%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW253+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 : n003.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 09:04:36 AM UTC 2026 % Result : Theorem 1.13s 1.33s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW253+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:42:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.45/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.33 % SZS status Theorem % 1.13/1.33 % SZS output start Proof % 1.13/1.33 ( % 1.13/1.33 (declare-sort $$unsorted 0) % 1.13/1.33 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.13/1.33 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.v_pa____ $$unsorted) % 1.13/1.33 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.13/1.33 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.13/1.33 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.v_q____ $$unsorted) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.13/1.33 (declare-const tptp.v_p $$unsorted) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.v_w____ $$unsorted) % 1.13/1.33 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.v_c____ $$unsorted) % 1.13/1.33 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.13/1.33 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.13/1.33 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.13/1.33 (define @t3 () (@var "B_x" $$unsorted)) % 1.13/1.33 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.13/1.33 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.13/1.33 (define @t6 () (@list @t3)) % 1.13/1.33 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (define @t8 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.13/1.33 (define @t9 () (tptp.hAPP @t8 @t7)) % 1.13/1.33 (define @t10 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t9) tptp.v_q____)) % 1.13/1.33 (define @t11 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t10)) % 1.13/1.33 (define @t12 () (tptp.hAPP @t11 tptp.v_w____)) % 1.13/1.33 (define @t13 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (define @t14 () (tptp.hAPP (tptp.hAPP @t13 @t12) @t9)) % 1.13/1.33 (define @t15 () (tptp.hAPP @t8 tptp.v_w____)) % 1.13/1.33 (define @t16 () (= @t15 @t14)) % 1.13/1.33 (define @t17 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.13/1.33 (define @t18 () (@var "B_y" $$unsorted)) % 1.13/1.33 (define @t19 () (@list @t3 @t18)) % 1.13/1.33 (define @t20 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (define @t21 () (tptp.hAPP @t11 @t7)) % 1.13/1.33 (define @t22 () (@var "B_z" $$unsorted)) % 1.13/1.33 (define @t23 () (@list @t22)) % 1.13/1.33 (define @t24 () (tptp.hAPP (tptp.hAPP @t13 @t21) @t9)) % 1.13/1.33 (define @t25 () (= @t9 @t24)) % 1.13/1.33 (define @t26 () (@var "V_a" $$unsorted)) % 1.13/1.33 (define @t27 () (@var "T_a" $$unsorted)) % 1.13/1.33 (define @t28 () (tptp.c_Groups_Oone__class_Oone @t27)) % 1.13/1.33 (define @t29 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t28 @t26)) % 1.13/1.33 (define @t30 () (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t26)) % 1.13/1.33 (define @t31 () (= @t30 @t29)) % 1.13/1.33 (define @t32 () (tptp.c_Groups_Ozero__class_Ozero @t27)) % 1.13/1.34 (define @t33 () (= @t26 @t32)) % 1.13/1.34 (define @t34 () (not @t33)) % 1.13/1.34 (define @t35 () (tptp.class_Rings_Odivision__ring @t27)) % 1.13/1.34 (define @t36 () (@list @t26 @t27)) % 1.13/1.34 (define @t37 () (@var "V_x_2" $$unsorted)) % 1.13/1.34 (define @t38 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t37)) % 1.13/1.34 (define @t39 () (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t37)) % 1.13/1.34 (define @t40 () (tptp.class_Fields_Olinordered__field__inverse__zero @t27)) % 1.13/1.34 (define @t41 () (@list @t37 @t27)) % 1.13/1.34 (define @t42 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t28)) % 1.13/1.34 (define @t43 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t26)) % 1.13/1.34 (define @t44 () (tptp.class_Fields_Olinordered__field @t27)) % 1.13/1.34 (define @t45 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t46 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t27)) % 1.13/1.34 (define @t47 () (@list @t27)) % 1.13/1.34 (define @t48 () (tptp.class_Fields_Ofield @t27)) % 1.13/1.34 (define @t49 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t26)) % 1.13/1.34 (define @t50 () (= (tptp.c_RealVector_Onorm__class_Onorm @t27 @t30) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t49))) % 1.13/1.34 (define @t51 () (tptp.class_RealVector_Oreal__normed__div__algebra @t27)) % 1.13/1.34 (define @t52 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.13/1.34 (define @t53 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.13/1.34 (define @t54 () (@var "V_y" $$unsorted)) % 1.13/1.34 (define @t55 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t54)) % 1.13/1.34 (define @t56 () (@var "V_x" $$unsorted)) % 1.13/1.34 (define @t57 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t56)) % 1.13/1.34 (define @t58 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t59 () (tptp.hAPP (tptp.hAPP @t58 @t57) @t55)) % 1.13/1.34 (define @t60 () (tptp.c_Groups_Otimes__class_Otimes @t27)) % 1.13/1.34 (define @t61 () (tptp.hAPP @t60 @t56)) % 1.13/1.34 (define @t62 () (tptp.hAPP @t61 @t54)) % 1.13/1.34 (define @t63 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t62)) % 1.13/1.34 (define @t64 () (@list @t54 @t56 @t27)) % 1.13/1.34 (define @t65 () (@var "V_b" $$unsorted)) % 1.13/1.34 (define @t66 () (tptp.hAPP @t60 @t65)) % 1.13/1.34 (define @t67 () (tptp.hAPP @t66 @t26)) % 1.13/1.34 (define @t68 () (tptp.hAPP @t60 @t26)) % 1.13/1.34 (define @t69 () (tptp.hAPP @t68 @t65)) % 1.13/1.34 (define @t70 () (tptp.class_Rings_Ocomm__semiring__1 @t27)) % 1.13/1.34 (define @t71 () (@list @t65 @t26 @t27)) % 1.13/1.34 (define @t72 () (@var "V_ry" $$unsorted)) % 1.13/1.34 (define @t73 () (@var "V_lx" $$unsorted)) % 1.13/1.34 (define @t74 () (tptp.hAPP @t60 @t73)) % 1.13/1.34 (define @t75 () (@var "V_rx" $$unsorted)) % 1.13/1.34 (define @t76 () (tptp.hAPP @t60 @t75)) % 1.13/1.34 (define @t77 () (tptp.hAPP @t76 @t72)) % 1.13/1.34 (define @t78 () (tptp.hAPP @t74 @t77)) % 1.13/1.34 (define @t79 () (@list @t72 @t75 @t73 @t27)) % 1.13/1.34 (define @t80 () (tptp.hAPP @t60 (tptp.hAPP @t74 @t75))) % 1.13/1.34 (define @t81 () (tptp.tc_Polynomial_Opoly @t27)) % 1.13/1.34 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t81)) % 1.13/1.34 (define @t83 () (@var "V_pb_2" $$unsorted)) % 1.13/1.34 (define @t84 () (= @t83 @t82)) % 1.13/1.34 (define @t85 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t86 () (tptp.class_Groups_Ozero @t27)) % 1.13/1.34 (define @t87 () (@list @t83 @t27)) % 1.13/1.34 (define @t88 () (@var "V_ly" $$unsorted)) % 1.13/1.34 (define @t89 () (tptp.hAPP @t60 @t88)) % 1.13/1.34 (define @t90 () (tptp.hAPP @t60 (tptp.hAPP @t74 @t88))) % 1.13/1.34 (define @t91 () (tptp.hAPP @t90 @t75)) % 1.13/1.34 (define @t92 () (@list @t75 @t88 @t73 @t27)) % 1.13/1.34 (define @t93 () (tptp.hAPP @t90 @t77)) % 1.13/1.34 (define @t94 () (@list @t72 @t75 @t88 @t73 @t27)) % 1.13/1.34 (define @t95 () (= @t65 @t32)) % 1.13/1.34 (define @t96 () (= @t69 @t32)) % 1.13/1.34 (define @t97 () (tptp.class_Rings_Ono__zero__divisors @t27)) % 1.13/1.34 (define @t98 () (not @t95)) % 1.13/1.34 (define @t99 () (@var "V_b_2" $$unsorted)) % 1.13/1.34 (define @t100 () (= @t99 @t32)) % 1.13/1.34 (define @t101 () (@var "V_a_2" $$unsorted)) % 1.13/1.34 (define @t102 () (= @t101 @t32)) % 1.13/1.34 (define @t103 () (tptp.hAPP @t60 @t101)) % 1.13/1.34 (define @t104 () (tptp.hAPP @t103 @t99)) % 1.13/1.34 (define @t105 () (@list @t99 @t101 @t27)) % 1.13/1.34 (define @t106 () (tptp.class_RealVector_Oreal__normed__algebra @t27)) % 1.13/1.34 (define @t107 () (@list @t56 @t27)) % 1.13/1.34 (define @t108 () (= (tptp.hAPP @t68 @t32) @t32)) % 1.13/1.34 (define @t109 () (tptp.class_Rings_Omult__zero @t27)) % 1.13/1.34 (define @t110 () (tptp.hAPP @t60 @t32)) % 1.13/1.34 (define @t111 () (@list @t54 @t27)) % 1.13/1.34 (define @t112 () (= (tptp.hAPP @t110 @t26) @t32)) % 1.13/1.34 (define @t113 () (= (tptp.hAPP @t68 @t28) @t26)) % 1.13/1.34 (define @t114 () (= (tptp.hAPP (tptp.hAPP @t60 @t28) @t26) @t26)) % 1.13/1.34 (define @t115 () (@var "V_w" $$unsorted)) % 1.13/1.34 (define @t116 () (tptp.hAPP @t60 @t54)) % 1.13/1.34 (define @t117 () (@var "V_z" $$unsorted)) % 1.13/1.34 (define @t118 () (tptp.hAPP @t61 @t117)) % 1.13/1.34 (define @t119 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t56 @t54)) % 1.13/1.34 (define @t120 () (tptp.class_Fields_Ofield__inverse__zero @t27)) % 1.13/1.34 (define @t121 () (@var "V_c" $$unsorted)) % 1.13/1.34 (define @t122 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t65 @t121)) % 1.13/1.34 (define @t123 () (@list @t121 @t65 @t26 @t27)) % 1.13/1.34 (define @t124 () (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t65)) % 1.13/1.34 (define @t125 () (tptp.hAPP @t60 @t30)) % 1.13/1.34 (define @t126 () (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t69)) % 1.13/1.34 (define @t127 () (@var "V_s" $$unsorted)) % 1.13/1.34 (define @t128 () (@var "V_r" $$unsorted)) % 1.13/1.34 (define @t129 () (tptp.hAPP @t58 @t128)) % 1.13/1.34 (define @t130 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t127)) % 1.13/1.34 (define @t131 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t128)) % 1.13/1.34 (define @t132 () (@list @t127 @t54 @t128 @t56 @t27)) % 1.13/1.34 (define @t133 () (@var "T_b" $$unsorted)) % 1.13/1.34 (define @t134 () (tptp.hAPP @t60 @t121)) % 1.13/1.34 (define @t135 () (tptp.hAPP @t134 @t65)) % 1.13/1.34 (define @t136 () (tptp.hAPP @t134 @t26)) % 1.13/1.34 (define @t137 () (tptp.c_Orderings_Oord__class_Oless @t27 @t136 @t135)) % 1.13/1.34 (define @t138 () (tptp.c_Orderings_Oord__class_Oless @t27 @t121 @t32)) % 1.13/1.34 (define @t139 () (tptp.c_Orderings_Oord__class_Oless @t27 @t65 @t26)) % 1.13/1.34 (define @t140 () (tptp.class_Rings_Olinordered__ring__strict @t27)) % 1.13/1.34 (define @t141 () (@list @t121 @t26 @t65 @t27)) % 1.13/1.34 (define @t142 () (tptp.hAPP @t66 @t121)) % 1.13/1.34 (define @t143 () (tptp.hAPP @t68 @t121)) % 1.13/1.34 (define @t144 () (tptp.c_Orderings_Oord__class_Oless @t27 @t143 @t142)) % 1.13/1.34 (define @t145 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t121)) % 1.13/1.34 (define @t146 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t65)) % 1.13/1.34 (define @t147 () (=> @t146 (=> @t145 @t137))) % 1.13/1.34 (define @t148 () (tptp.class_Rings_Olinordered__semiring__strict @t27)) % 1.13/1.34 (define @t149 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t69)) % 1.13/1.34 (define @t150 () (tptp.c_Orderings_Oord__class_Oless @t27 @t65 @t32)) % 1.13/1.34 (define @t151 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t32)) % 1.13/1.34 (define @t152 () (tptp.c_Orderings_Oord__class_Oless @t27 @t69 @t32)) % 1.13/1.34 (define @t153 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t65)) % 1.13/1.34 (define @t154 () (tptp.c_Orderings_Oord__class_Oless @t27 @t99 @t101)) % 1.13/1.34 (define @t155 () (@var "V_ca_2" $$unsorted)) % 1.13/1.34 (define @t156 () (tptp.hAPP @t60 @t155)) % 1.13/1.34 (define @t157 () (tptp.hAPP @t156 @t99)) % 1.13/1.34 (define @t158 () (tptp.hAPP @t156 @t101)) % 1.13/1.34 (define @t159 () (tptp.c_Orderings_Oord__class_Oless @t27 @t158 @t157)) % 1.13/1.34 (define @t160 () (tptp.c_Orderings_Oord__class_Oless @t27 @t155 @t32)) % 1.13/1.34 (define @t161 () (@list @t99 @t101 @t155 @t27)) % 1.13/1.34 (define @t162 () (=> @t43 @t153)) % 1.13/1.34 (define @t163 () (@list @t26 @t65 @t27)) % 1.13/1.34 (define @t164 () (tptp.c_Orderings_Oord__class_Oless @t27 @t101 @t99)) % 1.13/1.34 (define @t165 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t155)) % 1.13/1.34 (define @t166 () (or (and @t165 @t164) (and @t160 @t154))) % 1.13/1.34 (define @t167 () (tptp.hAPP @t60 @t99)) % 1.13/1.34 (define @t168 () (tptp.hAPP @t167 @t155)) % 1.13/1.34 (define @t169 () (tptp.hAPP @t103 @t155)) % 1.13/1.34 (define @t170 () (@list @t99 @t155 @t101 @t27)) % 1.13/1.34 (define @t171 () (tptp.hAPP @t68 @t26)) % 1.13/1.34 (define @t172 () (tptp.class_Rings_Olinordered__ring @t27)) % 1.13/1.34 (define @t173 () (@var "V_n" $$unsorted)) % 1.13/1.34 (define @t174 () (@var "V_m" $$unsorted)) % 1.13/1.34 (define @t175 () (tptp.class_Rings_Olinordered__semidom @t27)) % 1.13/1.34 (define @t176 () (= @t26 @t122)) % 1.13/1.34 (define @t177 () (=> (= @t143 @t65) @t176)) % 1.13/1.34 (define @t178 () (= @t121 @t32)) % 1.13/1.34 (define @t179 () (not @t178)) % 1.13/1.34 (define @t180 () (=> @t179 @t177)) % 1.13/1.34 (define @t181 () (=> @t35 @t180)) % 1.13/1.34 (define @t182 () (@list @t65 @t26 @t121 @t27)) % 1.13/1.34 (define @t183 () (forall @t182 @t181)) % 1.13/1.34 (define @t184 () (= @t65 @t143)) % 1.13/1.34 (define @t185 () (@list @t26 @t65 @t121 @t27)) % 1.13/1.34 (define @t186 () (@var "V_y_2" $$unsorted)) % 1.13/1.34 (define @t187 () (@var "V_wa_2" $$unsorted)) % 1.13/1.34 (define @t188 () (tptp.hAPP @t60 @t187)) % 1.13/1.34 (define @t189 () (tptp.hAPP @t188 @t186)) % 1.13/1.34 (define @t190 () (@var "V_z_2" $$unsorted)) % 1.13/1.34 (define @t191 () (tptp.hAPP @t60 @t37)) % 1.13/1.34 (define @t192 () (tptp.hAPP @t191 @t190)) % 1.13/1.34 (define @t193 () (= @t186 @t32)) % 1.13/1.34 (define @t194 () (not @t193)) % 1.13/1.34 (define @t195 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t26 @t65)) % 1.13/1.34 (define @t196 () (= @t99 @t169)) % 1.13/1.34 (define @t197 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t99 @t155)) % 1.13/1.34 (define @t198 () (= @t197 @t101)) % 1.13/1.34 (define @t199 () (= @t155 @t32)) % 1.13/1.34 (define @t200 () (not @t199)) % 1.13/1.34 (define @t201 () (@list @t101 @t99 @t155 @t27)) % 1.13/1.34 (define @t202 () (= @t169 @t99)) % 1.13/1.34 (define @t203 () (= @t101 @t197)) % 1.13/1.34 (define @t204 () (=> @t199 @t102)) % 1.13/1.34 (define @t205 () (@list @t101 @t155 @t99 @t27)) % 1.13/1.34 (define @t206 () (@list @t155 @t99 @t101 @t27)) % 1.13/1.34 (define @t207 () (= @t195 (tptp.hAPP @t68 @t124))) % 1.13/1.34 (define @t208 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t209 () (tptp.class_RealVector_Oreal__normed__vector @t27)) % 1.13/1.34 (define @t210 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t121 @t65)) % 1.13/1.34 (define @t211 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t121 @t26)) % 1.13/1.34 (define @t212 () (=> @t149 (tptp.c_Orderings_Oord__class_Oless @t27 @t211 @t210))) % 1.13/1.34 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t27 @t169 @t99)) % 1.13/1.34 (define @t214 () (tptp.c_Orderings_Oord__class_Oless @t27 @t197 @t101)) % 1.13/1.34 (define @t215 () (tptp.c_Orderings_Oord__class_Oless @t27 @t99 @t169)) % 1.13/1.34 (define @t216 () (tptp.c_Orderings_Oord__class_Oless @t27 @t101 @t197)) % 1.13/1.34 (define @t217 () (tptp.hAPP @t60 @t117)) % 1.13/1.34 (define @t218 () (tptp.hAPP @t217 @t54)) % 1.13/1.34 (define @t219 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t54)) % 1.13/1.34 (define @t220 () (@list @t56 @t117 @t54 @t27)) % 1.13/1.34 (define @t221 () (@list @t117 @t56 @t54 @t27)) % 1.13/1.34 (define @t222 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t101)) % 1.13/1.34 (define @t223 () (not @t160)) % 1.13/1.34 (define @t224 () (not @t165)) % 1.13/1.34 (define @t225 () (tptp.c_Orderings_Oord__class_Oless @t27 @t101 @t32)) % 1.13/1.34 (define @t226 () (=> @t34 (= (tptp.hAPP @t125 @t26) @t28))) % 1.13/1.34 (define @t227 () (tptp.c_Orderings_Oord__class_Oless @t27 @t54 @t56)) % 1.13/1.34 (define @t228 () (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t54)) % 1.13/1.34 (define @t229 () (not @t228)) % 1.13/1.34 (define @t230 () (= @t56 @t54)) % 1.13/1.34 (define @t231 () (not @t230)) % 1.13/1.34 (define @t232 () (=> @t231 (=> @t229 @t227))) % 1.13/1.34 (define @t233 () (tptp.class_Rings_Olinordered__idom @t27)) % 1.13/1.34 (define @t234 () (= @t26 @t65)) % 1.13/1.34 (define @t235 () (= @t30 @t124)) % 1.13/1.34 (define @t236 () (tptp.class_Rings_Odivision__ring__inverse__zero @t27)) % 1.13/1.34 (define @t237 () (= @t101 @t99)) % 1.13/1.34 (define @t238 () (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t101)) % 1.13/1.34 (define @t239 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t30) @t26)) % 1.13/1.34 (define @t240 () (tptp.class_Rings_Ozero__neq__one @t27)) % 1.13/1.34 (define @t241 () (tptp.class_RealVector_Oreal__normed__field @t27)) % 1.13/1.34 (define @t242 () (= @t37 @t32)) % 1.13/1.34 (define @t243 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t37)) % 1.13/1.34 (define @t244 () (= @t30 @t32)) % 1.13/1.34 (define @t245 () (@list @t101 @t27)) % 1.13/1.34 (define @t246 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t32) @t32)) % 1.13/1.34 (define @t247 () (= @t37 @t28)) % 1.13/1.34 (define @t248 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t65)) % 1.13/1.34 (define @t249 () (= (tptp.c_RealVector_Onorm__class_Onorm @t27 @t195) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t49 @t248))) % 1.13/1.34 (define @t250 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t26 @t121)) % 1.13/1.34 (define @t251 () (tptp.c_Orderings_Oord__class_Oless @t27 @t250 @t122)) % 1.13/1.34 (define @t252 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t119)) % 1.13/1.34 (define @t253 () (tptp.c_Orderings_Oord__class_Oless @t27 @t54 @t32)) % 1.13/1.34 (define @t254 () (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t32)) % 1.13/1.34 (define @t255 () (tptp.c_Orderings_Oord__class_Oless @t27 @t119 @t32)) % 1.13/1.34 (define @t256 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t56)) % 1.13/1.34 (define @t257 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t99)) % 1.13/1.34 (define @t258 () (tptp.c_Orderings_Oord__class_Oless @t27 @t99 @t32)) % 1.13/1.34 (define @t259 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t101 @t99)) % 1.13/1.34 (define @t260 () (@list @t101 @t99 @t27)) % 1.13/1.34 (define @t261 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t26 @t26)) % 1.13/1.34 (define @t262 () (=> @t34 (= @t261 @t28))) % 1.13/1.34 (define @t263 () (tptp.c_Orderings_Oord__class_Oless @t27 @t30 @t124)) % 1.13/1.34 (define @t264 () (tptp.c_Orderings_Oord__class_Oless @t27 @t30 @t32)) % 1.13/1.34 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t27 @t124 @t30)) % 1.13/1.34 (define @t266 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t30)) % 1.13/1.34 (define @t267 () (not @t242)) % 1.13/1.34 (define @t268 () (@list @t54 @t56)) % 1.13/1.34 (define @t269 () (@var "V_p" $$unsorted)) % 1.13/1.34 (define @t270 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t269) @t56)) % 1.13/1.34 (define @t271 () (tptp.c_Polynomial_Osmult @t27 @t26 @t269)) % 1.13/1.34 (define @t272 () (tptp.class_Rings_Ocomm__semiring__0 @t27)) % 1.13/1.34 (define @t273 () (@list @t269 @t27)) % 1.13/1.34 (define @t274 () (tptp.c_Polynomial_Osmult @t27 @t65 @t269)) % 1.13/1.34 (define @t275 () (@list @t269 @t65 @t26 @t27)) % 1.13/1.34 (define @t276 () (tptp.class_Rings_Oidom @t27)) % 1.13/1.34 (define @t277 () (@var "V_q" $$unsorted)) % 1.13/1.34 (define @t278 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t277) @t56)) % 1.13/1.34 (define @t279 () (tptp.c_Groups_Otimes__class_Otimes @t81)) % 1.13/1.34 (define @t280 () (tptp.hAPP @t279 @t269)) % 1.13/1.34 (define @t281 () (tptp.hAPP @t280 @t277)) % 1.13/1.34 (define @t282 () (@list @t56 @t277 @t269 @t27)) % 1.13/1.34 (define @t283 () (tptp.c_Polynomial_Opoly @t27 @t82)) % 1.13/1.34 (define @t284 () (tptp.class_Groups_Ocomm__monoid__mult @t27)) % 1.13/1.34 (define @t285 () (tptp.class_Groups_Omonoid__mult @t27)) % 1.13/1.34 (define @t286 () (tptp.hAPP @t52 tptp.v_c____)) % 1.13/1.34 (define @t287 () (= @t286 @t7)) % 1.13/1.34 (define @t288 () (@list @t277 @t27)) % 1.13/1.34 (define @t289 () (tptp.c_Polynomial_Osmult @t27 @t26 @t281)) % 1.13/1.34 (define @t290 () (tptp.c_Polynomial_Osmult @t27 @t26 @t277)) % 1.13/1.34 (define @t291 () (@list @t277 @t269 @t26 @t27)) % 1.13/1.34 (define @t292 () (@var "V_qa_2" $$unsorted)) % 1.13/1.34 (define @t293 () (tptp.c_Polynomial_Opoly @t27 @t83)) % 1.13/1.34 (define @t294 () (and (tptp.class_Int_Oring__char__0 @t27) @t276)) % 1.13/1.34 (define @t295 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t83)) % 1.13/1.34 (define @t296 () (@var "B_w" $$unsorted)) % 1.13/1.34 (define @t297 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t52 @t296))) % 1.13/1.34 (define @t298 () (@list @t296)) % 1.13/1.34 (define @t299 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t56)) % 1.13/1.34 (define @t300 () (tptp.hAPP @t58 @t299)) % 1.13/1.34 (define @t301 () (@list @t56)) % 1.13/1.34 (define @t302 () (@var "V_u" $$unsorted)) % 1.13/1.34 (define @t303 () (@var "V_x1" $$unsorted)) % 1.13/1.34 (define @t304 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t303)) % 1.13/1.34 (define @t305 () (tptp.hAPP @t58 @t56)) % 1.13/1.34 (define @t306 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t58 @t303) @t54) (tptp.hAPP @t305 @t302))) % 1.13/1.34 (define @t307 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t303)) % 1.13/1.34 (define @t308 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t56)) % 1.13/1.34 (define @t309 () (@list @t302 @t54 @t303 @t56)) % 1.13/1.34 (define @t310 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t56 @t54)) % 1.13/1.34 (define @t311 () (@var "V_S" $$unsorted)) % 1.13/1.34 (define @t312 () (@var "V_R" $$unsorted)) % 1.13/1.34 (define @t313 () (tptp.hAPP @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 1.13/1.34 (define @t314 () (= @t37 @t186)) % 1.13/1.34 (define @t315 () (not @t314)) % 1.13/1.34 (define @t316 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t186)) % 1.13/1.34 (define @t317 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t37 @t186)) % 1.13/1.34 (define @t318 () (@list @t186 @t37)) % 1.13/1.34 (define @t319 () (@list @t115)) % 1.13/1.34 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t115 @t117)) % 1.13/1.34 (define @t321 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t117 @t115)) % 1.13/1.34 (define @t322 () (@list @t115 @t117)) % 1.13/1.34 (define @t323 () (@var "V_k" $$unsorted)) % 1.13/1.34 (define @t324 () (@var "V_i" $$unsorted)) % 1.13/1.34 (define @t325 () (@var "V_j" $$unsorted)) % 1.13/1.34 (define @t326 () (@list @t323 @t325 @t324)) % 1.13/1.34 (define @t327 () (= @t117 @t115)) % 1.13/1.34 (define @t328 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t37)) % 1.13/1.34 (define @t329 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t99 @t32)) % 1.13/1.34 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t101 @t32)) % 1.13/1.34 (define @t331 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t99)) % 1.13/1.34 (define @t332 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t101)) % 1.13/1.34 (define @t333 () (or (and @t332 @t331) (and @t330 @t329))) % 1.13/1.34 (define @t334 () (or (and @t332 @t329) (and @t330 @t331))) % 1.13/1.34 (define @t335 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t69)) % 1.13/1.34 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t65)) % 1.13/1.34 (define @t337 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t26)) % 1.13/1.34 (define @t338 () (tptp.class_Rings_Oordered__cancel__semiring @t27)) % 1.13/1.34 (define @t339 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t69 @t32)) % 1.13/1.34 (define @t340 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t65 @t32)) % 1.13/1.34 (define @t341 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t32)) % 1.13/1.34 (define @t342 () (tptp.class_Rings_Oordered__ring @t27)) % 1.13/1.34 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t143 @t142)) % 1.13/1.34 (define @t344 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t121)) % 1.13/1.34 (define @t345 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t65)) % 1.13/1.34 (define @t346 () (tptp.class_Rings_Oordered__semiring @t27)) % 1.13/1.34 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t136 @t135)) % 1.13/1.34 (define @t348 () (=> @t345 (=> @t344 @t347))) % 1.13/1.34 (define @t349 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t121 @t32)) % 1.13/1.34 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t65 @t26)) % 1.13/1.34 (define @t351 () (@var "V_d" $$unsorted)) % 1.13/1.34 (define @t352 () (tptp.hAPP @t66 @t351)) % 1.13/1.34 (define @t353 () (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t143 @t352))) % 1.13/1.34 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t121 @t351)) % 1.13/1.34 (define @t355 () (@list @t351 @t121 @t65 @t26 @t27)) % 1.13/1.34 (define @t356 () (tptp.hAPP @t58 @t190)) % 1.13/1.34 (define @t357 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t190)) % 1.13/1.34 (define @t358 () (@list @t186 @t37 @t190)) % 1.13/1.34 (define @t359 () (tptp.hAPP @t58 @t186)) % 1.13/1.34 (define @t360 () (tptp.hAPP @t359 @t190)) % 1.13/1.34 (define @t361 () (tptp.hAPP @t58 @t37)) % 1.13/1.34 (define @t362 () (tptp.hAPP @t361 @t190)) % 1.13/1.34 (define @t363 () (=> @t145 @t345)) % 1.13/1.34 (define @t364 () (@list @t65 @t121 @t26 @t27)) % 1.13/1.34 (define @t365 () (=> @t344 @t146)) % 1.13/1.34 (define @t366 () (=> @t137 @t365)) % 1.13/1.34 (define @t367 () (tptp.class_Rings_Olinordered__semiring @t27)) % 1.13/1.34 (define @t368 () (=> @t144 @t365)) % 1.13/1.34 (define @t369 () (tptp.c_Orderings_Oord__class_Oless @t27 @t143 @t352)) % 1.13/1.34 (define @t370 () (=> @t344 @t369)) % 1.13/1.34 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t27 @t121 @t351)) % 1.13/1.34 (define @t372 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t158 @t157)) % 1.13/1.34 (define @t373 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t101 @t99)) % 1.13/1.34 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t54 @t28)) % 1.13/1.34 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t54)) % 1.13/1.34 (define @t376 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t56)) % 1.13/1.34 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t119)) % 1.13/1.34 (define @t378 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t32)) % 1.13/1.34 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t119 @t32)) % 1.13/1.34 (define @t380 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t54 @t115)) % 1.13/1.34 (define @t381 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t56 @t117)) % 1.13/1.34 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t115 @t117)) % 1.13/1.34 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t115)) % 1.13/1.34 (define @t384 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t54)) % 1.13/1.34 (define @t385 () (@list @t117 @t115 @t54 @t56 @t27)) % 1.13/1.34 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t27 @t381 @t380)) % 1.13/1.34 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t30 @t124)) % 1.13/1.34 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t124 @t30)) % 1.13/1.34 (define @t389 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t37 @t32)) % 1.13/1.34 (define @t390 () (@var "V_z3" $$unsorted)) % 1.13/1.34 (define @t391 () (@var "V_z2" $$unsorted)) % 1.13/1.34 (define @t392 () (tptp.hAPP @t58 @t391)) % 1.13/1.34 (define @t393 () (@var "V_z1" $$unsorted)) % 1.13/1.34 (define @t394 () (tptp.hAPP @t58 @t393)) % 1.13/1.34 (define @t395 () (@list @t390 @t391 @t393)) % 1.13/1.34 (define @t396 () (tptp.hAPP @t58 @t117)) % 1.13/1.34 (define @t397 () (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t211 @t210))) % 1.13/1.34 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t169 @t99)) % 1.13/1.34 (define @t399 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t197 @t101)) % 1.13/1.34 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t99 @t169)) % 1.13/1.34 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t101 @t197)) % 1.13/1.34 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t28)) % 1.13/1.34 (define @t403 () (tptp.hAPP @t58 @t155)) % 1.13/1.34 (define @t404 () (not (= @t155 @t208))) % 1.13/1.34 (define @t405 () (@list @t99 @t101 @t155)) % 1.13/1.34 (define @t406 () (@list @t117)) % 1.13/1.34 (define @t407 () (tptp.hAPP @t305 @t54)) % 1.13/1.34 (define @t408 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t54)) % 1.13/1.34 (define @t409 () (@list @t173)) % 1.13/1.34 (define @t410 () (= @t37 @t208)) % 