%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV857-1 : 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 : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:30 AM UTC 2026 % Result : Unsatisfiable 0.86s 1.05s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWV857-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n022.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:17:23 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.05 % SZS status Unsatisfiable % 0.86/1.05 % SZS output start Proof % 0.86/1.07 ( % 0.86/1.07 (declare-sort $$unsorted 0) % 0.86/1.07 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.tc_nat $$unsorted) % 0.86/1.07 (declare-const tptp.v_tsa $$unsorted) % 0.86/1.07 (declare-const tptp.v_Ga $$unsorted) % 0.86/1.07 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_ATP__Linkup_Osko__Set__XsubsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.t_a $$unsorted) % 0.86/1.07 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.tc_bool $$unsorted) % 0.86/1.07 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.v_x $$unsorted) % 0.86/1.07 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.v_xa $$unsorted) % 0.86/1.07 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (define @t1 () (@var "T_a" $$unsorted)) % 0.86/1.07 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.86/1.07 (define @t3 () (@var "V_B" $$unsorted)) % 0.86/1.07 (define @t4 () (@var "V_A" $$unsorted)) % 0.86/1.07 (define @t5 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.86/1.07 (define @t6 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 @t2)) % 0.86/1.07 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t6 @t2)) % 0.86/1.07 (define @t8 () (@list @t4 @t3 @t1)) % 0.86/1.07 (define @t9 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 0.86/1.07 (define @t10 () (@list @t3 @t4 @t1)) % 0.86/1.07 (define @t11 () (@var "V_v" $$unsorted)) % 0.86/1.07 (define @t12 () (@var "V_c" $$unsorted)) % 0.86/1.07 (define @t13 () (@var "V_b" $$unsorted)) % 0.86/1.07 (define @t14 () (@var "V_a" $$unsorted)) % 0.86/1.07 (define @t15 () (tptp.hAPP @t14 (tptp.hAPP @t13 @t11))) % 0.86/1.07 (define @t16 () (@var "T_b" $$unsorted)) % 0.86/1.07 (define @t17 () (tptp.c_Fun_Oid @t16)) % 0.86/1.07 (define @t18 () (@var "T_c" $$unsorted)) % 0.86/1.07 (define @t19 () (tptp.c_Fun_Ocomp @t14 @t13 @t18 @t16 @t1)) % 0.86/1.07 (define @t20 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.86/1.07 (define @t21 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1) @t20))) % 0.86/1.07 (define @t22 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.86/1.07 (define @t23 () (@list @t1 @t4 @t3)) % 0.86/1.07 (define @t24 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.86/1.07 (define @t25 () (= @t4 @t24)) % 0.86/1.07 (define @t26 () (not (= @t5 @t24))) % 0.86/1.07 (define @t27 () (@var "V_C" $$unsorted)) % 0.86/1.07 (define @t28 () (tptp.c_in @t1)) % 0.86/1.07 (define @t29 () (tptp.hAPP @t28 @t14)) % 0.86/1.07 (define @t30 () (tptp.hBOOL (tptp.hAPP @t29 @t27))) % 0.86/1.07 (define @t31 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t27 @t2)) % 0.86/1.07 (define @t32 () (tptp.c_Set_Oinsert @t14 @t3 @t1)) % 0.86/1.07 (define @t33 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t27 @t2)) % 0.86/1.07 (define @t34 () (@list @t14 @t3 @t1 @t27)) % 0.86/1.07 (define @t35 () (tptp.hBOOL (tptp.hAPP @t29 @t4))) % 0.86/1.07 (define @t36 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.86/1.07 (define @t37 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t32 @t2)) % 0.86/1.07 (define @t38 () (@list @t4 @t14 @t3 @t1)) % 0.86/1.07 (define @t39 () (@var "V_x" $$unsorted)) % 0.86/1.07 (define @t40 () (tptp.hAPP @t28 @t39)) % 0.86/1.07 (define @t41 () (tptp.hBOOL (tptp.hAPP @t40 @t4))) % 0.86/1.07 (define @t42 () (not @t41)) % 0.86/1.07 (define @t43 () (@var "V_f" $$unsorted)) % 0.86/1.07 (define @t44 () (tptp.c_Set_Oimage @t43 @t4 @t1 @t16)) % 0.86/1.07 (define @t45 () (tptp.hAPP @t43 @t39)) % 0.86/1.07 (define @t46 () (tptp.hAPP @t4 @t39)) % 0.86/1.07 (define @t47 () (tptp.hBOOL @t46)) % 0.86/1.07 (define @t48 () (not @t47)) % 0.86/1.07 (define @t49 () (@var "V_y" $$unsorted)) % 0.86/1.07 (define @t50 () (tptp.c_Set_Oinsert @t49 @t4 @t1)) % 0.86/1.07 (define @t51 () (tptp.hBOOL (tptp.hAPP @t50 @t39))) % 0.86/1.07 (define @t52 () (tptp.c_Set_Ovimage @t43 @t4 @t1 @t16)) % 0.86/1.07 (define @t53 () (tptp.tc_fun @t16 tptp.tc_bool)) % 0.86/1.07 (define @t54 () (@list @t43 @t4 @t16 @t1)) % 0.86/1.07 (define @t55 () (@var "V_xa" $$unsorted)) % 0.86/1.07 (define @t56 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t4 @t2)) % 0.86/1.07 (define @t57 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t27 @t2)) % 0.86/1.07 (define @t58 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t4 @t2)) % 0.86/1.07 (define @t59 () (@list @t4 @t3 @t1 @t27)) % 0.86/1.07 (define @t60 () (tptp.c_Set_Oinsert @t14 @t24 @t1)) % 0.86/1.07 (define @t61 () (not (tptp.class_Orderings_Oorder @t1))) % 0.86/1.07 (define @t62 () (@list @t1 @t14)) % 0.86/1.07 (define @t63 () (= @t14 @t13)) % 0.86/1.07 (define @t64 () (tptp.c_Set_Oinsert @t13 @t24 @t1)) % 0.86/1.07 (define @t65 () (tptp.hBOOL (tptp.hAPP @t40 @t3))) % 0.86/1.07 (define @t66 () (tptp.c_Set_Oinsert @t39 @t24 @t1)) % 0.86/1.07 (define @t67 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t66 @t2)) % 0.86/1.07 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t67 @t3 @t2)) % 0.86/1.07 (define @t69 () (not @t68)) % 0.86/1.07 (define @t70 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.86/1.07 (define @t71 () (not @t70)) % 0.86/1.07 (define @t72 () (tptp.c_Set_Oinsert @t39 @t3 @t1)) % 0.86/1.07 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t4 @t72 @t2)) % 0.86/1.07 (define @t74 () (@list @t4 @t39 @t3 @t1)) % 0.86/1.07 (define @t75 () (tptp.c_Set_Oinsert @t14 @t4 @t1)) % 0.86/1.07 (define @t76 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t60 @t2)) % 0.86/1.07 (define @t77 () (tptp.c_Set_Oinsert @t14 @t76 @t1)) % 0.86/1.07 (define @t78 () (@list @t14 @t4 @t1)) % 0.86/1.07 (define @t79 () (@var "V_k" $$unsorted)) % 0.86/1.07 (define @t80 () (tptp.c_SetInterval_Oord__class_OatLeast @t79 @t1)) % 0.86/1.07 (define @t81 () (tptp.c_SetInterval_Oord__class_OlessThan @t79 @t1)) % 0.86/1.07 (define @t82 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.86/1.07 (define @t83 () (@list @t1 @t79)) % 0.86/1.07 (define @t84 () (@var "V_z" $$unsorted)) % 0.86/1.07 (define @t85 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t84 @t1)) % 0.86/1.07 (define @t86 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t85 @t1)) % 0.86/1.07 (define @t87 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t84 @t1)) % 0.86/1.07 (define @t88 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t49 @t1)) % 0.86/1.07 (define @t89 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t87 @t1)) % 0.86/1.07 (define @t90 () (not (tptp.class_Lattices_Olattice @t1))) % 0.86/1.07 (define @t91 () (@list @t1 @t39 @t49 @t84)) % 0.86/1.07 (define @t92 () (= @t39 @t49)) % 0.86/1.07 (define @t93 () (tptp.c_SetInterval_Oord__class_OlessThan @t49 @t1)) % 0.86/1.07 (define @t94 () (tptp.c_SetInterval_Oord__class_OlessThan @t39 @t1)) % 0.86/1.07 (define @t95 () (@list @t1 @t39 @t49)) % 0.86/1.07 (define @t96 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t39 @t1)) % 0.86/1.07 (define @t97 () (= @t88 @t96)) % 0.86/1.07 (define @t98 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.86/1.07 (define @t99 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 0.86/1.07 (define @t100 () (@var "V_n" $$unsorted)) % 0.86/1.07 (define @t101 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t85 @t1)) % 0.86/1.07 (define @t102 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t49 @t1)) % 0.86/1.07 (define @t103 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t102 @t84 @t1) @t101)) % 0.86/1.07 (define @t104 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t84 @t1)) % 0.86/1.07 (define @t105 () (= @t101 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t104 @t1))) % 0.86/1.07 (define @t106 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.86/1.07 (define @t107 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t57 @t2)) % 0.86/1.07 (define @t108 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t27 @t2)) % 0.86/1.07 (define @t109 () (@list @t4 @t3 @t27 @t1)) % 0.86/1.07 (define @t110 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t53)) % 0.86/1.07 (define @t111 () (tptp.c_Set_Oimage @t43 @t3 @t16 @t1)) % 0.86/1.07 (define @t112 () (tptp.c_Set_Oimage @t43 @t4 @t16 @t1)) % 0.86/1.07 (define @t113 () (@list @t43 @t4 @t16 @t1 @t3)) % 0.86/1.07 (define @t114 () (tptp.c_HOL_Ouminus__class_Ouminus @t49 @t1)) % 0.86/1.07 (define @t115 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t49 @t1)) % 0.86/1.07 (define @t116 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.86/1.07 (define @t117 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t2)) % 0.86/1.07 (define @t118 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t2)) % 0.86/1.07 (define @t119 () (tptp.c_Orderings_Obot__class_Obot @t53)) % 0.86/1.07 (define @t120 () (tptp.c_Set_Oimage @t43 @t119 @t16 @t1)) % 0.86/1.07 (define @t121 () (@list @t43 @t16 @t1)) % 0.86/1.07 (define @t122 () (@var "V_y_H" $$unsorted)) % 0.86/1.07 (define @t123 () (@var "V_x_H" $$unsorted)) % 0.86/1.07 (define @t124 () (tptp.c_HOL_Ominus__class_Ominus @t123 @t122 @t1)) % 0.86/1.07 (define @t125 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t39 @t1)) % 0.86/1.07 (define @t126 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.86/1.07 (define @t127 () (@var "V_Q" $$unsorted)) % 0.86/1.07 (define @t128 () (@var "V_R" $$unsorted)) % 0.86/1.07 (define @t129 () (@var "V_P" $$unsorted)) % 0.86/1.07 (define @t130 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t119 @t3 @t16 @t2)) % 0.86/1.07 (define @t131 () (@list @t4 @t16 @t3 @t1)) % 0.86/1.07 (define @t132 () (tptp.c_Set_Oinsert @t39 @t4 @t1)) % 0.86/1.07 (define @t133 () (@var "V_u" $$unsorted)) % 0.86/1.07 (define @t134 () (@var "V_l" $$unsorted)) % 0.86/1.07 (define @t135 () (not (tptp.c_lessequals @t134 @t133 @t1))) % 0.86/1.07 (define @t136 () (tptp.c_SetInterval_Oord__class_OatLeast @t134 @t1)) % 0.86/1.07 (define @t137 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t133 @t1)) % 0.86/1.07 (define @t138 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t134 @t133 @t1)) % 0.86/1.07 (define @t139 () (@list @t1 @t134 @t133)) % 0.86/1.07 (define @t140 () (tptp.hAPP @t4 tptp.v_x)) % 0.86/1.07 (define @t141 () (tptp.tc_fun tptp.t_a @t16)) % 0.86/1.07 (define @t142 () (tptp.c_Fun_Oid @t1)) % 0.86/1.07 (define @t143 () (@list @t1 @t4)) % 0.86/1.07 (define @t144 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t27 @t2)) % 0.86/1.07 (define @t145 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t27 @t2)) % 0.86/1.07 (define @t146 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t79 @t1)) % 0.86/1.07 (define @t147 () (@var "V_i" $$unsorted)) % 0.86/1.07 (define @t148 () (tptp.hAPP @t28 @t147)) % 0.86/1.07 (define @t149 () (tptp.hBOOL (tptp.hAPP @t148 @t146))) % 0.86/1.07 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t79 @t147 @t1)) % 0.86/1.07 (define @t151 () (not (tptp.class_HOL_Oord @t1))) % 0.86/1.07 (define @t152 () (@list @t1 @t79 @t147)) % 0.86/1.07 (define @t153 () (@list @t1 @t147 @t79)) % 0.86/1.07 (define @t154 () (@var "V_g" $$unsorted)) % 0.86/1.07 (define @t155 () (tptp.c_HOL_Ouminus__class_Ouminus @t13 @t1)) % 0.86/1.07 (define @t156 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1)) % 0.86/1.07 (define @t157 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t156 @t155 @t1)) % 0.86/1.07 (define @t158 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t13 @t1)) % 0.86/1.07 (define @t159 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.86/1.07 (define @t160 () (@list @t1 @t14 @t13)) % 0.86/1.07 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t4 @t3 @t2)) % 0.86/1.07 (define @t162 () (not @t161)) % 0.86/1.07 (define @t163 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t39 @t1)) % 0.86/1.07 (define @t164 () (= @t102 @t163)) % 0.86/1.07 (define @t165 () (@var "V_Y" $$unsorted)) % 0.86/1.07 (define @t166 () (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t2)) % 0.86/1.07 (define @t167 () (tptp.c_HOL_Ouminus__class_Ouminus @t39 @t1)) % 0.86/1.07 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t1)) % 0.86/1.07 (define @t169 () (not @t168)) % 0.86/1.07 (define @t170 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t14 @t13 @t1)) % 0.86/1.07 (define @t171 () (= @t24 @t170)) % 0.86/1.07 (define @t172 () (@var "V_d" $$unsorted)) % 0.86/1.07 (define @t173 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t12 @t172 @t1)) % 0.86/1.07 (define @t174 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t13 @t1)) % 0.86/1.07 (define @t175 () (tptp.c_HOL_Oord__class_Oless @t174 @t173 @t2)) % 0.86/1.07 (define @t176 () (not @t175)) % 0.86/1.07 (define @t177 () (tptp.c_lessequals @t14 @t13 @t1)) % 0.86/1.07 (define @t178 () (not @t177)) % 0.86/1.07 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t12 @t14 @t1)) % 0.86/1.07 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t13 @t172 @t1)) % 0.86/1.07 (define @t181 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t102 @t1) @t102)) % 0.86/1.07 (define @t182 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t156 @t155 @t1)) % 0.86/1.07 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t13 @t1)) % 0.86/1.07 (define @t184 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.86/1.07 (define @t185 () (tptp.c_Set_Ovimage @t43 @t3 @t1 @t16)) % 0.86/1.07 (define @t186 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t53)) % 0.86/1.07 (define @t187 () (@list @t43 @t4 @t3 @t16 @t1)) % 0.86/1.07 (define @t188 () (tptp.c_Set_Oinsert @t14 @t64 @t1)) % 0.86/1.07 (define @t189 () (tptp.c_Set_Oinsert @t79 @t24 @t1)) % 0.86/1.07 (define @t190 () (tptp.c_HOL_Ominus__class_Ominus @t132 @t3 @t2)) % 0.86/1.07 (define @t191 () (@list @t39 @t4 @t1 @t3)) % 0.86/1.07 (define @t192 () (tptp.c_lessequals @t67 @t3 @t2)) % 0.86/1.07 (define @t193 () (not @t192)) % 0.86/1.07 (define @t194 () (tptp.c_lessequals @t4 @t72 @t2)) % 0.86/1.07 (define @t195 () (tptp.hBOOL (tptp.hAPP @t36 @t39))) % 0.86/1.07 (define @t196 () (not @t195)) % 0.86/1.07 (define @t197 () (tptp.hAPP @t3 @t39)) % 0.86/1.07 (define @t198 () (tptp.hBOOL @t197)) % 0.86/1.07 (define @t199 () (@list @t3 @t39 @t4 @t1)) % 0.86/1.07 (define @t200 () (tptp.c_lessequals @t4 @t117 @t2)) % 0.86/1.07 (define @t201 () (= @t36 @t24)) % 0.86/1.07 (define @t202 () (not @t201)) % 0.86/1.07 (define @t203 () (@list @t39 @t4 @t1)) % 0.86/1.07 (define @t204 () (@list @t1 @t39)) % 0.86/1.07 (define @t205 () (tptp.c_lessequals @t12 @t14 @t1)) % 0.86/1.07 (define @t206 () (@list @t1 @t12 @t14 @t13 @t172)) % 0.86/1.07 (define @t207 () (tptp.c_lessequals @t13 @t172 @t1)) % 0.86/1.07 (define @t208 () (@list @t1 @t13 @t172 @t14 @t12)) % 0.86/1.07 (define @t209 () (tptp.c_lessequals @t4 @t57 @t2)) % 0.86/1.07 (define @t210 () (tptp.c_lessequals @t118 @t27 @t2)) % 0.86/1.07 (define @t211 () (@list @t4 @t1)) % 0.86/1.07 (define @t212 () (tptp.c_HOL_Ouminus__class_Ouminus @t156 @t1)) % 0.86/1.07 (define @t213 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.86/1.07 (define @t214 () (tptp.c_HOL_Ouminus__class_Ouminus @t155 @t1)) % 0.86/1.07 (define @t215 () (@list @t1 @t13)) % 0.86/1.07 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t39 @t183 @t1)) % 0.86/1.07 (define @t217 () (@list @t1 @t39 @t14 @t13)) % 0.86/1.07 (define @t218 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t53)) % 0.86/1.07 (define @t219 () (tptp.c_HOL_Oord__class_Oless @t14 @t155 @t1)) % 0.86/1.07 (define @t220 () (tptp.c_HOL_Oord__class_Oless @t13 @t156 @t1)) % 0.86/1.07 (define @t221 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.86/1.07 (define @t222 () (@list @t1 @t13 @t14)) % 0.86/1.07 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t156 @t13 @t1)) % 0.86/1.07 (define @t224 () (tptp.c_HOL_Oord__class_Oless @t155 @t14 @t1)) % 0.86/1.07 (define @t225 () (tptp.hAPP @t28 @t12)) % 0.86/1.07 (define @t226 () (tptp.hBOOL (tptp.hAPP @t225 @t4))) % 0.86/1.07 (define @t227 () (not @t226)) % 0.86/1.07 (define @t228 () (tptp.hBOOL (tptp.hAPP @t225 @t3))) % 0.86/1.07 (define @t229 () (not @t228)) % 0.86/1.07 (define @t230 () (tptp.hBOOL (tptp.hAPP @t225 @t36))) % 0.86/1.07 (define @t231 () (@list @t1 @t12 @t4 @t3)) % 0.86/1.07 (define @t232 () (not @t35)) % 0.86/1.07 (define @t233 () (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_Set_Oinsert @t13 @t4 @t1)))) % 0.86/1.07 (define @t234 () (tptp.c_Set_Oinsert @t13 @t3 @t1)) % 0.86/1.07 (define @t235 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t4 @t3 @t1 @t53)) % 0.86/1.07 (define @t236 () (not (tptp.hBOOL (tptp.hAPP @t235 @t13)))) % 0.86/1.07 (define @t237 () (tptp.hBOOL (tptp.hAPP @t197 @t13))) % 0.86/1.07 (define @t238 () (tptp.hAPP @t3 @t14)) % 0.86/1.07 (define @t239 () (tptp.hBOOL (tptp.hAPP @t238 @t13))) % 0.86/1.07 (define @t240 () (tptp.hBOOL (tptp.hAPP @t225 @t5))) % 0.86/1.07 (define @t241 () (not (tptp.hBOOL (tptp.hAPP @t40 @t24)))) % 0.86/1.07 (define @t242 () (tptp.hBOOL (tptp.hAPP @t129 @t39))) % 0.86/1.07 (define @t243 () (@list @t129 @t39 @t1)) % 0.86/1.07 (define @t244 () (@list @t1 @t12 @t3 @t4)) % 0.86/1.07 (define @t245 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t4 @t3 @t16 @t2)) % 0.86/1.07 (define @t246 () (tptp.hAPP @t28 @t13)) % 0.86/1.07 (define @t247 () (not (tptp.hBOOL (tptp.hAPP @t246 @t245)))) % 0.86/1.07 (define @t248 () (tptp.c_in @t16)) % 0.86/1.07 (define @t249 () (tptp.hAPP @t248 @t39)) % 0.86/1.07 (define @t250 () (not (tptp.hBOOL (tptp.hAPP @t249 @t4)))) % 0.86/1.07 (define @t251 () (tptp.hBOOL (tptp.hAPP @t246 @t197))) % 0.86/1.07 (define @t252 () (tptp.hBOOL (tptp.hAPP @t246 @t238))) % 0.86/1.07 (define @t253 () (tptp.hAPP @t248 @t14)) % 0.86/1.07 (define @t254 () (not (tptp.hBOOL (tptp.hAPP @t253 @t4)))) % 0.86/1.07 (define @t255 () (tptp.hBOOL (tptp.hAPP @t225 @t118))) % 0.86/1.07 (define @t256 () (not @t255)) % 0.86/1.07 (define @t257 () (tptp.hBOOL (tptp.hAPP @t225 @t166))) % 0.86/1.07 (define @t258 () (@list @t1 @t12 @t4)) % 0.86/1.07 (define @t259 () (@list @t1 @t39 @t4)) % 0.86/1.07 (define @t260 () (not @t230)) % 0.86/1.07 (define @t261 () (not @t242)) % 0.86/1.07 (define @t262 () (@var "V_S" $$unsorted)) % 0.86/1.07 (define @t263 () (tptp.c_COMBC @t28 @t262 @t1 @t2 tptp.tc_bool)) % 0.86/1.07 (define @t264 () (tptp.c_COMBC @t28 @t128 @t1 @t2 tptp.tc_bool)) % 0.86/1.07 (define @t265 () (@list @t1 @t128 @t262)) % 0.86/1.07 (define @t266 () (= @t4 @t3)) % 0.86/1.07 (define @t267 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t3 @t16 @t2)) % 0.86/1.07 (define @t268 () (tptp.hAPP @t248 @t13)) % 0.86/1.07 (define @t269 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t3 @t1 @t53)) % 0.86/1.07 (define @t270 () (tptp.hAPP @t43 @t14)) % 0.86/1.07 (define @t271 () (tptp.hAPP @t248 @t270)) % 0.86/1.07 (define @t272 () (tptp.hBOOL (tptp.hAPP @t271 @t3))) % 0.86/1.07 (define @t273 () (tptp.hBOOL (tptp.hAPP @t29 @t185))) % 0.86/1.07 (define @t274 () (tptp.hAPP @t28 @t270)) % 0.86/1.07 (define @t275 () (tptp.c_Set_Ovimage @t43 @t4 @t16 @t1)) % 0.86/1.07 (define @t276 () (tptp.c_Set_Ovimage @t43 @t3 @t16 @t1)) % 0.86/1.07 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t49 @t39 @t1)) % 0.86/1.07 (define @t278 () (not @t277)) % 0.86/1.07 (define @t279 () (not (tptp.c_HOL_Oord__class_Oless @t84 @t49 @t1))) % 0.86/1.07 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t84 @t39 @t1)) % 0.86/1.07 (define @t281 () (@list @t1 @t84 @t39 @t49)) % 0.86/1.07 (define @t282 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t27 @t2))) % 0.86/1.07 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t4 @t27 @t2)) % 0.86/1.07 (define @t284 () (@list @t4 @t27 @t1 @t3)) % 0.86/1.07 (define @t285 () (tptp.c_HOL_Oord__class_Oless @t39 @t49 @t1)) % 0.86/1.07 (define @t286 () (not @t285)) % 0.86/1.07 (define @t287 () (not (tptp.c_HOL_Oord__class_Oless @t49 @t84 @t1))) % 0.86/1.07 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t39 @t84 @t1)) % 0.86/1.07 (define @t289 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.86/1.07 (define @t290 () (@list @t1 @t39 @t84 @t49)) % 0.86/1.07 (define @t291 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.86/1.07 (define @t292 () (@list @t1 @t49 @t84 @t39)) % 0.86/1.07 (define @t293 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t27 @t2)) % 0.86/1.07 (define @t294 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t57 @t2)) % 0.86/1.07 (define @t295 () (@list @t3 @t27 @t1 @t4)) % 0.86/1.07 (define @t296 () (tptp.hAPP @t154 tptp.v_x)) % 0.86/1.07 (define @t297 () (tptp.hAPP @t43 tptp.v_x)) % 0.86/1.07 (define @t298 () (not (tptp.class_Lattices_Olattice @t16))) % 0.86/1.07 (define @t299 () (@list @t16 @t43 @t154)) % 0.86/1.07 (define @t300 () (tptp.c_Set_Oinsert @t133 @t24 @t1)) % 0.86/1.07 (define @t301 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t134 @t133 @t1)) % 0.86/1.07 (define @t302 () (not @t194)) % 0.86/1.07 (define @t303 () (@list @t4 @t39 @t1 @t3)) % 0.86/1.07 (define @t304 () (not @t65)) % 0.86/1.07 (define @t305 () (@var "V_m" $$unsorted)) % 0.86/1.07 (define @t306 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t305 @t133 @t1)) % 0.86/1.07 (define @t307 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t134 @t305 @t1)) % 0.86/1.07 (define @t308 () (@list @t1 @t134 @t305 @t133)) % 0.86/1.07 (define @t309 () (tptp.c_SetInterval_Oord__class_OatLeast @t133 @t1)) % 0.86/1.07 (define @t310 () (not @t73)) % 0.86/1.07 (define @t311 () (= @t4 @t119)) % 0.86/1.07 (define @t312 () (tptp.c_Complete__Lattice_OInf__class_OInf @t4 @t1)) % 0.86/1.07 (define @t313 () (@list @t1 @t14 @t4)) % 0.86/1.07 (define @t314 () (tptp.c_Complete__Lattice_OSup__class_OSup @t4 @t1)) % 0.86/1.07 (define @t315 () (tptp.hBOOL (tptp.hAPP @t148 @t81))) % 0.86/1.07 (define @t316 () (tptp.c_HOL_Oord__class_Oless @t147 @t79 @t1)) % 0.86/1.07 (define @t317 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t32 @t2)) % 0.86/1.07 (define @t318 () (@var "T_aa" $$unsorted)) % 0.86/1.07 (define @t319 () (tptp.c_in @t318)) % 0.86/1.07 (define @t320 () (tptp.c_Set_Oinsert @t14 @t36 @t1)) % 0.86/1.07 (define @t321 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t49 @t1)) % 0.86/1.07 (define @t322 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t39 @t1)) % 0.86/1.07 (define @t323 () (= @t197 @t24)) % 0.86/1.07 (define @t324 () (@list @t1)) % 0.86/1.07 (define @t325 () (@list @t1 @t3)) % 0.86/1.07 (define @t326 () (@var "V_I" $$unsorted)) % 0.86/1.07 (define @t327 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t28 @t79) @t326)))) % 0.86/1.07 (define @t328 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t326 @t4 @t1 @t53)) % 0.86/1.07 (define @t329 () (tptp.hAPP @t4 @t79)) % 0.86/1.07 (define @t330 () (@list @t4 @t79 @t326 @t1 @t16)) % 0.86/1.07 (define @t331 () (@list @t16 @t4 @t1 @t3)) % 0.86/1.07 (define @t332 () (tptp.c_lessequals @t27 @t4 @t2)) % 0.86/1.07 (define @t333 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t27 @t2) @t294)) % 0.86/1.07 (define @t334 () (not @t332)) % 0.86/1.07 (define @t335 () (tptp.hAPP @t154 @t39)) % 0.86/1.07 (define @t336 () (tptp.hAPP @t43 @t335)) % 0.86/1.07 (define @t337 () (tptp.hAPP (tptp.c_Fun_Ocomp @t43 @t154 @t16 @t1 @t18) @t39)) % 0.86/1.07 (define @t338 () (@var "V_nat_H" $$unsorted)) % 0.86/1.07 (define @t339 () (@var "V_nat" $$unsorted)) % 0.86/1.07 (define @t340 () (tptp.hBOOL (tptp.hAPP @t5 @t39))) % 0.86/1.07 (define @t341 () (not @t198)) % 0.86/1.07 (define @t342 () (@list @t4 @t3 @t1 @t39)) % 0.86/1.07 (define @t343 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t84 @t1)) % 0.86/1.07 (define @t344 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t343 @t1)) % 0.86/1.07 (define @t345 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t88 @t84 @t1) @t344)) % 0.86/1.07 (define @t346 () (= @t344 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t87 @t1))) % 0.86/1.07 (define @t347 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t31 @t2)) % 0.86/1.07 (define @t348 () (not (tptp.c_lessequals @t134 @t305 @t1))) % 0.86/1.07 (define @t349 () (not (tptp.c_lessequals @t305 @t133 @t1))) % 0.86/1.07 