%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV901-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 1.85s 2.04s % Output : Proof 1.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV901-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:21:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.85/2.04 % SZS status Unsatisfiable % 1.85/2.04 % SZS output start Proof % 1.85/2.08 ( % 1.85/2.08 (declare-sort $$unsorted 0) % 1.85/2.08 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.tc_nat $$unsorted) % 1.85/2.08 (declare-const tptp.v_y $$unsorted) % 1.85/2.08 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.tc_Com_Opname $$unsorted) % 1.85/2.08 (declare-const tptp.c_Map_Osko__Map__XdomD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Com_Obody $$unsorted) % 1.85/2.08 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.v_pn $$unsorted) % 1.85/2.08 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.tc_bool $$unsorted) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.tc_Com_Ostate $$unsorted) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.tc_Com_Ocom $$unsorted) % 1.85/2.08 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 1.85/2.08 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 1.85/2.08 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Map_Omap__of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Map_Oran (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.c_Com_OWT__bodies Bool) % 1.85/2.08 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.85/2.08 (declare-const tptp.v_Fa $$unsorted) % 1.85/2.08 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.08 (define @t1 () (@var "T_a" $$unsorted)) % 1.85/2.08 (define @t2 () (@var "V_z" $$unsorted)) % 1.85/2.08 (define @t3 () (@var "V_y" $$unsorted)) % 1.85/2.08 (define @t4 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 1.85/2.08 (define @t5 () (@var "V_x" $$unsorted)) % 1.85/2.08 (define @t6 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 1.85/2.08 (define @t7 () (tptp.hAPP @t6 @t5)) % 1.85/2.08 (define @t8 () (tptp.hAPP @t7 @t4)) % 1.85/2.08 (define @t9 () (tptp.hAPP @t7 @t2)) % 1.85/2.08 (define @t10 () (tptp.hAPP @t7 @t3)) % 1.85/2.08 (define @t11 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t1)) % 1.85/2.08 (define @t12 () (not (tptp.class_Lattices_Olattice @t1))) % 1.85/2.08 (define @t13 () (@list @t1 @t5 @t3 @t2)) % 1.85/2.08 (define @t14 () (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t1)) % 1.85/2.08 (define @t15 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.85/2.08 (define @t16 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 1.85/2.08 (define @t17 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 1.85/2.08 (define @t18 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 1.85/2.08 (define @t19 () (@list @t1 @t5 @t3)) % 1.85/2.08 (define @t20 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.85/2.08 (define @t21 () (@var "V_A" $$unsorted)) % 1.85/2.08 (define @t22 () (@var "V_C" $$unsorted)) % 1.85/2.08 (define @t23 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t21 @t20)) % 1.85/2.08 (define @t24 () (@var "V_B" $$unsorted)) % 1.85/2.08 (define @t25 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t22 @t20)) % 1.85/2.08 (define @t26 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t24 @t20)) % 1.85/2.08 (define @t27 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20)) % 1.85/2.08 (define @t28 () (tptp.hAPP @t27 @t26)) % 1.85/2.08 (define @t29 () (tptp.hAPP @t27 @t22)) % 1.85/2.08 (define @t30 () (tptp.hAPP @t29 @t21)) % 1.85/2.08 (define @t31 () (tptp.hAPP @t27 @t24)) % 1.85/2.08 (define @t32 () (tptp.hAPP @t31 @t22)) % 1.85/2.08 (define @t33 () (tptp.hAPP @t27 @t21)) % 1.85/2.08 (define @t34 () (tptp.hAPP @t33 @t24)) % 1.85/2.08 (define @t35 () (@list @t1 @t21 @t24 @t22)) % 1.85/2.08 (define @t36 () (tptp.c_Orderings_Obot__class_Obot @t20)) % 1.85/2.08 (define @t37 () (tptp.c_Option_Ooption_ONone @t1)) % 1.85/2.08 (define @t38 () (@list @t1)) % 1.85/2.08 (define @t39 () (tptp.c_Option_Ooption_OSome @t5 @t1)) % 1.85/2.08 (define @t40 () (@var "V_k" $$unsorted)) % 1.85/2.08 (define @t41 () (@var "T_b" $$unsorted)) % 1.85/2.08 (define @t42 () (@var "V_n" $$unsorted)) % 1.85/2.08 (define @t43 () (@var "V_m" $$unsorted)) % 1.85/2.08 (define @t44 () (tptp.hAPP (tptp.c_Map_Omap__add @t43 @t42 @t41 @t1) @t40)) % 1.85/2.08 (define @t45 () (= @t44 @t39)) % 1.85/2.08 (define @t46 () (tptp.hAPP @t42 @t40)) % 1.85/2.08 (define @t47 () (= @t46 @t37)) % 1.85/2.08 (define @t48 () (not @t47)) % 1.85/2.08 (define @t49 () (tptp.hAPP @t43 @t40)) % 1.85/2.08 (define @t50 () (= @t49 @t39)) % 1.85/2.08 (define @t51 () (tptp.c_Orderings_Otop__class_Otop @t20)) % 1.85/2.08 (define @t52 () (tptp.c_HOL_Ouminus__class_Ouminus @t21 @t20)) % 1.85/2.08 (define @t53 () (@list @t21 @t1)) % 1.85/2.08 (define @t54 () (@list @t1 @t5)) % 1.85/2.08 (define @t55 () (= @t49 @t37)) % 1.85/2.08 (define @t56 () (= @t44 @t37)) % 1.85/2.08 (define @t57 () (not @t56)) % 1.85/2.08 (define @t58 () (@list @t43 @t42 @t41 @t1 @t40)) % 1.85/2.08 (define @t59 () (@var "V_f" $$unsorted)) % 1.85/2.08 (define @t60 () (tptp.c_Set_Ovimage @t59 @t21 @t1 @t41)) % 1.85/2.08 (define @t61 () (tptp.tc_fun @t41 tptp.tc_bool)) % 1.85/2.08 (define @t62 () (@list @t59 @t21 @t41 @t1)) % 1.85/2.08 (define @t63 () (not (tptp.c_Fun_Oinj__on @t59 @t51 @t1 @t41))) % 1.85/2.08 (define @t64 () (tptp.c_Set_Oimage @t59 @t24 @t1 @t41)) % 1.85/2.08 (define @t65 () (tptp.c_Set_Oimage @t59 @t21 @t1 @t41)) % 1.85/2.08 (define @t66 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t24 @t20)) % 1.85/2.08 (define @t67 () (tptp.c_Set_Oimage @t59 @t66 @t1 @t41)) % 1.85/2.08 (define @t68 () (= @t67 (tptp.c_HOL_Ominus__class_Ominus @t65 @t64 @t61))) % 1.85/2.08 (define @t69 () (@list @t59 @t21 @t24 @t1 @t41)) % 1.85/2.08 (define @t70 () (= @t21 @t36)) % 1.85/2.08 (define @t71 () (@var "V_M" $$unsorted)) % 1.85/2.08 (define @t72 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t41))) % 1.85/2.08 (define @t73 () (tptp.c_Finite__Set_Ofinite @t51 @t1)) % 1.85/2.08 (define @t74 () (not @t73)) % 1.85/2.08 (define @t75 () (tptp.c_Finite__Set_Ocard @t21 @t1)) % 1.85/2.08 (define @t76 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t21 @t20)) % 1.85/2.08 (define @t77 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t21 @t20)) % 1.85/2.08 (define @t78 () (@list @t24 @t21 @t1)) % 1.85/2.08 (define @t79 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t77 @t20)) % 1.85/2.08 (define @t80 () (@list @t21 @t24 @t1)) % 1.85/2.08 (define @t81 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t22 @t20)) % 1.85/2.08 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t22 @t20)) % 1.85/2.08 (define @t83 () (@list @t21 @t24 @t1 @t22)) % 1.85/2.08 (define @t84 () (@var "V_b" $$unsorted)) % 1.85/2.08 (define @t85 () (tptp.c_HOL_Ouminus__class_Ouminus @t84 @t1)) % 1.85/2.08 (define @t86 () (@var "V_a" $$unsorted)) % 1.85/2.08 (define @t87 () (tptp.c_HOL_Ouminus__class_Ouminus @t86 @t1)) % 1.85/2.08 (define @t88 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t87 @t85 @t1)) % 1.85/2.08 (define @t89 () (tptp.hAPP @t6 @t86)) % 1.85/2.08 (define @t90 () (tptp.hAPP @t89 @t84)) % 1.85/2.08 (define @t91 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 1.85/2.08 (define @t92 () (@list @t1 @t86 @t84)) % 1.85/2.08 (define @t93 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 1.85/2.08 (define @t94 () (= @t17 @t93)) % 1.85/2.08 (define @t95 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 1.85/2.08 (define @t96 () (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t20)) % 1.85/2.08 (define @t97 () (@list @t1 @t21 @t24)) % 1.85/2.08 (define @t98 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 1.85/2.08 (define @t99 () (@var "V_d" $$unsorted)) % 1.85/2.08 (define @t100 () (@var "V_c" $$unsorted)) % 1.85/2.08 (define @t101 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t100 @t99 @t1)) % 1.85/2.08 (define @t102 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t86 @t84 @t1)) % 1.85/2.08 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t102 @t101 @t20)) % 1.85/2.08 (define @t104 () (not @t103)) % 1.85/2.08 (define @t105 () (tptp.c_lessequals @t86 @t84 @t1)) % 1.85/2.08 (define @t106 () (not @t105)) % 1.85/2.08 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t100 @t86 @t1)) % 1.85/2.08 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t84 @t99 @t1)) % 1.85/2.08 (define @t109 () (not (tptp.class_Orderings_Oorder @t1))) % 1.85/2.08 (define @t110 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t17 @t1) @t17)) % 1.85/2.08 (define @t111 () (tptp.hAPP @t27 @t52)) % 1.85/2.08 (define @t112 () (tptp.hAPP @t6 @t14)) % 1.85/2.08 (define @t113 () (tptp.hAPP (tptp.hAPP @t6 @t87) @t85)) % 1.85/2.08 (define @t114 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t84 @t1)) % 1.85/2.08 (define @t115 () (@var "V_times" $$unsorted)) % 1.85/2.08 (define @t116 () (tptp.c_Finite__Set_Ofold1 @t115 @t21 @t1)) % 1.85/2.08 (define @t117 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t115 @t1))) % 1.85/2.08 (define @t118 () (tptp.c_Finite__Set_Ofinite @t21 @t1)) % 1.85/2.08 (define @t119 () (not @t118)) % 1.85/2.08 (define @t120 () (not (tptp.c_Finite__Set_Ofinite @t24 @t1))) % 1.85/2.08 (define @t121 () (= @t24 @t36)) % 1.85/2.08 (define @t122 () (= @t34 @t36)) % 1.85/2.08 (define @t123 () (not @t122)) % 1.85/2.08 (define @t124 () (@var "V_P" $$unsorted)) % 1.85/2.08 (define @t125 () (tptp.c_Collect @t124 @t1)) % 1.85/2.08 (define @t126 () (tptp.c_in @t5 (tptp.hAPP @t33 @t125) @t1)) % 1.85/2.08 (define @t127 () (not @t126)) % 1.85/2.08 (define @t128 () (tptp.c_in @t5 @t21 @t1)) % 1.85/2.08 (define @t129 () (tptp.c_Set_Ovimage @t59 @t24 @t1 @t41)) % 1.85/2.08 (define @t130 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t24 @t61)) % 1.85/2.08 (define @t131 () (@list @t59 @t21 @t24 @t41 @t1)) % 1.85/2.08 (define @t132 () (tptp.c_Natural_Oevalc @t100)) % 1.85/2.08 (define @t133 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t100)) % 1.85/2.08 (define @t134 () (@list @t100)) % 1.85/2.08 (define @t135 () (tptp.hBOOL (tptp.hAPP @t34 @t5))) % 1.85/2.08 (define @t136 () (not @t135)) % 1.85/2.08 (define @t137 () (tptp.hAPP @t24 @t5)) % 1.85/2.08 (define @t138 () (tptp.hBOOL @t137)) % 1.85/2.08 (define @t139 () (tptp.hAPP @t21 @t5)) % 1.85/2.08 (define @t140 () (tptp.hBOOL @t139)) % 1.85/2.08 (define @t141 () (@list @t21 @t5 @t1 @t24)) % 1.85/2.08 (define @t142 () (tptp.c_Fun_Oinj__on @t59 @t26 @t1 @t41)) % 1.85/2.08 (define @t143 () (not @t142)) % 1.85/2.08 (define @t144 () (tptp.c_Fun_Oinj__on @t59 @t24 @t1 @t41)) % 1.85/2.08 (define @t145 () (@list @t59 @t24 @t1 @t41 @t21)) % 1.85/2.08 (define @t146 () (tptp.c_Fun_Oinj__on @t59 @t21 @t1 @t41)) % 1.85/2.08 (define @t147 () (@list @t59 @t21 @t1 @t41 @t24)) % 1.85/2.08 (define @t148 () (not (tptp.c_lessequals @t24 @t65 @t61))) % 1.85/2.08 (define @t149 () (@var "V_g" $$unsorted)) % 1.85/2.08 (define @t150 () (tptp.c_Map_Omap__add @t149 @t59 @t1 @t41)) % 1.85/2.08 (define @t151 () (@list @t59 @t149 @t1 @t41)) % 1.85/2.08 (define @t152 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 1.85/2.08 (define @t153 () (tptp.c_lessequals @t100 @t86 @t1)) % 1.85/2.08 (define @t154 () (@list @t1 @t100 @t86 @t84 @t99)) % 1.85/2.08 (define @t155 () (tptp.c_lessequals @t84 @t99 @t1)) % 1.85/2.08 (define @t156 () (@list @t1 @t84 @t99 @t86 @t100)) % 1.85/2.08 (define @t157 () (tptp.c_lessequals @t21 @t25 @t20)) % 1.85/2.08 (define @t158 () (tptp.c_lessequals @t66 @t22 @t20)) % 1.85/2.08 (define @t159 () (@list @t21 @t24 @t22 @t1)) % 1.85/2.08 (define @t160 () (tptp.c_HOL_Ouminus__class_Ouminus @t87 @t1)) % 1.85/2.08 (define @t161 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 1.85/2.08 (define @t162 () (@list @t1 @t86)) % 1.85/2.08 (define @t163 () (tptp.c_HOL_Ouminus__class_Ouminus @t85 @t1)) % 1.85/2.08 (define @t164 () (@list @t1 @t84)) % 1.85/2.08 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t5 @t114 @t1)) % 1.85/2.08 (define @t166 () (@list @t1 @t5 @t86 @t84)) % 1.85/2.08 (define @t167 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.85/2.08 (define @t168 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61)) % 1.85/2.08 (define @t169 () (tptp.hAPP (tptp.hAPP @t168 @t21) @t24)) % 1.85/2.08 (define @t170 () (@list @t59 @t41 @t21 @t24 @t1)) % 1.85/2.08 (define @t171 () (@var "V_h" $$unsorted)) % 1.85/2.08 (define @t172 () (tptp.c_Map_Omap__le @t149 @t171 @t1 @t41)) % 1.85/2.08 (define @t173 () (tptp.c_Map_Omap__add @t59 @t149 @t1 @t41)) % 1.85/2.08 (define @t174 () (tptp.c_Map_Omap__le @t59 @t173 @t1 @t41)) % 1.85/2.08 (define @t175 () (not @t174)) % 1.85/2.08 (define @t176 () (tptp.c_Map_Omap__le @t173 @t171 @t1 @t41)) % 1.85/2.08 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t86 @t85 @t1)) % 1.85/2.08 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t84 @t87 @t1)) % 1.85/2.08 (define @t179 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.85/2.08 (define @t180 () (@list @t1 @t84 @t86)) % 1.85/2.08 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t87 @t84 @t1)) % 1.85/2.08 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t85 @t86 @t1)) % 1.85/2.08 (define @t183 () (tptp.c_lessequals @t21 @t24 @t20)) % 1.85/2.08 (define @t184 () (not @t183)) % 1.85/2.08 (define @t185 () (tptp.hAPP @t6 @t3)) % 1.85/2.08 (define @t186 () (tptp.hAPP @t185 @t5)) % 1.85/2.08 (define @t187 () (= @t10 @t186)) % 1.85/2.08 (define @t188 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 1.85/2.08 (define @t189 () (tptp.hAPP @t31 @t21)) % 1.85/2.08 (define @t190 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t1)) % 1.85/2.08 (define @t191 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t2 @t1) @t190)) % 1.85/2.08 (define @t192 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 1.85/2.08 (define @t193 () (= @t190 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t192 @t1))) % 1.85/2.08 (define @t194 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t25 @t20)) % 1.85/2.08 (define @t195 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t22 @t20)) % 1.85/2.08 (define @t196 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t1)) % 1.85/2.08 (define @t197 () (@var "V_y_H" $$unsorted)) % 1.85/2.08 (define @t198 () (@var "V_x_H" $$unsorted)) % 1.85/2.08 (define @t199 () (tptp.c_HOL_Ominus__class_Ominus @t198 @t197 @t1)) % 1.85/2.08 (define @t200 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1)) % 1.85/2.08 (define @t201 () (@var "V_xa" $$unsorted)) % 1.85/2.08 (define @t202 () (tptp.c_Orderings_Obot__class_Obot @t61)) % 1.85/2.08 (define @t203 () (= (tptp.hAPP (tptp.hAPP @t168 @t67) (tptp.c_Set_Oimage @t59 @t77 @t1 @t41)) @t202)) % 1.85/2.08 (define @t204 () (@list @t41 @t59 @t21 @t24 @t1)) % 1.85/2.08 (define @t205 () (not @t146)) % 1.85/2.08 (define @t206 () (not @t144)) % 1.85/2.08 (define @t207 () (@var "V_Q" $$unsorted)) % 1.85/2.08 (define @t208 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t202 @t24 @t41 @t20)) % 1.85/2.08 (define @t209 () (@list @t21 @t41 @t24 @t1)) % 1.85/2.08 (define @t210 () (tptp.c_HOL_Oord__class_Oless @t3 @t5 @t1)) % 1.85/2.08 (define @t211 () (not @t210)) % 1.85/2.08 (define @t212 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1))) % 1.85/2.08 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t2 @t5 @t1)) % 1.85/2.08 (define @t214 () (@list @t1 @t2 @t5 @t3)) % 1.85/2.08 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t21 @t24 @t20)) % 1.85/2.08 (define @t216 () (not @t215)) % 1.85/2.08 (define @t217 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t22 @t20))) % 1.85/2.08 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t21 @t22 @t20)) % 1.85/2.08 (define @t219 () (@list @t21 @t22 @t1 @t24)) % 1.85/2.08 (define @t220 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t1)) % 1.85/2.08 (define @t221 () (not @t220)) % 1.85/2.08 (define @t222 