%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW197+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:04:30 AM UTC 2026 % Result : Theorem 1.14s 1.40s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW197+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 21:38:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.14/1.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.14/1.40 % SZS status Theorem % 1.14/1.40 % SZS output start Proof % 1.14/1.40 ( % 1.14/1.40 (declare-sort $$unsorted 0) % 1.14/1.40 (declare-const tptp.c_Int_Osucc (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Int_OPls $$unsorted) % 1.14/1.40 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Nat__Numeral_Oneg (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.14/1.40 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Parity_Oeven__odd__class_Oeven (-> $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.14/1.40 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.14/1.40 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.14/1.40 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.v_n $$unsorted) % 1.14/1.40 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Int_Onat $$unsorted) % 1.14/1.40 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.v_b $$unsorted) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.14/1.40 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.v_na____ $$unsorted) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.v_m____ $$unsorted) % 1.14/1.40 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.14/1.40 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.v_z____ $$unsorted) % 1.14/1.40 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.14/1.40 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.40 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.14/1.40 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.14/1.40 (define @t3 () (@var "B_x" $$unsorted)) % 1.14/1.40 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.14/1.40 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.14/1.40 (define @t6 () (@list @t3)) % 1.14/1.40 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.14/1.40 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.14/1.40 (define @t9 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.14/1.40 (define @t10 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.14/1.40 (define @t11 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.14/1.40 (define @t12 () (tptp.hAPP @t11 tptp.v_b)) % 1.14/1.40 (define @t13 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.14/1.40 (define @t14 () (@var "V_n" $$unsorted)) % 1.14/1.40 (define @t15 () (@var "V_a" $$unsorted)) % 1.14/1.40 (define @t16 () (@var "T_a" $$unsorted)) % 1.14/1.40 (define @t17 () (tptp.c_Power_Opower__class_Opower @t16)) % 1.14/1.40 (define @t18 () (tptp.hAPP @t17 @t15)) % 1.14/1.40 (define @t19 () (tptp.hAPP @t18 @t14)) % 1.14/1.40 (define @t20 () (tptp.c_Groups_Otimes__class_Otimes @t16)) % 1.14/1.40 (define @t21 () (tptp.hAPP @t20 @t15)) % 1.14/1.40 (define @t22 () (tptp.hAPP @t21 @t19)) % 1.14/1.40 (define @t23 () (tptp.c_Groups_Oone__class_Oone @t16)) % 1.14/1.40 (define @t24 () (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t15)) % 1.14/1.40 (define @t25 () (tptp.class_Rings_Olinordered__semidom @t16)) % 1.14/1.40 (define @t26 () (@list @t14 @t15 @t16)) % 1.14/1.40 (define @t27 () (@var "B_z" $$unsorted)) % 1.14/1.40 (define @t28 () (tptp.hAPP @t10 @t27)) % 1.14/1.40 (define @t29 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 (tptp.hAPP @t12 (tptp.hAPP @t28 tptp.v_m____)))) @t9)) % 1.14/1.40 (define @t30 () (@list @t27)) % 1.14/1.40 (define @t31 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t16)) % 1.14/1.40 (define @t32 () (@list @t16)) % 1.14/1.40 (define @t33 () (@var "V_s" $$unsorted)) % 1.14/1.40 (define @t34 () (@var "V_r" $$unsorted)) % 1.14/1.40 (define @t35 () (@var "V_y" $$unsorted)) % 1.14/1.40 (define @t36 () (@var "V_x" $$unsorted)) % 1.14/1.40 (define @t37 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t35)) % 1.14/1.40 (define @t38 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t37)) % 1.14/1.40 (define @t39 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t35)) % 1.14/1.40 (define @t40 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t33)) % 1.14/1.40 (define @t41 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t36)) % 1.14/1.40 (define @t42 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t34)) % 1.14/1.40 (define @t43 () (tptp.class_RealVector_Oreal__normed__vector @t16)) % 1.14/1.40 (define @t44 () (@list @t33 @t35 @t34 @t36 @t16)) % 1.14/1.40 (define @t45 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.14/1.40 (define @t46 () (tptp.hAPP @t20 @t36)) % 1.14/1.40 (define @t47 () (tptp.hAPP @t46 @t35)) % 1.14/1.40 (define @t48 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t47)) % 1.14/1.40 (define @t49 () (tptp.class_RealVector_Oreal__normed__algebra @t16)) % 1.14/1.40 (define @t50 () (@var "V_nb_2" $$unsorted)) % 1.14/1.40 (define @t51 () (@var "V_ma_2" $$unsorted)) % 1.14/1.40 (define @t52 () (= @t51 @t50)) % 1.14/1.40 (define @t53 () (@var "V_a_2" $$unsorted)) % 1.14/1.40 (define @t54 () (tptp.hAPP @t17 @t53)) % 1.14/1.40 (define @t55 () (tptp.hAPP @t54 @t50)) % 1.14/1.40 (define @t56 () (@var "V_y_2" $$unsorted)) % 1.14/1.40 (define @t57 () (@var "V_x_2" $$unsorted)) % 1.14/1.40 (define @t58 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t56)) % 1.14/1.40 (define @t59 () (@var "V_ba_2" $$unsorted)) % 1.14/1.40 (define @t60 () (tptp.hAPP @t17 @t59)) % 1.14/1.40 (define @t61 () (tptp.hAPP @t60 @t56)) % 1.14/1.40 (define @t62 () (tptp.hAPP @t60 @t57)) % 1.14/1.40 (define @t63 () (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t59)) % 1.14/1.40 (define @t64 () (@list @t56 @t57 @t59 @t16)) % 1.14/1.40 (define @t65 () (@var "V_m" $$unsorted)) % 1.14/1.40 (define @t66 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t14)) % 1.14/1.40 (define @t67 () (tptp.hAPP @t18 @t65)) % 1.14/1.40 (define @t68 () (@list @t14 @t65 @t15 @t16)) % 1.14/1.40 (define @t69 () (@var "V_N" $$unsorted)) % 1.14/1.40 (define @t70 () (tptp.hAPP @t18 @t69)) % 1.14/1.40 (define @t71 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t69)) % 1.14/1.40 (define @t72 () (@list @t15 @t69 @t14 @t16)) % 1.14/1.40 (define @t73 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t23 @t23)) % 1.14/1.40 (define @t74 () (tptp.hAPP @t20 @t73)) % 1.14/1.40 (define @t75 () (tptp.class_Rings_Ocomm__semiring__1 @t16)) % 1.14/1.40 (define @t76 () (@list @t65 @t16)) % 1.14/1.40 (define @t77 () (not (= tptp.v_m____ @t7))) % 1.14/1.40 (define @t78 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat tptp.v_m____ tptp.v_na____)) % 1.14/1.40 (define @t79 () (@var "B_m" $$unsorted)) % 1.14/1.40 (define @t80 () (@list @t79)) % 1.14/1.40 (define @t81 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.14/1.40 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t16)) % 1.14/1.40 (define @t83 () (= @t50 @t7)) % 1.14/1.40 (define @t84 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t57)) % 1.14/1.40 (define @t85 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.14/1.40 (define @t86 () (tptp.hAPP @t85 @t57)) % 1.14/1.40 (define @t87 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t86 @t50))) % 1.14/1.40 (define @t88 () (@list @t50 @t57)) % 1.14/1.40 (define @t89 () (= @t57 @t82)) % 1.14/1.40 (define @t90 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t57)) % 1.14/1.40 (define @t91 () (@list @t57 @t16)) % 1.14/1.40 (define @t92 () (not @t83)) % 1.14/1.40 (define @t93 () (= @t53 @t82)) % 1.14/1.40 (define @t94 () (tptp.class_Rings_Ozero__neq__one @t16)) % 1.14/1.40 (define @t95 () (tptp.class_Rings_Ono__zero__divisors @t16)) % 1.14/1.40 (define @t96 () (tptp.class_Rings_Omult__zero @t16)) % 1.14/1.40 (define @t97 () (tptp.class_Power_Opower @t16)) % 1.14/1.40 (define @t98 () (and @t97 @t96 @t95 @t94)) % 1.14/1.40 (define @t99 () (@list @t50 @t53 @t16)) % 1.14/1.40 (define @t100 () (@var "V_i" $$unsorted)) % 1.14/1.40 (define @t101 () (tptp.hAPP @t85 @t100)) % 1.14/1.40 (define @t102 () (@var "V_q" $$unsorted)) % 1.14/1.40 (define @t103 () (@var "V_p" $$unsorted)) % 1.14/1.40 (define @t104 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.14/1.40 (define @t105 () (tptp.hAPP @t104 @t103)) % 1.14/1.40 (define @t106 () (tptp.hAPP @t17 @t36)) % 1.14/1.40 (define @t107 () (tptp.hAPP @t106 @t103)) % 1.14/1.40 (define @t108 () (= (tptp.hAPP (tptp.hAPP @t17 @t107) @t102) (tptp.hAPP @t106 (tptp.hAPP @t105 @t102)))) % 1.14/1.40 (define @t109 () (@list @t102 @t103 @t36 @t16)) % 1.14/1.40 (define @t110 () (forall @t109 (=> @t75 @t108))) % 1.14/1.40 (define @t111 () (tptp.hAPP @t104 @t65)) % 1.14/1.40 (define @t112 () (tptp.hAPP @t111 @t14)) % 1.14/1.40 (define @t113 () (tptp.class_Groups_Omonoid__mult @t16)) % 1.14/1.40 (define @t114 () (@list @t36 @t16)) % 1.14/1.40 (define @t115 () (= (tptp.hAPP @t21 @t82) @t82)) % 1.14/1.40 (define @t116 () (@list @t15 @t16)) % 1.14/1.40 (define @t117 () (tptp.hAPP @t20 @t82)) % 1.14/1.40 (define @t118 () (@list @t35 @t16)) % 1.14/1.40 (define @t119 () (@var "V_b" $$unsorted)) % 1.14/1.40 (define @t120 () (= (tptp.hAPP @t117 @t15) @t82)) % 1.14/1.40 (define @t121 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t59 @t53)) % 1.14/1.40 (define @t122 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t16)) % 1.14/1.40 (define @t123 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t82) @t15)) % 1.14/1.40 (define @t124 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t82 @t15) @t15)) % 1.14/1.40 (define @t125 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.14/1.40 (define @t126 () (= @t15 @t82)) % 1.14/1.40 (define @t127 () (not @t126)) % 1.14/1.40 (define @t128 () (tptp.class_Rings_Oring__1__no__zero__divisors @t16)) % 1.14/1.40 (define @t129 () (tptp.hAPP @t17 @t82)) % 1.14/1.40 (define @t130 () (tptp.hAPP @t129 @t14)) % 1.14/1.40 (define @t131 () (= @t14 @t7)) % 1.14/1.40 (define @t132 () (not @t131)) % 1.14/1.40 (define @t133 () (and @t97 (tptp.class_Rings_Osemiring__0 @t16))) % 1.14/1.40 (define @t134 () (@list @t14 @t16)) % 1.14/1.40 (define @t135 () (not @t89)) % 1.14/1.40 (define @t136 () (tptp.hAPP @t106 @t102)) % 1.14/1.40 (define @t137 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t14)) % 1.14/1.40 (define @t138 () (@var "V_d" $$unsorted)) % 1.14/1.40 (define @t139 () (tptp.hAPP @t20 @t34)) % 1.14/1.40 (define @t140 () (@var "V_c" $$unsorted)) % 1.14/1.40 (define @t141 () (= @t15 @t119)) % 1.14/1.40 (define @t142 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t15)) % 1.14/1.40 (define @t143 () (tptp.c_Orderings_Oord__class_Oless @t16 @t15 @t23)) % 1.14/1.40 (define @t144 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t14)) % 1.14/1.40 (define @t145 () (@var "V_ry" $$unsorted)) % 1.14/1.40 (define @t146 () (@var "V_ly" $$unsorted)) % 1.14/1.40 (define @t147 () (tptp.hAPP @t20 @t146)) % 1.14/1.40 (define @t148 () (@var "V_rx" $$unsorted)) % 1.14/1.40 (define @t149 () (@var "V_lx" $$unsorted)) % 1.14/1.40 (define @t150 () (tptp.hAPP @t20 @t149)) % 1.14/1.40 (define @t151 () (tptp.hAPP @t20 (tptp.hAPP @t150 @t148))) % 1.14/1.40 (define @t152 () (tptp.hAPP @t20 @t148)) % 1.14/1.40 (define @t153 () (tptp.hAPP @t152 @t145)) % 1.14/1.40 (define @t154 () (tptp.hAPP @t20 (tptp.hAPP @t150 @t146))) % 1.14/1.40 (define @t155 () (tptp.hAPP @t154 @t153)) % 1.14/1.40 (define @t156 () (@list @t145 @t148 @t146 @t149 @t16)) % 1.14/1.40 (define @t157 () (tptp.hAPP @t154 @t148)) % 1.14/1.40 (define @t158 () (@list @t148 @t146 @t149 @t16)) % 1.14/1.40 (define @t159 () (tptp.hAPP @t150 @t153)) % 1.14/1.40 (define @t160 () (@list @t145 @t148 @t149 @t16)) % 1.14/1.40 (define @t161 () (tptp.hAPP @t20 @t119)) % 1.14/1.40 (define @t162 () (tptp.hAPP @t161 @t15)) % 1.14/1.40 (define @t163 () (tptp.hAPP @t21 @t119)) % 1.14/1.40 (define @t164 () (@list @t119 @t15 @t16)) % 1.14/1.40 (define @t165 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t119 @t138)) % 1.14/1.40 (define @t166 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t140)) % 1.14/1.40 (define @t167 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t140 @t138)) % 1.14/1.40 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t119)) % 1.14/1.40 (define @t169 () (@list @t138 @t140 @t119 @t15 @t16)) % 1.14/1.40 (define @t170 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t168 @t140)) % 1.14/1.40 (define @t171 () (@list @t140 @t119 @t15 @t16)) % 1.14/1.40 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t119 @t140)) % 1.14/1.40 (define @t173 () (= @t170 (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t172))) % 1.14/1.40 (define @t174 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t167)) % 1.14/1.40 (define @t175 () (@list @t138 @t140 @t15 @t16)) % 1.14/1.40 (define @t176 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t140 @t15)) % 1.14/1.40 (define @t177 () (@var "V_za_2" $$unsorted)) % 1.14/1.40 (define @t178 () (@var "V_w_2" $$unsorted)) % 1.14/1.40 (define @t179 () (tptp.hAPP @t20 @t57)) % 1.14/1.40 (define @t180 () (tptp.hAPP @t20 @t178)) % 1.14/1.40 (define @t181 () (tptp.hAPP @t20 @t168)) % 1.14/1.40 (define @t182 () (tptp.hAPP @t21 @t65)) % 1.14/1.40 (define @t183 () (@var "V_ya" $$unsorted)) % 1.14/1.40 (define @t184 () (tptp.hAPP @t20 @t35)) % 1.14/1.40 (define @t185 () (tptp.hAPP @t184 @t183)) % 1.14/1.40 (define @t186 () (tptp.hAPP @t46 @t183)) % 1.14/1.40 (define @t187 () (@list @t183 @t35 @t36 @t16)) % 1.14/1.40 (define @t188 () (@var "V_a_H" $$unsorted)) % 1.14/1.40 (define @t189 () (tptp.hAPP (tptp.hAPP @t20 @t188) @t119)) % 1.14/1.40 (define @t190 () (@list @t119 @t188 @t15 @t16)) % 1.14/1.40 (define @t191 () (tptp.hAPP @t161 @t140)) % 1.14/1.40 (define @t192 () (tptp.hAPP @t21 @t140)) % 1.14/1.40 (define @t193 () (= (tptp.hAPP @t181 @t140) (tptp.c_Groups_Oplus__class_Oplus @t16 @t192 @t191))) % 1.14/1.40 (define @t194 () (@var "V_c_2" $$unsorted)) % 1.14/1.40 (define @t195 () (tptp.hAPP @t20 @t59)) % 1.14/1.40 (define @t196 () (tptp.hAPP @t195 @t194)) % 1.14/1.40 (define @t197 () (@var "V_d_2" $$unsorted)) % 1.14/1.40 (define @t198 () (tptp.hAPP @t20 @t53)) % 1.14/1.40 (define @t199 () (tptp.hAPP @t198 @t194)) % 1.14/1.40 (define @t200 () (= @t194 @t197)) % 1.14/1.40 (define @t201 () (= @t53 @t59)) % 1.14/1.40 (define @t202 () (@list @t197 @t194 @t59 @t53 @t16)) % 1.14/1.40 (define @t203 () (@var "V_xa" $$unsorted)) % 1.14/1.40 (define @t204 () (tptp.hAPP @t20 @t203)) % 1.14/1.40 (define @t205 () (tptp.hAPP @t204 @t35)) % 1.14/1.40 (define @t206 () (tptp.hAPP @t204 @t36)) % 1.14/1.40 (define @t207 () (@list @t35 @t36 @t203 @t16)) % 1.14/1.40 (define @t208 () (@var "V_z" $$unsorted)) % 1.14/1.40 (define @t209 () (@list @t208 @t35 @t36 @t16)) % 1.14/1.40 (define @t210 () (@var "V_b_H" $$unsorted)) % 1.14/1.40 (define @t211 () (tptp.hAPP @t21 @t210)) % 1.14/1.40 (define @t212 () (@list @t210 @t119 @t15 @t16)) % 1.14/1.40 (define @t213 () (= (tptp.hAPP @t21 @t23) @t15)) % 1.14/1.40 (define @t214 () (= (tptp.hAPP (tptp.hAPP @t20 @t23) @t15) @t15)) % 1.14/1.40 (define @t215 () (tptp.hAPP @t17 @t35)) % 1.14/1.40 (define @t216 () (tptp.hAPP (tptp.hAPP @t17 @t119) @t14)) % 1.14/1.40 (define @t217 () (tptp.hAPP @t20 @t19)) % 1.14/1.40 (define @t218 () (tptp.class_Groups_Ocomm__monoid__mult @t16)) % 1.14/1.40 (define @t219 () (@list @t14 @t119 @t15 @t16)) % 1.14/1.40 (define @t220 () (tptp.hAPP @t17 @t23)) % 1.14/1.40 (define @t221 () (tptp.hAPP (tptp.hAPP @t45 @t41) @t39)) % 1.14/1.40 (define @t222 () (tptp.class_RealVector_Oreal__normed__div__algebra @t16)) % 1.14/1.40 (define @t223 () (@list @t35 @t36 @t16)) % 1.14/1.40 (define @t224 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.14/1.40 (define @t225 () (tptp.hAPP (tptp.hAPP @t224 @t41) @t14)) % 1.14/1.40 (define @t226 () (tptp.hAPP @t106 @t14)) % 1.14/1.40 (define @t227 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t226)) % 1.14/1.40 (define @t228 () (@list @t14 @t36 @t16)) % 1.14/1.40 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t23)) % 1.14/1.40 (define @t230 () (tptp.hAPP (tptp.hAPP @t20 @t229) @t65)) % 1.14/1.40 (define @t231 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t57)) % 1.14/1.40 (define @t232 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t50)) % 1.14/1.40 (define @t233 () (not @t232)) % 1.14/1.40 (define @t234 () (tptp.hAPP @t17 @t57)) % 1.14/1.40 (define @t235 () (tptp.hAPP @t234 @t50)) % 1.14/1.40 (define @t236 () (tptp.class_Rings_Olinordered__idom @t16)) % 1.14/1.40 (define @t237 () (@list @t50 @t57 @t16)) % 1.14/1.40 (define @t238 () (@list @t14)) % 1.14/1.40 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t82)) % 1.14/1.40 (define @t240 () (= @t56 @t82)) % 1.14/1.40 (define @t241 () (or @t135 (not @t240))) % 1.14/1.40 (define @t242 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t179 @t57) (tptp.hAPP (tptp.hAPP @t20 @t56) @t56))) % 1.14/1.40 (define @t243 () (tptp.class_Rings_Olinordered__ring__strict @t16)) % 1.14/1.40 (define @t244 () (@list @t56 @t57 @t16)) % 1.14/1.40 (define @t245 () (tptp.hAPP @t46 @t36)) % 1.14/1.40 (define @t246 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t245 (tptp.hAPP @t184 @t35))) % 1.14/1.40 (define @t247 () (tptp.class_Rings_Olinordered__ring @t16)) % 1.14/1.40 (define @t248 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t57)) % 1.14/1.40 (define @t249 () (@list @t56 @t57)) % 1.14/1.40 (define @t250 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t14)) % 1.14/1.40 (define @t251 () (not @t250)) % 1.14/1.40 (define @t252 () (tptp.hAPP @t20 @t65)) % 1.14/1.40 (define @t253 () (@list @t14 @t65 @t16)) % 1.14/1.40 (define @t254 () (and (= @t51 @t125) (= @t50 @t125))) % 1.14/1.40 (define @t255 () (tptp.hAPP @t104 @t51)) % 1.14/1.40 (define @t256 () (tptp.hAPP @t255 @t50)) % 1.14/1.40 (define @t257 () (@list @t50 @t51)) % 1.14/1.40 (define @t258 () (tptp.hAPP @t104 @t14)) % 1.14/1.40 (define @t259 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t65)) % 1.14/1.40 (define @t260 () (@list @t14 @t65)) % 1.14/1.40 (define @t261 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t35 @t208)) % 1.14/1.40 (define @t262 () (@list @t208 @t35 @t36)) % 1.14/1.40 (define @t263 () (@var "V_k" $$unsorted)) % 1.14/1.40 (define @t264 () (tptp.hAPP @t104 @t263)) % 1.14/1.40 (define @t265 () (tptp.hAPP @t264 @t14)) % 1.14/1.40 (define @t266 () (tptp.hAPP @t264 @t65)) % 1.14/1.40 (define @t267 () (@list @t14 @t65 @t263)) % 1.14/1.40 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t263)) % 1.14/1.40 (define @t269 () (@list @t263 @t14 @t65)) % 1.14/1.40 (define @t270 () (tptp.hAPP @t258 @t263)) % 1.14/1.40 (define @t271 () (tptp.hAPP @t111 @t263)) % 1.14/1.40 (define @t272 () (@var "V_k_2" $$unsorted)) % 1.14/1.40 (define @t273 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t50)) % 1.14/1.40 (define @t274 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t51)) % 1.14/1.40 (define @t275 () (@list @t50 @t51 @t272)) % 1.14/1.40 (define @t276 () (@list @t50 @t272 @t51)) % 1.14/1.40 (define @t277 () (tptp.c_Orderings_Oord__class_Oless @t16 @t35 @t36)) % 1.14/1.40 (define @t278 () (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t35)) % 1.14/1.40 (define @t279 () (not @t278)) % 1.14/1.40 (define @t280 () (= @t36 @t35)) % 1.14/1.40 (define @t281 () (not @t280)) % 1.14/1.40 (define @t282 () (=> @t281 (=> @t279 @t277))) % 1.14/1.40 (define @t283 () (= @t65 @t7)) % 1.14/1.40 (define @t284 () (= @t272 @t7)) % 1.14/1.40 (define @t285 () (or @t52 @t284)) % 1.14/1.40 (define @t286 () (tptp.hAPP (tptp.hAPP @t104 @t50) @t272)) % 1.14/1.40 (define @t287 () (tptp.hAPP @t255 @t272)) % 1.14/1.40 (define @t288 () (tptp.hAPP @t104 @t272)) % 1.14/1.40 (define @t289 () (tptp.hAPP @t288 @t50)) % 1.14/1.40 (define @t290 () (tptp.hAPP @t288 @t51)) % 1.14/1.40 (define @t291 () (= @t290 @t289)) % 1.14/1.40 (define @t292 () (= @t51 @t7)) % 1.14/1.40 (define @t293 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t50)) % 1.14/1.40 (define @t294 () (@list @t65)) % 1.14/1.40 (define @t295 () (@var "V_P_2" $$unsorted)) % 1.14/1.40 (define @t296 () (tptp.hAPP @t295 @t50)) % 1.14/1.40 (define @t297 () (tptp.hBOOL (tptp.hAPP @t296 @t51))) % 1.14/1.40 (define @t298 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t51)) % 1.14/1.40 (define @t299 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t50)) % 1.14/1.40 (define @t300 () (@var "V_j" $$unsorted)) % 1.14/1.40 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t300)) % 1.14/1.40 (define @t302 () (@list @t263 @t300 @t100)) % 1.14/1.40 (define @t303 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t263 @t14)) % 1.14/1.40 (define @t304 () (@var "V_l" $$unsorted)) % 1.14/1.40 (define @t305 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t263 @t304)) % 1.14/1.40 (define @t306 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t300 @t304)) % 1.14/1.40 (define @t307 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t263)) % 1.14/1.40 (define @t308 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t300)) % 1.14/1.40 (define @t309 () (@list @t304 @t263 @t300 @t100)) % 1.14/1.40 (define @t310 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t300 @t263)) % 1.14/1.40 (define @t311 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t300)) % 1.14/1.40 (define @t312 () (@list @t65 @t300 @t100)) % 1.14/1.40 (define @t313 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t300 @t65)) % 1.14/1.40 (define @t314 () (@var "V_t" $$unsorted)) % 1.14/1.40 (define @t315 () (= @t65 @t14)) % 1.14/1.40 (define @t316 () (not @t315)) % 1.14/1.40 (define @t317 () (@list @t65 @t14)) % 1.14/1.40 (define @t318 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t35)) % 1.14/1.40 (define @t319 () (@list @t35 @t36)) % 1.14/1.40 (define @t320 () (not @t52)) % 1.14/1.40 (define @t321 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t300 @t100)) % 1.14/1.40 (define @t322 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t56)) % 1.14/1.40 (define @t323 () (and (not @t248) (not @t322))) % 1.14/1.40 (define @t324 () (and @t248 @t322)) % 1.14/1.40 (define @t325 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t51)) % 1.14/1.40 (define @t326 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t293)) % 1.14/1.40 (define @t327 () (tptp.hAPP @t198 @t59)) % 1.14/1.40 (define @t328 () (@list @t59 @t53 @t16)) % 1.14/1.40 (define @t329 () (= @t163 @t82)) % 1.14/1.40 (define @t330 () (= @t119 @t82)) % 1.14/1.40 (define @t331 () (@var "V_e" $$unsorted)) % 1.14/1.40 (define @t332 () (tptp.hAPP @t264 @t300)) % 1.14/1.40 (define @t333 () (tptp.hAPP @t264 @t100)) % 1.14/1.40 (define @t334 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t263)) % 1.14/1.40 (define @t335 () (tptp.hAPP @t104 @t300)) % 1.14/1.40 (define @t336 () (tptp.hAPP @t335 @t263)) % 1.14/1.40 (define @t337 () (tptp.hAPP @t104 @t100)) % 1.14/1.40 (define @t338 () (tptp.hAPP @t337 @t263)) % 1.14/1.40 (define @t339 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t272)) % 1.14/1.40 (define @t340 () (and @t339 @t299)) % 1.14/1.40 (define @t341 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t290 @t289)) % 1.14/1.40 (define @t342 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t50)) % 1.14/1.40 (define @t343 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t51)) % 1.14/1.40 (define @t344 () (@list @t50)) % 1.14/1.40 (define @t345 () (tptp.hAPP @t21 @t15)) % 1.14/1.40 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t16 @t59 @t53)) % 1.14/1.40 (define @t347 () (tptp.c_Orderings_Oord__class_Oless @t16 @t194 @t82)) % 1.14/1.40 (define @t348 () (tptp.c_Orderings_Oord__class_Oless @t16 @t53 @t59)) % 1.14/1.40 (define @t349 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t194)) % 1.14/1.40 (define @t350 () (or (and @t349 @t348) (and @t347 @t346))) % 1.14/1.40 (define @t351 () (@list @t59 @t194 @t53 @t16)) % 1.14/1.40 (define @t352 () (tptp.hAPP @t20 @t194)) % 1.14/1.40 (define @t353 () (tptp.hAPP @t352 @t59)) % 1.14/1.40 (define @t354 () (tptp.hAPP @t352 @t53)) % 1.14/1.40 (define @t355 () (tptp.c_Orderings_Oord__class_Oless @t16 @t354 @t353)) % 1.14/1.40 (define @t356 () (@list @t59 @t53 @t194 @t16)) % 1.14/1.40 (define @t357 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t163)) % 1.14/1.40 (define @t358 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t119)) % 1.14/1.40 (define @t359 () (tptp.class_Rings_Olinordered__semiring__strict @t16)) % 1.14/1.40 (define @t360 () (tptp.c_Orderings_Oord__class_Oless @t16 @t163 @t82)) % 1.14/1.40 (define @t361 () (tptp.c_Orderings_Oord__class_Oless @t16 @t119 @t82)) % 1.14/1.40 (define @t362 () (=> @t142 @t358)) % 1.14/1.40 (define @t363 () (@list @t15 @t119 @t16)) % 1.14/1.40 (define @t364 () (tptp.c_Orderings_Oord__class_Oless @t16 @t15 @t82)) % 1.14/1.40 (define @t365 () (tptp.c_Orderings_Oord__class_Oless @t16 @t192 @t191)) % 1.14/1.40 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t140)) % 1.14/1.40 (define @t367 () (tptp.c_Orderings_Oord__class_Oless @t16 @t15 @t119)) % 1.14/1.40 (define @t368 () (tptp.hAPP @t20 @t140)) % 1.14/1.40 (define @t369 () (tptp.hAPP @t368 @t119)) % 1.14/1.40 (define @t370 () (tptp.hAPP @t368 @t15)) % 1.14/1.40 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t16 @t370 @t369)) % 1.14/1.40 (define @t372 () (=> @t367 (=> @t366 @t371))) % 1.14/1.40 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t16 @t140 @t82)) % 1.14/1.40 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t16 @t119 @t15)) % 1.14/1.40 (define @t375 () (@list @t140 @t15 @t119 @t16)) % 1.14/1.40 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t16 @t119 @t166)) % 1.14/1.40 (define @t377 () (tptp.c_Orderings_Oord__class_Oless @t16 @t119 @t140)) % 1.14/1.40 (define @t378 () (=> @t377 @t376)) % 1.14/1.40 (define @t379 () (and @t89 @t240)) % 1.14/1.40 (define @t380 () (= @t57 @t81)) % 1.14/1.40 (define @t381 () (and @t380 (= @t56 @t81))) % 1.14/1.40 (define @t382 () (tptp.hAPP @t45 @t56)) % 1.14/1.40 (define @t383 () (tptp.hAPP @t45 @t57)) % 1.14/1.40 (define @t384 () (tptp.hAPP @t383 @t57)) % 1.14/1.40 (define @t385 () (tptp.hAPP @t45 @t208)) % 1.14/1.40 (define @t386 () (tptp.hAPP (tptp.hAPP @t45 @t36) @t35)) % 1.14/1.40 (define @t387 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t35)) % 1.14/1.40 (define @t388 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t36)) % 1.14/1.40 (define @t389 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t56)) % 1.14/1.40 (define @t390 () (tptp.hAPP @t382 @t177)) % 1.14/1.40 (define @t391 () (tptp.hAPP @t383 @t177)) % 1.14/1.40 (define @t392 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t177)) % 1.14/1.40 (define @t393 () (@list @t56 @t57 @t177)) % 1.14/1.40 (define @t394 () (@list @t57)) % 1.14/1.40 (define @t395 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t53 @t53)) % 1.14/1.40 (define @t396 () (tptp.class_Groups_Olinordered__ab__group__add @t16)) % 1.14/1.40 (define @t397 () (@list @t53 @t16)) % 1.14/1.40 (define @t398 () (= (tptp.c_Orderings_Oord__class_Oless @t16 @t395 @t82) (tptp.c_Orderings_Oord__class_Oless @t16 @t53 @t82))) % 1.14/1.40 (define @t399 () (= @t119 @t140)) % 1.14/1.40 (define @t400 () (tptp.class_Groups_Ocancel__semigroup__add @t16)) % 1.14/1.40 (define @t401 () (=> (= @t168 @t166) @t399)) % 1.14/1.40 (define @t402 () (= @t59 @t194)) % 1.14/1.40 (define @t403 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t194 @t53)) % 1.14/1.40 (define @t404 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t53 @t194)) % 1.14/1.40 (define @t405 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.14/1.40 (define @t406 () (tptp.hAPP @t405 @t36)) % 1.14/1.40 (define @t407 () (tptp.hAPP @t406 @t35)) % 1.14/1.40 (define @t408 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.14/1.40 (define @t409 () (@var "V_w" $$unsorted)) % 1.14/1.40 (define @t410 () (@list @t409 @t208)) % 1.14/1.40 (define @t411 () (@var "V_z3" $$unsorted)) % 1.14/1.40 (define @t412 () (@var "V_z2" $$unsorted)) % 1.14/1.40 (define @t413 () (tptp.hAPP @t45 @t412)) % 1.14/1.40 (define @t414 () (@var "V_z1" $$unsorted)) % 1.14/1.40 (define @t415 () (tptp.hAPP @t45 @t414)) % 1.14/1.40 (define @t416 () (@list @t411 @t412 @t414)) % 1.14/1.40 (define @t417 () (tptp.class_Groups_Ocomm__monoid__add @t16)) % 1.14/1.40 (define @t418 () (tptp.class_Groups_Omonoid__add @t16)) % 1.14/1.40 (define @t419 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t140 @t119)) % 1.14/1.40 (define @t420 () (tptp.c_Orderings_Oord__class_Oless @t16 @t176 @t419)) % 1.14/1.40 (define @t421 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t16)) % 1.14/1.40 (define @t422 () (@list @t119 @t15 @t140 @t16)) % 1.14/1.40 (define @t423 () (tptp.c_Orderings_Oord__class_Oless @t16 @t166 @t172)) % 1.14/1.40 (define @t424 () (@list @t119 @t140 @t15 @t16)) % 1.14/1.40 (define @t425 () (tptp.c_Orderings_Oord__class_Oless @t16 @t166 @t165)) % 1.14/1.40 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t16 @t140 @t138)) % 1.14/1.40 (define @t427 () (=> @t426 @t425)) % 1.14/1.40 (define @t428 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t16)) % 1.14/1.40 (define @t429 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t194 @t59)) % 1.14/1.40 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t59 @t194)) % 1.14/1.40 (define @t431 () (not (= @t194 @t81))) % 1.14/1.40 (define @t432 () (@list @t59 @t53 @t194)) % 1.14/1.40 (define @t433 () (tptp.hAPP @t45 @t194)) % 1.14/1.40 (define @t434 () (@var "V_u" $$unsorted)) % 1.14/1.40 (define @t435 () (tptp.hAPP @t335 @t434)) % 1.14/1.40 (define @t436 () (tptp.hAPP @t337 @t434)) % 1.14/1.40 (define @t437 () (@list @t208)) % 1.14/1.40 (define @t438 () (@list @t409 @t412 @t414)) % 1.14/1.40 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t16 @t168 @t82)) % 1.14/1.40 (define @t440 () (=> @t361 @t439)) % 1.14/1.40 (define @t441 () (tptp.class_Groups_Oordered__comm__monoid__add @t16)) % 1.14/1.40 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t168)) % 1.14/1.40 (define @t443 () (=> @t358 @t442)) % 1.14/1.40 (define @t444 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t261)) % 1.14/1.40 (define @t445 () (@list @t35 @t208 @t36)) % 1.14/1.40 (define @t446 () (@var "B_r" $$unsorted)) % 1.14/1.40 (define @t447 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t15)) % 1.14/1.40 (define @t448 () (@list @t15 @t14)) % 1.14/1.40 (define @t449 () (@var "B_y" $$unsorted)) % 1.14/1.40 (define @t450 () (@list @t449)) % 1.14/1.40 (define @t451 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t178)) % 1.14/1.40 (define @t452 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t451)) % 1.14/1.40 (define @t453 () (not @t452)) % 1.14/1.40 (define @t454 () (= @t451 @t7)) % 1.14/1.40 (define @t455 () (tptp.hAPP @t234 @t451)) % 1.14/1.40 (define @t456 () (@list @t178 @t57 @t16)) % 1.14/1.40 (define @t457 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t216)) % 1.14/1.40 (define @t458 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t82)) % 1.14/1.40 (define @t459 () (tptp.hBOOL (tptp.hAPP @t458 @t15))) % 1.14/1.40 (define @t460 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t125)) % 1.14/1.40 (define @t461 () (@list @t36 @t14 @t16)) % 1.14/1.40 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7)) % 1.14/1.40 (define @t463 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.14/1.40 (define @t464 () (tptp.hAPP @t408 @t208)) % 1.14/1.40 (define @t465 () (tptp.hAPP @t408 @t409)) % 1.14/1.40 (define @t466 () (tptp.hAPP @t465 @t208)) % 1.14/1.40 (define @t467 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t53 @t59)) % 1.14/1.40 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t53)) % 1.14/1.40 (define @t469 () (tptp.hBOOL (tptp.hAPP @t468 @t59))) % 1.14/1.40 (define @t470 () (tptp.class_Groups_Oordered__ab__group__add @t16)) % 1.14/1.40 (define @t471 () (tptp.hAPP @t465 @t412)) % 1.14/1.40 (define @t472 () (tptp.hAPP @t465 @t414)) % 1.14/1.40 (define @t473 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 @t412)) % 1.14/1.40 (define @t474 () (@list @t412 @t414 @t409)) % 1.14/1.40 (define @t475 () (@var "V_v" $$unsorted)) % 1.14/1.40 (define @t476 () (@var "T_b" $$unsorted)) % 1.14/1.40 (define @t477 () (tptp.c_Int_Onumber__class_Onumber__of @t476 @t475)) % 1.14/1.40 (define @t478 () (tptp.c_Groups_Otimes__class_Otimes @t476)) % 1.14/1.40 (define @t479 () (tptp.hAPP @t478 @t477)) % 1.14/1.40 (define @t480 () (tptp.hAPP @t479 @t140)) % 1.14/1.40 (define @t481 () (tptp.hAPP @t479 @t119)) % 1.14/1.40 (define @t482 () (tptp.class_Int_Onumber @t476)) % 1.14/1.40 (define @t483 () (and @t482 (tptp.class_Rings_Oring @t476))) % 1.14/1.40 (define @t484 () (@list @t140 @t119 @t475 @t476)) % 1.14/1.40 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 @t409)) % 1.14/1.40 (define @t486 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t485)) % 1.14/1.40 (define @t487 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t409)) % 1.14/1.40 (define @t488 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t475)) % 1.14/1.40 (define @t489 () (tptp.class_Int_Onumber__ring @t16)) % 1.14/1.40 (define @t490 () (tptp.hAPP @t408 @t412)) % 1.14/1.40 (define @t491 () (tptp.hAPP @t408 @t414)) % 1.14/1.40 (define @t492 () (tptp.hAPP @t490 @t409)) % 1.14/1.40 (define @t493 () (tptp.hAPP @t491 @t409)) % 1.14/1.40 (define @t494 () (tptp.hAPP (tptp.hAPP @t478 @t119) @t477)) % 1.14/1.40 (define @t495 () (tptp.hAPP (tptp.hAPP @t478 @t15) @t477)) % 1.14/1.40 (define @t496 () (@list @t475 @t119 @t15 @t476)) % 1.14/1.40 (define @t497 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.14/1.40 (define @t498 () (tptp.hAPP @t408 @t263)) % 1.14/1.40 (define @t499 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t263)) % 1.14/1.40 (define @t500 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 @t300)) % 1.14/1.40 (define @t501 () (@list @t409 @t475 @t16)) % 1.14/1.40 (define @t502 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t178)) % 1.14/1.40 (define @t503 () (tptp.class_Int_Onumber @t16)) % 1.14/1.40 (define @t504 () (= @t57 @t56)) % 1.14/1.40 (define @t505 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t56)) % 1.14/1.40 (define @t506 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t57)) % 1.14/1.40 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t57)) % 1.14/1.40 (define @t508 () (tptp.hBOOL (tptp.hAPP @t507 @t56))) % 1.14/1.40 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t506)) % 1.14/1.40 (define @t510 () (and @t489 @t236)) % 1.14/1.40 (define @t511 () (= @t467 (tptp.c_Groups_Ominus__class_Ominus @t16 @t194 @t197))) % 1.14/1.40 (define @t512 () (tptp.class_Groups_Oab__group__add @t16)) % 1.14/1.40 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t194)) % 1.14/1.40 (define @t514 () (@var "V_v_2" $$unsorted)) % 1.14/1.40 (define @t515 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t514)) % 1.14/1.40 (define @t516 () (tptp.class_Orderings_Olinorder @t16)) % 1.14/1.40 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t36)) % 1.14/1.40 (define @t518 () (tptp.hBOOL (tptp.hAPP @t517 @t35))) % 1.14/1.40 (define @t519 () (tptp.hBOOL (tptp.hAPP @t517 @t261))) % 1.14/1.40 (define @t520 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t15 @t119)) % 1.14/1.40 (define @t521 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t520)) % 1.14/1.40 (define @t522 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t119)) % 1.14/1.40 (define @t523 () (tptp.c_RealVector_Onorm__class_Onorm @t16 @t15)) % 1.14/1.40 (define @t524 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t523 @t522)) % 1.14/1.40 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t524)) % 1.14/1.40 (define @t526 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t14)) % 1.14/1.40 (define @t527 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t300)) % 1.14/1.40 (define @t528 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t263)) % 1.14/1.40 (define @t529 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t304 @t65)) % 1.14/1.40 (define @t530 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t304 @t14)) % 1.14/1.40 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65)) % 1.14/1.40 (define @t532 () (tptp.hBOOL (tptp.hAPP @t531 @t14))) % 1.14/1.40 (define @t533 () (@list @t304 @t14 @t65)) % 1.14/1.40 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100)) % 1.14/1.40 (define @t535 () (@list @t14 @t100)) % 1.14/1.40 (define @t536 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t272)) % 1.14/1.40 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t51 @t272)) % 0.60/1.40 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272)) % 0.60/1.40 (define @t539 () (tptp.hBOOL (tptp.hAPP @t538 @t50))) % 0.60/1.40 (define @t540 () (tptp.hBOOL (tptp.hAPP @t538 @t51))) % 0.60/1.40 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t263)) % 0.60/1.40 (define @t542 () (tptp.hBOOL (tptp.hAPP @t541 @t14))) % 0.60/1.40 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t51)) % 0.60/1.40 (define @t544 () (tptp.hBOOL (tptp.hAPP @t543 @t50))) % 0.60/1.40 (define @t545 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t300 @t263)) % 0.60/1.40 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t545 @t100)) % 0.60/1.40 (define @t547 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t321 @t263)) % 0.60/1.40 (define @t548 () (tptp.hBOOL (tptp.hAPP @t541 @t300))) % 0.60/1.40 (define @t549 () (@list @t100 @t300 @t263)) % 0.60/1.40 (define @t550 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t545)) % 0.60/1.40 (define @t551 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t301 @t263)) % 0.60/1.40 (define @t552 () (@var "V_i_2" $$unsorted)) % 0.60/1.40 (define @t553 () (@var "V_j_2" $$unsorted)) % 0.60/1.40 (define @t554 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t553 @t552)) % 0.60/1.40 (define @t555 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t552)) % 0.60/1.40 (define @t556 () (tptp.hBOOL (tptp.hAPP @t555 @t553))) % 0.60/1.40 (define @t557 () (@list @t272 @t553 @t552)) % 0.60/1.40 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14)) % 0.60/1.40 (define @t559 () (tptp.hBOOL (tptp.hAPP @t558 @t65))) % 0.60/1.40 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t552 @t272)) % 0.60/1.40 (define @t561 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t553 @t272)) % 0.60/1.40 (define @t562 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t526) @t65)) % 0.60/1.40 (define @t563 () (= @t526 @t7)) % 0.60/1.40 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t553)) % 0.60/1.40 (define @t565 () (@var "V_e_2" $$unsorted)) % 0.60/1.40 (define @t566 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t20 (tptp.c_Groups_Ominus__class_Ominus @t16 @t59 @t53)) @t565) @t197)) % 0.60/1.40 (define @t567 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t195 @t565) @t197)) % 0.60/1.40 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t198 @t565) @t194)) % 0.60/1.40 (define @t569 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t568) @t567))) % 0.60/1.40 (define @t570 () (tptp.class_Rings_Oordered__ring @t16)) % 0.60/1.40 (define @t571 () (@list @t197 @t59 @t194 @t565 @t53 @t16)) % 0.60/1.40 (define @t572 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t20 @t467) @t565) @t194)) % 0.60/1.40 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19)) % 0.60/1.40 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t23)) % 0.60/1.40 (define @t575 () (tptp.hBOOL (tptp.hAPP @t574 @t15))) % 0.60/1.40 (define @t576 () (tptp.hBOOL (tptp.hAPP @t558 @t69))) % 0.60/1.40 (define @t577 () (@var "V_u_2" $$unsorted)) % 0.60/1.40 (define @t578 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t554) @t577) @t50)) % 0.60/1.40 (define @t579 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t553) @t577) @t50)) % 0.60/1.40 (define @t580 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t552) @t577) @t51)) % 0.60/1.40 (define @t581 () (= @t580 @t579)) % 0.60/1.40 (define @t582 () (@list @t50 @t51 @t577 @t553 @t552)) % 0.60/1.40 (define @t583 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t65) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t14))) % 0.60/1.40 (define @t584 () (tptp.hBOOL (tptp.hAPP @t534 @t300))) % 0.60/1.40 (define @t585 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580) @t579))) % 0.60/1.40 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t552 @t553)) @t577) @t51)) % 0.60/1.40 (define @t587 () (tptp.hBOOL (tptp.hAPP @t564 @t552))) % 0.60/1.40 (define @t588 () (@list @t50 @t51 @t577 @t552 @t553)) % 0.60/1.40 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t300)) % 0.60/1.40 (define @t590 () (tptp.class_Groups_Ogroup__add @t16)) % 0.60/1.40 (define @t591 () (= @t467 @t82)) % 0.60/1.40 (define @t592 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t56)) % 0.60/1.40 (define @t593 () (tptp.hAPP @t20 @t488)) % 0.60/1.40 (define @t594 () (tptp.hAPP @t593 @t487)) % 0.60/1.40 (define @t595 () (tptp.hAPP @t408 @t475)) % 0.60/1.40 (define @t596 () (tptp.hAPP @t595 @t409)) % 0.60/1.40 (define @t597 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t596)) % 0.60/1.40 (define @t598 () (@list @t208 @t409 @t475 @t16)) % 0.60/1.40 (define @t599 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t36 @t35)) % 0.60/1.40 (define @t600 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t488 @t487)) % 0.60/1.40 (define @t601 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t119 @t15)) % 0.60/1.40 (define @t602 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t166)) % 0.60/1.40 (define @t603 () (tptp.hBOOL (tptp.hAPP @t602 @t172))) % 0.60/1.40 (define @t604 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t15)) % 0.60/1.40 (define @t605 () (tptp.hBOOL (tptp.hAPP @t604 @t119))) % 0.60/1.40 (define @t606 () (tptp.class_Groups_Oordered__ab__semigroup__add @t16)) % 0.60/1.40 (define @t607 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t176) @t419))) % 0.60/1.40 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t140)) % 0.60/1.40 (define @t609 () (tptp.hBOOL (tptp.hAPP @t608 @t138))) % 0.60/1.40 (define @t610 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t263)) % 0.60/1.40 (define @t611 () (@list @t14 @t263 @t65)) % 0.60/1.40 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50)) % 0.60/1.40 (define @t613 () (not @t504)) % 0.60/1.40 (define @t614 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t57)) % 0.60/1.40 (define @t615 () (tptp.hBOOL (tptp.hAPP @t614 @t56))) % 0.60/1.40 (define @t616 () (@var "B_k" $$unsorted)) % 0.60/1.40 (define @t617 () (@list @t616)) % 0.60/1.40 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t307)) % 0.60/1.40 (define @t619 () (tptp.hBOOL (tptp.hAPP @t541 @t304))) % 0.60/1.40 (define @t620 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t610) @t14))) % 0.60/1.40 (define @t621 () (tptp.hAPP @t111 @t65)) % 0.60/1.40 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338)) % 0.60/1.40 (define @t623 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t36)) % 0.60/1.40 (define @t624 () (tptp.hBOOL (tptp.hAPP @t623 @t35))) % 0.60/1.40 (define @t625 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57) @t56))) % 0.60/1.40 (define @t626 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t119 @t138)) % 0.60/1.40 (define @t627 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t15 @t140)) % 0.60/1.40 (define @t628 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t168 @t167)) % 0.60/1.40 (define @t629 () (tptp.hBOOL (tptp.hAPP @t458 @t57))) % 0.60/1.40 (define @t630 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t580 @t579)) % 0.60/1.40 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t57)) % 0.60/1.40 (define @t632 () (tptp.hBOOL (tptp.hAPP @t631 @t82))) % 0.60/1.40 (define @t633 () (not @t454)) % 0.60/1.40 (define @t634 () (and @t482 (tptp.class_Rings_Osemiring @t476))) % 0.60/1.40 (define @t635 () (= @t568 @t567)) % 0.60/1.40 (define @t636 () (tptp.class_Rings_Oring @t16)) % 0.60/1.40 (define @t637 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t35 @t119)) % 0.60/1.40 (define @t638 () (tptp.hAPP @t20 (tptp.c_Groups_Ominus__class_Ominus @t16 @t36 @t15))) % 0.60/1.40 (define @t639 () (tptp.hAPP @t638 @t119)) % 0.60/1.40 (define @t640 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t47 @t163)) % 0.60/1.40 (define @t641 () (@list @t119 @t15 @t35 @t36 @t16)) % 0.60/1.40 (define @t642 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t163) @t82))) % 0.60/1.40 (define @t643 () (tptp.hBOOL (tptp.hAPP @t458 @t119))) % 0.60/1.40 (define @t644 () (tptp.hBOOL (tptp.hAPP @t604 @t82))) % 0.60/1.40 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t119)) % 0.60/1.40 (define @t646 () (tptp.hBOOL (tptp.hAPP @t645 @t82))) % 0.60/1.40 (define @t647 () (tptp.class_Rings_Oordered__cancel__semiring @t16)) % 0.60/1.40 (define @t648 () (tptp.hBOOL (tptp.hAPP @t458 @t163))) % 0.60/1.40 (define @t649 () (tptp.hAPP @t161 @t138)) % 0.60/1.40 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t192)) % 0.60/1.40 (define @t651 () (tptp.hBOOL (tptp.hAPP @t458 @t140))) % 0.60/1.40 (define @t652 () (=> @t651 (tptp.hBOOL (tptp.hAPP @t650 @t649)))) % 0.60/1.40 (define @t653 () (tptp.class_Rings_Oordered__semiring @t16)) % 0.60/1.40 (define @t654 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t370) @t369))) % 0.60/1.40 (define @t655 () (tptp.hBOOL (tptp.hAPP @t608 @t82))) % 0.60/1.40 (define @t656 () (tptp.hBOOL (tptp.hAPP @t645 @t15))) % 0.60/1.40 (define @t657 () (tptp.hBOOL (tptp.hAPP @t650 @t191))) % 0.60/1.40 (define @t658 () (=> @t605 (=> @t651 @t654))) % 0.60/1.40 (define @t659 () (tptp.hBOOL (tptp.hAPP @t458 @t59))) % 0.60/1.40 (define @t660 () (tptp.hBOOL (tptp.hAPP @t468 @t82))) % 0.60/1.40 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t59)) % 0.60/1.40 (define @t662 () (tptp.hBOOL (tptp.hAPP @t661 @t82))) % 0.60/1.40 (define @t663 () (tptp.hBOOL (tptp.hAPP @t458 @t53))) % 0.60/1.40 (define @t664 () (tptp.hBOOL (tptp.hAPP @t645 @t166))) % 0.60/1.40 (define @t665 () (tptp.hBOOL (tptp.hAPP @t645 @t140))) % 0.60/1.40 (define @t666 () (@list @t51 @t50)) % 0.60/1.40 (define @t667 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t56)) % 0.60/1.40 (define @t668 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t81)) % 0.60/1.40 (define @t669 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t226) (tptp.hAPP @t215 @t14)))) % 0.60/1.40 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t36)) % 0.60/1.40 (define @t671 () (tptp.hBOOL (tptp.hAPP @t670 @t35))) % 0.60/1.40 (define @t672 () (@list @t35 @t36 @t14 @t16)) % 0.60/1.40 (define @t673 () (tptp.c_Orderings_Oord__class_Oless @t16 @t568 @t567)) % 0.60/1.40 (define @t674 () (tptp.class_Rings_Oring__1 @t16)) % 0.60/1.40 (define @t675 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t354) @t353))) % 0.60/1.40 (define @t676 () (tptp.c_Orderings_Oord__class_Oless @t16 @t192 @t649)) % 0.60/1.40 (define @t677 () (=> @t651 @t676)) % 0.60/1.40 (define @t678 () (=> @t651 @t367)) % 0.60/1.40 (define @t679 () (=> @t365 @t678)) % 0.60/1.40 (define @t680 () (tptp.class_Rings_Olinordered__semiring @t16)) % 0.60/1.40 (define @t681 () (=> @t371 @t678)) % 0.60/1.40 (define @t682 () (=> @t366 @t605)) % 0.60/1.40 (define @t683 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t35)) % 0.60/1.40 (define @t684 () (tptp.hBOOL (tptp.hAPP @t683 @t23))) % 0.60/1.40 (define @t685 () (tptp.hBOOL (tptp.hAPP @t458 @t35))) % 0.60/1.40 (define @t686 () (tptp.hBOOL (tptp.hAPP @t458 @t36))) % 0.60/1.40 (define @t687 () (tptp.hAPP @t184 @t36)) % 0.60/1.40 (define @t688 () (@list @t119 @t14 @t15 @t16)) % 0.60/1.40 (define @t689 () (@var "B_d" $$unsorted)) % 0.60/1.40 (define @t690 () (tptp.hBOOL (tptp.hAPP @t295 @t689))) % 0.60/1.40 (define @t691 () (= @t53 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t59 @t689))) % 0.60/1.40 (define @t692 () (@list @t689)) % 0.60/1.40 (define @t693 () (tptp.hBOOL (tptp.hAPP @t295 @t7))) % 0.60/1.40 (define @t694 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t59)) % 0.60/1.40 (define @t695 () (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t59)))) % 0.60/1.40 (define @t696 () (@list @t59 @t53 @t295)) % 0.60/1.40 (define @t697 () (not @t693)) % 0.60/1.40 (define @t698 () (@var "V_one_2" $$unsorted)) % 0.60/1.40 (define @t699 () (@var "V_times_2" $$unsorted)) % 0.60/1.40 (define @t700 () (tptp.hBOOL (tptp.hAPP @t458 @t235))) % 0.60/1.40 (define @t701 () (=> @t339 @t544)) % 0.60/1.40 (define @t702 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t290) @t289))) % 0.60/1.40 (define @t703 () (tptp.hAPP @t45 @t177)) % 0.60/1.40 (define @t704 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t208)) % 0.60/1.40 (define @t705 () (@list @t208 @t409)) % 0.60/1.40 (define @t706 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP (tptp.hAPP @t20 @t434) @t36) (tptp.hAPP (tptp.hAPP @t20 @t475) @t35))) % 0.60/1.40 (define @t707 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t434 @t475) @t23)) % 0.60/1.40 (define @t708 () (tptp.hBOOL (tptp.hAPP @t458 @t475))) % 0.60/1.40 (define @t709 () (tptp.hBOOL (tptp.hAPP @t458 @t434))) % 0.60/1.40 (define @t710 () (@list @t475 @t434 @t35 @t15 @t36 @t16)) % 0.60/1.40 (define @t711 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t409)) % 0.60/1.40 (define @t712 () (tptp.hAPP @t129 @t711)) % 0.60/1.40 (define @t713 () (= @t711 @t7)) % 0.60/1.40 (define @t714 () (@list @t409 @t16)) % 0.60/1.40 (define @t715 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t125)) % 0.60/1.40 (define @t716 () (not @t283)) % 0.60/1.40 (define @t717 () (tptp.hAPP @t85 @t103)) % 0.60/1.40 (define @t718 () (tptp.hAPP @t717 @t65)) % 0.60/1.40 (define @t719 () (tptp.hAPP @t17 @t65)) % 0.60/1.40 (define @t720 () (tptp.hAPP @t719 @t14)) % 0.60/1.40 (define @t721 () (@list @t65 @t14 @t16)) % 0.60/1.40 (define @t722 () (tptp.hAPP @t45 @t140)) % 0.60/1.40 (define @t723 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t140) @t81))) % 0.60/1.40 (define @t724 () (tptp.class_Orderings_Opreorder @t16)) % 0.60/1.40 (define @t725 () (@list @t138 @t119 @t140 @t15 @t16)) % 0.60/1.40 (define @t726 () (tptp.c_Orderings_Oord__class_Oless @t16 @t208 @t36)) % 0.60/1.40 (define @t727 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t208 @t35) @t726)) % 0.60/1.40 (define @t728 () (tptp.hBOOL (tptp.hAPP @t683 @t36))) % 0.60/1.40 (define @t729 () (tptp.class_Orderings_Oorder @t16)) % 0.60/1.40 (define @t730 () (@list @t208 @t36 @t35 @t16)) % 0.60/1.40 (define @t731 () (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t208)) % 0.60/1.40 (define @t732 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t35 @t208) @t731)) % 0.60/1.40 (define @t733 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t208)) % 0.60/1.40 (define @t734 () (tptp.hBOOL (tptp.hAPP @t733 @t35))) % 0.60/1.40 (define @t735 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t177)) % 0.60/1.40 (define @t736 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t463)) % 0.60/1.40 (define @t737 () (@list @t177)) % 0.60/1.40 (define @t738 () (@var "V_l_2" $$unsorted)) % 0.60/1.40 (define @t739 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t272 @t738)) % 0.60/1.40 (define @t740 () (@list @t738 @t272)) % 0.60/1.40 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t178)) % 0.60/1.40 (define @t742 () (tptp.hBOOL (tptp.hAPP @t741 @t177))) % 0.60/1.40 (define @t743 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t177 @t463))) % 0.60/1.40 (define @t744 () (@list @t177 @t178)) % 0.60/1.40 (define @t745 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t177)) % 0.60/1.40 (define @t746 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t409)) % 0.60/1.40 (define @t747 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t475)) % 0.60/1.40 (define @t748 () (@list @t409 @t475)) % 0.60/1.40 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t463 @t208)) % 0.60/1.40 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t497)) % 