1.13/1.34 (define @t411 () (tptp.hAPP @t361 @t37)) % 1.13/1.34 (define @t412 () (@list @t37)) % 1.13/1.34 (define @t413 () (tptp.class_Orderings_Opreorder @t27)) % 1.13/1.34 (define @t414 () (@var "B_K" $$unsorted)) % 1.13/1.34 (define @t415 () (tptp.hAPP (tptp.hAPP @t58 (tptp.c_RealVector_Onorm__class_Onorm @t27 @t3)) @t414)) % 1.13/1.34 (define @t416 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.c_Rings_Oinverse__class_Odivide @t27 @t3 @t54)) @t415))) % 1.13/1.34 (define @t417 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t414)) % 1.13/1.34 (define @t418 () (@list @t414)) % 1.13/1.34 (define @t419 () (@var "V_n_2" $$unsorted)) % 1.13/1.34 (define @t420 () (= @t419 @t85)) % 1.13/1.34 (define @t421 () (@list @t419)) % 1.13/1.34 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t423 () (= @t174 @t173)) % 1.13/1.34 (define @t424 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t425 () (@list @t173 @t174)) % 1.13/1.34 (define @t426 () (not @t423)) % 1.13/1.34 (define @t427 () (@var "V_m_2" $$unsorted)) % 1.13/1.34 (define @t428 () (= @t427 @t419)) % 1.13/1.34 (define @t429 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t427 @t419)) % 1.13/1.34 (define @t430 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t427 @t419)) % 1.13/1.34 (define @t431 () (@list @t419 @t427)) % 1.13/1.34 (define @t432 () (not @t428)) % 1.13/1.34 (define @t433 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t121 @t26)) % 1.13/1.34 (define @t434 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t121)) % 1.13/1.34 (define @t435 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t121 @t351)) % 1.13/1.34 (define @t436 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t435)) % 1.13/1.34 (define @t437 () (@list @t351 @t121 @t26 @t27)) % 1.13/1.34 (define @t438 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t65 @t121)) % 1.13/1.34 (define @t439 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t65)) % 1.13/1.34 (define @t440 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t439 @t121)) % 1.13/1.34 (define @t441 () (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t438))) % 1.13/1.34 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t65 @t351)) % 1.13/1.34 (define @t443 () (tptp.c_Groups_Oplus__class_Oplus @t81 @t269 @t277)) % 1.13/1.34 (define @t444 () (= @t99 @t155)) % 1.13/1.34 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t101 @t155)) % 1.13/1.34 (define @t446 () (tptp.class_Groups_Ocancel__semigroup__add @t27)) % 1.13/1.34 (define @t447 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t155 @t101)) % 1.13/1.34 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t99 @t101)) % 1.13/1.34 (define @t449 () (= @t65 @t121)) % 1.13/1.34 (define @t450 () (=> (= @t439 @t434) @t449)) % 1.13/1.34 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t65 @t26)) % 1.13/1.34 (define @t452 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t54)) % 1.13/1.34 (define @t453 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t452)) % 1.13/1.34 (define @t454 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t32 @t26) @t26)) % 1.13/1.34 (define @t455 () (tptp.class_Groups_Omonoid__add @t27)) % 1.13/1.34 (define @t456 () (tptp.class_Groups_Ocomm__monoid__add @t27)) % 1.13/1.34 (define @t457 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t101 @t101)) % 1.13/1.34 (define @t458 () (tptp.class_Groups_Olinordered__ab__group__add @t27)) % 1.13/1.34 (define @t459 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t32) @t26)) % 1.13/1.34 (define @t460 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t27)) % 1.13/1.34 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t99 @t155)) % 1.13/1.34 (define @t462 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t27)) % 1.13/1.34 (define @t463 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t155 @t99)) % 1.13/1.34 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t434 @t438)) % 1.13/1.34 (define @t465 () (tptp.class_Groups_Oordered__ab__semigroup__add @t27)) % 1.13/1.34 (define @t466 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t121 @t65)) % 1.13/1.34 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t433 @t466)) % 1.13/1.34 (define @t468 () (tptp.c_Orderings_Oord__class_Oless @t27 @t434 @t438)) % 1.13/1.34 (define @t469 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t27)) % 1.13/1.34 (define @t470 () (tptp.c_Orderings_Oord__class_Oless @t27 @t433 @t466)) % 1.13/1.34 (define @t471 () (tptp.c_Orderings_Oord__class_Oless @t27 @t434 @t442)) % 1.13/1.34 (define @t472 () (=> @t371 @t471)) % 1.13/1.34 (define @t473 () (@var "V_e" $$unsorted)) % 1.13/1.34 (define @t474 () (tptp.hAPP @t60 @t439)) % 1.13/1.34 (define @t475 () (tptp.hAPP @t68 @t174)) % 1.13/1.34 (define @t476 () (@var "V_ya" $$unsorted)) % 1.13/1.34 (define @t477 () (tptp.hAPP @t116 @t476)) % 1.13/1.34 (define @t478 () (tptp.hAPP @t61 @t476)) % 1.13/1.34 (define @t479 () (@list @t476 @t54 @t56 @t27)) % 1.13/1.34 (define @t480 () (@var "V_a_H" $$unsorted)) % 1.13/1.34 (define @t481 () (tptp.hAPP @t60 @t480)) % 1.13/1.34 (define @t482 () (tptp.hAPP @t481 @t65)) % 1.13/1.34 (define @t483 () (@list @t65 @t480 @t26 @t27)) % 1.13/1.34 (define @t484 () (= (tptp.hAPP @t474 @t121) (tptp.c_Groups_Oplus__class_Oplus @t27 @t143 @t142))) % 1.13/1.34 (define @t485 () (@var "V_d_2" $$unsorted)) % 1.13/1.34 (define @t486 () (tptp.hAPP @t103 @t485)) % 1.13/1.34 (define @t487 () (= @t155 @t485)) % 1.13/1.34 (define @t488 () (@list @t485 @t155 @t99 @t101 @t27)) % 1.13/1.34 (define @t489 () (@var "V_xa" $$unsorted)) % 1.13/1.34 (define @t490 () (tptp.hAPP @t60 @t489)) % 1.13/1.34 (define @t491 () (tptp.hAPP @t490 @t54)) % 1.13/1.34 (define @t492 () (tptp.hAPP @t490 @t56)) % 1.13/1.34 (define @t493 () (@list @t54 @t56 @t489 @t27)) % 1.13/1.34 (define @t494 () (@list @t117 @t54 @t56 @t27)) % 1.13/1.34 (define @t495 () (@var "V_b_H" $$unsorted)) % 1.13/1.34 (define @t496 () (tptp.hAPP @t68 @t495)) % 1.13/1.34 (define @t497 () (@list @t495 @t65 @t26 @t27)) % 1.13/1.34 (define @t498 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t54 @t476)) % 1.13/1.34 (define @t499 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t56 @t476)) % 1.13/1.34 (define @t500 () (@var "V_k_2" $$unsorted)) % 1.13/1.34 (define @t501 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t500)) % 1.13/1.34 (define @t502 () (=> @t501 @t430)) % 1.13/1.34 (define @t503 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t504 () (tptp.hAPP @t503 @t419)) % 1.13/1.34 (define @t505 () (tptp.hAPP @t504 @t500)) % 1.13/1.34 (define @t506 () (tptp.hAPP @t503 @t427)) % 1.13/1.34 (define @t507 () (tptp.hAPP @t506 @t500)) % 1.13/1.34 (define @t508 () (@list @t419 @t500 @t427)) % 1.13/1.34 (define @t509 () (tptp.hAPP @t503 @t500)) % 1.13/1.34 (define @t510 () (tptp.hAPP @t509 @t419)) % 1.13/1.34 (define @t511 () (tptp.hAPP @t509 @t427)) % 1.13/1.34 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t511 @t510)) % 1.13/1.34 (define @t513 () (@list @t419 @t427 @t500)) % 1.13/1.34 (define @t514 () (tptp.class_Groups_Oordered__comm__monoid__add @t27)) % 1.13/1.34 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t65 @t434)) % 1.13/1.34 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t65 @t121)) % 1.13/1.34 (define @t517 () (and @t242 @t193)) % 1.13/1.34 (define @t518 () (@list @t186 @t37 @t27)) % 1.13/1.34 (define @t519 () (= (tptp.c_Orderings_Oord__class_Oless @t27 @t457 @t32) @t225)) % 1.13/1.34 (define @t520 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t439)) % 1.13/1.34 (define @t521 () (=> @t153 @t520)) % 1.13/1.34 (define @t522 () (tptp.c_Orderings_Oord__class_Oless @t27 @t439 @t32)) % 1.13/1.34 (define @t523 () (=> @t150 @t522)) % 1.13/1.34 (define @t524 () (tptp.c_Orderings_Oord__class_Oless @t27 @t65 @t434)) % 1.13/1.34 (define @t525 () (tptp.c_Orderings_Oord__class_Oless @t27 @t65 @t121)) % 1.13/1.34 (define @t526 () (=> @t525 @t524)) % 1.13/1.34 (define @t527 () (tptp.hAPP @t60 @t128)) % 1.13/1.34 (define @t528 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t28)) % 1.13/1.34 (define @t529 () (tptp.hAPP (tptp.hAPP @t60 @t528) @t174)) % 1.13/1.34 (define @t530 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t28 @t28)) % 1.13/1.34 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t218)) % 1.13/1.34 (define @t532 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t531 @t54)) % 1.13/1.34 (define @t533 () (not (= @t54 @t32))) % 1.13/1.34 (define @t534 () (tptp.hAPP @t217 @t56)) % 1.13/1.34 (define @t535 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t54 @t117)) % 1.13/1.34 (define @t536 () (not (= @t117 @t32))) % 1.13/1.34 (define @t537 () (@list @t54 @t56 @t117 @t27)) % 1.13/1.34 (define @t538 () (tptp.hAPP @t116 @t117)) % 1.13/1.34 (define @t539 () (tptp.hAPP (tptp.hAPP @t60 @t115) @t54)) % 1.13/1.34 (define @t540 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t115 @t117)) % 1.13/1.34 (define @t541 () (@list @t115 @t56 @t117 @t54 @t27)) % 1.13/1.34 (define @t542 () (tptp.c_Rings_Oinverse__class_Odivide @t27 @t439 @t530)) % 1.13/1.34 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t30 @t124)) % 1.13/1.34 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t54 @t56)) % 1.13/1.34 (define @t545 () (tptp.class_Orderings_Olinorder @t27)) % 1.13/1.34 (define @t546 () (tptp.tc_fun @t27 @t133)) % 1.13/1.34 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t546 @t2 @t1)) % 1.13/1.34 (define @t548 () (tptp.class_Orderings_Oord @t133)) % 1.13/1.34 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t117 @t54)) % 1.13/1.34 (define @t550 () (tptp.class_Orderings_Oorder @t27)) % 1.13/1.34 (define @t551 () (@list @t56 @t54 @t27)) % 1.13/1.34 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t54 @t117)) % 1.13/1.34 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t121 @t26)) % 1.13/1.34 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t121)) % 1.13/1.34 (define @t555 () (tptp.class_Orderings_Oord @t27)) % 1.13/1.34 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t37 @t186)) % 1.13/1.34 (define @t557 () (= @t556 @t314)) % 1.13/1.34 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t186 @t37)) % 1.13/1.34 (define @t559 () (@list @t37 @t186 @t27)) % 1.13/1.34 (define @t560 () (@list @t1 @t2 @t27 @t133)) % 1.13/1.34 (define @t561 () (tptp.c_Orderings_Oord__class_Oless @t27 @t186 @t37)) % 1.13/1.34 (define @t562 () (tptp.c_Orderings_Oord__class_Oless @t27 @t37 @t186)) % 1.13/1.34 (define @t563 () (not @t562)) % 1.13/1.34 (define @t564 () (= @t563 @t314)) % 1.13/1.34 (define @t565 () (not (= @t54 @t56))) % 1.13/1.34 (define @t566 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t121)) % 1.13/1.34 (define @t567 () (tptp.c_Orderings_Oord__class_Oless @t27 @t121 @t26)) % 1.13/1.34 (define @t568 () (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t117)) % 1.13/1.34 (define @t569 () (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t54 @t117) @t568)) % 1.13/1.34 (define @t570 () (tptp.c_Orderings_Oord__class_Oless @t27 @t117 @t56)) % 1.13/1.34 (define @t571 () (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t117 @t54) @t570)) % 1.13/1.34 (define @t572 () (tptp.hAPP @t503 @t174)) % 1.13/1.34 (define @t573 () (@list @t174)) % 1.13/1.34 (define @t574 () (= @t427 @t85)) % 1.13/1.34 (define @t575 () (tptp.hAPP @t506 @t419)) % 1.13/1.34 (define @t576 () (= @t500 @t85)) % 1.13/1.34 (define @t577 () (or @t428 @t576)) % 1.13/1.34 (define @t578 () (= @t511 @t510)) % 1.13/1.34 (define @t579 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t580 () (tptp.hAPP @t572 @t173)) % 1.13/1.34 (define @t581 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t419 @t427)) % 1.13/1.34 (define @t582 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t54)) % 1.13/1.34 (define @t583 () (@list @t174 @t173)) % 1.13/1.34 (define @t584 () (@var "V_t" $$unsorted)) % 1.13/1.34 (define @t585 () (@var "V_P_2" $$unsorted)) % 1.13/1.34 (define @t586 () (tptp.hAPP @t585 @t419)) % 1.13/1.34 (define @t587 () (tptp.hBOOL (tptp.hAPP @t586 @t427))) % 1.13/1.34 (define @t588 () (@var "V_v" $$unsorted)) % 1.13/1.34 (define @t589 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t60 @t302) @t56) (tptp.hAPP (tptp.hAPP @t60 @t588) @t54))) % 1.13/1.34 (define @t590 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t302 @t588) @t28)) % 1.13/1.34 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t588)) % 1.13/1.34 (define @t592 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t302)) % 1.13/1.34 (define @t593 () (@list @t588 @t302 @t54 @t26 @t56 @t27)) % 1.13/1.34 (define @t594 () (not @t234)) % 1.13/1.34 (define @t595 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t419)) % 1.13/1.34 (define @t596 () (not @t420)) % 1.13/1.34 (define @t597 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t427)) % 1.13/1.34 (define @t598 () (and @t501 @t429)) % 1.13/1.34 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t511 @t510)) % 1.13/1.34 (define @t600 () (= @t173 @t85)) % 1.13/1.34 (define @t601 () (not @t600)) % 1.13/1.34 (define @t602 () (tptp.hAPP @t503 @t325)) % 1.13/1.34 (define @t603 () (tptp.hAPP @t602 @t323)) % 1.13/1.34 (define @t604 () (tptp.hAPP @t503 @t324)) % 1.13/1.34 (define @t605 () (tptp.hAPP @t604 @t323)) % 1.13/1.34 (define @t606 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t323)) % 1.13/1.34 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t324 @t325)) % 1.13/1.34 (define @t608 () (tptp.hAPP @t503 @t323)) % 1.13/1.34 (define @t609 () (tptp.hAPP @t608 @t325)) % 1.13/1.34 (define @t610 () (tptp.hAPP @t608 @t324)) % 1.13/1.34 (define @t611 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t173)) % 1.13/1.34 (define @t612 () (@var "B_q" $$unsorted)) % 1.13/1.34 (define @t613 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t612) @t3) @t313))) % 1.13/1.34 (define @t614 () (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t612) @t53)) % 1.13/1.34 (define @t615 () (@list @t612)) % 1.13/1.34 (define @t616 () (tptp.hAPP @t61 @t56)) % 1.13/1.34 (define @t617 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t616 (tptp.hAPP @t116 @t54))) % 1.13/1.34 (define @t618 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t191 @t37) (tptp.hAPP (tptp.hAPP @t60 @t186) @t186))) % 1.13/1.34 (define @t619 () (tptp.hAPP @t572 @t174)) % 1.13/1.34 (define @t620 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t324 @t325)) % 1.13/1.34 (define @t621 () (@var "V_l" $$unsorted)) % 1.13/1.34 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t621)) % 1.13/1.34 (define @t623 () (@list @t621 @t323 @t325 @t324)) % 1.13/1.34 (define @t624 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t625 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t173 @t174)) % 1.13/1.34 (define @t626 () (@var "B_n" $$unsorted)) % 1.13/1.34 (define @t627 () (@var "V_l_2" $$unsorted)) % 1.13/1.34 (define @t628 () (@list @t626)) % 1.13/1.34 (define @t629 () (@var "B_k" $$unsorted)) % 1.13/1.34 (define @t630 () (@list @t629)) % 1.13/1.34 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t174)) % 1.13/1.34 (define @t632 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t500 @t419)) % 1.13/1.34 (define @t633 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t500 @t427)) % 1.13/1.34 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t325 @t174)) % 1.13/1.34 (define @t635 () (@list @t174 @t325 @t324)) % 1.13/1.34 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t325)) % 1.13/1.34 (define @t637 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t325 @t323)) % 1.13/1.34 (define @t638 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t324 @t323)) % 1.13/1.34 (define @t639 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t325 @t621)) % 1.13/1.34 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t173)) % 1.13/1.34 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t323) @t173)) % 1.13/1.34 (define @t642 () (@list @t173 @t323 @t174)) % 1.13/1.34 (define @t643 () (tptp.hAPP @t503 @t173)) % 1.13/1.34 (define @t644 () (tptp.hAPP @t643 @t323)) % 1.13/1.34 (define @t645 () (tptp.hAPP @t572 @t323)) % 1.13/1.34 (define @t646 () (@list @t323 @t173 @t174)) % 1.13/1.34 (define @t647 () (= @t419 @t579)) % 1.13/1.34 (define @t648 () (= @t427 @t579)) % 1.13/1.34 (define @t649 () (and @t648 @t647)) % 1.13/1.34 (define @t650 () (tptp.hAPP @t608 @t173)) % 1.13/1.34 (define @t651 () (tptp.hAPP @t608 @t174)) % 1.13/1.34 (define @t652 () (@list @t173 @t174 @t323)) % 1.13/1.34 (define @t653 () (tptp.hAPP @t643 @t174)) % 1.13/1.34 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t54)) % 1.13/1.34 (define @t655 () (@list @t117 @t54 @t56)) % 1.13/1.34 (define @t656 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t427 @t419)) % 1.13/1.34 (define @t657 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t324 @t325)) % 1.13/1.34 (define @t658 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t325 @t324)) % 1.13/1.34 (define @t659 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323 @t621)) % 1.13/1.34 (define @t660 () (@list @t115 @t391 @t393)) % 1.13/1.34 (define @t661 () (@list @t117 @t115)) % 1.13/1.34 (define @t662 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t419 @t500)) % 1.13/1.34 (define @t663 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t54 @t117)) % 1.13/1.34 (define @t664 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.hAPP (tptp.hAPP @t60 @t3) @t54)) @t415))) % 1.13/1.34 (define @t665 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.hAPP @t61 @t3)) @t415))) % 1.13/1.34 (define @t666 () (@var "B_b" $$unsorted)) % 1.13/1.34 (define @t667 () (@var "B_a" $$unsorted)) % 1.13/1.34 (define @t668 () (forall (@list @t667 @t666) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.hAPP (tptp.hAPP @t60 @t667) @t666)) (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t58 (tptp.c_RealVector_Onorm__class_Onorm @t27 @t667)) (tptp.c_RealVector_Onorm__class_Onorm @t27 @t666))) @t414)))) % 1.13/1.34 (define @t669 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t663)) % 1.13/1.34 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t54)) % 1.13/1.34 (define @t671 () (@list @t54 @t117 @t56)) % 1.13/1.34 (define @t672 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t663)) % 1.13/1.34 (define @t673 () (@var "B_m" $$unsorted)) % 1.13/1.34 (define @t674 () (@var "V_X_2" $$unsorted)) % 1.13/1.34 (define @t675 () (tptp.hAPP @t674 @t673)) % 1.13/1.34 (define @t676 () (tptp.hAPP @t674 @t626)) % 1.13/1.34 (define @t677 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t673 @t626)) % 1.13/1.34 (define @t678 () (@list @t673 @t626)) % 1.13/1.34 (define @t679 () (@list @t674 @t27)) % 1.13/1.34 (define @t680 () (@var "B_i" $$unsorted)) % 1.13/1.34 (define @t681 () (tptp.hAPP @t585 @t680)) % 1.13/1.34 (define @t682 () (tptp.hBOOL @t681)) % 1.13/1.34 (define @t683 () (@list @t680)) % 1.13/1.34 (define @t684 () (tptp.hBOOL @t586)) % 1.13/1.34 (define @t685 () (tptp.hBOOL (tptp.hAPP @t585 @t85))) % 1.13/1.34 (define @t686 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t414)) % 1.13/1.34 (define @t687 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t676)) % 1.13/1.34 (define @t688 () (exists @t418 (and @t417 (forall @t628 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t687 @t414))))) % 1.13/1.34 (define @t689 () (tptp.c_SEQ_OBseq @t27 @t674)) % 1.13/1.34 (define @t690 () (tptp.c_RComplete_Onatceiling @t56)) % 1.13/1.34 (define @t691 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t56 @t45)) % 1.13/1.34 (define @t692 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t56)) % 1.13/1.34 (define @t693 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t208)) % 1.13/1.34 (define @t694 () (tptp.c_RComplete_Onatceiling @t37)) % 1.13/1.34 (define @t695 () (@list @t65 @t26)) % 1.13/1.34 (define @t696 () (tptp.c_RComplete_Onatfloor @t56)) % 1.13/1.34 (define @t697 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t173)) % 1.13/1.34 (define @t698 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t697 @t45)) % 1.13/1.34 (define @t699 () (@list @t56 @t173)) % 1.13/1.34 (define @t700 () (@var "V_K_2" $$unsorted)) % 1.13/1.34 (define @t701 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t687 @t700)) % 1.13/1.34 (define @t702 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t696)) % 1.13/1.34 (define @t703 () (tptp.c_RComplete_Onatfloor @t26)) % 1.13/1.34 (define @t704 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t56)) % 1.13/1.34 (define @t705 () (@list @t26 @t56)) % 1.13/1.34 (define @t706 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t101)) % 1.13/1.34 (define @t707 () (tptp.c_RComplete_Onatfloor @t37)) % 1.13/1.34 (define @t708 () (@list @t101 @t37)) % 1.13/1.34 (define @t709 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t427)) % 1.13/1.34 (define @t710 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t419)) % 1.13/1.34 (define @t711 () (@list @t427 @t419)) % 1.13/1.34 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t419 @t427)) % 1.13/1.34 (define @t713 () (@list @t173 @t56)) % 1.13/1.34 (define @t714 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t174)) % 1.13/1.34 (define @t715 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t26)) % 1.13/1.34 (define @t716 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t56 @t715)) % 1.13/1.34 (define @t717 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t579)) % 1.13/1.34 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t45 @t37)) % 1.13/1.34 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t45 @t56)) % 1.13/1.34 (define @t720 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.13/1.34 (define @t721 () (tptp.hAPP @t58 @t697)) % 1.13/1.34 (define @t722 () (@var "V_N_2" $$unsorted)) % 1.13/1.34 (define @t723 () (tptp.c_Power_Opower__class_Opower @t27)) % 1.13/1.34 (define @t724 () (tptp.hAPP (tptp.hAPP @t720 @t57) @t173)) % 1.13/1.34 (define @t725 () (tptp.hAPP @t723 @t56)) % 1.13/1.34 (define @t726 () (tptp.hAPP @t725 @t173)) % 1.13/1.34 (define @t727 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t726)) % 1.13/1.34 (define @t728 () (@list @t173 @t56 @t27)) % 1.13/1.34 (define @t729 () (tptp.hAPP @t723 @t54)) % 1.13/1.34 (define @t730 () (tptp.hAPP @t725 @t277)) % 1.13/1.34 (define @t731 () (tptp.hAPP @t725 @t269)) % 1.13/1.34 (define @t732 () (@list @t277 @t269 @t56 @t27)) % 1.13/1.34 (define @t733 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t734 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t651 @t650)) % 1.13/1.34 (define @t735 () (= @t734 @t733)) % 1.13/1.34 (define @t736 () (= @t323 @t85)) % 1.13/1.34 (define @t737 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t697 @t704)) % 1.13/1.34 (define @t738 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t173 @t56))) % 1.13/1.34 (define @t739 () (tptp.hAPP (tptp.hAPP @t723 @t65) @t173)) % 1.13/1.34 (define @t740 () (tptp.hAPP @t723 @t26)) % 1.13/1.34 (define @t741 () (tptp.hAPP @t740 @t173)) % 1.13/1.34 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t27 @t741 @t739)) % 1.13/1.34 (define @t743 () (@list @t173 @t65 @t26 @t27)) % 1.13/1.34 (define @t744 () (@var "B_j" $$unsorted)) % 1.13/1.34 (define @t745 () (= @t419 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t509 @t680) @t744))) % 1.13/1.34 (define @t746 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t744 @t500)) % 1.13/1.34 (define @t747 () (@list @t680 @t744)) % 1.13/1.34 (define @t748 () (not @t576)) % 1.13/1.34 (define @t749 () (@list @t500 @t419 @t585)) % 1.13/1.34 (define @t750 () (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t26)) % 1.13/1.34 (define @t751 () (@list @t173 @t26 @t27)) % 1.13/1.34 (define @t752 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.13/1.34 (define @t753 () (tptp.hAPP @t752 @t56)) % 1.13/1.34 (define @t754 () (tptp.hAPP @t753 @t54)) % 1.13/1.34 (define @t755 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.13/1.34 (define @t756 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t37)) % 1.13/1.34 (define @t757 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.13/1.34 (define @t758 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 (tptp.hAPP (tptp.hAPP @t757 @t37) @t419))) % 1.13/1.34 (define @t759 () (@list @t419 @t37)) % 1.13/1.34 (define @t760 () (tptp.hAPP @t757 @t324)) % 1.13/1.34 (define @t761 () (tptp.hAPP @t760 @t173)) % 1.13/1.34 (define @t762 () (tptp.hAPP @t760 @t174)) % 1.13/1.34 (define @t763 () (@list @t173 @t174 @t324)) % 1.13/1.34 (define @t764 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t757 @t174) @t173))) % 1.13/1.34 (define @t765 () (tptp.hAPP (tptp.hAPP @t720 @t714) @t173)) % 1.13/1.34 (define @t766 () (tptp.hAPP (tptp.hAPP @t720 @t56) @t173)) % 1.13/1.34 (define @t767 () (tptp.hAPP @t60 @t741)) % 1.13/1.34 (define @t768 () (tptp.hAPP @t68 @t741)) % 1.13/1.34 (define @t769 () (@list @t173 @t27)) % 1.13/1.34 (define @t770 () (tptp.class_Divides_Osemiring__div @t27)) % 1.13/1.34 (define @t771 () (= (tptp.hAPP (tptp.hAPP @t723 @t195) @t173) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t741 @t739))) % 1.13/1.34 (define @t772 () (tptp.hAPP @t740 @t174)) % 1.13/1.34 (define @t773 () (@list @t173 @t174 @t26 @t27)) % 1.13/1.34 (define @t774 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t741) (tptp.hAPP (tptp.hAPP @t723 @t30) @t173))) % 1.13/1.34 (define @t775 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t26 @t65)) % 1.13/1.34 (define @t776 () (tptp.hAPP @t503 @t65)) % 1.13/1.34 (define @t777 () (tptp.hAPP @t776 @t121)) % 1.13/1.34 (define @t778 () (@list @t121 @t65 @t26)) % 1.13/1.34 (define @t779 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t26)) % 1.13/1.34 (define @t780 () (tptp.hAPP @t723 @t101)) % 1.13/1.34 (define @t781 () (tptp.hAPP @t780 @t419)) % 1.13/1.34 (define @t782 () (tptp.class_Power_Opower @t27)) % 1.13/1.34 (define @t783 () (@list @t419 @t101 @t27)) % 1.13/1.34 (define @t784 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t65)) % 1.13/1.34 (define @t785 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t136 @t135)) % 1.13/1.34 (define @t786 () (=> @t179 (= @t785 @t784))) % 1.13/1.34 (define @t787 () (@list @t65 @t173 @t26 @t27)) % 1.13/1.34 (define @t788 () (tptp.hAPP (tptp.hAPP @t723 @t32) @t173)) % 1.13/1.34 (define @t789 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t121 @t784)) % 1.13/1.34 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t142)) % 1.13/1.34 (define @t791 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t135)) % 1.13/1.34 (define @t792 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t784 @t28)) % 1.13/1.34 (define @t793 () (tptp.hAPP @t723 @t99)) % 1.13/1.34 (define @t794 () (tptp.hAPP @t793 @t186)) % 1.13/1.34 (define @t795 () (tptp.hAPP @t793 @t37)) % 1.13/1.34 (define @t796 () (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t99)) % 1.13/1.34 (define @t797 () (@list @t186 @t37 @t99 @t27)) % 1.13/1.34 (define @t798 () (@var "V_N" $$unsorted)) % 1.13/1.34 (define @t799 () (tptp.hAPP @t740 @t798)) % 1.13/1.34 (define @t800 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t798)) % 1.13/1.34 (define @t801 () (@list @t26 @t798 @t173 @t27)) % 1.13/1.34 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t798)) % 1.13/1.34 (define @t803 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t174)) % 1.13/1.34 (define @t804 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (define @t805 () (= @t419 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 @t500) @t680) @t744))) % 1.13/1.34 (define @t806 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.13/1.34 (define @t807 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t500 @t744) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t744 @t806) @t805)) % 1.13/1.34 (define @t808 () (@list @t744)) % 1.13/1.34 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t500 @t806)) % 1.13/1.34 (define @t810 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t744) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t744 @t500) @t805)) % 1.13/1.34 (define @t811 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t500)) % 1.13/1.34 (define @t812 () (= @t500 @t806)) % 1.13/1.34 (define @t813 () (tptp.hAPP @t585 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t419 @t500))) % 1.13/1.34 (define @t814 () (@var "V_b_1" $$unsorted)) % 1.13/1.34 (define @t815 () (@var "V_a_1" $$unsorted)) % 1.13/1.34 (define @t816 () (not (= @t814 @t806))) % 1.13/1.34 (define @t817 () (@var "V_r_1" $$unsorted)) % 1.13/1.34 (define @t818 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t814)) % 1.13/1.34 (define @t819 () (not @t818)) % 1.13/1.34 (define @t820 () (tptp.hAPP @t755 @t814)) % 1.13/1.34 (define @t821 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t65)) % 1.13/1.34 (define @t822 () (tptp.hAPP @t755 @t65)) % 1.13/1.34 (define @t823 () (tptp.hAPP @t822 @t121)) % 1.13/1.34 (define @t824 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t121)) % 1.13/1.34 (define @t825 () (@list @t65 @t26 @t121)) % 1.13/1.34 (define @t826 () (@var "V_q_H" $$unsorted)) % 1.13/1.34 (define @t827 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t826 @t277)) % 1.13/1.34 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t495 @t65)) % 1.13/1.34 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t495)) % 1.13/1.34 (define @t830 () (@var "V_r_H" $$unsorted)) % 1.13/1.34 (define @t831 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t830)) % 1.13/1.34 (define @t832 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t128 @t65)) % 1.13/1.34 (define @t833 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 @t495) @t826) @t830)) % 1.13/1.34 (define @t834 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t833 @t806)) % 1.13/1.34 (define @t835 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 @t277) @t128)) % 1.13/1.34 (define @t836 () (= @t835 @t833)) % 1.13/1.34 (define @t837 () (@list @t830 @t826 @t495 @t128 @t277 @t65)) % 1.13/1.34 (define @t838 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t277 @t826)) % 1.13/1.34 (define @t839 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t128)) % 1.13/1.34 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t128 @t806)) % 1.13/1.34 (define @t841 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 @t826) @t830) @t835)) % 1.13/1.34 (define @t842 () (@list @t128 @t277 @t830 @t826 @t65)) % 1.13/1.34 (define @t843 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t128)) % 1.13/1.34 (define @t844 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t495)) % 1.13/1.34 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t833)) % 1.13/1.34 (define @t846 () (@list @t830 @t826 @t495)) % 1.13/1.34 (define @t847 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.13/1.34 (define @t848 () (tptp.hAPP @t755 @t26)) % 1.13/1.34 (define @t849 () (= @t26 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t128 (tptp.hAPP @t848 @t277)))) % 1.13/1.34 (define @t850 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t26)) % 1.13/1.34 (define @t851 () (@list @t277 @t128 @t26)) % 1.13/1.34 (define @t852 () (tptp.hAPP @t755 @t391)) % 1.13/1.34 (define @t853 () (tptp.hAPP @t852 @t115)) % 1.13/1.34 (define @t854 () (tptp.hAPP @t755 @t393)) % 1.13/1.34 (define @t855 () (tptp.hAPP @t854 @t115)) % 1.13/1.34 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t393 @t391)) % 1.13/1.34 (define @t857 () (tptp.hAPP @t755 @t115)) % 1.13/1.34 (define @t858 () (tptp.hAPP @t857 @t391)) % 1.13/1.34 (define @t859 () (tptp.hAPP @t857 @t393)) % 1.13/1.34 (define @t860 () (@list @t391 @t393 @t115)) % 1.13/1.34 (define @t861 () (tptp.hAPP @t755 @t117)) % 1.13/1.34 (define @t862 () (tptp.hAPP @t755 @t323)) % 1.13/1.34 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t324 @t325)) % 1.13/1.34 (define @t864 () (tptp.c_Divides_Odiv__class_Odiv @t81 @t56 @t54)) % 1.13/1.34 (define @t865 () (tptp.c_Polynomial_Osmult @t27 @t26 @t56)) % 1.13/1.34 (define @t866 () (@list @t54 @t56 @t26 @t27)) % 1.13/1.34 (define @t867 () (tptp.hAPP @t279 @t54)) % 1.13/1.34 (define @t868 () (tptp.hAPP @t867 @t117)) % 1.13/1.34 (define @t869 () (@var "V_one_2" $$unsorted)) % 1.13/1.34 (define @t870 () (@var "V_times_2" $$unsorted)) % 1.13/1.34 (define @t871 () (tptp.c_Polynomial_Osmult @t27 @t26 @t54)) % 1.13/1.34 (define @t872 () (tptp.class_Rings_Ocomm__ring__1 @t27)) % 1.13/1.34 (define @t873 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t26)) % 1.13/1.34 (define @t874 () (@list @t26 @t173)) % 1.13/1.34 (define @t875 () (@var "V_i_2" $$unsorted)) % 1.13/1.34 (define @t876 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t875 @t500)) % 1.13/1.34 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t101)) % 1.13/1.34 (define @t878 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t101 @t99)) % 1.13/1.34 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t878)) % 1.13/1.34 (define @t880 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t99)) % 1.13/1.34 (define @t881 () (@list @t101 @t99)) % 1.13/1.34 (define @t882 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t495)) % 1.13/1.34 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t26)) % 1.13/1.34 (define @t884 () (@list @t65 @t495 @t26)) % 1.13/1.34 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t806)) % 1.13/1.34 (define @t886 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t806)) % 1.13/1.34 (define @t887 () (= @t821 @t806)) % 1.13/1.34 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t65)) % 1.13/1.34 (define @t889 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t806)) % 1.13/1.34 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t65)) % 1.13/1.34 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t26 @t806)) % 1.13/1.34 (define @t892 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t806)) % 1.13/1.34 (define @t893 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t26)) % 1.13/1.34 (define @t894 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t480 @t65)) % 1.13/1.34 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t26 @t480)) % 1.13/1.34 (define @t896 () (@list @t65 @t480 @t26)) % 1.13/1.34 (define @t897 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t878 @t806)) % 1.13/1.34 (define @t898 () (@list @t65)) % 1.13/1.34 (define @t899 () (@list @t26)) % 1.13/1.34 (define @t900 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t54)) % 1.13/1.34 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t56)) % 1.13/1.34 (define @t902 () (tptp.c_Polynomial_Omonom @t27 @t101 @t419)) % 1.13/1.34 (define @t903 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t847 @t117)) % 1.13/1.34 (define @t904 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t115 @t117)) % 1.13/1.34 (define @t905 () (@var "V_z_H" $$unsorted)) % 1.13/1.34 (define @t906 () (@var "V_w_H" $$unsorted)) % 1.13/1.34 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t115 @t117)) % 1.13/1.34 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t117 @t115)) % 1.13/1.34 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t324 @t325)) % 1.13/1.34 (define @t910 () (@list @t190)) % 1.13/1.34 (define @t911 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t190)) % 1.13/1.34 (define @t912 () (@list @t190 @t187)) % 1.13/1.34 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t190 @t847))) % 1.13/1.34 (define @t914 () (tptp.c_Polynomial_Omonom @t27 @t65 @t173)) % 1.13/1.34 (define @t915 () (tptp.c_Polynomial_Omonom @t27 @t26 @t173)) % 1.13/1.34 (define @t916 () (@var "V_r2" $$unsorted)) % 1.13/1.34 (define @t917 () (@var "V_r1" $$unsorted)) % 1.13/1.34 (define @t918 () (tptp.c_Complex_Orcis @t916 @t65)) % 1.13/1.34 (define @t919 () (tptp.c_Complex_Orcis @t917 @t26)) % 1.13/1.34 (define @t920 () (@list @t65 @t916 @t26 @t917)) % 1.13/1.34 (define @t921 () (@var "B_r" $$unsorted)) % 1.13/1.34 (define @t922 () (tptp.c_Transcendental_Oln @t56)) % 1.13/1.34 (define @t923 () (tptp.c_Transcendental_Oln @t186)) % 1.13/1.34 (define @t924 () (tptp.c_Transcendental_Oln @t37)) % 1.13/1.34 (define @t925 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t186)) % 1.13/1.34 (define @t926 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t37)) % 1.13/1.34 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t922)) % 1.13/1.34 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t922)) % 1.13/1.34 (define @t929 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t45 @t56)) % 1.13/1.34 (define @t930 () (tptp.c_Transcendental_Oln @t54)) % 1.13/1.34 (define @t931 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t351)) % 1.13/1.34 (define @t932 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t351)) % 1.13/1.34 (define @t933 () (tptp.hBOOL (tptp.hAPP @t681 @t744))) % 1.13/1.34 (define @t934 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t419 @t500)) % 1.13/1.34 (define @t935 () (tptp.hBOOL (tptp.hAPP @t813 @t934))) % 1.13/1.34 (define @t936 () (@list @t419 @t585 @t500)) % 1.13/1.34 (define @t937 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t65 @t121)) % 1.13/1.34 (define @t938 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t65 @t121)) % 1.13/1.34 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t65)) % 1.13/1.34 (define @t940 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t26 @t65)) % 1.13/1.34 (define @t941 () (@list @t485 @t427)) % 1.13/1.34 (define @t942 () (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t65)) % 1.13/1.34 (define @t943 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t944 () (tptp.c_Divides_Odiv__class_Omod @t27 @t439 @t121)) % 1.13/1.34 (define @t945 () (tptp.c_Divides_Odiv__class_Omod @t27 @t65 @t121)) % 1.13/1.34 (define @t946 () (= @t945 (tptp.c_Divides_Odiv__class_Omod @t27 @t495 @t121))) % 1.13/1.34 (define @t947 () (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t121)) % 1.13/1.34 (define @t948 () (= @t947 (tptp.c_Divides_Odiv__class_Omod @t27 @t480 @t121))) % 1.13/1.34 (define @t949 () (@list @t495 @t65 @t480 @t121 @t26 @t27)) % 1.13/1.34 (define @t950 () (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t947 @t65) @t121)) % 1.13/1.34 (define @t951 () (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t945) @t121)) % 1.13/1.34 (define @t952 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t940 @t65)) % 1.13/1.34 (define @t953 () (@list @t26 @t65)) % 1.13/1.34 (define @t954 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t940)) % 1.13/1.34 (define @t955 () (=> @t424 (= @t943 @t174))) % 1.13/1.34 (define @t956 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t65 @t121)) % 1.13/1.34 (define @t957 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t65 @t121)) % 1.13/1.34 (define @t958 () (tptp.c_Divides_Odiv__class_Omod @t27 @t69 @t121)) % 1.13/1.34 (define @t959 () (tptp.hAPP @t60 @t947)) % 1.13/1.34 (define @t960 () (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.hAPP @t959 @t65) @t121)) % 1.13/1.34 (define @t961 () (tptp.hAPP @t848 @t65)) % 1.13/1.34 (define @t962 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t961 @t121)) % 1.13/1.34 (define @t963 () (tptp.hAPP @t848 @t937)) % 1.13/1.34 (define @t964 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t963 @t121)) % 1.13/1.34 (define @t965 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t174)) % 1.13/1.34 (define @t966 () (@list @t54 @t174 @t56)) % 1.13/1.34 (define @t967 () (tptp.hAPP (tptp.hAPP @t60 @t784) @t65)) % 1.13/1.34 (define @t968 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t967 @t942)) % 1.13/1.34 (define @t969 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t66 @t784) @t942)) % 1.13/1.34 (define @t970 () (= @t940 @t26)) % 1.13/1.34 (define @t971 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t940 @t806)) % 1.13/1.34 (define @t972 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t940)) % 1.13/1.34 (define @t973 () (tptp.hAPP @t503 @t26)) % 1.13/1.34 (define @t974 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 @t821) @t940)) % 1.13/1.34 (define @t975 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t323)) % 1.13/1.34 (define @t976 () (tptp.hBOOL (tptp.hAPP @t585 @t744))) % 1.13/1.34 (define @t977 () (@list @t277 @t65 @t128 @t121)) % 1.13/1.34 (define @t978 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t277 @t121)) @t128)) % 1.13/1.34 (define @t979 () (@list @t277 @t128 @t65 @t121)) % 1.13/1.34 (define @t980 () (@var "V_q_1" $$unsorted)) % 1.13/1.34 (define @t981 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t737 @t738)) % 1.13/1.34 (define @t982 () (tptp.c_Divides_Odiv__class_Omod @t81 @t56 @t54)) % 1.13/1.34 (define @t983 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t101 @t99)) % 1.13/1.34 (define @t984 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t65)) % 1.13/1.34 (define @t985 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t65)) % 1.13/1.34 (define @t986 () (tptp.c_Divides_Odiv__class_Omod @t27 @t985 @t121)) % 1.13/1.34 (define @t987 () (tptp.class_Divides_Oring__div @t27)) % 1.13/1.34 (define @t988 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t323 @t174)) % 1.13/1.34 (define @t989 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t323 @t173)) % 1.13/1.34 (define @t990 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t323 (tptp.c_Divides_Odiv__class_Omod @t27 @t174 @t173))) % 1.13/1.34 (define @t991 () (@list @t173 @t174 @t323 @t27)) % 1.13/1.34 (define @t992 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t121 @t65)) % 1.13/1.34 (define @t993 () (tptp.hAPP @t729 @t173)) % 1.13/1.34 (define @t994 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t56 @t54)) % 1.13/1.34 (define @t995 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t54)) % 1.13/1.34 (define @t996 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t65 @t121)) % 1.13/1.34 (define @t997 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t69 @t121)) % 1.13/1.34 (define @t998 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t121)) % 1.13/1.34 (define @t999 () (tptp.class_Rings_Odvd @t27)) % 1.13/1.34 (define @t1000 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t142)) % 1.13/1.34 (define @t1001 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t65 @t26)) % 1.13/1.34 (define @t1002 () (tptp.c_RealVector_Onorm__class_Onorm @t27 @t985)) % 1.13/1.34 (define @t1003 () (tptp.c_Groups_Ominus__class_Ominus @t81 @t269 @t277)) % 1.13/1.34 (define @t1004 () (tptp.class_Rings_Ocomm__ring @t27)) % 1.13/1.34 (define @t1005 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t101 @t99)) % 1.13/1.34 (define @t1006 () (= @t1005 (tptp.c_Groups_Ominus__class_Ominus @t27 @t155 @t485))) % 1.13/1.34 (define @t1007 () (tptp.class_Groups_Oab__group__add @t27)) % 1.13/1.34 (define @t1008 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t186 @t37)) % 1.13/1.34 (define @t1009 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t186)) % 1.13/1.34 (define @t1010 () (and @t1009 (not @t1008))) % 1.13/1.34 (define @t1011 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t65 @t26)) % 1.13/1.34 (define @t1012 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t26 @t65)) % 1.13/1.34 (define @t1013 () (and @t1012 (not @t1011))) % 1.13/1.34 (define @t1014 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t56 @t54)) % 1.13/1.34 (define @t1015 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t54 @t56)) % 1.13/1.34 (define @t1016 () (and @t1014 (not @t1015))) % 1.13/1.34 (define @t1017 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t26 @t121)) % 1.13/1.34 (define @t1018 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t65 @t121)) % 1.13/1.34 (define @t1019 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t173 @t174)) % 1.13/1.34 (define @t1020 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t1021 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t56 @t117)) % 1.13/1.34 (define @t1022 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t54 @t117)) % 1.13/1.34 (define @t1023 () (and @t1017 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t121 @t26)))) % 1.13/1.34 (define @t1024 () (and @t1021 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t117 @t56)))) % 1.13/1.34 (define @t1025 () (=> (and @t1022 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t117 @t54))) @t1024)) % 1.13/1.34 (define @t1026 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t427 @t419)) % 1.13/1.34 (define @t1027 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t511 @t510)) % 1.13/1.34 (define @t1028 () (tptp.class_Groups_Oordered__ab__group__add @t27)) % 1.13/1.34 (define @t1029 () (tptp.class_Groups_Ogroup__add @t27)) % 1.13/1.34 (define @t1030 () (= @t1005 @t32)) % 1.13/1.34 (define @t1031 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t49 @t248)) % 1.13/1.34 (define @t1032 () (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t26))) % 1.13/1.34 (define @t1033 () (tptp.hAPP @t1032 @t65)) % 1.13/1.34 (define @t1034 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t54 @t65)) % 1.13/1.34 (define @t1035 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t62 @t69)) % 1.13/1.34 (define @t1036 () (tptp.class_Rings_Oring @t27)) % 1.13/1.34 (define @t1037 () (@list @t65 @t26 @t54 @t56 @t27)) % 1.13/1.34 (define @t1038 () (@var "V_e_2" $$unsorted)) % 1.13/1.34 (define @t1039 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t27 @t99 @t101)) @t1038) @t485)) % 1.13/1.34 (define @t1040 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t167 @t1038) @t485)) % 1.13/1.34 (define @t1041 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t103 @t1038) @t155)) % 1.13/1.34 (define @t1042 () (= @t1041 @t1040)) % 1.13/1.34 (define @t1043 () (@list @t485 @t99 @t155 @t1038 @t101 @t27)) % 1.13/1.34 (define @t1044 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t60 @t1005) @t1038) @t155)) % 1.13/1.34 (define @t1045 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t56 @t54)) % 1.13/1.34 (define @t1046 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t54 @t56)) % 1.13/1.34 (define @t1047 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t65 @t26)) % 1.13/1.34 (define @t1048 () (tptp.hAPP @t60 @t1047)) % 1.13/1.34 (define @t1049 () (or @t199 @t983)) % 1.13/1.34 (define @t1050 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t99 @t101)) % 1.13/1.34 (define @t1051 () (not @t102)) % 1.13/1.34 (define @t1052 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t1041 @t1040)) % 1.13/1.34 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless @t27 @t1041 @t1040)) % 1.13/1.34 (define @t1054 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t323 @t173)) % 1.13/1.34 (define @t1055 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t65 @t351)) % 1.13/1.34 (define @t1056 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t121)) % 1.13/1.34 (define @t1057 () (@var "V_h" $$unsorted)) % 1.13/1.34 (define @t1058 () (@var "V_t_2" $$unsorted)) % 1.13/1.34 (define @t1059 () (@var "V_D_2" $$unsorted)) % 1.13/1.34 (define @t1060 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t174 @t173)) % 1.13/1.34 (define @t1061 () (= @t943 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1060 @t173))) % 1.13/1.34 (define @t1062 () (=> (not @t424) @t1061)) % 1.13/1.34 (define @t1063 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t174 @t173)) % 1.13/1.34 (define @t1064 () (@var "V_f" $$unsorted)) % 1.13/1.34 (define @t1065 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t56 @t54) @t174)) % 1.13/1.34 (define @t1066 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t393 @t391)) % 1.13/1.34 (define @t1067 () (tptp.c_Rings_Odvd__class_Odvd @t81 @t269 @t277)) % 1.13/1.34 (define @t1068 () (@var "T_1" $$unsorted)) % 1.13/1.34 (define @t1069 () (tptp.tc_Polynomial_Opoly @t1068)) % 1.13/1.34 (define @t1070 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1068)) % 1.13/1.34 (define @t1071 () (@list @t1068)) % 1.13/1.34 (define @t1072 () (@var "T_2" $$unsorted)) % 1.13/1.34 (define @t1073 () (tptp.tc_fun @t1072 @t1068)) % 1.13/1.34 (define @t1074 () (@list @t1072 @t1068)) % 1.13/1.34 (define @t1075 () (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (define @t1076 () (tptp.class_Rings_Oidom @t1068)) % 1.13/1.34 (define @t1077 () (tptp.class_Rings_Olinordered__idom @t1068)) % 1.13/1.34 (define @t1078 () (tptp.class_Rings_Ocomm__semiring__0 @t1068)) % 1.13/1.34 (define @t1079 () (tptp.class_Rings_Ocomm__semiring__1 @t1068)) % 1.13/1.34 (define @t1080 () (tptp.class_Groups_Ocomm__monoid__add @t1068)) % 1.13/1.34 (define @t1081 () (tptp.class_Fields_Ofield @t1068)) % 1.13/1.34 (define @t1082 () (tptp.class_Groups_Oab__group__add @t1068)) % 1.13/1.34 (define @t1083 () (tptp.class_Rings_Ocomm__ring__1 @t1068)) % 1.13/1.34 (define @t1084 () (tptp.class_Rings_Ocomm__ring @t1068)) % 1.13/1.34 (define @t1085 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t15 @t9))) % 1.13/1.34 (define @t1086 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1085 @t45)) % 1.13/1.34 (define @t1087 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t12)) % 1.13/1.34 (define @t1088 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1087 @t45)) % 1.13/1.34 (define @t1089 () (= @t26 (tptp.c_Rings_Oinverse__class_Odivide @t27 @t143 @t121))) % 1.13/1.34 (define @t1090 () (= @t32 @t121)) % 1.13/1.34 (define @t1091 () (not @t35)) % 1.13/1.34 (define @t1092 () (not (= @t143 @t143))) % 1.13/1.34 (define @t1093 () (or @t1091 @t1090 @t1092 @t1089)) % 1.13/1.34 (define @t1094 () (@list @t26 @t121 @t27)) % 1.13/1.34 (define @t1095 () (not @t184)) % 1.13/1.34 (define @t1096 () (or @t1095 @t1091 @t1090 @t1095 @t176)) % 1.13/1.34 (define @t1097 () (or @t1091 @t1090 @t1095 @t176)) % 1.13/1.34 (define @t1098 () (forall @t898 @t1097)) % 1.13/1.34 (define @t1099 () (forall @t1094 @t1098)) % 1.13/1.34 (define @t1100 () (forall (@list @t26 @t121 @t27 @t65) @t1097)) % 1.13/1.34 (define @t1101 () (or @t1090 @t1095 @t176)) % 1.13/1.34 (define @t1102 () (=> @t184 @t176)) % 1.13/1.34 (define @t1103 () (not @t1090)) % 1.13/1.34 (define @t1104 () (=> @t1103 @t1102)) % 1.13/1.34 (define @t1105 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t14 @t9)) % 1.13/1.34 (define @t1106 () (= @t12 @t1105)) % 1.13/1.34 (define @t1107 () (= @t7 @t9)) % 1.13/1.34 (define @t1108 () (not @t1075)) % 1.13/1.34 (define @t1109 () (or @t1108 @t1107 @t1106)) % 1.13/1.34 (define @t1110 () (= @t45 @t717)) % 1.13/1.34 (define @t1111 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1085 @t717)) % 1.13/1.34 (define @t1112 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t14 @t24)) % 1.13/1.34 (define @t1113 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1087 @t717)) % 1.13/1.34 (define @t1114 () (and @t16 @t25 @t1086 @t1110 @t1106)) % 1.13/1.34 (define @t1115 () (not @t1106)) % 1.13/1.34 (define @t1116 () (not @t1086)) % 1.13/1.34 (define @t1117 () (not @t1110)) % 1.13/1.34 (define @t1118 () (not @t25)) % 1.13/1.34 (define @t1119 () (not @t16)) % 1.13/1.34 (define @t1120 () (not @t1088)) % 1.13/1.34 (define @t1121 () (and @t16 @t25 @t1110 @t1116 @t1106)) % 1.13/1.34 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.13/1.34 (assume @p2 (not (= @t9 @t7))) % 1.13/1.34 (assume @p3 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)))) % 1.13/1.34 (assume @p4 @t16) % 1.13/1.34 (assume @p5 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t8))) % 1.13/1.34 (assume @p6 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t11))) % 1.13/1.34 (assume @p7 (= @t17 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t10))) % 1.13/1.34 (assume @p8 (not (forall @t19 (= (tptp.hAPP @t11 @t3) (tptp.hAPP @t11 @t18))))) % 1.13/1.34 (assume @p9 (= @t21 @t20)) % 1.13/1.34 (assume @p10 (forall @t23 (= (tptp.hAPP @t8 @t22) (tptp.hAPP (tptp.hAPP @t13 (tptp.hAPP @t11 @t22)) @t9)))) % 1.13/1.34 (assume @p11 @t25) % 1.13/1.34 (assume @p12 (forall @t36 (=> @t35 (=> @t34 @t31)))) % 1.13/1.34 (assume @p13 (forall @t41 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t39) (and @t38 (tptp.c_Orderings_Oord__class_Oless @t27 @t37 @t28)))))) % 1.13/1.34 (assume @p14 (forall @t36 (=> @t44 (=> @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t30)))))) % 1.13/1.34 (assume @p15 (forall @t47 (=> @t46 (= (tptp.c_RealVector_Onorm__class_Onorm @t27 @t28) @t45)))) % 1.13/1.34 (assume @p16 (forall @t36 (=> @t48 @t31))) % 1.13/1.34 (assume @p17 (forall @t36 (=> @t35 @t31))) % 1.13/1.34 (assume @p18 (forall @t36 (=> @t51 (=> @t34 @t50)))) % 1.13/1.34 (assume @p19 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t52))) % 1.13/1.34 (assume @p20 (= @t17 @t53)) % 1.13/1.34 (assume @p21 (forall @t64 (=> @t51 (= @t63 @t59)))) % 1.13/1.34 (assume @p22 (forall @t71 (=> @t70 (= @t69 @t67)))) % 1.13/1.34 (assume @p23 (forall @t79 (=> @t70 (= @t78 (tptp.hAPP @t76 (tptp.hAPP @t74 @t72)))))) % 1.13/1.34 (assume @p24 (forall @t79 (=> @t70 (= @t78 (tptp.hAPP @t80 @t72))))) % 1.13/1.34 (assume @p25 (forall @t87 (=> @t86 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t27 @t83) @t85) @t84)))) % 1.13/1.34 (assume @p26 (forall @t92 (=> @t70 (= @t91 (tptp.hAPP @t74 (tptp.hAPP @t89 @t75)))))) % 1.13/1.34 (assume @p27 (forall @t92 (=> @t70 (= @t91 (tptp.hAPP @t80 @t88))))) % 1.13/1.34 (assume @p28 (forall @t94 (=> @t70 (= @t93 (tptp.hAPP @t74 (tptp.hAPP @t89 @t77)))))) % 1.13/1.34 (assume @p29 (forall @t94 (=> @t70 (= @t93 (tptp.hAPP @t76 (tptp.hAPP @t90 @t72)))))) % 1.13/1.34 (assume @p30 (forall @t94 (=> @t70 (= @t93 (tptp.hAPP @t80 (tptp.hAPP @t89 @t72)))))) % 1.13/1.34 (assume @p31 (forall @t71 (=> @t97 (=> @t96 (or @t33 @t95))))) % 1.13/1.34 (assume @p32 (forall @t71 (=> @t97 (=> @t34 (=> @t98 (not @t96)))))) % 1.13/1.34 (assume @p33 (forall @t105 (=> (tptp.class_Rings_Oring__no__zero__divisors @t27) (= (= @t104 @t32) (or @t102 @t100))))) % 1.13/1.34 (assume @p34 (forall @t107 (=> @t106 (= (tptp.hAPP @t61 @t32) @t32)))) % 1.13/1.34 (assume @p35 (forall @t36 (=> @t106 @t108))) % 1.13/1.34 (assume @p36 (forall @t36 (=> @t70 @t108))) % 1.13/1.34 (assume @p37 (forall @t36 (=> @t109 @t108))) % 1.13/1.34 (assume @p38 (forall @t111 (=> @t106 (= (tptp.hAPP @t110 @t54) @t32)))) % 1.13/1.34 (assume @p39 (forall (@list @t65 @t27) (=> @t106 (= (tptp.hAPP @t110 @t65) @t32)))) % 1.13/1.34 (assume @p40 (forall @t36 (=> @t70 @t112))) % 1.13/1.34 (assume @p41 (forall @t36 (=> @t109 @t112))) % 1.13/1.34 (assume @p42 (forall @t36 (=> @t70 @t113))) % 1.13/1.34 (assume @p43 (forall @t36 (=> @t70 @t114))) % 1.13/1.34 (assume @p44 (forall (@list @t115 @t117 @t54 @t56 @t27) (=> @t120 (= (tptp.hAPP (tptp.hAPP @t60 @t119) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t117 @t115)) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t118 (tptp.hAPP @t116 @t115)))))) % 1.13/1.34 (assume @p45 (forall @t123 (=> @t35 (= (tptp.hAPP @t68 @t122) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t69 @t121))))) % 1.13/1.34 (assume @p46 (forall @t71 (=> @t120 (= @t126 (tptp.hAPP @t125 @t124))))) % 1.13/1.34 (assume @p47 (forall @t132 (=> @t106 (=> @t131 (=> @t130 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t63 (tptp.hAPP @t129 @t127))))))) % 1.13/1.34 (assume @p48 (forall (@list @t2 @t133 @t27) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t27 @t133 @t2) (forall @t19 (= @t5 (tptp.hAPP @t2 @t18)))))) % 1.13/1.34 (assume @p49 (forall @t141 (=> @t140 (=> @t139 (=> @t138 @t137))))) % 1.13/1.34 (assume @p50 (forall @t141 (=> @t140 (=> @t139 (=> @t138 @t144))))) % 1.13/1.34 (assume @p51 (forall @t123 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t27) @t147))) % 1.13/1.34 (assume @p52 (forall @t123 (=> @t148 @t147))) % 1.13/1.34 (assume @p53 (forall @t123 (=> @t148 (=> @t146 (=> @t145 @t144))))) % 1.13/1.34 (assume @p54 (forall @t71 (=> @t140 (=> @t151 (=> @t150 @t149))))) % 1.13/1.34 (assume @p55 (forall @t71 (=> @t148 (=> @t151 (=> @t153 @t152))))) % 1.13/1.34 (assume @p56 (forall @t161 (=> @t140 (=> @t160 (= @t159 @t154))))) % 1.13/1.34 (assume @p57 (forall @t163 (=> @t148 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t67) @t162)))) % 1.13/1.34 (assume @p58 (forall @t71 (=> @t148 (=> @t149 @t162)))) % 1.13/1.34 (assume @p59 (forall @t71 (=> @t148 (=> @t43 (=> @t150 (tptp.c_Orderings_Oord__class_Oless @t27 @t67 @t32)))))) % 1.13/1.34 (assume @p60 (forall @t71 (=> @t148 (=> @t43 (=> @t150 @t152))))) % 1.13/1.34 (assume @p61 (forall @t71 (=> @t148 (=> @t43 (=> @t153 @t149))))) % 1.13/1.34 (assume @p62 (forall @t161 (=> @t140 (=> @t165 (= @t159 @t164))))) % 1.13/1.34 (assume @p63 (forall @t161 (=> @t140 (= @t159 @t166)))) % 1.13/1.34 (assume @p64 (forall @t170 (=> @t140 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t169 @t168) @t166)))) % 1.13/1.34 (assume @p65 (forall @t36 (=> @t172 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t171 @t32))))) % 1.13/1.34 (assume @p66 (forall (@list @t173 @t174 @t27) (=> @t175 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t174) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t173) (tptp.c_Orderings_Oord__class_Oless @t27 @t28 (tptp.hAPP (tptp.hAPP @t60 @t174) @t173))))))) % 1.13/1.34 (assume @p67 @t183) % 1.13/1.34 (assume @p68 (forall @t185 (=> @t35 (=> @t179 (=> @t184 (= @t122 @t26)))))) % 1.13/1.34 (assume @p69 (forall (@list @t187 @t37 @t190 @t186 @t27) (=> @t48 (=> @t194 (=> (not (= @t190 @t32)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t37 @t186) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t187 @t190)) (= @t192 @t189))))))) % 1.13/1.34 (assume @p70 (forall @t182 (=> @t120 (=> @t179 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t136 @t135) @t195))))) % 1.13/1.34 (assume @p71 (forall @t182 (=> @t120 (=> @t179 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t143 @t142) @t195))))) % 1.13/1.34 (assume @p72 (forall @t201 (=> @t35 (=> @t200 (= @t198 @t196))))) % 1.13/1.34 (assume @p73 (forall @t161 (=> @t35 (=> @t200 (= @t203 @t202))))) % 1.13/1.34 (assume @p74 (forall @t205 (=> @t120 (= @t198 (and (=> @t200 @t196) @t204))))) % 1.13/1.34 (assume @p75 (forall @t206 (=> @t120 (= @t203 (and (=> @t200 @t202) @t204))))) % 1.13/1.34 (assume @p76 (forall @t71 (=> @t35 (=> @t34 (=> @t98 (= @t126 (tptp.hAPP (tptp.hAPP @t60 @t124) @t30))))))) % 1.13/1.34 (assume @p77 (forall @t71 (=> @t35 (=> (= @t69 @t28) (= @t30 @t65))))) % 1.13/1.34 (assume @p78 (forall @t71 (=> @t35 @t207))) % 1.13/1.34 (assume @p79 (forall @t71 (=> @t48 @t207))) % 1.13/1.34 (assume @p80 (forall @t107 (=> @t209 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t208))))) % 1.13/1.34 (assume @p81 (forall @t123 (=> @t44 (=> @t146 (=> @t138 @t212))))) % 1.13/1.34 (assume @p82 (forall @t141 (=> @t44 (=> @t139 (=> @t145 @t212))))) % 1.13/1.34 (assume @p83 (forall @t201 (=> @t44 (=> @t160 (= @t214 @t213))))) % 1.13/1.34 (assume @p84 (forall @t161 (=> @t44 (=> @t160 (= @t216 @t215))))) % 1.13/1.34 (assume @p85 (forall @t220 (=> @t44 (=> @t219 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t218 @t56) (tptp.c_Orderings_Oord__class_Oless @t27 @t117 @t119)))))) % 1.13/1.34 (assume @p86 (forall @t221 (=> @t44 (=> @t219 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t218) (tptp.c_Orderings_Oord__class_Oless @t27 @t119 @t117)))))) % 1.13/1.34 (assume @p87 (forall @t201 (=> @t44 (=> @t165 (= @t214 @t215))))) % 1.13/1.34 (assume @p88 (forall @t161 (=> @t44 (=> @t165 (= @t216 @t213))))) % 1.13/1.34 (assume @p89 (forall @t205 (=> @t40 (= @t214 (and (=> @t165 @t215) (=> @t224 (and (=> @t160 @t213) (=> @t223 @t222)))))))) % 1.13/1.34 (assume @p90 (forall @t206 (=> @t40 (= @t216 (and (=> @t165 @t213) (=> @t224 (and (=> @t160 @t215) (=> @t223 @t225)))))))) % 1.13/1.34 (assume @p91 (forall @t36 (=> @t35 @t226))) % 1.13/1.34 (assume @p92 (forall @t36 (=> @t48 @t226))) % 1.13/1.34 (assume @p93 (forall @t36 (=> @t35 (=> @t34 (= (tptp.hAPP @t68 @t30) @t28))))) % 1.13/1.34 (assume @p94 (forall @t64 (=> @t233 @t232))) % 1.13/1.34 (assume @p95 (forall @t71 (=> @t236 (=> @t235 @t234)))) % 1.13/1.34 (assume @p96 (forall @t105 (=> @t236 (= (= @t238 (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t99)) @t237)))) % 1.13/1.34 (assume @p97 (forall @t36 (=> @t236 @t239))) % 1.13/1.34 (assume @p98 (forall @t47 (=> @t240 (not (= @t32 @t28))))) % 1.13/1.34 (assume @p99 (forall @t47 (=> @t240 (not (= @t28 @t32))))) % 1.13/1.34 (assume @p100 (forall @t36 (=> @t236 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t26 @t32) @t32)))) % 1.13/1.34 (assume @p101 (forall @t111 (=> @t241 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t32 @t54) @t32)))) % 1.13/1.34 (assume @p102 (forall @t36 (=> @t35 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t32 @t26) @t32)))) % 1.13/1.34 (assume @p103 (forall @t41 (=> @t209 (= (= @t243 @t208) @t242)))) % 1.13/1.34 (assume @p104 (forall @t47 (=> @t209 (= (tptp.c_RealVector_Onorm__class_Onorm @t27 @t32) @t208)))) % 1.13/1.34 (assume @p105 (forall @t71 (=> @t35 (=> @t235 (=> @t34 (=> @t98 @t234)))))) % 1.13/1.34 (assume @p106 (forall @t36 (=> @t35 (=> @t244 @t33)))) % 1.13/1.34 (assume @p107 (forall @t36 (=> @t35 (=> @t34 @t239)))) % 1.13/1.34 (assume @p108 (forall @t36 (=> @t35 (=> @t34 (not @t244))))) % 1.13/1.34 (assume @p109 (forall @t245 (=> @t236 (= (= @t238 @t32) @t102)))) % 1.13/1.34 (assume @p110 (forall @t47 (=> @t236 @t246))) % 1.13/1.34 (assume @p111 (forall @t47 (=> @t120 @t246))) % 1.13/1.34 (assume @p112 (forall @t36 (=> @t35 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t26 @t28) @t26)))) % 1.13/1.34 (assume @p113 (forall @t41 (=> @t120 (= (= @t39 @t28) @t247)))) % 1.13/1.34 (assume @p114 (forall @t47 (=> @t35 (= (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t28) @t28)))) % 1.13/1.34 (assume @p115 (forall @t71 (=> (and @t120 @t241) @t249))) % 1.13/1.34 (assume @p116 (forall @t71 (=> @t120 (= (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t195) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t65 @t26))))) % 1.13/1.34 (assume @p117 (forall @t36 (=> (and @t51 @t236) @t50))) % 1.13/1.34 (assume @p118 (forall @t47 (=> @t175 (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t28)))) % 1.13/1.34 (assume @p119 (forall @t47 (=> @t175 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t32))))) % 1.13/1.34 (assume @p120 (forall @t141 (=> @t44 (=> @t139 (=> @t138 @t251))))) % 1.13/1.34 (assume @p121 (forall @t123 (=> @t44 (=> @t146 (=> @t145 @t251))))) % 1.13/1.34 (assume @p122 (forall @t64 (=> @t44 (=> @t254 (=> @t253 @t252))))) % 1.13/1.34 (assume @p123 (forall @t64 (=> @t44 (=> @t254 (=> @t219 @t255))))) % 1.13/1.34 (assume @p124 (forall @t64 (=> @t44 (=> @t256 (=> @t253 @t255))))) % 1.13/1.34 (assume @p125 (forall @t64 (=> @t44 (=> @t256 (=> @t219 @t252))))) % 1.13/1.34 (assume @p126 (forall @t105 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t259 @t32) (or (and @t222 @t258) (and @t225 @t257)))))) % 1.13/1.34 (assume @p127 (forall @t105 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t259) (or (and @t222 @t257) (and @t225 @t258)))))) % 1.13/1.34 (assume @p128 (forall @t260 (=> @t35 (=> (not @t100) (= (= @t259 @t28) @t237))))) % 1.13/1.34 (assume @p129 (forall @t36 (=> @t35 @t262))) % 1.13/1.34 (assume @p130 (forall @t36 (=> @t236 (and (=> @t33 (= @t261 @t32)) @t262)))) % 1.13/1.34 (assume @p131 (forall @t71 (=> @t44 (=> @t263 (=> @t150 @t139))))) % 1.13/1.34 (assume @p132 (forall @t71 (=> @t44 (=> @t263 (=> @t43 @t139))))) % 1.13/1.34 (assume @p133 (forall @t36 (=> @t44 (=> @t264 (=> @t34 @t151))))) % 1.13/1.34 (assume @p134 (forall @t71 (=> @t44 (=> @t146 (=> @t150 @t265))))) % 1.13/1.34 (assume @p135 (forall @t71 (=> @t44 (=> @t146 (=> @t43 @t265))))) % 1.13/1.34 (assume @p136 (forall @t36 (=> @t44 (=> @t151 @t264)))) % 1.13/1.34 (assume @p137 (forall @t36 (=> @t44 (=> @t266 (=> @t34 @t43))))) % 1.13/1.34 (assume @p138 (forall @t36 (=> @t44 (=> @t43 @t266)))) % 1.13/1.34 (assume @p139 (forall @t245 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t238 @t32) @t225)))) % 1.13/1.34 (assume @p140 (forall @t245 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t238) @t222)))) % 1.13/1.34 (assume @p141 (forall @t41 (=> @t209 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t243) @t267)))) % 1.13/1.34 (assume @p142 (forall @t163 (=> @t241 (=> @t98 @t249)))) % 1.13/1.34 (assume @p143 (forall @t268 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t56 @t54) (tptp.hAPP (tptp.hAPP @t13 @t56) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t54))))) % 1.13/1.34 (assume @p144 (forall (@list @t56 @t269 @t26 @t27) (=> @t272 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t271) @t56) (tptp.hAPP @t68 @t270))))) % 1.13/1.34 (assume @p145 (forall @t273 (=> @t70 (= (tptp.c_Polynomial_Osmult @t27 @t28 @t269) @t269)))) % 1.13/1.34 (assume @p146 (forall @t275 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t26 @t274) (tptp.c_Polynomial_Osmult @t27 @t69 @t269))))) % 1.13/1.34 (assume @p147 (forall @t107 (=> @t70 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 (tptp.c_Groups_Oone__class_Oone @t81)) @t56) @t28)))) % 1.13/1.34 (assume @p148 (forall (@list @t83 @t101 @t27) (=> @t276 (= (= (tptp.c_Polynomial_Osmult @t27 @t101 @t83) @t82) (or @t102 @t84))))) % 1.13/1.34 (assume @p149 (forall @t273 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t32 @t269) @t82)))) % 1.13/1.34 (assume @p150 (forall @t282 (=> @t272 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t281) @t56) (tptp.hAPP (tptp.hAPP @t60 @t270) @t278))))) % 1.13/1.34 (assume @p151 (forall @t107 (=> @t272 (= (tptp.hAPP @t283 @t56) @t32)))) % 1.13/1.34 (assume @p152 (forall @t36 (=> @t284 @t113))) % 1.13/1.34 (assume @p153 (forall @t36 (=> @t285 @t113))) % 1.13/1.34 (assume @p154 (forall @t36 (=> @t284 @t114))) % 1.13/1.34 (assume @p155 (not @t287)) % 1.13/1.34 (assume @p156 (forall @t288 (=> @t272 (= (tptp.hAPP (tptp.hAPP @t279 @t82) @t277) @t82)))) % 1.13/1.34 (assume @p157 (forall @t273 (=> @t272 (= (tptp.hAPP @t280 @t82) @t82)))) % 1.13/1.34 (assume @p158 (forall (@list @t277 @t26 @t269 @t27) (=> @t272 (= (tptp.hAPP @t280 @t290) @t289)))) % 1.13/1.34 (assume @p159 (forall @t291 (=> @t272 (= (tptp.hAPP (tptp.hAPP @t279 @t271) @t277) @t289)))) % 1.13/1.34 (assume @p160 (forall @t41 (=> @t86 (= (= @t32 @t37) @t242)))) % 1.13/1.34 (assume @p161 (forall @t123 (=> (tptp.class_Groups_Oab__semigroup__mult @t27) (= (tptp.hAPP (tptp.hAPP @t60 @t69) @t121) (tptp.hAPP @t68 @t142))))) % 1.13/1.34 (assume @p162 (forall @t41 (=> (tptp.class_Groups_Oone @t27) (= (= @t28 @t37) @t247)))) % 1.13/1.34 (assume @p163 (forall (@list @t292 @t83 @t27) (=> @t294 (= (= @t293 (tptp.c_Polynomial_Opoly @t27 @t292)) (= @t83 @t292))))) % 1.13/1.34 (assume @p164 (forall @t87 (=> @t294 (= (= @t293 @t283) @t84)))) % 1.13/1.34 (assume @p165 (forall @t36 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t26 @t82) @t82)))) % 1.13/1.34 (assume @p166 (forall @t36 (=> @t285 @t114))) % 1.13/1.34 (assume @p167 (= @t286 @t9)) % 1.13/1.34 (assume @p168 (forall (@list @t83) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t83) @t53) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t295)) (exists @t23 (= (tptp.hAPP @t295 @t22) @t7)))))) % 1.13/1.34 (assume @p169 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t9) @t297))) % 1.13/1.34 (assume @p170 (forall @t301 (=> (not (= @t56 @t208)) (= (tptp.hAPP @t300 @t56) @t45)))) % 1.13/1.34 (assume @p171 (forall @t309 (=> @t308 (=> @t307 (=> @t306 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t300 @t54) (tptp.hAPP (tptp.hAPP @t58 @t304) @t302))))))) % 1.13/1.34 (assume @p172 (forall @t309 (=> @t308 (=> @t307 (=> @t306 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t58 @t54) @t299) (tptp.hAPP (tptp.hAPP @t58 @t302) @t304))))))) % 1.13/1.34 (assume @p173 (forall @t268 (= @t310 (tptp.hAPP @t305 (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t54))))) % 1.13/1.34 (assume @p174 (forall (@list @t311 @t312) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t312 @t311) (tptp.hAPP (tptp.hAPP @t58 @t312) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t311))))) % 1.13/1.34 (assume @p175 (forall @t298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t286) @t297))) % 1.13/1.34 (assume @p176 (forall @t6 (= (tptp.hAPP @t8 @t3) @t313))) % 1.13/1.34 (assume @p177 (forall @t318 (= @t317 (and @t316 @t315)))) % 1.13/1.34 (assume @p178 (forall @t318 (= @t316 (or @t317 @t314)))) % 1.13/1.34 (assume @p179 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t115 @t115))) % 1.13/1.34 (assume @p180 (forall @t322 (or @t321 @t320))) % 1.13/1.34 (assume @p181 (forall @t326 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t324 @t325) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t325 @t323) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t324 @t323))))) % 1.13/1.34 (assume @p182 (forall @t322 (=> @t321 (=> @t320 @t327)))) % 1.13/1.34 (assume @p183 (forall @t318 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t37 @t186)) (and (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t208) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t186)) (or @t328 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t186 @t208)))))) % 1.13/1.34 (assume @p184 (forall @t36 (=> @t172 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t171)))) % 1.13/1.34 (assume @p185 (forall @t105 (=> @t140 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t104) @t333)))) % 1.13/1.34 (assume @p186 (forall @t105 (=> @t140 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t104 @t32) @t334)))) % 1.13/1.34 (assume @p187 (forall @t71 (=> @t338 (=> @t337 (=> @t336 @t335))))) % 1.13/1.34 (assume @p188 (forall @t71 (=> @t338 (=> @t337 (=> @t340 @t339))))) % 1.13/1.34 (assume @p189 (forall @t71 (=> @t338 (=> @t337 (=> @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t67 @t32)))))) % 1.13/1.34 (assume @p190 (forall @t71 (=> @t338 (=> @t341 (=> @t336 @t339))))) % 1.13/1.34 (assume @p191 (forall @t71 (=> @t342 (=> @t341 (=> @t340 @t335))))) % 1.13/1.34 (assume @p192 (forall @t123 (=> @t346 (=> @t345 (=> @t344 @t343))))) % 1.13/1.34 (assume @p193 (forall @t123 (=> @t346 @t348))) % 1.13/1.34 (assume @p194 (forall @t123 (=> (tptp.class_Rings_Oordered__comm__semiring @t27) @t348))) % 1.13/1.34 (assume @p195 (forall @t141 (=> @t342 (=> @t350 (=> @t349 @t343))))) % 1.13/1.34 (assume @p196 (forall @t141 (=> @t342 (=> @t350 (=> @t349 @t347))))) % 1.13/1.34 (assume @p197 (forall @t355 (=> @t346 (=> @t345 (=> @t354 (=> @t337 @t353)))))) % 1.13/1.34 (assume @p198 (forall @t355 (=> @t346 (=> @t345 (=> @t354 (=> @t336 @t353)))))) % 1.13/1.34 (assume @p199 (forall @t71 (=> @t342 (=> (or (and @t337 @t336) (and @t341 @t340)) @t335)))) % 1.13/1.34 (assume @p200 (forall @t71 (=> @t338 (=> (or (and @t337 @t340) (and @t341 @t336)) @t339)))) % 1.13/1.34 (assume @p201 (forall @t47 (=> @t175 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t28)))) % 1.13/1.34 (assume @p202 (forall @t47 (=> @t175 (not (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t32))))) % 1.13/1.34 (assume @p203 (forall @t123 (=> @t40 (=> @t345 (=> @t349 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t122 @t250)))))) % 1.13/1.34 (assume @p204 (forall @t123 (=> @t40 (=> @t345 (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t250 @t122)))))) % 1.13/1.34 (assume @p205 (forall @t105 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t259 @t32) @t334)))) % 1.13/1.34 (assume @p206 (forall @t105 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t259) @t333)))) % 1.13/1.34 (assume @p207 (forall @t245 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t238 @t32) @t330)))) % 1.13/1.34 (assume @p208 (forall @t245 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t238) @t332)))) % 1.13/1.34 (assume @p209 (forall @t358 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t356 @t37) (tptp.hAPP @t356 @t186)) @t316)))) % 1.13/1.34 (assume @p210 (forall @t358 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t362 @t360) @t316)))) % 1.13/1.34 (assume @p211 (forall @t107 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t57)))) % 1.13/1.34 (assume @p212 (forall @t182 (=> @t148 (=> @t347 @t363)))) % 1.13/1.34 (assume @p213 (forall @t364 (=> @t148 (=> @t343 @t363)))) % 1.13/1.34 (assume @p214 (forall @t182 (=> @t148 @t366))) % 1.13/1.34 (assume @p215 (forall @t182 (=> @t367 @t366))) % 1.13/1.34 (assume @p216 (forall @t364 (=> @t148 @t368))) % 1.13/1.34 (assume @p217 (forall @t364 (=> @t367 @t368))) % 1.13/1.34 (assume @p218 (forall @t355 (=> @t148 (=> @t345 (=> @t371 (=> @t43 @t370)))))) % 1.13/1.34 (assume @p219 (forall @t355 (=> @t148 (=> @t146 (=> @t354 (=> @t337 (=> @t145 @t369))))))) % 1.13/1.34 (assume @p220 (forall @t355 (=> @t148 (=> @t146 (=> @t371 (=> @t337 @t370)))))) % 1.13/1.34 (assume @p221 (forall @t355 (=> @t148 (=> @t146 (=> @t371 (=> @t153 @t370)))))) % 1.13/1.34 (assume @p222 (forall @t161 (=> @t140 (=> @t160 (= @t372 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t99 @t101)))))) % 1.13/1.34 (assume @p223 (forall @t161 (=> @t140 (=> @t165 (= @t372 @t373))))) % 1.13/1.34 (assume @p224 (forall @t64 (=> @t233 (=> @t376 (=> @t375 (=> @t374 (tptp.c_Orderings_Oord__class_Oless__eq @t27 (tptp.hAPP @t116 @t56) @t56))))))) % 1.13/1.34 (assume @p225 (forall @t64 (=> @t233 (=> @t376 (=> @t375 (=> @t374 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t62 @t56))))))) % 1.13/1.34 (assume @p226 (forall @t64 (=> @t44 (=> @t378 (=> @t253 @t377))))) % 1.13/1.34 (assume @p227 (forall @t64 (=> @t44 (=> @t378 (=> @t219 @t379))))) % 1.13/1.34 (assume @p228 (forall @t385 (=> @t44 (=> @t376 (=> @t384 (=> @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t381 @t380)))))))) % 1.13/1.34 (assume @p229 (forall @t385 (=> @t44 (=> @t376 (=> @t228 (=> @t383 (=> @t382 @t386))))))) % 1.13/1.34 (assume @p230 (forall @t385 (=> @t44 (=> @t256 (=> @t384 (=> @t383 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t115 @t117) @t386))))))) % 1.13/1.34 (assume @p231 (forall @t64 (=> @t44 (=> @t376 (=> @t253 @t379))))) % 1.13/1.34 (assume @p232 (forall @t64 (=> @t44 (=> @t376 (=> @t219 @t377))))) % 1.13/1.34 (assume @p233 (forall @t71 (=> @t44 (=> @t387 (=> @t150 @t350))))) % 1.13/1.34 (assume @p234 (forall @t71 (=> @t44 (=> @t387 (=> @t43 @t350))))) % 1.13/1.34 (assume @p235 (forall @t71 (=> @t44 (=> @t345 (=> @t150 @t388))))) % 1.13/1.34 (assume @p236 (forall @t71 (=> @t44 (=> @t345 (=> @t43 @t388))))) % 1.13/1.34 (assume @p237 (forall @t41 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t39 @t28) (or @t389 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t37)))))) % 1.13/1.34 (assume @p238 (forall @t41 (=> @t209 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t243 @t208) @t242)))) % 1.13/1.34 (assume @p239 (forall @t64 (=> @t106 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t63 @t59)))) % 1.13/1.34 (assume @p240 (forall @t395 (= (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t394 @t391)) @t390) (tptp.hAPP @t394 (tptp.hAPP @t392 @t390))))) % 1.13/1.34 (assume @p241 (forall @t322 (= (tptp.hAPP @t396 @t115) (tptp.hAPP (tptp.hAPP @t58 @t115) @t117)))) % 1.13/1.34 (assume @p242 (forall @t123 (=> @t40 (=> @t345 (=> @t349 @t397))))) % 1.13/1.34 (assume @p243 (forall @t141 (=> @t44 (=> @t350 (=> @t344 @t397))))) % 1.13/1.34 (assume @p244 (forall @t201 (=> @t44 (=> @t160 (= @t399 @t398))))) % 1.13/1.34 (assume @p245 (forall @t161 (=> @t44 (=> @t160 (= @t401 @t400))))) % 1.13/1.34 (assume @p246 (forall @t220 (=> @t44 (=> @t219 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t218 @t56) (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t117 @t119)))))) % 1.13/1.34 (assume @p247 (forall @t221 (=> @t44 (=> @t219 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t218) (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t119 @t117)))))) % 1.13/1.34 (assume @p248 (forall @t201 (=> @t44 (=> @t165 (= @t399 @t400))))) % 1.13/1.34 (assume @p249 (forall @t161 (=> @t44 (=> @t165 (= @t401 @t398))))) % 1.13/1.34 (assume @p250 (forall @t205 (=> @t40 (= @t399 (and (=> @t165 @t400) (=> @t224 (and (=> @t160 @t398) (=> @t223 @t332)))))))) % 1.13/1.34 (assume @p251 (forall @t206 (=> @t40 (= @t401 (and (=> @t165 @t398) (=> @t224 (and (=> @t160 @t400) (=> @t223 @t330)))))))) % 1.13/1.34 (assume @p252 (forall @t36 (=> @t44 (=> @t43 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t30)))))) % 1.13/1.34 (assume @p253 (forall @t41 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t39 @t28) (or @t389 (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t37)))))) % 1.13/1.34 (assume @p254 (forall @t41 (=> @t40 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t39) (and @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t37 @t28)))))) % 1.13/1.34 (assume @p255 (forall @t405 (=> @t404 (= (= (tptp.hAPP @t403 @t101) (tptp.hAPP @t403 @t99)) @t237)))) % 1.13/1.34 (assume @p256 (forall @t405 (=> @t404 (= (= (tptp.hAPP (tptp.hAPP @t58 @t101) @t155) (tptp.hAPP (tptp.hAPP @t58 @t99) @t155)) @t237)))) % 1.13/1.34 (assume @p257 (not (= @t208 @t45))) % 1.13/1.34 (assume @p258 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t58 @t45) @t117) @t117))) % 1.13/1.34 (assume @p259 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t208) @t208)) % 1.13/1.34 (assume @p260 (forall @t358 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t362 @t360) @t317)))) % 1.13/1.34 (assume @p261 (forall @t268 (=> @t308 (=> @t408 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t407))))) % 1.13/1.34 (assume @p262 (forall (@list @t54 @t56 @t117) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t117) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t54) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t396 @t56) (tptp.hAPP @t396 @t54)))))) % 1.13/1.34 (assume @p263 (=> @t287 (exists @t23 (= (tptp.hAPP @t52 @t22) @t7)))) % 1.13/1.34 (assume @p264 (forall (@list @t56 @t128 @t27) (=> @t51 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t128 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t128) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.c_Rings_Oinverse__class_Oinverse @t27 @t56)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t128))))))) % 1.13/1.34 (assume @p265 (forall (@list @t54 @t56 @t121 @t27) (=> @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t121 @t208) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t57 (tptp.hAPP (tptp.hAPP @t58 @t121) @t55)) (= @t56 @t32)))))) % 1.13/1.34 (assume @p266 (forall @t409 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t85)))) % 1.13/1.34 (assume @p267 (forall @t412 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t411)) @t410))) % 1.13/1.34 (assume @p268 (forall (@list @t101 @t83 @t27) (=> @t276 (= (= (tptp.hAPP @t293 @t101) @t32) (or @t84 (not (= (tptp.c_Polynomial_Oorder @t27 @t101 @t83) @t85))))))) % 1.13/1.34 (assume @p269 (forall @t107 (=> @t413 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t56)))) % 1.13/1.34 (assume @p270 (forall @t111 (=> @t241 (exists @t418 (and @t417 @t416))))) % 1.13/1.34 (assume @p271 (forall @t409 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t85 @t173))) % 1.13/1.34 (assume @p272 (forall @t421 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t419 @t85) @t420))) % 1.13/1.34 (assume @p273 (forall @t425 (=> (or @t424 @t423) @t422))) % 1.13/1.34 (assume @p274 (forall @t425 (=> @t422 (=> @t426 @t424)))) % 1.13/1.34 (assume @p275 (forall @t425 (=> @t424 @t422))) % 1.13/1.34 (assume @p276 (forall @t431 (= @t430 (or @t429 @t428)))) % 1.13/1.34 (assume @p277 (forall @t431 (= @t429 (and @t430 @t432)))) % 1.13/1.34 (assume @p278 (forall (@list @t121 @t26 @t27) (=> @t70 (= @t434 @t433)))) % 1.13/1.34 (assume @p279 (forall @t437 (=> @t70 (= @t436 (tptp.c_Groups_Oplus__class_Oplus @t27 @t121 (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t351)))))) % 1.13/1.34 (assume @p280 (forall @t437 (=> @t70 (= @t436 (tptp.c_Groups_Oplus__class_Oplus @t27 @t434 @t351))))) % 1.13/1.34 (assume @p281 (forall @t123 (=> @t70 @t441))) % 1.13/1.34 (assume @p282 (forall @t123 (=> @t70 (= @t440 (tptp.c_Groups_Oplus__class_Oplus @t27 @t434 @t65))))) % 1.13/1.34 (assume @p283 (forall @t355 (=> @t70 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t439 @t435) (tptp.c_Groups_Oplus__class_Oplus @t27 @t434 @t442))))) % 1.13/1.34 (assume @p284 (forall @t123 (=> (tptp.class_Groups_Oab__semigroup__add @t27) @t441))) % 1.13/1.34 (assume @p285 (forall @t282 (=> @t272 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t443) @t56) (tptp.c_Groups_Oplus__class_Oplus @t27 @t270 @t278))))) % 1.13/1.34 (assume @p286 (forall @t275 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t439 @t269) (tptp.c_Groups_Oplus__class_Oplus @t81 @t271 @t274))))) % 1.13/1.34 (assume @p287 (forall @t206 (=> @t446 (= (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t101 @t99) @t445) @t444)))) % 1.13/1.34 (assume @p288 (forall (@list @t155 @t101 @t99 @t27) (=> @t446 (= (= @t448 @t447) @t444)))) % 1.13/1.34 (assume @p289 (forall @t123 (=> @t446 @t450))) % 1.13/1.34 (assume @p290 (forall @t123 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t27) @t450))) % 1.13/1.34 (assume @p291 (forall @t141 (=> @t446 (=> (= @t451 @t433) @t449)))) % 1.13/1.34 (assume @p292 (forall @t64 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t453 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t57 @t55))))) % 1.13/1.34 (assume @p293 (forall @t132 (=> @t209 (=> @t131 (=> @t130 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t453 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t128 @t127))))))) % 1.13/1.34 (assume @p294 (forall @t36 (=> @t455 @t454))) % 1.13/1.34 (assume @p295 (forall @t36 (=> @t456 @t454))) % 1.13/1.34 (assume @p296 (forall @t245 (=> @t458 (= (= @t32 @t457) @t102)))) % 1.13/1.34 (assume @p297 (forall @t36 (=> @t455 @t459))) % 1.13/1.34 (assume @p298 (forall @t36 (=> @t456 @t459))) % 1.13/1.34 (assume @p299 (forall @t36 (=> @t70 @t454))) % 1.13/1.34 (assume @p300 (forall @t36 (=> @t70 @t459))) % 1.13/1.34 (assume @p301 (forall @t260 (=> @t460 (= (= @t99 @t448) @t102)))) % 1.13/1.34 (assume @p302 (forall @t170 (=> @t462 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t445 @t461) @t373)))) % 1.13/1.34 (assume @p303 (forall @t161 (=> @t462 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t447 @t463) @t373)))) % 1.13/1.34 (assume @p304 (forall @t123 (=> @t465 (=> @t345 @t464)))) % 1.13/1.34 (assume @p305 (forall @t123 (=> @t465 (=> @t345 @t467)))) % 1.13/1.34 (assume @p306 (forall @t355 (=> @t465 (=> @t345 (=> @t354 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t434 @t442)))))) % 1.13/1.34 (assume @p307 (forall @t364 (=> @t462 (=> @t464 @t345)))) % 1.13/1.34 (assume @p308 (forall @t182 (=> @t462 (=> @t467 @t345)))) % 1.13/1.34 (assume @p309 (forall @t170 (=> @t462 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t445 @t461) @t164)))) % 1.13/1.34 (assume @p310 (forall @t161 (=> @t462 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t447 @t463) @t164)))) % 1.13/1.34 (assume @p311 (forall @t123 (=> @t469 (=> @t146 @t468)))) % 1.13/1.34 (assume @p312 (forall @t123 (=> @t469 (=> @t146 @t470)))) % 1.13/1.34 (assume @p313 (forall @t355 (=> @t469 (=> @t146 @t472)))) % 1.13/1.34 (assume @p314 (forall @t364 (=> @t462 (=> @t468 @t146)))) % 1.13/1.34 (assume @p315 (forall @t182 (=> @t462 (=> @t470 @t146)))) % 1.13/1.34 (assume @p316 (forall (@list @t190 @t37 @t186 @t187 @t27) (=> @t460 (= (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t189 @t192) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t188 @t190) (tptp.hAPP @t191 @t186))) (or (= @t187 @t37) (= @t186 @t190)))))) % 1.13/1.34 (assume @p317 (forall (@list @t121 @t65 @t473 @t26 @t27) (=> (tptp.class_Rings_Osemiring @t27) (= (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t68 @t473) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t66 @t473) @t121)) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t474 @t473) @t121))))) % 1.13/1.34 (assume @p318 (forall (@list @t65 @t174 @t26 @t27) (=> @t70 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t475 (tptp.hAPP @t66 @t174)) (tptp.hAPP @t474 @t174))))) % 1.13/1.34 (assume @p319 (forall @t479 (=> @t106 (= (tptp.hAPP (tptp.hAPP @t60 @t452) @t476) (tptp.c_Groups_Oplus__class_Oplus @t27 @t478 @t477))))) % 1.13/1.34 (assume @p320 (forall @t483 (=> @t106 (= (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t480)) @t65) (tptp.c_Groups_Oplus__class_Oplus @t27 @t69 @t482))))) % 1.13/1.34 (assume @p321 (forall @t123 (=> @t70 @t484))) % 1.13/1.34 (assume @p322 (forall @t123 (=> (tptp.class_Rings_Ocomm__semiring @t27) @t484))) % 1.13/1.34 (assume @p323 (forall @t488 (=> @t460 (= (and (not @t237) (not @t487)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t169 (tptp.hAPP @t167 @t485)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t486 @t168))))))) % 1.13/1.34 (assume @p324 (forall @t493 (=> @t106 (= (tptp.hAPP @t490 @t452) (tptp.c_Groups_Oplus__class_Oplus @t27 @t492 @t491))))) % 1.13/1.34 (assume @p325 (forall @t494 (=> @t70 (= (tptp.hAPP @t61 (tptp.c_Groups_Oplus__class_Oplus @t27 @t54 @t117)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t62 @t118))))) % 1.13/1.34 (assume @p326 (forall @t497 (=> @t106 (= (tptp.hAPP @t68 (tptp.c_Groups_Oplus__class_Oplus @t27 @t65 @t495)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t69 @t496))))) % 1.13/1.34 (assume @p327 (forall @t123 (=> @t35 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t439 @t121) (tptp.c_Groups_Oplus__class_Oplus @t27 @t250 @t122))))) % 1.13/1.34 (assume @p328 (forall @t479 (=> @t241 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t452 @t476) (tptp.c_Groups_Oplus__class_Oplus @t27 @t499 @t498))))) % 1.13/1.34 (assume @p329 (forall @t508 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t507 @t505) @t502))) % 1.13/1.34 (assume @p330 (forall @t513 (= @t512 @t502))) % 1.13/1.34 (assume @p331 (forall @t71 (=> @t514 (=> @t341 (=> @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t439 @t32)))))) % 1.13/1.34 (assume @p332 (forall @t185 (=> @t514 (=> @t344 (=> @t350 @t515))))) % 1.13/1.34 (assume @p333 (forall @t123 (=> @t514 (=> @t337 (=> @t516 @t515))))) % 1.13/1.34 (assume @p334 (forall @t518 (=> @t514 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t186) (= (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t37 @t186) @t32) @t517)))))) % 1.13/1.34 (assume @p335 (forall @t71 (=> @t514 (=> @t337 (=> @t336 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t439)))))) % 1.13/1.34 (assume @p336 (forall @t245 (=> @t458 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t457 @t32) @t330)))) % 1.13/1.34 (assume @p337 (forall @t245 (=> @t458 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t457) @t332)))) % 1.13/1.34 (assume @p338 (forall @t245 (=> @t458 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t457) @t222)))) % 1.13/1.34 (assume @p339 (forall @t245 (=> @t458 @t519))) % 1.13/1.34 (assume @p340 (forall @t71 (=> @t514 (=> @t43 @t521)))) % 1.13/1.34 (assume @p341 (forall @t71 (=> @t514 (=> @t151 @t523)))) % 1.13/1.34 (assume @p342 (forall @t123 (=> @t175 (=> @t43 @t526)))) % 1.13/1.34 (assume @p343 (forall @t355 (=> @t469 (=> @t345 @t472)))) % 1.13/1.34 (assume @p344 (forall @t355 (=> @t469 (=> @t146 (=> @t354 @t471))))) % 1.13/1.34 (assume @p345 (forall (@list @t351 @t121 @t65 @t26 @t128 @t27) (=> @t460 (=> (not (= @t128 @t32)) (=> (and @t234 (not (= @t121 @t351))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 (tptp.hAPP @t527 @t121)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t65 (tptp.hAPP @t527 @t351))))))))) % 1.13/1.34 (assume @p346 (forall @t36 (=> @t175 (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t528)))) % 1.13/1.34 (assume @p347 (forall (@list @t174 @t26 @t27) (=> @t70 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t475 @t174) @t529)))) % 1.13/1.34 (assume @p348 (forall (@list @t26 @t174 @t27) (=> @t70 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t174 @t475) @t529)))) % 1.13/1.34 (assume @p349 (forall (@list @t174 @t27) (=> @t70 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t174 @t174) (tptp.hAPP (tptp.hAPP @t60 @t530) @t174))))) % 1.13/1.34 (assume @p350 (forall @t71 (=> @t514 (=> @t43 (=> @t336 @t520))))) % 1.13/1.34 (assume @p351 (forall @t71 (=> @t514 (=> @t337 @t521)))) % 1.13/1.34 (assume @p352 (forall @t123 (=> @t514 (=> @t43 (=> @t516 @t524))))) % 1.13/1.34 (assume @p353 (forall @t123 (=> @t514 (=> @t337 @t526)))) % 1.13/1.34 (assume @p354 (forall @t71 (=> @t514 (=> @t151 (=> @t340 @t522))))) % 1.13/1.34 (assume @p355 (forall @t71 (=> @t514 (=> @t341 @t523)))) % 1.13/1.34 (assume @p356 (forall @t47 (=> @t175 (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t530)))) % 1.13/1.34 (assume @p357 (forall @t220 (=> @t120 (=> @t533 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t117 @t119) @t532))))) % 1.13/1.34 (assume @p358 (forall @t537 (=> @t48 (=> @t536 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t535) (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t534 @t54) @t117)))))) % 1.13/1.34 (assume @p359 (forall @t221 (=> @t120 (=> @t533 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t119 @t117) @t532))))) % 1.13/1.34 (assume @p360 (forall @t537 (=> @t48 (=> @t536 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t381 @t54) (tptp.c_Rings_Oinverse__class_Odivide @t27 @t531 @t117)))))) % 1.13/1.34 (assume @p361 (forall @t541 (=> @t48 (=> @t533 (=> @t536 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t119 @t540) (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t118 @t539) @t538))))))) % 1.13/1.34 (assume @p362 (forall @t71 (=> @t44 (=> @t146 (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t542))))) % 1.13/1.34 (assume @p363 (forall @t71 (=> @t44 (=> @t146 (tptp.c_Orderings_Oord__class_Oless @t27 @t542 @t65))))) % 1.13/1.34 (assume @p364 (forall @t71 (=> @t35 (=> @t34 (=> @t98 (= @t543 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t125 @t439)) @t124))))))) % 1.13/1.34 (assume @p365 (forall @t71 (=> @t48 (=> @t34 (=> @t98 (= @t543 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t474 @t30)) @t124))))))) % 1.13/1.34 (assume @p366 (forall @t64 (=> @t545 (=> (not @t384) @t544)))) % 1.13/1.34 (assume @p367 (forall (@list @t37 @t1 @t2 @t27 @t133) (=> @t548 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t133 (tptp.hAPP @t2 @t37) (tptp.hAPP @t1 @t37)))))) % 1.13/1.34 (assume @p368 (forall @t221 (=> @t550 (=> @t544 (=> @t549 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t117 @t56)))))) % 1.13/1.34 (assume @p369 (forall @t551 (=> @t550 (=> @t544 (=> @t384 @t230))))) % 1.13/1.34 (assume @p370 (forall @t494 (=> @t413 (=> @t384 (=> @t552 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t117)))))) % 1.13/1.34 (assume @p371 (forall @t64 (=> @t550 (=> @t384 (=> @t544 @t230))))) % 1.13/1.34 (assume @p372 (forall @t141 (=> @t550 (=> @t350 (=> @t449 @t553))))) % 1.13/1.34 (assume @p373 (forall @t123 (=> @t555 (=> @t345 (=> @t449 @t554))))) % 1.13/1.34 (assume @p374 (forall @t123 (=> @t550 (=> @t234 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t121 @t65) @t553))))) % 1.13/1.34 (assume @p375 (forall @t123 (=> @t555 (=> @t234 (=> @t516 @t554))))) % 1.13/1.34 (assume @p376 (forall @t559 (=> @t550 (=> @t558 @t557)))) % 1.13/1.34 (assume @p377 (forall @t64 (=> @t413 (=> @t230 @t384)))) % 1.13/1.34 (assume @p378 (forall @t518 (=> @t550 (= @t314 (and @t556 @t558))))) % 1.13/1.34 (assume @p379 (forall @t64 (=> @t545 (or @t384 @t544)))) % 1.13/1.34 (assume @p380 (forall @t560 (=> @t548 (= @t547 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t133 @t5 @t4)))))) % 1.13/1.34 (assume @p381 (forall @t107 (=> @t413 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t56))))) % 1.13/1.34 (assume @p382 (forall @t518 (=> @t545 (= @t315 (or @t562 @t561))))) % 1.13/1.34 (assume @p383 (forall @t518 (=> @t545 (= @t563 (or @t561 @t314))))) % 1.13/1.34 (assume @p384 (forall @t64 (=> @t545 (or @t228 @t230 @t227)))) % 1.13/1.34 (assume @p385 (forall @t559 (=> @t545 (=> (not @t561) @t564)))) % 1.13/1.34 (assume @p386 (forall @t64 (=> @t545 @t232))) % 1.13/1.34 (assume @p387 (forall @t64 (=> @t550 (=> @t228 @t231)))) % 1.13/1.34 (assume @p388 (forall @t64 (=> @t413 (=> @t228 (not @t227))))) % 1.13/1.34 (assume @p389 (forall @t64 (=> @t550 (=> @t228 @t565)))) % 1.13/1.34 (assume @p390 (forall @t71 (=> @t413 (=> @t146 (not @t139))))) % 1.13/1.34 (assume @p391 (forall @t163 (=> @t550 (=> @t139 (not @t146))))) % 1.13/1.34 (assume @p392 (forall @t123 (=> @t555 (=> @t234 (=> @t525 @t566))))) % 1.13/1.34 (assume @p393 (forall @t123 (=> @t550 (=> @t234 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t121 @t65) @t567))))) % 1.13/1.34 (assume @p394 (forall @t123 (=> @t555 (=> @t146 (=> @t449 @t566))))) % 1.13/1.34 (assume @p395 (forall @t141 (=> @t550 (=> @t139 (=> @t449 @t567))))) % 1.13/1.34 (assume @p396 (forall @t494 (=> @t413 (=> @t228 @t569)))) % 1.13/1.34 (assume @p397 (forall @t221 (=> @t550 (=> @t227 @t571)))) % 1.13/1.34 (assume @p398 (forall @t64 (=> @t545 (=> @t229 (=> @t231 @t227))))) % 1.13/1.34 (assume @p399 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t503 @t85) @t173) @t85))) % 1.13/1.34 (assume @p400 (forall @t573 (= (tptp.hAPP @t572 @t85) @t85))) % 1.13/1.34 (assume @p401 (forall @t431 (= (= @t575 @t85) (or @t574 @t420)))) % 1.13/1.34 (assume @p402 (forall @t513 (= @t578 @t577))) % 1.13/1.34 (assume @p403 (forall @t508 (= (= @t507 @t505) @t577))) % 1.13/1.34 (assume @p404 (forall @t425 (=> (= @t174 @t580) (or (= @t173 @t579) (= @t174 @t85))))) % 1.13/1.34 (assume @p405 (forall @t409 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t173)))) % 1.13/1.34 (assume @p406 (forall @t431 (= @t432 (or @t429 @t581)))) % 1.13/1.34 (assume @p407 (forall @t268 (=> @t231 (=> (not @t582) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t54 @t56))))) % 1.13/1.34 (assume @p408 (forall @t583 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t173 @t174) @t426))) % 1.13/1.34 (assume @p409 (forall (@list @t584 @t127) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t127 @t584) (not (= @t127 @t584))))) % 1.13/1.34 (assume @p410 (forall (@list @t585 @t419 @t427) (=> (=> @t429 @t587) (=> (=> @t428 @t587) (=> (=> @t581 @t587) @t587))))) % 1.13/1.34 (assume @p411 (forall @t593 (=> (tptp.class_Rings_Olinordered__semiring__1 @t27) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t26) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t54 @t26) (=> @t592 (=> @t591 (=> @t590 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t589 @t26))))))))) % 1.13/1.34 (assume @p412 (forall @t593 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t27) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t26) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t54 @t26) (=> @t592 (=> @t591 (=> @t590 (tptp.c_Orderings_Oord__class_Oless @t27 @t589 @t26))))))))) % 1.13/1.34 (assume @p413 (forall @t221 (=> @t550 (=> @t544 @t571)))) % 1.13/1.34 (assume @p414 (forall @t494 (=> @t413 (=> @t384 @t569)))) % 1.13/1.34 (assume @p415 (forall @t221 (=> @t550 (=> @t227 (=> @t549 @t570))))) % 1.13/1.34 (assume @p416 (forall @t494 (=> @t413 (=> @t228 (=> @t552 @t568))))) % 1.13/1.34 (assume @p417 (forall @t163 (=> @t550 (=> @t350 (=> @t594 @t139))))) % 1.13/1.34 (assume @p418 (forall @t71 (=> @t550 (=> @t345 (=> @t594 @t146))))) % 1.13/1.34 (assume @p419 (forall @t64 (=> @t550 (=> @t384 (or @t228 @t230))))) % 1.13/1.34 (assume @p420 (forall @t518 (=> @t545 (=> @t556 @t564)))) % 1.13/1.34 (assume @p421 (forall @t64 (=> @t413 (=> @t228 @t384)))) % 1.13/1.34 (assume @p422 (forall @t551 (=> @t545 (=> @t544 @t229)))) % 1.13/1.34 (assume @p423 (forall @t71 (=> @t550 (=> @t594 (=> @t350 @t139))))) % 1.13/1.34 (assume @p424 (forall @t71 (=> @t550 (=> @t594 (=> @t345 @t146))))) % 1.13/1.34 (assume @p425 (forall @t518 (=> @t545 (=> @t563 @t557)))) % 1.13/1.34 (assume @p426 (forall @t551 (=> @t545 (=> (not @t544) @t228)))) % 1.13/1.34 (assume @p427 (forall @t64 (=> @t545 (=> @t229 @t544)))) % 1.13/1.34 (assume @p428 (forall @t518 (=> @t550 (= @t556 (or @t562 @t314))))) % 1.13/1.34 (assume @p429 (forall @t518 (=> @t413 (= @t562 (and @t556 (not @t558)))))) % 1.13/1.34 (assume @p430 (forall @t518 (=> @t550 (= @t562 (and @t556 @t315))))) % 1.13/1.34 (assume @p431 (forall @t64 (=> @t545 (or @t384 @t227)))) % 1.13/1.34 (assume @p432 (forall @t518 (=> @t545 (= (not @t556) @t561)))) % 1.13/1.34 (assume @p433 (forall @t518 (=> @t545 (= @t563 @t558)))) % 1.13/1.34 (assume @p434 (forall @t421 (= @t596 @t595))) % 1.13/1.34 (assume @p435 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t575) (and @t597 @t595)))) % 1.13/1.34 (assume @p436 (forall @t513 (= @t599 @t598))) % 1.13/1.34 (assume @p437 (forall @t508 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t507 @t505) @t598))) % 1.13/1.34 (assume @p438 (forall @t425 (=> @t424 @t601))) % 1.13/1.34 (assume @p439 (forall @t326 (=> @t607 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t605 @t603))))) % 1.13/1.34 (assume @p440 (forall @t326 (=> @t607 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t610 @t609))))) % 1.13/1.34 (assume @p441 (forall @t409 (=> @t601 @t611))) % 1.13/1.34 (assume @p442 (forall (@list @t26 @t128) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t129 @t26) (tptp.hAPP @t129 @t128)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t26 @t128)))) % 1.13/1.34 (assume @p443 (exists @t615 (and @t614 @t613))) % 1.13/1.34 (assume @p444 (forall @t64 (=> @t172 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t617 @t32))))) % 1.13/1.34 (assume @p445 (forall @t518 (=> @t140 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t618) (or @t267 @t194))))) % 1.13/1.34 (assume @p446 (forall @t64 (=> @t172 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t617)))) % 1.13/1.34 (assume @p447 (forall @t518 (=> @t140 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t618 @t32) @t517)))) % 1.13/1.34 (assume @p448 (forall @t518 (=> @t140 (= (= @t618 @t32) @t517)))) % 1.13/1.34 (assume @p449 (forall @t573 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t619))) % 1.13/1.34 (assume @p450 (forall @t573 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 (tptp.hAPP @t572 @t619)))) % 1.13/1.34 (assume @p451 (forall @t326 (=> @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t605 @t603)))) % 1.13/1.34 (assume @p452 (forall @t326 (=> @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t610 @t609)))) % 1.13/1.34 (assume @p453 (forall @t623 (=> @t620 (=> @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t605 (tptp.hAPP @t602 @t621)))))) % 1.13/1.34 (assume @p454 (forall @t409 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t173))) % 1.13/1.34 (assume @p455 (forall @t583 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t624))) % 1.13/1.34 (assume @p456 (forall @t583 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t173 @t625))) % 1.13/1.34 (assume @p457 (forall (@list @t627 @t500) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t500 @t627) (exists @t628 (= @t627 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t500 @t626)))))) % 1.13/1.34 (assume @p458 (forall @t431 (= @t430 (exists @t630 (= @t419 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t427 @t629)))))) % 1.13/1.34 (assume @p459 (forall @t425 (or @t422 @t631))) % 1.13/1.34 (assume @p460 (forall @t513 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t633 @t632) @t430))) % 1.13/1.34 (assume @p461 (forall @t425 (=> @t423 @t422))) % 1.13/1.34 (assume @p462 (forall @t635 (=> @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t324 @t634)))) % 1.13/1.34 (assume @p463 (forall @t635 (=> @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t324 @t636)))) % 1.13/1.34 (assume @p464 (forall @t326 (=> @t620 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t638 @t637)))) % 1.13/1.34 (assume @p465 (forall @t326 (=> @t620 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t325 @t323) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t324 @t323))))) % 1.13/1.34 (assume @p466 (forall @t425 (=> @t422 (=> @t631 @t423)))) % 1.13/1.34 (assume @p467 (forall @t623 (=> @t620 (=> @t622 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t638 @t639))))) % 1.13/1.34 (assume @p468 (forall @t642 (=> @t641 @t640))) % 1.13/1.34 (assume @p469 (forall @t642 (=> @t641 @t422))) % 1.13/1.34 (assume @p470 (forall @t642 (=> @t641 (not (=> @t422 (not @t640)))))) % 1.13/1.34 (assume @p471 (forall @t560 (=> @t548 (= (tptp.c_Orderings_Oord__class_Oless @t546 @t2 @t1) (and @t547 (not (tptp.c_Orderings_Oord__class_Oless__eq @t546 @t1 @t2))))))) % 1.13/1.34 (assume @p472 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t503 @t624) @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t645 @t644)))) % 1.13/1.34 (assume @p473 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t503 @t580) @t323) (tptp.hAPP @t572 @t644)))) % 1.13/1.34 (assume @p474 (forall @t431 (= (= @t575 @t579) @t649))) % 1.13/1.34 (assume @p475 (forall @t652 (= (tptp.hAPP @t608 @t624) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t651 @t650)))) % 1.13/1.34 (assume @p476 (forall @t425 (= @t580 @t653))) % 1.13/1.34 (assume @p477 (forall @t409 (= (tptp.hAPP @t643 @t579) @t173))) % 1.13/1.34 (assume @p478 (forall @t431 (= (= @t579 @t575) @t649))) % 1.13/1.34 (assume @p479 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t503 @t579) @t173) @t173))) % 1.13/1.34 (assume @p480 (forall @t655 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t117 @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t117 @t54))))) % 1.13/1.34 (assume @p481 (forall @t409 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t85 @t173) @t173))) % 1.13/1.34 (assume @p482 (forall @t573 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t85) @t174))) % 1.13/1.34 (assume @p483 (forall @t431 (= (= @t656 @t85) (and @t574 @t420)))) % 1.13/1.34 (assume @p484 (forall @t425 (=> (= @t624 @t174) @t600))) % 1.13/1.34 (assume @p485 (forall (@list @t325 @t324) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t324)))) % 1.13/1.34 (assume @p486 (forall (@list @t324 @t325) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t658 @t324)))) % 1.13/1.34 (assume @p487 (forall @t513 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t633 @t632) @t429))) % 1.13/1.34 (assume @p488 (forall @t635 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t324 @t634)))) % 1.13/1.34 (assume @p489 (forall @t635 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t324 @t636)))) % 1.13/1.34 (assume @p490 (forall @t326 (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t638 @t637)))) % 1.13/1.34 (assume @p491 (forall @t623 (=> @t607 (=> @t659 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t638 @t639))))) % 1.13/1.34 (assume @p492 (forall (@list @t173 @t174 @t621 @t323) (=> @t659 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t621) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t323 @t173)) @t424)))) % 1.13/1.34 (assume @p493 (forall @t326 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t323) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t324 @t323)))) % 1.13/1.34 (assume @p494 (forall @t660 (= (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t393 @t391)) @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t394 @t115) (tptp.hAPP @t392 @t115))))) % 1.13/1.34 (assume @p495 (forall @t273 (=> @t456 (= (tptp.c_Groups_Oplus__class_Oplus @t81 @t269 @t82) @t269)))) % 1.13/1.34 (assume @p496 (forall @t288 (=> @t456 (= (tptp.c_Groups_Oplus__class_Oplus @t81 @t82 @t277) @t277)))) % 1.13/1.34 (assume @p497 (forall @t291 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t26 @t443) (tptp.c_Groups_Oplus__class_Oplus @t81 @t271 @t290))))) % 1.13/1.34 (assume @p498 (forall (@list @t128 @t277 @t269 @t27) (=> @t272 (= (tptp.hAPP (tptp.hAPP @t279 @t443) @t128) (tptp.c_Groups_Oplus__class_Oplus @t81 (tptp.hAPP @t280 @t128) (tptp.hAPP (tptp.hAPP @t279 @t277) @t128)))))) % 1.13/1.34 (assume @p499 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t656) (or @t597 @t595)))) % 1.13/1.34 (assume @p500 (forall @t318 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t411 (tptp.hAPP @t359 @t186)) @t208) (and @t410 (= @t186 @t208))))) % 1.13/1.34 (assume @p501 (forall @t661 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t115) (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 @t115 @t117)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t117))))) % 1.13/1.34 (assume @p502 (forall @t513 (=> @t501 (= @t512 @t430)))) % 1.13/1.34 (assume @p503 (forall @t513 (=> @t501 (= @t599 @t429)))) % 1.13/1.34 (assume @p504 (forall @t513 (=> @t501 (= @t578 @t428)))) % 1.13/1.34 (assume @p505 (forall @t245 (=> @t233 @t519))) % 1.13/1.34 (assume @p506 (forall @t508 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t427 @t500) @t662) @t428))) % 1.13/1.34 (assume @p507 (forall @t513 (= (= @t633 @t632) @t428))) % 1.13/1.34 (assume @p508 (forall @t646 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t624 @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t173 @t323))))) % 1.13/1.34 (assume @p509 (forall @t655 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t663) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t54 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t117))))) % 1.13/1.34 (assume @p510 (forall @t425 (= @t624 @t625))) % 1.13/1.34 (assume @p511 (forall (@list @t323 @t325 @t302 @t324) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t604 @t302) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t602 @t302) @t323)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t503 @t657) @t302) @t323)))) % 1.13/1.34 (assume @p512 (forall @t245 (=> @t458 (= (= @t457 @t32) @t102)))) % 1.13/1.34 (assume @p513 (forall @t513 (= @t578 (or @t576 @t428)))) % 1.13/1.34 (assume @p514 (not (forall @t615 (=> @t614 (not @t613))))) % 1.13/1.34 (assume @p515 (forall @t111 (=> @t106 (exists @t418 (and @t417 @t664))))) % 1.13/1.34 (assume @p516 (forall @t107 (=> @t106 (exists @t418 (and @t417 @t665))))) % 1.13/1.34 (assume @p517 (forall @t47 (=> @t106 (exists @t418 (and @t417 @t668))))) % 1.13/1.34 (assume @p518 (forall @t655 (=> @t670 @t669))) % 1.13/1.34 (assume @p519 (forall @t671 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t117) @t669))) % 1.13/1.34 (assume @p520 (forall @t268 (=> @t582 @t670))) % 1.13/1.34 (assume @p521 (forall @t671 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t117) @t672))) % 1.13/1.34 (assume @p522 (forall @t655 (=> @t582 @t672))) % 1.13/1.34 (assume @p523 (forall @t679 (=> @t550 (= (tptp.c_SEQ_Odecseq @t27 @t674) (forall @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t676 @t675))))))) % 1.13/1.34 (assume @p524 (forall (@list @t269 @t128) (exists (@list @t673) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t673) (forall @t23 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t22) @t128) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t269) @t22)) @t673))))))) % 1.13/1.34 (assume @p525 (forall (@list @t419 @t585) (=> (not @t685) (=> @t684 (exists @t630 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t629 @t419) (forall @t683 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t680 @t629) (not @t682))) (tptp.hBOOL (tptp.hAPP @t585 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t629 @t579))))))))) % 1.13/1.34 (assume @p526 (forall @t111 (=> @t241 (exists @t418 (and @t686 @t416))))) % 1.13/1.34 (assume @p527 (forall @t47 (=> @t106 (exists @t418 (and @t686 @t668))))) % 1.13/1.34 (assume @p528 (forall @t107 (=> @t106 (exists @t418 (and @t686 @t665))))) % 1.13/1.34 (assume @p529 (forall @t111 (=> @t106 (exists @t418 (and @t686 @t664))))) % 1.13/1.34 (assume @p530 (forall @t64 (=> @t40 (=> (forall @t23 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t22) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t22 @t28) (tptp.c_Orderings_Oord__class_Oless__eq @t27 (tptp.hAPP (tptp.hAPP @t60 @t22) @t56) @t54)))) @t384)))) % 1.13/1.34 (assume @p531 (forall @t679 (=> @t209 (= @t689 @t688)))) % 1.13/1.34 (assume @p532 (forall @t679 (=> @t550 (= (tptp.c_SEQ_Oincseq @t27 @t674) (forall @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t675 @t676))))))) % 1.13/1.34 (assume @p533 (forall @t301 (=> @t692 (= (tptp.c_RComplete_Onatceiling @t691) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t690 @t579))))) % 1.13/1.34 (assume @p534 (= (tptp.c_Complex_Oexpi @t7) @t20)) % 1.13/1.34 (assume @p535 (= (tptp.c_RComplete_Onatceiling @t208) @t85)) % 1.13/1.34 (assume @p536 (forall @t301 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t85 @t690))) % 1.13/1.34 (assume @p537 (forall @t268 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t690 (tptp.c_RComplete_Onatceiling @t54))))) % 1.13/1.34 (assume @p538 (= (tptp.c_RComplete_Onatceiling @t45) @t579)) % 1.13/1.34 (assume @p539 (forall @t301 (=> @t693 (= @t690 @t85)))) % 1.13/1.34 (assume @p540 (forall @t412 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t694 @t579) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t45)))) % 1.13/1.34 (assume @p541 (forall @t695 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t26 @t65)) (tptp.hAPP (tptp.hAPP @t13 (tptp.c_Complex_Oexpi @t26)) (tptp.c_Complex_Oexpi @t65))))) % 1.13/1.34 (assume @p542 (forall @t301 (=> @t692 (= (tptp.c_RComplete_Onatfloor @t691) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t696 @t579))))) % 1.13/1.34 (assume @p543 (forall @t699 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t697 @t56) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t698) (= @t690 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t173 @t579)))))) % 1.13/1.34 (assume @p544 (forall @t679 (=> @t209 (=> @t689 @t688)))) % 1.13/1.34 (assume @p545 (forall (@list @t674 @t700 @t27) (=> @t209 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t700) (=> (forall @t628 @t701) @t689))))) % 1.13/1.34 (assume @p546 (forall @t409 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t697))) % 1.13/1.34 (assume @p547 (forall @t301 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t702 @t45)))) % 1.13/1.34 (assume @p548 (forall @t409 (= (tptp.c_RComplete_Onatfloor @t697) @t173))) % 1.13/1.34 (assume @p549 (forall @t409 (= (tptp.c_RComplete_Onatceiling @t697) @t173))) % 1.13/1.34 (assume @p550 (forall @t301 (=> @t692 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t702 @t56)))) % 1.13/1.34 (assume @p551 (forall @t705 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t704 @t26) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t703)))) % 1.13/1.34 (assume @p552 (forall @t708 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t707) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t706 @t37))))) % 1.13/1.34 (assume @p553 (forall @t711 (= (= @t710 @t709) (= @t419 @t427)))) % 1.13/1.34 (assume @p554 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t85) @t208)) % 1.13/1.34 (assume @p555 (forall @t421 (= (= @t710 @t208) @t420))) % 1.13/1.34 (assume @p556 (forall @t409 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t697 @t208)))) % 1.13/1.34 (assume @p557 (forall @t711 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t710 @t709) @t581))) % 1.13/1.34 (assume @p558 (forall @t711 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t710 @t709) @t712))) % 1.13/1.34 (assume @p559 (forall @t713 (=> @t692 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t697) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t696 @t173))))) % 1.13/1.34 (assume @p560 (forall @t425 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t580) (tptp.hAPP (tptp.hAPP @t58 @t714) @t697)))) % 1.13/1.34 (assume @p561 (forall @t425 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t624) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t714 @t697)))) % 1.13/1.34 (assume @p562 (forall @t705 (=> @t692 (= (tptp.c_RComplete_Onatfloor @t716) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t696 @t26))))) % 1.13/1.34 (assume @p563 (forall (@list @t173 @t117) (=> (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 @t117) @t579) @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t117 @t697)))) % 1.13/1.34 (assume @p564 (= @t717 @t45)) % 1.13/1.34 (assume @p565 (forall @t699 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t697 @t56) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t698) (= @t696 @t173))))) % 1.13/1.34 (assume @p566 (forall @t301 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t690)))) % 1.13/1.34 (assume @p567 (= (tptp.c_RComplete_Onatfloor @t208) @t85)) % 1.13/1.34 (assume @p568 (forall @t301 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t85 @t696))) % 1.13/1.34 (assume @p569 (forall @t268 (=> @t654 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t696 (tptp.c_RComplete_Onatfloor @t54))))) % 1.13/1.34 (assume @p570 (= (tptp.c_RComplete_Onatfloor @t45) @t579)) % 1.13/1.34 (assume @p571 (forall @t421 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t710 @t208) @t420))) % 1.13/1.34 (assume @p572 (forall @t705 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t715) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t690 @t26)))) % 1.13/1.34 (assume @p573 (forall @t301 (=> @t693 (= @t696 @t85)))) % 1.13/1.34 (assume @p574 (forall @t421 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t710) @t595))) % 1.13/1.34 (assume @p575 (forall @t711 (= @t581 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t710 @t45) @t709)))) % 1.13/1.34 (assume @p576 (forall @t711 (= @t712 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t710 