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1))) % 1.85/2.08 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t5 @t2 @t1)) % 1.85/2.08 (define @t224 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.85/2.08 (define @t225 () (@list @t1 @t5 @t2 @t3)) % 1.85/2.08 (define @t226 () (@var "V_F" $$unsorted)) % 1.85/2.08 (define @t227 () (tptp.c_Finite__Set_Ofinite @t226 @t1)) % 1.85/2.08 (define @t228 () (not @t227)) % 1.85/2.08 (define @t229 () (tptp.c_Orderings_Otop__class_Otop @t61)) % 1.85/2.08 (define @t230 () (tptp.hBOOL (tptp.hAPP @t124 @t5))) % 1.85/2.08 (define @t231 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 1.85/2.08 (define @t232 () (@list @t1 @t3 @t2 @t5)) % 1.85/2.08 (define @t233 () (tptp.hAPP @t33 @t22)) % 1.85/2.08 (define @t234 () (tptp.hAPP @t33 @t25)) % 1.85/2.08 (define @t235 () (@list @t1 @t24 @t22 @t21)) % 1.85/2.08 (define @t236 () (@list @t59 @t21 @t1)) % 1.85/2.08 (define @t237 () (@var "V_top" $$unsorted)) % 1.85/2.08 (define @t238 () (@var "V_bot" $$unsorted)) % 1.85/2.08 (define @t239 () (@var "V_sup" $$unsorted)) % 1.85/2.08 (define @t240 () (@var "V_inf" $$unsorted)) % 1.85/2.08 (define @t241 () (@var "V_less" $$unsorted)) % 1.85/2.08 (define @t242 () (@var "V_less__eq" $$unsorted)) % 1.85/2.08 (define @t243 () (@var "V_Sup" $$unsorted)) % 1.85/2.08 (define @t244 () (@var "V_Inf" $$unsorted)) % 1.85/2.08 (define @t245 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t1))) % 1.85/2.08 (define @t246 () (@list @t1 @t21)) % 1.85/2.08 (define @t247 () (tptp.c_Complete__Lattice_OInf__class_OInf @t21 @t1)) % 1.85/2.08 (define @t248 () (tptp.c_Set_Oinsert @t86 @t21 @t1)) % 1.85/2.08 (define @t249 () (@list @t1 @t86 @t21)) % 1.85/2.08 (define @t250 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t24 @t61)) % 1.85/2.08 (define @t251 () (@list @t59 @t21 @t1 @t41)) % 1.85/2.08 (define @t252 () (@list @t59 @t41 @t1)) % 1.85/2.08 (define @t253 () (tptp.c_Complete__Lattice_OSup__class_OSup @t21 @t1)) % 1.85/2.08 (define @t254 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.85/2.08 (define @t255 () (@list @t1 @t24)) % 1.85/2.08 (define @t256 () (@list @t59 @t1 @t41)) % 1.85/2.08 (define @t257 () (@var "V_m2" $$unsorted)) % 1.85/2.08 (define @t258 () (@var "V_m1" $$unsorted)) % 1.85/2.08 (define @t259 () (@var "V_m3" $$unsorted)) % 1.85/2.08 (define @t260 () (tptp.c_Map_Odom @t43 @t1 @t41)) % 1.85/2.08 (define @t261 () (= @t21 @t24)) % 1.85/2.08 (define @t262 () (not (= @t65 @t64))) % 1.85/2.08 (define @t263 () (@var "V_I" $$unsorted)) % 1.85/2.08 (define @t264 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t263 @t21 @t1 @t61)) % 1.85/2.08 (define @t265 () (= (tptp.c_Set_Oimage @t59 @t34 @t1 @t41) (tptp.hAPP (tptp.hAPP @t168 @t65) @t64))) % 1.85/2.08 (define @t266 () (tptp.c_lessequals @t22 @t21 @t20)) % 1.85/2.08 (define @t267 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t22 @t20) @t234)) % 1.85/2.08 (define @t268 () (not @t266)) % 1.85/2.08 (define @t269 () (tptp.c_Map_Omap__add @t258 @t257 @t1 @t41)) % 1.85/2.08 (define @t270 () (tptp.hAPP @t115 @t84)) % 1.85/2.08 (define @t271 () (tptp.hAPP @t115 @t86)) % 1.85/2.08 (define @t272 () (tptp.hAPP @t271 (tptp.hAPP @t270 @t100))) % 1.85/2.08 (define @t273 () (tptp.hAPP @t271 @t84)) % 1.85/2.08 (define @t274 () (@list @t115 @t86 @t84 @t100 @t1)) % 1.85/2.08 (define @t275 () (= @t5 @t3)) % 1.85/2.08 (define @t276 () (tptp.hAPP @t59 @t5)) % 1.85/2.08 (define @t277 () (not (= @t276 (tptp.hAPP @t59 @t3)))) % 1.85/2.08 (define @t278 () (@list @t59 @t5 @t3 @t1 @t41)) % 1.85/2.08 (define @t279 () (tptp.hBOOL (tptp.hAPP @t26 @t5))) % 1.85/2.08 (define @t280 () (not @t138)) % 1.85/2.08 (define @t281 () (@list @t21 @t24 @t1 @t5)) % 1.85/2.08 (define @t282 () (not @t140)) % 1.85/2.08 (define @t283 () (tptp.hAPP @t185 @t2)) % 1.85/2.08 (define @t284 () (tptp.hAPP @t7 @t283)) % 1.85/2.08 (define @t285 () (= (tptp.hAPP (tptp.hAPP @t6 @t10) @t2) @t284)) % 1.85/2.08 (define @t286 () (= @t284 (tptp.hAPP @t185 @t9))) % 1.85/2.08 (define @t287 () (tptp.hAPP @t33 @t32)) % 1.85/2.08 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t86 @t84 @t1)) % 1.85/2.08 (define @t289 () (not @t288)) % 1.85/2.08 (define @t290 () (tptp.c_HOL_Oord__class_Oless @t85 @t87 @t1)) % 1.85/2.08 (define @t291 () (not (= (tptp.hAPP (tptp.hAPP @t6 @t21) @t24) @t16))) % 1.85/2.08 (define @t292 () (= @t173 @t150)) % 1.85/2.08 (define @t293 () (tptp.c_HOL_Ominus__class_Ominus @t233 @t32 @t20)) % 1.85/2.08 (define @t294 () (tptp.hAPP @t27 @t66)) % 1.85/2.08 (define @t295 () (tptp.c_Set_Oimage @t59 @t229 @t41 @t1)) % 1.85/2.08 (define @t296 () (tptp.c_Set_Ovimage @t59 @t21 @t41 @t1)) % 1.85/2.08 (define @t297 () (tptp.c_Set_Oimage @t59 @t296 @t41 @t1)) % 1.85/2.08 (define @t298 () (tptp.hAPP (tptp.hAPP @t6 @t17) @t192)) % 1.85/2.08 (define @t299 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t283 @t1)) % 1.85/2.08 (define @t300 () (@list @t5 @t1)) % 1.85/2.08 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t5 @t5 @t1)) % 1.85/2.08 (define @t302 () (not @t301)) % 1.85/2.08 (define @t303 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.85/2.08 (define @t304 () (tptp.c_in @t100 @t21 @t1)) % 1.85/2.08 (define @t305 () (not @t304)) % 1.85/2.08 (define @t306 () (tptp.c_in @t100 @t24 @t1)) % 1.85/2.08 (define @t307 () (not @t306)) % 1.85/2.08 (define @t308 () (tptp.c_in @t100 @t34 @t1)) % 1.85/2.08 (define @t309 () (tptp.c_in @t100 @t26 @t1)) % 1.85/2.08 (define @t310 () (@list @t100 @t21 @t24 @t1)) % 1.85/2.08 (define @t311 () (@list @t100 @t24 @t1 @t21)) % 1.85/2.08 (define @t312 () (tptp.c_in @t100 @t66 @t1)) % 1.85/2.08 (define @t313 () (not @t312)) % 1.85/2.08 (define @t314 () (@list @t100 @t21 @t1 @t24)) % 1.85/2.08 (define @t315 () (tptp.c_in @t100 @t52 @t1)) % 1.85/2.08 (define @t316 () (@list @t100 @t21 @t1)) % 1.85/2.08 (define @t317 () (not @t308)) % 1.85/2.08 (define @t318 () (not @t128)) % 1.85/2.08 (define @t319 () (not (tptp.c_in @t3 @t21 @t1))) % 1.85/2.08 (define @t320 () (@list @t59 @t5 @t3 @t21 @t1 @t41)) % 1.85/2.08 (define @t321 () (= @t5 @t201)) % 1.85/2.08 (define @t322 () (not (tptp.c_in @t201 @t21 @t1))) % 1.85/2.08 (define @t323 () (tptp.hBOOL (tptp.hAPP @t124 @t86))) % 1.85/2.08 (define @t324 () (tptp.c_in @t86 @t125 @t1)) % 1.85/2.08 (define @t325 () (not (tptp.c_in @t5 @t21 @t41))) % 1.85/2.08 (define @t326 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t24 @t41 @t20)) % 1.85/2.08 (define @t327 () (tptp.c_in @t86 @t21 @t1)) % 1.85/2.08 (define @t328 () (not @t327)) % 1.85/2.08 (define @t329 () (tptp.hAPP @t24 @t86)) % 1.85/2.08 (define @t330 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t24 @t1 @t61)) % 1.85/2.08 (define @t331 () (tptp.hAPP @t59 @t86)) % 1.85/2.08 (define @t332 () (tptp.c_in @t331 @t24 @t41)) % 1.85/2.08 (define @t333 () (tptp.c_in @t86 @t129 @t1)) % 1.85/2.08 (define @t334 () (tptp.c_Set_Ovimage @t59 @t24 @t41 @t1)) % 1.85/2.08 (define @t335 () (@list @t59 @t86 @t24 @t41 @t1)) % 1.85/2.08 (define @t336 () (tptp.hAPP @t244 @t21)) % 1.85/2.08 (define @t337 () (tptp.hAPP @t243 @t21)) % 1.85/2.08 (define @t338 () (tptp.hBOOL (tptp.hAPP @t330 @t84))) % 1.85/2.08 (define @t339 () (tptp.c_lessequals @t5 @t3 @t1)) % 1.85/2.08 (define @t340 () (not @t339)) % 1.85/2.08 (define @t341 () (= @t86 @t84)) % 1.85/2.08 (define @t342 () (not (tptp.c_lessequals @t84 @t86 @t1))) % 1.85/2.08 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t84 @t86 @t1)) % 1.85/2.08 (define @t344 () (tptp.c_lessequals @t197 @t198 @t1)) % 1.85/2.08 (define @t345 () (tptp.c_lessequals @t3 @t5 @t1)) % 1.85/2.08 (define @t346 () (not (= @t196 @t199))) % 1.85/2.08 (define @t347 () (@list @t1 @t5 @t3 @t198 @t197)) % 1.85/2.08 (define @t348 () (not @t345)) % 1.85/2.08 (define @t349 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.85/2.08 (define @t350 () (not @t349)) % 1.85/2.08 (define @t351 () (not (tptp.c_lessequals @t2 @t3 @t1))) % 1.85/2.08 (define @t352 () (tptp.c_lessequals @t114 @t5 @t1)) % 1.85/2.08 (define @t353 () (not @t352)) % 1.85/2.08 (define @t354 () (tptp.c_lessequals @t86 @t5 @t1)) % 1.85/2.08 (define @t355 () (tptp.c_lessequals @t84 @t5 @t1)) % 1.85/2.08 (define @t356 () (tptp.c_lessequals @t5 @t86 @t1)) % 1.85/2.08 (define @t357 () (not @t356)) % 1.85/2.08 (define @t358 () (tptp.c_lessequals @t5 @t114 @t1)) % 1.85/2.08 (define @t359 () (tptp.c_lessequals @t5 @t84 @t1)) % 1.85/2.08 (define @t360 () (not @t359)) % 1.85/2.08 (define @t361 () (tptp.c_lessequals @t17 @t2 @t1)) % 1.85/2.08 (define @t362 () (not @t361)) % 1.85/2.08 (define @t363 () (tptp.c_lessequals @t5 @t2 @t1)) % 1.85/2.08 (define @t364 () (@var "V_X" $$unsorted)) % 1.85/2.08 (define @t365 () (tptp.hAPP @t59 @t364)) % 1.85/2.08 (define @t366 () (tptp.c_lessequals @t10 @t5 @t1)) % 1.85/2.08 (define @t367 () (tptp.c_lessequals @t10 @t3 @t1)) % 1.85/2.08 (define @t368 () (tptp.c_lessequals @t5 @t90 @t1)) % 1.85/2.08 (define @t369 () (not @t363)) % 1.85/2.08 (define @t370 () (tptp.c_lessequals @t5 @t283 @t1)) % 1.85/2.08 (define @t371 () (= @t17 @t3)) % 1.85/2.08 (define @t372 () (not @t371)) % 1.85/2.08 (define @t373 () (or @t95 @t372 @t339)) % 1.85/2.08 (define @t374 () (forall @t19 @t373)) % 1.85/2.08 (define @t375 () (tptp.c_lessequals @t85 @t87 @t1)) % 1.85/2.08 (define @t376 () (tptp.c_lessequals @t5 @t5 @t1)) % 1.85/2.08 (define @t377 () (@list @t1 @t3 @t5)) % 1.85/2.08 (define @t378 () (= @t10 @t5)) % 1.85/2.08 (define @t379 () (not @t354)) % 1.85/2.08 (define @t380 () (not @t355)) % 1.85/2.08 (define @t381 () (@list @t1 @t86 @t84 @t5)) % 1.85/2.08 (define @t382 () (tptp.c_lessequals @t5 @t17 @t1)) % 1.85/2.08 (define @t383 () (tptp.c_lessequals @t3 @t17 @t1)) % 1.85/2.08 (define @t384 () (tptp.c_lessequals @t2 @t5 @t1)) % 1.85/2.08 (define @t385 () (not @t368)) % 1.85/2.08 (define @t386 () (tptp.c_lessequals @t90 @t5 @t1)) % 1.85/2.08 (define @t387 () (not @t370)) % 1.85/2.08 (define @t388 () (tptp.c_lessequals @t86 @t85 @t1)) % 1.85/2.08 (define @t389 () (tptp.c_lessequals @t84 @t87 @t1)) % 1.85/2.08 (define @t390 () (tptp.c_lessequals @t87 @t84 @t1)) % 1.85/2.08 (define @t391 () (tptp.c_lessequals @t85 @t86 @t1)) % 1.85/2.08 (define @t392 () (tptp.c_in @t100 @t21 @t41)) % 1.85/2.08 (define @t393 () (tptp.c_COMBK @t100 @t41 @t1)) % 1.85/2.08 (define @t394 () (tptp.c_Set_Ovimage @t393 @t21 @t1 @t41)) % 1.85/2.08 (define @t395 () (@list @t100 @t41 @t1 @t21)) % 1.85/2.08 (define @t396 () (tptp.c_in @t331 @t65 @t41)) % 1.85/2.08 (define @t397 () (@list @t59 @t86 @t21 @t1 @t41)) % 1.85/2.08 (define @t398 () (not @t343)) % 1.85/2.08 (define @t399 () (= @t102 @t36)) % 1.85/2.08 (define @t400 () (@list @t21 @t1 @t24)) % 1.85/2.08 (define @t401 () (not @t153)) % 1.85/2.08 (define @t402 () (not @t155)) % 1.85/2.08 (define @t403 () (tptp.c_lessequals @t100 @t99 @t1)) % 1.85/2.08 (define @t404 () (not @t403)) % 1.85/2.08 (define @t405 () (@list @t1 @t86 @t84 @t100 @t99)) % 1.85/2.08 (define @t406 () (@var "V_xo" $$unsorted)) % 1.85/2.08 (define @t407 () (tptp.c_Option_Oset @t406 @t1)) % 1.85/2.08 (define @t408 () (@var "V_t" $$unsorted)) % 1.85/2.08 (define @t409 () (@var "V_s" $$unsorted)) % 1.85/2.08 (define @t410 () (tptp.hAPP @t132 @t409)) % 1.85/2.08 (define @t411 () (@var "V_u" $$unsorted)) % 1.85/2.08 (define @t412 () (not (tptp.c_Map_Omap__le @t59 @t149 @t1 @t41))) % 1.85/2.08 (define @t413 () (tptp.c_HOL_Oord__class_Oless @t90 @t5 @t1)) % 1.85/2.08 (define @t414 () (@var "V_fun1_H" $$unsorted)) % 1.85/2.08 (define @t415 () (@var "V_fun1" $$unsorted)) % 1.85/2.08 (define @t416 () (@var "V_fun2_H" $$unsorted)) % 1.85/2.08 (define @t417 () (@var "V_com_H" $$unsorted)) % 1.85/2.08 (define @t418 () (@var "V_fun2" $$unsorted)) % 1.85/2.08 (define @t419 () (@var "V_com" $$unsorted)) % 1.85/2.08 (define @t420 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t415 @t419 @t418 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t414 @t417 @t416 @t1)))) % 1.85/2.08 (define @t421 () (@list @t415 @t419 @t418 @t1 @t414 @t417 @t416)) % 1.85/2.08 (define @t422 () (tptp.c_Finite__Set_Ofinite @t52 @t1)) % 1.85/2.08 (define @t423 () (= @t46 @t39)) % 1.85/2.08 (define @t424 () (not @t45)) % 1.85/2.08 (define @t425 () (@list @t43 @t42 @t41 @t1 @t40 @t5)) % 1.85/2.08 (define @t426 () (@list @t21 @t1 @t24 @t22)) % 1.85/2.08 (define @t427 () (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t20)) % 1.85/2.08 (define @t428 () (= (tptp.hAPP @t7 @t10) @t10)) % 1.85/2.08 (define @t429 () (not @t230)) % 1.85/2.08 (define @t430 () (tptp.hBOOL (tptp.hAPP @t60 @t5))) % 1.85/2.08 (define @t431 () (tptp.hBOOL (tptp.hAPP @t21 @t276))) % 1.85/2.08 (define @t432 () (tptp.c_fequal @t1)) % 1.85/2.08 (define @t433 () (tptp.hAPP @t432 @t5)) % 1.85/2.08 (define @t434 () (= (tptp.c_Finite__Set_Ocard @t65 @t41) @t75)) % 1.85/2.08 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t198 @t197 @t1)) % 1.85/2.08 (define @t436 () (tptp.c_Set_Oinsert @t5 @t24 @t1)) % 1.85/2.08 (define @t437 () (tptp.c_HOL_Oord__class_Oless @t21 @t436 @t20)) % 1.85/2.08 (define @t438 () (not @t437)) % 1.85/2.08 (define @t439 () (tptp.c_in @t5 @t24 @t1)) % 1.85/2.08 (define @t440 () (tptp.c_Set_Oinsert @t5 @t36 @t1)) % 1.85/2.08 (define @t441 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t440 @t20)) % 1.85/2.08 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t441 @t24 @t20)) % 1.85/2.08 (define @t443 () (not @t442)) % 1.85/2.08 (define @t444 () (@list @t21 @t5 @t24 @t1)) % 1.85/2.08 (define @t445 () (tptp.c_lessequals @t65 @t24 @t61)) % 1.85/2.08 (define @t446 () (tptp.c_Finite__Set_Ofinite @t24 @t41)) % 1.85/2.08 (define @t447 () (@var "V_i" $$unsorted)) % 1.85/2.08 (define @t448 () (@list @t1 @t21 @t5)) % 1.85/2.08 (define @t449 () (@list @t1 @t5 @t21)) % 1.85/2.08 (define @t450 () (= @t137 @t36)) % 1.85/2.08 (define @t451 () (not @t439)) % 1.85/2.08 (define @t452 () (@list @t5 @t24 @t1 @t21)) % 1.85/2.08 (define @t453 () (tptp.c_Finite__Set_Ofold1 @t6 @t21 @t1)) % 1.85/2.08 (define @t454 () (= @t36 @t102)) % 1.85/2.08 (define @t455 () (tptp.c_Set_Oinsert @t5 @t21 @t1)) % 1.85/2.08 (define @t456 () (tptp.c_HOL_Ominus__class_Ominus @t455 @t24 @t20)) % 1.85/2.08 (define @t457 () (@list @t5 @t21 @t1 @t24)) % 1.85/2.08 (define @t458 () (tptp.c_in @t86 @t22 @t1)) % 1.85/2.08 (define @t459 () (tptp.c_Set_Oinsert @t86 @t24 @t1)) % 1.85/2.08 (define @t460 () (tptp.hAPP (tptp.hAPP @t27 @t459) @t22)) % 1.85/2.08 (define @t461 () (@list @t1 @t86 @t24 @t22)) % 1.85/2.08 (define @t462 () (tptp.hAPP @t33 @t459)) % 1.85/2.08 (define @t463 () (@list @t1 @t21 @t86 @t24)) % 1.85/2.08 (define @t464 () (tptp.c_Set_Oinsert @t86 @t34 @t1)) % 1.85/2.08 (define @t465 () (not (tptp.c_in @t86 @t364 @t1))) % 1.85/2.08 (define @t466 () (@list @t21 @t5 @t1)) % 1.85/2.08 (define @t467 () (tptp.c_lessequals @t102 @t101 @t20)) % 1.85/2.08 (define @t468 () (not @t467)) % 1.85/2.08 (define @t469 () (not (tptp.c_lessequals @t226 @t21 @t20))) % 1.85/2.08 (define @t470 () (not (tptp.hBOOL (tptp.hAPP @t124 @t36)))) % 1.85/2.08 (define @t471 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 @t21 @t124 @t1)) % 1.85/2.08 (define @t472 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 @t21 @t124 @t1)) % 1.85/2.08 (define @t473 () (tptp.hBOOL (tptp.hAPP @t124 @t226))) % 1.85/2.08 (define @t474 () (@list @t124 @t226 @t21 @t1)) % 1.85/2.08 (define @t475 () (tptp.c_Fun_Oinj__on @t59 @t248 @t1 @t41)) % 1.85/2.08 (define @t476 () (not @t475)) % 1.85/2.08 (define @t477 () (tptp.c_Set_Oinsert @t86 @t36 @t1)) % 1.85/2.08 (define @t478 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t477 @t20)) % 1.85/2.08 (define @t479 () (tptp.c_in @t331 (tptp.c_Set_Oimage @t59 @t478 @t1 @t41) @t41)) % 1.85/2.08 (define @t480 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t24 @t1) @t15))) % 1.85/2.08 (define @t481 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 1.85/2.08 (define @t482 () (@var "V_G" $$unsorted)) % 1.85/2.08 (define @t483 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t226 @t482 @t20) @t1)) % 