%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV689-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:02:13 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.67s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV689-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:02:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.25/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Unsatisfiable % 0.45/0.67 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.v_k $$unsorted) % 0.45/0.69 (declare-const tptp.v_i $$unsorted) % 0.45/0.69 (declare-const tptp.v_n $$unsorted) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.c_Parity_Oeven__odd__class_Oeven (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tc_nat $$unsorted) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "T_a" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "V_b" $$unsorted)) % 0.45/0.69 (define @t3 () (@var "V_a" $$unsorted)) % 0.45/0.69 (define @t4 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 0.45/0.69 (define @t5 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.45/0.69 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t5 @t4 @t1)) % 0.45/0.69 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t1)) % 0.45/0.69 (define @t8 () (not @t7)) % 0.45/0.69 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t5 @t2 @t1)) % 0.45/0.69 (define @t10 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.45/0.69 (define @t11 () (@list @t1 @t2 @t3)) % 0.45/0.69 (define @t12 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 0.45/0.69 (define @t13 () (@var "V_n" $$unsorted)) % 0.45/0.69 (define @t14 () (@var "V_m" $$unsorted)) % 0.45/0.69 (define @t15 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t16 () (tptp.c_Suc @t14)) % 0.45/0.69 (define @t17 () (@list @t14 @t13)) % 0.45/0.69 (define @t18 () (tptp.c_Suc @t13)) % 0.45/0.69 (define @t19 () (@var "V_y" $$unsorted)) % 0.45/0.69 (define @t20 () (@var "V_x" $$unsorted)) % 0.45/0.69 (define @t21 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t20 @t1)) % 0.45/0.69 (define @t22 () (tptp.c_HOL_Oplus__class_Oplus @t21 (tptp.c_HOL_Otimes__class_Otimes @t19 @t19 @t1) @t1)) % 0.45/0.69 (define @t23 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.45/0.69 (define @t24 () (@list @t1 @t20 @t19)) % 0.45/0.69 (define @t25 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.45/0.69 (define @t26 () (tptp.c_Suc @t25)) % 0.45/0.69 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t3 @t5 @t1)) % 0.45/0.69 (define @t28 () (not @t27)) % 0.45/0.69 (define @t29 () (tptp.c_lessequals @t2 @t5 @t1)) % 0.45/0.69 (define @t30 () (not @t29)) % 0.45/0.69 (define @t31 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1)) % 0.45/0.69 (define @t32 () (tptp.c_HOL_Oord__class_Oless @t31 @t5 @t1)) % 0.45/0.69 (define @t33 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.45/0.69 (define @t34 () (@list @t1 @t3 @t2)) % 0.45/0.69 (define @t35 () (tptp.c_lessequals @t3 @t5 @t1)) % 0.45/0.69 (define @t36 () (not @t35)) % 0.45/0.69 (define @t37 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t5 @t1))) % 0.45/0.69 (define @t38 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t5 @t1)) % 0.45/0.69 (define @t39 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t38 @t1)) % 0.45/0.69 (define @t40 () (@list @t1)) % 0.45/0.69 (define @t41 () (@var "V_j" $$unsorted)) % 0.45/0.69 (define @t42 () (@var "V_k" $$unsorted)) % 0.45/0.69 (define @t43 () (not (tptp.c_lessequals @t42 @t41 tptp.tc_nat))) % 0.45/0.69 (define @t44 () (@var "V_i" $$unsorted)) % 0.45/0.69 (define @t45 () (tptp.c_HOL_Ominus__class_Ominus @t41 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t46 () (tptp.c_HOL_Oplus__class_Oplus @t45 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t47 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t48 () (tptp.c_HOL_Ominus__class_Ominus @t47 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t49 () (@list @t41 @t44 @t42)) % 0.45/0.69 (define @t50 () (tptp.c_HOL_Oplus__class_Oplus @t44 @t45 tptp.tc_nat)) % 0.45/0.69 (define @t51 () (tptp.c_HOL_Oplus__class_Oplus @t44 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t52 () (tptp.c_HOL_Ominus__class_Ominus @t51 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t53 () (@list @t44 @t41 @t42)) % 0.45/0.69 (define @t54 () (@var "V_ry" $$unsorted)) % 0.45/0.69 (define @t55 () (@var "V_ly" $$unsorted)) % 0.45/0.69 (define @t56 () (@var "V_rx" $$unsorted)) % 0.45/0.69 (define @t57 () (@var "V_lx" $$unsorted)) % 0.45/0.69 (define @t58 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t56 @t1)) % 0.45/0.69 (define @t59 () (tptp.c_HOL_Otimes__class_Otimes @t56 @t54 @t1)) % 0.45/0.69 (define @t60 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t55 @t1)) % 0.45/0.69 (define @t61 () (tptp.c_HOL_Otimes__class_Otimes @t60 @t59 @t1)) % 0.45/0.69 (define @t62 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.45/0.69 (define @t63 () (@list @t1 @t57 @t55 @t56 @t54)) % 0.45/0.69 (define @t64 () (tptp.c_HOL_Oabs__class_Oabs @t3 @t1)) % 0.45/0.69 (define @t65 () (= @t3 @t5)) % 0.45/0.69 (define @t66 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.45/0.69 (define @t67 () (@list @t1 @t3)) % 0.45/0.69 (define @t68 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.45/0.69 (define @t69 () (@list @t1 @t20)) % 0.45/0.69 (define @t70 () (@var "V_c" $$unsorted)) % 0.45/0.69 (define @t71 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 0.45/0.69 (define @t72 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.45/0.69 (define @t73 () (@list @t1 @t3 @t70 @t2)) % 0.45/0.69 (define @t74 () (= @t13 @t25)) % 0.45/0.69 (define @t75 () (@list @t13)) % 0.45/0.69 (define @t76 () (tptp.c_lessequals @t20 @t19 @t1)) % 0.45/0.69 (define @t77 () (not @t76)) % 0.45/0.69 (define @t78 () (tptp.c_lessequals @t19 @t20 @t1)) % 0.45/0.69 (define @t79 () (not @t78)) % 0.45/0.69 (define @t80 () (= @t20 @t19)) % 0.45/0.69 (define @t81 () (not (tptp.class_Orderings_Oorder @t1))) % 0.45/0.69 (define @t82 () (= @t3 @t2)) % 0.45/0.69 (define @t83 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 tptp.tc_nat))) % 0.45/0.69 (define @t84 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t3 tptp.tc_nat))) % 0.45/0.69 (define @t85 () (@list @t2 @t3)) % 0.45/0.69 (define @t86 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t19 @t20 tptp.tc_nat)) % 0.45/0.69 (define @t87 () (not @t86)) % 0.45/0.69 (define @t88 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t19 tptp.tc_nat))) % 0.45/0.69 (define @t89 () (@list @t20 @t19)) % 0.45/0.69 (define @t90 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t91 () (not @t90)) % 0.45/0.69 (define @t92 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t13 @t14 tptp.tc_nat))) % 0.45/0.69 (define @t93 () (= @t14 @t13)) % 0.45/0.69 (define @t94 () (@list @t19 @t20)) % 0.45/0.69 (define @t95 () (tptp.c_lessequals @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t96 () (not @t95)) % 0.45/0.69 (define @t97 () (tptp.c_lessequals @t13 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t98 () (not @t97)) % 0.45/0.69 (define @t99 () (tptp.c_lessequals @t5 @t3 @t1)) % 0.45/0.69 (define @t100 () (not @t99)) % 0.45/0.69 (define @t101 () (= @t64 @t3)) % 0.45/0.69 (define @t102 () (@var "V_z" $$unsorted)) % 0.45/0.69 (define @t103 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t19 @t102 tptp.tc_nat))) % 0.45/0.69 (define @t104 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t102 tptp.tc_nat)) % 0.45/0.69 (define @t105 () (@list @t20 @t102 @t19)) % 0.45/0.69 (define @t106 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t19 tptp.tc_nat)) % 0.45/0.69 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t25 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t108 () (not @t107)) % 0.45/0.69 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t25 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t110 () (@list @t20)) % 0.45/0.69 (define @t111 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 @t1)) % 0.45/0.69 (define @t112 () (not @t111)) % 0.45/0.69 (define @t113 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t70 @t1)) % 0.45/0.69 (define @t114 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t70 @t1)) % 0.45/0.69 (define @t115 () (tptp.c_Suc @t41)) % 0.45/0.69 (define @t116 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t117 () (tptp.c_Suc @t45)) % 0.45/0.69 (define @t118 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t119 () (tptp.c_HOL_Otimes__class_Otimes @t25 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t120 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t2 @t1)) % 0.45/0.69 (define @t121 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t3 @t1)) % 0.45/0.69 (define @t122 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.45/0.69 (define @t123 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t5 @t1)) % 0.45/0.69 (define @t124 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t125 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t126 () (tptp.c_lessequals @t125 @t124 tptp.tc_nat)) % 0.45/0.69 (define @t127 () (@list @t42 @t14 @t13)) % 0.45/0.69 (define @t128 () (@list @t14 @t13 @t42)) % 0.45/0.69 (define @t129 () (not (tptp.c_lessequals @t44 @t41 tptp.tc_nat))) % 0.45/0.69 (define @t130 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t131 () (tptp.c_HOL_Oplus__class_Oplus @t44 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t132 () (@list @t44 @t42 @t41)) % 0.45/0.69 (define @t133 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.45/0.69 (define @t134 () (not @t133)) % 0.45/0.69 (define @t135 () (tptp.c_HOL_Oplus__class_Oplus @t70 @t2 @t1)) % 0.45/0.69 (define @t136 () (tptp.c_HOL_Oplus__class_Oplus @t70 @t3 @t1)) % 0.45/0.69 (define @t137 () (tptp.c_lessequals @t136 @t135 @t1)) % 0.45/0.69 (define @t138 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.45/0.69 (define @t139 () (@list @t1 @t70 @t3 @t2)) % 0.45/0.69 (define @t140 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t70 @t1)) % 0.45/0.69 (define @t141 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t70 @t1)) % 0.45/0.69 (define @t142 () (tptp.c_lessequals @t141 @t140 @t1)) % 0.45/0.69 (define @t143 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.45/0.69 (define @t144 () (@list @t1 @t3 @t2 @t70)) % 0.45/0.69 (define @t145 () (tptp.c_HOL_Otimes__class_Otimes @t64 @t71 @t1)) % 0.45/0.69 (define @t146 () (tptp.c_HOL_Oabs__class_Oabs @t4 @t1)) % 0.45/0.69 (define @t147 () (= @t146 @t145)) % 0.45/0.69 (define @t148 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.45/0.69 (define @t149 () (tptp.c_lessequals @t5 @t2 @t1)) % 0.45/0.69 (define @t150 () (not @t149)) % 0.45/0.69 (define @t151 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 0.45/0.69 (define @t152 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t19 @t1)) % 0.45/0.69 (define @t153 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.45/0.69 (define @t154 () (tptp.c_Parity_Oeven__odd__class_Oeven @t20 tptp.tc_nat)) % 0.45/0.69 (define @t155 () (tptp.c_Suc @t26)) % 0.45/0.69 (define @t156 () (tptp.c_Divides_Odiv__class_Omod @t20 @t155 tptp.tc_nat)) % 0.45/0.69 (define @t157 () (= @t156 @t25)) % 0.45/0.69 (define @t158 () (not @t154)) % 0.45/0.69 (define @t159 () (tptp.c_Divides_Odiv__class_Omod @t3 @t2 @t1)) % 0.45/0.69 (define @t160 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 0.45/0.69 (define @t161 () (not (tptp.class_Divides_Osemiring__div @t1))) % 0.45/0.69 (define @t162 () (tptp.c_lessequals @t4 @t5 @t1)) % 0.45/0.69 (define @t163 () (not @t162)) % 0.45/0.69 (define @t164 () (not @t9)) % 0.45/0.69 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t4 @t5 @t1)) % 0.45/0.69 (define @t166 () (not @t109)) % 0.45/0.69 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t25 @t15 tptp.tc_nat)) % 0.45/0.69 (define @t168 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 0.45/0.69 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t168 @t5 @t1)) % 0.45/0.69 (define @t170 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.45/0.69 (define @t171 () (not @t169)) % 0.45/0.69 (define @t172 () (= @t2 @t5)) % 0.45/0.69 (define @t173 () (not (= @t4 @t5))) % 0.45/0.69 (define @t174 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.45/0.69 (define @t175 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.45/0.69 (define @t176 () (= @t14 @t25)) % 0.45/0.69 (define @t177 () (@var "V_u" $$unsorted)) % 0.45/0.69 (define @t178 () (tptp.c_HOL_Ominus__class_Ominus @t41 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t179 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t178 @t177 tptp.tc_nat) @t13 tptp.tc_nat)) % 0.45/0.69 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t41 @t177 tptp.tc_nat)) % 0.45/0.69 (define @t181 () (tptp.c_HOL_Oplus__class_Oplus @t180 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t44 @t177 tptp.tc_nat)) % 0.45/0.69 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t182 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t184 () (not (= @t183 @t181))) % 0.45/0.69 (define @t185 () (@list @t44 @t177 @t14 @t41 @t13)) % 0.45/0.69 (define @t186 () (tptp.c_HOL_Ominus__class_Ominus @t44 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t187 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t186 @t177 tptp.tc_nat) @t14 tptp.tc_nat)) % 0.45/0.69 (define @t188 () (not (tptp.c_lessequals @t41 @t44 tptp.tc_nat))) % 0.45/0.69 (define @t189 () (@var "V_xa" $$unsorted)) % 0.45/0.69 (define @t190 () (tptp.c_HOL_Otimes__class_Otimes @t155 @t189 tptp.tc_nat)) % 0.45/0.69 (define @t191 () (@list @t189)) % 0.45/0.69 (define @t192 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t193 () (tptp.c_Divides_Odiv__class_Omod @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t194 () (= @t193 (tptp.c_Divides_Odiv__class_Omod @t192 @t13 tptp.tc_nat))) % 0.45/0.69 (define @t195 () (= @t19 @t5)) % 0.45/0.69 (define @t196 () (not (tptp.c_lessequals @t5 @t20 @t1))) % 0.45/0.69 (define @t197 () (not (tptp.c_lessequals @t5 @t19 @t1))) % 0.45/0.69 (define @t198 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 @t1)) % 0.45/0.69 (define @t199 () (not (= @t198 @t5))) % 0.45/0.69 (define @t200 () (= @t20 @t5)) % 0.45/0.69 (define @t201 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t202 () (not (= @t201 @t25))) % 0.45/0.69 (define @t203 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t70 @t1)) % 0.45/0.69 (define @t204 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t70 @t1)) % 0.45/0.69 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t204 @t203 @t1)) % 0.45/0.69 (define @t206 () (not @t205)) % 0.45/0.69 (define @t207 () (not (tptp.c_lessequals @t5 @t70 @t1))) % 0.45/0.69 (define @t208 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.45/0.69 (define @t209 () (tptp.c_HOL_Otimes__class_Otimes @t70 @t2 @t1)) % 0.45/0.69 (define @t210 () (tptp.c_HOL_Otimes__class_Otimes @t70 @t3 @t1)) % 0.45/0.69 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t210 @t209 @t1)) % 0.45/0.69 (define @t212 () (not @t211)) % 0.45/0.69 (define @t213 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.45/0.69 (define @t214 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.45/0.69 (define @t215 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t13 @t1)) % 0.45/0.69 (define @t216 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t1)) % 0.45/0.69 (define @t217 () (@list @t1 @t14 @t13)) % 0.45/0.69 (define @t218 () (= @t14 @t26)) % 0.45/0.69 (define @t219 () (not (= @t15 @t26))) % 0.45/0.69 (define @t220 () (= @t13 @t26)) % 0.45/0.69 (define @t221 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t222 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 (tptp.c_Divides_Odiv__class_Omod @t14 @t13 @t1) @t1)) % 0.45/0.69 (define @t223 () (not @t222)) % 0.45/0.69 (define @t224 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t13 @t1))) % 0.45/0.69 (define @t225 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t14 @t1)) % 0.45/0.69 (define @t226 () (@list @t1 @t42 @t14 @t13)) % 0.45/0.69 (define @t227 () (not @t225)) % 0.45/0.69 (define @t228 () (@var "V_d" $$unsorted)) % 0.45/0.69 (define @t229 () (@var "V_e" $$unsorted)) % 0.45/0.69 (define @t230 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 0.45/0.69 (define @t231 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t230 @t229 @t1) @t228 @t1)) % 0.45/0.69 (define @t232 () (tptp.c_lessequals @t70 @t231 @t1)) % 0.45/0.69 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t229 @t1)) % 0.45/0.69 (define @t234 () (tptp.c_HOL_Oplus__class_Oplus @t233 @t228 @t1)) % 0.45/0.69 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t229 @t1)) % 0.45/0.69 (define @t236 () (tptp.c_HOL_Oplus__class_Oplus @t235 @t70 @t1)) % 0.45/0.69 (define @t237 () (tptp.c_lessequals @t236 @t234 @t1)) % 0.45/0.69 (define @t238 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.45/0.69 (define @t239 () (@list @t1 @t3 @t229 @t70 @t2 @t228)) % 0.45/0.69 (define @t240 () (not @t237)) % 0.45/0.69 (define @t241 () (@list @t1 @t70 @t2 @t3 @t229 @t228)) % 0.45/0.69 (define @t242 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1)) % 0.45/0.69 (define @t243 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t242 @t229 @t1) @t70 @t1)) % 0.45/0.69 (define @t244 () (tptp.c_lessequals @t243 @t228 @t1)) % 0.45/0.69 (define @t245 () (@list @t1 @t3 @t2 @t229 @t70 @t228)) % 0.45/0.69 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t247 () (not @t246)) % 0.45/0.69 (define @t248 () (tptp.c_lessequals @t16 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t249 () (not @t248)) % 0.45/0.69 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t13 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t251 () (tptp.c_lessequals @t18 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t252 () (@list @t13 @t14)) % 0.45/0.69 (define @t253 () (not @t251)) % 0.45/0.69 (define @t254 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.45/0.69 (define @t255 () (not @t254)) % 0.45/0.69 (define @t256 () (tptp.c_lessequals @t2 @t141 @t1)) % 0.45/0.69 (define @t257 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.45/0.69 (define @t258 () (@list @t1 @t2 @t3 @t70)) % 0.45/0.69 (define @t259 () (not (tptp.c_lessequals @t2 @t70 @t1))) % 0.45/0.69 (define @t260 () (tptp.c_lessequals @t44 @t45 tptp.tc_nat)) % 0.45/0.69 (define @t261 () (tptp.c_lessequals @t131 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t262 () (@list @t44 @t14)) % 0.45/0.69 (define @t263 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t20 tptp.tc_nat)) % 0.45/0.69 (define @t264 () (@list @t14 @t20)) % 0.45/0.69 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t14 @t179 tptp.tc_nat)) % 0.45/0.69 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t183 @t181 tptp.tc_nat)) % 0.45/0.69 (define @t267 () (not @t266)) % 0.45/0.69 (define @t268 () (@list @t14 @t41 @t44 @t177 @t13)) % 0.45/0.69 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t187 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t270 () (@list @t44 @t41 @t177 @t14 @t13)) % 0.45/0.69 (define @t271 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.45/0.69 (define @t272 () (@var "V_nat_H" $$unsorted)) % 0.45/0.69 (define @t273 () (tptp.c_Suc @t272)) % 0.45/0.69 (define @t274 () (@list @t272)) % 0.45/0.69 (define @t275 () (@list @t14)) % 0.45/0.69 (define @t276 () (not @t208)) % 0.45/0.69 (define @t277 () (not (tptp.c_HOL_Oord__class_Oless @t70 @t228 @t1))) % 0.45/0.69 (define @t278 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t228 @t1)) % 0.45/0.69 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t204 @t278 @t1)) % 0.45/0.69 (define @t280 () (@list @t1 @t3 @t70 @t2 @t228)) % 0.45/0.69 (define @t281 () (tptp.c_Divides_Odiv__class_Omod @t4 @t70 @t1)) % 0.45/0.69 (define @t282 () (tptp.c_Divides_Odiv__class_Omod @t3 @t70 @t1)) % 0.45/0.69 (define @t283 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t282 @t2 @t1) @t70 @t1)) % 0.45/0.69 (define @t284 () (tptp.c_lessequals @t20 @t102 @t1)) % 0.45/0.69 (define @t285 () (not @t284)) % 0.45/0.69 (define @t286 () (tptp.c_Orderings_Oord__class_Omin @t19 @t102 @t1)) % 0.45/0.69 (define @t287 () (tptp.c_lessequals @t20 @t286 @t1)) % 0.45/0.69 (define @t288 () (@list @t1 @t20 @t19 @t102)) % 0.45/0.69 (define @t289 () (tptp.c_lessequals @t20 @t3 @t1)) % 0.45/0.69 (define @t290 () (tptp.c_lessequals @t20 @t2 @t1)) % 0.45/0.69 (define @t291 () (tptp.c_Orderings_Oord__class_Omin @t3 @t2 @t1)) % 0.45/0.69 (define @t292 () (tptp.c_lessequals @t20 @t291 @t1)) % 0.45/0.69 (define @t293 () (@list @t1 @t20 @t3 @t2)) % 0.45/0.69 (define @t294 () (tptp.c_Orderings_Oord__class_Omin @t20 @t19 @t1)) % 0.45/0.69 (define @t295 () (not (tptp.class_Ring__and__Field_Odvd @t1))) % 0.45/0.69 (define @t296 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t25 tptp.tc_nat)) % 0.45/0.69 (define @t297 () (tptp.c_lessequals @t216 @t215 @t1)) % 0.45/0.69 (define @t298 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.45/0.69 (define @t299 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t102 @t1)) % 0.45/0.69 (define @t300 () (tptp.c_HOL_Oplus__class_Oplus @t152 @t299 @t1)) % 0.45/0.69 (define @t301 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t70 @t1)) % 0.45/0.69 (define @t302 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t228 @t1)) % 0.45/0.69 (define @t303 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t19 tptp.tc_nat)) % 0.45/0.69 (define @t304 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t102 tptp.tc_nat)) % 0.45/0.69 (define @t305 () (@list @t20 @t19 @t102)) % 0.45/0.69 (define @t306 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t70 tptp.tc_nat)) % 0.45/0.69 (define @t307 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t228 tptp.tc_nat)) % 0.45/0.69 (define @t308 () (tptp.c_HOL_Oabs__class_Oabs @t242 @t1)) % 0.45/0.69 (define @t309 () (tptp.c_HOL_Ominus__class_Ominus @t64 @t71 @t1)) % 0.45/0.69 (define @t310 () (@list @t1 @t3 @t2 @t70 @t228)) % 0.45/0.69 (define @t311 () (tptp.c_Suc @t193)) % 0.45/0.69 (define @t312 () (= @t311 @t13)) % 0.45/0.69 (define @t313 () (tptp.c_Divides_Odiv__class_Omod @t16 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t314 () (tptp.c_HOL_Oord__class_Oless @t25 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t315 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t316 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t317 () (tptp.c_lessequals @t316 @t315 tptp.tc_nat)) % 0.45/0.69 (define @t318 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t319 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t320 () (tptp.c_lessequals @t319 @t318 tptp.tc_nat)) % 0.45/0.69 (define @t321 () (@list @t14 @t42 @t13)) % 0.45/0.69 (define @t322 () (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t5 @t1) @t5)) % 0.45/0.69 (define @t323 () (not (tptp.c_lessequals @t5 @t5 @t1))) % 0.45/0.69 (define @t324 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t20 @t1)) % 0.45/0.69 (define @t325 () (tptp.c_HOL_Otimes__class_Otimes @t13 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t326 () (tptp.c_Divides_Odiv__class_Omod @t2 @t70 @t1)) % 0.45/0.69 (define @t327 () (tptp.c_Divides_Odiv__class_Omod @t31 @t70 @t1)) % 0.45/0.69 (define @t328 () (tptp.c_HOL_Oabs__class_Oabs @t5 @t1)) % 0.45/0.69 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t140 @t1)) % 0.45/0.69 (define @t330 () (tptp.c_HOL_Oplus__class_Oplus @t31 @t70 @t1)) % 0.45/0.69 (define @t331 () (= @t330 @t329)) % 0.45/0.69 (define @t332 () (not @t114)) % 0.45/0.69 (define @t333 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t203 @t1)) % 0.45/0.69 (define @t334 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t4 @t70 @t1))) % 0.45/0.69 (define @t335 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t70 @t1))) % 0.45/0.69 (define @t336 () (tptp.c_HOL_Oord__class_Oless @t2 @t141 @t1)) % 0.45/0.69 (define @t337 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t25 tptp.tc_nat)) % 0.45/0.69 (define @t338 () (@var "V_r" $$unsorted)) % 0.45/0.69 (define @t339 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t70 tptp.tc_nat)) % 0.45/0.69 (define @t340 () (@var "V_q" $$unsorted)) % 0.45/0.69 (define @t341 () (tptp.c_lessequals @t210 @t209 @t1)) % 0.45/0.69 (define @t342 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.45/0.69 (define @t343 () (tptp.c_lessequals @t204 @t203 @t1)) % 0.45/0.69 (define @t344 () (not (tptp.c_lessequals @t70 @t5 @t1))) % 0.45/0.69 (define @t345 () (= @t70 @t228)) % 0.45/0.69 (define @t346 () (not (= @t22 @t5))) % 0.45/0.69 (define @t347 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t348 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t349 () (@list @t42 @t44 @t41)) % 0.45/0.69 (define @t350 () (tptp.c_HOL_Otimes__class_Otimes @t41 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t351 () (tptp.c_HOL_Otimes__class_Otimes @t44 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t352 () (tptp.c_Suc @t42)) % 0.45/0.69 (define @t353 () (tptp.c_HOL_Otimes__class_Otimes @t352 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t354 () (tptp.c_HOL_Otimes__class_Otimes @t352 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t355 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.45/0.69 (define @t356 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t326 @t1) @t70 @t1)) % 0.45/0.69 (define @t357 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t282 @t2 @t1) @t70 @t1)) % 0.45/0.69 (define @t358 () (@var "V_D" $$unsorted)) % 0.45/0.69 (define @t359 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 @t358 @t1))) % 0.45/0.69 (define @t360 () (@var "V_t" $$unsorted)) % 0.45/0.69 (define @t361 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 (tptp.c_HOL_Oplus__class_Oplus @t20 @t360 @t1) @t1)) % 0.45/0.69 (define @t362 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t20 (tptp.c_HOL_Otimes__class_Otimes @t42 @t358 @t1) @t1) @t360 @t1) @t1)) % 0.45/0.69 (define @t363 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t1))) % 0.45/0.69 (define @t364 () (not (= @t201 @t26))) % 0.45/0.69 (define @t365 () (tptp.c_lessequals @t5 @t4 @t1)) % 0.45/0.69 (define @t366 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 0.45/0.69 (define @t367 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.45/0.69 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t60 @t56 @t1)) % 0.45/0.69 (define @t369 () (@list @t1 @t57 @t55 @t56)) % 0.45/0.69 (define @t370 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t59 @t1)) % 0.45/0.69 (define @t371 () (@list @t1 @t57 @t56 @t54)) % 0.45/0.69 (define @t372 () (= (tptp.c_HOL_Otimes__class_Otimes @t31 @t70 @t1) (tptp.c_HOL_Oplus__class_Oplus @t204 @t203 @t1))) % 0.45/0.69 (define @t373 () (tptp.c_HOL_Otimes__class_Otimes @t189 @t19 @t1)) % 0.45/0.69 (define @t374 () (tptp.c_HOL_Otimes__class_Otimes @t189 @t20 @t1)) % 0.45/0.69 (define @t375 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.45/0.69 (define @t376 () (@list @t1 @t189 @t20 @t19)) % 0.45/0.69 (define @t377 () (@var "V_b_H" $$unsorted)) % 0.45/0.69 (define @t378 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t377 @t1)) % 0.45/0.69 (define @t379 () (@list @t1 @t3 @t2 @t377)) % 0.45/0.69 (define @t380 () (@var "V_ya" $$unsorted)) % 0.45/0.69 (define @t381 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t380 @t1)) % 0.45/0.69 (define @t382 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t380 @t1)) % 0.45/0.69 (define @t383 () (@list @t1 @t20 @t19 @t380)) % 0.45/0.69 (define @t384 () (@var "V_a_H" $$unsorted)) % 0.45/0.69 (define @t385 () (tptp.c_HOL_Otimes__class_Otimes @t384 @t2 @t1)) % 0.45/0.69 (define @t386 () (@list @t1 @t3 @t384 @t2)) % 0.45/0.69 (define @t387 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t102 @t1)) % 0.45/0.69 (define @t388 () (tptp.c_HOL_Oord__class_Oless @t25 @t201 tptp.tc_nat)) % 0.45/0.69 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t5 @t168 @t1)) % 0.45/0.69 (define @t390 () (not @t365)) % 0.45/0.69 (define @t391 () (@var "V_l" $$unsorted)) % 0.45/0.69 (define @t392 () (not (tptp.c_lessequals @t42 @t391 tptp.tc_nat))) % 0.45/0.69 (define @t393 () (@list @t44 @t42 @t41 @t391)) % 0.45/0.69 (define @t394 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t395 () (not (tptp.c_lessequals @t70 @t228 @t1))) % 0.45/0.69 (define @t396 () (tptp.c_lessequals @t204 @t278 @t1)) % 0.45/0.69 (define @t397 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.45/0.69 (define @t398 () (tptp.c_Parity_Oeven__odd__class_Oeven @t19 tptp.tc_nat)) % 0.45/0.69 (define @t399 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 tptp.tc_nat)) % 0.45/0.69 (define @t400 () (tptp.c_Parity_Oeven__odd__class_Oeven @t399 tptp.tc_nat)) % 0.45/0.69 (define @t401 () (not @t398)) % 0.45/0.69 (define @t402 () (not @t400)) % 0.45/0.69 (define @t403 () (tptp.c_Parity_Oeven__odd__class_Oeven @t14 tptp.tc_nat)) % 0.45/0.69 (define @t404 () (not @t403)) % 0.45/0.69 (define @t405 () (tptp.c_Parity_Oeven__odd__class_Oeven @t13 tptp.tc_nat)) % 0.45/0.69 (define @t406 () (not @t405)) % 0.45/0.69 (define @t407 () (tptp.c_Parity_Oeven__odd__class_Oeven @t201 tptp.tc_nat)) % 0.45/0.69 (define @t408 () (not @t407)) % 0.45/0.69 (define @t409 () (tptp.c_lessequals @t14 @t18 tptp.tc_nat)) % 0.45/0.69 (define @t410 () (tptp.c_HOL_Oord__class_Oless @t5 @t70 @t1)) % 