%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV905-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:35 AM UTC 2026 % Result : Unsatisfiable 0.47s 0.85s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV905-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:21:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.85 % SZS status Unsatisfiable % 0.47/0.85 % SZS output start Proof % 0.47/0.88 ( % 0.47/0.88 (declare-sort $$unsorted 0) % 0.47/0.88 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.tc_nat $$unsorted) % 0.47/0.88 (declare-const tptp.v_c $$unsorted) % 0.47/0.88 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.47/0.88 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.47/0.88 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.47/0.88 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.t_a $$unsorted) % 0.47/0.88 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.tc_bool $$unsorted) % 0.47/0.88 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.v_x $$unsorted) % 0.47/0.88 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Com_Obody $$unsorted) % 0.47/0.88 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.47/0.88 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.47/0.88 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.47/0.88 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.88 (define @t1 () (@var "T_a" $$unsorted)) % 0.47/0.88 (define @t2 () (@var "V_x" $$unsorted)) % 0.47/0.88 (define @t3 () (tptp.c_Option_Ooption_OSome @t2 @t1)) % 0.47/0.88 (define @t4 () (@var "V_k" $$unsorted)) % 0.47/0.88 (define @t5 () (@var "V_n" $$unsorted)) % 0.47/0.88 (define @t6 () (tptp.hAPP @t5 @t4)) % 0.47/0.88 (define @t7 () (= @t6 @t3)) % 0.47/0.88 (define @t8 () (@var "V_m" $$unsorted)) % 0.47/0.88 (define @t9 () (tptp.hAPP @t8 @t4)) % 0.47/0.88 (define @t10 () (= @t9 @t3)) % 0.47/0.88 (define @t11 () (@var "T_b" $$unsorted)) % 0.47/0.88 (define @t12 () (tptp.hAPP (tptp.c_Map_Omap__add @t8 @t5 @t11 @t1) @t4)) % 0.47/0.88 (define @t13 () (= @t12 @t3)) % 0.47/0.88 (define @t14 () (not @t13)) % 0.47/0.88 (define @t15 () (@list @t8 @t5 @t11 @t1 @t4 @t2)) % 0.47/0.88 (define @t16 () (tptp.c_Option_Ooption_ONone @t1)) % 0.47/0.88 (define @t17 () (= @t6 @t16)) % 0.47/0.88 (define @t18 () (not @t17)) % 0.47/0.88 (define @t19 () (= @t9 @t16)) % 0.47/0.88 (define @t20 () (= @t12 @t16)) % 0.47/0.88 (define @t21 () (not @t20)) % 0.47/0.88 (define @t22 () (@list @t8 @t5 @t11 @t1 @t4)) % 0.47/0.88 (define @t23 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.47/0.88 (define @t24 () (@var "V_B" $$unsorted)) % 0.47/0.88 (define @t25 () (@var "V_A" $$unsorted)) % 0.47/0.88 (define @t26 () (tptp.c_lessequals @t25 @t24 @t23)) % 0.47/0.88 (define @t27 () (not @t26)) % 0.47/0.88 (define @t28 () (tptp.tc_fun @t11 tptp.tc_bool)) % 0.47/0.88 (define @t29 () (@var "V_f" $$unsorted)) % 0.47/0.88 (define @t30 () (tptp.c_Set_Ovimage @t29 @t24 @t11 @t1)) % 0.47/0.88 (define @t31 () (tptp.c_Set_Ovimage @t29 @t25 @t11 @t1)) % 0.47/0.88 (define @t32 () (@list @t29 @t25 @t11 @t1 @t24)) % 0.47/0.88 (define @t33 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t25 @t23)) % 0.47/0.88 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t25 @t23)) % 0.47/0.88 (define @t35 () (@list @t24 @t25 @t1)) % 0.47/0.88 (define @t36 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t24 @t23)) % 0.47/0.88 (define @t37 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t34 @t23)) % 0.47/0.88 (define @t38 () (@list @t25 @t24 @t1)) % 0.47/0.88 (define @t39 () (tptp.tc_fun tptp.t_a @t11)) % 0.47/0.88 (define @t40 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23)) % 0.47/0.88 (define @t41 () (tptp.hAPP @t40 @t25)) % 0.47/0.88 (define @t42 () (tptp.hAPP @t41 @t24)) % 0.47/0.88 (define @t43 () (@var "V_C" $$unsorted)) % 0.47/0.88 (define @t44 () (tptp.c_lessequals @t43 @t42 @t23)) % 0.47/0.88 (define @t45 () (not @t44)) % 0.47/0.88 (define @t46 () (tptp.c_lessequals @t43 @t24 @t23)) % 0.47/0.88 (define @t47 () (tptp.c_lessequals @t43 @t25 @t23)) % 0.47/0.88 (define @t48 () (@var "V_b" $$unsorted)) % 0.47/0.88 (define @t49 () (@var "V_a" $$unsorted)) % 0.47/0.88 (define @t50 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1)) % 0.47/0.88 (define @t51 () (tptp.hAPP @t50 @t49)) % 0.47/0.88 (define @t52 () (tptp.hAPP @t51 @t48)) % 0.47/0.88 (define @t53 () (tptp.c_lessequals @t2 @t52 @t1)) % 0.47/0.88 (define @t54 () (not @t53)) % 0.47/0.88 (define @t55 () (tptp.c_lessequals @t2 @t49 @t1)) % 0.47/0.88 (define @t56 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.47/0.88 (define @t57 () (@list @t1 @t2 @t49 @t48)) % 0.47/0.88 (define @t58 () (tptp.c_lessequals @t2 @t48 @t1)) % 0.47/0.88 (define @t59 () (tptp.c_lessequals @t49 @t2 @t1)) % 0.47/0.88 (define @t60 () (not @t59)) % 0.47/0.88 (define @t61 () (tptp.c_lessequals @t52 @t2 @t1)) % 0.47/0.88 (define @t62 () (@list @t1 @t49 @t48 @t2)) % 0.47/0.88 (define @t63 () (tptp.c_lessequals @t48 @t2 @t1)) % 0.47/0.88 (define @t64 () (not @t63)) % 0.47/0.88 (define @t65 () (@var "V_z" $$unsorted)) % 0.47/0.88 (define @t66 () (@var "V_y" $$unsorted)) % 0.47/0.88 (define @t67 () (tptp.hAPP @t50 @t66)) % 0.47/0.88 (define @t68 () (tptp.hAPP @t67 @t65)) % 0.47/0.88 (define @t69 () (tptp.c_lessequals @t2 @t68 @t1)) % 0.47/0.88 (define @t70 () (not @t69)) % 0.47/0.88 (define @t71 () (tptp.c_lessequals @t2 @t66 @t1)) % 0.47/0.88 (define @t72 () (@list @t1 @t2 @t66 @t65)) % 0.47/0.88 (define @t73 () (tptp.c_lessequals @t2 @t65 @t1)) % 0.47/0.88 (define @t74 () (@list @t1 @t2 @t65 @t66)) % 0.47/0.88 (define @t75 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t43 @t23)) % 0.47/0.88 (define @t76 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t43 @t23)) % 0.47/0.88 (define @t77 () (@list @t25 @t24 @t1 @t43)) % 0.47/0.88 (define @t78 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t2 @t1)) % 0.47/0.88 (define @t79 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t66 @t1)) % 0.47/0.88 (define @t80 () (= @t79 @t78)) % 0.47/0.88 (define @t81 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.47/0.88 (define @t82 () (@list @t1 @t2 @t66)) % 0.47/0.88 (define @t83 () (not (tptp.class_Lattices_Olattice @t1))) % 0.47/0.88 (define @t84 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t79 @t1) @t79)) % 0.47/0.88 (define @t85 () (tptp.c_Orderings_Obot__class_Obot @t23)) % 0.47/0.88 (define @t86 () (@list @t1 @t25 @t24)) % 0.47/0.88 (define @t87 () (@var "V_times" $$unsorted)) % 0.47/0.88 (define @t88 () (tptp.c_Finite__Set_Ofold1 @t87 @t25 @t1)) % 0.47/0.88 (define @t89 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t87 @t1))) % 0.47/0.88 (define @t90 () (tptp.c_Finite__Set_Ofinite @t25 @t1)) % 0.47/0.88 (define @t91 () (not @t90)) % 0.47/0.88 (define @t92 () (= @t25 @t85)) % 0.47/0.88 (define @t93 () (not (tptp.c_Finite__Set_Ofinite @t24 @t1))) % 0.47/0.88 (define @t94 () (= @t24 @t85)) % 0.47/0.88 (define @t95 () (not (= @t42 @t85))) % 0.47/0.88 (define @t96 () (@list @t1 @t25)) % 0.47/0.88 (define @t97 () (@var "V_P" $$unsorted)) % 0.47/0.88 (define @t98 () (tptp.c_Collect @t97 @t1)) % 0.47/0.88 (define @t99 () (tptp.hBOOL (tptp.c_in @t2 (tptp.hAPP @t41 @t98) @t1))) % 0.47/0.88 (define @t100 () (not @t99)) % 0.47/0.88 (define @t101 () (tptp.hBOOL (tptp.c_in @t2 @t25 @t1))) % 0.47/0.88 (define @t102 () (tptp.c_Set_Ovimage @t29 @t24 @t1 @t11)) % 0.47/0.88 (define @t103 () (tptp.c_Set_Ovimage @t29 @t25 @t1 @t11)) % 0.47/0.88 (define @t104 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t24 @t28)) % 0.47/0.88 (define @t105 () (@list @t29 @t25 @t24 @t11 @t1)) % 0.47/0.88 (define @t106 () (@var "V_xx" $$unsorted)) % 0.47/0.88 (define @t107 () (tptp.c_Option_Ooption_OSome @t106 @t1)) % 0.47/0.88 (define @t108 () (tptp.hBOOL (tptp.hAPP @t42 @t2))) % 0.47/0.88 (define @t109 () (not @t108)) % 0.47/0.88 (define @t110 () (tptp.hAPP @t24 @t2)) % 0.47/0.88 (define @t111 () (tptp.hBOOL @t110)) % 0.47/0.88 (define @t112 () (tptp.hAPP @t25 @t2)) % 0.47/0.88 (define @t113 () (tptp.hBOOL @t112)) % 0.47/0.88 (define @t114 () (@list @t25 @t2 @t1 @t24)) % 0.47/0.88 (define @t115 () (@var "V_g" $$unsorted)) % 0.47/0.88 (define @t116 () (tptp.c_Map_Omap__add @t115 @t29 @t1 @t11)) % 0.47/0.88 (define @t117 () (@list @t29 @t115 @t1 @t11)) % 0.47/0.88 (define @t118 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t43 @t23)) % 0.47/0.88 (define @t119 () (tptp.c_lessequals @t25 @t118 @t23)) % 0.47/0.88 (define @t120 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t24 @t23)) % 0.47/0.88 (define @t121 () (tptp.c_lessequals @t120 @t43 @t23)) % 0.47/0.88 (define @t122 () (@list @t25 @t24 @t43 @t1)) % 0.47/0.88 (define @t123 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28) @t25) @t24)) % 0.47/0.88 (define @t124 () (@list @t29 @t11 @t25 @t24 @t1)) % 0.47/0.88 (define @t125 () (@var "V_G" $$unsorted)) % 0.47/0.88 (define @t126 () (tptp.c_Finite__Set_Ofinite @t125 @t1)) % 0.47/0.88 (define @t127 () (not @t126)) % 0.47/0.88 (define @t128 () (@var "V_F" $$unsorted)) % 0.47/0.88 (define @t129 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t40 @t128) @t125) @t1)) % 0.47/0.88 (define @t130 () (@list @t1 @t128 @t125)) % 0.47/0.88 (define @t131 () (tptp.c_Finite__Set_Ofinite @t128 @t1)) % 0.47/0.88 (define @t132 () (not @t131)) % 0.47/0.88 (define @t133 () (@var "V_h" $$unsorted)) % 0.47/0.88 (define @t134 () (tptp.c_Map_Omap__le @t115 @t133 @t1 @t11)) % 0.47/0.88 (define @t135 () (tptp.c_Map_Omap__add @t29 @t115 @t1 @t11)) % 0.47/0.88 (define @t136 () (tptp.c_Map_Omap__le @t29 @t135 @t1 @t11)) % 0.47/0.88 (define @t137 () (not @t136)) % 0.47/0.88 (define @t138 () (tptp.c_Map_Omap__le @t135 @t133 @t1 @t11)) % 0.47/0.88 (define @t139 () (tptp.hAPP @t29 @t2)) % 0.47/0.88 (define @t140 () (@var "V_c" $$unsorted)) % 0.47/0.88 (define @t141 () (tptp.hBOOL (tptp.c_in @t140 @t25 @t1))) % 0.47/0.88 (define @t142 () (not @t141)) % 0.47/0.88 (define @t143 () (tptp.hBOOL (tptp.c_in @t140 @t24 @t1))) % 0.47/0.88 (define @t144 () (not @t143)) % 0.47/0.88 (define @t145 () (tptp.hBOOL (tptp.c_in @t140 @t42 @t1))) % 0.47/0.88 (define @t146 () (@var "V_t" $$unsorted)) % 0.47/0.88 (define @t147 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t25 @t23)) % 0.47/0.88 (define @t148 () (tptp.hAPP @t40 @t36)) % 0.47/0.88 (define @t149 () (tptp.hAPP @t40 @t43)) % 0.47/0.88 (define @t150 () (tptp.hAPP @t149 @t25)) % 0.47/0.88 (define @t151 () (tptp.hAPP @t40 @t24)) % 0.47/0.88 (define @t152 () (tptp.hAPP @t151 @t43)) % 0.47/0.88 (define @t153 () (@list @t1 @t25 @t24 @t43)) % 0.47/0.88 (define @t154 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t65 @t1)) % 0.47/0.88 (define @t155 () (tptp.hAPP @t50 @t2)) % 0.47/0.88 (define @t156 () (tptp.hAPP @t155 @t154)) % 0.47/0.88 (define @t157 () (tptp.hAPP @t155 @t65)) % 