (define @t698 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t192)) % 1.13/1.34 (define @t699 () (@list @t192 @t152 @t62 @t22)) % 1.13/1.34 (define @t700 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t294)) % 1.13/1.34 (define @t701 () (= @t122 @t700)) % 1.13/1.34 (define @t702 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t152 @t192)) % 1.13/1.34 (define @t703 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t192)) % 1.13/1.34 (define @t704 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t56) @t56)) % 1.13/1.34 (define @t705 () (= @t64 @t56)) % 1.13/1.34 (define @t706 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t62)) % 1.13/1.34 (define @t707 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t62)) % 1.13/1.34 (define @t708 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t152)) % 1.13/1.34 (define @t709 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t707 @t708)) % 1.13/1.34 (define @t710 () (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t339) @t709)) % 1.13/1.34 (define @t711 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t154)) % 1.13/1.34 (define @t712 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t349) (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t64))) % 1.13/1.34 (define @t713 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t101 @t384)) % 1.13/1.34 (define @t714 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t102 @t384)) % 1.13/1.34 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t339 @t56)) % 1.13/1.34 (define @t716 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t152)) % 1.13/1.34 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t62 @t56)) % 1.13/1.34 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t152 @t56)) % 1.13/1.34 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t62)) % 1.13/1.34 (define @t720 () (tptp.class_Rings_Oordered__cancel__semiring @t22)) % 1.13/1.34 (define @t721 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t339)) % 1.13/1.34 (define @t722 () (tptp.class_Rings_Oordered__ring @t22)) % 1.13/1.34 (define @t723 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t152 @t271)) % 1.13/1.34 (define @t724 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t192)) % 1.13/1.34 (define @t725 () (=> @t724 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t698 @t723))) % 1.13/1.34 (define @t726 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t192 @t271)) % 1.13/1.34 (define @t727 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t62 @t152)) % 1.13/1.34 (define @t728 () (tptp.class_Rings_Oordered__semiring @t22)) % 1.13/1.34 (define @t729 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t192 @t152)) % 1.13/1.34 (define @t730 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t192 @t62)) % 1.13/1.34 (define @t731 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t730 @t729)) % 1.13/1.34 (define @t732 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t192 @t56)) % 1.13/1.34 (define @t733 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t152 @t62)) % 1.13/1.34 (define @t734 () (@list @t192 @t62 @t152 @t22)) % 1.13/1.34 (define @t735 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t698 @t697)) % 1.13/1.34 (define @t736 () (=> @t727 (=> @t724 @t731))) % 1.13/1.34 (define @t737 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t152 @t62)) % 1.13/1.34 (define @t738 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t294)) % 1.13/1.34 (define @t739 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t56)) % 1.13/1.34 (define @t740 () (or (and @t433 @t739) (and @t438 @t738))) % 1.13/1.34 (define @t741 () (or (and @t433 @t738) (and @t438 @t739))) % 1.13/1.34 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t122)) % 1.13/1.34 (define @t743 () (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t294)) % 1.13/1.34 (define @t744 () (or (and @t427 @t743) (and @t424 @t742))) % 1.13/1.34 (define @t745 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t122 @t354)) % 1.13/1.34 (define @t746 () (@list @t294 @t354 @t122 @t22)) % 1.13/1.34 (define @t747 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t354 @t294)) % 1.13/1.34 (define @t748 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t354 @t122)) % 1.13/1.34 (define @t749 () (tptp.c_Orderings_Oord__class_Oless @t22 @t748 @t747)) % 1.13/1.34 (define @t750 () (@list @t294 @t122 @t354 @t22)) % 1.13/1.34 (define @t751 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t339)) % 1.13/1.34 (define @t752 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t152)) % 1.13/1.34 (define @t753 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t62)) % 1.13/1.34 (define @t754 () (tptp.class_Rings_Olinordered__semiring__strict @t22)) % 1.13/1.34 (define @t755 () (tptp.c_Orderings_Oord__class_Oless @t22 @t339 @t56)) % 1.13/1.34 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t22 @t152 @t56)) % 1.13/1.34 (define @t757 () (=> @t753 @t752)) % 1.13/1.34 (define @t758 () (tptp.c_Orderings_Oord__class_Oless @t22 @t62 @t56)) % 1.13/1.34 (define @t759 () (tptp.c_Orderings_Oord__class_Oless @t22 @t698 @t697)) % 1.13/1.34 (define @t760 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t192)) % 1.13/1.34 (define @t761 () (tptp.c_Orderings_Oord__class_Oless @t22 @t62 @t152)) % 1.13/1.34 (define @t762 () (tptp.c_Orderings_Oord__class_Oless @t22 @t730 @t729)) % 1.13/1.34 (define @t763 () (=> @t761 (=> @t760 @t762))) % 1.13/1.34 (define @t764 () (tptp.c_Orderings_Oord__class_Oless @t22 @t192 @t56)) % 1.13/1.34 (define @t765 () (tptp.c_Orderings_Oord__class_Oless @t22 @t152 @t62)) % 1.13/1.34 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t22 @t152 @t278)) % 1.13/1.34 (define @t767 () (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t152 @t192) @t766)) % 1.13/1.34 (define @t768 () (tptp.class_Rings_Olinordered__semidom @t22)) % 1.13/1.34 (define @t769 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t122)) % 1.13/1.34 (define @t770 () (@var "V_da_2" $$unsorted)) % 1.13/1.34 (define @t771 () (@var "V_e_2" $$unsorted)) % 1.13/1.34 (define @t772 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t122 @t294)) % 1.13/1.34 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t772 @t771) @t354)) % 1.13/1.34 (define @t774 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t294 @t771) @t770)) % 1.13/1.34 (define @t775 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t122 @t771) @t354)) % 1.13/1.34 (define @t776 () (= @t775 @t774)) % 1.13/1.34 (define @t777 () (@list @t770 @t294 @t354 @t771 @t122 @t22)) % 1.13/1.34 (define @t778 () (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t294 @t122) @t771) @t770)) % 1.13/1.34 (define @t779 () (= @t745 @t294)) % 1.13/1.34 (define @t780 () (= @t122 @t407)) % 1.13/1.34 (define @t781 () (= @t294 @t745)) % 1.13/1.34 (define @t782 () (= @t407 @t122)) % 1.13/1.34 (define @t783 () (@list @t122 @t294 @t354 @t22)) % 1.13/1.34 (define @t784 () (not (= @t192 @t56))) % 1.13/1.34 (define @t785 () (@list @t62 @t152 @t192 @t22)) % 1.13/1.34 (define @t786 () (@list @t152 @t62 @t192 @t22)) % 1.13/1.34 (define @t787 () (= @t40 @t24)) % 1.13/1.34 (define @t788 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t122 @t294)) % 1.13/1.34 (define @t789 () (@list @t122 @t294 @t22)) % 1.13/1.34 (define @t790 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t62)) % 1.13/1.34 (define @t791 () (=> @t100 (= @t790 @t24))) % 1.13/1.34 (define @t792 () (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t349 @t351) @t154)) % 1.13/1.34 (define @t793 () (= @t711 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t351))) % 1.13/1.34 (define @t794 () (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t339)) % 1.13/1.34 (define @t795 () (tptp.c_Orderings_Oord__class_Oless @t22 @t769 @t294)) % 1.13/1.34 (define @t796 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t122)) % 1.13/1.34 (define @t797 () (= @t154 (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t430))) % 1.13/1.34 (define @t798 () (= @t64 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t24 @t62))) % 1.13/1.34 (define @t799 () (forall @t68 (=> @t432 @t798))) % 1.13/1.34 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t294)) % 1.13/1.34 (define @t801 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t748 @t747)) % 1.13/1.34 (define @t802 () (tptp.c_Orderings_Oord__class_Oless @t22 @t698 @t723)) % 1.13/1.34 (define @t803 () (=> @t724 @t802)) % 1.13/1.34 (define @t804 () (tptp.c_Orderings_Oord__class_Oless @t22 @t192 @t271)) % 1.13/1.34 (define @t805 () (=> @t724 @t761)) % 1.13/1.34 (define @t806 () (=> @t759 @t805)) % 1.13/1.34 (define @t807 () (tptp.class_Rings_Olinordered__semiring @t22)) % 1.13/1.34 (define @t808 () (@list @t152 @t192 @t62 @t22)) % 1.13/1.34 (define @t809 () (=> @t762 @t805)) % 1.13/1.34 (define @t810 () (=> @t760 @t727)) % 1.13/1.34 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t74 @t24)) % 1.13/1.34 (define @t812 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t74)) % 1.13/1.34 (define @t813 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t73)) % 1.13/1.34 (define @t814 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t74 @t73)) % 1.13/1.34 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t775 @t774)) % 1.13/1.34 (define @t816 () (tptp.c_Orderings_Oord__class_Oless @t22 @t775 @t774)) % 1.13/1.34 (define @t817 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t64 @t430)) % 1.13/1.34 (define @t818 () (=> @t100 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 @t62) @t24))) % 1.13/1.34 (define @t819 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t594 @t677) @t244)) % 1.13/1.34 (define @t820 () (= @t680 @t679)) % 1.13/1.34 (define @t821 () (@list @t244 @t256 @t677 @t581 @t582)) % 1.13/1.34 (define @t822 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t714 @t220) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t713 @t222))) % 1.13/1.34 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t680 @t679)) % 1.13/1.34 (define @t824 () (tptp.class_Fields_Olinordered__field @t22)) % 1.13/1.34 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t40 @t56)) % 1.13/1.34 (define @t826 () (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t40)) % 1.13/1.34 (define @t827 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t40)) % 1.13/1.34 (define @t828 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t69)) % 1.13/1.34 (define @t829 () (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t154) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t707 @t708))) % 1.13/1.34 (define @t830 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t154) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t152 @t62))) % 1.13/1.34 (define @t831 () (forall @t188 (=> @t151 @t830))) % 1.13/1.34 (define @t832 () (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t64) (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t707))) % 1.13/1.34 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t56)) % 1.13/1.34 (define @t834 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t294)) % 1.13/1.34 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t189)) % 1.13/1.34 (define @t836 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t74)) % 1.13/1.34 (define @t837 () (=> @t836 @t835)) % 1.13/1.34 (define @t838 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t73)) % 1.13/1.34 (define @t839 () (=> @t838 @t837)) % 1.13/1.34 (define @t840 () (forall @t191 (=> @t824 @t839))) % 1.13/1.34 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t22 @t189 @t56)) % 1.13/1.34 (define @t842 () (tptp.c_Orderings_Oord__class_Oless @t22 @t74 @t56)) % 1.13/1.34 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t22 @t73 @t56)) % 1.13/1.34 (define @t844 () (tptp.c_Orderings_Oord__class_Oless @t22 @t703 @t702)) % 1.13/1.34 (define @t845 () (=> @t403 @t123)) % 1.13/1.34 (define @t846 () (@list @t122 @t354 @t294 @t22)) % 1.13/1.34 (define @t847 () (@list @t354 @t294 @t122 @t22)) % 1.13/1.34 (define @t848 () (tptp.c_Orderings_Oord__class_Oless @t22 @t64 @t430)) % 1.13/1.34 (define @t849 () (tptp.c_Orderings_Oord__class_Oless @t22 @t64 @t56)) % 1.13/1.34 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t22 @t430 @t64)) % 1.13/1.34 (define @t851 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t64)) % 1.13/1.34 (define @t852 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t189)) % 1.13/1.34 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t189 @t56)) % 1.13/1.34 (define @t854 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t74 @t28)) % 1.13/1.34 (define @t855 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t73 @t69)) % 1.13/1.34 (define @t856 () (tptp.c_Orderings_Oord__class_Oless @t22 @t855 @t854)) % 1.13/1.34 (define @t857 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t28)) % 1.13/1.34 (define @t858 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t73 @t74)) % 1.13/1.34 (define @t859 () (@list @t69 @t28 @t74 @t73 @t22)) % 1.13/1.34 (define @t860 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t28 @t69)) % 1.13/1.34 (define @t861 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t73 @t56)) % 1.13/1.34 (define @t862 () (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t745)) % 1.13/1.34 (define @t863 () (tptp.c_Orderings_Oord__class_Oless @t22 @t745 @t294)) % 1.13/1.34 (define @t864 () (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t407)) % 1.13/1.34 (define @t865 () (tptp.c_Orderings_Oord__class_Oless @t22 @t407 @t122)) % 1.13/1.34 (define @t866 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t69 @t74)) % 1.13/1.34 (define @t867 () (@list @t69 @t73 @t74 @t22)) % 1.13/1.34 (define @t868 () (@list @t73 @t69 @t74 @t22)) % 1.13/1.34 (define @t869 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t192 @t152)) % 1.13/1.34 (define @t870 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t192 @t62)) % 1.13/1.34 (define @t871 () (=> @t751 (tptp.c_Orderings_Oord__class_Oless @t22 @t870 @t869))) % 1.13/1.34 (define @t872 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t73 @t866)) % 1.13/1.34 (define @t873 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t872 @t74)) % 1.13/1.34 (define @t874 () (not (= @t74 @t56))) % 1.13/1.34 (define @t875 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t69 @t73)) % 1.13/1.34 (define @t876 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t74 @t69)) % 1.13/1.34 (define @t877 () (not (= @t69 @t56))) % 1.13/1.34 (define @t878 () (@list @t74 @t73 @t69 @t22)) % 1.13/1.34 (define @t879 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t74 @t69)) % 1.13/1.34 (define @t880 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t28 @t74)) % 1.13/1.34 (define @t881 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t28 @t69)) % 1.13/1.34 (define @t882 () (@list @t28 @t73 @t69 @t74 @t22)) % 1.13/1.34 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t64 @t430)) % 1.13/1.34 (define @t884 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t430 @t64)) % 1.13/1.34 (define @t885 () (tptp.c_Rings_Oinverse__class_Odivide @t22 @t268 @t25)) % 1.13/1.34 (define @t886 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t745)) % 1.13/1.34 (define @t887 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t745 @t294)) % 1.13/1.34 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t407)) % 1.13/1.34 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t407 @t122)) % 1.13/1.34 (define @t890 () (=> @t751 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t870 @t869))) % 1.13/1.34 (define @t891 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t707 @t708)) % 1.13/1.34 (define @t892 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t186)) % 1.13/1.34 (define @t893 () (tptp.class_Groups_Oordered__ab__group__add__abs @t22)) % 1.13/1.34 (define @t894 () (= @t152 @t192)) % 1.13/1.34 (define @t895 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t192 @t62)) % 1.13/1.34 (define @t896 () (tptp.class_Groups_Ocancel__semigroup__add @t22)) % 1.13/1.34 (define @t897 () (=> (= @t268 @t278) @t894)) % 1.13/1.34 (define @t898 () (= @t294 @t354)) % 1.13/1.34 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t354 @t122)) % 1.13/1.34 (define @t900 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t122 @t354)) % 1.13/1.34 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t122 @t294)) % 1.13/1.34 (define @t902 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t152 @t192)) % 1.13/1.34 (define @t903 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t268 @t192)) % 1.13/1.34 (define @t904 () (= @t903 (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t902))) % 1.13/1.34 (define @t905 () (= @t772 (tptp.c_Groups_Ominus__class_Ominus @t22 @t354 @t770))) % 1.13/1.34 (define @t906 () (@list @t770 @t354 @t294 @t122 @t22)) % 1.13/1.34 (define @t907 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t56) @t62)) % 1.13/1.34 (define @t908 () (tptp.class_Groups_Ocomm__monoid__add @t22)) % 1.13/1.34 (define @t909 () (tptp.class_Groups_Omonoid__add @t22)) % 1.13/1.34 (define @t910 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t56 @t62) @t62)) % 1.13/1.34 (define @t911 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t192 @t152)) % 1.13/1.34 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t895 @t911)) % 1.13/1.34 (define @t913 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t22)) % 1.13/1.34 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t278 @t902)) % 1.13/1.34 (define @t915 () (tptp.class_Groups_Oordered__ab__semigroup__add @t22)) % 1.13/1.34 (define @t916 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t354 @t294)) % 1.13/1.34 (define @t917 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t294 @t354)) % 1.13/1.34 (define @t918 () (tptp.c_Orderings_Oord__class_Oless @t22 @t895 @t911)) % 1.13/1.34 (define @t919 () (tptp.c_Orderings_Oord__class_Oless @t22 @t278 @t902)) % 1.13/1.34 (define @t920 () (tptp.c_Orderings_Oord__class_Oless @t22 @t278 @t277)) % 1.13/1.34 (define @t921 () (=> @t804 @t920)) % 1.13/1.34 (define @t922 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t22)) % 1.13/1.34 (define @t923 () (= @t772 @t56)) % 1.13/1.34 (define @t924 () (tptp.class_Groups_Oordered__ab__group__add @t22)) % 1.13/1.34 (define @t925 () (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t24) @t62)) % 1.13/1.34 (define @t926 () (tptp.class_Groups_Ocomm__monoid__mult @t22)) % 1.13/1.34 (define @t927 () (tptp.class_Groups_Omonoid__mult @t22)) % 1.13/1.34 (define @t928 () (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t24 @t62) @t62)) % 1.13/1.34 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t769 @t294)) % 1.13/1.34 (define @t930 () (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t268)) % 1.13/1.34 (define @t931 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t707 @t152)) % 1.13/1.34 (define @t932 () (tptp.c_Groups_Oabs__class_Oabs @t22 @t185)) % 1.13/1.34 (define @t933 () (tptp.class_Groups_Oordered__comm__monoid__add @t22)) % 1.13/1.34 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t152 @t278)) % 1.13/1.34 (define @t935 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t152 @t192)) % 1.13/1.34 (define @t936 () (tptp.c_Orderings_Oord__class_Oless @t22 @t268 @t56)) % 1.13/1.34 (define @t937 () (=> @t756 @t936)) % 1.13/1.34 (define @t938 () (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t268)) % 1.13/1.34 (define @t939 () (=> @t752 @t938)) % 1.13/1.34 (define @t940 () (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t349 @t62) @t56)) % 1.13/1.34 (define @t941 () (= @t707 @t62)) % 1.13/1.34 (define @t942 () (= @t186 (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t351))) % 1.13/1.34 (define @t943 () (tptp.c_Groups_Ominus__class_Ominus @t22 @t707 @t708)) % 1.13/1.34 (define @t944 () (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t349 @t152)) % 1.13/1.34 (define @t945 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t73)) % 1.13/1.34 (define @t946 () (= @t707 @t349)) % 1.13/1.34 (define @t947 () (=> @t758 @t946)) % 1.13/1.34 (define @t948 () (@var "B_N1" $$unsorted)) % 1.13/1.34 (define @t949 () (@var "V_ry" $$unsorted)) % 