%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV861-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:02:31 AM UTC 2026 % Result : Unsatisfiable 0.47s 0.92s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV861-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 21:17:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.92 % SZS status Unsatisfiable % 0.47/0.92 % SZS output start Proof % 0.47/0.94 ( % 0.47/0.94 (declare-sort $$unsorted 0) % 0.47/0.94 (declare-const tptp.v_d $$unsorted) % 0.47/0.94 (declare-const tptp.v_s_H $$unsorted) % 0.47/0.94 (declare-const tptp.v_c $$unsorted) % 0.47/0.94 (declare-const tptp.t_c $$unsorted) % 0.47/0.94 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_and (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.v_Z $$unsorted) % 0.47/0.94 (declare-const tptp.v_p $$unsorted) % 0.47/0.94 (declare-const tptp.v_s $$unsorted) % 0.47/0.94 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.v_P $$unsorted) % 0.47/0.94 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.tc_nat $$unsorted) % 0.47/0.94 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.v_Q $$unsorted) % 0.47/0.94 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.v_R $$unsorted) % 0.47/0.94 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.t_b $$unsorted) % 0.47/0.94 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.v_Ga $$unsorted) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.v_s1 $$unsorted) % 0.47/0.94 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.t_a $$unsorted) % 0.47/0.94 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.v_n $$unsorted) % 0.47/0.94 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.47/0.94 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.tc_bool $$unsorted) % 0.47/0.94 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.94 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.47/0.94 (define @t1 () (@var "T_a" $$unsorted)) % 0.47/0.94 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.47/0.94 (define @t3 () (@var "V_B" $$unsorted)) % 0.47/0.94 (define @t4 () (@var "V_A" $$unsorted)) % 0.47/0.94 (define @t5 () (tptp.c_HOL_Oord__class_Oless @t4 @t3 @t2)) % 0.47/0.94 (define @t6 () (not @t5)) % 0.47/0.94 (define @t7 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.47/0.94 (define @t8 () (@list @t4 @t3 @t1)) % 0.47/0.94 (define @t9 () (@var "T_b" $$unsorted)) % 0.47/0.94 (define @t10 () (tptp.tc_fun @t1 @t9)) % 0.47/0.94 (define @t11 () (@var "V_g" $$unsorted)) % 0.47/0.94 (define @t12 () (@var "V_f" $$unsorted)) % 0.47/0.94 (define @t13 () (tptp.c_HOL_Oord__class_Oless @t12 @t11 @t10)) % 0.47/0.94 (define @t14 () (not @t13)) % 0.47/0.94 (define @t15 () (tptp.c_lessequals @t12 @t11 @t10)) % 0.47/0.94 (define @t16 () (not (tptp.class_HOL_Oord @t9))) % 0.47/0.94 (define @t17 () (@list @t9 @t12 @t11 @t1)) % 0.47/0.94 (define @t18 () (@var "V_x" $$unsorted)) % 0.47/0.94 (define @t19 () (@var "V_y" $$unsorted)) % 0.47/0.94 (define @t20 () (tptp.c_lessequals @t19 @t18 @t1)) % 0.47/0.94 (define @t21 () (not @t20)) % 0.47/0.94 (define @t22 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t19 @t1)) % 0.47/0.94 (define @t23 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.47/0.94 (define @t24 () (@list @t1 @t18 @t19)) % 0.47/0.94 (define @t25 () (tptp.c_lessequals @t18 @t19 @t1)) % 0.47/0.94 (define @t26 () (= @t22 @t19)) % 0.47/0.94 (define @t27 () (not @t25)) % 0.47/0.94 (define @t28 () (not @t7)) % 0.47/0.94 (define @t29 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.47/0.94 (define @t30 () (= @t29 @t3)) % 0.47/0.94 (define @t31 () (not (tptp.c_lessequals @t3 @t4 @t2))) % 0.47/0.94 (define @t32 () (tptp.hAPP @t12 @t18)) % 0.47/0.94 (define @t33 () (tptp.c_Fun_Ofun__upd @t12 @t18 @t19 @t9 @t1)) % 0.47/0.94 (define @t34 () (@var "T_aa" $$unsorted)) % 0.47/0.94 (define @t35 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.47/0.94 (define @t36 () (= @t4 @t35)) % 0.47/0.94 (define @t37 () (@list @t4 @t1)) % 0.47/0.94 (define @t38 () (@list @t1)) % 0.47/0.94 (define @t39 () (@var "V_C" $$unsorted)) % 0.47/0.94 (define @t40 () (tptp.c_lessequals @t4 @t39 @t2)) % 0.47/0.94 (define @t41 () (not @t40)) % 0.47/0.94 (define @t42 () (@var "V_D" $$unsorted)) % 0.47/0.94 (define @t43 () (not (tptp.c_lessequals @t3 @t42 @t2))) % 0.47/0.94 (define @t44 () (@list @t4 @t3 @t1 @t39 @t42)) % 0.47/0.94 (define @t45 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.47/0.94 (define @t46 () (tptp.c_lessequals @t39 @t4 @t2)) % 0.47/0.94 (define @t47 () (not @t46)) % 0.47/0.94 (define @t48 () (tptp.c_lessequals @t39 @t3 @t2)) % 0.47/0.94 (define @t49 () (tptp.c_lessequals @t39 @t45 @t2)) % 0.47/0.94 (define @t50 () (@var "V_z" $$unsorted)) % 0.47/0.94 (define @t51 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t18 @t1)) % 0.47/0.94 (define @t52 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t50 @t1)) % 0.47/0.94 (define @t53 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.47/0.94 (define @t54 () (@list @t1 @t19 @t50 @t18)) % 0.47/0.94 (define @t55 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t50 @t1)) % 0.47/0.94 (define @t56 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t55 @t1)) % 0.47/0.94 (define @t57 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t52 @t1)) % 0.47/0.94 (define @t58 () (@list @t1 @t18 @t19 @t50)) % 0.47/0.94 (define @t59 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t39 @t2)) % 0.47/0.94 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t39 @t2)) % 0.47/0.94 (define @t61 () (@list @t4 @t3 @t39 @t1)) % 0.47/0.94 (define @t62 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t4 @t2)) % 0.47/0.94 (define @t63 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 0.47/0.94 (define @t64 () (@list @t3 @t39 @t1 @t4)) % 0.47/0.94 (define @t65 () (tptp.c_lessequals @t22 @t50 @t1)) % 0.47/0.94 (define @t66 () (not @t65)) % 0.47/0.94 (define @t67 () (tptp.c_lessequals @t19 @t50 @t1)) % 0.47/0.94 (define @t68 () (tptp.c_lessequals @t18 @t50 @t1)) % 0.47/0.94 (define @t69 () (@list @t1 @t18 @t50 @t19)) % 0.47/0.94 (define @t70 () (@var "V_b" $$unsorted)) % 0.47/0.94 (define @t71 () (tptp.c_lessequals @t18 @t70 @t1)) % 0.47/0.94 (define @t72 () (not @t71)) % 0.47/0.94 (define @t73 () (@var "V_a" $$unsorted)) % 0.47/0.94 (define @t74 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t70 @t1)) % 0.47/0.94 (define @t75 () (tptp.c_lessequals @t18 @t74 @t1)) % 0.47/0.94 (define @t76 () (@list @t1 @t18 @t73 @t70)) % 0.47/0.94 (define @t77 () (tptp.c_lessequals @t18 @t73 @t1)) % 0.47/0.94 (define @t78 () (not @t77)) % 0.47/0.94 (define @t79 () (tptp.c_lessequals @t74 @t18 @t1)) % 0.47/0.94 (define @t80 () (not @t79)) % 0.47/0.94 (define @t81 () (tptp.c_lessequals @t70 @t18 @t1)) % 0.47/0.94 (define @t82 () (tptp.c_lessequals @t73 @t18 @t1)) % 0.47/0.94 (define @t83 () (tptp.c_lessequals @t29 @t39 @t2)) % 0.47/0.94 (define @t84 () (not @t83)) % 0.47/0.94 (define @t85 () (@list @t4 @t39 @t1 @t3)) % 0.47/0.94 (define @t86 () (tptp.c_lessequals @t3 @t39 @t2)) % 0.47/0.94 (define @t87 () (@list @t18 @t1)) % 0.47/0.94 (define @t88 () (not @t86)) % 0.47/0.94 (define @t89 () (tptp.c_Fun_Oinj__on @t12 @t3 @t1 @t9)) % 0.47/0.94 (define @t90 () (not @t89)) % 0.47/0.94 (define @t91 () (tptp.c_Fun_Oinj__on @t12 @t4 @t1 @t9)) % 0.47/0.94 (define @t92 () (@list @t12 @t4 @t1 @t9 @t3)) % 0.47/0.94 (define @t93 () (@var "V_Q" $$unsorted)) % 0.47/0.94 (define @t94 () (@var "V_P" $$unsorted)) % 0.47/0.94 (define @t95 () (not (tptp.c_lessequals @t94 @t93 @t2))) % 0.47/0.94 (define @t96 () (tptp.hBOOL (tptp.hAPP @t94 @t18))) % 0.47/0.94 (define @t97 () (not @t96)) % 0.47/0.94 (define @t98 () (tptp.hBOOL (tptp.hAPP @t93 @t18))) % 0.47/0.94 (define @t99 () (@list @t93 @t18 @t94 @t1)) % 0.47/0.94 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t4 @t39 @t2)) % 0.47/0.94 (define @t101 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t39 @t2))) % 0.47/0.94 (define @t102 () (@var "V_M" $$unsorted)) % 0.47/0.94 (define @t103 () (tptp.tc_fun @t9 tptp.tc_bool)) % 0.47/0.94 (define @t104 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t103)) % 0.47/0.94 (define @t105 () (= @t50 @t18)) % 0.47/0.94 (define @t106 () (tptp.hAPP @t12 @t50)) % 0.47/0.94 (define @t107 () (tptp.c_Fun_Ofun__upd @t12 @t18 @t19 @t1 @t9)) % 0.47/0.94 (define @t108 () (@list @t12 @t18 @t19 @t1 @t9 @t50)) % 0.47/0.94 (define @t109 () (tptp.c_HOL_Ominus__class_Ominus @t2)) % 0.47/0.94 (define @t110 () (tptp.hAPP @t109 @t39)) % 0.47/0.94 (define @t111 () (tptp.hAPP @t109 @t3)) % 0.47/0.94 (define @t112 () (tptp.c_Set_Oimage @t12 @t3 @t1 @t9)) % 0.47/0.94 (define @t113 () (tptp.c_Set_Oimage @t12 @t4 @t1 @t9)) % 0.47/0.94 (define @t114 () (tptp.c_Set_Oimage @t12 @t4 @t9 @t1)) % 0.47/0.94 (define @t115 () (= @t4 @t3)) % 0.47/0.94 (define @t116 () (tptp.c_Set_Oimage @t12 @t3 @t9 @t1)) % 0.47/0.94 (define @t117 () (@list @t12 @t4 @t3 @t9 @t1)) % 0.47/0.94 (define @t118 () (tptp.c_in @t1)) % 0.47/0.94 (define @t119 () (tptp.hAPP @t118 @t18)) % 0.47/0.94 (define @t120 () (tptp.hBOOL (tptp.hAPP @t119 @t4))) % 0.47/0.94 (define @t121 () (tptp.hAPP @t32 @t19)) % 0.47/0.94 (define @t122 () (tptp.c_Set_Oinsert @t18 @t4 @t1)) % 0.47/0.94 (define @t123 () (tptp.c_Set_Oinsert @t18 @t3 @t1)) % 0.47/0.94 (define @t124 () (tptp.c_lessequals @t4 @t123 @t2)) % 0.47/0.94 (define @t125 () (not @t124)) % 0.47/0.94 (define @t126 () (@list @t4 @t3 @t1 @t18)) % 0.47/0.94 (define @t127 () (@list @t4 @t18 @t3 @t1)) % 0.47/0.94 (define @t128 () (tptp.c_lessequals @t122 @t3 @t2)) % 0.47/0.94 (define @t129 () (not @t128)) % 0.47/0.94 (define @t130 () (tptp.hBOOL (tptp.hAPP @t119 @t3))) % 0.47/0.94 (define @t131 () (@list @t1 @t18 @t3 @t4)) % 0.47/0.94 (define @t132 () (not @t130)) % 0.47/0.94 (define @t133 () (@list @t18 @t4 @t1 @t3)) % 0.47/0.94 (define @t134 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t50 @t1)) % 0.47/0.94 (define @t135 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t134 @t1)) % 0.47/0.94 (define @t136 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t50 @t1)) % 0.47/0.94 (define @t137 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t19 @t1)) % 0.47/0.94 (define @t138 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t136 @t1)) % 0.47/0.94 (define @t139 () (not (tptp.class_Lattices_Olattice @t1))) % 0.47/0.94 (define @t140 () (tptp.c_in @t9)) % 0.47/0.94 (define @t141 () (tptp.hAPP @t140 @t18)) % 0.47/0.94 (define @t142 () (tptp.hBOOL (tptp.hAPP @t141 @t4))) % 0.47/0.94 (define @t143 () (not @t142)) % 0.47/0.94 (define @t144 () (tptp.hAPP @t118 @t32)) % 0.47/0.94 (define @t145 () (tptp.c_Set_Oimage @t33 @t4 @t9 @t1)) % 0.47/0.94 (define @t146 () (@list @t12 @t18 @t19 @t9 @t1 @t4)) % 0.47/0.94 (define @t147 () (tptp.hAPP @t118 @t73)) % 0.47/0.94 (define @t148 () (tptp.hBOOL (tptp.hAPP @t147 @t4))) % 0.47/0.94 (define @t149 () (not @t148)) % 0.47/0.94 (define @t150 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t3 @t1 @t103)) % 0.47/0.94 (define @t151 () (tptp.hAPP @t3 @t73)) % 0.47/0.94 (define @t152 () (@var "V_I" $$unsorted)) % 0.47/0.94 (define @t153 () (tptp.hAPP @t4 @t18)) % 0.47/0.94 (define @t154 () (@var "V_k" $$unsorted)) % 0.47/0.94 (define @t155 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t152 @t4 @t1 @t103)) % 0.47/0.94 (define @t156 () (tptp.c_Set_Oinsert @t73 @t35 @t1)) % 0.47/0.94 (define @t157 () (tptp.c_Set_Oinsert @t73 @t4 @t1)) % 0.47/0.94 (define @t158 () (@list @t73 @t4 @t1)) % 0.47/0.94 (define @t159 () (tptp.c_Set_Oinsert @t18 @t35 @t1)) % 0.47/0.94 (define @t160 () (@var "V_S" $$unsorted)) % 0.47/0.94 (define @t161 () (tptp.c_COMBC @t118 @t1 @t2 tptp.tc_bool)) % 0.47/0.94 (define @t162 () (tptp.hAPP @t161 @t160)) % 0.47/0.94 (define @t163 () (@var "V_R" $$unsorted)) % 0.47/0.94 (define @t164 () (tptp.hAPP @t161 @t163)) % 0.47/0.94 (define @t165 () (tptp.c_lessequals @t164 @t162 @t2)) % 0.47/0.94 (define @t166 () (tptp.c_lessequals @t163 @t160 @t2)) % 0.47/0.94 (define @t167 () (@list @t1 @t163 @t160)) % 0.47/0.94 (define @t168 () (tptp.c_Orderings_Obot__class_Obot @t103)) % 0.47/0.94 (define @t169 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t168 @t3 @t9 @t2)) % 0.47/0.94 (define @t170 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t3 @t9 @t2)) % 0.47/0.94 (define @t171 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t103)) % 0.47/0.94 (define @t172 () (@var "T_c" $$unsorted)) % 0.47/0.94 (define @t173 () (tptp.c_Fun_Oinj__on @t12 @t29 @t1 @t9)) % 0.47/0.94 (define @t174 () (not @t173)) % 0.47/0.94 (define @t175 () (not @t91)) % 0.47/0.94 (define @t176 () (tptp.c_HOL_Ominus__class_Ominus @t103)) % 0.47/0.94 (define @t177 () (tptp.hAPP @t176 @t4)) % 0.47/0.94 (define @t178 () (tptp.hAPP @t177 @t3)) % 0.47/0.94 (define @t179 () (tptp.hAPP @t109 @t4)) % 0.47/0.94 (define @t180 () (tptp.hAPP @t179 @t3)) % 0.47/0.94 (define @t181 () (@list @t1 @t4 @t3)) % 0.47/0.94 (define @t182 () (tptp.hAPP @t179 @t39)) % 0.47/0.94 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t39 @t2)) % 0.47/0.94 (define @t184 () (@list @t1 @t4 @t3 @t39)) % 0.47/0.94 (define @t185 () (tptp.c_Set_Ovimage @t12 @t4 @t9 @t1)) % 0.47/0.94 (define @t186 () (@list @t12 @t4 @t9 @t1)) % 0.47/0.94 (define @t187 () (not @t15)) % 0.47/0.94 (define @t188 () (tptp.c_lessequals @t11 @t12 @t10)) % 0.47/0.94 (define @t189 () (@list @t1 @t3)) % 0.47/0.94 (define @t190 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.47/0.94 (define @t191 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.47/0.94 (define @t192 () (@list @t1 @t18)) % 0.47/0.94 (define @t193 () (tptp.hBOOL @t153)) % 0.47/0.94 (define @t194 () (not @t193)) % 0.47/0.94 (define @t195 () (tptp.hBOOL (tptp.hAPP @t29 @t18))) % 0.47/0.94 (define @t196 () (tptp.hAPP @t3 @t18)) % 0.47/0.94 (define @t197 () (tptp.hBOOL @t196)) % 0.47/0.94 (define @t198 () (not @t197)) % 0.47/0.94 (define @t199 () (@list @t3 @t18 @t4 @t1)) % 0.47/0.94 (define @t200 () (@var "V_c" $$unsorted)) % 0.47/0.94 (define @t201 () (= @t73 @t200)) % 0.47/0.94 (define @t202 () (@var "V_d" $$unsorted)) % 0.47/0.94 (define @t203 () (@var "V_m" $$unsorted)) % 0.47/0.94 (define @t204 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t183 @t2)) % 0.47/0.94 (define @t205 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t39 @t2) @t204)) % 0.47/0.94 (define @t206 () (@list @t4 @t3 @t1 @t39)) % 0.47/0.94 (define @t207 () (tptp.c_Set_Oinsert @t73 @t3 @t1)) % 0.47/0.94 (define @t208 () (@list @t1 @t4)) % 0.47/0.94 (define @t209 () (@list @t4 @t73 @t3 @t1)) % 0.47/0.94 (define @t210 () (@list @t73 @t3 @t1 @t39)) % 0.47/0.94 (define @t211 () (tptp.c_HOL_Ominus__class_Ominus @t1)) % 0.47/0.94 (define @t212 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.47/0.94 (define @t213 () (tptp.c_Set_Oinsert @t70 @t3 @t1)) % 0.47/0.94 (define @t214 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t4 @t2)) % 0.47/0.94 (define @t215 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 0.47/0.94 (define @t216 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t39 @t2)) % 0.47/0.94 (define @t217 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t18 @t1)) % 0.47/0.94 (define @t218 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t183 @t2)) % 0.47/0.94 (define @t219 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t134 @t1)) % 0.47/0.94 (define @t220 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t50 @t1) @t219)) % 0.47/0.94 (define @t221 () (= @t219 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t55 @t1))) % 0.47/0.94 (define @t222 () (not @t82)) % 0.47/0.94 (define @t223 () (not @t81)) % 0.47/0.94 (define @t224 () (@list @t1 @t73 @t70 @t18)) % 0.47/0.94 (define @t225 () (tptp.c_lessequals @t18 @t22 @t1)) % 0.47/0.94 (define @t226 () (tptp.c_lessequals @t19 @t22 @t1)) % 0.47/0.94 (define @t227 () (@list @t1 @t19 @t18)) % 0.47/0.94 (define @t228 () (tptp.c_lessequals @t50 @t18 @t1)) % 0.47/0.94 (define @t229 () (not @t68)) % 0.47/0.94 (define @t230 () (not @t67)) % 0.47/0.94 (define @t231 () (tptp.hAPP @t111 @t4)) % 0.47/0.94 (define @t232 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t231 @t2)) % 0.47/0.94 (define @t233 () (@list @t4 @t1 @t3)) % 0.47/0.94 (define @t234 () (@list @t12 @t50 @t1 @t9)) % 0.47/0.94 (define @t235 () (tptp.c_Set_Ovimage @t12 @t3 @t9 @t1)) % 0.47/0.94 (define @t236 () (not (= @t29 @t35))) % 0.47/0.94 (define @t237 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1) @t190))) % 0.47/0.94 (define @t238 () (not @t49)) % 0.47/0.94 (define @t239 () (tptp.hAPP @t111 @t39)) % 0.47/0.94 (define @t240 () (= @t22 @t51)) % 0.47/0.94 (define @t241 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t22 @t1) @t22)) % 0.47/0.94 (define @t242 () (tptp.c_Set_Ovimage @t12 @t3 @t1 @t9)) % 0.47/0.94 (define @t243 () (tptp.c_Set_Ovimage @t12 @t4 @t1 @t9)) % 0.47/0.94 (define @t244 () (tptp.c_lessequals @t4 @t183 @t2)) % 0.47/0.94 (define @t245 () (tptp.c_lessequals @t180 @t39 @t2)) % 0.47/0.94 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t18 @t74 @t1)) % 0.47/0.94 (define @t247 () (@var "V_t" $$unsorted)) % 0.47/0.94 (define @t248 () (tptp.hAPP @t118 @t247)) % 0.47/0.94 (define @t249 () (not @t120)) % 0.47/0.94 (define @t250 () (tptp.hAPP @t118 @t200)) % 0.47/0.94 (define @t251 () (tptp.hBOOL (tptp.hAPP @t250 @t4))) % 0.47/0.94 (define @t252 () (not @t251)) % 0.47/0.94 (define @t253 () (tptp.hBOOL (tptp.hAPP @t250 @t3))) % 0.47/0.94 (define @t254 () (@list @t1 @t200 @t3 @t4)) % 0.47/0.94 (define @t255 () (tptp.hBOOL (tptp.hAPP @t250 @t29))) % 0.47/0.94 (define @t256 () (@list @t1 @t200 @t4 @t3)) % 0.47/0.94 (define @t257 () (not @t253)) % 0.47/0.94 (define @t258 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 @t4 @t3 @t94 @t1)) % 0.47/0.94 (define @t259 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t258) @t29))) % 0.47/0.94 (define @t260 () (@var "V_xa" $$unsorted)) % 0.47/0.94 (define @t261 () (tptp.hAPP @t118 @t260)) % 0.47/0.94 (define @t262 () (not (tptp.hBOOL (tptp.hAPP @t261 @t4)))) % 0.47/0.94 (define @t263 () (tptp.hBOOL (tptp.hAPP @t94 @t260))) % 0.47/0.94 (define @t264 () (not @t263)) % 0.47/0.94 (define @t265 () (@var "V_ts" $$unsorted)) % 0.47/0.94 (define @t266 () (@var "V_G" $$unsorted)) % 0.47/0.94 (define @t267 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__3 @t266 @t265)) % 0.47/0.94 (define @t268 () (tptp.c_in (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a))) % 0.47/0.94 (define @t269 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t266 @t265 tptp.t_a)) % 0.47/0.94 (define @t270 () (@list @t266 @t265)) % 0.47/0.94 (define @t271 () (tptp.c_fequal @t1)) % 0.47/0.94 (define @t272 () (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC @t271 @t1 @t1 tptp.tc_bool) @t73) @t1)) % 0.47/0.94 (define @t273 () (tptp.hAPP @t179 @t159)) % 0.47/0.95 (define @t274 () (tptp.c_lessequals @t273 @t3 @t2)) % 0.47/0.95 (define @t275 () (not @t274)) % 0.47/0.95 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t4 @t123 @t2)) % 0.47/0.95 (define @t277 () (not @t276)) % 0.47/0.95 (define @t278 () (not (tptp.c_Fun_Oinj__on @t12 @t39 @t1 @t9))) % 0.47/0.95 (define @t279 () (tptp.c_Set_Oinsert @t73 @t3 @t9)) % 0.47/0.95 (define @t280 () (@list @t12 @t73 @t3 @t9 @t1)) % 0.47/0.95 (define @t281 () (tptp.c_Set_Oimage @t12 @t180 @t1 @t9)) % 0.47/0.95 (define @t282 () (tptp.hAPP @t109 @t122)) % 0.47/0.95 (define @t283 () (tptp.hAPP @t282 @t3)) % 0.47/0.95 (define @t284 () (@list @t1 @t18 @t4 @t3)) % 0.47/0.95 (define @t285 () (@var "V_Y" $$unsorted)) % 0.47/0.95 (define @t286 () (tptp.c_COMBI @t1)) % 0.47/0.95 (define @t287 () (@list @t1 @t285)) % 0.47/0.95 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t273 @t3 @t2)) % 0.47/0.95 (define @t289 () (@list @t1 @t4 @t18 @t3)) % 0.47/0.95 (define @t290 () (not @t288)) % 0.47/0.95 (define @t291 () (@var "V_com_H" $$unsorted)) % 0.47/0.95 (define @t292 () (@var "V_fun_H" $$unsorted)) % 0.47/0.95 (define @t293 () (tptp.c_Com_Ocom_OWhile @t292 @t291)) % 0.47/0.95 (define @t294 () (@list @t292 @t291)) % 0.47/0.95 (define @t295 () (@list @t12 @t1 @t4 @t3 @t9)) % 0.47/0.95 (define @t296 () (= @t4 @t168)) % 0.47/0.95 (define @t297 () (@var "V_s" $$unsorted)) % 0.47/0.95 (define @t298 () (tptp.hBOOL (tptp.hAPP @t70 @t297))) % 0.47/0.95 (define @t299 () (tptp.c_Com_Ocom_OWhile @t70 @t200)) % 0.47/0.95 (define @t300 () (tptp.c_Collect @t94 @t1)) % 0.47/0.95 (define @t301 () (@var "V_com2_H" $$unsorted)) % 0.47/0.95 (define @t302 () (@var "V_com2" $$unsorted)) % 0.47/0.95 (define @t303 () (= @t302 @t301)) % 0.47/0.95 (define @t304 () (@var "V_com1_H" $$unsorted)) % 0.47/0.95 (define @t305 () (tptp.c_Com_Ocom_OSemi @t304 @t301)) % 0.47/0.95 (define @t306 () (@var "V_com1" $$unsorted)) % 0.47/0.95 (define @t307 () (tptp.c_Com_Ocom_OSemi @t306 @t302)) % 0.47/0.95 (define @t308 () (not (= @t307 @t305))) % 0.47/0.95 (define @t309 () (@list @t306 @t302 @t304 @t301)) % 0.47/0.95 (define @t310 () (= @t306 @t304)) % 0.47/0.95 (define @t311 () (tptp.hAPP @t109 @t180)) % 0.47/0.95 (define @t312 () (tptp.hAPP @t179 @t207)) % 0.47/0.95 (define @t313 () (@list @t1 @t4 @t73 @t3)) % 0.47/0.95 (define @t314 () (tptp.hAPP @t179 @t156)) % 0.47/0.95 (define @t315 () (tptp.c_Com_Ocom_OCond @t292 @t304 @t301)) % 0.47/0.95 (define @t316 () (tptp.hAPP @t12 @t73)) % 0.47/0.95 (define @t317 () (tptp.c_in @t34)) % 0.47/0.95 (define @t318 () (tptp.c_Set_Oinsert @t73 @t45 @t1)) % 0.47/0.95 (define @t319 () (@list @t18 @t4 @t1)) % 0.47/0.95 (define @t320 () (tptp.c_Set_Oinsert @t19 @t4 @t1)) % 0.47/0.95 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 @t18))) % 0.47/0.95 (define @t322 () (= @t196 @t35)) % 0.47/0.95 (define @t323 () (@var "V_fun" $$unsorted)) % 0.47/0.95 (define @t324 () (tptp.c_Com_Ocom_OCond @t323 @t306 @t302)) % 0.47/0.95 (define @t325 () (@var "V_top" $$unsorted)) % 0.47/0.95 (define @t326 () (@var "V_bot" $$unsorted)) % 0.47/0.95 (define @t327 () (@var "V_sup" $$unsorted)) % 0.47/0.95 (define @t328 () (@var "V_inf" $$unsorted)) % 0.47/0.95 (define @t329 () (@var "V_less" $$unsorted)) % 0.47/0.95 (define @t330 () (@var "V_less__eq" $$unsorted)) % 0.47/0.95 (define @t331 () (@var "V_Sup" $$unsorted)) % 0.47/0.95 (define @t332 () (@var "V_Inf" $$unsorted)) % 0.47/0.95 (define @t333 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t332 @t331 @t330 @t329 @t328 @t327 @t326 @t325 @t1))) % 0.47/0.95 (define @t334 () (tptp.hAPP @t327 @t73)) % 0.47/0.95 (define @t335 () (tptp.c_Set_Oinsert @t70 @t35 @t1)) % 0.47/0.95 (define @t336 () (tptp.c_Set_Oinsert @t73 @t335 @t1)) % 0.47/0.95 (define @t337 () (tptp.hAPP @t328 @t73)) % 0.47/0.95 (define @t338 () (not (= @t324 @t315))) % 0.47/0.95 (define @t339 () (@list @t323 @t306 @t302 @t292 @t304 @t301)) % 0.47/0.95 (define @t340 () (= @t323 @t292)) % 0.47/0.95 (define @t341 () (= @t18 @t19)) % 0.47/0.95 (define @t342 () (@var "V_nat_H" $$unsorted)) % 0.47/0.95 (define @t343 () (@var "V_nat" $$unsorted)) % 0.47/0.95 (define @t344 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t52 @t1)) % 0.47/0.95 (define @t345 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t50 @t1) @t344)) % 0.47/0.95 (define @t346 () (= @t344 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t136 @t1))) % 0.47/0.95 (define @t347 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.47/0.95 (define @t348 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t60 @t2)) % 0.47/0.95 (define @t349 () (tptp.hAPP @t109 @t216)) % 0.47/0.95 (define @t350 () (tptp.hAPP @t349 @t60)) % 0.47/0.95 (define @t351 () (tptp.c_COMBK @t200 @t1 @t9)) % 0.47/0.95 (define @t352 () (not (= @t45 @t35))) % 0.47/0.95 (define @t353 () (tptp.c_HOL_Oord__class_Oless @t18 @t19 @t1)) % 0.47/0.95 (define @t354 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.47/0.95 (define @t355 () (tptp.c_HOL_Oord__class_Oless @t18 @t18 @t1)) % 0.47/0.95 (define @t356 () (not @t355)) % 0.47/0.95 (define @t357 () (not (tptp.class_Orderings_Oorder @t1))) % 0.47/0.95 (define @t358 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.47/0.95 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 @t1)) % 0.47/0.95 (define @t360 () (@var "V_n" $$unsorted)) % 0.47/0.95 (define @t361 () (tptp.c_lessequals @t203 @t360 tptp.tc_nat)) % 0.47/0.95 (define @t362 () (not @t361)) % 0.47/0.95 (define @t363 () (tptp.c_lessequals @t360 @t203 tptp.tc_nat)) % 0.47/0.95 (define @t364 () (not @t363)) % 0.47/0.95 (define @t365 () (@list @t203 @t360)) % 0.47/0.95 (define @t366 () (tptp.c_Natural_Oevalc @t200 @t297 @t247)) % 0.47/0.95 (define @t367 () (@var "V_u" $$unsorted)) % 0.47/0.95 (define @t368 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t281 (tptp.c_Set_Oimage @t12 @t231 @t1 @t9) @t103) @t168)) % 0.47/0.95 (define @t369 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 @t266 @t265)) % 0.47/0.95 (define @t370 () (@list @t12 @t50 @t4 @t18 @t19 @t1 @t9)) % 0.47/0.95 (define @t371 () (tptp.hBOOL (tptp.hAPP @t119 @t35))) % 0.47/0.95 (define @t372 () (@var "V_i" $$unsorted)) % 0.47/0.95 (define @t373 () (tptp.hAPP @t118 @t372)) % 0.47/0.95 (define @t374 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t9))) % 0.47/0.95 (define @t375 () (tptp.c_Fun_Oinj__on @t12 @t157 @t1 @t9)) % 0.47/0.95 (define @t376 () (not @t375)) % 0.47/0.95 (define @t377 () (tptp.c_COMBK @t200 @t9 @t1)) % 0.47/0.95 (define @t378 () (tptp.hAPP @t118 @t70)) % 0.47/0.95 (define @t379 () (tptp.hBOOL (tptp.hAPP @t119 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t300 @t2)))) % 0.47/0.95 (define @t380 () (not @t379)) % 0.47/0.95 (define @t381 () (not @t353)) % 0.47/0.95 (define @t382 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t50 @t1))) % 0.47/0.95 (define @t383 () (tptp.c_HOL_Oord__class_Oless @t18 @t50 @t1)) % 0.47/0.95 (define @t384 () (not @t359)) % 0.47/0.95 (define @t385 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t19 @t1))) % 0.47/0.95 (define @t386 () (tptp.c_HOL_Oord__class_Oless @t50 @t18 @t1)) % 0.47/0.95 (define @t387 () (@list @t1 @t50 @t18 @t19)) % 0.47/0.95 (define @t388 () (tptp.hAPP @t140 @t316)) % 0.47/0.95 (define @t389 () (tptp.hBOOL (tptp.hAPP @t388 (tptp.c_Set_Oimage @t12 @t314 @t1 @t9)))) % 0.47/0.95 (define @t390 () (tptp.hAPP @t93 @t163)) % 0.47/0.95 (define @t391 () (tptp.hAPP @t94 @t163)) % 0.47/0.95 (define @t392 () (tptp.c_lessequals @t18 @t18 @t1)) % 0.47/0.95 (define @t393 () (@var "V_s0" $$unsorted)) % 0.47/0.95 (define @t394 () (not (tptp.hBOOL (tptp.hAPP @t70 @t393)))) % 0.47/0.95 (define @t395 () (@var "V_s1" $$unsorted)) % 0.47/0.95 (define @t396 () (@var "V_s2" $$unsorted)) % 0.47/0.95 (define @t397 () (tptp.hAPP @t211 @t18)) % 0.47/0.95 (define @t398 () (tptp.hAPP @t397 @t18)) % 0.47/0.95 (define @t399 () (@var "V_y_H" $$unsorted)) % 0.47/0.95 (define @t400 () (@var "V_x_H" $$unsorted)) % 0.47/0.95 (define @t401 () (tptp.hAPP (tptp.hAPP @t211 @t400) @t399)) % 0.47/0.95 (define @t402 () (tptp.c_Set_Oimage @t12 @t168 @t9 @t1)) % 0.47/0.95 (define @t403 () (@list @t12 @t9 @t1)) % 0.47/0.95 (define @t404 () (not @t298)) % 0.47/0.95 (define @t405 () (@var "V_c0" $$unsorted)) % 0.47/0.95 (define @t406 () (@var "V_c1" $$unsorted)) % 0.47/0.95 (define @t407 () (tptp.c_Com_Ocom_OCond @t70 @t405 @t406)) % 0.47/0.95 (define @t408 () (tptp.c_Natural_Oevalc @t407 @t297 @t395)) % 0.47/0.95 (define @t409 () (@list @t70 @t405 @t406 @t297 @t395)) % 0.47/0.95 (define @t410 () (@var "V_c2" $$unsorted)) % 0.47/0.95 (define @t411 () (tptp.c_Com_Ocom_OCond @t70 @t406 @t410)) % 0.47/0.95 (define @t412 () (not (tptp.c_Natural_Oevalc @t411 @t297 @t247))) % 0.47/0.95 (define @t413 () (tptp.c_Natural_Oevalc @t406 @t297 @t247)) % 0.47/0.95 (define @t414 () (tptp.c_Com_Ocom_OSemi @t405 @t406)) % 0.47/0.95 (define @t415 () (= @t137 @t18)) % 0.47/0.95 (define @t416 () (= @t137 @t217)) % 0.47/0.95 (define @t417 () (@list @t292 @t304 @t301)) % 0.47/0.95 (define @t418 () (tptp.c_Set_Oinsert @t73 @t314 @t1)) % 0.47/0.95 (define @t419 () (@list @t73 @t1 @t4)) % 0.47/0.95 (define @t420 () (= @t73 @t70)) % 0.47/0.95 (define @t421 () (tptp.c_Suc @t360)) % 0.47/0.95 (define @t422 () (tptp.c_lessequals @t421 @t203 tptp.tc_nat)) % 0.47/0.95 (define @t423 () (@list @t360 @t203)) % 0.47/0.95 (define @t424 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t207 @t2)) % 0.47/0.95 (define @t425 () (tptp.hBOOL (tptp.hAPP @t147 @t39))) % 0.47/0.95 (define @t426 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t207 @t39 @t2)) % 0.47/0.95 (define @t427 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t73 @t70 @t1)) % 0.47/0.95 (define @t428 () (tptp.c_lessequals @t18 @t427 @t1)) % 0.47/0.95 (define @t429 () (not @t428)) % 0.47/0.95 (define @t430 () (tptp.c_lessequals @t427 @t18 @t1)) % 0.47/0.95 (define @t431 () (tptp.c_lessequals @t18 @t52 @t1)) % 0.47/0.95 (define @t432 () (not @t431)) % 0.47/0.95 (define @t433 () (@var "V_com" $$unsorted)) % 0.47/0.95 (define @t434 () (not (= (tptp.c_Com_Ocom_OWhile @t323 @t433) @t293))) % 0.47/0.95 (define @t435 () (@list @t323 @t433 @t292 @t291)) % 0.47/0.95 (define @t436 () (= @t433 @t291)) % 0.47/0.95 (define @t437 () (@list @t360)) % 0.47/0.95 (define @t438 () (@list @t1 @t18 @t4 @t94)) % 0.47/0.95 (define @t439 () (tptp.c_lessequals @t203 @t421 tptp.tc_nat)) % 0.47/0.95 (define @t440 () (tptp.hBOOL (tptp.hAPP @t45 @t18))) % 0.47/0.95 (define @t441 () (not @t440)) % 0.47/0.95 (define @t442 () (@list @t1 @t18 @t4)) % 0.47/0.95 (define @t443 () (= @t247 @t297)) % 0.47/0.95 (define @t444 () (tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 @t4 @t94 @t1)) % 0.47/0.95 (define @t445 () (tptp.hBOOL (tptp.hAPP @t94 @t444))) % 0.47/0.95 (define @t446 () (tptp.hBOOL (tptp.hAPP @t250 @t45))) % 0.47/0.95 (define @t447 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 @t4 @t94 @t1)) % 0.47/0.95 (define @t448 () (not (tptp.hBOOL (tptp.hAPP @t94 @t447)))) % 0.47/0.95 (define @t449 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 @t4 @t93 @t1)) % 0.47/0.95 (define @t450 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t449) @t4))) % 0.47/0.95 (define @t451 () (@var "V_xb" $$unsorted)) % 0.47/0.95 (define @t452 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t451) @t4)))) % 0.47/0.95 (define @t453 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t447) @t4))) % 0.47/0.95 (define @t454 () (not (tptp.hBOOL (tptp.hAPP @t93 @t449)))) % 0.47/0.95 (define @t455 () (@var "V_l" $$unsorted)) % 0.47/0.95 (define @t456 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t330 @t455) @t372))) % 0.47/0.95 (define @t457 () (not @t456)) % 0.47/0.95 (define @t458 () (tptp.hAPP @t329 @t372)) % 0.47/0.95 (define @t459 () (tptp.hBOOL (tptp.hAPP @t458 @t367))) % 0.47/0.95 (define @t460 () (not @t459)) % 0.47/0.95 (define @t461 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OatLeastLessThan @t330 @t329 @t455 @t367 @t1)))) % 0.47/0.95 (define @t462 () (@list @t1 @t372 @t330 @t329 @t455 @t367)) % 0.47/0.95 (define @t463 () (tptp.hBOOL (tptp.hAPP @t147 (tptp.c_Set_Oinsert @t70 @t4 @t1)))) % 0.47/0.95 (define @t464 () (tptp.hAPP @t330 @t372)) % 0.47/0.95 (define @t465 () (tptp.hBOOL (tptp.hAPP @t464 @t367))) % 0.47/0.95 (define @t466 () (not @t465)) % 0.47/0.95 (define @t467 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OatLeastAtMost @t330 @t455 @t367 @t1)))) % 0.47/0.95 (define @t468 () (tptp.hBOOL (tptp.hAPP @t94 @t73))) % 0.47/0.95 (define @t469 () (not @t468)) % 0.47/0.95 (define @t470 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t444) @t4))) % 0.47/0.95 (define @t471 () (not @t371)) % 0.47/0.95 (define @t472 () (@list @t94 @t18 @t1)) % 0.47/0.95 (define @t473 () (@list @t1 @t73)) % 0.47/0.95 (define @t474 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 @t455) @t372))) % 0.47/0.95 (define @t475 () (not @t474)) % 0.47/0.95 (define @t476 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t329 @t455 @t367 @t1)))) % 0.47/0.95 (define @t477 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t330 @t329 @t455 @t367 @t1)))) % 0.47/0.95 (define @t478 () (tptp.hBOOL (tptp.hAPP @t250 @t180))) % 0.47/0.95 (define @t479 () (not @t478)) % 0.47/0.95 (define @t480 () (tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 @t4 @t94 @t1)) % 0.47/0.95 (define @t481 () (@list @t94 @t4 @t1 @t18)) % 0.47/0.95 (define @t482 () (tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 @t4 @t94 @t1)) % 0.47/0.95 (define @t483 () (tptp.c_HOL_Oord__class_Oless @t427 @t18 @t1)) % 0.47/0.95 (define @t484 () (= @t73 @t202)) % 0.47/0.95 (define @t485 () (not (= @t336 (tptp.c_Set_Oinsert @t200 (tptp.c_Set_Oinsert @t202 @t35 @t1) @t1)))) % 0.47/0.95 (define @t486 () (@list @t73 @t70 @t1 @t200 @t202)) % 0.47/0.95 (define @t487 () (= @t70 @t200)) % 0.47/0.95 (define @t488 () (= @t70 @t202)) % 0.47/0.95 (define @t489 () (tptp.c_Natural_Oevalc @t410 @t297 @t247)) % 0.47/0.95 (define @t490 () (@var "V_fun1_H" $$unsorted)) % 0.47/0.95 (define @t491 () (@var "V_fun1" $$unsorted)) % 0.47/0.95 (define @t492 () (@var "V_fun2_H" $$unsorted)) % 0.47/0.95 (define @t493 () (@var "V_fun2" $$unsorted)) % 0.47/0.95 (define @t494 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t491 @t433 @t493 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t490 @t291 @t492 @t1)))) % 0.47/0.95 (define @t495 () (@list @t491 @t433 @t493 @t1 @t490 @t291 @t492)) % 0.47/0.95 (define @t496 () (tptp.hAPP @t331 @t4)) % 0.47/0.95 (define @t497 () (tptp.hAPP @t332 @t4)) % 0.47/0.95 (define @t498 () (not (tptp.hBOOL (tptp.hAPP @t261 @t196)))) % 0.47/0.95 (define @t499 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 @t4 @t3 @t94 @t9 @t1)) % 0.47/0.95 (define @t500 () (tptp.c_lessequals @t137 @t18 @t1)) % 0.47/0.95 (define @t501 () (tptp.c_lessequals @t137 @t19 @t1)) % 0.47/0.95 (define @t502 () (@list @t304 @t301)) % 0.47/0.95 (define @t503 () (tptp.c_Suc @t203)) % 0.47/0.95 (define @t504 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t137 @t1) @t137)) % 0.47/0.95 (define @t505 () (not (tptp.c_lessequals @t50 @t19 @t1))) % 0.47/0.95 (define @t506 () (@var "V_j" $$unsorted)) % 0.47/0.95 (define @t507 () (@list @t18)) % 0.47/0.95 (define @t508 () (tptp.hBOOL (tptp.hAPP @t243 @t18))) % 0.47/0.95 (define @t509 () (tptp.hBOOL (tptp.hAPP @t4 @t32))) % 0.47/0.95 (define @t510 () (tptp.c_lessequals @t399 @t400 @t1)) % 0.47/0.95 (define @t511 () (not (= (tptp.hAPP @t397 @t19) @t401))) % 0.47/0.95 (define @t512 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.47/0.95 (define @t513 () (@list @t1 @t18 @t19 @t400 @t399)) % 0.47/0.95 (define @t514 () (tptp.c_HOL_Oord__class_Oless @t400 @t399 @t1)) % 0.47/0.95 (define @t515 () (not (tptp.c_lessequals @t70 @t73 @t1))) % 0.47/0.95 (define @t516 () (tptp.c_HOL_Oord__class_Oless @t70 @t73 @t1)) % 0.47/0.95 (define @t517 () (@list @t1 @t70 @t73)) % 0.47/0.95 (define @t518 () (not (tptp.c_lessequals @t73 @t70 @t1))) % 0.47/0.95 (define @t519 () (tptp.c_HOL_Oord__class_Oless @t73 @t70 @t1)) % 0.47/0.95 (define @t520 () (@list @t1 @t73 @t70)) % 0.47/0.95 (define @t521 () (tptp.c_lessequals @t421 @t503 tptp.tc_nat)) % 0.47/0.95 (define @t522 () (not @t516)) % 0.47/0.95 (define @t523 () (not @t519)) % 0.47/0.95 (define @t524 () (not @t477)) % 0.47/0.95 (define @t525 () (@var "V_xc" $$unsorted)) % 0.47/0.95 (define @t526 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t525) @t4)))) % 0.47/0.95 (define @t527 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 @t4 @t94 @t93 @t1)) % 0.47/0.95 (define @t528 () (not (tptp.hBOOL (tptp.hAPP @t94 @t527)))) % 0.47/0.95 (define @t529 () (not (tptp.hBOOL (tptp.hAPP @t93 @t527)))) % 0.47/0.95 (define @t530 () (@var "V_xf" $$unsorted)) % 0.47/0.95 (define @t531 () (@var "V_xg" $$unsorted)) % 0.47/0.95 (define @t532 () (tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 @t4 @t94 @t1)) % 0.47/0.95 (define @t533 () (not @t476)) % 0.47/0.95 (define @t534 () (not @t446)) % 0.47/0.95 (define @t535 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t19) @t4)))) % 