%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV854-1 : TPTP v9.2.1. 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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:30 AM UTC 2026 % Result : Unsatisfiable 0.53s 1.00s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWV854-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:17:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/1.00 % SZS status Unsatisfiable % 0.53/1.00 % SZS output start Proof % 0.86/1.03 ( % 0.86/1.03 (declare-sort $$unsorted 0) % 0.86/1.03 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.v_na $$unsorted) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.t_c $$unsorted) % 0.86/1.03 (declare-const tptp.v_R $$unsorted) % 0.86/1.03 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_P $$unsorted) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.t_b $$unsorted) % 0.86/1.03 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_Procs $$unsorted) % 0.86/1.03 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Orderings_Oorder__class_Omono (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_Q $$unsorted) % 0.86/1.03 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.v_x $$unsorted) % 0.86/1.03 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_bool $$unsorted) % 0.86/1.03 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Suc $$unsorted) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_nat $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.t_a $$unsorted) % 0.86/1.03 (declare-const tptp.v_G $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.86/1.03 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.86/1.03 (define @t1 () (@var "V_com_H" $$unsorted)) % 0.86/1.03 (define @t2 () (@var "V_fun_H" $$unsorted)) % 0.86/1.03 (define @t3 () (tptp.c_Com_Ocom_OWhile @t2 @t1)) % 0.86/1.03 (define @t4 () (@list @t2 @t1)) % 0.86/1.03 (define @t5 () (@var "T_a" $$unsorted)) % 0.86/1.03 (define @t6 () (@var "V_z" $$unsorted)) % 0.86/1.03 (define @t7 () (@var "V_x" $$unsorted)) % 0.86/1.03 (define @t8 () (tptp.c_HOL_Oord__class_Oless @t7 @t6 @t5)) % 0.86/1.03 (define @t9 () (not @t8)) % 0.86/1.03 (define @t10 () (@var "V_y" $$unsorted)) % 0.86/1.03 (define @t11 () (tptp.c_HOL_Oord__class_Oless @t10 @t6 @t5)) % 0.86/1.03 (define @t12 () (not @t11)) % 0.86/1.03 (define @t13 () (tptp.c_Orderings_Oord__class_Omax @t7 @t10 @t5)) % 0.86/1.03 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t13 @t6 @t5)) % 0.86/1.03 (define @t15 () (not (tptp.class_Orderings_Olinorder @t5))) % 0.86/1.03 (define @t16 () (@list @t5 @t7 @t10 @t6)) % 0.86/1.03 (define @t17 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t6 @t5)) % 0.86/1.03 (define @t18 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t6 @t5)) % 0.86/1.03 (define @t19 () (tptp.c_Orderings_Oord__class_Omin @t7 @t10 @t5)) % 0.86/1.03 (define @t20 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t5))) % 0.86/1.03 (define @t21 () (@var "V_n" $$unsorted)) % 0.86/1.03 (define @t22 () (@var "V_m" $$unsorted)) % 0.86/1.03 (define @t23 () (tptp.c_lessequals @t22 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t24 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.86/1.03 (define @t25 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t26 () (= @t25 @t24)) % 0.86/1.03 (define @t27 () (not @t26)) % 0.86/1.03 (define @t28 () (@list @t22 @t21)) % 0.86/1.03 (define @t29 () (not @t23)) % 0.86/1.03 (define @t30 () (tptp.c_lessequals @t7 @t10 @t5)) % 0.86/1.03 (define @t31 () (not @t30)) % 0.86/1.03 (define @t32 () (tptp.c_lessequals @t7 @t6 @t5)) % 0.86/1.03 (define @t33 () (not @t32)) % 0.86/1.03 (define @t34 () (tptp.c_Orderings_Oord__class_Omin @t10 @t6 @t5)) % 0.86/1.03 (define @t35 () (tptp.c_lessequals @t7 @t34 @t5)) % 0.86/1.03 (define @t36 () (@var "V_a" $$unsorted)) % 0.86/1.03 (define @t37 () (tptp.c_lessequals @t7 @t36 @t5)) % 0.86/1.03 (define @t38 () (not @t37)) % 0.86/1.03 (define @t39 () (@var "V_b" $$unsorted)) % 0.86/1.03 (define @t40 () (tptp.c_lessequals @t7 @t39 @t5)) % 0.86/1.03 (define @t41 () (not @t40)) % 0.86/1.03 (define @t42 () (tptp.c_Orderings_Oord__class_Omin @t36 @t39 @t5)) % 0.86/1.03 (define @t43 () (tptp.c_lessequals @t7 @t42 @t5)) % 0.86/1.03 (define @t44 () (@list @t5 @t7 @t36 @t39)) % 0.86/1.03 (define @t45 () (@list @t5 @t7 @t10)) % 0.86/1.03 (define @t46 () (@var "V_com" $$unsorted)) % 0.86/1.03 (define @t47 () (@var "V_fun" $$unsorted)) % 0.86/1.03 (define @t48 () (@var "V_loc" $$unsorted)) % 0.86/1.03 (define @t49 () (tptp.c_Com_Ocom_OLocal @t48 @t47 @t46)) % 0.86/1.03 (define @t50 () (@var "V_s" $$unsorted)) % 0.86/1.03 (define @t51 () (tptp.hBOOL (tptp.hAPP @t39 @t50))) % 0.86/1.03 (define @t52 () (@var "V_c" $$unsorted)) % 0.86/1.03 (define @t53 () (tptp.c_Com_Ocom_OWhile @t39 @t52)) % 0.86/1.03 (define @t54 () (@var "V_i" $$unsorted)) % 0.86/1.03 (define @t55 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.86/1.03 (define @t56 () (tptp.hAPP @t55 @t54)) % 0.86/1.03 (define @t57 () (@list @t54 @t22)) % 0.86/1.03 (define @t58 () (tptp.hAPP @t55 @t22)) % 0.86/1.03 (define @t59 () (tptp.hAPP @t58 @t7)) % 0.86/1.03 (define @t60 () (@list @t22 @t7)) % 0.86/1.03 (define @t61 () (@var "V_j" $$unsorted)) % 0.86/1.03 (define @t62 () (@var "V_k" $$unsorted)) % 0.86/1.03 (define @t63 () (not (tptp.c_lessequals @t62 @t61 tptp.tc_nat))) % 0.86/1.03 (define @t64 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t62 tptp.tc_nat)) % 0.86/1.03 (define @t65 () (tptp.c_lessequals @t54 @t64 tptp.tc_nat)) % 0.86/1.03 (define @t66 () (tptp.hAPP @t56 @t62)) % 0.86/1.03 (define @t67 () (tptp.c_lessequals @t66 @t61 tptp.tc_nat)) % 0.86/1.03 (define @t68 () (@list @t54 @t62 @t61)) % 0.86/1.03 (define @t69 () (@list @t54 @t61 @t62)) % 0.86/1.03 (define @t70 () (tptp.c_lessequals @t10 @t6 @t5)) % 0.86/1.03 (define @t71 () (not @t70)) % 0.86/1.03 (define @t72 () (tptp.c_lessequals @t13 @t6 @t5)) % 0.86/1.03 (define @t73 () (tptp.c_lessequals @t10 @t7 @t5)) % 0.86/1.03 (define @t74 () (not @t73)) % 0.86/1.03 (define @t75 () (tptp.c_lessequals @t6 @t7 @t5)) % 0.86/1.03 (define @t76 () (not @t75)) % 0.86/1.03 (define @t77 () (tptp.c_Orderings_Oord__class_Omax @t10 @t6 @t5)) % 0.86/1.03 (define @t78 () (@list @t5 @t10 @t6 @t7)) % 0.86/1.03 (define @t79 () (tptp.c_lessequals @t36 @t7 @t5)) % 0.86/1.03 (define @t80 () (not @t79)) % 0.86/1.03 (define @t81 () (tptp.c_lessequals @t39 @t7 @t5)) % 0.86/1.03 (define @t82 () (not @t81)) % 0.86/1.03 (define @t83 () (tptp.c_Orderings_Oord__class_Omax @t36 @t39 @t5)) % 0.86/1.03 (define @t84 () (tptp.c_lessequals @t83 @t7 @t5)) % 0.86/1.03 (define @t85 () (@list @t5 @t36 @t39 @t7)) % 0.86/1.03 (define @t86 () (@list @t5 @t10 @t7)) % 0.86/1.03 (define @t87 () (@list @t5 @t7)) % 0.86/1.03 (define @t88 () (@var "V_com2_H" $$unsorted)) % 0.86/1.03 (define @t89 () (@var "V_com2" $$unsorted)) % 0.86/1.03 (define @t90 () (= @t89 @t88)) % 0.86/1.03 (define @t91 () (@var "V_com1_H" $$unsorted)) % 0.86/1.03 (define @t92 () (tptp.c_Com_Ocom_OSemi @t91 @t88)) % 0.86/1.03 (define @t93 () (@var "V_com1" $$unsorted)) % 0.86/1.03 (define @t94 () (tptp.c_Com_Ocom_OSemi @t93 @t89)) % 0.86/1.03 (define @t95 () (not (= @t94 @t92))) % 0.86/1.03 (define @t96 () (@list @t93 @t89 @t91 @t88)) % 0.86/1.03 (define @t97 () (= @t93 @t91)) % 0.86/1.03 (define @t98 () (tptp.c_Orderings_Oord__class_Omin @t10 @t7 @t5)) % 0.86/1.03 (define @t99 () (tptp.c_Orderings_Oord__class_Omin @t7 @t6 @t5)) % 0.86/1.03 (define @t100 () (tptp.c_Orderings_Oord__class_Omax @t19 @t99 @t5)) % 0.86/1.03 (define @t101 () (tptp.c_Orderings_Oord__class_Omin @t7 @t77 @t5)) % 0.86/1.03 (define @t102 () (tptp.c_Com_Ocom_OCond @t2 @t91 @t88)) % 0.86/1.03 (define @t103 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t5 tptp.tc_bool))) % 0.86/1.03 (define @t104 () (@var "V_A" $$unsorted)) % 0.86/1.03 (define @t105 () (tptp.c_Set_Oinsert @t36 @t104 @t5)) % 0.86/1.03 (define @t106 () (@list @t36 @t104 @t5)) % 0.86/1.03 (define @t107 () (tptp.c_COMBI @t5)) % 0.86/1.03 (define @t108 () (@list @t5 @t104)) % 0.86/1.03 (define @t109 () (tptp.c_HOL_Ozero__class_Ozero @t5)) % 0.86/1.03 (define @t110 () (tptp.c_lessequals @t109 @t36 @t5)) % 0.86/1.03 (define @t111 () (not @t110)) % 0.86/1.03 (define @t112 () (not (tptp.c_lessequals @t39 @t52 @t5))) % 0.86/1.03 (define @t113 () (tptp.c_HOL_Oplus__class_Oplus @t5)) % 0.86/1.03 (define @t114 () (tptp.hAPP @t113 @t36)) % 0.86/1.03 (define @t115 () (tptp.hAPP @t114 @t52)) % 0.86/1.03 (define @t116 () (tptp.c_lessequals @t39 @t115 @t5)) % 0.86/1.03 (define @t117 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t5))) % 0.86/1.03 (define @t118 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t5))) % 0.86/1.03 (define @t119 () (@list @t5 @t39 @t36 @t52)) % 0.86/1.03 (define @t120 () (tptp.hAPP @t55 @t62)) % 0.86/1.03 (define @t121 () (tptp.hAPP @t120 @t22)) % 0.86/1.03 (define @t122 () (tptp.hAPP tptp.c_Suc @t61)) % 0.86/1.03 (define @t123 () (tptp.hAPP tptp.c_Suc @t64)) % 0.86/1.03 (define @t124 () (@var "T_b" $$unsorted)) % 0.86/1.03 (define @t125 () (@var "V_f8" $$unsorted)) % 0.86/1.03 (define @t126 () (@var "V_f7" $$unsorted)) % 0.86/1.03 (define @t127 () (@var "V_f6" $$unsorted)) % 0.86/1.03 (define @t128 () (@var "V_f5" $$unsorted)) % 0.86/1.03 (define @t129 () (@var "V_f4" $$unsorted)) % 0.86/1.03 (define @t130 () (@var "V_f3" $$unsorted)) % 0.86/1.03 (define @t131 () (@var "V_f2" $$unsorted)) % 0.86/1.03 (define @t132 () (@var "V_f1" $$unsorted)) % 0.86/1.03 (define @t133 () (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t89 @t5)) % 0.86/1.03 (define @t134 () (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t93 @t5)) % 0.86/1.03 (define @t135 () (tptp.hAPP (tptp.hAPP @t129 @t93) @t89)) % 0.86/1.03 (define @t136 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t93 @t89 @t5)) % 0.86/1.03 (define @t137 () (@var "V_vname_H" $$unsorted)) % 0.86/1.03 (define @t138 () (@var "V_vname" $$unsorted)) % 0.86/1.03 (define @t139 () (= @t138 @t137)) % 0.86/1.03 (define @t140 () (@var "V_pname_H" $$unsorted)) % 0.86/1.03 (define @t141 () (tptp.c_Com_Ocom_OCall @t137 @t140 @t2)) % 0.86/1.03 (define @t142 () (@var "V_pname" $$unsorted)) % 0.86/1.03 (define @t143 () (tptp.c_Com_Ocom_OCall @t138 @t142 @t47)) % 0.86/1.03 (define @t144 () (not (= @t143 @t141))) % 0.86/1.03 (define @t145 () (@list @t138 @t142 @t47 @t137 @t140 @t2)) % 0.86/1.03 (define @t146 () (= @t142 @t140)) % 0.86/1.03 (define @t147 () (= @t47 @t2)) % 0.86/1.03 (define @t148 () (tptp.c_HOL_Oord__class_Oless @t109 @t36 @t5)) % 0.86/1.03 (define @t149 () (not @t148)) % 0.86/1.03 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t39 @t115 @t5)) % 0.86/1.03 (define @t151 () (tptp.hAPP tptp.c_Suc @t24)) % 0.86/1.03 (define @t152 () (tptp.hAPP (tptp.hAPP @t55 @t151) @t24)) % 0.86/1.03 (define @t153 () (tptp.c_Divides_Odiv__class_Omod @t36 @t39 @t5)) % 0.86/1.03 (define @t154 () (not (tptp.class_Divides_Osemiring__div @t5))) % 0.86/1.03 (define @t155 () (@list @t5 @t36 @t39)) % 0.86/1.03 (define @t156 () (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t46 @t5)) % 0.86/1.03 (define @t157 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t130 @t48) @t47) @t46)) % 0.86/1.03 (define @t158 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t48 @t47 @t46 @t5)) % 0.86/1.03 (define @t159 () (tptp.c_Com_Ocom_OAss @t138 @t47)) % 0.86/1.03 (define @t160 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t5)) % 0.86/1.03 (define @t161 () (@var "V_P" $$unsorted)) % 0.86/1.03 (define @t162 () (@list @t5 @t36)) % 0.86/1.03 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t6 @t7 @t5)) % 0.86/1.03 (define @t164 () (not @t163)) % 0.86/1.03 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t6 @t10 @t5)) % 0.86/1.03 (define @t166 () (not @t165)) % 0.86/1.03 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t6 @t19 @t5)) % 0.86/1.03 (define @t168 () (@list @t5 @t6 @t7 @t10)) % 0.86/1.03 (define @t169 () (= @t21 @t24)) % 0.86/1.03 (define @t170 () (@list @t21)) % 0.86/1.03 (define @t171 () (tptp.hAPP @t114 @t36)) % 0.86/1.03 (define @t172 () (tptp.c_lessequals @t109 @t171 @t5)) % 0.86/1.03 (define @t173 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t5))) % 0.86/1.03 (define @t174 () (tptp.c_Com_Ocom_OCond @t47 @t93 @t89)) % 0.86/1.03 (define @t175 () (@var "V_f" $$unsorted)) % 0.86/1.03 (define @t176 () (tptp.c_Fun_Oinj__on @t175 @t104 @t5 @t124)) % 0.86/1.03 (define @t177 () (tptp.c_HOL_Ominus__class_Ominus @t36 @t39 @t5)) % 0.86/1.03 (define @t178 () (not (tptp.class_OrderedGroup_Ogroup__add @t5))) % 0.86/1.03 (define @t179 () (tptp.hBOOL (tptp.hAPP @t161 @t7))) % 0.86/1.03 (define @t180 () (tptp.hAPP @t55 @t39)) % 0.86/1.03 (define @t181 () (@var "V_d" $$unsorted)) % 0.86/1.03 (define @t182 () (tptp.c_Set_Oinsert @t36 @t103 @t5)) % 0.86/1.03 (define @t183 () (not (tptp.c_lessequals @t54 @t61 tptp.tc_nat))) % 0.86/1.03 (define @t184 () (@var "V_l" $$unsorted)) % 0.86/1.03 (define @t185 () (tptp.hAPP @t55 @t61)) % 0.86/1.03 (define @t186 () (tptp.hAPP @t185 @t184)) % 0.86/1.03 (define @t187 () (@list @t54 @t62 @t61 @t184)) % 0.86/1.03 (define @t188 () (tptp.c_lessequals @t36 @t39 @t5)) % 0.86/1.03 (define @t189 () (not @t188)) % 0.86/1.03 (define @t190 () (not (tptp.c_lessequals @t52 @t181 @t5))) % 0.86/1.03 (define @t191 () (tptp.hAPP @t113 @t39)) % 0.86/1.03 (define @t192 () (tptp.hAPP @t191 @t181)) % 0.86/1.03 (define @t193 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t5))) % 0.86/1.03 (define @t194 () (@list @t5 @t36 @t52 @t39 @t181)) % 0.86/1.03 (define @t195 () (tptp.c_Power_Opower_Opower @t109 @t113 @t36 @t21 @t5)) % 0.86/1.03 (define @t196 () (tptp.hAPP @t113 @t195)) % 0.86/1.03 (define @t197 () (tptp.hAPP @t196 @t36)) % 0.86/1.03 (define @t198 () (tptp.hAPP tptp.c_Suc @t21)) % 0.86/1.03 (define @t199 () (tptp.c_Power_Opower_Opower @t109 @t113 @t36 @t198 @t5)) % 0.86/1.03 (define @t200 () (@list @t5 @t36 @t21)) % 0.86/1.03 (define @t201 () (tptp.hAPP @t114 @t195)) % 0.86/1.03 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t22 @t198 tptp.tc_nat)) % 0.86/1.03 (define @t203 () (not @t202)) % 0.86/1.03 (define @t204 () (tptp.hAPP tptp.c_Suc @t7)) % 0.86/1.03 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t7 @t204 tptp.tc_nat)) % 0.86/1.03 (define @t206 () (tptp.c_lessequals @t7 @t7 tptp.tc_nat)) % 0.86/1.03 (define @t207 () (@list @t7)) % 0.86/1.03 (define @t208 () (tptp.hAPP @t113 @t109)) % 0.86/1.03 (define @t209 () (= (tptp.hAPP @t208 @t109) @t109)) % 0.86/1.03 (define @t210 () (@list @t5)) % 0.86/1.03 (define @t211 () (tptp.hAPP @t55 @t24)) % 0.86/1.03 (define @t212 () (not (tptp.c_lessequals @t109 @t109 @t5))) % 0.86/1.03 (define @t213 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t5))) % 0.86/1.03 (define @t214 () (tptp.hAPP @t58 @t21)) % 0.86/1.03 (define @t215 () (tptp.hAPP tptp.c_Suc @t22)) % 0.86/1.03 (define @t216 () (tptp.hAPP @t114 @t39)) % 0.86/1.03 (define @t217 () (tptp.c_Fun_Oid @t5)) % 0.86/1.03 (define @t218 () (@list @t175 @t5 @t124)) % 0.86/1.03 (define @t219 () (@var "V_g" $$unsorted)) % 0.86/1.03 (define @t220 () (tptp.c_Fun_Oid @t124)) % 0.86/1.03 (define @t221 () (tptp.c_Divides_Odiv__class_Omod @t39 @t52 @t5)) % 0.86/1.03 (define @t222 () (tptp.c_Divides_Odiv__class_Omod @t36 @t52 @t5)) % 0.86/1.03 (define @t223 () (tptp.hAPP @t113 @t222)) % 0.86/1.03 (define @t224 () (tptp.c_Divides_Odiv__class_Omod @t216 @t52 @t5)) % 0.86/1.03 (define @t225 () (@list @t5 @t36 @t39 @t52)) % 0.86/1.03 (define @t226 () (not (tptp.c_lessequals @t109 @t39 @t5))) % 0.86/1.03 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t7 @t10 @t5)) % 0.86/1.03 (define @t228 () (not @t227)) % 0.86/1.03 (define @t229 () (not (tptp.class_Orderings_Opreorder @t5))) % 0.86/1.03 (define @t230 () (@list @t5 @t7 @t6 @t10)) % 0.86/1.03 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t10 @t7 @t5)) % 0.86/1.03 (define @t232 () (not @t231)) % 0.86/1.03 (define @t233 () (not (tptp.class_Orderings_Oorder @t5))) % 0.86/1.03 (define @t234 () (= @t13 @t10)) % 0.86/1.03 (define @t235 () (tptp.hAPP @t113 @t7)) % 0.86/1.03 (define @t236 () (tptp.hAPP @t235 @t10)) % 0.86/1.03 (define @t237 () (tptp.hAPP @t113 @t10)) % 0.86/1.03 (define @t238 () (tptp.hAPP @t237 @t6)) % 0.86/1.03 (define @t239 () (tptp.hAPP @t235 @t238)) % 0.86/1.03 (define @t240 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t5))) % 0.86/1.03 (define @t241 () (tptp.hAPP @t235 @t6)) % 0.86/1.03 (define @t242 () (not (tptp.class_OrderedGroup_Oab__group__add @t5))) % 0.86/1.03 (define @t243 () (tptp.hAPP @t55 @t7)) % 0.86/1.03 (define @t244 () (tptp.hAPP @t243 @t6)) % 0.86/1.03 (define @t245 () (tptp.hAPP @t55 @t10)) % 0.86/1.03 (define @t246 () (tptp.hAPP @t245 @t6)) % 0.86/1.03 (define @t247 () (@list @t7 @t10 @t6)) % 0.86/1.03 (define @t248 () (tptp.hAPP @t55 @t21)) % 0.86/1.03 (define @t249 () (tptp.hAPP @t248 @t62)) % 0.86/1.03 (define @t250 () (@list @t22 @t21 @t62)) % 0.86/1.03 (define @t251 () (tptp.hAPP @t191 @t52)) % 0.86/1.03 (define @t252 () (tptp.hAPP @t114 @t251)) % 0.86/1.03 (define @t253 () (tptp.hAPP @t113 @t216)) % 0.86/1.03 (define @t254 () (tptp.hAPP @t253 @t52)) % 0.86/1.03 (define @t255 () (= @t254 @t252)) % 0.86/1.03 (define @t256 () (tptp.hAPP @t113 @t115)) % 0.86/1.03 (define @t257 () (tptp.hAPP @t113 @t52)) % 0.86/1.03 (define @t258 () (tptp.hAPP @t257 @t181)) % 0.86/1.03 (define @t259 () (tptp.hAPP @t114 @t258)) % 0.86/1.03 (define @t260 () (@list @t5 @t36 @t52 @t181)) % 0.86/1.03 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t24 @t214 tptp.tc_nat)) % 0.86/1.03 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t24 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t263 () (tptp.c_HOL_Oord__class_Oless @t24 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t264 () (@list @t21 @t22)) % 0.86/1.03 (define @t265 () (@list @t22)) % 0.86/1.03 (define @t266 () (@var "V_u" $$unsorted)) % 0.86/1.03 (define @t267 () (tptp.hAPP @t58 @t61)) % 0.86/1.03 (define @t268 () (@list @t54 @t22 @t61)) % 0.86/1.03 (define @t269 () (tptp.hAPP @t185 @t22)) % 0.86/1.03 (define @t270 () (@list @t54 @t61 @t22)) % 0.86/1.03 (define @t271 () (tptp.hAPP @t58 @t62)) % 0.86/1.03 (define @t272 () (not (tptp.c_lessequals @t271 @t21 tptp.tc_nat))) % 0.86/1.03 (define @t273 () (tptp.c_lessequals @t62 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t274 () (tptp.c_lessequals @t7 @t246 tptp.tc_nat)) % 0.86/1.03 (define @t275 () (tptp.c_lessequals @t7 @t10 tptp.tc_nat)) % 0.86/1.03 (define @t276 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t125 @t138) @t142) @t47)) % 0.86/1.03 (define @t277 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t138 @t142 @t47 @t5)) % 0.86/1.03 (define @t278 () (not @t51)) % 0.86/1.03 (define @t279 () (@var "V_s1" $$unsorted)) % 0.86/1.03 (define @t280 () (@var "V_c0" $$unsorted)) % 0.86/1.03 (define @t281 () (@var "V_c1" $$unsorted)) % 0.86/1.03 (define @t282 () (tptp.c_Com_Ocom_OCond @t39 @t280 @t281)) % 0.86/1.03 (define @t283 () (tptp.c_Natural_Oevaln @t282 @t50 @t21 @t279)) % 0.86/1.03 (define @t284 () (@list @t39 @t280 @t281 @t50 @t21 @t279)) % 0.86/1.03 (define @t285 () (@var "V_t" $$unsorted)) % 0.86/1.03 (define @t286 () (@var "V_c2" $$unsorted)) % 0.86/1.03 (define @t287 () (tptp.c_Com_Ocom_OCond @t39 @t281 @t286)) % 0.86/1.03 (define @t288 () (not (tptp.c_Natural_Oevaln @t287 @t50 @t21 @t285))) % 0.86/1.03 (define @t289 () (tptp.c_Natural_Oevaln @t281 @t50 @t21 @t285)) % 0.86/1.03 (define @t290 () (tptp.c_Divides_Odiv__class_Omod @t177 @t52 @t5)) % 0.86/1.03 (define @t291 () (not (tptp.class_Divides_Oring__div @t5))) % 0.86/1.03 (define @t292 () (tptp.c_Set_Oinsert @t7 @t104 @t5)) % 0.86/1.03 (define @t293 () (tptp.c_Set_Oinsert @t10 @t104 @t5)) % 0.86/1.03 (define @t294 () (= @t19 @t7)) % 0.86/1.03 (define @t295 () (@var "V_R" $$unsorted)) % 0.86/1.03 (define @t296 () (@var "V_Q" $$unsorted)) % 0.86/1.03 (define @t297 () (tptp.hAPP @t296 @t295)) % 0.86/1.03 (define @t298 () (@var "T_c" $$unsorted)) % 0.86/1.03 (define @t299 () (tptp.hAPP @t161 @t295)) % 0.86/1.03 (define @t300 () (@list @t161 @t296 @t295 @t124 @t298 @t5)) % 0.86/1.03 (define @t301 () (not @t263)) % 0.86/1.03 (define @t302 () (tptp.c_Divides_Odiv__class_Omod @t22 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t303 () (tptp.hAPP (tptp.hAPP @t131 @t138) @t47)) % 0.86/1.03 (define @t304 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t138 @t47 @t5)) % 0.86/1.03 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 @t5)) % 0.86/1.03 (define @t306 () (not @t305)) % 0.86/1.03 (define @t307 () (tptp.c_lessequals @t7 @t7 @t5)) % 0.86/1.03 (define @t308 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t223 @t39) @t52 @t5)) % 0.86/1.03 (define @t309 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t114 @t221) @t52 @t5)) % 0.86/1.03 (define @t310 () (tptp.c_Orderings_Oord__class_Omin @t7 @t34 @t5)) % 0.86/1.03 (define @t311 () (not (tptp.c_lessequals @t39 @t36 @t5))) % 0.86/1.03 (define @t312 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t313 () (not @t312)) % 0.86/1.03 (define @t314 () (tptp.c_lessequals @t215 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t315 () (not @t314)) % 0.86/1.03 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t21 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t317 () (tptp.c_lessequals @t198 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t318 () (not @t317)) % 0.86/1.03 (define @t319 () (@list @t7 @t104 @t5)) % 0.86/1.03 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t7 @t10 tptp.tc_nat)) % 0.86/1.03 (define @t321 () (not @t320)) % 0.86/1.03 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t7 @t246 tptp.tc_nat)) % 0.86/1.03 (define @t323 () (tptp.hAPP @t56 @t61)) % 0.86/1.03 (define @t324 () (not (tptp.c_HOL_Oord__class_Oless @t54 @t61 tptp.tc_nat))) % 0.86/1.03 (define @t325 () (@var "V_loc_H" $$unsorted)) % 0.86/1.03 (define @t326 () (tptp.c_Com_Ocom_OLocal @t325 @t2 @t1)) % 0.86/1.03 (define @t327 () (tptp.hBOOL (tptp.hAPP @t293 @t7))) % 0.86/1.03 (define @t328 () (tptp.hBOOL (tptp.hAPP @t104 @t7))) % 0.86/1.03 (define @t329 () (tptp.c_lessequals @t21 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t330 () (not @t329)) % 0.86/1.03 (define @t331 () (tptp.c_HOL_Ominus__class_Ominus @t215 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t332 () (tptp.hAPP @t257 @t36)) % 0.86/1.03 (define @t333 () (tptp.hAPP @t191 @t36)) % 0.86/1.03 (define @t334 () (tptp.hAPP @t248 @t22)) % 0.86/1.03 (define @t335 () (not (tptp.c_HOL_Oord__class_Oless @t62 @t184 tptp.tc_nat))) % 0.86/1.03 (define @t336 () (tptp.hAPP @t120 @t21)) % 0.86/1.03 (define @t337 () (tptp.c_HOL_Ominus__class_Ominus @t184 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t338 () (tptp.c_HOL_Ominus__class_Ominus @t184 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t339 () (@list @t184 @t21 @t22)) % 0.86/1.03 (define @t340 () (= @t36 @t109)) % 0.86/1.03 (define @t341 () (not (tptp.class_Int_Onumber__ring @t5))) % 0.86/1.03 (define @t342 () (not (tptp.class_Ring__and__Field_Oidom @t5))) % 0.86/1.03 (define @t343 () (not (= @t174 @t102))) % 0.86/1.03 (define @t344 () (@list @t47 @t93 @t89 @t2 @t91 @t88)) % 0.86/1.03 (define @t345 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t7 @t5)) % 0.86/1.03 (define @t346 () (= @t345 @t109)) % 0.86/1.03 (define @t347 () (tptp.c_lessequals @t6 @t13 @t5)) % 0.86/1.03 (define @t348 () (tptp.c_lessequals @t6 @t10 @t5)) % 0.86/1.03 (define @t349 () (@list @t5 @t6 @t10 @t7)) % 0.86/1.03 (define @t350 () (@var "V_r1" $$unsorted)) % 0.86/1.03 (define @t351 () (@var "V_r0" $$unsorted)) % 0.86/1.03 (define @t352 () (@var "V_pwr" $$unsorted)) % 0.86/1.03 (define @t353 () (@var "V_mul" $$unsorted)) % 0.86/1.03 (define @t354 () (@var "V_add" $$unsorted)) % 0.86/1.03 (define @t355 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t354 @t353 @t352 @t351 @t350 @t5))) % 0.86/1.03 (define @t356 () (@var "V_q" $$unsorted)) % 0.86/1.03 (define @t357 () (@var "V_p" $$unsorted)) % 0.86/1.03 (define @t358 () (tptp.hAPP @t352 @t7)) % 0.86/1.03 (define @t359 () (tptp.hAPP @t358 @t356)) % 0.86/1.03 (define @t360 () (not @t35)) % 0.86/1.03 (define @t361 () (tptp.c_lessequals @t19 @t6 @t5)) % 0.86/1.03 (define @t362 () (tptp.c_lessequals @t42 @t7 @t5)) % 0.86/1.03 (define @t363 () (not @t43)) % 0.86/1.03 (define @t364 () (tptp.c_Option_Ooption_ONone @t5)) % 0.86/1.03 (define @t365 () (@var "V_a_H" $$unsorted)) % 0.86/1.03 (define @t366 () (tptp.c_Option_Ooption_OSome @t365 @t5)) % 0.86/1.03 (define @t367 () (@var "V_xa" $$unsorted)) % 0.86/1.03 (define @t368 () (@list @t132 @t131 @t5)) % 0.86/1.03 (define @t369 () (tptp.hAPP @t175 (tptp.hAPP @t219 @t7))) % 0.86/1.03 (define @t370 () (tptp.hAPP (tptp.c_Fun_Ocomp @t175 @t219 @t124 @t5 @t298) @t7)) % 0.86/1.03 (define @t371 () (@var "V_v" $$unsorted)) % 0.86/1.03 (define @t372 () (tptp.c_Fun_Ocomp @t36 @t39 @t298 @t124 @t5)) % 0.86/1.03 (define @t373 () (tptp.hAPP @t36 (tptp.hAPP @t39 @t371))) % 0.86/1.03 (define @t374 () (not (tptp.c_lessequals @t109 @t7 @t5))) % 0.86/1.03 (define @t375 () (not (tptp.c_lessequals @t109 @t10 @t5))) % 0.86/1.03 (define @t376 () (not (= @t236 @t109))) % 0.86/1.03 (define @t377 () (= @t22 @t24)) % 0.86/1.03 (define @t378 () (not (= @t214 @t24))) % 0.86/1.03 (define @t379 () (= @t302 (tptp.c_Divides_Odiv__class_Omod @t25 @t21 tptp.tc_nat))) % 0.86/1.03 (define @t380 () (@var "V_b_H" $$unsorted)) % 0.86/1.03 (define @t381 () (not (= @t222 (tptp.c_Divides_Odiv__class_Omod @t365 @t52 @t5)))) % 0.86/1.03 (define @t382 () (not (= @t221 (tptp.c_Divides_Odiv__class_Omod @t380 @t52 @t5)))) % 0.86/1.03 (define @t383 () (@list @t5 @t39 @t52 @t380 @t36 @t365)) % 0.86/1.03 (define @t384 () (tptp.c_HOL_Oord__class_Oless @t36 @t109 @t5)) % 0.86/1.03 (define @t385 () (not @t384)) % 0.86/1.03 (define @t386 () (tptp.c_HOL_Oord__class_Oless @t171 @t109 @t5)) % 0.86/1.03 (define @t387 () (not @t386)) % 0.86/1.03 (define @t388 () (not (tptp.class_Ring__and__Field_Oordered__idom @t5))) % 0.86/1.03 (define @t389 () (= @t22 @t151)) % 0.86/1.03 (define @t390 () (= @t21 @t151)) % 0.86/1.03 (define @t391 () (not (= @t151 @t214))) % 0.86/1.03 (define @t392 () (not @t72)) % 0.86/1.03 (define @t393 () (not @t348)) % 0.86/1.03 (define @t394 () (tptp.c_lessequals @t7 @t83 @t5)) % 0.86/1.03 (define @t395 () (not @t84)) % 0.86/1.03 (define @t396 () (tptp.c_lessequals @t64 @t54 tptp.tc_nat)) % 0.86/1.03 (define @t397 () (tptp.c_lessequals @t61 @t66 tptp.tc_nat)) % 0.86/1.03 (define @t398 () (@list @t61 @t54 @t62)) % 0.86/1.03 (define @t399 () (@list @t61 @t62 @t54)) % 0.86/1.03 (define @t400 () (tptp.c_HOL_Oord__class_Oless @t6 @t13 @t5)) % 0.86/1.03 (define @t401 () (not (tptp.c_Com_OWT @t280))) % 0.86/1.03 (define @t402 () (tptp.c_Com_OWT @t281)) % 0.86/1.03 (define @t403 () (not @t402)) % 0.86/1.03 (define @t404 () (tptp.c_HOL_Oord__class_Oless @t19 @t6 @t5)) % 0.86/1.03 (define @t405 () (tptp.c_lessequals @t36 @t109 @t5)) % 0.86/1.03 (define @t406 () (not @t405)) % 0.86/1.03 (define @t407 () (not (tptp.c_HOL_Oord__class_Oless @t39 @t109 @t5))) % 0.86/1.03 (define @t408 () (tptp.c_HOL_Oord__class_Oless @t216 @t109 @t5)) % 0.86/1.03 (define @t409 () (not (tptp.c_lessequals @t39 @t109 @t5))) % 0.86/1.03 (define @t410 () (tptp.hAPP @t56 @t64)) % 0.86/1.03 (define @t411 () (tptp.c_HOL_Ominus__class_Ominus @t323 @t62 tptp.tc_nat)) % 0.86/1.03 (define @t412 () (tptp.hAPP (tptp.hAPP @t55 @t64) @t54)) % 0.86/1.03 (define @t413 () (tptp.hAPP @t185 @t54)) % 0.86/1.03 (define @t414 () (tptp.c_HOL_Ominus__class_Ominus @t413 @t62 tptp.tc_nat)) % 0.86/1.03 (define @t415 () (tptp.tc_Hoare__Mirabelle_Otriple @t5)) % 0.86/1.03 (define @t416 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t415 tptp.tc_bool))) % 0.86/1.03 (define @t417 () (@var "V_G" $$unsorted)) % 0.86/1.03 (define @t418 () (tptp.hAPP @t211 @t151)) % 0.86/1.03 (define @t419 () (not (tptp.c_HOL_Oord__class_Oless @t39 @t52 @t5))) % 0.86/1.03 (define @t420 () (not (tptp.c_lessequals @t62 @t22 tptp.tc_nat))) % 0.86/1.03 (define @t421 () (not @t273)) % 0.86/1.03 (define @t422 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t62 tptp.tc_nat)) % 0.86/1.03 (define @t423 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t62 tptp.tc_nat)) % 0.86/1.03 (define @t424 () (tptp.c_lessequals @t423 @t422 tptp.tc_nat)) % 0.86/1.03 (define @t425 () (@list @t22 @t62 @t21)) % 0.86/1.03 (define @t426 () (tptp.hAPP @t185 @t62)) % 0.86/1.03 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t54 @t61 tptp.tc_nat) @t62 tptp.tc_nat)) % 0.86/1.03 (define @t428 () (@var "V_s0" $$unsorted)) % 0.86/1.03 (define @t429 () (not (tptp.hBOOL (tptp.hAPP @t39 @t428)))) % 0.86/1.03 (define @t430 () (@var "V_s2" $$unsorted)) % 0.86/1.03 (define @t431 () (tptp.c_Set_Oinsert @t7 @t103 @t5)) % 0.86/1.03 (define @t432 () (@var "V_y_H" $$unsorted)) % 0.86/1.03 (define @t433 () (@var "V_x_H" $$unsorted)) % 0.86/1.03 (define @t434 () (tptp.c_HOL_Ominus__class_Ominus @t433 @t432 @t5)) % 0.86/1.03 (define @t435 () (= @t22 @t21)) % 0.86/1.03 (define @t436 () (tptp.c_Com_Ocom_OSemi @t280 @t281)) % 0.86/1.03 (define @t437 () (tptp.c_Natural_Oevalc @t282 @t50 @t279)) % 0.86/1.03 (define @t438 () (@list @t39 @t280 @t281 @t50 @t279)) % 0.86/1.03 (define @t439 () (not (tptp.c_Natural_Oevalc @t287 @t50 @t285))) % 0.86/1.03 (define @t440 () (tptp.c_Natural_Oevalc @t281 @t50 @t285)) % 0.86/1.03 (define @t441 () (@var "V_X" $$unsorted)) % 0.86/1.03 (define @t442 () (@list @t62 @t22 @t21)) % 0.86/1.03 (define @t443 () (@var "V_pn" $$unsorted)) % 0.86/1.03 (define @t444 () (tptp.c_Com_Ocom_OBODY @t443)) % 0.86/1.03 (define @t445 () (tptp.c_Com_OWT @t444)) % 0.86/1.03 (define @t446 () (tptp.c_Com_Ocom_OBODY @t161)) % 0.86/1.03 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t7 @t83 @t5)) % 0.86/1.03 (define @t448 () (not @t14)) % 0.86/1.03 (define @t449 () (@list @t2 @t91 @t88)) % 0.86/1.03 (define @t450 () (= @t36 @t39)) % 0.86/1.03 (define @t451 () (tptp.c_Set_Oinsert @t39 @t103 @t5)) % 0.86/1.03 (define @t452 () (= @t7 @t10)) % 0.86/1.03 (define @t453 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t10 @t5)) % 0.86/1.03 (define @t454 () (not (= @t177 @t109))) % 0.86/1.03 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t42 @t7 @t5)) % 0.86/1.03 (define @t456 () (not @t167)) % 0.86/1.03 (define @t457 () (@var "V_ts" $$unsorted)) % 0.86/1.03 (define @t458 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert @t285 @t457 @t415) @t5)) % 0.86/1.03 (define @t459 () (not @t458)) % 0.86/1.03 (define @t460 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert @t285 @t416 @t415) @t5)) % 0.86/1.03 (define @t461 () (not (tptp.c_HOL_Oord__class_Oless @t109 @t39 @t5))) % 0.86/1.03 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t109 @t216 @t5)) % 0.86/1.03 (define @t463 () (tptp.hAPP @t175 @t21)) % 0.86/1.03 (define @t464 () (not (tptp.c_HOL_Oord__class_Oless @t36 @t39 tptp.tc_nat))) % 0.86/1.03 (define @t465 () (tptp.c_Com_Ocom_OWhile @t47 @t46)) % 0.86/1.03 (define @t466 () (= @t10 @t6)) % 0.86/1.03 (define @t467 () (= @t39 @t52)) % 0.86/1.03 (define @t468 () (not (= @t216 @t115))) % 0.86/1.03 (define @t469 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t5))) % 0.86/1.03 (define @t470 () (tptp.hAPP @t353 @t359)) % 0.86/1.03 (define @t471 () (tptp.hAPP @t353 @t7)) % 0.86/1.03 (define @t472 () (tptp.hAPP @t471 @t10)) % 