%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW192+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:04:29 AM UTC 2026 % Result : Theorem 2.62s 2.80s % Output : Proof 2.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW192+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 21:37:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 2.62/2.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.62/2.80 % SZS status Theorem % 2.62/2.80 % SZS output start Proof % 2.62/2.80 ( % 2.62/2.80 (declare-sort $$unsorted 0) % 2.62/2.80 (declare-const tptp.c_Complex_Oii $$unsorted) % 2.62/2.80 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Parity_Oeven__odd__class_Oeven (-> $$unsorted $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Int_Oiszero (-> $$unsorted $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.tc_HOL_Obool $$unsorted) % 2.62/2.80 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.tc_Int_Oint $$unsorted) % 2.62/2.80 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Int_OMin $$unsorted) % 2.62/2.80 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Int_OPls $$unsorted) % 2.62/2.80 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 2.62/2.80 (declare-const tptp.tc_Code__Numeral_Ocode__numeral $$unsorted) % 2.62/2.80 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.v_z $$unsorted) % 2.62/2.80 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.tc_Nat_Onat $$unsorted) % 2.62/2.80 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.v_x____ $$unsorted) % 2.62/2.80 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 2.62/2.80 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.v_y____ $$unsorted) % 2.62/2.80 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 2.62/2.80 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 2.62/2.80 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 2.62/2.80 (define @t1 () (@var "V_g_2" $$unsorted)) % 2.62/2.80 (define @t2 () (@var "V_f_2" $$unsorted)) % 2.62/2.80 (define @t3 () (@var "B_x" $$unsorted)) % 2.62/2.80 (define @t4 () (tptp.hAPP @t1 @t3)) % 2.62/2.80 (define @t5 () (tptp.hAPP @t2 @t3)) % 2.62/2.80 (define @t6 () (@list @t3)) % 2.62/2.80 (define @t7 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 2.62/2.80 (define @t8 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z)) % 2.62/2.80 (define @t9 () (= @t8 @t7)) % 2.62/2.80 (define @t10 () (tptp.c_Complex_Ocomplex_OComplex tptp.v_x____ tptp.v_y____)) % 2.62/2.80 (define @t11 () (= tptp.v_z @t10)) % 2.62/2.80 (define @t12 () (@var "T_a" $$unsorted)) % 2.62/2.80 (define @t13 () (tptp.c_Groups_Oone__class_Oone @t12)) % 2.62/2.80 (define @t14 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 2.62/2.80 (define @t15 () (tptp.c_Int_OBit0 @t14)) % 2.62/2.80 (define @t16 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t15)) % 2.62/2.80 (define @t17 () (tptp.c_Power_Opower__class_Opower @t12)) % 2.62/2.80 (define @t18 () (tptp.hAPP @t17 @t13)) % 2.62/2.80 (define @t19 () (tptp.class_Rings_Osemiring__1 @t12)) % 2.62/2.80 (define @t20 () (@list @t12)) % 2.62/2.80 (define @t21 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t15)) % 2.62/2.80 (define @t22 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t13 @t13)) % 2.62/2.80 (define @t23 () (tptp.class_Int_Onumber__ring @t12)) % 2.62/2.80 (define @t24 () (@var "V_w" $$unsorted)) % 2.62/2.80 (define @t25 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t24)) % 2.62/2.80 (define @t26 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t13 @t25)) % 2.62/2.80 (define @t27 () (@list @t24 @t12)) % 2.62/2.80 (define @t28 () (@var "V_v" $$unsorted)) % 2.62/2.80 (define @t29 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t28)) % 2.62/2.80 (define @t30 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t14)) % 2.62/2.80 (define @t31 () (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Int_OBit1 @t24))) % 2.62/2.80 (define @t32 () (@var "V_a" $$unsorted)) % 2.62/2.80 (define @t33 () (tptp.c_Int_Onumber__class_Onumber__of @t12 tptp.c_Int_OPls)) % 2.62/2.80 (define @t34 () (@list @t32 @t12)) % 2.62/2.80 (define @t35 () (@var "V_l_2" $$unsorted)) % 2.62/2.80 (define @t36 () (tptp.c_Int_OBit0 @t35)) % 2.62/2.80 (define @t37 () (@list @t35)) % 2.62/2.80 (define @t38 () (@var "V_k_2" $$unsorted)) % 2.62/2.80 (define @t39 () (tptp.c_Int_OBit0 @t38)) % 2.62/2.80 (define @t40 () (@list @t38)) % 2.62/2.80 (define @t41 () (@var "V_k" $$unsorted)) % 2.62/2.80 (define @t42 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 2.62/2.80 (define @t43 () (tptp.c_Int_OBit1 @t41)) % 2.62/2.80 (define @t44 () (@list @t41)) % 2.62/2.80 (define @t45 () (@var "V_z" $$unsorted)) % 2.62/2.80 (define @t46 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t45)) % 2.62/2.80 (define @t47 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t45 @t24)) % 2.62/2.80 (define @t48 () (@list @t24 @t45)) % 2.62/2.80 (define @t49 () (@var "V_x" $$unsorted)) % 2.62/2.80 (define @t50 () (@var "V_y" $$unsorted)) % 2.62/2.80 (define @t51 () (@list @t45 @t50 @t49)) % 2.62/2.80 (define @t52 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t24)) % 2.62/2.80 (define @t53 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t24)) % 2.62/2.80 (define @t54 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t28)) % 2.62/2.80 (define @t55 () (@list @t24 @t28)) % 2.62/2.80 (define @t56 () (@var "V_z3" $$unsorted)) % 2.62/2.80 (define @t57 () (@var "V_z2" $$unsorted)) % 2.62/2.80 (define @t58 () (@var "V_z1" $$unsorted)) % 2.62/2.80 (define @t59 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 @t57)) % 2.62/2.80 (define @t60 () (@list @t56 @t57 @t58)) % 2.62/2.80 (define @t61 () (@var "V_l" $$unsorted)) % 2.62/2.80 (define @t62 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t61)) % 2.62/2.80 (define @t63 () (tptp.c_Int_OBit0 @t61)) % 2.62/2.80 (define @t64 () (tptp.c_Int_OBit0 @t41)) % 2.62/2.80 (define @t65 () (@list @t61 @t41)) % 2.62/2.80 (define @t66 () (tptp.c_Int_OBit1 @t62)) % 2.62/2.80 (define @t67 () (tptp.c_Int_OBit1 @t61)) % 2.62/2.80 (define @t68 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 2.62/2.80 (define @t69 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t14)) % 2.62/2.80 (define @t70 () (@var "V_ya_2" $$unsorted)) % 2.62/2.80 (define @t71 () (@var "V_xa_2" $$unsorted)) % 2.62/2.80 (define @t72 () (= @t71 @t70)) % 2.62/2.80 (define @t73 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t70)) % 2.62/2.80 (define @t74 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t71)) % 2.62/2.80 (define @t75 () (= @t74 @t73)) % 2.62/2.80 (define @t76 () (and @t23 (tptp.class_Int_Oring__char__0 @t12))) % 2.62/2.80 (define @t77 () (@list @t70 @t71 @t12)) % 2.62/2.80 (define @t78 () (@var "V_w_2" $$unsorted)) % 2.62/2.80 (define @t79 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t78)) % 2.62/2.80 (define @t80 () (tptp.class_Int_Onumber @t12)) % 2.62/2.80 (define @t81 () (= @t38 @t35)) % 2.62/2.80 (define @t82 () (tptp.c_Int_OBit1 @t35)) % 2.62/2.80 (define @t83 () (tptp.c_Int_OBit1 @t38)) % 2.62/2.80 (define @t84 () (@list @t35 @t38)) % 2.62/2.80 (define @t85 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t52)) % 2.62/2.80 (define @t86 () (@list @t45 @t24 @t28 @t12)) % 2.62/2.80 (define @t87 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t29 @t25)) % 2.62/2.80 (define @t88 () (@list @t24 @t28 @t12)) % 2.62/2.80 (define @t89 () (@list @t61)) % 2.62/2.80 (define @t90 () (@var "B_y" $$unsorted)) % 2.62/2.80 (define @t91 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 2.62/2.80 (define @t92 () (@list @t45)) % 2.62/2.80 (define @t93 () (@var "V_n" $$unsorted)) % 2.62/2.80 (define @t94 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t49)) % 2.62/2.80 (define @t95 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 2.62/2.80 (define @t96 () (tptp.hAPP (tptp.hAPP @t95 @t94) @t93)) % 2.62/2.80 (define @t97 () (tptp.hAPP @t17 @t49)) % 2.62/2.80 (define @t98 () (tptp.hAPP @t97 @t93)) % 2.62/2.80 (define @t99 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t98)) % 2.62/2.80 (define @t100 () (tptp.class_RealVector_Oreal__normed__div__algebra @t12)) % 2.62/2.80 (define @t101 () (@list @t93 @t49 @t12)) % 2.62/2.80 (define @t102 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t12)) % 2.62/2.80 (define @t103 () (@var "V_d" $$unsorted)) % 2.62/2.80 (define @t104 () (@var "V_b" $$unsorted)) % 2.62/2.80 (define @t105 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t104 @t103)) % 2.62/2.80 (define @t106 () (@var "V_c" $$unsorted)) % 2.62/2.80 (define @t107 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 @t106)) % 2.62/2.80 (define @t108 () (tptp.c_Complex_Ocomplex_OComplex @t32 @t104)) % 2.62/2.80 (define @t109 () (tptp.c_Groups_Otimes__class_Otimes @t12)) % 2.62/2.80 (define @t110 () (tptp.hAPP @t109 @t21)) % 2.62/2.80 (define @t111 () (tptp.hAPP @t17 @t50)) % 2.62/2.80 (define @t112 () (tptp.hAPP @t111 @t16)) % 2.62/2.80 (define @t113 () (tptp.hAPP @t97 @t16)) % 2.62/2.80 (define @t114 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t113 @t112)) % 2.62/2.80 (define @t115 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t49 @t50)) % 2.62/2.80 (define @t116 () (@list @t50 @t49 @t12)) % 2.62/2.80 (define @t117 () (tptp.class_Groups_Omonoid__mult @t12)) % 2.62/2.80 (define @t118 () (@list @t93 @t12)) % 2.62/2.80 (define @t119 () (tptp.c_Groups_Ozero__class_Ozero @t12)) % 2.62/2.80 (define @t120 () (= @t70 @t119)) % 2.62/2.80 (define @t121 () (= @t71 @t119)) % 2.62/2.80 (define @t122 () (and @t121 @t120)) % 2.62/2.80 (define @t123 () (tptp.hAPP @t17 @t70)) % 2.62/2.80 (define @t124 () (tptp.hAPP @t17 @t71)) % 2.62/2.80 (define @t125 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t124 @t16) (tptp.hAPP @t123 @t16))) % 2.62/2.80 (define @t126 () (tptp.class_Rings_Olinordered__idom @t12)) % 2.62/2.80 (define @t127 () (@var "T_b" $$unsorted)) % 2.62/2.80 (define @t128 () (tptp.c_Int_Onumber__class_Onumber__of @t127 @t24)) % 2.62/2.80 (define @t129 () (tptp.c_Groups_Otimes__class_Otimes @t127)) % 2.62/2.80 (define @t130 () (tptp.class_Int_Onumber @t127)) % 2.62/2.80 (define @t131 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t13)) % 2.62/2.80 (define @t132 () (@var "V_a_2" $$unsorted)) % 2.62/2.80 (define @t133 () (tptp.hAPP @t17 @t132)) % 2.62/2.80 (define @t134 () (tptp.hAPP @t133 @t16)) % 2.62/2.80 (define @t135 () (tptp.class_Rings_Oring__1__no__zero__divisors @t12)) % 2.62/2.80 (define @t136 () (@list @t132 @t12)) % 2.62/2.80 (define @t137 () (tptp.hAPP (tptp.hAPP @t95 @t50) @t16)) % 2.62/2.80 (define @t138 () (tptp.hAPP @t95 @t49)) % 2.62/2.80 (define @t139 () (tptp.hAPP @t138 @t16)) % 2.62/2.80 (define @t140 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t139 @t137)) % 2.62/2.80 (define @t141 () (tptp.c_NthRoot_Osqrt @t140)) % 2.62/2.80 (define @t142 () (@list @t50 @t49)) % 2.62/2.80 (define @t143 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 2.62/2.80 (define @t144 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 2.62/2.80 (define @t145 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 2.62/2.80 (define @t146 () (tptp.class_RealVector_Oreal__normed__vector @t12)) % 2.62/2.80 (define @t147 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t24)) % 2.62/2.80 (define @t148 () (@list @t24)) % 2.62/2.80 (define @t149 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t104)) % 2.62/2.80 (define @t150 () (@list @t104 @t32)) % 2.62/2.80 (define @t151 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t50)) % 2.62/2.80 (define @t152 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 2.62/2.80 (define @t153 () (tptp.hAPP (tptp.hAPP @t152 @t94) @t151)) % 2.62/2.80 (define @t154 () (tptp.hAPP @t109 @t49)) % 2.62/2.80 (define @t155 () (tptp.hAPP @t154 @t50)) % 2.62/2.80 (define @t156 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t155)) % 2.62/2.80 (define @t157 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 2.62/2.80 (define @t158 () (tptp.hAPP @t157 @t45)) % 2.62/2.80 (define @t159 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 2.62/2.80 (define @t160 () (tptp.hAPP @t159 @t49)) % 2.62/2.80 (define @t161 () (tptp.hAPP @t160 @t50)) % 2.62/2.80 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t45)) % 2.62/2.80 (define @t163 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t71)) % 2.62/2.80 (define @t164 () (@list @t71 @t12)) % 2.62/2.80 (define @t165 () (tptp.hAPP @t157 @t28)) % 2.62/2.80 (define @t166 () (tptp.hAPP @t165 @t24)) % 2.62/2.80 (define @t167 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t147)) % 2.62/2.80 (define @t168 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t25)) % 2.62/2.80 (define @t169 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 2.62/2.80 (define @t170 () (@var "V_n_2" $$unsorted)) % 2.62/2.80 (define @t171 () (= @t170 @t169)) % 2.62/2.80 (define @t172 () (not @t171)) % 2.62/2.80 (define @t173 () (= @t132 @t119)) % 2.62/2.80 (define @t174 () (tptp.hAPP @t133 @t170)) % 2.62/2.80 (define @t175 () (tptp.class_Rings_Ozero__neq__one @t12)) % 2.62/2.80 (define @t176 () (tptp.class_Rings_Ono__zero__divisors @t12)) % 2.62/2.80 (define @t177 () (tptp.class_Rings_Omult__zero @t12)) % 2.62/2.80 (define @t178 () (tptp.class_Power_Opower @t12)) % 2.62/2.80 (define @t179 () (and @t178 @t177 @t176 @t175)) % 2.62/2.80 (define @t180 () (@var "V_b_2" $$unsorted)) % 2.62/2.80 (define @t181 () (= @t180 @t144)) % 2.62/2.80 (define @t182 () (tptp.c_Complex_Ocomplex_OComplex @t132 @t180)) % 2.62/2.80 (define @t183 () (@list @t180 @t132)) % 2.62/2.80 (define @t184 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t49)) % 2.62/2.80 (define @t185 () (tptp.class_RealVector_Oreal__normed__algebra @t12)) % 2.62/2.80 (define @t186 () (tptp.hAPP @t109 @t32)) % 2.62/2.80 (define @t187 () (tptp.hAPP @t186 @t104)) % 2.62/2.80 (define @t188 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t187)) % 2.62/2.80 (define @t189 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t32)) % 2.62/2.80 (define @t190 () (tptp.hAPP @t109 @t189)) % 2.62/2.80 (define @t191 () (tptp.hAPP @t190 @t104)) % 2.62/2.80 (define @t192 () (@list @t104 @t32 @t12)) % 2.62/2.80 (define @t193 () (@var "V_xa" $$unsorted)) % 2.62/2.80 (define @t194 () (tptp.hAPP @t109 @t193)) % 2.62/2.80 (define @t195 () (tptp.hAPP @t194 @t49)) % 2.62/2.80 (define @t196 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t104)) % 2.62/2.80 (define @t197 () (tptp.hAPP @t186 @t196)) % 2.62/2.80 (define @t198 () (@list @t49 @t12)) % 2.62/2.80 (define @t199 () (= (tptp.hAPP @t186 @t119) @t119)) % 2.62/2.80 (define @t200 () (tptp.hAPP @t109 @t119)) % 2.62/2.80 (define @t201 () (@list @t50 @t12)) % 2.62/2.80 (define @t202 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t166)) % 2.62/2.80 (define @t203 () (tptp.hAPP @t109 @t29)) % 2.62/2.80 (define @t204 () (tptp.hAPP @t203 @t25)) % 2.62/2.80 (define @t205 () (tptp.hAPP @t109 @t71)) % 2.62/2.80 (define @t206 () (tptp.hAPP @t205 @t71)) % 2.62/2.80 (define @t207 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t206 (tptp.hAPP (tptp.hAPP @t109 @t70) @t70))) % 2.62/2.80 (define @t208 () (tptp.class_Rings_Olinordered__ring__strict @t12)) % 2.62/2.80 (define @t209 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t45)) % 2.62/2.80 (define @t210 () (@var "V_b_H" $$unsorted)) % 2.62/2.80 (define @t211 () (@var "V_a_H" $$unsorted)) % 2.62/2.80 (define @t212 () (@var "V_ya" $$unsorted)) % 2.62/2.80 (define @t213 () (tptp.hAPP @t109 @t50)) % 2.62/2.80 (define @t214 () (@list @t212 @t50 @t49 @t12)) % 2.62/2.80 (define @t215 () (tptp.hAPP @t17 @t32)) % 2.62/2.80 (define @t216 () (tptp.hAPP @t215 @t93)) % 2.62/2.80 (define @t217 () (tptp.hAPP @t186 @t216)) % 2.62/2.80 (define @t218 () (tptp.hAPP @t109 @t216)) % 2.62/2.80 (define @t219 () (tptp.hAPP @t218 @t32)) % 2.62/2.80 (define @t220 () (@list @t93 @t32 @t12)) % 2.62/2.80 (define @t221 () (tptp.hAPP @t17 @t104)) % 2.62/2.80 (define @t222 () (tptp.hAPP @t221 @t93)) % 2.62/2.80 (define @t223 () (tptp.class_Groups_Ocomm__monoid__mult @t12)) % 2.62/2.80 (define @t224 () (@list @t93 @t104 @t32 @t12)) % 2.62/2.80 (define @t225 () (@var "V_m" $$unsorted)) % 2.62/2.80 (define @t226 () (tptp.hAPP @t215 @t225)) % 2.62/2.80 (define @t227 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t93)) % 2.62/2.80 (define @t228 () (@list @t93 @t225 @t32 @t12)) % 2.62/2.80 (define @t229 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 2.62/2.80 (define @t230 () (tptp.hAPP @t229 @t225)) % 2.62/2.80 (define @t231 () (tptp.hAPP @t230 @t93)) % 2.62/2.80 (define @t232 () (= @t32 @t119)) % 2.62/2.80 (define @t233 () (not @t232)) % 2.62/2.80 (define @t234 () (tptp.hAPP @t17 @t131)) % 2.62/2.80 (define @t235 () (tptp.hAPP @t17 @t189)) % 2.62/2.80 (define @t236 () (tptp.class_Rings_Oring__1 @t12)) % 2.62/2.80 (define @t237 () (tptp.hAPP @t17 @t119)) % 2.62/2.80 (define @t238 () (tptp.hAPP @t237 @t93)) % 2.62/2.80 (define @t239 () (= @t93 @t169)) % 2.62/2.80 (define @t240 () (not @t239)) % 2.62/2.80 (define @t241 () (and @t178 (tptp.class_Rings_Osemiring__0 @t12))) % 2.62/2.80 (define @t242 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls)) % 2.62/2.80 (define @t243 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t41)) % 2.62/2.80 (define @t244 () (tptp.hAPP @t157 @t41)) % 2.62/2.80 (define @t245 () (tptp.c_Int_OBit0 (tptp.hAPP @t244 @t61))) % 2.62/2.80 (define @t246 () (tptp.hAPP @t157 @t57)) % 2.62/2.80 (define @t247 () (tptp.hAPP @t157 @t58)) % 2.62/2.80 (define @t248 () (@list @t24 @t57 @t58)) % 2.62/2.80 (define @t249 () (tptp.hAPP @t157 @t24)) % 2.62/2.80 (define @t250 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t132 @t132)) % 2.62/2.80 (define @t251 () (tptp.class_Groups_Olinordered__ab__group__add @t12)) % 2.62/2.80 (define @t252 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 2.62/2.80 (define @t253 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t42 @t45)) % 2.62/2.80 (define @t254 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 2.62/2.80 (define @t255 () (tptp.c_Int_Onumber__class_Onumber__of @t127 @t28)) % 2.62/2.80 (define @t256 () (tptp.hAPP @t129 @t255)) % 2.62/2.80 (define @t257 () (and @t130 (tptp.class_Rings_Osemiring @t127))) % 2.62/2.80 (define @t258 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 2.62/2.80 (define @t259 () (tptp.hAPP @t229 @t16)) % 2.62/2.80 (define @t260 () (tptp.hAPP @t259 @t93)) % 2.62/2.80 (define @t261 () (tptp.hAPP @t215 @t260)) % 2.62/2.80 (define @t262 () (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Int_OBit0 @t24))) % 2.62/2.80 (define @t263 () (@var "V_real2_H_2" $$unsorted)) % 2.62/2.80 (define @t264 () (@var "V_real2_2" $$unsorted)) % 2.62/2.80 (define @t265 () (@var "V_real1_H_2" $$unsorted)) % 2.62/2.80 (define @t266 () (@var "V_real1_2" $$unsorted)) % 2.62/2.80 (define @t267 () (tptp.c_Complex_Ocomplex_OComplex @t266 @t264)) % 2.62/2.80 (define @t268 () (tptp.hAPP @t109 @t22)) % 2.62/2.80 (define @t269 () (tptp.hAPP @t186 @t32)) % 2.62/2.80 (define @t270 () (tptp.c_Int_OBit1 @t14)) % 2.62/2.80 (define @t271 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t270)) % 2.62/2.80 (define @t272 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t45)) % 2.62/2.80 (define @t273 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t15)) % 2.62/2.80 (define @t274 () (tptp.hAPP @t152 @t273)) % 2.62/2.80 (define @t275 () (tptp.hAPP @t274 @t49)) % 2.62/2.80 (define @t276 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 @t50)) % 2.62/2.80 (define @t277 () (tptp.hAPP @t215 @t16)) % 2.62/2.80 (define @t278 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t45 @t45)) % 2.62/2.80 (define @t279 () (tptp.hAPP @t109 @t45)) % 2.62/2.80 (define @t280 () (@list @t45 @t12)) % 2.62/2.80 (define @t281 () (tptp.hAPP (tptp.hAPP @t17 @t216) @t16)) % 2.62/2.80 (define @t282 () (tptp.hAPP (tptp.hAPP @t152 @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t193) @t16) (tptp.hAPP (tptp.hAPP @t95 @t212) @t16)))) % 2.62/2.80 (define @t283 () (tptp.c_NthRoot_Osqrt @t282)) % 2.62/2.80 (define @t284 () (@list @t212 @t193 @t50 @t49)) % 2.62/2.80 (define @t285 () (= @t49 @t144)) % 2.62/2.80 (define @t286 () (= @t71 @t144)) % 2.62/2.80 (define @t287 () (and @t286 (= @t70 @t144))) % 2.62/2.80 (define @t288 () (@list @t70 @t71)) % 2.62/2.80 (define @t289 () (tptp.hAPP (tptp.hAPP @t109 @t98) @t98)) % 2.62/2.80 (define @t290 () (tptp.class_Rings_Ocomm__semiring__1 @t12)) % 2.62/2.80 (define @t291 () (tptp.hAPP @t154 @t49)) % 2.62/2.80 (define @t292 () (@list @t49)) % 2.62/2.80 (define @t293 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t24)) % 2.62/2.80 (define @t294 () (tptp.hAPP @t237 @t293)) % 2.62/2.80 (define @t295 () (= @t293 @t169)) % 2.62/2.80 (define @t296 () (@var "V_q" $$unsorted)) % 2.62/2.80 (define @t297 () (@var "V_p" $$unsorted)) % 2.62/2.80 (define @t298 () (tptp.hAPP @t97 @t296)) % 2.62/2.80 (define @t299 () (tptp.hAPP @t97 @t297)) % 2.62/2.80 (define @t300 () (@list @t296 @t297 @t49 @t12)) % 2.62/2.80 (define @t301 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t78)) % 2.62/2.80 (define @t302 () (= @t301 @t169)) % 2.62/2.80 (define @t303 () (tptp.hAPP @t158 @t24)) % 2.62/2.80 (define @t304 () (= @t132 @t180)) % 2.62/2.80 (define @t305 () (@var "V_c_2" $$unsorted)) % 2.62/2.80 (define @t306 () (tptp.hAPP @t152 @t305)) % 2.62/2.80 (define @t307 () (not (= @t305 @t144))) % 2.62/2.80 (define @t308 () (@list @t180 @t132 @t305)) % 2.62/2.80 (define @t309 () (tptp.hAPP @t152 @t57)) % 2.62/2.80 (define @t310 () (tptp.hAPP @t152 @t58)) % 2.62/2.80 (define @t311 () (tptp.hAPP @t152 @t45)) % 2.62/2.80 (define @t312 () (tptp.hAPP @t109 @t104)) % 2.62/2.80 (define @t313 () (tptp.hAPP @t312 @t32)) % 2.62/2.80 (define @t314 () (@var "V_ry" $$unsorted)) % 2.62/2.80 (define @t315 () (@var "V_lx" $$unsorted)) % 2.62/2.80 (define @t316 () (tptp.hAPP @t109 @t315)) % 2.62/2.80 (define @t317 () (@var "V_rx" $$unsorted)) % 2.62/2.80 (define @t318 () (tptp.hAPP @t109 @t317)) % 2.62/2.80 (define @t319 () (tptp.hAPP @t318 @t314)) % 2.62/2.80 (define @t320 () (tptp.hAPP @t316 @t319)) % 2.62/2.80 (define @t321 () (@list @t314 @t317 @t315 @t12)) % 2.62/2.80 (define @t322 () (tptp.hAPP @t109 (tptp.hAPP @t316 @t317))) % 2.62/2.81 (define @t323 () (@var "V_ly" $$unsorted)) % 2.62/2.81 (define @t324 () (tptp.hAPP @t109 @t323)) % 2.62/2.81 (define @t325 () (tptp.hAPP @t109 (tptp.hAPP @t316 @t323))) % 2.62/2.81 (define @t326 () (tptp.hAPP @t325 @t317)) % 2.62/2.81 (define @t327 () (@list @t317 @t323 @t315 @t12)) % 2.62/2.81 (define @t328 () (tptp.hAPP @t325 @t319)) % 2.62/2.81 (define @t329 () (@list @t314 @t317 @t323 @t315 @t12)) % 2.62/2.81 (define @t330 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t104 @t103)) % 2.62/2.81 (define @t331 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t106)) % 2.62/2.81 (define @t332 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t106 @t103)) % 2.62/2.81 (define @t333 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t104)) % 2.62/2.81 (define @t334 () (@list @t103 @t106 @t104 @t32 @t12)) % 2.62/2.81 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t333 @t106)) % 2.62/2.81 (define @t336 () (@list @t106 @t104 @t32 @t12)) % 2.62/2.81 (define @t337 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t104 @t106)) % 2.62/2.81 (define @t338 () (= @t335 (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t337))) % 2.62/2.81 (define @t339 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t332)) % 2.62/2.81 (define @t340 () (@list @t103 @t106 @t32 @t12)) % 2.62/2.81 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t106 @t32)) % 2.62/2.81 (define @t342 () (tptp.hAPP @t152 @t70)) % 2.62/2.81 (define @t343 () (tptp.hAPP @t152 @t71)) % 2.62/2.81 (define @t344 () (tptp.hAPP @t343 @t71)) % 2.62/2.81 (define @t345 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t71)) % 2.62/2.81 (define @t346 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t71 @t70)) % 2.62/2.81 (define @t347 () (tptp.c_NthRoot_Osqrt @t49)) % 2.62/2.81 (define @t348 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t49)) % 2.62/2.81 (define @t349 () (tptp.c_NthRoot_Osqrt @t50)) % 2.62/2.81 (define @t350 () (tptp.hAPP @t152 @t49)) % 2.62/2.81 (define @t351 () (tptp.hAPP @t350 @t50)) % 2.62/2.81 (define @t352 () (tptp.c_NthRoot_Osqrt @t71)) % 2.62/2.81 (define @t353 () (@list @t71)) % 2.62/2.81 (define @t354 () (tptp.c_NthRoot_Osqrt @t70)) % 2.62/2.81 (define @t355 () (= @t352 @t354)) % 2.62/2.81 (define @t356 () (forall @t288 (= @t355 @t72))) % 2.62/2.81 (define @t357 () (= (tptp.hAPP @t200 @t32) @t119)) % 2.62/2.81 (define @t358 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t180 @t132)) % 2.62/2.81 (define @t359 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t12)) % 2.62/2.81 (define @t360 () (@list @t132 @t180 @t12)) % 2.62/2.81 (define @t361 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t119) @t32)) % 2.62/2.81 (define @t362 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t119 @t32) @t32)) % 2.62/2.81 (define @t363 () (@var "V_za_2" $$unsorted)) % 2.62/2.81 (define @t364 () (tptp.hAPP @t109 @t78)) % 2.62/2.81 (define @t365 () (tptp.hAPP @t205 @t363)) % 2.62/2.81 (define @t366 () (tptp.hAPP @t364 @t70)) % 2.62/2.81 (define @t367 () (tptp.hAPP @t109 @t333)) % 2.62/2.81 (define @t368 () (tptp.hAPP @t186 @t225)) % 2.62/2.81 (define @t369 () (tptp.hAPP @t312 @t106)) % 2.62/2.81 (define @t370 () (tptp.hAPP @t186 @t106)) % 2.62/2.81 (define @t371 () (= (tptp.hAPP @t367 @t106) (tptp.c_Groups_Oplus__class_Oplus @t12 @t370 @t369))) % 2.62/2.81 (define @t372 () (tptp.hAPP @t109 @t180)) % 2.62/2.81 (define @t373 () (tptp.hAPP @t372 @t305)) % 2.62/2.81 (define @t374 () (@var "V_d_2" $$unsorted)) % 2.62/2.81 (define @t375 () (tptp.hAPP @t109 @t132)) % 2.62/2.81 (define @t376 () (tptp.hAPP @t375 @t305)) % 2.62/2.81 (define @t377 () (tptp.hAPP @t154 @t45)) % 2.62/2.81 (define @t378 () (@list @t45 @t50 @t49 @t12)) % 2.62/2.81 (define @t379 () (= (tptp.hAPP @t186 @t13) @t32)) % 2.62/2.81 (define @t380 () (= (tptp.hAPP (tptp.hAPP @t109 @t13) @t32) @t32)) % 2.62/2.81 (define @t381 () (tptp.hAPP @t109 @t298)) % 2.62/2.81 (define @t382 () (tptp.hAPP @t95 @t347)) % 2.62/2.81 (define @t383 () (tptp.c_NthRoot_Osqrt @t7)) % 2.62/2.81 (define @t384 () (@var "V_r" $$unsorted)) % 2.62/2.81 (define @t385 () (tptp.hAPP @t109 @t384)) % 2.62/2.81 (define @t386 () (= @t32 @t104)) % 2.62/2.81 (define @t387 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t71 @t70) @t119)) % 2.62/2.81 (define @t388 () (tptp.class_Groups_Ogroup__add @t12)) % 2.62/2.81 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t13)) % 2.62/2.81 (define @t390 () (tptp.hAPP (tptp.hAPP @t109 @t389) @t225)) % 2.62/2.81 (define @t391 () (@var "V_real2" $$unsorted)) % 2.62/2.81 (define @t392 () (@var "V_real1" $$unsorted)) % 2.62/2.81 (define @t393 () (tptp.c_Complex_Ocomplex_OComplex @t392 @t391)) % 2.62/2.81 (define @t394 () (@list @t391 @t392)) % 2.62/2.81 (define @t395 () (@list @t93 @t225)) % 2.62/2.81 (define @t396 () (= @t71 @t13)) % 2.62/2.81 (define @t397 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t189 @t32) @t119)) % 2.62/2.81 (define @t398 () (tptp.class_Groups_Oab__group__add @t12)) % 2.62/2.81 (define @t399 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t132 @t180)) % 2.62/2.81 (define @t400 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t180)) % 2.62/2.81 (define @t401 () (= @t132 @t400)) % 2.62/2.81 (define @t402 () (@list @t180 @t132 @t12)) % 2.62/2.81 (define @t403 () (= @t180 @t305)) % 2.62/2.81 (define @t404 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t132 @t305)) % 2.62/2.81 (define @t405 () (tptp.class_Groups_Ocancel__semigroup__add @t12)) % 2.62/2.81 (define @t406 () (@list @t305 @t180 @t132 @t12)) % 2.62/2.81 (define @t407 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t305 @t132)) % 2.62/2.81 (define @t408 () (= @t104 @t106)) % 2.62/2.81 (define @t409 () (=> (= @t333 @t331) @t408)) % 2.62/2.81 (define @t410 () (@list @t106 @t32 @t104 @t12)) % 2.62/2.81 (define @t411 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t132)) % 2.62/2.81 (define @t412 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t225)) % 2.62/2.81 (define @t413 () (@list @t41 @t93 @t225)) % 2.62/2.81 (define @t414 () (@var "V_m_2" $$unsorted)) % 2.62/2.81 (define @t415 () (= @t414 @t170)) % 2.62/2.81 (define @t416 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t170)) % 2.62/2.81 (define @t417 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t414)) % 2.62/2.81 (define @t418 () (@list @t170 @t414 @t38)) % 2.62/2.81 (define @t419 () (@list @t170 @t38 @t414)) % 2.62/2.81 (define @t420 () (tptp.hAPP @t229 @t93)) % 2.62/2.81 (define @t421 () (tptp.hAPP @t420 @t225)) % 2.62/2.81 (define @t422 () (tptp.hAPP @t420 @t41)) % 2.62/2.81 (define @t423 () (= @t104 @t119)) % 2.62/2.81 (define @t424 () (= @t187 @t119)) % 2.62/2.81 (define @t425 () (not @t423)) % 2.62/2.81 (define @t426 () (= @t180 @t119)) % 2.62/2.81 (define @t427 () (tptp.hAPP @t375 @t180)) % 2.62/2.81 (define @t428 () (tptp.class_Groups_Omonoid__add @t12)) % 2.62/2.81 (define @t429 () (tptp.class_Groups_Ocomm__monoid__add @t12)) % 2.62/2.81 (define @t430 () (@var "V_e" $$unsorted)) % 2.62/2.81 (define @t431 () (tptp.class_Rings_Oidom @t12)) % 2.62/2.81 (define @t432 () (tptp.class_Rings_Oring @t12)) % 2.62/2.81 (define @t433 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t333)) % 2.62/2.81 (define @t434 () (@list @t93)) % 2.62/2.81 (define @t435 () (@list @t225)) % 2.62/2.81 (define @t436 () (= @t414 @t169)) % 2.62/2.81 (define @t437 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t170)) % 2.62/2.81 (define @t438 () (@list @t170 @t414)) % 2.62/2.81 (define @t439 () (tptp.hAPP @t229 @t414)) % 2.62/2.81 (define @t440 () (tptp.hAPP @t439 @t170)) % 2.62/2.81 (define @t441 () (= @t38 @t169)) % 2.62/2.81 (define @t442 () (or @t415 @t441)) % 2.62/2.81 (define @t443 () (tptp.hAPP @t229 @t38)) % 2.62/2.81 (define @t444 () (tptp.hAPP @t443 @t170)) % 2.62/2.81 (define @t445 () (tptp.hAPP @t443 @t414)) % 2.62/2.81 (define @t446 () (= @t445 @t444)) % 2.62/2.81 (define @t447 () (tptp.hAPP (tptp.hAPP @t229 @t170) @t38)) % 2.62/2.81 (define @t448 () (tptp.hAPP @t439 @t38)) % 2.62/2.81 (define @t449 () (tptp.hAPP @t229 @t41)) % 2.62/2.81 (define @t450 () (and (= @t414 @t68) (= @t170 @t68))) % 2.62/2.81 (define @t451 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t70)) % 2.62/2.81 (define @t452 () (@list @t70 @t12)) % 2.62/2.81 (define @t453 () (and @t23 @t126)) % 2.62/2.81 (define @t454 () (= @t45 @t24)) % 2.62/2.81 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t45)) % 2.62/2.81 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t45 @t24)) % 2.62/2.81 (define @t457 () (@var "V_i" $$unsorted)) % 2.62/2.81 (define @t458 () (@var "V_j" $$unsorted)) % 2.62/2.81 (define @t459 () (@list @t41 @t458 @t457)) % 2.62/2.81 (define @t460 () (@var "V_N" $$unsorted)) % 2.62/2.81 (define @t461 () (tptp.hAPP @t215 @t460)) % 2.62/2.81 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t32)) % 2.62/2.81 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t460)) % 2.62/2.81 (define @t464 () (tptp.class_Rings_Olinordered__semidom @t12)) % 2.62/2.81 (define @t465 () (@list @t32 @t460 @t93 @t12)) % 2.62/2.81 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t180)) % 2.62/2.81 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t180 @t305)) % 2.62/2.81 (define @t468 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t12)) % 2.62/2.81 (define @t469 () (@list @t180 @t305 @t132 @t12)) % 2.62/2.81 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t305 @t180)) % 2.62/2.81 (define @t471 () (@list @t180 @t132 @t305 @t12)) % 2.62/2.81 (define @t472 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t331 @t337)) % 2.62/2.81 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t32 @t104)) % 2.62/2.81 (define @t474 () (tptp.class_Groups_Oordered__ab__semigroup__add @t12)) % 2.62/2.81 (define @t475 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t106 @t104)) % 2.62/2.81 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t341 @t475)) % 2.62/2.81 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t106 @t103)) % 2.62/2.81 (define @t478 () (@list @t104 @t106 @t32 @t12)) % 2.62/2.81 (define @t479 () (@list @t104 @t32 @t106 @t12)) % 2.62/2.81 (define @t480 () (tptp.class_Groups_Oordered__ab__group__add @t12)) % 2.62/2.81 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 @t50)) % 2.62/2.81 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t70)) % 2.62/2.81 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t32)) % 2.62/2.81 (define @t484 () (= @t363 @t119)) % 2.62/2.81 (define @t485 () (tptp.class_Rings_Olinordered__ring @t12)) % 2.62/2.81 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t119)) % 2.62/2.81 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t119)) % 2.62/2.81 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t180)) % 2.62/2.81 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t132)) % 2.62/2.81 (define @t490 () (or (and @t489 @t488) (and @t487 @t486))) % 2.62/2.81 (define @t491 () (or (and @t489 @t486) (and @t487 @t488))) % 2.62/2.81 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t187)) % 2.62/2.81 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t104)) % 2.62/2.81 (define @t494 () (tptp.class_Rings_Oordered__cancel__semiring @t12)) % 2.62/2.81 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t187 @t119)) % 2.62/2.81 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t104 @t119)) % 2.62/2.81 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t32 @t119)) % 2.62/2.81 (define @t498 () (tptp.class_Rings_Oordered__ring @t12)) % 2.62/2.81 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t370 @t369)) % 2.62/2.81 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t106)) % 2.62/2.81 (define @t501 () (tptp.class_Rings_Oordered__semiring @t12)) % 2.62/2.81 (define @t502 () (tptp.hAPP @t109 @t106)) % 2.62/2.81 (define @t503 () (tptp.hAPP @t502 @t104)) % 2.62/2.81 (define @t504 () (tptp.hAPP @t502 @t32)) % 2.62/2.81 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t504 @t503)) % 2.62/2.81 (define @t506 () (=> @t473 (=> @t500 @t505))) % 2.62/2.81 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t106 @t119)) % 2.62/2.81 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t104 @t32)) % 2.62/2.81 (define @t509 () (tptp.hAPP @t312 @t103)) % 2.62/2.81 (define @t510 () (=> @t500 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t370 @t509))) % 2.62/2.81 (define @t511 () (tptp.class_Groups_Oordered__comm__monoid__add @t12)) % 2.62/2.81 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t104 @t331)) % 2.62/2.81 (define @t513 () (@list @t32 @t104 @t106 @t12)) % 2.62/2.81 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t104 @t106)) % 2.62/2.81 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t70)) % 2.62/2.81 (define @t516 () (@list @t70)) % 2.62/2.81 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t144)) % 2.62/2.81 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t49)) % 2.62/2.81 (define @t519 () (= @t347 @t144)) % 2.62/2.81 (define @t520 () (tptp.hAPP @t350 @t49)) % 2.62/2.81 (define @t521 () (@var "V_u" $$unsorted)) % 2.62/2.81 (define @t522 () (@list @t49 @t521)) % 2.62/2.81 (define @t523 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t49)) % 2.62/2.81 (define @t524 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t291 (tptp.hAPP @t213 @t50))) % 2.62/2.81 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t50 @t13)) % 2.62/2.81 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t50)) % 2.62/2.81 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t49)) % 2.62/2.81 (define @t528 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t115)) % 2.62/2.81 (define @t529 () (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t520 (tptp.hAPP (tptp.hAPP @t152 @t50) @t50)))) % 2.62/2.81 (define @t530 () (tptp.c_Int_OBit0 @t78)) % 2.62/2.81 (define @t531 () (@list @t45 @t24)) % 2.62/2.81 (define @t532 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP (tptp.hAPP @t109 @t521) @t49) (tptp.hAPP (tptp.hAPP @t109 @t28) @t50))) % 2.62/2.81 (define @t533 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t521 @t28) @t13)) % 2.62/2.81 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t28)) % 2.62/2.81 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t521)) % 2.62/2.81 (define @t536 () (@list @t28 @t521 @t50 @t32 @t49 @t12)) % 2.62/2.81 (define @t537 () (= @t49 @t50)) % 2.62/2.81 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t50)) % 2.62/2.81 (define @t539 () (tptp.c_NthRoot_Osqrt @t273)) % 2.62/2.81 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t50)) % 2.62/2.81 (define @t541 () (@list @t49 @t50)) % 2.62/2.81 (define @t542 () (tptp.hAPP @t382 @t16)) % 2.62/2.81 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t71)) % 2.62/2.81 (define @t544 () (tptp.hAPP @t152 @t106)) % 2.62/2.81 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t106 @t144)) % 2.62/2.81 (define @t546 () (tptp.class_Orderings_Opreorder @t12)) % 2.62/2.81 (define @t547 () (@var "V_f1_2" $$unsorted)) % 2.62/2.81 (define @t548 () (tptp.hAPP (tptp.hAPP @t547 @t266) @t264)) % 2.62/2.81 (define @t549 () (@list @t264 @t266 @t547 @t12)) % 2.62/2.81 (define @t550 () (tptp.c_Nat_OSuc @t260)) % 2.62/2.81 (define @t551 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t15)) % 2.62/2.81 (define @t552 () (tptp.hAPP (tptp.hAPP @t157 @t551) @t90)) % 2.62/2.81 (define @t553 () (@list @t90)) % 2.62/2.81 (define @t554 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t71)) % 2.62/2.81 (define @t555 () (not @t554)) % 2.62/2.81 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t170)) % 2.62/2.81 (define @t557 () (tptp.hAPP @t229 (tptp.c_Nat_OSuc @t38))) % 2.62/2.81 (define @t558 () (tptp.hAPP @t557 @t170)) % 2.62/2.81 (define @t559 () (tptp.hAPP @t557 @t414)) % 2.62/2.81 (define @t560 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t93)) % 2.62/2.81 (define @t561 () (tptp.c_Nat_OSuc @t225)) % 2.62/2.81 (define @t562 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t561 @t93)) % 2.62/2.81 (define @t563 () (tptp.c_Nat_OSuc @t93)) % 2.62/2.81 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t563)) % 2.62/2.81 (define @t565 () (= @t225 @t93)) % 2.62/2.81 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t225)) % 2.62/2.81 (define @t567 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457 @t458)) % 2.62/2.81 (define @t568 () (tptp.c_Nat_OSuc @t414)) % 2.62/2.81 (define @t569 () (tptp.c_Nat_OSuc @t170)) % 2.62/2.81 (define @t570 () (@list @t414 @t170)) % 2.62/2.81 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t569 @t414)) % 2.62/2.81 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t45)) % 2.62/2.81 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t45 @t24)) % 2.62/2.81 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t457 @t458)) % 2.62/2.81 (define @t575 () (@var "B_n" $$unsorted)) % 2.62/2.81 (define @t576 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 2.62/2.81 (define @t577 () (tptp.hAPP @t576 @t457)) % 2.62/2.81 (define @t578 () (tptp.hAPP @t577 @t93)) % 2.62/2.81 (define @t579 () (tptp.c_Nat_OSuc @t169)) % 2.62/2.81 (define @t580 () (@var "V_nat_H_2" $$unsorted)) % 2.62/2.81 (define @t581 () (@var "V_nat_2" $$unsorted)) % 2.62/2.81 (define @t582 () (@var "V_v_2" $$unsorted)) % 2.62/2.81 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t582 tptp.c_Int_OPls)) % 2.62/2.81 (define @t584 () (@var "V_v_H_2" $$unsorted)) % 2.62/2.81 (define @t585 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t584)) % 2.62/2.81 (define @t586 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t582)) % 2.62/2.81 (define @t587 () (@list @t584 @t582)) % 2.62/2.81 (define @t588 () (@var "V_nat_H_1" $$unsorted)) % 2.62/2.81 (define @t589 () (@var "V_nat_H" $$unsorted)) % 2.62/2.81 (define @t590 () (tptp.hAPP @t576 @t71)) % 2.62/2.81 (define @t591 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t563)) % 2.62/2.81 (define @t592 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t561 @t93)) % 2.62/2.81 (define @t593 () (tptp.c_Nat_OSuc @t227)) % 2.62/2.81 (define @t594 () (@list @t170)) % 2.62/2.81 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 @t35)) % 2.62/2.81 (define @t596 () (@var "V_k2_2" $$unsorted)) % 2.62/2.81 (define @t597 () (@var "V_k1_2" $$unsorted)) % 2.62/2.81 (define @t598 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t597 @t596)) % 2.62/2.81 (define @t599 () (tptp.c_Int_OBit1 @t596)) % 2.62/2.81 (define @t600 () (tptp.c_Int_OBit1 @t597)) % 2.62/2.81 (define @t601 () (@list @t596 @t597)) % 2.62/2.81 (define @t602 () (tptp.c_Int_OBit0 @t596)) % 2.62/2.81 (define @t603 () (tptp.c_Int_OBit0 @t597)) % 2.62/2.81 (define @t604 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t41 @t93)) % 2.62/2.81 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t41) @t93)) % 2.62/2.81 (define @t606 () (@list @t93 @t41 @t225)) % 2.62/2.81 (define @t607 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t458 @t61)) % 2.62/2.81 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t457 @t41)) % 2.62/2.81 (define @t609 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t41 @t61)) % 2.62/2.81 (define @t610 () (@list @t61 @t41 @t458 @t457)) % 2.62/2.81 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t458 @t41)) % 2.62/2.81 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t458)) % 2.62/2.81 (define @t613 () (@list @t225 @t458 @t457)) % 2.62/2.81 (define @t614 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t458 @t225)) % 2.62/2.81 (define @t615 () (@var "B_k" $$unsorted)) % 2.62/2.81 (define @t616 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t615)) % 2.62/2.81 (define @t617 () (@list @t615)) % 2.62/2.81 (define @t618 () (@list @t225 @t93)) % 2.62/2.81 (define @t619 () (tptp.hAPP @t229 @t458)) % 2.62/2.81 (define @t620 () (tptp.hAPP @t229 @t457)) % 2.62/2.81 (define @t621 () (tptp.hAPP @t620 @t41)) % 2.62/2.81 (define @t622 () (tptp.hAPP @t449 @t458)) % 2.62/2.81 (define @t623 () (tptp.hAPP @t449 @t457)) % 2.62/2.81 (define @t624 () (tptp.hAPP @t619 @t41)) % 2.62/2.81 (define @t625 () (tptp.hAPP @t230 @t225)) % 2.62/2.81 (define @t626 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t35)) % 2.62/2.81 (define @t627 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t38)) % 2.62/2.81 (define @t628 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t49 @t50)) % 2.62/2.81 (define @t629 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t628)) % 2.62/2.81 (define @t630 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t50)) % 2.62/2.81 (define @t631 () (not @t630)) % 2.62/2.81 (define @t632 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t49)) % 2.62/2.81 (define @t633 () (not @t632)) % 2.62/2.81 (define @t634 () (not @t629)) % 2.62/2.81 (define @t635 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t70)) % 2.62/2.81 (define @t636 () (tptp.hAPP (tptp.hAPP @t157 @t49) @t50)) % 2.62/2.81 (define @t637 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t636)) % 2.62/2.81 (define @t638 () (tptp.hAPP @t160 @t93)) % 2.62/2.81 (define @t639 () (@list @t93 @t49)) % 2.62/2.81 (define @t640 () (tptp.hAPP @t215 @t563)) % 2.62/2.81 (define @t641 () (tptp.hAPP @t154 @t298)) % 2.62/2.81 (define @t642 () (tptp.hAPP @t97 (tptp.c_Nat_OSuc @t296))) % 2.62/2.81 (define @t643 () (@list @t296 @t49 @t12)) % 2.62/2.81 (define @t644 () (= @t170 @t579)) % 2.62/2.81 (define @t645 () (= @t414 @t579)) % 2.62/2.81 (define @t646 () (or (and @t645 @t171) (and @t436 @t644))) % 2.62/2.81 (define @t647 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t38)) % 2.62/2.81 (define @t648 () (@list @t170 @t71)) % 2.62/2.81 (define @t649 () (tptp.hAPP @t221 @t563)) % 2.62/2.81 (define @t650 () (@list @t104 @t93 @t32 @t12)) % 2.62/2.81 (define @t651 () (tptp.c_Nat_OSuc @t579)) % 2.62/2.81 (define @t652 () (@list @t582)) % 2.62/2.81 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t50 @t49)) % 2.62/2.81 (define @t654 () (tptp.class_Orderings_Olinorder @t12)) % 2.62/2.81 (define @t655 () (tptp.tc_fun @t12 @t127)) % 2.62/2.81 (define @t656 () (tptp.c_Orderings_Oord__class_Oless__eq @t655 @t2 @t1)) % 2.62/2.81 (define @t657 () (tptp.class_Orderings_Oord @t127)) % 2.62/2.81 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t45 @t50)) % 2.62/2.81 (define @t659 () (tptp.class_Orderings_Oorder @t12)) % 2.62/2.81 (define @t660 () (@list @t45 @t49 @t50 @t12)) % 2.62/2.81 (define @t661 () (@list @t49 @t50 @t12)) % 2.62/2.81 (define @t662 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t50 @t45)) % 2.62/2.81 (define @t663 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t106 @t32)) % 2.62/2.81 (define @t664 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t32 @t106)) % 2.62/2.81 (define @t665 () (tptp.class_Orderings_Oord @t12)) % 2.62/2.81 (define @t666 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t71 @t70)) % 2.62/2.81 (define @t667 () (= @t666 @t72)) % 2.62/2.81 (define @t668 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t70 @t71)) % 2.62/2.81 (define @t669 () (@list @t71 @t70 @t12)) % 2.62/2.81 (define @t670 () (@list @t1 @t2 @t12 @t127)) % 2.62/2.81 (define @t671 () (tptp.c_Nat_OSuc @t563)) % 2.62/2.81 (define @t672 () (tptp.hAPP @t215 @t550)) % 2.62/2.81 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t49)) % 2.62/2.81 (define @t674 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t50)) % 2.62/2.81 (define @t675 () (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t119)) % 2.62/2.81 (define @t676 () (tptp.c_Int_Onumber__class_Onumber__of @t12 tptp.c_Int_OMin)) % 2.62/2.81 (define @t677 () (tptp.hAPP @t17 @t676)) % 2.62/2.81 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t561 @t563)) % 2.62/2.81 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t93)) % 2.62/2.81 (define @t680 () (not @t565)) % 2.62/2.81 (define @t681 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t414 @t170)) % 2.62/2.81 (define @t682 () (or @t681 @t415)) % 2.62/2.81 (define @t683 () (not @t415)) % 2.62/2.81 (define @t684 () (tptp.c_Orderings_Oord__class_Oless @t12 @t71 @t70)) % 2.62/2.81 (define @t685 () (not @t684)) % 2.62/2.81 (define @t686 () (tptp.c_Orderings_Oord__class_Oless @t12 @t70 @t71)) % 2.62/2.81 (define @t687 () (tptp.c_Orderings_Oord__class_Oless @t12 @t50 @t49)) % 2.62/2.81 (define @t688 () (not @t72)) % 2.62/2.81 (define @t689 () (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t50)) % 2.62/2.81 (define @t690 () (not @t689)) % 2.62/2.81 (define @t691 () (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t104)) % 2.62/2.81 (define @t692 () (not @t386)) % 2.62/2.81 (define @t693 () (tptp.c_Orderings_Oord__class_Oless @t12 @t104 @t32)) % 2.62/2.81 (define @t694 () (= @t685 @t72)) % 2.62/2.81 (define @t695 () (@list @t32 @t104 @t12)) % 2.62/2.81 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t45)) % 2.62/2.81 (define @t697 () (tptp.c_Orderings_Oord__class_Oless @t12 @t45 @t49)) % 2.62/2.81 (define @t698 () (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t50 @t45) @t696)) % 2.62/2.81 (define @t699 () (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t45 @t50) @t697)) % 2.62/2.81 (define @t700 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 tptp.c_Int_OMin)) % 2.62/2.81 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t38)) % 2.62/2.81 (define @t702 () (tptp.hAPP @t17 @t180)) % 2.62/2.81 (define @t703 () (tptp.hAPP @t702 @t70)) % 2.62/2.81 (define @t704 () (tptp.hAPP @t702 @t71)) % 2.62/2.81 (define @t705 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t180)) % 2.62/2.81 (define @t706 () (@list @t70 @t71 @t180 @t12)) % 2.62/2.81 (define @t707 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t32)) % 2.62/2.81 (define @t708 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t460)) % 2.62/2.81 (define @t709 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t70)) % 2.62/2.81 (define @t710 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t50)) % 2.62/2.81 (define @t711 () (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t13)) % 2.62/2.81 (define @t712 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t32)) % 2.62/2.81 (define @t713 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t93)) % 2.62/2.81 (define @t714 () (not @t537)) % 2.62/2.81 (define @t715 () (=> @t714 (=> @t690 @t687))) % 2.62/2.81 (define @t716 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t35)) % 2.62/2.81 (define @t717 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t457 @t458)) % 2.62/2.81 (define @t718 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t457 @t458)) % 2.62/2.81 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 @t458)) % 2.62/2.81 (define @t720 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t61)) % 2.62/2.81 (define @t721 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t597 @t596)) % 2.62/2.81 (define @t722 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t170)) % 2.62/2.81 (define @t723 () (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t180)) % 2.62/2.81 (define @t724 () (tptp.c_Orderings_Oord__class_Oless @t12 @t331 @t337)) % 2.62/2.81 (define @t725 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t12)) % 2.62/2.81 (define @t726 () (tptp.c_Orderings_Oord__class_Oless @t12 @t341 @t475)) % 2.62/2.81 (define @t727 () (tptp.c_Orderings_Oord__class_Oless @t12 @t331 @t330)) % 2.62/2.81 (define @t728 () (tptp.c_Orderings_Oord__class_Oless @t12 @t106 @t103)) % 2.62/2.81 (define @t729 () (=> @t728 @t727)) % 2.62/2.81 (define @t730 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t582 @t584)) % 2.62/2.81 (define @t731 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t561 @t93)) % 2.62/2.81 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t563)) % 2.62/2.81 (define @t733 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t225)) % 2.62/2.81 (define @t734 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t568)) % 2.62/2.81 (define @t735 () (= @t734 (= @t170 @t414))) % 2.62/2.81 (define @t736 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t414)) % 2.62/2.81 (define @t737 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t414 @t569)) % 2.62/2.81 (define @t738 () (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t106)) % 2.62/2.81 (define @t739 () (tptp.c_Orderings_Oord__class_Oless @t12 @t104 @t106)) % 2.62/2.81 (define @t740 () (tptp.c_Orderings_Oord__class_Oless @t12 @t106 @t32)) % 2.62/2.81 (define @t741 () (tptp.c_Orderings_Oord__class_Oless @t12 @t216 @t222)) % 2.62/2.81 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t12 @t504 @t503)) % 2.62/2.81 (define @t743 () (tptp.c_Orderings_Oord__class_Oless @t12 @t106 @t119)) % 2.62/2.81 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t12 @t370 @t369)) % 2.62/2.81 (define @t745 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t106)) % 2.62/2.81 (define @t746 () (=> @t691 (=> @t745 @t742))) % 2.62/2.81 (define @t747 () (tptp.class_Rings_Olinordered__semiring__strict @t12)) % 2.62/2.81 (define @t748 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t187)) % 2.62/2.81 (define @t749 () (tptp.c_Orderings_Oord__class_Oless @t12 @t104 @t119)) % 2.62/2.81 (define @t750 () (tptp.c_Orderings_Oord__class_Oless @t12 @t187 @t119)) % 2.62/2.81 (define @t751 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t104)) % 2.62/2.81 (define @t752 () (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t132)) % 2.62/2.81 (define @t753 () (tptp.hAPP @t109 @t305)) % 2.62/2.81 (define @t754 () (tptp.hAPP @t753 @t180)) % 2.62/2.81 (define @t755 () (tptp.hAPP @t753 @t132)) % 2.62/2.81 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t12 @t755 @t754)) % 2.62/2.81 (define @t757 () (tptp.c_Orderings_Oord__class_Oless @t12 @t305 @t119)) % 2.62/2.81 (define @t758 () (=> @t712 @t751)) % 2.62/2.81 (define @t759 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t305)) % 2.62/2.81 (define @t760 () (or (and @t759 @t723) (and @t757 @t752))) % 2.62/2.81 (define @t761 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t132)) % 2.62/2.81 (define @t762 () (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t119)) % 2.62/2.81 (define @t763 () (= (tptp.c_Orderings_Oord__class_Oless @t12 @t250 @t119) @t762)) % 2.62/2.81 (define @t764 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t333)) % 2.62/2.81 (define @t765 () (=> @t751 @t764)) % 2.62/2.81 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t12 @t104 @t331)) % 2.62/2.81 (define @t767 () (=> @t739 @t766)) % 2.62/2.81 (define @t768 () (tptp.c_Orderings_Oord__class_Oless @t12 @t333 @t119)) % 2.62/2.81 (define @t769 () (=> @t749 @t768)) % 2.62/2.81 (define @t770 () (tptp.c_Int_Onumber__class_Onumber__of @t12 @t582)) % 2.62/2.81 (define @t771 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OMin)) % 2.62/2.81 (define @t772 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t143)) % 2.62/2.81 (define @t773 () (@list @t78)) % 2.62/2.81 (define @t774 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 tptp.c_Int_OPls)) % 2.62/2.81 (define @t775 () (@var "B_m" $$unsorted)) % 2.62/2.81 (define @t776 () (@var "B_j" $$unsorted)) % 2.62/2.81 (define @t777 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t414)) % 2.62/2.81 (define @t778 () (@list @t225 @t457)) % 2.62/2.81 (define @t779 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t38)) % 2.62/2.81 (define @t780 () (and @t779 @t681)) % 2.62/2.81 (define @t781 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t445 @t444)) % 2.62/2.81 (define @t782 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t41)) % 2.62/2.81 (define @t783 () (tptp.hAPP @t342 @t363)) % 2.62/2.81 (define @t784 () (tptp.hAPP @t343 @t363)) % 2.62/2.81 (define @t785 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t363)) % 2.62/2.81 (define @t786 () (@list @t70 @t71 @t363)) % 2.62/2.81 (define @t787 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t49)) % 2.62/2.81 (define @t788 () (@var "V_z_H" $$unsorted)) % 2.62/2.81 (define @t789 () (@var "V_w_H" $$unsorted)) % 2.62/2.81 (define @t790 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 @t363)) % 2.62/2.81 (define @t791 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t78 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t363 @t42))) % 2.62/2.81 (define @t792 () (@list @t363 @t78)) % 2.62/2.81 (define @t793 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t71)) % 2.62/2.81 (define @t794 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 (tptp.hAPP @t590 @t170))) % 2.62/2.81 (define @t795 () (=> @t745 @t473)) % 2.62/2.81 (define @t796 () (=> @t500 @t691)) % 2.62/2.81 (define @t797 () (=> @t742 @t796)) % 2.62/2.81 (define @t798 () (tptp.class_Rings_Olinordered__semiring @t12)) % 2.62/2.81 (define @t799 () (=> @t744 @t796)) % 2.62/2.81 (define @t800 () (tptp.c_Orderings_Oord__class_Oless @t12 @t370 @t509)) % 2.62/2.81 (define @t801 () (=> @t500 @t800)) % 2.62/2.81 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t755 @t754)) % 2.62/2.81 (define @t803 () (not @t120)) % 2.62/2.81 (define @t804 () (not @t121)) % 2.62/2.81 (define @t805 () (or @t804 @t803)) % 2.62/2.81 (define @t806 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t45)) % 2.62/2.81 (define @t807 () (@var "V_one_2" $$unsorted)) % 2.62/2.81 (define @t808 () (@var "V_times_2" $$unsorted)) % 2.62/2.81 (define @t809 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t12 @t807 @t808) @t132)) % 2.62/2.81 (define @t810 () (and (= @t414 @t42) (= @t170 @t42))) % 2.62/2.81 (define @t811 () (= (tptp.hAPP (tptp.hAPP @t157 @t414) @t170) @t42)) % 2.62/2.81 (define @t812 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t225)) % 2.62/2.81 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t93)) % 2.62/2.81 (define @t814 () (tptp.hAPP @t152 @t363)) % 2.62/2.81 (define @t815 () (@var "V_s" $$unsorted)) % 2.62/2.81 (define @t816 () (tptp.hAPP @t152 @t384)) % 2.62/2.81 (define @t817 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t151 @t815)) % 2.62/2.81 (define @t818 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t94 @t384)) % 2.62/2.81 (define @t819 () (@list @t815 @t50 @t384 @t49 @t12)) % 2.62/2.81 (define @t820 () (@list @t363)) % 2.62/2.81 (define @t821 () (=> @t779 @t556)) % 2.62/2.81 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t445 @t444)) % 2.62/2.81 (define @t823 () (@var "V_v_H" $$unsorted)) % 2.62/2.81 (define @t824 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t823)) % 2.62/2.81 (define @t825 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t28)) % 2.62/2.81 (define @t826 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t825 @t824)) % 2.62/2.81 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t823 tptp.c_Int_OPls)) % 2.62/2.81 (define @t828 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t28 tptp.c_Int_OPls)) % 2.62/2.81 (define @t829 () (not @t828)) % 2.62/2.81 (define @t830 () (@list @t823 @t28)) % 2.62/2.81 (define @t831 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.hAPP @t165 @t823))) % 2.62/2.81 (define @t832 () (tptp.hAPP @t229 @t825)) % 2.62/2.81 (define @t833 () (tptp.hAPP @t832 (tptp.hAPP (tptp.hAPP @t229 @t824) @t41))) % 2.62/2.81 (define @t834 () (tptp.hAPP @t832 @t824)) % 2.62/2.81 (define @t835 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t384)) % 2.62/2.81 (define @t836 () (= @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t384 (tptp.hAPP (tptp.hAPP @t157 @t32) @t296)))) % 2.62/2.81 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t32)) % 2.62/2.81 (define @t838 () (@list @t296 @t384 @t32)) % 2.62/2.81 (define @t839 () (@var "V_q_H" $$unsorted)) % 2.62/2.81 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t296)) % 2.62/2.81 (define @t841 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210 @t104)) % 2.62/2.81 (define @t842 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t210)) % 2.62/2.81 (define @t843 () (@var "V_r_H" $$unsorted)) % 2.62/2.81 (define @t844 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t843)) % 2.62/2.81 (define @t845 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t384 @t104)) % 2.62/2.81 (define @t846 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t157 @t210) @t839) @t843)) % 2.62/2.81 (define @t847 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t846 @t143)) % 2.62/2.81 (define @t848 () (tptp.hAPP @t157 @t104)) % 2.62/2.81 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t296) @t384)) % 2.62/2.81 (define @t850 () (= @t849 @t846)) % 2.62/2.81 (define @t851 () (@list @t843 @t839 @t210 @t384 @t296 @t104)) % 2.62/2.81 (define @t852 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t296 @t839)) % 2.62/2.81 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t839) @t843) @t849)) % 2.62/2.81 (define @t854 () (@list @t384 @t296 @t843 @t839 @t104)) % 2.62/2.81 (define @t855 () (@var "V_t" $$unsorted)) % 2.62/2.81 (define @t856 () (@var "V_P_2" $$unsorted)) % 2.62/2.81 (define @t857 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t856 @t170) @t414))) % 2.62/2.81 (define @t858 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t843 @t210)) % 2.62/2.81 (define @t859 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t846)) % 2.62/2.81 (define @t860 () (@list @t843 @t839 @t210)) % 2.62/2.81 (define @t861 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t141 @t521)) % 2.62/2.81 (define @t862 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t521 @t273)) % 2.62/2.81 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t521)) % 2.62/2.81 (define @t864 () (= @t376 @t180)) % 2.62/2.81 (define @t865 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t180 @t305)) % 2.62/2.81 (define @t866 () (= @t132 @t865)) % 2.62/2.81 (define @t867 () (= @t305 @t119)) % 2.62/2.81 (define @t868 () (not @t867)) % 2.62/2.81 (define @t869 () (tptp.class_Rings_Odivision__ring @t12)) % 2.62/2.81 (define @t870 () (= @t180 @t376)) % 2.62/2.81 (define @t871 () (= @t865 @t132)) % 2.62/2.81 (define @t872 () (@list @t132 @t180 @t305 @t12)) % 2.62/2.81 (define @t873 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t104 @t106)) % 2.62/2.81 (define @t874 () (not (= @t106 @t119))) % 2.62/2.81 (define @t875 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t132 @t180)) % 2.62/2.81 (define @t876 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t32)) % 2.62/2.81 (define @t877 () (=> @t233 (= @t876 @t13))) % 2.62/2.81 (define @t878 () (tptp.class_Rings_Odivision__ring__inverse__zero @t12)) % 2.62/2.81 (define @t879 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t104)) % 2.62/2.81 (define @t880 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t879)) % 2.62/2.81 (define @t881 () (= @t880 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t196))) % 2.62/2.81 (define @t882 () (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t189 @t196) @t879)) % 2.62/2.81 (define @t883 () (= (tptp.hAPP (tptp.hAPP @t17 @t879) @t93) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t216 @t222))) % 2.62/2.81 (define @t884 () (tptp.class_Fields_Ofield @t12)) % 2.62/2.81 (define @t885 () (tptp.class_Fields_Ofield__inverse__zero @t12)) % 2.62/2.81 (define @t886 () (= @t79 @t119)) % 2.62/2.81 (define @t887 () (=> @t886 @t173)) % 2.62/2.81 (define @t888 () (tptp.hAPP @t375 @t79)) % 2.62/2.81 (define @t889 () (not @t886)) % 2.62/2.81 (define @t890 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t180 @t79)) % 2.62/2.81 (define @t891 () (and @t885 @t80)) % 2.62/2.81 (define @t892 () (@list @t132 @t78 @t180 @t12)) % 2.62/2.81 (define @t893 () (=> @t867 @t886)) % 2.62/2.81 (define @t894 () (tptp.hAPP (tptp.hAPP @t109 @t79) @t305)) % 2.62/2.81 (define @t895 () (@list @t78 @t305 @t180 @t12)) % 2.62/2.81 (define @t896 () (@list @t305 @t180 @t78 @t12)) % 2.62/2.81 (define @t897 () (@list @t78 @t180 @t132 @t12)) % 2.62/2.81 (define @t898 () (= (tptp.c_RealVector_Onorm__class_Onorm @t12 @t879) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t12 @t32) (tptp.c_RealVector_Onorm__class_Onorm @t12 @t104)))) % 2.62/2.81 (define @t899 () (tptp.class_RealVector_Oreal__normed__field @t12)) % 2.62/2.81 (define @t900 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t50)) % 2.62/2.81 (define @t901 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t106)) % 2.62/2.81 (define @t902 () (and @t885 @t23)) % 2.62/2.81 (define @t903 () (and @t884 @t23)) % 2.62/2.81 (define @t904 () (tptp.c_Orderings_Oord__class_Oless @t12 @t79 @t119)) % 2.62/2.81 (define @t905 () (not @t904)) % 2.62/2.81 (define @t906 () (tptp.c_Orderings_Oord__class_Oless @t12 @t888 @t180)) % 2.62/2.81 (define @t907 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t79)) % 2.62/2.81 (define @t908 () (not @t907)) % 2.62/2.81 (define @t909 () (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t888)) % 2.62/2.81 (define @t910 () (tptp.class_Fields_Olinordered__field__inverse__zero @t12)) % 2.62/2.81 (define @t911 () (and @t910 @t80)) % 2.62/2.81 (define @t912 () (not @t757)) % 2.62/2.81 (define @t913 () (tptp.c_Orderings_Oord__class_Oless @t12 @t894 @t180)) % 2.62/2.81 (define @t914 () (not @t759)) % 2.62/2.81 (define @t915 () (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t894)) % 2.62/2.81 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t888)) % 2.62/2.81 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t888 @t180)) % 2.62/2.81 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t894)) % 2.62/2.81 (define @t919 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t894 @t180)) % 2.62/2.81 (define @t920 () (@var "V_r_2" $$unsorted)) % 2.62/2.81 (define @t921 () (and @t910 @t23)) % 2.62/2.81 (define @t922 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t276 @t273)) % 2.62/2.81 (define @t923 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t521 @t539)) % 2.62/2.81 (define @t924 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t49 @t273)) % 2.62/2.81 (define @t925 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t106 @t104)) % 2.62/2.81 (define @t926 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t106 @t32)) % 2.62/2.81 (define @t927 () (=> @t748 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t926 @t925))) % 2.62/2.81 (define @t928 () (tptp.class_Fields_Olinordered__field @t12)) % 2.62/2.81 (define @t929 () (tptp.c_Orderings_Oord__class_Oless @t12 @t901 @t873)) % 2.62/2.81 (define @t930 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t900)) % 2.62/2.81 (define @t931 () (tptp.c_Orderings_Oord__class_Oless @t12 @t50 @t119)) % 2.62/2.81 (define @t932 () (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t119)) % 2.62/2.81 (define @t933 () (tptp.c_Orderings_Oord__class_Oless @t12 @t900 @t119)) % 2.62/2.81 (define @t934 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t50)) % 2.62/2.81 (define @t935 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t49)) % 2.62/2.81 (define @t936 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t180)) % 2.62/2.81 (define @t937 () (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t119)) % 2.62/2.81 (define @t938 () (=> @t867 @t173)) % 2.62/2.81 (define @t939 () (@list @t132 @t305 @t180 @t12)) % 2.62/2.81 (define @t940 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t900)) % 2.62/2.81 (define @t941 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t119)) % 2.62/2.81 (define @t942 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t900 @t119)) % 2.62/2.81 (define @t943 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t50 @t24)) % 2.62/2.81 (define @t944 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t45)) % 2.62/2.81 (define @t945 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t24 @t45)) % 2.62/2.81 (define @t946 () (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t24)) % 2.62/2.81 (define @t947 () (@list @t45 @t24 @t50 @t49 @t12)) % 2.62/2.81 (define @t948 () (tptp.c_Orderings_Oord__class_Oless @t12 @t944 @t943)) % 2.62/2.81 (define @t949 () (=> @t748 (tptp.c_Orderings_Oord__class_Oless @t12 @t926 @t925))) % 2.62/2.81 (define @t950 () (tptp.c_Orderings_Oord__class_Oless @t12 @t376 @t180)) % 2.62/2.81 (define @t951 () (tptp.c_Orderings_Oord__class_Oless @t12 @t865 @t132)) % 2.62/2.81 (define @t952 () (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t376)) % 2.62/2.81 (define @t953 () (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t865)) % 2.62/2.81 (define @t954 () (tptp.hAPP @t279 @t50)) % 2.62/2.81 (define @t955 () (@list @t49 @t45 @t50 @t12)) % 2.62/2.81 (define @t956 () (not (= @t45 @t119))) % 2.62/2.81 (define @t957 () (not (= @t50 @t119))) % 2.62/2.81 (define @t958 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t49 @t954)) % 2.62/2.81 (define @t959 () (@list @t50 @t49 @t45 @t12)) % 2.62/2.81 (define @t960 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t958 @t50)) % 2.62/2.81 (define @t961 () (tptp.c_Rings_Oinverse__class_Odivide @t12 @t333 @t22)) % 2.62/2.81 (define @t962 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t376)) % 2.62/2.81 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t376 @t180)) % 2.62/2.81 (define @t964 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t865)) % 2.62/2.81 (define @t965 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t865 @t132)) % 2.62/2.81 (define @t966 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex tptp.c_Int_OMin)) % 2.62/2.81 (define @t967 () (tptp.c_Transcendental_Oarctan @t49)) % 2.62/2.81 (define @t968 () (tptp.c_Transcendental_Oarctan @t50)) % 2.62/2.81 (define @t969 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (define @t970 () (tptp.hAPP @t969 tptp.c_Complex_Oii)) % 2.62/2.81 (define @t971 () (tptp.c_Complex_Ocomplex_OComplex @t149 @t32)) % 2.62/2.81 (define @t972 () (tptp.hAPP @t970 tptp.c_Complex_Oii)) % 2.62/2.81 (define @t973 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t50)) % 2.62/2.81 (define @t974 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t49)) % 2.62/2.81 (define @t975 () (@var "T_1" $$unsorted)) % 2.62/2.81 (define @t976 () (@var "T_2" $$unsorted)) % 2.62/2.81 (define @t977 () (tptp.tc_fun @t976 @t975)) % 2.62/2.81 (define @t978 () (@list @t976 @t975)) % 2.62/2.81 (define @t979 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 tptp.v_x____) @t16) (tptp.hAPP (tptp.hAPP @t95 tptp.v_y____) @t16))) % 2.62/2.81 (define @t980 () (= @t979 @t7)) % 2.62/2.81 (define @t981 () (@list tptp.v_y____ tptp.v_x____)) % 2.62/2.81 (define @t982 () (= @t70 @t71)) % 2.62/2.81 (define @t983 () (tptp.c_NthRoot_Osqrt @t979)) % 2.62/2.81 (define @t984 () (= @t383 @t983)) % 2.62/2.81 (define @t985 () (forall @t288 (= @t355 @t982))) % 2.62/2.81 (define @t986 () (= @t984 @t980)) % 2.62/2.81 (define @t987 () (= @t7 @t979)) % 2.62/2.81 (define @t988 () (= @t987 @t984)) % 2.62/2.81 (define @t989 () (not @t984)) % 2.62/2.81 (define @t990 () (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10) @t983)) % 2.62/2.81 (define @t991 () (not @t990)) % 2.62/2.81 (define @t992 () (= @t7 @t383)) % 2.62/2.81 (define @t993 () (not @t992)) % 2.62/2.81 (define @t994 () (not @t11)) % 2.62/2.81 (define @t995 () (not @t9)) % 2.62/2.81 (define @t996 () (= @t7 @t983)) % 2.62/2.81 (define @t997 () (and @t989 @t992 @t9 @t996)) % 2.62/2.81 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 2.62/2.81 (assume @p2 @t9) % 2.62/2.81 (assume @p3 @t11) % 2.62/2.81 (assume @p4 (forall @t20 (=> @t19 (= (tptp.hAPP @t18 @t16) @t13)))) % 2.62/2.81 (assume @p5 (forall @t20 (=> @t23 (= @t22 @t21)))) % 2.62/2.81 (assume @p6 (forall @t27 (=> @t23 (= @t26 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 @t24)))))) % 2.62/2.81 (assume @p7 (forall (@list @t28 @t12) (=> @t23 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t29 @t13) (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t14)))))) % 2.62/2.81 (assume @p8 (forall @t20 (=> @t23 (= @t13 @t30)))) % 2.62/2.81 (assume @p9 (forall @t20 (=> @t23 (= @t30 @t13)))) % 2.62/2.81 (assume @p10 (forall @t27 (=> @t23 (= @t31 (tptp.c_Groups_Oplus__class_Oplus @t12 @t26 @t25))))) % 2.62/2.81 (assume @p11 (forall @t34 (=> @t23 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t33) @t32)))) % 2.62/2.81 (assume @p12 (forall @t34 (=> @t23 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t33 @t32) @t32)))) % 2.62/2.81 (assume @p13 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 2.62/2.81 (assume @p14 (forall @t37 (= (= tptp.c_Int_OPls @t36) (= tptp.c_Int_OPls @t35)))) % 2.62/2.81 (assume @p15 (forall @t40 (= (= @t39 tptp.c_Int_OPls) (= @t38 tptp.c_Int_OPls)))) % 2.62/2.81 (assume @p16 (forall @t44 (= @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t42 @t41) @t41)))) % 2.62/2.81 (assume @p17 (forall @t48 (= @t47 @t46))) % 2.62/2.81 (assume @p18 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t49 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t50 @t45)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t49 @t45))))) % 2.62/2.81 (assume @p19 (forall @t55 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 @t53) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t52)))) % 2.62/2.81 (assume @p20 (forall @t60 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t59 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t58 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t57 @t56))))) % 2.62/2.81 (assume @p21 (forall @t44 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 tptp.c_Int_OPls) @t41))) % 2.62/2.81 (assume @p22 (forall @t44 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t41) @t41))) % 2.62/2.81 (assume @p23 (forall @t65 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t64 @t63) (tptp.c_Int_OBit0 @t62)))) % 2.62/2.81 (assume @p24 (forall @t44 (= @t64 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t41)))) % 2.62/2.81 (assume @p25 (= @t42 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t14))) % 2.62/2.81 (assume @p26 (forall @t65 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t63) @t66))) % 2.62/2.81 (assume @p27 (forall @t65 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t64 @t67) @t66))) % 2.62/2.81 (assume @p28 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t68 @t68) @t16)) % 2.62/2.81 (assume @p29 (= @t69 @t68)) % 2.62/2.81 (assume @p30 (= @t68 @t69)) % 2.62/2.81 (assume @p31 (forall @t77 (=> @t76 (= @t75 @t72)))) % 2.62/2.81 (assume @p32 (forall (@list @t71 @t78 @t12) (=> @t80 (= (= @t79 @t71) (= @t71 @t79))))) % 2.62/2.81 (assume @p33 (forall @t84 (= (= @t83 @t82) @t81))) % 2.62/2.81 (assume @p34 (forall @t84 (= (= @t39 @t36) @t81))) % 2.62/2.81 (assume @p35 (forall @t86 (=> @t23 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t29 (tptp.c_Groups_Oplus__class_Oplus @t12 @t25 @t45)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t85 @t45))))) % 2.62/2.81 (assume @p36 (forall @t88 (=> @t23 (= @t87 @t85)))) % 2.62/2.81 (assume @p37 (forall @t88 (=> @t23 (= @t85 @t87)))) % 2.62/2.81 (assume @p38 (forall @t44 (not (= @t43 tptp.c_Int_OPls)))) % 2.62/2.81 (assume @p39 (forall @t89 (not (= tptp.c_Int_OPls @t67)))) % 2.62/2.81 (assume @p40 (forall @t65 (not (= @t43 @t63)))) % 2.62/2.81 (assume @p41 (forall @t65 (not (= @t64 @t67)))) % 2.62/2.81 (assume @p42 (not (forall (@list @t3 @t90) (not (= tptp.v_z (tptp.c_Complex_Ocomplex_OComplex @t3 @t90)))))) % 2.62/2.81 (assume @p43 (forall @t92 (= (tptp.hAPP (tptp.hAPP @t91 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt @t45)) @t16) @t45))) % 2.62/2.81 (assume @p44 (forall @t101 (=> @t100 (= @t99 @t96)))) % 2.62/2.81 (assume @p45 (forall @t20 (=> @t102 (= (tptp.c_RealVector_Onorm__class_Onorm @t12 @t13) @t7)))) % 2.62/2.81 (assume @p46 (forall (@list @t103 @t106 @t104 @t32) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t108 (tptp.c_Complex_Ocomplex_OComplex @t106 @t103)) (tptp.c_Complex_Ocomplex_OComplex @t107 @t105)))) % 2.62/2.81 (assume @p47 (forall @t116 (=> @t23 (= (tptp.hAPP (tptp.hAPP @t17 @t115) @t16) (tptp.c_Groups_Oplus__class_Oplus @t12 @t114 (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP @t110 @t49)) @t50)))))) % 2.62/2.81 (assume @p48 (= (tptp.c_Groups_Oone__class_Oone tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral @t14))) % 2.62/2.81 (assume @p49 (forall @t118 (=> @t117 (= (tptp.hAPP @t18 @t93) @t13)))) % 2.62/2.81 (assume @p50 (forall @t77 (=> @t126 (= (= @t125 @t119) @t122)))) % 2.62/2.81 (assume @p51 (forall (@list @t24 @t127) (=> (and (tptp.class_Groups_Omonoid__mult @t127) @t130) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t127) @t128) @t16) (tptp.hAPP (tptp.hAPP @t129 @t128) @t128))))) % 2.62/2.81 (assume @p52 (forall @t136 (=> @t135 (= (= @t134 @t13) (or (= @t132 @t13) (= @t132 @t131)))))) % 2.62/2.81 (assume @p53 (forall @t142 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Complex_Ocomplex_OComplex @t49 @t50)) @t141))) % 2.62/2.81 (assume @p54 (not (= @t143 @t42))) % 2.62/2.81 (assume @p55 (= @t145 (tptp.c_Complex_Ocomplex_OComplex @t144 @t144))) % 2.62/2.81 (assume @p56 (forall @t20 (=> @t146 (= (tptp.c_RealVector_Onorm__class_Onorm @t12 @t119) @t144)))) % 2.62/2.81 (assume @p57 (forall @t44 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t41) @t41))) % 2.62/2.81 (assume @p58 (forall @t148 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t53) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t147)))) % 2.62/2.81 (assume @p59 (forall @t150 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t108) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t32) @t149)))) % 2.62/2.81 (assume @p60 (forall @t116 (=> @t100 (= @t156 @t153)))) % 2.62/2.81 (assume @p61 (forall @t92 (= (tptp.hAPP (tptp.hAPP @t157 @t42) @t45) @t45))) % 2.62/2.81 (assume @p62 (forall @t92 (= (tptp.hAPP @t158 @t42) @t45))) % 2.62/2.81 (assume @p63 (forall @t51 (= (tptp.hAPP @t160 @t162) (tptp.hAPP (tptp.hAPP @t157 @t161) (tptp.hAPP @t160 @t45))))) % 2.62/2.81 (assume @p64 (forall @t164 (=> @t146 (= (= @t163 @t144) @t121)))) % 2.62/2.81 (assume @p65 (forall @t55 (= (tptp.hAPP (tptp.hAPP @t157 @t54) @t53) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t166)))) % 2.62/2.81 (assume @p66 (forall (@list @t45 @t24 @t12) (=> @t23 (= (tptp.hAPP (tptp.hAPP @t109 @t168) @t45) (tptp.hAPP (tptp.hAPP @t109 @t167) @t45))))) % 2.62/2.81 (assume @p67 (forall (@list @t170 @t132 @t12) (=> @t179 (= (= @t174 @t119) (and @t173 @t172))))) % 2.62/2.81 (assume @p68 (forall @t183 (= (= @t182 @t145) (and (= @t132 @t144) @t181)))) % 2.62/2.81 (assume @p69 (forall @t116 (=> @t185 (= (tptp.hAPP (tptp.hAPP @t109 @t184) @t50) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t155))))) % 2.62/2.81 (assume @p70 (forall @t192 (=> @t185 (= @t191 @t188)))) % 2.62/2.81 (assume @p71 (forall (@list @t49 @t193 @t12) (=> @t185 (= (tptp.hAPP @t194 @t184) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t195))))) % 2.62/2.81 (assume @p72 (forall @t192 (=> @t185 (= @t197 @t188)))) % 2.62/2.81 (assume @p73 (forall @t198 (=> @t185 (= (tptp.hAPP @t154 @t119) @t119)))) % 2.62/2.81 (assume @p74 (forall @t34 (=> @t185 @t199))) % 2.62/2.81 (assume @p75 (forall @t201 (=> @t185 (= (tptp.hAPP @t200 @t50) @t119)))) % 2.62/2.81 (assume @p76 (forall (@list @t104 @t12) (=> @t185 (= (tptp.hAPP @t200 @t104) @t119)))) % 2.62/2.81 (assume @p77 (forall @t27 (=> @t23 (= @t167 @t168)))) % 2.62/2.81 (assume @p78 (forall @t27 (=> @t23 (= @t168 @t167)))) % 2.62/2.81 (assume @p79 (forall @t86 (=> @t23 (= (tptp.hAPP @t203 (tptp.hAPP (tptp.hAPP @t109 @t25) @t45)) (tptp.hAPP (tptp.hAPP @t109 @t202) @t45))))) % 2.62/2.81 (assume @p80 (forall @t88 (=> @t23 (= @t204 @t202)))) % 2.62/2.81 (assume @p81 (forall @t88 (=> @t23 (= @t202 @t204)))) % 2.62/2.81 (assume @p82 (forall @t77 (=> @t208 (= (= @t207 @t119) @t122)))) % 2.62/2.81 (assume @p83 (forall @t92 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t209 @t45) @t143))) % 2.62/2.81 (assume @p84 (forall (@list @t210 @t104 @t32 @t12) (=> @t185 (= (tptp.hAPP @t186 (tptp.c_Groups_Oplus__class_Oplus @t12 @t104 @t210)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 (tptp.hAPP @t186 @t210)))))) % 2.62/2.81 (assume @p85 (forall (@list @t50 @t49 @t193 @t12) (=> @t185 (= (tptp.hAPP @t194 @t115) (tptp.c_Groups_Oplus__class_Oplus @t12 @t195 (tptp.hAPP @t194 @t50)))))) % 2.62/2.81 (assume @p86 (forall (@list @t104 @t211 @t32 @t12) (=> @t185 (= (tptp.hAPP (tptp.hAPP @t109 (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t211)) @t104) (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 (tptp.hAPP (tptp.hAPP @t109 @t211) @t104)))))) % 2.62/2.81 (assume @p87 (forall @t214 (=> @t185 (= (tptp.hAPP (tptp.hAPP @t109 @t115) @t212) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t154 @t212) (tptp.hAPP @t213 @t212)))))) % 2.62/2.81 (assume @p88 (forall @t220 (=> @t117 (= @t219 @t217)))) % 2.62/2.81 (assume @p89 (forall @t224 (=> @t223 (= (tptp.hAPP (tptp.hAPP @t17 @t187) @t93) (tptp.hAPP @t218 @t222))))) % 2.62/2.81 (assume @p90 (forall @t228 (=> @t117 (= (tptp.hAPP @t215 @t227) (tptp.hAPP (tptp.hAPP @t109 @t226) @t216))))) % 2.62/2.81 (assume @p91 (forall @t198 (=> @t146 (= (tptp.c_RealVector_Onorm__class_Onorm @t12 @t184) @t94)))) % 2.62/2.81 (assume @p92 (forall @t228 (=> @t117 (= (tptp.hAPP @t215 @t231) (tptp.hAPP (tptp.hAPP @t17 @t226) @t93))))) % 2.62/2.81 (assume @p93 (forall @t220 (=> @t135 (=> @t233 (not (= @t216 @t119)))))) % 2.62/2.81 (assume @p94 (= (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Code__Numeral_Ocode__numeral) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Code__Numeral_Ocode__numeral tptp.c_Int_OPls))) % 2.62/2.81 (assume @p95 (forall @t220 (=> @t236 (= (tptp.hAPP @t235 @t93) (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP @t234 @t93)) @t216))))) % 2.62/2.81 (assume @p96 (forall @t118 (=> @t241 (and (=> @t239 (= @t238 @t13)) (=> @t240 (= @t238 @t119)))))) % 2.62/2.81 (assume @p97 (forall (@list @t78 @t180 @t132) (= (= @t182 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t78)) (and (= @t132 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t78)) @t181)))) % 2.62/2.81 (assume @p98 (= @t242 tptp.c_Int_OPls)) % 2.62/2.81 (assume @p99 (forall @t44 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t64) (tptp.c_Int_OBit0 @t243)))) % 2.62/2.81 (assume @p100 (forall @t48 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t47) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t209 @t147)))) % 2.62/2.81 (assume @p101 (forall @t148 (= (tptp.hAPP (tptp.hAPP @t157 tptp.c_Int_OPls) @t24) tptp.c_Int_OPls))) % 2.62/2.81 (assume @p102 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t157 @t64) @t61) @t245))) % 2.62/2.81 (assume @p103 (forall @t248 (= (tptp.hAPP (tptp.hAPP @t157 @t59) @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t247 @t24) (tptp.hAPP @t246 @t24))))) % 2.62/2.81 (assume @p104 (forall (@list @t57 @t58 @t24) (= (tptp.hAPP @t249 @t59) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t249 @t58) (tptp.hAPP @t249 @t57))))) % 2.62/2.81 (assume @p105 (forall @t136 (=> @t251 (= (= @t250 @t119) @t173)))) % 2.62/2.81 (assume @p106 (= tptp.c_Int_OPls @t143)) % 2.62/2.81 (assume @p107 (= @t143 @t252)) % 2.62/2.81 (assume @p108 (forall @t92 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t45 @t143) @t45))) % 2.62/2.81 (assume @p109 (forall @t92 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t143 @t45) @t45))) % 2.62/2.81 (assume @p110 (forall @t92 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t253 @t45) @t143)))) % 2.62/2.81 (assume @p111 (forall @t34 (=> @t178 (= (tptp.hAPP @t215 @t169) @t13)))) % 2.62/2.81 (assume @p112 (forall @t183 (= (= @t182 @t254) (and (= @t132 @t7) @t181)))) % 2.62/2.81 (assume @p113 (= @t254 (tptp.c_Complex_Ocomplex_OComplex @t7 @t144))) % 2.62/2.81 (assume @p114 (forall (@list @t106 @t104 @t28 @t127) (=> @t257 (= (tptp.hAPP @t256 (tptp.c_Groups_Oplus__class_Oplus @t127 @t104 @t106)) (tptp.c_Groups_Oplus__class_Oplus @t127 (tptp.hAPP @t256 @t104) (tptp.hAPP @t256 @t106)))))) % 2.62/2.81 (assume @p115 (forall (@list @t28 @t104 @t32 @t127) (=> @t257 (= (tptp.hAPP (tptp.hAPP @t129 (tptp.c_Groups_Oplus__class_Oplus @t127 @t32 @t104)) @t255) (tptp.c_Groups_Oplus__class_Oplus @t127 (tptp.hAPP (tptp.hAPP @t129 @t32) @t255) (tptp.hAPP (tptp.hAPP @t129 @t104) @t255)))))) % 2.62/2.81 (assume @p116 (forall @t20 (=> @t23 (= @t119 @t33)))) % 2.62/2.81 (assume @p117 (forall @t20 (=> @t23 (= @t33 @t119)))) % 2.62/2.81 (assume @p118 (= @t169 @t258)) % 2.62/2.81 (assume @p119 (= @t258 @t169)) % 2.62/2.81 (assume @p120 (forall @t220 (=> @t236 (= (tptp.hAPP @t235 @t260) @t261)))) % 2.62/2.81 (assume @p121 (forall @t118 (=> @t236 (= (tptp.hAPP @t234 @t260) @t13)))) % 2.62/2.81 (assume @p122 (forall @t34 (=> @t23 (= (tptp.hAPP @t186 @t30) @t32)))) % 2.62/2.81 (assume @p123 (forall @t34 (=> @t23 (= (tptp.hAPP (tptp.hAPP @t109 @t30) @t32) @t32)))) % 2.62/2.81 (assume @p124 (forall @t65 (= (tptp.hAPP (tptp.hAPP @t157 @t43) @t61) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t245 @t61)))) % 2.62/2.81 (assume @p125 (forall @t27 (=> @t23 (= @t262 (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t119 @t25) @t25))))) % 2.62/2.81 (assume @p126 (forall @t34 (=> @t117 (= (tptp.hAPP @t215 @t68) @t32)))) % 2.62/2.81 (assume @p127 (forall (@list @t263 @t265 @t264 @t266) (= (= @t267 (tptp.c_Complex_Ocomplex_OComplex @t265 @t263)) (and (= @t266 @t265) (= @t264 @t263))))) % 2.62/2.81 (assume @p128 (forall @t27 (=> @t23 (= (tptp.hAPP @t268 @t25) @t262)))) % 2.62/2.81 (assume @p129 (forall @t34 (=> @t117 (= (tptp.hAPP @t215 @t271) (tptp.hAPP (tptp.hAPP @t109 @t269) @t32))))) % 2.62/2.81 (assume @p130 (forall @t92 (= (tptp.hAPP (tptp.hAPP @t229 @t45) @t16) @t272))) % 2.62/2.81 (assume @p131 (forall @t92 (= (tptp.hAPP @t259 @t45) @t272))) % 2.62/2.81 (assume @p132 (forall @t142 (= (tptp.hAPP (tptp.hAPP @t95 @t276) @t16) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t140 (tptp.hAPP (tptp.hAPP @t152 @t275) @t50))))) % 2.62/2.81 (assume @p133 (forall @t34 (=> @t236 (= (tptp.hAPP @t235 @t16) @t277)))) % 2.62/2.81 (assume @p134 (forall @t280 (=> @t23 (= (tptp.hAPP @t279 @t21) @t278)))) % 2.62/2.81 (assume @p135 (forall @t280 (=> @t23 (= (tptp.hAPP @t110 @t45) @t278)))) % 2.62/2.81 (assume @p136 (forall @t34 (=> @t117 (= @t277 @t269)))) % 2.62/2.81 (assume @p137 (forall @t220 (=> @t117 (= @t261 @t281)))) % 2.62/2.81 (assume @p138 (forall @t20 (=> @t19 (= (tptp.hAPP @t237 @t16) @t119)))) % 2.62/2.81 (assume @p139 (forall @t136 (=> @t135 (= (= @t134 @t119) @t173)))) % 2.62/2.81 (assume @p140 (forall @t284 (= (tptp.hAPP (tptp.hAPP @t95 @t283) @t16) @t282))) % 2.62/2.81 (assume @p141 (forall @t142 (=> (= @t141 @t49) (= @t50 @t144)))) % 2.62/2.81 (assume @p142 (forall @t142 (=> (= @t141 @t50) @t285))) % 2.62/2.81 (assume @p143 (forall @t288 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t71) @t16) (tptp.hAPP (tptp.hAPP @t95 @t70) @t16)) @t144) @t287))) % 2.62/2.81 (assume @p144 (forall @t101 (=> @t290 (= (tptp.hAPP @t97 @t260) @t289)))) % 2.62/2.81 (assume @p145 (forall @t198 (=> @t290 (= @t291 @t113)))) % 2.62/2.81 (assume @p146 (forall @t292 (= (tptp.hAPP (tptp.hAPP @t152 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit0 @t15))) @t139) (tptp.hAPP (tptp.hAPP @t95 @t275) @t16)))) % 2.62/2.81 (assume @p147 (forall @t27 (=> @t241 (and (=> @t295 (= @t294 @t13)) (=> (not @t295) (= @t294 @t119)))))) % 2.62/2.81 (assume @p148 (forall @t300 (=> @t290 (= (tptp.hAPP (tptp.hAPP @t109 @t299) @t298) (tptp.hAPP @t97 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t297 @t296)))))) % 2.62/2.81 (assume @p149 (forall (@list @t78 @t132 @t12) (=> @t179 (= (= (tptp.hAPP @t133 @t301) @t119) (and @t173 (not @t302)))))) % 2.62/2.81 (assume @p150 (forall @t198 (=> (tptp.class_Rings_Ocomm__ring__1 @t12) (= @t184 (tptp.hAPP (tptp.hAPP @t109 @t131) @t49))))) % 2.62/2.81 (assume @p151 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t143) @t143)) % 2.62/2.81 (assume @p152 (forall @t92 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t209) @t45))) % 2.62/2.81 (assume @p153 (forall @t48 (= @t303 (tptp.hAPP @t249 @t45)))) % 2.62/2.81 (assume @p154 (forall @t48 (= (tptp.hAPP (tptp.hAPP @t157 @t209) @t24) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t303)))) % 2.62/2.81 (assume @p155 (forall @t51 (= (tptp.hAPP (tptp.hAPP @t159 @t161) @t45) (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP @t229 @t50) @t45))))) % 2.62/2.81 (assume @p156 (forall @t60 (= (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t247 @t57)) @t56) (tptp.hAPP @t247 (tptp.hAPP @t246 @t56))))) % 2.62/2.81 (assume @p157 (forall @t308 (=> @t307 (= (= (tptp.hAPP @t306 @t132) (tptp.hAPP @t306 @t180)) @t304)))) % 2.62/2.81 (assume @p158 (forall @t308 (=> @t307 (= (= (tptp.hAPP (tptp.hAPP @t152 @t132) @t305) (tptp.hAPP (tptp.hAPP @t152 @t180) @t305)) @t304)))) % 2.62/2.81 (assume @p159 (forall @t60 (= (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t310 @t57)) @t56) (tptp.hAPP @t310 (tptp.hAPP @t309 @t56))))) % 2.62/2.81 (assume @p160 (forall @t48 (= (tptp.hAPP @t311 @t24) (tptp.hAPP (tptp.hAPP @t152 @t24) @t45)))) % 2.62/2.81 (assume @p161 (forall @t192 (=> @t290 (= @t187 @t313)))) % 2.62/2.81 (assume @p162 (forall @t321 (=> @t290 (= @t320 (tptp.hAPP @t318 (tptp.hAPP @t316 @t314)))))) % 2.62/2.81 (assume @p163 (forall @t321 (=> @t290 (= @t320 (tptp.hAPP @t322 @t314))))) % 2.62/2.81 (assume @p164 (forall @t327 (=> @t290 (= @t326 (tptp.hAPP @t316 (tptp.hAPP @t324 @t317)))))) % 2.62/2.81 (assume @p165 (forall @t327 (=> @t290 (= @t326 (tptp.hAPP @t322 @t323))))) % 2.62/2.81 (assume @p166 (forall @t329 (=> @t290 (= @t328 (tptp.hAPP @t316 (tptp.hAPP @t324 @t319)))))) % 2.62/2.81 (assume @p167 (forall @t329 (=> @t290 (= @t328 (tptp.hAPP @t318 (tptp.hAPP @t325 @t314)))))) % 2.62/2.81 (assume @p168 (forall @t329 (=> @t290 (= @t328 (tptp.hAPP @t322 (tptp.hAPP @t324 @t314)))))) % 2.62/2.81 (assume @p169 (forall @t334 (=> @t290 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t333 @t332) (tptp.c_Groups_Oplus__class_Oplus @t12 @t331 @t330))))) % 2.62/2.81 (assume @p170 (forall @t336 (=> @t290 (= @t335 (tptp.c_Groups_Oplus__class_Oplus @t12 @t331 @t104))))) % 2.62/2.81 (assume @p171 (forall @t336 (=> @t290 @t338))) % 2.62/2.81 (assume @p172 (forall @t340 (=> @t290 (= @t339 (tptp.c_Groups_Oplus__class_Oplus @t12 @t331 @t103))))) % 2.62/2.81 (assume @p173 (forall @t340 (=> @t290 (= @t339 (tptp.c_Groups_Oplus__class_Oplus @t12 @t106 (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t103)))))) % 2.62/2.81 (assume @p174 (forall (@list @t106 @t32 @t12) (=> @t290 (= @t331 @t341)))) % 2.62/2.81 (assume @p175 (forall @t300 (=> @t290 (= (tptp.hAPP (tptp.hAPP @t17 @t299) @t296) (tptp.hAPP @t97 (tptp.hAPP (tptp.hAPP @t229 @t297) @t296)))))) % 2.62/2.81 (assume @p176 (not (= @t144 @t7))) % 2.62/2.81 (assume @p177 (forall @t92 (= (tptp.hAPP (tptp.hAPP @t152 @t7) @t45) @t45))) % 2.62/2.81 (assume @p178 (forall @t248 (= (tptp.hAPP (tptp.hAPP @t152 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t58 @t57)) @t24) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t310 @t24) (tptp.hAPP @t309 @t24))))) % 2.62/2.81 (assume @p179 (forall @t288 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t344 (tptp.hAPP @t342 @t70)) @t144) @t287))) % 2.62/2.81 (assume @p180 (forall (@list @t132 @t71) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t71 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t132)) @t144) (= @t71 @t132)))) % 2.62/2.81 (assume @p181 (forall @t288 (= (= @t346 @t144) (= @t70 @t345)))) % 2.62/2.81 (assume @p182 (= (tptp.c_NthRoot_Osqrt @t144) @t144)) % 2.62/2.81 (assume @p183 (forall @t292 (= (tptp.c_NthRoot_Osqrt @t348) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t347)))) % 2.62/2.81 (assume @p184 (forall @t142 (= (tptp.c_NthRoot_Osqrt @t351) (tptp.hAPP (tptp.hAPP @t152 @t347) @t349)))) % 2.62/2.81 (assume @p185 (forall @t353 (= (= @t352 @t144) @t286))) % 2.62/2.81 (assume @p186 @t356) % 2.62/2.81 (assume @p187 (forall @t34 (=> @t290 @t357))) % 2.62/2.81 (assume @p188 (forall @t34 (=> @t290 @t199))) % 2.62/2.81 (assume @p189 (forall @t360 (=> @t359 (= (= @t180 @t358) @t173)))) % 2.62/2.81 (assume @p190 (forall @t34 (=> @t290 @t361))) % 2.62/2.81 (assume @p191 (forall @t34 (=> @t290 @t362))) % 2.62/2.81 (assume @p192 (forall (@list @t363 @t71 @t70 @t78 @t12) (=> @t359 (= (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t366 @t365) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t364 @t363) (tptp.hAPP @t205 @t70))) (or (= @t78 @t71) (= @t70 @t363)))))) % 2.62/2.81 (assume @p193 (forall (@list @t104 @t225 @t32 @t12) (=> @t290 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t368 (tptp.hAPP @t312 @t225)) (tptp.hAPP @t367 @t225))))) % 2.62/2.81 (assume @p194 (forall @t336 (=> @t290 @t371))) % 2.62/2.81 (assume @p195 (forall (@list @t374 @t305 @t180 @t132 @t12) (=> @t359 (= (and (not @t304) (not (= @t305 @t374))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t376 (tptp.hAPP @t372 @t374)) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t375 @t374) @t373))))))) % 2.62/2.81 (assume @p196 (forall @t378 (=> @t290 (= (tptp.hAPP @t154 (tptp.c_Groups_Oplus__class_Oplus @t12 @t50 @t45)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t155 @t377))))) % 2.62/2.81 (assume @p197 (forall @t34 (=> @t290 @t379))) % 2.62/2.81 (assume @p198 (forall @t34 (=> @t290 @t380))) % 2.62/2.81 (assume @p199 (forall (@list @t296 @t50 @t49 @t12) (=> @t290 (= (tptp.hAPP (tptp.hAPP @t17 @t155) @t296) (tptp.hAPP @t381 (tptp.hAPP @t111 @t296)))))) % 2.62/2.81 (assume @p200 (forall @t198 (=> @t290 (= (tptp.hAPP @t97 @t169) @t13)))) % 2.62/2.81 (assume @p201 (forall @t198 (=> @t290 (= (tptp.hAPP @t97 @t68) @t49)))) % 2.62/2.81 (assume @p202 (forall (@list @t41 @t49) (= (tptp.c_NthRoot_Osqrt (tptp.hAPP @t138 @t41)) (tptp.hAPP @t382 @t41)))) % 2.62/2.81 (assume @p203 (forall @t353 (= (= @t352 @t7) (= @t71 @t7)))) % 2.62/2.81 (assume @p204 (= @t383 @t7)) % 2.62/2.81 (assume @p205 (forall (@list @t103 @t106 @t104 @t32 @t384 @t12) (=> @t359 (=> (not (= @t384 @t119)) (=> (and @t386 (not (= @t106 @t103))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 (tptp.hAPP @t385 @t106)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t104 (tptp.hAPP @t385 @t103))))))))) % 2.62/2.81 (assume @p206 (forall @t77 (=> @t388 (= @t387 (= @t70 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t71)))))) % 2.62/2.81 (assume @p207 (forall (@list @t225 @t32 @t12) (=> @t290 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t368 @t225) @t390)))) % 2.62/2.81 (assume @p208 (forall (@list @t32 @t225 @t12) (=> @t290 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t225 @t368) @t390)))) % 2.62/2.81 (assume @p209 (forall (@list @t225 @t12) (=> @t290 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t225 @t225) (tptp.hAPP @t268 @t225))))) % 2.62/2.81 (assume @p210 (forall @t394 (= (tptp.c_Complex_Ocomplex_Ocomplex__size @t393) @t169))) % 2.62/2.81 (assume @p211 (forall @t395 (=> (= @t225 @t231) (or (= @t93 @t68) (= @t225 @t169))))) % 2.62/2.81 (assume @p212 (forall @t164 (=> @t135 (= (= @t206 @t13) (or @t396 (= @t71 @t131)))))) % 2.62/2.81 (assume @p213 (forall @t192 (=> @t388 (=> (= @t333 @t119) (= @t189 @t104))))) % 2.62/2.81 (assume @p214 (forall @t34 (=> @t398 @t397))) % 2.62/2.81 (assume @p215 (forall @t34 (=> @t388 @t397))) % 2.62/2.81 (assume @p216 (forall @t402 (=> @t388 (= @t401 (= @t399 @t119))))) % 2.62/2.81 (assume @p217 (forall @t34 (=> @t388 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 @t189) @t119)))) % 2.62/2.81 (assume @p218 (forall @t164 (=> (tptp.class_Groups_Ozero @t12) (= (= @t119 @t71) @t121)))) % 2.62/2.81 (assume @p219 (forall @t336 (=> (tptp.class_Groups_Oab__semigroup__mult @t12) (= (tptp.hAPP (tptp.hAPP @t109 @t187) @t106) (tptp.hAPP @t186 @t369))))) % 2.62/2.81 (assume @p220 (forall @t336 (=> (tptp.class_Groups_Oab__semigroup__add @t12) @t338))) % 2.62/2.81 (assume @p221 (forall @t406 (=> @t405 (= (= @t399 @t404) @t403)))) % 2.62/2.81 (assume @p222 (forall (@list @t305 @t132 @t180 @t12) (=> @t405 (= (= @t358 @t407) @t403)))) % 2.62/2.81 (assume @p223 (forall @t336 (=> @t405 @t409))) % 2.62/2.81 (assume @p224 (forall @t336 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t12) @t409))) % 2.62/2.81 (assume @p225 (forall @t410 (=> @t405 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t104 @t32) @t341) @t408)))) % 2.62/2.81 (assume @p226 (forall @t164 (=> (tptp.class_Groups_Oone @t12) (= (= @t13 @t71) @t396)))) % 2.62/2.81 (assume @p227 (forall @t402 (=> @t388 (= (= @t411 @t400) @t304)))) % 2.62/2.81 (assume @p228 (forall @t402 (=> @t388 (= (= @t411 @t180) (= @t400 @t132))))) % 2.62/2.81 (assume @p229 (forall @t402 (=> @t388 (= @t401 (= @t180 @t411))))) % 2.62/2.81 (assume @p230 (forall @t34 (=> @t388 (= (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t189) @t32)))) % 2.62/2.81 (assume @p231 (forall @t395 (= @t227 @t412))) % 2.62/2.81 (assume @p232 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t49 @t162) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t49 @t45))))) % 2.62/2.81 (assume @p233 (forall @t413 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t227 @t41) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t41))))) % 2.62/2.81 (assume @p234 (forall @t418 (= (= @t417 @t416) @t415))) % 2.62/2.81 (assume @p235 (forall @t419 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t38)) @t415))) % 2.62/2.81 (assume @p236 (forall @t395 (= @t231 @t421))) % 2.62/2.81 (assume @p237 (forall @t413 (= (tptp.hAPP (tptp.hAPP @t229 @t231) @t41) (tptp.hAPP @t230 @t422)))) % 2.62/2.81 (assume @p238 (forall @t192 (=> @t176 (=> @t424 (or @t232 @t423))))) % 2.62/2.81 (assume @p239 (forall @t192 (=> @t176 (=> @t233 (=> @t425 (not @t424)))))) % 2.62/2.81 (assume @p240 (forall @t402 (=> (tptp.class_Rings_Oring__no__zero__divisors @t12) (= (= @t427 @t119) (or @t173 @t426))))) % 2.62/2.81 (assume @p241 (forall @t34 (=> @t177 @t199))) % 2.62/2.81 (assume @p242 (forall @t34 (=> @t177 @t357))) % 2.62/2.81 (assume @p243 (forall @t34 (=> @t428 @t362))) % 2.62/2.81 (assume @p244 (forall @t34 (=> @t429 @t362))) % 2.62/2.81 (assume @p245 (forall @t136 (=> @t251 (= (= @t119 @t250) @t173)))) % 2.62/2.81 (assume @p246 (forall @t34 (=> @t428 @t361))) % 2.62/2.81 (assume @p247 (forall @t34 (=> @t429 @t361))) % 2.62/2.81 (assume @p248 (forall @t20 (=> @t175 (not (= @t13 @t119))))) % 2.62/2.81 (assume @p249 (forall @t20 (=> @t175 (not (= @t119 @t13))))) % 2.62/2.81 (assume @p250 (forall @t336 (=> (tptp.class_Rings_Ocomm__semiring @t12) @t371))) % 2.62/2.81 (assume @p251 (forall (@list @t106 @t104 @t430 @t32 @t12) (=> (tptp.class_Rings_Osemiring @t12) (= (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t186 @t430) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t312 @t430) @t106)) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t367 @t430) @t106))))) % 2.62/2.81 (assume @p252 (forall @t136 (=> @t251 (= (= @t411 @t132) @t173)))) % 2.62/2.81 (assume @p253 (forall @t136 (=> @t388 (= (= @t411 @t119) @t173)))) % 2.62/2.81 (assume @p254 (forall @t136 (=> @t251 (= (= @t132 @t411) @t173)))) % 2.62/2.81 (assume @p255 (forall @t136 (=> @t388 (= (= @t119 @t411) (= @t119 @t132))))) % 2.62/2.81 (assume @p256 (forall @t20 (=> @t388 (= (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t119) @t119)))) % 2.62/2.81 (assume @p257 (forall @t34 (=> @t117 @t380))) % 2.62/2.81 (assume @p258 (forall @t34 (=> @t223 @t380))) % 2.62/2.81 (assume @p259 (forall @t34 (=> @t117 @t379))) % 2.62/2.81 (assume @p260 (forall @t34 (=> @t223 @t379))) % 2.62/2.81 (assume @p261 (forall @t402 (=> @t431 (= (= (tptp.hAPP @t375 @t132) (tptp.hAPP @t372 @t180)) (or @t304 @t401))))) % 2.62/2.81 (assume @p262 (forall @t192 (=> @t432 (= (tptp.hAPP @t190 @t196) @t187)))) % 2.62/2.81 (assume @p263 (forall @t192 (=> @t432 (= @t191 @t197)))) % 2.62/2.81 (assume @p264 (forall @t192 (=> @t432 (= @t188 @t191)))) % 2.62/2.81 (assume @p265 (forall @t192 (=> @t432 (= @t188 @t197)))) % 2.62/2.81 (assume @p266 (forall @t192 (=> @t398 (= @t433 (tptp.c_Groups_Oplus__class_Oplus @t12 @t189 @t196))))) % 2.62/2.81 (assume @p267 (forall @t192 (=> @t388 (= @t433 (tptp.c_Groups_Oplus__class_Oplus @t12 @t196 @t189))))) % 2.62/2.81 (assume @p268 (forall @t192 (=> @t388 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t32 (tptp.c_Groups_Oplus__class_Oplus @t12 @t189 @t104)) @t104)))) % 2.62/2.81 (assume @p269 (forall @t192 (=> @t388 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t189 @t333) @t104)))) % 2.62/2.81 (assume @p270 (forall @t434 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t169 @t93) @t93))) % 2.62/2.81 (assume @p271 (forall @t435 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t169) @t225))) % 2.62/2.81 (assume @p272 (forall @t438 (= (= @t437 @t169) (and @t436 @t171)))) % 2.62/2.81 (assume @p273 (forall @t395 (=> (= @t227 @t225) @t239))) % 2.62/2.81 (assume @p274 (forall @t434 (= (tptp.hAPP (tptp.hAPP @t229 @t169) @t93) @t169))) % 2.62/2.81 (assume @p275 (forall @t435 (= (tptp.hAPP @t230 @t169) @t169))) % 2.62/2.81 (assume @p276 (forall @t438 (= (= @t440 @t169) (or @t436 @t171)))) % 2.62/2.81 (assume @p277 (forall @t418 (= @t446 @t442))) % 2.62/2.81 (assume @p278 (forall @t419 (= (= @t448 @t447) @t442))) % 2.62/2.81 (assume @p279 (forall (@list @t93 @t225 @t41) (= (tptp.hAPP @t449 @t227) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t449 @t225) (tptp.hAPP @t449 @t93))))) % 2.62/2.81 (assume @p280 (forall @t413 (= (tptp.hAPP (tptp.hAPP @t229 @t227) @t41) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t230 @t41) @t422)))) % 2.62/2.81 (assume @p281 (forall @t434 (= (tptp.hAPP (tptp.hAPP @t229 @t68) @t93) @t93))) % 2.62/2.81 (assume @p282 (forall @t438 (= (= @t68 @t440) @t450))) % 2.62/2.81 (assume @p283 (forall @t434 (= (tptp.hAPP @t420 @t68) @t93))) % 2.62/2.81 (assume @p284 (forall @t438 (= (= @t440 @t68) @t450))) % 2.62/2.81 (assume @p285 (forall @t452 (=> @t23 (= (= @t13 @t73) (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 @t451))))))) % 2.62/2.81 (assume @p286 (forall @t164 (=> @t23 (= (= @t74 @t13) (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t14)))))))) % 2.62/2.81 (assume @p287 (forall @t284 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t283))) % 2.62/2.81 (assume @p288 (forall @t394 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Complex_Ocomplex @t393) @t169))) % 2.62/2.81 (assume @p289 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t141))) % 2.62/2.81 (assume @p290 (forall @t164 (=> @t23 (= (= @t74 @t119) (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t242))))))) % 2.62/2.81 (assume @p291 (forall @t452 (=> @t23 (= (= @t119 @t73) (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t451))))))) % 2.62/2.81 (assume @p292 (forall @t77 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t74 @t73) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t71 @t70))))) % 2.62/2.81 (assume @p293 (forall @t48 (=> @t456 (=> @t455 @t454)))) % 2.62/2.81 (assume @p294 (forall @t459 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t457 @t458) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t458 @t41) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t457 @t41))))) % 2.62/2.81 (assume @p295 (forall @t48 (or @t456 @t455))) % 2.62/2.81 (assume @p296 (forall @t148 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t24 @t24))) % 2.62/2.81 (assume @p297 (forall @t465 (=> @t464 (=> @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t216 @t461)))))) % 2.62/2.81 (assume @p298 (forall @t469 (=> @t468 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t404 @t467) @t466)))) % 2.62/2.81 (assume @p299 (forall @t471 (=> @t468 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t407 @t470) @t466)))) % 2.62/2.81 (assume @p300 (forall @t336 (=> @t474 (=> @t473 @t472)))) % 2.62/2.81 (assume @p301 (forall @t336 (=> @t474 (=> @t473 @t476)))) % 2.62/2.81 (assume @p302 (forall @t334 (=> @t474 (=> @t473 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t331 @t330)))))) % 2.62/2.81 (assume @p303 (forall @t478 (=> @t468 (=> @t472 @t473)))) % 2.62/2.81 (assume @p304 (forall @t479 (=> @t468 (=> @t476 @t473)))) % 2.62/2.81 (assume @p305 (forall @t192 (=> @t480 (=> @t473 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t196 @t189))))) % 2.62/2.81 (assume @p306 (forall @t360 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t400 @t411) @t466)))) % 2.62/2.81 (assume @p307 (forall @t402 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t411 @t180) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t400 @t132))))) % 2.62/2.81 (assume @p308 (forall @t402 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t400) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t411))))) % 2.62/2.81 (assume @p309 (forall @t51 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t45 @t49) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t45 @t50))))) % 2.62/2.81 (assume @p310 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t352 @t354) @t482))) % 2.62/2.81 (assume @p311 (forall @t142 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t347 @t349)))) % 2.62/2.81 (assume @p312 (forall @t164 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t74 @t119) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t71 tptp.c_Int_OPls))))) % 2.62/2.81 (assume @p313 (forall @t452 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t73) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t70))))) % 2.62/2.81 (assume @p314 (forall @t465 (=> @t464 (=> @t463 (=> @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t32 @t13) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t461 @t216))))))) % 2.62/2.81 (assume @p315 (forall (@list @t363 @t12) (=> @t19 (= (tptp.c_Int_Oiszero @t12 @t363) @t484)))) % 2.62/2.81 (assume @p316 (forall @t20 (=> @t19 (tptp.c_Int_Oiszero @t12 @t119)))) % 2.62/2.81 (assume @p317 (forall @t164 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t74 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t71 @t14))))) % 2.62/2.81 (assume @p318 (forall @t452 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t73) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t14 @t70))))) % 2.62/2.81 (assume @p319 (forall @t20 (=> @t19 (not (tptp.c_Int_Oiszero @t12 @t13))))) % 2.62/2.81 (assume @p320 (forall @t34 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t269)))) % 2.62/2.81 (assume @p321 (forall @t402 (=> @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t427) @t490)))) % 2.62/2.81 (assume @p322 (forall @t402 (=> @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t427 @t119) @t491)))) % 2.62/2.81 (assume @p323 (forall @t192 (=> @t494 (=> @t483 (=> @t493 @t492))))) % 2.62/2.81 (assume @p324 (forall @t192 (=> @t494 (=> @t483 (=> @t496 @t495))))) % 2.62/2.81 (assume @p325 (forall @t192 (=> @t494 (=> @t483 (=> @t496 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t313 @t119)))))) % 2.62/2.81 (assume @p326 (forall @t192 (=> @t494 (=> @t497 (=> @t493 @t495))))) % 2.62/2.81 (assume @p327 (forall @t192 (=> @t498 (=> @t497 (=> @t496 @t492))))) % 2.62/2.81 (assume @p328 (forall @t336 (=> @t501 (=> @t473 (=> @t500 @t499))))) % 2.62/2.81 (assume @p329 (forall @t336 (=> @t501 @t506))) % 2.62/2.81 (assume @p330 (forall @t336 (=> (tptp.class_Rings_Oordered__comm__semiring @t12) @t506))) % 2.62/2.81 (assume @p331 (forall @t410 (=> @t498 (=> @t508 (=> @t507 @t499))))) % 2.62/2.81 (assume @p332 (forall @t410 (=> @t498 (=> @t508 (=> @t507 @t505))))) % 2.62/2.81 (assume @p333 (forall @t334 (=> @t501 (=> @t473 (=> @t477 (=> @t483 @t510)))))) % 2.62/2.81 (assume @p334 (forall @t334 (=> @t501 (=> @t473 (=> @t477 (=> @t493 @t510)))))) % 2.62/2.81 (assume @p335 (forall @t192 (=> @t498 (=> (or (and @t483 @t493) (and @t497 @t496)) @t492)))) % 2.62/2.81 (assume @p336 (forall @t192 (=> @t494 (=> (or (and @t483 @t496) (and @t497 @t493)) @t495)))) % 2.62/2.81 (assume @p337 (forall @t192 (=> @t511 (=> @t497 (=> @t496 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t333 @t119)))))) % 2.62/2.81 (assume @p338 (forall @t513 (=> @t511 (=> @t500 (=> @t508 @t512))))) % 2.62/2.81 (assume @p339 (forall @t336 (=> @t511 (=> @t483 (=> @t514 @t512))))) % 2.62/2.81 (assume @p340 (forall @t77 (=> @t511 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t71) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t70) (= @t387 @t122)))))) % 2.62/2.81 (assume @p341 (forall @t192 (=> @t511 (=> @t483 (=> @t493 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t333)))))) % 2.62/2.81 (assume @p342 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t250 @t119) @t487)))) % 2.62/2.81 (assume @p343 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t250) @t489)))) % 2.62/2.81 (assume @p344 (forall @t20 (=> @t464 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t13)))) % 2.62/2.81 (assume @p345 (forall @t20 (=> @t464 (not (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t119))))) % 2.62/2.81 (assume @p346 (forall @t136 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t411) @t487)))) % 2.62/2.81 (assume @p347 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t411) @t487)))) % 2.62/2.81 (assume @p348 (forall @t136 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t411 @t119) @t489)))) % 2.62/2.81 (assume @p349 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t411 @t132) @t489)))) % 2.62/2.81 (assume @p350 (forall @t224 (=> @t464 (=> @t473 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t216 @t222)))))) % 2.62/2.81 (assume @p351 (forall @t220 (=> @t464 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t216))))) % 2.62/2.81 (assume @p352 (forall @t220 (=> @t464 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t216))))) % 2.62/2.81 (assume @p353 (forall @t198 (=> @t146 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t94)))) % 2.62/2.81 (assume @p354 (forall @t516 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t354) @t515))) % 2.62/2.81 (assume @p355 (forall @t353 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t352 @t144) @t517))) % 2.62/2.81 (assume @p356 (forall @t292 (=> @t518 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t347)))) % 2.62/2.81 (assume @p357 (forall @t292 (=> @t518 (=> @t519 @t285)))) % 2.62/2.81 (assume @p358 (forall @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t152 @t521) @t521)) @t520))) % 2.62/2.81 (assume @p359 (forall @t292 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t49) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t347)))) % 2.62/2.81 (assume @p360 (forall @t353 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t352 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t7)))) % 2.62/2.81 (assume @p361 (forall @t516 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t354) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t70)))) % 2.62/2.81 (assume @p362 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t523) @t523))) % 2.62/2.81 (assume @p363 (forall @t77 (=> @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t207 @t119) @t122)))) % 2.62/2.81 (assume @p364 (forall @t116 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t524)))) % 2.62/2.81 (assume @p365 (forall @t116 (=> @t126 (=> @t527 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP @t213 @t49) @t49))))))) % 2.62/2.81 (assume @p366 (forall @t116 (=> @t126 (=> @t527 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t155 @t49))))))) % 2.62/2.81 (assume @p367 (forall @t164 (=> @t146 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t163 @t144) @t121)))) % 2.62/2.81 (assume @p368 (forall @t116 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t156 @t153)))) % 2.62/2.81 (assume @p369 (forall @t116 (=> @t146 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t528 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t94 @t151))))) % 2.62/2.81 (assume @p370 (forall @t101 (=> @t102 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t96)))) % 2.62/2.81 (assume @p371 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t346 @t144) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 @t345)))) % 2.62/2.81 (assume @p372 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t346) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t345 @t70)))) % 2.62/2.81 (assume @p373 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 @t529))) % 2.62/2.81 (assume @p374 (forall @t27 (=> @t76 (not (tptp.c_Int_Oiszero @t12 @t31))))) % 2.62/2.81 (assume @p375 (forall @t20 (=> @t23 (tptp.c_Int_Oiszero @t12 @t33)))) % 2.62/2.81 (assume @p376 (forall (@list @t78 @t12) (=> @t76 (= (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 @t530)) (tptp.c_Int_Oiszero @t12 @t79))))) % 2.62/2.81 (assume @p377 (forall @t531 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t24) (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 @t24 @t45)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t45))))) % 2.62/2.81 (assume @p378 (forall @t536 (=> (tptp.class_Rings_Olinordered__semiring__1 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t32) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t50 @t32) (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t532 @t32))))))))) % 2.62/2.81 (assume @p379 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t529))) % 2.62/2.81 (assume @p380 (forall @t20 (=> @t23 (not (tptp.c_Int_Oiszero @t12 @t30))))) % 2.62/2.81 (assume @p381 (forall @t77 (=> @t23 (= @t75 (tptp.c_Int_Oiszero @t12 (tptp.c_Int_Onumber__class_Onumber__of @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t451))))))) % 2.62/2.81 (assume @p382 (forall @t116 (=> @t464 (=> (= @t113 @t112) (=> @t527 (=> @t526 @t537)))))) % 2.62/2.81 (assume @p383 (forall @t116 (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t113 @t112) (=> @t526 @t538))))) % 2.62/2.81 (assume @p384 (forall @t34 (=> @t126 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t277)))) % 2.62/2.81 (assume @p385 (forall @t434 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.hAPP (tptp.hAPP @t95 @t273) @t93)))) % 2.62/2.81 (assume @p386 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 @t539)) % 2.62/2.81 (assume @p387 (forall @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t521) @t16)) @t139))) % 2.62/2.81 (assume @p388 (forall @t77 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t125 @t119) @t122)))) % 2.62/2.81 (assume @p389 (forall @t116 (=> @t126 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t114)))) % 2.62/2.81 (assume @p390 (forall (@list @t41 @t32 @t12) (=> @t126 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP @t215 (tptp.hAPP @t259 @t41)) @t119) @t232)))) % 2.62/2.81 (assume @p391 (forall @t220 (=> @t126 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t261)))) % 2.62/2.81 (assume @p392 (forall @t541 (=> (= @t137 @t49) (=> @t540 (= @t347 @t50))))) % 2.62/2.81 (assume @p393 (forall @t292 (=> @t518 (= @t542 @t49)))) % 2.62/2.81 (assume @p394 (forall @t353 (= (= (tptp.hAPP (tptp.hAPP @t95 @t352) @t16) @t71) @t543))) % 2.62/2.81 (assume @p395 (forall (@list @t103 @t104 @t106 @t32) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t107) @t16) (tptp.hAPP (tptp.hAPP @t95 @t105) @t16))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t32) @t16) (tptp.hAPP (tptp.hAPP @t95 @t104) @t16))) (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t95 @t106) @t16) (tptp.hAPP (tptp.hAPP @t95 @t103) @t16))))))) % 2.62/2.81 (assume @p396 (forall @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t50 @t141))) % 2.62/2.81 (assume @p397 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 @t141))) % 2.62/2.81 (assume @p398 (forall (@list @t50 @t49 @t106 @t12) (=> @t146 (=> @t545 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t94 (tptp.hAPP @t544 @t151)) (= @t49 @t119)))))) % 2.62/2.81 (assume @p399 (forall @t198 (=> @t546 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t49)))) % 2.62/2.81 (assume @p400 (forall @t549 (= (tptp.c_Complex_Ocomplex_Ocomplex__rec @t12 @t547 @t267) @t548))) % 2.62/2.81 (assume @p401 (forall @t549 (= (tptp.c_Complex_Ocomplex_Ocomplex__case @t12 @t547 @t267) @t548))) % 2.62/2.81 (assume @p402 (forall @t118 (=> @t236 (= (tptp.hAPP @t234 @t550) @t131)))) % 2.62/2.81 (assume @p403 (forall @t353 (= @t555 (exists @t553 (= @t71 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t552 @t42)))))) % 2.62/2.81 (assume @p404 (forall @t434 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t169 @t93))) % 2.62/2.81 (assume @p405 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t559 @t558) @t556))) % 2.62/2.81 (assume @p406 (forall @t395 (=> @t562 @t560))) % 2.62/2.81 (assume @p407 (forall @t395 (=> @t564 (=> (not @t560) (= @t225 @t563))))) % 2.62/2.81 (assume @p408 (forall @t395 (=> @t560 (=> @t566 @t565)))) % 2.62/2.81 (assume @p409 (forall @t459 (=> @t567 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t41) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457 @t41))))) % 2.62/2.81 (assume @p410 (forall @t395 (=> @t560 @t564))) % 2.62/2.81 (assume @p411 (forall @t395 (=> @t565 @t560))) % 2.62/2.81 (assume @p412 (forall @t570 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t569 @t568) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170 @t414)))) % 2.62/2.81 (assume @p413 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t569) (or @t556 (= @t414 @t569))))) % 2.62/2.81 (assume @p414 (forall @t395 (or @t560 @t566))) % 2.62/2.81 (assume @p415 (forall @t438 (= (not @t556) @t571))) % 2.62/2.81 (assume @p416 (forall @t434 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t93))) % 2.62/2.81 (assume @p417 (forall @t434 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t563 @t93)))) % 2.62/2.81 (assume @p418 (forall @t48 (=> @t573 (=> @t572 @t454)))) % 2.62/2.81 (assume @p419 (forall @t459 (=> @t574 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t458 @t41) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t457 @t41))))) % 2.62/2.81 (assume @p420 (forall @t48 (or @t573 @t572))) % 2.62/2.81 (assume @p421 (forall @t148 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t24))) % 2.62/2.81 (assume @p422 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t35) (exists (@list @t575) (= @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t575)))))) % 2.62/2.81 (assume @p423 (forall (@list @t93 @t457) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t457) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t578)))) % 2.62/2.81 (assume @p424 (forall @t434 (not (= @t93 @t563)))) % 2.62/2.81 (assume @p425 (forall @t434 (not (= @t563 @t93)))) % 2.62/2.81 (assume @p426 (forall (@list @t580 @t581) (= (= (tptp.c_Nat_OSuc @t581) (tptp.c_Nat_OSuc @t580)) (= @t581 @t580)))) % 2.62/2.81 (assume @p427 (forall @t142 (=> (= (tptp.c_Nat_OSuc @t49) (tptp.c_Nat_OSuc @t50)) @t537))) % 2.62/2.81 (assume @p428 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t440) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t414) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t170))))) % 2.62/2.81 (assume @p429 (forall @t587 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t586 @t585) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t582 @t584)) @t583)))) % 2.62/2.81 (assume @p430 (forall @t435 (not (= @t561 @t169)))) % 2.62/2.81 (assume @p431 (forall @t435 (not (= @t169 @t561)))) % 2.62/2.81 (assume @p432 (forall (@list @t588) (not (= (tptp.c_Nat_OSuc @t588) @t169)))) % 2.62/2.81 (assume @p433 (forall (@list @t589) (not (= @t169 (tptp.c_Nat_OSuc @t589))))) % 2.62/2.81 (assume @p434 (forall (@list @t414 @t71) (= (= (tptp.hAPP @t590 @t414) @t579) (or @t436 (= @t71 @t579))))) % 2.62/2.81 (assume @p435 (forall @t434 (= (tptp.hAPP (tptp.hAPP @t576 @t579) @t93) @t579))) % 2.62/2.81 (assume @p436 (forall @t395 (= @t592 @t591))) % 2.62/2.81 (assume @p437 (forall @t395 (= @t592 @t593))) % 2.62/2.81 (assume @p438 (forall @t395 (= @t591 @t593))) % 2.62/2.81 (assume @p439 (forall @t594 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170 @t169) @t171))) % 2.62/2.81 (assume @p440 (forall @t418 (= (= @t559 @t558) @t415))) % 2.62/2.81 (assume @p441 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t83 @t82) @t595))) % 2.62/2.81 (assume @p442 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t600 @t599) @t598))) % 2.62/2.81 (assume @p443 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 2.62/2.81 (assume @p444 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 @t36) @t595))) % 2.62/2.81 (assume @p445 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t603 @t602) @t598))) % 2.62/2.81 (assume @p446 (forall @t606 (=> @t605 (not (=> @t560 (not @t604)))))) % 2.62/2.81 (assume @p447 (forall @t606 (=> @t605 @t560))) % 2.62/2.81 (assume @p448 (forall @t606 (=> @t605 @t604))) % 2.62/2.81 (assume @p449 (forall @t610 (=> @t567 (=> @t609 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t608 @t607))))) % 2.62/2.81 (assume @p450 (forall @t459 (=> @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t608 @t611)))) % 2.62/2.81 (assume @p451 (forall @t613 (=> @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457 @t612)))) % 2.62/2.81 (assume @p452 (forall @t613 (=> @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457 @t614)))) % 2.62/2.81 (assume @p453 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t417 @t416) @t556))) % 2.62/2.81 (assume @p454 (forall @t438 (= @t556 (exists @t617 (= @t170 @t616))))) % 2.62/2.81 (assume @p455 (forall @t618 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t412))) % 2.62/2.81 (assume @p456 (forall @t618 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t227))) % 2.62/2.81 (assume @p457 (forall @t610 (=> @t567 (=> @t609 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t621 (tptp.hAPP @t619 @t61)))))) % 2.62/2.81 (assume @p458 (forall @t459 (=> @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t623 @t622)))) % 2.62/2.81 (assume @p459 (forall @t459 (=> @t567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t621 @t624)))) % 2.62/2.81 (assume @p460 (forall @t435 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 (tptp.hAPP @t230 @t625)))) % 2.62/2.81 (assume @p461 (forall @t435 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t625))) % 2.62/2.81 (assume @p462 (forall @t459 (=> @t574 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t457) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t458))))) % 2.62/2.81 (assume @p463 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t627 @t626) @t595))) % 2.62/2.81 (assume @p464 (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t143)) % 2.62/2.81 (assume @p465 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t42))) % 2.62/2.81 (assume @p466 (forall @t142 (=> @t633 (=> @t631 @t629)))) % 2.62/2.81 (assume @p467 (forall @t142 (=> @t633 (=> @t630 @t634)))) % 2.62/2.81 (assume @p468 (forall @t142 (=> @t632 (=> @t631 @t634)))) % 2.62/2.81 (assume @p469 (forall @t142 (=> @t632 (=> @t630 @t629)))) % 2.62/2.81 (assume @p470 (forall @t288 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t70)) (or (and @t554 @t635) (and @t555 (not @t635)))))) % 2.62/2.81 (assume @p471 (forall @t288 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t157 @t71) @t70)) (or @t554 @t635)))) % 2.62/2.81 (assume @p472 (forall @t142 (=> @t632 @t637))) % 2.62/2.81 (assume @p473 (forall @t541 (=> @t630 @t637))) % 2.62/2.81 (assume @p474 (forall @t142 (=> @t633 (=> @t631 (not @t637))))) % 2.62/2.81 (assume @p475 (forall @t353 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t71)) @t554))) % 2.62/2.81 (assume @p476 (forall @t639 (=> @t633 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint @t638))))) % 2.62/2.81 (assume @p477 (forall @t118 (=> @t241 (= (tptp.hAPP @t237 @t563) @t119)))) % 2.62/2.81 (assume @p478 (forall @t220 (=> @t178 (= @t640 @t217)))) % 2.62/2.81 (assume @p479 (forall @t220 (=> @t117 (= @t640 @t219)))) % 2.62/2.81 (assume @p480 (forall @t643 (=> @t290 (= @t642 @t641)))) % 2.62/2.81 (assume @p481 (forall @t643 (=> @t290 (= @t641 @t642)))) % 2.62/2.81 (assume @p482 (forall @t643 (=> @t290 (= (tptp.hAPP @t381 @t49) @t642)))) % 2.62/2.81 (assume @p483 (forall @t438 (= (= @t579 @t437) @t646))) % 2.62/2.81 (assume @p484 (forall @t438 (= (= @t437 @t579) @t646))) % 2.62/2.81 (assume @p485 (forall @t438 (= (= @t440 @t579) (and @t645 @t644)))) % 2.62/2.81 (assume @p486 (= @t68 @t579)) % 2.62/2.81 (assume @p487 (forall @t395 (= (tptp.hAPP @t230 @t563) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t231)))) % 2.62/2.81 (assume @p488 (forall @t395 (= (tptp.hAPP (tptp.hAPP @t229 @t561) @t93) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t231)))) % 2.62/2.81 (assume @p489 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t83) @t647))) % 2.62/2.81 (assume @p490 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 @t82) @t595))) % 2.62/2.81 (assume @p491 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t603 @t599) @t598))) % 2.62/2.81 (assume @p492 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t39) @t647))) % 2.62/2.81 (assume @p493 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 tptp.c_Int_OPls)))) % 2.62/2.81 (assume @p494 (forall @t434 (= @t563 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t68 @t93)))) % 2.62/2.81 (assume @p495 (forall @t434 (= @t563 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t68)))) % 2.62/2.81 (assume @p496 (forall @t648 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t159 @t71) @t170)) (and @t554 @t172)))) % 2.62/2.81 (assume @p497 (forall @t650 (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t640 @t649) (=> @t493 @t473))))) % 2.62/2.81 (assume @p498 (forall @t650 (=> @t464 (=> (= @t640 @t649) (=> @t483 (=> @t493 @t386)))))) % 2.62/2.81 (assume @p499 (forall @t77 (=> @t431 (= (= (tptp.hAPP @t124 @t651) (tptp.hAPP @t123 @t651)) (or @t72 (= @t71 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t70))))))) % 2.62/2.81 (assume @p500 (forall @t652 (= (= @t169 @t586) @t583))) % 2.62/2.81 (assume @p501 (forall @t652 (= (= @t586 @t169) @t583))) % 2.62/2.81 (assume @p502 (forall @t116 (=> @t654 (=> (not @t538) @t653)))) % 2.62/2.81 (assume @p503 (forall (@list @t71 @t1 @t2 @t12 @t127) (=> @t657 (=> @t656 (tptp.c_Orderings_Oord__class_Oless__eq @t127 (tptp.hAPP @t2 @t71) (tptp.hAPP @t1 @t71)))))) % 2.62/2.81 (assume @p504 (forall @t660 (=> @t659 (=> @t653 (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t45 @t49)))))) % 2.62/2.81 (assume @p505 (forall @t661 (=> @t659 (=> @t653 (=> @t538 @t537))))) % 2.62/2.81 (assume @p506 (forall @t378 (=> @t546 (=> @t538 (=> @t662 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t45)))))) % 2.62/2.81 (assume @p507 (forall @t116 (=> @t659 (=> @t538 (=> @t653 @t537))))) % 2.62/2.81 (assume @p508 (forall @t410 (=> @t659 (=> @t508 (=> @t408 @t663))))) % 2.62/2.81 (assume @p509 (forall @t336 (=> @t665 (=> @t473 (=> @t408 @t664))))) % 2.62/2.81 (assume @p510 (forall @t336 (=> @t659 (=> @t386 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t106 @t104) @t663))))) % 2.62/2.81 (assume @p511 (forall @t336 (=> @t665 (=> @t386 (=> @t514 @t664))))) % 2.62/2.81 (assume @p512 (forall @t669 (=> @t659 (=> @t668 @t667)))) % 2.62/2.81 (assume @p513 (forall @t116 (=> @t546 (=> @t537 @t538)))) % 2.62/2.81 (assume @p514 (forall @t77 (=> @t659 (= @t72 (and @t666 @t668))))) % 2.62/2.81 (assume @p515 (forall @t116 (=> @t654 (or @t538 @t653)))) % 2.62/2.81 (assume @p516 (forall @t670 (=> @t657 (= @t656 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t127 @t5 @t4)))))) % 2.62/2.81 (assume @p517 (forall (@list @t93 @t384 @t12) (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t384) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t384 @t13) (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP (tptp.hAPP @t17 @t384) @t563) @t384)))))) % 2.62/2.81 (assume @p518 (= @t69 @t579)) % 2.62/2.81 (assume @p519 (= @t271 (tptp.c_Nat_OSuc @t651))) % 2.62/2.81 (assume @p520 (forall @t434 (= (tptp.c_Nat_OSuc @t671) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t93)))) % 2.62/2.81 (assume @p521 (= @t651 @t16)) % 2.62/2.81 (assume @p522 (= @t16 @t651)) % 2.62/2.81 (assume @p523 (forall @t434 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t16) @t671))) % 2.62/2.81 (assume @p524 (forall @t434 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t93) @t671))) % 2.62/2.81 (assume @p525 (forall @t353 (= @t554 (exists @t553 (= @t71 @t552))))) % 2.62/2.81 (assume @p526 (forall @t220 (=> @t117 (= @t672 (tptp.hAPP @t186 @t281))))) % 2.62/2.81 (assume @p527 (forall @t101 (=> @t290 (= (tptp.hAPP @t97 @t550) (tptp.hAPP @t154 @t289))))) % 2.62/2.81 (assume @p528 (forall @t220 (=> @t126 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t672) @t483)))) % 2.62/2.81 (assume @p529 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t551)) % 2.62/2.81 (assume @p530 (forall @t434 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t93)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t93))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t93))))))) % 2.62/2.81 (assume @p531 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t270))) % 2.62/2.81 (assume @p532 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t252)) % 2.62/2.81 (assume @p533 (forall @t639 (=> @t673 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t638)))) % 2.62/2.81 (assume @p534 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t143)) % 2.62/2.81 (assume @p535 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t42)) % 2.62/2.81 (assume @p536 (forall @t142 (=> @t673 (=> @t674 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t628))))) % 2.62/2.81 (assume @p537 (forall @t142 (=> @t673 (=> @t674 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t636))))) % 2.62/2.81 (assume @p538 (forall @t220 (=> @t126 (=> @t675 (tptp.c_Orderings_Oord__class_Oless @t12 @t672 @t119))))) % 2.62/2.81 (assume @p539 (forall @t118 (=> @t23 (= (tptp.hAPP @t677 @t550) @t676)))) % 2.62/2.81 (assume @p540 (forall @t118 (=> @t23 (= (tptp.hAPP @t677 @t260) @t13)))) % 2.62/2.81 (assume @p541 (forall @t20 (=> @t178 (= @t17 (tptp.c_Power_Opower_Opower @t12 @t13 @t109))))) % 2.62/2.81 (assume @p542 (forall @t434 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t169)))) % 2.62/2.81 (assume @p543 (forall @t395 (=> @t679 @t678))) % 2.62/2.81 (assume @p544 (forall @t434 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t563))) % 2.62/2.81 (assume @p545 (forall @t434 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t563))) % 2.62/2.81 (assume @p546 (forall @t395 (=> (or @t679 @t565) @t560))) % 2.62/2.81 (assume @p547 (forall @t395 (=> @t560 (=> @t680 @t679)))) % 2.62/2.81 (assume @p548 (forall @t395 (=> @t679 @t560))) % 2.62/2.81 (assume @p549 (forall @t438 (= @t556 @t682))) % 2.62/2.81 (assume @p550 (forall @t438 (= @t681 (and @t556 @t683)))) % 2.62/2.81 (assume @p551 (forall @t77 (=> @t654 (= @t685 @t668)))) % 2.62/2.81 (assume @p552 (forall @t77 (=> @t654 (= (not @t666) @t686)))) % 2.62/2.81 (assume @p553 (forall @t116 (=> @t654 (or @t538 @t687)))) % 2.62/2.81 (assume @p554 (forall @t670 (=> @t657 (= (tptp.c_Orderings_Oord__class_Oless @t655 @t2 @t1) (and @t656 (not (tptp.c_Orderings_Oord__class_Oless__eq @t655 @t1 @t2))))))) % 2.62/2.81 (assume @p555 (forall @t77 (=> @t659 (= @t684 (and @t666 @t688))))) % 2.62/2.81 (assume @p556 (forall @t77 (=> @t546 (= @t684 (and @t666 (not @t668)))))) % 2.62/2.81 (assume @p557 (forall @t77 (=> @t659 (= @t666 (or @t684 @t72))))) % 2.62/2.81 (assume @p558 (forall @t116 (=> @t654 (=> @t690 @t653)))) % 2.62/2.81 (assume @p559 (forall @t661 (=> @t654 (=> (not @t653) @t689)))) % 2.62/2.81 (assume @p560 (forall @t77 (=> @t654 (=> @t685 @t667)))) % 2.62/2.81 (assume @p561 (forall @t192 (=> @t659 (=> @t692 (=> @t473 @t691))))) % 2.62/2.81 (assume @p562 (forall @t192 (=> @t659 (=> @t692 (=> @t508 @t693))))) % 2.62/2.81 (assume @p563 (forall @t661 (=> @t654 (=> @t653 @t690)))) % 2.62/2.81 (assume @p564 (forall @t116 (=> @t546 (=> @t689 @t538)))) % 2.62/2.81 (assume @p565 (forall @t77 (=> @t654 (=> @t666 @t694)))) % 2.62/2.81 (assume @p566 (forall @t116 (=> @t659 (=> @t538 (or @t689 @t537))))) % 2.62/2.81 (assume @p567 (forall @t192 (=> @t659 (=> @t473 (=> @t692 @t691))))) % 2.62/2.81 (assume @p568 (forall @t695 (=> @t659 (=> @t508 (=> @t692 @t693))))) % 2.62/2.81 (assume @p569 (forall @t378 (=> @t546 (=> @t689 (=> @t662 @t696))))) % 2.62/2.81 (assume @p570 (forall @t660 (=> @t659 (=> @t687 (=> @t658 @t697))))) % 2.62/2.81 (assume @p571 (forall @t378 (=> @t546 (=> @t538 @t698)))) % 2.62/2.81 (assume @p572 (forall @t660 (=> @t659 (=> @t653 @t699)))) % 2.62/2.81 (assume @p573 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 tptp.c_Int_OMin) @t700))) % 2.62/2.81 (assume @p574 (forall (@list @t78 @t363) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t363 @t78) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t363 @t78) (not (= @t363 @t78)))))) % 2.62/2.81 (assume @p575 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t39) @t701))) % 2.62/2.81 (assume @p576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin)) % 2.62/2.81 (assume @p577 (forall @t706 (=> @t464 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t704 @t703) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t70)))))) % 2.62/2.81 (assume @p578 (forall @t228 (=> @t464 (=> @t707 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t226 @t216) @t679))))) % 2.62/2.81 (assume @p579 (forall @t465 (=> @t464 (=> @t708 (=> @t707 (tptp.c_Orderings_Oord__class_Oless @t12 @t216 @t461)))))) % 2.62/2.81 (assume @p580 (forall @t288 (= @t709 (and @t482 @t688)))) % 2.62/2.81 (assume @p581 (forall @t288 (= @t482 (or @t709 @t72)))) % 2.62/2.81 (assume @p582 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t352 @t354) @t709))) % 2.62/2.81 (assume @p583 (forall @t142 (=> @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t347 @t349)))) % 2.62/2.81 (assume @p584 (forall @t164 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t74 @t119) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 tptp.c_Int_OPls))))) % 2.62/2.81 (assume @p585 (forall @t452 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t73) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t70))))) % 2.62/2.81 (assume @p586 (forall @t465 (=> @t464 (=> @t708 (=> @t712 (=> @t711 (tptp.c_Orderings_Oord__class_Oless @t12 @t461 @t216))))))) % 2.62/2.81 (assume @p587 (forall @t220 (=> @t464 (=> @t707 (=> @t713 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t216)))))) % 2.62/2.81 (assume @p588 (forall @t652 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t586) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t582)))) % 2.62/2.81 (assume @p589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t143)) % 2.62/2.81 (assume @p590 (forall @t77 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t74 @t73) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 @t70))))) % 2.62/2.81 (assume @p591 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t83) @t701))) % 2.62/2.81 (assume @p592 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 tptp.c_Int_OMin) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 tptp.c_Int_OMin)))) % 2.62/2.81 (assume @p593 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OPls)) % 2.62/2.81 (assume @p594 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OMin))) % 2.62/2.81 (assume @p595 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t39) @t701))) % 2.62/2.81 (assume @p596 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin))) % 2.62/2.81 (assume @p597 (forall @t116 (=> @t126 @t715))) % 2.62/2.81 (assume @p598 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t627 @t626) @t716))) % 2.62/2.81 (assume @p599 (forall @t459 (=> @t717 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t457 @t41) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t458 @t41))))) % 2.62/2.81 (assume @p600 (forall (@list @t458 @t457) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t718 @t457)))) % 2.62/2.81 (assume @p601 (forall (@list @t457 @t458) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t458 @t457) @t457)))) % 2.62/2.81 (assume @p602 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t417 @t416) @t681))) % 2.62/2.81 (assume @p603 (forall @t613 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 @t614)))) % 2.62/2.81 (assume @p604 (forall @t613 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 @t612)))) % 2.62/2.81 (assume @p605 (forall @t459 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t608 @t611)))) % 2.62/2.81 (assume @p606 (forall @t610 (=> @t719 (=> @t720 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t608 @t607))))) % 2.62/2.81 (assume @p607 (forall (@list @t93 @t225 @t61 @t41) (=> @t720 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t61) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t41 @t93)) @t679)))) % 2.62/2.81 (assume @p608 (forall @t459 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t718 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 @t41)))) % 2.62/2.81 (assume @p609 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t603 @t602) @t721))) % 2.62/2.81 (assume @p610 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t36) @t716))) % 2.62/2.81 (assume @p611 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 2.62/2.81 (assume @p612 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t600 @t599) @t721))) % 2.62/2.81 (assume @p613 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t82) @t716))) % 2.62/2.81 (assume @p614 (forall @t594 (= @t172 @t722))) % 2.62/2.81 (assume @p615 (forall @t395 (=> @t679 @t240))) % 2.62/2.81 (assume @p616 (forall @t434 (=> @t240 @t713))) % 2.62/2.81 (assume @p617 (forall @t360 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t400 @t411) @t723)))) % 2.62/2.81 (assume @p618 (forall @t402 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t411 @t180) (tptp.c_Orderings_Oord__class_Oless @t12 @t400 @t132))))) % 2.62/2.81 (assume @p619 (forall @t402 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t400) (tptp.c_Orderings_Oord__class_Oless @t12 @t180 @t411))))) % 2.62/2.81 (assume @p620 (forall @t44 (not (= @t64 tptp.c_Int_OMin)))) % 2.62/2.81 (assume @p621 (forall @t89 (not (= tptp.c_Int_OMin @t63)))) % 2.62/2.81 (assume @p622 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 2.62/2.81 (assume @p623 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 2.62/2.81 (assume @p624 (forall @t40 (= (= @t83 tptp.c_Int_OMin) (= @t38 tptp.c_Int_OMin)))) % 2.62/2.81 (assume @p625 (forall @t37 (= (= tptp.c_Int_OMin @t82) (= tptp.c_Int_OMin @t35)))) % 2.62/2.81 (assume @p626 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 2.62/2.81 (assume @p627 (forall @t469 (=> @t468 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t404 @t467) @t723)))) % 2.62/2.81 (assume @p628 (forall @t471 (=> @t468 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t407 @t470) @t723)))) % 2.62/2.81 (assume @p629 (forall @t336 (=> @t725 (=> @t691 @t724)))) % 2.62/2.81 (assume @p630 (forall @t336 (=> @t725 (=> @t691 @t726)))) % 2.62/2.81 (assume @p631 (forall @t334 (=> @t725 (=> @t691 @t729)))) % 2.62/2.81 (assume @p632 (forall @t478 (=> @t468 (=> @t724 @t691)))) % 2.62/2.81 (assume @p633 (forall @t479 (=> @t468 (=> @t726 @t691)))) % 2.62/2.81 (assume @p634 (forall @t587 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t586 @t585) (and (=> @t730 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t584)) @t730)))) % 2.62/2.81 (assume @p635 (forall @t395 (=> @t678 @t679))) % 2.62/2.81 (assume @p636 (forall @t395 (=> @t731 @t679))) % 2.62/2.81 (assume @p637 (forall @t395 (=> @t732 (=> (not @t679) @t565)))) % 2.62/2.81 (assume @p638 (forall @t459 (=> @t719 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t458 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t457) @t41))))) % 2.62/2.81 (assume @p639 (forall @t395 (=> @t679 (=> (not (= @t561 @t93)) @t731)))) % 2.62/2.81 (assume @p640 (forall @t395 (=> @t679 @t732))) % 2.62/2.81 (assume @p641 (forall @t618 (=> (not @t733) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t561) @t565)))) % 2.62/2.81 (assume @p642 (forall @t570 (=> (not @t736) @t735))) % 2.62/2.81 (assume @p643 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t568 @t569) @t681))) % 2.62/2.81 (assume @p644 (forall @t438 (= @t737 @t682))) % 2.62/2.81 (assume @p645 (forall @t438 (= (not @t681) @t734))) % 2.62/2.81 (assume @p646 (forall @t198 (=> @t546 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t49))))) % 2.62/2.81 (assume @p647 (forall @t77 (=> @t654 (= @t688 (or @t684 @t686))))) % 2.62/2.81 (assume @p648 (forall @t77 (=> @t654 (= @t685 (or @t686 @t72))))) % 2.62/2.81 (assume @p649 (forall @t116 (=> @t654 (or @t689 @t537 @t687)))) % 2.62/2.81 (assume @p650 (forall @t669 (=> @t654 (=> (not @t686) @t694)))) % 2.62/2.81 (assume @p651 (forall @t116 (=> @t654 @t715))) % 2.62/2.81 (assume @p652 (forall @t116 (=> @t659 (=> @t689 @t714)))) % 2.62/2.81 (assume @p653 (forall @t116 (=> @t546 (=> @t689 (not @t687))))) % 2.62/2.81 (assume @p654 (forall @t116 (=> @t659 (=> @t689 (not (= @t50 @t49)))))) % 2.62/2.81 (assume @p655 (forall @t192 (=> @t546 (=> @t691 (not @t693))))) % 2.62/2.81 (assume @p656 (forall @t695 (=> @t659 (=> @t693 (not @t691))))) % 2.62/2.81 (assume @p657 (forall @t336 (=> @t665 (=> @t386 (=> @t739 @t738))))) % 2.62/2.81 (assume @p658 (forall @t336 (=> @t659 (=> @t386 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t106 @t104) @t740))))) % 2.62/2.81 (assume @p659 (forall @t336 (=> @t665 (=> @t691 (=> @t408 @t738))))) % 2.62/2.81 (assume @p660 (forall @t410 (=> @t659 (=> @t693 (=> @t408 @t740))))) % 2.62/2.81 (assume @p661 (forall @t378 (=> @t546 (=> @t689 @t698)))) % 2.62/2.81 (assume @p662 (forall @t660 (=> @t659 (=> @t687 @t699)))) % 2.62/2.81 (assume @p663 (forall @t116 (=> @t654 (=> @t690 (=> @t714 @t687))))) % 2.62/2.81 (assume @p664 (forall @t224 (=> @t464 (=> @t691 (=> @t483 (=> @t713 @t741)))))) % 2.62/2.81 (assume @p665 (forall @t452 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t73) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t14 @t70))))) % 2.62/2.81 (assume @p666 (forall @t164 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t74 @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 @t14))))) % 2.62/2.81 (assume @p667 (forall @t410 (=> @t208 (=> @t693 (=> @t743 @t742))))) % 2.62/2.81 (assume @p668 (forall @t410 (=> @t208 (=> @t693 (=> @t743 @t744))))) % 2.62/2.81 (assume @p669 (forall @t336 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t12) @t746))) % 2.62/2.81 (assume @p670 (forall @t336 (=> @t747 @t746))) % 2.62/2.81 (assume @p671 (forall @t336 (=> @t747 (=> @t691 (=> @t745 @t744))))) % 2.62/2.81 (assume @p672 (forall @t192 (=> @t208 (=> @t675 (=> @t749 @t748))))) % 2.62/2.81 (assume @p673 (forall @t192 (=> @t747 (=> @t675 (=> @t751 @t750))))) % 2.62/2.81 (assume @p674 (forall @t471 (=> @t208 (=> @t757 (= @t756 @t752))))) % 2.62/2.81 (assume @p675 (forall @t695 (=> @t747 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t313) @t758)))) % 2.62/2.81 (assume @p676 (forall @t192 (=> @t747 (=> @t748 @t758)))) % 2.62/2.81 (assume @p677 (forall @t192 (=> @t747 (=> @t712 (=> @t749 (tptp.c_Orderings_Oord__class_Oless @t12 @t313 @t119)))))) % 2.62/2.81 (assume @p678 (forall @t192 (=> @t747 (=> @t712 (=> @t749 @t750))))) % 2.62/2.81 (assume @p679 (forall @t192 (=> @t747 (=> @t712 (=> @t751 @t748))))) % 2.62/2.81 (assume @p680 (forall @t471 (=> @t208 (=> @t759 (= @t756 @t723))))) % 2.62/2.81 (assume @p681 (forall @t471 (=> @t208 (= @t756 @t760)))) % 2.62/2.81 (assume @p682 (forall @t469 (=> @t208 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t376 @t373) @t760)))) % 2.62/2.81 (assume @p683 (forall @t34 (=> @t485 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t269 @t119))))) % 2.62/2.81 (assume @p684 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t250) @t761)))) % 2.62/2.81 (assume @p685 (forall @t136 (=> @t251 @t763))) % 2.62/2.81 (assume @p686 (forall @t192 (=> @t511 (=> @t712 @t765)))) % 2.62/2.81 (assume @p687 (forall @t336 (=> @t464 (=> @t712 @t767)))) % 2.62/2.81 (assume @p688 (forall @t192 (=> @t511 (=> @t675 @t769)))) % 2.62/2.81 (assume @p689 (forall @t136 (=> @t126 @t763))) % 2.62/2.81 (assume @p690 (forall @t334 (=> @t725 (=> @t691 (=> @t477 @t727))))) % 2.62/2.81 (assume @p691 (forall @t334 (=> @t725 (=> @t473 @t729)))) % 2.62/2.81 (assume @p692 (forall (@list @t78 @t582 @t12) (=> (and @t80 @t654) (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t770 @t79) (not (tptp.c_Orderings_Oord__class_Oless @t12 @t79 @t770)))))) % 2.62/2.81 (assume @p693 (forall @t20 (=> @t464 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t119))))) % 2.62/2.81 (assume @p694 (forall @t20 (=> @t464 (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t13)))) % 2.62/2.81 (assume @p695 (forall @t136 (=> @t251 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t411 @t132) @t761)))) % 2.62/2.81 (assume @p696 (forall @t136 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t411 @t119) @t761)))) % 2.62/2.81 (assume @p697 (forall @t136 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t411) @t762)))) % 2.62/2.81 (assume @p698 (forall @t136 (=> @t480 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t411) @t762)))) % 2.62/2.81 (assume @p699 (forall (@list @t93 @t225 @t12) (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t225) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t93) (tptp.c_Orderings_Oord__class_Oless @t12 @t13 (tptp.hAPP (tptp.hAPP @t109 @t225) @t93))))))) % 2.62/2.81 (assume @p700 (forall @t220 (=> @t464 (=> @t712 (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t216))))) % 2.62/2.81 (assume @p701 (forall @t34 (=> @t464 (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t389)))) % 2.62/2.81 (assume @p702 (forall (@list @t170 @t414 @t132 @t12) (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t132) (= (= (tptp.hAPP @t133 @t414) @t174) @t415))))) % 2.62/2.81 (assume @p703 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t83 tptp.c_Int_OMin) @t700))) % 2.62/2.81 (assume @p704 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t83) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t38)))) % 2.62/2.81 (assume @p705 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OMin))) % 2.62/2.81 (assume @p706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OPls)) % 2.62/2.81 (assume @p707 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t39 tptp.c_Int_OMin) @t700))) % 2.62/2.81 (assume @p708 (not (= @t252 @t771))) % 2.62/2.81 (assume @p709 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t78) @t143) @t772))) % 2.62/2.81 (assume @p710 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 tptp.c_Int_OPls) @t774))) % 2.62/2.81 (assume @p711 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t143))) % 2.62/2.81 (assume @p712 (forall @t292 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t49 @t651) (or (= @t49 @t169) (= @t49 @t579))))) % 2.62/2.81 (assume @p713 (forall @t594 (= @t722 (exists (@list @t775) (= @t170 (tptp.c_Nat_OSuc @t775)))))) % 2.62/2.81 (assume @p714 (forall @t594 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t579) @t171))) % 2.62/2.81 (assume @p715 (forall @t438 (= @t737 (or @t436 (exists (@list @t776) (and (= @t414 (tptp.c_Nat_OSuc @t776)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t776 @t170))))))) % 2.62/2.81 (assume @p716 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t36) @t716))) % 2.62/2.81 (assume @p717 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t600 @t602) @t721))) % 2.62/2.81 (assume @p718 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t530 @t143) @t772))) % 2.62/2.81 (assume @p719 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t39) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t38)))) % 2.62/2.81 (assume @p720 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 tptp.c_Int_OPls) @t774))) % 2.62/2.81 (assume @p721 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t437) (or @t777 @t722)))) % 2.62/2.81 (assume @p722 (forall @t778 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t457 @t225))))) % 2.62/2.81 (assume @p723 (forall @t778 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t457))))) % 2.62/2.81 (assume @p724 (forall @t438 (= @t681 (exists @t617 (= @t170 (tptp.c_Nat_OSuc @t616)))))) % 2.62/2.81 (assume @p725 (forall @t395 (=> @t562 @t679))) % 2.62/2.81 (assume @p726 (forall @t438 (=> @t556 @t735))) % 2.62/2.81 (assume @p727 (forall @t395 (=> @t679 @t562))) % 2.62/2.81 (assume @p728 (forall @t395 (=> @t560 @t732))) % 2.62/2.81 (assume @p729 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t568 @t170) @t681))) % 2.62/2.81 (assume @p730 (forall @t438 (= @t737 @t556))) % 2.62/2.81 (assume @p731 (forall @t570 (= @t736 @t571))) % 2.62/2.81 (assume @p732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t42)) % 2.62/2.81 (assume @p733 (forall @t438 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t440) (and @t777 @t722)))) % 2.62/2.81 (assume @p734 (forall @t418 (= @t781 @t780))) % 2.62/2.81 (assume @p735 (forall @t419 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t448 @t447) @t780))) % 2.62/2.81 (assume @p736 (forall @t459 (=> @t719 (=> @t782 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t621 @t624))))) % 2.62/2.81 (assume @p737 (forall @t459 (=> @t719 (=> @t782 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t623 @t622))))) % 2.62/2.81 (assume @p738 (= tptp.c_Int_OMin (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t42))) % 2.62/2.81 (assume @p739 (forall @t459 (=> @t717 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t244 @t457) (tptp.hAPP @t244 @t458)))))) % 2.62/2.81 (assume @p740 (forall @t353 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t344)) @t286))) % 2.62/2.81 (assume @p741 (forall @t786 (=> @t785 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t784 @t783) @t709)))) % 2.62/2.81 (assume @p742 (forall @t142 (=> @t787 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t50) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t351))))) % 2.62/2.81 (assume @p743 (forall (@list @t50 @t49 @t45) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t45) (=> @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t311 @t49) (tptp.hAPP @t311 @t50)))))) % 2.62/2.81 (assume @p744 (forall @t44 (= (tptp.hAPP (tptp.hAPP @t157 tptp.c_Int_OMin) @t41) @t243))) % 2.62/2.81 (assume @p745 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t559 @t558) @t681))) % 2.62/2.81 (assume @p746 (forall @t198 (=> @t146 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t94 @t144))))) % 2.62/2.81 (assume @p747 (forall (@list @t45 @t788 @t24 @t789) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t789 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t788 @t45) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t789 @t788) @t46))))) % 2.62/2.81 (assume @p748 (forall @t792 (= @t791 (or @t790 (= @t78 @t363))))) % 2.62/2.81 (assume @p749 (forall @t292 (=> @t787 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t347)))) % 