1.13/1.34 (define @t950 () (@var "V_ly" $$unsorted)) % 1.13/1.34 (define @t951 () (@var "V_rx" $$unsorted)) % 1.13/1.34 (define @t952 () (@var "V_lx" $$unsorted)) % 1.13/1.34 (define @t953 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 @t951)) % 1.13/1.34 (define @t954 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t951 @t949)) % 1.13/1.34 (define @t955 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 @t950)) % 1.13/1.34 (define @t956 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t955 @t954)) % 1.13/1.34 (define @t957 () (tptp.class_Rings_Ocomm__semiring__1 @t22)) % 1.13/1.34 (define @t958 () (@list @t949 @t951 @t950 @t952 @t22)) % 1.13/1.34 (define @t959 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t955 @t951)) % 1.13/1.34 (define @t960 () (@list @t951 @t950 @t952 @t22)) % 1.13/1.34 (define @t961 () (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 @t954)) % 1.13/1.34 (define @t962 () (@list @t949 @t951 @t952 @t22)) % 1.13/1.34 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t274)) % 1.13/1.34 (define @t964 () (@list @t271 @t192 @t62 @t22)) % 1.13/1.34 (define @t965 () (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t966 () (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t967 () (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t968 () (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t969 () (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t970 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t205 @t11)) % 1.13/1.34 (define @t971 () (not @t970)) % 1.13/1.34 (define @t972 () (= @t18 @t205)) % 1.13/1.34 (define @t973 () (not @t968)) % 1.13/1.34 (define @t974 () (or @t973 @t972)) % 1.13/1.34 (define @t975 () (@list false false)) % 1.13/1.34 (define @t976 () (not @t965)) % 1.13/1.34 (define @t977 () (or @t976 (= @t17 @t11))) % 1.13/1.34 (define @t978 () (forall @t188 (or (not @t151) @t830))) % 1.13/1.34 (define @t979 () (@list @t5 @t8 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t980 () (= @t11 @t17)) % 1.13/1.34 (define @t981 () (or @t976 @t980)) % 1.13/1.34 (define @t982 () (@list false)) % 1.13/1.34 (define @t983 () (not @t836)) % 1.13/1.34 (define @t984 () (not @t838)) % 1.13/1.34 (define @t985 () (not @t824)) % 1.13/1.34 (define @t986 () (or @t984 @t983 @t835)) % 1.13/1.34 (define @t987 () (not @t37)) % 1.13/1.34 (define @t988 () (not @t26)) % 1.13/1.34 (define @t989 () (or @t988 @t987 @t148)) % 1.13/1.34 (define @t990 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t8)) % 1.13/1.34 (define @t991 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t7)) % 1.13/1.34 (define @t992 () (not @t967)) % 1.13/1.34 (define @t993 () (not @t969)) % 1.13/1.34 (define @t994 () (or @t993 @t992 (= @t990 @t991))) % 1.13/1.34 (define @t995 () (forall @t39 @t989)) % 1.13/1.34 (define @t996 () (= @t991 @t990)) % 1.13/1.34 (define @t997 () (or @t993 @t992 @t996)) % 1.13/1.34 (define @t998 () (= @t671 @t991)) % 1.13/1.34 (define @t999 () (not @t13)) % 1.13/1.34 (define @t1000 () (not @t990)) % 1.13/1.34 (define @t1001 () (not @t966)) % 1.13/1.34 (define @t1002 () (or @t1001 @t1000 @t999 @t20)) % 1.13/1.34 (define @t1003 () (not @t19)) % 1.13/1.34 (define @t1004 () (not @t980)) % 1.13/1.34 (define @t1005 () (not @t972)) % 1.13/1.34 (define @t1006 () (and @t971 @t972 @t980)) % 1.13/1.34 (assume @p1 @t10) % 1.13/1.34 (assume @p2 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat tptp.v_N2____))) % 1.13/1.34 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t11)) % 1.13/1.34 (assume @p4 @t13) % 1.13/1.34 (assume @p5 (exists @t15 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t14)))) % 1.13/1.34 (assume @p6 (not (forall (@list @t16) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t16)))))) % 1.13/1.34 (assume @p7 (=> @t10 @t21)) % 1.13/1.34 (assume @p8 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t2)) % 1.13/1.34 (assume @p9 (forall @t27 (=> @t26 (= @t25 @t23)))) % 1.13/1.34 (assume @p10 (forall @t31 (=> @t26 (= @t30 (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t6 @t28)))))) % 1.13/1.34 (assume @p11 (forall @t34 (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t33 @t24) (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t6)))))) % 1.13/1.34 (assume @p12 (forall @t39 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t36) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t6 @t35))))) % 1.13/1.34 (assume @p13 (forall @t42 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t41 @t24) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t40 @t6))))) % 1.13/1.34 (assume @p14 (forall @t15 (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 @t46)) @t45))) % 1.13/1.34 (assume @p15 (forall @t48 (=> (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 @t47 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 @t47) @t4)) @t11)))) % 1.13/1.34 (assume @p16 (forall @t31 (=> (and @t26 @t49) (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t29) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t28)))))) % 1.13/1.34 (assume @p17 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 tptp.v_d____)) % 1.13/1.34 (assume @p18 (forall @t55 (=> (and @t54 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 tptp.v_d____)) @t52))) % 1.13/1.34 (assume @p19 (forall @t27 (=> @t57 (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t56) @t12)))) % 1.13/1.34 (assume @p20 (forall @t61 (= @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t59 @t58) @t58)))) % 1.13/1.34 (assume @p21 (forall @t68 (=> (and @t67 @t66) @t65))) % 1.13/1.34 (assume @p22 (forall @t72 (= @t71 @t70))) % 1.13/1.34 (assume @p23 (forall @t76 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t73 @t74) @t75 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t74 @t73)))) % 1.13/1.34 (assume @p24 (forall @t80 (= @t79 (or @t78 (= @t47 @t77))))) % 1.13/1.34 (assume @p25 (forall @t81 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t74 @t69)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t74 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 @t69))))) % 1.13/1.34 (assume @p26 (forall @t42 (=> @t57 (= (= @t83 @t12) @t82)))) % 1.13/1.34 (assume @p27 (forall @t87 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t85) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t84)))) % 1.13/1.34 (assume @p28 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t92 @t91) @t90))) % 1.13/1.34 (assume @p29 (forall @t98 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t94) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t96 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t95 @t94))))) % 1.13/1.34 (assume @p30 (forall @t68 (=> @t67 (=> @t100 @t65)))) % 1.13/1.34 (assume @p31 (forall @t104 (=> @t103 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t102 @t58) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t101 @t58))))) % 1.13/1.34 (assume @p32 (forall @t61 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 tptp.c_Int_OPls) @t58))) % 1.13/1.34 (assume @p33 (forall @t61 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t58) @t58))) % 1.13/1.34 (assume @p34 (forall @t109 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t108 @t107) (tptp.c_Int_OBit0 @t106)))) % 1.13/1.34 (assume @p35 (forall @t61 (= @t108 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t58)))) % 1.13/1.34 (assume @p36 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t113) @t112))) % 1.13/1.34 (assume @p37 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t116) @t90))) % 1.13/1.34 (assume @p38 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.13/1.34 (assume @p39 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t118) @t112))) % 1.13/1.34 (assume @p40 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t120) @t90))) % 1.13/1.34 (assume @p41 (forall @t126 (=> @t125 (= (= @t124 @t56) @t123)))) % 1.13/1.34 (assume @p42 (forall @t129 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t127) @t128))) % 1.13/1.34 (assume @p43 (forall @t131 (=> @t130 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t56 @t74) @t56)))) % 1.13/1.34 (assume @p44 (= @t59 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t6))) % 1.13/1.34 (assume @p45 (forall @t42 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t83) @t132)))) % 1.13/1.34 (assume @p46 (forall @t109 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t60 @t107) @t133))) % 1.13/1.34 (assume @p47 (forall @t109 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t108 @t134) @t133))) % 1.13/1.34 (assume @p48 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 tptp.c_Int_OPls) @t135))) % 1.13/1.34 (assume @p49 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t118) @t112))) % 1.13/1.34 (assume @p50 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t120) @t90))) % 1.13/1.34 (assume @p51 (forall @t126 (=> @t37 @t138))) % 1.13/1.34 (assume @p52 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 tptp.c_Int_OPls) @t135))) % 1.13/1.34 (assume @p53 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t121) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t89)))) % 1.13/1.34 (assume @p54 (forall @t27 (=> @t26 (= @t139 @t56)))) % 1.13/1.34 (assume @p55 (forall @t141 (=> @t57 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t140 @t12))))) % 1.13/1.34 (assume @p56 (forall (@list @t28 @t142) (=> (and @t144 (tptp.class_Rings_Odivision__ring @t142)) (= (tptp.c_Rings_Oinverse__class_Oinverse @t142 @t143) (tptp.c_Rings_Oinverse__class_Odivide @t142 (tptp.c_Groups_Oone__class_Oone @t142) @t143))))) % 1.13/1.34 (assume @p57 (forall @t27 (=> @t147 (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t145) @t145)))) % 1.13/1.34 (assume @p58 (forall @t42 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t41 @t56) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t40 tptp.c_Int_OPls))))) % 1.13/1.34 (assume @p59 @t149) % 1.13/1.34 (assume @p60 (forall @t31 (=> @t26 (= @t150 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t56 @t29) @t29))))) % 1.13/1.34 (assume @p61 (forall @t141 (=> (and @t151 @t26) (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t73 @t139) @t56)))) % 1.13/1.34 (assume @p62 (forall @t158 (=> @t130 (=> @t157 @t155)))) % 1.13/1.34 (assume @p63 (forall @t141 (=> @t38 (and (=> @t161 (= @t160 (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t159))) (=> (not @t161) (= @t160 @t159)))))) % 1.13/1.34 (assume @p64 (forall @t163 (=> (and @t26 (tptp.class_Int_Oring__char__0 @t22)) (= (= @t41 @t36) @t162)))) % 1.13/1.34 (assume @p65 (forall (@list @t40 @t47 @t22) (=> @t165 (= (= @t164 @t40) (= @t40 @t164))))) % 1.13/1.34 (assume @p66 (forall @t93 (= (= @t117 @t116) @t166))) % 1.13/1.34 (assume @p67 (forall @t93 (= (= @t121 @t120) @t166))) % 1.13/1.34 (assume @p68 (forall (@list @t127 @t22) (=> @t168 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t127) (tptp.c_Orderings_Oord__class_Oless @t22 @t56 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t127 @t23)))))) % 1.13/1.34 (assume @p69 (forall (@list @t169 @t22) (=> @t168 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t169 @t23)) (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t169))))) % 1.13/1.34 (assume @p70 (forall @t163 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t41 @t36) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t40 @t35))))) % 1.13/1.34 (assume @p71 (forall @t171 (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t33 (tptp.c_Groups_Oplus__class_Oplus @t22 @t29 @t69)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t170 @t69))))) % 1.13/1.34 (assume @p72 (forall @t173 (=> @t26 (= @t172 @t170)))) % 1.13/1.34 (assume @p73 (forall @t173 (=> @t26 (= @t170 @t172)))) % 1.13/1.34 (assume @p74 (forall @t173 (=> @t26 (= (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t32 @t28)) @t174)))) % 1.13/1.34 (assume @p75 (forall @t31 (=> @t26 (= @t177 @t175)))) % 1.13/1.34 (assume @p76 (forall @t31 (=> @t26 (= @t175 @t177)))) % 1.13/1.34 (assume @p77 (forall @t182 (=> @t130 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t181 @t178) (tptp.c_Groups_Oplus__class_Oplus @t22 @t180 @t179))))) % 1.13/1.34 (assume @p78 (forall @t182 (=> @t130 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t183 @t178) (tptp.c_Groups_Ominus__class_Ominus @t22 @t180 @t179))))) % 1.13/1.34 (assume @p79 (forall @t61 (not (= @t60 tptp.c_Int_OPls)))) % 1.13/1.34 (assume @p80 (forall @t184 (not (= tptp.c_Int_OPls @t134)))) % 1.13/1.34 (assume @p81 (forall @t109 (not (= @t60 @t107)))) % 1.13/1.34 (assume @p82 (forall @t109 (not (= @t108 @t134)))) % 1.13/1.34 (assume @p83 (forall @t136 (= (= @t121 tptp.c_Int_OPls) (= @t89 tptp.c_Int_OPls)))) % 1.13/1.34 (assume @p84 (forall (@list @t88) (= (= tptp.c_Int_OPls @t120) (= tptp.c_Int_OPls @t88)))) % 1.13/1.34 (assume @p85 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.13/1.34 (assume @p86 (forall @t188 (=> @t57 (= @t187 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t185))))) % 1.13/1.34 (assume @p87 (forall @t191 (=> @t130 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t190 @t74) (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t189))))) % 1.13/1.34 (assume @p88 (forall @t141 (=> @t57 (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t190) @t140)))) % 1.13/1.34 (assume @p89 (forall @t68 (=> @t57 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t63) @t63)))) % 1.13/1.34 (assume @p90 (forall (@list @t192 @t28 @t32 @t22) (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t33 (tptp.c_Groups_Ominus__class_Ominus @t22 @t29 @t192)) (tptp.c_Groups_Ominus__class_Ominus @t22 @t170 @t192))))) % 1.13/1.34 (assume @p91 (forall @t68 (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t139 @t62) @t62)))) % 1.13/1.34 (assume @p92 (forall @t68 (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t139) @t62)))) % 1.13/1.34 (assume @p93 (forall @t198 (=> @t57 (=> @t197 (=> @t196 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t194 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t127 @t193))))))) % 1.13/1.34 (assume @p94 (forall @t27 (=> @t49 (= (tptp.c_RealVector_Onorm__class_Onorm @t22 @t24) @t44)))) % 1.13/1.34 (assume @p95 (forall @t188 (=> (and @t151 @t130) @t155))) % 1.13/1.34 (assume @p96 (forall @t31 (=> @t26 (= (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Int_OBit1 @t28)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t30 @t29))))) % 1.13/1.34 (assume @p97 (forall @t27 (=> @t26 (= @t145 @t24)))) % 1.13/1.34 (assume @p98 (forall @t141 (=> @t147 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t73 @t145) @t73)))) % 1.13/1.34 (assume @p99 (forall @t68 (=> @t147 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t145) @t62)))) % 1.13/1.34 (assume @p100 (exists @t202 (and @t201 @t200))) % 1.13/1.34 (assume @p101 (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 @t204 @t4)) @t11)) % 1.13/1.34 (assume @p102 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t207 @t206)) % 1.13/1.34 (assume @p103 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t207 @t209)) % 1.13/1.34 (assume @p104 (forall @t27 (=> @t168 (tptp.c_Orderings_Oord__class_Oless @t22 @t56 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t24 @t23))))) % 1.13/1.34 (assume @p105 (forall @t211 (= (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 @t152 @t62) @t8) @t62) @t210))) % 1.13/1.34 (assume @p106 (forall (@list @t152 @t62) (= (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 @t62 @t152) @t8) @t62) @t210))) % 1.13/1.34 (assume @p107 (forall @t76 (=> @t214 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t213 @t74)))) % 1.13/1.34 (assume @p108 (forall @t76 (=> @t214 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t73 @t213)))) % 1.13/1.34 (assume @p109 (forall (@list @t215) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t3 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p (tptp.v_g____ @t215)))))) % 1.13/1.34 (assume @p110 (forall @t217 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t216 @t216) @t73))) % 1.13/1.34 (assume @p111 (forall @t217 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t218)))) % 1.13/1.34 (assume @p112 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 @t44)) % 1.13/1.34 (assume @p113 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.13/1.34 (assume @p114 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t44)) % 1.13/1.34 (assume @p115 (forall (@list @t219 @t73 @t220) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t220 @t73) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t220 @t219)) (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 @t73 @t220)) @t219))))) % 1.13/1.34 (assume @p116 @t221) % 1.13/1.34 (assume @p117 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t205)) % 1.13/1.34 (assume @p118 (forall @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t223))) % 1.13/1.34 (assume @p119 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t209 @t206)) % 1.13/1.34 (assume @p120 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t3 @t207)) % 1.13/1.34 (assume @p121 (forall @t15 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t46) tptp.v_r))) % 1.13/1.34 (assume @p122 (forall @t15 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat tptp.v_N1____ @t14) @t226))) % 1.13/1.34 (assume @p123 (not (= @t227 @t59))) % 1.13/1.34 (assume @p124 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t227) @t227)) % 1.13/1.34 (assume @p125 (forall @t61 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t58) @t58))) % 1.13/1.34 (assume @p126 (forall (@list @t102) (and (=> @t229 (= @t228 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t102))) (=> (not @t229) (= @t228 @t102))))) % 1.13/1.34 (assume @p127 (forall @t231 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t230) @t69))) % 1.13/1.34 (assume @p128 (forall @t232 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t85) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t176)))) % 1.13/1.34 (assume @p129 (forall @t72 (=> @t235 (=> @t234 @t233)))) % 1.13/1.34 (assume @p130 (forall @t104 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t102 @t101) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t101 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t102 @t58))))) % 1.13/1.34 (assume @p131 (forall @t72 (or @t235 @t234))) % 1.13/1.34 (assume @p132 (forall @t232 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28 @t28))) % 1.13/1.34 (assume @p133 (forall @t163 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t41 @t36) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 @t35))))) % 1.13/1.34 (assume @p134 (forall @t87 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t86 @t85) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t236)))) % 1.13/1.34 (assume @p135 (forall @t72 (= @t238 @t237))) % 1.13/1.34 (assume @p136 (forall @t72 (= @t237 @t238))) % 1.13/1.34 (assume @p137 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t77) @t59) (= @t77 @t227)))) % 1.13/1.34 (assume @p138 (forall @t93 (= @t90 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t89 @t88) @t227)))) % 1.13/1.34 (assume @p139 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t230 @t69) @t227))) % 1.13/1.34 (assume @p140 (forall @t242 (= @t241 (and @t240 (not @t162))))) % 1.13/1.34 (assume @p141 (forall @t242 (= @t240 (or @t241 @t162)))) % 1.13/1.34 (assume @p142 (forall @t81 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t73 @t74) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t69 @t73) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t69 @t74))))) % 1.13/1.34 (assume @p143 (forall @t247 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t246 @t12) @t245))) % 1.13/1.34 (assume @p144 (forall @t61 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t58 tptp.c_Int_OPls) @t58))) % 1.13/1.34 (assume @p145 (forall @t109 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t108 @t107) @t249))) % 1.13/1.34 (assume @p146 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.13/1.34 (assume @p147 (forall @t61 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t108) (tptp.c_Int_OBit0 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t58))))) % 1.13/1.34 (assume @p148 (forall @t72 