0.47/0.95 (define @t536 () (not (= @t32 (tptp.hAPP @t12 @t19)))) % 0.47/0.95 (define @t537 () (@list @t12 @t18 @t19 @t1 @t4 @t9)) % 0.47/0.95 (define @t538 () (tptp.hBOOL (tptp.hAPP @t147 @t300))) % 0.47/0.95 (define @t539 () (tptp.hBOOL (tptp.hAPP @t464 @t154))) % 0.47/0.95 (define @t540 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OatMost @t330 @t154 @t1)))) % 0.47/0.95 (define @t541 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t527) @t4))) % 0.47/0.95 (define @t542 () (@var "V_xd" $$unsorted)) % 0.47/0.95 (define @t543 () (@var "V_xe" $$unsorted)) % 0.47/0.95 (define @t544 () (@list @t1 @t4 @t94 @t18)) % 0.47/0.95 (define @t545 () (tptp.hAPP @t140 @t70)) % 0.47/0.95 (define @t546 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 @t154) @t372))) % 0.47/0.95 (define @t547 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OgreaterThan @t329 @t154 @t1)))) % 0.47/0.95 (define @t548 () (@list @t1 @t372 @t329 @t154)) % 0.47/0.95 (define @t549 () (tptp.hBOOL (tptp.hAPP @t388 @t3))) % 0.47/0.95 (define @t550 () (tptp.hBOOL (tptp.hAPP @t147 @t242))) % 0.47/0.95 (define @t551 () (tptp.hAPP @t118 @t316)) % 0.47/0.95 (define @t552 () (tptp.hAPP @t140 @t73)) % 0.47/0.95 (define @t553 () (not @t467)) % 0.47/0.95 (define @t554 () (tptp.hBOOL (tptp.hAPP @t94 @t258))) % 0.47/0.95 (define @t555 () (tptp.hBOOL (tptp.hAPP @t458 @t154))) % 0.47/0.95 (define @t556 () (tptp.hBOOL (tptp.hAPP @t373 (tptp.c_SetInterval_Oord_OlessThan @t329 @t154 @t1)))) % 0.47/0.95 (define @t557 () (tptp.hAPP @t196 @t70)) % 0.47/0.95 (define @t558 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t3 @t1 (tptp.tc_fun @t9 (tptp.tc_fun @t172 tptp.tc_bool))) @t70) @t200))) % 0.47/0.95 (define @t559 () (tptp.hBOOL (tptp.hAPP @t150 @t70))) % 0.47/0.95 (define @t560 () (tptp.hAPP @t151 @t70)) % 0.47/0.95 (define @t561 () (not @t461)) % 0.47/0.95 (define @t562 () (tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 @t4 @t94 @t1)) % 0.47/0.95 (define @t563 () (tptp.hBOOL (tptp.hAPP @t144 @t114))) % 0.47/0.95 (define @t564 () (not (tptp.c_Natural_Oevaln @t411 @t297 @t360 @t247))) % 0.47/0.95 (define @t565 () (tptp.c_Natural_Oevaln @t406 @t297 @t360 @t247)) % 0.47/0.95 (define @t566 () (tptp.c_Natural_Oevaln @t410 @t297 @t360 @t247)) % 0.47/0.95 (define @t567 () (not (tptp.c_Natural_Oevaln @t200 @t297 @t360 @t247))) % 0.47/0.95 (define @t568 () (tptp.c_Natural_Oevaln @t407 @t297 @t360 @t395)) % 0.47/0.95 (define @t569 () (@list @t70 @t405 @t406 @t297 @t360 @t395)) % 0.47/0.95 (define @t570 () (@var "V_s_H" $$unsorted)) % 0.47/0.95 (define @t571 () (not (tptp.c_Natural_Oevaln @t200 @t297 @t360 @t570))) % 0.47/0.95 (define @t572 () (@var "V_t1" $$unsorted)) % 0.47/0.95 (define @t573 () (@var "V_n1" $$unsorted)) % 0.47/0.95 (define @t574 () (not (tptp.c_Natural_Oevaln @t406 @t395 @t573 @t572))) % 0.47/0.95 (define @t575 () (@var "V_t2" $$unsorted)) % 0.47/0.95 (define @t576 () (@var "V_n2" $$unsorted)) % 0.47/0.95 (define @t577 () (not (tptp.c_Natural_Oevaln @t410 @t396 @t576 @t575))) % 0.47/0.95 (define @t578 () (tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 @t406 @t410 @t395 @t396 @t572 @t575)) % 0.47/0.95 (define @t579 () (not @t269)) % 0.47/0.95 (define @t580 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 @t266 @t360)) % 0.47/0.95 (define @t581 () (@var "V_na" $$unsorted)) % 0.47/0.95 (define @t582 () (tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 @t360 @t265)) % 0.47/0.95 (define @t583 () (tptp.hAPP @t268 @t18)) % 0.47/0.95 (define @t584 () (@var "V_nb" $$unsorted)) % 0.47/0.95 (define @t585 () (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_Z) tptp.v_s)) % 0.47/0.95 (define @t586 () (@var "V_p" $$unsorted)) % 0.47/0.95 (define @t587 () (@var "V_Z" $$unsorted)) % 0.47/0.95 (define @t588 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 0.47/0.95 (define @t589 () (tptp.hAPP tptp.v_P tptp.v_R)) % 0.47/0.95 (define @t590 () (tptp.hBOOL (tptp.hAPP @t160 @t18))) % 0.47/0.95 (define @t591 () (tptp.hBOOL (tptp.hAPP @t119 @t160))) % 0.47/0.95 (define @t592 () (tptp.hBOOL @t585)) % 0.47/0.95 (define @t593 () (tptp.c_Natural_Oevaln tptp.v_c tptp.v_s tptp.v_n tptp.v_s1)) % 0.47/0.95 (define @t594 () (tptp.c_Natural_Oevaln tptp.v_d tptp.v_s1 tptp.v_n tptp.v_s_H)) % 0.47/0.95 (define @t595 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_R tptp.v_Z) tptp.v_s_H))) % 0.47/0.95 (define @t596 () (tptp.hAPP tptp.v_Q @t587)) % 0.47/0.95 (define @t597 () (@list @t587 @t570 @t297)) % 0.47/0.95 (define @t598 () (forall @t597 (or (tptp.hBOOL (tptp.hAPP @t596 @t570)) (not (tptp.c_Natural_Oevaln tptp.v_c @t297 tptp.v_n @t570)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t587) @t297)))))) % 0.47/0.95 (define @t599 () (@var "T_1" $$unsorted)) % 0.47/0.95 (define @t600 () (@var "T_2" $$unsorted)) % 0.47/0.95 (define @t601 () (tptp.tc_fun @t600 @t599)) % 0.47/0.95 (define @t602 () (@list @t600 @t599)) % 0.47/0.95 (define @t603 () (not (tptp.class_Lattices_Olattice @t599))) % 0.47/0.95 (define @t604 () (@var "V_X" $$unsorted)) % 0.47/0.95 (define @t605 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q tptp.v_Z) tptp.v_s1))) % 0.47/0.95 (define @t606 () (not @t605)) % 0.47/0.95 (define @t607 () (not @t594)) % 0.47/0.95 (define @t608 () (or @t595 @t607 @t606)) % 0.47/0.95 (define @t609 () (not @t592)) % 0.47/0.95 (define @t610 () (not @t593)) % 0.47/0.95 (define @t611 () (or @t605 @t610 @t609)) % 0.47/0.95 (define @t612 () (not @t611)) % 0.47/0.95 (assume @p1 (forall @t8 (or @t7 @t6))) % 0.47/0.95 (assume @p2 (forall @t17 (or @t16 @t15 @t14))) % 0.47/0.95 (assume @p3 (forall @t24 (or @t23 (= @t22 @t18) @t21))) % 0.47/0.95 (assume @p4 (forall @t24 (or @t23 (not @t26) @t25))) % 0.47/0.95 (assume @p5 (forall @t24 (or @t23 @t26 @t27))) % 0.47/0.95 (assume @p6 (forall @t8 (or @t30 @t28))) % 0.47/0.95 (assume @p7 (forall @t8 (or (= @t29 @t4) @t31))) % 0.47/0.95 (assume @p8 (forall @t8 (or (not @t30) @t7))) % 0.47/0.95 (assume @p9 (forall (@list @t12 @t18 @t9 @t1) (= (tptp.c_Fun_Ofun__upd @t12 @t18 @t32 @t9 @t1) @t12))) % 0.47/0.95 (assume @p10 (forall (@list @t12 @t18 @t19 @t9 @t1) (= (tptp.hAPP @t33 @t18) @t19))) % 0.47/0.95 (assume @p11 (forall (@list @t12 @t18 @t1 @t9) (= (tptp.c_Fun_Ofun__upd @t12 @t18 @t32 @t1 @t9) @t12))) % 0.47/0.95 (assume @p12 (forall (@list @t12 @t18 @t19 @t1 @t34) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t12 @t18 @t19 @t1 @t34) @t18) @t19))) % 0.47/0.95 (assume @p13 (forall (@list @t12 @t18 @t34 @t1) (= (tptp.c_Fun_Ofun__upd @t12 @t18 @t32 @t34 @t1) @t12))) % 0.47/0.95 (assume @p14 (forall @t37 (or @t36 (not (tptp.c_lessequals @t4 @t35 @t2))))) % 0.47/0.95 (assume @p15 (forall @t38 (tptp.c_lessequals @t35 @t35 @t2))) % 0.47/0.95 (assume @p16 (forall @t44 (or (tptp.c_lessequals @t29 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t42 @t2) @t2) @t43 @t41))) % 0.47/0.95 (assume @p17 (forall @t8 (tptp.c_lessequals @t45 @t4 @t2))) % 0.47/0.95 (assume @p18 (forall @t8 (tptp.c_lessequals @t45 @t3 @t2))) % 0.47/0.95 (assume @p19 (forall (@list @t39 @t4 @t3 @t1) (or @t49 (not @t48) @t47))) % 0.47/0.95 (assume @p20 (forall @t54 (or @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t18 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t18 @t1) @t1))))) % 0.47/0.95 (assume @p21 (forall @t58 (or @t53 (= @t57 @t56)))) % 0.47/0.95 (assume @p22 (forall @t61 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t60 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t59 @t2)))) % 0.47/0.95 (assume @p23 (forall @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t63 @t62 @t2)))) % 0.47/0.95 (assume @p24 (forall @t54 (or @t23 @t67 @t66))) % 0.47/0.95 (assume @p25 (forall @t69 (or @t23 @t68 @t66))) % 0.47/0.95 (assume @p26 (forall @t76 (or @t23 @t75 @t72))) % 0.47/0.95 (assume @p27 (forall @t76 (or @t23 @t75 @t78))) % 0.47/0.95 (assume @p28 (forall (@list @t1 @t70 @t18 @t73) (or @t23 @t81 @t80))) % 0.47/0.95 (assume @p29 (forall (@list @t1 @t73 @t18 @t70) (or @t23 @t82 @t80))) % 0.47/0.95 (assume @p30 (forall @t85 (or @t40 @t84))) % 0.47/0.95 (assume @p31 (forall @t64 (or @t86 @t84))) % 0.47/0.95 (assume @p32 (forall @t87 (tptp.c_lessequals @t18 @t18 @t2))) % 0.47/0.95 (assume @p33 (forall @t37 (tptp.c_lessequals @t4 @t4 @t2))) % 0.47/0.95 (assume @p34 (forall @t85 (or @t40 @t88 @t28))) % 0.47/0.95 (assume @p35 (forall @t92 (or @t91 @t28 @t90))) % 0.47/0.95 (assume @p36 (forall @t99 (or @t98 @t97 @t95))) % 0.47/0.95 (assume @p37 (forall @t85 (or @t100 @t88 @t6))) % 0.47/0.95 (assume @p38 (forall @t85 (or @t100 @t101 @t28))) % 0.47/0.95 (assume @p39 (forall @t99 (or @t98 @t95 @t97))) % 0.47/0.95 (assume @p40 (forall @t44 (or (tptp.c_lessequals @t45 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t42 @t2) @t2) @t43 @t41))) % 0.47/0.95 (assume @p41 (forall (@list @t4 @t3 @t9 @t102 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t104 @t102 @t9 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t102 @t9 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t3 @t102 @t9 @t2) @t2)))) % 0.47/0.95 (assume @p42 (forall (@list @t12 @t18 @t19 @t9 @t1 @t50) (or (= (tptp.hAPP @t33 @t50) @t106) @t105))) % 0.47/0.95 (assume @p43 (forall @t108 (or (= (tptp.hAPP @t107 @t50) @t106) @t105))) % 0.47/0.95 (assume @p44 (forall (@list @t1 @t3 @t39 @t4) (or (= (tptp.hAPP @t111 (tptp.hAPP @t110 @t4)) @t4) @t88 @t28))) % 0.47/0.95 (assume @p45 (forall @t92 (or (tptp.c_lessequals @t113 @t112 @t103) @t28))) % 0.47/0.95 (assume @p46 (forall (@list @t18 @t4 @t9 @t12 @t1) (or (not (tptp.c_lessequals @t18 @t4 @t103)) (tptp.c_lessequals (tptp.c_Set_Oimage @t12 @t18 @t9 @t1) @t114 @t2)))) % 0.47/0.95 (assume @p47 (forall (@list @t73 @t39 @t1 @t42) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t73 @t39 @t1) (tptp.c_Set_Oinsert @t73 @t42 @t1) @t2) (not (tptp.c_lessequals @t39 @t42 @t2))))) % 0.47/0.95 (assume @p48 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t35 @t2) @t35))) % 0.47/0.95 (assume @p49 (forall @t8 (or @t5 @t115 @t28))) % 0.47/0.95 (assume @p50 (forall @t8 (or @t115 @t5 @t28))) % 0.47/0.95 (assume @p51 (forall @t117 (= (tptp.c_Set_Oimage @t12 @t104 @t9 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t116 @t2)))) % 0.47/0.95 (assume @p52 (forall (@list @t12 @t50 @t18 @t4 @t1 @t19 @t9) (or (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t122 @t121 @t1 @t9) (not (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t4 @t19 @t1 @t9)) @t120))) % 0.47/0.95 (assume @p53 (forall @t126 (or @t7 @t125 @t120))) % 0.47/0.95 (assume @p54 (forall @t127 (or @t124 @t28 @t120))) % 0.47/0.95 (assume @p55 (forall @t126 (or @t7 @t120 @t125))) % 0.47/0.95 (assume @p56 (forall @t131 (or @t130 @t129))) % 0.47/0.95 (assume @p57 (forall @t133 (or @t128 @t28 @t132))) % 0.47/0.95 (assume @p58 (forall @t58 (or @t139 (tptp.c_lessequals @t138 @t135 @t1)))) % 0.47/0.95 (assume @p59 (forall @t58 (or @t139 (tptp.c_lessequals @t57 @t56 @t1)))) % 0.47/0.95 (assume @p60 (forall (@list @t1 @t12 @t18 @t3 @t9 @t4) (or (tptp.hBOOL (tptp.hAPP @t144 @t3)) @t143 (not (tptp.c_lessequals @t114 @t3 @t2))))) % 0.47/0.95 (assume @p61 (forall @t146 (or (= @t145 @t114) @t142))) % 0.47/0.95 (assume @p62 (forall (@list @t3 @t73 @t4 @t1 @t9) (or (tptp.c_lessequals @t151 @t150 @t103) @t149))) % 0.47/0.95 (assume @p63 (forall (@list @t4 @t18 @t3 @t1 @t9 @t152) (or (tptp.c_lessequals @t153 @t3 @t2) (not (tptp.hBOOL (tptp.hAPP @t141 @t152))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t152 @t4 @t9 @t2) @t3 @t2))))) % 0.47/0.95 (assume @p64 (forall (@list @t4 @t154 @t152 @t1 @t9) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t4 @t154) @t155 @t103) @t155) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t154) @t152)))))) % 0.47/0.95 (assume @p65 (forall @t158 (= @t157 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t156 @t4 @t2)))) % 0.47/0.95 (assume @p66 (forall (@list @t4 @t18 @t1) (or (= @t4 @t159) @t36 (not (tptp.c_lessequals @t4 @t159 @t2))))) % 