%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:46 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.86s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL756-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n015.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 5 11:56:12 UTC 2026 % 0.11/0.38 % CPUTime : % 0.37/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.86 % SZS status Unsatisfiable % 0.40/0.86 % SZS output start Proof % 0.40/0.88 ( % 0.40/0.88 (declare-sort $$unsorted 0) % 0.40/0.88 (declare-const tptp.v_ia $$unsorted) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.tc_nat $$unsorted) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.v_ja $$unsorted) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.v_ra $$unsorted) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.40/0.88 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.40/0.88 (define @t1 () (@var "V_j" $$unsorted)) % 0.40/0.88 (define @t2 () (@var "V_k" $$unsorted)) % 0.40/0.88 (define @t3 () (not (tptp.c_lessequals @t2 @t1 tptp.tc_nat))) % 0.40/0.88 (define @t4 () (@var "V_i" $$unsorted)) % 0.40/0.88 (define @t5 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t6 () (tptp.c_lessequals @t5 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t7 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t8 () (tptp.c_lessequals @t4 @t7 tptp.tc_nat)) % 0.40/0.88 (define @t9 () (@list @t4 @t1 @t2)) % 0.40/0.88 (define @t10 () (@var "T_a" $$unsorted)) % 0.40/0.88 (define @t11 () (@var "V_z" $$unsorted)) % 0.40/0.88 (define @t12 () (@var "V_x" $$unsorted)) % 0.40/0.88 (define @t13 () (tptp.c_lessequals @t12 @t11 @t10)) % 0.40/0.88 (define @t14 () (not @t13)) % 0.40/0.88 (define @t15 () (@var "V_y" $$unsorted)) % 0.40/0.88 (define @t16 () (tptp.c_lessequals @t15 @t11 @t10)) % 0.40/0.88 (define @t17 () (not @t16)) % 0.40/0.88 (define @t18 () (tptp.c_Orderings_Oord__class_Omax @t12 @t15 @t10)) % 0.40/0.88 (define @t19 () (tptp.c_lessequals @t18 @t11 @t10)) % 0.40/0.88 (define @t20 () (not (tptp.class_Orderings_Olinorder @t10))) % 0.40/0.88 (define @t21 () (@list @t10 @t12 @t15 @t11)) % 0.40/0.88 (define @t22 () (tptp.c_lessequals @t15 @t12 @t10)) % 0.40/0.88 (define @t23 () (not @t22)) % 0.40/0.88 (define @t24 () (tptp.c_lessequals @t11 @t12 @t10)) % 0.40/0.88 (define @t25 () (not @t24)) % 0.40/0.88 (define @t26 () (tptp.c_Orderings_Oord__class_Omax @t15 @t11 @t10)) % 0.40/0.88 (define @t27 () (@list @t10 @t15 @t11 @t12)) % 0.40/0.88 (define @t28 () (@var "V_a" $$unsorted)) % 0.40/0.88 (define @t29 () (tptp.c_lessequals @t28 @t12 @t10)) % 0.40/0.88 (define @t30 () (not @t29)) % 0.40/0.88 (define @t31 () (@var "V_b" $$unsorted)) % 0.40/0.88 (define @t32 () (tptp.c_lessequals @t31 @t12 @t10)) % 0.40/0.88 (define @t33 () (not @t32)) % 0.40/0.88 (define @t34 () (tptp.c_Orderings_Oord__class_Omax @t28 @t31 @t10)) % 0.40/0.88 (define @t35 () (tptp.c_lessequals @t34 @t12 @t10)) % 0.40/0.88 (define @t36 () (@list @t10 @t28 @t31 @t12)) % 0.40/0.88 (define @t37 () (@list @t10 @t12 @t15)) % 0.40/0.88 (define @t38 () (@list @t10 @t15 @t12)) % 0.40/0.88 (define @t39 () (tptp.c_Orderings_Oord__class_Omin @t15 @t12 @t10)) % 0.40/0.88 (define @t40 () (tptp.c_Orderings_Oord__class_Omin @t12 @t11 @t10)) % 0.40/0.88 (define @t41 () (tptp.c_Orderings_Oord__class_Omin @t12 @t15 @t10)) % 0.40/0.88 (define @t42 () (tptp.c_Orderings_Oord__class_Omax @t41 @t40 @t10)) % 0.40/0.88 (define @t43 () (tptp.c_Orderings_Oord__class_Omin @t12 @t26 @t10)) % 0.40/0.88 (define @t44 () (tptp.c_HOL_Ozero__class_Ozero @t10)) % 0.40/0.88 (define @t45 () (tptp.c_lessequals @t44 @t28 @t10)) % 0.40/0.88 (define @t46 () (not @t45)) % 0.40/0.88 (define @t47 () (@var "V_c" $$unsorted)) % 0.40/0.88 (define @t48 () (not (tptp.c_lessequals @t31 @t47 @t10))) % 0.40/0.88 (define @t49 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t47 @t10)) % 0.40/0.88 (define @t50 () (tptp.c_lessequals @t31 @t49 @t10)) % 0.40/0.88 (define @t51 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t10))) % 0.40/0.88 (define @t52 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t10))) % 0.40/0.88 (define @t53 () (@list @t10 @t31 @t28 @t47)) % 0.40/0.88 (define @t54 () (not (tptp.c_lessequals @t44 @t47 @t10))) % 0.40/0.88 (define @t55 () (tptp.c_lessequals @t31 @t28 @t10)) % 0.40/0.88 (define @t56 () (not @t55)) % 0.40/0.88 (define @t57 () (@var "V_n" $$unsorted)) % 0.40/0.88 (define @t58 () (@var "V_m" $$unsorted)) % 0.40/0.88 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t60 () (not @t59)) % 0.40/0.88 (define @t61 () (tptp.c_Suc @t58)) % 0.40/0.88 (define @t62 () (tptp.c_lessequals @t61 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t63 () (@list @t58 @t57)) % 0.40/0.88 (define @t64 () (not @t62)) % 0.40/0.88 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t57 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t66 () (tptp.c_Suc @t57)) % 0.40/0.88 (define @t67 () (tptp.c_lessequals @t66 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t68 () (@list @t57 @t58)) % 0.40/0.88 (define @t69 () (not @t67)) % 0.40/0.88 (define @t70 () (tptp.c_HOL_Oord__class_Oless @t12 @t15 tptp.tc_nat)) % 0.40/0.88 (define @t71 () (not @t70)) % 0.40/0.88 (define @t72 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t11 tptp.tc_nat)) % 0.40/0.88 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t12 @t72 tptp.tc_nat)) % 0.40/0.88 (define @t74 () (@list @t12 @t15 @t11)) % 0.40/0.88 (define @t75 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t4 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t77 () (@list @t4 @t2 @t1)) % 0.40/0.88 (define @t78 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t1 tptp.tc_nat))) % 0.40/0.88 (define @t79 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t80 () (@list @t4 @t1 @t58)) % 0.40/0.88 (define @t81 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t82 () (@list @t4 @t58 @t1)) % 0.40/0.88 (define @t83 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.40/0.88 (define @t84 () (@list @t57)) % 0.40/0.88 (define @t85 () (@var "V_d" $$unsorted)) % 0.40/0.88 (define @t86 () (@var "V_e" $$unsorted)) % 0.40/0.88 (define @t87 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t31 @t28 @t10) @t86 @t10) @t85 @t10)) % 0.40/0.88 (define @t88 () (tptp.c_lessequals @t47 @t87 @t10)) % 0.40/0.88 (define @t89 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t86 @t10)) % 0.40/0.88 (define @t90 () (tptp.c_HOL_Oplus__class_Oplus @t89 @t85 @t10)) % 0.40/0.88 (define @t91 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t86 @t10)) % 0.40/0.88 (define @t92 () (tptp.c_HOL_Oplus__class_Oplus @t91 @t47 @t10)) % 0.40/0.88 (define @t93 () (tptp.c_lessequals @t92 @t90 @t10)) % 0.40/0.88 (define @t94 () (not (tptp.class_Ring__and__Field_Opordered__ring @t10))) % 0.40/0.88 (define @t95 () (@list @t10 @t28 @t86 @t47 @t31 @t85)) % 0.40/0.88 (define @t96 () (not @t93)) % 0.40/0.88 (define @t97 () (@list @t10 @t47 @t31 @t28 @t86 @t85)) % 0.40/0.88 (define @t98 () (tptp.c_HOL_Ominus__class_Ominus @t28 @t31 @t10)) % 0.40/0.88 (define @t99 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t98 @t86 @t10) @t47 @t10)) % 0.40/0.88 (define @t100 () (tptp.c_lessequals @t99 @t85 @t10)) % 0.40/0.88 (define @t101 () (@list @t10 @t28 @t31 @t86 @t47 @t85)) % 0.40/0.88 (define @t102 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t103 () (tptp.c_lessequals @t57 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t104 () (not @t103)) % 0.40/0.88 (define @t105 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t106 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t107 () (tptp.c_HOL_Otimes__class_Otimes @t83 @t83 tptp.tc_nat)) % 0.40/0.88 (define @t108 () (@var "V_t" $$unsorted)) % 0.40/0.88 (define @t109 () (tptp.c_Lambda_Olift @t108 @t2)) % 0.40/0.88 (define @t110 () (@var "V_s" $$unsorted)) % 0.40/0.88 (define @t111 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t12 @t10)) % 0.40/0.88 (define @t112 () (tptp.c_HOL_Oplus__class_Oplus @t111 (tptp.c_HOL_Otimes__class_Otimes @t15 @t15 @t10) @t10)) % 0.40/0.88 (define @t113 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t10))) % 0.40/0.88 (define @t114 () (not (tptp.class_Divides_Osemiring__div @t10))) % 0.40/0.88 (define @t115 () (@list @t10 @t28)) % 0.40/0.88 (define @t116 () (tptp.c_HOL_Oplus__class_Oplus @t47 @t28 @t10)) % 0.40/0.88 (define @t117 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t10))) % 0.40/0.88 (define @t118 () (tptp.c_HOL_Oplus__class_Oplus @t31 @t28 @t10)) % 0.40/0.88 (define @t119 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t31 @t10)) % 0.40/0.88 (define @t120 () (@list @t10 @t28 @t31)) % 0.40/0.88 (define @t121 () (tptp.c_HOL_Oplus__class_Oplus @t57 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t122 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t123 () (@var "V_l" $$unsorted)) % 0.40/0.88 (define @t124 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t123 tptp.tc_nat))) % 0.40/0.88 (define @t125 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t126 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t15 @t10)) % 0.40/0.88 (define @t127 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.40/0.88 (define @t128 () (tptp.c_Suc @t127)) % 0.40/0.88 (define @t129 () (= @t58 @t128)) % 0.40/0.88 (define @t130 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t131 () (not (= @t130 @t128))) % 0.40/0.88 (define @t132 () (= @t57 @t128)) % 0.40/0.88 (define @t133 () (tptp.c_HOL_Oord__class_Oless @t127 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t134 () (not @t133)) % 0.40/0.88 (define @t135 () (tptp.c_Divides_Odiv__class_Omod @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t136 () (tptp.c_HOL_Ominus__class_Ominus @t123 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t137 () (tptp.c_HOL_Ominus__class_Ominus @t123 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t138 () (@list @t123 @t57 @t58)) % 0.40/0.88 (define @t139 () (= @t28 @t44)) % 0.40/0.88 (define @t140 () (not (tptp.class_Int_Onumber__ring @t10))) % 0.40/0.88 (define @t141 () (not (tptp.class_Ring__and__Field_Oidom @t10))) % 0.40/0.88 (define @t142 () (= @t57 @t127)) % 0.40/0.88 (define @t143 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t47 @t10)) % 0.40/0.88 (define @t144 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t47 @t10)) % 0.40/0.88 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t144 @t143 @t10)) % 0.40/0.88 (define @t146 () (not @t145)) % 0.40/0.88 (define @t147 () (tptp.c_HOL_Oord__class_Oless @t28 @t31 @t10)) % 0.40/0.88 (define @t148 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t10))) % 0.40/0.88 (define @t149 () (@list @t10 @t28 @t31 @t47)) % 0.40/0.88 (define @t150 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t31 @t10)) % 0.40/0.88 (define @t151 () (tptp.c_HOL_Otimes__class_Otimes @t47 @t28 @t10)) % 0.40/0.88 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t151 @t150 @t10)) % 0.40/0.88 (define @t153 () (not @t152)) % 0.40/0.88 (define @t154 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t10))) % 0.40/0.88 (define @t155 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 @t10)) % 0.40/0.88 (define @t156 () (= @t155 @t44)) % 0.40/0.88 (define @t157 () (not (tptp.class_OrderedGroup_Oab__group__add @t10))) % 0.40/0.88 (define @t158 () (@list @t10 @t12)) % 0.40/0.88 (define @t159 () (not (tptp.class_OrderedGroup_Ogroup__add @t10))) % 0.40/0.88 (define @t160 () (@list @t58)) % 0.40/0.88 (define @t161 () (tptp.c_Divides_Odiv__class_Omod @t31 @t47 @t10)) % 0.40/0.88 (define @t162 () (tptp.c_Divides_Odiv__class_Omod @t28 @t47 @t10)) % 0.40/0.88 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t31 @t10)) % 0.40/0.88 (define @t164 () (tptp.c_Divides_Odiv__class_Omod @t163 @t47 @t10)) % 0.40/0.88 (define @t165 () (tptp.c_lessequals @t11 @t18 @t10)) % 0.40/0.88 (define @t166 () (tptp.c_lessequals @t11 @t15 @t10)) % 0.40/0.88 (define @t167 () (@list @t10 @t11 @t15 @t12)) % 0.40/0.88 (define @t168 () (@var "V_u" $$unsorted)) % 0.40/0.88 (define @t169 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t170 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t169 @t168 tptp.tc_nat) @t58 tptp.tc_nat)) % 0.40/0.88 (define @t171 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t168 tptp.tc_nat)) % 0.40/0.88 (define @t172 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t168 tptp.tc_nat)) % 0.40/0.88 (define @t173 () (tptp.c_HOL_Oplus__class_Oplus @t172 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t174 () (not (tptp.c_lessequals @t1 @t4 tptp.tc_nat))) % 0.40/0.88 (define @t175 () (= @t2 @t127)) % 0.40/0.88 (define @t176 () (= @t58 @t57)) % 0.40/0.88 (define @t177 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t178 () (not (= @t102 @t177))) % 0.40/0.88 (define @t179 () (@list @t2 @t58 @t57)) % 0.40/0.88 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t181 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t182 () (@list @t58 @t2 @t57)) % 0.40/0.88 (define @t183 () (tptp.c_Orderings_Oord__class_Omin @t15 @t11 @t10)) % 0.40/0.88 (define @t184 () (tptp.c_lessequals @t12 @t183 @t10)) % 0.40/0.88 (define @t185 () (not @t184)) % 0.40/0.88 (define @t186 () (@list @t10 @t12 @t11 @t15)) % 0.40/0.88 (define @t187 () (tptp.c_lessequals @t12 @t15 @t10)) % 0.40/0.88 (define @t188 () (tptp.c_lessequals @t41 @t11 @t10)) % 0.40/0.88 (define @t189 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t12 tptp.tc_nat)) % 0.40/0.88 (define @t190 () (@list @t58 @t12)) % 0.40/0.88 (define @t191 () (@list @t4 @t58)) % 0.40/0.88 (define @t192 () (not (= @t92 @t90))) % 0.40/0.88 (define @t193 () (not (tptp.class_Ring__and__Field_Oring @t10))) % 0.40/0.88 (define @t194 () (not (tptp.c_lessequals @t4 @t1 tptp.tc_nat))) % 0.40/0.88 (define @t195 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t196 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t195 @t168 tptp.tc_nat) @t57 tptp.tc_nat)) % 0.40/0.88 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t58 @t196 tptp.tc_nat)) % 0.40/0.88 (define @t198 () (tptp.c_HOL_Oplus__class_Oplus @t171 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t173 @t198 tptp.tc_nat)) % 0.40/0.88 (define @t200 () (@list @t4 @t168 @t58 @t1 @t57)) % 0.40/0.88 (define @t201 () (not @t199)) % 0.40/0.88 (define @t202 () (@list @t58 @t1 @t4 @t168 @t57)) % 0.40/0.88 (define @t203 () (tptp.c_HOL_Oord__class_Oless @t170 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t204 () (@list @t4 @t1 @t168 @t58 @t57)) % 0.40/0.88 (define @t205 () (not @t147)) % 0.40/0.88 (define @t206 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t85 @t10))) % 0.40/0.88 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t44 @t31 @t10)) % 0.40/0.88 (define @t208 () (not @t207)) % 0.40/0.88 (define @t209 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t85 @t10)) % 0.40/0.88 (define @t210 () (tptp.c_HOL_Oord__class_Oless @t144 @t209 @t10)) % 0.40/0.88 (define @t211 () (@list @t10 @t28 @t47 @t31 @t85)) % 0.40/0.88 (define @t212 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t162 @t31 @t10) @t47 @t10)) % 0.40/0.88 (define @t213 () (@list @t10 @t28 @t47 @t31)) % 0.40/0.88 (define @t214 () (tptp.c_lessequals @t12 @t28 @t10)) % 0.40/0.88 (define @t215 () (not @t214)) % 0.40/0.88 (define @t216 () (tptp.c_lessequals @t12 @t31 @t10)) % 0.40/0.88 (define @t217 () (not @t216)) % 0.40/0.88 (define @t218 () (tptp.c_Orderings_Oord__class_Omin @t28 @t31 @t10)) % 0.40/0.88 (define @t219 () (tptp.c_lessequals @t12 @t218 @t10)) % 0.40/0.88 (define @t220 () (@list @t10 @t12 @t28 @t31)) % 0.40/0.88 (define @t221 () (not @t187)) % 0.40/0.88 (define @t222 () (tptp.c_lessequals @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t223 () (not @t222)) % 0.40/0.88 (define @t224 () (= @t105 @t127)) % 0.40/0.88 (define @t225 () (not @t224)) % 0.40/0.88 (define @t226 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t11 @t10)) % 0.40/0.88 (define @t227 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t11 @t10)) % 0.40/0.88 (define @t228 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t10))) % 0.40/0.88 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t12 @t11 @t10)) % 0.40/0.88 (define @t230 () (not @t229)) % 0.40/0.88 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t15 @t11 @t10)) % 0.40/0.88 (define @t232 () (not @t231)) % 0.40/0.88 (define @t233 () (tptp.c_HOL_Oord__class_Oless @t18 @t11 @t10)) % 0.40/0.88 (define @t234 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t235 () (tptp.c_Suc @t1)) % 0.40/0.88 (define @t236 () (tptp.c_Suc @t7)) % 0.40/0.88 (define @t237 () (tptp.c_HOL_Oone__class_Oone @t10)) % 0.40/0.88 (define @t238 () (= (tptp.c_HOL_Otimes__class_Otimes @t237 @t28 @t10) @t28)) % 0.40/0.88 (define @t239 () (not (tptp.class_OrderedGroup_Omonoid__mult @t10))) % 0.40/0.88 (define @t240 () (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t237 @t10) @t28)) % 0.40/0.88 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t44 @t28 @t10)) % 0.40/0.88 (define @t242 () (not @t241)) % 0.40/0.88 (define @t243 () (tptp.c_HOL_Oord__class_Oless @t31 @t49 @t10)) % 0.40/0.88 (define @t244 () (tptp.c_HOL_Oord__class_Oless @t127 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t245 () (not @t244)) % 0.40/0.88 (define @t246 () (tptp.c_HOL_Oplus__class_Oplus @t57 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t247 () (@list @t58 @t57 @t2)) % 0.40/0.88 (define @t248 () (tptp.c_HOL_Oplus__class_Oplus @t128 @t127 tptp.tc_nat)) % 0.40/0.88 (define @t249 () (tptp.c_Divides_Odiv__class_Omod @t28 @t31 @t10)) % 0.40/0.88 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t11 @t12 @t10)) % 0.40/0.88 (define @t251 () (not @t250)) % 0.40/0.88 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t11 @t15 @t10)) % 0.40/0.88 (define @t253 () (not @t252)) % 0.40/0.88 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t11 @t41 @t10)) % 0.40/0.88 (define @t255 () (@list @t10 @t11 @t12 @t15)) % 0.40/0.88 (define @t256 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t15 tptp.tc_nat)) % 0.40/0.88 (define @t257 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t11 tptp.tc_nat)) % 0.40/0.88 (define @t258 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t47 tptp.tc_nat)) % 0.40/0.88 (define @t259 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t85 tptp.tc_nat)) % 0.40/0.88 (define @t260 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t47 @t10)) % 0.40/0.88 (define @t261 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t85 @t10)) % 0.40/0.88 (define @t262 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t15 @t10)) % 0.40/0.88 (define @t263 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t11 @t10)) % 0.40/0.88 (define @t264 () (tptp.c_HOL_Oplus__class_Oplus @t262 @t263 @t10)) % 0.40/0.88 (define @t265 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t28 @t10)) % 0.40/0.88 (define @t266 () (tptp.c_lessequals @t44 @t265 @t10)) % 0.40/0.88 (define @t267 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t10))) % 0.40/0.88 (define @t268 () (tptp.c_HOL_Ominus__class_Ominus @t173 @t198 tptp.tc_nat)) % 0.40/0.88 (define @t269 () (tptp.c_lessequals @t181 @t180 tptp.tc_nat)) % 0.40/0.88 (define @t270 () (tptp.c_lessequals @t102 @t177 tptp.tc_nat)) % 0.40/0.88 (define @t271 () (not (tptp.c_lessequals @t2 @t123 tptp.tc_nat))) % 0.40/0.88 (define @t272 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t123 tptp.tc_nat)) % 0.40/0.88 (define @t273 () (@list @t4 @t2 @t1 @t123)) % 0.40/0.88 (define @t274 () (tptp.c_lessequals @t28 @t31 @t10)) % 0.40/0.88 (define @t275 () (not @t274)) % 0.40/0.88 (define @t276 () (not (tptp.c_lessequals @t47 @t85 @t10))) % 0.40/0.88 (define @t277 () (tptp.c_HOL_Oplus__class_Oplus @t31 @t85 @t10)) % 0.40/0.88 (define @t278 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t10))) % 0.40/0.88 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t58 @t66 tptp.tc_nat)) % 0.40/0.88 (define @t280 () (not @t279)) % 0.40/0.88 (define @t281 () (tptp.c_Suc @t12)) % 0.40/0.88 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t12 @t281 tptp.tc_nat)) % 0.40/0.88 (define @t283 () (tptp.c_lessequals @t12 @t12 tptp.tc_nat)) % 0.40/0.88 (define @t284 () (@list @t12)) % 0.40/0.88 (define @t285 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t12 @t10)) % 0.40/0.88 (define @t286 () (tptp.c_HOL_Otimes__class_Otimes @t57 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t287 () (= (tptp.c_HOL_Oplus__class_Oplus @t44 @t44 @t10) @t44)) % 0.40/0.88 (define @t288 () (@list @t10)) % 0.40/0.88 (define @t289 () (not (tptp.c_lessequals @t44 @t44 @t10))) % 0.40/0.88 (define @t290 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t10))) % 0.40/0.88 (define @t291 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t28 @t10)) % 0.40/0.88 (define @t292 () (tptp.c_Divides_Odiv__class_Omod @t119 @t47 @t10)) % 0.40/0.88 (define @t293 () (tptp.c_lessequals @t44 @t31 @t10)) % 0.40/0.88 (define @t294 () (not @t293)) % 0.40/0.88 (define @t295 () (= @t58 @t127)) % 0.40/0.88 (define @t296 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t83 tptp.tc_nat)) % 0.40/0.88 (define @t297 () (tptp.c_HOL_Oord__class_Oless @t12 @t15 @t10)) % 0.40/0.88 (define @t298 () (not @t297)) % 0.40/0.88 (define @t299 () (not (tptp.class_Orderings_Opreorder @t10))) % 0.40/0.88 (define @t300 () (tptp.c_HOL_Oord__class_Oless @t15 @t12 @t10)) % 0.40/0.88 (define @t301 () (not @t300)) % 0.40/0.88 (define @t302 () (not (tptp.class_Orderings_Oorder @t10))) % 0.40/0.88 (define @t303 () (= @t18 @t15)) % 0.40/0.88 (define @t304 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t11 @t10)) % 0.40/0.88 (define @t305 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t304 @t10)) % 0.40/0.88 (define @t306 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t11 @t10)) % 0.40/0.88 (define @t307 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t11 tptp.tc_nat)) % 0.40/0.88 (define @t308 () (tptp.c_HOL_Oplus__class_Oplus @t31 @t47 @t10)) % 0.40/0.88 (define @t309 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t308 @t10)) % 0.40/0.88 (define @t310 () (tptp.c_HOL_Oplus__class_Oplus @t119 @t47 @t10)) % 0.40/0.88 (define @t311 () (= @t310 @t309)) % 0.40/0.88 (define @t312 () (tptp.c_HOL_Oplus__class_Oplus @t47 @t85 @t10)) % 0.40/0.88 (define @t313 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t312 @t10)) % 0.40/0.88 (define @t314 () (@list @t10 @t28 @t47 @t85)) % 0.40/0.88 (define @t315 () (tptp.c_HOL_Oord__class_Oless @t127 @t122 tptp.tc_nat)) % 0.40/0.88 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t127 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t317 () (tptp.c_lessequals @t128 @t130 tptp.tc_nat)) % 0.40/0.88 (define @t318 () (not @t317)) % 0.40/0.88 (define @t319 () (tptp.c_lessequals @t128 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t320 () (tptp.c_lessequals @t128 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t321 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t322 () (not (tptp.c_lessequals @t321 @t57 tptp.tc_nat))) % 0.40/0.88 (define @t323 () (tptp.c_lessequals @t2 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t324 () (@list @t2 @t57 @t58)) % 0.40/0.88 (define @t325 () (tptp.c_lessequals @t12 @t72 tptp.tc_nat)) % 0.40/0.88 (define @t326 () (tptp.c_lessequals @t12 @t15 tptp.tc_nat)) % 0.40/0.88 (define @t327 () (tptp.c_Divides_Odiv__class_Omod @t98 @t47 @t10)) % 0.40/0.88 (define @t328 () (not (tptp.class_Divides_Oring__div @t10))) % 0.40/0.88 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t83 tptp.tc_nat)) % 0.40/0.88 (define @t330 () (tptp.c_Lambda_OdB_OVar @t4)) % 0.40/0.88 (define @t331 () (tptp.c_Lambda_Olift @t330 @t2)) % 0.40/0.88 (define @t332 () (@list @t4 @t2)) % 0.40/0.88 (define @t333 () (= @t41 @t12)) % 0.40/0.88 (define @t334 () (tptp.c_lessequals @t218 @t12 @t10)) % 0.40/0.88 (define @t335 () (not @t219)) % 0.40/0.88 (define @t336 () (tptp.c_HOL_Oplus__class_Oplus @t237 @t237 @t10)) % 0.40/0.88 (define @t337 () (= @t15 @t44)) % 0.40/0.88 (define @t338 () (not (tptp.c_lessequals @t44 @t12 @t10))) % 0.40/0.88 (define @t339 () (not (tptp.c_lessequals @t44 @t15 @t10))) % 0.40/0.88 (define @t340 () (not (= @t126 @t44))) % 0.40/0.88 (define @t341 () (= @t12 @t44)) % 0.40/0.88 (define @t342 () (not (= @t122 @t127))) % 0.40/0.88 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t47 @t87 @t10)) % 0.40/0.88 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t92 @t90 @t10)) % 0.40/0.88 (define @t345 () (not @t344)) % 0.40/0.88 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t99 @t85 @t10)) % 0.40/0.88 (define @t347 () (= @t135 (tptp.c_Divides_Odiv__class_Omod @t105 @t57 tptp.tc_nat))) % 0.40/0.88 (define @t348 () (not (= @t173 @t198))) % 0.40/0.88 (define @t349 () (= @t31 @t44)) % 0.40/0.88 (define @t350 () (not (= @t163 @t44))) % 0.40/0.88 (define @t351 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t10))) % 0.40/0.88 (define @t352 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t10))) % 0.40/0.88 (define @t353 () (@var "V_b_H" $$unsorted)) % 0.40/0.88 (define @t354 () (@var "V_a_H" $$unsorted)) % 0.40/0.88 (define @t355 () (not (= @t162 (tptp.c_Divides_Odiv__class_Omod @t354 @t47 @t10)))) % 0.40/0.88 (define @t356 () (not (= @t161 (tptp.c_Divides_Odiv__class_Omod @t353 @t47 @t10)))) % 0.40/0.88 (define @t357 () (@list @t10 @t31 @t47 @t353 @t28 @t354)) % 0.40/0.88 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t28 @t44 @t10)) % 0.40/0.88 (define @t359 () (not @t358)) % 0.40/0.88 (define @t360 () (tptp.c_HOL_Oord__class_Oless @t265 @t44 @t10)) % 0.40/0.88 (define @t361 () (not @t360)) % 0.40/0.88 (define @t362 () (not (tptp.class_Ring__and__Field_Oordered__idom @t10))) % 0.40/0.88 (define @t363 () (not (= @t128 @t122))) % 0.40/0.88 (define @t364 () (@list @t10 @t31 @t28)) % 0.40/0.88 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t44 @t163 @t10)) % 0.40/0.88 (define @t366 () (not (tptp.c_HOL_Oord__class_Oless @t31 @t44 @t10))) % 0.40/0.88 (define @t367 () (not @t316)) % 0.40/0.88 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t127 @t130 tptp.tc_nat)) % 0.40/0.88 (define @t369 () (not @t19)) % 0.40/0.88 (define @t370 () (not @t166)) % 0.40/0.88 (define @t371 () (tptp.c_lessequals @t12 @t34 @t10)) % 0.40/0.88 (define @t372 () (not @t35)) % 0.40/0.88 (define @t373 () (tptp.c_lessequals @t7 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t374 () (tptp.c_lessequals @t1 @t5 tptp.tc_nat)) % 0.40/0.88 (define @t375 () (@list @t1 @t4 @t2)) % 0.40/0.88 (define @t376 () (@list @t1 @t2 @t4)) % 0.40/0.88 (define @t377 () (tptp.c_HOL_Oord__class_Oless @t11 @t18 @t10)) % 0.40/0.88 (define @t378 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t10))) % 0.40/0.88 (define @t379 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t10))) % 0.40/0.88 (define @t380 () (@var "V_dB_H" $$unsorted)) % 0.40/0.88 (define @t381 () (@var "V_dB" $$unsorted)) % 0.40/0.88 (define @t382 () (tptp.c_Lambda_OdB_OAbs @t380)) % 0.40/0.88 (define @t383 () (tptp.c_lessequals @t173 @t198 tptp.tc_nat)) % 0.40/0.88 (define @t384 () (not @t383)) % 0.40/0.88 (define @t385 () (tptp.c_lessequals @t170 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t386 () (tptp.c_lessequals @t58 @t196 tptp.tc_nat)) % 0.40/0.88 (define @t387 () (tptp.c_Divides_Odiv__class_Omod @t61 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t388 () (tptp.c_HOL_Oplus__class_Oplus @t177 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t41 @t11 @t10)) % 0.40/0.88 (define @t390 () (@var "V_w" $$unsorted)) % 0.40/0.88 (define @t391 () (= @t390 @t12)) % 0.40/0.88 (define @t392 () (= @t15 @t11)) % 0.40/0.88 (define @t393 () (= @t28 @t31)) % 0.40/0.88 (define @t394 () (= @t47 @t85)) % 0.40/0.88 (define @t395 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t47 tptp.tc_nat)) % 0.40/0.88 (define @t396 () (tptp.c_lessequals @t28 @t44 @t10)) % 0.40/0.88 (define @t397 () (not @t396)) % 0.40/0.88 (define @t398 () (tptp.c_HOL_Oord__class_Oless @t119 @t44 @t10)) % 0.40/0.88 (define @t399 () (tptp.c_lessequals @t31 @t44 @t10)) % 0.40/0.88 (define @t400 () (not @t399)) % 0.40/0.88 (define @t401 () (= @t57 @t83)) % 0.40/0.88 (define @t402 () (tptp.c_HOL_Otimes__class_Otimes @t44 @t44 @t10)) % 0.40/0.88 (define @t403 () (tptp.c_HOL_Oplus__class_Oplus @t402 @t402 @t10)) % 0.40/0.88 (define @t404 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t7 tptp.tc_nat)) % 0.40/0.88 (define @t405 () (tptp.c_HOL_Ominus__class_Ominus @t75 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t406 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t407 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t408 () (tptp.c_HOL_Ominus__class_Ominus @t407 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t409 () (@var "V_ry" $$unsorted)) % 0.40/0.88 (define @t410 () (@var "V_ly" $$unsorted)) % 0.40/0.88 (define @t411 () (@var "V_rx" $$unsorted)) % 0.40/0.88 (define @t412 () (@var "V_lx" $$unsorted)) % 0.40/0.88 (define @t413 () (tptp.c_HOL_Otimes__class_Otimes @t412 @t411 @t10)) % 0.40/0.88 (define @t414 () (tptp.c_HOL_Otimes__class_Otimes @t411 @t409 @t10)) % 0.40/0.88 (define @t415 () (tptp.c_HOL_Otimes__class_Otimes @t412 @t410 @t10)) % 0.40/0.88 (define @t416 () (tptp.c_HOL_Otimes__class_Otimes @t415 @t414 @t10)) % 0.40/0.88 (define @t417 () (@list @t10 @t412 @t410 @t411 @t409)) % 0.40/0.88 (define @t418 () (= (tptp.c_HOL_Otimes__class_Otimes @t44 @t28 @t10) @t44)) % 0.40/0.88 (define @t419 () (= (tptp.c_HOL_Otimes__class_Otimes @t28 @t44 @t10) @t44)) % 0.40/0.88 (define @t420 () (not (tptp.class_Ring__and__Field_Omult__zero @t10))) % 0.40/0.88 (define @t421 () (tptp.c_HOL_Otimes__class_Otimes @t127 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t422 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t127 tptp.tc_nat)) % 0.40/0.88 (define @t423 () (tptp.c_HOL_Oplus__class_Oplus @t28 @t237 @t10)) % 0.40/0.88 (define @t424 () (tptp.c_HOL_Otimes__class_Otimes @t423 @t58 @t10)) % 0.40/0.88 (define @t425 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t58 @t10)) % 0.40/0.88 (define @t426 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat))) % 0.40/0.88 (define @t427 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 tptp.tc_nat)) % 0.40/0.88 (define @t428 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 @t10)) % 0.40/0.88 (define @t429 () (not @t428)) % 0.40/0.88 (define @t430 () (tptp.c_lessequals @t12 @t12 @t10)) % 0.40/0.88 (define @t431 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t162 @t31 @t10) @t47 @t10)) % 0.40/0.88 (define @t432 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t28 @t161 @t10) @t47 @t10)) % 0.40/0.88 (define @t433 () (tptp.c_Orderings_Oord__class_Omin @t12 @t183 @t10)) % 0.40/0.88 (define @t434 () (not (= @t130 @t83))) % 0.40/0.88 (define @t435 () (= @t58 @t83)) % 0.40/0.88 (define @t436 () (tptp.c_HOL_Oplus__class_Oplus @t127 @t128 tptp.tc_nat)) % 0.40/0.88 (define @t437 () (not (tptp.c_HOL_Oord__class_Oless @t31 @t47 @t10))) % 0.40/0.88 (define @t438 () (not (tptp.c_lessequals @t2 @t58 tptp.tc_nat))) % 0.40/0.88 (define @t439 () (not @t323)) % 0.40/0.88 (define @t440 () (tptp.c_HOL_Ominus__class_Ominus @t57 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t441 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t442 () (tptp.c_lessequals @t441 @t440 tptp.tc_nat)) % 0.40/0.88 (define @t443 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t444 () (tptp.c_HOL_Ominus__class_Ominus @t169 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t445 () (@var "V_xa" $$unsorted)) % 0.40/0.88 (define @t446 () (@var "V_y_H" $$unsorted)) % 0.40/0.88 (define @t447 () (@var "V_x_H" $$unsorted)) % 0.40/0.88 (define @t448 () (tptp.c_HOL_Ominus__class_Ominus @t447 @t446 @t10)) % 0.40/0.88 (define @t449 () (tptp.c_HOL_Oord__class_Oless @t181 @t180 tptp.tc_nat)) % 0.40/0.88 (define @t450 () (not @t449)) % 0.40/0.88 (define @t451 () (tptp.c_HOL_Oord__class_Oless @t102 @t177 tptp.tc_nat)) % 0.40/0.88 (define @t452 () (not @t451)) % 0.40/0.88 (define @t453 () (not @t270)) % 0.40/0.88 (define @t454 () (tptp.c_HOL_Oord__class_Oless @t47 @t44 @t10)) % 0.40/0.88 (define @t455 () (not @t454)) % 0.40/0.88 (define @t456 () (tptp.c_lessequals @t151 @t150 @t10)) % 0.40/0.88 (define @t457 () (not @t456)) % 0.40/0.88 (define @t458 () (@list @t10 @t47 @t28 @t31)) % 0.40/0.88 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t44 @t47 @t10)) % 0.40/0.88 (define @t460 () (not @t459)) % 0.40/0.88 (define @t461 () (tptp.c_lessequals @t144 @t143 @t10)) % 0.40/0.88 (define @t462 () (not (tptp.c_HOL_Oord__class_Oless @t128 @t57 tptp.tc_nat))) % 0.40/0.88 (define @t463 () (not (tptp.c_HOL_Oord__class_Oless @t128 @t58 tptp.tc_nat))) % 0.40/0.88 (define @t464 () (tptp.c_HOL_Oord__class_Oless @t12 @t34 @t10)) % 0.40/0.88 (define @t465 () (not @t233)) % 0.40/0.88 (define @t466 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t83 tptp.tc_nat)) % 0.40/0.88 (define @t467 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t466 tptp.tc_nat))) % 0.40/0.88 (define @t468 () (tptp.c_Lambda_Olift @t110 @t4)) % 0.40/0.88 (define @t469 () (tptp.c_Lambda_Olift @t108 @t4)) % 0.40/0.88 (define @t470 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t108 @t110 @t1) @t4)) % 0.40/0.88 (define @t471 () (@list @t108 @t110 @t1 @t4)) % 0.40/0.88 (define @t472 () (not @t368)) % 0.40/0.88 (define @t473 () (= @t12 @t15)) % 0.40/0.88 (define @t474 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t15 @t10)) % 0.40/0.88 (define @t475 () (not (= @t98 @t44))) % 0.40/0.88 (define @t476 () (not (tptp.c_lessequals @t112 @t44 @t10))) % 0.40/0.88 (define @t477 () (tptp.c_HOL_Oord__class_Oless @t218 @t12 @t10)) % 0.40/0.88 (define @t478 () (not @t254)) % 0.40/0.88 (define @t479 () (tptp.c_HOL_Oord__class_Oless @t44 @t119 @t10)) % 0.40/0.88 (define @t480 () (tptp.c_lessequals @t163 @t44 @t10)) % 0.40/0.88 (define @t481 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t10))) % 0.40/0.88 (define @t482 () (tptp.c_HOL_Otimes__class_Otimes @t28 @t28 @t10)) % 0.40/0.88 (define @t483 () (tptp.c_Suc @t2)) % 0.40/0.88 (define @t484 () (tptp.c_HOL_Otimes__class_Otimes @t483 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t485 () (tptp.c_HOL_Otimes__class_Otimes @t483 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t486 () (tptp.c_HOL_Oord__class_Oless @t485 @t484 tptp.tc_nat)) % 0.40/0.88 (define @t487 () (= @t31 @t47)) % 0.40/0.88 (define @t488 () (not (= @t119 @t49))) % 0.40/0.88 (define @t489 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t490 () (tptp.c_Lambda_OdB_OAbs @t110)) % 0.40/0.88 (define @t491 () (@list @t110 @t108)) % 0.40/0.88 (define @t492 () (tptp.c_HOL_Ominus__class_Ominus @t57 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t493 () (tptp.c_lessequals @t98 @t44 @t10)) % 0.40/0.88 (define @t494 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t57 @t83 tptp.tc_nat))) % 0.40/0.88 (define @t495 () (@var "V_dB2_H" $$unsorted)) % 0.40/0.88 (define @t496 () (@var "V_dB2" $$unsorted)) % 0.40/0.88 (define @t497 () (@var "V_dB1_H" $$unsorted)) % 0.40/0.88 (define @t498 () (tptp.c_Lambda_OdB_OApp @t497 @t495)) % 0.40/0.88 (define @t499 () (@var "V_dB1" $$unsorted)) % 0.40/0.88 (define @t500 () (tptp.c_Lambda_OdB_OApp @t499 @t496)) % 0.40/0.88 (define @t501 () (not (= @t500 @t498))) % 0.40/0.88 (define @t502 () (@list @t499 @t496 @t497 @t495)) % 0.40/0.88 (define @t503 () (tptp.c_HOL_Oord__class_Oless @t49 @t277 @t10)) % 0.40/0.88 (define @t504 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t10))) % 0.40/0.88 (define @t505 () (@list @t12 @t15)) % 0.40/0.88 (define @t506 () (tptp.c_HOL_Oord__class_Oless @t98 @t44 @t10)) % 0.40/0.88 (define @t507 () (tptp.c_lessequals @t49 @t308 @t10)) % 0.40/0.88 (define @t508 () (tptp.c_HOL_Oplus__class_Oplus @t47 @t31 @t10)) % 0.40/0.88 (define @t509 () (tptp.c_lessequals @t116 @t508 @t10)) % 0.40/0.88 (define @t510 () (tptp.c_lessequals @t234 @t125 tptp.tc_nat)) % 0.40/0.88 (define @t511 () (@list @t4 @t1)) % 0.40/0.88 (define @t512 () (= (tptp.c_HOL_Oplus__class_Oplus @t57 @t105 tptp.tc_nat) @t58)) % 0.40/0.88 (define @t513 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t10))) % 0.40/0.88 (define @t514 () (@var "V_xb" $$unsorted)) % 0.40/0.88 (define @t515 () (not @t480)) % 0.40/0.88 (define @t516 () (tptp.c_HOL_Oord__class_Oless @t163 @t44 @t10)) % 0.40/0.88 (define @t517 () (tptp.c_HOL_Oord__class_Oless @t441 @t440 tptp.tc_nat)) % 0.40/0.88 (define @t518 () (tptp.c_lessequals @t265 @t44 @t10)) % 0.40/0.88 (define @t519 () (@var "V_r" $$unsorted)) % 0.40/0.88 (define @t520 () (@var "V_q" $$unsorted)) % 0.40/0.88 (define @t521 () (not (tptp.c_lessequals @t47 @t44 @t10))) % 0.40/0.88 (define @t522 () (not (tptp.class_Ring__and__Field_Omult__mono @t10))) % 0.40/0.88 (define @t523 () (not (= @t112 @t44))) % 0.40/0.88 (define @t524 () (tptp.c_HOL_Oord__class_Oless @t4 @t7 tptp.tc_nat)) % 0.40/0.88 (define @t525 () (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t526 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t10))) % 0.40/0.88 (define @t527 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t83 tptp.tc_nat)) % 0.40/0.88 (define @t528 () (tptp.c_Lambda_OdB_OAbs @t108)) % 0.40/0.88 (define @t529 () (not (tptp.c_lessequals @t15 @t237 @t10))) % 0.40/0.88 (define @t530 () (tptp.c_Suc @t135)) % 0.40/0.88 (define @t531 () (= @t530 @t57)) % 0.40/0.88 (define @t532 () (@var "V_v" $$unsorted)) % 0.40/0.88 (define @t533 () (not (= @t122 @t128))) % 0.40/0.88 (define @t534 () (tptp.c_lessequals @t485 @t484 tptp.tc_nat)) % 0.40/0.88 (define @t535 () (tptp.c_HOL_Oord__class_Oless @t44 @t112 @t10)) % 0.40/0.88 (define @t536 () (not (tptp.c_Lambda_Obeta @t110 @t108))) % 0.40/0.88 (define @t537 () (tptp.c_Lambda_OdB_OApp @t108 @t168)) % 0.40/0.88 (define @t538 () (tptp.c_Orderings_Oord__class_Omax @t15 @t12 @t10)) % 0.40/0.88 (define @t539 () (tptp.c_HOL_Otimes__class_Otimes @t58 @t58 tptp.tc_nat)) % 0.40/0.88 (define @t540 () (tptp.c_HOL_Oord__class_Oless @t31 @t28 @t10)) % 0.40/0.88 (define @t541 () (tptp.c_HOL_Ominus__class_Ominus @t57 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t542 () (@list @t57 @t4)) % 0.40/0.88 (define @t543 () (not (tptp.c_Lambda_Obeta @t519 @t110))) % 0.40/0.88 (define @t544 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat)) % 0.40/0.88 (define @t545 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t546 () (@list @t2 @t4 @t1)) % 0.40/0.88 (define @t547 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t548 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 tptp.tc_nat)) % 0.40/0.88 (define @t549 () (not @t540)) % 0.40/0.88 (define @t550 () (tptp.c_lessequals @t144 @t209 @t10)) % 0.40/0.88 (define @t551 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t10))) % 0.40/0.88 (define @t552 () (tptp.c_Orderings_Oord__class_Omax @t12 @t26 @t10)) % 0.40/0.88 (define @t553 () (tptp.c_Orderings_Oord__class_Omax @t12 @t11 @t10)) % 0.40/0.88 (define @t554 () (= (tptp.c_HOL_Oplus__class_Oplus @t44 @t28 @t10) @t28)) % 0.40/0.88 (define @t555 () (= (tptp.c_HOL_Oplus__class_Oplus @t28 @t44 @t10) @t28)) % 0.40/0.88 (define @t556 () (not (tptp.class_OrderedGroup_Omonoid__add @t10))) % 0.40/0.88 (define @t557 () (tptp.c_lessequals @t44 @t163 @t10)) % 0.40/0.88 (define @t558 () (not @t557)) % 0.40/0.88 (define @t559 () (tptp.c_HOL_Oord__class_Oless @t44 @t265 @t10)) % 0.40/0.88 (define @t560 () (tptp.c_HOL_Oord__class_Oless @t49 @t308 @t10)) % 0.40/0.88 (define @t561 () (tptp.c_HOL_Oord__class_Oless @t116 @t508 @t10)) % 0.40/0.88 (define @t562 () (tptp.c_HOL_Oord__class_Oless @t234 @t125 tptp.tc_nat)) % 0.40/0.88 (define @t563 () (tptp.c_Orderings_Oord__class_Omin @t58 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t564 () (tptp.c_HOL_Oord__class_Oless @t57 @t61 tptp.tc_nat)) % 0.40/0.88 (define @t565 () (not @t564)) % 0.40/0.88 (define @t566 () (= @t57 @t58)) % 0.40/0.88 (define @t567 () (tptp.c_HOL_Oord__class_Oless @t127 @t492 tptp.tc_nat)) % 0.40/0.88 (define @t568 () (tptp.c_Orderings_Oord__class_Omin @t18 @t553 @t10)) % 0.40/0.88 (define @t569 () (tptp.c_Orderings_Oord__class_Omax @t12 @t183 @t10)) % 0.40/0.88 (define @t570 () (tptp.c_lessequals @t446 @t447 @t10)) % 0.40/0.88 (define @t571 () (not (= @t474 @t448))) % 0.40/0.88 (define @t572 () (@list @t10 @t12 @t15 @t447 @t446)) % 0.40/0.88 (define @t573 () (tptp.c_HOL_Oord__class_Oless @t447 @t446 @t10)) % 0.40/0.88 (define @t574 () (tptp.c_Suc @t4)) % 0.40/0.88 (define @t575 () (not (= @t83 @t130))) % 0.40/0.88 (define @t576 () (tptp.c_HOL_Otimes__class_Otimes @t415 @t411 @t10)) % 0.40/0.88 (define @t577 () (@list @t10 @t412 @t410 @t411)) % 0.40/0.88 (define @t578 () (tptp.c_HOL_Otimes__class_Otimes @t412 @t414 @t10)) % 0.40/0.88 (define @t579 () (@list @t10 @t412 @t411 @t409)) % 0.40/0.88 (define @t580 () (= (tptp.c_HOL_Otimes__class_Otimes @t119 @t47 @t10) (tptp.c_HOL_Oplus__class_Oplus @t144 @t143 @t10))) % 0.40/0.88 (define @t581 () (tptp.c_lessequals @t66 @t61 tptp.tc_nat)) % 0.40/0.88 (define @t582 () (tptp.c_HOL_Oord__class_Oless @t61 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t583 () (@var "V_nat" $$unsorted)) % 0.40/0.88 (define @t584 () (tptp.c_Lambda_OdB_OVar @t583)) % 0.40/0.88 (define @t585 () (@var "V_nat_H" $$unsorted)) % 0.40/0.88 (define @t586 () (= @t583 @t585)) % 0.40/0.88 (define @t587 () (@list @t583 @t585)) % 0.40/0.88 (define @t588 () (tptp.c_Lambda_OdB_OVar @t1)) % 0.40/0.88 (define @t589 () (tptp.c_Lambda_Osubst @t588 @t168 @t4)) % 0.40/0.88 (define @t590 () (@list @t1 @t168 @t4)) % 0.40/0.88 (define @t591 () (tptp.c_lessequals @t58 @t66 tptp.tc_nat)) % 0.40/0.88 (define @t592 () (tptp.c_HOL_Oord__class_Oless @t2 @t4 tptp.tc_nat)) % 0.40/0.88 (define @t593 () (tptp.c_Lambda_Osubst @t330 @t110 @t2)) % 0.40/0.88 (define @t594 () (@list @t4 @t110 @t2)) % 0.40/0.88 (define @t595 () (tptp.c_Suc @t585)) % 0.40/0.88 (define @t596 () (@list @t585)) % 0.40/0.88 (define @t597 () (tptp.c_Suc @t122)) % 0.40/0.88 (define @t598 () (tptp.c_HOL_Oplus__class_Oplus @t61 @t57 tptp.tc_nat)) % 0.40/0.88 (define @t599 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t66 tptp.tc_nat)) % 0.40/0.88 (define @t600 () (tptp.c_HOL_Oord__class_Oless @t61 @t66 tptp.tc_nat)) % 