%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW240+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:04:35 AM UTC 2026 % Result : Theorem 1.41s 1.62s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW240+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:41:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.41/1.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.41/1.62 % SZS status Theorem % 1.41/1.62 % SZS output start Proof % 1.41/1.62 ( % 1.41/1.62 (declare-sort $$unsorted 0) % 1.41/1.62 (declare-const tptp.v_p $$unsorted) % 1.41/1.62 (declare-const tptp.v_x $$unsorted) % 1.41/1.62 (declare-const tptp.t_a $$unsorted) % 1.41/1.62 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.v_n $$unsorted) % 1.41/1.62 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.41/1.62 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.41/1.62 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.41/1.62 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.41/1.62 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.41/1.62 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.41/1.62 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.41/1.62 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.41/1.62 (define @t3 () (@var "B_x" $$unsorted)) % 1.41/1.62 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.41/1.62 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.41/1.62 (define @t6 () (@list @t3)) % 1.41/1.62 (define @t7 () (@var "V_n" $$unsorted)) % 1.41/1.62 (define @t8 () (@var "V_x" $$unsorted)) % 1.41/1.62 (define @t9 () (@var "T_a" $$unsorted)) % 1.41/1.62 (define @t10 () (tptp.c_Power_Opower__class_Opower @t9)) % 1.41/1.62 (define @t11 () (tptp.hAPP @t10 @t8)) % 1.41/1.62 (define @t12 () (tptp.hAPP @t11 @t7)) % 1.41/1.62 (define @t13 () (@var "V_a" $$unsorted)) % 1.41/1.62 (define @t14 () (tptp.c_Groups_Otimes__class_Otimes @t9)) % 1.41/1.62 (define @t15 () (tptp.hAPP @t14 @t13)) % 1.41/1.62 (define @t16 () (tptp.c_Polynomial_Omonom @t9 @t13 @t7)) % 1.41/1.62 (define @t17 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t16) @t8) (tptp.hAPP @t15 @t12))) % 1.41/1.62 (define @t18 () (tptp.class_Rings_Ocomm__semiring__1 @t9)) % 1.41/1.62 (define @t19 () (forall (@list @t8 @t7 @t13 @t9) (=> @t18 @t17))) % 1.41/1.62 (define @t20 () (@var "V_q" $$unsorted)) % 1.41/1.62 (define @t21 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t20) @t8)) % 1.41/1.62 (define @t22 () (@var "V_p" $$unsorted)) % 1.41/1.62 (define @t23 () (tptp.c_Polynomial_Opoly @t9 @t22)) % 1.41/1.62 (define @t24 () (tptp.hAPP @t23 @t8)) % 1.41/1.62 (define @t25 () (tptp.tc_Polynomial_Opoly @t9)) % 1.41/1.62 (define @t26 () (tptp.c_Groups_Otimes__class_Otimes @t25)) % 1.41/1.62 (define @t27 () (tptp.hAPP @t26 @t22)) % 1.41/1.62 (define @t28 () (tptp.hAPP @t27 @t20)) % 1.41/1.62 (define @t29 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t28) @t8) (tptp.hAPP (tptp.hAPP @t14 @t24) @t21))) % 1.41/1.62 (define @t30 () (tptp.class_Rings_Ocomm__semiring__0 @t9)) % 1.41/1.62 (define @t31 () (@list @t8 @t20 @t22 @t9)) % 1.41/1.62 (define @t32 () (forall @t31 (=> @t30 @t29))) % 1.41/1.62 (define @t33 () (tptp.c_Power_Opower__class_Opower @t25)) % 1.41/1.62 (define @t34 () (tptp.c_Groups_Oone__class_Oone @t9)) % 1.41/1.62 (define @t35 () (tptp.c_Groups_Oone__class_Oone @t25)) % 1.41/1.62 (define @t36 () (@list @t8 @t9)) % 1.41/1.62 (define @t37 () (tptp.class_Groups_Omonoid__mult @t9)) % 1.41/1.62 (define @t38 () (@list @t7 @t9)) % 1.41/1.62 (define @t39 () (tptp.hAPP @t10 @t13)) % 1.41/1.62 (define @t40 () (tptp.hAPP @t39 @t7)) % 1.41/1.62 (define @t41 () (tptp.hAPP @t15 @t40)) % 1.41/1.62 (define @t42 () (tptp.hAPP @t14 @t40)) % 1.41/1.62 (define @t43 () (tptp.hAPP @t42 @t13)) % 1.41/1.62 (define @t44 () (@list @t7 @t13 @t9)) % 1.41/1.62 (define @t45 () (@var "V_b" $$unsorted)) % 1.41/1.62 (define @t46 () (tptp.hAPP @t10 @t45)) % 1.41/1.62 (define @t47 () (tptp.hAPP @t46 @t7)) % 1.41/1.62 (define @t48 () (tptp.hAPP @t15 @t45)) % 1.41/1.62 (define @t49 () (tptp.class_Groups_Ocomm__monoid__mult @t9)) % 1.41/1.62 (define @t50 () (@list @t7 @t45 @t13 @t9)) % 1.41/1.62 (define @t51 () (@var "V_y" $$unsorted)) % 1.41/1.62 (define @t52 () (tptp.hAPP @t10 @t51)) % 1.41/1.62 (define @t53 () (tptp.hAPP @t11 @t20)) % 1.41/1.62 (define @t54 () (tptp.hAPP @t14 @t53)) % 1.41/1.62 (define @t55 () (tptp.hAPP @t14 @t8)) % 1.41/1.62 (define @t56 () (tptp.hAPP @t55 @t51)) % 1.41/1.62 (define @t57 () (= (tptp.hAPP (tptp.hAPP @t14 @t34) @t13) @t13)) % 1.41/1.62 (define @t58 () (@list @t13 @t9)) % 1.41/1.62 (define @t59 () (tptp.hAPP @t15 @t34)) % 1.41/1.62 (define @t60 () (= @t59 @t13)) % 1.41/1.62 (define @t61 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.41/1.62 (define @t62 () (tptp.hAPP @t61 @t22)) % 1.41/1.62 (define @t63 () (tptp.hAPP @t11 @t22)) % 1.41/1.62 (define @t64 () (@list @t20 @t22 @t8 @t9)) % 1.41/1.62 (define @t65 () (@var "V_m" $$unsorted)) % 1.41/1.62 (define @t66 () (tptp.hAPP @t39 @t65)) % 1.41/1.62 (define @t67 () (tptp.hAPP @t61 @t65)) % 1.41/1.62 (define @t68 () (tptp.hAPP @t67 @t7)) % 1.41/1.62 (define @t69 () (@list @t7 @t65 @t13 @t9)) % 1.41/1.62 (define @t70 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.41/1.62 (define @t71 () (@var "V_ry" $$unsorted)) % 1.41/1.62 (define @t72 () (@var "V_ly" $$unsorted)) % 1.41/1.62 (define @t73 () (tptp.hAPP @t14 @t72)) % 1.41/1.62 (define @t74 () (@var "V_rx" $$unsorted)) % 1.41/1.62 (define @t75 () (@var "V_lx" $$unsorted)) % 1.41/1.62 (define @t76 () (tptp.hAPP @t14 @t75)) % 1.41/1.62 (define @t77 () (tptp.hAPP @t14 (tptp.hAPP @t76 @t74))) % 1.41/1.62 (define @t78 () (tptp.hAPP @t14 @t74)) % 1.41/1.62 (define @t79 () (tptp.hAPP @t78 @t71)) % 1.41/1.62 (define @t80 () (tptp.hAPP @t14 (tptp.hAPP @t76 @t72))) % 1.41/1.62 (define @t81 () (tptp.hAPP @t80 @t79)) % 1.41/1.62 (define @t82 () (@list @t71 @t74 @t72 @t75 @t9)) % 1.41/1.62 (define @t83 () (tptp.hAPP @t80 @t74)) % 1.41/1.62 (define @t84 () (@list @t74 @t72 @t75 @t9)) % 1.41/1.62 (define @t85 () (@var "V_c" $$unsorted)) % 1.41/1.62 (define @t86 () (tptp.hAPP @t14 @t45)) % 1.41/1.62 (define @t87 () (tptp.hAPP @t86 @t85)) % 1.41/1.62 (define @t88 () (@list @t85 @t45 @t13 @t9)) % 1.41/1.62 (define @t89 () (tptp.hAPP @t76 @t79)) % 1.41/1.62 (define @t90 () (@list @t71 @t74 @t75 @t9)) % 1.41/1.62 (define @t91 () (tptp.hAPP @t86 @t13)) % 1.41/1.62 (define @t92 () (= @t48 @t91)) % 1.41/1.62 (define @t93 () (@list @t45 @t13 @t9)) % 1.41/1.62 (define @t94 () (forall @t93 (=> @t18 @t92))) % 1.41/1.62 (define @t95 () (@var "T_b" $$unsorted)) % 1.41/1.62 (define @t96 () (tptp.c_Groups_Oone__class_Oone @t95)) % 1.41/1.62 (define @t97 () (@var "V_xa_2" $$unsorted)) % 1.41/1.62 (define @t98 () (= @t97 @t96)) % 1.41/1.62 (define @t99 () (@list @t97 @t95)) % 1.41/1.62 (define @t100 () (@var "V_q_2" $$unsorted)) % 1.41/1.62 (define @t101 () (@var "V_pa_2" $$unsorted)) % 1.41/1.62 (define @t102 () (= @t101 @t100)) % 1.41/1.62 (define @t103 () (tptp.c_Polynomial_Opoly @t95 @t101)) % 1.41/1.62 (define @t104 () (tptp.class_Rings_Oidom @t95)) % 1.41/1.62 (define @t105 () (and (tptp.class_Int_Oring__char__0 @t95) @t104)) % 1.41/1.62 (define @t106 () (@var "V_b_2" $$unsorted)) % 1.41/1.62 (define @t107 () (@var "V_a_2" $$unsorted)) % 1.41/1.62 (define @t108 () (= @t107 @t106)) % 1.41/1.62 (define @t109 () (@var "V_na_2" $$unsorted)) % 1.41/1.62 (define @t110 () (tptp.c_Polynomial_Omonom @t95 @t107 @t109)) % 1.41/1.62 (define @t111 () (tptp.class_Groups_Ozero @t95)) % 1.41/1.62 (define @t112 () (=> @t49 @t60)) % 1.41/1.62 (define @t113 () (forall @t58 @t112)) % 1.41/1.62 (define @t114 () (tptp.c_Groups_Otimes__class_Otimes @t95)) % 1.41/1.62 (define @t115 () (tptp.c_Power_Opower__class_Opower @t95)) % 1.41/1.62 (define @t116 () (tptp.class_Power_Opower @t95)) % 1.41/1.62 (define @t117 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t118 () (tptp.c_Polynomial_Omonom @t9 @t45 @t7)) % 1.41/1.62 (define @t119 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t9)) % 1.41/1.62 (define @t120 () (tptp.hAPP @t55 @t8)) % 1.41/1.62 (define @t121 () (tptp.hAPP @t15 @t13)) % 1.41/1.62 (define @t122 () (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t13)) % 1.41/1.62 (define @t123 () (tptp.class_Rings_Olinordered__semidom @t9)) % 1.41/1.62 (define @t124 () (tptp.c_Polynomial_Opcompose @t9 @t22 @t20)) % 1.41/1.62 (define @t125 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t34)) % 1.41/1.62 (define @t126 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t13)) % 1.41/1.62 (define @t127 () (tptp.class_Rings_Oring__1 @t9)) % 1.41/1.62 (define @t128 () (tptp.c_Polynomial_Opos__poly @t9 @t20)) % 1.41/1.62 (define @t129 () (tptp.c_Polynomial_Opos__poly @t9 @t22)) % 1.41/1.62 (define @t130 () (tptp.class_Rings_Olinordered__idom @t9)) % 1.41/1.62 (define @t131 () (@list @t20 @t22 @t9)) % 1.41/1.62 (define @t132 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.41/1.62 (define @t133 () (tptp.class_Power_Opower @t9)) % 1.41/1.62 (define @t134 () (tptp.c_Groups_Ozero__class_Ozero @t9)) % 1.41/1.62 (define @t135 () (tptp.class_Groups_Ogroup__add @t9)) % 1.41/1.62 (define @t136 () (@list @t9)) % 1.41/1.62 (define @t137 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t45)) % 1.41/1.62 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t45)) % 1.41/1.62 (define @t139 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t138)) % 1.41/1.62 (define @t140 () (tptp.class_Groups_Oab__group__add @t9)) % 1.41/1.62 (define @t141 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t134 @t13) @t13)) % 1.41/1.62 (define @t142 () (tptp.class_Groups_Omonoid__add @t9)) % 1.41/1.62 (define @t143 () (tptp.class_Groups_Ocomm__monoid__add @t9)) % 1.41/1.62 (define @t144 () (tptp.c_Groups_Ozero__class_Ozero @t95)) % 1.41/1.62 (define @t145 () (= @t97 @t144)) % 1.41/1.62 (define @t146 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t107)) % 1.41/1.62 (define @t147 () (tptp.class_Groups_Ogroup__add @t95)) % 1.41/1.62 (define @t148 () (@list @t107 @t95)) % 1.41/1.62 (define @t149 () (tptp.c_Orderings_Oord__class_Oless @t95 @t107 @t144)) % 1.41/1.62 (define @t150 () (tptp.class_Groups_Oordered__ab__group__add @t95)) % 1.41/1.62 (define @t151 () (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t107)) % 1.41/1.62 (define @t152 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t107 @t107)) % 1.41/1.62 (define @t153 () (tptp.class_Groups_Olinordered__ab__group__add @t95)) % 1.41/1.62 (define @t154 () (= @t107 @t144)) % 1.41/1.62 (define @t155 () (= @t109 @t132)) % 1.41/1.62 (define @t156 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t97)) % 1.41/1.62 (define @t157 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.41/1.62 (define @t158 () (tptp.hAPP @t157 @t97)) % 1.41/1.62 (define @t159 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 (tptp.hAPP @t158 @t109))) % 1.41/1.62 (define @t160 () (@list @t109 @t97)) % 1.41/1.62 (define @t161 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t134) @t13)) % 1.41/1.62 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t85 @t13)) % 1.41/1.62 (define @t163 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t85)) % 1.41/1.62 (define @t164 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t106)) % 1.41/1.62 (define @t165 () (= @t107 @t164)) % 1.41/1.62 (define @t166 () (@list @t106 @t107 @t95)) % 1.41/1.62 (define @t167 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t107 @t106)) % 1.41/1.62 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t106 @t107)) % 1.41/1.62 (define @t169 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t95)) % 1.41/1.62 (define @t170 () (@list @t107 @t106 @t95)) % 1.41/1.62 (define @t171 () (@var "V_d" $$unsorted)) % 1.41/1.62 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t85 @t171)) % 1.41/1.62 (define @t173 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t172)) % 1.41/1.62 (define @t174 () (@list @t171 @t85 @t13 @t9)) % 1.41/1.62 (define @t175 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t126 @t13) @t134)) % 1.41/1.62 (define @t176 () (tptp.c_Orderings_Oord__class_Oless @t95 @t107 @t106)) % 1.41/1.62 (define @t177 () (= (tptp.c_Orderings_Oord__class_Oless @t95 @t152 @t144) @t149)) % 1.41/1.62 (define @t178 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 @t85)) % 1.41/1.62 (define @t179 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t85)) % 1.41/1.62 (define @t180 () (= @t179 (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t178))) % 1.41/1.62 (define @t181 () (@var "V_c_2" $$unsorted)) % 1.41/1.62 (define @t182 () (= @t106 @t181)) % 1.41/1.62 (define @t183 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t107 @t181)) % 1.41/1.62 (define @t184 () (tptp.class_Groups_Ocancel__semigroup__add @t95)) % 1.41/1.62 (define @t185 () (@list @t181 @t106 @t107 @t95)) % 1.41/1.62 (define @t186 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t181 @t107)) % 1.41/1.62 (define @t187 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t106 @t181)) % 1.41/1.62 (define @t188 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t95)) % 1.41/1.62 (define @t189 () (@list @t106 @t181 @t107 @t95)) % 1.41/1.62 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t181 @t106)) % 1.41/1.62 (define @t191 () (@list @t106 @t107 @t181 @t95)) % 1.41/1.62 (define @t192 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 @t171)) % 1.41/1.62 (define @t193 () (@list @t171 @t85 @t45 @t13 @t9)) % 1.41/1.62 (define @t194 () (@var "V_one_2" $$unsorted)) % 1.41/1.62 (define @t195 () (@var "V_times_2" $$unsorted)) % 1.41/1.62 (define @t196 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t95 @t194 @t195) @t107)) % 1.41/1.62 (define @t197 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t138)) % 1.41/1.62 (define @t198 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t45)) % 1.41/1.62 (define @t199 () (=> @t198 @t197)) % 1.41/1.62 (define @t200 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t13)) % 1.41/1.62 (define @t201 () (tptp.class_Groups_Oordered__comm__monoid__add @t9)) % 1.41/1.62 (define @t202 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t203 () (@var "V_i" $$unsorted)) % 1.41/1.62 (define @t204 () (tptp.hAPP @t157 @t203)) % 1.41/1.62 (define @t205 () (tptp.hAPP @t204 @t7)) % 1.41/1.62 (define @t206 () (tptp.hAPP @t204 @t65)) % 1.41/1.62 (define @t207 () (@list @t7 @t65 @t203)) % 1.41/1.62 (define @t208 () (tptp.c_Orderings_Oord__class_Oless @t9 @t138 @t134)) % 1.41/1.62 (define @t209 () (tptp.c_Orderings_Oord__class_Oless @t9 @t45 @t134)) % 1.41/1.62 (define @t210 () (=> @t209 @t208)) % 1.41/1.62 (define @t211 () (tptp.c_Orderings_Oord__class_Oless @t9 @t13 @t134)) % 1.41/1.62 (define @t212 () (tptp.c_Orderings_Oord__class_Oless @t9 @t163 @t178)) % 1.41/1.62 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t9 @t13 @t45)) % 1.41/1.62 (define @t214 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t9)) % 1.41/1.62 (define @t215 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t85 @t45)) % 1.41/1.62 (define @t216 () (tptp.c_Orderings_Oord__class_Oless @t9 @t162 @t215)) % 1.41/1.62 (define @t217 () (tptp.c_Orderings_Oord__class_Oless @t9 @t163 @t192)) % 1.41/1.62 (define @t218 () (tptp.c_Orderings_Oord__class_Oless @t9 @t85 @t171)) % 1.41/1.62 (define @t219 () (=> @t218 @t217)) % 1.41/1.62 (define @t220 () (= @t45 @t85)) % 1.41/1.62 (define @t221 () (=> (= @t138 @t163) @t220)) % 1.41/1.62 (define @t222 () (tptp.class_Groups_Ocancel__semigroup__add @t9)) % 1.41/1.62 (define @t223 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 @t13)) % 1.41/1.62 (define @t224 () (@list @t85 @t13 @t45 @t9)) % 1.41/1.62 (define @t225 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t9)) % 1.41/1.62 (define @t226 () (@list @t45 @t85 @t13 @t9)) % 1.41/1.62 (define @t227 () (@list @t45 @t13 @t85 @t9)) % 1.41/1.62 (define @t228 () (@var "V_y_2" $$unsorted)) % 1.41/1.62 (define @t229 () (= @t97 @t228)) % 1.41/1.62 (define @t230 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t228)) % 1.41/1.62 (define @t231 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t97)) % 1.41/1.62 (define @t232 () (tptp.class_Lattices_Oboolean__algebra @t95)) % 1.41/1.62 (define @t233 () (@list @t228 @t97 @t95)) % 1.41/1.62 (define @t234 () (@var "V_A_2" $$unsorted)) % 1.41/1.62 (define @t235 () (tptp.hAPP @t234 @t97)) % 1.41/1.62 (define @t236 () (@var "T_c" $$unsorted)) % 1.41/1.62 (define @t237 () (tptp.tc_fun @t236 @t95)) % 1.41/1.62 (define @t238 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t8)) % 1.41/1.62 (define @t239 () (tptp.class_Lattices_Oboolean__algebra @t9)) % 1.41/1.62 (define @t240 () (@var "V_r" $$unsorted)) % 1.41/1.62 (define @t241 () (tptp.hAPP @t14 @t240)) % 1.41/1.62 (define @t242 () (= @t13 @t45)) % 1.41/1.62 (define @t243 () (not @t155)) % 1.41/1.62 (define @t244 () (tptp.hAPP @t115 @t107)) % 1.41/1.62 (define @t245 () (tptp.hAPP @t244 @t109)) % 1.41/1.62 (define @t246 () (@list @t109 @t107 @t95)) % 1.41/1.62 (define @t247 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t22)) % 1.41/1.62 (define @t248 () (tptp.class_Rings_Ocomm__ring @t9)) % 1.41/1.62 (define @t249 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t22 @t20)) % 1.41/1.62 (define @t250 () (@list @t45 @t7 @t13 @t9)) % 1.41/1.62 (define @t251 () (@var "V_N" $$unsorted)) % 1.41/1.62 (define @t252 () (tptp.hAPP @t39 @t251)) % 1.41/1.62 (define @t253 () (tptp.c_Orderings_Oord__class_Oless @t9 @t13 @t34)) % 1.41/1.62 (define @t254 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t251)) % 1.41/1.62 (define @t255 () (@list @t13 @t251 @t7 @t9)) % 1.41/1.62 (define @t256 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t7)) % 1.41/1.62 (define @t257 () (tptp.c_Groups_Ozero__class_Ozero @t25)) % 1.41/1.62 (define @t258 () (tptp.tc_Polynomial_Opoly @t95)) % 1.41/1.62 (define @t259 () (tptp.c_Groups_Ozero__class_Ozero @t258)) % 1.41/1.62 (define @t260 () (tptp.class_Groups_Ozero @t9)) % 1.41/1.62 (define @t261 () (tptp.hAPP @t115 @t106)) % 1.41/1.62 (define @t262 () (tptp.hAPP @t261 @t228)) % 1.41/1.62 (define @t263 () (tptp.hAPP @t261 @t97)) % 1.41/1.62 (define @t264 () (tptp.c_Orderings_Oord__class_Oless @t95 @t96 @t106)) % 1.41/1.62 (define @t265 () (tptp.class_Rings_Olinordered__semidom @t95)) % 1.41/1.62 (define @t266 () (@list @t228 @t97 @t106 @t95)) % 1.41/1.62 (define @t267 () (tptp.hAPP @t10 @t134)) % 1.41/1.62 (define @t268 () (tptp.hAPP @t267 @t7)) % 1.41/1.62 (define @t269 () (= @t7 @t132)) % 1.41/1.62 (define @t270 () (not @t269)) % 1.41/1.62 (define @t271 () (and @t133 (tptp.class_Rings_Osemiring__0 @t9))) % 1.41/1.62 (define @t272 () (@var "V_z" $$unsorted)) % 1.41/1.62 (define @t273 () (@list @t272 @t51 @t8 @t9)) % 1.41/1.62 (define @t274 () (tptp.hAPP @t114 @t106)) % 1.41/1.62 (define @t275 () (tptp.hAPP @t274 @t181)) % 1.41/1.62 (define @t276 () (@var "V_d_2" $$unsorted)) % 1.41/1.62 (define @t277 () (tptp.hAPP @t114 @t107)) % 1.41/1.62 (define @t278 () (tptp.hAPP @t277 @t276)) % 1.41/1.62 (define @t279 () (tptp.hAPP @t277 @t181)) % 1.41/1.62 (define @t280 () (= @t181 @t276)) % 1.41/1.62 (define @t281 () (@list @t276 @t181 @t106 @t107 @t95)) % 1.41/1.62 (define @t282 () (tptp.hAPP @t15 @t85)) % 1.41/1.62 (define @t283 () (tptp.hAPP @t14 @t138)) % 1.41/1.62 (define @t284 () (= (tptp.hAPP @t283 @t85) (tptp.c_Groups_Oplus__class_Oplus @t9 @t282 @t87))) % 1.41/1.62 (define @t285 () (tptp.hAPP @t15 @t65)) % 1.41/1.62 (define @t286 () (@var "V_z_2" $$unsorted)) % 1.41/1.62 (define @t287 () (@var "V_w_2" $$unsorted)) % 1.41/1.62 (define @t288 () (tptp.hAPP @t114 @t97)) % 1.41/1.62 (define @t289 () (tptp.hAPP @t114 @t287)) % 1.41/1.62 (define @t290 () (tptp.hAPP @t14 @t134)) % 1.41/1.62 (define @t291 () (= (tptp.hAPP @t290 @t13) @t134)) % 1.41/1.62 (define @t292 () (= (tptp.hAPP @t15 @t134) @t134)) % 1.41/1.62 (define @t293 () (= @t13 @t134)) % 1.41/1.62 (define @t294 () (not @t293)) % 1.41/1.62 (define @t295 () (tptp.class_Rings_Ocomm__ring__1 @t9)) % 1.41/1.62 (define @t296 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t34 @t34)) % 1.41/1.62 (define @t297 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t34)) % 1.41/1.62 (define @t298 () (tptp.hAPP (tptp.hAPP @t14 @t297) @t65)) % 1.41/1.62 (define @t299 () (@var "V_m_2" $$unsorted)) % 1.41/1.62 (define @t300 () (= @t299 @t109)) % 1.41/1.62 (define @t301 () (tptp.hAPP @t14 @t51)) % 1.41/1.62 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t120 (tptp.hAPP @t301 @t51))) % 1.41/1.62 (define @t303 () (tptp.class_Rings_Olinordered__ring @t9)) % 1.41/1.62 (define @t304 () (@list @t51 @t8 @t9)) % 1.41/1.62 (define @t305 () (= @t228 @t144)) % 1.41/1.62 (define @t306 () (tptp.hAPP @t288 @t97)) % 1.41/1.62 (define @t307 () (tptp.c_Groups_Oplus__class_Oplus @t95 @t306 (tptp.hAPP (tptp.hAPP @t114 @t228) @t228))) % 1.41/1.62 (define @t308 () (tptp.class_Rings_Olinordered__ring__strict @t95)) % 1.41/1.62 (define @t309 () (= @t65 @t132)) % 1.41/1.62 (define @t310 () (@list @t7 @t65)) % 1.41/1.62 (define @t311 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t96)) % 1.41/1.62 (define @t312 () (= (tptp.c_Groups_Oplus__class_Oplus @t95 @t97 @t228) @t144)) % 1.41/1.62 (define @t313 () (tptp.hAPP @t14 @t65)) % 1.41/1.62 (define @t314 () (tptp.class_Rings_Olinordered__idom @t95)) % 1.41/1.62 (define @t315 () (@list @t7)) % 1.41/1.62 (define @t316 () (@list @t20 @t9)) % 1.41/1.62 (define @t317 () (@list @t22 @t9)) % 1.41/1.62 (define @t318 () (@var "V_P_2" $$unsorted)) % 1.41/1.62 (define @t319 () (tptp.hAPP @t318 @t109)) % 1.41/1.62 (define @t320 () (tptp.hBOOL (tptp.hAPP @t319 @t299))) % 1.41/1.62 (define @t321 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t109 @t299)) % 1.41/1.62 (define @t322 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 @t109)) % 1.41/1.62 (define @t323 () (@var "V_t" $$unsorted)) % 1.41/1.62 (define @t324 () (@var "V_s" $$unsorted)) % 1.41/1.62 (define @t325 () (= @t65 @t7)) % 1.41/1.62 (define @t326 () (not @t325)) % 1.41/1.62 (define @t327 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t65)) % 1.41/1.62 (define @t328 () (@list @t65 @t7)) % 1.41/1.62 (define @t329 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t51)) % 1.41/1.62 (define @t330 () (= @t8 @t51)) % 1.41/1.62 (define @t331 () (not @t330)) % 1.41/1.62 (define @t332 () (@list @t51 @t8)) % 1.41/1.62 (define @t333 () (not @t300)) % 1.41/1.62 (define @t334 () (@list @t109 @t299)) % 1.41/1.62 (define @t335 () (tptp.hAPP @t26 @t20)) % 1.41/1.62 (define @t336 () (= @t101 @t259)) % 1.41/1.62 (define @t337 () (@list @t101 @t95)) % 1.41/1.62 (define @t338 () (= @t22 @t257)) % 1.41/1.62 (define @t339 () (tptp.c_Orderings_Oord__class_Oless @t9 @t51 @t8)) % 1.41/1.62 (define @t340 () (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t51)) % 1.41/1.62 (define @t341 () (not @t340)) % 1.41/1.62 (define @t342 () (=> @t331 (=> @t341 @t339))) % 1.41/1.62 (define @t343 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t109)) % 1.41/1.62 (define @t344 () (@list @t109)) % 1.41/1.62 (define @t345 () (@var "V_j" $$unsorted)) % 1.41/1.62 (define @t346 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t203 @t345)) % 1.41/1.62 (define @t347 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t345 @t203)) % 1.41/1.62 (define @t348 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t65)) % 1.41/1.62 (define @t349 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t272)) % 1.41/1.62 (define @t350 () (@list @t272 @t51 @t8)) % 1.41/1.62 (define @t351 () (@var "V_k" $$unsorted)) % 1.41/1.62 (define @t352 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t351)) % 1.41/1.62 (define @t353 () (@list @t351 @t7 @t65)) % 1.41/1.62 (define @t354 () (@var "V_k_2" $$unsorted)) % 1.41/1.62 (define @t355 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t354 @t109)) % 1.41/1.62 (define @t356 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t354 @t299)) % 1.41/1.62 (define @t357 () (@list @t109 @t299 @t354)) % 1.41/1.62 (define @t358 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t109 @t354)) % 1.41/1.62 (define @t359 () (@list @t109 @t354 @t299)) % 1.41/1.62 (define @t360 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t345 @t65)) % 1.41/1.62 (define @t361 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 @t345)) % 1.41/1.62 (define @t362 () (@list @t65 @t345 @t203)) % 1.41/1.62 (define @t363 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t345)) % 1.41/1.62 (define @t364 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t345 @t351)) % 1.41/1.62 (define @t365 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t203 @t351)) % 1.41/1.62 (define @t366 () (@list @t351 @t345 @t203)) % 1.41/1.62 (define @t367 () (@var "V_l" $$unsorted)) % 1.41/1.62 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t345 @t367)) % 1.41/1.62 (define @t369 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t367)) % 1.41/1.62 (define @t370 () (@list @t367 @t351 @t345 @t203)) % 1.41/1.62 (define @t371 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t351 @t7)) % 1.41/1.62 (define @t372 () (tptp.hAPP @t61 @t7)) % 1.41/1.62 (define @t373 () (tptp.hAPP @t372 @t351)) % 1.41/1.62 (define @t374 () (tptp.hAPP @t372 @t65)) % 1.41/1.62 (define @t375 () (= @t45 @t134)) % 1.41/1.62 (define @t376 () (= @t48 @t134)) % 1.41/1.62 (define @t377 () (tptp.class_Rings_Ono__zero__divisors @t9)) % 1.41/1.62 (define @t378 () (not @t375)) % 1.41/1.62 (define @t379 () (tptp.hAPP @t277 @t106)) % 1.41/1.62 (define @t380 () (tptp.class_Rings_Omult__zero @t9)) % 1.41/1.62 (define @t381 () (tptp.class_Rings_Ozero__neq__one @t9)) % 1.41/1.62 (define @t382 () (@var "V_e" $$unsorted)) % 1.41/1.62 (define @t383 () (tptp.hAPP @t14 @t126)) % 1.41/1.62 (define @t384 () (tptp.class_Rings_Oring @t9)) % 1.41/1.62 (define @t385 () (tptp.hAPP @t15 @t137)) % 1.41/1.62 (define @t386 () (tptp.hAPP @t383 @t45)) % 1.41/1.62 (define @t387 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t48)) % 1.41/1.62 (define @t388 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t299)) % 1.41/1.62 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t299 @t109)) % 1.41/1.62 (define @t390 () (@list @t65)) % 1.41/1.62 (define @t391 () (= @t299 @t132)) % 1.41/1.62 (define @t392 () (tptp.hAPP @t61 @t351)) % 1.41/1.62 (define @t393 () (tptp.hAPP @t392 @t345)) % 1.41/1.62 (define @t394 () (tptp.hAPP @t392 @t203)) % 1.41/1.62 (define @t395 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t351)) % 1.41/1.62 (define @t396 () (tptp.hAPP @t61 @t345)) % 1.41/1.62 (define @t397 () (tptp.hAPP @t396 @t351)) % 1.41/1.62 (define @t398 () (tptp.hAPP @t61 @t203)) % 1.41/1.62 (define @t399 () (tptp.hAPP @t398 @t351)) % 1.41/1.62 (define @t400 () (= @t354 @t132)) % 1.41/1.62 (define @t401 () (or @t300 @t400)) % 1.41/1.62 (define @t402 () (tptp.hAPP @t61 @t109)) % 1.41/1.62 (define @t403 () (tptp.hAPP @t402 @t354)) % 1.41/1.62 (define @t404 () (tptp.hAPP @t61 @t299)) % 1.41/1.62 (define @t405 () (tptp.hAPP @t404 @t354)) % 1.41/1.62 (define @t406 () (tptp.hAPP @t61 @t354)) % 1.41/1.62 (define @t407 () (tptp.hAPP @t406 @t109)) % 1.41/1.62 (define @t408 () (tptp.hAPP @t406 @t299)) % 1.41/1.62 (define @t409 () (= @t408 @t407)) % 1.41/1.62 (define @t410 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t354)) % 1.41/1.62 (define @t411 () (and @t410 @t322)) % 1.41/1.62 (define @t412 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t408 @t407)) % 1.41/1.62 (define @t413 () (tptp.hAPP @t404 @t109)) % 1.41/1.62 (define @t414 () (tptp.hAPP @t67 @t351)) % 1.41/1.62 (define @t415 () (tptp.hAPP @t392 @t7)) % 1.41/1.62 (define @t416 () (tptp.hAPP @t392 @t65)) % 1.41/1.62 (define @t417 () (@list @t7 @t65 @t351)) % 1.41/1.62 (define @t418 () (= @t109 @t70)) % 1.41/1.62 (define @t419 () (= @t299 @t70)) % 1.41/1.62 (define @t420 () (and @t419 @t418)) % 1.41/1.62 (define @t421 () (tptp.hAPP @t14 @t85)) % 1.41/1.62 (define @t422 () (tptp.hAPP @t421 @t45)) % 1.41/1.62 (define @t423 () (tptp.hAPP @t421 @t13)) % 1.41/1.62 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t9 @t423 @t422)) % 1.41/1.62 (define @t425 () (tptp.c_Orderings_Oord__class_Oless @t9 @t85 @t134)) % 1.41/1.62 (define @t426 () (tptp.c_Orderings_Oord__class_Oless @t9 @t45 @t13)) % 1.41/1.62 (define @t427 () (tptp.class_Rings_Olinordered__ring__strict @t9)) % 1.41/1.62 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t9 @t282 @t87)) % 1.41/1.62 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t85)) % 1.41/1.62 (define @t430 () (=> @t213 (=> @t429 @t424))) % 1.41/1.62 (define @t431 () (tptp.class_Rings_Olinordered__semiring__strict @t9)) % 1.41/1.62 (define @t432 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t48)) % 1.41/1.62 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t9 @t48 @t134)) % 1.41/1.62 (define @t434 () (tptp.c_Orderings_Oord__class_Oless @t95 @t106 @t107)) % 1.41/1.62 (define @t435 () (tptp.hAPP @t114 @t181)) % 1.41/1.62 (define @t436 () (tptp.hAPP @t435 @t106)) % 1.41/1.62 (define @t437 () (tptp.hAPP @t435 @t107)) % 1.41/1.62 (define @t438 () (tptp.c_Orderings_Oord__class_Oless @t95 @t437 @t436)) % 1.41/1.62 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t95 @t181 @t144)) % 1.41/1.62 (define @t440 () (=> @t200 @t198)) % 1.41/1.62 (define @t441 () (@list @t13 @t45 @t9)) % 1.41/1.62 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t181)) % 1.41/1.62 (define @t443 () (or (and @t442 @t176) (and @t439 @t434))) % 1.41/1.62 (define @t444 () (tptp.c_Orderings_Oord__class_Oless @t9 @t45 @t163)) % 1.41/1.62 (define @t445 () (tptp.c_Orderings_Oord__class_Oless @t9 @t45 @t85)) % 1.41/1.62 (define @t446 () (=> @t445 @t444)) % 1.41/1.62 (define @t447 () (and @t145 @t305)) % 1.41/1.62 (define @t448 () (@var "V_u" $$unsorted)) % 1.41/1.62 (define @t449 () (tptp.hAPP @t396 @t448)) % 1.41/1.62 (define @t450 () (tptp.hAPP @t398 @t448)) % 1.41/1.62 (define @t451 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t349)) % 1.41/1.62 (define @t452 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.41/1.62 (define @t453 () (tptp.hAPP @t452 @t8)) % 1.41/1.62 (define @t454 () (tptp.hAPP @t453 @t51)) % 1.41/1.62 (define @t455 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.41/1.62 (define @t456 () (@list @t51 @t272 @t8)) % 1.41/1.62 (define @t457 () (tptp.class_RealVector_Oreal__normed__algebra @t9)) % 1.41/1.62 (define @t458 () (@var "V_xa" $$unsorted)) % 1.41/1.62 (define @t459 () (tptp.hAPP @t14 @t458)) % 1.41/1.62 (define @t460 () (tptp.hAPP @t459 @t8)) % 1.41/1.62 (define @t461 () (@var "V_b_H" $$unsorted)) % 1.41/1.62 (define @t462 () (tptp.hAPP @t15 @t461)) % 1.41/1.62 (define @t463 () (@list @t461 @t45 @t13 @t9)) % 1.41/1.62 (define @t464 () (tptp.hAPP @t459 @t51)) % 1.41/1.62 (define @t465 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t8 @t51)) % 1.41/1.62 (define @t466 () (@list @t51 @t8 @t458 @t9)) % 1.41/1.62 (define @t467 () (@var "V_a_H" $$unsorted)) % 1.41/1.62 (define @t468 () (tptp.hAPP @t14 @t467)) % 1.41/1.62 (define @t469 () (tptp.hAPP @t468 @t45)) % 1.41/1.62 (define @t470 () (@list @t45 @t467 @t13 @t9)) % 1.41/1.62 (define @t471 () (@var "V_z2" $$unsorted)) % 1.41/1.62 (define @t472 () (@var "V_w" $$unsorted)) % 1.41/1.62 (define @t473 () (tptp.hAPP @t455 @t472)) % 1.41/1.62 (define @t474 () (tptp.hAPP @t473 @t471)) % 1.41/1.62 (define @t475 () (@var "V_z1" $$unsorted)) % 1.41/1.62 (define @t476 () (tptp.hAPP @t473 @t475)) % 1.41/1.62 (define @t477 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 @t471)) % 1.41/1.62 (define @t478 () (@list @t471 @t475 @t472)) % 1.41/1.62 (define @t479 () (tptp.hAPP @t455 @t272)) % 1.41/1.62 (define @t480 () (tptp.hAPP @t479 @t472)) % 1.41/1.62 (define @t481 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t272)) % 1.41/1.62 (define @t482 () (@list @t472 @t272)) % 1.41/1.62 (define @t483 () (tptp.hAPP @t455 @t471)) % 1.41/1.62 (define @t484 () (tptp.hAPP @t483 @t472)) % 1.41/1.62 (define @t485 () (tptp.hAPP @t455 @t475)) % 1.41/1.62 (define @t486 () (tptp.hAPP @t485 @t472)) % 1.41/1.62 (define @t487 () (@list @t472 @t471 @t475)) % 1.41/1.62 (define @t488 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.41/1.62 (define @t489 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.41/1.62 (define @t490 () (tptp.hAPP @t455 @t351)) % 1.41/1.62 (define @t491 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t351)) % 1.41/1.62 (define @t492 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t203 @t345)) % 1.41/1.62 (define @t493 () (@var "V_z3" $$unsorted)) % 1.41/1.62 (define @t494 () (@list @t493 @t471 @t475)) % 1.41/1.62 (define @t495 () (@list @t272)) % 1.41/1.62 (define @t496 () (@var "V_ya" $$unsorted)) % 1.41/1.62 (define @t497 () (tptp.hAPP @t301 @t496)) % 1.41/1.62 (define @t498 () (tptp.hAPP @t55 @t496)) % 1.41/1.62 (define @t499 () (@list @t496 @t51 @t8 @t9)) % 1.41/1.62 (define @t500 () (tptp.c_Orderings_Oord__class_Oless @t9 @t40 @t47)) % 1.41/1.62 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t13)) % 1.41/1.62 (define @t502 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t70)) % 1.41/1.62 (define @t503 () (@list @t8 @t7 @t9)) % 1.41/1.62 (define @t504 () (@var "V_v" $$unsorted)) % 1.41/1.62 (define @t505 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t14 @t448) @t8) (tptp.hAPP (tptp.hAPP @t14 @t504) @t51))) % 1.41/1.62 (define @t506 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t448 @t504) @t34)) % 1.41/1.62 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t504)) % 1.41/1.62 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t448)) % 1.41/1.62 (define @t509 () (@list @t504 @t448 @t51 @t13 @t8 @t9)) % 1.41/1.62 (define @t510 () (tptp.c_Groups_Osgn__class_Osgn @t9 @t13)) % 1.41/1.62 (define @t511 () (tptp.c_Groups_Osgn__class_Osgn @t95 @t107)) % 1.41/1.62 (define @t512 () (tptp.c_Groups_Osgn__class_Osgn @t9 @t8)) % 1.41/1.62 (define @t513 () (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t8)) % 1.41/1.62 (define @t514 () (= @t8 @t134)) % 1.41/1.62 (define @t515 () (tptp.class_Groups_Osgn__if @t9)) % 1.41/1.62 (define @t516 () (tptp.c_Polynomial_OpCons @t9 @t13 @t257)) % 1.41/1.62 (define @t517 () (tptp.c_Polynomial_OpCons @t9 @t13 @t22)) % 1.41/1.62 (define @t518 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t109 @t354)) % 1.41/1.62 (define @t519 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t299 @t354)) % 1.41/1.62 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t354 @t109)) % 1.41/1.62 (define @t521 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t354 @t299)) % 1.41/1.62 (define @t522 () (@list @t85 @t45 @t13)) % 1.41/1.62 (define @t523 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t345 @t351)) % 1.41/1.62 (define @t524 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t203)) % 1.41/1.62 (define @t525 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t347 @t351)) % 1.41/1.62 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t345)) % 1.41/1.62 (define @t527 () (@list @t203 @t345 @t351)) % 1.41/1.62 (define @t528 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t203 @t523)) % 1.41/1.62 (define @t529 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t346 @t351)) % 1.41/1.62 (define @t530 () (@var "V_i_2" $$unsorted)) % 1.41/1.62 (define @t531 () (@var "V_j_2" $$unsorted)) % 1.41/1.62 (define @t532 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t531 @t530)) % 1.41/1.62 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530 @t531)) % 1.41/1.62 (define @t534 () (@list @t354 @t531 @t530)) % 1.41/1.62 (define @t535 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t65)) % 1.41/1.62 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t530 @t354)) % 1.41/1.62 (define @t538 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t531 @t354)) % 1.41/1.62 (define @t539 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t535) @t65)) % 1.41/1.62 (define @t540 () (= @t535 @t132)) % 1.41/1.62 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t7)) % 1.41/1.62 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t299 @t109)) % 1.41/1.62 (define @t544 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t345)) % 1.41/1.62 (define @t545 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t544 @t351)) % 1.41/1.62 (define @t546 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t65)) % 1.41/1.62 (define @t547 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t7)) % 1.41/1.62 (define @t548 () (@list @t367 @t7 @t65)) % 1.41/1.62 (define @t549 () (@list @t7 @t203)) % 1.41/1.62 (define @t550 () (tptp.c_Groups_Ominus__class_Ominus @t95 @t107 @t106)) % 1.41/1.62 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t107 @t106)) % 1.41/1.62 (define @t552 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t22 @t20)) % 1.41/1.62 (define @t553 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t45)) % 1.41/1.62 (define @t554 () (tptp.c_Polynomial_OpCons @t95 @t107 @t101)) % 1.41/1.62 (define @t555 () (tptp.c_Polynomial_OpCons @t9 @t45 @t20)) % 1.41/1.62 (define @t556 () (@list @t20 @t45 @t22 @t13 @t9)) % 1.41/1.62 (define @t557 () (= @t550 (tptp.c_Groups_Ominus__class_Ominus @t95 @t181 @t276))) % 1.41/1.62 (define @t558 () (tptp.class_Groups_Oab__group__add @t95)) % 1.41/1.62 (define @t559 () (@var "V_B_2" $$unsorted)) % 1.41/1.62 (define @t560 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t472)) % 1.41/1.62 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t272 @t472)) % 1.41/1.62 (define @t562 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t472 @t272)) % 1.41/1.62 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t203 @t345)) % 1.41/1.62 (define @t564 () (@var "V_z_H" $$unsorted)) % 1.41/1.62 (define @t565 () (@var "V_w_H" $$unsorted)) % 1.41/1.62 (define @t566 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t488 @t272)) % 1.41/1.62 (define @t567 () (@list @t286)) % 1.41/1.62 (define @t568 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t287 @t286)) % 1.41/1.62 (define @t569 () (@list @t286 @t287)) % 1.41/1.62 (define @t570 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t287 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t286 @t488))) % 1.41/1.62 (define @t571 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t203)) % 1.41/1.62 (define @t572 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t203)) % 1.41/1.62 (define @t573 () (= @t203 @t489)) % 1.41/1.62 (define @t574 () (@var "V_e_2" $$unsorted)) % 1.41/1.62 (define @t575 () (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP (tptp.hAPP @t114 (tptp.c_Groups_Ominus__class_Ominus @t95 @t106 @t107)) @t574) @t276)) % 1.41/1.62 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP @t274 @t574) @t276)) % 1.41/1.62 (define @t577 () (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP @t277 @t574) @t181)) % 1.41/1.62 (define @t578 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t577 @t576)) % 1.41/1.62 (define @t579 () (tptp.class_Rings_Oordered__ring @t95)) % 1.41/1.62 (define @t580 () (@list @t276 @t106 @t181 @t574 @t107 @t95)) % 1.41/1.62 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP (tptp.hAPP @t114 @t550) @t574) @t181)) % 1.41/1.62 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t34 @t13)) % 1.41/1.62 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t251)) % 1.41/1.62 (define @t584 () (@var "V_u_2" $$unsorted)) % 1.41/1.62 (define @t585 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 @t532) @t584) @t109)) % 1.41/1.62 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 @t531) @t584) @t109)) % 1.41/1.62 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 @t530) @t584) @t299)) % 1.41/1.62 (define @t588 () (= @t587 @t586)) % 1.41/1.62 (define @t589 () (@list @t109 @t299 @t584 @t531 @t530)) % 1.41/1.62 (define @t590 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t450 @t65) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t7))) % 1.41/1.62 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t203 @t345)) % 1.41/1.62 (define @t592 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t587 @t586)) % 1.41/1.62 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t530 @t531)) @t584) @t299)) % 1.41/1.62 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t531 @t530)) % 1.41/1.62 (define @t595 () (@list @t109 @t299 @t584 @t530 @t531)) % 1.41/1.62 (define @t596 () (= @t550 @t144)) % 1.41/1.62 (define @t597 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t51)) % 1.41/1.62 (define @t598 () (tptp.hAPP @t14 @t597)) % 1.41/1.62 (define @t599 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t553)) % 1.41/1.62 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t163 @t178)) % 1.41/1.62 (define @t601 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t13 @t45)) % 1.41/1.62 (define @t602 () (tptp.class_Groups_Oordered__ab__semigroup__add @t9)) % 1.41/1.62 (define @t603 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t162 @t215)) % 1.41/1.62 (define @t604 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t85 @t171)) % 1.41/1.62 (define @t605 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t345 @t351)) % 1.41/1.62 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t351)) % 1.41/1.62 (define @t607 () (@list @t7 @t351 @t65)) % 1.41/1.62 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t351 @t65)) % 1.41/1.62 (define @t609 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t51)) % 1.41/1.62 (define @t610 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t51)) % 1.41/1.62 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t228 @t97)) % 1.41/1.62 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t51)) % 1.41/1.62 (define @t613 () (or @t322 @t300)) % 1.41/1.62 (define @t614 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t349)) % 1.41/1.62 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t606 @t7)) % 1.41/1.62 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t367)) % 1.41/1.62 (define @t617 () (@var "B_k" $$unsorted)) % 1.41/1.62 (define @t618 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t299 @t617)) % 1.41/1.62 (define @t619 () (@list @t617)) % 1.41/1.62 (define @t620 () (tptp.hAPP @t67 @t65)) % 1.41/1.62 (define @t621 () (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t134) @t134)) % 1.41/1.62 (define @t622 () (tptp.class_RealVector_Oreal__normed__vector @t9)) % 1.41/1.62 (define @t623 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t587 @t586)) % 1.41/1.62 (define @t624 () (@list @t101 @t107 @t95)) % 1.41/1.62 (define @t625 () (tptp.hAPP @t14 (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t13))) % 1.41/1.62 (define @t626 () (tptp.hAPP @t625 @t45)) % 1.41/1.62 (define @t627 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t51 @t45)) % 1.41/1.62 (define @t628 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t56 @t48)) % 1.41/1.62 (define @t629 () (@list @t45 @t13 @t51 @t8 @t9)) % 1.41/1.62 (define @t630 () (= @t577 @t576)) % 1.41/1.62 (define @t631 () (tptp.class_Rings_Oring @t95)) % 1.41/1.62 (define @t632 () (= @t553 (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t137))) % 1.41/1.62 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t106 @t144)) % 1.41/1.62 (define @t634 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t107 @t144)) % 1.41/1.62 (define @t635 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t106)) % 1.41/1.62 (define @t636 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t107)) % 1.41/1.62 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t48)) % 1.41/1.62 (define @t638 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t45)) % 1.41/1.62 (define @t639 () (tptp.class_Rings_Oordered__cancel__semiring @t9)) % 1.41/1.62 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t48 @t134)) % 1.41/1.62 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t45 @t134)) % 1.41/1.62 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t13 @t134)) % 1.41/1.62 (define @t643 () (tptp.class_Rings_Oordered__ring @t9)) % 1.41/1.62 (define @t644 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t282 @t87)) % 1.41/1.62 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t85)) % 1.41/1.62 (define @t646 () (tptp.class_Rings_Oordered__semiring @t9)) % 1.41/1.62 (define @t647 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t423 @t422)) % 1.41/1.62 (define @t648 () (=> @t601 (=> @t645 @t647))) % 1.41/1.62 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t85 @t134)) % 1.41/1.62 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t45 @t13)) % 1.41/1.62 (define @t651 () (tptp.hAPP @t86 @t171)) % 1.41/1.62 (define @t652 () (=> @t645 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t282 @t651))) % 1.41/1.62 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t45 @t163)) % 1.41/1.62 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t45 @t85)) % 1.41/1.62 (define @t655 () (@list @t13 @t45 @t85 @t9)) % 1.41/1.62 (define @t656 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t65)) % 1.41/1.62 (define @t657 () (@list @t299 @t109)) % 1.41/1.62 (define @t658 () (not @t202)) % 1.41/1.62 (define @t659 () (@list @t22 @t13 @t9)) % 1.41/1.62 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t95 @t577 @t576)) % 1.41/1.62 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t437 @t436)) % 1.41/1.62 (define @t662 () (tptp.c_Orderings_Oord__class_Oless @t9 @t282 @t651)) % 1.41/1.62 (define @t663 () (=> @t645 @t662)) % 1.41/1.62 (define @t664 () (=> @t645 @t213)) % 1.41/1.62 (define @t665 () (=> @t428 @t664)) % 1.41/1.62 (define @t666 () (tptp.class_Rings_Olinordered__semiring @t9)) % 1.41/1.62 (define @t667 () (=> @t424 @t664)) % 1.41/1.62 (define @t668 () (=> @t429 @t601)) % 1.41/1.62 (define @t669 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t51 @t34)) % 1.41/1.62 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t51)) % 1.41/1.62 (define @t671 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t8)) % 1.41/1.62 (define @t672 () (@var "B_d" $$unsorted)) % 1.41/1.62 (define @t673 () (tptp.hBOOL (tptp.hAPP @t318 @t672))) % 1.41/1.62 (define @t674 () (= @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t672))) % 1.41/1.62 (define @t675 () (@list @t672)) % 1.41/1.62 (define @t676 () (tptp.hBOOL (tptp.hAPP @t318 @t132))) % 1.41/1.62 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t107 @t106)) % 1.41/1.62 (define @t678 () (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t107 @t106)))) % 1.41/1.62 (define @t679 () (@list @t106 @t107 @t318)) % 1.41/1.62 (define @t680 () (not @t676)) % 1.41/1.62 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t408 @t407)) % 1.41/1.62 (define @t682 () (=> @t410 @t543)) % 1.41/1.62 (define @t683 () (tptp.c_Polynomial_OpCons @t9 @t34 @t257)) % 1.41/1.62 (define @t684 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t70)) % 1.41/1.62 (define @t685 () (not @t309)) % 1.41/1.62 (define @t686 () (tptp.hAPP @t157 @t22)) % 1.41/1.62 (define @t687 () (tptp.hAPP @t686 @t65)) % 1.41/1.62 (define @t688 () (tptp.c_Groups_Osgn__class_Osgn @t25 @t8)) % 1.41/1.62 (define @t689 () (tptp.c_Orderings_Oord__class_Oless @t25 @t257 @t8)) % 1.41/1.62 (define @t690 () (= @t8 @t257)) % 1.41/1.62 (define @t691 () (tptp.hAPP @t10 @t65)) % 1.41/1.62 (define @t692 () (tptp.hAPP @t691 @t7)) % 1.41/1.62 (define @t693 () (tptp.hAPP @t455 @t13)) % 1.41/1.62 (define @t694 () (= @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t240 (tptp.hAPP @t693 @t20)))) % 1.41/1.62 (define @t695 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t13)) % 1.41/1.62 (define @t696 () (@list @t20 @t240 @t13)) % 1.41/1.62 (define @t697 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t240)) % 1.41/1.62 (define @t698 () (@var "V_q_H" $$unsorted)) % 1.41/1.62 (define @t699 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t698 @t20)) % 1.41/1.62 (define @t700 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t461 @t45)) % 1.41/1.62 (define @t701 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t461)) % 1.41/1.62 (define @t702 () (@var "V_r_H" $$unsorted)) % 1.41/1.62 (define @t703 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t702)) % 1.41/1.62 (define @t704 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t240 @t45)) % 1.41/1.62 (define @t705 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t455 @t461) @t698) @t702)) % 1.41/1.62 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t705 @t489)) % 1.41/1.62 (define @t707 () (tptp.hAPP @t455 @t45)) % 1.41/1.62 (define @t708 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t707 @t20) @t240)) % 1.41/1.62 (define @t709 () (= @t708 @t705)) % 1.41/1.62 (define @t710 () (@list @t702 @t698 @t461 @t240 @t20 @t45)) % 1.41/1.62 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t20 @t698)) % 1.41/1.62 (define @t712 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t240)) % 1.41/1.62 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t240 @t489)) % 1.41/1.62 (define @t714 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t707 @t698) @t702) @t708)) % 1.41/1.62 (define @t715 () (@list @t240 @t20 @t702 @t698 @t45)) % 1.41/1.62 (define @t716 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t702 @t461)) % 1.41/1.62 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t705)) % 1.41/1.62 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t472 @t272)) % 1.41/1.62 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t272 @t472)) % 1.41/1.62 (define @t720 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t475 @t471)) % 1.41/1.62 (define @t721 () (tptp.c_Polynomial_Opos__poly @t95 (tptp.c_Groups_Ominus__class_Ominus @t258 @t228 @t97))) % 1.41/1.62 (define @t722 () (@var "V_l_2" $$unsorted)) % 1.41/1.62 (define @t723 () (@list @t722 @t354)) % 1.41/1.62 (define @t724 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t272 @t472)) % 1.41/1.62 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t272 @t560)) % 1.41/1.62 (define @t726 () (@list @t702 @t698 @t461)) % 1.41/1.62 (define @t727 () (tptp.hAPP @t23 @t85)) % 1.41/1.62 (define @t728 () (tptp.c_Polynomial_Osynthetic__div @t9 @t22 @t85)) % 1.41/1.62 (define @t729 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t8)) % 1.41/1.62 (define @t730 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t51)) % 1.41/1.62 (define @t731 () (tptp.class_Orderings_Opreorder @t9)) % 1.41/1.62 (define @t732 () (tptp.c_Nat__Transfer_Otsub @t8 @t51)) % 1.41/1.62 (define @t733 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t8)) % 1.41/1.62 (define @t734 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 @t51)) % 1.41/1.62 (define @t735 () (=> @t733 (= @t732 @t734))) % 1.41/1.62 (define @t736 () (@list @t8 @t51)) % 1.41/1.62 (define @t737 () (@var "B_n" $$unsorted)) % 1.41/1.62 (define @t738 () (tptp.tc_fun @t95 @t236)) % 1.41/1.62 (define @t739 () (tptp.c_Orderings_Oord__class_Oless__eq @t738 @t2 @t1)) % 1.41/1.62 (define @t740 () (tptp.class_Orderings_Oord @t236)) % 1.41/1.62 (define @t741 () (@list @t1 @t2 @t95 @t236)) % 1.41/1.62 (define @t742 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t51 @t8)) % 1.41/1.62 (define @t743 () (tptp.class_Orderings_Olinorder @t9)) % 1.41/1.62 (define @t744 () (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t97 @t228)) % 1.41/1.62 (define @t745 () (tptp.class_Orderings_Oorder @t95)) % 1.41/1.62 (define @t746 () (= @t744 @t229)) % 1.41/1.62 (define @t747 () (@list @t97 @t228 @t95)) % 1.41/1.62 (define @t748 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t13 @t85)) % 1.41/1.62 (define @t749 () (tptp.class_Orderings_Oord @t9)) % 1.41/1.62 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t85 @t13)) % 1.41/1.62 (define @t751 () (tptp.class_Orderings_Oorder @t9)) % 1.41/1.62 (define @t752 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t51 @t272)) % 1.41/1.62 (define @t753 () (@list @t8 @t51 @t9)) % 1.41/1.62 (define @t754 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t272 @t51)) % 1.41/1.62 (define @t755 () (@list @t272 @t8 @t51 @t9)) % 1.41/1.62 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t95 @t228 @t97)) % 1.41/1.62 (define @t757 () (tptp.c_Orderings_Oord__class_Oless @t95 @t97 @t228)) % 1.41/1.62 (define @t758 () (not @t229)) % 1.41/1.62 (define @t759 () (tptp.class_Orderings_Olinorder @t95)) % 1.41/1.62 (define @t760 () (not @t757)) % 1.41/1.62 (define @t761 () (= @t760 @t229)) % 1.41/1.62 (define @t762 () (not (= @t51 @t8))) % 1.41/1.62 (define @t763 () (tptp.c_Orderings_Oord__class_Oless @t9 @t13 @t85)) % 1.41/1.62 (define @t764 () (tptp.c_Orderings_Oord__class_Oless @t9 @t85 @t13)) % 1.41/1.62 (define @t765 () (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t272)) % 1.41/1.62 (define @t766 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t51 @t272) @t765)) % 1.41/1.62 (define @t767 () (tptp.c_Orderings_Oord__class_Oless @t9 @t272 @t8)) % 1.41/1.62 (define @t768 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t272 @t51) @t767)) % 1.41/1.62 (define @t769 () (not @t242)) % 1.41/1.62 (define @t770 () (tptp.c_Polynomial_Oorder @t9 @t13 @t22)) % 1.41/1.62 (define @t771 () (tptp.hAPP @t33 (tptp.c_Polynomial_OpCons @t9 @t126 @t683))) % 1.41/1.62 (define @t772 () (tptp.c_Rings_Odvd__class_Odvd @t25 (tptp.hAPP @t771 @t770) @t22)) % 1.41/1.62 (define @t773 () (tptp.class_Rings_Oidom @t9)) % 1.41/1.62 (define @t774 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t45 @t85)) % 1.41/1.62 (define @t775 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t48 @t85)) % 1.41/1.62 (define @t776 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t85)) % 1.41/1.62 (define @t777 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t45)) % 1.41/1.62 (define @t778 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t87)) % 1.41/1.62 (define @t779 () (tptp.c_Rings_Odvd__class_Odvd @t95 @t97 @t228)) % 1.41/1.62 (define @t780 () (tptp.class_Rings_Ocomm__ring__1 @t95)) % 1.41/1.62 (define @t781 () (tptp.hAPP @t52 @t7)) % 1.41/1.62 (define @t782 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t8 @t51)) % 1.41/1.62 (define @t783 () (tptp.c_Rings_Odvd__class_Odvd @t95 @t107 @t106)) % 1.41/1.62 (define @t784 () (= @t181 @t144)) % 1.41/1.62 (define @t785 () (or @t784 @t783)) % 1.41/1.62 (define @t786 () (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t181)) % 1.41/1.62 (define @t787 () (tptp.c_Polynomial_OpCons @t95 @t96 @t259)) % 1.41/1.62 (define @t788 () (@var "V_t_2" $$unsorted)) % 1.41/1.62 (define @t789 () (@var "V_D_2" $$unsorted)) % 1.41/1.62 (define @t790 () (tptp.class_Rings_Odvd @t95)) % 1.41/1.62 (define @t791 () (tptp.hBOOL (tptp.hAPP @t318 @t3))) % 1.41/1.62 (define @t792 () (@list @t299)) % 1.41/1.62 (define @t793 () (tptp.hAPP @t455 @t354)) % 1.41/1.62 (define @t794 () (tptp.hAPP @t793 @t299)) % 1.41/1.62 (define @t795 () (= @t354 @t489)) % 1.41/1.62 (define @t796 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t276 @t788)) % 1.41/1.62 (define @t797 () (@list @t788 @t276)) % 1.41/1.62 (define @t798 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t351 @t535)) % 1.41/1.62 (define @t799 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t351 @t7)) % 1.41/1.62 (define @t800 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t351 @t65)) % 1.41/1.62 (define @t801 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t351 @t7) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t351 @t65))) % 1.41/1.62 (define @t802 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t7 @t65)) % 1.41/1.62 (define @t803 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t65 @t7)) % 1.41/1.62 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t65)) % 1.41/1.62 (define @t805 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t7 @t65)) % 1.41/1.62 (define @t806 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t109)) % 1.41/1.62 (define @t807 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t408 @t407)) % 1.41/1.62 (define @t808 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t809 () (not (tptp.c_Rings_Odvd__class_Odvd @t25 (tptp.hAPP @t771 (tptp.c_Nat_OSuc @t770)) @t22))) % 1.41/1.62 (define @t810 () (not @t338)) % 1.41/1.62 (define @t811 () (@list @t13 @t22 @t9)) % 1.41/1.62 (define @t812 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t45)) % 1.41/1.62 (define @t813 () (@list @t45 @t7 @t13)) % 1.41/1.62 (define @t814 () (@list @t8)) % 1.41/1.62 (define @t815 () (tptp.c_Nat_OSuc @t7)) % 1.41/1.62 (define @t816 () (tptp.c_Nat_OSuc @t65)) % 1.41/1.62 (define @t817 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t816 @t815)) % 1.41/1.62 (define @t818 () (tptp.c_Nat_OSuc @t132)) % 1.41/1.62 (define @t819 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t228 @t97)) % 1.41/1.62 (define @t820 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t97 @t228)) % 1.41/1.62 (define @t821 () (@list @t228 @t97)) % 1.41/1.62 (define @t822 () (and @t820 (not @t819))) % 1.41/1.62 (define @t823 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t13)) % 1.41/1.62 (define @t824 () (and @t812 (not @t823))) % 1.41/1.62 (define @t825 () (@list @t45 @t13)) % 1.41/1.62 (define @t826 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t8 @t51)) % 1.41/1.62 (define @t827 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t51 @t8)) % 1.41/1.62 (define @t828 () (and @t826 (not @t827))) % 1.41/1.62 (define @t829 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t85)) % 1.41/1.62 (define @t830 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t85)) % 1.41/1.62 (define @t831 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t8 @t272)) % 1.41/1.62 (define @t832 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t51 @t272)) % 1.41/1.62 (define @t833 () (and @t829 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t85 @t13)))) % 1.41/1.62 (define @t834 () (and @t831 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t272 @t8)))) % 1.41/1.62 (define @t835 () (=> (and @t832 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t272 @t51))) @t834)) % 1.41/1.62 (define @t836 () (= @t299 @t818)) % 1.41/1.62 (define @t837 () (tptp.c_Nat_OSuc @t299)) % 1.41/1.62 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t109 @t837)) % 1.41/1.62 (define @t839 () (tptp.c_Nat_OSuc @t109)) % 1.41/1.62 (define @t840 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 @t839)) % 1.41/1.62 (define @t841 () (= @t838 (= @t109 @t299))) % 1.41/1.62 (define @t842 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t815)) % 1.41/1.62 (define @t843 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t816 @t7)) % 1.41/1.62 (define @t844 () (tptp.c_Nat_OSuc @t203)) % 1.41/1.62 (define @t845 () (@var "V_nat_H" $$unsorted)) % 1.41/1.62 (define @t846 () (@var "V_nat_H_1" $$unsorted)) % 1.41/1.62 (define @t847 () (tptp.c_Nat_OSuc @t117)) % 1.41/1.62 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t815)) % 1.41/1.62 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t816 @t7)) % 1.41/1.62 (define @t850 () (tptp.hAPP @t61 (tptp.c_Nat_OSuc @t354))) % 1.41/1.62 (define @t851 () (tptp.hAPP @t850 @t109)) % 1.41/1.62 (define @t852 () (tptp.hAPP @t850 @t299)) % 1.41/1.62 (define @t853 () (@var "V_nat_H_2" $$unsorted)) % 1.41/1.62 (define @t854 () (@var "V_nat_2" $$unsorted)) % 1.41/1.62 (define @t855 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t816 @t7)) % 1.41/1.62 (define @t856 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t839 @t299)) % 1.41/1.62 (define @t857 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t815)) % 1.41/1.62 (define @t858 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t816 @t7)) % 1.41/1.62 (define @t859 () (tptp.hAPP @t39 @t815)) % 1.41/1.62 (define @t860 () (tptp.hAPP @t55 @t53)) % 1.41/1.62 (define @t861 () (tptp.hAPP @t11 (tptp.c_Nat_OSuc @t20))) % 1.41/1.62 (define @t862 () (@list @t20 @t8 @t9)) % 1.41/1.62 (define @t863 () (tptp.c_Nat_OSuc @t818)) % 1.41/1.62 (define @t864 () (@var "B_j" $$unsorted)) % 1.41/1.62 (define @t865 () (@list @t864)) % 1.41/1.62 (define @t866 () (@var "B_m" $$unsorted)) % 1.41/1.62 (define @t867 () (= @t109 @t818)) % 1.41/1.62 (define @t868 () (or (and @t836 @t155) (and @t391 @t867))) % 1.41/1.62 (define @t869 () (@list @t65 @t203)) % 1.41/1.62 (define @t870 () (tptp.hAPP @t46 @t815)) % 1.41/1.62 (define @t871 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t818 @t65)) % 1.41/1.62 (define @t872 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t818 @t7)) % 1.41/1.62 (define @t873 () (tptp.c_Nat_OSuc @t345)) % 1.41/1.62 (define @t874 () (tptp.c_Nat_OSuc @t523)) % 1.41/1.62 (define @t875 () (@list @t65 @t345 @t351)) % 1.41/1.62 (define @t876 () (tptp.c_Nat_OSuc @t502)) % 1.41/1.62 (define @t877 () (@list @t106 @t107 @t109)) % 1.41/1.62 (define @t878 () (tptp.hAPP @t452 @t351)) % 1.41/1.62 (define @t879 () (@list @t351 @t65)) % 1.41/1.62 (define @t880 () (tptp.c_Polynomial_Opoly__rec @t95 @t236 @t286 @t2 @t101)) % 1.41/1.62 (define @t881 () (tptp.hAPP (tptp.hAPP @t2 @t107) @t101)) % 1.41/1.62 (define @t882 () (tptp.c_Polynomial_Opoly__rec @t95 @t236 @t286 @t2 (tptp.c_Polynomial_OpCons @t236 @t107 @t101))) % 1.41/1.62 (define @t883 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t236))) % 1.41/1.62 (define @t884 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t236)) @t883) @t286) @t286)) % 1.41/1.62 (define @t885 () (tptp.class_Groups_Ozero @t236)) % 1.41/1.62 (define @t886 () (tptp.hAPP @t793 @t276)) % 1.41/1.62 (define @t887 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t354)) % 1.41/1.62 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t276)) % 1.41/1.62 (define @t889 () (@list @t354 @t318 @t276)) % 1.41/1.62 (define @t890 () (tptp.c_Divides_Odiv__class_Odiv @t95 @t106 @t107)) % 1.41/1.62 (define @t891 () (tptp.class_Divides_Osemiring__div @t95)) % 1.41/1.62 (define @t892 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t65 @t7)) % 1.41/1.62 (define @t893 () (tptp.hAPP (tptp.hAPP @t455 @t7) @t892)) % 1.41/1.62 (define @t894 () (tptp.class_Divides_Osemiring__div @t9)) % 1.41/1.62 (define @t895 () (@list @t45)) % 1.41/1.62 (define @t896 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t13)) % 1.41/1.62 (define @t897 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t896 @t45)) % 1.41/1.62 (define @t898 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t45)) % 1.41/1.62 (define @t899 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t898)) % 1.41/1.62 (define @t900 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t45)) % 1.41/1.62 (define @t901 () (@list @t13)) % 1.41/1.62 (define @t902 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t45)) % 1.41/1.62 (define @t903 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t489)) % 1.41/1.62 (define @t904 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t107 @t106)) % 1.41/1.62 (define @t905 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t904 @t489)) % 1.41/1.62 (define @t906 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 @t489)) % 1.41/1.62 (define @t907 () (@list @t107 @t106)) % 1.41/1.62 (define @t908 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t106)) % 1.41/1.62 (define @t909 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t8 @t51)) % 1.41/1.62 (define @t910 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t13 @t45)) % 1.41/1.62 (define @t911 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t423 @t422)) % 1.41/1.62 (define @t912 () (= @t85 @t134)) % 1.41/1.62 (define @t913 () (not @t912)) % 1.41/1.62 (define @t914 () (=> @t913 (= @t911 @t910))) % 1.41/1.62 (define @t915 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t45 @t13)) % 1.41/1.62 (define @t916 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t85 @t45)) % 1.41/1.62 (define @t917 () (tptp.hAPP @t14 @t915)) % 1.41/1.62 (define @t918 () (tptp.c_Divides_Odiv__class_Odiv @t9 @t8 @t51)) % 1.41/1.62 (define @t919 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t51 @t8)) % 1.41/1.62 (define @t920 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t918)) % 1.41/1.62 (define @t921 () (tptp.class_Divides_Oring__div @t9)) % 1.41/1.62 (define @t922 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t530 @t354)) % 1.41/1.62 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t107)) % 1.41/1.62 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t904)) % 1.41/1.62 (define @t925 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t354)) % 1.41/1.62 (define @t926 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t461)) % 1.41/1.62 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t13)) % 1.41/1.62 (define @t928 () (@list @t45 @t461 @t13)) % 1.41/1.62 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t489)) % 1.41/1.62 (define @t930 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t489)) % 1.41/1.62 (define @t931 () (= @t900 @t489)) % 1.41/1.62 (define @t932 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t45)) % 1.41/1.62 (define @t933 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t489)) % 1.41/1.62 (define @t934 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t13)) % 1.41/1.62 (define @t935 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t467 @t45)) % 1.41/1.62 (define @t936 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t467)) % 1.41/1.62 (define @t937 () (@list @t45 @t467 @t13)) % 1.41/1.62 (define @t938 () (tptp.hAPP @t707 @t85)) % 1.41/1.62 (define @t939 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t85)) % 1.41/1.62 (define @t940 () (@list @t45 @t13 @t85)) % 1.41/1.62 (define @t941 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t85 @t910)) % 1.41/1.62 (define @t942 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t422)) % 1.41/1.62 (define @t943 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t87)) % 1.41/1.62 (define @t944 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t910 @t34)) % 1.41/1.62 (define @t945 () (not @t154)) % 1.41/1.62 (define @t946 () (@var "B_i" $$unsorted)) % 1.41/1.62 (define @t947 () (tptp.hAPP @t318 @t946)) % 1.41/1.62 (define @t948 () (tptp.hBOOL @t947)) % 1.41/1.62 (define @t949 () (= @t109 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t793 @t946) @t864))) % 1.41/1.62 (define @t950 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t864) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t864 @t489) @t949)) % 1.41/1.62 (define @t951 () (@list @t946)) % 1.41/1.62 (define @t952 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t489)) % 1.41/1.62 (define @t953 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t864) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t864 @t354) @t949)) % 1.41/1.62 (define @t954 () (tptp.hAPP @t318 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t109 @t354))) % 1.41/1.62 (define @t955 () (@list @t354 @t109 @t318)) % 1.41/1.62 (define @t956 () (@var "V_b_1" $$unsorted)) % 1.41/1.62 (define @t957 () (@var "V_a_1" $$unsorted)) % 1.41/1.62 (define @t958 () (not (= @t956 @t489))) % 1.41/1.62 (define @t959 () (@var "V_r_1" $$unsorted)) % 1.41/1.62 (define @t960 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t956)) % 1.41/1.62 (define @t961 () (not @t960)) % 1.41/1.62 (define @t962 () (tptp.hAPP @t455 @t956)) % 1.41/1.62 (define @t963 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t367)) % 1.41/1.62 (define @t964 () (tptp.c_SMT_Oz3div @t351 @t367)) % 1.41/1.62 (define @t965 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t367)) % 1.41/1.62 (define @t966 () (not @t965)) % 1.41/1.62 (define @t967 () (@list @t351 @t367)) % 1.41/1.62 (define @t968 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t969 () (tptp.c_Divides_Odiv__class_Odiv @t25 @t8 @t51)) % 1.41/1.62 (define @t970 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t969)) % 1.41/1.62 (define @t971 () (tptp.class_Fields_Ofield @t9)) % 1.41/1.62 (define @t972 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t13 @t45)) % 1.41/1.62 (define @t973 () (tptp.hAPP @t61 @t45)) % 1.41/1.62 (define @t974 () (tptp.hAPP @t973 @t85)) % 1.41/1.62 (define @t975 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t416 @t415)) % 1.41/1.62 (define @t976 () (= @t975 @t968)) % 1.41/1.62 (define @t977 () (= @t351 @t132)) % 1.41/1.62 (define @t978 () (=> @t202 (= @t968 @t132))) % 1.41/1.62 (define @t979 () (= @t968 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t535 @t7)))) % 1.41/1.62 (define @t980 () (=> @t658 @t979)) % 1.41/1.62 (define @t981 () (@list @t946 @t864)) % 1.41/1.62 (define @t982 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t299 @t109)) % 1.41/1.62 (define @t983 () (@var "B_q" $$unsorted)) % 1.41/1.62 (define @t984 () (@list @t983)) % 1.41/1.62 (define @t985 () (tptp.hBOOL @t319)) % 1.41/1.62 (define @t986 () (tptp.hBOOL (tptp.hAPP @t947 @t864))) % 1.41/1.62 (define @t987 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t109 @t354)) % 1.41/1.62 (define @t988 () (tptp.hBOOL (tptp.hAPP @t954 @t987))) % 1.41/1.62 (define @t989 () (@list @t109 @t318 @t354)) % 1.41/1.62 (define @t990 () (tptp.c_Divides_Odiv__class_Omod @t9 @t13 @t45)) % 1.41/1.62 (define @t991 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t45)) % 1.41/1.62 (define @t992 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t85)) % 1.41/1.62 (define @t993 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t85)) % 1.41/1.62 (define @t994 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t45)) % 1.41/1.62 (define @t995 () (tptp.hAPP (tptp.hAPP @t14 @t910) @t45)) % 1.41/1.62 (define @t996 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t86 @t910) @t990)) % 1.41/1.62 (define @t997 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t995 @t990)) % 1.41/1.62 (define @t998 () (tptp.c_Divides_Odiv__class_Omod @t9 @t13 @t85)) % 1.41/1.62 (define @t999 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t65 @t7)) % 1.41/1.62 (define @t1000 () (@var "V_f" $$unsorted)) % 1.41/1.62 (define @t1001 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t351 (tptp.c_Divides_Odiv__class_Omod @t9 @t65 @t7))) % 1.41/1.62 (define @t1002 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t351 @t7)) % 1.41/1.62 (define @t1003 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t351 @t65)) % 1.41/1.62 (define @t1004 () (@list @t7 @t65 @t351 @t9)) % 1.41/1.62 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t991)) % 1.41/1.62 (define @t1006 () (@list @t13 @t45)) % 1.41/1.62 (define @t1007 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t991 @t45)) % 1.41/1.62 (define @t1008 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t351 @t367)) % 1.41/1.62 (define @t1009 () (not (= @t1008 @t489))) % 1.41/1.62 (define @t1010 () (@list @t367 @t351)) % 1.41/1.62 (define @t1011 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t351 @t963)) % 1.41/1.62 (define @t1012 () (tptp.c_Divides_Odiv__class_Omod @t9 @t553 @t85)) % 1.41/1.62 (define @t1013 () (tptp.c_Divides_Odiv__class_Omod @t9 @t45 @t85)) % 1.41/1.62 (define @t1014 () (= @t1013 (tptp.c_Divides_Odiv__class_Omod @t9 @t461 @t85))) % 1.41/1.62 (define @t1015 () (= @t998 (tptp.c_Divides_Odiv__class_Omod @t9 @t467 @t85))) % 1.41/1.62 (define @t1016 () (@list @t461 @t45 @t467 @t85 @t13 @t9)) % 1.41/1.62 (define @t1017 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t734 @t65)) % 1.41/1.62 (define @t1018 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t8 @t65)) % 1.41/1.62 (define @t1019 () (@list @t51 @t65 @t8)) % 1.41/1.62 (define @t1020 () (tptp.hAPP @t693 @t992)) % 1.41/1.62 (define @t1021 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1020 @t85)) % 1.41/1.62 (define @t1022 () (tptp.hAPP @t693 @t45)) % 1.41/1.62 (define @t1023 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1022 @t85)) % 1.41/1.62 (define @t1024 () (tptp.c_Divides_Odiv__class_Omod @t9 @t48 @t85)) % 1.41/1.62 (define @t1025 () (tptp.hAPP @t14 @t998)) % 1.41/1.62 (define @t1026 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t1025 @t45) @t85)) % 1.41/1.62 (define @t1027 () (tptp.c_Divides_Odiv__class_Omod @t9 @t126 @t45)) % 1.41/1.62 (define @t1028 () (tptp.c_Divides_Odiv__class_Omod @t9 @t138 @t85)) % 1.41/1.62 (define @t1029 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t998 @t45) @t85)) % 1.41/1.62 (define @t1030 () (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t1013) @t85)) % 1.41/1.62 (define @t1031 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t896 @t45)) % 1.41/1.62 (define @t1032 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t898)) % 1.41/1.62 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t991)) % 1.41/1.62 (define @t1034 () (= @t991 @t13)) % 1.41/1.62 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t991 @t489)) % 1.41/1.62 (define @t1036 () (= @t991 @t489)) % 1.41/1.62 (define @t1037 () (not @t1036)) % 1.41/1.62 (define @t1038 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t707 @t900) @t991)) % 1.41/1.62 (define @t1039 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t351)) % 1.41/1.62 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t318 @t864))) % 1.41/1.62 (define @t1041 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t707 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t20 @t85)) @t240)) % 1.41/1.62 (define @t1042 () (@list @t20 @t45 @t240 @t85)) % 1.41/1.62 (define @t1043 () (@list @t20 @t240 @t45 @t85)) % 1.41/1.62 (define @t1044 () (@var "V_q_1" $$unsorted)) % 1.41/1.62 (define @t1045 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t900)) % 1.41/1.62 (define @t1046 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1045 @t488)) % 1.41/1.62 (define @t1047 () (not (= @t45 @t489))) % 1.41/1.62 (define @t1048 () (tptp.c_SMT_Oz3mod @t351 @t367)) % 1.41/1.62 (define @t1049 () (tptp.hAPP (tptp.hAPP @t61 @t968) @t7)) % 1.41/1.62 (define @t1050 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t65 @t7)) % 1.41/1.62 (define @t1051 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t1050)) % 1.41/1.62 (define @t1052 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t85)) % 1.41/1.62 (define @t1053 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t85)) % 1.41/1.62 (define @t1054 () (tptp.hAPP @t61 @t13)) % 1.41/1.62 (define @t1055 () (@var "T" $$unsorted)) % 1.41/1.62 (define @t1056 () (tptp.class_Rings_Ocomm__ring__1 @t1055)) % 1.41/1.62 (define @t1057 () (@list @t1055)) % 1.41/1.62 (define @t1058 () (tptp.class_Groups_Ocomm__monoid__mult @t1055)) % 1.41/1.62 (define @t1059 () (forall @t1057 (=> @t1056 @t1058))) % 1.41/1.62 (define @t1060 () (tptp.class_Rings_Ocomm__semiring__1 @t1055)) % 1.41/1.62 (define @t1061 () (forall @t1057 (=> @t1056 @t1060))) % 1.41/1.62 (define @t1062 () (tptp.class_Rings_Ocomm__semiring__0 @t1055)) % 1.41/1.62 (define @t1063 () (forall @t1057 (=> @t1056 @t1062))) % 1.41/1.62 (define @t1064 () (@var "T_1" $$unsorted)) % 1.41/1.62 (define @t1065 () (tptp.tc_Polynomial_Opoly @t1064)) % 1.41/1.62 (define @t1066 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1064)) % 1.41/1.62 (define @t1067 () (@list @t1064)) % 1.41/1.62 (define @t1068 () (@var "T_2" $$unsorted)) % 1.41/1.62 (define @t1069 () (tptp.tc_fun @t1068 @t1064)) % 1.41/1.62 (define @t1070 () (@list @t1068 @t1064)) % 1.41/1.62 (define @t1071 () (tptp.class_Rings_Oidom @t1064)) % 1.41/1.62 (define @t1072 () (tptp.class_Rings_Olinordered__idom @t1064)) % 1.41/1.62 (define @t1073 () (tptp.class_Rings_Ocomm__semiring__0 @t1064)) % 1.41/1.62 (define @t1074 () (tptp.class_Rings_Ocomm__semiring__1 @t1064)) % 1.41/1.62 (define @t1075 () (tptp.class_Groups_Ocomm__monoid__add @t1064)) % 1.41/1.62 (define @t1076 () (tptp.class_Rings_Ocomm__semiring__1 @t1065)) % 1.41/1.62 (define @t1077 () (forall @t1067 (=> @t1074 @t1076))) % 1.41/1.62 (define @t1078 () (tptp.class_Fields_Ofield @t1064)) % 1.41/1.62 (define @t1079 () (tptp.class_Groups_Oab__group__add @t1064)) % 1.41/1.62 (define @t1080 () (tptp.class_Rings_Ocomm__ring__1 @t1064)) % 1.41/1.62 (define @t1081 () (tptp.class_Rings_Ocomm__ring @t1064)) % 1.41/1.62 (define @t1082 () (@var "V_x_2" $$unsorted)) % 1.41/1.62 (define @t1083 () (= @t1082 @t228)) % 1.41/1.62 (define @t1084 () (tptp.hBOOL (tptp.c_fequal @t1082 @t228))) % 1.41/1.62 (define @t1085 () (@list @t228 @t1082)) % 1.41/1.62 (define @t1086 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_p) tptp.v_x)) % 1.41/1.62 (define @t1087 () (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.t_a) tptp.v_x) tptp.v_n)) % 1.41/1.62 (define @t1088 () (tptp.c_Groups_Otimes__class_Otimes tptp.t_a)) % 1.41/1.62 (define @t1089 () (tptp.hAPP @t1088 @t1087)) % 1.41/1.62 (define @t1090 () (tptp.hAPP @t1089 @t1086)) % 1.41/1.62 (define @t1091 () (tptp.c_Groups_Oone__class_Oone tptp.t_a)) % 1.41/1.62 (define @t1092 () (tptp.c_Polynomial_Omonom tptp.t_a @t1091 tptp.v_n)) % 1.41/1.62 (define @t1093 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 1.41/1.62 (define @t1094 () (tptp.c_Groups_Otimes__class_Otimes @t1093)) % 1.41/1.62 (define @t1095 () (tptp.hAPP (tptp.hAPP @t1094 @t1092) tptp.v_p)) % 1.41/1.62 (define @t1096 () (tptp.c_Polynomial_Opoly tptp.t_a @t1095)) % 1.41/1.62 (define @t1097 () (tptp.hAPP @t1096 tptp.v_x)) % 1.41/1.62 (define @t1098 () (= @t1097 @t1090)) % 1.41/1.62 (define @t1099 () (tptp.class_Rings_Ocomm__ring__1 tptp.t_a)) % 1.41/1.62 (define @t1100 () (= @t13 @t59)) % 1.41/1.62 (define @t1101 () (@list tptp.t_a)) % 1.41/1.62 (define @t1102 () (tptp.class_Groups_Ocomm__monoid__mult tptp.t_a)) % 1.41/1.62 (define @t1103 () (not @t1099)) % 1.41/1.62 (define @t1104 () (or @t1103 @t1102)) % 1.41/1.62 (define @t1105 () (@list false false)) % 1.41/1.62 (define @t1106 () (tptp.hAPP @t1089 @t1091)) % 1.41/1.62 (define @t1107 () (= @t1087 @t1106)) % 1.41/1.62 (define @t1108 () (not @t1102)) % 1.41/1.62 (define @t1109 () (or @t1108 @t1107)) % 1.41/1.62 (define @t1110 () (tptp.class_Rings_Ocomm__semiring__1 tptp.t_a)) % 1.41/1.62 (define @t1111 () (or @t1103 @t1110)) % 1.41/1.62 (define @t1112 () (tptp.hAPP @t1088 @t1086)) % 1.41/1.62 (define @t1113 () (= @t1090 (tptp.hAPP @t1112 @t1087))) % 1.41/1.62 (define @t1114 () (not @t1110)) % 1.41/1.62 (define @t1115 () (or @t1114 @t1113)) % 1.41/1.62 (define @t1116 () (tptp.class_Rings_Ocomm__semiring__1 @t1093)) % 1.41/1.62 (define @t1117 () (or @t1114 @t1116)) % 1.41/1.62 (define @t1118 () (tptp.hAPP (tptp.hAPP @t1094 tptp.v_p) @t1092)) % 1.41/1.62 (define @t1119 () (= @t1095 @t1118)) % 1.41/1.62 (define @t1120 () (not @t1116)) % 1.41/1.62 (define @t1121 () (or @t1120 @t1119)) % 1.41/1.62 (define @t1122 () (tptp.hAPP (tptp.hAPP @t1088 @t1091) @t1087)) % 1.41/1.62 (define @t1123 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a @t1092) tptp.v_x)) % 1.41/1.62 (define @t1124 () (= @t1123 @t1122)) % 1.41/1.62 (define @t1125 () (or @t1114 @t1124)) % 1.41/1.62 (define @t1126 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 1.41/1.62 (define @t1127 () (or @t1103 @t1126)) % 1.41/1.62 (define @t1128 () (tptp.hAPP @t1112 @t1123)) % 1.41/1.62 (define @t1129 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a @t1118) tptp.v_x) @t1128)) % 1.41/1.62 (define @t1130 () (not @t1126)) % 1.41/1.62 (define @t1131 () (or @t1130 @t1129)) % 1.41/1.62 (define @t1132 () (= @t1106 @t1122)) % 1.41/1.62 (define @t1133 () (or @t1114 @t1132)) % 1.41/1.62 (define @t1134 () (and @t1107 @t1113 @t1119 @t1124 @t1129 @t1132)) % 1.41/1.62 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.41/1.62 (assume @p2 @t19) % 1.41/1.62 (assume @p3 @t32) % 1.41/1.62 (assume @p4 (forall (@list @t8 @t7 @t22 @t9) (=> @t18 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 (tptp.hAPP (tptp.hAPP @t33 @t22) @t7)) @t8) (tptp.hAPP (tptp.hAPP @t10 @t24) @t7))))) % 1.41/1.62 (assume @p5 (forall @t36 (=> @t18 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t35) @t8) @t34)))) % 1.41/1.62 (assume @p6 (forall @t38 (=> @t37 (= (tptp.hAPP (tptp.hAPP @t10 @t34) @t7) @t34)))) % 1.41/1.62 (assume @p7 (forall @t44 (=> @t37 (= @t43 @t41)))) % 1.41/1.62 (assume @p8 (forall @t50 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t10 @t48) @t7) (tptp.hAPP @t42 @t47))))) % 1.41/1.62 (assume @p9 (forall (@list @t20 @t51 @t8 @t9) (=> @t18 (= (tptp.hAPP (tptp.hAPP @t10 @t56) @t20) (tptp.hAPP @t54 (tptp.hAPP @t52 @t20)))))) % 1.41/1.62 (assume @p10 (forall @t58 (=> @t37 @t57))) % 1.41/1.62 (assume @p11 (forall @t58 (=> @t18 @t57))) % 1.41/1.62 (assume @p12 (forall @t58 (=> @t49 @t57))) % 1.41/1.62 (assume @p13 (forall @t58 (=> @t37 @t60))) % 1.41/1.62 (assume @p14 (forall @t64 (=> @t18 (= (tptp.hAPP (tptp.hAPP @t10 @t63) @t20) (tptp.hAPP @t11 (tptp.hAPP @t62 @t20)))))) % 1.41/1.62 (assume @p15 (forall @t69 (=> @t37 (= (tptp.hAPP @t39 @t68) (tptp.hAPP (tptp.hAPP @t10 @t66) @t7))))) % 1.41/1.62 (assume @p16 (forall @t36 (=> @t18 (= (tptp.hAPP @t11 @t70) @t8)))) % 1.41/1.62 (assume @p17 (forall @t58 (=> @t37 (= (tptp.hAPP @t39 @t70) @t13)))) % 1.41/1.62 (assume @p18 (forall @t82 (=> @t18 (= @t81 (tptp.hAPP @t77 (tptp.hAPP @t73 @t71)))))) % 1.41/1.62 (assume @p19 (forall @t82 (=> @t18 (= @t81 (tptp.hAPP @t78 (tptp.hAPP @t80 @t71)))))) % 1.41/1.62 (assume @p20 (forall @t82 (=> @t18 (= @t81 (tptp.hAPP @t76 (tptp.hAPP @t73 @t79)))))) % 1.41/1.62 (assume @p21 (forall @t84 (=> @t18 (= @t83 (tptp.hAPP @t77 @t72))))) % 1.41/1.62 (assume @p22 (forall @t84 (=> @t18 (= @t83 (tptp.hAPP @t76 (tptp.hAPP @t73 @t74)))))) % 1.41/1.62 (assume @p23 (forall @t88 (=> (tptp.class_Groups_Oab__semigroup__mult @t9) (= (tptp.hAPP (tptp.hAPP @t14 @t48) @t85) (tptp.hAPP @t15 @t87))))) % 1.41/1.62 (assume @p24 (forall @t90 (=> @t18 (= @t89 (tptp.hAPP @t77 @t71))))) % 1.41/1.62 (assume @p25 (forall @t90 (=> @t18 (= @t89 (tptp.hAPP @t78 (tptp.hAPP @t76 @t71)))))) % 1.41/1.62 (assume @p26 @t94) % 1.41/1.62 (assume @p27 (forall @t99 (=> (tptp.class_Groups_Oone @t95) (= (= @t96 @t97) @t98)))) % 1.41/1.62 (assume @p28 (forall (@list @t100 @t101 @t95) (=> @t105 (= (= @t103 (tptp.c_Polynomial_Opoly @t95 @t100)) @t102)))) % 1.41/1.62 (assume @p29 (forall (@list @t106 @t109 @t107 @t95) (=> @t111 (= (= @t110 (tptp.c_Polynomial_Omonom @t95 @t106 @t109)) @t108)))) % 1.41/1.62 (assume @p30 @t113) % 1.41/1.62 (assume @p31 (forall @t58 (=> @t18 @t60))) % 1.41/1.62 (assume @p32 (forall (@list @t95) (=> @t116 (= @t115 (tptp.c_Power_Opower_Opower @t95 @t96 @t114))))) % 1.41/1.62 (assume @p33 (forall (@list @t7 @t45 @t65 @t13 @t9) (=> @t30 (= (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Polynomial_Omonom @t9 @t13 @t65)) @t118) (tptp.c_Polynomial_Omonom @t9 @t48 @t117))))) % 1.41/1.62 (assume @p34 (forall @t93 (=> @t119 (= (tptp.hAPP @t15 @t48) @t48)))) % 1.41/1.62 (assume @p35 (forall @t36 (=> @t119 (= @t120 @t8)))) % 1.41/1.62 (assume @p36 (forall @t58 (=> @t119 (= @t121 @t13)))) % 1.41/1.62 (assume @p37 (forall @t44 (=> @t123 (=> @t122 (tptp.c_Orderings_Oord__class_Oless @t9 @t40 @t41))))) % 1.41/1.62 (assume @p38 (forall @t44 (=> @t123 (=> @t122 (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t41))))) % 1.41/1.62 (assume @p39 (forall @t31 (=> @t30 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t124) @t8) (tptp.hAPP @t23 @t21))))) % 1.41/1.62 (assume @p40 (forall @t44 (=> @t127 (= (tptp.hAPP (tptp.hAPP @t10 @t126) @t7) (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t10 @t125) @t7)) @t40))))) % 1.41/1.62 (assume @p41 (forall @t131 (=> @t130 (=> @t129 (=> @t128 (tptp.c_Polynomial_Opos__poly @t9 @t28)))))) % 1.41/1.62 (assume @p42 (forall @t36 (=> @t18 (= (tptp.hAPP @t11 @t132) @t34)))) % 1.41/1.62 (assume @p43 (forall @t58 (=> @t133 (= (tptp.hAPP @t39 @t132) @t34)))) % 1.41/1.62 (assume @p44 (forall @t136 (=> @t135 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t134) @t134)))) % 1.41/1.62 (assume @p45 (forall @t58 (=> @t135 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t126) @t13)))) % 1.41/1.62 (assume @p46 (forall @t93 (=> @t140 (= @t139 (tptp.c_Groups_Oplus__class_Oplus @t9 @t126 @t137))))) % 1.41/1.62 (assume @p47 (forall @t93 (=> @t135 (= @t139 (tptp.c_Groups_Oplus__class_Oplus @t9 @t137 @t126))))) % 1.41/1.62 (assume @p48 (forall @t58 (=> @t142 @t141))) % 1.41/1.62 (assume @p49 (forall @t58 (=> @t18 @t141))) % 1.41/1.62 (assume @p50 (forall @t58 (=> @t143 @t141))) % 1.41/1.62 (assume @p51 (forall @t99 (=> @t111 (= (= @t144 @t97) @t145)))) % 1.41/1.62 (assume @p52 (forall @t148 (=> @t147 (= (= @t144 @t146) (= @t144 @t107))))) % 1.41/1.62 (assume @p53 (forall @t148 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t146) @t149)))) % 1.41/1.62 (assume @p54 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t152) @t151)))) % 1.41/1.62 (assume @p55 (forall @t148 (=> @t153 (= (= @t144 @t152) @t154)))) % 1.41/1.62 (assume @p56 (forall @t160 (= @t159 (or @t156 @t155)))) % 1.41/1.62 (assume @p57 (forall @t58 (=> @t142 @t161))) % 1.41/1.62 (assume @p58 (forall @t58 (=> @t18 @t161))) % 1.41/1.62 (assume @p59 (forall @t58 (=> @t143 @t161))) % 1.41/1.62 (assume @p60 (forall (@list @t85 @t13 @t9) (=> @t18 (= @t163 @t162)))) % 1.41/1.62 (assume @p61 (forall @t58 (=> @t135 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t126) @t134)))) % 1.41/1.62 (assume @p62 (forall @t148 (=> @t153 (= (= @t107 @t146) @t154)))) % 1.41/1.62 (assume @p63 (forall @t166 (=> @t147 (= @t165 (= @t106 @t146))))) % 1.41/1.62 (assume @p64 (forall @t166 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t107 @t164) (tptp.c_Orderings_Oord__class_Oless @t95 @t106 @t146))))) % 1.41/1.62 (assume @p65 (forall @t166 (=> @t147 (= @t165 (= @t167 @t144))))) % 1.41/1.62 (assume @p66 (forall @t170 (=> @t169 (= (= @t106 @t168) @t154)))) % 1.41/1.62 (assume @p67 (forall @t174 (=> @t18 (= @t173 (tptp.c_Groups_Oplus__class_Oplus @t9 @t85 (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t171)))))) % 1.41/1.62 (assume @p68 (forall @t174 (=> @t18 (= @t173 (tptp.c_Groups_Oplus__class_Oplus @t9 @t163 @t171))))) % 1.41/1.62 (assume @p69 (forall @t93 (=> @t135 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 (tptp.c_Groups_Oplus__class_Oplus @t9 @t126 @t45)) @t45)))) % 1.41/1.62 (assume @p70 (forall @t148 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t146 @t144) @t151)))) % 1.41/1.62 (assume @p71 (forall @t148 (=> @t147 (= (= @t146 @t144) @t154)))) % 1.41/1.62 (assume @p72 (forall @t58 (=> @t135 @t175))) % 1.41/1.62 (assume @p73 (forall @t58 (=> @t140 @t175))) % 1.41/1.62 (assume @p74 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t146 @t107) @t151)))) % 1.41/1.62 (assume @p75 (forall @t148 (=> @t153 (= (= @t146 @t107) @t154)))) % 1.41/1.62 (assume @p76 (forall @t166 (=> @t147 (= (= @t146 @t106) (= @t164 @t107))))) % 1.41/1.62 (assume @p77 (forall @t166 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t146 @t106) (tptp.c_Orderings_Oord__class_Oless @t95 @t164 @t107))))) % 1.41/1.62 (assume @p78 (forall @t166 (=> @t147 (= (= @t146 @t164) @t108)))) % 1.41/1.62 (assume @p79 (forall @t170 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t164 @t146) @t176)))) % 1.41/1.62 (assume @p80 (forall @t93 (=> @t135 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t126 @t138) @t45)))) % 1.41/1.62 (assume @p81 (forall @t148 (=> @t153 @t177))) % 1.41/1.62 (assume @p82 (forall @t88 (=> @t18 @t180))) % 1.41/1.62 (assume @p83 (forall @t88 (=> (tptp.class_Groups_Oab__semigroup__add @t9) @t180))) % 1.41/1.62 (assume @p84 (forall @t88 (=> @t18 (= @t179 (tptp.c_Groups_Oplus__class_Oplus @t9 @t163 @t45))))) % 1.41/1.62 (assume @p85 (forall @t185 (=> @t184 (= (= @t167 @t183) @t182)))) % 1.41/1.62 (assume @p86 (forall (@list @t181 @t107 @t106 @t95) (=> @t184 (= (= @t168 @t186) @t182)))) % 1.41/1.62 (assume @p87 (forall @t189 (=> @t188 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t183 @t187) @t176)))) % 1.41/1.62 (assume @p88 (forall @t191 (=> @t188 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t186 @t190) @t176)))) % 1.41/1.62 (assume @p89 (forall @t193 (=> @t18 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t172) (tptp.c_Groups_Oplus__class_Oplus @t9 @t163 @t192))))) % 1.41/1.62 (assume @p90 (forall (@list @t107 @t195 @t194 @t95) (= (tptp.hAPP @t196 @t132) @t194))) % 1.41/1.62 (assume @p91 (forall @t93 (=> @t201 (=> @t200 @t199)))) % 1.41/1.62 (assume @p92 (forall @t207 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t203) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t205) @t202)))) % 1.41/1.62 (assume @p93 (forall @t93 (=> @t201 (=> @t211 @t210)))) % 1.41/1.62 (assume @p94 (forall @t88 (=> @t214 (=> @t213 @t212)))) % 1.41/1.62 (assume @p95 (forall @t88 (=> @t214 (=> @t213 @t216)))) % 1.41/1.62 (assume @p96 (forall @t193 (=> @t214 (=> @t213 @t219)))) % 1.41/1.62 (assume @p97 (forall @t93 (=> @t135 (=> (= @t138 @t134) (= @t126 @t45))))) % 1.41/1.62 (assume @p98 (forall @t88 (=> @t222 @t221))) % 1.41/1.62 (assume @p99 (forall @t88 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t9) @t221))) % 1.41/1.62 (assume @p100 (forall @t224 (=> @t222 (=> (= @t223 @t162) @t220)))) % 1.41/1.62 (assume @p101 (forall @t226 (=> @t225 (=> @t212 @t213)))) % 1.41/1.62 (assume @p102 (forall @t227 (=> @t225 (=> @t216 @t213)))) % 1.41/1.62 (assume @p103 (forall @t233 (=> @t232 (= (= @t231 @t230) @t229)))) % 1.41/1.62 (assume @p104 (forall (@list @t97 @t234 @t236 @t95) (=> (tptp.class_Groups_Ouminus @t95) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t237 @t234) @t97) (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t235))))) % 1.41/1.62 (assume @p105 (forall @t36 (=> @t239 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t238) @t8)))) % 1.41/1.62 (assume @p106 (forall (@list @t171 @t85 @t45 @t13 @t240 @t9) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t9) (=> (not (= @t240 @t134)) (=> (and @t242 (not (= @t85 @t171))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 (tptp.hAPP @t241 @t85)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 (tptp.hAPP @t241 @t171))))))))) % 1.41/1.62 (assume @p107 (forall @t44 (=> @t123 (=> @t200 (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t40))))) % 1.41/1.62 (assume @p108 (forall @t246 (=> (and @t116 (tptp.class_Rings_Omult__zero @t95) (tptp.class_Rings_Ono__zero__divisors @t95) (tptp.class_Rings_Ozero__neq__one @t95)) (= (= @t245 @t144) (and @t154 @t243))))) % 1.41/1.62 (assume @p109 (forall (@list @t8 @t22 @t9) (=> @t248 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t247) @t8) (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t24))))) % 1.41/1.62 (assume @p110 (forall @t31 (=> @t30 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t249) @t8) (tptp.c_Groups_Oplus__class_Oplus @t9 @t24 @t21))))) % 1.41/1.62 (assume @p111 (forall @t44 (=> @t140 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t16) (tptp.c_Polynomial_Omonom @t9 @t126 @t7))))) % 1.41/1.62 (assume @p112 (forall @t250 (=> @t143 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t16 @t118) (tptp.c_Polynomial_Omonom @t9 @t138 @t7))))) % 1.41/1.62 (assume @p113 (forall @t255 (=> @t123 (=> @t254 (=> @t200 (=> @t253 (tptp.c_Orderings_Oord__class_Oless @t9 @t252 @t40))))))) % 1.41/1.62 (assume @p114 (forall @t44 (=> @t123 (=> @t122 (=> @t256 (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t40)))))) % 1.41/1.62 (assume @p115 (forall @t36 (=> @t30 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t257) @t8) @t134)))) % 1.41/1.62 (assume @p116 (forall @t246 (=> @t111 (= (= @t110 @t259) @t154)))) % 1.41/1.62 (assume @p117 (forall @t38 (=> @t260 (= (tptp.c_Polynomial_Omonom @t9 @t134 @t7) @t257)))) % 1.41/1.62 (assume @p118 (forall @t266 (=> @t265 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t263 @t262) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t228)))))) % 1.41/1.62 (assume @p119 (forall @t69 (=> @t123 (=> @t122 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t66 @t40) @t202))))) % 1.41/1.62 (assume @p120 (forall @t255 (=> @t123 (=> @t254 (=> @t122 (tptp.c_Orderings_Oord__class_Oless @t9 @t40 @t252)))))) % 1.41/1.62 (assume @p121 (forall @t38 (=> @t271 (and (=> @t269 (= @t268 @t34)) (=> @t270 (= @t268 @t134)))))) % 1.41/1.62 (assume @p122 (forall @t273 (=> @t18 (= (tptp.hAPP @t55 (tptp.c_Groups_Oplus__class_Oplus @t9 @t51 @t272)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t56 (tptp.hAPP @t55 @t272)))))) % 1.41/1.62 (assume @p123 (forall @t281 (=> @t169 (= (and (not @t108) (not @t280)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t95 @t279 (tptp.hAPP @t274 @t276)) (tptp.c_Groups_Oplus__class_Oplus @t95 @t278 @t275))))))) % 1.41/1.62 (assume @p124 (forall @t88 (=> @t18 @t284))) % 1.41/1.62 (assume @p125 (forall (@list @t45 @t65 @t13 @t9) (=> @t18 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t285 (tptp.hAPP @t86 @t65)) (tptp.hAPP @t283 @t65))))) % 1.41/1.62 (assume @p126 (forall (@list @t286 @t97 @t228 @t287 @t95) (=> @t169 (= (= (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP @t289 @t228) (tptp.hAPP @t288 @t286)) (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.hAPP @t289 @t286) (tptp.hAPP @t288 @t228))) (or (= @t287 @t97) (= @t228 @t286)))))) % 1.41/1.62 (assume @p127 (forall @t58 (=> @t18 @t291))) % 1.41/1.62 (assume @p128 (forall @t58 (=> @t18 @t292))) % 1.41/1.62 (assume @p129 (forall @t44 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t9) (=> @t294 (not (= @t40 @t134)))))) % 1.41/1.62 (assume @p130 (forall @t44 (=> @t123 (=> @t200 (=> @t253 (tptp.c_Orderings_Oord__class_Oless @t9 @t41 @t40)))))) % 1.41/1.62 (assume @p131 (forall @t36 (=> @t295 (= @t238 (tptp.hAPP (tptp.hAPP @t14 @t125) @t8))))) % 1.41/1.62 (assume @p132 (forall (@list @t65 @t9) (=> @t18 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t65 @t65) (tptp.hAPP (tptp.hAPP @t14 @t296) @t65))))) % 1.41/1.62 (assume @p133 (forall (@list @t13 @t65 @t9) (=> @t18 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t65 @t285) @t298)))) % 1.41/1.62 (assume @p134 (forall (@list @t65 @t13 @t9) (=> @t18 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t285 @t65) @t298)))) % 1.41/1.62 (assume @p135 (forall (@list @t109 @t299 @t107 @t95) (=> @t265 (=> (tptp.c_Orderings_Oord__class_Oless @t95 @t96 @t107) (= (= (tptp.hAPP @t244 @t299) @t245) @t300))))) % 1.41/1.62 (assume @p136 (forall @t69 (=> @t37 (= (tptp.hAPP @t39 @t117) (tptp.hAPP (tptp.hAPP @t14 @t66) @t40))))) % 1.41/1.62 (assume @p137 (forall @t64 (=> @t18 (= (tptp.hAPP (tptp.hAPP @t14 @t63) @t53) (tptp.hAPP @t11 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t22 @t20)))))) % 1.41/1.62 (assume @p138 (forall @t136 (=> @t123 (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t296)))) % 1.41/1.62 (assume @p139 (forall @t304 (=> @t303 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t302 @t134))))) % 1.41/1.62 (assume @p140 (forall @t233 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t307) (or (not @t145) (not @t305)))))) % 1.41/1.62 (assume @p141 (forall @t310 (=> (= @t65 @t68) (or (= @t7 @t70) @t309)))) % 1.41/1.62 (assume @p142 (forall @t99 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t95) (= (= @t306 @t96) (or @t98 (= @t97 @t311)))))) % 1.41/1.62 (assume @p143 (forall @t233 (=> @t147 (= @t312 (= @t228 @t231))))) % 1.41/1.62 (assume @p144 (forall @t58 (=> @t123 (tptp.c_Orderings_Oord__class_Oless @t9 @t13 @t297)))) % 1.41/1.62 (assume @p145 (forall (@list @t7 @t65 @t9) (=> @t123 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t65) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t7) (tptp.c_Orderings_Oord__class_Oless @t9 @t34 (tptp.hAPP @t313 @t7))))))) % 1.41/1.62 (assume @p146 (forall @t148 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t107 @t146) @t149)))) % 1.41/1.62 (assume @p147 (forall @t136 (=> @t123 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t134))))) % 1.41/1.62 (assume @p148 (forall @t136 (=> @t123 (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t34)))) % 1.41/1.62 (assume @p149 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t132)))) % 1.41/1.62 (assume @p150 (forall @t136 (=> @t140 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t257) @t257)))) % 1.41/1.62 (assume @p151 (forall @t316 (=> @t143 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t257 @t20) @t20)))) % 1.41/1.62 (assume @p152 (forall @t317 (=> @t143 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t22 @t257) @t22)))) % 1.41/1.62 (assume @p153 (forall (@list @t318 @t109 @t299) (=> (=> @t322 @t320) (=> (=> @t300 @t320) (=> (=> @t321 @t320) @t320))))) % 1.41/1.62 (assume @p154 (forall (@list @t323 @t324) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t324 @t323) (not (= @t324 @t323))))) % 1.41/1.62 (assume @p155 (forall @t328 (=> @t327 @t326))) % 1.41/1.62 (assume @p156 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t7)))) % 1.41/1.62 (assume @p157 (forall @t332 (=> @t331 (=> (not @t329) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t51 @t8))))) % 1.41/1.62 (assume @p158 (forall @t334 (= @t333 (or @t322 @t321)))) % 1.41/1.62 (assume @p159 (forall (@list @t240 @t20 @t22 @t9) (=> @t30 (= (tptp.hAPP (tptp.hAPP @t26 @t249) @t240) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t27 @t240) (tptp.hAPP @t335 @t240)))))) % 1.41/1.62 (assume @p160 (forall @t337 (=> @t105 (= (= @t103 (tptp.c_Polynomial_Opoly @t95 @t259)) @t336)))) % 1.41/1.62 (assume @p161 (forall @t131 (=> @t130 (=> @t129 (=> @t128 (tptp.c_Polynomial_Opos__poly @t9 @t249)))))) % 1.41/1.62 (assume @p162 (forall @t317 (=> @t30 (= (tptp.hAPP @t27 @t257) @t257)))) % 1.41/1.62 (assume @p163 (forall @t316 (=> @t30 (= (tptp.hAPP (tptp.hAPP @t26 @t257) @t20) @t257)))) % 1.41/1.62 (assume @p164 (forall @t317 (=> @t130 (or @t338 @t129 (tptp.c_Polynomial_Opos__poly @t9 @t247))))) % 1.41/1.62 (assume @p165 (forall @t136 (=> @t130 (not (tptp.c_Polynomial_Opos__poly @t9 @t257))))) % 1.41/1.62 (assume @p166 (forall @t316 (=> @t30 (= (tptp.c_Polynomial_Opcompose @t9 @t257 @t20) @t257)))) % 1.41/1.62 (assume @p167 (forall @t304 (=> @t130 @t342))) % 1.41/1.62 (assume @p168 (forall @t344 (= @t243 @t343))) % 1.41/1.62 (assume @p169 (forall @t310 (=> @t202 @t270))) % 1.41/1.62 (assume @p170 (forall @t315 (=> @t270 @t256))) % 1.41/1.62 (assume @p171 (forall (@list @t345 @t203) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t346 @t203)))) % 1.41/1.62 (assume @p172 (forall (@list @t203 @t345) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t347 @t203)))) % 1.41/1.62 (assume @p173 (forall @t310 (= @t117 @t348))) % 1.41/1.62 (assume @p174 (forall @t350 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t8 @t349) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t8 @t272))))) % 1.41/1.62 (assume @p175 (forall @t353 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t117 @t351) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t352)))) % 1.41/1.62 (assume @p176 (forall @t357 (= (= @t356 @t355) @t300))) % 1.41/1.62 (assume @p177 (forall @t359 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t299 @t354) @t358) @t300))) % 1.41/1.62 (assume @p178 (forall @t357 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t356 @t355) @t322))) % 1.41/1.62 (assume @p179 (forall @t362 (=> @t361 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 @t360)))) % 1.41/1.62 (assume @p180 (forall @t362 (=> @t361 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 @t363)))) % 1.41/1.62 (assume @p181 (forall @t366 (=> @t361 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t364)))) % 1.41/1.62 (assume @p182 (forall @t370 (=> @t361 (=> @t369 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t368))))) % 1.41/1.62 (assume @p183 (forall (@list @t7 @t65 @t367 @t351) (=> @t369 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t367) @t371) @t202)))) % 1.41/1.62 (assume @p184 (forall @t366 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t346 @t351) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 @t351)))) % 1.41/1.62 (assume @p185 (forall @t353 (= (tptp.hAPP (tptp.hAPP @t61 @t68) @t351) (tptp.hAPP @t67 @t373)))) % 1.41/1.62 (assume @p186 (forall @t310 (= @t68 @t374))) % 1.41/1.62 (assume @p187 (forall @t93 (=> @t377 (=> @t376 (or @t293 @t375))))) % 1.41/1.62 (assume @p188 (forall @t93 (=> @t377 (=> @t294 (=> @t378 (not @t376)))))) % 1.41/1.62 (assume @p189 (forall @t166 (=> (tptp.class_Rings_Oring__no__zero__divisors @t95) (= (= @t379 @t144) (or @t154 (= @t106 @t144)))))) % 1.41/1.62 (assume @p190 (forall @t58 (=> @t380 @t292))) % 1.41/1.62 (assume @p191 (forall @t58 (=> @t380 @t291))) % 1.41/1.62 (assume @p192 (forall @t136 (=> @t381 (not (= @t134 @t34))))) % 1.41/1.62 (assume @p193 (forall @t136 (=> @t381 (not (= @t34 @t134))))) % 1.41/1.62 (assume @p194 (forall (@list @t85 @t45 @t382 @t13 @t9) (=> (tptp.class_Rings_Osemiring @t9) (= (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t15 @t382) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t86 @t382) @t85)) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t283 @t382) @t85))))) % 1.41/1.62 (assume @p195 (forall @t88 (=> (tptp.class_Rings_Ocomm__semiring @t9) @t284))) % 1.41/1.62 (assume @p196 (forall @t166 (=> @t104 (= (= (tptp.hAPP @t277 @t107) (tptp.hAPP @t274 @t106)) (or @t108 @t165))))) % 1.41/1.62 (assume @p197 (forall @t93 (=> @t384 (= (tptp.hAPP @t383 @t137) @t48)))) % 1.41/1.62 (assume @p198 (forall @t93 (=> @t384 (= @t386 @t385)))) % 1.41/1.62 (assume @p199 (forall @t93 (=> @t384 (= @t387 @t386)))) % 1.41/1.62 (assume @p200 (forall @t93 (=> @t384 (= @t387 @t385)))) % 1.41/1.62 (assume @p201 (forall @t315 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t132 @t7) @t7))) % 1.41/1.63 (assume @p202 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t389) (or @t388 @t343)))) % 1.41/1.63 (assume @p203 (forall @t390 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t132) @t65))) % 1.41/1.63 (assume @p204 (forall @t334 (= (= @t389 @t132) (and @t391 @t155)))) % 1.41/1.63 (assume @p205 (forall @t310 (=> (= @t117 @t65) @t269))) % 1.41/1.63 (assume @p206 (forall @t366 (=> @t361 (=> @t395 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t394 @t393))))) % 1.41/1.63 (assume @p207 (forall @t366 (=> @t361 (=> @t395 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t399 @t397))))) % 1.41/1.63 (assume @p208 (forall @t359 (= (= @t405 @t403) @t401))) % 1.41/1.63 (assume @p209 (forall @t357 (= @t409 @t401))) % 1.41/1.63 (assume @p210 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t405 @t403) @t411))) % 1.41/1.63 (assume @p211 (forall @t357 (= @t412 @t411))) % 1.41/1.63 (assume @p212 (forall @t334 (= (= @t413 @t132) (or @t391 @t155)))) % 1.41/1.63 (assume @p213 (forall @t390 (= (tptp.hAPP @t67 @t132) @t132))) % 1.41/1.63 (assume @p214 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t413) (and @t388 @t343)))) % 1.41/1.63 (assume @p215 (forall @t315 (= (tptp.hAPP (tptp.hAPP @t61 @t132) @t7) @t132))) % 1.41/1.63 (assume @p216 (forall @t353 (= (tptp.hAPP (tptp.hAPP @t61 @t117) @t351) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t373)))) % 1.41/1.63 (assume @p217 (forall @t417 (= (tptp.hAPP @t392 @t117) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t416 @t415)))) % 1.41/1.63 (assume @p218 (forall @t334 (= (= @t413 @t70) @t420))) % 1.41/1.63 (assume @p219 (forall @t315 (= (tptp.hAPP @t372 @t70) @t7))) % 1.41/1.63 (assume @p220 (forall @t334 (= (= @t70 @t413) @t420))) % 1.41/1.63 (assume @p221 (forall @t315 (= (tptp.hAPP (tptp.hAPP @t61 @t70) @t7) @t7))) % 1.41/1.63 (assume @p222 (forall @t224 (=> @t427 (=> @t426 (=> @t425 @t424))))) % 1.41/1.63 (assume @p223 (forall @t224 (=> @t427 (=> @t426 (=> @t425 @t428))))) % 1.41/1.63 (assume @p224 (forall @t88 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t9) @t430))) % 1.41/1.63 (assume @p225 (forall @t88 (=> @t431 @t430))) % 1.41/1.63 (assume @p226 (forall @t88 (=> @t431 (=> @t213 (=> @t429 @t428))))) % 1.41/1.63 (assume @p227 (forall @t93 (=> @t427 (=> @t211 (=> @t209 @t432))))) % 1.41/1.63 (assume @p228 (forall @t93 (=> @t431 (=> @t211 (=> @t198 @t433))))) % 1.41/1.63 (assume @p229 (forall @t191 (=> @t308 (=> @t439 (= @t438 @t434))))) % 1.41/1.63 (assume @p230 (forall @t441 (=> @t431 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t134 @t91) @t440)))) % 1.41/1.63 (assume @p231 (forall @t93 (=> @t431 (=> @t432 @t440)))) % 1.41/1.63 (assume @p232 (forall @t93 (=> @t431 (=> @t200 (=> @t209 (tptp.c_Orderings_Oord__class_Oless @t9 @t91 @t134)))))) % 1.41/1.63 (assume @p233 (forall @t93 (=> @t431 (=> @t200 (=> @t209 @t433))))) % 1.41/1.63 (assume @p234 (forall @t93 (=> @t431 (=> @t200 (=> @t198 @t432))))) % 1.41/1.63 (assume @p235 (forall @t191 (=> @t308 (=> @t442 (= @t438 @t176))))) % 1.41/1.63 (assume @p236 (forall @t191 (=> @t308 (= @t438 @t443)))) % 1.41/1.63 (assume @p237 (forall @t189 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t279 @t275) @t443)))) % 1.41/1.63 (assume @p238 (forall @t58 (=> @t303 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t121 @t134))))) % 1.41/1.63 (assume @p239 (forall @t88 (=> @t123 (=> @t200 @t446)))) % 1.41/1.63 (assume @p240 (forall @t233 (=> @t308 (= (= @t307 @t144) @t447)))) % 1.41/1.63 (assume @p241 (forall @t160 (= @t159 (or @t155 @t156)))) % 1.41/1.63 (assume @p242 (forall @t357 (=> @t410 (= @t412 @t322)))) % 1.41/1.63 (assume @p243 (forall @t357 (=> @t410 (= @t409 @t300)))) % 1.41/1.63 (assume @p244 (forall @t148 (=> @t314 @t177))) % 1.41/1.63 (assume @p245 (forall (@list @t107 @t101 @t95) (=> @t104 (= (= (tptp.hAPP @t103 @t107) @t144) (or @t336 (not (= (tptp.c_Polynomial_Oorder @t95 @t107 @t101) @t132))))))) % 1.41/1.63 (assume @p246 (forall (@list @t351 @t345 @t448 @t203) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t450 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t449 @t351)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 @t346) @t448) @t351)))) % 1.41/1.63 (assume @p247 (forall @t337 (=> @t111 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t95 @t101) @t132) @t336)))) % 1.41/1.63 (assume @p248 (forall @t350 (=> @t329 @t451))) % 1.41/1.63 (assume @p249 (forall @t350 (= (tptp.hAPP @t453 @t349) (tptp.hAPP (tptp.hAPP @t455 @t454) (tptp.hAPP @t453 @t272))))) % 1.41/1.63 (assume @p250 (forall @t350 (= (tptp.hAPP (tptp.hAPP @t452 @t454) @t272) (tptp.hAPP @t453 (tptp.hAPP (tptp.hAPP @t61 @t51) @t272))))) % 1.41/1.63 (assume @p251 (forall @t148 (=> @t153 (= (= @t152 @t144) @t154)))) % 1.41/1.63 (assume @p252 (forall @t357 (= @t409 (or @t400 @t300)))) % 1.41/1.63 (assume @p253 (forall @t456 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t272) @t451))) % 1.41/1.63 (assume @p254 (forall @t93 (=> @t457 (= @t385 @t387)))) % 1.41/1.63 (assume @p255 (forall (@list @t8 @t458 @t9) (=> @t457 (= (tptp.hAPP @t459 @t238) (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t460))))) % 1.41/1.63 (assume @p256 (forall @t93 (=> @t457 (= @t386 @t387)))) % 1.41/1.63 (assume @p257 (forall @t304 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t14 @t238) @t51) (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t56))))) % 1.41/1.63 (assume @p258 (forall @t463 (=> @t457 (= (tptp.hAPP @t15 (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 @t461)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t48 @t462))))) % 1.41/1.63 (assume @p259 (forall @t466 (=> @t457 (= (tptp.hAPP @t459 @t465) (tptp.c_Groups_Oplus__class_Oplus @t9 @t460 @t464))))) % 1.41/1.63 (assume @p260 (forall @t470 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 @t467)) @t45) (tptp.c_Groups_Oplus__class_Oplus @t9 @t48 @t469))))) % 1.41/1.63 (assume @p261 (forall @t478 (= (tptp.hAPP @t473 @t477) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t476 @t474)))) % 1.41/1.63 (assume @p262 (forall @t482 (= (tptp.hAPP (tptp.hAPP @t455 @t481) @t472) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t480)))) % 1.41/1.63 (assume @p263 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t455 @t477) @t472) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t486 @t484)))) % 1.41/1.63 (assume @p264 (forall @t334 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t299) (= (= (tptp.hAPP (tptp.hAPP @t455 @t299) @t109) @t488) (and (= @t299 @t488) (= @t109 @t488)))))) % 1.41/1.63 (assume @p265 (forall @t366 (=> @t492 (=> @t491 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t490 @t203) (tptp.hAPP @t490 @t345)))))) % 1.41/1.63 (assume @p266 (forall @t494 (= (tptp.hAPP (tptp.hAPP @t455 (tptp.hAPP @t485 @t471)) @t493) (tptp.hAPP @t485 (tptp.hAPP @t483 @t493))))) % 1.41/1.63 (assume @p267 (forall @t482 (= @t480 (tptp.hAPP @t473 @t272)))) % 1.41/1.63 (assume @p268 (forall @t495 (= (tptp.hAPP @t479 @t488) @t272))) % 1.41/1.63 (assume @p269 (forall @t495 (= (tptp.hAPP (tptp.hAPP @t455 @t488) @t272) @t272))) % 1.41/1.63 (assume @p270 (forall @t36 (=> @t457 (= (tptp.hAPP @t55 @t134) @t134)))) % 1.41/1.63 (assume @p271 (forall @t58 (=> @t457 @t292))) % 1.41/1.63 (assume @p272 (forall (@list @t51 @t9) (=> @t457 (= (tptp.hAPP @t290 @t51) @t134)))) % 1.41/1.63 (assume @p273 (forall (@list @t45 @t9) (=> @t457 (= (tptp.hAPP @t290 @t45) @t134)))) % 1.41/1.63 (assume @p274 (forall @t499 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t14 @t465) @t496) (tptp.c_Groups_Oplus__class_Oplus @t9 @t498 @t497))))) % 1.41/1.63 (assume @p275 (forall @t50 (=> @t123 (=> @t213 (=> @t501 (=> @t256 @t500)))))) % 1.41/1.63 (assume @p276 (forall @t503 (=> @t37 (=> @t256 (= (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t11 @t502)) @t8) @t12))))) % 1.41/1.63 (assume @p277 (forall @t509 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t9) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t13) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t51 @t13) (=> @t508 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless @t9 @t505 @t13))))))))) % 1.41/1.63 (assume @p278 (forall @t58 (=> @t130 (=> @t211 (= @t510 @t125))))) % 1.41/1.63 (assume @p279 (forall @t148 (=> @t314 (= (= @t511 @t311) @t149)))) % 1.41/1.63 (assume @p280 (forall @t36 (=> @t515 (and (=> @t514 (= @t512 @t134)) (=> (not @t514) (and (=> @t513 (= @t512 @t34)) (=> (not @t513) (= @t512 @t125)))))))) % 1.41/1.63 (assume @p281 (forall (@list @t20 @t22 @t13 @t9) (=> @t30 (= (tptp.c_Polynomial_Opcompose @t9 @t517 @t20) (tptp.c_Groups_Oplus__class_Oplus @t25 @t516 (tptp.hAPP @t335 @t124)))))) % 1.41/1.63 (assume @p282 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t7))) % 1.41/1.63 (assume @p283 (forall @t357 (=> @t521 (=> @t520 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t519 @t518) @t322))))) % 1.41/1.63 (assume @p284 (forall @t522 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t45) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t85 @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t13 @t85) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t85)))))) % 1.41/1.63 (assume @p285 (forall @t527 (=> @t526 (= @t525 @t524)))) % 1.41/1.63 (assume @p286 (forall @t527 (=> @t526 (= @t524 @t525)))) % 1.41/1.63 (assume @p287 (forall @t527 (=> @t526 (= @t529 @t528)))) % 1.41/1.63 (assume @p288 (forall @t534 (=> @t533 (= (= @t532 @t354) (= @t531 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t354 @t530)))))) % 1.41/1.63 (assume @p289 (forall @t328 (=> @t536 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t535 @t7) @t65)))) % 1.41/1.63 (assume @p290 (forall (@list @t530 @t531 @t354) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t354 @t531) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530 @t538) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537 @t531))))) % 1.41/1.63 (assume @p291 (forall @t527 (=> @t526 (= @t528 @t529)))) % 1.41/1.63 (assume @p292 (forall @t328 (=> @t536 @t539))) % 1.41/1.63 (assume @p293 (forall @t310 (=> @t541 @t540))) % 1.41/1.63 (assume @p294 (forall (@list @t65 @t7 @t351) (=> @t542 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t348 @t351))))) % 1.41/1.63 (assume @p295 (forall (@list @t530 @t354 @t531) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t538 @t530) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t531 @t537)))) % 1.41/1.63 (assume @p296 (forall @t334 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t299 @t109) @t132) @t543))) % 1.41/1.63 (assume @p297 (forall @t527 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t523) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t365 @t345))))) % 1.41/1.63 (assume @p298 (forall @t58 (=> @t130 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t510) @t510)))) % 1.41/1.63 (assume @p299 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t65))) % 1.41/1.63 (assume @p300 (forall @t366 (= @t545 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t351) @t345)))) % 1.41/1.63 (assume @p301 (forall @t548 (=> @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t547 @t546)))) % 1.41/1.63 (assume @p302 (forall @t548 (=> @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t367) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t367))))) % 1.41/1.63 (assume @p303 (forall @t549 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t203 @t7) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t203)) @t203)))) % 1.41/1.63 (assume @p304 (forall @t357 (=> @t521 (=> @t520 (= (= @t519 @t518) @t300))))) % 1.41/1.63 (assume @p305 (forall @t417 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t65) (=> @t542 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t351) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t351)) @t535))))) % 1.41/1.63 (assume @p306 (forall @t357 (=> @t521 (=> @t520 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t519 @t518) @t543))))) % 1.41/1.63 (assume @p307 (forall @t166 (=> @t150 (= @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t550 @t144))))) % 1.41/1.63 (assume @p308 (forall @t31 (=> @t248 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t552) @t8) (tptp.c_Groups_Ominus__class_Ominus @t9 @t24 @t21))))) % 1.41/1.63 (assume @p309 (forall @t250 (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t16 @t118) (tptp.c_Polynomial_Omonom @t9 @t553 @t7))))) % 1.41/1.63 (assume @p310 (forall (@list @t100 @t106 @t101 @t107 @t95) (=> @t111 (= (= @t554 (tptp.c_Polynomial_OpCons @t95 @t106 @t100)) (and @t108 @t102))))) % 1.41/1.63 (assume @p311 (forall @t556 (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t517 @t555) (tptp.c_Polynomial_OpCons @t9 @t553 @t552))))) % 1.41/1.63 (assume @p312 (forall @t281 (=> @t558 (=> @t557 (= @t108 @t280))))) % 1.41/1.63 (assume @p313 (forall @t281 (=> @t150 (=> @t557 (= @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t181 @t276)))))) % 1.41/1.63 (assume @p314 (forall (@list @t97 @t559 @t234 @t236 @t95) (=> (tptp.class_Groups_Ominus @t95) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t237 @t234 @t559) @t97) (tptp.c_Groups_Ominus__class_Ominus @t95 @t235 (tptp.hAPP @t559 @t97)))))) % 1.41/1.63 (assume @p315 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t489) @t489)) % 1.41/1.63 (assume @p316 (forall @t495 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t481) @t272))) % 1.41/1.63 (assume @p317 (forall @t482 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t561) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t481 @t560)))) % 1.41/1.63 (assume @p318 (forall @t495 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t489 @t272) @t272))) % 1.41/1.63 (assume @p319 (forall @t495 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t272 @t489) @t272))) % 1.41/1.63 (assume @p320 (forall @t482 (= @t561 @t562))) % 1.41/1.63 (assume @p321 (forall (@list @t287 @t286) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t286 @t287) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t286 @t287) (not (= @t286 @t287)))))) % 1.41/1.63 (assume @p322 (forall @t332 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t8 @t51) @t330 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t8)))) % 1.41/1.63 (assume @p323 (forall @t350 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 @t272)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t272))))) % 1.41/1.63 (assume @p324 (forall @t495 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t481 @t272) @t489))) % 1.41/1.63 (assume @p325 (forall @t494 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t477 @t493) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t471 @t493))))) % 1.41/1.63 (assume @p326 (forall @t366 (=> @t492 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t203 @t351) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t345 @t351))))) % 1.41/1.63 (assume @p327 (forall @t366 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t351 @t203) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t351 @t345))))) % 1.41/1.63 (assume @p328 (forall (@list @t272 @t564 @t472 @t565) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t565 @t472) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t564 @t272) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t565 @t564) @t562))))) % 1.41/1.63 (assume @p329 (forall (@list @t272 @t472) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t472 @t272) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t472 @t488) @t272)))) % 1.41/1.63 (assume @p330 (forall @t495 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t272) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t566)))) % 1.41/1.63 (assume @p331 (forall @t567 (= (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 @t488 @t286) @t286) @t489) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t286 @t489)))) % 1.41/1.63 (assume @p332 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t287 @t488) @t286) @t568))) % 1.41/1.63 (assume @p333 (forall @t569 (= @t570 (or @t568 (= @t287 @t286))))) % 1.41/1.63 (assume @p334 (forall @t569 (= @t570 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t287 @t286)))) % 1.41/1.63 (assume @p335 (forall @t567 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t488 @t286) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t286)))) % 1.41/1.63 (assume @p336 (forall (@list @t203) (and (=> @t573 (= @t571 @t489)) (=> (not @t573) (and (=> @t572 (= @t571 @t488)) (=> (not @t572) (= @t571 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t488)))))))) % 1.41/1.63 (assume @p337 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t488)) % 1.41/1.63 (assume @p338 (forall @t495 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t566 @t272) @t489)))) % 1.41/1.63 (assume @p339 (not (= @t489 @t488))) % 1.41/1.63 (assume @p340 (forall @t580 (=> @t579 (= @t578 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t181 @t575))))) % 1.41/1.63 (assume @p341 (forall @t580 (=> @t579 (= @t578 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t581 @t276))))) % 1.41/1.63 (assume @p342 (forall @t255 (=> @t123 (=> @t583 (=> @t582 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t40 @t252)))))) % 1.41/1.63 (assume @p343 (forall @t589 (=> @t533 (= @t588 (= @t299 @t585))))) % 1.41/1.63 (assume @p344 (forall (@list @t7 @t65 @t448 @t345 @t203) (=> @t591 (= @t590 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t345 @t203)) @t448) @t7)))))) % 1.41/1.63 (assume @p345 (forall @t589 (=> @t533 (= @t592 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t299 @t585))))) % 1.41/1.63 (assume @p346 (forall @t595 (=> @t594 (= @t588 (= @t593 @t109))))) % 1.41/1.63 (assume @p347 (forall (@list @t7 @t65 @t448 @t203 @t345) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t345 @t203) (= @t590 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t61 @t544) @t448) @t65) @t7))))) % 1.41/1.63 (assume @p348 (forall @t595 (=> @t594 (= @t592 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t593 @t109))))) % 1.41/1.63 (assume @p349 (forall @t58 (=> @t135 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t134) @t13)))) % 1.41/1.63 (assume @p350 (forall @t58 (=> @t135 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t13) @t134)))) % 1.41/1.63 (assume @p351 (forall @t166 (=> @t558 (= @t108 @t596)))) % 1.41/1.63 (assume @p352 (forall @t166 (=> @t147 (= @t596 @t108)))) % 1.41/1.63 (assume @p353 (forall @t281 (=> @t150 (=> @t557 (= @t176 (tptp.c_Orderings_Oord__class_Oless @t95 @t181 @t276)))))) % 1.41/1.63 (assume @p354 (forall @t499 (=> @t457 (= (tptp.hAPP @t598 @t496) (tptp.c_Groups_Ominus__class_Ominus @t9 @t498 @t497))))) % 1.41/1.63 (assume @p355 (forall @t470 (=> @t457 (= (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t467)) @t45) (tptp.c_Groups_Ominus__class_Ominus @t9 @t48 @t469))))) % 1.41/1.63 (assume @p356 (forall @t466 (=> @t457 (= (tptp.hAPP @t459 @t597) (tptp.c_Groups_Ominus__class_Ominus @t9 @t460 @t464))))) % 1.41/1.63 (assume @p357 (forall @t463 (=> @t457 (= (tptp.hAPP @t15 (tptp.c_Groups_Ominus__class_Ominus @t9 @t45 @t461)) (tptp.c_Groups_Ominus__class_Ominus @t9 @t48 @t462))))) % 1.41/1.63 (assume @p358 (forall @t93 (=> @t135 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t553 @t45) @t13)))) % 1.41/1.63 (assume @p359 (forall @t93 (=> @t135 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t138 @t45) @t13)))) % 1.41/1.63 (assume @p360 (forall @t93 (=> @t140 (= @t599 (tptp.c_Groups_Ominus__class_Ominus @t9 @t45 @t13))))) % 1.41/1.63 (assume @p361 (forall @t310 (=> @t540 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t65) @t132) @t325)))) % 1.41/1.63 (assume @p362 (forall @t390 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t65) @t132))) % 1.41/1.63 (assume @p363 (forall @t390 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t132) @t65))) % 1.41/1.63 (assume @p364 (forall @t315 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t132 @t7) @t132))) % 1.41/1.63 (assume @p365 (forall @t189 (=> @t188 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t183 @t187) @t551)))) % 1.41/1.63 (assume @p366 (forall @t191 (=> @t188 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t186 @t190) @t551)))) % 1.41/1.63 (assume @p367 (forall @t88 (=> @t602 (=> @t601 @t600)))) % 1.41/1.63 (assume @p368 (forall @t88 (=> @t602 (=> @t601 @t603)))) % 1.41/1.63 (assume @p369 (forall @t193 (=> @t602 (=> @t601 (=> @t604 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t163 @t192)))))) % 1.41/1.63 (assume @p370 (forall @t226 (=> @t225 (=> @t600 @t601)))) % 1.41/1.63 (assume @p371 (forall @t227 (=> @t225 (=> @t603 @t601)))) % 1.41/1.63 (assume @p372 (forall (@list @t7 @t351 @t345) (=> @t605 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t345 @t7) @t351)))) % 1.41/1.63 (assume @p373 (forall @t548 (=> @t202 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t367) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t546))))) % 1.41/1.63 (assume @p374 (forall @t607 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t606 @t352) @t535))) % 1.41/1.63 (assume @p375 (forall @t417 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t608 @t371) @t535))) % 1.41/1.63 (assume @p376 (forall @t366 (= @t545 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t364)))) % 1.41/1.63 (assume @p377 (forall @t328 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t348 @t7) @t65))) % 1.41/1.63 (assume @p378 (forall @t310 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t117 @t7) @t65))) % 1.41/1.63 (assume @p379 (forall @t166 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t107 @t164) (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t106 @t146))))) % 1.41/1.63 (assume @p380 (forall @t166 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t146 @t106) (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t164 @t107))))) % 1.41/1.63 (assume @p381 (forall @t170 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t164 @t146) @t551)))) % 1.41/1.63 (assume @p382 (forall @t93 (=> (tptp.class_Groups_Oordered__ab__group__add @t9) (=> @t601 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t137 @t126))))) % 1.41/1.63 (assume @p383 (forall @t304 (=> @t239 (=> @t610 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t609 @t238))))) % 1.41/1.63 (assume @p384 (forall @t233 (=> @t232 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t231 @t230) @t611)))) % 1.41/1.63 (assume @p385 (forall @t417 (= (tptp.hAPP @t392 @t535) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t416 @t415)))) % 1.41/1.63 (assume @p386 (forall @t353 (= (tptp.hAPP (tptp.hAPP @t61 @t535) @t351) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t414 @t373)))) % 1.41/1.63 (assume @p387 (forall @t344 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t109 @t132) @t155))) % 1.41/1.63 (assume @p388 (forall @t332 (=> @t329 @t612))) % 1.41/1.63 (assume @p389 (forall @t334 (= @t322 (and @t543 @t333)))) % 1.41/1.63 (assume @p390 (forall @t334 (= @t543 @t613))) % 1.41/1.63 (assume @p391 (forall @t310 (=> @t202 @t541))) % 1.41/1.63 (assume @p392 (forall @t310 (=> @t541 (=> @t326 @t202)))) % 1.41/1.63 (assume @p393 (forall @t310 (=> (or @t202 @t325) @t541))) % 1.41/1.63 (assume @p394 (forall @t350 (=> @t612 @t614))) % 1.41/1.63 (assume @p395 (forall @t456 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t272) @t614))) % 1.41/1.63 (assume @p396 (forall @t607 (=> @t615 (not (=> @t541 (not @t542)))))) % 1.41/1.63 (assume @p397 (forall @t607 (=> @t615 @t541))) % 1.41/1.63 (assume @p398 (forall @t607 (=> @t615 @t542))) % 1.41/1.63 (assume @p399 (forall @t370 (=> @t591 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t365 @t368))))) % 1.41/1.63 (assume @p400 (forall @t366 (=> @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t365 @t364)))) % 1.41/1.63 (assume @p401 (forall @t362 (=> @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t203 @t363)))) % 1.41/1.63 (assume @p402 (forall @t362 (=> @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t203 @t360)))) % 1.41/1.63 (assume @p403 (forall @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t356 @t355) @t543))) % 1.41/1.63 (assume @p404 (forall @t334 (= @t543 (exists @t619 (= @t109 @t618))))) % 1.41/1.63 (assume @p405 (forall @t328 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t348))) % 1.41/1.63 (assume @p406 (forall @t328 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t117))) % 1.41/1.63 (assume @p407 (forall @t390 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t620))) % 1.41/1.63 (assume @p408 (forall @t390 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 (tptp.hAPP @t67 @t620)))) % 1.41/1.63 (assume @p409 (forall @t366 (=> @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t397)))) % 1.41/1.63 (assume @p410 (forall @t366 (=> @t591 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t394 @t393)))) % 1.41/1.63 (assume @p411 (forall @t370 (=> @t591 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 (tptp.hAPP @t396 @t367)))))) % 1.41/1.63 (assume @p412 (forall @t136 (=> @t515 @t621))) % 1.41/1.63 (assume @p413 (forall @t148 (=> @t314 (= (= @t511 @t144) @t154)))) % 1.41/1.63 (assume @p414 (forall @t136 (=> @t622 @t621))) % 1.41/1.63 (assume @p415 (forall @t99 (=> (tptp.class_RealVector_Oreal__normed__vector @t95) (= (= (tptp.c_Groups_Osgn__class_Osgn @t95 @t97) @t144) @t145)))) % 1.41/1.63 (assume @p416 (forall @t93 (=> @t130 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t48) (tptp.hAPP (tptp.hAPP @t14 @t510) (tptp.c_Groups_Osgn__class_Osgn @t9 @t45)))))) % 1.41/1.63 (assume @p417 (forall @t304 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t9) (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t56) (tptp.hAPP (tptp.hAPP @t14 @t512) (tptp.c_Groups_Osgn__class_Osgn @t9 @t51)))))) % 1.41/1.63 (assume @p418 (forall @t136 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t9) (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t34) @t34)))) % 1.41/1.63 (assume @p419 (forall @t36 (=> @t622 (= (tptp.c_Groups_Osgn__class_Osgn @t9 @t238) (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t512))))) % 1.41/1.63 (assume @p420 (forall @t255 (=> @t123 (=> @t583 (=> @t501 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t13 @t34) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t252 @t40))))))) % 1.41/1.63 (assume @p421 (forall @t266 (=> @t265 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t263 @t262) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t228)))))) % 1.41/1.63 (assume @p422 (forall @t69 (=> @t123 (=> @t122 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t66 @t40) @t541))))) % 1.41/1.63 (assume @p423 (forall @t589 (=> @t533 (= @t623 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 @t585))))) % 1.41/1.63 (assume @p424 (forall @t595 (=> @t594 (= @t623 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t593 @t109))))) % 1.41/1.63 (assume @p425 (forall @t166 (=> @t150 (= @t176 (tptp.c_Orderings_Oord__class_Oless @t95 @t550 @t144))))) % 1.41/1.63 (assume @p426 (forall @t136 (=> @t260 (= (tptp.c_Polynomial_OpCons @t9 @t134 @t257) @t257)))) % 1.41/1.63 (assume @p427 (forall @t624 (=> @t111 (= (= @t554 @t259) (and @t154 @t336))))) % 1.41/1.63 (assume @p428 (forall @t629 (=> @t384 (= @t628 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t55 @t627) @t626))))) % 1.41/1.63 (assume @p429 (forall @t580 (=> @t631 (= @t630 (= @t181 @t575))))) % 1.41/1.63 (assume @p430 (forall @t580 (=> @t631 (= @t630 (= @t581 @t276))))) % 1.41/1.63 (assume @p431 (forall @t629 (=> @t457 (= @t628 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t625 @t627) @t626) (tptp.hAPP @t15 @t627)))))) % 1.41/1.63 (assume @p432 (forall @t58 (=> @t135 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t134 @t13) @t126)))) % 1.41/1.63 (assume @p433 (forall @t93 (=> @t135 @t632))) % 1.41/1.63 (assume @p434 (forall @t93 (=> @t140 @t632))) % 1.41/1.63 (assume @p435 (forall @t304 (=> @t295 (= @t597 (tptp.c_Groups_Oplus__class_Oplus @t9 @t8 @t609))))) % 1.41/1.63 (assume @p436 (forall @t93 (=> @t135 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t137) @t138)))) % 1.41/1.63 (assume @p437 (forall @t58 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t121)))) % 1.41/1.63 (assume @p438 (forall @t166 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t379) (or (and @t636 @t635) (and @t634 @t633)))))) % 1.41/1.63 (assume @p439 (forall @t166 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t379 @t144) (or (and @t636 @t633) (and @t634 @t635)))))) % 1.41/1.63 (assume @p440 (forall @t93 (=> @t639 (=> @t501 (=> @t638 @t637))))) % 1.41/1.63 (assume @p441 (forall @t93 (=> @t639 (=> @t501 (=> @t641 @t640))))) % 1.41/1.63 (assume @p442 (forall @t93 (=> @t639 (=> @t501 (=> @t641 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t91 @t134)))))) % 1.41/1.63 (assume @p443 (forall @t93 (=> @t639 (=> @t642 (=> @t638 @t640))))) % 1.41/1.63 (assume @p444 (forall @t93 (=> @t643 (=> @t642 (=> @t641 @t637))))) % 1.41/1.63 (assume @p445 (forall @t88 (=> @t646 (=> @t601 (=> @t645 @t644))))) % 1.41/1.63 (assume @p446 (forall @t88 (=> @t646 @t648))) % 1.41/1.63 (assume @p447 (forall @t88 (=> (tptp.class_Rings_Oordered__comm__semiring @t9) @t648))) % 1.41/1.63 (assume @p448 (forall @t224 (=> @t643 (=> @t650 (=> @t649 @t644))))) % 1.41/1.63 (assume @p449 (forall @t224 (=> @t643 (=> @t650 (=> @t649 @t647))))) % 1.41/1.63 (assume @p450 (forall @t193 (=> @t646 (=> @t601 (=> @t604 (=> @t501 @t652)))))) % 1.41/1.63 (assume @p451 (forall @t193 (=> @t646 (=> @t601 (=> @t604 (=> @t638 @t652)))))) % 1.41/1.63 (assume @p452 (forall @t93 (=> @t643 (=> (or (and @t501 @t638) (and @t642 @t641)) @t637)))) % 1.41/1.63 (assume @p453 (forall @t93 (=> @t639 (=> (or (and @t501 @t641) (and @t642 @t638)) @t640)))) % 1.41/1.63 (assume @p454 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t152) @t636)))) % 1.41/1.63 (assume @p455 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t152 @t144) @t634)))) % 1.41/1.63 (assume @p456 (forall @t93 (=> @t201 (=> @t501 (=> @t638 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t138)))))) % 1.41/1.63 (assume @p457 (forall @t233 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t95) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t97) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t228) (= @t312 @t447)))))) % 1.41/1.63 (assume @p458 (forall @t88 (=> @t201 (=> @t501 (=> @t654 @t653))))) % 1.41/1.63 (assume @p459 (forall @t655 (=> @t201 (=> @t645 (=> @t650 @t653))))) % 1.41/1.63 (assume @p460 (forall @t93 (=> @t201 (=> @t642 (=> @t641 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t138 @t134)))))) % 1.41/1.63 (assume @p461 (forall @t193 (=> @t214 (=> @t213 (=> @t604 @t217))))) % 1.41/1.63 (assume @p462 (forall @t193 (=> @t214 (=> @t601 @t219)))) % 1.41/1.63 (assume @p463 (forall @t136 (=> @t123 (not (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t34 @t134))))) % 1.41/1.63 (assume @p464 (forall @t136 (=> @t123 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t34)))) % 1.41/1.63 (assume @p465 (forall @t556 (=> @t143 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t517 @t555) (tptp.c_Polynomial_OpCons @t9 @t138 @t249))))) % 1.41/1.63 (assume @p466 (forall @t148 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t144 @t146) @t634)))) % 1.41/1.63 (assume @p467 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t107 @t146) @t634)))) % 1.41/1.63 (assume @p468 (forall @t148 (=> @t150 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t146 @t144) @t636)))) % 1.41/1.63 (assume @p469 (forall @t148 (=> @t153 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t146 @t107) @t636)))) % 1.41/1.63 (assume @p470 (forall @t50 (=> @t123 (=> @t601 (=> @t501 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t40 @t47)))))) % 1.41/1.63 (assume @p471 (forall @t44 (=> @t123 (=> @t501 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t40))))) % 1.41/1.63 (assume @p472 (forall @t328 (=> @t256 (=> @t656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t535 @t65))))) % 1.41/1.63 (assume @p473 (forall @t657 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t109 @t299)) @t322))) % 1.41/1.63 (assume @p474 (forall @t328 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t348) @t132))) % 1.41/1.63 (assume @p475 (forall @t310 (=> @t658 @t539))) % 1.41/1.63 (assume @p476 (forall @t534 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t538) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t537 @t531)))) % 1.41/1.63 (assume @p477 (forall @t44 (=> @t123 (=> @t582 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t34 @t40))))) % 1.41/1.63 (assume @p478 (forall @t659 (=> @t140 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t517) (tptp.c_Polynomial_OpCons @t9 @t126 @t247))))) % 1.41/1.63 (assume @p479 (forall (@list @t22 @t13 @t95) (=> @t558 (= (tptp.c_Groups_Ouminus__class_Ouminus @t258 (tptp.c_Polynomial_OpCons @t95 @t13 @t22)) (tptp.c_Polynomial_OpCons @t95 (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t13) (tptp.c_Groups_Ouminus__class_Ouminus @t258 @t22)))))) % 1.41/1.63 (assume @p480 (forall @t148 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t511 @t144) @t149)))) % 1.41/1.63 (assume @p481 (forall @t148 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t95 @t144 @t511) @t151)))) % 1.41/1.63 (assume @p482 (forall @t580 (=> @t579 (= @t660 (tptp.c_Orderings_Oord__class_Oless @t95 @t181 @t575))))) % 1.41/1.63 (assume @p483 (forall @t580 (=> @t579 (= @t660 (tptp.c_Orderings_Oord__class_Oless @t95 @t581 @t276))))) % 1.41/1.63 (assume @p484 (forall @t36 (=> @t127 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t120 @t34) (tptp.hAPP (tptp.hAPP @t14 (tptp.c_Groups_Oplus__class_Oplus @t9 @t8 @t34)) (tptp.c_Groups_Ominus__class_Ominus @t9 @t8 @t34)))))) % 1.41/1.63 (assume @p485 (forall (@list @t8 @t22 @t13 @t9) (=> @t30 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t9 @t517) @t8) (tptp.c_Groups_Oplus__class_Oplus @t9 @t13 (tptp.hAPP @t55 @t24)))))) % 1.41/1.63 (assume @p486 (forall @t191 (=> @t308 (=> @t442 (= @t661 @t551))))) % 1.41/1.63 (assume @p487 (forall @t191 (=> @t308 (=> @t439 (= @t661 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t106 @t107)))))) % 1.41/1.63 (assume @p488 (forall @t193 (=> @t431 (=> @t213 (=> @t218 (=> @t198 @t663)))))) % 1.41/1.63 (assume @p489 (forall @t193 (=> @t431 (=> @t213 (=> @t218 (=> @t501 @t663)))))) % 1.41/1.63 (assume @p490 (forall @t193 (=> @t431 (=> @t213 (=> @t604 (=> @t501 (=> @t429 @t662))))))) % 1.41/1.63 (assume @p491 (forall @t193 (=> @t431 (=> @t601 (=> @t218 (=> @t200 @t663)))))) % 1.41/1.63 (assume @p492 (forall @t226 (=> @t666 @t665))) % 1.41/1.63 (assume @p493 (forall @t226 (=> @t431 @t665))) % 1.41/1.63 (assume @p494 (forall @t227 (=> @t666 @t667))) % 1.41/1.63 (assume @p495 (forall @t227 (=> @t431 @t667))) % 1.41/1.63 (assume @p496 (forall @t226 (=> @t431 (=> @t644 @t668)))) % 1.41/1.63 (assume @p497 (forall @t227 (=> @t431 (=> @t647 @t668)))) % 1.41/1.63 (assume @p498 (forall @t93 (=> @t201 (=> @t200 (=> @t638 @t197))))) % 1.41/1.63 (assume @p499 (forall @t93 (=> @t201 (=> @t501 @t199)))) % 1.41/1.63 (assume @p500 (forall @t88 (=> @t201 (=> @t200 (=> @t654 @t444))))) % 1.41/1.63 (assume @p501 (forall @t88 (=> @t201 (=> @t501 @t446)))) % 1.41/1.63 (assume @p502 (forall @t93 (=> @t201 (=> @t211 (=> @t641 @t208))))) % 1.41/1.63 (assume @p503 (forall @t93 (=> @t201 (=> @t642 @t210)))) % 1.41/1.63 (assume @p504 (forall @t304 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t302)))) % 1.41/1.63 (assume @p505 (forall @t233 (=> @t308 (= (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t307 @t144) @t447)))) % 1.41/1.63 (assume @p506 (forall @t304 (=> @t130 (=> @t671 (=> @t670 (=> @t669 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t56 @t8))))))) % 1.41/1.63 (assume @p507 (forall @t304 (=> @t130 (=> @t671 (=> @t670 (=> @t669 (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.hAPP @t301 @t8) @t8))))))) % 1.41/1.63 (assume @p508 (forall @t250 (=> @t123 (=> @t500 (=> @t638 @t213))))) % 1.41/1.63 (assume @p509 (forall @t679 (= @t678 (and (=> @t677 @t676) (forall @t675 (=> @t674 @t673)))))) % 1.41/1.63 (assume @p510 (forall @t679 (= @t678 (not (or (and @t677 @t680) (exists @t675 (and @t674 (not @t673)))))))) % 1.41/1.63 (assume @p511 (forall @t58 (=> @t260 (= (tptp.c_Polynomial_Omonom @t9 @t13 @t132) @t516)))) % 1.41/1.63 (assume @p512 (forall @t357 (=> @t410 (= @t681 @t543)))) % 1.41/1.63 (assume @p513 (forall @t357 (= @t681 @t682))) % 1.41/1.63 (assume @p514 (forall @t359 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t405 @t403) @t682))) % 1.41/1.63 (assume @p515 (forall @t136 (=> @t18 (= @t35 @t683)))) % 1.41/1.63 (assume @p516 (forall @t148 (=> @t314 (= (= @t511 @t96) @t151)))) % 1.41/1.63 (assume @p517 (forall @t58 (=> @t130 (=> @t200 (= @t510 @t34))))) % 1.41/1.63 (assume @p518 (forall @t509 (=> (tptp.class_Rings_Olinordered__semiring__1 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t51 @t13) (=> @t508 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t505 @t13))))))))) % 1.41/1.63 (assume @p519 (forall @t624 (=> @t314 (= (tptp.c_Polynomial_Opos__poly @t95 @t554) (or (tptp.c_Polynomial_Opos__poly @t95 @t101) (and @t336 @t151)))))) % 1.41/1.63 (assume @p520 (forall @t250 (=> @t123 (=> (= @t40 @t47) (=> @t501 (=> @t638 (=> @t256 @t242))))))) % 1.41/1.63 (assume @p521 (forall @t310 (and (=> @t309 (= @t68 @t132)) (=> @t685 (= @t68 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 (tptp.hAPP (tptp.hAPP @t61 @t684) @t7))))))) % 1.41/1.63 (assume @p522 (forall (@list @t22 @t65) (and (=> @t309 (= @t687 @t70)) (=> @t685 (= @t687 (tptp.hAPP @t62 (tptp.hAPP @t686 @t684))))))) % 1.41/1.63 (assume @p523 (forall @t36 (=> @t130 (and (=> @t690 (= @t688 @t257)) (=> (not @t690) (and (=> @t689 (= @t688 @t35)) (=> (not @t689) (= @t688 (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t35))))))))) % 1.41/1.63 (assume @p524 (forall (@list @t65 @t7 @t9) (=> @t133 (and (=> @t269 (= @t692 @t34)) (=> @t270 (= @t692 (tptp.hAPP @t313 (tptp.hAPP @t691 @t502)))))))) % 1.41/1.63 (assume @p525 (forall @t696 (=> @t695 (=> @t694 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t240 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t488 @t20)))))) % 1.41/1.63 (assume @p526 (forall @t696 (=> @t695 (=> @t694 (=> @t697 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t20 @t488)))))) % 1.41/1.63 (assume @p527 (forall @t710 (=> @t709 (=> @t706 (=> @t704 (=> @t703 (=> @t701 (=> @t700 @t699)))))))) % 1.41/1.63 (assume @p528 (forall @t715 (=> @t714 (=> @t713 (=> @t712 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t702) @t711)))))) % 1.41/1.63 (assume @p529 (forall @t710 (=> @t709 (=> @t717 (=> @t716 (=> @t697 (=> @t701 (=> @t700 @t711)))))))) % 1.41/1.63 (assume @p530 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t7))) % 1.41/1.63 (assume @p531 (forall @t310 (or @t541 @t536))) % 1.41/1.63 (assume @p532 (forall @t310 (=> @t325 @t541))) % 1.41/1.63 (assume @p533 (forall @t366 (=> @t591 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t345 @t351) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t203 @t351))))) % 1.41/1.63 (assume @p534 (forall @t310 (=> @t541 (=> @t536 @t325)))) % 1.41/1.63 (assume @p535 (forall (@list @t472) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t472 @t472))) % 1.41/1.63 (assume @p536 (forall @t482 (or @t719 @t718))) % 1.41/1.63 (assume @p537 (forall @t366 (=> @t563 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t345 @t351) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t203 @t351))))) % 1.41/1.63 (assume @p538 (forall @t482 (=> @t719 (=> @t718 (= @t272 @t472))))) % 1.41/1.63 (assume @p539 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t455 @t720) @t472) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t486 @t484)))) % 1.41/1.63 (assume @p540 (forall @t478 (= (tptp.hAPP @t473 @t720) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t476 @t474)))) % 1.41/1.63 (assume @p541 (forall @t317 (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t22 @t257) @t22)))) % 1.41/1.63 (assume @p542 (forall @t233 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t258 @t97 @t228) @t721)))) % 1.41/1.63 (assume @p543 (forall @t233 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t258 @t97 @t228) (or @t229 @t721))))) % 1.41/1.63 (assume @p544 (forall @t723 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t722) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t354 @t722) @t489)))) % 1.41/1.63 (assume @p545 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t287 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t286 @t488)) @t568))) % 1.41/1.63 (assume @p546 (forall @t482 (= @t725 @t724))) % 1.41/1.63 (assume @p547 (forall @t482 (= @t724 @t725))) % 1.41/1.63 (assume @p548 (forall @t316 (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t257 @t20) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t20))))) % 1.41/1.63 (assume @p549 (forall @t726 (=> @t717 (=> @t716 (=> @t701 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t698)))))) % 1.41/1.63 (assume @p550 (forall @t726 (=> @t706 (=> @t703 (=> @t701 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t698 @t489)))))) % 1.41/1.63 (assume @p551 (forall @t715 (=> @t714 (=> @t703 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t702 @t45) (=> @t704 @t699)))))) % 1.41/1.63 (assume @p552 (forall (@list @t22 @t85 @t9) (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Polynomial_OpCons @t9 (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t85) @t683)) @t728) (tptp.c_Polynomial_OpCons @t9 @t727 @t257)) @t22)))) % 1.41/1.63 (assume @p553 (forall (@list @t7 @t8) (=> @t729 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 (tptp.hAPP @t453 @t7))))) % 1.41/1.63 (assume @p554 (forall @t332 (=> @t729 (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 (tptp.hAPP (tptp.hAPP @t455 @t8) @t51)))))) % 1.41/1.63 (assume @p555 (forall @t332 (=> @t729 (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 @t51)))))) % 1.41/1.63 (assume @p556 (forall (@list @t85 @t9) (=> @t30 (= (tptp.c_Polynomial_Osynthetic__div @t9 @t257 @t85) @t257)))) % 1.41/1.63 (assume @p557 (forall (@list @t85 @t22 @t13 @t9) (=> @t30 (= (tptp.c_Polynomial_Osynthetic__div @t9 @t517 @t85) (tptp.c_Polynomial_OpCons @t9 @t727 @t728))))) % 1.41/1.63 (assume @p558 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t489)) % 1.41/1.63 (assume @p559 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t488)) % 1.41/1.63 (assume @p560 (forall @t36 (=> @t731 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t8)))) % 1.41/1.63 (assume @p561 (forall @t736 (and @t735 (=> (not @t733) (= @t732 @t489))))) % 1.41/1.63 (assume @p562 (forall @t723 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t354 @t722) (exists (@list @t737) (= @t722 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t354 @t737)))))) % 1.41/1.63 (assume @p563 (forall @t741 (=> @t740 (= @t739 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t236 @t5 @t4)))))) % 1.41/1.63 (assume @p564 (forall @t304 (=> @t743 (or @t610 @t742)))) % 1.41/1.63 (assume @p565 (forall @t233 (=> @t745 (= @t229 (and @t744 @t611))))) % 1.41/1.63 (assume @p566 (forall @t304 (=> @t731 (=> @t330 @t610)))) % 1.41/1.63 (assume @p567 (forall (@list @t97 @t1 @t2 @t95 @t236) (=> @t740 (=> @t739 (tptp.c_Orderings_Oord__class_Oless__eq @t236 (tptp.hAPP @t2 @t97) (tptp.hAPP @t1 @t97)))))) % 1.41/1.63 (assume @p568 (forall @t747 (=> @t745 (=> @t611 @t746)))) % 1.41/1.63 (assume @p569 (forall @t88 (=> @t749 (=> @t242 (=> @t654 @t748))))) % 1.41/1.63 (assume @p570 (forall @t88 (=> @t751 (=> @t242 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t85 @t45) @t750))))) % 1.41/1.63 (assume @p571 (forall @t88 (=> @t749 (=> @t601 (=> @t220 @t748))))) % 1.41/1.63 (assume @p572 (forall @t224 (=> @t751 (=> @t650 (=> @t220 @t750))))) % 1.41/1.63 (assume @p573 (forall @t304 (=> @t751 (=> @t610 (=> @t742 @t330))))) % 1.41/1.63 (assume @p574 (forall @t273 (=> @t731 (=> @t610 (=> @t752 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t8 @t272)))))) % 1.41/1.63 (assume @p575 (forall @t753 (=> @t751 (=> @t742 (=> @t610 @t330))))) % 1.41/1.63 (assume @p576 (forall @t755 (=> @t751 (=> @t742 (=> @t754 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t272 @t8)))))) % 1.41/1.63 (assume @p577 (forall @t304 (=> @t743 (=> (not @t610) @t742)))) % 1.41/1.63 (assume @p578 (forall @t36 (=> @t731 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t8 @t8))))) % 1.41/1.63 (assume @p579 (forall @t233 (=> @t759 (= @t758 (or @t757 @t756))))) % 1.41/1.63 (assume @p580 (forall @t233 (=> @t759 (= @t760 (or @t756 @t229))))) % 1.41/1.63 (assume @p581 (forall @t304 (=> @t743 (or @t340 @t330 @t339)))) % 1.41/1.63 (assume @p582 (forall @t747 (=> @t759 (=> (not @t756) @t761)))) % 1.41/1.63 (assume @p583 (forall @t304 (=> @t743 @t342))) % 1.41/1.63 (assume @p584 (forall @t304 (=> @t751 (=> @t340 @t331)))) % 1.41/1.63 (assume @p585 (forall @t304 (=> @t731 (=> @t340 (not @t339))))) % 1.41/1.63 (assume @p586 (forall @t304 (=> @t751 (=> @t340 @t762)))) % 1.41/1.63 (assume @p587 (forall @t93 (=> @t731 (=> @t213 (not @t426))))) % 1.41/1.63 (assume @p588 (forall @t441 (=> @t751 (=> @t426 (not @t213))))) % 1.41/1.63 (assume @p589 (forall @t88 (=> @t749 (=> @t242 (=> @t445 @t763))))) % 1.41/1.63 (assume @p590 (forall @t88 (=> @t751 (=> @t242 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t85 @t45) @t764))))) % 1.41/1.63 (assume @p591 (forall @t88 (=> @t749 (=> @t213 (=> @t220 @t763))))) % 1.41/1.63 (assume @p592 (forall @t224 (=> @t751 (=> @t426 (=> @t220 @t764))))) % 1.41/1.63 (assume @p593 (forall @t273 (=> @t731 (=> @t340 @t766)))) % 1.41/1.63 (assume @p594 (forall @t755 (=> @t751 (=> @t339 @t768)))) % 1.41/1.63 (assume @p595 (forall @t304 (=> @t743 (=> @t341 (=> @t331 @t339))))) % 1.41/1.63 (assume @p596 (forall @t332 (=> @t729 (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t732))))) % 1.41/1.63 (assume @p597 (forall @t736 @t735)) % 1.41/1.63 (assume @p598 (forall @t755 (=> @t751 (=> @t742 @t768)))) % 1.41/1.63 (assume @p599 (forall @t273 (=> @t731 (=> @t610 @t766)))) % 1.41/1.63 (assume @p600 (forall @t755 (=> @t751 (=> @t339 (=> @t754 @t767))))) % 1.41/1.63 (assume @p601 (forall @t273 (=> @t731 (=> @t340 (=> @t752 @t765))))) % 1.41/1.63 (assume @p602 (forall @t441 (=> @t751 (=> @t650 (=> @t769 @t426))))) % 1.41/1.63 (assume @p603 (forall @t93 (=> @t751 (=> @t601 (=> @t769 @t213))))) % 1.41/1.63 (assume @p604 (forall @t304 (=> @t751 (=> @t610 (or @t340 @t330))))) % 1.41/1.63 (assume @p605 (forall @t233 (=> @t759 (=> @t744 @t761)))) % 1.41/1.63 (assume @p606 (forall @t304 (=> @t731 (=> @t340 @t610)))) % 1.41/1.63 (assume @p607 (forall @t753 (=> @t743 (=> @t742 @t341)))) % 1.41/1.63 (assume @p608 (forall @t93 (=> @t751 (=> @t769 (=> @t650 @t426))))) % 1.41/1.63 (assume @p609 (forall @t93 (=> @t751 (=> @t769 (=> @t601 @t213))))) % 1.41/1.63 (assume @p610 (forall @t233 (=> @t759 (=> @t760 @t746)))) % 1.41/1.63 (assume @p611 (forall @t753 (=> @t743 (=> (not @t742) @t340)))) % 1.41/1.63 (assume @p612 (forall @t304 (=> @t743 (=> @t341 @t742)))) % 1.41/1.63 (assume @p613 (forall @t233 (=> @t745 (= @t744 (or @t757 @t229))))) % 1.41/1.63 (assume @p614 (forall @t233 (=> (tptp.class_Orderings_Opreorder @t95) (= @t757 (and @t744 (not @t611)))))) % 1.41/1.63 (assume @p615 (forall @t233 (=> @t745 (= @t757 (and @t744 @t758))))) % 1.41/1.63 (assume @p616 (forall @t304 (=> @t743 (or @t610 @t339)))) % 1.41/1.63 (assume @p617 (forall @t233 (=> @t759 (= (not @t744) @t756)))) % 1.41/1.63 (assume @p618 (forall @t233 (=> @t759 (= @t760 @t611)))) % 1.41/1.63 (assume @p619 (forall @t93 (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t126 @t137) @t599)))) % 1.41/1.63 (assume @p620 (forall (@list @t171 @t45 @t85 @t13 @t9) (=> @t140 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t163 @t192) (tptp.c_Groups_Oplus__class_Oplus @t9 @t553 (tptp.c_Groups_Ominus__class_Ominus @t9 @t85 @t171)))))) % 1.41/1.63 (assume @p621 (forall @t659 (=> @t773 @t772))) % 1.41/1.63 (assume @p622 (forall @t58 (=> @t18 (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t134)))) % 1.41/1.63 (assume @p623 (forall @t741 (=> @t740 (= (tptp.c_Orderings_Oord__class_Oless @t738 @t2 @t1) (and @t739 (not (tptp.c_Orderings_Oord__class_Oless__eq @t738 @t1 @t2))))))) % 1.41/1.63 (assume @p624 (forall @t58 (=> @t18 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t134 @t13) @t293)))) % 1.41/1.63 (assume @p625 (forall @t88 (=> @t18 (=> @t775 @t774)))) % 1.41/1.63 (assume @p626 (forall @t88 (=> @t18 (=> @t775 @t776)))) % 1.41/1.63 (assume @p627 (forall (@list @t351 @t45 @t13 @t9) (=> (tptp.class_Rings_Odvd @t9) (=> (= @t13 (tptp.hAPP @t86 @t351)) (tptp.c_Rings_Odvd__class_Odvd @t9 @t45 @t13))))) % 1.41/1.63 (assume @p628 (forall @t193 (=> @t18 (=> @t777 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t85 @t171) (tptp.c_Rings_Odvd__class_Odvd @t9 @t282 @t651)))))) % 1.41/1.63 (assume @p629 (forall @t226 (=> @t18 (=> @t776 @t778)))) % 1.41/1.63 (assume @p630 (forall @t88 (=> @t18 (=> @t777 @t778)))) % 1.41/1.63 (assume @p631 (forall @t93 (=> @t18 (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t91)))) % 1.41/1.63 (assume @p632 (forall @t93 (=> @t18 (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t48)))) % 1.41/1.63 (assume @p633 (forall @t88 (=> @t18 (=> @t777 (=> @t776 (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t178)))))) % 1.41/1.63 (assume @p634 (forall @t58 (=> @t18 (tptp.c_Rings_Odvd__class_Odvd @t9 @t34 @t13)))) % 1.41/1.63 (assume @p635 (forall @t233 (=> @t780 (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t97 @t230) @t779)))) % 1.41/1.63 (assume @p636 (forall @t233 (=> @t780 (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t231 @t228) @t779)))) % 1.41/1.63 (assume @p637 (forall (@list @t7 @t51 @t8 @t9) (=> @t18 (=> @t782 (tptp.c_Rings_Odvd__class_Odvd @t9 @t12 @t781))))) % 1.41/1.63 (assume @p638 (forall @t58 (=> @t18 (tptp.c_Rings_Odvd__class_Odvd @t9 @t13 @t13)))) % 1.41/1.63 (assume @p639 (forall @t88 (=> @t18 (=> @t777 (=> @t774 @t776))))) % 1.41/1.63 (assume @p640 (forall @t273 (=> @t295 (=> @t782 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t8 @t272) (tptp.c_Rings_Odvd__class_Odvd @t9 @t8 (tptp.c_Groups_Ominus__class_Ominus @t9 @t51 @t272))))))) % 1.41/1.63 (assume @p641 (forall @t189 (=> @t104 (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t279 @t275) @t785)))) % 1.41/1.63 (assume @p642 (forall @t191 (=> @t104 (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t437 @t436) @t785)))) % 1.41/1.63 (assume @p643 (forall (@list @t65 @t45 @t7 @t13 @t9) (=> @t18 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t40 @t45) (=> @t541 (tptp.c_Rings_Odvd__class_Odvd @t9 @t66 @t45)))))) % 1.41/1.63 (assume @p644 (forall (@list @t65 @t7 @t51 @t8 @t9) (=> @t18 (=> @t782 (=> @t536 (tptp.c_Rings_Odvd__class_Odvd @t9 @t12 (tptp.hAPP @t52 @t65))))))) % 1.41/1.63 (assume @p645 (forall (@list @t13 @t7 @t65 @t9) (=> @t18 (=> @t541 (tptp.c_Rings_Odvd__class_Odvd @t9 @t66 @t40))))) % 1.41/1.63 (assume @p646 (forall @t503 (=> @t18 (=> (or @t256 (= @t8 @t34)) (tptp.c_Rings_Odvd__class_Odvd @t9 @t8 @t12))))) % 1.41/1.63 (assume @p647 (forall (@list @t101 @t181 @t95) (=> @t104 (= (tptp.c_Rings_Odvd__class_Odvd @t258 (tptp.c_Polynomial_OpCons @t95 @t181 @t787) @t101) (= (tptp.hAPP @t103 @t786) @t144))))) % 1.41/1.63 (assume @p648 (forall (@list @t181 @t101 @t95) (=> @t104 (= (= (tptp.hAPP @t103 @t181) @t144) (tptp.c_Rings_Odvd__class_Odvd @t258 (tptp.c_Polynomial_OpCons @t95 @t786 @t787) @t101))))) % 1.41/1.63 (assume @p649 (forall (@list @t788 @t789 @t276 @t95) (=> (and (tptp.class_Rings_Ocomm__ring @t95) @t790) (=> (tptp.c_Rings_Odvd__class_Odvd @t95 @t276 @t789) (forall (@list @t3 @t617) (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t276 (tptp.c_Groups_Oplus__class_Oplus @t95 @t3 @t788)) (tptp.c_Rings_Odvd__class_Odvd @t95 @t276 (tptp.c_Groups_Oplus__class_Oplus @t95 (tptp.c_Groups_Ominus__class_Ominus @t95 @t3 (tptp.hAPP (tptp.hAPP @t114 @t617) @t789)) @t788)))))))) % 1.41/1.63 (assume @p650 (forall (@list @t722 @t318 @t95) (=> (and @t790 (tptp.class_Rings_Osemiring__0 @t95)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t318 (tptp.hAPP (tptp.hAPP @t114 @t722) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t95 @t722 (tptp.c_Groups_Oplus__class_Oplus @t95 @t3 @t144)) @t791)))))) % 1.41/1.63 (assume @p651 (forall (@list @t109 @t354) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t354 @t358) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t354 @t109)))) % 1.41/1.63 (assume @p652 (forall @t792 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t70) @t419))) % 1.41/1.63 (assume @p653 (forall (@list @t788 @t299 @t354) (=> (not @t795) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t299 @t788) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t794 (tptp.hAPP @t793 @t788)))))) % 1.41/1.63 (assume @p654 (forall @t797 (= @t796 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t276 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t788))))) % 1.41/1.63 (assume @p655 (forall @t797 (= @t796 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t276) @t788)))) % 1.41/1.63 (assume @p656 (forall @t417 (=> @t800 (=> @t799 @t798)))) % 1.41/1.63 (assume @p657 (forall @t417 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t351 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t65 @t7)) @t801))) % 1.41/1.63 (assume @p658 (forall @t310 (=> @t804 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t7) (=> @t803 (=> @t802 @t325)))))) % 1.41/1.63 (assume @p659 (forall @t310 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t65) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t65 @t7) (not @t802))))) % 1.41/1.63 (assume @p660 (forall @t417 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t490 @t65) (tptp.hAPP @t490 @t7)) (=> (not (= @t351 @t489)) @t803)))) % 1.41/1.63 (assume @p661 (forall (@list @t299 @t109 @t354) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t354 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t109 @t794)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t354 @t109)))) % 1.41/1.63 (assume @p662 (forall (@list @t181 @t788 @t97 @t276 @t107) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t107 @t276) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t788)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 (tptp.hAPP (tptp.hAPP @t455 @t181) @t276)) @t788)))))) % 1.41/1.63 (assume @p663 (forall @t310 (=> @t656 (=> @t202 (not @t805))))) % 1.41/1.63 (assume @p664 (forall @t357 (= @t807 (or @t400 @t806)))) % 1.41/1.63 (assume @p665 (forall @t417 (=> @t798 (=> @t799 (=> @t536 @t800))))) % 1.41/1.63 (assume @p666 (forall @t417 (=> @t798 (=> @t800 (=> @t536 @t799))))) % 1.41/1.63 (assume @p667 (forall (@list @t7 @t272) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t272 @t7) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t272 @t7))))) % 1.41/1.63 (assume @p668 (forall (@list @t7 @t351) (=> @t799 (=> @t256 @t542)))) % 1.41/1.63 (assume @p669 (forall @t417 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t416 @t415) (=> @t395 @t808)))) % 1.41/1.63 (assume @p670 (forall @t357 (=> @t410 (= @t807 @t806)))) % 1.41/1.63 (assume @p671 (forall @t334 (=> @t388 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t402 @t299) @t299) @t418)))) % 1.41/1.63 (assume @p672 (forall @t334 (=> @t388 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t413 @t299) @t418)))) % 1.41/1.63 (assume @p673 (forall @t207 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t206 @t205) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t70 @t203) @t541)))) % 1.41/1.63 (assume @p674 (forall @t811 (=> @t773 (=> @t810 (and @t772 @t809))))) % 1.41/1.63 (assume @p675 (forall @t811 (=> @t773 (=> @t810 @t809)))) % 1.41/1.63 (assume @p676 (forall @t813 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t157 @t13) @t7) (tptp.hAPP (tptp.hAPP @t157 @t45) @t7)) (=> @t270 @t812)))) % 1.41/1.63 (assume @p677 (forall @t814 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t8 @t8))) % 1.41/1.63 (assume @p678 (forall @t315 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t815))) % 1.41/1.63 (assume @p679 (forall @t310 (=> @t202 @t817))) % 1.41/1.63 (assume @p680 (forall @t315 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t815))) % 1.41/1.63 (assume @p681 (forall (@list @t351) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t818 @t351))) % 1.41/1.63 (assume @p682 (forall @t821 (= @t229 (and @t820 @t819)))) % 1.41/1.63 (assume @p683 (forall @t821 (= @t820 (or @t822 @t229)))) % 1.41/1.63 (assume @p684 (forall @t821 (= @t822 (and @t820 @t758)))) % 1.41/1.63 (assume @p685 (forall @t825 (=> @t769 (=> @t812 @t824)))) % 1.41/1.63 (assume @p686 (forall @t332 (=> @t330 @t826))) % 1.41/1.63 (assume @p687 (forall (@list @t97 @t228) (=> @t819 (= @t820 @t229)))) % 1.41/1.63 (assume @p688 (forall @t332 (=> @t826 (or @t828 @t330)))) % 1.41/1.63 (assume @p689 (forall @t825 (=> @t812 (=> @t769 @t824)))) % 1.41/1.63 (assume @p690 (forall @t522 (=> @t242 (=> @t830 @t829)))) % 1.41/1.63 (assume @p691 (forall @t522 (=> @t812 (=> @t220 @t829)))) % 1.41/1.63 (assume @p692 (forall @t310 (=> @t808 (=> @t805 @t325)))) % 1.41/1.63 (assume @p693 (forall @t332 (=> @t826 (=> @t827 @t330)))) % 1.41/1.63 (assume @p694 (forall @t350 (=> @t826 (=> @t832 @t831)))) % 1.41/1.63 (assume @p695 (forall @t522 (=> @t242 (=> (and @t830 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t85 @t45))) @t833)))) % 1.41/1.63 (assume @p696 (forall @t350 (=> @t826 @t835))) % 1.41/1.63 (assume @p697 (forall @t332 (=> @t828 @t331))) % 1.41/1.63 (assume @p698 (forall @t332 (=> @t828 (not (and @t827 (not @t826)))))) % 1.41/1.63 (assume @p699 (forall @t332 (=> @t828 @t826))) % 1.41/1.63 (assume @p700 (forall @t332 (=> @t828 @t762))) % 1.41/1.63 (assume @p701 (forall @t522 (=> @t824 (=> @t220 @t833)))) % 1.41/1.63 (assume @p702 (forall @t350 (=> @t828 (=> @t832 @t834)))) % 1.41/1.63 (assume @p703 (forall @t825 (=> @t824 (not (and @t823 (not @t812)))))) % 1.41/1.63 (assume @p704 (forall @t350 (=> @t828 @t835))) % 1.41/1.63 (assume @p705 (forall @t792 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t818) @t836))) % 1.41/1.63 (assume @p706 (forall @t334 (= (not @t322) @t838))) % 1.41/1.63 (assume @p707 (forall @t334 (= @t840 @t613))) % 1.41/1.63 (assume @p708 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t837 @t839) @t322))) % 1.41/1.63 (assume @p709 (forall @t657 (=> (not @t321) @t841))) % 1.41/1.63 (assume @p710 (forall @t328 (=> (not @t327) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t816) @t325)))) % 1.41/1.63 (assume @p711 (forall @t310 (=> @t202 @t842))) % 1.41/1.63 (assume @p712 (forall @t310 (=> @t202 (=> (not (= @t816 @t7)) @t843)))) % 1.41/1.63 (assume @p713 (forall @t366 (=> @t361 (=> @t605 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t844 @t351))))) % 1.41/1.63 (assume @p714 (forall @t310 (=> @t842 (=> @t658 @t325)))) % 1.41/1.63 (assume @p715 (forall @t310 (=> @t843 @t202))) % 1.41/1.63 (assume @p716 (forall @t310 (=> @t817 @t202))) % 1.41/1.63 (assume @p717 (forall @t390 (not (= @t132 @t816)))) % 1.41/1.63 (assume @p718 (forall (@list @t845) (not (= @t132 (tptp.c_Nat_OSuc @t845))))) % 1.41/1.63 (assume @p719 (forall @t390 (not (= @t816 @t132)))) % 1.41/1.63 (assume @p720 (forall (@list @t846) (not (= (tptp.c_Nat_OSuc @t846) @t132)))) % 1.41/1.63 (assume @p721 (forall @t310 (= @t848 @t847))) % 1.41/1.63 (assume @p722 (forall @t310 (= @t849 @t847))) % 1.41/1.63 (assume @p723 (forall @t310 (= @t849 @t848))) % 1.41/1.63 (assume @p724 (forall @t357 (= (= @t852 @t851) @t300))) % 1.41/1.63 (assume @p725 (forall @t315 (not (= @t7 @t815)))) % 1.41/1.63 (assume @p726 (forall @t315 (not (= @t815 @t7)))) % 1.41/1.63 (assume @p727 (forall (@list @t853 @t854) (= (= (tptp.c_Nat_OSuc @t854) (tptp.c_Nat_OSuc @t853)) (= @t854 @t853)))) % 1.41/1.63 (assume @p728 (forall @t332 (=> (= (tptp.c_Nat_OSuc @t8) (tptp.c_Nat_OSuc @t51)) @t330))) % 1.41/1.63 (assume @p729 (forall @t310 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t816 @t815) @t535))) % 1.41/1.63 (assume @p730 (forall @t353 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t855 (tptp.c_Nat_OSuc @t351)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t535 @t351)))) % 1.41/1.63 (assume @p731 (forall (@list @t109 @t107 @t195 @t194 @t95) (= (tptp.hAPP @t196 @t839) (tptp.hAPP (tptp.hAPP @t195 @t107) (tptp.hAPP @t196 @t109))))) % 1.41/1.63 (assume @p732 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t815 @t7)))) % 1.41/1.63 (assume @p733 (forall @t334 (= (not @t543) @t856))) % 1.41/1.63 (assume @p734 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t299 @t839) (or @t543 (= @t299 @t839))))) % 1.41/1.63 (assume @p735 (forall @t657 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t839 @t837) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t109 @t299)))) % 1.41/1.63 (assume @p736 (forall @t310 (=> @t541 @t857))) % 1.41/1.63 (assume @p737 (forall @t310 (=> @t857 (=> (not @t541) (= @t65 @t815))))) % 1.41/1.63 (assume @p738 (forall @t310 (=> @t858 @t541))) % 1.41/1.63 (assume @p739 (forall @t38 (=> @t271 (= (tptp.hAPP @t267 @t815) @t134)))) % 1.41/1.63 (assume @p740 (forall @t44 (=> @t133 (= @t859 @t41)))) % 1.41/1.63 (assume @p741 (forall @t862 (=> @t18 (= @t861 @t860)))) % 1.41/1.63 (assume @p742 (forall @t44 (=> @t37 (= @t859 @t43)))) % 1.41/1.63 (assume @p743 (forall @t862 (=> @t18 (= @t860 @t861)))) % 1.41/1.63 (assume @p744 (forall @t862 (=> @t18 (= (tptp.hAPP @t54 @t8) @t861)))) % 1.41/1.63 (assume @p745 (forall @t814 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t863) (or (= @t8 @t132) (= @t8 @t818))))) % 1.41/1.63 (assume @p746 (forall @t334 (= @t840 (or @t391 (exists @t865 (and (= @t299 (tptp.c_Nat_OSuc @t864)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t864 @t109))))))) % 1.41/1.63 (assume @p747 (forall @t344 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t109 @t818) @t155))) % 1.41/1.63 (assume @p748 (forall @t344 (= @t343 (exists (@list @t866) (= @t109 (tptp.c_Nat_OSuc @t866)))))) % 1.41/1.63 (assume @p749 (forall @t334 (= (= @t389 @t818) @t868))) % 1.41/1.63 (assume @p750 (forall @t334 (= (= @t818 @t389) @t868))) % 1.41/1.63 (assume @p751 (forall @t334 (= (= @t413 @t818) (and @t836 @t867)))) % 1.41/1.63 (assume @p752 (forall @t334 (= @t322 (exists @t619 (= @t109 (tptp.c_Nat_OSuc @t618)))))) % 1.41/1.63 (assume @p753 (forall @t869 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t203))))) % 1.41/1.63 (assume @p754 (forall @t869 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t203 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t203 @t65))))) % 1.41/1.63 (assume @p755 (forall @t310 (=> @t858 @t202))) % 1.41/1.63 (assume @p756 (forall @t334 (=> @t543 @t841))) % 1.41/1.63 (assume @p757 (forall @t310 (=> @t202 @t858))) % 1.41/1.63 (assume @p758 (forall @t310 (=> @t541 @t842))) % 1.41/1.63 (assume @p759 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t837 @t109) @t322))) % 1.41/1.63 (assume @p760 (forall @t334 (= @t840 @t543))) % 1.41/1.63 (assume @p761 (forall @t657 (= @t321 @t856))) % 1.41/1.63 (assume @p762 (= @t70 @t818)) % 1.41/1.63 (assume @p763 (forall @t357 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t852 @t851) @t322))) % 1.41/1.63 (assume @p764 (forall @t310 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t535 @t816))) % 1.41/1.63 (assume @p765 (forall @t310 (= (tptp.hAPP @t67 @t815) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t68)))) % 1.41/1.63 (assume @p766 (forall @t310 (= (tptp.hAPP (tptp.hAPP @t61 @t816) @t7) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t68)))) % 1.41/1.63 (assume @p767 (forall @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t852 @t851) @t543))) % 1.41/1.63 (assume @p768 (forall @t328 (=> @t536 (= @t855 (tptp.c_Nat_OSuc @t535))))) % 1.41/1.63 (assume @p769 (forall @t315 (= @t815 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t70 @t7)))) % 1.41/1.63 (assume @p770 (forall @t315 (= @t815 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t70)))) % 1.41/1.63 (assume @p771 (forall @t310 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t815) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t684 @t7)))) % 1.41/1.63 (assume @p772 (forall @t315 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t815 @t70) @t7))) % 1.41/1.63 (assume @p773 (forall @t315 (= (tptp.hAPP (tptp.hAPP @t157 @t818) @t7) @t818))) % 1.41/1.63 (assume @p774 (forall (@list @t299 @t97) (= (= (tptp.hAPP @t158 @t299) @t818) (or @t391 (= @t97 @t818))))) % 1.41/1.63 (assume @p775 (forall @t250 (=> @t123 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t859 @t870) (=> @t638 @t601))))) % 1.41/1.63 (assume @p776 (forall @t250 (=> @t123 (=> (= @t859 @t870) (=> @t501 (=> @t638 @t242)))))) % 1.41/1.63 (assume @p777 (forall @t44 (=> @t123 (=> @t122 (tptp.c_Orderings_Oord__class_Oless @t9 @t34 @t859))))) % 1.41/1.63 (assume @p778 (forall @t233 (=> @t104 (= (= (tptp.hAPP (tptp.hAPP @t115 @t97) @t863) (tptp.hAPP (tptp.hAPP @t115 @t228) @t863)) (or @t229 (= @t97 @t230)))))) % 1.41/1.63 (assume @p779 (forall @t328 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t68))))) % 1.41/1.63 (assume @p780 (forall @t328 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t374))))) % 1.41/1.63 (assume @p781 (forall @t328 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t818 @t68))))) % 1.41/1.63 (assume @p782 (forall @t315 (=> @t256 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t818)) @t7)))) % 1.41/1.63 (assume @p783 (forall (@list @t203 @t7) (=> @t256 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t844) @t7)))) % 1.41/1.63 (assume @p784 (forall @t334 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t818 @t413) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t818 @t299) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t818 @t109))))) % 1.41/1.63 (assume @p785 (forall @t875 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t874 @t65) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t873 @t608))))) % 1.41/1.63 (assume @p786 (forall @t875 (=> @t526 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t874) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t606 @t873))))) % 1.41/1.63 (assume @p787 (forall @t549 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t818 @t203) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t818 @t205)))) % 1.41/1.63 (assume @p788 (forall @t814 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t8 @t132))) % 1.41/1.63 (assume @p789 (forall @t44 (=> @t260 (= (tptp.c_Polynomial_Omonom @t9 @t13 @t815) (tptp.c_Polynomial_OpCons @t9 @t134 @t16))))) % 1.41/1.63 (assume @p790 (forall @t814 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t70 @t8))) % 1.41/1.63 (assume @p791 (forall (@list @t7 @t240 @t9) (=> @t123 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t134 @t240) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t240 @t34) (tptp.c_Orderings_Oord__class_Oless__eq @t9 (tptp.hAPP (tptp.hAPP @t10 @t240) @t815) @t240)))))) % 1.41/1.63 (assume @p792 (forall @t44 (=> @t123 (=> @t200 (=> @t253 (tptp.c_Orderings_Oord__class_Oless @t9 @t859 @t34)))))) % 1.41/1.63 (assume @p793 (forall (@list @t51 @t7 @t22 @t9) (=> @t37 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t22 @t7) (= (tptp.hAPP @t52 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t815 @t22)) (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t52 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t22))) @t51)))))) % 1.41/1.63 (assume @p794 (forall @t315 (=> @t256 (= @t7 @t876)))) % 1.41/1.63 (assume @p795 (forall @t315 (=> @t256 (= @t876 @t7)))) % 1.41/1.63 (assume @p796 (forall @t310 (and (=> @t309 (= @t117 @t7)) (=> @t685 (= @t117 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t684 @t7))))))) % 1.41/1.63 (assume @p797 (forall @t304 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t9 (tptp.hAPP @t11 @t863) (tptp.hAPP @t52 @t863)) (tptp.hAPP @t598 @t465))))) % 1.41/1.63 (assume @p798 (forall @t328 (=> @t256 (=> @t808 @t656)))) % 1.41/1.63 (assume @p799 (forall @t813 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t452 @t13) @t7) (tptp.hAPP (tptp.hAPP @t452 @t45) @t7)) (=> @t270 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t13 @t45))))) % 1.41/1.63 (assume @p800 (forall @t877 (=> @t243 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t452 @t107) @t109) (tptp.hAPP (tptp.hAPP @t452 @t106) @t109)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t107 @t106))))) % 1.41/1.63 (assume @p801 (forall @t877 (=> @t243 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t157 @t107) @t109) (tptp.hAPP (tptp.hAPP @t157 @t106) @t109)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t107 @t106))))) % 1.41/1.63 (assume @p802 (forall @t879 (=> @t656 (=> @t491 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t878 @t65) @t351) (tptp.hAPP @t878 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t818))))))) % 1.41/1.63 (assume @p803 (forall (@list @t101 @t107 @t95 @t286 @t2 @t236) (=> @t885 (=> @t884 (= @t882 (tptp.hAPP @t881 @t880)))))) % 1.41/1.63 (assume @p804 (forall @t889 (=> @t888 (=> (forall @t6 (=> @t791 (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t276))))) (=> @t887 (forall @t6 (=> @t791 (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t886)))))))))) % 1.41/1.63 (assume @p805 (forall @t185 (=> @t891 (=> @t783 (=> (tptp.c_Rings_Odvd__class_Odvd @t95 @t107 @t181) (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t890 (tptp.c_Divides_Odiv__class_Odiv @t95 @t181 @t107)) (tptp.c_Rings_Odvd__class_Odvd @t95 @t106 @t181))))))) % 1.41/1.63 (assume @p806 (forall @t328 (=> @t802 (= @t893 @t65)))) % 1.41/1.63 (assume @p807 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t13 @t34) @t13)))) % 1.41/1.63 (assume @p808 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t13 @t134) @t134)))) % 1.41/1.63 (assume @p809 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t134 @t13) @t134)))) % 1.41/1.63 (assume @p810 (forall @t895 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t489 @t45) @t489))) % 1.41/1.63 (assume @p811 (forall @t825 (= @t899 @t897))) % 1.41/1.63 (assume @p812 (forall @t825 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t896 @t898) @t900))) % 1.41/1.63 (assume @p813 (forall @t901 (=> (not (= @t13 @t489)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t13) @t488)))) % 1.41/1.63 (assume @p814 (forall @t825 (=> @t903 (=> @t902 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t900 @t489))))) % 1.41/1.63 (assume @p815 (forall @t907 (=> @t906 (= @t905 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t107))))) % 1.41/1.63 (assume @p816 (forall @t907 (=> @t908 (= @t905 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 @t489))))) % 1.41/1.63 (assume @p817 (forall @t332 (=> @t729 (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t909))))) % 1.41/1.63 (assume @p818 (forall @t227 (=> @t894 @t914))) % 1.41/1.63 (assume @p819 (forall @t227 (=> @t894 (=> @t913 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t282 @t87) @t910))))) % 1.41/1.63 (assume @p820 (forall @t441 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t91 @t45) @t13))))) % 1.41/1.63 (assume @p821 (forall @t441 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t48 @t45) @t13))))) % 1.41/1.63 (assume @p822 (forall @t227 (=> @t894 (and (=> @t912 (= @t911 @t134)) @t914)))) % 1.41/1.63 (assume @p823 (forall @t58 (=> @t894 (=> @t294 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t13 @t13) @t34))))) % 1.41/1.63 (assume @p824 (forall @t93 (=> @t894 (=> @t777 (= (tptp.hAPP @t15 @t915) @t45))))) % 1.41/1.63 (assume @p825 (forall @t655 (=> @t894 (=> @t916 (= (tptp.hAPP @t15 (tptp.c_Divides_Odiv__class_Odiv @t9 @t45 @t85)) (tptp.c_Divides_Odiv__class_Odiv @t9 @t48 @t85)))))) % 1.41/1.63 (assume @p826 (forall @t93 (=> @t894 (=> @t777 (= (tptp.hAPP @t917 @t13) @t45))))) % 1.41/1.63 (assume @p827 (forall @t88 (=> @t894 (=> @t777 (= (tptp.hAPP @t917 @t85) (tptp.c_Divides_Odiv__class_Odiv @t9 @t87 @t13)))))) % 1.41/1.63 (assume @p828 (forall (@list @t472 @t272 @t8 @t51 @t9) (=> @t894 (=> @t919 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t272 @t472) (= (tptp.hAPP (tptp.hAPP @t14 @t918) (tptp.c_Divides_Odiv__class_Odiv @t9 @t472 @t272)) (tptp.c_Divides_Odiv__class_Odiv @t9 (tptp.hAPP @t55 @t472) (tptp.hAPP @t301 @t272)))))))) % 1.41/1.63 (assume @p829 (forall (@list @t51 @t8 @t272 @t9) (=> @t894 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t272 @t8) (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t272 @t51) (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t465 @t272) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Divides_Odiv__class_Odiv @t9 @t8 @t272) (tptp.c_Divides_Odiv__class_Odiv @t9 @t51 @t272)))))))) % 1.41/1.63 (assume @p830 (forall @t753 (=> @t921 (=> @t919 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t8 @t609) @t920))))) % 1.41/1.63 (assume @p831 (forall @t753 (=> @t921 (=> @t919 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t238 @t51) @t920))))) % 1.41/1.63 (assume @p832 (forall (@list @t7 @t8 @t51 @t9) (=> @t894 (=> @t919 (= (tptp.hAPP (tptp.hAPP @t10 @t918) @t7) (tptp.c_Divides_Odiv__class_Odiv @t9 @t12 @t781)))))) % 1.41/1.63 (assume @p833 (forall (@list @t354 @t530) (= (= @t922 @t489) (or @t795 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t530) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t530 @t354)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t530 @t489) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t354 @t530)))))) % 1.41/1.63 (assume @p834 (forall @t907 (=> @t908 (= @t924 @t923)))) % 1.41/1.63 (assume @p835 (forall (@list @t530 @t354) (=> @t925 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t922) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t354 @t530))))) % 1.41/1.63 (assume @p836 (forall (@list @t106 @t107) (=> @t923 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t904) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t106 @t107) @t908))))) % 1.41/1.63 (assume @p837 (forall @t928 (=> @t927 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t926)))))) % 1.41/1.63 (assume @p838 (forall @t825 (=> @t927 (=> @t930 @t929)))) % 1.41/1.63 (assume @p839 (forall @t825 (=> @t927 (=> @t932 @t931)))) % 1.41/1.63 (assume @p840 (forall @t907 (=> @t906 (= @t924 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 @t489))))) % 1.41/1.63 (assume @p841 (forall @t825 (=> @t933 (=> @t902 @t929)))) % 1.41/1.63 (assume @p842 (forall @t928 (=> @t903 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t926 @t900)))))) % 1.41/1.63 (assume @p843 (forall @t825 (=> @t933 (=> @t934 @t931)))) % 1.41/1.63 (assume @p844 (forall @t937 (=> @t936 (=> @t902 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t935))))) % 1.41/1.63 (assume @p845 (forall @t937 (=> @t936 (=> @t930 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t935 @t900))))) % 1.41/1.63 (assume @p846 (forall (@list @t351 @t8) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t8) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t488 @t351) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t8 @t351) @t8))))) % 1.41/1.63 (assume @p847 (forall @t940 (=> @t939 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t938) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t900 @t85))))) % 1.41/1.63 (assume @p848 (forall @t224 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t942 @t45) @t941))))) % 1.41/1.63 (assume @p849 (forall @t224 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t943 @t45) @t941))))) % 1.41/1.63 (assume @p850 (forall @t441 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t223 @t45) @t944))))) % 1.41/1.63 (assume @p851 (forall @t441 (=> @t894 (=> @t378 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t138 @t45) @t944))))) % 1.41/1.63 (assume @p852 (forall @t185 (=> @t891 (=> @t945 (=> @t783 (= (= @t890 @t181) (= @t106 @t437))))))) % 1.41/1.63 (assume @p853 (forall (@list @t276 @t106 @t181 @t107 @t95) (=> @t891 (=> @t945 (=> (not @t784) (=> @t783 (=> (tptp.c_Rings_Odvd__class_Odvd @t95 @t181 @t276) (= (= @t890 (tptp.c_Divides_Odiv__class_Odiv @t95 @t276 @t181)) (= @t275 @t278))))))))) % 1.41/1.63 (assume @p854 (forall (@list @t95 @t286 @t2 @t236) (=> @t885 (=> @t884 (= (tptp.c_Polynomial_Opoly__rec @t95 @t236 @t286 @t2 @t883) @t286))))) % 1.41/1.63 (assume @p855 (forall (@list @t101 @t107 @t2 @t286 @t95 @t236) (=> @t885 (= @t882 (tptp.hAPP @t881 (tptp.c_If @t95 (tptp.c_fequal @t101 @t883) @t286 @t880)))))) % 1.41/1.63 (assume @p856 (forall @t955 (= (tptp.hBOOL @t954) (and (=> @t795 (tptp.hBOOL (tptp.hAPP @t318 @t489))) (=> @t925 (forall @t951 (=> (exists @t865 @t953) @t948))) (=> @t952 (forall @t951 (=> (exists @t865 @t950) @t948))))))) % 1.41/1.63 (assume @p857 (forall (@list @t959 @t51 @t956 @t957) (=> (= @t957 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t962 @t51) @t959)) (=> (and (=> @t960 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t959) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t959 @t956))) (=> @t961 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t956 @t959) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t959 @t489)))) (=> @t958 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t957 @t956) @t51)))))) % 1.41/1.63 (assume @p858 (forall @t967 (and (=> @t965 (= @t964 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t351 @t367))) (=> @t966 (= @t964 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t351 @t963))))))) % 1.41/1.63 (assume @p859 (forall @t889 (=> @t888 (=> (forall @t6 (=> @t791 (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t276))))) (=> @t887 (forall @t6 (=> @t791 (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t886)))))))))) % 1.41/1.63 (assume @p860 (forall @t390 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t65 @t818) @t65))) % 1.41/1.63 (assume @p861 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t968 @t65))) % 1.41/1.63 (assume @p862 (forall @t353 (=> @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t65 @t351) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t7 @t351))))) % 1.41/1.63 (assume @p863 (forall @t304 (=> @t971 (= (tptp.c_Divides_Odiv__class_Odiv @t25 (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t8) @t51) @t970)))) % 1.41/1.63 (assume @p864 (forall @t304 (=> @t971 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t8 (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t51)) @t970)))) % 1.41/1.63 (assume @p865 (forall @t273 (=> @t971 (= (tptp.c_Divides_Odiv__class_Odiv @t25 @t8 (tptp.hAPP (tptp.hAPP @t26 @t51) @t272)) (tptp.c_Divides_Odiv__class_Odiv @t25 @t969 @t272))))) % 1.41/1.63 (assume @p866 (forall @t522 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t13 @t974) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t972 @t85)))) % 1.41/1.63 (assume @p867 (forall @t417 (and (=> @t977 (= @t975 @t132)) (=> (not @t977) @t976)))) % 1.41/1.63 (assume @p868 (forall @t310 @t978)) % 1.41/1.63 (assume @p869 (forall @t353 (=> @t656 (=> @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t351 @t7) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t351 @t65)))))) % 1.41/1.63 (assume @p870 (forall @t417 (=> @t395 @t976))) % 1.41/1.63 (assume @p871 (forall @t328 (=> @t256 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t68 @t7) @t65)))) % 1.41/1.63 (assume @p872 (forall @t328 (=> @t256 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t374 @t7) @t65)))) % 1.41/1.63 (assume @p873 (forall @t328 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t70 @t7) (=> @t656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t968 @t65))))) % 1.41/1.63 (assume @p874 (forall @t328 (=> @t256 (and @t978 @t980)))) % 1.41/1.63 (assume @p875 (forall @t328 (=> @t256 @t980))) % 1.41/1.63 (assume @p876 (forall @t955 (= (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t109 @t354))) (and (=> @t400 @t676) (=> (not @t400) (forall @t981 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t864 @t354) (=> (= @t109 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t406 @t946) @t864)) @t948)))))))) % 1.41/1.63 (assume @p877 (forall (@list @t299 @t100 @t109) (=> @t343 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t402 @t100) @t299) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 (tptp.hAPP @t402 (tptp.c_Nat_OSuc @t100)))) (= @t100 @t982))))) % 1.41/1.63 (assume @p878 (forall (@list @t109 @t299 @t318) (= (tptp.hBOOL (tptp.hAPP @t318 @t982)) (or (and @t155 @t676) (exists @t984 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t402 @t983) @t299) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 (tptp.hAPP @t402 (tptp.c_Nat_OSuc @t983))) (tptp.hBOOL (tptp.hAPP @t318 @t983)))))))) % 1.41/1.63 (assume @p879 (forall @t328 (=> @t256 (=> @t536 @t979)))) % 1.41/1.63 (assume @p880 (forall (@list @t109 @t318) (=> @t680 (=> @t985 (exists @t619 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t617 @t109) (forall @t951 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t946 @t617) (not @t948))) (tptp.hBOOL (tptp.hAPP @t318 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t617 @t70))))))))) % 1.41/1.63 (assume @p881 (forall @t989 (=> @t952 (= @t988 (forall @t981 (=> @t950 @t986)))))) % 1.41/1.63 (assume @p882 (forall @t901 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t489) @t489) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t489) @t13)))) % 1.41/1.63 (assume @p883 (forall @t93 (=> @t894 (= (tptp.c_Divides_Odiv__class_Odiv @t9 @t990 @t45) @t134)))) % 1.41/1.63 (assume @p884 (forall @t825 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t991 @t45) @t489))) % 1.41/1.63 (assume @p885 (forall @t522 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t994 @t85) (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 @t13 @t85) @t993) (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 @t13 @t85) @t992) @t85))))) % 1.41/1.63 (assume @p886 (forall @t93 (=> @t894 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t990 @t995) @t13)))) % 1.41/1.63 (assume @p887 (forall @t441 (=> @t894 (= @t996 @t13)))) % 1.41/1.63 (assume @p888 (forall @t93 (=> @t894 (= @t997 @t13)))) % 1.41/1.63 (assume @p889 (forall @t224 (=> @t894 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t996 @t85) @t163)))) % 1.41/1.63 (assume @p890 (forall @t88 (=> @t894 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t997 @t85) @t163)))) % 1.41/1.63 (assume @p891 (forall @t93 (=> @t894 (=> @t777 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t45 @t13) @t134))))) % 1.41/1.63 (assume @p892 (forall @t166 (=> @t891 (= @t783 (= (tptp.c_Divides_Odiv__class_Omod @t95 @t106 @t107) @t144))))) % 1.41/1.63 (assume @p893 (forall (@list @t299 @t109 @t354 @t95) (=> @t891 (=> (tptp.c_Rings_Odvd__class_Odvd @t95 @t354 @t109) (= (tptp.c_Rings_Odvd__class_Odvd @t95 @t354 (tptp.c_Divides_Odiv__class_Omod @t95 @t299 @t109)) (tptp.c_Rings_Odvd__class_Odvd @t95 @t354 @t299)))))) % 1.41/1.63 (assume @p894 (forall @t655 (=> @t894 (=> @t916 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t990 @t85) @t998))))) % 1.41/1.63 (assume @p895 (forall (@list @t7 @t65 @t1000) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1000 @t65) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1000 @t7) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t1000 @t999))))) % 1.41/1.63 (assume @p896 (forall @t1004 (=> @t894 (=> @t1003 (=> @t1002 @t1001))))) % 1.41/1.63 (assume @p897 (forall @t1004 (=> @t894 (=> @t1001 (=> @t1002 @t1003))))) % 1.41/1.63 (assume @p898 (forall @t417 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t351 @t999) @t801))) % 1.41/1.63 (assume @p899 (forall @t1006 (=> @t930 @t1005))) % 1.41/1.63 (assume @p900 (forall @t1006 (=> @t902 @t1007))) % 1.41/1.63 (assume @p901 (forall (@list @t276 @t299) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t299 @t276) @t489) (exists @t984 (= @t299 (tptp.hAPP (tptp.hAPP @t455 @t276) @t983)))))) % 1.41/1.63 (assume @p902 (forall @t1010 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t351) @t367) @t489)) @t1009))) % 1.41/1.63 (assume @p903 (forall @t1010 (=> (not (= @t1011 @t489)) @t1009))) % 1.41/1.63 (assume @p904 (forall @t93 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t48 @t45) @t134)))) % 1.41/1.63 (assume @p905 (forall @t441 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t91 @t45) @t134)))) % 1.41/1.63 (assume @p906 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t13 @t34) @t134)))) % 1.41/1.63 (assume @p907 (forall @t88 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t943 @t45) @t990)))) % 1.41/1.63 (assume @p908 (forall @t226 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t942 @t45) @t990)))) % 1.41/1.63 (assume @p909 (forall @t1016 (=> @t921 (=> @t1015 (=> @t1014 (= @t1012 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t467 @t461) @t85))))))) % 1.41/1.63 (assume @p910 (forall @t1019 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1018 @t51) @t65) @t1017))) % 1.41/1.63 (assume @p911 (forall (@list @t65 @t51 @t8) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t51 @t65)) @t65) @t1017))) % 1.41/1.63 (assume @p912 (forall @t88 (=> @t921 (= @t1012 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t998 @t1013) @t85))))) % 1.41/1.63 (assume @p913 (forall @t88 (=> @t921 (= @t1012 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t998 @t45) @t85))))) % 1.41/1.63 (assume @p914 (forall @t88 (=> @t921 (= @t1012 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ominus__class_Ominus @t9 @t13 @t1013) @t85))))) % 1.41/1.63 (assume @p915 (forall @t522 (= @t1023 @t1021))) % 1.41/1.63 (assume @p916 (forall @t522 (= @t1021 @t1023))) % 1.41/1.63 (assume @p917 (forall @t88 (=> @t894 (= @t1024 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t15 @t1013) @t85))))) % 1.41/1.63 (assume @p918 (forall @t88 (=> @t894 (= @t1024 @t1026)))) % 1.41/1.63 (assume @p919 (forall @t88 (=> @t894 (= @t1024 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t1025 @t1013) @t85))))) % 1.41/1.63 (assume @p920 (forall @t227 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t423 @t422) (tptp.hAPP @t421 @t990))))) % 1.41/1.63 (assume @p921 (forall @t226 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t282 @t87) (tptp.hAPP (tptp.hAPP @t14 @t990) @t85))))) % 1.41/1.63 (assume @p922 (forall @t226 (=> @t894 (= @t1026 @t1024)))) % 1.41/1.63 (assume @p923 (forall @t1016 (=> @t894 (=> @t1015 (=> @t1014 (= @t1024 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.hAPP @t468 @t461) @t85))))))) % 1.41/1.63 (assume @p924 (forall @t1019 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t452 @t1018) @t51) @t65) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t454 @t65)))) % 1.41/1.63 (assume @p925 (forall @t93 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t990 @t45) @t990)))) % 1.41/1.63 (assume @p926 (forall (@list @t467 @t45 @t13 @t9) (=> @t921 (=> (= @t990 (tptp.c_Divides_Odiv__class_Omod @t9 @t467 @t45)) (= @t1027 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t467) @t45)))))) % 1.41/1.63 (assume @p927 (forall @t93 (=> @t921 (= @t1027 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t990) @t45))))) % 1.41/1.63 (assume @p928 (forall @t1016 (=> @t894 (=> @t1015 (=> @t1014 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t467 @t461) @t85))))))) % 1.41/1.63 (assume @p929 (forall @t226 (=> @t894 (= @t1029 @t1028)))) % 1.41/1.63 (assume @p930 (forall @t88 (=> @t894 (= @t1030 @t1028)))) % 1.41/1.63 (assume @p931 (forall @t88 (=> @t894 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t998 @t1013) @t85))))) % 1.41/1.63 (assume @p932 (forall @t88 (=> @t894 (= @t1028 @t1029)))) % 1.41/1.63 (assume @p933 (forall @t88 (=> @t894 (= @t1028 @t1030)))) % 1.41/1.63 (assume @p934 (forall @t441 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t223 @t45) @t990)))) % 1.41/1.63 (assume @p935 (forall @t93 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t138 @t45) @t990)))) % 1.41/1.63 (assume @p936 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t13 @t13) @t134)))) % 1.41/1.63 (assume @p937 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t13 @t134) @t13)))) % 1.41/1.63 (assume @p938 (forall @t58 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t134 @t13) @t134)))) % 1.41/1.63 (assume @p939 (forall @t895 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t489 @t45) @t489))) % 1.41/1.63 (assume @p940 (forall @t901 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t13) @t489))) % 1.41/1.63 (assume @p941 (forall @t825 (= @t1032 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t1031)))) % 1.41/1.63 (assume @p942 (forall @t825 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t896 @t898) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t991)))) % 1.41/1.63 (assume @p943 (forall (@list @t65 @t8) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t1018) @t65) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t8) @t65)))) % 1.41/1.63 (assume @p944 (forall @t879 (=> @t804 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t65 @t351) @t65)))) % 1.41/1.63 (assume @p945 (forall @t332 (=> @t729 (=> @t730 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t8 @t51)))))) % 1.41/1.63 (assume @p946 (forall (@list @t228 @t109 @t97) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t97 @t109) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t228 @t109)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t109 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t97 @t228))))) % 1.41/1.63 (assume @p947 (forall @t1006 (=> @t902 @t1033))) % 1.41/1.63 (assume @p948 (forall @t1006 (=> @t902 (and @t1033 @t1007)))) % 1.41/1.63 (assume @p949 (forall @t825 (=> @t927 (=> @t932 @t1034)))) % 1.41/1.63 (assume @p950 (forall @t1006 (=> @t930 @t1035))) % 1.41/1.63 (assume @p951 (forall @t1006 (=> @t930 (and @t1035 @t1005)))) % 1.41/1.63 (assume @p952 (forall @t825 (=> @t933 (=> @t934 @t1034)))) % 1.41/1.63 (assume @p953 (forall @t825 (and (=> @t1036 (= @t1031 @t489)) (=> @t1037 (= @t1031 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t45 @t991)))))) % 1.41/1.63 (assume @p954 (forall @t825 (and (=> @t1036 (= @t1032 @t489)) (=> @t1037 (= @t1032 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t991 @t45)))))) % 1.41/1.63 (assume @p955 (forall @t825 (= @t13 @t1038))) % 1.41/1.63 (assume @p956 (forall @t522 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1022 @t85) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t693 @t993) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1020 @t85))))) % 1.41/1.63 (assume @p957 (forall (@list @t351 @t13 @t45) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1038 @t351) @t1039))) % 1.41/1.63 (assume @p958 (forall (@list @t351 @t45 @t13) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t455 @t900) @t45) @t991) @t351) @t1039))) % 1.41/1.63 (assume @p959 (forall @t310 (= @t999 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t65 (tptp.hAPP (tptp.hAPP @t455 @t892) @t7))))) % 1.41/1.63 (assume @p960 (forall @t328 (= @t893 