0.47/0.95 (assume @p67 (forall (@list @t163 @t160 @t1) (or @t166 (not @t165)))) % 0.47/0.95 (assume @p68 (forall @t167 (or @t165 (not @t166)))) % 0.47/0.95 (assume @p69 (forall (@list @t9 @t4 @t1 @t3) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t168 @t4 @t9 @t2) @t3 @t2) @t3))) % 0.47/0.95 (assume @p70 (forall (@list @t4 @t9 @t3 @t1) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t169 @t2) @t4))) % 0.47/0.95 (assume @p71 (forall (@list @t73 @t4 @t9 @t3 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t73 @t4 @t9) @t3 @t9 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t151 @t170 @t2)))) % 0.47/0.95 (assume @p72 (forall @t117 (tptp.c_lessequals (tptp.c_Set_Oimage @t12 @t171 @t9 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t116 @t2) @t2))) % 0.47/0.95 (assume @p73 (forall (@list @t4 @t3 @t12 @t172 @t1 @t9) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 (tptp.c_COMBB @t3 @t12 @t172 @t2 @t9) @t9 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t12 @t4 @t9 @t172) @t3 @t172 @t2)))) % 0.47/0.95 (assume @p74 (forall (@list @t12 @t4 @t172 @t9 @t3 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t12 @t4 @t172 @t9) @t3 @t9 @t2) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 (tptp.c_COMBB @t3 @t12 @t9 @t2 @t172) @t172 @t2)))) % 0.47/0.95 (assume @p75 (forall @t92 (or (not (= @t113 @t112)) @t174 @t115))) % 0.47/0.95 (assume @p76 (forall (@list @t12 @t4 @t1 @t9) (or (= (tptp.c_Finite__Set_Ocard @t113 @t9) (tptp.c_Finite__Set_Ocard @t4 @t1)) @t175))) % 0.47/0.95 (assume @p77 (forall (@list @t1 @t12 @t4 @t9 @t3) (tptp.c_lessequals (tptp.hAPP (tptp.hAPP @t109 @t114) @t116) (tptp.c_Set_Oimage @t12 @t178 @t9 @t1) @t2))) % 0.47/0.95 (assume @p78 (forall @t181 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t180 @t45 @t2) @t4))) % 0.47/0.95 (assume @p79 (forall @t184 (= (tptp.hAPP @t179 @t183) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t180 @t182 @t2)))) % 0.47/0.95 (assume @p80 (forall @t184 (= (tptp.hAPP @t179 @t60) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t180 @t182 @t2)))) % 0.47/0.95 (assume @p81 (forall @t186 (tptp.c_lessequals (tptp.c_Set_Oimage @t12 @t185 @t9 @t1) @t4 @t2))) % 0.47/0.95 (assume @p82 (forall @t24 (or @t139 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t22 @t1) @t18)))) % 0.47/0.95 (assume @p83 (forall @t8 (or @t115 @t31 @t28))) % 0.47/0.95 (assume @p84 (forall @t24 (or @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t137 @t1) @t18)))) % 0.47/0.95 (assume @p85 (forall @t17 (or @t16 @t13 @t188 @t187))) % 0.47/0.95 (assume @p86 (forall (@list @t1 @t4 @t3 @t39 @t42) (or (tptp.c_lessequals @t180 (tptp.hAPP @t110 @t42) @t2) (not (tptp.c_lessequals @t42 @t3 @t2)) @t41))) % 0.47/0.95 (assume @p87 (forall @t108 (= (tptp.c_Fun_Ofun__upd @t107 @t18 @t50 @t1 @t9) (tptp.c_Fun_Ofun__upd @t12 @t18 @t50 @t1 @t9)))) % 0.47/0.95 (assume @p88 (forall @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t35 @t2) @t4))) % 0.47/0.95 (assume @p89 (forall @t189 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t3 @t2) @t3))) % 0.47/0.95 (assume @p90 (forall @t192 (or @t191 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t190 @t18 @t1) @t18)))) % 0.47/0.95 (assume @p91 (forall @t192 (or @t191 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t190 @t1) @t18)))) % 0.47/0.95 (assume @p92 (forall @t126 (or @t195 @t194))) % 0.47/0.95 (assume @p93 (forall @t126 (or @t195 @t198))) % 0.47/0.95 (assume @p94 (forall @t199 (or @t197 @t193 (not @t195)))) % 0.47/0.95 (assume @p95 (forall (@list @t203 @t73 @t70 @t1 @t9 @t200 @t202) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t203 @t73 @t70 @t1 @t9) @t200 @t202 @t1 @t9) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t203 @t200 @t202 @t1 @t9) @t73 @t70 @t1 @t9)) @t201))) % 0.47/0.95 (assume @p96 (forall @t206 (or @t205 @t47))) % 0.47/0.95 (assume @p97 (forall @t206 (or (not @t205) @t46))) % 0.47/0.95 (assume @p98 (forall (@list @t18 @t50 @t12 @t1 @t9) (or (= @t18 @t50) (not (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t35 @t18 @t1 @t9))))) % 0.47/0.95 (assume @p99 (forall (@list @t3 @t73 @t1) (tptp.c_lessequals @t3 @t207 @t2))) % 0.47/0.95 (assume @p100 (forall @t208 (tptp.c_lessequals @t35 @t4 @t2))) % 0.47/0.95 (assume @p101 (forall @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t207 @t2) (tptp.c_Set_Oinsert @t73 @t29 @t1)))) % 0.47/0.95 (assume @p102 (forall @t210 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 @t39 @t2) (tptp.c_Set_Oinsert @t73 @t183 @t1)))) % 0.47/0.95 (assume @p103 (forall (@list @t1 @t12 @t9 @t11 @t4) (or @t212 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBS (tptp.c_COMBB @t211 @t12 @t1 (tptp.tc_fun @t1 @t1) @t9) @t11 @t9 @t1 @t1) @t4 @t9 @t1) (tptp.hAPP (tptp.hAPP @t211 (tptp.c_Finite__Set_Osetsum @t12 @t4 @t9 @t1)) (tptp.c_Finite__Set_Osetsum @t11 @t4 @t9 @t1)))))) % 0.47/0.95 (assume @p104 (forall (@list @t4 @t70 @t3 @t1) (or (tptp.c_lessequals @t4 @t213 @t2) @t28))) % 0.47/0.95 (assume @p105 (forall @t126 (or @t7 @t129))) % 0.47/0.95 (assume @p106 (forall @t64 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t183 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t215 @t214 @t2)))) % 0.47/0.95 (assume @p107 (forall @t61 (= @t204 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t216 @t2)))) % 0.47/0.95 (assume @p108 (forall @t58 (or @t53 (= @t135 @t138)))) % 0.47/0.95 (assume @p109 (forall @t54 (or @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t134 @t18 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t217 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t18 @t1) @t1))))) % 0.47/0.95 (assume @p110 (forall @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t4 @t2) @t4))) % 0.47/0.95 (assume @p111 (forall @t192 (or @t23 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t1) @t18)))) % 0.47/0.95 (assume @p112 (forall (@list @t9 @t11 @t12 @t1) (or @t16 (not @t188) @t14))) % 0.47/0.95 (assume @p113 (forall @t61 (= @t218 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t59 @t2)))) % 0.47/0.95 (assume @p114 (forall @t206 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t39 @t2) @t218))) % 0.47/0.95 (assume @p115 (forall @t58 (or @t23 @t220))) % 0.47/0.95 (assume @p116 (forall @t58 (or @t23 @t221))) % 0.47/0.95 (assume @p117 (forall @t58 (or @t139 @t221))) % 0.47/0.95 (assume @p118 (forall @t58 (or @t139 @t220))) % 0.47/0.95 (assume @p119 (forall @t8 (or (= @t45 @t4) @t28))) % 0.47/0.95 (assume @p120 (forall @t8 (or (= @t45 @t3) @t31))) % 0.47/0.95 (assume @p121 (forall @t206 (or @t83 @t88 @t41))) % 0.47/0.95 (assume @p122 (forall (@list @t3 @t4 @t1) (tptp.c_lessequals @t3 @t29 @t2))) % 0.47/0.95 (assume @p123 (forall @t8 (tptp.c_lessequals @t4 @t29 @t2))) % 0.47/0.95 (assume @p124 (forall @t224 (or @t23 @t79 @t223 @t222))) % 0.47/0.95 (assume @p125 (forall @t24 (or @t23 @t225))) % 0.47/0.95 (assume @p126 (forall @t227 (or @t23 @t226))) % 0.47/0.95 (assume @p127 (forall @t54 (or @t23 (tptp.c_lessequals @t134 @t18 @t1) (not @t228) @t21))) % 0.47/0.95 (assume @p128 (forall @t58 (or @t23 @t65 @t230 @t229))) % 0.47/0.95 (assume @p129 (forall @t227 (or @t139 @t226))) % 0.47/0.95 (assume @p130 (forall @t24 (or @t139 @t225))) % 0.47/0.95 (assume @p131 (forall @t233 (or (= @t232 @t3) @t28))) % 0.47/0.95 (assume @p132 (forall @t181 (tptp.c_lessequals @t180 @t4 @t2))) % 0.47/0.95 (assume @p133 (forall @t206 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t60 @t2) @t214 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t183 @t2) @t62 @t2)))) % 0.47/0.95 (assume @p134 (forall @t234 (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t35 @t50 @t1 @t9))) % 0.47/0.95 (assume @p135 (forall @t234 (tptp.c_Nitpick_Ofold__graph_H @t12 @t50 @t35 @t50 @t1 @t9))) % 0.47/0.95 (assume @p136 (forall (@list @t12 @t4 @t9 @t1 @t3) (or (tptp.c_lessequals @t185 @t235 @t103) @t28))) % 0.47/0.95 (assume @p137 (forall @t8 (or @t236 (= @t3 @t35)))) % 0.47/0.95 (assume @p138 (forall @t8 (or @t236 @t36))) % 0.47/0.95 (assume @p139 (forall @t181 (or @t191 @t237 (= @t4 @t190)))) % 0.47/0.95 (assume @p140 (forall @t181 (or @t191 @t237 (= @t3 @t190)))) % 0.47/0.95 (assume @p141 (forall (@list @t1 @t3 @t4) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t231 @t4 @t2) @t63))) % 0.47/0.95 (assume @p142 (forall @t233 (= @t232 @t29))) % 0.47/0.95 (assume @p143 (forall (@list @t39 @t3 @t1 @t4) (or @t48 @t238))) % 0.47/0.95 (assume @p144 (forall (@list @t39 @t4 @t1 @t3) (or @t46 @t238))) % 0.47/0.95 (assume @p145 (forall @t184 (= (tptp.hAPP (tptp.hAPP @t109 @t29) @t39) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t182 @t239 @t2)))) % 0.47/0.95 (assume @p146 (forall @t8 (= @t29 @t63))) % 0.47/0.95 (assume @p147 (forall @t24 (or @t23 @t240))) % 0.47/0.95 (assume @p148 (forall @t24 (or @t139 @t240))) % 0.47/0.95 (assume @p149 (forall @t8 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t29 @t2) @t29))) % 0.47/0.95 (assume @p150 (forall @t24 (or @t23 @t241))) % 0.47/0.95 (assume @p151 (forall @t24 (or @t139 @t241))) % 0.47/0.95 (assume @p152 (forall @t117 (= (tptp.c_Set_Ovimage @t12 @t104 @t1 @t9) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t243 @t242 @t2)))) % 0.47/0.95 (assume @p153 (forall (@list @t12 @t18 @t19 @t1 @t9) (or (not (= @t107 @t12)) (= @t32 @t19)))) % 0.47/0.95 (assume @p154 (forall (@list @t12 @t3 @t1 @t9 @t4) (or @t89 @t174))) % 0.47/0.95 (assume @p155 (forall @t92 (or @t91 @t174))) % 0.47/0.95 (assume @p156 (forall @t184 (or @t245 (not @t244)))) % 0.47/0.95 (assume @p157 (forall @t61 (or @t244 (not @t245)))) % 0.47/0.95 (assume @p158 (forall @t76 (or @t23 @t246 (not (tptp.c_HOL_Oord__class_Oless @t18 @t73 @t1))))) % 0.47/0.95 (assume @p159 (forall @t76 (or @t23 @t246 (not (tptp.c_HOL_Oord__class_Oless @t18 @t70 @t1))))) % 0.47/0.95 (assume @p160 (forall (@list @t9 @t12 @t18 @t11 @t1) (or @t16 (tptp.c_lessequals @t32 (tptp.hAPP @t11 @t18) @t9) @t187))) % 0.47/0.95 (assume @p161 (forall (@list @t1 @t247 @t3 @t4) (or (tptp.hBOOL (tptp.hAPP @t248 @t3)) (not (tptp.hBOOL (tptp.hAPP @t248 @t4))) @t28))) % 0.47/0.95 (assume @p162 (forall @t131 (or @t130 @t28 @t249))) % 0.47/0.95 (assume @p163 (forall @t254 (or @t253 @t252 @t28))) % 0.47/0.95 (assume @p164 (forall @t131 (or @t130 @t249 @t28))) % 0.47/0.95 (assume @p165 (forall @t256 (or @t255 @t252))) % 0.47/0.95 (assume @p166 (forall @t256 (or @t255 @t257))) % 0.47/0.95 (assume @p167 (forall @t254 (or @t253 @t251 (not @t255)))) % 0.47/0.95 (assume @p168 (forall (@list @t1 @t4 @t3 @t94 @t18) (or @t259 @t97 @t132))) % 0.47/0.95 (assume @p169 (forall (@list @t1 @t4 @t3 @t94 @t260) (or @t259 @t264 @t262))) % 0.47/0.95 (assume @p170 (forall @t270 (or @t269 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t267) @t265))))) % 0.47/0.95 (assume @p171 (forall (@list @t12 @t18 @t19 @t1 @t9 @t4) (or (tptp.c_Fun_Oinj__on @t107 @t4 @t1 @t9) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t19) @t113)) @t175))) % 0.47/0.95 (assume @p172 (forall (@list @t73 @t3 @t1) (= @t207 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t272 @t3 @t2)))) % 0.47/0.95 (assume @p173 (forall @t127 (or @t124 @t28 @t275))) % 0.47/0.95 (assume @p174 (forall @t127 (or @t276 @t28 @t120 @t6))) % 0.47/0.95 (assume @p175 (forall @t127 (or @t276 @t28 @t120 @t130))) % 0.47/0.95 (assume @p176 (forall @t126 (or @t7 @t120 @t130 @t277))) % 0.47/0.95 (assume @p177 (forall (@list @t12 @t4 @t3 @t1 @t9 @t39) (or (= (tptp.c_Set_Oimage @t12 @t45 @t1 @t9) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t113 @t112 @t103)) @t88 @t41 @t278))) % 0.47/0.95 (assume @p178 (forall @t280 (= (tptp.c_Set_Ovimage @t12 @t279 @t1 @t9) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t12 (tptp.c_Set_Oinsert @t73 @t168 @t9) @t1 @t9) @t242 @t2)))) % 0.47/0.95 (assume @p179 (forall (@list @t12 @t1 @t4 @t3 @t9 @t39) (or (= @t281 (tptp.hAPP (tptp.hAPP @t176 @t113) @t112)) @t88 @t41 @t278))) % 0.47/0.95 (assume @p180 (forall @t284 (or (= @t283 @t180) @t132))) % 0.47/0.95 (assume @p181 (forall @t287 (= (tptp.c_Set_Oimage @t286 @t285 @t1 @t1) @t285))) % 0.47/0.95 (assume @p182 (forall @t289 (or @t288 @t249 @t130 @t277))) % 0.47/0.95 (assume @p183 (forall @t127 (or @t276 @t249 @t290 @t130))) % 0.47/0.95 (assume @p184 (forall @t294 (not (= @t293 tptp.c_Com_Ocom_OSKIP)))) % 0.47/0.95 (assume @p185 (forall @t295 (or (tptp.c_Fun_Oinj__on @t12 @t180 @t1 @t9) @t175))) % 0.47/0.95 (assume @p186 (forall (@list @t1 @t12 @t4 @t9) (or (not (= @t35 @t114)) @t296))) % 0.47/0.95 (assume @p187 (forall (@list @t70 @t200 @t297) (or (tptp.c_Natural_Oevalc @t299 @t297 @t297) @t298))) % 0.47/0.95 (assume @p188 (forall (@list @t12 @t9 @t4 @t3 @t1) (= (tptp.c_Set_Ovimage @t12 @t178 @t1 @t9) (tptp.hAPP (tptp.hAPP @t109 @t243) @t242)))) % 0.47/0.95 (assume @p189 (forall @t127 (or @t276 @t249 @t290 @t6))) % 0.47/0.95 (assume @p190 (forall (@list @t94 @t1) (= @t300 @t94))) % 0.47/0.95 (assume @p191 (forall @t192 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t190 @t18 @t1)))) % 0.47/0.95 (assume @p192 (forall @t309 (or @t308 @t303))) % 0.47/0.95 (assume @p193 (forall @t309 (or @t308 @t310))) % 0.47/0.95 (assume @p194 (forall (@list @t306 @t302 @t292 @t291) (not (= @t307 @t293)))) % 0.47/0.95 (assume @p195 (forall @t313 (= @t312 (tptp.hAPP @t311 @t156)))) % 0.47/0.95 (assume @p196 (forall @t313 (= @t312 (tptp.hAPP (tptp.hAPP @t109 @t314) @t3)))) % 0.47/0.95 (assume @p197 (forall (@list @t306 @t302 @t292 @t304 @t301) (not (= @t307 @t315)))) % 0.47/0.95 (assume @p198 (forall @t158 (not (= @t157 @t35)))) % 0.47/0.95 (assume @p199 (forall @t208 (tptp.c_Fun_Oinj__on @t286 @t4 @t1 @t1))) % 0.47/0.95 (assume @p200 (forall (@list @t34 @t73 @t12 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t73) (tptp.c_Set_Ovimage @t12 (tptp.c_Set_Oinsert @t316 @t35 @t1) @t34 @t1))))) % 0.47/0.95 (assume @p201 (forall (@list @t73 @t4 @t1 @t3) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t157 @t207 @t2) @t318))) % 0.47/0.95 (assume @p202 (forall @t319 (= (tptp.c_Set_Oinsert @t18 @t122 @t1) @t122))) % 0.47/0.95 (assume @p203 (forall (@list @t4 @t18 @t19 @t1) (or @t193 (= @t19 @t18) (not @t321)))) % 0.47/0.95 (assume @p204 (forall (@list @t4 @t3 @t9 @t1 @t18) (or (not (= @t170 @t35)) @t322 @t143))) % 0.47/0.95 (assume @p205 (forall (@list @t323 @t306 @t302 @t292 @t291) (not (= @t324 @t293)))) % 0.47/0.95 (assume @p206 (forall @t192 (or @t191 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t190 @t1) @t190)))) % 0.47/0.95 (assume @p207 (forall @t192 (or @t191 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t190 @t18 @t1) @t190)))) % 0.47/0.95 (assume @p208 (forall @t189 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t3 @t2) @t35))) % 0.47/0.95 (assume @p209 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t35 @t2) @t35))) % 0.47/0.95 (assume @p210 (forall (@list @t292 @t304 @t301 @t306 @t302) (not (= @t315 @t307)))) % 0.47/0.95 (assume @p211 (forall (@list @t331 @t73 @t70 @t1 @t327 @t332 @t330 @t329 @t328 @t326 @t325) (or (= (tptp.hAPP @t331 @t336) (tptp.hAPP @t334 @t70)) @t333))) % 0.47/0.95 (assume @p212 (forall (@list @t332 @t73 @t70 @t1 @t328 @t331 @t330 @t329 @t327 @t326 @t325) (or (= (tptp.hAPP @t332 @t336) (tptp.hAPP @t337 @t70)) @t333))) % 0.47/0.95 (assume @p213 (forall @t339 (or @t338 @t303))) % 0.47/0.95 (assume @p214 (forall @t339 (or @t338 @t310))) % 0.47/0.95 (assume @p215 (forall @t339 (or @t338 @t340))) % 0.47/0.95 (assume @p216 (forall @t208 (= (tptp.hAPP @t179 @t35) @t4))) % 0.47/0.95 (assume @p217 (forall @t208 (= (tptp.hAPP @t179 @t4) @t35))) % 0.47/0.95 (assume @p218 (forall (@list @t18 @t19) (or (not (= (tptp.c_Suc @t18) (tptp.c_Suc @t19))) @t341))) % 0.47/0.95 (assume @p219 (forall (@list @t343 @t342) (or (not (= (tptp.c_Suc @t343) (tptp.c_Suc @t342))) (= @t343 @t342)))) % 0.47/0.95 (assume @p220 (forall @t37 (not (tptp.c_HOL_Oord__class_Oless @t4 @t35 @t2)))) % 0.47/0.95 (assume @p221 (forall @t287 (= (tptp.c_Set_Ovimage @t286 @t285 @t1 @t1) @t285))) % 0.47/0.95 (assume @p222 (forall @t58 (or @t139 @t345))) % 0.47/0.95 (assume @p223 (forall @t58 (or @t139 @t346))) % 0.47/0.95 (assume @p224 (forall @t58 (or @t347 @t346))) % 0.47/0.95 (assume @p225 (forall @t58 (or @t347 @t345))) % 0.47/0.95 (assume @p226 (forall @t206 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t45 @t39 @t2) @t348))) % 0.47/0.95 (assume @p227 (forall @t61 (= @t348 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t216 @t2)))) % 0.47/0.95 (assume @p228 (forall (@list @t1 @t4 @t3 @t9 @t18) (or (not (= @t35 @t170)) @t322 @t143))) % 0.47/0.95 (assume @p229 (forall @t208 (= (tptp.hAPP (tptp.hAPP @t109 @t35) @t4) @t35))) % 0.47/0.95 (assume @p230 (forall @t294 (not (= tptp.c_Com_Ocom_OSKIP @t293)))) % 0.47/0.95 (assume @p231 (forall @t192 (not (tptp.hBOOL (tptp.hAPP @t35 @t18))))) % 0.47/0.95 (assume @p232 (forall (@list @t39 @t1 @t4 @t3) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t180 @t2) (tptp.hAPP (tptp.hAPP @t109 @t214) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t3 @t2))))) % 0.47/0.95 (assume @p233 (forall @t184 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t180 @t39 @t2) @t350))) % 0.47/0.95 (assume @p234 (forall (@list @t200 @t1 @t9 @t4) (or (= (tptp.c_Set_Oimage @t351 @t4 @t9 @t1) (tptp.c_Set_Oinsert @t200 @t35 @t1)) @t296))) % 0.47/0.95 (assume @p235 (forall @t126 (or @t5 @t132 @t277))) % 0.47/0.95 (assume @p236 (forall @t127 (or @t276 @t132 @t6))) % 0.47/0.95 (assume @p237 (forall @t131 (or @t132 @t249 @t352))) % 0.47/0.95 (assume @p238 (forall (@list @t1 @t4 @t39 @t3) (= @t350 (tptp.hAPP @t349 @t3)))) % 0.47/0.95 (assume @p239 (forall @t24 (or @t354 @t353 @t20 @t27))) % 0.47/0.95 (assume @p240 (forall @t87 (not (tptp.c_HOL_Oord__class_Oless @t18 @t18 @t2)))) % 0.47/0.95 (assume @p241 (forall @t192 (or @t357 @t356))) % 0.47/0.95 (assume @p242 (forall @t192 (or @t358 @t356))) % 0.47/0.95 (assume @p243 (forall @t192 (or @t354 @t356))) % 0.47/0.95 (assume @p244 (forall (@list @t94 @t1 @t18) (or (not (= @t300 @t35)) @t97))) % 0.47/0.95 (assume @p245 (forall (@list @t297) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t297 @t297))) % 0.47/0.95 (assume @p246 (forall @t227 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t359 @t353 @t341))) % 0.47/0.95 (assume @p247 (forall @t24 (or @t358 @t341 @t359 @t353))) % 0.47/0.95 (assume @p248 (forall @t365 (or (= @t203 @t360) @t364 @t362))) % 0.47/0.95 (assume @p249 (forall (@list @t367 @t247 @t200 @t297) (or (= @t367 @t247) (not (tptp.c_Natural_Oevalc @t200 @t297 @t367)) (not @t366)))) % 0.47/0.95 (assume @p250 (forall @t24 (or @t357 @t341 @t21 @t27))) % 0.47/0.95 (assume @p251 (forall @t295 (or @t368 @t174))) % 0.47/0.95 (assume @p252 (forall @t295 (or (not @t368) @t90 @t175 @t173))) % 0.47/0.95 (assume @p253 (forall @t127 (or @t276 @t28 @t290 @t130))) % 0.47/0.95 (assume @p254 (forall @t146 (or (= @t145 (tptp.c_Set_Oinsert @t19 (tptp.c_Set_Oimage @t12 (tptp.hAPP @t177 (tptp.c_Set_Oinsert @t18 @t168 @t9)) @t9 @t1) @t1)) @t143))) % 0.47/0.95 (assume @p255 (forall @t270 (or @t269 (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t369 @t267 tptp.t_a))))) % 0.47/0.95 (assume @p256 (forall @t127 (or @t276 @t28 @t290 @t6))) % 0.47/0.95 (assume @p257 (forall (@list @t12 @t3 @t1 @t9) (= @t242 (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t140 @t12 @t9 (tptp.tc_fun @t103 tptp.tc_bool) @t1) @t1 @t103 tptp.tc_bool) @t3) @t1)))) % 0.47/0.95 (assume @p258 (forall @t370 (or (tptp.c_Nitpick_Ofold__graph_H @t12 @t50 @t4 @t121 @t1 @t9) (not (tptp.c_Nitpick_Ofold__graph_H @t12 @t50 @t273 @t19 @t1 @t9)) @t249))) % 0.47/0.95 (assume @p259 (forall @t289 (or @t274 @t249 @t125))) % 0.47/0.95 (assume @p260 (forall @t127 (or @t124 @t249 @t275))) % 0.47/0.95 (assume @p261 (forall (@list @t12 @t1 @t4 @t73) (or (= (tptp.c_Finite__Set_Osetsum @t12 @t314 @t1 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t12 @t4 @t1 tptp.tc_nat)) @t148))) % 0.47/0.95 (assume @p262 (forall @t370 (or (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t4 @t121 @t1 @t9) @t249 (not (tptp.c_Finite__Set_Ofold__graph @t12 @t50 @t273 @t19 @t1 @t9))))) % 0.47/0.95 (assume @p263 (forall @t192 (or @t371 (= (tptp.c_Finite__Set_Ocard @t159 @t1) (tptp.c_Suc (tptp.c_Finite__Set_Ocard @t35 @t1)))))) % 0.47/0.95 (assume @p264 (forall (@list @t9 @t102 @t372 @t4 @t1) (or @t374 (tptp.c_lessequals (tptp.hAPP @t102 @t372) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 @t102 @t1 @t9) @t9) (not (tptp.hBOOL (tptp.hAPP @t373 @t4)))))) % 0.47/0.95 (assume @p265 (forall (@list @t12 @t4 @t1 @t9 @t73) (or @t91 @t376))) % 0.47/0.95 (assume @p266 (forall (@list @t200 @t9 @t1 @t4 @t18) (or (= (tptp.c_Set_Oimage @t377 @t4 @t1 @t9) (tptp.c_Set_Oinsert @t200 @t168 @t9)) @t249))) % 0.47/0.95 (assume @p267 (forall (@list @t70 @t73 @t1) (or (= @t70 @t73) (not (tptp.hBOOL (tptp.hAPP @t378 @t156)))))) % 0.47/0.95 (assume @p268 (forall @t8 (or @t352 (= @t180 @t4)))) % 0.47/0.95 (assume @p269 (forall (@list @t94 @t18 @t1 @t4) (or @t96 @t380))) % 0.47/0.95 (assume @p270 (forall @t69 (or @t354 @t383 @t382 @t381))) % 0.47/0.95 (assume @p271 (forall @t85 (or @t100 @t101 @t6))) % 0.47/0.95 (assume @p272 (forall @t387 (or @t357 @t386 @t385 @t384))) % 0.47/0.95 (assume @p273 (forall (@list @t12 @t73 @t4 @t1 @t9) (or @t375 @t389 @t175))) % 0.47/0.95 (assume @p274 (forall (@list @t18 @t19 @t4 @t1) (= (tptp.c_Set_Oinsert @t18 @t320 @t1) (tptp.c_Set_Oinsert @t19 @t122 @t1)))) % 0.47/0.95 (assume @p275 (forall (@list @t1 @t4 @t9 @t3) (= (tptp.hAPP @t179 @t169) @t4))) % 0.47/0.95 (assume @p276 (forall (@list @t94 @t93 @t9 @t1 @t172 @t163) (= (tptp.hAPP (tptp.c_COMBB @t94 @t93 @t9 @t1 @t172) @t163) (tptp.hAPP @t94 @t390)))) % 0.47/0.95 (assume @p277 (forall (@list @t94 @t9 @t172 @t1 @t93 @t163) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t94 @t9 @t172 @t1) @t93) @t163) (tptp.hAPP @t391 @t93)))) % 0.47/0.95 (assume @p278 (forall (@list @t1 @t94) (= (tptp.hAPP @t286 @t94) @t94))) % 0.47/0.95 (assume @p279 (forall (@list @t94 @t1 @t9 @t93) (= (tptp.hAPP (tptp.c_COMBK @t94 @t1 @t9) @t93) @t94))) % 0.47/0.95 (assume @p280 (forall (@list @t94 @t93 @t9 @t172 @t1 @t163) (= (tptp.hAPP (tptp.c_COMBS @t94 @t93 @t9 @t172 @t1) @t163) (tptp.hAPP @t391 @t390)))) % 0.47/0.95 (assume @p281 (forall @t181 (= (tptp.hAPP @t311 @t3) @t180))) % 0.47/0.95 (assume @p282 (forall @t24 (or @t358 @t353 @t20))) % 0.47/0.95 (assume @p283 (forall @t192 (or @t358 (not @t392) @t356))) % 0.47/0.95 (assume @p284 (forall @t192 (or @t358 @t355 @t392))) % 0.47/0.95 (assume @p285 (forall @t24 (or @t358 @t381 @t21))) % 0.47/0.95 (assume @p286 (forall @t227 (or @t358 @t20 @t353))) % 0.47/0.95 (assume @p287 (forall @t24 (or @t358 @t27 @t384))) % 0.47/0.95 (assume @p288 (forall @t227 (or @t358 @t359 @t25))) % 0.47/0.95 (assume @p289 (forall @t227 (or @t354 @t21 @t381))) % 0.47/0.95 (assume @p290 (forall (@list @t70 @t200 @t393 @t396 @t395) (or (tptp.c_Natural_Oevalc @t299 @t393 @t396) (not (tptp.c_Natural_Oevalc @t299 @t395 @t396)) (not (tptp.c_Natural_Oevalc @t200 @t393 @t395)) @t394))) % 0.47/0.95 (assume @p291 (forall (@list @t260 @t18 @t1) (= (tptp.c_Set_Oinsert @t260 @t159 @t1) (tptp.c_Set_Oinsert @t18 (tptp.c_Set_Oinsert @t260 @t35 @t1) @t1)))) % 0.47/0.95 (assume @p292 (forall (@list @t1 @t260 @t19 @t18) (or @t212 (not (= (tptp.hAPP (tptp.hAPP @t211 @t260) @t19) @t398)) (= @t260 @t19)))) % 0.47/0.95 (assume @p293 (forall (@list @t1 @t18 @t400 @t399) (or @t212 (not (= @t398 @t401)) (= @t400 @t399)))) % 0.47/0.95 (assume @p294 (forall @t403 (= @t402 @t35))) % 0.47/0.95 (assume @p295 (forall @t409 (or @t408 (not (tptp.c_Natural_Oevalc @t405 @t297 @t395)) @t404))) % 0.47/0.95 (assume @p296 (forall (@list @t70 @t297 @t406 @t247 @t410) (or @t404 @t413 @t412))) % 0.47/0.95 (assume @p297 (forall (@list @t405 @t406 @t393 @t396 @t395) (or (tptp.c_Natural_Oevalc @t414 @t393 @t396) (not (tptp.c_Natural_Oevalc @t406 @t395 @t396)) (not (tptp.c_Natural_Oevalc @t405 @t393 @t395))))) % 0.47/0.95 (assume @p298 (forall (@list @t12 @t1 @t9) (tptp.c_Fun_Oinj__on @t12 @t35 @t1 @t9))) % 0.47/0.95 (assume @p299 (forall @t24 (or @t347 @t415 @t27))) % 0.47/0.95 (assume @p300 (forall @t24 (or @t347 (not @t415) @t25))) % 0.47/0.95 (assume @p301 (forall @t24 (or @t347 (= @t137 @t19) @t21))) % 0.47/0.95 (assume @p302 (forall @t8 (= @t45 @t215))) % 0.47/0.95 (assume @p303 (forall @t24 (or @t347 @t416))) % 0.47/0.95 (assume @p304 (forall @t24 (or @t139 @t416))) % 0.47/0.95 (assume @p305 (forall (@list @t331 @t332 @t330 @t1 @t329 @t327 @t328 @t325 @t326) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t331 @t332 (tptp.c_COMBC @t330 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t329 @t1 @t1 tptp.tc_bool) @t327 @t328 @t325 @t326 @t1) @t333))) % 0.47/0.95 (assume @p306 (forall @t417 (not (= tptp.c_Com_Ocom_OSKIP @t315)))) % 0.47/0.95 (assume @p307 (forall @t419 (= @t418 @t157))) % 0.47/0.95 (assume @p308 (forall (@list @t73 @t1 @t70) (or (not (= @t156 @t335)) @t420))) % 0.47/0.95 (assume @p309 (forall (@list @t200 @t1 @t9) (= (tptp.c_Set_Oimage @t351 @t168 @t9 @t1) @t35))) % 0.47/0.95 (assume @p310 (forall (@list @t18 @t260 @t1) (or (not (= (tptp.c_Set_Oinsert @t18 @t260 @t1) @t35)) (tptp.hBOOL (tptp.hAPP @t119 @t260))))) % 0.47/0.95 (assume @p311 (forall @t365 (or @t362 (not @t422)))) % 0.47/0.95 (assume @p312 (forall @t423 (or @t422 @t361))) % 0.47/0.95 (assume @p313 (forall (@list @t9 @t4 @t102 @t1) (or @t374 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t4 (tptp.c_COMBK @t102 @t9 @t1) @t1 @t9) @t102) @t36))) % 0.47/0.95 (assume @p314 (forall (@list @t19 @t4 @t1 @t18) (or @t321 @t194))) % 0.47/0.95 (assume @p315 (forall (@list @t12 @t18 @t4 @t1 @t9) (or (= (tptp.c_Set_Oinsert @t32 @t113 @t9) @t113) @t249))) % 0.47/0.95 (assume @p316 (forall @t209 (or (= @t424 @t45) @t148))) % 0.47/0.95 (assume @p317 (forall @t210 (or (= @t426 @t60) @t425))) % 0.47/0.95 (assume @p318 (forall @t76 (or @t347 @t77 @t429))) % 0.47/0.95 (assume @p319 (forall (@list @t1 @t18 @t70 @t73) (or @t347 @t71 @t429))) % 0.47/0.95 (assume @p320 (forall @t224 (or @t347 @t430 @t222))) % 0.47/0.95 (assume @p321 (forall @t224 (or @t347 @t430 @t223))) % 0.47/0.95 (assume @p322 (forall @t58 (or @t347 @t25 @t432))) % 0.47/0.95 (assume @p323 (forall @t69 (or @t347 @t68 @t432))) % 0.47/0.95 (assume @p324 (forall @t435 (or @t434 @t340))) % 0.47/0.95 (assume @p325 (forall @t435 (or @t434 @t436))) % 0.47/0.95 (assume @p326 (forall @t437 (tptp.c_lessequals @t421 @t421 tptp.tc_nat))) % 0.47/0.95 (assume @p327 (forall (@list @t1 @t12 @t9) (= @t35 @t402))) % 0.47/0.95 (assume @p328 (forall @t417 (not (= @t315 tptp.c_Com_Ocom_OSKIP)))) % 0.47/0.95 (assume @p329 (forall @t233 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t231 @t2) @t35))) % 0.47/0.95 (assume @p330 (forall (@list @t292 @t291 @t323 @t306 @t302) (not (= @t293 @t324)))) % 0.47/0.95 (assume @p331 (forall @t438 (or @t120 @t380))) % 0.47/0.95 (assume @p332 (forall @t365 (or (= @t203 @t421) @t361 (not @t439)))) % 0.47/0.95 (assume @p333 (forall (@list @t9 @t12 @t73 @t1 @t4) (or (not @t389) @t376))) % 0.47/0.95 (assume @p334 (forall @t284 (or (= @t283 (tptp.c_Set_Oinsert @t18 @t180 @t1)) @t130))) % 0.47/0.95 (assume @p335 (forall @t199 (or @t197 @t441))) % 0.47/0.95 (assume @p336 (forall @t127 (or @t193 @t441))) % 0.47/0.95 (assume @p337 (forall @t442 (or (= (tptp.hAPP @t282 @t159) @t4) @t120))) % 0.47/0.95 (assume @p338 (forall @t117 (= (tptp.c_Set_Ovimage @t12 @t171 @t1 @t9) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t243 @t242 @t2)))) % 0.47/0.95 (assume @p339 (forall (@list @t247 @t297) (or @t443 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t297 @t247))))) % 0.47/0.95 (assume @p340 (forall (@list @t94 @t4 @t1 @t73 @t18) (or @t445 @t149 @t97 @t249))) % 0.47/0.95 (assume @p341 (forall @t256 (or @t446 @t257 @t252))) % 0.47/0.95 (assume @p342 (forall (@list @t93 @t451 @t1 @t4 @t94) (or (tptp.hBOOL (tptp.hAPP @t93 @t451)) @t452 @t450 @t448))) % 0.47/0.95 (assume @p343 (forall (@list @t94 @t451 @t1 @t4 @t93) (or (tptp.hBOOL (tptp.hAPP @t94 @t451)) @t452 @t450 @t448))) % 0.47/0.95 (assume @p344 (forall (@list @t93 @t260 @t1 @t4 @t94) (or (tptp.hBOOL (tptp.hAPP @t93 @t260)) @t262 @t454 @t453))) % 0.47/0.95 (assume @p345 (forall (@list @t94 @t260 @t1 @t4 @t93) (or @t263 @t262 @t454 @t453))) % 0.47/0.95 (assume @p346 (forall @t462 (or @t461 @t460 @t457))) % 0.47/0.95 (assume @p347 (forall (@list @t1 @t73 @t70 @t4) (or @t463 @t149))) % 0.47/0.95 (assume @p348 (forall (@list @t1 @t73 @t70 @t3) (or (tptp.hBOOL (tptp.hAPP @t147 @t213)) (not (tptp.hBOOL (tptp.hAPP @t147 @t3)))))) % 0.47/0.95 (assume @p349 (forall (@list @t1 @t372 @t330 @t455 @t367) (or @t467 @t466 @t457))) % 0.47/0.95 (assume @p350 (forall (@list @t1 @t4 @t94 @t73) (or @t470 @t149 @t469))) % 0.47/0.95 (assume @p351 (forall @t192 @t471)) % 0.47/0.95 (assume @p352 (forall @t472 (or @t96 @t471))) % 0.47/0.95 (assume @p353 (forall (@list @t1 @t200) (not (tptp.hBOOL (tptp.hAPP @t250 @t35))))) % 0.47/0.95 (assume @p354 (forall @t473 (not (tptp.hBOOL (tptp.hAPP @t147 @t35))))) % 0.47/0.95 (assume @p355 (forall (@list @t1 @t372 @t329 @t455 @t367) (or @t476 @t460 @t475))) % 0.47/0.95 (assume @p356 (forall (@list @t1 @t73 @t4 @t70) (or @t148 @t420 (not @t463)))) % 0.47/0.95 (assume @p357 (forall @t462 (or @t477 @t466 @t475))) % 0.47/0.95 (assume @p358 (forall @t254 (or @t257 @t479))) % 0.47/0.95 (assume @p359 (forall @t256 (or @t251 @t479))) % 0.47/0.95 (assume @p360 (forall (@list @t1 @t4 @t94 @t73 @t18) (or @t470 @t149 @t97 @t249))) % 0.47/0.95 (assume @p361 (forall @t481 (or (tptp.hBOOL (tptp.hAPP @t94 @t480)) @t249 @t97))) % 0.47/0.95 (assume @p362 (forall @t481 (or (tptp.hBOOL (tptp.hAPP @t94 @t482)) @t97 @t249))) % 0.47/0.95 (assume @p363 (forall @t227 (or @t358 @t359 @t353 @t341))) % 0.47/0.95 (assume @p364 (forall @t24 (or @t357 @t341 @t27 @t21))) % 0.47/0.95 (assume @p365 (forall @t227 (or @t358 @t359 @t341 @t353))) % 0.47/0.95 (assume @p366 (forall @t24 (or @t358 @t341 @t353 @t359))) % 0.47/0.95 (assume @p367 (forall @t224 (or @t347 @t483 (not (tptp.c_HOL_Oord__class_Oless @t70 @t18 @t1))))) % 0.47/0.95 (assume @p368 (forall @t224 (or @t347 @t483 (not (tptp.c_HOL_Oord__class_Oless @t73 @t18 @t1))))) % 0.47/0.95 (assume @p369 (forall @t24 (or @t357 @t25 @t381))) % 0.47/0.95 (assume @p370 (forall @t24 (or @t354 @t25 @t381))) % 0.47/0.95 (assume @p371 (forall @t486 (or @t485 @t484 @t201))) % 0.47/0.95 (assume @p372 (forall @t486 (or @t485 @t487 @t201))) % 0.47/0.95 (assume @p373 (forall @t486 (or @t485 @t484 @t488))) % 0.47/0.95 (assume @p374 (forall @t486 (or @t485 @t487 @t488))) % 0.47/0.95 (assume @p375 (forall (@list @t410 @t297 @t247 @t70 @t406) (or @t489 @t298 @t412))) % 0.47/0.95 (assume @p376 (forall @t409 (or @t408 (not (tptp.c_Natural_Oevalc @t406 @t297 @t395)) @t298))) % 0.47/0.95 (assume @p377 (forall (@list @t200 @t9 @t1 @t4) (or (= (tptp.c_Set_Ovimage @t377 @t4 @t1 @t9) @t35) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t200) @t4))))) % 0.47/0.95 (assume @p378 (forall @t495 (or @t494 (= @t491 @t490)))) % 0.47/0.95 (assume @p379 (forall @t495 (or @t494 @t436))) % 0.47/0.95 (assume @p380 (forall @t495 (or @t494 (= @t493 @t492)))) % 0.47/0.95 (assume @p381 (forall (@list @t331 @t73 @t4 @t1 @t327 @t332 @t330 @t329 @t328 @t326 @t325) (or (= (tptp.hAPP @t331 @t157) (tptp.hAPP @t334 @t496)) @t333))) % 0.47/0.95 (assume @p382 (forall (@list @t332 @t73 @t4 @t1 @t328 @t331 @t330 @t329 @t327 @t326 @t325) (or (= (tptp.hAPP @t332 @t157) (tptp.hAPP @t337 @t497)) @t333))) % 0.47/0.95 (assume @p383 (forall (@list @t1 @t4 @t3 @t94 @t9 @t260 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t499) @t170)) @t264 @t498 @t143))) % 0.47/0.95 (assume @p384 (forall (@list @t1 @t73 @t4) (not (= @t35 @t157)))) % 0.47/0.95 (assume @p385 (forall @t210 (or (= @t426 (tptp.c_Set_Oinsert @t73 @t60 @t1)) (not @t425)))) % 0.47/0.95 (assume @p386 (forall @t209 (or (= @t424 @t318) @t149))) % 0.47/0.95 (assume @p387 (forall @t280 (= (tptp.c_Set_Oimage @t12 @t279 @t9 @t1) (tptp.c_Set_Oinsert @t316 @t116 @t1)))) % 0.47/0.95 (assume @p388 (forall (@list @t12 @t73 @t70 @t1 @t9) (or (= @t316 @t70) (not (tptp.hBOOL (tptp.hAPP @t147 (tptp.c_Set_Ovimage @t12 (tptp.c_Set_Oinsert @t70 @t168 @t9) @t1 @t9))))))) % 0.47/0.95 (assume @p389 (forall @t24 (or @t139 @t500))) % 0.47/0.95 (assume @p390 (forall @t24 (or @t139 @t501))) % 0.47/0.95 (assume @p391 (forall @t58 (or @t347 @t431 @t229 @t27))) % 0.47/0.95 (assume @p392 (forall @t76 (or @t347 @t428 @t72 @t78))) % 0.47/0.95 (assume @p393 (forall @t24 (or @t347 @t501))) % 0.47/0.95 (assume @p394 (forall @t24 (or @t347 @t500))) % 0.47/0.95 (assume @p395 (forall (@list @t73 @t9 @t3 @t1) (= (tptp.c_Set_Oinsert @t73 @t169 @t1) @t156))) % 0.47/0.95 (assume @p396 (forall @t502 (not (= @t305 tptp.c_Com_Ocom_OSKIP)))) % 0.47/0.95 (assume @p397 (forall @t365 (or @t361 (not (tptp.c_lessequals @t503 @t360 tptp.tc_nat))))) % 0.47/0.95 (assume @p398 (forall @t365 (or @t439 @t362))) % 0.47/0.95 (assume @p399 (forall (@list @t1 @t94 @t18) (or (not (= @t35 @t300)) @t97))) % 0.47/0.95 (assume @p400 (forall @t319 (tptp.hBOOL (tptp.hAPP @t122 @t18)))) % 0.47/0.95 (assume @p401 (forall @t437 (not (tptp.c_lessequals @t421 @t360 tptp.tc_nat)))) % 0.47/0.95 (assume @p402 (forall (@list @t12 @t11 @t4 @t172 @t9 @t1) (= (tptp.c_Set_Oimage @t12 (tptp.c_Set_Oimage @t11 @t4 @t172 @t9) @t9 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t12 @t11 @t9 @t1 @t172) @t4 @t172 @t1)))) % 0.47/0.95 (assume @p403 (forall @t24 (or @t139 @t504))) % 0.47/0.95 (assume @p404 (forall @t24 (or @t347 @t504))) % 0.47/0.95 (assume @p405 (forall @t8 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t45 @t2) @t45))) % 0.47/0.95 (assume @p406 (forall (@list @t292 @t291 @t306 @t302) (not (= @t293 @t307)))) % 0.47/0.95 (assume @p407 (forall (@list @t331 @t1 @t326 @t332 @t330 @t329 @t328 @t327 @t325) (or (= (tptp.hAPP @t331 @t35) @t326) @t333))) % 0.47/0.95 (assume @p408 (forall (@list @t332 @t1 @t325 @t331 @t330 @t329 @t328 @t327 @t326) (or (= (tptp.hAPP @t332 @t35) @t325) @t333))) % 0.47/0.95 (assume @p409 (forall (@list @t70 @t297 @t247 @t200) (or @t298 @t443 (not (tptp.c_Natural_Oevalc @t299 @t297 @t247))))) % 0.47/0.95 (assume @p410 (forall @t437 (not (= @t421 @t360)))) % 0.47/0.95 (assume @p411 (forall @t437 (not (= @t360 @t421)))) % 0.47/0.95 (assume @p412 (forall @t419 (or (= @t418 @t4) @t149))) % 0.47/0.95 (assume @p413 (forall @t192 (or @t347 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t18 @t1) @t18)))) % 0.47/0.95 (assume @p414 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t2) @t4))) % 0.47/0.95 (assume @p415 (forall @t387 (or @t357 @t228 @t505 @t21))) % 0.47/0.95 (assume @p416 (forall @t387 (or @t357 @t386 @t505 @t384))) % 0.47/0.95 (assume @p417 (forall @t387 (or @t357 @t386 @t385 @t21))) % 0.47/0.95 (assume @p418 (forall @t69 (or @t354 @t68 @t230 @t27))) % 0.47/0.95 (assume @p419 (forall @t437 (tptp.c_lessequals @t360 @t360 tptp.tc_nat))) % 0.47/0.95 (assume @p420 (forall (@list @t372 @t154 @t506) (or (tptp.c_lessequals @t372 @t154 tptp.tc_nat) (not (tptp.c_lessequals @t506 @t154 tptp.tc_nat)) (not (tptp.c_lessequals @t372 @t506 tptp.tc_nat))))) % 0.47/0.95 (assume @p421 (forall @t507 (tptp.c_lessequals @t18 @t18 tptp.tc_nat))) % 0.47/0.95 (assume @p422 (forall @t192 (or @t357 @t392))) % 0.47/0.95 (assume @p423 (forall @t192 (or @t354 @t392))) % 0.47/0.95 (assume @p424 (forall @t69 (or @t354 @t383 @t382 @t27))) % 0.47/0.95 (assume @p425 (forall @t69 (or @t354 @t383 @t230 @t381))) % 0.47/0.95 (assume @p426 (forall @t186 (or (not (= @t114 @t35)) @t296))) % 0.47/0.95 (assume @p427 (forall @t473 (= @t272 @t156))) % 0.47/0.95 (assume @p428 (forall @t184 (= (tptp.hAPP (tptp.hAPP @t109 @t45) @t39) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t239 @t2)))) % 0.47/0.95 (assume @p429 (forall (@list @t331 @t73 @t1 @t332 @t330 @t329 @t328 @t327 @t326 @t325) (or (= (tptp.hAPP @t331 @t156) @t73) @t333))) % 