2.62/2.81 (assume @p750 (forall @t292 (=> @t787 (not @t519)))) % 2.62/2.81 (assume @p751 (forall @t353 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t352 @t144) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t144)))) % 2.62/2.81 (assume @p752 (forall @t516 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t354) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t70)))) % 2.62/2.81 (assume @p753 (forall @t516 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t354) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t70)))) % 2.62/2.81 (assume @p754 (forall @t353 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t352 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t7)))) % 2.62/2.81 (assume @p755 (forall @t648 (= @t794 (or @t793 @t171)))) % 2.62/2.81 (assume @p756 (forall @t648 (= @t794 (or @t171 @t793)))) % 2.62/2.81 (assume @p757 (forall (@list @t93 @t225 @t457) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t457) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t577 @t225) @t578) @t679)))) % 2.62/2.81 (assume @p758 (forall @t20 (=> @t23 (not (tptp.c_Int_Oiszero @t12 @t676))))) % 2.62/2.81 (assume @p759 (forall @t479 (=> @t747 (=> @t505 @t795)))) % 2.62/2.81 (assume @p760 (forall @t478 (=> @t747 (=> @t499 @t795)))) % 2.62/2.81 (assume @p761 (forall @t479 (=> @t747 @t797))) % 2.62/2.81 (assume @p762 (forall @t479 (=> @t798 @t797))) % 2.62/2.81 (assume @p763 (forall @t478 (=> @t747 @t799))) % 2.62/2.81 (assume @p764 (forall @t478 (=> @t798 @t799))) % 2.62/2.81 (assume @p765 (forall @t334 (=> @t747 (=> @t473 (=> @t728 (=> @t712 @t801)))))) % 2.62/2.81 (assume @p766 (forall @t334 (=> @t747 (=> @t691 (=> @t477 (=> @t483 (=> @t745 @t800))))))) % 2.62/2.81 (assume @p767 (forall @t334 (=> @t747 (=> @t691 (=> @t728 (=> @t483 @t801)))))) % 2.62/2.81 (assume @p768 (forall @t334 (=> @t747 (=> @t691 (=> @t728 (=> @t751 @t801)))))) % 2.62/2.81 (assume @p769 (forall @t471 (=> @t208 (=> @t757 (= @t802 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t180 @t132)))))) % 2.62/2.81 (assume @p770 (forall @t471 (=> @t208 (=> @t759 (= @t802 @t466))))) % 2.62/2.81 (assume @p771 (forall @t192 (=> @t511 (=> @t712 (=> @t493 @t764))))) % 2.62/2.81 (assume @p772 (forall @t192 (=> @t511 (=> @t483 @t765)))) % 2.62/2.81 (assume @p773 (forall @t336 (=> @t511 (=> @t712 (=> @t514 @t766))))) % 2.62/2.81 (assume @p774 (forall @t336 (=> @t511 (=> @t483 @t767)))) % 2.62/2.81 (assume @p775 (forall @t192 (=> @t511 (=> @t675 (=> @t496 @t768))))) % 2.62/2.81 (assume @p776 (forall @t192 (=> @t511 (=> @t497 @t769)))) % 2.62/2.81 (assume @p777 (forall @t116 (=> @t485 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t524 @t119))))) % 2.62/2.81 (assume @p778 (forall @t77 (=> @t208 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t207) @t805)))) % 2.62/2.81 (assume @p779 (forall @t280 (=> @t23 (= (tptp.hAPP @t279 @t676) @t806)))) % 2.62/2.81 (assume @p780 (forall @t280 (=> @t23 (= (tptp.hAPP (tptp.hAPP @t109 @t676) @t45) @t806)))) % 2.62/2.81 (assume @p781 (forall @t650 (=> @t464 (=> @t741 (=> @t493 @t691))))) % 2.62/2.81 (assume @p782 (forall @t20 (=> @t464 (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t22)))) % 2.62/2.81 (assume @p783 (forall @t20 (=> @t23 (= @t131 @t676)))) % 2.62/2.81 (assume @p784 (forall @t20 (=> @t23 (= @t676 @t131)))) % 2.62/2.81 (assume @p785 (forall @t220 (=> @t464 (=> @t707 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t217))))) % 2.62/2.81 (assume @p786 (forall @t220 (=> @t464 (=> @t707 (tptp.c_Orderings_Oord__class_Oless @t12 @t216 @t217))))) % 2.62/2.81 (assume @p787 (forall @t220 (=> @t464 (=> @t707 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t640))))) % 2.62/2.81 (assume @p788 (forall (@list @t132 @t808 @t807 @t12) (= (tptp.hAPP @t809 @t169) @t807))) % 2.62/2.81 (assume @p789 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OMin) @t14)) % 2.62/2.81 (assume @p790 (forall (@list @t170 @t132 @t808 @t807 @t12) (= (tptp.hAPP @t809 @t569) (tptp.hAPP (tptp.hAPP @t808 @t132) (tptp.hAPP @t809 @t170))))) % 2.62/2.81 (assume @p791 (forall @t164 (=> @t146 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t163) @t804)))) % 2.62/2.81 (assume @p792 (forall @t438 (= @t811 (or @t810 (and (= @t414 @t771) (= @t170 @t771)))))) % 2.62/2.81 (assume @p793 (forall @t395 (=> (= (tptp.hAPP (tptp.hAPP @t157 @t225) @t93) @t42) (or (= @t225 @t42) (= @t225 @t771))))) % 2.62/2.81 (assume @p794 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t83) @t647))) % 2.62/2.81 (assume @p795 (forall @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t83 tptp.c_Int_OPls) @t774))) % 2.62/2.81 (assume @p796 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t82) @t595))) % 2.62/2.81 (assume @p797 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t603 @t599) @t598))) % 2.62/2.81 (assume @p798 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t83 @t36) @t716))) % 2.62/2.81 (assume @p799 (forall @t601 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t600 @t602) @t721))) % 2.62/2.81 (assume @p800 (forall @t618 (=> @t813 (=> @t812 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t231))))) % 2.62/2.81 (assume @p801 (forall @t618 (=> @t813 (=> @t812 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t421))))) % 2.62/2.81 (assume @p802 (forall @t618 (=> @t813 (=> @t812 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t231))))) % 2.62/2.81 (assume @p803 (forall @t786 (=> @t785 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t784 @t783) @t482)))) % 2.62/2.81 (assume @p804 (forall @t786 (=> @t785 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t814 @t71) (tptp.hAPP @t814 @t70)) @t482)))) % 2.62/2.81 (assume @p805 (forall @t819 (=> @t185 (=> @t818 (=> @t817 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t156 (tptp.hAPP @t816 @t815))))))) % 2.62/2.81 (assume @p806 (forall @t820 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t42 @t363) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t363)))) % 2.62/2.81 (assume @p807 (forall @t418 (= @t822 @t821))) % 2.62/2.81 (assume @p808 (forall @t419 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t448 @t447) @t821))) % 2.62/2.81 (assume @p809 (forall @t820 (= (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 @t42 @t363) @t363) @t143) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t363 @t143)))) % 2.62/2.81 (assume @p810 (forall @t438 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t414) (= @t811 @t810)))) % 2.62/2.81 (assume @p811 (forall @t819 (=> @t146 (=> @t818 (=> @t817 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t528 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t384 @t815))))))) % 2.62/2.81 (assume @p812 (forall @t531 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t45) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t42) @t45)))) % 2.62/2.81 (assume @p813 (forall @t792 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t78 @t42) @t363) @t790))) % 2.62/2.81 (assume @p814 (forall @t792 (= @t791 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t78 @t363)))) % 2.62/2.81 (assume @p815 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t346) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t345 @t70)))) % 2.62/2.81 (assume @p816 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t346 @t144) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t70 @t345)))) % 2.62/2.81 (assume @p817 (forall (@list @t78 @t71) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 (tptp.hAPP @t590 @t301)) (or @t302 @t793)))) % 2.62/2.81 (assume @p818 (forall @t220 (=> @t464 (=> @t712 (=> @t711 (tptp.c_Orderings_Oord__class_Oless @t12 @t217 @t216)))))) % 2.62/2.81 (assume @p819 (forall @t220 (=> @t464 (=> @t712 (=> @t711 (tptp.c_Orderings_Oord__class_Oless @t12 @t640 @t13)))))) % 2.62/2.81 (assume @p820 (forall @t228 (=> @t464 (=> @t707 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t226 @t216) @t560))))) % 2.62/2.81 (assume @p821 (forall @t706 (=> @t464 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t704 @t703) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t70)))))) % 2.62/2.81 (assume @p822 (forall @t650 (=> @t464 (=> (= @t216 @t222) (=> @t483 (=> @t493 (=> @t713 @t386))))))) % 2.62/2.81 (assume @p823 (forall @t830 (and (=> @t828 (= @t826 @t824)) (=> @t829 (and (=> @t827 (= @t826 @t825)) (=> (not @t827) (= @t826 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t823))))))))) % 2.62/2.81 (assume @p824 (forall @t92 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t45) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t253)))) % 2.62/2.81 (assume @p825 (forall @t536 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t32) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t50 @t32) (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless @t12 @t532 @t32))))))))) % 2.62/2.81 (assume @p826 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t169 @t16)) % 2.62/2.81 (assume @p827 (forall (@list @t41 @t823 @t28) (and (=> @t828 (= @t833 @t169)) (=> @t829 (= @t833 (tptp.hAPP (tptp.hAPP @t229 @t831) @t41)))))) % 2.62/2.81 (assume @p828 (forall @t830 (and (=> @t828 (= @t834 @t169)) (=> @t829 (= @t834 @t831))))) % 2.62/2.81 (assume @p829 (forall @t34 (=> @t126 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t277 @t119))))) % 2.62/2.81 (assume @p830 (forall @t136 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t134) (not @t173))))) % 2.62/2.81 (assume @p831 (forall @t434 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t16) (or @t239 (= @t93 @t579))))) % 2.62/2.81 (assume @p832 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t539)) % 2.62/2.81 (assume @p833 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t539)) % 2.62/2.81 (assume @p834 (forall @t116 (=> @t464 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t113 @t112) (=> @t526 @t689))))) % 2.62/2.81 (assume @p835 (forall @t116 (=> @t126 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t114 @t119))))) % 2.62/2.81 (assume @p836 (forall @t77 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t125) @t805)))) % 2.62/2.81 (assume @p837 (forall @t292 (=> @t673 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t551) (or (= @t49 @t143) (= @t49 @t42)))))) % 2.62/2.81 (assume @p838 (forall @t292 (=> @t787 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t144 @t542)))) % 2.62/2.81 (assume @p839 (forall @t838 (=> @t837 (=> @t836 (=> @t835 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t296 @t42)))))) % 2.62/2.81 (assume @p840 (forall @t838 (=> @t837 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t384 @t32) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t42 @t296)))))) % 2.62/2.81 (assume @p841 (forall @t851 (=> @t850 (=> @t847 (=> @t845 (=> @t844 (=> @t842 (=> @t841 @t840)))))))) % 2.62/2.81 (assume @p842 (forall @t854 (=> @t853 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t384 @t143) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t104 @t384) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t104 @t843) @t852)))))) % 2.62/2.81 (assume @p843 (forall @t142 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t50) @t537 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t50 @t49)))) % 2.62/2.81 (assume @p844 (forall @t434 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t93)))) % 2.62/2.81 (assume @p845 (forall @t438 (= @t683 (or @t681 @t736)))) % 2.62/2.81 (assume @p846 (forall @t142 (=> @t714 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t49 @t50)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t49))))) % 2.62/2.81 (assume @p847 (forall @t618 (=> @t733 @t680))) % 2.62/2.81 (assume @p848 (forall (@list @t855 @t815) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t815 @t855) (not (= @t815 @t855))))) % 2.62/2.81 (assume @p849 (forall (@list @t856 @t170 @t414) (=> (=> @t681 @t857) (=> (=> @t415 @t857) (=> (=> @t736 @t857) @t857))))) % 2.62/2.81 (assume @p850 (forall @t860 (=> @t859 (=> @t858 (=> @t842 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143 @t839)))))) % 2.62/2.81 (assume @p851 (forall @t860 (=> @t847 (=> @t844 (=> @t842 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t143)))))) % 2.62/2.81 (assume @p852 (forall @t854 (=> @t853 (=> @t844 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t843 @t104) (=> @t845 @t840)))))) % 2.62/2.81 (assume @p853 (forall @t851 (=> @t850 (=> @t859 (=> @t858 (=> @t835 (=> @t842 (=> @t841 @t852)))))))) % 2.62/2.81 (assume @p854 (forall @t418 (=> @t779 (= @t822 @t556)))) % 2.62/2.81 (assume @p855 (forall (@list @t50 @t49 @t521) (=> @t863 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t862) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t50 @t862) (=> @t518 (=> @t540 @t861))))))) % 2.62/2.81 (assume @p856 (forall @t471 (=> @t869 (=> @t868 (= @t866 @t864))))) % 2.62/2.81 (assume @p857 (forall @t872 (=> @t869 (=> @t868 (= @t871 @t870))))) % 2.62/2.81 (assume @p858 (forall @t513 (=> @t869 (=> @t874 (=> (= @t104 @t370) (= @t873 @t32)))))) % 2.62/2.81 (assume @p859 (forall @t479 (=> @t869 (=> @t874 (=> (= @t370 @t104) (= @t32 @t873)))))) % 2.62/2.81 (assume @p860 (forall @t360 (=> @t869 (=> (not @t426) (= (= @t875 @t13) @t304))))) % 2.62/2.81 (assume @p861 (forall @t34 (=> @t869 @t877))) % 2.62/2.81 (assume @p862 (forall @t34 (=> @t878 (and (=> @t232 (= @t876 @t119)) @t877)))) % 2.62/2.81 (assume @p863 (forall @t695 (=> @t869 (=> @t425 @t881)))) % 2.62/2.81 (assume @p864 (forall @t695 (=> @t869 (=> @t425 @t882)))) % 2.62/2.81 (assume @p865 (forall (@list @t93 @t32 @t104 @t12) (=> @t884 (=> @t425 @t883)))) % 2.62/2.81 (assume @p866 (forall @t220 (=> @t885 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t13 @t216) (tptp.hAPP (tptp.hAPP @t17 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t13 @t32)) @t93))))) % 2.62/2.81 (assume @p867 (forall @t288 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t144 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t71 @t70)) (and (or @t517 @t515) (or @t543 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 @t144)))))) % 2.62/2.81 (assume @p868 (forall @t892 (=> @t891 (= (= @t890 @t132) (and (=> @t889 (= @t180 @t888)) @t887))))) % 2.62/2.81 (assume @p869 (forall @t895 (=> @t891 (= (= @t865 @t79) (and (=> @t868 (= @t180 @t894)) @t893))))) % 2.62/2.81 (assume @p870 (forall @t896 (=> @t891 (= (= @t79 @t865) (and (=> @t868 (= @t894 @t180)) @t893))))) % 2.62/2.81 (assume @p871 (forall @t897 (=> @t891 (= (= @t132 @t890) (and (=> @t889 (= @t888 @t180)) @t887))))) % 2.62/2.81 (assume @p872 (forall @t224 (=> @t885 @t883))) % 2.62/2.81 (assume @p873 (forall @t142 (= (tptp.c_NthRoot_Osqrt (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t49 @t50)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t347 @t349)))) % 2.62/2.81 (assume @p874 (forall @t695 (=> @t899 (=> @t425 @t898)))) % 2.62/2.81 (assume @p875 (forall @t192 (=> (and @t885 @t899) @t898))) % 2.62/2.81 (assume @p876 (forall (@list @t32 @t384) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t816 @t32) (tptp.hAPP @t816 @t384)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t32 @t384)))) % 2.62/2.81 (assume @p877 (forall @t116 (=> @t899 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t184 @t50) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t900))))) % 2.62/2.81 (assume @p878 (forall @t192 (=> @t869 (= @t880 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t189 @t104))))) % 2.62/2.81 (assume @p879 (forall @t34 (=> @t869 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t13) @t32)))) % 2.62/2.81 (assume @p880 (forall @t214 (=> @t899 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t115 @t212) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t212) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t50 @t212)))))) % 2.62/2.81 (assume @p881 (forall @t336 (=> @t869 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t333 @t106) (tptp.c_Groups_Oplus__class_Oplus @t12 @t901 @t873))))) % 2.62/2.81 (assume @p882 (forall @t336 (=> @t869 (= (tptp.hAPP @t186 @t873) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t187 @t106))))) % 2.62/2.81 (assume @p883 (forall @t201 (=> @t899 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t119 @t50) @t119)))) % 2.62/2.81 (assume @p884 (forall @t34 (=> @t878 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t119) @t119)))) % 2.62/2.81 (assume @p885 (forall @t34 (=> @t869 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t119 @t32) @t119)))) % 2.62/2.81 (assume @p886 (forall @t198 (=> @t902 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t33) @t119)))) % 2.62/2.81 (assume @p887 (forall @t34 (=> @t903 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t32 @t30) @t32)))) % 2.62/2.81 (assume @p888 (forall @t198 (=> @t903 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t30) @t49)))) % 2.62/2.81 (assume @p889 (forall @t198 (=> @t902 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t49 @t676) @t184)))) % 2.62/2.81 (assume @p890 (forall @t892 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t890 @t132) (and (=> @t907 @t909) (=> @t908 (and (=> @t904 @t906) (=> @t905 @t761)))))))) % 2.62/2.81 (assume @p891 (forall @t895 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t865 @t79) (and (=> @t759 @t915) (=> @t914 (and (=> @t757 @t913) (=> @t912 @t907)))))))) % 2.62/2.81 (assume @p892 (forall @t896 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t79 @t865) (and (=> @t759 @t913) (=> @t914 (and (=> @t757 @t915) (=> @t912 @t904)))))))) % 2.62/2.81 (assume @p893 (forall @t897 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t132 @t890) (and (=> @t907 @t906) (=> @t908 (and (=> @t904 @t909) (=> @t905 @t762)))))))) % 2.62/2.81 (assume @p894 (forall @t198 (=> @t902 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t676 @t49) (tptp.c_Groups_Ouminus__class_Ouminus @t12 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t13 @t49)))))) % 2.62/2.81 (assume @p895 (forall @t897 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t132 @t890) (and (=> @t907 @t917) (=> @t908 (and (=> @t904 @t916) (=> @t905 @t487)))))))) % 2.62/2.81 (assume @p896 (forall @t896 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t79 @t865) (and (=> @t759 @t919) (=> @t914 (and (=> @t757 @t918) (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t79 @t119))))))))) % 2.62/2.81 (assume @p897 (forall @t895 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t865 @t79) (and (=> @t759 @t918) (=> @t914 (and (=> @t757 @t919) (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t79))))))))) % 2.62/2.81 (assume @p898 (forall @t892 (=> @t911 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t890 @t132) (and (=> @t907 @t916) (=> @t908 (and (=> @t904 @t917) (=> @t905 @t489)))))))) % 2.62/2.81 (assume @p899 (forall (@list @t920 @t12) (=> @t921 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t920 @t21)) (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t920))))) % 2.62/2.81 (assume @p900 (forall (@list @t384 @t12) (=> @t921 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t384) (tptp.c_Orderings_Oord__class_Oless @t12 @t119 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t384 @t21)))))) % 2.62/2.81 (assume @p901 (forall @t142 (=> @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t922)))) % 2.62/2.81 (assume @p902 (forall @t142 (=> @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t50)))) % 2.62/2.81 (assume @p903 (forall @t20 (=> @t921 (tptp.c_Orderings_Oord__class_Oless @t12 @t119 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t13 @t21))))) % 2.62/2.81 (assume @p904 (forall @t418 (= @t446 (or @t441 @t415)))) % 2.62/2.81 (assume @p905 (forall (@list @t521) (=> @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t923 @t521)))) % 2.62/2.81 (assume @p906 (forall (@list @t41 @t458 @t521 @t457) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t620 @t521) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t619 @t521) @t41)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t229 @t718) @t521) @t41)))) % 2.62/2.81 (assume @p907 (forall @t418 (=> @t779 (= @t781 @t681)))) % 2.62/2.81 (assume @p908 (forall @t418 (=> @t779 (= @t446 @t415)))) % 2.62/2.81 (assume @p909 (forall @t292 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t924 @t924) @t49))) % 2.62/2.81 (assume @p910 (forall (@list @t363 @t70 @t71) (= (= @t71 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t70 (tptp.hAPP @t274 @t363))) (= (tptp.hAPP @t274 @t71) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t70 @t363))))) % 2.62/2.81 (assume @p911 (forall @t336 (=> @t910 (=> @t473 (=> @t507 @t927))))) % 2.62/2.81 (assume @p912 (forall @t410 (=> @t928 (=> @t508 (=> @t500 @t927))))) % 2.62/2.81 (assume @p913 (forall (@list @t24 @t45 @t50 @t49 @t12) (=> @t885 (= (tptp.hAPP (tptp.hAPP @t109 @t900) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t45 @t24)) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t377 (tptp.hAPP @t213 @t24)))))) % 2.62/2.81 (assume @p914 (forall @t192 (=> @t885 @t881))) % 2.62/2.81 (assume @p915 (forall @t192 (=> @t885 @t882))) % 2.62/2.81 (assume @p916 (forall @t336 (=> @t910 (=> @t473 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t873 @t901)))))) % 2.62/2.81 (assume @p917 (forall @t336 (=> @t910 (=> @t473 (=> @t500 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t901 @t873)))))) % 2.62/2.81 (assume @p918 (forall @t402 (=> @t910 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t875 @t119) @t491)))) % 2.62/2.81 (assume @p919 (forall @t402 (=> @t910 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t119 @t875) @t490)))) % 2.62/2.81 (assume @p920 (forall @t410 (=> @t928 (=> @t693 (=> @t743 @t929))))) % 2.62/2.81 (assume @p921 (forall @t336 (=> @t928 (=> @t691 (=> @t745 @t929))))) % 2.62/2.81 (assume @p922 (forall @t116 (=> @t928 (=> @t932 (=> @t931 @t930))))) % 2.62/2.81 (assume @p923 (forall @t116 (=> @t928 (=> @t932 (=> @t934 @t933))))) % 2.62/2.81 (assume @p924 (forall @t116 (=> @t928 (=> @t935 (=> @t931 @t933))))) % 2.62/2.81 (assume @p925 (forall @t116 (=> @t928 (=> @t935 (=> @t934 @t930))))) % 2.62/2.81 (assume @p926 (forall @t402 (=> @t910 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t875 @t119) (or (and @t761 @t937) (and @t762 @t936)))))) % 2.62/2.81 (assume @p927 (forall @t402 (=> @t910 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t119 @t875) (or (and @t761 @t936) (and @t762 @t937)))))) % 2.62/2.81 (assume @p928 (forall @t406 (=> @t885 (= @t866 (and (=> @t868 @t864) @t938))))) % 2.62/2.81 (assume @p929 (forall @t939 (=> @t885 (= @t871 (and (=> @t868 @t870) @t938))))) % 2.62/2.81 (assume @p930 (forall @t479 (=> @t885 (=> @t874 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t370 @t369) @t879))))) % 2.62/2.81 (assume @p931 (forall @t479 (=> @t885 (=> @t874 (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t504 @t503) @t879))))) % 2.62/2.81 (assume @p932 (forall (@list @t78 @t71 @t363 @t70 @t12) (=> @t884 (=> @t803 (=> (not @t484) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t12 @t71 @t70) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t78 @t363)) (= @t365 @t366))))))) % 2.62/2.81 (assume @p933 (forall @t116 (=> @t928 (=> @t941 (=> @t931 @t940))))) % 2.62/2.81 (assume @p934 (forall @t116 (=> @t928 (=> @t941 (=> @t934 @t942))))) % 2.62/2.81 (assume @p935 (forall @t947 (=> @t928 (=> @t527 (=> @t538 (=> @t946 (=> @t945 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t944 @t943)))))))) % 2.62/2.81 (assume @p936 (forall @t947 (=> @t928 (=> @t527 (=> @t689 (=> @t946 (=> @t945 @t948))))))) % 2.62/2.81 (assume @p937 (forall @t947 (=> @t928 (=> @t935 (=> @t538 (=> @t946 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t24 @t45) @t948))))))) % 2.62/2.81 (assume @p938 (forall @t116 (=> @t928 (=> @t527 (=> @t931 @t942))))) % 2.62/2.81 (assume @p939 (forall @t116 (=> @t928 (=> @t527 (=> @t934 @t940))))) % 2.62/2.81 (assume @p940 (forall @t336 (=> @t928 (=> @t691 (=> @t743 @t949))))) % 2.62/2.81 (assume @p941 (forall @t410 (=> @t928 (=> @t693 (=> @t745 @t949))))) % 2.62/2.81 (assume @p942 (forall @t872 (=> @t928 (=> @t757 (= @t951 @t950))))) % 2.62/2.81 (assume @p943 (forall @t471 (=> @t928 (=> @t757 (= @t953 @t952))))) % 2.62/2.81 (assume @p944 (forall @t955 (=> @t928 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t954 @t49) (tptp.c_Orderings_Oord__class_Oless @t12 @t45 @t900)))))) % 2.62/2.81 (assume @p945 (forall @t660 (=> @t928 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t49 @t954) (tptp.c_Orderings_Oord__class_Oless @t12 @t900 @t45)))))) % 2.62/2.81 (assume @p946 (forall @t872 (=> @t928 (=> @t759 (= @t951 @t952))))) % 2.62/2.81 (assume @p947 (forall @t471 (=> @t928 (=> @t759 (= @t953 @t950))))) % 2.62/2.81 (assume @p948 (forall @t939 (=> @t910 (= @t951 (and (=> @t759 @t952) (=> @t914 (and (=> @t757 @t950) (=> @t912 @t761)))))))) % 