0.45/0.69 (define @t411 () (tptp.c_HOL_Oord__class_Oless @t70 @t5 @t1)) % 0.45/0.69 (define @t412 () (= @t156 @t26)) % 0.45/0.69 (define @t413 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t228 @t1)) % 0.45/0.69 (define @t414 () (tptp.c_HOL_Oplus__class_Oplus @t70 @t228 @t1)) % 0.45/0.69 (define @t415 () (@list @t1 @t13)) % 0.45/0.69 (define @t416 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t102 @t1)) % 0.45/0.69 (define @t417 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t418 () (= @t19 @t102)) % 0.45/0.69 (define @t419 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t102 tptp.tc_nat)) % 0.45/0.69 (define @t420 () (= @t2 @t70)) % 0.45/0.69 (define @t421 () (not (= @t31 @t141))) % 0.45/0.69 (define @t422 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.45/0.69 (define @t423 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t387 @t1)) % 0.45/0.69 (define @t424 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.45/0.69 (define @t425 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t102 tptp.tc_nat)) % 0.45/0.69 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t414 @t1)) % 0.45/0.69 (define @t427 () (@list @t1 @t3 @t70 @t228)) % 0.45/0.69 (define @t428 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t71 @t1)) % 0.45/0.69 (define @t429 () (tptp.c_lessequals @t20 @t19 tptp.tc_nat)) % 0.45/0.69 (define @t430 () (tptp.c_lessequals @t20 @t425 tptp.tc_nat)) % 0.45/0.69 (define @t431 () (not (tptp.c_lessequals @t116 @t13 tptp.tc_nat))) % 0.45/0.69 (define @t432 () (tptp.c_lessequals @t42 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t433 () (@list @t42 @t13 @t14)) % 0.45/0.69 (define @t434 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t435 () (@list @t44 @t41 @t14)) % 0.45/0.69 (define @t436 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t437 () (@list @t44 @t14 @t41)) % 0.45/0.69 (define @t438 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t439 () (not @t314)) % 0.45/0.69 (define @t440 () (not (= @t316 @t315))) % 0.45/0.69 (define @t441 () (tptp.c_HOL_Oord__class_Oless @t316 @t315 tptp.tc_nat)) % 0.45/0.69 (define @t442 () (not @t441)) % 0.45/0.69 (define @t443 () (tptp.c_HOL_Oord__class_Oless @t319 @t318 tptp.tc_nat)) % 0.45/0.69 (define @t444 () (not @t443)) % 0.45/0.69 (define @t445 () (not @t410)) % 0.45/0.69 (define @t446 () (not @t341)) % 0.45/0.69 (define @t447 () (not @t411)) % 0.45/0.69 (define @t448 () (not @t317)) % 0.45/0.69 (define @t449 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t2 @t1)) % 0.45/0.69 (define @t450 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t3 @t1)) % 0.45/0.69 (define @t451 () (tptp.c_Suc @t20)) % 0.45/0.69 (define @t452 () (not @t167)) % 0.45/0.69 (define @t453 () (not (tptp.c_lessequals @t22 @t5 @t1))) % 0.45/0.69 (define @t454 () (@list @t1 @t19 @t20)) % 0.45/0.69 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t354 @t353 tptp.tc_nat)) % 0.45/0.69 (define @t456 () (not @t432)) % 0.45/0.69 (define @t457 () (tptp.c_lessequals @t354 @t353 tptp.tc_nat)) % 0.45/0.69 (define @t458 () (tptp.c_HOL_Oord__class_Oless @t5 @t22 @t1)) % 0.45/0.69 (define @t459 () (@list @t1 @t14)) % 0.45/0.69 (define @t460 () (tptp.c_Parity_Oeven__odd__class_Oeven @t451 tptp.tc_nat)) % 0.45/0.69 (define @t461 () (tptp.c_Orderings_Oord__class_Omin @t14 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.45/0.69 (define @t463 () (not @t462)) % 0.45/0.69 (define @t464 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t41 tptp.tc_nat))) % 0.45/0.69 (define @t465 () (tptp.c_HOL_Oplus__class_Oplus @t315 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t466 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t204 @t203 @t1)) % 0.45/0.69 (define @t467 () (= @t70 @t5)) % 0.45/0.69 (define @t468 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t210 @t209 @t1)) % 0.45/0.69 (define @t469 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t316 @t315 tptp.tc_nat)) % 0.45/0.69 (define @t470 () (not @t469)) % 0.45/0.69 (define @t471 () (= @t42 @t25)) % 0.45/0.69 (define @t472 () (tptp.c_HOL_Oord__class_Oless @t5 @t31 @t1)) % 0.45/0.69 (define @t473 () (= (tptp.c_Divides_Odiv__class_Omod @t2 @t3 @t1) @t5)) % 0.45/0.69 (define @t474 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t13 tptp.tc_nat))) % 0.45/0.69 (define @t475 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t14 tptp.tc_nat))) % 0.45/0.69 (define @t476 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t18 tptp.tc_nat)) % 0.45/0.69 (define @t477 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t478 () (not (= @t26 @t201))) % 0.45/0.69 (define @t479 () (tptp.c_HOL_Oplus__class_Oplus @t25 @t26 tptp.tc_nat)) % 0.45/0.69 (define @t480 () (tptp.c_Orderings_Oord__class_Omin @t20 @t286 @t1)) % 0.45/0.69 (define @t481 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t102 @t20 tptp.tc_nat))) % 0.45/0.69 (define @t482 () (@list @t102 @t20 @t19)) % 0.45/0.69 (define @t483 () (= @t294 @t20)) % 0.45/0.69 (define @t484 () (tptp.c_lessequals @t26 @t15 tptp.tc_nat)) % 0.45/0.69 (define @t485 () (not @t484)) % 0.45/0.69 (define @t486 () (tptp.c_lessequals @t26 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t487 () (tptp.c_lessequals @t26 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t488 () (tptp.c_HOL_Oord__class_Oless @t14 @t18 tptp.tc_nat)) % 0.45/0.69 (define @t489 () (not @t488)) % 0.45/0.69 (define @t490 () (tptp.c_HOL_Oord__class_Oless @t20 @t451 tptp.tc_nat)) % 0.45/0.69 (define @t491 () (tptp.c_lessequals @t20 @t20 tptp.tc_nat)) % 0.45/0.69 (define @t492 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t391 tptp.tc_nat)) % 0.45/0.69 (define @t493 () (tptp.c_HOL_Ominus__class_Ominus @t183 @t181 tptp.tc_nat)) % 0.45/0.69 (define @t494 () (tptp.c_lessequals @t5 @t168 @t1)) % 0.45/0.69 (define @t495 () (= @t192 @t25)) % 0.45/0.69 (define @t496 () (not @t495)) % 0.45/0.69 (define @t497 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t192 tptp.tc_nat)) % 0.45/0.69 (define @t498 () (not @t497)) % 0.45/0.69 (define @t499 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t500 () (not @t499)) % 0.45/0.69 (define @t501 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t502 () (not @t501)) % 0.45/0.69 (define @t503 () (tptp.c_Suc @t201)) % 0.45/0.69 (define @t504 () (not (= @t236 @t234))) % 0.45/0.69 (define @t505 () (tptp.c_Parity_Oeven__odd__class_Oeven @t303 tptp.tc_nat)) % 0.45/0.69 (define @t506 () (not @t292)) % 0.45/0.69 (define @t507 () (tptp.c_lessequals @t291 @t20 @t1)) % 0.45/0.69 (define @t508 () (@list @t1 @t3 @t2 @t20)) % 0.45/0.69 (define @t509 () (tptp.c_lessequals @t294 @t102 @t1)) % 0.45/0.69 (define @t510 () (tptp.c_lessequals @t19 @t102 @t1)) % 0.45/0.69 (define @t511 () (not @t510)) % 0.45/0.69 (define @t512 () (not @t287)) % 0.45/0.69 (define @t513 () (@list @t1 @t20 @t102 @t19)) % 0.45/0.69 (define @t514 () (@var "V_nat" $$unsorted)) % 0.45/0.69 (define @t515 () (@list @t1 @t19 @t102 @t20)) % 0.45/0.69 (define @t516 () (not (= @t282 (tptp.c_Divides_Odiv__class_Omod @t384 @t70 @t1)))) % 0.45/0.69 (define @t517 () (not (= @t326 (tptp.c_Divides_Odiv__class_Omod @t377 @t70 @t1)))) % 0.45/0.69 (define @t518 () (@list @t1 @t2 @t70 @t377 @t3 @t384)) % 0.45/0.69 (define @t519 () (tptp.c_lessequals @t41 @t131 tptp.tc_nat)) % 0.45/0.69 (define @t520 () (tptp.c_lessequals @t45 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t521 () (@list @t41 @t42 @t44)) % 0.45/0.69 (define @t522 () (tptp.c_lessequals @t183 @t181 tptp.tc_nat)) % 0.45/0.69 (define @t523 () (not @t522)) % 0.45/0.69 (define @t524 () (tptp.c_lessequals @t187 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t525 () (tptp.c_lessequals @t14 @t179 tptp.tc_nat)) % 0.45/0.69 (define @t526 () (@var "V_w" $$unsorted)) % 0.45/0.69 (define @t527 () (= @t526 @t20)) % 0.45/0.69 (define @t528 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t5 @t1) @t3)) % 0.45/0.69 (define @t529 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.45/0.69 (define @t530 () (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t3 @t1) @t3)) % 0.45/0.69 (define @t531 () (tptp.c_HOL_Oord__class_Oless @t141 @t413 @t1)) % 0.45/0.69 (define @t532 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.45/0.69 (define @t533 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t1)) % 0.45/0.69 (define @t534 () (not @t533)) % 0.45/0.69 (define @t535 () (not (tptp.c_lessequals @t102 @t19 @t1))) % 0.45/0.69 (define @t536 () (tptp.c_HOL_Oord__class_Oless @t102 @t20 @t1)) % 0.45/0.69 (define @t537 () (@list @t1 @t102 @t20 @t19)) % 0.45/0.69 (define @t538 () (tptp.c_HOL_Oord__class_Oless @t102 @t19 @t1)) % 0.45/0.69 (define @t539 () (not @t538)) % 0.45/0.69 (define @t540 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t1)) % 0.45/0.69 (define @t541 () (not @t540)) % 0.45/0.69 (define @t542 () (tptp.c_HOL_Oord__class_Oless @t20 @t102 @t1)) % 0.45/0.69 (define @t543 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.45/0.69 (define @t544 () (tptp.c_HOL_Oord__class_Oless @t19 @t102 @t1)) % 0.45/0.69 (define @t545 () (not @t544)) % 0.45/0.69 (define @t546 () (tptp.c_HOL_Oord__class_Oless @t141 @t140 @t1)) % 0.45/0.69 (define @t547 () (tptp.c_HOL_Oord__class_Oless @t136 @t135 @t1)) % 0.45/0.69 (define @t548 () (tptp.c_HOL_Oord__class_Oless @t294 @t102 @t1)) % 0.45/0.69 (define @t549 () (tptp.c_HOL_Oord__class_Oless @t102 @t294 @t1)) % 0.45/0.69 (define @t550 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 @t1)) % 0.45/0.69 (define @t551 () (not @t550)) % 0.45/0.69 (define @t552 () (tptp.c_lessequals @t20 @t20 @t1)) % 0.45/0.69 (define @t553 () (not @t549)) % 0.45/0.69 (define @t554 () (tptp.c_HOL_Oord__class_Oless @t291 @t20 @t1)) % 0.45/0.69 (define @t555 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t450 @t1) @t338 @t1)) % 0.45/0.69 (define @t556 () (not @t555)) % 0.45/0.69 (define @t557 () (tptp.c_HOL_Oord__class_Oless @t20 (tptp.c_HOL_Oplus__class_Oplus @t3 @t338 @t1) @t1)) % 0.45/0.69 (define @t558 () (@list @t1 @t20 @t3 @t338)) % 0.45/0.69 (define @t559 () (tptp.c_HOL_Oord__class_Oless @t70 @t231 @t1)) % 0.45/0.69 (define @t560 () (tptp.c_HOL_Oord__class_Oless @t236 @t234 @t1)) % 0.45/0.69 (define @t561 () (not @t560)) % 0.45/0.69 (define @t562 () (tptp.c_HOL_Oord__class_Oless @t243 @t228 @t1)) % 0.45/0.69 (define @t563 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t3 @t338 @t1) @t20 @t1)) % 0.45/0.69 (define @t564 () (tptp.c_Divides_Odiv__class_Omod @t242 @t70 @t1)) % 0.45/0.69 (define @t565 () (not (tptp.class_Divides_Oring__div @t1))) % 0.45/0.69 (define @t566 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t102 @t1)) % 0.45/0.69 (define @t567 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.45/0.69 (define @t568 () (@var "V_x_H" $$unsorted)) % 0.45/0.69 (define @t569 () (@var "V_y_H" $$unsorted)) % 0.45/0.69 (define @t570 () (tptp.c_lessequals @t569 @t568 @t1)) % 0.45/0.69 (define @t571 () (tptp.c_HOL_Ominus__class_Ominus @t568 @t569 @t1)) % 0.45/0.69 (define @t572 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t19 @t1)) % 0.45/0.69 (define @t573 () (not (= @t572 @t571))) % 0.45/0.69 (define @t574 () (@list @t1 @t20 @t19 @t568 @t569)) % 0.45/0.69 (define @t575 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t1)) % 0.45/0.69 (define @t576 () (= @t575 @t5)) % 0.45/0.69 (define @t577 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.45/0.69 (define @t578 () (not (= @t242 @t5))) % 0.45/0.69 (define @t579 () (tptp.c_HOL_Oord__class_Oless @t125 @t124 tptp.tc_nat)) % 0.45/0.69 (define @t580 () (@list @t44 @t41)) % 0.45/0.69 (define @t581 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 tptp.tc_nat)) % 0.45/0.69 (define @t582 () (not @t581)) % 0.45/0.69 (define @t583 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t391 tptp.tc_nat))) % 0.45/0.69 (define @t584 () (tptp.c_HOL_Oord__class_Oless @t13 @t16 tptp.tc_nat)) % 0.45/0.69 (define @t585 () (not @t584)) % 0.45/0.69 (define @t586 () (= @t121 @t5)) % 0.45/0.69 (define @t587 () (= @t123 @t5)) % 0.45/0.69 (define @t588 () (= @t120 @t5)) % 0.45/0.69 (define @t589 () (@list @t1 @t2)) % 0.45/0.69 (define @t590 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.45/0.69 (define @t591 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t42 @t417 tptp.tc_nat)) % 0.45/0.69 (define @t592 () (@list @t42 @t13)) % 0.45/0.69 (define @t593 () (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oabs__class_Oabs @t14 @t1) @t42 @t1)) % 0.45/0.69 (define @t594 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t14 @t42 @t1)) % 0.45/0.69 (define @t595 () (@list @t1 @t14 @t42)) % 0.45/0.69 (define @t596 () (not @t594)) % 0.45/0.69 (define @t597 () (tptp.c_HOL_Oabs__class_Oabs @t42 @t1)) % 0.45/0.69 (define @t598 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t14 @t597 @t1)) % 0.45/0.69 (define @t599 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t600 () (tptp.c_lessequals @t242 @t5 @t1)) % 0.45/0.69 (define @t601 () (= (tptp.c_HOL_Oplus__class_Oplus @t13 @t192 tptp.tc_nat) @t14)) % 0.45/0.69 (define @t602 () (@var "V_xb" $$unsorted)) % 0.45/0.69 (define @t603 () (tptp.c_HOL_Oord__class_Oless @t5 @t215 @t1)) % 0.45/0.69 (define @t604 () (tptp.c_lessequals @t168 @t5 @t1)) % 0.45/0.69 (define @t605 () (= @t13 @t14)) % 0.45/0.69 (define @t606 () (tptp.c_lessequals @t18 @t16 tptp.tc_nat)) % 0.45/0.69 (define @t607 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 tptp.tc_nat)) % 0.45/0.69 (define @t608 () (tptp.c_HOL_Oord__class_Oless @t16 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t609 () (not (tptp.c_HOL_Oord__class_Oless @t41 @t42 tptp.tc_nat))) % 0.45/0.69 (define @t610 () (tptp.c_Suc @t44)) % 0.45/0.69 (define @t611 () (tptp.c_HOL_Oord__class_Oless @t20 @t425 tptp.tc_nat)) % 0.45/0.69 (define @t612 () (tptp.c_HOL_Oord__class_Oless @t16 @t18 tptp.tc_nat)) % 0.45/0.69 (define @t613 () (@list @t13 @t44)) % 0.45/0.69 (define @t614 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t44 tptp.tc_nat)) % 0.45/0.69 (define @t615 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t616 () (not (tptp.c_lessequals @t42 @t14 tptp.tc_nat))) % 0.45/0.69 (define @t617 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t618 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t619 () (tptp.c_lessequals @t618 @t617 tptp.tc_nat)) % 0.45/0.69 (define @t620 () (tptp.c_HOL_Ominus__class_Ominus @t391 @t14 tptp.tc_nat)) % 0.45/0.69 (define @t621 () (tptp.c_HOL_Ominus__class_Ominus @t391 @t13 tptp.tc_nat)) % 0.45/0.69 (define @t622 () (@list @t391 @t13 @t14)) % 0.45/0.69 (define @t623 () (tptp.c_HOL_Ominus__class_Ominus @t186 @t42 tptp.tc_nat)) % 0.45/0.69 (define @t624 () (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus @t20 @t19 tptp.tc_nat) tptp.tc_nat)) % 0.45/0.69 (define @t625 () (tptp.c_HOL_Oord__class_Oless @t242 @t5 @t1)) % 0.45/0.69 (define @t626 () (tptp.c_HOL_Oord__class_Oless @t216 @t215 @t1)) % 0.45/0.69 (define @t627 () (not @t624)) % 0.45/0.69 (define @t628 () (tptp.c_HOL_Oord__class_Oless @t44 @t45 tptp.tc_nat)) % 0.45/0.69 (define @t629 () (tptp.c_HOL_Oord__class_Oless @t131 @t41 tptp.tc_nat)) % 0.45/0.69 (define @t630 () (tptp.c_HOL_Oord__class_Oless @t618 @t617 tptp.tc_nat)) % 0.45/0.69 (define @t631 () (tptp.c_HOL_Oord__class_Oless @t25 @t615 tptp.tc_nat)) % 0.45/0.69 (define @t632 () (forall (@list @t41 @t13 @t42) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t41 @t13 tptp.tc_nat) @t42 tptp.tc_nat) @t609))) % 0.45/0.69 (define @t633 () (tptp.c_HOL_Oord__class_Oless @t568 @t569 @t1)) % 0.45/0.69 (define @t634 () (tptp.c_HOL_Oord__class_Oless tptp.v_i tptp.v_n tptp.tc_nat)) % 0.45/0.69 (define @t635 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i tptp.v_k tptp.tc_nat) tptp.v_n tptp.tc_nat)) % 0.45/0.69 (define @t636 () (not @t634)) % 0.45/0.69 (define @t637 () (or @t635 @t636)) % 0.45/0.69 (define @t638 () (not @t637)) % 0.45/0.69 (define @t639 () (@list true false)) % 0.45/0.69 (assume @p1 (forall @t11 (or @t10 @t9 @t8 (not @t6)))) % 0.45/0.69 (assume @p2 (forall @t11 (or @t10 @t9 @t8 (not (tptp.c_HOL_Oord__class_Oless @t5 @t12 @t1))))) % 0.45/0.69 (assume @p3 (forall @t17 (= (tptp.c_HOL_Otimes__class_Otimes @t16 @t13 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t13 @t15 tptp.tc_nat)))) % 0.45/0.69 (assume @p4 (forall @t17 (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t18 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t14 @t15 tptp.tc_nat)))) % 0.45/0.69 (assume @p5 (forall @t24 (or @t23 (not (tptp.c_HOL_Oord__class_Oless @t22 @t5 @t1))))) % 0.45/0.69 (assume @p6 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t26 @t26 tptp.tc_nat)) % 0.45/0.69 (assume @p7 (forall @t34 (or @t33 @t32 @t30 @t28))) % 0.45/0.69 (assume @p8 (forall @t34 (or @t33 @t32 @t37 @t36))) % 0.45/0.69 (assume @p9 (forall @t40 (or @t23 (tptp.c_lessequals @t39 @t5 @t1)))) % 0.45/0.69 (assume @p10 (forall @t49 (or (= @t48 @t46) @t43))) % 0.45/0.69 (assume @p11 (forall @t53 (or (= @t52 @t50) @t43))) % 0.45/0.69 (assume @p12 (forall @t63 (or @t62 (= @t61 (tptp.c_HOL_Otimes__class_Otimes @t58 (tptp.c_HOL_Otimes__class_Otimes @t55 @t54 @t1) @t1))))) % 0.45/0.69 (assume @p13 (forall @t63 (or @t62 (= @t61 (tptp.c_HOL_Otimes__class_Otimes @t57 (tptp.c_HOL_Otimes__class_Otimes @t55 @t59 @t1) @t1))))) % 0.45/0.69 (assume @p14 (forall @t63 (or @t62 (= @t61 (tptp.c_HOL_Otimes__class_Otimes @t56 (tptp.c_HOL_Otimes__class_Otimes @t60 @t54 @t1) @t1))))) % 0.45/0.69 (assume @p15 (forall @t67 (or @t66 @t65 (not (tptp.c_lessequals @t64 @t5 @t1))))) % 0.45/0.69 (assume @p16 (forall @t69 (or @t68 (= (tptp.c_Orderings_Oord__class_Omin @t20 @t20 @t1) @t20)))) % 0.45/0.69 (assume @p17 (forall @t73 (or @t72 (tptp.c_lessequals @t3 (tptp.c_HOL_Oplus__class_Oplus @t70 @t71 @t1) @t1) (not (tptp.c_lessequals @t31 @t70 @t1))))) % 0.45/0.69 (assume @p18 (forall @t75 (or @t74 (not (tptp.c_lessequals @t13 @t25 tptp.tc_nat))))) % 0.45/0.69 (assume @p19 (forall @t24 (or @t81 @t80 @t79 @t77))) % 0.45/0.69 (assume @p20 (forall @t85 (or @t84 @t83 @t82))) % 0.45/0.69 (assume @p21 (forall @t85 (or @t84 @t82 @t83))) % 0.45/0.69 (assume @p22 (forall @t89 (or @t80 @t88 @t87))) % 0.45/0.69 (assume @p23 (forall @t17 (or @t93 @t92 @t91))) % 0.45/0.69 (assume @p24 (forall @t94 (or @t87 @t80 @t88))) % 0.45/0.69 (assume @p25 (forall @t89 (or @t80 @t87 @t88))) % 0.45/0.69 (assume @p26 (forall @t17 (or @t93 @t98 @t96))) % 0.45/0.69 (assume @p27 (forall @t24 (or @t81 @t80 @t77 @t79))) % 0.45/0.69 (assume @p28 (forall @t67 (or @t66 @t101 @t100))) % 0.45/0.69 (assume @p29 (forall @t105 (or @t104 @t103 @t88))) % 0.45/0.69 (assume @p30 (forall @t105 (or @t104 @t106 @t103 @t86 @t88))) % 0.45/0.69 (assume @p31 (forall @t17 (or @t109 @t91 @t108))) % 0.45/0.69 (assume @p32 (forall @t110 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t20 tptp.tc_nat))) % 0.45/0.69 (assume @p33 (forall @t67 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t3 @t1)))) % 0.45/0.69 (assume @p34 (forall @t73 (or @t62 @t114 (not @t113) @t112))) % 0.45/0.69 (assume @p35 (forall (@list @t14 @t41 @t42) (or (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t117 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t116 @t115 tptp.tc_nat)) @t43))) % 0.45/0.69 (assume @p36 (forall @t17 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t119 @t118 tptp.tc_nat))) % 0.45/0.69 (assume @p37 (forall @t34 (or @t122 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t121 @t120 @t1)))) % 0.45/0.69 (assume @p38 (forall @t34 (or @t122 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t123 (tptp.c_HOL_Otimes__class_Otimes @t2 @t5 @t1) @t1)))) % 0.45/0.69 (assume @p39 (forall @t127 (or @t126 @t96))) % 0.45/0.69 (assume @p40 (forall @t128 (or @t95 (not @t126)))) % 0.45/0.69 (assume @p41 (forall @t132 (or (tptp.c_lessequals @t131 @t130 tptp.tc_nat) @t129))) % 0.45/0.69 (assume @p42 (forall @t139 (or @t138 @t137 @t134))) % 0.45/0.69 (assume @p43 (forall @t73 (or @t138 @t142 @t134))) % 0.45/0.69 (assume @p44 (forall @t144 (or @t143 @t133 (not @t137)))) % 0.45/0.69 (assume @p45 (forall @t139 (or @t143 @t137 @t134))) % 0.45/0.69 (assume @p46 (forall @t144 (or @t143 @t133 (not @t142)))) % 0.45/0.69 (assume @p47 (forall @t73 (or @t143 @t142 @t134))) % 0.45/0.69 (assume @p48 (forall @t34 (or @t148 @t147))) % 0.45/0.69 (assume @p49 (forall @t34 (or @t151 @t147 @t150 @t100))) % 0.45/0.69 (assume @p50 (forall @t34 (or @t151 @t147 @t30 @t100))) % 0.45/0.69 (assume @p51 (forall @t34 (or @t151 @t147 @t150 @t36))) % 0.45/0.69 (assume @p52 (forall @t34 (or @t151 @t147 @t30 @t36))) % 0.45/0.69 (assume @p53 (forall @t24 (or @t153 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t152 @t1) @t152)))) % 0.45/0.69 (assume @p54 (forall @t110 (or (not @t157) @t154))) % 0.45/0.69 (assume @p55 (forall @t110 (or @t157 @t158))) % 0.45/0.69 (assume @p56 (forall @t11 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t160 @t2 @t1) @t159)))) % 0.45/0.69 (assume @p57 (forall @t34 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t2 @t1) @t159)))) % 0.45/0.69 (assume @p58 (forall @t34 (or @t23 @t35 @t99 @t163))) % 0.45/0.69 (assume @p59 (forall @t11 (or @t23 @t149 @t99 @t163))) % 0.45/0.69 (assume @p60 (forall @t34 (or @t23 @t35 @t29 @t163))) % 0.45/0.69 (assume @p61 (forall @t11 (or @t23 @t149 @t29 @t163))) % 0.45/0.69 (assume @p62 (forall @t34 (or @t10 @t165 @t164 @t28))) % 0.45/0.69 (assume @p63 (forall @t34 (or @t10 @t165 @t37 @t8))) % 0.45/0.69 (assume @p64 (forall @t11 (or @t10 (tptp.c_HOL_Oord__class_Oless @t12 @t5 @t1) @t37 @t8))) % 0.45/0.69 (assume @p65 (forall @t34 (or @t10 @t6 @t164 @t8))) % 0.45/0.69 (assume @p66 (forall @t34 (or @t23 @t6 @t37 @t28))) % 0.45/0.69 (assume @p67 (forall @t17 (or @t167 @t108 @t166))) % 0.45/0.69 (assume @p68 (forall @t67 (or @t170 @t169 @t28))) % 0.45/0.69 (assume @p69 (forall @t67 (or @t170 @t27 @t171))) % 0.45/0.69 (assume @p70 (forall @t67 (or @t148 @t27 @t171))) % 0.45/0.69 (assume @p71 (forall @t67 (or @t148 @t169 @t28))) % 0.45/0.69 (assume @p72 (forall @t34 (or @t174 @t173 @t172 @t65))) % 0.45/0.69 (assume @p73 (forall @t34 (or @t175 @t173 @t172 @t65))) % 0.45/0.69 (assume @p74 (forall @t34 (or @t175 @t173 @t65 @t172))) % 0.45/0.69 (assume @p75 (forall @t17 (or (not (= @t15 @t25)) @t74 @t176))) % 0.45/0.69 (assume @p76 (forall @t185 (or @t184 @t129 (= @t14 @t179)))) % 0.45/0.69 (assume @p77 (forall @t185 (or @t184 @t188 (= @t187 @t13)))) % 0.45/0.69 (assume @p78 (forall @t191 (tptp.c_Parity_Oeven__odd__class_Oeven @t190 tptp.tc_nat))) % 0.45/0.69 (assume @p79 (forall @t17 (or @t194 @t98))) % 0.45/0.69 (assume @p80 (forall @t24 (or @t33 @t199 @t197 @t196 @t195))) % 0.45/0.69 (assume @p81 (forall @t24 (or @t33 @t199 @t197 @t196 @t200))) % 0.45/0.69 (assume @p82 (forall @t17 (or @t202 @t176))) % 0.45/0.69 (assume @p83 (forall @t17 (or @t202 @t74))) % 0.45/0.69 (assume @p84 (forall @t67 (or @t170 (not (= @t168 @t5)) @t65))) % 0.45/0.69 (assume @p85 (forall @t75 (= (tptp.c_Orderings_Oord__class_Omin @t25 @t13 tptp.tc_nat) @t25))) % 0.45/0.69 (assume @p86 (forall @t75 (= (tptp.c_Orderings_Oord__class_Omin @t13 @t25 tptp.tc_nat) @t25))) % 0.45/0.69 (assume @p87 (forall (@list @t41 @t44 @t177 @t14) (or @t188 (= @t183 (tptp.c_HOL_Oplus__class_Oplus @t180 @t187 tptp.tc_nat))))) % 0.45/0.69 (assume @p88 (forall @t144 (or @t10 @t208 @t207 @t206))) % 0.45/0.69 (assume @p89 (forall @t144 (or @t10 @t208 @t207 @t212))) % 0.45/0.69 (assume @p90 (forall @t144 (or @t213 @t208 @t207 @t206))) % 0.45/0.69 (assume @p91 (forall @t144 (or @t213 @t208 @t207 @t212))) % 0.45/0.69 (assume @p92 (forall (@list @t1 @t20 @t3) (or @t122 @t214 (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t3 @t1))) @t65))) % 0.45/0.69 (assume @p93 (forall (@list @t20 @t3) (or (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t3 tptp.tc_nat))) (= @t3 @t25)))) % 0.45/0.69 (assume @p94 (forall @t17 (or (not (= @t201 @t14)) @t74))) % 0.45/0.69 (assume @p95 (forall @t217 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t216 @t215)) @t93))) % 0.45/0.69 (assume @p96 (forall @t17 (or (tptp.c_lessequals @t193 @t13 tptp.tc_nat) @t108))) % 0.45/0.69 (assume @p97 (forall @t17 (or @t219 @t218))) % 0.45/0.69 (assume @p98 (forall @t17 (or @t219 @t220))) % 0.45/0.69 (assume @p99 (forall @t24 (or @t23 (tptp.c_lessequals @t5 @t22 @t1)))) % 0.45/0.69 (assume @p100 (forall @t17 (or (= @t221 (tptp.c_Suc @t192)) @t98))) % 0.45/0.69 (assume @p101 (forall @t226 (or @t161 @t225 @t224 @t223))) % 0.45/0.69 (assume @p102 (forall @t226 (or @t161 @t222 @t227 @t224))) % 0.45/0.69 (assume @p103 (forall @t226 (or @t161 @t225 @t223 @t224))) % 0.45/0.69 (assume @p104 (forall @t226 (or @t161 @t222 @t224 @t227))) % 0.45/0.69 (assume @p105 (forall @t239 (or @t238 @t237 (not @t232)))) % 0.45/0.69 (assume @p106 (forall @t241 (or @t238 @t232 @t240))) % 0.45/0.69 (assume @p107 (forall @t239 (or @t238 @t237 (not @t244)))) % 0.45/0.69 (assume @p108 (forall @t245 (or @t238 @t244 @t240))) % 0.45/0.69 (assume @p109 (forall @t17 (or @t248 @t247))) % 0.45/0.69 (assume @p110 (forall @t17 (or @t246 @t249))) % 0.45/0.69 (assume @p111 (forall @t252 (or @t251 (not @t250)))) % 0.45/0.69 (assume @p112 (forall @t252 (or @t250 @t253))) % 0.45/0.69 (assume @p113 (forall @t258 (or @t143 @t257 @t256 @t255 @t207))) % 0.45/0.69 (assume @p114 (forall @t258 (or @t143 @t257 @t256 @t259 @t100))) % 0.45/0.69 (assume @p115 (forall @t132 (or @t261 (not @t260) @t43))) % 0.45/0.69 (assume @p116 (forall @t53 (or @t260 (not @t261) @t43))) % 0.45/0.69 (assume @p117 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t44 @t14 tptp.tc_nat)) tptp.tc_nat))) % 0.45/0.69 (assume @p118 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t14 @t44 tptp.tc_nat)) tptp.tc_nat))) % 0.45/0.69 (assume @p119 (forall @t264 (tptp.c_HOL_Oord__class_Oless @t14 (tptp.c_Suc @t263) tptp.tc_nat))) % 0.45/0.69 (assume @p120 (forall @t185 (or @t266 (not @t265) @t129))) % 0.45/0.69 (assume @p121 (forall @t268 (or @t265 @t267 @t129))) % 0.45/0.69 (assume @p122 (forall @t185 (or @t266 (not @t269) @t188))) % 0.45/0.69 (assume @p123 (forall @t270 (or @t269 @t267 @t188))) % 0.45/0.69 (assume @p124 (forall (@list @t1 @t3 @t229 @t2 @t228) (or @t271 (= (tptp.c_HOL_Oplus__class_Oplus @t235 @t231 @t1) @t234)))) % 0.45/0.69 (assume @p125 (forall @t274 (not (= @t25 @t273)))) % 0.45/0.69 (assume @p126 (forall @t275 (not (= @t25 @t16)))) % 0.45/0.69 (assume @p127 (forall @t34 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t146 @t145 @t1)))) % 0.45/0.69 (assume @p128 (forall @t34 (or @t66 @t133 (not (tptp.c_lessequals @t64 @t2 @t1))))) % 0.45/0.69 (assume @p129 (forall @t280 (or @t10 @t279 @t207 @t164 @t277 @t276))) % 0.45/0.69 (assume @p130 (forall @t73 (or @t161 (= @t283 @t281)))) % 0.45/0.69 (assume @p131 (forall @t288 (or @t68 @t287 @t285 @t77))) % 0.45/0.69 (assume @p132 (forall @t293 (or @t68 @t292 (not @t290) (not @t289)))) % 0.45/0.69 (assume @p133 (forall @t24 (or @t68 (tptp.c_lessequals @t294 @t19 @t1)))) % 0.45/0.69 (assume @p134 (forall @t24 (or @t68 (tptp.c_lessequals @t294 @t20 @t1)))) % 0.45/0.69 (assume @p135 (forall (@list @t41 @t42 @t14) (or (= (tptp.c_HOL_Ominus__class_Ominus @t117 @t14 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t115 @t125 tptp.tc_nat)) @t43))) % 0.45/0.69 (assume @p136 (forall @t34 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t12 @t1)))) % 0.45/0.69 (assume @p137 (forall @t34 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t4 @t1)))) % 0.45/0.69 (assume @p138 (forall (@list @t1 @t2 @t42) (or @t295 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 (tptp.c_HOL_Otimes__class_Otimes @t2 @t42 @t1) @t1)))) % 0.45/0.69 (assume @p139 (= @t296 @t26)) % 0.45/0.69 (assume @p140 (forall @t217 (or @t298 @t297 @t96))) % 0.45/0.69 (assume @p141 (forall @t217 (or @t298 @t95 (not @t297)))) % 0.45/0.69 (assume @p142 (forall @t67 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t5 @t3 @t1) @t5)))) % 0.45/0.69 (assume @p143 (forall @t288 (or @t122 @t214 (= @t300 (tptp.c_HOL_Oplus__class_Oplus @t299 @t152 @t1))))) % 0.45/0.69 (assume @p144 (forall (@list @t1 @t20 @t70 @t228) (or @t122 @t214 (= (tptp.c_HOL_Oplus__class_Oplus @t301 @t302 @t1) (tptp.c_HOL_Oplus__class_Oplus @t302 @t301 @t1))))) % 0.45/0.69 (assume @p145 (forall @t305 (= (tptp.c_HOL_Oplus__class_Oplus @t303 @t304 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t304 @t303 tptp.tc_nat)))) % 0.45/0.69 (assume @p146 (forall (@list @t20 @t70 @t228) (= (tptp.c_HOL_Oplus__class_Oplus @t306 @t307 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t307 @t306 tptp.tc_nat)))) % 0.45/0.69 (assume @p147 (forall @t75 (or @t74 (not (tptp.c_HOL_Oord__class_Oless @t13 @t26 tptp.tc_nat))))) % 0.45/0.69 (assume @p148 (forall @t34 (or @t66 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t309 @t1) @t308 @t1)))) % 0.45/0.69 (assume @p149 (forall @t24 (or @t68 (= (tptp.c_Orderings_Oord__class_Omin @t20 @t294 @t1) @t294)))) % 0.45/0.69 (assume @p150 (forall @t310 (or @t148 (tptp.c_HOL_Oord__class_Oless @t145 (tptp.c_HOL_Otimes__class_Otimes @t70 @t228 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t71 @t228 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t64 @t70 @t1))))) % 0.45/0.69 (assume @p151 (forall @t17 (or (= @t313 @t311) @t312))) % 0.45/0.69 (assume @p152 (forall @t127 (or @t317 @t314))) % 0.45/0.69 (assume @p153 (forall @t321 (or @t320 @t314))) % 0.45/0.69 (assume @p154 (forall @t40 (or @t33 @t323 @t323 @t322))) % 