%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV900-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:02:34 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.95s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV900-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:21:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.95 % SZS status Unsatisfiable % 0.50/0.95 % SZS output start Proof % 0.50/0.97 ( % 0.50/0.97 (declare-sort $$unsorted 0) % 0.50/0.97 (declare-const tptp.tc_nat $$unsorted) % 0.50/0.97 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Orderings_Obot__axioms (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.50/0.97 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.50/0.97 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Com_Obody $$unsorted) % 0.50/0.97 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.50/0.97 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.50/0.97 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.tc_bool $$unsorted) % 0.50/0.97 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.t_a $$unsorted) % 0.50/0.97 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.50/0.97 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.50/0.97 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.t_b $$unsorted) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OatMost (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.v_x $$unsorted) % 0.50/0.97 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.97 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.50/0.97 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.97 (define @t1 () (@var "T_a" $$unsorted)) % 0.50/0.97 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.50/0.97 (define @t3 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.50/0.97 (define @t4 () (@var "V_a" $$unsorted)) % 0.50/0.97 (define @t5 () (tptp.c_Set_Oinsert @t4 @t3 @t1)) % 0.50/0.97 (define @t6 () (not (tptp.class_Orderings_Oorder @t1))) % 0.50/0.97 (define @t7 () (@list @t1 @t4)) % 0.50/0.97 (define @t8 () (@var "V_y" $$unsorted)) % 0.50/0.97 (define @t9 () (@var "V_x" $$unsorted)) % 0.50/0.97 (define @t10 () (tptp.c_HOL_Ouminus__class_Ouminus @t9 @t1)) % 0.50/0.97 (define @t11 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.50/0.97 (define @t12 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t8 @t1)) % 0.50/0.97 (define @t13 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.50/0.97 (define @t14 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t8 @t1)) % 0.50/0.97 (define @t15 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.50/0.97 (define @t16 () (@list @t1 @t9 @t8)) % 0.50/0.97 (define @t17 () (@var "V_A" $$unsorted)) % 0.50/0.97 (define @t18 () (tptp.c_Set_Oinsert @t4 @t17 @t1)) % 0.50/0.97 (define @t19 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t5 @t2)) % 0.50/0.97 (define @t20 () (tptp.c_Set_Oinsert @t4 @t19 @t1)) % 0.50/0.97 (define @t21 () (@list @t4 @t17 @t1)) % 0.50/0.97 (define @t22 () (@var "V_u" $$unsorted)) % 0.50/0.97 (define @t23 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t22 @t1)) % 0.50/0.97 (define @t24 () (@var "V_l" $$unsorted)) % 0.50/0.97 (define @t25 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t24 @t22 @t1)) % 0.50/0.97 (define @t26 () (@list @t1 @t24 @t22)) % 0.50/0.97 (define @t27 () (@var "V_k" $$unsorted)) % 0.50/0.97 (define @t28 () (tptp.c_SetInterval_Oord__class_OatLeast @t27 @t1)) % 0.50/0.97 (define @t29 () (tptp.c_SetInterval_Oord__class_OlessThan @t27 @t1)) % 0.50/0.97 (define @t30 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.50/0.97 (define @t31 () (@list @t1 @t27)) % 0.50/0.97 (define @t32 () (@var "V_z" $$unsorted)) % 0.50/0.97 (define @t33 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t32 @t1)) % 0.50/0.97 (define @t34 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t33 @t1)) % 0.50/0.97 (define @t35 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t32 @t1)) % 0.50/0.97 (define @t36 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t35 @t1)) % 0.50/0.97 (define @t37 () (tptp.c_lessequals @t1)) % 0.50/0.97 (define @t38 () (not (tptp.class_Lattices_Olattice @t1))) % 0.50/0.97 (define @t39 () (@list @t1 @t9 @t8 @t32)) % 0.50/0.97 (define @t40 () (= @t9 @t8)) % 0.50/0.97 (define @t41 () (tptp.c_SetInterval_Oord__class_OlessThan @t8 @t1)) % 0.50/0.97 (define @t42 () (tptp.c_SetInterval_Oord__class_OlessThan @t9 @t1)) % 0.50/0.97 (define @t43 () (@var "V_B" $$unsorted)) % 0.50/0.97 (define @t44 () (tptp.c_lessequals @t2)) % 0.50/0.97 (define @t45 () (tptp.hAPP @t44 @t17)) % 0.50/0.97 (define @t46 () (tptp.hBOOL (tptp.hAPP @t45 @t43))) % 0.50/0.97 (define @t47 () (not @t46)) % 0.50/0.97 (define @t48 () (tptp.c_HOL_Ominus__class_Ominus @t43 @t17 @t2)) % 0.50/0.97 (define @t49 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t48 @t2)) % 0.50/0.97 (define @t50 () (@list @t17 @t43 @t1)) % 0.50/0.97 (define @t51 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t9 @t1)) % 0.50/0.97 (define @t52 () (= @t12 @t51)) % 0.50/0.97 (define @t53 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.50/0.97 (define @t54 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t17 @t2)) % 0.50/0.97 (define @t55 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t43 @t2)) % 0.50/0.97 (define @t56 () (@var "V_n" $$unsorted)) % 0.50/0.97 (define @t57 () (@var "T_b" $$unsorted)) % 0.50/0.97 (define @t58 () (@var "V_f" $$unsorted)) % 0.50/0.97 (define @t59 () (tptp.c_Map_Odom @t58 @t57 @t1)) % 0.50/0.97 (define @t60 () (tptp.c_Option_Ooption_OSome @t8 @t1)) % 0.50/0.97 (define @t61 () (tptp.hAPP @t58 @t9)) % 0.50/0.97 (define @t62 () (@var "V_c" $$unsorted)) % 0.50/0.97 (define @t63 () (tptp.hBOOL (tptp.c_in @t62 @t55 @t1))) % 0.50/0.97 (define @t64 () (not @t63)) % 0.50/0.97 (define @t65 () (tptp.hBOOL (tptp.c_in @t62 @t17 @t1))) % 0.50/0.97 (define @t66 () (@list @t62 @t17 @t1 @t43)) % 0.50/0.97 (define @t67 () (tptp.hBOOL (tptp.c_in @t62 @t43 @t1))) % 0.50/0.97 (define @t68 () (@list @t62 @t43 @t1 @t17)) % 0.50/0.97 (define @t69 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t33 @t1)) % 0.50/0.97 (define @t70 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t32 @t1) @t69)) % 0.50/0.97 (define @t71 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t32 @t1)) % 0.50/0.97 (define @t72 () (= @t69 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t71 @t1))) % 0.50/0.97 (define @t73 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.50/0.97 (define @t74 () (@var "V_C" $$unsorted)) % 0.50/0.97 (define @t75 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t74 @t2)) % 0.50/0.97 (define @t76 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t75 @t2)) % 0.50/0.97 (define @t77 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t43 @t2)) % 0.50/0.97 (define @t78 () (@list @t17 @t43 @t1 @t74)) % 0.50/0.97 (define @t79 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t74 @t2)) % 0.50/0.97 (define @t80 () (@list @t17 @t43 @t74 @t1)) % 0.50/0.97 (define @t81 () (tptp.c_HOL_Ouminus__class_Ouminus @t8 @t1)) % 0.50/0.97 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t8 @t1)) % 0.50/0.97 (define @t83 () (tptp.c_HOL_Ouminus__class_Ouminus @t43 @t2)) % 0.50/0.97 (define @t84 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t43 @t2)) % 0.50/0.97 (define @t85 () (@var "V_y_H" $$unsorted)) % 0.50/0.97 (define @t86 () (@var "V_x_H" $$unsorted)) % 0.50/0.97 (define @t87 () (tptp.c_HOL_Ominus__class_Ominus @t86 @t85 @t1)) % 0.50/0.97 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t9 @t1)) % 0.50/0.97 (define @t89 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.50/0.97 (define @t90 () (@var "V_xa" $$unsorted)) % 0.50/0.97 (define @t91 () (@var "V_a_H" $$unsorted)) % 0.50/0.97 (define @t92 () (tptp.c_Option_Ooption_OSome @t91 @t1)) % 0.50/0.97 (define @t93 () (tptp.c_Option_Ooption_ONone @t1)) % 0.50/0.97 (define @t94 () (tptp.tc_fun @t57 tptp.tc_bool)) % 0.50/0.97 (define @t95 () (tptp.c_Orderings_Otop__class_Otop @t94)) % 0.50/0.97 (define @t96 () (tptp.c_Set_Oimage @t58 @t95 @t57 @t1)) % 0.50/0.97 (define @t97 () (@var "V_U" $$unsorted)) % 0.50/0.97 (define @t98 () (not (tptp.c_Finite__Set_Ofinite @t97 tptp.t_a))) % 0.50/0.97 (define @t99 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) % 0.50/0.97 (define @t100 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t99 tptp.tc_bool))) % 0.50/0.97 (define @t101 () (@var "V_c0" $$unsorted)) % 0.50/0.97 (define @t102 () (@var "V_Q_H" $$unsorted)) % 0.50/0.97 (define @t103 () (@var "V_Q" $$unsorted)) % 0.50/0.97 (define @t104 () (@var "V_P_H" $$unsorted)) % 0.50/0.97 (define @t105 () (@var "V_P" $$unsorted)) % 0.50/0.97 (define @t106 () (@var "V_G" $$unsorted)) % 0.50/0.97 (define @t107 () (tptp.v_sko__Hoare__Mirabelle__Xfinite__pointwise__1 @t106 @t105 @t104 @t103 @t102 @t101)) % 0.50/0.97 (define @t108 () (tptp.hAPP @t101 @t107)) % 0.50/0.97 (define @t109 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b)) % 0.50/0.97 (define @t110 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 0.50/0.97 (define @t111 () (tptp.tc_fun tptp.t_b @t110)) % 0.50/0.97 (define @t112 () (tptp.tc_fun @t111 @t99)) % 0.50/0.97 (define @t113 () (tptp.tc_fun tptp.tc_Com_Ocom @t112)) % 0.50/0.97 (define @t114 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t109 @t104 @t111 @t113 tptp.t_a) @t101 tptp.t_a tptp.tc_Com_Ocom @t112) @t102 tptp.t_a @t111 @t99) @t97 tptp.t_a @t99) tptp.t_b))) % 0.50/0.97 (define @t115 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t109 @t105 @t111 @t113 tptp.t_a) @t101 tptp.t_a tptp.tc_Com_Ocom @t112) @t103 tptp.t_a @t111 @t99) @t97 tptp.t_a @t99) tptp.t_b)) % 0.50/0.97 (define @t116 () (@list @t106 @t105 @t101 @t103 @t97 @t104 @t102)) % 0.50/0.97 (define @t117 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t17 @t2)) % 0.50/0.97 (define @t118 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t74 @t17 @t2)) % 0.50/0.97 (define @t119 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t74 @t2)) % 0.50/0.97 (define @t120 () (tptp.c_Orderings_Otop__class_Otop @t2)) % 0.50/0.97 (define @t121 () (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t2)) % 0.50/0.97 (define @t122 () (@list @t17 @t1)) % 0.50/0.97 (define @t123 () (@list @t1 @t9)) % 0.50/0.97 (define @t124 () (not @t65)) % 0.50/0.97 (define @t125 () (tptp.hBOOL (tptp.c_in @t62 @t84 @t1))) % 0.50/0.97 (define @t126 () (@list @t62 @t17 @t43 @t1)) % 0.50/0.97 (define @t127 () (tptp.c_Set_Ovimage @t58 @t17 @t1 @t57)) % 0.50/0.97 (define @t128 () (@list @t58 @t17 @t57 @t1)) % 0.50/0.97 (define @t129 () (tptp.c_Set_Oinsert @t9 @t17 @t1)) % 0.50/0.97 (define @t130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t129) @t43))) % 0.50/0.97 (define @t131 () (not @t130)) % 0.50/0.97 (define @t132 () (tptp.hBOOL (tptp.c_in @t9 @t43 @t1))) % 0.50/0.97 (define @t133 () (@list @t9 @t43 @t1 @t17)) % 0.50/0.97 (define @t134 () (tptp.hAPP @t37 @t24)) % 0.50/0.97 (define @t135 () (not (tptp.hBOOL (tptp.hAPP @t134 @t22)))) % 0.50/0.97 (define @t136 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t24 @t1)) % 0.50/0.97 (define @t137 () (tptp.hBOOL (tptp.hAPP @t17 @t9))) % 0.50/0.97 (define @t138 () (not @t137)) % 0.50/0.97 (define @t139 () (tptp.c_Set_Oinsert @t8 @t17 @t1)) % 0.50/0.97 (define @t140 () (tptp.hBOOL (tptp.hAPP @t139 @t9))) % 0.50/0.97 (define @t141 () (tptp.hBOOL (tptp.c_in @t9 @t17 @t1))) % 0.50/0.97 (define @t142 () (not @t141)) % 0.50/0.97 (define @t143 () (tptp.c_Set_Oimage @t58 @t17 @t1 @t57)) % 0.50/0.97 (define @t144 () (@list @t58 @t9 @t17 @t1 @t57)) % 0.50/0.97 (define @t145 () (tptp.c_Set_Oinsert @t9 @t43 @t1)) % 0.50/0.97 (define @t146 () (tptp.hBOOL (tptp.hAPP @t45 @t145))) % 0.50/0.97 (define @t147 () (@list @t1 @t17 @t9 @t43)) % 0.50/0.97 (define @t148 () (not @t146)) % 0.50/0.97 (define @t149 () (@list @t1 @t17 @t43 @t9)) % 0.50/0.97 (define @t150 () (= @t17 @t43)) % 0.50/0.97 (define @t151 () (@list @t9 @t17 @t1 @t43)) % 0.50/0.97 (define @t152 () (tptp.hBOOL (tptp.c_in @t4 @t17 @t1))) % 0.50/0.97 (define @t153 () (tptp.c_Set_Oinsert @t4 @t43 @t1)) % 0.50/0.97 (define @t154 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t153 @t2)) % 0.50/0.97 (define @t155 () (@list @t17 @t4 @t43 @t1)) % 0.50/0.97 (define @t156 () (tptp.hBOOL (tptp.c_in @t4 @t74 @t1))) % 0.50/0.97 (define @t157 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t153 @t74 @t2)) % 0.50/0.97 (define @t158 () (@list @t4 @t43 @t1 @t74)) % 0.50/0.97 (define @t159 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t17 @t2)) % 0.50/0.97 (define @t160 () (tptp.hAPP @t17 tptp.v_x)) % 0.50/0.97 (define @t161 () (tptp.tc_fun tptp.t_a @t57)) % 0.50/0.97 (define @t162 () (tptp.c_HOL_Ominus__class_Ominus @t43 @t74 @t2)) % 0.50/0.97 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t74 @t2)) % 0.50/0.97 (define @t164 () (@var "V_m" $$unsorted)) % 0.50/0.97 (define @t165 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t164 @t22 @t1)) % 0.50/0.97 (define @t166 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t24 @t164 @t1)) % 0.50/0.97 (define @t167 () (@list @t1 @t24 @t164 @t22)) % 0.50/0.97 (define @t168 () (tptp.c_SetInterval_Oord__class_OatMost @t22 @t1)) % 0.50/0.97 (define @t169 () (tptp.c_SetInterval_Oord__class_OatMost @t24 @t1)) % 0.50/0.97 (define @t170 () (tptp.hAPP @t58 @t4)) % 0.50/0.97 (define @t171 () (tptp.hBOOL (tptp.c_in @t170 @t43 @t57))) % 0.50/0.97 (define @t172 () (tptp.c_Set_Ovimage @t58 @t43 @t1 @t57)) % 0.50/0.97 (define @t173 () (tptp.hBOOL (tptp.c_in @t4 @t172 @t1))) % 0.50/0.97 (define @t174 () (tptp.c_Set_Ovimage @t58 @t17 @t57 @t1)) % 0.50/0.97 (define @t175 () (tptp.c_Set_Ovimage @t58 @t43 @t57 @t1)) % 0.50/0.97 (define @t176 () (@list @t58 @t4 @t43 @t57 @t1)) % 0.50/0.97 (define @t177 () (@var "V_b" $$unsorted)) % 0.50/0.97 (define @t178 () (tptp.c_HOL_Ouminus__class_Ouminus @t177 @t1)) % 0.50/0.97 (define @t179 () (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t1)) % 0.50/0.97 (define @t180 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t179 @t178 @t1)) % 0.50/0.97 (define @t181 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t177 @t1)) % 0.50/0.97 (define @t182 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.50/0.97 (define @t183 () (@list @t1 @t4 @t177)) % 0.50/0.97 (define @t184 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t9 @t1)) % 0.50/0.97 (define @t185 () (= @t14 @t184)) % 0.50/0.97 (define @t186 () (not @t152)) % 0.50/0.97 (define @t187 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t14 @t1) @t14)) % 0.50/0.97 (define @t188 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t179 @t178 @t1)) % 0.50/0.97 (define @t189 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t177 @t1)) % 0.50/0.97 (define @t190 () (tptp.c_Finite__Set_Ofinite @t17 @t1)) % 0.50/0.97 (define @t191 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 0.50/0.97 (define @t192 () (@list @t1 @t17)) % 0.50/0.97 (define @t193 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t164 @t22 @t1)) % 0.50/0.97 (define @t194 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t43 @t94)) % 0.50/0.97 (define @t195 () (@list @t58 @t17 @t43 @t57 @t1)) % 0.50/0.97 (define @t196 () (tptp.c_Set_Oinsert @t177 @t3 @t1)) % 0.50/0.97 (define @t197 () (tptp.c_Set_Oinsert @t4 @t196 @t1)) % 0.50/0.97 (define @t198 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.50/0.97 (define @t199 () (tptp.c_Natural_Oevalc @t62)) % 0.50/0.97 (define @t200 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.tc_Com_Ostate)) % 0.50/0.97 (define @t201 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t62)) % 0.50/0.97 (define @t202 () (@list @t62)) % 0.50/0.97 (define @t203 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t24 @t22 @t1)) % 0.50/0.97 (define @t204 () (@var "V_s1" $$unsorted)) % 0.50/0.97 (define @t205 () (@var "V_s" $$unsorted)) % 0.50/0.97 (define @t206 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t105)) % 0.50/0.97 (define @t207 () (not (tptp.c_Natural_Oevaln @t206 @t205 @t56 @t204))) % 0.50/0.97 (define @t208 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t105 @t56 @t205 @t204)) % 0.50/0.97 (define @t209 () (tptp.c_Set_Oinsert @t27 @t3 @t1)) % 0.50/0.97 (define @t210 () (tptp.c_HOL_Ominus__class_Ominus @t129 @t43 @t2)) % 0.50/0.97 (define @t211 () (tptp.hBOOL (tptp.hAPP @t55 @t9))) % 0.50/0.97 (define @t212 () (not @t211)) % 0.50/0.97 (define @t213 () (tptp.hBOOL (tptp.hAPP @t43 @t9))) % 0.50/0.97 (define @t214 () (@list @t43 @t9 @t17 @t1)) % 0.50/0.97 (define @t215 () (@list @t1)) % 0.50/0.97 (define @t216 () (tptp.c_Set_Oinsert @t9 @t3 @t1)) % 0.50/0.97 (define @t217 () (@list @t9 @t17 @t1)) % 0.50/0.97 (define @t218 () (tptp.hBOOL (tptp.hAPP @t45 @t75))) % 0.50/0.97 (define @t219 () (tptp.hAPP @t44 @t84)) % 0.50/0.97 (define @t220 () (tptp.hBOOL (tptp.hAPP @t219 @t74))) % 0.50/0.97 (define @t221 () (@list @t1 @t17 @t43 @t74)) % 0.50/0.97 (define @t222 () (tptp.c_HOL_Ouminus__class_Ouminus @t179 @t1)) % 0.50/0.97 (define @t223 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.50/0.97 (define @t224 () (tptp.c_HOL_Ouminus__class_Ouminus @t178 @t1)) % 0.50/0.97 (define @t225 () (@list @t1 @t177)) % 0.50/0.97 (define @t226 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t43 @t94)) % 0.50/0.97 (define @t227 () (tptp.c_Finite__Set_Ofinite @t106 @t1)) % 0.50/0.97 (define @t228 () (not @t227)) % 0.50/0.97 (define @t229 () (@var "V_F" $$unsorted)) % 0.50/0.97 (define @t230 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t229 @t106 @t2) @t1)) % 0.50/0.97 (define @t231 () (@list @t229 @t106 @t1)) % 0.50/0.97 (define @t232 () (tptp.c_Finite__Set_Ofinite @t229 @t1)) % 0.50/0.97 (define @t233 () (not @t232)) % 0.50/0.97 (define @t234 () (@var "V_t" $$unsorted)) % 0.50/0.97 (define @t235 () (tptp.hAPP @t199 @t205)) % 0.50/0.97 (define @t236 () (tptp.hBOOL (tptp.hAPP @t235 @t234))) % 0.50/0.97 (define @t237 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t85) @t86))) % 0.50/0.97 (define @t238 () (tptp.hAPP @t37 @t8)) % 0.50/0.97 (define @t239 () (tptp.hBOOL (tptp.hAPP @t238 @t9))) % 0.50/0.97 (define @t240 () (not (= @t82 @t87))) % 0.50/0.97 (define @t241 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.50/0.97 (define @t242 () (@list @t1 @t9 @t8 @t86 @t85)) % 0.50/0.97 (define @t243 () (not @t239)) % 0.50/0.97 (define @t244 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t189) @t9))) % 0.50/0.97 (define @t245 () (not @t244)) % 0.50/0.97 (define @t246 () (tptp.hAPP @t37 @t4)) % 0.50/0.97 (define @t247 () (tptp.hBOOL (tptp.hAPP @t246 @t9))) % 0.50/0.97 (define @t248 () (tptp.hAPP @t37 @t177)) % 0.50/0.97 (define @t249 () (tptp.hBOOL (tptp.hAPP @t248 @t9))) % 0.50/0.97 (define @t250 () (tptp.hAPP @t37 @t9)) % 0.50/0.97 (define @t251 () (tptp.hBOOL (tptp.hAPP @t250 @t4))) % 0.50/0.97 (define @t252 () (not @t251)) % 0.50/0.97 (define @t253 () (tptp.hBOOL (tptp.hAPP @t250 @t189))) % 0.50/0.97 (define @t254 () (@list @t1 @t9 @t4 @t177)) % 0.50/0.97 (define @t255 () (tptp.hBOOL (tptp.hAPP @t250 @t177))) % 0.50/0.97 (define @t256 () (not @t255)) % 0.50/0.97 (define @t257 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t14) @t32))) % 0.50/0.97 (define @t258 () (not @t257)) % 0.50/0.97 (define @t259 () (tptp.hBOOL (tptp.hAPP @t250 @t32))) % 0.50/0.97 (define @t260 () (@list @t1 @t9 @t32 @t8)) % 0.50/0.97 (define @t261 () (tptp.hBOOL (tptp.hAPP @t238 @t32))) % 0.50/0.97 (define @t262 () (@list @t1 @t8 @t32 @t9)) % 0.50/0.97 (define @t263 () (tptp.hAPP @t37 @t12)) % 0.50/0.97 (define @t264 () (tptp.hBOOL (tptp.hAPP @t263 @t9))) % 0.50/0.97 (define @t265 () (tptp.hBOOL (tptp.hAPP @t263 @t8))) % 0.50/0.97 (define @t266 () (tptp.hBOOL (tptp.hAPP @t250 @t181))) % 0.50/0.97 (define @t267 () (tptp.hBOOL (tptp.hAPP @t250 @t8))) % 0.50/0.97 (define @t268 () (not @t267)) % 0.50/0.97 (define @t269 () (not @t259)) % 0.50/0.97 (define @t270 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t32 @t1)) % 0.50/0.97 (define @t271 () (tptp.hBOOL (tptp.hAPP @t250 @t270))) % 0.50/0.97 (define @t272 () (= @t14 @t8)) % 0.50/0.97 (define @t273 () (tptp.hBOOL (tptp.hAPP @t246 @t177))) % 0.50/0.97 (define @t274 () (not @t273)) % 0.50/0.97 (define @t275 () (tptp.hAPP @t37 @t178)) % 0.50/0.97 (define @t276 () (tptp.hBOOL (tptp.hAPP @t275 @t179))) % 0.50/0.97 (define @t277 () (@list @t1 @t177 @t4)) % 0.50/0.97 (define @t278 () (= @t12 @t9)) % 0.50/0.97 (define @t279 () (not @t247)) % 0.50/0.97 (define @t280 () (not @t249)) % 0.50/0.97 (define @t281 () (@list @t1 @t4 @t177 @t9)) % 0.50/0.97 (define @t282 () (@var "V_R" $$unsorted)) % 0.50/0.97 (define @t283 () (tptp.hAPP @t103 @t282)) % 0.50/0.97 (define @t284 () (tptp.hAPP @t105 @t282)) % 0.50/0.97 (define @t285 () (@var "T_c" $$unsorted)) % 0.50/0.97 (define @t286 () (@var "V_S" $$unsorted)) % 0.50/0.97 (define @t287 () (tptp.hBOOL (tptp.c_in @t9 @t286 @t1))) % 0.50/0.97 (define @t288 () (tptp.hBOOL (tptp.hAPP @t286 @t9))) % 0.50/0.97 (define @t289 () (tptp.c_SetInterval_Oord__class_OatLeast @t24 @t1)) % 0.50/0.97 (define @t290 () (not (tptp.hBOOL (tptp.hAPP @t134 @t164)))) % 0.50/0.97 (define @t291 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t164) @t22)))) % 0.50/0.97 (define @t292 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t24 @t164 @t1)) % 0.50/0.97 (define @t293 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.50/0.97 (define @t294 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t74 @t2)) % 0.50/0.97 (define @t295 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t75 @t2)) % 0.50/0.97 (define @t296 () (@list @t43 @t74 @t1 @t17)) % 0.50/0.97 (define @t297 () (@var "V_g" $$unsorted)) % 0.50/0.97 (define @t298 () (tptp.hAPP @t297 tptp.v_x)) % 0.50/0.97 (define @t299 () (tptp.hAPP @t58 tptp.v_x)) % 0.50/0.97 (define @t300 () (not (tptp.class_Lattices_Olattice @t57))) % 0.50/0.97 (define @t301 () (@list @t57 @t58 @t297)) % 0.50/0.97 (define @t302 () (= @t55 @t3)) % 0.50/0.97 (define @t303 () (not @t302)) % 0.50/0.97 (define @t304 () (tptp.c_Set_Oinsert @t24 @t3 @t1)) % 0.50/0.97 (define @t305 () (tptp.c_Set_Oinsert @t22 @t3 @t1)) % 0.50/0.97 (define @t306 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t24 @t22 @t1)) % 0.50/0.97 (define @t307 () (tptp.c_Orderings_Obot__class_Obot @t94)) % 0.50/0.97 (define @t308 () (tptp.c_COMBK @t62 @t57 @t1)) % 0.50/0.97 (define @t309 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_HOL_Ominus__class_Ominus @t17 @t216 @t2)) @t43))) % 0.50/0.97 (define @t310 () (not @t309)) % 0.50/0.97 (define @t311 () (not @t132)) % 0.50/0.97 (define @t312 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t164 @t22 @t1)) % 0.50/0.97 (define @t313 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t24 @t164 @t1)) % 0.50/0.97 (define @t314 () (tptp.c_SetInterval_Oord__class_OatLeast @t22 @t1)) % 0.50/0.97 (define @t315 () (tptp.hBOOL (tptp.c_in @t62 @t121 @t1))) % 0.50/0.97 (define @t316 () (@list @t62 @t17 @t1)) % 0.50/0.97 (define @t317 () (not @t190)) % 0.50/0.97 (define @t318 () (tptp.c_Finite__Set_Ofinite @t84 @t1)) % 0.50/0.97 (define @t319 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t43 @t94)) % 0.50/0.97 (define @t320 () (@list @t58 @t57 @t1)) % 0.50/0.97 (define @t321 () (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t1)) % 0.50/0.97 (define @t322 () (@list @t1 @t4 @t17)) % 0.50/0.97 (define @t323 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.50/0.97 (define @t324 () (@list @t1 @t43)) % 0.50/0.97 (define @t325 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t153 @t2)) % 0.50/0.97 (define @t326 () (not (tptp.c_Finite__Set_Ofinite @t43 @t1))) % 0.50/0.97 (define @t327 () (not @t318)) % 0.50/0.97 (define @t328 () (@list @t17 @t1 @t43)) % 0.50/0.97 (define @t329 () (@var "T_aa" $$unsorted)) % 0.50/0.97 (define @t330 () (tptp.c_Set_Oinsert @t4 @t55 @t1)) % 0.50/0.97 (define @t331 () (tptp.c_Suc @t56)) % 0.50/0.97 (define @t332 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t8 @t1)) % 0.50/0.97 (define @t333 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t9 @t1)) % 0.50/0.97 (define @t334 () (@var "V_m2" $$unsorted)) % 0.50/0.97 (define @t335 () (@var "V_m1" $$unsorted)) % 0.50/0.97 (define @t336 () (@var "V_m3" $$unsorted)) % 0.50/0.97 (define @t337 () (not @t125)) % 0.50/0.97 (define @t338 () (not @t67)) % 0.50/0.97 (define @t339 () (@var "V_i" $$unsorted)) % 0.50/0.97 (define @t340 () (tptp.hBOOL (tptp.c_in @t339 @t28 @t1))) % 0.50/0.97 (define @t341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t27) @t339))) % 0.50/0.97 (define @t342 () (not (tptp.class_HOL_Oord @t1))) % 0.50/0.97 (define @t343 () (@list @t1 @t339 @t27)) % 0.50/0.97 (define @t344 () (tptp.c_Finite__Set_Ofinite @t18 @t1)) % 0.50/0.97 (define @t345 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t24 @t22 @t1)) % 0.50/0.97 (define @t346 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 0.50/0.97 (define @t347 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 0.50/0.97 (define @t348 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t229 @t106 @t2) @t1)) % 0.50/0.97 (define @t349 () (tptp.hAPP @t44 @t74)) % 0.50/0.97 (define @t350 () (tptp.hBOOL (tptp.hAPP @t349 @t17))) % 0.50/0.97 (define @t351 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t74 @t2) @t295)) % 0.50/0.97 (define @t352 () (not @t350)) % 0.50/0.97 (define @t353 () (@list @t9 @t1)) % 0.50/0.97 (define @t354 () (tptp.hAPP @t164 @t4)) % 0.50/0.97 (define @t355 () (@var "V_nat_H" $$unsorted)) % 0.50/0.97 (define @t356 () (@var "V_nat" $$unsorted)) % 0.50/0.97 (define @t357 () (tptp.hBOOL (tptp.hAPP @t77 @t9))) % 0.50/0.97 (define @t358 () (not @t213)) % 0.50/0.97 (define @t359 () (@list @t17 @t43 @t1 @t9)) % 0.50/0.97 (define @t360 () (tptp.hBOOL (tptp.c_in @t62 @t77 @t1))) % 0.50/0.97 (define @t361 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t270 @t1)) % 0.50/0.97 (define @t362 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t32 @t1) @t361)) % 0.50/0.97 (define @t363 () (= @t361 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t35 @t1))) % 0.50/0.97 (define @t364 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t119 @t2)) % 0.50/0.97 (define @t365 () (tptp.hBOOL (tptp.c_in @t4 (tptp.c_Map_Odom @t164 @t1 @t57) @t1))) % 0.50/0.97 (define @t366 () (= @t354 (tptp.c_Option_Ooption_ONone @t57))) % 0.50/0.97 (define @t367 () (not @t348)) % 0.50/0.97 (define @t368 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t27 @t1)) % 0.50/0.97 (define @t369 () (tptp.c_SetInterval_Oord__class_OatMost @t27 @t1)) % 0.50/0.97 (define @t370 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t43 @t1) @t13))) % 0.50/0.97 (define @t371 () (@list @t1 @t17 @t43)) % 0.50/0.97 (define @t372 () (tptp.hBOOL (tptp.hAPP @t250 @t14))) % 0.50/0.97 (define @t373 () (tptp.hBOOL (tptp.hAPP @t238 @t14))) % 0.50/0.97 (define @t374 () (@list @t1 @t8 @t9)) % 0.50/0.97 (define @t375 () (tptp.hAPP @t37 @t32)) % 0.50/0.97 (define @t376 () (tptp.hBOOL (tptp.hAPP @t375 @t9))) % 0.50/0.97 (define @t377 () (not @t261)) % 0.50/0.97 (define @t378 () (not @t266)) % 0.50/0.97 (define @t379 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t181) @t9))) % 0.50/0.97 (define @t380 () (not @t271)) % 0.50/0.97 (define @t381 () (tptp.hBOOL (tptp.hAPP @t246 @t178))) % 0.50/0.97 (define @t382 () (tptp.hBOOL (tptp.hAPP @t248 @t179))) % 0.50/0.97 (define @t383 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t179) @t177))) % 0.50/0.97 (define @t384 () (tptp.hBOOL (tptp.hAPP @t275 @t4))) % 0.50/0.97 (define @t385 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t43 @t1) @t11))) % 0.50/0.97 (define @t386 () (not (tptp.hBOOL (tptp.c_in @t9 @t3 @t1)))) % 0.50/0.97 (define @t387 () (tptp.hBOOL (tptp.hAPP @t105 @t9))) % 0.50/0.97 (define @t388 () (@list @t105 @t9 @t1)) % 0.50/0.97 (define @t389 () (@var "V_d" $$unsorted)) % 0.50/0.97 (define @t390 () (= @t177 @t389)) % 0.50/0.97 (define @t391 () (= @t177 @t62)) % 0.50/0.97 (define @t392 () (not (= @t197 (tptp.c_Set_Oinsert @t62 (tptp.c_Set_Oinsert @t389 @t3 @t1) @t1)))) % 0.50/0.97 (define @t393 () (@list @t4 @t177 @t1 @t62 @t389)) % 0.50/0.97 (define @t394 () (= @t4 @t389)) % 0.50/0.97 (define @t395 () (= @t4 @t62)) % 0.50/0.97 (define @t396 () (= @t4 @t177)) % 0.50/0.97 (define @t397 () (not @t387)) % 0.50/0.97 (define @t398 () (not (= @t77 @t3))) % 0.50/0.97 (define @t399 () (= @t17 @t3)) % 0.50/0.97 (define @t400 () (tptp.hBOOL (tptp.hAPP @t45 @t83))) % 0.50/0.97 (define @t401 () (= @t17 @t307)) % 0.50/0.97 (define @t402 () (tptp.c_COMBK @t62 @t1 @t57)) % 0.50/0.97 (define @t403 () (@var "V_D" $$unsorted)) % 0.50/0.97 (define @t404 () (tptp.hAPP @t44 @t43)) % 0.50/0.97 (define @t405 () (tptp.hBOOL (tptp.hAPP @t404 @t74))) % 0.50/0.97 (define @t406 () (not @t405)) % 0.50/0.97 (define @t407 () (tptp.hBOOL (tptp.hAPP @t45 @t74))) % 0.50/0.97 (define @t408 () (not @t407)) % 0.50/0.97 (define @t409 () (not (tptp.hBOOL (tptp.hAPP @t404 @t403)))) % 0.50/0.97 (define @t410 () (tptp.hAPP @t44 @t55)) % 0.50/0.97 (define @t411 () (@list @t1 @t17 @t43 @t74 @t403)) % 0.50/0.97 (define @t412 () (tptp.hAPP @t44 @t77)) % 0.50/0.97 (define @t413 () (tptp.hBOOL (tptp.hAPP @t412 @t74))) % 0.50/0.97 (define @t414 () (not @t413)) % 0.50/0.97 (define @t415 () (@list @t1 @t17 @t74 @t43)) % 0.50/0.97 (define @t416 () (tptp.hBOOL (tptp.hAPP @t349 @t43))) % 0.50/0.97 (define @t417 () (tptp.hBOOL (tptp.hAPP @t349 @t55))) % 0.50/0.97 (define @t418 () (@list @t1 @t74 @t17 @t43)) % 0.50/0.97 (define @t419 () (= @t77 @t43)) % 0.50/0.97 (define @t420 () (tptp.hBOOL (tptp.hAPP @t404 @t17))) % 0.50/0.97 (define @t421 () (not @t420)) % 0.50/0.97 (define @t422 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t121) @t83))) % 0.50/0.97 (define @t423 () (@list @t1 @t43 @t17)) % 0.50/0.97 (define @t424 () (tptp.c_Set_Oinsert @t177 @t43 @t1)) % 0.50/0.97 (define @t425 () (tptp.c_lessequals @t94)) % 0.50/0.97 (define @t426 () (@list @t57 @t58 @t17 @t1 @t43)) % 0.50/0.97 (define @t427 () (not @t417)) % 0.50/0.97 (define @t428 () (tptp.c_Set_Oimage @t58 @t43 @t57 @t1)) % 0.50/0.97 (define @t429 () (tptp.c_Set_Oimage @t58 @t17 @t57 @t1)) % 0.50/0.97 (define @t430 () (tptp.c_Set_Oinsert @t4 @t43 @t57)) % 0.50/0.97 (define @t431 () (@var "V_h" $$unsorted)) % 0.50/0.97 (define @t432 () (tptp.hBOOL (tptp.c_in @t61 @t429 @t1))) % 0.50/0.97 (define @t433 () (not (tptp.hBOOL (tptp.c_in @t9 @t17 @t57)))) % 0.50/0.97 (define @t434 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.50/0.97 (define @t435 () (@var "V_Procs" $$unsorted)) % 0.50/0.97 (define @t436 () (tptp.tc_fun @t1 @t110)) % 0.50/0.97 (define @t437 () (tptp.tc_fun @t436 @t434)) % 0.50/0.97 (define @t438 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.50/0.97 (define @t439 () (tptp.c_COMBB @t438 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname)) % 0.50/0.97 (define @t440 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t1)) % 0.50/0.97 (define @t441 () (tptp.c_COMBB @t440 @t105 @t436 (tptp.tc_fun tptp.tc_Com_Ocom @t437) tptp.tc_Com_Opname)) % 0.50/0.97 (define @t442 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t441 @t439 tptp.tc_Com_Opname tptp.tc_Com_Ocom @t437) @t103 tptp.tc_Com_Opname @t436 @t434) @t435 tptp.tc_Com_Opname @t434)) % 0.50/0.97 (define @t443 () (tptp.tc_fun @t434 tptp.tc_bool)) % 0.50/0.97 (define @t444 () (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS @t441 tptp.c_Com_Ocom_OBODY tptp.tc_Com_Opname tptp.tc_Com_Ocom @t437) @t103 tptp.tc_Com_Opname @t436 @t434) @t435 tptp.tc_Com_Opname @t434)) % 0.50/0.97 (define @t445 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t106 @t444 @t443)) % 0.50/0.97 (define @t446 () (@list @t106 @t1 @t105 @t103 @t435)) % 0.50/0.97 (define @t447 () (@var "V_ts" $$unsorted)) % 0.50/0.97 (define @t448 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert @t234 @t447 @t434) @t1)) % 0.50/0.97 (define @t449 () (not @t448)) % 0.50/0.97 (define @t450 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t447 @t1)) % 0.50/0.97 (define @t451 () (not @t450)) % 0.50/0.97 (define @t452 () (@list @t106 @t447 @t1)) % 0.50/0.97 (define @t453 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t164 @t22 @t1)) % 0.50/0.97 (define @t454 () (tptp.hBOOL (tptp.c_in @t339 @t369 @t1))) % 0.50/0.97 (define @t455 () (tptp.hAPP @t37 @t339)) % 0.50/0.97 (define @t456 () (tptp.hBOOL (tptp.hAPP @t455 @t27))) % 0.50/0.97 (define @t457 () (tptp.c_HOL_Ominus__class_Ominus @t294 @t119 @t2)) % 0.50/0.97 (define @t458 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t24 @t164 @t1)) % 0.50/0.97 (define @t459 () (@var "V_s_H" $$unsorted)) % 0.50/0.97 (define @t460 () (not (tptp.c_Natural_Oevaln @t62 @t205 @t56 @t459))) % 0.50/0.97 (define @t461 () (tptp.c_Set_Oimage @t58 @t174 @t57 @t1)) % 0.50/0.97 (define @t462 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t71 @t1)) % 0.50/0.97 (define @t463 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t270 @t1)) % 0.50/0.97 (define @t464 () (tptp.hBOOL (tptp.c_in @t4 (tptp.c_Set_Oinsert @t177 @t17 @t1) @t1))) % 0.50/0.97 (define @t465 () (@list @t57)) % 0.50/0.97 (define @t466 () (tptp.c_SetInterval_Oord__class_OlessThan @t22 @t1)) % 0.50/0.97 (define @t467 () (not (tptp.c_Map_Omap__le @t58 @t297 @t1 @t57))) % 0.50/0.97 (define @t468 () (tptp.c_SetInterval_Oord__class_OlessThan @t24 @t1)) % 0.50/0.97 (define @t469 () (@var "V_Z" $$unsorted)) % 0.50/0.97 (define @t470 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.50/0.97 (define @t471 () (tptp.c_SetInterval_Oord__class_OatLeast @t8 @t1)) % 0.50/0.97 (define @t472 () (tptp.c_SetInterval_Oord__class_OatLeast @t9 @t1)) % 0.50/0.97 (define @t473 () (tptp.hBOOL (tptp.c_in @t62 @t17 @t57))) % 0.50/0.97 (define @t474 () (tptp.c_Set_Ovimage @t308 @t17 @t1 @t57)) % 0.50/0.97 (define @t475 () (@list @t62 @t57 @t1 @t17)) % 0.50/0.97 (define @t476 () (@var "V_fun1_H" $$unsorted)) % 0.50/0.97 (define @t477 () (@var "V_fun1" $$unsorted)) % 0.50/0.97 (define @t478 () (@var "V_fun2_H" $$unsorted)) % 0.50/0.97 (define @t479 () (@var "V_com_H" $$unsorted)) % 0.50/0.97 (define @t480 () (@var "V_fun2" $$unsorted)) % 0.50/0.97 (define @t481 () (@var "V_com" $$unsorted)) % 0.50/0.97 (define @t482 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t440 @t477) @t481) @t480) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t440 @t476) @t479) @t478)))) % 0.50/0.97 (define @t483 () (@list @t1 @t477 @t481 @t480 @t476 @t479 @t478)) % 0.50/0.97 (define @t484 () (tptp.c_Finite__Set_Ofinite @t121 @t1)) % 0.50/0.97 (define @t485 () (tptp.c_Finite__Set_Ofinite @t120 @t1)) % 0.50/0.97 (define @t486 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t2)) % 0.50/0.97 (define @t487 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t12 @t1) @t12)) % 0.50/0.97 (define @t488 () (tptp.c_Finite__Set_Ofinite @t325 @t1)) % 0.50/0.97 (define @t489 () (@list @t56)) % 0.50/0.97 (define @t490 () (tptp.c_Finite__Set_Olinorder__class_OMax @t17 @t1)) % 0.50/0.97 (define @t491 () (tptp.c_SetInterval_Oord__class_OatMost @t8 @t1)) % 0.50/0.97 (define @t492 () (tptp.c_SetInterval_Oord__class_OatMost @t9 @t1)) % 0.50/0.97 (define @t493 () (tptp.c_Finite__Set_Olinorder__class_OMin @t17 @t1)) % 0.50/0.97 (define @t494 () (tptp.hBOOL (tptp.hAPP @t127 @t9))) % 0.50/0.97 (define @t495 () (tptp.hBOOL (tptp.hAPP @t17 @t61))) % 0.50/0.97 (define @t496 () (@list @t1 @t9 @t17)) % 0.50/0.97 (define @t497 () (@var "V_pn" $$unsorted)) % 0.50/0.97 (define @t498 () (tptp.hAPP tptp.c_Com_Obody @t497)) % 0.50/0.97 (define @t499 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t497)) % 0.50/0.97 (define @t500 () (tptp.hAPP @t438 @t498)) % 0.50/0.97 (define @t501 () (tptp.hAPP @t440 @t105)) % 0.50/0.97 (define @t502 () (tptp.hAPP (tptp.hAPP @t501 @t500) @t103)) % 0.50/0.97 (define @t503 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t56 @t502 @t1)) % 0.50/0.97 (define @t504 () (tptp.hAPP (tptp.hAPP @t501 @t499) @t103)) % 0.50/0.97 (define @t505 () (tptp.c_Hoare__Mirabelle_Otriple__valid @t331 @t504 @t1)) % 0.50/0.97 (define @t506 () (@list @t56 @t1 @t105 @t497 @t103)) % 0.50/0.97 (define @t507 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t445 @t442 @t1))) % 0.50/0.97 (define @t508 () (tptp.c_Orderings_Obot__class_Obot @t443)) % 0.50/0.97 (define @t509 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.50/0.97 (define @t510 () (tptp.tc_fun @t509 tptp.tc_bool)) % 0.50/0.97 (define @t511 () (tptp.c_Orderings_Obot__class_Obot @t510)) % 0.50/0.97 (define @t512 () (tptp.c_Set_Oinsert @t201 @t511 @t509)) % 0.50/0.97 (define @t513 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t511 @t512 tptp.tc_Com_Ostate)) % 0.50/0.97 (define @t514 () (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t200 @t105) @t62) @t103) @t511 @t509)) % 0.50/0.97 (define @t515 () (not tptp.c_Com_OWT__bodies)) % 0.50/0.97 (define @t516 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.50/0.97 (define @t517 () (@var "V_N" $$unsorted)) % 0.50/0.97 (define @t518 () (@var "V_M" $$unsorted)) % 0.50/0.97 (define @t519 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t518) @t517)))) % 0.50/0.97 (define @t520 () (= @t518 @t3)) % 0.50/0.97 (define @t521 () (not (tptp.c_Finite__Set_Ofinite @t517 @t1))) % 0.50/0.97 (define @t522 () (tptp.hAPP @t438 (tptp.hAPP tptp.c_Com_Obody @t105))) % 0.50/0.97 (define @t523 () (@var "V_s0" $$unsorted)) % 0.50/0.97 (define @t524 () (not (tptp.class_Orderings_Obot @t1))) % 0.50/0.97 (define @t525 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t4 @t177 @t1)) % 0.50/0.97 (define @t526 () (= @t525 @t3)) % 0.50/0.97 (define @t527 () (= @t3 @t525)) % 0.50/0.97 (define @t528 () (tptp.hBOOL (tptp.hAPP @t248 @t4))) % 0.50/0.97 (define @t529 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t4 @t177 @t1)) % 0.50/0.97 (define @t530 () (not (tptp.hBOOL (tptp.hAPP @t134 @t27)))) % 0.50/0.97 (define @t531 () (@list @t1 @t27 @t24)) % 0.50/0.97 (define @t532 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__funI__1__1 @t58 @t297 @t1 @t57)) % 0.50/0.97 (define @t533 () (tptp.c_lessequals @t57)) % 0.50/0.97 (define @t534 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals (tptp.tc_fun @t1 @t57)) @t58) @t297))) % 0.50/0.97 (define @t535 () (not (tptp.class_HOL_Oord @t57))) % 0.50/0.97 (define @t536 () (@list @t57 @t1 @t58 @t297)) % 0.50/0.97 (define @t537 () (tptp.c_ATP__Linkup_Osko__Orderings__Xle__fun__def__1__1 @t58 @t297 @t1 @t57)) % 0.50/0.97 (define @t538 