%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW194+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 : n017.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 1.13s 1.39s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW194+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 % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:36:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.45/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.39 % SZS status Theorem % 1.13/1.39 % SZS output start Proof % 1.13/1.39 ( % 1.13/1.39 (declare-sort $$unsorted 0) % 1.13/1.39 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Transcendental_Opi $$unsorted) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.13/1.39 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.v_x____ $$unsorted) % 1.13/1.39 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Int_OPls $$unsorted) % 1.13/1.39 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.13/1.39 (declare-const tptp.v_z $$unsorted) % 1.13/1.39 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.13/1.39 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_Int_OMin $$unsorted) % 1.13/1.39 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.13/1.39 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.13/1.39 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.v_y____ $$unsorted) % 1.13/1.39 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.13/1.39 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.13/1.39 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.39 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.13/1.39 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.13/1.39 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.13/1.39 (define @t3 () (@var "B_x" $$unsorted)) % 1.13/1.39 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.13/1.39 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.13/1.39 (define @t6 () (@list @t3)) % 1.13/1.39 (define @t7 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t8 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 1.13/1.39 (define @t9 () (tptp.c_Int_OBit0 @t8)) % 1.13/1.39 (define @t10 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t9)) % 1.13/1.39 (define @t11 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t12 () (tptp.hAPP @t11 @t10)) % 1.13/1.39 (define @t13 () (tptp.hAPP @t12 tptp.v_x____)) % 1.13/1.39 (define @t14 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t13)) % 1.13/1.39 (define @t15 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t14 @t7)) % 1.13/1.39 (define @t16 () (tptp.hAPP @t12 tptp.v_y____)) % 1.13/1.39 (define @t17 () (@var "V_n" $$unsorted)) % 1.13/1.39 (define @t18 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t19 () (@list @t17)) % 1.13/1.39 (define @t20 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t9)) % 1.13/1.39 (define @t21 () (@var "V_x" $$unsorted)) % 1.13/1.39 (define @t22 () (tptp.hAPP @t12 @t21)) % 1.13/1.39 (define @t23 () (tptp.hAPP @t18 @t21)) % 1.13/1.39 (define @t24 () (tptp.hAPP @t23 @t20)) % 1.13/1.39 (define @t25 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit0 @t9))) % 1.13/1.39 (define @t26 () (tptp.hAPP @t11 @t25)) % 1.13/1.39 (define @t27 () (@list @t21)) % 1.13/1.39 (define @t28 () (@var "V_w" $$unsorted)) % 1.13/1.39 (define @t29 () (@var "T_b" $$unsorted)) % 1.13/1.39 (define @t30 () (tptp.c_Int_Onumber__class_Onumber__of @t29 @t28)) % 1.13/1.39 (define @t31 () (tptp.c_Groups_Otimes__class_Otimes @t29)) % 1.13/1.39 (define @t32 () (tptp.class_Int_Onumber @t29)) % 1.13/1.39 (define @t33 () (@var "V_a" $$unsorted)) % 1.13/1.39 (define @t34 () (@var "T_a" $$unsorted)) % 1.13/1.39 (define @t35 () (tptp.c_Power_Opower__class_Opower @t34)) % 1.13/1.39 (define @t36 () (tptp.hAPP @t35 @t33)) % 1.13/1.39 (define @t37 () (tptp.hAPP @t36 @t20)) % 1.13/1.39 (define @t38 () (tptp.class_Rings_Olinordered__idom @t34)) % 1.13/1.39 (define @t39 () (@list @t33 @t34)) % 1.13/1.39 (define @t40 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t33)) % 1.13/1.39 (define @t41 () (tptp.hAPP @t35 @t40)) % 1.13/1.39 (define @t42 () (tptp.c_Groups_Oone__class_Oone @t34)) % 1.13/1.39 (define @t43 () (tptp.hAPP @t35 @t42)) % 1.13/1.39 (define @t44 () (tptp.class_Rings_Osemiring__1 @t34)) % 1.13/1.39 (define @t45 () (@list @t34)) % 1.13/1.39 (define @t46 () (tptp.hAPP @t35 @t21)) % 1.13/1.39 (define @t47 () (tptp.hAPP @t46 @t20)) % 1.13/1.39 (define @t48 () (tptp.c_Groups_Otimes__class_Otimes @t34)) % 1.13/1.39 (define @t49 () (tptp.hAPP @t48 @t21)) % 1.13/1.39 (define @t50 () (tptp.hAPP @t49 @t21)) % 1.13/1.39 (define @t51 () (tptp.class_Rings_Ocomm__semiring__1 @t34)) % 1.13/1.39 (define @t52 () (@list @t21 @t34)) % 1.13/1.39 (define @t53 () (tptp.hAPP @t48 @t33)) % 1.13/1.39 (define @t54 () (tptp.hAPP @t53 @t33)) % 1.13/1.39 (define @t55 () (tptp.class_Groups_Omonoid__mult @t34)) % 1.13/1.39 (define @t56 () (tptp.hAPP @t46 @t17)) % 1.13/1.39 (define @t57 () (tptp.hAPP (tptp.hAPP @t48 @t56) @t56)) % 1.13/1.39 (define @t58 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.13/1.39 (define @t59 () (tptp.hAPP @t58 @t20)) % 1.13/1.39 (define @t60 () (tptp.hAPP @t59 @t17)) % 1.13/1.39 (define @t61 () (@list @t17 @t21 @t34)) % 1.13/1.39 (define @t62 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal tptp.c_Int_OMin)) % 1.13/1.39 (define @t63 () (tptp.c_Int_OBit1 @t8)) % 1.13/1.39 (define @t64 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t63)) % 1.13/1.39 (define @t65 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OMin)) % 1.13/1.39 (define @t66 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.13/1.39 (define @t67 () (@var "V_q" $$unsorted)) % 1.13/1.39 (define @t68 () (@var "V_p" $$unsorted)) % 1.13/1.39 (define @t69 () (tptp.hAPP @t58 @t68)) % 1.13/1.39 (define @t70 () (tptp.hAPP @t46 @t68)) % 1.13/1.39 (define @t71 () (@list @t67 @t68 @t21 @t34)) % 1.13/1.39 (define @t72 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.13/1.39 (define @t73 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t8)) % 1.13/1.39 (define @t74 () (tptp.c_Int_Onumber__class_Onumber__of @t34 tptp.c_Int_OMin)) % 1.13/1.39 (define @t75 () (tptp.hAPP @t35 @t74)) % 1.13/1.39 (define @t76 () (tptp.class_Int_Onumber__ring @t34)) % 1.13/1.39 (define @t77 () (@list @t17 @t34)) % 1.13/1.39 (define @t78 () (@var "V_ry" $$unsorted)) % 1.13/1.39 (define @t79 () (@var "V_ly" $$unsorted)) % 1.13/1.39 (define @t80 () (tptp.hAPP @t48 @t79)) % 1.13/1.39 (define @t81 () (@var "V_rx" $$unsorted)) % 1.13/1.39 (define @t82 () (@var "V_lx" $$unsorted)) % 1.13/1.39 (define @t83 () (tptp.hAPP @t48 @t82)) % 1.13/1.39 (define @t84 () (tptp.hAPP @t48 (tptp.hAPP @t83 @t81))) % 1.13/1.39 (define @t85 () (tptp.hAPP @t48 @t81)) % 1.13/1.39 (define @t86 () (tptp.hAPP @t85 @t78)) % 1.13/1.39 (define @t87 () (tptp.hAPP @t48 (tptp.hAPP @t83 @t79))) % 1.13/1.39 (define @t88 () (tptp.hAPP @t87 @t86)) % 1.13/1.39 (define @t89 () (@list @t78 @t81 @t79 @t82 @t34)) % 1.13/1.39 (define @t90 () (tptp.hAPP @t87 @t81)) % 1.13/1.39 (define @t91 () (@list @t81 @t79 @t82 @t34)) % 1.13/1.39 (define @t92 () (tptp.hAPP @t83 @t86)) % 1.13/1.39 (define @t93 () (@list @t78 @t81 @t82 @t34)) % 1.13/1.39 (define @t94 () (@var "V_b" $$unsorted)) % 1.13/1.39 (define @t95 () (tptp.hAPP @t48 @t94)) % 1.13/1.39 (define @t96 () (tptp.hAPP @t95 @t33)) % 1.13/1.39 (define @t97 () (tptp.hAPP @t53 @t94)) % 1.13/1.39 (define @t98 () (@list @t94 @t33 @t34)) % 1.13/1.39 (define @t99 () (@var "V_z" $$unsorted)) % 1.13/1.39 (define @t100 () (= @t99 @t28)) % 1.13/1.39 (define @t101 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28 @t99)) % 1.13/1.39 (define @t102 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t28)) % 1.13/1.39 (define @t103 () (@list @t28 @t99)) % 1.13/1.39 (define @t104 () (@var "V_k" $$unsorted)) % 1.13/1.39 (define @t105 () (@var "V_i" $$unsorted)) % 1.13/1.39 (define @t106 () (@var "V_j" $$unsorted)) % 1.13/1.39 (define @t107 () (@list @t104 @t106 @t105)) % 1.13/1.39 (define @t108 () (@list @t28)) % 1.13/1.39 (define @t109 () (@var "V_z3" $$unsorted)) % 1.13/1.39 (define @t110 () (@var "V_z2" $$unsorted)) % 1.13/1.39 (define @t111 () (tptp.hAPP @t11 @t110)) % 1.13/1.39 (define @t112 () (@var "V_z1" $$unsorted)) % 1.13/1.39 (define @t113 () (tptp.hAPP @t11 @t112)) % 1.13/1.39 (define @t114 () (@list @t109 @t110 @t112)) % 1.13/1.39 (define @t115 () (tptp.hAPP @t11 @t99)) % 1.13/1.39 (define @t116 () (tptp.hAPP @t36 @t17)) % 1.13/1.39 (define @t117 () (tptp.hAPP (tptp.hAPP @t35 @t116) @t20)) % 1.13/1.39 (define @t118 () (tptp.hAPP @t36 @t60)) % 1.13/1.39 (define @t119 () (@list @t17 @t33 @t34)) % 1.13/1.39 (define @t120 () (= (tptp.hAPP @t53 @t42) @t33)) % 1.13/1.39 (define @t121 () (= (tptp.hAPP (tptp.hAPP @t48 @t42) @t33) @t33)) % 1.13/1.39 (define @t122 () (@var "V_y" $$unsorted)) % 1.13/1.39 (define @t123 () (tptp.hAPP @t35 @t122)) % 1.13/1.39 (define @t124 () (tptp.hAPP @t46 @t67)) % 1.13/1.39 (define @t125 () (tptp.hAPP @t48 @t124)) % 1.13/1.39 (define @t126 () (tptp.hAPP @t49 @t122)) % 1.13/1.39 (define @t127 () (@list @t99)) % 1.13/1.39 (define @t128 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t8)) % 1.13/1.39 (define @t129 () (and @t76 @t38)) % 1.13/1.39 (define @t130 () (@var "V_xa_2" $$unsorted)) % 1.13/1.39 (define @t131 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t130)) % 1.13/1.39 (define @t132 () (@list @t130 @t34)) % 1.13/1.39 (define @t133 () (@var "V_ya_2" $$unsorted)) % 1.13/1.39 (define @t134 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t133)) % 1.13/1.39 (define @t135 () (@list @t133 @t34)) % 1.13/1.39 (define @t136 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.13/1.39 (define @t137 () (@var "V_N" $$unsorted)) % 1.13/1.39 (define @t138 () (tptp.hAPP @t36 @t137)) % 1.13/1.39 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t42 @t33)) % 1.13/1.39 (define @t140 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t137)) % 1.13/1.39 (define @t141 () (tptp.class_Rings_Olinordered__semidom @t34)) % 1.13/1.39 (define @t142 () (@list @t33 @t137 @t17 @t34)) % 1.13/1.39 (define @t143 () (@list @t104)) % 1.13/1.39 (define @t144 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t28)) % 1.13/1.39 (define @t145 () (@var "V_v" $$unsorted)) % 1.13/1.39 (define @t146 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t145)) % 1.13/1.39 (define @t147 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t146 @t144)) % 1.13/1.39 (define @t148 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t145 @t28)) % 1.13/1.39 (define @t149 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t148)) % 1.13/1.39 (define @t150 () (@list @t28 @t145 @t34)) % 1.13/1.39 (define @t151 () (@var "V_c" $$unsorted)) % 1.13/1.39 (define @t152 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t151 @t33)) % 1.13/1.39 (define @t153 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t151)) % 1.13/1.39 (define @t154 () (@var "V_d" $$unsorted)) % 1.13/1.39 (define @t155 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t151 @t154)) % 1.13/1.39 (define @t156 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t155)) % 1.13/1.39 (define @t157 () (@list @t154 @t151 @t33 @t34)) % 1.13/1.39 (define @t158 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.13/1.39 (define @t159 () (tptp.hAPP (tptp.hAPP @t158 @t145) @t28)) % 1.13/1.39 (define @t160 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t28)) % 1.13/1.39 (define @t161 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t145)) % 1.13/1.39 (define @t162 () (@list @t28 @t145)) % 1.13/1.39 (define @t163 () (@var "V_l_2" $$unsorted)) % 1.13/1.39 (define @t164 () (@var "V_k_2" $$unsorted)) % 1.13/1.39 (define @t165 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 @t163)) % 1.13/1.39 (define @t166 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t163)) % 1.13/1.39 (define @t167 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t164)) % 1.13/1.39 (define @t168 () (@list @t163 @t164)) % 1.13/1.39 (define @t169 () (@list @t99 @t28 @t145 @t34)) % 1.13/1.39 (define @t170 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t94 @t151)) % 1.13/1.39 (define @t171 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t94)) % 1.13/1.39 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t171 @t151)) % 1.13/1.39 (define @t173 () (= @t172 (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t170))) % 1.13/1.39 (define @t174 () (@list @t151 @t94 @t33 @t34)) % 1.13/1.39 (define @t175 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t94 @t154)) % 1.13/1.39 (define @t176 () (@list @t154 @t151 @t94 @t33 @t34)) % 1.13/1.39 (define @t177 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t28 @t99)) % 1.13/1.39 (define @t178 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t99 @t28)) % 1.13/1.39 (define @t179 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t106)) % 1.13/1.39 (define @t180 () (tptp.c_Int_OBit1 @t163)) % 1.13/1.39 (define @t181 () (tptp.c_Int_OBit1 @t164)) % 1.13/1.39 (define @t182 () (@var "V_k2_2" $$unsorted)) % 1.13/1.39 (define @t183 () (@var "V_k1_2" $$unsorted)) % 1.13/1.39 (define @t184 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t182)) % 1.13/1.39 (define @t185 () (tptp.c_Int_OBit1 @t182)) % 1.13/1.39 (define @t186 () (tptp.c_Int_OBit1 @t183)) % 1.13/1.39 (define @t187 () (@list @t182 @t183)) % 1.13/1.39 (define @t188 () (tptp.c_Int_OBit0 @t163)) % 1.13/1.39 (define @t189 () (tptp.c_Int_OBit0 @t164)) % 1.13/1.39 (define @t190 () (tptp.c_Int_OBit0 @t182)) % 1.13/1.39 (define @t191 () (tptp.c_Int_OBit0 @t183)) % 1.13/1.39 (define @t192 () (@var "V_v_2" $$unsorted)) % 1.13/1.39 (define @t193 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t192 tptp.c_Int_OPls)) % 1.13/1.39 (define @t194 () (@var "V_v_H_2" $$unsorted)) % 1.13/1.39 (define @t195 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t194)) % 1.13/1.39 (define @t196 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t192)) % 1.13/1.39 (define @t197 () (@list @t194 @t192)) % 1.13/1.39 (define @t198 () (tptp.hAPP @t49 @t99)) % 1.13/1.39 (define @t199 () (@list @t99 @t122 @t21 @t34)) % 1.13/1.39 (define @t200 () (@var "V_c_2" $$unsorted)) % 1.13/1.39 (define @t201 () (@var "V_b_2" $$unsorted)) % 1.13/1.39 (define @t202 () (tptp.hAPP @t48 @t201)) % 1.13/1.39 (define @t203 () (tptp.hAPP @t202 @t200)) % 1.13/1.39 (define @t204 () (@var "V_d_2" $$unsorted)) % 1.13/1.39 (define @t205 () (@var "V_a_2" $$unsorted)) % 1.13/1.39 (define @t206 () (tptp.hAPP @t48 @t205)) % 1.13/1.39 (define @t207 () (tptp.hAPP @t206 @t200)) % 1.13/1.39 (define @t208 () (= @t200 @t204)) % 1.13/1.39 (define @t209 () (= @t205 @t201)) % 1.13/1.39 (define @t210 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t34)) % 1.13/1.39 (define @t211 () (@list @t204 @t200 @t201 @t205 @t34)) % 1.13/1.39 (define @t212 () (tptp.hAPP @t95 @t151)) % 1.13/1.39 (define @t213 () (tptp.hAPP @t53 @t151)) % 1.13/1.39 (define @t214 () (tptp.hAPP @t48 @t171)) % 1.13/1.39 (define @t215 () (= (tptp.hAPP @t214 @t151) (tptp.c_Groups_Oplus__class_Oplus @t34 @t213 @t212))) % 1.13/1.39 (define @t216 () (@var "V_m" $$unsorted)) % 1.13/1.39 (define @t217 () (tptp.hAPP @t53 @t216)) % 1.13/1.39 (define @t218 () (@var "V_za_2" $$unsorted)) % 1.13/1.39 (define @t219 () (@var "V_w_2" $$unsorted)) % 1.13/1.39 (define @t220 () (tptp.hAPP @t48 @t130)) % 1.13/1.39 (define @t221 () (tptp.hAPP @t48 @t219)) % 1.13/1.39 (define @t222 () (tptp.hAPP @t220 @t218)) % 1.13/1.39 (define @t223 () (tptp.hAPP @t221 @t133)) % 1.13/1.39 (define @t224 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t122)) % 1.13/1.39 (define @t225 () (@list @t99 @t122 @t21)) % 1.13/1.39 (define @t226 () (@list @t28 @t110 @t112)) % 1.13/1.39 (define @t227 () (tptp.c_Int_Onumber__class_Onumber__of @t29 @t145)) % 1.13/1.39 (define @t228 () (tptp.hAPP @t31 @t227)) % 1.13/1.39 (define @t229 () (tptp.hAPP @t228 @t151)) % 1.13/1.39 (define @t230 () (tptp.hAPP @t228 @t94)) % 1.13/1.39 (define @t231 () (and @t32 (tptp.class_Rings_Osemiring @t29))) % 1.13/1.39 (define @t232 () (@list @t151 @t94 @t145 @t29)) % 1.13/1.39 (define @t233 () (tptp.hAPP (tptp.hAPP @t31 @t94) @t227)) % 1.13/1.39 (define @t234 () (tptp.hAPP (tptp.hAPP @t31 @t33) @t227)) % 1.13/1.39 (define @t235 () (@list @t145 @t94 @t33 @t29)) % 1.13/1.39 (define @t236 () (tptp.c_Int_Onumber__class_Onumber__of @t34 tptp.c_Int_OPls)) % 1.13/1.39 (define @t237 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t164)) % 1.13/1.39 (define @t238 () (@list @t164)) % 1.13/1.39 (define @t239 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 tptp.c_Int_OMin)) % 1.13/1.39 (define @t240 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t42 @t144)) % 1.13/1.39 (define @t241 () (@list @t28 @t34)) % 1.13/1.39 (define @t242 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t42 @t42)) % 1.13/1.39 (define @t243 () (tptp.hAPP @t48 @t242)) % 1.13/1.39 (define @t244 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t42)) % 1.13/1.39 (define @t245 () (tptp.hAPP (tptp.hAPP @t48 @t244) @t216)) % 1.13/1.39 (define @t246 () (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Int_OBit0 @t28))) % 1.13/1.39 (define @t247 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t219)) % 1.13/1.39 (define @t248 () (tptp.class_Int_Onumber @t34)) % 1.13/1.39 (define @t249 () (= @t130 @t133)) % 1.13/1.39 (define @t250 () (@list @t133 @t130 @t34)) % 1.13/1.39 (define @t251 () (= @t164 @t163)) % 1.13/1.39 (define @t252 () (@var "V_l" $$unsorted)) % 1.13/1.39 (define @t253 () (tptp.c_Int_OBit0 (tptp.hAPP (tptp.hAPP @t158 @t104) @t252))) % 1.13/1.39 (define @t254 () (tptp.c_Int_OBit0 @t104)) % 1.13/1.39 (define @t255 () (@list @t252 @t104)) % 1.13/1.39 (define @t256 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.13/1.39 (define @t257 () (tptp.hAPP @t256 @t21)) % 1.13/1.39 (define @t258 () (tptp.hAPP @t257 @t122)) % 1.13/1.39 (define @t259 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t99 @t99)) % 1.13/1.39 (define @t260 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t9)) % 1.13/1.39 (define @t261 () (tptp.hAPP @t48 @t99)) % 1.13/1.39 (define @t262 () (@list @t99 @t34)) % 1.13/1.39 (define @t263 () (tptp.hAPP @t48 @t260)) % 1.13/1.39 (define @t264 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.13/1.39 (define @t265 () (tptp.hAPP (tptp.hAPP @t158 @t216) @t17)) % 1.13/1.39 (define @t266 () (@list @t17 @t216)) % 1.13/1.39 (define @t267 () (@var "V_n_2" $$unsorted)) % 1.13/1.39 (define @t268 () (@var "V_m_2" $$unsorted)) % 1.13/1.39 (define @t269 () (@list @t267 @t268)) % 1.13/1.39 (define @t270 () (tptp.hAPP @t48 @t146)) % 1.13/1.39 (define @t271 () (tptp.hAPP @t270 @t144)) % 1.13/1.39 (define @t272 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t159)) % 1.13/1.39 (define @t273 () (tptp.hAPP @t53 @t116)) % 1.13/1.39 (define @t274 () (tptp.hAPP @t48 @t116)) % 1.13/1.39 (define @t275 () (tptp.hAPP @t274 @t33)) % 1.13/1.39 (define @t276 () (tptp.hAPP @t35 @t94)) % 1.13/1.39 (define @t277 () (tptp.hAPP @t276 @t17)) % 1.13/1.39 (define @t278 () (tptp.class_Groups_Ocomm__monoid__mult @t34)) % 1.13/1.39 (define @t279 () (@list @t17 @t94 @t33 @t34)) % 1.13/1.39 (define @t280 () (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t263 @t21)) @t122)) % 1.13/1.39 (define @t281 () (tptp.hAPP @t123 @t20)) % 1.13/1.39 (define @t282 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t47 @t281)) % 1.13/1.39 (define @t283 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t21 @t122)) % 1.13/1.39 (define @t284 () (@list @t122 @t21 @t34)) % 1.13/1.39 (define @t285 () (tptp.c_Int_OBit1 @t252)) % 1.13/1.39 (define @t286 () (@list @t252)) % 1.13/1.39 (define @t287 () (tptp.c_Int_OBit1 @t104)) % 1.13/1.39 (define @t288 () (tptp.c_Int_OBit0 @t252)) % 1.13/1.39 (define @t289 () (@list @t163)) % 1.13/1.39 (define @t290 () (tptp.hAPP @t36 @t216)) % 1.13/1.39 (define @t291 () (tptp.hAPP @t58 @t216)) % 1.13/1.39 (define @t292 () (tptp.hAPP @t291 @t17)) % 1.13/1.39 (define @t293 () (@list @t17 @t216 @t33 @t34)) % 1.13/1.39 (define @t294 () (tptp.hAPP @t41 @t17)) % 1.13/1.39 (define @t295 () (tptp.hAPP (tptp.hAPP @t18 @t122) @t20)) % 1.13/1.39 (define @t296 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t24 @t295)) % 1.13/1.39 (define @t297 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t122)) % 1.13/1.39 (define @t298 () (@list @t122 @t21)) % 1.13/1.39 (define @t299 () (@var "B_y" $$unsorted)) % 1.13/1.39 (define @t300 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t94)) % 1.13/1.39 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t40 @t300)) % 1.13/1.39 (define @t302 () (tptp.class_Groups_Oordered__ab__group__add__abs @t34)) % 1.13/1.39 (define @t303 () (tptp.class_Orderings_Opreorder @t34)) % 1.13/1.39 (define @t304 () (tptp.c_Nat_OSuc @t60)) % 1.13/1.39 (define @t305 () (tptp.class_Power_Opower @t34)) % 1.13/1.39 (define @t306 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t21 @t122)) % 1.13/1.39 (define @t307 () (tptp.c_Groups_Ozero__class_Ozero @t34)) % 1.13/1.39 (define @t308 () (tptp.c_NthRoot_Osqrt @t296)) % 1.13/1.39 (define @t309 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t21)) % 1.13/1.39 (define @t310 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t122)) % 1.13/1.39 (define @t311 () (@list @t21 @t122)) % 1.13/1.39 (define @t312 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.39 (define @t313 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.13/1.39 (define @t314 () (tptp.hAPP @t158 @t99)) % 1.13/1.39 (define @t315 () (tptp.hAPP @t158 @t28)) % 1.13/1.39 (define @t316 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t72)) % 1.13/1.39 (define @t317 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t17)) % 1.13/1.39 (define @t318 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.13/1.39 (define @t319 () (= @t216 @t318)) % 1.13/1.39 (define @t320 () (not @t319)) % 1.13/1.39 (define @t321 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t99)) % 1.13/1.39 (define @t322 () (tptp.hAPP @t315 @t110)) % 1.13/1.39 (define @t323 () (tptp.hAPP @t315 @t112)) % 1.13/1.39 (define @t324 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t112 @t110)) % 1.13/1.39 (define @t325 () (@list @t110 @t112 @t28)) % 1.13/1.39 (define @t326 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t112 @t110)) % 1.13/1.39 (define @t327 () (tptp.c_Nat_OSuc @t318)) % 1.13/1.39 (define @t328 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.13/1.39 (define @t329 () (tptp.hAPP @t158 @t110)) % 1.13/1.39 (define @t330 () (tptp.hAPP @t158 @t112)) % 1.13/1.39 (define @t331 () (tptp.hAPP @t329 @t28)) % 1.13/1.39 (define @t332 () (tptp.hAPP @t330 @t28)) % 1.13/1.39 (define @t333 () (= @t268 @t318)) % 1.13/1.39 (define @t334 () (@var "V_times_2" $$unsorted)) % 1.13/1.39 (define @t335 () (@var "V_one_2" $$unsorted)) % 1.13/1.39 (define @t336 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t34 @t335 @t334) @t205)) % 1.13/1.39 (define @t337 () (tptp.c_Nat_OSuc @t267)) % 1.13/1.39 (define @t338 () (tptp.c_Complex_Ocomplex_OComplex @t151 @t154)) % 1.13/1.39 (define @t339 () (tptp.c_Complex_Ocomplex_OComplex @t33 @t94)) % 1.13/1.39 (define @t340 () (@list @t154 @t151 @t94 @t33)) % 1.13/1.39 (define @t341 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t342 () (= @t201 @t341)) % 1.13/1.39 (define @t343 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.39 (define @t344 () (tptp.c_Complex_Ocomplex_OComplex @t205 @t201)) % 1.13/1.39 (define @t345 () (@list @t201 @t205)) % 1.13/1.39 (define @t346 () (@list @t33 @t94)) % 1.13/1.39 (define @t347 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t205 @t201)) % 1.13/1.39 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t205 @t201)) % 1.13/1.39 (define @t349 () (tptp.class_Groups_Oordered__ab__group__add @t34)) % 1.13/1.39 (define @t350 () (@list @t201 @t205 @t34)) % 1.13/1.39 (define @t351 () (= @t130 @t307)) % 1.13/1.39 (define @t352 () (tptp.class_Groups_Ogroup__add @t34)) % 1.13/1.39 (define @t353 () (= @t347 @t307)) % 1.13/1.39 (define @t354 () (tptp.class_Groups_Oab__group__add @t34)) % 1.13/1.39 (define @t355 () (= @t347 (tptp.c_Groups_Ominus__class_Ominus @t34 @t200 @t204))) % 1.13/1.39 (define @t356 () (tptp.c_NthRoot_Osqrt @t133)) % 1.13/1.39 (define @t357 () (tptp.c_NthRoot_Osqrt @t130)) % 1.13/1.39 (define @t358 () (@list @t133 @t130)) % 1.13/1.39 (define @t359 () (= @t130 @t341)) % 1.13/1.39 (define @t360 () (@list @t130)) % 1.13/1.39 (define @t361 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t133)) % 1.13/1.39 (define @t362 () (@list @t133)) % 1.13/1.39 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t130 @t341)) % 1.13/1.39 (define @t364 () (tptp.c_NthRoot_Osqrt @t21)) % 1.13/1.39 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t21)) % 1.13/1.39 (define @t366 () (= @t21 @t341)) % 1.13/1.39 (define @t367 () (= @t364 @t341)) % 1.13/1.39 (define @t368 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t130 @t133)) % 1.13/1.39 (define @t369 () (tptp.c_Nat_OSuc @t17)) % 1.13/1.39 (define @t370 () (tptp.hAPP @t35 @t307)) % 1.13/1.39 (define @t371 () (and @t305 (tptp.class_Rings_Osemiring__0 @t34))) % 1.13/1.39 (define @t372 () (@list @t17 @t105)) % 1.13/1.39 (define @t373 () (= @t267 @t318)) % 1.13/1.39 (define @t374 () (not @t373)) % 1.13/1.39 (define @t375 () (= @t205 @t307)) % 1.13/1.39 (define @t376 () (tptp.hAPP @t35 @t205)) % 1.13/1.39 (define @t377 () (tptp.hAPP @t376 @t267)) % 1.13/1.39 (define @t378 () (tptp.class_Rings_Ozero__neq__one @t34)) % 1.13/1.39 (define @t379 () (tptp.class_Rings_Ono__zero__divisors @t34)) % 1.13/1.39 (define @t380 () (tptp.class_Rings_Omult__zero @t34)) % 1.13/1.39 (define @t381 () (and @t305 @t380 @t379 @t378)) % 1.13/1.39 (define @t382 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t33 @t94)) % 1.13/1.39 (define @t383 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t94 @t33)) % 1.13/1.39 (define @t384 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t383)) % 1.13/1.39 (define @t385 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t382)) % 1.13/1.39 (define @t386 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t307 @t33) @t33)) % 1.13/1.39 (define @t387 () (tptp.class_Groups_Omonoid__add @t34)) % 1.13/1.39 (define @t388 () (tptp.class_Groups_Ocomm__monoid__add @t34)) % 1.13/1.39 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t205 @t205)) % 1.13/1.39 (define @t390 () (tptp.class_Groups_Olinordered__ab__group__add @t34)) % 1.13/1.39 (define @t391 () (@list @t205 @t34)) % 1.13/1.39 (define @t392 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t307) @t33)) % 1.13/1.39 (define @t393 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t205)) % 1.13/1.39 (define @t394 () (tptp.hAPP @t48 @t306)) % 1.13/1.39 (define @t395 () (tptp.c_Nat_OSuc @t327)) % 1.13/1.39 (define @t396 () (= @t33 @t94)) % 1.13/1.39 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t94)) % 1.13/1.39 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t33)) % 1.13/1.39 (define @t399 () (tptp.hAPP @t276 @t369)) % 1.13/1.39 (define @t400 () (tptp.hAPP @t36 @t369)) % 1.13/1.39 (define @t401 () (@list @t94 @t17 @t33 @t34)) % 1.13/1.39 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t94)) % 1.13/1.39 (define @t403 () (tptp.c_NthRoot_Osqrt @t122)) % 1.13/1.39 (define @t404 () (tptp.hAPP @t370 @t17)) % 1.13/1.39 (define @t405 () (= @t17 @t318)) % 1.13/1.39 (define @t406 () (not @t405)) % 1.13/1.39 (define @t407 () (tptp.hAPP @t328 @t68)) % 1.13/1.39 (define @t408 () (tptp.hAPP @t407 @t216)) % 1.13/1.39 (define @t409 () (tptp.hAPP @t11 @t21)) % 1.13/1.39 (define @t410 () (tptp.hAPP @t409 @t122)) % 1.13/1.39 (define @t411 () (tptp.hAPP @t18 @t364)) % 1.13/1.39 (define @t412 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t104 @t252)) % 1.13/1.39 (define @t413 () (tptp.c_Int_OBit0 @t412)) % 1.13/1.39 (define @t414 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t104 @t252)) % 1.13/1.39 (define @t415 () (= (tptp.hAPP @t53 @t307) @t307)) % 1.13/1.39 (define @t416 () (tptp.hAPP @t48 @t307)) % 1.13/1.39 (define @t417 () (= (tptp.hAPP @t416 @t33) @t307)) % 1.13/1.39 (define @t418 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t201 @t205)) % 1.13/1.39 (define @t419 () (@list @t205 @t201 @t34)) % 1.13/1.39 (define @t420 () (= @t33 @t307)) % 1.13/1.39 (define @t421 () (not @t420)) % 1.13/1.39 (define @t422 () (tptp.class_Rings_Oring__1__no__zero__divisors @t34)) % 1.13/1.39 (define @t423 () (@list @t17 @t21)) % 1.13/1.39 (define @t424 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t40 @t300)) % 1.13/1.39 (define @t425 () (tptp.hAPP @t11 @t200)) % 1.13/1.39 (define @t426 () (not (= @t200 @t341))) % 1.13/1.39 (define @t427 () (@list @t201 @t205 @t200)) % 1.13/1.39 (define @t428 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t205)) % 1.13/1.39 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t205 @t307)) % 1.13/1.39 (define @t430 () (tptp.class_Groups_Oordered__comm__monoid__add @t34)) % 1.13/1.39 (define @t431 () (= @t133 @t307)) % 1.13/1.39 (define @t432 () (and @t351 @t431)) % 1.13/1.39 (define @t433 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t94 @t153)) % 1.13/1.39 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t94 @t151)) % 1.13/1.39 (define @t435 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t94 @t33)) % 1.13/1.39 (define @t436 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t151)) % 1.13/1.39 (define @t437 () (@list @t33 @t94 @t151 @t34)) % 1.13/1.39 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t94 @t307)) % 1.13/1.39 (define @t439 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t307)) % 1.13/1.39 (define @t440 () (= @t40 @t33)) % 1.13/1.39 (define @t441 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t40)) % 1.13/1.39 (define @t442 () (forall @t39 (=> @t302 @t441))) % 1.13/1.39 (define @t443 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t94 @t154)) % 1.13/1.39 (define @t444 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t33 @t151)) % 1.13/1.39 (define @t445 () (tptp.c_Nat_OSuc @t369)) % 1.13/1.39 (define @t446 () (tptp.hAPP @t409 @t21)) % 1.13/1.39 (define @t447 () (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t446 (tptp.hAPP (tptp.hAPP @t11 @t122) @t122)))) % 1.13/1.39 (define @t448 () (@var "V_r" $$unsorted)) % 1.13/1.39 (define @t449 () (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t21 @t33))) % 1.13/1.39 (define @t450 () (tptp.hAPP @t449 @t94)) % 1.13/1.39 (define @t451 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t122 @t94)) % 1.13/1.39 (define @t452 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t126 @t97)) % 1.13/1.39 (define @t453 () (tptp.class_Rings_Oring @t34)) % 1.13/1.39 (define @t454 () (@list @t94 @t33 @t122 @t21 @t34)) % 1.13/1.39 (define @t455 () (and @t32 (tptp.class_Rings_Oring @t29))) % 1.13/1.39 (define @t456 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t94 @t154)) % 1.13/1.39 (define @t457 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t33 @t151)) % 1.13/1.39 (define @t458 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t171 @t155)) % 1.13/1.39 (define @t459 () (tptp.hAPP @t46 (tptp.c_Nat_OSuc @t67))) % 1.13/1.39 (define @t460 () (@list @t67 @t21 @t34)) % 1.13/1.39 (define @t461 () (tptp.hAPP @t49 @t124)) % 1.13/1.39 (define @t462 () (tptp.c_Int_OBit1 @t414)) % 1.13/1.39 (define @t463 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t220 @t130) (tptp.hAPP (tptp.hAPP @t48 @t133) @t133))) % 1.13/1.39 (define @t464 () (tptp.class_Rings_Olinordered__ring__strict @t34)) % 1.13/1.39 (define @t465 () (tptp.hAPP @t48 @t448)) % 1.13/1.39 (define @t466 () (tptp.hAPP @t11 @t94)) % 1.13/1.39 (define @t467 () (tptp.hAPP @t11 @t33)) % 1.13/1.39 (define @t468 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.13/1.39 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t116 @t277)) % 1.13/1.39 (define @t470 () (=> @t398 @t469)) % 1.13/1.39 (define @t471 () (=> @t402 @t470)) % 1.13/1.39 (define @t472 () (forall @t279 (=> @t141 @t471))) % 1.13/1.39 (define @t473 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.13/1.39 (define @t474 () (and @t359 (= @t133 @t341))) % 1.13/1.39 (define @t475 () (tptp.hAPP @t11 @t133)) % 1.13/1.39 (define @t476 () (tptp.hAPP @t11 @t130)) % 1.13/1.39 (define @t477 () (tptp.hAPP @t476 @t130)) % 1.13/1.39 (define @t478 () (tptp.c_NthRoot_Osqrt @t10)) % 1.13/1.39 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t122)) % 1.13/1.39 (define @t480 () (tptp.hAPP @t411 @t20)) % 1.13/1.39 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t130)) % 1.13/1.39 (define @t482 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t252)) % 1.13/1.39 (define @t483 () (tptp.c_Int_OBit1 @t482)) % 1.13/1.39 (define @t484 () (tptp.hAPP @t48 @t122)) % 1.13/1.39 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t50 (tptp.hAPP @t484 @t122))) % 1.13/1.39 (define @t486 () (tptp.class_Rings_Olinordered__ring @t34)) % 1.13/1.39 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t122 @t21)) % 1.13/1.39 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t122)) % 1.13/1.39 (define @t489 () (tptp.class_Orderings_Olinorder @t34)) % 1.13/1.39 (define @t490 () (tptp.tc_fun @t34 @t29)) % 1.13/1.39 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t490 @t2 @t1)) % 1.13/1.39 (define @t492 () (tptp.class_Orderings_Oord @t29)) % 1.13/1.39 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t99 @t122)) % 1.13/1.39 (define @t494 () (tptp.class_Orderings_Oorder @t34)) % 1.13/1.39 (define @t495 () (@list @t99 @t21 @t122 @t34)) % 1.13/1.39 (define @t496 () (= @t21 @t122)) % 1.13/1.39 (define @t497 () (@list @t21 @t122 @t34)) % 1.13/1.39 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t122 @t99)) % 1.13/1.39 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t151 @t33)) % 1.13/1.39 (define @t500 () (= @t94 @t151)) % 1.13/1.39 (define @t501 () (@list @t151 @t33 @t94 @t34)) % 1.13/1.39 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t151)) % 1.13/1.39 (define @t503 () (tptp.class_Orderings_Oord @t34)) % 1.13/1.39 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t130 @t133)) % 1.13/1.39 (define @t505 () (= @t504 @t249)) % 1.13/1.39 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t133 @t130)) % 1.13/1.39 (define @t507 () (@list @t130 @t133 @t34)) % 1.13/1.39 (define @t508 () (@list @t1 @t2 @t34 @t29)) % 1.13/1.39 (define @t509 () (= @t201 @t200)) % 1.13/1.39 (define @t510 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t205 @t200)) % 1.13/1.39 (define @t511 () (tptp.class_Groups_Ocancel__semigroup__add @t34)) % 1.13/1.39 (define @t512 () (@list @t200 @t201 @t205 @t34)) % 1.13/1.39 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t200 @t205)) % 1.13/1.39 (define @t514 () (=> (= @t171 @t153) @t500)) % 1.13/1.39 (define @t515 () (@list @t192)) % 1.13/1.39 (define @t516 () (tptp.hAPP @t36 @t304)) % 1.13/1.39 (define @t517 () (@var "V_real2_H_2" $$unsorted)) % 1.13/1.39 (define @t518 () (@var "V_real2_2" $$unsorted)) % 1.13/1.39 (define @t519 () (@var "V_real1_H_2" $$unsorted)) % 1.13/1.39 (define @t520 () (@var "V_real1_2" $$unsorted)) % 1.13/1.39 (define @t521 () (tptp.c_Complex_Ocomplex_OComplex @t520 @t518)) % 1.13/1.39 (define @t522 () (@var "V_ya" $$unsorted)) % 1.13/1.39 (define @t523 () (@var "V_xa" $$unsorted)) % 1.13/1.39 (define @t524 () (tptp.hAPP (tptp.hAPP @t11 @t296) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t18 @t523) @t20) (tptp.hAPP (tptp.hAPP @t18 @t522) @t20)))) % 1.13/1.39 (define @t525 () (tptp.c_NthRoot_Osqrt @t524)) % 1.13/1.39 (define @t526 () (@list @t522 @t523 @t122 @t21)) % 1.13/1.39 (define @t527 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t99 @t99)) % 1.13/1.39 (define @t528 () (tptp.hAPP @t376 @t20)) % 1.13/1.39 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t122)) % 1.13/1.39 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t21)) % 1.13/1.39 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t35 @t130) @t20) (tptp.hAPP (tptp.hAPP @t35 @t133) @t20))) % 1.13/1.39 (define @t532 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t151 @t94)) % 1.13/1.39 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t152 @t532)) % 1.13/1.39 (define @t534 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t34)) % 1.13/1.39 (define @t535 () (@list @t94 @t33 @t151 @t34)) % 1.13/1.39 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t170)) % 1.13/1.39 (define @t537 () (@list @t94 @t151 @t33 @t34)) % 1.13/1.39 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t151 @t154)) % 1.13/1.39 (define @t539 () (tptp.class_Groups_Oordered__ab__semigroup__add @t34)) % 1.13/1.39 (define @t540 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t200 @t201)) % 1.13/1.39 (define @t541 () (@list @t201 @t205 @t200 @t34)) % 1.13/1.39 (define @t542 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t201 @t200)) % 1.13/1.39 (define @t543 () (@list @t201 @t200 @t205 @t34)) % 1.13/1.39 (define @t544 () (tptp.class_RealVector_Oreal__normed__vector @t34)) % 1.13/1.39 (define @t545 () (@var "V_u" $$unsorted)) % 1.13/1.39 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 @t545) @t21) (tptp.hAPP (tptp.hAPP @t48 @t145) @t122))) % 1.13/1.39 (define @t547 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t545 @t145) @t42)) % 1.13/1.39 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t145)) % 1.13/1.39 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t545)) % 1.13/1.39 (define @t550 () (@list @t145 @t545 @t122 @t33 @t21 @t34)) % 1.13/1.39 (define @t551 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t34)) % 1.13/1.39 (define @t552 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t382)) % 1.13/1.39 (define @t553 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t94)) % 1.13/1.39 (define @t554 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t33)) % 1.13/1.39 (define @t555 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t554 @t553)) % 1.13/1.39 (define @t556 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t21)) % 1.13/1.39 (define @t557 () (tptp.hAPP (tptp.hAPP @t18 @t556) @t17)) % 1.13/1.39 (define @t558 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t56)) % 1.13/1.39 (define @t559 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex tptp.c_Int_OMin)) % 1.13/1.39 (define @t560 () (tptp.class_RealVector_Oreal__normed__algebra @t34)) % 1.13/1.39 (define @t561 () (@list @t122 @t34)) % 1.13/1.39 (define @t562 () (= @t201 @t307)) % 1.13/1.39 (define @t563 () (tptp.hAPP @t206 @t201)) % 1.13/1.39 (define @t564 () (= @t97 @t307)) % 1.13/1.39 (define @t565 () (= @t94 @t307)) % 1.13/1.39 (define @t566 () (not @t565)) % 1.13/1.39 (define @t567 () (@var "V_b_H" $$unsorted)) % 1.13/1.39 (define @t568 () (tptp.hAPP @t53 @t567)) % 1.13/1.39 (define @t569 () (@list @t567 @t94 @t33 @t34)) % 1.13/1.39 (define @t570 () (tptp.hAPP @t48 @t523)) % 1.13/1.39 (define @t571 () (tptp.hAPP @t570 @t122)) % 1.13/1.39 (define @t572 () (tptp.hAPP @t570 @t21)) % 1.13/1.39 (define @t573 () (@list @t122 @t21 @t523 @t34)) % 1.13/1.39 (define @t574 () (@var "V_a_H" $$unsorted)) % 1.13/1.39 (define @t575 () (tptp.hAPP (tptp.hAPP @t48 @t574) @t94)) % 1.13/1.39 (define @t576 () (@list @t94 @t574 @t33 @t34)) % 1.13/1.39 (define @t577 () (tptp.hAPP @t484 @t522)) % 1.13/1.39 (define @t578 () (tptp.hAPP @t49 @t522)) % 1.13/1.39 (define @t579 () (@list @t522 @t122 @t21 @t34)) % 1.13/1.39 (define @t580 () (@var "V_e" $$unsorted)) % 1.13/1.39 (define @t581 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t130)) % 1.13/1.39 (define @t582 () (tptp.hAPP @t48 @t40)) % 1.13/1.39 (define @t583 () (tptp.hAPP @t582 @t300)) % 1.13/1.39 (define @t584 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t97) @t583)) % 1.13/1.39 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 @t122)) % 1.13/1.39 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 @t21)) % 1.13/1.39 (define @t587 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t201 @t307)) % 1.13/1.39 (define @t588 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t201)) % 1.13/1.39 (define @t589 () (or (and @t428 @t588) (and @t429 @t587))) % 1.13/1.39 (define @t590 () (or (and @t428 @t587) (and @t429 @t588))) % 1.13/1.39 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t97)) % 1.13/1.39 (define @t592 () (tptp.class_Rings_Oordered__cancel__semiring @t34)) % 1.13/1.39 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t97 @t307)) % 1.13/1.39 (define @t594 () (tptp.class_Rings_Oordered__ring @t34)) % 1.13/1.39 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t213 @t212)) % 1.13/1.39 (define @t596 () (tptp.class_Rings_Oordered__semiring @t34)) % 1.13/1.39 (define @t597 () (tptp.hAPP @t48 @t151)) % 1.13/1.39 (define @t598 () (tptp.hAPP @t597 @t94)) % 1.13/1.39 (define @t599 () (tptp.hAPP @t597 @t33)) % 1.13/1.39 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t599 @t598)) % 1.13/1.39 (define @t601 () (=> @t402 (=> @t436 @t600))) % 1.13/1.39 (define @t602 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t151 @t307)) % 1.13/1.39 (define @t603 () (tptp.hAPP @t95 @t154)) % 1.13/1.39 (define @t604 () (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t213 @t603))) % 1.13/1.39 (define @t605 () (@var "V_e_2" $$unsorted)) % 1.13/1.39 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t201 @t205)) @t605) @t204)) % 1.13/1.39 (define @t607 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t202 @t605) @t204)) % 1.13/1.39 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t206 @t605) @t200)) % 1.13/1.39 (define @t609 () (= @t608 @t607)) % 1.13/1.39 (define @t610 () (@list @t204 @t201 @t200 @t605 @t205 @t34)) % 1.13/1.39 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 @t347) @t605) @t200)) % 1.13/1.39 (define @t612 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t219)) % 1.13/1.39 (define @t613 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t122)) % 1.13/1.39 (define @t614 () (tptp.hAPP (tptp.hAPP @t11 @t556) @t613)) % 1.13/1.39 (define @t615 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t126)) % 1.13/1.39 (define @t616 () (tptp.class_RealVector_Oreal__normed__div__algebra @t34)) % 1.13/1.39 (define @t617 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t122 @t42)) % 1.13/1.39 (define @t618 () (tptp.hAPP @t484 @t21)) % 1.13/1.39 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t608 @t607)) % 1.13/1.39 (define @t620 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t28)) % 1.13/1.39 (define @t621 () (tptp.hAPP @t370 @t620)) % 1.13/1.39 (define @t622 () (= @t620 @t318)) % 1.13/1.39 (define @t623 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t283)) % 1.13/1.39 (define @t624 () (tptp.hAPP @t35 @t216)) % 1.13/1.39 (define @t625 () (tptp.hAPP @t48 @t216)) % 1.13/1.39 (define @t626 () (tptp.hAPP @t624 @t17)) % 1.13/1.39 (define @t627 () (tptp.hAPP @t11 @t151)) % 1.13/1.39 (define @t628 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t151 @t341)) % 1.13/1.39 (define @t629 () (@var "V_nat_H_2" $$unsorted)) % 1.13/1.39 (define @t630 () (@var "V_nat_2" $$unsorted)) % 1.13/1.39 (define @t631 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t216)) % 1.13/1.39 (define @t632 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t104)) % 1.13/1.39 (define @t633 () (@list @t104 @t17 @t216)) % 1.13/1.39 (define @t634 () (= @t268 @t267)) % 1.13/1.39 (define @t635 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t267)) % 1.13/1.39 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t268)) % 1.13/1.39 (define @t637 () (@list @t267 @t268 @t164)) % 1.13/1.39 (define @t638 () (@list @t267 @t164 @t268)) % 1.13/1.39 (define @t639 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t216)) % 1.13/1.39 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 @t17)) % 1.13/1.39 (define @t641 () (= @t216 @t17)) % 1.13/1.39 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t106)) % 1.13/1.39 (define @t643 () (tptp.hAPP @t58 @t17)) % 1.13/1.39 (define @t644 () (tptp.hAPP @t643 @t104)) % 1.13/1.39 (define @t645 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t106)) % 1.13/1.39 (define @t646 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t645 @t104)) % 1.13/1.39 (define @t647 () (tptp.c_Nat_OSuc @t216)) % 1.13/1.39 (define @t648 () (@list @t216)) % 1.13/1.39 (define @t649 () (@var "V_nat_H" $$unsorted)) % 1.13/1.39 (define @t650 () (@var "V_nat_H_1" $$unsorted)) % 1.13/1.39 (define @t651 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t267)) % 1.13/1.39 (define @t652 () (@list @t267)) % 1.13/1.39 (define @t653 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t369)) % 1.13/1.39 (define @t654 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t647 @t17)) % 1.13/1.39 (define @t655 () (tptp.c_Nat_OSuc @t317)) % 1.13/1.39 (define @t656 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t337 @t268)) % 1.13/1.39 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t267)) % 1.13/1.39 (define @t658 () (tptp.c_Nat_OSuc @t268)) % 1.13/1.39 (define @t659 () (@list @t268 @t267)) % 1.13/1.39 (define @t660 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 @t369)) % 1.13/1.39 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t647 @t17)) % 1.13/1.39 (define @t662 () (tptp.hAPP @t58 @t268)) % 1.13/1.39 (define @t663 () (tptp.hAPP @t662 @t267)) % 1.13/1.39 (define @t664 () (= @t164 @t318)) % 1.13/1.39 (define @t665 () (or @t634 @t664)) % 1.13/1.39 (define @t666 () (tptp.hAPP @t58 @t164)) % 1.13/1.39 (define @t667 () (tptp.hAPP @t666 @t267)) % 1.13/1.39 (define @t668 () (tptp.hAPP @t666 @t268)) % 1.13/1.39 (define @t669 () (= @t668 @t667)) % 1.13/1.39 (define @t670 () (tptp.hAPP (tptp.hAPP @t58 @t267) @t164)) % 1.13/1.39 (define @t671 () (tptp.hAPP @t662 @t164)) % 1.13/1.39 (define @t672 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t17)) % 1.13/1.39 (define @t673 () (= @t672 @t318)) % 1.13/1.39 (define @t674 () (tptp.hAPP @t58 (tptp.c_Nat_OSuc @t164))) % 1.13/1.39 (define @t675 () (tptp.hAPP @t674 @t267)) % 1.13/1.39 (define @t676 () (tptp.hAPP @t674 @t268)) % 1.13/1.39 (define @t677 () (@list @t216 @t17)) % 1.13/1.39 (define @t678 () (@var "B_n" $$unsorted)) % 1.13/1.39 (define @t679 () (@var "B_k" $$unsorted)) % 1.13/1.39 (define @t680 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t679)) % 1.13/1.39 (define @t681 () (@list @t679)) % 1.13/1.39 (define @t682 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t216)) % 1.13/1.39 (define @t683 () (@list @t216 @t106 @t105)) % 1.13/1.39 (define @t684 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t106)) % 1.13/1.39 (define @t685 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t104)) % 1.13/1.39 (define @t686 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t104)) % 1.13/1.39 (define @t687 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t252)) % 1.13/1.39 (define @t688 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t252)) % 1.13/1.39 (define @t689 () (@list @t252 @t104 @t106 @t105)) % 1.13/1.39 (define @t690 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t17)) % 1.13/1.39 (define @t691 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t104)) % 1.13/1.39 (define @t692 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t691 @t17)) % 1.13/1.39 (define @t693 () (@list @t17 @t104 @t216)) % 1.13/1.39 (define @t694 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t647 @t17)) % 1.13/1.39 (define @t695 () (tptp.hAPP @t58 @t104)) % 1.13/1.39 (define @t696 () (tptp.hAPP @t695 @t17)) % 1.13/1.39 (define @t697 () (tptp.hAPP @t695 @t216)) % 1.13/1.39 (define @t698 () (@list @t17 @t216 @t104)) % 1.13/1.39 (define @t699 () (tptp.hAPP @t291 @t104)) % 1.13/1.39 (define @t700 () (tptp.hAPP @t291 @t216)) % 1.13/1.39 (define @t701 () (tptp.hAPP @t58 @t106)) % 1.13/1.39 (define @t702 () (tptp.hAPP @t701 @t104)) % 1.13/1.39 (define @t703 () (tptp.hAPP @t58 @t105)) % 1.13/1.39 (define @t704 () (tptp.hAPP @t703 @t104)) % 1.13/1.39 (define @t705 () (tptp.hAPP @t695 @t106)) % 1.13/1.39 (define @t706 () (tptp.hAPP @t695 @t105)) % 1.13/1.39 (define @t707 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t104 @t17)) % 1.13/1.39 (define @t708 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t104 @t216)) % 1.13/1.39 (define @t709 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t216)) % 1.13/1.39 (define @t710 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t17)) % 1.13/1.39 (define @t711 () (@list @t252 @t17 @t216)) % 1.13/1.39 (define @t712 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t267 @t164)) % 1.13/1.39 (define @t713 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t268 @t164)) % 1.13/1.39 (define @t714 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t267)) % 1.13/1.39 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t268)) % 1.13/1.39 (define @t716 () (and (= @t268 @t72) (= @t267 @t72))) % 1.13/1.39 (define @t717 () (= @t267 @t327)) % 1.13/1.39 (define @t718 () (= @t268 @t327)) % 1.13/1.39 (define @t719 () (or (and @t718 @t373) (and @t333 @t717))) % 1.13/1.39 (define @t720 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t104)) % 1.13/1.39 (define @t721 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t720 @t105)) % 1.13/1.39 (define @t722 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t105)) % 1.13/1.39 (define @t723 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t722 @t104)) % 1.13/1.39 (define @t724 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t106)) % 1.13/1.39 (define @t725 () (@list @t105 @t106 @t104)) % 1.13/1.39 (define @t726 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t720)) % 1.13/1.39 (define @t727 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t106)) % 1.13/1.39 (define @t728 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t727 @t104)) % 1.13/1.39 (define @t729 () (@var "V_i_2" $$unsorted)) % 1.13/1.39 (define @t730 () (@var "V_j_2" $$unsorted)) % 1.13/1.39 (define @t731 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t730 @t729)) % 1.13/1.39 (define @t732 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t729 @t730)) % 1.13/1.39 (define @t733 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t729 @t164)) % 1.13/1.39 (define @t734 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t730 @t164)) % 1.13/1.39 (define @t735 () (tptp.c_Nat_OSuc @t106)) % 1.13/1.39 (define @t736 () (tptp.c_Nat_OSuc @t720)) % 1.13/1.39 (define @t737 () (@list @t216 @t106 @t104)) % 1.13/1.39 (define @t738 () (@var "V_real2" $$unsorted)) % 1.13/1.39 (define @t739 () (@var "V_real1" $$unsorted)) % 1.13/1.39 (define @t740 () (tptp.c_Complex_Ocomplex_OComplex @t739 @t738)) % 1.13/1.39 (define @t741 () (@list @t738 @t739)) % 1.13/1.39 (define @t742 () (@var "V_u_2" $$unsorted)) % 1.13/1.39 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t729 @t730)) @t742) @t268)) % 1.13/1.39 (define @t744 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 @t730) @t742) @t267)) % 1.13/1.39 (define @t745 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 @t729) @t742) @t268)) % 1.13/1.39 (define @t746 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t745 @t744)) % 1.13/1.39 (define @t747 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t729)) % 1.13/1.39 (define @t748 () (@list @t267 @t268 @t742 @t729 @t730)) % 1.13/1.39 (define @t749 () (tptp.hAPP @t701 @t545)) % 1.13/1.39 (define @t750 () (tptp.hAPP @t703 @t545)) % 1.13/1.39 (define @t751 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t750 @t216) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t749 @t17))) % 1.13/1.39 (define @t752 () (= @t745 @t744)) % 1.13/1.39 (define @t753 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 @t731) @t742) @t267)) % 1.13/1.39 (define @t754 () (@list @t267 @t268 @t742 @t730 @t729)) % 1.13/1.39 (define @t755 () (@var "V_f1_2" $$unsorted)) % 1.13/1.39 (define @t756 () (tptp.hAPP (tptp.hAPP @t755 @t520) @t518)) % 1.13/1.39 (define @t757 () (@list @t518 @t520 @t755 @t34)) % 1.13/1.39 (define @t758 () (tptp.class_Rings_Odivision__ring @t34)) % 1.13/1.39 (define @t759 () (tptp.class_RealVector_Oreal__normed__field @t34)) % 1.13/1.39 (define @t760 () (tptp.class_Rings_Odivision__ring__inverse__zero @t34)) % 1.13/1.39 (define @t761 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t94 @t151)) % 1.13/1.39 (define @t762 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t151)) % 1.13/1.39 (define @t763 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t122 @t522)) % 1.13/1.39 (define @t764 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t21 @t522)) % 1.13/1.39 (define @t765 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t94)) % 1.13/1.39 (define @t766 () (= (tptp.hAPP (tptp.hAPP @t35 @t765) @t17) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t116 @t277))) % 1.13/1.39 (define @t767 () (tptp.class_Fields_Ofield__inverse__zero @t34)) % 1.13/1.39 (define @t768 () (tptp.hAPP @t11 @t448)) % 1.13/1.39 (define @t769 () (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t765) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t554 @t553))) % 1.13/1.39 (define @t770 () (@list @t33 @t94 @t34)) % 1.13/1.39 (define @t771 () (not (= @t151 @t307))) % 1.13/1.39 (define @t772 () (= @t201 @t207)) % 1.13/1.39 (define @t773 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t201 @t200)) % 1.13/1.39 (define @t774 () (= @t773 @t205)) % 1.13/1.39 (define @t775 () (= @t200 @t307)) % 1.13/1.39 (define @t776 () (not @t775)) % 1.13/1.39 (define @t777 () (@list @t205 @t201 @t200 @t34)) % 1.13/1.39 (define @t778 () (= @t207 @t201)) % 1.13/1.39 (define @t779 () (= @t205 @t773)) % 1.13/1.39 (define @t780 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t33)) % 1.13/1.39 (define @t781 () (=> @t421 (= @t780 @t42))) % 1.13/1.39 (define @t782 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t205 @t201)) % 1.13/1.39 (define @t783 () (tptp.class_Fields_Ofield @t34)) % 1.13/1.39 (define @t784 () (= @t247 @t307)) % 1.13/1.39 (define @t785 () (=> @t784 @t375)) % 1.13/1.39 (define @t786 () (tptp.hAPP @t206 @t247)) % 1.13/1.39 (define @t787 () (not @t784)) % 1.13/1.39 (define @t788 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t201 @t247)) % 1.13/1.39 (define @t789 () (and @t767 @t248)) % 1.13/1.39 (define @t790 () (@list @t205 @t219 @t201 @t34)) % 1.13/1.39 (define @t791 () (=> @t775 @t784)) % 1.13/1.39 (define @t792 () (tptp.hAPP (tptp.hAPP @t48 @t247) @t200)) % 1.13/1.39 (define @t793 () (@list @t219 @t200 @t201 @t34)) % 1.13/1.39 (define @t794 () (@list @t200 @t201 @t219 @t34)) % 1.13/1.39 (define @t795 () (@list @t219 @t201 @t205 @t34)) % 1.13/1.39 (define @t796 () (and @t783 @t76)) % 1.13/1.39 (define @t797 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t94 @t33) @t10)) % 1.13/1.39 (define @t798 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t21 @t10)) % 1.13/1.39 (define @t799 () (@list @t154 @t94 @t151 @t33 @t34)) % 1.13/1.39 (define @t800 () (tptp.hAPP @t2 @t205)) % 1.13/1.39 (define @t801 () (tptp.hAPP @t2 @t201)) % 1.13/1.39 (define @t802 () (tptp.hAPP @t11 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t801 @t800) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t201 @t205)))) % 1.13/1.39 (define @t803 () (@var "V_h" $$unsorted)) % 1.13/1.39 (define @t804 () (tptp.hAPP @t597 @t154)) % 1.13/1.39 (define @t805 () (tptp.hAPP @t261 @t21)) % 1.13/1.39 (define @t806 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t122 @t99)) % 1.13/1.39 (define @t807 () (not (= @t99 @t307))) % 1.13/1.39 (define @t808 () (@list @t122 @t21 @t99 @t34)) % 1.13/1.39 (define @t809 () (tptp.hAPP @t261 @t122)) % 1.13/1.39 (define @t810 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t21 @t99)) % 1.13/1.39 (define @t811 () (tptp.hAPP @t484 @t99)) % 1.13/1.39 (define @t812 () (tptp.hAPP (tptp.hAPP @t48 @t28) @t122)) % 1.13/1.39 (define @t813 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t28 @t99)) % 1.13/1.39 (define @t814 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t21 @t122)) % 1.13/1.39 (define @t815 () (not (= @t122 @t307))) % 1.13/1.39 (define @t816 () (@list @t28 @t21 @t99 @t122 @t34)) % 1.13/1.39 (define @t817 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t765) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t40 @t300))) % 1.13/1.39 (define @t818 () (tptp.class_Fields_Olinordered__field__inverse__zero @t34)) % 1.13/1.39 (define @t819 () (=> @t775 @t375)) % 1.13/1.39 (define @t820 () (@list @t205 @t200 @t201 @t34)) % 1.13/1.39 (define @t821 () (not @t431)) % 1.13/1.39 (define @t822 () (tptp.class_Fields_Olinordered__field @t34)) % 1.13/1.39 (define @t823 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t21 @t809)) % 1.13/1.39 (define @t824 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t823 @t122)) % 1.13/1.39 (define @t825 () (@list @t21 @t99 @t122 @t34)) % 1.13/1.39 (define @t826 () (tptp.c_Transcendental_Oarctan @t21)) % 1.13/1.39 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t308 @t545)) % 1.13/1.39 (define @t828 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t545 @t10)) % 1.13/1.39 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t545)) % 1.13/1.39 (define @t830 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t545 @t478)) % 1.13/1.39 (define @t831 () (tptp.c_Orderings_Oord__class_Oless @t34 @t599 @t598)) % 1.13/1.39 (define @t832 () (tptp.c_Orderings_Oord__class_Oless @t34 @t151 @t307)) % 1.13/1.39 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t34 @t94 @t33)) % 1.13/1.39 (define @t834 () (tptp.c_Orderings_Oord__class_Oless @t34 @t213 @t212)) % 1.13/1.39 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t151)) % 1.13/1.39 (define @t836 () (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t94)) % 1.13/1.39 (define @t837 () (=> @t836 (=> @t835 @t831))) % 1.13/1.39 (define @t838 () (tptp.class_Rings_Olinordered__semiring__strict @t34)) % 1.13/1.39 (define @t839 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t97)) % 1.13/1.39 (define @t840 () (tptp.c_Orderings_Oord__class_Oless @t34 @t94 @t307)) % 1.13/1.39 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t307)) % 1.13/1.39 (define @t842 () (tptp.c_Orderings_Oord__class_Oless @t34 @t97 @t307)) % 1.13/1.39 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t94)) % 1.13/1.39 (define @t844 () (tptp.c_Orderings_Oord__class_Oless @t34 @t201 @t205)) % 1.13/1.39 (define @t845 () (tptp.hAPP @t48 @t200)) % 1.13/1.39 (define @t846 () (tptp.hAPP @t845 @t201)) % 1.13/1.39 (define @t847 () (tptp.hAPP @t845 @t205)) % 1.13/1.39 (define @t848 () (tptp.c_Orderings_Oord__class_Oless @t34 @t847 @t846)) % 1.13/1.39 (define @t849 () (tptp.c_Orderings_Oord__class_Oless @t34 @t200 @t307)) % 1.13/1.39 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t33)) % 1.13/1.39 (define @t851 () (=> @t850 @t843)) % 1.13/1.39 (define @t852 () (tptp.c_Orderings_Oord__class_Oless @t34 @t205 @t201)) % 1.13/1.39 (define @t853 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t200)) % 1.13/1.39 (define @t854 () (or (and @t853 @t852) (and @t849 @t844))) % 1.13/1.39 (define @t855 () (tptp.c_Orderings_Oord__class_Oless @t34 @t171 @t307)) % 1.13/1.39 (define @t856 () (=> @t840 @t855)) % 1.13/1.39 (define @t857 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t171)) % 1.13/1.39 (define @t858 () (=> @t843 @t857)) % 1.13/1.39 (define @t859 () (tptp.c_Orderings_Oord__class_Oless @t34 @t205 @t307)) % 1.13/1.39 (define @t860 () (= (tptp.c_Orderings_Oord__class_Oless @t34 @t389 @t307) @t859)) % 1.13/1.39 (define @t861 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t205)) % 1.13/1.39 (define @t862 () (tptp.c_Orderings_Oord__class_Oless @t34 @t94 @t153)) % 1.13/1.39 (define @t863 () (tptp.c_Orderings_Oord__class_Oless @t34 @t94 @t151)) % 1.13/1.39 (define @t864 () (=> @t863 @t862)) % 1.13/1.39 (define @t865 () (tptp.c_Transcendental_Oarctan @t122)) % 1.13/1.39 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t122)) % 1.13/1.39 (define @t867 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t130 @t133)) % 1.13/1.39 (define @t868 () (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t42)) % 1.13/1.39 (define @t869 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t137)) % 1.13/1.39 (define @t870 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t17)) % 1.13/1.39 (define @t871 () (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t33)) % 1.13/1.39 (define @t872 () (tptp.c_Orderings_Oord__class_Oless @t34 @t133 @t130)) % 1.13/1.39 (define @t873 () (tptp.c_Orderings_Oord__class_Oless @t34 @t130 @t133)) % 1.13/1.39 (define @t874 () (not @t249)) % 1.13/1.39 (define @t875 () (not @t873)) % 1.13/1.39 (define @t876 () (tptp.c_Orderings_Oord__class_Oless @t34 @t122 @t21)) % 1.13/1.39 (define @t877 () (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t122)) % 1.13/1.39 (define @t878 () (= @t875 @t249)) % 1.13/1.39 (define @t879 () (not @t877)) % 1.13/1.39 (define @t880 () (not @t496)) % 1.13/1.39 (define @t881 () (=> @t880 (=> @t879 @t876))) % 1.13/1.39 (define @t882 () (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t151)) % 1.13/1.39 (define @t883 () (tptp.c_Orderings_Oord__class_Oless @t34 @t151 @t33)) % 1.13/1.39 (define @t884 () (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t99)) % 1.13/1.39 (define @t885 () (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t122 @t99) @t884)) % 1.13/1.39 (define @t886 () (tptp.c_Orderings_Oord__class_Oless @t34 @t99 @t21)) % 1.13/1.39 (define @t887 () (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t99 @t122) @t886)) % 1.13/1.39 (define @t888 () (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t170)) % 1.13/1.39 (define @t889 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t34)) % 1.13/1.39 (define @t890 () (tptp.c_Orderings_Oord__class_Oless @t34 @t152 @t532)) % 1.13/1.39 (define @t891 () (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t175)) % 1.13/1.39 (define @t892 () (tptp.c_Orderings_Oord__class_Oless @t34 @t151 @t154)) % 1.13/1.39 (define @t893 () (=> @t892 @t891)) % 1.13/1.39 (define @t894 () (not @t396)) % 1.13/1.39 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t216 @t17)) % 1.13/1.39 (define @t896 () (tptp.hAPP @t35 @t201)) % 1.13/1.39 (define @t897 () (tptp.hAPP @t896 @t133)) % 1.13/1.39 (define @t898 () (tptp.hAPP @t896 @t130)) % 1.13/1.39 (define @t899 () (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t201)) % 1.13/1.39 (define @t900 () (@list @t133 @t130 @t201 @t34)) % 1.13/1.39 (define @t901 () (tptp.c_Orderings_Oord__class_Oless @t34 @t116 @t277)) % 1.13/1.39 (define @t902 () (tptp.c_Int_Onumber__class_Onumber__of @t34 @t192)) % 1.13/1.39 (define @t903 () (tptp.c_Orderings_Oord__class_Oless @t34 @t762 @t761)) % 1.13/1.39 (define @t904 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t814)) % 1.13/1.39 (define @t905 () (tptp.c_Orderings_Oord__class_Oless @t34 @t122 @t307)) % 1.13/1.39 (define @t906 () (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t307)) % 1.13/1.39 (define @t907 () (tptp.c_Orderings_Oord__class_Oless @t34 @t814 @t307)) % 1.13/1.39 (define @t908 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t122)) % 1.13/1.39 (define @t909 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t21)) % 1.13/1.39 (define @t910 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t201)) % 1.13/1.39 (define @t911 () (tptp.c_Orderings_Oord__class_Oless @t34 @t201 @t307)) % 1.13/1.39 (define @t912 () (not @t375)) % 1.13/1.39 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t21)) % 1.13/1.39 (define @t914 () (tptp.hAPP @t475 @t218)) % 1.13/1.39 (define @t915 () (tptp.hAPP @t476 @t218)) % 1.13/1.39 (define @t916 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t218)) % 1.13/1.39 (define @t917 () (@list @t133 @t130 @t218)) % 1.13/1.39 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t847 @t846)) % 1.13/1.39 (define @t919 () (tptp.c_Orderings_Oord__class_Oless @t34 @t213 @t603)) % 1.13/1.39 (define @t920 () (=> @t436 @t919)) % 1.13/1.39 (define @t921 () (=> @t436 @t836)) % 1.13/1.39 (define @t922 () (=> @t834 @t921)) % 1.13/1.39 (define @t923 () (tptp.class_Rings_Olinordered__semiring @t34)) % 1.13/1.39 (define @t924 () (=> @t831 @t921)) % 1.13/1.39 (define @t925 () (=> @t835 @t402)) % 1.13/1.39 (define @t926 () (not @t351)) % 1.13/1.39 (define @t927 () (or @t926 @t821)) % 1.13/1.39 (define @t928 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t814)) % 1.13/1.39 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t814 @t307)) % 1.13/1.39 (define @t930 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t122 @t28)) % 1.13/1.39 (define @t931 () (tptp.c_Orderings_Oord__class_Oless @t34 @t810 @t930)) % 1.13/1.39 (define @t932 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t28)) % 1.13/1.39 (define @t933 () (@list @t99 @t28 @t122 @t21 @t34)) % 1.13/1.39 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t28 @t99)) % 1.13/1.39 (define @t935 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t307)) % 1.13/1.39 (define @t936 () (tptp.c_Orderings_Oord__class_Oless @t34 @t608 @t607)) % 1.13/1.39 (define @t937 () (not @t849)) % 1.13/1.39 (define @t938 () (tptp.c_Orderings_Oord__class_Oless @t34 @t201 @t207)) % 1.13/1.39 (define @t939 () (not @t853)) % 1.13/1.39 (define @t940 () (tptp.c_Orderings_Oord__class_Oless @t34 @t207 @t201)) % 1.13/1.39 (define @t941 () (tptp.c_Orderings_Oord__class_Oless @t34 @t205 @t773)) % 1.13/1.39 (define @t942 () (tptp.c_Orderings_Oord__class_Oless @t34 @t773 @t205)) % 1.13/1.39 (define @t943 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t151 @t94)) % 1.13/1.39 (define @t944 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t151 @t33)) % 1.13/1.39 (define @t945 () (=> @t839 (tptp.c_Orderings_Oord__class_Oless @t34 @t944 @t943))) % 1.13/1.39 (define @t946 () (tptp.c_Rings_Oinverse__class_Odivide @t34 @t171 @t242)) % 1.13/1.39 (define @t947 () (@var "V_r_2" $$unsorted)) % 1.13/1.39 (define @t948 () (tptp.hAPP @t11 @t218)) % 1.13/1.39 (define @t949 () (@var "V_s" $$unsorted)) % 1.13/1.39 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t613 @t949)) % 1.13/1.39 (define @t951 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t556 @t448)) % 1.13/1.39 (define @t952 () (@list @t949 @t122 @t448 @t21 @t34)) % 1.13/1.39 (define @t953 () (=> @t839 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t944 @t943))) % 1.13/1.39 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t207 @t201)) % 1.13/1.39 (define @t955 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t773 @t205)) % 1.13/1.39 (define @t956 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t201 @t207)) % 1.13/1.39 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t205 @t773)) % 1.13/1.39 (define @t958 () (tptp.c_Orderings_Oord__class_Oless @t34 @t247 @t307)) % 1.13/1.39 (define @t959 () (not @t958)) % 1.13/1.39 (define @t960 () (tptp.c_Orderings_Oord__class_Oless @t34 @t786 @t201)) % 1.13/1.39 (define @t961 () (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t247)) % 1.13/1.39 (define @t962 () (not @t961)) % 1.13/1.39 (define @t963 () (tptp.c_Orderings_Oord__class_Oless @t34 @t201 @t786)) % 1.13/1.39 (define @t964 () (and @t818 @t248)) % 1.13/1.39 (define @t965 () (tptp.c_Orderings_Oord__class_Oless @t34 @t792 @t201)) % 1.13/1.39 (define @t966 () (tptp.c_Orderings_Oord__class_Oless @t34 @t201 @t792)) % 1.13/1.39 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t786 @t201)) % 1.13/1.39 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t201 @t786)) % 1.13/1.39 (define @t969 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t792 @t201)) % 1.13/1.39 (define @t970 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t201 @t792)) % 1.13/1.39 (define @t971 () (and @t818 @t76)) % 1.13/1.39 (define @t972 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t297 @t10)) % 1.13/1.39 (define @t973 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t647 @t369)) % 1.13/1.39 (define @t974 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t252)) % 1.13/1.39 (define @t975 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t106)) % 1.13/1.39 (define @t976 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t268 @t267)) % 1.13/1.39 (define @t977 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t267)) % 1.13/1.39 (define @t978 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t104)) % 1.13/1.39 (define @t979 () (not @t634)) % 1.13/1.39 (define @t980 () (or @t976 @t634)) % 1.13/1.39 (define @t981 () (not @t641)) % 1.13/1.39 (define @t982 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t267 @t268)) % 1.13/1.39 (define @t983 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t216)) % 1.13/1.39 (define @t984 () (@var "V_t" $$unsorted)) % 1.13/1.39 (define @t985 () (@var "V_P_2" $$unsorted)) % 1.13/1.39 (define @t986 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t985 @t267) @t268))) % 1.13/1.39 (define @t987 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t647 @t17)) % 1.13/1.39 (define @t988 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t216 @t369)) % 1.13/1.39 (define @t989 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t267 @t658)) % 1.13/1.39 (define @t990 () (= @t989 (= @t267 @t268))) % 1.13/1.39 (define @t991 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t268 @t337)) % 1.13/1.39 (define @t992 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t164 @t163)) % 1.13/1.39 (define @t993 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t182)) % 1.13/1.39 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t192 @t194)) % 1.13/1.39 (define @t995 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t219 @t313)) % 1.13/1.39 (define @t996 () (@list @t219)) % 1.13/1.39 (define @t997 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t164 tptp.c_Int_OPls)) % 1.13/1.39 (define @t998 () (@var "B_j" $$unsorted)) % 1.13/1.39 (define @t999 () (@var "B_m" $$unsorted)) % 1.13/1.39 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t268)) % 1.13/1.39 (define @t1001 () (@list @t216 @t105)) % 1.13/1.39 (define @t1002 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t164) @t976)) % 1.13/1.39 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t104)) % 1.13/1.39 (define @t1004 () (@var "T_1" $$unsorted)) % 1.13/1.39 (define @t1005 () (@var "T_2" $$unsorted)) % 1.13/1.39 (define @t1006 () (tptp.tc_fun @t1005 @t1004)) % 1.13/1.39 (define @t1007 () (@list @t1005 @t1004)) % 1.13/1.39 (define @t1008 () (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t1009 () (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.13/1.39 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t18 @t14) @t20) (tptp.hAPP (tptp.hAPP @t18 @t7) @t20))) % 1.13/1.39 (define @t1011 () (not @t398)) % 1.13/1.39 (define @t1012 () (not @t402)) % 1.13/1.39 (define @t1013 () (not @t141)) % 1.13/1.39 (define @t1014 () (or @t1012 @t1011 @t469)) % 1.13/1.39 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t14)) % 1.13/1.39 (define @t1016 () (not @t1008)) % 1.13/1.39 (define @t1017 () (or @t1016 @t1015)) % 1.13/1.39 (define @t1018 () (not @t1015)) % 1.13/1.39 (define @t1019 () (not @t15)) % 1.13/1.39 (define @t1020 () (not @t1009)) % 1.13/1.39 (define @t1021 () (or @t1020 @t1019 @t1018 @t1010)) % 1.13/1.39 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.13/1.39 (assume @p2 @t15) % 1.13/1.39 (assume @p3 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t16) @t7)) % 1.13/1.39 (assume @p4 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 @t7)) % 1.13/1.39 (assume @p5 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t7)) % 1.13/1.39 (assume @p6 (forall @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.hAPP (tptp.hAPP @t18 @t10) @t17)))) % 1.13/1.39 (assume @p7 (forall @t27 (= (tptp.hAPP @t26 @t24) (tptp.hAPP (tptp.hAPP @t18 @t22) @t20)))) % 1.13/1.39 (assume @p8 (forall (@list @t28 @t29) (=> (and (tptp.class_Groups_Omonoid__mult @t29) @t32) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t29) @t30) @t20) (tptp.hAPP (tptp.hAPP @t31 @t30) @t30))))) % 1.13/1.39 (assume @p9 (forall @t39 (=> @t38 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t37) @t37)))) % 1.13/1.39 (assume @p10 (forall @t39 (=> @t38 (= (tptp.hAPP @t41 @t20) @t37)))) % 1.13/1.39 (assume @p11 (forall @t45 (=> @t44 (= (tptp.hAPP @t43 @t20) @t42)))) % 1.13/1.39 (assume @p12 (forall @t52 (=> @t51 (= @t50 @t47)))) % 1.13/1.39 (assume @p13 (forall @t39 (=> @t55 (= @t37 @t54)))) % 1.13/1.39 (assume @p14 (forall @t61 (=> @t51 (= (tptp.hAPP @t46 @t60) @t57)))) % 1.13/1.39 (assume @p15 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t62 @t13)) % 1.13/1.39 (assume @p16 (forall @t39 (=> @t55 (= (tptp.hAPP @t36 @t64) (tptp.hAPP (tptp.hAPP @t48 @t54) @t33))))) % 1.13/1.39 (assume @p17 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t62 @t16)) % 1.13/1.39 (assume @p18 (not (= @t66 @t65))) % 1.13/1.39 (assume @p19 (forall @t71 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t35 @t70) @t67) (tptp.hAPP @t46 (tptp.hAPP @t69 @t67)))))) % 1.13/1.39 (assume @p20 (forall @t52 (=> @t51 (= (tptp.hAPP @t46 @t72) @t21)))) % 1.13/1.39 (assume @p21 (= @t73 @t72)) % 1.13/1.39 (assume @p22 (= @t72 @t73)) % 1.13/1.39 (assume @p23 (forall @t77 (=> @t76 (= (tptp.hAPP @t75 @t60) @t42)))) % 1.13/1.39 (assume @p24 (forall @t89 (=> @t51 (= @t88 (tptp.hAPP @t84 (tptp.hAPP @t80 @t78)))))) % 1.13/1.39 (assume @p25 (forall @t89 (=> @t51 (= @t88 (tptp.hAPP @t85 (tptp.hAPP @t87 @t78)))))) % 1.13/1.39 (assume @p26 (forall @t89 (=> @t51 (= @t88 (tptp.hAPP @t83 (tptp.hAPP @t80 @t86)))))) % 1.13/1.39 (assume @p27 (forall @t91 (=> @t51 (= @t90 (tptp.hAPP @t84 @t79))))) % 1.13/1.39 (assume @p28 (forall @t91 (=> @t51 (= @t90 (tptp.hAPP @t83 (tptp.hAPP @t80 @t81)))))) % 1.13/1.39 (assume @p29 (forall @t93 (=> @t51 (= @t92 (tptp.hAPP @t84 @t78))))) % 1.13/1.39 (assume @p30 (forall @t93 (=> @t51 (= @t92 (tptp.hAPP @t85 (tptp.hAPP @t83 @t78)))))) % 1.13/1.39 (assume @p31 (forall @t98 (=> @t51 (= @t97 @t96)))) % 1.13/1.39 (assume @p32 (forall @t103 (=> @t102 (=> @t101 @t100)))) % 1.13/1.39 (assume @p33 (forall @t107 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t105 @t106) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t106 @t104) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t105 @t104))))) % 1.13/1.39 (assume @p34 (forall @t103 (or @t102 @t101))) % 1.13/1.39 (assume @p35 (forall @t108 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28 @t28))) % 1.13/1.39 (assume @p36 (forall @t114 (= (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t113 @t110)) @t109) (tptp.hAPP @t113 (tptp.hAPP @t111 @t109))))) % 1.13/1.39 (assume @p37 (forall @t103 (= (tptp.hAPP @t115 @t28) (tptp.hAPP (tptp.hAPP @t11 @t28) @t99)))) % 1.13/1.39 (assume @p38 (forall @t119 (=> @t55 (= @t118 @t117)))) % 1.13/1.39 (assume @p39 (forall @t39 (=> @t51 @t120))) % 1.13/1.39 (assume @p40 (forall @t39 (=> @t51 @t121))) % 1.13/1.39 (assume @p41 (forall (@list @t67 @t122 @t21 @t34) (=> @t51 (= (tptp.hAPP (tptp.hAPP @t35 @t126) @t67) (tptp.hAPP @t125 (tptp.hAPP @t123 @t67)))))) % 1.13/1.39 (assume @p42 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t11 @t7) @t99) @t99))) % 1.13/1.39 (assume @p43 (forall @t45 (=> @t76 (= @t42 @t128)))) % 1.13/1.39 (assume @p44 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t18 tptp.v_x____) @t20) (tptp.hAPP (tptp.hAPP @t18 tptp.v_y____) @t20)) @t7)) % 1.13/1.39 (assume @p45 (forall @t77 (=> @t129 (= (tptp.c_Groups_Oabs__class_Oabs @t34 (tptp.hAPP @t75 @t17)) @t42)))) % 1.13/1.39 (assume @p46 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t131 @t42) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t130 @t8))))) % 1.13/1.39 (assume @p47 (forall @t135 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t42 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t8 @t133))))) % 1.13/1.39 (assume @p48 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t136 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt @t99)) @t20) @t99))) % 1.13/1.39 (assume @p49 (forall @t45 (=> @t129 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t74) @t42)))) % 1.13/1.39 (assume @p50 (forall @t45 (=> @t76 (= @t128 @t42)))) % 1.13/1.39 (assume @p51 (forall @t39 (=> @t76 (= (tptp.hAPP (tptp.hAPP @t48 @t128) @t33) @t33)))) % 1.13/1.39 (assume @p52 (forall @t39 (=> @t76 (= (tptp.hAPP @t53 @t128) @t33)))) % 1.13/1.39 (assume @p53 (forall @t142 (=> @t141 (=> @t140 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t116 @t138)))))) % 1.13/1.39 (assume @p54 (forall @t119 (=> @t141 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t42 @t116))))) % 1.13/1.39 (assume @p55 (= tptp.v_z (tptp.c_Complex_Ocomplex_OComplex tptp.v_x____ tptp.v_y____))) % 1.13/1.39 (assume @p56 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z) @t7)) % 1.13/1.39 (assume @p57 (forall @t143 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t104) @t104))) % 1.13/1.39 (assume @p58 (forall @t150 (=> @t76 (= @t149 @t147)))) % 1.13/1.39 (assume @p59 (forall (@list @t151 @t33 @t34) (=> @t51 (= @t153 @t152)))) % 1.13/1.39 (assume @p60 (forall @t157 (=> @t51 (= @t156 (tptp.c_Groups_Oplus__class_Oplus @t34 @t151 (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t154)))))) % 1.13/1.39 (assume @p61 (forall @t157 (=> @t51 (= @t156 (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t154))))) % 1.13/1.39 (assume @p62 (forall @t150 (=> @t76 (= @t147 @t149)))) % 1.13/1.39 (assume @p63 (forall @t162 (= (tptp.hAPP (tptp.hAPP @t158 @t161) @t160) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t159)))) % 1.13/1.39 (assume @p64 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t167 @t166) @t165))) % 1.13/1.39 (assume @p65 (forall @t169 (=> @t76 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t146 (tptp.c_Groups_Oplus__class_Oplus @t34 @t144 @t99)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t149 @t99))))) % 1.13/1.39 (assume @p66 (forall @t174 (=> @t51 @t173))) % 1.13/1.39 (assume @p67 (forall @t174 (=> @t51 (= @t172 (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t94))))) % 1.13/1.39 (assume @p68 (forall @t176 (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t171 @t155) (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t175))))) % 1.13/1.39 (assume @p69 (forall @t103 (=> @t178 (=> @t177 @t100)))) % 1.13/1.39 (assume @p70 (forall @t107 (=> @t179 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t104) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t104))))) % 1.13/1.39 (assume @p71 (forall @t103 (or @t178 @t177))) % 1.13/1.39 (assume @p72 (forall @t108 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t28 @t28))) % 1.13/1.39 (assume @p73 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t181 @t180) @t165))) % 1.13/1.39 (assume @p74 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t186 @t185) @t184))) % 1.13/1.39 (assume @p75 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.13/1.39 (assume @p76 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 @t188) @t165))) % 1.13/1.39 (assume @p77 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t191 @t190) @t184))) % 1.13/1.39 (assume @p78 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin)) % 1.13/1.39 (assume @p79 (forall @t197 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t195) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t192 @t194)) @t193)))) % 1.13/1.39 (assume @p80 (forall @t199 (=> @t51 (= (tptp.hAPP @t49 (tptp.c_Groups_Oplus__class_Oplus @t34 @t122 @t99)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t126 @t198))))) % 1.13/1.39 (assume @p81 (forall @t211 (=> @t210 (= (and (not @t209) (not @t208)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t207 (tptp.hAPP @t202 @t204)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t206 @t204) @t203))))))) % 1.13/1.39 (assume @p82 (forall @t174 (=> @t51 @t215))) % 1.13/1.39 (assume @p83 (forall (@list @t94 @t216 @t33 @t34) (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t217 (tptp.hAPP @t95 @t216)) (tptp.hAPP @t214 @t216))))) % 1.13/1.39 (assume @p84 (forall (@list @t218 @t130 @t133 @t219 @t34) (=> @t210 (= (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t223 @t222) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t221 @t218) (tptp.hAPP @t220 @t133))) (or (= @t219 @t130) (= @t133 @t218)))))) % 1.13/1.39 (assume @p85 (forall @t225 (=> @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 @t21) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 @t122))))) % 1.13/1.39 (assume @p86 (forall @t226 (= (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t112 @t110)) @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t113 @t28) (tptp.hAPP @t111 @t28))))) % 1.13/1.39 (assume @p87 (forall @t232 (=> @t231 (= (tptp.hAPP @t228 (tptp.c_Groups_Oplus__class_Oplus @t29 @t94 @t151)) (tptp.c_Groups_Oplus__class_Oplus @t29 @t230 @t229))))) % 1.13/1.39 (assume @p88 (forall @t235 (=> @t231 (= (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Oplus__class_Oplus @t29 @t33 @t94)) @t227) (tptp.c_Groups_Oplus__class_Oplus @t29 @t234 @t233))))) % 1.13/1.39 (assume @p89 (forall @t39 (=> @t76 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t236) @t33)))) % 1.13/1.39 (assume @p90 (forall @t39 (=> @t76 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t236 @t33) @t33)))) % 1.13/1.39 (assume @p91 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t181) @t237))) % 1.13/1.39 (assume @p92 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 @t180) @t165))) % 1.13/1.39 (assume @p93 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t191 @t185) @t184))) % 1.13/1.39 (assume @p94 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t189) @t237))) % 1.13/1.39 (assume @p95 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 tptp.c_Int_OPls)))) % 1.13/1.39 (assume @p96 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t181 tptp.c_Int_OMin) @t239))) % 1.13/1.39 (assume @p97 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t181) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t164)))) % 1.13/1.39 (assume @p98 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OMin))) % 1.13/1.39 (assume @p99 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OPls)) % 1.13/1.39 (assume @p100 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 tptp.c_Int_OMin) @t239))) % 1.13/1.39 (assume @p101 (forall @t241 (=> @t76 (= @t240 (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t28)))))) % 1.13/1.39 (assume @p102 (forall (@list @t145 @t34) (=> @t76 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t146 @t42) (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t145 @t8)))))) % 1.13/1.39 (assume @p103 (forall @t241 (=> @t76 (= (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Int_OBit1 @t28)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t240 @t144))))) % 1.13/1.39 (assume @p104 (forall (@list @t216 @t34) (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t216 @t216) (tptp.hAPP @t243 @t216))))) % 1.13/1.39 (assume @p105 (forall (@list @t33 @t216 @t34) (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t216 @t217) @t245)))) % 1.13/1.39 (assume @p106 (forall (@list @t216 @t33 @t34) (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t217 @t216) @t245)))) % 1.13/1.39 (assume @p107 (forall @t241 (=> @t76 (= (tptp.hAPP @t243 @t144) @t246)))) % 1.13/1.39 (assume @p108 (forall (@list @t130 @t219 @t34) (=> @t248 (= (= @t247 @t130) (= @t130 @t247))))) % 1.13/1.39 (assume @p109 (forall @t250 (=> (and @t76 (tptp.class_Int_Oring__char__0 @t34)) (= (= @t131 @t134) @t249)))) % 1.13/1.39 (assume @p110 (forall @t168 (= (= @t181 @t180) @t251))) % 1.13/1.39 (assume @p111 (forall @t39 (=> @t55 (= (tptp.hAPP @t36 @t72) @t33)))) % 1.13/1.39 (assume @p112 (forall @t108 (= (tptp.hAPP (tptp.hAPP @t158 tptp.c_Int_OPls) @t28) tptp.c_Int_OPls))) % 1.13/1.39 (assume @p113 (forall @t168 (= (= @t189 @t188) @t251))) % 1.13/1.39 (assume @p114 (forall @t255 (= (tptp.hAPP (tptp.hAPP @t158 @t254) @t252) @t253))) % 1.13/1.39 (assume @p115 (forall @t225 (= (tptp.hAPP (tptp.hAPP @t256 @t258) @t99) (tptp.hAPP @t257 (tptp.hAPP (tptp.hAPP @t58 @t122) @t99))))) % 1.13/1.39 (assume @p116 (forall @t262 (=> @t76 (= (tptp.hAPP @t261 @t260) @t259)))) % 1.13/1.39 (assume @p117 (forall @t262 (=> @t76 (= (tptp.hAPP @t263 @t99) @t259)))) % 1.13/1.39 (assume @p118 (forall @t45 (=> @t76 (= @t242 @t260)))) % 1.13/1.39 (assume @p119 (forall @t266 (=> (= @t265 @t264) (or (= @t216 @t264) (= @t216 @t65))))) % 1.13/1.39 (assume @p120 (forall @t269 (= (= (tptp.hAPP (tptp.hAPP @t158 @t268) @t267) @t264) (or (and (= @t268 @t264) (= @t267 @t264)) (and (= @t268 @t65) (= @t267 @t65)))))) % 1.13/1.39 (assume @p121 (forall @t250 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t131 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t130 @t133))))) % 1.13/1.39 (assume @p122 (forall @t150 (=> @t76 (= @t272 @t271)))) % 1.13/1.39 (assume @p123 (forall @t150 (=> @t76 (= @t271 @t272)))) % 1.13/1.39 (assume @p124 (forall @t169 (=> @t76 (= (tptp.hAPP @t270 (tptp.hAPP (tptp.hAPP @t48 @t144) @t99)) (tptp.hAPP (tptp.hAPP @t48 @t272) @t99))))) % 1.13/1.39 (assume @p125 (forall @t119 (=> @t55 (= @t275 @t273)))) % 1.13/1.39 (assume @p126 (forall @t279 (=> @t278 (= (tptp.hAPP (tptp.hAPP @t35 @t97) @t17) (tptp.hAPP @t274 @t277))))) % 1.13/1.39 (assume @p127 (forall @t77 (=> @t55 (= (tptp.hAPP @t43 @t17) @t42)))) % 1.13/1.39 (assume @p128 (forall @t284 (=> @t76 (= (tptp.hAPP (tptp.hAPP @t35 @t283) @t20) (tptp.c_Groups_Oplus__class_Oplus @t34 @t282 @t280))))) % 1.13/1.39 (assume @p129 (forall @t286 (not (= tptp.c_Int_OPls @t285)))) % 1.13/1.39 (assume @p130 (forall @t143 (not (= @t287 tptp.c_Int_OPls)))) % 1.13/1.39 (assume @p131 (= @t264 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t8))) % 1.13/1.39 (assume @p132 (forall @t255 (not (= @t254 @t285)))) % 1.13/1.39 (assume @p133 (forall @t255 (not (= @t287 @t288)))) % 1.13/1.39 (assume @p134 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.13/1.39 (assume @p135 (forall @t289 (= (= tptp.c_Int_OPls @t188) (= tptp.c_Int_OPls @t163)))) % 1.13/1.39 (assume @p136 (forall @t238 (= (= @t189 tptp.c_Int_OPls) (= @t164 tptp.c_Int_OPls)))) % 1.13/1.39 (assume @p137 (forall @t293 (=> @t55 (= (tptp.hAPP @t36 @t292) (tptp.hAPP (tptp.hAPP @t35 @t290) @t17))))) % 1.13/1.39 (assume @p138 (forall @t119 (=> @t38 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t116) @t294)))) % 1.13/1.39 (assume @p139 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 1.13/1.39 (assume @p140 (forall @t289 (= (= tptp.c_Int_OMin @t180) (= tptp.c_Int_OMin @t163)))) % 1.13/1.39 (assume @p141 (forall @t238 (= (= @t181 tptp.c_Int_OMin) (= @t164 tptp.c_Int_OMin)))) % 1.13/1.39 (assume @p142 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 1.13/1.39 (assume @p143 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 1.13/1.39 (assume @p144 (forall @t286 (not (= tptp.c_Int_OMin @t288)))) % 1.13/1.39 (assume @p145 (forall @t143 (not (= @t254 tptp.c_Int_OMin)))) % 1.13/1.39 (assume @p146 (forall @t298 (= (tptp.hAPP (tptp.hAPP @t18 @t297) @t20) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t296 (tptp.hAPP (tptp.hAPP @t11 @t22) @t122))))) % 1.13/1.39 (assume @p147 (not (forall (@list @t3 @t299) (not (= tptp.v_z (tptp.c_Complex_Ocomplex_OComplex @t3 @t299)))))) % 1.13/1.39 (assume @p148 (forall @t98 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t171) @t301)))) % 1.13/1.39 (assume @p149 (forall @t52 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t21)))) % 1.13/1.39 (assume @p150 (forall @t77 (=> @t76 (= (tptp.hAPP @t75 @t304) @t74)))) % 1.13/1.39 (assume @p151 (forall @t45 (=> @t305 (= @t35 (tptp.c_Power_Opower_Opower @t34 @t42 @t48))))) % 1.13/1.39 (assume @p152 (forall @t284 (=> @t76 (= (tptp.hAPP (tptp.hAPP @t35 @t306) @t20) (tptp.c_Groups_Ominus__class_Ominus @t34 @t282 @t280))))) % 1.13/1.39 (assume @p153 (forall @t119 (=> @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t118)))) % 1.13/1.39 (assume @p154 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t309 @t308))) % 1.13/1.39 (assume @p155 (forall @t311 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t310 @t308))) % 1.13/1.39 (assume @p156 (forall @t284 (=> @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t282)))) % 1.13/1.39 (assume @p157 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_z @t312)))) % 1.13/1.39 (assume @p158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z @t312)))) % 1.13/1.39 (assume @p159 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex tptp.v_z tptp.c_Complex_Oii)))) % 1.13/1.39 (assume @p160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_z tptp.c_Complex_Oii)))) % 1.13/1.39 (assume @p161 (not (= @t313 @t264))) % 1.13/1.39 (assume @p162 (forall @t127 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t264 @t99) @t99) @t313)))) % 1.13/1.39 (assume @p163 (forall @t150 (=> @t76 (= (tptp.c_Int_Onumber__class_Onumber__of @t34 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t145 @t28)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t146 @t144))))) % 1.13/1.39 (assume @p164 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t158 @t264) @t99) @t99))) % 1.13/1.39 (assume @p165 (forall @t127 (= (tptp.hAPP @t314 @t264) @t99))) % 1.13/1.39 (assume @p166 (forall @t103 (= (tptp.hAPP @t314 @t28) (tptp.hAPP @t315 @t99)))) % 1.13/1.39 (assume @p167 (forall @t266 (and (=> @t319 (= @t317 @t17)) (=> @t320 (= @t317 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t316 @t17))))))) % 1.13/1.39 (assume @p168 (forall @t225 (= (tptp.hAPP @t257 @t321) (tptp.hAPP (tptp.hAPP @t158 @t258) (tptp.hAPP @t257 @t99))))) % 1.13/1.39 (assume @p169 (forall @t325 (= (tptp.hAPP @t315 @t324) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t323 @t322)))) % 1.13/1.39 (assume @p170 (forall @t325 (= (tptp.hAPP @t315 @t326) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t323 @t322)))) % 1.13/1.39 (assume @p171 (forall @t19 (= (tptp.hAPP (tptp.hAPP @t328 @t327) @t17) @t327))) % 1.13/1.39 (assume @p172 (forall @t114 (= (tptp.hAPP (tptp.hAPP @t158 (tptp.hAPP @t330 @t110)) @t109) (tptp.hAPP @t330 (tptp.hAPP @t329 @t109))))) % 1.13/1.39 (assume @p173 (forall @t226 (= (tptp.hAPP (tptp.hAPP @t158 @t324) @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t332 @t331)))) % 1.13/1.39 (assume @p174 (forall @t226 (= (tptp.hAPP (tptp.hAPP @t158 @t326) @t28) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t332 @t331)))) % 1.13/1.39 (assume @p175 (forall (@list @t268 @t130) (= (= (tptp.hAPP (tptp.hAPP @t328 @t130) @t268) @t327) (or @t333 (= @t130 @t327))))) % 1.13/1.39 (assume @p176 (forall @t266 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t265) @t264) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t216) @t264)))) % 1.13/1.39 (assume @p177 (forall (@list @t267 @t205 @t334 @t335 @t34) (= (tptp.hAPP @t336 @t337) (tptp.hAPP (tptp.hAPP @t334 @t205) (tptp.hAPP @t336 @t267))))) % 1.13/1.39 (assume @p178 (forall (@list @t205 @t334 @t335 @t34) (= (tptp.hAPP @t336 @t318) @t335))) % 1.13/1.39 (assume @p179 (forall @t340 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t339 @t338) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t33 @t151) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t94 @t154))))) % 1.13/1.39 (assume @p180 (forall @t114 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t324 @t109) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t112 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t110 @t109))))) % 1.13/1.39 (assume @p181 (forall @t345 (= (= @t344 @t343) (and (= @t205 @t341) @t342)))) % 1.13/1.39 (assume @p182 (forall @t346 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t94 @t33)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t94)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t33)))) % 1.13/1.39 (assume @p183 (forall @t225 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 @t99)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t99))))) % 1.13/1.39 (assume @p184 (forall @t350 (=> @t349 (= @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t347 @t307))))) % 1.13/1.39 (assume @p185 (forall @t103 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t99 @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t28 @t99)))) % 1.13/1.39 (assume @p186 (forall @t127 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t99 @t313) @t99))) % 1.13/1.39 (assume @p187 (forall @t127 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t313 @t99) @t99))) % 1.13/1.39 (assume @p188 (= @t343 (tptp.c_Complex_Ocomplex_OComplex @t341 @t341))) % 1.13/1.39 (assume @p189 (forall @t132 (=> (tptp.class_Groups_Ozero @t34) (= (= @t307 @t130) @t351)))) % 1.13/1.39 (assume @p190 (forall @t39 (=> @t352 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t33 @t307) @t33)))) % 1.13/1.39 (assume @p191 (forall @t39 (=> @t352 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t33 @t33) @t307)))) % 1.13/1.39 (assume @p192 (forall @t350 (=> @t354 (= @t209 @t353)))) % 1.13/1.39 (assume @p193 (forall @t350 (=> @t352 (= @t353 @t209)))) % 1.13/1.39 (assume @p194 (forall @t211 (=> @t354 (=> @t355 (= @t209 @t208))))) % 1.13/1.39 (assume @p195 (forall @t358 (= (= @t357 @t356) @t249))) % 1.13/1.39 (assume @p196 (forall @t360 (= (= @t357 @t341) @t359))) % 1.13/1.39 (assume @p197 (= (tptp.c_NthRoot_Osqrt @t341) @t341)) % 1.13/1.39 (assume @p198 (forall @t362 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t356) @t361))) % 1.13/1.39 (assume @p199 (forall @t360 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t357 @t341) @t363))) % 1.13/1.39 (assume @p200 (forall @t27 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t364)))) % 1.13/1.39 (assume @p201 (forall @t27 (=> @t365 (=> @t367 @t366)))) % 1.13/1.39 (assume @p202 (forall @t358 (= @t368 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t130 @t133) @t341)))) % 1.13/1.39 (assume @p203 (forall @t266 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t369) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t316 @t17)))) % 1.13/1.39 (assume @p204 (forall @t77 (=> @t371 (= (tptp.hAPP @t370 @t369) @t307)))) % 1.13/1.39 (assume @p205 (forall @t19 (= @t369 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t72)))) % 1.13/1.39 (assume @p206 (forall @t19 (= @t369 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t17)))) % 1.13/1.39 (assume @p207 (forall @t372 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 @t105) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 (tptp.hAPP (tptp.hAPP @t328 @t105) @t17))))) % 1.13/1.39 (assume @p208 (forall @t211 (=> @t349 (=> @t355 (= @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t200 @t204)))))) % 1.13/1.39 (assume @p209 (forall (@list @t267 @t205 @t34) (=> @t381 (= (= @t377 @t307) (and @t375 @t374))))) % 1.13/1.39 (assume @p210 (forall @t98 (=> @t352 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t382 @t94) @t33)))) % 1.13/1.39 (assume @p211 (forall @t98 (=> @t352 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t171 @t94) @t33)))) % 1.13/1.39 (assume @p212 (forall @t98 (=> @t302 (= @t385 @t384)))) % 1.13/1.39 (assume @p213 (forall @t39 (=> @t387 @t386))) % 1.13/1.39 (assume @p214 (forall @t39 (=> @t388 @t386))) % 1.13/1.39 (assume @p215 (forall @t391 (=> @t390 (= (= @t307 @t389) @t375)))) % 1.13/1.39 (assume @p216 (forall @t39 (=> @t387 @t392))) % 1.13/1.39 (assume @p217 (forall @t39 (=> @t388 @t392))) % 1.13/1.39 (assume @p218 (forall @t266 (and (=> @t319 (= @t292 @t318)) (=> @t320 (= @t292 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 (tptp.hAPP (tptp.hAPP @t58 @t316) @t17))))))) % 1.13/1.39 (assume @p219 (forall @t391 (=> @t302 (= (= @t393 @t307) @t375)))) % 1.13/1.39 (assume @p220 (forall @t45 (=> @t302 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t307) @t307)))) % 1.13/1.39 (assume @p221 (forall @t284 (=> (tptp.class_Rings_Ocomm__ring__1 @t34) (= (tptp.c_Groups_Ominus__class_Ominus @t34 (tptp.hAPP @t46 @t395) (tptp.hAPP @t123 @t395)) (tptp.hAPP @t394 @t283))))) % 1.13/1.39 (assume @p222 (forall (@list @t99 @t28) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t28) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t28 @t99)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t99))))) % 1.13/1.39 (assume @p223 (forall @t401 (=> @t141 (=> (= @t400 @t399) (=> @t398 (=> @t397 @t396)))))) % 1.13/1.39 (assume @p224 (forall @t401 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t400 @t399) (=> @t397 @t402))))) % 1.13/1.39 (assume @p225 (forall @t298 (=> @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t364 @t403)))) % 1.13/1.39 (assume @p226 (forall @t358 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t357 @t356) @t368))) % 1.13/1.39 (assume @p227 (forall @t77 (=> @t371 (and (=> @t405 (= @t404 @t42)) (=> @t406 (= @t404 @t307)))))) % 1.13/1.39 (assume @p228 (forall (@list @t68 @t216) (and (=> @t319 (= @t408 @t72)) (=> @t320 (= @t408 (tptp.hAPP @t69 (tptp.hAPP @t407 @t316))))))) % 1.13/1.39 (assume @p229 (forall @t298 (= (tptp.c_NthRoot_Osqrt @t410) (tptp.hAPP (tptp.hAPP @t11 @t364) @t403)))) % 1.13/1.39 (assume @p230 (forall (@list @t104 @t21) (= (tptp.c_NthRoot_Osqrt (tptp.hAPP @t23 @t104)) (tptp.hAPP @t411 @t104)))) % 1.13/1.39 (assume @p231 (forall @t360 (= (= @t357 @t7) (= @t130 @t7)))) % 1.13/1.39 (assume @p232 (= (tptp.c_NthRoot_Osqrt @t7) @t7)) % 1.13/1.39 (assume @p233 (forall @t143 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t104 tptp.c_Int_OPls) @t104))) % 1.13/1.39 (assume @p234 (forall @t255 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t254 @t288) @t413))) % 1.13/1.39 (assume @p235 (forall @t143 (= @t287 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t264 @t104) @t104)))) % 1.13/1.39 (assume @p236 (forall @t143 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t104 tptp.c_Int_OPls) @t104))) % 1.13/1.39 (assume @p237 (forall @t143 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t104) @t104))) % 1.13/1.39 (assume @p238 (forall @t255 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t254 @t288) (tptp.c_Int_OBit0 @t414)))) % 1.13/1.39 (assume @p239 (forall @t143 (= @t254 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t104 @t104)))) % 1.13/1.39 (assume @p240 (forall @t107 (=> @t179 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t104 @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t104 @t106))))) % 1.13/1.39 (assume @p241 (forall @t162 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t161 @t160) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t148)))) % 1.13/1.39 (assume @p242 (forall @t39 (=> @t51 @t415))) % 1.13/1.39 (assume @p243 (forall @t39 (=> @t51 @t417))) % 1.13/1.39 (assume @p244 (forall @t391 (=> @t390 (= (= @t389 @t307) @t375)))) % 1.13/1.39 (assume @p245 (forall @t419 (=> @t210 (= (= @t201 @t418) @t375)))) % 1.13/1.39 (assume @p246 (forall @t39 (=> @t51 @t392))) % 1.13/1.39 (assume @p247 (forall @t39 (=> @t51 @t386))) % 1.13/1.39 (assume @p248 (forall @t119 (=> @t422 (=> @t421 (not (= @t116 @t307)))))) % 1.13/1.39 (assume @p249 (= tptp.c_Int_OPls @t313)) % 1.13/1.39 (assume @p250 (forall @t423 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.hAPP (tptp.hAPP @t256 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t21)) @t17)))) % 1.13/1.39 (assume @p251 (forall @t98 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t424 @t384)))) % 1.13/1.39 (assume @p252 (forall @t98 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t424 @t385)))) % 1.13/1.39 (assume @p253 (forall @t98 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t424) @t385)))) % 1.13/1.39 (assume @p254 (forall @t427 (=> @t426 (= (= (tptp.hAPP @t425 @t205) (tptp.hAPP @t425 @t201)) @t209)))) % 1.13/1.39 (assume @p255 (forall @t427 (=> @t426 (= (= (tptp.hAPP (tptp.hAPP @t11 @t205) @t200) (tptp.hAPP (tptp.hAPP @t11 @t201) @t200)) @t209)))) % 1.13/1.39 (assume @p256 (not (= @t341 @t7))) % 1.13/1.39 (assume @p257 (forall @t391 (=> @t390 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t389) @t428)))) % 1.13/1.39 (assume @p258 (forall @t391 (=> @t390 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t389 @t307) @t429)))) % 1.13/1.39 (assume @p259 (forall @t98 (=> @t430 (=> @t398 (=> @t397 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t171)))))) % 1.13/1.39 (assume @p260 (forall @t250 (=> @t430 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t130) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t133) (= (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t130 @t133) @t307) @t432)))))) % 1.13/1.39 (assume @p261 (forall @t174 (=> @t430 (=> @t398 (=> @t434 @t433))))) % 1.13/1.39 (assume @p262 (forall @t437 (=> @t430 (=> @t436 (=> @t435 @t433))))) % 1.13/1.39 (assume @p263 (forall @t98 (=> @t430 (=> @t439 (=> @t438 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t171 @t307)))))) % 1.13/1.39 (assume @p264 (forall @t39 (=> @t302 (=> @t398 @t440)))) % 1.13/1.39 (assume @p265 (forall @t391 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t393 @t307) @t375)))) % 1.13/1.39 (assume @p266 @t442) % 1.13/1.39 (assume @p267 (forall @t340 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t339 @t338) (tptp.c_Complex_Ocomplex_OComplex @t444 @t443)))) % 1.13/1.39 (assume @p268 (forall @t19 (= (tptp.c_Nat_OSuc @t445) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t64 @t17)))) % 1.13/1.39 (assume @p269 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t447))) % 1.13/1.39 (assume @p270 (forall (@list @t17 @t448 @t34) (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t448) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t448 @t42) (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.hAPP (tptp.hAPP @t35 @t448) @t369) @t448)))))) % 1.13/1.39 (assume @p271 (= @t64 (tptp.c_Nat_OSuc @t395))) % 1.13/1.39 (assume @p272 (= @t73 @t327)) % 1.13/1.39 (assume @p273 (forall (@list @t219 @t201 @t205) (= (= @t344 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t219)) (and (= @t205 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t219)) @t342)))) % 1.13/1.39 (assume @p274 (forall @t345 (= (= @t344 @t312) (and (= @t205 @t7) @t342)))) % 1.13/1.39 (assume @p275 (= @t312 (tptp.c_Complex_Ocomplex_OComplex @t7 @t341))) % 1.13/1.39 (assume @p276 (forall @t19 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t20 @t17) @t445))) % 1.13/1.39 (assume @p277 (forall @t19 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t20) @t445))) % 1.13/1.39 (assume @p278 (forall @t27 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t21) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t364)))) % 1.13/1.39 (assume @p279 (forall @t360 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t357 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t130 @t7)))) % 1.13/1.39 (assume @p280 (forall @t362 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t356) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t133)))) % 1.13/1.39 (assume @p281 (forall @t454 (=> @t453 (= @t452 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t49 @t451) @t450))))) % 1.13/1.39 (assume @p282 (forall @t235 (=> @t455 (= (tptp.hAPP (tptp.hAPP @t31 (tptp.c_Groups_Ominus__class_Ominus @t29 @t33 @t94)) @t227) (tptp.c_Groups_Ominus__class_Ominus @t29 @t234 @t233))))) % 1.13/1.39 (assume @p283 (forall @t232 (=> @t455 (= (tptp.hAPP @t228 (tptp.c_Groups_Ominus__class_Ominus @t29 @t94 @t151)) (tptp.c_Groups_Ominus__class_Ominus @t29 @t230 @t229))))) % 1.13/1.39 (assume @p284 (forall (@list @t151 @t28 @t145 @t34) (=> @t76 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t146 (tptp.c_Groups_Ominus__class_Ominus @t34 @t144 @t151)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t149 @t151))))) % 1.13/1.39 (assume @p285 (forall @t176 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t458) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t457) (tptp.c_Groups_Oabs__class_Oabs @t34 @t456)))))) % 1.13/1.39 (assume @p286 (forall @t98 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t385 @t301)))) % 1.13/1.39 (assume @p287 (forall @t27 (= (tptp.c_NthRoot_Osqrt @t446) @t309))) % 1.13/1.39 (assume @p288 (= @t20 @t395)) % 1.13/1.39 (assume @p289 (= @t395 @t20)) % 1.13/1.39 (assume @p290 (forall @t255 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t287 @t285) @t413))) % 1.13/1.39 (assume @p291 (forall @t255 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t287 @t288) (tptp.c_Int_OBit1 @t412)))) % 1.13/1.39 (assume @p292 (forall @t286 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t288) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t252))))) % 1.13/1.39 (assume @p293 (forall @t460 (=> @t51 (= (tptp.hAPP @t125 @t21) @t459)))) % 1.13/1.39 (assume @p294 (forall @t460 (=> @t51 (= @t461 @t459)))) % 1.13/1.39 (assume @p295 (forall @t460 (=> @t51 (= @t459 @t461)))) % 1.13/1.39 (assume @p296 (forall @t119 (=> @t55 (= @t400 @t275)))) % 1.13/1.39 (assume @p297 (forall @t119 (=> @t305 (= @t400 @t273)))) % 1.13/1.39 (assume @p298 (forall @t71 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t48 @t70) @t124) (tptp.hAPP @t46 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t68 @t67)))))) % 1.13/1.39 (assume @p299 (forall @t293 (=> @t55 (= (tptp.hAPP @t36 @t317) (tptp.hAPP (tptp.hAPP @t48 @t290) @t116))))) % 1.13/1.39 (assume @p300 (forall @t255 (= (tptp.hAPP (tptp.hAPP @t158 @t287) @t252) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t253 @t252)))) % 1.13/1.39 (assume @p301 (forall @t255 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t287 @t288) @t462))) % 1.13/1.39 (assume @p302 (forall @t255 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t254 @t285) @t462))) % 1.13/1.39 (assume @p303 (forall @t250 (=> @t464 (= (= @t463 @t307) @t432)))) % 1.13/1.39 (assume @p304 (forall (@list @t154 @t151 @t94 @t33 @t448 @t34) (=> @t210 (=> (not (= @t448 @t307)) (=> (and @t396 (not (= @t151 @t154))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 (tptp.hAPP @t465 @t151)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t94 (tptp.hAPP @t465 @t154))))))))) % 1.13/1.39 (assume @p305 (forall @t340 (= (tptp.hAPP (tptp.hAPP @t468 @t339) @t338) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t467 @t151) (tptp.hAPP @t466 @t154)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t467 @t154) (tptp.hAPP @t466 @t151)))))) % 1.13/1.39 (assume @p306 @t472) % 1.13/1.39 (assume @p307 (forall @t119 (=> @t141 (=> @t398 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t116))))) % 1.13/1.39 (assume @p308 (forall @t45 (=> @t76 (= @t307 @t236)))) % 1.13/1.39 (assume @p309 (forall @t45 (=> @t76 (= @t236 @t307)))) % 1.13/1.39 (assume @p310 (forall @t52 (=> @t51 (= (tptp.hAPP @t46 @t318) @t42)))) % 1.13/1.39 (assume @p311 (forall @t39 (=> @t305 (= (tptp.hAPP @t36 @t318) @t42)))) % 1.13/1.39 (assume @p312 (= @t473 @t318)) % 1.13/1.39 (assume @p313 (= @t318 @t473)) % 1.13/1.39 (assume @p314 (= @t313 @t66)) % 1.13/1.39 (assume @p315 (forall @t358 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t477 (tptp.hAPP @t475 @t133)) @t341) @t474))) % 1.13/1.39 (assume @p316 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t478)) % 1.13/1.39 (assume @p317 (forall @t298 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Complex_Ocomplex_OComplex @t21 @t122)) @t308))) % 1.13/1.39 (assume @p318 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t447))) % 1.13/1.39 (assume @p319 (forall @t311 (=> (= @t295 @t21) (=> @t479 (= @t364 @t122))))) % 1.13/1.39 (assume @p320 (forall @t27 (=> @t365 (= @t480 @t21)))) % 1.13/1.39 (assume @p321 (forall @t360 (= (= (tptp.hAPP (tptp.hAPP @t18 @t357) @t20) @t130) @t481))) % 1.13/1.39 (assume @p322 (forall @t52 (=> (tptp.class_Rings_Oring__1 @t34) (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t50 @t42) (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oplus__class_Oplus @t34 @t21 @t42)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t21 @t42)))))) % 1.13/1.39 (assume @p323 (forall @t298 (=> (= @t308 @t122) @t366))) % 1.13/1.39 (assume @p324 (forall @t298 (=> (= @t308 @t21) (= @t122 @t341)))) % 1.13/1.39 (assume @p325 (forall @t286 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t285) @t483))) % 1.13/1.39 (assume @p326 (forall @t286 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t285) (tptp.c_Int_OBit0 @t482)))) % 1.13/1.39 (assume @p327 (forall @t286 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t288) @t483))) % 1.13/1.39 (assume @p328 (forall @t250 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t463 @t307) @t432)))) % 1.13/1.39 (assume @p329 (forall @t284 (=> @t486 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t485)))) % 1.13/1.39 (assume @p330 (forall @t284 (=> @t489 (=> (not @t488) @t487)))) % 1.13/1.39 (assume @p331 (forall (@list @t130 @t1 @t2 @t34 @t29) (=> @t492 (=> @t491 (tptp.c_Orderings_Oord__class_Oless__eq @t29 (tptp.hAPP @t2 @t130) (tptp.hAPP @t1 @t130)))))) % 1.13/1.39 (assume @p332 (forall @t495 (=> @t494 (=> @t487 (=> @t493 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t99 @t21)))))) % 1.13/1.39 (assume @p333 (forall @t497 (=> @t494 (=> @t487 (=> @t488 @t496))))) % 1.13/1.39 (assume @p334 (forall @t199 (=> @t303 (=> @t488 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t99)))))) % 1.13/1.39 (assume @p335 (forall @t284 (=> @t494 (=> @t488 (=> @t487 @t496))))) % 1.13/1.39 (assume @p336 (forall @t501 (=> @t494 (=> @t435 (=> @t500 @t499))))) % 1.13/1.39 (assume @p337 (forall @t174 (=> @t503 (=> @t402 (=> @t500 @t502))))) % 1.13/1.39 (assume @p338 (forall @t174 (=> @t494 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t151 @t94) @t499))))) % 1.13/1.39 (assume @p339 (forall @t174 (=> @t503 (=> @t396 (=> @t434 @t502))))) % 1.13/1.39 (assume @p340 (forall @t507 (=> @t494 (=> @t506 @t505)))) % 1.13/1.39 (assume @p341 (forall @t284 (=> @t303 (=> @t496 @t488)))) % 1.13/1.39 (assume @p342 (forall @t250 (=> @t494 (= @t249 (and @t504 @t506))))) % 1.13/1.39 (assume @p343 (forall @t284 (=> @t489 (or @t488 @t487)))) % 1.13/1.39 (assume @p344 (forall @t508 (=> @t492 (= @t491 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t5 @t4)))))) % 1.13/1.39 (assume @p345 (forall @t174 (=> (tptp.class_Groups_Oab__semigroup__mult @t34) (= (tptp.hAPP (tptp.hAPP @t48 @t97) @t151) (tptp.hAPP @t53 @t212))))) % 1.13/1.39 (assume @p346 (forall @t241 (=> @t76 (= @t246 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t307 @t144) @t144))))) % 1.13/1.39 (assume @p347 (forall @t174 (=> (tptp.class_Groups_Oab__semigroup__add @t34) @t173))) % 1.13/1.39 (assume @p348 (forall @t512 (=> @t511 (= (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t205 @t201) @t510) @t509)))) % 1.13/1.39 (assume @p349 (forall (@list @t200 @t205 @t201 @t34) (=> @t511 (= (= @t418 @t513) @t509)))) % 1.13/1.39 (assume @p350 (forall @t174 (=> @t511 @t514))) % 1.13/1.39 (assume @p351 (forall @t174 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t34) @t514))) % 1.13/1.39 (assume @p352 (forall @t501 (=> @t511 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t94 @t33) @t152) @t500)))) % 1.13/1.39 (assume @p353 (forall @t119 (=> @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t294)))) % 1.13/1.39 (assume @p354 (forall @t132 (=> (tptp.class_Groups_Oone @t34) (= (= @t42 @t130) (= @t130 @t42))))) % 1.13/1.39 (assume @p355 (forall @t515 (= (= @t196 @t318) @t193))) % 1.13/1.39 (assume @p356 (forall @t515 (= (= @t318 @t196) @t193))) % 1.13/1.39 (assume @p357 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t308))) % 1.13/1.39 (assume @p358 (forall @t39 (=> @t302 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t40) @t40)))) % 1.13/1.39 (assume @p359 (forall @t119 (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t516) @t398)))) % 1.13/1.39 (assume @p360 (forall (@list @t517 @t519 @t518 @t520) (= (= @t521 (tptp.c_Complex_Ocomplex_OComplex @t519 @t517)) (and (= @t520 @t519) (= @t518 @t517))))) % 1.13/1.39 (assume @p361 (forall @t526 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t525))) % 1.13/1.39 (assume @p362 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t131 @t307) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t130 tptp.c_Int_OPls))))) % 1.13/1.39 (assume @p363 (forall @t135 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t133))))) % 1.13/1.39 (assume @p364 (forall @t142 (=> @t141 (=> @t140 (=> @t398 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t42) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t138 @t116))))))) % 1.13/1.39 (assume @p365 (forall @t127 (= (tptp.hAPP @t59 @t99) @t527))) % 1.13/1.39 (assume @p366 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t58 @t99) @t20) @t527))) % 1.13/1.39 (assume @p367 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t72) @t20)) % 1.13/1.39 (assume @p368 (forall @t391 (=> @t422 (= (= @t528 @t307) @t375)))) % 1.13/1.39 (assume @p369 (forall @t45 (=> @t44 (= (tptp.hAPP @t370 @t20) @t307)))) % 1.13/1.39 (assume @p370 (forall @t27 (= (tptp.c_NthRoot_Osqrt @t24) @t309))) % 1.13/1.39 (assume @p371 (forall @t284 (=> @t141 (=> (= @t47 @t281) (=> @t530 (=> @t529 @t496)))))) % 1.13/1.39 (assume @p372 (forall @t284 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t47 @t281) (=> @t529 @t488))))) % 1.13/1.39 (assume @p373 (forall @t39 (=> @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t37)))) % 1.13/1.39 (assume @p374 (forall @t250 (=> @t38 (= (= @t531 @t307) @t432)))) % 1.13/1.39 (assume @p375 (forall (@list @t154 @t94 @t151 @t33) (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 @t18 @t444) @t20) (tptp.hAPP (tptp.hAPP @t18 @t443) @t20))) (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 @t18 @t33) @t20) (tptp.hAPP (tptp.hAPP @t18 @t94) @t20))) (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t18 @t151) @t20) (tptp.hAPP (tptp.hAPP @t18 @t154) @t20))))))) % 1.13/1.39 (assume @p376 (forall @t311 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t122 @t308))) % 1.13/1.39 (assume @p377 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21 @t308))) % 1.13/1.39 (assume @p378 (forall @t526 (= (tptp.hAPP (tptp.hAPP @t18 @t525) @t20) @t524))) % 1.13/1.39 (assume @p379 (forall @t358 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t18 @t130) @t20) (tptp.hAPP (tptp.hAPP @t18 @t133) @t20)) @t341) @t474))) % 1.13/1.39 (assume @p380 (forall @t535 (=> @t534 (=> @t533 @t402)))) % 1.13/1.39 (assume @p381 (forall @t537 (=> @t534 (=> @t536 @t402)))) % 1.13/1.39 (assume @p382 (forall @t176 (=> @t539 (=> @t402 (=> @t538 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t175)))))) % 1.13/1.39 (assume @p383 (forall @t174 (=> @t539 (=> @t402 @t533)))) % 1.13/1.39 (assume @p384 (forall @t174 (=> @t539 (=> @t402 @t536)))) % 1.13/1.39 (assume @p385 (forall @t541 (=> @t534 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t513 @t540) @t348)))) % 1.13/1.39 (assume @p386 (forall @t543 (=> @t534 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t510 @t542) @t348)))) % 1.13/1.39 (assume @p387 (forall @t39 (=> @t278 @t120))) % 1.13/1.39 (assume @p388 (forall @t39 (=> @t55 @t120))) % 1.13/1.39 (assume @p389 (forall @t39 (=> @t278 @t121))) % 1.13/1.39 (assume @p390 (forall @t39 (=> @t55 @t121))) % 1.13/1.39 (assume @p391 (forall @t98 (=> @t302 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t40 @t94) @t402)))) % 1.13/1.39 (assume @p392 (forall @t39 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t33 @t40)))) % 1.13/1.39 (assume @p393 (forall @t98 (=> @t302 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t301) @t301)))) % 1.13/1.39 (assume @p394 (forall @t61 (=> @t51 (= (tptp.hAPP @t46 @t304) (tptp.hAPP @t49 @t57))))) % 1.13/1.39 (assume @p395 (forall @t119 (=> @t55 (= @t516 (tptp.hAPP @t53 @t117))))) % 1.13/1.39 (assume @p396 (forall @t250 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t531 @t307) @t432)))) % 1.13/1.39 (assume @p397 (forall (@list @t104 @t33 @t34) (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.hAPP @t36 (tptp.hAPP @t59 @t104)) @t307) @t420)))) % 1.13/1.39 (assume @p398 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t9))) % 1.13/1.39 (assume @p399 (forall @t176 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t458) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t457) (tptp.c_RealVector_Onorm__class_Onorm @t34 @t456)))))) % 1.13/1.39 (assume @p400 (forall @t550 (=> (tptp.class_Rings_Olinordered__semiring__1 @t34) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t33) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t122 @t33) (=> @t549 (=> @t548 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t546 @t33))))))))) % 1.13/1.39 (assume @p401 (forall @t241 (=> (and @t76 @t551) (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t144) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t28)))))) % 1.13/1.39 (assume @p402 (forall @t98 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t555) @t552)))) % 1.13/1.39 (assume @p403 (forall @t61 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t558 @t557)))) % 1.13/1.39 (assume @p404 (forall @t98 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t552 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t554 @t553))))) % 1.13/1.39 (assume @p405 (not (= tptp.c_Complex_Oii @t312))) % 1.13/1.39 (assume @p406 (forall @t108 (not (= tptp.c_Complex_Oii (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t28))))) % 1.13/1.39 (assume @p407 (not (= tptp.c_Complex_Oii @t343))) % 1.13/1.39 (assume @p408 (forall (@list @t448) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t448) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t448)))) % 1.13/1.39 (assume @p409 (= (tptp.hAPP (tptp.hAPP @t468 tptp.c_Complex_Oii) tptp.c_Complex_Oii) @t559)) % 1.13/1.39 (assume @p410 (forall @t358 (= (= (tptp.c_Complex_Ocomplex_OComplex @t130 @t133) tptp.c_Complex_Oii) (and @t359 (= @t133 @t7))))) % 1.13/1.39 (assume @p411 (= tptp.c_Complex_Oii (tptp.c_Complex_Ocomplex_OComplex @t341 @t7))) % 1.13/1.39 (assume @p412 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 @t313)) % 1.13/1.39 (assume @p413 (forall @t39 (=> @t380 @t417))) % 1.13/1.39 (assume @p414 (forall (@list @t94 @t34) (=> @t560 (= (tptp.hAPP @t416 @t94) @t307)))) % 1.13/1.39 (assume @p415 (forall @t561 (=> @t560 (= (tptp.hAPP @t416 @t122) @t307)))) % 1.13/1.39 (assume @p416 (forall @t39 (=> @t380 @t415))) % 1.13/1.39 (assume @p417 (forall @t39 (=> @t560 @t415))) % 1.13/1.39 (assume @p418 (forall @t52 (=> @t560 (= (tptp.hAPP @t49 @t307) @t307)))) % 1.13/1.39 (assume @p419 (forall @t350 (=> (tptp.class_Rings_Oring__no__zero__divisors @t34) (= (= @t563 @t307) (or @t375 @t562))))) % 1.13/1.39 (assume @p420 (forall @t98 (=> @t379 (=> @t421 (=> @t566 (not @t564)))))) % 1.13/1.39 (assume @p421 (forall @t98 (=> @t379 (=> @t564 (or @t420 @t565))))) % 1.13/1.39 (assume @p422 (forall @t45 (=> @t378 (not (= @t42 @t307))))) % 1.13/1.39 (assume @p423 (forall @t45 (=> @t378 (not (= @t307 @t42))))) % 1.13/1.39 (assume @p424 (forall @t569 (=> @t560 (= (tptp.hAPP @t53 (tptp.c_Groups_Oplus__class_Oplus @t34 @t94 @t567)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t97 @t568))))) % 1.13/1.39 (assume @p425 (forall @t573 (=> @t560 (= (tptp.hAPP @t570 @t283) (tptp.c_Groups_Oplus__class_Oplus @t34 @t572 @t571))))) % 1.13/1.39 (assume @p426 (forall @t174 (=> (tptp.class_Rings_Ocomm__semiring @t34) @t215))) % 1.13/1.39 (assume @p427 (forall @t576 (=> @t560 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oplus__class_Oplus @t34 @t33 @t574)) @t94) (tptp.c_Groups_Oplus__class_Oplus @t34 @t97 @t575))))) % 1.13/1.39 (assume @p428 (forall @t579 (=> @t560 (= (tptp.hAPP (tptp.hAPP @t48 @t283) @t522) (tptp.c_Groups_Oplus__class_Oplus @t34 @t578 @t577))))) % 1.13/1.39 (assume @p429 (forall (@list @t151 @t94 @t580 @t33 @t34) (=> (tptp.class_Rings_Osemiring @t34) (= (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t53 @t580) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t95 @t580) @t151)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t214 @t580) @t151))))) % 1.13/1.39 (assume @p430 (forall @t569 (=> @t560 (= (tptp.hAPP @t53 (tptp.c_Groups_Ominus__class_Ominus @t34 @t94 @t567)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t97 @t568))))) % 1.13/1.39 (assume @p431 (forall @t573 (=> @t560 (= (tptp.hAPP @t570 @t306) (tptp.c_Groups_Ominus__class_Ominus @t34 @t572 @t571))))) % 1.13/1.39 (assume @p432 (forall @t576 (=> @t560 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t33 @t574)) @t94) (tptp.c_Groups_Ominus__class_Ominus @t34 @t97 @t575))))) % 1.13/1.39 (assume @p433 (forall @t579 (=> @t560 (= (tptp.hAPP @t394 @t522) (tptp.c_Groups_Ominus__class_Ominus @t34 @t578 @t577))))) % 1.13/1.39 (assume @p434 (forall @t132 (=> @t544 (= (= @t581 @t341) @t351)))) % 1.13/1.39 (assume @p435 (forall @t45 (=> @t544 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t307) @t341)))) % 1.13/1.39 (assume @p436 (forall @t98 (=> @t38 @t584))) % 1.13/1.39 (assume @p437 (forall @t39 (=> @t38 (= (tptp.hAPP @t582 @t40) @t54)))) % 1.13/1.39 (assume @p438 (forall @t45 (=> @t38 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t42) @t42)))) % 1.13/1.39 (assume @p439 (forall @t98 (=> @t544 (= @t552 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t383))))) % 1.13/1.39 (assume @p440 (forall @t52 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 @t556)))) % 1.13/1.39 (assume @p441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 @t264)) % 1.13/1.39 (assume @p442 (forall @t298 (=> @t586 (=> @t585 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t21 @t122)))))) % 1.13/1.39 (assume @p443 (forall @t298 (=> @t586 (=> @t585 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.hAPP (tptp.hAPP @t158 @t21) @t122)))))) % 1.13/1.39 (assume @p444 (forall @t39 (=> @t544 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t554) @t554)))) % 1.13/1.39 (assume @p445 (forall @t423 (=> @t586 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.hAPP @t257 @t17))))) % 1.13/1.39 (assume @p446 (= (tptp.hAPP (tptp.hAPP @t136 tptp.c_Complex_Oii) @t20) @t559)) % 1.13/1.39 (assume @p447 (forall @t39 (=> @t486 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t54)))) % 1.13/1.39 (assume @p448 (forall @t350 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t563) @t589)))) % 1.13/1.39 (assume @p449 (forall @t350 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t563 @t307) @t590)))) % 1.13/1.39 (assume @p450 (forall @t98 (=> @t592 (=> @t398 (=> @t397 @t591))))) % 1.13/1.39 (assume @p451 (forall @t98 (=> @t592 (=> @t398 (=> @t438 @t593))))) % 1.13/1.39 (assume @p452 (forall @t98 (=> @t592 (=> @t398 (=> @t438 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t96 @t307)))))) % 1.13/1.39 (assume @p453 (forall @t98 (=> @t592 (=> @t439 (=> @t397 @t593))))) % 1.13/1.39 (assume @p454 (forall @t98 (=> @t594 (=> @t439 (=> @t438 @t591))))) % 1.13/1.39 (assume @p455 (forall @t174 (=> @t596 (=> @t402 (=> @t436 @t595))))) % 1.13/1.39 (assume @p456 (forall @t174 (=> @t596 @t601))) % 1.13/1.39 (assume @p457 (forall @t174 (=> (tptp.class_Rings_Oordered__comm__semiring @t34) @t601))) % 1.13/1.39 (assume @p458 (forall @t501 (=> @t594 (=> @t435 (=> @t602 @t595))))) % 1.13/1.39 (assume @p459 (forall @t501 (=> @t594 (=> @t435 (=> @t602 @t600))))) % 1.13/1.39 (assume @p460 (forall @t176 (=> @t596 (=> @t402 (=> @t538 (=> @t398 @t604)))))) % 1.13/1.39 (assume @p461 (forall @t176 (=> @t596 (=> @t402 (=> @t538 (=> @t397 @t604)))))) % 1.13/1.39 (assume @p462 (forall @t98 (=> @t594 (=> (or (and @t398 @t397) (and @t439 @t438)) @t591)))) % 1.13/1.39 (assume @p463 (forall @t98 (=> @t592 (=> (or (and @t398 @t438) (and @t439 @t397)) @t593)))) % 1.13/1.39 (assume @p464 (forall @t45 (=> @t141 (not (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t42 @t307))))) % 1.13/1.39 (assume @p465 (forall @t45 (=> @t141 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t42)))) % 1.13/1.39 (assume @p466 (forall @t454 (=> @t560 (= @t452 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t449 @t451) @t450) (tptp.hAPP @t53 @t451)))))) % 1.13/1.39 (assume @p467 (forall @t610 (=> @t453 (= @t609 (= @t200 @t606))))) % 1.13/1.39 (assume @p468 (forall @t610 (=> @t453 (= @t609 (= @t611 @t204))))) % 1.13/1.39 (assume @p469 (forall (@list @t219 @t205 @t34) (=> @t381 (= (= (tptp.hAPP @t376 @t612) @t307) (and @t375 (not (= @t612 @t318))))))) % 1.13/1.39 (assume @p470 (forall @t132 (=> @t544 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t581 @t341) @t351)))) % 1.13/1.39 (assume @p471 (forall @t98 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t555 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t171))))) % 1.13/1.39 (assume @p472 (forall @t98 