1.85/2.08 (define @t484 () (not @t483)) % 1.85/2.08 (define @t485 () (tptp.c_Finite__Set_Ofinite @t482 @t1)) % 1.85/2.08 (define @t486 () (not @t485)) % 1.85/2.08 (define @t487 () (tptp.c_Finite__Set_Ofinite @t66 @t1)) % 1.85/2.08 (define @t488 () (not @t487)) % 1.85/2.08 (define @t489 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t27 @t226) @t482) @t1)) % 1.85/2.08 (define @t490 () (@list @t1 @t226 @t482)) % 1.85/2.08 (define @t491 () (not (= @t26 @t36))) % 1.85/2.08 (define @t492 () (tptp.c_Set_Oinsert @t86 @t24 @t41)) % 1.85/2.08 (define @t493 () (tptp.c_Set_Oinsert @t84 @t36 @t1)) % 1.85/2.08 (define @t494 () (tptp.c_Set_Oinsert @t86 @t493 @t1)) % 1.85/2.08 (define @t495 () (tptp.c_lessequals @t21 @t96 @t20)) % 1.85/2.08 (define @t496 () (tptp.hAPP @t240 @t86)) % 1.85/2.08 (define @t497 () (tptp.hAPP @t239 @t86)) % 1.85/2.08 (define @t498 () (@list @t21 @t86 @t24 @t1)) % 1.85/2.08 (define @t499 () (tptp.tc_fun @t1 @t41)) % 1.85/2.08 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t59 @t149 @t499)) % 1.85/2.08 (define @t501 () (not @t500)) % 1.85/2.08 (define @t502 () (tptp.c_lessequals @t59 @t149 @t499)) % 1.85/2.08 (define @t503 () (not (tptp.class_HOL_Oord @t41))) % 1.85/2.08 (define @t504 () (@list @t41 @t59 @t149 @t1)) % 1.85/2.08 (define @t505 () (not @t502)) % 1.85/2.08 (define @t506 () (tptp.c_lessequals @t149 @t59 @t499)) % 1.85/2.08 (define @t507 () (tptp.c_lessequals @t24 @t22 @t20)) % 1.85/2.08 (define @t508 () (not @t507)) % 1.85/2.08 (define @t509 () (tptp.c_lessequals @t21 @t22 @t20)) % 1.85/2.08 (define @t510 () (not @t509)) % 1.85/2.08 (define @t511 () (@var "V_D" $$unsorted)) % 1.85/2.08 (define @t512 () (not (tptp.c_lessequals @t24 @t511 @t20))) % 1.85/2.08 (define @t513 () (tptp.c_lessequals @t26 @t22 @t20)) % 1.85/2.08 (define @t514 () (not @t513)) % 1.85/2.08 (define @t515 () (tptp.c_lessequals @t22 @t24 @t20)) % 1.85/2.08 (define @t516 () (tptp.c_lessequals @t22 @t34 @t20)) % 1.85/2.08 (define @t517 () (@list @t21 @t24 @t1 @t22 @t511)) % 1.85/2.08 (define @t518 () (= @t26 @t24)) % 1.85/2.08 (define @t519 () (tptp.c_lessequals @t24 @t21 @t20)) % 1.85/2.08 (define @t520 () (not @t519)) % 1.85/2.08 (define @t521 () (tptp.c_lessequals @t52 @t96 @t20)) % 1.85/2.08 (define @t522 () (@list @t59 @t21 @t41 @t1 @t24)) % 1.85/2.08 (define @t523 () (not @t516)) % 1.85/2.08 (define @t524 () (not (tptp.c_Fun_Oinj__on @t59 @t22 @t1 @t41))) % 1.85/2.08 (define @t525 () (tptp.c_lessequals @t65 @t64 @t61)) % 1.85/2.08 (define @t526 () (tptp.c_Set_Oimage @t59 @t24 @t41 @t1)) % 1.85/2.08 (define @t527 () (tptp.c_Set_Oimage @t59 @t21 @t41 @t1)) % 1.85/2.08 (define @t528 () (tptp.c_Map_Odom @t59 @t41 @t1)) % 1.85/2.08 (define @t529 () (@var "V_a_H" $$unsorted)) % 1.85/2.08 (define @t530 () (tptp.c_Option_Ooption_OSome @t529 @t1)) % 1.85/2.08 (define @t531 () (tptp.c_Option_Ooption_OSome @t3 @t1)) % 1.85/2.08 (define @t532 () (@var "V_xx" $$unsorted)) % 1.85/2.08 (define @t533 () (tptp.c_Option_Ooption_OSome @t532 @t1)) % 1.85/2.08 (define @t534 () (@var "V_ts" $$unsorted)) % 1.85/2.08 (define @t535 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t534 @t1)) % 1.85/2.08 (define @t536 () (not @t535)) % 1.85/2.08 (define @t537 () (@list @t482 @t534 @t1)) % 1.85/2.08 (define @t538 () (@var "T_c" $$unsorted)) % 1.85/2.08 (define @t539 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t459 @t20)) % 1.85/2.08 (define @t540 () (tptp.c_Finite__Set_Ofinite @t539 @t1)) % 1.85/2.08 (define @t541 () (@list @t86 @t21 @t1)) % 1.85/2.08 (define @t542 () (tptp.c_Set_Oinsert @t86 @t478 @t1)) % 1.85/2.08 (define @t543 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t440 @t1)) % 1.85/2.08 (define @t544 () (tptp.c_COMBK @t100 @t1 @t41)) % 1.85/2.08 (define @t545 () (not (tptp.c_lessequals @t24 @t527 @t20))) % 1.85/2.08 (define @t546 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t21 @t24 @t59 @t41 @t1)) % 1.85/2.08 (define @t547 () (@list @t24 @t59 @t21 @t41 @t1)) % 1.85/2.08 (define @t548 () (@list @t21 @t24 @t59 @t41 @t1)) % 1.85/2.08 (define @t549 () (tptp.hAPP @t43 @t86)) % 1.85/2.08 (define @t550 () (not (= @t549 (tptp.c_Option_Ooption_OSome @t84 @t1)))) % 1.85/2.08 (define @t551 () (@list @t43 @t86 @t84 @t1 @t41)) % 1.85/2.08 (define @t552 () (tptp.c_Option_Oset @t39 @t1)) % 1.85/2.08 (define @t553 () (@var "V_l2" $$unsorted)) % 1.85/2.08 (define @t554 () (tptp.c_in @t43 (tptp.c_Map_Odom @t553 @t1 @t41) @t1)) % 1.85/2.08 (define @t555 () (@var "V_l1" $$unsorted)) % 1.85/2.08 (define @t556 () (tptp.hAPP (tptp.c_Map_Omap__add @t555 @t553 @t1 @t41) @t43)) % 1.85/2.08 (define @t557 () (= @t556 (tptp.hAPP @t553 @t43))) % 1.85/2.08 (define @t558 () (@list @t555 @t553 @t1 @t41 @t43)) % 1.85/2.08 (define @t559 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 1.85/2.08 (define @t560 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 1.85/2.08 (define @t561 () (tptp.c_in @t86 @t260 @t1)) % 1.85/2.08 (define @t562 () (not @t561)) % 1.85/2.08 (define @t563 () (= @t549 (tptp.c_Option_Ooption_ONone @t41))) % 1.85/2.08 (define @t564 () (@var "V_l" $$unsorted)) % 1.85/2.08 (define @t565 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t124)) % 1.85/2.08 (define @t566 () (tptp.hAPP tptp.c_Com_Obody @t124)) % 1.85/2.08 (define @t567 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 1.85/2.08 (define @t568 () (tptp.tc_fun @t567 tptp.tc_bool)) % 1.85/2.08 (define @t569 () (tptp.c_Orderings_Obot__class_Obot @t568)) % 1.85/2.08 (define @t570 () (tptp.c_Set_Oinsert @t133 @t569 @t567)) % 1.85/2.08 (define @t571 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t569 @t570 tptp.tc_Com_Ostate)) % 1.85/2.08 (define @t572 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t124 @t100 @t207 tptp.tc_Com_Ostate) @t569 @t567)) % 1.85/2.08 (define @t573 () (tptp.c_Finite__Set_Olinorder__class_OMin @t21 @t1)) % 1.85/2.08 (define @t574 () (tptp.c_Finite__Set_Olinorder__class_OMax @t21 @t1)) % 1.85/2.08 (define @t575 () (@list @t5 @t21 @t1)) % 1.85/2.08 (define @t576 () (@var "T_aa" $$unsorted)) % 1.85/2.08 (define @t577 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t21 @t24 @t59 @t1 @t41)) % 1.85/2.08 (define @t578 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t21 @t24 @t59 @t41 @t1)) % 1.85/2.08 (define @t579 () (tptp.c_lessequals @t527 @t24 @t20)) % 1.85/2.08 (define @t580 () (tptp.c_Set_Oimage @t149 @t364 @t1 @t41)) % 1.85/2.08 (define @t581 () (tptp.c_lessequals @t441 @t24 @t20)) % 1.85/2.08 (define @t582 () (not @t581)) % 1.85/2.08 (define @t583 () (tptp.c_lessequals @t21 @t436 @t20)) % 1.85/2.08 (define @t584 () (= @t21 @t202)) % 1.85/2.08 (define @t585 () (tptp.c_Set_Oimage @t59 @t21 @t1 @t1)) % 1.85/2.08 (define @t586 () (tptp.c_Fun_Oinj__on @t59 @t21 @t1 @t1)) % 1.85/2.08 (define @t587 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t21 @t24 @t59 @t41 @t1)) % 1.85/2.08 (define @t588 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 1.85/2.08 (define @t589 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 1.85/2.08 (define @t590 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t482)) % 1.85/2.08 (define @t591 () (tptp.c_in @t590 @t588 tptp.tc_Com_Opname)) % 1.85/2.08 (define @t592 () (not (tptp.c_Com_OWT @t100))) % 1.85/2.08 (define @t593 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t570 tptp.tc_Com_Ostate)) % 1.85/2.08 (define @t594 () (or @t593 @t592 @t591 @t589)) % 1.85/2.08 (define @t595 () (@list @t482 @t100)) % 1.85/2.08 (define @t596 () (forall @t595 @t594)) % 1.85/2.08 (define @t597 () (@var "V_s1" $$unsorted)) % 1.85/2.08 (define @t598 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 1.85/2.08 (define @t599 () (@var "V_s0" $$unsorted)) % 1.85/2.08 (define @t600 () (@var "V_pn" $$unsorted)) % 1.85/2.08 (define @t601 () (tptp.hAPP tptp.c_Com_Obody @t600)) % 1.85/2.08 (define @t602 () (tptp.hAPP @t598 @t601)) % 1.85/2.08 (define @t603 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t600)) % 1.85/2.08 (define @t604 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t590)) @t569 @t567) tptp.tc_Com_Ostate))) % 1.85/2.08 (define @t605 () (or @t593 @t592 @t604 @t589)) % 1.85/2.08 (define @t606 () (forall @t595 @t605)) % 1.85/2.08 (define @t607 () (@var "V_N" $$unsorted)) % 1.85/2.08 (define @t608 () (not (tptp.c_lessequals @t71 @t607 @t20))) % 1.85/2.08 (define @t609 () (= @t71 @t36)) % 1.85/2.08 (define @t610 () (not (tptp.c_Finite__Set_Ofinite @t607 @t1))) % 1.85/2.08 (define @t611 () (not @t583)) % 1.85/2.08 (define @t612 () (tptp.c_Com_OWT @t84)) % 1.85/2.08 (define @t613 () (not tptp.c_Com_OWT__bodies)) % 1.85/2.08 (define @t614 () (not (= @t601 (tptp.c_Option_Ooption_OSome @t84 tptp.tc_Com_Ocom)))) % 1.85/2.08 (define @t615 () (or @t614 @t613 @t612)) % 1.85/2.08 (define @t616 () (@list @t600 @t84)) % 1.85/2.08 (define @t617 () (forall @t616 @t615)) % 1.85/2.08 (define @t618 () (@var "V_Procs" $$unsorted)) % 1.85/2.08 (define @t619 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB @t598 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom @t567 tptp.tc_Com_Opname)) % 1.85/2.08 (define @t620 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t567 tptp.tc_Com_Opname)) % 1.85/2.08 (define @t621 () (tptp.c_Set_Oimage @t620 @t618 tptp.tc_Com_Opname @t567)) % 1.85/2.08 (define @t622 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 1.85/2.08 (define @t623 () (tptp.tc_fun @t622 tptp.tc_bool)) % 1.85/2.08 (define @t624 () (tptp.c_Orderings_Obot__class_Obot @t623)) % 1.85/2.08 (define @t625 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t124 @t602 @t207 @t1) @t624 @t622)) % 1.85/2.08 (define @t626 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t124 @t603 @t207 @t1)) % 1.85/2.08 (define @t627 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 (tptp.c_Set_Oinsert @t626 @t624 @t622) @t1)) % 1.85/2.08 (define @t628 () (@list @t482 @t124 @t600 @t207 @t1)) % 1.85/2.08 (define @t629 () (@list @t5 @t21 @t41 @t59 @t1)) % 1.85/2.08 (define @t630 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 (tptp.c_Set_Oinsert @t408 @t624 @t622) @t1)) % 1.85/2.08 (define @t631 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 (tptp.c_Set_Oinsert @t408 @t534 @t622) @t1)) % 1.85/2.08 (define @t632 () (not @t631)) % 1.85/2.08 (define @t633 () (tptp.c_in @t86 (tptp.c_Set_Oinsert @t84 @t21 @t1) @t1)) % 1.85/2.08 (define @t634 () (tptp.c_Set_Oinsert @t84 @t24 @t1)) % 1.85/2.08 (define @t635 () (@var "V_ts_H" $$unsorted)) % 1.85/2.08 (define @t636 () (not (tptp.c_lessequals @t124 @t207 @t20))) % 1.85/2.08 (define @t637 () (tptp.hBOOL (tptp.hAPP @t207 @t5))) % 1.85/2.08 (define @t638 () (@list @t207 @t5 @t124 @t1)) % 1.85/2.08 (define @t639 () (@var "V_G_H" $$unsorted)) % 1.85/2.08 (define @t640 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t639 @t534 @t1))) % 1.85/2.08 (define @t641 () (@list @t482 @t534 @t1 @t639)) % 1.85/2.08 (define @t642 () (forall (@list @t59 @t149 @t21 @t538 @t41 @t1) (= (tptp.c_Set_Oimage @t59 (tptp.c_Set_Oimage @t149 @t21 @t538 @t41) @t41 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t59 @t149 @t41 @t1 @t538) @t21 @t538 @t1)))) % 1.85/2.08 (define @t643 () (tptp.c_lessequals @t455 @t24 @t20)) % 1.85/2.08 (define @t644 () (not (tptp.c_in @t5 @t36 @t1))) % 1.85/2.08 (define @t645 () (@list @t124 @t5 @t1)) % 1.85/2.08 (define @t646 () (= @t84 @t99)) % 1.85/2.08 (define @t647 () (= @t84 @t100)) % 1.85/2.08 (define @t648 () (not (= @t494 (tptp.c_Set_Oinsert @t100 (tptp.c_Set_Oinsert @t99 @t36 @t1) @t1)))) % 1.85/2.08 (define @t649 () (@list @t86 @t84 @t1 @t100 @t99)) % 1.85/2.08 (define @t650 () (= @t86 @t99)) % 1.85/2.08 (define @t651 () (= @t86 @t100)) % 1.85/2.08 (define @t652 () (tptp.c_Finite__Set_Ofinite @t248 @t1)) % 1.85/2.08 (define @t653 () (tptp.c_Set_Oinsert @t3 @t21 @t1)) % 1.85/2.08 (define @t654 () (tptp.hBOOL (tptp.hAPP @t653 @t5))) % 1.85/2.08 (define @t655 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t603)) % 1.85/2.08 (define @t656 () (not @t643)) % 1.85/2.08 (define @t657 () (@var "V_S" $$unsorted)) % 1.85/2.08 (define @t658 () (tptp.hBOOL (tptp.hAPP @t657 @t5))) % 1.85/2.08 (define @t659 () (tptp.c_in @t5 @t657 @t1)) % 1.85/2.08 (define @t660 () (@var "V_R" $$unsorted)) % 1.85/2.08 (define @t661 () (tptp.c_Set_Oimage @t59 @t202 @t41 @t1)) % 1.85/2.08 (define @t662 () (@list @t59 @t5 @t21 @t1 @t41)) % 1.85/2.08 (define @t663 () (@var "V_pname_H" $$unsorted)) % 1.85/2.08 (define @t664 () (@var "V_pname" $$unsorted)) % 1.85/2.08 (define @t665 () (or (= @t248 @t21) @t328)) % 1.85/2.08 (define @t666 () (forall @t541 @t665)) % 1.85/2.08 (define @t667 () (tptp.c_in @t276 @t527 @t1)) % 1.85/2.08 (define @t668 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT tptp.v_y)) % 1.85/2.08 (define @t669 () (= (tptp.hAPP tptp.c_Com_Obody tptp.v_pn) (tptp.c_Option_Ooption_OSome tptp.v_y tptp.tc_Com_Ocom))) % 1.85/2.08 (define @t670 () (tptp.c_Set_Oimage @t620 @t588 tptp.tc_Com_Opname @t567)) % 1.85/2.08 (define @t671 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t670 (tptp.c_Set_Oinsert @t668 @t569 @t567) tptp.tc_Com_Ostate)) % 1.85/2.08 (define @t672 () (@var "T_1" $$unsorted)) % 1.85/2.08 (define @t673 () (@var "T_2" $$unsorted)) % 1.85/2.08 (define @t674 () (tptp.tc_fun @t673 @t672)) % 1.85/2.08 (define @t675 () (@list @t673 @t672)) % 1.85/2.08 (define @t676 () (not (tptp.class_Lattices_Olattice @t672))) % 1.85/2.08 (define @t677 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t672))) % 1.85/2.08 (define @t678 () (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.85/2.08 (define @t679 () (@var "V_Y" $$unsorted)) % 1.85/2.08 (define @t680 () (tptp.c_Set_Oimage tptp.c_Com_Ocom_OBODY @t588 tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 1.85/2.08 (define @t681 () (tptp.c_Set_Oimage tptp.c_Hoare__Mirabelle_OMGT @t680 tptp.tc_Com_Ocom @t567)) % 1.85/2.08 (define @t682 () (= @t681 @t670)) % 1.85/2.08 (define @t683 () (@list tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY @t588 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t567)) % 1.85/2.08 (define @t684 () (= @t670 @t681)) % 1.85/2.08 (define @t685 () (@list false)) % 1.85/2.08 (define @t686 () (@list @t642)) % 1.85/2.08 (define @t687 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t670)) % 1.85/2.08 (define @t688 () (or @t593 @t592 @t591)) % 1.85/2.08 (define @t689 () (forall @t595 @t688)) % 1.85/2.08 (define @t690 () (or @t589 @t688)) % 1.85/2.08 (define @t691 () (@list tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 1.85/2.08 (define @t692 () (@list @t670 tptp.v_y)) % 1.85/2.08 (define @t693 () (or @t614 @t612)) % 1.85/2.08 (define @t694 () (forall @t616 @t693)) % 1.85/2.08 (define @t695 () (or @t613 @t693)) % 1.85/2.08 (define @t696 () (tptp.c_Com_OWT tptp.v_y)) % 1.85/2.08 (define @t697 () (not @t669)) % 1.85/2.08 (define @t698 () (or @t697 @t696)) % 1.85/2.08 (define @t699 () (@list false false)) % 1.85/2.08 (define @t700 () (tptp.c_in @t687 @t588 tptp.tc_Com_Opname)) % 1.85/2.08 (define @t701 () (not @t696)) % 1.85/2.08 (define @t702 () (or @t671 @t701 @t700)) % 1.85/2.08 (define @t703 () (@list true false false)) % 1.85/2.08 (define @t704 () (not @t700)) % 1.85/2.08 (define @t705 () (tptp.c_Set_Oinsert @t687 @t588 tptp.tc_Com_Opname)) % 1.85/2.08 (define @t706 () (= @t588 @t705)) % 1.85/2.08 (define @t707 () (or @t706 @t704)) % 1.85/2.08 (define @t708 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t687)) % 1.85/2.08 (define @t709 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t708)) % 1.85/2.08 (define @t710 () (@list tptp.c_Hoare__Mirabelle_OMGT @t708 @t680 tptp.tc_Com_Ocom @t567)) % 1.85/2.08 (define @t711 () (tptp.c_Set_Oinsert @t709 @t569 @t567)) % 1.85/2.08 (define @t712 () (or @t593 @t592 @t604)) % 1.85/2.08 (define @t713 () (forall @t595 @t712)) % 1.85/2.08 (define @t714 () (or @t589 @t712)) % 1.85/2.08 (define @t715 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t670 @t711 tptp.tc_Com_Ostate)) % 1.85/2.08 (define @t716 () (not @t715)) % 1.85/2.08 (define @t717 () (or @t671 @t701 @t716)) % 1.85/2.08 (define @t718 () (tptp.c_lessequals @t711 @t670 @t568)) % 1.85/2.08 (define @t719 () (not @t718)) % 1.85/2.08 (define @t720 () (or @t715 @t719)) % 1.85/2.08 (define @t721 () (not @t678)) % 1.85/2.08 (define @t722 () (tptp.class_Lattices_Oupper__semilattice @t568)) % 1.85/2.08 (define @t723 () (or @t722 @t721)) % 1.85/2.08 (define @t724 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t711 @t670 @t568)) % 1.85/2.08 (define @t725 () (= @t670 @t724)) % 1.85/2.08 (define @t726 () (not @t725)) % 1.85/2.08 (define @t727 () (not @t722)) % 1.85/2.08 (define @t728 () (or @t727 @t726 @t718)) % 1.85/2.08 (define @t729 () (tptp.c_Set_Oinsert @t709 @t681 @t567)) % 1.85/2.08 (define @t730 () (tptp.c_Set_Oinsert @t708 @t680 tptp.tc_Com_Ocom)) % 1.85/2.08 (define @t731 () (= (tptp.c_Set_Oimage tptp.c_Hoare__Mirabelle_OMGT @t730 tptp.tc_Com_Ocom @t567) @t729)) % 1.85/2.08 (define @t732 () (not @t731)) % 1.85/2.08 (define @t733 () (= (tptp.c_Set_Oimage tptp.c_Com_Ocom_OBODY @t705 tptp.tc_Com_Opname tptp.tc_Com_Ocom) @t730)) % 1.85/2.08 (define @t734 () (not @t733)) % 1.85/2.08 (define @t735 () (tptp.c_Set_Oinsert @t709 @t670 @t567)) % 1.85/2.08 (define @t736 () (= @t735 @t724)) % 1.85/2.08 (define @t737 () (not @t736)) % 1.85/2.08 (define @t738 () (not @t706)) % 1.85/2.08 (define @t739 () (not @t684)) % 1.85/2.08 (define @t740 () (= @t670 @t735)) % 1.85/2.08 (define @t741 () (and @t684 @t740 @t736 @t726)) % 1.85/2.08 (assume @p1 (forall @t13 (or @t12 (tptp.c_lessequals @t11 @t8 @t1)))) % 1.85/2.08 (assume @p2 (forall @t19 (or @t18 (not (= @t17 @t16)) (not (= @t10 @t15)) (= @t14 @t3)))) % 1.85/2.08 (assume @p3 (forall @t35 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t32 @t20) @t30 @t20) (tptp.hAPP (tptp.hAPP @t27 (tptp.hAPP @t28 @t25)) @t23)))) % 1.85/2.08 (assume @p4 (forall @t38 (= (tptp.c_Option_Oset @t37 @t1) @t36))) % 1.85/2.08 (assume @p5 (forall (@list @t43 @t40 @t5 @t1 @t42 @t41) (or (not @t50) @t48 @t45))) % 1.85/2.08 (assume @p6 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t21 @t20) @t51))) % 1.85/2.08 (assume @p7 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t52 @t20) @t51))) % 1.85/2.08 (assume @p8 (forall @t54 (or @t18 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t5 @t1) @t16)))) % 1.85/2.08 (assume @p9 (forall @t54 (or @t18 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t14 @t1) @t16)))) % 1.85/2.08 (assume @p10 (forall @t58 (or @t57 @t55))) % 1.85/2.08 (assume @p11 (forall @t58 (or @t57 @t47))) % 1.85/2.08 (assume @p12 (forall @t62 (= (tptp.c_Set_Ovimage @t59 (tptp.c_HOL_Ouminus__class_Ouminus @t21 @t61) @t1 @t41) (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t20)))) % 1.85/2.08 (assume @p13 (forall @t69 (or @t68 @t63))) % 1.85/2.08 (assume @p14 (forall (@list @t41 @t21 @t71 @t1) (or @t72 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 (tptp.c_COMBK @t71 @t41 @t1) @t1 @t41) @t71) @t70))) % 1.85/2.08 (assume @p15 (forall @t53 (or (not (= @t75 (tptp.c_Finite__Set_Ocard @t51 @t1))) @t74 (= @t21 @t51)))) % 1.85/2.08 (assume @p16 (forall @t78 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t21 @t20) @t76))) % 1.85/2.08 (assume @p17 (forall @t80 (= @t79 @t26))) % 1.85/2.08 (assume @p18 (forall @t83 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t22 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t82 @t81 @t20)))) % 1.85/2.08 (assume @p19 (forall @t92 (or @t91 (= @t90 (tptp.c_HOL_Ouminus__class_Ouminus @t88 @t1))))) % 1.85/2.08 (assume @p20 (forall @t80 (= @t26 @t76))) % 1.85/2.08 (assume @p21 (forall @t19 (or @t95 @t94))) % 1.85/2.08 (assume @p22 (forall @t19 (or @t12 @t94))) % 1.85/2.08 (assume @p23 (forall @t97 (= (tptp.c_HOL_Ouminus__class_Ouminus @t34 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t96 @t20)))) % 1.85/2.08 (assume @p24 (forall @t19 (or @t18 (= (tptp.c_HOL_Ouminus__class_Ouminus @t10 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t98 @t1))))) % 1.85/2.08 (assume @p25 (forall @t92 (or @t91 (= (tptp.c_HOL_Ouminus__class_Ouminus @t90 @t1) @t88)))) % 1.85/2.08 (assume @p26 (forall (@list @t1 @t84 @t99 @t100 @t86) (or @t109 @t108 @t107 @t106 @t104))) % 1.85/2.08 (assume @p27 (forall @t80 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t26 @t20) @t26))) % 1.85/2.08 (assume @p28 (forall @t19 (or @t95 @t110))) % 1.85/2.08 (assume @p29 (forall @t19 (or @t12 @t110))) % 1.85/2.08 (assume @p30 (forall @t80 (= (tptp.c_HOL_Ouminus__class_Ouminus @t26 @t20) (tptp.hAPP @t111 @t96)))) % 1.85/2.08 (assume @p31 (forall @t19 (or @t18 (= (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t1) (tptp.hAPP @t112 @t98))))) % 1.85/2.08 (assume @p32 (forall @t92 (or @t91 (= (tptp.c_HOL_Ouminus__class_Ouminus @t114 @t1) @t113)))) % 1.85/2.08 (assume @p33 (forall @t97 (= (tptp.hAPP @t33 @t77) @t36))) % 1.85/2.08 (assume @p34 (forall (@list @t1 @t21 @t24 @t115) (or @t123 @t121 @t120 @t70 @t119 @t117 (= (tptp.c_Finite__Set_Ofold1 @t115 @t26 @t1) (tptp.hAPP (tptp.hAPP @t115 @t116) (tptp.c_Finite__Set_Ofold1 @t115 @t24 @t1)))))) % 1.85/2.08 (assume @p35 (forall (@list @t5 @t21 @t1 @t124) (or @t128 @t127))) % 1.85/2.08 (assume @p36 (forall @t131 (= (tptp.c_Set_Ovimage @t59 @t130 @t1 @t41) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t129 @t20)))) % 1.85/2.08 (assume @p37 (forall (@list @t43 @t40 @t1 @t42 @t41) (or (not @t55) @t48 @t56))) % 1.85/2.08 (assume @p38 (forall @t134 (= @t133 (tptp.c_Hoare__Mirabelle_Otriple_Otriple (tptp.c_fequal tptp.tc_Com_Ostate) @t100 @t132 tptp.tc_Com_Ostate)))) % 1.85/2.08 (assume @p39 (forall @t80 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t96 @t20) @t34))) % 1.85/2.08 (assume @p40 (forall (@list @t24 @t5 @t1 @t21) (or @t138 @t136))) % 1.85/2.08 (assume @p41 (forall @t141 (or @t140 @t136))) % 1.85/2.08 (assume @p42 (forall @t145 (or @t144 @t143))) % 1.85/2.08 (assume @p43 (forall @t147 (or @t146 @t143))) % 1.85/2.08 (assume @p44 (forall @t145 (or (tptp.c_lessequals @t129 @t21 @t20) @t148 @t63))) % 1.85/2.08 (assume @p45 (forall @t151 (tptp.c_Map_Omap__le @t59 @t150 @t1 @t41))) % 1.85/2.08 (assume @p46 (forall @t38 (or @t152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t51 @t1) @t16)))) % 1.85/2.08 (assume @p47 (forall @t154 (or @t109 @t153 @t106 @t104))) % 1.85/2.08 (assume @p48 (forall @t156 (or @t109 @t155 @t106 @t104))) % 1.85/2.08 (assume @p49 (forall @t83 (or @t158 (not @t157)))) % 1.85/2.08 (assume @p50 (forall @t159 (or @t157 (not @t158)))) % 1.85/2.08 (assume @p51 (forall @t53 (= (tptp.c_HOL_Ouminus__class_Ouminus @t52 @t20) @t21))) % 1.85/2.08 (assume @p52 (forall @t162 (or @t161 (= @t160 @t86)))) % 1.85/2.08 (assume @p53 (forall @t54 (or @t18 (= (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1) @t5)))) % 1.85/2.08 (assume @p54 (forall @t164 (or @t161 (= @t84 @t163)))) % 1.85/2.08 (assume @p55 (forall @t162 (or @t161 (= @t86 @t160)))) % 1.85/2.08 (assume @p56 (forall @t164 (or @t161 (= @t163 @t84)))) % 1.85/2.08 (assume @p57 (forall @t166 (or @t95 @t165 (not (tptp.c_HOL_Oord__class_Oless @t5 @t86 @t1))))) % 1.85/2.08 (assume @p58 (forall @t166 (or @t95 @t165 (not (tptp.c_HOL_Oord__class_Oless @t5 @t84 @t1))))) % 1.85/2.08 (assume @p59 (forall @t92 (or @t167 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t86 @t84 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t84 @t86 @t1))))) % 1.85/2.08 (assume @p60 (forall @t170 (= (tptp.c_Set_Ovimage @t59 @t169 @t1 @t41) (tptp.hAPP (tptp.hAPP @t27 @t60) @t129)))) % 1.85/2.08 (assume @p61 (forall (@list @t59 @t149 @t1 @t41 @t171) (or @t176 @t175 (not @t172) (not (tptp.c_Map_Omap__le @t59 @t171 @t1 @t41))))) % 1.85/2.08 (assume @p62 (forall @t180 (or @t179 @t178 (not @t177)))) % 1.85/2.08 (assume @p63 (forall @t92 (or @t179 @t177 (not @t178)))) % 1.85/2.08 (assume @p64 (forall @t180 (or @t179 @t182 (not @t181)))) % 1.85/2.08 (assume @p65 (forall @t92 (or @t179 @t181 (not @t182)))) % 1.85/2.08 (assume @p66 (forall @t80 (or (= @t79 @t24) @t184))) % 1.85/2.08 (assume @p67 (forall @t19 (or @t12 @t187))) % 1.85/2.08 (assume @p68 (forall @t19 (or @t188 @t187))) % 1.85/2.08 (assume @p69 (forall @t97 (= @t34 @t189))) % 1.85/2.08 (assume @p70 (forall @t13 (or @t12 @t191))) % 1.85/2.08 (assume @p71 (forall @t13 (or @t12 @t193))) % 1.85/2.08 (assume @p72 (forall @t13 (or @t95 @t193))) % 1.85/2.08 (assume @p73 (forall @t13 (or @t95 @t191))) % 1.85/2.08 (assume @p74 (forall @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t22 @t20) @t194))) % 1.85/2.08 (assume @p75 (forall @t159 (= @t194 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t195 @t20)))) % 1.85/2.08 (assume @p76 (forall @t19 (or @t18 (= @t196 (tptp.hAPP @t7 @t98))))) % 1.85/2.08 (assume @p77 (forall @t80 (= @t66 (tptp.hAPP @t33 @t96)))) % 1.85/2.08 (assume @p78 (forall (@list @t1 @t5 @t198 @t197) (or @t167 (not (= @t200 @t199)) (= @t198 @t197)))) % 1.85/2.08 (assume @p79 (forall (@list @t1 @t201 @t3 @t5) (or @t167 (not (= (tptp.c_HOL_Ominus__class_Ominus @t201 @t3 @t1) @t200)) (= @t201 @t3)))) % 1.85/2.08 (assume @p80 (forall @t80 (= (tptp.c_HOL_Ominus__class_Ominus @t66 @t24 @t20) @t66))) % 1.85/2.08 (assume @p81 (forall @t204 (or @t203 @t143))) % 1.85/2.08 (assume @p82 (forall @t204 (or (not @t203) @t206 @t205 @t142))) % 1.85/2.08 (assume @p83 (forall (@list @t124 @t1 @t41 @t207) (= (tptp.hAPP (tptp.c_COMBK @t124 @t1 @t41) @t207) @t124))) % 1.85/2.08 (assume @p84 (forall @t209 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t208 @t20) @t21))) % 1.85/2.08 (assume @p85 (forall @t214 (or @t109 @t213 @t212 @t211))) % 1.85/2.08 (assume @p86 (forall @t219 (or @t218 @t217 @t216))) % 1.85/2.08 (assume @p87 (forall @t225 (or @t224 @t223 @t222 @t221))) % 1.85/2.08 (assume @p88 (forall @t54 (or @t95 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t5 @t1) @t5)))) % 1.85/2.08 (assume @p89 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t21 @t20) @t21))) % 1.85/2.08 (assume @p90 (forall (@list @t171 @t226 @t41 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t171 @t226 @t41 @t1) @t41) (not (tptp.c_Fun_Oinj__on @t171 @t229 @t41 @t1)) @t228))) % 1.85/2.08 (assume @p91 (forall (@list @t124 @t5 @t1 @t21) (or @t230 @t127))) % 1.85/2.08 (assume @p92 (forall @t232 (or @t231 (= (tptp.hAPP (tptp.hAPP @t6 @t4) @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t186 (tptp.hAPP (tptp.hAPP @t6 @t2) @t5) @t1))))) % 1.85/2.08 (assume @p93 (forall @t13 (or @t231 (= @t8 @t11)))) % 1.85/2.08 (assume @p94 (forall @t35 (= @t234 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t233 @t20)))) % 1.85/2.08 (assume @p95 (forall @t235 (= (tptp.hAPP (tptp.hAPP @t27 @t25) @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t189 @t30 @t20)))) % 1.85/2.08 (assume @p96 (forall @t97 (or @t123 (= @t66 @t21)))) % 1.85/2.08 (assume @p97 (forall @t236 (= (tptp.c_Finite__Set_Ofold1 @t59 @t21 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t59 @t21 @t1) @t1)))) % 1.85/2.08 (assume @p98 (forall (@list @t243 @t1 @t237 @t244 @t242 @t241 @t240 @t239 @t238) (or (= (tptp.hAPP @t243 @t51) @t237) @t245))) % 1.85/2.08 (assume @p99 (forall (@list @t244 @t1 @t238 @t243 @t242 @t241 @t240 @t239 @t237) (or (= (tptp.hAPP @t244 @t51) @t238) @t245))) % 1.85/2.08 (assume @p100 (forall @t54 (or @t18 (= (tptp.hAPP @t7 @t14) @t15)))) % 1.85/2.08 (assume @p101 (forall @t54 (or @t18 (= (tptp.hAPP @t112 @t5) @t15)))) % 1.85/2.08 (assume @p102 (forall @t246 (= (tptp.hAPP @t33 @t52) @t36))) % 1.85/2.08 (assume @p103 (forall @t246 (= (tptp.hAPP @t111 @t21) @t36))) % 1.85/2.08 (assume @p104 (forall @t69 (or (tptp.c_Fun_Oinj__on @t59 @t66 @t1 @t41) @t205))) % 1.85/2.08 (assume @p105 (forall @t249 (or @t152 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t248 @t1) (tptp.hAPP @t89 @t247))))) % 1.85/2.08 (assume @p106 (forall @t131 (= (tptp.c_Set_Ovimage @t59 @t250 @t1 @t41) (tptp.c_HOL_Ominus__class_Ominus @t60 @t129 @t20)))) % 1.85/2.08 (assume @p107 (forall @t251 (or (= (tptp.c_Set_Ovimage @t59 @t65 @t1 @t41) @t21) @t63))) % 1.85/2.08 (assume @p108 (forall (@list @t124 @t1) (= @t125 @t124))) % 1.85/2.08 (assume @p109 (forall @t252 (= (tptp.c_Set_Ovimage @t59 @t229 @t1 @t41) @t51))) % 1.85/2.08 (assume @p110 (forall @t249 (or @t152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t248 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t253 @t1))))) % 1.85/2.08 (assume @p111 (forall @t54 (or @t254 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t16 @t1) @t16)))) % 1.85/2.08 (assume @p112 (forall @t54 (or @t254 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t5 @t1) @t16)))) % 1.85/2.08 (assume @p113 (forall @t255 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t24 @t20) @t51))) % 1.85/2.08 (assume @p114 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t51 @t20) @t51))) % 1.85/2.08 (assume @p115 (forall @t80 (= (tptp.c_HOL_Ouminus__class_Ouminus @t66 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t24 @t20)))) % 1.85/2.08 (assume @p116 (forall (@list @t149 @t171 @t1 @t41 @t59) (or @t172 (not @t176)))) % 1.85/2.08 (assume @p117 (forall @t256 (tptp.c_Map_Omap__le @t59 @t59 @t1 @t41))) % 1.85/2.08 (assume @p118 (forall (@list @t258 @t259 @t1 @t41 @t257) (or (tptp.c_Map_Omap__le @t258 @t259 @t1 @t41) (not (tptp.c_Map_Omap__le @t257 @t259 @t1 @t41)) (not (tptp.c_Map_Omap__le @t258 @t257 @t1 @t41))))) % 1.85/2.08 (assume @p119 (forall (@list @t43 @t42 @t1 @t41) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t43 @t42 @t1 @t41) @t1 @t41) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t42 @t1 @t41) @t260 @t20)))) % 1.85/2.08 (assume @p120 (forall @t147 (or @t262 @t143 @t261))) % 1.85/2.08 (assume @p121 (forall (@list @t21 @t40 @t263 @t1 @t41) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t21 @t40) @t264 @t61) @t264) (not (tptp.c_in @t40 @t263 @t1))))) % 1.85/2.08 (assume @p122 (forall (@list @t59 @t1 @t21 @t24 @t41) (or @t265 @t63))) % 1.85/2.08 (assume @p123 (forall @t35 (or (not @t267) @t266))) % 1.85/2.08 (assume @p124 (forall @t35 (or @t267 @t268))) % 1.85/2.08 (assume @p125 (forall @t53 (= @t52 (tptp.c_HOL_Ominus__class_Ominus @t51 @t21 @t20)))) % 1.85/2.08 (assume @p126 (forall (@list @t258 @t257 @t259 @t1 @t41) (= (tptp.c_Map_Omap__add @t258 (tptp.c_Map_Omap__add @t257 @t259 @t1 @t41) @t1 @t41) (tptp.c_Map_Omap__add @t269 @t259 @t1 @t41)))) % 1.85/2.08 (assume @p127 (forall @t274 (or (= (tptp.hAPP (tptp.hAPP @t115 @t273) @t100) @t272) @t117))) % 1.85/2.08 (assume @p128 (forall @t274 (or (= @t272 (tptp.hAPP @t270 (tptp.hAPP @t271 @t100))) @t117))) % 1.85/2.08 (assume @p129 (forall (@list @t115 @t86 @t84 @t1) (or (= @t273 (tptp.hAPP @t270 @t86)) @t117))) % 1.85/2.08 (assume @p130 (forall @t278 (or @t277 @t63 @t275))) % 1.85/2.08 (assume @p131 (forall (@list @t24 @t5 @t21 @t1) (or @t138 @t140 (not @t279)))) % 1.85/2.08 (assume @p132 (forall @t281 (or @t279 @t280))) % 1.85/2.08 (assume @p133 (forall @t281 (or @t279 @t282))) % 1.85/2.08 (assume @p134 (forall @t13 (or @t12 @t285))) % 1.85/2.08 (assume @p135 (forall @t13 (or @t12 @t286))) % 1.85/2.08 (assume @p136 (forall @t13 (or @t188 @t286))) % 1.85/2.08 (assume @p137 (forall @t13 (or @t188 @t285))) % 1.85/2.08 (assume @p138 (forall @t35 (= (tptp.hAPP (tptp.hAPP @t27 @t34) @t22) @t287))) % 1.85/2.08 (assume @p139 (forall @t35 (= @t287 (tptp.hAPP @t31 @t233)))) % 1.85/2.08 (assume @p140 (forall (@list @t41 @t21 @t1 @t24) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t202 @t21 @t41 @t20) @t24 @t20) @t24))) % 1.85/2.08 (assume @p141 (forall @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t208 @t20) @t21))) % 1.85/2.08 (assume @p142 (forall @t180 (or @t179 @t290 @t289))) % 1.85/2.08 (assume @p143 (forall @t92 (or @t179 @t288 (not @t290)))) % 1.85/2.08 (assume @p144 (forall @t147 (or @t262 @t63 @t261))) % 1.85/2.08 (assume @p145 (forall @t97 (or @t254 @t291 (= @t24 @t16)))) % 1.85/2.08 (assume @p146 (forall @t97 (or @t254 @t291 (= @t21 @t16)))) % 1.85/2.08 (assume @p147 (forall @t151 (or @t292 @t175))) % 1.85/2.08 (assume @p148 (forall @t151 (or (not @t292) @t174))) % 1.85/2.08 (assume @p149 (forall @t38 (or @t18 (= (tptp.c_HOL_Ouminus__class_Ouminus @t16 @t1) @t15)))) % 1.85/2.08 (assume @p150 (forall @t38 (= (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t20) @t36))) % 1.85/2.08 (assume @p151 (forall (@list @t1 @t22 @t21 @t24) (= (tptp.hAPP @t29 @t66) (tptp.c_HOL_Ominus__class_Ominus @t30 (tptp.hAPP @t29 @t24) @t20)))) % 1.85/2.08 (assume @p152 (forall @t35 (= (tptp.hAPP @t294 @t22) @t293))) % 1.85/2.08 (assume @p153 (forall @t54 (or @t254 (= (tptp.hAPP @t7 @t16) @t5)))) % 1.85/2.08 (assume @p154 (forall @t54 (or @t254 (= (tptp.hAPP (tptp.hAPP @t6 @t16) @t5) @t5)))) % 1.85/2.08 (assume @p155 (forall @t255 (= (tptp.hAPP (tptp.hAPP @t27 @t51) @t24) @t24))) % 1.85/2.08 (assume @p156 (forall @t246 (= (tptp.hAPP @t33 @t51) @t21))) % 1.85/2.08 (assume @p157 (forall @t62 (= @t297 (tptp.hAPP @t33 @t295)))) % 1.85/2.08 (assume @p158 (forall @t13 (or @t12 (tptp.c_lessequals @t299 @t298 @t1)))) % 1.85/2.08 (assume @p159 (forall (@list @t1 @t21 @t22 @t24) (= @t293 (tptp.c_HOL_Ominus__class_Ominus @t233 @t24 @t20)))) % 1.85/2.08 (assume @p160 (forall @t38 (or @t152 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t51 @t1) @t15)))) % 1.85/2.08 (assume @p161 (forall @t300 (not (tptp.c_HOL_Oord__class_Oless @t5 @t5 @t20)))) % 1.85/2.08 (assume @p162 (forall @t54 (or @t109 @t302))) % 1.85/2.08 (assume @p163 (forall @t54 (or @t303 @t302))) % 1.85/2.08 (assume @p164 (forall @t54 (or @t224 @t302))) % 1.85/2.08 (assume @p165 (forall @t19 (or @t12 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t10 @t1) @t5)))) % 1.85/2.08 (assume @p166 (forall (@list @t100 @t1 @t21 @t24) (or @t308 @t307 @t305))) % 1.85/2.08 (assume @p167 (forall @t310 (or @t309 @t305))) % 1.85/2.08 (assume @p168 (forall @t310 (or @t309 @t307))) % 1.85/2.08 (assume @p169 (forall @t311 (or @t306 @t304 (not @t309)))) % 1.85/2.08 (assume @p170 (forall @t300 (tptp.c_in @t5 @t51 @t1))) % 1.85/2.08 (assume @p171 (forall @t311 (or @t307 @t313))) % 1.85/2.08 (assume @p172 (forall @t314 (or @t304 @t313))) % 1.85/2.08 (assume @p173 (forall @t316 (or @t315 @t304))) % 1.85/2.08 (assume @p174 (forall @t316 (or @t305 (not @t315)))) % 1.85/2.08 (assume @p175 (forall @t311 (or @t306 @t305 @t216))) % 1.85/2.08 (assume @p176 (forall @t311 (or @t306 @t317))) % 1.85/2.08 (assume @p177 (forall @t314 (or @t304 @t317))) % 1.85/2.08 (assume @p178 (forall @t320 (or @t277 @t319 @t318 @t275 @t205))) % 1.85/2.08 (assume @p179 (forall @t320 (or @t277 @t319 @t318 @t205 @t275))) % 1.85/2.08 (assume @p180 (forall (@list @t59 @t5 @t201 @t21 @t1 @t41) (or (not (= @t276 (tptp.hAPP @t59 @t201))) @t322 @t318 @t205 @t321))) % 1.85/2.08 (assume @p181 (forall @t320 (or @t277 @t205 @t275 @t319 @t318))) % 1.85/2.08 (assume @p182 (forall (@list @t86 @t124 @t1) (or @t324 (not @t323)))) % 1.85/2.08 (assume @p183 (forall (@list @t124 @t86 @t1) (or @t323 (not @t324)))) % 1.85/2.08 (assume @p184 (forall @t310 (or @t312 @t306 @t305))) % 1.85/2.08 (assume @p185 (forall (@list @t84 @t21 @t24 @t41 @t1 @t5) (or (tptp.c_in @t84 @t326 @t1) (not (tptp.c_in @t84 @t137 @t1)) @t325))) % 1.85/2.08 (assume @p186 (forall (@list @t84 @t21 @t24 @t1 @t41 @t86) (or (tptp.c_in @t84 @t330 @t41) (not (tptp.c_in @t84 @t329 @t41)) @t328))) % 1.85/2.08 (assume @p187 (forall (@list @t86 @t59 @t24 @t1 @t41) (or @t333 (not @t332)))) % 1.85/2.08 (assume @p188 (forall (@list @t86 @t59 @t21 @t41 @t1) (or (tptp.c_in @t86 @t296 @t41) (not (tptp.c_in @t331 @t21 @t1))))) % 1.85/2.08 (assume @p189 (forall (@list @t86 @t59 @t24 @t41 @t1) (or (tptp.c_in @t86 @t334 @t41) (not (tptp.c_in @t331 @t24 @t1))))) % 1.85/2.08 (assume @p190 (forall @t335 (or @t332 (not @t333)))) % 1.85/2.08 (assume @p191 (forall (@list @t59 @t86 @t21 @t41 @t1) (or (tptp.c_in @t331 @t21 @t41) (not (tptp.c_in @t86 @t60 @t1))))) % 1.85/2.08 (assume @p192 (forall (@list @t242 @t244 @t21 @t5 @t1 @t243 @t241 @t240 @t239 @t238 @t237) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t242 @t336) @t5)) @t318 @t245))) % 1.85/2.08 (assume @p193 (forall (@list @t242 @t5 @t243 @t21 @t1 @t244 @t241 @t240 @t239 @t238 @t237) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t242 @t5) @t337)) @t318 @t245))) % 1.85/2.08 (assume @p194 (forall (@list @t21 @t24 @t1 @t41 @t84 @t5) (or @t338 (not (tptp.hBOOL (tptp.hAPP @t137 @t84))) @t318))) % 1.85/2.08 (assume @p195 (forall (@list @t21 @t24 @t1 @t41 @t84 @t86) (or @t338 (not (tptp.hBOOL (tptp.hAPP @t329 @t84))) @t328))) % 1.85/2.08 (assume @p196 (forall @t19 (or @t303 @t275 @t220 @t340))) % 1.85/2.08 (assume @p197 (forall @t19 (or @t303 @t275 @t340 @t220))) % 1.85/2.08 (assume @p198 (forall @t92 (or @t109 @t288 @t106 @t341))) % 1.85/2.08 (assume @p199 (forall @t92 (or @t109 @t288 @t341 @t106))) % 1.85/2.08 (assume @p200 (forall @t19 (or @t109 @t220 @t275 @t340))) % 1.85/2.08 (assume @p201 (forall @t19 (or @t109 @t275 @t220 @t340))) % 1.85/2.08 (assume @p202 (forall @t180 (or @t109 @t343 @t342 @t341))) % 1.85/2.08 (assume @p203 (forall @t180 (or @t109 @t343 @t341 @t342))) % 1.85/2.08 (assume @p204 (forall @t347 (or @t179 @t346 @t345 (not @t344)))) % 1.85/2.08 (assume @p205 (forall @t347 (or @t179 @t346 @t344 @t348))) % 1.85/2.08 (assume @p206 (forall @t225 (or @t224 @t223 @t350 @t221))) % 1.85/2.08 (assume @p207 (forall @t225 (or @t224 @t223 @t222 @t340))) % 1.85/2.08 (assume @p208 (forall @t214 (or @t109 @t213 @t212 @t348))) % 1.85/2.08 (assume @p209 (forall @t214 (or @t109 @t213 @t351 @t211))) % 1.85/2.08 (assume @p210 (forall (@list @t1 @t86 @t5 @t84) (or @t95 @t354 @t353))) % 1.85/2.08 (assume @p211 (forall (@list @t1 @t84 @t5 @t86) (or @t95 @t355 @t353))) % 1.85/2.08 (assume @p212 (forall @t166 (or @t95 @t358 @t357))) % 1.85/2.08 (assume @p213 (forall @t166 (or @t95 @t358 @t360))) % 1.85/2.08 (assume @p214 (forall @t225 (or @t95 @t363 @t362))) % 1.85/2.08 (assume @p215 (forall @t232 (or @t95 @t349 @t362))) % 1.85/2.08 (assume @p216 (forall (@list @t1 @t364 @t59) (or @t152 (tptp.c_lessequals @t364 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t59 @t1) @t1) (not (tptp.c_lessequals @t364 @t365 @t1))))) % 1.85/2.08 (assume @p217 (forall @t54 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t5 @t16 @t1)))) % 1.85/2.08 (assume @p218 (forall @t19 (or @t188 @t366))) % 1.85/2.08 (assume @p219 (forall @t19 (or @t188 @t367))) % 1.85/2.08 (assume @p220 (forall @t166 (or @t188 @t368 @t360 @t357))) % 1.85/2.08 (assume @p221 (forall @t13 (or @t188 @t370 @t369 @t340))) % 1.85/2.08 (assume @p222 (forall @t19 (or @t12 @t367))) % 1.85/2.08 (assume @p223 (forall @t19 (or @t12 @t366))) % 1.85/2.08 (assume @p224 (forall @t19 (or @t95 @t371 @t340))) % 1.85/2.08 (assume @p225 @t374) % 1.85/2.08 (assume @p226 (forall @t19 (or @t95 (= @t17 @t5) @t348))) % 1.85/2.08 (assume @p227 (forall @t19 (or @t224 @t339 @t221))) % 1.85/2.08 (assume @p228 (forall @t19 (or @t109 @t339 @t221))) % 1.85/2.08 (assume @p229 (forall @t19 (or @t224 @t220 @t345 @t340))) % 1.85/2.08 (assume @p230 (forall @t180 (or @t179 @t375 @t106))) % 1.85/2.08 (assume @p231 (forall @t92 (or @t179 @t105 (not @t375)))) % 1.85/2.08 (assume @p232 (forall @t19 (or @t303 @t220 @t345))) % 1.85/2.08 (assume @p233 (forall @t54 (or @t303 (not @t376) @t302))) % 1.85/2.08 (assume @p234 (forall @t54 (or @t303 @t301 @t376))) % 1.85/2.08 (assume @p235 (forall @t19 (or @t303 @t221 @t348))) % 1.85/2.08 (assume @p236 (forall @t377 (or @t303 @t345 @t220))) % 1.85/2.08 (assume @p237 (forall @t19 (or @t303 @t340 @t211))) % 1.85/2.08 (assume @p238 (forall @t377 (or @t303 @t210 @t339))) % 1.85/2.08 (assume @p239 (forall @t377 (or @t224 @t348 @t221))) % 1.85/2.08 (assume @p240 (forall @t19 (or @t188 @t378 @t340))) % 1.85/2.08 (assume @p241 (forall @t19 (or @t188 (not @t378) @t339))) % 1.85/2.08 (assume @p242 (forall @t19 (or @t188 (= @t10 @t3) @t348))) % 1.85/2.08 (assume @p243 (forall @t381 (or @t95 @t352 @t380 @t379))) % 1.85/2.08 (assume @p244 (forall @t19 (or @t95 @t382))) % 1.85/2.08 (assume @p245 (forall @t377 (or @t95 @t383))) % 1.85/2.08 (assume @p246 (forall @t232 (or @t95 (tptp.c_lessequals @t4 @t5 @t1) (not @t384) @t348))) % 1.85/2.08 (assume @p247 (forall @t13 (or @t95 @t361 @t350 @t369))) % 1.85/2.08 (assume @p248 (forall @t377 (or @t12 @t383))) % 1.85/2.08 (assume @p249 (forall @t19 (or @t12 @t382))) % 1.85/2.08 (assume @p250 (forall @t166 (or @t188 @t356 @t385))) % 1.85/2.08 (assume @p251 (forall (@list @t1 @t5 @t84 @t86) (or @t188 @t359 @t385))) % 1.85/2.08 (assume @p252 (forall @t381 (or @t188 @t386 @t379))) % 1.85/2.08 (assume @p253 (forall @t381 (or @t188 @t386 @t380))) % 1.85/2.08 (assume @p254 (forall @t13 (or @t188 @t339 @t387))) % 1.85/2.08 (assume @p255 (forall @t225 (or @t188 @t363 @t387))) % 1.85/2.08 (assume @p256 (forall @t180 (or @t179 @t389 (not @t388)))) % 1.85/2.08 (assume @p257 (forall @t92 (or @t179 @t388 (not @t389)))) % 1.85/2.08 (assume @p258 (forall @t180 (or @t179 @t391 (not @t390)))) % 1.85/2.08 (assume @p259 (forall @t92 (or @t179 @t390 (not @t391)))) % 1.85/2.08 (assume @p260 (forall @t395 (or (= @t394 @t36) @t392))) % 1.85/2.08 (assume @p261 (forall @t397 (or @t396 @t328 @t63))) % 1.85/2.08 (assume @p262 (forall (@list @t86 @t21 @t1 @t59 @t41) (or @t327 (not @t396) @t63))) % 1.85/2.08 (assume @p263 (forall @t54 (tptp.hBOOL (tptp.hAPP @t51 @t5)))) % 1.85/2.08 (assume @p264 (forall @t92 (or @t109 @t399 @t398))) % 1.85/2.08 (assume @p265 (forall @t19 (or @t18 (not (= @t14 @t98)) @t275))) % 1.85/2.08 (assume @p266 (forall @t92 (or @t161 (not (= @t87 @t85)) @t341))) % 1.85/2.08 (assume @p267 (forall @t400 (or (not (= @t52 @t96)) @t261))) % 1.85/2.08 (assume @p268 (forall @t405 (or @t109 @t103 @t404 (not @t108) @t402 @t401))) % 1.85/2.08 (assume @p269 (forall @t405 (or @t109 @t103 @t404 (not @t107) @t402 @t401))) % 1.85/2.08 (assume @p270 (forall (@list @t406 @t1) (or (not (= @t407 @t36)) (= @t406 @t37)))) % 1.85/2.08 (assume @p271 (forall @t377 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t210 @t220 @t275))) % 1.85/2.08 (assume @p272 (forall @t19 (or @t303 @t275 @t210 @t220))) % 1.85/2.08 (assume @p273 (forall (@list @t411 @t408 @t100 @t409) (or (= @t411 @t408) (not (tptp.hBOOL (tptp.hAPP @t410 @t411))) (not (tptp.hBOOL (tptp.hAPP @t410 @t408)))))) % 1.85/2.08 (assume @p274 (forall @t151 (or (= @t59 @t149) (not (tptp.c_Map_Omap__le @t149 @t59 @t1 @t41)) @t412))) % 1.85/2.08 (assume @p275 (forall @t377 (or @t303 @t210 @t220 @t275))) % 1.85/2.08 (assume @p276 (forall @t377 (or @t303 @t210 @t275 @t220))) % 1.85/2.08 (assume @p277 (forall @t19 (or @t303 @t275 @t220 @t210))) % 1.85/2.08 (assume @p278 (forall @t19 (or @t12 (= (tptp.hAPP @t7 @t17) @t5)))) % 1.85/2.08 (assume @p279 (forall @t381 (or @t188 @t413 (not (tptp.c_HOL_Oord__class_Oless @t84 @t5 @t1))))) % 1.85/2.08 (assume @p280 (forall @t381 (or @t188 @t413 (not (tptp.c_HOL_Oord__class_Oless @t86 @t5 @t1))))) % 1.85/2.08 (assume @p281 (forall @t80 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t34 @t20) @t21))) % 1.85/2.08 (assume @p282 (forall (@list @t86 @t21 @t41 @t24 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t86 @t21 @t41) @t24 @t41 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t329 @t326 @t20)))) % 1.85/2.08 (assume @p283 (forall @t421 (or @t420 (= @t415 @t414)))) % 1.85/2.08 (assume @p284 (forall @t421 (or @t420 (= @t419 @t417)))) % 1.85/2.08 (assume @p285 (forall @t421 (or @t420 (= @t418 @t416)))) % 1.85/2.08 (assume @p286 (forall @t246 (or @t73 (not @t422) @t119))) % 1.85/2.08 (assume @p287 (forall @t53 (or @t422 @t74 @t119))) % 1.85/2.08 (assume @p288 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t51 @t20) @t36))) % 1.85/2.08 (assume @p289 (forall @t425 (or @t424 @t47 @t423))) % 1.85/2.08 (assume @p290 (forall @t232 (or @t231 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t283 @t5 @t1) (tptp.hAPP (tptp.hAPP @t6 @t93) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t5 @t1)))))) % 1.85/2.08 (assume @p291 (forall @t13 (or @t231 (= @t299 @t298)))) % 1.85/2.08 (assume @p292 (forall @t426 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t32 @t20) (tptp.hAPP @t28 @t195)))) % 1.85/2.08 (assume @p293 (forall @t235 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t21 @t20) (tptp.hAPP (tptp.hAPP @t27 @t76) @t23)))) % 1.85/2.08 (assume @p294 (forall @t38 (or @t18 (= (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t1) @t16)))) % 1.85/2.08 (assume @p295 (forall @t38 (= @t427 @t51))) % 1.85/2.08 (assume @p296 (forall @t19 (or @t12 @t428))) % 1.85/2.08 (assume @p297 (forall @t19 (or @t188 @t428))) % 1.85/2.08 (assume @p298 (forall @t97 (= (tptp.hAPP @t33 @t34) @t34))) % 1.85/2.08 (assume @p299 (forall @t38 (or @t152 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t36 @t1) @t16)))) % 1.85/2.08 (assume @p300 (forall @t54 (or @t188 (= (tptp.hAPP @t7 @t5) @t5)))) % 1.85/2.08 (assume @p301 (forall @t246 (= (tptp.hAPP @t33 @t21) @t21))) % 1.85/2.08 (assume @p302 (forall (@list @t1 @t100 @t99 @t86 @t84) (or @t109 @t403 @t104))) % 1.85/2.08 (assume @p303 (forall @t159 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t25 @t20) (tptp.hAPP @t294 @t82)))) % 1.85/2.08 (assume @p304 (forall @t35 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t22 @t20) (tptp.hAPP @t33 @t81)))) % 1.85/2.08 (assume @p305 (forall @t251 (or (tptp.c_lessequals (tptp.c_Set_Oimage @t59 @t52 @t1 @t41) (tptp.c_HOL_Ouminus__class_Ouminus @t65 @t61) @t61) @t63))) % 1.85/2.08 (assume @p306 (forall (@list @t5 @t1 @t21 @t124) (or @t126 @t429 @t318))) % 1.85/2.08 (assume @p307 (forall @t426 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t32 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t82 @t20)))) % 1.85/2.08 (assume @p308 (forall (@list @t21 @t24 @t41 @t71 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t130 @t71 @t41 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t71 @t41 @t20) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t24 @t71 @t41 @t20) @t20)))) % 1.85/2.08 (assume @p309 (forall (@list @t21 @t59 @t5 @t1 @t41) (or @t431 (not @t430)))) % 1.85/2.08 (assume @p310 (forall (@list @t59 @t21 @t1 @t41 @t5) (or @t430 (not @t431)))) % 1.85/2.08 (assume @p311 (forall @t54 (= (tptp.c_The @t433 @t1) @t5))) % 1.85/2.08 (assume @p312 (forall @t251 (or @t434 @t205))) % 1.85/2.08 (assume @p313 (forall (@list @t1 @t21 @t24 @t5) (or @t135 @t280 @t282))) % 1.85/2.08 (assume @p314 (forall @t92 (or @t91 (= @t114 (tptp.c_HOL_Ouminus__class_Ouminus @t113 @t1))))) % 1.85/2.08 (assume @p315 (forall @t395 (or (= @t394 @t51) (not @t392)))) % 1.85/2.08 (assume @p316 (forall @t347 (or @t179 @t346 @t435 @t221))) % 1.85/2.08 (assume @p317 (forall @t347 (or @t179 @t346 @t220 (not @t435)))) % 1.85/2.08 (assume @p318 (forall @t405 (or @t109 @t103 @t404 @t105))) % 1.85/2.08 (assume @p319 (forall @t92 (or @t109 @t289 @t398))) % 1.85/2.08 (assume @p320 (forall @t19 (or @t303 @t221 @t211))) % 1.85/2.08 (assume @p321 (forall @t377 (or @t224 @t211 @t221))) % 1.85/2.08 (assume @p322 (forall @t180 (or @t224 @t398 @t289))) % 1.85/2.08 (assume @p323 (forall @t141 (or @t442 @t318 @t439 @t438))) % 1.85/2.08 (assume @p324 (forall @t444 (or @t437 @t318 @t443 @t439))) % 1.85/2.08 (assume @p325 (forall @t444 (or @t437 @t318 @t443 @t216))) % 1.85/2.08 (assume @p326 (forall @t444 (or @t437 @t184 @t443 @t216))) % 1.85/2.08 (assume @p327 (forall (@list @t21 @t1 @t24 @t41 @t149 @t59) (or (= @t75 (tptp.c_Finite__Set_Ocard @t24 @t41)) (not @t446) @t119 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t149 @t24 @t41 @t1) @t21 @t20)) (not (tptp.c_Fun_Oinj__on @t149 @t24 @t41 @t1)) (not @t445) @t205))) % 1.85/2.08 (assume @p328 (forall (@list @t41 @t71 @t447 @t21 @t1) (or @t72 (tptp.c_lessequals (tptp.hAPP @t71 @t447) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t71 @t1 @t41) @t41) (not (tptp.c_in @t447 @t21 @t1))))) % 1.85/2.08 (assume @p329 (forall @t448 (or @t152 (tptp.c_lessequals @t247 @t5 @t1) @t318))) % 1.85/2.08 (assume @p330 (forall @t449 (or @t152 (tptp.c_lessequals @t5 @t253 @t1) @t318))) % 1.85/2.08 (assume @p331 (forall (@list @t24 @t5 @t41 @t21 @t1) (or (tptp.c_Finite__Set_Ofinite @t137 @t41) @t318 (not (tptp.c_Finite__Set_Ofinite @t330 @t41)) @t119))) % 1.85/2.08 (assume @p332 (forall (@list @t21 @t24 @t41 @t1 @t5) (or (not (= @t326 @t36)) @t450 @t325))) % 1.85/2.08 (assume @p333 (forall (@list @t1 @t21 @t24 @t41 @t5) (or (not (= @t36 @t326)) @t450 @t325))) % 1.85/2.08 (assume @p334 (forall @t452 (or @t451 @t318 @t123))) % 1.85/2.08 (assume @p335 (forall (@list @t1 @t5 @t201 @t21) (or @t188 (tptp.c_lessequals @t5 @t201 @t1) @t322 (not (tptp.c_lessequals @t5 @t453 @t1)) @t70 @t119))) % 1.85/2.08 (assume @p336 (forall @t92 (or @t109 @t454 @t105))) % 1.85/2.08 (assume @p337 (forall @t92 (or @t109 (not @t454) @t106))) % 1.85/2.08 (assume @p338 (forall @t92 (or @t109 @t399 @t105))) % 1.85/2.08 (assume @p339 (forall @t92 (or @t109 (not @t399) @t106))) % 1.85/2.08 (assume @p340 (forall @t457 (or (= @t456 (tptp.c_Set_Oinsert @t5 @t66 @t1)) @t439))) % 1.85/2.08 (assume @p341 (forall @t461 (or (= @t460 @t32) @t458))) % 1.85/2.08 (assume @p342 (forall @t463 (or (= @t462 @t34) @t327))) % 1.85/2.08 (assume @p343 (forall @t457 (or (= @t456 @t66) @t451))) % 1.85/2.08 (assume @p344 (forall @t281 (or @t215 @t451 @t438))) % 1.85/2.08 (assume @p345 (forall @t444 (or @t437 @t451 @t216))) % 1.85/2.08 (assume @p346 (forall @t461 (or (= @t460 (tptp.c_Set_Oinsert @t86 @t32 @t1)) (not @t458)))) % 1.85/2.08 (assume @p347 (forall @t463 (or (= @t462 @t464) @t328))) % 1.85/2.08 (assume @p348 (forall (@list @t86 @t59 @t1 @t364) (or (tptp.c_in @t86 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t59 @t20) @t1) (not (tptp.c_lessequals @t364 @t365 @t20)) @t465))) % 1.85/2.08 (assume @p349 (forall (@list @t24 @t86 @t21 @t1 @t41) (or (tptp.c_lessequals @t329 @t330 @t61) @t328))) % 1.85/2.08 (assume @p350 (forall (@list @t21 @t5 @t24 @t1 @t263 @t41) (or (tptp.c_lessequals @t139 @t24 @t20) (not (tptp.c_in @t5 @t263 @t41)) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t263 @t21 @t41 @t20) @t24 @t20))))) % 1.85/2.08 (assume @p351 (forall (@list @t115 @t5 @t21 @t1) (or (= (tptp.c_Finite__Set_Ofold1 @t115 @t455 @t1) (tptp.hAPP (tptp.hAPP @t115 @t5) @t116)) @t128 @t119 @t70 @t117))) % 1.85/2.08 (assume @p352 (forall @t466 (or (= (tptp.c_Finite__Set_Ocard @t441 @t1) @t75) @t128 @t119))) % 1.85/2.08 (assume @p353 (forall @t405 (or @t109 @t467 @t402 @t401))) % 1.85/2.08 (assume @p354 (forall @t156 (or @t109 @t155 @t106 @t468))) % 1.85/2.08 (assume @p355 (forall @t154 (or @t109 @t153 @t106 @t468))) % 1.85/2.08 (assume @p356 (forall @t405 (or @t109 @t467 @t105))) % 1.85/2.08 (assume @p357 (forall @t474 (or @t473 (not (tptp.c_in @t472 @t471 @t1)) @t470 @t469 @t228))) % 1.85/2.08 (assume @p358 (forall (@list @t59 @t5 @t41 @t1) (tptp.c_in @t276 @t295 @t1))) % 1.85/2.08 (assume @p359 (forall @t38 (or @t152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t36 @t1) @t15)))) % 1.85/2.08 (assume @p360 (forall @t444 (or @t437 @t184 @t443 @t439))) % 1.85/2.08 (assume @p361 (forall @t397 (or (not @t479) @t476))) % 1.85/2.08 (assume @p362 (forall @t397 (or @t475 @t479 @t205))) % 1.85/2.08 (assume @p363 (forall @t54 (or @t254 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t5 @t1) @t5)))) % 1.85/2.08 (assume @p364 (forall @t54 (or @t254 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t15 @t1) @t5)))) % 1.85/2.08 (assume @p365 (forall @t54 (or @t254 (= (tptp.hAPP (tptp.hAPP @t6 @t15) @t5) @t15)))) % 1.85/2.08 (assume @p366 (forall @t54 (or @t254 (= (tptp.hAPP @t7 @t15) @t15)))) % 1.85/2.08 (assume @p367 (forall @t97 (or @t254 @t480 (= @t21 @t15)))) % 1.85/2.08 (assume @p368 (forall @t97 (or @t254 @t480 (= @t24 @t15)))) % 1.85/2.08 (assume @p369 (forall @t38 (or @t481 @t73))) % 1.85/2.08 (assume @p370 (forall (@list @t482 @t1 @t226) (or @t485 @t484))) % 1.85/2.08 (assume @p371 (forall (@list @t226 @t1 @t482) (or @t227 @t484))) % 1.85/2.08 (assume @p372 (forall (@list @t226 @t482 @t1) (or @t483 @t486 @t228))) % 1.85/2.08 (assume @p373 (forall @t80 (or @t487 @t119 @t120))) % 1.85/2.08 (assume @p374 (forall @t400 (or @t118 @t488 @t120))) % 1.85/2.08 (assume @p375 (forall @t80 (or @t487 @t119))) % 1.85/2.08 (assume @p376 (forall @t490 (or @t489 @t486))) % 1.85/2.08 (assume @p377 (forall @t490 (or @t489 @t228))) % 1.85/2.08 (assume @p378 (forall @t252 (= (tptp.c_Set_Ovimage @t59 @t202 @t1 @t41) @t36))) % 1.85/2.08 (assume @p379 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t36 @t20) @t36))) % 1.85/2.08 (assume @p380 (forall (@list @t244 @t1 @t237 @t243 @t242 @t241 @t240 @t239 @t238) (or (= (tptp.hAPP @t244 @t36) @t237) @t245))) % 1.85/2.08 (assume @p381 (forall (@list @t243 @t1 @t238 @t244 @t242 @t241 @t240 @t239 @t237) (or (= (tptp.hAPP @t243 @t36) @t238) @t245))) % 1.85/2.08 (assume @p382 (forall (@list @t1 @t124 @t5) (or (not (= @t36 @t125)) @t429))) % 1.85/2.08 (assume @p383 (forall (@list @t124 @t1 @t5) (or (not (= @t125 @t36)) @t429))) % 1.85/2.08 (assume @p384 (forall (@list @t59 @t1 @t5) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t59 @t36 @t1) @t5))))) % 1.85/2.08 (assume @p385 (forall @t38 (not (= @t51 @t36)))) % 1.85/2.08 (assume @p386 (forall @t246 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t21 @t20) @t36))) % 1.85/2.08 (assume @p387 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t36 @t20) @t21))) % 1.85/2.08 (assume @p388 (forall @t255 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t24 @t20) @t24))) % 1.85/2.08 (assume @p389 (forall @t53 (not (tptp.c_HOL_Oord__class_Oless @t21 @t36 @t20)))) % 1.85/2.08 (assume @p390 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t21 @t20) @t36))) % 1.85/2.08 (assume @p391 (forall @t53 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t36 @t20) @t21))) % 1.85/2.08 (assume @p392 (forall @t246 (= (tptp.hAPP @t33 @t36) @t36))) % 1.85/2.08 (assume @p393 (forall @t255 (= (tptp.hAPP (tptp.hAPP @t27 @t36) @t24) @t36))) % 1.85/2.08 (assume @p394 (forall @t256 (tptp.c_Fun_Oinj__on @t59 @t36 @t1 @t41))) % 1.85/2.08 (assume @p395 (forall @t80 (or @t491 @t121))) % 1.85/2.08 (assume @p396 (forall @t80 (or @t491 @t70))) % 1.85/2.08 (assume @p397 (forall @t335 (= (tptp.c_Set_Ovimage @t59 @t492 @t1 @t41) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t59 (tptp.c_Set_Oinsert @t86 @t202 @t41) @t1 @t41) @t129 @t20)))) % 1.85/2.08 (assume @p398 (forall @t92 (or @t152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t494 @t1) @t114)))) % 1.85/2.08 (assume @p399 (forall @t92 (or @t152 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t494 @t1) @t90)))) % 1.85/2.08 (assume @p400 (forall @t97 (or @t122 (not @t495)))) % 1.85/2.08 (assume @p401 (forall @t97 (or @t123 @t495))) % 1.85/2.08 (assume @p402 (forall @t251 (or @t434 @t205 @t119))) % 1.85/2.08 (assume @p403 (forall @t251 (or (not @t434) @t119 @t146))) % 1.85/2.08 (assume @p404 (forall (@list @t244 @t86 @t21 @t1 @t240 @t243 @t242 @t241 @t239 @t238 @t237) (or (= (tptp.hAPP @t244 @t248) (tptp.hAPP @t496 @t336)) @t245))) % 1.85/2.08 (assume @p405 (forall (@list @t243 @t86 @t21 @t1 @t239 @t244 @t242 @t241 @t240 @t238 @t237) (or (= (tptp.hAPP @t243 @t248) (tptp.hAPP @t497 @t337)) @t245))) % 1.85/2.08 (assume @p406 (forall (@list @t1 @t86 @t21 @t24) (= (tptp.hAPP (tptp.hAPP @t27 @t248) @t459) @t464))) % 1.85/2.08 (assume @p407 (forall @t498 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t459 @t20) (tptp.c_Set_Oinsert @t86 @t26 @t1)))) % 1.85/2.08 (assume @p408 (forall (@list @t86 @t24 @t1 @t22) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t459 @t22 @t20) (tptp.c_Set_Oinsert @t86 @t25 @t1)))) % 1.85/2.08 (assume @p409 (forall (@list @t59 @t21 @t1 @t41 @t86) (or @t146 @t476))) % 1.85/2.08 (assume @p410 (forall @t504 (or @t503 @t502 @t501))) % 1.85/2.08 (assume @p411 (forall @t504 (or @t503 @t500 @t506 @t505))) % 1.85/2.08 (assume @p412 (forall (@list @t41 @t149 @t59 @t1) (or @t503 (not @t506) @t501))) % 1.85/2.08 (assume @p413 (forall @t80 (or @t261 @t215 @t184))) % 1.85/2.08 (assume @p414 (forall @t80 (or @t215 @t261 @t184))) % 1.85/2.08 (assume @p415 (forall (@list @t24 @t22 @t21 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t24 (tptp.c_HOL_Ominus__class_Ominus @t22 @t21 @t20) @t20) @t21) @t508 @t184))) % 1.85/2.08 (assume @p416 (forall (@list @t1 @t21 @t24 @t22 @t511) (or (tptp.c_lessequals @t34 (tptp.hAPP @t29 @t511) @t20) @t512 @t510))) % 1.85/2.08 (assume @p417 (forall @t219 (or @t218 @t217 @t184))) % 1.85/2.08 (assume @p418 (forall @t219 (or @t218 @t508 @t216))) % 1.85/2.08 (assume @p419 (forall @t147 (or @t146 @t184 @t206))) % 1.85/2.08 (assume @p420 (forall (@list @t24 @t22 @t1 @t21) (or @t507 @t514))) % 1.85/2.08 (assume @p421 (forall @t219 (or @t509 @t514))) % 1.85/2.08 (assume @p422 (forall @t53 (tptp.c_lessequals @t21 @t51 @t20))) % 1.85/2.08 (assume @p423 (forall (@list @t22 @t1 @t21 @t24) (or @t516 (not @t515) @t268))) % 1.85/2.08 (assume @p424 (forall @t97 (tptp.c_lessequals @t34 @t24 @t20))) % 1.85/2.08 (assume @p425 (forall @t97 (tptp.c_lessequals @t34 @t21 @t20))) % 1.85/2.08 (assume @p426 (forall @t517 (or (tptp.c_lessequals @t26 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t511 @t20) @t20) @t512 @t510))) % 1.85/2.08 (assume @p427 (forall @t80 (or (not @t518) @t183))) % 1.85/2.08 (assume @p428 (forall @t80 (or (= @t26 @t21) @t520))) % 1.85/2.08 (assume @p429 (forall @t80 (or @t518 @t184))) % 1.85/2.08 (assume @p430 (forall @t80 (or @t183 @t216))) % 1.85/2.08 (assume @p431 (forall @t517 (or (tptp.c_lessequals @t66 (tptp.c_HOL_Ominus__class_Ominus @t22 @t511 @t20) @t20) (not (tptp.c_lessequals @t511 @t24 @t20)) @t510))) % 1.85/2.08 (assume @p432 (forall @t400 (or @t521 @t520))) % 1.85/2.08 (assume @p433 (forall @t78 (or @t519 (not @t521)))) % 1.85/2.08 (assume @p434 (forall (@list @t24 @t1 @t21) (or (tptp.c_lessequals @t96 @t52 @t20) @t184))) % 1.85/2.08 (assume @p435 (forall @t97 (or (= @t34 @t21) @t184))) % 1.85/2.08 (assume @p436 (forall @t97 (or (= @t34 @t24) @t520))) % 1.85/2.08 (assume @p437 (forall @t83 (or @t513 @t508 @t510))) % 1.85/2.08 (assume @p438 (forall @t78 (tptp.c_lessequals @t24 @t26 @t20))) % 1.85/2.08 (assume @p439 (forall @t80 (tptp.c_lessequals @t21 @t26 @t20))) % 1.85/2.08 (assume @p440 (forall @t80 (tptp.c_lessequals @t66 @t21 @t20))) % 1.85/2.08 (assume @p441 (forall @t522 (or (tptp.c_lessequals @t296 @t334 @t61) @t184))) % 1.85/2.08 (assume @p442 (forall (@list @t22 @t24 @t1 @t21) (or @t515 @t523))) % 1.85/2.08 (assume @p443 (forall (@list @t22 @t21 @t1 @t24) (or @t266 @t523))) % 1.85/2.08 (assume @p444 (forall (@list @t59 @t21 @t24 @t1 @t41 @t22) (or @t68 @t508 @t510 @t524))) % 1.85/2.08 (assume @p445 (forall @t147 (or @t525 @t184 @t63))) % 1.85/2.08 (assume @p446 (forall (@list @t21 @t24 @t1 @t59 @t41) (or @t183 (not @t525) @t63))) % 1.85/2.08 (assume @p447 (forall (@list @t59 @t1 @t21 @t24 @t41 @t22) (or @t265 @t508 @t510 @t524))) % 1.85/2.08 (assume @p448 (forall @t131 (= (tptp.c_Set_Oimage @t59 @t130 @t41 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t527 @t526 @t20)))) % 1.85/2.08 (assume @p449 (forall (@list @t1 @t258 @t41 @t257) (or (not (= (tptp.hAPP (tptp.hAPP @t27 (tptp.c_Map_Odom @t258 @t1 @t41)) (tptp.c_Map_Odom @t257 @t1 @t41)) @t36)) (= @t269 (tptp.c_Map_Omap__add @t257 @t258 @t1 @t41))))) % 1.85/2.08 (assume @p450 (forall (@list @t59 @t5 @t1 @t41 @t21) (or (not (= @t276 @t37)) (= (tptp.c_HOL_Ominus__class_Ominus @t528 (tptp.c_Set_Oinsert @t5 @t21 @t41) @t61) (tptp.c_HOL_Ominus__class_Ominus @t528 @t21 @t61))))) % 1.85/2.08 (assume @p451 (forall (@list @t201 @t1) (not (= (tptp.c_Option_Ooption_OSome @t201 @t1) @t37)))) % 1.85/2.08 (assume @p452 (forall (@list @t529 @t1) (not (= @t530 @t37)))) % 1.85/2.08 (assume @p453 (forall (@list @t1 @t3) (not (= @t37 @t531)))) % 1.85/2.08 (assume @p454 (forall (@list @t1 @t529) (not (= @t37 @t530)))) % 1.85/2.08 (assume @p455 (forall @t425 (or @t424 @t50 @t423))) % 1.85/2.08 (assume @p456 (forall (@list @t42 @t40 @t532 @t1 @t43 @t41) (or (not (= @t46 @t533)) (= @t44 @t533)))) % 1.85/2.08 (assume @p457 (forall (@list @t42 @t40 @t5 @t1 @t43 @t41) (or (not @t423) @t45))) % 1.85/2.08 (assume @p458 (forall @t537 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t482 @t534 @t1) @t536))) % 1.85/2.08 (assume @p459 (forall (@list @t1 @t21 @t86) (or @t188 (tptp.c_lessequals @t453 @t86 @t1) @t328 @t119))) % 1.85/2.08 (assume @p460 (forall (@list @t59 @t149 @t538 @t1 @t41) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t59 @t149 @t538 @t1 @t41) @t229 @t41 @t1) (tptp.c_Set_Oimage @t59 (tptp.c_Set_Oimage @t149 @t229 @t41 @t538) @t538 @t1)))) % 1.85/2.08 (assume @p461 (forall (@list @t21 @t24 @t1 @t86) (or @t487 (not @t540)))) % 1.85/2.08 (assume @p462 (forall @t498 (or @t540 @t488))) % 1.85/2.08 (assume @p463 (forall @t162 (or @t152 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t477 @t1) @t86)))) % 1.85/2.08 (assume @p464 (forall @t541 (= @t248 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t477 @t21 @t20)))) % 1.85/2.08 (assume @p465 (forall @t162 (or @t109 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t86 @t86 @t1) @t477)))) % 1.85/2.08 (assume @p466 (forall @t541 (= @t542 @t248))) % 1.85/2.08 (assume @p467 (forall @t162 (or @t303 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t477 @t1) @t86)))) % 1.85/2.08 (assume @p468 (forall (@list @t59 @t86 @t1) (= (tptp.c_Finite__Set_Ofold1 @t59 @t477 @t1) @t86))) % 1.85/2.08 (assume @p469 (forall (@list @t3 @t5 @t1) (or (= @t3 @t543) (not (tptp.hBOOL (tptp.hAPP @t440 @t3)))))) % 1.85/2.08 (assume @p470 (forall @t300 (= (tptp.c_Set_Ocontents @t440 @t1) @t5))) % 1.85/2.08 (assume @p471 (forall (@list @t86 @t84 @t59 @t1) (or @t341 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t59 @t477 @t1) @t84)))))) % 1.85/2.08 (assume @p472 (forall @t498 (= @t539 (tptp.c_HOL_Ominus__class_Ominus @t66 @t477 @t20)))) % 1.85/2.08 (assume @p473 (forall @t498 (= @t539 (tptp.c_HOL_Ominus__class_Ominus @t478 @t24 @t20)))) % 1.85/2.08 (assume @p474 (forall (@list @t243 @t86 @t84 @t1 @t239 @t244 @t242 @t241 @t240 @t238 @t237) (or (= (tptp.hAPP @t243 @t494) (tptp.hAPP @t497 @t84)) @t245))) % 1.85/2.08 (assume @p475 (forall (@list @t244 @t86 @t84 @t1 @t240 @t243 @t242 @t241 @t239 @t238 @t237) (or (= (tptp.hAPP @t244 @t494) (tptp.hAPP @t496 @t84)) @t245))) % 1.85/2.08 (assume @p476 (forall @t300 (= (tptp.c_The @t440 @t1) @t5))) % 1.85/2.08 (assume @p477 (forall @t162 (or @t303 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t477 @t1) @t86)))) % 1.85/2.08 (assume @p478 (forall (@list @t59 @t5 @t1) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t59 @t440 @t1) @t5)))) % 1.85/2.08 (assume @p479 (forall (@list @t86 @t41 @t24 @t1) (= (tptp.c_Set_Oinsert @t86 @t208 @t1) @t477))) % 1.85/2.08 (assume @p480 (forall @t300 (tptp.hBOOL (tptp.hAPP @t440 @t543)))) % 1.85/2.08 (assume @p481 (forall @t162 (or @t152 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t477 @t1) @t86)))) % 1.85/2.08 (assume @p482 (forall (@list @t243 @t86 @t1 @t244 @t242 @t241 @t240 @t239 @t238 @t237) (or (= (tptp.hAPP @t243 @t477) @t86) @t245))) % 1.85/2.08 (assume @p483 (forall (@list @t244 @t86 @t1 @t243 @t242 @t241 @t240 @t239 @t238 @t237) (or (= (tptp.hAPP @t244 @t477) @t86) @t245))) % 1.85/2.08 (assume @p484 (forall @t162 (= (tptp.c_Collect (tptp.hAPP @t432 @t86) @t1) @t477))) % 1.85/2.08 (assume @p485 (forall @t474 (or @t473 (not (tptp.hBOOL (tptp.hAPP @t124 (tptp.c_Set_Oinsert @t472 @t471 @t1)))) @t470 @t469 @t228))) % 1.85/2.08 (assume @p486 (forall @t38 (tptp.c_lessequals @t36 @t427 @t20))) % 1.85/2.08 (assume @p487 (forall @t53 (or @t70 (not (tptp.c_lessequals @t21 @t52 @t20))))) % 1.85/2.08 (assume @p488 (forall (@list @t21 @t41 @t59 @t1) (or (tptp.c_Finite__Set_Ofinite @t21 @t41) (not (tptp.c_Fun_Oinj__on @t59 @t21 @t41 @t1)) (not (tptp.c_Finite__Set_Ofinite @t527 @t1))))) % 1.85/2.08 (assume @p489 (forall (@list @t100 @t1 @t41) (= (tptp.c_Set_Oimage @t544 @t202 @t41 @t1) @t36))) % 1.85/2.08 (assume @p490 (forall @t547 (or (= @t24 (tptp.c_Set_Oimage @t59 @t546 @t41 @t1)) @t545))) % 1.85/2.08 (assume @p491 (forall @t522 