0.60/1.40 (define @t751 () (tptp.hBOOL (tptp.hAPP @t750 @t208))) % 0.60/1.40 (define @t752 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100)) % 0.60/1.40 (define @t753 () (tptp.hBOOL (tptp.hAPP @t752 @t300))) % 0.60/1.40 (define @t754 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t409 @t208)) % 0.60/1.40 (define @t755 () (@var "V_z_H" $$unsorted)) % 0.60/1.40 (define @t756 () (@var "V_w_H" $$unsorted)) % 0.60/1.40 (define @t757 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t755) @t208))) % 0.60/1.40 (define @t758 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t409)) % 0.60/1.40 (define @t759 () (@list @t409)) % 0.60/1.40 (define @t760 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t409)) % 0.60/1.40 (define @t761 () (tptp.hBOOL (tptp.hAPP @t758 @t208))) % 0.60/1.40 (define @t762 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t208)) % 0.60/1.40 (define @t763 () (tptp.hBOOL (tptp.hAPP @t762 @t409))) % 0.60/1.40 (define @t764 () (tptp.hBOOL (tptp.hAPP @t760 @t208))) % 0.60/1.40 (define @t765 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208) @t409))) % 0.60/1.40 (define @t766 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t272)) % 0.60/1.40 (define @t767 () (tptp.hBOOL (tptp.hAPP @t766 @t738))) % 0.60/1.40 (define @t768 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t738)) % 0.60/1.40 (define @t769 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t272)) % 0.60/1.40 (define @t770 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100)) % 0.60/1.40 (define @t771 () (= @t208 @t409)) % 0.60/1.40 (define @t772 () (@list @t178 @t177)) % 0.60/1.40 (define @t773 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t414 @t412)) % 0.60/1.40 (define @t774 () (tptp.tc_fun @t16 @t476)) % 0.60/1.40 (define @t775 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t774 @t2) @t1))) % 0.60/1.40 (define @t776 () (tptp.class_Orderings_Oord @t476)) % 0.60/1.40 (define @t777 () (@list @t1 @t2 @t16 @t476)) % 0.60/1.40 (define @t778 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t56) @t57))) % 0.60/1.40 (define @t779 () (tptp.hBOOL (tptp.hAPP @t631 @t56))) % 0.60/1.40 (define @t780 () (= @t779 @t504)) % 0.60/1.40 (define @t781 () (@list @t57 @t56 @t16)) % 0.60/1.40 (define @t782 () (tptp.hBOOL (tptp.hAPP @t604 @t140))) % 0.60/1.40 (define @t783 () (tptp.class_Orderings_Oord @t16)) % 0.60/1.40 (define @t784 () (tptp.hBOOL (tptp.hAPP @t608 @t15))) % 0.60/1.40 (define @t785 () (tptp.hBOOL (tptp.hAPP @t683 @t208))) % 0.60/1.40 (define @t786 () (@list @t36 @t35 @t16)) % 0.60/1.40 (define @t787 () (tptp.c_Orderings_Oord__class_Oless @t16 @t140 @t15)) % 0.60/1.40 (define @t788 () (tptp.c_Orderings_Oord__class_Oless @t16 @t15 @t140)) % 0.60/1.40 (define @t789 () (tptp.c_Orderings_Oord__class_Oless @t16 @t57 @t56)) % 0.60/1.40 (define @t790 () (not @t789)) % 0.60/1.40 (define @t791 () (= @t790 @t504)) % 0.60/1.40 (define @t792 () (tptp.c_Orderings_Oord__class_Oless @t16 @t56 @t57)) % 0.60/1.40 (define @t793 () (@var "B_n" $$unsorted)) % 0.60/1.40 (define @t794 () (@list @t793)) % 0.60/1.40 (define @t795 () (not @t141)) % 0.60/1.40 (define @t796 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t102)) % 0.60/1.40 (define @t797 () (tptp.hBOOL (tptp.hAPP @t750 @t34))) % 0.60/1.40 (define @t798 () (= @t15 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 (tptp.hAPP (tptp.hAPP @t408 @t15) @t102)))) % 0.60/1.40 (define @t799 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t15)) % 0.60/1.40 (define @t800 () (@list @t102 @t34 @t15)) % 0.60/1.40 (define @t801 () (@var "V_q_H" $$unsorted)) % 0.60/1.40 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t210)) % 0.60/1.40 (define @t803 () (@var "V_r_H" $$unsorted)) % 0.60/1.40 (define @t804 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t803 @t210)) % 0.60/1.40 (define @t805 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t408 @t210) @t801) @t803)) % 0.60/1.40 (define @t806 () (tptp.hBOOL (tptp.hAPP @t750 @t805))) % 0.60/1.40 (define @t807 () (@list @t803 @t801 @t210)) % 0.60/1.40 (define @t808 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t801)) % 0.60/1.40 (define @t809 () (tptp.hBOOL (tptp.hAPP @t750 @t803))) % 0.60/1.40 (define @t810 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t805 @t497)) % 0.60/1.40 (define @t811 () (@list @t263)) % 0.60/1.40 (define @t812 () (tptp.hBOOL (tptp.hAPP @t808 @t102))) % 0.60/1.40 (define @t813 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t210) @t119))) % 0.60/1.40 (define @t814 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t34 @t119)) % 0.60/1.40 (define @t815 () (tptp.hAPP @t408 @t119)) % 0.60/1.40 (define @t816 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t815 @t102) @t34)) % 0.60/1.40 (define @t817 () (= @t816 @t805)) % 0.60/1.40 (define @t818 () (@list @t803 @t801 @t210 @t34 @t102 @t119)) % 0.60/1.40 (define @t819 () (tptp.hBOOL (tptp.hAPP @t796 @t801))) % 0.60/1.40 (define @t820 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t815 @t801) @t803)) @t816))) % 0.60/1.40 (define @t821 () (@list @t34 @t102 @t803 @t801 @t119)) % 0.60/1.40 (define @t822 () (tptp.hAPP @t406 @t14)) % 0.60/1.40 (define @t823 () (tptp.hBOOL (tptp.hAPP @t750 @t36))) % 0.60/1.40 (define @t824 () (@list @t14 @t36)) % 0.60/1.40 (define @t825 () (tptp.hAPP (tptp.hAPP @t408 @t36) @t35)) % 0.60/1.40 (define @t826 () (tptp.hBOOL (tptp.hAPP @t750 @t35))) % 0.60/1.40 (define @t827 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t36 @t35)) % 0.60/1.40 (define @t828 () (@var "B_K" $$unsorted)) % 0.60/1.40 (define @t829 () (tptp.hAPP (tptp.hAPP @t45 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t3)) @t828)) % 0.60/1.40 (define @t830 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP (tptp.hAPP @t20 @t3) @t35))) @t829)))) % 0.60/1.40 (define @t831 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t828)) % 0.60/1.40 (define @t832 () (@list @t828)) % 0.60/1.40 (define @t833 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP @t46 @t3))) @t829)))) % 0.60/1.40 (define @t834 () (@var "B_b" $$unsorted)) % 0.60/1.40 (define @t835 () (@var "B_a" $$unsorted)) % 0.60/1.40 (define @t836 () (forall (@list @t835 @t834) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 (tptp.hAPP (tptp.hAPP @t20 @t835) @t834))) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t835)) (tptp.c_RealVector_Onorm__class_Onorm @t16 @t834))) @t828))))) % 0.60/1.40 (define @t837 () (tptp.c_Nat__Transfer_Otsub @t36 @t35)) % 0.60/1.40 (define @t838 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t35) @t36))) % 0.60/1.40 (define @t839 () (=> @t838 (= @t837 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t36 @t35)))) % 0.60/1.40 (define @t840 () (@list @t36 @t35)) % 0.60/1.40 (define @t841 () (@var "B_i" $$unsorted)) % 0.60/1.40 (define @t842 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t841)) % 0.60/1.40 (define @t843 () (@list @t841)) % 0.60/1.40 (define @t844 () (tptp.hBOOL (tptp.hAPP @t668 @t828))) % 0.60/1.40 (define @t845 () (tptp.c_RComplete_Onatceiling @t36)) % 0.60/1.40 (define @t846 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t36 @t9)) % 0.60/1.40 (define @t847 () (tptp.hBOOL (tptp.hAPP @t668 @t36))) % 0.60/1.40 (define @t848 () (@list @t36)) % 0.60/1.40 (define @t849 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t475)) % 0.60/1.40 (define @t850 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16)) % 0.60/1.40 (define @t851 () (tptp.hAPP @t850 @t849)) % 0.60/1.40 (define @t852 () (= @t851 @t82)) % 0.60/1.40 (define @t853 () (tptp.hBOOL (tptp.hAPP @t750 @t747))) % 0.60/1.40 (define @t854 () (= @t851 @t488)) % 0.60/1.40 (define @t855 () (@list @t475 @t16)) % 0.60/1.40 (define @t856 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t845)) % 0.60/1.40 (define @t857 () (tptp.hAPP @t850 @t50)) % 0.60/1.40 (define @t858 () (tptp.hAPP @t850 @t51)) % 0.60/1.40 (define @t859 () (@list @t50 @t51 @t16)) % 0.60/1.40 (define @t860 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_RealDef_Oreal)) % 0.60/1.40 (define @t861 () (tptp.hAPP @t850 @t14)) % 0.60/1.40 (define @t862 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t14)) % 0.60/1.40 (define @t863 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t14)) % 0.60/1.40 (define @t864 () (tptp.hAPP @t850 @t65)) % 0.60/1.40 (define @t865 () (tptp.class_Rings_Osemiring__1 @t16)) % 0.60/1.40 (define @t866 () (tptp.c_Orderings_Oord__class_Oless @t16 @t864 @t861)) % 0.60/1.40 (define @t867 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 0.60/1.40 (define @t868 () (tptp.hAPP @t867 @t7)) % 0.60/1.40 (define @t869 () (tptp.hAPP @t867 @t50)) % 0.60/1.40 (define @t870 () (tptp.hBOOL (tptp.hAPP @t295 (tptp.hAPP @t867 @t3)))) % 0.60/1.40 (define @t871 () (tptp.hBOOL (tptp.hAPP @t295 @t3))) % 0.60/1.40 (define @t872 () (tptp.hBOOL (tptp.hAPP @t750 @t3))) % 0.60/1.40 (define @t873 () (@list @t295)) % 0.60/1.40 (define @t874 () (tptp.hAPP @t867 @t14)) % 0.60/1.40 (define @t875 () (tptp.hAPP @t867 @t263)) % 0.60/1.40 (define @t876 () (tptp.hAPP @t867 @t56)) % 0.60/1.40 (define @t877 () (tptp.hAPP @t867 @t57)) % 0.60/1.40 (define @t878 () (tptp.hAPP @t867 @t51)) % 0.60/1.40 (define @t879 () (tptp.hAPP @t867 @t793)) % 0.60/1.40 (define @t880 () (tptp.hAPP @t867 @t35)) % 0.60/1.40 (define @t881 () (tptp.hAPP @t867 @t36)) % 0.60/1.40 (define @t882 () (tptp.hAPP @t867 @t137)) % 0.60/1.40 (define @t883 () (tptp.hAPP @t867 @t65)) % 0.60/1.40 (define @t884 () (tptp.hAPP @t867 @t112)) % 0.60/1.40 (define @t885 () (tptp.hAPP (tptp.hAPP @t408 @t883) @t874)) % 0.60/1.40 (define @t886 () (tptp.hAPP @t867 @t125)) % 0.60/1.40 (define @t887 () (tptp.hAPP (tptp.hAPP @t85 @t65) @t14)) % 0.60/1.40 (define @t888 () (tptp.hAPP @t867 @t887)) % 0.60/1.40 (define @t889 () (tptp.hAPP (tptp.hAPP @t405 @t883) @t14)) % 0.60/1.40 (define @t890 () (tptp.hBOOL (tptp.hAPP @t623 @t81))) % 0.60/1.40 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t57))) % 0.60/1.40 (define @t892 () (tptp.hAPP @t408 @t875)) % 0.60/1.40 (define @t893 () (@list @t119 @t15)) % 0.60/1.40 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t36 @t863)) % 0.60/1.40 (define @t895 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t14)) % 0.60/1.40 (define @t896 () (not (tptp.c_Nat__Numeral_Oneg @t895))) % 0.60/1.40 (define @t897 () (@list @t36 @t14)) % 0.60/1.40 (define @t898 () (tptp.c_RComplete_Onatfloor @t36)) % 0.60/1.40 (define @t899 () (tptp.hBOOL (tptp.hAPP @t750 @t57))) % 0.60/1.40 (define @t900 () (@var "V_Z_2" $$unsorted)) % 0.60/1.40 (define @t901 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t50)) % 0.60/1.40 (define @t902 () (tptp.c_RComplete_Onatfloor @t57)) % 0.60/1.40 (define @t903 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t50)) % 0.60/1.40 (define @t904 () (tptp.hBOOL (tptp.hAPP @t668 @t57))) % 0.60/1.40 (define @t905 () (not (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t50)))) % 0.60/1.40 (define @t906 () (@list @t57 @t50)) % 0.60/1.40 (define @t907 () (tptp.c_Nat__Numeral_Oneg @t747)) % 0.60/1.40 (define @t908 () (@list @t475)) % 0.60/1.40 (define @t909 () (tptp.hAPP @t867 @t849)) % 0.60/1.40 (define @t910 () (not @t907)) % 0.60/1.40 (define @t911 () (@var "V_v_H_2" $$unsorted)) % 0.60/1.40 (define @t912 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t911)) % 0.60/1.40 (define @t913 () (tptp.c_Nat__Numeral_Oneg @t912)) % 0.60/1.40 (define @t914 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t514)) % 0.60/1.40 (define @t915 () (tptp.c_Nat__Numeral_Oneg @t914)) % 0.60/1.40 (define @t916 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t911)) % 0.60/1.40 (define @t917 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t514)) % 0.60/1.40 (define @t918 () (@list @t911 @t514)) % 0.60/1.40 (define @t919 () (@var "V_v_H" $$unsorted)) % 0.60/1.40 (define @t920 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 @t919))) % 0.60/1.40 (define @t921 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t919)) % 0.60/1.40 (define @t922 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t921 @t263)) % 0.60/1.40 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t849 @t922)) % 0.60/1.40 (define @t924 () (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t919))) % 0.60/1.40 (define @t925 () (@list @t263 @t919 @t475)) % 0.60/1.40 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t9)) % 0.60/1.40 (define @t927 () (tptp.hBOOL (tptp.hAPP @t926 @t57))) % 0.60/1.40 (define @t928 () (tptp.c_RComplete_Onatfloor @t15)) % 0.60/1.40 (define @t929 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat)) % 0.60/1.40 (define @t930 () (tptp.hAPP @t929 @t14)) % 0.60/1.40 (define @t931 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t930 @t9)) % 0.60/1.40 (define @t932 () (tptp.hAPP (tptp.hAPP @t408 @t272) @t197)) % 0.60/1.40 (define @t933 () (tptp.hBOOL (tptp.hAPP @t750 @t272))) % 0.60/1.40 (define @t934 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t197)) % 0.60/1.40 (define @t935 () (@list @t272 @t295 @t197)) % 0.60/1.40 (define @t936 () (tptp.hAPP @t929 @t50)) % 0.60/1.40 (define @t937 () (tptp.hAPP @t929 @t51)) % 0.60/1.40 (define @t938 () (tptp.hBOOL (tptp.hAPP @t612 @t51))) % 0.60/1.40 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t936)) % 0.60/1.40 (define @t940 () (tptp.hAPP @t929 @t65)) % 0.60/1.40 (define @t941 () (tptp.hAPP @t929 @t125)) % 0.60/1.40 (define @t942 () (tptp.hAPP @t929 @t887)) % 0.60/1.40 (define @t943 () (tptp.hAPP (tptp.hAPP @t224 @t940) @t14)) % 0.60/1.40 (define @t944 () (tptp.hAPP @t929 @t898)) % 0.60/1.40 (define @t945 () (tptp.hAPP @t929 @t36)) % 0.60/1.40 (define @t946 () (@list @t15 @t36)) % 0.60/1.40 (define @t947 () (tptp.hAPP @t929 @t15)) % 0.60/1.40 (define @t948 () (tptp.hAPP @t224 @t36)) % 0.60/1.40 (define @t949 () (tptp.hAPP @t948 @t14)) % 0.60/1.40 (define @t950 () (tptp.hAPP @t929 @t53)) % 0.60/1.40 (define @t951 () (@list @t53 @t57)) % 0.60/1.40 (define @t952 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t36 @t947)) % 0.60/1.40 (define @t953 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t947) @t36))) % 0.60/1.40 (define @t954 () (@list @t36 @t15)) % 0.60/1.40 (define @t955 () (tptp.hAPP @t929 @t849)) % 0.60/1.40 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t36 @t947)) % 0.60/1.40 (define @t957 () (@list @t14 @t208)) % 0.60/1.40 (define @t958 () (tptp.hAPP @t45 @t930)) % 0.60/1.40 (define @t959 () (@list @t34)) % 0.60/1.40 (define @t960 () (tptp.c_Complex_Orcis @t34 @t15)) % 0.60/1.40 (define @t961 () (@var "V_r2" $$unsorted)) % 0.60/1.40 (define @t962 () (@var "V_r1" $$unsorted)) % 0.60/1.40 (define @t963 () (@var "V_M_2" $$unsorted)) % 0.60/1.40 (define @t964 () (@var "V_X_2" $$unsorted)) % 0.60/1.40 (define @t965 () (tptp.hAPP @t964 @t963)) % 0.60/1.40 (define @t966 () (tptp.hAPP @t964 @t793)) % 0.60/1.40 (define @t967 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t963) @t793))) % 0.60/1.40 (define @t968 () (tptp.hAPP @t964 @t79)) % 0.60/1.40 (define @t969 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79) @t793))) % 0.60/1.40 (define @t970 () (@list @t79 @t793)) % 0.60/1.40 (define @t971 () (@list @t964 @t16)) % 0.60/1.40 (define @t972 () (tptp.hAPP @t405 @t747)) % 0.60/1.40 (define @t973 () (tptp.hAPP @t85 @t849)) % 0.60/1.40 (define @t974 () (tptp.hAPP @t973 @t14)) % 0.60/1.40 (define @t975 () (tptp.hAPP @t85 @t7)) % 0.60/1.40 (define @t976 () (tptp.hAPP tptp.c_Int_Onat @t208)) % 0.60/1.40 (define @t977 () (= @t976 @t7)) % 0.60/1.40 (define @t978 () (tptp.c_Nat__Numeral_Oneg @t208)) % 0.60/1.40 (define @t979 () (tptp.hAPP tptp.c_Int_Onat @t56)) % 0.60/1.40 (define @t980 () (tptp.hAPP tptp.c_Int_Onat @t57)) % 0.60/1.40 (define @t981 () (tptp.hBOOL (tptp.hAPP @t750 @t56))) % 0.60/1.40 (define @t982 () (tptp.hBOOL (tptp.hAPP @t295 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 0.60/1.40 (define @t983 () (@var "B_x1" $$unsorted)) % 0.60/1.40 (define @t984 () (tptp.hBOOL (tptp.hAPP @t295 @t983))) % 0.60/1.40 (define @t985 () (@list @t983)) % 0.60/1.40 (define @t986 () (@var "V_z_H_2" $$unsorted)) % 0.60/1.40 (define @t987 () (tptp.hAPP tptp.c_Int_Onat @t177)) % 0.60/1.40 (define @t988 () (tptp.hBOOL (tptp.hAPP @t750 @t177))) % 0.60/1.40 (define @t989 () (tptp.hAPP tptp.c_Int_Onat @t497)) % 0.60/1.40 (define @t990 () (tptp.hAPP @t867 @t976)) % 0.60/1.40 (define @t991 () (= @t990 @t208)) % 0.60/1.40 (define @t992 () (tptp.hAPP tptp.c_Int_Onat @t552)) % 0.60/1.40 (define @t993 () (tptp.hAPP tptp.c_Int_Onat @t178)) % 0.60/1.40 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t993 @t987)) % 0.60/1.40 (define @t995 () (= @t994 @t745)) % 0.60/1.40 (define @t996 () (=> @t751 @t991)) % 0.60/1.40 (define @t997 () (@list @t177 @t51)) % 0.60/1.40 (define @t998 () (tptp.hBOOL (tptp.hAPP @t750 @t178))) % 0.60/1.40 (define @t999 () (and (=> @t998 (= @t178 @t878)) (=> (not @t998) @t292))) % 0.60/1.40 (define @t1000 () (@list @t51 @t178)) % 0.60/1.40 (define @t1001 () (tptp.hAPP tptp.c_Int_Onat @t755)) % 0.60/1.40 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t750 @t755))) % 0.60/1.40 (define @t1003 () (@list @t755 @t208)) % 0.60/1.40 (define @t1004 () (tptp.hAPP tptp.c_Int_Onat @t35)) % 0.60/1.40 (define @t1005 () (tptp.hAPP tptp.c_Int_Onat @t36)) % 0.60/1.40 (define @t1006 () (tptp.hAPP @t973 @t711)) % 0.60/1.40 (define @t1007 () (tptp.c_Transcendental_Oln @t36)) % 0.60/1.40 (define @t1008 () (tptp.hAPP (tptp.hAPP @t408 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t36 @t208)) @t463)) @t138)) % 0.60/1.40 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t138)) % 0.60/1.40 (define @t1010 () (tptp.c_Transcendental_Oln @t56)) % 0.60/1.40 (define @t1011 () (tptp.c_Transcendental_Oln @t57)) % 0.60/1.40 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t56)) % 0.60/1.40 (define @t1013 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t57)) % 0.60/1.40 (define @t1014 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t15)) % 0.60/1.40 (define @t1015 () (= @t1014 @t15)) % 0.60/1.40 (define @t1016 () (tptp.class_Groups_Oordered__ab__group__add__abs @t16)) % 0.60/1.40 (define @t1017 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t53)) % 0.60/1.40 (define @t1018 () (tptp.hAPP @t20 @t1014)) % 0.60/1.40 (define @t1019 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t119)) % 0.60/1.40 (define @t1020 () (tptp.hAPP @t1018 @t1019)) % 0.60/1.40 (define @t1021 () (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t163) @t1020)) % 0.60/1.40 (define @t1022 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t1014 @t1019)) % 0.60/1.40 (define @t1023 () (tptp.hAPP @t17 @t1014)) % 0.60/1.40 (define @t1024 () (tptp.hAPP @t1023 @t14)) % 0.60/1.40 (define @t1025 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t601)) % 0.60/1.40 (define @t1026 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t520)) % 0.60/1.40 (define @t1027 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t36)) % 0.60/1.40 (define @t1028 () (tptp.hAPP @t17 @t1027)) % 0.60/1.40 (define @t1029 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t1014 @t1019)) % 0.60/1.40 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1029)) % 0.60/1.40 (define @t1031 () (not @t93)) % 0.60/1.40 (define @t1032 () (tptp.c_Groups_Oabs__class_Oabs @t16 @t35)) % 0.60/1.40 (define @t1033 () (@var "V_r_2" $$unsorted)) % 0.60/1.40 (define @t1034 () (tptp.hBOOL (tptp.hAPP @t668 @t1007))) % 0.60/1.40 (define @t1035 () (tptp.hBOOL (tptp.hAPP @t926 @t36))) % 0.60/1.40 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t1007)) % 0.60/1.40 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t36)) % 0.60/1.40 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 @t966))) % 0.60/1.40 (define @t1039 () (exists @t832 (and @t831 (forall @t794 (tptp.hBOOL (tptp.hAPP @t1038 @t828)))))) % 0.60/1.40 (define @t1040 () (tptp.c_SEQ_OBseq @t16 @t964)) % 0.60/1.40 (define @t1041 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t34)) % 0.60/1.40 (define @t1042 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t36)) % 0.60/1.40 (define @t1043 () (@var "V_K_2" $$unsorted)) % 0.60/1.40 (define @t1044 () (tptp.hAPP @t2 @t841)) % 0.60/1.40 (define @t1045 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.hAPP @t595 @t919))) % 0.60/1.40 (define @t1046 () (tptp.hAPP @t104 @t849)) % 0.60/1.40 (define @t1047 () (tptp.hAPP @t1046 (tptp.hAPP (tptp.hAPP @t104 @t921) @t263))) % 0.60/1.40 (define @t1048 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 tptp.c_Int_OPls)) % 0.60/1.40 (define @t1049 () (not @t1048)) % 0.60/1.40 (define @t1050 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 0.60/1.40 (define @t1051 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls)) % 0.60/1.40 (define @t1052 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 0.60/1.40 (define @t1053 () (tptp.c_Int_Onumber__class_Onumber__of @t16 tptp.c_Int_OPls)) % 0.60/1.40 (define @t1054 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t514)) % 0.60/1.40 (define @t1055 () (tptp.hBOOL (tptp.hAPP @t1054 tptp.c_Int_OPls))) % 0.60/1.40 (define @t1056 () (@list @t514)) % 0.60/1.40 (define @t1057 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t514 @t911)) % 0.60/1.40 (define @t1058 () (@list @t56 @t16)) % 0.60/1.40 (define @t1059 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t849 @t921)) % 0.60/1.40 (define @t1060 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t919 tptp.c_Int_OPls)) % 0.60/1.40 (define @t1061 () (@list @t919 @t475)) % 0.60/1.40 (define @t1062 () (tptp.hAPP @t1046 @t921)) % 0.60/1.40 (define @t1063 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 0.60/1.40 (define @t1064 () (tptp.c_Int_OBit0 @t1063)) % 0.60/1.40 (define @t1065 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t1064)) % 0.60/1.40 (define @t1066 () (tptp.hAPP @t104 @t1065)) % 0.60/1.40 (define @t1067 () (tptp.hAPP @t1066 tptp.v_m____)) % 0.60/1.40 (define @t1068 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t849 @t125)) % 0.60/1.40 (define @t1069 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t1064)) % 0.60/1.40 (define @t1070 () (tptp.hAPP (tptp.hAPP @t224 @t1069) @t14)) % 0.60/1.40 (define @t1071 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t272 tptp.c_Int_OPls)) % 0.60/1.40 (define @t1072 () (tptp.c_Int_OBit1 @t272)) % 0.60/1.40 (define @t1073 () (@list @t272)) % 0.60/1.40 (define @t1074 () (tptp.c_Int_OBit0 @t272)) % 0.60/1.40 (define @t1075 () (tptp.c_Int_OBit1 @t304)) % 0.60/1.40 (define @t1076 () (@list @t304)) % 0.60/1.40 (define @t1077 () (tptp.c_Int_OBit0 @t738)) % 0.60/1.40 (define @t1078 () (tptp.c_Int_OBit1 @t263)) % 0.60/1.40 (define @t1079 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1074)) % 0.60/1.40 (define @t1080 () (tptp.hBOOL (tptp.hAPP @t1051 @t272))) % 0.60/1.40 (define @t1081 () (tptp.c_Int_OBit0 @t304)) % 0.60/1.40 (define @t1082 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t1064)) % 0.60/1.40 (define @t1083 () (tptp.hAPP @t54 @t1065)) % 0.60/1.40 (define @t1084 () (tptp.hAPP @t18 @t1065)) % 0.60/1.40 (define @t1085 () (tptp.hAPP @t215 @t1065)) % 0.60/1.40 (define @t1086 () (tptp.hAPP @t106 @t1065)) % 0.60/1.40 (define @t1087 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t234 @t1065) (tptp.hAPP (tptp.hAPP @t17 @t56) @t1065))) % 0.60/1.40 (define @t1088 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t1086 @t1085)) % 0.60/1.40 (define @t1089 () (tptp.hAPP (tptp.hAPP @t10 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt @t208)) @t1065)) % 0.60/1.40 (define @t1090 () (forall @t437 (= @t1089 @t208))) % 0.60/1.40 (define @t1091 () (tptp.hAPP @t1066 @t14)) % 0.60/1.40 (define @t1092 () (tptp.c_Int_Onumber__class_Onumber__of @t476 @t409)) % 0.60/1.40 (define @t1093 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t208 @t208)) % 0.60/1.40 (define @t1094 () (tptp.hAPP @t18 @t1091)) % 0.60/1.40 (define @t1095 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t1064)) % 0.60/1.40 (define @t1096 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t208 @t208)) % 0.60/1.40 (define @t1097 () (@list @t208 @t16)) % 0.60/1.40 (define @t1098 () (tptp.hAPP @t20 @t1095)) % 0.60/1.40 (define @t1099 () (tptp.hAPP (tptp.hAPP @t45 @t1069) @t36)) % 0.60/1.40 (define @t1100 () (tptp.hAPP @t948 @t1065)) % 0.60/1.40 (define @t1101 () (tptp.c_Int_OBit0 @t1064)) % 0.60/1.40 (define @t1102 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t1101)) % 0.60/1.40 (define @t1103 () (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t178))) % 0.60/1.40 (define @t1104 () (tptp.c_Int_OBit0 @t178)) % 0.60/1.40 (define @t1105 () (@list @t178)) % 0.60/1.40 (define @t1106 () (tptp.c_Int_OBit1 @t178)) % 0.60/1.40 (define @t1107 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t263 @t304)) % 0.60/1.40 (define @t1108 () (tptp.c_Int_OBit0 @t1107)) % 0.60/1.40 (define @t1109 () (tptp.c_Int_OBit0 @t263)) % 0.60/1.40 (define @t1110 () (@list @t304 @t263)) % 0.60/1.40 (define @t1111 () (tptp.c_Int_OBit1 @t738)) % 0.60/1.40 (define @t1112 () (@var "V_k2_2" $$unsorted)) % 0.60/1.40 (define @t1113 () (@var "V_k1_2" $$unsorted)) % 0.60/1.40 (define @t1114 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1113) @t1112))) % 0.60/1.40 (define @t1115 () (tptp.c_Int_OBit0 @t1112)) % 0.60/1.40 (define @t1116 () (tptp.c_Int_OBit0 @t1113)) % 0.60/1.40 (define @t1117 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1116)) % 0.60/1.40 (define @t1118 () (@list @t1112 @t1113)) % 0.60/1.40 (define @t1119 () (tptp.c_Int_OBit1 @t1112)) % 0.60/1.40 (define @t1120 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1072)) % 0.60/1.40 (define @t1121 () (tptp.c_Int_OBit1 @t1113)) % 0.60/1.40 (define @t1122 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1121)) % 0.60/1.40 (define @t1123 () (= @t272 @t738)) % 0.60/1.40 (define @t1124 () (tptp.c_Int_Osucc @t263)) % 0.60/1.40 (define @t1125 () (tptp.c_Int_OBit0 (tptp.hAPP @t498 @t304))) % 0.60/1.40 (define @t1126 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 @t304)) % 0.60/1.40 (define @t1127 () (tptp.c_Int_OBit1 @t1126)) % 0.60/1.40 (define @t1128 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1113 @t1112)) % 0.60/1.40 (define @t1129 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t497)) % 0.60/1.40 (define @t1130 () (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t1098 @t36)) @t35)) % 0.60/1.40 (define @t1131 () (tptp.c_Int_Onumber__class_Onumber__of @t16 (tptp.c_Int_OBit0 @t409))) % 0.60/1.40 (define @t1132 () (tptp.c_Int_Onumber__class_Onumber__of @t16 @t1063)) % 0.60/1.40 (define @t1133 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t1063)) % 0.60/1.40 (define @t1134 () (tptp.hAPP @t850 @t1005)) % 0.60/1.40 (define @t1135 () (tptp.c_Int_OBit1 @t1063)) % 0.60/1.40 (define @t1136 () (@var "T_1" $$unsorted)) % 0.60/1.40 (define @t1137 () (@var "T_2" $$unsorted)) % 0.60/1.40 (define @t1138 () (tptp.tc_fun @t1137 @t1136)) % 0.60/1.40 (define @t1139 () (@list @t1137 @t1136)) % 0.60/1.40 (define @t1140 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (define @t1141 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt tptp.v_z____)) % 0.60/1.40 (define @t1142 () (tptp.hAPP @t10 @t1141)) % 0.60/1.40 (define @t1143 () (tptp.hAPP @t1142 tptp.v_na____)) % 0.60/1.40 (define @t1144 () (tptp.hAPP @t12 @t1143)) % 0.60/1.40 (define @t1145 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 @t1144)) % 0.60/1.40 (define @t1146 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1145)) % 0.60/1.40 (define @t1147 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1146 @t9)) % 0.60/1.40 (define @t1148 () (tptp.hAPP @t10 (tptp.hAPP @t1142 @t1065))) % 0.60/1.40 (define @t1149 () (tptp.hAPP @t1148 tptp.v_m____)) % 0.60/1.40 (define @t1150 () (= @t1149 (tptp.hAPP @t1142 @t1067))) % 0.60/1.40 (define @t1151 () (not @t1140)) % 0.60/1.40 (define @t1152 () (or @t1151 @t1150)) % 0.60/1.40 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.60/1.40 (assume @p2 (not (= tptp.v_na____ @t7))) % 0.60/1.40 (assume @p3 (not (= tptp.v_b @t8))) % 0.60/1.40 (assume @p4 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP @t10 tptp.v_z____) tptp.v_m____)))) @t9)) % 0.60/1.40 (assume @p5 (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat tptp.v_na____)) % 0.60/1.40 (assume @p6 (not (= tptp.v_n @t7))) % 0.60/1.40 (assume @p7 (forall @t26 (=> @t25 (=> @t24 (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t22))))) % 0.60/1.40 (assume @p8 (forall @t26 (=> @t25 (=> @t24 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t22))))) % 0.60/1.40 (assume @p9 (not (forall @t30 (not @t29)))) % 0.60/1.40 (assume @p10 (forall @t32 (=> @t31 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t23) @t9)))) % 0.60/1.40 (assume @p11 (forall @t44 (=> @t43 (=> @t42 (=> @t40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t34 @t33))))))) % 0.60/1.40 (assume @p12 (forall @t44 (=> @t49 (=> @t42 (=> @t40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t48 (tptp.hAPP (tptp.hAPP @t45 @t34) @t33))))))) % 0.60/1.40 (assume @p13 (forall (@list @t50 @t51 @t53 @t16) (=> @t25 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t53) (= (= (tptp.hAPP @t54 @t51) @t55) @t52))))) % 0.60/1.40 (assume @p14 (forall @t64 (=> @t25 (=> @t63 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t62 @t61) @t58))))) % 0.60/1.40 (assume @p15 (forall @t68 (=> @t25 (=> @t24 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t67 @t19) @t66))))) % 0.60/1.40 (assume @p16 (forall @t72 (=> @t25 (=> @t71 (=> @t24 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t70)))))) % 0.60/1.40 (assume @p17 (forall @t76 (=> @t75 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t65 @t65) (tptp.hAPP @t74 @t65))))) % 0.60/1.40 (assume @p18 @t77) % 0.60/1.40 (assume @p19 @t78) % 0.60/1.40 (assume @p20 (forall @t80 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 tptp.v_na____) (=> (not (= @t79 @t7)) (exists @t30 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 (tptp.hAPP @t12 (tptp.hAPP @t28 @t79)))) @t9)))))) % 0.60/1.40 (assume @p21 (forall @t32 (=> @t43 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t82) @t81)))) % 0.60/1.40 (assume @p22 (forall @t88 (= @t87 (or @t84 @t83)))) % 0.60/1.40 (assume @p23 (forall @t91 (=> @t43 (= (= @t90 @t81) @t89)))) % 0.60/1.40 (assume @p24 (forall @t99 (=> @t98 (= (= @t55 @t82) (and @t93 @t92))))) % 0.60/1.40 (assume @p25 (forall (@list @t14 @t65 @t100) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t100) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t101 @t65) (tptp.hAPP @t101 @t14)) @t66)))) % 0.60/1.40 (assume @p26 @t110) % 0.60/1.40 (assume @p27 (forall @t68 (=> @t113 (= (tptp.hAPP @t18 @t112) (tptp.hAPP (tptp.hAPP @t17 @t67) @t14))))) % 0.60/1.40 (assume @p28 (forall @t114 (=> @t49 (= (tptp.hAPP @t46 @t82) @t82)))) % 0.60/1.40 (assume @p29 (forall @t116 (=> @t49 @t115))) % 0.60/1.40 (assume @p30 (forall @t116 (=> @t75 @t115))) % 0.60/1.40 (assume @p31 (forall @t118 (=> @t49 (= (tptp.hAPP @t117 @t35) @t82)))) % 0.60/1.40 (assume @p32 (forall (@list @t119 @t16) (=> @t49 (= (tptp.hAPP @t117 @t119) @t82)))) % 0.60/1.40 (assume @p33 (forall @t116 (=> @t75 @t120))) % 0.60/1.40 (assume @p34 (forall (@list @t53 @t59 @t16) (=> @t122 (= (= @t59 @t121) @t93)))) % 0.60/1.40 (assume @p35 (forall @t116 (=> @t75 @t123))) % 0.60/1.40 (assume @p36 (forall @t116 (=> @t75 @t124))) % 0.60/1.40 (assume @p37 (forall @t114 (=> @t75 (= (tptp.hAPP @t106 @t125) @t36)))) % 0.60/1.40 (assume @p38 (forall @t116 (=> @t113 (= (tptp.hAPP @t18 @t125) @t15)))) % 0.60/1.40 (assume @p39 (forall @t26 (=> @t128 (=> @t127 (not (= @t19 @t82)))))) % 0.60/1.40 (assume @p40 (forall @t134 (=> @t133 (and (=> @t131 (= @t130 @t23)) (=> @t132 (= @t130 @t82)))))) % 0.60/1.40 (assume @p41 (forall @t91 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t90) @t135)))) % 0.60/1.40 (assume @p42 (forall @t109 (=> @t75 (= (tptp.hAPP (tptp.hAPP @t20 @t107) @t136) (tptp.hAPP @t106 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t103 @t102)))))) % 0.60/1.40 (assume @p43 (forall @t68 (=> @t113 (= (tptp.hAPP @t18 @t137) (tptp.hAPP (tptp.hAPP @t20 @t67) @t19))))) % 0.60/1.40 (assume @p44 (forall (@list @t138 @t140 @t119 @t15 @t34 @t16) (=> @t122 (=> (not (= @t34 @t82)) (=> (and @t141 (not (= @t140 @t138))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 (tptp.hAPP @t139 @t140)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t119 (tptp.hAPP @t139 @t138))))))))) % 0.60/1.40 (assume @p45 (forall @t26 (=> @t25 (=> @t142 (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t19))))) % 0.60/1.40 (assume @p46 (forall @t114 (=> @t75 (= (tptp.hAPP @t106 @t7) @t23)))) % 0.60/1.40 (assume @p47 (forall @t116 (=> @t97 (= (tptp.hAPP @t18 @t7) @t23)))) % 0.60/1.40 (assume @p48 (forall @t72 (=> @t25 (=> @t71 (=> @t142 (=> @t143 (tptp.c_Orderings_Oord__class_Oless @t16 @t70 @t19))))))) % 0.60/1.40 (assume @p49 (forall @t26 (=> @t25 (=> @t24 (=> @t144 (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t19)))))) % 0.60/1.40 (assume @p50 (forall @t26 (=> @t25 (=> @t142 (=> @t143 (tptp.c_Orderings_Oord__class_Oless @t16 @t22 @t19)))))) % 0.60/1.40 (assume @p51 (forall @t156 (=> @t75 (= @t155 (tptp.hAPP @t151 (tptp.hAPP @t147 @t145)))))) % 0.60/1.40 (assume @p52 (forall @t156 (=> @t75 (= @t155 (tptp.hAPP @t152 (tptp.hAPP @t154 @t145)))))) % 0.60/1.40 (assume @p53 (forall @t156 (=> @t75 (= @t155 (tptp.hAPP @t150 (tptp.hAPP @t147 @t153)))))) % 0.60/1.40 (assume @p54 (forall @t158 (=> @t75 (= @t157 (tptp.hAPP @t151 @t146))))) % 0.60/1.40 (assume @p55 (forall @t158 (=> @t75 (= @t157 (tptp.hAPP @t150 (tptp.hAPP @t147 @t148)))))) % 0.60/1.40 (assume @p56 (forall @t160 (=> @t75 (= @t159 (tptp.hAPP @t151 @t145))))) % 0.60/1.40 (assume @p57 (forall @t160 (=> @t75 (= @t159 (tptp.hAPP @t152 (tptp.hAPP @t150 @t145)))))) % 0.60/1.40 (assume @p58 (forall @t164 (=> @t75 (= @t163 @t162)))) % 0.60/1.40 (assume @p59 (forall @t169 (=> @t75 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t168 @t167) (tptp.c_Groups_Oplus__class_Oplus @t16 @t166 @t165))))) % 0.60/1.40 (assume @p60 (forall @t171 (=> @t75 (= @t170 (tptp.c_Groups_Oplus__class_Oplus @t16 @t166 @t119))))) % 0.60/1.40 (assume @p61 (forall @t171 (=> @t75 @t173))) % 0.60/1.40 (assume @p62 (forall @t175 (=> @t75 (= @t174 (tptp.c_Groups_Oplus__class_Oplus @t16 @t166 @t138))))) % 0.60/1.40 (assume @p63 (forall @t175 (=> @t75 (= @t174 (tptp.c_Groups_Oplus__class_Oplus @t16 @t140 (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t138)))))) % 0.60/1.40 (assume @p64 (forall (@list @t140 @t15 @t16) (=> @t75 (= @t166 @t176)))) % 0.60/1.40 (assume @p65 (forall (@list @t177 @t57 @t56 @t178 @t16) (=> @t122 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t180 @t56) (tptp.hAPP @t179 @t177)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t180 @t177) (tptp.hAPP @t179 @t56))) (or (= @t178 @t57) (= @t56 @t177)))))) % 0.60/1.40 (assume @p66 (forall (@list @t119 @t65 @t15 @t16) (=> @t75 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t182 (tptp.hAPP @t161 @t65)) (tptp.hAPP @t181 @t65))))) % 0.60/1.40 (assume @p67 (forall @t187 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t20 @t37) @t183) (tptp.c_Groups_Oplus__class_Oplus @t16 @t186 @t185))))) % 0.60/1.40 (assume @p68 (forall @t190 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t20 (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t188)) @t119) (tptp.c_Groups_Oplus__class_Oplus @t16 @t163 @t189))))) % 0.60/1.40 (assume @p69 (forall @t171 (=> @t75 @t193))) % 0.60/1.40 (assume @p70 (forall @t202 (=> @t122 (= (and (not @t201) (not @t200)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t199 (tptp.hAPP @t195 @t197)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t198 @t197) @t196))))))) % 0.60/1.40 (assume @p71 (forall @t207 (=> @t49 (= (tptp.hAPP @t204 @t37) (tptp.c_Groups_Oplus__class_Oplus @t16 @t206 @t205))))) % 0.60/1.40 (assume @p72 (forall @t209 (=> @t75 (= (tptp.hAPP @t46 (tptp.c_Groups_Oplus__class_Oplus @t16 @t35 @t208)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t47 (tptp.hAPP @t46 @t208)))))) % 0.60/1.40 (assume @p73 (forall @t212 (=> @t49 (= (tptp.hAPP @t21 (tptp.c_Groups_Oplus__class_Oplus @t16 @t119 @t210)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t163 @t211))))) % 0.60/1.40 (assume @p74 (forall @t116 (=> @t75 @t213))) % 0.60/1.40 (assume @p75 (forall @t116 (=> @t75 @t214))) % 0.60/1.40 (assume @p76 (forall (@list @t102 @t35 @t36 @t16) (=> @t75 (= (tptp.hAPP (tptp.hAPP @t17 @t47) @t102) (tptp.hAPP (tptp.hAPP @t20 @t136) (tptp.hAPP @t215 @t102)))))) % 0.60/1.40 (assume @p77 (forall @t219 (=> @t218 (= (tptp.hAPP (tptp.hAPP @t17 @t163) @t14) (tptp.hAPP @t217 @t216))))) % 0.60/1.40 (assume @p78 (forall @t26 (=> @t113 (= (tptp.hAPP @t217 @t15) @t22)))) % 0.60/1.40 (assume @p79 (forall @t134 (=> @t113 (= (tptp.hAPP @t220 @t14) @t23)))) % 0.60/1.40 (assume @p80 (forall @t223 (=> @t222 (= @t48 @t221)))) % 0.60/1.40 (assume @p81 (forall @t228 (=> @t222 (= @t227 @t225)))) % 0.60/1.40 (assume @p82 (forall (@list @t65 @t15 @t16) (=> @t75 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t182 @t65) @t230)))) % 0.60/1.40 (assume @p83 (forall (@list @t15 @t65 @t16) (=> @t75 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t65 @t182) @t230)))) % 0.60/1.40 (assume @p84 (=> @t78 (=> @t77 (exists @t30 @t29)))) % 0.60/1.40 (assume @p85 (forall @t237 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t235) (or @t83 (and @t232 @t135) (and @t233 @t231)))))) % 0.60/1.40 (assume @p86 (forall @t238 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t7)))) % 0.60/1.40 (assume @p87 (forall @t237 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t235 @t82) (and @t233 @t239))))) % 0.60/1.40 (assume @p88 (forall @t32 (=> @t25 (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t73)))) % 0.60/1.40 (assume @p89 (forall @t244 (=> @t243 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t242) @t241)))) % 0.60/1.40 (assume @p90 (forall @t223 (=> @t247 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t246 @t82))))) % 0.60/1.40 (assume @p91 (forall @t249 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.hAPP @t86 @t56)) (and @t248 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t56))))) % 0.60/1.40 (assume @p92 (forall @t238 (=> @t251 @t144))) % 0.60/1.40 (assume @p93 (forall @t116 (=> @t25 (tptp.c_Orderings_Oord__class_Oless @t16 @t15 @t229)))) % 0.60/1.40 (assume @p94 (forall @t253 (=> @t25 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t65) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t14) (tptp.c_Orderings_Oord__class_Oless @t16 @t23 (tptp.hAPP @t252 @t14))))))) % 0.60/1.40 (assume @p95 (forall @t32 (=> @t25 (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t23)))) % 0.60/1.40 (assume @p96 (forall @t238 (= (tptp.hAPP (tptp.hAPP @t104 @t125) @t14) @t14))) % 0.60/1.40 (assume @p97 (forall @t257 (= (= @t125 @t256) @t254))) % 0.60/1.40 (assume @p98 (forall @t238 (= (tptp.hAPP @t258 @t125) @t14))) % 0.60/1.40 (assume @p99 (forall @t260 (= @t137 @t259))) % 0.60/1.40 (assume @p100 (forall @t260 (= @t112 (tptp.hAPP @t258 @t65)))) % 0.60/1.40 (assume @p101 (forall @t262 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t36 @t261) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t36 @t208))))) % 0.60/1.40 (assume @p102 (forall @t267 (= (tptp.hAPP @t264 @t137) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t266 @t265)))) % 0.60/1.40 (assume @p103 (forall @t257 (= (= @t256 @t125) @t254))) % 0.60/1.40 (assume @p104 (forall @t269 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t137 @t263) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t268)))) % 0.60/1.40 (assume @p105 (forall @t269 (= (tptp.hAPP (tptp.hAPP @t104 @t112) @t263) (tptp.hAPP @t111 @t270)))) % 0.60/1.40 (assume @p106 (forall @t269 (= (tptp.hAPP (tptp.hAPP @t104 @t137) @t263) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t271 @t270)))) % 0.60/1.40 (assume @p107 (forall @t275 (= (= @t274 @t273) @t52))) % 0.60/1.40 (assume @p108 (forall @t276 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t272) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t272)) @t52))) % 0.60/1.40 (assume @p109 (forall @t114 (=> @t43 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t81))))) % 0.60/1.40 (assume @p110 (forall @t223 (=> @t236 @t282))) % 0.60/1.40 (assume @p111 (forall @t260 (=> (= @t137 @t65) @t131))) % 0.60/1.40 (assume @p112 (forall @t260 (=> (= @t65 @t112) (or (= @t14 @t125) @t283)))) % 0.60/1.40 (assume @p113 (forall @t276 (= (= @t287 @t286) @t285))) % 0.60/1.40 (assume @p114 (forall @t275 (= @t291 @t285))) % 0.60/1.40 (assume @p115 (forall @t257 (= (= @t256 @t7) (or @t292 @t83)))) % 0.60/1.40 (assume @p116 (forall @t257 (= (= @t293 @t7) (and @t292 @t83)))) % 0.60/1.40 (assume @p117 (forall @t294 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t7) @t65))) % 0.60/1.40 (assume @p118 (forall @t294 (= (tptp.hAPP @t111 @t7) @t7))) % 0.60/1.40 (assume @p119 (forall @t238 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t14) @t14))) % 0.60/1.40 (assume @p120 (forall @t238 (= (tptp.hAPP (tptp.hAPP @t104 @t7) @t14) @t7))) % 0.60/1.40 (assume @p121 (forall (@list @t295 @t50 @t51) (=> (=> @t299 @t297) (=> (=> @t52 @t297) (=> (=> @t298 @t297) @t297))))) % 0.60/1.40 (assume @p122 (forall @t302 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t301 @t263) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t263)))) % 0.60/1.40 (assume @p123 (forall (@list @t14 @t65 @t304 @t263) (=> @t305 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t304) @t303) @t66)))) % 0.60/1.40 (assume @p124 (forall @t309 (=> @t308 (=> @t305 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t307 @t306))))) % 0.60/1.40 (assume @p125 (forall @t302 (=> @t308 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t307 @t310)))) % 0.60/1.40 (assume @p126 (forall @t312 (=> @t308 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t311)))) % 0.60/1.40 (assume @p127 (forall @t312 (=> @t308 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t313)))) % 0.60/1.40 (assume @p128 (forall (@list @t314 @t33) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t33 @t314) (not (= @t33 @t314))))) % 0.60/1.40 (assume @p129 (forall @t317 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t65) @t316))) % 0.60/1.40 (assume @p130 (forall @t238 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t14)))) % 0.60/1.40 (assume @p131 (forall @t319 (=> @t281 (=> (not @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t36))))) % 0.60/1.40 (assume @p132 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t274 @t273) @t299))) % 0.60/1.40 (assume @p133 (forall @t257 (= @t320 (or @t299 @t298)))) % 0.60/1.40 (assume @p134 (forall (@list @t100 @t300) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t321 @t100)))) % 0.60/1.40 (assume @p135 (forall (@list @t300 @t100) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t301 @t100)))) % 0.60/1.40 (assume @p136 (forall @t249 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t56)) (or @t324 @t323)))) % 0.60/1.40 (assume @p137 (forall @t249 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t57) @t56)) (or @t248 @t322)))) % 0.60/1.40 (assume @p138 (forall @t257 (= @t326 (= @t325 @t232)))) % 0.60/1.40 (assume @p139 (forall @t257 (= (not @t326) (= @t325 @t233)))) % 0.60/1.40 (assume @p140 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t125))) % 0.60/1.40 (assume @p141 (forall @t116 (=> @t96 @t120))) % 0.60/1.40 (assume @p142 (forall @t116 (=> @t96 @t115))) % 0.60/1.40 (assume @p143 (forall @t328 (=> (tptp.class_Rings_Oring__no__zero__divisors @t16) (= (= @t327 @t82) (or @t93 (= @t59 @t82)))))) % 0.60/1.40 (assume @p144 (forall @t164 (=> @t95 (=> @t127 (=> (not @t330) (not @t329)))))) % 0.60/1.40 (assume @p145 (forall @t164 (=> @t95 (=> @t329 (or @t126 @t330))))) % 0.60/1.40 (assume @p146 (forall @t32 (=> @t94 (not (= @t23 @t82))))) % 0.60/1.40 (assume @p147 (forall @t32 (=> @t94 (not (= @t82 @t23))))) % 0.60/1.40 (assume @p148 (forall @t171 (=> (tptp.class_Rings_Ocomm__semiring @t16) @t193))) % 0.60/1.40 (assume @p149 (forall (@list @t140 @t119 @t331 @t15 @t16) (=> (tptp.class_Rings_Osemiring @t16) (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t21 @t331) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t161 @t331) @t140)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t181 @t331) @t140))))) % 0.60/1.40 (assume @p150 (forall @t238 (=> @t132 @t144))) % 0.60/1.40 (assume @p151 (forall @t302 (=> @t308 (=> @t334 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t333 @t332))))) % 0.60/1.40 (assume @p152 (forall @t302 (=> @t308 (=> @t334 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 @t336))))) % 0.60/1.40 (assume @p153 (forall @t260 (=> @t66 @t132))) % 0.60/1.40 (assume @p154 (forall @t276 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t287 @t286) @t340))) % 0.60/1.40 (assume @p155 (forall @t275 (= @t341 @t340))) % 0.60/1.40 (assume @p156 (forall @t88 (= @t87 (or @t83 @t84)))) % 0.60/1.40 (assume @p157 (forall @t257 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t256) (and @t343 @t342)))) % 0.60/1.40 (assume @p158 (forall @t257 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t293) (or @t343 @t342)))) % 0.60/1.40 (assume @p159 (forall @t344 (= @t92 @t342))) % 0.60/1.40 (assume @p160 (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t7)) % 0.60/1.40 (assume @p161 (forall @t116 (=> @t247 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t345 @t82))))) % 0.60/1.40 (assume @p162 (forall @t351 (=> @t243 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t199 @t196) @t350)))) % 0.60/1.40 (assume @p163 (forall @t356 (=> @t243 (= @t355 @t350)))) % 0.60/1.40 (assume @p164 (forall @t356 (=> @t243 (=> @t349 (= @t355 @t348))))) % 0.60/1.40 (assume @p165 (forall @t164 (=> @t359 (=> @t142 (=> @t358 @t357))))) % 0.60/1.40 (assume @p166 (forall @t164 (=> @t359 (=> @t142 (=> @t361 @t360))))) % 0.60/1.40 (assume @p167 (forall @t164 (=> @t359 (=> @t142 (=> @t361 (tptp.c_Orderings_Oord__class_Oless @t16 @t162 @t82)))))) % 0.60/1.40 (assume @p168 (forall @t164 (=> @t359 (=> @t357 @t362)))) % 0.60/1.40 (assume @p169 (forall @t363 (=> @t359 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t162) @t362)))) % 0.60/1.40 (assume @p170 (forall @t356 (=> @t243 (=> @t347 (= @t355 @t346))))) % 0.60/1.40 (assume @p171 (forall @t164 (=> @t359 (=> @t364 (=> @t358 @t360))))) % 0.60/1.40 (assume @p172 (forall @t164 (=> @t243 (=> @t364 (=> @t361 @t357))))) % 0.60/1.40 (assume @p173 (forall @t171 (=> @t359 (=> @t367 (=> @t366 @t365))))) % 0.60/1.40 (assume @p174 (forall @t171 (=> @t359 @t372))) % 0.60/1.40 (assume @p175 (forall @t171 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t16) @t372))) % 0.60/1.40 (assume @p176 (forall @t375 (=> @t243 (=> @t374 (=> @t373 @t365))))) % 0.60/1.40 (assume @p177 (forall @t375 (=> @t243 (=> @t374 (=> @t373 @t371))))) % 0.60/1.40 (assume @p178 (forall @t171 (=> @t25 (=> @t142 @t378)))) % 0.60/1.40 (assume @p179 (forall @t244 (=> @t243 (= (= @t242 @t82) @t379)))) % 0.60/1.40 (assume @p180 (forall @t32 (=> @t25 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t23 @t82))))) % 0.60/1.40 (assume @p181 (forall @t249 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t384 (tptp.hAPP @t382 @t56)) @t81) @t381))) % 0.60/1.40 (assume @p182 (forall (@list @t35 @t36 @t208) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t208) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 @t35) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t385 @t36) (tptp.hAPP @t385 @t35)))))) % 0.60/1.40 (assume @p183 (forall @t319 (=> @t388 (=> @t387 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t386))))) % 0.60/1.40 (assume @p184 (forall @t393 (=> @t392 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t391 @t390) @t389)))) % 0.60/1.40 (assume @p185 (forall @t394 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t384)) @t380))) % 0.60/1.40 (assume @p186 (forall @t275 (=> @t339 (= @t341 @t299)))) % 0.60/1.40 (assume @p187 (forall @t275 (=> @t339 (= @t291 @t52)))) % 0.60/1.40 (assume @p188 (forall @t397 (=> @t396 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t395) (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t53))))) % 0.60/1.40 (assume @p189 (forall @t397 (=> @t236 @t398))) % 0.60/1.40 (assume @p190 (forall @t397 (=> @t396 @t398))) % 0.60/1.40 (assume @p191 (forall @t91 (=> (tptp.class_Groups_Ozero @t16) (= (= @t82 @t57) @t89)))) % 0.60/1.40 (assume @p192 (forall @t171 (=> (tptp.class_Groups_Oab__semigroup__mult @t16) (= (tptp.hAPP (tptp.hAPP @t20 @t163) @t140) (tptp.hAPP @t21 @t191))))) % 0.60/1.40 (assume @p193 (forall @t375 (=> @t400 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t119 @t15) @t176) @t399)))) % 0.60/1.40 (assume @p194 (forall @t171 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t16) @t401))) % 0.60/1.40 (assume @p195 (forall @t171 (=> @t400 @t401))) % 0.60/1.40 (assume @p196 (forall (@list @t194 @t53 @t59 @t16) (=> @t400 (= (= @t121 @t403) @t402)))) % 0.60/1.40 (assume @p197 (forall (@list @t194 @t59 @t53 @t16) (=> @t400 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t53 @t59) @t404) @t402)))) % 0.60/1.40 (assume @p198 (forall @t171 (=> (tptp.class_Groups_Oab__semigroup__add @t16) @t173))) % 0.60/1.40 (assume @p199 (forall @t91 (=> (tptp.class_Groups_Oone @t16) (= (= @t23 @t57) (= @t57 @t23))))) % 0.60/1.40 (assume @p200 (forall @t262 (= (tptp.hAPP @t406 @t261) (tptp.hAPP (tptp.hAPP @t408 @t407) (tptp.hAPP @t406 @t208))))) % 0.60/1.40 (assume @p201 (forall @t410 (= (tptp.hAPP @t385 @t409) (tptp.hAPP (tptp.hAPP @t45 @t409) @t208)))) % 0.60/1.40 (assume @p202 (forall @t416 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP @t415 @t412)) @t411) (tptp.hAPP @t415 (tptp.hAPP @t413 @t411))))) % 0.60/1.40 (assume @p203 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t405 @t407) @t208) (tptp.hAPP @t406 (tptp.hAPP (tptp.hAPP @t104 @t35) @t208))))) % 0.60/1.40 (assume @p204 (forall @t397 (=> @t396 (= (= @t395 @t82) @t93)))) % 0.60/1.40 (assume @p205 (forall @t116 (=> @t417 @t123))) % 0.60/1.40 (assume @p206 (forall @t116 (=> @t418 @t123))) % 0.60/1.40 (assume @p207 (forall @t397 (=> @t396 (= (= @t82 @t395) @t93)))) % 0.60/1.40 (assume @p208 (forall @t116 (=> @t417 @t124))) % 0.60/1.40 (assume @p209 (forall @t116 (=> @t418 @t124))) % 0.60/1.40 (assume @p210 (forall @t422 (=> @t421 (=> @t420 @t367)))) % 0.60/1.40 (assume @p211 (forall @t424 (=> @t421 (=> @t423 @t367)))) % 0.60/1.40 (assume @p212 (forall @t169 (=> @t428 (=> @t367 @t427)))) % 0.60/1.40 (assume @p213 (forall @t171 (=> @t428 (=> @t367 @t420)))) % 0.60/1.40 (assume @p214 (forall @t171 (=> @t428 (=> @t367 @t423)))) % 0.60/1.40 (assume @p215 (forall @t356 (=> @t421 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t403 @t429) @t348)))) % 0.60/1.40 (assume @p216 (forall @t351 (=> @t421 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t404 @t430) @t348)))) % 0.60/1.40 (assume @p217 (forall @t116 (=> @t218 @t213))) % 0.60/1.40 (assume @p218 (forall @t116 (=> @t113 @t213))) % 0.60/1.40 (assume @p219 (forall @t116 (=> @t218 @t214))) % 0.60/1.40 (assume @p220 (forall @t116 (=> @t113 @t214))) % 0.60/1.40 (assume @p221 (forall @t275 (= @t291 (or @t284 @t52)))) % 0.60/1.40 (assume @p222 (forall @t432 (=> @t431 (= (= (tptp.hAPP (tptp.hAPP @t45 @t53) @t194) (tptp.hAPP (tptp.hAPP @t45 @t59) @t194)) @t201)))) % 0.60/1.40 (assume @p223 (forall @t432 (=> @t431 (= (= (tptp.hAPP @t433 @t53) (tptp.hAPP @t433 @t59)) @t201)))) % 0.60/1.40 (assume @p224 (not (= @t81 @t9))) % 0.60/1.40 (assume @p225 (forall (@list @t263 @t300 @t434 @t100) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t263)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t301) @t434) @t263)))) % 0.60/1.40 (assume @p226 (forall @t437 (= (tptp.hAPP (tptp.hAPP @t45 @t9) @t208) @t208))) % 0.60/1.40 (assume @p227 (forall @t438 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t414 @t412)) @t409) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t415 @t409) (tptp.hAPP @t413 @t409))))) % 0.60/1.40 (assume @p228 (forall @t164 (=> @t441 (=> @t364 @t440)))) % 0.60/1.40 (assume @p229 (forall @t164 (=> @t441 (=> @t142 @t443)))) % 0.60/1.40 (assume @p230 (forall @t32 (=> @t97 (= @t17 (tptp.c_Power_Opower_Opower @t16 @t23 @t20))))) % 0.60/1.40 (assume @p231 (forall @t262 (=> @t318 @t444))) % 0.60/1.40 (assume @p232 (forall @t445 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t208) @t444))) % 0.60/1.40 (assume @p233 (forall @t448 (=> @t144 (=> @t447 (exists (@list @t446) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t446) (= (tptp.hAPP (tptp.hAPP @t224 @t446) @t14) @t15))))))) % 0.60/1.40 (assume @p234 (forall @t448 (=> @t144 (=> @t447 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t3) (= (tptp.hAPP (tptp.hAPP @t224 @t3) @t14) @t15) (forall @t450 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t449) (= (tptp.hAPP (tptp.hAPP @t224 @t449) @t14) @t15)) (= @t449 @t3))))))))) % 0.60/1.40 (assume @p235 (forall @t456 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t455) (or @t454 (and @t452 @t135) (and @t453 @t231)))))) % 0.60/1.40 (assume @p236 (forall @t219 (=> @t25 (=> @t367 (=> @t459 (=> @t144 @t457)))))) % 0.60/1.40 (assume @p237 (forall @t461 (=> @t113 (=> @t144 (= (tptp.hAPP (tptp.hAPP @t20 (tptp.hAPP @t106 @t460)) @t36) @t226))))) % 0.60/1.40 (assume @p238 (forall @t238 (tptp.hBOOL (tptp.hAPP @t462 @t14)))) % 0.60/1.40 (assume @p239 (forall @t437 (= (tptp.hAPP (tptp.hAPP @t408 @t463) @t208) @t208))) % 0.60/1.40 (assume @p240 (forall @t437 (= (tptp.hAPP @t464 @t463) @t208))) % 0.60/1.40 (assume @p241 (forall @t410 (= (tptp.hAPP @t464 @t409) @t466))) % 0.60/1.40 (assume @p242 (forall @t328 (=> @t470 (= @t469 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t467) @t82)))))) % 0.60/1.40 (assume @p243 (forall @t474 (= (tptp.hAPP @t465 @t473) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t472 @t471)))) % 0.60/1.40 (assume @p244 (forall @t484 (=> @t483 (= (tptp.hAPP @t479 (tptp.c_Groups_Ominus__class_Ominus @t476 @t119 @t140)) (tptp.c_Groups_Ominus__class_Ominus @t476 @t481 @t480))))) % 0.60/1.40 (assume @p245 (forall (@list @t140 @t409 @t475 @t16) (=> @t489 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t488 (tptp.c_Groups_Ominus__class_Ominus @t16 @t487 @t140)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t486 @t140))))) % 0.60/1.40 (assume @p246 (forall @t416 (= (tptp.hAPP (tptp.hAPP @t408 (tptp.hAPP @t491 @t412)) @t411) (tptp.hAPP @t491 (tptp.hAPP @t490 @t411))))) % 0.60/1.40 (assume @p247 (forall @t438 (= (tptp.hAPP (tptp.hAPP @t408 @t473) @t409) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t493 @t492)))) % 0.60/1.40 (assume @p248 (forall @t496 (=> @t483 (= (tptp.hAPP (tptp.hAPP @t478 (tptp.c_Groups_Ominus__class_Ominus @t476 @t15 @t119)) @t477) (tptp.c_Groups_Ominus__class_Ominus @t476 @t495 @t494))))) % 0.60/1.40 (assume @p249 (forall @t257 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t51) (= (= (tptp.hAPP (tptp.hAPP @t408 @t51) @t50) @t463) (and (= @t51 @t463) (= @t50 @t463)))))) % 0.60/1.40 (assume @p250 (forall @t302 (=> @t500 (=> @t499 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t498 @t100) (tptp.hAPP @t498 @t300)))))) % 0.60/1.40 (assume @p251 (forall @t501 (=> @t489 (= (tptp.c_Int_Onumber__class_Onumber__of @t16 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t475 @t409)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t488 @t487))))) % 0.60/1.40 (assume @p252 (forall (@list @t57 @t178 @t16) (=> @t503 (= (= @t502 @t57) (= @t57 @t502))))) % 0.60/1.40 (assume @p253 (forall @t244 (=> (and @t489 (tptp.class_Int_Oring__char__0 @t16)) (= (= @t506 @t505) @t504)))) % 0.60/1.40 (assume @p254 (forall @t244 (=> @t510 (= (tptp.hBOOL (tptp.hAPP @t509 @t505)) @t508)))) % 0.60/1.40 (assume @p255 (forall @t202 (=> @t512 (=> @t511 (= @t201 @t200))))) % 0.60/1.40 (assume @p256 (forall @t202 (=> @t470 (=> @t511 (= @t469 (tptp.hBOOL (tptp.hAPP @t513 @t197))))))) % 0.60/1.40 (assume @p257 (forall (@list @t178 @t514 @t16) (=> (and @t503 @t516) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t515) @t502)) (not (tptp.c_Orderings_Oord__class_Oless @t16 @t502 @t515)))))) % 0.60/1.40 (assume @p258 (forall @t319 (=> @t318 @t518))) % 0.60/1.40 (assume @p259 (forall @t445 (=> (tptp.hBOOL (tptp.hAPP @t517 @t208)) @t519))) % 0.60/1.40 (assume @p260 (forall @t262 (=> @t518 @t519))) % 0.60/1.40 (assume @p261 (forall @t164 (=> @t43 (tptp.hBOOL (tptp.hAPP @t525 @t521))))) % 0.60/1.40 (assume @p262 (forall @t260 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t526) @t65)))) % 0.60/1.40 (assume @p263 (forall @t302 (= @t528 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t263) @t300)))) % 0.60/1.40 (assume @p264 (forall @t533 (=> @t532 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530) @t529))))) % 0.60/1.40 (assume @p265 (forall @t533 (=> @t532 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t304)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t304)))))) % 0.60/1.40 (assume @p266 (forall @t535 (=> (tptp.hBOOL (tptp.hAPP @t534 @t14)) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t100)) @t100)))) % 0.60/1.40 (assume @p267 (forall @t275 (=> @t540 (=> @t539 (= (= @t537 @t536) @t52))))) % 0.60/1.40 (assume @p268 (forall @t267 (=> (tptp.hBOOL (tptp.hAPP @t541 @t65)) (=> @t542 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t263) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t263)) @t526))))) % 0.60/1.40 (assume @p269 (forall @t275 (=> @t540 (=> @t539 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537) @t536)) @t544))))) % 0.60/1.40 (assume @p270 (forall @t275 (=> @t540 (=> @t539 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t537 @t536) @t299))))) % 0.60/1.40 (assume @p271 (forall (@list @t140 @t119 @t15) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t15 @t119) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140) @t15)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t140) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t140)))))) % 0.60/1.40 (assume @p272 (forall @t549 (=> @t548 (= @t547 @t546)))) % 0.60/1.40 (assume @p273 (forall @t549 (=> @t548 (= @t546 @t547)))) % 0.60/1.40 (assume @p274 (forall @t549 (=> @t548 (= @t551 @t550)))) % 0.60/1.40 (assume @p275 (forall @t557 (=> @t556 (= (= @t554 @t272) (= @t553 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t552)))))) % 0.60/1.40 (assume @p276 (forall @t317 (=> @t559 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t526 @t14) @t65)))) % 0.60/1.40 (assume @p277 (forall (@list @t552 @t553 @t272) (=> (tptp.hBOOL (tptp.hAPP @t538 @t553)) (= (tptp.hBOOL (tptp.hAPP @t555 @t561)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t560) @t553)))))) % 0.60/1.40 (assume @p278 (forall @t549 (=> @t548 (= @t550 @t551)))) % 0.60/1.40 (assume @p279 (forall @t317 (=> @t559 @t562))) % 0.60/1.40 (assume @p280 (forall @t260 (=> @t532 @t563))) % 0.60/1.40 (assume @p281 (forall (@list @t65 @t14 @t263) (=> @t542 (tptp.hBOOL (tptp.hAPP @t531 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t259 @t263)))))) % 0.60/1.40 (assume @p282 (forall (@list @t552 @t272 @t553) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t561) @t552)) (tptp.hBOOL (tptp.hAPP @t564 @t560))))) % 0.60/1.40 (assume @p283 (forall @t257 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t51 @t50) @t7) @t544))) % 0.60/1.40 (assume @p284 (forall @t549 (=> @t548 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t545) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t307 @t300))))) % 0.60/1.40 (assume @p285 (forall @t571 (=> @t570 (= @t569 (tptp.hBOOL (tptp.hAPP @t513 @t566)))))) % 0.60/1.40 (assume @p286 (forall @t571 (=> @t570 (= @t569 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t572) @t197)))))) % 0.60/1.40 (assume @p287 (forall @t72 (=> @t25 (=> @t576 (=> @t575 (tptp.hBOOL (tptp.hAPP @t573 @t70))))))) % 0.60/1.40 (assume @p288 (forall @t582 (=> @t556 (= @t581 (= @t51 @t578))))) % 0.60/1.40 (assume @p289 (forall (@list @t14 @t65 @t434 @t300 @t100) (=> @t584 (= @t583 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t300 @t100)) @t434) @t14)))))) % 0.60/1.40 (assume @p290 (forall @t582 (=> @t556 (= @t585 (tptp.hBOOL (tptp.hAPP @t543 @t578)))))) % 0.60/1.40 (assume @p291 (forall @t588 (=> @t587 (= @t581 (= @t586 @t50))))) % 0.60/1.40 (assume @p292 (forall (@list @t14 @t65 @t434 @t100 @t300) (=> (tptp.hBOOL (tptp.hAPP @t589 @t100)) (= @t583 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t527) @t434) @t65) @t14))))) % 0.60/1.40 (assume @p293 (forall @t588 (=> @t587 (= @t585 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t586) @t50)))))) % 0.60/1.40 (assume @p294 (forall @t164 (=> @t43 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t521) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t523 @t522)))))) % 0.60/1.40 (assume @p295 (forall @t116 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t15 @t82) @t15)))) % 0.60/1.40 (assume @p296 (forall @t116 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t15 @t15) @t82)))) % 0.60/1.40 (assume @p297 (forall @t328 (=> @t512 (= @t201 @t591)))) % 0.60/1.40 (assume @p298 (forall @t328 (=> @t590 (= @t591 @t201)))) % 0.60/1.40 (assume @p299 (forall @t244 (=> @t510 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t506 @t505) @t592)))) % 0.60/1.40 (assume @p300 (forall @t202 (=> @t470 (=> @t511 (= @t348 (tptp.c_Orderings_Oord__class_Oless @t16 @t194 @t197)))))) % 0.60/1.40 (assume @p301 (forall @t501 (=> @t489 (= @t597 @t594)))) % 0.60/1.40 (assume @p302 (forall @t501 (=> @t489 (= @t594 @t597)))) % 0.60/1.40 (assume @p303 (forall @t598 (=> @t489 (= (tptp.hAPP @t593 (tptp.hAPP (tptp.hAPP @t20 @t487) @t208)) (tptp.hAPP (tptp.hAPP @t20 @t597) @t208))))) % 0.60/1.40 (assume @p304 (forall @t212 (=> @t49 (= (tptp.hAPP @t21 (tptp.c_Groups_Ominus__class_Ominus @t16 @t119 @t210)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t163 @t211))))) % 0.60/1.40 (assume @p305 (forall @t207 (=> @t49 (= (tptp.hAPP @t204 @t599) (tptp.c_Groups_Ominus__class_Ominus @t16 @t206 @t205))))) % 0.60/1.40 (assume @p306 (forall @t190 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t20 (tptp.c_Groups_Ominus__class_Ominus @t16 @t15 @t188)) @t119) (tptp.c_Groups_Ominus__class_Ominus @t16 @t163 @t189))))) % 0.60/1.40 (assume @p307 (forall @t187 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t20 @t599) @t183) (tptp.c_Groups_Ominus__class_Ominus @t16 @t186 @t185))))) % 0.60/1.40 (assume @p308 (forall @t501 (=> @t489 (= @t486 @t600)))) % 0.60/1.40 (assume @p309 (forall @t501 (=> @t489 (= @t600 @t486)))) % 0.60/1.40 (assume @p310 (forall @t598 (=> @t489 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t488 (tptp.c_Groups_Oplus__class_Oplus @t16 @t487 @t208)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t486 @t208))))) % 0.60/1.40 (assume @p311 (forall @t164 (=> @t590 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t520 @t119) @t15)))) % 0.60/1.40 (assume @p312 (forall @t164 (=> @t590 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t168 @t119) @t15)))) % 0.60/1.40 (assume @p313 (forall @t260 (=> @t563 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t65) @t7) @t315)))) % 0.60/1.40 (assume @p314 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t65) @t7))) % 0.60/1.40 (assume @p315 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t7) @t65))) % 0.60/1.40 (assume @p316 (forall @t238 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t14) @t7))) % 0.60/1.40 (assume @p317 (forall @t164 (=> @t43 (= @t521 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t601))))) % 0.60/1.40 (assume @p318 (forall @t351 (=> @t421 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t404) @t430)) @t469)))) % 0.60/1.40 (assume @p319 (forall @t356 (=> @t421 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t403) @t429)) @t469)))) % 0.60/1.40 (assume @p320 (forall @t171 (=> @t606 (=> @t605 @t603)))) % 0.60/1.40 (assume @p321 (forall @t171 (=> @t606 (=> @t605 @t607)))) % 0.60/1.40 (assume @p322 (forall @t169 (=> @t606 (=> @t605 (=> @t609 (tptp.hBOOL (tptp.hAPP @t602 @t165))))))) % 0.60/1.40 (assume @p323 (forall @t424 (=> @t421 (=> @t603 @t605)))) % 0.60/1.40 (assume @p324 (forall @t422 (=> @t421 (=> @t607 @t605)))) % 0.60/1.40 (assume @p325 (forall @t533 (=> @t66 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t304) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t529))))) % 0.60/1.40 (assume @p326 (forall (@list @t14 @t263 @t300) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t300 @t263) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t300 @t14) @t263)))) % 0.60/1.40 (assume @p327 (forall @t260 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t137 @t14) @t65))) % 0.60/1.40 (assume @p328 (forall @t317 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t259 @t14) @t65))) % 0.60/1.40 (assume @p329 (forall @t302 (= @t528 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t310)))) % 0.60/1.40 (assume @p330 (forall @t267 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t263 @t65) @t303) @t526))) % 0.60/1.40 (assume @p331 (forall @t611 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t610 @t268) @t526))) % 0.60/1.40 (assume @p332 (forall @t267 (= (tptp.hAPP @t264 @t526) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t266 @t265)))) % 0.60/1.40 (assume @p333 (forall @t269 (= (tptp.hAPP (tptp.hAPP @t104 @t526) @t263) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t271 @t270)))) % 0.60/1.40 (assume @p334 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t612 @t7)) @t83))) % 0.60/1.40 (assume @p335 (forall @t260 (=> (or @t66 @t315) @t532))) % 0.60/1.40 (assume @p336 (forall @t260 (=> @t532 (=> @t316 @t66)))) % 0.60/1.40 (assume @p337 (forall @t260 (=> @t66 @t532))) % 0.60/1.40 (assume @p338 (forall @t257 (= @t544 (or @t299 @t52)))) % 0.60/1.40 (assume @p339 (forall @t257 (= @t299 (and @t544 @t320)))) % 0.60/1.40 (assume @p340 (forall @t249 (= @t389 (and @t615 @t613)))) % 0.60/1.40 (assume @p341 (forall @t249 (= @t615 (or @t389 @t504)))) % 0.60/1.40 (assume @p342 (forall @t317 (tptp.hBOOL (tptp.hAPP @t558 @t137)))) % 0.60/1.40 (assume @p343 (forall @t317 (tptp.hBOOL (tptp.hAPP @t558 @t259)))) % 0.60/1.40 (assume @p344 (forall @t257 (= @t544 (exists @t617 (= @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t616)))))) % 0.60/1.40 (assume @p345 (forall @t275 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t274) @t273)) @t544))) % 0.60/1.40 (assume @p346 (forall @t312 (=> @t584 (tptp.hBOOL (tptp.hAPP @t534 @t313))))) % 0.60/1.40 (assume @p347 (forall @t312 (=> @t584 (tptp.hBOOL (tptp.hAPP @t534 @t311))))) % 0.60/1.40 (assume @p348 (forall @t302 (=> @t584 (tptp.hBOOL (tptp.hAPP @t618 @t310))))) % 0.60/1.40 (assume @p349 (forall @t309 (=> @t584 (=> @t619 (tptp.hBOOL (tptp.hAPP @t618 @t306)))))) % 0.60/1.40 (assume @p350 (forall @t611 (=> @t620 @t542))) % 0.60/1.40 (assume @p351 (forall @t611 (=> @t620 @t532))) % 0.60/1.40 (assume @p352 (forall @t611 (=> @t620 (not (=> @t532 (not @t542)))))) % 0.60/1.40 (assume @p353 (forall @t294 (tptp.hBOOL (tptp.hAPP @t531 @t621)))) % 0.60/1.40 (assume @p354 (forall @t294 (tptp.hBOOL (tptp.hAPP @t531 (tptp.hAPP @t111 @t621))))) % 0.60/1.40 (assume @p355 (forall @t302 (=> @t584 (tptp.hBOOL (tptp.hAPP @t622 @t336))))) % 0.60/1.40 (assume @p356 (forall @t302 (=> @t584 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t333) @t332))))) % 0.60/1.40 (assume @p357 (forall @t309 (=> @t584 (=> @t619 (tptp.hBOOL (tptp.hAPP @t622 (tptp.hAPP @t335 @t304))))))) % 0.60/1.40 (assume @p358 (forall @t262 (=> @t624 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t208 @t36)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t208 @t35)))))) % 0.60/1.40 (assume @p359 (forall @t72 (=> @t25 (=> @t576 (=> @t459 (=> (tptp.hBOOL (tptp.hAPP @t604 @t23)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t70) @t19)))))))) % 0.60/1.40 (assume @p360 (forall @t64 (=> @t25 (=> @t63 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t62) @t61)) @t625))))) % 0.60/1.40 (assume @p361 (forall @t68 (=> @t25 (=> @t24 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t67) @t19)) @t532))))) % 0.60/1.40 (assume @p362 (forall @t169 (=> @t43 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 @t628)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t16 @t627) (tptp.c_RealVector_Onorm__class_Onorm @t16 @t626))))))) % 0.60/1.40 (assume @p363 (forall @t456 (=> @t236 (= (tptp.hBOOL (tptp.hAPP @t458 @t455)) (or @t452 (and @t453 @t629)))))) % 0.60/1.40 (assume @p364 (forall @t582 (=> @t556 (= @t630 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t578))))) % 0.60/1.40 (assume @p365 (forall @t588 (=> @t587 (= @t630 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t586 @t50))))) % 0.60/1.40 (assume @p366 (forall @t328 (=> @t470 (= @t348 (tptp.c_Orderings_Oord__class_Oless @t16 @t467 @t82))))) % 0.60/1.40 (assume @p367 (forall @t456 (=> @t236 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t455) @t82)) (and @t633 (or (and @t453 @t632) (and @t452 @t89))))))) % 0.60/1.40 (assume @p368 (forall @t484 (=> @t634 (= (tptp.hAPP @t479 (tptp.c_Groups_Oplus__class_Oplus @t476 @t119 @t140)) (tptp.c_Groups_Oplus__class_Oplus @t476 @t481 @t480))))) % 0.60/1.40 (assume @p369 (forall @t496 (=> @t634 (= (tptp.hAPP (tptp.hAPP @t478 (tptp.c_Groups_Oplus__class_Oplus @t476 @t15 @t119)) @t477) (tptp.c_Groups_Oplus__class_Oplus @t476 @t495 @t494))))) % 0.60/1.40 (assume @p370 (forall @t571 (=> @t636 (= @t635 (= @t194 @t566))))) % 0.60/1.40 (assume @p371 (forall @t571 (=> @t636 (= @t635 (= @t572 @t197))))) % 0.60/1.40 (assume @p372 (forall @t641 (=> @t49 (= @t640 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t638 @t637) @t639) (tptp.hAPP @t21 @t637)))))) % 0.60/1.40 (assume @p373 (forall @t641 (=> @t636 (= @t640 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.hAPP @t46 @t637) @t639))))) % 0.60/1.40 (assume @p374 (forall @t164 (=> @t647 (=> (or (and @t459 @t646) (and @t644 @t643)) @t642)))) % 0.60/1.40 (assume @p375 (forall @t164 (=> @t570 (=> (or (and @t459 @t643) (and @t644 @t646)) @t648)))) % 0.60/1.40 (assume @p376 (forall @t169 (=> @t653 (=> @t605 (=> @t609 (=> @t643 @t652)))))) % 0.60/1.40 (assume @p377 (forall @t169 (=> @t653 (=> @t605 (=> @t609 (=> @t459 @t652)))))) % 0.60/1.40 (assume @p378 (forall @t375 (=> @t570 (=> @t656 (=> @t655 @t654))))) % 0.60/1.40 (assume @p379 (forall @t375 (=> @t570 (=> @t656 (=> @t655 @t657))))) % 0.60/1.40 (assume @p380 (forall @t171 (=> (tptp.class_Rings_Oordered__comm__semiring @t16) @t658))) % 0.60/1.40 (assume @p381 (forall @t171 (=> @t653 @t658))) % 0.60/1.40 (assume @p382 (forall @t171 (=> @t653 (=> @t605 (=> @t651 @t657))))) % 0.60/1.40 (assume @p383 (forall @t164 (=> @t570 (=> @t644 (=> @t646 @t648))))) % 0.60/1.40 (assume @p384 (forall @t164 (=> @t647 (=> @t644 (=> @t643 @t642))))) % 0.60/1.40 (assume @p385 (forall @t164 (=> @t647 (=> @t459 (=> @t646 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t162) @t82))))))) % 0.60/1.40 (assume @p386 (forall @t164 (=> @t647 (=> @t459 (=> @t646 @t642))))) % 0.60/1.40 (assume @p387 (forall @t164 (=> @t647 (=> @t459 (=> @t643 @t648))))) % 0.60/1.40 (assume @p388 (forall @t328 (=> @t243 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t327) @t82)) (or (and @t663 @t662) (and @t660 @t659)))))) % 0.60/1.40 (assume @p389 (forall @t328 (=> @t243 (= (tptp.hBOOL (tptp.hAPP @t458 @t327)) (or (and @t663 @t659) (and @t660 @t662)))))) % 0.60/1.40 (assume @p390 (forall @t116 (=> @t247 (tptp.hBOOL (tptp.hAPP @t458 @t345))))) % 0.60/1.40 (assume @p391 (forall @t164 (=> @t441 (=> @t644 (=> @t646 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t168) @t82))))))) % 0.60/1.40 (assume @p392 (forall (@list @t15 @t119 @t140 @t16) (=> @t441 (=> @t651 (=> @t656 @t664))))) % 0.60/1.40 (assume @p393 (forall @t171 (=> @t441 (=> @t459 (=> @t665 @t664))))) % 0.60/1.40 (assume @p394 (forall @t244 (=> @t441 (=> @t629 (=> (tptp.hBOOL (tptp.hAPP @t458 @t56)) (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t57 @t56) @t82) @t379)))))) % 0.60/1.40 (assume @p395 (forall @t164 (=> @t441 (=> @t459 (=> @t643 (tptp.hBOOL (tptp.hAPP @t458 @t168))))))) % 0.60/1.40 (assume @p396 (forall @t397 (=> @t396 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t395) @t82)) @t660)))) % 0.60/1.40 (assume @p397 (forall @t397 (=> @t396 (= (tptp.hBOOL (tptp.hAPP @t458 @t395)) @t663)))) % 0.60/1.40 (assume @p398 (forall @t169 (=> @t428 (=> @t367 (=> @t609 @t425))))) % 0.60/1.40 (assume @p399 (forall @t169 (=> @t428 (=> @t605 @t427)))) % 0.60/1.40 (assume @p400 (forall @t32 (=> @t25 (tptp.hBOOL (tptp.hAPP @t458 @t23))))) % 0.60/1.40 (assume @p401 (forall @t32 (=> @t25 (not (tptp.hBOOL (tptp.hAPP @t574 @t82)))))) % 0.60/1.40 (assume @p402 (forall @t219 (=> @t25 (=> @t605 (=> @t459 (tptp.hBOOL (tptp.hAPP @t573 @t216))))))) % 0.60/1.40 (assume @p403 (forall @t26 (=> @t25 (=> @t459 (tptp.hBOOL (tptp.hAPP @t458 @t19)))))) % 0.60/1.40 (assume @p404 (forall @t317 (=> @t144 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t65) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t526 @t65))))) % 0.60/1.40 (assume @p405 (forall @t666 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t51)) @t299))) % 0.60/1.40 (assume @p406 (forall @t317 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t259) @t7))) % 0.60/1.40 (assume @p407 (forall @t260 (=> (not @t66) @t562))) % 0.60/1.40 (assume @p408 (forall @t557 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t552 @t561) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t560 @t553)))) % 0.60/1.40 (assume @p409 (forall @t26 (=> @t25 (=> @t575 (tptp.hBOOL (tptp.hAPP @t574 @t19)))))) % 0.60/1.40 (assume @p410 (forall @t249 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t667) (or @t58 @t324 @t323)))) % 0.60/1.40 (assume @p411 (forall @t114 (=> @t43 (tptp.hBOOL (tptp.hAPP @t668 @t41))))) % 0.60/1.40 (assume @p412 (forall @t672 (=> @t236 (=> @t251 (=> @t671 @t669))))) % 0.60/1.40 (assume @p413 (forall @t571 (=> @t570 (= @t673 (tptp.c_Orderings_Oord__class_Oless @t16 @t194 @t566))))) % 0.60/1.40 (assume @p414 (forall @t571 (=> @t570 (= @t673 (tptp.c_Orderings_Oord__class_Oless @t16 @t572 @t197))))) % 0.60/1.40 (assume @p415 (forall @t114 (=> @t674 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t245 @t23) (tptp.hAPP (tptp.hAPP @t20 (tptp.c_Groups_Oplus__class_Oplus @t16 @t36 @t23)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t36 @t23)))))) % 0.60/1.40 (assume @p416 (forall @t356 (=> @t243 (=> @t349 (= @t675 @t469))))) % 0.60/1.40 (assume @p417 (forall @t356 (=> @t243 (=> @t347 (= @t675 (tptp.hBOOL (tptp.hAPP @t661 @t53))))))) % 0.60/1.40 (assume @p418 (forall @t169 (=> @t359 (=> @t367 (=> @t426 (=> @t358 @t677)))))) % 0.60/1.40 (assume @p419 (forall @t169 (=> @t359 (=> @t367 (=> @t426 (=> @t459 @t677)))))) % 0.60/1.40 (assume @p420 (forall @t169 (=> @t359 (=> @t367 (=> @t609 (=> @t459 (=> @t366 @t676))))))) % 0.60/1.40 (assume @p421 (forall @t169 (=> @t359 (=> @t605 (=> @t426 (=> @t142 @t677)))))) % 0.60/1.40 (assume @p422 (forall @t424 (=> @t680 @t679))) % 0.60/1.40 (assume @p423 (forall @t424 (=> @t359 @t679))) % 0.60/1.40 (assume @p424 (forall @t422 (=> @t680 @t681))) % 0.60/1.40 (assume @p425 (forall @t422 (=> @t359 @t681))) % 0.60/1.40 (assume @p426 (forall @t424 (=> @t359 (=> @t657 @t682)))) % 0.60/1.40 (assume @p427 (forall @t422 (=> @t359 (=> @t654 @t682)))) % 0.60/1.40 (assume @p428 (forall @t164 (=> @t441 (=> @t142 (=> @t643 @t442))))) % 0.60/1.40 (assume @p429 (forall @t164 (=> @t441 (=> @t459 @t443)))) % 0.60/1.40 (assume @p430 (forall @t171 (=> @t441 (=> @t142 (=> @t665 @t376))))) % 0.60/1.40 (assume @p431 (forall @t171 (=> @t441 (=> @t459 @t378)))) % 0.60/1.40 (assume @p432 (forall @t164 (=> @t441 (=> @t364 (=> @t646 @t439))))) % 0.60/1.40 (assume @p433 (forall @t164 (=> @t441 (=> @t644 @t440)))) % 0.60/1.40 (assume @p434 (forall @t223 (=> @t247 (tptp.hBOOL (tptp.hAPP @t458 @t246))))) % 0.60/1.40 (assume @p435 (forall @t244 (=> @t243 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t242) @t82)) @t379)))) % 0.60/1.40 (assume @p436 (forall @t223 (=> @t236 (=> @t686 (=> @t685 (=> @t684 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t47) @t36)))))))) % 0.60/1.40 (assume @p437 (forall @t223 (=> @t236 (=> @t686 (=> @t685 (=> @t684 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t687) @t36)))))))) % 0.60/1.40 (assume @p438 (forall (@list @t178 @t53 @t16) (=> @t98 (= (= (tptp.hAPP @t54 @t451) @t82) (and @t93 @t633))))) % 0.60/1.40 (assume @p439 (forall @t688 (=> @t25 (=> @t457 (=> @t643 @t367))))) % 0.60/1.40 (assume @p440 (forall @t696 (= @t695 (and (=> @t694 @t693) (forall @t692 (=> @t691 @t690)))))) % 0.60/1.40 (assume @p441 (forall @t696 (= @t695 (not (or (and @t694 @t697) (exists @t692 (and @t691 (not @t690)))))))) % 0.60/1.40 (assume @p442 (forall (@list @t53 @t699 @t698 @t16) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t16 @t698 @t699) @t53) @t7) @t698))) % 0.60/1.40 (assume @p443 (forall @t91 (=> @t43 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90) @t81)) @t89)))) % 0.60/1.40 (assume @p444 (forall (@list @t57 @t50 @t16) (=> @t236 (=> @t233 (= @t700 @t629))))) % 0.60/1.40 (assume @p445 (forall @t461 (=> (and @t113 @t247) (=> @t250 (tptp.hBOOL (tptp.hAPP @t458 @t226)))))) % 0.60/1.40 (assume @p446 (forall @t99 (=> @t236 (= (tptp.hBOOL (tptp.hAPP @t458 @t55)) (or @t663 @t232))))) % 0.60/1.40 (assume @p447 (forall @t237 (=> @t236 (= @t700 (or @t232 (and @t233 @t629)))))) % 0.60/1.40 (assume @p448 (forall @t276 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t287) @t286)) @t701))) % 0.60/1.40 (assume @p449 (forall @t275 (= @t702 @t701))) % 0.60/1.40 (assume @p450 (forall @t275 (=> @t339 (= @t702 @t544)))) % 0.60/1.40 (assume @p451 (forall @t223 (=> @t49 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t48) @t221))))) % 0.60/1.40 (assume @p452 (forall @t393 (=> @t392 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t703 @t57)) (tptp.hAPP @t703 @t56))) @t615)))) % 0.60/1.40 (assume @p453 (forall @t393 (=> @t392 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t391) @t390)) @t615)))) % 