0.40/0.88 (define @t601 () (forall @t511 (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra @t330 @t1)))) % 0.40/0.88 (define @t602 () (tptp.c_Suc tptp.v_ja)) % 0.40/0.88 (define @t603 () (tptp.c_Suc tptp.v_ia)) % 0.40/0.88 (define @t604 () (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra (tptp.c_Lambda_OdB_OVar @t603) @t602))) % 0.40/0.88 (assume @p1 (forall @t9 (or @t8 (not @t6) @t3))) % 0.40/0.88 (assume @p2 (forall @t21 (or @t20 @t19 @t17 @t14))) % 0.40/0.88 (assume @p3 (forall @t27 (or @t20 (tptp.c_lessequals @t26 @t12 @t10) @t25 @t23))) % 0.40/0.88 (assume @p4 (forall @t36 (or @t20 @t35 @t33 @t30))) % 0.40/0.88 (assume @p5 (forall @t37 (or @t20 (tptp.c_lessequals @t12 @t18 @t10)))) % 0.40/0.88 (assume @p6 (forall @t38 (or @t20 (tptp.c_lessequals @t15 @t18 @t10)))) % 0.40/0.88 (assume @p7 (forall @t27 (or @t20 (= (tptp.c_Orderings_Oord__class_Omin @t26 @t12 @t10) (tptp.c_Orderings_Oord__class_Omax @t39 (tptp.c_Orderings_Oord__class_Omin @t11 @t12 @t10) @t10))))) % 0.40/0.88 (assume @p8 (forall @t21 (or @t20 (= @t43 @t42)))) % 0.40/0.88 (assume @p9 (forall @t53 (or @t52 @t51 @t50 @t48 @t46))) % 0.40/0.88 (assume @p10 (forall @t53 (or @t52 @t51 @t50 @t56 @t54))) % 0.40/0.88 (assume @p11 (forall @t63 (or @t62 @t60))) % 0.40/0.88 (assume @p12 (forall @t63 (or @t59 @t64))) % 0.40/0.88 (assume @p13 (forall @t68 (or @t67 (not @t65)))) % 0.40/0.88 (assume @p14 (forall @t68 (or @t65 @t69))) % 0.40/0.88 (assume @p15 (forall @t74 (or @t73 @t71))) % 0.40/0.88 (assume @p16 (forall @t74 (or @t73 (not (tptp.c_HOL_Oord__class_Oless @t12 @t11 tptp.tc_nat))))) % 0.40/0.88 (assume @p17 (forall @t77 (or @t76 (not (tptp.c_HOL_Oord__class_Oless @t75 @t2 tptp.tc_nat))))) % 0.40/0.88 (assume @p18 (forall @t80 (or (tptp.c_HOL_Oord__class_Oless @t4 @t79 tptp.tc_nat) @t78))) % 0.40/0.88 (assume @p19 (forall @t82 (or (tptp.c_HOL_Oord__class_Oless @t4 @t81 tptp.tc_nat) @t78))) % 0.40/0.88 (assume @p20 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t66 @t83 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p21 (forall @t95 (or @t94 @t93 (not @t88)))) % 0.40/0.88 (assume @p22 (forall @t97 (or @t94 @t88 @t96))) % 0.40/0.88 (assume @p23 (forall @t95 (or @t94 @t93 (not @t100)))) % 0.40/0.88 (assume @p24 (forall @t101 (or @t94 @t100 @t96))) % 0.40/0.88 (assume @p25 (forall (@list @t2 @t58) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t102) @t2 tptp.tc_nat) @t83) (not (tptp.c_HOL_Oord__class_Oless @t83 @t2 tptp.tc_nat))))) % 0.40/0.88 (assume @p26 (forall @t63 (or (= @t106 (tptp.c_Suc @t105)) @t104))) % 0.40/0.88 (assume @p27 (= @t83 @t107)) % 0.40/0.88 (assume @p28 (forall (@list @t110 @t108 @t2) (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OApp @t110 @t108) @t2) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t110 @t2) @t109)))) % 0.40/0.88 (assume @p29 (forall @t37 (or @t113 (tptp.c_lessequals @t44 @t112 @t10)))) % 0.40/0.88 (assume @p30 (forall @t115 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t28 @t44 @t10) @t28)))) % 0.40/0.88 (assume @p31 (forall @t115 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t28 @t28 @t10) @t44)))) % 0.40/0.88 (assume @p32 (forall (@list @t10 @t28 @t47) (or @t117 (= @t49 @t116)))) % 0.40/0.88 (assume @p33 (forall @t120 (or @t51 (= @t119 @t118)))) % 0.40/0.88 (assume @p34 (forall @t63 (= @t122 @t121))) % 0.40/0.88 (assume @p35 (forall (@list @t58 @t123 @t2 @t57) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t123 tptp.tc_nat) @t125)) @t124 @t59))) % 0.40/0.88 (assume @p36 (forall @t37 (or @t117 (= @t126 (tptp.c_HOL_Oplus__class_Oplus @t15 @t12 @t10))))) % 0.40/0.88 (assume @p37 (forall @t63 (or @t131 @t129))) % 0.40/0.88 (assume @p38 (forall @t63 (or @t131 @t132))) % 0.40/0.88 (assume @p39 (forall @t63 (or (tptp.c_lessequals @t135 @t57 tptp.tc_nat) @t134))) % 0.40/0.88 (assume @p40 (forall @t138 (or (tptp.c_HOL_Oord__class_Oless @t137 @t136 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t58 @t123 tptp.tc_nat)) @t60))) % 0.40/0.88 (assume @p41 (forall (@list @t10 @t12 @t28) (or @t141 @t140 (not (= @t12 (tptp.c_HOL_Oplus__class_Oplus @t12 @t28 @t10))) @t139))) % 0.40/0.88 (assume @p42 (forall @t63 (or (not (= @t122 @t58)) @t142))) % 0.40/0.88 (assume @p43 (forall (@list @t12 @t28) (or (not (= @t12 (tptp.c_HOL_Oplus__class_Oplus @t12 @t28 tptp.tc_nat))) (= @t28 @t127)))) % 0.40/0.88 (assume @p44 (forall @t149 (or @t148 @t147 @t54 @t146))) % 0.40/0.88 (assume @p45 (forall @t149 (or @t148 @t147 @t54 @t153))) % 0.40/0.88 (assume @p46 (forall @t149 (or @t154 @t147 @t54 @t146))) % 0.40/0.88 (assume @p47 (forall @t149 (or @t154 @t147 @t54 @t153))) % 0.40/0.88 (assume @p48 (forall @t158 (or @t157 @t156))) % 0.40/0.88 (assume @p49 (forall @t158 (or @t159 @t156))) % 0.40/0.88 (assume @p50 (forall @t115 (or @t159 (= (tptp.c_HOL_Ominus__class_Ominus @t28 @t44 @t10) @t28)))) % 0.40/0.88 (assume @p51 (forall @t115 (or @t159 (= (tptp.c_HOL_Ominus__class_Ominus @t28 @t28 @t10) @t44)))) % 0.40/0.88 (assume @p52 (forall @t158 (or @t141 @t140 @t156))) % 0.40/0.88 (assume @p53 (forall @t160 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t58 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p54 (forall @t160 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t127 tptp.tc_nat) @t58))) % 0.40/0.88 (assume @p55 (forall @t149 (or @t114 (= @t164 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t162 @t161 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p56 (forall @t167 (or @t20 @t166 @t24 (not @t165)))) % 0.40/0.88 (assume @p57 (forall (@list @t1 @t4 @t168 @t58) (or @t174 (= @t173 (tptp.c_HOL_Oplus__class_Oplus @t171 @t170 tptp.tc_nat))))) % 0.40/0.88 (assume @p58 (forall @t179 (or @t178 @t176 @t175))) % 0.40/0.88 (assume @p59 (forall @t179 (or @t178 @t175 @t176))) % 0.40/0.88 (assume @p60 (forall @t182 (or (not (= @t181 @t180)) @t175 @t176))) % 0.40/0.88 (assume @p61 (forall @t186 (or @t20 @t13 @t185))) % 0.40/0.88 (assume @p62 (forall @t21 (or @t20 @t187 @t185))) % 0.40/0.88 (assume @p63 (forall @t21 (or @t20 @t188 @t17))) % 0.40/0.88 (assume @p64 (forall @t77 (or @t6 (not @t8) @t3))) % 0.40/0.88 (assume @p65 (forall @t190 (tptp.c_HOL_Oord__class_Oless @t58 (tptp.c_Suc @t189) tptp.tc_nat))) % 0.40/0.88 (assume @p66 (forall @t191 (tptp.c_HOL_Oord__class_Oless @t4 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t58 @t4 tptp.tc_nat)) tptp.tc_nat))) % 0.40/0.88 (assume @p67 (forall @t191 (tptp.c_HOL_Oord__class_Oless @t4 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t4 @t58 tptp.tc_nat)) tptp.tc_nat))) % 0.40/0.88 (assume @p68 (forall @t95 (or @t193 @t192 (= @t99 @t85)))) % 0.40/0.88 (assume @p69 (forall @t95 (or @t193 @t192 (= @t47 @t87)))) % 0.40/0.88 (assume @p70 (forall @t200 (or @t199 (not @t197) @t194))) % 0.40/0.88 (assume @p71 (forall @t202 (or @t197 @t201 @t194))) % 0.40/0.88 (assume @p72 (forall @t200 (or @t199 (not @t203) @t174))) % 0.40/0.88 (assume @p73 (forall @t204 (or @t203 @t201 @t174))) % 0.40/0.88 (assume @p74 (forall (@list @t10 @t28 @t86 @t31 @t85) (or @t193 (= (tptp.c_HOL_Oplus__class_Oplus @t91 @t87 @t10) @t90)))) % 0.40/0.88 (assume @p75 (forall @t211 (or @t148 @t210 @t54 @t208 @t206 @t205))) % 0.40/0.88 (assume @p76 (forall @t213 (or @t114 (= @t212 @t164)))) % 0.40/0.88 (assume @p77 (forall @t37 (or @t20 (tptp.c_lessequals @t41 @t12 @t10)))) % 0.40/0.88 (assume @p78 (forall @t37 (or @t20 (tptp.c_lessequals @t41 @t15 @t10)))) % 0.40/0.88 (assume @p79 (forall @t220 (or @t20 @t219 @t217 @t215))) % 0.40/0.88 (assume @p80 (forall @t21 (or @t20 @t184 @t14 @t221))) % 0.40/0.88 (assume @p81 (forall (@list @t10 @t28 @t86 @t47 @t31) (or @t193 (= @t92 (tptp.c_HOL_Oplus__class_Oplus @t89 @t99 @t10))))) % 0.40/0.88 (assume @p82 (forall @t63 (or @t224 @t223))) % 0.40/0.88 (assume @p83 (forall @t63 (or @t225 @t222))) % 0.40/0.88 (assume @p84 (forall @t21 (or @t228 (= (tptp.c_HOL_Ominus__class_Ominus @t41 @t11 @t10) (tptp.c_Orderings_Oord__class_Omin @t227 @t226 @t10))))) % 0.40/0.88 (assume @p85 (forall @t21 (or @t20 @t233 @t232 @t230))) % 0.40/0.88 (assume @p86 (forall (@list @t1 @t2 @t58) (or (= (tptp.c_HOL_Ominus__class_Ominus @t236 @t58 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t235 @t234 tptp.tc_nat)) @t3))) % 0.40/0.88 (assume @p87 (forall @t158 (or @t117 (= (tptp.c_HOL_Otimes__class_Otimes @t237 @t12 @t10) @t12)))) % 0.40/0.88 (assume @p88 (forall @t84 (= (tptp.c_HOL_Otimes__class_Otimes @t57 @t83 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p89 (forall @t84 (= (tptp.c_HOL_Otimes__class_Otimes @t83 @t57 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p90 (forall @t115 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t10)) @t238))) % 0.40/0.88 (assume @p91 (forall @t115 (or @t239 @t238))) % 0.40/0.88 (assume @p92 (forall @t115 (or @t239 @t240))) % 0.40/0.88 (assume @p93 (forall @t115 (or @t117 @t240))) % 0.40/0.88 (assume @p94 (forall @t115 (or @t117 @t238))) % 0.40/0.88 (assume @p95 (forall @t53 (or @t52 @t51 @t243 @t48 @t242))) % 0.40/0.88 (assume @p96 (forall @t247 (or (tptp.c_HOL_Oord__class_Oless @t58 @t246 tptp.tc_nat) @t223 @t245))) % 0.40/0.88 (assume @p97 (= @t248 @t128)) % 0.40/0.88 (assume @p98 (forall @t120 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t249 @t31 @t10) @t249)))) % 0.40/0.88 (assume @p99 (forall @t84 (= @t66 (tptp.c_HOL_Oplus__class_Oplus @t83 @t57 tptp.tc_nat)))) % 0.40/0.88 (assume @p100 (forall @t84 (= @t66 (tptp.c_HOL_Oplus__class_Oplus @t57 @t83 tptp.tc_nat)))) % 0.40/0.88 (assume @p101 (forall @t115 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t44 @t28 @t10) @t44)))) % 0.40/0.88 (assume @p102 (forall @t255 (or @t20 @t254 @t253 @t251))) % 0.40/0.88 (assume @p103 (forall @t74 (= (tptp.c_HOL_Oplus__class_Oplus @t256 @t257 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t257 @t256 tptp.tc_nat)))) % 0.40/0.88 (assume @p104 (forall (@list @t12 @t47 @t85) (= (tptp.c_HOL_Oplus__class_Oplus @t258 @t259 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t259 @t258 tptp.tc_nat)))) % 0.40/0.88 (assume @p105 (forall (@list @t10 @t12 @t47 @t85) (or @t141 @t140 (= (tptp.c_HOL_Oplus__class_Oplus @t260 @t261 @t10) (tptp.c_HOL_Oplus__class_Oplus @t261 @t260 @t10))))) % 0.40/0.88 (assume @p106 (forall @t21 (or @t141 @t140 (= @t264 (tptp.c_HOL_Oplus__class_Oplus @t263 @t262 @t10))))) % 0.40/0.88 (assume @p107 (forall @t84 (or @t142 (not (tptp.c_HOL_Oord__class_Oless @t57 @t128 tptp.tc_nat))))) % 0.40/0.88 (assume @p108 (forall @t115 (or @t267 @t45 (not @t266)))) % 0.40/0.88 (assume @p109 (forall @t115 (or @t267 @t266 @t46))) % 0.40/0.88 (assume @p110 (forall @t37 (or @t20 (= (tptp.c_Orderings_Oord__class_Omin @t12 @t41 @t10) @t41)))) % 0.40/0.88 (assume @p111 (forall @t200 (or (= @t268 (tptp.c_HOL_Ominus__class_Ominus @t58 @t196 tptp.tc_nat)) @t194))) % 0.40/0.88 (assume @p112 (forall @t200 (or (= @t268 (tptp.c_HOL_Ominus__class_Ominus @t170 @t57 tptp.tc_nat)) @t174))) % 0.40/0.88 (assume @p113 (forall @t120 (or @t159 (= (tptp.c_HOL_Oplus__class_Oplus @t98 @t31 @t10) @t28)))) % 0.40/0.88 (assume @p114 (forall @t182 (or @t269 @t244))) % 0.40/0.88 (assume @p115 (forall @t179 (or @t270 @t244))) % 0.40/0.88 (assume @p116 (forall @t273 (or (tptp.c_lessequals @t5 @t272 tptp.tc_nat) @t271 @t194))) % 0.40/0.88 (assume @p117 (forall @t211 (or @t278 (tptp.c_lessequals @t49 @t277 @t10) @t276 @t275))) % 0.40/0.88 (assume @p118 (forall @t63 (or @t279 @t223))) % 0.40/0.88 (assume @p119 (forall @t63 (or @t222 @t280))) % 0.40/0.88 (assume @p120 (forall @t284 (or (not @t283) @t282))) % 0.40/0.88 (assume @p121 (forall @t37 (or @t117 (= @t262 @t285)))) % 0.40/0.88 (assume @p122 (forall @t63 (= @t130 @t286))) % 0.40/0.88 (assume @p123 (forall @t288 (or @t267 @t287))) % 0.40/0.88 (assume @p124 (= (tptp.c_HOL_Oplus__class_Oplus @t127 @t127 tptp.tc_nat) @t127)) % 0.40/0.88 (assume @p125 (forall @t288 (or @t290 @t289 @t289 @t287))) % 0.40/0.88 (assume @p126 (forall @t120 (or @t117 (= @t163 @t291)))) % 0.40/0.88 (assume @p127 (forall @t63 (tptp.c_HOL_Oord__class_Oless @t105 @t61 tptp.tc_nat))) % 0.40/0.88 (assume @p128 (forall @t149 (or @t114 (= @t292 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t162 @t161 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p129 (forall @t120 (or @t290 (tptp.c_lessequals @t44 @t119 @t10) @t294 @t46))) % 0.40/0.88 (assume @p130 (forall @t63 (or (= @t130 (tptp.c_HOL_Oplus__class_Oplus @t57 (tptp.c_HOL_Otimes__class_Otimes @t296 @t57 tptp.tc_nat) tptp.tc_nat)) @t295))) % 0.40/0.88 (assume @p131 (forall @t186 (or @t299 @t229 @t232 @t298))) % 0.40/0.88 (assume @p132 (forall @t255 (or @t302 @t250 @t253 @t301))) % 0.40/0.88 (assume @p133 (forall @t37 (or @t20 @t303 @t221))) % 0.40/0.88 (assume @p134 (forall @t37 (or @t20 (not @t303) @t187))) % 0.40/0.88 (assume @p135 (forall @t37 (or @t20 (= @t18 @t12) @t23))) % 0.40/0.88 (assume @p136 (forall @t21 (or @t117 (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t126 @t11 @t10))))) % 0.40/0.88 (assume @p137 (forall @t21 (or @t157 (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t15 @t306 @t10))))) % 0.40/0.88 (assume @p138 (forall @t74 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t72 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t15 @t307 tptp.tc_nat)))) % 0.40/0.88 (assume @p139 (forall @t247 (= (tptp.c_HOL_Oplus__class_Oplus @t122 @t2 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t58 @t246 tptp.tc_nat)))) % 0.40/0.88 (assume @p140 (forall @t149 (or @t51 @t311))) % 0.40/0.88 (assume @p141 (forall @t149 (or @t51 (= @t309 (tptp.c_HOL_Oplus__class_Oplus @t31 @t49 @t10))))) % 0.40/0.88 (assume @p142 (forall @t149 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t10)) @t311))) % 0.40/0.88 (assume @p143 (forall @t314 (or @t117 (= @t313 (tptp.c_HOL_Oplus__class_Oplus @t49 @t85 @t10))))) % 0.40/0.88 (assume @p144 (forall @t149 (or @t117 (= @t310 (tptp.c_HOL_Oplus__class_Oplus @t49 @t31 @t10))))) % 0.40/0.88 (assume @p145 (forall @t314 (or @t117 (= @t313 (tptp.c_HOL_Oplus__class_Oplus @t47 (tptp.c_HOL_Oplus__class_Oplus @t28 @t85 @t10) @t10))))) % 0.40/0.88 (assume @p146 (forall @t149 (or @t117 @t311))) % 0.40/0.88 (assume @p147 (forall @t68 (or @t133 @t316 (not @t315)))) % 0.40/0.88 (assume @p148 (forall @t160 (not (tptp.c_HOL_Oord__class_Oless @t58 @t127 tptp.tc_nat)))) % 0.40/0.88 (assume @p149 (forall @t84 (not (tptp.c_HOL_Oord__class_Oless @t57 @t127 tptp.tc_nat)))) % 0.40/0.88 (assume @p150 (forall @t68 (or @t319 @t318))) % 0.40/0.88 (assume @p151 (forall @t63 (or @t320 @t318))) % 0.40/0.88 (assume @p152 (forall (@list @t10 @t12 @t15 @t11 @t168) (or @t157 (not (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t15 @t168 @t10))) (= @t306 @t168)))) % 0.40/0.88 (assume @p153 (forall @t82 (or (tptp.c_lessequals @t4 @t81 tptp.tc_nat) @t194))) % 0.40/0.88 (assume @p154 (forall @t80 (or (tptp.c_lessequals @t4 @t79 tptp.tc_nat) @t194))) % 0.40/0.88 (assume @p155 (forall @t324 (or @t323 @t322))) % 0.40/0.88 (assume @p156 (forall @t247 (or @t222 @t322))) % 0.40/0.88 (assume @p157 (forall @t74 (or @t325 (not (tptp.c_lessequals @t12 @t11 tptp.tc_nat))))) % 0.40/0.88 (assume @p158 (forall @t74 (or @t325 (not @t326)))) % 0.40/0.88 (assume @p159 (forall @t149 (or @t328 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t162 @t31 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p160 (forall @t149 (or @t328 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t28 @t161 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p161 (forall @t332 (or (= @t331 (tptp.c_Lambda_OdB_OVar @t329)) @t76))) % 0.40/0.88 (assume @p162 (forall @t37 (or @t20 @t333 @t221))) % 0.40/0.88 (assume @p163 (forall @t21 (or @t20 @t188 @t14))) % 0.40/0.88 (assume @p164 (forall @t36 (or @t20 @t334 @t33))) % 0.40/0.88 (assume @p165 (forall @t36 (or @t20 @t334 @t30))) % 0.40/0.88 (assume @p166 (forall (@list @t10 @t12 @t31 @t28) (or @t20 @t216 @t335))) % 0.40/0.88 (assume @p167 (forall @t220 (or @t20 @t214 @t335))) % 0.40/0.88 (assume @p168 (forall @t84 (= (tptp.c_Orderings_Oord__class_Omin @t127 @t57 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p169 (forall @t84 (= (tptp.c_Orderings_Oord__class_Omin @t57 @t127 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p170 (forall (@list @t10 @t58) (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t58 @t10) (tptp.c_HOL_Otimes__class_Otimes @t336 @t58 @t10))))) % 0.40/0.88 (assume @p171 (forall @t37 (or @t290 @t340 @t339 @t338 @t337))) % 0.40/0.88 (assume @p172 (forall @t37 (or @t290 @t340 @t339 @t338 @t341))) % 0.40/0.88 (assume @p173 (forall @t63 (or @t342 @t295))) % 0.40/0.88 (assume @p174 (forall @t63 (or @t342 @t142))) % 0.40/0.88 (assume @p175 (forall @t115 (or @t267 (not (= @t265 @t44)) @t139))) % 0.40/0.88 (assume @p176 (= @t83 @t128)) % 0.40/0.88 (assume @p177 (forall @t95 (or @t94 @t344 (not @t343)))) % 0.40/0.88 (assume @p178 (forall @t97 (or @t94 @t343 @t345))) % 0.40/0.88 (assume @p179 (forall @t95 (or @t94 @t344 (not @t346)))) % 0.40/0.88 (assume @p180 (forall @t101 (or @t94 @t346 @t345))) % 0.40/0.88 (assume @p181 (forall @t63 (or @t347 @t104))) % 0.40/0.88 (assume @p182 (forall @t200 (or @t348 @t174 (= @t170 @t57)))) % 0.40/0.88 (assume @p183 (forall @t200 (or @t348 @t194 (= @t58 @t196)))) % 0.40/0.88 (assume @p184 (forall @t27 (or @t20 @t16 @t13 (not @t188)))) % 0.40/0.88 (assume @p185 (forall (@list @t4 @t1 @t168 @t57) (or @t194 (= (tptp.c_HOL_Oplus__class_Oplus @t172 @t196 tptp.tc_nat) @t198)))) % 0.40/0.88 (assume @p186 (forall @t120 (or @t351 @t350 @t349 @t139))) % 0.40/0.88 (assume @p187 (forall @t120 (or @t352 @t350 @t349 @t139))) % 0.40/0.88 (assume @p188 (forall @t120 (or @t352 @t350 @t139 @t349))) % 0.40/0.88 (assume @p189 (forall @t63 (or (not (= @t130 @t127)) @t142 @t295))) % 0.40/0.88 (assume @p190 (forall @t357 (or @t114 @t356 @t355 (= @t292 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t354 @t353 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p191 (tptp.c_HOL_Oord__class_Oless @t127 @t128 tptp.tc_nat)) % 0.40/0.88 (assume @p192 (forall @t115 (or @t267 @t360 @t359))) % 0.40/0.88 (assume @p193 (forall @t115 (or @t267 @t358 @t361))) % 0.40/0.88 (assume @p194 (forall @t115 (or @t362 @t358 @t361))) % 0.40/0.88 (assume @p195 (forall @t115 (or @t362 @t360 @t359))) % 0.40/0.88 (assume @p196 (forall @t63 (or @t363 @t132 @t129))) % 0.40/0.88 (assume @p197 (forall @t63 (or @t363 @t295 @t142))) % 0.40/0.88 (assume @p198 (forall @t364 (or @t148 @t207 @t242 (not (tptp.c_HOL_Oord__class_Oless @t44 @t291 @t10))))) % 0.40/0.88 (assume @p199 (forall @t364 (or @t148 @t207 @t242 (not @t365)))) % 0.40/0.88 (assume @p200 (forall @t120 (or @t148 @t365 @t208 @t242))) % 0.40/0.88 (assume @p201 (forall @t120 (or @t113 @t365 @t366 @t359))) % 0.40/0.88 (assume @p202 (forall @t63 (or @t368 @t134 @t367))) % 0.40/0.88 (assume @p203 (forall @t27 (or @t20 @t16 @t369))) % 0.40/0.88 (assume @p204 (forall @t186 (or @t20 @t13 @t369))) % 0.40/0.88 (assume @p205 (forall @t255 (or @t20 @t165 @t370))) % 0.40/0.88 (assume @p206 (forall @t255 (or @t20 @t165 @t25))) % 0.40/0.88 (assume @p207 (forall @t220 (or @t20 @t371 @t217))) % 0.40/0.88 (assume @p208 (forall @t220 (or @t20 @t371 @t215))) % 0.40/0.88 (assume @p209 (forall (@list @t10 @t31 @t12 @t28) (or @t20 @t32 @t372))) % 0.40/0.88 (assume @p210 (forall (@list @t10 @t28 @t12 @t31) (or @t20 @t29 @t372))) % 0.40/0.88 (assume @p211 (forall @t375 (or @t374 (not @t373)))) % 0.40/0.88 (assume @p212 (forall @t376 (or @t373 (not @t374)))) % 0.40/0.88 (assume @p213 (forall @t167 (or @t20 @t252 @t250 (not @t377)))) % 0.40/0.88 (assume @p214 (forall @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t58 @t66 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t58 @t130 tptp.tc_nat)))) % 0.40/0.88 (assume @p215 (forall @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t61 @t57 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t57 @t130 tptp.tc_nat)))) % 0.40/0.88 (assume @p216 (forall @t288 (or @t378 (not (tptp.c_HOL_Oord__class_Oless @t237 @t44 @t10))))) % 0.40/0.88 (assume @p217 (forall @t288 (or @t379 (not (= @t237 @t44))))) % 0.40/0.88 (assume @p218 (forall (@list @t381 @t380) (or (not (= (tptp.c_Lambda_OdB_OAbs @t381) @t382)) (= @t381 @t380)))) % 0.40/0.88 (assume @p219 (forall @t37 (or @t113 (not (tptp.c_HOL_Oord__class_Oless @t112 @t44 @t10))))) % 0.40/0.88 (assume @p220 (forall @t204 (or @t385 @t384 @t174))) % 0.40/0.88 (assume @p221 (forall @t200 (or @t383 (not @t385) @t174))) % 0.40/0.88 (assume @p222 (forall @t202 (or @t386 @t384 @t194))) % 0.40/0.88 (assume @p223 (forall @t200 (or @t383 (not @t386) @t194))) % 0.40/0.88 (assume @p224 (forall @t324 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t388) @t57 tptp.tc_nat) @t387))) % 0.40/0.88 (assume @p225 (forall @t27 (or @t20 @t231 @t229 (not @t389)))) % 0.40/0.88 (assume @p226 (forall (@list @t10 @t390 @t15 @t12 @t11) (or @t141 @t140 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t390 @t15 @t10) @t263 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t390 @t11 @t10) @t262 @t10))) @t392 @t391))) % 0.40/0.88 (assume @p227 (forall @t211 (or @t141 @t140 (not (= (tptp.c_HOL_Oplus__class_Oplus @t144 @t209 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t28 @t85 @t10) @t143 @t10))) @t394 @t393))) % 0.40/0.88 (assume @p228 (forall (@list @t28 @t47 @t31 @t85) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t28 @t47 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t31 @t85 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t28 @t85 tptp.tc_nat) @t395 tptp.tc_nat))) @t394 @t393))) % 0.40/0.88 (assume @p229 (forall (@list @t390 @t15 @t12 @t11) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t390 @t15 tptp.tc_nat) @t257 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t390 @t11 tptp.tc_nat) @t256 tptp.tc_nat))) @t392 @t391))) % 0.40/0.88 (assume @p230 (forall @t120 (or @t290 @t398 @t366 @t397))) % 0.40/0.88 (assume @p231 (forall @t120 (or @t290 @t398 @t400 @t359))) % 0.40/0.88 (assume @p232 (forall @t63 (or (not (= @t58 @t130)) @t295 @t401))) % 0.40/0.88 (assume @p233 (forall @t288 (or @t113 (tptp.c_lessequals @t403 @t44 @t10)))) % 0.40/0.88 (assume @p234 (forall @t357 (or @t114 @t356 @t355 (= @t164 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t354 @t353 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p235 (forall @t9 (or (= @t405 @t404) @t3))) % 0.40/0.88 (assume @p236 (forall @t375 (or (= @t408 @t406) @t3))) % 0.40/0.88 (assume @p237 (= (tptp.c_HOL_Otimes__class_Otimes @t128 @t128 tptp.tc_nat) @t128)) % 0.40/0.88 (assume @p238 (forall @t417 (or @t117 (= @t416 (tptp.c_HOL_Otimes__class_Otimes @t413 (tptp.c_HOL_Otimes__class_Otimes @t410 @t409 @t10) @t10))))) % 0.40/0.88 (assume @p239 (forall @t417 (or @t117 (= @t416 (tptp.c_HOL_Otimes__class_Otimes @t412 (tptp.c_HOL_Otimes__class_Otimes @t410 @t414 @t10) @t10))))) % 0.40/0.88 (assume @p240 (forall @t417 (or @t117 (= @t416 (tptp.c_HOL_Otimes__class_Otimes @t411 (tptp.c_HOL_Otimes__class_Otimes @t415 @t409 @t10) @t10))))) % 0.40/0.88 (assume @p241 (forall @t288 (or @t378 (tptp.c_lessequals @t44 @t237 @t10)))) % 0.40/0.88 (assume @p242 (forall @t115 (or @t117 @t418))) % 0.40/0.88 (assume @p243 (forall @t115 (or @t117 @t419))) % 0.40/0.88 (assume @p244 (forall @t115 (or @t351 @t419))) % 0.40/0.88 (assume @p245 (forall (@list @t10 @t31) (or @t351 (= (tptp.c_HOL_Otimes__class_Otimes @t44 @t31 @t10) @t44)))) % 0.40/0.88 (assume @p246 (forall @t115 (or @t420 @t419))) % 0.40/0.88 (assume @p247 (forall @t115 (or @t420 @t418))) % 0.40/0.88 (assume @p248 (forall @t84 (= @t421 @t127))) % 0.40/0.88 (assume @p249 (forall @t160 (= @t422 @t127))) % 0.40/0.88 (assume @p250 (forall @t158 (or @t117 (= (tptp.c_HOL_Otimes__class_Otimes @t44 @t12 @t10) @t44)))) % 0.40/0.88 (assume @p251 (forall (@list @t10 @t28 @t58) (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t425 @t58 @t10) @t424)))) % 0.40/0.88 (assume @p252 (forall (@list @t10 @t58 @t28) (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t425 @t10) @t424)))) % 0.40/0.88 (assume @p253 (forall @t9 (or (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t7 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t5 @t1 tptp.tc_nat)) @t3))) % 0.40/0.88 (assume @p254 (forall @t160 (= (tptp.c_Divides_Odiv__class_Omod @t58 @t128 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p255 (forall @t63 (or (= @t122 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t296 @t57 tptp.tc_nat))) @t295))) % 0.40/0.88 (assume @p256 (forall (@list @t1 @t57 @t2) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t1 @t57 tptp.tc_nat) @t2 tptp.tc_nat) @t426))) % 0.40/0.88 (assume @p257 (forall @t115 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t28 @t237 @t10) @t44)))) % 0.40/0.88 (assume @p258 (forall @t63 (or (= @t135 @t58) @t60))) % 0.40/0.88 (assume @p259 (= @t128 @t248)) % 0.40/0.88 (assume @p260 (forall @t37 (or @t299 @t297 @t22 @t221))) % 0.40/0.88 (assume @p261 (forall @t284 (not @t427))) % 0.40/0.88 (assume @p262 (forall @t84 (not (tptp.c_HOL_Oord__class_Oless @t57 @t57 tptp.tc_nat)))) % 0.40/0.88 (assume @p263 (forall @t37 (or @t20 (not @t333) @t187))) % 0.40/0.88 (assume @p264 (forall @t37 (or @t20 (= @t41 @t15) @t23))) % 0.40/0.88 (assume @p265 (forall @t21 (or @t228 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t11 @t10) (tptp.c_Orderings_Oord__class_Omax @t227 @t226 @t10))))) % 0.40/0.88 (assume @p266 (forall @t63 (or (tptp.c_HOL_Oord__class_Oless @t135 @t57 tptp.tc_nat) @t134))) % 0.40/0.88 (assume @p267 (forall @t37 (or @t20 @t297 @t22))) % 0.40/0.88 (assume @p268 (forall @t158 (or @t20 (not @t430) @t429))) % 0.40/0.88 (assume @p269 (forall @t158 (or @t20 @t428 @t430))) % 0.40/0.88 (assume @p270 (forall @t37 (or @t20 @t298 @t23))) % 0.40/0.88 (assume @p271 (forall @t38 (or @t20 @t22 @t297))) % 0.40/0.88 (assume @p272 (forall @t37 (or @t20 @t221 @t301))) % 0.40/0.88 (assume @p273 (forall @t38 (or @t20 @t300 @t187))) % 0.40/0.88 (assume @p274 (forall @t38 (or @t299 @t23 @t298))) % 0.40/0.88 (assume @p275 (forall @t149 (or @t114 (= @t292 @t431)))) % 0.40/0.88 (assume @p276 (forall @t149 (or @t114 (= @t292 @t432)))) % 0.40/0.88 (assume @p277 (forall @t21 (or @t20 (= (tptp.c_Orderings_Oord__class_Omin @t41 @t11 @t10) @t433)))) % 0.40/0.88 (assume @p278 (forall @t21 (or @t20 (= @t433 (tptp.c_Orderings_Oord__class_Omin @t15 @t40 @t10))))) % 0.40/0.88 (assume @p279 (forall @t63 (or @t434 @t401))) % 0.40/0.88 (assume @p280 (forall @t63 (or @t434 @t435))) % 0.40/0.88 (assume @p281 (= @t128 @t436)) % 0.40/0.88 (assume @p282 (forall @t53 (or @t52 @t51 @t243 @t437 @t46))) % 0.40/0.88 (assume @p283 (forall @t138 (or (tptp.c_lessequals @t137 @t136 tptp.tc_nat) @t223))) % 0.40/0.88 (assume @p284 (forall (@list @t58 @t123 @t57) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t58 @t123 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t57 @t123 tptp.tc_nat) tptp.tc_nat) @t223))) % 0.40/0.88 (assume @p285 (forall @t182 (or @t442 @t223 @t439 @t438))) % 0.40/0.88 (assume @p286 (forall @t247 (or @t222 (not @t442) @t439 @t438))) % 0.40/0.88 (assume @p287 (forall @t68 (= (tptp.c_HOL_Ominus__class_Ominus @t57 @t121 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p288 (forall @t9 (= @t444 (tptp.c_HOL_Ominus__class_Ominus @t4 @t443 tptp.tc_nat)))) % 0.40/0.88 (assume @p289 (forall (@list @t10 @t445 @t15 @t12) (or @t157 (not (= (tptp.c_HOL_Ominus__class_Ominus @t445 @t15 @t10) @t155)) (= @t445 @t15)))) % 0.40/0.88 (assume @p290 (forall (@list @t10 @t12 @t447 @t446) (or @t157 (not (= @t155 @t448)) (= @t447 @t446)))) % 0.40/0.88 (assume @p291 (forall @t182 (or (not (= @t441 @t440)) @t439 @t438 @t176))) % 0.40/0.88 (assume @p292 (forall @t288 (or @t379 (not (= @t44 @t237))))) % 0.40/0.88 (assume @p293 (forall @t37 (or @t20 (= (tptp.c_Orderings_Oord__class_Omin @t12 @t18 @t10) @t12)))) % 0.40/0.88 (assume @p294 (forall @t179 (or @t178 @t245 @t176))) % 0.40/0.88 (assume @p295 (forall @t63 (or @t363 @t132 @t142))) % 0.40/0.88 (assume @p296 (forall @t63 (or @t363 @t295 @t129))) % 0.40/0.88 (assume @p297 (forall @t179 (or @t244 @t450))) % 0.40/0.88 (assume @p298 (forall @t179 (or @t244 @t452))) % 0.40/0.88 (assume @p299 (forall @t247 (or @t222 @t245 (not @t269)))) % 0.40/0.88 (assume @p300 (forall @t247 (or @t222 @t245 @t453))) % 0.40/0.88 (assume @p301 (forall @t247 (or @t222 @t453 @t245))) % 0.40/0.88 (assume @p302 (forall @t179 (or @t270 @t223 @t245))) % 0.40/0.88 (assume @p303 (forall @t53 (or @t113 @t55 @t457 @t455))) % 0.40/0.88 (assume @p304 (forall @t458 (or @t113 @t456 @t56 @t455))) % 0.40/0.88 (assume @p305 (forall @t149 (or @t113 @t274 @t457 @t460))) % 0.40/0.88 (assume @p306 (forall @t458 (or @t113 @t456 @t275 @t460))) % 0.40/0.88 (assume @p307 (forall @t149 (or @t148 @t274 @t460 @t457))) % 0.40/0.88 (assume @p308 (forall @t149 (or @t148 @t274 @t460 (not @t461)))) % 0.40/0.88 (assume @p309 (forall @t63 (or (tptp.c_HOL_Oord__class_Oless @t128 @t130 tptp.tc_nat) @t463 @t462))) % 0.40/0.88 (assume @p310 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t127 @t57 tptp.tc_nat) @t127))) % 0.40/0.88 (assume @p311 (forall @t182 (= (tptp.c_HOL_Ominus__class_Ominus @t321 @t246 tptp.tc_nat) @t105))) % 0.40/0.88 (assume @p312 (forall @t179 (= (tptp.c_HOL_Ominus__class_Ominus @t234 @t125 tptp.tc_nat) @t105))) % 0.40/0.88 (assume @p313 (forall @t84 (tptp.c_HOL_Oord__class_Oless @t127 @t66 tptp.tc_nat))) % 0.40/0.88 (assume @p314 (forall @t284 (tptp.c_HOL_Oord__class_Oless @t127 @t281 tptp.tc_nat))) % 0.40/0.88 (assume @p315 (forall @t220 (or @t20 @t464 (not (tptp.c_HOL_Oord__class_Oless @t12 @t28 @t10))))) % 0.40/0.88 (assume @p316 (forall @t220 (or @t20 @t464 (not (tptp.c_HOL_Oord__class_Oless @t12 @t31 @t10))))) % 0.40/0.88 (assume @p317 (forall @t255 (or @t20 @t377 @t251))) % 0.40/0.88 (assume @p318 (forall @t255 (or @t20 @t377 @t253))) % 0.40/0.88 (assume @p319 (forall @t186 (or @t20 @t229 @t465))) % 0.40/0.88 (assume @p320 (forall @t27 (or @t20 @t231 @t465))) % 0.40/0.88 (assume @p321 (forall @t37 (or @t20 (= @t41 @t39)))) % 0.40/0.88 (assume @p322 (forall (@list @t4 @t168 @t1 @t2) (= (tptp.c_HOL_Oplus__class_Oplus @t172 (tptp.c_HOL_Oplus__class_Oplus @t171 @t2 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t75 @t168 tptp.tc_nat) @t2 tptp.tc_nat)))) % 0.40/0.88 (assume @p323 (forall (@list @t10 @t28 @t86 @t31 @t47) (or (not (tptp.class_Ring__and__Field_Osemiring @t10)) (= (tptp.c_HOL_Oplus__class_Oplus @t91 (tptp.c_HOL_Oplus__class_Oplus @t89 @t47 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t119 @t86 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p324 (forall @t471 (or (= @t470 (tptp.c_Lambda_Osubst @t469 @t468 @t466)) @t467))) % 0.40/0.88 (assume @p325 (forall @t63 (tptp.c_lessequals @t105 @t58 tptp.tc_nat))) % 0.40/0.88 (assume @p326 (forall @t68 (or @t133 @t472))) % 0.40/0.88 (assume @p327 (forall @t63 (or @t316 @t472))) % 0.40/0.88 (assume @p328 (forall @t120 (or @t290 @t398 @t366 @t359))) % 0.40/0.88 (assume @p329 (forall @t37 (or @t141 @t140 (not (= @t474 @t44)) @t473))) % 0.40/0.88 (assume @p330 (forall @t120 (or @t159 @t475 @t393))) % 0.40/0.88 (assume @p331 (forall @t120 (or @t157 @t475 @t393))) % 0.40/0.88 (assume @p332 (forall @t37 (or @t113 @t341 @t476))) % 0.40/0.88 (assume @p333 (forall @t38 (or @t113 @t337 @t476))) % 0.40/0.88 (assume @p334 (forall @t179 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t105 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t102 @t177 tptp.tc_nat)))) % 0.40/0.88 (assume @p335 (forall @t247 (= (tptp.c_HOL_Otimes__class_Otimes @t105 @t2 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t181 @t180 tptp.tc_nat)))) % 0.40/0.88 (assume @p336 (forall @t36 (or @t20 @t477 (not (tptp.c_HOL_Oord__class_Oless @t28 @t12 @t10))))) % 0.40/0.88 (assume @p337 (forall @t36 (or @t20 @t477 (not (tptp.c_HOL_Oord__class_Oless @t31 @t12 @t10))))) % 0.40/0.88 (assume @p338 (forall @t255 (or @t20 @t250 @t478))) % 0.40/0.88 (assume @p339 (forall @t167 (or @t20 @t252 @t478))) % 0.40/0.88 (assume @p340 (forall @t21 (or @t20 @t389 @t230))) % 0.40/0.88 (assume @p341 (forall @t21 (or @t20 @t389 @t232))) % 0.40/0.88 (assume @p342 (forall @t182 (or (= (tptp.c_HOL_Ominus__class_Ominus @t441 @t440 tptp.tc_nat) @t105) @t439 @t438))) % 0.40/0.88 (assume @p343 (forall @t9 (= @t444 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t4 @t2 tptp.tc_nat) @t1 tptp.tc_nat)))) % 0.40/0.88 (assume @p344 (forall @t84 (tptp.c_lessequals @t127 @t57 tptp.tc_nat))) % 0.40/0.88 (assume @p345 (forall @t120 (or @t290 @t479 @t208 @t46))) % 0.40/0.88 (assume @p346 (forall @t120 (or @t290 @t479 @t294 @t242))) % 0.40/0.88 (assume @p347 (forall (@list @t28 @t47 @t31) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t28 @t47 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t31 @t47 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t47 @t28 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t28 @t31 tptp.tc_nat))))) % 0.40/0.88 (assume @p348 (forall @t120 (or @t113 @t480 @t400 @t46))) % 0.40/0.88 (assume @p349 (forall @t120 (or @t113 @t480 @t294 @t397))) % 0.40/0.88 (assume @p350 (forall @t120 (or @t481 @t480 @t400 @t46))) % 0.40/0.88 (assume @p351 (forall @t120 (or @t481 @t480 @t294 @t397))) % 0.40/0.88 (assume @p352 (forall @t364 (or @t481 (tptp.c_lessequals @t291 @t44 @t10) @t400 @t46))) % 0.40/0.88 (assume @p353 (forall @t115 (or @t113 (not (tptp.c_HOL_Oord__class_Oless @t482 @t44 @t10))))) % 0.40/0.88 (assume @p354 (forall @t179 (or @t486 @t60))) % 0.40/0.88 (assume @p355 (forall @t247 (or @t59 (not @t486)))) % 0.40/0.88 (assume @p356 (forall @t74 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t15 tptp.tc_nat) @t307)) @t392))) % 0.40/0.88 (assume @p357 (forall @t182 (or (not (= @t321 @t246)) @t176))) % 0.40/0.88 (assume @p358 (forall @t179 (or (not (= @t234 @t125)) @t176))) % 0.40/0.88 (assume @p359 (forall @t21 (or @t141 @t140 (not (= @t126 @t306)) @t392))) % 0.40/0.88 (assume @p360 (forall @t149 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t10)) @t488 @t487))) % 0.40/0.88 (assume @p361 (forall @t158 (or @t302 @t429))) % 0.40/0.88 (assume @p362 (forall @t158 (or @t20 @t429))) % 0.40/0.88 (assume @p363 (forall @t158 (or @t299 @t429))) % 0.40/0.88 (assume @p364 (forall @t332 (or (not (tptp.c_lessequals @t4 @t489 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t489 @t4 tptp.tc_nat) @t2)))) % 0.40/0.88 (assume @p365 (forall @t158 (or @t20 (= (tptp.c_Orderings_Oord__class_Omin @t12 @t12 @t10) @t12)))) % 0.40/0.88 (assume @p366 (forall @t84 (or @t142 (not (tptp.c_lessequals @t57 @t127 tptp.tc_nat))))) % 0.40/0.88 (assume @p367 (forall @t491 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t490 @t108) (tptp.c_Lambda_Osubst @t110 @t108 @t127)))) % 0.40/0.88 (assume @p368 (forall @t120 (or @t290 @t479 @t208 @t242))) % 0.40/0.88 (assume @p369 (forall @t68 (tptp.c_lessequals @t57 @t121 tptp.tc_nat))) % 0.40/0.88 (assume @p370 (forall @t68 (tptp.c_lessequals @t57 @t122 tptp.tc_nat))) % 0.40/0.88 (assume @p371 (forall @t190 (tptp.c_lessequals @t58 @t189 tptp.tc_nat))) % 0.40/0.88 (assume @p372 (forall @t68 (= (tptp.c_HOL_Oplus__class_Oplus @t492 @t58 tptp.tc_nat) (tptp.c_Orderings_Oord__class_Omax @t57 @t58 tptp.tc_nat)))) % 0.40/0.88 (assume @p373 (forall @t288 (or @t378 (not (tptp.c_lessequals @t237 @t44 @t10))))) % 0.40/0.88 (assume @p374 (forall @t38 (or @t362 @t300 @t297 @t473))) % 0.40/0.88 (assume @p375 (forall @t37 (or @t20 @t473 @t300 @t297))) % 0.40/0.88 (assume @p376 (forall @t63 (or @t176 @t104 @t223))) % 0.40/0.88 (assume @p377 (forall @t68 (or @t65 @t59 @t176))) % 0.40/0.88 (assume @p378 (forall @t68 (or (not (= @t492 @t127)) @t225 @t176))) % 0.40/0.88 (assume @p379 (forall (@list @t15 @t12) (or (tptp.c_HOL_Oord__class_Oless @t15 @t12 tptp.tc_nat) @t70 @t473))) % 0.40/0.88 (assume @p380 (forall @t37 (or @t302 @t473 @t23 @t221))) % 0.40/0.88 (assume @p381 (forall @t38 (or @t20 @t300 @t297 @t473))) % 0.40/0.88 (assume @p382 (forall @t37 (or @t302 @t473 @t221 @t23))) % 0.40/0.88 (assume @p383 (forall @t38 (or @t20 @t300 @t473 @t297))) % 0.40/0.88 (assume @p384 (forall @t37 (or @t20 @t473 @t297 @t300))) % 0.40/0.88 (assume @p385 (forall @t357 (or @t328 @t356 @t355 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t354 @t353 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p386 (forall @t120 (or @t228 @t274 (not @t493)))) % 0.40/0.88 (assume @p387 (forall @t120 (or @t228 @t493 @t275))) % 0.40/0.88 (assume @p388 (forall @t84 (or (= @t494 @t57) @t134))) % 0.40/0.88 (assume @p389 (forall @t84 (or (= @t57 @t494) @t134))) % 0.40/0.88 (assume @p390 (forall @t158 (or @t20 (= (tptp.c_Orderings_Oord__class_Omax @t12 @t12 @t10) @t12)))) % 0.40/0.88 (assume @p391 (forall @t502 (or @t501 (= @t496 @t495)))) % 0.40/0.88 (assume @p392 (forall @t502 (or @t501 (= @t499 @t497)))) % 0.40/0.88 (assume @p393 (forall @t211 (or @t504 @t503 @t206 @t205))) % 0.40/0.88 (assume @p394 (forall @t273 (or (tptp.c_HOL_Oord__class_Oless @t5 @t272 tptp.tc_nat) @t124 @t78))) % 0.40/0.88 (assume @p395 (forall @t505 (or @t326 @t71))) % 0.40/0.88 (assume @p396 (forall @t63 (or @t222 @t60))) % 0.40/0.88 (assume @p397 (forall @t37 (or @t302 @t187 @t298))) % 0.40/0.88 (assume @p398 (forall @t37 (or @t299 @t187 @t298))) % 0.40/0.88 (assume @p399 (forall (@list @t58 @t1 @t2) (or (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t236 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t321 @t235 tptp.tc_nat)) @t3))) % 0.40/0.88 (assume @p400 (forall @t120 (or @t228 @t147 (not @t506)))) % 0.40/0.88 (assume @p401 (forall @t120 (or @t228 @t506 @t205))) % 0.40/0.88 (assume @p402 (forall @t213 (or @t52 @t507 @t275))) % 0.40/0.88 (assume @p403 (forall @t149 (or @t52 @t274 (not @t507)))) % 0.40/0.88 (assume @p404 (forall @t458 (or @t52 @t509 @t275))) % 0.40/0.88 (assume @p405 (forall @t149 (or @t52 @t274 (not @t509)))) % 0.40/0.88 (assume @p406 (forall @t213 (or @t278 @t507 @t275))) % 0.40/0.88 (assume @p407 (forall @t458 (or @t278 @t509 @t275))) % 0.40/0.88 (assume @p408 (forall @t77 (or (tptp.c_lessequals @t5 @t443 tptp.tc_nat) @t194))) % 0.40/0.88 (assume @p409 (forall @t247 (or @t222 (not @t510)))) % 0.40/0.88 (assume @p410 (forall @t179 (or @t510 @t223))) % 0.40/0.88 (assume @p411 (forall @t288 (or @t378 (tptp.c_HOL_Oord__class_Oless @t44 @t237 @t10)))) % 0.40/0.88 (assume @p412 (forall @t511 (or @t194 (= @t1 (tptp.c_HOL_Oplus__class_Oplus @t195 @t4 tptp.tc_nat))))) % 0.40/0.88 (assume @p413 (forall @t68 (or @t512 @t104))) % 0.40/0.88 (assume @p414 (forall @t63 (or (= (tptp.c_HOL_Oplus__class_Oplus @t105 @t57 tptp.tc_nat) @t58) @t104))) % 0.40/0.88 (assume @p415 (forall @t247 (or @t59 @t452))) % 0.40/0.88 (assume @p416 (forall @t247 (or @t59 @t450))) % 0.40/0.88 (assume @p417 (forall @t115 (or @t378 (tptp.c_HOL_Oord__class_Oless @t28 @t423 @t10)))) % 0.40/0.88 (assume @p418 (forall @t9 (or (= @t404 @t405) @t3))) % 0.40/0.88 (assume @p419 (forall @t376 (or (= @t406 @t408) @t3))) % 0.40/0.88 (assume @p420 (forall @t37 (or @t513 (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t262 @t10) @t262)))) % 0.40/0.88 (assume @p421 (forall (@list @t12 @t57 @t445 @t15 @t514) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t57 @t445 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t15 (tptp.c_HOL_Otimes__class_Otimes @t57 @t514 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t12 @t57 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t15 @t57 tptp.tc_nat))))) % 0.40/0.88 (assume @p422 (forall @t211 (or @t148 @t210 @t460 @t46 @t276 @t205))) % 0.40/0.88 (assume @p423 (forall @t211 (or @t148 @t210 @t54 @t242 @t206 @t275))) % 0.40/0.88 (assume @p424 (forall @t84 (or @t133 @t142))) % 0.40/0.88 (assume @p425 (not (tptp.c_HOL_Oord__class_Oless @t127 @t127 tptp.tc_nat))) % 0.40/0.88 (assume @p426 (forall @t120 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t119 @t31 @t10) @t249)))) % 0.40/0.88 (assume @p427 (forall @t364 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t118 @t31 @t10) @t249)))) % 0.40/0.88 (assume @p428 (forall @t364 (or @t113 @t293 @t399 @t515))) % 0.40/0.88 (assume @p429 (forall @t120 (or @t113 @t396 @t399 @t515))) % 0.40/0.88 (assume @p430 (forall @t364 (or @t113 @t293 @t45 @t515))) % 0.40/0.88 (assume @p431 (forall @t120 (or @t113 @t396 @t45 @t515))) % 0.40/0.88 (assume @p432 (forall @t364 (or @t148 (tptp.c_HOL_Oord__class_Oless @t291 @t44 @t10) @t366 @t242))) % 0.40/0.88 (assume @p433 (forall @t120 (or @t148 @t516 @t366 @t242))) % 0.40/0.88 (assume @p434 (forall @t120 (or @t148 @t516 @t208 @t359))) % 0.40/0.88 (assume @p435 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t57 @t130 tptp.tc_nat) @t463 @t462))) % 0.40/0.88 (assume @p436 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t57 @t286 tptp.tc_nat) @t463 @t462))) % 0.40/0.88 (assume @p437 (forall @t247 (or @t59 (not @t517) @t439 @t438))) % 0.40/0.88 (assume @p438 (forall @t182 (or @t517 @t60 @t439 @t438))) % 0.40/0.88 (assume @p439 (forall @t53 (or @t378 @t243 @t437 @t242))) % 0.40/0.88 (assume @p440 (forall @t115 (or @t267 @t518 @t397))) % 0.40/0.88 (assume @p441 (forall @t115 (or @t267 @t396 (not @t518)))) % 0.40/0.88 (assume @p442 (forall @t63 (= (tptp.c_HOL_Otimes__class_Otimes @t127 @t58 tptp.tc_nat) @t421))) % 0.40/0.88 (assume @p443 (forall @t63 (= @t422 (tptp.c_HOL_Otimes__class_Otimes @t57 @t127 tptp.tc_nat)))) % 0.40/0.88 (assume @p444 (forall @t511 (not (tptp.c_HOL_Oord__class_Oless @t75 @t4 tptp.tc_nat)))) % 0.40/0.88 (assume @p445 (forall (@list @t1 @t4) (not (tptp.c_HOL_Oord__class_Oless @t407 @t4 tptp.tc_nat)))) % 0.40/0.88 (assume @p446 (forall (@list @t31 @t520 @t47 @t519) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t31 (tptp.c_Divides_Odiv__class_Omod @t520 @t47 tptp.tc_nat) tptp.tc_nat) @t519 tptp.tc_nat) @t395 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t519 @t31 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t127 @t47 tptp.tc_nat))))) % 0.40/0.88 (assume @p447 (forall @t213 (or @t94 @t461 @t521 @t56))) % 0.40/0.88 (assume @p448 (forall @t458 (or @t94 @t456 @t521 @t56))) % 0.40/0.88 (assume @p449 (forall @t213 (or @t522 @t461 @t54 @t275))) % 0.40/0.88 (assume @p450 (forall @t458 (or @t522 @t456 @t54 @t275))) % 0.40/0.88 (assume @p451 (forall @t458 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t10)) @t456 @t54 @t275))) % 0.40/0.88 (assume @p452 (forall @t63 (or @t347 @t59))) % 