0.47/0.88 (define @t158 () (tptp.hAPP @t155 @t66)) % 0.47/0.88 (define @t159 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t157 @t1)) % 0.47/0.88 (define @t160 () (tptp.hAPP @t67 @t2)) % 0.47/0.88 (define @t161 () (= @t158 @t160)) % 0.47/0.88 (define @t162 () (tptp.hAPP @t151 @t25)) % 0.47/0.88 (define @t163 () (tptp.c_lessequals @t2 @t79 @t1)) % 0.47/0.88 (define @t164 () (tptp.c_lessequals @t66 @t79 @t1)) % 0.47/0.88 (define @t165 () (@list @t1 @t66 @t2)) % 0.47/0.88 (define @t166 () (not @t73)) % 0.47/0.88 (define @t167 () (tptp.c_lessequals @t66 @t65 @t1)) % 0.47/0.88 (define @t168 () (not @t167)) % 0.47/0.88 (define @t169 () (tptp.c_lessequals @t79 @t65 @t1)) % 0.47/0.88 (define @t170 () (tptp.c_lessequals @t66 @t2 @t1)) % 0.47/0.88 (define @t171 () (not @t170)) % 0.47/0.88 (define @t172 () (tptp.c_lessequals @t65 @t2 @t1)) % 0.47/0.88 (define @t173 () (@list @t1 @t66 @t65 @t2)) % 0.47/0.88 (define @t174 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t48 @t1)) % 0.47/0.88 (define @t175 () (tptp.c_lessequals @t174 @t2 @t1)) % 0.47/0.88 (define @t176 () (tptp.c_lessequals @t25 @t43 @t23)) % 0.47/0.88 (define @t177 () (not @t176)) % 0.47/0.88 (define @t178 () (tptp.c_lessequals @t24 @t43 @t23)) % 0.47/0.88 (define @t179 () (not @t178)) % 0.47/0.88 (define @t180 () (tptp.c_lessequals @t36 @t43 @t23)) % 0.47/0.88 (define @t181 () (= @t158 @t2)) % 0.47/0.88 (define @t182 () (not @t71)) % 0.47/0.88 (define @t183 () (not (tptp.c_lessequals @t24 @t25 @t23))) % 0.47/0.88 (define @t184 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t154 @t1)) % 0.47/0.88 (define @t185 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t79 @t65 @t1) @t184)) % 0.47/0.88 (define @t186 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t65 @t1)) % 0.47/0.88 (define @t187 () (= @t184 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t186 @t1))) % 0.47/0.88 (define @t188 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t118 @t23)) % 0.47/0.88 (define @t189 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t43 @t23)) % 0.47/0.88 (define @t190 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t24 @t28)) % 0.47/0.88 (define @t191 () (tptp.c_Set_Oimage @t29 @t24 @t11 @t1)) % 0.47/0.88 (define @t192 () (tptp.c_Set_Oimage @t29 @t25 @t11 @t1)) % 0.47/0.88 (define @t193 () (@var "V_N" $$unsorted)) % 0.47/0.88 (define @t194 () (@var "V_M" $$unsorted)) % 0.47/0.88 (define @t195 () (not (tptp.c_lessequals @t194 @t193 @t23))) % 0.47/0.88 (define @t196 () (= @t194 @t85)) % 0.47/0.88 (define @t197 () (not (tptp.c_Finite__Set_Ofinite @t193 @t1))) % 0.47/0.88 (define @t198 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.47/0.88 (define @t199 () (@var "V_y_H" $$unsorted)) % 0.47/0.88 (define @t200 () (@var "V_x_H" $$unsorted)) % 0.47/0.88 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t200 @t199 @t1)) % 0.47/0.88 (define @t202 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.47/0.88 (define @t203 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.47/0.88 (define @t204 () (@var "V_xa" $$unsorted)) % 0.47/0.88 (define @t205 () (@var "V_a_H" $$unsorted)) % 0.47/0.88 (define @t206 () (tptp.c_Option_Ooption_OSome @t205 @t1)) % 0.47/0.88 (define @t207 () (tptp.c_Option_Ooption_OSome @t66 @t1)) % 0.47/0.88 (define @t208 () (tptp.c_Orderings_Obot__class_Obot @t28)) % 0.47/0.88 (define @t209 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t208 @t24 @t11 @t23)) % 0.47/0.88 (define @t210 () (@list @t25 @t11 @t24 @t1)) % 0.47/0.88 (define @t211 () (@list @t1 @t2)) % 0.47/0.88 (define @t212 () (@list @t25 @t1)) % 0.47/0.88 (define @t213 () (tptp.hBOOL (tptp.hAPP @t97 @t2))) % 0.47/0.88 (define @t214 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.47/0.88 (define @t215 () (tptp.hAPP @t41 @t43)) % 0.47/0.88 (define @t216 () (tptp.hAPP @t41 @t118)) % 0.47/0.88 (define @t217 () (@list @t1 @t24 @t43 @t25)) % 0.47/0.88 (define @t218 () (tptp.hAPP @t115 tptp.v_x)) % 0.47/0.88 (define @t219 () (tptp.hAPP @t29 tptp.v_x)) % 0.47/0.88 (define @t220 () (not (tptp.class_Lattices_Olattice @t11))) % 0.47/0.88 (define @t221 () (@list @t11 @t29 @t115)) % 0.47/0.88 (define @t222 () (not (tptp.hBOOL (tptp.c_in @t2 @t25 @t11)))) % 0.47/0.88 (define @t223 () (tptp.c_Set_Oimage @t29 @t25 @t1 @t11)) % 0.47/0.88 (define @t224 () (@var "V_i" $$unsorted)) % 0.47/0.88 (define @t225 () (tptp.hBOOL (tptp.c_in @t49 @t25 @t1))) % 0.47/0.88 (define @t226 () (not @t225)) % 0.47/0.88 (define @t227 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t24 @t1 @t28)) % 0.47/0.88 (define @t228 () (tptp.hAPP @t24 @t49)) % 0.47/0.88 (define @t229 () (@var "V_fun_H" $$unsorted)) % 0.47/0.88 (define @t230 () (@var "V_fun" $$unsorted)) % 0.47/0.88 (define @t231 () (@var "V_pname_H" $$unsorted)) % 0.47/0.88 (define @t232 () (@var "V_vname_H" $$unsorted)) % 0.47/0.88 (define @t233 () (tptp.c_Com_Ocom_OCall @t232 @t231 @t229)) % 0.47/0.88 (define @t234 () (@var "V_pname" $$unsorted)) % 0.47/0.88 (define @t235 () (@var "V_vname" $$unsorted)) % 0.47/0.88 (define @t236 () (not (= (tptp.c_Com_Ocom_OCall @t235 @t234 @t230) @t233))) % 0.47/0.88 (define @t237 () (@list @t235 @t234 @t230 @t232 @t231 @t229)) % 0.47/0.88 (define @t238 () (= @t234 @t231)) % 0.47/0.88 (define @t239 () (not (tptp.c_Map_Omap__le @t29 @t115 @t1 @t11))) % 0.47/0.88 (define @t240 () (tptp.c_Finite__Set_Ofold1 @t50 @t25 @t1)) % 0.47/0.88 (define @t241 () (tptp.c_Finite__Set_Ofinite @t120 @t1)) % 0.47/0.88 (define @t242 () (tptp.c_Complete__Lattice_OInf__class_OInf @t25 @t1)) % 0.47/0.88 (define @t243 () (tptp.c_Set_Oinsert @t49 @t25 @t1)) % 0.47/0.88 (define @t244 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.47/0.88 (define @t245 () (@list @t1 @t49 @t25)) % 0.47/0.88 (define @t246 () (@list @t29 @t25 @t11 @t1)) % 0.47/0.88 (define @t247 () (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t1)) % 0.47/0.88 (define @t248 () (not @t241)) % 0.47/0.88 (define @t249 () (@list @t25 @t1 @t24)) % 0.47/0.88 (define @t250 () (not @t101)) % 0.47/0.88 (define @t251 () (@var "V_m2" $$unsorted)) % 0.47/0.88 (define @t252 () (@var "V_m1" $$unsorted)) % 0.47/0.88 (define @t253 () (@var "V_m3" $$unsorted)) % 0.47/0.88 (define @t254 () (tptp.c_Map_Odom @t8 @t1 @t11)) % 0.47/0.88 (define @t255 () (@var "V_I" $$unsorted)) % 0.47/0.88 (define @t256 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t255 @t25 @t1 @t28)) % 0.47/0.88 (define @t257 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t128 @t125 @t23) @t1)) % 0.47/0.88 (define @t258 () (tptp.c_lessequals @t140 @t49 @t1)) % 0.47/0.88 (define @t259 () (@var "V_d" $$unsorted)) % 0.47/0.88 (define @t260 () (tptp.c_lessequals @t48 @t259 @t1)) % 0.47/0.88 (define @t261 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t49 @t48 @t1)) % 0.47/0.88 (define @t262 () (tptp.c_lessequals @t261 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t140 @t259 @t1) @t23)) % 0.47/0.88 (define @t263 () (not (tptp.class_Orderings_Oorder @t1))) % 0.47/0.88 (define @t264 () (@list @t1 @t49 @t48 @t140 @t259)) % 0.47/0.88 (define @t265 () (not @t262)) % 0.47/0.88 (define @t266 () (tptp.c_lessequals @t49 @t48 @t1)) % 0.47/0.88 (define @t267 () (not @t266)) % 0.47/0.88 (define @t268 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t43 @t23) @t216)) % 0.47/0.88 (define @t269 () (not @t47)) % 0.47/0.88 (define @t270 () (tptp.c_Map_Omap__add @t252 @t251 @t1 @t11)) % 0.47/0.88 (define @t271 () (tptp.hAPP @t87 @t48)) % 0.47/0.88 (define @t272 () (tptp.hAPP @t87 @t49)) % 0.47/0.88 (define @t273 () (tptp.hAPP @t272 (tptp.hAPP @t271 @t140))) % 0.47/0.88 (define @t274 () (tptp.hAPP @t272 @t48)) % 0.47/0.88 (define @t275 () (@list @t87 @t49 @t48 @t140 @t1)) % 0.47/0.88 (define @t276 () (tptp.hBOOL (tptp.hAPP @t36 @t2))) % 0.47/0.88 (define @t277 () (not @t111)) % 0.47/0.88 (define @t278 () (@list @t25 @t24 @t1 @t2)) % 0.47/0.88 (define @t279 () (not @t113)) % 0.47/0.88 (define @t280 () (tptp.hAPP @t155 @t68)) % 0.47/0.88 (define @t281 () (= (tptp.hAPP (tptp.hAPP @t50 @t158) @t65) @t280)) % 0.47/0.88 (define @t282 () (= @t280 (tptp.hAPP @t67 @t157))) % 0.47/0.88 (define @t283 () (tptp.hAPP @t41 @t152)) % 0.47/0.88 (define @t284 () (not @t257)) % 0.47/0.88 (define @t285 () (tptp.hBOOL (tptp.c_in @t2 @t24 @t1))) % 0.47/0.88 (define @t286 () (@list @t2 @t24 @t1 @t25)) % 0.47/0.88 (define @t287 () (@list @t140 @t24 @t1 @t25)) % 0.47/0.88 (define @t288 () (tptp.hBOOL (tptp.c_in @t140 @t36 @t1))) % 0.47/0.88 (define @t289 () (@list @t140 @t25 @t24 @t1)) % 0.47/0.88 (define @t290 () (tptp.hBOOL (tptp.c_in @t140 @t120 @t1))) % 0.47/0.88 (define @t291 () (not @t290)) % 0.47/0.88 (define @t292 () (@list @t140 @t25 @t1 @t24)) % 0.47/0.88 (define @t293 () (not @t145)) % 0.47/0.88 (define @t294 () (tptp.hBOOL (tptp.hAPP @t97 @t49))) % 0.47/0.88 (define @t295 () (tptp.hBOOL (tptp.c_in @t49 @t98 @t1))) % 0.47/0.88 (define @t296 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t24 @t11 @t23)) % 0.47/0.88 (define @t297 () (tptp.hAPP @t29 @t49)) % 0.47/0.88 (define @t298 () (tptp.hBOOL (tptp.c_in @t297 @t24 @t11))) % 0.47/0.88 (define @t299 () (tptp.hBOOL (tptp.c_in @t49 @t102 @t1))) % 0.47/0.88 (define @t300 () (@list @t29 @t49 @t24 @t11 @t1)) % 0.47/0.88 (define @t301 () (@var "V_top" $$unsorted)) % 0.47/0.88 (define @t302 () (@var "V_bot" $$unsorted)) % 0.47/0.88 (define @t303 () (@var "V_sup" $$unsorted)) % 0.47/0.88 (define @t304 () (@var "V_inf" $$unsorted)) % 0.47/0.88 (define @t305 () (@var "V_less" $$unsorted)) % 0.47/0.88 (define @t306 () (@var "V_less__eq" $$unsorted)) % 0.47/0.88 (define @t307 () (@var "V_Sup" $$unsorted)) % 0.47/0.88 (define @t308 () (@var "V_Inf" $$unsorted)) % 0.47/0.88 (define @t309 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t308 @t307 @t306 @t305 @t304 @t303 @t302 @t301 @t1))) % 0.47/0.88 (define @t310 () (tptp.hAPP @t308 @t25)) % 0.47/0.88 (define @t311 () (tptp.hAPP @t307 @t25)) % 0.47/0.88 (define @t312 () (tptp.hBOOL (tptp.hAPP @t227 @t48))) % 0.47/0.88 (define @t313 () (@var "T_aa" $$unsorted)) % 0.47/0.88 (define @t314 () (tptp.hBOOL (tptp.c_in @t139 @t192 @t1))) % 0.47/0.88 (define @t315 () (@list @t2 @t25 @t11 @t29 @t1)) % 0.47/0.88 (define @t316 () (@list @t29 @t2 @t25 @t1 @t11)) % 0.47/0.88 (define @t317 () (tptp.c_Finite__Set_Olinorder__class_OMin @t25 @t1)) % 0.47/0.88 (define @t318 () (tptp.c_Finite__Set_Olinorder__class_OMax @t25 @t1)) % 0.47/0.88 (define @t319 () (tptp.hBOOL (tptp.c_in @t48 @t25 @t1))) % 0.47/0.88 (define @t320 () (tptp.c_Set_Oinsert @t48 @t25 @t1)) % 0.47/0.88 (define @t321 () (tptp.c_Set_Oinsert @t2 @t25 @t1)) % 0.47/0.88 (define @t322 () (tptp.c_Set_Oinsert @t49 @t85 @t1)) % 0.47/0.88 (define @t323 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t322 @t23)) % 0.47/0.88 (define @t324 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.47/0.88 (define @t325 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.47/0.88 (define @t326 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t24 @t1) @t324))) % 0.47/0.88 (define @t327 () (@list @t29 @t11 @t1)) % 0.47/0.88 (define @t328 () (@list @t1)) % 0.47/0.88 (define @t329 () (= @t25 @t208)) % 0.47/0.88 (define @t330 () (not @t213)) % 0.47/0.88 (define @t331 () (@list @t1 @t24)) % 0.47/0.88 (define @t332 () (tptp.c_Set_Oimage @t29 @t208 @t11 @t1)) % 0.47/0.88 (define @t333 () (not (= @t36 @t85))) % 0.47/0.88 (define @t334 () (tptp.c_Set_Oinsert @t49 @t24 @t11)) % 0.47/0.88 (define @t335 () (tptp.c_Set_Oinsert @t48 @t85 @t1)) % 0.47/0.88 (define @t336 () (tptp.c_Set_Oinsert @t49 @t335 @t1)) % 0.47/0.88 (define @t337 () (@list @t1 @t49 @t48)) % 0.47/0.88 (define @t338 () (tptp.c_Set_Oinsert @t2 @t85 @t1)) % 0.47/0.88 (define @t339 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t338 @t23)) % 0.47/0.88 (define @t340 () (tptp.c_lessequals @t339 @t24 @t23)) % 0.47/0.88 (define @t341 () (not @t340)) % 0.47/0.88 (define @t342 () (tptp.c_Set_Oinsert @t2 @t24 @t1)) % 0.47/0.88 (define @t343 () (tptp.c_lessequals @t25 @t342 @t23)) % 0.47/0.88 (define @t344 () (@list @t25 @t2 @t24 @t1)) % 0.47/0.88 (define @t345 () (@var "V_D" $$unsorted)) % 0.47/0.88 (define @t346 () (tptp.hAPP @t304 @t49)) % 0.47/0.88 (define @t347 () (tptp.hAPP @t303 @t49)) % 0.47/0.88 (define @t348 () (tptp.c_Finite__Set_Ofinite @t243 @t1)) % 0.47/0.88 (define @t349 () (@list @t49 @t25 @t1)) % 0.47/0.88 (define @t350 () (tptp.c_Set_Oinsert @t49 @t24 @t1)) % 0.47/0.88 (define @t351 () (tptp.c_Set_Oinsert @t49 @t42 @t1)) % 0.47/0.88 (define @t352 () (@list @t25 @t49 @t24 @t1)) % 0.47/0.88 (define @t353 () (tptp.c_Set_Oinsert @t48 @t24 @t1)) % 0.47/0.88 (define @t354 () (tptp.c_lessequals @t321 @t24 @t23)) % 0.47/0.88 (define @t355 () (not @t354)) % 0.47/0.88 (define @t356 () (tptp.c_Map_Odom @t29 @t11 @t1)) % 0.47/0.88 (define @t357 () (tptp.c_Com_Ocom_OBODY @t234)) % 0.47/0.88 (define @t358 () (@var "V_ts" $$unsorted)) % 0.47/0.88 (define @t359 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 @t358 @t1)) % 0.47/0.88 (define @t360 () (not @t359)) % 0.47/0.88 (define @t361 () (tptp.hAPP @t139 @t66)) % 0.47/0.88 (define @t362 () (not @t343)) % 0.47/0.88 (define @t363 () (not @t285)) % 0.47/0.88 (define @t364 () (= @t110 @t85)) % 0.47/0.88 (define @t365 () (@list @t2 @t25 @t1 @t24)) % 0.47/0.88 (define @t366 () (tptp.hAPP @t41 @t350)) % 0.47/0.88 (define @t367 () (@list @t1 @t25 @t49 @t24)) % 0.47/0.88 (define @t368 () (tptp.hBOOL (tptp.c_in @t49 @t43 @t1))) % 0.47/0.88 (define @t369 () (tptp.hAPP (tptp.hAPP @t40 @t350) @t43)) % 0.47/0.88 (define @t370 () (@list @t1 @t49 @t24 @t43)) % 0.47/0.88 (define @t371 () (tptp.c_HOL_Ominus__class_Ominus @t321 @t24 @t23)) % 0.47/0.88 (define @t372 () (= @t135 @t116)) % 0.47/0.88 (define @t373 () (tptp.c_HOL_Ominus__class_Ominus @t215 @t152 @t23)) % 0.47/0.88 (define @t374 () (tptp.hAPP @t40 @t120)) % 0.47/0.88 (define @t375 () (@list @t25 @t24 @t1 @t43 @t345)) % 0.47/0.88 (define @t376 () (tptp.hAPP (tptp.hAPP @t50 @t79) @t186)) % 0.47/0.88 (define @t377 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t68 @t1)) % 0.47/0.88 (define @t378 () (= @t25 @t24)) % 0.47/0.88 (define @t379 () (= @t2 @t66)) % 0.47/0.88 (define @t380 () (= @t79 @t66)) % 0.47/0.88 (define @t381 () (= @t36 @t24)) % 0.47/0.88 (define @t382 () (@var "V_fun1_H" $$unsorted)) % 0.47/0.88 (define @t383 () (@var "V_fun1" $$unsorted)) % 0.47/0.88 (define @t384 () (@var "V_fun2_H" $$unsorted)) % 0.47/0.88 (define @t385 () (@var "V_com_H" $$unsorted)) % 0.47/0.88 (define @t386 () (@var "V_fun2" $$unsorted)) % 0.47/0.88 (define @t387 () (@var "V_com" $$unsorted)) % 0.47/0.88 (define @t388 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t383 @t387 @t386 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t382 @t385 @t384 @t1)))) % 0.47/0.88 (define @t389 () (@list @t383 @t387 @t386 @t1 @t382 @t385 @t384)) % 0.47/0.88 (define @t390 () (@list @t1 @t25 @t2)) % 0.47/0.88 (define @t391 () (= @t85 @t261)) % 0.47/0.88 (define @t392 () (not (tptp.c_lessequals @t24 @t345 @t23))) % 0.47/0.88 (define @t393 () (tptp.c_lessequals @t158 @t2 @t1)) % 0.47/0.88 (define @t394 () (tptp.c_lessequals @t158 @t66 @t1)) % 0.47/0.88 (define @t395 () (not @t55)) % 0.47/0.88 (define @t396 () (not @t58)) % 0.47/0.88 (define @t397 () (@list @t25 @t1 @t24 @t43)) % 0.47/0.88 (define @t398 () (= (tptp.hAPP @t155 @t158) @t158)) % 0.47/0.88 (define @t399 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t350 @t23)) % 0.47/0.88 (define @t400 () (tptp.c_Finite__Set_Ofinite @t399 @t1)) % 0.47/0.88 (define @t401 () (not @t169)) % 0.47/0.88 (define @t402 () (tptp.c_lessequals @t2 @t174 @t1)) % 0.47/0.88 (define @t403 () (not @t175)) % 0.47/0.88 (define @t404 () (not @t180)) % 0.47/0.88 (define @t405 () (@list @t25 @t43 @t1 @t24)) % 0.47/0.88 (define @t406 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.47/0.88 (define @t407 () (@list @t2 @t1)) % 0.47/0.88 (define @t408 () (@var "V_Q" $$unsorted)) % 0.47/0.88 (define @t409 () (not (tptp.c_lessequals @t97 @t408 @t23))) % 0.47/0.88 (define @t410 () (tptp.hBOOL (tptp.hAPP @t408 @t2))) % 0.47/0.88 (define @t411 () (@list @t408 @t2 @t97 @t1)) % 0.47/0.88 (define @t412 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.47/0.88 (define @t413 () (= @t261 @t85)) % 0.47/0.88 (define @t414 () (tptp.hBOOL (tptp.hAPP @t103 @t2))) % 0.47/0.88 (define @t415 () (tptp.hBOOL (tptp.hAPP @t25 @t139))) % 0.47/0.88 (define @t416 () (tptp.c_fequal @t2 @t1)) % 0.47/0.88 (define @t417 () (tptp.c_lessequals @t199 @t200 @t1)) % 0.47/0.88 (define @t418 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t66 @t1) @t201))) % 0.47/0.88 (define @t419 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.47/0.88 (define @t420 () (@list @t1 @t2 @t66 @t200 @t199)) % 0.47/0.88 (define @t421 () (@list @t1 @t2 @t25)) % 0.47/0.88 (define @t422 () (@list @t49 @t1)) % 0.47/0.88 (define @t423 () (@list @t1 @t49)) % 0.47/0.88 (define @t424 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t338 @t1)) % 0.47/0.88 (define @t425 () (= @t49 @t48)) % 0.47/0.88 (define @t426 () (tptp.c_Set_Oinsert @t49 @t323 @t1)) % 0.47/0.88 (define @t427 () (@var "V_l2" $$unsorted)) % 0.47/0.88 (define @t428 () (tptp.hBOOL (tptp.c_in @t8 (tptp.c_Map_Odom @t427 @t1 @t11) @t1))) % 0.47/0.88 (define @t429 () (@var "V_l1" $$unsorted)) % 0.47/0.88 (define @t430 () (tptp.hAPP (tptp.c_Map_Omap__add @t429 @t427 @t1 @t11) @t8)) % 0.47/0.88 (define @t431 () (@list @t429 @t427 @t1 @t11 @t8)) % 0.47/0.88 (define @t432 () (= @t430 (tptp.hAPP @t427 @t8))) % 0.47/0.88 (define @t433 () (tptp.hAPP @t8 @t49)) % 0.47/0.88 (define @t434 () (= @t433 (tptp.c_Option_Ooption_ONone @t11))) % 0.47/0.88 (define @t435 () (tptp.hBOOL (tptp.c_in @t49 @t254 @t1))) % 0.47/0.88 (define @t436 () (forall (@list @t8 @t49 @t11 @t1) (or (not @t434) (not @t435)))) % 0.47/0.88 (define @t437 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 0.47/0.88 (define @t438 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 0.47/0.88 (define @t439 () (@var "V_pn" $$unsorted)) % 0.47/0.88 (define @t440 () (tptp.c_Com_Ocom_OBODY @t439)) % 0.47/0.88 (define @t441 () (tptp.c_Com_OWT @t440)) % 0.47/0.88 (define @t442 () (@var "V_X" $$unsorted)) % 0.47/0.88 (define @t443 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.47/0.88 (define @t444 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t443 tptp.tc_bool))) % 0.47/0.88 (define @t445 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT @t140) @t444 @t443)) % 0.47/0.88 (define @t446 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t444 @t445 tptp.tc_Com_Ostate)) % 0.47/0.88 (define @t447 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t97 @t140 @t408 tptp.tc_Com_Ostate) @t444 @t443)) % 0.47/0.88 (define @t448 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.47/0.88 (define @t449 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t448 tptp.tc_bool))) % 0.47/0.88 (define @t450 () (tptp.hAPP tptp.c_Com_Obody @t439)) % 0.47/0.88 (define @t451 () (tptp.c_Option_Othe @t450 tptp.tc_Com_Ocom)) % 0.47/0.88 (define @t452 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t97 @t451 @t408 @t1) @t449 @t448)) % 0.47/0.88 (define @t453 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t97 @t440 @t408 @t1)) % 0.47/0.88 (define @t454 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 (tptp.c_Set_Oinsert @t453 @t449 @t448) @t1)) % 0.47/0.88 (define @t455 () (@list @t125 @t97 @t439 @t408 @t1)) % 0.47/0.88 (define @t456 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.47/0.88 (define @t457 () (@list @t2 @t25 @t1)) % 0.47/0.88 (define @t458 () (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)) % 0.47/0.88 (define @t459 () (forall (@list @t439) (or @t441 (= @t450 @t458)))) % 0.47/0.88 (define @t460 () (not tptp.c_Com_OWT__bodies)) % 0.47/0.88 (define @t461 () (tptp.c_Hoare__Mirabelle_OMGT @t440)) % 0.47/0.88 (define @t462 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.47/0.88 (define @t463 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t125)) % 0.47/0.88 (define @t464 () (not (tptp.c_Com_OWT @t140))) % 0.47/0.88 (define @t465 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 @t445 tptp.tc_Com_Ostate)) % 0.47/0.88 (define @t466 () (@list @t125 @t140)) % 0.47/0.88 (define @t467 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 (tptp.c_Set_Oinsert @t146 @t449 @t448) @t1)) % 0.47/0.88 (define @t468 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 (tptp.c_Set_Oinsert @t146 @t358 @t448) @t1)) % 0.47/0.88 (define @t469 () (not @t468)) % 0.47/0.88 (define @t470 () (tptp.hBOOL (tptp.c_in @t49 @t320 @t1))) % 0.47/0.88 (define @t471 () (@var "V_G_H" $$unsorted)) % 0.47/0.88 (define @t472 () (not (tptp.hBOOL (tptp.c_in @t2 @t85 @t1)))) % 0.47/0.88 (define @t473 () (@list @t97 @t2 @t1)) % 0.47/0.88 (define @t474 () (or @t446 @t464 @t460 @t462)) % 0.47/0.88 (define @t475 () (@list @t140)) % 0.47/0.88 (define @t476 () (forall @t475 @t474)) % 0.47/0.88 (define @t477 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.47/0.88 (define @t478 () (= @t48 @t259)) % 0.47/0.88 (define @t479 () (= @t48 @t140)) % 0.47/0.88 (define @t480 () (not (= @t336 (tptp.c_Set_Oinsert @t140 (tptp.c_Set_Oinsert @t259 @t85 @t1) @t1)))) % 0.47/0.88 (define @t481 () (@list @t49 @t48 @t1 @t140 @t259)) % 0.47/0.88 (define @t482 () (= @t49 @t259)) % 0.47/0.88 (define @t483 () (= @t49 @t140)) % 0.47/0.88 (define @t484 () (tptp.c_Set_Oinsert @t66 @t25 @t1)) % 0.47/0.88 (define @t485 () (tptp.hBOOL (tptp.hAPP @t484 @t2))) % 0.47/0.88 (define @t486 () (@var "V_S" $$unsorted)) % 0.47/0.88 (define @t487 () (tptp.hBOOL (tptp.hAPP @t486 @t2))) % 0.47/0.88 (define @t488 () (tptp.hBOOL (tptp.c_in @t2 @t486 @t1))) % 