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t71) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t230 @t176)))) % 1.13/1.34 (assume @p149 (= tptp.c_Int_OPls @t227)) % 1.13/1.34 (assume @p150 (= @t227 @t250)) % 1.13/1.34 (assume @p151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t59)) % 1.13/1.34 (assume @p152 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 @t227) @t69))) % 1.13/1.34 (assume @p153 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t227 @t69) @t69))) % 1.13/1.34 (assume @p154 (forall @t231 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t251 @t69) @t227)))) % 1.13/1.34 (assume @p155 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t40 @t35)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t35)) (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t12)))))) % 1.13/1.34 (assume @p156 (forall @t242 (= @t240 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t40 @t35) @t12)))) % 1.13/1.34 (assume @p157 (forall @t39 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t36) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t35))))) % 1.13/1.34 (assume @p158 (forall @t42 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t41 @t56) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 tptp.c_Int_OPls))))) % 1.13/1.34 (assume @p159 (forall @t247 (= (= @t246 @t12) @t245))) % 1.13/1.34 (assume @p160 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t243) @t12)) % 1.13/1.34 (assume @p161 (forall (@list @t169 @t40) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t40) @t169) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t169) @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t169))))) % 1.13/1.34 (assume @p162 (forall @t39 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t24 @t36) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t6 @t35))))) % 1.13/1.34 (assume @p163 (forall @t42 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t41 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 @t6))))) % 1.13/1.34 (assume @p164 (forall @t109 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t60 @t107) (tptp.c_Int_OBit1 @t248)))) % 1.13/1.34 (assume @p165 (forall @t109 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t60 @t134) @t249))) % 1.13/1.34 (assume @p166 (forall @t184 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t107) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t105))))) % 1.13/1.34 (assume @p167 (forall (@list @t47 @t252 @t22) (=> (and @t165 (tptp.class_Orderings_Olinorder @t22)) (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t253 @t164) (not (tptp.c_Orderings_Oord__class_Oless @t22 @t164 @t253)))))) % 1.13/1.34 (assume @p168 (forall @t141 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t140)))) % 1.13/1.34 (assume @p169 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t255 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t254)))) % 1.13/1.34 (assume @p170 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t255) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t254 @t35)))) % 1.13/1.34 (assume @p171 (forall @t259 (= @t258 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t246 @t44) @t257)))) % 1.13/1.34 (assume @p172 (forall @t247 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t246) @t260))) % 1.13/1.34 (assume @p173 (forall (@list @t220 @t105 @t74 @t73) (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 @t212 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t262 @t261))) (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 @t73 @t262)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t74 @t261)))))) % 1.13/1.34 (assume @p174 (forall @t264 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t28) (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 @t28 @t69)) @t263)))) % 1.13/1.34 (assume @p175 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t265) @t44)) % 1.13/1.34 (assume @p176 (forall @t48 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t47) @t227) @t266))) % 1.13/1.34 (assume @p177 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t227))) % 1.13/1.34 (assume @p178 (forall @t48 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t47) @t227) @t266))) % 1.13/1.34 (assume @p179 (forall @t239 (= (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 @t59 @t77) @t77) @t227) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t77 @t227)))) % 1.13/1.34 (assume @p180 (forall @t173 (=> @t26 (= @t174 @t267)))) % 1.13/1.34 (assume @p181 (forall @t42 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t12) @t82)))) % 1.13/1.34 (assume @p182 (forall @t191 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t194 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t140 @t195))))) % 1.13/1.34 (assume @p183 (forall @t188 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t187 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t63 @t153))))) % 1.13/1.34 (assume @p184 (forall @t188 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t269 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t268))))) % 1.13/1.34 (assume @p185 (forall @t188 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t269 @t187)))) % 1.13/1.34 (assume @p186 (forall @t259 (= (= @t246 @t257) @t270))) % 1.13/1.34 (assume @p187 (forall (@list @t28 @t192 @t32 @t22) (=> @t26 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t33 (tptp.c_Groups_Ominus__class_Ominus @t22 @t192 @t29)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t267 @t192))))) % 1.13/1.34 (assume @p188 (forall @t276 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 @t275) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 @t273) (tptp.c_RealVector_Onorm__class_Onorm @t22 @t272)))))) % 1.13/1.34 (assume @p189 (forall @t188 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t269) @t187)))) % 1.13/1.34 (assume @p190 (forall @t31 (=> @t26 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t24 @t29) (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t6 @t176)))))) % 1.13/1.34 (assume @p191 (forall @t34 (=> @t26 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t33 @t24) (tptp.c_Int_Onumber__class_Onumber__of @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t6))))))) % 1.13/1.34 (assume @p192 (forall @t280 (=> @t279 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t278 @t277) (tptp.c_Groups_Oplus__class_Oplus @t22 @t186 (tptp.c_Groups_Ominus__class_Ominus @t22 @t192 @t271)))))) % 1.13/1.34 (assume @p193 (not (= @t12 @t44))) % 1.13/1.34 (assume @p194 (forall @t259 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t246 @t257) @t258))) % 1.13/1.34 (assume @p195 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t281) @t44)) % 1.13/1.34 (assume @p196 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t12) @t12)) % 1.13/1.34 (assume @p197 (forall @t217 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t282) @t282))) % 1.13/1.34 (assume @p198 (forall @t163 (=> @t284 (= @t283 (= @t35 (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t40)))))) % 1.13/1.34 (assume @p199 (forall @t224 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t223 @t12)))) % 1.13/1.34 (assume @p200 (forall (@list @t122 @t40) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t40 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t122)) @t12) (= @t40 @t122)))) % 1.13/1.34 (assume @p201 (forall @t242 (= (= @t255 @t12) (= @t35 @t254)))) % 1.13/1.34 (assume @p202 (forall @t287 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t286) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t285 @t223)))) % 1.13/1.34 (assume @p203 (forall (@list @t193 @t127) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t127 @t193) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t127 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t193))))) % 1.13/1.34 (assume @p204 (forall @t76 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t73 @t74) @t288))) % 1.13/1.34 (assume @p205 (forall @t76 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t288) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t74 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t73)))))) % 1.13/1.34 (assume @p206 (forall (@list @t169 @t122 @t40 @t22) (=> @t37 (= (tptp.c_Orderings_Oord__class_Oless @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t40 @t122)) @t169) (and (tptp.c_Orderings_Oord__class_Oless @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t122 @t169) @t40) (tptp.c_Orderings_Oord__class_Oless @t22 @t40 (tptp.c_Groups_Oplus__class_Oplus @t22 @t122 @t169))))))) % 1.13/1.34 (assume @p207 (forall @t224 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t290))) % 1.13/1.34 (assume @p208 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t255) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t254 @t35)))) % 1.13/1.34 (assume @p209 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t255 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t254)))) % 1.13/1.34 (assume @p210 (forall @t224 (= @t290 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t223 @t44)))) % 1.13/1.34 (assume @p211 (forall (@list @t62) (and (=> @t292 (= @t291 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t62))) (=> (not @t292) (= @t291 @t62))))) % 1.13/1.34 (assume @p212 (forall @t129 (and (=> @t293 (= @t128 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t127))) (=> (not @t293) (= @t128 @t127))))) % 1.13/1.34 (assume @p213 (forall @t217 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t218 @t44) @t73)))) % 1.13/1.34 (assume @p214 (forall (@list @t256 @t294 @t296 @t122) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t122 @t296) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t295 @t296) (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t8 @t296) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t295 @t122))))))) % 1.13/1.34 (assume @p215 (forall (@list @t73 @t127 @t22) (=> @t67 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t127 @t140) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t127) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t22 (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t73)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t127))))))) % 1.13/1.34 (assume @p216 (forall @t305 (=> @t304 (= @t303 (exists @t301 (forall @t15 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t300 @t298))))))) % 1.13/1.34 (assume @p217 (forall @t305 (=> @t304 (= @t303 (exists @t301 (forall @t15 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t300 @t298))))))) % 1.13/1.34 (assume @p218 (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)) % 1.13/1.34 (assume @p219 (forall (@list @t40 @t306) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t306) tptp.v_r) (=> (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t306)) @t254) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 @t44))))) % 1.13/1.34 (assume @p220 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1 @t203)) % 1.13/1.34 (assume @p221 (forall @t231 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t263 tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t3 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t69)))))) % 1.13/1.34 (assume @p222 (not (forall @t202 (=> @t201 (not @t200))))) % 1.13/1.34 (assume @p223 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t307) tptp.v_r) (= @t308 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t308))))) % 1.13/1.34 (assume @p224 (forall (@list @t309) (= (exists @t316 (and (exists @t315 (and @t314 (= @t313 @t311))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t309 @t310))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t309 tptp.v_s____)))) % 1.13/1.34 (assume @p225 (forall (@list @t317) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t317) (exists @t301 (forall @t15 (=> @t318 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t225 @t317))))))) % 1.13/1.34 (assume @p226 (forall @t232 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t28 @t28))) % 1.13/1.34 (assume @p227 (forall @t72 (or @t320 @t319))) % 1.13/1.34 (assume @p228 (forall @t104 (=> @t321 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t102 @t58))))) % 1.13/1.34 (assume @p229 (forall @t72 (=> @t320 (=> @t319 @t233)))) % 1.13/1.34 (assume @p230 (forall (@list @t244 @t322) (=> @t323 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t244 (tptp.hAPP @t322 @t244))))) % 1.13/1.34 (assume @p231 (forall @t98 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t96 @t95) @t94) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t96 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t95 @t94))))) % 1.13/1.34 (assume @p232 (forall @t72 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t69 @t28) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t28 @t69)))) % 1.13/1.34 (assume @p233 (forall @t171 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t33 (tptp.c_Groups_Otimes__class_Otimes @t22 @t29 @t69)) (tptp.c_Groups_Otimes__class_Otimes @t22 @t325 @t69))))) % 1.13/1.34 (assume @p234 (forall @t173 (=> @t26 (= @t326 @t325)))) % 1.13/1.34 (assume @p235 (forall @t173 (=> @t26 (= @t325 @t326)))) % 1.13/1.34 (assume @p236 (forall @t191 (=> @t67 (= @t329 @t327)))) % 1.13/1.34 (assume @p237 (forall @t332 (= @t323 (forall (@list @t331 @t14) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t331 @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t322 @t331) @t330)))))) % 1.13/1.34 (assume @p238 (forall @t332 (= @t323 (forall @t15 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t330 (tptp.hAPP @t322 @t43)))))) % 1.13/1.34 (assume @p239 (forall @t191 (=> @t333 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t329 @t327)))) % 1.13/1.34 (assume @p240 (forall @t198 (=> @t333 (=> @t197 (=> @t196 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t329 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t127 @t193))))))) % 1.13/1.34 (assume @p241 (forall (@list @t152 @t22) (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t56 @t152) @t56)))) % 1.13/1.34 (assume @p242 (forall @t131 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t56 @t74) @t56)))) % 1.13/1.34 (assume @p243 (forall @t68 (=> @t333 @t334))) % 1.13/1.34 (assume @p244 (forall @t141 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t56) @t56)))) % 1.13/1.34 (assume @p245 (forall @t182 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t181 @t178) (tptp.c_Groups_Oplus__class_Oplus @t22 @t336 @t335))))) % 1.13/1.34 (assume @p246 (forall @t340 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t337) @t152) (tptp.c_Groups_Oplus__class_Oplus @t22 @t339 @t338))))) % 1.13/1.34 (assume @p247 (forall @t344 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t341 @t181) (tptp.c_Groups_Oplus__class_Oplus @t22 @t343 @t342))))) % 1.13/1.34 (assume @p248 (forall @t347 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 (tptp.c_Groups_Oplus__class_Oplus @t22 @t152 @t345)) (tptp.c_Groups_Oplus__class_Oplus @t22 @t339 @t346))))) % 1.13/1.34 (assume @p249 (forall @t182 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t183 @t178) (tptp.c_Groups_Ominus__class_Ominus @t22 @t336 @t335))))) % 1.13/1.34 (assume @p250 (forall @t340 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t337) @t152) (tptp.c_Groups_Ominus__class_Ominus @t22 @t339 @t338))))) % 1.13/1.34 (assume @p251 (forall @t344 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t341 @t183) (tptp.c_Groups_Ominus__class_Ominus @t22 @t343 @t342))))) % 1.13/1.34 (assume @p252 (forall @t347 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 (tptp.c_Groups_Ominus__class_Ominus @t22 @t152 @t345)) (tptp.c_Groups_Ominus__class_Ominus @t22 @t339 @t346))))) % 1.13/1.34 (assume @p253 (forall @t191 (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t190 @t74) (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t328))))) % 1.13/1.34 (assume @p254 (forall @t188 (=> @t333 (= @t350 @t348)))) % 1.13/1.34 (assume @p255 (forall (@list @t73 @t341 @t22) (=> @t333 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t341 @t190) (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t343))))) % 1.13/1.34 (assume @p256 (forall @t188 (=> @t333 (= @t352 @t348)))) % 1.13/1.34 (assume @p257 (forall @t356 (=> @t355 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t122 @t354) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t294 @t354)) @t353)))) % 1.13/1.34 (assume @p258 (forall @t356 (=> @t355 (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t354 @t122) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t354 @t294)) @t353)))) % 1.13/1.34 (assume @p259 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t114 @t113) @t357))) % 1.13/1.34 (assume @p260 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t117 @t116) @t358))) % 1.13/1.34 (assume @p261 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.13/1.34 (assume @p262 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119 @t118) @t357))) % 1.13/1.34 (assume @p263 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t121 @t120) @t358))) % 1.13/1.34 (assume @p264 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t88) (exists @t15 (= @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t14)))))) % 1.13/1.34 (assume @p265 (forall (@list @t47 @t77) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t77 @t47) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t77 @t47) (not (= @t77 @t47)))))) % 1.13/1.34 (assume @p266 (forall @t104 (=> @t321 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t102) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t101))))) % 1.13/1.34 (assume @p267 (forall @t231 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t44 @t69) @t69))) % 1.13/1.34 (assume @p268 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t92 @t91) @t358))) % 1.13/1.34 (assume @p269 (forall @t359 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t96 @t95) @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t96 @t28) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t95 @t28))))) % 1.13/1.34 (assume @p270 (forall @t364 (=> @t363 (= (tptp.c_Groups_Otimes__class_Otimes @t142 (tptp.c_Groups_Oplus__class_Oplus @t142 @t62 @t152) @t360) (tptp.c_Groups_Oplus__class_Oplus @t142 @t362 @t361))))) % 1.13/1.34 (assume @p271 (forall @t367 (=> @t363 (= (tptp.c_Groups_Otimes__class_Otimes @t142 @t360 (tptp.c_Groups_Oplus__class_Oplus @t142 @t152 @t192)) (tptp.c_Groups_Oplus__class_Oplus @t142 @t366 @t365))))) % 1.13/1.34 (assume @p272 (forall @t372 (=> @t333 (= @t371 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t369 @t368) @t370) (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t368)))))) % 1.13/1.34 (assume @p273 (forall @t372 (=> @t373 (= @t371 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t73 @t368) @t370))))) % 1.13/1.34 (assume @p274 (forall @t364 (=> @t374 (= (tptp.c_Groups_Otimes__class_Otimes @t142 (tptp.c_Groups_Ominus__class_Ominus @t142 @t62 @t152) @t360) (tptp.c_Groups_Ominus__class_Ominus @t142 @t362 @t361))))) % 1.13/1.34 (assume @p275 (forall @t367 (=> @t374 (= (tptp.c_Groups_Otimes__class_Otimes @t142 @t360 (tptp.c_Groups_Ominus__class_Ominus @t142 @t152 @t192)) (tptp.c_Groups_Ominus__class_Ominus @t142 @t366 @t365))))) % 1.13/1.34 (assume @p276 (forall @t378 (=> @t377 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t376 @t375) @t241)))) % 1.13/1.34 (assume @p277 (forall @t76 (=> @t379 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t74) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t73 @t74)))))) % 1.13/1.34 (assume @p278 (forall (@list @t74 @t73 @t69) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t69) (=> @t214 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t69 @t73) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t69 @t74)))))) % 1.13/1.34 (assume @p279 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t117) @t380))) % 1.13/1.34 (assume @p280 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119 @t113) @t357))) % 1.13/1.34 (assume @p281 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t121 @t116) @t358))) % 1.13/1.34 (assume @p282 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t121 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t89 tptp.c_Int_OPls)))) % 1.13/1.34 (assume @p283 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t121) @t380))) % 1.13/1.34 (assume @p284 (forall @t242 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t382 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t35 @t35)) @t12) (and @t381 (= @t35 @t12))))) % 1.13/1.34 (assume @p285 (forall @t259 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t246 @t257) @t383))) % 1.13/1.34 (assume @p286 (forall (@list @t73 @t384) (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 @t384 @t384)) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t73 @t73)))) % 1.13/1.34 (assume @p287 (forall @t239 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t59 @t77) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t77)))) % 1.13/1.34 (assume @p288 (forall (@list @t69 @t385 @t28 @t386) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t386 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t385 @t69) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t386 @t385) @t70))))) % 1.13/1.34 (assume @p289 (forall (@list @t294 @t122 @t322) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t387 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t389 @t122)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t388 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t389 @t294))))) % 1.13/1.34 (assume @p290 (forall @t392 (=> @t391 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t390) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t285 @t223))))) % 1.13/1.34 (assume @p291 (forall (@list @t393 @t394) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t394 @t393) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t394 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t393))))) % 1.13/1.34 (assume @p292 (forall @t76 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t73 @t74) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t73 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t74))))) % 1.13/1.34 (assume @p293 (forall @t141 (=> (tptp.class_Rings_Oring__1 @t22) (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t395 @t24) (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t73 @t24) (tptp.c_Groups_Ominus__class_Ominus @t22 @t73 @t24)))))) % 1.13/1.34 (assume @p294 (forall @t402 (=> @t401 (= (= @t400 @t122) (and (=> @t399 (= @t294 @t398)) @t397))))) % 1.13/1.34 (assume @p295 (forall @t408 (=> @t401 (= (= @t407 @t164) (and (=> @t406 (= @t294 @t405)) @t404))))) % 1.13/1.34 (assume @p296 (forall @t409 (=> @t401 (= (= @t164 @t407) (and (=> @t406 (= @t405 @t294)) @t404))))) % 1.13/1.34 (assume @p297 (forall @t410 (=> @t401 (= (= @t122 @t400) (and (=> @t399 (= @t398 @t294)) @t397))))) % 1.13/1.34 (assume @p298 (forall (@list @t411 @t271 @t192 @t152 @t62 @t22) (=> (tptp.class_RealVector_Oreal__field @t22) (= (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t339 @t412) @t411) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t272 @t411)) (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t273 @t411) @t271)))))) % 1.13/1.34 (assume @p299 (forall @t68 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t145 @t62) @t62)))) % 1.13/1.34 (assume @p300 (forall @t68 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t145) @t62)))) % 1.13/1.34 (assume @p301 (forall @t378 (=> @t377 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t376 @t375) @t240)))) % 1.13/1.34 (assume @p302 (forall @t378 (=> @t377 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t77 @t40) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t77 @t35)) @t240)))) % 1.13/1.34 (assume @p303 (forall (@list @t69 @t28 @t22) (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t175 @t69) (tptp.c_Groups_Otimes__class_Otimes @t22 @t177 @t69))))) % 1.13/1.34 (assume @p304 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t117 tptp.c_Int_OPls) @t135))) % 1.13/1.34 (assume @p305 (forall @t136 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t117) @t380))) % 1.13/1.34 (assume @p306 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t114 @t118) @t112))) % 1.13/1.34 (assume @p307 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t117 @t120) @t90))) % 1.13/1.34 (assume @p308 (forall @t115 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t113) @t357))) % 1.13/1.34 (assume @p309 (forall @t93 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t116) @t358))) % 1.13/1.34 (assume @p310 (forall (@list @t74 @t73 @t192) (=> @t414 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t218 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t192 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t74))) @t413)))) % 1.13/1.34 (assume @p311 (forall @t80 (= @t79 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t47 @t77)))) % 1.13/1.34 (assume @p312 (forall @t80 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t47 @t59) @t77) @t78))) % 1.13/1.34 (assume @p313 (forall @t264 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t28 @t69) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t59) @t69)))) % 1.13/1.34 (assume @p314 (forall @t231 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t69) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t251)))) % 1.13/1.34 (assume @p315 (forall @t80 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t47 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t77 @t59)) @t78))) % 1.13/1.34 (assume @p316 (forall @t217 (=> (not @t413) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t415 @t73) @t44)))) % 1.13/1.34 (assume @p317 (forall @t402 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t400 @t122) (and (=> @t420 @t422) (=> @t421 (and (=> @t417 @t419) (=> @t418 @t416)))))))) % 1.13/1.34 (assume @p318 (forall @t408 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t407 @t164) (and (=> @t427 @t429) (=> @t428 (and (=> @t424 @t426) (=> @t425 @t420)))))))) % 1.13/1.34 (assume @p319 (forall @t409 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t164 @t407) (and (=> @t427 @t426) (=> @t428 (and (=> @t424 @t429) (=> @t425 @t417)))))))) % 1.13/1.34 (assume @p320 (forall @t410 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t400) (and (=> @t420 @t419) (=> @t421 (and (=> @t417 @t422) (=> @t418 @t137)))))))) % 1.13/1.34 (assume @p321 (forall @t31 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t25 @t29) @t150)))) % 1.13/1.34 (assume @p322 (forall @t188 (=> @t432 (=> @t100 (=> @t157 (= @t431 (tptp.c_Groups_Ouminus__class_Ouminus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 @t186) @t430)))))))) % 1.13/1.34 (assume @p323 (forall (@list @t74 @t73 @t192 @t22) (=> @t57 (=> @t414 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t140 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t192 @t195)) (= @t73 @t56)))))) % 1.13/1.34 (assume @p324 (forall @t259 (= @t383 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t246 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t257 @t44))))) % 1.13/1.34 (assume @p325 (forall @t402 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t400 @t122) (and (=> @t420 @t435) (=> @t421 (and (=> @t417 @t434) (=> @t418 @t433)))))))) % 1.13/1.34 (assume @p326 (forall @t408 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t407 @t164) (and (=> @t427 @t437) (=> @t428 (and (=> @t424 @t436) (=> @t425 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t164))))))))) % 1.13/1.34 (assume @p327 (forall @t409 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t164 @t407) (and (=> @t427 @t436) (=> @t428 (and (=> @t424 @t437) (=> @t425 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t164 @t56))))))))) % 1.13/1.34 (assume @p328 (forall @t410 (=> @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t400) (and (=> @t420 @t434) (=> @t421 (and (=> @t417 @t435) (=> @t418 @t438)))))))) % 1.13/1.34 (assume @p329 (forall @t440 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t23 @t69) @t439)))) % 1.13/1.34 (assume @p330 (forall @t440 (=> @t26 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t69 @t23) @t439)))) % 1.13/1.34 (assume @p331 (forall (@list @t411 @t152 @t62 @t22) (=> @t130 (=> @t100 (=> @t157 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t431 @t411) (tptp.c_Groups_Ouminus__class_Ouminus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t186 @t411)) @t430)))))))) % 1.13/1.34 (assume @p332 (forall (@list @t77 @t35 @t40) (= (= @t40 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t35 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t8 @t77))) (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t8 @t40) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t35 @t77))))) % 1.13/1.34 (assume @p333 (forall @t247 (exists @t315 (and @t314 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t313 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t3 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t441)))))))) % 1.13/1.34 (assume @p334 (exists (@list @t442) (forall @t316 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t443) 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 @t443)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t3 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t44 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t310))))))))) % 1.13/1.34 (assume @p335 (forall @t15 (exists @t315 (and @t314 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t313 @t45))))) % 1.13/1.34 (assume @p336 (exists @t301 (forall @t15 (=> @t318 @t226)))) % 1.13/1.34 (assume @p337 (= (exists @t315 (and @t314 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t313 @t3))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t3))) % 1.13/1.34 (assume @p338 (forall @t445 (= (exists @t315 (and @t314 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t313 @t35))) @t444))) % 1.13/1.34 (assume @p339 (forall @t445 (= (exists @t315 (and @t314 (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 @t313)) @t35))) @t444))) % 1.13/1.34 (assume @p340 (forall @t98 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t96 @t95) @t94) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t96 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t95 @t94))))) % 1.13/1.34 (assume @p341 (forall @t72 (= @t446 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t69)))) % 1.13/1.34 (assume @p342 (forall @t232 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint tptp.c_Int_OPls @t28) tptp.c_Int_OPls))) % 1.13/1.34 (assume @p343 (forall @t109 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t108 @t105) @t447))) % 1.13/1.34 (assume @p344 (forall @t231 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t59 @t69) @t69))) % 1.13/1.34 (assume @p345 (forall @t231 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t69 @t59) @t69))) % 1.13/1.34 (assume @p346 (forall @t359 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t97 @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t449 @t448)))) % 1.13/1.34 (assume @p347 (forall @t452 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t97) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t451 @t450)))) % 1.13/1.34 (assume @p348 (forall @t87 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t86 @t85) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t324)))) % 1.13/1.34 (assume @p349 (forall @t72 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t230 @t28) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t446)))) % 1.13/1.34 (assume @p350 (forall @t452 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t28 @t453) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t451 @t450)))) % 1.13/1.34 (assume @p351 (forall @t359 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t453 @t28) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t449 @t448)))) % 1.13/1.34 (assume @p352 (forall @t104 (=> @t103 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t58 @t102) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t58 @t101)))))) % 1.13/1.34 (assume @p353 (forall @t287 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t454) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t285 @t223)))) % 1.13/1.34 (assume @p354 (forall @t287 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t220 @t222)) @t59) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t220) @t59)))) % 1.13/1.34 (assume @p355 (forall @t109 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t60 @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t447 @t105)))) % 1.13/1.34 (assume @p356 (forall @t455 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t227 @t256) (= (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t256 @t244) @t59) (and (= @t256 @t59) (= @t244 @t59)))))) % 1.13/1.34 (assume @p357 (exists @t315 (forall @t316 (=> (exists (@list @t456) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t456) tptp.v_r) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p @t456)) @t311))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t310 @t312))))) % 1.13/1.34 (assume @p358 (=> (not @t221) (exists @t315 (forall @t55 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t50) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t313 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t51))))))) % 1.13/1.34 (assume @p359 (forall @t217 (=> @t458 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t73 @t457) (or (= @t73 @t227) (= @t73 @t59)))))) % 1.13/1.34 (assume @p360 (forall @t224 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t289))) % 1.13/1.34 (assume @p361 (forall (@list @t73 @t69 @t271) (=> @t460 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t69 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 @t459))))) % 1.13/1.34 (assume @p362 (forall (@list @t69 @t73 @t271) (=> @t460 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t73 @t459) @t69)))) % 1.13/1.34 (assume @p363 (forall @t224 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t243)))) % 1.13/1.34 (assume @p364 (forall @t287 (=> @t463 @t462))) % 1.13/1.34 (assume @p365 (forall @t224 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t289))) % 1.13/1.34 (assume @p366 (forall @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t243 @t222))) % 1.13/1.34 (assume @p367 (forall @t287 (= @t454 @t464))) % 1.13/1.34 (assume @p368 (forall @t466 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t454 @t58) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t465)))) % 1.13/1.34 (assume @p369 (forall @t472 (= (= @t471 @t470) @t469))) % 1.13/1.34 (assume @p370 (forall @t476 (= @t475 @t469))) % 1.13/1.34 (assume @p371 (forall @t455 (= (= @t478 @t243) (or @t477 @t245)))) % 1.13/1.34 (assume @p372 (forall @t479 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t243) @t243))) % 1.13/1.34 (assume @p373 (forall @t224 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t243 @t222) @t243))) % 1.13/1.34 (assume @p374 (forall @t76 (=> (= (tptp.c_Nat_OSuc @t73) (tptp.c_Nat_OSuc @t74)) @t75))) % 1.13/1.34 (assume @p375 (forall (@list @t480 @t481) (= (= (tptp.c_Nat_OSuc @t481) (tptp.c_Nat_OSuc @t480)) (= @t481 @t480)))) % 1.13/1.34 (assume @p376 (forall @t224 (not (= @t289 @t222)))) % 1.13/1.34 (assume @p377 (forall @t224 (not (= @t222 @t289)))) % 1.13/1.34 (assume @p378 (forall @t476 (= (= @t484 @t483) @t468))) % 1.13/1.34 (assume @p379 (forall (@list @t485 @t244 @t256) (=> (=> @t487 @t486) (=> (=> @t468 @t486) (=> (=> @t258 @t486) @t486))))) % 1.13/1.34 (assume @p380 (forall (@list @t488 @t193) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t193 @t488) (not (= @t193 @t488))))) % 1.13/1.34 (assume @p381 (forall @t392 (=> @t491 @t490))) % 1.13/1.34 (assume @p382 (forall @t224 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t222)))) % 1.13/1.34 (assume @p383 (forall @t76 (=> @t492 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t73 @t74)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t74 @t73))))) % 1.13/1.34 (assume @p384 (forall @t455 (= @t493 (or @t487 @t258)))) % 1.13/1.34 (assume @p385 (forall @t472 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t256 @t89) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t244 @t89)) @t468))) % 1.13/1.34 (assume @p386 (forall @t476 (= (= @t495 @t494) @t468))) % 1.13/1.34 (assume @p387 (forall @t466 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t286 @t58) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t496)))) % 1.13/1.34 (assume @p388 (forall @t81 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t73 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t74 @t69)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t74 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t73 @t69))))) % 1.13/1.34 (assume @p389 (forall @t287 (= @t286 @t497))) % 1.13/1.34 (assume @p390 (forall @t500 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t286) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t499 @t498)))) % 1.13/1.34 (assume @p391 (forall @t466 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t286 @t58) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t501 @t465)))) % 1.13/1.34 (assume @p392 (forall @t287 (=> @t502 (=> @t391 @t489)))) % 1.13/1.34 (assume @p393 (forall @t104 (=> @t503 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t58))))) % 1.13/1.34 (assume @p394 (forall @t287 (=> @t489 @t502))) % 1.13/1.34 (assume @p395 (forall @t287 (or @t502 @t391))) % 1.13/1.34 (assume @p396 (forall @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t222))) % 1.13/1.34 (assume @p397 (forall @t479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 @t504))) % 1.13/1.34 (assume @p398 (forall @t479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t504)))) % 1.13/1.34 (assume @p399 (forall @t104 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t506 @t505)))) % 1.13/1.34 (assume @p400 (forall @t104 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t508 @t507)))) % 1.13/1.34 (assume @p401 (forall @t510 (=> @t503 (=> @t509 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t506 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t101 @t105)))))) % 1.13/1.34 (assume @p402 (forall @t104 (= @t512 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t58) @t101)))) % 1.13/1.34 (assume @p403 (forall @t466 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t390 @t58) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t501 @t465)))) % 1.13/1.34 (assume @p404 (forall @t500 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t58 @t390) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t499 @t498)))) % 1.13/1.34 (assume @p405 (forall @t455 (= (= @t478 @t281) @t513))) % 1.13/1.34 (assume @p406 (forall @t224 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t222 @t281) @t222))) % 1.13/1.34 (assume @p407 (forall @t455 (= (= @t281 @t478) @t513))) % 1.13/1.34 (assume @p408 (forall @t224 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t281 @t222) @t222))) % 1.13/1.34 (assume @p409 (forall @t479 (not (= @t461 @t243)))) % 1.13/1.34 (assume @p410 (forall @t479 (not (= @t243 @t461)))) % 1.13/1.34 (assume @p411 (forall (@list @t514) (not (= (tptp.c_Nat_OSuc @t514) @t243)))) % 1.13/1.34 (assume @p412 (forall (@list @t515) (not (= @t243 (tptp.c_Nat_OSuc @t515))))) % 1.13/1.34 (assume @p413 (forall @t455 (= (= @t478 @t265) (and @t517 @t516)))) % 1.13/1.34 (assume @p414 (forall @t247 (= (not @t245) @t260))) % 1.13/1.34 (assume @p415 (forall @t287 (=> @t463 @t519))) % 1.13/1.34 (assume @p416 (forall @t224 (=> @t519 @t520))) % 1.13/1.34 (assume @p417 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t478) (and @t521 @t260)))) % 1.13/1.34 (assume @p418 (forall @t476 (= @t524 @t523))) % 1.13/1.34 (assume @p419 (forall @t472 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t471 @t470) @t523))) % 1.13/1.34 (assume @p420 (forall @t104 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t506 @t505))))) % 1.13/1.34 (assume @p421 (forall @t104 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t508 @t507))))) % 1.13/1.34 (assume @p422 (forall @t287 (=> @t462 @t463))) % 1.13/1.34 (assume @p423 (forall @t287 (=> @t527 @t463))) % 1.13/1.34 (assume @p424 (forall @t287 (=> @t529 (=> @t528 @t489)))) % 1.13/1.34 (assume @p425 (forall @t104 (=> @t526 (=> @t531 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t58))))) % 1.13/1.34 (assume @p426 (forall @t287 (=> @t463 (=> (not (= @t461 @t222)) @t527)))) % 1.13/1.34 (assume @p427 (forall @t287 (=> @t463 @t529))) % 1.13/1.34 (assume @p428 (forall @t392 (=> (not @t491) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t461) @t489)))) % 1.13/1.34 (assume @p429 (forall @t259 (=> (not @t258) @t534))) % 1.13/1.34 (assume @p430 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t532 @t441) @t487))) % 1.13/1.34 (assume @p431 (forall @t455 (= @t536 @t535))) % 1.13/1.34 (assume @p432 (forall @t455 (= (not @t487) @t533))) % 1.13/1.34 (assume @p433 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t484 @t483) @t487))) % 1.13/1.34 (assume @p434 (forall @t287 (=> (= @t286 @t220) @t518))) % 1.13/1.34 (assume @p435 (forall @t455 (= (= @t537 @t243) (and @t477 @t245)))) % 1.13/1.34 (assume @p436 (forall @t479 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t243) @t220))) % 1.13/1.34 (assume @p437 (forall @t224 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t243 @t222) @t222))) % 1.13/1.34 (assume @p438 (forall @t247 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t244 @t243) @t245))) % 1.13/1.34 (assume @p439 (forall @t287 (= @t539 @t538))) % 1.13/1.34 (assume @p440 (forall @t287 (= @t539 @t540))) % 1.13/1.34 (assume @p441 (forall @t287 (= @t538 @t540))) % 1.13/1.34 (assume @p442 (forall @t287 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t461 @t222) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t454)))) % 1.13/1.34 (assume @p443 (forall @t287 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t220 @t289) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t454)))) % 1.13/1.34 (assume @p444 (forall @t287 (=> @t541 @t502))) % 1.13/1.34 (assume @p445 (forall @t287 (=> @t542 (=> (not @t502) (= @t220 @t289))))) % 1.13/1.34 (assume @p446 (forall @t287 (=> @t502 @t542))) % 1.13/1.34 (assume @p447 (forall @t259 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t441 @t532) @t383))) % 1.13/1.34 (assume @p448 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t256 @t441) (or @t543 (= @t256 @t441))))) % 1.13/1.34 (assume @p449 (forall @t455 (= (not @t543) @t544))) % 1.13/1.34 (assume @p450 (forall @t224 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t289 @t222)))) % 1.13/1.34 (assume @p451 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t483) @t543))) % 1.13/1.34 (assume @p452 (forall @t104 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t545 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t58)))) % 1.13/1.34 (assume @p453 (forall (@list @t222 @t220 @t105 @t58) (=> @t547 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t105) @t546) @t463)))) % 1.13/1.34 (assume @p454 (forall @t510 (=> @t526 (=> @t547 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t549 @t548))))) % 1.13/1.34 (assume @p455 (forall @t104 (=> @t526 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t549 @t550)))) % 1.13/1.34 (assume @p456 (forall @t552 (=> @t526 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t551)))) % 1.13/1.34 (assume @p457 (forall @t552 (=> @t526 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t553)))) % 1.13/1.34 (assume @p458 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t495 @t494) @t487))) % 1.13/1.34 (assume @p459 (forall (@list @t102 @t101) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t554 @t102)))) % 1.13/1.34 (assume @p460 (forall (@list @t101 @t102) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t545 @t102)))) % 1.13/1.34 (assume @p461 (forall @t455 (= @t487 (and @t543 @t493)))) % 1.13/1.34 (assume @p462 (forall @t455 (= @t543 @t535))) % 1.13/1.34 (assume @p463 (forall @t287 (=> @t463 @t502))) % 1.13/1.34 (assume @p464 (forall @t287 (=> @t502 (=> @t490 @t463)))) % 1.13/1.34 (assume @p465 (forall @t287 (=> (or @t463 @t489) @t502))) % 1.13/1.34 (assume @p466 (forall @t224 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t243 @t222) @t243))) % 1.13/1.34 (assume @p467 (forall @t479 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t243) @t220))) % 1.13/1.34 (assume @p468 (forall @t479 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t220) @t243))) % 1.13/1.34 (assume @p469 (forall @t287 (=> @t555 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t220) @t243) @t489)))) % 1.13/1.34 (assume @p470 (forall @t559 (=> @t558 (not (=> @t502 (not @t556)))))) % 1.13/1.34 (assume @p471 (forall @t559 (=> @t558 @t502))) % 1.13/1.34 (assume @p472 (forall @t559 (=> @t558 @t556))) % 1.13/1.34 (assume @p473 (forall @t510 (=> @t503 (=> @t509 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t549 @t548))))) % 1.13/1.34 (assume @p474 (forall @t104 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t549 @t550)))) % 1.13/1.34 (assume @p475 (forall @t552 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t551)))) % 1.13/1.34 (assume @p476 (forall @t552 (=> @t503 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t553)))) % 1.13/1.34 (assume @p477 (forall @t476 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t495 @t494) @t543))) % 1.13/1.34 (assume @p478 (forall @t455 (= @t543 (exists @t562 (= @t244 @t561))))) % 1.13/1.34 (assume @p479 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t497))) % 1.13/1.34 (assume @p480 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t222 @t286))) % 1.13/1.34 (assume @p481 (forall @t287 (=> (= @t220 @t454) (or (= @t222 @t281) @t563)))) % 1.13/1.34 (assume @p482 (forall @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t564 (tptp.c_Nat_OSuc @t58)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t390 @t58)))) % 1.13/1.34 (assume @p483 (forall @t287 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t289) @t390))) % 1.13/1.34 (assume @p484 (forall (@list @t222 @t58 @t101) (=> @t531 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t222) @t58)))) % 1.13/1.34 (assume @p485 (forall @t567 (=> @t463 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t220 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t566 @t565))))) % 1.13/1.34 (assume @p486 (forall @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t557 @t496) @t390))) % 1.13/1.34 (assume @p487 (forall @t500 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t568 @t546) @t390))) % 1.13/1.34 (assume @p488 (forall @t104 (= @t512 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t550)))) % 1.13/1.34 (assume @p489 (forall @t392 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t497 @t222) @t220))) % 1.13/1.34 (assume @p490 (forall @t287 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t222) @t220))) % 1.13/1.34 (assume @p491 (forall @t287 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t390 @t220))) % 1.13/1.34 (assume @p492 (forall @t567 (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t566 @t565)))) % 1.13/1.34 (assume @p493 (forall @t567 (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t105) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t105))))) % 1.13/1.34 (assume @p494 (forall (@list @t222 @t102) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t222) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t102)) @t102)))) % 1.13/1.34 (assume @p495 (forall @t476 (=> @t572 (=> @t571 (= (= @t570 @t569) @t468))))) % 1.13/1.34 (assume @p496 (forall @t500 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t58 @t220) (=> @t556 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t58) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t58)) @t390))))) % 1.13/1.34 (assume @p497 (forall @t476 (=> @t572 (=> @t571 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t570 @t569) @t543))))) % 1.13/1.34 (assume @p498 (forall @t247 (= @t260 (exists (@list @t331) (= @t244 (tptp.c_Nat_OSuc @t331)))))) % 1.13/1.34 (assume @p499 (forall @t247 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t244 @t265) @t245))) % 1.13/1.34 (assume @p500 (forall @t455 (= @t536 (or @t477 (exists (@list @t573) (and (= @t256 (tptp.c_Nat_OSuc @t573)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t573 @t244))))))) % 1.13/1.34 (assume @p501 (forall @t217 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t73 @t574) (or (= @t73 @t243) (= @t73 @t265))))) % 1.13/1.34 (assume @p502 (forall @t392 (=> @t576 (=> @t575 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t454))))) % 1.13/1.34 (assume @p503 (forall @t392 (=> @t576 (=> @t575 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t464))))) % 1.13/1.34 (assume @p504 (forall @t392 (=> @t576 (=> @t575 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t454))))) % 1.13/1.34 (assume @p505 (forall @t455 (= (= @t537 @t265) @t577))) % 1.13/1.34 (assume @p506 (forall @t455 (= (= @t265 @t537) @t577))) % 1.13/1.34 (assume @p507 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t478) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t256) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t244))))) % 1.13/1.34 (assume @p508 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t537) (or @t521 @t260)))) % 1.13/1.34 (assume @p509 (forall @t476 (= @t579 @t578))) % 1.13/1.34 (assume @p510 (forall @t472 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t471 @t470) @t578))) % 1.13/1.34 (assume @p511 (forall @t455 (= @t487 (exists @t562 (= @t244 (tptp.c_Nat_OSuc @t561)))))) % 1.13/1.34 (assume @p512 (forall @t580 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t220 @t102))))) % 1.13/1.34 (assume @p513 (forall @t580 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t102 @t220))))) % 1.13/1.34 (assume @p514 (forall @t259 (= @t258 @t544))) % 1.13/1.34 (assume @p515 (forall @t455 (= @t536 @t543))) % 1.13/1.34 (assume @p516 (forall @t455 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t532 @t244) @t487))) % 1.13/1.34 (assume @p517 (forall @t287 (=> @t502 @t529))) % 1.13/1.34 (assume @p518 (forall @t287 (=> @t463 @t541))) % 1.13/1.34 (assume @p519 (forall @t455 (=> @t543 @t534))) % 1.13/1.34 (assume @p520 (forall @t287 (=> @t541 @t463))) % 1.13/1.34 (assume @p521 (forall @t259 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t244 @t256)) @t487))) % 1.13/1.34 (assume @p522 (forall @t392 (=> @t520 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t220) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t390 @t220))))) % 1.13/1.34 (assume @p523 (= @t281 @t265)) % 1.13/1.34 (assume @p524 (forall @t287 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t390 @t461))) % 1.13/1.34 (assume @p525 (forall @t392 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t497) @t243))) % 1.13/1.34 (assume @p526 (forall @t455 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t256 @t244) @t243) @t543))) % 1.13/1.34 (assume @p527 (forall @t287 (=> @t502 @t555))) % 1.13/1.34 (assume @p528 (forall @t392 (=> @t391 (= @t564 (tptp.c_Nat_OSuc @t390))))) % 1.13/1.34 (assume @p529 (forall @t585 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t582 @t584) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t581)))) % 1.13/1.34 (assume @p530 (forall @t287 (=> @t528 @t586))) % 1.13/1.34 (assume @p531 (forall (@list @t192 @t152 @t62) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t152) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t192 @t62) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t62 @t192) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t152 @t192)))))) % 1.13/1.34 (assume @p532 (forall @t476 (=> @t572 (=> @t571 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t570 @t569) @t487))))) % 1.13/1.34 (assume @p533 (forall @t591 (=> @t590 (= @t589 @t588)))) % 1.13/1.34 (assume @p534 (forall @t591 (=> @t590 (= @t588 @t589)))) % 1.13/1.34 (assume @p535 (forall @t591 (=> @t590 (= @t593 @t592)))) % 1.13/1.34 (assume @p536 (forall @t585 (=> @t595 (= (= @t594 @t89) (= @t581 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t582)))))) % 1.13/1.34 (assume @p537 (forall @t392 (=> @t391 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t390 @t222) @t220)))) % 1.13/1.34 (assume @p538 (forall (@list @t582 @t581 @t89) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t581) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t582 @t584) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t583 @t581))))) % 1.13/1.34 (assume @p539 (forall @t591 (=> @t590 (= @t592 @t593)))) % 1.13/1.34 (assume @p540 (forall @t392 (=> @t391 @t586))) % 1.13/1.34 (assume @p541 (forall (@list @t220 @t222 @t58) (=> @t556 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t220 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t497 @t58))))) % 1.13/1.34 (assume @p542 (forall (@list @t582 @t89 @t581) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t584 @t582) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t581 @t583)))) % 1.13/1.34 (assume @p543 (forall @t591 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t587) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t549 @t101))))) % 1.13/1.34 (assume @p544 (forall @t224 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t289 @t281) @t222))) % 1.13/1.34 (assume @p545 (forall (@list @t102 @t222) (=> @t520 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t530) @t222)))) % 1.13/1.34 (assume @p546 (forall @t224 (=> @t520 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t265)) @t222)))) % 1.13/1.34 (assume @p547 (forall @t601 (= @t600 (and (=> @t599 @t598) (forall @t202 (=> @t597 @t596)))))) % 1.13/1.34 (assume @p548 (forall @t601 (= @t600 (not (or (and @t599 (not @t598)) (exists @t202 (and @t597 (not @t596)))))))) % 1.13/1.34 (assume @p549 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t250)) % 1.13/1.34 (assume @p550 (forall @t604 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t603 @t220) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t602 @t568))))) % 1.13/1.34 (assume @p551 (forall @t604 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t603) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t557 @t602))))) % 1.13/1.34 (assume @p552 (forall @t224 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t222)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t222))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t222))))))) % 1.13/1.34 (assume @p553 (forall @t224 (=> @t520 (= @t605 @t222)))) % 1.13/1.34 (assume @p554 (forall @t224 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t223 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t606)) (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 @t606) @t222))))) % 1.13/1.34 (assume @p555 (forall @t611 (=> @t610 (=> @t609 (=> @t608 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t607 @t59)))))) % 1.13/1.34 (assume @p556 (forall @t611 (=> @t610 (=> @t609 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t127 @t62) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t59 @t607)))))) % 1.13/1.34 (assume @p557 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t457)) % 1.13/1.34 (assume @p558 (forall @t224 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t222 @t612) (or @t518 (= @t222 @t265))))) % 1.13/1.34 (assume @p559 (= @t613 @t243)) % 1.13/1.34 (assume @p560 (= @t243 @t613)) % 1.13/1.34 (assume @p561 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t227)) % 1.13/1.34 (assume @p562 (forall @t163 (=> @t618 (= (= @t617 @t56) @t615)))) % 1.13/1.34 (assume @p563 (forall @t27 (=> @t26 (= @t56 @t139)))) % 1.13/1.34 (assume @p564 (forall @t621 (= (= @t243 @t620) @t619))) % 1.13/1.34 (assume @p565 (forall @t621 (= (= @t620 @t243) @t619))) % 1.13/1.34 (assume @p566 (forall @t625 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t620 @t624) (and (=> @t623 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t622)) @t623)))) % 1.13/1.34 (assume @p567 (forall @t625 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t620 @t624) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t252 @t622)) @t619)))) % 1.13/1.34 (assume @p568 (= @t281 @t626)) % 1.13/1.34 (assume @p569 (= @t626 @t281)) % 1.13/1.34 (assume @p570 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t59)) % 1.13/1.34 (assume @p571 (forall @t76 (=> @t458 (=> @t627 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t73 @t74)))))) % 1.13/1.34 (assume @p572 (forall @t76 (=> @t458 (=> @t627 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint @t73 @t74)))))) % 1.13/1.34 (assume @p573 (forall @t224 (= @t289 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t222)))) % 1.13/1.34 (assume @p574 (forall @t224 (= @t289 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t281)))) % 1.13/1.34 (assume @p575 (forall @t287 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 @t289) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t628 @t222)))) % 1.13/1.34 (assume @p576 (forall @t163 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t617 @t56) @t615)))) % 1.13/1.34 (assume @p577 (forall @t191 (=> @t630 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t629)))) % 1.13/1.34 (assume @p578 (forall @t191 (=> @t630 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t629 @t56))))) % 1.13/1.34 (assume @p579 (forall @t163 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t617) (or @t132 @t631))))) % 1.13/1.34 (assume @p580 (forall @t27 (=> @t26 (= @t24 @t145)))) % 1.13/1.34 (assume @p581 (= @t626 @t265)) % 1.13/1.34 (assume @p582 (= @t633 (tptp.c_Nat_OSuc @t574))) % 1.13/1.34 (assume @p583 (forall @t224 (= (tptp.c_Nat_OSuc @t634) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t633 @t222)))) % 1.13/1.34 (assume @p584 (forall @t621 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t620) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t252)))) % 1.13/1.34 (assume @p585 (forall @t642 (and (=> @t640 (= @t638 @t636)) (=> @t641 (and (=> @t639 (= @t638 @t637)) (=> (not @t639) (= @t638 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t635))))))))) % 1.13/1.34 (assume @p586 (forall @t647 (=> @t379 (=> @t646 (=> @t645 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t415 @t74) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t644 @t384))))))) % 1.13/1.34 (assume @p587 (forall @t647 (=> @t379 (=> @t646 (=> @t645 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t74 @t415) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t384 @t644))))))) % 1.13/1.34 (assume @p588 (= @t574 @t612)) % 1.13/1.34 (assume @p589 (= @t612 @t574)) % 1.13/1.34 (assume @p590 (forall @t224 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 @t612) @t634))) % 1.13/1.34 (assume @p591 (forall @t224 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t612 @t222) @t634))) % 1.13/1.34 (assume @p592 (forall @t392 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t613 @t222) (= @t564 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t222 @t626)))))) % 1.13/1.34 (assume @p593 (forall @t231 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t69 @t612) @t648))) % 1.13/1.34 (assume @p594 (forall @t231 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t612 @t69) @t648))) % 1.13/1.34 (assume @p595 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t632))) % 1.13/1.34 (assume @p596 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t281) @t612)) % 1.13/1.34 (assume @p597 (forall @t224 (=> @t520 (= @t222 @t605)))) % 1.13/1.34 (assume @p598 (forall (@list @t32) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t243 @t637) (= @t637 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t637 @t281)))))) % 1.13/1.34 (assume @p599 (forall (@list @t58 @t635 @t32) (and (=> @t640 (= @t650 @t243)) (=> @t641 (= @t650 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t649 @t58)))))) % 1.13/1.34 (assume @p600 (forall @t642 (and (=> @t640 (= @t651 @t243)) (=> @t641 (= @t651 @t649))))) % 1.13/1.34 (assume @p601 (forall @t287 (and (=> @t563 (= @t286 @t222)) (=> @t652 (= @t286 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t628 @t222))))))) % 1.13/1.34 (assume @p602 (forall @t664 (=> @t663 (=> @t661 (=> @t659 (=> @t658 (=> @t656 (=> @t655 @t654)))))))) % 1.13/1.34 (assume @p603 (forall @t667 (=> @t666 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t127 @t227) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t152 @t127) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t152 @t657) @t665)))))) % 1.13/1.34 (assume @p604 (forall @t664 (=> @t663 (=> @t669 (=> @t668 (=> @t608 (=> @t656 (=> @t655 @t665)))))))) % 1.13/1.34 (assume @p605 (forall @t667 (=> @t666 (=> @t658 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t657 @t152) (=> @t659 @t654)))))) % 1.13/1.34 (assume @p606 (forall @t670 (=> @t661 (=> @t658 (=> @t656 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t653 @t227)))))) % 1.13/1.34 (assume @p607 (forall @t670 (=> @t669 (=> @t668 (=> @t656 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t227 @t653)))))) % 1.13/1.34 (assume @p608 (forall @t287 (and (=> @t563 (= @t454 @t243)) (=> @t652 (= @t454 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t222 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t628 @t222))))))) % 1.13/1.34 (assume @p609 @t671) % 1.13/1.34 (assume @p610 (forall @t676 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t22) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t73 @t62) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t74 @t62) (=> @t675 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless @t22 @t672 @t62))))))))) % 1.13/1.34 (assume @p611 (forall @t683 (=> @t682 (= @t681 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t678 @t244))))) % 1.13/1.34 (assume @p612 (forall @t191 (=> @t37 (=> @t492 (=> (not @t684) (tptp.c_Orderings_Oord__class_Oless @t22 @t74 @t73)))))) % 1.13/1.34 (assume @p613 (forall @t68 (=> @t66 @t685))) % 1.13/1.34 (assume @p614 (forall @t687 (=> @t66 (= (= @t686 (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t294)) @t353)))) % 1.13/1.34 (assume @p615 (forall @t188 (=> @t66 (=> @t689 @t688)))) % 1.13/1.34 (assume @p616 (forall @t188 (=> @t691 (=> @t690 (or @t99 @t156))))) % 1.13/1.34 (assume @p617 (forall @t188 (=> @t691 (=> @t100 (=> @t157 (not @t690)))))) % 1.13/1.34 (assume @p618 (forall @t687 (=> (tptp.class_Rings_Oring__no__zero__divisors @t22) (= (= @t693 @t56) (or @t123 @t692))))) % 1.13/1.34 (assume @p619 (forall @t68 (=> @t694 @t334))) % 1.13/1.34 (assume @p620 (forall @t68 (=> @t694 @t695))) % 1.13/1.34 (assume @p621 (forall @t27 (=> @t696 (not (= @t56 @t24))))) % 1.13/1.34 (assume @p622 (forall @t27 (=> @t696 (not (= @t24 @t56))))) % 1.13/1.34 (assume @p623 (forall @t699 (=> (tptp.class_Rings_Ocomm__semiring @t22) (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t268 @t192) (tptp.c_Groups_Oplus__class_Oplus @t22 @t698 @t697))))) % 1.13/1.34 (assume @p624 (forall (@list @t192 @t152 @t219 @t62 @t22) (=> (tptp.class_Rings_Osemiring @t22) (= (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t219) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t152 @t219) @t192)) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t268 @t219) @t192))))) % 1.13/1.34 (assume @p625 (forall @t687 (=> (tptp.class_Rings_Oidom @t22) (= (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t122 @t122) (tptp.c_Groups_Otimes__class_Otimes @t22 @t294 @t294)) (or @t353 @t701))))) % 1.13/1.34 (assume @p626 (forall @t188 (=> @t373 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t349 @t351) @t339)))) % 1.13/1.34 (assume @p627 (forall @t188 (=> @t373 (= @t350 @t352)))) % 1.13/1.34 (assume @p628 (forall @t188 (=> @t373 (= @t348 @t350)))) % 1.13/1.34 (assume @p629 (forall @t188 (=> @t373 (= @t348 @t352)))) % 1.13/1.34 (assume @p630 (forall @t68 (=> @t66 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t56) @t56)))) % 1.13/1.34 (assume @p631 (forall @t68 (=> @t432 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t56 @t62) @t56)))) % 1.13/1.34 (assume @p632 (forall @t699 (=> @t432 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t702) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t339 @t192))))) % 1.13/1.34 (assume @p633 (forall @t699 (=> @t432 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t268 @t192) (tptp.c_Groups_Oplus__class_Oplus @t22 @t703 @t702))))) % 1.13/1.34 (assume @p634 (forall @t699 (=> @t432 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t186 @t192) (tptp.c_Groups_Ominus__class_Ominus @t22 @t703 @t702))))) % 1.13/1.34 (assume @p635 (forall @t68 (=> @t432 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t62 @t24) @t62)))) % 1.13/1.34 (assume @p636 (forall @t27 (=> @t66 @t704))) % 1.13/1.34 (assume @p637 (forall @t126 (=> @t66 (= (= @t686 @t56) @t123)))) % 1.13/1.34 (assume @p638 (forall @t68 (=> @t432 (=> @t100 (not @t705))))) % 1.13/1.34 (assume @p639 (forall @t68 (=> @t432 (=> @t100 @t685)))) % 1.13/1.34 (assume @p640 (forall @t68 (=> @t432 (=> @t705 @t99)))) % 1.13/1.34 (assume @p641 (forall @t188 (=> @t432 (=> @t689 (=> @t100 (=> @t157 @t688)))))) % 1.13/1.34 (assume @p642 (forall @t68 (=> @t37 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t707 @t707) @t706)))) % 1.13/1.34 (assume @p643 (forall @t188 (=> @t37 @t710))) % 1.13/1.34 (assume @p644 (forall @t188 (=> @t432 (= @t711 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t349 @t152))))) % 1.13/1.34 (assume @p645 (forall @t27 (=> @t37 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t24) @t24)))) % 1.13/1.34 (assume @p646 (forall @t476 (= @t475 (or @t467 @t468)))) % 1.13/1.34 (assume @p647 (forall @t27 (=> @t432 (= (tptp.c_Rings_Oinverse__class_Oinverse @t22 @t24) @t24)))) % 1.13/1.34 (assume @p648 (forall @t68 (=> @t66 @t712))) % 1.13/1.34 (assume @p649 (forall (@list @t58 @t101 @t384 @t102) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t714 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t713 @t58)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t545 @t384) @t58)))) % 1.13/1.34 (assume @p650 (forall (@list @t62 @t127) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t127 @t62) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal @t127 @t127)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t62 @t127)))) % 1.13/1.34 (assume @p651 (forall @t188 (=> @t720 (=> (or (and @t719 @t718) (and @t717 @t716)) @t715)))) % 1.13/1.34 (assume @p652 (forall @t188 (=> @t722 (=> (or (and @t719 @t716) (and @t717 @t718)) @t721)))) % 1.13/1.34 (assume @p653 (forall @t276 (=> @t728 (=> @t727 (=> @t726 (=> @t716 @t725)))))) % 1.13/1.34 (assume @p654 (forall @t276 (=> @t728 (=> @t727 (=> @t726 (=> @t719 @t725)))))) % 1.13/1.34 (assume @p655 (forall @t734 (=> @t722 (=> @t733 (=> @t732 @t731))))) % 1.13/1.34 (assume @p656 (forall @t734 (=> @t722 (=> @t733 (=> @t732 @t735))))) % 1.13/1.34 (assume @p657 (forall @t699 (=> (tptp.class_Rings_Oordered__comm__semiring @t22) @t736))) % 1.13/1.34 (assume @p658 (forall @t699 (=> @t728 @t736))) % 1.13/1.34 (assume @p659 (forall @t699 (=> @t728 (=> @t727 (=> @t724 @t735))))) % 1.13/1.34 (assume @p660 (forall @t188 (=> @t722 (=> @t717 (=> @t718 @t721))))) % 1.13/1.34 (assume @p661 (forall @t188 (=> @t720 (=> @t717 (=> @t716 @t715))))) % 1.13/1.34 (assume @p662 (forall @t188 (=> @t720 (=> @t719 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t737 @t56)))))) % 1.13/1.34 (assume @p663 (forall @t188 (=> @t720 (=> @t719 (=> @t718 @t715))))) % 1.13/1.34 (assume @p664 (forall @t188 (=> @t720 (=> @t719 (=> @t716 @t721))))) % 1.13/1.34 (assume @p665 (forall @t687 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t693 @t56) @t740)))) % 1.13/1.34 (assume @p666 (forall @t687 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t693) @t741)))) % 1.13/1.34 (assume @p667 (forall @t68 (=> @t630 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t706)))) % 1.13/1.34 (assume @p668 (forall @t68 (=> @t630 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t706 @t56))))) % 1.13/1.34 (assume @p669 (forall @t746 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t745 (tptp.c_Groups_Otimes__class_Otimes @t22 @t294 @t354)) @t744)))) % 1.13/1.34 (assume @p670 (forall @t750 (=> @t618 (= @t749 @t744)))) % 1.13/1.34 (assume @p671 (forall @t750 (=> @t618 (=> @t427 (= @t749 @t743))))) % 1.13/1.34 (assume @p672 (forall @t188 (=> @t754 (=> @t753 (=> @t752 @t751))))) % 1.13/1.34 (assume @p673 (forall @t188 (=> @t754 (=> @t753 (=> @t756 @t755))))) % 1.13/1.34 (assume @p674 (forall @t188 (=> @t754 (=> @t753 (=> @t756 (tptp.c_Orderings_Oord__class_Oless @t22 @t737 @t56)))))) % 1.13/1.34 (assume @p675 (forall @t188 (=> @t754 (=> @t751 @t757)))) % 1.13/1.34 (assume @p676 (forall @t158 (=> @t754 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t737) @t757)))) % 1.13/1.34 (assume @p677 (forall @t750 (=> @t618 (=> @t424 (= @t749 @t742))))) % 1.13/1.34 (assume @p678 (forall @t188 (=> @t754 (=> @t758 (=> @t752 @t755))))) % 1.13/1.34 (assume @p679 (forall @t188 (=> @t618 (=> @t758 (=> @t756 @t751))))) % 1.13/1.34 (assume @p680 (forall @t699 (=> @t754 (=> @t761 (=> @t760 @t759))))) % 1.13/1.34 (assume @p681 (forall @t699 (=> @t754 @t763))) % 1.13/1.34 (assume @p682 (forall @t699 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t22) @t763))) % 1.13/1.34 (assume @p683 (forall @t734 (=> @t618 (=> @t765 (=> @t764 @t759))))) % 1.13/1.34 (assume @p684 (forall @t734 (=> @t618 (=> @t765 (=> @t764 @t762))))) % 1.13/1.34 (assume @p685 (forall @t699 (=> @t768 (=> @t753 @t767)))) % 1.13/1.34 (assume @p686 (forall @t27 (=> @t768 (not (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t24 @t56))))) % 1.13/1.34 (assume @p687 (forall @t27 (=> @t768 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t24)))) % 1.13/1.34 (assume @p688 (forall @t27 (=> @t768 (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t24)))) % 1.13/1.34 (assume @p689 (forall @t27 (=> @t768 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t56))))) % 1.13/1.34 (assume @p690 (forall @t126 (=> @t37 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t769) @t137)))) % 1.13/1.34 (assume @p691 (forall (@list @t222 @t220 @t22) (=> @t768 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t220) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t222) (tptp.c_Orderings_Oord__class_Oless @t22 @t24 (tptp.c_Groups_Otimes__class_Otimes @t22 @t220 @t222))))))) % 1.13/1.34 (assume @p692 (forall @t68 (=> @t768 (tptp.c_Orderings_Oord__class_Oless @t22 @t62 (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t24))))) % 1.13/1.34 (assume @p693 (forall @t777 (=> @t373 (= @t776 (= @t773 @t770))))) % 1.13/1.34 (assume @p694 (forall @t777 (=> @t373 (= @t776 (= @t354 @t778))))) % 1.13/1.34 (assume @p695 (forall @t750 (=> @t432 (=> @t406 (= @t780 @t779))))) % 1.13/1.34 (assume @p696 (forall @t783 (=> @t432 (=> @t406 (= @t782 @t781))))) % 1.13/1.34 (assume @p697 (forall @t785 (=> @t432 (=> @t784 (=> (= @t152 @t698) (= @t702 @t62)))))) % 1.13/1.34 (assume @p698 (forall @t786 (=> @t432 (=> @t784 (=> (= @t698 @t152) (= @t62 @t702)))))) % 1.13/1.34 (assume @p699 (forall @t42 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t22) (= (= @t616 @t24) (or @t787 (= @t40 (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t24))))))) % 1.13/1.34 (assume @p700 (forall @t789 (=> @t432 (=> (not @t692) (= (= @t788 @t24) @t353))))) % 1.13/1.34 (assume @p701 (forall @t68 (=> @t432 @t791))) % 1.13/1.34 (assume @p702 (forall @t68 (=> @t66 (and (=> @t99 (= @t790 @t56)) @t791)))) % 1.13/1.34 (assume @p703 (forall @t280 (=> @t37 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t707 @t192) (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t708 @t271) (tptp.c_Orderings_Oord__class_Oless @t22 @t709 @t412)))))) % 1.13/1.34 (assume @p704 (forall @t158 (=> @t432 (=> @t157 @t792)))) % 1.13/1.34 (assume @p705 (forall @t158 (=> @t432 (=> @t157 @t793)))) % 1.13/1.34 (assume @p706 (forall @t188 (=> @t432 (=> @t100 (=> @t157 (= @t794 (tptp.c_Groups_Otimes__class_Otimes @t22 @t430 @t64))))))) % 1.13/1.34 (assume @p707 (forall @t687 (=> @t37 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t796 @t294) (and @t743 @t795))))) % 1.13/1.34 (assume @p708 (forall @t68 (=> @t432 (=> @t100 @t712)))) % 1.13/1.34 (assume @p709 (forall @t188 (=> @t432 (=> (= @t339 @t24) (= @t64 @t152))))) % 1.13/1.34 (assume @p710 (forall @t188 (=> @t432 @t797))) % 1.13/1.34 (assume @p711 (forall (@list @t40) (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t382)) @t381))) % 1.13/1.34 (assume @p712 (forall @t476 (=> @t522 (= @t475 @t468)))) % 1.13/1.34 (assume @p713 (forall @t476 (=> @t522 (= @t524 @t487)))) % 1.13/1.34 (assume @p714 @t799) % 1.13/1.34 (assume @p715 (forall @t750 (=> @t618 (=> @t427 (= @t801 @t800))))) % 1.13/1.34 (assume @p716 (forall @t750 (=> @t618 (=> @t424 (= @t801 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t122)))))) % 1.13/1.34 (assume @p717 (forall @t276 (=> @t754 (=> @t761 (=> @t804 (=> @t752 @t803)))))) % 1.13/1.34 (assume @p718 (forall @t276 (=> @t754 (=> @t761 (=> @t804 (=> @t719 @t803)))))) % 1.13/1.34 (assume @p719 (forall @t276 (=> @t754 (=> @t761 (=> @t726 (=> @t719 (=> @t760 @t802))))))) % 1.13/1.34 (assume @p720 (forall @t276 (=> @t754 (=> @t727 (=> @t804 (=> @t753 @t803)))))) % 1.13/1.34 (assume @p721 (forall @t808 (=> @t807 @t806))) % 1.13/1.34 (assume @p722 (forall @t808 (=> @t754 @t806))) % 1.13/1.34 (assume @p723 (forall @t786 (=> @t807 @t809))) % 1.13/1.34 (assume @p724 (forall @t786 (=> @t754 @t809))) % 1.13/1.34 (assume @p725 (forall @t808 (=> @t754 (=> @t735 @t810)))) % 1.13/1.34 (assume @p726 (forall @t786 (=> @t754 (=> @t731 @t810)))) % 1.13/1.34 (assume @p727 (forall @t191 (=> @t37 (=> @t813 (=> @t812 (=> @t811 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t328 @t73))))))) % 1.13/1.34 (assume @p728 (forall @t191 (=> @t37 (=> @t813 (=> @t812 (=> @t811 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t814 @t73))))))) % 1.13/1.34 (assume @p729 (forall @t27 (=> @t768 (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t25)))) % 1.13/1.34 (assume @p730 (forall @t777 (=> @t722 (= @t815 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t773 @t770))))) % 1.13/1.34 (assume @p731 (forall @t777 (=> @t722 (= @t815 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t354 @t778))))) % 1.13/1.34 (assume @p732 (forall @t777 (=> @t722 (= @t816 (tptp.c_Orderings_Oord__class_Oless @t22 @t773 @t770))))) % 1.13/1.34 (assume @p733 (forall @t777 (=> @t722 (= @t816 (tptp.c_Orderings_Oord__class_Oless @t22 @t354 @t778))))) % 1.13/1.34 (assume @p734 (forall @t191 (=> @t37 (=> @t813 (= (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t74) @t73) (tptp.c_Groups_Oabs__class_Oabs @t22 @t814)))))) % 1.13/1.34 (assume @p735 (forall @t188 (=> (tptp.class_Rings_Oordered__ring__abs @t22) (=> (and (or @t719 @t717) (or @t716 @t718)) @t710)))) % 1.13/1.34 (assume @p736 (forall @t188 (=> @t432 (=> @t100 (=> @t157 (= @t817 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 @t268) @t430))))))) % 1.13/1.34 (assume @p737 (forall @t188 (=> @t432 (=> @t100 (=> @t157 (= @t431 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 @t185) @t430))))))) % 1.13/1.34 (assume @p738 (forall @t68 (=> @t432 (=> @t100 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t64) @t24))))) % 1.13/1.34 (assume @p739 (forall @t68 (=> @t432 @t818))) % 1.13/1.34 (assume @p740 (forall @t68 (=> @t432 (=> @t100 @t798)))) % 1.13/1.34 (assume @p741 (forall @t476 (=> @t522 (= @t579 @t543)))) % 1.13/1.34 (assume @p742 (forall @t821 (=> @t595 (= @t820 (= @t256 @t819))))) % 1.13/1.34 (assume @p743 (forall (@list @t222 @t220 @t384 @t101 @t102) (=> @t503 (= @t822 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t220 (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 @t101 @t102) @t384) @t222)))))) % 1.13/1.34 (assume @p744 (forall @t821 (=> @t595 (= @t823 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t256 @t819))))) % 1.13/1.34 (assume @p745 (forall @t683 (=> @t682 (= @t820 (= @t678 @t244))))) % 1.13/1.34 (assume @p746 (forall (@list @t222 @t220 @t384 @t102 @t101) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t102) (= @t822 (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 @t511 @t384) @t220) @t222))))) % 1.13/1.34 (assume @p747 (forall @t683 (=> @t682 (= @t823 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t678 @t244))))) % 1.13/1.34 (assume @p748 (forall @t676 (=> (tptp.class_Rings_Olinordered__semiring__1 @t22) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t73 @t62) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t74 @t62) (=> @t675 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t672 @t62))))))))) % 1.13/1.34 (assume @p749 (forall @t821 (=> @t595 (= @t681 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t256 @t819))))) % 1.13/1.34 (assume @p750 (forall @t68 (=> @t824 (=> @t753 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t62 @t24) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t24 @t64)))))) % 1.13/1.34 (assume @p751 (forall @t42 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t826 @t24) (or @t825 (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t40)))))) % 1.13/1.34 (assume @p752 (forall @t42 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t24 @t826) (and @t827 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t40 @t24)))))) % 1.13/1.34 (assume @p753 (forall (@list @t28 @t69 @t74 @t73 @t22) (=> @t151 (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t189 (tptp.c_Rings_Oinverse__class_Odivide @t22 @t69 @t28)) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t828 (tptp.c_Groups_Otimes__class_Otimes @t22 @t74 @t28)))))) % 1.13/1.34 (assume @p754 (forall @t27 (=> @t151 @t704))) % 1.13/1.34 (assume @p755 (forall @t188 (=> @t151 @t793))) % 1.13/1.34 (assume @p756 (forall @t188 (=> @t151 @t792))) % 1.13/1.34 (assume @p757 (forall @t188 (=> @t151 (= @t794 (tptp.c_Groups_Otimes__class_Otimes @t22 @t64 @t430))))) % 1.13/1.34 (assume @p758 (forall @t42 (=> @t151 (= (= @t826 @t24) @t787)))) % 1.13/1.34 (assume @p759 (forall @t188 (=> @t167 @t829))) % 1.13/1.34 (assume @p760 @t831) % 1.13/1.34 (assume @p761 (forall @t68 (=> @t167 @t832))) % 1.13/1.34 (assume @p762 (forall @t699 (=> @t167 (=> @t727 (=> @t732 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t702 @t703)))))) % 1.13/1.34 (assume @p763 (forall @t699 (=> @t167 (=> @t727 (=> @t724 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t703 @t702)))))) % 1.13/1.34 (assume @p764 (forall @t687 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t788 @t56) @t740)))) % 1.13/1.34 (assume @p765 (forall @t687 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t788) @t741)))) % 1.13/1.34 (assume @p766 (forall @t687 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t788) (or (and @t416 @t834) (and @t137 @t833)))))) % 1.13/1.34 (assume @p767 (forall @t687 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t788 @t56) (or (and @t416 @t833) (and @t137 @t834)))))) % 1.13/1.34 (assume @p768 @t840) % 1.13/1.34 (assume @p769 (forall @t191 (=> @t824 (=> @t838 (=> @t842 @t841))))) % 1.13/1.34 (assume @p770 (forall @t191 (=> @t824 (=> @t843 (=> @t836 @t841))))) % 1.13/1.34 (assume @p771 (forall @t191 (=> @t824 (=> @t843 (=> @t842 @t835))))) % 1.13/1.34 (assume @p772 (forall @t699 (=> @t824 (=> @t761 (=> @t760 @t844))))) % 1.13/1.34 (assume @p773 (forall @t734 (=> @t824 (=> @t765 (=> @t764 @t844))))) % 1.13/1.34 (assume @p774 (forall (@list @t47 @t40 @t77 @t35 @t22) (=> @t146 (=> @t631 (=> (not (= @t77 @t56)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t40 @t35) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t47 @t77)) (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t40 @t77) (tptp.c_Groups_Otimes__class_Otimes @t22 @t47 @t35)))))))) % 1.13/1.34 (assume @p775 (forall @t786 (=> @t151 (=> @t784 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t730 @t729) @t154))))) % 1.13/1.34 (assume @p776 (forall @t786 (=> @t151 (=> @t784 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 @t698 @t697) @t154))))) % 1.13/1.34 (assume @p777 (forall @t846 (=> @t151 (= @t782 (and (=> @t406 @t781) @t845))))) % 1.13/1.34 (assume @p778 (forall @t847 (=> @t151 (= @t780 (and (=> @t406 @t779) @t845))))) % 1.13/1.34 (assume @p779 (forall @t126 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t686 @t56) @t438)))) % 1.13/1.34 (assume @p780 (forall @t126 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t686) @t433)))) % 1.13/1.34 (assume @p781 (forall @t188 (=> @t824 (=> @t848 (=> @t756 @t765))))) % 1.13/1.34 (assume @p782 (forall @t188 (=> @t824 (=> @t848 (=> @t753 @t765))))) % 1.13/1.34 (assume @p783 (forall @t68 (=> @t824 (=> @t849 (=> @t100 @t758))))) % 1.13/1.34 (assume @p784 (forall @t188 (=> @t824 (=> @t761 (=> @t756 @t850))))) % 1.13/1.34 (assume @p785 (forall @t188 (=> @t824 (=> @t761 (=> @t753 @t850))))) % 1.13/1.34 (assume @p786 (forall @t68 (=> @t824 (=> @t758 @t849)))) % 1.13/1.34 (assume @p787 (forall @t68 (=> @t824 (=> @t851 (=> @t100 @t753))))) % 1.13/1.34 (assume @p788 (forall @t68 (=> @t824 (=> @t753 @t851)))) % 1.13/1.34 (assume @p789 (forall @t126 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t686 @t56) @t137)))) % 1.13/1.34 (assume @p790 (forall @t126 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t686) @t416)))) % 1.13/1.34 (assume @p791 (forall @t158 (=> @t824 (=> @t157 @t829)))) % 1.13/1.34 (assume @p792 (forall @t188 (=> @t146 @t797))) % 1.13/1.34 (assume @p793 (forall @t68 (=> @t824 (=> @t100 @t832)))) % 1.13/1.34 (assume @p794 (forall @t191 (=> @t824 (=> @t813 (=> @t836 @t852))))) % 1.13/1.34 (assume @p795 (forall @t191 (=> @t824 (=> @t813 (=> @t842 @t853))))) % 1.13/1.34 (assume @p796 (forall @t859 (=> @t824 (=> @t838 (=> @t858 (=> @t857 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t28 @t69) @t856))))))) % 1.13/1.34 (assume @p797 (forall @t859 (=> @t824 (=> @t813 (=> @t684 (=> @t857 (=> @t860 @t856))))))) % 1.13/1.34 (assume @p798 (forall @t859 (=> @t824 (=> @t813 (=> @t858 (=> @t857 (=> @t860 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t855 @t854)))))))) % 1.13/1.34 (assume @p799 (forall @t191 (=> @t824 (=> @t861 (=> @t836 @t853))))) % 1.13/1.34 (assume @p800 (forall @t191 (=> @t824 (=> @t861 (=> @t842 @t852))))) % 1.13/1.34 (assume @p801 (forall @t847 (=> @t167 (= @t864 (and (=> @t427 @t863) (=> @t428 (and (=> @t424 @t862) (=> @t425 @t137)))))))) % 1.13/1.34 (assume @p802 (forall @t846 (=> @t167 (= @t865 (and (=> @t427 @t862) (=> @t428 (and (=> @t424 @t863) (=> @t425 @t416)))))))) % 1.13/1.34 (assume @p803 (forall @t750 (=> @t824 (=> @t427 (= @t864 @t863))))) % 1.13/1.34 (assume @p804 (forall @t783 (=> @t824 (=> @t427 (= @t865 @t862))))) % 1.13/1.34 (assume @p805 (forall @t867 (=> @t824 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t73 @t866) (tptp.c_Orderings_Oord__class_Oless @t22 @t189 @t69)))))) % 1.13/1.34 (assume @p806 (forall @t868 (=> @t824 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t866 @t73) (tptp.c_Orderings_Oord__class_Oless @t22 @t69 @t189)))))) % 1.13/1.34 (assume @p807 (forall @t750 (=> @t824 (=> @t424 (= @t864 @t862))))) % 1.13/1.34 (assume @p808 (forall @t783 (=> @t824 (=> @t424 (= @t865 @t863))))) % 1.13/1.34 (assume @p809 (forall @t734 (=> @t824 (=> @t765 (=> @t760 @t871))))) % 1.13/1.34 (assume @p810 (forall @t699 (=> @t824 (=> @t761 (=> @t764 @t871))))) % 1.13/1.34 (assume @p811 (forall @t868 (=> @t151 (=> @t874 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t69 @t189) @t873))))) % 1.13/1.34 (assume @p812 (forall @t878 (=> @t146 (=> @t877 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t73 @t876) (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t875 @t74) @t69)))))) % 1.13/1.34 (assume @p813 (forall @t867 (=> @t151 (=> @t874 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t189 @t69) @t873))))) % 1.13/1.34 (assume @p814 (forall @t878 (=> @t146 (=> @t877 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t855 @t74) (tptp.c_Rings_Oinverse__class_Odivide @t22 @t872 @t69)))))) % 1.13/1.34 (assume @p815 (forall @t882 (=> @t146 (=> @t874 (=> @t877 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t189 @t881) (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Oplus__class_Oplus @t22 @t828 @t880) @t879))))))) % 1.13/1.34 (assume @p816 (forall @t188 (=> @t824 (=> @t883 (=> @t756 @t733))))) % 1.13/1.34 (assume @p817 (forall @t188 (=> @t824 (=> @t883 (=> @t753 @t733))))) % 1.13/1.34 (assume @p818 (forall @t188 (=> @t824 (=> @t727 (=> @t756 @t884))))) % 1.13/1.34 (assume @p819 (forall @t188 (=> @t824 (=> @t727 (=> @t753 @t884))))) % 1.13/1.34 (assume @p820 (forall @t878 (=> @t146 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t73 @t876) (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t875 @t74) @t69)))))) % 1.13/1.34 (assume @p821 (forall @t878 (=> @t146 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t855 @t74) (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t73 @t866) @t69)))))) % 1.13/1.34 (assume @p822 (forall @t882 (=> @t146 (=> @t874 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t189 @t881) (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Ominus__class_Ominus @t22 @t828 @t880) @t879))))))) % 1.13/1.34 (assume @p823 (forall @t188 (=> @t824 (=> @t761 (tptp.c_Orderings_Oord__class_Oless @t22 @t62 @t885))))) % 1.13/1.34 (assume @p824 (forall @t188 (=> @t824 (=> @t761 (tptp.c_Orderings_Oord__class_Oless @t22 @t885 @t152))))) % 1.13/1.34 (assume @p825 (forall @t42 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t826 @t24) (or @t825 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t24 @t40)))))) % 1.13/1.34 (assume @p826 (forall @t188 (=> @t146 (=> @t100 (=> @t157 (= @t817 (tptp.c_Groups_Otimes__class_Otimes @t22 (tptp.c_Groups_Otimes__class_Otimes @t22 @t268 @t64) @t430))))))) % 1.13/1.34 (assume @p827 (forall @t42 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t826) (and @t827 (tptp.c_Orderings_Oord__class_Oless @t22 @t40 @t24)))))) % 1.13/1.34 (assume @p828 (forall @t68 (=> @t824 (=> @t753 (=> (tptp.c_Orderings_Oord__class_Oless @t22 @t62 @t24) (tptp.c_Orderings_Oord__class_Oless @t22 @t24 @t64)))))) % 1.13/1.34 (assume @p829 (forall @t68 (=> @t146 @t818))) % 1.13/1.34 (assume @p830 (forall (@list @t73 @t74 @t22) (=> @t167 (=> @t836 (= (tptp.c_Rings_Oinverse__class_Odivide @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t73) @t74) (tptp.c_Groups_Oabs__class_Oabs @t22 @t189)))))) % 1.13/1.34 (assume @p831 (forall @t847 (=> @t167 (= @t888 (and (=> @t427 @t887) (=> @t428 (and (=> @t424 @t886) (=> @t425 @t438)))))))) % 1.13/1.34 (assume @p832 (forall @t846 (=> @t167 (= @t889 (and (=> @t427 @t886) (=> @t428 (and (=> @t424 @t887) (=> @t425 @t433)))))))) % 1.13/1.34 (assume @p833 (forall @t750 (=> @t824 (=> @t427 (= @t888 @t887))))) % 1.13/1.34 (assume @p834 (forall @t783 (=> @t824 (=> @t427 (= @t889 @t886))))) % 1.13/1.34 (assume @p835 (forall @t867 (=> @t824 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t73 @t866) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t189 @t69)))))) % 1.13/1.34 (assume @p836 (forall @t868 (=> @t824 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t866 @t73) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t69 @t189)))))) % 1.13/1.34 (assume @p837 (forall @t750 (=> @t824 (=> @t424 (= @t888 @t886))))) % 1.13/1.34 (assume @p838 (forall @t783 (=> @t824 (=> @t424 (= @t889 @t887))))) % 1.13/1.34 (assume @p839 (forall @t734 (=> @t824 (=> @t733 (=> @t724 @t890))))) % 1.13/1.34 (assume @p840 (forall @t699 (=> @t167 (=> @t727 (=> @t732 @t890))))) % 1.13/1.34 (assume @p841 (forall @t211 (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 @t152 @t62)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t152)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t62)))) % 1.13/1.34 (assume @p842 (forall @t188 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t892 @t891)))) % 1.13/1.34 (assume @p843 (forall @t42 (=> (tptp.class_Groups_Ozero @t22) (= (= @t56 @t40) @t82)))) % 1.13/1.34 (assume @p844 (forall @t699 (=> (tptp.class_Groups_Oab__semigroup__mult @t22) (= (tptp.c_Groups_Otimes__class_Otimes @t22 @t339 @t192) (tptp.c_Groups_Otimes__class_Otimes @t22 @t62 @t697))))) % 1.13/1.34 (assume @p845 (forall @t734 (=> @t896 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t152 @t62) @t895) @t894)))) % 1.13/1.34 (assume @p846 (forall @t699 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t22) @t897))) % 1.13/1.34 (assume @p847 (forall @t699 (=> @t896 @t897))) % 1.13/1.34 (assume @p848 (forall (@list @t354 @t122 @t294 @t22) (=> @t896 (= (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t294 @t122) @t899) @t898)))) % 1.13/1.34 (assume @p849 (forall @t847 (=> @t896 (= (= @t901 @t900) @t898)))) % 1.13/1.34 (assume @p850 (forall @t699 (=> (tptp.class_Groups_Oab__semigroup__add @t22) @t904))) % 1.13/1.34 (assume @p851 (forall @t906 (=> @t279 (=> @t905 (= @t353 (= @t354 @t770)))))) % 1.13/1.34 (assume @p852 (forall @t42 (=> (tptp.class_Groups_Oone @t22) (= (= @t24 @t40) @t787)))) % 1.13/1.34 (assume @p853 (forall @t687 (=> @t284 (= (= @t769 @t700) @t353)))) % 1.13/1.34 (assume @p854 (forall @t687 (=> @t284 (= (= @t769 @t294) (= @t700 @t122))))) % 1.13/1.34 (assume @p855 (forall @t687 (=> @t284 (= @t701 (= @t294 @t769))))) % 1.13/1.34 (assume @p856 (forall @t68 (=> @t284 (= (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t349) @t62)))) % 1.13/1.34 (assume @p857 (forall @t68 (=> @t893 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t707) @t707)))) % 1.13/1.34 (assume @p858 (forall @t68 (=> @t908 @t907))) % 1.13/1.34 (assume @p859 (forall @t68 (=> @t909 @t907))) % 1.13/1.34 (assume @p860 (forall @t126 (=> @t125 (= (= @t56 @t124) @t123)))) % 1.13/1.34 (assume @p861 (forall @t68 (=> @t908 @t910))) % 1.13/1.34 (assume @p862 (forall @t68 (=> @t909 @t910))) % 1.13/1.34 (assume @p863 (forall @t786 (=> @t913 (=> @t912 @t727)))) % 1.13/1.34 (assume @p864 (forall @t808 (=> @t913 (=> @t914 @t727)))) % 1.13/1.34 (assume @p865 (forall @t276 (=> @t915 (=> @t727 (=> @t726 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t278 @t277)))))) % 1.13/1.34 (assume @p866 (forall @t699 (=> @t915 (=> @t727 @t912)))) % 1.13/1.34 (assume @p867 (forall @t699 (=> @t915 (=> @t727 @t914)))) % 1.13/1.34 (assume @p868 (forall @t750 (=> @t913 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t899 @t916) @t800)))) % 1.13/1.34 (assume @p869 (forall @t746 (=> @t913 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t900 @t917) @t800)))) % 1.13/1.34 (assume @p870 (forall @t786 (=> @t913 (=> @t918 @t761)))) % 1.13/1.34 (assume @p871 (forall @t808 (=> @t913 (=> @t919 @t761)))) % 1.13/1.34 (assume @p872 (forall @t276 (=> @t922 (=> @t761 @t921)))) % 1.13/1.34 (assume @p873 (forall @t699 (=> @t922 (=> @t761 @t918)))) % 1.13/1.34 (assume @p874 (forall @t699 (=> @t922 (=> @t761 @t919)))) % 1.13/1.34 (assume @p875 (forall @t750 (=> @t913 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t899 @t916) @t743)))) % 1.13/1.34 (assume @p876 (forall @t746 (=> @t913 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t900 @t917) @t743)))) % 1.13/1.34 (assume @p877 (forall @t687 (=> @t284 (= @t923 @t353)))) % 1.13/1.34 (assume @p878 (forall @t687 (=> @t279 (= @t353 @t923)))) % 1.13/1.34 (assume @p879 (forall @t68 (=> @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t62) @t56)))) % 1.13/1.34 (assume @p880 (forall @t68 (=> @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t56) @t62)))) % 1.13/1.34 (assume @p881 (forall @t906 (=> @t924 (=> @t905 (= @t800 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t354 @t770)))))) % 1.13/1.34 (assume @p882 (forall @t906 (=> @t924 (=> @t905 (= @t743 (tptp.c_Orderings_Oord__class_Oless @t22 @t354 @t770)))))) % 1.13/1.34 (assume @p883 (forall @t126 (=> @t125 (= (= @t769 @t122) @t123)))) % 1.13/1.34 (assume @p884 (forall @t126 (=> @t284 (= (= @t769 @t56) @t123)))) % 1.13/1.34 (assume @p885 (forall @t126 (=> @t125 (= (= @t122 @t769) @t123)))) % 1.13/1.34 (assume @p886 (forall @t126 (=> @t284 (= (= @t56 @t769) (= @t56 @t122))))) % 1.13/1.34 (assume @p887 (forall @t27 (=> @t284 (= (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t56) @t56)))) % 1.13/1.34 (assume @p888 (forall @t68 (=> @t926 @t925))) % 1.13/1.34 (assume @p889 (forall @t68 (=> @t927 @t925))) % 1.13/1.34 (assume @p890 (forall @t68 (=> @t926 @t928))) % 1.13/1.34 (assume @p891 (forall @t68 (=> @t927 @t928))) % 1.13/1.34 (assume @p892 (forall @t188 (=> @t924 (=> @t727 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t351 @t349))))) % 1.13/1.34 (assume @p893 (forall @t789 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t700 @t769) @t800)))) % 1.13/1.34 (assume @p894 (forall @t687 (=> @t924 (= @t929 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t700 @t122))))) % 1.13/1.34 (assume @p895 (forall @t687 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t700) (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t294 @t769))))) % 1.13/1.34 (assume @p896 (forall @t188 (=> @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t268 @t152) @t62)))) % 1.13/1.34 (assume @p897 (forall @t188 (=> @t284 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t186 @t152) @t62)))) % 1.13/1.34 (assume @p898 (forall @t789 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t700 @t769) @t743)))) % 1.13/1.34 (assume @p899 (forall @t687 (=> @t924 (= @t795 (tptp.c_Orderings_Oord__class_Oless @t22 @t700 @t122))))) % 1.13/1.34 (assume @p900 (forall @t687 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t122 @t700) (tptp.c_Orderings_Oord__class_Oless @t22 @t294 @t769))))) % 1.13/1.34 (assume @p901 (forall @t188 (=> @t284 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t349 @t268) @t152)))) % 1.13/1.34 (assume @p902 (forall @t188 (=> @t284 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 (tptp.c_Groups_Oplus__class_Oplus @t22 @t349 @t152)) @t152)))) % 1.13/1.34 (assume @p903 (forall @t188 (=> @t284 (= @t930 (tptp.c_Groups_Oplus__class_Oplus @t22 @t351 @t349))))) % 1.13/1.34 (assume @p904 (forall @t188 (=> @t279 (= @t930 (tptp.c_Groups_Oplus__class_Oplus @t22 @t349 @t351))))) % 1.13/1.34 (assume @p905 (forall @t188 (=> @t279 (= (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t186) @t185)))) % 1.13/1.34 (assume @p906 (forall @t126 (=> @t893 (= (= @t796 @t56) @t123)))) % 1.13/1.34 (assume @p907 (forall @t27 (=> @t893 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t56) @t56)))) % 1.13/1.34 (assume @p908 (forall @t188 (=> @t893 (=> @t931 @t727)))) % 1.13/1.34 (assume @p909 (forall @t68 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t62 @t707)))) % 1.13/1.34 (assume @p910 (forall @t188 (=> @t893 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t891) @t891)))) % 1.13/1.34 (assume @p911 (forall @t188 (=> @t893 (= @t892 @t932)))) % 1.13/1.34 (assume @p912 (forall @t68 (=> @t893 (= (tptp.c_Groups_Oabs__class_Oabs @t22 @t349) @t707)))) % 1.13/1.34 (assume @p913 (forall @t76 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t73 @t74) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t73 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t74))))) % 1.13/1.34 (assume @p914 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t124) @t433)))) % 1.13/1.34 (assume @p915 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t124 @t56) @t438)))) % 1.13/1.34 (assume @p916 (forall @t188 (=> @t933 (=> @t719 (=> @t716 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t268)))))) % 1.13/1.34 (assume @p917 (forall @t163 (=> @t933 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t40) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t35) (= @t283 @t615)))))) % 1.13/1.34 (assume @p918 (forall @t699 (=> @t933 (=> @t719 (=> @t935 @t934))))) % 1.13/1.34 (assume @p919 (forall @t785 (=> @t933 (=> @t724 (=> @t733 @t934))))) % 1.13/1.34 (assume @p920 (forall @t188 (=> @t933 (=> @t717 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t268 @t56)))))) % 1.13/1.34 (assume @p921 (forall @t188 (=> @t933 (=> @t758 @t937)))) % 1.13/1.34 (assume @p922 (forall @t188 (=> @t933 (=> @t753 @t939)))) % 1.13/1.34 (assume @p923 (forall @t126 (=> @t125 @t138))) % 1.13/1.34 (assume @p924 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t124) @t416)))) % 1.13/1.34 (assume @p925 (forall @t276 (=> @t922 (=> @t727 @t921)))) % 1.13/1.34 (assume @p926 (forall @t276 (=> @t922 (=> @t761 (=> @t726 @t920))))) % 1.13/1.34 (assume @p927 (forall @t687 (=> @t924 (= @t800 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t772 @t56))))) % 1.13/1.34 (assume @p928 (forall @t687 (=> @t924 (= @t743 (tptp.c_Orderings_Oord__class_Oless @t22 @t772 @t56))))) % 1.13/1.34 (assume @p929 (forall @t126 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t769) @t438)))) % 1.13/1.34 (assume @p930 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t122 @t769) @t438)))) % 1.13/1.34 (assume @p931 (forall @t126 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t769 @t56) @t433)))) % 1.13/1.34 (assume @p932 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t769 @t122) @t433)))) % 1.13/1.34 (assume @p933 (forall @t126 (=> @t125 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t769 @t122) @t416)))) % 1.13/1.34 (assume @p934 (forall @t126 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t769 @t56) @t416)))) % 1.13/1.34 (assume @p935 (forall @t126 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t769) @t137)))) % 1.13/1.34 (assume @p936 (forall @t188 (=> @t284 (=> (= @t268 @t56) (= @t349 @t152))))) % 1.13/1.34 (assume @p937 (forall @t68 (=> @t279 @t940))) % 1.13/1.34 (assume @p938 (forall @t68 (=> @t284 @t940))) % 1.13/1.34 (assume @p939 (forall @t687 (=> @t284 (= @t701 (= @t901 @t56))))) % 1.13/1.34 (assume @p940 (forall @t68 (=> @t284 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t349) @t56)))) % 1.13/1.34 (assume @p941 (forall @t68 (=> @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t56 @t62) @t349)))) % 1.13/1.34 (assume @p942 (forall @t68 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t56 @t707)))) % 1.13/1.34 (assume @p943 (forall @t126 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t796 @t56) @t123)))) % 1.13/1.34 (assume @p944 (forall @t68 (=> @t893 (=> @t719 @t941)))) % 1.13/1.34 (assume @p945 (forall @t68 (=> @t893 (=> @t753 @t941)))) % 1.13/1.34 (assume @p946 (forall @t126 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless @t22 @t56 @t796) (not @t123))))) % 1.13/1.34 (assume @p947 (forall @t68 (=> @t893 (not (tptp.c_Orderings_Oord__class_Oless @t22 @t707 @t56))))) % 1.13/1.34 (assume @p948 (forall @t188 (=> @t284 (= (tptp.c_Groups_Ominus__class_Ominus @t22 @t62 @t351) @t268)))) % 1.13/1.34 (assume @p949 (forall @t188 (=> @t279 @t942))) % 1.13/1.34 (assume @p950 (forall @t188 (=> @t284 @t942))) % 1.13/1.34 (assume @p951 (forall @t188 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t268) @t891)))) % 1.13/1.34 (assume @p952 (forall @t188 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t943 @t932)))) % 1.13/1.34 (assume @p953 (forall @t188 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t943 @t892)))) % 1.13/1.34 (assume @p954 (forall @t188 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t943) @t892)))) % 1.13/1.34 (assume @p955 (forall @t188 (=> @t893 (=> @t931 @t944)))) % 1.13/1.34 (assume @p956 (forall @t188 (=> @t893 (=> @t727 (=> @t944 @t931))))) % 1.13/1.34 (assume @p957 (forall @t687 (=> @t893 (= (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t796 @t294) (and @t800 @t929))))) % 1.13/1.34 (assume @p958 (forall @t68 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 @t349 @t707)))) % 1.13/1.34 (assume @p959 (forall @t217 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t945) @t945))) % 1.13/1.34 (assume @p960 (forall @t188 (=> @t933 (=> @t717 @t937)))) % 1.13/1.34 (assume @p961 (forall @t188 (=> @t933 (=> @t758 (=> @t718 @t936))))) % 1.13/1.34 (assume @p962 (forall @t699 (=> @t933 (=> @t719 @t767)))) % 1.13/1.34 (assume @p963 (forall @t699 (=> @t933 (=> @t753 (=> @t935 @t766))))) % 1.13/1.34 (assume @p964 (forall @t188 (=> @t933 (=> @t719 @t939)))) % 1.13/1.34 (assume @p965 (forall @t188 (=> @t933 (=> @t753 (=> @t716 @t938))))) % 1.13/1.34 (assume @p966 (forall @t68 (=> @t893 (=> @t717 @t946)))) % 1.13/1.34 (assume @p967 (forall @t68 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t707) @t56)))) % 1.13/1.34 (assume @p968 (forall @t68 (=> @t893 @t947))) % 1.13/1.34 (assume @p969 (forall @t68 (=> (tptp.class_Groups_Oabs__if @t22) (and @t947 (=> (not @t758) @t941))))) % 1.13/1.34 (assume @p970 (forall @t276 (=> @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t275) (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.c_Groups_Oabs__class_Oabs @t22 @t273) (tptp.c_Groups_Oabs__class_Oabs @t22 @t272)))))) % 1.13/1.34 (assume @p971 (not (forall (@list @t948) (not (forall @t15 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t948 @t14) @t226)))))) % 1.13/1.34 (assume @p972 (forall @t68 (=> @t146 @t798))) % 1.13/1.34 (assume @p973 (forall @t958 (=> @t957 (= @t956 (tptp.c_Groups_Otimes__class_Otimes @t22 @t953 (tptp.c_Groups_Otimes__class_Otimes @t22 @t950 @t949)))))) % 1.13/1.34 (assume @p974 (forall @t958 (=> @t957 (= @t956 (tptp.c_Groups_Otimes__class_Otimes @t22 @t951 (tptp.c_Groups_Otimes__class_Otimes @t22 @t955 @t949)))))) % 1.13/1.34 (assume @p975 (forall @t958 (=> @t957 (= @t956 (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 (tptp.c_Groups_Otimes__class_Otimes @t22 @t950 @t954)))))) % 1.13/1.34 (assume @p976 (forall @t960 (=> @t957 (= @t959 (tptp.c_Groups_Otimes__class_Otimes @t22 @t953 @t950))))) % 1.13/1.34 (assume @p977 (forall @t960 (=> @t957 (= @t959 (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 (tptp.c_Groups_Otimes__class_Otimes @t22 @t950 @t951)))))) % 1.13/1.34 (assume @p978 (forall @t962 (=> @t957 (= @t961 (tptp.c_Groups_Otimes__class_Otimes @t22 @t953 @t949))))) % 1.13/1.34 (assume @p979 (forall @t962 (=> @t957 (= @t961 (tptp.c_Groups_Otimes__class_Otimes @t22 @t951 (tptp.c_Groups_Otimes__class_Otimes @t22 @t952 @t949)))))) % 1.13/1.34 (assume @p980 (forall @t188 (=> @t957 (= @t339 @t737)))) % 1.13/1.34 (assume @p981 (forall (@list @t192 @t62 @t22) (=> @t957 (= @t278 @t895)))) % 1.13/1.34 (assume @p982 (forall @t964 (=> @t957 (= @t963 (tptp.c_Groups_Oplus__class_Oplus @t22 @t192 (tptp.c_Groups_Oplus__class_Oplus @t22 @t62 @t271)))))) % 1.13/1.34 (assume @p983 (forall @t964 (=> @t957 (= @t963 (tptp.c_Groups_Oplus__class_Oplus @t22 @t278 @t271))))) % 1.13/1.34 (assume @p984 (forall @t699 (=> @t957 @t904))) % 1.13/1.34 (assume @p985 (forall @t699 (=> @t957 (= @t903 (tptp.c_Groups_Oplus__class_Oplus @t22 @t278 @t152))))) % 1.13/1.34 (assume @p986 (forall @t276 (=> @t957 (= (tptp.c_Groups_Oplus__class_Oplus @t22 @t268 @t274) (tptp.c_Groups_Oplus__class_Oplus @t22 @t278 @t277))))) % 1.13/1.34 (assume @p987 (forall @t68 (=> @t957 @t695))) % 1.13/1.34 (assume @p988 (forall @t68 (=> @t957 @t334))) % 1.13/1.34 (assume @p989 (forall @t68 (=> @t957 @t910))) % 1.13/1.34 (assume @p990 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p991 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p992 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p993 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p994 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p996 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p997 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p998 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p999 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1000 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1001 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1002 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1003 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1004 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1006 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1007 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1008 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1009 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1010 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1011 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1012 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1013 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1014 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1015 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1017 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1018 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1020 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1021 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1022 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1023 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1024 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1025 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1026 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1027 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1028 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1029 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1030 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1031 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1032 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1033 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1034 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1035 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1036 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1037 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1038 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1039 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1040 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1041 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1042 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1043 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1044 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1045 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1046 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1047 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1048 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1049 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1050 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1051 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1052 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1053 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1054 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1055 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1056 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1057 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1058 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1059 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1060 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1061 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1062 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1063 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1064 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1065 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1066 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1067 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1068 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1069 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1070 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1071 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1072 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1073 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1074 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1075 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1076 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1077 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1078 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1079 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1080 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1081 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1082 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1083 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1084 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1085 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1086 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1087 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1088 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1089 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1090 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1091 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1092 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1093 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1094 @t965) % 1.13/1.34 (assume @p1095 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1096 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1097 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1098 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1099 @t966) % 1.13/1.34 (assume @p1100 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1101 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1102 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1103 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1104 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1105 @t967) % 1.13/1.34 (assume @p1106 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1107 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1108 @t968) % 1.13/1.34 (assume @p1109 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1110 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1111 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1112 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1113 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1114 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1115 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1116 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1117 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1118 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1119 @t969) % 1.13/1.34 (assume @p1120 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1121 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1122 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1123 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1124 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1125 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1126 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1127 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1128 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1129 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1130 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1131 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1132 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1133 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1134 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1135 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1136 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1137 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1138 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1139 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1140 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1141 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1142 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1143 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1144 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1145 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1146 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1147 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1148 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1149 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1150 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1151 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1152 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1153 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1154 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1155 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1156 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1157 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1158 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1159 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1160 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1161 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1162 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1163 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1164 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1165 @t971) % 1.13/1.34 (assume @p1166 true) % 1.13/1.34 (step @p1167 :rule bool-impl-elim :args (@t432 @t798)) % 1.13/1.34 (step @p1168 :rule cong :premises (@p1167) :args (@t799)) % 1.13/1.34 (step @p1169 :rule eq_resolve :premises (@p714 @p1168)) % 1.13/1.34 (step @p1170 :rule instantiate :premises (@p1169) :args ((@list @t2 tptp.tc_RealDef_Oreal))) % 1.13/1.34 (step @p1171 :rule cnf_or_pos :args (@t974)) % 1.13/1.34 (step @p1172 :rule reordering :premises (@p1171) :args ((or @t973 @t972 (not @t974)))) % 1.13/1.34 (step @p1173 :rule chain_m_resolution :premises (@p1172 @p1108 @p1170) :args (@t972 @t975 (@list @t968 @t974))) % 1.13/1.34 (step @p1174 :rule bool-impl-elim :args (@t151 @t830)) % 1.13/1.34 (step @p1175 :rule cong :premises (@p1174) :args (@t831)) % 1.13/1.34 (step @p1176 :rule eq_resolve :premises (@p760 @p1175)) % 1.13/1.34 (step @p1177 :rule eq-symm :args (@t17 @t11)) % 1.13/1.34 (step @p1178 :rule refl :args (@t976)) % 1.13/1.34 (step @p1179 :rule nary_cong :premises (@p1178 @p1177) :args (@t977)) % 1.13/1.34 (step @p1180 :rule refl :args (@t978)) % 1.13/1.34 (step @p1181 :rule cong :premises (@p1180 @p1179) :args ((=> @t978 @t977))) % 1.13/1.34 (assume-push @p1273 @t978) % 1.13/1.34 (step @p1183 :rule instantiate :premises (@p1176) :args (@t979)) % 1.13/1.34 (step-pop @p1274 :rule scope :premises (@p1183)) % 1.13/1.34 (step @p1184 :rule process_scope :premises (@p1274) :args (@t977)) % 1.13/1.34 (step @p1186 :rule eq_resolve :premises (@p1184 @p1181)) % 1.13/1.34 (step @p1187 :rule implies_elim :premises (@p1186)) % 1.13/1.34 (step @p1188 :rule chain_m_resolution :premises (@p1187 @p1176) :args (@t981 @t982 (@list @t978))) % 1.13/1.34 (step @p1189 :rule cnf_or_pos :args (@t981)) % 1.13/1.34 (step @p1190 :rule reordering :premises (@p1189) :args ((or @t976 @t980 (not @t981)))) % 1.13/1.34 (step @p1191 :rule chain_m_resolution :premises (@p1190 @p1094 @p1188) :args (@t980 @t975 (@list @t965 @t981))) % 1.13/1.34 (step @p1192 :rule implies_elim :premises (@p7)) % 1.13/1.34 (step @p1193 :rule reordering :premises (@p1192) :args ((or @t21 (not @t10)))) % 1.13/1.34 (step @p1194 :rule chain_m_resolution :premises (@p1193 @p1) :args (@t21 @t982 (@list @t10))) % 1.13/1.34 (step @p1195 :rule aci_norm :args ((= (or @t985 @t986) (or @t985 @t984 @t983 @t835)))) % 1.13/1.34 (step @p1196 :rule aci_norm :args ((= (or @t984 (or @t983 @t835)) @t986))) % 1.13/1.34 (step @p1197 :rule bool-impl-elim :args (@t836 @t835)) % 1.13/1.34 (step @p1198 :rule refl :args (@t984)) % 1.13/1.34 (step @p1199 :rule nary_cong :premises (@p1198 @p1197) :args ((or @t984 @t837))) % 1.13/1.34 (step @p1200 :rule trans :premises (@p1199 @p1196)) % 1.13/1.34 (step @p1201 :rule bool-impl-elim :args (@t838 @t837)) % 1.13/1.34 (step @p1202 :rule trans :premises (@p1201 @p1200)) % 1.13/1.34 (step @p1203 :rule refl :args (@t985)) % 1.13/1.34 (step @p1204 :rule nary_cong :premises (@p1203 @p1202) :args ((or @t985 @t839))) % 1.13/1.34 (step @p1205 :rule trans :premises (@p1204 @p1195)) % 1.13/1.34 (step @p1206 :rule bool-impl-elim :args (@t824 @t839)) % 1.13/1.34 (step @p1207 :rule trans :premises (@p1206 @p1205)) % 1.13/1.34 (step @p1208 :rule cong :premises (@p1207) :args (@t840)) % 1.13/1.34 (step @p1209 :rule eq_resolve :premises (@p768 @p1208)) % 1.13/1.34 (step @p1210 :rule instantiate :premises (@p1209) :args (@t979)) % 1.13/1.34 (step @p1211 :rule aci_norm :args ((= (or (or @t988 @t987) @t148) @t989))) % 1.13/1.34 (step @p1212 :rule refl :args (@t148)) % 1.13/1.34 (step @p1213 :rule bool-and-de-morgan :args (@t26 @t37 true)) % 1.13/1.34 (step @p1214 :rule nary_cong :premises (@p1213 @p1212) :args ((or (not @t38) @t148))) % 1.13/1.34 (step @p1215 :rule trans :premises (@p1214 @p1211)) % 1.13/1.34 (step @p1216 :rule bool-impl-elim :args (@t38 @t148)) % 1.13/1.34 (step @p1217 :rule trans :premises (@p1216 @p1215)) % 1.13/1.34 (step @p1218 :rule cong :premises (@p1217) :args (@t149)) % 1.13/1.34 (step @p1219 :rule eq_resolve :premises (@p59 @p1218)) % 1.13/1.34 (step @p1220 :rule eq-symm :args (@t990 @t991)) % 1.13/1.34 (step @p1221 :rule refl :args (@t992)) % 1.13/1.34 (step @p1222 :rule refl :args (@t993)) % 1.13/1.34 (step @p1223 :rule nary_cong :premises (@p1222 @p1221 @p1220) :args (@t994)) % 1.13/1.34 (step @p1224 :rule refl :args (@t995)) % 1.13/1.34 (step @p1225 :rule cong :premises (@p1224 @p1223) :args ((=> @t995 @t994))) % 1.13/1.34 (assume-push @p1275 @t995) % 1.13/1.34 (step @p1227 :rule instantiate :premises (@p1219) :args ((@list @t7 tptp.tc_RealDef_Oreal))) % 1.13/1.34 (step-pop @p1276 :rule scope :premises (@p1227)) % 1.13/1.34 (step @p1228 :rule process_scope :premises (@p1276) :args (@t994)) % 1.13/1.34 (step @p1230 :rule eq_resolve :premises (@p1228 @p1225)) % 1.13/1.34 (step @p1231 :rule implies_elim :premises (@p1230)) % 1.13/1.34 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1219) :args (@t997 @t982 (@list @t995))) % 1.13/1.34 (step @p1233 :rule cnf_or_pos :args (@t997)) % 1.13/1.34 (step @p1234 :rule reordering :premises (@p1233) :args ((or @t992 @t993 @t996 (not @t997)))) % 1.13/1.34 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1105 @p1119 @p1232) :args (@t996 (@list false false false) (@list @t967 @t969 @t997))) % 1.13/1.34 (step @p1236 :rule instantiate :premises (@p584) :args ((@list @t7))) % 1.13/1.34 (step @p1237 :rule cnf_equiv_pos1 :args (@t998)) % 1.13/1.34 (step @p1238 :rule reordering :premises (@p1237) :args ((or (not @t671) @t991 (not @t998)))) % 1.13/1.34 (step @p1239 :rule chain_m_resolution :premises (@p1238 @p609 @p1236) :args (@t991 @t975 (@list @t671 @t998))) % 1.13/1.34 (step @p1240 :rule cnf_equiv_pos1 :args (@t996)) % 1.13/1.34 (step @p1241 :rule reordering :premises (@p1240) :args ((or @t990 (not @t991) (not @t996)))) % 1.13/1.34 (step @p1242 :rule chain_m_resolution :premises (@p1241 @p1239 @p1235) :args (@t990 @t975 (@list @t991 @t996))) % 1.13/1.34 (step @p1243 :rule cnf_or_pos :args (@t1002)) % 1.13/1.34 (step @p1244 :rule reordering :premises (@p1243) :args ((or @t20 @t999 @t1001 @t1000 (not @t1002)))) % 1.13/1.34 (step @p1245 :rule chain_m_resolution :premises (@p1244 @p4 @p1099 @p1242 @p1210) :args (@t20 (@list false false false false) (@list @t13 @t966 @t990 @t1002))) % 1.13/1.34 (step @p1246 :rule cnf_implies_pos :args (@t21)) % 1.13/1.34 (step @p1247 :rule reordering :premises (@p1246) :args ((or @t19 (not @t20) (not @t21)))) % 1.13/1.34 (step @p1248 :rule chain_m_resolution :premises (@p1247 @p1245 @p1194) :args (@t19 @t975 (@list @t20 @t21))) % 1.13/1.34 (step @p1249 :rule refl :args (@t1003)) % 1.13/1.34 (step @p1250 :rule refl :args (@t1004)) % 1.13/1.34 (step @p1251 :rule refl :args (@t1005)) % 1.13/1.34 (step @p1252 :rule bool-double-not-elim :args (@t970)) % 1.13/1.34 (step @p1253 :rule nary_cong :premises (@p1252 @p1251 @p1250 @p1249) :args ((or (not @t971) @t1005 @t1004 @t1003))) % 1.13/1.34 (assume-push @p1277 @t971) % 1.13/1.34 (assume-push @p1278 @t972) % 1.13/1.34 (assume-push @p1279 @t980) % 1.13/1.34 (step @p1257 :rule false_intro :premises (@p1165)) % 1.13/1.34 (step @p1258 :rule symm :premises (@p1191)) % 1.13/1.34 (step @p1259 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.13/1.34 (step @p1260 :rule cong :premises (@p1259 @p1173 @p1258) :args (@t19)) % 1.13/1.34 (step @p1261 :rule trans :premises (@p1260 @p1257)) % 1.13/1.34 (step @p1262 :rule false_elim :premises (@p1261)) % 1.13/1.34 (step-pop @p1280 :rule scope :premises (@p1262)) % 1.13/1.34 (step-pop @p1281 :rule scope :premises (@p1280)) % 1.13/1.34 (step-pop @p1282 :rule scope :premises (@p1281)) % 1.13/1.34 (step @p1263 :rule process_scope :premises (@p1282) :args (@t1003)) % 1.13/1.34 (step @p1267 :rule implies_elim :premises (@p1263)) % 1.13/1.34 (step @p1268 :rule cnf_and_neg :args (@t1006)) % 1.13/1.34 (step @p1269 :rule resolution :premises (@p1268 @p1267) :args (true @t1006)) % 1.13/1.34 (step @p1270 :rule eq_resolve :premises (@p1269 @p1253)) % 1.13/1.34 (step @p1271 :rule reordering :premises (@p1270) :args ((or @t970 @t1003 @t1005 @t1004))) % 1.13/1.34 (step @p1272 false :rule chain_m_resolution :premises (@p1271 @p1248 @p1191 @p1173 @p1165) :args (false (@list false false false true) (@list @t19 @t980 @t972 @t970))) % 1.13/1.34 ) % 1.13/1.34 % SZS output end Proof % 1.13/1.34 % cvc5 exiting %------------------------------------------------------------------------------