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t155 @t156 @t1)) % 0.86/1.07 (define @t351 () (tptp.c_SetInterval_Oord__class_OatMost @t79 @t1)) % 0.86/1.07 (define @t352 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t305 @t133 @t1)) % 0.86/1.07 (define @t353 () (@list @t27 @t4 @t3 @t1)) % 0.86/1.07 (define @t354 () (tptp.c_HOL_Ominus__class_Ominus @t293 @t31 @t2)) % 0.86/1.07 (define @t355 () (@list @t1 @t39 @t3 @t4)) % 0.86/1.07 (define @t356 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t102 @t104 @t1)) % 0.86/1.07 (define @t357 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t343 @t1)) % 0.86/1.07 (define @t358 () (tptp.hBOOL (tptp.hAPP @t269 @t13))) % 0.86/1.07 (define @t359 () (tptp.hAPP @t28 @t45)) % 0.86/1.07 (define @t360 () (tptp.hBOOL (tptp.hAPP @t359 @t112))) % 0.86/1.07 (define @t361 () (tptp.c_lessequals @t39 @t49 @t1)) % 0.86/1.07 (define @t362 () (not @t361)) % 0.86/1.07 (define @t363 () (tptp.c_lessequals @t13 @t14 @t1)) % 0.86/1.07 (define @t364 () (not @t363)) % 0.86/1.07 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t13 @t14 @t1)) % 0.86/1.07 (define @t366 () (tptp.c_lessequals @t122 @t123 @t1)) % 0.86/1.07 (define @t367 () (tptp.c_lessequals @t49 @t39 @t1)) % 0.86/1.07 (define @t368 () (not (= @t115 @t124))) % 0.86/1.07 (define @t369 () (@list @t1 @t39 @t49 @t123 @t122)) % 0.86/1.07 (define @t370 () (not @t367)) % 0.86/1.07 (define @t371 () (tptp.c_lessequals @t49 @t84 @t1)) % 0.86/1.07 (define @t372 () (not @t371)) % 0.86/1.07 (define @t373 () (not (tptp.c_lessequals @t84 @t49 @t1))) % 0.86/1.07 (define @t374 () (tptp.c_lessequals @t183 @t39 @t1)) % 0.86/1.07 (define @t375 () (not @t374)) % 0.86/1.07 (define @t376 () (tptp.c_lessequals @t14 @t39 @t1)) % 0.86/1.07 (define @t377 () (tptp.c_lessequals @t13 @t39 @t1)) % 0.86/1.07 (define @t378 () (tptp.c_lessequals @t39 @t14 @t1)) % 0.86/1.07 (define @t379 () (not @t378)) % 0.86/1.07 (define @t380 () (tptp.c_lessequals @t39 @t183 @t1)) % 0.86/1.07 (define @t381 () (tptp.c_lessequals @t39 @t13 @t1)) % 0.86/1.07 (define @t382 () (not @t381)) % 0.86/1.07 (define @t383 () (tptp.c_lessequals @t102 @t84 @t1)) % 0.86/1.07 (define @t384 () (not @t383)) % 0.86/1.07 (define @t385 () (tptp.c_lessequals @t39 @t84 @t1)) % 0.86/1.07 (define @t386 () (@var "V_X" $$unsorted)) % 0.86/1.07 (define @t387 () (tptp.hAPP @t43 @t386)) % 0.86/1.07 (define @t388 () (tptp.c_lessequals @t88 @t39 @t1)) % 0.86/1.07 (define @t389 () (tptp.c_lessequals @t88 @t49 @t1)) % 0.86/1.07 (define @t390 () (tptp.c_lessequals @t39 @t158 @t1)) % 0.86/1.07 (define @t391 () (not @t385)) % 0.86/1.07 (define @t392 () (tptp.c_lessequals @t39 @t343 @t1)) % 0.86/1.07 (define @t393 () (= @t102 @t49)) % 0.86/1.07 (define @t394 () (tptp.c_lessequals @t155 @t156 @t1)) % 0.86/1.07 (define @t395 () (tptp.c_HOL_Oord__class_Oless @t39 @t39 @t1)) % 0.86/1.07 (define @t396 () (not @t395)) % 0.86/1.07 (define @t397 () (tptp.c_lessequals @t39 @t39 @t1)) % 0.86/1.07 (define @t398 () (@list @t1 @t49 @t39)) % 0.86/1.07 (define @t399 () (= @t88 @t39)) % 0.86/1.07 (define @t400 () (not @t376)) % 0.86/1.07 (define @t401 () (not @t377)) % 0.86/1.07 (define @t402 () (@list @t1 @t14 @t13 @t39)) % 0.86/1.07 (define @t403 () (tptp.c_lessequals @t39 @t102 @t1)) % 0.86/1.07 (define @t404 () (tptp.c_lessequals @t49 @t102 @t1)) % 0.86/1.07 (define @t405 () (tptp.c_lessequals @t84 @t39 @t1)) % 0.86/1.07 (define @t406 () (not @t390)) % 0.86/1.07 (define @t407 () (tptp.c_lessequals @t158 @t39 @t1)) % 0.86/1.07 (define @t408 () (not @t392)) % 0.86/1.07 (define @t409 () (tptp.c_lessequals @t14 @t155 @t1)) % 0.86/1.07 (define @t410 () (tptp.c_lessequals @t13 @t156 @t1)) % 0.86/1.07 (define @t411 () (tptp.c_lessequals @t156 @t13 @t1)) % 0.86/1.07 (define @t412 () (tptp.c_lessequals @t155 @t14 @t1)) % 0.86/1.07 (define @t413 () (not (tptp.hBOOL (tptp.hAPP @t29 @t386)))) % 0.86/1.07 (define @t414 () (tptp.c_Set_Oimage @t154 @t386 @t1 @t16)) % 0.86/1.07 (define @t415 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.86/1.07 (define @t416 () (tptp.c_in tptp.t_a)) % 0.86/1.07 (define @t417 () (tptp.hAPP @t416 tptp.v_x)) % 0.86/1.07 (define @t418 () (tptp.c_COMBC @t416 @t262 tptp.t_a @t415 tptp.tc_bool)) % 0.86/1.07 (define @t419 () (tptp.c_COMBC @t416 @t128 tptp.t_a @t415 tptp.tc_bool)) % 0.86/1.07 (define @t420 () (@list @t128 @t262)) % 0.86/1.07 (define @t421 () (tptp.tc_fun @t1 @t16)) % 0.86/1.07 (define @t422 () (tptp.c_HOL_Oord__class_Oless @t43 @t154 @t421)) % 0.86/1.07 (define @t423 () (not @t422)) % 0.86/1.07 (define @t424 () (tptp.c_lessequals @t43 @t154 @t421)) % 0.86/1.07 (define @t425 () (not (tptp.class_HOL_Oord @t16))) % 0.86/1.07 (define @t426 () (@list @t16 @t43 @t154 @t1)) % 0.86/1.07 (define @t427 () (not @t424)) % 0.86/1.07 (define @t428 () (tptp.c_lessequals @t154 @t43 @t421)) % 0.86/1.07 (define @t429 () (@var "V_D" $$unsorted)) % 0.86/1.07 (define @t430 () (tptp.c_lessequals @t3 @t27 @t2)) % 0.86/1.07 (define @t431 () (not @t430)) % 0.86/1.07 (define @t432 () (tptp.c_lessequals @t4 @t27 @t2)) % 0.86/1.07 (define @t433 () (not @t432)) % 0.86/1.07 (define @t434 () (not (tptp.c_lessequals @t3 @t429 @t2))) % 0.86/1.07 (define @t435 () (@list @t4 @t3 @t1 @t27 @t429)) % 0.86/1.07 (define @t436 () (tptp.c_lessequals @t5 @t27 @t2)) % 0.86/1.07 (define @t437 () (not @t436)) % 0.86/1.07 (define @t438 () (tptp.c_ATP__Linkup_Osko__Predicate__Xpredicate1I__1__1 @t129 @t127 @t1)) % 0.86/1.07 (define @t439 () (tptp.c_lessequals @t129 @t127 @t2)) % 0.86/1.07 (define @t440 () (@list @t129 @t127 @t1)) % 0.86/1.07 (define @t441 () (tptp.c_lessequals @t27 @t3 @t2)) % 0.86/1.07 (define @t442 () (tptp.c_lessequals @t27 @t36 @t2)) % 0.86/1.07 (define @t443 () (= @t170 @t24)) % 0.86/1.07 (define @t444 () (@list @t39 @t1)) % 0.86/1.07 (define @t445 () (not @t365)) % 0.86/1.07 (define @t446 () (= @t174 @t24)) % 0.86/1.07 (define @t447 () (@list @t4 @t1 @t3)) % 0.86/1.07 (define @t448 () (not @t205)) % 0.86/1.07 (define @t449 () (not @t207)) % 0.86/1.07 (define @t450 () (tptp.c_lessequals @t12 @t172 @t1)) % 0.86/1.07 (define @t451 () (not @t450)) % 0.86/1.07 (define @t452 () (@list @t1 @t14 @t13 @t12 @t172)) % 0.86/1.07 (define @t453 () (tptp.c_SetInterval_Oord__class_OatMost @t133 @t1)) % 0.86/1.07 (define @t454 () (tptp.c_SetInterval_Oord__class_OlessThan @t133 @t1)) % 0.86/1.07 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t158 @t39 @t1)) % 0.86/1.07 (define @t456 () (= @t14 @t12)) % 0.86/1.07 (define @t457 () (= @t14 @t172)) % 0.86/1.07 (define @t458 () (not (= @t188 (tptp.c_Set_Oinsert @t12 (tptp.c_Set_Oinsert @t172 @t24 @t1) @t1)))) % 0.86/1.07 (define @t459 () (@list @t14 @t13 @t1 @t12 @t172)) % 0.86/1.07 (define @t460 () (= @t13 @t12)) % 0.86/1.07 (define @t461 () (= @t13 @t172)) % 0.86/1.07 (define @t462 () (tptp.c_SetInterval_Oord__class_OlessThan @t134 @t1)) % 0.86/1.07 (define @t463 () (tptp.c_SetInterval_Oord__class_OatLeast @t49 @t1)) % 0.86/1.07 (define @t464 () (tptp.c_SetInterval_Oord__class_OatLeast @t39 @t1)) % 0.86/1.07 (define @t465 () (tptp.c_Set_Oinsert @t14 @t4 @t16)) % 0.86/1.07 (define @t466 () (@list @t14 @t4 @t16 @t3 @t1)) % 0.86/1.07 (define @t467 () (= @t24 @t174)) % 0.86/1.07 (define @t468 () (@var "V_ts" $$unsorted)) % 0.86/1.07 (define @t469 () (@var "V_G_H" $$unsorted)) % 0.86/1.07 (define @t470 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t469 @t468 @t1))) % 0.86/1.07 (define @t471 () (@var "V_G" $$unsorted)) % 0.86/1.07 (define @t472 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t471 @t468 @t1)) % 0.86/1.07 (define @t473 () (@list @t471 @t468 @t1 @t469)) % 0.86/1.07 (define @t474 () (tptp.c_Set_Oinsert @t14 @t3 @t16)) % 0.86/1.07 (define @t475 () (@list @t43 @t14 @t3 @t16 @t1)) % 0.86/1.07 (define @t476 () (@var "T_d" $$unsorted)) % 0.86/1.07 (define @t477 () (@var "V_h" $$unsorted)) % 0.86/1.07 (define @t478 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t88 @t1) @t88)) % 0.86/1.07 (define @t479 () (@var "V_r" $$unsorted)) % 0.86/1.07 (define @t480 () (tptp.c_Suc @t100)) % 0.86/1.07 (define @t481 () (@list @t100)) % 0.86/1.07 (define @t482 () (or (= @t77 @t4) @t232)) % 0.86/1.07 (define @t483 () (forall @t78 @t482)) % 0.86/1.07 (define @t484 () (@var "V_M" $$unsorted)) % 0.86/1.07 (define @t485 () (@list @t4 @t3 @t16 @t484 @t1)) % 0.86/1.07 (define @t486 () (tptp.c_SetInterval_Oord__class_OatMost @t49 @t1)) % 0.86/1.07 (define @t487 () (tptp.c_SetInterval_Oord__class_OatMost @t39 @t1)) % 0.86/1.07 (define @t488 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t326 @t4 @t1 @t53)) % 0.86/1.07 (define @t489 () (@var "T_e" $$unsorted)) % 0.86/1.07 (define @t490 () (@var "V_g_H" $$unsorted)) % 0.86/1.07 (define @t491 () (@var "V_f_H" $$unsorted)) % 0.86/1.07 (define @t492 () (tptp.hBOOL (tptp.hAPP @t52 @t39))) % 0.86/1.07 (define @t493 () (tptp.hBOOL (tptp.hAPP @t4 @t45))) % 0.86/1.07 (define @t494 () (tptp.c_HOL_Oord__class_Oless @t123 @t122 @t1)) % 0.86/1.07 (define @t495 () (= @t5 @t3)) % 0.86/1.07 (define @t496 () (tptp.c_lessequals @t3 @t4 @t2)) % 0.86/1.07 (define @t497 () (not @t496)) % 0.86/1.07 (define @t498 () (tptp.c_lessequals @t166 @t117 @t2)) % 0.86/1.07 (define @t499 () (tptp.c_lessequals @t132 @t3 @t2)) % 0.86/1.07 (define @t500 () (not @t499)) % 0.86/1.07 (define @t501 () (not @t442)) % 0.86/1.07 (define @t502 () (@list @t43 @t154 @t18 @t16)) % 0.86/1.07 (define @t503 () (@var "V_t" $$unsorted)) % 0.86/1.07 (define @t504 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t471 @t468 tptp.t_a)) % 0.86/1.07 (define @t505 () (not @t504)) % 0.86/1.07 (define @t506 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 @t471 @t100)) % 0.86/1.07 (define @t507 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.86/1.07 (define @t508 () (tptp.c_in @t507)) % 0.86/1.07 (define @t509 () (@var "V_na" $$unsorted)) % 0.86/1.07 (define @t510 () (tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 @t100 @t468)) % 0.86/1.07 (define @t511 () (tptp.hAPP @t508 @t39)) % 0.86/1.07 (define @t512 () (@var "V_nb" $$unsorted)) % 0.86/1.07 (define @t513 () (@var "V_ts_H" $$unsorted)) % 0.86/1.07 (define @t514 () (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple @t1) tptp.tc_bool)) % 0.86/1.07 (define @t515 () (tptp.c_lessequals @t147 @t79 @t1)) % 0.86/1.07 (define @t516 () (tptp.hBOOL (tptp.hAPP @t148 @t351))) % 0.86/1.07 (define @t517 () (not (tptp.hBOOL (tptp.hAPP @t148 @t4)))) % 0.86/1.07 (define @t518 () (tptp.hAPP @t484 @t147)) % 0.86/1.07 (define @t519 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t16))) % 0.86/1.07 (define @t520 () (tptp.c_lessequals @t79 @t147 @t1)) % 0.86/1.07 (define @t521 () (tptp.hBOOL (tptp.hAPP @t148 @t80))) % 0.86/1.07 (define @t522 () (tptp.hAPP @t28 (tptp.c_ATP__Linkup_Osko__Set__XsubsetI__1__1 @t4 @t3 @t1))) % 0.86/1.07 (define @t523 () (tptp.hAPP @t28 (tptp.c_ATP__Linkup_Osko__Set__Xsubset__iff__1__1 @t4 @t3 @t1))) % 0.86/1.07 (define @t524 () (tptp.c_lessequals @t128 @t262 @t2)) % 0.86/1.07 (define @t525 () (tptp.c_lessequals @t264 @t263 @t2)) % 0.86/1.07 (define @t526 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 @t43 @t154 @t1 @t16)) % 0.86/1.07 (define @t527 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 @t43 @t154 @t1 @t16)) % 0.86/1.07 (define @t528 () (tptp.c_lessequals @t464 @t463 @t2)) % 0.86/1.07 (define @t529 () (tptp.c_lessequals @t174 @t173 @t2)) % 0.86/1.07 (define @t530 () (not @t529)) % 0.86/1.07 (define @t531 () (tptp.c_lessequals @t487 @t486 @t2)) % 0.86/1.07 (define @t532 () (tptp.c_lessequals @t322 @t321 @t2)) % 0.86/1.07 (define @t533 () (tptp.c_lessequals @t94 @t93 @t2)) % 0.86/1.07 (define @t534 () (not (tptp.c_lessequals @t170 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t12 @t172 @t1) @t2))) % 0.86/1.07 (define @t535 () (tptp.c_Orderings_Obot__class_Obot @t415)) % 0.86/1.07 (define @t536 () (not @t439)) % 0.86/1.07 (define @t537 () (tptp.hBOOL (tptp.hAPP @t127 @t39))) % 0.86/1.07 (define @t538 () (@list @t127 @t39 @t129 @t1)) % 0.86/1.07 (define @t539 () (tptp.hAPP @t28 @t503)) % 0.86/1.07 (define @t540 () (tptp.hBOOL (tptp.hAPP @t262 @t39))) % 0.86/1.07 (define @t541 () (tptp.hBOOL (tptp.hAPP @t40 @t262))) % 0.86/1.07 (define @t542 () (tptp.tc_fun @t507 tptp.tc_bool)) % 0.86/1.07 (define @t543 () (tptp.c_lessequals