0.86/1.03 (define @t473 () (tptp.hAPP @t354 @t10)) % 0.86/1.03 (define @t474 () (tptp.hAPP @t473 @t6)) % 0.86/1.03 (define @t475 () (tptp.hAPP @t353 @t10)) % 0.86/1.03 (define @t476 () (tptp.hAPP @t353 @t350)) % 0.86/1.03 (define @t477 () (tptp.hAPP @t353 @t351)) % 0.86/1.03 (define @t478 () (tptp.hAPP @t354 @t7)) % 0.86/1.03 (define @t479 () (tptp.hAPP @t478 @t10)) % 0.86/1.03 (define @t480 () (tptp.hAPP @t354 @t351)) % 0.86/1.03 (define @t481 () (tptp.hAPP @t354 @t36)) % 0.86/1.03 (define @t482 () (tptp.hAPP @t481 @t52)) % 0.86/1.03 (define @t483 () (tptp.hAPP @t354 @t482)) % 0.86/1.03 (define @t484 () (tptp.hAPP @t354 @t52)) % 0.86/1.03 (define @t485 () (tptp.hAPP @t484 @t181)) % 0.86/1.03 (define @t486 () (tptp.hAPP @t481 @t485)) % 0.86/1.03 (define @t487 () (@list @t354 @t36 @t52 @t181 @t353 @t352 @t351 @t350 @t5)) % 0.86/1.03 (define @t488 () (tptp.hAPP @t481 @t39)) % 0.86/1.03 (define @t489 () (tptp.hAPP @t354 @t488)) % 0.86/1.03 (define @t490 () (tptp.hAPP @t489 @t52)) % 0.86/1.03 (define @t491 () (@list @t354 @t36 @t39 @t52 @t353 @t352 @t351 @t350 @t5)) % 0.86/1.03 (define @t492 () (tptp.hAPP @t354 @t39)) % 0.86/1.03 (define @t493 () (@var "V_ry" $$unsorted)) % 0.86/1.03 (define @t494 () (@var "V_lx" $$unsorted)) % 0.86/1.03 (define @t495 () (tptp.hAPP @t353 @t494)) % 0.86/1.03 (define @t496 () (@var "V_rx" $$unsorted)) % 0.86/1.03 (define @t497 () (tptp.hAPP @t353 @t496)) % 0.86/1.03 (define @t498 () (tptp.hAPP @t497 @t493)) % 0.86/1.03 (define @t499 () (tptp.hAPP @t495 @t498)) % 0.86/1.03 (define @t500 () (@list @t353 @t494 @t496 @t493 @t354 @t352 @t351 @t350 @t5)) % 0.86/1.03 (define @t501 () (tptp.hAPP @t353 (tptp.hAPP @t495 @t496))) % 0.86/1.03 (define @t502 () (@var "V_ly" $$unsorted)) % 0.86/1.03 (define @t503 () (tptp.hAPP @t353 @t502)) % 0.86/1.03 (define @t504 () (tptp.hAPP @t353 (tptp.hAPP @t495 @t502))) % 0.86/1.03 (define @t505 () (tptp.hAPP @t504 @t496)) % 0.86/1.03 (define @t506 () (@list @t353 @t494 @t502 @t496 @t354 @t352 @t351 @t350 @t5)) % 0.86/1.03 (define @t507 () (tptp.hAPP @t504 @t498)) % 0.86/1.03 (define @t508 () (@list @t353 @t494 @t502 @t496 @t493 @t354 @t352 @t351 @t350 @t5)) % 0.86/1.03 (define @t509 () (@list @t325 @t2 @t1)) % 0.86/1.03 (define @t510 () (not (tptp.c_HOL_Oord__class_Oless @t61 @t62 tptp.tc_nat))) % 0.86/1.03 (define @t511 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)) % 0.86/1.03 (define @t512 () (tptp.hAPP @t120 @t54)) % 0.86/1.03 (define @t513 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t22 tptp.tc_nat)) % 0.86/1.03 (define @t514 () (tptp.c_Natural_Oevaln @t286 @t50 @t21 @t285)) % 0.86/1.03 (define @t515 () (tptp.c_Natural_Oevalc @t52 @t50 @t285)) % 0.86/1.03 (define @t516 () (tptp.hAPP @t161 @t21)) % 0.86/1.03 (define @t517 () (tptp.c_lessequals @t177 @t109 @t5)) % 0.86/1.03 (define @t518 () (tptp.c_HOL_Oord__class_Oless @t36 @t39 @t5)) % 0.86/1.03 (define @t519 () (not @t518)) % 0.86/1.03 (define @t520 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t181 @t5))) % 0.86/1.03 (define @t521 () (tptp.c_HOL_Oord__class_Oless @t115 @t192 @t5)) % 0.86/1.03 (define @t522 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t5))) % 0.86/1.03 (define @t523 () (@list @t7 @t10)) % 0.86/1.03 (define @t524 () (tptp.c_HOL_Oord__class_Oless @t177 @t109 @t5)) % 0.86/1.03 (define @t525 () (= @t36 @t52)) % 0.86/1.03 (define @t526 () (= @t36 @t181)) % 0.86/1.03 (define @t527 () (not (= (tptp.c_Set_Oinsert @t36 @t451 @t5) (tptp.c_Set_Oinsert @t52 (tptp.c_Set_Oinsert @t181 @t103 @t5) @t5)))) % 0.86/1.03 (define @t528 () (@list @t36 @t39 @t5 @t52 @t181)) % 0.86/1.03 (define @t529 () (= @t39 @t181)) % 0.86/1.03 (define @t530 () (tptp.c_lessequals @t115 @t251 @t5)) % 0.86/1.03 (define @t531 () (@list @t5 @t36 @t52 @t39)) % 0.86/1.03 (define @t532 () (tptp.hAPP @t257 @t39)) % 0.86/1.03 (define @t533 () (tptp.c_lessequals @t332 @t532 @t5)) % 0.86/1.03 (define @t534 () (@list @t5 @t52 @t36 @t39)) % 0.86/1.03 (define @t535 () (tptp.c_lessequals @t121 @t336 tptp.tc_nat)) % 0.86/1.03 (define @t536 () (tptp.c_Natural_Oevalc @t286 @t50 @t285)) % 0.86/1.03 (define @t537 () (@list @t54 @t61)) % 0.86/1.03 (define @t538 () (= (tptp.hAPP @t248 @t25) @t22)) % 0.86/1.03 (define @t539 () (tptp.c_Com_Ocom_OAss @t137 @t2)) % 0.86/1.03 (define @t540 () (@list @t137 @t2)) % 0.86/1.03 (define @t541 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t281 @t286)))) % 0.86/1.03 (define @t542 () (tptp.c_Com_OWT @t286)) % 0.86/1.03 (define @t543 () (tptp.hAPP (tptp.hAPP @t127 @t47) @t46)) % 0.86/1.03 (define @t544 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t47 @t46 @t5)) % 0.86/1.03 (define @t545 () (@var "V_G_H" $$unsorted)) % 0.86/1.03 (define @t546 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 @t457 @t5)) % 0.86/1.03 (define @t547 () (tptp.hAPP @t175 @t7)) % 0.86/1.03 (define @t548 () (@var "T_d" $$unsorted)) % 0.86/1.03 (define @t549 () (@var "V_h" $$unsorted)) % 0.86/1.03 (define @t550 () (not (= @t159 @t539))) % 0.86/1.03 (define @t551 () (@list @t138 @t47 @t137 @t2)) % 0.86/1.03 (define @t552 () (@list @t91 @t88)) % 0.86/1.03 (define @t553 () (@list @t5 @t39 @t36)) % 0.86/1.03 (define @t554 () (tptp.c_HOL_Oord__class_Oless @t423 @t422 tptp.tc_nat)) % 0.86/1.03 (define @t555 () (tptp.hAPP @t353 @t36)) % 0.86/1.03 (define @t556 () (tptp.hAPP @t353 @t39)) % 0.86/1.03 (define @t557 () (tptp.hAPP @t353 @t488)) % 0.86/1.03 (define @t558 () (tptp.hAPP @t354 @t22)) % 0.86/1.03 (define @t559 () (tptp.hAPP (tptp.hAPP @t353 (tptp.hAPP @t481 @t350)) @t22)) % 0.86/1.03 (define @t560 () (tptp.hAPP @t555 @t22)) % 0.86/1.03 (define @t561 () (tptp.hAPP @t354 @t560)) % 0.86/1.03 (define @t562 () (tptp.c_Divides_Odiv__class_Omod @t215 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t563 () (tptp.hAPP tptp.c_Suc @t302)) % 0.86/1.03 (define @t564 () (= @t563 @t21)) % 0.86/1.03 (define @t565 () (not (= @t214 @t151))) % 0.86/1.03 (define @t566 () (not (tptp.c_Orderings_Oorder__class_Omono @t175 @t5 @t124))) % 0.86/1.03 (define @t567 () (tptp.hAPP @t175 @t22)) % 0.86/1.03 (define @t568 () (not (tptp.class_Orderings_Olinorder @t124))) % 0.86/1.03 (define @t569 () (@list @t5 @t124 @t175 @t22 @t21)) % 0.86/1.03 (define @t570 () (not (= @t465 @t3))) % 0.86/1.03 (define @t571 () (@list @t47 @t46 @t2 @t1)) % 0.86/1.03 (define @t572 () (= @t46 @t1)) % 0.86/1.03 (define @t573 () (tptp.c_Orderings_Oord__class_Omax @t10 @t7 @t5)) % 0.86/1.03 (define @t574 () (tptp.c_Com_OWT @t52)) % 0.86/1.03 (define @t575 () (not @t574)) % 0.86/1.03 (define @t576 () (tptp.c_Com_OWT @t53)) % 0.86/1.03 (define @t577 () (tptp.hAPP @t175 @t10)) % 0.86/1.03 (define @t578 () (@var "V_Y" $$unsorted)) % 0.86/1.03 (define @t579 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t578 @t36 @t52))) % 0.86/1.03 (define @t580 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t54 tptp.tc_nat)) % 0.86/1.03 (define @t581 () (@list @t21 @t54)) % 0.86/1.03 (define @t582 () (tptp.c_Orderings_Oord__class_Omax @t7 @t77 @t5)) % 0.86/1.03 (define @t583 () (tptp.c_Orderings_Oord__class_Omax @t7 @t6 @t5)) % 0.86/1.03 (define @t584 () (= (tptp.hAPP @t208 @t36) @t36)) % 0.86/1.03 (define @t585 () (= (tptp.hAPP @t114 @t109) @t36)) % 0.86/1.03 (define @t586 () (not (tptp.class_OrderedGroup_Omonoid__add @t5))) % 0.86/1.03 (define @t587 () (= @t285 @t50)) % 0.86/1.03 (define @t588 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t128 @t47) @t93) @t89)) % 0.86/1.03 (define @t589 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t47 @t93 @t89 @t5)) % 0.86/1.03 (define @t590 () (not @t262)) % 0.86/1.03 (define @t591 () (tptp.c_HOL_Oord__class_Oless @t109 @t171 @t5)) % 0.86/1.03 (define @t592 () (not (tptp.c_Natural_Oevaln @t52 @t50 @t21 @t285))) % 0.86/1.03 (define @t593 () (tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__3 @t161 @t296 @t52 @t21)) % 0.86/1.03 (define @t594 () (tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__2 @t161 @t296 @t52 @t21)) % 0.86/1.03 (define @t595 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 @t52 @t296 tptp.t_a) tptp.t_a)) % 0.86/1.03 (define @t596 () (@list @t21 @t161 @t52 @t296)) % 0.86/1.03 (define @t597 () (tptp.hBOOL (tptp.c_in @t36 @t104 @t5))) % 0.86/1.03 (define @t598 () (not @t597)) % 0.86/1.03 (define @t599 () (tptp.hBOOL (tptp.c_in @t36 (tptp.c_Set_Oinsert @t39 @t104 @t5) @t5))) % 0.86/1.03 (define @t600 () (@var "V_B" $$unsorted)) % 0.86/1.03 (define @t601 () (not (tptp.hBOOL (tptp.c_in @t7 @t103 @t5)))) % 0.86/1.03 (define @t602 () (@list @t7 @t5)) % 0.86/1.03 (define @t603 () (@list @t161 @t7 @t5)) % 0.86/1.03 (define @t604 () (tptp.c_Set_Oinsert @t7 @t600 @t5)) % 0.86/1.03 (define @t605 () (not @t176)) % 0.86/1.03 (define @t606 () (tptp.hBOOL (tptp.c_in @t7 @t104 @t5))) % 0.86/1.03 (define @t607 () (not @t606)) % 0.86/1.03 (define @t608 () (not (tptp.hBOOL (tptp.c_in @t10 @t104 @t5)))) % 0.86/1.03 (define @t609 () (not (= @t547 @t577))) % 0.86/1.03 (define @t610 () (@list @t175 @t7 @t10 @t104 @t5 @t124)) % 0.86/1.03 (define @t611 () (tptp.c_lessequals @t198 @t215 tptp.tc_nat)) % 0.86/1.03 (define @t612 () (tptp.c_HOL_Oord__class_Oless @t215 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t613 () (tptp.c_lessequals @t22 @t198 tptp.tc_nat)) % 0.86/1.03 (define @t614 () (tptp.hAPP @t471 @t359)) % 0.86/1.03 (define @t615 () (tptp.hAPP @t358 (tptp.hAPP tptp.c_Suc @t356))) % 0.86/1.03 (define @t616 () (@var "V_inc" $$unsorted)) % 0.86/1.03 (define @t617 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t5))) % 0.86/1.03 (define @t618 () (not (= @t49 @t326))) % 0.86/1.03 (define @t619 () (@list @t48 @t47 @t46 @t325 @t2 @t1)) % 0.86/1.03 (define @t620 () (tptp.c_lessequals @t171 @t109 @t5)) % 0.86/1.03 (define @t621 () (@list @t137 @t140 @t2)) % 0.86/1.03 (define @t622 () (tptp.c_HOL_Oord__class_Oless @t54 @t64 tptp.tc_nat)) % 0.86/1.03 (define @t623 () (tptp.c_HOL_Oord__class_Oless @t66 @t61 tptp.tc_nat)) % 0.86/1.03 (define @t624 () (@var "V_one" $$unsorted)) % 0.86/1.03 (define @t625 () (@var "V_times" $$unsorted)) % 0.86/1.03 (define @t626 () (tptp.c_HOL_Oord__class_Oless @t115 @t251 @t5)) % 0.86/1.03 (define @t627 () (tptp.c_HOL_Oord__class_Oless @t332 @t532 @t5)) % 0.86/1.03 (define @t628 () (tptp.c_HOL_Oord__class_Oless @t121 @t336 tptp.tc_nat)) % 0.86/1.03 (define @t629 () (tptp.hBOOL @t516)) % 0.86/1.03 (define @t630 () (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Divides_Odiv__class_Omod @t21 @t24 tptp.tc_nat)))) % 0.86/1.03 (define @t631 () (@list @t161 @t21)) % 0.86/1.03 (define @t632 () (tptp.c_Orderings_Oord__class_Omin @t22 @t21 tptp.tc_nat)) % 0.86/1.03 (define @t633 () (tptp.c_HOL_Oord__class_Oless @t21 @t215 tptp.tc_nat)) % 0.86/1.03 (define @t634 () (not @t633)) % 0.86/1.03 (define @t635 () (= @t21 @t22)) % 0.86/1.03 (define @t636 () (@var "T_e" $$unsorted)) % 0.86/1.03 (define @t637 () (@var "V_g_H" $$unsorted)) % 0.86/1.03 (define @t638 () (@var "V_f_H" $$unsorted)) % 0.86/1.03 (define @t639 () (tptp.c_HOL_Oord__class_Oless @t24 @t513 tptp.tc_nat)) % 0.86/1.03 (define @t640 () (tptp.c_Orderings_Oord__class_Omin @t13 @t583 @t5)) % 0.86/1.03 (define @t641 () (tptp.c_Orderings_Oord__class_Omax @t7 @t34 @t5)) % 0.86/1.03 (define @t642 () (tptp.c_lessequals @t432 @t433 @t5)) % 0.86/1.03 (define @t643 () (not (= @t453 @t434))) % 0.86/1.03 (define @t644 () (@list @t5 @t7 @t10 @t433 @t432)) % 0.86/1.03 (define @t645 () (tptp.c_HOL_Oord__class_Oless @t433 @t432 @t5)) % 0.86/1.03 (define @t646 () (tptp.hAPP tptp.c_Suc @t54)) % 0.86/1.03 (define @t647 () (tptp.c_HOL_Oord__class_Oless @t39 @t36 @t5)) % 0.86/1.03 (define @t648 () (not (tptp.c_Com_OWT @t287))) % 0.86/1.03 (define @t649 () (not @t647)) % 0.86/1.03 (define @t650 () (@var "V_nat_H" $$unsorted)) % 0.86/1.03 (define @t651 () (tptp.hAPP tptp.c_Suc @t650)) % 0.86/1.03 (define @t652 () (@list @t650)) % 0.86/1.03 (define @t653 () (@var "V_s_H" $$unsorted)) % 0.86/1.03 (define @t654 () (not (tptp.c_Natural_Oevaln @t52 @t50 @t21 @t653))) % 0.86/1.03 (define @t655 () (@var "V_nat" $$unsorted)) % 0.86/1.03 (define @t656 () (tptp.hAPP @t131 @t655)) % 0.86/1.03 (define @t657 () (tptp.hAPP tptp.c_Suc @t655)) % 0.86/1.03 (define @t658 () (@list @t132 @t131 @t655 @t5)) % 0.86/1.03 (define @t659 () (@var "V_N" $$unsorted)) % 0.86/1.03 (define @t660 () (tptp.hAPP tptp.c_Suc @t214)) % 0.86/1.03 (define @t661 () (tptp.hAPP (tptp.hAPP @t55 @t215) @t21)) % 0.86/1.03 (define @t662 () (tptp.hAPP @t58 @t198)) % 0.86/1.03 (define @t663 () (tptp.c_HOL_Oord__class_Oless @t215 @t198 tptp.tc_nat)) % 0.86/1.03 (define @t664 () (not (tptp.c_Natural_Oevaln @t446 @t50 @t21 @t279))) % 0.86/1.03 (define @t665 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t161 @t21 @t50 @t279)) % 0.86/1.03 (define @t666 () (@list @t175 @t219 @t298 @t124)) % 0.86/1.03 (define @t667 () (tptp.c_Com_Ocom_OBODY @t140)) % 0.86/1.03 (define @t668 () (@list @t140)) % 0.86/1.03 (define @t669 () (tptp.hAPP @t126 @t142)) % 0.86/1.03 (define @t670 () (tptp.c_Com_Ocom_OBODY @t142)) % 0.86/1.03 (define @t671 () (@list @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t142 @t5)) % 0.86/1.03 (define @t672 () (@var "V_xc" $$unsorted)) % 0.86/1.03 (define @t673 () (@var "V_xb" $$unsorted)) % 0.86/1.03 (define @t674 () (@var "V_fun2" $$unsorted)) % 0.86/1.03 (define @t675 () (@var "V_fun1" $$unsorted)) % 0.86/1.03 (define @t676 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t132 @t675) @t46) @t674)) % 0.86/1.03 (define @t677 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t675 @t46 @t674 @t124)) % 0.86/1.03 (define @t678 () (@list @t132 @t675 @t46 @t674 @t124 @t5)) % 0.86/1.03 (define @t679 () (tptp.v_sko__Hoare__Mirabelle__Xtriple__valid__def2__1 @t161 @t296 @t52 @t21)) % 0.86/1.03 (define @t680 () (tptp.c_Com_Obody @t443)) % 0.86/1.03 (define @t681 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 0.86/1.03 (define @t682 () (tptp.hAPP tptp.v_P tptp.v_R)) % 0.86/1.03 (define @t683 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t417 @t457 tptp.t_a)) % 0.86/1.03 (define @t684 () (not @t683)) % 0.86/1.03 (define @t685 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.86/1.03 (define @t686 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 @t417 @t21)) % 0.86/1.03 (define @t687 () (@var "V_na" $$unsorted)) % 0.86/1.03 (define @t688 () (@var "V_nb" $$unsorted)) % 0.86/1.03 (define @t689 () (tptp.c_Option_Othe @t680 tptp.tc_Com_Ocom)) % 0.86/1.03 (define @t690 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 @t689 @t296 @t5)) % 0.86/1.03 (define @t691 () (tptp.c_Set_Oinsert @t690 @t416 @t415)) % 0.86/1.03 (define @t692 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 @t444 @t296 @t5)) % 0.86/1.03 (define @t693 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert @t692 @t416 @t415) @t5)) % 0.86/1.03 (define @t694 () (@list @t417 @t161 @t443 @t296 @t5)) % 0.86/1.03 (define @t695 () (tptp.c_Option_Othe (tptp.c_Com_Obody @t161) tptp.tc_Com_Ocom)) % 0.86/1.03 (define @t696 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.86/1.03 (define @t697 () (@var "V_Z" $$unsorted)) % 0.86/1.03 (define @t698 () (tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 @t21 @t457)) % 0.86/1.03 (define @t699 () (@var "V_fun2_H" $$unsorted)) % 0.86/1.03 (define @t700 () (@var "V_fun1_H" $$unsorted)) % 0.86/1.03 (define @t701 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t675 @t46 @t674 @t5) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t700 @t1 @t699 @t5)))) % 0.86/1.03 (define @t702 () (@list @t675 @t46 @t674 @t5 @t700 @t1 @t699)) % 0.86/1.03 (define @t703 () (@var "V_S" $$unsorted)) % 0.86/1.03 (define @t704 () (tptp.hBOOL (tptp.hAPP @t703 @t7))) % 0.86/1.03 (define @t705 () (tptp.hBOOL (tptp.c_in @t7 @t703 @t5))) % 0.86/1.03 (define @t706 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t690 @t5)) % 0.86/1.03 (define @t707 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t198 @t692 @t5)) % 0.86/1.03 (define @t708 () (@list @t21 @t161 @t443 @t296 @t5)) % 0.86/1.03 (define @t709 () (tptp.hBOOL (tptp.c_in tptp.v_x tptp.v_Procs tptp.tc_Com_Opname))) % 0.86/1.03 (define @t710 () (tptp.hAPP tptp.v_Q tptp.v_x)) % 0.86/1.03 (define @t711 () (tptp.hAPP tptp.v_P tptp.v_x)) % 0.86/1.03 (define @t712 () (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.hAPP tptp.c_Suc tptp.v_na) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t711 (tptp.c_Com_Ocom_OBODY tptp.v_x) @t710 tptp.t_a) tptp.t_a)) % 0.86/1.03 (define @t713 () (not (tptp.hBOOL (tptp.c_in @t7 tptp.v_Procs tptp.tc_Com_Opname)))) % 0.86/1.03 (define @t714 () (tptp.hAPP tptp.v_Q @t7)) % 0.86/1.03 (define @t715 () (tptp.hAPP tptp.v_P @t7)) % 0.86/1.03 (define @t716 () (@var "T_1" $$unsorted)) % 0.86/1.03 (define @t717 () (@var "T_2" $$unsorted)) % 0.86/1.03 (define @t718 () (tptp.tc_fun @t717 @t716)) % 0.86/1.03 (define @t719 () (@list @t717 @t716)) % 0.86/1.03 (define @t720 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_na (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t711 (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_x) tptp.tc_Com_Ocom) @t710 tptp.t_a) tptp.t_a)) % 0.86/1.03 (define @t721 () (not @t720)) % 0.86/1.03 (define @t722 () (or @t712 @t721)) % 0.86/1.03 (define @t723 () (not @t709)) % 0.86/1.03 (define @t724 () (or @t720 @t723)) % 0.86/1.03 (assume @p1 (forall @t4 (not (= @t3 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p2 (forall @t16 (or @t15 @t14 @t12 @t9))) % 0.86/1.03 (assume @p3 (forall @t16 (or @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t6 @t5) (tptp.c_Orderings_Oord__class_Omin @t18 @t17 @t5))))) % 0.86/1.03 (assume @p4 (forall @t28 (or @t27 @t23))) % 0.86/1.03 (assume @p5 (forall @t28 (or @t26 @t29))) % 0.86/1.03 (assume @p6 (forall @t16 (or @t15 @t35 @t33 @t31))) % 0.86/1.03 (assume @p7 (forall @t44 (or @t15 @t43 @t41 @t38))) % 0.86/1.03 (assume @p8 (forall @t45 (or @t15 (tptp.c_lessequals @t19 @t10 @t5)))) % 0.86/1.03 (assume @p9 (forall @t45 (or @t15 (tptp.c_lessequals @t19 @t7 @t5)))) % 0.86/1.03 (assume @p10 (forall (@list @t2 @t1 @t48 @t47 @t46) (not (= @t3 @t49)))) % 0.86/1.03 (assume @p11 (forall (@list @t39 @t52 @t50) (or (tptp.c_Natural_Oevalc @t53 @t50 @t50) @t51))) % 0.86/1.03 (assume @p12 (forall @t57 (tptp.c_HOL_Oord__class_Oless @t54 (tptp.hAPP tptp.c_Suc (tptp.hAPP @t56 @t22)) tptp.tc_nat))) % 0.86/1.03 (assume @p13 (forall @t57 (tptp.c_HOL_Oord__class_Oless @t54 (tptp.hAPP tptp.c_Suc (tptp.hAPP @t58 @t54)) tptp.tc_nat))) % 0.86/1.03 (assume @p14 (forall @t60 (tptp.c_HOL_Oord__class_Oless @t22 (tptp.hAPP tptp.c_Suc @t59) tptp.tc_nat))) % 0.86/1.03 (assume @p15 (forall @t68 (or @t67 (not @t65) @t63))) % 0.86/1.03 (assume @p16 (forall @t69 (or @t65 (not @t67) @t63))) % 0.86/1.03 (assume @p17 (forall @t16 (or @t15 @t72 @t71 @t33))) % 0.86/1.03 (assume @p18 (forall @t78 (or @t15 (tptp.c_lessequals @t77 @t7 @t5) @t76 @t74))) % 0.86/1.03 (assume @p19 (forall @t85 (or @t15 @t84 @t82 @t80))) % 0.86/1.03 (assume @p20 (forall @t45 (or @t15 (tptp.c_lessequals @t7 @t13 @t5)))) % 0.86/1.03 (assume @p21 (forall @t86 (or @t15 (tptp.c_lessequals @t10 @t13 @t5)))) % 0.86/1.03 (assume @p22 (forall @t87 (or (not (tptp.class_Orderings_Obot @t5)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t5) @t7 @t5)))) % 0.86/1.03 (assume @p23 (forall @t96 (or @t95 @t90))) % 0.86/1.03 (assume @p24 (forall @t96 (or @t95 @t97))) % 0.86/1.03 (assume @p25 (forall (@list @t93 @t89 @t2 @t1) (not (= @t94 @t3)))) % 0.86/1.03 (assume @p26 (forall @t78 (or @t15 (= (tptp.c_Orderings_Oord__class_Omin @t77 @t7 @t5) (tptp.c_Orderings_Oord__class_Omax @t98 (tptp.c_Orderings_Oord__class_Omin @t6 @t7 @t5) @t5))))) % 0.86/1.03 (assume @p27 (forall @t16 (or @t15 (= @t101 @t100)))) % 0.86/1.03 (assume @p28 (forall (@list @t93 @t89 @t2 @t91 @t88) (not (= @t94 @t102)))) % 0.86/1.03 (assume @p29 (forall @t106 (not (= @t105 @t103)))) % 0.86/1.03 (assume @p30 (forall (@list @t91 @t88 @t48 @t47 @t46) (not (= @t92 @t49)))) % 0.86/1.03 (assume @p31 (forall @t108 (tptp.c_Fun_Oinj__on @t107 @t104 @t5 @t5))) % 0.86/1.03 (assume @p32 (forall @t119 (or @t118 @t117 @t116 @t112 @t111))) % 0.86/1.03 (assume @p33 (forall (@list @t61 @t62 @t22) (or (= (tptp.c_HOL_Ominus__class_Ominus @t123 @t22 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t122 @t121 tptp.tc_nat)) @t63))) % 0.86/1.03 (assume @p34 (forall (@list @t124) (or (not (tptp.class_Orderings_Obot @t124)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a @t124)) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t124))))) % 0.86/1.03 (assume @p35 (forall @t136 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t94 @t5) (tptp.hAPP (tptp.hAPP @t135 @t134) @t133)))) % 0.86/1.03 (assume @p36 (forall @t145 (or @t144 @t139))) % 0.86/1.03 (assume @p37 (forall @t145 (or @t144 @t146))) % 0.86/1.03 (assume @p38 (forall @t145 (or @t144 @t147))) % 0.86/1.03 (assume @p39 (forall @t119 (or @t118 @t117 @t150 @t112 @t149))) % 0.86/1.03 (assume @p40 (= @t152 @t151)) % 0.86/1.03 (assume @p41 (forall @t155 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t153 @t39 @t5) @t153)))) % 0.86/1.03 (assume @p42 (forall @t158 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t49 @t5) (tptp.hAPP @t157 @t156)))) % 0.86/1.03 (assume @p43 (forall (@list @t138 @t47 @t91 @t88) (not (= @t159 @t92)))) % 0.86/1.03 (assume @p44 (forall @t160 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 tptp.c_Com_Ocom_OSKIP @t5) @t132))) % 0.86/1.03 (assume @p45 (forall (@list @t161 @t132 @t131) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Nat_Onat_Onat__case @t132 @t131 @t24 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t161 @t132))))) % 0.86/1.03 (assume @p46 (forall @t162 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t109 @t36 @t5) @t109)))) % 0.86/1.03 (assume @p47 (forall @t168 (or @t15 @t167 @t166 @t164))) % 0.86/1.03 (assume @p48 (forall @t170 (or @t169 (not (tptp.c_HOL_Oord__class_Oless @t21 @t151 tptp.tc_nat))))) % 0.86/1.03 (assume @p49 (forall @t162 (or @t173 @t110 (not @t172)))) % 0.86/1.03 (assume @p50 (forall @t162 (or @t173 @t172 @t111))) % 0.86/1.03 (assume @p51 (forall (@list @t48 @t47 @t46 @t2 @t91 @t88) (not (= @t49 @t102)))) % 0.86/1.03 (assume @p52 (forall @t45 (or @t15 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t19 @t5) @t19)))) % 0.86/1.03 (assume @p53 (forall (@list @t47 @t93 @t89 @t137 @t140 @t2) (not (= @t174 @t141)))) % 0.86/1.03 (assume @p54 (forall (@list @t175 @t104 @t5 @t124 @t36) (or @t176 (not (tptp.c_Fun_Oinj__on @t175 @t105 @t5 @t124))))) % 0.86/1.03 (assume @p55 (forall (@list @t39 @t52 @t50 @t21) (or (tptp.c_Natural_Oevaln @t53 @t50 @t21 @t50) @t51))) % 0.86/1.03 (assume @p56 (forall @t155 (or @t178 (= (tptp.hAPP (tptp.hAPP @t113 @t177) @t39) @t36)))) % 0.86/1.03 (assume @p57 (forall (@list @t161 @t39 @t7) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t180 @t7) @t39 tptp.tc_nat)))) @t179))) % 0.86/1.03 (assume @p58 (forall (@list @t161 @t39 @t181) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t180 @t181) @t39 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t161 @t181))))) % 0.86/1.03 (assume @p59 (forall (@list @t39 @t36 @t5) (or (= @t39 @t36) (not (tptp.hBOOL (tptp.c_in @t39 @t182 @t5)))))) % 0.86/1.03 (assume @p60 (forall @t187 (or (tptp.c_lessequals @t66 @t186 tptp.tc_nat) (not (tptp.c_lessequals @t62 @t184 tptp.tc_nat)) @t183))) % 0.86/1.03 (assume @p61 (forall @t194 (or @t193 (tptp.c_lessequals @t115 @t192 @t5) @t190 @t189))) % 0.86/1.03 (assume @p62 (forall @t200 (or @t117 (= @t199 @t197)))) % 0.86/1.03 (assume @p63 (forall @t200 (or @t117 (= @t199 @t201)))) % 0.86/1.03 (assume @p64 (forall @t28 (or @t202 @t29))) % 0.86/1.03 (assume @p65 (forall @t28 (or @t23 @t203))) % 0.86/1.03 (assume @p66 (forall @t207 (or (not @t206) @t205))) % 0.86/1.03 (assume @p67 (forall @t210 (or @t173 @t209))) % 0.86/1.03 (assume @p68 (= (tptp.hAPP @t211 @t24) @t24)) % 0.86/1.03 (assume @p69 (forall @t210 (or @t213 @t212 @t212 @t209))) % 0.86/1.03 (assume @p70 (forall (@list @t5 @t36 @t22 @t21) (or @t117 (= (tptp.c_Power_Opower_Opower @t109 @t113 @t36 @t214 @t5) (tptp.hAPP (tptp.hAPP @t113 (tptp.c_Power_Opower_Opower @t109 @t113 @t36 @t22 @t5)) @t195))))) % 0.86/1.03 (assume @p71 (forall @t28 (tptp.c_HOL_Oord__class_Oless @t25 @t215 tptp.tc_nat))) % 0.86/1.03 (assume @p72 (forall (@list @t5 @t36 @t39 @t21) (or @t117 (= (tptp.c_Power_Opower_Opower @t109 @t113 @t216 @t21 @t5) (tptp.hAPP @t196 (tptp.c_Power_Opower_Opower @t109 @t113 @t39 @t21 @t5)))))) % 0.86/1.03 (assume @p73 (forall @t218 (= (tptp.c_Fun_Ocomp @t175 @t217 @t5 @t124 @t5) @t175))) % 0.86/1.03 (assume @p74 (forall (@list @t124 @t219 @t5) (= (tptp.c_Fun_Ocomp @t220 @t219 @t124 @t124 @t5) @t219))) % 0.86/1.03 (assume @p75 (forall @t225 (or @t154 (= @t224 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t223 @t221) @t52 @t5))))) % 0.86/1.03 (assume @p76 (forall @t155 (or @t213 (tptp.c_lessequals @t109 @t216 @t5) @t226 @t111))) % 0.86/1.03 (assume @p77 (forall @t230 (or @t229 @t8 @t12 @t228))) % 0.86/1.03 (assume @p78 (forall @t168 (or @t233 @t163 @t166 @t232))) % 0.86/1.03 (assume @p79 (forall (@list @t137 @t140 @t2 @t93 @t89) (not (= @t141 @t94)))) % 0.86/1.03 (assume @p80 (forall @t45 (or @t15 @t234 @t31))) % 0.86/1.03 (assume @p81 (forall @t45 (or @t15 (not @t234) @t30))) % 0.86/1.03 (assume @p82 (forall @t45 (or @t15 (= @t13 @t7) @t74))) % 0.86/1.03 (assume @p83 (forall @t16 (or @t240 (= @t239 (tptp.hAPP (tptp.hAPP @t113 @t236) @t6))))) % 0.86/1.03 (assume @p84 (forall @t16 (or @t242 (= @t239 (tptp.hAPP @t237 @t241))))) % 0.86/1.03 (assume @p85 (forall @t247 (= (tptp.hAPP @t243 @t246) (tptp.hAPP @t245 @t244)))) % 0.86/1.03 (assume @p86 (forall @t250 (= (tptp.hAPP (tptp.hAPP @t55 @t214) @t62) (tptp.hAPP @t58 @t249)))) % 0.86/1.03 (assume @p87 (forall @t225 (or @t117 @t255))) % 0.86/1.03 (assume @p88 (forall @t225 (or @t117 (= @t252 (tptp.hAPP @t191 @t115))))) % 0.86/1.03 (assume @p89 (forall @t225 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t5)) @t255))) % 0.86/1.03 (assume @p90 (forall @t260 (or @t240 (= @t259 (tptp.hAPP @t256 @t181))))) % 0.86/1.03 (assume @p91 (forall @t225 (or @t240 (= @t254 (tptp.hAPP @t256 @t39))))) % 0.86/1.03 (assume @p92 (forall @t260 (or @t240 (= @t259 (tptp.hAPP @t257 (tptp.hAPP @t114 @t181)))))) % 0.86/1.03 (assume @p93 (forall @t225 (or @t240 @t255))) % 0.86/1.03 (assume @p94 (forall @t264 (or @t263 @t262 (not @t261)))) % 0.86/1.03 (assume @p95 (forall @t265 (not (tptp.c_HOL_Oord__class_Oless @t22 @t24 tptp.tc_nat)))) % 0.86/1.03 (assume @p96 (forall @t170 (not (tptp.c_HOL_Oord__class_Oless @t21 @t24 tptp.tc_nat)))) % 0.86/1.03 (assume @p97 (forall (@list @t5 @t7 @t10 @t6 @t266) (or @t242 (not (= @t239 (tptp.hAPP @t237 @t266))) (= @t241 @t266)))) % 0.86/1.03 (assume @p98 (forall @t108 (tptp.c_Fun_Oinj__on @t217 @t104 @t5 @t5))) % 0.86/1.03 (assume @p99 (forall @t268 (or (tptp.c_lessequals @t54 @t267 tptp.tc_nat) @t183))) % 0.86/1.03 (assume @p100 (forall @t270 (or (tptp.c_lessequals @t54 @t269 tptp.tc_nat) @t183))) % 0.86/1.03 (assume @p101 (forall (@list @t62 @t21 @t22) (or @t273 @t272))) % 0.86/1.03 (assume @p102 (forall @t250 (or @t23 @t272))) % 0.86/1.03 (assume @p103 (forall @t247 (or @t274 (not (tptp.c_lessequals @t7 @t6 tptp.tc_nat))))) % 0.86/1.03 (assume @p104 (forall @t247 (or @t274 (not @t275)))) % 0.86/1.03 (assume @p105 (forall @t277 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t143 @t5) @t276))) % 0.86/1.03 (assume @p106 (forall @t284 (or @t283 (not (tptp.c_Natural_Oevaln @t280 @t50 @t21 @t279)) @t278))) % 0.86/1.03 (assume @p107 (forall (@list @t39 @t50 @t281 @t21 @t285 @t286) (or @t278 @t289 @t288))) % 0.86/1.03 (assume @p108 (forall @t225 (or @t291 (= @t290 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t222 @t39 @t5) @t52 @t5))))) % 0.86/1.03 (assume @p109 (forall @t225 (or @t291 (= @t290 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t36 @t221 @t5) @t52 @t5))))) % 0.86/1.03 (assume @p110 (forall (@list @t7 @t10 @t104 @t5) (= (tptp.c_Set_Oinsert @t7 @t293 @t5) (tptp.c_Set_Oinsert @t10 @t292 @t5)))) % 0.86/1.03 (assume @p111 (forall @t45 (or @t15 @t294 @t31))) % 0.86/1.03 (assume @p112 (forall @t45 (or @t15 (not @t294) @t30))) % 0.86/1.03 (assume @p113 (forall @t45 (or @t15 (= @t19 @t10) @t74))) % 0.86/1.03 (assume @p114 (forall @t16 (or @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t6 @t5) (tptp.c_Orderings_Oord__class_Omax @t18 @t17 @t5))))) % 0.86/1.03 (assume @p115 (forall (@list @t161 @t296 @t295 @t124 @t5 @t298) (= (tptp.c_COMBB @t161 @t296 @t295 @t124 @t5 @t298) (tptp.hAPP @t161 @t297)))) % 0.86/1.03 (assume @p116 (forall @t300 (= (tptp.c_COMBC @t161 @t296 @t295 @t124 @t298 @t5) (tptp.hAPP @t299 @t296)))) % 0.86/1.03 (assume @p117 (forall (@list @t5 @t161) (= (tptp.hAPP @t107 @t161) @t161))) % 0.86/1.03 (assume @p118 (forall (@list @t161 @t5 @t124 @t296) (= (tptp.hAPP (tptp.c_COMBK @t161 @t5 @t124) @t296) @t161))) % 0.86/1.03 (assume @p119 (forall @t300 (= (tptp.c_COMBS @t161 @t296 @t295 @t124 @t298 @t5) (tptp.hAPP @t299 @t297)))) % 0.86/1.03 (assume @p120 (forall @t28 (or (tptp.c_HOL_Oord__class_Oless @t302 @t21 tptp.tc_nat) @t301))) % 0.86/1.03 (assume @p121 (forall @t304 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t159 @t5) @t303))) % 0.86/1.03 (assume @p122 (forall @t45 (or @t15 @t227 @t73))) % 0.86/1.03 (assume @p123 (forall @t87 (or @t15 (not @t307) @t306))) % 0.86/1.03 (assume @p124 (forall @t87 (or @t15 @t305 @t307))) % 0.86/1.03 (assume @p125 (forall @t45 (or @t15 @t228 @t74))) % 0.86/1.03 (assume @p126 (forall @t86 (or @t15 @t73 @t227))) % 0.86/1.03 (assume @p127 (forall @t45 (or @t15 @t31 @t232))) % 0.86/1.03 (assume @p128 (forall @t86 (or @t15 @t231 @t30))) % 0.86/1.03 (assume @p129 (forall @t86 (or @t229 @t74 @t228))) % 0.86/1.03 (assume @p130 (forall @t225 (or @t154 (= @t224 @t308)))) % 0.86/1.03 (assume @p131 (forall @t225 (or @t154 (= @t224 @t309)))) % 0.86/1.03 (assume @p132 (forall @t16 (or @t15 (= (tptp.c_Orderings_Oord__class_Omin @t19 @t6 @t5) @t310)))) % 0.86/1.03 (assume @p133 (forall @t119 (or @t118 @t117 @t116 @t311 (not (tptp.c_lessequals @t109 @t52 @t5))))) % 0.86/1.03 (assume @p134 (forall @t28 (or @t314 @t313))) % 0.86/1.03 (assume @p135 (forall @t28 (or @t312 @t315))) % 0.86/1.03 (assume @p136 (forall @t264 (or @t317 (not @t316)))) % 0.86/1.03 (assume @p137 (forall @t264 (or @t316 @t318))) % 0.86/1.03 (assume @p138 (forall @t319 (= (tptp.c_Set_Oinsert @t7 @t292 @t5) @t292))) % 0.86/1.03 (assume @p139 (forall @t247 (or @t322 @t321))) % 0.86/1.03 (assume @p140 (forall @t247 (or @t322 (not (tptp.c_HOL_Oord__class_Oless @t7 @t6 tptp.tc_nat))))) % 0.86/1.03 (assume @p141 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t54 @t62 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t323 @t62 tptp.tc_nat))))) % 0.86/1.03 (assume @p142 (forall @t270 (or (tptp.c_HOL_Oord__class_Oless @t54 @t269 tptp.tc_nat) @t324))) % 0.86/1.03 (assume @p143 (forall @t268 (or (tptp.c_HOL_Oord__class_Oless @t54 @t267 tptp.tc_nat) @t324))) % 0.86/1.03 (assume @p144 (forall (@list @t325 @t2 @t1 @t138 @t47) (not (= @t326 @t159)))) % 0.86/1.03 (assume @p145 (forall (@list @t104 @t7 @t10 @t5) (or @t328 (= @t10 @t7) (not @t327)))) % 0.86/1.03 (assume @p146 (forall (@list @t47 @t93 @t89 @t2 @t1) (not (= @t174 @t3)))) % 0.86/1.03 (assume @p147 (forall @t28 (or (= @t331 (tptp.hAPP tptp.c_Suc @t25)) @t330))) % 0.86/1.03 (assume @p148 (forall (@list @t2 @t91 @t88 @t48 @t47 @t46) (not (= @t102 @t49)))) % 0.86/1.03 (assume @p149 (forall @t162 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t36 @t109 @t5) @t36)))) % 0.86/1.03 (assume @p150 (forall @t162 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t36 @t36 @t5) @t109)))) % 0.86/1.03 (assume @p151 (forall (@list @t5 @t36 @t52) (or @t240 (= @t115 @t332)))) % 0.86/1.03 (assume @p152 (forall @t155 (or @t117 (= @t216 @t333)))) % 0.86/1.03 (assume @p153 (forall @t28 (= @t214 @t334))) % 0.86/1.03 (assume @p154 (forall (@list @t22 @t184 @t62 @t21) (or (not (= (tptp.hAPP @t58 @t184) @t336)) @t335 @t312))) % 0.86/1.03 (assume @p155 (forall @t45 (or @t240 (= @t236 (tptp.hAPP @t237 @t7))))) % 0.86/1.03 (assume @p156 (forall @t28 (or (tptp.c_lessequals @t302 @t21 tptp.tc_nat) @t301))) % 0.86/1.03 (assume @p157 (forall (@list @t52 @t124 @t298 @t175) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t52 @t124 @t298) @t175 @t298 @t124 tptp.t_a) tptp.v_x) @t52))) % 0.86/1.03 (assume @p158 (forall @t339 (or (tptp.c_HOL_Oord__class_Oless @t338 @t337 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t22 @t184 tptp.tc_nat)) @t313))) % 0.86/1.03 (assume @p159 (forall (@list @t2 @t91 @t88 @t93 @t89) (not (= @t102 @t94)))) % 0.86/1.03 (assume @p160 (forall (@list @t5 @t7 @t36) (or @t342 @t341 (not (= @t7 (tptp.hAPP @t235 @t36))) @t340))) % 0.86/1.03 (assume @p161 (forall @t28 (or (not (= @t214 @t22)) @t169))) % 0.86/1.03 (assume @p162 (forall (@list @t7 @t36) (or (not (= @t7 (tptp.hAPP @t243 @t36))) (= @t36 @t24)))) % 0.86/1.03 (assume @p163 (forall @t344 (or @t343 @t90))) % 0.86/1.03 (assume @p164 (forall @t344 (or @t343 @t97))) % 0.86/1.03 (assume @p165 (forall @t344 (or @t343 @t147))) % 0.86/1.03 (assume @p166 (forall @t87 (or @t242 @t346))) % 0.86/1.03 (assume @p167 (forall @t87 (or @t178 @t346))) % 0.86/1.03 (assume @p168 (forall @t162 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t109 @t5) @t36)))) % 0.86/1.03 (assume @p169 (forall @t162 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t36 @t5) @t109)))) % 0.86/1.03 (assume @p170 (forall @t87 (or @t342 @t341 @t346))) % 0.86/1.03 (assume @p171 (forall @t265 (= (tptp.c_HOL_Ominus__class_Ominus @t22 @t22 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p172 (forall @t265 (= (tptp.c_HOL_Ominus__class_Ominus @t22 @t24 tptp.tc_nat) @t22))) % 0.86/1.03 (assume @p173 (forall @t349 (or @t15 @t348 @t75 (not @t347)))) % 0.86/1.03 (assume @p174 (forall (@list @t353 @t352 @t7 @t357 @t356 @t354 @t351 @t350 @t5) (or (= (tptp.hAPP (tptp.hAPP @t353 (tptp.hAPP @t358 @t357)) @t359) (tptp.hAPP @t358 (tptp.hAPP (tptp.hAPP @t55 @t357) @t356))) @t355))) % 0.86/1.03 (assume @p175 (forall @t230 (or @t15 @t32 @t360))) % 0.86/1.03 (assume @p176 (forall @t16 (or @t15 @t30 @t360))) % 0.86/1.03 (assume @p177 (forall @t16 (or @t15 @t361 @t71))) % 0.86/1.03 (assume @p178 (forall @t16 (or @t15 @t361 @t33))) % 0.86/1.03 (assume @p179 (forall @t85 (or @t15 @t362 @t82))) % 0.86/1.03 (assume @p180 (forall @t85 (or @t15 @t362 @t80))) % 0.86/1.03 (assume @p181 (forall (@list @t5 @t7 @t39 @t36) (or @t15 @t40 @t363))) % 0.86/1.03 (assume @p182 (forall @t44 (or @t15 @t37 @t363))) % 0.86/1.03 (assume @p183 (forall @t170 (= (tptp.c_Orderings_Oord__class_Omin @t24 @t21 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p184 (forall @t170 (= (tptp.c_Orderings_Oord__class_Omin @t21 @t24 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p185 (forall (@list @t365 @t5) (not (= @t366 @t364)))) % 0.86/1.03 (assume @p186 (forall (@list @t367 @t5) (not (= (tptp.c_Option_Ooption_OSome @t367 @t5) @t364)))) % 0.86/1.03 (assume @p187 (forall @t368 (= (tptp.c_Nat_Onat_Onat__case @t132 @t131 @t24 @t5) @t132))) % 0.86/1.03 (assume @p188 (forall (@list @t7 @t175 @t5) (= (tptp.c_Nat_Onat_Onat__case @t7 @t175 @t24 @t5) @t7))) % 0.86/1.03 (assume @p189 (forall (@list @t137 @t140 @t2 @t47 @t93 @t89) (not (= @t141 @t174)))) % 0.86/1.03 (assume @p190 (forall (@list @t36 @t5 @t365) (or (not (= (tptp.c_Option_Ooption_OSome @t36 @t5) @t366)) (= @t36 @t365)))) % 0.86/1.03 (assume @p191 (forall (@list @t175 @t219 @t124 @t5 @t298 @t7) (= @t370 @t369))) % 0.86/1.03 (assume @p192 (forall (@list @t36 @t39 @t371 @t298 @t124 @t5) (= @t373 (tptp.hAPP @t372 @t371)))) % 0.86/1.03 (assume @p193 (forall @t45 (or @t213 @t376 @t375 @t374 (= @t10 @t109)))) % 0.86/1.03 (assume @p194 (forall @t45 (or @t213 @t376 @t375 @t374 (= @t7 @t109)))) % 0.86/1.03 (assume @p195 (forall @t28 (or @t378 @t377))) % 0.86/1.03 (assume @p196 (forall @t28 (or @t378 @t169))) % 0.86/1.03 (assume @p197 (forall @t162 (or @t173 (not (= @t171 @t109)) @t340))) % 0.86/1.03 (assume @p198 (forall (@list @t138 @t47 @t2 @t1) (not (= @t159 @t3)))) % 0.86/1.03 (assume @p199 (forall @t28 (or @t379 @t330))) % 0.86/1.03 (assume @p200 (forall @t78 (or @t15 @t70 @t32 (not @t361)))) % 0.86/1.03 (assume @p201 (forall (@list @t138 @t47 @t325 @t2 @t1) (not (= @t159 @t326)))) % 0.86/1.03 (assume @p202 (forall @t383 (or @t154 @t382 @t381 (= @t224 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t113 @t365) @t380) @t52 @t5))))) % 0.86/1.03 (assume @p203 (tptp.c_HOL_Oord__class_Oless @t24 @t151 tptp.tc_nat)) % 0.86/1.03 (assume @p204 (forall @t162 (or @t173 @t386 @t385))) % 0.86/1.03 (assume @p205 (forall @t162 (or @t173 @t384 @t387))) % 0.86/1.03 (assume @p206 (forall @t162 (or @t388 @t384 @t387))) % 0.86/1.03 (assume @p207 (forall @t162 (or @t388 @t386 @t385))) % 0.86/1.03 (assume @p208 (forall @t28 (or @t391 @t390 @t389))) % 0.86/1.03 (assume @p209 (forall @t28 (or @t391 @t377 @t169))) % 0.86/1.03 (assume @p210 (forall @t78 (or @t15 @t70 @t392))) % 0.86/1.03 (assume @p211 (forall @t230 (or @t15 @t32 @t392))) % 0.86/1.03 (assume @p212 (forall @t168 (or @t15 @t347 @t393))) % 0.86/1.03 (assume @p213 (forall @t168 (or @t15 @t347 @t76))) % 0.86/1.03 (assume @p214 (forall @t44 (or @t15 @t394 @t41))) % 0.86/1.03 (assume @p215 (forall @t44 (or @t15 @t394 @t38))) % 0.86/1.03 (assume @p216 (forall (@list @t5 @t39 @t7 @t36) (or @t15 @t81 @t395))) % 0.86/1.03 (assume @p217 (forall (@list @t5 @t36 @t7 @t39) (or @t15 @t79 @t395))) % 0.86/1.03 (assume @p218 (forall @t398 (or @t397 (not @t396)))) % 0.86/1.03 (assume @p219 (forall @t399 (or @t396 (not @t397)))) % 0.86/1.03 (assume @p220 (forall @t349 (or @t15 @t165 @t163 (not @t400)))) % 0.86/1.03 (assume @p221 (forall (@list @t39 @t280 @t281) (or (tptp.c_Com_OWT @t282) @t403 @t401))) % 0.86/1.03 (assume @p222 (forall @t160 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 tptp.c_Com_Ocom_OSKIP @t5) @t132))) % 0.86/1.03 (assume @p223 (forall (@list @t48 @t47 @t46 @t2 @t1) (not (= @t49 @t3)))) % 0.86/1.03 (assume @p224 (forall @t78 (or @t15 @t11 @t8 (not @t404)))) % 0.86/1.03 (assume @p225 (forall @t155 (or @t213 @t408 @t407 @t406))) % 0.86/1.03 (assume @p226 (forall @t155 (or @t213 @t408 @t409 @t385))) % 0.86/1.03 (assume @p227 (forall @t69 (or (= @t411 @t410) @t63))) % 0.86/1.03 (assume @p228 (forall @t398 (or (= @t414 @t412) @t63))) % 0.86/1.03 (assume @p229 (forall (@list @t138 @t47 @t2 @t91 @t88) (not (= @t159 @t102)))) % 0.86/1.03 (assume @p230 (forall (@list @t417 @t161 @t52 @t181 @t295 @t5 @t296) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 (tptp.c_Com_Ocom_OSemi @t52 @t181) @t295 @t5) @t416 @t415) @t5) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t296 @t181 @t295 @t5) @t416 @t415) @t5)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 @t52 @t296 @t5) @t416 @t415) @t5))))) % 0.86/1.03 (assume @p231 (forall (@list @t417 @t5) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 @t416 @t5))) % 0.86/1.03 (assume @p232 (forall @t4 (not (= tptp.c_Com_Ocom_OSKIP @t3)))) % 0.86/1.03 (assume @p233 (forall @t16 (or @t15 (= @t310 (tptp.c_Orderings_Oord__class_Omin @t10 @t99 @t5))))) % 0.86/1.03 (assume @p234 (= @t151 @t418)) % 0.86/1.03 (assume @p235 (forall @t119 (or @t118 @t117 @t150 @t419 @t111))) % 0.86/1.03 (assume @p236 (forall @t339 (or (tptp.c_lessequals @t338 @t337 tptp.tc_nat) @t29))) % 0.86/1.03 (assume @p237 (forall (@list @t22 @t184 @t21) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t22 @t184 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t21 @t184 tptp.tc_nat) tptp.tc_nat) @t29))) % 0.86/1.03 (assume @p238 (forall @t425 (or @t424 @t29 @t421 @t420))) % 0.86/1.03 (assume @p239 (forall @t250 (or @t23 (not @t424) @t421 @t420))) % 0.86/1.03 (assume @p240 (forall @t264 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t334 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p241 (forall @t69 (= @t427 (tptp.c_HOL_Ominus__class_Ominus @t54 @t426 tptp.tc_nat)))) % 0.86/1.03 (assume @p242 (forall (@list @t39 @t52 @t428 @t21 @t430 @t279) (or (tptp.c_Natural_Oevaln @t53 @t428 @t21 @t430) (not (tptp.c_Natural_Oevaln @t53 @t279 @t21 @t430)) (not (tptp.c_Natural_Oevaln @t52 @t428 @t21 @t279)) @t429))) % 0.86/1.03 (assume @p243 (forall (@list @t5 @t10) (not (= @t364 (tptp.c_Option_Ooption_OSome @t10 @t5))))) % 0.86/1.03 (assume @p244 (forall (@list @t5 @t365) (not (= @t364 @t366)))) % 0.86/1.03 (assume @p245 (forall (@list @t39 @t52 @t428 @t430 @t279) (or (tptp.c_Natural_Oevalc @t53 @t428 @t430) (not (tptp.c_Natural_Oevalc @t53 @t279 @t430)) (not (tptp.c_Natural_Oevalc @t52 @t428 @t279)) @t429))) % 0.86/1.03 (assume @p246 (forall (@list @t367 @t7 @t5) (= (tptp.c_Set_Oinsert @t367 @t431 @t5) (tptp.c_Set_Oinsert @t7 (tptp.c_Set_Oinsert @t367 @t103 @t5) @t5)))) % 0.86/1.03 (assume @p247 (forall (@list @t5 @t367 @t10 @t7) (or @t242 (not (= (tptp.c_HOL_Ominus__class_Ominus @t367 @t10 @t5) @t345)) (= @t367 @t10)))) % 0.86/1.03 (assume @p248 (forall (@list @t5 @t7 @t433 @t432) (or @t242 (not (= @t345 @t434)) (= @t433 @t432)))) % 0.86/1.03 (assume @p249 (forall @t425 (or (not (= @t423 @t422)) @t421 @t420 @t435))) % 0.86/1.03 (assume @p250 (forall (@list @t280 @t281 @t428 @t21 @t430 @t279) (or (tptp.c_Natural_Oevaln @t436 @t428 @t21 @t430) (not (tptp.c_Natural_Oevaln @t281 @t279 @t21 @t430)) (not (tptp.c_Natural_Oevaln @t280 @t428 @t21 @t279))))) % 0.86/1.03 (assume @p251 (forall @t45 (or @t15 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t13 @t5) @t7)))) % 0.86/1.03 (assume @p252 (forall @t28 (or @t391 @t390 @t169))) % 0.86/1.03 (assume @p253 (forall @t28 (or @t391 @t377 @t389))) % 0.86/1.03 (assume @p254 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.86/1.03 (assume @p255 (forall @t438 (or @t437 (not (tptp.c_Natural_Oevalc @t280 @t50 @t279)) @t278))) % 0.86/1.03 (assume @p256 (forall (@list @t39 @t50 @t281 @t285 @t286) (or @t278 @t440 @t439))) % 0.86/1.03 (assume @p257 (forall (@list @t280 @t281 @t428 @t430 @t279) (or (tptp.c_Natural_Oevalc @t436 @t428 @t430) (not (tptp.c_Natural_Oevalc @t281 @t279 @t430)) (not (tptp.c_Natural_Oevalc @t280 @t428 @t279))))) % 0.86/1.03 (assume @p258 (forall (@list @t441 @t36) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t441 @t36)))) % 0.86/1.03 (assume @p259 (forall @t218 (tptp.c_Fun_Oinj__on @t175 @t103 @t5 @t124))) % 0.86/1.03 (assume @p260 (forall @t170 (= (tptp.c_HOL_Ominus__class_Ominus @t24 @t21 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p261 (forall @t425 (= (tptp.c_HOL_Ominus__class_Ominus @t271 @t249 tptp.tc_nat) @t25))) % 0.86/1.03 (assume @p262 (forall @t442 (= (tptp.c_HOL_Ominus__class_Ominus @t121 @t336 tptp.tc_nat) @t25))) % 0.86/1.03 (assume @p263 (forall @t170 (tptp.c_HOL_Oord__class_Oless @t24 @t198 tptp.tc_nat))) % 0.86/1.03 (assume @p264 (forall @t207 (tptp.c_HOL_Oord__class_Oless @t24 @t204 tptp.tc_nat))) % 0.86/1.03 (assume @p265 (forall (@list @t441 @t443 @t36) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t441 @t443 @t36)) (not @t445)))) % 0.86/1.03 (assume @p266 (forall (@list @t161 @t441 @t36) (or (tptp.c_Com_OWT @t446) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t441 @t161 @t36)))))) % 0.86/1.03 (assume @p267 (forall @t44 (or @t15 @t447 (not (tptp.c_HOL_Oord__class_Oless @t7 @t36 @t5))))) % 0.86/1.03 (assume @p268 (forall @t44 (or @t15 @t447 (not (tptp.c_HOL_Oord__class_Oless @t7 @t39 @t5))))) % 0.86/1.03 (assume @p269 (forall @t168 (or @t15 @t400 @t164))) % 0.86/1.03 (assume @p270 (forall @t168 (or @t15 @t400 @t166))) % 0.86/1.03 (assume @p271 (forall @t230 (or @t15 @t8 @t448))) % 0.86/1.03 (assume @p272 (forall @t78 (or @t15 @t11 @t448))) % 0.86/1.03 (assume @p273 (forall @t45 (or @t15 (= @t19 @t98)))) % 0.86/1.03 (assume @p274 (forall @t449 (not (= tptp.c_Com_Ocom_OSKIP @t102)))) % 0.86/1.03 (assume @p275 (forall (@list @t138 @t47 @t137 @t140 @t2) (not (= @t159 @t141)))) % 0.86/1.03 (assume @p276 (forall @t28 (tptp.c_lessequals @t25 @t22 tptp.tc_nat))) % 0.86/1.03 (assume @p277 (forall (@list @t36 @t5 @t39) (or (not (= @t182 @t451)) @t450))) % 0.86/1.03 (assume @p278 (forall @t155 (or @t213 @t408 @t407 @t385))) % 0.86/1.03 (assume @p279 (forall @t45 (or @t342 @t341 (not (= @t453 @t109)) @t452))) % 0.86/1.03 (assume @p280 (forall @t155 (or @t178 @t454 @t450))) % 0.86/1.03 (assume @p281 (forall @t155 (or @t242 @t454 @t450))) % 0.86/1.03 (assume @p282 (forall @t85 (or @t15 @t455 (not (tptp.c_HOL_Oord__class_Oless @t36 @t7 @t5))))) % 0.86/1.03 (assume @p283 (forall @t85 (or @t15 @t455 (not (tptp.c_HOL_Oord__class_Oless @t39 @t7 @t5))))) % 0.86/1.03 (assume @p284 (forall @t168 (or @t15 @t163 @t456))) % 0.86/1.03 (assume @p285 (forall @t349 (or @t15 @t165 @t456))) % 0.86/1.03 (assume @p286 (forall @t16 (or @t15 @t404 @t9))) % 0.86/1.03 (assume @p287 (forall @t16 (or @t15 @t404 @t12))) % 0.86/1.03 (assume @p288 (forall @t425 (or (= (tptp.c_HOL_Ominus__class_Ominus @t423 @t422 tptp.tc_nat) @t25) @t421 @t420))) % 0.86/1.03 (assume @p289 (forall @t69 (= @t427 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t54 @t62 tptp.tc_nat) @t61 tptp.tc_nat)))) % 0.86/1.03 (assume @p290 (forall (@list @t7 @t367 @t5) (or (not (= (tptp.c_Set_Oinsert @t7 @t367 @t5) @t103)) (tptp.hBOOL (tptp.c_in @t7 @t367 @t5))))) % 0.86/1.03 (assume @p291 (forall @t170 (tptp.c_lessequals @t24 @t21 tptp.tc_nat))) % 0.86/1.03 (assume @p292 (forall (@list @t417 @t285 @t5 @t457) (or @t460 @t459))) % 0.86/1.03 (assume @p293 (forall @t155 (or @t213 @t462 @t461 @t111))) % 0.86/1.03 (assume @p294 (forall @t155 (or @t213 @t462 @t226 @t149))) % 0.86/1.03 (assume @p295 (forall (@list @t5 @t175 @t21) (or @t233 (tptp.c_lessequals @t463 (tptp.hAPP @t175 @t198) @t5) (not (tptp.c_Orderings_Oorder__class_Omono @t175 tptp.tc_nat @t5))))) % 0.86/1.03 (assume @p296 (forall (@list @t36 @t52 @t39) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t36 @t52 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t39 @t52 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t52 @t36 tptp.tc_nat)) @t464))) % 0.86/1.03 (assume @p297 (forall (@list @t137 @t140 @t2 @t48 @t47 @t46) (not (= @t141 @t49)))) % 0.86/1.03 (assume @p298 (forall (@list @t137 @t140 @t2 @t47 @t46) (not (= @t141 @t465)))) % 0.86/1.03 (assume @p299 (forall (@list @t10 @t104 @t5 @t7) (or @t327 (not @t328)))) % 0.86/1.03 (assume @p300 (forall @t247 (or (not (= (tptp.hAPP @t243 @t10) @t244)) @t466))) % 0.86/1.03 (assume @p301 (forall @t425 (or (not (= @t271 @t249)) @t435))) % 0.86/1.03 (assume @p302 (forall @t442 (or (not (= @t121 @t336)) @t435))) % 0.86/1.03 (assume @p303 (forall @t16 (or @t342 @t341 (not (= @t236 @t241)) @t466))) % 0.86/1.03 (assume @p304 (forall @t225 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t5)) @t468 @t467))) % 0.86/1.03 (assume @p305 (forall @t225 (or @t469 @t468 @t467))) % 0.86/1.03 (assume @p306 (forall @t119 (or @t469 (not (= @t333 @t332)) @t467))) % 0.86/1.03 (assume @p307 (forall @t28 (tptp.c_lessequals @t302 @t22 tptp.tc_nat))) % 0.86/1.03 (assume @p308 (forall @t16 (or @t118 (= (tptp.hAPP (tptp.hAPP @t113 @t19) @t6) (tptp.c_Orderings_Oord__class_Omin @t241 @t238 @t5))))) % 0.86/1.03 (assume @p309 (forall @t250 (or (tptp.c_lessequals @t22 (tptp.c_HOL_Ominus__class_Ominus @t334 @t62 tptp.tc_nat) tptp.tc_nat) @t421))) % 0.86/1.03 (assume @p310 (forall @t225 (or @t291 (= @t290 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t222 @t221 @t5) @t52 @t5))))) % 0.86/1.03 (assume @p311 (forall (@list @t352 @t353 @t7 @t10 @t356 @t354 @t351 @t350 @t5) (or (= (tptp.hAPP (tptp.hAPP @t352 @t472) @t356) (tptp.hAPP @t470 (tptp.hAPP (tptp.hAPP @t352 @t10) @t356))) @t355))) % 0.86/1.03 (assume @p312 (forall (@list @t353 @t7 @t354 @t10 @t6 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t471 @t474) (tptp.hAPP (tptp.hAPP @t354 @t472) (tptp.hAPP @t471 @t6))) @t355))) % 0.86/1.03 (assume @p313 (forall (@list @t353 @t7 @t10 @t354 @t352 @t351 @t350 @t5) (or (= @t472 (tptp.hAPP @t475 @t7)) @t355))) % 0.86/1.03 (assume @p314 (forall (@list @t353 @t7 @t10 @t6 @t354 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t471 (tptp.hAPP @t475 @t6)) (tptp.hAPP (tptp.hAPP @t353 @t472) @t6)) @t355))) % 0.86/1.03 (assume @p315 (forall (@list @t353 @t350 @t7 @t354 @t352 @t351 @t5) (or (= (tptp.hAPP @t476 @t7) @t7) @t355))) % 0.86/1.03 (assume @p316 (forall (@list @t353 @t351 @t7 @t354 @t352 @t350 @t5) (or (= (tptp.hAPP @t477 @t7) @t351) @t355))) % 0.86/1.03 (assume @p317 (forall (@list @t354 @t7 @t10 @t353 @t352 @t351 @t350 @t5) (or (= @t479 (tptp.hAPP @t473 @t7)) @t355))) % 0.86/1.03 (assume @p318 (forall (@list @t354 @t7 @t10 @t6 @t353 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t478 @t474) (tptp.hAPP (tptp.hAPP @t354 @t479) @t6)) @t355))) % 0.86/1.03 (assume @p319 (forall (@list @t354 @t351 @t7 @t353 @t352 @t350 @t5) (or (= (tptp.hAPP @t480 @t7) @t7) @t355))) % 0.86/1.03 (assume @p320 (forall @t487 (or (= @t486 (tptp.hAPP @t483 @t181)) @t355))) % 0.86/1.03 (assume @p321 (forall (@list @t354 @t36 @t52 @t353 @t352 @t351 @t350 @t5) (or (= @t482 (tptp.hAPP @t484 @t36)) @t355))) % 0.86/1.03 (assume @p322 (forall @t491 (or (= @t490 (tptp.hAPP @t483 @t39)) @t355))) % 0.86/1.03 (assume @p323 (forall @t487 (or (= @t486 (tptp.hAPP @t484 (tptp.hAPP @t481 @t181))) @t355))) % 0.86/1.03 (assume @p324 (forall @t491 (or (= @t490 (tptp.hAPP @t481 (tptp.hAPP @t492 @t52))) @t355))) % 0.86/1.03 (assume @p325 (forall (@list @t354 @t36 @t39 @t52 @t181 @t353 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t489 @t485) (tptp.hAPP @t483 (tptp.hAPP @t492 @t181))) @t355))) % 0.86/1.03 (assume @p326 (forall @t500 (or (= @t499 (tptp.hAPP @t497 (tptp.hAPP @t495 @t493))) @t355))) % 0.86/1.03 (assume @p327 (forall @t500 (or (= @t499 (tptp.hAPP @t501 @t493)) @t355))) % 0.86/1.03 (assume @p328 (forall @t506 (or (= @t505 (tptp.hAPP @t495 (tptp.hAPP @t503 @t496))) @t355))) % 0.86/1.03 (assume @p329 (forall @t506 (or (= @t505 (tptp.hAPP @t501 @t502)) @t355))) % 0.86/1.03 (assume @p330 (forall @t508 (or (= @t507 (tptp.hAPP @t497 (tptp.hAPP @t504 @t493))) @t355))) % 0.86/1.03 (assume @p331 (forall @t508 (or (= @t507 (tptp.hAPP @t495 (tptp.hAPP @t503 @t498))) @t355))) % 0.86/1.03 (assume @p332 (forall @t508 (or (= @t507 (tptp.hAPP @t501 (tptp.hAPP @t503 @t493))) @t355))) % 0.86/1.03 (assume @p333 (forall @t87 (not (tptp.hBOOL (tptp.hAPP @t103 @t7))))) % 0.86/1.03 (assume @p334 (forall @t69 (or (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t64 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t66 @t61 tptp.tc_nat)) @t63))) % 0.86/1.03 (assume @p335 (forall @t265 (= (tptp.c_Divides_Odiv__class_Omod @t22 @t151 tptp.tc_nat) @t24))) % 0.86/1.03 (assume @p336 (forall @t509 (not (= tptp.c_Com_Ocom_OSKIP @t326)))) % 0.86/1.03 (assume @p337 (forall @t162 (or @t117 (= (tptp.c_Power_Opower_Opower @t109 @t113 @t36 @t24 @t5) @t109)))) % 0.86/1.03 (assume @p338 (forall (@list @t5 @t21) (or @t117 (= (tptp.c_Power_Opower_Opower @t109 @t113 @t109 @t21 @t5) @t109)))) % 0.86/1.03 (assume @p339 (forall (@list @t61 @t21 @t62) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t61 @t21 tptp.tc_nat) @t62 tptp.tc_nat) @t510))) % 0.86/1.03 (assume @p340 (forall @t28 (or (= @t302 @t22) @t313))) % 0.86/1.03 (assume @p341 (= @t151 @t152)) % 0.86/1.03 (assume @p342 (forall @t45 (or @t229 @t227 @t73 @t31))) % 0.86/1.03 (assume @p343 (forall @t207 (not @t511))) % 0.86/1.03 (assume @p344 (forall @t170 (not (tptp.c_HOL_Oord__class_Oless @t21 @t21 tptp.tc_nat)))) % 0.86/1.03 (assume @p345 (forall @t87 (or @t233 @t306))) % 0.86/1.03 (assume @p346 (forall @t87 (or @t15 @t306))) % 0.86/1.03 (assume @p347 (forall @t87 (or @t229 @t306))) % 0.86/1.03 (assume @p348 (forall (@list @t54 @t62) (or (not (tptp.c_lessequals @t54 @t512 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t512 @t54 tptp.tc_nat) @t62)))) % 0.86/1.03 (assume @p349 (forall @t87 (or @t15 (= (tptp.c_Orderings_Oord__class_Omin @t7 @t7 @t5) @t7)))) % 0.86/1.03 (assume @p350 (forall @t170 (or @t169 (not (tptp.c_lessequals @t21 @t24 tptp.tc_nat))))) % 0.86/1.03 (assume @p351 (forall @t155 (or @t213 @t462 @t461 @t149))) % 0.86/1.03 (assume @p352 (forall @t264 (tptp.c_lessequals @t21 @t334 tptp.tc_nat))) % 0.86/1.03 (assume @p353 (forall @t264 (tptp.c_lessequals @t21 @t214 tptp.tc_nat))) % 0.86/1.03 (assume @p354 (forall @t60 (tptp.c_lessequals @t22 @t59 tptp.tc_nat))) % 0.86/1.03 (assume @p355 (forall @t264 (= (tptp.hAPP (tptp.hAPP @t55 @t513) @t22) (tptp.c_Orderings_Oord__class_Omax @t21 @t22 tptp.tc_nat)))) % 0.86/1.03 (assume @p356 (forall (@list @t286 @t50 @t21 @t285 @t39 @t281) (or @t514 @t51 @t288))) % 0.86/1.03 (assume @p357 (forall @t284 (or @t283 (not (tptp.c_Natural_Oevaln @t281 @t50 @t21 @t279)) @t51))) % 0.86/1.03 (assume @p358 (forall (@list @t47 @t46 @t137 @t140 @t2) (not (= @t465 @t141)))) % 0.86/1.03 (assume @p359 (forall (@list @t50) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t50 @t50))) % 0.86/1.03 (assume @p360 (forall (@list @t91 @t88 @t138 @t47) (not (= @t92 @t159)))) % 0.86/1.03 (assume @p361 (forall @t86 (or @t388 @t231 @t227 @t452))) % 0.86/1.03 (assume @p362 (forall @t45 (or @t15 @t452 @t231 @t227))) % 0.86/1.03 (assume @p363 (forall @t28 (or @t435 @t330 @t29))) % 0.86/1.03 (assume @p364 (forall @t264 (or @t316 @t312 @t435))) % 0.86/1.03 (assume @p365 (forall (@list @t266 @t285 @t52 @t50) (or (= @t266 @t285) (not (tptp.c_Natural_Oevalc @t52 @t50 @t266)) (not @t515)))) % 0.86/1.03 (assume @p366 (forall (@list @t161 @t21 @t22) (or (tptp.hBOOL (tptp.hAPP @t516 @t22)) @t316 @t435 @t312))) % 0.86/1.03 (assume @p367 (forall @t264 (or (not (= @t513 @t24)) @t27 @t435))) % 0.86/1.03 (assume @p368 (forall (@list @t10 @t7) (or (tptp.c_HOL_Oord__class_Oless @t10 @t7 tptp.tc_nat) @t320 @t452))) % 0.86/1.03 (assume @p369 (forall @t45 (or @t233 @t452 @t74 @t31))) % 0.86/1.03 (assume @p370 (forall @t86 (or @t15 @t231 @t227 @t452))) % 0.86/1.03 (assume @p371 (forall @t45 (or @t233 @t452 @t31 @t74))) % 0.86/1.03 (assume @p372 (forall @t86 (or @t15 @t231 @t452 @t227))) % 0.86/1.03 (assume @p373 (forall @t45 (or @t15 @t452 @t227 @t231))) % 0.86/1.03 (assume @p374 (forall @t383 (or @t291 @t382 @t381 (= @t290 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t365 @t380 @t5) @t52 @t5))))) % 0.86/1.03 (assume @p375 (forall @t155 (or @t20 @t188 (not @t517)))) % 0.86/1.03 (assume @p376 (forall @t155 (or @t20 @t517 @t189))) % 0.86/1.03 (assume @p377 (forall @t509 (not (= @t326 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p378 (forall @t87 (or @t15 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t7 @t5) @t7)))) % 0.86/1.03 (assume @p379 (forall @t194 (or @t522 @t521 @t520 @t519))) % 0.86/1.03 (assume @p380 (forall @t187 (or (tptp.c_HOL_Oord__class_Oless @t66 @t186 tptp.tc_nat) @t335 @t324))) % 0.86/1.03 (assume @p381 (forall @t523 (or @t275 @t321))) % 0.86/1.03 (assume @p382 (forall @t28 (or @t23 @t313))) % 0.86/1.03 (assume @p383 (forall @t45 (or @t233 @t30 @t228))) % 0.86/1.03 (assume @p384 (forall @t45 (or @t229 @t30 @t228))) % 0.86/1.03 (assume @p385 (forall (@list @t50 @t21) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t50 @t21 @t50))) % 0.86/1.03 (assume @p386 (forall (@list @t22 @t61 @t62) (or (= (tptp.c_HOL_Ominus__class_Ominus @t22 @t123 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t271 @t122 tptp.tc_nat)) @t63))) % 0.86/1.03 (assume @p387 (forall @t155 (or @t20 @t518 (not @t524)))) % 0.86/1.03 (assume @p388 (forall @t155 (or @t20 @t524 @t519))) % 0.86/1.03 (assume @p389 (forall @t528 (or @t527 @t526 @t525))) % 0.86/1.03 (assume @p390 (forall @t528 (or @t527 @t467 @t525))) % 0.86/1.03 (assume @p391 (forall @t528 (or @t527 @t526 @t529))) % 0.86/1.03 (assume @p392 (forall @t528 (or @t527 @t467 @t529))) % 0.86/1.03 (assume @p393 (forall @t531 (or @t118 @t530 @t189))) % 0.86/1.03 (assume @p394 (forall @t225 (or @t118 @t188 (not @t530)))) % 0.86/1.03 (assume @p395 (forall @t534 (or @t118 @t533 @t189))) % 0.86/1.03 (assume @p396 (forall @t225 (or @t118 @t188 (not @t533)))) % 0.86/1.03 (assume @p397 (forall @t531 (or @t193 @t530 @t189))) % 0.86/1.03 (assume @p398 (forall @t534 (or @t193 @t533 @t189))) % 0.86/1.03 (assume @p399 (forall @t68 (or (tptp.c_lessequals @t66 @t426 tptp.tc_nat) @t183))) % 0.86/1.03 (assume @p400 (forall @t250 (or @t23 (not @t535)))) % 0.86/1.03 (assume @p401 (forall @t442 (or @t535 @t29))) % 0.86/1.03 (assume @p402 (forall (@list @t286 @t50 @t285 @t39 @t281) (or @t536 @t51 @t439))) % 0.86/1.03 (assume @p403 (forall @t438 (or @t437 (not (tptp.c_Natural_Oevalc @t281 @t50 @t279)) @t51))) % 0.86/1.03 (assume @p404 (forall @t537 (or @t183 (= @t61 (tptp.hAPP (tptp.hAPP @t55 (tptp.c_HOL_Ominus__class_Ominus @t61 @t54 tptp.tc_nat)) @t54))))) % 0.86/1.03 (assume @p405 (forall @t264 (or @t538 @t330))) % 0.86/1.03 (assume @p406 (forall @t28 (or (= (tptp.hAPP (tptp.hAPP @t55 @t25) @t21) @t22) @t330))) % 0.86/1.03 (assume @p407 (forall @t540 (not (= tptp.c_Com_Ocom_OSKIP @t539)))) % 0.86/1.03 (assume @p408 (forall (@list @t286 @t281) (or @t542 @t541))) % 0.86/1.03 (assume @p409 (forall (@list @t281 @t286) (or @t402 @t541))) % 0.86/1.03 (assume @p410 (forall @t368 (= (tptp.c_Nat_Onat_Onat__rec @t132 @t131 @t24 @t5) @t132))) % 0.86/1.03 (assume @p411 (forall (@list @t2 @t1 @t138 @t47) (not (= @t3 @t159)))) % 0.86/1.03 (assume @p412 (forall @t69 (or (= @t410 @t411) @t63))) % 0.86/1.03 (assume @p413 (forall @t399 (or (= @t412 @t414) @t63))) % 0.86/1.03 (assume @p414 (forall (@list @t5 @t36 @t104) (not (= @t103 @t105)))) % 0.86/1.03 (assume @p415 (forall @t158 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t49 @t5) @t157))) % 0.86/1.03 (assume @p416 (forall @t544 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t465 @t5) @t543))) % 0.86/1.03 (assume @p417 (forall (@list @t417 @t457 @t5 @t545) (or @t546 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 @t545 @t5)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t545 @t457 @t5))))) % 0.86/1.03 (assume @p418 (forall (@list @t175 @t219 @t124 @t298 @t5 @t7) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t175 @t219 @t124 @t298 @t5) @t7) (tptp.hAPP @t219 @t547)))) % 0.86/1.03 (assume @p419 (forall @t170 (or @t263 @t169))) % 0.86/1.03 (assume @p420 (forall (@list @t175 @t219 @t549 @t548 @t298 @t5 @t124) (= (tptp.c_Fun_Ocomp @t175 (tptp.c_Fun_Ocomp @t219 @t549 @t548 @t298 @t5) @t298 @t124 @t5) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t175 @t219 @t298 @t124 @t548) @t549 @t548 @t124 @t5)))) % 0.86/1.03 (assume @p421 (forall @t551 (or @t550 @t147))) % 0.86/1.03 (assume @p422 (forall @t551 (or @t550 @t139))) % 0.86/1.03 (assume @p423 (forall (@list @t137 @t140 @t2 @t138 @t47) (not (= @t141 @t159)))) % 0.86/1.03 (assume @p424 (forall @t552 (not (= @t92 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p425 (not (tptp.c_HOL_Oord__class_Oless @t24 @t24 tptp.tc_nat))) % 0.86/1.03 (assume @p426 (forall (@list @t417 @t161 @t5) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t161 tptp.c_Com_Ocom_OSKIP @t161 @t5) @t416 @t415) @t5))) % 0.86/1.03 (assume @p427 (forall @t155 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t216 @t39 @t5) @t153)))) % 0.86/1.03 (assume @p428 (forall @t553 (or @t154 (= (tptp.c_Divides_Odiv__class_Omod @t333 @t39 @t5) @t153)))) % 0.86/1.03 (assume @p429 (forall @t200 (or @t117 (= @t197 @t201)))) % 0.86/1.03 (assume @p430 (forall @t319 (tptp.hBOOL (tptp.hAPP @t292 @t7)))) % 0.86/1.03 (assume @p431 (forall @t250 (or @t312 (not @t554) @t421 @t420))) % 0.86/1.03 (assume @p432 (forall (@list @t353 @t36 @t350 @t354 @t352 @t351 @t5) (or (= (tptp.hAPP @t555 @t350) @t36) @t355))) % 0.86/1.03 (assume @p433 (forall (@list @t353 @t350 @t36 @t354 @t352 @t351 @t5) (or (= (tptp.hAPP @t476 @t36) @t36) @t355))) % 0.86/1.03 (assume @p434 (forall (@list @t353 @t36 @t351 @t354 @t352 @t350 @t5) (or (= (tptp.hAPP @t555 @t351) @t351) @t355))) % 0.86/1.03 (assume @p435 (forall (@list @t353 @t351 @t36 @t354 @t352 @t350 @t5) (or (= (tptp.hAPP @t477 @t36) @t351) @t355))) % 0.86/1.03 (assume @p436 (forall (@list @t353 @t354 @t36 @t39 @t52 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t557 @t52) (tptp.hAPP (tptp.hAPP @t354 (tptp.hAPP @t555 @t52)) (tptp.hAPP @t556 @t52))) @t355))) % 0.86/1.03 (assume @p437 (forall (@list @t353 @t36 @t39 @t354 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t555 @t39) (tptp.hAPP @t556 @t36)) @t355))) % 0.86/1.03 (assume @p438 (forall (@list @t354 @t36 @t351 @t353 @t352 @t350 @t5) (or (= (tptp.hAPP @t481 @t351) @t36) @t355))) % 0.86/1.03 (assume @p439 (forall (@list @t354 @t351 @t36 @t353 @t352 @t350 @t5) (or (= (tptp.hAPP @t480 @t36) @t36) @t355))) % 0.86/1.03 (assume @p440 (forall (@list @t354 @t22 @t353 @t350 @t352 @t351 @t5) (or (= (tptp.hAPP @t558 @t22) (tptp.hAPP (tptp.hAPP @t353 (tptp.hAPP (tptp.hAPP @t354 @t350) @t350)) @t22)) @t355))) % 0.86/1.03 (assume @p441 (forall (@list @t354 @t22 @t353 @t36 @t350 @t352 @t351 @t5) (or (= (tptp.hAPP @t558 @t560) @t559) @t355))) % 0.86/1.03 (assume @p442 (forall (@list @t354 @t353 @t36 @t22 @t350 @t352 @t351 @t5) (or (= (tptp.hAPP @t561 @t22) @t559) @t355))) % 0.86/1.03 (assume @p443 (forall (@list @t354 @t353 @t36 @t22 @t39 @t352 @t351 @t350 @t5) (or (= (tptp.hAPP @t561 (tptp.hAPP @t556 @t22)) (tptp.hAPP @t557 @t22)) @t355))) % 0.86/1.03 (assume @p444 (forall @t28 (or (not @t564) (= @t562 @t24)))) % 0.86/1.03 (assume @p445 (forall (@list @t36 @t39 @t298 @t124 @t5 @t52 @t371) (or (not (= @t372 (tptp.c_Fun_Ocomp @t220 @t52 @t124 @t124 @t5))) (= @t373 (tptp.hAPP @t52 @t371))))) % 0.86/1.03 (assume @p446 (forall @t28 (or @t565 @t390 @t169))) % 0.86/1.03 (assume @p447 (forall @t28 (or @t565 @t377 @t389))) % 0.86/1.04 (assume @p448 (forall @t136 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t94 @t5) @t135))) % 0.86/1.04 (assume @p449 (forall (@list @t48 @t47 @t46 @t91 @t88) (not (= @t49 @t92)))) % 0.86/1.04 (assume @p450 (forall (@list @t5 @t36 @t39 @t52 @t181) (or @t240 (= (tptp.hAPP @t253 @t258) (tptp.hAPP @t256 @t192))))) % 0.86/1.04 (assume @p451 (forall @t569 (or @t15 @t568 (= (tptp.c_Orderings_Oord__class_Omin @t567 @t463 @t124) (tptp.hAPP @t175 (tptp.c_Orderings_Oord__class_Omin @t22 @t21 @t5))) @t566))) % 0.86/1.04 (assume @p452 (forall @t571 (or @t570 @t147))) % 0.86/1.04 (assume @p453 (forall @t571 (or @t570 @t572))) % 0.86/1.04 (assume @p454 (forall @t45 (or @t15 (= @t13 @t573)))) % 0.86/1.04 (assume @p455 (forall (@list @t39 @t52) (or @t576 @t575))) % 0.86/1.04 (assume @p456 (forall (@list @t52 @t39) (or @t574 (not @t576)))) % 0.86/1.04 (assume @p457 (forall @t277 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t143 @t5) @t276))) % 0.86/1.04 (assume @p458 (forall (@list @t5 @t124 @t175 @t7 @t10) (or @t233 (not (tptp.class_Orderings_Oorder @t124)) (tptp.c_lessequals @t547 @t577 @t124) @t31 @t566))) % 0.86/1.04 (assume @p459 (forall @t16 (or @t15 (tptp.c_lessequals @t100 @t101 @t5)))) % 0.86/1.04 (assume @p460 (forall (@list @t578 @t36 @t52) (or @t579 @t575))) % 0.86/1.04 (assume @p461 (forall (@list @t52 @t578 @t36) (or @t574 (not @t579)))) % 0.86/1.04 (assume @p462 (forall @t449 (not (= @t102 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.04 (assume @p463 (forall @t170 (= (tptp.c_Orderings_Oord__class_Omax @t21 @t24 tptp.tc_nat) @t21))) % 0.86/1.04 (assume @p464 (forall @t170 (= (tptp.c_Orderings_Oord__class_Omax @t24 @t21 tptp.tc_nat) @t21))) % 0.86/1.04 (assume @p465 (forall @t45 (or @t15 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t19 @t5) @t7)))) % 0.86/1.04 (assume @p466 (forall (@list @t2 @t1 @t47 @t93 @t89) (not (= @t3 @t174)))) % 0.86/1.04 (assume @p467 (forall @t581 (or (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t580 tptp.tc_nat) @t54) (not (tptp.c_lessequals @t54 @t21 tptp.tc_nat))))) % 0.86/1.04 (assume @p468 (forall (@list @t93 @t89 @t137 @t140 @t2) (not (= @t94 @t141)))) % 0.86/1.04 (assume @p469 (forall @t304 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t159 @t5) @t303))) % 0.86/1.04 (assume @p470 (forall (@list @t2 @t91 @t88 @t138 @t47) (not (= @t102 @t159)))) % 0.86/1.04 (assume @p471 (forall @t16 (or @t118 (= (tptp.hAPP (tptp.hAPP @t113 @t13) @t6) (tptp.c_Orderings_Oord__class_Omax @t241 @t238 @t5))))) % 0.86/1.04 (assume @p472 (forall @t16 (or @t15 (= (tptp.c_Orderings_Oord__class_Omax @t13 @t6 @t5) @t582)))) % 0.86/1.04 (assume @p473 (forall @t16 (or @t15 (= @t582 (tptp.c_Orderings_Oord__class_Omax @t10 @t583 @t5))))) % 0.86/1.04 (assume @p474 (forall @t544 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t465 @t5) (tptp.hAPP @t543 @t156)))) % 0.86/1.04 (assume @p475 (forall @t87 (or @t240 (= (tptp.hAPP @t208 @t7) @t7)))) % 0.86/1.04 (assume @p476 (forall @t162 (or @t117 @t584))) % 0.86/1.04 (assume @p477 (forall @t207 (= @t7 (tptp.hAPP @t243 @t24)))) % 0.86/1.04 (assume @p478 (forall @t170 (= (tptp.hAPP @t211 @t21) @t21))) % 0.86/1.04 (assume @p479 (forall @t265 (= (tptp.hAPP @t58 @t24) @t22))) % 0.86/1.04 (assume @p480 (forall @t87 (or @t342 @t341 (= @t7 (tptp.hAPP @t235 @t109))))) % 0.86/1.04 (assume @p481 (forall @t162 (or @t117 @t585))) % 0.86/1.04 (assume @p482 (forall @t162 (or @t586 @t584))) % 0.86/1.04 (assume @p483 (forall @t162 (or @t586 @t585))) % 0.86/1.04 (assume @p484 (forall @t162 (or @t240 @t585))) % 0.86/1.04 (assume @p485 (forall @t162 (or @t240 @t584))) % 0.86/1.04 (assume @p486 (forall (@list @t285 @t50 @t21) (or @t587 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t50 @t21 @t285))))) % 0.86/1.04 (assume @p487 (forall @t45 (or @t15 (= (tptp.c_Orderings_Oord__class_Omax @t7 @t13 @t5) @t13)))) % 0.86/1.04 (assume @p488 (forall (@list @t352 @t7 @t350 @t354 @t353 @t351 @t5) (or (= (tptp.hAPP @t358 @t24) @t350) @t355))) % 0.86/1.04 (assume @p489 (forall @t87 (= (tptp.hAPP @t217 @t7) @t7))) % 0.86/1.04 (assume @p490 (forall @t28 (= (tptp.c_HOL_Ominus__class_Ominus @t214 @t21 tptp.tc_nat) @t22))) % 0.86/1.04 (assume @p491 (forall @t264 (= (tptp.c_HOL_Ominus__class_Ominus @t334 @t21 tptp.tc_nat) @t22))) % 0.86/1.04 (assume @p492 (forall @t155 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t216 @t39 @t5) @t36)))) % 0.86/1.04 (assume @p493 (forall @t589 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t174 @t5) (tptp.hAPP (tptp.hAPP @t588 @t134) @t133)))) % 0.86/1.04 (assume @p494 (forall @t569 (or @t15 @t568 (= (tptp.c_Orderings_Oord__class_Omax @t567 @t463 @t124) (tptp.hAPP @t175 (tptp.c_Orderings_Oord__class_Omax @t22 @t21 @t5))) @t566))) % 0.86/1.04 (assume @p495 (forall @t194 (or @t522 @t521 @t520 @t189))) % 0.86/1.04 (assume @p496 (forall @t194 (or @t522 @t521 @t190 @t519))) % 0.86/1.04 (assume @p497 (forall (@list @t285 @t50) (or @t587 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t50 @t285))))) % 0.86/1.04 (assume @p498 (forall @t28 (or @t261 @t301))) % 0.86/1.04 (assume @p499 (forall @t28 (or @t261 @t590))) % 0.86/1.04 (assume @p500 (forall @t162 (or @t173 @t148 (not @t591)))) % 0.86/1.04 (assume @p501 (forall @t162 (or @t173 @t591 @t149))) % 0.86/1.04 (assume @p502 (forall (@list @t52 @t50 @t285 @t21) (or @t515 @t592))) % 0.86/1.04 (assume @p503 (forall (@list @t52 @t50 @t285 @t7) (or @t515 (not (tptp.c_Natural_Oevaln @t52 @t50 @t7 @t285))))) % 0.86/1.04 (assume @p504 (forall @t596 (or @t595 (tptp.c_Natural_Oevaln @t52 @t594 @t21 @t593)))) % 0.86/1.04 (assume @p505 (forall (@list @t36 @t39 @t104 @t5) (or @t599 @t598))) % 0.86/1.04 (assume @p506 (forall (@list @t36 @t39 @t600 @t5) (or (tptp.hBOOL (tptp.c_in @t36 (tptp.c_Set_Oinsert @t39 @t600 @t5) @t5)) (not (tptp.hBOOL (tptp.c_in @t36 @t600 @t5)))))) % 0.86/1.04 (assume @p507 (forall @t602 @t601)) % 0.86/1.04 (assume @p508 (forall @t603 (or @t179 @t601))) % 0.86/1.04 (assume @p509 (forall (@list @t52 @t5) (not (tptp.hBOOL (tptp.c_in @t52 @t103 @t5))))) % 0.86/1.04 (assume @p510 (forall (@list @t36 @t5) (not (tptp.hBOOL (tptp.c_in @t36 @t103 @t5))))) % 0.86/1.04 (assume @p511 (forall (@list @t36 @t104 @t5 @t39) (or @t597 @t450 (not @t599)))) % 0.86/1.04 (assume @p512 (forall @t319 (tptp.hBOOL (tptp.c_in @t7 @t292 @t5)))) % 0.86/1.04 (assume @p513 (forall (@list @t36 @t600 @t5) (tptp.hBOOL (tptp.c_in @t36 (tptp.c_Set_Oinsert @t36 @t600 @t5) @t5)))) % 0.86/1.04 (assume @p514 (forall (@list @t7 @t600 @t5) (tptp.hBOOL (tptp.c_in @t7 @t604 @t5)))) % 0.86/1.04 (assume @p515 (forall @t610 (or @t609 @t608 @t607 @t452 @t605))) % 0.86/1.04 (assume @p516 (forall @t610 (or @t609 @t608 @t607 @t605 @t452))) % 0.86/1.04 (assume @p517 (forall (@list @t175 @t7 @t367 @t104 @t5 @t124) (or (not (= @t547 (tptp.hAPP @t175 @t367))) (not (tptp.hBOOL (tptp.c_in @t367 @t104 @t5))) @t607 @t605 (= @t7 @t367)))) % 0.86/1.04 (assume @p518 (forall @t610 (or @t609 @t605 @t452 @t608 @t607))) % 0.86/1.04 (assume @p519 (forall @t603 (or (not @t179) @t601))) % 0.86/1.04 (assume @p520 (forall (@list @t7 @t104 @t5 @t600) (or (not (= @t292 @t604)) (tptp.hBOOL (tptp.c_in @t7 @t600 @t5)) @t606 (= @t104 @t600)))) % 0.86/1.04 (assume @p521 (forall @t106 (or (= @t105 @t104) @t598))) % 0.86/1.04 (assume @p522 (forall @t264 (or @t611 @t330))) % 0.86/1.04 (assume @p523 (forall @t264 (or @t329 (not @t611)))) % 0.86/1.04 (assume @p524 (forall @t28 (or @t202 @t313))) % 0.86/1.04 (assume @p525 (forall @t28 (or @t312 (not @t612)))) % 0.86/1.04 (assume @p526 (forall @t28 (= @t562 (tptp.c_Divides_Odiv__class_Omod @t563 @t21 tptp.tc_nat)))) % 0.86/1.04 (assume @p527 (forall @t170 (not (tptp.c_lessequals @t198 @t21 tptp.tc_nat)))) % 0.86/1.04 (assume @p528 (forall @t28 (or @t613 @t29))) % 0.86/1.04 (assume @p529 (forall @t28 (or @t23 @t315))) % 0.86/1.04 (assume @p530 (forall (@list @t352 @t7 @t21 @t353 @t354 @t351 @t350 @t5) (or (= (tptp.hAPP @t358 @t198) (tptp.hAPP @t471 (tptp.hAPP @t358 @t21))) @t355))) % 0.86/1.04 (assume @p531 (forall (@list @t352 @t7 @t356 @t353 @t354 @t351 @t350 @t5) (or (= @t615 @t614) @t355))) % 0.86/1.04 (assume @p532 (forall @t425 (or @t554 @t313 @t421 @t420))) % 0.86/1.04 (assume @p533 (forall @t119 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t5)) @t150 @t419 @t149))) % 0.86/1.04 (assume @p534 (forall (@list @t5 @t616 @t54) (or @t617 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t616 @t24 @t54 @t5) @t54)))) % 0.86/1.04 (assume @p535 (forall @t619 (or @t618 @t572))) % 0.86/1.04 (assume @p536 (forall @t619 (or @t618 @t147))) % 0.86/1.04 (assume @p537 (forall @t619 (or @t618 (= @t48 @t325)))) % 0.86/1.04 (assume @p538 (forall (@list @t280 @t281) (or (tptp.c_Com_OWT @t436) @t403 @t401))) % 0.86/1.04 (assume @p539 (forall @t162 (or @t173 @t620 @t406))) % 0.86/1.04 (assume @p540 (forall @t162 (or @t173 @t405 (not @t620)))) % 0.86/1.04 (assume @p541 (forall @t621 (not (= tptp.c_Com_Ocom_OSKIP @t141)))) % 0.86/1.04 (assume @p542 (forall @t537 (not (tptp.c_HOL_Oord__class_Oless @t323 @t54 tptp.tc_nat)))) % 0.86/1.04 (assume @p543 (forall (@list @t61 @t54) (not (tptp.c_HOL_Oord__class_Oless @t413 @t54 tptp.tc_nat)))) % 0.86/1.04 (assume @p544 (forall (@list @t175 @t124 @t5) (= (tptp.c_Fun_Ofcomp @t175 @t220 @t5 @t124 @t124) @t175))) % 0.86/1.04 (assume @p545 (forall (@list @t5 @t219 @t124) (= (tptp.c_Fun_Ofcomp @t217 @t219 @t5 @t5 @t124) @t219))) % 0.86/1.04 (assume @p546 (forall @t28 (or @t379 @t312))) % 0.86/1.04 (assume @p547 (forall (@list @t2 @t1 @t93 @t89) (not (= @t3 @t94)))) % 0.86/1.04 (assume @p548 (tptp.c_lessequals @t24 @t24 tptp.tc_nat)) % 0.86/1.04 (assume @p549 (forall @t68 (or @t623 (not @t622)))) % 0.86/1.04 (assume @p550 (forall @t69 (or @t622 (not @t623)))) % 0.86/1.04 (assume @p551 (forall (@list @t39 @t50 @t285 @t52) (or @t51 @t587 (not (tptp.c_Natural_Oevalc @t53 @t50 @t285))))) % 0.86/1.04 (assume @p552 (forall (@list @t624 @t625 @t36 @t5) (= (tptp.c_Power_Opower_Opower @t624 @t625 @t36 @t24 @t5) @t624))) % 0.86/1.04 (assume @p553 (forall @t531 (or @t522 @t626 @t519))) % 0.86/1.04 (assume @p554 (forall @t531 (or @t118 @t626 @t519))) % 0.86/1.04 (assume @p555 (forall @t225 (or @t118 @t518 (not @t626)))) % 0.86/1.04 (assume @p556 (forall @t534 (or @t522 @t627 @t519))) % 0.86/1.04 (assume @p557 (forall @t534 (or @t118 @t627 @t519))) % 0.86/1.04 (assume @p558 (forall @t225 (or @t118 @t518 (not @t627)))) % 0.86/1.04 (assume @p559 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t66 @t426 tptp.tc_nat) @t324))) % 0.86/1.04 (assume @p560 (forall @t250 (or @t312 (not @t628)))) % 0.86/1.04 (assume @p561 (forall @t442 (or @t628 @t313))) % 0.86/1.04 (assume @p562 (forall @t631 (or (not @t630) @t629))) % 0.86/1.04 (assume @p563 (forall @t631 (or (not @t629) @t630))) % 0.86/1.04 (assume @p564 (forall @t168 (or @t233 @t75 @t393 @t74))) % 0.86/1.04 (assume @p565 (forall @t168 (or @t233 @t163 @t393 @t232))) % 0.86/1.04 (assume @p566 (forall @t168 (or @t233 @t163 @t166 @t74))) % 0.86/1.04 (assume @p567 (forall @t155 (or @t213 (tptp.c_lessequals @t216 @t109 @t5) @t409 @t406))) % 0.86/1.04 (assume @p568 (forall @t230 (or @t229 @t32 @t71 @t31))) % 0.86/1.04 (assume @p569 (forall @t170 (tptp.c_lessequals @t21 @t21 tptp.tc_nat))) % 0.86/1.04 (assume @p570 (forall @t68 (or (tptp.c_lessequals @t54 @t62 tptp.tc_nat) (not (tptp.c_lessequals @t61 @t62 tptp.tc_nat)) @t183))) % 0.86/1.04 (assume @p571 (forall @t207 @t206)) % 0.86/1.04 (assume @p572 (forall @t87 (or @t233 @t307))) % 0.86/1.04 (assume @p573 (forall (@list @t52 @t50 @t22 @t285 @t21) (or (tptp.c_Natural_Oevaln @t52 @t50 @t22 @t285) @t330 @t592))) % 0.86/1.04 (assume @p574 (forall @t87 (or @t229 @t307))) % 0.86/1.04 (assume @p575 (forall @t230 (or @t229 @t8 @t12 @t31))) % 0.86/1.04 (assume @p576 (forall @t230 (or @t229 @t8 @t71 @t228))) % 0.86/1.04 (assume @p577 (forall (@list @t5 @t36 @t39 @t181 @t52) (or @t20 (tptp.c_lessequals @t36 @t192 @t5) @t190 (not (tptp.c_lessequals @t36 @t251 @t5))))) % 0.86/1.04 (assume @p578 (forall @t621 (not (= @t141 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.04 (assume @p579 (forall (@list @t22 @t54 @t21) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t22 @t54 tptp.tc_nat) @t580 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t632 @t54 tptp.tc_nat)))) % 0.86/1.04 (assume @p580 (forall (@list @t161 @t36 @t39) (or (tptp.hBOOL (tptp.hAPP @t161 @t24)) @t464 (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_HOL_Ominus__class_Ominus @t36 @t39 tptp.tc_nat))))))) % 0.86/1.04 (assume @p581 (= @t418 @t151)) % 0.86/1.04 (assume @p582 (forall @t602 (tptp.hBOOL (tptp.c_in @t7 @t431 @t5)))) % 0.86/1.04 (assume @p583 (forall @t589 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t174 @t5) @t588))) % 0.86/1.04 (assume @p584 (forall @t264 (or @t635 @t634 @t29))) % 0.86/1.04 (assume @p585 (forall (@list @t36 @t39 @t298 @t124 @t5 @t52 @t181 @t548 @t371) (or (not (= @t372 (tptp.c_Fun_Ocomp @t52 @t181 @t548 @t124 @t5))) (= @t373 (tptp.hAPP @t52 (tptp.hAPP @t181 @t371)))))) % 0.86/1.04 (assume @p586 (forall (@list @t175 @t219 @t7 @t638 @t637 @t433 @t124 @t5 @t298 @t548 @t636) (or (not (= @t369 (tptp.hAPP @t638 (tptp.hAPP @t637 @t433)))) (= @t370 (tptp.hAPP (tptp.c_Fun_Ocomp @t638 @t637 @t548 @t5 @t636) @t433))))) % 0.86/1.04 (assume @p587 (forall (@list @t39 @t50 @t285 @t52 @t21) (or @t51 @t587 (not (tptp.c_Natural_Oevaln @t53 @t50 @t21 @t285))))) % 0.86/1.04 (assume @p588 (forall @t28 (or @t312 (not @t639)))) % 0.86/1.04 (assume @p589 (forall @t264 (or @t639 @t313))) % 0.86/1.04 (assume @p590 (forall (@list @t417 @t457 @t5 @t285) (or @t546 @t459))) % 0.86/1.04 (assume @p591 (forall (@list @t417 @t285 @t457 @t5) (or @t458 (not @t546) (not @t460)))) % 0.86/1.04 (assume @p592 (forall @t170 (or (= (tptp.hAPP tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t21 @t151 tptp.tc_nat)) @t21) @t301))) % 0.86/1.04 (assume @p593 (forall @t28 (or (tptp.c_HOL_Oord__class_Oless @t25 @t22 tptp.tc_nat) @t590 @t301))) % 0.86/1.04 (assume @p594 (forall @t16 (or @t15 (tptp.c_lessequals @t641 @t640 @t5)))) % 0.86/1.04 (assume @p595 (forall @t644 (or @t20 @t643 @t642 @t74))) % 0.86/1.04 (assume @p596 (forall @t644 (or @t20 @t643 @t73 (not @t642)))) % 0.86/1.04 (assume @p597 (forall @t644 (or @t20 @t643 @t645 @t228))) % 0.86/1.04 (assume @p598 (forall @t644 (or @t20 @t643 @t227 (not @t645)))) % 0.86/1.04 (assume @p599 (forall @t540 (not (= @t539 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.04 (assume @p600 (forall @t531 (or @t154 (= @t308 @t224)))) % 0.86/1.04 (assume @p601 (forall @t225 (or @t154 (= @t309 @t224)))) % 0.86/1.04 (assume @p602 (forall @t264 (or @t538 @t312))) % 0.86/1.04 (assume @p603 (forall @t581 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t21 @t646 tptp.tc_nat) @t21 tptp.tc_nat) @t301))) % 0.86/1.04 (assume @p604 (forall (@list @t286 @t50 @t21 @t285 @t281 @t39) (or @t514 @t289 @t288))) % 0.86/1.04 (assume @p605 (forall @t28 (or @t565 @t390 @t389))) % 0.86/1.04 (assume @p606 (forall @t28 (or @t565 @t377 @t169))) % 0.86/1.04 (assume @p607 (forall @t78 (or @t15 (= (tptp.c_Orderings_Oord__class_Omax @t34 @t7 @t5) (tptp.c_Orderings_Oord__class_Omin @t573 (tptp.c_Orderings_Oord__class_Omax @t6 @t7 @t5) @t5))))) % 0.86/1.04 (assume @p608 (forall @t16 (or @t15 (= @t641 @t640)))) % 0.86/1.04 (assume @p609 (forall @t553 (or @t233 @t647 @t450 @t311))) % 0.86/1.04 (assume @p610 (forall @t553 (or @t233 @t647 @t311 @t450))) % 0.86/1.04 (assume @p611 (forall @t28 (or @t312 @t435 @t29))) % 0.86/1.04 (assume @p612 (forall @t28 (or @t435 @t312 @t29))) % 0.86/1.04 (assume @p613 (forall @t45 (or @t233 @t452 @t227 @t31))) % 0.86/1.04 (assume @p614 (forall @t45 (or @t233 @t227 @t452 @t31))) % 0.86/1.04 (assume @p615 (forall @t155 (or @t233 @t518 @t450 @t189))) % 0.86/1.04 (assume @p616 (forall @t155 (or @t233 @t518 @t189 @t450))) % 0.86/1.04 (assume @p617 (forall @t45 (or @t15 @t452 @t31 @t227))) % 0.86/1.04 (assume @p618 (forall @t45 (or @t15 @t452 @t227 @t31))) % 0.86/1.04 (assume @p619 (forall (@list @t48 @t47 @t46 @t137 @t140 @t2) (not (= @t49 @t141)))) % 0.86/1.04 (assume @p620 (forall (@list @t286 @t50 @t285 @t281 @t39) (or @t536 @t440 @t439))) % 0.86/1.04 (assume @p621 (forall (@list @t286 @t39 @t281) (or @t542 @t648))) % 0.86/1.04 (assume @p622 (forall (@list @t281 @t39 @t286) (or @t402 @t648))) % 0.86/1.04 (assume @p623 (forall (@list @t175 @t219 @t5 @t548 @t298 @t549 @t124) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t175 @t219 @t5 @t548 @t298) @t549 @t5 @t298 @t124) (tptp.c_Fun_Ofcomp @t175 (tptp.c_Fun_Ofcomp @t219 @t549 @t548 @t298 @t124) @t5 @t548 @t124)))) % 0.86/1.04 (assume @p624 (forall @t552 (not (= tptp.c_Com_Ocom_OSKIP @t92)))) % 0.86/1.04 (assume @p625 (forall @t155 (or @t233 @t519 @t649))) % 0.86/1.04 (assume @p626 (forall @t45 (or @t15 @t228 @t232))) % 0.86/1.04 (assume @p627 (forall @t264 (or @t329 @t23))) % 0.86/1.04 (assume @p628 (forall @t86 (or @t15 @t73 @t30))) % 0.86/1.04 (assume @p629 (forall @t86 (or @t229 @t232 @t228))) % 0.86/1.04 (assume @p630 (forall @t553 (or @t229 @t649 @t519))) % 0.86/1.04 (assume @p631 (forall (@list @t353 @t352 @t7 @t356 @t354 @t351 @t350 @t5) (or (= (tptp.hAPP @t470 @t7) @t615) @t355))) % 0.86/1.04 (assume @p632 (forall (@list @t353 @t7 @t352 @t356 @t354 @t351 @t350 @t5) (or (= @t614 @t615) @t355))) % 0.86/1.04 (assume @p633 (forall @t68 (or (tptp.c_HOL_Oord__class_Oless @t646 @t62 tptp.tc_nat) @t510 @t324))) % 0.86/1.04 (assume @p634 (forall @t207 @t205)) % 0.86/1.04 (assume @p635 (forall @t170 (tptp.c_HOL_Oord__class_Oless @t21 @t198 tptp.tc_nat))) % 0.86/1.04 (assume @p636 (forall @t265 (not (= @t215 @t24)))) % 0.86/1.04 (assume @p637 (forall @t652 (not (= @t651 @t24)))) % 0.86/1.04 (assume @p638 (forall (@list @t52 @t50 @t21 @t653) (or (tptp.c_Natural_Oevaln @t52 @t50 @t198 @t653) @t654))) % 0.86/1.04 (assume @p639 (forall @t264 (or @t635 @t634 @t316))) % 0.86/1.04 (assume @p640 (forall @t28 (or @t435 @t634 @t316))) % 0.86/1.04 (assume @p641 (forall @t28 (or @t435 @t312 @t203))) % 0.86/1.04 (assume @p642 (forall @t28 (= (tptp.c_HOL_Ominus__class_Ominus @t215 @t198 tptp.tc_nat) @t25))) % 0.86/1.04 (assume @p643 (forall @t658 (= (tptp.c_Nat_Onat_Onat__case @t132 @t131 @t657 @t5) @t656))) % 0.86/1.04 (assume @p644 (tptp.c_Orderings_Oorder__class_Omono tptp.c_Suc tptp.tc_nat tptp.tc_nat)) % 0.86/1.04 (assume @p645 (forall (@list @t624 @t625 @t36 @t21 @t5) (= (tptp.c_Power_Opower_Opower @t624 @t625 @t36 @t198 @t5) (tptp.hAPP (tptp.hAPP @t625 @t36) (tptp.c_Power_Opower_Opower @t624 @t625 @t36 @t21 @t5))))) % 0.86/1.04 (assume @p646 (forall (@list @t659) (tptp.c_Fun_Oinj__on tptp.c_Suc @t659 tptp.tc_nat tptp.tc_nat))) % 0.86/1.04 (assume @p647 (forall @t658 (= (tptp.c_Nat_Onat_Onat__rec @t132 @t131 @t657 @t5) (tptp.hAPP @t656 (tptp.c_Nat_Onat_Onat__rec @t132 @t131 @t655 @t5))))) % 0.86/1.04 (assume @p648 (forall @t265 (not (= @t24 @t215)))) % 0.86/1.04 (assume @p649 (forall @t652 (not (= @t24 @t651)))) % 0.86/1.04 (assume @p650 (forall @t28 (= @t661 @t660))) % 0.86/1.04 (assume @p651 (forall @t28 (= @t662 @t660))) % 0.86/1.04 (assume @p652 (forall @t28 (= (tptp.c_Orderings_Oord__class_Omax @t215 @t198 tptp.tc_nat) (tptp.hAPP tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t22 @t21 tptp.tc_nat))))) % 0.86/1.04 (assume @p653 (forall @t28 (or (= @t562 @t563) @t564))) % 0.86/1.04 (assume @p654 (forall (@list @t5 @t616 @t21 @t54) (or @t617 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t616 @t198 @t54 @t5) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t616 @t21 (tptp.hAPP @t616 @t54) @t5))))) % 0.86/1.04 (assume @p655 (forall @t28 (= @t661 @t662))) % 0.86/1.04 (assume @p656 (forall (@list @t161 @t132 @t131 @t367) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Nat_Onat_Onat__case @t132 @t131 (tptp.hAPP tptp.c_Suc @t367) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t161 (tptp.hAPP @t131 @t367)))))) % 0.86/1.04 (assume @p657 (forall (@list @t161 @t132 @t131 @t655) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Nat_Onat_Onat__case @t132 @t131 @t657 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t161 @t656))))) % 0.86/1.04 (assume @p658 (forall @t28 (or @t612 (= @t215 @t21) @t313))) % 0.86/1.04 (assume @p659 (forall @t28 (or @t29 @t318))) % 0.86/1.04 (assume @p660 (forall @t264 (or @t317 @t23))) % 0.86/1.04 (assume @p661 (forall @t250 (= (tptp.c_HOL_Ominus__class_Ominus @t331 (tptp.hAPP tptp.c_Suc @t62) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t25 @t62 tptp.tc_nat)))) % 0.86/1.04 (assume @p662 (forall @t170 (tptp.c_lessequals @t198 @t198 tptp.tc_nat))) % 0.86/1.04 (assume @p663 (forall @t28 (= (tptp.c_Orderings_Oord__class_Omin @t215 @t198 tptp.tc_nat) (tptp.hAPP tptp.c_Suc @t632)))) % 0.86/1.04 (assume @p664 (forall @t28 (or (= @t22 @t198) @t23 (not @t613)))) % 0.86/1.04 (assume @p665 (forall @t207 (or @t511 @t205))) % 0.86/1.04 (assume @p666 (forall @t28 (or @t313 @t634))) % 0.86/1.04 (assume @p667 (forall @t264 (or @t633 @t312))) % 0.86/1.04 (assume @p668 (forall (@list @t7 @t21) (or (tptp.c_HOL_Oord__class_Oless @t204 @t198 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t7 @t21 tptp.tc_nat))))) % 0.86/1.04 (assume @p669 (forall @t28 (or @t312 (not @t663)))) % 0.86/1.04 (assume @p670 (forall @t28 (or @t663 @t313))) % 0.86/1.04 (assume @p671 (forall (@list @t21 @t161 @t50 @t279) (or (= @t21 (tptp.hAPP tptp.c_Suc @t665)) @t664))) % 0.86/1.04 (assume @p672 (forall @t666 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t175 @t219 @t298 @t124 tptp.t_a) tptp.v_x) (tptp.hAPP @t175 (tptp.hAPP @t219 tptp.v_x))))) % 0.86/1.04 (assume @p673 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.86/1.04 (assume @p674 (forall @t666 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t175 @t219 tptp.t_a @t298 @t124) tptp.v_x) (tptp.hAPP @t219 (tptp.hAPP @t175 tptp.v_x))))) % 0.86/1.04 (assume @p675 (forall @t668 (not (= @t667 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.04 (assume @p676 (forall (@list @t47 @t46 @t140) (not (= @t465 @t667)))) % 0.86/1.04 (assume @p677 (forall @t671 (= (tptp.c_Com_Ocom_Ocom__rec @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t670 @t5) @t669))) % 0.86/1.04 (assume @p678 (forall (@list @t140 @t47 @t93 @t89) (not (= @t667 @t174)))) % 0.86/1.04 (assume @p679 (forall (@list @t47 @t93 @t89 @t140) (not (= @t174 @t667)))) % 0.86/1.04 (assume @p680 (forall (@list @t140 @t138 @t47) (not (= @t667 @t159)))) % 0.86/1.04 (assume @p681 (forall (@list @t138 @t47 @t140) (not (= @t159 @t667)))) % 0.86/1.04 (assume @p682 (forall (@list @t140 @t48 @t47 @t46) (not (= @t667 @t49)))) % 0.86/1.04 (assume @p683 (forall (@list @t140 @t47 @t46) (not (= @t667 @t465)))) % 0.86/1.04 (assume @p684 (forall (@list @t137 @t140 @t2 @t142) (not (= @t141 @t670)))) % 0.86/1.04 (assume @p685 (forall (@list @t140 @t93 @t89) (not (= @t667 @t94)))) % 0.86/1.04 (assume @p686 (forall (@list @t93 @t89 @t140) (not (= @t94 @t667)))) % 0.86/1.04 (assume @p687 (forall (@list @t48 @t47 @t46 @t140) (not (= @t49 @t667)))) % 0.86/1.04 (assume @p688 (forall (@list @t142 @t137 @t140 @t2) (not (= @t670 @t141)))) % 0.86/1.04 (assume @p689 (forall @t671 (= (tptp.c_Com_Ocom_Ocom__case @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t670 @t5) @t669))) % 0.86/1.04 (assume @p690 (forall @t668 (not (= tptp.c_Com_Ocom_OSKIP @t667)))) % 0.86/1.04 (assume @p691 (forall (@list @t161 @t132 @t367 @t673 @t672) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t132 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t367 @t673 @t672 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t161 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t132 @t367) @t673) @t672)))))) % 0.86/1.04 (assume @p692 (forall (@list @t161 @t132 @t675 @t46 @t674) (or (not (tptp.hBOOL (tptp.hAPP @t161 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t132 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t675 @t46 @t674 tptp.t_b) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t161 @t676))))) % 0.86/1.04 (assume @p693 (forall @t678 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t132 @t677 @t124 @t5) @t676))) % 0.86/1.04 (assume @p694 (forall @t678 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t132 @t677 @t124 @t5) @t676))) % 0.86/1.04 (assume @p695 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 0.86/1.04 (assume @p696 (forall @t596 (or @t595 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t296 @t679) @t593)))))) % 0.86/1.04 (assume @p697 (forall @t596 (or @t595 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t679) @t594))))) % 0.86/1.04 (assume @p698 (forall (@list @t443) (or @t445 (= @t680 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.86/1.04 (assume @p699 (= (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP tptp.v_P @t681))) % 0.86/1.04 (assume @p700 (= (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t682 @t681))) % 0.86/1.04 (assume @p701 (= (tptp.c_COMBC tptp.v_P tptp.v_Q tptp.v_R tptp.t_a tptp.t_b tptp.t_c) (tptp.hAPP @t682 tptp.v_Q))) % 0.86/1.04 (assume @p702 (forall (@list @t21 @t687 @t457 @t417) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t687 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t687 @t457 @t685))) (tptp.hBOOL (tptp.c_in @t686 @t417 @t685)) @t684))) % 0.86/1.04 (assume @p703 (forall (@list @t417 @t457 @t7) (or @t683 (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 @t417 @t457) @t7 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t7 @t417 @t685)))))) % 0.86/1.04 (assume @p704 (forall (@list @t21 @t688 @t457 @t417) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t688 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t688 @t457 @t685))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t686 tptp.t_a)) @t684))) % 0.86/1.04 (assume @p705 (forall @t602 (= (tptp.c_Option_Othe (tptp.c_Option_Ooption_OSome @t7 @t5) @t5) @t7))) % 0.86/1.04 (assume @p706 (forall @t694 (or @t693 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t692 @t417 @t415) @t691 @t5))))) % 0.86/1.04 (assume @p707 (forall @t694 (or @t693 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t417 @t691 @t5))))) % 0.86/1.04 (assume @p708 (forall (@list @t161 @t50 @t21 @t279) (or (tptp.c_Natural_Oevaln @t695 @t50 @t665 @t279) @t664))) % 0.86/1.04 (assume @p709 (= (tptp.hAPP @t696 tptp.v_x) (tptp.c_in tptp.v_x @t696 tptp.t_a))) % 0.86/1.04 (assume @p710 (forall (@list @t296 @t697 @t653 @t52 @t50 @t21 @t161) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t296 @t697) @t653)) @t654 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t697) @t50))) (not @t595)))) % 0.86/1.04 (assume @p711 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 0.86/1.04 (assume @p712 (forall (@list @t21 @t7 @t457) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t7 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t7 @t457 @t685))) (tptp.hBOOL (tptp.c_in @t698 @t457 @t685))))) % 0.86/1.04 (assume @p713 (forall (@list @t161 @t443 @t296 @t5) (tptp.c_Hoare__Mirabelle_Otriple__valid @t24 @t692 @t5))) % 0.86/1.04 (assume @p714 (forall (@list @t21 @t367 @t457) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t367 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t367 @t457 @t685))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t198 @t698 tptp.t_a))))) % 0.86/1.04 (assume @p715 (forall (@list @t443 @t428 @t279) (or (tptp.c_Natural_Oevalc @t444 @t428 @t279) (not (tptp.c_Natural_Oevalc @t689 @t428 @t279))))) % 0.86/1.04 (assume @p716 (forall (@list @t161 @t50 @t279) (or (tptp.c_Natural_Oevalc @t695 @t50 @t279) (not (tptp.c_Natural_Oevalc @t446 @t50 @t279))))) % 0.86/1.04 (assume @p717 (forall (@list @t443 @t428 @t21 @t279) (or (tptp.c_Natural_Oevaln @t444 @t428 @t198 @t279) (not (tptp.c_Natural_Oevaln @t689 @t428 @t21 @t279))))) % 0.86/1.04 (assume @p718 (forall @t170 (not (= @t21 @t198)))) % 0.86/1.04 (assume @p719 (forall @t170 (not (= @t198 @t21)))) % 0.86/1.04 (assume @p720 (forall @t702 (or @t701 (= @t674 @t699)))) % 0.86/1.04 (assume @p721 (forall @t702 (or @t701 @t572))) % 0.86/1.04 (assume @p722 (forall @t702 (or @t701 (= @t675 @t700)))) % 0.86/1.04 (assume @p723 (forall (@list @t655 @t650) (or (not (= @t657 @t651)) (= @t655 @t650)))) % 0.86/1.04 (assume @p724 (forall @t523 (or (not (= @t204 (tptp.hAPP tptp.c_Suc @t10))) @t452))) % 0.86/1.04 (assume @p725 (forall (@list @t21 @t285 @t5) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t21 @t285 @t5) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t198 @t285 @t5))))) % 0.86/1.04 (assume @p726 (forall (@list @t7 @t703 @t5) (or @t705 (not @t704)))) % 0.86/1.04 (assume @p727 (forall (@list @t703 @t7 @t5) (or @t704 (not @t705)))) % 0.86/1.04 (assume @p728 (forall @t708 (or @t707 (not @t706)))) % 0.86/1.04 (assume @p729 (forall @t708 (or @t706 (not @t707)))) % 0.86/1.04 (assume @p730 (forall (@list @t142 @t140) (or (not (= @t670 @t667)) @t146))) % 0.86/1.04 (assume @p731 @t709) % 0.86/1.04 (assume @p732 (not @t712)) % 0.86/1.04 (assume @p733 (forall @t207 (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_na @t7 tptp.t_a) (not (tptp.hBOOL (tptp.c_in @t7 tptp.v_G @t685)))))) % 0.86/1.04 (assume @p734 (forall @t207 (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_na (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t715 (tptp.c_Com_Ocom_OBODY @t7) @t714 tptp.t_a) tptp.t_a) @t713))) % 0.86/1.04 (assume @p735 (forall @t207 (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_na (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t715 (tptp.c_Option_Othe (tptp.c_Com_Obody @t7) tptp.tc_Com_Ocom) @t714 tptp.t_a) tptp.t_a) @t713))) % 0.86/1.04 (assume @p736 (forall @t719 (or (tptp.class_Orderings_Opreorder @t718) (not (tptp.class_Orderings_Opreorder @t716))))) % 0.86/1.04 (assume @p737 (forall @t719 (or (tptp.class_Orderings_Oorder @t718) (not (tptp.class_Orderings_Oorder @t716))))) % 0.86/1.04 (assume @p738 (forall @t719 (or (tptp.class_Orderings_Obot @t718) (not (tptp.class_Orderings_Obot @t716))))) % 0.86/1.04 (assume @p739 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.86/1.04 (assume @p740 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.86/1.04 (assume @p741 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.86/1.04 (assume @p742 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.86/1.04 (assume @p743 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.86/1.04 (assume @p744 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.86/1.04 (assume @p745 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.86/1.04 (assume @p746 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.86/1.04 (assume @p747 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.86/1.04 (assume @p748 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.86/1.04 (assume @p749 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.86/1.04 (assume @p750 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.86/1.04 (assume @p751 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.86/1.04 (assume @p752 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.86/1.04 (assume @p753 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.86/1.04 (assume @p754 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.86/1.04 (assume @p755 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.86/1.04 (assume @p756 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.86/1.04 (assume @p757 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.86/1.04 (assume @p758 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.86/1.04 (assume @p759 (forall @t602 (tptp.c_fequal @t7 @t7 @t5))) % 0.86/1.04 (assume @p760 (forall (@list @t441 @t578 @t5) (or (= @t441 @t578) (not (tptp.c_fequal @t441 @t578 @t5))))) % 0.86/1.04 (step @p761 :rule instantiate :premises (@p735) :args ((@list tptp.v_x))) % 0.86/1.04 (step @p762 :rule instantiate :premises (@p728) :args ((@list tptp.v_na @t711 tptp.v_x @t710 tptp.t_a))) % 0.86/1.04 (step @p763 :rule cnf_or_pos :args (@t722)) % 0.86/1.04 (step @p764 :rule reordering :premises (@p763) :args ((or @t712 @t721 (not @t722)))) % 0.86/1.04 (step @p765 :rule chain_m_resolution :premises (@p764 @p732 @p762) :args (@t721 (@list true false) (@list @t712 @t722))) % 0.86/1.04 (step @p766 :rule cnf_or_pos :args (@t724)) % 0.86/1.04 (step @p767 :rule reordering :premises (@p766) :args ((or @t723 @t720 (not @t724)))) % 0.86/1.04 (step @p768 false :rule chain_m_resolution :premises (@p767 @p765 @p761 @p731) :args (false (@list true false false) (@list @t720 @t724 @t709))) % 0.86/1.04 ) % 0.86/1.04 % SZS output end Proof % 0.86/1.04 % cvc5 exiting %------------------------------------------------------------------------------