0.47/0.88 (define @t489 () (tptp.hBOOL (tptp.c_in tptp.v_x @t456 tptp.tc_Com_Opname))) % 0.47/0.88 (define @t490 () (tptp.c_Com_Ocom_OBODY tptp.v_x)) % 0.47/0.88 (define @t491 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t444 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT @t490) @t444 @t443) tptp.tc_Com_Ostate)) % 0.47/0.88 (define @t492 () (@var "T_1" $$unsorted)) % 0.47/0.88 (define @t493 () (@var "T_2" $$unsorted)) % 0.47/0.88 (define @t494 () (tptp.tc_fun @t493 @t492)) % 0.47/0.88 (define @t495 () (@list @t493 @t492)) % 0.47/0.88 (define @t496 () (not (tptp.class_Lattices_Olattice @t492))) % 0.47/0.88 (define @t497 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t492))) % 0.47/0.88 (define @t498 () (@var "V_Y" $$unsorted)) % 0.47/0.88 (define @t499 () (tptp.hAPP tptp.c_Com_Obody tptp.v_x)) % 0.47/0.88 (define @t500 () (tptp.c_Com_OWT @t490)) % 0.47/0.88 (define @t501 () (= @t499 @t458)) % 0.47/0.88 (define @t502 () (or @t500 @t501)) % 0.47/0.88 (define @t503 () (= @t458 @t499)) % 0.47/0.88 (define @t504 () (or @t500 @t503)) % 0.47/0.88 (define @t505 () (@list false)) % 0.47/0.88 (define @t506 () (not @t489)) % 0.47/0.88 (define @t507 () (not @t501)) % 0.47/0.88 (define @t508 () (or @t507 @t506)) % 0.47/0.88 (define @t509 () (not @t503)) % 0.47/0.88 (define @t510 () (or @t509 @t506)) % 0.47/0.88 (define @t511 () (@list false false)) % 0.47/0.88 (define @t512 () (or @t446 @t464)) % 0.47/0.88 (define @t513 () (forall @t475 @t512)) % 0.47/0.88 (define @t514 () (or @t460 @t462 @t512)) % 0.47/0.88 (define @t515 () (not @t500)) % 0.47/0.88 (define @t516 () (or @t491 @t515)) % 0.47/0.88 (assume @p1 (forall @t15 (or @t14 @t10 @t7))) % 0.47/0.88 (assume @p2 (forall (@list @t8 @t4 @t2 @t1 @t5 @t11) (or (not @t10) @t18 @t13))) % 0.47/0.88 (assume @p3 (forall @t22 (or @t21 @t19))) % 0.47/0.88 (assume @p4 (forall @t22 (or @t21 @t17))) % 0.47/0.88 (assume @p5 (forall @t32 (or (tptp.c_lessequals @t31 @t30 @t28) @t27))) % 0.47/0.88 (assume @p6 (forall @t35 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t25 @t23) @t33))) % 0.47/0.88 (assume @p7 (forall @t38 (= @t37 @t36))) % 0.47/0.88 (assume @p8 (forall (@list @t11 @t25 @t24) (or (not (tptp.class_HOL_Ominus @t11)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t25 @t24 @t39) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t25 tptp.v_x) (tptp.hAPP @t24 tptp.v_x) @t11))))) % 0.47/0.88 (assume @p9 (forall (@list @t43 @t24 @t1 @t25) (or @t46 @t45))) % 0.47/0.88 (assume @p10 (forall (@list @t43 @t25 @t1 @t24) (or @t47 @t45))) % 0.47/0.88 (assume @p11 (forall @t57 (or @t56 @t55 @t54))) % 0.47/0.88 (assume @p12 (forall (@list @t1 @t2 @t48 @t49) (or @t56 @t58 @t54))) % 0.47/0.88 (assume @p13 (forall @t62 (or @t56 @t61 @t60))) % 0.47/0.88 (assume @p14 (forall @t62 (or @t56 @t61 @t64))) % 0.47/0.88 (assume @p15 (forall @t72 (or @t56 @t71 @t70))) % 0.47/0.88 (assume @p16 (forall @t74 (or @t56 @t73 @t70))) % 0.47/0.88 (assume @p17 (forall @t77 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t43 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t75 @t23)))) % 0.47/0.88 (assume @p18 (forall @t38 (= @t36 @t33))) % 0.47/0.88 (assume @p19 (forall @t82 (or @t81 @t80))) % 0.47/0.88 (assume @p20 (forall @t82 (or @t83 @t80))) % 0.47/0.88 (assume @p21 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t36 @t23) @t36))) % 0.47/0.88 (assume @p22 (forall @t82 (or @t81 @t84))) % 0.47/0.88 (assume @p23 (forall @t82 (or @t83 @t84))) % 0.47/0.88 (assume @p24 (forall @t86 (= (tptp.hAPP @t41 @t34) @t85))) % 0.47/0.88 (assume @p25 (forall (@list @t1 @t25 @t24 @t87) (or @t95 @t94 @t93 @t92 @t91 @t89 (= (tptp.c_Finite__Set_Ofold1 @t87 @t36 @t1) (tptp.hAPP (tptp.hAPP @t87 @t88) (tptp.c_Finite__Set_Ofold1 @t87 @t24 @t1)))))) % 0.47/0.88 (assume @p26 (forall @t96 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t90))) % 0.47/0.88 (assume @p27 (forall (@list @t2 @t25 @t1 @t97) (or @t101 @t100))) % 0.47/0.88 (assume @p28 (forall @t105 (= (tptp.c_Set_Ovimage @t29 @t104 @t1 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t103 @t102 @t23)))) % 0.47/0.88 (assume @p29 (forall (@list @t8 @t4 @t1 @t5 @t11) (or (not @t19) @t18 @t20))) % 0.47/0.88 (assume @p30 (forall (@list @t5 @t4 @t106 @t1 @t8 @t11) (or (not (= @t6 @t107)) (= @t12 @t107)))) % 0.47/0.88 (assume @p31 (forall (@list @t5 @t4 @t2 @t1 @t8 @t11) (or (not @t7) @t13))) % 0.47/0.88 (assume @p32 (forall (@list @t24 @t2 @t1 @t25) (or @t111 @t109))) % 0.47/0.88 (assume @p33 (forall @t114 (or @t113 @t109))) % 0.47/0.88 (assume @p34 (forall @t117 (tptp.c_Map_Omap__le @t29 @t116 @t1 @t11))) % 0.47/0.88 (assume @p35 (forall @t77 (or @t121 (not @t119)))) % 0.47/0.88 (assume @p36 (forall @t122 (or @t119 (not @t121)))) % 0.47/0.88 (assume @p37 (forall @t124 (= (tptp.c_Set_Ovimage @t29 @t123 @t1 @t11) (tptp.hAPP (tptp.hAPP @t40 @t103) @t102)))) % 0.47/0.88 (assume @p38 (forall @t130 (or @t129 @t127))) % 0.47/0.88 (assume @p39 (forall @t130 (or @t129 @t132))) % 0.47/0.88 (assume @p40 (forall (@list @t29 @t115 @t1 @t11 @t133) (or @t138 @t137 (not @t134) (not (tptp.c_Map_Omap__le @t29 @t133 @t1 @t11))))) % 0.47/0.88 (assume @p41 (forall (@list @t11 @t29 @t2 @t115 @t1) (or (not (tptp.class_HOL_Oord @t11)) (tptp.c_lessequals @t139 (tptp.hAPP @t115 @t2) @t11) (not (tptp.c_lessequals @t29 @t115 (tptp.tc_fun @t1 @t11)))))) % 0.47/0.88 (assume @p42 (forall (@list @t140 @t1 @t25 @t24) (or @t145 @t144 @t142))) % 0.47/0.88 (assume @p43 (forall (@list @t146 @t24 @t1 @t25) (or (tptp.hBOOL (tptp.c_in @t146 @t24 @t1)) (not (tptp.hBOOL (tptp.c_in @t146 @t25 @t1))) @t27))) % 0.47/0.88 (assume @p44 (forall @t153 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t152 @t23) @t150 @t23) (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t148 @t118)) @t147)))) % 0.47/0.88 (assume @p45 (forall @t38 (tptp.c_lessequals @t120 @t25 @t23))) % 0.47/0.88 (assume @p46 (forall @t72 (or @t83 (tptp.c_lessequals @t159 @t156 @t1)))) % 0.47/0.88 (assume @p47 (forall @t38 (or (= @t37 @t24) @t27))) % 0.47/0.88 (assume @p48 (forall @t82 (or @t83 @t161))) % 0.47/0.88 (assume @p49 (forall @t82 (or @t56 @t161))) % 0.47/0.88 (assume @p50 (forall @t86 (= @t42 @t162))) % 0.47/0.88 (assume @p51 (forall @t82 (or @t83 @t163))) % 0.47/0.88 (assume @p52 (forall @t165 (or @t83 @t164))) % 0.47/0.88 (assume @p53 (forall @t72 (or @t81 @t169 @t168 @t166))) % 0.47/0.88 (assume @p54 (forall @t173 (or @t81 (tptp.c_lessequals @t154 @t2 @t1) (not @t172) @t171))) % 0.47/0.88 (assume @p55 (forall @t165 (or @t81 @t164))) % 0.47/0.88 (assume @p56 (forall @t82 (or @t81 @t163))) % 0.47/0.88 (assume @p57 (forall @t62 (or @t81 @t175 @t64 @t60))) % 0.47/0.88 (assume @p58 (forall @t77 (or @t180 @t179 @t177))) % 0.47/0.88 (assume @p59 (forall @t38 (tptp.c_lessequals @t25 @t36 @t23))) % 0.47/0.88 (assume @p60 (forall @t35 (tptp.c_lessequals @t24 @t36 @t23))) % 0.47/0.88 (assume @p61 (forall @t82 (or @t56 (= @t158 @t66) @t171))) % 0.47/0.88 (assume @p62 (forall @t82 (or @t56 (not @t181) @t71))) % 0.47/0.88 (assume @p63 (forall @t82 (or @t56 @t181 @t182))) % 0.47/0.88 (assume @p64 (forall @t86 (or (= @t42 @t24) @t183))) % 0.47/0.88 (assume @p65 (forall @t86 (or (= @t42 @t25) @t27))) % 0.47/0.88 (assume @p66 (forall @t72 (or @t83 @t185))) % 0.47/0.88 (assume @p67 (forall @t72 (or @t83 @t187))) % 0.47/0.88 (assume @p68 (forall @t72 (or @t81 @t187))) % 0.47/0.88 (assume @p69 (forall @t72 (or @t81 @t185))) % 0.47/0.88 (assume @p70 (forall @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t43 @t23) @t188))) % 0.47/0.88 (assume @p71 (forall @t122 (= @t188 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t189 @t23)))) % 0.47/0.88 (assume @p72 (forall @t32 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t192 @t191 @t23) (tptp.c_Set_Oimage @t29 @t190 @t11 @t1) @t23))) % 0.47/0.88 (assume @p73 (forall (@list @t1 @t194 @t193) (or @t198 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t194 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t193 @t1) @t1) @t197 @t196 @t195))) % 0.47/0.88 (assume @p74 (forall (@list @t1 @t2 @t200 @t199) (or @t203 (not (= @t202 @t201)) (= @t200 @t199)))) % 0.47/0.88 (assume @p75 (forall (@list @t1 @t204 @t66 @t2) (or @t203 (not (= (tptp.c_HOL_Ominus__class_Ominus @t204 @t66 @t1) @t202)) (= @t204 @t66)))) % 0.47/0.88 (assume @p76 (forall (@list @t1 @t205) (not (= @t16 @t206)))) % 0.47/0.88 (assume @p77 (forall (@list @t1 @t66) (not (= @t16 @t207)))) % 0.47/0.88 (assume @p78 (forall @t38 (= (tptp.c_HOL_Ominus__class_Ominus @t120 @t24 @t23) @t120))) % 0.47/0.88 (assume @p79 (forall @t210 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t209 @t23) @t25))) % 0.47/0.88 (assume @p80 (forall @t211 (or @t81 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t1) @t2)))) % 0.47/0.88 (assume @p81 (forall @t212 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t25 @t23) @t25))) % 0.47/0.88 (assume @p82 (forall (@list @t97 @t2 @t1 @t25) (or @t213 @t100))) % 0.47/0.88 (assume @p83 (forall @t173 (or @t214 (= (tptp.hAPP (tptp.hAPP @t50 @t154) @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t160 (tptp.hAPP (tptp.hAPP @t50 @t65) @t2) @t1))))) % 0.47/0.88 (assume @p84 (forall @t72 (or @t214 (= @t156 @t159)))) % 0.47/0.88 (assume @p85 (forall @t153 (= @t216 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t215 @t23)))) % 0.47/0.88 (assume @p86 (forall @t217 (= (tptp.hAPP (tptp.hAPP @t40 @t118) @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t162 @t150 @t23)))) % 0.47/0.88 (assume @p87 (forall @t221 (or @t220 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t115 @t39) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t219 @t218 @t11))))) % 0.47/0.88 (assume @p88 (forall @t86 (or @t95 (= @t120 @t25)))) % 0.47/0.88 (assume @p89 (forall (@list @t25 @t1 @t29 @t65 @t2 @t11) (or @t90 (not (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t25 @t2 @t1 @t11))))) % 0.47/0.88 (assume @p90 (forall (@list @t29 @t2 @t24 @t1 @t25 @t11) (or (tptp.hBOOL (tptp.c_in @t139 @t24 @t1)) @t222 (not (tptp.c_lessequals @t192 @t24 @t23))))) % 0.47/0.88 (assume @p91 (forall (@list @t24 @t11 @t29 @t25 @t1) (or (tptp.c_Finite__Set_Ofinite @t24 @t11) (not (tptp.c_lessequals @t24 @t223 @t28)) @t91))) % 0.47/0.88 (assume @p92 (forall (@list @t29 @t25 @t1) (= (tptp.c_Finite__Set_Ofold1 @t29 @t25 @t1) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t29 @t25 @t1) @t1)))) % 0.47/0.88 (assume @p93 (forall (@list @t11 @t194 @t224 @t25 @t1) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t11)) (tptp.c_lessequals (tptp.hAPP @t194 @t224) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t194 @t1 @t11) @t11) (not (tptp.hBOOL (tptp.c_in @t224 @t25 @t1)))))) % 0.47/0.88 (assume @p94 (forall (@list @t24 @t49 @t25 @t1 @t11) (or (tptp.c_lessequals @t228 @t227 @t28) @t226))) % 0.47/0.88 (assume @p95 (forall @t237 (or @t236 (= @t230 @t229)))) % 0.47/0.88 (assume @p96 (forall @t237 (or @t236 @t238))) % 0.47/0.88 (assume @p97 (forall @t237 (or @t236 (= @t235 @t232)))) % 0.47/0.88 (assume @p98 (forall (@list @t29 @t1 @t11 @t115) (or (tptp.c_lessequals (tptp.c_Map_Odom @t29 @t1 @t11) (tptp.c_Map_Odom @t115 @t1 @t11) @t23) @t239))) % 0.47/0.88 (assume @p99 (forall (@list @t1 @t2 @t204 @t25) (or @t56 (tptp.c_lessequals @t2 @t204 @t1) (not (tptp.hBOOL (tptp.c_in @t204 @t25 @t1))) (not (tptp.c_lessequals @t2 @t240 @t1)) @t92 @t91))) % 0.47/0.88 (assume @p100 (forall @t38 (or @t241 @t91))) % 0.47/0.88 (assume @p101 (forall @t245 (or @t244 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t243 @t1) (tptp.hAPP @t51 @t242))))) % 0.47/0.88 (assume @p102 (forall @t105 (= (tptp.c_Set_Ovimage @t29 @t190 @t1 @t11) (tptp.c_HOL_Ominus__class_Ominus @t103 @t102 @t23)))) % 0.47/0.88 (assume @p103 (forall @t246 (tptp.c_lessequals (tptp.c_Set_Oimage @t29 @t31 @t11 @t1) @t25 @t23))) % 0.47/0.88 (assume @p104 (forall (@list @t97 @t1) (= @t98 @t97))) % 0.47/0.88 (assume @p105 (forall @t245 (or @t244 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t243 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t247 @t1))))) % 0.47/0.88 (assume @p106 (forall @t249 (or @t90 @t248 @t93))) % 0.47/0.88 (assume @p107 (forall @t38 (or @t241 @t91 @t93))) % 0.47/0.88 (assume @p108 (forall (@list @t115 @t133 @t1 @t11 @t29) (or @t134 (not @t138)))) % 0.47/0.88 (assume @p109 (forall (@list @t24 @t2 @t11 @t25 @t1) (or (tptp.c_Finite__Set_Ofinite @t110 @t11) @t250 (not (tptp.c_Finite__Set_Ofinite @t227 @t11)) @t91))) % 0.47/0.88 (assume @p110 (forall (@list @t29 @t1 @t11) (tptp.c_Map_Omap__le @t29 @t29 @t1 @t11))) % 0.47/0.88 (assume @p111 (forall (@list @t252 @t253 @t1 @t11 @t251) (or (tptp.c_Map_Omap__le @t252 @t253 @t1 @t11) (not (tptp.c_Map_Omap__le @t251 @t253 @t1 @t11)) (not (tptp.c_Map_Omap__le @t252 @t251 @t1 @t11))))) % 0.47/0.88 (assume @p112 (forall (@list @t8 @t5 @t1 @t11) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t8 @t5 @t1 @t11) @t1 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t5 @t1 @t11) @t254 @t23)))) % 0.47/0.88 (assume @p113 (forall (@list @t25 @t2 @t24 @t1 @t255 @t11) (or (tptp.c_lessequals @t112 @t24 @t23) (not (tptp.hBOOL (tptp.c_in @t2 @t255 @t11))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t255 @t25 @t11 @t23) @t24 @t23))))) % 0.47/0.88 (assume @p114 (forall (@list @t25 @t4 @t255 @t1 @t11) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t25 @t4) @t256 @t28) @t256) (not (tptp.hBOOL (tptp.c_in @t4 @t255 @t1)))))) % 0.47/0.88 (assume @p115 (forall @t124 (tptp.c_lessequals (tptp.c_Set_Oimage @t29 @t123 @t11 @t1) (tptp.hAPP (tptp.hAPP @t40 @t192) @t191) @t23))) % 0.47/0.88 (assume @p116 (forall (@list @t128 @t125 @t1) (or @t257 @t127 @t132))) % 0.47/0.88 (assume @p117 (forall @t264 (or @t263 @t262 (not @t260) (not @t258)))) % 0.47/0.88 (assume @p118 (forall (@list @t1 @t48 @t259 @t49 @t140) (or @t263 @t260 @t267 @t265))) % 0.47/0.88 (assume @p119 (forall (@list @t1 @t140 @t49 @t48 @t259) (or @t263 @t258 @t267 @t265))) % 0.47/0.88 (assume @p120 (forall @t153 (or (not @t268) @t47))) % 0.47/0.88 (assume @p121 (forall @t153 (or @t268 @t269))) % 0.47/0.88 (assume @p122 (forall (@list @t205 @t1) (not (= @t206 @t16)))) % 0.47/0.88 (assume @p123 (forall (@list @t204 @t1) (not (= (tptp.c_Option_Ooption_OSome @t204 @t1) @t16)))) % 0.47/0.88 (assume @p124 (forall (@list @t49 @t1 @t205) (or (not (= (tptp.c_Option_Ooption_OSome @t49 @t1) @t206)) (= @t49 @t205)))) % 0.47/0.88 (assume @p125 (forall (@list @t252 @t251 @t253 @t1 @t11) (= (tptp.c_Map_Omap__add @t252 (tptp.c_Map_Omap__add @t251 @t253 @t1 @t11) @t1 @t11) (tptp.c_Map_Omap__add @t270 @t253 @t1 @t11)))) % 0.47/0.88 (assume @p126 (forall @t275 (or (= (tptp.hAPP (tptp.hAPP @t87 @t274) @t140) @t273) @t89))) % 0.47/0.88 (assume @p127 (forall @t275 (or (= @t273 (tptp.hAPP @t271 (tptp.hAPP @t272 @t140))) @t89))) % 0.47/0.88 (assume @p128 (forall (@list @t87 @t49 @t48 @t1) (or (= @t274 (tptp.hAPP @t271 @t49)) @t89))) % 0.47/0.88 (assume @p129 (forall @t264 (or @t263 @t262 @t266))) % 0.47/0.88 (assume @p130 (forall (@list @t24 @t2 @t25 @t1) (or @t111 @t113 (not @t276)))) % 0.47/0.88 (assume @p131 (forall @t278 (or @t276 @t277))) % 0.47/0.88 (assume @p132 (forall @t278 (or @t276 @t279))) % 0.47/0.88 (assume @p133 (forall @t72 (or @t83 @t281))) % 0.47/0.88 (assume @p134 (forall @t72 (or @t83 @t282))) % 0.47/0.88 (assume @p135 (forall @t72 (or @t56 @t282))) % 0.47/0.88 (assume @p136 (forall @t72 (or @t56 @t281))) % 0.47/0.88 (assume @p137 (forall @t153 (= (tptp.hAPP (tptp.hAPP @t40 @t42) @t43) @t283))) % 0.47/0.88 (assume @p138 (forall @t153 (= @t283 (tptp.hAPP @t151 @t215)))) % 0.47/0.88 (assume @p139 (forall (@list @t128 @t1 @t125) (or @t131 @t284))) % 0.47/0.88 (assume @p140 (forall (@list @t125 @t1 @t128) (or @t126 @t284))) % 0.47/0.88 (assume @p141 (forall (@list @t11 @t25 @t1 @t24) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t208 @t25 @t11 @t23) @t24 @t23) @t24))) % 0.47/0.88 (assume @p142 (forall @t286 (or @t285 @t27 @t250))) % 0.47/0.88 (assume @p143 (forall @t287 (or @t143 @t142 @t27))) % 0.47/0.88 (assume @p144 (forall @t286 (or @t285 @t250 @t27))) % 0.47/0.88 (assume @p145 (forall @t289 (or @t288 @t142))) % 0.47/0.88 (assume @p146 (forall @t289 (or @t288 @t144))) % 0.47/0.88 (assume @p147 (forall @t287 (or @t143 @t141 (not @t288)))) % 0.47/0.88 (assume @p148 (forall @t287 (or @t144 @t291))) % 0.47/0.88 (assume @p149 (forall @t292 (or @t141 @t291))) % 0.47/0.88 (assume @p150 (forall @t287 (or @t143 @t293))) % 0.47/0.88 (assume @p151 (forall @t292 (or @t141 @t293))) % 0.47/0.88 (assume @p152 (forall (@list @t49 @t97 @t1) (or @t295 (not @t294)))) % 0.47/0.88 (assume @p153 (forall (@list @t97 @t49 @t1) (or @t294 (not @t295)))) % 0.47/0.88 (assume @p154 (forall @t289 (or @t290 @t143 @t142))) % 0.47/0.88 (assume @p155 (forall (@list @t48 @t25 @t24 @t11 @t1 @t2) (or (tptp.hBOOL (tptp.c_in @t48 @t296 @t1)) (not (tptp.hBOOL (tptp.c_in @t48 @t110 @t1))) @t222))) % 0.47/0.88 (assume @p156 (forall (@list @t48 @t25 @t24 @t1 @t11 @t49) (or (tptp.hBOOL (tptp.c_in @t48 @t227 @t11)) (not (tptp.hBOOL (tptp.c_in @t48 @t228 @t11))) @t226))) % 0.47/0.88 (assume @p157 (forall (@list @t49 @t29 @t24 @t1 @t11) (or @t299 (not @t298)))) % 0.47/0.88 (assume @p158 (forall (@list @t49 @t29 @t25 @t11 @t1) (or (tptp.hBOOL (tptp.c_in @t49 @t31 @t11)) (not (tptp.hBOOL (tptp.c_in @t297 @t25 @t1)))))) % 0.47/0.88 (assume @p159 (forall (@list @t49 @t29 @t24 @t11 @t1) (or (tptp.hBOOL (tptp.c_in @t49 @t30 @t11)) (not (tptp.hBOOL (tptp.c_in @t297 @t24 @t1)))))) % 0.47/0.88 (assume @p160 (forall @t300 (or @t298 (not @t299)))) % 0.47/0.88 (assume @p161 (forall (@list @t29 @t49 @t25 @t11 @t1) (or (tptp.hBOOL (tptp.c_in @t297 @t25 @t11)) (not (tptp.hBOOL (tptp.c_in @t49 @t103 @t1)))))) % 0.47/0.88 (assume @p162 (forall (@list @t306 @t308 @t25 @t2 @t1 @t307 @t305 @t304 @t303 @t302 @t301) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t306 @t310) @t2)) @t250 @t309))) % 0.47/0.88 (assume @p163 (forall (@list @t306 @t2 @t307 @t25 @t1 @t308 @t305 @t304 @t303 @t302 @t301) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t306 @t2) @t311)) @t250 @t309))) % 0.47/0.88 (assume @p164 (forall (@list @t25 @t24 @t1 @t11 @t48 @t2) (or @t312 (not (tptp.hBOOL (tptp.hAPP @t110 @t48))) @t250))) % 0.47/0.88 (assume @p165 (forall (@list @t25 @t24 @t1 @t11 @t48 @t49) (or @t312 (not (tptp.hBOOL (tptp.hAPP @t228 @t48))) @t226))) % 0.47/0.88 (assume @p166 (forall (@list @t2 @t25 @t313 @t29 @t1) (or (not (tptp.hBOOL (tptp.c_in @t2 @t25 @t313))) (tptp.hBOOL (tptp.c_in @t139 (tptp.c_Set_Oimage @t29 @t25 @t313 @t1) @t1))))) % 0.47/0.88 (assume @p167 (forall @t315 (or @t222 @t314))) % 0.47/0.88 (assume @p168 (forall (@list @t29 @t2 @t25 @t11 @t1) (or @t314 @t222))) % 0.47/0.88 (assume @p169 (forall @t316 (or (tptp.hBOOL (tptp.c_in @t139 @t223 @t11)) @t250))) % 0.47/0.88 (assume @p170 (forall @t96 (or @t198 (tptp.hBOOL (tptp.c_in @t317 @t25 @t1)) @t92 @t91))) % 0.47/0.88 (assume @p171 (forall @t96 (or @t198 (tptp.hBOOL (tptp.c_in @t318 @t25 @t1)) @t92 @t91))) % 0.47/0.88 (assume @p172 (forall (@list @t29 @t49 @t25 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t29 @t243 @t1) @t2)) @t225 (not (tptp.c_Finite__Set_Ofold__graph @t29 @t49 @t25 @t2 @t1 @t1))))) % 0.47/0.88 (assume @p173 (forall (@list @t87 @t65 @t48 @t25 @t1 @t66) (or (tptp.c_Finite__Set_Ofold__graph @t87 @t65 @t320 (tptp.hAPP (tptp.hAPP @t87 @t65) @t66) @t1 @t1) @t319 (not (tptp.c_Finite__Set_Ofold__graph @t87 @t48 @t25 @t66 @t1 @t1)) @t89))) % 0.47/0.88 (assume @p174 (forall (@list @t87 @t2 @t25 @t1) (or (= (tptp.c_Finite__Set_Ofold1 @t87 @t321 @t1) (tptp.hAPP (tptp.hAPP @t87 @t2) @t88)) @t101 @t91 @t92 @t89))) % 0.47/0.88 (assume @p175 (forall (@list @t87 @t49 @t48 @t25 @t1 @t2) (or (tptp.c_Finite__Set_Ofold__graph @t87 @t49 (tptp.c_Set_Oinsert @t48 @t323 @t1) @t2 @t1 @t1) @t319 @t226 (not (tptp.c_Finite__Set_Ofold__graph @t87 @t48 @t25 @t2 @t1 @t1)) @t89))) % 0.47/0.88 (assume @p176 (forall @t211 (or @t325 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t324 @t2 @t1) @t2)))) % 0.47/0.88 (assume @p177 (forall @t211 (or @t325 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t324 @t1) @t2)))) % 0.47/0.88 (assume @p178 (forall @t211 (or @t325 (= (tptp.hAPP (tptp.hAPP @t50 @t324) @t2) @t324)))) % 0.47/0.88 (assume @p179 (forall @t211 (or @t325 (= (tptp.hAPP @t155 @t324) @t324)))) % 0.47/0.88 (assume @p180 (forall @t211 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t324 @t2 @t1)))) % 0.47/0.88 (assume @p181 (forall @t86 (or @t325 @t326 (= @t25 @t324)))) % 0.47/0.88 (assume @p182 (forall @t86 (or @t325 @t326 (= @t24 @t324)))) % 0.47/0.88 (assume @p183 (forall @t327 (= (tptp.c_Set_Ovimage @t29 @t208 @t1 @t11) @t85))) % 0.47/0.88 (assume @p184 (forall @t328 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t85 @t85 @t23) @t85))) % 0.47/0.88 (assume @p185 (forall @t246 (or (not (= @t192 @t85)) @t329))) % 0.47/0.88 (assume @p186 (forall (@list @t308 @t1 @t301 @t307 @t306 @t305 @t304 @t303 @t302) (or (= (tptp.hAPP @t308 @t85) @t301) @t309))) % 0.47/0.88 (assume @p187 (forall (@list @t307 @t1 @t302 @t308 @t306 @t305 @t304 @t303 @t301) (or (= (tptp.hAPP @t307 @t85) @t302) @t309))) % 0.47/0.88 (assume @p188 (forall (@list @t1 @t97 @t2) (or (not (= @t85 @t98)) @t330))) % 0.47/0.88 (assume @p189 (forall @t328 (tptp.c_lessequals @t85 @t85 @t23))) % 0.47/0.88 (assume @p190 (forall @t212 (or @t92 (not (tptp.c_lessequals @t25 @t85 @t23))))) % 0.47/0.88 (assume @p191 (forall (@list @t97 @t1 @t2) (or (not (= @t98 @t85)) @t330))) % 0.47/0.88 (assume @p192 (forall (@list @t29 @t1 @t2) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t29 @t85 @t1) @t2))))) % 0.47/0.88 (assume @p193 (forall @t96 (= (tptp.c_HOL_Ominus__class_Ominus @t85 @t25 @t23) @t85))) % 0.47/0.88 (assume @p194 (forall @t212 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t85 @t23) @t25))) % 0.47/0.88 (assume @p195 (forall @t331 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t85 @t24 @t23) @t24))) % 0.47/0.88 (assume @p196 (forall @t212 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t25 @t23) @t85))) % 0.47/0.88 (assume @p197 (forall @t212 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t85 @t23) @t25))) % 0.47/0.88 (assume @p198 (forall @t328 (tptp.c_Finite__Set_Ofinite @t85 @t1))) % 0.47/0.88 (assume @p199 (forall (@list @t2 @t65 @t29 @t1 @t11) (or (= @t2 @t65) (not (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t85 @t2 @t1 @t11))))) % 0.47/0.88 (assume @p200 (forall @t96 (= (tptp.hAPP @t41 @t85) @t85))) % 0.47/0.88 (assume @p201 (forall @t331 (= (tptp.hAPP (tptp.hAPP @t40 @t85) @t24) @t85))) % 0.47/0.88 (assume @p202 (forall @t96 (tptp.c_lessequals @t85 @t25 @t23))) % 0.47/0.88 (assume @p203 (forall (@list @t1 @t29 @t25 @t11) (or (not (= @t85 @t192)) @t329))) % 0.47/0.88 (assume @p204 (forall @t327 (= @t332 @t85))) % 0.47/0.88 (assume @p205 (forall (@list @t29 @t65 @t1 @t11) (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t85 @t65 @t1 @t11))) % 0.47/0.88 (assume @p206 (forall @t38 (or @t333 @t94))) % 0.47/0.88 (assume @p207 (forall @t38 (or @t333 @t92))) % 0.47/0.88 (assume @p208 (forall (@list @t1 @t29 @t11) (= @t85 @t332))) % 0.47/0.88 (assume @p209 (forall @t300 (= (tptp.c_Set_Ovimage @t29 @t334 @t1 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t29 (tptp.c_Set_Oinsert @t49 @t208 @t11) @t1 @t11) @t102 @t23)))) % 0.47/0.88 (assume @p210 (forall @t337 (or @t244 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t336 @t1) @t174)))) % 0.47/0.88 (assume @p211 (forall @t344 (or @t343 @t27 @t341))) % 0.47/0.88 (assume @p212 (forall @t337 (or @t244 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t336 @t1) @t52)))) % 0.47/0.88 (assume @p213 (forall (@list @t49 @t43 @t1 @t345) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t49 @t43 @t1) (tptp.c_Set_Oinsert @t49 @t345 @t1) @t23) (not (tptp.c_lessequals @t43 @t345 @t23))))) % 0.47/0.88 (assume @p214 (forall @t300 (= (tptp.c_Set_Oimage @t29 @t334 @t11 @t1) (tptp.c_Set_Oinsert @t297 @t191 @t1)))) % 0.47/0.88 (assume @p215 (forall (@list @t308 @t49 @t25 @t1 @t304 @t307 @t306 @t305 @t303 @t302 @t301) (or (= (tptp.hAPP @t308 @t243) (tptp.hAPP @t346 @t310)) @t309))) % 0.47/0.88 (assume @p216 (forall (@list @t307 @t49 @t25 @t1 @t303 @t308 @t306 @t305 @t304 @t302 @t301) (or (= (tptp.hAPP @t307 @t243) (tptp.hAPP @t347 @t311)) @t309))) % 0.47/0.88 (assume @p217 (forall @t349 (or @t348 @t91))) % 0.47/0.88 (assume @p218 (forall (@list @t25 @t1 @t49) (or @t90 (not @t348)))) % 0.47/0.88 (assume @p219 (forall (@list @t24 @t49 @t1) (tptp.c_lessequals @t24 @t350 @t23))) % 0.47/0.88 (assume @p220 (forall (@list @t1 @t49 @t25 @t24) (= (tptp.hAPP (tptp.hAPP @t40 @t243) @t350) @t351))) % 0.47/0.88 (assume @p221 (forall @t352 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t350 @t23) (tptp.c_Set_Oinsert @t49 @t36 @t1)))) % 0.47/0.88 (assume @p222 (forall (@list @t49 @t24 @t1 @t43) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t350 @t43 @t23) (tptp.c_Set_Oinsert @t49 @t118 @t1)))) % 0.47/0.88 (assume @p223 (forall (@list @t25 @t48 @t24 @t1) (or (tptp.c_lessequals @t25 @t353 @t23) @t27))) % 0.47/0.88 (assume @p224 (forall @t278 (or @t26 @t355))) % 0.47/0.88 (assume @p225 (forall (@list @t1 @t252 @t11 @t251) (or (not (= (tptp.hAPP (tptp.hAPP @t40 (tptp.c_Map_Odom @t252 @t1 @t11)) (tptp.c_Map_Odom @t251 @t1 @t11)) @t85)) (= @t270 (tptp.c_Map_Omap__add @t251 @t252 @t1 @t11))))) % 0.47/0.88 (assume @p226 (forall (@list @t29 @t2 @t1 @t11 @t25) (or (not (= @t139 @t16)) (= (tptp.c_HOL_Ominus__class_Ominus @t356 (tptp.c_Set_Oinsert @t2 @t25 @t11) @t28) (tptp.c_HOL_Ominus__class_Ominus @t356 @t25 @t28))))) % 0.47/0.88 (assume @p227 (forall (@list @t232 @t231 @t229 @t234) (not (= @t233 @t357)))) % 0.47/0.88 (assume @p228 (forall (@list @t234 @t232 @t231 @t229) (not (= @t357 @t233)))) % 0.47/0.88 (assume @p229 (forall (@list @t125 @t358 @t1) (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t125 @t358 @t1) @t360))) % 0.47/0.88 (assume @p230 (forall (@list @t29 @t65 @t25 @t2 @t66 @t1 @t11) (or (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t25 @t361 @t1 @t11) @t250 (not (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t339 @t66 @t1 @t11))))) % 0.47/0.88 (assume @p231 (forall @t344 (or @t343 @t250 @t341))) % 0.47/0.88 (assume @p232 (forall @t114 (or @t340 @t250 @t362))) % 0.47/0.88 (assume @p233 (forall @t286 (or @t363 @t250 @t95))) % 0.47/0.88 (assume @p234 (forall (@list @t1 @t25 @t24 @t11 @t2) (or (not (= @t85 @t296)) @t364 @t222))) % 0.47/0.88 (assume @p235 (forall (@list @t25 @t24 @t11 @t1 @t2) (or (not (= @t296 @t85)) @t364 @t222))) % 0.47/0.88 (assume @p236 (forall @t365 (or @t354 @t27 @t363))) % 0.47/0.88 (assume @p237 (forall @t367 (or (= @t366 @t351) @t226))) % 0.47/0.88 (assume @p238 (forall @t370 (or (= @t369 (tptp.c_Set_Oinsert @t49 @t152 @t1)) (not @t368)))) % 0.47/0.88 (assume @p239 (forall @t365 (or (= @t371 @t120) @t363))) % 0.47/0.88 (assume @p240 (forall @t210 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t209 @t23) @t25))) % 0.47/0.88 (assume @p241 (forall @t117 (or @t372 @t137))) % 0.47/0.88 (assume @p242 (forall @t117 (or (not @t372) @t136))) % 0.47/0.88 (assume @p243 (forall (@list @t1 @t43 @t25 @t24) (= (tptp.hAPP @t149 @t120) (tptp.c_HOL_Ominus__class_Ominus @t150 (tptp.hAPP @t149 @t24) @t23)))) % 0.47/0.88 (assume @p244 (forall @t153 (= (tptp.hAPP @t374 @t43) @t373))) % 0.47/0.88 (assume @p245 (forall @t375 (or (tptp.c_lessequals @t120 (tptp.c_HOL_Ominus__class_Ominus @t43 @t345 @t23) @t23) (not (tptp.c_lessequals @t345 @t24 @t23)) @t177))) % 0.47/0.88 (assume @p246 (forall @t72 (or @t83 (tptp.c_lessequals @t377 @t376 @t1)))) % 0.47/0.88 (assume @p247 (forall (@list @t1 @t25 @t43 @t24) (= @t373 (tptp.c_HOL_Ominus__class_Ominus @t215 @t24 @t23)))) % 0.47/0.88 (assume @p248 (forall @t82 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t158 @t1) @t2)))) % 0.47/0.88 (assume @p249 (forall @t38 (or @t378 @t183 @t27))) % 0.47/0.88 (assume @p250 (forall @t117 (or (= @t29 @t115) (not (tptp.c_Map_Omap__le @t115 @t29 @t1 @t11)) @t239))) % 0.47/0.88 (assume @p251 (forall @t82 (or @t263 @t379 @t171 @t182))) % 0.47/0.88 (assume @p252 (forall @t82 (or @t263 @t379 @t182 @t171))) % 0.47/0.88 (assume @p253 (forall @t82 (or @t83 (= (tptp.hAPP @t155 @t79) @t2)))) % 0.47/0.88 (assume @p254 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t42 @t23) @t25))) % 0.47/0.88 (assume @p255 (forall @t82 (or @t81 (= @t79 @t2) @t171))) % 0.47/0.88 (assume @p256 (forall @t82 (or @t81 (not @t380) @t71))) % 0.47/0.88 (assume @p257 (forall @t82 (or @t81 @t380 @t182))) % 0.47/0.88 (assume @p258 (forall @t38 (or @t381 @t27))) % 0.47/0.88 (assume @p259 (forall @t38 (or (= @t36 @t25) @t183))) % 0.47/0.88 (assume @p260 (forall @t38 (or (not @t381) @t26))) % 0.47/0.88 (assume @p261 (forall (@list @t133 @t128 @t1 @t11) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t133 @t128 @t1 @t11) @t11) @t132))) % 0.47/0.88 (assume @p262 (forall (@list @t1 @t193 @t194) (or @t198 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t193 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t194 @t1) @t1) @t197 @t196 @t195))) % 0.47/0.88 (assume @p263 (forall (@list @t49 @t25 @t11 @t24 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t49 @t25 @t11) @t24 @t11 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t228 @t296 @t23)))) % 0.47/0.88 (assume @p264 (forall @t389 (or @t388 (= @t383 @t382)))) % 0.47/0.88 (assume @p265 (forall @t389 (or @t388 (= @t387 @t385)))) % 0.47/0.88 (assume @p266 (forall @t389 (or @t388 (= @t386 @t384)))) % 0.47/0.88 (assume @p267 (forall (@list @t1 @t25 @t49) (or @t56 (tptp.c_lessequals @t240 @t49 @t1) @t226 @t91))) % 0.47/0.88 (assume @p268 (forall @t390 (or @t244 (tptp.c_lessequals @t242 @t2 @t1) @t250))) % 0.47/0.88 (assume @p269 (forall @t337 (or @t263 @t391 @t266))) % 0.47/0.88 (assume @p270 (forall @t337 (or @t263 (not @t391) @t267))) % 0.47/0.88 (assume @p271 (forall @t15 (or @t14 @t17 @t7))) % 0.47/0.88 (assume @p272 (forall @t375 (or (tptp.c_lessequals @t36 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t345 @t23) @t23) @t392 @t177))) % 0.47/0.88 (assume @p273 (forall @t82 (or @t83 @t393))) % 0.47/0.88 (assume @p274 (forall @t82 (or @t83 @t394))) % 0.47/0.88 (assume @p275 (forall @t72 (or @t56 @t69 @t166 @t182))) % 0.47/0.88 (assume @p276 (forall @t57 (or @t56 @t53 @t396 @t395))) % 0.47/0.88 (assume @p277 (forall @t82 (or @t56 @t394))) % 0.47/0.88 (assume @p278 (forall @t82 (or @t56 @t393))) % 0.47/0.88 (assume @p279 (forall @t86 (tptp.c_lessequals @t42 @t25 @t23))) % 0.47/0.88 (assume @p280 (forall @t86 (tptp.c_lessequals @t42 @t24 @t23))) % 0.47/0.88 (assume @p281 (forall (@list @t43 @t1 @t25 @t24) (or @t44 (not @t46) @t269))) % 0.47/0.88 (assume @p282 (forall @t173 (or @t214 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t2 @t1) (tptp.hAPP (tptp.hAPP @t50 @t78) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t2 @t1)))))) % 0.47/0.88 (assume @p283 (forall @t72 (or @t214 (= @t377 @t376)))) % 0.47/0.88 (assume @p284 (forall @t397 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t152 @t23) (tptp.hAPP @t148 @t189)))) % 0.47/0.88 (assume @p285 (forall @t217 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t152 @t25 @t23) (tptp.hAPP (tptp.hAPP @t40 @t33) @t147)))) % 0.47/0.88 (assume @p286 (forall @t82 (or @t83 @t398))) % 0.47/0.88 (assume @p287 (forall @t82 (or @t56 @t398))) % 0.47/0.88 (assume @p288 (forall @t86 (= (tptp.hAPP @t41 @t42) @t42))) % 0.47/0.88 (assume @p289 (forall (@list @t25 @t24 @t1 @t49) (or @t241 (not @t400)))) % 0.47/0.88 (assume @p290 (forall @t352 (or @t400 @t248))) % 0.47/0.88 (assume @p291 (forall @t211 (or @t56 (= (tptp.hAPP @t155 @t2) @t2)))) % 0.47/0.88 (assume @p292 (forall @t96 (= (tptp.hAPP @t41 @t25) @t25))) % 0.47/0.88 (assume @p293 (forall @t173 (or @t81 @t167 @t401))) % 0.47/0.88 (assume @p294 (forall @t74 (or @t81 @t73 @t401))) % 0.47/0.88 (assume @p295 (forall @t57 (or @t81 @t402 @t396))) % 0.47/0.88 (assume @p296 (forall @t57 (or @t81 @t402 @t395))) % 0.47/0.88 (assume @p297 (forall (@list @t1 @t48 @t2 @t49) (or @t81 @t63 @t403))) % 0.47/0.88 (assume @p298 (forall (@list @t1 @t49 @t2 @t48) (or @t81 @t59 @t403))) % 0.47/0.88 (assume @p299 (forall @t405 (or @t176 @t404))) % 0.47/0.88 (assume @p300 (forall (@list @t24 @t43 @t1 @t25) (or @t178 @t404))) % 0.47/0.88 (assume @p301 (forall @t221 (or @t220 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39) @t29) @t115) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11) @t219) @t218))))) % 