0.40/0.88 (assume @p453 (forall (@list @t10 @t12 @t519 @t47 @t85) (or @t141 @t140 (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t519 @t47 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t519 @t85 @t10) @t10))) @t394 (= @t519 @t44)))) % 0.40/0.88 (assume @p454 (forall (@list @t12 @t519 @t47 @t85) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t519 @t47 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t519 @t85 tptp.tc_nat) tptp.tc_nat))) @t394 (= @t519 @t127)))) % 0.40/0.88 (assume @p455 (forall @t37 (or @t113 @t523 @t337))) % 0.40/0.88 (assume @p456 (forall @t37 (or @t113 @t523 @t341))) % 0.40/0.88 (assume @p457 (tptp.c_lessequals @t127 @t127 tptp.tc_nat)) % 0.40/0.88 (assume @p458 (forall @t77 (or @t525 (not @t524)))) % 0.40/0.88 (assume @p459 (forall @t9 (or @t524 (not @t525)))) % 0.40/0.88 (assume @p460 (forall @t149 (or @t526 @t488 @t487))) % 0.40/0.88 (assume @p461 (forall @t53 (or @t526 (not (= @t118 @t116)) @t487))) % 0.40/0.88 (assume @p462 (forall (@list @t108 @t110 @t2) (= (tptp.c_Lambda_Osubst @t528 @t110 @t2) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t108 (tptp.c_Lambda_Olift @t110 @t127) @t527))))) % 0.40/0.88 (assume @p463 (forall @t63 (tptp.c_lessequals @t135 @t58 tptp.tc_nat))) % 0.40/0.88 (assume @p464 (forall @t21 (or @t52 (= (tptp.c_HOL_Oplus__class_Oplus @t41 @t11 @t10) (tptp.c_Orderings_Oord__class_Omin @t306 @t304 @t10))))) % 0.40/0.88 (assume @p465 (forall @t247 (or (tptp.c_lessequals @t58 (tptp.c_HOL_Ominus__class_Ominus @t121 @t2 tptp.tc_nat) tptp.tc_nat) @t439))) % 0.40/0.88 (assume @p466 (forall @t37 (or @t362 (tptp.c_lessequals @t262 @t12 @t10) @t529 @t339 @t338))) % 0.40/0.88 (assume @p467 (forall @t38 (or @t362 (tptp.c_lessequals @t285 @t12 @t10) @t529 @t339 @t338))) % 0.40/0.88 (assume @p468 (forall @t149 (or @t328 (= @t327 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t162 @t161 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p469 (forall @t63 (or (not @t531) (= @t387 @t127)))) % 0.40/0.88 (assume @p470 (forall (@list @t108 @t532 @t4 @t1 @t168) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t108 (tptp.c_Lambda_Olift @t532 @t4) @t235) (tptp.c_Lambda_Osubst @t168 @t532 @t1) @t4) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t108 @t168 @t4) @t532 @t1)) @t467))) % 0.40/0.88 (assume @p471 (forall @t149 (or @t114 (= @t164 @t212)))) % 0.40/0.88 (assume @p472 (forall @t149 (or @t114 (= @t164 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t28 @t161 @t10) @t47 @t10))))) % 0.40/0.88 (assume @p473 (forall @t63 (or @t533 @t132 @t142))) % 0.40/0.88 (assume @p474 (forall @t63 (or @t533 @t295 @t129))) % 0.40/0.88 (assume @p475 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t66 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t296 @t57 tptp.tc_nat)))) % 0.40/0.88 (assume @p476 (forall @t179 (or @t534 @t223))) % 0.40/0.88 (assume @p477 (forall @t247 (or @t222 (not @t534)))) % 0.40/0.88 (assume @p478 (forall @t37 (or @t113 @t535 @t341))) % 0.40/0.88 (assume @p479 (forall @t37 (or @t113 @t535 @t337))) % 0.40/0.88 (assume @p480 (forall (@list @t10 @t28 @t31 @t47 @t85) (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t119 @t312 @t10) (tptp.c_HOL_Oplus__class_Oplus @t49 @t277 @t10))))) % 0.40/0.88 (assume @p481 (forall (@list @t168 @t110 @t108) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t168 @t110) (tptp.c_Lambda_OdB_OApp @t168 @t108)) @t536))) % 0.40/0.88 (assume @p482 (forall (@list @t110 @t168 @t108) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t110 @t168) @t537) @t536))) % 0.40/0.88 (assume @p483 (forall @t37 (or @t20 (= @t18 @t538)))) % 0.40/0.88 (assume @p484 (forall @t21 (or @t20 (tptp.c_lessequals @t42 @t43 @t10)))) % 0.40/0.88 (assume @p485 (forall @t84 (= (tptp.c_Orderings_Oord__class_Omax @t57 @t127 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p486 (forall @t84 (= (tptp.c_Orderings_Oord__class_Omax @t127 @t57 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p487 (forall @t37 (or @t20 (= (tptp.c_Orderings_Oord__class_Omax @t12 @t41 @t10) @t12)))) % 0.40/0.88 (assume @p488 (forall @t160 (tptp.c_lessequals @t58 @t539 tptp.tc_nat))) % 0.40/0.88 (assume @p489 (forall @t458 (or @t113 @t454 @t459 @t153))) % 0.40/0.88 (assume @p490 (forall @t53 (or @t113 @t540 @t147 @t153))) % 0.40/0.88 (assume @p491 (forall @t458 (or @t113 @t454 @t459 @t146))) % 0.40/0.88 (assume @p492 (forall @t53 (or @t113 @t540 @t147 @t146))) % 0.40/0.88 (assume @p493 (forall @t542 (or (= (tptp.c_HOL_Ominus__class_Ominus @t57 @t541 tptp.tc_nat) @t4) (not (tptp.c_lessequals @t4 @t57 tptp.tc_nat))))) % 0.40/0.88 (assume @p494 (= @t107 @t83)) % 0.40/0.88 (assume @p495 (forall @t332 (or (= @t331 @t330) (not @t76)))) % 0.40/0.88 (assume @p496 (forall (@list @t519 @t4 @t110) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t519 @t4) @t468) @t543))) % 0.40/0.88 (assume @p497 (forall @t471 (or (= @t470 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t108 @t329) @t468 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t1 @t329 tptp.tc_nat))))) % 0.40/0.88 (assume @p498 (forall (@list @t108 @t4 @t2) (or (= (tptp.c_Lambda_Olift @t469 @t483) (tptp.c_Lambda_Olift @t109 @t4)) (not (tptp.c_HOL_Oord__class_Oless @t4 @t527 tptp.tc_nat))))) % 0.40/0.88 (assume @p499 (forall @t179 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t135 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t102 @t177 tptp.tc_nat)))) % 0.40/0.88 (assume @p500 (forall @t247 (= (tptp.c_HOL_Otimes__class_Otimes @t135 @t2 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t181 @t180 tptp.tc_nat)))) % 0.40/0.88 (assume @p501 (forall @t182 (or @t449 @t60 @t245))) % 0.40/0.88 (assume @p502 (forall @t179 (or @t451 @t60 @t245))) % 0.40/0.88 (assume @p503 (forall @t546 (or (tptp.c_HOL_Oord__class_Oless @t545 @t544 tptp.tc_nat) @t245 @t78))) % 0.40/0.88 (assume @p504 (forall @t77 (or (tptp.c_HOL_Oord__class_Oless @t548 @t547 tptp.tc_nat) @t245 @t78))) % 0.40/0.88 (assume @p505 (forall @t247 (or @t59 @t452 @t245))) % 0.40/0.88 (assume @p506 (forall @t53 (or @t113 @t540 @t153 @t455))) % 0.40/0.88 (assume @p507 (forall @t458 (or @t113 @t152 @t549 @t455))) % 0.40/0.88 (assume @p508 (forall @t149 (or @t113 @t147 @t153 @t460))) % 0.40/0.88 (assume @p509 (forall @t458 (or @t113 @t152 @t205 @t460))) % 0.40/0.88 (assume @p510 (forall @t458 (or @t113 @t152 @t455 @t549))) % 0.40/0.88 (assume @p511 (forall @t458 (or @t148 @t152 @t460 @t205))) % 0.40/0.88 (assume @p512 (forall @t213 (or @t113 @t145 @t455 @t549))) % 0.40/0.88 (assume @p513 (forall @t213 (or @t148 @t145 @t460 @t205))) % 0.40/0.88 (assume @p514 (forall @t213 (or @t113 @t145 @t205 @t460))) % 0.40/0.88 (assume @p515 (forall @t213 (or @t113 @t145 @t549 @t455))) % 0.40/0.88 (assume @p516 (forall @t458 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t10)) @t152 @t460 @t205))) % 0.40/0.88 (assume @p517 (forall @t21 (or @t52 (= (tptp.c_HOL_Oplus__class_Oplus @t18 @t11 @t10) (tptp.c_Orderings_Oord__class_Omax @t306 @t304 @t10))))) % 0.40/0.88 (assume @p518 (forall @t273 (or (tptp.c_lessequals @t548 (tptp.c_HOL_Otimes__class_Otimes @t1 @t123 tptp.tc_nat) tptp.tc_nat) @t271 @t194))) % 0.40/0.88 (assume @p519 (forall @t160 (tptp.c_lessequals @t58 (tptp.c_HOL_Otimes__class_Otimes @t58 @t539 tptp.tc_nat) tptp.tc_nat))) % 0.40/0.88 (assume @p520 (forall @t211 (or @t551 @t550 @t54 @t294 @t276 @t275))) % 0.40/0.88 (assume @p521 (forall @t211 (or @t551 @t550 @t54 @t46 @t276 @t275))) % 0.40/0.88 (assume @p522 (forall @t21 (or @t20 (= (tptp.c_Orderings_Oord__class_Omax @t18 @t11 @t10) @t552)))) % 0.40/0.88 (assume @p523 (forall @t21 (or @t20 (= @t552 (tptp.c_Orderings_Oord__class_Omax @t15 @t553 @t10))))) % 0.40/0.88 (assume @p524 (forall @t288 (or @t378 (tptp.c_HOL_Oord__class_Oless @t44 @t336 @t10)))) % 0.40/0.88 (assume @p525 (forall @t324 (= (tptp.c_Divides_Odiv__class_Omod @t388 @t57 tptp.tc_nat) @t135))) % 0.40/0.88 (assume @p526 (forall @t213 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t28 @t150 @t10) @t31 @t10) @t249)))) % 0.40/0.88 (assume @p527 (forall @t149 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t28 @t143 @t10) @t31 @t10) @t249)))) % 0.40/0.88 (assume @p528 (forall (@list @t10 @t28 @t58 @t31) (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t425 (tptp.c_HOL_Otimes__class_Otimes @t31 @t58 @t10) @t10) (tptp.c_HOL_Otimes__class_Otimes @t119 @t58 @t10))))) % 0.40/0.88 (assume @p529 (forall @t158 (or @t117 (= (tptp.c_HOL_Oplus__class_Oplus @t44 @t12 @t10) @t12)))) % 0.40/0.88 (assume @p530 (forall @t115 (or @t51 @t554))) % 0.40/0.88 (assume @p531 (forall @t284 (= @t12 (tptp.c_HOL_Oplus__class_Oplus @t12 @t127 tptp.tc_nat)))) % 0.40/0.88 (assume @p532 (forall @t84 (= (tptp.c_HOL_Oplus__class_Oplus @t127 @t57 tptp.tc_nat) @t57))) % 0.40/0.88 (assume @p533 (forall @t160 (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t127 tptp.tc_nat) @t58))) % 0.40/0.88 (assume @p534 (forall @t158 (or @t141 @t140 (= @t12 (tptp.c_HOL_Oplus__class_Oplus @t12 @t44 @t10))))) % 0.40/0.88 (assume @p535 (forall @t115 (or @t51 @t555))) % 0.40/0.88 (assume @p536 (forall @t115 (or @t556 @t554))) % 0.40/0.88 (assume @p537 (forall @t115 (or @t556 @t555))) % 0.40/0.88 (assume @p538 (forall @t115 (or @t117 @t555))) % 0.40/0.88 (assume @p539 (forall @t115 (or @t117 @t554))) % 0.40/0.88 (assume @p540 (forall @t288 (or @t113 (not (tptp.c_HOL_Oord__class_Oless @t44 @t403 @t10))))) % 0.40/0.88 (assume @p541 (forall @t491 (or (tptp.c_Lambda_Obeta @t490 @t528) @t536))) % 0.40/0.88 (assume @p542 (forall @t37 (or @t20 (= (tptp.c_Orderings_Oord__class_Omax @t12 @t18 @t10) @t18)))) % 0.40/0.88 (assume @p543 (forall @t120 (or @t113 @t396 @t45 @t558))) % 0.40/0.88 (assume @p544 (forall @t364 (or @t113 @t399 @t45 @t558))) % 0.40/0.88 (assume @p545 (forall @t120 (or @t113 @t396 @t293 @t558))) % 0.40/0.88 (assume @p546 (forall @t364 (or @t113 @t399 @t293 @t558))) % 0.40/0.88 (assume @p547 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t122 @t57 tptp.tc_nat) @t58))) % 0.40/0.88 (assume @p548 (forall @t68 (= (tptp.c_HOL_Ominus__class_Ominus @t121 @t57 tptp.tc_nat) @t58))) % 0.40/0.88 (assume @p549 (forall @t120 (or @t159 (= (tptp.c_HOL_Ominus__class_Ominus @t119 @t31 @t10) @t28)))) % 0.40/0.88 (assume @p550 (forall (@list @t10 @t58 @t57) (or @t378 (tptp.c_HOL_Oord__class_Oless @t237 (tptp.c_HOL_Otimes__class_Otimes @t58 @t57 @t10) @t10) (not (tptp.c_HOL_Oord__class_Oless @t237 @t57 @t10)) (not (tptp.c_HOL_Oord__class_Oless @t237 @t58 @t10))))) % 0.40/0.88 (assume @p551 (forall @t211 (or @t504 @t503 @t206 @t275))) % 0.40/0.88 (assume @p552 (forall @t211 (or @t504 @t503 @t276 @t205))) % 0.40/0.88 (assume @p553 (forall @t63 (or @t315 @t134))) % 0.40/0.88 (assume @p554 (forall @t63 (or @t315 @t367))) % 0.40/0.89 (assume @p555 (forall @t115 (or @t267 @t241 (not @t559)))) % 0.40/0.89 (assume @p556 (forall @t115 (or @t267 @t559 @t242))) % 0.40/0.89 (assume @p557 (forall @t213 (or @t504 @t560 @t205))) % 0.40/0.89 (assume @p558 (forall @t213 (or @t52 @t560 @t205))) % 0.40/0.89 (assume @p559 (forall @t149 (or @t52 @t147 (not @t560)))) % 0.40/0.89 (assume @p560 (forall @t458 (or @t504 @t561 @t205))) % 0.40/0.89 (assume @p561 (forall @t458 (or @t52 @t561 @t205))) % 0.40/0.89 (assume @p562 (forall @t149 (or @t52 @t147 (not @t561)))) % 0.40/0.89 (assume @p563 (forall @t77 (or (tptp.c_HOL_Oord__class_Oless @t5 @t443 tptp.tc_nat) @t78))) % 0.40/0.89 (assume @p564 (forall @t247 (or @t59 (not @t562)))) % 0.40/0.89 (assume @p565 (forall @t179 (or @t562 @t60))) % 0.40/0.89 (assume @p566 (forall @t63 (or @t317 (not @t319) (not @t320)))) % 0.40/0.89 (assume @p567 (forall @t255 (or @t302 @t24 @t370 @t23))) % 0.40/0.89 (assume @p568 (forall @t255 (or @t302 @t250 @t370 @t301))) % 0.40/0.89 (assume @p569 (forall @t255 (or @t302 @t250 @t253 @t23))) % 0.40/0.89 (assume @p570 (forall @t120 (or @t290 (tptp.c_lessequals @t119 @t44 @t10) @t400 @t397))) % 0.40/0.89 (assume @p571 (forall @t186 (or @t299 @t13 @t17 @t221))) % 0.40/0.89 (assume @p572 (forall @t84 (tptp.c_lessequals @t57 @t57 tptp.tc_nat))) % 0.40/0.89 (assume @p573 (forall @t77 (or (tptp.c_lessequals @t4 @t2 tptp.tc_nat) (not (tptp.c_lessequals @t1 @t2 tptp.tc_nat)) @t194))) % 0.40/0.89 (assume @p574 (forall @t284 @t283)) % 0.40/0.89 (assume @p575 (forall @t158 (or @t302 @t430))) % 0.40/0.89 (assume @p576 (forall @t158 (or @t299 @t430))) % 0.40/0.89 (assume @p577 (forall @t186 (or @t299 @t229 @t232 @t221))) % 0.40/0.89 (assume @p578 (forall @t186 (or @t299 @t229 @t17 @t298))) % 0.40/0.89 (assume @p579 (forall (@list @t10 @t28 @t31 @t85 @t47) (or @t228 (tptp.c_lessequals @t28 @t277 @t10) @t276 (not (tptp.c_lessequals @t28 @t308 @t10))))) % 0.40/0.89 (assume @p580 (forall (@list @t380 @t499 @t496) (not (= @t382 @t500)))) % 0.40/0.89 (assume @p581 (forall (@list @t58 @t4 @t57) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t58 @t4 tptp.tc_nat) @t541 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t563 @t4 tptp.tc_nat)))) % 0.40/0.89 (assume @p582 (= @t436 @t128)) % 0.40/0.89 (assume @p583 (forall @t158 (or @t513 (= @t111 @t12)))) % 0.40/0.89 (assume @p584 (forall @t120 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t163 @t31 @t10) @t44)))) % 0.40/0.89 (assume @p585 (forall @t364 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t291 @t31 @t10) @t44)))) % 0.40/0.89 (assume @p586 (forall (@list @t85 @t12) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t85 @t12 tptp.tc_nat) @t85 tptp.tc_nat) @t127))) % 0.40/0.89 (assume @p587 (forall @t211 (or @t148 @t210 @t54 @t46 @t206 @t205))) % 0.40/0.89 (assume @p588 (forall @t68 (or @t566 @t565 @t223))) % 0.40/0.89 (assume @p589 (forall (@list @t499 @t496 @t380) (not (= @t500 @t382)))) % 0.40/0.89 (assume @p590 (forall @t77 (or (tptp.c_lessequals @t548 @t547 tptp.tc_nat) @t194))) % 0.40/0.89 (assume @p591 (forall @t546 (or (tptp.c_lessequals @t545 @t544 tptp.tc_nat) @t194))) % 0.40/0.89 (assume @p592 (forall @t179 (or @t270 @t223))) % 0.40/0.89 (assume @p593 (forall @t182 (or @t269 @t223))) % 0.40/0.89 (assume @p594 (forall @t63 (or @t59 (not @t567)))) % 0.40/0.89 (assume @p595 (forall @t68 (or @t567 @t60))) % 0.40/0.89 (assume @p596 (forall @t288 (or @t113 (= @t403 @t44)))) % 0.40/0.89 (assume @p597 (forall @t458 (or @t113 @t454 @t147 @t146))) % 0.40/0.89 (assume @p598 (forall @t53 (or @t113 @t540 @t459 @t146))) % 0.40/0.89 (assume @p599 (forall @t458 (or @t113 @t454 @t147 @t153))) % 0.40/0.89 (assume @p600 (forall @t53 (or @t113 @t540 @t459 @t153))) % 0.40/0.89 (assume @p601 (forall @t84 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t57 @t128 tptp.tc_nat)) @t57) @t134))) % 0.40/0.89 (assume @p602 (forall @t63 (or (tptp.c_HOL_Oord__class_Oless @t105 @t58 tptp.tc_nat) @t367 @t134))) % 0.40/0.89 (assume @p603 (forall @t21 (or @t20 (tptp.c_lessequals @t569 @t568 @t10)))) % 0.40/0.89 (assume @p604 (forall @t572 (or @t228 @t571 @t570 @t23))) % 0.40/0.89 (assume @p605 (forall @t572 (or @t228 @t571 @t22 (not @t570)))) % 0.40/0.89 (assume @p606 (forall @t572 (or @t228 @t571 @t573 @t298))) % 0.40/0.89 (assume @p607 (forall @t572 (or @t228 @t571 @t297 (not @t573)))) % 0.40/0.89 (assume @p608 (forall @t213 (or @t114 (= @t431 @t292)))) % 0.40/0.89 (assume @p609 (forall @t149 (or @t114 (= @t432 @t292)))) % 0.40/0.89 (assume @p610 (forall @t68 (or @t512 @t59))) % 0.40/0.89 (assume @p611 (forall @t542 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t57 @t574 tptp.tc_nat) @t57 tptp.tc_nat) @t134))) % 0.40/0.89 (assume @p612 (forall @t63 (or @t533 @t132 @t129))) % 0.40/0.89 (assume @p613 (forall @t63 (or @t533 @t295 @t142))) % 0.40/0.89 (assume @p614 (forall @t27 (or @t20 (= (tptp.c_Orderings_Oord__class_Omax @t183 @t12 @t10) (tptp.c_Orderings_Oord__class_Omin @t538 (tptp.c_Orderings_Oord__class_Omax @t11 @t12 @t10) @t10))))) % 0.40/0.89 (assume @p615 (forall @t21 (or @t20 (= @t569 @t568)))) % 0.40/0.89 (assume @p616 (forall @t364 (or @t302 @t540 @t393 @t56))) % 0.40/0.89 (assume @p617 (forall @t364 (or @t302 @t540 @t56 @t393))) % 0.40/0.89 (assume @p618 (forall @t63 (or @t59 @t176 @t223))) % 0.40/0.89 (assume @p619 (forall @t63 (or @t176 @t59 @t223))) % 0.40/0.89 (assume @p620 (forall @t37 (or @t302 @t473 @t297 @t221))) % 0.40/0.89 (assume @p621 (forall @t37 (or @t302 @t297 @t473 @t221))) % 0.40/0.89 (assume @p622 (forall @t120 (or @t302 @t147 @t393 @t275))) % 0.40/0.89 (assume @p623 (forall @t120 (or @t302 @t147 @t275 @t393))) % 0.40/0.89 (assume @p624 (forall @t37 (or @t20 @t473 @t221 @t297))) % 0.40/0.89 (assume @p625 (forall @t37 (or @t20 @t473 @t297 @t221))) % 0.40/0.89 (assume @p626 (forall @t120 (or @t481 @t557 @t294 @t46))) % 0.40/0.89 (assume @p627 (forall @t120 (or @t113 @t557 @t400 @t397))) % 0.40/0.89 (assume @p628 (forall @t120 (or @t113 @t557 @t294 @t46))) % 0.40/0.89 (assume @p629 (forall @t115 (or @t113 (tptp.c_lessequals @t44 @t482 @t10)))) % 0.40/0.89 (assume @p630 (forall @t120 (or @t94 @t557 @t400 @t397))) % 0.40/0.89 (assume @p631 (forall @t120 (or @t94 @t557 @t294 @t46))) % 0.40/0.89 (assume @p632 (forall @t213 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t144 @t143 @t10) (tptp.c_HOL_Otimes__class_Otimes @t249 @t47 @t10))))) % 0.40/0.89 (assume @p633 (forall @t458 (or @t114 (= (tptp.c_Divides_Odiv__class_Omod @t151 @t150 @t10) (tptp.c_HOL_Otimes__class_Otimes @t47 @t249 @t10))))) % 0.40/0.89 (assume @p634 (forall (@list @t110 @t2) (= (tptp.c_Lambda_Olift @t490 @t2) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t110 @t527))))) % 0.40/0.89 (assume @p635 (forall @t63 (or @t575 @t435))) % 0.40/0.89 (assume @p636 (forall @t63 (or @t575 @t401))) % 0.40/0.89 (assume @p637 (forall @t149 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t10)) (= (tptp.c_HOL_Otimes__class_Otimes @t163 @t47 @t10) (tptp.c_HOL_Otimes__class_Otimes @t28 @t143 @t10))))) % 0.40/0.89 (assume @p638 (forall @t577 (or @t117 (= @t576 (tptp.c_HOL_Otimes__class_Otimes @t413 @t410 @t10))))) % 0.40/0.89 (assume @p639 (forall @t577 (or @t117 (= @t576 (tptp.c_HOL_Otimes__class_Otimes @t412 (tptp.c_HOL_Otimes__class_Otimes @t410 @t411 @t10) @t10))))) % 0.40/0.89 (assume @p640 (forall @t579 (or @t117 (= @t578 (tptp.c_HOL_Otimes__class_Otimes @t413 @t409 @t10))))) % 0.40/0.89 (assume @p641 (forall @t579 (or @t117 (= @t578 (tptp.c_HOL_Otimes__class_Otimes @t411 (tptp.c_HOL_Otimes__class_Otimes @t412 @t409 @t10) @t10))))) % 0.40/0.89 (assume @p642 (forall @t247 (= (tptp.c_HOL_Otimes__class_Otimes @t130 @t2 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t58 @t180 tptp.tc_nat)))) % 0.40/0.89 (assume @p643 (forall @t21 (or @t117 (= (tptp.c_HOL_Otimes__class_Otimes @t12 (tptp.c_HOL_Otimes__class_Otimes @t15 @t11 @t10) @t10) (tptp.c_HOL_Otimes__class_Otimes @t262 @t11 @t10))))) % 0.40/0.89 (assume @p644 (forall @t149 (or @t117 @t580))) % 0.40/0.89 (assume @p645 (forall @t149 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t10)) @t580))) % 0.40/0.89 (assume @p646 (forall @t247 (= (tptp.c_HOL_Otimes__class_Otimes @t122 @t2 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t181 @t180 tptp.tc_nat)))) % 0.40/0.89 (assume @p647 (forall @t179 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t122 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t102 @t177 tptp.tc_nat)))) % 0.40/0.89 (assume @p648 (forall @t21 (or @t117 (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t304 @t10) @t264)))) % 0.40/0.89 (assume @p649 (forall @t120 (or @t302 @t205 @t549))) % 0.40/0.89 (assume @p650 (forall @t37 (or @t20 @t298 @t301))) % 0.40/0.89 (assume @p651 (forall @t68 (or @t103 @t222))) % 0.40/0.89 (assume @p652 (forall @t38 (or @t20 @t22 @t187))) % 0.40/0.89 (assume @p653 (forall @t38 (or @t299 @t301 @t298))) % 0.40/0.89 (assume @p654 (forall @t364 (or @t299 @t549 @t205))) % 0.40/0.89 (assume @p655 (forall @t68 (or @t581 @t104))) % 0.40/0.89 (assume @p656 (forall @t68 (or @t103 (not @t581)))) % 0.40/0.89 (assume @p657 (forall @t179 (or (not (= @t485 @t484)) @t176))) % 0.40/0.89 (assume @p658 (forall (@list @t108 @t168 @t110 @t2) (= (tptp.c_Lambda_Osubst @t537 @t110 @t2) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t108 @t110 @t2) (tptp.c_Lambda_Osubst @t168 @t110 @t2))))) % 0.40/0.89 (assume @p659 (forall @t63 (or @t279 @t60))) % 0.40/0.89 (assume @p660 (forall @t63 (or @t59 (not @t582)))) % 0.40/0.89 (assume @p661 (forall (@list @t380 @t583) (not (= @t382 @t584)))) % 0.40/0.89 (assume @p662 (forall @t587 (or (not (= @t584 (tptp.c_Lambda_OdB_OVar @t585))) @t586))) % 0.40/0.89 (assume @p663 (forall (@list @t2 @t168) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t2) @t168 @t2) @t168))) % 0.40/0.89 (assume @p664 (forall @t63 (= @t387 (tptp.c_Divides_Odiv__class_Omod @t530 @t57 tptp.tc_nat)))) % 0.40/0.89 (assume @p665 (forall @t84 (not (= @t57 @t66)))) % 0.40/0.89 (assume @p666 (forall @t84 (not (= @t66 @t57)))) % 0.40/0.89 (assume @p667 (forall @t590 (or (= @t589 @t588) (not (tptp.c_HOL_Oord__class_Oless @t1 @t4 tptp.tc_nat))))) % 0.40/0.89 (assume @p668 (forall @t84 (not (tptp.c_lessequals @t66 @t57 tptp.tc_nat)))) % 0.40/0.89 (assume @p669 (forall @t63 (or @t591 @t223))) % 0.40/0.89 (assume @p670 (forall @t63 (or @t222 @t64))) % 0.40/0.89 (assume @p671 (forall @t594 (or (= @t593 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t4 @t83 tptp.tc_nat))) (not @t592)))) % 0.40/0.89 (assume @p672 (forall @t590 (or (= @t589 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t1 @t83 tptp.tc_nat))) @t78))) % 0.40/0.89 (assume @p673 (forall @t77 (or (tptp.c_HOL_Oord__class_Oless @t574 @t2 tptp.tc_nat) @t426 @t78))) % 0.40/0.89 (assume @p674 (forall @t284 @t282)) % 0.40/0.89 (assume @p675 (forall @t84 (tptp.c_HOL_Oord__class_Oless @t57 @t66 tptp.tc_nat))) % 0.40/0.89 (assume @p676 (forall (@list @t4 @t108) (not (tptp.c_Lambda_Obeta @t330 @t108)))) % 0.40/0.89 (assume @p677 (forall @t160 (not (= @t61 @t127)))) % 0.40/0.89 (assume @p678 (forall @t596 (not (= @t595 @t127)))) % 0.40/0.89 (assume @p679 (forall @t68 (or @t566 @t565 @t65))) % 0.40/0.89 (assume @p680 (forall @t63 (or @t176 @t565 @t65))) % 0.40/0.89 (assume @p681 (forall @t63 (or @t176 @t59 @t280))) % 0.40/0.89 (assume @p682 (forall (@list @t583 @t497 @t495) (not (= @t584 @t498)))) % 0.40/0.89 (assume @p683 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t61 @t66 tptp.tc_nat) @t105))) % 0.40/0.89 (assume @p684 (forall (@list @t108 @t4) (or (tptp.c_InductTermi_OIT @t469) (not (tptp.c_InductTermi_OIT @t108))))) % 0.40/0.89 (assume @p685 (forall (@list @t583 @t380) (not (= @t584 @t382)))) % 0.40/0.89 (assume @p686 (forall @t587 (or (not (= (tptp.c_Suc @t583) @t595)) @t586))) % 0.40/0.89 (assume @p687 (forall @t505 (or (not (= @t281 (tptp.c_Suc @t15))) @t473))) % 0.40/0.89 (assume @p688 (forall @t160 (not (= @t127 @t61)))) % 0.40/0.89 (assume @p689 (forall @t596 (not (= @t127 @t595)))) % 0.40/0.89 (assume @p690 (forall @t63 (= @t598 @t597))) % 0.40/0.89 (assume @p691 (forall @t63 (= @t599 @t597))) % 0.40/0.89 (assume @p692 (forall (@list @t519 @t108 @t4 @t110) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t519 @t108 @t4) (tptp.c_Lambda_Osubst @t110 @t108 @t4)) @t543))) % 0.40/0.89 (assume @p693 (forall @t63 (= (tptp.c_Orderings_Oord__class_Omax @t61 @t66 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t58 @t57 tptp.tc_nat))))) % 0.40/0.89 (assume @p694 (forall @t594 (or (= @t593 @t330) (= @t4 @t2) @t592))) % 0.40/0.89 (assume @p695 (forall @t63 (or (= @t387 @t530) @t531))) % 0.40/0.89 (assume @p696 (forall (@list @t12 @t110) (or @t427 (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t12) @t110 @t12) @t110)))) % 0.40/0.89 (assume @p697 (forall @t63 (= @t598 @t599))) % 0.40/0.89 (assume @p698 (forall @t63 (or @t582 (= @t61 @t57) @t60))) % 0.40/0.89 (assume @p699 (forall @t63 (or @t223 @t69))) % 0.40/0.89 (assume @p700 (forall @t68 (or @t67 @t222))) % 0.40/0.89 (assume @p701 (forall @t247 (= (tptp.c_HOL_Ominus__class_Ominus @t106 @t483 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t105 @t2 tptp.tc_nat)))) % 0.40/0.89 (assume @p702 (forall (@list @t519) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs @t519)) (not (tptp.c_InductTermi_OIT @t519))))) % 0.40/0.89 (assume @p703 (forall @t84 (tptp.c_lessequals @t66 @t66 tptp.tc_nat))) % 0.40/0.89 (assume @p704 (forall (@list @t108 @t2 @t110) (= (tptp.c_Lambda_Osubst @t109 @t110 @t2) @t108))) % 0.40/0.89 (assume @p705 (forall @t63 (= (tptp.c_Orderings_Oord__class_Omin @t61 @t66 tptp.tc_nat) (tptp.c_Suc @t563)))) % 0.40/0.89 (assume @p706 (forall @t63 (or (= @t58 @t66) @t222 (not @t591)))) % 0.40/0.89 (assume @p707 (forall @t284 (or @t427 @t282))) % 0.40/0.89 (assume @p708 (forall @t63 (or @t60 @t565))) % 0.40/0.89 (assume @p709 (forall @t68 (or @t564 @t59))) % 0.40/0.89 (assume @p710 (forall (@list @t497 @t495 @t583) (not (= @t498 @t584)))) % 0.40/0.89 (assume @p711 (forall (@list @t12 @t57) (or (tptp.c_HOL_Oord__class_Oless @t281 @t66 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t12 @t57 tptp.tc_nat))))) % 0.40/0.89 (assume @p712 (forall @t63 (or @t59 (not @t600)))) % 0.40/0.89 (assume @p713 (forall @t63 (or @t600 @t60))) % 0.40/0.89 (assume @p714 (tptp.c_InductTermi_OIT tptp.v_ra)) % 0.40/0.89 (assume @p715 @t601) % 0.40/0.89 (assume @p716 (not @t604)) % 0.40/0.89 (assume @p717 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.40/0.89 (assume @p718 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.40/0.89 (assume @p719 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.40/0.89 (assume @p720 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.40/0.89 (assume @p721 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.40/0.89 (assume @p722 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.40/0.89 (assume @p723 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.40/0.89 (assume @p724 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.40/0.89 (assume @p725 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.40/0.89 (assume @p726 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.40/0.89 (assume @p727 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.40/0.89 (assume @p728 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.40/0.89 (assume @p729 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.40/0.89 (assume @p730 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.40/0.89 (assume @p731 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.40/0.89 (assume @p732 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.40/0.89 (assume @p733 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.40/0.89 (assume @p734 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.40/0.89 (assume @p735 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.40/0.89 (assume @p736 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.40/0.89 (assume @p737 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.40/0.89 (assume @p738 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.40/0.89 (assume @p739 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.40/0.89 (assume @p740 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.40/0.89 (assume @p741 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.40/0.89 (assume @p742 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.40/0.89 (assume @p743 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.40/0.89 (assume @p744 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.40/0.89 (assume @p745 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.40/0.89 (assume @p746 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.40/0.89 (assume-push @p754 @t601) % 0.40/0.89 (step @p748 :rule instantiate :premises (@p715) :args ((@list @t603 @t602))) % 0.40/0.89 (step-pop @p755 :rule scope :premises (@p748)) % 0.40/0.89 (step @p749 :rule process_scope :premises (@p755) :args (@t604)) % 0.40/0.89 (step @p751 :rule implies_elim :premises (@p749)) % 0.40/0.89 (step @p752 :rule reordering :premises (@p751) :args ((or @t604 (not @t601)))) % 0.40/0.89 (step @p753 false :rule chain_m_resolution :premises (@p752 @p716 @p715) :args (false (@list true false) (@list @t604 @t601))) % 0.40/0.89 ) % 0.40/0.89 % SZS output end Proof % 0.40/0.89 % cvc5 exiting %------------------------------------------------------------------------------