2.62/2.81 (assume @p949 (forall @t406 (=> @t910 (= @t953 (and (=> @t759 @t950) (=> @t914 (and (=> @t757 @t952) (=> @t912 @t762)))))))) % 2.62/2.81 (assume @p950 (forall (@list @t24 @t49 @t45 @t50 @t12) (=> @t884 (=> @t957 (=> @t956 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t900 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t24 @t45)) (tptp.c_Rings_Oinverse__class_Odivide @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t377 (tptp.hAPP (tptp.hAPP @t109 @t24) @t50)) (tptp.hAPP @t213 @t45)))))))) % 2.62/2.81 (assume @p951 (forall @t959 (=> @t884 (=> @t956 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t944 @t50) (tptp.c_Rings_Oinverse__class_Odivide @t12 @t958 @t45)))))) % 2.62/2.81 (assume @p952 (forall @t660 (=> @t885 (=> @t957 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t900 @t45) @t960))))) % 2.62/2.81 (assume @p953 (forall @t959 (=> @t884 (=> @t956 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t49 (tptp.c_Rings_Oinverse__class_Odivide @t12 @t50 @t45)) (tptp.c_Rings_Oinverse__class_Odivide @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t279 @t49) @t50) @t45)))))) % 2.62/2.81 (assume @p954 (forall @t955 (=> @t885 (=> @t957 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t45 @t900) @t960))))) % 2.62/2.81 (assume @p955 (forall @t192 (=> @t928 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t12 @t32 @t961))))) % 2.62/2.81 (assume @p956 (forall @t192 (=> @t928 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t12 @t961 @t104))))) % 2.62/2.81 (assume @p957 (forall @t406 (=> @t910 (= @t964 (and (=> @t759 @t963) (=> @t914 (and (=> @t757 @t962) (=> @t912 @t487)))))))) % 2.62/2.81 (assume @p958 (forall @t939 (=> @t910 (= @t965 (and (=> @t759 @t962) (=> @t914 (and (=> @t757 @t963) (=> @t912 @t489)))))))) % 2.62/2.81 (assume @p959 (forall @t471 (=> @t928 (=> @t759 (= @t964 @t963))))) % 2.62/2.81 (assume @p960 (forall @t872 (=> @t928 (=> @t759 (= @t965 @t962))))) % 2.62/2.81 (assume @p961 (forall @t660 (=> @t928 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t49 @t954) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t900 @t45)))))) % 2.62/2.81 (assume @p962 (forall @t955 (=> @t928 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t954 @t49) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t45 @t900)))))) % 2.62/2.81 (assume @p963 (forall @t471 (=> @t928 (=> @t757 (= @t964 @t962))))) % 2.62/2.81 (assume @p964 (forall @t872 (=> @t928 (=> @t757 (= @t965 @t963))))) % 2.62/2.81 (assume @p965 (= (tptp.hAPP (tptp.hAPP @t91 tptp.c_Complex_Oii) @t16) @t966)) % 2.62/2.81 (assume @p966 (forall @t292 (= @t967 (tptp.hAPP @t274 (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t49 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t139))))))))) % 2.62/2.81 (assume @p967 (= (tptp.c_Transcendental_Oarctan @t144) @t144)) % 2.62/2.81 (assume @p968 (forall @t292 (= (tptp.c_Transcendental_Oarctan @t348) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t967)))) % 2.62/2.81 (assume @p969 (forall @t142 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t967 @t968)))) % 2.62/2.81 (assume @p970 (forall @t148 (not (= tptp.c_Complex_Oii (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t24))))) % 2.62/2.81 (assume @p971 (forall @t292 (= (tptp.hAPP @t970 (tptp.hAPP @t970 @t49)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t49)))) % 2.62/2.81 (assume @p972 (not (= tptp.c_Complex_Oii @t254))) % 2.62/2.81 (assume @p973 (not (= tptp.c_Complex_Oii @t145))) % 2.62/2.81 (assume @p974 (forall @t142 (=> @t710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t967 @t968)))) % 2.62/2.81 (assume @p975 (forall @t150 (= (tptp.hAPP @t970 @t108) @t971))) % 2.62/2.81 (assume @p976 (forall @t150 (= (tptp.hAPP (tptp.hAPP @t969 @t108) tptp.c_Complex_Oii) @t971))) % 2.62/2.81 (assume @p977 (= @t972 @t966)) % 2.62/2.81 (assume @p978 (= @t972 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t254))) % 2.62/2.81 (assume @p979 (forall @t288 (= (= (tptp.c_Complex_Ocomplex_OComplex @t71 @t70) tptp.c_Complex_Oii) (and @t286 (= @t70 @t7))))) % 2.62/2.81 (assume @p980 (= tptp.c_Complex_Oii (tptp.c_Complex_Ocomplex_OComplex @t144 @t7))) % 2.62/2.81 (assume @p981 (forall @t142 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t49 @t141)) @t7))) % 2.62/2.81 (assume @p982 (forall (@list @t50 @t521 @t49) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t974 @t923) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t973 @t923) @t861)))) % 2.62/2.81 (assume @p983 (forall (@list @t50 @t49 @t106) (=> @t545 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t974 (tptp.hAPP @t544 @t973)) @t285)))) % 2.62/2.81 (assume @p984 (forall @t27 (=> (and @t23 @t102) (= (tptp.c_RealVector_Onorm__class_Onorm @t12 @t25) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t24)))))) % 2.62/2.81 (assume @p985 (forall @t978 (=> (tptp.class_Orderings_Opreorder @t975) (tptp.class_Orderings_Opreorder @t977)))) % 2.62/2.81 (assume @p986 (forall @t978 (=> (tptp.class_Orderings_Oorder @t975) (tptp.class_Orderings_Oorder @t977)))) % 2.62/2.81 (assume @p987 (forall @t978 (=> (tptp.class_Orderings_Oord @t975) (tptp.class_Orderings_Oord @t977)))) % 2.62/2.81 (assume @p988 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p989 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p990 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p991 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p992 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p993 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p995 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p996 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p997 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p998 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p999 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1000 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1001 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1002 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1003 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1004 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1005 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1006 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1007 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1008 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1009 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1010 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1011 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1012 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1014 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1015 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1016 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1017 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1018 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1019 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1020 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1021 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1022 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1023 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1024 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1025 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1026 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1027 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1028 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1029 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1030 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1031 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1032 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1033 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1034 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1035 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1036 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1037 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1038 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1039 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1040 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1041 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 2.62/2.81 (assume @p1042 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1043 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1044 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1045 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1046 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1047 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1048 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1049 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1050 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1051 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1052 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1053 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1054 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1055 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1056 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1057 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1058 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1059 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1060 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1061 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1062 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1063 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1064 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1065 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1066 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1067 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1068 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1069 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1070 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1071 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1072 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1073 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1074 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1075 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1076 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1077 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 2.62/2.81 (assume @p1078 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 2.62/2.81 (assume @p1079 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 2.62/2.81 (assume @p1080 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 2.62/2.81 (assume @p1081 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1082 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1083 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1084 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1085 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1086 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1087 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1088 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1089 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1090 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1091 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1092 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1093 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1094 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1095 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1096 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1097 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1098 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1099 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1100 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1101 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1102 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1103 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1104 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1105 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1106 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1107 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1108 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1109 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1110 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1111 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1112 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1113 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1114 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1115 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1116 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1117 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1118 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1119 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1120 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1121 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1122 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1123 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1124 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1125 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1126 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1127 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1128 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1129 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1130 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1131 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1132 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1133 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1134 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1135 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1136 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1137 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1138 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1139 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1140 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1141 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1142 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1143 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1144 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1145 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 2.62/2.81 (assume @p1146 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1147 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1148 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1149 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1150 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1151 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1152 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1153 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1154 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1155 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1156 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1157 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1158 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1159 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1160 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1161 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1162 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1163 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1164 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1165 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1166 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1167 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1168 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1169 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1170 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1171 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1172 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1173 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1174 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1175 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1176 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1177 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1178 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1179 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1180 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1181 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1182 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1183 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1184 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1185 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (assume @p1186 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1187 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1188 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1189 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1190 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1191 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1192 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1193 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1194 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1195 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1196 (tptp.class_Rings_Olinordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1197 (tptp.class_Rings_Olinordered__semidom tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1198 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1199 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1200 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1201 (tptp.class_Rings_Oordered__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1202 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1203 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1204 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1205 (tptp.class_Rings_Ocomm__semiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1206 (tptp.class_Rings_Ozero__neq__one tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1207 (tptp.class_Orderings_Opreorder tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1208 (tptp.class_Orderings_Olinorder tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1209 (tptp.class_Groups_Omonoid__mult tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1210 (tptp.class_Groups_Omonoid__add tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1211 (tptp.class_Rings_Osemiring__1 tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1212 (tptp.class_Rings_Osemiring__0 tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1213 (tptp.class_Rings_Omult__zero tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1214 (tptp.class_Orderings_Oorder tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1215 (tptp.class_Rings_Osemiring tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1216 (tptp.class_Orderings_Oord tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1217 (tptp.class_Power_Opower tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1218 (tptp.class_Groups_Ozero tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1219 (tptp.class_Int_Onumber tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1220 (tptp.class_Groups_Oone tptp.tc_Code__Numeral_Ocode__numeral)) % 2.62/2.81 (assume @p1221 (not @t980)) % 2.62/2.81 (assume @p1222 true) % 2.62/2.81 (step @p1223 :rule symm :premises (@p204)) % 2.62/2.81 (step @p1224 :rule instantiate :premises (@p53) :args (@t981)) % 2.62/2.81 (step @p1225 :rule eq-symm :args (@t982 @t355)) % 2.62/2.81 (step @p1226 :rule refl :args (@t355)) % 2.62/2.81 (step @p1227 :rule eq-symm :args (@t71 @t70)) % 2.62/2.81 (step @p1228 :rule cong :premises (@p1227 @p1226) :args ((= @t72 @t355))) % 2.62/2.81 (step @p1229 :rule trans :premises (@p1228 @p1225)) % 2.62/2.81 (step @p1230 :rule eq-symm :args (@t355 @t72)) % 2.62/2.81 (step @p1231 :rule trans :premises (@p1230 @p1229)) % 2.62/2.81 (step @p1232 :rule cong :premises (@p1231) :args (@t356)) % 2.62/2.81 (step @p1233 :rule eq_resolve :premises (@p186 @p1232)) % 2.62/2.81 (step @p1234 :rule refl :args (@t984)) % 2.62/2.81 (step @p1235 :rule eq-symm :args (@t979 @t7)) % 2.62/2.81 (step @p1236 :rule cong :premises (@p1235 @p1234) :args ((= @t980 @t984))) % 2.62/2.81 (step @p1237 :rule eq-symm :args (@t984 @t980)) % 2.62/2.81 (step @p1238 :rule trans :premises (@p1237 @p1236)) % 2.62/2.81 (step @p1239 :rule refl :args (@t985)) % 2.62/2.81 (step @p1240 :rule cong :premises (@p1239 @p1238) :args ((=> @t985 @t986))) % 2.62/2.81 (assume-push @p1299 @t985) % 2.62/2.81 (step @p1242 :rule instantiate :premises (@p1233) :args ((@list @t979 @t7))) % 2.62/2.81 (step-pop @p1300 :rule scope :premises (@p1242)) % 2.62/2.81 (step @p1243 :rule process_scope :premises (@p1300) :args (@t986)) % 2.62/2.81 (step @p1245 :rule eq_resolve :premises (@p1243 @p1240)) % 2.62/2.81 (step @p1246 :rule implies_elim :premises (@p1245)) % 2.62/2.81 (step @p1247 :rule chain_m_resolution :premises (@p1246 @p1233) :args (@t988 (@list false) (@list @t985))) % 2.62/2.81 (step @p1248 :rule symm :premises (@p1221)) % 2.62/2.81 (step @p1249 :rule cnf_equiv_pos2 :args (@t988)) % 2.62/2.81 (step @p1250 :rule reordering :premises (@p1249) :args ((or @t987 @t989 (not @t988)))) % 2.62/2.81 (step @p1251 :rule chain_m_resolution :premises (@p1250 @p1248 @p1247) :args (@t989 (@list true false) (@list @t987 @t988))) % 2.62/2.81 (step @p1252 :rule bool-double-not-elim :args (@t984)) % 2.62/2.81 (step @p1253 :rule refl :args (@t991)) % 2.62/2.81 (step @p1254 :rule refl :args (@t993)) % 2.62/2.81 (step @p1255 :rule refl :args (@t994)) % 2.62/2.81 (step @p1256 :rule refl :args (@t995)) % 2.62/2.81 (step @p1257 :rule nary_cong :premises (@p1256 @p1255 @p1254 @p1253 @p1252) :args ((or @t995 @t994 @t993 @t991 (not @t989)))) % 2.62/2.81 (assume-push @p1301 @t989) % 2.62/2.81 (assume-push @p1302 @t992) % 2.62/2.81 (assume-push @p1303 @t9) % 2.62/2.81 (assume-push @p1304 @t996) % 2.62/2.81 (step @p1262 :rule evaluate :args ((= true false))) % 2.62/2.81 (step @p1263 :rule false_intro :premises (@p1251)) % 2.62/2.81 (step @p1264 :rule instantiate :premises (@p53) :args (@t981)) % 2.62/2.81 (step @p1265 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (step @p1266 :rule cong :premises (@p1265 @p3) :args (@t8)) % 2.62/2.81 (step @p1267 :rule symm :premises (@p2)) % 2.62/2.81 (step @p1268 :rule trans :premises (@p1267 @p1266 @p1264)) % 2.62/2.81 (step @p1269 :rule trans :premises (@p2 @p1223)) % 2.62/2.81 (step @p1270 :rule symm :premises (@p1269)) % 2.62/2.81 (step @p1271 :rule trans :premises (@p1270 @p2 @p1268)) % 2.62/2.81 (step @p1272 :rule true_intro :premises (@p1271)) % 2.62/2.81 (step @p1273 :rule symm :premises (@p1272)) % 2.62/2.81 (step @p1274 :rule trans :premises (@p1273 @p1263)) % 2.62/2.81 (step @p1275 false :rule eq_resolve :premises (@p1274 @p1262)) % 2.62/2.81 (step-pop @p1305 :rule scope :premises (@p1275)) % 2.62/2.81 (step-pop @p1306 :rule scope :premises (@p1305)) % 2.62/2.81 (step-pop @p1307 :rule scope :premises (@p1306)) % 2.62/2.81 (step-pop @p1308 :rule scope :premises (@p1307)) % 2.62/2.81 (step @p1276 :rule process_scope :premises (@p1308) :args (false)) % 2.62/2.81 (assume-push @p1309 @t9) % 2.62/2.81 (assume-push @p1310 @t11) % 2.62/2.81 (assume-push @p1311 @t992) % 2.62/2.81 (assume-push @p1312 @t990) % 2.62/2.81 (assume-push @p1313 @t989) % 2.62/2.81 (step @p1265 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 2.62/2.81 (step @p1266 :rule cong :premises (@p1265 @p3) :args (@t8)) % 2.62/2.81 (step @p1267 :rule symm :premises (@p2)) % 2.62/2.81 (step @p1286 :rule trans :premises (@p1267 @p1266 @p1224)) % 2.62/2.81 (step @p1287 :rule and_intro :premises (@p1251 @p1223 @p2 @p1286)) % 2.62/2.81 (step-pop @p1314 :rule scope :premises (@p1287)) % 2.62/2.81 (step-pop @p1315 :rule scope :premises (@p1314)) % 2.62/2.81 (step-pop @p1316 :rule scope :premises (@p1315)) % 2.62/2.81 (step-pop @p1317 :rule scope :premises (@p1316)) % 2.62/2.81 (step-pop @p1318 :rule scope :premises (@p1317)) % 2.62/2.81 (step @p1288 :rule process_scope :premises (@p1318) :args (@t997)) % 2.62/2.81 (step @p1294 :rule implies_elim :premises (@p1288)) % 2.62/2.81 (step @p1295 :rule resolution :premises (@p1294 @p1276) :args (true @t997)) % 2.62/2.81 (step @p1296 :rule not_and :premises (@p1295)) % 2.62/2.81 (step @p1297 :rule eq_resolve :premises (@p1296 @p1257)) % 2.62/2.81 (step @p1298 false :rule chain_m_resolution :premises (@p1297 @p1251 @p1224 @p1223 @p3 @p2) :args (false (@list true false false false false) (@list @t984 @t990 @t992 @t11 @t9))) % 2.62/2.82 ) % 2.62/2.82 % SZS output end Proof % 2.62/2.82 % cvc5 exiting %------------------------------------------------------------------------------