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t709 @t45))))) % 1.13/1.34 (assume @p577 (forall @t708 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t694 @t101) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t37 @t706))))) % 1.13/1.34 (assume @p578 (forall @t412 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579 @t707) @t718))) % 1.13/1.34 (assume @p579 (forall @t705 (=> @t692 (= (tptp.c_RComplete_Onatceiling @t716) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t690 @t26))))) % 1.13/1.34 (assume @p580 (forall @t695 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t26) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t65) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t503 @t703) (tptp.c_RComplete_Onatfloor @t65)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t58 @t26) @t65))))))) % 1.13/1.34 (assume @p581 (forall @t268 (=> @t719 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t54) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t56 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t54))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t696 @t54)))))) % 1.13/1.34 (assume @p582 (forall @t713 (=> @t692 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t721 @t56) @t45) (tptp.hAPP (tptp.hAPP @t720 @t691) @t173))))) % 1.13/1.34 (assume @p583 (forall (@list @t700 @t674 @t722 @t27) (=> @t209 (=> (forall @t628 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t722 @t626) @t701)) @t689)))) % 1.13/1.34 (assume @p584 (forall (@list @t56 @t173 @t269 @t27) (=> @t70 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t81) @t269) @t173)) @t56) (tptp.hAPP (tptp.hAPP @t723 @t270) @t173))))) % 1.13/1.34 (assume @p585 (forall @t728 (=> @t51 (= @t727 @t724)))) % 1.13/1.34 (assume @p586 (forall (@list @t277 @t54 @t56 @t27) (=> @t70 (= (tptp.hAPP (tptp.hAPP @t723 @t62) @t277) (tptp.hAPP (tptp.hAPP @t60 @t730) (tptp.hAPP @t729 @t277)))))) % 1.13/1.34 (assume @p587 (forall @t728 (=> @t46 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t727 @t724)))) % 1.13/1.34 (assume @p588 (forall @t732 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t723 @t731) @t277) (tptp.hAPP @t725 (tptp.hAPP (tptp.hAPP @t503 @t269) @t277)))))) % 1.13/1.34 (assume @p589 (forall @t107 (=> @t70 (= (tptp.hAPP @t725 @t579) @t56)))) % 1.13/1.34 (assume @p590 (forall @t652 (and (=> @t736 (= @t734 @t85)) (=> (not @t736) @t735)))) % 1.13/1.34 (assume @p591 (forall @t107 (=> @t70 (= (tptp.hAPP @t725 @t85) @t28)))) % 1.13/1.34 (assume @p592 (forall @t732 (=> @t70 (= (tptp.hAPP (tptp.hAPP @t60 @t731) @t730) (tptp.hAPP @t725 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t277)))))) % 1.13/1.34 (assume @p593 (forall @t652 (=> @t606 @t735))) % 1.13/1.34 (assume @p594 (forall @t699 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t738 @t737))) % 1.13/1.34 (assume @p595 (forall @t743 (=> @t175 (=> @t146 (=> @t337 (=> @t611 @t742)))))) % 1.13/1.34 (assume @p596 (forall @t749 (= (tptp.hBOOL (tptp.hAPP @t585 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t419 @t500))) (and (=> @t576 @t685) (=> @t748 (forall @t747 (=> @t746 (=> @t745 @t682)))))))) % 1.13/1.34 (assume @p597 (forall @t751 (=> @t175 (=> @t750 (=> @t611 (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t741)))))) % 1.13/1.34 (assume @p598 (forall @t655 (= (tptp.hAPP @t753 @t663) (tptp.hAPP (tptp.hAPP @t755 @t754) (tptp.hAPP @t753 @t117))))) % 1.13/1.34 (assume @p599 (forall @t655 (= (tptp.hAPP (tptp.hAPP @t752 @t754) @t117) (tptp.hAPP @t753 (tptp.hAPP (tptp.hAPP @t503 @t54) @t117))))) % 1.13/1.34 (assume @p600 (forall @t759 (= @t758 (or @t756 @t420)))) % 1.13/1.34 (assume @p601 (forall @t763 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t324) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t762 @t761) @t424)))) % 1.13/1.34 (assume @p602 (forall @t425 (= @t765 @t764))) % 1.13/1.34 (assume @p603 (forall @t425 (= @t764 @t765))) % 1.13/1.34 (assume @p604 (forall @t713 (=> (= @t56 @t702) (= (tptp.c_RComplete_Onatfloor @t766) (tptp.hAPP (tptp.hAPP @t757 @t696) @t173))))) % 1.13/1.34 (assume @p605 (forall @t751 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t27) (=> @t34 (not (= @t741 @t32)))))) % 1.13/1.34 (assume @p606 (forall @t743 (=> @t284 (= (tptp.hAPP (tptp.hAPP @t723 @t69) @t173) (tptp.hAPP @t767 @t739))))) % 1.13/1.34 (assume @p607 (forall @t751 (=> @t285 (= (tptp.hAPP @t767 @t26) @t768)))) % 1.13/1.34 (assume @p608 (forall @t769 (=> @t285 (= (tptp.hAPP (tptp.hAPP @t723 @t28) @t173) @t28)))) % 1.13/1.34 (assume @p609 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t32) @t32)))) % 1.13/1.34 (assume @p610 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t32 @t26) @t32)))) % 1.13/1.34 (assume @p611 (forall @t743 (=> @t120 @t771))) % 1.13/1.34 (assume @p612 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t28) @t26)))) % 1.13/1.34 (assume @p613 (forall @t773 (=> @t285 (= (tptp.hAPP @t740 @t580) (tptp.hAPP (tptp.hAPP @t723 @t772) @t173))))) % 1.13/1.34 (assume @p614 (forall @t751 (=> @t236 @t774))) % 1.13/1.34 (assume @p615 (forall @t36 (=> @t285 (= (tptp.hAPP @t740 @t579) @t26)))) % 1.13/1.34 (assume @p616 (forall @t425 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t733 @t174))) % 1.13/1.34 (assume @p617 (forall @t646 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t174 @t323) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t173 @t323))))) % 1.13/1.34 (assume @p618 (forall @t778 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t26 @t777) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t775 @t121)))) % 1.13/1.34 (assume @p619 (forall @t751 (=> @t175 (=> @t337 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t741))))) % 1.13/1.34 (assume @p620 (forall @t743 (=> @t175 (=> @t345 (=> @t337 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t741 @t739)))))) % 1.13/1.34 (assume @p621 (forall @t751 (=> @t175 (=> @t43 (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t741))))) % 1.13/1.34 (assume @p622 (forall @t751 (=> @t175 (=> @t779 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t28 @t741))))) % 1.13/1.34 (assume @p623 (forall @t783 (=> (and @t782 @t109 @t97 @t240) (= (= @t781 @t32) (and @t102 @t596))))) % 1.13/1.34 (assume @p624 (forall (@list @t419 @t427 @t101 @t27) (=> @t175 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t101) (= (= (tptp.hAPP @t780 @t427) @t781) @t428))))) % 1.13/1.34 (assume @p625 (forall @t182 (=> @t770 (and (=> @t178 (= @t785 @t32)) @t786)))) % 1.13/1.34 (assume @p626 (forall @t163 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t69 @t65) @t26))))) % 1.13/1.34 (assume @p627 (forall @t163 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t67 @t65) @t26))))) % 1.13/1.34 (assume @p628 (forall @t182 (=> @t770 (=> @t179 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t143 @t142) @t784))))) % 1.13/1.34 (assume @p629 (forall @t182 (=> @t770 @t786))) % 1.13/1.34 (assume @p630 (forall (@list @t173 @t26 @t65 @t27) (=> @t48 (=> @t98 @t771)))) % 1.13/1.34 (assume @p631 (forall @t36 (=> @t770 (=> @t34 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t26) @t28))))) % 1.13/1.34 (assume @p632 (forall @t36 (=> @t782 (= (tptp.hAPP @t740 @t85) @t28)))) % 1.13/1.34 (assume @p633 (forall @t773 (=> @t285 (= (tptp.hAPP @t740 @t624) (tptp.hAPP (tptp.hAPP @t60 @t772) @t741))))) % 1.13/1.34 (assume @p634 (forall @t751 (=> @t35 (=> @t34 @t774)))) % 1.13/1.34 (assume @p635 (forall @t751 (=> @t120 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t28 @t741) (tptp.hAPP (tptp.hAPP @t723 @t29) @t173))))) % 1.13/1.34 (assume @p636 (forall @t425 (=> @t424 (= @t733 @t85)))) % 1.13/1.34 (assume @p637 (forall @t787 (=> @t175 (=> @t742 (=> @t336 @t146))))) % 1.13/1.34 (assume @p638 (forall @t751 (=> @t175 (=> @t750 (tptp.c_Orderings_Oord__class_Oless @t27 @t28 @t768))))) % 1.13/1.34 (assume @p639 (forall @t751 (=> @t175 (=> @t750 (tptp.c_Orderings_Oord__class_Oless @t27 @t741 @t768))))) % 1.13/1.34 (assume @p640 (forall @t769 (=> (and @t782 (tptp.class_Rings_Osemiring__0 @t27)) (and (=> @t600 (= @t788 @t28)) (=> @t601 (= @t788 @t32)))))) % 1.13/1.34 (assume @p641 (forall @t141 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t790 @t65) @t789))))) % 1.13/1.34 (assume @p642 (forall @t141 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t791 @t65) @t789))))) % 1.13/1.34 (assume @p643 (forall @t163 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t451 @t65) @t792))))) % 1.13/1.34 (assume @p644 (forall @t163 (=> @t770 (=> @t98 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t439 @t65) @t792))))) % 1.13/1.34 (assume @p645 (forall @t797 (=> @t175 (=> @t796 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t795 @t794) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t186)))))) % 1.13/1.34 (assume @p646 (forall @t773 (=> @t175 (=> @t750 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t772 @t741) @t424))))) % 1.13/1.34 (assume @p647 (forall @t801 (=> @t175 (=> @t800 (=> @t750 (tptp.c_Orderings_Oord__class_Oless @t27 @t741 @t799)))))) % 1.13/1.34 (assume @p648 (forall @t801 (=> @t175 (=> @t802 (=> @t779 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t741 @t799)))))) % 1.13/1.34 (assume @p649 (forall @t646 (=> @t803 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t323 @t173) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t323 @t174)))))) % 1.13/1.34 (assume @p650 (forall @t583 (=> @t611 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t653 @t173) @t174)))) % 1.13/1.34 (assume @p651 (forall @t583 (=> @t611 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t580 @t173) @t174)))) % 1.13/1.34 (assume @p652 (forall @t583 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t173) (=> @t803 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t733 @t174))))) % 1.13/1.34 (assume @p653 (forall @t751 (=> @t175 (=> @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t27 @t768 @t741)))))) % 1.13/1.34 (assume @p654 (forall @t801 (=> @t175 (=> @t800 (=> @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t27 @t799 @t741))))))) % 1.13/1.34 (assume @p655 (forall @t787 (=> @t175 (=> (= @t741 @t739) (=> @t337 (=> @t336 (=> @t611 @t234))))))) % 1.13/1.34 (assume @p656 (forall @t801 (=> @t175 (=> @t802 (=> @t337 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t799 @t741))))))) % 1.13/1.34 (assume @p657 (forall @t797 (=> @t175 (=> @t796 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t795 @t794) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t186)))))) % 1.13/1.34 (assume @p658 (forall @t773 (=> @t175 (=> @t750 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t772 @t741) @t422))))) % 1.13/1.34 (assume @p659 (forall (@list @t173 @t65) (=> (not (= @t65 @t7)) (=> @t601 (exists @t23 (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 @t20 (tptp.hAPP (tptp.hAPP @t13 @t65) (tptp.hAPP (tptp.hAPP @t804 @t22) @t173)))) @t45)))))) % 1.13/1.34 (assume @p660 (forall @t47 (=> @t782 (= @t723 (tptp.c_Power_Opower_Opower @t27 @t28 @t60))))) % 1.13/1.34 (assume @p661 (forall @t759 (= @t758 (or @t420 @t756)))) % 1.13/1.34 (assume @p662 (forall @t749 (= (tptp.hBOOL @t813) (and (=> @t812 (tptp.hBOOL (tptp.hAPP @t585 @t806))) (=> @t811 (forall @t683 (=> (exists @t808 @t810) @t682))) (=> @t809 (forall @t683 (=> (exists @t808 @t807) @t682))))))) % 1.13/1.34 (assume @p663 (forall (@list @t817 @t54 @t814 @t815) (=> (= @t815 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t820 @t54) @t817)) (=> (and (=> @t818 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t817) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t817 @t814))) (=> @t819 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t814 @t817) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t817 @t806)))) (=> @t816 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t815 @t814) @t54)))))) % 1.13/1.34 (assume @p664 (forall @t825 (=> @t824 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t823) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t821 @t121))))) % 1.13/1.34 (assume @p665 (forall @t837 (=> @t836 (=> @t834 (=> @t832 (=> @t831 (=> @t829 (=> @t828 @t827)))))))) % 1.13/1.34 (assume @p666 (forall @t842 (=> @t841 (=> @t840 (=> @t839 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t830) @t838)))))) % 1.13/1.34 (assume @p667 (forall @t837 (=> @t836 (=> @t845 (=> @t844 (=> @t843 (=> @t829 (=> @t828 @t838)))))))) % 1.13/1.34 (assume @p668 (forall @t842 (=> @t841 (=> @t831 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t65) (=> @t832 @t827)))))) % 1.13/1.34 (assume @p669 (forall @t846 (=> @t834 (=> @t831 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t826 @t806)))))) % 1.13/1.34 (assume @p670 (forall @t846 (=> @t845 (=> @t844 (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t826)))))) % 1.13/1.34 (assume @p671 (forall @t851 (=> @t850 (=> @t849 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t128 @t26) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t847 @t277)))))) % 1.13/1.34 (assume @p672 (forall @t851 (=> @t850 (=> @t849 (=> @t843 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t277 @t847)))))) % 1.13/1.34 (assume @p673 (forall @t660 (= (tptp.hAPP (tptp.hAPP @t755 @t856) @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t855 @t853)))) % 1.13/1.34 (assume @p674 (forall @t860 (= (tptp.hAPP @t857 @t856) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t859 @t858)))) % 1.13/1.34 (assume @p675 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t755 @t847) @t117) @t117))) % 1.13/1.34 (assume @p676 (forall @t406 (= (tptp.hAPP @t861 @t847) @t117))) % 1.13/1.34 (assume @p677 (forall @t322 (= (tptp.hAPP @t861 @t115) (tptp.hAPP @t857 @t117)))) % 1.13/1.34 (assume @p678 (forall @t395 (= (tptp.hAPP (tptp.hAPP @t755 (tptp.hAPP @t854 @t391)) @t390) (tptp.hAPP @t854 (tptp.hAPP @t852 @t390))))) % 1.13/1.34 (assume @p679 (forall @t326 (=> @t863 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t323) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t862 @t324) (tptp.hAPP @t862 @t325)))))) % 1.13/1.34 (assume @p680 (forall @t431 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t427) (= (= (tptp.hAPP (tptp.hAPP @t755 @t427) @t419) @t847) (and (= @t427 @t847) (= @t419 @t847)))))) % 1.13/1.34 (assume @p681 (forall @t866 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t81 @t865 @t54) (tptp.c_Polynomial_Osmult @t27 @t26 @t864))))) % 1.13/1.34 (assume @p682 (forall @t494 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv @t81 @t56 @t868) (tptp.c_Divides_Odiv__class_Odiv @t81 @t864 @t117))))) % 1.13/1.34 (assume @p683 (forall (@list @t101 @t870 @t869 @t27) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t27 @t869 @t870) @t101) @t85) @t869))) % 1.13/1.34 (assume @p684 (forall @t866 (=> @t48 (=> @t34 (= (tptp.c_Divides_Odiv__class_Odiv @t81 @t56 @t871) (tptp.c_Polynomial_Osmult @t27 @t30 @t864)))))) % 1.13/1.34 (assume @p685 (forall (@list @t56 @t269 @t173 @t27) (=> @t872 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 (tptp.hAPP (tptp.hAPP @t279 (tptp.c_Polynomial_Omonom @t27 @t28 @t173)) @t269)) @t56) (tptp.hAPP (tptp.hAPP @t60 @t726) @t270))))) % 1.13/1.34 (assume @p686 (forall (@list @t173 @t26 @t128) (= (tptp.hAPP (tptp.hAPP @t804 (tptp.c_Complex_Orcis @t128 @t26)) @t173) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t720 @t128) @t173) (tptp.hAPP @t721 @t26))))) % 1.13/1.34 (assume @p687 (forall @t874 (=> @t611 (=> @t873 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t3) (= (tptp.hAPP (tptp.hAPP @t720 @t3) @t173) @t26) (forall (@list @t18) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t18) (= (tptp.hAPP (tptp.hAPP @t720 @t18) @t173) @t26)) (= @t18 @t3))))))))) % 1.13/1.34 (assume @p688 (forall (@list @t500 @t875) (= (= @t876 @t806) (or @t812 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t875) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t875 @t500)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t875 @t806) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t500 @t875)))))) % 1.13/1.34 (assume @p689 (forall @t881 (=> @t880 (= @t879 @t877)))) % 1.13/1.34 (assume @p690 (forall (@list @t875 @t500) (=> @t811 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t876) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t500 @t875))))) % 1.13/1.34 (assume @p691 (forall (@list @t99 @t101) (=> @t877 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t878) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t99 @t101) @t880))))) % 1.13/1.34 (assume @p692 (forall @t884 (=> @t883 (=> @t829 (=> @t828 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t882)))))) % 1.13/1.34 (assume @p693 (forall @t695 (=> @t883 (=> @t886 @t885)))) % 1.13/1.34 (assume @p694 (forall @t695 (=> @t883 (=> @t888 @t887)))) % 1.13/1.34 (assume @p695 (forall @t881 (=> @t889 (= @t879 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 @t806))))) % 1.13/1.34 (assume @p696 (forall @t695 (=> @t891 (=> @t890 @t885)))) % 1.13/1.34 (assume @p697 (forall @t884 (=> @t892 (=> @t829 (=> @t828 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t882 @t821)))))) % 1.13/1.34 (assume @p698 (forall @t695 (=> @t891 (=> @t893 @t887)))) % 1.13/1.34 (assume @p699 (forall @t896 (=> @t895 (=> @t890 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t894))))) % 1.13/1.34 (assume @p700 (forall @t896 (=> @t895 (=> @t886 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t894 @t821))))) % 1.13/1.34 (assume @p701 (forall (@list @t323 @t56) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t56) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t847 @t323) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t323) @t56))))) % 1.13/1.34 (assume @p702 (forall @t881 (=> @t880 (= @t897 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 @t806))))) % 1.13/1.34 (assume @p703 (forall @t881 (=> @t889 (= @t897 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t101))))) % 1.13/1.34 (assume @p704 (forall @t695 (=> @t892 (=> @t890 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t821 @t806))))) % 1.13/1.34 (assume @p705 (forall @t898 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t806 @t65) @t806))) % 1.13/1.34 (assume @p706 (forall @t899 (=> (not (= @t26 @t806)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t26) @t847)))) % 1.13/1.34 (assume @p707 (forall @t268 (=> @t901 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t56 @t54)))))) % 1.13/1.34 (assume @p708 (forall (@list @t99 @t419 @t101 @t27) (=> @t86 (= (= @t902 (tptp.c_Polynomial_Omonom @t27 @t99 @t419)) @t237)))) % 1.13/1.34 (assume @p709 (forall @t268 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t54) @t230 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t54 @t56)))) % 1.13/1.34 (assume @p710 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t847)) % 1.13/1.34 (assume @p711 (not (= @t806 @t847))) % 1.13/1.34 (assume @p712 (forall @t406 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t903 @t117) @t806)))) % 1.13/1.34 (assume @p713 (forall @t406 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t806 @t117) @t117))) % 1.13/1.34 (assume @p714 (forall @t406 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t117 @t806) @t117))) % 1.13/1.34 (assume @p715 (forall @t322 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t117 @t115) @t904))) % 1.13/1.34 (assume @p716 (forall @t655 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 @t117)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t117))))) % 1.13/1.34 (assume @p717 (forall @t395 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t856 @t390) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t393 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t391 @t390))))) % 1.13/1.34 (assume @p718 (forall (@list @t187 @t190) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t190 @t187) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t190 @t187) (not (= @t190 @t187)))))) % 1.13/1.34 (assume @p719 (forall @t326 (=> @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t324 @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t325 @t323))))) % 1.13/1.34 (assume @p720 (forall (@list @t117 @t905 @t115 @t906) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t906 @t115) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t905 @t117) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t906 @t905) @t904))))) % 1.13/1.34 (assume @p721 (forall @t322 (=> @t908 (=> @t907 @t327)))) % 1.13/1.34 (assume @p722 (forall @t326 (=> @t909 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t325 @t323) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t324 @t323))))) % 1.13/1.34 (assume @p723 (forall @t326 (=> @t909 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t323 @t324) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t323 @t325))))) % 1.13/1.34 (assume @p724 (forall @t322 (or @t908 @t907))) % 1.13/1.34 (assume @p725 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t115 @t115))) % 1.13/1.34 (assume @p726 (forall @t661 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t115 @t117) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t115 @t847) @t117)))) % 1.13/1.34 (assume @p727 (forall @t406 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t117) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t903)))) % 1.13/1.34 (assume @p728 (forall @t910 (= (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 @t847 @t190) @t190) @t806) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t190 @t806)))) % 1.13/1.34 (assume @p729 (forall @t912 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t187 @t847) @t190) @t911))) % 1.13/1.34 (assume @p730 (forall @t912 (= @t913 (or @t911 (= @t187 @t190))))) % 1.13/1.34 (assume @p731 (forall @t912 (= @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t187 @t190)))) % 1.13/1.34 (assume @p732 (forall @t910 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t847 @t190) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t806 @t190)))) % 1.13/1.34 (assume @p733 (forall @t769 (=> @t86 (= (tptp.c_Polynomial_Omonom @t27 @t32 @t173) @t82)))) % 1.13/1.34 (assume @p734 (forall @t783 (=> @t86 (= (= @t902 @t82) @t102)))) % 1.13/1.34 (assume @p735 (forall @t743 (=> @t272 (= (tptp.c_Polynomial_Osmult @t27 @t26 @t914) (tptp.c_Polynomial_Omonom @t27 @t69 @t173))))) % 1.13/1.34 (assume @p736 (forall @t787 (=> @t456 (= (tptp.c_Groups_Oplus__class_Oplus @t81 @t915 @t914) (tptp.c_Polynomial_Omonom @t27 @t439 @t173))))) % 1.13/1.34 (assume @p737 (forall @t899 (= (tptp.c_Complex_Orcis @t208 @t26) @t7))) % 1.13/1.34 (assume @p738 (forall (@list @t56 @t173 @t26 @t27) (=> @t70 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t915) @t56) (tptp.hAPP @t68 @t726))))) % 1.13/1.34 (assume @p739 (forall (@list @t173 @t65 @t174 @t26 @t27) (=> @t272 (= (tptp.hAPP (tptp.hAPP @t279 (tptp.c_Polynomial_Omonom @t27 @t26 @t174)) @t914) (tptp.c_Polynomial_Omonom @t27 @t69 @t624))))) % 1.13/1.34 (assume @p740 (forall @t920 (= (tptp.hAPP (tptp.hAPP @t13 @t919) @t918) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t58 @t917) @t916) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t65))))) % 1.13/1.34 (assume @p741 (forall @t713 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 (tptp.hAPP @t753 @t173))))) % 1.13/1.34 (assume @p742 (forall @t268 (=> @t901 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 (tptp.hAPP (tptp.hAPP @t755 @t56) @t54)))))) % 1.13/1.34 (assume @p743 (forall @t268 (=> @t901 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t56 @t54)))))) % 1.13/1.34 (assume @p744 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t806)) % 1.13/1.34 (assume @p745 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t847)) % 1.13/1.34 (assume @p746 (forall @t874 (=> @t611 (=> @t873 (exists (@list @t921) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t921) (= (tptp.hAPP (tptp.hAPP @t720 @t921) @t173) @t26))))))) % 1.13/1.34 (assume @p747 (forall @t713 (=> @t308 (= (tptp.c_Transcendental_Oln @t766) (tptp.hAPP @t721 @t922))))) % 1.13/1.34 (assume @p748 (forall @t318 (=> @t926 (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t924 @t923) @t317))))) % 1.13/1.34 (assume @p749 (forall @t318 (=> @t926 (=> @t925 (= (= @t924 @t923) @t314))))) % 1.13/1.34 (assume @p750 (forall @t301 (=> @t308 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t56)))) % 1.13/1.34 (assume @p751 (= (tptp.c_Transcendental_Oln @t45) @t208)) % 1.13/1.34 (assume @p752 (forall @t318 (=> @t926 (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t924 @t923) @t316))))) % 1.13/1.34 (assume @p753 (forall @t301 (=> @t719 @t927))) % 1.13/1.34 (assume @p754 (forall @t301 (=> @t929 @t928))) % 1.13/1.34 (assume @p755 (forall @t412 (=> @t926 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t208 @t924) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t45 @t37))))) % 1.13/1.34 (assume @p756 (forall @t412 (=> @t926 (= (= @t924 @t208) (= @t37 @t45))))) % 1.13/1.34 (assume @p757 (forall @t412 (=> @t926 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t924 @t208) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t37 @t45))))) % 1.13/1.34 (assume @p758 (forall @t301 (=> @t308 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t45) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t208))))) % 1.13/1.34 (assume @p759 (forall @t301 (=> @t928 (=> @t308 @t929)))) % 1.13/1.34 (assume @p760 (forall @t412 (=> @t926 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t924) @t718)))) % 1.13/1.34 (assume @p761 (forall @t301 (=> @t927 (=> @t308 @t719)))) % 1.13/1.34 (assume @p762 (forall @t268 (=> @t308 (=> @t408 (= (tptp.c_Transcendental_Oln @t407) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t922 @t930)))))) % 1.13/1.34 (assume @p763 (forall @t301 (=> @t692 (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 @t45 @t56)) @t56)))) % 1.13/1.34 (assume @p764 (forall (@list @t56 @t351) (=> @t932 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t704 @t931) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t351)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t56 @t351)) @t931)))))) % 1.13/1.34 (assume @p765 (forall @t936 (=> @t811 (= @t935 (forall @t747 (=> @t810 @t933)))))) % 1.13/1.34 (assume @p766 (forall @t778 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t939 @t121) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t121) @t938) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t26 @t121) @t937) @t121))))) % 1.13/1.34 (assume @p767 (forall @t899 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t26 @t806) @t806) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t26 @t806) @t26)))) % 1.13/1.34 (assume @p768 (forall @t695 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t940 @t65) @t806))) % 1.13/1.34 (assume @p769 (forall @t941 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t427 @t485) @t806) (exists @t615 (= @t427 (tptp.hAPP (tptp.hAPP @t755 @t485) @t612)))))) % 1.13/1.34 (assume @p770 (forall @t163 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t67 @t65) @t32)))) % 1.13/1.34 (assume @p771 (forall @t71 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t69 @t65) @t32)))) % 1.13/1.34 (assume @p772 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t28) @t32)))) % 1.13/1.34 (assume @p773 (forall @t123 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t790 @t65) @t942)))) % 1.13/1.34 (assume @p774 (forall @t364 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t791 @t65) @t942)))) % 1.13/1.34 (assume @p775 (forall @t71 (=> @t770 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t942 @t65) @t32)))) % 1.13/1.34 (assume @p776 (forall @t583 (=> @t611 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t943 @t173)))) % 1.13/1.34 (assume @p777 (forall @t941 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t427 @t485) @t85) (exists @t615 (= @t427 (tptp.hAPP (tptp.hAPP @t503 @t485) @t612)))))) % 1.13/1.34 (assume @p778 (forall (@list @t174 @t173 @t323) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t650 @t174) @t173) @t943))) % 1.13/1.34 (assume @p779 (forall @t949 (=> @t770 (=> @t948 (=> @t946 (= @t944 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t480 @t495) @t121))))))) % 1.13/1.34 (assume @p780 (forall @t364 (=> @t770 (= @t950 @t944)))) % 1.13/1.34 (assume @p781 (forall @t123 (=> @t770 (= @t951 @t944)))) % 1.13/1.34 (assume @p782 (forall @t123 (=> @t770 (= @t944 