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t555 @t552)))) % 1.13/1.39 (assume @p473 (forall @t284 (=> @t616 (= @t615 @t614)))) % 1.13/1.39 (assume @p474 (forall @t45 (=> @t551 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t42) @t7)))) % 1.13/1.39 (assume @p475 (forall @t61 (=> @t616 (= @t558 @t557)))) % 1.13/1.39 (assume @p476 (forall @t284 (=> @t38 (=> @t530 (=> @t529 (=> @t617 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t126 @t21))))))) % 1.13/1.39 (assume @p477 (forall @t284 (=> @t38 (=> @t530 (=> @t529 (=> @t617 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t618 @t21))))))) % 1.13/1.39 (assume @p478 (forall @t610 (=> @t594 (= @t619 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t200 @t606))))) % 1.13/1.39 (assume @p479 (forall @t610 (=> @t594 (= @t619 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t611 @t204))))) % 1.13/1.39 (assume @p480 (forall @t284 (=> @t38 (=> @t530 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oabs__class_Oabs @t34 @t122)) @t21) (tptp.c_Groups_Oabs__class_Oabs @t34 @t618)))))) % 1.13/1.39 (assume @p481 (forall @t98 (=> (tptp.class_Rings_Oordered__ring__abs @t34) (=> (and (or @t398 @t439) (or @t397 @t438)) @t584)))) % 1.13/1.39 (assume @p482 (forall @t241 (=> @t371 (and (=> @t622 (= @t621 @t42)) (=> (not @t622) (= @t621 @t307)))))) % 1.13/1.39 (assume @p483 (forall @t284 (=> @t560 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t615 @t614)))) % 1.13/1.39 (assume @p484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t63))) % 1.13/1.39 (assume @p485 (forall @t284 (=> @t544 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t623 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t556 @t613))))) % 1.13/1.39 (assume @p486 (forall (@list @t216 @t17 @t34) (=> @t305 (and (=> @t405 (= @t626 @t42)) (=> @t406 (= @t626 (tptp.hAPP @t625 (tptp.hAPP @t624 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t72))))))))) % 1.13/1.39 (assume @p487 (forall @t19 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t17)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t17))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t17))))))) % 1.13/1.39 (assume @p488 (forall (@list @t122 @t17 @t68 @t34) (=> @t55 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t68 @t17) (= (tptp.hAPP @t123 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t369 @t68)) (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t123 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t68))) @t122)))))) % 1.13/1.39 (assume @p489 (forall @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t17))) % 1.13/1.39 (assume @p490 (forall (@list @t122 @t21 @t151 @t34) (=> @t544 (=> @t628 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t556 (tptp.hAPP @t627 @t613)) (= @t21 @t307)))))) % 1.13/1.39 (assume @p491 (forall @t19 (not (= @t17 @t369)))) % 1.13/1.39 (assume @p492 (forall @t19 (not (= @t369 @t17)))) % 1.13/1.39 (assume @p493 (forall (@list @t629 @t630) (= (= (tptp.c_Nat_OSuc @t630) (tptp.c_Nat_OSuc @t629)) (= @t630 @t629)))) % 1.13/1.39 (assume @p494 (forall @t298 (=> (= (tptp.c_Nat_OSuc @t21) (tptp.c_Nat_OSuc @t122)) @t496))) % 1.13/1.39 (assume @p495 (forall @t266 (= @t317 @t631))) % 1.13/1.39 (assume @p496 (forall @t225 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t321) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t99))))) % 1.13/1.39 (assume @p497 (forall @t633 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t317 @t104) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t632)))) % 1.13/1.39 (assume @p498 (forall @t637 (= (= @t636 @t635) @t634))) % 1.13/1.39 (assume @p499 (forall @t638 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t268 @t164) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t267 @t164)) @t634))) % 1.13/1.39 (assume @p500 (forall @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t17))) % 1.13/1.39 (assume @p501 (forall @t266 (or @t640 @t639))) % 1.13/1.39 (assume @p502 (forall @t266 (=> @t641 @t640))) % 1.13/1.39 (assume @p503 (forall @t107 (=> @t642 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t104) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t104))))) % 1.13/1.39 (assume @p504 (forall @t266 (=> @t640 (=> @t639 @t641)))) % 1.13/1.39 (assume @p505 (forall @t266 (= @t292 (tptp.hAPP @t643 @t216)))) % 1.13/1.39 (assume @p506 (forall @t633 (= (tptp.hAPP (tptp.hAPP @t58 @t292) @t104) (tptp.hAPP @t291 @t644)))) % 1.13/1.39 (assume @p507 (forall @t107 (= @t646 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t104) @t106)))) % 1.13/1.39 (assume @p508 (forall @t648 (not (= @t318 @t647)))) % 1.13/1.39 (assume @p509 (forall (@list @t649) (not (= @t318 (tptp.c_Nat_OSuc @t649))))) % 1.13/1.39 (assume @p510 (forall @t648 (not (= @t647 @t318)))) % 1.13/1.39 (assume @p511 (forall (@list @t650) (not (= (tptp.c_Nat_OSuc @t650) @t318)))) % 1.13/1.39 (assume @p512 (forall @t19 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t17) @t17))) % 1.13/1.39 (assume @p513 (forall @t648 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t318) @t216))) % 1.13/1.39 (assume @p514 (forall @t269 (= (= @t651 @t318) (and @t333 @t373)))) % 1.13/1.39 (assume @p515 (forall @t266 (=> (= @t317 @t216) @t405))) % 1.13/1.39 (assume @p516 (forall @t652 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t267 @t318) @t373))) % 1.13/1.39 (assume @p517 (forall @t266 (= @t654 @t653))) % 1.13/1.39 (assume @p518 (forall @t266 (= @t654 @t655))) % 1.13/1.39 (assume @p519 (forall @t266 (= @t653 @t655))) % 1.13/1.39 (assume @p520 (forall @t19 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t369 @t17)))) % 1.13/1.39 (assume @p521 (forall @t269 (= (not @t657) @t656))) % 1.13/1.39 (assume @p522 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t337) (or @t657 (= @t268 @t337))))) % 1.13/1.39 (assume @p523 (forall @t659 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t337 @t658) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t267 @t268)))) % 1.13/1.39 (assume @p524 (forall @t266 (=> @t640 @t660))) % 1.13/1.39 (assume @p525 (forall @t266 (=> @t660 (=> (not @t640) (= @t216 @t369))))) % 1.13/1.39 (assume @p526 (forall @t266 (=> @t661 @t640))) % 1.13/1.39 (assume @p527 (forall @t19 (= (tptp.hAPP (tptp.hAPP @t58 @t318) @t17) @t318))) % 1.13/1.39 (assume @p528 (forall @t648 (= (tptp.hAPP @t291 @t318) @t318))) % 1.13/1.39 (assume @p529 (forall @t269 (= (= @t663 @t318) (or @t333 @t373)))) % 1.13/1.39 (assume @p530 (forall @t637 (= @t669 @t665))) % 1.13/1.39 (assume @p531 (forall @t638 (= (= @t671 @t670) @t665))) % 1.13/1.39 (assume @p532 (forall @t266 (=> @t673 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t216) @t318) @t641)))) % 1.13/1.39 (assume @p533 (forall @t648 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t216) @t318))) % 1.13/1.39 (assume @p534 (forall @t648 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t318) @t216))) % 1.13/1.39 (assume @p535 (forall @t19 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t17) @t318))) % 1.13/1.39 (assume @p536 (forall @t637 (= (= @t676 @t675) @t634))) % 1.13/1.39 (assume @p537 (forall @t677 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t317))) % 1.13/1.39 (assume @p538 (forall @t677 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t631))) % 1.13/1.39 (assume @p539 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t163) (exists (@list @t678) (= @t163 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t678)))))) % 1.13/1.39 (assume @p540 (forall @t269 (= @t657 (exists @t681 (= @t267 @t680))))) % 1.13/1.39 (assume @p541 (forall @t637 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t636 @t635) @t657))) % 1.13/1.39 (assume @p542 (forall @t683 (=> @t642 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t682)))) % 1.13/1.39 (assume @p543 (forall @t683 (=> @t642 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t684)))) % 1.13/1.39 (assume @p544 (forall @t107 (=> @t642 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t685)))) % 1.13/1.39 (assume @p545 (forall @t689 (=> @t642 (=> @t688 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t686 @t687))))) % 1.13/1.39 (assume @p546 (forall @t693 (=> @t692 @t690))) % 1.13/1.39 (assume @p547 (forall @t693 (=> @t692 @t640))) % 1.13/1.39 (assume @p548 (forall @t693 (=> @t692 (not (=> @t640 (not @t690)))))) % 1.13/1.39 (assume @p549 (forall @t266 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t647 @t369) @t672))) % 1.13/1.39 (assume @p550 (forall @t633 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t694 (tptp.c_Nat_OSuc @t104)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t672 @t104)))) % 1.13/1.39 (assume @p551 (forall @t698 (= (tptp.hAPP @t695 @t317) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t697 @t696)))) % 1.13/1.39 (assume @p552 (forall @t633 (= (tptp.hAPP (tptp.hAPP @t58 @t317) @t104) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t699 @t644)))) % 1.13/1.39 (assume @p553 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 @t700))) % 1.13/1.39 (assume @p554 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 (tptp.hAPP @t291 @t700)))) % 1.13/1.39 (assume @p555 (forall @t107 (=> @t642 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t704 @t702)))) % 1.13/1.39 (assume @p556 (forall @t107 (=> @t642 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t706 @t705)))) % 1.13/1.39 (assume @p557 (forall @t689 (=> @t642 (=> @t688 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t704 (tptp.hAPP @t701 @t252)))))) % 1.13/1.39 (assume @p558 (forall @t266 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t317 @t17) @t216))) % 1.13/1.39 (assume @p559 (forall @t677 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t631 @t17) @t216))) % 1.13/1.39 (assume @p560 (forall @t107 (= @t646 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t685)))) % 1.13/1.39 (assume @p561 (forall @t698 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t708 @t707) @t672))) % 1.13/1.39 (assume @p562 (forall @t693 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t691 @t632) @t672))) % 1.13/1.39 (assume @p563 (forall @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t672 @t216))) % 1.13/1.39 (assume @p564 (forall @t711 (=> @t640 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t710 @t709)))) % 1.13/1.39 (assume @p565 (forall @t711 (=> @t640 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t252) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t252))))) % 1.13/1.39 (assume @p566 (forall @t372 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t17) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t105)) @t105)))) % 1.13/1.39 (assume @p567 (forall @t637 (=> @t715 (=> @t714 (= (= @t713 @t712) @t634))))) % 1.13/1.39 (assume @p568 (forall @t698 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t216) (=> @t690 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t104) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t104)) @t672))))) % 1.13/1.39 (assume @p569 (forall @t637 (=> @t715 (=> @t714 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t713 @t712) @t657))))) % 1.13/1.39 (assume @p570 (forall @t698 (= (tptp.hAPP @t695 @t672) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t697 @t696)))) % 1.13/1.39 (assume @p571 (forall @t633 (= (tptp.hAPP (tptp.hAPP @t58 @t672) @t104) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t699 @t644)))) % 1.13/1.39 (assume @p572 (forall @t19 (= (tptp.hAPP (tptp.hAPP @t58 @t72) @t17) @t17))) % 1.13/1.39 (assume @p573 (forall @t269 (= (= @t72 @t663) @t716))) % 1.13/1.39 (assume @p574 (forall @t19 (= (tptp.hAPP @t643 @t72) @t17))) % 1.13/1.39 (assume @p575 (forall @t269 (= (= @t663 @t72) @t716))) % 1.13/1.39 (assume @p576 (forall @t269 (= (= @t651 @t327) @t719))) % 1.13/1.39 (assume @p577 (forall @t269 (= (= @t327 @t651) @t719))) % 1.13/1.39 (assume @p578 (forall @t269 (= (= @t663 @t327) (and @t718 @t717)))) % 1.13/1.39 (assume @p579 (= @t72 @t327)) % 1.13/1.39 (assume @p580 (forall @t677 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t17 @t631) @t318))) % 1.13/1.39 (assume @p581 (forall @t266 (=> @t640 @t673))) % 1.13/1.39 (assume @p582 (forall @t269 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t268 @t267) @t318) @t657))) % 1.13/1.39 (assume @p583 (forall @t266 (= (tptp.hAPP @t291 @t369) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t292)))) % 1.13/1.39 (assume @p584 (forall @t266 (= (tptp.hAPP (tptp.hAPP @t58 @t647) @t17) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t292)))) % 1.13/1.39 (assume @p585 (forall @t637 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t676 @t675) @t657))) % 1.13/1.39 (assume @p586 (forall @t677 (=> @t639 (= @t694 (tptp.c_Nat_OSuc @t672))))) % 1.13/1.39 (assume @p587 (forall @t266 (=> (= @t216 @t292) (or (= @t17 @t72) @t319)))) % 1.13/1.39 (assume @p588 (forall @t725 (=> @t724 (= @t723 @t721)))) % 1.13/1.39 (assume @p589 (forall @t725 (=> @t724 (= @t721 @t723)))) % 1.13/1.39 (assume @p590 (forall @t725 (=> @t724 (= @t728 @t726)))) % 1.13/1.39 (assume @p591 (forall (@list @t164 @t730 @t729) (=> @t732 (= (= @t731 @t164) (= @t730 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t729)))))) % 1.13/1.39 (assume @p592 (forall @t677 (=> @t639 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t672 @t17) @t216)))) % 1.13/1.39 (assume @p593 (forall (@list @t729 @t730 @t164) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t730) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t729 @t734) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t733 @t730))))) % 1.13/1.39 (assume @p594 (forall @t725 (=> @t724 (= @t726 @t728)))) % 1.13/1.39 (assume @p595 (forall @t677 (=> @t639 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t672) @t216)))) % 1.13/1.39 (assume @p596 (forall (@list @t216 @t17 @t104) (=> @t690 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t216 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t631 @t104))))) % 1.13/1.39 (assume @p597 (forall (@list @t729 @t164 @t730) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t734 @t729) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t733)))) % 1.13/1.39 (assume @p598 (forall @t725 (=> @t724 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t720) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t686 @t106))))) % 1.13/1.39 (assume @p599 (forall @t19 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t369 @t72) @t17))) % 1.13/1.39 (assume @p600 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 @t663) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 @t268) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 @t267))))) % 1.13/1.39 (assume @p601 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t313 @t66)) % 1.13/1.39 (assume @p602 (forall @t737 (=> @t724 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t736 @t216) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t735 @t708))))) % 1.13/1.39 (assume @p603 (forall @t737 (=> @t724 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 @t736) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t691 @t735))))) % 1.13/1.39 (assume @p604 (forall (@list @t122 @t21 @t151) (=> @t628 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t309 (tptp.hAPP @t627 @t310)) @t366)))) % 1.13/1.39 (assume @p605 (forall @t741 (= (tptp.c_Complex_Ocomplex_Ocomplex__size @t740) @t318))) % 1.13/1.39 (assume @p606 (forall @t748 (=> @t747 (= @t746 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t743 @t267))))) % 1.13/1.39 (assume @p607 (forall (@list @t17 @t216 @t545 @t105 @t106) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t105) (= @t751 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 @t645) @t545) @t216) @t17))))) % 1.13/1.39 (assume @p608 (forall @t748 (=> @t747 (= @t752 (= @t743 @t267))))) % 1.13/1.39 (assume @p609 (forall @t637 (= @t669 (or @t664 @t634)))) % 1.13/1.39 (assume @p610 (forall (@list @t104 @t106 @t545 @t105) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t750 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t749 @t104)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 @t727) @t545) @t104)))) % 1.13/1.39 (assume @p611 (forall @t754 (=> @t732 (= @t752 (= @t268 @t753))))) % 1.13/1.39 (assume @p612 (forall (@list @t17 @t216 @t545 @t106 @t105) (=> @t642 (= @t751 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t216 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t105)) @t545) @t17)))))) % 1.13/1.39 (assume @p613 (forall @t754 (=> @t732 (= @t746 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t753))))) % 1.13/1.39 (assume @p614 (forall @t298 (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 @t21 @t308)) @t7))) % 1.13/1.39 (assume @p615 (forall @t741 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Complex_Ocomplex @t740) @t318))) % 1.13/1.39 (assume @p616 (forall @t757 (= (tptp.c_Complex_Ocomplex_Ocomplex__case @t34 @t755 @t521) @t756))) % 1.13/1.39 (assume @p617 (forall @t39 (=> @t758 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t307 @t33) @t307)))) % 1.13/1.39 (assume @p618 (forall @t561 (=> @t759 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t307 @t122) @t307)))) % 1.13/1.39 (assume @p619 (forall @t39 (=> @t760 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t307) @t307)))) % 1.13/1.39 (assume @p620 (forall @t174 (=> @t758 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t382 @t151) (tptp.c_Groups_Ominus__class_Ominus @t34 @t762 @t761))))) % 1.13/1.39 (assume @p621 (forall @t579 (=> @t759 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t306 @t522) (tptp.c_Groups_Ominus__class_Ominus @t34 @t764 @t763))))) % 1.13/1.39 (assume @p622 (forall @t174 (=> @t758 (= (tptp.hAPP @t53 @t761) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t97 @t151))))) % 1.13/1.39 (assume @p623 (forall @t174 (=> @t758 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t171 @t151) (tptp.c_Groups_Oplus__class_Oplus @t34 @t762 @t761))))) % 1.13/1.39 (assume @p624 (forall @t579 (=> @t759 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t283 @t522) (tptp.c_Groups_Oplus__class_Oplus @t34 @t764 @t763))))) % 1.13/1.39 (assume @p625 (forall @t39 (=> @t758 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t42) @t33)))) % 1.13/1.39 (assume @p626 (forall @t279 (=> @t767 @t766))) % 1.13/1.39 (assume @p627 (forall (@list @t33 @t448) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t768 @t33) (tptp.hAPP @t768 @t448)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t33 @t448)))) % 1.13/1.39 (assume @p628 (forall @t298 (= (tptp.c_NthRoot_Osqrt (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t21 @t122)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t364 @t403)))) % 1.13/1.39 (assume @p629 (forall @t770 (=> @t759 (=> @t566 @t769)))) % 1.13/1.39 (assume @p630 (forall @t98 (=> (and @t767 @t759) @t769))) % 1.13/1.39 (assume @p631 (forall @t535 (=> @t758 (=> @t771 (=> (= @t213 @t94) (= @t33 @t761)))))) % 1.13/1.39 (assume @p632 (forall @t437 (=> @t758 (=> @t771 (=> (= @t94 @t213) (= @t761 @t33)))))) % 1.13/1.39 (assume @p633 (forall @t777 (=> @t758 (=> @t776 (= @t774 @t772))))) % 1.13/1.39 (assume @p634 (forall @t541 (=> @t758 (=> @t776 (= @t779 @t778))))) % 1.13/1.39 (assume @p635 (forall @t39 (=> @t760 (and (=> @t420 (= @t780 @t307)) @t781)))) % 1.13/1.39 (assume @p636 (forall @t39 (=> @t758 @t781))) % 1.13/1.39 (assume @p637 (forall @t419 (=> @t758 (=> (not @t562) (= (= @t782 @t42) @t209))))) % 1.13/1.39 (assume @p638 (forall (@list @t17 @t33 @t94 @t34) (=> @t783 (=> @t566 @t766)))) % 1.13/1.39 (assume @p639 (forall @t119 (=> @t767 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t42 @t116) (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t42 @t33)) @t17))))) % 1.13/1.39 (assume @p640 (forall @t358 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t130 @t133)) (and (or @t363 @t361) (or @t481 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t133 @t341)))))) % 1.13/1.39 (assume @p641 (forall @t790 (=> @t789 (= (= @t788 @t205) (and (=> @t787 (= @t201 @t786)) @t785))))) % 1.13/1.39 (assume @p642 (forall @t793 (=> @t789 (= (= @t773 @t247) (and (=> @t776 (= @t201 @t792)) @t791))))) % 1.13/1.39 (assume @p643 (forall @t794 (=> @t789 (= (= @t247 @t773) (and (=> @t776 (= @t792 @t201)) @t791))))) % 1.13/1.39 (assume @p644 (forall @t795 (=> @t789 (= (= @t205 @t788) (and (=> @t787 (= @t786 @t201)) @t785))))) % 1.13/1.39 (assume @p645 (forall @t52 (=> (and @t767 @t76) (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t21 @t236) @t307)))) % 1.13/1.39 (assume @p646 (forall @t52 (=> @t796 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t21 @t128) @t21)))) % 1.13/1.39 (assume @p647 (forall @t39 (=> @t796 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t33 @t128) @t33)))) % 1.13/1.39 (assume @p648 (forall (@list @t216 @t17 @t33 @t34) (=> @t783 (=> @t421 (=> @t639 (= (tptp.hAPP @t36 @t672) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t290 @t116))))))) % 1.13/1.39 (assume @p649 (forall @t346 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t94 @t33) @t10) @t33) @t797))) % 1.13/1.39 (assume @p650 (forall (@list @t94 @t33) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t33 @t94) @t10) @t33) @t797))) % 1.13/1.39 (assume @p651 (forall @t27 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t798 @t798) @t21))) % 1.13/1.39 (assume @p652 (forall @t799 (=> @t354 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t153 @t175) (tptp.c_Groups_Oplus__class_Oplus @t34 @t382 (tptp.c_Groups_Ominus__class_Ominus @t34 @t151 @t154)))))) % 1.13/1.39 (assume @p653 (forall (@list @t201 @t205 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t800 (tptp.hAPP @t802 @t205)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t801 (tptp.hAPP @t802 @t201))))) % 1.13/1.39 (assume @p654 (forall (@list @t803 @t154 @t151 @t94 @t33 @t34) (=> (tptp.class_RealVector_Oreal__field @t34) (= (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t97 @t804) @t803) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t53 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t456 @t803)) (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t457 @t803)) @t154)))))) % 1.13/1.39 (assume @p655 (forall (@list @t218 @t133 @t130) (= (= @t130 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t133 (tptp.hAPP @t12 @t218))) (= (tptp.hAPP @t12 @t130) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t133 @t218))))) % 1.13/1.39 (assume @p656 (forall @t808 (=> @t783 (=> @t807 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t21 @t806) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t805 @t122) @t99)))))) % 1.13/1.39 (assume @p657 (forall @t808 (=> @t783 (=> @t807 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t810 @t122) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t21 @t809) @t99)))))) % 1.13/1.39 (assume @p658 (forall @t816 (=> @t783 (=> @t815 (=> @t807 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t814 @t813) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t198 @t812) @t811))))))) % 1.13/1.39 (assume @p659 (forall (@list @t28 @t99 @t122 @t21 @t34) (=> @t767 (= (tptp.hAPP (tptp.hAPP @t48 @t814) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t99 @t28)) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t198 (tptp.hAPP @t484 @t28)))))) % 1.13/1.39 (assume @p660 (forall @t98 (=> @t818 @t817))) % 1.13/1.39 (assume @p661 (forall @t350 (=> @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t782) @t589)))) % 1.13/1.39 (assume @p662 (forall @t350 (=> @t818 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t782 @t307) @t590)))) % 1.13/1.39 (assume @p663 (forall @t174 (=> @t818 (=> @t402 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t762 @t761)))))) % 1.13/1.39 (assume @p664 (forall @t174 (=> @t818 (=> @t402 (=> @t602 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t761 @t762)))))) % 1.13/1.39 (assume @p665 (forall @t512 (=> @t767 (= @t779 (and (=> @t776 @t778) @t819))))) % 1.13/1.39 (assume @p666 (forall @t820 (=> @t767 (= @t774 (and (=> @t776 @t772) @t819))))) % 1.13/1.39 (assume @p667 (forall @t535 (=> @t767 (=> @t771 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t213 @t212) @t765))))) % 1.13/1.39 (assume @p668 (forall @t535 (=> @t767 (=> @t771 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t599 @t598) @t765))))) % 1.13/1.39 (assume @p669 (forall (@list @t219 @t130 @t218 @t133 @t34) (=> @t783 (=> @t821 (=> (not (= @t218 @t307)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t34 @t130 @t133) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t219 @t218)) (= @t222 @t223))))))) % 1.13/1.39 (assume @p670 (forall @t770 (=> @t822 (=> @t566 @t817)))) % 1.13/1.39 (assume @p671 (forall @t816 (=> @t783 (=> @t815 (=> @t807 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t814 @t813) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t198 @t812) @t811))))))) % 1.13/1.39 (assume @p672 (forall @t808 (=> @t783 (=> @t807 