%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV690-1 : 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 0.41s 0.67s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV690-1 : 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 21:02:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.23/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.67 % SZS status Unsatisfiable % 0.41/0.67 % SZS output start Proof % 0.41/0.69 ( % 0.41/0.69 (declare-sort $$unsorted 0) % 0.41/0.69 (declare-const tptp.v_i $$unsorted) % 0.41/0.69 (declare-const tptp.v_n $$unsorted) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.c_Parity_Oeven__odd__class_Oeven (-> $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.v_k $$unsorted) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.tc_nat $$unsorted) % 0.41/0.69 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.41/0.69 (define @t1 () (@var "T_a" $$unsorted)) % 0.41/0.69 (define @t2 () (@var "V_a" $$unsorted)) % 0.41/0.69 (define @t3 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.41/0.69 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.41/0.69 (define @t5 () (not @t4)) % 0.41/0.69 (define @t6 () (@var "V_b" $$unsorted)) % 0.41/0.69 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1)) % 0.41/0.69 (define @t8 () (not @t7)) % 0.41/0.69 (define @t9 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t1)) % 0.41/0.69 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t3 @t9 @t1)) % 0.41/0.69 (define @t11 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.41/0.69 (define @t12 () (@list @t1 @t2 @t6)) % 0.41/0.69 (define @t13 () (@list @t1 @t6 @t2)) % 0.41/0.69 (define @t14 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t1)) % 0.41/0.69 (define @t15 () (@var "V_n" $$unsorted)) % 0.41/0.69 (define @t16 () (@var "V_m" $$unsorted)) % 0.41/0.69 (define @t17 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t18 () (tptp.c_Suc @t16)) % 0.41/0.69 (define @t19 () (@list @t16 @t15)) % 0.41/0.69 (define @t20 () (tptp.c_Suc @t15)) % 0.41/0.69 (define @t21 () (@var "V_y" $$unsorted)) % 0.41/0.69 (define @t22 () (@var "V_x" $$unsorted)) % 0.41/0.69 (define @t23 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t22 @t1)) % 0.41/0.69 (define @t24 () (tptp.c_HOL_Oplus__class_Oplus @t23 (tptp.c_HOL_Otimes__class_Otimes @t21 @t21 @t1) @t1)) % 0.41/0.69 (define @t25 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.41/0.69 (define @t26 () (@list @t1 @t22 @t21)) % 0.41/0.69 (define @t27 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.41/0.69 (define @t28 () (tptp.c_Suc @t27)) % 0.41/0.69 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.41/0.69 (define @t30 () (not @t29)) % 0.41/0.69 (define @t31 () (tptp.c_lessequals @t6 @t3 @t1)) % 0.41/0.69 (define @t32 () (not @t31)) % 0.41/0.69 (define @t33 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t6 @t1)) % 0.41/0.69 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t33 @t3 @t1)) % 0.41/0.69 (define @t35 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.41/0.69 (define @t36 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.41/0.69 (define @t37 () (not @t36)) % 0.41/0.69 (define @t38 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1))) % 0.41/0.69 (define @t39 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 0.41/0.69 (define @t40 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t39 @t1)) % 0.41/0.69 (define @t41 () (@list @t1)) % 0.41/0.69 (define @t42 () (@var "V_j" $$unsorted)) % 0.41/0.69 (define @t43 () (@var "V_k" $$unsorted)) % 0.41/0.69 (define @t44 () (not (tptp.c_lessequals @t43 @t42 tptp.tc_nat))) % 0.41/0.69 (define @t45 () (@var "V_i" $$unsorted)) % 0.41/0.69 (define @t46 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t47 () (tptp.c_HOL_Oplus__class_Oplus @t46 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t48 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t49 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t50 () (@list @t42 @t45 @t43)) % 0.41/0.69 (define @t51 () (tptp.c_HOL_Oplus__class_Oplus @t45 @t46 tptp.tc_nat)) % 0.41/0.69 (define @t52 () (tptp.c_HOL_Oplus__class_Oplus @t45 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t53 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t54 () (@list @t45 @t42 @t43)) % 0.41/0.69 (define @t55 () (@var "V_ry" $$unsorted)) % 0.41/0.69 (define @t56 () (@var "V_ly" $$unsorted)) % 0.41/0.69 (define @t57 () (@var "V_rx" $$unsorted)) % 0.41/0.69 (define @t58 () (@var "V_lx" $$unsorted)) % 0.41/0.69 (define @t59 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t57 @t1)) % 0.41/0.69 (define @t60 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t55 @t1)) % 0.41/0.69 (define @t61 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t56 @t1)) % 0.41/0.69 (define @t62 () (tptp.c_HOL_Otimes__class_Otimes @t61 @t60 @t1)) % 0.41/0.69 (define @t63 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.41/0.69 (define @t64 () (@list @t1 @t58 @t56 @t57 @t55)) % 0.41/0.69 (define @t65 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 0.41/0.69 (define @t66 () (= @t2 @t3)) % 0.41/0.69 (define @t67 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.41/0.69 (define @t68 () (@list @t1 @t2)) % 0.41/0.69 (define @t69 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.41/0.69 (define @t70 () (@list @t1 @t22)) % 0.41/0.69 (define @t71 () (@var "V_c" $$unsorted)) % 0.41/0.69 (define @t72 () (tptp.c_HOL_Oabs__class_Oabs @t6 @t1)) % 0.41/0.69 (define @t73 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.41/0.69 (define @t74 () (@list @t1 @t2 @t71 @t6)) % 0.41/0.69 (define @t75 () (= @t15 @t27)) % 0.41/0.69 (define @t76 () (@list @t15)) % 0.41/0.69 (define @t77 () (tptp.c_lessequals @t22 @t21 @t1)) % 0.41/0.69 (define @t78 () (not @t77)) % 0.41/0.69 (define @t79 () (tptp.c_lessequals @t21 @t22 @t1)) % 0.41/0.69 (define @t80 () (not @t79)) % 0.41/0.69 (define @t81 () (= @t22 @t21)) % 0.41/0.69 (define @t82 () (not (tptp.class_Orderings_Oorder @t1))) % 0.41/0.69 (define @t83 () (= @t2 @t6)) % 0.41/0.69 (define @t84 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t6 tptp.tc_nat))) % 0.41/0.69 (define @t85 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t6 @t2 tptp.tc_nat))) % 0.41/0.69 (define @t86 () (@list @t6 @t2)) % 0.41/0.69 (define @t87 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t21 @t22 tptp.tc_nat)) % 0.41/0.69 (define @t88 () (not @t87)) % 0.41/0.69 (define @t89 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t21 tptp.tc_nat))) % 0.41/0.69 (define @t90 () (@list @t22 @t21)) % 0.41/0.69 (define @t91 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t92 () (not @t91)) % 0.41/0.69 (define @t93 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t15 @t16 tptp.tc_nat))) % 0.41/0.69 (define @t94 () (= @t16 @t15)) % 0.41/0.69 (define @t95 () (@list @t21 @t22)) % 0.41/0.69 (define @t96 () (tptp.c_lessequals @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t97 () (not @t96)) % 0.41/0.69 (define @t98 () (tptp.c_lessequals @t15 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t99 () (not @t98)) % 0.41/0.69 (define @t100 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.41/0.69 (define @t101 () (not @t100)) % 0.41/0.69 (define @t102 () (= @t65 @t2)) % 0.41/0.69 (define @t103 () (@var "V_z" $$unsorted)) % 0.41/0.69 (define @t104 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t21 @t103 tptp.tc_nat))) % 0.41/0.69 (define @t105 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t103 tptp.tc_nat)) % 0.41/0.69 (define @t106 () (@list @t22 @t103 @t21)) % 0.41/0.69 (define @t107 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t21 tptp.tc_nat)) % 0.41/0.69 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t27 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t109 () (not @t108)) % 0.41/0.69 (define @t110 () (tptp.c_HOL_Oord__class_Oless @t27 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t111 () (@list @t22)) % 0.41/0.69 (define @t112 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t6 @t1)) % 0.41/0.69 (define @t113 () (not @t112)) % 0.41/0.69 (define @t114 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t6 @t71 @t1)) % 0.41/0.69 (define @t115 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t71 @t1)) % 0.41/0.69 (define @t116 () (tptp.c_Suc @t42)) % 0.41/0.69 (define @t117 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t118 () (tptp.c_Suc @t46)) % 0.41/0.69 (define @t119 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t120 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t121 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 @t1)) % 0.41/0.69 (define @t122 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 0.41/0.69 (define @t123 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.41/0.69 (define @t124 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 0.41/0.69 (define @t125 () (tptp.c_HOL_Oplus__class_Oplus @t43 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t126 () (tptp.c_HOL_Oplus__class_Oplus @t43 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t127 () (tptp.c_lessequals @t126 @t125 tptp.tc_nat)) % 0.41/0.69 (define @t128 () (@list @t43 @t16 @t15)) % 0.41/0.69 (define @t129 () (@list @t16 @t15 @t43)) % 0.41/0.69 (define @t130 () (not (tptp.c_lessequals @t45 @t42 tptp.tc_nat))) % 0.41/0.69 (define @t131 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t132 () (tptp.c_HOL_Oplus__class_Oplus @t45 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t133 () (@list @t45 @t43 @t42)) % 0.41/0.69 (define @t134 () (tptp.c_lessequals @t2 @t6 @t1)) % 0.41/0.69 (define @t135 () (not @t134)) % 0.41/0.69 (define @t136 () (tptp.c_HOL_Oplus__class_Oplus @t71 @t6 @t1)) % 0.41/0.69 (define @t137 () (tptp.c_HOL_Oplus__class_Oplus @t71 @t2 @t1)) % 0.41/0.69 (define @t138 () (tptp.c_lessequals @t137 @t136 @t1)) % 0.41/0.69 (define @t139 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.41/0.69 (define @t140 () (@list @t1 @t71 @t2 @t6)) % 0.41/0.69 (define @t141 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t71 @t1)) % 0.41/0.69 (define @t142 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t71 @t1)) % 0.41/0.69 (define @t143 () (tptp.c_lessequals @t142 @t141 @t1)) % 0.41/0.69 (define @t144 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.41/0.69 (define @t145 () (@list @t1 @t2 @t6 @t71)) % 0.41/0.69 (define @t146 () (tptp.c_HOL_Otimes__class_Otimes @t65 @t72 @t1)) % 0.41/0.69 (define @t147 () (tptp.c_HOL_Oabs__class_Oabs @t9 @t1)) % 0.41/0.69 (define @t148 () (= @t147 @t146)) % 0.41/0.69 (define @t149 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.41/0.69 (define @t150 () (tptp.c_lessequals @t3 @t6 @t1)) % 0.41/0.69 (define @t151 () (not @t150)) % 0.41/0.69 (define @t152 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 0.41/0.69 (define @t153 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t21 @t1)) % 0.41/0.69 (define @t154 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.41/0.69 (define @t155 () (tptp.c_Parity_Oeven__odd__class_Oeven @t22 tptp.tc_nat)) % 0.41/0.69 (define @t156 () (tptp.c_Suc @t28)) % 0.41/0.69 (define @t157 () (tptp.c_Divides_Odiv__class_Omod @t22 @t156 tptp.tc_nat)) % 0.41/0.69 (define @t158 () (= @t157 @t27)) % 0.41/0.69 (define @t159 () (not @t155)) % 0.41/0.69 (define @t160 () (tptp.c_Divides_Odiv__class_Omod @t2 @t6 @t1)) % 0.41/0.69 (define @t161 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t2 @t1)) % 0.41/0.69 (define @t162 () (not (tptp.class_Divides_Osemiring__div @t1))) % 0.41/0.69 (define @t163 () (tptp.c_lessequals @t9 @t3 @t1)) % 0.41/0.69 (define @t164 () (not @t163)) % 0.41/0.69 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t9 @t3 @t1)) % 0.41/0.69 (define @t166 () (not @t110)) % 0.41/0.69 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t27 @t17 tptp.tc_nat)) % 0.41/0.69 (define @t168 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1)) % 0.41/0.69 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t168 @t3 @t1)) % 0.41/0.69 (define @t170 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.41/0.69 (define @t171 () (not @t169)) % 0.41/0.69 (define @t172 () (= @t6 @t3)) % 0.41/0.69 (define @t173 () (not (= @t9 @t3))) % 0.41/0.69 (define @t174 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.41/0.69 (define @t175 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.41/0.69 (define @t176 () (= @t16 @t27)) % 0.41/0.69 (define @t177 () (@var "V_u" $$unsorted)) % 0.41/0.69 (define @t178 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t179 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t178 @t177 tptp.tc_nat) @t15 tptp.tc_nat)) % 0.41/0.69 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t177 tptp.tc_nat)) % 0.41/0.69 (define @t181 () (tptp.c_HOL_Oplus__class_Oplus @t180 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t177 tptp.tc_nat)) % 0.41/0.69 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t182 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t184 () (not (= @t183 @t181))) % 0.41/0.69 (define @t185 () (@list @t45 @t177 @t16 @t42 @t15)) % 0.41/0.69 (define @t186 () (tptp.c_HOL_Ominus__class_Ominus @t45 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t187 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t186 @t177 tptp.tc_nat) @t16 tptp.tc_nat)) % 0.41/0.69 (define @t188 () (not (tptp.c_lessequals @t42 @t45 tptp.tc_nat))) % 0.41/0.69 (define @t189 () (@var "V_xa" $$unsorted)) % 0.41/0.69 (define @t190 () (tptp.c_HOL_Otimes__class_Otimes @t156 @t189 tptp.tc_nat)) % 0.41/0.69 (define @t191 () (@list @t189)) % 0.41/0.69 (define @t192 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t193 () (tptp.c_Divides_Odiv__class_Omod @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t194 () (= @t193 (tptp.c_Divides_Odiv__class_Omod @t192 @t15 tptp.tc_nat))) % 0.41/0.69 (define @t195 () (= @t21 @t3)) % 0.41/0.69 (define @t196 () (not (tptp.c_lessequals @t3 @t22 @t1))) % 0.41/0.69 (define @t197 () (not (tptp.c_lessequals @t3 @t21 @t1))) % 0.41/0.69 (define @t198 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t21 @t1)) % 0.41/0.69 (define @t199 () (not (= @t198 @t3))) % 0.41/0.69 (define @t200 () (= @t22 @t3)) % 0.41/0.69 (define @t201 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t202 () (not (= @t201 @t27))) % 0.41/0.69 (define @t203 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t71 @t1)) % 0.41/0.69 (define @t204 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t71 @t1)) % 0.41/0.69 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t204 @t203 @t1)) % 0.41/0.69 (define @t206 () (not @t205)) % 0.41/0.69 (define @t207 () (not (tptp.c_lessequals @t3 @t71 @t1))) % 0.41/0.69 (define @t208 