0.47/0.88 (assume @p302 (forall (@list @t1 @t65 @t2 @t66) (or @t263 @t172 (not (tptp.c_lessequals @t65 @t66 @t1)) @t171))) % 0.47/0.88 (assume @p303 (forall @t74 (or @t406 @t73 @t168 @t182))) % 0.47/0.88 (assume @p304 (forall @t407 (tptp.c_lessequals @t2 @t2 @t23))) % 0.47/0.88 (assume @p305 (forall @t212 (tptp.c_lessequals @t25 @t25 @t23))) % 0.47/0.88 (assume @p306 (forall @t405 (or @t176 @t179 @t27))) % 0.47/0.88 (assume @p307 (forall @t411 (or @t410 @t330 @t409))) % 0.47/0.88 (assume @p308 (forall @t211 (or @t263 @t412))) % 0.47/0.88 (assume @p309 (forall @t211 (or @t406 @t412))) % 0.47/0.88 (assume @p310 (forall @t249 (or @t90 @t93 @t27))) % 0.47/0.88 (assume @p311 (forall @t411 (or @t410 @t409 @t330))) % 0.47/0.88 (assume @p312 (forall @t249 (or @t90 @t27 @t93))) % 0.47/0.88 (assume @p313 (forall (@list @t1 @t25 @t24 @t43 @t345) (or (tptp.c_lessequals @t42 (tptp.hAPP @t149 @t345) @t23) @t392 @t177))) % 0.47/0.88 (assume @p314 (forall @t122 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t118 @t23) (tptp.hAPP @t374 @t76)))) % 0.47/0.88 (assume @p315 (forall @t337 (or @t263 @t413 @t266))) % 0.47/0.88 (assume @p316 (forall @t337 (or @t263 (not @t413) @t267))) % 0.47/0.88 (assume @p317 (forall @t153 (= (tptp.c_HOL_Ominus__class_Ominus @t42 @t43 @t23) (tptp.hAPP @t41 @t75)))) % 0.47/0.88 (assume @p318 (forall (@list @t2 @t1 @t25 @t97) (or @t99 @t330 @t250))) % 0.47/0.88 (assume @p319 (forall @t397 (= (tptp.c_HOL_Ominus__class_Ominus @t25 @t152 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t76 @t23)))) % 0.47/0.88 (assume @p320 (forall (@list @t25 @t24 @t11 @t194 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t104 @t194 @t11 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t25 @t194 @t11 @t23) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t24 @t194 @t11 @t23) @t23)))) % 0.47/0.88 (assume @p321 (forall (@list @t25 @t29 @t2 @t1 @t11) (or @t415 (not @t414)))) % 0.47/0.88 (assume @p322 (forall (@list @t29 @t25 @t1 @t11 @t2) (or @t414 (not @t415)))) % 0.47/0.88 (assume @p323 (forall @t407 (= (tptp.c_The @t416 @t1) @t2))) % 0.47/0.88 (assume @p324 (forall @t390 (or @t198 (tptp.c_lessequals @t317 @t2 @t1) @t250 @t91))) % 0.47/0.88 (assume @p325 (forall (@list @t1 @t25 @t24 @t2) (or @t108 @t277 @t279))) % 0.47/0.88 (assume @p326 (forall (@list @t24 @t43 @t25 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t24 (tptp.c_HOL_Ominus__class_Ominus @t43 @t25 @t23) @t23) @t25) @t179 @t27))) % 0.47/0.88 (assume @p327 (forall @t420 (or @t419 @t418 @t417 @t171))) % 0.47/0.88 (assume @p328 (forall @t420 (or @t419 @t418 @t170 (not @t417)))) % 0.47/0.88 (assume @p329 (forall (@list @t29 @t25 @t1 @t11 @t24) (or (tptp.c_lessequals @t223 (tptp.c_Set_Oimage @t29 @t24 @t1 @t11) @t28) @t27))) % 0.47/0.88 (assume @p330 (forall @t315 (or (not (tptp.c_lessequals @t2 @t25 @t28)) (tptp.c_lessequals (tptp.c_Set_Oimage @t29 @t2 @t11 @t1) @t192 @t23)))) % 0.47/0.88 (assume @p331 (forall @t407 (= (tptp.c_Option_Othe @t3 @t1) @t2))) % 0.47/0.88 (assume @p332 (forall @t421 (or @t198 (tptp.c_lessequals @t2 @t318 @t1) @t250 @t91))) % 0.47/0.88 (assume @p333 (forall @t105 (= (tptp.c_Set_Oimage @t29 @t104 @t11 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t192 @t191 @t23)))) % 0.47/0.88 (assume @p334 (forall @t421 (or @t244 (tptp.c_lessequals @t2 @t247 @t1) @t250))) % 0.47/0.88 (assume @p335 (forall @t165 (or @t198 @t170 @t71))) % 0.47/0.88 (assume @p336 (forall @t286 (or @t285 @t355))) % 0.47/0.88 (assume @p337 (forall @t316 (or (= (tptp.c_Set_Oinsert @t139 @t223 @t11) @t223) @t250))) % 0.47/0.88 (assume @p338 (forall @t344 (or @t343 @t27 @t101))) % 0.47/0.88 (assume @p339 (forall @t278 (or @t26 @t101 @t362))) % 0.47/0.88 (assume @p340 (forall @t278 (or @t26 @t362 @t101))) % 0.47/0.88 (assume @p341 (forall @t367 (or (= @t366 @t42) @t225))) % 0.47/0.88 (assume @p342 (forall @t370 (or (= @t369 @t152) @t368))) % 0.47/0.88 (assume @p343 (forall (@list @t29 @t65 @t2 @t25 @t1 @t66 @t11) (or (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t321 @t361 @t1 @t11) (not (tptp.c_Finite__Set_Ofold__graph @t29 @t65 @t25 @t66 @t1 @t11)) @t101))) % 0.47/0.88 (assume @p344 (forall @t365 (or (= @t371 (tptp.c_Set_Oinsert @t2 @t120 @t1)) @t285))) % 0.47/0.88 (assume @p345 (forall @t328 (or @t244 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t85 @t1) @t324)))) % 0.47/0.88 (assume @p346 (forall @t422 (= (tptp.c_Collect (tptp.c_fequal @t49 @t1) @t1) @t322))) % 0.47/0.88 (assume @p347 (forall (@list @t25 @t2 @t1) (or (= @t25 @t338) @t92 (not (tptp.c_lessequals @t25 @t338 @t23))))) % 0.47/0.88 (assume @p348 (forall (@list @t308 @t49 @t1 @t307 @t306 @t305 @t304 @t303 @t302 @t301) (or (= (tptp.hAPP @t308 @t322) @t49) @t309))) % 0.47/0.88 (assume @p349 (forall (@list @t307 @t49 @t1 @t308 @t306 @t305 @t304 @t303 @t302 @t301) (or (= (tptp.hAPP @t307 @t322) @t49) @t309))) % 0.47/0.88 (assume @p350 (forall @t423 (or @t244 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t322 @t1) @t49)))) % 0.47/0.88 (assume @p351 (forall @t407 (tptp.hBOOL (tptp.hAPP @t338 @t424)))) % 0.47/0.88 (assume @p352 (forall (@list @t49 @t11 @t24 @t1) (= (tptp.c_Set_Oinsert @t49 @t209 @t1) @t322))) % 0.47/0.88 (assume @p353 (forall (@list @t29 @t2 @t1) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t29 @t338 @t1) @t2)))) % 0.47/0.88 (assume @p354 (forall @t423 (or @t198 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t322 @t1) @t49)))) % 0.47/0.88 (assume @p355 (forall @t407 (= (tptp.c_The @t338 @t1) @t2))) % 0.47/0.88 (assume @p356 (forall (@list @t308 @t49 @t48 @t1 @t304 @t307 @t306 @t305 @t303 @t302 @t301) (or (= (tptp.hAPP @t308 @t336) (tptp.hAPP @t346 @t48)) @t309))) % 0.47/0.88 (assume @p357 (forall (@list @t307 @t49 @t48 @t1 @t303 @t308 @t306 @t305 @t304 @t302 @t301) (or (= (tptp.hAPP @t307 @t336) (tptp.hAPP @t347 @t48)) @t309))) % 0.47/0.88 (assume @p358 (forall @t352 (= @t399 (tptp.c_HOL_Ominus__class_Ominus @t323 @t24 @t23)))) % 0.47/0.88 (assume @p359 (forall @t352 (= @t399 (tptp.c_HOL_Ominus__class_Ominus @t120 @t322 @t23)))) % 0.47/0.88 (assume @p360 (forall (@list @t49 @t48 @t29 @t1) (or @t425 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t29 @t322 @t1) @t48)))))) % 0.47/0.88 (assume @p361 (forall @t407 (= (tptp.c_Set_Ocontents @t338 @t1) @t2))) % 0.47/0.88 (assume @p362 (forall (@list @t66 @t2 @t1) (or (= @t66 @t424) (not (tptp.hBOOL (tptp.hAPP @t338 @t66)))))) % 0.47/0.88 (assume @p363 (forall (@list @t29 @t49 @t1) (= (tptp.c_Finite__Set_Ofold1 @t29 @t322 @t1) @t49))) % 0.47/0.88 (assume @p364 (forall @t423 (or @t198 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t322 @t1) @t49)))) % 0.47/0.88 (assume @p365 (forall @t349 (= @t426 @t243))) % 0.47/0.88 (assume @p366 (forall @t423 (or @t263 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t49 @t49 @t1) @t322)))) % 0.47/0.88 (assume @p367 (forall @t349 (= @t243 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t322 @t25 @t23)))) % 0.47/0.88 (assume @p368 (forall @t423 (or @t244 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t322 @t1) @t49)))) % 0.47/0.88 (assume @p369 (forall @t431 (or (= @t430 (tptp.hAPP @t429 @t8)) @t428))) % 0.47/0.88 (assume @p370 (forall @t431 (or @t432 (tptp.hBOOL (tptp.c_in @t8 (tptp.c_Map_Odom @t429 @t1 @t11) @t1))))) % 0.47/0.88 (assume @p371 (forall (@list @t49 @t8 @t1 @t11) (or @t435 @t434))) % 0.47/0.88 (assume @p372 @t436) % 0.47/0.88 (assume @p373 (forall (@list @t8 @t49 @t48 @t1 @t11) (or (not (= @t433 (tptp.c_Option_Ooption_OSome @t48 @t1))) (tptp.hBOOL (tptp.c_in @t49 (tptp.c_Map_Odom @t8 @t11 @t1) @t11))))) % 0.47/0.88 (assume @p374 (forall (@list @t438 @t2 @t437 @t1 @t11) (or (= (tptp.hAPP @t438 @t2) (tptp.hAPP @t437 @t2)) (not (tptp.hBOOL (tptp.c_in @t2 (tptp.c_Map_Odom @t438 @t1 @t11) @t1))) (not (tptp.c_Map_Omap__le @t438 @t437 @t1 @t11))))) % 0.47/0.88 (assume @p375 (forall @t431 (or @t432 (not @t428)))) % 0.47/0.88 (assume @p376 (forall (@list @t29 @t2 @t66 @t1 @t11) (or (not (= @t139 @t207)) (= (tptp.c_Set_Oinsert @t2 @t356 @t11) @t356)))) % 0.47/0.88 (assume @p377 (forall (@list @t442 @t439 @t49) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t442 @t439 @t49)) (not @t441)))) % 0.47/0.88 (assume @p378 (forall (@list @t97 @t442 @t49) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY @t97)) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t442 @t97 @t49)))))) % 0.47/0.88 (assume @p379 (forall (@list @t97 @t140 @t408) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t444 @t447 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t444 @t447 tptp.tc_Com_Ostate)) (not @t446)))) % 0.47/0.88 (assume @p380 (forall @t455 (or @t454 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t453 @t125 @t448) @t452 @t1))))) % 0.47/0.88 (assume @p381 (forall @t455 (or @t454 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 @t452 @t1))))) % 0.47/0.88 (assume @p382 (tptp.c_Finite__Set_Ofinite @t456 tptp.tc_Com_Opname)) % 0.47/0.88 (assume @p383 (forall @t349 (or (= @t426 @t25) @t226))) % 0.47/0.88 (assume @p384 (forall (@list @t29 @t49 @t48 @t11 @t1) (or (= @t297 @t48) (not (tptp.hBOOL (tptp.c_in @t49 (tptp.c_Set_Ovimage @t29 (tptp.c_Set_Oinsert @t48 @t208 @t11) @t1 @t11) @t1)))))) % 0.47/0.88 (assume @p385 (forall (@list @t49 @t29 @t1 @t313) (tptp.hBOOL (tptp.c_in @t49 (tptp.c_Set_Ovimage @t29 (tptp.c_Set_Oinsert @t297 @t85 @t1) @t313 @t1) @t313)))) % 0.47/0.88 (assume @p386 (forall (@list @t2 @t204 @t11 @t87 @t1) (or (not (= (tptp.c_Set_Oinsert @t2 @t204 @t11) @t208)) (tptp.hBOOL (tptp.c_in @t2 @t204 @t11)) @t89))) % 0.47/0.88 (assume @p387 (forall @t457 (or (= (tptp.c_HOL_Ominus__class_Ominus @t321 @t338 @t23) @t25) @t101))) % 0.47/0.88 (assume @p388 @t459) % 0.47/0.88 (assume @p389 (forall (@list @t439 @t48) (or (not (= @t450 (tptp.c_Option_Ooption_OSome @t48 tptp.tc_Com_Ocom))) @t460 (tptp.c_Com_OWT @t48)))) % 0.47/0.88 (assume @p390 (forall (@list @t125 @t439) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 (tptp.c_Set_Oinsert @t461 @t444 @t443) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t461 @t125 @t443) (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT @t451) @t444 @t443) tptp.tc_Com_Ostate))))) % 0.47/0.88 (assume @p391 (forall @t466 (or @t465 @t464 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT (tptp.c_Com_Ocom_OBODY @t463)) @t444 @t443) tptp.tc_Com_Ostate)) @t462))) % 0.47/0.88 (assume @p392 (forall @t466 (or @t465 @t464 (tptp.hBOOL (tptp.c_in @t463 @t456 tptp.tc_Com_Opname)) @t462))) % 0.47/0.88 (assume @p393 (forall (@list @t125 @t146 @t358 @t1) (or @t468 @t360 (not @t467)))) % 0.47/0.88 (assume @p394 (forall (@list @t125 @t358 @t1 @t146) (or @t359 @t469))) % 0.47/0.88 (assume @p395 (forall @t407 (tptp.hBOOL (tptp.c_in @t2 @t338 @t1)))) % 0.47/0.88 (assume @p396 (forall (@list @t49 @t48 @t25 @t1) (or @t470 @t226))) % 