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t527 @t526 @t20) (tptp.c_Set_Oimage @t59 @t250 @t41 @t1) @t20))) % 1.85/2.08 (assume @p492 (forall @t548 (or (tptp.c_lessequals @t546 @t21 @t61) @t545))) % 1.85/2.08 (assume @p493 (forall @t62 (tptp.c_lessequals @t297 @t21 @t20))) % 1.85/2.08 (assume @p494 (forall @t170 (tptp.c_lessequals (tptp.c_Set_Oimage @t59 @t169 @t41 @t1) (tptp.hAPP (tptp.hAPP @t27 @t527) @t526) @t20))) % 1.85/2.08 (assume @p495 (forall @t551 (or @t550 (tptp.c_in @t84 (tptp.c_Map_Oran @t43 @t41 @t1) @t1)))) % 1.85/2.08 (assume @p496 (forall (@list @t406 @t5 @t1) (or (= @t406 @t39) (not (tptp.c_in @t5 @t407 @t1))))) % 1.85/2.08 (assume @p497 (forall @t300 (tptp.c_in @t5 @t552 @t1))) % 1.85/2.08 (assume @p498 (forall @t558 (or @t557 (not @t554)))) % 1.85/2.08 (assume @p499 (forall (@list @t560 @t5 @t559 @t1 @t41) (or (= (tptp.hAPP @t560 @t5) (tptp.hAPP @t559 @t5)) (not (tptp.c_in @t5 (tptp.c_Map_Odom @t560 @t1 @t41) @t1)) (not (tptp.c_Map_Omap__le @t560 @t559 @t1 @t41))))) % 1.85/2.08 (assume @p500 (forall (@list @t43 @t86 @t41 @t1) (or (not @t563) @t562))) % 1.85/2.08 (assume @p501 (forall (@list @t86 @t43 @t1 @t41) (or @t561 @t563))) % 1.85/2.08 (assume @p502 (forall @t558 (or @t557 (tptp.c_in @t43 (tptp.c_Map_Odom @t555 @t1 @t41) @t1)))) % 1.85/2.08 (assume @p503 (forall @t558 (or (= @t556 (tptp.hAPP @t555 @t43)) @t554))) % 1.85/2.08 (assume @p504 (forall (@list @t564 @t1 @t41) (tptp.c_Finite__Set_Ofinite (tptp.c_Map_Odom (tptp.c_Map_Omap__of @t564 @t1 @t41) @t1 @t41) @t1))) % 1.85/2.08 (assume @p505 (forall (@list @t59 @t1 @t41 @t149) (or (tptp.c_lessequals (tptp.c_Map_Odom @t59 @t1 @t41) (tptp.c_Map_Odom @t149 @t1 @t41) @t20) @t412))) % 1.85/2.08 (assume @p506 (forall (@list @t124) (or (= @t566 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t124) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t565))))) % 1.85/2.08 (assume @p507 (forall (@list @t124 @t100 @t207) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t569 @t572 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t569 @t572 tptp.tc_Com_Ostate)) (not @t571)))) % 1.85/2.08 (assume @p508 (forall @t448 (or @t303 (tptp.c_lessequals @t573 @t5 @t1) @t318 @t119))) % 1.85/2.08 (assume @p509 (forall @t449 (or @t303 (tptp.c_lessequals @t5 @t574 @t1) @t318 @t119))) % 1.85/2.08 (assume @p510 (forall @t246 (or @t303 (tptp.c_in @t574 @t21 @t1) @t70 @t119))) % 1.85/2.08 (assume @p511 (forall @t246 (or @t303 (tptp.c_in @t573 @t21 @t1) @t70 @t119))) % 1.85/2.08 (assume @p512 (forall @t575 (or (= (tptp.c_Finite__Set_Ocard @t455 @t1) @t75) @t318 @t119))) % 1.85/2.08 (assume @p513 (forall @t575 (or (= (tptp.c_HOL_Ominus__class_Ominus @t455 @t440 @t20) @t21) @t128))) % 1.85/2.08 (assume @p514 (forall (@list @t5 @t201 @t41 @t115 @t1) (or (not (= (tptp.c_Set_Oinsert @t5 @t201 @t41) @t202)) (tptp.c_in @t5 @t201 @t41) @t117))) % 1.85/2.08 (assume @p515 (forall (@list @t86 @t59 @t1 @t576) (tptp.c_in @t86 (tptp.c_Set_Ovimage @t59 (tptp.c_Set_Oinsert @t331 @t36 @t1) @t576 @t1) @t576))) % 1.85/2.08 (assume @p516 (forall (@list @t59 @t86 @t84 @t41 @t1) (or (= @t331 @t84) (not (tptp.c_in @t86 (tptp.c_Set_Ovimage @t59 (tptp.c_Set_Oinsert @t84 @t202 @t41) @t1 @t41) @t1))))) % 1.85/2.08 (assume @p517 (forall @t541 (or (= @t542 @t21) @t328))) % 1.85/2.08 (assume @p518 (forall @t281 (or @t183 @t128 @t439 @t438))) % 1.85/2.08 (assume @p519 (forall @t444 (or @t437 @t184 @t128 @t439))) % 1.85/2.08 (assume @p520 (forall @t444 (or @t437 @t184 @t128 @t216))) % 1.85/2.08 (assume @p521 (forall (@list @t59 @t149 @t1 @t538 @t41) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t59 @t149 @t1 @t538 @t41) @t229 @t41 @t538) @t538) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t149 @t229 @t41 @t1) @t1))))) % 1.85/2.08 (assume @p522 (forall @t147 (or @t445 (tptp.c_in @t577 @t21 @t1)))) % 1.85/2.08 (assume @p523 (forall @t522 (or @t579 (not (tptp.c_in (tptp.hAPP @t59 @t578) @t24 @t1))))) % 1.85/2.08 (assume @p524 (forall @t522 (or @t579 (tptp.c_in @t578 @t21 @t41)))) % 1.85/2.08 (assume @p525 (forall (@list @t149 @t86 @t59 @t41 @t364 @t1) (or (tptp.c_in (tptp.hAPP @t149 @t86) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t59 @t61) @t41) (not (tptp.c_lessequals @t580 (tptp.hAPP @t59 @t580) @t61)) @t465))) % 1.85/2.08 (assume @p526 (forall @t147 (or @t445 (not (tptp.c_in (tptp.hAPP @t59 @t577) @t24 @t41))))) % 1.85/2.08 (assume @p527 (forall @t474 (or @t473 (tptp.hBOOL (tptp.hAPP @t124 @t471)) @t470 @t469 @t228))) % 1.85/2.08 (assume @p528 (forall @t474 (or @t473 (tptp.c_Finite__Set_Ofinite @t471 @t1) @t470 @t469 @t228))) % 1.85/2.08 (assume @p529 (forall @t444 (or @t583 @t184 @t582))) % 1.85/2.08 (assume @p530 (forall (@list @t100 @t1 @t41 @t21) (or (= (tptp.c_Set_Oimage @t544 @t21 @t41 @t1) (tptp.c_Set_Oinsert @t100 @t36 @t1)) @t584))) % 1.85/2.08 (assume @p531 (forall @t236 (or @t586 (not (tptp.c_lessequals @t21 @t585 @t20)) @t119))) % 1.85/2.08 (assume @p532 (forall @t547 (or (= @t24 (tptp.c_Set_Oimage @t59 @t587 @t41 @t1)) @t545 @t120))) % 1.85/2.08 (assume @p533 (forall @t548 (or (tptp.c_Finite__Set_Ofinite @t587 @t41) @t545 @t120))) % 1.85/2.08 (assume @p534 (forall @t236 (or (= @t585 @t21) (not @t586) (not (tptp.c_lessequals @t585 @t21 @t20)) @t119))) % 1.85/2.08 (assume @p535 (forall @t548 (or (tptp.c_lessequals @t587 @t21 @t61) @t545 @t120))) % 1.85/2.08 (assume @p536 (forall @t300 (= @t552 @t440))) % 1.85/2.08 (assume @p537 (forall (@list @t43 @t86 @t1 @t41) (or (= @t549 (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__XdomD__1__1 @t86 @t43 @t1 @t41) @t41)) @t562))) % 1.85/2.08 (assume @p538 (tptp.c_Finite__Set_Ofinite @t588 tptp.tc_Com_Opname)) % 1.85/2.08 (assume @p539 @t596) % 1.85/2.08 (assume @p540 (forall (@list @t124 @t409 @t597) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP @t598 @t566)) @t409) @t597)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t565) @t409) @t597)))))) % 1.85/2.08 (assume @p541 (forall (@list @t600 @t599 @t597) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t603) @t599) @t597)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t602) @t599) @t597)))))) % 1.85/2.08 (assume @p542 @t606) % 1.85/2.08 (assume @p543 (forall @t474 (or @t473 (tptp.c_in @t472 @t21 @t1) @t470 @t469 @t228))) % 1.85/2.08 (assume @p544 (forall (@list @t1 @t71 @t607) (or @t303 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t71 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t607 @t1) @t1) @t610 @t609 @t608))) % 1.85/2.08 (assume @p545 (forall (@list @t1 @t607 @t71) (or @t303 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t607 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t71 @t1) @t1) @t610 @t609 @t608))) % 1.85/2.08 (assume @p546 (forall @t141 (or @t581 @t318 @t611))) % 1.85/2.08 (assume @p547 (forall @t444 (or @t583 @t318 @t582))) % 1.85/2.08 (assume @p548 (forall (@list @t100 @t41 @t1 @t21 @t5) (or (= (tptp.c_Set_Oimage @t393 @t21 @t1 @t41) (tptp.c_Set_Oinsert @t100 @t202 @t41)) @t318))) % 1.85/2.08 (assume @p549 @t617) % 1.85/2.08 (assume @p550 (forall (@list @t482 @t618) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t621 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t618 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t482 @t621 @t568) (tptp.c_Set_Oimage @t619 @t618 tptp.tc_Com_Opname @t567) tptp.tc_Com_Ostate))))) % 1.85/2.08 (assume @p551 (forall @t628 (or @t627 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t625 @t1))))) % 1.85/2.08 (assume @p552 (forall @t628 (or @t627 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t626 @t482 @t622) @t625 @t1))))) % 1.85/2.08 (assume @p553 (forall @t134 (or @t571 @t592 @t613 @t589))) % 1.85/2.08 (assume @p554 (forall @t147 (or @t525 @t184))) % 1.85/2.08 (assume @p555 (forall @t629 (or (not (tptp.c_lessequals @t5 @t21 @t61)) (tptp.c_lessequals (tptp.c_Set_Oimage @t59 @t5 @t41 @t1) @t527 @t20)))) % 1.85/2.08 (assume @p556 (forall (@list @t86 @t22 @t1 @t511) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t86 @t22 @t1) (tptp.c_Set_Oinsert @t86 @t511 @t1) @t20) (not (tptp.c_lessequals @t22 @t511 @t20))))) % 1.85/2.08 (assume @p557 (forall @t54 (= (tptp.hAPP (tptp.c_Option_Othe @t1) @t39) @t5))) % 1.85/2.08 (assume @p558 (forall @t377 (or @t303 @t345 @t339))) % 1.85/2.08 (assume @p559 (forall (@list @t482 @t408 @t534 @t1) (or @t631 @t536 (not @t630)))) % 1.85/2.08 (assume @p560 (forall (@list @t482 @t534 @t1 @t408) (or @t535 @t632))) % 1.85/2.08 (assume @p561 (forall @t466 (or (= @t21 @t440) @t70 (not (tptp.c_lessequals @t21 @t440 @t20))))) % 1.85/2.08 (assume @p562 (forall @t300 (tptp.c_in @t5 @t440 @t1))) % 1.85/2.08 (assume @p563 (forall @t62 (or (not (= @t527 @t36)) @t584))) % 1.85/2.08 (assume @p564 (forall (@list @t86 @t84 @t21 @t1) (or @t633 @t328))) % 1.85/2.08 (assume @p565 (forall (@list @t86 @t84 @t24 @t1) (or (tptp.c_in @t86 @t634 @t1) (not (tptp.c_in @t86 @t24 @t1))))) % 1.85/2.08 (assume @p566 (forall (@list @t482 @t534 @t1 @t635) (or @t535 (not (tptp.c_lessequals @t534 @t635 @t623)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t635 @t1))))) % 1.85/2.08 (assume @p567 (forall @t400 (or @t118 @t184 @t120))) % 1.85/2.08 (assume @p568 (forall @t638 (or @t637 @t636 @t429))) % 1.85/2.08 (assume @p569 (forall @t400 (or @t118 @t120 @t184))) % 1.85/2.08 (assume @p570 (forall @t54 (or @t224 @t376))) % 1.85/2.08 (assume @p571 (forall @t54 (or @t109 @t376))) % 1.85/2.08 (assume @p572 (forall @t638 (or @t637 @t429 @t636))) % 1.85/2.08 (assume @p573 (forall @t641 (or @t535 (not (tptp.c_lessequals @t639 @t482 @t623)) @t640))) % 1.85/2.08 (assume @p574 (forall @t219 (or @t509 @t508 @t184))) % 1.85/2.08 (assume @p575 (forall @t53 (tptp.c_lessequals @t21 @t21 @t20))) % 1.85/2.08 (assume @p576 (forall (@list @t408 @t24 @t1 @t21) (or (tptp.c_in @t408 @t24 @t1) (not (tptp.c_in @t408 @t21 @t1)) @t184))) % 1.85/2.08 (assume @p577 (forall @t452 (or @t439 @t184 @t318))) % 1.85/2.08 (assume @p578 (forall @t300 (tptp.c_lessequals @t5 @t5 @t20))) % 1.85/2.08 (assume @p579 (forall @t311 (or @t306 @t305 @t184))) % 1.85/2.08 (assume @p580 (forall @t452 (or @t439 @t318 @t184))) % 1.85/2.08 (assume @p581 (forall @t225 (or @t224 @t363 @t350 @t340))) % 1.85/2.08 (assume @p582 (forall @t214 (or @t109 @t384 @t351 @t348))) % 1.85/2.08 (assume @p583 @t642) % 1.85/2.08 (assume @p584 (forall @t457 (or @t643 @t184 @t451))) % 1.85/2.08 (assume @p585 (forall @t575 (tptp.hBOOL (tptp.hAPP @t455 @t5)))) % 1.85/2.08 (assume @p586 (forall @t335 (= (tptp.c_Set_Oimage @t59 @t492 @t41 @t1) (tptp.c_Set_Oinsert @t331 @t526 @t1)))) % 1.85/2.08 (assume @p587 (forall @t641 (or @t535 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t639 @t1)) @t640))) % 1.85/2.08 (assume @p588 (forall @t300 @t644)) % 1.85/2.08 (assume @p589 (forall @t645 (or @t230 @t644))) % 1.85/2.08 (assume @p590 (forall (@list @t100 @t1) (not (tptp.c_in @t100 @t36 @t1)))) % 1.85/2.08 (assume @p591 (forall (@list @t86 @t1) (not (tptp.c_in @t86 @t36 @t1)))) % 1.85/2.08 (assume @p592 (forall @t249 (not (= @t36 @t248)))) % 1.85/2.08 (assume @p593 (forall @t38 (tptp.c_lessequals @t36 @t36 @t20))) % 1.85/2.08 (assume @p594 (forall @t53 (or @t70 (not (tptp.c_lessequals @t21 @t36 @t20))))) % 1.85/2.08 (assume @p595 (forall @t649 (or @t648 @t647 @t646))) % 1.85/2.08 (assume @p596 (forall @t649 (or @t648 @t650 @t646))) % 1.85/2.08 (assume @p597 (forall @t649 (or @t648 @t647 @t651))) % 1.85/2.08 (assume @p598 (forall @t649 (or @t648 @t650 @t651))) % 1.85/2.08 (assume @p599 (forall (@list @t171 @t226 @t1 @t41) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t171 @t226 @t1 @t41) @t41) @t228))) % 1.85/2.08 (assume @p600 (forall @t19 (or @t109 @t275 @t340 @t348))) % 1.85/2.08 (assume @p601 (forall @t19 (or @t109 @t275 @t348 @t340))) % 1.85/2.08 (assume @p602 (forall @t80 (or @t261 @t520 @t184))) % 1.85/2.08 (assume @p603 (forall (@list @t86 @t21 @t1 @t84) (or @t327 @t341 (not @t633)))) % 1.85/2.08 (assume @p604 (forall @t54 (not (tptp.hBOOL (tptp.hAPP @t36 @t5))))) % 1.85/2.08 (assume @p605 (forall (@list @t482 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 @t624 @t1))) % 1.85/2.08 (assume @p606 (forall @t551 (or @t550 (tptp.c_in @t86 (tptp.c_Map_Odom @t43 @t41 @t1) @t41)))) % 1.85/2.08 (assume @p607 (forall (@list @t86 @t1 @t529) (or (not (= (tptp.c_Option_Ooption_OSome @t86 @t1) @t530)) (= @t86 @t529)))) % 1.85/2.08 (assume @p608 (forall @t38 (tptp.c_Finite__Set_Ofinite @t36 @t1))) % 1.85/2.08 (assume @p609 (forall (@list @t5 @t201) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t321))) % 1.85/2.08 (assume @p610 (forall @t541 (or @t652 @t119))) % 1.85/2.08 (assume @p611 (forall (@list @t21 @t1 @t86) (or @t118 (not @t652)))) % 1.85/2.08 (assume @p612 (forall (@list @t24 @t86 @t1) (tptp.c_lessequals @t24 @t459 @t20))) % 1.85/2.08 (assume @p613 (forall (@list @t21 @t5 @t3 @t1) (or @t140 (= @t3 @t5) (not @t654)))) % 1.85/2.08 (assume @p614 (forall @t575 (= (tptp.c_Set_Oinsert @t5 @t455 @t1) @t455))) % 1.85/2.08 (assume @p615 (forall @t541 (not (= @t248 @t36)))) % 1.85/2.08 (assume @p616 (forall @t54 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t15 @t5 @t1)))) % 1.85/2.08 (assume @p617 (forall @t246 (tptp.c_lessequals @t36 @t21 @t20))) % 1.85/2.08 (assume @p618 (forall (@list @t1 @t59 @t21 @t41) (or (not (= @t36 @t527)) @t584))) % 1.85/2.08 (assume @p619 (forall (@list @t482 @t600) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t482 (tptp.c_Set_Oinsert @t655 @t569 @t567) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t655 @t482 @t567) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t602) @t569 @t567) tptp.tc_Com_Ostate))))) % 1.85/2.08 (assume @p620 (forall (@list @t21 @t84 @t24 @t1) (or (tptp.c_lessequals @t21 @t634 @t20) @t184))) % 1.85/2.08 (assume @p621 (forall @t281 (or @t183 @t656))) % 1.85/2.08 (assume @p622 (forall (@list @t24 @t41 @t59 @t21 @t1) (or @t446 @t148 @t119))) % 1.85/2.08 (assume @p623 (forall (@list @t59 @t5 @t24 @t1 @t21 @t41) (or (tptp.c_in @t276 @t24 @t1) @t325 (not @t579)))) % 1.85/2.08 (assume @p624 (forall (@list @t84 @t86 @t1) (or (= @t84 @t86) (not (tptp.c_in @t84 @t477 @t1))))) % 1.85/2.08 (assume @p625 (forall @t575 (tptp.c_in @t5 @t455 @t1))) % 1.85/2.08 (assume @p626 (forall (@list @t86 @t24 @t1) (tptp.c_in @t86 @t459 @t1))) % 1.85/2.08 (assume @p627 (forall (@list @t5 @t24 @t1) (tptp.c_in @t5 @t436 @t1))) % 1.85/2.08 (assume @p628 (forall (@list @t5 @t3 @t21 @t1) (= (tptp.c_Set_Oinsert @t5 @t653 @t1) (tptp.c_Set_Oinsert @t3 @t455 @t1)))) % 1.85/2.08 (assume @p629 (forall (@list @t5 @t657 @t1) (or @t659 (not @t658)))) % 1.85/2.08 (assume @p630 (forall (@list @t657 @t5 @t1) (or @t658 (not @t659)))) % 1.85/2.08 (assume @p631 (forall (@list @t124 @t207 @t41 @t1 @t538 @t660) (= (tptp.hAPP (tptp.c_COMBB @t124 @t207 @t41 @t1 @t538) @t660) (tptp.hAPP @t124 (tptp.hAPP @t207 @t660))))) % 1.85/2.08 (assume @p632 (forall (@list @t201 @t5 @t1) (= (tptp.c_Set_Oinsert @t201 @t440 @t1) (tptp.c_Set_Oinsert @t5 (tptp.c_Set_Oinsert @t201 @t36 @t1) @t1)))) % 1.85/2.08 (assume @p633 (forall @t252 (= @t661 @t36))) % 1.85/2.08 (assume @p634 (forall @t278 (or (not (= @t276 @t531)) (= (tptp.c_Set_Oinsert @t5 @t528 @t41) @t528)))) % 1.85/2.08 (assume @p635 (forall (@list @t86 @t1 @t84) (or (not (= @t477 @t493)) @t341))) % 1.85/2.08 (assume @p636 (forall @t645 (or @t429 @t644))) % 1.85/2.08 (assume @p637 (forall (@list @t5 @t201 @t1) (or (not (= (tptp.c_Set_Oinsert @t5 @t201 @t1) @t36)) (tptp.c_in @t5 @t201 @t1)))) % 1.85/2.08 (assume @p638 (forall (@list @t482 @t408 @t1 @t534) (or @t630 @t632))) % 1.85/2.08 (assume @p639 (forall @t452 (or @t439 @t656))) % 1.85/2.08 (assume @p640 (forall (@list @t3 @t21 @t1 @t5) (or @t654 @t282))) % 1.85/2.08 (assume @p641 (forall @t662 (or (= (tptp.c_Set_Oinsert @t276 @t65 @t41) @t65) @t318))) % 1.85/2.08 (assume @p642 (forall @t444 (or @t583 @t184 @t128))) % 1.85/2.08 (assume @p643 (forall @t281 (or @t183 @t128 @t611))) % 1.85/2.08 (assume @p644 (forall @t281 (or @t183 @t611 @t128))) % 1.85/2.08 (assume @p645 (forall @t457 (or (not (= @t455 @t436)) @t439 @t128 @t261))) % 1.85/2.08 (assume @p646 (forall @t537 (or @t535 (not (tptp.c_lessequals @t534 @t482 @t623))))) % 1.85/2.08 (assume @p647 (forall (@list @t664 @t663) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t664) (tptp.hAPP tptp.c_Com_Ocom_OBODY @t663))) (= @t664 @t663)))) % 1.85/2.08 (assume @p648 @t666) % 1.85/2.08 (assume @p649 (forall (@list @t1 @t59 @t41) (= @t36 @t661))) % 1.85/2.08 (assume @p650 (forall @t246 (or @t481 @t118))) % 1.85/2.08 (assume @p651 (forall (@list @t5 @t21 @t576 @t59 @t1) (or (not (tptp.c_in @t5 @t21 @t576)) (tptp.c_in @t276 (tptp.c_Set_Oimage @t59 @t21 @t576 @t1) @t1)))) % 1.85/2.08 (assume @p652 (forall @t629 (or @t325 @t667))) % 1.85/2.08 (assume @p653 (forall (@list @t59 @t5 @t21 @t41 @t1) (or @t667 @t325))) % 1.85/2.08 (assume @p654 (forall @t662 (or (tptp.c_in @t276 @t65 @t41) @t318))) % 1.85/2.08 (assume @p655 (forall (@list @t41 @t59 @t5 @t149 @t1) (or @t503 (tptp.c_lessequals @t276 (tptp.hAPP @t149 @t5) @t41) @t505))) % 1.85/2.08 (assume @p656 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 1.85/2.08 (assume @p657 tptp.c_Com_OWT__bodies) % 1.85/2.08 (assume @p658 (tptp.c_Finite__Set_Ofinite tptp.v_Fa @t567)) % 1.85/2.08 (assume @p659 (not (tptp.c_in @t668 tptp.v_Fa @t567))) % 1.85/2.08 (assume @p660 (tptp.c_lessequals tptp.v_Fa (tptp.c_Set_Oimage @t619 @t588 tptp.tc_Com_Opname @t567) @t568)) % 1.85/2.08 (assume @p661 @t669) % 1.85/2.08 (assume @p662 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t670 tptp.v_Fa tptp.tc_Com_Ostate)) % 1.85/2.08 (assume @p663 (not @t671)) % 1.85/2.08 (assume @p664 (forall @t675 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t674) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t672))))) % 1.85/2.08 (assume @p665 (forall @t675 (or (tptp.class_Lattices_Oupper__semilattice @t674) @t676))) % 1.85/2.08 (assume @p666 (forall @t675 (or (tptp.class_Lattices_Olower__semilattice @t674) @t676))) % 1.85/2.08 (assume @p667 (forall @t675 (or (tptp.class_Lattices_Odistrib__lattice @t674) (not (tptp.class_Lattices_Odistrib__lattice @t672))))) % 1.85/2.08 (assume @p668 (forall @t675 (or (tptp.class_Lattices_Obounded__lattice @t674) (not (tptp.class_Lattices_Obounded__lattice @t672))))) % 1.85/2.08 (assume @p669 (forall @t675 (or (tptp.class_Lattices_Oboolean__algebra @t674) (not (tptp.class_Lattices_Oboolean__algebra @t672))))) % 1.85/2.08 (assume @p670 (forall @t675 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t674) @t677 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t673))))) % 1.85/2.08 (assume @p671 (forall @t675 (or (tptp.class_Orderings_Opreorder @t674) (not (tptp.class_Orderings_Opreorder @t672))))) % 1.85/2.08 (assume @p672 (forall @t675 (or (tptp.class_Lattices_Olattice @t674) @t676))) % 1.85/2.08 (assume @p673 (forall @t675 (or (tptp.class_Orderings_Oorder @t674) (not (tptp.class_Orderings_Oorder @t672))))) % 1.85/2.08 (assume @p674 (forall @t675 (or (tptp.class_Orderings_Otop @t674) (not (tptp.class_Orderings_Otop @t672))))) % 1.85/2.08 (assume @p675 (forall @t675 (or (tptp.class_Orderings_Obot @t674) (not (tptp.class_Orderings_Obot @t672))))) % 1.85/2.08 (assume @p676 (forall @t675 (or (tptp.class_HOL_Oord @t674) (not (tptp.class_HOL_Oord @t672))))) % 1.85/2.08 (assume @p677 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.85/2.08 (assume @p678 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.85/2.08 (assume @p679 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 1.85/2.08 (assume @p680 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.85/2.08 (assume @p681 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.85/2.08 (assume @p682 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.85/2.08 (assume @p683 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.85/2.08 (assume @p684 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.85/2.08 (assume @p685 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.85/2.08 (assume @p686 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.85/2.08 (assume @p687 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.85/2.08 (assume @p688 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.85/2.08 (assume @p689 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.85/2.08 (assume @p690 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.85/2.08 (assume @p691 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 1.85/2.08 (assume @p692 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.85/2.08 (assume @p693 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.85/2.08 (assume @p694 @t678) % 1.85/2.08 (assume @p695 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.85/2.08 (assume @p696 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.85/2.08 (assume @p697 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.85/2.08 (assume @p698 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.85/2.08 (assume @p699 (forall (@list @t672) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t672)) @t677))) % 1.85/2.08 (assume @p700 (forall (@list @t124 @t207 @t660 @t41 @t538 @t1) (= (tptp.c_COMBC @t124 @t207 @t660 @t41 @t538 @t1) (tptp.hAPP (tptp.hAPP @t124 @t660) @t207)))) % 1.85/2.08 (assume @p701 (forall @t54 (tptp.hBOOL (tptp.hAPP @t433 @t5)))) % 1.85/2.08 (assume @p702 (forall (@list @t364 @t679 @t1) (or (= @t364 @t679) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t432 @t364) @t679)))))) % 1.85/2.08 (step @p703 :rule eq-symm :args (@t681 @t670)) % 1.85/2.08 (step @p704 :rule refl :args (@t642)) % 1.85/2.08 (step @p705 :rule cong :premises (@p704 @p703) :args ((=> @t642 @t682))) % 1.85/2.08 (assume-push @p833 @t642) % 1.85/2.08 (step @p707 :rule instantiate :premises (@p583) :args (@t683)) % 1.85/2.08 (step-pop @p834 :rule scope :premises (@p707)) % 1.85/2.08 (step @p708 :rule process_scope :premises (@p834) :args (@t682)) % 1.85/2.08 (step @p710 :rule eq_resolve :premises (@p708 @p705)) % 1.85/2.08 (step @p711 :rule implies_elim :premises (@p710)) % 1.85/2.08 (step @p712 :rule chain_m_resolution :premises (@p711 @p583) :args (@t684 @t685 @t686)) % 1.85/2.08 (step @p713 :rule refl :args (@t328)) % 1.85/2.08 (step @p714 :rule eq-symm :args (@t248 @t21)) % 1.85/2.08 (step @p715 :rule nary_cong :premises (@p714 @p713) :args (@t665)) % 1.85/2.08 (step @p716 :rule cong :premises (@p715) :args (@t666)) % 1.85/2.08 (step @p717 :rule eq_resolve :premises (@p648 @p716)) % 1.85/2.08 (step @p718 :rule instantiate :premises (@p717) :args ((@list @t687 @t588 tptp.tc_Com_Opname))) % 1.85/2.08 (step @p719 :rule quant-miniscope-or :args ((= (forall @t595 @t690) (or @t589 @t689)))) % 1.85/2.08 (step @p720 :rule aci_norm :args ((= @t594 @t690))) % 1.85/2.08 (step @p721 :rule cong :premises (@p720) :args (@t596)) % 1.85/2.08 (step @p722 :rule trans :premises (@p721 @p719)) % 1.85/2.08 (step @p723 :rule eq_resolve :premises (@p539 @p722)) % 1.85/2.08 (step @p724 :rule chain_m_resolution :premises (@p723 @p656) :args (@t689 @t685 @t691)) % 1.85/2.08 (step @p725 :rule instantiate :premises (@p724) :args (@t692)) % 1.85/2.08 (step @p726 :rule quant-miniscope-or :args ((= (forall @t616 @t695) (or @t613 @t694)))) % 1.85/2.08 (step @p727 :rule aci_norm :args ((= @t615 @t695))) % 1.85/2.08 (step @p728 :rule cong :premises (@p727) :args (@t617)) % 1.85/2.08 (step @p729 :rule trans :premises (@p728 @p726)) % 1.85/2.08 (step @p730 :rule eq_resolve :premises (@p549 @p729)) % 1.85/2.08 (step @p731 :rule chain_m_resolution :premises (@p730 @p657) :args (@t694 @t685 (@list tptp.c_Com_OWT__bodies))) % 1.85/2.08 (step @p732 :rule instantiate :premises (@p731) :args ((@list tptp.v_pn tptp.v_y))) % 1.85/2.08 (step @p733 :rule cnf_or_pos :args (@t698)) % 1.85/2.08 (step @p734 :rule reordering :premises (@p733) :args ((or @t697 @t696 (not @t698)))) % 1.85/2.08 (step @p735 :rule chain_m_resolution :premises (@p734 @p661 @p732) :args (@t696 @t699 (@list @t669 @t698))) % 1.85/2.08 (step @p736 :rule cnf_or_pos :args (@t702)) % 1.85/2.08 (step @p737 :rule reordering :premises (@p736) :args ((or @t671 @t701 @t700 (not @t702)))) % 1.85/2.08 (step @p738 :rule chain_m_resolution :premises (@p737 @p663 @p735 @p725) :args (@t700 @t703 (@list @t671 @t696 @t702))) % 1.85/2.08 (step @p739 :rule cnf_or_pos :args (@t707)) % 1.85/2.08 (step @p740 :rule reordering :premises (@p739) :args ((or @t704 @t706 (not @t707)))) % 1.85/2.08 (step @p741 :rule chain_m_resolution :premises (@p740 @p738 @p718) :args (@t706 @t699 (@list @t700 @t707))) % 1.85/2.08 (step @p742 :rule instantiate :premises (@p464) :args ((@list @t709 @t670 @t567))) % 1.85/2.08 (step @p743 :rule instantiate :premises (@p586) :args ((@list tptp.c_Com_Ocom_OBODY @t687 @t588 tptp.tc_Com_Opname tptp.tc_Com_Ocom))) % 1.85/2.08 (step @p744 :rule instantiate :premises (@p586) :args (@t710)) % 1.85/2.08 (step @p745 :rule refl :args (@t339)) % 1.85/2.08 (step @p746 :rule eq-symm :args (@t17 @t3)) % 1.85/2.08 (step @p747 :rule cong :premises (@p746) :args (@t372)) % 1.85/2.08 (step @p748 :rule refl :args (@t95)) % 1.85/2.08 (step @p749 :rule nary_cong :premises (@p748 @p747 @p745) :args (@t373)) % 1.85/2.08 (step @p750 :rule cong :premises (@p749) :args (@t374)) % 1.85/2.08 (step @p751 :rule eq_resolve :premises (@p225 @p750)) % 1.85/2.08 (step @p752 :rule instantiate :premises (@p751) :args ((@list @t568 @t711 @t670))) % 1.85/2.08 (step @p753 :rule instantiate :premises (@p646) :args ((@list @t670 @t711 tptp.tc_Com_Ostate))) % 1.85/2.08 (step @p754 :rule quant-miniscope-or :args ((= (forall @t595 @t714) (or @t589 @t713)))) % 1.85/2.08 (step @p755 :rule aci_norm :args ((= @t605 @t714))) % 1.85/2.08 (step @p756 :rule cong :premises (@p755) :args (@t606)) % 1.85/2.08 (step @p757 :rule trans :premises (@p756 @p754)) % 1.85/2.08 (step @p758 :rule eq_resolve :premises (@p542 @p757)) % 1.85/2.08 (step @p759 :rule chain_m_resolution :premises (@p758 @p656) :args (@t713 @t685 @t691)) % 1.85/2.08 (step @p760 :rule instantiate :premises (@p759) :args (@t692)) % 1.85/2.08 (step @p761 :rule cnf_or_pos :args (@t717)) % 1.85/2.08 (step @p762 :rule reordering :premises (@p761) :args ((or @t671 @t701 @t716 (not @t717)))) % 1.85/2.08 (step @p763 :rule chain_m_resolution :premises (@p762 @p663 @p735 @p760) :args (@t716 @t703 (@list @t671 @t696 @t717))) % 1.85/2.08 (step @p764 :rule cnf_or_pos :args (@t720)) % 1.85/2.08 (step @p765 :rule reordering :premises (@p764) :args ((or @t715 @t719 (not @t720)))) % 1.85/2.08 (step @p766 :rule chain_m_resolution :premises (@p765 @p763 @p753) :args (@t719 (@list true false) (@list @t715 @t720))) % 1.85/2.08 (step @p767 :rule instantiate :premises (@p665) :args ((@list @t567 tptp.tc_bool))) % 1.85/2.08 (step @p768 :rule cnf_or_pos :args (@t723)) % 1.85/2.08 (step @p769 :rule reordering :premises (@p768) :args ((or @t721 @t722 (not @t723)))) % 1.85/2.08 (step @p770 :rule chain_m_resolution :premises (@p769 @p694 @p767) :args (@t722 @t699 (@list @t678 @t723))) % 1.85/2.08 (step @p771 :rule cnf_or_pos :args (@t728)) % 1.85/2.08 (step @p772 :rule reordering :premises (@p771) :args ((or @t727 @t718 @t726 (not @t728)))) % 1.85/2.08 (step @p773 :rule chain_m_resolution :premises (@p772 @p770 @p766 @p752) :args (@t726 (@list false true false) (@list @t722 @t718 @t728))) % 1.85/2.08 (step @p774 :rule refl :args (@t732)) % 1.85/2.08 (step @p775 :rule refl :args (@t734)) % 1.85/2.08 (step @p776 :rule refl :args (@t737)) % 1.85/2.08 (step @p777 :rule bool-double-not-elim :args (@t725)) % 1.85/2.08 (step @p778 :rule refl :args (@t738)) % 1.85/2.08 (step @p779 :rule refl :args (@t739)) % 1.85/2.08 (step @p780 :rule nary_cong :premises (@p779 @p778 @p777 @p776 @p775 @p774) :args ((or @t739 @t738 (not @t726) @t737 @t734 @t732))) % 1.85/2.08 (assume-push @p835 @t684) % 1.85/2.08 (assume-push @p836 @t740) % 1.85/2.08 (assume-push @p837 @t736) % 1.85/2.08 (assume-push @p838 @t726) % 1.85/2.08 (step @p785 :rule evaluate :args ((= false true))) % 1.85/2.08 (step @p786 :rule refl :args (@t567)) % 1.85/2.08 (step @p707 :rule instantiate :premises (@p583) :args (@t683)) % 1.85/2.08 (step @p787 :rule refl :args (@t709)) % 1.85/2.08 (step @p788 :rule cong :premises (@p787 @p707 @p786) :args (@t729)) % 1.85/2.08 (step @p789 :rule instantiate :premises (@p586) :args (@t710)) % 1.85/2.08 (step @p790 :rule refl :args (tptp.tc_Com_Ocom)) % 1.85/2.08 (step @p791 :rule refl :args (tptp.tc_Com_Opname)) % 1.85/2.08 (step @p792 :rule refl :args (tptp.c_Com_Ocom_OBODY)) % 1.85/2.08 (step @p793 :rule cong :premises (@p792 @p741 @p791 @p790) :args (@t680)) % 1.85/2.08 (step @p794 :rule trans :premises (@p793 @p743)) % 1.85/2.08 (step @p795 :rule refl :args (tptp.c_Hoare__Mirabelle_OMGT)) % 1.85/2.08 (step @p796 :rule cong :premises (@p795 @p794 @p790 @p786) :args (@t681)) % 1.85/2.08 (step @p797 :rule chain_m_resolution :premises (@p711 @p583) :args (@t684 @t685 @t686)) % 1.85/2.08 (step @p798 :rule trans :premises (@p797 @p796 @p789 @p788)) % 1.85/2.08 (step @p799 :rule symm :premises (@p798)) % 1.85/2.08 (step @p800 :rule trans :premises (@p799 @p712)) % 1.85/2.08 (step @p801 :rule symm :premises (@p800)) % 1.85/2.08 (step @p802 :rule trans :premises (@p712 @p801 @p742)) % 1.85/2.08 (step @p803 :rule true_intro :premises (@p802)) % 1.85/2.08 (step @p804 :rule false_intro :premises (@p773)) % 1.85/2.08 (step @p805 :rule symm :premises (@p804)) % 1.85/2.08 (step @p806 :rule trans :premises (@p805 @p803)) % 1.85/2.08 (step @p807 false :rule eq_resolve :premises (@p806 @p785)) % 1.85/2.08 (step-pop @p839 :rule scope :premises (@p807)) % 1.85/2.08 (step-pop @p840 :rule scope :premises (@p839)) % 1.85/2.08 (step-pop @p841 :rule scope :premises (@p840)) % 1.85/2.08 (step-pop @p842 :rule scope :premises (@p841)) % 1.85/2.08 (step @p808 :rule process_scope :premises (@p842) :args (false)) % 1.85/2.08 (assume-push @p843 @t684) % 1.85/2.08 (assume-push @p844 @t706) % 1.85/2.08 (assume-push @p845 @t726) % 1.85/2.08 (assume-push @p846 @t736) % 1.85/2.08 (assume-push @p847 @t733) % 1.85/2.08 (assume-push @p848 @t731) % 1.85/2.08 (step @p786 :rule refl :args (@t567)) % 1.85/2.08 (step @p707 :rule instantiate :premises (@p583) :args (@t683)) % 1.85/2.08 (step @p787 :rule refl :args (@t709)) % 1.85/2.08 (step @p788 :rule cong :premises (@p787 @p707 @p786) :args (@t729)) % 1.85/2.08 (step @p790 :rule refl :args (tptp.tc_Com_Ocom)) % 1.85/2.08 (step @p791 :rule refl :args (tptp.tc_Com_Opname)) % 1.85/2.08 (step @p792 :rule refl :args (tptp.c_Com_Ocom_OBODY)) % 1.85/2.08 (step @p793 :rule cong :premises (@p792 @p741 @p791 @p790) :args (@t680)) % 1.85/2.08 (step @p794 :rule trans :premises (@p793 @p743)) % 1.85/2.08 (step @p795 :rule refl :args (tptp.c_Hoare__Mirabelle_OMGT)) % 1.85/2.08 (step @p796 :rule cong :premises (@p795 @p794 @p790 @p786) :args (@t681)) % 1.85/2.08 (step @p819 :rule trans :premises (@p712 @p796 @p744 @p788)) % 1.85/2.08 (step @p820 :rule and_intro :premises (@p712 @p819 @p742 @p773)) % 1.85/2.08 (step-pop @p849 :rule scope :premises (@p820)) % 1.85/2.08 (step-pop @p850 :rule scope :premises (@p849)) % 1.85/2.08 (step-pop @p851 :rule scope :premises (@p850)) % 1.85/2.08 (step-pop @p852 :rule scope :premises (@p851)) % 1.85/2.08 (step-pop @p853 :rule scope :premises (@p852)) % 1.85/2.08 (step-pop @p854 :rule scope :premises (@p853)) % 1.85/2.08 (step @p821 :rule process_scope :premises (@p854) :args (@t741)) % 1.85/2.08 (step @p828 :rule implies_elim :premises (@p821)) % 1.85/2.08 (step @p829 :rule resolution :premises (@p828 @p808) :args (true @t741)) % 1.85/2.08 (step @p830 :rule not_and :premises (@p829)) % 1.85/2.08 (step @p831 :rule eq_resolve :premises (@p830 @p780)) % 1.85/2.08 (step @p832 false :rule chain_m_resolution :premises (@p831 @p773 @p744 @p743 @p742 @p741 @p712) :args (false (@list true false false false false false) (@list @t725 @t731 @t733 @t736 @t706 @t684))) % 1.85/2.08 ) % 1.85/2.08 % SZS output end Proof % 1.85/2.09 % cvc5 exiting %------------------------------------------------------------------------------