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t472) @t471))) % 0.50/0.97 (define @t539 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t525) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t62 @t389 @t1)))) % 0.50/0.97 (define @t540 () (@list @t1 @t4 @t177 @t62 @t389)) % 0.50/0.97 (define @t541 () (not @t539)) % 0.50/0.97 (define @t542 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t62) @t4))) % 0.50/0.97 (define @t543 () (@list @t1 @t62 @t4 @t177 @t389)) % 0.50/0.97 (define @t544 () (tptp.hBOOL (tptp.hAPP @t248 @t389))) % 0.50/0.97 (define @t545 () (@list @t1 @t177 @t389 @t4 @t62)) % 0.50/0.97 (define @t546 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t492) @t491))) % 0.50/0.97 (define @t547 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t333) @t332))) % 0.50/0.97 (define @t548 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t42) @t41))) % 0.50/0.97 (define @t549 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t529) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t62 @t389 @t1))))) % 0.50/0.97 (define @t550 () (tptp.hAPP @t44 @t3)) % 0.50/0.97 (define @t551 () (@list @t1 @t58 @t17 @t57)) % 0.50/0.97 (define @t552 () (not (tptp.hBOOL (tptp.hAPP @t404 @t429)))) % 0.50/0.97 (define @t553 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t17 @t43 @t58 @t57 @t1)) % 0.50/0.97 (define @t554 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t106)) % 0.50/0.97 (define @t555 () (not (tptp.c_Com_OWT @t62))) % 0.50/0.97 (define @t556 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t512 tptp.tc_Com_Ostate)) % 0.50/0.97 (define @t557 () (@list @t106 @t62)) % 0.50/0.97 (define @t558 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.50/0.97 (define @t559 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert @t234 @t508 @t434) @t1)) % 0.50/0.97 (define @t560 () (tptp.c_Set_Oinsert @t502 @t508 @t434)) % 0.50/0.97 (define @t561 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert @t504 @t508 @t434) @t1)) % 0.50/0.97 (define @t562 () (@list @t106 @t1 @t105 @t497 @t103)) % 0.50/0.97 (define @t563 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT @t439 tptp.tc_Com_Ocom @t509 tptp.tc_Com_Opname)) % 0.50/0.97 (define @t564 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t509 tptp.tc_Com_Opname)) % 0.50/0.97 (define @t565 () (tptp.c_Set_Oimage @t564 @t435 tptp.tc_Com_Opname @t509)) % 0.50/0.97 (define @t566 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t499)) % 0.50/0.97 (define @t567 () (@var "V_ts_H" $$unsorted)) % 0.50/0.97 (define @t568 () (tptp.c_lessequals @t443)) % 0.50/0.97 (define @t569 () (tptp.hAPP @t568 @t447)) % 0.50/0.97 (define @t570 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t105) @t103)))) % 0.50/0.97 (define @t571 () (tptp.hBOOL (tptp.hAPP @t103 @t9))) % 0.50/0.97 (define @t572 () (tptp.hBOOL (tptp.hAPP @t250 @t9))) % 0.50/0.97 (define @t573 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.50/0.97 (define @t574 () (@var "V_G_H" $$unsorted)) % 0.50/0.97 (define @t575 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t574 @t447 @t1))) % 0.50/0.97 (define @t576 () (@list @t106 @t447 @t1 @t574)) % 0.50/0.97 (define @t577 () (forall (@list @t106 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t508 @t1))) % 0.50/0.97 (define @t578 () (tptp.c_Set_Oimage @t58 @t307 @t57 @t1)) % 0.50/0.97 (define @t579 () (@var "V_pname_H" $$unsorted)) % 0.50/0.97 (define @t580 () (@var "V_pname" $$unsorted)) % 0.50/0.97 (define @t581 () (tptp.c_Set_Oimage @t564 @t558 tptp.tc_Com_Opname @t509)) % 0.50/0.97 (define @t582 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t581 @t511 tptp.tc_Com_Ostate)) % 0.50/0.97 (define @t583 () (@var "T_1" $$unsorted)) % 0.50/0.97 (define @t584 () (@var "T_2" $$unsorted)) % 0.50/0.97 (define @t585 () (tptp.tc_fun @t584 @t583)) % 0.50/0.97 (define @t586 () (@list @t584 @t583)) % 0.50/0.97 (define @t587 () (not (tptp.class_Lattices_Olattice @t583))) % 0.50/0.97 (define @t588 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t583))) % 0.50/0.97 (define @t589 () (tptp.c_fequal @t1)) % 0.50/0.97 (define @t590 () (@var "V_Y" $$unsorted)) % 0.50/0.97 (define @t591 () (@var "V_X" $$unsorted)) % 0.50/0.97 (assume @p1 (forall @t7 (or @t6 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t4 @t4 @t1) @t5)))) % 0.50/0.97 (assume @p2 (forall @t16 (or @t15 (not (= @t14 @t13)) (not (= @t12 @t11)) (= @t10 @t8)))) % 0.50/0.97 (assume @p3 (forall @t21 (= @t20 @t18))) % 0.50/0.97 (assume @p4 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t23 @t2) @t3)))) % 0.50/0.97 (assume @p5 (forall @t31 (or @t30 (= (tptp.c_HOL_Ouminus__class_Ouminus @t29 @t2) @t28)))) % 0.50/0.97 (assume @p6 (forall @t39 (or @t38 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t36) @t34))))) % 0.50/0.97 (assume @p7 (forall @t16 (or @t30 (not (= @t42 @t41)) @t40))) % 0.50/0.97 (assume @p8 (forall @t50 (or (= @t49 @t43) @t47))) % 0.50/0.97 (assume @p9 (forall @t16 (or @t38 @t52))) % 0.50/0.97 (assume @p10 (forall @t16 (or @t53 @t52))) % 0.50/0.97 (assume @p11 (forall @t50 (= @t55 @t54))) % 0.50/0.97 (assume @p12 (forall (@list @t1 @t56) (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_SetInterval_Oord__class_OatMost @t56 @t1) (tptp.c_SetInterval_Oord__class_OatLeast @t56 @t1) @t2) (tptp.c_Set_Oinsert @t56 @t3 @t1))))) % 0.50/0.97 (assume @p13 (forall (@list @t58 @t9 @t8 @t1 @t57) (or (not (= @t61 @t60)) (= (tptp.c_Set_Oinsert @t9 @t59 @t57) @t59)))) % 0.50/0.97 (assume @p14 (forall @t66 (or @t65 @t64))) % 0.50/0.97 (assume @p15 (forall @t68 (or @t67 @t64))) % 0.50/0.97 (assume @p16 (forall @t39 (or @t38 @t70))) % 0.50/0.97 (assume @p17 (forall @t39 (or @t38 @t72))) % 0.50/0.97 (assume @p18 (forall @t39 (or @t73 @t72))) % 0.50/0.97 (assume @p19 (forall @t39 (or @t73 @t70))) % 0.50/0.97 (assume @p20 (forall @t78 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t74 @t2) @t76))) % 0.50/0.97 (assume @p21 (forall @t80 (= @t76 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t79 @t2)))) % 0.50/0.97 (assume @p22 (forall @t16 (or @t15 (= @t82 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t81 @t1))))) % 0.50/0.97 (assume @p23 (forall @t50 (= @t84 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t83 @t2)))) % 0.50/0.97 (assume @p24 (forall @t7 (or @t30 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t5 @t1) @t4)))) % 0.50/0.97 (assume @p25 (forall (@list @t1 @t9 @t86 @t85) (or @t89 (not (= @t88 @t87)) (= @t86 @t85)))) % 0.50/0.97 (assume @p26 (forall (@list @t1 @t90 @t8 @t9) (or @t89 (not (= (tptp.c_HOL_Ominus__class_Ominus @t90 @t8 @t1) @t88)) (= @t90 @t8)))) % 0.50/0.97 (assume @p27 (forall (@list @t1 @t91) (not (= @t93 @t92)))) % 0.50/0.97 (assume @p28 (forall (@list @t1 @t8) (not (= @t93 @t60)))) % 0.50/0.97 (assume @p29 (forall (@list @t58 @t9 @t57 @t1) (tptp.hBOOL (tptp.c_in @t61 @t96 @t1)))) % 0.50/0.97 (assume @p30 (forall @t116 (or @t115 @t114 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP @t105 @t107)) @t108) (tptp.hAPP @t103 @t107)) @t100 @t99) tptp.t_b)) @t98))) % 0.50/0.97 (assume @p31 (forall @t116 (or @t115 @t114 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP @t104 @t107)) @t108) (tptp.hAPP @t102 @t107)) @t100 @t99) tptp.t_b) @t98))) % 0.50/0.97 (assume @p32 (forall @t78 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t119 @t2) @t118 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t75 @t2) @t117 @t2)))) % 0.50/0.97 (assume @p33 (forall @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t17 @t2) @t120))) % 0.50/0.97 (assume @p34 (forall @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t121 @t2) @t120))) % 0.50/0.97 (assume @p35 (forall @t123 (or @t15 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t1) @t13)))) % 0.50/0.97 (assume @p36 (forall @t123 (or @t15 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t10 @t1) @t13)))) % 0.50/0.97 (assume @p37 (forall (@list @t9 @t90 @t1) (or (not (= (tptp.c_Set_Oinsert @t9 @t90 @t1) @t3)) (tptp.hBOOL (tptp.c_in @t9 @t90 @t1))))) % 0.50/0.97 (assume @p38 (forall @t126 (or @t125 @t67 @t124))) % 0.50/0.97 (assume @p39 (forall @t128 (= (tptp.c_Set_Ovimage @t58 (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t94) @t1 @t57) (tptp.c_HOL_Ouminus__class_Ouminus @t127 @t2)))) % 0.50/0.97 (assume @p40 (forall @t133 (or @t132 @t131))) % 0.50/0.97 (assume @p41 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t23 @t2) @t136) @t135))) % 0.50/0.97 (assume @p42 (forall (@list @t8 @t17 @t1 @t9) (or @t140 @t138))) % 0.50/0.97 (assume @p43 (forall @t144 (or (= (tptp.c_Set_Oinsert @t61 @t143 @t57) @t143) @t142))) % 0.50/0.97 (assume @p44 (forall @t147 (or @t146 @t47 @t141))) % 0.50/0.97 (assume @p45 (forall @t149 (or @t46 @t141 @t148))) % 0.50/0.97 (assume @p46 (forall @t149 (or @t46 @t148 @t141))) % 0.50/0.97 (assume @p47 (forall @t151 (or (not (= @t129 @t145)) @t132 @t141 @t150))) % 0.50/0.97 (assume @p48 (forall @t155 (or (= @t154 @t55) @t152))) % 0.50/0.97 (assume @p49 (forall @t158 (or (= @t157 @t119) @t156))) % 0.50/0.97 (assume @p50 (forall (@list @t43 @t17 @t1) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t17 @t2) @t159))) % 0.50/0.97 (assume @p51 (forall @t50 (= @t49 @t77))) % 0.50/0.97 (assume @p52 (forall (@list @t57 @t17 @t43) (or (not (tptp.class_HOL_Ominus @t57)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t17 @t43 @t161) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t160 (tptp.hAPP @t43 tptp.v_x) @t57))))) % 0.50/0.97 (assume @p53 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t77 @t74 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t163 @t162 @t2)))) % 0.50/0.97 (assume @p54 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t166 @t165 @t2) @t3)))) % 0.50/0.97 (assume @p55 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t169 @t25 @t2) @t168) @t135))) % 0.50/0.97 (assume @p56 (forall (@list @t4 @t58 @t43 @t1 @t57) (or @t173 (not @t171)))) % 0.50/0.97 (assume @p57 (forall (@list @t4 @t58 @t17 @t57 @t1) (or (tptp.hBOOL (tptp.c_in @t4 @t174 @t57)) (not (tptp.hBOOL (tptp.c_in @t170 @t17 @t1)))))) % 0.50/0.97 (assume @p58 (forall (@list @t4 @t58 @t43 @t57 @t1) (or (tptp.hBOOL (tptp.c_in @t4 @t175 @t57)) (not (tptp.hBOOL (tptp.c_in @t170 @t43 @t1)))))) % 0.50/0.97 (assume @p59 (forall @t176 (or @t171 (not @t173)))) % 0.50/0.97 (assume @p60 (forall (@list @t58 @t4 @t17 @t57 @t1) (or (tptp.hBOOL (tptp.c_in @t170 @t17 @t57)) (not (tptp.hBOOL (tptp.c_in @t4 @t127 @t1)))))) % 0.50/0.97 (assume @p61 (forall @t183 (or @t182 (= @t181 (tptp.c_HOL_Ouminus__class_Ouminus @t180 @t1))))) % 0.50/0.97 (assume @p62 (forall @t50 (= @t77 @t159))) % 0.50/0.97 (assume @p63 (forall @t16 (or @t73 @t185))) % 0.50/0.97 (assume @p64 (forall @t16 (or @t38 @t185))) % 0.50/0.97 (assume @p65 (forall @t50 (= (tptp.c_HOL_Ouminus__class_Ouminus @t55 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t83 @t2)))) % 0.50/0.97 (assume @p66 (forall @t16 (or @t15 (= (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t81 @t1))))) % 0.50/0.97 (assume @p67 (forall @t183 (or @t182 (= (tptp.c_HOL_Ouminus__class_Ouminus @t181 @t1) @t180)))) % 0.50/0.97 (assume @p68 (forall @t21 (or (= @t18 @t17) @t186))) % 0.50/0.97 (assume @p69 (forall @t21 (= @t18 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t17 @t2)))) % 0.50/0.97 (assume @p70 (forall @t50 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t77 @t2) @t77))) % 0.50/0.97 (assume @p71 (forall @t16 (or @t73 @t187))) % 0.50/0.97 (assume @p72 (forall @t16 (or @t38 @t187))) % 0.50/0.97 (assume @p73 (forall @t50 (= (tptp.c_HOL_Ouminus__class_Ouminus @t77 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t83 @t2)))) % 0.50/0.97 (assume @p74 (forall @t16 (or @t15 (= (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t81 @t1))))) % 0.50/0.97 (assume @p75 (forall @t183 (or @t182 (= (tptp.c_HOL_Ouminus__class_Ouminus @t189 @t1) @t188)))) % 0.50/0.97 (assume @p76 (forall @t50 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t48 @t2) @t3))) % 0.50/0.97 (assume @p77 (forall @t192 (or @t191 @t190))) % 0.50/0.97 (assume @p78 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t166 @t193 @t2) @t3)))) % 0.50/0.97 (assume @p79 (forall @t195 (= (tptp.c_Set_Ovimage @t58 @t194 @t1 @t57) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t127 @t172 @t2)))) % 0.50/0.97 (assume @p80 (forall @t183 (or @t198 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t197 @t1) @t189)))) % 0.50/0.97 (assume @p81 (forall @t202 (= @t201 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t200 (tptp.c_fequal tptp.tc_Com_Ostate)) @t62) @t199)))) % 0.50/0.97 (assume @p82 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 @t23 @t2) @t3)))) % 0.50/0.97 (assume @p83 (forall (@list @t56 @t105 @t205 @t204) (or (= @t56 (tptp.c_Suc @t208)) @t207))) % 0.50/0.97 (assume @p84 (forall @t50 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t83 @t2) @t55))) % 0.50/0.97 (assume @p85 (forall @t31 (or @t6 (= (tptp.c_HOL_Ominus__class_Ominus @t209 @t29 @t2) @t209)))) % 0.50/0.97 (assume @p86 (forall @t151 (or (= @t210 (tptp.c_Set_Oinsert @t9 @t84 @t1)) @t132))) % 0.50/0.97 (assume @p87 (forall @t214 (or @t213 @t212))) % 0.50/0.97 (assume @p88 (forall (@list @t17 @t9 @t43 @t1) (or @t137 @t212))) % 0.50/0.97 (assume @p89 (forall @t215 (or @t198 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t120 @t1) @t13)))) % 0.50/0.97 (assume @p90 (forall @t217 (or (= (tptp.c_HOL_Ominus__class_Ominus @t129 @t216 @t2) @t17) @t141))) % 0.50/0.97 (assume @p91 (forall @t221 (or @t220 (not @t218)))) % 0.50/0.97 (assume @p92 (forall @t221 (or @t218 (not @t220)))) % 0.50/0.97 (assume @p93 (forall @t122 (= (tptp.c_HOL_Ouminus__class_Ouminus @t121 @t2) @t17))) % 0.50/0.97 (assume @p94 (forall @t7 (or @t223 (= @t222 @t4)))) % 0.50/0.97 (assume @p95 (forall @t123 (or @t15 (= (tptp.c_HOL_Ouminus__class_Ouminus @t10 @t1) @t9)))) % 0.50/0.97 (assume @p96 (forall @t225 (or @t223 (= @t177 @t224)))) % 0.50/0.97 (assume @p97 (forall @t7 (or @t223 (= @t4 @t222)))) % 0.50/0.97 (assume @p98 (forall @t225 (or @t223 (= @t224 @t177)))) % 0.50/0.97 (assume @p99 (forall @t183 (or @t89 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t4 @t177 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t177 @t4 @t1))))) % 0.50/0.97 (assume @p100 (forall @t195 (= (tptp.c_Set_Ovimage @t58 @t226 @t1 @t57) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t127 @t172 @t2)))) % 0.50/0.98 (assume @p101 (forall @t231 (or @t230 @t228))) % 0.50/0.98 (assume @p102 (forall @t231 (or @t230 @t233))) % 0.50/0.98 (assume @p103 (forall (@list @t62 @t205 @t234 @t56) (or @t236 (not (tptp.c_Natural_Oevaln @t62 @t205 @t56 @t234))))) % 0.50/0.98 (assume @p104 (forall (@list @t62 @t205 @t234 @t9) (or @t236 (not (tptp.c_Natural_Oevaln @t62 @t205 @t9 @t234))))) % 0.50/0.98 (assume @p105 (forall @t242 (or @t241 @t240 @t239 (not @t237)))) % 0.50/0.98 (assume @p106 (forall @t242 (or @t241 @t240 @t237 @t243))) % 0.50/0.98 (assume @p107 (forall (@list @t1 @t4 @t9 @t177) (or @t73 @t247 @t245))) % 0.50/0.98 (assume @p108 (forall (@list @t1 @t177 @t9 @t4) (or @t73 @t249 @t245))) % 0.50/0.98 (assume @p109 (forall @t254 (or @t73 @t253 @t252))) % 0.50/0.98 (assume @p110 (forall @t254 (or @t73 @t253 @t256))) % 0.50/0.98 (assume @p111 (forall @t260 (or @t73 @t259 @t258))) % 0.50/0.98 (assume @p112 (forall @t262 (or @t73 @t261 @t258))) % 0.50/0.98 (assume @p113 (forall @t123 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.hBOOL (tptp.hAPP @t250 @t13))))) % 0.50/0.98 (assume @p114 (forall @t16 (or @t53 @t264))) % 0.50/0.98 (assume @p115 (forall @t16 (or @t53 @t265))) % 0.50/0.98 (assume @p116 (forall @t254 (or @t53 @t266 @t256 @t252))) % 0.50/0.98 (assume @p117 (forall @t39 (or @t53 @t271 @t269 @t268))) % 0.50/0.98 (assume @p118 (forall @t16 (or @t38 @t265))) % 0.50/0.98 (assume @p119 (forall @t16 (or @t38 @t264))) % 0.50/0.98 (assume @p120 (forall @t16 (or @t73 @t272 @t268))) % 0.50/0.98 (assume @p121 (forall @t16 (or @t73 (not @t272) @t267))) % 0.50/0.98 (assume @p122 (forall @t16 (or @t73 (= @t14 @t9) @t243))) % 0.50/0.98 (assume @p123 (forall @t277 (or @t241 @t276 @t274))) % 0.50/0.98 (assume @p124 (forall @t183 (or @t241 @t273 (not @t276)))) % 0.50/0.98 (assume @p125 (forall @t16 (or @t53 @t278 @t268))) % 0.50/0.98 (assume @p126 (forall @t16 (or @t53 (not @t278) @t267))) % 0.50/0.98 (assume @p127 (forall @t16 (or @t53 (= @t12 @t8) @t243))) % 0.50/0.98 (assume @p128 (forall @t281 (or @t73 @t244 @t280 @t279))) % 0.50/0.98 (assume @p129 (forall @t50 (= (tptp.c_HOL_Ominus__class_Ominus @t84 @t43 @t2) @t84))) % 0.50/0.98 (assume @p130 (forall (@list @t105 @t103 @t57 @t285 @t1 @t282) (= (tptp.hAPP (tptp.c_COMBS @t105 @t103 @t57 @t285 @t1) @t282) (tptp.hAPP @t284 @t283)))) % 0.50/0.98 (assume @p131 (forall (@list @t105 @t1 @t57 @t103) (= (tptp.hAPP (tptp.c_COMBK @t105 @t1 @t57) @t103) @t105))) % 0.50/0.98 (assume @p132 (forall (@list @t286 @t9 @t1) (or @t288 (not @t287)))) % 0.50/0.98 (assume @p133 (forall (@list @t9 @t286 @t1) (or @t287 (not @t288)))) % 0.50/0.98 (assume @p134 (forall (@list @t9 @t8 @t17 @t1) (= (tptp.c_Set_Oinsert @t9 @t139 @t1) (tptp.c_Set_Oinsert @t8 @t129 @t1)))) % 0.50/0.98 (assume @p135 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t203 @t23 @t2) @t289) @t135))) % 0.50/0.98 (assume @p136 (forall @t167 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t292 @t165 @t2) @t203) @t291 @t290))) % 0.50/0.98 (assume @p137 (forall (@list @t9 @t43 @t1) (tptp.hBOOL (tptp.c_in @t9 @t145 @t1)))) % 0.50/0.98 (assume @p138 (forall (@list @t4 @t43 @t1) (tptp.hBOOL (tptp.c_in @t4 @t153 @t1)))) % 0.50/0.98 (assume @p139 (forall @t217 (tptp.hBOOL (tptp.c_in @t9 @t129 @t1)))) % 0.50/0.98 (assume @p140 (forall @t123 (or @t73 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t9 @t1) @t9)))) % 0.50/0.98 (assume @p141 (forall @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t17 @t2) @t17))) % 0.50/0.98 (assume @p142 (forall @t262 (or @t293 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t9 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t9 @t1) @t1))))) % 0.50/0.98 (assume @p143 (forall @t39 (or @t293 (= @t34 @t36)))) % 0.50/0.98 (assume @p144 (forall @t80 (= @t295 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t294 @t2)))) % 0.50/0.98 (assume @p145 (forall @t296 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t17 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t118 @t2)))) % 0.50/0.98 (assume @p146 (forall @t301 (or @t300 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t297 @t161) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t299 @t298 @t57))))) % 0.50/0.98 (assume @p147 (forall @t50 (or @t303 (= @t84 @t17)))) % 0.50/0.98 (assume @p148 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t304 @t25 @t2) @t203) @t135))) % 0.50/0.98 (assume @p149 (forall (@list @t177 @t4 @t1) (or (= @t177 @t4) (not (tptp.hBOOL (tptp.c_in @t177 @t5 @t1)))))) % 0.50/0.98 (assume @p150 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t306 @t305 @t2) @t203) @t135))) % 0.50/0.98 (assume @p151 (forall (@list @t62 @t57 @t1 @t17 @t9) (or (= (tptp.c_Set_Oimage @t308 @t17 @t1 @t57) (tptp.c_Set_Oinsert @t62 @t307 @t57)) @t142))) % 0.50/0.98 (assume @p152 (forall @t147 (or @t309 @t142 @t148))) % 0.50/0.98 (assume @p153 (forall @t147 (or @t146 @t142 @t310))) % 0.50/0.98 (assume @p154 (forall @t151 (or (= @t210 @t84) @t311))) % 0.50/0.98 (assume @p155 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t313 @t312 @t2) @t3)))) % 0.50/0.98 (assume @p156 (forall @t31 (or @t30 (= (tptp.c_HOL_Ouminus__class_Ouminus @t28 @t2) @t29)))) % 0.50/0.98 (assume @p157 (forall (@list @t58 @t9 @t1 @t57 @t17) (or (not (= @t61 @t93)) (= (tptp.c_HOL_Ominus__class_Ominus @t59 (tptp.c_Set_Oinsert @t9 @t17 @t57) @t94) (tptp.c_HOL_Ominus__class_Ominus @t59 @t17 @t94))))) % 0.50/0.98 (assume @p158 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t314 @t2) @t3)))) % 0.50/0.98 (assume @p159 (forall @t316 (or @t124 (not @t315)))) % 0.50/0.98 (assume @p160 (forall @t316 (or @t315 @t65))) % 0.50/0.98 (assume @p161 (forall @t123 (or @t15 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t10 @t1) @t11)))) % 0.50/0.98 (assume @p162 (forall @t123 (or @t15 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t9 @t1) @t11)))) % 0.50/0.98 (assume @p163 (forall @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t121 @t2) @t3))) % 0.50/0.98 (assume @p164 (forall @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t17 @t2) @t3))) % 0.50/0.98 (assume @p165 (forall @t50 (or @t318 @t317))) % 0.50/0.98 (assume @p166 (forall @t158 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t74 @t2) (tptp.c_Set_Oinsert @t4 @t75 @t1)))) % 0.50/0.98 (assume @p167 (forall @t155 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t153 @t2) (tptp.c_Set_Oinsert @t4 @t77 @t1)))) % 0.50/0.98 (assume @p168 (forall @t195 (= (tptp.c_Set_Ovimage @t58 @t319 @t1 @t57) (tptp.c_HOL_Ominus__class_Ominus @t127 @t172 @t2)))) % 0.50/0.98 (assume @p169 (forall @t167 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t166 @t165 @t2) @t25) @t291 @t290))) % 0.50/0.98 (assume @p170 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t25 @t2) @t3)))) % 0.50/0.98 (assume @p171 (forall @t320 (= (tptp.c_Set_Ovimage @t58 @t95 @t1 @t57) @t120))) % 0.50/0.98 (assume @p172 (forall @t322 (or @t198 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t18 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t321 @t1))))) % 0.50/0.98 (assume @p173 (forall @t123 (or @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t13 @t1) @t13)))) % 0.50/0.98 (assume @p174 (forall @t123 (or @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t9 @t1) @t13)))) % 0.50/0.98 (assume @p175 (forall @t324 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t43 @t2) @t120))) % 0.50/0.98 (assume @p176 (forall @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t120 @t2) @t120))) % 0.50/0.98 (assume @p177 (forall @t50 (= (tptp.c_HOL_Ouminus__class_Ouminus @t84 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t43 @t2)))) % 0.50/0.98 (assume @p178 (forall @t155 (= @t325 (tptp.c_HOL_Ominus__class_Ominus @t84 @t5 @t2)))) % 0.50/0.98 (assume @p179 (forall @t155 (= @t325 (tptp.c_HOL_Ominus__class_Ominus @t19 @t43 @t2)))) % 0.50/0.98 (assume @p180 (forall @t328 (or @t190 @t327 @t326))) % 0.50/0.98 (assume @p181 (forall @t50 (or @t318 @t317 @t326))) % 0.50/0.98 (assume @p182 (forall (@list @t4 @t58 @t1 @t329) (tptp.hBOOL (tptp.c_in @t4 (tptp.c_Set_Ovimage @t58 (tptp.c_Set_Oinsert @t170 @t3 @t1) @t329 @t1) @t329)))) % 0.50/0.98 (assume @p183 (forall (@list @t4 @t17 @t1 @t43) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t153 @t2) @t330))) % 0.50/0.98 (assume @p184 (forall (@list @t56 @t234 @t1) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t56 @t234 @t1) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t331 @t234 @t1))))) % 0.50/0.98 (assume @p185 (forall @t16 (or @t30 (not (= @t333 @t332)) @t40))) % 0.50/0.98 (assume @p186 (forall @t217 (= (tptp.c_Set_Oinsert @t9 @t129 @t1) @t129))) % 0.50/0.98 (assume @p187 (forall (@list @t58 @t1 @t57) (tptp.c_Map_Omap__le @t58 @t58 @t1 @t57))) % 0.50/0.98 (assume @p188 (forall (@list @t335 @t336 @t1 @t57 @t334) (or (tptp.c_Map_Omap__le @t335 @t336 @t1 @t57) (not (tptp.c_Map_Omap__le @t334 @t336 @t1 @t57)) (not (tptp.c_Map_Omap__le @t335 @t334 @t1 @t57))))) % 0.50/0.98 (assume @p189 (forall (@list @t17 @t9 @t8 @t1) (or @t137 (= @t8 @t9) (not @t140)))) % 0.50/0.98 (assume @p190 (forall @t66 (or @t65 @t337))) % 0.50/0.98 (assume @p191 (forall @t68 (or @t338 @t337))) % 0.50/0.98 (assume @p192 (forall (@list @t1 @t27 @t339) (or @t342 @t341 (not @t340)))) % 0.50/0.98 (assume @p193 (forall @t343 (or @t342 @t340 (not @t341)))) % 0.50/0.98 (assume @p194 (forall (@list @t17 @t1 @t4) (or @t190 (not @t344)))) % 0.50/0.98 (assume @p195 (forall @t21 (or @t344 @t317))) % 0.50/0.98 (assume @p196 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t345 @t314 @t2) @t3)))) % 0.50/0.98 (assume @p197 (forall (@list @t347 @t9 @t346 @t1 @t57) (or (= (tptp.hAPP @t347 @t9) (tptp.hAPP @t346 @t9)) (not (tptp.hBOOL (tptp.c_in @t9 (tptp.c_Map_Odom @t347 @t1 @t57) @t1))) (not (tptp.c_Map_Omap__le @t347 @t346 @t1 @t57))))) % 0.50/0.98 (assume @p198 (forall @t231 (or @t348 @t228 @t233))) % 0.50/0.98 (assume @p199 (forall @t78 (or (not @t351) @t350))) % 0.50/0.98 (assume @p200 (forall @t78 (or @t351 @t352))) % 0.50/0.98 (assume @p201 (forall @t353 (tptp.hBOOL (tptp.c_in @t9 @t120 @t1)))) % 0.50/0.98 (assume @p202 (forall (@list @t91 @t1) (not (= @t92 @t93)))) % 0.50/0.98 (assume @p203 (forall (@list @t90 @t1) (not (= (tptp.c_Option_Ooption_OSome @t90 @t1) @t93)))) % 0.50/0.98 (assume @p204 (forall (@list @t4 @t1 @t91) (or (not (= (tptp.c_Option_Ooption_OSome @t4 @t1) @t92)) (= @t4 @t91)))) % 0.50/0.98 (assume @p205 (forall (@list @t164 @t4 @t177 @t1 @t57) (or (not (= @t354 (tptp.c_Option_Ooption_OSome @t177 @t1))) (tptp.hBOOL (tptp.c_in @t4 (tptp.c_Map_Odom @t164 @t57 @t1) @t57))))) % 0.50/0.98 (assume @p206 (forall @t122 (= @t121 (tptp.c_HOL_Ominus__class_Ominus @t120 @t17 @t2)))) % 0.50/0.98 (assume @p207 (forall (@list @t9 @t8) (or (not (= (tptp.c_Suc @t9) (tptp.c_Suc @t8))) @t40))) % 0.50/0.98 (assume @p208 (forall (@list @t356 @t355) (or (not (= (tptp.c_Suc @t356) (tptp.c_Suc @t355))) (= @t356 @t355)))) % 0.50/0.98 (assume @p209 (forall @t214 (or @t213 @t137 (not @t357)))) % 0.50/0.98 (assume @p210 (forall @t359 (or @t357 @t358))) % 0.50/0.98 (assume @p211 (forall @t359 (or @t357 @t138))) % 0.50/0.98 (assume @p212 (forall @t68 (or @t67 @t65 (not @t360)))) % 0.50/0.98 (assume @p213 (forall @t39 (or @t38 @t362))) % 0.50/0.98 (assume @p214 (forall @t39 (or @t38 @t363))) % 0.50/0.98 (assume @p215 (forall @t39 (or @t53 @t363))) % 0.50/0.98 (assume @p216 (forall @t39 (or @t53 @t362))) % 0.50/0.98 (assume @p217 (forall @t78 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t55 @t74 @t2) @t364))) % 0.50/0.98 (assume @p218 (forall @t80 (= @t364 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t294 @t2)))) % 0.50/0.98 (assume @p219 (forall @t167 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t313 @t312 @t2) @t306) @t291 @t290))) % 0.50/0.98 (assume @p220 (forall (@list @t164 @t4 @t57 @t1) (or (not @t366) (not @t365)))) % 0.50/0.98 (assume @p221 (forall (@list @t4 @t164 @t1 @t57) (or @t365 @t366))) % 0.50/0.98 (assume @p222 (forall @t7 (or @t30 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t5 @t1) @t4)))) % 0.50/0.98 (assume @p223 (forall (@list @t229 @t1 @t106) (or @t232 @t367))) % 0.50/0.98 (assume @p224 (forall (@list @t106 @t1 @t229) (or @t227 @t367))) % 0.50/0.98 (assume @p225 (forall @t31 (or @t30 (= (tptp.c_HOL_Ouminus__class_Ouminus @t369 @t2) @t368)))) % 0.50/0.98 (assume @p226 (forall @t371 (or @t323 @t370 (= @t43 @t13)))) % 0.50/0.98 (assume @p227 (forall @t16 (or @t73 @t372))) % 0.50/0.98 (assume @p228 (forall @t374 (or @t73 @t373))) % 0.50/0.98 (assume @p229 (forall @t262 (or @t73 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t33) @t9)) (not @t376) @t243))) % 0.50/0.98 (assume @p230 (forall @t39 (or @t73 @t257 @t377 @t269))) % 0.50/0.98 (assume @p231 (forall @t374 (or @t38 @t373))) % 0.50/0.98 (assume @p232 (forall @t16 (or @t38 @t372))) % 0.50/0.98 (assume @p233 (forall @t254 (or @t53 @t251 @t378))) % 0.50/0.98 (assume @p234 (forall (@list @t1 @t9 @t177 @t4) (or @t53 @t255 @t378))) % 0.50/0.98 (assume @p235 (forall @t281 (or @t53 @t379 @t279))) % 0.50/0.98 (assume @p236 (forall @t281 (or @t53 @t379 @t280))) % 0.50/0.98 (assume @p237 (forall @t39 (or @t53 @t267 @t380))) % 0.50/0.98 (assume @p238 (forall @t260 (or @t53 @t259 @t380))) % 0.50/0.98 (assume @p239 (forall @t277 (or @t241 @t382 (not @t381)))) % 0.50/0.98 (assume @p240 (forall @t183 (or @t241 @t381 (not @t382)))) % 0.50/0.98 (assume @p241 (forall @t277 (or @t241 @t384 (not @t383)))) % 0.50/0.98 (assume @p242 (forall @t183 (or @t241 @t383 (not @t384)))) % 0.50/0.98 (assume @p243 (forall @t123 (or @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t9 @t1) @t9)))) % 0.50/0.98 (assume @p244 (forall @t123 (or @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t11 @t1) @t9)))) % 0.50/0.98 (assume @p245 (forall @t123 (or @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t9 @t1) @t11)))) % 0.50/0.98 (assume @p246 (forall @t123 (or @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t11 @t1) @t11)))) % 0.50/0.98 (assume @p247 (forall @t371 (or @t323 @t385 (= @t17 @t11)))) % 0.50/0.98 (assume @p248 (forall @t371 (or @t323 @t385 (= @t43 @t11)))) % 0.50/0.98 (assume @p249 (forall @t320 (= (tptp.c_Set_Ovimage @t58 @t307 @t1 @t57) @t3))) % 0.50/0.98 (assume @p250 (forall @t215 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t2) @t3))) % 0.50/0.98 (assume @p251 (forall @t353 @t386)) % 0.50/0.98 (assume @p252 (forall @t388 (or @t387 @t386))) % 0.50/0.98 (assume @p253 (forall (@list @t62 @t1) (not (tptp.hBOOL (tptp.c_in @t62 @t3 @t1))))) % 0.50/0.98 (assume @p254 (forall (@list @t4 @t1) (not (tptp.hBOOL (tptp.c_in @t4 @t3 @t1))))) % 0.50/0.98 (assume @p255 (forall @t322 (not (= @t3 @t18)))) % 0.50/0.98 (assume @p256 (forall @t393 (or @t392 @t391 @t390))) % 0.50/0.98 (assume @p257 (forall @t393 (or @t392 @t394 @t390))) % 0.50/0.98 (assume @p258 (forall @t393 (or @t392 @t391 @t395))) % 0.50/0.98 (assume @p259 (forall @t393 (or @t392 @t394 @t395))) % 0.50/0.98 (assume @p260 (forall @t215 (not (= @t120 @t3)))) % 0.50/0.98 (assume @p261 (forall @t192 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t17 @t2) @t3))) % 0.50/0.98 (assume @p262 (forall @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t3 @t2) @t17))) % 0.50/0.98 (assume @p263 (forall @t324 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t43 @t2) @t43))) % 0.50/0.98 (assume @p264 (forall @t122 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t2) @t3))) % 0.50/0.98 (assume @p265 (forall @t122 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t3 @t2) @t17))) % 0.50/0.98 (assume @p266 (forall @t215 (tptp.c_Finite__Set_Ofinite @t3 @t1))) % 0.50/0.98 (assume @p267 (forall @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t3 @t2) @t3))) % 0.50/0.98 (assume @p268 (forall @t324 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t43 @t2) @t3))) % 0.50/0.98 (assume @p269 (forall @t21 (not (= @t18 @t3)))) % 0.50/0.98 (assume @p270 (forall (@list @t90 @t9 @t1) (= (tptp.c_Set_Oinsert @t90 @t216 @t1) (tptp.c_Set_Oinsert @t9 (tptp.c_Set_Oinsert @t90 @t3 @t1) @t1)))) % 0.50/0.98 (assume @p271 (forall (@list @t4 @t1 @t177) (or (not (= @t5 @t196)) @t396))) % 0.50/0.98 (assume @p272 (forall @t388 (or @t397 @t386))) % 0.50/0.98 (assume @p273 (forall @t50 (or @t398 (= @t43 @t3)))) % 0.50/0.98 (assume @p274 (forall @t50 (or @t398 @t399))) % 0.50/0.98 (assume @p275 (forall (@list @t58 @t297 @t1 @t285 @t57) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t58 @t297 @t1 @t285 @t57) @t95 @t57 @t285) @t285) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t297 @t95 @t57 @t1) @t1))))) % 0.50/0.98 (assume @p276 (forall @t147 (or @t146 @t47 @t310))) % 0.50/0.98 (assume @p277 (forall @t50 (or @t302 (not @t400)))) % 0.50/0.98 (assume @p278 (forall @t50 (or @t303 @t400))) % 0.50/0.98 (assume @p279 (forall (@list @t62 @t1 @t57 @t17) (or (= (tptp.c_Set_Oimage @t402 @t17 @t57 @t1) (tptp.c_Set_Oinsert @t62 @t3 @t1)) @t401))) % 0.50/0.98 (assume @p280 (forall (@list @t1 @t4 @t74 @t403) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_Set_Oinsert @t4 @t74 @t1)) (tptp.c_Set_Oinsert @t4 @t403 @t1))) (not (tptp.hBOOL (tptp.hAPP @t349 @t403)))))) % 0.50/0.98 (assume @p281 (forall (@list @t43 @t74 @t17 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t43 (tptp.c_HOL_Ominus__class_Ominus @t74 @t17 @t2) @t2) @t17) @t406 @t47))) % 0.50/0.98 (assume @p282 (forall @t411 (or (tptp.hBOOL (tptp.hAPP @t410 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t74 @t403 @t2))) @t409 @t408))) % 0.50/0.98 (assume @p283 (forall @t328 (or @t190 @t47 @t326))) % 0.50/0.98 (assume @p284 (forall @t328 (or @t190 @t326 @t47))) % 0.50/0.98 (assume @p285 (forall (@list @t234 @t43 @t1 @t17) (or (tptp.hBOOL (tptp.c_in @t234 @t43 @t1)) (not (tptp.hBOOL (tptp.c_in @t234 @t17 @t1))) @t47))) % 0.50/0.98 (assume @p286 (forall @t133 (or @t132 @t47 @t142))) % 0.50/0.98 (assume @p287 (forall @t68 (or @t67 @t124 @t47))) % 0.50/0.98 (assume @p288 (forall @t133 (or @t132 @t142 @t47))) % 0.50/0.98 (assume @p289 (forall (@list @t1 @t43 @t74 @t17) (or @t405 @t414))) % 0.50/0.98 (assume @p290 (forall @t415 (or @t407 @t414))) % 0.50/0.98 (assume @p291 (forall @t192 (tptp.hBOOL (tptp.hAPP @t45 @t120)))) % 0.50/0.98 (assume @p292 (forall @t418 (or @t417 (not @t416) @t352))) % 0.50/0.98 (assume @p293 (forall @t371 (tptp.hBOOL (tptp.hAPP @t410 @t43)))) % 0.50/0.98 (assume @p294 (forall @t371 (tptp.hBOOL (tptp.hAPP @t410 @t17)))) % 0.50/0.98 (assume @p295 (forall @t411 (or (tptp.hBOOL (tptp.hAPP @t412 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t403 @t2))) @t409 @t408))) % 0.50/0.98 (assume @p296 (forall @t50 (or (not @t419) @t46))) % 0.50/0.98 (assume @p297 (forall @t50 (or (= @t77 @t17) @t421))) % 0.50/0.98 (assume @p298 (forall @t50 (or @t419 @t47))) % 0.50/0.98 (assume @p299 (forall @t411 (or (tptp.hBOOL (tptp.hAPP @t219 (tptp.c_HOL_Ominus__class_Ominus @t74 @t403 @t2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t403) @t43))) @t408))) % 0.50/0.98 (assume @p300 (forall (@list @t1 @t43 @t4) (tptp.hBOOL (tptp.hAPP @t404 @t153)))) % 0.50/0.98 (assume @p301 (forall @t371 (or @t422 @t421))) % 0.50/0.98 (assume @p302 (forall @t423 (or @t420 (not @t422)))) % 0.50/0.98 (assume @p303 (forall @t423 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t83) @t121)) @t47))) % 0.50/0.98 (assume @p304 (forall (@list @t1 @t17 @t177 @t43) (or (tptp.hBOOL (tptp.hAPP @t45 @t424)) @t47))) % 0.50/0.98 (assume @p305 (forall @t149 (or @t46 @t131))) % 0.50/0.98 (assume @p306 (forall @t50 (or (= @t55 @t17) @t47))) % 0.50/0.98 (assume @p307 (forall @t50 (or (= @t55 @t43) @t421))) % 0.50/0.98 (assume @p308 (forall @t221 (or @t413 @t406 @t408))) % 0.50/0.98 (assume @p309 (forall @t423 (tptp.hBOOL (tptp.hAPP @t404 @t77)))) % 0.50/0.98 (assume @p310 (forall @t371 (tptp.hBOOL (tptp.hAPP @t45 @t77)))) % 0.50/0.98 (assume @p311 (forall @t371 (tptp.hBOOL (tptp.hAPP @t219 @t17)))) % 0.50/0.98 (assume @p312 (forall @t426 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 @t174) @t175)) @t47))) % 0.50/0.98 (assume @p313 (forall (@list @t1 @t74 @t43 @t17) (or @t416 @t427))) % 0.50/0.98 (assume @p314 (forall @t418 (or @t350 @t427))) % 0.50/0.98 (assume @p315 (forall @t195 (= (tptp.c_Set_Oimage @t58 @t194 @t57 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t429 @t428 @t2)))) % 0.50/0.98 (assume @p316 (forall @t176 (= (tptp.c_Set_Oimage @t58 @t430 @t57 @t1) (tptp.c_Set_Oinsert @t170 @t428 @t1)))) % 0.50/0.98 (assume @p317 (forall (@list @t431 @t229 @t1 @t57) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t431 @t229 @t1 @t57) @t57) @t233))) % 0.50/0.98 (assume @p318 (forall (@list @t9 @t17 @t329 @t58 @t1) (or (not (tptp.hBOOL (tptp.c_in @t9 @t17 @t329))) (tptp.hBOOL (tptp.c_in @t61 (tptp.c_Set_Oimage @t58 @t17 @t329 @t1) @t1))))) % 0.50/0.98 (assume @p319 (forall (@list @t9 @t17 @t57 @t58 @t1) (or @t433 @t432))) % 0.50/0.98 (assume @p320 (forall (@list @t58 @t9 @t17 @t57 @t1) (or @t432 @t433))) % 0.50/0.98 (assume @p321 (forall @t144 (or (tptp.hBOOL (tptp.c_in @t61 @t143 @t57)) @t142))) % 0.50/0.98 (assume @p322 (forall @t446 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t106 @t444 @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t445 @t442 @t1))))) % 0.50/0.98 (assume @p323 (forall (@list @t106 @t447 @t1 @t234) (or @t450 @t449))) % 0.50/0.98 (assume @p324 (forall @t452 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t106 @t447 @t1) @t451))) % 0.50/0.98 (assume @p325 (forall @t371 (or @t323 @t370 (= @t17 @t13)))) % 0.50/0.98 (assume @p326 (forall @t167 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t313 @t453 @t2) @t203) @t291 @t290))) % 0.50/0.98 (assume @p327 (forall @t215 (or @t15 (= (tptp.c_HOL_Ouminus__class_Ouminus @t13 @t1) @t11)))) % 0.50/0.98 (assume @p328 (forall @t215 (= (tptp.c_HOL_Ouminus__class_Ouminus @t120 @t2) @t3))) % 0.50/0.98 (assume @p329 (forall @t343 (or @t342 @t456 (not @t454)))) % 0.50/0.98 (assume @p330 (forall @t343 (or @t342 @t454 (not @t456)))) % 0.50/0.98 (assume @p331 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t345 @t2) @t3)))) % 0.50/0.98 (assume @p332 (forall (@list @t74 @t17 @t43 @t1) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t74 @t84 @t2) (tptp.c_HOL_Ominus__class_Ominus @t118 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t74 @t43 @t2) @t2)))) % 0.50/0.98 (assume @p333 (forall @t78 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t84 @t74 @t2) @t457))) % 0.50/0.98 (assume @p334 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t458 @t312 @t2) @t3)))) % 0.50/0.98 (assume @p335 (forall (@list @t62 @t205 @t56 @t459) (or (tptp.c_Natural_Oevaln @t62 @t205 @t331 @t459) @t460))) % 0.50/0.98 (assume @p336 (forall @t133 (or @t311 @t142 @t303))) % 0.50/0.98 (assume @p337 (forall @t123 (or @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t13 @t1) @t9)))) % 0.50/0.98 (assume @p338 (forall @t123 (or @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t9 @t1) @t9)))) % 0.50/0.98 (assume @p339 (forall @t324 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t120 @t43 @t2) @t43))) % 0.50/0.98 (assume @p340 (forall @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t120 @t2) @t17))) % 0.50/0.98 (assume @p341 (forall @t128 (= @t461 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t96 @t2)))) % 0.50/0.98 (assume @p342 (forall @t39 (or @t38 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t463) @t462))))) % 0.50/0.98 (assume @p343 (forall (@list @t1 @t24) (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t304 @t136 @t2) @t289)))) % 0.50/0.98 (assume @p344 (forall (@list @t17 @t74 @t1 @t43) (= @t457 (tptp.c_HOL_Ominus__class_Ominus @t294 @t43 @t2)))) % 0.50/0.98 (assume @p345 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t313 @t453 @t2) @t3)))) % 0.50/0.98 (assume @p346 (forall @t16 (or @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t12 @t1) @t9)))) % 0.50/0.98 (assume @p347 (forall @t123 (tptp.hBOOL (tptp.hAPP @t120 @t9)))) % 0.50/0.98 (assume @p348 (forall (@list @t4 @t17 @t1 @t177) (or @t152 @t396 (not @t464)))) % 0.50/0.98 (assume @p349 (forall @t16 (or @t15 (not (= @t10 @t81)) @t40))) % 0.50/0.98 (assume @p350 (forall @t183 (or @t223 (not (= @t179 @t178)) @t396))) % 0.50/0.98 (assume @p351 (forall @t328 (or (not (= @t121 @t83)) @t150))) % 0.50/0.98 (assume @p352 (forall @t465 (or (not (tptp.class_Orderings_Otop @t57)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t161) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t57))))) % 0.50/0.98 (assume @p353 (forall (@list @t1 @t22) (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t466 @t305 @t2) @t168)))) % 0.50/0.98 (assume @p354 (forall (@list @t22 @t234 @t62 @t205) (or (= @t22 @t234) (not (tptp.hBOOL (tptp.hAPP @t235 @t22))) (not @t236)))) % 0.50/0.98 (assume @p355 (forall (@list @t58 @t297 @t1 @t57) (or (= @t58 @t297) (not (tptp.c_Map_Omap__le @t297 @t58 @t1 @t57)) @t467))) % 0.50/0.98 (assume @p356 (forall @t16 (or @t38 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t14 @t1) @t9)))) % 0.50/0.98 (assume @p357 (forall @t50 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t84 @t55 @t2) @t17))) % 0.50/0.98 (assume @p358 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t468 @t306 @t2) @t466) @t135))) % 0.50/0.98 (assume @p359 (forall (@list @t103 @t469 @t459 @t62 @t205 @t56 @t105) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t469) @t459)) @t460 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t105 @t469) @t205))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t56 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a) @t105) @t62) @t103) tptp.t_a))))) % 0.50/0.98 (assume @p360 (= (tptp.hAPP @t470 tptp.v_x) (tptp.c_in tptp.v_x @t470 tptp.t_a))) % 0.50/0.98 (assume @p361 (forall @t16 (or @t30 (not (= @t472 @t471)) @t40))) % 0.50/0.98 (assume @p362 (forall @t475 (or (= @t474 @t3) @t473))) % 0.50/0.98 (assume @p363 (forall @t483 (or @t482 (= @t477 @t476)))) % 0.50/0.98 (assume @p364 (forall @t483 (or @t482 (= @t481 @t479)))) % 0.50/0.98 (assume @p365 (forall @t483 (or @t482 (= @t480 @t478)))) % 0.50/0.98 (assume @p366 (forall @t192 (or @t485 (not @t484) @t317))) % 0.50/0.98 (assume @p367 (forall @t122 (or @t484 (not @t485) @t317))) % 0.50/0.98 (assume @p368 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t292 @t193 @t2) @t3)))) % 0.50/0.98 (assume @p369 (forall @t158 (or (= @t157 (tptp.c_Set_Oinsert @t4 @t119 @t1)) (not @t156)))) % 0.50/0.98 (assume @p370 (forall @t155 (or (= @t154 @t330) @t186))) % 0.50/0.98 (assume @p371 (forall @t122 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t120 @t2) @t3))) % 0.50/0.98 (assume @p372 (forall (@list @t58 @t4 @t177 @t57 @t1) (or (= @t170 @t177) (not (tptp.hBOOL (tptp.c_in @t4 (tptp.c_Set_Ovimage @t58 (tptp.c_Set_Oinsert @t177 @t307 @t57) @t1 @t57) @t1)))))) % 0.50/0.98 (assume @p373 (forall (@list @t57 @t17) (or (not (tptp.class_HOL_Ouminus @t57)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t161) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus @t160 @t57))))) % 0.50/0.98 (assume @p374 (forall @t262 (or @t293 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t270 @t9 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t184 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t9 @t1) @t1))))) % 0.50/0.98 (assume @p375 (forall @t39 (or @t293 (= @t463 @t462)))) % 0.50/0.98 (assume @p376 (forall @t80 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t119 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t79 @t2)))) % 0.50/0.98 (assume @p377 (forall @t296 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t119 @t17 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t159 @t117 @t2)))) % 0.50/0.98 (assume @p378 (forall @t217 (tptp.hBOOL (tptp.hAPP @t129 @t9)))) % 0.50/0.98 (assume @p379 (forall (@list @t1 @t9 @t17 @t43) (or @t130 @t47 @t311))) % 0.50/0.98 (assume @p380 (forall @t215 (or @t15 (= (tptp.c_HOL_Ouminus__class_Ouminus @t11 @t1) @t13)))) % 0.50/0.98 (assume @p381 (forall @t215 (= @t486 @t120))) % 0.50/0.98 (assume @p382 (forall @t16 (or @t38 @t487))) % 0.50/0.98 (assume @p383 (forall @t16 (or @t53 @t487))) % 0.50/0.98 (assume @p384 (forall @t50 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t55 @t2) @t55))) % 0.50/0.98 (assume @p385 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t468 @t203 @t2) @t168) @t135))) % 0.50/0.98 (assume @p386 (forall (@list @t17 @t43 @t1 @t4) (or @t318 (not @t488)))) % 0.50/0.98 (assume @p387 (forall @t155 (or @t488 @t327))) % 0.50/0.98 (assume @p388 (forall @t215 (or @t191 @t485))) % 0.50/0.98 (assume @p389 (forall @t126 (or @t360 @t338))) % 0.50/0.98 (assume @p390 (forall @t126 (or @t360 @t124))) % 0.50/0.98 (assume @p391 (forall @t489 (not (= @t331 @t56)))) % 0.50/0.98 (assume @p392 (forall @t489 (not (= @t56 @t331)))) % 0.50/0.98 (assume @p393 (forall @t21 (or (= @t20 @t17) @t186))) % 0.50/0.98 (assume @p394 (forall @t123 (or @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t9 @t1) @t9)))) % 0.50/0.98 (assume @p395 (forall @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t17 @t2) @t17))) % 0.50/0.98 (assume @p396 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t292 @t165 @t2) @t3)))) % 0.50/0.98 (assume @p397 (forall @t192 (or @t30 (tptp.hBOOL (tptp.c_in @t490 @t17 @t1)) @t399 @t317))) % 0.50/0.98 (assume @p398 (forall @t301 (or @t300 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t58 @t297 @t161) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t299 @t298 @t57))))) % 0.50/0.98 (assume @p399 (forall @t7 (or @t198 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t5 @t1) @t4)))) % 0.50/0.98 (assume @p400 (forall (@list @t4 @t177 @t43 @t1) (or (tptp.hBOOL (tptp.c_in @t4 @t424 @t1)) (not (tptp.hBOOL (tptp.c_in @t4 @t43 @t1)))))) % 0.50/0.98 (assume @p401 (forall (@list @t4 @t177 @t17 @t1) (or @t464 @t186))) % 0.50/0.98 (assume @p402 (forall @t80 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t75 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t84 @t163 @t2)))) % 0.50/0.98 (assume @p403 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t55 @t74 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t162 @t2)))) % 0.50/0.98 (assume @p404 (forall (@list @t1 @t339 @t164 @t56) (or @t30 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t339 @t164 @t1) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t339 @t56 @t1) @t2) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t56 @t164 @t1)) (not (tptp.hBOOL (tptp.hAPP @t455 @t56)))))) % 0.50/0.98 (assume @p405 (forall @t167 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t458 @t453 @t2) @t3)))) % 0.50/0.98 (assume @p406 (forall @t16 (or @t30 (not (= @t492 @t491)) @t40))) % 0.50/0.98 (assume @p407 (forall @t192 (or @t30 (tptp.hBOOL (tptp.c_in @t493 @t17 @t1)) @t399 @t317))) % 0.50/0.98 (assume @p408 (forall @t353 (tptp.hBOOL (tptp.c_in @t9 @t216 @t1)))) % 0.50/0.98 (assume @p409 (forall @t176 (= (tptp.c_Set_Ovimage @t58 @t430 @t1 @t57) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t58 (tptp.c_Set_Oinsert @t4 @t307 @t57) @t1 @t57) @t172 @t2)))) % 0.50/0.98 (assume @p410 (forall @t80 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t119 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t84 @t163 @t2)))) % 0.50/0.98 (assume @p411 (forall @t31 (or @t30 (= (tptp.c_HOL_Ouminus__class_Ouminus @t368 @t2) @t369)))) % 0.50/0.98 (assume @p412 (forall (@list @t17 @t58 @t9 @t1 @t57) (or @t495 (not @t494)))) % 0.50/0.98 (assume @p413 (forall (@list @t58 @t17 @t1 @t57 @t9) (or @t494 (not @t495)))) % 0.50/0.98 (assume @p414 (forall (@list @t1 @t17 @t9) (or @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t493) @t9)) @t142 @t317))) % 0.50/0.98 (assume @p415 (forall @t126 (or @t63 @t338 @t124))) % 0.50/0.98 (assume @p416 (forall @t359 (or @t211 @t358 @t138))) % 0.50/0.98 (assume @p417 (forall @t183 (or @t182 (= @t189 (tptp.c_HOL_Ouminus__class_Ouminus @t188 @t1))))) % 0.50/0.98 (assume @p418 (forall @t475 (or (= @t474 @t120) (not @t473)))) % 0.50/0.98 (assume @p419 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t468 @t203 @t2) @t3)))) % 0.50/0.98 (assume @p420 (forall @t26 (or @t30 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t306 @t314 @t2) @t289) @t135))) % 0.50/0.98 (assume @p421 (forall @t26 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t468 @t306 @t2) @t3)))) % 0.50/0.98 (assume @p422 (forall @t496 (or @t30 (tptp.hBOOL (tptp.hAPP @t250 @t490)) @t142 @t317))) % 0.50/0.98 (assume @p423 (forall @t496 (or @t198 (tptp.hBOOL (tptp.hAPP @t250 @t321)) @t142))) % 0.50/0.98 (assume @p424 (forall (@list @t497) (or (tptp.c_Com_OWT @t499) (= @t498 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.50/0.98 (assume @p425 (forall @t506 (or @t505 (not @t503)))) % 0.50/0.98 (assume @p426 (forall @t506 (or @t503 (not @t505)))) % 0.50/0.98 (assume @p427 (forall @t123 (= (tptp.hAPP (tptp.c_Option_Othe @t1) (tptp.c_Option_Ooption_OSome @t9 @t1)) @t9))) % 0.50/0.98 (assume @p428 (forall (@list @t106 @t1 @t105 @t497 @t103 @t435) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t440 (tptp.hAPP @t105 @t497)) @t499) (tptp.hAPP @t103 @t497)) @t508 @t434) @t1) (not (tptp.hBOOL (tptp.c_in @t497 @t435 tptp.tc_Com_Opname))) @t507))) % 0.50/0.98 (assume @p429 (forall (@list @t105 @t62 @t103) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t511 @t514 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t511 @t514 tptp.tc_Com_Ostate)) (not @t513)))) % 0.50/0.98 (assume @p430 (forall (@list @t497 @t177) (or (not (= @t498 (tptp.c_Option_Ooption_OSome @t177 tptp.tc_Com_Ocom))) @t515 (tptp.c_Com_OWT @t177)))) % 0.50/0.98 (assume @p431 (forall (@list @t234) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t234) @t234)) @t516))) % 0.50/0.98 (assume @p432 (forall (@list @t1 @t517 @t518) (or @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Finite__Set_Olinorder__class_OMin @t517 @t1)) (tptp.c_Finite__Set_Olinorder__class_OMin @t518 @t1))) @t521 @t520 @t519))) % 0.50/0.98 (assume @p433 (forall (@list @t1 @t518 @t517) (or @t30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Finite__Set_Olinorder__class_OMax @t518 @t1)) (tptp.c_Finite__Set_Olinorder__class_OMax @t517 @t1))) @t521 @t520 @t519))) % 0.50/0.98 (assume @p434 (forall @t446 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t444 @t1) @t507))) % 0.50/0.98 (assume @p435 (forall (@list @t105 @t205 @t56 @t204) (or (tptp.c_Natural_Oevaln @t522 @t205 @t208 @t204) @t207))) % 0.50/0.98 (assume @p436 (forall (@list @t497 @t523 @t56 @t204) (or (tptp.c_Natural_Oevaln @t499 @t523 @t331 @t204) (not (tptp.c_Natural_Oevaln @t500 @t523 @t56 @t204))))) % 0.50/0.98 (assume @p437 (forall @t215 (or @t524 (tptp.c_Orderings_Obot__axioms @t37 @t11 @t1)))) % 0.50/0.98 (assume @p438 (forall @t183 (or @t6 (not @t526) @t274))) % 0.50/0.98 (assume @p439 (forall @t183 (or @t6 @t526 @t273))) % 0.50/0.98 (assume @p440 (forall @t183 (or @t6 (not @t527) @t274))) % 0.50/0.98 (assume @p441 (forall @t183 (or @t6 @t527 @t273))) % 0.50/0.98 (assume @p442 (forall @t183 (or @t6 (= @t529 @t3) (not @t528)))) % 0.50/0.98 (assume @p443 (forall @t531 (or @t6 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t27 @t24 @t1) @t3) @t530))) % 0.50/0.98 (assume @p444 (forall @t531 (or @t6 (= (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t27 @t24 @t1) @t3) @t530))) % 0.50/0.98 (assume @p445 (forall @t536 (or @t535 @t534 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t533 (tptp.hAPP @t58 @t532)) (tptp.hAPP @t297 @t532))))))) % 0.50/0.98 (assume @p446 (forall @t536 (or @t535 @t534 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t533 (tptp.hAPP @t58 @t537)) (tptp.hAPP @t297 @t537))))))) % 0.50/0.98 (assume @p447 (forall @t16 (or @t6 @t538 @t243))) % 0.50/0.98 (assume @p448 (forall @t374 (or @t6 @t239 (not @t538)))) % 0.50/0.98 (assume @p449 (forall @t540 (or @t6 @t539 @t273))) % 0.50/0.98 (assume @p450 (forall @t543 (or @t6 @t542 @t274 @t541))) % 0.50/0.98 (assume @p451 (forall @t545 (or @t6 @t544 @t274 @t541))) % 0.50/0.98 (assume @p452 (forall @t540 (or @t6 @t539 (not @t544) (not @t542)))) % 0.50/0.98 (assume @p453 (forall @t16 (or @t6 @t546 @t268))) % 0.50/0.98 (assume @p454 (forall @t16 (or @t6 @t267 (not @t546)))) % 0.50/0.98 (assume @p455 (forall @t16 (or @t30 @t547 @t243))) % 0.50/0.98 (assume @p456 (forall @t374 (or @t30 @t239 (not @t547)))) % 0.50/0.98 (assume @p457 (forall @t16 (or @t30 @t548 @t268))) % 0.50/0.98 (assume @p458 (forall @t16 (or @t30 @t267 (not @t548)))) % 0.50/0.98 (assume @p459 (forall @t543 (or @t30 @t542 @t528 @t549))) % 0.50/0.98 (assume @p460 (forall @t545 (or @t30 @t544 @t528 @t549))) % 0.50/0.98 (assume @p461 (forall @t465 (or (not (tptp.class_Orderings_Obot @t57)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t161) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t57))))) % 0.50/0.98 (assume @p462 (forall @t215 (or @t198 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t3 @t1) @t11)))) % 0.50/0.98 (assume @p463 (forall (@list @t58 @t297 @t285 @t1 @t57) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t58 @t297 @t285 @t1 @t57) @t95 @t57 @t1) (tptp.c_Set_Oimage @t58 (tptp.c_Set_Oimage @t297 @t95 @t57 @t285) @t285 @t1)))) % 0.50/0.98 (assume @p464 (forall (@list @t17 @t9 @t1) (or (= @t17 @t216) @t399 (not (tptp.hBOOL (tptp.hAPP @t45 @t216)))))) % 0.50/0.98 (assume @p465 (forall @t122 (or @t399 (not (tptp.hBOOL (tptp.hAPP @t45 @t121)))))) % 0.50/0.98 (assume @p466 (forall @t215 (tptp.hBOOL (tptp.hAPP @t550 @t486)))) % 0.50/0.98 (assume @p467 (forall (@list @t62 @t1 @t57) (= (tptp.c_Set_Oimage @t402 @t307 @t57 @t1) @t3))) % 0.50/0.98 (assume @p468 (forall (@list @t1 @t58 @t17 @t43 @t57) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_Set_Oimage @t58 @t226 @t57 @t1)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t429 @t428 @t2))))) % 0.50/0.98 (assume @p469 (forall @t551 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t461) @t17)))) % 0.50/0.98 (assume @p470 (forall (@list @t57 @t17 @t43 @t58 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 @t553) @t17)) @t552))) % 0.50/0.98 (assume @p471 (forall (@list @t43 @t57 @t58 @t17 @t1) (or (tptp.c_Finite__Set_Ofinite @t43 @t57) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 @t43) @t143))) @t317))) % 0.50/0.98 (assume @p472 (forall (@list @t58 @t9 @t43 @t1 @t17 @t57) (or (tptp.hBOOL (tptp.c_in @t61 @t43 @t1)) @t433 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t429) @t43)))))) % 0.50/0.98 (assume @p473 (forall (@list @t1 @t58 @t17 @t57 @t43) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_HOL_Ominus__class_Ominus @t429 @t428 @t2)) (tptp.c_Set_Oimage @t58 @t319 @t57 @t1))))) % 0.50/0.98 (assume @p474 (forall (@list @t43 @t58 @t17 @t57 @t1) (or (= @t43 (tptp.c_Set_Oimage @t58 @t553 @t57 @t1)) @t552))) % 0.50/0.98 (assume @p475 (forall (@list @t1 @t58 @t57 @t297) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_Map_Odom @t58 @t1 @t57)) (tptp.c_Map_Odom @t297 @t1 @t57))) @t467))) % 0.50/0.98 (assume @p476 (forall @t557 (or @t556 @t555 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t554)) @t511 @t509) tptp.tc_Com_Ostate)) @t516))) % 0.50/0.98 (assume @p477 (forall @t557 (or @t556 @t555 (tptp.hBOOL (tptp.c_in @t554 @t558 tptp.tc_Com_Opname)) @t516))) % 0.50/0.98 (assume @p478 (forall (@list @t106 @t234 @t447 @t1) (or @t448 @t451 (not @t559)))) % 0.50/0.98 (assume @p479 (forall (@list @t106 @t234 @t1 @t447) (or @t559 @t449))) % 0.50/0.98 (assume @p480 (forall @t562 (or @t561 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t504 @t106 @t434) @t560 @t1))))) % 0.50/0.98 (assume @p481 (forall @t562 (or @t561 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t560 @t1))))) % 0.50/0.98 (assume @p482 (tptp.c_Finite__Set_Ofinite @t558 tptp.tc_Com_Opname)) % 0.50/0.98 (assume @p483 (forall (@list @t497 @t523 @t204) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t499) @t523) @t204)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t500) @t523) @t204)))))) % 0.50/0.98 (assume @p484 (forall (@list @t105 @t205 @t204) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t522) @t205) @t204)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t206) @t205) @t204)))))) % 0.50/0.98 (assume @p485 (forall @t202 (or @t513 @t555 @t515 @t516))) % 0.50/0.98 (assume @p486 (forall (@list @t106 @t435) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t565 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t435 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t106 @t565 @t510) (tptp.c_Set_Oimage @t563 @t435 tptp.tc_Com_Opname @t509) tptp.tc_Com_Ostate))))) % 0.50/0.98 (assume @p487 (forall (@list @t106 @t497) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 (tptp.c_Set_Oinsert @t566 @t511 @t509) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t566 @t106 @t509) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t500) @t511 @t509) tptp.tc_Com_Ostate))))) % 0.50/0.98 (assume @p488 (forall @t374 (or @t30 @t239 @t267))) % 0.50/0.98 (assume @p489 (forall (@list @t57 @t9 @t17 @t1 @t58) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 @t9) @t17))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 (tptp.c_Set_Oimage @t58 @t9 @t57 @t1)) @t429))))) % 0.50/0.98 (assume @p490 (forall @t426 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t425 @t143) (tptp.c_Set_Oimage @t58 @t43 @t1 @t57))) @t47))) % 0.50/0.98 (assume @p491 (forall @t128 (or (not (= @t429 @t3)) @t401))) % 0.50/0.98 (assume @p492 (forall (@list @t106 @t447 @t1 @t567) (or @t450 (not (tptp.hBOOL (tptp.hAPP @t569 @t567))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t567 @t1))))) % 0.50/0.98 (assume @p493 (forall (@list @t103 @t9 @t1 @t105) (or @t571 @t570 @t397))) % 0.50/0.98 (assume @p494 (forall @t123 (or @t573 @t572))) % 0.50/0.98 (assume @p495 (forall @t123 (or @t6 @t572))) % 0.50/0.98 (assume @p496 (forall (@list @t103 @t9 @t105 @t1) (or @t571 @t397 @t570))) % 0.50/0.98 (assume @p497 (forall @t576 (or @t450 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t568 @t574) @t106))) @t575))) % 0.50/0.98 (assume @p498 (forall @t415 (or @t407 @t406 @t47))) % 0.50/0.98 (assume @p499 (forall @t192 (tptp.hBOOL (tptp.hAPP @t45 @t17)))) % 0.50/0.98 (assume @p500 (forall @t123 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t44 @t9) @t9)))) % 0.50/0.98 (assume @p501 (forall @t260 (or @t573 @t259 @t377 @t268))) % 0.50/0.98 (assume @p502 (forall (@list @t1 @t32 @t9 @t8) (or @t6 @t376 (not (tptp.hBOOL (tptp.hAPP @t375 @t8))) @t243))) % 0.50/0.98 (assume @p503 (forall (@list @t58 @t297 @t17 @t285 @t57 @t1) (= (tptp.c_Set_Oimage @t58 (tptp.c_Set_Oimage @t297 @t17 @t285 @t57) @t57 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t58 @t297 @t57 @t1 @t285) @t17 @t285 @t1)))) % 0.50/0.98 (assume @p504 (forall @t576 (or @t450 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t106 @t574 @t1)) @t575))) % 0.50/0.98 (assume @p505 (forall @t215 (tptp.hBOOL (tptp.hAPP @t550 @t3)))) % 0.50/0.98 (assume @p506 (forall @t122 (or @t399 (not (tptp.hBOOL (tptp.hAPP @t45 @t3)))))) % 0.50/0.98 (assume @p507 (forall @t16 (or @t6 @t40 @t268 @t243))) % 0.50/0.98 (assume @p508 (forall @t16 (or @t6 @t40 @t243 @t268))) % 0.50/0.98 (assume @p509 (forall @t50 (or @t150 @t421 @t47))) % 0.50/0.98 (assume @p510 (forall @t123 (not (tptp.hBOOL (tptp.hAPP @t3 @t9))))) % 0.50/0.98 (assume @p511 @t577) % 0.50/0.98 (assume @p512 (forall (@list @t9 @t90) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t9 @t90)))) % 0.50/0.98 (assume @p513 (forall @t123 (or @t524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t37 @t11) @t9))))) % 0.50/0.98 (assume @p514 (forall @t192 (tptp.hBOOL (tptp.hAPP @t550 @t17)))) % 0.50/0.98 (assume @p515 (forall @t551 (or (not (= @t3 @t429)) @t401))) % 0.50/0.98 (assume @p516 (forall (@list @t105 @t103 @t57 @t1 @t285 @t282) (= (tptp.hAPP (tptp.c_COMBB @t105 @t103 @t57 @t1 @t285) @t282) (tptp.hAPP @t105 @t283)))) % 0.50/0.98 (assume @p517 (forall @t320 (= @t578 @t3))) % 0.50/0.98 (assume @p518 (forall @t452 (or @t450 (not (tptp.hBOOL (tptp.hAPP @t569 @t106)))))) % 0.50/0.98 (assume @p519 (forall (@list @t580 @t579) (or (not (= (tptp.hAPP tptp.c_Com_Ocom_OBODY @t580) (tptp.hAPP tptp.c_Com_Ocom_OBODY @t579))) (= @t580 @t579)))) % 0.50/0.98 (assume @p520 (forall (@list @t1 @t58 @t57) (= @t3 @t578))) % 0.50/0.98 (assume @p521 (forall (@list @t57 @t58 @t9 @t297 @t1) (or @t535 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t533 @t61) (tptp.hAPP @t297 @t9))) (not @t534)))) % 0.50/0.98 (assume @p522 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.50/0.98 (assume @p523 tptp.c_Com_OWT__bodies) % 0.50/0.98 (assume @p524 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t510) @t511) (tptp.c_Set_Oimage @t563 @t558 tptp.tc_Com_Opname @t509)))) % 0.50/0.98 (assume @p525 (not @t582)) % 0.50/0.98 (assume @p526 (forall @t586 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t585) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t583))))) % 0.50/0.98 (assume @p527 (forall @t586 (or (tptp.class_Lattices_Oupper__semilattice @t585) @t587))) % 0.50/0.98 (assume @p528 (forall @t586 (or (tptp.class_Lattices_Olower__semilattice @t585) @t587))) % 0.50/0.98 (assume @p529 (forall @t586 (or (tptp.class_Lattices_Odistrib__lattice @t585) (not (tptp.class_Lattices_Odistrib__lattice @t583))))) % 0.50/0.98 (assume @p530 (forall @t586 (or (tptp.class_Lattices_Obounded__lattice @t585) (not (tptp.class_Lattices_Obounded__lattice @t583))))) % 0.50/0.98 (assume @p531 (forall @t586 (or (tptp.class_Lattices_Oboolean__algebra @t585) (not (tptp.class_Lattices_Oboolean__algebra @t583))))) % 0.50/0.98 (assume @p532 (forall @t586 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t585) @t588 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t584))))) % 0.50/0.98 (assume @p533 (forall @t586 (or (tptp.class_Orderings_Opreorder @t585) (not (tptp.class_Orderings_Opreorder @t583))))) % 0.50/0.98 (assume @p534 (forall @t586 (or (tptp.class_Lattices_Olattice @t585) @t587))) % 0.50/0.98 (assume @p535 (forall @t586 (or (tptp.class_Orderings_Oorder @t585) (not (tptp.class_Orderings_Oorder @t583))))) % 0.50/0.98 (assume @p536 (forall @t586 (or (tptp.class_Orderings_Otop @t585) (not (tptp.class_Orderings_Otop @t583))))) % 0.50/0.98 (assume @p537 (forall @t586 (or (tptp.class_Orderings_Obot @t585) (not (tptp.class_Orderings_Obot @t583))))) % 0.50/0.98 (assume @p538 (forall @t586 (or (tptp.class_HOL_Ouminus @t585) (not (tptp.class_HOL_Ouminus @t583))))) % 0.50/0.98 (assume @p539 (forall @t586 (or (tptp.class_HOL_Ominus @t585) (not (tptp.class_HOL_Ominus @t583))))) % 0.50/0.98 (assume @p540 (forall @t586 (or (tptp.class_HOL_Oord @t585) (not (tptp.class_HOL_Oord @t583))))) % 0.50/0.98 (assume @p541 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.50/0.98 (assume @p542 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.50/0.98 (assume @p543 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.50/0.98 (assume @p544 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.50/0.98 (assume @p545 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.50/0.98 (assume @p546 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.50/0.98 (assume @p547 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.50/0.98 (assume @p548 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.50/0.98 (assume @p549 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.50/0.98 (assume @p550 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.50/0.98 (assume @p551 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.50/0.98 (assume @p552 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.50/0.98 (assume @p553 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.50/0.98 (assume @p554 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.50/0.98 (assume @p555 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.50/0.98 (assume @p556 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.50/0.98 (assume @p557 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.50/0.98 (assume @p558 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.50/0.98 (assume @p559 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.50/0.98 (assume @p560 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.50/0.98 (assume @p561 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.50/0.98 (assume @p562 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.50/0.98 (assume @p563 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 0.50/0.98 (assume @p564 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.50/0.98 (assume @p565 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.50/0.98 (assume @p566 (forall (@list @t583) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t583)) @t588))) % 0.50/0.98 (assume @p567 (forall (@list @t105 @t103 @t282 @t57 @t285 @t1) (= (tptp.c_COMBC @t105 @t103 @t282 @t57 @t285 @t1) (tptp.hAPP @t284 @t103)))) % 0.50/0.98 (assume @p568 (forall @t123 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t589 @t9) @t9)))) % 0.50/0.98 (assume @p569 (forall (@list @t591 @t590 @t1) (or (= @t591 @t590) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t589 @t591) @t590)))))) % 0.50/0.98 (assume-push @p577 @t577) % 0.50/0.98 (step @p571 :rule instantiate :premises (@p511) :args ((@list @t581 tptp.tc_Com_Ostate))) % 0.50/0.98 (step-pop @p578 :rule scope :premises (@p571)) % 0.50/0.98 (step @p572 :rule process_scope :premises (@p578) :args (@t582)) % 0.50/0.98 (step @p574 :rule implies_elim :premises (@p572)) % 0.50/0.98 (step @p575 :rule reordering :premises (@p574) :args ((or @t582 (not @t577)))) % 0.50/0.98 (step @p576 false :rule chain_m_resolution :premises (@p575 @p525 @p511) :args (false (@list true false) (@list @t582 @t577))) % 0.50/0.98 ) % 0.50/0.98 % SZS output end Proof % 0.50/0.98 % cvc5 exiting %------------------------------------------------------------------------------