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.41/0.69 (define @t209 () (tptp.c_HOL_Otimes__class_Otimes @t71 @t6 @t1)) % 0.41/0.69 (define @t210 () (tptp.c_HOL_Otimes__class_Otimes @t71 @t2 @t1)) % 0.41/0.69 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t210 @t209 @t1)) % 0.41/0.69 (define @t212 () (not @t211)) % 0.41/0.69 (define @t213 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.41/0.69 (define @t214 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.41/0.69 (define @t215 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t15 @t1)) % 0.41/0.69 (define @t216 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 0.41/0.69 (define @t217 () (@list @t1 @t16 @t15)) % 0.41/0.69 (define @t218 () (= @t16 @t28)) % 0.41/0.69 (define @t219 () (not (= @t17 @t28))) % 0.41/0.69 (define @t220 () (= @t15 @t28)) % 0.41/0.69 (define @t221 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t222 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 (tptp.c_Divides_Odiv__class_Omod @t16 @t15 @t1) @t1)) % 0.41/0.69 (define @t223 () (not @t222)) % 0.41/0.69 (define @t224 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t15 @t1))) % 0.41/0.69 (define @t225 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t16 @t1)) % 0.41/0.69 (define @t226 () (@list @t1 @t43 @t16 @t15)) % 0.41/0.69 (define @t227 () (not @t225)) % 0.41/0.69 (define @t228 () (@var "V_d" $$unsorted)) % 0.41/0.69 (define @t229 () (@var "V_e" $$unsorted)) % 0.41/0.69 (define @t230 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t2 @t1)) % 0.41/0.69 (define @t231 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t230 @t229 @t1) @t228 @t1)) % 0.41/0.69 (define @t232 () (tptp.c_lessequals @t71 @t231 @t1)) % 0.41/0.69 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t229 @t1)) % 0.41/0.69 (define @t234 () (tptp.c_HOL_Oplus__class_Oplus @t233 @t228 @t1)) % 0.41/0.69 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t229 @t1)) % 0.41/0.69 (define @t236 () (tptp.c_HOL_Oplus__class_Oplus @t235 @t71 @t1)) % 0.41/0.69 (define @t237 () (tptp.c_lessequals @t236 @t234 @t1)) % 0.41/0.69 (define @t238 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.41/0.69 (define @t239 () (@list @t1 @t2 @t229 @t71 @t6 @t228)) % 0.41/0.69 (define @t240 () (not @t237)) % 0.41/0.69 (define @t241 () (@list @t1 @t71 @t6 @t2 @t229 @t228)) % 0.41/0.69 (define @t242 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t6 @t1)) % 0.41/0.69 (define @t243 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t242 @t229 @t1) @t71 @t1)) % 0.41/0.69 (define @t244 () (tptp.c_lessequals @t243 @t228 @t1)) % 0.41/0.69 (define @t245 () (@list @t1 @t2 @t6 @t229 @t71 @t228)) % 0.41/0.69 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t247 () (not @t246)) % 0.41/0.69 (define @t248 () (tptp.c_lessequals @t18 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t249 () (not @t248)) % 0.41/0.69 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t15 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t251 () (tptp.c_lessequals @t20 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t252 () (@list @t15 @t16)) % 0.41/0.69 (define @t253 () (not @t251)) % 0.41/0.69 (define @t254 () (tptp.c_lessequals @t6 @t2 @t1)) % 0.41/0.69 (define @t255 () (not @t254)) % 0.41/0.69 (define @t256 () (tptp.c_lessequals @t6 @t142 @t1)) % 0.41/0.69 (define @t257 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.41/0.69 (define @t258 () (@list @t1 @t6 @t2 @t71)) % 0.41/0.69 (define @t259 () (not (tptp.c_lessequals @t6 @t71 @t1))) % 0.41/0.69 (define @t260 () (tptp.c_lessequals @t45 @t46 tptp.tc_nat)) % 0.41/0.69 (define @t261 () (tptp.c_lessequals @t132 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t262 () (@list @t45 @t16)) % 0.41/0.69 (define @t263 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t22 tptp.tc_nat)) % 0.41/0.69 (define @t264 () (@list @t16 @t22)) % 0.41/0.69 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t16 @t179 tptp.tc_nat)) % 0.41/0.69 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t183 @t181 tptp.tc_nat)) % 0.41/0.69 (define @t267 () (not @t266)) % 0.41/0.69 (define @t268 () (@list @t16 @t42 @t45 @t177 @t15)) % 0.41/0.69 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t187 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t270 () (@list @t45 @t42 @t177 @t16 @t15)) % 0.41/0.69 (define @t271 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.41/0.69 (define @t272 () (@var "V_nat_H" $$unsorted)) % 0.41/0.69 (define @t273 () (tptp.c_Suc @t272)) % 0.41/0.69 (define @t274 () (@list @t272)) % 0.41/0.69 (define @t275 () (@list @t16)) % 0.41/0.69 (define @t276 () (not @t208)) % 0.41/0.69 (define @t277 () (not (tptp.c_HOL_Oord__class_Oless @t71 @t228 @t1))) % 0.41/0.69 (define @t278 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t228 @t1)) % 0.41/0.69 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t204 @t278 @t1)) % 0.41/0.69 (define @t280 () (@list @t1 @t2 @t71 @t6 @t228)) % 0.41/0.69 (define @t281 () (tptp.c_Divides_Odiv__class_Omod @t9 @t71 @t1)) % 0.41/0.69 (define @t282 () (tptp.c_Divides_Odiv__class_Omod @t2 @t71 @t1)) % 0.41/0.69 (define @t283 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t282 @t6 @t1) @t71 @t1)) % 0.41/0.69 (define @t284 () (tptp.c_lessequals @t22 @t103 @t1)) % 0.41/0.69 (define @t285 () (not @t284)) % 0.41/0.69 (define @t286 () (tptp.c_Orderings_Oord__class_Omin @t21 @t103 @t1)) % 0.41/0.69 (define @t287 () (tptp.c_lessequals @t22 @t286 @t1)) % 0.41/0.69 (define @t288 () (@list @t1 @t22 @t21 @t103)) % 0.41/0.69 (define @t289 () (tptp.c_lessequals @t22 @t2 @t1)) % 0.41/0.69 (define @t290 () (tptp.c_lessequals @t22 @t6 @t1)) % 0.41/0.69 (define @t291 () (tptp.c_Orderings_Oord__class_Omin @t2 @t6 @t1)) % 0.41/0.69 (define @t292 () (tptp.c_lessequals @t22 @t291 @t1)) % 0.41/0.69 (define @t293 () (@list @t1 @t22 @t2 @t6)) % 0.41/0.69 (define @t294 () (tptp.c_Orderings_Oord__class_Omin @t22 @t21 @t1)) % 0.41/0.69 (define @t295 () (not (tptp.class_Ring__and__Field_Odvd @t1))) % 0.41/0.69 (define @t296 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t27 tptp.tc_nat)) % 0.41/0.69 (define @t297 () (tptp.c_lessequals @t216 @t215 @t1)) % 0.41/0.69 (define @t298 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.41/0.69 (define @t299 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t103 @t1)) % 0.41/0.69 (define @t300 () (tptp.c_HOL_Oplus__class_Oplus @t153 @t299 @t1)) % 0.41/0.69 (define @t301 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t71 @t1)) % 0.41/0.69 (define @t302 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t228 @t1)) % 0.41/0.69 (define @t303 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t21 tptp.tc_nat)) % 0.41/0.69 (define @t304 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t103 tptp.tc_nat)) % 0.41/0.69 (define @t305 () (@list @t22 @t21 @t103)) % 0.41/0.69 (define @t306 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t71 tptp.tc_nat)) % 0.41/0.69 (define @t307 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t228 tptp.tc_nat)) % 0.41/0.69 (define @t308 () (tptp.c_HOL_Oabs__class_Oabs @t242 @t1)) % 0.41/0.69 (define @t309 () (tptp.c_HOL_Ominus__class_Ominus @t65 @t72 @t1)) % 0.41/0.69 (define @t310 () (@list @t1 @t2 @t6 @t71 @t228)) % 0.41/0.69 (define @t311 () (tptp.c_Suc @t193)) % 0.41/0.69 (define @t312 () (= @t311 @t15)) % 0.41/0.69 (define @t313 () (tptp.c_Divides_Odiv__class_Omod @t18 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t314 () (tptp.c_HOL_Oord__class_Oless @t27 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t315 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t316 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t317 () (tptp.c_lessequals @t316 @t315 tptp.tc_nat)) % 0.41/0.69 (define @t318 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t319 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t320 () (tptp.c_lessequals @t319 @t318 tptp.tc_nat)) % 0.41/0.69 (define @t321 () (@list @t16 @t43 @t15)) % 0.41/0.69 (define @t322 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1) @t3)) % 0.41/0.69 (define @t323 () (not (tptp.c_lessequals @t3 @t3 @t1))) % 0.41/0.69 (define @t324 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t22 @t1)) % 0.41/0.69 (define @t325 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t326 () (tptp.c_Divides_Odiv__class_Omod @t6 @t71 @t1)) % 0.41/0.69 (define @t327 () (tptp.c_Divides_Odiv__class_Omod @t33 @t71 @t1)) % 0.41/0.69 (define @t328 () (tptp.c_HOL_Oabs__class_Oabs @t3 @t1)) % 0.41/0.69 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t141 @t1)) % 0.41/0.69 (define @t330 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t71 @t1)) % 0.41/0.69 (define @t331 () (= @t330 @t329)) % 0.41/0.69 (define @t332 () (tptp.c_HOL_Oplus__class_Oplus @t21 @t103 @t1)) % 0.41/0.69 (define @t333 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t332 @t1)) % 0.41/0.69 (define @t334 () (not @t115)) % 0.41/0.69 (define @t335 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t203 @t1)) % 0.41/0.69 (define @t336 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t9 @t71 @t1))) % 0.41/0.69 (define @t337 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t71 @t1))) % 0.41/0.69 (define @t338 () (tptp.c_HOL_Oord__class_Oless @t6 @t142 @t1)) % 0.41/0.69 (define @t339 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t27 tptp.tc_nat)) % 0.41/0.69 (define @t340 () (@var "V_r" $$unsorted)) % 0.41/0.69 (define @t341 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t71 tptp.tc_nat)) % 0.41/0.69 (define @t342 () (@var "V_q" $$unsorted)) % 0.41/0.69 (define @t343 () (tptp.c_lessequals @t210 @t209 @t1)) % 0.41/0.69 (define @t344 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.41/0.69 (define @t345 () (tptp.c_lessequals @t204 @t203 @t1)) % 0.41/0.69 (define @t346 () (not (tptp.c_lessequals @t71 @t3 @t1))) % 0.41/0.69 (define @t347 () (= @t71 @t228)) % 0.41/0.69 (define @t348 () (not (= @t24 @t3))) % 0.41/0.69 (define @t349 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t350 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t351 () (@list @t43 @t45 @t42)) % 0.41/0.69 (define @t352 () (tptp.c_HOL_Otimes__class_Otimes @t42 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t353 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t354 () (tptp.c_Suc @t43)) % 0.41/0.69 (define @t355 () (tptp.c_HOL_Otimes__class_Otimes @t354 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t356 () (tptp.c_HOL_Otimes__class_Otimes @t354 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t357 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.41/0.69 (define @t358 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t2 @t326 @t1) @t71 @t1)) % 0.41/0.69 (define @t359 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t282 @t6 @t1) @t71 @t1)) % 0.41/0.69 (define @t360 () (@var "V_D" $$unsorted)) % 0.41/0.69 (define @t361 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 @t360 @t1))) % 0.41/0.69 (define @t362 () (@var "V_t" $$unsorted)) % 0.41/0.69 (define @t363 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 (tptp.c_HOL_Oplus__class_Oplus @t22 @t362 @t1) @t1)) % 0.41/0.69 (define @t364 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t228 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t22 (tptp.c_HOL_Otimes__class_Otimes @t43 @t360 @t1) @t1) @t362 @t1) @t1)) % 0.41/0.69 (define @t365 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t1))) % 0.41/0.69 (define @t366 () (not (= @t201 @t28))) % 0.41/0.69 (define @t367 () (tptp.c_lessequals @t3 @t9 @t1)) % 0.41/0.69 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 0.41/0.69 (define @t369 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.41/0.69 (define @t370 () (tptp.c_HOL_Otimes__class_Otimes @t61 @t57 @t1)) % 0.41/0.69 (define @t371 () (@list @t1 @t58 @t56 @t57)) % 0.41/0.69 (define @t372 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t60 @t1)) % 0.41/0.69 (define @t373 () (@list @t1 @t58 @t57 @t55)) % 0.41/0.69 (define @t374 () (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t71 @t1) (tptp.c_HOL_Oplus__class_Oplus @t204 @t203 @t1))) % 0.41/0.69 (define @t375 () (tptp.c_HOL_Otimes__class_Otimes @t189 @t21 @t1)) % 0.41/0.69 (define @t376 () (tptp.c_HOL_Otimes__class_Otimes @t189 @t22 @t1)) % 0.41/0.69 (define @t377 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.41/0.69 (define @t378 () (@list @t1 @t189 @t22 @t21)) % 0.41/0.69 (define @t379 () (@var "V_b_H" $$unsorted)) % 0.41/0.69 (define @t380 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t379 @t1)) % 0.41/0.69 (define @t381 () (@list @t1 @t2 @t6 @t379)) % 0.41/0.69 (define @t382 () (@var "V_ya" $$unsorted)) % 0.41/0.69 (define @t383 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t382 @t1)) % 0.41/0.69 (define @t384 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t382 @t1)) % 0.41/0.69 (define @t385 () (@list @t1 @t22 @t21 @t382)) % 0.41/0.69 (define @t386 () (@var "V_a_H" $$unsorted)) % 0.41/0.69 (define @t387 () (tptp.c_HOL_Otimes__class_Otimes @t386 @t6 @t1)) % 0.41/0.69 (define @t388 () (@list @t1 @t2 @t386 @t6)) % 0.41/0.69 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t27 @t201 tptp.tc_nat)) % 0.41/0.69 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t3 @t168 @t1)) % 0.41/0.69 (define @t391 () (not @t367)) % 0.41/0.69 (define @t392 () (@var "V_l" $$unsorted)) % 0.41/0.69 (define @t393 () (not (tptp.c_lessequals @t43 @t392 tptp.tc_nat))) % 0.41/0.69 (define @t394 () (@list @t45 @t43 @t42 @t392)) % 0.41/0.69 (define @t395 () (tptp.c_HOL_Otimes__class_Otimes @t16 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t396 () (not (tptp.c_lessequals @t71 @t228 @t1))) % 0.41/0.69 (define @t397 () (tptp.c_lessequals @t204 @t278 @t1)) % 0.41/0.69 (define @t398 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.41/0.69 (define @t399 () (tptp.c_Parity_Oeven__odd__class_Oeven @t21 tptp.tc_nat)) % 0.41/0.69 (define @t400 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t21 tptp.tc_nat)) % 0.41/0.69 (define @t401 () (tptp.c_Parity_Oeven__odd__class_Oeven @t400 tptp.tc_nat)) % 0.41/0.69 (define @t402 () (not @t399)) % 0.41/0.69 (define @t403 () (not @t401)) % 0.41/0.69 (define @t404 () (tptp.c_Parity_Oeven__odd__class_Oeven @t16 tptp.tc_nat)) % 0.41/0.69 (define @t405 () (not @t404)) % 0.41/0.69 (define @t406 () (tptp.c_Parity_Oeven__odd__class_Oeven @t15 tptp.tc_nat)) % 0.41/0.69 (define @t407 () (not @t406)) % 0.41/0.69 (define @t408 () (tptp.c_Parity_Oeven__odd__class_Oeven @t201 tptp.tc_nat)) % 0.41/0.69 (define @t409 () (not @t408)) % 0.41/0.69 (define @t410 () (tptp.c_lessequals @t16 @t20 tptp.tc_nat)) % 0.41/0.69 (define @t411 () (tptp.c_HOL_Oord__class_Oless @t3 @t71 @t1)) % 0.41/0.69 (define @t412 () (tptp.c_HOL_Oord__class_Oless @t71 @t3 @t1)) % 0.41/0.69 (define @t413 () (= @t157 @t28)) % 0.41/0.69 (define @t414 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t228 @t1)) % 0.41/0.69 (define @t415 () (tptp.c_HOL_Oplus__class_Oplus @t71 @t228 @t1)) % 0.41/0.69 (define @t416 () (@list @t1 @t15)) % 0.41/0.69 (define @t417 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t103 @t1)) % 0.41/0.69 (define @t418 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t419 () (= @t21 @t103)) % 0.41/0.69 (define @t420 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t103 tptp.tc_nat)) % 0.41/0.69 (define @t421 () (= @t6 @t71)) % 0.41/0.69 (define @t422 () (not (= @t33 @t142))) % 0.41/0.69 (define @t423 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.41/0.69 (define @t424 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.41/0.69 (define @t425 () (tptp.c_HOL_Oplus__class_Oplus @t21 @t103 tptp.tc_nat)) % 0.41/0.69 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t415 @t1)) % 0.41/0.69 (define @t427 () (@list @t1 @t2 @t71 @t228)) % 0.41/0.69 (define @t428 () (@list @t43)) % 0.41/0.69 (define @t429 () (tptp.c_HOL_Oplus__class_Oplus @t65 @t72 @t1)) % 0.41/0.69 (define @t430 () (tptp.c_lessequals @t22 @t21 tptp.tc_nat)) % 0.41/0.69 (define @t431 () (tptp.c_lessequals @t22 @t425 tptp.tc_nat)) % 0.41/0.69 (define @t432 () (not (tptp.c_lessequals @t117 @t15 tptp.tc_nat))) % 0.41/0.69 (define @t433 () (tptp.c_lessequals @t43 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t434 () (@list @t43 @t15 @t16)) % 0.41/0.69 (define @t435 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t436 () (@list @t45 @t42 @t16)) % 0.41/0.69 (define @t437 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t438 () (@list @t45 @t16 @t42)) % 0.41/0.69 (define @t439 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t440 () (not @t314)) % 0.41/0.69 (define @t441 () (not (= @t316 @t315))) % 0.41/0.69 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t316 @t315 tptp.tc_nat)) % 0.41/0.69 (define @t443 () (not @t442)) % 0.41/0.69 (define @t444 () (tptp.c_HOL_Oord__class_Oless @t319 @t318 tptp.tc_nat)) % 0.41/0.69 (define @t445 () (not @t444)) % 0.41/0.69 (define @t446 () (not @t411)) % 0.41/0.69 (define @t447 () (not @t343)) % 0.41/0.69 (define @t448 () (not @t412)) % 0.41/0.69 (define @t449 () (not @t317)) % 0.41/0.69 (define @t450 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t6 @t1)) % 0.41/0.69 (define @t451 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t2 @t1)) % 0.41/0.69 (define @t452 () (tptp.c_Suc @t22)) % 0.41/0.69 (define @t453 () (not @t167)) % 0.41/0.69 (define @t454 () (not (tptp.c_lessequals @t24 @t3 @t1))) % 0.41/0.69 (define @t455 () (@list @t1 @t21 @t22)) % 0.41/0.69 (define @t456 () (tptp.c_HOL_Oord__class_Oless @t356 @t355 tptp.tc_nat)) % 0.41/0.69 (define @t457 () (not @t433)) % 0.41/0.69 (define @t458 () (tptp.c_lessequals @t356 @t355 tptp.tc_nat)) % 0.41/0.69 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t3 @t24 @t1)) % 0.41/0.69 (define @t460 () (@list @t1 @t16)) % 0.41/0.69 (define @t461 () (tptp.c_Parity_Oeven__odd__class_Oeven @t452 tptp.tc_nat)) % 0.41/0.69 (define @t462 () (tptp.c_Orderings_Oord__class_Omin @t16 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t463 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.41/0.69 (define @t464 () (not @t463)) % 0.41/0.69 (define @t465 () (not (tptp.c_HOL_Oord__class_Oless @t45 @t42 tptp.tc_nat))) % 0.41/0.69 (define @t466 () (tptp.c_HOL_Oplus__class_Oplus @t315 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t467 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t204 @t203 @t1)) % 0.41/0.69 (define @t468 () (= @t71 @t3)) % 0.41/0.69 (define @t469 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t210 @t209 @t1)) % 0.41/0.69 (define @t470 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t316 @t315 tptp.tc_nat)) % 0.41/0.69 (define @t471 () (not @t470)) % 0.41/0.69 (define @t472 () (= @t43 @t27)) % 0.41/0.69 (define @t473 () (tptp.c_HOL_Oord__class_Oless @t3 @t33 @t1)) % 0.41/0.69 (define @t474 () (= (tptp.c_Divides_Odiv__class_Omod @t6 @t2 @t1) @t3)) % 0.41/0.69 (define @t475 () (not (tptp.c_HOL_Oord__class_Oless @t28 @t15 tptp.tc_nat))) % 0.41/0.69 (define @t476 () (not (tptp.c_HOL_Oord__class_Oless @t28 @t16 tptp.tc_nat))) % 0.41/0.69 (define @t477 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t20 tptp.tc_nat)) % 0.41/0.69 (define @t478 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t479 () (not (= @t28 @t201))) % 0.41/0.69 (define @t480 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t28 tptp.tc_nat)) % 0.41/0.69 (define @t481 () (tptp.c_Orderings_Oord__class_Omin @t22 @t286 @t1)) % 0.41/0.69 (define @t482 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t103 @t22 tptp.tc_nat))) % 0.41/0.69 (define @t483 () (@list @t103 @t22 @t21)) % 0.41/0.69 (define @t484 () (= @t294 @t22)) % 0.41/0.69 (define @t485 () (tptp.c_lessequals @t28 @t17 tptp.tc_nat)) % 0.41/0.69 (define @t486 () (not @t485)) % 0.41/0.69 (define @t487 () (tptp.c_lessequals @t28 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t488 () (tptp.c_lessequals @t28 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t489 () (tptp.c_HOL_Oord__class_Oless @t16 @t20 tptp.tc_nat)) % 0.41/0.69 (define @t490 () (not @t489)) % 0.41/0.69 (define @t491 () (tptp.c_HOL_Oord__class_Oless @t22 @t452 tptp.tc_nat)) % 0.41/0.69 (define @t492 () (tptp.c_lessequals @t22 @t22 tptp.tc_nat)) % 0.41/0.69 (define @t493 () (tptp.c_HOL_Oplus__class_Oplus @t42 @t392 tptp.tc_nat)) % 0.41/0.69 (define @t494 () (tptp.c_HOL_Ominus__class_Ominus @t183 @t181 tptp.tc_nat)) % 0.41/0.69 (define @t495 () (tptp.c_lessequals @t3 @t168 @t1)) % 0.41/0.69 (define @t496 () (= @t192 @t27)) % 0.41/0.69 (define @t497 () (not @t496)) % 0.41/0.69 (define @t498 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t192 tptp.tc_nat)) % 0.41/0.69 (define @t499 () (not @t498)) % 0.41/0.69 (define @t500 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t501 () (not @t500)) % 0.41/0.69 (define @t502 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t503 () (not @t502)) % 0.41/0.69 (define @t504 () (tptp.c_Suc @t201)) % 0.41/0.69 (define @t505 () (not (= @t236 @t234))) % 0.41/0.69 (define @t506 () (tptp.c_Parity_Oeven__odd__class_Oeven @t303 tptp.tc_nat)) % 0.41/0.69 (define @t507 () (not @t292)) % 0.41/0.69 (define @t508 () (tptp.c_lessequals @t291 @t22 @t1)) % 0.41/0.69 (define @t509 () (@list @t1 @t2 @t6 @t22)) % 0.41/0.69 (define @t510 () (tptp.c_lessequals @t294 @t103 @t1)) % 0.41/0.69 (define @t511 () (tptp.c_lessequals @t21 @t103 @t1)) % 0.41/0.69 (define @t512 () (not @t511)) % 0.41/0.69 (define @t513 () (not @t287)) % 0.41/0.69 (define @t514 () (@list @t1 @t22 @t103 @t21)) % 0.41/0.69 (define @t515 () (@var "V_nat" $$unsorted)) % 0.41/0.69 (define @t516 () (@list @t1 @t21 @t103 @t22)) % 0.41/0.69 (define @t517 () (not (= @t282 (tptp.c_Divides_Odiv__class_Omod @t386 @t71 @t1)))) % 0.41/0.69 (define @t518 () (not (= @t326 (tptp.c_Divides_Odiv__class_Omod @t379 @t71 @t1)))) % 0.41/0.69 (define @t519 () (@list @t1 @t6 @t71 @t379 @t2 @t386)) % 0.41/0.69 (define @t520 () (tptp.c_lessequals @t42 @t132 tptp.tc_nat)) % 0.41/0.69 (define @t521 () (tptp.c_lessequals @t46 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t522 () (@list @t42 @t43 @t45)) % 0.41/0.69 (define @t523 () (tptp.c_lessequals @t183 @t181 tptp.tc_nat)) % 0.41/0.69 (define @t524 () (not @t523)) % 0.41/0.69 (define @t525 () (tptp.c_lessequals @t187 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t526 () (tptp.c_lessequals @t16 @t179 tptp.tc_nat)) % 0.41/0.69 (define @t527 () (@var "V_w" $$unsorted)) % 0.41/0.69 (define @t528 () (= @t527 @t22)) % 0.41/0.69 (define @t529 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1) @t2)) % 0.41/0.69 (define @t530 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.41/0.69 (define @t531 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1) @t2)) % 0.41/0.69 (define @t532 () (tptp.c_HOL_Oord__class_Oless @t142 @t414 @t1)) % 0.41/0.69 (define @t533 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.41/0.69 (define @t534 () (tptp.c_HOL_Oord__class_Oless @t21 @t22 @t1)) % 0.41/0.69 (define @t535 () (not @t534)) % 0.41/0.69 (define @t536 () (not (tptp.c_lessequals @t103 @t21 @t1))) % 0.41/0.69 (define @t537 () (tptp.c_HOL_Oord__class_Oless @t103 @t22 @t1)) % 0.41/0.69 (define @t538 () (@list @t1 @t103 @t22 @t21)) % 0.41/0.69 (define @t539 () (tptp.c_HOL_Oord__class_Oless @t103 @t21 @t1)) % 0.41/0.69 (define @t540 () (not @t539)) % 0.41/0.69 (define @t541 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 @t1)) % 0.41/0.69 (define @t542 () (not @t541)) % 0.41/0.69 (define @t543 () (tptp.c_HOL_Oord__class_Oless @t22 @t103 @t1)) % 0.41/0.69 (define @t544 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.41/0.69 (define @t545 () (tptp.c_HOL_Oord__class_Oless @t21 @t103 @t1)) % 0.41/0.69 (define @t546 () (not @t545)) % 0.41/0.69 (define @t547 () (tptp.c_HOL_Oord__class_Oless @t142 @t141 @t1)) % 0.41/0.69 (define @t548 () (tptp.c_HOL_Oord__class_Oless @t137 @t136 @t1)) % 0.41/0.69 (define @t549 () (tptp.c_HOL_Oord__class_Oless @t294 @t103 @t1)) % 0.41/0.69 (define @t550 () (tptp.c_HOL_Oord__class_Oless @t103 @t294 @t1)) % 0.41/0.69 (define @t551 () (tptp.c_HOL_Oord__class_Oless @t22 @t22 @t1)) % 0.41/0.69 (define @t552 () (not @t551)) % 0.41/0.69 (define @t553 () (tptp.c_lessequals @t22 @t22 @t1)) % 0.41/0.69 (define @t554 () (not @t550)) % 0.41/0.69 (define @t555 () (tptp.c_HOL_Oord__class_Oless @t291 @t22 @t1)) % 0.41/0.69 (define @t556 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t451 @t1) @t340 @t1)) % 0.41/0.69 (define @t557 () (not @t556)) % 0.41/0.69 (define @t558 () (tptp.c_HOL_Oord__class_Oless @t22 (tptp.c_HOL_Oplus__class_Oplus @t2 @t340 @t1) @t1)) % 0.41/0.69 (define @t559 () (@list @t1 @t22 @t2 @t340)) % 0.41/0.69 (define @t560 () (tptp.c_HOL_Oord__class_Oless @t71 @t231 @t1)) % 0.41/0.69 (define @t561 () (tptp.c_HOL_Oord__class_Oless @t236 @t234 @t1)) % 0.41/0.69 (define @t562 () (not @t561)) % 0.41/0.69 (define @t563 () (tptp.c_HOL_Oord__class_Oless @t243 @t228 @t1)) % 0.41/0.69 (define @t564 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t2 @t340 @t1) @t22 @t1)) % 0.41/0.69 (define @t565 () (tptp.c_Divides_Odiv__class_Omod @t242 @t71 @t1)) % 0.41/0.69 (define @t566 () (not (tptp.class_Divides_Oring__div @t1))) % 0.41/0.69 (define @t567 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t103 @t1)) % 0.41/0.69 (define @t568 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.41/0.69 (define @t569 () (@var "V_x_H" $$unsorted)) % 0.41/0.69 (define @t570 () (@var "V_y_H" $$unsorted)) % 0.41/0.69 (define @t571 () (tptp.c_lessequals @t570 @t569 @t1)) % 0.41/0.69 (define @t572 () (tptp.c_HOL_Ominus__class_Ominus @t569 @t570 @t1)) % 0.41/0.69 (define @t573 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 @t1)) % 0.41/0.69 (define @t574 () (not (= @t573 @t572))) % 0.41/0.69 (define @t575 () (@list @t1 @t22 @t21 @t569 @t570)) % 0.41/0.69 (define @t576 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t22 @t1)) % 0.41/0.69 (define @t577 () (= @t576 @t3)) % 0.41/0.69 (define @t578 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.41/0.69 (define @t579 () (not (= @t242 @t3))) % 0.41/0.69 (define @t580 () (tptp.c_HOL_Oord__class_Oless @t126 @t125 tptp.tc_nat)) % 0.41/0.69 (define @t581 () (@list @t45 @t42)) % 0.41/0.69 (define @t582 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 tptp.tc_nat)) % 0.41/0.69 (define @t583 () (not @t582)) % 0.41/0.69 (define @t584 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t392 tptp.tc_nat))) % 0.41/0.69 (define @t585 () (tptp.c_HOL_Oord__class_Oless @t15 @t18 tptp.tc_nat)) % 0.41/0.69 (define @t586 () (not @t585)) % 0.41/0.69 (define @t587 () (= @t15 @t16)) % 0.41/0.69 (define @t588 () (= @t122 @t3)) % 0.41/0.69 (define @t589 () (= @t124 @t3)) % 0.41/0.69 (define @t590 () (= @t121 @t3)) % 0.41/0.69 (define @t591 () (@list @t1 @t6)) % 0.41/0.69 (define @t592 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.41/0.69 (define @t593 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t43 @t418 tptp.tc_nat)) % 0.41/0.69 (define @t594 () (@list @t43 @t15)) % 0.41/0.69 (define @t595 () (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Oabs__class_Oabs @t16 @t1) @t43 @t1)) % 0.41/0.69 (define @t596 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t43 @t1)) % 0.41/0.69 (define @t597 () (@list @t1 @t16 @t43)) % 0.41/0.69 (define @t598 () (not @t596)) % 0.41/0.69 (define @t599 () (tptp.c_HOL_Oabs__class_Oabs @t43 @t1)) % 0.41/0.69 (define @t600 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t599 @t1)) % 0.41/0.69 (define @t601 () (tptp.c_HOL_Oplus__class_Oplus @t43 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t602 () (tptp.c_lessequals @t242 @t3 @t1)) % 0.41/0.69 (define @t603 () (= (tptp.c_HOL_Oplus__class_Oplus @t15 @t192 tptp.tc_nat) @t16)) % 0.41/0.69 (define @t604 () (@var "V_xb" $$unsorted)) % 0.41/0.69 (define @t605 () (tptp.c_HOL_Oord__class_Oless @t3 @t215 @t1)) % 0.41/0.69 (define @t606 () (tptp.c_lessequals @t168 @t3 @t1)) % 0.41/0.69 (define @t607 () (tptp.c_lessequals @t20 @t18 tptp.tc_nat)) % 0.41/0.69 (define @t608 () (tptp.c_HOL_Oord__class_Oless @t22 @t22 tptp.tc_nat)) % 0.41/0.69 (define @t609 () (tptp.c_HOL_Oord__class_Oless @t18 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t610 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t43 tptp.tc_nat))) % 0.41/0.69 (define @t611 () (tptp.c_Suc @t45)) % 0.41/0.69 (define @t612 () (tptp.c_HOL_Oord__class_Oless @t22 @t425 tptp.tc_nat)) % 0.41/0.69 (define @t613 () (tptp.c_HOL_Oord__class_Oless @t18 @t20 tptp.tc_nat)) % 0.41/0.69 (define @t614 () (@list @t15 @t45)) % 0.41/0.69 (define @t615 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t45 tptp.tc_nat)) % 0.41/0.69 (define @t616 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t617 () (not (tptp.c_lessequals @t43 @t16 tptp.tc_nat))) % 0.41/0.69 (define @t618 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t619 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t620 () (tptp.c_lessequals @t619 @t618 tptp.tc_nat)) % 0.41/0.69 (define @t621 () (tptp.c_HOL_Ominus__class_Ominus @t392 @t16 tptp.tc_nat)) % 0.41/0.69 (define @t622 () (tptp.c_HOL_Ominus__class_Ominus @t392 @t15 tptp.tc_nat)) % 0.41/0.69 (define @t623 () (@list @t392 @t15 @t16)) % 0.41/0.69 (define @t624 () (tptp.c_HOL_Ominus__class_Ominus @t186 @t43 tptp.tc_nat)) % 0.41/0.69 (define @t625 () (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 tptp.tc_nat) tptp.tc_nat)) % 0.41/0.69 (define @t626 () (tptp.c_HOL_Oord__class_Oless @t242 @t3 @t1)) % 0.41/0.69 (define @t627 () (tptp.c_HOL_Oord__class_Oless @t216 @t215 @t1)) % 0.41/0.69 (define @t628 () (not @t625)) % 0.41/0.69 (define @t629 () (tptp.c_HOL_Oord__class_Oless @t45 @t46 tptp.tc_nat)) % 0.41/0.69 (define @t630 () (tptp.c_HOL_Oord__class_Oless @t132 @t42 tptp.tc_nat)) % 0.41/0.69 (define @t631 () (tptp.c_HOL_Oord__class_Oless @t619 @t618 tptp.tc_nat)) % 0.41/0.69 (define @t632 () (tptp.c_HOL_Oord__class_Oless @t27 @t616 tptp.tc_nat)) % 0.41/0.69 (define @t633 () (forall (@list @t42 @t15 @t43) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t42 @t15 tptp.tc_nat) @t43 tptp.tc_nat) @t610))) % 0.41/0.69 (define @t634 () (tptp.c_HOL_Oord__class_Oless @t569 @t570 @t1)) % 0.41/0.69 (define @t635 () (tptp.c_HOL_Oord__class_Oless tptp.v_k tptp.v_n tptp.tc_nat)) % 0.41/0.69 (define @t636 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_k tptp.v_i tptp.tc_nat) tptp.v_n tptp.tc_nat)) % 0.41/0.69 (define @t637 () (not @t635)) % 0.41/0.69 (define @t638 () (or @t636 @t637)) % 0.41/0.69 (define @t639 () (not @t638)) % 0.41/0.69 (define @t640 () (@list true false)) % 0.41/0.69 (assume @p1 (forall @t12 (or @t11 @t10 @t8 @t5))) % 0.41/0.69 (assume @p2 (forall @t13 (or @t11 @t7 @t5 (not @t10)))) % 0.41/0.69 (assume @p3 (forall @t13 (or @t11 @t7 @t5 (not (tptp.c_HOL_Oord__class_Oless @t3 @t14 @t1))))) % 0.41/0.69 (assume @p4 (forall @t19 (= (tptp.c_HOL_Otimes__class_Otimes @t18 @t15 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t15 @t17 tptp.tc_nat)))) % 0.41/0.69 (assume @p5 (forall @t19 (= (tptp.c_HOL_Otimes__class_Otimes @t16 @t20 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t16 @t17 tptp.tc_nat)))) % 0.41/0.69 (assume @p6 (forall @t26 (or @t25 (not (tptp.c_HOL_Oord__class_Oless @t24 @t3 @t1))))) % 0.41/0.69 (assume @p7 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t28 @t28 tptp.tc_nat)) % 0.41/0.69 (assume @p8 (forall @t12 (or @t35 @t34 @t32 @t30))) % 0.41/0.69 (assume @p9 (forall @t12 (or @t35 @t34 @t38 @t37))) % 0.41/0.69 (assume @p10 (forall @t41 (or @t25 (tptp.c_lessequals @t40 @t3 @t1)))) % 0.41/0.69 (assume @p11 (forall @t50 (or (= @t49 @t47) @t44))) % 0.41/0.69 (assume @p12 (forall @t54 (or (= @t53 @t51) @t44))) % 0.41/0.69 (assume @p13 (forall @t64 (or @t63 (= @t62 (tptp.c_HOL_Otimes__class_Otimes @t59 (tptp.c_HOL_Otimes__class_Otimes @t56 @t55 @t1) @t1))))) % 0.41/0.69 (assume @p14 (forall @t64 (or @t63 (= @t62 (tptp.c_HOL_Otimes__class_Otimes @t58 (tptp.c_HOL_Otimes__class_Otimes @t56 @t60 @t1) @t1))))) % 0.41/0.69 (assume @p15 (forall @t64 (or @t63 (= @t62 (tptp.c_HOL_Otimes__class_Otimes @t57 (tptp.c_HOL_Otimes__class_Otimes @t61 @t55 @t1) @t1))))) % 0.41/0.69 (assume @p16 (forall @t68 (or @t67 @t66 (not (tptp.c_lessequals @t65 @t3 @t1))))) % 0.41/0.69 (assume @p17 (forall @t70 (or @t69 (= (tptp.c_Orderings_Oord__class_Omin @t22 @t22 @t1) @t22)))) % 0.41/0.69 (assume @p18 (forall @t74 (or @t73 (tptp.c_lessequals @t2 (tptp.c_HOL_Oplus__class_Oplus @t71 @t72 @t1) @t1) (not (tptp.c_lessequals @t33 @t71 @t1))))) % 0.41/0.69 (assume @p19 (forall @t76 (or @t75 (not (tptp.c_lessequals @t15 @t27 tptp.tc_nat))))) % 0.41/0.69 (assume @p20 (forall @t26 (or @t82 @t81 @t80 @t78))) % 0.41/0.69 (assume @p21 (forall @t86 (or @t85 @t84 @t83))) % 0.41/0.69 (assume @p22 (forall @t86 (or @t85 @t83 @t84))) % 0.41/0.69 (assume @p23 (forall @t90 (or @t81 @t89 @t88))) % 0.41/0.69 (assume @p24 (forall @t19 (or @t94 @t93 @t92))) % 0.41/0.69 (assume @p25 (forall @t95 (or @t88 @t81 @t89))) % 0.41/0.69 (assume @p26 (forall @t90 (or @t81 @t88 @t89))) % 0.41/0.69 (assume @p27 (forall @t19 (or @t94 @t99 @t97))) % 0.41/0.69 (assume @p28 (forall @t26 (or @t82 @t81 @t78 @t80))) % 0.41/0.69 (assume @p29 (forall @t68 (or @t67 @t102 @t101))) % 0.41/0.69 (assume @p30 (forall @t106 (or @t105 @t104 @t89))) % 0.41/0.69 (assume @p31 (forall @t106 (or @t105 @t107 @t104 @t87 @t89))) % 0.41/0.69 (assume @p32 (forall @t19 (or @t110 @t92 @t109))) % 0.41/0.69 (assume @p33 (forall @t111 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t22 tptp.tc_nat))) % 0.41/0.69 (assume @p34 (forall @t68 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t2 @t1)))) % 0.41/0.69 (assume @p35 (forall @t74 (or @t63 @t115 (not @t114) @t113))) % 0.41/0.69 (assume @p36 (forall (@list @t16 @t42 @t43) (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t118 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t117 @t116 tptp.tc_nat)) @t44))) % 0.41/0.69 (assume @p37 (forall @t19 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t120 @t119 tptp.tc_nat))) % 0.41/0.69 (assume @p38 (forall @t12 (or @t123 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t122 @t121 @t1)))) % 0.41/0.69 (assume @p39 (forall @t12 (or @t123 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t124 (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 @t1) @t1)))) % 0.41/0.69 (assume @p40 (forall @t128 (or @t127 @t97))) % 0.41/0.69 (assume @p41 (forall @t129 (or @t96 (not @t127)))) % 0.41/0.69 (assume @p42 (forall @t133 (or (tptp.c_lessequals @t132 @t131 tptp.tc_nat) @t130))) % 0.41/0.69 (assume @p43 (forall @t140 (or @t139 @t138 @t135))) % 0.41/0.69 (assume @p44 (forall @t74 (or @t139 @t143 @t135))) % 0.41/0.69 (assume @p45 (forall @t145 (or @t144 @t134 (not @t138)))) % 0.41/0.69 (assume @p46 (forall @t140 (or @t144 @t138 @t135))) % 0.41/0.69 (assume @p47 (forall @t145 (or @t144 @t134 (not @t143)))) % 0.41/0.69 (assume @p48 (forall @t74 (or @t144 @t143 @t135))) % 0.41/0.69 (assume @p49 (forall @t12 (or @t149 @t148))) % 0.41/0.69 (assume @p50 (forall @t12 (or @t152 @t148 @t151 @t101))) % 0.41/0.69 (assume @p51 (forall @t12 (or @t152 @t148 @t32 @t101))) % 0.41/0.69 (assume @p52 (forall @t12 (or @t152 @t148 @t151 @t37))) % 0.41/0.69 (assume @p53 (forall @t12 (or @t152 @t148 @t32 @t37))) % 0.41/0.69 (assume @p54 (forall @t26 (or @t154 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t153 @t1) @t153)))) % 0.41/0.69 (assume @p55 (forall @t111 (or (not @t158) @t155))) % 0.41/0.69 (assume @p56 (forall @t111 (or @t158 @t159))) % 0.41/0.69 (assume @p57 (forall @t13 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t161 @t6 @t1) @t160)))) % 0.41/0.69 (assume @p58 (forall @t12 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t6 @t1) @t160)))) % 0.41/0.69 (assume @p59 (forall @t12 (or @t25 @t36 @t100 @t164))) % 0.41/0.69 (assume @p60 (forall @t13 (or @t25 @t150 @t100 @t164))) % 0.41/0.69 (assume @p61 (forall @t12 (or @t25 @t36 @t31 @t164))) % 0.41/0.69 (assume @p62 (forall @t13 (or @t25 @t150 @t31 @t164))) % 0.41/0.69 (assume @p63 (forall @t12 (or @t11 @t165 @t8 @t30))) % 0.41/0.69 (assume @p64 (forall @t12 (or @t11 @t165 @t38 @t5))) % 0.41/0.69 (assume @p65 (forall @t13 (or @t11 (tptp.c_HOL_Oord__class_Oless @t14 @t3 @t1) @t38 @t5))) % 0.41/0.69 (assume @p66 (forall @t12 (or @t25 @t10 @t38 @t30))) % 0.41/0.69 (assume @p67 (forall @t19 (or @t167 @t109 @t166))) % 0.41/0.69 (assume @p68 (forall @t68 (or @t170 @t169 @t30))) % 0.41/0.69 (assume @p69 (forall @t68 (or @t170 @t29 @t171))) % 0.41/0.69 (assume @p70 (forall @t68 (or @t149 @t29 @t171))) % 0.41/0.69 (assume @p71 (forall @t68 (or @t149 @t169 @t30))) % 0.41/0.69 (assume @p72 (forall @t12 (or @t174 @t173 @t172 @t66))) % 0.41/0.69 (assume @p73 (forall @t12 (or @t175 @t173 @t172 @t66))) % 0.41/0.69 (assume @p74 (forall @t12 (or @t175 @t173 @t66 @t172))) % 0.41/0.69 (assume @p75 (forall @t19 (or (not (= @t17 @t27)) @t75 @t176))) % 0.41/0.69 (assume @p76 (forall @t185 (or @t184 @t130 (= @t16 @t179)))) % 0.41/0.69 (assume @p77 (forall @t185 (or @t184 @t188 (= @t187 @t15)))) % 0.41/0.69 (assume @p78 (forall @t191 (tptp.c_Parity_Oeven__odd__class_Oeven @t190 tptp.tc_nat))) % 0.41/0.69 (assume @p79 (forall @t19 (or @t194 @t99))) % 0.41/0.69 (assume @p80 (forall @t26 (or @t35 @t199 @t197 @t196 @t195))) % 0.41/0.69 (assume @p81 (forall @t26 (or @t35 @t199 @t197 @t196 @t200))) % 0.41/0.69 (assume @p82 (forall @t19 (or @t202 @t176))) % 0.41/0.69 (assume @p83 (forall @t19 (or @t202 @t75))) % 0.41/0.69 (assume @p84 (forall @t68 (or @t170 (not (= @t168 @t3)) @t66))) % 0.41/0.69 (assume @p85 (forall @t76 (= (tptp.c_Orderings_Oord__class_Omin @t27 @t15 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p86 (forall @t76 (= (tptp.c_Orderings_Oord__class_Omin @t15 @t27 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p87 (forall (@list @t42 @t45 @t177 @t16) (or @t188 (= @t183 (tptp.c_HOL_Oplus__class_Oplus @t180 @t187 tptp.tc_nat))))) % 0.41/0.69 (assume @p88 (forall @t145 (or @t11 @t208 @t207 @t206))) % 0.41/0.69 (assume @p89 (forall @t145 (or @t11 @t208 @t207 @t212))) % 0.41/0.69 (assume @p90 (forall @t145 (or @t213 @t208 @t207 @t206))) % 0.41/0.69 (assume @p91 (forall @t145 (or @t213 @t208 @t207 @t212))) % 0.41/0.69 (assume @p92 (forall (@list @t1 @t22 @t2) (or @t123 @t214 (not (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t2 @t1))) @t66))) % 0.41/0.69 (assume @p93 (forall (@list @t22 @t2) (or (not (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t2 tptp.tc_nat))) (= @t2 @t27)))) % 0.41/0.69 (assume @p94 (forall @t19 (or (not (= @t201 @t16)) @t75))) % 0.41/0.69 (assume @p95 (forall @t217 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t216 @t215)) @t94))) % 0.41/0.69 (assume @p96 (forall @t19 (or (tptp.c_lessequals @t193 @t15 tptp.tc_nat) @t109))) % 0.41/0.69 (assume @p97 (forall @t19 (or @t219 @t218))) % 0.41/0.69 (assume @p98 (forall @t19 (or @t219 @t220))) % 0.41/0.69 (assume @p99 (forall @t26 (or @t25 (tptp.c_lessequals @t3 @t24 @t1)))) % 0.41/0.69 (assume @p100 (forall @t19 (or (= @t221 (tptp.c_Suc @t192)) @t99))) % 0.41/0.69 (assume @p101 (forall @t226 (or @t162 @t225 @t224 @t223))) % 0.41/0.69 (assume @p102 (forall @t226 (or @t162 @t222 @t227 @t224))) % 0.41/0.69 (assume @p103 (forall @t226 (or @t162 @t225 @t223 @t224))) % 0.41/0.69 (assume @p104 (forall @t226 (or @t162 @t222 @t224 @t227))) % 0.41/0.69 (assume @p105 (forall @t239 (or @t238 @t237 (not @t232)))) % 0.41/0.69 (assume @p106 (forall @t241 (or @t238 @t232 @t240))) % 0.41/0.69 (assume @p107 (forall @t239 (or @t238 @t237 (not @t244)))) % 0.41/0.69 (assume @p108 (forall @t245 (or @t238 @t244 @t240))) % 0.41/0.69 (assume @p109 (forall @t19 (or @t248 @t247))) % 0.41/0.69 (assume @p110 (forall @t19 (or @t246 @t249))) % 0.41/0.69 (assume @p111 (forall @t252 (or @t251 (not @t250)))) % 0.41/0.69 (assume @p112 (forall @t252 (or @t250 @t253))) % 0.41/0.69 (assume @p113 (forall @t258 (or @t144 @t257 @t256 @t255 @t207))) % 0.41/0.69 (assume @p114 (forall @t258 (or @t144 @t257 @t256 @t259 @t101))) % 0.41/0.69 (assume @p115 (forall @t133 (or @t261 (not @t260) @t44))) % 0.41/0.69 (assume @p116 (forall @t54 (or @t260 (not @t261) @t44))) % 0.41/0.69 (assume @p117 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t45 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t45 @t16 tptp.tc_nat)) tptp.tc_nat))) % 0.41/0.69 (assume @p118 (forall @t262 (tptp.c_HOL_Oord__class_Oless @t45 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t16 @t45 tptp.tc_nat)) tptp.tc_nat))) % 0.41/0.69 (assume @p119 (forall @t264 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.c_Suc @t263) tptp.tc_nat))) % 0.41/0.69 (assume @p120 (forall @t185 (or @t266 (not @t265) @t130))) % 0.41/0.69 (assume @p121 (forall @t268 (or @t265 @t267 @t130))) % 0.41/0.69 (assume @p122 (forall @t185 (or @t266 (not @t269) @t188))) % 0.41/0.69 (assume @p123 (forall @t270 (or @t269 @t267 @t188))) % 0.41/0.69 (assume @p124 (forall (@list @t1 @t2 @t229 @t6 @t228) (or @t271 (= (tptp.c_HOL_Oplus__class_Oplus @t235 @t231 @t1) @t234)))) % 0.41/0.69 (assume @p125 (forall @t274 (not (= @t27 @t273)))) % 0.41/0.69 (assume @p126 (forall @t275 (not (= @t27 @t18)))) % 0.41/0.69 (assume @p127 (forall @t12 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t147 @t146 @t1)))) % 0.41/0.69 (assume @p128 (forall @t12 (or @t67 @t134 (not (tptp.c_lessequals @t65 @t6 @t1))))) % 0.41/0.69 (assume @p129 (forall @t280 (or @t11 @t279 @t207 @t8 @t277 @t276))) % 0.41/0.69 (assume @p130 (forall @t74 (or @t162 (= @t283 @t281)))) % 0.41/0.69 (assume @p131 (forall @t288 (or @t69 @t287 @t285 @t78))) % 0.41/0.69 (assume @p132 (forall @t293 (or @t69 @t292 (not @t290) (not @t289)))) % 0.41/0.69 (assume @p133 (forall @t26 (or @t69 (tptp.c_lessequals @t294 @t21 @t1)))) % 0.41/0.69 (assume @p134 (forall @t26 (or @t69 (tptp.c_lessequals @t294 @t22 @t1)))) % 0.41/0.69 (assume @p135 (forall (@list @t42 @t43 @t16) (or (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t16 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t116 @t126 tptp.tc_nat)) @t44))) % 0.41/0.69 (assume @p136 (forall @t12 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t14 @t1)))) % 0.41/0.69 (assume @p137 (forall @t12 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t9 @t1)))) % 0.41/0.69 (assume @p138 (forall (@list @t1 @t6 @t43) (or @t295 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t6 (tptp.c_HOL_Otimes__class_Otimes @t6 @t43 @t1) @t1)))) % 0.41/0.69 (assume @p139 (= @t296 @t28)) % 0.41/0.69 (assume @p140 (forall @t217 (or @t298 @t297 @t97))) % 0.41/0.69 (assume @p141 (forall @t217 (or @t298 @t96 (not @t297)))) % 0.41/0.69 (assume @p142 (forall @t68 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t2 @t1) @t3)))) % 0.41/0.69 (assume @p143 (forall @t288 (or @t123 @t214 (= @t300 (tptp.c_HOL_Oplus__class_Oplus @t299 @t153 @t1))))) % 0.41/0.69 (assume @p144 (forall (@list @t1 @t22 @t71 @t228) (or @t123 @t214 (= (tptp.c_HOL_Oplus__class_Oplus @t301 @t302 @t1) (tptp.c_HOL_Oplus__class_Oplus @t302 @t301 @t1))))) % 0.41/0.69 (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)))) % 0.41/0.69 (assume @p146 (forall (@list @t22 @t71 @t228) (= (tptp.c_HOL_Oplus__class_Oplus @t306 @t307 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t307 @t306 tptp.tc_nat)))) % 0.41/0.69 (assume @p147 (forall @t76 (or @t75 (not (tptp.c_HOL_Oord__class_Oless @t15 @t28 tptp.tc_nat))))) % 0.41/0.69 (assume @p148 (forall @t12 (or @t67 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t309 @t1) @t308 @t1)))) % 0.41/0.69 (assume @p149 (forall @t26 (or @t69 (= (tptp.c_Orderings_Oord__class_Omin @t22 @t294 @t1) @t294)))) % 0.41/0.69 (assume @p150 (forall @t310 (or @t149 (tptp.c_HOL_Oord__class_Oless @t146 (tptp.c_HOL_Otimes__class_Otimes @t71 @t228 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t72 @t228 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t65 @t71 @t1))))) % 0.41/0.69 (assume @p151 (forall @t19 (or (= @t313 @t311) @t312))) % 0.41/0.69 (assume @p152 (forall @t128 (or @t317 @t314))) % 0.41/0.69 (assume @p153 (forall @t321 (or @t320 @t314))) % 0.41/0.69 (assume @p154 (forall @t41 (or @t35 @t323 @t323 @t322))) % 0.41/0.69 (assume @p155 (forall @t26 (or @t63 (= @t153 @t324)))) % 0.41/0.69 (assume @p156 (= (tptp.c_HOL_Oplus__class_Oplus @t27 @t27 tptp.tc_nat) @t27)) % 0.41/0.69 (assume @p157 (forall @t41 (or @t170 @t322))) % 0.41/0.69 (assume @p158 (forall @t19 (= @t17 @t325))) % 0.41/0.69 (assume @p159 (forall @t12 (or @t63 (= @t9 @t14)))) % 0.41/0.69 (assume @p160 (forall @t145 (or @t162 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t282 @t326 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p161 (forall @t41 (or @t67 (= @t328 @t3)))) % 0.41/0.69 (assume @p162 (forall @t145 (or @t257 (= @t329 (tptp.c_HOL_Oplus__class_Oplus @t6 @t142 @t1))))) % 0.41/0.69 (assume @p163 (forall @t145 (or @t257 @t331))) % 0.41/0.69 (assume @p164 (forall @t288 (or @t63 (= @t333 (tptp.c_HOL_Oplus__class_Oplus @t198 @t103 @t1))))) % 0.41/0.69 (assume @p165 (forall @t145 (or @t63 @t335 @t334))) % 0.41/0.69 (assume @p166 (forall @t145 (or @t63 @t335 @t113))) % 0.41/0.69 (assume @p167 (forall @t74 (or @t63 @t115 @t336))) % 0.41/0.69 (assume @p168 (forall (@list @t1 @t6 @t71 @t2) (or @t63 @t114 @t336))) % 0.41/0.69 (assume @p169 (forall @t258 (or @t298 @t338 @t337 @t5))) % 0.41/0.69 (assume @p170 (forall @t19 (= @t339 (tptp.c_HOL_Otimes__class_Otimes @t15 @t27 tptp.tc_nat)))) % 0.41/0.69 (assume @p171 (forall @t19 (= @t120 @t119))) % 0.41/0.69 (assume @p172 (forall (@list @t6 @t342 @t71 @t340) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t6 (tptp.c_Divides_Odiv__class_Omod @t342 @t71 tptp.tc_nat) tptp.tc_nat) @t340 tptp.tc_nat) @t341 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t340 @t6 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t27 @t71 tptp.tc_nat))))) % 0.41/0.69 (assume @p173 (forall @t140 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t343 @t207 @t135))) % 0.41/0.69 (assume @p174 (forall @t140 (or @t344 @t343 @t207 @t135))) % 0.41/0.69 (assume @p175 (forall @t74 (or @t344 @t345 @t207 @t135))) % 0.41/0.69 (assume @p176 (forall @t140 (or @t238 @t343 @t346 @t255))) % 0.41/0.69 (assume @p177 (forall @t74 (or @t238 @t345 @t346 @t255))) % 0.41/0.69 (assume @p178 (forall (@list @t22 @t340 @t71 @t228) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t340 @t71 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t340 @t228 tptp.tc_nat) tptp.tc_nat))) @t347 (= @t340 @t27)))) % 0.41/0.69 (assume @p179 (forall (@list @t1 @t22 @t340 @t71 @t228) (or @t123 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t340 @t71 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t340 @t228 @t1) @t1))) @t347 (= @t340 @t3)))) % 0.41/0.69 (assume @p180 (forall @t26 (or @t25 @t348 @t200))) % 0.41/0.69 (assume @p181 (forall @t26 (or @t25 @t348 @t195))) % 0.41/0.69 (assume @p182 (forall @t76 (not (= @t15 @t20)))) % 0.41/0.69 (assume @p183 (forall @t76 (not (= @t20 @t15)))) % 0.41/0.69 (assume @p184 (forall @t70 (or @t154 (= @t23 @t22)))) % 0.41/0.69 (assume @p185 (forall @t280 (or @t11 @t279 @t207 @t101 @t277 @t276))) % 0.41/0.69 (assume @p186 (forall @t321 (or @t320 @t97))) % 0.41/0.69 (assume @p187 (forall @t128 (or @t317 @t97))) % 0.41/0.69 (assume @p188 (forall @t351 (or (tptp.c_lessequals @t350 @t349 tptp.tc_nat) @t130))) % 0.41/0.69 (assume @p189 (forall @t133 (or (tptp.c_lessequals @t353 @t352 tptp.tc_nat) @t130))) % 0.41/0.69 (assume @p190 (forall @t128 (or (not (= @t356 @t355)) @t94))) % 0.41/0.69 (assume @p191 (forall @t217 (or @t357 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t201 @t1) (tptp.c_HOL_Oplus__class_Oplus @t216 @t215 @t1))))) % 0.41/0.69 (assume @p192 (forall @t145 (or @t162 (= @t358 @t327)))) % 0.41/0.69 (assume @p193 (forall @t74 (or @t162 (= @t359 @t327)))) % 0.41/0.69 (assume @p194 (forall (@list @t1 @t228 @t22 @t43 @t360 @t362) (or @t295 @t365 @t364 (not @t363) @t361))) % 0.41/0.69 (assume @p195 (forall (@list @t1 @t228 @t22 @t362 @t43 @t360) (or @t295 @t365 @t363 (not @t364) @t361))) % 0.41/0.69 (assume @p196 (forall @t19 (or @t366 @t176 @t75))) % 0.41/0.69 (assume @p197 (forall @t19 (or @t366 @t220 @t218))) % 0.41/0.69 (assume @p198 (forall @t12 (or @t238 @t367 @t151 @t101))) % 0.41/0.69 (assume @p199 (forall @t12 (or @t238 @t367 @t32 @t37))) % 0.41/0.69 (assume @p200 (forall @t68 (or @t25 (tptp.c_lessequals @t3 @t368 @t1)))) % 0.41/0.69 (assume @p201 (forall @t12 (or @t25 @t367 @t151 @t101))) % 0.41/0.69 (assume @p202 (forall @t12 (or @t25 @t367 @t32 @t37))) % 0.41/0.69 (assume @p203 (forall @t12 (or @t369 @t367 @t151 @t101))) % 0.41/0.69 (assume @p204 (forall @t12 (or @t67 (tptp.c_lessequals @t309 @t308 @t1)))) % 0.41/0.69 (assume @p205 (forall @t145 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t71 @t1) (tptp.c_HOL_Otimes__class_Otimes @t2 @t203 @t1))))) % 0.41/0.69 (assume @p206 (forall @t371 (or @t63 (= @t370 (tptp.c_HOL_Otimes__class_Otimes @t59 @t56 @t1))))) % 0.41/0.69 (assume @p207 (forall @t371 (or @t63 (= @t370 (tptp.c_HOL_Otimes__class_Otimes @t58 (tptp.c_HOL_Otimes__class_Otimes @t56 @t57 @t1) @t1))))) % 0.41/0.69 (assume @p208 (forall @t373 (or @t63 (= @t372 (tptp.c_HOL_Otimes__class_Otimes @t59 @t55 @t1))))) % 0.41/0.69 (assume @p209 (forall @t373 (or @t63 (= @t372 (tptp.c_HOL_Otimes__class_Otimes @t57 (tptp.c_HOL_Otimes__class_Otimes @t58 @t55 @t1) @t1))))) % 0.41/0.69 (assume @p210 (forall @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t43 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t16 @t318 tptp.tc_nat)))) % 0.41/0.69 (assume @p211 (forall @t288 (or @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t22 (tptp.c_HOL_Otimes__class_Otimes @t21 @t103 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t153 @t103 @t1))))) % 0.41/0.69 (assume @p212 (forall @t145 (or @t63 @t374))) % 0.41/0.69 (assume @p213 (forall @t378 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t189 @t198 @t1) (tptp.c_HOL_Oplus__class_Oplus @t376 @t375 @t1))))) % 0.41/0.69 (assume @p214 (forall @t381 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_HOL_Oplus__class_Oplus @t6 @t379 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t9 @t380 @t1))))) % 0.41/0.69 (assume @p215 (forall @t385 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t198 @t382 @t1) (tptp.c_HOL_Oplus__class_Oplus @t384 @t383 @t1))))) % 0.41/0.69 (assume @p216 (forall @t388 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t2 @t386 @t1) @t6 @t1) (tptp.c_HOL_Oplus__class_Oplus @t9 @t387 @t1))))) % 0.41/0.69 (assume @p217 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t201 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t316 @t315 tptp.tc_nat)))) % 0.41/0.69 (assume @p218 (forall @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t201 @t43 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t319 @t318 tptp.tc_nat)))) % 0.41/0.69 (assume @p219 (forall @t288 (or @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t332 @t1) @t300)))) % 0.41/0.69 (assume @p220 (forall @t145 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t374))) % 0.41/0.69 (assume @p221 (forall @t19 (or @t389 @t109))) % 0.41/0.69 (assume @p222 (forall @t19 (or @t389 @t166))) % 0.41/0.69 (assume @p223 (forall @t68 (or @t170 @t4 (not @t390)))) % 0.41/0.69 (assume @p224 (forall @t68 (or @t170 @t390 @t5))) % 0.41/0.69 (assume @p225 (forall @t12 (or @t25 @t36 @t100 @t391))) % 0.41/0.69 (assume @p226 (forall @t13 (or @t25 @t31 @t100 @t391))) % 0.41/0.69 (assume @p227 (forall @t12 (or @t25 @t36 @t150 @t391))) % 0.41/0.69 (assume @p228 (forall @t13 (or @t25 @t31 @t150 @t391))) % 0.41/0.69 (assume @p229 (forall @t41 (or @t25 (not (tptp.c_HOL_Oord__class_Oless @t3 @t40 @t1))))) % 0.41/0.69 (assume @p230 (forall (@list @t1 @t2 @t16 @t6) (or @t63 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t16 @t1) (tptp.c_HOL_Otimes__class_Otimes @t6 @t16 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t33 @t16 @t1))))) % 0.41/0.69 (assume @p231 (forall @t394 (or (tptp.c_lessequals @t353 (tptp.c_HOL_Otimes__class_Otimes @t42 @t392 tptp.tc_nat) tptp.tc_nat) @t393 @t130))) % 0.41/0.69 (assume @p232 (forall @t275 (tptp.c_lessequals @t16 (tptp.c_HOL_Otimes__class_Otimes @t16 @t395 tptp.tc_nat) tptp.tc_nat))) % 0.41/0.69 (assume @p233 (forall @t280 (or @t398 @t397 @t207 @t151 @t396 @t135))) % 0.41/0.69 (assume @p234 (forall @t280 (or @t398 @t397 @t207 @t101 @t396 @t135))) % 0.41/0.69 (assume @p235 (forall @t90 (or @t401 @t399 @t155))) % 0.41/0.69 (assume @p236 (forall @t90 (or @t401 @t402 @t159))) % 0.41/0.69 (assume @p237 (forall @t90 (or @t159 @t399 @t403))) % 0.41/0.69 (assume @p238 (forall @t95 (or @t402 @t155 @t403))) % 0.41/0.69 (assume @p239 (forall @t19 (or @t408 @t407 @t405))) % 0.41/0.69 (assume @p240 (forall @t19 (or @t408 @t406 @t404))) % 0.41/0.69 (assume @p241 (forall @t19 (or @t404 @t407 @t409))) % 0.41/0.69 (assume @p242 (forall @t252 (or @t406 @t405 @t409))) % 0.41/0.69 (assume @p243 (forall @t19 (or @t409 @t406 @t405))) % 0.41/0.69 (assume @p244 (forall @t19 (or @t409 @t407 @t404))) % 0.41/0.69 (assume @p245 (forall @t19 (or @t404 @t406 @t408))) % 0.41/0.69 (assume @p246 (forall @t252 (or @t407 @t405 @t408))) % 0.41/0.69 (assume @p247 (forall @t19 (or (= @t16 @t20) @t96 (not @t410)))) % 0.41/0.69 (assume @p248 (forall @t140 (or @t25 @t412 @t411 @t212))) % 0.41/0.69 (assume @p249 (forall @t140 (or @t25 @t412 @t411 @t206))) % 0.41/0.69 (assume @p250 (forall @t145 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t141 @t1) @t334 @t113))) % 0.41/0.69 (assume @p251 (forall @t111 (or (not @t413) @t159))) % 0.41/0.69 (assume @p252 (forall @t111 (or @t413 @t155))) % 0.41/0.69 (assume @p253 (forall @t310 (or @t63 (= (tptp.c_HOL_Oplus__class_Oplus @t33 @t415 @t1) (tptp.c_HOL_Oplus__class_Oplus @t142 @t414 @t1))))) % 0.41/0.69 (assume @p254 (forall @t416 (or @t149 (= (tptp.c_HOL_Oabs__class_Oabs @t215 @t1) @t215)))) % 0.41/0.69 (assume @p255 (forall @t288 (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t294 @t103 @t1) (tptp.c_Orderings_Oord__class_Omin @t417 @t332 @t1))))) % 0.41/0.69 (assume @p256 (forall @t321 (or (not (= @t117 @t418)) @t94))) % 0.41/0.69 (assume @p257 (forall @t128 (or (not (= @t126 @t125)) @t94))) % 0.41/0.69 (assume @p258 (forall @t305 (or (not (= @t400 @t420)) @t419))) % 0.41/0.69 (assume @p259 (forall @t288 (or @t123 @t214 (not (= @t198 @t417)) @t419))) % 0.41/0.69 (assume @p260 (forall @t145 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t422 @t421))) % 0.41/0.69 (assume @p261 (forall @t145 (or @t423 @t422 @t421))) % 0.41/0.69 (assume @p262 (forall @t258 (or @t423 (not (= @t161 @t137)) @t421))) % 0.41/0.69 (assume @p263 (forall @t68 (or @t25 (not (tptp.c_HOL_Oord__class_Oless @t368 @t3 @t1))))) % 0.41/0.69 (assume @p264 (forall @t288 (or @t424 (= @t333 (tptp.c_HOL_Oplus__class_Oplus @t21 @t417 @t1))))) % 0.41/0.69 (assume @p265 (forall @t129 (= (tptp.c_HOL_Oplus__class_Oplus @t201 @t43 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t16 @t418 tptp.tc_nat)))) % 0.41/0.69 (assume @p266 (forall @t305 (= (tptp.c_HOL_Oplus__class_Oplus @t22 @t425 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t21 @t420 tptp.tc_nat)))) % 0.41/0.69 (assume @p267 (forall @t145 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t331))) % 0.41/0.69 (assume @p268 (forall @t427 (or @t63 (= @t426 (tptp.c_HOL_Oplus__class_Oplus @t142 @t228 @t1))))) % 0.41/0.69 (assume @p269 (forall @t145 (or @t63 (= @t330 (tptp.c_HOL_Oplus__class_Oplus @t142 @t6 @t1))))) % 0.41/0.69 (assume @p270 (forall @t427 (or @t63 (= @t426 (tptp.c_HOL_Oplus__class_Oplus @t71 (tptp.c_HOL_Oplus__class_Oplus @t2 @t228 @t1) @t1))))) % 0.41/0.69 (assume @p271 (forall @t145 (or @t63 @t331))) % 0.41/0.69 (assume @p272 (forall @t252 (or @t108 @t110 (not @t389)))) % 0.41/0.69 (assume @p273 (forall @t428 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t28 @t43 tptp.tc_nat))) % 0.41/0.69 (assume @p274 (forall @t12 (or @t67 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t33 @t1) @t429 @t1)))) % 0.41/0.69 (assume @p275 (forall @t305 (or @t431 (not @t430)))) % 0.41/0.69 (assume @p276 (forall @t305 (or @t431 (not (tptp.c_lessequals @t22 @t103 tptp.tc_nat))))) % 0.41/0.69 (assume @p277 (forall @t129 (or @t96 @t432))) % 0.41/0.69 (assume @p278 (forall @t434 (or @t433 @t432))) % 0.41/0.69 (assume @p279 (forall @t436 (or (tptp.c_lessequals @t45 @t435 tptp.tc_nat) @t130))) % 0.41/0.69 (assume @p280 (forall @t438 (or (tptp.c_lessequals @t45 @t437 tptp.tc_nat) @t130))) % 0.41/0.69 (assume @p281 (forall @t191 (not (tptp.c_Parity_Oeven__odd__class_Oeven (tptp.c_Suc @t190) tptp.tc_nat)))) % 0.41/0.69 (assume @p282 (forall @t145 (or @t162 (= @t327 @t358)))) % 0.41/0.69 (assume @p283 (forall @t145 (or @t162 (= @t327 @t359)))) % 0.41/0.69 (assume @p284 (forall @t258 (or @t144 @t257 @t338 @t337 @t101))) % 0.41/0.69 (assume @p285 (forall @t252 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t439 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p286 (forall @t128 (or @t441 @t440 @t94))) % 0.41/0.69 (assume @p287 (forall @t128 (or @t314 @t443))) % 0.41/0.69 (assume @p288 (forall @t128 (or @t314 @t445))) % 0.41/0.69 (assume @p289 (forall @t145 (or @t11 @t134 @t446 (not @t345)))) % 0.41/0.69 (assume @p290 (forall @t145 (or @t11 @t134 @t446 @t447))) % 0.41/0.69 (assume @p291 (forall @t140 (or @t25 @t343 @t135 @t446))) % 0.41/0.69 (assume @p292 (forall @t145 (or @t25 @t134 @t447 @t446))) % 0.41/0.69 (assume @p293 (forall @t140 (or @t25 @t343 @t255 @t448))) % 0.41/0.69 (assume @p294 (forall @t258 (or @t25 @t254 @t447 @t448))) % 0.41/0.69 (assume @p295 (forall @t128 (or @t317 @t97 @t440))) % 0.41/0.69 (assume @p296 (forall @t129 (or @t96 @t449 @t440))) % 0.41/0.69 (assume @p297 (forall @t129 (or @t96 @t440 @t449))) % 0.41/0.69 (assume @p298 (forall @t129 (or @t96 @t440 (not @t320)))) % 0.41/0.69 (assume @p299 (forall @t111 (or (= @t22 @t28) (= @t22 @t27) (not (tptp.c_HOL_Oord__class_Oless @t22 @t156 tptp.tc_nat))))) % 0.41/0.69 (assume @p300 (forall (@list @t1 @t22 @t21 @t2 @t6) (or @t377 (= (tptp.c_HOL_Ominus__class_Ominus @t153 @t9 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t451 @t450 @t1) (tptp.c_HOL_Otimes__class_Otimes @t451 @t6 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t2 @t450 @t1) @t1))))) % 0.41/0.69 (assume @p301 (forall @t111 (tptp.c_HOL_Oord__class_Oless @t27 @t452 tptp.tc_nat))) % 0.41/0.69 (assume @p302 (forall @t76 (tptp.c_HOL_Oord__class_Oless @t27 @t20 tptp.tc_nat))) % 0.41/0.69 (assume @p303 (forall @t26 (or @t69 (= @t294 (tptp.c_Orderings_Oord__class_Omin @t21 @t22 @t1))))) % 0.41/0.69 (assume @p304 (forall (@list @t1 @t2 @t229 @t6 @t71) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t235 (tptp.c_HOL_Oplus__class_Oplus @t233 @t71 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t33 @t229 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p305 (forall (@list @t45 @t177 @t42 @t43) (= (tptp.c_HOL_Oplus__class_Oplus @t182 (tptp.c_HOL_Oplus__class_Oplus @t180 @t43 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t52 @t177 tptp.tc_nat) @t43 tptp.tc_nat)))) % 0.41/0.69 (assume @p306 (forall @t19 (or @t110 @t453))) % 0.41/0.69 (assume @p307 (forall @t252 (or @t108 @t453))) % 0.41/0.69 (assume @p308 (forall @t12 (or @t35 @t34 @t38 @t30))) % 0.41/0.69 (assume @p309 (forall @t455 (or @t25 @t195 @t454))) % 0.41/0.69 (assume @p310 (forall @t26 (or @t25 @t200 @t454))) % 0.41/0.69 (assume @p311 (forall @t76 (tptp.c_lessequals @t27 @t15 tptp.tc_nat))) % 0.41/0.69 (assume @p312 (forall @t129 (or @t246 (not @t456)))) % 0.41/0.69 (assume @p313 (forall @t128 (or @t456 @t247))) % 0.41/0.69 (assume @p314 (forall @t252 (or @t251 @t96))) % 0.41/0.69 (assume @p315 (forall @t19 (or @t97 @t253))) % 0.41/0.69 (assume @p316 (forall @t76 (or @t108 @t406))) % 0.41/0.69 (assume @p317 (forall @t19 (tptp.c_lessequals @t193 @t16 tptp.tc_nat))) % 0.41/0.69 (assume @p318 (forall @t129 (or (tptp.c_lessequals @t16 (tptp.c_HOL_Ominus__class_Ominus @t439 @t43 tptp.tc_nat) tptp.tc_nat) @t457))) % 0.41/0.69 (assume @p319 (forall @t19 (or (not @t312) (= @t313 @t27)))) % 0.41/0.69 (assume @p320 (forall @t68 (or @t67 @t102 @t5))) % 0.41/0.69 (assume @p321 (forall @t145 (or @t162 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t2 @t326 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p322 (forall @t145 (or @t162 (= @t281 @t283)))) % 0.41/0.69 (assume @p323 (forall @t19 (or @t366 @t176 @t218))) % 0.41/0.69 (assume @p324 (forall @t19 (or @t366 @t220 @t75))) % 0.41/0.69 (assume @p325 (forall @t129 (or @t96 (not @t458)))) % 0.41/0.69 (assume @p326 (forall @t128 (or @t458 @t97))) % 0.41/0.69 (assume @p327 (forall @t26 (or @t25 @t459 @t195))) % 0.41/0.69 (assume @p328 (forall @t26 (or @t25 @t459 @t200))) % 0.41/0.69 (assume @p329 (forall @t460 (or @t298 (not (tptp.c_HOL_Oord__class_Oless @t216 @t3 @t1))))) % 0.41/0.69 (assume @p330 (forall @t76 (tptp.c_lessequals @t20 @t20 tptp.tc_nat))) % 0.41/0.69 (assume @p331 (forall @t111 (or @t159 (not @t461)))) % 0.41/0.69 (assume @p332 (forall @t111 (or @t461 @t155))) % 0.41/0.69 (assume @p333 (forall @t275 (or @t218 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t16 @t28 tptp.tc_nat))))) % 0.41/0.69 (assume @p334 (forall @t275 (tptp.c_lessequals @t16 @t395 tptp.tc_nat))) % 0.41/0.69 (assume @p335 (forall @t19 (= (tptp.c_Orderings_Oord__class_Omin @t18 @t20 tptp.tc_nat) (tptp.c_Suc @t462)))) % 0.41/0.69 (assume @p336 (forall @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t193 @t43 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t319 @t318 tptp.tc_nat)))) % 0.41/0.69 (assume @p337 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t193 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t316 @t315 tptp.tc_nat)))) % 0.41/0.69 (assume @p338 (forall @t140 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t211 @t446 @t276))) % 0.41/0.69 (assume @p339 (forall @t74 (or @t25 @t205 @t464 @t448))) % 0.41/0.69 (assume @p340 (forall @t74 (or @t25 @t205 @t276 @t446))) % 0.41/0.69 (assume @p341 (forall @t74 (or @t11 @t205 @t446 @t276))) % 0.41/0.69 (assume @p342 (forall @t74 (or @t25 @t205 @t448 @t464))) % 0.41/0.69 (assume @p343 (forall @t140 (or @t25 @t211 @t464 @t448))) % 0.41/0.69 (assume @p344 (forall @t140 (or @t25 @t211 @t276 @t446))) % 0.41/0.69 (assume @p345 (forall @t140 (or @t11 @t211 @t446 @t276))) % 0.41/0.69 (assume @p346 (forall @t140 (or @t25 @t211 @t448 @t464))) % 0.41/0.69 (assume @p347 (forall @t145 (or @t25 @t208 @t212 @t446))) % 0.41/0.69 (assume @p348 (forall @t258 (or @t25 @t463 @t212 @t448))) % 0.41/0.69 (assume @p349 (forall @t128 (or @t442 @t247 @t440))) % 0.41/0.69 (assume @p350 (forall @t129 (or @t246 @t443 @t440))) % 0.41/0.69 (assume @p351 (forall @t133 (or (tptp.c_HOL_Oord__class_Oless @t353 @t352 tptp.tc_nat) @t440 @t465))) % 0.41/0.69 (assume @p352 (forall @t351 (or (tptp.c_HOL_Oord__class_Oless @t350 @t349 tptp.tc_nat) @t440 @t465))) % 0.41/0.69 (assume @p353 (forall @t321 (or @t444 @t247 @t440))) % 0.41/0.69 (assume @p354 (forall @t145 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t2 @t203 @t1) @t6 @t1) @t160)))) % 0.41/0.69 (assume @p355 (forall @t74 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t2 @t209 @t1) @t6 @t1) @t160)))) % 0.41/0.69 (assume @p356 (forall @t434 (= (tptp.c_Divides_Odiv__class_Omod @t466 @t15 tptp.tc_nat) @t193))) % 0.41/0.69 (assume @p357 (forall @t145 (or @t123 @t112 @t468 (not @t467)))) % 0.41/0.69 (assume @p358 (forall @t145 (or @t123 @t112 @t468 (not @t469)))) % 0.41/0.69 (assume @p359 (forall @t129 (or @t91 @t472 @t471))) % 0.41/0.69 (assume @p360 (forall @t460 (or @t298 (tptp.c_lessequals @t3 @t216 @t1)))) % 0.41/0.69 (assume @p361 (forall @t12 (or @t25 @t163 @t32 @t101))) % 0.41/0.69 (assume @p362 (forall @t12 (or @t25 @t163 @t151 @t37))) % 0.41/0.69 (assume @p363 (forall @t12 (or @t369 @t163 @t32 @t101))) % 0.41/0.69 (assume @p364 (forall @t12 (or @t369 @t163 @t151 @t37))) % 0.41/0.69 (assume @p365 (forall @t13 (or @t369 (tptp.c_lessequals @t14 @t3 @t1) @t32 @t101))) % 0.41/0.69 (assume @p366 (forall @t41 (or @t67 (tptp.c_lessequals @t328 @t3 @t1)))) % 0.41/0.69 (assume @p367 (forall @t12 (or @t35 @t473 @t8 @t101))) % 0.41/0.69 (assume @p368 (forall @t12 (or @t35 @t473 @t151 @t5))) % 0.41/0.69 (assume @p369 (forall @t13 (or @t162 @t474 @t113))) % 0.41/0.69 (assume @p370 (forall @t13 (or @t162 (not @t474) @t112))) % 0.41/0.69 (assume @p371 (forall @t68 (or @t63 @t66 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t3 @t2 @t1))))) % 0.41/0.69 (assume @p372 (forall @t41 (or @t357 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t27 @t1) @t3)))) % 0.41/0.69 (assume @p373 (forall @t19 (or (tptp.c_HOL_Oord__class_Oless @t28 @t17 tptp.tc_nat) @t476 @t475))) % 0.41/0.69 (assume @p374 (forall @t19 (= @t478 @t477))) % 0.41/0.69 (assume @p375 (forall @t19 (or @t479 @t220 @t75))) % 0.41/0.69 (assume @p376 (forall @t19 (or @t479 @t176 @t218))) % 0.41/0.69 (assume @p377 (= @t28 @t480)) % 0.41/0.69 (assume @p378 (forall @t288 (or @t69 (= (tptp.c_Orderings_Oord__class_Omin @t294 @t103 @t1) @t481)))) % 0.41/0.69 (assume @p379 (forall @t288 (or @t69 (= @t481 (tptp.c_Orderings_Oord__class_Omin @t21 (tptp.c_Orderings_Oord__class_Omin @t22 @t103 @t1) @t1))))) % 0.41/0.69 (assume @p380 (forall @t483 (or @t482 @t107 @t104 @t87 @t89))) % 0.41/0.69 (assume @p381 (forall @t19 (or (tptp.c_HOL_Oord__class_Oless @t193 @t15 tptp.tc_nat) @t109))) % 0.41/0.69 (assume @p382 (forall @t26 (or @t69 @t484 @t78))) % 0.41/0.69 (assume @p383 (forall @t26 (or @t69 (not @t484) @t77))) % 0.41/0.69 (assume @p384 (forall @t26 (or @t69 (= @t294 @t21) @t80))) % 0.41/0.69 (assume @p385 (forall (@list @t1 @t22 @t21 @t103 @t177) (or @t424 (not (= @t333 (tptp.c_HOL_Oplus__class_Oplus @t21 @t177 @t1))) (= @t417 @t177)))) % 0.41/0.69 (assume @p386 (forall @t252 (or @t487 @t486))) % 0.41/0.69 (assume @p387 (forall @t19 (or @t488 @t486))) % 0.41/0.69 (assume @p388 (forall @t12 (or @t35 (tptp.c_lessequals @t3 @t33 @t1) @t151 @t101))) % 0.41/0.69 (assume @p389 (forall @t19 (or @t489 @t97))) % 0.41/0.69 (assume @p390 (forall @t19 (or @t96 @t490))) % 0.41/0.69 (assume @p391 (forall @t111 (or (not @t492) @t491))) % 0.41/0.69 (assume @p392 (forall @t394 (or (tptp.c_lessequals @t132 @t493 tptp.tc_nat) @t393 @t130))) % 0.41/0.69 (assume @p393 (forall @t280 (or @t139 (tptp.c_lessequals @t142 @t414 @t1) @t396 @t135))) % 0.41/0.69 (assume @p394 (forall @t185 (or (= @t494 (tptp.c_HOL_Ominus__class_Ominus @t187 @t15 tptp.tc_nat)) @t188))) % 0.41/0.69 (assume @p395 (forall @t185 (or (= @t494 (tptp.c_HOL_Ominus__class_Ominus @t16 @t179 tptp.tc_nat)) @t130))) % 0.41/0.69 (assume @p396 (forall @t68 (or @t170 @t100 (not @t495)))) % 0.41/0.69 (assume @p397 (forall @t68 (or @t170 @t495 @t101))) % 0.41/0.69 (assume @p398 (forall @t12 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t160 @t6 @t1) @t160)))) % 0.41/0.69 (assume @p399 (forall @t310 (or @t67 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t33 @t415 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t2 @t71 @t1) @t1) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t6 @t228 @t1) @t1) @t1) @t1)))) % 0.41/0.69 (assume @p400 (forall @t258 (or @t144 @t257 @t338 @t259 @t5))) % 0.41/0.69 (assume @p401 (forall @t19 (or @t496 @t97))) % 0.41/0.69 (assume @p402 (forall @t19 (or @t497 @t96))) % 0.41/0.69 (assume @p403 (forall @t434 (or @t502 @t99 @t501 @t499))) % 0.41/0.69 (assume @p404 (forall @t128 (or @t500 @t99 @t503 @t499))) % 0.41/0.69 (assume @p405 (forall (@list @t1 @t2 @t229 @t71 @t6) (or @t271 (= @t236 (tptp.c_HOL_Oplus__class_Oplus @t233 @t243 @t1))))) % 0.41/0.69 (assume @p406 (forall @t128 (or @t470 @t92))) % 0.41/0.69 (assume @p407 (forall @t140 (or @t123 @t469 @t113))) % 0.41/0.69 (assume @p408 (forall @t74 (or @t123 @t467 @t113))) % 0.41/0.69 (assume @p409 (forall @t68 (or @t67 (= (tptp.c_HOL_Oabs__class_Oabs @t65 @t1) @t65)))) % 0.41/0.69 (assume @p410 (forall @t19 (= @t478 @t504))) % 0.41/0.69 (assume @p411 (forall @t19 (= @t477 @t504))) % 0.41/0.69 (assume @p412 (forall @t239 (or @t271 @t505 (= @t243 @t228)))) % 0.41/0.69 (assume @p413 (forall @t239 (or @t271 @t505 (= @t71 @t231)))) % 0.41/0.69 (assume @p414 (forall @t68 (or @t67 (tptp.c_HOL_Oord__class_Oless @t3 @t65 @t1) @t66))) % 0.41/0.69 (assume @p415 (forall @t90 (or @t506 @t402))) % 0.41/0.69 (assume @p416 (forall @t90 (or @t506 @t159))) % 0.41/0.69 (assume @p417 (forall @t68 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t3 @t1) @t2)))) % 0.41/0.69 (assume @p418 (forall @t68 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t2 @t1) @t3)))) % 0.41/0.69 (assume @p419 (forall (@list @t1 @t2 @t71) (or @t63 (= @t142 @t137)))) % 0.41/0.69 (assume @p420 (forall @t19 (= @t201 @t439))) % 0.41/0.69 (assume @p421 (forall @t26 (or @t63 (= @t198 (tptp.c_HOL_Oplus__class_Oplus @t21 @t22 @t1))))) % 0.41/0.69 (assume @p422 (forall @t12 (or @t257 (= @t33 @t161)))) % 0.41/0.69 (assume @p423 (forall @t145 (or @t162 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t282 @t326 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p424 (forall @t321 (or (not (= @t319 @t318)) @t472 @t94))) % 0.41/0.69 (assume @p425 (forall @t128 (or @t441 @t472 @t94))) % 0.41/0.69 (assume @p426 (forall @t128 (or @t441 @t94 @t472))) % 0.41/0.69 (assume @p427 (forall @t293 (or @t69 @t289 @t507))) % 0.41/0.69 (assume @p428 (forall (@list @t1 @t22 @t6 @t2) (or @t69 @t290 @t507))) % 0.41/0.69 (assume @p429 (forall @t509 (or @t69 @t508 (not (tptp.c_lessequals @t2 @t22 @t1))))) % 0.41/0.69 (assume @p430 (forall @t509 (or @t69 @t508 (not (tptp.c_lessequals @t6 @t22 @t1))))) % 0.41/0.69 (assume @p431 (forall @t288 (or @t69 @t510 @t285))) % 0.41/0.69 (assume @p432 (forall @t288 (or @t69 @t510 @t512))) % 0.41/0.69 (assume @p433 (forall @t288 (or @t69 @t77 @t513))) % 0.41/0.69 (assume @p434 (forall @t514 (or @t69 @t284 @t513))) % 0.41/0.69 (assume @p435 (forall (@list @t515 @t272) (or (not (= (tptp.c_Suc @t515) @t273)) (= @t515 @t272)))) % 0.41/0.69 (assume @p436 (forall @t90 (or (not (= @t452 (tptp.c_Suc @t21))) @t81))) % 0.41/0.69 (assume @p437 (forall @t68 (or @t67 (tptp.c_lessequals @t2 @t65 @t1)))) % 0.41/0.69 (assume @p438 (forall @t516 (or @t69 @t511 @t284 (not @t510)))) % 0.41/0.69 (assume @p439 (forall (@list @t45 @t42 @t177 @t15) (or @t130 (= (tptp.c_HOL_Oplus__class_Oplus @t182 @t179 tptp.tc_nat) @t181)))) % 0.41/0.69 (assume @p440 (forall @t519 (or @t162 @t518 @t517 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t386 @t379 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p441 (tptp.c_HOL_Oord__class_Oless @t27 @t28 tptp.tc_nat)) % 0.41/0.69 (assume @p442 (forall @t19 (or @t479 @t176 @t75))) % 0.41/0.69 (assume @p443 (forall @t19 (or @t479 @t220 @t218))) % 0.41/0.69 (assume @p444 (forall @t522 (or @t521 (not @t520)))) % 0.41/0.69 (assume @p445 (forall @t50 (or @t520 (not @t521)))) % 0.41/0.69 (assume @p446 (tptp.c_Parity_Oeven__odd__class_Oeven @t27 tptp.tc_nat)) % 0.41/0.69 (assume @p447 (forall @t270 (or @t525 @t524 @t188))) % 0.41/0.69 (assume @p448 (forall @t185 (or @t523 (not @t525) @t188))) % 0.41/0.69 (assume @p449 (forall @t268 (or @t526 @t524 @t130))) % 0.41/0.69 (assume @p450 (forall @t185 (or @t523 (not @t526) @t130))) % 0.41/0.69 (assume @p451 (forall @t217 (or @t357 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17 @t1) (tptp.c_HOL_Otimes__class_Otimes @t216 @t215 @t1))))) % 0.41/0.69 (assume @p452 (forall @t434 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t466) @t15 tptp.tc_nat) @t313))) % 0.41/0.69 (assume @p453 (forall (@list @t2 @t71 @t6 @t228) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t71 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t6 @t228 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t228 tptp.tc_nat) @t341 tptp.tc_nat))) @t347 @t83))) % 0.41/0.69 (assume @p454 (forall (@list @t527 @t21 @t22 @t103) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t527 @t21 tptp.tc_nat) @t304 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t527 @t103 tptp.tc_nat) @t303 tptp.tc_nat))) @t419 @t528))) % 0.41/0.69 (assume @p455 (forall @t280 (or @t123 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus @t204 @t278 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t2 @t228 @t1) @t203 @t1))) @t347 @t83))) % 0.41/0.69 (assume @p456 (forall (@list @t1 @t527 @t21 @t22 @t103) (or @t123 @t214 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t527 @t21 @t1) @t299 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t527 @t103 @t1) @t153 @t1))) @t419 @t528))) % 0.41/0.69 (assume @p457 (forall @t68 (or @t149 (= (tptp.c_HOL_Otimes__class_Otimes @t65 @t65 @t1) @t368)))) % 0.41/0.69 (assume @p458 (forall @t519 (or @t162 @t518 @t517 (= @t281 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t386 @t379 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p459 (forall @t416 (or @t298 (tptp.c_lessequals @t3 @t215 @t1)))) % 0.41/0.69 (assume @p460 (forall @t68 (or @t530 @t529))) % 0.41/0.69 (assume @p461 (forall @t68 (or @t530 @t531))) % 0.41/0.69 (assume @p462 (forall @t68 (or @t257 @t529))) % 0.41/0.69 (assume @p463 (forall @t70 (or @t123 @t214 (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t3 @t1))))) % 0.41/0.69 (assume @p464 (forall @t70 (or @t63 (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t22 @t1) @t22)))) % 0.41/0.69 (assume @p465 (forall @t68 (or @t257 @t531))) % 0.41/0.69 (assume @p466 (forall @t111 (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t27 tptp.tc_nat)))) % 0.41/0.69 (assume @p467 (forall @t275 (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t27 tptp.tc_nat) @t16))) % 0.41/0.69 (assume @p468 (forall @t76 (= (tptp.c_HOL_Oplus__class_Oplus @t27 @t15 tptp.tc_nat) @t15))) % 0.41/0.69 (assume @p469 (forall @t68 (or @t63 @t529))) % 0.41/0.69 (assume @p470 (forall @t68 (or @t63 @t531))) % 0.41/0.69 (assume @p471 (forall @t280 (or @t533 @t532 @t396 @t276))) % 0.41/0.69 (assume @p472 (forall @t280 (or @t533 @t532 @t277 @t135))) % 0.41/0.69 (assume @p473 (forall @t483 (or @t482 @t107 @t104 @t89))) % 0.41/0.69 (assume @p474 (forall @t483 (or @t482 @t104 @t87 @t89))) % 0.41/0.69 (assume @p475 (forall @t538 (or @t82 @t537 @t536 @t535))) % 0.41/0.69 (assume @p476 (forall @t538 (or @t82 @t537 @t540 @t80))) % 0.41/0.69 (assume @p477 (forall @t514 (or @t544 @t543 @t512 @t542))) % 0.41/0.69 (assume @p478 (forall @t514 (or @t544 @t543 @t546 @t78))) % 0.41/0.69 (assume @p479 (forall @t74 (or @t533 @t547 @t276))) % 0.41/0.69 (assume @p480 (forall @t74 (or @t144 @t547 @t276))) % 0.41/0.69 (assume @p481 (forall @t145 (or @t144 @t208 (not @t547)))) % 0.41/0.69 (assume @p482 (forall @t140 (or @t533 @t548 @t276))) % 0.41/0.69 (assume @p483 (forall @t140 (or @t144 @t548 @t276))) % 0.41/0.69 (assume @p484 (forall @t145 (or @t144 @t208 (not @t548)))) % 0.41/0.69 (assume @p485 (forall @t26 (or @t544 @t77 @t542))) % 0.41/0.69 (assume @p486 (forall @t26 (or @t82 @t77 @t542))) % 0.41/0.69 (assume @p487 (forall @t280 (or @t533 @t532 @t277 @t276))) % 0.41/0.69 (assume @p488 (forall @t26 (or @t544 @t541 @t79 @t78))) % 0.41/0.69 (assume @p489 (forall @t516 (or @t69 @t545 @t543 (not @t549)))) % 0.41/0.69 (assume @p490 (forall @t12 (or @t149 @t208 (not (tptp.c_HOL_Oord__class_Oless @t65 @t6 @t1))))) % 0.41/0.69 (assume @p491 (forall @t258 (or @t25 @t463 @t208 @t206))) % 0.41/0.69 (assume @p492 (forall @t258 (or @t25 @t463 @t208 @t212))) % 0.41/0.69 (assume @p493 (forall @t13 (or @t82 @t463 @t83 @t255))) % 0.41/0.69 (assume @p494 (forall @t13 (or @t82 @t463 @t255 @t83))) % 0.41/0.69 (assume @p495 (forall @t26 (or @t69 @t81 @t541 @t78))) % 0.41/0.69 (assume @p496 (forall @t26 (or @t69 @t81 @t78 @t541))) % 0.41/0.69 (assume @p497 (forall @t12 (or @t82 @t208 @t135 @t83))) % 0.41/0.69 (assume @p498 (forall @t12 (or @t82 @t208 @t83 @t135))) % 0.41/0.69 (assume @p499 (forall @t26 (or @t82 @t81 @t541 @t78))) % 0.41/0.69 (assume @p500 (forall @t26 (or @t82 @t541 @t81 @t78))) % 0.41/0.69 (assume @p501 (forall @t538 (or @t69 @t550 @t540 (not @t537)))) % 0.41/0.69 (assume @p502 (forall @t455 (or @t544 @t80 @t542))) % 0.41/0.69 (assume @p503 (forall @t26 (or @t69 @t541 @t79))) % 0.41/0.69 (assume @p504 (forall @t70 (or @t69 (not @t553) @t552))) % 0.41/0.69 (assume @p505 (forall @t70 (or @t69 @t551 @t553))) % 0.41/0.69 (assume @p506 (forall @t26 (or @t69 @t542 @t80))) % 0.41/0.69 (assume @p507 (forall @t455 (or @t69 @t79 @t541))) % 0.41/0.69 (assume @p508 (forall @t455 (or @t69 @t534 @t77))) % 0.41/0.69 (assume @p509 (forall @t26 (or @t69 @t78 @t535))) % 0.41/0.69 (assume @p510 (forall @t288 (or @t69 @t549 @t546))) % 0.41/0.69 (assume @p511 (forall @t288 (or @t69 @t549 (not @t543)))) % 0.41/0.69 (assume @p512 (forall (@list @t1 @t103 @t21 @t22) (or @t69 @t539 @t554))) % 0.41/0.69 (assume @p513 (forall @t538 (or @t69 @t537 @t554))) % 0.41/0.69 (assume @p514 (forall @t509 (or @t69 @t555 (not (tptp.c_HOL_Oord__class_Oless @t6 @t22 @t1))))) % 0.41/0.69 (assume @p515 (forall @t509 (or @t69 @t555 (not (tptp.c_HOL_Oord__class_Oless @t2 @t22 @t1))))) % 0.41/0.69 (assume @p516 (forall @t559 (or @t149 @t558 @t557))) % 0.41/0.69 (assume @p517 (forall @t239 (or @t238 @t561 (not @t560)))) % 0.41/0.69 (assume @p518 (forall @t241 (or @t238 @t560 @t562))) % 0.41/0.69 (assume @p519 (forall @t239 (or @t238 @t561 (not @t563)))) % 0.41/0.69 (assume @p520 (forall @t245 (or @t238 @t563 @t562))) % 0.41/0.69 (assume @p521 (forall @t559 (or @t149 @t556 (not @t558) (not @t564)))) % 0.41/0.69 (assume @p522 (forall @t519 (or @t566 @t518 @t517 (= @t565 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t386 @t379 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p523 (forall @t288 (or @t568 (= (tptp.c_HOL_Ominus__class_Ominus @t294 @t103 @t1) (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t22 @t103 @t1) @t567 @t1))))) % 0.41/0.69 (assume @p524 (forall @t145 (or @t566 (= @t565 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t2 @t326 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p525 (forall @t145 (or @t566 (= @t565 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t282 @t6 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p526 (forall @t145 (or @t566 (= @t565 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t282 @t326 @t1) @t71 @t1))))) % 0.41/0.69 (assume @p527 (forall @t12 (or @t67 (= @t308 (tptp.c_HOL_Oabs__class_Oabs @t230 @t1))))) % 0.41/0.69 (assume @p528 (forall @t575 (or @t568 @t574 @t571 @t80))) % 0.41/0.69 (assume @p529 (forall @t575 (or @t568 @t574 @t79 (not @t571)))) % 0.41/0.69 (assume @p530 (forall @t288 (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t1)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t567 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t103 @t1)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t21 @t1))))) % 0.41/0.69 (assume @p531 (forall @t70 (or @t424 @t577))) % 0.41/0.69 (assume @p532 (forall @t70 (or @t578 @t577))) % 0.41/0.69 (assume @p533 (forall @t68 (or @t578 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t2)))) % 0.41/0.69 (assume @p534 (forall @t68 (or @t578 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1) @t3)))) % 0.41/0.69 (assume @p535 (forall @t70 (or @t123 @t214 @t577))) % 0.41/0.69 (assume @p536 (forall @t12 (or @t578 (= (tptp.c_HOL_Oplus__class_Oplus @t242 @t6 @t1) @t2)))) % 0.41/0.69 (assume @p537 (forall @t12 (or @t424 @t579 @t83))) % 0.41/0.69 (assume @p538 (forall @t12 (or @t578 @t579 @t83))) % 0.41/0.69 (assume @p539 (forall @t26 (or @t123 @t214 (not (= @t573 @t3)) @t81))) % 0.41/0.69 (assume @p540 (forall @t378 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t189 @t573 @t1) (tptp.c_HOL_Ominus__class_Ominus @t376 @t375 @t1))))) % 0.41/0.69 (assume @p541 (forall @t381 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_HOL_Ominus__class_Ominus @t6 @t379 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t9 @t380 @t1))))) % 0.41/0.69 (assume @p542 (forall @t388 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t2 @t386 @t1) @t6 @t1) (tptp.c_HOL_Ominus__class_Ominus @t9 @t387 @t1))))) % 0.41/0.69 (assume @p543 (forall @t385 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t573 @t382 @t1) (tptp.c_HOL_Ominus__class_Ominus @t384 @t383 @t1))))) % 0.41/0.69 (assume @p544 (forall @t280 (or @t424 (= (tptp.c_HOL_Ominus__class_Ominus @t142 @t414 @t1) (tptp.c_HOL_Oplus__class_Oplus @t242 (tptp.c_HOL_Ominus__class_Ominus @t71 @t228 @t1) @t1))))) % 0.41/0.69 (assume @p545 (forall @t12 (or @t578 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t6 @t1) @t2)))) % 0.41/0.69 (assume @p546 (forall @t128 (or @t580 @t247))) % 0.41/0.69 (assume @p547 (forall @t129 (or @t246 (not @t580)))) % 0.41/0.69 (assume @p548 (forall @t133 (or (tptp.c_HOL_Oord__class_Oless @t132 @t131 tptp.tc_nat) @t465))) % 0.41/0.69 (assume @p549 (forall @t581 (not (tptp.c_HOL_Oord__class_Oless @t52 @t45 tptp.tc_nat)))) % 0.41/0.69 (assume @p550 (forall (@list @t42 @t45) (not (tptp.c_HOL_Oord__class_Oless @t48 @t45 tptp.tc_nat)))) % 0.41/0.69 (assume @p551 (not (tptp.c_HOL_Oord__class_Oless @t27 @t27 tptp.tc_nat))) % 0.41/0.69 (assume @p552 (forall @t76 (or @t108 @t75))) % 0.41/0.69 (assume @p553 (forall @t90 (or @t430 @t583))) % 0.41/0.69 (assume @p554 (forall @t19 (or @t96 @t247))) % 0.41/0.69 (assume @p555 (forall @t394 (or (tptp.c_HOL_Oord__class_Oless @t132 @t493 tptp.tc_nat) @t584 @t465))) % 0.41/0.69 (assume @p556 (forall @t19 (or @t94 @t246 @t490))) % 0.41/0.69 (assume @p557 (forall @t19 (or @t94 @t586 @t250))) % 0.41/0.69 (assume @p558 (forall @t252 (or @t587 @t586 @t250))) % 0.41/0.69 (assume @p559 (forall @t111 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t22 @t27 tptp.tc_nat))) % 0.41/0.69 (assume @p560 (forall @t68 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t3 @t1)))) % 0.41/0.69 (assume @p561 (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t28 tptp.tc_nat) @t28)) % 0.41/0.69 (assume @p562 (forall @t68 (or @t63 @t588))) % 0.41/0.69 (assume @p563 (forall @t68 (or @t63 @t589))) % 0.41/0.69 (assume @p564 (forall (@list @t1 @t21) (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t21 @t1) @t3)))) % 0.41/0.69 (assume @p565 (forall @t591 (or @t377 @t590))) % 0.41/0.69 (assume @p566 (forall @t275 (= @t339 @t27))) % 0.41/0.69 (assume @p567 (forall @t76 (= @t119 @t27))) % 0.41/0.69 (assume @p568 (forall @t68 (or @t377 @t589))) % 0.41/0.69 (assume @p569 (forall @t70 (or @t377 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t3 @t1) @t3)))) % 0.41/0.69 (assume @p570 (forall @t70 (or @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t22 @t1) @t3)))) % 0.41/0.69 (assume @p571 (forall @t68 (or @t592 @t588))) % 0.41/0.69 (assume @p572 (forall @t68 (or @t592 @t589))) % 0.41/0.69 (assume @p573 (forall @t591 (or @t174 @t590))) % 0.41/0.69 (assume @p574 (forall @t68 (or @t174 @t589))) % 0.41/0.69 (assume @p575 (forall @t54 (or (= (tptp.c_HOL_Ominus__class_Ominus @t45 @t46 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t132 @t42 tptp.tc_nat)) @t44))) % 0.41/0.69 (assume @p576 (forall @t275 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t28 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p577 (forall @t455 (or @t149 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t21 @t1) @t22 @t1) (tptp.c_HOL_Oabs__class_Oabs @t324 @t1)) @t196))) % 0.41/0.69 (assume @p578 (forall @t594 (or @t593 @t503))) % 0.41/0.69 (assume @p579 (forall @t594 (or @t502 (not @t593)))) % 0.41/0.69 (assume @p580 (forall @t597 (or @t149 @t596 (not @t595)))) % 0.41/0.69 (assume @p581 (forall @t597 (or @t149 @t595 @t598))) % 0.41/0.69 (assume @p582 (forall @t597 (or @t149 @t596 (not @t600)))) % 0.41/0.69 (assume @p583 (forall @t597 (or @t149 @t600 @t598))) % 0.41/0.69 (assume @p584 (= @t28 @t296)) % 0.41/0.69 (assume @p585 (forall (@list @t45 @t43) (or (not (tptp.c_lessequals @t45 @t601 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t601 @t45 tptp.tc_nat) @t43)))) % 0.41/0.69 (assume @p586 (forall @t12 (or @t35 @t473 @t8 @t5))) % 0.41/0.69 (assume @p587 (forall (@list @t43 @t22) (tptp.c_lessequals @t43 (tptp.c_HOL_Oplus__class_Oplus @t43 @t22 tptp.tc_nat) tptp.tc_nat))) % 0.41/0.69 (assume @p588 (forall @t264 (tptp.c_lessequals @t16 @t263 tptp.tc_nat))) % 0.41/0.69 (assume @p589 (forall @t252 (tptp.c_lessequals @t15 @t201 tptp.tc_nat))) % 0.41/0.69 (assume @p590 (forall @t252 (tptp.c_lessequals @t15 @t439 tptp.tc_nat))) % 0.41/0.69 (assume @p591 (forall @t252 (or @t93 @t247 @t166))) % 0.41/0.69 (assume @p592 (forall @t12 (or @t568 @t602 @t135))) % 0.41/0.69 (assume @p593 (forall @t12 (or @t568 @t134 (not @t602)))) % 0.41/0.69 (assume @p594 (forall @t275 (not (= @t18 @t27)))) % 0.41/0.69 (assume @p595 (forall @t274 (not (= @t273 @t27)))) % 0.41/0.69 (assume @p596 (forall @t68 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t65 @t3 @t1))))) % 0.41/0.69 (assume @p597 (forall @t19 (or (= (tptp.c_HOL_Oplus__class_Oplus @t192 @t15 tptp.tc_nat) @t16) @t99))) % 0.41/0.69 (assume @p598 (forall @t252 (or @t603 @t99))) % 0.41/0.69 (assume @p599 (forall @t581 (or @t130 (= @t42 (tptp.c_HOL_Oplus__class_Oplus @t178 @t45 tptp.tc_nat))))) % 0.41/0.69 (assume @p600 (forall @t129 (or @t91 @t440 @t471))) % 0.41/0.69 (assume @p601 (forall @t129 (or @t91 @t471 @t440))) % 0.41/0.69 (assume @p602 (forall @t128 (or @t470 @t92 @t440))) % 0.41/0.69 (assume @p603 (forall @t522 (or (= @t47 @t49) @t44))) % 0.41/0.69 (assume @p604 (forall @t54 (or (= @t51 @t53) @t44))) % 0.41/0.69 (assume @p605 (forall (@list @t22 @t15 @t189 @t21 @t604) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t15 @t189 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t21 (tptp.c_HOL_Otimes__class_Otimes @t15 @t604 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t22 @t15 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t21 @t15 tptp.tc_nat))))) % 0.41/0.69 (assume @p606 (forall @t416 (or @t298 @t108 (not @t605)))) % 0.41/0.69 (assume @p607 (forall @t416 (or @t298 @t605 @t109))) % 0.41/0.69 (assume @p608 (forall @t280 (or @t11 @t279 @t207 @t5 @t277 @t135))) % 0.41/0.69 (assume @p609 (forall @t280 (or @t11 @t279 @t446 @t101 @t396 @t276))) % 0.41/0.69 (assume @p610 (forall @t12 (or @t67 (tptp.c_lessequals @t308 @t429 @t1)))) % 0.41/0.69 (assume @p611 (forall @t19 (or @t410 @t97))) % 0.41/0.69 (assume @p612 (forall @t19 (or @t96 @t249))) % 0.41/0.69 (assume @p613 (forall @t252 (or (tptp.c_HOL_Oord__class_Oless @t15 @t325 tptp.tc_nat) @t476 @t475))) % 0.41/0.69 (assume @p614 (forall @t252 (or (tptp.c_HOL_Oord__class_Oless @t15 @t17 tptp.tc_nat) @t476 @t475))) % 0.41/0.69 (assume @p615 (forall @t76 (not (tptp.c_lessequals @t20 @t15 tptp.tc_nat)))) % 0.41/0.69 (assume @p616 (forall @t145 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t160 @t71 @t1) @t282) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t71 @t6 @t1))))) % 0.41/0.69 (assume @p617 (forall @t68 (or @t170 @t36 (not @t606)))) % 0.41/0.69 (assume @p618 (forall @t68 (or @t170 @t606 @t37))) % 0.41/0.69 (assume @p619 (forall @t68 (or @t69 @t73 @t102 @t29))) % 0.41/0.69 (assume @p620 (forall @t68 (or (not (tptp.class_Ring__and__Field_Oabs__if @t1)) @t102 @t29))) % 0.41/0.69 (assume @p621 (forall @t280 (or @t63 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t204 @t278 @t1) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t71 @t228 @t1)) @t113))) % 0.41/0.69 (assume @p622 (tptp.c_lessequals @t27 @t27 tptp.tc_nat)) % 0.41/0.69 (assume @p623 (forall @t12 (or @t67 (= (tptp.c_HOL_Oabs__class_Oabs @t429 @t1) @t429)))) % 0.41/0.69 (assume @p624 (forall @t19 (= @t313 (tptp.c_Divides_Odiv__class_Omod @t311 @t15 tptp.tc_nat)))) % 0.41/0.69 (assume @p625 (forall @t68 (or @t67 (not (= @t65 @t3)) @t66))) % 0.41/0.69 (assume @p626 (forall @t41 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t3 @t328 @t1))))) % 0.41/0.69 (assume @p627 (forall @t19 (or @t485 (not @t487) (not @t488)))) % 0.41/0.69 (assume @p628 (forall @t70 (or @t544 @t553))) % 0.41/0.69 (assume @p629 (forall @t70 (or @t82 @t553))) % 0.41/0.69 (assume @p630 (forall @t111 @t492)) % 0.41/0.69 (assume @p631 (forall @t133 (or (tptp.c_lessequals @t45 @t43 tptp.tc_nat) (not (tptp.c_lessequals @t42 @t43 tptp.tc_nat)) @t130))) % 0.41/0.69 (assume @p632 (forall @t76 (tptp.c_lessequals @t15 @t15 tptp.tc_nat))) % 0.41/0.69 (assume @p633 (forall (@list @t1 @t2 @t6 @t228 @t71) (or @t568 (tptp.c_lessequals @t2 @t414 @t1) @t396 (not (tptp.c_lessequals @t2 @t141 @t1))))) % 0.41/0.69 (assume @p634 (forall @t514 (or @t544 @t284 @t512 @t78))) % 0.41/0.69 (assume @p635 (forall @t12 (or @t35 (tptp.c_lessequals @t33 @t3 @t1) @t32 @t37))) % 0.41/0.69 (assume @p636 (forall @t538 (or @t82 (tptp.c_lessequals @t103 @t22 @t1) @t536 @t80))) % 0.41/0.69 (assume @p637 (forall @t95 (or @t399 @t155 (not @t506)))) % 0.41/0.69 (assume @p638 (= @t480 @t28)) % 0.41/0.69 (assume @p639 (forall (@list @t228 @t22) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t228 @t22 tptp.tc_nat) @t228 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p640 (forall @t13 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t6 @t1) @t3)))) % 0.41/0.69 (assume @p641 (forall @t12 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t6 @t1) @t3)))) % 0.41/0.69 (assume @p642 (forall @t252 (or @t587 @t586 @t97))) % 0.41/0.69 (assume @p643 (forall @t41 (or @t25 (= @t40 @t3)))) % 0.41/0.69 (assume @p644 (forall @t258 (or @t25 @t463 @t411 @t212))) % 0.41/0.69 (assume @p645 (forall @t140 (or @t25 @t412 @t208 @t212))) % 0.41/0.69 (assume @p646 (forall @t258 (or @t25 @t463 @t411 @t206))) % 0.41/0.69 (assume @p647 (forall @t140 (or @t25 @t412 @t208 @t206))) % 0.41/0.69 (assume @p648 (forall @t140 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t210 @t209 @t1) (tptp.c_HOL_Otimes__class_Otimes @t71 @t160 @t1))))) % 0.41/0.69 (assume @p649 (forall @t74 (or @t162 (= (tptp.c_Divides_Odiv__class_Omod @t204 @t203 @t1) (tptp.c_HOL_Otimes__class_Otimes @t160 @t71 @t1))))) % 0.41/0.69 (assume @p650 (forall @t594 (or @t433 @t109 @t503))) % 0.41/0.69 (assume @p651 (forall @t68 (or @t67 (tptp.c_lessequals @t3 @t65 @t1)))) % 0.41/0.69 (assume @p652 (forall @t252 (or @t607 @t99))) % 0.41/0.69 (assume @p653 (forall @t252 (or @t98 (not @t607)))) % 0.41/0.69 (assume @p654 (forall (@list @t1 @t392 @t43) (or @t149 (not (= (tptp.c_HOL_Oabs__class_Oabs @t392 @t1) @t599)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t392 @t43 @t1)))) % 0.41/0.69 (assume @p655 (forall @t455 (or @t69 @t79 @t77))) % 0.41/0.69 (assume @p656 (forall @t106 (or @t105 @t104 @t87 @t89))) % 0.41/0.69 (assume @p657 (forall @t106 (or @t105 @t107 @t104 @t89))) % 0.41/0.69 (assume @p658 (forall @t252 (or @t98 @t96))) % 0.41/0.69 (assume @p659 (forall (@list @t16 @t392 @t43 @t15) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t392 tptp.tc_nat) @t125)) @t584 @t246))) % 0.41/0.69 (assume @p660 (forall @t76 (not (tptp.c_HOL_Oord__class_Oless @t15 @t27 tptp.tc_nat)))) % 0.41/0.69 (assume @p661 (forall @t275 (not (tptp.c_HOL_Oord__class_Oless @t16 @t27 tptp.tc_nat)))) % 0.41/0.69 (assume @p662 (forall @t252 (or @t585 @t246))) % 0.41/0.69 (assume @p663 (forall @t19 (or @t247 @t586))) % 0.41/0.69 (assume @p664 (forall @t111 (or @t608 @t491))) % 0.41/0.69 (assume @p665 (forall @t19 (or @t246 @t94 @t97))) % 0.41/0.69 (assume @p666 (forall @t19 (or @t94 @t246 @t97))) % 0.41/0.69 (assume @p667 (forall @t19 (or @t246 (not @t609)))) % 0.41/0.69 (assume @p668 (forall @t19 (or @t489 @t247))) % 0.41/0.69 (assume @p669 (forall @t129 (or @t246 @t443))) % 0.41/0.69 (assume @p670 (forall @t129 (or @t246 @t445))) % 0.41/0.69 (assume @p671 (forall @t76 (tptp.c_HOL_Oord__class_Oless @t15 @t20 tptp.tc_nat))) % 0.41/0.69 (assume @p672 (forall @t111 @t491)) % 0.41/0.69 (assume @p673 (forall @t133 (or (tptp.c_HOL_Oord__class_Oless @t611 @t43 tptp.tc_nat) @t610 @t465))) % 0.41/0.69 (assume @p674 (forall @t19 (or (= @t193 @t16) @t247))) % 0.41/0.69 (assume @p675 (forall @t305 (or @t612 @t583))) % 0.41/0.69 (assume @p676 (forall @t305 (or @t612 (not (tptp.c_HOL_Oord__class_Oless @t22 @t103 tptp.tc_nat))))) % 0.41/0.69 (assume @p677 (forall @t133 (or (tptp.c_HOL_Oord__class_Oless @t45 @t43 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t52 @t43 tptp.tc_nat))))) % 0.41/0.69 (assume @p678 (forall @t436 (or (tptp.c_HOL_Oord__class_Oless @t45 @t435 tptp.tc_nat) @t465))) % 0.41/0.69 (assume @p679 (forall @t438 (or (tptp.c_HOL_Oord__class_Oless @t45 @t437 tptp.tc_nat) @t465))) % 0.41/0.69 (assume @p680 (forall @t19 (or @t609 (= @t18 @t15) @t247))) % 0.41/0.69 (assume @p681 (forall @t19 (or @t613 @t247))) % 0.41/0.69 (assume @p682 (forall @t19 (or @t246 (not @t613)))) % 0.41/0.69 (assume @p683 (forall (@list @t22 @t15) (or (tptp.c_HOL_Oord__class_Oless @t452 @t20 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t22 @t15 tptp.tc_nat))))) % 0.41/0.69 (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)) @t99))) % 0.41/0.69 (assume @p685 (forall @t614 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t15 @t611 tptp.tc_nat) @t15 tptp.tc_nat) @t109))) % 0.41/0.69 (assume @p686 (forall @t76 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t15 @t28 tptp.tc_nat)) @t15) @t109))) % 0.41/0.69 (assume @p687 (forall @t19 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t20 tptp.tc_nat) @t192))) % 0.41/0.69 (assume @p688 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t126 @t125 tptp.tc_nat) @t192))) % 0.41/0.69 (assume @p689 (forall @t321 (= (tptp.c_HOL_Ominus__class_Ominus @t117 @t418 tptp.tc_nat) @t192))) % 0.41/0.69 (assume @p690 (forall @t129 (= (tptp.c_HOL_Ominus__class_Ominus @t221 @t354 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t192 @t43 tptp.tc_nat)))) % 0.41/0.69 (assume @p691 (forall @t614 (or (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t615 tptp.tc_nat) @t45) (not (tptp.c_lessequals @t45 @t15 tptp.tc_nat))))) % 0.41/0.69 (assume @p692 (forall (@list @t16 @t45 @t15) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t16 @t45 tptp.tc_nat) @t615 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t462 @t45 tptp.tc_nat)))) % 0.41/0.69 (assume @p693 (forall @t252 (or (not (= @t616 @t27)) @t497 @t94))) % 0.41/0.69 (assume @p694 (forall @t128 (or @t498 @t503 @t501))) % 0.41/0.69 (assume @p695 (forall @t275 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p696 (forall @t275 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t27 tptp.tc_nat) @t16))) % 0.41/0.69 (assume @p697 (forall @t129 (or @t96 (not @t620) @t457 @t617))) % 0.41/0.69 (assume @p698 (forall @t321 (or @t620 @t97 @t457 @t617))) % 0.41/0.69 (assume @p699 (forall (@list @t16 @t392 @t15) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t16 @t392 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t15 @t392 tptp.tc_nat) tptp.tc_nat) @t97))) % 0.41/0.69 (assume @p700 (forall @t623 (or (tptp.c_lessequals @t622 @t621 tptp.tc_nat) @t97))) % 0.41/0.69 (assume @p701 (forall @t54 (= @t624 (tptp.c_HOL_Ominus__class_Ominus @t45 @t131 tptp.tc_nat)))) % 0.41/0.69 (assume @p702 (forall @t321 (or (not (= @t619 @t618)) @t457 @t617 @t94))) % 0.41/0.69 (assume @p703 (forall @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t15 tptp.tc_nat) @t27))) % 0.41/0.69 (assume @p704 (forall @t90 (or @t625 @t399 @t155))) % 0.41/0.69 (assume @p705 (forall @t90 (or @t625 @t402 @t159))) % 0.41/0.69 (assume @p706 (forall @t19 (tptp.c_lessequals @t192 @t16 tptp.tc_nat))) % 0.41/0.69 (assume @p707 (forall @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t192 @t43 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t319 @t318 tptp.tc_nat)))) % 0.41/0.69 (assume @p708 (forall @t128 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t192 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t316 @t315 tptp.tc_nat)))) % 0.41/0.69 (assume @p709 (forall @t321 (or (= (tptp.c_HOL_Ominus__class_Ominus @t619 @t618 tptp.tc_nat) @t192) @t457 @t617))) % 0.41/0.69 (assume @p710 (forall @t252 (= (tptp.c_HOL_Ominus__class_Ominus @t439 @t15 tptp.tc_nat) @t16))) % 0.41/0.69 (assume @p711 (forall @t19 (= (tptp.c_HOL_Ominus__class_Ominus @t201 @t15 tptp.tc_nat) @t16))) % 0.41/0.69 (assume @p712 (forall @t12 (or @t568 @t208 (not @t626)))) % 0.41/0.69 (assume @p713 (forall @t12 (or @t568 @t626 @t276))) % 0.41/0.69 (assume @p714 (forall (@list @t1 @t2 @t340 @t22) (or @t149 @t564 @t557))) % 0.41/0.69 (assume @p715 (forall @t217 (or @t298 @t627 @t247))) % 0.41/0.69 (assume @p716 (forall @t217 (or @t298 @t246 (not @t627)))) % 0.41/0.69 (assume @p717 (forall @t252 (or @t603 @t246))) % 0.41/0.69 (assume @p718 (forall @t19 (or (tptp.c_HOL_Oord__class_Oless @t192 @t16 tptp.tc_nat) @t166 @t109))) % 0.41/0.69 (assume @p719 (forall @t90 (or @t159 @t399 @t582 @t628))) % 0.41/0.69 (assume @p720 (forall @t95 (or @t402 @t155 @t582 @t628))) % 0.41/0.69 (assume @p721 (forall @t133 (or @t630 (not @t629)))) % 0.41/0.69 (assume @p722 (forall @t54 (or @t629 (not @t630)))) % 0.41/0.69 (assume @p723 (forall @t129 (or @t246 (not @t631) @t457 @t617))) % 0.41/0.69 (assume @p724 (forall @t321 (or @t631 @t247 @t457 @t617))) % 0.41/0.69 (assume @p725 (forall @t19 (tptp.c_HOL_Oord__class_Oless @t192 @t18 tptp.tc_nat))) % 0.41/0.69 (assume @p726 (forall @t19 (or @t246 (not @t632)))) % 0.41/0.69 (assume @p727 (forall @t252 (or @t632 @t247))) % 0.41/0.69 (assume @p728 (forall @t19 (or @t194 @t246))) % 0.41/0.69 (assume @p729 (forall (@list @t2 @t71 @t6) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t2 @t71 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t6 @t71 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t71 @t2 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t2 @t6 tptp.tc_nat))))) % 0.41/0.69 (assume @p730 (forall @t90 (or @t625 @t583))) % 0.41/0.69 (assume @p731 (forall @t12 (or @t82 @t276 @t464))) % 0.41/0.69 (assume @p732 (forall @t26 (or @t69 @t542 @t535))) % 0.41/0.69 (assume @p733 (forall @t13 (or @t544 @t464 @t276))) % 0.41/0.69 (assume @p734 (forall @t455 (or @t544 @t535 @t542))) % 0.41/0.69 (assume @p735 (forall @t70 (or @t544 @t552))) % 0.41/0.69 (assume @p736 (forall @t70 (or @t69 @t552))) % 0.41/0.69 (assume @p737 (forall @t111 (not @t608))) % 0.41/0.69 (assume @p738 (forall @t76 (not (tptp.c_HOL_Oord__class_Oless @t15 @t15 tptp.tc_nat)))) % 0.41/0.69 (assume @p739 (forall @t70 (or @t82 @t552))) % 0.41/0.69 (assume @p740 @t633) % 0.41/0.69 (assume @p741 (forall @t623 (or (tptp.c_HOL_Oord__class_Oless @t622 @t621 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t16 @t392 tptp.tc_nat)) @t247))) % 0.41/0.69 (assume @p742 (forall @t575 (or @t568 @t574 @t634 @t542))) % 0.41/0.69 (assume @p743 (forall @t575 (or @t568 @t574 @t541 (not @t634)))) % 0.41/0.69 (assume @p744 (forall @t455 (or @t149 @t534 @t541 @t81))) % 0.41/0.69 (assume @p745 (forall @t26 (or @t69 @t81 @t534 @t541))) % 0.41/0.69 (assume @p746 (forall @t26 (or @t69 @t81 @t541 @t534))) % 0.41/0.69 (assume @p747 (forall @t455 (or @t69 @t534 @t81 @t541))) % 0.41/0.69 (assume @p748 (forall @t252 (or @t250 @t246 @t94))) % 0.41/0.69 (assume @p749 (forall @t95 (or (tptp.c_HOL_Oord__class_Oless @t21 @t22 tptp.tc_nat) @t582 @t81))) % 0.41/0.69 (assume @p750 (forall @t455 (or @t69 @t534 @t541 @t81))) % 0.41/0.69 (assume @p751 (forall @t428 (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus tptp.v_i @t43 tptp.tc_nat) tptp.v_n tptp.tc_nat))) % 0.41/0.69 (assume @p752 (tptp.c_HOL_Oord__class_Oless tptp.v_i tptp.v_n tptp.tc_nat)) % 0.41/0.69 (assume @p753 (forall @t538 (or @t82 @t537 @t540 @t535))) % 0.41/0.69 (assume @p754 (forall @t514 (or @t544 @t543 @t546 @t542))) % 0.41/0.69 (assume @p755 (forall (@list @t1 @t22 @t569 @t570) (or @t424 (not (= @t576 @t572)) (= @t569 @t570)))) % 0.41/0.69 (assume @p756 (forall (@list @t1 @t189 @t21 @t22) (or @t424 (not (= (tptp.c_HOL_Ominus__class_Ominus @t189 @t21 @t1) @t576)) (= @t189 @t21)))) % 0.41/0.69 (assume @p757 (forall @t54 (= @t624 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t45 @t43 tptp.tc_nat) @t42 tptp.tc_nat)))) % 0.41/0.69 (assume @p758 @t635) % 0.41/0.69 (assume @p759 (not @t636)) % 0.41/0.69 (assume @p760 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.41/0.69 (assume @p761 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.41/0.69 (assume @p762 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.41/0.69 (assume @p763 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.41/0.69 (assume @p764 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.41/0.69 (assume @p765 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.41/0.69 (assume @p766 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.41/0.69 (assume @p767 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.41/0.69 (assume @p768 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.41/0.69 (assume @p769 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.41/0.69 (assume @p770 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.41/0.69 (assume @p771 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.41/0.69 (assume @p772 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.41/0.69 (assume @p773 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.41/0.69 (assume @p774 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.41/0.69 (assume @p775 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.41/0.69 (assume @p776 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.41/0.69 (assume @p777 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.41/0.69 (assume @p778 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.41/0.69 (assume @p779 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.41/0.69 (assume @p780 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.41/0.69 (assume @p781 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.41/0.69 (assume @p782 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.41/0.69 (assume @p783 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.41/0.69 (assume @p784 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.41/0.69 (assume @p785 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.41/0.69 (assume @p786 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.41/0.69 (assume @p787 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.41/0.69 (assume @p788 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.41/0.69 (assume @p789 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.41/0.69 (step @p790 :rule cnf_or_pos :args (@t638)) % 0.41/0.69 (step @p791 :rule reordering :premises (@p790) :args ((or @t636 @t637 @t639))) % 0.41/0.69 (step @p792 :rule chain_m_resolution :premises (@p791 @p759 @p758) :args (@t639 @t640 (@list @t636 @t635))) % 0.41/0.69 (assume-push @p799 @t633) % 0.41/0.69 (step @p794 :rule instantiate :premises (@p740) :args ((@list tptp.v_k tptp.v_i tptp.v_n))) % 0.41/0.69 (step-pop @p800 :rule scope :premises (@p794)) % 0.41/0.69 (step @p795 :rule process_scope :premises (@p800) :args (@t638)) % 0.41/0.69 (step @p797 :rule implies_elim :premises (@p795)) % 0.41/0.69 (step @p798 false :rule chain_m_resolution :premises (@p797 @p792 @p740) :args (false @t640 (@list @t638 @t633))) % 0.41/0.69 ) % 0.41/0.69 % SZS output end Proof % 0.41/0.70 % cvc5 exiting %------------------------------------------------------------------------------