%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV903-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 2.84s 3.10s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV903-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:21:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.84/3.10 % SZS status Unsatisfiable % 2.84/3.10 % SZS output start Proof % 2.84/3.12 ( % 2.84/3.12 (declare-sort $$unsorted 0) % 2.84/3.12 (declare-const tptp.v_pna $$unsorted) % 2.84/3.12 (declare-const tptp.v_ya $$unsorted) % 2.84/3.12 (declare-const tptp.v_pn $$unsorted) % 2.84/3.12 (declare-const tptp.v_Fa $$unsorted) % 2.84/3.12 (declare-const tptp.c_Map_Osko__Map__XdomD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.tc_Com_Opname $$unsorted) % 2.84/3.12 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.tc_Com_Ocom $$unsorted) % 2.84/3.12 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 2.84/3.12 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 2.84/3.12 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 2.84/3.12 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Com_OWT__bodies Bool) % 2.84/3.12 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.tc_bool $$unsorted) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.tc_Com_Ostate $$unsorted) % 2.84/3.12 (declare-const tptp.tc_nat $$unsorted) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.v_y $$unsorted) % 2.84/3.12 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.c_Com_Obody $$unsorted) % 2.84/3.12 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.84/3.12 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.84/3.12 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 2.84/3.12 (define @t1 () (@var "T_a" $$unsorted)) % 2.84/3.12 (define @t2 () (@var "V_y" $$unsorted)) % 2.84/3.12 (define @t3 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 2.84/3.12 (define @t4 () (@var "V_x" $$unsorted)) % 2.84/3.12 (define @t5 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 2.84/3.12 (define @t6 () (tptp.hAPP @t5 @t4)) % 2.84/3.12 (define @t7 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t2 @t1)) % 2.84/3.12 (define @t8 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 2.84/3.12 (define @t9 () (@list @t1 @t4 @t2)) % 2.84/3.12 (define @t10 () (tptp.tc_fun @t1 tptp.tc_bool)) % 2.84/3.12 (define @t11 () (@var "V_C" $$unsorted)) % 2.84/3.12 (define @t12 () (@var "V_A" $$unsorted)) % 2.84/3.12 (define @t13 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t11 @t10)) % 2.84/3.12 (define @t14 () (@var "V_B" $$unsorted)) % 2.84/3.12 (define @t15 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t11 @t10)) % 2.84/3.12 (define @t16 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t15 @t10)) % 2.84/3.12 (define @t17 () (@list @t12 @t14 @t11 @t1)) % 2.84/3.12 (define @t18 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t14 @t10)) % 2.84/3.12 (define @t19 () (@list @t12 @t14 @t1 @t11)) % 2.84/3.12 (define @t20 () (@var "V_z" $$unsorted)) % 2.84/3.12 (define @t21 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t20 @t1)) % 2.84/3.12 (define @t22 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t21 @t1)) % 2.84/3.12 (define @t23 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t2 @t1)) % 2.84/3.12 (define @t24 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t20 @t1) @t22)) % 2.84/3.12 (define @t25 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 2.84/3.12 (define @t26 () (@list @t1 @t4 @t2 @t20)) % 2.84/3.12 (define @t27 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t20 @t1)) % 2.84/3.12 (define @t28 () (= @t22 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t27 @t1))) % 2.84/3.12 (define @t29 () (not (tptp.class_Lattices_Olattice @t1))) % 2.84/3.12 (define @t30 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10)) % 2.84/3.12 (define @t31 () (tptp.hAPP @t30 @t14)) % 2.84/3.12 (define @t32 () (tptp.hAPP @t31 @t12)) % 2.84/3.12 (define @t33 () (tptp.hAPP @t30 @t12)) % 2.84/3.12 (define @t34 () (tptp.hAPP @t33 @t14)) % 2.84/3.12 (define @t35 () (@list @t1 @t12 @t14)) % 2.84/3.12 (define @t36 () (tptp.hAPP @t5 @t2)) % 2.84/3.12 (define @t37 () (tptp.hAPP @t36 @t4)) % 2.84/3.12 (define @t38 () (tptp.hAPP @t6 @t2)) % 2.84/3.12 (define @t39 () (= @t38 @t37)) % 2.84/3.12 (define @t40 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 2.84/3.12 (define @t41 () (tptp.c_lessequals @t12 @t14 @t10)) % 2.84/3.12 (define @t42 () (not @t41)) % 2.84/3.12 (define @t43 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t12 @t10)) % 2.84/3.12 (define @t44 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t43 @t10)) % 2.84/3.12 (define @t45 () (@list @t12 @t14 @t1)) % 2.84/3.12 (define @t46 () (tptp.hAPP @t6 @t21)) % 2.84/3.12 (define @t47 () (tptp.hAPP @t6 @t20)) % 2.84/3.12 (define @t48 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t47 @t1)) % 2.84/3.12 (define @t49 () (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t1)) % 2.84/3.12 (define @t50 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 2.84/3.12 (define @t51 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 2.84/3.12 (define @t52 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t12 @t10)) % 2.84/3.12 (define @t53 () (tptp.hAPP @t30 @t18)) % 2.84/3.12 (define @t54 () (tptp.hAPP @t30 @t11)) % 2.84/3.12 (define @t55 () (tptp.hAPP @t54 @t12)) % 2.84/3.12 (define @t56 () (tptp.hAPP @t31 @t11)) % 2.84/3.12 (define @t57 () (@list @t1 @t12 @t14 @t11)) % 2.84/3.12 (define @t58 () (tptp.c_Orderings_Obot__class_Obot @t10)) % 2.84/3.12 (define @t59 () (tptp.c_Option_Ooption_ONone @t1)) % 2.84/3.12 (define @t60 () (@list @t1)) % 2.84/3.12 (define @t61 () (tptp.c_Option_Ooption_OSome @t4 @t1)) % 2.84/3.12 (define @t62 () (@var "V_k" $$unsorted)) % 2.84/3.12 (define @t63 () (@var "T_b" $$unsorted)) % 2.84/3.12 (define @t64 () (@var "V_n" $$unsorted)) % 2.84/3.12 (define @t65 () (@var "V_m" $$unsorted)) % 2.84/3.12 (define @t66 () (tptp.hAPP (tptp.c_Map_Omap__add @t65 @t64 @t63 @t1) @t62)) % 2.84/3.12 (define @t67 () (= @t66 @t61)) % 2.84/3.12 (define @t68 () (tptp.hAPP @t64 @t62)) % 2.84/3.12 (define @t69 () (= @t68 @t59)) % 2.84/3.12 (define @t70 () (not @t69)) % 2.84/3.12 (define @t71 () (tptp.hAPP @t65 @t62)) % 2.84/3.12 (define @t72 () (= @t71 @t61)) % 2.84/3.12 (define @t73 () (tptp.c_Orderings_Otop__class_Otop @t10)) % 2.84/3.12 (define @t74 () (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t10)) % 2.84/3.12 (define @t75 () (@list @t12 @t1)) % 2.84/3.12 (define @t76 () (@list @t1 @t4)) % 2.84/3.12 (define @t77 () (= @t71 @t59)) % 2.84/3.12 (define @t78 () (= @t66 @t59)) % 2.84/3.12 (define @t79 () (not @t78)) % 2.84/3.12 (define @t80 () (@list @t65 @t64 @t63 @t1 @t62)) % 2.84/3.12 (define @t81 () (@var "V_f" $$unsorted)) % 2.84/3.12 (define @t82 () (tptp.c_Set_Ovimage @t81 @t12 @t1 @t63)) % 2.84/3.12 (define @t83 () (tptp.tc_fun @t63 tptp.tc_bool)) % 2.84/3.12 (define @t84 () (@list @t81 @t12 @t63 @t1)) % 2.84/3.12 (define @t85 () (not (tptp.c_Fun_Oinj__on @t81 @t73 @t1 @t63))) % 2.84/3.12 (define @t86 () (tptp.c_Set_Oimage @t81 @t14 @t1 @t63)) % 2.84/3.12 (define @t87 () (tptp.c_Set_Oimage @t81 @t12 @t1 @t63)) % 2.84/3.12 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t14 @t10)) % 2.84/3.12 (define @t89 () (tptp.c_Set_Oimage @t81 @t88 @t1 @t63)) % 2.84/3.12 (define @t90 () (= @t89 (tptp.c_HOL_Ominus__class_Ominus @t87 @t86 @t83))) % 2.84/3.12 (define @t91 () (@list @t81 @t12 @t14 @t1 @t63)) % 2.84/3.12 (define @t92 () (= @t12 @t58)) % 2.84/3.12 (define @t93 () (@var "V_M" $$unsorted)) % 2.84/3.12 (define @t94 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t63))) % 2.84/3.12 (define @t95 () (tptp.c_Finite__Set_Ofinite @t73 @t1)) % 2.84/3.12 (define @t96 () (not @t95)) % 2.84/3.12 (define @t97 () (tptp.c_Finite__Set_Ocard @t12 @t1)) % 2.84/3.12 (define @t98 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t12 @t10)) % 2.84/3.12 (define @t99 () (@list @t14 @t12 @t1)) % 2.84/3.12 (define @t100 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t11 @t10)) % 2.84/3.12 (define @t101 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t11 @t10)) % 2.84/3.12 (define @t102 () (@var "V_b" $$unsorted)) % 2.84/3.12 (define @t103 () (tptp.c_HOL_Ouminus__class_Ouminus @t102 @t1)) % 2.84/3.12 (define @t104 () (@var "V_a" $$unsorted)) % 2.84/3.12 (define @t105 () (tptp.c_HOL_Ouminus__class_Ouminus @t104 @t1)) % 2.84/3.12 (define @t106 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t103 @t1)) % 2.84/3.12 (define @t107 () (tptp.hAPP @t5 @t104)) % 2.84/3.12 (define @t108 () (tptp.hAPP @t107 @t102)) % 2.84/3.12 (define @t109 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 2.84/3.12 (define @t110 () (@list @t1 @t104 @t102)) % 2.84/3.12 (define @t111 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t4 @t1)) % 2.84/3.12 (define @t112 () (= @t23 @t111)) % 2.84/3.12 (define @t113 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t10)) % 2.84/3.12 (define @t114 () (@var "V_d" $$unsorted)) % 2.84/3.12 (define @t115 () (@var "V_c" $$unsorted)) % 2.84/3.12 (define @t116 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t115 @t114 @t1)) % 2.84/3.12 (define @t117 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t104 @t102 @t1)) % 2.84/3.12 (define @t118 () (tptp.c_HOL_Oord__class_Oless @t117 @t116 @t10)) % 2.84/3.12 (define @t119 () (not @t118)) % 2.84/3.12 (define @t120 () (tptp.c_lessequals @t104 @t102 @t1)) % 2.84/3.12 (define @t121 () (not @t120)) % 2.84/3.12 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t115 @t104 @t1)) % 2.84/3.12 (define @t123 () (tptp.c_HOL_Oord__class_Oless @t102 @t114 @t1)) % 2.84/3.12 (define @t124 () (not (tptp.class_Orderings_Oorder @t1))) % 2.84/3.12 (define @t125 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t23 @t1) @t23)) % 2.84/3.12 (define @t126 () (tptp.hAPP @t30 @t74)) % 2.84/3.12 (define @t127 () (tptp.hAPP @t5 @t49)) % 2.84/3.12 (define @t128 () (tptp.hAPP (tptp.hAPP @t5 @t105) @t103)) % 2.84/3.12 (define @t129 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t104 @t102 @t1)) % 2.84/3.12 (define @t130 () (@var "V_times" $$unsorted)) % 2.84/3.12 (define @t131 () (tptp.c_Finite__Set_Ofold1 @t130 @t12 @t1)) % 2.84/3.12 (define @t132 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t130 @t1))) % 2.84/3.12 (define @t133 () (tptp.c_Finite__Set_Ofinite @t12 @t1)) % 2.84/3.12 (define @t134 () (not @t133)) % 2.84/3.12 (define @t135 () (not (tptp.c_Finite__Set_Ofinite @t14 @t1))) % 2.84/3.12 (define @t136 () (= @t14 @t58)) % 2.84/3.12 (define @t137 () (= @t34 @t58)) % 2.84/3.12 (define @t138 () (not @t137)) % 2.84/3.12 (define @t139 () (@var "V_P" $$unsorted)) % 2.84/3.12 (define @t140 () (tptp.c_Collect @t139 @t1)) % 2.84/3.12 (define @t141 () (tptp.c_in @t4 (tptp.hAPP @t33 @t140) @t1)) % 2.84/3.12 (define @t142 () (not @t141)) % 2.84/3.12 (define @t143 () (tptp.c_in @t4 @t12 @t1)) % 2.84/3.12 (define @t144 () (tptp.c_Set_Ovimage @t81 @t14 @t1 @t63)) % 2.84/3.12 (define @t145 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t14 @t83)) % 2.84/3.12 (define @t146 () (@list @t81 @t12 @t14 @t63 @t1)) % 2.84/3.12 (define @t147 () (tptp.c_Natural_Oevalc @t115)) % 2.84/3.12 (define @t148 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t115)) % 2.84/3.12 (define @t149 () (@list @t115)) % 2.84/3.12 (define @t150 () (tptp.hBOOL (tptp.hAPP @t34 @t4))) % 2.84/3.12 (define @t151 () (not @t150)) % 2.84/3.12 (define @t152 () (tptp.hAPP @t14 @t4)) % 2.84/3.12 (define @t153 () (tptp.hBOOL @t152)) % 2.84/3.12 (define @t154 () (tptp.hAPP @t12 @t4)) % 2.84/3.12 (define @t155 () (tptp.hBOOL @t154)) % 2.84/3.12 (define @t156 () (@list @t12 @t4 @t1 @t14)) % 2.84/3.12 (define @t157 () (tptp.hAPP @t81 @t4)) % 2.84/3.12 (define @t158 () (tptp.c_Fun_Ofun__upd @t81 @t4 @t2 @t1 @t63)) % 2.84/3.12 (define @t159 () (@list @t81 @t4 @t2 @t1 @t63)) % 2.84/3.12 (define @t160 () (tptp.c_Fun_Oinj__on @t81 @t18 @t1 @t63)) % 2.84/3.12 (define @t161 () (not @t160)) % 2.84/3.12 (define @t162 () (tptp.c_Fun_Oinj__on @t81 @t14 @t1 @t63)) % 2.84/3.12 (define @t163 () (@list @t81 @t14 @t1 @t63 @t12)) % 2.84/3.12 (define @t164 () (tptp.c_Fun_Oinj__on @t81 @t12 @t1 @t63)) % 2.84/3.12 (define @t165 () (@list @t81 @t12 @t1 @t63 @t14)) % 2.84/3.12 (define @t166 () (not (tptp.c_lessequals @t14 @t87 @t83))) % 2.84/3.12 (define @t167 () (@var "V_g" $$unsorted)) % 2.84/3.12 (define @t168 () (tptp.c_Map_Omap__add @t167 @t81 @t1 @t63)) % 2.84/3.12 (define @t169 () (@list @t81 @t167 @t1 @t63)) % 2.84/3.12 (define @t170 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 2.84/3.12 (define @t171 () (tptp.c_lessequals @t115 @t104 @t1)) % 2.84/3.12 (define @t172 () (@list @t1 @t115 @t104 @t102 @t114)) % 2.84/3.12 (define @t173 () (tptp.c_lessequals @t102 @t114 @t1)) % 2.84/3.12 (define @t174 () (@list @t1 @t102 @t114 @t104 @t115)) % 2.84/3.12 (define @t175 () (tptp.c_lessequals @t12 @t15 @t10)) % 2.84/3.12 (define @t176 () (tptp.c_lessequals @t88 @t11 @t10)) % 2.84/3.12 (define @t177 () (tptp.c_HOL_Ouminus__class_Ouminus @t105 @t1)) % 2.84/3.12 (define @t178 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 2.84/3.12 (define @t179 () (@list @t1 @t104)) % 2.84/3.12 (define @t180 () (tptp.c_HOL_Ouminus__class_Ouminus @t103 @t1)) % 2.84/3.12 (define @t181 () (@list @t1 @t102)) % 2.84/3.12 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t4 @t129 @t1)) % 2.84/3.12 (define @t183 () (@list @t1 @t4 @t104 @t102)) % 2.84/3.12 (define @t184 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 2.84/3.12 (define @t185 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t83)) % 2.84/3.12 (define @t186 () (tptp.hAPP (tptp.hAPP @t185 @t12) @t14)) % 2.84/3.12 (define @t187 () (@list @t81 @t63 @t12 @t14 @t1)) % 2.84/3.12 (define @t188 () (@var "V_h" $$unsorted)) % 2.84/3.12 (define @t189 () (tptp.c_Map_Omap__le @t167 @t188 @t1 @t63)) % 2.84/3.12 (define @t190 () (tptp.c_Map_Omap__add @t81 @t167 @t1 @t63)) % 2.84/3.12 (define @t191 () (tptp.c_Map_Omap__le @t81 @t190 @t1 @t63)) % 2.84/3.12 (define @t192 () (not @t191)) % 2.84/3.12 (define @t193 () (tptp.c_Map_Omap__le @t190 @t188 @t1 @t63)) % 2.84/3.12 (define @t194 () (tptp.c_HOL_Oord__class_Oless @t104 @t103 @t1)) % 2.84/3.12 (define @t195 () (tptp.c_HOL_Oord__class_Oless @t102 @t105 @t1)) % 2.84/3.12 (define @t196 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 2.84/3.12 (define @t197 () (@list @t1 @t102 @t104)) % 2.84/3.12 (define @t198 () (tptp.c_HOL_Oord__class_Oless @t105 @t102 @t1)) % 2.84/3.12 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t103 @t104 @t1)) % 2.84/3.12 (define @t200 () (tptp.c_in @t115 @t12 @t1)) % 2.84/3.12 (define @t201 () (not @t200)) % 2.84/3.12 (define @t202 () (tptp.c_in @t115 @t14 @t1)) % 2.84/3.12 (define @t203 () (not @t202)) % 2.84/3.12 (define @t204 () (tptp.c_in @t115 @t34 @t1)) % 2.84/3.12 (define @t205 () (@var "V_y_H" $$unsorted)) % 2.84/3.12 (define @t206 () (@var "V_x_H" $$unsorted)) % 2.84/3.12 (define @t207 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t205 @t1)) % 2.84/3.12 (define @t208 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t4 @t1)) % 2.84/3.12 (define @t209 () (@var "V_xa" $$unsorted)) % 2.84/3.12 (define @t210 () (tptp.c_Orderings_Obot__class_Obot @t83)) % 2.84/3.12 (define @t211 () (= (tptp.hAPP (tptp.hAPP @t185 @t89) (tptp.c_Set_Oimage @t81 @t43 @t1 @t63)) @t210)) % 2.84/3.12 (define @t212 () (@list @t63 @t81 @t12 @t14 @t1)) % 2.84/3.12 (define @t213 () (not @t164)) % 2.84/3.12 (define @t214 () (not @t162)) % 2.84/3.12 (define @t215 () (@var "V_Q" $$unsorted)) % 2.84/3.12 (define @t216 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t14 @t63 @t10)) % 2.84/3.12 (define @t217 () (@list @t12 @t63 @t14 @t1)) % 2.84/3.12 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t2 @t4 @t1)) % 2.84/3.12 (define @t219 () (not @t218)) % 2.84/3.12 (define @t220 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t2 @t1))) % 2.84/3.12 (define @t221 () (tptp.c_HOL_Oord__class_Oless @t20 @t4 @t1)) % 2.84/3.12 (define @t222 () (@list @t1 @t20 @t4 @t2)) % 2.84/3.12 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t12 @t14 @t10)) % 2.84/3.12 (define @t224 () (not @t223)) % 2.84/3.12 (define @t225 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t11 @t10))) % 2.84/3.12 (define @t226 () (tptp.c_HOL_Oord__class_Oless @t12 @t11 @t10)) % 2.84/3.12 (define @t227 () (@list @t12 @t11 @t1 @t14)) % 2.84/3.12 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t4 @t2 @t1)) % 2.84/3.12 (define @t229 () (not @t228)) % 2.84/3.12 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t20 @t1))) % 2.84/3.12 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t4 @t20 @t1)) % 2.84/3.12 (define @t232 () (not (tptp.class_Orderings_Opreorder @t1))) % 2.84/3.12 (define @t233 () (@list @t1 @t4 @t20 @t2)) % 2.84/3.12 (define @t234 () (@var "V_F" $$unsorted)) % 2.84/3.12 (define @t235 () (tptp.c_Finite__Set_Ofinite @t234 @t1)) % 2.84/3.12 (define @t236 () (not @t235)) % 2.84/3.12 (define @t237 () (tptp.c_Orderings_Otop__class_Otop @t83)) % 2.84/3.12 (define @t238 () (tptp.hBOOL (tptp.hAPP @t139 @t4))) % 2.84/3.12 (define @t239 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 2.84/3.12 (define @t240 () (@list @t1 @t2 @t20 @t4)) % 2.84/3.12 (define @t241 () (tptp.hAPP @t33 @t11)) % 2.84/3.12 (define @t242 () (tptp.hAPP @t33 @t15)) % 2.84/3.12 (define @t243 () (@list @t1 @t14 @t11 @t12)) % 2.84/3.12 (define @t244 () (@list @t81 @t12 @t1)) % 2.84/3.12 (define @t245 () (@var "V_top" $$unsorted)) % 2.84/3.12 (define @t246 () (@var "V_bot" $$unsorted)) % 2.84/3.12 (define @t247 () (@var "V_sup" $$unsorted)) % 2.84/3.12 (define @t248 () (@var "V_inf" $$unsorted)) % 2.84/3.12 (define @t249 () (@var "V_less" $$unsorted)) % 2.84/3.12 (define @t250 () (@var "V_less__eq" $$unsorted)) % 2.84/3.12 (define @t251 () (@var "V_Sup" $$unsorted)) % 2.84/3.12 (define @t252 () (@var "V_Inf" $$unsorted)) % 2.84/3.12 (define @t253 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t1))) % 2.84/3.12 (define @t254 () (@list @t1 @t12)) % 2.84/3.12 (define @t255 () (tptp.c_Complete__Lattice_OInf__class_OInf @t12 @t1)) % 2.84/3.12 (define @t256 () (tptp.c_Set_Oinsert @t104 @t12 @t1)) % 2.84/3.12 (define @t257 () (@list @t1 @t104 @t12)) % 2.84/3.12 (define @t258 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t14 @t83)) % 2.84/3.12 (define @t259 () (@list @t81 @t12 @t1 @t63)) % 2.84/3.12 (define @t260 () (@list @t81 @t63 @t1)) % 2.84/3.12 (define @t261 () (tptp.c_Complete__Lattice_OSup__class_OSup @t12 @t1)) % 2.84/3.12 (define @t262 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 2.84/3.12 (define @t263 () (@list @t1 @t14)) % 2.84/3.12 (define @t264 () (@list @t81 @t1 @t63)) % 2.84/3.12 (define @t265 () (@var "V_m2" $$unsorted)) % 2.84/3.12 (define @t266 () (@var "V_m1" $$unsorted)) % 2.84/3.12 (define @t267 () (@var "V_m3" $$unsorted)) % 2.84/3.12 (define @t268 () (tptp.c_Map_Odom @t65 @t1 @t63)) % 2.84/3.12 (define @t269 () (= @t12 @t14)) % 2.84/3.12 (define @t270 () (not (= @t87 @t86))) % 2.84/3.12 (define @t271 () (= @t4 @t209)) % 2.84/3.12 (define @t272 () (@var "V_I" $$unsorted)) % 2.84/3.12 (define @t273 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t272 @t12 @t1 @t83)) % 2.84/3.12 (define @t274 () (= (tptp.c_Set_Oimage @t81 @t34 @t1 @t63) (tptp.hAPP (tptp.hAPP @t185 @t87) @t86))) % 2.84/3.12 (define @t275 () (tptp.c_lessequals @t11 @t12 @t10)) % 2.84/3.12 (define @t276 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t11 @t10) @t242)) % 2.84/3.12 (define @t277 () (not @t275)) % 2.84/3.12 (define @t278 () (tptp.c_Map_Omap__add @t266 @t265 @t1 @t63)) % 2.84/3.12 (define @t279 () (tptp.hAPP @t130 @t102)) % 2.84/3.12 (define @t280 () (tptp.hAPP @t130 @t104)) % 2.84/3.12 (define @t281 () (tptp.hAPP @t280 (tptp.hAPP @t279 @t115))) % 2.84/3.12 (define @t282 () (tptp.hAPP @t280 @t102)) % 2.84/3.12 (define @t283 () (@list @t130 @t104 @t102 @t115 @t1)) % 2.84/3.12 (define @t284 () (= @t104 @t115)) % 2.84/3.12 (define @t285 () (= @t4 @t2)) % 2.84/3.12 (define @t286 () (not (= @t157 (tptp.hAPP @t81 @t2)))) % 2.84/3.12 (define @t287 () (tptp.hBOOL (tptp.hAPP @t18 @t4))) % 2.84/3.12 (define @t288 () (not @t153)) % 2.84/3.12 (define @t289 () (@list @t12 @t14 @t1 @t4)) % 2.84/3.12 (define @t290 () (not @t155)) % 2.84/3.12 (define @t291 () (tptp.hAPP @t36 @t20)) % 2.84/3.12 (define @t292 () (tptp.hAPP @t6 @t291)) % 2.84/3.12 (define @t293 () (= (tptp.hAPP (tptp.hAPP @t5 @t38) @t20) @t292)) % 2.84/3.12 (define @t294 () (= @t292 (tptp.hAPP @t36 @t47))) % 2.84/3.12 (define @t295 () (tptp.hAPP @t33 @t56)) % 2.84/3.12 (define @t296 () (tptp.c_HOL_Oord__class_Oless @t104 @t102 @t1)) % 2.84/3.12 (define @t297 () (not @t296)) % 2.84/3.12 (define @t298 () (tptp.c_HOL_Oord__class_Oless @t103 @t105 @t1)) % 2.84/3.12 (define @t299 () (not (= (tptp.hAPP (tptp.hAPP @t5 @t12) @t14) @t51))) % 2.84/3.12 (define @t300 () (= @t190 @t168)) % 2.84/3.12 (define @t301 () (tptp.c_HOL_Ominus__class_Ominus @t241 @t56 @t10)) % 2.84/3.12 (define @t302 () (tptp.hAPP @t30 @t88)) % 2.84/3.12 (define @t303 () (@list @t81 @t4 @t2 @t1 @t63 @t20)) % 2.84/3.12 (define @t304 () (tptp.c_Set_Oimage @t81 @t237 @t63 @t1)) % 2.84/3.12 (define @t305 () (tptp.c_Set_Ovimage @t81 @t12 @t63 @t1)) % 2.84/3.12 (define @t306 () (tptp.c_Set_Oimage @t81 @t305 @t63 @t1)) % 2.84/3.12 (define @t307 () (tptp.hAPP (tptp.hAPP @t5 @t23) @t27)) % 2.84/3.12 (define @t308 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t291 @t1)) % 2.84/3.12 (define @t309 () (@list @t4 @t1)) % 2.84/3.12 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t4 @t4 @t1)) % 2.84/3.12 (define @t311 () (not @t310)) % 2.84/3.12 (define @t312 () (not (tptp.class_Orderings_Olinorder @t1))) % 2.84/3.12 (define @t313 () (tptp.c_HOL_Oord__class_Oless @t102 @t104 @t1)) % 2.84/3.12 (define @t314 () (not @t313)) % 2.84/3.12 (define @t315 () (= @t117 @t58)) % 2.84/3.12 (define @t316 () (= @t104 @t102)) % 2.84/3.12 (define @t317 () (@list @t12 @t1 @t14)) % 2.84/3.12 (define @t318 () (not @t171)) % 2.84/3.12 (define @t319 () (not @t173)) % 2.84/3.12 (define @t320 () (tptp.c_lessequals @t115 @t114 @t1)) % 2.84/3.12 (define @t321 () (not @t320)) % 2.84/3.12 (define @t322 () (@list @t1 @t104 @t102 @t115 @t114)) % 2.84/3.12 (define @t323 () (@var "V_xo" $$unsorted)) % 2.84/3.12 (define @t324 () (tptp.c_Option_Oset @t323 @t1)) % 2.84/3.12 (define @t325 () (tptp.c_in @t115 @t18 @t1)) % 2.84/3.12 (define @t326 () (@list @t115 @t12 @t14 @t1)) % 2.84/3.12 (define @t327 () (@list @t115 @t14 @t1 @t12)) % 2.84/3.12 (define @t328 () (tptp.c_in @t115 @t88 @t1)) % 2.84/3.12 (define @t329 () (not @t328)) % 2.84/3.12 (define @t330 () (@list @t115 @t12 @t1 @t14)) % 2.84/3.12 (define @t331 () (tptp.c_in @t115 @t74 @t1)) % 2.84/3.12 (define @t332 () (@list @t115 @t12 @t1)) % 2.84/3.12 (define @t333 () (not @t204)) % 2.84/3.12 (define @t334 () (not @t143)) % 2.84/3.12 (define @t335 () (not (tptp.c_in @t2 @t12 @t1))) % 2.84/3.12 (define @t336 () (@list @t81 @t4 @t2 @t12 @t1 @t63)) % 2.84/3.12 (define @t337 () (not (tptp.c_in @t209 @t12 @t1))) % 2.84/3.12 (define @t338 () (tptp.hBOOL (tptp.hAPP @t139 @t104))) % 2.84/3.12 (define @t339 () (tptp.c_in @t104 @t140 @t1)) % 2.84/3.12 (define @t340 () (tptp.c_in @t4 @t12 @t63)) % 2.84/3.12 (define @t341 () (not @t340)) % 2.84/3.12 (define @t342 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 @t14 @t63 @t10)) % 2.84/3.12 (define @t343 () (tptp.c_in @t104 @t12 @t1)) % 2.84/3.12 (define @t344 () (not @t343)) % 2.84/3.12 (define @t345 () (tptp.hAPP @t14 @t104)) % 2.84/3.12 (define @t346 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 @t14 @t1 @t83)) % 2.84/3.12 (define @t347 () (tptp.hAPP @t81 @t104)) % 2.84/3.12 (define @t348 () (tptp.c_in @t347 @t14 @t63)) % 2.84/3.12 (define @t349 () (tptp.c_in @t104 @t144 @t1)) % 2.84/3.12 (define @t350 () (tptp.c_Set_Ovimage @t81 @t14 @t63 @t1)) % 2.84/3.12 (define @t351 () (@list @t81 @t104 @t14 @t63 @t1)) % 2.84/3.12 (define @t352 () (tptp.hAPP @t252 @t12)) % 2.84/3.12 (define @t353 () (tptp.hAPP @t251 @t12)) % 2.84/3.12 (define @t354 () (tptp.hBOOL (tptp.hAPP @t346 @t102))) % 2.84/3.12 (define @t355 () (tptp.c_lessequals @t4 @t2 @t1)) % 2.84/3.12 (define @t356 () (not @t355)) % 2.84/3.12 (define @t357 () (not (tptp.c_lessequals @t102 @t104 @t1))) % 2.84/3.12 (define @t358 () (tptp.c_lessequals @t205 @t206 @t1)) % 2.84/3.12 (define @t359 () (tptp.c_lessequals @t2 @t4 @t1)) % 2.84/3.12 (define @t360 () (not (= @t7 @t207))) % 2.84/3.12 (define @t361 () (@list @t1 @t4 @t2 @t206 @t205)) % 2.84/3.12 (define @t362 () (not @t359)) % 2.84/3.12 (define @t363 () (tptp.c_lessequals @t2 @t20 @t1)) % 2.84/3.12 (define @t364 () (not @t363)) % 2.84/3.12 (define @t365 () (not (tptp.c_lessequals @t20 @t2 @t1))) % 2.84/3.12 (define @t366 () (tptp.c_lessequals @t129 @t4 @t1)) % 2.84/3.12 (define @t367 () (not @t366)) % 2.84/3.12 (define @t368 () (tptp.c_lessequals @t104 @t4 @t1)) % 2.84/3.12 (define @t369 () (tptp.c_lessequals @t102 @t4 @t1)) % 2.84/3.12 (define @t370 () (tptp.c_lessequals @t4 @t104 @t1)) % 2.84/3.12 (define @t371 () (not @t370)) % 2.84/3.12 (define @t372 () (tptp.c_lessequals @t4 @t129 @t1)) % 2.84/3.12 (define @t373 () (tptp.c_lessequals @t4 @t102 @t1)) % 2.84/3.12 (define @t374 () (not @t373)) % 2.84/3.12 (define @t375 () (tptp.c_lessequals @t23 @t20 @t1)) % 2.84/3.12 (define @t376 () (not @t375)) % 2.84/3.12 (define @t377 () (tptp.c_lessequals @t4 @t20 @t1)) % 2.84/3.12 (define @t378 () (@var "V_X" $$unsorted)) % 2.84/3.12 (define @t379 () (tptp.hAPP @t81 @t378)) % 2.84/3.12 (define @t380 () (tptp.c_lessequals @t38 @t4 @t1)) % 2.84/3.12 (define @t381 () (tptp.c_lessequals @t38 @t2 @t1)) % 2.84/3.12 (define @t382 () (tptp.c_lessequals @t4 @t108 @t1)) % 2.84/3.12 (define @t383 () (not @t377)) % 2.84/3.12 (define @t384 () (tptp.c_lessequals @t4 @t291 @t1)) % 2.84/3.12 (define @t385 () (= @t23 @t2)) % 2.84/3.12 (define @t386 () (tptp.c_lessequals @t103 @t105 @t1)) % 2.84/3.12 (define @t387 () (tptp.c_lessequals @t4 @t4 @t1)) % 2.84/3.12 (define @t388 () (@list @t1 @t2 @t4)) % 2.84/3.12 (define @t389 () (= @t38 @t4)) % 2.84/3.12 (define @t390 () (not @t368)) % 2.84/3.12 (define @t391 () (not @t369)) % 2.84/3.12 (define @t392 () (@list @t1 @t104 @t102 @t4)) % 2.84/3.12 (define @t393 () (tptp.c_lessequals @t4 @t23 @t1)) % 2.84/3.12 (define @t394 () (tptp.c_lessequals @t2 @t23 @t1)) % 2.84/3.12 (define @t395 () (tptp.c_lessequals @t20 @t4 @t1)) % 2.84/3.12 (define @t396 () (not @t382)) % 2.84/3.12 (define @t397 () (tptp.c_lessequals @t108 @t4 @t1)) % 2.84/3.12 (define @t398 () (not @t384)) % 2.84/3.12 (define @t399 () (tptp.c_lessequals @t104 @t103 @t1)) % 2.84/3.12 (define @t400 () (tptp.c_lessequals @t102 @t105 @t1)) % 2.84/3.12 (define @t401 () (tptp.c_lessequals @t105 @t102 @t1)) % 2.84/3.12 (define @t402 () (tptp.c_lessequals @t103 @t104 @t1)) % 2.84/3.12 (define @t403 () (tptp.c_in @t115 @t12 @t63)) % 2.84/3.12 (define @t404 () (tptp.c_COMBK @t115 @t63 @t1)) % 2.84/3.12 (define @t405 () (tptp.c_Set_Ovimage @t404 @t12 @t1 @t63)) % 2.84/3.12 (define @t406 () (@list @t115 @t63 @t1 @t12)) % 2.84/3.12 (define @t407 () (tptp.c_in @t347 @t87 @t63)) % 2.84/3.12 (define @t408 () (@list @t81 @t104 @t12 @t1 @t63)) % 2.84/3.12 (define @t409 () (@var "V_t" $$unsorted)) % 2.84/3.12 (define @t410 () (@var "V_s" $$unsorted)) % 2.84/3.12 (define @t411 () (tptp.hAPP @t147 @t410)) % 2.84/3.12 (define @t412 () (@var "V_u" $$unsorted)) % 2.84/3.12 (define @t413 () (not (tptp.c_Map_Omap__le @t81 @t167 @t1 @t63))) % 2.84/3.12 (define @t414 () (tptp.c_HOL_Oord__class_Oless @t108 @t4 @t1)) % 2.84/3.12 (define @t415 () (@list @t81 @t4 @t63 @t1)) % 2.84/3.12 (define @t416 () (tptp.c_Fun_Ofun__upd @t81 @t4 @t2 @t63 @t1)) % 2.84/3.12 (define @t417 () (@var "T_aa" $$unsorted)) % 2.84/3.12 (define @t418 () (@var "V_fun1_H" $$unsorted)) % 2.84/3.12 (define @t419 () (@var "V_fun1" $$unsorted)) % 2.84/3.12 (define @t420 () (@var "V_fun2_H" $$unsorted)) % 2.84/3.12 (define @t421 () (@var "V_com_H" $$unsorted)) % 2.84/3.12 (define @t422 () (@var "V_fun2" $$unsorted)) % 2.84/3.12 (define @t423 () (@var "V_com" $$unsorted)) % 2.84/3.12 (define @t424 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t419 @t423 @t422 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t418 @t421 @t420 @t1)))) % 2.84/3.12 (define @t425 () (@list @t419 @t423 @t422 @t1 @t418 @t421 @t420)) % 2.84/3.12 (define @t426 () (tptp.c_Finite__Set_Ofinite @t74 @t1)) % 2.84/3.12 (define @t427 () (= @t68 @t61)) % 2.84/3.12 (define @t428 () (not @t67)) % 2.84/3.12 (define @t429 () (@list @t65 @t64 @t63 @t1 @t62 @t4)) % 2.84/3.12 (define @t430 () (@list @t12 @t1 @t14 @t11)) % 2.84/3.12 (define @t431 () (tptp.c_HOL_Ouminus__class_Ouminus @t58 @t10)) % 2.84/3.12 (define @t432 () (= (tptp.hAPP @t6 @t38) @t38)) % 2.84/3.12 (define @t433 () (not @t238)) % 2.84/3.12 (define @t434 () (tptp.hBOOL (tptp.hAPP @t82 @t4))) % 2.84/3.12 (define @t435 () (tptp.hBOOL (tptp.hAPP @t12 @t157))) % 2.84/3.12 (define @t436 () (tptp.c_fequal @t1)) % 2.84/3.12 (define @t437 () (tptp.hAPP @t436 @t4)) % 2.84/3.12 (define @t438 () (= (tptp.c_Finite__Set_Ocard @t87 @t63) @t97)) % 2.84/3.12 (define @t439 () (= @t20 @t4)) % 2.84/3.12 (define @t440 () (tptp.hAPP @t81 @t20)) % 2.84/3.12 (define @t441 () (tptp.c_HOL_Oord__class_Oless @t206 @t205 @t1)) % 2.84/3.12 (define @t442 () (tptp.c_Set_Oinsert @t4 @t14 @t1)) % 2.84/3.12 (define @t443 () (tptp.c_HOL_Oord__class_Oless @t12 @t442 @t10)) % 2.84/3.12 (define @t444 () (not @t443)) % 2.84/3.12 (define @t445 () (tptp.c_in @t4 @t14 @t1)) % 2.84/3.12 (define @t446 () (tptp.c_Set_Oinsert @t4 @t58 @t1)) % 2.84/3.12 (define @t447 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t446 @t10)) % 2.84/3.12 (define @t448 () (tptp.c_HOL_Oord__class_Oless @t447 @t14 @t10)) % 2.84/3.12 (define @t449 () (not @t448)) % 2.84/3.12 (define @t450 () (@list @t12 @t4 @t14 @t1)) % 2.84/3.12 (define @t451 () (tptp.c_lessequals @t87 @t14 @t83)) % 2.84/3.12 (define @t452 () (tptp.c_Finite__Set_Ofinite @t14 @t63)) % 2.84/3.12 (define @t453 () (@var "V_i" $$unsorted)) % 2.84/3.12 (define @t454 () (@list @t1 @t12 @t4)) % 2.84/3.12 (define @t455 () (@list @t1 @t4 @t12)) % 2.84/3.12 (define @t456 () (= @t152 @t58)) % 2.84/3.12 (define @t457 () (not @t445)) % 2.84/3.12 (define @t458 () (@list @t4 @t14 @t1 @t12)) % 2.84/3.12 (define @t459 () (tptp.c_Finite__Set_Ofold1 @t5 @t12 @t1)) % 2.84/3.12 (define @t460 () (= @t58 @t117)) % 2.84/3.12 (define @t461 () (tptp.c_Set_Oinsert @t4 @t12 @t1)) % 2.84/3.12 (define @t462 () (tptp.c_HOL_Ominus__class_Ominus @t461 @t14 @t10)) % 2.84/3.12 (define @t463 () (@list @t4 @t12 @t1 @t14)) % 2.84/3.12 (define @t464 () (tptp.c_in @t104 @t11 @t1)) % 2.84/3.12 (define @t465 () (tptp.c_Set_Oinsert @t104 @t14 @t1)) % 2.84/3.12 (define @t466 () (tptp.hAPP (tptp.hAPP @t30 @t465) @t11)) % 2.84/3.12 (define @t467 () (@list @t1 @t104 @t14 @t11)) % 2.84/3.12 (define @t468 () (tptp.hAPP @t33 @t465)) % 2.84/3.12 (define @t469 () (@list @t1 @t12 @t104 @t14)) % 2.84/3.12 (define @t470 () (tptp.c_Set_Oinsert @t104 @t34 @t1)) % 2.84/3.12 (define @t471 () (not (tptp.c_in @t104 @t378 @t1))) % 2.84/3.12 (define @t472 () (@list @t12 @t4 @t1)) % 2.84/3.12 (define @t473 () (tptp.c_lessequals @t117 @t116 @t10)) % 2.84/3.12 (define @t474 () (not @t473)) % 2.84/3.12 (define @t475 () (not (tptp.c_lessequals @t234 @t12 @t10))) % 2.84/3.12 (define @t476 () (not (tptp.hBOOL (tptp.hAPP @t139 @t58)))) % 2.84/3.12 (define @t477 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 @t12 @t139 @t1)) % 2.84/3.12 (define @t478 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 @t12 @t139 @t1)) % 2.84/3.12 (define @t479 () (tptp.hBOOL (tptp.hAPP @t139 @t234))) % 2.84/3.12 (define @t480 () (@list @t139 @t234 @t12 @t1)) % 2.84/3.12 (define @t481 () (tptp.c_Set_Oimage @t81 @t12 @t63 @t1)) % 2.84/3.12 (define @t482 () (tptp.c_Set_Oimage @t416 @t12 @t63 @t1)) % 2.84/3.12 (define @t483 () (@list @t81 @t4 @t2 @t63 @t1 @t12)) % 2.84/3.12 (define @t484 () (tptp.c_Fun_Oinj__on @t81 @t256 @t1 @t63)) % 2.84/3.12 (define @t485 () (not @t484)) % 2.84/3.12 (define @t486 () (tptp.c_Set_Oinsert @t104 @t58 @t1)) % 2.84/3.12 (define @t487 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t486 @t10)) % 2.84/3.12 (define @t488 () (tptp.c_in @t347 (tptp.c_Set_Oimage @t81 @t487 @t1 @t63) @t63)) % 2.84/3.12 (define @t489 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t14 @t1) @t50))) % 2.84/3.12 (define @t490 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 2.84/3.12 (define @t491 () (@var "V_G" $$unsorted)) % 2.84/3.12 (define @t492 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t234 @t491 @t10) @t1)) % 2.84/3.12 (define @t493 () (not @t492)) % 2.84/3.12 (define @t494 () (tptp.c_Finite__Set_Ofinite @t491 @t1)) % 2.84/3.12 (define @t495 () (not @t494)) % 2.84/3.12 (define @t496 () (tptp.c_Finite__Set_Ofinite @t88 @t1)) % 2.84/3.12 (define @t497 () (not @t496)) % 2.84/3.12 (define @t498 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t30 @t234) @t491) @t1)) % 2.84/3.12 (define @t499 () (@list @t1 @t234 @t491)) % 2.84/3.12 (define @t500 () (not (= @t18 @t58))) % 2.84/3.12 (define @t501 () (tptp.c_Set_Oinsert @t104 @t14 @t63)) % 2.84/3.12 (define @t502 () (tptp.c_Set_Oinsert @t102 @t58 @t1)) % 2.84/3.12 (define @t503 () (tptp.c_Set_Oinsert @t104 @t502 @t1)) % 2.84/3.12 (define @t504 () (tptp.c_lessequals @t12 @t113 @t10)) % 2.84/3.12 (define @t505 () (tptp.hAPP @t248 @t104)) % 2.84/3.12 (define @t506 () (tptp.hAPP @t247 @t104)) % 2.84/3.12 (define @t507 () (@list @t12 @t104 @t14 @t1)) % 2.84/3.12 (define @t508 () (tptp.tc_fun @t1 @t63)) % 2.84/3.12 (define @t509 () (tptp.c_HOL_Oord__class_Oless @t81 @t167 @t508)) % 2.84/3.12 (define @t510 () (not @t509)) % 2.84/3.12 (define @t511 () (tptp.c_lessequals @t81 @t167 @t508)) % 2.84/3.12 (define @t512 () (not (tptp.class_HOL_Oord @t63))) % 2.84/3.12 (define @t513 () (@list @t63 @t81 @t167 @t1)) % 2.84/3.12 (define @t514 () (not @t511)) % 2.84/3.12 (define @t515 () (tptp.c_lessequals @t167 @t81 @t508)) % 2.84/3.12 (define @t516 () (tptp.c_lessequals @t14 @t11 @t10)) % 2.84/3.12 (define @t517 () (not @t516)) % 2.84/3.12 (define @t518 () (tptp.c_lessequals @t12 @t11 @t10)) % 2.84/3.12 (define @t519 () (not @t518)) % 2.84/3.12 (define @t520 () (@var "V_D" $$unsorted)) % 2.84/3.12 (define @t521 () (not (tptp.c_lessequals @t14 @t520 @t10))) % 2.84/3.12 (define @t522 () (tptp.c_lessequals @t18 @t11 @t10)) % 2.84/3.12 (define @t523 () (not @t522)) % 2.84/3.12 (define @t524 () (tptp.c_lessequals @t11 @t14 @t10)) % 2.84/3.12 (define @t525 () (tptp.c_lessequals @t11 @t34 @t10)) % 2.84/3.12 (define @t526 () (@list @t12 @t14 @t1 @t11 @t520)) % 2.84/3.12 (define @t527 () (= @t18 @t14)) % 2.84/3.12 (define @t528 () (tptp.c_lessequals @t14 @t12 @t10)) % 2.84/3.12 (define @t529 () (not @t528)) % 2.84/3.12 (define @t530 () (tptp.c_lessequals @t74 @t113 @t10)) % 2.84/3.12 (define @t531 () (@list @t81 @t12 @t63 @t1 @t14)) % 2.84/3.12 (define @t532 () (not @t525)) % 2.84/3.13 (define @t533 () (not (tptp.c_Fun_Oinj__on @t81 @t11 @t1 @t63))) % 2.84/3.13 (define @t534 () (tptp.c_lessequals @t87 @t86 @t83)) % 2.84/3.13 (define @t535 () (tptp.c_Set_Oimage @t81 @t14 @t63 @t1)) % 2.84/3.13 (define @t536 () (tptp.c_Map_Odom @t81 @t63 @t1)) % 2.84/3.13 (define @t537 () (@var "V_a_H" $$unsorted)) % 2.84/3.13 (define @t538 () (tptp.c_Option_Ooption_OSome @t537 @t1)) % 2.84/3.13 (define @t539 () (tptp.c_Option_Ooption_OSome @t2 @t1)) % 2.84/3.13 (define @t540 () (@var "V_xx" $$unsorted)) % 2.84/3.13 (define @t541 () (tptp.c_Option_Ooption_OSome @t540 @t1)) % 2.84/3.13 (define @t542 () (@var "V_ts" $$unsorted)) % 2.84/3.13 (define @t543 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t542 @t1)) % 2.84/3.13 (define @t544 () (not @t543)) % 2.84/3.13 (define @t545 () (@list @t491 @t542 @t1)) % 2.84/3.13 (define @t546 () (@var "T_c" $$unsorted)) % 2.84/3.13 (define @t547 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t465 @t10)) % 2.84/3.13 (define @t548 () (tptp.c_Finite__Set_Ofinite @t547 @t1)) % 2.84/3.13 (define @t549 () (@list @t104 @t12 @t1)) % 2.84/3.13 (define @t550 () (tptp.c_Set_Oinsert @t104 @t487 @t1)) % 2.84/3.13 (define @t551 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t446 @t1)) % 2.84/3.13 (define @t552 () (tptp.c_COMBK @t115 @t1 @t63)) % 2.84/3.13 (define @t553 () (not (tptp.c_lessequals @t14 @t481 @t10))) % 2.84/3.13 (define @t554 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t12 @t14 @t81 @t63 @t1)) % 2.84/3.13 (define @t555 () (@list @t14 @t81 @t12 @t63 @t1)) % 2.84/3.13 (define @t556 () (@list @t12 @t14 @t81 @t63 @t1)) % 2.84/3.13 (define @t557 () (tptp.hAPP @t65 @t104)) % 2.84/3.13 (define @t558 () (not (= @t557 (tptp.c_Option_Ooption_OSome @t102 @t1)))) % 2.84/3.13 (define @t559 () (@list @t65 @t104 @t102 @t1 @t63)) % 2.84/3.13 (define @t560 () (tptp.c_Option_Oset @t61 @t1)) % 2.84/3.13 (define @t561 () (@var "V_l2" $$unsorted)) % 2.84/3.13 (define @t562 () (tptp.c_in @t65 (tptp.c_Map_Odom @t561 @t1 @t63) @t1)) % 2.84/3.13 (define @t563 () (@var "V_l1" $$unsorted)) % 2.84/3.13 (define @t564 () (tptp.hAPP (tptp.c_Map_Omap__add @t563 @t561 @t1 @t63) @t65)) % 2.84/3.13 (define @t565 () (= @t564 (tptp.hAPP @t561 @t65))) % 2.84/3.13 (define @t566 () (@list @t563 @t561 @t1 @t63 @t65)) % 2.84/3.13 (define @t567 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 2.84/3.13 (define @t568 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 2.84/3.13 (define @t569 () (tptp.c_in @t104 @t268 @t1)) % 2.84/3.13 (define @t570 () (not @t569)) % 2.84/3.13 (define @t571 () (= @t557 (tptp.c_Option_Ooption_ONone @t63))) % 2.84/3.13 (define @t572 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 2.84/3.13 (define @t573 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 2.84/3.13 (define @t574 () (tptp.tc_fun @t573 tptp.tc_bool)) % 2.84/3.13 (define @t575 () (tptp.c_Orderings_Obot__class_Obot @t574)) % 2.84/3.13 (define @t576 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t491)) % 2.84/3.13 (define @t577 () (not (tptp.c_Com_OWT @t115))) % 2.84/3.13 (define @t578 () (tptp.c_Set_Oinsert @t148 @t575 @t573)) % 2.84/3.13 (define @t579 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t578 tptp.tc_Com_Ostate)) % 2.84/3.13 (define @t580 () (@list @t491 @t115)) % 2.84/3.13 (define @t581 () (@var "V_l" $$unsorted)) % 2.84/3.13 (define @t582 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 2.84/3.13 (define @t583 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t139)) % 2.84/3.13 (define @t584 () (tptp.hAPP tptp.c_Com_Obody @t139)) % 2.84/3.13 (define @t585 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t575 @t578 tptp.tc_Com_Ostate)) % 2.84/3.13 (define @t586 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t139 @t115 @t215 tptp.tc_Com_Ostate) @t575 @t573)) % 2.84/3.13 (define @t587 () (tptp.c_Finite__Set_Olinorder__class_OMin @t12 @t1)) % 2.84/3.13 (define @t588 () (tptp.c_Finite__Set_Olinorder__class_OMax @t12 @t1)) % 2.84/3.13 (define @t589 () (@list @t4 @t12 @t1)) % 2.84/3.13 (define @t590 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t12 @t14 @t81 @t1 @t63)) % 2.84/3.13 (define @t591 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t12 @t14 @t81 @t63 @t1)) % 2.84/3.13 (define @t592 () (tptp.c_lessequals @t481 @t14 @t10)) % 2.84/3.13 (define @t593 () (tptp.c_Set_Oimage @t167 @t378 @t1 @t63)) % 2.84/3.13 (define @t594 () (tptp.c_lessequals @t447 @t14 @t10)) % 2.84/3.13 (define @t595 () (not @t594)) % 2.84/3.13 (define @t596 () (tptp.c_lessequals @t12 @t442 @t10)) % 2.84/3.13 (define @t597 () (= @t12 @t210)) % 2.84/3.13 (define @t598 () (tptp.c_Set_Oimage @t81 @t12 @t1 @t1)) % 2.84/3.13 (define @t599 () (tptp.c_Fun_Oinj__on @t81 @t12 @t1 @t1)) % 2.84/3.13 (define @t600 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t12 @t14 @t81 @t63 @t1)) % 2.84/3.13 (define @t601 () (not tptp.c_Com_OWT__bodies)) % 2.84/3.13 (define @t602 () (@var "V_s1" $$unsorted)) % 2.84/3.13 (define @t603 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 2.84/3.13 (define @t604 () (@var "V_s0" $$unsorted)) % 2.84/3.13 (define @t605 () (@var "V_pn" $$unsorted)) % 2.84/3.13 (define @t606 () (tptp.hAPP tptp.c_Com_Obody @t605)) % 2.84/3.13 (define @t607 () (tptp.hAPP @t603 @t606)) % 2.84/3.13 (define @t608 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t605)) % 2.84/3.13 (define @t609 () (@var "V_N" $$unsorted)) % 2.84/3.13 (define @t610 () (not (tptp.c_lessequals @t93 @t609 @t10))) % 2.84/3.13 (define @t611 () (= @t93 @t58)) % 2.84/3.13 (define @t612 () (not (tptp.c_Finite__Set_Ofinite @t609 @t1))) % 2.84/3.13 (define @t613 () (not @t596)) % 2.84/3.13 (define @t614 () (@var "V_Procs" $$unsorted)) % 2.84/3.13 (define @t615 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB @t603 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom @t573 tptp.tc_Com_Opname)) % 2.84/3.13 (define @t616 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t573 tptp.tc_Com_Opname)) % 2.84/3.13 (define @t617 () (tptp.c_Set_Oimage @t616 @t614 tptp.tc_Com_Opname @t573)) % 0.53/3.13 (define @t618 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.53/3.13 (define @t619 () (tptp.tc_fun @t618 tptp.tc_bool)) % 0.53/3.13 (define @t620 () (tptp.c_Orderings_Obot__class_Obot @t619)) % 0.53/3.13 (define @t621 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t139 @t607 @t215 @t1) @t620 @t618)) % 0.53/3.13 (define @t622 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t139 @t608 @t215 @t1)) % 0.53/3.13 (define @t623 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 (tptp.c_Set_Oinsert @t622 @t620 @t618) @t1)) % 0.53/3.13 (define @t624 () (@list @t491 @t139 @t605 @t215 @t1)) % 0.53/3.13 (define @t625 () (@list @t4 @t12 @t63 @t81 @t1)) % 0.53/3.13 (define @t626 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 (tptp.c_Set_Oinsert @t409 @t620 @t618) @t1)) % 0.53/3.13 (define @t627 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 (tptp.c_Set_Oinsert @t409 @t542 @t618) @t1)) % 0.53/3.13 (define @t628 () (not @t627)) % 0.53/3.13 (define @t629 () (tptp.c_in @t104 (tptp.c_Set_Oinsert @t102 @t12 @t1) @t1)) % 0.53/3.13 (define @t630 () (tptp.c_Set_Oinsert @t102 @t14 @t1)) % 0.53/3.13 (define @t631 () (@var "V_ts_H" $$unsorted)) % 0.53/3.13 (define @t632 () (not (tptp.c_lessequals @t139 @t215 @t10))) % 0.53/3.13 (define @t633 () (tptp.hBOOL (tptp.hAPP @t215 @t4))) % 0.53/3.13 (define @t634 () (@list @t215 @t4 @t139 @t1)) % 0.53/3.13 (define @t635 () (@var "V_G_H" $$unsorted)) % 0.53/3.13 (define @t636 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t635 @t542 @t1))) % 0.53/3.13 (define @t637 () (@list @t491 @t542 @t1 @t635)) % 0.53/3.13 (define @t638 () (tptp.c_lessequals @t461 @t14 @t10)) % 0.53/3.13 (define @t639 () (not (tptp.c_in @t4 @t58 @t1))) % 0.53/3.13 (define @t640 () (@list @t139 @t4 @t1)) % 0.53/3.13 (define @t641 () (= @t102 @t114)) % 0.53/3.13 (define @t642 () (= @t102 @t115)) % 0.53/3.13 (define @t643 () (not (= @t503 (tptp.c_Set_Oinsert @t115 (tptp.c_Set_Oinsert @t114 @t58 @t1) @t1)))) % 0.53/3.13 (define @t644 () (@list @t104 @t102 @t1 @t115 @t114)) % 0.53/3.13 (define @t645 () (= @t104 @t114)) % 0.53/3.13 (define @t646 () (tptp.c_Finite__Set_Ofinite @t256 @t1)) % 0.53/3.13 (define @t647 () (tptp.c_Set_Oinsert @t2 @t12 @t1)) % 0.53/3.13 (define @t648 () (tptp.hBOOL (tptp.hAPP @t647 @t4))) % 0.53/3.13 (define @t649 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t608)) % 0.53/3.13 (define @t650 () (not @t638)) % 0.53/3.13 (define @t651 () (@var "V_S" $$unsorted)) % 0.53/3.13 (define @t652 () (tptp.hBOOL (tptp.hAPP @t651 @t4))) % 0.53/3.13 (define @t653 () (tptp.c_in @t4 @t651 @t1)) % 0.53/3.13 (define @t654 () (@var "V_R" $$unsorted)) % 0.53/3.13 (define @t655 () (tptp.c_Set_Oimage @t81 @t210 @t63 @t1)) % 0.53/3.13 (define @t656 () (@list @t81 @t4 @t12 @t1 @t63)) % 0.53/3.13 (define @t657 () (@var "V_pname_H" $$unsorted)) % 0.53/3.13 (define @t658 () (@var "V_pname" $$unsorted)) % 0.53/3.13 (define @t659 () (forall (@list @t4 @t12 @t417 @t81 @t1) (or (not (tptp.c_in @t4 @t12 @t417)) (tptp.c_in @t157 (tptp.c_Set_Oimage @t81 @t12 @t417 @t1) @t1)))) % 0.53/3.13 (define @t660 () (tptp.c_in @t157 @t481 @t1)) % 0.53/3.13 (define @t661 () (tptp.c_Set_Oimage @t616 @t582 tptp.tc_Com_Opname @t573)) % 0.53/3.13 (define @t662 () (= (tptp.hAPP tptp.c_Com_Obody tptp.v_pna) (tptp.c_Option_Ooption_OSome tptp.v_ya tptp.tc_Com_Ocom))) % 0.53/3.13 (define @t663 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pna)) % 0.53/3.13 (define @t664 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t663)) % 0.53/3.13 (define @t665 () (tptp.c_lessequals (tptp.c_Set_Oinsert @t664 @t575 @t573) @t661 @t574)) % 0.53/3.13 (define @t666 () (@var "T_1" $$unsorted)) % 0.53/3.13 (define @t667 () (@var "T_2" $$unsorted)) % 0.53/3.13 (define @t668 () (tptp.tc_fun @t667 @t666)) % 0.53/3.13 (define @t669 () (@list @t667 @t666)) % 0.53/3.13 (define @t670 () (not (tptp.class_Lattices_Olattice @t666))) % 0.53/3.13 (define @t671 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t666))) % 0.53/3.13 (define @t672 () (@var "V_Y" $$unsorted)) % 0.53/3.13 (define @t673 () (tptp.c_in tptp.v_pna @t582 tptp.tc_Com_Opname)) % 0.53/3.13 (define @t674 () (not @t662)) % 0.53/3.13 (define @t675 () (or @t674 @t673)) % 0.53/3.13 (define @t676 () (tptp.c_Set_Oimage tptp.c_Com_Ocom_OBODY @t582 tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.53/3.13 (define @t677 () (not (tptp.c_in @t664 @t661 @t573))) % 0.53/3.13 (define @t678 () (tptp.c_lessequals @t575 @t661 @t574)) % 0.53/3.13 (define @t679 () (not @t678)) % 0.53/3.13 (define @t680 () (or @t665 @t679 @t677)) % 0.53/3.13 (define @t681 () (tptp.c_in @t664 (tptp.c_Set_Oimage tptp.c_Hoare__Mirabelle_OMGT @t676 tptp.tc_Com_Ocom @t573) @t573)) % 0.53/3.13 (define @t682 () (tptp.c_in @t663 @t676 tptp.tc_Com_Ocom)) % 0.53/3.13 (define @t683 () (not @t682)) % 0.53/3.13 (define @t684 () (or @t683 @t681)) % 0.53/3.13 (define @t685 () (@list true false)) % 0.53/3.13 (define @t686 () (not @t673)) % 0.53/3.13 (define @t687 () (or @t686 @t682)) % 0.53/3.13 (define @t688 () (not @t687)) % 0.53/3.13 (assume @p1 (forall @t9 (or @t8 (= @t7 (tptp.hAPP @t6 @t3))))) % 0.53/3.13 (assume @p2 (forall @t17 (= @t16 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t13 @t10)))) % 0.53/3.13 (assume @p3 (forall @t19 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t11 @t10) @t16))) % 0.53/3.13 (assume @p4 (forall @t26 (or @t25 @t24))) % 0.53/3.13 (assume @p5 (forall @t26 (or @t25 @t28))) % 0.53/3.13 (assume @p6 (forall @t26 (or @t29 @t28))) % 0.53/3.13 (assume @p7 (forall @t26 (or @t29 @t24))) % 0.53/3.13 (assume @p8 (forall @t35 (= @t34 @t32))) % 0.53/3.13 (assume @p9 (forall @t9 (or @t40 @t39))) % 0.53/3.13 (assume @p10 (forall @t9 (or @t29 @t39))) % 0.53/3.13 (assume @p11 (forall @t45 (or (= @t44 @t14) @t42))) % 0.53/3.13 (assume @p12 (forall @t26 (or @t29 (tptp.c_lessequals @t48 @t46 @t1)))) % 0.53/3.13 (assume @p13 (forall @t9 (or @t8 (not (= @t23 @t51)) (not (= @t38 @t50)) (= @t49 @t2)))) % 0.53/3.13 (assume @p14 (forall @t57 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t56 @t10) @t55 @t10) (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t53 @t15)) @t52)))) % 0.53/3.13 (assume @p15 (forall @t60 (= (tptp.c_Option_Oset @t59 @t1) @t58))) % 0.53/3.13 (assume @p16 (forall (@list @t65 @t62 @t4 @t1 @t64 @t63) (or (not @t72) @t70 @t67))) % 0.53/3.13 (assume @p17 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t12 @t10) @t73))) % 0.53/3.13 (assume @p18 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t74 @t10) @t73))) % 0.53/3.13 (assume @p19 (forall @t76 (or @t8 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t4 @t1) @t51)))) % 0.53/3.13 (assume @p20 (forall @t76 (or @t8 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t49 @t1) @t51)))) % 0.53/3.13 (assume @p21 (forall @t80 (or @t79 @t77))) % 0.53/3.13 (assume @p22 (forall @t80 (or @t79 @t69))) % 0.53/3.13 (assume @p23 (forall @t84 (= (tptp.c_Set_Ovimage @t81 (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t83) @t1 @t63) (tptp.c_HOL_Ouminus__class_Ouminus @t82 @t10)))) % 0.53/3.13 (assume @p24 (forall @t91 (or @t90 @t85))) % 0.53/3.13 (assume @p25 (forall (@list @t63 @t12 @t93 @t1) (or @t94 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 (tptp.c_COMBK @t93 @t63 @t1) @t1 @t63) @t93) @t92))) % 0.53/3.13 (assume @p26 (forall @t75 (or (not (= @t97 (tptp.c_Finite__Set_Ocard @t73 @t1))) @t96 (= @t12 @t73)))) % 0.53/3.13 (assume @p27 (forall @t99 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t12 @t10) @t98))) % 0.53/3.13 (assume @p28 (forall @t45 (= @t44 @t18))) % 0.53/3.13 (assume @p29 (forall @t19 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t11 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t101 @t100 @t10)))) % 0.53/3.13 (assume @p30 (forall @t110 (or @t109 (= @t108 (tptp.c_HOL_Ouminus__class_Ouminus @t106 @t1))))) % 0.53/3.13 (assume @p31 (forall @t45 (= @t18 @t98))) % 0.53/3.13 (assume @p32 (forall @t9 (or @t25 @t112))) % 0.53/3.13 (assume @p33 (forall @t9 (or @t29 @t112))) % 0.53/3.13 (assume @p34 (forall @t35 (= (tptp.c_HOL_Ouminus__class_Ouminus @t34 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t113 @t10)))) % 0.53/3.13 (assume @p35 (forall @t9 (or @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t38 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t3 @t1))))) % 0.53/3.13 (assume @p36 (forall @t110 (or @t109 (= (tptp.c_HOL_Ouminus__class_Ouminus @t108 @t1) @t106)))) % 0.53/3.13 (assume @p37 (forall (@list @t1 @t102 @t114 @t115 @t104) (or @t124 @t123 @t122 @t121 @t119))) % 0.53/3.13 (assume @p38 (forall @t45 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t18 @t10) @t18))) % 0.53/3.13 (assume @p39 (forall @t9 (or @t25 @t125))) % 0.53/3.13 (assume @p40 (forall @t9 (or @t29 @t125))) % 0.53/3.13 (assume @p41 (forall @t45 (= (tptp.c_HOL_Ouminus__class_Ouminus @t18 @t10) (tptp.hAPP @t126 @t113)))) % 0.53/3.13 (assume @p42 (forall @t9 (or @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t23 @t1) (tptp.hAPP @t127 @t3))))) % 0.53/3.13 (assume @p43 (forall @t110 (or @t109 (= (tptp.c_HOL_Ouminus__class_Ouminus @t129 @t1) @t128)))) % 0.53/3.13 (assume @p44 (forall @t35 (= (tptp.hAPP @t33 @t43) @t58))) % 0.53/3.13 (assume @p45 (forall (@list @t1 @t12 @t14 @t130) (or @t138 @t136 @t135 @t92 @t134 @t132 (= (tptp.c_Finite__Set_Ofold1 @t130 @t18 @t1) (tptp.hAPP (tptp.hAPP @t130 @t131) (tptp.c_Finite__Set_Ofold1 @t130 @t14 @t1)))))) % 0.53/3.13 (assume @p46 (forall (@list @t4 @t12 @t1 @t139) (or @t143 @t142))) % 0.53/3.13 (assume @p47 (forall @t146 (= (tptp.c_Set_Ovimage @t81 @t145 @t1 @t63) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t82 @t144 @t10)))) % 0.53/3.13 (assume @p48 (forall (@list @t65 @t62 @t1 @t64 @t63) (or (not @t77) @t70 @t78))) % 0.53/3.13 (assume @p49 (forall @t149 (= @t148 (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_fequal tptp.tc_Com_Ostate) @t115 @t147 tptp.tc_Com_Ostate)))) % 0.53/3.13 (assume @p50 (forall @t45 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t113 @t10) @t34))) % 0.53/3.13 (assume @p51 (forall (@list @t14 @t4 @t1 @t12) (or @t153 @t151))) % 0.53/3.13 (assume @p52 (forall @t156 (or @t155 @t151))) % 0.53/3.13 (assume @p53 (forall @t159 (or (not (= @t158 @t81)) (= @t157 @t2)))) % 0.53/3.13 (assume @p54 (forall @t163 (or @t162 @t161))) % 0.53/3.13 (assume @p55 (forall @t165 (or @t164 @t161))) % 0.53/3.13 (assume @p56 (forall @t163 (or (tptp.c_lessequals @t144 @t12 @t10) @t166 @t85))) % 0.53/3.13 (assume @p57 (forall @t169 (tptp.c_Map_Omap__le @t81 @t168 @t1 @t63))) % 0.53/3.13 (assume @p58 (forall @t60 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t73 @t1) @t51)))) % 0.53/3.13 (assume @p59 (forall @t172 (or @t124 @t171 @t121 @t119))) % 0.53/3.13 (assume @p60 (forall @t174 (or @t124 @t173 @t121 @t119))) % 0.53/3.13 (assume @p61 (forall @t19 (or @t176 (not @t175)))) % 0.53/3.13 (assume @p62 (forall @t17 (or @t175 (not @t176)))) % 0.53/3.13 (assume @p63 (forall @t75 (= (tptp.c_HOL_Ouminus__class_Ouminus @t74 @t10) @t12))) % 0.53/3.13 (assume @p64 (forall @t179 (or @t178 (= @t177 @t104)))) % 0.53/3.13 (assume @p65 (forall @t76 (or @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t49 @t1) @t4)))) % 0.53/3.13 (assume @p66 (forall @t181 (or @t178 (= @t102 @t180)))) % 0.53/3.13 (assume @p67 (forall @t179 (or @t178 (= @t104 @t177)))) % 0.53/3.13 (assume @p68 (forall @t181 (or @t178 (= @t180 @t102)))) % 0.53/3.13 (assume @p69 (forall @t183 (or @t25 @t182 (not (tptp.c_HOL_Oord__class_Oless @t4 @t104 @t1))))) % 0.53/3.13 (assume @p70 (forall @t183 (or @t25 @t182 (not (tptp.c_HOL_Oord__class_Oless @t4 @t102 @t1))))) % 0.53/3.13 (assume @p71 (forall @t110 (or @t184 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t104 @t102 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t102 @t104 @t1))))) % 0.53/3.13 (assume @p72 (forall @t187 (= (tptp.c_Set_Ovimage @t81 @t186 @t1 @t63) (tptp.hAPP (tptp.hAPP @t30 @t82) @t144)))) % 0.53/3.13 (assume @p73 (forall (@list @t81 @t167 @t1 @t63 @t188) (or @t193 @t192 (not @t189) (not (tptp.c_Map_Omap__le @t81 @t188 @t1 @t63))))) % 0.53/3.13 (assume @p74 (forall @t197 (or @t196 @t195 (not @t194)))) % 0.53/3.13 (assume @p75 (forall @t110 (or @t196 @t194 (not @t195)))) % 0.53/3.13 (assume @p76 (forall @t197 (or @t196 @t199 (not @t198)))) % 0.53/3.13 (assume @p77 (forall @t110 (or @t196 @t198 (not @t199)))) % 0.53/3.13 (assume @p78 (forall (@list @t115 @t1 @t12 @t14) (or @t204 @t203 @t201))) % 0.53/3.13 (assume @p79 (forall @t45 (= @t88 (tptp.hAPP @t33 @t113)))) % 0.53/3.13 (assume @p80 (forall (@list @t1 @t4 @t206 @t205) (or @t184 (not (= @t208 @t207)) (= @t206 @t205)))) % 0.53/3.13 (assume @p81 (forall (@list @t1 @t209 @t2 @t4) (or @t184 (not (= (tptp.c_HOL_Ominus__class_Ominus @t209 @t2 @t1) @t208)) (= @t209 @t2)))) % 0.53/3.13 (assume @p82 (forall @t45 (= (tptp.c_HOL_Ominus__class_Ominus @t88 @t14 @t10) @t88))) % 0.53/3.13 (assume @p83 (forall @t212 (or @t211 @t161))) % 0.53/3.13 (assume @p84 (forall @t212 (or (not @t211) @t214 @t213 @t160))) % 0.53/3.13 (assume @p85 (forall (@list @t139 @t1 @t63 @t215) (= (tptp.hAPP (tptp.c_COMBK @t139 @t1 @t63) @t215) @t139))) % 0.53/3.13 (assume @p86 (forall @t217 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t216 @t10) @t12))) % 0.53/3.13 (assume @p87 (forall @t222 (or @t124 @t221 @t220 @t219))) % 0.53/3.13 (assume @p88 (forall @t227 (or @t226 @t225 @t224))) % 0.53/3.13 (assume @p89 (forall @t233 (or @t232 @t231 @t230 @t229))) % 0.53/3.13 (assume @p90 (forall @t76 (or @t25 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t4 @t1) @t4)))) % 0.53/3.13 (assume @p91 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t12 @t10) @t12))) % 0.53/3.13 (assume @p92 (forall (@list @t188 @t234 @t63 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t188 @t234 @t63 @t1) @t63) (not (tptp.c_Fun_Oinj__on @t188 @t237 @t63 @t1)) @t236))) % 0.53/3.13 (assume @p93 (forall (@list @t139 @t4 @t1 @t12) (or @t238 @t142))) % 0.53/3.13 (assume @p94 (forall @t240 (or @t239 (= (tptp.hAPP (tptp.hAPP @t5 @t21) @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 (tptp.hAPP (tptp.hAPP @t5 @t20) @t4) @t1))))) % 0.53/3.13 (assume @p95 (forall @t26 (or @t239 (= @t46 @t48)))) % 0.53/3.13 (assume @p96 (forall @t57 (= @t242 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t241 @t10)))) % 0.53/3.13 (assume @p97 (forall @t243 (= (tptp.hAPP (tptp.hAPP @t30 @t15) @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t55 @t10)))) % 0.53/3.13 (assume @p98 (forall @t35 (or @t138 (= @t88 @t12)))) % 0.53/3.13 (assume @p99 (forall @t244 (= (tptp.c_Finite__Set_Ofold1 @t81 @t12 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t81 @t12 @t1) @t1)))) % 0.53/3.13 (assume @p100 (forall (@list @t251 @t1 @t245 @t252 @t250 @t249 @t248 @t247 @t246) (or (= (tptp.hAPP @t251 @t73) @t245) @t253))) % 0.53/3.13 (assume @p101 (forall (@list @t252 @t1 @t246 @t251 @t250 @t249 @t248 @t247 @t245) (or (= (tptp.hAPP @t252 @t73) @t246) @t253))) % 0.53/3.13 (assume @p102 (forall @t76 (or @t8 (= (tptp.hAPP @t6 @t49) @t50)))) % 0.53/3.13 (assume @p103 (forall @t76 (or @t8 (= (tptp.hAPP @t127 @t4) @t50)))) % 0.53/3.13 (assume @p104 (forall @t254 (= (tptp.hAPP @t33 @t74) @t58))) % 0.53/3.13 (assume @p105 (forall @t254 (= (tptp.hAPP @t126 @t12) @t58))) % 0.53/3.13 (assume @p106 (forall @t91 (or (tptp.c_Fun_Oinj__on @t81 @t88 @t1 @t63) @t213))) % 0.53/3.13 (assume @p107 (forall @t257 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t256 @t1) (tptp.hAPP @t107 @t255))))) % 0.53/3.13 (assume @p108 (forall @t146 (= (tptp.c_Set_Ovimage @t81 @t258 @t1 @t63) (tptp.c_HOL_Ominus__class_Ominus @t82 @t144 @t10)))) % 0.53/3.13 (assume @p109 (forall @t259 (or (= (tptp.c_Set_Ovimage @t81 @t87 @t1 @t63) @t12) @t85))) % 0.53/3.13 (assume @p110 (forall (@list @t139 @t1) (= @t140 @t139))) % 0.53/3.13 (assume @p111 (forall @t260 (= (tptp.c_Set_Ovimage @t81 @t237 @t1 @t63) @t73))) % 0.53/3.13 (assume @p112 (forall @t257 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t256 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t104 @t261 @t1))))) % 0.53/3.13 (assume @p113 (forall @t76 (or @t262 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t51 @t1) @t51)))) % 0.53/3.13 (assume @p114 (forall @t76 (or @t262 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t4 @t1) @t51)))) % 0.53/3.13 (assume @p115 (forall @t263 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t14 @t10) @t73))) % 0.53/3.13 (assume @p116 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t73 @t10) @t73))) % 0.53/3.13 (assume @p117 (forall @t45 (= (tptp.c_HOL_Ouminus__class_Ouminus @t88 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t14 @t10)))) % 0.53/3.13 (assume @p118 (forall (@list @t167 @t188 @t1 @t63 @t81) (or @t189 (not @t193)))) % 0.53/3.13 (assume @p119 (forall @t264 (tptp.c_Map_Omap__le @t81 @t81 @t1 @t63))) % 0.53/3.13 (assume @p120 (forall (@list @t266 @t267 @t1 @t63 @t265) (or (tptp.c_Map_Omap__le @t266 @t267 @t1 @t63) (not (tptp.c_Map_Omap__le @t265 @t267 @t1 @t63)) (not (tptp.c_Map_Omap__le @t266 @t265 @t1 @t63))))) % 0.53/3.13 (assume @p121 (forall (@list @t65 @t64 @t1 @t63) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t65 @t64 @t1 @t63) @t1 @t63) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t64 @t1 @t63) @t268 @t10)))) % 0.53/3.13 (assume @p122 (forall @t165 (or @t270 @t161 @t269))) % 0.53/3.13 (assume @p123 (forall (@list @t4 @t209) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t271))) % 0.53/3.13 (assume @p124 (forall (@list @t12 @t62 @t272 @t1 @t63) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t12 @t62) @t273 @t83) @t273) (not (tptp.c_in @t62 @t272 @t1))))) % 0.53/3.13 (assume @p125 (forall (@list @t81 @t1 @t12 @t14 @t63) (or @t274 @t85))) % 0.53/3.13 (assume @p126 (forall @t57 (or (not @t276) @t275))) % 0.53/3.13 (assume @p127 (forall @t57 (or @t276 @t277))) % 0.53/3.13 (assume @p128 (forall @t75 (= @t74 (tptp.c_HOL_Ominus__class_Ominus @t73 @t12 @t10)))) % 0.53/3.13 (assume @p129 (forall (@list @t266 @t265 @t267 @t1 @t63) (= (tptp.c_Map_Omap__add @t266 (tptp.c_Map_Omap__add @t265 @t267 @t1 @t63) @t1 @t63) (tptp.c_Map_Omap__add @t278 @t267 @t1 @t63)))) % 0.53/3.13 (assume @p130 (forall @t283 (or (= (tptp.hAPP (tptp.hAPP @t130 @t282) @t115) @t281) @t132))) % 0.53/3.13 (assume @p131 (forall @t283 (or (= @t281 (tptp.hAPP @t279 (tptp.hAPP @t280 @t115))) @t132))) % 0.53/3.13 (assume @p132 (forall (@list @t130 @t104 @t102 @t1) (or (= @t282 (tptp.hAPP @t279 @t104)) @t132))) % 0.53/3.13 (assume @p133 (forall (@list @t65 @t104 @t102 @t1 @t63 @t115 @t114) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t65 @t104 @t102 @t1 @t63) @t115 @t114 @t1 @t63) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t65 @t115 @t114 @t1 @t63) @t104 @t102 @t1 @t63)) @t284))) % 0.53/3.13 (assume @p134 (forall @t159 (or @t286 @t85 @t285))) % 0.53/3.13 (assume @p135 (forall (@list @t14 @t4 @t12 @t1) (or @t153 @t155 (not @t287)))) % 0.53/3.13 (assume @p136 (forall @t289 (or @t287 @t288))) % 0.53/3.13 (assume @p137 (forall @t289 (or @t287 @t290))) % 0.53/3.13 (assume @p138 (forall @t26 (or @t29 @t293))) % 0.53/3.13 (assume @p139 (forall @t26 (or @t29 @t294))) % 0.53/3.13 (assume @p140 (forall @t26 (or @t40 @t294))) % 0.53/3.13 (assume @p141 (forall @t26 (or @t40 @t293))) % 0.53/3.13 (assume @p142 (forall @t57 (= (tptp.hAPP (tptp.hAPP @t30 @t34) @t11) @t295))) % 0.53/3.13 (assume @p143 (forall @t57 (= @t295 (tptp.hAPP @t31 @t241)))) % 0.53/3.13 (assume @p144 (forall (@list @t63 @t12 @t1 @t14) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t210 @t12 @t63 @t10) @t14 @t10) @t14))) % 0.53/3.13 (assume @p145 (forall @t217 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t216 @t10) @t12))) % 0.53/3.13 (assume @p146 (forall @t197 (or @t196 @t298 @t297))) % 0.53/3.13 (assume @p147 (forall @t110 (or @t196 @t296 (not @t298)))) % 0.53/3.13 (assume @p148 (forall @t165 (or @t270 @t85 @t269))) % 0.53/3.13 (assume @p149 (forall @t35 (or @t262 @t299 (= @t14 @t51)))) % 0.53/3.13 (assume @p150 (forall @t35 (or @t262 @t299 (= @t12 @t51)))) % 0.53/3.13 (assume @p151 (forall @t169 (or @t300 @t192))) % 0.53/3.13 (assume @p152 (forall @t169 (or (not @t300) @t191))) % 0.53/3.13 (assume @p153 (forall @t60 (or @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t1) @t50)))) % 0.53/3.13 (assume @p154 (forall @t60 (= (tptp.c_HOL_Ouminus__class_Ouminus @t73 @t10) @t58))) % 0.53/3.13 (assume @p155 (forall (@list @t1 @t11 @t12 @t14) (= (tptp.hAPP @t54 @t88) (tptp.c_HOL_Ominus__class_Ominus @t55 (tptp.hAPP @t54 @t14) @t10)))) % 0.53/3.13 (assume @p156 (forall @t57 (= (tptp.hAPP @t302 @t11) @t301))) % 0.53/3.13 (assume @p157 (forall @t303 (= (tptp.c_Fun_Ofun__upd @t158 @t4 @t20 @t1 @t63) (tptp.c_Fun_Ofun__upd @t81 @t4 @t20 @t1 @t63)))) % 0.53/3.13 (assume @p158 (forall @t76 (or @t262 (= (tptp.hAPP @t6 @t51) @t4)))) % 0.53/3.13 (assume @p159 (forall @t76 (or @t262 (= (tptp.hAPP (tptp.hAPP @t5 @t51) @t4) @t4)))) % 0.53/3.13 (assume @p160 (forall @t263 (= (tptp.hAPP (tptp.hAPP @t30 @t73) @t14) @t14))) % 0.53/3.13 (assume @p161 (forall @t254 (= (tptp.hAPP @t33 @t73) @t12))) % 0.53/3.13 (assume @p162 (forall @t84 (= @t306 (tptp.hAPP @t33 @t304)))) % 0.53/3.13 (assume @p163 (forall @t26 (or @t29 (tptp.c_lessequals @t308 @t307 @t1)))) % 0.53/3.13 (assume @p164 (forall (@list @t1 @t12 @t11 @t14) (= @t301 (tptp.c_HOL_Ominus__class_Ominus @t241 @t14 @t10)))) % 0.53/3.13 (assume @p165 (forall @t60 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t73 @t1) @t50)))) % 0.53/3.13 (assume @p166 (forall @t309 (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 @t10)))) % 0.53/3.13 (assume @p167 (forall @t76 (or @t124 @t311))) % 0.53/3.13 (assume @p168 (forall @t76 (or @t312 @t311))) % 0.53/3.13 (assume @p169 (forall @t76 (or @t232 @t311))) % 0.53/3.13 (assume @p170 (forall @t9 (or @t29 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t38 @t1) @t4)))) % 0.53/3.13 (assume @p171 (forall @t76 (tptp.hBOOL (tptp.hAPP @t73 @t4)))) % 0.53/3.13 (assume @p172 (forall @t110 (or @t124 @t315 @t314))) % 0.53/3.13 (assume @p173 (forall @t9 (or @t8 (not (= @t49 @t3)) @t285))) % 0.53/3.13 (assume @p174 (forall @t110 (or @t178 (not (= @t105 @t103)) @t316))) % 0.53/3.13 (assume @p175 (forall @t317 (or (not (= @t74 @t113)) @t269))) % 0.53/3.13 (assume @p176 (forall @t322 (or @t124 @t118 @t321 (not @t123) @t319 @t318))) % 0.53/3.13 (assume @p177 (forall @t322 (or @t124 @t118 @t321 (not @t122) @t319 @t318))) % 0.53/3.13 (assume @p178 (forall (@list @t323 @t1) (or (not (= @t324 @t58)) (= @t323 @t59)))) % 0.53/3.13 (assume @p179 (forall @t326 (or @t325 @t201))) % 0.53/3.13 (assume @p180 (forall @t326 (or @t325 @t203))) % 0.53/3.13 (assume @p181 (forall @t327 (or @t202 @t200 (not @t325)))) % 0.53/3.13 (assume @p182 (forall @t309 (tptp.c_in @t4 @t73 @t1))) % 0.53/3.13 (assume @p183 (forall @t327 (or @t203 @t329))) % 0.53/3.13 (assume @p184 (forall @t330 (or @t200 @t329))) % 0.53/3.13 (assume @p185 (forall @t332 (or @t331 @t200))) % 0.53/3.13 (assume @p186 (forall @t332 (or @t201 (not @t331)))) % 0.53/3.13 (assume @p187 (forall @t327 (or @t202 @t201 @t224))) % 0.53/3.13 (assume @p188 (forall @t327 (or @t202 @t333))) % 0.53/3.13 (assume @p189 (forall @t330 (or @t200 @t333))) % 0.53/3.13 (assume @p190 (forall @t336 (or @t286 @t335 @t334 @t285 @t213))) % 0.53/3.13 (assume @p191 (forall @t336 (or @t286 @t335 @t334 @t213 @t285))) % 0.53/3.13 (assume @p192 (forall (@list @t81 @t4 @t209 @t12 @t1 @t63) (or (not (= @t157 (tptp.hAPP @t81 @t209))) @t337 @t334 @t213 @t271))) % 0.53/3.13 (assume @p193 (forall @t336 (or @t286 @t213 @t285 @t335 @t334))) % 0.53/3.13 (assume @p194 (forall (@list @t104 @t139 @t1) (or @t339 (not @t338)))) % 0.53/3.13 (assume @p195 (forall (@list @t139 @t104 @t1) (or @t338 (not @t339)))) % 0.53/3.13 (assume @p196 (forall @t326 (or @t328 @t202 @t201))) % 0.53/3.13 (assume @p197 (forall (@list @t102 @t12 @t14 @t63 @t1 @t4) (or (tptp.c_in @t102 @t342 @t1) (not (tptp.c_in @t102 @t152 @t1)) @t341))) % 0.53/3.13 (assume @p198 (forall (@list @t102 @t12 @t14 @t1 @t63 @t104) (or (tptp.c_in @t102 @t346 @t63) (not (tptp.c_in @t102 @t345 @t63)) @t344))) % 0.53/3.13 (assume @p199 (forall (@list @t104 @t81 @t14 @t1 @t63) (or @t349 (not @t348)))) % 0.53/3.13 (assume @p200 (forall (@list @t104 @t81 @t12 @t63 @t1) (or (tptp.c_in @t104 @t305 @t63) (not (tptp.c_in @t347 @t12 @t1))))) % 0.53/3.13 (assume @p201 (forall (@list @t104 @t81 @t14 @t63 @t1) (or (tptp.c_in @t104 @t350 @t63) (not (tptp.c_in @t347 @t14 @t1))))) % 0.53/3.13 (assume @p202 (forall @t351 (or @t348 (not @t349)))) % 0.53/3.13 (assume @p203 (forall (@list @t81 @t104 @t12 @t63 @t1) (or (tptp.c_in @t347 @t12 @t63) (not (tptp.c_in @t104 @t82 @t1))))) % 0.53/3.13 (assume @p204 (forall (@list @t250 @t252 @t12 @t4 @t1 @t251 @t249 @t248 @t247 @t246 @t245) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t250 @t352) @t4)) @t334 @t253))) % 0.53/3.13 (assume @p205 (forall (@list @t250 @t4 @t251 @t12 @t1 @t252 @t249 @t248 @t247 @t246 @t245) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t250 @t4) @t353)) @t334 @t253))) % 0.53/3.13 (assume @p206 (forall (@list @t12 @t14 @t1 @t63 @t102 @t4) (or @t354 (not (tptp.hBOOL (tptp.hAPP @t152 @t102))) @t334))) % 0.53/3.13 (assume @p207 (forall (@list @t12 @t14 @t1 @t63 @t102 @t104) (or @t354 (not (tptp.hBOOL (tptp.hAPP @t345 @t102))) @t344))) % 0.53/3.13 (assume @p208 (forall @t9 (or @t312 @t285 @t228 @t356))) % 0.53/3.13 (assume @p209 (forall @t9 (or @t312 @t285 @t356 @t228))) % 0.53/3.13 (assume @p210 (forall @t110 (or @t124 @t296 @t121 @t316))) % 0.53/3.13 (assume @p211 (forall @t110 (or @t124 @t296 @t316 @t121))) % 0.53/3.13 (assume @p212 (forall @t9 (or @t124 @t228 @t285 @t356))) % 0.53/3.13 (assume @p213 (forall @t9 (or @t124 @t285 @t228 @t356))) % 0.53/3.13 (assume @p214 (forall @t197 (or @t124 @t313 @t357 @t316))) % 0.53/3.13 (assume @p215 (forall @t197 (or @t124 @t313 @t316 @t357))) % 0.53/3.13 (assume @p216 (forall @t361 (or @t196 @t360 @t359 (not @t358)))) % 0.53/3.13 (assume @p217 (forall @t361 (or @t196 @t360 @t358 @t362))) % 0.53/3.13 (assume @p218 (forall @t233 (or @t232 @t231 @t364 @t229))) % 0.53/3.13 (assume @p219 (forall @t233 (or @t232 @t231 @t230 @t356))) % 0.53/3.13 (assume @p220 (forall @t222 (or @t124 @t221 @t220 @t362))) % 0.53/3.13 (assume @p221 (forall @t222 (or @t124 @t221 @t365 @t219))) % 0.53/3.13 (assume @p222 (forall (@list @t1 @t104 @t4 @t102) (or @t25 @t368 @t367))) % 0.53/3.13 (assume @p223 (forall (@list @t1 @t102 @t4 @t104) (or @t25 @t369 @t367))) % 0.53/3.13 (assume @p224 (forall @t183 (or @t25 @t372 @t371))) % 0.53/3.13 (assume @p225 (forall @t183 (or @t25 @t372 @t374))) % 0.53/3.13 (assume @p226 (forall @t233 (or @t25 @t377 @t376))) % 0.53/3.13 (assume @p227 (forall @t240 (or @t25 @t363 @t376))) % 0.53/3.13 (assume @p228 (forall (@list @t1 @t378 @t81) (or @t170 (tptp.c_lessequals @t378 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t81 @t1) @t1) (not (tptp.c_lessequals @t378 @t379 @t1))))) % 0.53/3.13 (assume @p229 (forall @t76 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t4 @t51 @t1)))) % 0.53/3.13 (assume @p230 (forall @t9 (or @t40 @t380))) % 0.53/3.13 (assume @p231 (forall @t9 (or @t40 @t381))) % 0.53/3.13 (assume @p232 (forall @t183 (or @t40 @t382 @t374 @t371))) % 0.53/3.13 (assume @p233 (forall @t26 (or @t40 @t384 @t383 @t356))) % 0.53/3.13 (assume @p234 (forall @t9 (or @t29 @t381))) % 0.53/3.13 (assume @p235 (forall @t9 (or @t29 @t380))) % 0.53/3.13 (assume @p236 (forall @t9 (or @t25 @t385 @t356))) % 0.53/3.13 (assume @p237 (forall @t9 (or @t25 (not @t385) @t355))) % 0.53/3.13 (assume @p238 (forall @t9 (or @t25 (= @t23 @t4) @t362))) % 0.53/3.13 (assume @p239 (forall @t9 (or @t232 @t355 @t229))) % 0.53/3.13 (assume @p240 (forall @t9 (or @t124 @t355 @t229))) % 0.53/3.13 (assume @p241 (forall @t9 (or @t232 @t228 @t359 @t356))) % 0.53/3.13 (assume @p242 (forall @t197 (or @t196 @t386 @t121))) % 0.53/3.13 (assume @p243 (forall @t110 (or @t196 @t120 (not @t386)))) % 0.53/3.13 (assume @p244 (forall @t9 (or @t312 @t228 @t359))) % 0.53/3.13 (assume @p245 (forall @t76 (or @t312 (not @t387) @t311))) % 0.53/3.13 (assume @p246 (forall @t76 (or @t312 @t310 @t387))) % 0.53/3.13 (assume @p247 (forall @t9 (or @t312 @t229 @t362))) % 0.53/3.13 (assume @p248 (forall @t388 (or @t312 @t359 @t228))) % 0.53/3.13 (assume @p249 (forall @t9 (or @t312 @t356 @t219))) % 0.53/3.13 (assume @p250 (forall @t388 (or @t312 @t218 @t355))) % 0.53/3.13 (assume @p251 (forall @t388 (or @t232 @t362 @t229))) % 0.53/3.13 (assume @p252 (forall @t9 (or @t40 @t389 @t356))) % 0.53/3.13 (assume @p253 (forall @t9 (or @t40 (not @t389) @t355))) % 0.53/3.13 (assume @p254 (forall @t9 (or @t40 (= @t38 @t2) @t362))) % 0.53/3.13 (assume @p255 (forall @t392 (or @t25 @t366 @t391 @t390))) % 0.53/3.13 (assume @p256 (forall @t9 (or @t25 @t393))) % 0.53/3.13 (assume @p257 (forall @t388 (or @t25 @t394))) % 0.53/3.13 (assume @p258 (forall @t240 (or @t25 (tptp.c_lessequals @t21 @t4 @t1) (not @t395) @t362))) % 0.53/3.13 (assume @p259 (forall @t26 (or @t25 @t375 @t364 @t383))) % 0.53/3.13 (assume @p260 (forall @t388 (or @t29 @t394))) % 0.53/3.13 (assume @p261 (forall @t9 (or @t29 @t393))) % 0.53/3.13 (assume @p262 (forall @t183 (or @t40 @t370 @t396))) % 0.53/3.13 (assume @p263 (forall (@list @t1 @t4 @t102 @t104) (or @t40 @t373 @t396))) % 0.53/3.13 (assume @p264 (forall @t392 (or @t40 @t397 @t390))) % 0.53/3.13 (assume @p265 (forall @t392 (or @t40 @t397 @t391))) % 0.53/3.13 (assume @p266 (forall @t26 (or @t40 @t355 @t398))) % 0.53/3.13 (assume @p267 (forall @t233 (or @t40 @t377 @t398))) % 0.53/3.13 (assume @p268 (forall @t197 (or @t196 @t400 (not @t399)))) % 0.53/3.13 (assume @p269 (forall @t110 (or @t196 @t399 (not @t400)))) % 0.53/3.13 (assume @p270 (forall @t197 (or @t196 @t402 (not @t401)))) % 0.53/3.13 (assume @p271 (forall @t110 (or @t196 @t401 (not @t402)))) % 0.53/3.13 (assume @p272 (forall @t406 (or (= @t405 @t58) @t403))) % 0.53/3.13 (assume @p273 (forall (@list @t81 @t4 @t2 @t1 @t63 @t12) (or (tptp.c_Fun_Oinj__on @t158 @t12 @t1 @t63) (tptp.c_in @t2 @t87 @t63) @t213))) % 0.53/3.13 (assume @p274 (forall @t408 (or @t407 @t344 @t85))) % 0.53/3.13 (assume @p275 (forall (@list @t104 @t12 @t1 @t81 @t63) (or @t343 (not @t407) @t85))) % 0.53/3.13 (assume @p276 (forall @t388 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t218 @t228 @t285))) % 0.53/3.13 (assume @p277 (forall @t9 (or @t312 @t285 @t218 @t228))) % 0.53/3.13 (assume @p278 (forall (@list @t412 @t409 @t115 @t410) (or (= @t412 @t409) (not (tptp.hBOOL (tptp.hAPP @t411 @t412))) (not (tptp.hBOOL (tptp.hAPP @t411 @t409)))))) % 0.53/3.13 (assume @p279 (forall @t169 (or (= @t81 @t167) (not (tptp.c_Map_Omap__le @t167 @t81 @t1 @t63)) @t413))) % 0.53/3.13 (assume @p280 (forall @t388 (or @t312 @t218 @t228 @t285))) % 0.53/3.13 (assume @p281 (forall @t388 (or @t312 @t218 @t285 @t228))) % 0.53/3.13 (assume @p282 (forall @t9 (or @t312 @t285 @t228 @t218))) % 0.53/3.13 (assume @p283 (forall @t9 (or @t29 (= (tptp.hAPP @t6 @t23) @t4)))) % 0.53/3.13 (assume @p284 (forall @t392 (or @t40 @t414 (not (tptp.c_HOL_Oord__class_Oless @t102 @t4 @t1))))) % 0.53/3.13 (assume @p285 (forall @t392 (or @t40 @t414 (not (tptp.c_HOL_Oord__class_Oless @t104 @t4 @t1))))) % 0.53/3.13 (assume @p286 (forall @t45 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t34 @t10) @t12))) % 0.53/3.13 (assume @p287 (forall (@list @t104 @t12 @t63 @t14 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t104 @t12 @t63) @t14 @t63 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t345 @t342 @t10)))) % 0.53/3.13 (assume @p288 (forall @t415 (= (tptp.c_Fun_Ofun__upd @t81 @t4 @t157 @t63 @t1) @t81))) % 0.53/3.13 (assume @p289 (forall (@list @t81 @t4 @t2 @t63 @t1) (= (tptp.hAPP @t416 @t4) @t2))) % 0.53/3.13 (assume @p290 (forall (@list @t81 @t4 @t1 @t63) (= (tptp.c_Fun_Ofun__upd @t81 @t4 @t157 @t1 @t63) @t81))) % 0.53/3.13 (assume @p291 (forall (@list @t81 @t4 @t2 @t1 @t417) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t81 @t4 @t2 @t1 @t417) @t4) @t2))) % 0.53/3.13 (assume @p292 (forall (@list @t81 @t4 @t417 @t1) (= (tptp.c_Fun_Ofun__upd @t81 @t4 @t157 @t417 @t1) @t81))) % 0.53/3.13 (assume @p293 (forall @t425 (or @t424 (= @t419 @t418)))) % 0.53/3.13 (assume @p294 (forall @t425 (or @t424 (= @t423 @t421)))) % 0.53/3.13 (assume @p295 (forall @t425 (or @t424 (= @t422 @t420)))) % 0.53/3.13 (assume @p296 (forall @t254 (or @t95 (not @t426) @t134))) % 0.53/3.13 (assume @p297 (forall @t75 (or @t426 @t96 @t134))) % 0.53/3.13 (assume @p298 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t73 @t10) @t58))) % 0.53/3.13 (assume @p299 (forall @t429 (or @t428 @t69 @t427))) % 0.53/3.13 (assume @p300 (forall @t240 (or @t239 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t291 @t4 @t1) (tptp.hAPP (tptp.hAPP @t5 @t111) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t4 @t1)))))) % 0.53/3.13 (assume @p301 (forall @t26 (or @t239 (= @t308 @t307)))) % 0.53/3.13 (assume @p302 (forall @t430 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t56 @t10) (tptp.hAPP @t53 @t13)))) % 0.53/3.13 (assume @p303 (forall @t243 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t12 @t10) (tptp.hAPP (tptp.hAPP @t30 @t98) @t52)))) % 0.53/3.13 (assume @p304 (forall @t60 (or @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t50 @t1) @t51)))) % 0.53/3.13 (assume @p305 (forall @t60 (= @t431 @t73))) % 0.53/3.13 (assume @p306 (forall @t9 (or @t29 @t432))) % 0.53/3.13 (assume @p307 (forall @t9 (or @t40 @t432))) % 0.53/3.13 (assume @p308 (forall @t35 (= (tptp.hAPP @t33 @t34) @t34))) % 0.53/3.13 (assume @p309 (forall @t60 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t58 @t1) @t51)))) % 0.53/3.13 (assume @p310 (forall @t76 (or @t40 (= (tptp.hAPP @t6 @t4) @t4)))) % 0.53/3.13 (assume @p311 (forall @t254 (= (tptp.hAPP @t33 @t12) @t12))) % 0.53/3.13 (assume @p312 (forall (@list @t1 @t115 @t114 @t104 @t102) (or @t124 @t320 @t119))) % 0.53/3.13 (assume @p313 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t15 @t10) (tptp.hAPP @t302 @t101)))) % 0.53/3.13 (assume @p314 (forall @t57 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t11 @t10) (tptp.hAPP @t33 @t100)))) % 0.53/3.13 (assume @p315 (forall @t259 (or (tptp.c_lessequals (tptp.c_Set_Oimage @t81 @t74 @t1 @t63) (tptp.c_HOL_Ouminus__class_Ouminus @t87 @t83) @t83) @t85))) % 0.53/3.13 (assume @p316 (forall (@list @t4 @t1 @t12 @t139) (or @t141 @t433 @t334))) % 0.53/3.13 (assume @p317 (forall @t430 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t56 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t101 @t10)))) % 0.53/3.13 (assume @p318 (forall (@list @t12 @t14 @t63 @t93 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t145 @t93 @t63 @t10) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 @t93 @t63 @t10) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t14 @t93 @t63 @t10) @t10)))) % 0.53/3.13 (assume @p319 (forall (@list @t12 @t81 @t4 @t1 @t63) (or @t435 (not @t434)))) % 0.53/3.13 (assume @p320 (forall (@list @t81 @t12 @t1 @t63 @t4) (or @t434 (not @t435)))) % 0.53/3.13 (assume @p321 (forall @t76 (= (tptp.c_The @t437 @t1) @t4))) % 0.53/3.13 (assume @p322 (forall @t259 (or @t438 @t213))) % 0.53/3.13 (assume @p323 (forall (@list @t1 @t12 @t14 @t4) (or @t150 @t288 @t290))) % 0.53/3.13 (assume @p324 (forall (@list @t81 @t4 @t2 @t63 @t1 @t20) (or (= (tptp.hAPP @t416 @t20) @t440) @t439))) % 0.53/3.13 (assume @p325 (forall @t303 (or (= (tptp.hAPP @t158 @t20) @t440) @t439))) % 0.53/3.13 (assume @p326 (forall @t110 (or @t109 (= @t129 (tptp.c_HOL_Ouminus__class_Ouminus @t128 @t1))))) % 0.53/3.13 (assume @p327 (forall @t406 (or (= @t405 @t73) (not @t403)))) % 0.53/3.13 (assume @p328 (forall @t361 (or @t196 @t360 @t441 @t229))) % 0.53/3.13 (assume @p329 (forall @t361 (or @t196 @t360 @t228 (not @t441)))) % 0.53/3.13 (assume @p330 (forall @t322 (or @t124 @t118 @t321 @t120))) % 0.53/3.13 (assume @p331 (forall @t110 (or @t124 @t297 @t314))) % 0.53/3.13 (assume @p332 (forall @t9 (or @t312 @t229 @t219))) % 0.53/3.13 (assume @p333 (forall @t388 (or @t232 @t219 @t229))) % 0.53/3.13 (assume @p334 (forall @t197 (or @t232 @t314 @t297))) % 0.53/3.13 (assume @p335 (forall @t156 (or @t448 @t334 @t445 @t444))) % 0.53/3.13 (assume @p336 (forall @t450 (or @t443 @t334 @t449 @t445))) % 0.53/3.13 (assume @p337 (forall @t450 (or @t443 @t334 @t449 @t224))) % 0.53/3.13 (assume @p338 (forall @t450 (or @t443 @t42 @t449 @t224))) % 0.53/3.13 (assume @p339 (forall (@list @t12 @t1 @t14 @t63 @t167 @t81) (or (= @t97 (tptp.c_Finite__Set_Ocard @t14 @t63)) (not @t452) @t134 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t167 @t14 @t63 @t1) @t12 @t10)) (not (tptp.c_Fun_Oinj__on @t167 @t14 @t63 @t1)) (not @t451) @t213))) % 0.53/3.13 (assume @p340 (forall (@list @t63 @t93 @t453 @t12 @t1) (or @t94 (tptp.c_lessequals (tptp.hAPP @t93 @t453) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t12 @t93 @t1 @t63) @t63) (not (tptp.c_in @t453 @t12 @t1))))) % 0.53/3.13 (assume @p341 (forall @t454 (or @t170 (tptp.c_lessequals @t255 @t4 @t1) @t334))) % 0.53/3.13 (assume @p342 (forall @t455 (or @t170 (tptp.c_lessequals @t4 @t261 @t1) @t334))) % 0.53/3.13 (assume @p343 (forall (@list @t14 @t4 @t63 @t12 @t1) (or (tptp.c_Finite__Set_Ofinite @t152 @t63) @t334 (not (tptp.c_Finite__Set_Ofinite @t346 @t63)) @t134))) % 0.53/3.13 (assume @p344 (forall (@list @t12 @t14 @t63 @t1 @t4) (or (not (= @t342 @t58)) @t456 @t341))) % 0.53/3.13 (assume @p345 (forall (@list @t1 @t12 @t14 @t63 @t4) (or (not (= @t58 @t342)) @t456 @t341))) % 0.53/3.13 (assume @p346 (forall @t458 (or @t457 @t334 @t138))) % 0.53/3.13 (assume @p347 (forall (@list @t1 @t4 @t209 @t12) (or @t40 (tptp.c_lessequals @t4 @t209 @t1) @t337 (not (tptp.c_lessequals @t4 @t459 @t1)) @t92 @t134))) % 0.53/3.13 (assume @p348 (forall @t110 (or @t124 @t460 @t120))) % 0.53/3.13 (assume @p349 (forall @t110 (or @t124 (not @t460) @t121))) % 0.53/3.13 (assume @p350 (forall @t110 (or @t124 @t315 @t120))) % 0.53/3.13 (assume @p351 (forall @t110 (or @t124 (not @t315) @t121))) % 0.53/3.13 (assume @p352 (forall @t463 (or (= @t462 (tptp.c_Set_Oinsert @t4 @t88 @t1)) @t445))) % 0.53/3.13 (assume @p353 (forall @t467 (or (= @t466 @t56) @t464))) % 0.53/3.13 (assume @p354 (forall @t469 (or (= @t468 @t34) @t343))) % 0.53/3.13 (assume @p355 (forall @t463 (or (= @t462 @t88) @t457))) % 0.53/3.13 (assume @p356 (forall @t289 (or @t223 @t457 @t444))) % 0.53/3.13 (assume @p357 (forall @t450 (or @t443 @t457 @t224))) % 0.53/3.13 (assume @p358 (forall @t467 (or (= @t466 (tptp.c_Set_Oinsert @t104 @t56 @t1)) (not @t464)))) % 0.53/3.13 (assume @p359 (forall @t469 (or (= @t468 @t470) @t344))) % 0.53/3.13 (assume @p360 (forall (@list @t104 @t81 @t1 @t378) (or (tptp.c_in @t104 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t81 @t10) @t1) (not (tptp.c_lessequals @t378 @t379 @t10)) @t471))) % 0.53/3.13 (assume @p361 (forall (@list @t14 @t104 @t12 @t1 @t63) (or (tptp.c_lessequals @t345 @t346 @t83) @t344))) % 0.53/3.13 (assume @p362 (forall (@list @t12 @t4 @t14 @t1 @t272 @t63) (or (tptp.c_lessequals @t154 @t14 @t10) (not (tptp.c_in @t4 @t272 @t63)) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t272 @t12 @t63 @t10) @t14 @t10))))) % 0.53/3.13 (assume @p363 (forall (@list @t130 @t4 @t12 @t1) (or (= (tptp.c_Finite__Set_Ofold1 @t130 @t461 @t1) (tptp.hAPP (tptp.hAPP @t130 @t4) @t131)) @t143 @t134 @t92 @t132))) % 0.53/3.13 (assume @p364 (forall @t472 (or (= (tptp.c_Finite__Set_Ocard @t447 @t1) @t97) @t143 @t134))) % 0.53/3.13 (assume @p365 (forall @t322 (or @t124 @t473 @t319 @t318))) % 0.53/3.13 (assume @p366 (forall @t174 (or @t124 @t173 @t121 @t474))) % 0.53/3.13 (assume @p367 (forall @t172 (or @t124 @t171 @t121 @t474))) % 0.53/3.13 (assume @p368 (forall @t322 (or @t124 @t473 @t120))) % 0.53/3.13 (assume @p369 (forall @t480 (or @t479 (not (tptp.c_in @t478 @t477 @t1)) @t476 @t475 @t236))) % 0.53/3.13 (assume @p370 (forall @t415 (tptp.c_in @t157 @t304 @t1))) % 0.53/3.13 (assume @p371 (forall @t483 (or (= @t482 @t481) @t340))) % 0.53/3.13 (assume @p372 (forall @t60 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t58 @t1) @t50)))) % 0.53/3.13 (assume @p373 (forall @t450 (or @t443 @t42 @t449 @t445))) % 0.53/3.13 (assume @p374 (forall @t408 (or (not @t488) @t485))) % 0.53/3.13 (assume @p375 (forall @t408 (or @t484 @t488 @t213))) % 0.53/3.13 (assume @p376 (forall @t76 (or @t262 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t4 @t1) @t4)))) % 0.53/3.13 (assume @p377 (forall @t76 (or @t262 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t50 @t1) @t4)))) % 0.53/3.13 (assume @p378 (forall @t76 (or @t262 (= (tptp.hAPP (tptp.hAPP @t5 @t50) @t4) @t50)))) % 0.53/3.13 (assume @p379 (forall @t76 (or @t262 (= (tptp.hAPP @t6 @t50) @t50)))) % 0.53/3.13 (assume @p380 (forall @t35 (or @t262 @t489 (= @t12 @t50)))) % 0.53/3.13 (assume @p381 (forall @t35 (or @t262 @t489 (= @t14 @t50)))) % 0.53/3.13 (assume @p382 (forall @t60 (or @t490 @t95))) % 0.53/3.13 (assume @p383 (forall (@list @t491 @t1 @t234) (or @t494 @t493))) % 0.53/3.13 (assume @p384 (forall (@list @t234 @t1 @t491) (or @t235 @t493))) % 0.53/3.13 (assume @p385 (forall (@list @t234 @t491 @t1) (or @t492 @t495 @t236))) % 0.53/3.13 (assume @p386 (forall @t45 (or @t496 @t134 @t135))) % 0.53/3.13 (assume @p387 (forall @t317 (or @t133 @t497 @t135))) % 0.53/3.13 (assume @p388 (forall @t45 (or @t496 @t134))) % 0.53/3.13 (assume @p389 (forall @t499 (or @t498 @t495))) % 0.53/3.13 (assume @p390 (forall @t499 (or @t498 @t236))) % 0.53/3.13 (assume @p391 (forall @t260 (= (tptp.c_Set_Ovimage @t81 @t210 @t1 @t63) @t58))) % 0.53/3.13 (assume @p392 (forall @t60 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t58 @t10) @t58))) % 0.53/3.13 (assume @p393 (forall (@list @t252 @t1 @t245 @t251 @t250 @t249 @t248 @t247 @t246) (or (= (tptp.hAPP @t252 @t58) @t245) @t253))) % 0.53/3.13 (assume @p394 (forall (@list @t251 @t1 @t246 @t252 @t250 @t249 @t248 @t247 @t245) (or (= (tptp.hAPP @t251 @t58) @t246) @t253))) % 0.53/3.13 (assume @p395 (forall (@list @t1 @t139 @t4) (or (not (= @t58 @t140)) @t433))) % 0.53/3.13 (assume @p396 (forall (@list @t139 @t1 @t4) (or (not (= @t140 @t58)) @t433))) % 0.53/3.13 (assume @p397 (forall (@list @t81 @t1 @t4) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t81 @t58 @t1) @t4))))) % 0.53/3.13 (assume @p398 (forall @t60 (not (= @t73 @t58)))) % 0.53/3.13 (assume @p399 (forall @t254 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t12 @t10) @t58))) % 0.53/3.13 (assume @p400 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t58 @t10) @t12))) % 0.53/3.13 (assume @p401 (forall @t263 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t14 @t10) @t14))) % 0.53/3.13 (assume @p402 (forall @t75 (not (tptp.c_HOL_Oord__class_Oless @t12 @t58 @t10)))) % 0.53/3.13 (assume @p403 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 @t10) @t58))) % 0.53/3.13 (assume @p404 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t58 @t10) @t12))) % 0.53/3.13 (assume @p405 (forall @t254 (= (tptp.hAPP @t33 @t58) @t58))) % 0.53/3.13 (assume @p406 (forall @t263 (= (tptp.hAPP (tptp.hAPP @t30 @t58) @t14) @t58))) % 0.53/3.13 (assume @p407 (forall @t264 (tptp.c_Fun_Oinj__on @t81 @t58 @t1 @t63))) % 0.53/3.13 (assume @p408 (forall @t45 (or @t500 @t136))) % 0.53/3.13 (assume @p409 (forall @t45 (or @t500 @t92))) % 0.53/3.13 (assume @p410 (forall @t351 (= (tptp.c_Set_Ovimage @t81 @t501 @t1 @t63) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t81 (tptp.c_Set_Oinsert @t104 @t210 @t63) @t1 @t63) @t144 @t10)))) % 0.53/3.13 (assume @p411 (forall @t110 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t503 @t1) @t129)))) % 0.53/3.13 (assume @p412 (forall @t110 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t503 @t1) @t108)))) % 0.53/3.13 (assume @p413 (forall @t35 (or @t137 (not @t504)))) % 0.53/3.13 (assume @p414 (forall @t35 (or @t138 @t504))) % 0.53/3.13 (assume @p415 (forall @t259 (or @t438 @t213 @t134))) % 0.53/3.13 (assume @p416 (forall @t259 (or (not @t438) @t134 @t164))) % 0.53/3.13 (assume @p417 (forall (@list @t252 @t104 @t12 @t1 @t248 @t251 @t250 @t249 @t247 @t246 @t245) (or (= (tptp.hAPP @t252 @t256) (tptp.hAPP @t505 @t352)) @t253))) % 0.53/3.13 (assume @p418 (forall (@list @t251 @t104 @t12 @t1 @t247 @t252 @t250 @t249 @t248 @t246 @t245) (or (= (tptp.hAPP @t251 @t256) (tptp.hAPP @t506 @t353)) @t253))) % 0.53/3.13 (assume @p419 (forall (@list @t1 @t104 @t12 @t14) (= (tptp.hAPP (tptp.hAPP @t30 @t256) @t465) @t470))) % 0.53/3.13 (assume @p420 (forall @t507 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t465 @t10) (tptp.c_Set_Oinsert @t104 @t18 @t1)))) % 0.53/3.13 (assume @p421 (forall (@list @t104 @t14 @t1 @t11) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t465 @t11 @t10) (tptp.c_Set_Oinsert @t104 @t15 @t1)))) % 0.53/3.13 (assume @p422 (forall (@list @t81 @t12 @t1 @t63 @t104) (or @t164 @t485))) % 0.53/3.13 (assume @p423 (forall @t513 (or @t512 @t511 @t510))) % 0.53/3.13 (assume @p424 (forall @t513 (or @t512 @t509 @t515 @t514))) % 0.53/3.13 (assume @p425 (forall (@list @t63 @t167 @t81 @t1) (or @t512 (not @t515) @t510))) % 0.53/3.13 (assume @p426 (forall @t45 (or @t269 @t223 @t42))) % 0.53/3.13 (assume @p427 (forall @t45 (or @t223 @t269 @t42))) % 0.53/3.13 (assume @p428 (forall (@list @t14 @t11 @t12 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t14 (tptp.c_HOL_Ominus__class_Ominus @t11 @t12 @t10) @t10) @t12) @t517 @t42))) % 0.53/3.13 (assume @p429 (forall (@list @t1 @t12 @t14 @t11 @t520) (or (tptp.c_lessequals @t34 (tptp.hAPP @t54 @t520) @t10) @t521 @t519))) % 0.53/3.13 (assume @p430 (forall @t227 (or @t226 @t225 @t42))) % 0.53/3.13 (assume @p431 (forall @t227 (or @t226 @t517 @t224))) % 0.53/3.13 (assume @p432 (forall @t165 (or @t164 @t42 @t214))) % 0.53/3.13 (assume @p433 (forall (@list @t14 @t11 @t1 @t12) (or @t516 @t523))) % 0.53/3.13 (assume @p434 (forall @t227 (or @t518 @t523))) % 0.53/3.13 (assume @p435 (forall @t75 (tptp.c_lessequals @t12 @t73 @t10))) % 0.53/3.13 (assume @p436 (forall (@list @t11 @t1 @t12 @t14) (or @t525 (not @t524) @t277))) % 0.53/3.13 (assume @p437 (forall @t35 (tptp.c_lessequals @t34 @t14 @t10))) % 0.53/3.13 (assume @p438 (forall @t35 (tptp.c_lessequals @t34 @t12 @t10))) % 0.53/3.13 (assume @p439 (forall @t526 (or (tptp.c_lessequals @t18 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t520 @t10) @t10) @t521 @t519))) % 0.53/3.13 (assume @p440 (forall @t45 (or (not @t527) @t41))) % 0.53/3.13 (assume @p441 (forall @t45 (or (= @t18 @t12) @t529))) % 0.53/3.13 (assume @p442 (forall @t45 (or @t527 @t42))) % 0.53/3.13 (assume @p443 (forall @t45 (or @t41 @t224))) % 0.53/3.13 (assume @p444 (forall @t526 (or (tptp.c_lessequals @t88 (tptp.c_HOL_Ominus__class_Ominus @t11 @t520 @t10) @t10) (not (tptp.c_lessequals @t520 @t14 @t10)) @t519))) % 0.53/3.13 (assume @p445 (forall @t317 (or @t530 @t529))) % 0.53/3.13 (assume @p446 (forall @t99 (or @t528 (not @t530)))) % 0.53/3.13 (assume @p447 (forall (@list @t14 @t1 @t12) (or (tptp.c_lessequals @t113 @t74 @t10) @t42))) % 0.53/3.13 (assume @p448 (forall @t35 (or (= @t34 @t12) @t42))) % 0.53/3.13 (assume @p449 (forall @t35 (or (= @t34 @t14) @t529))) % 0.53/3.13 (assume @p450 (forall @t19 (or @t522 @t517 @t519))) % 0.53/3.13 (assume @p451 (forall @t99 (tptp.c_lessequals @t14 @t18 @t10))) % 0.53/3.13 (assume @p452 (forall @t45 (tptp.c_lessequals @t12 @t18 @t10))) % 0.53/3.13 (assume @p453 (forall @t45 (tptp.c_lessequals @t88 @t12 @t10))) % 0.53/3.13 (assume @p454 (forall @t531 (or (tptp.c_lessequals @t305 @t350 @t83) @t42))) % 0.53/3.13 (assume @p455 (forall (@list @t11 @t14 @t1 @t12) (or @t524 @t532))) % 0.53/3.13 (assume @p456 (forall (@list @t11 @t12 @t1 @t14) (or @t275 @t532))) % 0.53/3.13 (assume @p457 (forall (@list @t81 @t12 @t14 @t1 @t63 @t11) (or @t90 @t517 @t519 @t533))) % 0.53/3.13 (assume @p458 (forall @t165 (or @t534 @t42 @t85))) % 0.53/3.13 (assume @p459 (forall (@list @t12 @t14 @t1 @t81 @t63) (or @t41 (not @t534) @t85))) % 0.53/3.13 (assume @p460 (forall (@list @t81 @t1 @t12 @t14 @t63 @t11) (or @t274 @t517 @t519 @t533))) % 0.53/3.13 (assume @p461 (forall @t146 (= (tptp.c_Set_Oimage @t81 @t145 @t63 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t481 @t535 @t10)))) % 0.53/3.13 (assume @p462 (forall (@list @t1 @t266 @t63 @t265) (or (not (= (tptp.hAPP (tptp.hAPP @t30 (tptp.c_Map_Odom @t266 @t1 @t63)) (tptp.c_Map_Odom @t265 @t1 @t63)) @t58)) (= @t278 (tptp.c_Map_Omap__add @t265 @t266 @t1 @t63))))) % 0.53/3.13 (assume @p463 (forall (@list @t81 @t4 @t1 @t63 @t12) (or (not (= @t157 @t59)) (= (tptp.c_HOL_Ominus__class_Ominus @t536 (tptp.c_Set_Oinsert @t4 @t12 @t63) @t83) (tptp.c_HOL_Ominus__class_Ominus @t536 @t12 @t83))))) % 0.53/3.13 (assume @p464 (forall (@list @t209 @t1) (not (= (tptp.c_Option_Ooption_OSome @t209 @t1) @t59)))) % 0.53/3.13 (assume @p465 (forall (@list @t537 @t1) (not (= @t538 @t59)))) % 0.53/3.13 (assume @p466 (forall (@list @t1 @t2) (not (= @t59 @t539)))) % 0.53/3.13 (assume @p467 (forall (@list @t1 @t537) (not (= @t59 @t538)))) % 0.53/3.13 (assume @p468 (forall @t429 (or @t428 @t72 @t427))) % 0.53/3.13 (assume @p469 (forall (@list @t64 @t62 @t540 @t1 @t65 @t63) (or (not (= @t68 @t541)) (= @t66 @t541)))) % 0.53/3.13 (assume @p470 (forall (@list @t64 @t62 @t4 @t1 @t65 @t63) (or (not @t427) @t67))) % 0.53/3.13 (assume @p471 (forall @t545 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t491 @t542 @t1) @t544))) % 0.53/3.13 (assume @p472 (forall (@list @t1 @t12 @t104) (or @t40 (tptp.c_lessequals @t459 @t104 @t1) @t344 @t134))) % 0.53/3.13 (assume @p473 (forall @t483 (or (= @t482 (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oimage @t81 (tptp.c_HOL_Ominus__class_Ominus @t12 (tptp.c_Set_Oinsert @t4 @t210 @t63) @t83) @t63 @t1) @t1)) @t341))) % 0.53/3.13 (assume @p474 (forall (@list @t81 @t167 @t546 @t1 @t63) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t81 @t167 @t546 @t1 @t63) @t237 @t63 @t1) (tptp.c_Set_Oimage @t81 (tptp.c_Set_Oimage @t167 @t237 @t63 @t546) @t546 @t1)))) % 0.53/3.13 (assume @p475 (forall (@list @t12 @t14 @t1 @t104) (or @t496 (not @t548)))) % 0.53/3.13 (assume @p476 (forall @t507 (or @t548 @t497))) % 0.53/3.13 (assume @p477 (forall @t179 (or @t170 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t486 @t1) @t104)))) % 0.53/3.13 (assume @p478 (forall @t549 (= @t256 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t486 @t12 @t10)))) % 0.53/3.13 (assume @p479 (forall @t179 (or @t124 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t104 @t104 @t1) @t486)))) % 0.53/3.13 (assume @p480 (forall @t549 (= @t550 @t256))) % 0.53/3.13 (assume @p481 (forall @t179 (or @t312 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t486 @t1) @t104)))) % 0.53/3.13 (assume @p482 (forall (@list @t81 @t104 @t1) (= (tptp.c_Finite__Set_Ofold1 @t81 @t486 @t1) @t104))) % 0.53/3.13 (assume @p483 (forall (@list @t2 @t4 @t1) (or (= @t2 @t551) (not (tptp.hBOOL (tptp.hAPP @t446 @t2)))))) % 0.53/3.13 (assume @p484 (forall @t309 (= (tptp.c_Set_Ocontents @t446 @t1) @t4))) % 0.53/3.13 (assume @p485 (forall (@list @t104 @t102 @t81 @t1) (or @t316 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t81 @t486 @t1) @t102)))))) % 0.53/3.13 (assume @p486 (forall @t507 (= @t547 (tptp.c_HOL_Ominus__class_Ominus @t88 @t486 @t10)))) % 0.53/3.13 (assume @p487 (forall @t507 (= @t547 (tptp.c_HOL_Ominus__class_Ominus @t487 @t14 @t10)))) % 0.53/3.13 (assume @p488 (forall (@list @t251 @t104 @t102 @t1 @t247 @t252 @t250 @t249 @t248 @t246 @t245) (or (= (tptp.hAPP @t251 @t503) (tptp.hAPP @t506 @t102)) @t253))) % 0.53/3.13 (assume @p489 (forall (@list @t252 @t104 @t102 @t1 @t248 @t251 @t250 @t249 @t247 @t246 @t245) (or (= (tptp.hAPP @t252 @t503) (tptp.hAPP @t505 @t102)) @t253))) % 0.53/3.13 (assume @p490 (forall @t309 (= (tptp.c_The @t446 @t1) @t4))) % 0.53/3.13 (assume @p491 (forall @t179 (or @t312 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t486 @t1) @t104)))) % 0.53/3.13 (assume @p492 (forall (@list @t81 @t4 @t1) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t81 @t446 @t1) @t4)))) % 0.53/3.13 (assume @p493 (forall (@list @t104 @t63 @t14 @t1) (= (tptp.c_Set_Oinsert @t104 @t216 @t1) @t486))) % 0.53/3.13 (assume @p494 (forall @t309 (tptp.hBOOL (tptp.hAPP @t446 @t551)))) % 0.53/3.13 (assume @p495 (forall @t179 (or @t170 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t486 @t1) @t104)))) % 0.53/3.13 (assume @p496 (forall (@list @t251 @t104 @t1 @t252 @t250 @t249 @t248 @t247 @t246 @t245) (or (= (tptp.hAPP @t251 @t486) @t104) @t253))) % 0.53/3.13 (assume @p497 (forall (@list @t252 @t104 @t1 @t251 @t250 @t249 @t248 @t247 @t246 @t245) (or (= (tptp.hAPP @t252 @t486) @t104) @t253))) % 0.53/3.13 (assume @p498 (forall @t179 (= (tptp.c_Collect (tptp.hAPP @t436 @t104) @t1) @t486))) % 0.53/3.13 (assume @p499 (forall @t480 (or @t479 (not (tptp.hBOOL (tptp.hAPP @t139 (tptp.c_Set_Oinsert @t478 @t477 @t1)))) @t476 @t475 @t236))) % 0.53/3.13 (assume @p500 (forall @t60 (tptp.c_lessequals @t58 @t431 @t10))) % 0.53/3.13 (assume @p501 (forall @t75 (or @t92 (not (tptp.c_lessequals @t12 @t74 @t10))))) % 0.53/3.13 (assume @p502 (forall (@list @t12 @t63 @t81 @t1) (or (tptp.c_Finite__Set_Ofinite @t12 @t63) (not (tptp.c_Fun_Oinj__on @t81 @t12 @t63 @t1)) (not (tptp.c_Finite__Set_Ofinite @t481 @t1))))) % 0.53/3.13 (assume @p503 (forall (@list @t115 @t1 @t63) (= (tptp.c_Set_Oimage @t552 @t210 @t63 @t1) @t58))) % 0.53/3.13 (assume @p504 (forall @t555 (or (= @t14 (tptp.c_Set_Oimage @t81 @t554 @t63 @t1)) @t553))) % 0.53/3.13 (assume @p505 (forall @t531 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t481 @t535 @t10) (tptp.c_Set_Oimage @t81 @t258 @t63 @t1) @t10))) % 0.53/3.13 (assume @p506 (forall @t556 (or (tptp.c_lessequals @t554 @t12 @t83) @t553))) % 0.53/3.13 (assume @p507 (forall @t84 (tptp.c_lessequals @t306 @t12 @t10))) % 0.53/3.13 (assume @p508 (forall @t187 (tptp.c_lessequals (tptp.c_Set_Oimage @t81 @t186 @t63 @t1) (tptp.hAPP (tptp.hAPP @t30 @t481) @t535) @t10))) % 0.53/3.13 (assume @p509 (forall @t559 (or @t558 (tptp.c_in @t102 (tptp.c_Map_Oran @t65 @t63 @t1) @t1)))) % 0.53/3.13 (assume @p510 (forall (@list @t323 @t4 @t1) (or (= @t323 @t61) (not (tptp.c_in @t4 @t324 @t1))))) % 0.53/3.13 (assume @p511 (forall @t309 (tptp.c_in @t4 @t560 @t1))) % 0.53/3.13 (assume @p512 (forall @t566 (or @t565 (not @t562)))) % 0.53/3.13 (assume @p513 (forall (@list @t568 @t4 @t567 @t1 @t63) (or (= (tptp.hAPP @t568 @t4) (tptp.hAPP @t567 @t4)) (not (tptp.c_in @t4 (tptp.c_Map_Odom @t568 @t1 @t63) @t1)) (not (tptp.c_Map_Omap__le @t568 @t567 @t1 @t63))))) % 0.53/3.13 (assume @p514 (forall (@list @t65 @t104 @t63 @t1) (or (not @t571) @t570))) % 0.53/3.13 (assume @p515 (forall (@list @t104 @t65 @t1 @t63) (or @t569 @t571))) % 0.53/3.13 (assume @p516 (forall @t566 (or @t565 (tptp.c_in @t65 (tptp.c_Map_Odom @t563 @t1 @t63) @t1)))) % 0.53/3.13 (assume @p517 (forall @t566 (or (= @t564 (tptp.hAPP @t563 @t65)) @t562))) % 0.53/3.13 (assume @p518 (forall @t580 (or @t579 @t577 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t576)) @t575 @t573) tptp.tc_Com_Ostate)) @t572))) % 0.53/3.13 (assume @p519 (forall (@list @t581 @t1 @t63) (tptp.c_Finite__Set_Ofinite (tptp.c_Map_Odom (tptp.c_Map_Omap__of @t581 @t1 @t63) @t1 @t63) @t1))) % 0.53/3.13 (assume @p520 (forall @t580 (or @t579 @t577 (tptp.c_in @t576 @t582 tptp.tc_Com_Opname) @t572))) % 0.53/3.13 (assume @p521 (forall (@list @t81 @t1 @t63 @t167) (or (tptp.c_lessequals (tptp.c_Map_Odom @t81 @t1 @t63) (tptp.c_Map_Odom @t167 @t1 @t63) @t10) @t413))) % 0.53/3.13 (assume @p522 (forall (@list @t139) (or (= @t584 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t139) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t583))))) % 0.53/3.13 (assume @p523 (forall (@list @t139 @t115 @t215) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t575 @t586 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t575 @t586 tptp.tc_Com_Ostate)) (not @t585)))) % 0.53/3.13 (assume @p524 (forall @t454 (or @t312 (tptp.c_lessequals @t587 @t4 @t1) @t334 @t134))) % 0.53/3.13 (assume @p525 (forall @t455 (or @t312 (tptp.c_lessequals @t4 @t588 @t1) @t334 @t134))) % 0.53/3.13 (assume @p526 (forall @t254 (or @t312 (tptp.c_in @t588 @t12 @t1) @t92 @t134))) % 0.53/3.13 (assume @p527 (forall @t254 (or @t312 (tptp.c_in @t587 @t12 @t1) @t92 @t134))) % 0.53/3.13 (assume @p528 (forall @t589 (or (= (tptp.c_Finite__Set_Ocard @t461 @t1) @t97) @t334 @t134))) % 0.53/3.13 (assume @p529 (forall @t589 (or (= (tptp.c_HOL_Ominus__class_Ominus @t461 @t446 @t10) @t12) @t143))) % 0.53/3.13 (assume @p530 (forall (@list @t4 @t209 @t63 @t130 @t1) (or (not (= (tptp.c_Set_Oinsert @t4 @t209 @t63) @t210)) (tptp.c_in @t4 @t209 @t63) @t132))) % 0.53/3.13 (assume @p531 (forall (@list @t104 @t81 @t1 @t417) (tptp.c_in @t104 (tptp.c_Set_Ovimage @t81 (tptp.c_Set_Oinsert @t347 @t58 @t1) @t417 @t1) @t417))) % 0.53/3.13 (assume @p532 (forall (@list @t81 @t104 @t102 @t63 @t1) (or (= @t347 @t102) (not (tptp.c_in @t104 (tptp.c_Set_Ovimage @t81 (tptp.c_Set_Oinsert @t102 @t210 @t63) @t1 @t63) @t1))))) % 0.53/3.13 (assume @p533 (forall @t549 (or (= @t550 @t12) @t344))) % 0.53/3.13 (assume @p534 (forall @t289 (or @t41 @t143 @t445 @t444))) % 0.53/3.13 (assume @p535 (forall @t450 (or @t443 @t42 @t143 @t445))) % 0.53/3.13 (assume @p536 (forall @t450 (or @t443 @t42 @t143 @t224))) % 0.53/3.13 (assume @p537 (forall (@list @t81 @t167 @t1 @t546 @t63) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t81 @t167 @t1 @t546 @t63) @t237 @t63 @t546) @t546) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t167 @t237 @t63 @t1) @t1))))) % 0.53/3.13 (assume @p538 (forall @t165 (or @t451 (tptp.c_in @t590 @t12 @t1)))) % 0.53/3.13 (assume @p539 (forall @t531 (or @t592 (not (tptp.c_in (tptp.hAPP @t81 @t591) @t14 @t1))))) % 0.53/3.13 (assume @p540 (forall @t531 (or @t592 (tptp.c_in @t591 @t12 @t63)))) % 0.53/3.13 (assume @p541 (forall (@list @t167 @t104 @t81 @t63 @t378 @t1) (or (tptp.c_in (tptp.hAPP @t167 @t104) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t81 @t83) @t63) (not (tptp.c_lessequals @t593 (tptp.hAPP @t81 @t593) @t83)) @t471))) % 0.53/3.13 (assume @p542 (forall @t165 (or @t451 (not (tptp.c_in (tptp.hAPP @t81 @t590) @t14 @t63))))) % 0.53/3.13 (assume @p543 (forall @t480 (or @t479 (tptp.hBOOL (tptp.hAPP @t139 @t477)) @t476 @t475 @t236))) % 0.53/3.13 (assume @p544 (forall @t480 (or @t479 (tptp.c_Finite__Set_Ofinite @t477 @t1) @t476 @t475 @t236))) % 0.53/3.13 (assume @p545 (forall @t450 (or @t596 @t42 @t595))) % 0.53/3.13 (assume @p546 (forall (@list @t115 @t1 @t63 @t12) (or (= (tptp.c_Set_Oimage @t552 @t12 @t63 @t1) (tptp.c_Set_Oinsert @t115 @t58 @t1)) @t597))) % 0.53/3.13 (assume @p547 (forall @t244 (or @t599 (not (tptp.c_lessequals @t12 @t598 @t10)) @t134))) % 0.53/3.13 (assume @p548 (forall @t555 (or (= @t14 (tptp.c_Set_Oimage @t81 @t600 @t63 @t1)) @t553 @t135))) % 0.53/3.13 (assume @p549 (forall @t556 (or (tptp.c_Finite__Set_Ofinite @t600 @t63) @t553 @t135))) % 0.53/3.13 (assume @p550 (forall @t244 (or (= @t598 @t12) (not @t599) (not (tptp.c_lessequals @t598 @t12 @t10)) @t134))) % 0.53/3.13 (assume @p551 (forall @t556 (or (tptp.c_lessequals @t600 @t12 @t83) @t553 @t135))) % 0.53/3.13 (assume @p552 (forall @t309 (= @t560 @t446))) % 0.53/3.13 (assume @p553 (forall (@list @t65 @t104 @t1 @t63) (or (= @t557 (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__XdomD__1__1 @t104 @t65 @t1 @t63) @t63)) @t570))) % 0.53/3.13 (assume @p554 (tptp.c_Finite__Set_Ofinite @t582 tptp.tc_Com_Opname)) % 0.53/3.13 (assume @p555 (forall @t149 (or @t585 @t577 @t601 @t572))) % 0.53/3.13 (assume @p556 (forall (@list @t139 @t410 @t602) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP @t603 @t584)) @t410) @t602)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t583) @t410) @t602)))))) % 0.53/3.13 (assume @p557 (forall (@list @t605 @t604 @t602) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t608) @t604) @t602)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t607) @t604) @t602)))))) % 0.53/3.13 (assume @p558 (forall @t480 (or @t479 (tptp.c_in @t478 @t12 @t1) @t476 @t475 @t236))) % 0.53/3.13 (assume @p559 (forall (@list @t1 @t93 @t609) (or @t312 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t93 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t609 @t1) @t1) @t612 @t611 @t610))) % 0.53/3.13 (assume @p560 (forall (@list @t1 @t609 @t93) (or @t312 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t609 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t93 @t1) @t1) @t612 @t611 @t610))) % 0.53/3.13 (assume @p561 (forall @t156 (or @t594 @t334 @t613))) % 0.53/3.13 (assume @p562 (forall @t450 (or @t596 @t334 @t595))) % 0.53/3.13 (assume @p563 (forall (@list @t115 @t63 @t1 @t12 @t4) (or (= (tptp.c_Set_Oimage @t404 @t12 @t1 @t63) (tptp.c_Set_Oinsert @t115 @t210 @t63)) @t334))) % 0.53/3.13 (assume @p564 (forall (@list @t605 @t102) (or (not (= @t606 (tptp.c_Option_Ooption_OSome @t102 tptp.tc_Com_Ocom))) @t601 (tptp.c_Com_OWT @t102)))) % 0.53/3.13 (assume @p565 (forall (@list @t491 @t614) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t617 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t614 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t491 @t617 @t574) (tptp.c_Set_Oimage @t615 @t614 tptp.tc_Com_Opname @t573) tptp.tc_Com_Ostate))))) % 0.53/3.13 (assume @p566 (forall @t624 (or @t623 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t621 @t1))))) % 0.53/3.13 (assume @p567 (forall @t624 (or @t623 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t622 @t491 @t618) @t621 @t1))))) % 0.53/3.13 (assume @p568 (forall @t625 (or (not (tptp.c_lessequals @t4 @t12 @t83)) (tptp.c_lessequals (tptp.c_Set_Oimage @t81 @t4 @t63 @t1) @t481 @t10)))) % 0.53/3.13 (assume @p569 (forall (@list @t104 @t11 @t1 @t520) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t104 @t11 @t1) (tptp.c_Set_Oinsert @t104 @t520 @t1) @t10) (not (tptp.c_lessequals @t11 @t520 @t10))))) % 0.53/3.13 (assume @p570 (forall @t76 (= (tptp.hAPP (tptp.c_Option_Othe @t1) @t61) @t4))) % 0.53/3.13 (assume @p571 (forall @t388 (or @t312 @t359 @t355))) % 0.53/3.13 (assume @p572 (forall @t165 (or @t534 @t42))) % 0.53/3.13 (assume @p573 (forall (@list @t491 @t409 @t542 @t1) (or @t627 @t544 (not @t626)))) % 0.53/3.13 (assume @p574 (forall (@list @t491 @t542 @t1 @t409) (or @t543 @t628))) % 0.53/3.13 (assume @p575 (forall @t472 (or (= @t12 @t446) @t92 (not (tptp.c_lessequals @t12 @t446 @t10))))) % 0.53/3.13 (assume @p576 (forall @t309 (tptp.c_in @t4 @t446 @t1))) % 0.53/3.13 (assume @p577 (forall @t84 (or (not (= @t481 @t58)) @t597))) % 0.53/3.13 (assume @p578 (forall (@list @t104 @t102 @t12 @t1) (or @t629 @t344))) % 0.53/3.13 (assume @p579 (forall (@list @t104 @t102 @t14 @t1) (or (tptp.c_in @t104 @t630 @t1) (not (tptp.c_in @t104 @t14 @t1))))) % 0.53/3.13 (assume @p580 (forall (@list @t491 @t542 @t1 @t631) (or @t543 (not (tptp.c_lessequals @t542 @t631 @t619)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t631 @t1))))) % 0.53/3.13 (assume @p581 (forall @t317 (or @t133 @t42 @t135))) % 0.53/3.13 (assume @p582 (forall @t634 (or @t633 @t632 @t433))) % 0.53/3.13 (assume @p583 (forall @t317 (or @t133 @t135 @t42))) % 0.53/3.13 (assume @p584 (forall @t76 (or @t232 @t387))) % 0.53/3.13 (assume @p585 (forall @t76 (or @t124 @t387))) % 0.53/3.13 (assume @p586 (forall @t634 (or @t633 @t433 @t632))) % 0.53/3.13 (assume @p587 (forall @t637 (or @t543 (not (tptp.c_lessequals @t635 @t491 @t619)) @t636))) % 0.53/3.13 (assume @p588 (forall @t227 (or @t518 @t517 @t42))) % 0.53/3.13 (assume @p589 (forall @t75 (tptp.c_lessequals @t12 @t12 @t10))) % 0.53/3.13 (assume @p590 (forall (@list @t409 @t14 @t1 @t12) (or (tptp.c_in @t409 @t14 @t1) (not (tptp.c_in @t409 @t12 @t1)) @t42))) % 0.53/3.13 (assume @p591 (forall @t458 (or @t445 @t42 @t334))) % 0.53/3.13 (assume @p592 (forall @t309 (tptp.c_lessequals @t4 @t4 @t10))) % 0.53/3.13 (assume @p593 (forall @t327 (or @t202 @t201 @t42))) % 0.53/3.13 (assume @p594 (forall @t458 (or @t445 @t334 @t42))) % 0.53/3.13 (assume @p595 (forall @t233 (or @t232 @t377 @t364 @t356))) % 0.53/3.13 (assume @p596 (forall @t222 (or @t124 @t395 @t365 @t362))) % 0.53/3.13 (assume @p597 (forall (@list @t81 @t167 @t12 @t546 @t63 @t1) (= (tptp.c_Set_Oimage @t81 (tptp.c_Set_Oimage @t167 @t12 @t546 @t63) @t63 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t81 @t167 @t63 @t1 @t546) @t12 @t546 @t1)))) % 0.53/3.13 (assume @p598 (forall @t463 (or @t638 @t42 @t457))) % 0.53/3.13 (assume @p599 (forall @t589 (tptp.hBOOL (tptp.hAPP @t461 @t4)))) % 0.53/3.13 (assume @p600 (forall @t351 (= (tptp.c_Set_Oimage @t81 @t501 @t63 @t1) (tptp.c_Set_Oinsert @t347 @t535 @t1)))) % 0.53/3.13 (assume @p601 (forall @t637 (or @t543 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t635 @t1)) @t636))) % 0.53/3.13 (assume @p602 (forall @t309 @t639)) % 0.53/3.13 (assume @p603 (forall @t640 (or @t238 @t639))) % 0.53/3.13 (assume @p604 (forall (@list @t115 @t1) (not (tptp.c_in @t115 @t58 @t1)))) % 0.53/3.13 (assume @p605 (forall (@list @t104 @t1) (not (tptp.c_in @t104 @t58 @t1)))) % 0.53/3.13 (assume @p606 (forall @t257 (not (= @t58 @t256)))) % 0.53/3.13 (assume @p607 (forall @t60 (tptp.c_lessequals @t58 @t58 @t10))) % 0.53/3.13 (assume @p608 (forall @t75 (or @t92 (not (tptp.c_lessequals @t12 @t58 @t10))))) % 0.53/3.13 (assume @p609 (forall @t644 (or @t643 @t642 @t641))) % 0.53/3.13 (assume @p610 (forall @t644 (or @t643 @t645 @t641))) % 0.53/3.13 (assume @p611 (forall @t644 (or @t643 @t642 @t284))) % 0.53/3.13 (assume @p612 (forall @t644 (or @t643 @t645 @t284))) % 0.53/3.13 (assume @p613 (forall (@list @t188 @t234 @t1 @t63) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t188 @t234 @t1 @t63) @t63) @t236))) % 0.53/3.13 (assume @p614 (forall @t9 (or @t124 @t285 @t356 @t362))) % 0.53/3.13 (assume @p615 (forall @t9 (or @t124 @t285 @t362 @t356))) % 0.53/3.13 (assume @p616 (forall @t45 (or @t269 @t529 @t42))) % 0.53/3.13 (assume @p617 (forall (@list @t104 @t12 @t1 @t102) (or @t343 @t316 (not @t629)))) % 0.53/3.13 (assume @p618 (forall @t76 (not (tptp.hBOOL (tptp.hAPP @t58 @t4))))) % 0.53/3.13 (assume @p619 (forall (@list @t491 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 @t620 @t1))) % 0.53/3.13 (assume @p620 (forall @t559 (or @t558 (tptp.c_in @t104 (tptp.c_Map_Odom @t65 @t63 @t1) @t63)))) % 0.53/3.13 (assume @p621 (forall (@list @t104 @t1 @t537) (or (not (= (tptp.c_Option_Ooption_OSome @t104 @t1) @t538)) (= @t104 @t537)))) % 0.53/3.13 (assume @p622 (forall @t60 (tptp.c_Finite__Set_Ofinite @t58 @t1))) % 0.53/3.13 (assume @p623 (forall @t549 (or @t646 @t134))) % 0.53/3.13 (assume @p624 (forall (@list @t12 @t1 @t104) (or @t133 (not @t646)))) % 0.53/3.13 (assume @p625 (forall (@list @t14 @t104 @t1) (tptp.c_lessequals @t14 @t465 @t10))) % 0.53/3.13 (assume @p626 (forall (@list @t12 @t4 @t2 @t1) (or @t155 (= @t2 @t4) (not @t648)))) % 0.53/3.13 (assume @p627 (forall @t589 (= (tptp.c_Set_Oinsert @t4 @t461 @t1) @t461))) % 0.53/3.13 (assume @p628 (forall @t549 (not (= @t256 @t58)))) % 0.53/3.13 (assume @p629 (forall @t76 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t50 @t4 @t1)))) % 0.53/3.13 (assume @p630 (forall @t254 (tptp.c_lessequals @t58 @t12 @t10))) % 0.53/3.13 (assume @p631 (forall (@list @t1 @t81 @t12 @t63) (or (not (= @t58 @t481)) @t597))) % 0.53/3.13 (assume @p632 (forall (@list @t491 @t605) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t491 (tptp.c_Set_Oinsert @t649 @t575 @t573) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t649 @t491 @t573) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t607) @t575 @t573) tptp.tc_Com_Ostate))))) % 0.53/3.13 (assume @p633 (forall (@list @t12 @t102 @t14 @t1) (or (tptp.c_lessequals @t12 @t630 @t10) @t42))) % 0.53/3.13 (assume @p634 (forall @t289 (or @t41 @t650))) % 0.53/3.13 (assume @p635 (forall (@list @t14 @t63 @t81 @t12 @t1) (or @t452 @t166 @t134))) % 0.53/3.13 (assume @p636 (forall (@list @t81 @t4 @t14 @t1 @t12 @t63) (or (tptp.c_in @t157 @t14 @t1) @t341 (not @t592)))) % 0.53/3.13 (assume @p637 (forall (@list @t102 @t104 @t1) (or (= @t102 @t104) (not (tptp.c_in @t102 @t486 @t1))))) % 0.53/3.13 (assume @p638 (forall @t589 (tptp.c_in @t4 @t461 @t1))) % 0.53/3.13 (assume @p639 (forall (@list @t104 @t14 @t1) (tptp.c_in @t104 @t465 @t1))) % 0.53/3.13 (assume @p640 (forall (@list @t4 @t14 @t1) (tptp.c_in @t4 @t442 @t1))) % 0.53/3.13 (assume @p641 (forall (@list @t4 @t2 @t12 @t1) (= (tptp.c_Set_Oinsert @t4 @t647 @t1) (tptp.c_Set_Oinsert @t2 @t461 @t1)))) % 0.53/3.13 (assume @p642 (forall (@list @t4 @t651 @t1) (or @t653 (not @t652)))) % 0.53/3.13 (assume @p643 (forall (@list @t651 @t4 @t1) (or @t652 (not @t653)))) % 0.53/3.13 (assume @p644 (forall (@list @t139 @t215 @t63 @t1 @t546 @t654) (= (tptp.hAPP (tptp.c_COMBB @t139 @t215 @t63 @t1 @t546) @t654) (tptp.hAPP @t139 (tptp.hAPP @t215 @t654))))) % 0.53/3.13 (assume @p645 (forall (@list @t209 @t4 @t1) (= (tptp.c_Set_Oinsert @t209 @t446 @t1) (tptp.c_Set_Oinsert @t4 (tptp.c_Set_Oinsert @t209 @t58 @t1) @t1)))) % 0.53/3.13 (assume @p646 (forall @t260 (= @t655 @t58))) % 0.53/3.13 (assume @p647 (forall @t159 (or (not (= @t157 @t539)) (= (tptp.c_Set_Oinsert @t4 @t536 @t63) @t536)))) % 0.53/3.13 (assume @p648 (forall (@list @t104 @t1 @t102) (or (not (= @t486 @t502)) @t316))) % 0.53/3.13 (assume @p649 (forall @t640 (or @t433 @t639))) % 0.53/3.13 (assume @p650 (forall (@list @t4 @t209 @t1) (or (not (= (tptp.c_Set_Oinsert @t4 @t209 @t1) @t58)) (tptp.c_in @t4 @t209 @t1)))) % 0.53/3.13 (assume @p651 (forall (@list @t491 @t409 @t1 @t542) (or @t626 @t628))) % 0.53/3.13 (assume @p652 (forall @t458 (or @t445 @t650))) % 0.53/3.13 (assume @p653 (forall (@list @t2 @t12 @t1 @t4) (or @t648 @t290))) % 0.53/3.13 (assume @p654 (forall @t656 (or (= (tptp.c_Set_Oinsert @t157 @t87 @t63) @t87) @t334))) % 0.53/3.13 (assume @p655 (forall @t450 (or @t596 @t42 @t143))) % 0.53/3.13 (assume @p656 (forall @t289 (or @t41 @t143 @t613))) % 0.53/3.13 (assume @p657 (forall @t289 (or @t41 @t613 @t143))) % 0.53/3.13 (assume @p658 (forall @t463 (or (not (= @t461 @t442)) @t445 @t143 @t269))) % 0.53/3.13 (assume @p659 (forall @t545 (or @t543 (not (tptp.c_lessequals @t542 @t491 @t619))))) % 0.53/3.13 (assume @p660 (forall (@list @t658 @t657) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t658) (tptp.hAPP tptp.c_Com_Ocom_OBODY @t657))) (= @t658 @t657)))) % 0.53/3.13 (assume @p661 (forall @t549 (or (= @t256 @t12) @t344))) % 0.53/3.13 (assume @p662 (forall (@list @t1 @t81 @t63) (= @t58 @t655))) % 0.53/3.13 (assume @p663 (forall @t254 (or @t490 @t133))) % 0.53/3.13 (assume @p664 @t659) % 0.53/3.13 (assume @p665 (forall @t625 (or @t341 @t660))) % 0.53/3.13 (assume @p666 (forall (@list @t81 @t4 @t12 @t63 @t1) (or @t660 @t341))) % 0.53/3.13 (assume @p667 (forall @t656 (or (tptp.c_in @t157 @t87 @t63) @t334))) % 0.53/3.13 (assume @p668 (forall (@list @t63 @t81 @t4 @t167 @t1) (or @t512 (tptp.c_lessequals @t157 (tptp.hAPP @t167 @t4) @t63) @t514))) % 0.53/3.13 (assume @p669 tptp.c_Com_OWT__bodies) % 0.53/3.13 (assume @p670 (tptp.c_Finite__Set_Ofinite tptp.v_Fa @t573)) % 0.53/3.13 (assume @p671 (not (tptp.c_in (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT tptp.v_y) tptp.v_Fa @t573))) % 0.53/3.13 (assume @p672 (tptp.c_lessequals tptp.v_Fa (tptp.c_Set_Oimage @t615 @t582 tptp.tc_Com_Opname @t573) @t574)) % 0.53/3.13 (assume @p673 (= (tptp.hAPP tptp.c_Com_Obody tptp.v_pn) (tptp.c_Option_Ooption_OSome tptp.v_y tptp.tc_Com_Ocom))) % 0.53/3.13 (assume @p674 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t661 tptp.v_Fa tptp.tc_Com_Ostate)) % 0.53/3.13 (assume @p675 @t662) % 0.53/3.13 (assume @p676 (not @t665)) % 0.53/3.13 (assume @p677 (forall @t669 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t668) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t666))))) % 0.53/3.13 (assume @p678 (forall @t669 (or (tptp.class_Lattices_Oupper__semilattice @t668) @t670))) % 0.53/3.13 (assume @p679 (forall @t669 (or (tptp.class_Lattices_Olower__semilattice @t668) @t670))) % 0.53/3.13 (assume @p680 (forall @t669 (or (tptp.class_Lattices_Odistrib__lattice @t668) (not (tptp.class_Lattices_Odistrib__lattice @t666))))) % 0.53/3.13 (assume @p681 (forall @t669 (or (tptp.class_Lattices_Obounded__lattice @t668) (not (tptp.class_Lattices_Obounded__lattice @t666))))) % 0.53/3.13 (assume @p682 (forall @t669 (or (tptp.class_Lattices_Oboolean__algebra @t668) (not (tptp.class_Lattices_Oboolean__algebra @t666))))) % 0.53/3.13 (assume @p683 (forall @t669 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t668) @t671 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t667))))) % 0.53/3.13 (assume @p684 (forall @t669 (or (tptp.class_Orderings_Opreorder @t668) (not (tptp.class_Orderings_Opreorder @t666))))) % 0.53/3.13 (assume @p685 (forall @t669 (or (tptp.class_Lattices_Olattice @t668) @t670))) % 0.53/3.13 (assume @p686 (forall @t669 (or (tptp.class_Orderings_Oorder @t668) (not (tptp.class_Orderings_Oorder @t666))))) % 0.53/3.13 (assume @p687 (forall @t669 (or (tptp.class_Orderings_Otop @t668) (not (tptp.class_Orderings_Otop @t666))))) % 0.53/3.13 (assume @p688 (forall @t669 (or (tptp.class_Orderings_Obot @t668) (not (tptp.class_Orderings_Obot @t666))))) % 0.53/3.13 (assume @p689 (forall @t669 (or (tptp.class_HOL_Oord @t668) (not (tptp.class_HOL_Oord @t666))))) % 0.53/3.13 (assume @p690 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.53/3.13 (assume @p691 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.53/3.13 (assume @p692 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.53/3.13 (assume @p693 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.53/3.13 (assume @p694 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.53/3.13 (assume @p695 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.53/3.13 (assume @p696 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.53/3.13 (assume @p697 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.53/3.13 (assume @p698 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.53/3.13 (assume @p699 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.53/3.13 (assume @p700 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.53/3.13 (assume @p701 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.53/3.13 (assume @p702 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.53/3.13 (assume @p703 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.53/3.13 (assume @p704 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.53/3.13 (assume @p705 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.53/3.13 (assume @p706 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.53/3.13 (assume @p707 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.53/3.13 (assume @p708 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.53/3.13 (assume @p709 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.53/3.13 (assume @p710 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.53/3.13 (assume @p711 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.53/3.13 (assume @p712 (forall (@list @t666) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t666)) @t671))) % 0.53/3.13 (assume @p713 (forall (@list @t139 @t215 @t654 @t63 @t546 @t1) (= (tptp.c_COMBC @t139 @t215 @t654 @t63 @t546 @t1) (tptp.hAPP (tptp.hAPP @t139 @t654) @t215)))) % 0.53/3.13 (assume @p714 (forall @t76 (tptp.hBOOL (tptp.hAPP @t437 @t4)))) % 0.53/3.13 (assume @p715 (forall (@list @t378 @t672 @t1) (or (= @t378 @t672) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t436 @t378) @t672)))))) % 0.53/3.13 (step @p716 :rule instantiate :premises (@p620) :args ((@list tptp.c_Com_Obody tptp.v_pna tptp.v_ya tptp.tc_Com_Ocom tptp.tc_Com_Opname))) % 0.53/3.13 (step @p717 :rule cnf_or_pos :args (@t675)) % 0.53/3.13 (step @p718 :rule reordering :premises (@p717) :args ((or @t674 @t673 (not @t675)))) % 0.53/3.13 (step @p719 :rule chain_m_resolution :premises (@p718 @p675 @p716) :args (@t673 (@list false false) (@list @t662 @t675))) % 0.53/3.13 (step @p720 :rule instantiate :premises (@p664) :args ((@list @t663 @t676 tptp.tc_Com_Ocom tptp.c_Hoare__Mirabelle_OMGT @t573))) % 0.53/3.13 (step @p721 :rule instantiate :premises (@p598) :args ((@list @t664 @t575 @t573 @t661))) % 0.53/3.13 (step @p722 :rule instantiate :premises (@p630) :args ((@list @t573 @t661))) % 0.53/3.13 (step @p723 :rule cnf_or_pos :args (@t680)) % 0.53/3.13 (step @p724 :rule reordering :premises (@p723) :args ((or @t665 @t679 @t677 (not @t680)))) % 0.53/3.13 (step @p725 :rule chain_m_resolution :premises (@p724 @p676 @p722 @p721) :args (@t677 (@list true false false) (@list @t665 @t678 @t680))) % 0.53/3.13 (step @p726 :rule false_intro :premises (@p725)) % 0.53/3.13 (step @p727 :rule refl :args (@t573)) % 0.53/3.13 (step @p728 :rule instantiate :premises (@p597) :args ((@list tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY @t582 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t573))) % 0.53/3.13 (step @p729 :rule refl :args (@t664)) % 0.53/3.13 (step @p730 :rule cong :premises (@p729 @p728 @p727) :args (@t681)) % 0.53/3.13 (step @p731 :rule trans :premises (@p730 @p726)) % 0.53/3.13 (step @p732 :rule false_elim :premises (@p731)) % 0.53/3.13 (step @p733 :rule cnf_or_pos :args (@t684)) % 0.53/3.13 (step @p734 :rule reordering :premises (@p733) :args ((or @t681 @t683 (not @t684)))) % 0.53/3.13 (step @p735 :rule chain_m_resolution :premises (@p734 @p732 @p720) :args (@t683 @t685 (@list @t681 @t684))) % 0.53/3.13 (step @p736 :rule cnf_or_pos :args (@t687)) % 0.53/3.13 (step @p737 :rule reordering :premises (@p736) :args ((or @t682 @t686 @t688))) % 0.53/3.13 (step @p738 :rule chain_m_resolution :premises (@p737 @p735 @p719) :args (@t688 @t685 (@list @t682 @t673))) % 0.53/3.13 (assume-push @p745 @t659) % 0.53/3.13 (step @p740 :rule instantiate :premises (@p664) :args ((@list tptp.v_pna @t582 tptp.tc_Com_Opname tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom))) % 0.53/3.13 (step-pop @p746 :rule scope :premises (@p740)) % 0.53/3.13 (step @p741 :rule process_scope :premises (@p746) :args (@t687)) % 0.53/3.13 (step @p743 :rule implies_elim :premises (@p741)) % 0.53/3.13 (step @p744 false :rule chain_m_resolution :premises (@p743 @p738 @p664) :args (false @t685 (@list @t687 @t659))) % 0.53/3.13 ) % 0.53/3.14 % SZS output end Proof % 0.53/3.14 % cvc5 exiting %------------------------------------------------------------------------------