0.45/0.69 (assume @p155 (forall @t24 (or @t62 (= @t152 @t324)))) % 0.45/0.69 (assume @p156 (= (tptp.c_HOL_Oplus__class_Oplus @t25 @t25 tptp.tc_nat) @t25)) % 0.45/0.69 (assume @p157 (forall @t40 (or @t170 @t322))) % 0.45/0.69 (assume @p158 (forall @t17 (= @t15 @t325))) % 0.45/0.69 (assume @p159 (forall @t34 (or @t62 (= @t4 @t12)))) % 0.45/0.69 (assume @p160 (forall @t144 (or @t161 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t282 @t326 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p161 (forall @t40 (or @t66 (= @t328 @t5)))) % 0.45/0.69 (assume @p162 (forall @t144 (or @t257 (= @t329 (tptp.c_HOL_Oplus__class_Oplus @t2 @t141 @t1))))) % 0.45/0.69 (assume @p163 (forall @t144 (or @t257 @t331))) % 0.45/0.69 (assume @p164 (forall @t144 (or @t62 @t333 @t332))) % 0.45/0.69 (assume @p165 (forall @t144 (or @t62 @t333 @t112))) % 0.45/0.69 (assume @p166 (forall @t73 (or @t62 @t114 @t334))) % 0.45/0.69 (assume @p167 (forall (@list @t1 @t2 @t70 @t3) (or @t62 @t113 @t334))) % 0.45/0.69 (assume @p168 (forall @t258 (or @t298 @t336 @t335 @t8))) % 0.45/0.69 (assume @p169 (forall @t17 (= @t337 (tptp.c_HOL_Otimes__class_Otimes @t13 @t25 tptp.tc_nat)))) % 0.45/0.69 (assume @p170 (forall @t17 (= @t119 @t118))) % 0.45/0.69 (assume @p171 (forall (@list @t2 @t340 @t70 @t338) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_Divides_Odiv__class_Omod @t340 @t70 tptp.tc_nat) tptp.tc_nat) @t338 tptp.tc_nat) @t339 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t338 @t2 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t25 @t70 tptp.tc_nat))))) % 0.45/0.69 (assume @p172 (forall @t139 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t341 @t207 @t134))) % 0.45/0.69 (assume @p173 (forall @t139 (or @t342 @t341 @t207 @t134))) % 0.45/0.69 (assume @p174 (forall @t73 (or @t342 @t343 @t207 @t134))) % 0.45/0.69 (assume @p175 (forall @t139 (or @t238 @t341 @t344 @t255))) % 0.45/0.69 (assume @p176 (forall @t73 (or @t238 @t343 @t344 @t255))) % 0.45/0.69 (assume @p177 (forall (@list @t20 @t338 @t70 @t228) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Otimes__class_Otimes @t338 @t70 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Otimes__class_Otimes @t338 @t228 tptp.tc_nat) tptp.tc_nat))) @t345 (= @t338 @t25)))) % 0.45/0.69 (assume @p178 (forall (@list @t1 @t20 @t338 @t70 @t228) (or @t122 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Otimes__class_Otimes @t338 @t70 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Otimes__class_Otimes @t338 @t228 @t1) @t1))) @t345 (= @t338 @t5)))) % 0.45/0.69 (assume @p179 (forall @t24 (or @t23 @t346 @t200))) % 0.45/0.69 (assume @p180 (forall @t24 (or @t23 @t346 @t195))) % 0.45/0.69 (assume @p181 (forall @t75 (not (= @t13 @t18)))) % 0.45/0.69 (assume @p182 (forall @t75 (not (= @t18 @t13)))) % 0.45/0.69 (assume @p183 (forall @t69 (or @t153 (= @t21 @t20)))) % 0.45/0.69 (assume @p184 (forall @t280 (or @t10 @t279 @t207 @t100 @t277 @t276))) % 0.45/0.69 (assume @p185 (forall @t321 (or @t320 @t96))) % 0.45/0.69 (assume @p186 (forall @t127 (or @t317 @t96))) % 0.45/0.69 (assume @p187 (forall @t349 (or (tptp.c_lessequals @t348 @t347 tptp.tc_nat) @t129))) % 0.45/0.69 (assume @p188 (forall @t132 (or (tptp.c_lessequals @t351 @t350 tptp.tc_nat) @t129))) % 0.45/0.69 (assume @p189 (forall @t127 (or (not (= @t354 @t353)) @t93))) % 0.45/0.69 (assume @p190 (forall @t217 (or @t355 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t201 @t1) (tptp.c_HOL_Oplus__class_Oplus @t216 @t215 @t1))))) % 0.45/0.69 (assume @p191 (forall @t144 (or @t161 (= @t356 @t327)))) % 0.45/0.69 (assume @p192 (forall @t73 (or @t161 (= @t357 @t327)))) % 0.45/0.69 (assume @p193 (forall (@list @t1 @t228 @t20 @t42 @t358 @t360) (or @t295 @t363 @t362 (not @t361) @t359))) % 0.45/0.69 (assume @p194 (forall (@list @t1 @t228 @t20 @t360 @t42 @t358) (or @t295 @t363 @t361 (not @t362) @t359))) % 0.45/0.69 (assume @p195 (forall @t17 (or @t364 @t176 @t74))) % 0.45/0.69 (assume @p196 (forall @t17 (or @t364 @t220 @t218))) % 0.45/0.69 (assume @p197 (forall @t34 (or @t238 @t365 @t150 @t100))) % 0.45/0.69 (assume @p198 (forall @t34 (or @t238 @t365 @t30 @t36))) % 0.45/0.69 (assume @p199 (forall @t67 (or @t23 (tptp.c_lessequals @t5 @t366 @t1)))) % 0.45/0.69 (assume @p200 (forall @t34 (or @t23 @t365 @t150 @t100))) % 0.45/0.69 (assume @p201 (forall @t34 (or @t23 @t365 @t30 @t36))) % 0.45/0.69 (assume @p202 (forall @t34 (or @t367 @t365 @t150 @t100))) % 0.45/0.69 (assume @p203 (forall @t34 (or @t66 (tptp.c_lessequals @t309 @t308 @t1)))) % 0.45/0.69 (assume @p204 (forall @t144 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t4 @t70 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t203 @t1))))) % 0.45/0.69 (assume @p205 (forall @t369 (or @t62 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t58 @t55 @t1))))) % 0.45/0.69 (assume @p206 (forall @t369 (or @t62 (= @t368 (tptp.c_HOL_Otimes__class_Otimes @t57 (tptp.c_HOL_Otimes__class_Otimes @t55 @t56 @t1) @t1))))) % 0.45/0.69 (assume @p207 (forall @t371 (or @t62 (= @t370 (tptp.c_HOL_Otimes__class_Otimes @t58 @t54 @t1))))) % 0.45/0.69 (assume @p208 (forall @t371 (or @t62 (= @t370 (tptp.c_HOL_Otimes__class_Otimes @t56 (tptp.c_HOL_Otimes__class_Otimes @t57 @t54 @t1) @t1))))) % 0.45/0.69 (assume @p209 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t42 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t14 @t318 tptp.tc_nat)))) % 0.45/0.69 (assume @p210 (forall @t288 (or @t62 (= (tptp.c_HOL_Otimes__class_Otimes @t20 (tptp.c_HOL_Otimes__class_Otimes @t19 @t102 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t152 @t102 @t1))))) % 0.45/0.69 (assume @p211 (forall @t144 (or @t62 @t372))) % 0.45/0.69 (assume @p212 (forall @t376 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t189 @t198 @t1) (tptp.c_HOL_Oplus__class_Oplus @t374 @t373 @t1))))) % 0.45/0.69 (assume @p213 (forall @t379 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Oplus__class_Oplus @t2 @t377 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t4 @t378 @t1))))) % 0.45/0.69 (assume @p214 (forall @t383 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t198 @t380 @t1) (tptp.c_HOL_Oplus__class_Oplus @t382 @t381 @t1))))) % 0.45/0.69 (assume @p215 (forall @t386 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t3 @t384 @t1) @t2 @t1) (tptp.c_HOL_Oplus__class_Oplus @t4 @t385 @t1))))) % 0.45/0.69 (assume @p216 (forall @t127 (= (tptp.c_HOL_Otimes__class_Otimes @t42 @t201 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t316 @t315 tptp.tc_nat)))) % 0.45/0.69 (assume @p217 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t201 @t42 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t319 @t318 tptp.tc_nat)))) % 0.45/0.69 (assume @p218 (forall @t288 (or @t62 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t387 @t1) @t300)))) % 0.45/0.69 (assume @p219 (forall @t144 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t372))) % 0.45/0.69 (assume @p220 (forall @t17 (or @t388 @t108))) % 0.45/0.69 (assume @p221 (forall @t17 (or @t388 @t166))) % 0.45/0.69 (assume @p222 (forall @t67 (or @t170 @t7 (not @t389)))) % 0.45/0.69 (assume @p223 (forall @t67 (or @t170 @t389 @t8))) % 0.45/0.69 (assume @p224 (forall @t34 (or @t23 @t35 @t99 @t390))) % 0.45/0.69 (assume @p225 (forall @t11 (or @t23 @t29 @t99 @t390))) % 0.45/0.69 (assume @p226 (forall @t34 (or @t23 @t35 @t149 @t390))) % 0.45/0.69 (assume @p227 (forall @t11 (or @t23 @t29 @t149 @t390))) % 0.45/0.69 (assume @p228 (forall @t40 (or @t23 (not (tptp.c_HOL_Oord__class_Oless @t5 @t39 @t1))))) % 0.45/0.69 (assume @p229 (forall (@list @t1 @t3 @t14 @t2) (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t14 @t1) (tptp.c_HOL_Otimes__class_Otimes @t2 @t14 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t31 @t14 @t1))))) % 0.45/0.69 (assume @p230 (forall @t393 (or (tptp.c_lessequals @t351 (tptp.c_HOL_Otimes__class_Otimes @t41 @t391 tptp.tc_nat) tptp.tc_nat) @t392 @t129))) % 0.45/0.69 (assume @p231 (forall @t275 (tptp.c_lessequals @t14 (tptp.c_HOL_Otimes__class_Otimes @t14 @t394 tptp.tc_nat) tptp.tc_nat))) % 0.45/0.69 (assume @p232 (forall @t280 (or @t397 @t396 @t207 @t150 @t395 @t134))) % 0.45/0.69 (assume @p233 (forall @t280 (or @t397 @t396 @t207 @t100 @t395 @t134))) % 0.45/0.69 (assume @p234 (forall @t89 (or @t400 @t398 @t154))) % 0.45/0.69 (assume @p235 (forall @t89 (or @t400 @t401 @t158))) % 0.45/0.69 (assume @p236 (forall @t89 (or @t158 @t398 @t402))) % 0.45/0.69 (assume @p237 (forall @t94 (or @t401 @t154 @t402))) % 0.45/0.69 (assume @p238 (forall @t17 (or @t407 @t406 @t404))) % 0.45/0.69 (assume @p239 (forall @t17 (or @t407 @t405 @t403))) % 0.45/0.69 (assume @p240 (forall @t17 (or @t403 @t406 @t408))) % 0.45/0.69 (assume @p241 (forall @t252 (or @t405 @t404 @t408))) % 0.45/0.69 (assume @p242 (forall @t17 (or @t408 @t405 @t404))) % 0.45/0.69 (assume @p243 (forall @t17 (or @t408 @t406 @t403))) % 0.45/0.69 (assume @p244 (forall @t17 (or @t403 @t405 @t407))) % 0.45/0.69 (assume @p245 (forall @t252 (or @t406 @t404 @t407))) % 0.45/0.69 (assume @p246 (forall @t17 (or (= @t14 @t18) @t95 (not @t409)))) % 0.45/0.69 (assume @p247 (forall @t139 (or @t23 @t411 @t410 @t212))) % 0.45/0.69 (assume @p248 (forall @t139 (or @t23 @t411 @t410 @t206))) % 0.45/0.69 (assume @p249 (forall @t144 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t140 @t1) @t332 @t112))) % 0.45/0.69 (assume @p250 (forall @t110 (or (not @t412) @t158))) % 0.45/0.69 (assume @p251 (forall @t110 (or @t412 @t154))) % 0.45/0.69 (assume @p252 (forall @t310 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t31 @t414 @t1) (tptp.c_HOL_Oplus__class_Oplus @t141 @t413 @t1))))) % 0.45/0.69 (assume @p253 (forall @t415 (or @t148 (= (tptp.c_HOL_Oabs__class_Oabs @t215 @t1) @t215)))) % 0.45/0.69 (assume @p254 (forall @t288 (or @t143 (= (tptp.c_HOL_Oplus__class_Oplus @t294 @t102 @t1) (tptp.c_Orderings_Oord__class_Omin @t416 @t387 @t1))))) % 0.45/0.69 (assume @p255 (forall @t321 (or (not (= @t116 @t417)) @t93))) % 0.45/0.69 (assume @p256 (forall @t127 (or (not (= @t125 @t124)) @t93))) % 0.45/0.69 (assume @p257 (forall @t305 (or (not (= @t399 @t419)) @t418))) % 0.45/0.69 (assume @p258 (forall @t288 (or @t122 @t214 (not (= @t198 @t416)) @t418))) % 0.45/0.69 (assume @p259 (forall @t144 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t421 @t420))) % 0.45/0.69 (assume @p260 (forall @t144 (or @t422 @t421 @t420))) % 0.45/0.69 (assume @p261 (forall @t258 (or @t422 (not (= @t160 @t136)) @t420))) % 0.45/0.69 (assume @p262 (forall @t67 (or @t23 (not (tptp.c_HOL_Oord__class_Oless @t366 @t5 @t1))))) % 0.45/0.69 (assume @p263 (forall @t288 (or @t62 (= @t423 (tptp.c_HOL_Oplus__class_Oplus @t198 @t102 @t1))))) % 0.45/0.69 (assume @p264 (forall @t288 (or @t424 (= @t423 (tptp.c_HOL_Oplus__class_Oplus @t19 @t416 @t1))))) % 0.45/0.69 (assume @p265 (forall @t128 (= (tptp.c_HOL_Oplus__class_Oplus @t201 @t42 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t14 @t417 tptp.tc_nat)))) % 0.45/0.69 (assume @p266 (forall @t305 (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t425 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t19 @t419 tptp.tc_nat)))) % 0.45/0.69 (assume @p267 (forall @t144 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t331))) % 0.45/0.69 (assume @p268 (forall @t427 (or @t62 (= @t426 (tptp.c_HOL_Oplus__class_Oplus @t141 @t228 @t1))))) % 0.45/0.69 (assume @p269 (forall @t144 (or @t62 (= @t330 (tptp.c_HOL_Oplus__class_Oplus @t141 @t2 @t1))))) % 0.45/0.69 (assume @p270 (forall @t427 (or @t62 (= @t426 (tptp.c_HOL_Oplus__class_Oplus @t70 (tptp.c_HOL_Oplus__class_Oplus @t3 @t228 @t1) @t1))))) % 0.45/0.69 (assume @p271 (forall @t144 (or @t62 @t331))) % 0.45/0.69 (assume @p272 (forall @t252 (or @t107 @t109 (not @t388)))) % 0.45/0.69 (assume @p273 (forall (@list @t42) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t26 @t42 tptp.tc_nat))) % 0.45/0.69 (assume @p274 (forall @t34 (or @t66 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t31 @t1) @t428 @t1)))) % 0.45/0.69 (assume @p275 (forall @t305 (or @t430 (not @t429)))) % 0.45/0.69 (assume @p276 (forall @t305 (or @t430 (not (tptp.c_lessequals @t20 @t102 tptp.tc_nat))))) % 0.45/0.69 (assume @p277 (forall @t128 (or @t95 @t431))) % 0.45/0.69 (assume @p278 (forall @t433 (or @t432 @t431))) % 0.45/0.69 (assume @p279 (forall @t435 (or (tptp.c_lessequals @t44 @t434 tptp.tc_nat) @t129))) % 0.45/0.69 (assume @p280 (forall @t437 (or (tptp.c_lessequals @t44 @t436 tptp.tc_nat) @t129))) % 0.45/0.69 (assume @p281 (forall @t191 (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Suc @t190) tptp.tc_nat)))) % 0.45/0.69 (assume @p282 (forall @t144 (or @t161 (= @t327 @t356)))) % 0.45/0.69 (assume @p283 (forall @t144 (or @t161 (= @t327 @t357)))) % 0.45/0.69 (assume @p284 (forall @t258 (or @t143 @t257 @t336 @t335 @t100))) % 0.45/0.69 (assume @p285 (forall @t252 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t438 tptp.tc_nat) @t25))) % 0.45/0.69 (assume @p286 (forall @t127 (or @t440 @t439 @t93))) % 0.45/0.69 (assume @p287 (forall @t127 (or @t314 @t442))) % 0.45/0.69 (assume @p288 (forall @t127 (or @t314 @t444))) % 0.45/0.69 (assume @p289 (forall @t144 (or @t10 @t133 @t445 (not @t343)))) % 0.45/0.69 (assume @p290 (forall @t144 (or @t10 @t133 @t445 @t446))) % 0.45/0.69 (assume @p291 (forall @t139 (or @t23 @t341 @t134 @t445))) % 0.45/0.69 (assume @p292 (forall @t144 (or @t23 @t133 @t446 @t445))) % 0.45/0.69 (assume @p293 (forall @t139 (or @t23 @t341 @t255 @t447))) % 0.45/0.69 (assume @p294 (forall @t258 (or @t23 @t254 @t446 @t447))) % 0.45/0.69 (assume @p295 (forall @t127 (or @t317 @t96 @t439))) % 0.45/0.69 (assume @p296 (forall @t128 (or @t95 @t448 @t439))) % 0.45/0.69 (assume @p297 (forall @t128 (or @t95 @t439 @t448))) % 0.45/0.69 (assume @p298 (forall @t128 (or @t95 @t439 (not @t320)))) % 0.45/0.69 (assume @p299 (forall @t110 (or (= @t20 @t26) (= @t20 @t25) (not (tptp.c_HOL_Oord__class_Oless @t20 @t155 tptp.tc_nat))))) % 0.45/0.69 (assume @p300 (forall (@list @t1 @t20 @t19 @t3 @t2) (or @t375 (= (tptp.c_HOL_Ominus__class_Ominus @t152 @t4 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t450 @t449 @t1) (tptp.c_HOL_Otimes__class_Otimes @t450 @t2 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t449 @t1) @t1))))) % 0.45/0.69 (assume @p301 (forall @t110 (tptp.c_HOL_Oord__class_Oless @t25 @t451 tptp.tc_nat))) % 0.45/0.69 (assume @p302 (forall @t75 (tptp.c_HOL_Oord__class_Oless @t25 @t18 tptp.tc_nat))) % 0.45/0.69 (assume @p303 (forall @t24 (or @t68 (= @t294 (tptp.c_Orderings_Oord__class_Omin @t19 @t20 @t1))))) % 0.45/0.69 (assume @p304 (forall (@list @t1 @t3 @t229 @t2 @t70) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t235 (tptp.c_HOL_Oplus__class_Oplus @t233 @t70 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t31 @t229 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p305 (forall (@list @t44 @t177 @t41 @t42) (= (tptp.c_HOL_Oplus__class_Oplus @t182 (tptp.c_HOL_Oplus__class_Oplus @t180 @t42 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t51 @t177 tptp.tc_nat) @t42 tptp.tc_nat)))) % 0.45/0.69 (assume @p306 (forall @t17 (or @t109 @t452))) % 0.45/0.69 (assume @p307 (forall @t252 (or @t107 @t452))) % 0.45/0.69 (assume @p308 (forall @t34 (or @t33 @t32 @t37 @t28))) % 0.45/0.69 (assume @p309 (forall @t454 (or @t23 @t195 @t453))) % 0.45/0.69 (assume @p310 (forall @t24 (or @t23 @t200 @t453))) % 0.45/0.69 (assume @p311 (forall @t75 (tptp.c_lessequals @t25 @t13 tptp.tc_nat))) % 0.45/0.69 (assume @p312 (forall @t128 (or @t246 (not @t455)))) % 0.45/0.69 (assume @p313 (forall @t127 (or @t455 @t247))) % 0.45/0.69 (assume @p314 (forall @t252 (or @t251 @t95))) % 0.45/0.69 (assume @p315 (forall @t17 (or @t96 @t253))) % 0.45/0.69 (assume @p316 (forall @t75 (or @t107 @t405))) % 0.45/0.69 (assume @p317 (forall @t17 (tptp.c_lessequals @t193 @t14 tptp.tc_nat))) % 0.45/0.69 (assume @p318 (forall @t128 (or (tptp.c_lessequals @t14 (tptp.c_HOL_Ominus__class_Ominus @t438 @t42 tptp.tc_nat) tptp.tc_nat) @t456))) % 0.45/0.69 (assume @p319 (forall @t17 (or (not @t312) (= @t313 @t25)))) % 0.45/0.69 (assume @p320 (forall @t67 (or @t66 @t101 @t8))) % 0.45/0.69 (assume @p321 (forall @t144 (or @t161 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t3 @t326 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p322 (forall @t144 (or @t161 (= @t281 @t283)))) % 0.45/0.69 (assume @p323 (forall @t17 (or @t364 @t176 @t218))) % 0.45/0.69 (assume @p324 (forall @t17 (or @t364 @t220 @t74))) % 0.45/0.69 (assume @p325 (forall @t128 (or @t95 (not @t457)))) % 0.45/0.69 (assume @p326 (forall @t127 (or @t457 @t96))) % 0.45/0.69 (assume @p327 (forall @t24 (or @t23 @t458 @t195))) % 0.45/0.69 (assume @p328 (forall @t24 (or @t23 @t458 @t200))) % 0.45/0.69 (assume @p329 (forall @t459 (or @t298 (not (tptp.c_HOL_Oord__class_Oless @t216 @t5 @t1))))) % 0.45/0.69 (assume @p330 (forall @t75 (tptp.c_lessequals @t18 @t18 tptp.tc_nat))) % 0.45/0.69 (assume @p331 (forall @t110 (or @t158 (not @t460)))) % 0.45/0.69 (assume @p332 (forall @t110 (or @t460 @t154))) % 0.45/0.69 (assume @p333 (forall @t275 (or @t218 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t14 @t26 tptp.tc_nat))))) % 0.45/0.69 (assume @p334 (forall @t275 (tptp.c_lessequals @t14 @t394 tptp.tc_nat))) % 0.45/0.69 (assume @p335 (forall @t17 (= (tptp.c_Orderings_Oord__class_Omin @t16 @t18 tptp.tc_nat) (tptp.c_Suc @t461)))) % 0.45/0.69 (assume @p336 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t193 @t42 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t319 @t318 tptp.tc_nat)))) % 0.45/0.69 (assume @p337 (forall @t127 (= (tptp.c_HOL_Otimes__class_Otimes @t42 @t193 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t316 @t315 tptp.tc_nat)))) % 0.45/0.69 (assume @p338 (forall @t139 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t211 @t445 @t276))) % 0.45/0.69 (assume @p339 (forall @t73 (or @t23 @t205 @t463 @t447))) % 0.45/0.69 (assume @p340 (forall @t73 (or @t23 @t205 @t276 @t445))) % 0.45/0.69 (assume @p341 (forall @t73 (or @t10 @t205 @t445 @t276))) % 0.45/0.69 (assume @p342 (forall @t73 (or @t23 @t205 @t447 @t463))) % 0.45/0.69 (assume @p343 (forall @t139 (or @t23 @t211 @t463 @t447))) % 0.45/0.69 (assume @p344 (forall @t139 (or @t23 @t211 @t276 @t445))) % 0.45/0.69 (assume @p345 (forall @t139 (or @t10 @t211 @t445 @t276))) % 0.45/0.69 (assume @p346 (forall @t139 (or @t23 @t211 @t447 @t463))) % 0.45/0.69 (assume @p347 (forall @t144 (or @t23 @t208 @t212 @t445))) % 0.45/0.69 (assume @p348 (forall @t258 (or @t23 @t462 @t212 @t447))) % 0.45/0.69 (assume @p349 (forall @t127 (or @t441 @t247 @t439))) % 0.45/0.69 (assume @p350 (forall @t128 (or @t246 @t442 @t439))) % 0.45/0.69 (assume @p351 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t351 @t350 tptp.tc_nat) @t439 @t464))) % 0.45/0.69 (assume @p352 (forall @t349 (or (tptp.c_HOL_Oord__class_Oless @t348 @t347 tptp.tc_nat) @t439 @t464))) % 0.45/0.69 (assume @p353 (forall @t321 (or @t443 @t247 @t439))) % 0.45/0.69 (assume @p354 (forall @t144 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t203 @t1) @t2 @t1) @t159)))) % 0.45/0.69 (assume @p355 (forall @t73 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t209 @t1) @t2 @t1) @t159)))) % 0.45/0.69 (assume @p356 (forall @t433 (= (tptp.c_Divides_Odiv__class_Omod @t465 @t13 tptp.tc_nat) @t193))) % 0.45/0.69 (assume @p357 (forall @t144 (or @t122 @t111 @t467 (not @t466)))) % 0.45/0.69 (assume @p358 (forall @t144 (or @t122 @t111 @t467 (not @t468)))) % 0.45/0.69 (assume @p359 (forall @t128 (or @t90 @t471 @t470))) % 0.45/0.69 (assume @p360 (forall @t34 (or @t23 @t162 @t30 @t100))) % 0.45/0.69 (assume @p361 (forall @t34 (or @t23 @t162 @t150 @t36))) % 0.45/0.69 (assume @p362 (forall @t34 (or @t367 @t162 @t30 @t100))) % 0.45/0.69 (assume @p363 (forall @t34 (or @t367 @t162 @t150 @t36))) % 0.45/0.69 (assume @p364 (forall @t11 (or @t367 (tptp.c_lessequals @t12 @t5 @t1) @t30 @t100))) % 0.45/0.69 (assume @p365 (forall @t40 (or @t66 (tptp.c_lessequals @t328 @t5 @t1)))) % 0.45/0.69 (assume @p366 (forall @t34 (or @t33 @t472 @t164 @t100))) % 0.45/0.69 (assume @p367 (forall @t34 (or @t33 @t472 @t150 @t8))) % 0.45/0.69 (assume @p368 (forall @t11 (or @t161 @t473 @t112))) % 0.45/0.69 (assume @p369 (forall @t11 (or @t161 (not @t473) @t111))) % 0.45/0.69 (assume @p370 (forall @t67 (or @t62 @t65 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t5 @t3 @t1))))) % 0.45/0.69 (assume @p371 (forall @t40 (or @t355 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t25 @t1) @t5)))) % 0.45/0.69 (assume @p372 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t26 @t15 tptp.tc_nat) @t475 @t474))) % 0.45/0.69 (assume @p373 (forall @t17 (= @t477 @t476))) % 0.45/0.69 (assume @p374 (forall @t17 (or @t478 @t220 @t74))) % 0.45/0.69 (assume @p375 (forall @t17 (or @t478 @t176 @t218))) % 0.45/0.69 (assume @p376 (= @t26 @t479)) % 0.45/0.69 (assume @p377 (forall @t288 (or @t68 (= (tptp.c_Orderings_Oord__class_Omin @t294 @t102 @t1) @t480)))) % 0.45/0.69 (assume @p378 (forall @t288 (or @t68 (= @t480 (tptp.c_Orderings_Oord__class_Omin @t19 (tptp.c_Orderings_Oord__class_Omin @t20 @t102 @t1) @t1))))) % 0.45/0.69 (assume @p379 (forall @t482 (or @t481 @t106 @t103 @t86 @t88))) % 0.45/0.69 (assume @p380 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t193 @t13 tptp.tc_nat) @t108))) % 0.45/0.69 (assume @p381 (forall @t24 (or @t68 @t483 @t77))) % 0.45/0.69 (assume @p382 (forall @t24 (or @t68 (not @t483) @t76))) % 0.45/0.69 (assume @p383 (forall @t24 (or @t68 (= @t294 @t19) @t79))) % 0.45/0.69 (assume @p384 (forall (@list @t1 @t20 @t19 @t102 @t177) (or @t424 (not (= @t423 (tptp.c_HOL_Oplus__class_Oplus @t19 @t177 @t1))) (= @t416 @t177)))) % 0.45/0.69 (assume @p385 (forall @t252 (or @t486 @t485))) % 0.45/0.69 (assume @p386 (forall @t17 (or @t487 @t485))) % 0.45/0.69 (assume @p387 (forall @t34 (or @t33 (tptp.c_lessequals @t5 @t31 @t1) @t150 @t100))) % 0.45/0.69 (assume @p388 (forall @t17 (or @t488 @t96))) % 0.45/0.69 (assume @p389 (forall @t17 (or @t95 @t489))) % 0.45/0.69 (assume @p390 (forall @t110 (or (not @t491) @t490))) % 0.45/0.69 (assume @p391 (forall @t393 (or (tptp.c_lessequals @t131 @t492 tptp.tc_nat) @t392 @t129))) % 0.45/0.69 (assume @p392 (forall @t280 (or @t138 (tptp.c_lessequals @t141 @t413 @t1) @t395 @t134))) % 0.45/0.69 (assume @p393 (forall @t185 (or (= @t493 (tptp.c_HOL_Ominus__class_Ominus @t187 @t13 tptp.tc_nat)) @t188))) % 0.45/0.69 (assume @p394 (forall @t185 (or (= @t493 (tptp.c_HOL_Ominus__class_Ominus @t14 @t179 tptp.tc_nat)) @t129))) % 0.45/0.69 (assume @p395 (forall @t67 (or @t170 @t99 (not @t494)))) % 0.45/0.69 (assume @p396 (forall @t67 (or @t170 @t494 @t100))) % 0.45/0.69 (assume @p397 (forall @t34 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t159 @t2 @t1) @t159)))) % 0.45/0.69 (assume @p398 (forall @t310 (or @t66 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t31 @t414 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t3 @t70 @t1) @t1) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t2 @t228 @t1) @t1) @t1) @t1)))) % 0.45/0.69 (assume @p399 (forall @t258 (or @t143 @t257 @t336 @t259 @t8))) % 0.45/0.69 (assume @p400 (forall @t17 (or @t495 @t96))) % 0.45/0.69 (assume @p401 (forall @t17 (or @t496 @t95))) % 0.45/0.69 (assume @p402 (forall @t433 (or @t501 @t98 @t500 @t498))) % 0.45/0.69 (assume @p403 (forall @t127 (or @t499 @t98 @t502 @t498))) % 0.45/0.69 (assume @p404 (forall (@list @t1 @t3 @t229 @t70 @t2) (or @t271 (= @t236 (tptp.c_HOL_Oplus__class_Oplus @t233 @t243 @t1))))) % 0.45/0.69 (assume @p405 (forall @t127 (or @t469 @t91))) % 0.45/0.69 (assume @p406 (forall @t139 (or @t122 @t468 @t112))) % 0.45/0.69 (assume @p407 (forall @t73 (or @t122 @t466 @t112))) % 0.45/0.69 (assume @p408 (forall @t67 (or @t66 (= (tptp.c_HOL_Oabs__class_Oabs @t64 @t1) @t64)))) % 0.45/0.69 (assume @p409 (forall @t17 (= @t477 @t503))) % 0.45/0.69 (assume @p410 (forall @t17 (= @t476 @t503))) % 0.45/0.69 (assume @p411 (forall @t239 (or @t271 @t504 (= @t243 @t228)))) % 0.45/0.69 (assume @p412 (forall @t239 (or @t271 @t504 (= @t70 @t231)))) % 0.45/0.69 (assume @p413 (forall @t67 (or @t66 (tptp.c_HOL_Oord__class_Oless @t5 @t64 @t1) @t65))) % 0.45/0.69 (assume @p414 (forall @t89 (or @t505 @t401))) % 0.45/0.69 (assume @p415 (forall @t89 (or @t505 @t158))) % 0.45/0.69 (assume @p416 (forall @t67 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t5 @t1) @t3)))) % 0.45/0.69 (assume @p417 (forall @t67 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t3 @t1) @t5)))) % 0.45/0.69 (assume @p418 (forall (@list @t1 @t3 @t70) (or @t62 (= @t141 @t136)))) % 0.45/0.69 (assume @p419 (forall @t17 (= @t201 @t438))) % 0.45/0.69 (assume @p420 (forall @t24 (or @t62 (= @t198 (tptp.c_HOL_Oplus__class_Oplus @t19 @t20 @t1))))) % 0.45/0.69 (assume @p421 (forall @t34 (or @t257 (= @t31 @t160)))) % 0.45/0.69 (assume @p422 (forall @t144 (or @t161 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t282 @t326 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p423 (forall @t321 (or (not (= @t319 @t318)) @t471 @t93))) % 0.45/0.69 (assume @p424 (forall @t127 (or @t440 @t471 @t93))) % 0.45/0.69 (assume @p425 (forall @t127 (or @t440 @t93 @t471))) % 0.45/0.69 (assume @p426 (forall @t293 (or @t68 @t289 @t506))) % 0.45/0.69 (assume @p427 (forall (@list @t1 @t20 @t2 @t3) (or @t68 @t290 @t506))) % 0.45/0.69 (assume @p428 (forall @t508 (or @t68 @t507 (not (tptp.c_lessequals @t3 @t20 @t1))))) % 0.45/0.69 (assume @p429 (forall @t508 (or @t68 @t507 (not (tptp.c_lessequals @t2 @t20 @t1))))) % 0.45/0.69 (assume @p430 (forall @t288 (or @t68 @t509 @t285))) % 0.45/0.69 (assume @p431 (forall @t288 (or @t68 @t509 @t511))) % 0.45/0.69 (assume @p432 (forall @t288 (or @t68 @t76 @t512))) % 0.45/0.69 (assume @p433 (forall @t513 (or @t68 @t284 @t512))) % 0.45/0.69 (assume @p434 (forall (@list @t514 @t272) (or (not (= (tptp.c_Suc @t514) @t273)) (= @t514 @t272)))) % 0.45/0.69 (assume @p435 (forall @t89 (or (not (= @t451 (tptp.c_Suc @t19))) @t80))) % 0.45/0.69 (assume @p436 (forall @t67 (or @t66 (tptp.c_lessequals @t3 @t64 @t1)))) % 0.45/0.69 (assume @p437 (forall @t515 (or @t68 @t510 @t284 (not @t509)))) % 0.45/0.69 (assume @p438 (forall (@list @t44 @t41 @t177 @t13) (or @t129 (= (tptp.c_HOL_Oplus__class_Oplus @t182 @t179 tptp.tc_nat) @t181)))) % 0.45/0.69 (assume @p439 (forall @t518 (or @t161 @t517 @t516 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t384 @t377 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p440 (tptp.c_HOL_Oord__class_Oless @t25 @t26 tptp.tc_nat)) % 0.45/0.69 (assume @p441 (forall @t17 (or @t478 @t176 @t74))) % 0.45/0.69 (assume @p442 (forall @t17 (or @t478 @t220 @t218))) % 0.45/0.69 (assume @p443 (forall @t521 (or @t520 (not @t519)))) % 0.45/0.69 (assume @p444 (forall @t49 (or @t519 (not @t520)))) % 0.45/0.69 (assume @p445 (tptp.c_Parity_Oeven__odd__class_Oeven @t25 tptp.tc_nat)) % 0.45/0.69 (assume @p446 (forall @t270 (or @t524 @t523 @t188))) % 0.45/0.69 (assume @p447 (forall @t185 (or @t522 (not @t524) @t188))) % 0.45/0.69 (assume @p448 (forall @t268 (or @t525 @t523 @t129))) % 0.45/0.69 (assume @p449 (forall @t185 (or @t522 (not @t525) @t129))) % 0.45/0.69 (assume @p450 (forall @t217 (or @t355 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1) (tptp.c_HOL_Otimes__class_Otimes @t216 @t215 @t1))))) % 0.45/0.69 (assume @p451 (forall @t433 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t465) @t13 tptp.tc_nat) @t313))) % 0.45/0.69 (assume @p452 (forall (@list @t3 @t70 @t2 @t228) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t70 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t2 @t228 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t228 tptp.tc_nat) @t339 tptp.tc_nat))) @t345 @t82))) % 0.45/0.69 (assume @p453 (forall (@list @t526 @t19 @t20 @t102) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t526 @t19 tptp.tc_nat) @t304 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t526 @t102 tptp.tc_nat) @t303 tptp.tc_nat))) @t418 @t527))) % 0.45/0.69 (assume @p454 (forall @t280 (or @t122 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus @t204 @t278 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t228 @t1) @t203 @t1))) @t345 @t82))) % 0.45/0.69 (assume @p455 (forall (@list @t1 @t526 @t19 @t20 @t102) (or @t122 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t526 @t19 @t1) @t299 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t526 @t102 @t1) @t152 @t1))) @t418 @t527))) % 0.45/0.69 (assume @p456 (forall @t67 (or @t148 (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t64 @t1) @t366)))) % 0.45/0.69 (assume @p457 (forall @t518 (or @t161 @t517 @t516 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t384 @t377 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p458 (forall @t459 (or @t298 (tptp.c_lessequals @t5 @t216 @t1)))) % 0.45/0.69 (assume @p459 (forall @t415 (or @t298 (tptp.c_lessequals @t5 @t215 @t1)))) % 0.45/0.69 (assume @p460 (forall @t67 (or @t529 @t528))) % 0.45/0.69 (assume @p461 (forall @t67 (or @t529 @t530))) % 0.45/0.69 (assume @p462 (forall @t67 (or @t257 @t528))) % 0.45/0.69 (assume @p463 (forall @t69 (or @t122 @t214 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t5 @t1))))) % 0.45/0.69 (assume @p464 (forall @t69 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t20 @t1) @t20)))) % 0.45/0.69 (assume @p465 (forall @t67 (or @t257 @t530))) % 0.45/0.69 (assume @p466 (forall @t110 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t25 tptp.tc_nat)))) % 0.45/0.69 (assume @p467 (forall @t275 (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t25 tptp.tc_nat) @t14))) % 0.45/0.69 (assume @p468 (forall @t75 (= (tptp.c_HOL_Oplus__class_Oplus @t25 @t13 tptp.tc_nat) @t13))) % 0.45/0.69 (assume @p469 (forall @t67 (or @t62 @t528))) % 0.45/0.69 (assume @p470 (forall @t67 (or @t62 @t530))) % 0.45/0.69 (assume @p471 (forall @t280 (or @t532 @t531 @t395 @t276))) % 0.45/0.69 (assume @p472 (forall @t280 (or @t532 @t531 @t277 @t134))) % 0.45/0.69 (assume @p473 (forall @t482 (or @t481 @t106 @t103 @t88))) % 0.45/0.69 (assume @p474 (forall @t482 (or @t481 @t103 @t86 @t88))) % 0.45/0.69 (assume @p475 (forall @t537 (or @t81 @t536 @t535 @t534))) % 0.45/0.69 (assume @p476 (forall @t537 (or @t81 @t536 @t539 @t79))) % 0.45/0.69 (assume @p477 (forall @t513 (or @t543 @t542 @t511 @t541))) % 0.45/0.69 (assume @p478 (forall @t513 (or @t543 @t542 @t545 @t77))) % 0.45/0.69 (assume @p479 (forall @t73 (or @t532 @t546 @t276))) % 0.45/0.69 (assume @p480 (forall @t73 (or @t143 @t546 @t276))) % 0.45/0.69 (assume @p481 (forall @t144 (or @t143 @t208 (not @t546)))) % 0.45/0.69 (assume @p482 (forall @t139 (or @t532 @t547 @t276))) % 0.45/0.69 (assume @p483 (forall @t139 (or @t143 @t547 @t276))) % 0.45/0.69 (assume @p484 (forall @t144 (or @t143 @t208 (not @t547)))) % 0.45/0.69 (assume @p485 (forall @t24 (or @t543 @t76 @t541))) % 0.45/0.69 (assume @p486 (forall @t24 (or @t81 @t76 @t541))) % 0.45/0.69 (assume @p487 (forall @t280 (or @t532 @t531 @t277 @t276))) % 0.45/0.69 (assume @p488 (forall @t24 (or @t543 @t540 @t78 @t77))) % 0.45/0.69 (assume @p489 (forall @t515 (or @t68 @t544 @t542 (not @t548)))) % 0.45/0.69 (assume @p490 (forall @t34 (or @t148 @t208 (not (tptp.c_HOL_Oord__class_Oless @t64 @t2 @t1))))) % 0.45/0.69 (assume @p491 (forall @t258 (or @t23 @t462 @t208 @t206))) % 0.45/0.69 (assume @p492 (forall @t258 (or @t23 @t462 @t208 @t212))) % 0.45/0.69 (assume @p493 (forall @t11 (or @t81 @t462 @t82 @t255))) % 0.45/0.69 (assume @p494 (forall @t11 (or @t81 @t462 @t255 @t82))) % 0.45/0.69 (assume @p495 (forall @t24 (or @t68 @t80 @t540 @t77))) % 0.45/0.69 (assume @p496 (forall @t24 (or @t68 @t80 @t77 @t540))) % 0.45/0.69 (assume @p497 (forall @t34 (or @t81 @t208 @t134 @t82))) % 0.45/0.69 (assume @p498 (forall @t34 (or @t81 @t208 @t82 @t134))) % 0.45/0.69 (assume @p499 (forall @t24 (or @t81 @t80 @t540 @t77))) % 0.45/0.69 (assume @p500 (forall @t24 (or @t81 @t540 @t80 @t77))) % 0.45/0.69 (assume @p501 (forall @t537 (or @t68 @t549 @t539 (not @t536)))) % 0.45/0.69 (assume @p502 (forall @t454 (or @t543 @t79 @t541))) % 0.45/0.69 (assume @p503 (forall @t24 (or @t68 @t540 @t78))) % 0.45/0.69 (assume @p504 (forall @t69 (or @t68 (not @t552) @t551))) % 0.45/0.69 (assume @p505 (forall @t69 (or @t68 @t550 @t552))) % 0.45/0.69 (assume @p506 (forall @t24 (or @t68 @t541 @t79))) % 0.45/0.69 (assume @p507 (forall @t454 (or @t68 @t78 @t540))) % 0.45/0.69 (assume @p508 (forall @t454 (or @t68 @t533 @t76))) % 0.45/0.69 (assume @p509 (forall @t24 (or @t68 @t77 @t534))) % 0.45/0.69 (assume @p510 (forall @t288 (or @t68 @t548 @t545))) % 0.45/0.69 (assume @p511 (forall @t288 (or @t68 @t548 (not @t542)))) % 0.45/0.69 (assume @p512 (forall (@list @t1 @t102 @t19 @t20) (or @t68 @t538 @t553))) % 0.45/0.69 (assume @p513 (forall @t537 (or @t68 @t536 @t553))) % 0.45/0.69 (assume @p514 (forall @t508 (or @t68 @t554 (not (tptp.c_HOL_Oord__class_Oless @t2 @t20 @t1))))) % 0.45/0.69 (assume @p515 (forall @t508 (or @t68 @t554 (not (tptp.c_HOL_Oord__class_Oless @t3 @t20 @t1))))) % 0.45/0.69 (assume @p516 (forall @t558 (or @t148 @t557 @t556))) % 0.45/0.69 (assume @p517 (forall @t239 (or @t238 @t560 (not @t559)))) % 0.45/0.69 (assume @p518 (forall @t241 (or @t238 @t559 @t561))) % 0.45/0.69 (assume @p519 (forall @t239 (or @t238 @t560 (not @t562)))) % 0.45/0.69 (assume @p520 (forall @t245 (or @t238 @t562 @t561))) % 0.45/0.69 (assume @p521 (forall @t558 (or @t148 @t555 (not @t557) (not @t563)))) % 0.45/0.69 (assume @p522 (forall @t518 (or @t565 @t517 @t516 (= @t564 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t384 @t377 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p523 (forall @t288 (or @t567 (= (tptp.c_HOL_Ominus__class_Ominus @t294 @t102 @t1) (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t20 @t102 @t1) @t566 @t1))))) % 0.45/0.69 (assume @p524 (forall @t144 (or @t565 (= @t564 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t3 @t326 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p525 (forall @t144 (or @t565 (= @t564 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t282 @t2 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p526 (forall @t144 (or @t565 (= @t564 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t282 @t326 @t1) @t70 @t1))))) % 0.45/0.69 (assume @p527 (forall @t34 (or @t66 (= @t308 (tptp.c_HOL_Oabs__class_Oabs @t230 @t1))))) % 0.45/0.69 (assume @p528 (forall @t574 (or @t567 @t573 @t570 @t79))) % 0.45/0.69 (assume @p529 (forall @t574 (or @t567 @t573 @t78 (not @t570)))) % 0.45/0.69 (assume @p530 (forall @t288 (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t1)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t566 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t102 @t1)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t19 @t1))))) % 0.45/0.69 (assume @p531 (forall @t69 (or @t424 @t576))) % 0.45/0.69 (assume @p532 (forall @t69 (or @t577 @t576))) % 0.45/0.69 (assume @p533 (forall @t67 (or @t577 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t5 @t1) @t3)))) % 0.45/0.69 (assume @p534 (forall @t67 (or @t577 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1) @t5)))) % 0.45/0.69 (assume @p535 (forall @t69 (or @t122 @t214 @t576))) % 0.45/0.69 (assume @p536 (forall @t34 (or @t577 (= (tptp.c_HOL_Oplus__class_Oplus @t242 @t2 @t1) @t3)))) % 0.45/0.69 (assume @p537 (forall @t34 (or @t424 @t578 @t82))) % 0.45/0.69 (assume @p538 (forall @t34 (or @t577 @t578 @t82))) % 0.45/0.69 (assume @p539 (forall @t24 (or @t122 @t214 (not (= @t572 @t5)) @t80))) % 0.45/0.69 (assume @p540 (forall @t376 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t189 @t572 @t1) (tptp.c_HOL_Ominus__class_Ominus @t374 @t373 @t1))))) % 0.45/0.69 (assume @p541 (forall @t379 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Ominus__class_Ominus @t2 @t377 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t4 @t378 @t1))))) % 0.45/0.69 (assume @p542 (forall @t386 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t3 @t384 @t1) @t2 @t1) (tptp.c_HOL_Ominus__class_Ominus @t4 @t385 @t1))))) % 0.45/0.69 (assume @p543 (forall @t383 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t572 @t380 @t1) (tptp.c_HOL_Ominus__class_Ominus @t382 @t381 @t1))))) % 0.45/0.69 (assume @p544 (forall @t280 (or @t424 (= (tptp.c_HOL_Ominus__class_Ominus @t141 @t413 @t1) (tptp.c_HOL_Oplus__class_Oplus @t242 (tptp.c_HOL_Ominus__class_Ominus @t70 @t228 @t1) @t1))))) % 0.45/0.69 (assume @p545 (forall @t34 (or @t577 (= (tptp.c_HOL_Ominus__class_Ominus @t31 @t2 @t1) @t3)))) % 0.45/0.69 (assume @p546 (forall @t127 (or @t579 @t247))) % 0.45/0.69 (assume @p547 (forall @t128 (or @t246 (not @t579)))) % 0.45/0.69 (assume @p548 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t131 @t130 tptp.tc_nat) @t464))) % 0.45/0.69 (assume @p549 (forall @t580 (not (tptp.c_HOL_Oord__class_Oless @t51 @t44 tptp.tc_nat)))) % 0.45/0.69 (assume @p550 (forall (@list @t41 @t44) (not (tptp.c_HOL_Oord__class_Oless @t47 @t44 tptp.tc_nat)))) % 0.45/0.69 (assume @p551 (not (tptp.c_HOL_Oord__class_Oless @t25 @t25 tptp.tc_nat))) % 0.45/0.69 (assume @p552 (forall @t75 (or @t107 @t74))) % 0.45/0.69 (assume @p553 (forall @t89 (or @t429 @t582))) % 0.45/0.69 (assume @p554 (forall @t17 (or @t95 @t247))) % 0.45/0.69 (assume @p555 (forall @t393 (or (tptp.c_HOL_Oord__class_Oless @t131 @t492 tptp.tc_nat) @t583 @t464))) % 0.45/0.69 (assume @p556 (forall @t17 (or @t93 @t246 @t489))) % 0.45/0.69 (assume @p557 (forall @t17 (or @t93 @t585 @t250))) % 0.45/0.69 (assume @p558 (forall @t110 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t25 tptp.tc_nat))) % 0.45/0.69 (assume @p559 (forall @t67 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t5 @t1)))) % 0.45/0.69 (assume @p560 (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t26 tptp.tc_nat) @t26)) % 0.45/0.69 (assume @p561 (forall @t67 (or @t62 @t586))) % 0.45/0.69 (assume @p562 (forall @t67 (or @t62 @t587))) % 0.45/0.69 (assume @p563 (forall (@list @t1 @t19) (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t19 @t1) @t5)))) % 0.45/0.69 (assume @p564 (forall @t589 (or @t375 @t588))) % 0.45/0.69 (assume @p565 (forall @t275 (= @t337 @t25))) % 0.45/0.69 (assume @p566 (forall @t75 (= @t118 @t25))) % 0.45/0.69 (assume @p567 (forall @t67 (or @t375 @t587))) % 0.45/0.69 (assume @p568 (forall @t69 (or @t375 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t5 @t1) @t5)))) % 0.45/0.69 (assume @p569 (forall @t69 (or @t62 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t20 @t1) @t5)))) % 0.45/0.69 (assume @p570 (forall @t67 (or @t590 @t586))) % 0.45/0.69 (assume @p571 (forall @t67 (or @t590 @t587))) % 0.45/0.69 (assume @p572 (forall @t589 (or @t174 @t588))) % 0.45/0.69 (assume @p573 (forall @t67 (or @t174 @t587))) % 0.45/0.69 (assume @p574 (forall @t53 (or (= (tptp.c_HOL_Ominus__class_Ominus @t44 @t45 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t131 @t41 tptp.tc_nat)) @t43))) % 0.45/0.69 (assume @p575 (forall @t275 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t26 tptp.tc_nat) @t25))) % 0.45/0.69 (assume @p576 (forall @t454 (or @t148 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t19 @t1) @t20 @t1) (tptp.c_HOL_Oabs__class_Oabs @t324 @t1)) @t196))) % 0.45/0.69 (assume @p577 (forall @t592 (or @t591 @t502))) % 0.45/0.69 (assume @p578 (forall @t592 (or @t501 (not @t591)))) % 0.45/0.69 (assume @p579 (forall @t595 (or @t148 @t594 (not @t593)))) % 0.45/0.69 (assume @p580 (forall @t595 (or @t148 @t593 @t596))) % 0.45/0.69 (assume @p581 (forall @t595 (or @t148 @t594 (not @t598)))) % 0.45/0.69 (assume @p582 (forall @t595 (or @t148 @t598 @t596))) % 0.45/0.69 (assume @p583 (= @t26 @t296)) % 0.45/0.69 (assume @p584 (forall (@list @t44 @t42) (or (not (tptp.c_lessequals @t44 @t599 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t599 @t44 tptp.tc_nat) @t42)))) % 0.45/0.69 (assume @p585 (forall @t34 (or @t33 @t472 @t164 @t8))) % 0.45/0.69 (assume @p586 (forall (@list @t42 @t20) (tptp.c_lessequals @t42 (tptp.c_HOL_Oplus__class_Oplus @t42 @t20 tptp.tc_nat) tptp.tc_nat))) % 0.45/0.69 (assume @p587 (forall @t264 (tptp.c_lessequals @t14 @t263 tptp.tc_nat))) % 0.45/0.69 (assume @p588 (forall @t252 (tptp.c_lessequals @t13 @t201 tptp.tc_nat))) % 0.45/0.69 (assume @p589 (forall @t252 (tptp.c_lessequals @t13 @t438 tptp.tc_nat))) % 0.45/0.69 (assume @p590 (forall @t252 (or @t92 @t247 @t166))) % 0.45/0.69 (assume @p591 (forall @t34 (or @t567 @t600 @t134))) % 0.45/0.69 (assume @p592 (forall @t34 (or @t567 @t133 (not @t600)))) % 0.45/0.69 (assume @p593 (forall @t275 (not (= @t16 @t25)))) % 0.45/0.69 (assume @p594 (forall @t274 (not (= @t273 @t25)))) % 0.45/0.69 (assume @p595 (forall @t67 (or @t66 (not (tptp.c_HOL_Oord__class_Oless @t64 @t5 @t1))))) % 0.45/0.69 (assume @p596 (forall @t17 (or (= (tptp.c_HOL_Oplus__class_Oplus @t192 @t13 tptp.tc_nat) @t14) @t98))) % 0.45/0.69 (assume @p597 (forall @t252 (or @t601 @t98))) % 0.45/0.69 (assume @p598 (forall @t580 (or @t129 (= @t41 (tptp.c_HOL_Oplus__class_Oplus @t178 @t44 tptp.tc_nat))))) % 0.45/0.69 (assume @p599 (forall @t128 (or @t90 @t439 @t470))) % 0.45/0.69 (assume @p600 (forall @t128 (or @t90 @t470 @t439))) % 0.45/0.69 (assume @p601 (forall @t127 (or @t469 @t91 @t439))) % 0.45/0.69 (assume @p602 (forall @t521 (or (= @t46 @t48) @t43))) % 0.45/0.69 (assume @p603 (forall @t53 (or (= @t50 @t52) @t43))) % 0.45/0.69 (assume @p604 (forall (@list @t20 @t13 @t189 @t19 @t602) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Otimes__class_Otimes @t13 @t189 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t19 (tptp.c_HOL_Otimes__class_Otimes @t13 @t602 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t20 @t13 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t19 @t13 tptp.tc_nat))))) % 0.45/0.69 (assume @p605 (forall @t415 (or @t298 @t107 (not @t603)))) % 0.45/0.69 (assume @p606 (forall @t415 (or @t298 @t603 @t108))) % 0.45/0.69 (assume @p607 (forall @t280 (or @t10 @t279 @t207 @t8 @t277 @t134))) % 0.45/0.69 (assume @p608 (forall @t280 (or @t10 @t279 @t445 @t100 @t395 @t276))) % 0.45/0.69 (assume @p609 (forall @t34 (or @t66 (tptp.c_lessequals @t308 @t428 @t1)))) % 0.45/0.69 (assume @p610 (forall @t17 (or @t409 @t96))) % 0.45/0.69 (assume @p611 (forall @t17 (or @t95 @t249))) % 0.45/0.69 (assume @p612 (forall @t252 (or (tptp.c_HOL_Oord__class_Oless @t13 @t325 tptp.tc_nat) @t475 @t474))) % 0.45/0.69 (assume @p613 (forall @t252 (or (tptp.c_HOL_Oord__class_Oless @t13 @t15 tptp.tc_nat) @t475 @t474))) % 0.45/0.69 (assume @p614 (forall @t75 (not (tptp.c_lessequals @t18 @t13 tptp.tc_nat)))) % 0.45/0.69 (assume @p615 (forall @t144 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t159 @t70 @t1) @t282) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t70 @t2 @t1))))) % 0.45/0.69 (assume @p616 (forall @t67 (or @t170 @t35 (not @t604)))) % 0.45/0.69 (assume @p617 (forall @t67 (or @t170 @t604 @t36))) % 0.45/0.69 (assume @p618 (forall @t67 (or @t68 @t72 @t101 @t27))) % 0.45/0.69 (assume @p619 (forall @t67 (or (not (tptp.class_Ring__and__Field_Oabs__if @t1)) @t101 @t27))) % 0.45/0.69 (assume @p620 (forall @t280 (or @t62 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t204 @t278 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t70 @t228 @t1)) @t112))) % 0.45/0.69 (assume @p621 (tptp.c_lessequals @t25 @t25 tptp.tc_nat)) % 0.45/0.69 (assume @p622 (forall @t34 (or @t66 (= (tptp.c_HOL_Oabs__class_Oabs @t428 @t1) @t428)))) % 0.45/0.69 (assume @p623 (forall @t17 (= @t313 (tptp.c_Divides_Odiv__class_Omod @t311 @t13 tptp.tc_nat)))) % 0.45/0.69 (assume @p624 (forall @t67 (or @t66 (not (= @t64 @t5)) @t65))) % 0.45/0.69 (assume @p625 (forall @t40 (or @t66 (not (tptp.c_HOL_Oord__class_Oless @t5 @t328 @t1))))) % 0.45/0.69 (assume @p626 (forall @t17 (or @t484 (not @t486) (not @t487)))) % 0.45/0.69 (assume @p627 (forall @t69 (or @t543 @t552))) % 0.45/0.69 (assume @p628 (forall @t69 (or @t81 @t552))) % 0.45/0.69 (assume @p629 (forall @t110 @t491)) % 0.45/0.69 (assume @p630 (forall @t132 (or (tptp.c_lessequals @t44 @t42 tptp.tc_nat) (not (tptp.c_lessequals @t41 @t42 tptp.tc_nat)) @t129))) % 0.45/0.69 (assume @p631 (forall @t75 (tptp.c_lessequals @t13 @t13 tptp.tc_nat))) % 0.45/0.69 (assume @p632 (forall (@list @t1 @t3 @t2 @t228 @t70) (or @t567 (tptp.c_lessequals @t3 @t413 @t1) @t395 (not (tptp.c_lessequals @t3 @t140 @t1))))) % 0.45/0.69 (assume @p633 (forall @t513 (or @t543 @t284 @t511 @t77))) % 0.45/0.69 (assume @p634 (forall @t34 (or @t33 (tptp.c_lessequals @t31 @t5 @t1) @t30 @t36))) % 0.45/0.69 (assume @p635 (forall @t537 (or @t81 (tptp.c_lessequals @t102 @t20 @t1) @t535 @t79))) % 0.45/0.69 (assume @p636 (forall @t94 (or @t398 @t154 (not @t505)))) % 0.45/0.69 (assume @p637 (= @t479 @t26)) % 0.45/0.69 (assume @p638 (forall (@list @t228 @t20) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t228 @t20 tptp.tc_nat) @t228 tptp.tc_nat) @t25))) % 0.45/0.69 (assume @p639 (forall @t11 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t2 @t1) @t5)))) % 0.45/0.69 (assume @p640 (forall @t34 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t4 @t2 @t1) @t5)))) % 0.45/0.70 (assume @p641 (forall @t252 (or @t605 @t585 @t96))) % 0.45/0.70 (assume @p642 (forall @t40 (or @t23 (= @t39 @t5)))) % 0.45/0.70 (assume @p643 (forall @t258 (or @t23 @t462 @t410 @t212))) % 0.45/0.70 (assume @p644 (forall @t139 (or @t23 @t411 @t208 @t212))) % 0.45/0.70 (assume @p645 (forall @t258 (or @t23 @t462 @t410 @t206))) % 0.45/0.70 (assume @p646 (forall @t139 (or @t23 @t411 @t208 @t206))) % 0.45/0.70 (assume @p647 (forall @t139 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t210 @t209 @t1) (tptp.c_HOL_Otimes__class_Otimes @t70 @t159 @t1))))) % 0.45/0.70 (assume @p648 (forall @t73 (or @t161 (= (tptp.c_Divides_Odiv__class_Omod @t204 @t203 @t1) (tptp.c_HOL_Otimes__class_Otimes @t159 @t70 @t1))))) % 0.45/0.70 (assume @p649 (forall @t592 (or @t432 @t108 @t502))) % 0.45/0.70 (assume @p650 (forall @t67 (or @t66 (tptp.c_lessequals @t5 @t64 @t1)))) % 0.45/0.70 (assume @p651 (forall @t252 (or @t606 @t98))) % 0.45/0.70 (assume @p652 (forall @t252 (or @t97 (not @t606)))) % 0.45/0.70 (assume @p653 (forall (@list @t1 @t391 @t42) (or @t148 (not (= (tptp.c_HOL_Oabs__class_Oabs @t391 @t1) @t597)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t391 @t42 @t1)))) % 0.45/0.70 (assume @p654 (forall @t454 (or @t68 @t78 @t76))) % 0.45/0.70 (assume @p655 (forall @t105 (or @t104 @t103 @t86 @t88))) % 0.45/0.70 (assume @p656 (forall @t105 (or @t104 @t106 @t103 @t88))) % 0.45/0.70 (assume @p657 (forall @t252 (or @t97 @t95))) % 0.45/0.70 (assume @p658 (forall @t252 (or @t605 @t585 @t250))) % 0.45/0.70 (assume @p659 (forall (@list @t14 @t391 @t42 @t13) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t391 tptp.tc_nat) @t124)) @t583 @t246))) % 0.45/0.70 (assume @p660 (forall @t75 (not (tptp.c_HOL_Oord__class_Oless @t13 @t25 tptp.tc_nat)))) % 0.45/0.70 (assume @p661 (forall @t275 (not (tptp.c_HOL_Oord__class_Oless @t14 @t25 tptp.tc_nat)))) % 0.45/0.70 (assume @p662 (forall @t252 (or @t584 @t246))) % 0.45/0.70 (assume @p663 (forall @t17 (or @t247 @t585))) % 0.45/0.70 (assume @p664 (forall @t110 (or @t607 @t490))) % 0.45/0.70 (assume @p665 (forall @t17 (or @t246 @t93 @t96))) % 0.45/0.70 (assume @p666 (forall @t17 (or @t93 @t246 @t96))) % 0.45/0.70 (assume @p667 (forall @t17 (or @t246 (not @t608)))) % 0.45/0.70 (assume @p668 (forall @t17 (or @t488 @t247))) % 0.45/0.70 (assume @p669 (forall @t128 (or @t246 @t442))) % 0.45/0.70 (assume @p670 (forall @t128 (or @t246 @t444))) % 0.45/0.70 (assume @p671 (forall @t75 (tptp.c_HOL_Oord__class_Oless @t13 @t18 tptp.tc_nat))) % 0.45/0.70 (assume @p672 (forall @t110 @t490)) % 0.45/0.70 (assume @p673 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t610 @t42 tptp.tc_nat) @t609 @t464))) % 0.45/0.70 (assume @p674 (forall @t17 (or (= @t193 @t14) @t247))) % 0.45/0.70 (assume @p675 (forall @t305 (or @t611 @t582))) % 0.45/0.70 (assume @p676 (forall @t305 (or @t611 (not (tptp.c_HOL_Oord__class_Oless @t20 @t102 tptp.tc_nat))))) % 0.45/0.70 (assume @p677 (forall @t132 (or (tptp.c_HOL_Oord__class_Oless @t44 @t42 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t51 @t42 tptp.tc_nat))))) % 0.45/0.70 (assume @p678 (forall @t435 (or (tptp.c_HOL_Oord__class_Oless @t44 @t434 tptp.tc_nat) @t464))) % 0.45/0.70 (assume @p679 (forall @t437 (or (tptp.c_HOL_Oord__class_Oless @t44 @t436 tptp.tc_nat) @t464))) % 0.45/0.70 (assume @p680 (forall @t17 (or @t608 (= @t16 @t13) @t247))) % 0.45/0.70 (assume @p681 (forall @t17 (or @t612 @t247))) % 0.45/0.70 (assume @p682 (forall @t17 (or @t246 (not @t612)))) % 0.45/0.70 (assume @p683 (forall (@list @t20 @t13) (or (tptp.c_HOL_Oord__class_Oless @t451 @t18 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t20 @t13 tptp.tc_nat))))) % 0.45/0.70 (assume @p684 (forall @t217 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t192 @t1) (tptp.c_HOL_Ominus__class_Ominus @t216 @t215 @t1)) @t98))) % 0.45/0.70 (assume @p685 (forall @t613 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t13 @t610 tptp.tc_nat) @t13 tptp.tc_nat) @t108))) % 0.45/0.70 (assume @p686 (forall @t75 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t13 @t26 tptp.tc_nat)) @t13) @t108))) % 0.45/0.70 (assume @p687 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t18 tptp.tc_nat) @t192))) % 0.45/0.70 (assume @p688 (forall @t127 (= (tptp.c_HOL_Ominus__class_Ominus @t125 @t124 tptp.tc_nat) @t192))) % 0.45/0.70 (assume @p689 (forall @t321 (= (tptp.c_HOL_Ominus__class_Ominus @t116 @t417 tptp.tc_nat) @t192))) % 0.45/0.70 (assume @p690 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t221 @t352 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t192 @t42 tptp.tc_nat)))) % 0.45/0.70 (assume @p691 (forall @t613 (or (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t614 tptp.tc_nat) @t44) (not (tptp.c_lessequals @t44 @t13 tptp.tc_nat))))) % 0.45/0.70 (assume @p692 (forall (@list @t14 @t44 @t13) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t14 @t44 tptp.tc_nat) @t614 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t461 @t44 tptp.tc_nat)))) % 0.45/0.70 (assume @p693 (forall @t252 (or (not (= @t615 @t25)) @t496 @t93))) % 0.45/0.70 (assume @p694 (forall @t127 (or @t497 @t502 @t500))) % 0.45/0.70 (assume @p695 (forall @t275 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t14 tptp.tc_nat) @t25))) % 0.45/0.70 (assume @p696 (forall @t275 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t25 tptp.tc_nat) @t14))) % 0.45/0.70 (assume @p697 (forall @t128 (or @t95 (not @t619) @t456 @t616))) % 0.45/0.70 (assume @p698 (forall @t321 (or @t619 @t96 @t456 @t616))) % 0.45/0.70 (assume @p699 (forall (@list @t14 @t391 @t13) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t14 @t391 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t13 @t391 tptp.tc_nat) tptp.tc_nat) @t96))) % 0.45/0.70 (assume @p700 (forall @t622 (or (tptp.c_lessequals @t621 @t620 tptp.tc_nat) @t96))) % 0.45/0.70 (assume @p701 (forall @t53 (= @t623 (tptp.c_HOL_Ominus__class_Ominus @t44 @t130 tptp.tc_nat)))) % 0.45/0.70 (assume @p702 (forall @t321 (or (not (= @t618 @t617)) @t456 @t616 @t93))) % 0.45/0.70 (assume @p703 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t13 tptp.tc_nat) @t25))) % 0.45/0.70 (assume @p704 (forall @t89 (or @t624 @t398 @t154))) % 0.45/0.70 (assume @p705 (forall @t89 (or @t624 @t401 @t158))) % 0.45/0.70 (assume @p706 (forall @t17 (tptp.c_lessequals @t192 @t14 tptp.tc_nat))) % 0.45/0.70 (assume @p707 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t192 @t42 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t319 @t318 tptp.tc_nat)))) % 0.45/0.70 (assume @p708 (forall @t127 (= (tptp.c_HOL_Otimes__class_Otimes @t42 @t192 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t316 @t315 tptp.tc_nat)))) % 0.45/0.70 (assume @p709 (forall @t321 (or (= (tptp.c_HOL_Ominus__class_Ominus @t618 @t617 tptp.tc_nat) @t192) @t456 @t616))) % 0.45/0.70 (assume @p710 (forall @t252 (= (tptp.c_HOL_Ominus__class_Ominus @t438 @t13 tptp.tc_nat) @t14))) % 0.45/0.70 (assume @p711 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t201 @t13 tptp.tc_nat) @t14))) % 0.45/0.70 (assume @p712 (forall @t34 (or @t567 @t208 (not @t625)))) % 0.45/0.70 (assume @p713 (forall @t34 (or @t567 @t625 @t276))) % 0.45/0.70 (assume @p714 (forall (@list @t1 @t3 @t338 @t20) (or @t148 @t563 @t556))) % 0.45/0.70 (assume @p715 (forall @t217 (or @t298 @t626 @t247))) % 0.45/0.70 (assume @p716 (forall @t217 (or @t298 @t246 (not @t626)))) % 0.45/0.70 (assume @p717 (forall @t252 (or @t601 @t246))) % 0.45/0.70 (assume @p718 (forall @t17 (or (tptp.c_HOL_Oord__class_Oless @t192 @t14 tptp.tc_nat) @t166 @t108))) % 0.45/0.70 (assume @p719 (forall @t89 (or @t158 @t398 @t581 @t627))) % 0.45/0.70 (assume @p720 (forall @t94 (or @t401 @t154 @t581 @t627))) % 0.45/0.70 (assume @p721 (forall @t132 (or @t629 (not @t628)))) % 0.45/0.70 (assume @p722 (forall @t53 (or @t628 (not @t629)))) % 0.45/0.70 (assume @p723 (forall @t128 (or @t246 (not @t630) @t456 @t616))) % 0.45/0.70 (assume @p724 (forall @t321 (or @t630 @t247 @t456 @t616))) % 0.45/0.70 (assume @p725 (forall @t17 (tptp.c_HOL_Oord__class_Oless @t192 @t16 tptp.tc_nat))) % 0.45/0.70 (assume @p726 (forall @t17 (or @t246 (not @t631)))) % 0.45/0.70 (assume @p727 (forall @t252 (or @t631 @t247))) % 0.45/0.70 (assume @p728 (forall @t17 (or @t194 @t246))) % 0.45/0.70 (assume @p729 (forall (@list @t3 @t70 @t2) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t3 @t70 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t2 @t70 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t70 @t3 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat))))) % 0.45/0.70 (assume @p730 (forall @t89 (or @t624 @t582))) % 0.45/0.70 (assume @p731 (forall @t34 (or @t81 @t276 @t463))) % 0.45/0.70 (assume @p732 (forall @t24 (or @t68 @t541 @t534))) % 0.45/0.70 (assume @p733 (forall @t11 (or @t543 @t463 @t276))) % 0.45/0.70 (assume @p734 (forall @t454 (or @t543 @t534 @t541))) % 0.45/0.70 (assume @p735 (forall @t69 (or @t543 @t551))) % 0.45/0.70 (assume @p736 (forall @t69 (or @t68 @t551))) % 0.45/0.70 (assume @p737 (forall @t110 (not @t607))) % 0.45/0.70 (assume @p738 (forall @t75 (not (tptp.c_HOL_Oord__class_Oless @t13 @t13 tptp.tc_nat)))) % 0.45/0.70 (assume @p739 (forall @t69 (or @t81 @t551))) % 0.45/0.70 (assume @p740 @t632) % 0.45/0.70 (assume @p741 (forall @t622 (or (tptp.c_HOL_Oord__class_Oless @t621 @t620 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t14 @t391 tptp.tc_nat)) @t247))) % 0.45/0.70 (assume @p742 (forall @t574 (or @t567 @t573 @t633 @t541))) % 0.45/0.70 (assume @p743 (forall @t574 (or @t567 @t573 @t540 (not @t633)))) % 0.45/0.70 (assume @p744 (forall @t454 (or @t148 @t533 @t540 @t80))) % 0.45/0.70 (assume @p745 (forall @t24 (or @t68 @t80 @t533 @t540))) % 0.45/0.70 (assume @p746 (forall @t24 (or @t68 @t80 @t540 @t533))) % 0.45/0.70 (assume @p747 (forall @t454 (or @t68 @t533 @t80 @t540))) % 0.45/0.70 (assume @p748 (forall @t252 (or @t250 @t246 @t93))) % 0.45/0.70 (assume @p749 (forall @t94 (or (tptp.c_HOL_Oord__class_Oless @t19 @t20 tptp.tc_nat) @t581 @t80))) % 0.45/0.70 (assume @p750 (forall @t454 (or @t68 @t533 @t540 @t80))) % 0.45/0.70 (assume @p751 @t634) % 0.45/0.70 (assume @p752 (forall @t537 (or @t81 @t536 @t539 @t534))) % 0.45/0.70 (assume @p753 (forall @t513 (or @t543 @t542 @t545 @t541))) % 0.45/0.70 (assume @p754 (forall (@list @t1 @t20 @t568 @t569) (or @t424 (not (= @t575 @t571)) (= @t568 @t569)))) % 0.45/0.70 (assume @p755 (forall (@list @t1 @t189 @t19 @t20) (or @t424 (not (= (tptp.c_HOL_Ominus__class_Ominus @t189 @t19 @t1) @t575)) (= @t189 @t19)))) % 0.45/0.70 (assume @p756 (forall @t53 (= @t623 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t44 @t42 tptp.tc_nat) @t41 tptp.tc_nat)))) % 0.45/0.70 (assume @p757 (not @t635)) % 0.45/0.70 (assume @p758 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.45/0.70 (assume @p759 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.45/0.70 (assume @p760 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.45/0.70 (assume @p761 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.45/0.70 (assume @p762 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.45/0.70 (assume @p763 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.45/0.70 (assume @p764 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.45/0.70 (assume @p765 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.45/0.70 (assume @p766 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.45/0.70 (assume @p767 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.45/0.70 (assume @p768 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.45/0.70 (assume @p769 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.45/0.70 (assume @p770 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.45/0.70 (assume @p771 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.45/0.70 (assume @p772 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.45/0.70 (assume @p773 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.45/0.70 (assume @p774 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.45/0.70 (assume @p775 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.45/0.70 (assume @p776 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.45/0.70 (assume @p777 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.45/0.70 (assume @p778 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.45/0.70 (assume @p779 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.45/0.70 (assume @p780 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.45/0.70 (assume @p781 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.45/0.70 (assume @p782 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.45/0.70 (assume @p783 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.45/0.70 (assume @p784 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.45/0.70 (assume @p785 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.45/0.70 (assume @p786 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.45/0.70 (assume @p787 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.45/0.70 (step @p788 :rule cnf_or_pos :args (@t637)) % 0.45/0.70 (step @p789 :rule reordering :premises (@p788) :args ((or @t635 @t636 @t638))) % 0.45/0.70 (step @p790 :rule chain_m_resolution :premises (@p789 @p757 @p751) :args (@t638 @t639 (@list @t635 @t634))) % 0.45/0.70 (assume-push @p797 @t632) % 0.45/0.70 (step @p792 :rule instantiate :premises (@p740) :args ((@list tptp.v_i tptp.v_k tptp.v_n))) % 0.45/0.70 (step-pop @p798 :rule scope :premises (@p792)) % 0.45/0.70 (step @p793 :rule process_scope :premises (@p798) :args (@t637)) % 0.45/0.70 (step @p795 :rule implies_elim :premises (@p793)) % 0.45/0.70 (step @p796 false :rule chain_m_resolution :premises (@p795 @p790 @p740) :args (false @t639 (@list @t637 @t632))) % 0.45/0.70 ) % 0.28/0.70 % SZS output end Proof % 0.28/0.70 % cvc5 exiting %------------------------------------------------------------------------------