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t65 @t999)))) % 1.41/1.63 (assume @p961 (forall @t825 (=> @t695 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t994 @t489) (= @t991 @t994))))) % 1.41/1.63 (assume @p962 (forall @t955 (= (tptp.hBOOL (tptp.hAPP @t318 @t987)) (and (=> @t795 @t985) (=> @t925 (forall @t981 (=> @t953 @t1040))) (=> @t952 (forall @t981 (=> @t950 @t1040))))))) % 1.41/1.63 (assume @p963 (forall @t1042 (=> @t939 (=> @t697 (=> @t704 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t489 @t1041)))))) % 1.41/1.63 (assume @p964 (forall @t1042 (=> @t939 (=> @t697 (=> @t704 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1041 @t938)))))) % 1.41/1.63 (assume @p965 (forall @t1043 (=> @t939 (=> @t712 (=> @t713 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t938 @t1041)))))) % 1.41/1.63 (assume @p966 (forall @t1043 (=> @t939 (=> @t712 (=> @t713 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1041 @t489)))))) % 1.41/1.63 (assume @p967 (forall (@list @t51 @t1044 @t956 @t957) (=> (= @t957 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t962 @t1044) @t51)) (=> (and (=> @t960 (and @t730 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t956))) (=> @t961 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t956 @t51) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t489)))) (=> @t958 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t957 @t956) @t51)))))) % 1.41/1.63 (assume @p968 (forall @t940 (=> @t939 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t938) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t707 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t900 @t85)) @t991))))) % 1.41/1.63 (assume @p969 (forall @t1006 (=> @t1047 (and (=> @t1036 (= @t899 @t1045)) (=> @t1037 (= @t899 @t1046)))))) % 1.41/1.63 (assume @p970 (forall @t1006 (=> @t1047 (and (=> @t1036 (= @t897 @t1045)) (=> @t1037 (= @t897 @t1046)))))) % 1.41/1.63 (assume @p971 (forall @t989 (=> @t925 (= @t988 (forall @t981 (=> @t953 @t986)))))) % 1.41/1.63 (assume @p972 (forall @t967 (and (=> @t965 (= @t1048 @t1008)) (=> @t966 (= @t1048 @t1011))))) % 1.41/1.63 (assume @p973 (forall (@list @t8 @t272 @t171) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t489 @t171) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t272 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t8 (tptp.hAPP (tptp.hAPP @t455 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t8 @t272)) @t488)) @t171)))))) % 1.41/1.63 (assume @p974 (forall @t736 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t51 @t8) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t909) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t8) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t51)))))) % 1.41/1.63 (assume @p975 (forall @t310 (= @t1050 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t1049)))) % 1.41/1.63 (assume @p976 (forall @t328 (= (tptp.hAPP @t372 @t968) @t1051))) % 1.41/1.63 (assume @p977 (forall @t310 (= @t1049 @t1051))) % 1.41/1.63 (assume @p978 (forall @t522 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t45) @t85) (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 @t13 @t85) @t1053) (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 @t13 @t85) @t1052) @t85))))) % 1.41/1.63 (assume @p979 (forall @t522 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1054 @t45) @t85) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1054 @t1053) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1054 @t1052) @t85))))) % 1.41/1.63 (assume @p980 (forall @t522 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t13 @t974) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t973 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t972 @t85)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t13 @t45))))) % 1.41/1.63 (assume @p981 (forall @t328 (=> @t256 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1050 @t7)))) % 1.41/1.63 (assume @p982 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1055)))) % 1.41/1.63 (assume @p983 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ocancel__semigroup__add @t1055)))) % 1.41/1.63 (assume @p984 (forall @t1057 (=> @t1056 (tptp.class_Groups_Oab__semigroup__mult @t1055)))) % 1.41/1.63 (assume @p985 @t1059) % 1.41/1.63 (assume @p986 (forall @t1057 (=> @t1056 (tptp.class_Groups_Oab__semigroup__add @t1055)))) % 1.41/1.63 (assume @p987 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ocomm__monoid__add @t1055)))) % 1.41/1.63 (assume @p988 @t1061) % 1.41/1.63 (assume @p989 @t1063) % 1.41/1.63 (assume @p990 (forall @t1057 (=> @t1056 (tptp.class_Rings_Ocomm__semiring @t1055)))) % 1.41/1.63 (assume @p991 (forall @t1057 (=> @t1056 (tptp.class_Groups_Oab__group__add @t1055)))) % 1.41/1.63 (assume @p992 (forall @t1057 (=> @t1056 (tptp.class_Rings_Ozero__neq__one @t1055)))) % 1.41/1.63 (assume @p993 (forall @t1057 (=> @t1056 (tptp.class_Groups_Omonoid__mult @t1055)))) % 1.41/1.63 (assume @p994 (forall @t1057 (=> @t1056 (tptp.class_Groups_Omonoid__add @t1055)))) % 1.41/1.63 (assume @p995 (forall @t1057 (=> @t1056 (tptp.class_Rings_Osemiring__0 @t1055)))) % 1.41/1.63 (assume @p996 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ogroup__add @t1055)))) % 1.41/1.63 (assume @p997 (forall @t1057 (=> @t1056 (tptp.class_Rings_Omult__zero @t1055)))) % 1.41/1.63 (assume @p998 (forall @t1057 (=> @t1056 (tptp.class_Rings_Ocomm__ring @t1055)))) % 1.41/1.63 (assume @p999 (forall @t1057 (=> @t1056 (tptp.class_Rings_Osemiring @t1055)))) % 1.41/1.63 (assume @p1000 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ouminus @t1055)))) % 1.41/1.63 (assume @p1001 (forall @t1057 (=> @t1056 (tptp.class_Rings_Oring__1 @t1055)))) % 1.41/1.63 (assume @p1002 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ominus @t1055)))) % 1.41/1.63 (assume @p1003 (forall @t1057 (=> @t1056 (tptp.class_Power_Opower @t1055)))) % 1.41/1.63 (assume @p1004 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ozero @t1055)))) % 1.41/1.63 (assume @p1005 (forall @t1057 (=> @t1056 (tptp.class_Rings_Oring @t1055)))) % 1.41/1.63 (assume @p1006 (forall @t1057 (=> @t1056 (tptp.class_Groups_Oone @t1055)))) % 1.41/1.63 (assume @p1007 (forall @t1057 (=> @t1056 (tptp.class_Rings_Odvd @t1055)))) % 1.41/1.63 (assume @p1008 (forall @t1057 (=> @t1056 (tptp.class_Groups_Ocancel__comm__monoid__add @t1055)))) % 1.41/1.63 (assume @p1009 (forall @t1067 (=> @t1066 (tptp.class_Groups_Ocancel__comm__monoid__add @t1065)))) % 1.41/1.63 (assume @p1010 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1011 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1012 (forall @t1070 (=> (tptp.class_Lattices_Oboolean__algebra @t1064) (tptp.class_Lattices_Oboolean__algebra @t1069)))) % 1.41/1.63 (assume @p1013 (forall @t1070 (=> (tptp.class_Orderings_Opreorder @t1064) (tptp.class_Orderings_Opreorder @t1069)))) % 1.41/1.63 (assume @p1014 (forall @t1070 (=> (tptp.class_Orderings_Oorder @t1064) (tptp.class_Orderings_Oorder @t1069)))) % 1.41/1.63 (assume @p1015 (forall @t1070 (=> (tptp.class_Orderings_Oord @t1064) (tptp.class_Orderings_Oord @t1069)))) % 1.41/1.63 (assume @p1016 (forall @t1070 (=> (tptp.class_Groups_Ouminus @t1064) (tptp.class_Groups_Ouminus @t1069)))) % 1.41/1.63 (assume @p1017 (forall @t1070 (=> (tptp.class_Groups_Ominus @t1064) (tptp.class_Groups_Ominus @t1069)))) % 1.41/1.63 (assume @p1018 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1019 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1020 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1021 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1022 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1023 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1024 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1025 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1026 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1027 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1028 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1029 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1030 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1031 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1032 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1033 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1034 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1035 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1036 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1037 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1038 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1039 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1040 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1041 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1042 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1043 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1044 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1045 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1046 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1047 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1048 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1049 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1050 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1051 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1052 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1053 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1054 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1055 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1056 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1057 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1058 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1059 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1060 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1061 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1062 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1063 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1064 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1065 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1066 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1067 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1068 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1069 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1070 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1071 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1072 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1073 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1074 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1075 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1076 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.41/1.63 (assume @p1077 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1078 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1079 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1080 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1081 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1082 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1083 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1084 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1085 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1086 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1087 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1088 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1089 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1090 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1091 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1092 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1093 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1094 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1095 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1096 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1097 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1098 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1099 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1100 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1101 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1102 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1103 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1104 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1105 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1106 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1107 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1108 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1109 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1110 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1111 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1112 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1113 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1114 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.41/1.63 (assume @p1115 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1116 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1117 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1118 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1119 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1120 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.41/1.63 (assume @p1121 (forall @t1067 (=> @t1071 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1065)))) % 1.41/1.63 (assume @p1122 (forall @t1067 (=> @t1072 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1065)))) % 1.41/1.63 (assume @p1123 (forall @t1067 (=> @t1072 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1065)))) % 1.41/1.63 (assume @p1124 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1065)))) % 1.41/1.63 (assume @p1125 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__semiring__1__strict @t1065)))) % 1.41/1.63 (assume @p1126 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__semiring__strict @t1065)))) % 1.41/1.63 (assume @p1127 (forall @t1067 (=> @t1072 (tptp.class_Groups_Oordered__ab__semigroup__add @t1065)))) % 1.41/1.63 (assume @p1128 (forall @t1067 (=> @t1072 (tptp.class_Groups_Oordered__comm__monoid__add @t1065)))) % 1.41/1.63 (assume @p1129 (forall @t1067 (=> @t1072 (tptp.class_Groups_Olinordered__ab__group__add @t1065)))) % 1.41/1.63 (assume @p1130 (forall @t1067 (=> @t1066 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1065)))) % 1.41/1.63 (assume @p1131 (forall @t1067 (=> @t1071 (tptp.class_Rings_Oring__1__no__zero__divisors @t1065)))) % 1.41/1.63 (assume @p1132 (forall @t1067 (=> @t1072 (tptp.class_Rings_Oordered__cancel__semiring @t1065)))) % 1.41/1.63 (assume @p1133 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__ring__strict @t1065)))) % 1.41/1.63 (assume @p1134 (forall @t1067 (=> @t1071 (tptp.class_Rings_Oring__no__zero__divisors @t1065)))) % 1.41/1.63 (assume @p1135 (forall @t1067 (=> @t1072 (tptp.class_Rings_Oordered__comm__semiring @t1065)))) % 1.41/1.63 (assume @p1136 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__semiring__1 @t1065)))) % 1.41/1.63 (assume @p1137 (forall @t1067 (=> @t1072 (tptp.class_Groups_Oordered__ab__group__add @t1065)))) % 1.41/1.63 (assume @p1138 (forall @t1067 (=> @t1066 (tptp.class_Groups_Ocancel__semigroup__add @t1065)))) % 1.41/1.63 (assume @p1139 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__semiring @t1065)))) % 1.41/1.63 (assume @p1140 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__semidom @t1065)))) % 1.41/1.63 (assume @p1141 (forall @t1067 (=> @t1073 (tptp.class_Groups_Oab__semigroup__mult @t1065)))) % 1.41/1.63 (assume @p1142 (forall @t1067 (=> @t1074 (tptp.class_Groups_Ocomm__monoid__mult @t1065)))) % 1.41/1.63 (assume @p1143 (forall @t1067 (=> @t1075 (tptp.class_Groups_Oab__semigroup__add @t1065)))) % 1.41/1.63 (assume @p1144 (forall @t1067 (=> @t1072 (tptp.class_Rings_Oordered__semiring @t1065)))) % 1.41/1.63 (assume @p1145 (forall @t1067 (=> @t1071 (tptp.class_Rings_Ono__zero__divisors @t1065)))) % 1.41/1.63 (assume @p1146 (forall @t1067 (=> @t1075 (tptp.class_Groups_Ocomm__monoid__add @t1065)))) % 1.41/1.63 (assume @p1147 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__ring @t1065)))) % 1.41/1.63 (assume @p1148 (forall @t1067 (=> @t1072 (tptp.class_Rings_Olinordered__idom @t1065)))) % 1.41/1.63 (assume @p1149 @t1077) % 1.41/1.63 (assume @p1150 (forall @t1067 (=> @t1073 (tptp.class_Rings_Ocomm__semiring__0 @t1065)))) % 1.41/1.63 (assume @p1151 (forall @t1067 (=> @t1078 (tptp.class_Divides_Osemiring__div @t1065)))) % 1.41/1.63 (assume @p1152 (forall @t1067 (=> @t1073 (tptp.class_Rings_Ocomm__semiring @t1065)))) % 1.41/1.63 (assume @p1153 (forall @t1067 (=> @t1079 (tptp.class_Groups_Oab__group__add @t1065)))) % 1.41/1.63 (assume @p1154 (forall @t1067 (=> @t1074 (tptp.class_Rings_Ozero__neq__one @t1065)))) % 1.41/1.63 (assume @p1155 (forall @t1067 (=> @t1072 (tptp.class_Rings_Oordered__ring @t1065)))) % 1.41/1.63 (assume @p1156 (forall @t1067 (=> @t1072 (tptp.class_Orderings_Opreorder @t1065)))) % 1.41/1.63 (assume @p1157 (forall @t1067 (=> @t1072 (tptp.class_Orderings_Olinorder @t1065)))) % 1.41/1.63 (assume @p1158 (forall @t1067 (=> @t1074 (tptp.class_Groups_Omonoid__mult @t1065)))) % 1.41/1.63 (assume @p1159 (forall @t1067 (=> @t1080 (tptp.class_Rings_Ocomm__ring__1 @t1065)))) % 1.41/1.63 (assume @p1160 (forall @t1067 (=> @t1075 (tptp.class_Groups_Omonoid__add @t1065)))) % 1.41/1.63 (assume @p1161 (forall @t1067 (=> @t1073 (tptp.class_Rings_Osemiring__0 @t1065)))) % 1.41/1.63 (assume @p1162 (forall @t1067 (=> @t1079 (tptp.class_Groups_Ogroup__add @t1065)))) % 1.41/1.63 (assume @p1163 (forall @t1067 (=> @t1078 (tptp.class_Divides_Oring__div @t1065)))) % 1.41/1.63 (assume @p1164 (forall @t1067 (=> @t1073 (tptp.class_Rings_Omult__zero @t1065)))) % 1.41/1.63 (assume @p1165 (forall @t1067 (=> @t1081 (tptp.class_Rings_Ocomm__ring @t1065)))) % 1.41/1.63 (assume @p1166 (forall @t1067 (=> @t1072 (tptp.class_Orderings_Oorder @t1065)))) % 1.41/1.63 (assume @p1167 (forall @t1067 (=> @t1072 (tptp.class_Int_Oring__char__0 @t1065)))) % 1.41/1.63 (assume @p1168 (forall @t1067 (=> @t1073 (tptp.class_Rings_Osemiring @t1065)))) % 1.41/1.63 (assume @p1169 (forall @t1067 (=> @t1072 (tptp.class_Orderings_Oord @t1065)))) % 1.41/1.63 (assume @p1170 (forall @t1067 (=> @t1079 (tptp.class_Groups_Ouminus @t1065)))) % 1.41/1.63 (assume @p1171 (forall @t1067 (=> @t1072 (tptp.class_Groups_Osgn__if @t1065)))) % 1.41/1.63 (assume @p1172 (forall @t1067 (=> @t1080 (tptp.class_Rings_Oring__1 @t1065)))) % 1.41/1.63 (assume @p1173 (forall @t1067 (=> @t1079 (tptp.class_Groups_Ominus @t1065)))) % 1.41/1.63 (assume @p1174 (forall @t1067 (=> @t1074 (tptp.class_Power_Opower @t1065)))) % 1.41/1.63 (assume @p1175 (forall @t1067 (=> (tptp.class_Groups_Ozero @t1064) (tptp.class_Groups_Ozero @t1065)))) % 1.41/1.63 (assume @p1176 (forall @t1067 (=> @t1081 (tptp.class_Rings_Oring @t1065)))) % 1.41/1.63 (assume @p1177 (forall @t1067 (=> @t1071 (tptp.class_Rings_Oidom @t1065)))) % 1.41/1.63 (assume @p1178 (forall @t1067 (=> @t1074 (tptp.class_Groups_Oone @t1065)))) % 1.41/1.63 (assume @p1179 (forall @t1067 (=> @t1074 (tptp.class_Rings_Odvd @t1065)))) % 1.41/1.63 (assume @p1180 (forall @t1085 (or (not @t1084) @t1083))) % 1.41/1.63 (assume @p1181 (forall @t1085 (or (not @t1083) @t1084))) % 1.41/1.63 (assume @p1182 (not @t1098)) % 1.41/1.63 (assume @p1183 @t1099) % 1.41/1.63 (assume @p1184 true) % 1.41/1.63 (step @p1185 :rule bool-impl-elim :args (@t49 @t1100)) % 1.41/1.63 (step @p1186 :rule cong :premises (@p1185) :args ((forall @t58 (=> @t49 @t1100)))) % 1.41/1.63 (step @p1187 :rule eq-symm :args (@t59 @t13)) % 1.41/1.63 (step @p1188 :rule refl :args (@t49)) % 1.41/1.63 (step @p1189 :rule cong :premises (@p1188 @p1187) :args (@t112)) % 1.41/1.63 (step @p1190 :rule cong :premises (@p1189) :args (@t113)) % 1.41/1.63 (step @p1191 :rule trans :premises (@p1190 @p1186)) % 1.41/1.63 (step @p1192 :rule eq_resolve :premises (@p30 @p1191)) % 1.41/1.63 (step @p1193 :rule instantiate :premises (@p1192) :args ((@list @t1087 tptp.t_a))) % 1.41/1.63 (step @p1194 :rule bool-impl-elim :args (@t1056 @t1058)) % 1.41/1.63 (step @p1195 :rule cong :premises (@p1194) :args (@t1059)) % 1.41/1.63 (step @p1196 :rule eq_resolve :premises (@p985 @p1195)) % 1.41/1.63 (step @p1197 :rule instantiate :premises (@p1196) :args (@t1101)) % 1.41/1.63 (step @p1198 :rule cnf_or_pos :args (@t1104)) % 1.41/1.63 (step @p1199 :rule reordering :premises (@p1198) :args ((or @t1103 @t1102 (not @t1104)))) % 1.41/1.63 (step @p1200 :rule chain_m_resolution :premises (@p1199 @p1183 @p1197) :args (@t1102 @t1105 (@list @t1099 @t1104))) % 1.41/1.63 (step @p1201 :rule cnf_or_pos :args (@t1109)) % 1.41/1.63 (step @p1202 :rule reordering :premises (@p1201) :args ((or @t1107 @t1108 (not @t1109)))) % 1.41/1.63 (step @p1203 :rule chain_m_resolution :premises (@p1202 @p1200 @p1193) :args (@t1107 @t1105 (@list @t1102 @t1109))) % 1.41/1.63 (step @p1204 :rule bool-impl-elim :args (@t18 @t92)) % 1.41/1.63 (step @p1205 :rule cong :premises (@p1204) :args (@t94)) % 1.41/1.63 (step @p1206 :rule eq_resolve :premises (@p26 @p1205)) % 1.41/1.63 (step @p1207 :rule instantiate :premises (@p1206) :args ((@list @t1086 @t1087 tptp.t_a))) % 1.41/1.63 (step @p1208 :rule bool-impl-elim :args (@t1056 @t1060)) % 1.41/1.63 (step @p1209 :rule cong :premises (@p1208) :args (@t1061)) % 1.41/1.63 (step @p1210 :rule eq_resolve :premises (@p988 @p1209)) % 1.41/1.63 (step @p1211 :rule instantiate :premises (@p1210) :args (@t1101)) % 1.41/1.63 (step @p1212 :rule cnf_or_pos :args (@t1111)) % 1.41/1.63 (step @p1213 :rule reordering :premises (@p1212) :args ((or @t1103 @t1110 (not @t1111)))) % 1.41/1.63 (step @p1214 :rule chain_m_resolution :premises (@p1213 @p1183 @p1211) :args (@t1110 @t1105 (@list @t1099 @t1111))) % 1.41/1.63 (step @p1215 :rule cnf_or_pos :args (@t1115)) % 1.41/1.63 (step @p1216 :rule reordering :premises (@p1215) :args ((or @t1114 @t1113 (not @t1115)))) % 1.41/1.63 (step @p1217 :rule chain_m_resolution :premises (@p1216 @p1214 @p1207) :args (@t1113 @t1105 (@list @t1110 @t1115))) % 1.41/1.63 (step @p1218 :rule instantiate :premises (@p1206) :args ((@list tptp.v_p @t1092 @t1093))) % 1.41/1.63 (step @p1219 :rule bool-impl-elim :args (@t1074 @t1076)) % 1.41/1.63 (step @p1220 :rule cong :premises (@p1219) :args (@t1077)) % 1.41/1.63 (step @p1221 :rule eq_resolve :premises (@p1149 @p1220)) % 1.41/1.63 (step @p1222 :rule instantiate :premises (@p1221) :args (@t1101)) % 1.41/1.63 (step @p1223 :rule cnf_or_pos :args (@t1117)) % 1.41/1.63 (step @p1224 :rule reordering :premises (@p1223) :args ((or @t1114 @t1116 (not @t1117)))) % 1.41/1.63 (step @p1225 :rule chain_m_resolution :premises (@p1224 @p1214 @p1222) :args (@t1116 @t1105 (@list @t1110 @t1117))) % 1.41/1.63 (step @p1226 :rule cnf_or_pos :args (@t1121)) % 1.41/1.63 (step @p1227 :rule reordering :premises (@p1226) :args ((or @t1120 @t1119 (not @t1121)))) % 1.41/1.63 (step @p1228 :rule chain_m_resolution :premises (@p1227 @p1225 @p1218) :args (@t1119 @t1105 (@list @t1116 @t1121))) % 1.41/1.63 (step @p1229 :rule bool-impl-elim :args (@t18 @t17)) % 1.41/1.63 (step @p1230 :rule cong :premises (@p1229) :args (@t19)) % 1.41/1.63 (step @p1231 :rule eq_resolve :premises (@p2 @p1230)) % 1.41/1.63 (step @p1232 :rule instantiate :premises (@p1231) :args ((@list tptp.v_x tptp.v_n @t1091 tptp.t_a))) % 1.41/1.63 (step @p1233 :rule cnf_or_pos :args (@t1125)) % 1.41/1.63 (step @p1234 :rule reordering :premises (@p1233) :args ((or @t1114 @t1124 (not @t1125)))) % 1.41/1.63 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1214 @p1232) :args (@t1124 @t1105 (@list @t1110 @t1125))) % 1.41/1.63 (step @p1236 :rule bool-impl-elim :args (@t30 @t29)) % 1.41/1.63 (step @p1237 :rule cong :premises (@p1236) :args (@t32)) % 1.41/1.63 (step @p1238 :rule eq_resolve :premises (@p3 @p1237)) % 1.41/1.63 (step @p1239 :rule instantiate :premises (@p1238) :args ((@list tptp.v_x @t1092 tptp.v_p tptp.t_a))) % 1.41/1.63 (step @p1240 :rule bool-impl-elim :args (@t1056 @t1062)) % 1.41/1.63 (step @p1241 :rule cong :premises (@p1240) :args (@t1063)) % 1.41/1.63 (step @p1242 :rule eq_resolve :premises (@p989 @p1241)) % 1.41/1.63 (step @p1243 :rule instantiate :premises (@p1242) :args (@t1101)) % 1.41/1.63 (step @p1244 :rule cnf_or_pos :args (@t1127)) % 1.41/1.63 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t1103 @t1126 (not @t1127)))) % 1.41/1.63 (step @p1246 :rule chain_m_resolution :premises (@p1245 @p1183 @p1243) :args (@t1126 @t1105 (@list @t1099 @t1127))) % 1.41/1.63 (step @p1247 :rule cnf_or_pos :args (@t1131)) % 1.41/1.63 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t1130 @t1129 (not @t1131)))) % 1.41/1.63 (step @p1249 :rule chain_m_resolution :premises (@p1248 @p1246 @p1239) :args (@t1129 @t1105 (@list @t1126 @t1131))) % 1.41/1.63 (step @p1250 :rule instantiate :premises (@p1206) :args ((@list @t1091 @t1087 tptp.t_a))) % 1.41/1.63 (step @p1251 :rule cnf_or_pos :args (@t1133)) % 1.41/1.63 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t1114 @t1132 (not @t1133)))) % 1.41/1.63 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1214 @p1250) :args (@t1132 @t1105 (@list @t1110 @t1133))) % 1.41/1.63 (assume-push @p1283 @t1107) % 1.41/1.63 (assume-push @p1284 @t1113) % 1.41/1.63 (assume-push @p1285 @t1119) % 1.41/1.63 (assume-push @p1286 @t1124) % 1.41/1.63 (assume-push @p1287 @t1129) % 1.41/1.63 (assume-push @p1288 @t1132) % 1.41/1.63 (step @p1260 :rule symm :premises (@p1217)) % 1.41/1.63 (step @p1261 :rule symm :premises (@p1203)) % 1.41/1.63 (step @p1262 :rule symm :premises (@p1253)) % 1.41/1.63 (step @p1263 :rule trans :premises (@p1235 @p1262 @p1261)) % 1.41/1.63 (step @p1264 :rule refl :args (@t1112)) % 1.41/1.63 (step @p1265 :rule cong :premises (@p1264 @p1263) :args (@t1128)) % 1.41/1.63 (step @p1266 :rule refl :args (tptp.v_x)) % 1.41/1.63 (step @p1267 :rule refl :args (tptp.t_a)) % 1.41/1.63 (step @p1268 :rule cong :premises (@p1267 @p1228) :args (@t1096)) % 1.41/1.63 (step @p1269 :rule cong :premises (@p1268 @p1266) :args (@t1097)) % 1.41/1.63 (step @p1270 :rule trans :premises (@p1269 @p1249 @p1265 @p1260)) % 1.41/1.63 (step-pop @p1289 :rule scope :premises (@p1270)) % 1.41/1.63 (step-pop @p1290 :rule scope :premises (@p1289)) % 1.41/1.63 (step-pop @p1291 :rule scope :premises (@p1290)) % 1.41/1.63 (step-pop @p1292 :rule scope :premises (@p1291)) % 1.41/1.63 (step-pop @p1293 :rule scope :premises (@p1292)) % 1.41/1.63 (step-pop @p1294 :rule scope :premises (@p1293)) % 1.41/1.63 (step @p1271 :rule process_scope :premises (@p1294) :args (@t1098)) % 1.41/1.63 (step @p1278 :rule implies_elim :premises (@p1271)) % 1.41/1.63 (step @p1279 :rule cnf_and_neg :args (@t1134)) % 1.41/1.63 (step @p1280 :rule resolution :premises (@p1279 @p1278) :args (true @t1134)) % 1.41/1.63 (step @p1281 :rule reordering :premises (@p1280) :args ((or @t1098 (not @t1107) (not @t1113) (not @t1119) (not @t1124) (not @t1129) (not @t1132)))) % 1.41/1.63 (step @p1282 false :rule chain_m_resolution :premises (@p1281 @p1253 @p1249 @p1235 @p1228 @p1217 @p1203 @p1182) :args (false (@list false false false false false false true) (@list @t1132 @t1129 @t1124 @t1119 @t1113 @t1107 @t1098))) % 1.41/1.63 ) % 1.41/1.63 % SZS output end Proof % 1.41/1.63 % cvc5 exiting %------------------------------------------------------------------------------