0.60/1.40 (assume @p454 (forall @t223 (=> @t43 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t39)))))) % 0.60/1.40 (assume @p455 (forall @t228 (=> @t31 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t227) @t225))))) % 0.60/1.40 (assume @p456 (forall (@list @t178 @t57) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t86 @t451)) (or @t454 @t84)))) % 0.60/1.40 (assume @p457 (forall @t705 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t409)) (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 @t409 @t208)) @t704))))) % 0.60/1.40 (assume @p458 (forall @t710 (=> (tptp.class_Rings_Olinordered__semiring__1 @t16) (=> (tptp.hBOOL (tptp.hAPP @t670 @t15)) (=> (tptp.hBOOL (tptp.hAPP @t683 @t15)) (=> @t709 (=> @t708 (=> @t707 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t706) @t15)))))))))) % 0.60/1.40 (assume @p459 (forall @t714 (=> @t133 (and (=> @t713 (= @t712 @t23)) (=> (not @t713) (= @t712 @t82)))))) % 0.60/1.40 (assume @p460 (forall @t688 (=> @t25 (=> (= @t19 @t216) (=> @t459 (=> @t643 (=> @t144 @t141))))))) % 0.60/1.40 (assume @p461 (forall @t456 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t455 @t82) (and @t453 @t239))))) % 0.60/1.40 (assume @p462 (forall @t260 (and (=> @t283 (= @t112 @t7)) (=> @t716 (= @t112 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 (tptp.hAPP (tptp.hAPP @t104 @t715) @t14))))))) % 0.60/1.40 (assume @p463 (forall @t237 (=> @t236 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t235) @t82)) (and @t92 (or (and @t233 @t632) (and @t232 @t89))))))) % 0.60/1.40 (assume @p464 (forall @t344 (=> @t342 (= @t232 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t125))))))) % 0.60/1.40 (assume @p465 (forall (@list @t103 @t65) (and (=> @t283 (= @t718 @t125)) (=> @t716 (= @t718 (tptp.hAPP @t105 (tptp.hAPP @t717 @t715))))))) % 0.60/1.40 (assume @p466 (forall @t710 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t16) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t15) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t35 @t15) (=> @t709 (=> @t708 (=> @t707 (tptp.c_Orderings_Oord__class_Oless @t16 @t706 @t15))))))))) % 0.60/1.40 (assume @p467 (forall @t721 (=> @t97 (and (=> @t131 (= @t720 @t23)) (=> @t132 (= @t720 (tptp.hAPP @t252 (tptp.hAPP @t719 @t460)))))))) % 0.60/1.40 (assume @p468 (forall (@list @t35 @t36 @t140 @t16) (=> @t43 (=> @t723 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t41) (tptp.hAPP @t722 @t39))) (= @t36 @t82)))))) % 0.60/1.40 (assume @p469 (forall @t114 (=> @t724 (tptp.hBOOL (tptp.hAPP @t670 @t36))))) % 0.60/1.40 (assume @p470 (forall @t725 (=> @t512 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t166 @t165) (tptp.c_Groups_Oplus__class_Oplus @t16 @t520 (tptp.c_Groups_Ominus__class_Ominus @t16 @t140 @t138)))))) % 0.60/1.40 (assume @p471 (forall @t730 (=> @t729 (=> @t728 @t727)))) % 0.60/1.40 (assume @p472 (forall @t209 (=> @t724 (=> @t671 @t732)))) % 0.60/1.40 (assume @p473 (forall @t730 (=> @t729 (=> @t277 (=> @t734 @t726))))) % 0.60/1.40 (assume @p474 (forall @t737 (= (tptp.hBOOL (tptp.hAPP @t736 @t177)) @t735))) % 0.60/1.40 (assume @p475 (forall @t740 (= @t739 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t272 @t738) @t497)))) % 0.60/1.40 (assume @p476 (forall @t744 (= @t743 @t742))) % 0.60/1.40 (assume @p477 (forall @t744 (= (tptp.hBOOL (tptp.hAPP @t741 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t177 @t463))) @t745))) % 0.60/1.40 (assume @p478 (forall @t748 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t747 @t746) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t485)))) % 0.60/1.40 (assume @p479 (forall @t744 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t178 @t463)) @t177)) @t745))) % 0.60/1.40 (assume @p480 (forall @t437 (=> @t751 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t749)))) % 0.60/1.40 (assume @p481 (forall @t705 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t409 @t208) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t409 @t463)) @t208))))) % 0.60/1.40 (assume @p482 (forall @t302 (=> @t753 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 @t100)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 @t300)))))) % 0.60/1.40 (assume @p483 (forall (@list @t208 @t755 @t409 @t756) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t756 @t409) (=> @t757 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t756 @t755) @t754))))) % 0.60/1.40 (assume @p484 (forall @t759 (tptp.hBOOL (tptp.hAPP @t758 @t409)))) % 0.60/1.40 (assume @p485 (forall @t759 (tptp.hBOOL (tptp.hAPP @t760 @t409)))) % 0.60/1.40 (assume @p486 (forall @t410 (or @t763 @t761))) % 0.60/1.40 (assume @p487 (forall @t410 (or @t765 @t764))) % 0.60/1.40 (assume @p488 (forall @t740 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t769) @t768)) @t767))) % 0.60/1.40 (assume @p489 (forall @t302 (=> @t753 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t300) @t263)) (tptp.hBOOL (tptp.hAPP @t752 @t263)))))) % 0.60/1.40 (assume @p490 (forall @t302 (=> (tptp.hBOOL (tptp.hAPP @t770 @t300)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t300) @t263)) (tptp.hBOOL (tptp.hAPP @t770 @t263)))))) % 0.60/1.40 (assume @p491 (forall @t410 (=> @t763 (=> @t761 @t771)))) % 0.60/1.40 (assume @p492 (forall @t410 (=> @t765 (=> @t764 @t771)))) % 0.60/1.40 (assume @p493 (forall @t740 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t769 @t768) @t739))) % 0.60/1.40 (assume @p494 (forall @t772 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t177 @t178) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t177) @t178)) (not (= @t177 @t178)))))) % 0.60/1.40 (assume @p495 (forall @t238 (tptp.hBOOL (tptp.hAPP @t558 @t14)))) % 0.60/1.40 (assume @p496 (forall @t260 (or @t532 @t559))) % 0.60/1.40 (assume @p497 (forall @t260 (=> @t315 @t532))) % 0.60/1.40 (assume @p498 (forall @t302 (=> @t584 (=> (tptp.hBOOL (tptp.hAPP @t589 @t263)) (tptp.hBOOL (tptp.hAPP @t534 @t263)))))) % 0.60/1.40 (assume @p499 (forall @t260 (=> @t532 (=> @t559 @t315)))) % 0.60/1.40 (assume @p500 (forall @t319 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t36 @t35) @t280 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t36)))) % 0.60/1.40 (assume @p501 (forall @t302 (=> @t500 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t100 @t263) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t300 @t263))))) % 0.60/1.40 (assume @p502 (forall @t737 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t463 @t177) @t177) @t497) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t177 @t497)))) % 0.60/1.40 (assume @p503 (forall @t416 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t473 @t411) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t412 @t411))))) % 0.60/1.40 (assume @p504 (forall @t262 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t208)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t36 @t208))))) % 0.60/1.40 (assume @p505 (forall @t744 (= @t743 (or @t745 (= @t178 @t177))))) % 0.60/1.40 (assume @p506 (forall @t410 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t208 @t409) @t754))) % 0.60/1.40 (assume @p507 (forall @t437 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t208 @t497) @t208))) % 0.60/1.40 (assume @p508 (forall @t437 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t497 @t208) @t208))) % 0.60/1.40 (assume @p509 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t463)) % 0.60/1.40 (assume @p510 (forall @t437 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t749 @t208) @t497)))) % 0.60/1.40 (assume @p511 (not (= @t497 @t463))) % 0.60/1.40 (assume @p512 (forall @t249 (= @t615 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t57 @t56)) @t81))))) % 0.60/1.40 (assume @p513 (forall @t438 (= (tptp.hAPP (tptp.hAPP @t408 @t773) @t409) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t493 @t492)))) % 0.60/1.40 (assume @p514 (forall @t474 (= (tptp.hAPP @t465 @t773) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t472 @t471)))) % 0.60/1.40 (assume @p515 (forall @t748 (= (tptp.hAPP (tptp.hAPP @t408 @t747) @t746) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t596)))) % 0.60/1.40 (assume @p516 (forall @t164 (=> @t43 (tptp.hBOOL (tptp.hAPP @t525 (tptp.c_RealVector_Onorm__class_Onorm @t16 @t168)))))) % 0.60/1.40 (assume @p517 (forall @t777 (=> @t776 (= @t775 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t476 @t5) @t4))))))) % 0.60/1.40 (assume @p518 (forall @t223 (=> @t516 (or @t671 @t728)))) % 0.60/1.40 (assume @p519 (forall @t244 (=> @t729 (= @t504 (and @t779 @t778))))) % 0.60/1.40 (assume @p520 (forall @t223 (=> @t724 (=> @t280 @t671)))) % 0.60/1.40 (assume @p521 (forall (@list @t57 @t1 @t2 @t16 @t476) (=> @t776 (=> @t775 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t476 (tptp.hAPP @t2 @t57)) (tptp.hAPP @t1 @t57))))))) % 0.60/1.40 (assume @p522 (forall @t781 (=> @t729 (=> @t778 @t780)))) % 0.60/1.40 (assume @p523 (forall @t171 (=> @t783 (=> @t141 (=> @t665 @t782))))) % 0.60/1.40 (assume @p524 (forall @t171 (=> @t729 (=> @t141 (=> (tptp.hBOOL (tptp.hAPP @t608 @t119)) @t784))))) % 0.60/1.40 (assume @p525 (forall @t171 (=> @t783 (=> @t605 (=> @t399 @t782))))) % 0.60/1.40 (assume @p526 (forall @t375 (=> @t729 (=> @t656 (=> @t399 @t784))))) % 0.60/1.40 (assume @p527 (forall @t223 (=> @t729 (=> @t671 (=> @t728 @t280))))) % 0.60/1.40 (assume @p528 (forall @t209 (=> @t724 (=> @t671 (=> @t785 (tptp.hBOOL (tptp.hAPP @t670 @t208))))))) % 0.60/1.40 (assume @p529 (forall @t786 (=> @t729 (=> @t728 (=> @t671 @t280))))) % 0.60/1.40 (assume @p530 (forall @t730 (=> @t729 (=> @t728 (=> @t734 (tptp.hBOOL (tptp.hAPP @t733 @t36))))))) % 0.60/1.40 (assume @p531 (forall @t223 (=> @t516 (=> (not @t671) @t728)))) % 0.60/1.40 (assume @p532 (forall @t223 (=> @t516 (=> @t279 (=> @t281 @t277))))) % 0.60/1.40 (assume @p533 (forall @t223 (=> @t724 (=> @t278 (not @t277))))) % 0.60/1.40 (assume @p534 (forall @t730 (=> @t729 (=> @t277 @t727)))) % 0.60/1.40 (assume @p535 (forall @t209 (=> @t724 (=> @t278 @t732)))) % 0.60/1.40 (assume @p536 (forall @t375 (=> @t729 (=> @t374 (=> @t399 @t787))))) % 0.60/1.40 (assume @p537 (forall @t171 (=> @t783 (=> @t367 (=> @t399 @t788))))) % 0.60/1.40 (assume @p538 (forall @t171 (=> @t729 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t140 @t119) @t787))))) % 0.60/1.40 (assume @p539 (forall @t171 (=> @t783 (=> @t141 (=> @t377 @t788))))) % 0.60/1.40 (assume @p540 (forall @t363 (=> @t729 (=> @t374 (not @t367))))) % 0.60/1.40 (assume @p541 (forall @t164 (=> @t724 (=> @t367 (not @t374))))) % 0.60/1.40 (assume @p542 (forall @t223 (=> @t729 (=> @t278 (not (= @t35 @t36)))))) % 0.60/1.40 (assume @p543 (forall @t223 (=> @t729 (=> @t278 @t281)))) % 0.60/1.40 (assume @p544 (forall @t223 (=> @t516 @t282))) % 0.60/1.40 (assume @p545 (forall @t781 (=> @t516 (=> (not @t792) @t791)))) % 0.60/1.40 (assume @p546 (forall @t223 (=> @t516 (or @t278 @t280 @t277)))) % 0.60/1.40 (assume @p547 (forall @t244 (=> @t516 (= @t790 (or @t792 @t504))))) % 0.60/1.40 (assume @p548 (forall @t244 (=> @t516 (= @t613 (or @t789 @t792))))) % 0.60/1.40 (assume @p549 (forall @t114 (=> @t724 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t36 @t36))))) % 0.60/1.40 (assume @p550 (forall @t740 (= (tptp.hBOOL (tptp.hAPP @t538 @t738)) (exists @t794 (= @t738 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t793)))))) % 0.60/1.40 (assume @p551 (forall @t244 (=> @t516 (= @t790 @t778)))) % 0.60/1.40 (assume @p552 (forall @t244 (=> @t516 (= (not @t779) @t792)))) % 0.60/1.40 (assume @p553 (forall @t223 (=> @t516 (or @t671 @t277)))) % 0.60/1.40 (assume @p554 (forall @t244 (=> @t729 (= @t789 (and @t779 @t613))))) % 0.60/1.40 (assume @p555 (forall @t244 (=> @t724 (= @t789 (and @t779 (not @t778)))))) % 0.60/1.40 (assume @p556 (forall @t244 (=> @t729 (= @t779 (or @t789 @t504))))) % 0.60/1.40 (assume @p557 (forall @t223 (=> @t516 (=> @t279 @t728)))) % 0.60/1.40 (assume @p558 (forall @t786 (=> @t516 (=> (not @t728) @t278)))) % 0.60/1.40 (assume @p559 (forall @t244 (=> @t516 (=> @t790 @t780)))) % 0.60/1.40 (assume @p560 (forall @t164 (=> @t729 (=> @t795 (=> @t605 @t367))))) % 0.60/1.40 (assume @p561 (forall @t164 (=> @t729 (=> @t795 (=> @t656 @t374))))) % 0.60/1.40 (assume @p562 (forall @t786 (=> @t516 (=> @t728 @t279)))) % 0.60/1.40 (assume @p563 (forall @t223 (=> @t724 (=> @t278 @t671)))) % 0.60/1.40 (assume @p564 (forall @t244 (=> @t516 (=> @t779 @t791)))) % 0.60/1.40 (assume @p565 (forall @t223 (=> @t729 (=> @t671 (or @t278 @t280))))) % 0.60/1.40 (assume @p566 (forall @t164 (=> @t729 (=> @t605 (=> @t795 @t367))))) % 0.60/1.40 (assume @p567 (forall @t363 (=> @t729 (=> @t656 (=> @t795 @t374))))) % 0.60/1.40 (assume @p568 (forall @t209 (=> @t724 (=> @t278 (=> @t785 @t731))))) % 0.60/1.40 (assume @p569 (forall @t800 (=> @t799 (=> @t798 (=> @t797 (tptp.hBOOL (tptp.hAPP @t796 @t463))))))) % 0.60/1.40 (assume @p570 (forall @t800 (=> @t799 (=> @t798 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t34 @t15) (tptp.hBOOL (tptp.hAPP @t736 @t102))))))) % 0.60/1.40 (assume @p571 (forall @t807 (=> @t806 (=> @t804 (=> @t802 (tptp.hBOOL (tptp.hAPP @t750 @t801))))))) % 0.60/1.40 (assume @p572 (forall @t807 (=> @t810 (=> @t809 (=> @t802 (tptp.hBOOL (tptp.hAPP @t808 @t497))))))) % 0.60/1.40 (assume @p573 (forall @t811 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t263) @t263))) % 0.60/1.40 (assume @p574 (forall @t777 (=> @t776 (= (tptp.c_Orderings_Oord__class_Oless @t774 @t2 @t1) (and @t775 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t774 @t1) @t2)))))))) % 0.60/1.40 (assume @p575 (forall @t818 (=> @t817 (=> @t810 (=> @t814 (=> @t809 (=> @t802 (=> @t813 @t812)))))))) % 0.60/1.40 (assume @p576 (forall @t821 (=> @t820 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t34) @t497)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t34) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t803) @t819)))))) % 0.60/1.40 (assume @p577 (forall @t818 (=> @t817 (=> @t806 (=> @t804 (=> @t797 (=> @t802 (=> @t813 @t819)))))))) % 0.60/1.40 (assume @p578 (forall @t821 (=> @t820 (=> @t809 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t803 @t119) (=> @t814 @t812)))))) % 0.60/1.40 (assume @p579 (forall (@list @t15 @t119) (tptp.hBOOL (tptp.hAPP (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 @t119 @t15)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t119))) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15))))) % 0.60/1.40 (assume @p580 (forall @t824 (=> @t823 (tptp.hBOOL (tptp.hAPP @t750 @t822))))) % 0.60/1.40 (assume @p581 (forall @t319 (=> @t823 (=> @t826 (tptp.hBOOL (tptp.hAPP @t750 @t825)))))) % 0.60/1.40 (assume @p582 (tptp.hBOOL (tptp.hAPP @t750 @t497))) % 0.60/1.40 (assume @p583 (tptp.hBOOL (tptp.hAPP @t750 @t463))) % 0.60/1.40 (assume @p584 (forall @t319 (=> @t823 (=> @t826 (tptp.hBOOL (tptp.hAPP @t750 @t827)))))) % 0.60/1.40 (assume @p585 (forall @t437 (=> (= @t704 @t9) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t208 @t13)) @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t208 @t13)) @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t208 tptp.c_Complex_Oii)) @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t208 tptp.c_Complex_Oii)) @t9))))) % 0.60/1.40 (assume @p586 (forall @t118 (=> @t49 (exists @t832 (and @t831 @t830))))) % 0.60/1.40 (assume @p587 (forall @t114 (=> @t49 (exists @t832 (and @t831 @t833))))) % 0.60/1.40 (assume @p588 (forall @t759 (not (= tptp.c_Complex_Oii (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t409))))) % 0.60/1.40 (assume @p589 (not (= tptp.c_Complex_Oii @t13))) % 0.60/1.40 (assume @p590 (not (= tptp.c_Complex_Oii @t8))) % 0.60/1.40 (assume @p591 (forall @t32 (=> @t49 (exists @t832 (and @t831 @t836))))) % 0.60/1.40 (assume @p592 (forall @t840 (and @t839 (=> (not @t838) (= @t837 @t497))))) % 0.60/1.40 (assume @p593 (forall (@list @t50 @t295) (=> @t697 (=> (tptp.hBOOL @t296) (exists @t617 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t616 @t50) (forall @t843 (=> (tptp.hBOOL (tptp.hAPP @t842 @t616)) (not (tptp.hBOOL (tptp.hAPP @t295 @t841))))) (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t616 @t125))))))))) % 0.60/1.40 (assume @p594 (forall @t319 (=> @t823 (=> @t826 (tptp.hBOOL (tptp.hAPP @t750 @t837)))))) % 0.60/1.40 (assume @p595 (forall @t840 @t839)) % 0.60/1.40 (assume @p596 (forall @t118 (=> @t49 (exists @t832 (and @t844 @t830))))) % 0.60/1.40 (assume @p597 (forall @t114 (=> @t49 (exists @t832 (and @t844 @t833))))) % 0.60/1.40 (assume @p598 (forall @t32 (=> @t49 (exists @t832 (and @t844 @t836))))) % 0.60/1.40 (assume @p599 (= (tptp.c_Complex_Oexpi @t8) @t13)) % 0.60/1.40 (assume @p600 (forall @t848 (=> @t847 (= (tptp.c_RComplete_Onatceiling @t846) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t845 @t125))))) % 0.60/1.40 (assume @p601 (forall @t855 (=> @t489 (and (=> @t853 @t854) (=> (not @t853) @t852))))) % 0.60/1.40 (assume @p602 (= (tptp.c_RComplete_Onatceiling @t81) @t7)) % 0.60/1.40 (assume @p603 (forall @t848 (tptp.hBOOL (tptp.hAPP @t462 @t845)))) % 0.60/1.40 (assume @p604 (forall @t319 (=> @t624 (tptp.hBOOL (tptp.hAPP @t856 (tptp.c_RComplete_Onatceiling @t35)))))) % 0.60/1.40 (assume @p605 (forall @t859 (=> (tptp.class_Nat_Osemiring__char__0 @t16) (= (= @t858 @t857) @t52)))) % 0.60/1.40 (assume @p606 (forall @t134 (=> @t31 (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t861) (tptp.hAPP @t860 @t14))))) % 0.60/1.40 (assume @p607 (= (tptp.c_RComplete_Onatceiling @t9) @t125)) % 0.60/1.40 (assume @p608 (forall @t238 (= (tptp.c_RComplete_Onatceiling @t863) @t862))) % 0.60/1.40 (assume @p609 (forall @t76 (=> @t25 (tptp.hBOOL (tptp.hAPP @t458 @t864))))) % 0.60/1.40 (assume @p610 (forall @t134 (=> @t25 (tptp.hBOOL (tptp.hAPP @t458 @t861))))) % 0.60/1.40 (assume @p611 (forall @t76 (=> @t25 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t864 @t82))))) % 0.60/1.40 (assume @p612 (forall @t32 (=> @t865 (= (tptp.hAPP @t850 @t7) @t82)))) % 0.60/1.40 (assume @p613 (forall @t253 (=> @t25 (=> @t866 @t66)))) % 0.60/1.40 (assume @p614 (forall @t253 (=> @t25 (=> @t66 @t866)))) % 0.60/1.40 (assume @p615 (forall @t859 (=> @t25 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t858 @t857) @t299)))) % 0.60/1.40 (assume @p616 (forall @t859 (=> @t25 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t858) @t857)) @t544)))) % 0.60/1.40 (assume @p617 (forall @t253 (=> @t865 (= (tptp.hAPP @t850 @t137) (tptp.c_Groups_Oplus__class_Oplus @t16 @t864 @t861))))) % 0.60/1.40 (assume @p618 (forall @t253 (=> @t865 (= (tptp.hAPP @t850 @t112) (tptp.hAPP (tptp.hAPP @t20 @t864) @t861))))) % 0.60/1.40 (assume @p619 (forall @t32 (=> @t865 (= (tptp.hAPP @t850 @t125) @t23)))) % 0.60/1.40 (assume @p620 (= @t497 @t868)) % 0.60/1.40 (assume @p621 (forall @t344 (= (= @t869 @t497) @t83))) % 0.60/1.40 (assume @p622 (= @t868 @t497)) % 0.60/1.40 (assume @p623 (forall @t873 (= (forall @t6 (=> @t872 @t871)) (forall @t6 @t870)))) % 0.60/1.40 (assume @p624 (forall @t873 (= (exists @t6 (and @t872 @t871)) (exists @t6 @t870)))) % 0.60/1.40 (assume @p625 (forall @t437 (tptp.hBOOL (tptp.hAPP @t750 (tptp.hAPP @t867 @t208))))) % 0.60/1.40 (assume @p626 (forall @t238 (tptp.hBOOL (tptp.hAPP @t750 @t874)))) % 0.60/1.40 (assume @p627 (forall @t811 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t875 @t497)))) % 0.60/1.40 (assume @p628 (forall @t249 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t877 @t876) @t58))) % 0.60/1.40 (assume @p629 (forall @t257 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t878 @t869) @t299))) % 0.60/1.40 (assume @p630 (forall @t249 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t877) @t876)) @t625))) % 0.60/1.40 (assume @p631 (forall @t257 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t878) @t869)) @t544))) % 0.60/1.40 (assume @p632 (forall @t744 (= @t742 (exists @t794 (= @t177 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t178 @t879)))))) % 0.60/1.40 (assume @p633 (forall @t319 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t881 @t880) (tptp.hAPP @t867 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t36 @t35))))) % 0.60/1.40 (assume @p634 (forall (@list @t208 @t14 @t65) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t883 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t874 @t208)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t882 @t208)))) % 0.60/1.40 (assume @p635 (forall @t260 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t883 @t874) @t882))) % 0.60/1.40 (assume @p636 (forall @t319 (= (tptp.hAPP (tptp.hAPP @t408 @t881) @t880) (tptp.hAPP @t867 (tptp.hAPP (tptp.hAPP @t104 @t36) @t35))))) % 0.60/1.40 (assume @p637 (forall @t260 (= @t885 @t884))) % 0.60/1.40 (assume @p638 (forall @t260 (= @t884 @t885))) % 0.60/1.40 (assume @p639 (= @t463 @t886)) % 0.60/1.40 (assume @p640 (= @t886 @t463)) % 0.60/1.40 (assume @p641 (forall @t253 (=> @t865 (= (tptp.hAPP @t850 @t887) (tptp.hAPP (tptp.hAPP @t17 @t864) @t14))))) % 0.60/1.40 (assume @p642 (forall @t824 (= (tptp.hAPP (tptp.hAPP @t405 @t881) @t14) (tptp.hAPP @t867 (tptp.hAPP (tptp.hAPP @t85 @t36) @t14))))) % 0.60/1.40 (assume @p643 (forall @t260 (= @t889 @t888))) % 0.60/1.40 (assume @p644 (forall @t260 (= @t888 @t889))) % 0.60/1.40 (assume @p645 (forall @t319 (= (tptp.c_Nat__Transfer_Otsub @t881 @t880) (tptp.hAPP @t867 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t36 @t35))))) % 0.60/1.40 (assume @p646 (forall @t848 (=> @t890 (= @t845 @t7)))) % 0.60/1.40 (assume @p647 (forall @t721 (=> @t674 (=> @t559 (= (tptp.hAPP @t850 @t526) (tptp.c_Groups_Ominus__class_Ominus @t16 @t864 @t861)))))) % 0.60/1.40 (assume @p648 (forall @t344 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t869) @t497)) @t83))) % 0.60/1.40 (assume @p649 (forall @t317 (=> @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t883 @t874) (tptp.hAPP @t867 @t526))))) % 0.60/1.40 (assume @p650 (forall @t394 (= (tptp.hBOOL (tptp.hAPP @t891 @t125)) (tptp.hBOOL (tptp.hAPP @t614 @t9))))) % 0.60/1.40 (assume @p651 (forall (@list @t50 @t16) (=> @t25 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t857) @t342)))) % 0.60/1.40 (assume @p652 (forall @t344 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t869) @t342))) % 0.60/1.40 (assume @p653 (forall @t302 (=> @t500 (=> @t334 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t892 @t100) (tptp.hAPP @t892 @t300)))))) % 0.60/1.40 (assume @p654 (forall @t893 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t15 @t119)) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Complex_Oexpi @t15)) (tptp.c_Complex_Oexpi @t119))))) % 0.60/1.40 (assume @p655 (forall (@list @t56 @t57 @t295) (= (tptp.hBOOL (tptp.hAPP @t295 (tptp.hAPP @t867 @t667))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56) @t57)) (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t877 @t876)))) (=> @t58 (tptp.hBOOL (tptp.hAPP @t295 @t497))))))) % 0.60/1.40 (assume @p656 (forall @t897 (=> @t896 (=> @t847 (= (tptp.c_RComplete_Onatceiling @t894) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t845 @t862)))))) % 0.60/1.40 (assume @p657 (forall @t848 (=> @t847 (= (tptp.c_RComplete_Onatfloor @t846) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t898 @t125))))) % 0.60/1.40 (assume @p658 (forall @t238 (not (tptp.c_Nat__Numeral_Oneg @t874)))) % 0.60/1.40 (assume @p659 (forall @t257 (= (= @t878 @t869) @t52))) % 0.60/1.40 (assume @p660 (forall @t249 (= (= @t877 @t876) @t504))) % 0.60/1.40 (assume @p661 (forall @t238 (= (tptp.c_RComplete_Onatfloor @t863) @t862))) % 0.60/1.40 (assume @p662 (not (tptp.c_Nat__Numeral_Oneg @t463))) % 0.60/1.40 (assume @p663 (not (tptp.c_Nat__Numeral_Oneg @t497))) % 0.60/1.40 (assume @p664 (forall @t394 (= (not (tptp.c_Nat__Numeral_Oneg @t57)) @t899))) % 0.60/1.40 (assume @p665 (forall (@list @t900) (= (tptp.c_Nat__Numeral_Oneg @t900) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t900 @t497)))) % 0.60/1.40 (assume @p666 (= (tptp.c_RComplete_Onatfloor @t81) @t7)) % 0.60/1.40 (assume @p667 (forall @t848 (tptp.hBOOL (tptp.hAPP @t462 @t898)))) % 0.60/1.40 (assume @p668 (forall @t319 (=> @t624 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t898) (tptp.c_RComplete_Onatfloor @t35)))))) % 0.60/1.40 (assume @p669 (= (tptp.c_RComplete_Onatfloor @t9) @t125)) % 0.60/1.40 (assume @p670 (forall @t906 (=> @t905 (=> @t904 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t903) @t902)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t901) @t57))))))) % 0.60/1.40 (assume @p671 (forall @t897 (=> @t896 (=> @t847 (= (tptp.c_RComplete_Onatfloor @t894) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t898 @t862)))))) % 0.60/1.40 (assume @p672 (forall @t908 (=> @t907 (= @t849 @t7)))) % 0.60/1.40 (assume @p673 (forall @t908 (and (=> @t907 (= @t909 @t497)) (=> @t910 (= @t909 @t747))))) % 0.60/1.40 (assume @p674 (forall @t848 (=> @t890 (= @t898 @t7)))) % 0.60/1.40 (assume @p675 (forall @t918 (= (= @t917 @t916) (and (=> @t915 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t912) @t497))) (=> (not @t915) (and (=> @t913 (= @t914 @t497)) (=> (not @t913) (= @t514 @t911)))))))) % 0.60/1.40 (assume @p676 (forall @t925 (and (=> @t907 (= @t923 @t922)) (=> @t910 (and (=> @t924 (= @t923 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t849 @t263))) (=> (not @t924) (= @t923 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t920 @t263)))))))) % 0.60/1.40 (assume @p677 (forall @t394 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t125) @t902)) @t927))) % 0.60/1.40 (assume @p678 (forall @t855 (=> @t489 (and (=> @t907 @t852) (=> @t910 @t854))))) % 0.60/1.40 (assume @p679 (forall @t893 (=> (tptp.hBOOL (tptp.hAPP @t668 @t15)) (=> (tptp.hBOOL (tptp.hAPP @t668 @t119)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t104 @t928) (tptp.c_RComplete_Onatfloor @t119))) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t45 @t15) @t119)))))))) % 0.60/1.40 (assume @p680 (forall @t906 (=> @t905 (=> @t904 (= (tptp.hBOOL (tptp.hAPP @t891 @t903)) (tptp.hBOOL (tptp.hAPP @t614 @t901))))))) % 0.60/1.40 (assume @p681 (forall @t897 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t930 @t36) (=> (tptp.hBOOL (tptp.hAPP @t623 @t931)) (= @t845 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t125)))))) % 0.60/1.40 (assume @p682 (forall @t935 (=> @t934 (=> (forall @t6 (=> @t871 (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t197))))) (=> @t933 (forall @t6 (=> @t871 (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t932)))))))))) % 0.60/1.40 (assume @p683 (forall @t935 (=> @t934 (=> (forall @t6 (=> @t871 (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t197))))) (=> @t933 (forall @t6 (=> @t871 (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t932)))))))))) % 0.60/1.40 (assume @p684 (forall @t238 (tptp.hBOOL (tptp.hAPP @t668 @t930)))) % 0.60/1.40 (assume @p685 (forall @t238 (= (tptp.c_RComplete_Onatfloor @t930) @t14))) % 0.60/1.40 (assume @p686 (= @t929 @t860)) % 0.60/1.40 (assume @p687 (= (tptp.hAPP @t929 @t7) @t81)) % 0.60/1.40 (assume @p688 (forall @t344 (= (= @t936 @t81) @t83))) % 0.60/1.40 (assume @p689 (forall @t238 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t930 @t81)))) % 0.60/1.40 (assume @p690 (forall @t666 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t936 @t937) @t298))) % 0.60/1.40 (assume @p691 (forall @t666 (= (tptp.hBOOL (tptp.hAPP @t939 @t937)) @t938))) % 0.60/1.40 (assume @p692 (forall @t260 (= (tptp.hAPP @t929 @t112) (tptp.hAPP (tptp.hAPP @t45 @t940) @t930)))) % 0.60/1.40 (assume @p693 (forall @t666 (= (= @t936 @t937) (= @t50 @t51)))) % 0.60/1.40 (assume @p694 (forall @t238 (= (tptp.c_RComplete_Onatceiling @t930) @t14))) % 0.60/1.40 (assume @p695 (forall @t260 (= (tptp.hAPP @t929 @t137) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t940 @t930)))) % 0.60/1.40 (assume @p696 (= @t941 @t9)) % 0.60/1.40 (assume @p697 (forall @t260 (= @t943 @t942))) % 0.60/1.40 (assume @p698 (forall @t260 (= @t942 @t943))) % 0.60/1.40 (assume @p699 (forall @t848 (tptp.hBOOL (tptp.hAPP @t623 (tptp.hAPP @t929 @t845))))) % 0.60/1.40 (assume @p700 (forall @t344 (= (tptp.hBOOL (tptp.hAPP @t939 @t81)) @t83))) % 0.60/1.40 (assume @p701 (forall @t317 (=> @t559 (= (tptp.hAPP @t929 @t526) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t940 @t930))))) % 0.60/1.40 (assume @p702 (forall @t848 (=> @t847 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t944) @t36))))) % 0.60/1.40 (assume @p703 (forall @t946 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t945) @t15)) (tptp.hBOOL (tptp.hAPP @t517 @t928))))) % 0.60/1.40 (assume @p704 (forall @t946 (=> (tptp.hBOOL (tptp.hAPP @t623 @t947)) (tptp.hBOOL (tptp.hAPP @t856 @t15))))) % 0.60/1.40 (assume @p705 (forall @t824 (=> (= @t36 @t944) (= (tptp.c_RComplete_Onatfloor @t949) (tptp.hAPP (tptp.hAPP @t85 @t898) @t14))))) % 0.60/1.40 (assume @p706 (forall @t344 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t936) @t342))) % 0.60/1.40 (assume @p707 (forall @t666 (= @t298 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t936 @t9)) @t937))))) % 0.60/1.40 (assume @p708 (forall @t666 (= @t938 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t936 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t937 @t9))))) % 0.60/1.40 (assume @p709 (forall @t951 (=> @t904 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53) @t902)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t950) @t57)))))) % 0.60/1.40 (assume @p710 (forall @t951 (=> @t904 (= (tptp.hBOOL (tptp.hAPP @t891 @t53)) (tptp.hBOOL (tptp.hAPP @t614 @t950)))))) % 0.60/1.40 (assume @p711 (forall @t848 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t944 @t9)))) % 0.60/1.40 (assume @p712 (forall @t954 (=> @t953 (= (tptp.c_RComplete_Onatfloor @t952) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t898 @t15))))) % 0.60/1.40 (assume @p713 (forall @t848 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t36 @t9) @t944))) % 0.60/1.40 (assume @p714 (forall @t954 (=> @t953 (= (tptp.c_RComplete_Onatceiling @t952) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t845 @t15))))) % 0.60/1.40 (assume @p715 (forall @t824 (=> @t847 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 @t930) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t898 @t14))))) % 0.60/1.40 (assume @p716 (forall @t908 (and (=> @t907 (= @t955 @t81)) (=> @t910 (= @t955 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t475)))))) % 0.60/1.40 (assume @p717 (forall @t946 (=> @t847 (= (tptp.c_RComplete_Onatfloor @t956) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t898 @t15))))) % 0.60/1.40 (assume @p718 (forall @t957 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t208) @t125)) @t14)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t930)))) % 0.60/1.40 (assume @p719 (forall @t897 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t930) @t36)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 @t931) (= @t898 @t14))))) % 0.60/1.40 (assume @p720 (forall @t946 (=> @t847 (= (tptp.c_RComplete_Onatceiling @t956) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t845 @t15))))) % 0.60/1.40 (assume @p721 (forall @t824 (=> @t847 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t958 @t36) @t9)) (tptp.hAPP (tptp.hAPP @t224 @t846) @t14)))))) % 0.60/1.40 (assume @p722 (forall @t959 (=> (tptp.hBOOL (tptp.hAPP @t668 @t34)) (exists @t794 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t929 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t793 @t125))) @t34)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t34 (tptp.hAPP @t929 @t793))))))) % 0.60/1.40 (assume @p723 (forall (@list @t14 @t15 @t34) (= (tptp.hAPP (tptp.hAPP @t10 @t960) @t14) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t224 @t34) @t14) (tptp.hAPP @t958 @t15))))) % 0.60/1.40 (assume @p724 (forall (@list @t15) (= (tptp.c_Complex_Orcis @t81 @t15) @t8))) % 0.60/1.40 (assume @p725 (forall (@list @t119 @t961 @t15 @t962) (= (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Complex_Orcis @t962 @t15)) (tptp.c_Complex_Orcis @t961 @t119)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t45 @t962) @t961) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t119))))) % 0.60/1.40 (assume @p726 (forall (@list @t964 @t963 @t16 @t476) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t476) @t783) (=> (forall @t794 (=> @t967 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t476 (tptp.c_Groups_Ominus__class_Ominus @t476 @t965 @t966)) @t9))) (forall @t794 (=> @t967 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t476 @t966) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t9 (tptp.c_RealVector_Onorm__class_Onorm @t476 @t965))))))))) % 0.60/1.40 (assume @p727 (forall @t971 (=> @t729 (= (tptp.c_SEQ_Odecseq @t16 @t964) (forall @t970 (=> @t969 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t966) @t968)))))))) % 0.60/1.40 (assume @p728 (forall @t811 (=> @t499 (exists @t794 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t793) (= @t263 @t879)))))) % 0.60/1.40 (assume @p729 (forall (@list @t14 @t475) (and (=> @t907 (= @t974 (tptp.hAPP @t975 @t14))) (=> @t910 (= @t974 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t972 @t14))))))) % 0.60/1.40 (assume @p730 (= @t125 (tptp.hAPP tptp.c_Int_Onat @t463))) % 0.60/1.40 (assume @p731 (forall @t437 (=> @t978 @t977))) % 0.60/1.40 (assume @p732 (forall @t759 (= (tptp.hAPP tptp.c_Int_Onat @t746) @t711))) % 0.60/1.40 (assume @p733 (forall @t908 (= @t849 (tptp.hAPP tptp.c_Int_Onat @t747)))) % 0.60/1.40 (assume @p734 (forall @t249 (=> @t899 (=> @t981 (= (= @t980 @t979) @t504))))) % 0.60/1.40 (assume @p735 (forall @t873 (= (forall @t985 @t984) (forall @t6 (=> @t872 @t982))))) % 0.60/1.40 (assume @p736 (forall @t873 (= (exists @t985 @t984) (exists @t6 (and @t872 @t982))))) % 0.60/1.40 (assume @p737 (forall (@list @t986 @t177) (=> @t988 (=> (tptp.hBOOL (tptp.hAPP @t750 @t986)) (= (= @t987 (tptp.hAPP tptp.c_Int_Onat @t986)) (= @t177 @t986)))))) % 0.60/1.40 (assume @p738 (= @t7 @t989)) % 0.60/1.40 (assume @p739 (= @t989 @t7)) % 0.60/1.40 (assume @p740 (forall @t238 (= (tptp.hAPP tptp.c_Int_Onat @t874) @t14))) % 0.60/1.40 (assume @p741 (forall @t437 (=> (not @t978) @t991))) % 0.60/1.40 (assume @p742 (forall (@list @t552) (= (= @t992 @t7) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t552) @t497))))) % 0.60/1.40 (assume @p743 (forall @t437 (=> (tptp.hBOOL (tptp.hAPP @t762 @t497)) @t977))) % 0.60/1.40 (assume @p744 (forall @t744 (= @t994 (and @t735 @t745)))) % 0.60/1.40 (assume @p745 (forall @t772 (=> @t735 @t995))) % 0.60/1.40 (assume @p746 (forall @t249 (=> @t899 (=> @t981 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t980) @t979)) @t508))))) % 0.60/1.40 (assume @p747 (forall @t437 @t996)) % 0.60/1.40 (assume @p748 (forall @t997 (= (= @t878 @t177) (and (= @t51 @t987) @t988)))) % 0.60/1.40 (assume @p749 (forall @t437 (and @t996 (=> (not @t751) (= @t990 @t497))))) % 0.60/1.40 (assume @p750 (forall @t997 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t987) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t878 @t177)))) % 0.60/1.40 (assume @p751 (forall @t737 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t987) @t735))) % 0.60/1.40 (assume @p752 (forall @t744 (=> @t998 @t995))) % 0.60/1.40 (assume @p753 (forall @t249 (=> @t899 (=> @t981 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t980 @t979) @t592))))) % 0.60/1.40 (assume @p754 (forall @t744 (=> (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 @t178) @t988) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t993) @t987)) @t742)))) % 0.60/1.40 (assume @p755 (forall @t1000 (= (= @t993 @t51) @t999))) % 0.60/1.40 (assume @p756 (forall (@list @t178 @t51) (= (= @t51 @t993) @t999))) % 0.60/1.40 (assume @p757 (forall (@list @t552 @t295) (= (tptp.hBOOL (tptp.hAPP @t295 @t992)) (and (forall @t794 (=> (= @t552 @t879) (tptp.hBOOL (tptp.hAPP @t295 @t793)))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t552 @t497) @t693))))) % 0.60/1.40 (assume @p758 (forall @t1003 (=> @t751 (=> @t1002 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t208 @t755)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t976 @t1001)))))) % 0.60/1.40 (assume @p759 (forall @t319 (=> @t823 (=> @t826 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1005 @t1004) (tptp.hAPP tptp.c_Int_Onat @t827)))))) % 0.60/1.40 (assume @p760 (forall @t1003 (=> @t751 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t464 @t755)) (tptp.hAPP (tptp.hAPP @t104 @t976) @t1001))))) % 0.60/1.40 (assume @p761 (forall @t319 (=> @t823 (=> @t826 (= (tptp.hAPP (tptp.hAPP @t104 @t1005) @t1004) (tptp.hAPP tptp.c_Int_Onat @t825)))))) % 0.60/1.40 (assume @p762 (forall (@list @t514 @t51) (= (= @t878 @t914) (and (= @t51 (tptp.hAPP tptp.c_Int_Onat @t914)) (tptp.hBOOL (tptp.hAPP @t750 @t914)))))) % 0.60/1.40 (assume @p763 (forall (@list @t208 @t755) (=> @t1002 (=> @t757 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t208 @t755)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t976 @t1001)))))) % 0.60/1.40 (assume @p764 (forall @t957 (=> @t751 (= (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t405 @t208) @t14)) (tptp.hAPP (tptp.hAPP @t85 @t976) @t14))))) % 0.60/1.40 (assume @p765 (forall @t824 (=> @t823 (= (tptp.hAPP (tptp.hAPP @t85 @t1005) @t14) (tptp.hAPP tptp.c_Int_Onat @t822))))) % 0.60/1.40 (assume @p766 (forall @t319 (=> @t823 (=> @t826 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1005 @t1004) (tptp.hAPP tptp.c_Int_Onat @t837)))))) % 0.60/1.40 (assume @p767 (forall @t1000 (=> @t998 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t993 @t51) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t178 @t878))))) % 0.60/1.40 (assume @p768 (forall @t748 (and (=> @t907 (= @t1006 (tptp.hAPP @t975 @t711))) (=> @t910 (= @t1006 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t972 @t711))))))) % 0.60/1.40 (assume @p769 (forall @t535 (= (tptp.c_Int_Onat__aux @t100 @t14) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t100) @t14)))) % 0.60/1.40 (assume @p770 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t750)) % 0.60/1.40 (assume @p771 (forall @t824 (=> @t388 (= (tptp.c_Transcendental_Oln @t949) (tptp.hAPP @t958 @t1007))))) % 0.60/1.40 (assume @p772 (forall (@list @t208 @t36 @t138) (=> @t1009 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t36 @t1008) @t208)))) % 0.60/1.40 (assume @p773 (forall @t249 (=> @t1013 (=> @t1012 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1011 @t1010) @t389))))) % 0.60/1.40 (assume @p774 (forall @t249 (=> @t1013 (=> @t1012 (= (= @t1011 @t1010) @t504))))) % 0.60/1.40 (assume @p775 (forall @t848 (=> @t388 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1007 @t36)))) % 0.60/1.40 (assume @p776 (= (tptp.c_Transcendental_Oln @t9) @t81)) % 0.60/1.40 (assume @p777 (forall @t260 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t408 @t65) @t14)) @t463) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t65) @t463)))) % 0.60/1.40 (assume @p778 (forall @t116 (=> @t1016 (=> @t459 @t1015)))) % 0.60/1.40 (assume @p779 (forall @t397 (=> @t1016 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1017) @t82)) @t93)))) % 0.60/1.40 (assume @p780 (forall @t116 (=> @t1016 (tptp.hBOOL (tptp.hAPP @t458 @t1014))))) % 0.60/1.40 (assume @p781 (forall @t397 (=> @t1016 (= (= @t1017 @t82) @t93)))) % 0.60/1.40 (assume @p782 (forall @t32 (=> @t1016 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t82) @t82)))) % 0.60/1.40 (assume @p783 (forall @t116 (=> @t236 (= (tptp.hAPP @t1018 @t1014) @t345)))) % 0.60/1.40 (assume @p784 (forall @t164 (=> @t236 @t1021))) % 0.60/1.40 (assume @p785 (forall @t164 (=> @t1016 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t1022) @t1022)))) % 0.60/1.40 (assume @p786 (forall @t32 (=> @t236 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t23) @t23)))) % 0.60/1.40 (assume @p787 (forall @t26 (=> @t236 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t19) @t1024)))) % 0.60/1.40 (assume @p788 (forall @t116 (=> @t1016 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t1014) @t1014)))) % 0.60/1.40 (assume @p789 (forall @t116 (=> @t1016 (tptp.hBOOL (tptp.hAPP @t604 @t1014))))) % 0.60/1.40 (assume @p790 (forall @t164 (=> @t1016 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1014) @t119)) @t605)))) % 0.60/1.40 (assume @p791 (forall @t164 (=> @t1016 (= @t1026 @t1025)))) % 0.60/1.40 (assume @p792 (forall @t461 (=> @t236 (=> @t250 (= (tptp.hAPP @t1028 @t14) @t226))))) % 0.60/1.40 (assume @p793 (forall @t164 (=> @t1016 (tptp.hBOOL (tptp.hAPP @t1030 @t1025))))) % 0.60/1.40 (assume @p794 (forall @t164 (=> @t1016 (tptp.hBOOL (tptp.hAPP @t1030 @t1026))))) % 0.60/1.40 (assume @p795 (forall @t164 (=> @t1016 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t1029)) @t1026))))) % 0.60/1.40 (assume @p796 (forall @t164 (=> @t1016 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t168)) @t1022))))) % 0.60/1.40 (assume @p797 (forall @t725 (=> @t236 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t1014 @t140) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t1019 @t138) (tptp.c_Orderings_Oord__class_Oless @t16 @t1020 (tptp.hAPP @t368 @t138))))))) % 0.60/1.40 (assume @p798 (forall @t116 (=> @t1016 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t1014 @t82))))) % 0.60/1.40 (assume @p799 (forall @t397 (=> @t1016 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t1017) @t1031)))) % 0.60/1.40 (assume @p800 (forall @t116 (=> @t1016 (=> @t142 @t1015)))) % 0.60/1.40 (assume @p801 (forall @t294 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t883) @t883))) % 0.60/1.40 (assume @p802 (forall @t134 (=> @t236 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t861) @t861)))) % 0.60/1.40 (assume @p803 (forall @t164 (=> (tptp.class_Rings_Oordered__ring__abs @t16) (=> (and (or @t459 @t644) (or @t643 @t646)) @t1021)))) % 0.60/1.40 (assume @p804 (forall @t223 (=> @t236 (=> @t686 (= (tptp.hAPP (tptp.hAPP @t20 @t1032) @t36) (tptp.c_Groups_Oabs__class_Oabs @t16 @t687)))))) % 0.60/1.40 (assume @p805 (forall @t26 (=> @t236 (tptp.hBOOL (tptp.hAPP @t458 @t1024))))) % 0.60/1.40 (assume @p806 (forall @t164 (=> @t1016 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1026) @t1022))))) % 0.60/1.40 (assume @p807 (forall @t169 (=> @t1016 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t628)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 @t627) (tptp.c_Groups_Oabs__class_Oabs @t16 @t626))))))) % 0.60/1.40 (assume @p808 (forall (@list @t1033 @t53 @t57 @t16) (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Oabs__class_Oabs @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t57 @t53)) @t1033) (and (tptp.c_Orderings_Oord__class_Oless @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t53 @t1033) @t57) (tptp.c_Orderings_Oord__class_Oless @t16 @t57 (tptp.c_Groups_Oplus__class_Oplus @t16 @t53 @t1033))))))) % 0.60/1.40 (assume @p809 (forall @t672 (=> @t236 (=> @t250 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1027) @t1032)) @t669))))) % 0.60/1.40 (assume @p810 (forall (@list @t36 @t409 @t16) (=> @t236 (=> (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t711) (= (tptp.hAPP @t1028 @t711) (tptp.hAPP @t106 @t711)))))) % 0.60/1.40 (assume @p811 (forall @t737 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t177) @t463) (= @t177 @t497)))) % 0.60/1.40 (assume @p812 (forall @t705 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t466)) (tptp.hAPP (tptp.hAPP @t104 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t409))) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t208)))))) % 0.60/1.40 (assume @p813 (forall @t824 (tptp.hBOOL (tptp.hAPP @t750 (tptp.hAPP (tptp.hAPP @t405 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t36)) @t14))))) % 0.60/1.40 (assume @p814 (forall @t249 (=> @t1013 (=> @t1012 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1011) @t1010)) @t615))))) % 0.60/1.40 (assume @p815 (forall @t848 (=> @t1035 @t1034))) % 0.60/1.40 (assume @p816 (forall @t848 (=> @t1037 @t1036))) % 0.60/1.40 (assume @p817 (forall @t394 (=> @t1013 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t1011) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t9 @t57))))) % 0.60/1.40 (assume @p818 (forall @t394 (=> @t1013 (= (= @t1011 @t81) (= @t57 @t9))))) % 0.60/1.40 (assume @p819 (forall @t394 (=> @t1013 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1011 @t81) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t9))))) % 0.60/1.40 (assume @p820 (forall @t848 (=> @t388 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1007 @t81))))) % 0.60/1.40 (assume @p821 (forall @t848 (=> @t1036 (=> @t388 @t1037)))) % 0.60/1.40 (assume @p822 (forall @t88 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t497 (tptp.hAPP (tptp.hAPP @t405 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t57)) @t50)) (or (not (= @t57 @t497)) @t83)))) % 0.60/1.40 (assume @p823 (forall @t394 (=> @t1013 (= (tptp.hBOOL (tptp.hAPP @t668 @t1011)) @t927)))) % 0.60/1.40 (assume @p824 (forall @t848 (=> @t1034 (=> @t388 @t1035)))) % 0.60/1.40 (assume @p825 (forall @t319 (=> @t388 (=> @t387 (= (tptp.c_Transcendental_Oln @t386) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1007 (tptp.c_Transcendental_Oln @t35))))))) % 0.60/1.40 (assume @p826 (forall @t848 (=> @t847 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t9 @t36))) @t36))))) % 0.60/1.40 (assume @p827 (forall (@list @t36 @t208 @t138) (=> @t1009 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t208 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t36 @t1008))))) % 0.60/1.40 (assume @p828 (forall @t971 (=> @t43 (= @t1040 @t1039)))) % 0.60/1.40 (assume @p829 (forall @t971 (=> @t729 (= (tptp.c_SEQ_Oincseq @t16 @t964) (forall @t970 (=> @t969 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t968) @t966)))))))) % 0.60/1.40 (assume @p830 (forall (@list @t15 @t34) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t960) @t1041))) % 0.60/1.40 (assume @p831 (forall @t848 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t945) @t945))) % 0.60/1.40 (assume @p832 (forall @t116 (=> @t43 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t523) @t523)))) % 0.60/1.40 (assume @p833 (forall (@list @t35 @t36 @t140) (=> @t723 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1042) (tptp.hAPP @t722 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t35)))) (= @t36 @t81))))) % 0.60/1.40 (assume @p834 (forall @t714 (=> (and @t489 @t31) (= (tptp.c_RealVector_Onorm__class_Onorm @t16 @t487) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t409)))))) % 0.60/1.40 (assume @p835 (forall @t848 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1042 @t9) @t36)))) % 0.60/1.40 (assume @p836 (forall @t164 (=> @t43 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t524)) @t521))))) % 0.60/1.40 (assume @p837 (forall @t848 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t9 @t1042)))) % 0.60/1.40 (assume @p838 (forall @t971 (=> @t43 (=> @t1040 @t1039)))) % 0.60/1.40 (assume @p839 (forall (@list @t964 @t1043 @t16) (=> @t43 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t1043) (=> (forall @t794 (tptp.hBOOL (tptp.hAPP @t1038 @t1043))) @t1040))))) % 0.60/1.40 (assume @p840 (forall @t959 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t34) @t1041))) % 0.60/1.40 (assume @p841 (forall (@list @t119 @t36 @t15) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t36) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t36 @t119) (exists @t692 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81 @t689) (forall @t450 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t36 @t449)) @t689) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15) @t449)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t449) @t119))))))))))) % 0.60/1.40 (assume @p842 (forall (@list @t272 @t2 @t50) (=> (forall @t843 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t841 @t50) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint (tptp.hAPP @t2 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t841 @t125)) @t1044))) @t463)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t2 @t7)) @t272)) (=> (tptp.hBOOL (tptp.hAPP @t766 (tptp.hAPP @t2 @t50))) (exists @t843 (and (tptp.hBOOL (tptp.hAPP @t842 @t50)) (= @t1044 @t272)))))))) % 0.60/1.40 (assume @p843 (forall @t925 (and (=> @t1048 (= @t1047 @t7)) (=> @t1049 (= @t1047 (tptp.hAPP (tptp.hAPP @t104 @t1045) @t263)))))) % 0.60/1.40 (assume @p844 (not (tptp.c_Nat__Numeral_Oneg @t1050))) % 0.60/1.40 (assume @p845 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 0.60/1.40 (assume @p846 (forall @t811 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 tptp.c_Int_OPls) @t263))) % 0.60/1.40 (assume @p847 (forall @t811 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t263) @t263))) % 0.60/1.40 (assume @p848 (= tptp.c_Int_OPls @t497)) % 0.60/1.40 (assume @p849 (forall @t759 (= (tptp.hAPP (tptp.hAPP @t408 tptp.c_Int_OPls) @t409) tptp.c_Int_OPls))) % 0.60/1.40 (assume @p850 (tptp.hBOOL (tptp.hAPP @t1051 tptp.c_Int_OPls))) % 0.60/1.40 (assume @p851 (forall @t811 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t263 tptp.c_Int_OPls) @t263))) % 0.60/1.40 (assume @p852 (= @t497 @t1050)) % 0.60/1.40 (assume @p853 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t497))) % 0.60/1.40 (assume @p854 (= @t7 @t1052)) % 0.60/1.40 (assume @p855 (= @t1052 @t7)) % 0.60/1.40 (assume @p856 (forall @t116 (=> @t489 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t1053 @t15) @t15)))) % 0.60/1.40 (assume @p857 (forall @t116 (=> @t489 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t15 @t1053) @t15)))) % 0.60/1.40 (assume @p858 (forall @t32 (=> @t489 (= @t82 @t1053)))) % 0.60/1.40 (assume @p859 (forall @t32 (=> @t489 (= @t1053 @t82)))) % 0.60/1.40 (assume @p860 (forall @t1056 (= (= @t917 @t7) @t1055))) % 0.60/1.40 (assume @p861 (forall @t1056 (= (= @t7 @t917) @t1055))) % 0.60/1.40 (assume @p862 (forall @t918 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t917 @t916) (and (=> @t1057 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t911)) @t1057)))) % 0.60/1.40 (assume @p863 (forall @t918 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t917) @t916)) (=> (not (tptp.hBOOL (tptp.hAPP @t1054 @t911))) @t1055)))) % 0.60/1.40 (assume @p864 (tptp.hBOOL (tptp.hAPP @t750 @t1050))) % 0.60/1.40 (assume @p865 (forall @t1058 (=> @t510 (= (tptp.hBOOL (tptp.hAPP @t458 @t505)) (tptp.hBOOL (tptp.hAPP @t1051 @t56)))))) % 0.60/1.40 (assume @p866 (forall @t91 (=> @t510 (= (tptp.hBOOL (tptp.hAPP @t509 @t82)) (tptp.hBOOL (tptp.hAPP @t507 tptp.c_Int_OPls)))))) % 0.60/1.40 (assume @p867 (forall @t91 (=> @t510 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t506 @t82) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 tptp.c_Int_OPls))))) % 0.60/1.40 (assume @p868 (forall @t1058 (=> @t510 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t505) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t56))))) % 0.60/1.40 (assume @p869 (forall @t1056 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t917) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t514)))) % 0.60/1.40 (assume @p870 (forall @t1061 (and (=> @t1048 (= @t1059 @t921)) (=> @t1049 (and (=> @t1060 (= @t1059 @t849)) (=> (not @t1060) (= @t1059 @t920))))))) % 0.60/1.40 (assume @p871 (forall @t1061 (and (=> @t1048 (= @t1062 @t7)) (=> @t1049 (= @t1062 @t1045))))) % 0.60/1.40 (assume @p872 (= tptp.v_na____ @t1067)) % 0.60/1.40 (assume @p873 (forall @t908 (and (=> @t1048 (= @t1068 @t125)) (=> @t1049 (= @t1068 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Int_Osucc @t475))))))) % 0.60/1.40 (assume @p874 (forall @t238 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t930 @t1070))) % 0.60/1.40 (assume @p875 (forall @t1073 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1072 tptp.c_Int_OPls) @t1071))) % 0.60/1.40 (assume @p876 (forall @t1073 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1074 tptp.c_Int_OPls) @t1071))) % 0.60/1.40 (assume @p877 (forall @t1073 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t1074) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t272)))) % 0.60/1.40 (assume @p878 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 0.60/1.40 (assume @p879 (= (tptp.c_Int_Osucc tptp.c_Int_OPls) @t1063)) % 