%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV902-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:35 AM UTC 2026 % Result : Unsatisfiable 0.71s 1.00s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV902-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:20:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.24/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.24/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/1.00 % SZS status Unsatisfiable % 0.71/1.00 % SZS output start Proof % 0.83/1.03 ( % 0.83/1.03 (declare-sort $$unsorted 0) % 0.83/1.03 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_nat $$unsorted) % 0.83/1.03 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.v_y $$unsorted) % 0.83/1.03 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.83/1.03 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Predicate_Oinv__imagep (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_bool $$unsorted) % 0.83/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Com_Obody $$unsorted) % 0.83/1.03 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Map_Osko__Map__XdomD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.v_pn $$unsorted) % 0.83/1.03 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.v_Fa $$unsorted) % 0.83/1.03 (declare-const tptp.v_x $$unsorted) % 0.83/1.03 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.t_a $$unsorted) % 0.83/1.03 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.83/1.03 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.83/1.03 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.83/1.03 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.83/1.03 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 0.83/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.03 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.83/1.03 (define @t1 () (@var "T_a" $$unsorted)) % 0.83/1.03 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.83/1.03 (define @t3 () (@var "V_B" $$unsorted)) % 0.83/1.03 (define @t4 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t2)) % 0.83/1.03 (define @t5 () (@var "V_A" $$unsorted)) % 0.83/1.03 (define @t6 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2)) % 0.83/1.03 (define @t7 () (tptp.hAPP @t6 @t5)) % 0.83/1.03 (define @t8 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t2)) % 0.83/1.03 (define @t9 () (@list @t5 @t3 @t1)) % 0.83/1.03 (define @t10 () (@var "V_y" $$unsorted)) % 0.83/1.03 (define @t11 () (tptp.c_HOL_Ouminus__class_Ouminus @t10 @t1)) % 0.83/1.03 (define @t12 () (@var "V_x" $$unsorted)) % 0.83/1.03 (define @t13 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 0.83/1.03 (define @t14 () (tptp.hAPP @t13 @t12)) % 0.83/1.03 (define @t15 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t10 @t1)) % 0.83/1.03 (define @t16 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.83/1.03 (define @t17 () (@list @t1 @t12 @t10)) % 0.83/1.03 (define @t18 () (@var "V_C" $$unsorted)) % 0.83/1.03 (define @t19 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t18 @t2)) % 0.83/1.03 (define @t20 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t18 @t2)) % 0.83/1.03 (define @t21 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t20 @t2)) % 0.83/1.03 (define @t22 () (@list @t5 @t3 @t18 @t1)) % 0.83/1.03 (define @t23 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t2)) % 0.83/1.03 (define @t24 () (@list @t5 @t3 @t1 @t18)) % 0.83/1.03 (define @t25 () (@var "V_z" $$unsorted)) % 0.83/1.03 (define @t26 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t25 @t1)) % 0.83/1.03 (define @t27 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t26 @t1)) % 0.83/1.03 (define @t28 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t10 @t1)) % 0.83/1.03 (define @t29 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t25 @t1) @t27)) % 0.83/1.03 (define @t30 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.83/1.03 (define @t31 () (@list @t1 @t12 @t10 @t25)) % 0.83/1.03 (define @t32 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t25 @t1)) % 0.83/1.03 (define @t33 () (= @t27 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t32 @t1))) % 0.83/1.03 (define @t34 () (not (tptp.class_Lattices_Olattice @t1))) % 0.83/1.03 (define @t35 () (tptp.hAPP @t6 @t3)) % 0.83/1.03 (define @t36 () (tptp.hAPP @t35 @t5)) % 0.83/1.03 (define @t37 () (tptp.hAPP @t7 @t3)) % 0.83/1.03 (define @t38 () (@list @t1 @t5 @t3)) % 0.83/1.03 (define @t39 () (tptp.hAPP @t13 @t10)) % 0.83/1.03 (define @t40 () (tptp.hAPP @t39 @t12)) % 0.83/1.03 (define @t41 () (tptp.hAPP @t14 @t10)) % 0.83/1.03 (define @t42 () (= @t41 @t40)) % 0.83/1.03 (define @t43 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.83/1.03 (define @t44 () (tptp.c_lessequals @t5 @t3 @t2)) % 0.83/1.03 (define @t45 () (not @t44)) % 0.83/1.03 (define @t46 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t5 @t2)) % 0.83/1.03 (define @t47 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t46 @t2)) % 0.83/1.03 (define @t48 () (tptp.hAPP @t14 @t26)) % 0.83/1.03 (define @t49 () (tptp.hAPP @t14 @t25)) % 0.83/1.03 (define @t50 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t49 @t1)) % 0.83/1.03 (define @t51 () (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t1)) % 0.83/1.03 (define @t52 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.83/1.03 (define @t53 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.83/1.03 (define @t54 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t5 @t2)) % 0.83/1.03 (define @t55 () (tptp.hAPP @t6 @t23)) % 0.83/1.03 (define @t56 () (tptp.hAPP @t6 @t18)) % 0.83/1.03 (define @t57 () (tptp.hAPP @t56 @t5)) % 0.83/1.03 (define @t58 () (tptp.hAPP @t35 @t18)) % 0.83/1.03 (define @t59 () (@list @t1 @t5 @t3 @t18)) % 0.83/1.03 (define @t60 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.83/1.03 (define @t61 () (tptp.c_Option_Ooption_ONone @t1)) % 0.83/1.03 (define @t62 () (@list @t1)) % 0.83/1.03 (define @t63 () (tptp.c_Option_Ooption_OSome @t12 @t1)) % 0.83/1.03 (define @t64 () (@var "V_k" $$unsorted)) % 0.83/1.03 (define @t65 () (@var "T_b" $$unsorted)) % 0.83/1.03 (define @t66 () (@var "V_n" $$unsorted)) % 0.83/1.03 (define @t67 () (@var "V_m" $$unsorted)) % 0.83/1.03 (define @t68 () (tptp.hAPP (tptp.c_Map_Omap__add @t67 @t66 @t65 @t1) @t64)) % 0.83/1.03 (define @t69 () (= @t68 @t63)) % 0.83/1.03 (define @t70 () (tptp.hAPP @t66 @t64)) % 0.83/1.03 (define @t71 () (= @t70 @t61)) % 0.83/1.03 (define @t72 () (not @t71)) % 0.83/1.03 (define @t73 () (tptp.hAPP @t67 @t64)) % 0.83/1.03 (define @t74 () (= @t73 @t63)) % 0.83/1.03 (define @t75 () (tptp.c_Orderings_Otop__class_Otop @t2)) % 0.83/1.03 (define @t76 () (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t2)) % 0.83/1.03 (define @t77 () (@list @t5 @t1)) % 0.83/1.03 (define @t78 () (@list @t1 @t12)) % 0.83/1.03 (define @t79 () (= @t73 @t61)) % 0.83/1.03 (define @t80 () (= @t68 @t61)) % 0.83/1.03 (define @t81 () (not @t80)) % 0.83/1.03 (define @t82 () (@list @t67 @t66 @t65 @t1 @t64)) % 0.83/1.03 (define @t83 () (@var "V_f" $$unsorted)) % 0.83/1.03 (define @t84 () (tptp.c_Set_Ovimage @t83 @t5 @t1 @t65)) % 0.83/1.03 (define @t85 () (tptp.tc_fun @t65 tptp.tc_bool)) % 0.83/1.03 (define @t86 () (@list @t83 @t5 @t65 @t1)) % 0.83/1.03 (define @t87 () (not (tptp.c_Fun_Oinj__on @t83 @t75 @t1 @t65))) % 0.83/1.03 (define @t88 () (tptp.c_Set_Oimage @t83 @t3 @t1 @t65)) % 0.83/1.03 (define @t89 () (tptp.c_Set_Oimage @t83 @t5 @t1 @t65)) % 0.83/1.03 (define @t90 () (tptp.c_Set_Oimage @t83 @t8 @t1 @t65)) % 0.83/1.03 (define @t91 () (= @t90 (tptp.c_HOL_Ominus__class_Ominus @t89 @t88 @t85))) % 0.83/1.03 (define @t92 () (@list @t83 @t5 @t3 @t1 @t65)) % 0.83/1.03 (define @t93 () (= @t5 @t60)) % 0.83/1.03 (define @t94 () (@var "V_M" $$unsorted)) % 0.83/1.03 (define @t95 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t65))) % 0.83/1.03 (define @t96 () (tptp.c_Finite__Set_Ofinite @t75 @t1)) % 0.83/1.03 (define @t97 () (not @t96)) % 0.83/1.03 (define @t98 () (tptp.c_Finite__Set_Ocard @t5 @t1)) % 0.83/1.03 (define @t99 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t2)) % 0.83/1.03 (define @t100 () (@list @t3 @t5 @t1)) % 0.83/1.03 (define @t101 () (tptp.hAPP @t5 tptp.v_x)) % 0.83/1.03 (define @t102 () (tptp.tc_fun tptp.t_a @t65)) % 0.83/1.03 (define @t103 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t18 @t2)) % 0.83/1.03 (define @t104 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t18 @t2)) % 0.83/1.03 (define @t105 () (@var "V_b" $$unsorted)) % 0.83/1.03 (define @t106 () (tptp.c_HOL_Ouminus__class_Ouminus @t105 @t1)) % 0.83/1.03 (define @t107 () (@var "V_a" $$unsorted)) % 0.83/1.03 (define @t108 () (tptp.c_HOL_Ouminus__class_Ouminus @t107 @t1)) % 0.83/1.03 (define @t109 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t108 @t106 @t1)) % 0.83/1.03 (define @t110 () (tptp.hAPP @t13 @t107)) % 0.83/1.03 (define @t111 () (tptp.hAPP @t110 @t105)) % 0.83/1.03 (define @t112 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.83/1.03 (define @t113 () (@list @t1 @t107 @t105)) % 0.83/1.03 (define @t114 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t12 @t1)) % 0.83/1.03 (define @t115 () (= @t28 @t114)) % 0.83/1.03 (define @t116 () (@var "V_d" $$unsorted)) % 0.83/1.03 (define @t117 () (@var "V_c" $$unsorted)) % 0.83/1.03 (define @t118 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t117 @t116 @t1)) % 0.83/1.03 (define @t119 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t107 @t105 @t1)) % 0.83/1.03 (define @t120 () (tptp.c_HOL_Oord__class_Oless @t119 @t118 @t2)) % 0.83/1.03 (define @t121 () (not @t120)) % 0.83/1.03 (define @t122 () (tptp.c_lessequals @t107 @t105 @t1)) % 0.83/1.03 (define @t123 () (not @t122)) % 0.83/1.03 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t117 @t107 @t1)) % 0.83/1.03 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t105 @t116 @t1)) % 0.83/1.03 (define @t126 () (not (tptp.class_Orderings_Oorder @t1))) % 0.83/1.03 (define @t127 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t28 @t1) @t28)) % 0.83/1.03 (define @t128 () (tptp.hAPP @t6 @t76)) % 0.83/1.03 (define @t129 () (tptp.hAPP @t13 @t51)) % 0.83/1.03 (define @t130 () (tptp.hAPP (tptp.hAPP @t13 @t108) @t106)) % 0.83/1.03 (define @t131 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t105 @t1)) % 0.83/1.03 (define @t132 () (@var "V_times" $$unsorted)) % 0.83/1.03 (define @t133 () (tptp.c_Finite__Set_Ofold1 @t132 @t5 @t1)) % 0.83/1.03 (define @t134 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t132 @t1))) % 0.83/1.03 (define @t135 () (tptp.c_Finite__Set_Ofinite @t5 @t1)) % 0.83/1.03 (define @t136 () (not @t135)) % 0.83/1.03 (define @t137 () (not (tptp.c_Finite__Set_Ofinite @t3 @t1))) % 0.83/1.03 (define @t138 () (= @t3 @t60)) % 0.83/1.03 (define @t139 () (= @t37 @t60)) % 0.83/1.03 (define @t140 () (not @t139)) % 0.83/1.03 (define @t141 () (@var "V_P" $$unsorted)) % 0.83/1.03 (define @t142 () (tptp.c_Collect @t141 @t1)) % 0.83/1.03 (define @t143 () (tptp.hBOOL (tptp.c_in @t12 (tptp.hAPP @t7 @t142) @t1))) % 0.83/1.03 (define @t144 () (not @t143)) % 0.83/1.03 (define @t145 () (tptp.hBOOL (tptp.c_in @t12 @t5 @t1))) % 0.83/1.03 (define @t146 () (tptp.c_Set_Ovimage @t83 @t3 @t1 @t65)) % 0.83/1.03 (define @t147 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t85)) % 0.83/1.03 (define @t148 () (@list @t83 @t5 @t3 @t65 @t1)) % 0.83/1.03 (define @t149 () (tptp.c_Natural_Oevalc @t117)) % 0.83/1.03 (define @t150 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate)) % 0.83/1.03 (define @t151 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t117)) % 0.83/1.03 (define @t152 () (@list @t117)) % 0.83/1.03 (define @t153 () (tptp.hBOOL (tptp.hAPP @t37 @t12))) % 0.83/1.03 (define @t154 () (not @t153)) % 0.83/1.03 (define @t155 () (tptp.hAPP @t3 @t12)) % 0.83/1.03 (define @t156 () (tptp.hBOOL @t155)) % 0.83/1.03 (define @t157 () (tptp.hAPP @t5 @t12)) % 0.83/1.03 (define @t158 () (tptp.hBOOL @t157)) % 0.83/1.03 (define @t159 () (@list @t5 @t12 @t1 @t3)) % 0.83/1.03 (define @t160 () (tptp.c_Fun_Oinj__on @t83 @t23 @t1 @t65)) % 0.83/1.03 (define @t161 () (not @t160)) % 0.83/1.03 (define @t162 () (tptp.c_Fun_Oinj__on @t83 @t3 @t1 @t65)) % 0.83/1.03 (define @t163 () (@list @t83 @t3 @t1 @t65 @t5)) % 0.83/1.03 (define @t164 () (tptp.c_Fun_Oinj__on @t83 @t5 @t1 @t65)) % 0.83/1.03 (define @t165 () (@list @t83 @t5 @t1 @t65 @t3)) % 0.83/1.03 (define @t166 () (not (tptp.c_lessequals @t3 @t89 @t85))) % 0.83/1.03 (define @t167 () (@var "V_g" $$unsorted)) % 0.83/1.03 (define @t168 () (tptp.c_Map_Omap__add @t167 @t83 @t1 @t65)) % 0.83/1.03 (define @t169 () (@list @t83 @t167 @t1 @t65)) % 0.83/1.03 (define @t170 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.83/1.03 (define @t171 () (tptp.c_lessequals @t117 @t107 @t1)) % 0.83/1.03 (define @t172 () (@list @t1 @t117 @t107 @t105 @t116)) % 0.83/1.03 (define @t173 () (tptp.c_lessequals @t105 @t116 @t1)) % 0.83/1.03 (define @t174 () (@list @t1 @t105 @t116 @t107 @t117)) % 0.83/1.03 (define @t175 () (tptp.c_lessequals @t5 @t20 @t2)) % 0.83/1.03 (define @t176 () (tptp.c_lessequals @t8 @t18 @t2)) % 0.83/1.03 (define @t177 () (tptp.c_HOL_Ouminus__class_Ouminus @t108 @t1)) % 0.83/1.03 (define @t178 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.83/1.03 (define @t179 () (@list @t1 @t107)) % 0.83/1.03 (define @t180 () (tptp.c_HOL_Ouminus__class_Ouminus @t106 @t1)) % 0.83/1.03 (define @t181 () (@list @t1 @t105)) % 0.83/1.03 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t12 @t131 @t1)) % 0.83/1.03 (define @t183 () (@list @t1 @t12 @t107 @t105)) % 0.83/1.03 (define @t184 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.83/1.03 (define @t185 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t85)) % 0.83/1.03 (define @t186 () (tptp.hAPP (tptp.hAPP @t185 @t5) @t3)) % 0.83/1.03 (define @t187 () (@list @t83 @t65 @t5 @t3 @t1)) % 0.83/1.03 (define @t188 () (@var "V_h" $$unsorted)) % 0.83/1.03 (define @t189 () (tptp.c_Map_Omap__le @t167 @t188 @t1 @t65)) % 0.83/1.03 (define @t190 () (tptp.c_Map_Omap__add @t83 @t167 @t1 @t65)) % 0.83/1.03 (define @t191 () (tptp.c_Map_Omap__le @t83 @t190 @t1 @t65)) % 0.83/1.03 (define @t192 () (not @t191)) % 0.83/1.03 (define @t193 () (tptp.c_Map_Omap__le @t190 @t188 @t1 @t65)) % 0.83/1.03 (define @t194 () (tptp.c_HOL_Oord__class_Oless @t107 @t106 @t1)) % 0.83/1.03 (define @t195 () (tptp.c_HOL_Oord__class_Oless @t105 @t108 @t1)) % 0.83/1.03 (define @t196 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.83/1.03 (define @t197 () (@list @t1 @t105 @t107)) % 0.83/1.03 (define @t198 () (tptp.c_HOL_Oord__class_Oless @t108 @t105 @t1)) % 0.83/1.03 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t106 @t107 @t1)) % 0.83/1.03 (define @t200 () (tptp.hBOOL (tptp.c_in @t117 @t5 @t1))) % 0.83/1.03 (define @t201 () (not @t200)) % 0.83/1.03 (define @t202 () (tptp.hBOOL (tptp.c_in @t117 @t3 @t1))) % 0.83/1.03 (define @t203 () (not @t202)) % 0.83/1.03 (define @t204 () (tptp.hBOOL (tptp.c_in @t117 @t37 @t1))) % 0.83/1.03 (define @t205 () (@var "V_y_H" $$unsorted)) % 0.83/1.03 (define @t206 () (@var "V_x_H" $$unsorted)) % 0.83/1.03 (define @t207 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t205 @t1)) % 0.83/1.03 (define @t208 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 @t1)) % 0.83/1.03 (define @t209 () (@var "V_xa" $$unsorted)) % 0.83/1.03 (define @t210 () (tptp.c_Orderings_Obot__class_Obot @t85)) % 0.83/1.03 (define @t211 () (= (tptp.hAPP (tptp.hAPP @t185 @t90) (tptp.c_Set_Oimage @t83 @t46 @t1 @t65)) @t210)) % 0.83/1.03 (define @t212 () (@list @t65 @t83 @t5 @t3 @t1)) % 0.83/1.03 (define @t213 () (not @t164)) % 0.83/1.03 (define @t214 () (not @t162)) % 0.83/1.03 (define @t215 () (@var "V_R" $$unsorted)) % 0.83/1.03 (define @t216 () (@var "V_Q" $$unsorted)) % 0.83/1.03 (define @t217 () (tptp.hAPP @t216 @t215)) % 0.83/1.03 (define @t218 () (tptp.hAPP @t141 @t215)) % 0.83/1.03 (define @t219 () (@var "T_c" $$unsorted)) % 0.83/1.03 (define @t220 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t3 @t65 @t2)) % 0.83/1.03 (define @t221 () (@list @t5 @t65 @t3 @t1)) % 0.83/1.03 (define @t222 () (tptp.c_HOL_Oord__class_Oless @t10 @t12 @t1)) % 0.83/1.03 (define @t223 () (not @t222)) % 0.83/1.03 (define @t224 () (not (tptp.c_HOL_Oord__class_Oless @t25 @t10 @t1))) % 0.83/1.03 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t25 @t12 @t1)) % 0.83/1.03 (define @t226 () (@list @t1 @t25 @t12 @t10)) % 0.83/1.03 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t2)) % 0.83/1.03 (define @t228 () (not @t227)) % 0.83/1.03 (define @t229 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t18 @t2))) % 0.83/1.03 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t5 @t18 @t2)) % 0.83/1.03 (define @t231 () (@list @t5 @t18 @t1 @t3)) % 0.83/1.03 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t12 @t10 @t1)) % 0.83/1.03 (define @t233 () (not @t232)) % 0.83/1.03 (define @t234 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t25 @t1))) % 0.83/1.03 (define @t235 () (tptp.c_HOL_Oord__class_Oless @t12 @t25 @t1)) % 0.83/1.03 (define @t236 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.83/1.03 (define @t237 () (@list @t1 @t12 @t25 @t10)) % 0.83/1.03 (define @t238 () (@var "V_F" $$unsorted)) % 0.83/1.03 (define @t239 () (tptp.c_Finite__Set_Ofinite @t238 @t1)) % 0.83/1.03 (define @t240 () (not @t239)) % 0.83/1.03 (define @t241 () (tptp.c_Orderings_Otop__class_Otop @t85)) % 0.83/1.03 (define @t242 () (tptp.hBOOL (tptp.hAPP @t141 @t12))) % 0.83/1.03 (define @t243 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.83/1.03 (define @t244 () (@list @t1 @t10 @t25 @t12)) % 0.83/1.03 (define @t245 () (tptp.hAPP @t7 @t18)) % 0.83/1.03 (define @t246 () (tptp.hAPP @t7 @t20)) % 0.83/1.03 (define @t247 () (@list @t1 @t3 @t18 @t5)) % 0.83/1.03 (define @t248 () (tptp.hAPP @t167 tptp.v_x)) % 0.83/1.03 (define @t249 () (tptp.hAPP @t83 tptp.v_x)) % 0.83/1.03 (define @t250 () (not (tptp.class_Lattices_Olattice @t65))) % 0.83/1.03 (define @t251 () (@list @t65 @t83 @t167)) % 0.83/1.03 (define @t252 () (@list @t83 @t5 @t1)) % 0.83/1.03 (define @t253 () (@var "V_top" $$unsorted)) % 0.83/1.03 (define @t254 () (@var "V_bot" $$unsorted)) % 0.83/1.03 (define @t255 () (@var "V_sup" $$unsorted)) % 0.83/1.03 (define @t256 () (@var "V_inf" $$unsorted)) % 0.83/1.03 (define @t257 () (@var "V_less" $$unsorted)) % 0.83/1.03 (define @t258 () (@var "V_less__eq" $$unsorted)) % 0.83/1.03 (define @t259 () (@var "V_Sup" $$unsorted)) % 0.83/1.03 (define @t260 () (@var "V_Inf" $$unsorted)) % 0.83/1.03 (define @t261 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t1))) % 0.83/1.03 (define @t262 () (@list @t1 @t5)) % 0.83/1.03 (define @t263 () (tptp.c_Complete__Lattice_OInf__class_OInf @t5 @t1)) % 0.83/1.03 (define @t264 () (tptp.c_Set_Oinsert @t107 @t5 @t1)) % 0.83/1.03 (define @t265 () (@list @t1 @t107 @t5)) % 0.83/1.03 (define @t266 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t85)) % 0.83/1.03 (define @t267 () (@list @t83 @t5 @t1 @t65)) % 0.83/1.03 (define @t268 () (@list @t83 @t65 @t1)) % 0.83/1.03 (define @t269 () (tptp.c_Complete__Lattice_OSup__class_OSup @t5 @t1)) % 0.83/1.03 (define @t270 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.83/1.03 (define @t271 () (@list @t1 @t3)) % 0.83/1.03 (define @t272 () (@list @t83 @t1 @t65)) % 0.83/1.03 (define @t273 () (@var "V_m2" $$unsorted)) % 0.83/1.03 (define @t274 () (@var "V_m1" $$unsorted)) % 0.83/1.03 (define @t275 () (@var "V_m3" $$unsorted)) % 0.83/1.03 (define @t276 () (tptp.c_Map_Odom @t67 @t1 @t65)) % 0.83/1.03 (define @t277 () (= @t5 @t3)) % 0.83/1.03 (define @t278 () (not (= @t89 @t88))) % 0.83/1.03 (define @t279 () (= @t12 @t209)) % 0.83/1.03 (define @t280 () (@var "V_I" $$unsorted)) % 0.83/1.03 (define @t281 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t280 @t5 @t1 @t85)) % 0.83/1.03 (define @t282 () (= (tptp.c_Set_Oimage @t83 @t37 @t1 @t65) (tptp.hAPP (tptp.hAPP @t185 @t89) @t88))) % 0.83/1.03 (define @t283 () (tptp.c_lessequals @t18 @t5 @t2)) % 0.83/1.03 (define @t284 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t18 @t2) @t246)) % 0.83/1.03 (define @t285 () (not @t283)) % 0.83/1.03 (define @t286 () (tptp.c_Map_Omap__add @t274 @t273 @t1 @t65)) % 0.83/1.03 (define @t287 () (tptp.hAPP @t132 @t105)) % 0.83/1.03 (define @t288 () (tptp.hAPP @t132 @t107)) % 0.83/1.03 (define @t289 () (tptp.hAPP @t288 (tptp.hAPP @t287 @t117))) % 0.83/1.03 (define @t290 () (tptp.hAPP @t288 @t105)) % 0.83/1.03 (define @t291 () (@list @t132 @t107 @t105 @t117 @t1)) % 0.83/1.03 (define @t292 () (= @t12 @t10)) % 0.83/1.03 (define @t293 () (tptp.hAPP @t83 @t10)) % 0.83/1.03 (define @t294 () (tptp.hAPP @t83 @t12)) % 0.83/1.03 (define @t295 () (not (= @t294 @t293))) % 0.83/1.03 (define @t296 () (@list @t83 @t12 @t10 @t1 @t65)) % 0.83/1.03 (define @t297 () (tptp.hBOOL (tptp.hAPP @t23 @t12))) % 0.83/1.03 (define @t298 () (not @t156)) % 0.83/1.03 (define @t299 () (@list @t5 @t3 @t1 @t12)) % 0.83/1.03 (define @t300 () (not @t158)) % 0.83/1.03 (define @t301 () (tptp.hAPP @t39 @t25)) % 0.83/1.03 (define @t302 () (tptp.hAPP @t14 @t301)) % 0.83/1.03 (define @t303 () (= (tptp.hAPP (tptp.hAPP @t13 @t41) @t25) @t302)) % 0.83/1.03 (define @t304 () (= @t302 (tptp.hAPP @t39 @t49))) % 0.83/1.03 (define @t305 () (tptp.hAPP @t7 @t58)) % 0.83/1.03 (define @t306 () (tptp.c_HOL_Oord__class_Oless @t107 @t105 @t1)) % 0.83/1.03 (define @t307 () (not @t306)) % 0.83/1.03 (define @t308 () (tptp.c_HOL_Oord__class_Oless @t106 @t108 @t1)) % 0.83/1.03 (define @t309 () (not (= (tptp.hAPP (tptp.hAPP @t13 @t5) @t3) @t53))) % 0.83/1.03 (define @t310 () (= @t190 @t168)) % 0.83/1.03 (define @t311 () (tptp.c_HOL_Ominus__class_Ominus @t245 @t58 @t2)) % 0.83/1.03 (define @t312 () (tptp.hAPP @t6 @t8)) % 0.83/1.03 (define @t313 () (tptp.c_Set_Oimage @t83 @t241 @t65 @t1)) % 0.83/1.03 (define @t314 () (tptp.c_Set_Ovimage @t83 @t5 @t65 @t1)) % 0.83/1.03 (define @t315 () (tptp.c_Set_Oimage @t83 @t314 @t65 @t1)) % 0.83/1.03 (define @t316 () (tptp.hAPP (tptp.hAPP @t13 @t28) @t32)) % 0.83/1.03 (define @t317 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t301 @t1)) % 0.83/1.03 (define @t318 () (@list @t12 @t1)) % 0.83/1.03 (define @t319 () (tptp.c_HOL_Oord__class_Oless @t12 @t12 @t1)) % 0.83/1.03 (define @t320 () (not @t319)) % 0.83/1.03 (define @t321 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.83/1.03 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t105 @t107 @t1)) % 0.83/1.03 (define @t323 () (not @t322)) % 0.83/1.03 (define @t324 () (= @t119 @t60)) % 0.83/1.03 (define @t325 () (= @t107 @t105)) % 0.83/1.03 (define @t326 () (@list @t5 @t1 @t3)) % 0.83/1.03 (define @t327 () (@list @t65)) % 0.83/1.03 (define @t328 () (not @t171)) % 0.83/1.03 (define @t329 () (not @t173)) % 0.83/1.03 (define @t330 () (tptp.c_lessequals @t117 @t116 @t1)) % 0.83/1.03 (define @t331 () (not @t330)) % 0.83/1.03 (define @t332 () (@list @t1 @t107 @t105 @t117 @t116)) % 0.83/1.03 (define @t333 () (@var "V_xo" $$unsorted)) % 0.83/1.03 (define @t334 () (tptp.c_Option_Oset @t333 @t1)) % 0.83/1.03 (define @t335 () (tptp.hBOOL (tptp.c_in @t117 @t23 @t1))) % 0.83/1.03 (define @t336 () (@list @t117 @t5 @t3 @t1)) % 0.83/1.03 (define @t337 () (@list @t117 @t3 @t1 @t5)) % 0.83/1.03 (define @t338 () (tptp.hBOOL (tptp.c_in @t117 @t8 @t1))) % 0.83/1.03 (define @t339 () (not @t338)) % 0.83/1.03 (define @t340 () (@list @t117 @t5 @t1 @t3)) % 0.83/1.03 (define @t341 () (tptp.hBOOL (tptp.c_in @t117 @t76 @t1))) % 0.83/1.03 (define @t342 () (@list @t117 @t5 @t1)) % 0.83/1.03 (define @t343 () (not @t204)) % 0.83/1.03 (define @t344 () (not @t145)) % 0.83/1.03 (define @t345 () (not (tptp.hBOOL (tptp.c_in @t10 @t5 @t1)))) % 0.83/1.03 (define @t346 () (@list @t83 @t12 @t10 @t5 @t1 @t65)) % 0.83/1.03 (define @t347 () (not (tptp.hBOOL (tptp.c_in @t209 @t5 @t1)))) % 0.83/1.03 (define @t348 () (tptp.hBOOL (tptp.hAPP @t141 @t107))) % 0.83/1.03 (define @t349 () (tptp.hBOOL (tptp.c_in @t107 @t142 @t1))) % 0.83/1.03 (define @t350 () (not (tptp.hBOOL (tptp.c_in @t12 @t5 @t65)))) % 0.83/1.03 (define @t351 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5 @t3 @t65 @t2)) % 0.83/1.03 (define @t352 () (tptp.hBOOL (tptp.c_in @t107 @t5 @t1))) % 0.83/1.03 (define @t353 () (not @t352)) % 0.83/1.03 (define @t354 () (tptp.hAPP @t3 @t107)) % 0.83/1.03 (define @t355 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5 @t3 @t1 @t85)) % 0.83/1.03 (define @t356 () (tptp.hAPP @t83 @t107)) % 0.83/1.03 (define @t357 () (tptp.hBOOL (tptp.c_in @t356 @t3 @t65))) % 0.83/1.03 (define @t358 () (tptp.hBOOL (tptp.c_in @t107 @t146 @t1))) % 0.83/1.03 (define @t359 () (tptp.c_Set_Ovimage @t83 @t3 @t65 @t1)) % 0.83/1.03 (define @t360 () (@list @t83 @t107 @t3 @t65 @t1)) % 0.83/1.03 (define @t361 () (tptp.hAPP @t260 @t5)) % 0.83/1.03 (define @t362 () (tptp.hAPP @t259 @t5)) % 0.83/1.03 (define @t363 () (tptp.hBOOL (tptp.hAPP @t355 @t105))) % 0.83/1.03 (define @t364 () (tptp.c_lessequals @t12 @t10 @t1)) % 0.83/1.03 (define @t365 () (not @t364)) % 0.83/1.03 (define @t366 () (not (tptp.c_lessequals @t105 @t107 @t1))) % 0.83/1.03 (define @t367 () (tptp.c_lessequals @t205 @t206 @t1)) % 0.83/1.03 (define @t368 () (tptp.c_lessequals @t10 @t12 @t1)) % 0.83/1.03 (define @t369 () (not (= @t15 @t207))) % 0.83/1.03 (define @t370 () (@list @t1 @t12 @t10 @t206 @t205)) % 0.83/1.03 (define @t371 () (not @t368)) % 0.83/1.03 (define @t372 () (tptp.c_lessequals @t10 @t25 @t1)) % 0.83/1.03 (define @t373 () (not @t372)) % 0.83/1.03 (define @t374 () (not (tptp.c_lessequals @t25 @t10 @t1))) % 0.83/1.03 (define @t375 () (tptp.c_lessequals @t131 @t12 @t1)) % 0.83/1.03 (define @t376 () (not @t375)) % 0.83/1.03 (define @t377 () (tptp.c_lessequals @t107 @t12 @t1)) % 0.83/1.03 (define @t378 () (tptp.c_lessequals @t105 @t12 @t1)) % 0.83/1.03 (define @t379 () (tptp.c_lessequals @t12 @t107 @t1)) % 0.83/1.03 (define @t380 () (not @t379)) % 0.83/1.03 (define @t381 () (tptp.c_lessequals @t12 @t131 @t1)) % 0.83/1.03 (define @t382 () (tptp.c_lessequals @t12 @t105 @t1)) % 0.83/1.03 (define @t383 () (not @t382)) % 0.83/1.03 (define @t384 () (tptp.c_lessequals @t28 @t25 @t1)) % 0.83/1.03 (define @t385 () (not @t384)) % 0.83/1.03 (define @t386 () (tptp.c_lessequals @t12 @t25 @t1)) % 0.83/1.03 (define @t387 () (@var "V_X" $$unsorted)) % 0.83/1.03 (define @t388 () (tptp.hAPP @t83 @t387)) % 0.83/1.03 (define @t389 () (tptp.c_lessequals @t41 @t12 @t1)) % 0.83/1.03 (define @t390 () (tptp.c_lessequals @t41 @t10 @t1)) % 0.83/1.03 (define @t391 () (tptp.c_lessequals @t12 @t111 @t1)) % 0.83/1.03 (define @t392 () (not @t386)) % 0.83/1.03 (define @t393 () (tptp.c_lessequals @t12 @t301 @t1)) % 0.83/1.03 (define @t394 () (= @t28 @t10)) % 0.83/1.03 (define @t395 () (not @t394)) % 0.83/1.03 (define @t396 () (or @t30 @t395 @t364)) % 0.83/1.03 (define @t397 () (forall @t17 @t396)) % 0.83/1.03 (define @t398 () (tptp.c_lessequals @t106 @t108 @t1)) % 0.83/1.03 (define @t399 () (tptp.c_lessequals @t12 @t12 @t1)) % 0.83/1.03 (define @t400 () (@list @t1 @t10 @t12)) % 0.83/1.03 (define @t401 () (= @t41 @t12)) % 0.83/1.03 (define @t402 () (not @t377)) % 0.83/1.03 (define @t403 () (not @t378)) % 0.83/1.03 (define @t404 () (@list @t1 @t107 @t105 @t12)) % 0.83/1.03 (define @t405 () (tptp.c_lessequals @t12 @t28 @t1)) % 0.83/1.03 (define @t406 () (tptp.c_lessequals @t10 @t28 @t1)) % 0.83/1.03 (define @t407 () (tptp.c_lessequals @t25 @t12 @t1)) % 0.83/1.03 (define @t408 () (not @t391)) % 0.83/1.03 (define @t409 () (tptp.c_lessequals @t111 @t12 @t1)) % 0.83/1.03 (define @t410 () (not @t393)) % 0.83/1.03 (define @t411 () (tptp.c_lessequals @t107 @t106 @t1)) % 0.83/1.03 (define @t412 () (tptp.c_lessequals @t105 @t108 @t1)) % 0.83/1.03 (define @t413 () (tptp.c_lessequals @t108 @t105 @t1)) % 0.83/1.03 (define @t414 () (tptp.c_lessequals @t106 @t107 @t1)) % 0.83/1.03 (define @t415 () (tptp.hBOOL (tptp.c_in @t117 @t5 @t65))) % 0.83/1.03 (define @t416 () (tptp.c_COMBK @t117 @t65 @t1)) % 0.83/1.03 (define @t417 () (tptp.c_Set_Ovimage @t416 @t5 @t1 @t65)) % 0.83/1.03 (define @t418 () (@list @t117 @t65 @t1 @t5)) % 0.83/1.03 (define @t419 () (tptp.hBOOL (tptp.c_in @t356 @t89 @t65))) % 0.83/1.03 (define @t420 () (@list @t83 @t107 @t5 @t1 @t65)) % 0.83/1.03 (define @t421 () (@var "V_t" $$unsorted)) % 0.83/1.03 (define @t422 () (@var "V_s" $$unsorted)) % 0.83/1.03 (define @t423 () (tptp.hAPP @t149 @t422)) % 0.83/1.03 (define @t424 () (@var "V_u" $$unsorted)) % 0.83/1.03 (define @t425 () (not (tptp.c_Map_Omap__le @t83 @t167 @t1 @t65))) % 0.83/1.03 (define @t426 () (tptp.c_HOL_Oord__class_Oless @t111 @t12 @t1)) % 0.83/1.03 (define @t427 () (@var "V_fun1_H" $$unsorted)) % 0.83/1.03 (define @t428 () (@var "V_fun1" $$unsorted)) % 0.83/1.03 (define @t429 () (@var "V_fun2_H" $$unsorted)) % 0.83/1.03 (define @t430 () (@var "V_com_H" $$unsorted)) % 0.83/1.03 (define @t431 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t1)) % 0.83/1.03 (define @t432 () (@var "V_fun2" $$unsorted)) % 0.83/1.03 (define @t433 () (@var "V_com" $$unsorted)) % 0.83/1.03 (define @t434 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t431 @t428) @t433) @t432) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t431 @t427) @t430) @t429)))) % 0.83/1.03 (define @t435 () (@list @t1 @t428 @t433 @t432 @t427 @t430 @t429)) % 0.83/1.03 (define @t436 () (tptp.c_Finite__Set_Ofinite @t76 @t1)) % 0.83/1.03 (define @t437 () (= @t70 @t63)) % 0.83/1.03 (define @t438 () (not @t69)) % 0.83/1.03 (define @t439 () (@list @t67 @t66 @t65 @t1 @t64 @t12)) % 0.83/1.03 (define @t440 () (@list @t5 @t1 @t3 @t18)) % 0.83/1.03 (define @t441 () (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t2)) % 0.83/1.03 (define @t442 () (= (tptp.hAPP @t14 @t41) @t41)) % 0.83/1.03 (define @t443 () (not @t242)) % 0.83/1.03 (define @t444 () (tptp.hBOOL (tptp.hAPP @t84 @t12))) % 0.83/1.03 (define @t445 () (tptp.hBOOL (tptp.hAPP @t5 @t294))) % 0.83/1.03 (define @t446 () (tptp.c_fequal @t1)) % 0.83/1.03 (define @t447 () (tptp.hAPP @t446 @t12)) % 0.83/1.03 (define @t448 () (= (tptp.c_Finite__Set_Ocard @t89 @t65) @t98)) % 0.83/1.03 (define @t449 () (tptp.c_HOL_Oord__class_Oless @t206 @t205 @t1)) % 0.83/1.03 (define @t450 () (@var "V_r" $$unsorted)) % 0.83/1.03 (define @t451 () (tptp.hBOOL (tptp.c_Predicate_Oinv__imagep @t450 @t83 @t12 @t10 @t1 @t65))) % 0.83/1.03 (define @t452 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t450 @t294) @t293))) % 0.83/1.03 (define @t453 () (@list @t450 @t83 @t12 @t10 @t1 @t65)) % 0.83/1.03 (define @t454 () (tptp.c_Set_Oinsert @t12 @t3 @t1)) % 0.83/1.03 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t5 @t454 @t2)) % 0.83/1.03 (define @t456 () (not @t455)) % 0.83/1.03 (define @t457 () (tptp.hBOOL (tptp.c_in @t12 @t3 @t1))) % 0.83/1.03 (define @t458 () (tptp.c_Set_Oinsert @t12 @t60 @t1)) % 0.83/1.03 (define @t459 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t458 @t2)) % 0.83/1.03 (define @t460 () (tptp.c_HOL_Oord__class_Oless @t459 @t3 @t2)) % 0.83/1.03 (define @t461 () (not @t460)) % 0.83/1.03 (define @t462 () (@list @t5 @t12 @t3 @t1)) % 0.83/1.03 (define @t463 () (tptp.c_lessequals @t89 @t3 @t85)) % 0.83/1.03 (define @t464 () (tptp.c_Finite__Set_Ofinite @t3 @t65)) % 0.83/1.03 (define @t465 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.83/1.03 (define @t466 () (@var "V_Procs" $$unsorted)) % 0.83/1.03 (define @t467 () (tptp.tc_fun @t1 (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool))) % 0.83/1.03 (define @t468 () (tptp.tc_fun @t467 @t465)) % 0.83/1.03 (define @t469 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.83/1.03 (define @t470 () (tptp.c_COMBB @t469 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname)) % 0.83/1.03 (define @t471 () (tptp.c_COMBB @t431 @t141 @t467 (tptp.tc_fun tptp.tc_Com_Ocom @t468) tptp.tc_Com_Opname)) % 0.83/1.03 (define @t472 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t471 @t470 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t468) @t216 tptp.tc_Com_Opname @t467 @t465) @t466 tptp.tc_Com_Opname @t465)) % 0.83/1.03 (define @t473 () (tptp.tc_fun @t465 tptp.tc_bool)) % 0.83/1.03 (define @t474 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t471 tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom @t468) @t216 tptp.tc_Com_Opname @t467 @t465) @t466 tptp.tc_Com_Opname @t465)) % 0.83/1.03 (define @t475 () (@var "V_G" $$unsorted)) % 0.83/1.03 (define @t476 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t475 @t474 @t473)) % 0.83/1.03 (define @t477 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t476 @t472 @t1))) % 0.83/1.03 (define @t478 () (@list @t475 @t1 @t141 @t216 @t466)) % 0.83/1.03 (define @t479 () (@var "V_i" $$unsorted)) % 0.83/1.03 (define @t480 () (@list @t1 @t5 @t12)) % 0.83/1.03 (define @t481 () (@list @t1 @t12 @t5)) % 0.83/1.03 (define @t482 () (= @t155 @t60)) % 0.83/1.03 (define @t483 () (not @t457)) % 0.83/1.03 (define @t484 () (@list @t12 @t3 @t1 @t5)) % 0.83/1.03 (define @t485 () (tptp.c_Finite__Set_Ofold1 @t13 @t5 @t1)) % 0.83/1.03 (define @t486 () (= @t60 @t119)) % 0.83/1.03 (define @t487 () (tptp.c_Set_Oinsert @t12 @t5 @t1)) % 0.83/1.03 (define @t488 () (tptp.c_HOL_Ominus__class_Ominus @t487 @t3 @t2)) % 0.83/1.03 (define @t489 () (@list @t12 @t5 @t1 @t3)) % 0.83/1.03 (define @t490 () (tptp.hBOOL (tptp.c_in @t107 @t18 @t1))) % 0.83/1.03 (define @t491 () (tptp.c_Set_Oinsert @t107 @t3 @t1)) % 0.83/1.03 (define @t492 () (tptp.hAPP (tptp.hAPP @t6 @t491) @t18)) % 0.83/1.03 (define @t493 () (@list @t1 @t107 @t3 @t18)) % 0.83/1.03 (define @t494 () (tptp.hAPP @t7 @t491)) % 0.83/1.03 (define @t495 () (@list @t1 @t5 @t107 @t3)) % 0.83/1.03 (define @t496 () (tptp.c_Set_Oinsert @t107 @t37 @t1)) % 0.83/1.03 (define @t497 () (not (tptp.hBOOL (tptp.c_in @t107 @t387 @t1)))) % 0.83/1.03 (define @t498 () (@list @t5 @t12 @t1)) % 0.83/1.03 (define @t499 () (tptp.c_lessequals @t119 @t118 @t2)) % 0.83/1.03 (define @t500 () (not @t499)) % 0.83/1.03 (define @t501 () (not (tptp.c_lessequals @t238 @t5 @t2))) % 0.83/1.03 (define @t502 () (not (tptp.hBOOL (tptp.hAPP @t141 @t60)))) % 0.83/1.03 (define @t503 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 @t5 @t141 @t1)) % 0.83/1.03 (define @t504 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 @t5 @t141 @t1)) % 0.83/1.03 (define @t505 () (tptp.hBOOL (tptp.hAPP @t141 @t238))) % 0.83/1.03 (define @t506 () (@list @t141 @t238 @t5 @t1)) % 0.83/1.03 (define @t507 () (tptp.c_Fun_Oinj__on @t83 @t264 @t1 @t65)) % 0.83/1.03 (define @t508 () (not @t507)) % 0.83/1.03 (define @t509 () (tptp.c_Set_Oinsert @t107 @t60 @t1)) % 0.83/1.03 (define @t510 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t509 @t2)) % 0.83/1.03 (define @t511 () (tptp.hBOOL (tptp.c_in @t356 (tptp.c_Set_Oimage @t83 @t510 @t1 @t65) @t65))) % 0.83/1.03 (define @t512 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t491 @t2)) % 0.83/1.03 (define @t513 () (tptp.c_Finite__Set_Ofinite @t512 @t1)) % 0.83/1.03 (define @t514 () (tptp.c_Finite__Set_Ofinite @t8 @t1)) % 0.83/1.03 (define @t515 () (not @t514)) % 0.83/1.03 (define @t516 () (@list @t5 @t107 @t3 @t1)) % 0.83/1.03 (define @t517 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1) @t52))) % 0.83/1.03 (define @t518 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 0.83/1.03 (define @t519 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t238 @t475 @t2) @t1)) % 0.83/1.03 (define @t520 () (not @t519)) % 0.83/1.03 (define @t521 () (tptp.c_Finite__Set_Ofinite @t475 @t1)) % 0.83/1.03 (define @t522 () (not @t521)) % 0.83/1.03 (define @t523 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t6 @t238) @t475) @t1)) % 0.83/1.03 (define @t524 () (@list @t1 @t238 @t475)) % 0.83/1.03 (define @t525 () (not (= @t23 @t60))) % 0.83/1.03 (define @t526 () (tptp.c_Set_Oinsert @t107 @t3 @t65)) % 0.83/1.03 (define @t527 () (tptp.c_Set_Oinsert @t105 @t60 @t1)) % 0.83/1.03 (define @t528 () (tptp.c_Set_Oinsert @t107 @t527 @t1)) % 0.83/1.03 (define @t529 () (tptp.c_lessequals @t5 @t4 @t2)) % 0.83/1.03 (define @t530 () (tptp.hAPP @t256 @t107)) % 0.83/1.03 (define @t531 () (tptp.hAPP @t255 @t107)) % 0.83/1.03 (define @t532 () (tptp.tc_fun @t1 @t65)) % 0.83/1.03 (define @t533 () (tptp.c_HOL_Oord__class_Oless @t83 @t167 @t532)) % 0.83/1.03 (define @t534 () (not @t533)) % 0.83/1.03 (define @t535 () (tptp.c_lessequals @t83 @t167 @t532)) % 0.83/1.03 (define @t536 () (not (tptp.class_HOL_Oord @t65))) % 0.83/1.03 (define @t537 () (@list @t65 @t83 @t167 @t1)) % 0.83/1.03 (define @t538 () (not @t535)) % 0.83/1.03 (define @t539 () (tptp.c_lessequals @t167 @t83 @t532)) % 0.83/1.03 (define @t540 () (tptp.c_lessequals @t3 @t18 @t2)) % 0.83/1.03 (define @t541 () (not @t540)) % 0.83/1.03 (define @t542 () (tptp.c_lessequals @t5 @t18 @t2)) % 0.83/1.03 (define @t543 () (not @t542)) % 0.83/1.03 (define @t544 () (@var "V_D" $$unsorted)) % 0.83/1.03 (define @t545 () (not (tptp.c_lessequals @t3 @t544 @t2))) % 0.83/1.03 (define @t546 () (tptp.c_lessequals @t23 @t18 @t2)) % 0.83/1.03 (define @t547 () (not @t546)) % 0.83/1.03 (define @t548 () (tptp.c_lessequals @t18 @t3 @t2)) % 0.83/1.03 (define @t549 () (tptp.c_lessequals @t18 @t37 @t2)) % 0.83/1.03 (define @t550 () (@list @t5 @t3 @t1 @t18 @t544)) % 0.83/1.03 (define @t551 () (= @t23 @t3)) % 0.83/1.03 (define @t552 () (tptp.c_lessequals @t3 @t5 @t2)) % 0.83/1.03 (define @t553 () (not @t552)) % 0.83/1.03 (define @t554 () (tptp.c_lessequals @t76 @t4 @t2)) % 0.83/1.03 (define @t555 () (@list @t83 @t5 @t65 @t1 @t3)) % 0.83/1.03 (define @t556 () (not @t549)) % 0.83/1.03 (define @t557 () (not (tptp.c_Fun_Oinj__on @t83 @t18 @t1 @t65))) % 0.83/1.03 (define @t558 () (tptp.c_lessequals @t89 @t88 @t85)) % 0.83/1.03 (define @t559 () (tptp.c_Set_Oimage @t83 @t3 @t65 @t1)) % 0.83/1.03 (define @t560 () (tptp.c_Set_Oimage @t83 @t5 @t65 @t1)) % 0.83/1.03 (define @t561 () (tptp.c_Map_Odom @t83 @t65 @t1)) % 0.83/1.03 (define @t562 () (@var "V_a_H" $$unsorted)) % 0.83/1.03 (define @t563 () (tptp.c_Option_Ooption_OSome @t562 @t1)) % 0.83/1.03 (define @t564 () (tptp.c_Option_Ooption_OSome @t10 @t1)) % 0.83/1.03 (define @t565 () (@var "V_xx" $$unsorted)) % 0.83/1.03 (define @t566 () (tptp.c_Option_Ooption_OSome @t565 @t1)) % 0.83/1.03 (define @t567 () (@var "V_ts" $$unsorted)) % 0.83/1.03 (define @t568 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t567 @t1)) % 0.83/1.03 (define @t569 () (not @t568)) % 0.83/1.03 (define @t570 () (@list @t475 @t567 @t1)) % 0.83/1.03 (define @t571 () (@list @t107 @t5 @t1)) % 0.83/1.03 (define @t572 () (tptp.c_Set_Oinsert @t107 @t510 @t1)) % 0.83/1.03 (define @t573 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t458 @t1)) % 0.83/1.03 (define @t574 () (tptp.c_COMBK @t117 @t1 @t65)) % 0.83/1.03 (define @t575 () (not (tptp.c_lessequals @t3 @t560 @t2))) % 0.83/1.03 (define @t576 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t5 @t3 @t83 @t65 @t1)) % 0.83/1.03 (define @t577 () (@list @t3 @t83 @t5 @t65 @t1)) % 0.83/1.03 (define @t578 () (@list @t5 @t3 @t83 @t65 @t1)) % 0.83/1.03 (define @t579 () (tptp.hAPP @t67 @t107)) % 0.83/1.03 (define @t580 () (not (= @t579 (tptp.c_Option_Ooption_OSome @t105 @t1)))) % 0.83/1.03 (define @t581 () (@list @t67 @t107 @t105 @t1 @t65)) % 0.83/1.03 (define @t582 () (tptp.c_Option_Oset @t63 @t1)) % 0.83/1.03 (define @t583 () (@var "V_l2" $$unsorted)) % 0.83/1.03 (define @t584 () (tptp.hBOOL (tptp.c_in @t67 (tptp.c_Map_Odom @t583 @t1 @t65) @t1))) % 0.83/1.03 (define @t585 () (@var "V_l1" $$unsorted)) % 0.83/1.03 (define @t586 () (tptp.hAPP (tptp.c_Map_Omap__add @t585 @t583 @t1 @t65) @t67)) % 0.83/1.03 (define @t587 () (= @t586 (tptp.hAPP @t583 @t67))) % 0.83/1.03 (define @t588 () (@list @t585 @t583 @t1 @t65 @t67)) % 0.83/1.03 (define @t589 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 0.83/1.03 (define @t590 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 0.83/1.03 (define @t591 () (tptp.hBOOL (tptp.c_in @t107 @t276 @t1))) % 0.83/1.03 (define @t592 () (not @t591)) % 0.83/1.03 (define @t593 () (= @t579 (tptp.c_Option_Ooption_ONone @t65))) % 0.83/1.03 (define @t594 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.83/1.03 (define @t595 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.83/1.03 (define @t596 () (tptp.tc_fun @t595 tptp.tc_bool)) % 0.83/1.03 (define @t597 () (tptp.c_Orderings_Obot__class_Obot @t596)) % 0.83/1.03 (define @t598 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t475)) % 0.83/1.03 (define @t599 () (not (tptp.c_Com_OWT @t117))) % 0.83/1.03 (define @t600 () (tptp.c_Set_Oinsert @t151 @t597 @t595)) % 0.83/1.03 (define @t601 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t600 tptp.tc_Com_Ostate)) % 0.83/1.03 (define @t602 () (@list @t475 @t117)) % 0.83/1.03 (define @t603 () (@var "V_l" $$unsorted)) % 0.83/1.03 (define @t604 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t141)) % 0.83/1.03 (define @t605 () (tptp.hAPP tptp.c_Com_Obody @t141)) % 0.83/1.03 (define @t606 () (@var "V_pn" $$unsorted)) % 0.83/1.03 (define @t607 () (tptp.c_Orderings_Obot__class_Obot @t473)) % 0.83/1.03 (define @t608 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t606)) % 0.83/1.03 (define @t609 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t597 @t600 tptp.tc_Com_Ostate)) % 0.83/1.03 (define @t610 () (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t150 @t141) @t117) @t216) @t597 @t595)) % 0.83/1.03 (define @t611 () (tptp.c_Finite__Set_Olinorder__class_OMin @t5 @t1)) % 0.83/1.03 (define @t612 () (tptp.c_Finite__Set_Olinorder__class_OMax @t5 @t1)) % 0.83/1.03 (define @t613 () (@list @t12 @t5 @t1)) % 0.83/1.03 (define @t614 () (@var "T_aa" $$unsorted)) % 0.83/1.03 (define @t615 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t5 @t3 @t83 @t1 @t65)) % 0.83/1.03 (define @t616 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t5 @t3 @t83 @t65 @t1)) % 0.83/1.03 (define @t617 () (tptp.c_lessequals @t560 @t3 @t2)) % 0.83/1.03 (define @t618 () (tptp.c_Set_Oimage @t167 @t387 @t1 @t65)) % 0.83/1.03 (define @t619 () (tptp.c_lessequals @t459 @t3 @t2)) % 0.83/1.03 (define @t620 () (not @t619)) % 0.83/1.03 (define @t621 () (tptp.c_lessequals @t5 @t454 @t2)) % 0.83/1.03 (define @t622 () (= @t5 @t210)) % 0.83/1.03 (define @t623 () (tptp.c_Set_Oimage @t83 @t5 @t1 @t1)) % 0.83/1.03 (define @t624 () (tptp.c_Fun_Oinj__on @t83 @t5 @t1 @t1)) % 0.83/1.03 (define @t625 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t5 @t3 @t83 @t65 @t1)) % 0.83/1.03 (define @t626 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.83/1.03 (define @t627 () (not tptp.c_Com_OWT__bodies)) % 0.83/1.03 (define @t628 () (@var "V_s1" $$unsorted)) % 0.83/1.03 (define @t629 () (@var "V_s0" $$unsorted)) % 0.83/1.03 (define @t630 () (tptp.hAPP tptp.c_Com_Obody @t606)) % 0.83/1.03 (define @t631 () (tptp.hAPP @t469 @t630)) % 0.83/1.03 (define @t632 () (@var "V_N" $$unsorted)) % 0.83/1.03 (define @t633 () (not (tptp.c_lessequals @t94 @t632 @t2))) % 0.83/1.03 (define @t634 () (= @t94 @t60)) % 0.83/1.03 (define @t635 () (not (tptp.c_Finite__Set_Ofinite @t632 @t1))) % 0.83/1.03 (define @t636 () (not @t621)) % 0.83/1.03 (define @t637 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT @t470 tptp.tc_Com_Ocom @t595 tptp.tc_Com_Opname)) % 0.83/1.03 (define @t638 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t595 tptp.tc_Com_Opname)) % 0.83/1.03 (define @t639 () (tptp.c_Set_Oimage @t638 @t466 tptp.tc_Com_Opname @t595)) % 0.83/1.03 (define @t640 () (tptp.hAPP @t431 @t141)) % 0.83/1.03 (define @t641 () (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t640 @t631) @t216) @t607 @t465)) % 0.83/1.03 (define @t642 () (tptp.hAPP (tptp.hAPP @t640 @t608) @t216)) % 0.83/1.03 (define @t643 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert @t642 @t607 @t465) @t1)) % 0.83/1.03 (define @t644 () (@list @t475 @t1 @t141 @t606 @t216)) % 0.83/1.03 (define @t645 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert @t421 @t607 @t465) @t1)) % 0.83/1.03 (define @t646 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert @t421 @t567 @t465) @t1)) % 0.83/1.03 (define @t647 () (@list @t12 @t5 @t65 @t83 @t1)) % 0.83/1.03 (define @t648 () (not @t646)) % 0.83/1.03 (define @t649 () (tptp.hBOOL (tptp.c_in @t107 (tptp.c_Set_Oinsert @t105 @t5 @t1) @t1))) % 0.83/1.03 (define @t650 () (tptp.c_Set_Oinsert @t105 @t3 @t1)) % 0.83/1.03 (define @t651 () (@var "V_ts_H" $$unsorted)) % 0.83/1.03 (define @t652 () (not (tptp.c_lessequals @t141 @t216 @t2))) % 0.83/1.03 (define @t653 () (tptp.hBOOL (tptp.hAPP @t216 @t12))) % 0.83/1.03 (define @t654 () (@list @t216 @t12 @t141 @t1)) % 0.83/1.03 (define @t655 () (@var "V_G_H" $$unsorted)) % 0.83/1.03 (define @t656 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t655 @t567 @t1))) % 0.83/1.03 (define @t657 () (@list @t475 @t567 @t1 @t655)) % 0.83/1.03 (define @t658 () (forall (@list @t83 @t167 @t5 @t219 @t65 @t1) (= (tptp.c_Set_Oimage @t83 (tptp.c_Set_Oimage @t167 @t5 @t219 @t65) @t65 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t83 @t167 @t65 @t1 @t219) @t5 @t219 @t1)))) % 0.83/1.03 (define @t659 () (tptp.c_lessequals @t487 @t3 @t2)) % 0.83/1.03 (define @t660 () (not (tptp.hBOOL (tptp.c_in @t12 @t60 @t1)))) % 0.83/1.03 (define @t661 () (@list @t141 @t12 @t1)) % 0.83/1.03 (define @t662 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.83/1.03 (define @t663 () (= @t105 @t116)) % 0.83/1.03 (define @t664 () (= @t105 @t117)) % 0.83/1.03 (define @t665 () (not (= @t528 (tptp.c_Set_Oinsert @t117 (tptp.c_Set_Oinsert @t116 @t60 @t1) @t1)))) % 0.83/1.03 (define @t666 () (@list @t107 @t105 @t1 @t117 @t116)) % 0.83/1.03 (define @t667 () (= @t107 @t116)) % 0.83/1.03 (define @t668 () (= @t107 @t117)) % 0.83/1.03 (define @t669 () (tptp.c_Finite__Set_Ofinite @t264 @t1)) % 0.83/1.03 (define @t670 () (tptp.c_Set_Oinsert @t10 @t5 @t1)) % 0.83/1.03 (define @t671 () (tptp.hBOOL (tptp.hAPP @t670 @t12))) % 0.83/1.03 (define @t672 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t608)) % 0.83/1.03 (define @t673 () (not @t659)) % 0.83/1.03 (define @t674 () (@var "V_S" $$unsorted)) % 0.83/1.03 (define @t675 () (tptp.hBOOL (tptp.hAPP @t674 @t12))) % 0.83/1.03 (define @t676 () (tptp.hBOOL (tptp.c_in @t12 @t674 @t1))) % 0.83/1.03 (define @t677 () (tptp.c_Set_Oimage @t83 @t210 @t65 @t1)) % 0.83/1.03 (define @t678 () (@list @t83 @t12 @t5 @t1 @t65)) % 0.83/1.03 (define @t679 () (@var "V_pname_H" $$unsorted)) % 0.83/1.03 (define @t680 () (@var "V_pname" $$unsorted)) % 0.83/1.03 (define @t681 () (or (= @t264 @t5) @t353)) % 0.83/1.03 (define @t682 () (forall @t571 @t681)) % 0.83/1.03 (define @t683 () (tptp.hBOOL (tptp.c_in @t294 @t560 @t1))) % 0.83/1.03 (define @t684 () (tptp.c_Set_Oimage @t638 @t626 tptp.tc_Com_Opname @t595)) % 0.83/1.03 (define @t685 () (tptp.hBOOL (tptp.c_in tptp.v_x @t626 tptp.tc_Com_Opname))) % 0.83/1.03 (define @t686 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_x)) % 0.83/1.03 (define @t687 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t686)) % 0.83/1.03 (define @t688 () (tptp.c_Set_Oinsert @t687 @t597 @t595)) % 0.83/1.03 (define @t689 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t684 @t688 tptp.tc_Com_Ostate)) % 0.83/1.03 (define @t690 () (@var "T_1" $$unsorted)) % 0.83/1.03 (define @t691 () (@var "T_2" $$unsorted)) % 0.83/1.03 (define @t692 () (tptp.tc_fun @t691 @t690)) % 0.83/1.03 (define @t693 () (@list @t691 @t690)) % 0.83/1.03 (define @t694 () (not (tptp.class_Lattices_Olattice @t690))) % 0.83/1.03 (define @t695 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t690))) % 0.83/1.03 (define @t696 () (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.83/1.03 (define @t697 () (@var "V_Y" $$unsorted)) % 0.83/1.03 (define @t698 () (tptp.c_Set_Oimage tptp.c_Com_Ocom_OBODY @t626 tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.83/1.03 (define @t699 () (tptp.c_Set_Oimage tptp.c_Hoare__Mirabelle_OMGT @t698 tptp.tc_Com_Ocom @t595)) % 0.83/1.03 (define @t700 () (= @t699 @t684)) % 0.83/1.03 (define @t701 () (@list tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY @t626 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t595)) % 0.83/1.03 (define @t702 () (= @t684 @t699)) % 0.83/1.03 (define @t703 () (@list false)) % 0.83/1.03 (define @t704 () (@list @t658)) % 0.83/1.03 (define @t705 () (not @t685)) % 0.83/1.03 (define @t706 () (tptp.c_Set_Oinsert tptp.v_x @t626 tptp.tc_Com_Opname)) % 0.83/1.03 (define @t707 () (= @t626 @t706)) % 0.83/1.03 (define @t708 () (or @t707 @t705)) % 0.83/1.03 (define @t709 () (@list false false)) % 0.83/1.03 (define @t710 () (@list tptp.c_Hoare__Mirabelle_OMGT @t686 @t698 tptp.tc_Com_Ocom @t595)) % 0.83/1.03 (define @t711 () (tptp.c_lessequals @t688 @t684 @t596)) % 0.83/1.03 (define @t712 () (not @t711)) % 0.83/1.03 (define @t713 () (or @t689 @t712)) % 0.83/1.03 (define @t714 () (not @t696)) % 0.83/1.03 (define @t715 () (tptp.class_Lattices_Oupper__semilattice @t596)) % 0.83/1.03 (define @t716 () (or @t715 @t714)) % 0.83/1.03 (define @t717 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t688 @t684 @t596)) % 0.83/1.03 (define @t718 () (= @t684 @t717)) % 0.83/1.03 (define @t719 () (not @t718)) % 0.83/1.03 (define @t720 () (not @t715)) % 0.83/1.03 (define @t721 () (or @t720 @t719 @t711)) % 0.83/1.03 (define @t722 () (tptp.c_Set_Oinsert @t687 @t699 @t595)) % 0.83/1.03 (define @t723 () (tptp.c_Set_Oinsert @t686 @t698 tptp.tc_Com_Ocom)) % 0.83/1.03 (define @t724 () (= (tptp.c_Set_Oimage tptp.c_Hoare__Mirabelle_OMGT @t723 tptp.tc_Com_Ocom @t595) @t722)) % 0.83/1.03 (define @t725 () (not @t724)) % 0.83/1.03 (define @t726 () (= (tptp.c_Set_Oimage tptp.c_Com_Ocom_OBODY @t706 tptp.tc_Com_Opname tptp.tc_Com_Ocom) @t723)) % 0.83/1.03 (define @t727 () (not @t726)) % 0.83/1.03 (define @t728 () (tptp.c_Set_Oinsert @t687 @t684 @t595)) % 0.83/1.03 (define @t729 () (= @t728 @t717)) % 0.83/1.03 (define @t730 () (not @t729)) % 0.83/1.03 (define @t731 () (not @t707)) % 0.83/1.03 (define @t732 () (not @t702)) % 0.83/1.03 (define @t733 () (= @t684 @t728)) % 0.83/1.03 (define @t734 () (and @t702 @t733 @t729 @t719)) % 0.83/1.03 (assume @p1 (forall @t9 (= @t8 (tptp.hAPP @t7 @t4)))) % 0.83/1.03 (assume @p2 (forall @t17 (or @t16 (= @t15 (tptp.hAPP @t14 @t11))))) % 0.83/1.03 (assume @p3 (forall @t22 (= @t21 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t19 @t2)))) % 0.83/1.03 (assume @p4 (forall @t24 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t18 @t2) @t21))) % 0.83/1.03 (assume @p5 (forall @t31 (or @t30 @t29))) % 0.83/1.03 (assume @p6 (forall @t31 (or @t30 @t33))) % 0.83/1.03 (assume @p7 (forall @t31 (or @t34 @t33))) % 0.83/1.03 (assume @p8 (forall @t31 (or @t34 @t29))) % 0.83/1.03 (assume @p9 (forall @t38 (= @t37 @t36))) % 0.83/1.03 (assume @p10 (forall @t17 (or @t43 @t42))) % 0.83/1.03 (assume @p11 (forall @t17 (or @t34 @t42))) % 0.83/1.03 (assume @p12 (forall @t9 (or (= @t47 @t3) @t45))) % 0.83/1.03 (assume @p13 (forall @t31 (or @t34 (tptp.c_lessequals @t50 @t48 @t1)))) % 0.83/1.03 (assume @p14 (forall @t17 (or @t16 (not (= @t28 @t53)) (not (= @t41 @t52)) (= @t51 @t10)))) % 0.83/1.03 (assume @p15 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t58 @t2) @t57 @t2) (tptp.hAPP (tptp.hAPP @t6 (tptp.hAPP @t55 @t20)) @t54)))) % 0.83/1.03 (assume @p16 (forall @t62 (= (tptp.c_Option_Oset @t61 @t1) @t60))) % 0.83/1.03 (assume @p17 (forall (@list @t67 @t64 @t12 @t1 @t66 @t65) (or (not @t74) @t72 @t69))) % 0.83/1.03 (assume @p18 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t5 @t2) @t75))) % 0.83/1.03 (assume @p19 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t76 @t2) @t75))) % 0.83/1.03 (assume @p20 (forall @t78 (or @t16 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t12 @t1) @t53)))) % 0.83/1.03 (assume @p21 (forall @t78 (or @t16 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t51 @t1) @t53)))) % 0.83/1.03 (assume @p22 (forall @t82 (or @t81 @t79))) % 0.83/1.03 (assume @p23 (forall @t82 (or @t81 @t71))) % 0.83/1.03 (assume @p24 (forall @t86 (= (tptp.c_Set_Ovimage @t83 (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t85) @t1 @t65) (tptp.c_HOL_Ouminus__class_Ouminus @t84 @t2)))) % 0.83/1.03 (assume @p25 (forall @t92 (or @t91 @t87))) % 0.83/1.03 (assume @p26 (forall (@list @t65 @t5 @t94 @t1) (or @t95 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5 (tptp.c_COMBK @t94 @t65 @t1) @t1 @t65) @t94) @t93))) % 0.83/1.03 (assume @p27 (forall @t77 (or (not (= @t98 (tptp.c_Finite__Set_Ocard @t75 @t1))) @t97 (= @t5 @t75)))) % 0.83/1.03 (assume @p28 (forall @t100 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t5 @t2) @t99))) % 0.83/1.03 (assume @p29 (forall @t9 (= @t47 @t23))) % 0.83/1.03 (assume @p30 (forall (@list @t65 @t5 @t3) (or (not (tptp.class_HOL_Ominus @t65)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t102) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t101 (tptp.hAPP @t3 tptp.v_x) @t65))))) % 0.83/1.03 (assume @p31 (forall @t24 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t18 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t104 @t103 @t2)))) % 0.83/1.03 (assume @p32 (forall @t113 (or @t112 (= @t111 (tptp.c_HOL_Ouminus__class_Ouminus @t109 @t1))))) % 0.83/1.03 (assume @p33 (forall @t9 (= @t23 @t99))) % 0.83/1.03 (assume @p34 (forall @t17 (or @t30 @t115))) % 0.83/1.03 (assume @p35 (forall @t17 (or @t34 @t115))) % 0.83/1.03 (assume @p36 (forall @t38 (= (tptp.c_HOL_Ouminus__class_Ouminus @t37 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t4 @t2)))) % 0.83/1.03 (assume @p37 (forall @t17 (or @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t41 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t11 @t1))))) % 0.83/1.03 (assume @p38 (forall @t113 (or @t112 (= (tptp.c_HOL_Ouminus__class_Ouminus @t111 @t1) @t109)))) % 0.83/1.03 (assume @p39 (forall (@list @t1 @t105 @t116 @t117 @t107) (or @t126 @t125 @t124 @t123 @t121))) % 0.83/1.03 (assume @p40 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t23 @t2) @t23))) % 0.83/1.03 (assume @p41 (forall @t17 (or @t30 @t127))) % 0.83/1.03 (assume @p42 (forall @t17 (or @t34 @t127))) % 0.83/1.03 (assume @p43 (forall @t9 (= (tptp.c_HOL_Ouminus__class_Ouminus @t23 @t2) (tptp.hAPP @t128 @t4)))) % 0.83/1.03 (assume @p44 (forall @t17 (or @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t28 @t1) (tptp.hAPP @t129 @t11))))) % 0.83/1.03 (assume @p45 (forall @t113 (or @t112 (= (tptp.c_HOL_Ouminus__class_Ouminus @t131 @t1) @t130)))) % 0.83/1.03 (assume @p46 (forall @t38 (= (tptp.hAPP @t7 @t46) @t60))) % 0.83/1.03 (assume @p47 (forall (@list @t1 @t5 @t3 @t132) (or @t140 @t138 @t137 @t93 @t136 @t134 (= (tptp.c_Finite__Set_Ofold1 @t132 @t23 @t1) (tptp.hAPP (tptp.hAPP @t132 @t133) (tptp.c_Finite__Set_Ofold1 @t132 @t3 @t1)))))) % 0.83/1.03 (assume @p48 (forall (@list @t12 @t5 @t1 @t141) (or @t145 @t144))) % 0.83/1.03 (assume @p49 (forall @t148 (= (tptp.c_Set_Ovimage @t83 @t147 @t1 @t65) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t84 @t146 @t2)))) % 0.83/1.03 (assume @p50 (forall (@list @t67 @t64 @t1 @t66 @t65) (or (not @t79) @t72 @t80))) % 0.83/1.03 (assume @p51 (forall @t152 (= @t151 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t150 (tptp.c_fequal tptp.tc_Com_Ostate)) @t117) @t149)))) % 0.83/1.03 (assume @p52 (forall @t9 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t4 @t2) @t37))) % 0.83/1.03 (assume @p53 (forall (@list @t3 @t12 @t1 @t5) (or @t156 @t154))) % 0.83/1.03 (assume @p54 (forall @t159 (or @t158 @t154))) % 0.83/1.03 (assume @p55 (forall @t163 (or @t162 @t161))) % 0.83/1.03 (assume @p56 (forall @t165 (or @t164 @t161))) % 0.83/1.03 (assume @p57 (forall @t163 (or (tptp.c_lessequals @t146 @t5 @t2) @t166 @t87))) % 0.83/1.03 (assume @p58 (forall @t169 (tptp.c_Map_Omap__le @t83 @t168 @t1 @t65))) % 0.83/1.03 (assume @p59 (forall @t62 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t75 @t1) @t53)))) % 0.83/1.03 (assume @p60 (forall @t172 (or @t126 @t171 @t123 @t121))) % 0.83/1.03 (assume @p61 (forall @t174 (or @t126 @t173 @t123 @t121))) % 0.83/1.03 (assume @p62 (forall @t24 (or @t176 (not @t175)))) % 0.83/1.03 (assume @p63 (forall @t22 (or @t175 (not @t176)))) % 0.83/1.03 (assume @p64 (forall @t77 (= (tptp.c_HOL_Ouminus__class_Ouminus @t76 @t2) @t5))) % 0.83/1.03 (assume @p65 (forall @t179 (or @t178 (= @t177 @t107)))) % 0.83/1.03 (assume @p66 (forall @t78 (or @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t1) @t12)))) % 0.83/1.03 (assume @p67 (forall @t181 (or @t178 (= @t105 @t180)))) % 0.83/1.03 (assume @p68 (forall @t179 (or @t178 (= @t107 @t177)))) % 0.83/1.03 (assume @p69 (forall @t181 (or @t178 (= @t180 @t105)))) % 0.83/1.03 (assume @p70 (forall @t183 (or @t30 @t182 (not (tptp.c_HOL_Oord__class_Oless @t12 @t107 @t1))))) % 0.83/1.03 (assume @p71 (forall @t183 (or @t30 @t182 (not (tptp.c_HOL_Oord__class_Oless @t12 @t105 @t1))))) % 0.83/1.03 (assume @p72 (forall @t113 (or @t184 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t107 @t105 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t105 @t107 @t1))))) % 0.83/1.03 (assume @p73 (forall @t187 (= (tptp.c_Set_Ovimage @t83 @t186 @t1 @t65) (tptp.hAPP (tptp.hAPP @t6 @t84) @t146)))) % 0.83/1.03 (assume @p74 (forall (@list @t83 @t167 @t1 @t65 @t188) (or @t193 @t192 (not @t189) (not (tptp.c_Map_Omap__le @t83 @t188 @t1 @t65))))) % 0.83/1.03 (assume @p75 (forall @t197 (or @t196 @t195 (not @t194)))) % 0.83/1.03 (assume @p76 (forall @t113 (or @t196 @t194 (not @t195)))) % 0.83/1.03 (assume @p77 (forall @t197 (or @t196 @t199 (not @t198)))) % 0.83/1.03 (assume @p78 (forall @t113 (or @t196 @t198 (not @t199)))) % 0.83/1.03 (assume @p79 (forall (@list @t117 @t1 @t5 @t3) (or @t204 @t203 @t201))) % 0.83/1.03 (assume @p80 (forall (@list @t1 @t12 @t206 @t205) (or @t184 (not (= @t208 @t207)) (= @t206 @t205)))) % 0.83/1.03 (assume @p81 (forall (@list @t1 @t209 @t10 @t12) (or @t184 (not (= (tptp.c_HOL_Ominus__class_Ominus @t209 @t10 @t1) @t208)) (= @t209 @t10)))) % 0.83/1.03 (assume @p82 (forall @t9 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t3 @t2) @t8))) % 0.83/1.03 (assume @p83 (forall @t212 (or @t211 @t161))) % 0.83/1.03 (assume @p84 (forall @t212 (or (not @t211) @t214 @t213 @t160))) % 0.83/1.03 (assume @p85 (forall (@list @t141 @t216 @t65 @t219 @t1 @t215) (= (tptp.hAPP (tptp.c_COMBS @t141 @t216 @t65 @t219 @t1) @t215) (tptp.hAPP @t218 @t217)))) % 0.83/1.03 (assume @p86 (forall (@list @t141 @t1 @t65 @t216) (= (tptp.hAPP (tptp.c_COMBK @t141 @t1 @t65) @t216) @t141))) % 0.83/1.03 (assume @p87 (forall @t221 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t220 @t2) @t5))) % 0.83/1.03 (assume @p88 (forall @t226 (or @t126 @t225 @t224 @t223))) % 0.83/1.03 (assume @p89 (forall @t231 (or @t230 @t229 @t228))) % 0.83/1.03 (assume @p90 (forall @t237 (or @t236 @t235 @t234 @t233))) % 0.83/1.03 (assume @p91 (forall @t78 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t12 @t1) @t12)))) % 0.83/1.03 (assume @p92 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t5 @t2) @t5))) % 0.83/1.03 (assume @p93 (forall (@list @t188 @t238 @t65 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t188 @t238 @t65 @t1) @t65) (not (tptp.c_Fun_Oinj__on @t188 @t241 @t65 @t1)) @t240))) % 0.83/1.03 (assume @p94 (forall (@list @t141 @t12 @t1 @t5) (or @t242 @t144))) % 0.83/1.03 (assume @p95 (forall @t244 (or @t243 (= (tptp.hAPP (tptp.hAPP @t13 @t26) @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 (tptp.hAPP (tptp.hAPP @t13 @t25) @t12) @t1))))) % 0.83/1.03 (assume @p96 (forall @t31 (or @t243 (= @t48 @t50)))) % 0.83/1.03 (assume @p97 (forall @t59 (= @t246 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t245 @t2)))) % 0.83/1.03 (assume @p98 (forall @t247 (= (tptp.hAPP (tptp.hAPP @t6 @t20) @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t57 @t2)))) % 0.83/1.03 (assume @p99 (forall @t251 (or @t250 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t83 @t167 @t102) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t249 @t248 @t65))))) % 0.83/1.03 (assume @p100 (forall @t38 (or @t140 (= @t8 @t5)))) % 0.83/1.03 (assume @p101 (forall @t252 (= (tptp.c_Finite__Set_Ofold1 @t83 @t5 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t83 @t5 @t1) @t1)))) % 0.83/1.03 (assume @p102 (forall (@list @t259 @t1 @t253 @t260 @t258 @t257 @t256 @t255 @t254) (or (= (tptp.hAPP @t259 @t75) @t253) @t261))) % 0.83/1.03 (assume @p103 (forall (@list @t260 @t1 @t254 @t259 @t258 @t257 @t256 @t255 @t253) (or (= (tptp.hAPP @t260 @t75) @t254) @t261))) % 0.83/1.03 (assume @p104 (forall @t78 (or @t16 (= (tptp.hAPP @t14 @t51) @t52)))) % 0.83/1.03 (assume @p105 (forall @t78 (or @t16 (= (tptp.hAPP @t129 @t12) @t52)))) % 0.83/1.03 (assume @p106 (forall @t262 (= (tptp.hAPP @t7 @t76) @t60))) % 0.83/1.03 (assume @p107 (forall @t262 (= (tptp.hAPP @t128 @t5) @t60))) % 0.83/1.03 (assume @p108 (forall @t92 (or (tptp.c_Fun_Oinj__on @t83 @t8 @t1 @t65) @t213))) % 0.83/1.03 (assume @p109 (forall @t265 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t264 @t1) (tptp.hAPP @t110 @t263))))) % 0.83/1.03 (assume @p110 (forall @t148 (= (tptp.c_Set_Ovimage @t83 @t266 @t1 @t65) (tptp.c_HOL_Ominus__class_Ominus @t84 @t146 @t2)))) % 0.83/1.03 (assume @p111 (forall @t267 (or (= (tptp.c_Set_Ovimage @t83 @t89 @t1 @t65) @t5) @t87))) % 0.83/1.03 (assume @p112 (forall (@list @t141 @t1) (= @t142 @t141))) % 0.83/1.03 (assume @p113 (forall @t268 (= (tptp.c_Set_Ovimage @t83 @t241 @t1 @t65) @t75))) % 0.83/1.03 (assume @p114 (forall @t265 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t264 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t269 @t1))))) % 0.83/1.03 (assume @p115 (forall @t78 (or @t270 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t53 @t1) @t53)))) % 0.83/1.03 (assume @p116 (forall @t78 (or @t270 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t53 @t12 @t1) @t53)))) % 0.83/1.03 (assume @p117 (forall @t271 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t3 @t2) @t75))) % 0.83/1.03 (assume @p118 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t75 @t2) @t75))) % 0.83/1.03 (assume @p119 (forall @t9 (= (tptp.c_HOL_Ouminus__class_Ouminus @t8 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t3 @t2)))) % 0.83/1.03 (assume @p120 (forall (@list @t167 @t188 @t1 @t65 @t83) (or @t189 (not @t193)))) % 0.83/1.03 (assume @p121 (forall @t272 (tptp.c_Map_Omap__le @t83 @t83 @t1 @t65))) % 0.83/1.03 (assume @p122 (forall (@list @t274 @t275 @t1 @t65 @t273) (or (tptp.c_Map_Omap__le @t274 @t275 @t1 @t65) (not (tptp.c_Map_Omap__le @t273 @t275 @t1 @t65)) (not (tptp.c_Map_Omap__le @t274 @t273 @t1 @t65))))) % 0.83/1.03 (assume @p123 (forall (@list @t67 @t66 @t1 @t65) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t67 @t66 @t1 @t65) @t1 @t65) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t66 @t1 @t65) @t276 @t2)))) % 0.83/1.03 (assume @p124 (forall @t165 (or @t278 @t161 @t277))) % 0.83/1.03 (assume @p125 (forall (@list @t12 @t209) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t279))) % 0.83/1.03 (assume @p126 (forall (@list @t5 @t64 @t280 @t1 @t65) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t5 @t64) @t281 @t85) @t281) (not (tptp.hBOOL (tptp.c_in @t64 @t280 @t1)))))) % 0.83/1.03 (assume @p127 (forall (@list @t83 @t1 @t5 @t3 @t65) (or @t282 @t87))) % 0.83/1.03 (assume @p128 (forall @t59 (or (not @t284) @t283))) % 0.83/1.03 (assume @p129 (forall @t59 (or @t284 @t285))) % 0.83/1.03 (assume @p130 (forall @t77 (= @t76 (tptp.c_HOL_Ominus__class_Ominus @t75 @t5 @t2)))) % 0.83/1.03 (assume @p131 (forall (@list @t274 @t273 @t275 @t1 @t65) (= (tptp.c_Map_Omap__add @t274 (tptp.c_Map_Omap__add @t273 @t275 @t1 @t65) @t1 @t65) (tptp.c_Map_Omap__add @t286 @t275 @t1 @t65)))) % 0.83/1.03 (assume @p132 (forall @t291 (or (= (tptp.hAPP (tptp.hAPP @t132 @t290) @t117) @t289) @t134))) % 0.83/1.03 (assume @p133 (forall @t291 (or (= @t289 (tptp.hAPP @t287 (tptp.hAPP @t288 @t117))) @t134))) % 0.83/1.03 (assume @p134 (forall (@list @t132 @t107 @t105 @t1) (or (= @t290 (tptp.hAPP @t287 @t107)) @t134))) % 0.83/1.03 (assume @p135 (forall @t296 (or @t295 @t87 @t292))) % 0.83/1.03 (assume @p136 (forall (@list @t3 @t12 @t5 @t1) (or @t156 @t158 (not @t297)))) % 0.83/1.03 (assume @p137 (forall @t299 (or @t297 @t298))) % 0.83/1.03 (assume @p138 (forall @t299 (or @t297 @t300))) % 0.83/1.03 (assume @p139 (forall @t31 (or @t34 @t303))) % 0.83/1.03 (assume @p140 (forall @t31 (or @t34 @t304))) % 0.83/1.03 (assume @p141 (forall @t31 (or @t43 @t304))) % 0.83/1.03 (assume @p142 (forall @t31 (or @t43 @t303))) % 0.83/1.03 (assume @p143 (forall @t59 (= (tptp.hAPP (tptp.hAPP @t6 @t37) @t18) @t305))) % 0.83/1.03 (assume @p144 (forall @t59 (= @t305 (tptp.hAPP @t35 @t245)))) % 0.83/1.03 (assume @p145 (forall (@list @t65 @t5 @t1 @t3) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t5 @t65 @t2) @t3 @t2) @t3))) % 0.83/1.03 (assume @p146 (forall @t221 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t220 @t2) @t5))) % 0.83/1.03 (assume @p147 (forall @t197 (or @t196 @t308 @t307))) % 0.83/1.03 (assume @p148 (forall @t113 (or @t196 @t306 (not @t308)))) % 0.83/1.03 (assume @p149 (forall @t165 (or @t278 @t87 @t277))) % 0.83/1.03 (assume @p150 (forall @t38 (or @t270 @t309 (= @t3 @t53)))) % 0.83/1.03 (assume @p151 (forall @t38 (or @t270 @t309 (= @t5 @t53)))) % 0.83/1.03 (assume @p152 (forall @t169 (or @t310 @t192))) % 0.83/1.03 (assume @p153 (forall @t169 (or (not @t310) @t191))) % 0.83/1.03 (assume @p154 (forall @t62 (or @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t53 @t1) @t52)))) % 0.83/1.03 (assume @p155 (forall @t62 (= (tptp.c_HOL_Ouminus__class_Ouminus @t75 @t2) @t60))) % 0.83/1.03 (assume @p156 (forall (@list @t1 @t18 @t5 @t3) (= (tptp.hAPP @t56 @t8) (tptp.c_HOL_Ominus__class_Ominus @t57 (tptp.hAPP @t56 @t3) @t2)))) % 0.83/1.03 (assume @p157 (forall @t59 (= (tptp.hAPP @t312 @t18) @t311))) % 0.83/1.03 (assume @p158 (forall @t78 (or @t270 (= (tptp.hAPP @t14 @t53) @t12)))) % 0.83/1.03 (assume @p159 (forall @t78 (or @t270 (= (tptp.hAPP (tptp.hAPP @t13 @t53) @t12) @t12)))) % 0.83/1.03 (assume @p160 (forall @t271 (= (tptp.hAPP (tptp.hAPP @t6 @t75) @t3) @t3))) % 0.83/1.03 (assume @p161 (forall @t262 (= (tptp.hAPP @t7 @t75) @t5))) % 0.83/1.03 (assume @p162 (forall @t86 (= @t315 (tptp.hAPP @t7 @t313)))) % 0.83/1.03 (assume @p163 (forall @t31 (or @t34 (tptp.c_lessequals @t317 @t316 @t1)))) % 0.83/1.03 (assume @p164 (forall (@list @t1 @t5 @t18 @t3) (= @t311 (tptp.c_HOL_Ominus__class_Ominus @t245 @t3 @t2)))) % 0.83/1.03 (assume @p165 (forall @t62 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t75 @t1) @t52)))) % 0.83/1.03 (assume @p166 (forall @t318 (not (tptp.c_HOL_Oord__class_Oless @t12 @t12 @t2)))) % 0.83/1.03 (assume @p167 (forall @t78 (or @t126 @t320))) % 0.83/1.03 (assume @p168 (forall @t78 (or @t321 @t320))) % 0.83/1.03 (assume @p169 (forall @t78 (or @t236 @t320))) % 0.83/1.03 (assume @p170 (forall @t17 (or @t34 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t41 @t1) @t12)))) % 0.83/1.03 (assume @p171 (forall @t78 (tptp.hBOOL (tptp.hAPP @t75 @t12)))) % 0.83/1.03 (assume @p172 (forall @t113 (or @t126 @t324 @t323))) % 0.83/1.03 (assume @p173 (forall @t17 (or @t16 (not (= @t51 @t11)) @t292))) % 0.83/1.03 (assume @p174 (forall @t113 (or @t178 (not (= @t108 @t106)) @t325))) % 0.83/1.03 (assume @p175 (forall @t326 (or (not (= @t76 @t4)) @t277))) % 0.83/1.03 (assume @p176 (forall @t327 (or (not (tptp.class_Orderings_Otop @t65)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t102) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t65))))) % 0.83/1.03 (assume @p177 (forall @t332 (or @t126 @t120 @t331 (not @t125) @t329 @t328))) % 0.83/1.03 (assume @p178 (forall @t332 (or @t126 @t120 @t331 (not @t124) @t329 @t328))) % 0.83/1.03 (assume @p179 (forall (@list @t333 @t1) (or (not (= @t334 @t60)) (= @t333 @t61)))) % 0.83/1.03 (assume @p180 (forall @t336 (or @t335 @t201))) % 0.83/1.03 (assume @p181 (forall @t336 (or @t335 @t203))) % 0.83/1.03 (assume @p182 (forall @t337 (or @t202 @t200 (not @t335)))) % 0.83/1.03 (assume @p183 (forall @t318 (tptp.hBOOL (tptp.c_in @t12 @t75 @t1)))) % 0.83/1.03 (assume @p184 (forall @t337 (or @t203 @t339))) % 0.83/1.03 (assume @p185 (forall @t340 (or @t200 @t339))) % 0.83/1.03 (assume @p186 (forall @t342 (or @t341 @t200))) % 0.83/1.03 (assume @p187 (forall @t342 (or @t201 (not @t341)))) % 0.83/1.03 (assume @p188 (forall @t337 (or @t202 @t201 @t228))) % 0.83/1.03 (assume @p189 (forall @t337 (or @t202 @t343))) % 0.83/1.03 (assume @p190 (forall @t340 (or @t200 @t343))) % 0.83/1.03 (assume @p191 (forall @t346 (or @t295 @t345 @t344 @t292 @t213))) % 0.83/1.03 (assume @p192 (forall @t346 (or @t295 @t345 @t344 @t213 @t292))) % 0.83/1.03 (assume @p193 (forall (@list @t83 @t12 @t209 @t5 @t1 @t65) (or (not (= @t294 (tptp.hAPP @t83 @t209))) @t347 @t344 @t213 @t279))) % 0.83/1.03 (assume @p194 (forall @t346 (or @t295 @t213 @t292 @t345 @t344))) % 0.83/1.03 (assume @p195 (forall (@list @t107 @t141 @t1) (or @t349 (not @t348)))) % 0.83/1.03 (assume @p196 (forall (@list @t141 @t107 @t1) (or @t348 (not @t349)))) % 0.83/1.03 (assume @p197 (forall @t336 (or @t338 @t202 @t201))) % 0.83/1.03 (assume @p198 (forall (@list @t105 @t5 @t3 @t65 @t1 @t12) (or (tptp.hBOOL (tptp.c_in @t105 @t351 @t1)) (not (tptp.hBOOL (tptp.c_in @t105 @t155 @t1))) @t350))) % 0.83/1.03 (assume @p199 (forall (@list @t105 @t5 @t3 @t1 @t65 @t107) (or (tptp.hBOOL (tptp.c_in @t105 @t355 @t65)) (not (tptp.hBOOL (tptp.c_in @t105 @t354 @t65))) @t353))) % 0.83/1.03 (assume @p200 (forall (@list @t107 @t83 @t3 @t1 @t65) (or @t358 (not @t357)))) % 0.83/1.03 (assume @p201 (forall (@list @t107 @t83 @t5 @t65 @t1) (or (tptp.hBOOL (tptp.c_in @t107 @t314 @t65)) (not (tptp.hBOOL (tptp.c_in @t356 @t5 @t1)))))) % 0.83/1.03 (assume @p202 (forall (@list @t107 @t83 @t3 @t65 @t1) (or (tptp.hBOOL (tptp.c_in @t107 @t359 @t65)) (not (tptp.hBOOL (tptp.c_in @t356 @t3 @t1)))))) % 0.83/1.03 (assume @p203 (forall @t360 (or @t357 (not @t358)))) % 0.83/1.03 (assume @p204 (forall (@list @t83 @t107 @t5 @t65 @t1) (or (tptp.hBOOL (tptp.c_in @t356 @t5 @t65)) (not (tptp.hBOOL (tptp.c_in @t107 @t84 @t1)))))) % 0.83/1.03 (assume @p205 (forall (@list @t258 @t260 @t5 @t12 @t1 @t259 @t257 @t256 @t255 @t254 @t253) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t258 @t361) @t12)) @t344 @t261))) % 0.83/1.03 (assume @p206 (forall (@list @t258 @t12 @t259 @t5 @t1 @t260 @t257 @t256 @t255 @t254 @t253) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t258 @t12) @t362)) @t344 @t261))) % 0.83/1.03 (assume @p207 (forall (@list @t5 @t3 @t1 @t65 @t105 @t12) (or @t363 (not (tptp.hBOOL (tptp.hAPP @t155 @t105))) @t344))) % 0.83/1.03 (assume @p208 (forall (@list @t5 @t3 @t1 @t65 @t105 @t107) (or @t363 (not (tptp.hBOOL (tptp.hAPP @t354 @t105))) @t353))) % 0.83/1.03 (assume @p209 (forall @t17 (or @t321 @t292 @t232 @t365))) % 0.83/1.03 (assume @p210 (forall @t17 (or @t321 @t292 @t365 @t232))) % 0.83/1.03 (assume @p211 (forall @t113 (or @t126 @t306 @t123 @t325))) % 0.83/1.03 (assume @p212 (forall @t113 (or @t126 @t306 @t325 @t123))) % 0.83/1.03 (assume @p213 (forall @t17 (or @t126 @t232 @t292 @t365))) % 0.83/1.03 (assume @p214 (forall @t17 (or @t126 @t292 @t232 @t365))) % 0.83/1.03 (assume @p215 (forall @t197 (or @t126 @t322 @t366 @t325))) % 0.83/1.03 (assume @p216 (forall @t197 (or @t126 @t322 @t325 @t366))) % 0.83/1.03 (assume @p217 (forall @t370 (or @t196 @t369 @t368 (not @t367)))) % 0.83/1.03 (assume @p218 (forall @t370 (or @t196 @t369 @t367 @t371))) % 0.83/1.03 (assume @p219 (forall @t237 (or @t236 @t235 @t373 @t233))) % 0.83/1.03 (assume @p220 (forall @t237 (or @t236 @t235 @t234 @t365))) % 0.83/1.03 (assume @p221 (forall @t226 (or @t126 @t225 @t224 @t371))) % 0.83/1.03 (assume @p222 (forall @t226 (or @t126 @t225 @t374 @t223))) % 0.83/1.03 (assume @p223 (forall (@list @t1 @t107 @t12 @t105) (or @t30 @t377 @t376))) % 0.83/1.03 (assume @p224 (forall (@list @t1 @t105 @t12 @t107) (or @t30 @t378 @t376))) % 0.83/1.03 (assume @p225 (forall @t183 (or @t30 @t381 @t380))) % 0.83/1.03 (assume @p226 (forall @t183 (or @t30 @t381 @t383))) % 0.83/1.03 (assume @p227 (forall @t237 (or @t30 @t386 @t385))) % 0.83/1.03 (assume @p228 (forall @t244 (or @t30 @t372 @t385))) % 0.83/1.03 (assume @p229 (forall (@list @t1 @t387 @t83) (or @t170 (tptp.c_lessequals @t387 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t83 @t1) @t1) (not (tptp.c_lessequals @t387 @t388 @t1))))) % 0.83/1.03 (assume @p230 (forall @t78 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t12 @t53 @t1)))) % 0.83/1.03 (assume @p231 (forall @t17 (or @t43 @t389))) % 0.83/1.03 (assume @p232 (forall @t17 (or @t43 @t390))) % 0.83/1.03 (assume @p233 (forall @t183 (or @t43 @t391 @t383 @t380))) % 0.83/1.03 (assume @p234 (forall @t31 (or @t43 @t393 @t392 @t365))) % 0.83/1.03 (assume @p235 (forall @t17 (or @t34 @t390))) % 0.83/1.03 (assume @p236 (forall @t17 (or @t34 @t389))) % 0.83/1.03 (assume @p237 (forall @t17 (or @t30 @t394 @t365))) % 0.83/1.03 (assume @p238 @t397) % 0.83/1.03 (assume @p239 (forall @t17 (or @t30 (= @t28 @t12) @t371))) % 0.83/1.03 (assume @p240 (forall @t17 (or @t236 @t364 @t233))) % 0.83/1.03 (assume @p241 (forall @t17 (or @t126 @t364 @t233))) % 0.83/1.03 (assume @p242 (forall @t17 (or @t236 @t232 @t368 @t365))) % 0.83/1.03 (assume @p243 (forall @t197 (or @t196 @t398 @t123))) % 0.83/1.03 (assume @p244 (forall @t113 (or @t196 @t122 (not @t398)))) % 0.83/1.03 (assume @p245 (forall @t17 (or @t321 @t232 @t368))) % 0.83/1.03 (assume @p246 (forall @t78 (or @t321 (not @t399) @t320))) % 0.83/1.03 (assume @p247 (forall @t78 (or @t321 @t319 @t399))) % 0.83/1.03 (assume @p248 (forall @t17 (or @t321 @t233 @t371))) % 0.83/1.03 (assume @p249 (forall @t400 (or @t321 @t368 @t232))) % 0.83/1.03 (assume @p250 (forall @t17 (or @t321 @t365 @t223))) % 0.83/1.03 (assume @p251 (forall @t400 (or @t321 @t222 @t364))) % 0.83/1.03 (assume @p252 (forall @t400 (or @t236 @t371 @t233))) % 0.83/1.03 (assume @p253 (forall @t17 (or @t43 @t401 @t365))) % 0.83/1.03 (assume @p254 (forall @t17 (or @t43 (not @t401) @t364))) % 0.83/1.03 (assume @p255 (forall @t17 (or @t43 (= @t41 @t10) @t371))) % 0.83/1.03 (assume @p256 (forall @t404 (or @t30 @t375 @t403 @t402))) % 0.83/1.03 (assume @p257 (forall @t17 (or @t30 @t405))) % 0.83/1.03 (assume @p258 (forall @t400 (or @t30 @t406))) % 0.83/1.03 (assume @p259 (forall @t244 (or @t30 (tptp.c_lessequals @t26 @t12 @t1) (not @t407) @t371))) % 0.83/1.03 (assume @p260 (forall @t31 (or @t30 @t384 @t373 @t392))) % 0.83/1.03 (assume @p261 (forall @t400 (or @t34 @t406))) % 0.83/1.03 (assume @p262 (forall @t17 (or @t34 @t405))) % 0.83/1.03 (assume @p263 (forall @t183 (or @t43 @t379 @t408))) % 0.83/1.03 (assume @p264 (forall (@list @t1 @t12 @t105 @t107) (or @t43 @t382 @t408))) % 0.83/1.03 (assume @p265 (forall @t404 (or @t43 @t409 @t402))) % 0.83/1.03 (assume @p266 (forall @t404 (or @t43 @t409 @t403))) % 0.83/1.03 (assume @p267 (forall @t31 (or @t43 @t364 @t410))) % 0.83/1.03 (assume @p268 (forall @t237 (or @t43 @t386 @t410))) % 0.83/1.03 (assume @p269 (forall @t197 (or @t196 @t412 (not @t411)))) % 0.83/1.03 (assume @p270 (forall @t113 (or @t196 @t411 (not @t412)))) % 0.83/1.03 (assume @p271 (forall @t197 (or @t196 @t414 (not @t413)))) % 0.83/1.03 (assume @p272 (forall @t113 (or @t196 @t413 (not @t414)))) % 0.83/1.03 (assume @p273 (forall @t418 (or (= @t417 @t60) @t415))) % 0.83/1.03 (assume @p274 (forall @t420 (or @t419 @t353 @t87))) % 0.83/1.03 (assume @p275 (forall (@list @t107 @t5 @t1 @t83 @t65) (or @t352 (not @t419) @t87))) % 0.83/1.03 (assume @p276 (forall @t78 (or @t270 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t12 @t1) @t12)))) % 0.83/1.03 (assume @p277 (forall @t400 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t222 @t232 @t292))) % 0.83/1.03 (assume @p278 (forall @t17 (or @t321 @t292 @t222 @t232))) % 0.83/1.03 (assume @p279 (forall (@list @t424 @t421 @t117 @t422) (or (= @t424 @t421) (not (tptp.hBOOL (tptp.hAPP @t423 @t424))) (not (tptp.hBOOL (tptp.hAPP @t423 @t421)))))) % 0.83/1.03 (assume @p280 (forall @t169 (or (= @t83 @t167) (not (tptp.c_Map_Omap__le @t167 @t83 @t1 @t65)) @t425))) % 0.83/1.03 (assume @p281 (forall @t400 (or @t321 @t222 @t232 @t292))) % 0.83/1.03 (assume @p282 (forall @t400 (or @t321 @t222 @t292 @t232))) % 0.83/1.03 (assume @p283 (forall @t17 (or @t321 @t292 @t232 @t222))) % 0.83/1.03 (assume @p284 (forall @t17 (or @t34 (= (tptp.hAPP @t14 @t28) @t12)))) % 0.83/1.03 (assume @p285 (forall @t404 (or @t43 @t426 (not (tptp.c_HOL_Oord__class_Oless @t105 @t12 @t1))))) % 0.83/1.03 (assume @p286 (forall @t404 (or @t43 @t426 (not (tptp.c_HOL_Oord__class_Oless @t107 @t12 @t1))))) % 0.83/1.03 (assume @p287 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t37 @t2) @t5))) % 0.83/1.03 (assume @p288 (forall (@list @t107 @t5 @t65 @t3 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t107 @t5 @t65) @t3 @t65 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t354 @t351 @t2)))) % 0.83/1.03 (assume @p289 (forall @t435 (or @t434 (= @t428 @t427)))) % 0.83/1.03 (assume @p290 (forall @t435 (or @t434 (= @t433 @t430)))) % 0.83/1.03 (assume @p291 (forall @t435 (or @t434 (= @t432 @t429)))) % 0.83/1.03 (assume @p292 (forall @t262 (or @t96 (not @t436) @t136))) % 0.83/1.03 (assume @p293 (forall @t77 (or @t436 @t97 @t136))) % 0.83/1.03 (assume @p294 (forall @t77 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t75 @t2) @t60))) % 0.83/1.03 (assume @p295 (forall @t439 (or @t438 @t71 @t437))) % 0.83/1.03 (assume @p296 (forall (@list @t65 @t5) (or (not (tptp.class_HOL_Ouminus @t65)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t102) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus @t101 @t65))))) % 0.83/1.03 (assume @p297 (forall @t244 (or @t243 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t301 @t12 @t1) (tptp.hAPP (tptp.hAPP @t13 @t114) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t12 @t1)))))) % 0.83/1.03 (assume @p298 (forall @t31 (or @t243 (= @t317 @t316)))) % 0.83/1.03 (assume @p299 (forall @t440 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t58 @t2) (tptp.hAPP @t55 @t19)))) % 0.83/1.03 (assume @p300 (forall @t247 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t5 @t2) (tptp.hAPP (tptp.hAPP @t6 @t99) @t54)))) % 0.83/1.03 (assume @p301 (forall @t62 (or @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t52 @t1) @t53)))) % 0.83/1.03 (assume @p302 (forall @t62 (= @t441 @t75))) % 0.83/1.03 (assume @p303 (forall @t17 (or @t34 @t442))) % 0.83/1.03 (assume @p304 (forall @t17 (or @t43 @t442))) % 0.83/1.03 (assume @p305 (forall @t38 (= (tptp.hAPP @t7 @t37) @t37))) % 0.83/1.03 (assume @p306 (forall @t62 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t60 @t1) @t53)))) % 0.83/1.03 (assume @p307 (forall @t78 (or @t43 (= (tptp.hAPP @t14 @t12) @t12)))) % 0.83/1.03 (assume @p308 (forall @t262 (= (tptp.hAPP @t7 @t5) @t5))) % 0.83/1.03 (assume @p309 (forall @t251 (or @t250 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t102) @t83) @t167) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65) @t249) @t248))))) % 0.83/1.03 (assume @p310 (forall (@list @t1 @t117 @t116 @t107 @t105) (or @t126 @t330 @t121))) % 0.83/1.03 (assume @p311 (forall @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t20 @t2) (tptp.hAPP @t312 @t104)))) % 0.83/1.03 (assume @p312 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t37 @t18 @t2) (tptp.hAPP @t7 @t103)))) % 0.83/1.03 (assume @p313 (forall @t267 (or (tptp.c_lessequals (tptp.c_Set_Oimage @t83 @t76 @t1 @t65) (tptp.c_HOL_Ouminus__class_Ouminus @t89 @t85) @t85) @t87))) % 0.83/1.03 (assume @p314 (forall (@list @t12 @t1 @t5 @t141) (or @t143 @t443 @t344))) % 0.83/1.03 (assume @p315 (forall @t440 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t58 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t104 @t2)))) % 0.83/1.03 (assume @p316 (forall (@list @t5 @t3 @t65 @t94 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t147 @t94 @t65 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5 @t94 @t65 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3 @t94 @t65 @t2) @t2)))) % 0.83/1.03 (assume @p317 (forall (@list @t5 @t83 @t12 @t1 @t65) (or @t445 (not @t444)))) % 0.83/1.03 (assume @p318 (forall (@list @t83 @t5 @t1 @t65 @t12) (or @t444 (not @t445)))) % 0.83/1.03 (assume @p319 (forall @t78 (= (tptp.c_The @t447 @t1) @t12))) % 0.83/1.03 (assume @p320 (forall @t267 (or @t448 @t213))) % 0.83/1.03 (assume @p321 (forall (@list @t1 @t5 @t3 @t12) (or @t153 @t298 @t300))) % 0.83/1.03 (assume @p322 (forall @t113 (or @t112 (= @t131 (tptp.c_HOL_Ouminus__class_Ouminus @t130 @t1))))) % 0.83/1.03 (assume @p323 (forall @t418 (or (= @t417 @t75) (not @t415)))) % 0.83/1.03 (assume @p324 (forall @t370 (or @t196 @t369 @t449 @t233))) % 0.83/1.03 (assume @p325 (forall @t370 (or @t196 @t369 @t232 (not @t449)))) % 0.83/1.03 (assume @p326 (forall @t453 (or @t452 (not @t451)))) % 0.83/1.03 (assume @p327 (forall @t453 (or @t451 (not @t452)))) % 0.83/1.03 (assume @p328 (forall @t332 (or @t126 @t120 @t331 @t122))) % 0.83/1.03 (assume @p329 (forall @t113 (or @t126 @t307 @t323))) % 0.83/1.03 (assume @p330 (forall @t17 (or @t321 @t233 @t223))) % 0.83/1.03 (assume @p331 (forall @t400 (or @t236 @t223 @t233))) % 0.83/1.03 (assume @p332 (forall @t197 (or @t236 @t323 @t307))) % 0.83/1.03 (assume @p333 (forall @t159 (or @t460 @t344 @t457 @t456))) % 0.83/1.03 (assume @p334 (forall @t462 (or @t455 @t344 @t461 @t457))) % 0.83/1.03 (assume @p335 (forall @t462 (or @t455 @t344 @t461 @t228))) % 0.83/1.03 (assume @p336 (forall @t462 (or @t455 @t45 @t461 @t228))) % 0.83/1.03 (assume @p337 (forall (@list @t5 @t1 @t3 @t65 @t167 @t83) (or (= @t98 (tptp.c_Finite__Set_Ocard @t3 @t65)) (not @t464) @t136 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t167 @t3 @t65 @t1) @t5 @t2)) (not (tptp.c_Fun_Oinj__on @t167 @t3 @t65 @t1)) (not @t463) @t213))) % 0.83/1.03 (assume @p338 (forall @t478 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t474 @t1) @t477))) % 0.83/1.03 (assume @p339 (forall (@list @t65 @t94 @t479 @t5 @t1) (or @t95 (tptp.c_lessequals (tptp.hAPP @t94 @t479) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t5 @t94 @t1 @t65) @t65) (not (tptp.hBOOL (tptp.c_in @t479 @t5 @t1)))))) % 0.83/1.03 (assume @p340 (forall @t480 (or @t170 (tptp.c_lessequals @t263 @t12 @t1) @t344))) % 0.83/1.03 (assume @p341 (forall @t481 (or @t170 (tptp.c_lessequals @t12 @t269 @t1) @t344))) % 0.83/1.03 (assume @p342 (forall (@list @t3 @t12 @t65 @t5 @t1) (or (tptp.c_Finite__Set_Ofinite @t155 @t65) @t344 (not (tptp.c_Finite__Set_Ofinite @t355 @t65)) @t136))) % 0.83/1.03 (assume @p343 (forall (@list @t5 @t3 @t65 @t1 @t12) (or (not (= @t351 @t60)) @t482 @t350))) % 0.83/1.03 (assume @p344 (forall (@list @t1 @t5 @t3 @t65 @t12) (or (not (= @t60 @t351)) @t482 @t350))) % 0.83/1.03 (assume @p345 (forall @t484 (or @t483 @t344 @t140))) % 0.83/1.03 (assume @p346 (forall (@list @t1 @t12 @t209 @t5) (or @t43 (tptp.c_lessequals @t12 @t209 @t1) @t347 (not (tptp.c_lessequals @t12 @t485 @t1)) @t93 @t136))) % 0.83/1.03 (assume @p347 (forall @t113 (or @t126 @t486 @t122))) % 0.83/1.03 (assume @p348 (forall @t113 (or @t126 (not @t486) @t123))) % 0.83/1.03 (assume @p349 (forall @t113 (or @t126 @t324 @t122))) % 0.83/1.03 (assume @p350 (forall @t113 (or @t126 (not @t324) @t123))) % 0.83/1.03 (assume @p351 (forall @t489 (or (= @t488 (tptp.c_Set_Oinsert @t12 @t8 @t1)) @t457))) % 0.83/1.03 (assume @p352 (forall @t493 (or (= @t492 @t58) @t490))) % 0.83/1.03 (assume @p353 (forall @t495 (or (= @t494 @t37) @t352))) % 0.83/1.03 (assume @p354 (forall @t489 (or (= @t488 @t8) @t483))) % 0.83/1.03 (assume @p355 (forall @t299 (or @t227 @t483 @t456))) % 0.83/1.03 (assume @p356 (forall @t462 (or @t455 @t483 @t228))) % 0.83/1.03 (assume @p357 (forall @t493 (or (= @t492 (tptp.c_Set_Oinsert @t107 @t58 @t1)) (not @t490)))) % 0.83/1.03 (assume @p358 (forall @t495 (or (= @t494 @t496) @t353))) % 0.83/1.03 (assume @p359 (forall (@list @t107 @t83 @t1 @t387) (or (tptp.hBOOL (tptp.c_in @t107 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t83 @t2) @t1)) (not (tptp.c_lessequals @t387 @t388 @t2)) @t497))) % 0.83/1.03 (assume @p360 (forall (@list @t3 @t107 @t5 @t1 @t65) (or (tptp.c_lessequals @t354 @t355 @t85) @t353))) % 0.83/1.03 (assume @p361 (forall (@list @t5 @t12 @t3 @t1 @t280 @t65) (or (tptp.c_lessequals @t157 @t3 @t2) (not (tptp.hBOOL (tptp.c_in @t12 @t280 @t65))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t280 @t5 @t65 @t2) @t3 @t2))))) % 0.83/1.03 (assume @p362 (forall (@list @t132 @t12 @t5 @t1) (or (= (tptp.c_Finite__Set_Ofold1 @t132 @t487 @t1) (tptp.hAPP (tptp.hAPP @t132 @t12) @t133)) @t145 @t136 @t93 @t134))) % 0.83/1.03 (assume @p363 (forall @t498 (or (= (tptp.c_Finite__Set_Ocard @t459 @t1) @t98) @t145 @t136))) % 0.83/1.03 (assume @p364 (forall @t332 (or @t126 @t499 @t329 @t328))) % 0.83/1.03 (assume @p365 (forall @t174 (or @t126 @t173 @t123 @t500))) % 0.83/1.03 (assume @p366 (forall @t172 (or @t126 @t171 @t123 @t500))) % 0.83/1.03 (assume @p367 (forall @t332 (or @t126 @t499 @t122))) % 0.83/1.03 (assume @p368 (forall @t506 (or @t505 (not (tptp.hBOOL (tptp.c_in @t504 @t503 @t1))) @t502 @t501 @t240))) % 0.83/1.03 (assume @p369 (forall (@list @t83 @t12 @t65 @t1) (tptp.hBOOL (tptp.c_in @t294 @t313 @t1)))) % 0.83/1.03 (assume @p370 (forall @t62 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t60 @t1) @t52)))) % 0.83/1.03 (assume @p371 (forall @t462 (or @t455 @t45 @t461 @t457))) % 0.83/1.03 (assume @p372 (forall @t420 (or (not @t511) @t508))) % 0.83/1.03 (assume @p373 (forall @t420 (or @t507 @t511 @t213))) % 0.83/1.03 (assume @p374 (forall (@list @t83 @t167 @t219 @t1 @t65) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t83 @t167 @t219 @t1 @t65) @t241 @t65 @t1) (tptp.c_Set_Oimage @t83 (tptp.c_Set_Oimage @t167 @t241 @t65 @t219) @t219 @t1)))) % 0.83/1.03 (assume @p375 (forall (@list @t5 @t3 @t1 @t107) (or @t514 (not @t513)))) % 0.83/1.03 (assume @p376 (forall @t516 (or @t513 @t515))) % 0.83/1.03 (assume @p377 (forall @t78 (or @t270 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t52 @t1) @t12)))) % 0.83/1.03 (assume @p378 (forall @t78 (or @t270 (= (tptp.hAPP (tptp.hAPP @t13 @t52) @t12) @t52)))) % 0.83/1.03 (assume @p379 (forall @t78 (or @t270 (= (tptp.hAPP @t14 @t52) @t52)))) % 0.83/1.03 (assume @p380 (forall @t38 (or @t270 @t517 (= @t5 @t52)))) % 0.83/1.03 (assume @p381 (forall @t38 (or @t270 @t517 (= @t3 @t52)))) % 0.83/1.03 (assume @p382 (forall @t62 (or @t518 @t96))) % 0.83/1.03 (assume @p383 (forall (@list @t475 @t1 @t238) (or @t521 @t520))) % 0.83/1.03 (assume @p384 (forall (@list @t238 @t1 @t475) (or @t239 @t520))) % 0.83/1.03 (assume @p385 (forall (@list @t238 @t475 @t1) (or @t519 @t522 @t240))) % 0.83/1.03 (assume @p386 (forall @t9 (or @t514 @t136 @t137))) % 0.83/1.03 (assume @p387 (forall @t326 (or @t135 @t515 @t137))) % 0.83/1.03 (assume @p388 (forall @t9 (or @t514 @t136))) % 0.83/1.03 (assume @p389 (forall @t524 (or @t523 @t522))) % 0.83/1.03 (assume @p390 (forall @t524 (or @t523 @t240))) % 0.83/1.03 (assume @p391 (forall @t268 (= (tptp.c_Set_Ovimage @t83 @t210 @t1 @t65) @t60))) % 0.83/1.03 (assume @p392 (forall @t62 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t60 @t2) @t60))) % 0.83/1.03 (assume @p393 (forall (@list @t260 @t1 @t253 @t259 @t258 @t257 @t256 @t255 @t254) (or (= (tptp.hAPP @t260 @t60) @t253) @t261))) % 0.83/1.03 (assume @p394 (forall (@list @t259 @t1 @t254 @t260 @t258 @t257 @t256 @t255 @t253) (or (= (tptp.hAPP @t259 @t60) @t254) @t261))) % 0.83/1.03 (assume @p395 (forall (@list @t1 @t141 @t12) (or (not (= @t60 @t142)) @t443))) % 0.83/1.03 (assume @p396 (forall (@list @t141 @t1 @t12) (or (not (= @t142 @t60)) @t443))) % 0.83/1.03 (assume @p397 (forall (@list @t83 @t1 @t12) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t83 @t60 @t1) @t12))))) % 0.83/1.03 (assume @p398 (forall @t62 (not (= @t75 @t60)))) % 0.83/1.03 (assume @p399 (forall @t262 (= (tptp.c_HOL_Ominus__class_Ominus @t60 @t5 @t2) @t60))) % 0.83/1.03 (assume @p400 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t60 @t2) @t5))) % 0.83/1.03 (assume @p401 (forall @t271 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t3 @t2) @t3))) % 0.83/1.03 (assume @p402 (forall @t77 (not (tptp.c_HOL_Oord__class_Oless @t5 @t60 @t2)))) % 0.83/1.03 (assume @p403 (forall @t77 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t2) @t60))) % 0.83/1.03 (assume @p404 (forall @t77 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t60 @t2) @t5))) % 0.83/1.03 (assume @p405 (forall @t262 (= (tptp.hAPP @t7 @t60) @t60))) % 0.83/1.03 (assume @p406 (forall @t271 (= (tptp.hAPP (tptp.hAPP @t6 @t60) @t3) @t60))) % 0.83/1.03 (assume @p407 (forall @t272 (tptp.c_Fun_Oinj__on @t83 @t60 @t1 @t65))) % 0.83/1.03 (assume @p408 (forall @t9 (or @t525 @t138))) % 0.83/1.03 (assume @p409 (forall @t9 (or @t525 @t93))) % 0.83/1.03 (assume @p410 (forall @t360 (= (tptp.c_Set_Ovimage @t83 @t526 @t1 @t65) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t83 (tptp.c_Set_Oinsert @t107 @t210 @t65) @t1 @t65) @t146 @t2)))) % 0.83/1.03 (assume @p411 (forall @t113 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t528 @t1) @t131)))) % 0.83/1.03 (assume @p412 (forall @t113 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t528 @t1) @t111)))) % 0.83/1.03 (assume @p413 (forall @t38 (or @t139 (not @t529)))) % 0.83/1.03 (assume @p414 (forall @t38 (or @t140 @t529))) % 0.83/1.03 (assume @p415 (forall @t267 (or @t448 @t213 @t136))) % 0.83/1.03 (assume @p416 (forall @t267 (or (not @t448) @t136 @t164))) % 0.83/1.03 (assume @p417 (forall (@list @t260 @t107 @t5 @t1 @t256 @t259 @t258 @t257 @t255 @t254 @t253) (or (= (tptp.hAPP @t260 @t264) (tptp.hAPP @t530 @t361)) @t261))) % 0.83/1.03 (assume @p418 (forall (@list @t259 @t107 @t5 @t1 @t255 @t260 @t258 @t257 @t256 @t254 @t253) (or (= (tptp.hAPP @t259 @t264) (tptp.hAPP @t531 @t362)) @t261))) % 0.83/1.03 (assume @p419 (forall (@list @t1 @t107 @t5 @t3) (= (tptp.hAPP (tptp.hAPP @t6 @t264) @t491) @t496))) % 0.83/1.03 (assume @p420 (forall @t516 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t491 @t2) (tptp.c_Set_Oinsert @t107 @t23 @t1)))) % 0.83/1.03 (assume @p421 (forall (@list @t107 @t3 @t1 @t18) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t491 @t18 @t2) (tptp.c_Set_Oinsert @t107 @t20 @t1)))) % 0.83/1.03 (assume @p422 (forall (@list @t83 @t5 @t1 @t65 @t107) (or @t164 @t508))) % 0.83/1.03 (assume @p423 (forall @t537 (or @t536 @t535 @t534))) % 0.83/1.03 (assume @p424 (forall @t537 (or @t536 @t533 @t539 @t538))) % 0.83/1.03 (assume @p425 (forall (@list @t65 @t167 @t83 @t1) (or @t536 (not @t539) @t534))) % 0.83/1.03 (assume @p426 (forall @t9 (or @t277 @t227 @t45))) % 0.83/1.03 (assume @p427 (forall @t9 (or @t227 @t277 @t45))) % 0.83/1.03 (assume @p428 (forall (@list @t3 @t18 @t5 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t3 (tptp.c_HOL_Ominus__class_Ominus @t18 @t5 @t2) @t2) @t5) @t541 @t45))) % 0.83/1.03 (assume @p429 (forall (@list @t1 @t5 @t3 @t18 @t544) (or (tptp.c_lessequals @t37 (tptp.hAPP @t56 @t544) @t2) @t545 @t543))) % 0.83/1.03 (assume @p430 (forall @t231 (or @t230 @t229 @t45))) % 0.83/1.03 (assume @p431 (forall @t231 (or @t230 @t541 @t228))) % 0.83/1.03 (assume @p432 (forall @t165 (or @t164 @t45 @t214))) % 0.83/1.03 (assume @p433 (forall (@list @t3 @t18 @t1 @t5) (or @t540 @t547))) % 0.83/1.03 (assume @p434 (forall @t231 (or @t542 @t547))) % 0.83/1.03 (assume @p435 (forall @t77 (tptp.c_lessequals @t5 @t75 @t2))) % 0.83/1.03 (assume @p436 (forall (@list @t18 @t1 @t5 @t3) (or @t549 (not @t548) @t285))) % 0.83/1.03 (assume @p437 (forall @t38 (tptp.c_lessequals @t37 @t3 @t2))) % 0.83/1.03 (assume @p438 (forall @t38 (tptp.c_lessequals @t37 @t5 @t2))) % 0.83/1.03 (assume @p439 (forall @t550 (or (tptp.c_lessequals @t23 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t544 @t2) @t2) @t545 @t543))) % 0.83/1.03 (assume @p440 (forall @t9 (or (not @t551) @t44))) % 0.83/1.03 (assume @p441 (forall @t9 (or (= @t23 @t5) @t553))) % 0.83/1.03 (assume @p442 (forall @t9 (or @t551 @t45))) % 0.83/1.03 (assume @p443 (forall @t9 (or @t44 @t228))) % 0.83/1.03 (assume @p444 (forall @t550 (or (tptp.c_lessequals @t8 (tptp.c_HOL_Ominus__class_Ominus @t18 @t544 @t2) @t2) (not (tptp.c_lessequals @t544 @t3 @t2)) @t543))) % 0.83/1.03 (assume @p445 (forall @t326 (or @t554 @t553))) % 0.83/1.03 (assume @p446 (forall @t100 (or @t552 (not @t554)))) % 0.83/1.03 (assume @p447 (forall (@list @t3 @t1 @t5) (or (tptp.c_lessequals @t4 @t76 @t2) @t45))) % 0.83/1.03 (assume @p448 (forall @t38 (or (= @t37 @t5) @t45))) % 0.83/1.03 (assume @p449 (forall @t38 (or (= @t37 @t3) @t553))) % 0.83/1.03 (assume @p450 (forall @t24 (or @t546 @t541 @t543))) % 0.83/1.03 (assume @p451 (forall @t100 (tptp.c_lessequals @t3 @t23 @t2))) % 0.83/1.03 (assume @p452 (forall @t9 (tptp.c_lessequals @t5 @t23 @t2))) % 0.83/1.03 (assume @p453 (forall @t9 (tptp.c_lessequals @t8 @t5 @t2))) % 0.83/1.03 (assume @p454 (forall @t555 (or (tptp.c_lessequals @t314 @t359 @t85) @t45))) % 0.83/1.03 (assume @p455 (forall (@list @t18 @t3 @t1 @t5) (or @t548 @t556))) % 0.83/1.03 (assume @p456 (forall (@list @t18 @t5 @t1 @t3) (or @t283 @t556))) % 0.83/1.03 (assume @p457 (forall (@list @t83 @t5 @t3 @t1 @t65 @t18) (or @t91 @t541 @t543 @t557))) % 0.83/1.03 (assume @p458 (forall @t165 (or @t558 @t45 @t87))) % 0.83/1.03 (assume @p459 (forall (@list @t5 @t3 @t1 @t83 @t65) (or @t44 (not @t558) @t87))) % 0.83/1.03 (assume @p460 (forall (@list @t83 @t1 @t5 @t3 @t65 @t18) (or @t282 @t541 @t543 @t557))) % 0.83/1.03 (assume @p461 (forall @t148 (= (tptp.c_Set_Oimage @t83 @t147 @t65 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t560 @t559 @t2)))) % 0.83/1.03 (assume @p462 (forall (@list @t1 @t274 @t65 @t273) (or (not (= (tptp.hAPP (tptp.hAPP @t6 (tptp.c_Map_Odom @t274 @t1 @t65)) (tptp.c_Map_Odom @t273 @t1 @t65)) @t60)) (= @t286 (tptp.c_Map_Omap__add @t273 @t274 @t1 @t65))))) % 0.83/1.03 (assume @p463 (forall (@list @t83 @t12 @t1 @t65 @t5) (or (not (= @t294 @t61)) (= (tptp.c_HOL_Ominus__class_Ominus @t561 (tptp.c_Set_Oinsert @t12 @t5 @t65) @t85) (tptp.c_HOL_Ominus__class_Ominus @t561 @t5 @t85))))) % 0.83/1.03 (assume @p464 (forall (@list @t209 @t1) (not (= (tptp.c_Option_Ooption_OSome @t209 @t1) @t61)))) % 0.83/1.03 (assume @p465 (forall (@list @t562 @t1) (not (= @t563 @t61)))) % 0.83/1.03 (assume @p466 (forall (@list @t1 @t10) (not (= @t61 @t564)))) % 0.83/1.03 (assume @p467 (forall (@list @t1 @t562) (not (= @t61 @t563)))) % 0.83/1.03 (assume @p468 (forall @t439 (or @t438 @t74 @t437))) % 0.83/1.03 (assume @p469 (forall (@list @t66 @t64 @t565 @t1 @t67 @t65) (or (not (= @t70 @t566)) (= @t68 @t566)))) % 0.83/1.03 (assume @p470 (forall (@list @t66 @t64 @t12 @t1 @t67 @t65) (or (not @t437) @t69))) % 0.83/1.03 (assume @p471 (forall @t478 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t475 @t474 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t476 @t472 @t1))))) % 0.83/1.03 (assume @p472 (forall @t570 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t475 @t567 @t1) @t569))) % 0.83/1.03 (assume @p473 (forall (@list @t1 @t5 @t107) (or @t43 (tptp.c_lessequals @t485 @t107 @t1) @t353 @t136))) % 0.83/1.03 (assume @p474 (forall @t179 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t509 @t1) @t107)))) % 0.83/1.03 (assume @p475 (forall @t571 (= @t264 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t509 @t5 @t2)))) % 0.83/1.03 (assume @p476 (forall @t179 (or @t126 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t107 @t107 @t1) @t509)))) % 0.83/1.03 (assume @p477 (forall @t571 (= @t572 @t264))) % 0.83/1.03 (assume @p478 (forall @t179 (or @t321 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t509 @t1) @t107)))) % 0.83/1.03 (assume @p479 (forall (@list @t83 @t107 @t1) (= (tptp.c_Finite__Set_Ofold1 @t83 @t509 @t1) @t107))) % 0.83/1.03 (assume @p480 (forall (@list @t10 @t12 @t1) (or (= @t10 @t573) (not (tptp.hBOOL (tptp.hAPP @t458 @t10)))))) % 0.83/1.03 (assume @p481 (forall @t318 (= (tptp.c_Set_Ocontents @t458 @t1) @t12))) % 0.83/1.03 (assume @p482 (forall (@list @t107 @t105 @t83 @t1) (or @t325 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t83 @t509 @t1) @t105)))))) % 0.83/1.03 (assume @p483 (forall @t516 (= @t512 (tptp.c_HOL_Ominus__class_Ominus @t8 @t509 @t2)))) % 0.83/1.03 (assume @p484 (forall @t516 (= @t512 (tptp.c_HOL_Ominus__class_Ominus @t510 @t3 @t2)))) % 0.83/1.03 (assume @p485 (forall (@list @t259 @t107 @t105 @t1 @t255 @t260 @t258 @t257 @t256 @t254 @t253) (or (= (tptp.hAPP @t259 @t528) (tptp.hAPP @t531 @t105)) @t261))) % 0.83/1.03 (assume @p486 (forall (@list @t260 @t107 @t105 @t1 @t256 @t259 @t258 @t257 @t255 @t254 @t253) (or (= (tptp.hAPP @t260 @t528) (tptp.hAPP @t530 @t105)) @t261))) % 0.83/1.03 (assume @p487 (forall @t318 (= (tptp.c_The @t458 @t1) @t12))) % 0.83/1.03 (assume @p488 (forall @t179 (or @t321 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t509 @t1) @t107)))) % 0.83/1.03 (assume @p489 (forall (@list @t83 @t12 @t1) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t83 @t458 @t1) @t12)))) % 0.83/1.03 (assume @p490 (forall (@list @t107 @t65 @t3 @t1) (= (tptp.c_Set_Oinsert @t107 @t220 @t1) @t509))) % 0.83/1.03 (assume @p491 (forall @t318 (tptp.hBOOL (tptp.hAPP @t458 @t573)))) % 0.83/1.03 (assume @p492 (forall @t179 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t509 @t1) @t107)))) % 0.83/1.03 (assume @p493 (forall (@list @t259 @t107 @t1 @t260 @t258 @t257 @t256 @t255 @t254 @t253) (or (= (tptp.hAPP @t259 @t509) @t107) @t261))) % 0.83/1.03 (assume @p494 (forall (@list @t260 @t107 @t1 @t259 @t258 @t257 @t256 @t255 @t254 @t253) (or (= (tptp.hAPP @t260 @t509) @t107) @t261))) % 0.83/1.03 (assume @p495 (forall @t179 (= (tptp.c_Collect (tptp.hAPP @t446 @t107) @t1) @t509))) % 0.83/1.03 (assume @p496 (forall @t506 (or @t505 (not (tptp.hBOOL (tptp.hAPP @t141 (tptp.c_Set_Oinsert @t504 @t503 @t1)))) @t502 @t501 @t240))) % 0.83/1.03 (assume @p497 (forall @t62 (tptp.c_lessequals @t60 @t441 @t2))) % 0.83/1.03 (assume @p498 (forall @t77 (or @t93 (not (tptp.c_lessequals @t5 @t76 @t2))))) % 0.83/1.03 (assume @p499 (forall (@list @t5 @t65 @t83 @t1) (or (tptp.c_Finite__Set_Ofinite @t5 @t65) (not (tptp.c_Fun_Oinj__on @t83 @t5 @t65 @t1)) (not (tptp.c_Finite__Set_Ofinite @t560 @t1))))) % 0.83/1.03 (assume @p500 (forall (@list @t117 @t1 @t65) (= (tptp.c_Set_Oimage @t574 @t210 @t65 @t1) @t60))) % 0.83/1.03 (assume @p501 (forall @t577 (or (= @t3 (tptp.c_Set_Oimage @t83 @t576 @t65 @t1)) @t575))) % 0.83/1.03 (assume @p502 (forall @t555 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t560 @t559 @t2) (tptp.c_Set_Oimage @t83 @t266 @t65 @t1) @t2))) % 0.83/1.03 (assume @p503 (forall @t578 (or (tptp.c_lessequals @t576 @t5 @t85) @t575))) % 0.83/1.03 (assume @p504 (forall @t86 (tptp.c_lessequals @t315 @t5 @t2))) % 0.83/1.03 (assume @p505 (forall @t187 (tptp.c_lessequals (tptp.c_Set_Oimage @t83 @t186 @t65 @t1) (tptp.hAPP (tptp.hAPP @t6 @t560) @t559) @t2))) % 0.83/1.03 (assume @p506 (forall @t581 (or @t580 (tptp.hBOOL (tptp.c_in @t105 (tptp.c_Map_Oran @t67 @t65 @t1) @t1))))) % 0.83/1.03 (assume @p507 (forall (@list @t333 @t12 @t1) (or (= @t333 @t63) (not (tptp.hBOOL (tptp.c_in @t12 @t334 @t1)))))) % 0.83/1.03 (assume @p508 (forall @t318 (tptp.hBOOL (tptp.c_in @t12 @t582 @t1)))) % 0.83/1.03 (assume @p509 (forall @t588 (or @t587 (not @t584)))) % 0.83/1.03 (assume @p510 (forall (@list @t590 @t12 @t589 @t1 @t65) (or (= (tptp.hAPP @t590 @t12) (tptp.hAPP @t589 @t12)) (not (tptp.hBOOL (tptp.c_in @t12 (tptp.c_Map_Odom @t590 @t1 @t65) @t1))) (not (tptp.c_Map_Omap__le @t590 @t589 @t1 @t65))))) % 0.83/1.03 (assume @p511 (forall (@list @t67 @t107 @t65 @t1) (or (not @t593) @t592))) % 0.83/1.03 (assume @p512 (forall (@list @t107 @t67 @t1 @t65) (or @t591 @t593))) % 0.83/1.03 (assume @p513 (forall @t588 (or @t587 (tptp.hBOOL (tptp.c_in @t67 (tptp.c_Map_Odom @t585 @t1 @t65) @t1))))) % 0.83/1.03 (assume @p514 (forall @t588 (or (= @t586 (tptp.hAPP @t585 @t67)) @t584))) % 0.83/1.03 (assume @p515 (forall @t602 (or @t601 @t599 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t598)) @t597 @t595) tptp.tc_Com_Ostate)) @t594))) % 0.83/1.03 (assume @p516 (forall (@list @t603 @t1 @t65) (tptp.c_Finite__Set_Ofinite (tptp.c_Map_Odom (tptp.c_Map_Omap__of @t603 @t1 @t65) @t1 @t65) @t1))) % 0.83/1.03 (assume @p517 (forall (@list @t83 @t1 @t65 @t167) (or (tptp.c_lessequals (tptp.c_Map_Odom @t83 @t1 @t65) (tptp.c_Map_Odom @t167 @t1 @t65) @t2) @t425))) % 0.83/1.03 (assume @p518 (forall (@list @t450 @t83 @t65) (= (tptp.c_Predicate_Oinv__imagep @t450 @t83 tptp.v_x tptp.v_y @t65 tptp.t_a) (tptp.hAPP (tptp.hAPP @t450 @t249) (tptp.hAPP @t83 tptp.v_y))))) % 0.83/1.03 (assume @p519 (forall (@list @t141) (or (= @t605 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t141) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t604))))) % 0.83/1.03 (assume @p520 (forall (@list @t475 @t1 @t141 @t606 @t216 @t466) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t431 (tptp.hAPP @t141 @t606)) @t608) (tptp.hAPP @t216 @t606)) @t607 @t465) @t1) (not (tptp.hBOOL (tptp.c_in @t606 @t466 tptp.tc_Com_Opname))) @t477))) % 0.83/1.03 (assume @p521 (forall (@list @t141 @t117 @t216) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t597 @t610 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t597 @t610 tptp.tc_Com_Ostate)) (not @t609)))) % 0.83/1.03 (assume @p522 (forall @t480 (or @t321 (tptp.c_lessequals @t611 @t12 @t1) @t344 @t136))) % 0.83/1.03 (assume @p523 (forall @t481 (or @t321 (tptp.c_lessequals @t12 @t612 @t1) @t344 @t136))) % 0.83/1.03 (assume @p524 (forall @t262 (or @t321 (tptp.hBOOL (tptp.c_in @t612 @t5 @t1)) @t93 @t136))) % 0.83/1.03 (assume @p525 (forall @t262 (or @t321 (tptp.hBOOL (tptp.c_in @t611 @t5 @t1)) @t93 @t136))) % 0.83/1.03 (assume @p526 (forall @t613 (or (= (tptp.c_Finite__Set_Ocard @t487 @t1) @t98) @t344 @t136))) % 0.83/1.03 (assume @p527 (forall @t613 (or (= (tptp.c_HOL_Ominus__class_Ominus @t487 @t458 @t2) @t5) @t145))) % 0.83/1.03 (assume @p528 (forall (@list @t12 @t209 @t65 @t132 @t1) (or (not (= (tptp.c_Set_Oinsert @t12 @t209 @t65) @t210)) (tptp.hBOOL (tptp.c_in @t12 @t209 @t65)) @t134))) % 0.83/1.03 (assume @p529 (forall (@list @t107 @t83 @t1 @t614) (tptp.hBOOL (tptp.c_in @t107 (tptp.c_Set_Ovimage @t83 (tptp.c_Set_Oinsert @t356 @t60 @t1) @t614 @t1) @t614)))) % 0.83/1.03 (assume @p530 (forall (@list @t83 @t107 @t105 @t65 @t1) (or (= @t356 @t105) (not (tptp.hBOOL (tptp.c_in @t107 (tptp.c_Set_Ovimage @t83 (tptp.c_Set_Oinsert @t105 @t210 @t65) @t1 @t65) @t1)))))) % 0.83/1.03 (assume @p531 (forall @t571 (or (= @t572 @t5) @t353))) % 0.83/1.03 (assume @p532 (forall @t299 (or @t44 @t145 @t457 @t456))) % 0.83/1.03 (assume @p533 (forall @t462 (or @t455 @t45 @t145 @t457))) % 0.83/1.03 (assume @p534 (forall @t462 (or @t455 @t45 @t145 @t228))) % 0.83/1.03 (assume @p535 (forall (@list @t83 @t167 @t1 @t219 @t65) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t83 @t167 @t1 @t219 @t65) @t241 @t65 @t219) @t219) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t167 @t241 @t65 @t1) @t1))))) % 0.83/1.03 (assume @p536 (forall @t165 (or @t463 (tptp.hBOOL (tptp.c_in @t615 @t5 @t1))))) % 0.83/1.03 (assume @p537 (forall @t555 (or @t617 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP @t83 @t616) @t3 @t1)))))) % 0.83/1.03 (assume @p538 (forall @t555 (or @t617 (tptp.hBOOL (tptp.c_in @t616 @t5 @t65))))) % 0.83/1.03 (assume @p539 (forall (@list @t167 @t107 @t83 @t65 @t387 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t167 @t107) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t83 @t85) @t65)) (not (tptp.c_lessequals @t618 (tptp.hAPP @t83 @t618) @t85)) @t497))) % 0.83/1.03 (assume @p540 (forall @t165 (or @t463 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP @t83 @t615) @t3 @t65)))))) % 0.83/1.03 (assume @p541 (forall @t506 (or @t505 (tptp.hBOOL (tptp.hAPP @t141 @t503)) @t502 @t501 @t240))) % 0.83/1.03 (assume @p542 (forall @t506 (or @t505 (tptp.c_Finite__Set_Ofinite @t503 @t1) @t502 @t501 @t240))) % 0.83/1.03 (assume @p543 (forall @t462 (or @t621 @t45 @t620))) % 0.83/1.03 (assume @p544 (forall (@list @t117 @t1 @t65 @t5) (or (= (tptp.c_Set_Oimage @t574 @t5 @t65 @t1) (tptp.c_Set_Oinsert @t117 @t60 @t1)) @t622))) % 0.83/1.03 (assume @p545 (forall @t252 (or @t624 (not (tptp.c_lessequals @t5 @t623 @t2)) @t136))) % 0.83/1.03 (assume @p546 (forall @t577 (or (= @t3 (tptp.c_Set_Oimage @t83 @t625 @t65 @t1)) @t575 @t137))) % 0.83/1.03 (assume @p547 (forall @t578 (or (tptp.c_Finite__Set_Ofinite @t625 @t65) @t575 @t137))) % 0.83/1.03 (assume @p548 (forall @t252 (or (= @t623 @t5) (not @t624) (not (tptp.c_lessequals @t623 @t5 @t2)) @t136))) % 0.83/1.03 (assume @p549 (forall @t578 (or (tptp.c_lessequals @t625 @t5 @t85) @t575 @t137))) % 0.83/1.03 (assume @p550 (forall @t318 (= @t582 @t458))) % 0.83/1.03 (assume @p551 (forall (@list @t67 @t107 @t1 @t65) (or (= @t579 (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__XdomD__1__1 @t107 @t67 @t1 @t65) @t65)) @t592))) % 0.83/1.03 (assume @p552 (forall @t602 (or @t601 @t599 (tptp.hBOOL (tptp.c_in @t598 @t626 tptp.tc_Com_Opname)) @t594))) % 0.83/1.03 (assume @p553 (tptp.c_Finite__Set_Ofinite @t626 tptp.tc_Com_Opname)) % 0.83/1.03 (assume @p554 (forall @t152 (or @t609 @t599 @t627 @t594))) % 0.83/1.03 (assume @p555 (forall (@list @t141 @t422 @t628) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP @t469 @t605)) @t422) @t628)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t604) @t422) @t628)))))) % 0.83/1.03 (assume @p556 (forall (@list @t606 @t629 @t628) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t608) @t629) @t628)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t631) @t629) @t628)))))) % 0.83/1.03 (assume @p557 (forall @t506 (or @t505 (tptp.hBOOL (tptp.c_in @t504 @t5 @t1)) @t502 @t501 @t240))) % 0.83/1.03 (assume @p558 (forall (@list @t1 @t94 @t632) (or @t321 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t94 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t632 @t1) @t1) @t635 @t634 @t633))) % 0.83/1.03 (assume @p559 (forall (@list @t1 @t632 @t94) (or @t321 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t632 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t94 @t1) @t1) @t635 @t634 @t633))) % 0.83/1.03 (assume @p560 (forall @t159 (or @t619 @t344 @t636))) % 0.83/1.03 (assume @p561 (forall @t462 (or @t621 @t344 @t620))) % 0.83/1.03 (assume @p562 (forall (@list @t117 @t65 @t1 @t5 @t12) (or (= (tptp.c_Set_Oimage @t416 @t5 @t1 @t65) (tptp.c_Set_Oinsert @t117 @t210 @t65)) @t344))) % 0.83/1.03 (assume @p563 (forall (@list @t606 @t105) (or (not (= @t630 (tptp.c_Option_Ooption_OSome @t105 tptp.tc_Com_Ocom))) @t627 (tptp.c_Com_OWT @t105)))) % 0.83/1.03 (assume @p564 (forall (@list @t475 @t466) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t639 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t466 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t475 @t639 @t596) (tptp.c_Set_Oimage @t637 @t466 tptp.tc_Com_Opname @t595) tptp.tc_Com_Ostate))))) % 0.83/1.03 (assume @p565 (forall @t644 (or @t643 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t641 @t1))))) % 0.83/1.03 (assume @p566 (forall @t644 (or @t643 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t642 @t475 @t465) @t641 @t1))))) % 0.83/1.03 (assume @p567 (forall (@list @t475 @t421 @t567 @t1) (or @t646 @t569 (not @t645)))) % 0.83/1.03 (assume @p568 (forall @t165 (or @t558 @t45))) % 0.83/1.03 (assume @p569 (forall @t647 (or (not (tptp.c_lessequals @t12 @t5 @t85)) (tptp.c_lessequals (tptp.c_Set_Oimage @t83 @t12 @t65 @t1) @t560 @t2)))) % 0.83/1.03 (assume @p570 (forall (@list @t107 @t18 @t1 @t544) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t107 @t18 @t1) (tptp.c_Set_Oinsert @t107 @t544 @t1) @t2) (not (tptp.c_lessequals @t18 @t544 @t2))))) % 0.83/1.03 (assume @p571 (forall @t78 (= (tptp.hAPP (tptp.c_Option_Othe @t1) @t63) @t12))) % 0.83/1.03 (assume @p572 (forall @t400 (or @t321 @t368 @t364))) % 0.83/1.03 (assume @p573 (forall (@list @t475 @t567 @t1 @t421) (or @t568 @t648))) % 0.83/1.03 (assume @p574 (forall @t498 (or (= @t5 @t458) @t93 (not (tptp.c_lessequals @t5 @t458 @t2))))) % 0.83/1.03 (assume @p575 (forall @t318 (tptp.hBOOL (tptp.c_in @t12 @t458 @t1)))) % 0.83/1.03 (assume @p576 (forall @t86 (or (not (= @t560 @t60)) @t622))) % 0.83/1.03 (assume @p577 (forall (@list @t107 @t105 @t5 @t1) (or @t649 @t353))) % 0.83/1.03 (assume @p578 (forall (@list @t107 @t105 @t3 @t1) (or (tptp.hBOOL (tptp.c_in @t107 @t650 @t1)) (not (tptp.hBOOL (tptp.c_in @t107 @t3 @t1)))))) % 0.83/1.03 (assume @p579 (forall (@list @t475 @t567 @t1 @t651) (or @t568 (not (tptp.c_lessequals @t567 @t651 @t473)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t651 @t1))))) % 0.83/1.03 (assume @p580 (forall @t326 (or @t135 @t45 @t137))) % 0.83/1.03 (assume @p581 (forall @t654 (or @t653 @t652 @t443))) % 0.83/1.03 (assume @p582 (forall @t326 (or @t135 @t137 @t45))) % 0.83/1.03 (assume @p583 (forall @t78 (or @t236 @t399))) % 0.83/1.03 (assume @p584 (forall @t78 (or @t126 @t399))) % 0.83/1.03 (assume @p585 (forall @t654 (or @t653 @t443 @t652))) % 0.83/1.03 (assume @p586 (forall @t657 (or @t568 (not (tptp.c_lessequals @t655 @t475 @t473)) @t656))) % 0.83/1.03 (assume @p587 (forall @t231 (or @t542 @t541 @t45))) % 0.83/1.03 (assume @p588 (forall @t77 (tptp.c_lessequals @t5 @t5 @t2))) % 0.83/1.03 (assume @p589 (forall (@list @t421 @t3 @t1 @t5) (or (tptp.hBOOL (tptp.c_in @t421 @t3 @t1)) (not (tptp.hBOOL (tptp.c_in @t421 @t5 @t1))) @t45))) % 0.83/1.03 (assume @p590 (forall @t484 (or @t457 @t45 @t344))) % 0.83/1.03 (assume @p591 (forall @t318 (tptp.c_lessequals @t12 @t12 @t2))) % 0.83/1.03 (assume @p592 (forall @t337 (or @t202 @t201 @t45))) % 0.83/1.03 (assume @p593 (forall @t484 (or @t457 @t344 @t45))) % 0.83/1.03 (assume @p594 (forall @t237 (or @t236 @t386 @t373 @t365))) % 0.83/1.03 (assume @p595 (forall @t226 (or @t126 @t407 @t374 @t371))) % 0.83/1.03 (assume @p596 @t658) % 0.83/1.03 (assume @p597 (forall @t489 (or @t659 @t45 @t483))) % 0.83/1.03 (assume @p598 (forall @t613 (tptp.hBOOL (tptp.hAPP @t487 @t12)))) % 0.83/1.03 (assume @p599 (forall @t360 (= (tptp.c_Set_Oimage @t83 @t526 @t65 @t1) (tptp.c_Set_Oinsert @t356 @t559 @t1)))) % 0.83/1.03 (assume @p600 (forall @t657 (or @t568 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t655 @t1)) @t656))) % 0.83/1.03 (assume @p601 (forall @t318 @t660)) % 0.83/1.03 (assume @p602 (forall @t661 (or @t242 @t660))) % 0.83/1.03 (assume @p603 (forall (@list @t117 @t1) (not (tptp.hBOOL (tptp.c_in @t117 @t60 @t1))))) % 0.83/1.03 (assume @p604 (forall (@list @t107 @t1) (not (tptp.hBOOL (tptp.c_in @t107 @t60 @t1))))) % 0.83/1.03 (assume @p605 (forall @t265 (not (= @t60 @t264)))) % 0.83/1.03 (assume @p606 (forall @t62 (tptp.c_lessequals @t60 @t60 @t2))) % 0.83/1.03 (assume @p607 (forall @t77 (or @t93 (not (tptp.c_lessequals @t5 @t60 @t2))))) % 0.83/1.03 (assume @p608 (= (tptp.hAPP @t662 tptp.v_x) (tptp.c_in tptp.v_x @t662 tptp.t_a))) % 0.83/1.03 (assume @p609 (forall @t666 (or @t665 @t664 @t663))) % 0.83/1.03 (assume @p610 (forall @t666 (or @t665 @t667 @t663))) % 0.83/1.03 (assume @p611 (forall @t666 (or @t665 @t664 @t668))) % 0.83/1.03 (assume @p612 (forall @t666 (or @t665 @t667 @t668))) % 0.83/1.03 (assume @p613 (forall (@list @t188 @t238 @t1 @t65) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t188 @t238 @t1 @t65) @t65) @t240))) % 0.83/1.03 (assume @p614 (forall @t17 (or @t126 @t292 @t365 @t371))) % 0.83/1.03 (assume @p615 (forall @t17 (or @t126 @t292 @t371 @t365))) % 0.83/1.03 (assume @p616 (forall @t9 (or @t277 @t553 @t45))) % 0.83/1.03 (assume @p617 (forall (@list @t107 @t5 @t1 @t105) (or @t352 @t325 (not @t649)))) % 0.83/1.03 (assume @p618 (forall @t78 (not (tptp.hBOOL (tptp.hAPP @t60 @t12))))) % 0.83/1.03 (assume @p619 (forall (@list @t475 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 @t607 @t1))) % 0.83/1.03 (assume @p620 (forall @t581 (or @t580 (tptp.hBOOL (tptp.c_in @t107 (tptp.c_Map_Odom @t67 @t65 @t1) @t65))))) % 0.83/1.03 (assume @p621 (forall (@list @t107 @t1 @t562) (or (not (= (tptp.c_Option_Ooption_OSome @t107 @t1) @t563)) (= @t107 @t562)))) % 0.83/1.03 (assume @p622 (forall @t62 (tptp.c_Finite__Set_Ofinite @t60 @t1))) % 0.83/1.03 (assume @p623 (forall @t571 (or @t669 @t136))) % 0.83/1.03 (assume @p624 (forall (@list @t5 @t1 @t107) (or @t135 (not @t669)))) % 0.83/1.03 (assume @p625 (forall (@list @t3 @t107 @t1) (tptp.c_lessequals @t3 @t491 @t2))) % 0.83/1.03 (assume @p626 (forall (@list @t5 @t12 @t10 @t1) (or @t158 (= @t10 @t12) (not @t671)))) % 0.83/1.03 (assume @p627 (forall @t613 (= (tptp.c_Set_Oinsert @t12 @t487 @t1) @t487))) % 0.83/1.03 (assume @p628 (forall @t571 (not (= @t264 @t60)))) % 0.83/1.03 (assume @p629 (forall @t78 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t52 @t12 @t1)))) % 0.83/1.03 (assume @p630 (forall @t262 (tptp.c_lessequals @t60 @t5 @t2))) % 0.83/1.03 (assume @p631 (forall (@list @t1 @t83 @t5 @t65) (or (not (= @t60 @t560)) @t622))) % 0.83/1.03 (assume @p632 (forall @t327 (or (not (tptp.class_Orderings_Obot @t65)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t102) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t65))))) % 0.83/1.03 (assume @p633 (forall (@list @t475 @t606) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t475 (tptp.c_Set_Oinsert @t672 @t597 @t595) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t672 @t475 @t595) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t631) @t597 @t595) tptp.tc_Com_Ostate))))) % 0.83/1.03 (assume @p634 (forall (@list @t5 @t105 @t3 @t1) (or (tptp.c_lessequals @t5 @t650 @t2) @t45))) % 0.83/1.03 (assume @p635 (forall @t299 (or @t44 @t673))) % 0.83/1.03 (assume @p636 (forall (@list @t3 @t65 @t83 @t5 @t1) (or @t464 @t166 @t136))) % 0.83/1.03 (assume @p637 (forall (@list @t83 @t12 @t3 @t1 @t5 @t65) (or (tptp.hBOOL (tptp.c_in @t294 @t3 @t1)) @t350 (not @t617)))) % 0.83/1.03 (assume @p638 (forall (@list @t105 @t107 @t1) (or (= @t105 @t107) (not (tptp.hBOOL (tptp.c_in @t105 @t509 @t1)))))) % 0.83/1.03 (assume @p639 (forall @t613 (tptp.hBOOL (tptp.c_in @t12 @t487 @t1)))) % 0.83/1.03 (assume @p640 (forall (@list @t107 @t3 @t1) (tptp.hBOOL (tptp.c_in @t107 @t491 @t1)))) % 0.83/1.03 (assume @p641 (forall (@list @t12 @t3 @t1) (tptp.hBOOL (tptp.c_in @t12 @t454 @t1)))) % 0.83/1.03 (assume @p642 (forall (@list @t12 @t10 @t5 @t1) (= (tptp.c_Set_Oinsert @t12 @t670 @t1) (tptp.c_Set_Oinsert @t10 @t487 @t1)))) % 0.83/1.03 (assume @p643 (forall (@list @t12 @t674 @t1) (or @t676 (not @t675)))) % 0.83/1.03 (assume @p644 (forall (@list @t674 @t12 @t1) (or @t675 (not @t676)))) % 0.83/1.03 (assume @p645 (forall (@list @t141 @t216 @t65 @t1 @t219 @t215) (= (tptp.hAPP (tptp.c_COMBB @t141 @t216 @t65 @t1 @t219) @t215) (tptp.hAPP @t141 @t217)))) % 0.83/1.03 (assume @p646 (forall (@list @t209 @t12 @t1) (= (tptp.c_Set_Oinsert @t209 @t458 @t1) (tptp.c_Set_Oinsert @t12 (tptp.c_Set_Oinsert @t209 @t60 @t1) @t1)))) % 0.83/1.03 (assume @p647 (forall @t268 (= @t677 @t60))) % 0.83/1.03 (assume @p648 (forall @t296 (or (not (= @t294 @t564)) (= (tptp.c_Set_Oinsert @t12 @t561 @t65) @t561)))) % 0.83/1.03 (assume @p649 (forall (@list @t107 @t1 @t105) (or (not (= @t509 @t527)) @t325))) % 0.83/1.03 (assume @p650 (forall @t661 (or @t443 @t660))) % 0.83/1.03 (assume @p651 (forall (@list @t12 @t209 @t1) (or (not (= (tptp.c_Set_Oinsert @t12 @t209 @t1) @t60)) (tptp.hBOOL (tptp.c_in @t12 @t209 @t1))))) % 0.83/1.03 (assume @p652 (forall (@list @t475 @t421 @t1 @t567) (or @t645 @t648))) % 0.83/1.03 (assume @p653 (forall @t484 (or @t457 @t673))) % 0.83/1.03 (assume @p654 (forall (@list @t10 @t5 @t1 @t12) (or @t671 @t300))) % 0.83/1.03 (assume @p655 (forall @t678 (or (= (tptp.c_Set_Oinsert @t294 @t89 @t65) @t89) @t344))) % 0.83/1.03 (assume @p656 (forall @t462 (or @t621 @t45 @t145))) % 0.83/1.03 (assume @p657 (forall @t299 (or @t44 @t145 @t636))) % 0.83/1.03 (assume @p658 (forall @t299 (or @t44 @t636 @t145))) % 0.83/1.03 (assume @p659 (forall @t489 (or (not (= @t487 @t454)) @t457 @t145 @t277))) % 0.83/1.03 (assume @p660 (forall @t570 (or @t568 (not (tptp.c_lessequals @t567 @t475 @t473))))) % 0.83/1.03 (assume @p661 (forall (@list @t680 @t679) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t680) (tptp.hAPP tptp.c_Com_Ocom_OBODY @t679))) (= @t680 @t679)))) % 0.83/1.03 (assume @p662 @t682) % 0.83/1.03 (assume @p663 (forall (@list @t1 @t83 @t65) (= @t60 @t677))) % 0.83/1.03 (assume @p664 (forall @t262 (or @t518 @t135))) % 0.83/1.03 (assume @p665 (forall (@list @t12 @t5 @t614 @t83 @t1) (or (not (tptp.hBOOL (tptp.c_in @t12 @t5 @t614))) (tptp.hBOOL (tptp.c_in @t294 (tptp.c_Set_Oimage @t83 @t5 @t614 @t1) @t1))))) % 0.83/1.03 (assume @p666 (forall @t647 (or @t350 @t683))) % 0.83/1.03 (assume @p667 (forall (@list @t83 @t12 @t5 @t65 @t1) (or @t683 @t350))) % 0.83/1.03 (assume @p668 (forall @t678 (or (tptp.hBOOL (tptp.c_in @t294 @t89 @t65)) @t344))) % 0.83/1.03 (assume @p669 (forall (@list @t65 @t83 @t12 @t167 @t1) (or @t536 (tptp.c_lessequals @t294 (tptp.hAPP @t167 @t12) @t65) @t538))) % 0.83/1.03 (assume @p670 tptp.c_Com_OWT__bodies) % 0.83/1.03 (assume @p671 (tptp.c_Finite__Set_Ofinite tptp.v_Fa @t595)) % 0.83/1.03 (assume @p672 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT tptp.v_y) tptp.v_Fa @t595)))) % 0.83/1.03 (assume @p673 (tptp.c_lessequals tptp.v_Fa (tptp.c_Set_Oimage @t637 @t626 tptp.tc_Com_Opname @t595) @t596)) % 0.83/1.03 (assume @p674 (= (tptp.hAPP tptp.c_Com_Obody tptp.v_pn) (tptp.c_Option_Ooption_OSome tptp.v_y tptp.tc_Com_Ocom))) % 0.83/1.03 (assume @p675 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t684 tptp.v_Fa tptp.tc_Com_Ostate)) % 0.83/1.03 (assume @p676 @t685) % 0.83/1.03 (assume @p677 (not @t689)) % 0.83/1.03 (assume @p678 (forall @t693 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t692) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t690))))) % 0.83/1.03 (assume @p679 (forall @t693 (or (tptp.class_Lattices_Oupper__semilattice @t692) @t694))) % 0.83/1.03 (assume @p680 (forall @t693 (or (tptp.class_Lattices_Olower__semilattice @t692) @t694))) % 0.83/1.03 (assume @p681 (forall @t693 (or (tptp.class_Lattices_Odistrib__lattice @t692) (not (tptp.class_Lattices_Odistrib__lattice @t690))))) % 0.83/1.03 (assume @p682 (forall @t693 (or (tptp.class_Lattices_Obounded__lattice @t692) (not (tptp.class_Lattices_Obounded__lattice @t690))))) % 0.83/1.03 (assume @p683 (forall @t693 (or (tptp.class_Lattices_Oboolean__algebra @t692) (not (tptp.class_Lattices_Oboolean__algebra @t690))))) % 0.83/1.03 (assume @p684 (forall @t693 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t692) @t695 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t691))))) % 0.83/1.03 (assume @p685 (forall @t693 (or (tptp.class_Orderings_Opreorder @t692) (not (tptp.class_Orderings_Opreorder @t690))))) % 0.83/1.03 (assume @p686 (forall @t693 (or (tptp.class_Lattices_Olattice @t692) @t694))) % 0.83/1.03 (assume @p687 (forall @t693 (or (tptp.class_Orderings_Oorder @t692) (not (tptp.class_Orderings_Oorder @t690))))) % 0.83/1.03 (assume @p688 (forall @t693 (or (tptp.class_Orderings_Otop @t692) (not (tptp.class_Orderings_Otop @t690))))) % 0.83/1.03 (assume @p689 (forall @t693 (or (tptp.class_Orderings_Obot @t692) (not (tptp.class_Orderings_Obot @t690))))) % 0.83/1.03 (assume @p690 (forall @t693 (or (tptp.class_HOL_Ouminus @t692) (not (tptp.class_HOL_Ouminus @t690))))) % 0.83/1.03 (assume @p691 (forall @t693 (or (tptp.class_HOL_Ominus @t692) (not (tptp.class_HOL_Ominus @t690))))) % 0.83/1.03 (assume @p692 (forall @t693 (or (tptp.class_HOL_Oord @t692) (not (tptp.class_HOL_Oord @t690))))) % 0.83/1.03 (assume @p693 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.83/1.03 (assume @p694 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.83/1.03 (assume @p695 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.83/1.03 (assume @p696 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.83/1.03 (assume @p697 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.83/1.03 (assume @p698 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.83/1.03 (assume @p699 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.83/1.03 (assume @p700 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.83/1.03 (assume @p701 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.83/1.03 (assume @p702 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.83/1.03 (assume @p703 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.83/1.03 (assume @p704 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.83/1.03 (assume @p705 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.83/1.03 (assume @p706 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.83/1.03 (assume @p707 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.83/1.03 (assume @p708 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.83/1.03 (assume @p709 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.83/1.03 (assume @p710 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.83/1.03 (assume @p711 @t696) % 0.83/1.03 (assume @p712 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.83/1.03 (assume @p713 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.83/1.03 (assume @p714 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.83/1.03 (assume @p715 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 0.83/1.03 (assume @p716 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.83/1.03 (assume @p717 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.83/1.03 (assume @p718 (forall (@list @t690) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t690)) @t695))) % 0.83/1.03 (assume @p719 (forall (@list @t141 @t216 @t215 @t65 @t219 @t1) (= (tptp.c_COMBC @t141 @t216 @t215 @t65 @t219 @t1) (tptp.hAPP @t218 @t216)))) % 0.83/1.03 (assume @p720 (forall @t78 (tptp.hBOOL (tptp.hAPP @t447 @t12)))) % 0.83/1.03 (assume @p721 (forall (@list @t387 @t697 @t1) (or (= @t387 @t697) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t446 @t387) @t697)))))) % 0.83/1.03 (step @p722 :rule eq-symm :args (@t699 @t684)) % 0.83/1.03 (step @p723 :rule refl :args (@t658)) % 0.83/1.03 (step @p724 :rule cong :premises (@p723 @p722) :args ((=> @t658 @t700))) % 0.83/1.03 (assume-push @p822 @t658) % 0.83/1.03 (step @p726 :rule instantiate :premises (@p596) :args (@t701)) % 0.83/1.03 (step-pop @p823 :rule scope :premises (@p726)) % 0.83/1.03 (step @p727 :rule process_scope :premises (@p823) :args (@t700)) % 0.83/1.03 (step @p729 :rule eq_resolve :premises (@p727 @p724)) % 0.83/1.03 (step @p730 :rule implies_elim :premises (@p729)) % 0.83/1.03 (step @p731 :rule chain_m_resolution :premises (@p730 @p596) :args (@t702 @t703 @t704)) % 0.83/1.03 (step @p732 :rule refl :args (@t353)) % 0.83/1.03 (step @p733 :rule eq-symm :args (@t264 @t5)) % 0.83/1.03 (step @p734 :rule nary_cong :premises (@p733 @p732) :args (@t681)) % 0.83/1.03 (step @p735 :rule cong :premises (@p734) :args (@t682)) % 0.83/1.03 (step @p736 :rule eq_resolve :premises (@p662 @p735)) % 0.83/1.03 (step @p737 :rule instantiate :premises (@p736) :args ((@list tptp.v_x @t626 tptp.tc_Com_Opname))) % 0.83/1.03 (step @p738 :rule cnf_or_pos :args (@t708)) % 0.83/1.03 (step @p739 :rule reordering :premises (@p738) :args ((or @t705 @t707 (not @t708)))) % 0.83/1.03 (step @p740 :rule chain_m_resolution :premises (@p739 @p676 @p737) :args (@t707 @t709 (@list @t685 @t708))) % 0.83/1.03 (step @p741 :rule instantiate :premises (@p475) :args ((@list @t687 @t684 @t595))) % 0.83/1.03 (step @p742 :rule instantiate :premises (@p599) :args ((@list tptp.c_Com_Ocom_OBODY tptp.v_x @t626 tptp.tc_Com_Opname tptp.tc_Com_Ocom))) % 0.83/1.03 (step @p743 :rule instantiate :premises (@p599) :args (@t710)) % 0.83/1.03 (step @p744 :rule refl :args (@t364)) % 0.83/1.03 (step @p745 :rule eq-symm :args (@t28 @t10)) % 0.83/1.03 (step @p746 :rule cong :premises (@p745) :args (@t395)) % 0.83/1.03 (step @p747 :rule refl :args (@t30)) % 0.83/1.03 (step @p748 :rule nary_cong :premises (@p747 @p746 @p744) :args (@t396)) % 0.83/1.03 (step @p749 :rule cong :premises (@p748) :args (@t397)) % 0.83/1.03 (step @p750 :rule eq_resolve :premises (@p238 @p749)) % 0.83/1.03 (step @p751 :rule instantiate :premises (@p750) :args ((@list @t596 @t688 @t684))) % 0.83/1.03 (step @p752 :rule instantiate :premises (@p660) :args ((@list @t684 @t688 tptp.tc_Com_Ostate))) % 0.83/1.03 (step @p753 :rule cnf_or_pos :args (@t713)) % 0.83/1.03 (step @p754 :rule reordering :premises (@p753) :args ((or @t689 @t712 (not @t713)))) % 0.83/1.03 (step @p755 :rule chain_m_resolution :premises (@p754 @p677 @p752) :args (@t712 (@list true false) (@list @t689 @t713))) % 0.83/1.03 (step @p756 :rule instantiate :premises (@p679) :args ((@list @t595 tptp.tc_bool))) % 0.83/1.03 (step @p757 :rule cnf_or_pos :args (@t716)) % 0.83/1.03 (step @p758 :rule reordering :premises (@p757) :args ((or @t714 @t715 (not @t716)))) % 0.83/1.03 (step @p759 :rule chain_m_resolution :premises (@p758 @p711 @p756) :args (@t715 @t709 (@list @t696 @t716))) % 0.83/1.03 (step @p760 :rule cnf_or_pos :args (@t721)) % 0.83/1.03 (step @p761 :rule reordering :premises (@p760) :args ((or @t720 @t711 @t719 (not @t721)))) % 0.83/1.03 (step @p762 :rule chain_m_resolution :premises (@p761 @p759 @p755 @p751) :args (@t719 (@list false true false) (@list @t715 @t711 @t721))) % 0.83/1.03 (step @p763 :rule refl :args (@t725)) % 0.83/1.03 (step @p764 :rule refl :args (@t727)) % 0.83/1.03 (step @p765 :rule refl :args (@t730)) % 0.83/1.03 (step @p766 :rule bool-double-not-elim :args (@t718)) % 0.83/1.03 (step @p767 :rule refl :args (@t731)) % 0.83/1.03 (step @p768 :rule refl :args (@t732)) % 0.83/1.03 (step @p769 :rule nary_cong :premises (@p768 @p767 @p766 @p765 @p764 @p763) :args ((or @t732 @t731 (not @t719) @t730 @t727 @t725))) % 0.83/1.03 (assume-push @p824 @t702) % 0.83/1.03 (assume-push @p825 @t733) % 0.83/1.03 (assume-push @p826 @t729) % 0.83/1.03 (assume-push @p827 @t719) % 0.83/1.03 (step @p774 :rule evaluate :args ((= false true))) % 0.83/1.03 (step @p775 :rule refl :args (@t595)) % 0.83/1.03 (step @p726 :rule instantiate :premises (@p596) :args (@t701)) % 0.83/1.03 (step @p776 :rule refl :args (@t687)) % 0.83/1.03 (step @p777 :rule cong :premises (@p776 @p726 @p775) :args (@t722)) % 0.83/1.03 (step @p778 :rule instantiate :premises (@p599) :args (@t710)) % 0.83/1.03 (step @p779 :rule refl :args (tptp.tc_Com_Ocom)) % 0.83/1.03 (step @p780 :rule refl :args (tptp.tc_Com_Opname)) % 0.83/1.03 (step @p781 :rule refl :args (tptp.c_Com_Ocom_OBODY)) % 0.83/1.03 (step @p782 :rule cong :premises (@p781 @p740 @p780 @p779) :args (@t698)) % 0.83/1.03 (step @p783 :rule trans :premises (@p782 @p742)) % 0.83/1.03 (step @p784 :rule refl :args (tptp.c_Hoare__Mirabelle_OMGT)) % 0.83/1.03 (step @p785 :rule cong :premises (@p784 @p783 @p779 @p775) :args (@t699)) % 0.83/1.03 (step @p786 :rule chain_m_resolution :premises (@p730 @p596) :args (@t702 @t703 @t704)) % 0.83/1.03 (step @p787 :rule trans :premises (@p786 @p785 @p778 @p777)) % 0.83/1.03 (step @p788 :rule symm :premises (@p787)) % 0.83/1.03 (step @p789 :rule trans :premises (@p788 @p731)) % 0.83/1.03 (step @p790 :rule symm :premises (@p789)) % 0.83/1.03 (step @p791 :rule trans :premises (@p731 @p790 @p741)) % 0.83/1.03 (step @p792 :rule true_intro :premises (@p791)) % 0.83/1.03 (step @p793 :rule false_intro :premises (@p762)) % 0.83/1.03 (step @p794 :rule symm :premises (@p793)) % 0.83/1.03 (step @p795 :rule trans :premises (@p794 @p792)) % 0.83/1.03 (step @p796 false :rule eq_resolve :premises (@p795 @p774)) % 0.83/1.03 (step-pop @p828 :rule scope :premises (@p796)) % 0.83/1.03 (step-pop @p829 :rule scope :premises (@p828)) % 0.83/1.03 (step-pop @p830 :rule scope :premises (@p829)) % 0.83/1.03 (step-pop @p831 :rule scope :premises (@p830)) % 0.83/1.03 (step @p797 :rule process_scope :premises (@p831) :args (false)) % 0.83/1.03 (assume-push @p832 @t702) % 0.83/1.03 (assume-push @p833 @t707) % 0.83/1.03 (assume-push @p834 @t719) % 0.83/1.03 (assume-push @p835 @t729) % 0.83/1.03 (assume-push @p836 @t726) % 0.83/1.03 (assume-push @p837 @t724) % 0.83/1.03 (step @p775 :rule refl :args (@t595)) % 0.83/1.03 (step @p726 :rule instantiate :premises (@p596) :args (@t701)) % 0.83/1.03 (step @p776 :rule refl :args (@t687)) % 0.83/1.04 (step @p777 :rule cong :premises (@p776 @p726 @p775) :args (@t722)) % 0.83/1.04 (step @p779 :rule refl :args (tptp.tc_Com_Ocom)) % 0.83/1.04 (step @p780 :rule refl :args (tptp.tc_Com_Opname)) % 0.83/1.04 (step @p781 :rule refl :args (tptp.c_Com_Ocom_OBODY)) % 0.83/1.04 (step @p782 :rule cong :premises (@p781 @p740 @p780 @p779) :args (@t698)) % 0.83/1.04 (step @p783 :rule trans :premises (@p782 @p742)) % 0.83/1.04 (step @p784 :rule refl :args (tptp.c_Hoare__Mirabelle_OMGT)) % 0.83/1.04 (step @p785 :rule cong :premises (@p784 @p783 @p779 @p775) :args (@t699)) % 0.83/1.04 (step @p808 :rule trans :premises (@p731 @p785 @p743 @p777)) % 0.83/1.04 (step @p809 :rule and_intro :premises (@p731 @p808 @p741 @p762)) % 0.83/1.04 (step-pop @p838 :rule scope :premises (@p809)) % 0.83/1.04 (step-pop @p839 :rule scope :premises (@p838)) % 0.83/1.04 (step-pop @p840 :rule scope :premises (@p839)) % 0.83/1.04 (step-pop @p841 :rule scope :premises (@p840)) % 0.83/1.04 (step-pop @p842 :rule scope :premises (@p841)) % 0.83/1.04 (step-pop @p843 :rule scope :premises (@p842)) % 0.83/1.04 (step @p810 :rule process_scope :premises (@p843) :args (@t734)) % 0.83/1.04 (step @p817 :rule implies_elim :premises (@p810)) % 0.83/1.04 (step @p818 :rule resolution :premises (@p817 @p797) :args (true @t734)) % 0.83/1.04 (step @p819 :rule not_and :premises (@p818)) % 0.83/1.04 (step @p820 :rule eq_resolve :premises (@p819 @p769)) % 0.83/1.04 (step @p821 false :rule chain_m_resolution :premises (@p820 @p762 @p743 @p742 @p741 @p740 @p731) :args (false (@list true false false false false false) (@list @t718 @t724 @t726 @t729 @t707 @t702))) % 0.83/1.04 ) % 0.83/1.04 % SZS output end Proof % 0.83/1.04 % cvc5 exiting %------------------------------------------------------------------------------