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t947 @t945) @t121))))) % 1.13/1.34 (assume @p783 (forall @t123 (=> @t770 (= @t944 @t950)))) % 1.13/1.34 (assume @p784 (forall @t123 (=> @t770 (= @t944 @t951)))) % 1.13/1.34 (assume @p785 (forall @t163 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t451 @t65) @t942)))) % 1.13/1.34 (assume @p786 (forall @t71 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t439 @t65) @t942)))) % 1.13/1.34 (assume @p787 (forall @t953 (=> @t890 @t952))) % 1.13/1.34 (assume @p788 (forall @t953 (=> @t886 @t954))) % 1.13/1.34 (assume @p789 (forall @t425 @t955)) % 1.13/1.34 (assume @p790 (forall @t898 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t806 @t65) @t806))) % 1.13/1.34 (assume @p791 (forall @t899 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t26 @t26) @t806))) % 1.13/1.34 (assume @p792 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t32 @t26) @t32)))) % 1.13/1.34 (assume @p793 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t32) @t26)))) % 1.13/1.34 (assume @p794 (forall @t36 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t26) @t32)))) % 1.13/1.34 (assume @p795 (forall @t425 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t943 @t174))) % 1.13/1.34 (assume @p796 (forall @t268 (=> @t901 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t56 @t54)))))) % 1.13/1.34 (assume @p797 (forall (@list @t323 @t174) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t174) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t174 @t323) @t174)))) % 1.13/1.34 (assume @p798 (forall @t778 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t26 @t65) @t121) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t26 @t121) @t957) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t26 @t121) @t956) @t121))))) % 1.13/1.34 (assume @p799 (forall @t71 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t942 @t65) @t942)))) % 1.13/1.34 (assume @p800 (forall @t123 (=> @t770 (= @t958 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.hAPP @t68 @t945) @t121))))) % 1.13/1.34 (assume @p801 (forall @t123 (=> @t770 (= @t958 @t960)))) % 1.13/1.34 (assume @p802 (forall @t123 (=> @t770 (= @t958 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.hAPP @t959 @t945) @t121))))) % 1.13/1.34 (assume @p803 (forall @t182 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t136 @t135) (tptp.hAPP @t134 @t942))))) % 1.13/1.34 (assume @p804 (forall @t364 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t143 @t142) (tptp.hAPP (tptp.hAPP @t60 @t942) @t121))))) % 1.13/1.34 (assume @p805 (forall @t364 (=> @t770 (= @t960 @t958)))) % 1.13/1.34 (assume @p806 (forall @t949 (=> @t770 (=> @t948 (=> @t946 (= @t958 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.hAPP @t481 @t495) @t121))))))) % 1.13/1.34 (assume @p807 (forall @t778 (= @t964 @t962))) % 1.13/1.34 (assume @p808 (forall @t778 (= @t962 @t964))) % 1.13/1.34 (assume @p809 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t503 @t943) @t323) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t645 @t644)))) % 1.13/1.34 (assume @p810 (forall @t652 (= (tptp.hAPP @t608 @t943) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t651 @t650)))) % 1.13/1.34 (assume @p811 (forall @t966 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t752 @t965) @t54) @t174) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t754 @t174)))) % 1.13/1.34 (assume @p812 (forall @t123 (=> @t770 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t968 @t121) @t434)))) % 1.13/1.34 (assume @p813 (forall @t141 (=> @t770 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t969 @t121) @t434)))) % 1.13/1.34 (assume @p814 (forall @t71 (=> @t770 (= @t968 @t26)))) % 1.13/1.34 (assume @p815 (forall @t163 (=> @t770 (= @t969 @t26)))) % 1.13/1.34 (assume @p816 (forall @t71 (=> @t770 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t942 @t967) @t26)))) % 1.13/1.34 (assume @p817 (forall @t583 (=> @t611 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t943 @t173)))) % 1.13/1.34 (assume @p818 (forall @t695 (=> @t891 (=> @t893 @t970)))) % 1.13/1.34 (assume @p819 (forall @t953 (=> @t886 (and @t971 @t954)))) % 1.13/1.34 (assume @p820 (forall @t953 (=> @t886 @t971))) % 1.13/1.34 (assume @p821 (forall @t695 (=> @t883 (=> @t888 @t970)))) % 1.13/1.34 (assume @p822 (forall @t953 (=> @t890 (and @t972 @t952)))) % 1.13/1.34 (assume @p823 (forall @t953 (=> @t890 @t972))) % 1.13/1.34 (assume @p824 (forall @t778 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t973 @t65) @t121) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t973 @t957) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t973 @t956) @t121))))) % 1.13/1.34 (assume @p825 (forall @t778 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t26 @t777) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t776 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t775 @t121)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t26 @t65))))) % 1.13/1.34 (assume @p826 (forall @t695 (= @t26 @t974))) % 1.13/1.34 (assume @p827 (forall @t778 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t961 @t121) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t848 @t938) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t963 @t121))))) % 1.13/1.34 (assume @p828 (forall (@list @t323 @t26 @t65) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t974 @t323) @t975))) % 1.13/1.34 (assume @p829 (forall (@list @t323 @t65 @t26) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t755 @t821) @t65) @t940) @t323) @t975))) % 1.13/1.34 (assume @p830 (forall @t749 (= (tptp.hBOOL (tptp.hAPP @t585 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t419 @t500))) (and (=> @t576 @t684) (=> @t748 (forall @t747 (=> @t746 (=> @t745 @t976)))))))) % 1.13/1.34 (assume @p831 (forall @t977 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t121) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t128 @t65) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t776 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t277 @t121)) @t128) @t777))))) % 1.13/1.34 (assume @p832 (forall @t695 (=> @t850 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t939 @t806) (= @t940 @t939))))) % 1.13/1.34 (assume @p833 (forall @t749 (= (tptp.hBOOL (tptp.hAPP @t585 @t934)) (and (=> @t812 @t684) (=> @t811 (forall @t747 (=> @t810 @t976))) (=> @t809 (forall @t747 (=> @t807 @t976))))))) % 1.13/1.34 (assume @p834 (forall @t977 (=> @t824 (=> @t843 (=> @t832 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t978)))))) % 1.13/1.34 (assume @p835 (forall @t977 (=> @t824 (=> @t843 (=> @t832 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t978 @t823)))))) % 1.13/1.34 (assume @p836 (forall @t979 (=> @t824 (=> @t839 (=> @t840 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t823 @t978)))))) % 1.13/1.34 (assume @p837 (forall @t979 (=> @t824 (=> @t839 (=> @t840 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t978 @t806)))))) % 1.13/1.34 (assume @p838 (forall (@list @t54 @t980 @t814 @t815) (=> (= @t815 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t820 @t980) @t54)) (=> (and (=> @t818 (and @t900 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t54 @t814))) (=> @t819 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t814 @t54) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t54 @t806)))) (=> @t816 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t815 @t814) @t54)))))) % 1.13/1.34 (assume @p839 (forall @t825 (=> @t824 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t26 @t823) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t821 @t121)) @t940))))) % 1.13/1.34 (assume @p840 (forall @t936 (=> @t809 (= @t935 (forall @t747 (=> @t807 @t933)))))) % 1.13/1.34 (assume @p841 (forall (@list @t173 @t351) (=> @t932 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t351 @t173) (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t173 @t351)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t697 @t931)))))) % 1.13/1.34 (assume @p842 (forall @t699 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t45))) % 1.13/1.34 (assume @p843 (forall @t301 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t56 @t56))) % 1.13/1.34 (assume @p844 (forall @t36 (=> @t70 (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t32)))) % 1.13/1.34 (assume @p845 (forall @t866 (=> @t48 (=> @t34 (= (tptp.c_Divides_Odiv__class_Omod @t81 @t56 @t871) @t982))))) % 1.13/1.34 (assume @p846 (forall @t105 (=> @t770 (= @t983 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t99 @t101) @t32))))) % 1.13/1.34 (assume @p847 (forall @t71 (=> @t770 (=> @t984 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t65 @t26) @t32))))) % 1.13/1.34 (assume @p848 (forall @t949 (=> @t987 (=> @t948 (=> @t946 (= @t986 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t480 @t495) @t121))))))) % 1.13/1.34 (assume @p849 (forall @t991 (=> @t770 (=> @t990 (=> @t989 @t988))))) % 1.13/1.34 (assume @p850 (forall @t991 (=> @t770 (=> @t988 (=> @t989 @t990))))) % 1.13/1.34 (assume @p851 (forall @t185 (=> @t770 (=> @t992 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t942 @t121) @t947))))) % 1.13/1.34 (assume @p852 (forall (@list @t427 @t419 @t500 @t27) (=> @t770 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t500 @t419) (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t500 (tptp.c_Divides_Odiv__class_Omod @t27 @t427 @t419)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t500 @t427)))))) % 1.13/1.34 (assume @p853 (forall @t123 (=> @t987 (= @t986 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t947 @t945) @t121))))) % 1.13/1.34 (assume @p854 (forall @t123 (=> @t987 (= @t986 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t947 @t65) @t121))))) % 1.13/1.34 (assume @p855 (forall @t123 (=> @t987 (= @t986 (tptp.c_Divides_Odiv__class_Omod @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t945) @t121))))) % 1.13/1.34 (assume @p856 (forall @t866 (=> @t48 (= (tptp.c_Divides_Odiv__class_Omod @t81 @t865 @t54) (tptp.c_Polynomial_Osmult @t27 @t26 @t982))))) % 1.13/1.34 (assume @p857 (forall (@list @t173 @t54 @t56 @t27) (=> @t70 (=> @t994 (tptp.c_Rings_Odvd__class_Odvd @t27 @t726 @t993))))) % 1.13/1.34 (assume @p858 (forall @t479 (=> @t106 (= (tptp.hAPP (tptp.hAPP @t60 @t995) @t476) (tptp.c_Groups_Ominus__class_Ominus @t27 @t478 @t477))))) % 1.13/1.34 (assume @p859 (forall @t483 (=> @t106 (= (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t480)) @t65) (tptp.c_Groups_Ominus__class_Ominus @t27 @t69 @t482))))) % 1.13/1.34 (assume @p860 (forall @t493 (=> @t106 (= (tptp.hAPP @t490 @t995) (tptp.c_Groups_Ominus__class_Ominus @t27 @t492 @t491))))) % 1.13/1.34 (assume @p861 (forall @t497 (=> @t106 (= (tptp.hAPP @t68 (tptp.c_Groups_Ominus__class_Ominus @t27 @t65 @t495)) (tptp.c_Groups_Ominus__class_Ominus @t27 @t69 @t496))))) % 1.13/1.34 (assume @p862 (forall @t123 (=> @t70 (=> @t997 @t996)))) % 1.13/1.34 (assume @p863 (forall @t123 (=> @t70 (=> @t997 @t998)))) % 1.13/1.34 (assume @p864 (forall (@list @t323 @t65 @t26 @t27) (=> @t999 (=> (= @t26 (tptp.hAPP @t66 @t323)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t65 @t26))))) % 1.13/1.34 (assume @p865 (forall @t355 (=> @t70 (=> @t984 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t121 @t351) (tptp.c_Rings_Odvd__class_Odvd @t27 @t143 @t352)))))) % 1.13/1.34 (assume @p866 (forall @t364 (=> @t70 (=> @t998 @t1000)))) % 1.13/1.34 (assume @p867 (forall @t123 (=> @t70 (=> @t984 @t1000)))) % 1.13/1.34 (assume @p868 (forall @t71 (=> @t70 (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t67)))) % 1.13/1.34 (assume @p869 (forall @t71 (=> @t70 (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t69)))) % 1.13/1.34 (assume @p870 (forall @t479 (=> @t241 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t995 @t476) (tptp.c_Groups_Ominus__class_Ominus @t27 @t499 @t498))))) % 1.13/1.34 (assume @p871 (forall @t123 (=> @t35 (= (tptp.c_Rings_Oinverse__class_Odivide @t27 @t985 @t121) (tptp.c_Groups_Ominus__class_Ominus @t27 @t250 @t122))))) % 1.13/1.34 (assume @p872 (forall @t71 (=> @t209 (= @t1002 (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1001))))) % 1.13/1.34 (assume @p873 (forall @t36 (=> @t70 (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t26)))) % 1.13/1.34 (assume @p874 (forall @t123 (=> @t70 (=> @t984 (=> @t996 @t998))))) % 1.13/1.34 (assume @p875 (forall @t494 (=> @t872 (=> @t994 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t56 @t117) (tptp.c_Rings_Odvd__class_Odvd @t27 @t56 (tptp.c_Groups_Ominus__class_Ominus @t27 @t54 @t117))))))) % 1.13/1.34 (assume @p876 (forall @t282 (=> @t1004 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t1003) @t56) (tptp.c_Groups_Ominus__class_Ominus @t27 @t270 @t278))))) % 1.13/1.34 (assume @p877 (forall @t275 (=> @t1004 (= (tptp.c_Polynomial_Osmult @t27 @t985 @t269) (tptp.c_Groups_Ominus__class_Ominus @t81 @t271 @t274))))) % 1.13/1.34 (assume @p878 (forall @t488 (=> @t1007 (=> @t1006 (= @t237 @t487))))) % 1.13/1.34 (assume @p879 (forall @t318 (= @t314 (and @t1009 @t1008)))) % 1.13/1.34 (assume @p880 (forall @t318 (= @t1009 (or @t1010 @t314)))) % 1.13/1.34 (assume @p881 (forall @t318 (= @t1010 (and @t1009 @t315)))) % 1.13/1.34 (assume @p882 (forall @t695 (=> @t594 (=> @t1012 @t1013)))) % 1.13/1.34 (assume @p883 (forall @t268 (=> @t230 @t1014))) % 1.13/1.34 (assume @p884 (forall (@list @t37 @t186) (=> @t1008 (= @t1009 @t314)))) % 1.13/1.34 (assume @p885 (forall @t268 (=> @t1014 (or @t1016 @t230)))) % 1.13/1.34 (assume @p886 (forall @t695 (=> @t1012 (=> @t594 @t1013)))) % 1.13/1.34 (assume @p887 (forall @t778 (=> @t234 (=> @t1018 @t1017)))) % 1.13/1.34 (assume @p888 (forall @t778 (=> @t1012 (=> @t449 @t1017)))) % 1.13/1.34 (assume @p889 (forall @t425 (=> @t1020 (=> @t1019 @t423)))) % 1.13/1.34 (assume @p890 (forall @t268 (=> @t1014 (=> @t1015 @t230)))) % 1.13/1.34 (assume @p891 (forall @t655 (=> @t1014 (=> @t1022 @t1021)))) % 1.13/1.34 (assume @p892 (forall @t778 (=> @t234 (=> (and @t1018 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t121 @t65))) @t1023)))) % 1.13/1.34 (assume @p893 (forall @t655 (=> @t1014 @t1025))) % 1.13/1.34 (assume @p894 (forall @t268 (=> @t1016 @t231))) % 1.13/1.34 (assume @p895 (forall @t268 (=> @t1016 (not (and @t1015 (not @t1014)))))) % 1.13/1.34 (assume @p896 (forall @t268 (=> @t1016 @t1014))) % 1.13/1.34 (assume @p897 (forall @t268 (=> @t1016 @t565))) % 1.13/1.34 (assume @p898 (forall @t778 (=> @t1013 (=> @t449 @t1023)))) % 1.13/1.34 (assume @p899 (forall @t655 (=> @t1016 (=> @t1022 @t1024)))) % 1.13/1.34 (assume @p900 (forall @t695 (=> @t1013 (not (and @t1011 (not @t1012)))))) % 1.13/1.34 (assume @p901 (forall @t655 (=> @t1016 @t1025))) % 1.13/1.34 (assume @p902 (forall @t513 (= @t1027 (or @t576 @t1026)))) % 1.13/1.34 (assume @p903 (forall @t425 (=> @t803 (=> @t424 (not @t1019))))) % 1.13/1.34 (assume @p904 (forall @t318 (= @t316 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t37 @t186) @t208)))) % 1.13/1.34 (assume @p905 (forall (@list @t419 @t500) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t500 @t662) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t500 @t419)))) % 1.13/1.34 (assume @p906 (forall @t123 (=> @t70 (=> @t984 (=> @t998 (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t438)))))) % 1.13/1.34 (assume @p907 (forall @t488 (=> @t1028 (=> @t1006 (= @t164 (tptp.c_Orderings_Oord__class_Oless @t27 @t155 @t485)))))) % 1.13/1.34 (assume @p908 (forall @t71 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t439 @t65) @t26)))) % 1.13/1.34 (assume @p909 (forall @t71 (=> @t1029 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t985 @t65) @t26)))) % 1.13/1.34 (assume @p910 (forall @t787 (=> @t1007 (= (tptp.c_Groups_Ominus__class_Ominus @t81 @t915 @t914) (tptp.c_Polynomial_Omonom @t27 @t985 @t173))))) % 1.13/1.34 (assume @p911 (forall @t488 (=> @t1028 (=> @t1006 (= @t373 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t155 @t485)))))) % 1.13/1.34 (assume @p912 (forall @t36 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t32) @t26)))) % 1.13/1.34 (assume @p913 (forall @t36 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t26) @t32)))) % 1.13/1.34 (assume @p914 (forall @t105 (=> @t1007 (= @t237 @t1030)))) % 1.13/1.34 (assume @p915 (forall @t105 (=> @t1029 (= @t1030 @t237)))) % 1.13/1.34 (assume @p916 (forall @t36 (=> @t70 (tptp.c_Rings_Odvd__class_Odvd @t27 @t28 @t26)))) % 1.13/1.34 (assume @p917 (forall @t36 (=> @t70 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t32 @t26) @t33)))) % 1.13/1.34 (assume @p918 (forall @t71 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1031 @t1002)))) % 1.13/1.34 (assume @p919 (forall (@list @t427) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t427 @t579) @t648))) % 1.13/1.34 (assume @p920 (forall @t1037 (=> @t1036 (= @t1035 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t61 @t1034) @t1033))))) % 1.13/1.34 (assume @p921 (forall @t1037 (=> @t106 (= @t1035 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t1032 @t1034) @t1033) (tptp.hAPP @t68 @t1034)))))) % 1.13/1.34 (assume @p922 (forall @t1043 (=> @t1036 (= @t1042 (= @t155 @t1039))))) % 1.13/1.34 (assume @p923 (forall @t1043 (=> @t1036 (= @t1042 (= @t1044 @t485))))) % 1.13/1.34 (assume @p924 (forall @t105 (=> @t1028 (= @t164 (tptp.c_Orderings_Oord__class_Oless @t27 @t1005 @t32))))) % 1.13/1.34 (assume @p925 (forall @t105 (=> @t1028 (= @t373 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t1005 @t32))))) % 1.13/1.34 (assume @p926 (forall (@list @t173 @t56 @t54 @t27) (=> @t770 (=> @t1046 (= (tptp.hAPP (tptp.hAPP @t723 @t1045) @t173) (tptp.c_Divides_Odiv__class_Odiv @t27 @t726 @t993)))))) % 1.13/1.34 (assume @p927 (forall (@list @t174 @t65 @t173 @t26 @t27) (=> @t70 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t741 @t65) (=> @t422 (tptp.c_Rings_Odvd__class_Odvd @t27 @t772 @t65)))))) % 1.13/1.34 (assume @p928 (forall (@list @t174 @t173 @t54 @t56 @t27) (=> @t70 (=> @t994 (=> @t631 (tptp.c_Rings_Odvd__class_Odvd @t27 @t726 (tptp.hAPP @t729 @t174))))))) % 1.13/1.34 (assume @p929 (forall (@list @t26 @t173 @t174 @t27) (=> @t70 (=> @t422 (tptp.c_Rings_Odvd__class_Odvd @t27 @t772 @t741))))) % 1.13/1.34 (assume @p930 (forall @t537 (=> @t770 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t117 @t56) (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t117 @t54) (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t452 @t117) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Divides_Odiv__class_Odiv @t27 @t56 @t117) (tptp.c_Divides_Odiv__class_Odiv @t27 @t54 @t117)))))))) % 1.13/1.34 (assume @p931 (forall (@list @t115 @t117 @t56 @t54 @t27) (=> @t770 (=> @t1046 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t117 @t115) (= (tptp.hAPP (tptp.hAPP @t60 @t1045) (tptp.c_Divides_Odiv__class_Odiv @t27 @t115 @t117)) (tptp.c_Divides_Odiv__class_Odiv @t27 (tptp.hAPP @t61 @t115) @t538))))))) % 1.13/1.34 (assume @p932 (forall @t123 (=> @t770 (=> @t984 (= (tptp.hAPP @t1048 @t121) (tptp.c_Divides_Odiv__class_Odiv @t27 @t142 @t26)))))) % 1.13/1.34 (assume @p933 (forall @t71 (=> @t770 (=> @t984 (= (tptp.hAPP @t1048 @t26) @t65))))) % 1.13/1.34 (assume @p934 (forall @t185 (=> @t770 (=> @t992 (= (tptp.hAPP @t68 (tptp.c_Divides_Odiv__class_Odiv @t27 @t65 @t121)) (tptp.c_Divides_Odiv__class_Odiv @t27 @t69 @t121)))))) % 1.13/1.34 (assume @p935 (forall @t71 (=> @t770 (=> @t984 (= (tptp.hAPP @t68 @t1047) @t65))))) % 1.13/1.34 (assume @p936 (forall @t161 (=> @t276 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t158 @t157) @t1049)))) % 1.13/1.34 (assume @p937 (forall @t170 (=> @t276 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t169 @t168) @t1049)))) % 1.13/1.34 (assume @p938 (forall @t206 (=> @t770 (=> @t983 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t101 @t155) (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t1050 (tptp.c_Divides_Odiv__class_Odiv @t27 @t155 @t101)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t99 @t155))))))) % 1.13/1.34 (assume @p939 (forall @t206 (=> @t770 (=> @t1051 (=> @t983 (= (= @t1050 @t155) (= @t99 @t158))))))) % 1.13/1.34 (assume @p940 (forall (@list @t485 @t99 @t155 @t101 @t27) (=> @t770 (=> @t1051 (=> @t200 (=> @t983 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t155 @t485) (= (= @t1050 (tptp.c_Divides_Odiv__class_Odiv @t27 @t485 @t155)) (= @t168 @t486))))))))) % 1.13/1.34 (assume @p941 (forall @t1043 (=> @t342 (= @t1052 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t1044 @t485))))) % 1.13/1.34 (assume @p942 (forall @t1043 (=> @t342 (= @t1052 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t155 @t1039))))) % 1.13/1.34 (assume @p943 (forall @t1043 (=> @t342 (= @t1053 (tptp.c_Orderings_Oord__class_Oless @t27 @t1044 @t485))))) % 1.13/1.34 (assume @p944 (forall @t1043 (=> @t342 (= @t1053 (tptp.c_Orderings_Oord__class_Oless @t27 @t155 @t1039))))) % 1.13/1.34 (assume @p945 (forall @t107 (=> (tptp.class_Rings_Oring__1 @t27) (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t616 @t28) (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t28)) (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t28)))))) % 1.13/1.34 (assume @p946 (forall @t537 (=> @t48 (=> @t536 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t535) (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t534 @t54) @t117)))))) % 1.13/1.34 (assume @p947 (forall @t537 (=> @t48 (=> @t536 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t381 @t54) (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t218) @t117)))))) % 1.13/1.34 (assume @p948 (forall @t541 (=> @t48 (=> @t533 (=> @t536 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t119 @t540) (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t118 @t539) @t538))))))) % 1.13/1.34 (assume @p949 (forall @t71 (=> @t35 (=> @t34 (=> @t98 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t30 @t124) (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t125 @t1001)) @t124))))))) % 1.13/1.34 (assume @p950 (forall @t71 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1031 (tptp.c_RealVector_Onorm__class_Onorm @t27 @t439))))) % 1.13/1.34 (assume @p951 (forall @t71 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1002 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 @t248))))) % 1.13/1.34 (assume @p952 (forall (@list @t173 @t323) (=> @t1054 (=> @t611 @t640)))) % 1.13/1.34 (assume @p953 (forall @t513 (=> @t501 (= @t1027 @t1026)))) % 1.13/1.34 (assume @p954 (forall @t652 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t651 @t650) (=> @t606 @t1020)))) % 1.13/1.34 (assume @p955 (forall @t953 (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 @t65 @t26)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t65)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t26)))) % 1.13/1.34 (assume @p956 (forall @t494 (=> @t48 (= (tptp.c_Divides_Odiv__class_Omod @t81 @t56 @t868) (tptp.c_Groups_Oplus__class_Oplus @t81 (tptp.hAPP @t867 (tptp.c_Divides_Odiv__class_Omod @t81 @t864 @t117)) @t982))))) % 1.13/1.34 (assume @p957 (forall (@list @t56 @t173 @t27) (=> @t70 (=> (or @t611 (= @t56 @t28)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t56 @t726))))) % 1.13/1.34 (assume @p958 (forall @t920 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t919 @t918) (tptp.c_Complex_Orcis (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t917 @t916) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t26 @t65))))) % 1.13/1.34 (assume @p959 (forall @t355 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t439 @t435)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1056) (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1055)))))) % 1.13/1.34 (assume @p960 (forall @t431 (=> @t597 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t504 @t427) @t427) @t647)))) % 1.13/1.34 (assume @p961 (forall @t431 (=> @t597 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t575 @t427) @t647)))) % 1.13/1.34 (assume @p962 (forall @t268 (=> @t308 (=> @t408 (= (tptp.c_Transcendental_Oln @t310) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t922 @t930)))))) % 1.13/1.34 (assume @p963 (forall @t763 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t762 @t761) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t324) @t422)))) % 1.13/1.34 (assume @p964 (forall @t301 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t56 @t45) @t702))) % 1.13/1.34 (assume @p965 (forall @t699 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t208 @t981))) % 1.13/1.34 (assume @p966 (forall (@list @t1057 @t351 @t121 @t65 @t26 @t27) (=> (tptp.class_RealVector_Oreal__field @t27) (= (tptp.c_Rings_Oinverse__class_Odivide @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t69 (tptp.hAPP @t134 @t351)) @t1057) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t68 (tptp.c_Rings_Oinverse__class_Odivide @t27 @t1055 @t1057)) (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Rings_Oinverse__class_Odivide @t27 @t1056 @t1057)) @t351)))))) % 1.13/1.34 (assume @p967 (forall (@list @t1058 @t1059 @t485 @t27) (=> (and @t1004 @t999) (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t485 @t1059) (forall (@list @t3 @t629) (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t485 (tptp.c_Groups_Oplus__class_Oplus @t27 @t3 @t1058)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t485 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t3 (tptp.hAPP (tptp.hAPP @t60 @t629) @t1059)) @t1058)))))))) % 1.13/1.34 (assume @p968 (forall @t425 @t1062)) % 1.13/1.34 (assume @p969 (forall @t425 (and @t955 @t1062))) % 1.13/1.34 (assume @p970 (forall @t583 (=> @t631 @t1061))) % 1.13/1.34 (assume @p971 (forall @t652 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t323 @t1063) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t323 @t173) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t323 @t174))))) % 1.13/1.34 (assume @p972 (forall (@list @t173 @t174 @t1064) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1064 @t174) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1064 @t173) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1064 @t1063))))) % 1.13/1.34 (assume @p973 (forall @t966 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t965 @t54) @t174) @t1065))) % 1.13/1.34 (assume @p974 (forall (@list @t174 @t54 @t56) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t56 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t54 @t174)) @t174) @t1065))) % 1.13/1.34 (assume @p975 (forall (@list @t186 @t419 @t37) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t37 @t419) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t186 @t419)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t419 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t37 @t186))))) % 1.13/1.34 (assume @p976 (forall @t860 (= (tptp.hAPP @t857 @t1066) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t859 @t858)))) % 1.13/1.34 (assume @p977 (forall @t660 (= (tptp.hAPP (tptp.hAPP @t755 @t1066) @t115) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t855 @t853)))) % 1.13/1.34 (assume @p978 (forall @t652 (= (tptp.hAPP @t608 @t1060) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t651 @t650)))) % 1.13/1.34 (assume @p979 (forall @t646 (= (tptp.hAPP (tptp.hAPP @t503 @t1060) @t323) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t645 @t644)))) % 1.13/1.34 (assume @p980 (forall @t291 (=> @t70 (=> (tptp.c_Rings_Odvd__class_Odvd @t81 @t271 @t277) @t1067)))) % 1.13/1.34 (assume @p981 (forall (@list @t26 @t277 @t269 @t27) (=> @t70 (=> @t1067 (tptp.c_Rings_Odvd__class_Odvd @t81 @t269 @t290))))) % 1.13/1.34 (assume @p982 (forall @t291 (=> @t1004 (= (tptp.c_Polynomial_Osmult @t27 @t26 @t1003) (tptp.c_Groups_Ominus__class_Ominus @t81 @t271 @t290))))) % 1.13/1.34 (assume @p983 (forall @t652 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t323 @t174) (=> @t1054 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t323 @t1060))))) % 1.13/1.34 (assume @p984 (forall (@list @t324 @t325 @t323) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t325) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t658 @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t325 @t323) @t324))))) % 1.13/1.34 (assume @p985 (forall @t1071 (=> @t1070 (tptp.class_Groups_Ocancel__comm__monoid__add @t1069)))) % 1.13/1.34 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p987 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p990 (forall @t1074 (=> (tptp.class_Orderings_Opreorder @t1068) (tptp.class_Orderings_Opreorder @t1073)))) % 1.13/1.34 (assume @p991 (forall @t1074 (=> (tptp.class_Orderings_Oorder @t1068) (tptp.class_Orderings_Oorder @t1073)))) % 1.13/1.34 (assume @p992 (forall @t1074 (=> (tptp.class_Orderings_Oord @t1068) (tptp.class_Orderings_Oord @t1073)))) % 1.13/1.34 (assume @p993 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p994 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p996 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p997 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p998 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1000 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1001 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1002 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1003 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1004 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1005 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1006 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1007 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1008 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1009 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1010 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1011 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1012 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1013 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1015 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1016 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1017 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1018 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1019 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1020 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1022 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1023 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1024 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1025 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1026 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1027 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1028 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1029 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1030 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1031 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1032 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1033 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1034 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1035 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1036 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1037 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1038 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1039 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1040 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1041 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1042 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1048 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.13/1.34 (assume @p1049 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1050 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1051 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1052 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1053 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1055 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1056 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1057 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1058 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1059 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1060 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1061 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1062 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1063 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1064 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1065 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1066 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1068 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1070 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1071 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1072 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1073 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1074 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1075 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1076 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1077 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1082 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1083 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1084 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1085 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.13/1.34 (assume @p1086 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.13/1.34 (assume @p1087 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.13/1.34 (assume @p1088 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.13/1.34 (assume @p1089 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1090 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1091 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1092 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1093 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1094 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1095 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1096 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1097 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1098 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1099 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1100 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1101 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1102 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1103 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1104 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1105 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1106 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1107 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1108 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1109 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1110 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1111 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1112 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1113 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1114 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1115 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1116 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1117 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1119 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1120 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1121 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1122 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1123 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1124 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1125 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1126 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1127 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1128 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1129 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1130 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1131 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1132 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1133 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1134 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1135 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1136 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1137 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1138 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1139 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1140 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1141 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1142 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1143 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1144 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1145 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1146 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1147 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1148 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1149 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1150 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1151 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1152 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1153 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1154 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.13/1.34 (assume @p1155 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1156 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1157 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1158 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1159 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1160 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1161 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1162 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1163 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1164 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1165 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1166 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1167 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1168 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1169 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1170 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1171 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1172 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1173 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1174 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1175 @t1075) % 1.13/1.34 (assume @p1176 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1177 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1178 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1179 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1180 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1181 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1182 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1183 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1184 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1185 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1186 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1187 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1188 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1189 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1190 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1191 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1192 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1193 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1194 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1195 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (assume @p1196 (forall @t1071 (=> @t1076 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1069)))) % 1.13/1.34 (assume @p1197 (forall @t1071 (=> @t1077 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1069)))) % 1.13/1.34 (assume @p1198 (forall @t1071 (=> @t1077 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1069)))) % 1.13/1.34 (assume @p1199 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1069)))) % 1.13/1.34 (assume @p1200 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__semiring__1__strict @t1069)))) % 1.13/1.34 (assume @p1201 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__semiring__strict @t1069)))) % 1.13/1.34 (assume @p1202 (forall @t1071 (=> @t1077 (tptp.class_Groups_Oordered__ab__semigroup__add @t1069)))) % 1.13/1.34 (assume @p1203 (forall @t1071 (=> @t1077 (tptp.class_Groups_Oordered__comm__monoid__add @t1069)))) % 1.13/1.34 (assume @p1204 (forall @t1071 (=> @t1077 (tptp.class_Groups_Olinordered__ab__group__add @t1069)))) % 1.13/1.34 (assume @p1205 (forall @t1071 (=> @t1070 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1069)))) % 1.13/1.34 (assume @p1206 (forall @t1071 (=> @t1076 (tptp.class_Rings_Oring__1__no__zero__divisors @t1069)))) % 1.13/1.34 (assume @p1207 (forall @t1071 (=> @t1077 (tptp.class_Rings_Oordered__cancel__semiring @t1069)))) % 1.13/1.34 (assume @p1208 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__ring__strict @t1069)))) % 1.13/1.34 (assume @p1209 (forall @t1071 (=> @t1076 (tptp.class_Rings_Oring__no__zero__divisors @t1069)))) % 1.13/1.34 (assume @p1210 (forall @t1071 (=> @t1077 (tptp.class_Rings_Oordered__comm__semiring @t1069)))) % 1.13/1.34 (assume @p1211 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__semiring__1 @t1069)))) % 1.13/1.34 (assume @p1212 (forall @t1071 (=> @t1077 (tptp.class_Groups_Oordered__ab__group__add @t1069)))) % 1.13/1.34 (assume @p1213 (forall @t1071 (=> @t1070 (tptp.class_Groups_Ocancel__semigroup__add @t1069)))) % 1.13/1.34 (assume @p1214 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__semiring @t1069)))) % 1.13/1.34 (assume @p1215 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__semidom @t1069)))) % 1.13/1.34 (assume @p1216 (forall @t1071 (=> @t1078 (tptp.class_Groups_Oab__semigroup__mult @t1069)))) % 1.13/1.34 (assume @p1217 (forall @t1071 (=> @t1079 (tptp.class_Groups_Ocomm__monoid__mult @t1069)))) % 1.13/1.34 (assume @p1218 (forall @t1071 (=> @t1080 (tptp.class_Groups_Oab__semigroup__add @t1069)))) % 1.13/1.34 (assume @p1219 (forall @t1071 (=> @t1077 (tptp.class_Rings_Oordered__semiring @t1069)))) % 1.13/1.34 (assume @p1220 (forall @t1071 (=> @t1076 (tptp.class_Rings_Ono__zero__divisors @t1069)))) % 1.13/1.34 (assume @p1221 (forall @t1071 (=> @t1080 (tptp.class_Groups_Ocomm__monoid__add @t1069)))) % 1.13/1.34 (assume @p1222 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__ring @t1069)))) % 1.13/1.34 (assume @p1223 (forall @t1071 (=> @t1077 (tptp.class_Rings_Olinordered__idom @t1069)))) % 1.13/1.34 (assume @p1224 (forall @t1071 (=> @t1079 (tptp.class_Rings_Ocomm__semiring__1 @t1069)))) % 1.13/1.34 (assume @p1225 (forall @t1071 (=> @t1078 (tptp.class_Rings_Ocomm__semiring__0 @t1069)))) % 1.13/1.34 (assume @p1226 (forall @t1071 (=> @t1081 (tptp.class_Divides_Osemiring__div @t1069)))) % 1.13/1.34 (assume @p1227 (forall @t1071 (=> @t1078 (tptp.class_Rings_Ocomm__semiring @t1069)))) % 1.13/1.34 (assume @p1228 (forall @t1071 (=> @t1082 (tptp.class_Groups_Oab__group__add @t1069)))) % 1.13/1.34 (assume @p1229 (forall @t1071 (=> @t1079 (tptp.class_Rings_Ozero__neq__one @t1069)))) % 1.13/1.34 (assume @p1230 (forall @t1071 (=> @t1077 (tptp.class_Rings_Oordered__ring @t1069)))) % 1.13/1.34 (assume @p1231 (forall @t1071 (=> @t1077 (tptp.class_Orderings_Opreorder @t1069)))) % 1.13/1.34 (assume @p1232 (forall @t1071 (=> @t1077 (tptp.class_Orderings_Olinorder @t1069)))) % 1.13/1.34 (assume @p1233 (forall @t1071 (=> @t1079 (tptp.class_Groups_Omonoid__mult @t1069)))) % 1.13/1.34 (assume @p1234 (forall @t1071 (=> @t1083 (tptp.class_Rings_Ocomm__ring__1 @t1069)))) % 1.13/1.34 (assume @p1235 (forall @t1071 (=> @t1080 (tptp.class_Groups_Omonoid__add @t1069)))) % 1.13/1.34 (assume @p1236 (forall @t1071 (=> @t1078 (tptp.class_Rings_Osemiring__0 @t1069)))) % 1.13/1.34 (assume @p1237 (forall @t1071 (=> @t1082 (tptp.class_Groups_Ogroup__add @t1069)))) % 1.13/1.34 (assume @p1238 (forall @t1071 (=> @t1081 (tptp.class_Divides_Oring__div @t1069)))) % 1.13/1.34 (assume @p1239 (forall @t1071 (=> @t1078 (tptp.class_Rings_Omult__zero @t1069)))) % 1.13/1.34 (assume @p1240 (forall @t1071 (=> @t1084 (tptp.class_Rings_Ocomm__ring @t1069)))) % 1.13/1.34 (assume @p1241 (forall @t1071 (=> @t1077 (tptp.class_Orderings_Oorder @t1069)))) % 1.13/1.34 (assume @p1242 (forall @t1071 (=> @t1077 (tptp.class_Int_Oring__char__0 @t1069)))) % 1.13/1.34 (assume @p1243 (forall @t1071 (=> @t1078 (tptp.class_Rings_Osemiring @t1069)))) % 1.13/1.34 (assume @p1244 (forall @t1071 (=> @t1077 (tptp.class_Orderings_Oord @t1069)))) % 1.13/1.34 (assume @p1245 (forall @t1071 (=> @t1083 (tptp.class_Rings_Oring__1 @t1069)))) % 1.13/1.34 (assume @p1246 (forall @t1071 (=> @t1079 (tptp.class_Power_Opower @t1069)))) % 1.13/1.34 (assume @p1247 (forall @t1071 (=> (tptp.class_Groups_Ozero @t1068) (tptp.class_Groups_Ozero @t1069)))) % 1.13/1.34 (assume @p1248 (forall @t1071 (=> @t1084 (tptp.class_Rings_Oring @t1069)))) % 1.13/1.34 (assume @p1249 (forall @t1071 (=> @t1076 (tptp.class_Rings_Oidom @t1069)))) % 1.13/1.34 (assume @p1250 (forall @t1071 (=> @t1079 (tptp.class_Groups_Oone @t1069)))) % 1.13/1.34 (assume @p1251 (forall @t1071 (=> @t1079 (tptp.class_Rings_Odvd @t1069)))) % 1.13/1.34 (assume @p1252 (not (= @t1088 @t1086))) % 1.13/1.34 (assume @p1253 true) % 1.13/1.34 (step @p1254 :rule symm :premises (@p564)) % 1.13/1.34 (step @p1255 :rule aci_norm :args ((= (or @t1091 @t1090 false @t1089) (or @t1091 @t1090 @t1089)))) % 1.13/1.34 (step @p1256 :rule refl :args (@t1089)) % 1.13/1.34 (step @p1257 :rule evaluate :args ((not true))) % 1.13/1.34 (step @p1258 :rule eq-refl :args (@t143)) % 1.13/1.34 (step @p1259 :rule cong :premises (@p1258) :args (@t1092)) % 1.13/1.34 (step @p1260 :rule trans :premises (@p1259 @p1257)) % 1.13/1.34 (step @p1261 :rule refl :args (@t1090)) % 1.13/1.34 (step @p1262 :rule refl :args (@t1091)) % 1.13/1.34 (step @p1263 :rule nary_cong :premises (@p1262 @p1261 @p1260 @p1256) :args (@t1093)) % 1.13/1.34 (step @p1264 :rule trans :premises (@p1263 @p1255)) % 1.13/1.34 (step @p1265 :rule cong :premises (@p1264) :args ((forall @t1094 @t1093))) % 1.13/1.34 (step @p1266 :rule quant-var-elim-eq :args ((= (forall @t898 @t1096) @t1093))) % 1.13/1.34 (step @p1267 :rule aci_norm :args ((= @t1097 @t1096))) % 1.13/1.34 (step @p1268 :rule cong :premises (@p1267) :args (@t1098)) % 1.13/1.34 (step @p1269 :rule trans :premises (@p1268 @p1266)) % 1.13/1.34 (step @p1270 :rule cong :premises (@p1269) :args (@t1099)) % 1.13/1.34 (step @p1271 :rule quant-merge-prenex :args ((= @t1099 @t1100))) % 1.13/1.34 (step @p1272 :rule symm :premises (@p1271)) % 1.13/1.34 (step @p1273 :rule quant_var_reordering :args ((= (forall @t182 @t1097) @t1100))) % 1.13/1.34 (step @p1274 :rule trans :premises (@p1273 @p1272 @p1270)) % 1.13/1.34 (step @p1275 :rule trans :premises (@p1274 @p1265)) % 1.13/1.34 (step @p1276 :rule aci_norm :args ((= (or @t1091 @t1101) @t1097))) % 1.13/1.34 (step @p1277 :rule aci_norm :args ((= (or @t1090 (or @t1095 @t176)) @t1101))) % 1.13/1.34 (step @p1278 :rule bool-impl-elim :args (@t184 @t176)) % 1.13/1.34 (step @p1279 :rule refl :args (@t1090)) % 1.13/1.34 (step @p1280 :rule nary_cong :premises (@p1279 @p1278) :args ((or @t1090 @t1102))) % 1.13/1.34 (step @p1281 :rule trans :premises (@p1280 @p1277)) % 1.13/1.34 (step @p1282 :rule refl :args (@t1102)) % 1.13/1.34 (step @p1283 :rule bool-double-not-elim :args (@t1090)) % 1.13/1.34 (step @p1284 :rule nary_cong :premises (@p1283 @p1282) :args ((or (not @t1103) @t1102))) % 1.13/1.34 (step @p1285 :rule bool-impl-elim :args (@t1103 @t1102)) % 1.13/1.34 (step @p1286 :rule trans :premises (@p1285 @p1284)) % 1.13/1.34 (step @p1287 :rule trans :premises (@p1286 @p1281)) % 1.13/1.34 (step @p1288 :rule refl :args (@t1091)) % 1.13/1.34 (step @p1289 :rule nary_cong :premises (@p1288 @p1287) :args ((or @t1091 @t1104))) % 1.13/1.34 (step @p1290 :rule trans :premises (@p1289 @p1276)) % 1.13/1.34 (step @p1291 :rule bool-impl-elim :args (@t35 @t1104)) % 1.13/1.34 (step @p1292 :rule trans :premises (@p1291 @p1290)) % 1.13/1.34 (step @p1293 :rule cong :premises (@p1292) :args ((forall @t182 (=> @t35 @t1104)))) % 1.13/1.34 (step @p1294 :rule trans :premises (@p1293 @p1275)) % 1.13/1.34 (step @p1295 :rule refl :args (@t176)) % 1.13/1.34 (step @p1296 :rule eq-symm :args (@t143 @t65)) % 1.13/1.34 (step @p1297 :rule cong :premises (@p1296 @p1295) :args (@t177)) % 1.13/1.34 (step @p1298 :rule eq-symm :args (@t121 @t32)) % 1.13/1.34 (step @p1299 :rule cong :premises (@p1298) :args (@t179)) % 1.13/1.34 (step @p1300 :rule cong :premises (@p1299 @p1297) :args (@t180)) % 1.13/1.34 (step @p1301 :rule refl :args (@t35)) % 1.13/1.34 (step @p1302 :rule cong :premises (@p1301 @p1300) :args (@t181)) % 1.13/1.34 (step @p1303 :rule cong :premises (@p1302) :args (@t183)) % 1.13/1.34 (step @p1304 :rule trans :premises (@p1303 @p1294)) % 1.13/1.34 (step @p1305 :rule eq_resolve :premises (@p67 @p1304)) % 1.13/1.34 (step @p1306 :rule instantiate :premises (@p1305) :args ((@list @t12 @t9 tptp.tc_Complex_Ocomplex))) % 1.13/1.34 (step @p1307 :rule symm :premises (@p2)) % 1.13/1.34 (step @p1308 :rule cnf_or_pos :args (@t1109)) % 1.13/1.34 (step @p1309 :rule reordering :premises (@p1308) :args ((or @t1107 @t1108 @t1106 (not @t1109)))) % 1.13/1.34 (step @p1310 :rule chain_m_resolution :premises (@p1309 @p1307 @p1175 @p1306) :args (@t1106 (@list true false false) (@list @t1107 @t1075 @t1109))) % 1.13/1.34 (step @p1311 :rule not_equiv_elim2 :premises (@p1252)) % 1.13/1.34 (assume-push @p1401 @t16) % 1.13/1.34 (assume-push @p1402 @t25) % 1.13/1.34 (assume-push @p1403 @t1086) % 1.13/1.34 (assume-push @p1404 @t1110) % 1.13/1.34 (assume-push @p1405 @t1106) % 1.13/1.34 (assume-push @p1406 @t1086) % 1.13/1.34 (assume-push @p1407 @t1110) % 1.13/1.34 (assume-push @p1408 @t16) % 1.13/1.34 (assume-push @p1409 @t25) % 1.13/1.34 (assume-push @p1410 @t1106) % 1.13/1.34 (step @p1322 :rule true_intro :premises (@p1403)) % 1.13/1.34 (step @p1323 :rule refl :args (@t1085)) % 1.13/1.34 (step @p1324 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.13/1.34 (step @p1325 :rule cong :premises (@p1324 @p1323 @p564) :args (@t1111)) % 1.13/1.34 (step @p1326 :rule refl :args (@t717)) % 1.13/1.34 (step @p1327 :rule symm :premises (@p11)) % 1.13/1.34 (step @p1328 :rule symm :premises (@p4)) % 1.13/1.34 (step @p1329 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (step @p1330 :rule cong :premises (@p1329 @p1328 @p1327) :args (@t1112)) % 1.13/1.34 (step @p1331 :rule refl :args (@t14)) % 1.13/1.34 (step @p1332 :rule cong :premises (@p1329 @p1331 @p11) :args (@t1105)) % 1.13/1.34 (step @p1333 :rule trans :premises (@p1310 @p1332 @p1330)) % 1.13/1.34 (step @p1334 :rule cong :premises (@p1329 @p1333) :args (@t1087)) % 1.13/1.34 (step @p1335 :rule cong :premises (@p1324 @p1334 @p1326) :args (@t1113)) % 1.13/1.34 (step @p1336 :rule refl :args (@t1087)) % 1.13/1.34 (step @p1337 :rule cong :premises (@p1324 @p1336 @p1254) :args (@t1088)) % 1.13/1.34 (step @p1338 :rule trans :premises (@p1337 @p1335 @p1325 @p1322)) % 1.13/1.34 (step @p1339 :rule true_elim :premises (@p1338)) % 1.13/1.34 (step-pop @p1411 :rule scope :premises (@p1339)) % 1.13/1.34 (step-pop @p1412 :rule scope :premises (@p1411)) % 1.13/1.34 (step-pop @p1413 :rule scope :premises (@p1412)) % 1.13/1.34 (step-pop @p1414 :rule scope :premises (@p1413)) % 1.13/1.34 (step-pop @p1415 :rule scope :premises (@p1414)) % 1.13/1.34 (step @p1340 :rule process_scope :premises (@p1415) :args (@t1088)) % 1.13/1.34 (step @p1346 :rule and_intro :premises (@p1403 @p1254 @p4 @p11 @p1310)) % 1.13/1.34 (step @p1347 :rule modus_ponens :premises (@p1346 @p1340)) % 1.13/1.34 (step-pop @p1416 :rule scope :premises (@p1347)) % 1.13/1.34 (step-pop @p1417 :rule scope :premises (@p1416)) % 1.13/1.34 (step-pop @p1418 :rule scope :premises (@p1417)) % 1.13/1.34 (step-pop @p1419 :rule scope :premises (@p1418)) % 1.13/1.34 (step-pop @p1420 :rule scope :premises (@p1419)) % 1.13/1.34 (step @p1348 :rule process_scope :premises (@p1420) :args (@t1088)) % 1.13/1.34 (step @p1354 :rule implies_elim :premises (@p1348)) % 1.13/1.34 (step @p1355 :rule cnf_and_neg :args (@t1114)) % 1.13/1.34 (step @p1356 :rule resolution :premises (@p1355 @p1354) :args (true @t1114)) % 1.13/1.34 (step @p1357 :rule reordering :premises (@p1356) :args ((or @t1088 @t1119 @t1118 @t1117 @t1116 @t1115))) % 1.13/1.34 (step @p1358 :rule chain_m_resolution :premises (@p1357 @p1310 @p1254 @p11 @p4 @p1311) :args (@t1116 (@list false false false false true) (@list @t1106 @t1110 @t25 @t16 @t1088))) % 1.13/1.34 (step @p1359 :rule not_equiv_elim1 :premises (@p1252)) % 1.13/1.34 (step @p1360 :rule chain_m_resolution :premises (@p1359 @p1358) :args (@t1088 (@list true) (@list @t1086))) % 1.13/1.34 (step @p1361 :rule refl :args (@t1120)) % 1.13/1.34 (step @p1362 :rule refl :args (@t1115)) % 1.13/1.34 (step @p1363 :rule bool-double-not-elim :args (@t1086)) % 1.13/1.34 (step @p1364 :rule refl :args (@t1117)) % 1.13/1.34 (step @p1365 :rule refl :args (@t1118)) % 1.13/1.34 (step @p1366 :rule refl :args (@t1119)) % 1.13/1.34 (step @p1367 :rule nary_cong :premises (@p1366 @p1365 @p1364 @p1363 @p1362 @p1361) :args ((or @t1119 @t1118 @t1117 (not @t1116) @t1115 @t1120))) % 1.13/1.34 (assume-push @p1421 @t16) % 1.13/1.34 (assume-push @p1422 @t25) % 1.13/1.34 (assume-push @p1423 @t1110) % 1.13/1.34 (assume-push @p1424 @t1116) % 1.13/1.34 (assume-push @p1425 @t1106) % 1.13/1.34 (assume-push @p1426 @t1116) % 1.13/1.34 (assume-push @p1427 @t1110) % 1.13/1.34 (assume-push @p1428 @t16) % 1.13/1.34 (assume-push @p1429 @t25) % 1.13/1.34 (assume-push @p1430 @t1106) % 1.13/1.34 (step @p1378 :rule false_intro :premises (@p1424)) % 1.13/1.34 (step @p1323 :rule refl :args (@t1085)) % 1.13/1.34 (step @p1324 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.13/1.34 (step @p1325 :rule cong :premises (@p1324 @p1323 @p564) :args (@t1111)) % 1.13/1.34 (step @p1326 :rule refl :args (@t717)) % 1.13/1.34 (step @p1327 :rule symm :premises (@p11)) % 1.13/1.34 (step @p1328 :rule symm :premises (@p4)) % 1.13/1.34 (step @p1329 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.13/1.34 (step @p1330 :rule cong :premises (@p1329 @p1328 @p1327) :args (@t1112)) % 1.13/1.34 (step @p1331 :rule refl :args (@t14)) % 1.13/1.34 (step @p1332 :rule cong :premises (@p1329 @p1331 @p11) :args (@t1105)) % 1.13/1.34 (step @p1333 :rule trans :premises (@p1310 @p1332 @p1330)) % 1.13/1.34 (step @p1334 :rule cong :premises (@p1329 @p1333) :args (@t1087)) % 1.13/1.34 (step @p1335 :rule cong :premises (@p1324 @p1334 @p1326) :args (@t1113)) % 1.13/1.34 (step @p1336 :rule refl :args (@t1087)) % 1.13/1.34 (step @p1337 :rule cong :premises (@p1324 @p1336 @p1254) :args (@t1088)) % 1.13/1.34 (step @p1379 :rule trans :premises (@p1337 @p1335 @p1325 @p1378)) % 1.13/1.34 (step @p1380 :rule false_elim :premises (@p1379)) % 1.13/1.34 (step-pop @p1431 :rule scope :premises (@p1380)) % 1.13/1.34 (step-pop @p1432 :rule scope :premises (@p1431)) % 1.13/1.34 (step-pop @p1433 :rule scope :premises (@p1432)) % 1.13/1.34 (step-pop @p1434 :rule scope :premises (@p1433)) % 1.13/1.34 (step-pop @p1435 :rule scope :premises (@p1434)) % 1.13/1.34 (step @p1381 :rule process_scope :premises (@p1435) :args (@t1120)) % 1.13/1.34 (step @p1387 :rule and_intro :premises (@p1424 @p1254 @p4 @p11 @p1310)) % 1.13/1.34 (step @p1388 :rule modus_ponens :premises (@p1387 @p1381)) % 1.13/1.34 (step-pop @p1436 :rule scope :premises (@p1388)) % 1.13/1.34 (step-pop @p1437 :rule scope :premises (@p1436)) % 1.13/1.34 (step-pop @p1438 :rule scope :premises (@p1437)) % 1.13/1.34 (step-pop @p1439 :rule scope :premises (@p1438)) % 1.13/1.34 (step-pop @p1440 :rule scope :premises (@p1439)) % 1.13/1.34 (step @p1389 :rule process_scope :premises (@p1440) :args (@t1120)) % 1.13/1.34 (step @p1395 :rule implies_elim :premises (@p1389)) % 1.13/1.34 (step @p1396 :rule cnf_and_neg :args (@t1121)) % 1.13/1.34 (step @p1397 :rule resolution :premises (@p1396 @p1395) :args (true @t1121)) % 1.13/1.34 (step @p1398 :rule eq_resolve :premises (@p1397 @p1367)) % 1.13/1.34 (step @p1399 :rule reordering :premises (@p1398) :args ((or @t1086 @t1119 @t1118 @t1117 @t1120 @t1115))) % 1.13/1.34 (step @p1400 false :rule chain_m_resolution :premises (@p1399 @p1360 @p1358 @p1310 @p1254 @p11 @p4) :args (false (@list false true false false false false) (@list @t1088 @t1086 @t1106 @t1110 @t25 @t16))) % 1.13/1.34 ) % 1.13/1.34 % SZS output end Proof % 1.13/1.34 % cvc5 exiting %------------------------------------------------------------------------------