0.60/1.40 (assume @p880 (forall @t1076 (not (= tptp.c_Int_OPls @t1075)))) % 0.60/1.40 (assume @p881 (forall (@list @t738) (= (= tptp.c_Int_OPls @t1077) (= tptp.c_Int_OPls @t738)))) % 0.60/1.40 (assume @p882 (forall @t811 (not (= @t1078 tptp.c_Int_OPls)))) % 0.60/1.40 (assume @p883 (forall @t1073 (= (= @t1074 tptp.c_Int_OPls) (= @t272 tptp.c_Int_OPls)))) % 0.60/1.40 (assume @p884 (forall @t1073 (= (tptp.hBOOL (tptp.hAPP @t1079 tptp.c_Int_OPls)) (tptp.hBOOL (tptp.hAPP @t766 tptp.c_Int_OPls))))) % 0.60/1.40 (assume @p885 (forall @t1073 (= (tptp.hBOOL (tptp.hAPP @t1051 @t1072)) @t1080))) % 0.60/1.40 (assume @p886 (forall @t1073 (= (tptp.hBOOL (tptp.hAPP @t1051 @t1074)) @t1080))) % 0.60/1.40 (assume @p887 (forall @t1076 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t1081) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t304))))) % 0.60/1.40 (assume @p888 (tptp.hBOOL (tptp.hAPP @t750 @t1082))) % 0.60/1.40 (assume @p889 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t1065)) % 0.60/1.40 (assume @p890 (forall @t397 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t1083) @t1031)))) % 0.60/1.40 (assume @p891 (forall @t116 (=> @t236 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t1084 @t82))))) % 0.60/1.40 (assume @p892 (forall @t223 (=> @t25 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t1086 @t1085) (=> @t685 @t278))))) % 0.60/1.40 (assume @p893 (forall @t244 (=> @t236 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t82 @t1087) @t241)))) % 0.60/1.40 (assume @p894 (forall @t223 (=> @t236 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t1088 @t82))))) % 0.60/1.40 (assume @p895 (forall @t223 (=> @t236 (tptp.hBOOL (tptp.hAPP @t458 @t1088))))) % 0.60/1.40 (assume @p896 (forall @t244 (=> @t236 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1087) @t82)) @t379)))) % 0.60/1.40 (assume @p897 @t1090) % 0.60/1.40 (assume @p898 (forall @t249 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t224 @t57) @t1065) (tptp.hAPP (tptp.hAPP @t224 @t56) @t1065)) @t81) @t381))) % 0.60/1.40 (assume @p899 (forall @t228 (=> @t75 (= (tptp.hAPP @t106 @t1091) (tptp.hAPP (tptp.hAPP @t20 @t226) @t226))))) % 0.60/1.40 (assume @p900 (forall (@list @t409 @t476) (=> (and (tptp.class_Groups_Omonoid__mult @t476) @t482) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t476) @t1092) @t1065) (tptp.hAPP (tptp.hAPP @t478 @t1092) @t1092))))) % 0.60/1.40 (assume @p901 (forall @t244 (=> @t236 (= (= @t1087 @t82) @t379)))) % 0.60/1.40 (assume @p902 (forall @t223 (=> @t25 (=> (= @t1086 @t1085) (=> @t686 (=> @t685 @t280)))))) % 0.60/1.40 (assume @p903 (forall @t223 (=> @t25 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t1086) @t1085)) (=> @t685 @t671))))) % 0.60/1.40 (assume @p904 (forall @t116 (=> @t236 (tptp.hBOOL (tptp.hAPP @t458 @t1084))))) % 0.60/1.40 (assume @p905 (forall @t344 (= @t232 (exists @t80 (= @t50 (tptp.hAPP @t1066 @t79)))))) % 0.60/1.40 (assume @p906 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t125 @t125) @t1065)) % 0.60/1.40 (assume @p907 (forall @t437 (= (tptp.hAPP @t1066 @t208) @t1093))) % 0.60/1.40 (assume @p908 (forall @t437 (= (tptp.hAPP (tptp.hAPP @t104 @t208) @t1065) @t1093))) % 0.60/1.40 (assume @p909 (forall @t26 (=> @t113 (= @t1094 (tptp.hAPP (tptp.hAPP @t17 @t19) @t1065))))) % 0.60/1.40 (assume @p910 (forall @t32 (=> @t865 (= (tptp.hAPP @t220 @t1065) @t23)))) % 0.60/1.40 (assume @p911 (forall @t116 (=> @t113 (= @t1084 @t345)))) % 0.60/1.40 (assume @p912 (forall @t114 (=> @t75 (= @t245 @t1086)))) % 0.60/1.40 (assume @p913 (forall @t397 (=> @t128 (= (= @t1083 @t82) @t93)))) % 0.60/1.40 (assume @p914 (forall @t32 (=> @t865 (= (tptp.hAPP @t129 @t1065) @t82)))) % 0.60/1.40 (assume @p915 (forall @t32 (=> @t489 (= @t73 @t1095)))) % 0.60/1.40 (assume @p916 (forall @t1097 (=> @t489 (= (tptp.hAPP (tptp.hAPP @t20 @t208) @t1095) @t1096)))) % 0.60/1.40 (assume @p917 (forall @t1097 (=> @t489 (= (tptp.hAPP @t1098 @t208) @t1096)))) % 0.60/1.40 (assume @p918 (forall @t848 (= (tptp.hAPP (tptp.hAPP @t45 @t1102) @t1100) (tptp.hAPP (tptp.hAPP @t224 @t1099) @t1065)))) % 0.60/1.40 (assume @p919 (forall @t238 (tptp.hBOOL (tptp.hAPP @t926 @t1070)))) % 0.60/1.40 (assume @p920 (= @t1082 (tptp.hAPP @t867 @t1065))) % 0.60/1.40 (assume @p921 (forall @t134 (=> @t510 (tptp.c_Orderings_Oord__class_Oless @t16 @t861 (tptp.hAPP (tptp.hAPP @t17 @t1095) @t14))))) % 0.60/1.40 (assume @p922 (= @t1065 (tptp.hAPP tptp.c_Int_Onat @t1082))) % 0.60/1.40 (assume @p923 (forall @t116 (=> @t236 (= (tptp.hAPP @t1023 @t1065) @t1084)))) % 0.60/1.40 (assume @p924 (forall @t116 (=> @t236 (= (tptp.c_Groups_Oabs__class_Oabs @t16 @t1084) @t1084)))) % 0.60/1.40 (assume @p925 (forall @t811 (= @t1078 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t463 @t263) @t263)))) % 0.60/1.40 (assume @p926 (forall @t1105 (= (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t1104)) @t1103))) % 0.60/1.40 (assume @p927 (forall @t1105 (= (tptp.c_Nat__Numeral_Oneg (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t1106)) @t1103))) % 0.60/1.40 (assume @p928 (forall @t238 (=> (tptp.hBOOL (tptp.hAPP @t750 @t895)) (and (tptp.hBOOL (tptp.hAPP @t750 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t14)))) (tptp.hBOOL (tptp.hAPP @t750 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t14)))))))) % 0.60/1.40 (assume @p929 (forall @t1110 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1109 @t1081) @t1108))) % 0.60/1.40 (assume @p930 (forall @t1110 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1078 @t1081) (tptp.c_Int_OBit1 @t1107)))) % 0.60/1.40 (assume @p931 (forall @t1110 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1078 @t1075) @t1108))) % 0.60/1.40 (assume @p932 (forall @t740 (= (tptp.hBOOL (tptp.hAPP @t1079 @t1077)) @t767))) % 0.60/1.40 (assume @p933 (forall @t740 (= (tptp.hBOOL (tptp.hAPP @t1079 @t1111)) @t767))) % 0.60/1.40 (assume @p934 (forall @t1118 (= (tptp.hBOOL (tptp.hAPP @t1117 @t1115)) @t1114))) % 0.60/1.40 (assume @p935 (forall @t1118 (= (tptp.hBOOL (tptp.hAPP @t1117 @t1119)) @t1114))) % 0.60/1.40 (assume @p936 (forall @t740 (= (tptp.hBOOL (tptp.hAPP @t1120 @t1111)) @t767))) % 0.60/1.40 (assume @p937 (forall @t1118 (= (tptp.hBOOL (tptp.hAPP @t1122 @t1119)) @t1114))) % 0.60/1.40 (assume @p938 (forall @t740 (= (= @t1072 @t1111) @t1123))) % 0.60/1.40 (assume @p939 (forall @t740 (= (= @t1074 @t1077) @t1123))) % 0.60/1.40 (assume @p940 (forall @t1110 (not (= @t1078 @t1081)))) % 0.60/1.40 (assume @p941 (forall @t1110 (not (= @t1109 @t1075)))) % 0.60/1.40 (assume @p942 (forall @t811 (= (tptp.c_Int_Osucc @t1078) (tptp.c_Int_OBit0 @t1124)))) % 0.60/1.40 (assume @p943 (forall @t811 (= (tptp.c_Int_Osucc @t1109) @t1078))) % 0.60/1.40 (assume @p944 (forall @t1110 (= (tptp.hAPP (tptp.hAPP @t408 @t1109) @t304) @t1125))) % 0.60/1.40 (assume @p945 (forall @t811 (= @t1109 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 @t263)))) % 0.60/1.40 (assume @p946 (forall @t1110 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1109 @t1081) (tptp.c_Int_OBit0 @t1126)))) % 0.60/1.40 (assume @p947 (forall @t1110 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1109 @t1075) @t1127))) % 0.60/1.40 (assume @p948 (forall @t1110 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1078 @t1081) @t1127))) % 0.60/1.40 (assume @p949 (forall @t1110 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1078 @t1075) (tptp.c_Int_OBit0 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 (tptp.c_Int_Osucc @t304)))))) % 0.60/1.40 (assume @p950 (forall @t1110 (= (tptp.hAPP (tptp.hAPP @t408 @t1078) @t304) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1125 @t304)))) % 0.60/1.40 (assume @p951 (forall @t740 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1074 @t1077) @t739))) % 0.60/1.40 (assume @p952 (forall @t1118 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1116 @t1115) @t1128))) % 0.60/1.40 (assume @p953 (forall @t740 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1072 @t1077) @t739))) % 0.60/1.40 (assume @p954 (forall @t740 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1072 @t1111) @t739))) % 0.60/1.40 (assume @p955 (forall @t1118 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1121 @t1115) @t1128))) % 0.60/1.40 (assume @p956 (forall @t1118 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1121 @t1119) @t1128))) % 0.60/1.40 (assume @p957 (forall @t740 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1074 @t1111) @t767))) % 0.60/1.40 (assume @p958 (forall @t1118 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1116 @t1119) @t1114))) % 0.60/1.40 (assume @p959 (forall @t740 (= (tptp.hBOOL (tptp.hAPP @t1120 @t1077)) @t739))) % 0.60/1.40 (assume @p960 (forall @t1118 (= (tptp.hBOOL (tptp.hAPP @t1122 @t1115)) @t1128))) % 0.60/1.40 (assume @p961 (forall @t1105 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1106 @t497) @t1129))) % 0.60/1.40 (assume @p962 (forall @t1105 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1104 @t497) @t1129))) % 0.60/1.40 (assume @p963 (forall @t223 (=> @t489 (= (tptp.hAPP (tptp.hAPP @t17 @t37) @t1065) (tptp.c_Groups_Oplus__class_Oplus @t16 @t1088 @t1130))))) % 0.60/1.40 (assume @p964 (forall (@list @t263 @t15 @t16) (=> @t236 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.hAPP @t18 (tptp.hAPP @t1066 @t263))) @t82)) @t126)))) % 0.60/1.40 (assume @p965 (forall @t26 (=> @t236 (tptp.hBOOL (tptp.hAPP @t458 @t1094))))) % 0.60/1.40 (assume @p966 (forall @t848 (=> @t823 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t36 @t1082) (or (= @t36 @t497) (= @t36 @t463)))))) % 0.60/1.40 (assume @p967 (forall @t238 (= (tptp.hAPP @t958 @t1102) (tptp.hAPP @t929 (tptp.hAPP (tptp.hAPP @t104 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t1101)) @t14))))) % 0.60/1.40 (assume @p968 (forall @t319 (= (tptp.hAPP (tptp.hAPP @t224 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t36 @t35)) @t1065) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1100 (tptp.hAPP (tptp.hAPP @t224 @t35) @t1065)) (tptp.hAPP (tptp.hAPP @t45 @t1099) @t35))))) % 0.60/1.40 (assume @p969 (forall @t714 (=> @t489 (= @t1131 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t82 @t487) @t487))))) % 0.60/1.40 (assume @p970 (forall @t848 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1042 @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1100 @t9)))) % 0.60/1.40 (assume @p971 (forall @t714 (=> @t489 (= (tptp.c_Int_Onumber__class_Onumber__of @t16 (tptp.c_Int_OBit1 @t409)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t23 @t487) @t487))))) % 0.60/1.40 (assume @p972 (forall @t116 (=> @t489 (= (tptp.hAPP (tptp.hAPP @t20 @t1132) @t15) @t15)))) % 0.60/1.40 (assume @p973 (forall @t116 (=> @t489 (= (tptp.hAPP @t21 @t1132) @t15)))) % 0.60/1.40 (assume @p974 (forall @t32 (=> @t489 (= @t23 @t1132)))) % 0.60/1.40 (assume @p975 (forall @t32 (=> @t489 (= @t1132 @t23)))) % 0.60/1.40 (assume @p976 (forall @t1073 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t1072) @t1080))) % 0.60/1.40 (assume @p977 (forall @t1073 (= (tptp.hBOOL (tptp.hAPP @t1120 tptp.c_Int_OPls)) @t1071))) % 0.60/1.40 (assume @p978 (= @t125 @t1133)) % 0.60/1.40 (assume @p979 (= @t1133 @t125)) % 0.60/1.40 (assume @p980 (= @t463 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t1063))) % 0.60/1.40 (assume @p981 (forall @t223 (=> @t489 (= (tptp.hAPP (tptp.hAPP @t17 @t599) @t1065) (tptp.c_Groups_Ominus__class_Ominus @t16 @t1088 @t1130))))) % 0.60/1.40 (assume @p982 (forall @t811 (= @t1124 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t263 @t463)))) % 0.60/1.40 (assume @p983 (forall @t114 (=> @t865 (=> @t823 (= (tptp.hAPP @t850 (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP (tptp.hAPP @t408 @t1082) @t36))) (tptp.c_Groups_Oplus__class_Oplus @t16 @t1134 @t1134)))))) % 0.60/1.40 (assume @p984 (forall @t714 (=> @t489 (= (tptp.hAPP @t74 @t487) @t1131)))) % 0.60/1.40 (assume @p985 (forall @t116 (=> @t113 (= (tptp.hAPP @t18 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t1135)) (tptp.hAPP (tptp.hAPP @t20 @t345) @t15))))) % 0.60/1.40 (assume @p986 (tptp.hBOOL (tptp.hAPP @t750 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t1135)))) % 0.60/1.40 (assume @p987 (forall @t1139 (=> (tptp.class_Orderings_Opreorder @t1136) (tptp.class_Orderings_Opreorder @t1138)))) % 0.60/1.40 (assume @p988 (forall @t1139 (=> (tptp.class_Orderings_Oorder @t1136) (tptp.class_Orderings_Oorder @t1138)))) % 0.60/1.40 (assume @p989 (forall @t1139 (=> (tptp.class_Orderings_Oord @t1136) (tptp.class_Orderings_Oord @t1138)))) % 0.60/1.40 (assume @p990 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p991 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p992 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p993 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p994 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p995 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p996 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p997 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p998 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p999 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1000 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1001 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1002 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1003 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1004 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1005 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1008 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1009 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1010 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1011 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1012 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1013 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1014 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1015 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1021 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1022 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1023 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1024 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1025 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1026 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1027 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1028 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1029 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1030 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1031 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1032 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1033 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1034 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1035 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1036 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1037 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1038 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1039 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1040 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1041 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1042 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1043 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1044 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.60/1.40 (assume @p1045 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1046 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1047 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1048 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1049 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1050 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1051 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1052 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1053 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1054 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1055 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1056 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1057 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1058 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1059 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1060 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1061 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1062 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1063 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1064 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1065 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1066 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1067 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1068 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1069 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1070 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1071 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1072 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1073 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1074 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1075 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1076 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1077 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1078 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1079 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1080 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1081 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.60/1.40 (assume @p1082 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.60/1.40 (assume @p1083 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.60/1.40 (assume @p1084 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.60/1.40 (assume @p1085 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1086 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1087 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1088 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1089 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1090 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1091 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1092 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1093 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1094 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1095 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1096 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1097 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1098 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1099 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1100 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1101 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1102 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1103 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1104 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1106 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1107 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1108 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1109 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1110 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1111 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1112 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1113 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1114 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1115 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1116 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1117 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1118 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1119 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1120 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1121 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1122 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1123 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1124 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1125 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1126 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1127 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1128 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1129 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1130 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1131 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1132 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1133 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1134 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1135 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1136 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1137 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1138 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1139 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1140 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1141 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1142 (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1143 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.60/1.40 (assume @p1144 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1145 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1146 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1147 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1148 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1149 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1150 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1151 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1152 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1153 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1154 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1155 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1156 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1157 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1158 @t1140) % 0.60/1.40 (assume @p1159 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1160 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1161 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1162 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1163 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1164 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1165 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1166 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1167 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1168 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1169 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1170 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1171 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1172 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1173 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1174 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1175 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1176 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1177 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (assume @p1178 (not @t1147)) % 0.60/1.40 (assume @p1179 true) % 0.60/1.40 (step @p1180 :rule evaluate :args ((= false true))) % 0.60/1.40 (step @p1181 :rule true_intro :premises (@p4)) % 0.60/1.40 (step @p1182 :rule refl :args (tptp.v_m____)) % 0.60/1.40 (step @p1183 :rule eq-symm :args (@t1089 @t208)) % 0.60/1.40 (step @p1184 :rule cong :premises (@p1183) :args (@t1090)) % 0.60/1.40 (step @p1185 :rule eq_resolve :premises (@p897 @p1184)) % 0.60/1.40 (step @p1186 :rule instantiate :premises (@p1185) :args ((@list tptp.v_z____))) % 0.60/1.40 (step @p1187 :rule symm :premises (@p1186)) % 0.60/1.40 (step @p1188 :rule refl :args (@t10)) % 0.60/1.40 (step @p1189 :rule cong :premises (@p1188 @p1187) :args (@t1148)) % 0.60/1.40 (step @p1190 :rule cong :premises (@p1189 @p1182) :args (@t1149)) % 0.60/1.40 (step @p1191 :rule bool-impl-elim :args (@t75 @t108)) % 0.60/1.40 (step @p1192 :rule cong :premises (@p1191) :args (@t110)) % 0.60/1.40 (step @p1193 :rule eq_resolve :premises (@p26 @p1192)) % 0.60/1.40 (step @p1194 :rule instantiate :premises (@p1193) :args ((@list tptp.v_m____ @t1065 @t1141 tptp.tc_Complex_Ocomplex))) % 0.60/1.40 (step @p1195 :rule cnf_or_pos :args (@t1152)) % 0.60/1.40 (step @p1196 :rule reordering :premises (@p1195) :args ((or @t1151 @t1150 (not @t1152)))) % 0.60/1.40 (step @p1197 :rule chain_m_resolution :premises (@p1196 @p1158 @p1194) :args (@t1150 (@list false false) (@list @t1140 @t1152))) % 0.60/1.40 (step @p1198 :rule symm :premises (@p1197)) % 0.60/1.40 (step @p1199 :rule refl :args (@t1142)) % 0.60/1.40 (step @p1200 :rule cong :premises (@p1199 @p872) :args (@t1143)) % 0.60/1.40 (step @p1201 :rule trans :premises (@p1200 @p1198 @p1190)) % 0.60/1.40 (step @p1202 :rule refl :args (@t12)) % 0.60/1.40 (step @p1203 :rule cong :premises (@p1202 @p1201) :args (@t1144)) % 0.60/1.40 (step @p1204 :rule refl :args (@t13)) % 0.60/1.40 (step @p1205 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 0.60/1.40 (step @p1206 :rule cong :premises (@p1205 @p1204 @p1203) :args (@t1145)) % 0.60/1.40 (step @p1207 :rule cong :premises (@p1205 @p1206) :args (@t1146)) % 0.60/1.40 (step @p1208 :rule refl :args (tptp.tc_RealDef_Oreal)) % 0.60/1.40 (step @p1209 :rule cong :premises (@p1208 @p1207 @p696) :args ((tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1146 @t941))) % 0.60/1.40 (step @p1210 :rule symm :premises (@p696)) % 0.60/1.40 (step @p1211 :rule refl :args (@t1146)) % 0.60/1.40 (step @p1212 :rule cong :premises (@p1208 @p1211 @p1210) :args (@t1147)) % 0.60/1.40 (step @p1213 :rule false_intro :premises (@p1178)) % 0.60/1.40 (step @p1214 :rule symm :premises (@p1213)) % 0.60/1.40 (step @p1215 :rule trans :premises (@p1214 @p1212 @p1209 @p1181)) % 0.60/1.40 (step @p1216 false :rule eq_resolve :premises (@p1215 @p1180)) % 0.60/1.40 ) % 0.60/1.40 % SZS output end Proof % 0.60/1.40 % cvc5 exiting %------------------------------------------------------------------------------