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t810 @t122) (tptp.c_Rings_Oinverse__class_Odivide @t34 @t823 @t99)))))) % 1.13/1.39 (assume @p673 (forall @t495 (=> @t767 (=> @t815 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t814 @t99) @t824))))) % 1.13/1.39 (assume @p674 (forall @t808 (=> @t783 (=> @t807 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t21 @t806) (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 @t805 @t122) @t99)))))) % 1.13/1.39 (assume @p675 (forall @t825 (=> @t767 (=> @t815 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t99 @t814) @t824))))) % 1.13/1.39 (assume @p676 (forall @t27 (= @t826 (tptp.hAPP @t12 (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t21 (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 @t24))))))))) % 1.13/1.39 (assume @p677 (forall (@list @t122 @t21 @t545) (=> @t829 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t828) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t122 @t828) (=> @t365 (=> @t479 @t827))))))) % 1.13/1.39 (assume @p678 (forall (@list @t122 @t545 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t309 @t830) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t310 @t830) @t827)))) % 1.13/1.39 (assume @p679 (forall @t501 (=> @t464 (=> @t833 (=> @t832 @t831))))) % 1.13/1.39 (assume @p680 (forall @t501 (=> @t464 (=> @t833 (=> @t832 @t834))))) % 1.13/1.39 (assume @p681 (forall @t174 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t34) @t837))) % 1.13/1.39 (assume @p682 (forall @t174 (=> @t838 @t837))) % 1.13/1.39 (assume @p683 (forall @t174 (=> @t838 (=> @t836 (=> @t835 @t834))))) % 1.13/1.39 (assume @p684 (forall @t98 (=> @t464 (=> @t841 (=> @t840 @t839))))) % 1.13/1.39 (assume @p685 (forall @t98 (=> @t838 (=> @t841 (=> @t843 @t842))))) % 1.13/1.39 (assume @p686 (forall @t541 (=> @t464 (=> @t849 (= @t848 @t844))))) % 1.13/1.39 (assume @p687 (forall @t770 (=> @t838 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t96) @t851)))) % 1.13/1.39 (assume @p688 (forall @t98 (=> @t838 (=> @t839 @t851)))) % 1.13/1.39 (assume @p689 (forall @t98 (=> @t838 (=> @t850 (=> @t840 (tptp.c_Orderings_Oord__class_Oless @t34 @t96 @t307)))))) % 1.13/1.39 (assume @p690 (forall @t98 (=> @t838 (=> @t850 (=> @t840 @t842))))) % 1.13/1.39 (assume @p691 (forall @t98 (=> @t838 (=> @t850 (=> @t843 @t839))))) % 1.13/1.39 (assume @p692 (forall @t541 (=> @t464 (=> @t853 (= @t848 @t852))))) % 1.13/1.39 (assume @p693 (forall @t541 (=> @t464 (= @t848 @t854)))) % 1.13/1.39 (assume @p694 (forall @t543 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t207 @t203) @t854)))) % 1.13/1.39 (assume @p695 (forall @t39 (=> @t486 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t54 @t307))))) % 1.13/1.39 (assume @p696 (forall @t98 (=> @t430 (=> @t841 @t856)))) % 1.13/1.39 (assume @p697 (forall @t98 (=> @t430 (=> @t850 @t858)))) % 1.13/1.39 (assume @p698 (forall @t391 (=> @t390 @t860))) % 1.13/1.39 (assume @p699 (forall @t391 (=> @t390 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t389) @t861)))) % 1.13/1.39 (assume @p700 (forall @t391 (=> @t38 @t860))) % 1.13/1.39 (assume @p701 (forall @t174 (=> @t141 (=> @t850 @t864)))) % 1.13/1.39 (assume @p702 (= (tptp.c_Transcendental_Oarctan @t341) @t341)) % 1.13/1.39 (assume @p703 (forall @t298 (=> @t224 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t826 @t865)))) % 1.13/1.39 (assume @p704 (forall @t298 (=> @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t826 @t865)))) % 1.13/1.39 (assume @p705 (forall @t298 (=> @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t364 @t403)))) % 1.13/1.39 (assume @p706 (forall @t358 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t357 @t356) @t867))) % 1.13/1.39 (assume @p707 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t131 @t307) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t130 tptp.c_Int_OPls))))) % 1.13/1.39 (assume @p708 (forall @t135 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t133))))) % 1.13/1.39 (assume @p709 (forall @t142 (=> @t141 (=> @t869 (=> @t850 (=> @t868 (tptp.c_Orderings_Oord__class_Oless @t34 @t138 @t116))))))) % 1.13/1.39 (assume @p710 (forall @t119 (=> @t141 (=> @t871 (=> @t870 (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t116)))))) % 1.13/1.39 (assume @p711 (forall @t52 (=> @t303 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t21))))) % 1.13/1.39 (assume @p712 (forall @t250 (=> @t489 (= @t874 (or @t873 @t872))))) % 1.13/1.39 (assume @p713 (forall @t250 (=> @t489 (= @t875 (or @t872 @t249))))) % 1.13/1.39 (assume @p714 (forall @t284 (=> @t489 (or @t877 @t496 @t876)))) % 1.13/1.39 (assume @p715 (forall @t507 (=> @t489 (=> (not @t872) @t878)))) % 1.13/1.39 (assume @p716 (forall @t284 (=> @t489 @t881))) % 1.13/1.39 (assume @p717 (forall @t284 (=> @t494 (=> @t877 @t880)))) % 1.13/1.39 (assume @p718 (forall @t284 (=> @t303 (=> @t877 (not @t876))))) % 1.13/1.39 (assume @p719 (forall @t284 (=> @t494 (=> @t877 (not (= @t122 @t21)))))) % 1.13/1.39 (assume @p720 (forall @t98 (=> @t303 (=> @t836 (not @t833))))) % 1.13/1.39 (assume @p721 (forall @t770 (=> @t494 (=> @t833 (not @t836))))) % 1.13/1.39 (assume @p722 (forall @t174 (=> @t503 (=> @t396 (=> @t863 @t882))))) % 1.13/1.39 (assume @p723 (forall @t174 (=> @t494 (=> @t396 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t151 @t94) @t883))))) % 1.13/1.39 (assume @p724 (forall @t174 (=> @t503 (=> @t836 (=> @t500 @t882))))) % 1.13/1.39 (assume @p725 (forall @t501 (=> @t494 (=> @t833 (=> @t500 @t883))))) % 1.13/1.39 (assume @p726 (forall @t199 (=> @t303 (=> @t877 @t885)))) % 1.13/1.39 (assume @p727 (forall @t495 (=> @t494 (=> @t876 @t887)))) % 1.13/1.39 (assume @p728 (forall @t284 (=> @t489 (=> @t879 (=> @t880 @t876))))) % 1.13/1.39 (assume @p729 (forall @t358 (= @t368 (or @t867 @t249)))) % 1.13/1.39 (assume @p730 (forall @t358 (= @t867 (and @t368 @t874)))) % 1.13/1.39 (assume @p731 (forall @t211 (=> @t349 (=> @t355 (= @t852 (tptp.c_Orderings_Oord__class_Oless @t34 @t200 @t204)))))) % 1.13/1.39 (assume @p732 (forall @t543 (=> @t534 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t510 @t542) @t852)))) % 1.13/1.39 (assume @p733 (forall @t541 (=> @t534 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t513 @t540) @t852)))) % 1.13/1.39 (assume @p734 (forall @t174 (=> @t889 (=> @t836 @t888)))) % 1.13/1.39 (assume @p735 (forall @t174 (=> @t889 (=> @t836 @t890)))) % 1.13/1.39 (assume @p736 (forall @t176 (=> @t889 (=> @t836 @t893)))) % 1.13/1.39 (assume @p737 (forall @t537 (=> @t534 (=> @t888 @t836)))) % 1.13/1.39 (assume @p738 (forall @t535 (=> @t534 (=> @t890 @t836)))) % 1.13/1.39 (assume @p739 (forall @t495 (=> @t494 (=> @t487 @t887)))) % 1.13/1.39 (assume @p740 (forall @t199 (=> @t303 (=> @t488 @t885)))) % 1.13/1.39 (assume @p741 (forall @t495 (=> @t494 (=> @t876 (=> @t493 @t886))))) % 1.13/1.39 (assume @p742 (forall @t199 (=> @t303 (=> @t877 (=> @t498 @t884))))) % 1.13/1.39 (assume @p743 (forall @t770 (=> @t494 (=> @t435 (=> @t894 @t833))))) % 1.13/1.39 (assume @p744 (forall @t98 (=> @t494 (=> @t402 (=> @t894 @t836))))) % 1.13/1.39 (assume @p745 (forall @t284 (=> @t494 (=> @t488 (or @t877 @t496))))) % 1.13/1.39 (assume @p746 (forall @t250 (=> @t489 (=> @t504 @t878)))) % 1.13/1.39 (assume @p747 (forall @t284 (=> @t303 (=> @t877 @t488)))) % 1.13/1.39 (assume @p748 (forall @t497 (=> @t489 (=> @t487 @t879)))) % 1.13/1.39 (assume @p749 (forall @t98 (=> @t494 (=> @t894 (=> @t435 @t833))))) % 1.13/1.39 (assume @p750 (forall @t98 (=> @t494 (=> @t894 (=> @t402 @t836))))) % 1.13/1.39 (assume @p751 (forall @t250 (=> @t489 (=> @t875 @t505)))) % 1.13/1.39 (assume @p752 (forall @t497 (=> @t489 (=> (not @t487) @t877)))) % 1.13/1.39 (assume @p753 (forall @t284 (=> @t489 (=> @t879 @t487)))) % 1.13/1.39 (assume @p754 (forall @t250 (=> @t494 (= @t504 (or @t873 @t249))))) % 1.13/1.39 (assume @p755 (forall @t250 (=> @t303 (= @t873 (and @t504 (not @t506)))))) % 1.13/1.39 (assume @p756 (forall @t250 (=> @t494 (= @t873 (and @t504 @t874))))) % 1.13/1.39 (assume @p757 (forall @t284 (=> @t489 (or @t488 @t876)))) % 1.13/1.39 (assume @p758 (forall @t250 (=> @t489 (= (not @t504) @t872)))) % 1.13/1.39 (assume @p759 (forall @t250 (=> @t489 (= @t875 @t506)))) % 1.13/1.39 (assume @p760 (forall @t142 (=> @t141 (=> @t869 (=> @t871 (tptp.c_Orderings_Oord__class_Oless @t34 @t116 @t138)))))) % 1.13/1.39 (assume @p761 (forall @t293 (=> @t141 (=> @t871 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t290 @t116) @t895))))) % 1.13/1.39 (assume @p762 (forall @t900 (=> @t141 (=> @t899 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t898 @t897) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t130 @t133)))))) % 1.13/1.39 (assume @p763 (forall @t284 (=> @t38 @t881))) % 1.13/1.39 (assume @p764 (forall @t250 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t131 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t130 @t133))))) % 1.13/1.39 (assume @p765 (forall @t132 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t131 @t42) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t130 @t8))))) % 1.13/1.40 (assume @p766 (forall @t135 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t8 @t133))))) % 1.13/1.40 (assume @p767 (forall @t279 (=> @t141 (=> @t836 (=> @t398 (=> @t870 @t901)))))) % 1.13/1.40 (assume @p768 (forall @t176 (=> @t889 (=> @t402 @t893)))) % 1.13/1.40 (assume @p769 (forall @t176 (=> @t889 (=> @t836 (=> @t538 @t891))))) % 1.13/1.40 (assume @p770 (forall (@list @t219 @t192 @t34) (=> (and @t248 @t489) (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t902 @t247) (not (tptp.c_Orderings_Oord__class_Oless @t34 @t247 @t902)))))) % 1.13/1.40 (assume @p771 (forall @t45 (=> @t141 (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t42)))) % 1.13/1.40 (assume @p772 (forall @t45 (=> @t141 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t307))))) % 1.13/1.40 (assume @p773 (forall @t350 (=> @t349 (= @t852 (tptp.c_Orderings_Oord__class_Oless @t34 @t347 @t307))))) % 1.13/1.40 (assume @p774 (forall (@list @t17 @t216 @t34) (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t216) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t17) (tptp.c_Orderings_Oord__class_Oless @t34 @t42 (tptp.hAPP @t625 @t17))))))) % 1.13/1.40 (assume @p775 (forall @t119 (=> @t141 (=> @t850 (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t116))))) % 1.13/1.40 (assume @p776 (forall @t39 (=> @t141 (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t244)))) % 1.13/1.40 (assume @p777 (forall @t501 (=> @t822 (=> @t833 (=> @t832 @t903))))) % 1.13/1.40 (assume @p778 (forall @t174 (=> @t822 (=> @t836 (=> @t835 @t903))))) % 1.13/1.40 (assume @p779 (forall @t284 (=> @t822 (=> @t906 (=> @t905 @t904))))) % 1.13/1.40 (assume @p780 (forall @t284 (=> @t822 (=> @t906 (=> @t908 @t907))))) % 1.13/1.40 (assume @p781 (forall @t284 (=> @t822 (=> @t909 (=> @t905 @t907))))) % 1.13/1.40 (assume @p782 (forall @t284 (=> @t822 (=> @t909 (=> @t908 @t904))))) % 1.13/1.40 (assume @p783 (forall @t350 (=> @t818 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t782 @t307) (or (and @t861 @t911) (and @t859 @t910)))))) % 1.13/1.40 (assume @p784 (forall @t350 (=> @t818 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t782) (or (and @t861 @t910) (and @t859 @t911)))))) % 1.13/1.40 (assume @p785 (forall (@list @t267 @t268 @t205 @t34) (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t205) (= (= (tptp.hAPP @t376 @t268) @t377) @t634))))) % 1.13/1.40 (assume @p786 (forall @t39 (=> @t302 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t40 @t307))))) % 1.13/1.40 (assume @p787 (forall @t391 (=> @t302 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t393) @t912)))) % 1.13/1.40 (assume @p788 (forall @t39 (=> @t302 (=> @t850 @t440)))) % 1.13/1.40 (assume @p789 (forall @t799 (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t40 @t151) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t300 @t154) (tptp.c_Orderings_Oord__class_Oless @t34 @t583 @t804)))))) % 1.13/1.40 (assume @p790 (forall (@list @t122 @t21 @t99) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t99) (=> @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t115 @t21) (tptp.hAPP @t115 @t122)))))) % 1.13/1.40 (assume @p791 (forall @t298 (=> @t913 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t122) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t410))))) % 1.13/1.40 (assume @p792 (forall @t917 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t915 @t914) @t867)))) % 1.13/1.40 (assume @p793 (forall @t360 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t477)) @t359))) % 1.13/1.40 (assume @p794 (forall @t52 (=> @t544 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t556 @t341))))) % 1.13/1.40 (assume @p795 (forall @t362 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t356) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t133)))) % 1.13/1.40 (assume @p796 (forall @t360 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t357 @t341) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t130 @t341)))) % 1.13/1.40 (assume @p797 (forall @t27 (=> @t913 (not @t367)))) % 1.13/1.40 (assume @p798 (forall @t27 (=> @t913 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t364)))) % 1.13/1.40 (assume @p799 (forall @t360 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t357 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t130 @t7)))) % 1.13/1.40 (assume @p800 (forall @t362 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t356) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t133)))) % 1.13/1.40 (assume @p801 (forall @t541 (=> @t464 (=> @t853 (= @t918 @t348))))) % 1.13/1.40 (assume @p802 (forall @t541 (=> @t464 (=> @t849 (= @t918 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t201 @t205)))))) % 1.13/1.40 (assume @p803 (forall @t176 (=> @t838 (=> @t836 (=> @t892 (=> @t843 @t920)))))) % 1.13/1.40 (assume @p804 (forall @t176 (=> @t838 (=> @t836 (=> @t892 (=> @t398 @t920)))))) % 1.13/1.40 (assume @p805 (forall @t176 (=> @t838 (=> @t836 (=> @t538 (=> @t398 (=> @t835 @t919))))))) % 1.13/1.40 (assume @p806 (forall @t176 (=> @t838 (=> @t402 (=> @t892 (=> @t850 @t920)))))) % 1.13/1.40 (assume @p807 (forall @t537 (=> @t923 @t922))) % 1.13/1.40 (assume @p808 (forall @t537 (=> @t838 @t922))) % 1.13/1.40 (assume @p809 (forall @t535 (=> @t923 @t924))) % 1.13/1.40 (assume @p810 (forall @t535 (=> @t838 @t924))) % 1.13/1.40 (assume @p811 (forall @t537 (=> @t838 (=> @t595 @t925)))) % 1.13/1.40 (assume @p812 (forall @t535 (=> @t838 (=> @t600 @t925)))) % 1.13/1.40 (assume @p813 (forall @t98 (=> @t430 (=> @t439 @t856)))) % 1.13/1.40 (assume @p814 (forall @t98 (=> @t430 (=> @t841 (=> @t438 @t855))))) % 1.13/1.40 (assume @p815 (forall @t174 (=> @t430 (=> @t398 @t864)))) % 1.13/1.40 (assume @p816 (forall @t174 (=> @t430 (=> @t850 (=> @t434 @t862))))) % 1.13/1.40 (assume @p817 (forall @t98 (=> @t430 (=> @t398 @t858)))) % 1.13/1.40 (assume @p818 (forall @t98 (=> @t430 (=> @t850 (=> @t397 @t857))))) % 1.13/1.40 (assume @p819 (forall @t284 (=> @t486 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t485 @t307))))) % 1.13/1.40 (assume @p820 (forall @t250 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t463) @t927)))) % 1.13/1.40 (assume @p821 (forall @t401 (=> @t141 (=> @t901 (=> @t397 @t836))))) % 1.13/1.40 (assume @p822 (forall @t45 (=> @t141 (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t242)))) % 1.13/1.40 (assume @p823 (forall @t284 (=> @t822 (=> @t530 (=> @t908 @t928))))) % 1.13/1.40 (assume @p824 (forall @t284 (=> @t822 (=> @t530 (=> @t905 @t929))))) % 1.13/1.40 (assume @p825 (forall @t933 (=> @t822 (=> @t909 (=> @t488 (=> @t932 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t28 @t99) @t931))))))) % 1.13/1.40 (assume @p826 (forall @t933 (=> @t822 (=> @t530 (=> @t877 (=> @t932 (=> @t934 @t931))))))) % 1.13/1.40 (assume @p827 (forall @t933 (=> @t822 (=> @t530 (=> @t488 (=> @t932 (=> @t934 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t810 @t930)))))))) % 1.13/1.40 (assume @p828 (forall @t284 (=> @t822 (=> @t935 (=> @t908 @t929))))) % 1.13/1.40 (assume @p829 (forall @t284 (=> @t822 (=> @t935 (=> @t905 @t928))))) % 1.13/1.40 (assume @p830 (forall @t610 (=> @t594 (= @t936 (tptp.c_Orderings_Oord__class_Oless @t34 @t200 @t606))))) % 1.13/1.40 (assume @p831 (forall @t610 (=> @t594 (= @t936 (tptp.c_Orderings_Oord__class_Oless @t34 @t611 @t204))))) % 1.13/1.40 (assume @p832 (forall @t512 (=> @t818 (= @t941 (and (=> @t853 @t940) (=> @t939 (and (=> @t849 @t938) (=> @t937 @t859)))))))) % 1.13/1.40 (assume @p833 (forall @t820 (=> @t818 (= @t942 (and (=> @t853 @t938) (=> @t939 (and (=> @t849 @t940) (=> @t937 @t861)))))))) % 1.13/1.40 (assume @p834 (forall @t541 (=> @t822 (=> @t853 (= @t941 @t940))))) % 1.13/1.40 (assume @p835 (forall @t777 (=> @t822 (=> @t853 (= @t942 @t938))))) % 1.13/1.40 (assume @p836 (forall @t495 (=> @t822 (=> @t908 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t809) (tptp.c_Orderings_Oord__class_Oless @t34 @t814 @t99)))))) % 1.13/1.40 (assume @p837 (forall @t825 (=> @t822 (=> @t908 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t809 @t21) (tptp.c_Orderings_Oord__class_Oless @t34 @t99 @t814)))))) % 1.13/1.40 (assume @p838 (forall @t541 (=> @t822 (=> @t849 (= @t941 @t938))))) % 1.13/1.40 (assume @p839 (forall @t777 (=> @t822 (=> @t849 (= @t942 @t940))))) % 1.13/1.40 (assume @p840 (forall @t501 (=> @t822 (=> @t833 (=> @t835 @t945))))) % 1.13/1.40 (assume @p841 (forall @t174 (=> @t822 (=> @t836 (=> @t832 @t945))))) % 1.13/1.40 (assume @p842 (forall @t119 (=> @t141 (=> @t871 (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t273))))) % 1.13/1.40 (assume @p843 (forall @t119 (=> @t141 (=> @t871 (tptp.c_Orderings_Oord__class_Oless @t34 @t116 @t273))))) % 1.13/1.40 (assume @p844 (forall @t98 (=> @t822 (=> @t836 (tptp.c_Orderings_Oord__class_Oless @t34 @t33 @t946))))) % 1.13/1.40 (assume @p845 (forall @t98 (=> @t822 (=> @t836 (tptp.c_Orderings_Oord__class_Oless @t34 @t946 @t94))))) % 1.13/1.40 (assume @p846 (forall @t119 (=> @t141 (=> @t871 (tptp.c_Orderings_Oord__class_Oless @t34 @t42 @t400))))) % 1.13/1.40 (assume @p847 (forall (@list @t947 @t205 @t130 @t34) (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t130 @t205)) @t947) (and (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t205 @t947) @t130) (tptp.c_Orderings_Oord__class_Oless @t34 @t130 (tptp.c_Groups_Oplus__class_Oplus @t34 @t205 @t947))))))) % 1.13/1.40 (assume @p848 (forall @t497 (=> @t818 (=> @t908 (= (tptp.c_Rings_Oinverse__class_Odivide @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t21) @t122) (tptp.c_Groups_Oabs__class_Oabs @t34 @t814)))))) % 1.13/1.40 (assume @p849 (forall @t132 (=> @t544 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t581) @t926)))) % 1.13/1.40 (assume @p850 (forall @t917 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t915 @t914) @t368)))) % 1.13/1.40 (assume @p851 (forall @t917 (=> @t916 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t948 @t130) (tptp.hAPP @t948 @t133)) @t368)))) % 1.13/1.40 (assume @p852 (forall @t952 (=> @t560 (=> @t951 (=> @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t615 (tptp.hAPP @t768 @t949))))))) % 1.13/1.40 (assume @p853 (forall @t952 (=> @t544 (=> @t951 (=> @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t623 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t448 @t949))))))) % 1.13/1.40 (assume @p854 (forall @t27 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t309 @t7) @t21)))) % 1.13/1.40 (assume @p855 (forall @t298 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t309 @t7) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t310 @t7) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t826 @t865) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t297 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t410)))))))) % 1.13/1.40 (assume @p856 (forall @t174 (=> @t818 (=> @t402 (=> @t602 @t953))))) % 1.13/1.40 (assume @p857 (forall @t501 (=> @t822 (=> @t435 (=> @t436 @t953))))) % 1.13/1.40 (assume @p858 (forall @t777 (=> @t822 (=> @t849 (= @t955 @t954))))) % 1.13/1.40 (assume @p859 (forall @t541 (=> @t822 (=> @t849 (= @t957 @t956))))) % 1.13/1.40 (assume @p860 (forall @t825 (=> @t822 (=> @t908 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t809 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t99 @t814)))))) % 1.13/1.40 (assume @p861 (forall @t495 (=> @t822 (=> @t908 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t21 @t809) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t814 @t99)))))) % 1.13/1.40 (assume @p862 (forall @t777 (=> @t822 (=> @t853 (= @t955 @t956))))) % 1.13/1.40 (assume @p863 (forall @t541 (=> @t822 (=> @t853 (= @t957 @t954))))) % 1.13/1.40 (assume @p864 (forall @t820 (=> @t818 (= @t955 (and (=> @t853 @t956) (=> @t939 (and (=> @t849 @t954) (=> @t937 @t428)))))))) % 1.13/1.40 (assume @p865 (forall @t512 (=> @t818 (= @t957 (and (=> @t853 @t954) (=> @t939 (and (=> @t849 @t956) (=> @t937 @t429)))))))) % 1.13/1.40 (assume @p866 (forall @t119 (=> @t141 (=> @t850 (=> @t868 (tptp.c_Orderings_Oord__class_Oless @t34 @t273 @t116)))))) % 1.13/1.40 (assume @p867 (forall @t790 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t788 @t205) (and (=> @t961 @t963) (=> @t962 (and (=> @t958 @t960) (=> @t959 @t861)))))))) % 1.13/1.40 (assume @p868 (forall @t793 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t773 @t247) (and (=> @t853 @t966) (=> @t939 (and (=> @t849 @t965) (=> @t937 @t961)))))))) % 1.13/1.40 (assume @p869 (forall @t794 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t247 @t773) (and (=> @t853 @t965) (=> @t939 (and (=> @t849 @t966) (=> @t937 @t958)))))))) % 1.13/1.40 (assume @p870 (forall @t795 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t205 @t788) (and (=> @t961 @t960) (=> @t962 (and (=> @t958 @t963) (=> @t959 @t859)))))))) % 1.13/1.40 (assume @p871 (forall @t119 (=> @t141 (=> @t850 (=> @t868 (tptp.c_Orderings_Oord__class_Oless @t34 @t400 @t42)))))) % 1.13/1.40 (assume @p872 (forall @t900 (=> @t141 (=> @t899 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t898 @t897) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130 @t133)))))) % 1.13/1.40 (assume @p873 (forall @t293 (=> @t141 (=> @t871 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t290 @t116) @t640))))) % 1.13/1.40 (assume @p874 (forall @t27 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t309)))) % 1.13/1.40 (assume @p875 (forall @t550 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t34) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t21 @t33) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t122 @t33) (=> @t549 (=> @t548 (=> @t547 (tptp.c_Orderings_Oord__class_Oless @t34 @t546 @t33))))))))) % 1.13/1.40 (assume @p876 (forall @t790 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t788 @t205) (and (=> @t961 @t968) (=> @t962 (and (=> @t958 @t967) (=> @t959 @t428)))))))) % 1.13/1.40 (assume @p877 (forall @t793 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t773 @t247) (and (=> @t853 @t970) (=> @t939 (and (=> @t849 @t969) (=> @t937 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t307 @t247))))))))) % 1.13/1.40 (assume @p878 (forall @t794 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t247 @t773) (and (=> @t853 @t969) (=> @t939 (and (=> @t849 @t970) (=> @t937 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t247 @t307))))))))) % 1.13/1.40 (assume @p879 (forall @t795 (=> @t964 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t205 @t788) (and (=> @t961 @t967) (=> @t962 (and (=> @t958 @t968) (=> @t959 @t429)))))))) % 1.13/1.40 (assume @p880 (forall (@list @t947 @t34) (=> @t971 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t947 @t260)) (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t947))))) % 1.13/1.40 (assume @p881 (forall (@list @t448 @t34) (=> @t971 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t448) (tptp.c_Orderings_Oord__class_Oless @t34 @t307 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t448 @t260)))))) % 1.13/1.40 (assume @p882 (forall @t39 (=> @t38 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t37 @t307))))) % 1.13/1.40 (assume @p883 (forall @t391 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t528) @t912)))) % 1.13/1.40 (assume @p884 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t478)) % 1.13/1.40 (assume @p885 (forall @t298 (=> @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t972)))) % 1.13/1.40 (assume @p886 (forall @t298 (=> @t866 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t972 @t122)))) % 1.13/1.40 (assume @p887 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t478)) % 1.13/1.40 (assume @p888 (forall @t284 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t47 @t281) (=> @t529 @t877))))) % 1.13/1.40 (assume @p889 (forall @t45 (=> @t971 (tptp.c_Orderings_Oord__class_Oless @t34 @t307 (tptp.c_Rings_Oinverse__class_Odivide @t34 @t42 @t260))))) % 1.13/1.40 (assume @p890 (forall @t284 (=> @t38 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t282 @t307))))) % 1.13/1.40 (assume @p891 (forall @t250 (=> @t38 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t307 @t531) @t927)))) % 1.13/1.40 (assume @p892 (forall @t27 (=> @t913 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 @t480)))) % 1.13/1.40 (assume @p893 (forall (@list @t545) (=> @t829 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t830 @t545)))) % 1.13/1.40 (assume @p894 (forall @t27 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t309 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t7)))) % 1.13/1.40 (assume @p895 (forall @t119 (=> @t38 (=> @t841 (tptp.c_Orderings_Oord__class_Oless @t34 @t516 @t307))))) % 1.13/1.40 (assume @p896 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t25) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t26 (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t7 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit1 @t9))))) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t7 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit1 (tptp.c_Int_OBit0 (tptp.c_Int_OBit1 @t63)))))))))))) % 1.13/1.40 (assume @p897 (forall @t757 (= (tptp.c_Complex_Ocomplex_Ocomplex__rec @t34 @t755 @t521) @t756))) % 1.13/1.40 (assume @p898 (forall @t27 (=> @t365 (= (tptp.c_RComplete_Onatceiling (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t7)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t21) @t72))))) % 1.13/1.40 (assume @p899 (forall @t19 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t318)))) % 1.13/1.40 (assume @p900 (forall @t266 (=> @t895 @t973))) % 1.13/1.40 (assume @p901 (forall @t19 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t369))) % 1.13/1.40 (assume @p902 (forall @t19 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t369))) % 1.13/1.40 (assume @p903 (forall @t107 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t727 @t104) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t104)))) % 1.13/1.40 (assume @p904 (forall (@list @t17 @t216 @t252 @t104) (=> @t974 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t252) @t707) @t895)))) % 1.13/1.40 (assume @p905 (forall @t689 (=> @t975 (=> @t974 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t687))))) % 1.13/1.40 (assume @p906 (forall @t107 (=> @t975 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t686 @t685)))) % 1.13/1.40 (assume @p907 (forall @t683 (=> @t975 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t684)))) % 1.13/1.40 (assume @p908 (forall @t683 (=> @t975 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t682)))) % 1.13/1.40 (assume @p909 (forall @t637 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t636 @t635) @t976))) % 1.13/1.40 (assume @p910 (forall (@list @t105 @t106) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t722 @t105)))) % 1.13/1.40 (assume @p911 (forall (@list @t106 @t105) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t727 @t105)))) % 1.13/1.40 (assume @p912 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.c_Transcendental_Opi @t341))) % 1.13/1.40 (assume @p913 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t341 tptp.c_Transcendental_Opi)) % 1.13/1.40 (assume @p914 (forall @t652 (= @t374 @t977))) % 1.13/1.40 (assume @p915 (forall @t266 (=> @t895 @t406))) % 1.13/1.40 (assume @p916 (forall (@list @t17 @t104 @t106) (=> @t978 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t17) @t104)))) % 1.13/1.40 (assume @p917 (forall @t711 (=> @t895 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t216 @t252) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t710 @t709))))) % 1.13/1.40 (assume @p918 (forall @t19 (=> @t406 @t870))) % 1.13/1.40 (assume @p919 (forall @t269 (= @t976 (and @t657 @t979)))) % 1.13/1.40 (assume @p920 (forall @t269 (= @t657 @t980))) % 1.13/1.40 (assume @p921 (forall @t266 (=> @t895 @t640))) % 1.13/1.40 (assume @p922 (forall @t266 (=> @t640 (=> @t981 @t895)))) % 1.13/1.40 (assume @p923 (forall @t266 (=> (or @t895 @t641) @t640))) % 1.13/1.40 (assume @p924 (forall @t19 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t17)))) % 1.13/1.40 (assume @p925 (forall @t269 (= @t979 (or @t976 @t982)))) % 1.13/1.40 (assume @p926 (forall @t298 (=> @t880 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t122)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t21))))) % 1.13/1.40 (assume @p927 (forall @t677 (=> @t983 @t981))) % 1.13/1.40 (assume @p928 (forall (@list @t984 @t949) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t949 @t984) (not (= @t949 @t984))))) % 1.13/1.40 (assume @p929 (forall (@list @t985 @t267 @t268) (=> (=> @t976 @t986) (=> (=> @t634 @t986) (=> (=> @t982 @t986) @t986))))) % 1.13/1.40 (assume @p930 (forall @t266 (=> @t973 @t895))) % 1.13/1.40 (assume @p931 (forall @t266 (=> @t987 @t895))) % 1.13/1.40 (assume @p932 (forall @t266 (=> @t988 (=> (not @t895) @t641)))) % 1.13/1.40 (assume @p933 (forall @t107 (=> @t975 (=> @t978 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t105) @t104))))) % 1.13/1.40 (assume @p934 (forall @t266 (=> @t895 (=> (not (= @t647 @t17)) @t987)))) % 1.13/1.40 (assume @p935 (forall @t266 (=> @t895 @t988))) % 1.13/1.40 (assume @p936 (forall @t677 (=> (not @t983) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t17 @t647) @t641)))) % 1.13/1.40 (assume @p937 (forall @t659 (=> (not @t982) @t990))) % 1.13/1.40 (assume @p938 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t658 @t337) @t976))) % 1.13/1.40 (assume @p939 (forall @t269 (= @t991 @t980))) % 1.13/1.40 (assume @p940 (forall @t269 (= (not @t976) @t989))) % 1.13/1.40 (assume @p941 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin))) % 1.13/1.40 (assume @p942 (forall @t298 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t122) @t496 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t122 @t21)))) % 1.13/1.40 (assume @p943 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t167 @t166) @t992))) % 1.13/1.40 (assume @p944 (forall @t107 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t105 @t106) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t104) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 @t104))))) % 1.13/1.40 (assume @p945 (forall (@list @t219 @t218) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t218 @t219) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t218 @t219) (not (= @t218 @t219)))))) % 1.13/1.40 (assume @p946 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t191 @t190) @t993))) % 1.13/1.40 (assume @p947 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 @t188) @t992))) % 1.13/1.40 (assume @p948 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.13/1.40 (assume @p949 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t186 @t185) @t993))) % 1.13/1.40 (assume @p950 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t181 @t180) @t992))) % 1.13/1.40 (assume @p951 (forall @t197 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t195) (and (=> @t994 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t194)) @t994)))) % 1.13/1.40 (assume @p952 (forall @t508 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t490 @t2 @t1) (and @t491 (not (tptp.c_Orderings_Oord__class_Oless__eq @t490 @t1 @t2))))))) % 1.13/1.40 (assume @p953 (forall @t515 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t196) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t192)))) % 1.13/1.40 (assume @p954 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t341 tptp.c_Transcendental_Opi)) % 1.13/1.40 (assume @p955 (not (= tptp.c_Transcendental_Opi @t341))) % 1.13/1.40 (assume @p956 (forall @t996 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t219) @t313) @t995))) % 1.13/1.40 (assume @p957 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t181 tptp.c_Int_OPls) @t997))) % 1.13/1.40 (assume @p958 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t313))) % 1.13/1.40 (assume @p959 (forall @t187 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t186 @t190) @t993))) % 1.13/1.40 (assume @p960 (forall @t168 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t181 @t188) @t992))) % 1.13/1.40 (assume @p961 (forall @t996 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t219) @t313) @t995))) % 1.13/1.40 (assume @p962 (forall @t269 (= @t991 (or @t333 (exists (@list @t998) (and (= @t268 (tptp.c_Nat_OSuc @t998)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t998 @t267))))))) % 1.13/1.40 (assume @p963 (forall @t652 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t267 @t327) @t373))) % 1.13/1.40 (assume @p964 (forall @t652 (= @t977 (exists (@list @t999) (= @t267 (tptp.c_Nat_OSuc @t999)))))) % 1.13/1.40 (assume @p965 (forall @t27 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t395) (or (= @t21 @t318) (= @t21 @t327))))) % 1.13/1.40 (assume @p966 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 tptp.c_Int_OPls) @t997))) % 1.13/1.40 (assume @p967 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t164)))) % 1.13/1.40 (assume @p968 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t651) (or @t1000 @t977)))) % 1.13/1.40 (assume @p969 (forall @t1001 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t216))))) % 1.13/1.40 (assume @p970 (forall @t1001 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t216 @t105))))) % 1.13/1.40 (assume @p971 (forall @t269 (= @t976 (exists @t681 (= @t267 (tptp.c_Nat_OSuc @t680)))))) % 1.13/1.40 (assume @p972 (forall @t266 (=> @t661 @t895))) % 1.13/1.40 (assume @p973 (forall @t269 (=> @t657 @t990))) % 1.13/1.40 (assume @p974 (forall @t266 (=> @t895 @t661))) % 1.13/1.40 (assume @p975 (forall @t266 (=> @t640 @t988))) % 1.13/1.40 (assume @p976 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t658 @t267) @t976))) % 1.13/1.40 (assume @p977 (forall @t269 (= @t991 @t657))) % 1.13/1.40 (assume @p978 (forall @t659 (= @t982 @t656))) % 1.13/1.40 (assume @p979 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t313 @t264)) % 1.13/1.40 (assume @p980 (forall @t269 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t663) (and @t1000 @t977)))) % 1.13/1.40 (assume @p981 (forall @t637 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t668 @t667) @t1002))) % 1.13/1.40 (assume @p982 (forall @t638 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t671 @t670) @t1002))) % 1.13/1.40 (assume @p983 (forall @t107 (=> @t975 (=> @t1003 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t704 @t702))))) % 1.13/1.40 (assume @p984 (forall @t107 (=> @t975 (=> @t1003 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t706 @t705))))) % 1.13/1.40 (assume @p985 (forall @t1007 (=> (tptp.class_Orderings_Opreorder @t1004) (tptp.class_Orderings_Opreorder @t1006)))) % 1.13/1.40 (assume @p986 (forall @t1007 (=> (tptp.class_Orderings_Oorder @t1004) (tptp.class_Orderings_Oorder @t1006)))) % 1.13/1.40 (assume @p987 (forall @t1007 (=> (tptp.class_Orderings_Oord @t1004) (tptp.class_Orderings_Oord @t1006)))) % 1.13/1.40 (assume @p988 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p989 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p990 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p991 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p992 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p993 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p995 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p996 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p997 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p998 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p999 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1000 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1001 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1002 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1003 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1005 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1006 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1007 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1008 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1009 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1010 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1011 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1012 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1013 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1014 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1015 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1016 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1017 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1018 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1019 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1020 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1021 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1022 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1023 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1024 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1025 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1026 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1027 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1028 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1029 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1030 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1031 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1032 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1033 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1034 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1035 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1036 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1037 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1038 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1039 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1040 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1041 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1042 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.13/1.40 (assume @p1043 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1044 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1045 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1046 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1047 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1048 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1049 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1050 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1051 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1052 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1053 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1054 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1055 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1056 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1057 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1058 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1059 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1060 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1061 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1062 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1063 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1064 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1065 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1066 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1067 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1068 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1069 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1070 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1071 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1072 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1073 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1074 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1075 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1076 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1077 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1078 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.13/1.40 (assume @p1079 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.13/1.40 (assume @p1080 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.13/1.40 (assume @p1081 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.13/1.40 (assume @p1082 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1083 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1084 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1085 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1086 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1087 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1088 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1089 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1090 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1091 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1092 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1093 @t1008) % 1.13/1.40 (assume @p1094 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1095 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1096 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1097 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1098 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1099 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1100 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1101 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1102 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1103 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1104 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1106 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1107 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1108 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1109 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1110 @t1009) % 1.13/1.40 (assume @p1111 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1112 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1113 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1114 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1115 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1116 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1117 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1119 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1120 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1121 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1122 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1123 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1124 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1125 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1126 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1127 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1128 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1129 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1130 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1131 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1132 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1133 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1134 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1135 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1136 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1137 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1138 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1139 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1140 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1141 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1142 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1143 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1144 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1145 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1146 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1147 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1148 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.40 (assume @p1149 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1150 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1151 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1152 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1153 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1154 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1155 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1156 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1157 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1158 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1159 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1160 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1161 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1162 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1163 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1164 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1165 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1166 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1167 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1168 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1169 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1170 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1171 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1172 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1173 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1174 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1175 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1176 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1177 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1178 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1179 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1180 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1181 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1182 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1183 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1184 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1185 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1186 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1187 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1188 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.40 (assume @p1189 (not @t1010)) % 1.13/1.40 (assume @p1190 true) % 1.13/1.40 (step @p1191 :rule aci_norm :args ((= (or @t1013 @t1014) (or @t1013 @t1012 @t1011 @t469)))) % 1.13/1.40 (step @p1192 :rule aci_norm :args ((= (or @t1012 (or @t1011 @t469)) @t1014))) % 1.13/1.40 (step @p1193 :rule bool-impl-elim :args (@t398 @t469)) % 1.13/1.40 (step @p1194 :rule refl :args (@t1012)) % 1.13/1.40 (step @p1195 :rule nary_cong :premises (@p1194 @p1193) :args ((or @t1012 @t470))) % 1.13/1.40 (step @p1196 :rule trans :premises (@p1195 @p1192)) % 1.13/1.40 (step @p1197 :rule bool-impl-elim :args (@t402 @t470)) % 1.13/1.40 (step @p1198 :rule trans :premises (@p1197 @p1196)) % 1.13/1.40 (step @p1199 :rule refl :args (@t1013)) % 1.13/1.40 (step @p1200 :rule nary_cong :premises (@p1199 @p1198) :args ((or @t1013 @t471))) % 1.13/1.40 (step @p1201 :rule trans :premises (@p1200 @p1191)) % 1.13/1.40 (step @p1202 :rule bool-impl-elim :args (@t141 @t471)) % 1.13/1.40 (step @p1203 :rule trans :premises (@p1202 @p1201)) % 1.13/1.40 (step @p1204 :rule cong :premises (@p1203) :args (@t472)) % 0.20/1.40 (step @p1205 :rule eq_resolve :premises (@p306 @p1204)) % 0.20/1.40 (step @p1206 :rule instantiate :premises (@p1205) :args ((@list @t20 @t7 @t14 tptp.tc_RealDef_Oreal))) % 0.20/1.40 (step @p1207 :rule bool-impl-elim :args (@t302 @t441)) % 0.20/1.40 (step @p1208 :rule cong :premises (@p1207) :args (@t442)) % 0.20/1.40 (step @p1209 :rule eq_resolve :premises (@p266 @p1208)) % 0.20/1.40 (step @p1210 :rule instantiate :premises (@p1209) :args ((@list @t13 tptp.tc_RealDef_Oreal))) % 0.20/1.40 (step @p1211 :rule cnf_or_pos :args (@t1017)) % 0.20/1.40 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t1016 @t1015 (not @t1017)))) % 0.20/1.40 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p1093 @p1210) :args (@t1015 (@list false false) (@list @t1008 @t1017))) % 0.20/1.40 (step @p1214 :rule cnf_or_pos :args (@t1021)) % 0.20/1.40 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t1010 @t1019 @t1020 @t1018 (not @t1021)))) % 0.20/1.40 (step @p1216 false :rule chain_m_resolution :premises (@p1215 @p1213 @p1206 @p1189 @p1110 @p2) :args (false (@list false false true false false) (@list @t1015 @t1021 @t1010 @t1009 @t15))) % 0.20/1.40 ) % 0.20/1.40 % SZS output end Proof % 0.20/1.40 % cvc5 exiting %------------------------------------------------------------------------------