0.47/0.88 (assume @p397 (forall (@list @t49 @t48 @t24 @t1) (or (tptp.hBOOL (tptp.c_in @t49 @t353 @t1)) (not (tptp.hBOOL (tptp.c_in @t49 @t24 @t1)))))) % 0.47/0.88 (assume @p398 (forall @t457 (tptp.hBOOL (tptp.hAPP @t321 @t2)))) % 0.47/0.88 (assume @p399 (forall (@list @t125 @t358 @t1 @t471) (or @t359 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 @t471 @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t471 @t358 @t1))))) % 0.47/0.88 (assume @p400 (forall @t407 @t472)) % 0.47/0.88 (assume @p401 (forall @t473 (or @t213 @t472))) % 0.47/0.88 (assume @p402 (forall (@list @t140 @t1) (not (tptp.hBOOL (tptp.c_in @t140 @t85 @t1))))) % 0.47/0.88 (assume @p403 (forall @t422 (not (tptp.hBOOL (tptp.c_in @t49 @t85 @t1))))) % 0.47/0.88 (assume @p404 (forall @t245 (not (= @t85 @t243)))) % 0.47/0.88 (assume @p405 @t476) % 0.47/0.88 (assume @p406 (= (tptp.hAPP @t477 tptp.v_x) (tptp.c_in tptp.v_x @t477 tptp.t_a))) % 0.47/0.88 (assume @p407 (forall @t481 (or @t480 @t479 @t478))) % 0.47/0.88 (assume @p408 (forall @t481 (or @t480 @t482 @t478))) % 0.47/0.88 (assume @p409 (forall @t481 (or @t480 @t479 @t483))) % 0.47/0.88 (assume @p410 (forall @t481 (or @t480 @t482 @t483))) % 0.47/0.88 (assume @p411 (forall (@list @t49 @t25 @t1 @t48) (or @t225 @t425 (not @t470)))) % 0.47/0.88 (assume @p412 (forall @t211 (not (tptp.hBOOL (tptp.hAPP @t85 @t2))))) % 0.47/0.88 (assume @p413 (forall (@list @t125 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t125 @t449 @t1))) % 0.47/0.88 (assume @p414 (forall (@list @t2 @t204) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t2 @t204)))) % 0.47/0.88 (assume @p415 (forall (@list @t25 @t2 @t66 @t1) (or @t113 (= @t66 @t2) (not @t485)))) % 0.47/0.88 (assume @p416 (forall @t457 (= (tptp.c_Set_Oinsert @t2 @t321 @t1) @t321))) % 0.47/0.88 (assume @p417 (forall @t349 (not (= @t243 @t85)))) % 0.47/0.88 (assume @p418 (forall (@list @t11) (or (not (tptp.class_Orderings_Obot @t11)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t39) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t11))))) % 0.47/0.88 (assume @p419 (forall (@list @t48 @t49 @t1) (or (= @t48 @t49) (not (tptp.hBOOL (tptp.c_in @t48 @t322 @t1)))))) % 0.47/0.88 (assume @p420 (forall @t457 (tptp.hBOOL (tptp.c_in @t2 @t321 @t1)))) % 0.47/0.88 (assume @p421 (forall (@list @t49 @t24 @t1) (tptp.hBOOL (tptp.c_in @t49 @t350 @t1)))) % 0.47/0.88 (assume @p422 (forall (@list @t2 @t24 @t1) (tptp.hBOOL (tptp.c_in @t2 @t342 @t1)))) % 0.47/0.88 (assume @p423 (forall (@list @t2 @t66 @t25 @t1) (= (tptp.c_Set_Oinsert @t2 @t484 @t1) (tptp.c_Set_Oinsert @t66 @t321 @t1)))) % 0.47/0.88 (assume @p424 (forall (@list @t2 @t486 @t1) (or @t488 (not @t487)))) % 0.47/0.88 (assume @p425 (forall (@list @t486 @t2 @t1) (or @t487 (not @t488)))) % 0.47/0.88 (assume @p426 (forall (@list @t204 @t2 @t1) (= (tptp.c_Set_Oinsert @t204 @t338 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t204 @t85 @t1) @t1)))) % 0.47/0.88 (assume @p427 (forall (@list @t49 @t1 @t48) (or (not (= @t322 @t335)) @t425))) % 0.47/0.88 (assume @p428 (forall @t473 (or @t330 @t472))) % 0.47/0.88 (assume @p429 (forall (@list @t2 @t204 @t1) (or (not (= (tptp.c_Set_Oinsert @t2 @t204 @t1) @t85)) (tptp.hBOOL (tptp.c_in @t2 @t204 @t1))))) % 0.47/0.88 (assume @p430 (forall (@list @t125 @t146 @t1 @t358) (or @t467 @t469))) % 0.47/0.88 (assume @p431 (forall (@list @t66 @t25 @t1 @t2) (or @t485 @t279))) % 0.47/0.88 (assume @p432 (forall @t365 (or (not (= @t321 @t342)) @t285 @t101 @t378))) % 0.47/0.88 (assume @p433 (forall (@list @t234 @t231) (or (not (= @t357 (tptp.c_Com_Ocom_OBODY @t231))) @t238))) % 0.47/0.88 (assume @p434 (forall @t349 (or (= @t243 @t25) @t226))) % 0.47/0.88 (assume @p435 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.47/0.88 (assume @p436 tptp.c_Com_OWT__bodies) % 0.47/0.88 (assume @p437 (tptp.c_Com_OWT tptp.v_c)) % 0.47/0.88 (assume @p438 @t489) % 0.47/0.88 (assume @p439 (not @t491)) % 0.47/0.88 (assume @p440 (forall @t495 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t494) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t492))))) % 0.47/0.88 (assume @p441 (forall @t495 (or (tptp.class_Lattices_Oupper__semilattice @t494) @t496))) % 0.47/0.88 (assume @p442 (forall @t495 (or (tptp.class_Lattices_Olower__semilattice @t494) @t496))) % 0.47/0.88 (assume @p443 (forall @t495 (or (tptp.class_Lattices_Odistrib__lattice @t494) (not (tptp.class_Lattices_Odistrib__lattice @t492))))) % 0.47/0.88 (assume @p444 (forall @t495 (or (tptp.class_Lattices_Obounded__lattice @t494) (not (tptp.class_Lattices_Obounded__lattice @t492))))) % 0.47/0.88 (assume @p445 (forall @t495 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t494) @t497 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t493))))) % 0.47/0.88 (assume @p446 (forall @t495 (or (tptp.class_Orderings_Opreorder @t494) (not (tptp.class_Orderings_Opreorder @t492))))) % 0.47/0.88 (assume @p447 (forall @t495 (or (tptp.class_Lattices_Olattice @t494) @t496))) % 0.47/0.88 (assume @p448 (forall @t495 (or (tptp.class_Orderings_Oorder @t494) (not (tptp.class_Orderings_Oorder @t492))))) % 0.47/0.88 (assume @p449 (forall @t495 (or (tptp.class_Orderings_Obot @t494) (not (tptp.class_Orderings_Obot @t492))))) % 0.47/0.88 (assume @p450 (forall @t495 (or (tptp.class_HOL_Ominus @t494) (not (tptp.class_HOL_Ominus @t492))))) % 0.47/0.88 (assume @p451 (forall @t495 (or (tptp.class_HOL_Oord @t494) (not (tptp.class_HOL_Oord @t492))))) % 0.47/0.88 (assume @p452 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.47/0.88 (assume @p453 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.47/0.88 (assume @p454 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.47/0.88 (assume @p455 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.47/0.88 (assume @p456 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.47/0.88 (assume @p457 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.47/0.88 (assume @p458 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.47/0.88 (assume @p459 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.47/0.88 (assume @p460 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.47/0.88 (assume @p461 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.47/0.88 (assume @p462 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.47/0.88 (assume @p463 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.47/0.88 (assume @p464 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.47/0.88 (assume @p465 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.47/0.88 (assume @p466 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.47/0.88 (assume @p467 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.47/0.88 (assume @p468 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.47/0.88 (assume @p469 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.47/0.88 (assume @p470 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.47/0.88 (assume @p471 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.47/0.88 (assume @p472 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.47/0.88 (assume @p473 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.47/0.88 (assume @p474 (forall (@list @t492) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t492)) @t497))) % 0.47/0.88 (assume @p475 (forall @t407 (tptp.hBOOL (tptp.hAPP @t416 @t2)))) % 0.47/0.88 (assume @p476 (forall (@list @t442 @t498 @t1) (or (= @t442 @t498) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t442 @t1) @t498)))))) % 0.47/0.88 (step @p477 :rule eq-symm :args (@t499 @t458)) % 0.47/0.88 (step @p478 :rule refl :args (@t500)) % 0.47/0.88 (step @p479 :rule nary_cong :premises (@p478 @p477) :args (@t502)) % 0.47/0.88 (step @p480 :rule refl :args (@t459)) % 0.47/0.88 (step @p481 :rule cong :premises (@p480 @p479) :args ((=> @t459 @t502))) % 0.47/0.88 (assume-push @p517 @t459) % 0.47/0.88 (step @p483 :rule instantiate :premises (@p388) :args ((@list tptp.v_x))) % 0.47/0.88 (step-pop @p518 :rule scope :premises (@p483)) % 0.47/0.88 (step @p484 :rule process_scope :premises (@p518) :args (@t502)) % 0.47/0.88 (step @p486 :rule eq_resolve :premises (@p484 @p481)) % 0.47/0.88 (step @p487 :rule implies_elim :premises (@p486)) % 0.47/0.88 (step @p488 :rule chain_m_resolution :premises (@p487 @p388) :args (@t504 @t505 (@list @t459))) % 0.47/0.88 (step @p489 :rule refl :args (@t506)) % 0.47/0.88 (step @p490 :rule cong :premises (@p477) :args (@t507)) % 0.47/0.88 (step @p491 :rule nary_cong :premises (@p490 @p489) :args (@t508)) % 0.47/0.88 (step @p492 :rule refl :args (@t436)) % 0.47/0.88 (step @p493 :rule cong :premises (@p492 @p491) :args ((=> @t436 @t508))) % 0.47/0.88 (assume-push @p519 @t436) % 0.47/0.88 (step @p495 :rule instantiate :premises (@p372) :args ((@list tptp.c_Com_Obody tptp.v_x tptp.tc_Com_Ocom tptp.tc_Com_Opname))) % 0.47/0.88 (step-pop @p520 :rule scope :premises (@p495)) % 0.47/0.88 (step @p496 :rule process_scope :premises (@p520) :args (@t508)) % 0.47/0.88 (step @p498 :rule eq_resolve :premises (@p496 @p493)) % 0.47/0.88 (step @p499 :rule implies_elim :premises (@p498)) % 0.47/0.88 (step @p500 :rule chain_m_resolution :premises (@p499 @p372) :args (@t510 @t505 (@list @t436))) % 0.47/0.88 (step @p501 :rule cnf_or_pos :args (@t510)) % 0.47/0.88 (step @p502 :rule reordering :premises (@p501) :args ((or @t506 @t509 (not @t510)))) % 0.47/0.88 (step @p503 :rule chain_m_resolution :premises (@p502 @p438 @p500) :args (@t509 @t511 (@list @t489 @t510))) % 0.47/0.88 (step @p504 :rule quant-miniscope-or :args ((= (forall @t475 @t514) (or @t460 @t462 @t513)))) % 0.47/0.88 (step @p505 :rule aci_norm :args ((= @t474 @t514))) % 0.47/0.88 (step @p506 :rule cong :premises (@p505) :args (@t476)) % 0.47/0.88 (step @p507 :rule trans :premises (@p506 @p504)) % 0.47/0.88 (step @p508 :rule eq_resolve :premises (@p405 @p507)) % 0.47/0.88 (step @p509 :rule chain_m_resolution :premises (@p508 @p436 @p435) :args (@t513 @t511 (@list tptp.c_Com_OWT__bodies tptp.c_Hoare__Mirabelle_Ostate__not__singleton))) % 0.47/0.88 (step @p510 :rule instantiate :premises (@p509) :args ((@list @t490))) % 0.47/0.88 (step @p511 :rule cnf_or_pos :args (@t516)) % 0.47/0.88 (step @p512 :rule reordering :premises (@p511) :args ((or @t491 @t515 (not @t516)))) % 0.47/0.88 (step @p513 :rule chain_m_resolution :premises (@p512 @p439 @p510) :args (@t515 (@list true false) (@list @t491 @t516))) % 0.47/0.88 (step @p514 :rule cnf_or_pos :args (@t504)) % 0.47/0.88 (step @p515 :rule reordering :premises (@p514) :args ((or @t503 @t500 (not @t504)))) % 0.47/0.88 (step @p516 false :rule chain_m_resolution :premises (@p515 @p513 @p503 @p488) :args (false (@list true true false) (@list @t500 @t503 @t504))) % 0.47/0.88 ) % 0.47/0.88 % SZS output end Proof % 0.47/0.88 % cvc5 exiting %------------------------------------------------------------------------------