tptp.v_tsa tptp.v_Ga @t542)) % 0.86/1.07 (define @t544 () (tptp.hAPP @t508 tptp.v_xa)) % 0.86/1.07 (define @t545 () (tptp.hBOOL (tptp.hAPP @t544 tptp.v_tsa))) % 0.86/1.07 (define @t546 () (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_x tptp.v_xa tptp.t_a)) % 0.86/1.07 (define @t547 () (@var "V_xb" $$unsorted)) % 0.86/1.07 (define @t548 () (@var "T_1" $$unsorted)) % 0.86/1.07 (define @t549 () (@var "T_2" $$unsorted)) % 0.86/1.07 (define @t550 () (tptp.tc_fun @t549 @t548)) % 0.86/1.07 (define @t551 () (@list @t549 @t548)) % 0.86/1.07 (define @t552 () (not (tptp.class_Lattices_Olattice @t548))) % 0.86/1.07 (define @t553 () (not @t545)) % 0.86/1.07 (define @t554 () (tptp.c_HOL_Ominus__class_Ominus tptp.v_tsa (tptp.c_Set_Oinsert tptp.v_xa (tptp.c_Orderings_Obot__class_Obot @t542) @t507) @t542)) % 0.86/1.07 (define @t555 () (tptp.c_Set_Oinsert tptp.v_xa @t554 @t507)) % 0.86/1.07 (define @t556 () (= tptp.v_tsa @t555)) % 0.86/1.07 (define @t557 () (or @t556 @t553)) % 0.86/1.07 (define @t558 () (tptp.hBOOL (tptp.hAPP @t544 tptp.v_Ga))) % 0.86/1.07 (define @t559 () (not @t558)) % 0.86/1.07 (define @t560 () (or @t546 @t559)) % 0.86/1.07 (define @t561 () (@list true false)) % 0.86/1.07 (define @t562 () (tptp.c_lessequals @t555 tptp.v_Ga @t542)) % 0.86/1.07 (define @t563 () (not @t562)) % 0.86/1.07 (define @t564 () (or @t558 @t563)) % 0.86/1.07 (define @t565 () (and @t543 @t556)) % 0.86/1.07 (assume @p1 (forall @t8 (= @t7 @t5))) % 0.86/1.07 (assume @p2 (forall @t10 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t2) @t9))) % 0.86/1.07 (assume @p3 (forall (@list @t14 @t13 @t18 @t16 @t1 @t12 @t11) (or (not (= @t19 (tptp.c_Fun_Ocomp @t17 @t12 @t16 @t16 @t1))) (= @t15 (tptp.hAPP @t12 @t11))))) % 0.86/1.07 (assume @p4 (forall @t23 (or @t22 @t21 (= @t3 @t20)))) % 0.86/1.07 (assume @p5 (forall @t23 (or @t22 @t21 (= @t4 @t20)))) % 0.86/1.07 (assume @p6 (forall @t8 (or @t26 @t25))) % 0.86/1.07 (assume @p7 (forall @t8 (or @t26 (= @t3 @t24)))) % 0.86/1.07 (assume @p8 (forall @t34 (or (= @t33 @t31) @t30))) % 0.86/1.07 (assume @p9 (forall @t38 (or (= @t37 @t36) @t35))) % 0.86/1.07 (assume @p10 (forall (@list @t43 @t39 @t4 @t1 @t16) (or (= (tptp.c_Set_Oinsert @t45 @t44 @t16) @t44) @t42))) % 0.86/1.07 (assume @p11 (forall (@list @t49 @t4 @t1 @t39) (or @t51 @t48))) % 0.86/1.07 (assume @p12 (forall @t54 (= (tptp.c_Set_Ovimage @t43 (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t53) @t1 @t16) (tptp.c_HOL_Ouminus__class_Ouminus @t52 @t2)))) % 0.86/1.07 (assume @p13 (forall (@list @t39 @t55 @t1) (or (not (= (tptp.c_Set_Oinsert @t39 @t55 @t1) @t24)) (tptp.hBOOL (tptp.hAPP @t40 @t55))))) % 0.86/1.07 (assume @p14 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t31 @t2) @t58 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t57 @t2) @t56 @t2)))) % 0.86/1.07 (assume @p15 (forall @t62 (or @t61 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t14 @t14 @t1) @t60)))) % 0.86/1.07 (assume @p16 (forall (@list @t14 @t1 @t13) (or (not (= @t60 @t64)) @t63))) % 0.86/1.07 (assume @p17 (forall @t74 (or @t73 @t71 @t69 @t65))) % 0.86/1.07 (assume @p18 (forall @t78 (= @t77 @t75))) % 0.86/1.07 (assume @p19 (forall @t83 (or @t82 (= (tptp.c_HOL_Ouminus__class_Ouminus @t81 @t2) @t80)))) % 0.86/1.07 (assume @p20 (forall @t91 (or @t90 (tptp.c_lessequals @t89 @t86 @t1)))) % 0.86/1.07 (assume @p21 (forall @t95 (or @t82 (not (= @t94 @t93)) @t92))) % 0.86/1.07 (assume @p22 (forall @t8 (or (= @t7 @t3) @t71))) % 0.86/1.07 (assume @p23 (forall @t95 (or @t90 @t97))) % 0.86/1.07 (assume @p24 (forall @t95 (or @t98 @t97))) % 0.86/1.07 (assume @p25 (forall @t8 (= @t36 @t99))) % 0.86/1.07 (assume @p26 (forall (@list @t1 @t100) (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost @t100 @t1) (tptp.c_SetInterval_Oord__class_OatLeast @t100 @t1) @t2) (tptp.c_Set_Oinsert @t100 @t24 @t1))))) % 0.86/1.07 (assume @p27 (forall @t91 (or @t90 @t103))) % 0.86/1.07 (assume @p28 (forall @t91 (or @t90 @t105))) % 0.86/1.07 (assume @p29 (forall @t91 (or @t106 @t105))) % 0.86/1.07 (assume @p30 (forall @t91 (or @t106 @t103))) % 0.86/1.07 (assume @p31 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t27 @t2) @t107))) % 0.86/1.07 (assume @p32 (forall @t109 (= @t107 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t108 @t2)))) % 0.86/1.07 (assume @p33 (forall @t113 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t112 @t111 @t2) (tptp.c_Set_Oimage @t43 @t110 @t16 @t1) @t2))) % 0.86/1.07 (assume @p34 (forall @t95 (or @t116 (= @t115 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t114 @t1))))) % 0.86/1.07 (assume @p35 (forall @t8 (= @t118 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t117 @t2)))) % 0.86/1.07 (assume @p36 (forall @t121 (= @t120 @t24))) % 0.86/1.07 (assume @p37 (forall (@list @t1 @t39 @t123 @t122) (or @t126 (not (= @t125 @t124)) (= @t123 @t122)))) % 0.86/1.07 (assume @p38 (forall (@list @t1 @t55 @t49 @t39) (or @t126 (not (= (tptp.c_HOL_Ominus__class_Ominus @t55 @t49 @t1) @t125)) (= @t55 @t49)))) % 0.86/1.07 (assume @p39 (forall (@list @t55 @t39 @t1) (= (tptp.c_Set_Oinsert @t55 @t66 @t1) (tptp.c_Set_Oinsert @t39 (tptp.c_Set_Oinsert @t55 @t24 @t1) @t1)))) % 0.86/1.07 (assume @p40 (forall @t8 (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t3 @t2) @t118))) % 0.86/1.07 (assume @p41 (forall (@list @t129 @t127 @t16 @t18 @t1 @t128) (= (tptp.hAPP (tptp.c_COMBC @t129 @t127 @t16 @t18 @t1) @t128) (tptp.hAPP (tptp.hAPP @t129 @t128) @t127)))) % 0.86/1.07 (assume @p42 (forall @t131 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t130 @t2) @t4))) % 0.86/1.07 (assume @p43 (forall (@list @t39 @t49 @t4 @t1) (= (tptp.c_Set_Oinsert @t39 @t50 @t1) (tptp.c_Set_Oinsert @t49 @t132 @t1)))) % 0.86/1.07 (assume @p44 (forall @t139 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t138 @t137 @t2) @t136) @t135))) % 0.86/1.07 (assume @p45 (forall (@list @t16 @t4 @t3) (or (not (tptp.class_HOL_Ominus @t16)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t141) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t140 (tptp.hAPP @t3 tptp.v_x) @t16))))) % 0.86/1.07 (assume @p46 (forall @t143 (= (tptp.c_Set_Ovimage @t142 @t4 @t1 @t1) @t4))) % 0.86/1.07 (assume @p47 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t27 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 @t144 @t2)))) % 0.86/1.07 (assume @p48 (forall @t152 (or @t151 @t150 (not @t149)))) % 0.86/1.07 (assume @p49 (forall @t153 (or @t151 @t149 (not @t150)))) % 0.86/1.07 (assume @p50 (forall (@list @t154 @t43 @t18 @t16 @t1 @t39) (= (tptp.c_Set_Ovimage (tptp.c_Fun_Ocomp @t154 @t43 @t18 @t16 @t1) @t39 @t1 @t16) (tptp.c_Set_Ovimage @t43 (tptp.c_Set_Ovimage @t154 @t39 @t18 @t16) @t1 @t18)))) % 0.86/1.07 (assume @p51 (forall @t160 (or @t159 (= @t158 (tptp.c_HOL_Ouminus__class_Ouminus @t157 @t1))))) % 0.86/1.07 (assume @p52 (forall @t74 (or @t73 @t71 @t69 @t162))) % 0.86/1.07 (assume @p53 (forall @t8 (= @t5 @t9))) % 0.86/1.07 (assume @p54 (forall @t95 (or @t106 @t164))) % 0.86/1.07 (assume @p55 (forall @t95 (or @t90 @t164))) % 0.86/1.07 (assume @p56 (forall (@list @t1 @t165) (= (tptp.c_Set_Oimage @t142 @t165 @t1 @t1) @t165))) % 0.86/1.07 (assume @p57 (forall @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t166 @t117 @t2)))) % 0.86/1.07 (assume @p58 (forall @t95 (or @t116 (= (tptp.c_HOL_Ouminus__class_Ouminus @t88 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t114 @t1))))) % 0.86/1.07 (assume @p59 (forall @t160 (or @t159 (= (tptp.c_HOL_Ouminus__class_Ouminus @t158 @t1) @t157)))) % 0.86/1.07 (assume @p60 (forall @t160 (or @t61 (not @t171) @t169))) % 0.86/1.07 (assume @p61 (forall @t160 (or @t61 @t171 @t168))) % 0.86/1.07 (assume @p62 (forall @t78 (= @t75 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t4 @t2)))) % 0.86/1.07 (assume @p63 (forall (@list @t1 @t13 @t172 @t12 @t14) (or @t61 @t180 @t179 @t178 @t176))) % 0.86/1.07 (assume @p64 (forall @t8 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t5 @t2) @t5))) % 0.86/1.07 (assume @p65 (forall @t95 (or @t106 @t181))) % 0.86/1.07 (assume @p66 (forall @t95 (or @t90 @t181))) % 0.86/1.07 (assume @p67 (forall (@list @t1 @t43 @t16) (= @t24 @t120))) % 0.86/1.07 (assume @p68 (forall @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t166 @t117 @t2)))) % 0.86/1.07 (assume @p69 (forall @t95 (or @t116 (= (tptp.c_HOL_Ouminus__class_Ouminus @t102 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t167 @t114 @t1))))) % 0.86/1.07 (assume @p70 (forall @t160 (or @t159 (= (tptp.c_HOL_Ouminus__class_Ouminus @t183 @t1) @t182)))) % 0.86/1.07 (assume @p71 (forall @t8 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t6 @t2) @t24))) % 0.86/1.07 (assume @p72 (forall @t62 (or @t184 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t60 @t1) @t14)))) % 0.86/1.07 (assume @p73 (forall @t187 (= (tptp.c_Set_Ovimage @t43 @t186 @t1 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t185 @t2)))) % 0.86/1.07 (assume @p74 (forall @t160 (or @t184 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t188 @t1) @t183)))) % 0.86/1.07 (assume @p75 (forall @t139 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t137 @t2) @t24)))) % 0.86/1.07 (assume @p76 (forall @t8 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t117 @t2) @t36))) % 0.86/1.07 (assume @p77 (forall @t83 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t189 @t81 @t2) @t189)))) % 0.86/1.07 (assume @p78 (forall @t191 (or (= @t190 (tptp.c_Set_Oinsert @t39 @t118 @t1)) @t65))) % 0.86/1.07 (assume @p79 (forall @t74 (or @t194 @t71 @t193))) % 0.86/1.07 (assume @p80 (forall @t199 (or @t198 @t196))) % 0.86/1.07 (assume @p81 (forall @t74 (or @t47 @t196))) % 0.86/1.07 (assume @p82 (forall @t8 (or @t201 (not @t200)))) % 0.86/1.07 (assume @p83 (forall @t8 (or @t202 @t200))) % 0.86/1.07 (assume @p84 (forall @t203 (or (= (tptp.c_HOL_Ominus__class_Ominus @t132 @t66 @t2) @t4) @t41))) % 0.86/1.07 (assume @p85 (forall @t204 (= (tptp.hAPP @t142 @t39) @t39))) % 0.86/1.07 (assume @p86 (forall @t206 (or @t61 @t205 @t178 @t176))) % 0.86/1.07 (assume @p87 (forall @t208 (or @t61 @t207 @t178 @t176))) % 0.86/1.07 (assume @p88 (forall @t59 (or @t210 (not @t209)))) % 0.86/1.07 (assume @p89 (forall @t109 (or @t209 (not @t210)))) % 0.86/1.07 (assume @p90 (forall @t211 (= (tptp.c_HOL_Ouminus__class_Ouminus @t166 @t2) @t4))) % 0.86/1.07 (assume @p91 (forall @t62 (or @t213 (= @t212 @t14)))) % 0.86/1.07 (assume @p92 (forall @t204 (or @t116 (= (tptp.c_HOL_Ouminus__class_Ouminus @t167 @t1) @t39)))) % 0.86/1.07 (assume @p93 (forall @t215 (or @t213 (= @t13 @t214)))) % 0.86/1.07 (assume @p94 (forall @t62 (or @t213 (= @t14 @t212)))) % 0.86/1.07 (assume @p95 (forall @t215 (or @t213 (= @t214 @t13)))) % 0.86/1.07 (assume @p96 (forall @t217 (or @t106 @t216 (not (tptp.c_HOL_Oord__class_Oless @t39 @t14 @t1))))) % 0.86/1.07 (assume @p97 (forall @t217 (or @t106 @t216 (not (tptp.c_HOL_Oord__class_Oless @t39 @t13 @t1))))) % 0.86/1.07 (assume @p98 (forall @t160 (or @t126 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t13 @t14 @t1))))) % 0.86/1.07 (assume @p99 (forall @t187 (= (tptp.c_Set_Ovimage @t43 @t218 @t1 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t52 @t185 @t2)))) % 0.86/1.07 (assume @p100 (forall @t160 (or @t184 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t188 @t1) @t158)))) % 0.86/1.07 (assume @p101 (forall @t222 (or @t221 @t220 (not @t219)))) % 0.86/1.07 (assume @p102 (forall @t160 (or @t221 @t219 (not @t220)))) % 0.86/1.07 (assume @p103 (forall @t222 (or @t221 @t224 (not @t223)))) % 0.86/1.07 (assume @p104 (forall @t160 (or @t221 @t223 (not @t224)))) % 0.86/1.07 (assume @p105 (forall @t231 (or @t230 @t229 @t227))) % 0.86/1.07 (assume @p106 (forall (@list @t1 @t14 @t13 @t4) (or @t233 @t232))) % 0.86/1.07 (assume @p107 (forall (@list @t1 @t14 @t13 @t3) (or (tptp.hBOOL (tptp.hAPP @t29 @t234)) (not (tptp.hBOOL (tptp.hAPP @t29 @t3)))))) % 0.86/1.07 (assume @p108 (forall (@list @t3 @t39 @t13 @t1 @t4 @t16) (or @t237 @t42 @t236))) % 0.86/1.07 (assume @p109 (forall (@list @t1 @t14 @t4 @t3 @t13 @t16) (or @t232 @t239 @t236))) % 0.86/1.07 (assume @p110 (forall (@list @t3 @t14 @t13 @t1 @t4 @t16) (or @t239 @t232 @t236))) % 0.86/1.07 (assume @p111 (forall @t231 (or @t240 @t227))) % 0.86/1.07 (assume @p112 (forall @t231 (or @t240 @t229))) % 0.86/1.07 (assume @p113 (forall @t204 @t241)) % 0.86/1.07 (assume @p114 (forall @t243 (or @t242 @t241))) % 0.86/1.07 (assume @p115 (forall (@list @t1 @t12) (not (tptp.hBOOL (tptp.hAPP @t225 @t24))))) % 0.86/1.07 (assume @p116 (forall @t62 (not (tptp.hBOOL (tptp.hAPP @t29 @t24))))) % 0.86/1.07 (assume @p117 (forall (@list @t1 @t14 @t4 @t13) (or @t35 @t63 (not @t233)))) % 0.86/1.07 (assume @p118 (forall @t244 (or @t228 @t226 (not @t240)))) % 0.86/1.07 (assume @p119 (forall (@list @t1 @t13 @t3 @t39 @t16 @t4) (or @t251 @t250 @t247))) % 0.86/1.07 (assume @p120 (forall (@list @t16 @t14 @t4 @t1 @t13 @t3) (or @t254 @t252 @t247))) % 0.86/1.07 (assume @p121 (forall (@list @t1 @t13 @t3 @t14 @t16 @t4) (or @t252 @t254 @t247))) % 0.86/1.07 (assume @p122 (forall @t244 (or @t229 @t256))) % 0.86/1.07 (assume @p123 (forall @t231 (or @t226 @t256))) % 0.86/1.07 (assume @p124 (forall @t258 (or @t257 @t226))) % 0.86/1.07 (assume @p125 (forall @t258 (or @t227 (not @t257)))) % 0.86/1.07 (assume @p126 (forall @t244 (or @t228 @t227 @t162))) % 0.86/1.07 (assume @p127 (forall @t259 (tptp.hBOOL (tptp.hAPP @t40 @t132)))) % 0.86/1.07 (assume @p128 (forall (@list @t1 @t14 @t3) (tptp.hBOOL (tptp.hAPP @t29 @t32)))) % 0.86/1.07 (assume @p129 (forall (@list @t1 @t39 @t3) (tptp.hBOOL (tptp.hAPP @t40 @t72)))) % 0.86/1.07 (assume @p130 (forall @t244 (or @t228 @t260))) % 0.86/1.07 (assume @p131 (forall @t231 (or @t226 @t260))) % 0.86/1.07 (assume @p132 (forall @t243 (or @t261 @t241))) % 0.86/1.07 (assume @p133 (forall @t265 (or (not (= @t264 @t263)) (= @t128 @t262)))) % 0.86/1.07 (assume @p134 (forall @t231 (or @t255 @t228 @t227))) % 0.86/1.07 (assume @p135 (forall @t191 (or (not (= @t132 @t72)) @t65 @t41 @t266))) % 0.86/1.07 (assume @p136 (forall (@list @t1 @t13 @t4 @t3 @t16 @t39) (or (tptp.hBOOL (tptp.hAPP @t246 @t267)) (not @t251) @t250))) % 0.86/1.07 (assume @p137 (forall (@list @t16 @t13 @t4 @t3 @t1 @t14) (or (tptp.hBOOL (tptp.hAPP @t268 @t269)) (not (tptp.hBOOL (tptp.hAPP @t268 @t238))) @t232))) % 0.86/1.07 (assume @p138 (forall (@list @t1 @t14 @t43 @t3 @t16) (or @t273 (not @t272)))) % 0.86/1.07 (assume @p139 (forall (@list @t16 @t14 @t43 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP @t253 @t275)) (not (tptp.hBOOL (tptp.hAPP @t274 @t4)))))) % 0.86/1.07 (assume @p140 (forall (@list @t16 @t14 @t43 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t253 @t276)) (not (tptp.hBOOL (tptp.hAPP @t274 @t3)))))) % 0.86/1.07 (assume @p141 (forall (@list @t16 @t43 @t14 @t3 @t1) (or @t272 (not @t273)))) % 0.86/1.07 (assume @p142 (forall (@list @t16 @t43 @t14 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP @t271 @t4)) (not (tptp.hBOOL (tptp.hAPP @t29 @t52)))))) % 0.86/1.07 (assume @p143 (forall @t281 (or @t61 @t280 @t279 @t278))) % 0.86/1.07 (assume @p144 (forall @t284 (or @t283 @t282 @t162))) % 0.86/1.07 (assume @p145 (forall @t290 (or @t289 @t288 @t287 @t286))) % 0.86/1.07 (assume @p146 (forall @t204 (or @t106 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t39 @t1) @t39)))) % 0.86/1.07 (assume @p147 (forall @t211 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t4 @t2) @t4))) % 0.86/1.07 (assume @p148 (forall (@list @t16 @t154 @t1) (= (tptp.c_Fun_Ocomp @t17 @t154 @t16 @t16 @t1) @t154))) % 0.86/1.07 (assume @p149 (forall (@list @t43 @t1 @t16) (= (tptp.c_Fun_Ocomp @t43 @t142 @t1 @t16 @t1) @t43))) % 0.86/1.07 (assume @p150 (forall @t292 (or @t291 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t85 @t39 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t96 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t84 @t39 @t1) @t1))))) % 0.86/1.07 (assume @p151 (forall @t91 (or @t291 (= @t86 @t89)))) % 0.86/1.07 (assume @p152 (forall @t109 (= @t294 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t293 @t2)))) % 0.86/1.07 (assume @p153 (forall @t295 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t58 @t2)))) % 0.86/1.07 (assume @p154 (forall @t299 (or @t298 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t154 @t141) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t297 @t296 @t16))))) % 0.86/1.07 (assume @p155 (forall @t8 (or @t202 (= @t118 @t4)))) % 0.86/1.07 (assume @p156 (forall (@list @t13 @t14 @t1) (or (= @t13 @t14) (not (tptp.hBOOL (tptp.hAPP @t246 @t60)))))) % 0.86/1.07 (assume @p157 (forall @t139 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t301 @t300 @t2) @t138) @t135))) % 0.86/1.07 (assume @p158 (forall @t303 (or @t192 @t42 @t302))) % 0.86/1.07 (assume @p159 (forall @t74 (or @t194 @t42 @t193))) % 0.86/1.07 (assume @p160 (forall @t191 (or (= @t190 @t118) @t304))) % 0.86/1.07 (assume @p161 (forall @t308 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t307 @t306 @t2) @t24)))) % 0.86/1.07 (assume @p162 (forall @t83 (or @t82 (= (tptp.c_HOL_Ouminus__class_Ouminus @t80 @t2) @t81)))) % 0.86/1.07 (assume @p163 (forall @t139 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t301 @t309 @t2) @t24)))) % 0.86/1.07 (assume @p164 (forall @t303 (or @t68 @t42 @t65 @t310))) % 0.86/1.07 (assume @p165 (forall @t74 (or @t73 @t42 @t69 @t65))) % 0.86/1.07 (assume @p166 (forall (@list @t16) (or (not (tptp.class_Orderings_Obot @t16)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t141) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t16))))) % 0.86/1.07 (assume @p167 (forall @t204 (or @t116 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t167 @t1) @t20)))) % 0.86/1.07 (assume @p168 (forall @t204 (or @t116 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t167 @t39 @t1) @t20)))) % 0.86/1.07 (assume @p169 (forall @t211 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t166 @t2) @t24))) % 0.86/1.07 (assume @p170 (forall @t211 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t166 @t4 @t2) @t24))) % 0.86/1.07 (assume @p171 (forall (@list @t1 @t43 @t4 @t16) (or (not (= @t24 @t112)) @t311))) % 0.86/1.07 (assume @p172 (forall @t313 (or @t184 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t75 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t312 @t1))))) % 0.86/1.07 (assume @p173 (forall @t34 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t27 @t2) (tptp.c_Set_Oinsert @t14 @t57 @t1)))) % 0.86/1.07 (assume @p174 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t32 @t2) (tptp.c_Set_Oinsert @t14 @t5 @t1)))) % 0.86/1.07 (assume @p175 (forall @t187 (= (tptp.c_Set_Ovimage @t43 @t110 @t1 @t16) (tptp.c_HOL_Ominus__class_Ominus @t52 @t185 @t2)))) % 0.86/1.07 (assume @p176 (forall @t74 (or @t73 @t42 @t69 @t162))) % 0.86/1.07 (assume @p177 (forall @t54 (tptp.c_lessequals (tptp.c_Set_Oimage @t43 @t275 @t16 @t1) @t4 @t2))) % 0.86/1.07 (assume @p178 (forall @t313 (or @t184 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t75 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t314 @t1))))) % 0.86/1.07 (assume @p179 (forall @t153 (or @t151 @t316 (not @t315)))) % 0.86/1.07 (assume @p180 (forall @t153 (or @t151 @t315 (not @t316)))) % 0.86/1.07 (assume @p181 (forall @t8 (= (tptp.c_HOL_Ouminus__class_Ouminus @t118 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t166 @t3 @t2)))) % 0.86/1.07 (assume @p182 (forall @t38 (= @t317 (tptp.c_HOL_Ominus__class_Ominus @t118 @t60 @t2)))) % 0.86/1.07 (assume @p183 (forall @t38 (= @t317 (tptp.c_HOL_Ominus__class_Ominus @t76 @t3 @t2)))) % 0.86/1.07 (assume @p184 (forall @t78 (not (= @t75 @t24)))) % 0.86/1.07 (assume @p185 (forall (@list @t318 @t14 @t43 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t319 @t14) (tptp.c_Set_Ovimage @t43 (tptp.c_Set_Oinsert @t270 @t24 @t1) @t318 @t1))))) % 0.86/1.07 (assume @p186 (forall (@list @t14 @t4 @t1 @t3) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t32 @t2) @t320))) % 0.86/1.07 (assume @p187 (forall @t95 (or @t82 (not (= @t322 @t321)) @t92))) % 0.86/1.07 (assume @p188 (forall @t203 (= (tptp.c_Set_Oinsert @t39 @t132 @t1) @t132))) % 0.86/1.07 (assume @p189 (forall (@list @t4 @t39 @t49 @t1) (or @t47 (= @t49 @t39) (not @t51)))) % 0.86/1.07 (assume @p190 (forall (@list @t4 @t3 @t16 @t1 @t39) (or (not (= @t267 @t24)) @t323 @t250))) % 0.86/1.07 (assume @p191 (forall @t324 (tptp.c_lessequals @t24 (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t2) @t2))) % 0.86/1.07 (assume @p192 (forall @t204 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t20 @t1) @t20)))) % 0.86/1.07 (assume @p193 (forall @t204 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t39 @t1) @t20)))) % 0.86/1.07 (assume @p194 (forall @t325 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t3 @t2) @t24))) % 0.86/1.07 (assume @p195 (forall @t211 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t24 @t2) @t24))) % 0.86/1.07 (assume @p196 (forall @t330 (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t329 @t328 @t53) @t328) @t327))) % 0.86/1.07 (assume @p197 (forall @t331 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t119 @t4 @t16 @t2) @t3 @t2) @t3))) % 0.86/1.07 (assume @p198 (forall @t131 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t119 @t3 @t16 @t2) @t2) @t4))) % 0.86/1.07 (assume @p199 (forall @t324 (or @t184 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t24 @t1) @t20)))) % 0.86/1.07 (assume @p200 (forall @t187 (tptp.c_lessequals (tptp.c_Set_Oimage @t43 @t218 @t16 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t112 @t111 @t2) @t2))) % 0.86/1.07 (assume @p201 (forall @t59 (or (not @t333) @t332))) % 0.86/1.07 (assume @p202 (forall @t59 (or @t333 @t334))) % 0.86/1.07 (assume @p203 (forall @t211 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t24 @t2) @t4))) % 0.86/1.07 (assume @p204 (forall @t211 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t4 @t2) @t24))) % 0.86/1.07 (assume @p205 (forall (@list @t43 @t154 @t16 @t1 @t18 @t39) (= @t337 @t336))) % 0.86/1.07 (assume @p206 (forall (@list @t14 @t13 @t11 @t18 @t16 @t1) (= @t15 (tptp.hAPP @t19 @t11)))) % 0.86/1.07 (assume @p207 (forall (@list @t39 @t49) (or (not (= (tptp.c_Suc @t39) (tptp.c_Suc @t49))) @t92))) % 0.86/1.07 (assume @p208 (forall (@list @t339 @t338) (or (not (= (tptp.c_Suc @t339) (tptp.c_Suc @t338))) (= @t339 @t338)))) % 0.86/1.07 (assume @p209 (forall @t211 (not (tptp.c_HOL_Oord__class_Oless @t4 @t24 @t2)))) % 0.86/1.07 (assume @p210 (forall @t199 (or @t198 @t47 (not @t340)))) % 0.86/1.07 (assume @p211 (forall @t342 (or @t340 @t341))) % 0.86/1.07 (assume @p212 (forall @t342 (or @t340 @t48))) % 0.86/1.07 (assume @p213 (forall @t91 (or @t90 @t345))) % 0.86/1.07 (assume @p214 (forall @t91 (or @t90 @t346))) % 0.86/1.07 (assume @p215 (forall @t91 (or @t98 @t346))) % 0.86/1.07 (assume @p216 (forall @t91 (or @t98 @t345))) % 0.86/1.07 (assume @p217 (forall @t59 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t27 @t2) @t347))) % 0.86/1.07 (assume @p218 (forall @t109 (= @t347 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t293 @t2)))) % 0.86/1.07 (assume @p219 (forall @t308 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t307 @t306 @t2) @t301) @t349 @t348))) % 0.86/1.07 (assume @p220 (forall (@list @t1 @t4 @t3 @t16 @t39) (or (not (= @t24 @t267)) @t323 @t250))) % 0.86/1.07 (assume @p221 (forall @t204 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t20 @t1) @t39)))) % 0.86/1.07 (assume @p222 (forall @t204 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t39 @t1) @t39)))) % 0.86/1.07 (assume @p223 (forall @t325 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t3 @t2) @t3))) % 0.86/1.07 (assume @p224 (forall @t211 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t24 @t2) @t4))) % 0.86/1.07 (assume @p225 (forall @t143 (= (tptp.c_HOL_Ominus__class_Ominus @t24 @t4 @t2) @t24))) % 0.86/1.07 (assume @p226 (forall @t331 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t119 @t4 @t16 @t2) @t3 @t2) @t3))) % 0.86/1.07 (assume @p227 (forall @t131 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t130 @t2) @t4))) % 0.86/1.07 (assume @p228 (forall @t222 (or @t221 @t350 @t169))) % 0.86/1.07 (assume @p229 (forall @t160 (or @t221 @t168 (not @t350)))) % 0.86/1.07 (assume @p230 (forall @t83 (or @t82 (= (tptp.c_HOL_Ouminus__class_Ouminus @t351 @t2) @t146)))) % 0.86/1.07 (assume @p231 (forall @t308 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t307 @t352 @t2) @t138) @t349 @t348))) % 0.86/1.07 (assume @p232 (forall @t204 (not (tptp.hBOOL (tptp.hAPP @t24 @t39))))) % 0.86/1.07 (assume @p233 (forall @t353 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t118 @t2) (tptp.c_HOL_Ominus__class_Ominus @t58 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t3 @t2) @t2)))) % 0.86/1.07 (assume @p234 (forall @t59 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t27 @t2) @t354))) % 0.86/1.07 (assume @p235 (forall @t342 (or @t161 @t304 @t310))) % 0.86/1.07 (assume @p236 (forall @t74 (or @t73 @t304 @t162))) % 0.86/1.07 (assume @p237 (forall @t355 (or @t304 @t42 @t202))) % 0.86/1.07 (assume @p238 (forall @t91 (or @t90 (tptp.c_lessequals @t357 @t356 @t1)))) % 0.86/1.07 (assume @p239 (forall (@list @t1 @t134) (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert @t134 @t24 @t1) (tptp.c_SetInterval_Oord__class_OgreaterThan @t134 @t1) @t2) @t136)))) % 0.86/1.07 (assume @p240 (forall @t284 (= @t354 (tptp.c_HOL_Ominus__class_Ominus @t293 @t3 @t2)))) % 0.86/1.07 (assume @p241 (forall @t308 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t307 @t352 @t2) @t24)))) % 0.86/1.07 (assume @p242 (forall @t78 (or (= @t75 @t4) @t232))) % 0.86/1.07 (assume @p243 (forall (@list @t4 @t3 @t1 @t16 @t13 @t39) (or @t358 (not @t237) @t42))) % 0.86/1.07 (assume @p244 (forall (@list @t4 @t3 @t1 @t16 @t13 @t14) (or @t358 (not @t239) @t232))) % 0.86/1.07 (assume @p245 (forall (@list @t318 @t39 @t4 @t1 @t43) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t319 @t39) @t4))) (tptp.hBOOL (tptp.hAPP @t359 (tptp.c_Set_Oimage @t43 @t4 @t318 @t1)))))) % 0.86/1.07 (assume @p246 (forall (@list @t16 @t39 @t4 @t1 @t43) (or @t250 @t360))) % 0.86/1.07 (assume @p247 (forall (@list @t1 @t43 @t39 @t4 @t16) (or @t360 @t250))) % 0.86/1.07 (assume @p248 (forall (@list @t16 @t43 @t39 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t45) @t44)) @t42))) % 0.86/1.07 (assume @p249 (forall @t95 (or @t82 @t92 @t285 @t362))) % 0.86/1.07 (assume @p250 (forall @t95 (or @t82 @t92 @t362 @t285))) % 0.86/1.07 (assume @p251 (forall @t160 (or @t61 @t168 @t178 @t63))) % 0.86/1.07 (assume @p252 (forall @t160 (or @t61 @t168 @t63 @t178))) % 0.86/1.07 (assume @p253 (forall @t95 (or @t61 @t285 @t92 @t362))) % 0.86/1.07 (assume @p254 (forall @t95 (or @t61 @t92 @t285 @t362))) % 0.86/1.07 (assume @p255 (forall @t222 (or @t61 @t365 @t364 @t63))) % 0.86/1.07 (assume @p256 (forall @t222 (or @t61 @t365 @t63 @t364))) % 0.86/1.07 (assume @p257 (forall @t369 (or @t221 @t368 @t367 (not @t366)))) % 0.86/1.07 (assume @p258 (forall @t369 (or @t221 @t368 @t366 @t370))) % 0.86/1.07 (assume @p259 (forall @t290 (or @t289 @t288 @t372 @t286))) % 0.86/1.07 (assume @p260 (forall @t290 (or @t289 @t288 @t287 @t362))) % 0.86/1.07 (assume @p261 (forall @t281 (or @t61 @t280 @t279 @t370))) % 0.86/1.07 (assume @p262 (forall @t281 (or @t61 @t280 @t373 @t278))) % 0.86/1.07 (assume @p263 (forall (@list @t1 @t14 @t39 @t13) (or @t106 @t376 @t375))) % 0.86/1.07 (assume @p264 (forall (@list @t1 @t13 @t39 @t14) (or @t106 @t377 @t375))) % 0.86/1.07 (assume @p265 (forall @t217 (or @t106 @t380 @t379))) % 0.86/1.07 (assume @p266 (forall @t217 (or @t106 @t380 @t382))) % 0.86/1.07 (assume @p267 (forall @t290 (or @t106 @t385 @t384))) % 0.86/1.07 (assume @p268 (forall @t292 (or @t106 @t371 @t384))) % 0.86/1.07 (assume @p269 (forall (@list @t1 @t386 @t43) (or @t184 (tptp.c_lessequals @t386 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t43 @t1) @t1) (not (tptp.c_lessequals @t386 @t387 @t1))))) % 0.86/1.07 (assume @p270 (forall @t95 (or @t98 @t388))) % 0.86/1.07 (assume @p271 (forall @t95 (or @t98 @t389))) % 0.86/1.07 (assume @p272 (forall @t217 (or @t98 @t390 @t382 @t379))) % 0.86/1.07 (assume @p273 (forall @t91 (or @t98 @t392 @t391 @t362))) % 0.86/1.07 (assume @p274 (forall @t95 (or @t90 @t389))) % 0.86/1.07 (assume @p275 (forall @t95 (or @t90 @t388))) % 0.86/1.07 (assume @p276 (forall @t95 (or @t106 @t393 @t362))) % 0.86/1.07 (assume @p277 (forall @t95 (or @t106 (not @t393) @t361))) % 0.86/1.07 (assume @p278 (forall @t95 (or @t106 (= @t102 @t39) @t370))) % 0.86/1.07 (assume @p279 (forall @t95 (or @t289 @t361 @t286))) % 0.86/1.07 (assume @p280 (forall @t95 (or @t61 @t361 @t286))) % 0.86/1.07 (assume @p281 (forall @t95 (or @t289 @t285 @t367 @t362))) % 0.86/1.07 (assume @p282 (forall @t204 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t20 @t39 @t1)))) % 0.86/1.07 (assume @p283 (forall @t222 (or @t221 @t394 @t178))) % 0.86/1.07 (assume @p284 (forall @t160 (or @t221 @t177 (not @t394)))) % 0.86/1.07 (assume @p285 (forall @t95 (or @t82 @t285 @t367))) % 0.86/1.07 (assume @p286 (forall @t204 (or @t82 (not @t397) @t396))) % 0.86/1.07 (assume @p287 (forall @t204 (or @t82 @t395 @t397))) % 0.86/1.07 (assume @p288 (forall @t95 (or @t82 @t286 @t370))) % 0.86/1.07 (assume @p289 (forall @t398 (or @t82 @t367 @t285))) % 0.86/1.07 (assume @p290 (forall @t95 (or @t82 @t362 @t278))) % 0.86/1.07 (assume @p291 (forall @t398 (or @t82 @t277 @t361))) % 0.86/1.07 (assume @p292 (forall @t398 (or @t289 @t370 @t286))) % 0.86/1.07 (assume @p293 (forall @t95 (or @t98 @t399 @t362))) % 0.86/1.07 (assume @p294 (forall @t95 (or @t98 (not @t399) @t361))) % 0.86/1.07 (assume @p295 (forall @t95 (or @t98 (= @t88 @t49) @t370))) % 0.86/1.07 (assume @p296 (forall @t402 (or @t106 @t374 @t401 @t400))) % 0.86/1.07 (assume @p297 (forall @t95 (or @t106 @t403))) % 0.86/1.07 (assume @p298 (forall @t398 (or @t106 @t404))) % 0.86/1.07 (assume @p299 (forall @t292 (or @t106 (tptp.c_lessequals @t85 @t39 @t1) (not @t405) @t370))) % 0.86/1.07 (assume @p300 (forall @t91 (or @t106 @t383 @t372 @t391))) % 0.86/1.07 (assume @p301 (forall @t398 (or @t90 @t404))) % 0.86/1.07 (assume @p302 (forall @t95 (or @t90 @t403))) % 0.86/1.07 (assume @p303 (forall @t217 (or @t98 @t378 @t406))) % 0.86/1.07 (assume @p304 (forall (@list @t1 @t39 @t13 @t14) (or @t98 @t381 @t406))) % 0.86/1.07 (assume @p305 (forall @t402 (or @t98 @t407 @t400))) % 0.86/1.07 (assume @p306 (forall @t402 (or @t98 @t407 @t401))) % 0.86/1.07 (assume @p307 (forall @t91 (or @t98 @t361 @t408))) % 0.86/1.07 (assume @p308 (forall @t290 (or @t98 @t385 @t408))) % 0.86/1.07 (assume @p309 (forall @t222 (or @t221 @t410 (not @t409)))) % 0.86/1.07 (assume @p310 (forall @t160 (or @t221 @t409 (not @t410)))) % 0.86/1.07 (assume @p311 (forall @t222 (or @t221 @t412 (not @t411)))) % 0.86/1.07 (assume @p312 (forall @t160 (or @t221 @t411 (not @t412)))) % 0.86/1.07 (assume @p313 (forall (@list @t16 @t154 @t14 @t43 @t386 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 (tptp.hAPP @t154 @t14)) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t43 @t53))) (not (tptp.c_lessequals @t414 (tptp.hAPP @t43 @t414) @t53)) @t413))) % 0.86/1.07 (assume @p314 (forall @t74 (or @t73 @t71 @t41 @t162))) % 0.86/1.07 (assume @p315 (forall @t74 (or @t73 @t71 @t41 @t65))) % 0.86/1.07 (assume @p316 (forall @t342 (or @t70 @t41 @t65 @t310))) % 0.86/1.07 (assume @p317 (forall @t420 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t419 @t418 @t415) tptp.v_x) (tptp.hAPP @t417 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t128 @t262 @t415))))) % 0.86/1.07 (assume @p318 (forall @t420 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t419 @t418 @t415) tptp.v_x) (tptp.hAPP @t417 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t128 @t262 @t415))))) % 0.86/1.07 (assume @p319 (forall @t426 (or @t425 @t424 @t423))) % 0.86/1.07 (assume @p320 (forall @t426 (or @t425 @t422 @t428 @t427))) % 0.86/1.07 (assume @p321 (forall (@list @t16 @t154 @t43 @t1) (or @t425 (not @t428) @t423))) % 0.86/1.07 (assume @p322 (forall @t8 (or @t266 @t161 @t71))) % 0.86/1.07 (assume @p323 (forall @t8 (or @t161 @t266 @t71))) % 0.86/1.07 (assume @p324 (forall (@list @t14 @t27 @t1 @t429) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t14 @t27 @t1) (tptp.c_Set_Oinsert @t14 @t429 @t1) @t2) (not (tptp.c_lessequals @t27 @t429 @t2))))) % 0.86/1.07 (assume @p325 (forall (@list @t39 @t4 @t16 @t43 @t1) (or (not (tptp.c_lessequals @t39 @t4 @t53)) (tptp.c_lessequals (tptp.c_Set_Oimage @t43 @t39 @t16 @t1) @t112 @t2)))) % 0.86/1.07 (assume @p326 (forall (@list @t43 @t4 @t1 @t16 @t3) (or (tptp.c_lessequals @t44 (tptp.c_Set_Oimage @t43 @t3 @t1 @t16) @t53) @t71))) % 0.86/1.07 (assume @p327 (forall (@list @t3 @t27 @t4 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t3 (tptp.c_HOL_Ominus__class_Ominus @t27 @t4 @t2) @t2) @t4) @t431 @t71))) % 0.86/1.07 (assume @p328 (forall @t435 (or (tptp.c_lessequals @t36 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t429 @t2) @t2) @t434 @t433))) % 0.86/1.07 (assume @p329 (forall @t284 (or @t283 @t282 @t71))) % 0.86/1.07 (assume @p330 (forall @t284 (or @t283 @t431 @t162))) % 0.86/1.07 (assume @p331 (forall @t295 (or @t430 @t437))) % 0.86/1.07 (assume @p332 (forall @t284 (or @t432 @t437))) % 0.86/1.07 (assume @p333 (forall @t440 (or @t439 (not (tptp.hBOOL (tptp.hAPP @t127 @t438)))))) % 0.86/1.07 (assume @p334 (forall @t353 (or @t442 (not @t441) @t334))) % 0.86/1.07 (assume @p335 (forall @t8 (tptp.c_lessequals @t36 @t3 @t2))) % 0.86/1.07 (assume @p336 (forall @t8 (tptp.c_lessequals @t36 @t4 @t2))) % 0.86/1.07 (assume @p337 (forall @t435 (or (tptp.c_lessequals @t5 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t429 @t2) @t2) @t434 @t433))) % 0.86/1.07 (assume @p338 (forall @t324 (tptp.c_lessequals @t24 @t24 @t2))) % 0.86/1.07 (assume @p339 (forall @t211 (or @t25 (not (tptp.c_lessequals @t4 @t24 @t2))))) % 0.86/1.07 (assume @p340 (forall @t160 (or @t61 @t443 @t364))) % 0.86/1.07 (assume @p341 (forall @t444 (not (tptp.c_HOL_Oord__class_Oless @t39 @t39 @t2)))) % 0.86/1.07 (assume @p342 (forall @t204 (or @t61 @t396))) % 0.86/1.07 (assume @p343 (forall @t204 (or @t82 @t396))) % 0.86/1.07 (assume @p344 (forall @t204 (or @t289 @t396))) % 0.86/1.07 (assume @p345 (forall @t95 (or @t90 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t88 @t1) @t39)))) % 0.86/1.07 (assume @p346 (forall @t160 (or @t61 @t446 @t445))) % 0.86/1.07 (assume @p347 (forall @t95 (or @t116 (not (= @t167 @t114)) @t92))) % 0.86/1.07 (assume @p348 (forall @t160 (or @t213 (not (= @t156 @t155)) @t63))) % 0.86/1.07 (assume @p349 (forall @t447 (or (not (= @t166 @t117)) @t266))) % 0.86/1.07 (assume @p350 (forall @t452 (or @t61 @t175 @t451 (not @t180) @t449 @t448))) % 0.86/1.07 (assume @p351 (forall @t452 (or @t61 @t175 @t451 (not @t179) @t449 @t448))) % 0.86/1.07 (assume @p352 (forall (@list @t1 @t133) (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t454 @t300 @t2) @t453)))) % 0.86/1.07 (assume @p353 (forall @t398 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t277 @t285 @t92))) % 0.86/1.07 (assume @p354 (forall @t95 (or @t82 @t92 @t277 @t285))) % 0.86/1.07 (assume @p355 (forall @t398 (or @t82 @t277 @t285 @t92))) % 0.86/1.07 (assume @p356 (forall @t398 (or @t82 @t277 @t92 @t285))) % 0.86/1.07 (assume @p357 (forall @t95 (or @t82 @t92 @t285 @t277))) % 0.86/1.07 (assume @p358 (forall @t95 (or @t90 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t102 @t1) @t39)))) % 0.86/1.07 (assume @p359 (forall @t402 (or @t98 @t455 (not (tptp.c_HOL_Oord__class_Oless @t13 @t39 @t1))))) % 0.86/1.07 (assume @p360 (forall @t402 (or @t98 @t455 (not (tptp.c_HOL_Oord__class_Oless @t14 @t39 @t1))))) % 0.86/1.07 (assume @p361 (forall @t8 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t36 @t2) @t4))) % 0.86/1.07 (assume @p362 (forall @t459 (or @t458 @t457 @t456))) % 0.86/1.07 (assume @p363 (forall @t459 (or @t458 @t460 @t456))) % 0.86/1.07 (assume @p364 (forall @t459 (or @t458 @t457 @t461))) % 0.86/1.07 (assume @p365 (forall @t459 (or @t458 @t460 @t461))) % 0.86/1.07 (assume @p366 (forall @t139 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t462 @t301 @t2) @t454) @t135))) % 0.86/1.07 (assume @p367 (forall @t95 (or @t82 (not (= @t464 @t463)) @t92))) % 0.86/1.07 (assume @p368 (forall @t466 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t465 @t3 @t16 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t238 @t267 @t2)))) % 0.86/1.07 (assume @p369 (forall @t160 (or @t61 @t467 @t177))) % 0.86/1.07 (assume @p370 (forall @t160 (or @t61 (not @t467) @t178))) % 0.86/1.07 (assume @p371 (forall @t313 (not (= @t24 @t75)))) % 0.86/1.07 (assume @p372 (forall @t473 (or @t472 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t471 @t469 @t1)) @t470))) % 0.86/1.07 (assume @p373 (forall @t34 (or (= @t33 (tptp.c_Set_Oinsert @t14 @t31 @t1)) (not @t30)))) % 0.86/1.07 (assume @p374 (forall @t38 (or (= @t37 @t320) @t232))) % 0.86/1.07 (assume @p375 (forall @t475 (= (tptp.c_Set_Oimage @t43 @t474 @t16 @t1) (tptp.c_Set_Oinsert @t270 @t111 @t1)))) % 0.86/1.07 (assume @p376 (forall (@list @t43 @t154 @t16 @t18 @t1 @t39) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t43 @t154 @t16 @t18 @t1) @t39) (tptp.hAPP @t154 @t45)))) % 0.86/1.07 (assume @p377 (forall (@list @t43 @t14 @t13 @t1 @t16) (or (= @t270 @t13) (not (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_Set_Ovimage @t43 (tptp.c_Set_Oinsert @t13 @t119 @t16) @t1 @t16))))))) % 0.86/1.07 (assume @p378 (forall (@list @t43 @t154 @t477 @t476 @t18 @t1 @t16) (= (tptp.c_Fun_Ocomp @t43 (tptp.c_Fun_Ocomp @t154 @t477 @t476 @t18 @t1) @t18 @t16 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t43 @t154 @t18 @t16 @t476) @t477 @t476 @t16 @t1)))) % 0.86/1.07 (assume @p379 (forall (@list @t14 @t16 @t3 @t1) (= (tptp.c_Set_Oinsert @t14 @t130 @t1) @t60))) % 0.86/1.07 (assume @p380 (forall (@list @t16 @t4) (or (not (tptp.class_HOL_Ouminus @t16)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t141) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus @t140 @t16))))) % 0.86/1.07 (assume @p381 (forall @t292 (or @t291 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t343 @t39 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t163 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t84 @t39 @t1) @t1))))) % 0.86/1.07 (assume @p382 (forall @t91 (or @t291 (= @t357 @t356)))) % 0.86/1.07 (assume @p383 (forall @t109 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t31 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t108 @t2)))) % 0.86/1.07 (assume @p384 (forall @t295 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t56 @t2)))) % 0.86/1.07 (assume @p385 (forall @t203 (tptp.hBOOL (tptp.hAPP @t132 @t39)))) % 0.86/1.07 (assume @p386 (forall @t95 (or @t90 @t478))) % 0.86/1.07 (assume @p387 (forall @t95 (or @t98 @t478))) % 0.86/1.07 (assume @p388 (forall @t8 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t36 @t2) @t36))) % 0.86/1.07 (assume @p389 (forall @t139 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t462 @t138 @t2) @t453) @t135))) % 0.86/1.07 (assume @p390 (forall @t121 (= (tptp.c_Fun_Ofcomp @t43 @t17 @t1 @t16 @t16) @t43))) % 0.86/1.07 (assume @p391 (forall (@list @t1 @t154 @t16) (= (tptp.c_Fun_Ofcomp @t142 @t154 @t1 @t1 @t16) @t154))) % 0.86/1.07 (assume @p392 (forall (@list @t43 @t154 @t18 @t1 @t16 @t479) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t43 @t154 @t18 @t1 @t16) @t479 @t16 @t1) (tptp.c_Set_Oimage @t43 (tptp.c_Set_Oimage @t154 @t479 @t16 @t18) @t18 @t1)))) % 0.86/1.07 (assume @p393 (forall @t481 (not (= @t480 @t100)))) % 0.86/1.07 (assume @p394 (forall @t481 (not (= @t100 @t480)))) % 0.86/1.07 (assume @p395 @t483) % 0.86/1.07 (assume @p396 (forall @t204 (or @t98 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t39 @t1) @t39)))) % 0.86/1.07 (assume @p397 (forall @t211 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t2) @t4))) % 0.86/1.07 (assume @p398 (forall @t299 (or @t298 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t154 @t141) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t297 @t296 @t16))))) % 0.86/1.07 (assume @p399 (forall @t62 (or @t184 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t60 @t1) @t14)))) % 0.86/1.07 (assume @p400 (forall @t160 (or @t61 @t443 @t168))) % 0.86/1.07 (assume @p401 (forall @t160 (or @t61 (not @t443) @t169))) % 0.86/1.07 (assume @p402 (forall @t54 (or (not (= @t112 @t24)) @t311))) % 0.86/1.07 (assume @p403 (forall (@list @t1 @t12 @t172 @t14 @t13) (or @t61 @t450 @t176))) % 0.86/1.07 (assume @p404 (forall @t109 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t57 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t145 @t2)))) % 0.86/1.07 (assume @p405 (forall @t160 (or @t61 @t446 @t177))) % 0.86/1.07 (assume @p406 (forall @t160 (or @t61 (not @t446) @t178))) % 0.86/1.07 (assume @p407 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t27 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t144 @t2)))) % 0.86/1.07 (assume @p408 (forall @t485 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t186 @t484 @t16 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t4 @t484 @t16 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t3 @t484 @t16 @t2) @t2)))) % 0.86/1.07 (assume @p409 (forall (@list @t1 @t147 @t305 @t100) (or @t82 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t147 @t305 @t1) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t147 @t100 @t1) @t2) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t100 @t305 @t1)) (not (tptp.c_lessequals @t147 @t100 @t1))))) % 0.86/1.07 (assume @p410 (forall @t95 (or @t82 (not (= @t487 @t486)) @t92))) % 0.86/1.07 (assume @p411 (forall @t204 (tptp.hBOOL (tptp.hAPP @t40 @t66)))) % 0.86/1.07 (assume @p412 (forall @t211 (or @t25 (not (tptp.c_lessequals @t4 @t166 @t2))))) % 0.86/1.07 (assume @p413 (forall @t330 (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t329 @t488 @t53) @t488) @t327))) % 0.86/1.07 (assume @p414 (forall (@list @t14 @t13 @t18 @t16 @t1 @t12 @t172 @t476 @t11) (or (not (= @t19 (tptp.c_Fun_Ocomp @t12 @t172 @t476 @t16 @t1))) (= @t15 (tptp.hAPP @t12 (tptp.hAPP @t172 @t11)))))) % 0.86/1.07 (assume @p415 (forall (@list @t43 @t154 @t39 @t491 @t490 @t123 @t16 @t1 @t18 @t476 @t489) (or (not (= @t336 (tptp.hAPP @t491 (tptp.hAPP @t490 @t123)))) (= @t337 (tptp.hAPP (tptp.c_Fun_Ocomp @t491 @t490 @t476 @t1 @t489) @t123))))) % 0.86/1.07 (assume @p416 (forall (@list @t4 @t39 @t1) (or (= @t4 @t66) @t25 (not (tptp.c_lessequals @t4 @t66 @t2))))) % 0.86/1.07 (assume @p417 (forall @t475 (= (tptp.c_Set_Ovimage @t43 @t474 @t1 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t43 (tptp.c_Set_Oinsert @t14 @t119 @t16) @t1 @t16) @t185 @t2)))) % 0.86/1.07 (assume @p418 (forall @t109 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t31 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t145 @t2)))) % 0.86/1.07 (assume @p419 (forall @t83 (or @t82 (= (tptp.c_HOL_Ouminus__class_Ouminus @t146 @t2) @t351)))) % 0.86/1.07 (assume @p420 (forall @t485 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t186 @t484 @t16 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t484 @t16 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3 @t484 @t16 @t2) @t2)))) % 0.86/1.07 (assume @p421 (forall (@list @t4 @t43 @t39 @t1 @t16) (or @t493 (not @t492)))) % 0.86/1.07 (assume @p422 (forall (@list @t43 @t4 @t1 @t16 @t39) (or @t492 (not @t493)))) % 0.86/1.07 (assume @p423 (forall @t342 (or @t195 @t341 @t48))) % 0.86/1.07 (assume @p424 (forall @t160 (or @t159 (= @t183 (tptp.c_HOL_Ouminus__class_Ouminus @t182 @t1))))) % 0.86/1.07 (assume @p425 (forall @t369 (or @t221 @t368 @t494 @t286))) % 0.86/1.07 (assume @p426 (forall @t369 (or @t221 @t368 @t285 (not @t494)))) % 0.86/1.07 (assume @p427 (forall @t139 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t462 @t138 @t2) @t24)))) % 0.86/1.07 (assume @p428 (forall @t324 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t24 @t2) @t24))) % 0.86/1.07 (assume @p429 (forall @t139 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t301 @t309 @t2) @t136) @t135))) % 0.86/1.07 (assume @p430 (forall @t139 (or @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t462 @t301 @t2) @t24)))) % 0.86/1.07 (assume @p431 (forall @t187 (= (tptp.c_Set_Oimage @t43 @t186 @t16 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t112 @t111 @t2)))) % 0.86/1.07 (assume @p432 (forall @t121 (= (tptp.c_Set_Ovimage @t43 @t119 @t1 @t16) @t24))) % 0.86/1.07 (assume @p433 (forall @t452 (or @t61 @t175 @t451 @t177))) % 0.86/1.07 (assume @p434 (forall @t466 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t465 @t3 @t16 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t238 @t245 @t2)))) % 0.86/1.07 (assume @p435 (forall (@list @t43 @t154 @t1 @t476 @t18 @t477 @t16) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t43 @t154 @t1 @t476 @t18) @t477 @t1 @t18 @t16) (tptp.c_Fun_Ofcomp @t43 (tptp.c_Fun_Ofcomp @t154 @t477 @t476 @t18 @t16) @t1 @t476 @t16)))) % 0.86/1.07 (assume @p436 (forall @t160 (or @t61 @t169 @t445))) % 0.86/1.07 (assume @p437 (forall @t95 (or @t82 @t286 @t278))) % 0.86/1.07 (assume @p438 (forall @t398 (or @t289 @t278 @t286))) % 0.86/1.07 (assume @p439 (forall @t222 (or @t289 @t445 @t169))) % 0.86/1.07 (assume @p440 (forall @t8 (or (not @t495) @t70))) % 0.86/1.07 (assume @p441 (forall @t8 (or (= @t5 @t4) @t497))) % 0.86/1.07 (assume @p442 (forall @t8 (or @t495 @t71))) % 0.86/1.07 (assume @p443 (forall @t8 (or @t70 @t162))) % 0.86/1.07 (assume @p444 (forall @t435 (or (tptp.c_lessequals @t118 (tptp.c_HOL_Ominus__class_Ominus @t27 @t429 @t2) @t2) (not (tptp.c_lessequals @t429 @t3 @t2)) @t433))) % 0.86/1.07 (assume @p445 (forall (@list @t3 @t14 @t1) (tptp.c_lessequals @t3 @t32 @t2))) % 0.86/1.07 (assume @p446 (forall @t143 (tptp.c_lessequals @t24 @t4 @t2))) % 0.86/1.07 (assume @p447 (forall @t447 (or @t498 @t497))) % 0.86/1.07 (assume @p448 (forall @t10 (or @t496 (not @t498)))) % 0.86/1.07 (assume @p449 (forall (@list @t3 @t1 @t4) (or (tptp.c_lessequals @t117 @t166 @t2) @t71))) % 0.86/1.07 (assume @p450 (forall (@list @t4 @t13 @t3 @t1) (or (tptp.c_lessequals @t4 @t234 @t2) @t71))) % 0.86/1.07 (assume @p451 (forall @t342 (or @t70 @t500))) % 0.86/1.07 (assume @p452 (forall @t8 (or (= @t36 @t4) @t71))) % 0.86/1.07 (assume @p453 (forall @t8 (or (= @t36 @t3) @t497))) % 0.86/1.07 (assume @p454 (forall @t59 (or @t436 @t431 @t433))) % 0.86/1.07 (assume @p455 (forall @t10 (tptp.c_lessequals @t3 @t5 @t2))) % 0.86/1.07 (assume @p456 (forall @t8 (tptp.c_lessequals @t4 @t5 @t2))) % 0.86/1.07 (assume @p457 (forall @t8 (tptp.c_lessequals @t118 @t4 @t2))) % 0.86/1.07 (assume @p458 (forall @t113 (or (tptp.c_lessequals @t275 @t276 @t53) @t71))) % 0.86/1.07 (assume @p459 (forall (@list @t27 @t3 @t1 @t4) (or @t441 @t501))) % 0.86/1.07 (assume @p460 (forall (@list @t27 @t4 @t1 @t3) (or @t332 @t501))) % 0.86/1.07 (assume @p461 (forall @t440 (or @t439 (tptp.hBOOL (tptp.hAPP @t129 @t438))))) % 0.86/1.07 (assume @p462 (forall @t502 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t43 @t154 @t18 @t16 tptp.t_a) tptp.v_x) (tptp.hAPP @t43 @t296)))) % 0.86/1.07 (assume @p463 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.86/1.07 (assume @p464 (forall @t502 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t43 @t154 tptp.t_a @t18 @t16) tptp.v_x) (tptp.hAPP @t154 @t297)))) % 0.86/1.07 (assume @p465 (forall (@list @t100 @t503 @t1) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t503 @t1) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t480 @t503 @t1))))) % 0.86/1.07 (assume @p466 (forall (@list @t100 @t509 @t468 @t471) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t509 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t509) @t468))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t506) @t471)) @t505))) % 0.86/1.07 (assume @p467 (forall (@list @t100 @t55 @t468) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t55 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t55) @t468))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t480 @t510 tptp.t_a))))) % 0.86/1.07 (assume @p468 (forall (@list @t471 @t468 @t39) (or @t504 (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 @t471 @t468) @t39 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t511 @t471)))))) % 0.86/1.07 (assume @p469 (forall (@list @t100 @t512 @t468 @t471) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t512 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t512) @t468))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t506 tptp.t_a)) @t505))) % 0.86/1.07 (assume @p470 (forall (@list @t471 @t468 @t1 @t513) (or @t472 (not (tptp.c_lessequals @t468 @t513 @t514)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t471 @t513 @t1))))) % 0.86/1.07 (assume @p471 (forall @t473 (or @t472 (not (tptp.c_lessequals @t469 @t471 @t514)) @t470))) % 0.86/1.07 (assume @p472 (forall (@list @t471 @t468 @t1) (or @t472 (not (tptp.c_lessequals @t468 @t471 @t514))))) % 0.86/1.07 (assume @p473 (forall @t259 (or @t184 (tptp.c_lessequals @t39 @t314 @t1) @t42))) % 0.86/1.07 (assume @p474 (forall (@list @t1 @t4 @t39) (or @t184 (tptp.c_lessequals @t312 @t39 @t1) @t42))) % 0.86/1.07 (assume @p475 (forall @t153 (or @t151 @t516 (not @t515)))) % 0.86/1.07 (assume @p476 (forall @t153 (or @t151 @t515 (not @t516)))) % 0.86/1.07 (assume @p477 (forall (@list @t16 @t4 @t484 @t1 @t147) (or @t519 (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t4 @t484 @t1 @t16) @t518 @t16) @t517))) % 0.86/1.07 (assume @p478 (forall @t153 (or @t151 @t521 (not @t520)))) % 0.86/1.07 (assume @p479 (forall @t152 (or @t151 @t520 (not @t521)))) % 0.86/1.07 (assume @p480 (forall (@list @t16 @t484 @t147 @t4 @t1) (or @t519 (tptp.c_lessequals @t518 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t484 @t1 @t16) @t16) @t517))) % 0.86/1.07 (assume @p481 (forall @t191 (or @t499 @t71 @t304))) % 0.86/1.07 (assume @p482 (forall @t8 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t522 @t3)))))) % 0.86/1.07 (assume @p483 (forall @t8 (or @t70 (tptp.hBOOL (tptp.hAPP @t523 @t4))))) % 0.86/1.07 (assume @p484 (forall @t265 (or @t525 (not @t524)))) % 0.86/1.07 (assume @p485 (forall (@list @t128 @t262 @t1) (or @t524 (not @t525)))) % 0.86/1.07 (assume @p486 (forall (@list @t4 @t3 @t1 @t16 @t14) (or (tptp.c_lessequals @t235 @t238 @t53) @t232))) % 0.86/1.07 (assume @p487 (forall (@list @t4 @t39 @t3 @t1 @t16 @t326) (or (tptp.c_lessequals @t46 @t3 @t2) (not (tptp.hBOOL (tptp.hAPP @t249 @t326))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t326 @t4 @t16 @t2) @t3 @t2))))) % 0.86/1.07 (assume @p488 (forall (@list @t3 @t4 @t147 @t1 @t16 @t326) (or (tptp.c_lessequals @t3 (tptp.hAPP @t4 @t147) @t2) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t248 @t147) @t326))) (not (tptp.c_lessequals @t3 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t326 @t4 @t16 @t2) @t2))))) % 0.86/1.07 (assume @p489 (forall (@list @t3 @t14 @t4 @t1 @t16) (or (tptp.c_lessequals @t238 @t269 @t53) @t232))) % 0.86/1.07 (assume @p490 (forall (@list @t1 @t43 @t39 @t3 @t16 @t4) (or (tptp.hBOOL (tptp.hAPP @t359 @t3)) @t250 (not (tptp.c_lessequals @t112 @t3 @t2))))) % 0.86/1.07 (assume @p491 (forall @t8 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t523 @t3)))))) % 0.86/1.07 (assume @p492 (forall (@list @t1 @t14 @t43 @t386) (or (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t43 @t2))) (not (tptp.c_lessequals @t386 @t387 @t2)) @t413))) % 0.86/1.07 (assume @p493 (forall @t8 (or @t70 (tptp.hBOOL (tptp.hAPP @t522 @t4))))) % 0.86/1.07 (assume @p494 (forall @t355 (or @t65 @t500))) % 0.86/1.07 (assume @p495 (forall @t74 (or @t194 @t71 @t41))) % 0.86/1.07 (assume @p496 (forall @t342 (or @t70 @t41 @t302))) % 0.86/1.07 (assume @p497 (forall @t342 (or @t70 @t302 @t41))) % 0.86/1.07 (assume @p498 (forall @t426 (or @t425 @t424 (not (tptp.c_lessequals (tptp.hAPP @t43 @t526) (tptp.hAPP @t154 @t526) @t16))))) % 0.86/1.07 (assume @p499 (forall @t426 (or @t425 @t424 (not (tptp.c_lessequals (tptp.hAPP @t43 @t527) (tptp.hAPP @t154 @t527) @t16))))) % 0.86/1.07 (assume @p500 (forall @t95 (or @t61 @t528 @t370))) % 0.86/1.07 (assume @p501 (forall @t398 (or @t61 @t367 (not @t528)))) % 0.86/1.07 (assume @p502 (forall @t452 (or @t61 @t529 @t177))) % 0.86/1.07 (assume @p503 (forall @t206 (or @t61 @t205 @t178 @t530))) % 0.86/1.07 (assume @p504 (forall @t208 (or @t61 @t207 @t178 @t530))) % 0.86/1.07 (assume @p505 (forall @t452 (or @t61 @t529 @t449 @t448))) % 0.86/1.07 (assume @p506 (forall @t95 (or @t61 @t531 @t362))) % 0.86/1.07 (assume @p507 (forall @t95 (or @t61 @t361 (not @t531)))) % 0.86/1.07 (assume @p508 (forall @t95 (or @t82 @t532 @t370))) % 0.86/1.07 (assume @p509 (forall @t398 (or @t82 @t367 (not @t532)))) % 0.86/1.07 (assume @p510 (forall @t95 (or @t82 @t533 @t362))) % 0.86/1.07 (assume @p511 (forall @t95 (or @t82 @t361 (not @t533)))) % 0.86/1.07 (assume @p512 (forall @t206 (or @t82 @t205 @t363 @t534))) % 0.86/1.07 (assume @p513 (forall @t208 (or @t82 @t207 @t363 @t534))) % 0.86/1.07 (assume @p514 (= (tptp.hAPP @t535 tptp.v_x) (tptp.hAPP @t417 @t535))) % 0.86/1.07 (assume @p515 (forall (@list @t100 @t39 @t468) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t100 @t39 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t511 @t468))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t510) @t468))))) % 0.86/1.07 (assume @p516 (forall @t398 (or @t82 @t367 @t361))) % 0.86/1.07 (assume @p517 (forall @t538 (or @t537 @t536 @t261))) % 0.86/1.07 (assume @p518 (forall @t204 (or @t289 @t397))) % 0.86/1.07 (assume @p519 (forall @t204 (or @t61 @t397))) % 0.86/1.07 (assume @p520 (forall @t538 (or @t537 @t261 @t536))) % 0.86/1.07 (assume @p521 (forall @t284 (or @t432 @t431 @t71))) % 0.86/1.07 (assume @p522 (forall @t211 (tptp.c_lessequals @t4 @t4 @t2))) % 0.86/1.07 (assume @p523 (forall (@list @t1 @t503 @t3 @t4) (or (tptp.hBOOL (tptp.hAPP @t539 @t3)) (not (tptp.hBOOL (tptp.hAPP @t539 @t4))) @t71))) % 0.86/1.07 (assume @p524 (forall @t355 (or @t65 @t71 @t42))) % 0.86/1.07 (assume @p525 (forall @t444 (tptp.c_lessequals @t39 @t39 @t2))) % 0.86/1.07 (assume @p526 (forall @t244 (or @t228 @t227 @t71))) % 0.86/1.07 (assume @p527 (forall @t355 (or @t65 @t42 @t71))) % 0.86/1.07 (assume @p528 (forall @t290 (or @t289 @t385 @t372 @t362))) % 0.86/1.07 (assume @p529 (forall @t281 (or @t61 @t405 @t373 @t370))) % 0.86/1.07 (assume @p530 (forall @t95 (or @t61 @t92 @t362 @t370))) % 0.86/1.07 (assume @p531 (forall @t95 (or @t61 @t92 @t370 @t362))) % 0.86/1.07 (assume @p532 (forall @t8 (or @t266 @t497 @t71))) % 0.86/1.07 (assume @p533 (forall (@list @t1 @t39 @t262) (or @t541 (not @t540)))) % 0.86/1.07 (assume @p534 (forall (@list @t262 @t39 @t1) (or @t540 (not @t541)))) % 0.86/1.07 (assume @p535 (forall (@list @t16 @t43 @t39 @t154 @t1) (or @t425 (tptp.c_lessequals @t45 @t335 @t16) @t427))) % 0.86/1.07 (assume @p536 @t543) % 0.86/1.07 (assume @p537 @t545) % 0.86/1.07 (assume @p538 (not @t546)) % 0.86/1.07 (assume @p539 (forall (@list @t547) (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_x @t547 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t508 @t547) tptp.v_Ga)))))) % 0.86/1.07 (assume @p540 (forall @t551 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t550) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t548))))) % 0.86/1.07 (assume @p541 (forall @t551 (or (tptp.class_Lattices_Oupper__semilattice @t550) @t552))) % 0.86/1.07 (assume @p542 (forall @t551 (or (tptp.class_Lattices_Olower__semilattice @t550) @t552))) % 0.86/1.07 (assume @p543 (forall @t551 (or (tptp.class_Lattices_Odistrib__lattice @t550) (not (tptp.class_Lattices_Odistrib__lattice @t548))))) % 0.86/1.07 (assume @p544 (forall @t551 (or (tptp.class_Lattices_Obounded__lattice @t550) (not (tptp.class_Lattices_Obounded__lattice @t548))))) % 0.86/1.07 (assume @p545 (forall @t551 (or (tptp.class_Lattices_Oboolean__algebra @t550) (not (tptp.class_Lattices_Oboolean__algebra @t548))))) % 0.86/1.07 (assume @p546 (forall @t551 (or (tptp.class_Orderings_Opreorder @t550) (not (tptp.class_Orderings_Opreorder @t548))))) % 0.86/1.07 (assume @p547 (forall @t551 (or (tptp.class_Lattices_Olattice @t550) @t552))) % 0.86/1.07 (assume @p548 (forall @t551 (or (tptp.class_Orderings_Oorder @t550) (not (tptp.class_Orderings_Oorder @t548))))) % 0.86/1.07 (assume @p549 (forall @t551 (or (tptp.class_Orderings_Obot @t550) (not (tptp.class_Orderings_Obot @t548))))) % 0.86/1.07 (assume @p550 (forall @t551 (or (tptp.class_HOL_Ouminus @t550) (not (tptp.class_HOL_Ouminus @t548))))) % 0.86/1.07 (assume @p551 (forall @t551 (or (tptp.class_HOL_Ominus @t550) (not (tptp.class_HOL_Ominus @t548))))) % 0.86/1.07 (assume @p552 (forall @t551 (or (tptp.class_HOL_Oord @t550) (not (tptp.class_HOL_Oord @t548))))) % 0.86/1.07 (assume @p553 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.86/1.07 (assume @p554 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.86/1.07 (assume @p555 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.86/1.07 (assume @p556 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.86/1.07 (assume @p557 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.86/1.07 (assume @p558 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.86/1.07 (assume @p559 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.86/1.07 (assume @p560 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.86/1.07 (assume @p561 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.86/1.07 (assume @p562 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.86/1.07 (assume @p563 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.86/1.07 (assume @p564 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.86/1.07 (assume @p565 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.86/1.07 (assume @p566 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.86/1.07 (assume @p567 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.86/1.07 (assume @p568 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.86/1.07 (assume @p569 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.86/1.07 (assume @p570 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.86/1.07 (assume @p571 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.86/1.07 (assume @p572 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.86/1.07 (assume @p573 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 0.86/1.07 (assume @p574 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.86/1.07 (assume @p575 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.86/1.07 (assume @p576 (forall @t444 (tptp.c_fequal @t39 @t39 @t1))) % 0.86/1.07 (assume @p577 (forall (@list @t386 @t165 @t1) (or (= @t386 @t165) (not (tptp.c_fequal @t386 @t165 @t1))))) % 0.86/1.07 (step @p578 :rule refl :args (@t232)) % 0.86/1.07 (step @p579 :rule eq-symm :args (@t77 @t4)) % 0.86/1.07 (step @p580 :rule nary_cong :premises (@p579 @p578) :args (@t482)) % 0.86/1.07 (step @p581 :rule cong :premises (@p580) :args (@t483)) % 0.86/1.07 (step @p582 :rule eq_resolve :premises (@p395 @p581)) % 0.86/1.07 (step @p583 :rule instantiate :premises (@p582) :args ((@list tptp.v_xa tptp.v_tsa @t507))) % 0.86/1.07 (step @p584 :rule cnf_or_pos :args (@t557)) % 0.86/1.07 (step @p585 :rule reordering :premises (@p584) :args ((or @t553 @t556 (not @t557)))) % 0.86/1.07 (step @p586 :rule chain_m_resolution :premises (@p585 @p537 @p583) :args (@t556 (@list false false) (@list @t545 @t557))) % 0.86/1.07 (step @p587 :rule instantiate :premises (@p494) :args ((@list @t507 tptp.v_xa tptp.v_Ga @t554))) % 0.86/1.07 (step @p588 :rule instantiate :premises (@p539) :args ((@list tptp.v_xa))) % 0.86/1.07 (step @p589 :rule cnf_or_pos :args (@t560)) % 0.86/1.07 (step @p590 :rule reordering :premises (@p589) :args ((or @t546 @t559 (not @t560)))) % 0.86/1.07 (step @p591 :rule chain_m_resolution :premises (@p590 @p538 @p588) :args (@t559 @t561 (@list @t546 @t560))) % 0.86/1.07 (step @p592 :rule cnf_or_pos :args (@t564)) % 0.86/1.07 (step @p593 :rule reordering :premises (@p592) :args ((or @t558 @t563 (not @t564)))) % 0.86/1.07 (step @p594 :rule chain_m_resolution :premises (@p593 @p591 @p587) :args (@t563 @t561 (@list @t558 @t564))) % 0.86/1.07 (assume-push @p611 @t543) % 0.86/1.07 (assume-push @p612 @t556) % 0.86/1.07 (step @p597 :rule true_intro :premises (@p536)) % 0.86/1.07 (step @p598 :rule refl :args (@t542)) % 0.86/1.07 (step @p599 :rule refl :args (tptp.v_Ga)) % 0.86/1.07 (step @p600 :rule symm :premises (@p586)) % 0.86/1.07 (step @p601 :rule cong :premises (@p600 @p599 @p598) :args (@t562)) % 0.86/1.07 (step @p602 :rule trans :premises (@p601 @p597)) % 0.86/1.07 (step @p603 :rule true_elim :premises (@p602)) % 0.86/1.07 (step-pop @p613 :rule scope :premises (@p603)) % 0.86/1.07 (step-pop @p614 :rule scope :premises (@p613)) % 0.86/1.07 (step @p604 :rule process_scope :premises (@p614) :args (@t562)) % 0.86/1.07 (step @p607 :rule implies_elim :premises (@p604)) % 0.86/1.07 (step @p608 :rule cnf_and_neg :args (@t565)) % 0.86/1.07 (step @p609 :rule resolution :premises (@p608 @p607) :args (true @t565)) % 0.86/1.07 (step @p610 false :rule chain_m_resolution :premises (@p609 @p594 @p586 @p536) :args (false (@list true false false) (@list @t562 @t556 @t543))) % 0.86/1.07 ) % 0.86/1.07 % SZS output end Proof % 0.86/1.07 % cvc5 exiting %------------------------------------------------------------------------------