0.47/0.95 (assume @p430 (forall (@list @t332 @t73 @t1 @t331 @t330 @t329 @t328 @t327 @t326 @t325) (or (= (tptp.hAPP @t332 @t156) @t73) @t333))) % 0.47/0.95 (assume @p431 (forall @t192 (tptp.hBOOL (tptp.hAPP @t119 @t159)))) % 0.47/0.95 (assume @p432 (forall @t438 (or @t379 @t97 @t249))) % 0.47/0.95 (assume @p433 (forall (@list @t4 @t12 @t18 @t1 @t9) (or @t509 (not @t508)))) % 0.47/0.95 (assume @p434 (forall (@list @t12 @t4 @t1 @t9 @t18) (or @t508 (not @t509)))) % 0.47/0.95 (assume @p435 (forall @t126 (or @t440 @t198 @t194))) % 0.47/0.95 (assume @p436 (forall @t513 (or @t512 @t511 @t510 @t21))) % 0.47/0.95 (assume @p437 (forall @t513 (or @t512 @t511 @t20 (not @t510)))) % 0.47/0.95 (assume @p438 (forall @t513 (or @t512 @t511 @t514 @t381))) % 0.47/0.95 (assume @p439 (forall @t513 (or @t512 @t511 @t353 (not @t514)))) % 0.47/0.95 (assume @p440 (forall @t473 (= (tptp.c_Collect (tptp.hAPP @t271 @t73) @t1) @t156))) % 0.47/0.95 (assume @p441 (forall @t517 (or @t357 @t516 @t420 @t515))) % 0.47/0.95 (assume @p442 (forall @t517 (or @t357 @t516 @t515 @t420))) % 0.47/0.95 (assume @p443 (forall @t24 (or @t357 @t341 @t353 @t27))) % 0.47/0.95 (assume @p444 (forall @t24 (or @t357 @t353 @t341 @t27))) % 0.47/0.95 (assume @p445 (forall @t520 (or @t357 @t519 @t420 @t518))) % 0.47/0.95 (assume @p446 (forall @t520 (or @t357 @t519 @t518 @t420))) % 0.47/0.95 (assume @p447 (forall @t24 (or @t358 @t341 @t27 @t353))) % 0.47/0.95 (assume @p448 (forall @t24 (or @t358 @t341 @t353 @t27))) % 0.47/0.95 (assume @p449 (forall @t403 (= (tptp.c_Set_Ovimage @t12 @t168 @t1 @t9) @t35))) % 0.47/0.95 (assume @p450 (forall (@list @t410 @t297 @t247 @t406 @t70) (or @t489 @t413 @t412))) % 0.47/0.95 (assume @p451 (forall @t208 (= (tptp.c_Collect (tptp.hAPP @t161 @t4) @t1) @t4))) % 0.47/0.95 (assume @p452 (forall @t423 (or @t363 (not @t521)))) % 0.47/0.95 (assume @p453 (forall @t423 (or @t521 @t364))) % 0.47/0.95 (assume @p454 (forall @t502 (not (= tptp.c_Com_Ocom_OSKIP @t305)))) % 0.47/0.95 (assume @p455 (forall @t520 (or @t357 @t523 @t522))) % 0.47/0.95 (assume @p456 (forall @t24 (or @t358 @t381 @t384))) % 0.47/0.95 (assume @p457 (forall @t423 (or @t363 @t361))) % 0.47/0.95 (assume @p458 (forall @t227 (or @t358 @t20 @t25))) % 0.47/0.95 (assume @p459 (forall @t227 (or @t354 @t384 @t381))) % 0.47/0.95 (assume @p460 (forall @t517 (or @t354 @t522 @t523))) % 0.47/0.95 (assume @p461 (forall (@list @t329 @t455 @t372 @t1 @t330 @t367) (or @t474 @t524))) % 0.47/0.95 (assume @p462 (forall (@list @t330 @t372 @t367 @t1 @t329 @t455) (or @t465 @t524))) % 0.47/0.95 (assume @p463 (forall @t254 (or @t253 @t252 @t6))) % 0.47/0.95 (assume @p464 (forall @t442 (tptp.hBOOL (tptp.hAPP @t119 @t122)))) % 0.47/0.95 (assume @p465 (forall (@list @t1 @t73 @t3) (tptp.hBOOL (tptp.hAPP @t147 @t207)))) % 0.47/0.95 (assume @p466 (forall (@list @t1 @t18 @t3) (tptp.hBOOL (tptp.hAPP @t119 @t123)))) % 0.47/0.95 (assume @p467 (forall (@list @t93 @t525 @t1 @t4 @t94) (or (tptp.hBOOL (tptp.hAPP @t93 @t525)) @t526 @t454 @t448))) % 0.47/0.95 (assume @p468 (forall (@list @t94 @t525 @t1 @t4 @t93) (or (tptp.hBOOL (tptp.hAPP @t94 @t525)) @t526 @t454 @t448))) % 0.47/0.95 (assume @p469 (forall (@list @t93 @t18 @t1 @t4 @t94) (or @t98 @t249 @t450 @t453))) % 0.47/0.95 (assume @p470 (forall (@list @t94 @t18 @t1 @t4 @t93) (or @t96 @t249 @t450 @t453))) % 0.47/0.95 (assume @p471 (forall (@list @t93 @t530 @t1 @t4 @t94) (or (tptp.hBOOL (tptp.hAPP @t93 @t530)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t530) @t4))) @t529 @t528))) % 0.47/0.95 (assume @p472 (forall (@list @t94 @t531 @t1 @t4 @t93) (or (tptp.hBOOL (tptp.hAPP @t94 @t531)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t531) @t4))) @t529 @t528))) % 0.47/0.95 (assume @p473 (forall @t438 (or @t249 @t96 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t532) @t4))))) % 0.47/0.95 (assume @p474 (forall (@list @t94 @t4 @t1 @t73) (or @t445 @t149 @t469))) % 0.47/0.95 (assume @p475 (forall (@list @t329 @t455 @t372 @t1 @t367) (or @t474 @t533))) % 0.47/0.95 (assume @p476 (forall (@list @t329 @t372 @t367 @t1 @t455) (or @t459 @t533))) % 0.47/0.95 (assume @p477 (forall @t254 (or @t253 @t534))) % 0.47/0.95 (assume @p478 (forall @t256 (or @t251 @t534))) % 0.47/0.95 (assume @p479 (forall @t537 (or @t536 @t535 @t249 @t341 @t175))) % 0.47/0.95 (assume @p480 (forall @t537 (or @t536 @t535 @t249 @t175 @t341))) % 0.47/0.95 (assume @p481 (forall (@list @t12 @t18 @t260 @t1 @t4 @t9) (or (not (= @t32 (tptp.hAPP @t12 @t260))) @t262 @t249 @t175 (= @t18 @t260)))) % 0.47/0.95 (assume @p482 (forall (@list @t12 @t18 @t19 @t4 @t1 @t9) (or @t536 @t175 @t341 @t535 @t249))) % 0.47/0.95 (assume @p483 (forall @t472 (or @t97 @t471))) % 0.47/0.95 (assume @p484 (forall @t167 (or (not (= @t164 @t162)) (= @t163 @t160)))) % 0.47/0.95 (assume @p485 (forall (@list @t1 @t73 @t94) (or @t538 @t469))) % 0.47/0.95 (assume @p486 (forall (@list @t94 @t73 @t1) (or @t468 (not @t538)))) % 0.47/0.95 (assume @p487 (forall (@list @t1 @t372 @t330 @t154) (or @t540 (not @t539)))) % 0.47/0.95 (assume @p488 (forall (@list @t330 @t372 @t154 @t1) (or @t539 (not @t540)))) % 0.47/0.95 (assume @p489 (forall @t256 (or @t478 @t253 @t252))) % 0.47/0.95 (assume @p490 (forall (@list @t93 @t542 @t1 @t4 @t94) (or (tptp.hBOOL (tptp.hAPP @t93 @t542)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t542) @t4))) @t541))) % 0.47/0.95 (assume @p491 (forall (@list @t94 @t543 @t1 @t4 @t93) (or (tptp.hBOOL (tptp.hAPP @t94 @t543)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t543) @t4))) @t541))) % 0.47/0.95 (assume @p492 (forall @t438 (or @t249 @t96 (not (tptp.hBOOL (tptp.hAPP @t94 @t532)))))) % 0.47/0.95 (assume @p493 (forall @t133 (or (not (= @t122 @t123)) @t130 @t120 @t115))) % 0.47/0.95 (assume @p494 (forall @t544 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t480) @t4)) @t249 @t97))) % 0.47/0.95 (assume @p495 (forall (@list @t1 @t70 @t4 @t3 @t9 @t18) (or (tptp.hBOOL (tptp.hAPP @t378 @t170)) (not (tptp.hBOOL (tptp.hAPP @t378 @t196))) @t143))) % 0.47/0.95 (assume @p496 (forall (@list @t9 @t70 @t4 @t3 @t1 @t73) (or (tptp.hBOOL (tptp.hAPP @t545 @t150)) (not (tptp.hBOOL (tptp.hAPP @t545 @t151))) @t149))) % 0.47/0.95 (assume @p497 (forall @t548 (or @t547 (not @t546)))) % 0.47/0.95 (assume @p498 (forall (@list @t329 @t154 @t372 @t1) (or @t546 (not @t547)))) % 0.47/0.95 (assume @p499 (forall (@list @t94 @t4 @t3 @t9 @t1 @t260 @t18) (or (tptp.hBOOL (tptp.hAPP @t94 @t499)) @t264 @t498 @t143))) % 0.47/0.95 (assume @p500 (forall (@list @t1 @t73 @t12 @t3 @t9) (or @t550 (not @t549)))) % 0.47/0.95 (assume @p501 (forall (@list @t9 @t73 @t12 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP @t552 @t185)) (not (tptp.hBOOL (tptp.hAPP @t551 @t4)))))) % 0.47/0.95 (assume @p502 (forall (@list @t9 @t73 @t12 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t552 @t235)) (not (tptp.hBOOL (tptp.hAPP @t551 @t3)))))) % 0.47/0.95 (assume @p503 (forall (@list @t9 @t12 @t73 @t3 @t1) (or @t549 (not @t550)))) % 0.47/0.95 (assume @p504 (forall (@list @t9 @t12 @t73 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP @t388 @t4)) (not (tptp.hBOOL (tptp.hAPP @t147 @t243)))))) % 0.47/0.95 (assume @p505 (forall (@list @t330 @t332 @t4 @t18 @t1 @t331 @t329 @t328 @t327 @t326 @t325) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t330 @t497) @t18)) @t249 @t333))) % 0.47/0.95 (assume @p506 (forall (@list @t330 @t18 @t331 @t4 @t1 @t332 @t329 @t328 @t327 @t326 @t325) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t330 @t18) @t496)) @t249 @t333))) % 0.47/0.95 (assume @p507 (forall (@list @t330 @t372 @t367 @t1 @t455) (or @t465 @t553))) % 0.47/0.95 (assume @p508 (forall (@list @t330 @t455 @t372 @t1 @t367) (or @t456 @t553))) % 0.47/0.95 (assume @p509 (forall (@list @t94 @t4 @t3 @t1 @t18) (or @t554 @t97 @t132))) % 0.47/0.95 (assume @p510 (forall (@list @t94 @t4 @t3 @t1 @t260) (or @t554 @t264 @t262))) % 0.47/0.95 (assume @p511 (forall @t544 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t482) @t4)) @t97 @t249))) % 0.47/0.95 (assume @p512 (forall @t158 (or (= @t157 @t4) @t149))) % 0.47/0.95 (assume @p513 (forall @t548 (or @t556 (not @t555)))) % 0.47/0.95 (assume @p514 (forall (@list @t329 @t372 @t154 @t1) (or @t555 (not @t556)))) % 0.47/0.95 (assume @p515 (forall (@list @t4 @t3 @t1 @t9 @t172 @t70 @t200 @t18) (or @t558 (not (tptp.hBOOL (tptp.hAPP @t557 @t200))) @t249))) % 0.47/0.95 (assume @p516 (forall (@list @t4 @t3 @t1 @t9 @t70 @t18) (or @t559 (not (tptp.hBOOL @t557)) @t249))) % 0.47/0.95 (assume @p517 (forall (@list @t4 @t3 @t1 @t9 @t172 @t70 @t200 @t73) (or @t558 (not (tptp.hBOOL (tptp.hAPP @t560 @t200))) @t149))) % 0.47/0.95 (assume @p518 (forall (@list @t4 @t3 @t1 @t9 @t70 @t73) (or @t559 (not (tptp.hBOOL @t560)) @t149))) % 0.47/0.95 (assume @p519 (forall (@list @t329 @t372 @t367 @t1 @t330 @t455) (or @t459 @t561))) % 0.47/0.95 (assume @p520 (forall (@list @t330 @t455 @t372 @t1 @t329 @t367) (or @t456 @t561))) % 0.47/0.95 (assume @p521 (forall @t544 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t562) @t4)) @t97 @t249))) % 0.47/0.95 (assume @p522 (forall @t481 (or (tptp.hBOOL (tptp.hAPP @t94 @t562)) @t97 @t249))) % 0.47/0.95 (assume @p523 (forall (@list @t34 @t18 @t4 @t1 @t12) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t18) @t4))) (tptp.hBOOL (tptp.hAPP @t144 (tptp.c_Set_Oimage @t12 @t4 @t34 @t1)))))) % 0.47/0.95 (assume @p524 (forall (@list @t9 @t18 @t4 @t1 @t12) (or @t143 @t563))) % 0.47/0.95 (assume @p525 (forall (@list @t1 @t12 @t18 @t4 @t9) (or @t563 @t143))) % 0.47/0.95 (assume @p526 (forall (@list @t9 @t12 @t18 @t4 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t140 @t32) @t113)) @t249))) % 0.47/0.95 (assume @p527 (forall (@list @t410 @t297 @t360 @t247 @t406 @t70) (or @t566 @t565 @t564))) % 0.47/0.95 (assume @p528 (forall (@list @t70 @t297 @t247 @t200 @t360) (or @t298 @t443 (not (tptp.c_Natural_Oevaln @t299 @t297 @t360 @t247))))) % 0.47/0.95 (assume @p529 (forall (@list @t200 @t297 @t203 @t247 @t360) (or (tptp.c_Natural_Oevaln @t200 @t297 @t203 @t247) @t364 @t567))) % 0.47/0.95 (assume @p530 (forall (@list @t297 @t360) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t297 @t360 @t297))) % 0.47/0.95 (assume @p531 (forall @t569 (or @t568 (not (tptp.c_Natural_Oevaln @t406 @t297 @t360 @t395)) @t298))) % 0.47/0.95 (assume @p532 (forall (@list @t410 @t297 @t360 @t247 @t70 @t406) (or @t566 @t298 @t564))) % 0.47/0.95 (assume @p533 (forall (@list @t200 @t297 @t360 @t570) (or (tptp.c_Natural_Oevaln @t200 @t297 @t421 @t570) @t571))) % 0.47/0.95 (assume @p534 (forall (@list @t410 @t396 @t406 @t395 @t572 @t575 @t576 @t573) (or (tptp.c_Natural_Oevaln @t410 @t396 @t578 @t575) @t577 @t574))) % 0.47/0.95 (assume @p535 (forall (@list @t406 @t395 @t410 @t396 @t572 @t575 @t576 @t573) (or (tptp.c_Natural_Oevaln @t406 @t395 @t578 @t572) @t577 @t574))) % 0.47/0.95 (assume @p536 (forall (@list @t70 @t200 @t297 @t360) (or (tptp.c_Natural_Oevaln @t299 @t297 @t360 @t297) @t298))) % 0.47/0.95 (assume @p537 (forall @t569 (or @t568 (not (tptp.c_Natural_Oevaln @t405 @t297 @t360 @t395)) @t404))) % 0.47/0.95 (assume @p538 (forall (@list @t70 @t297 @t406 @t360 @t247 @t410) (or @t404 @t565 @t564))) % 0.47/0.95 (assume @p539 (forall (@list @t70 @t200 @t393 @t360 @t396 @t395) (or (tptp.c_Natural_Oevaln @t299 @t393 @t360 @t396) (not (tptp.c_Natural_Oevaln @t299 @t395 @t360 @t396)) (not (tptp.c_Natural_Oevaln @t200 @t393 @t360 @t395)) @t394))) % 0.47/0.95 (assume @p540 (forall (@list @t405 @t406 @t393 @t360 @t396 @t395) (or (tptp.c_Natural_Oevaln @t414 @t393 @t360 @t396) (not (tptp.c_Natural_Oevaln @t406 @t395 @t360 @t396)) (not (tptp.c_Natural_Oevaln @t405 @t393 @t360 @t395))))) % 0.47/0.95 (assume @p541 (forall (@list @t247 @t297 @t360) (or @t443 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t297 @t360 @t247))))) % 0.47/0.95 (assume @p542 (forall (@list @t200 @t297 @t247 @t360) (or @t366 @t567))) % 0.47/0.95 (assume @p543 (forall (@list @t200 @t297 @t247 @t18) (or @t366 (not (tptp.c_Natural_Oevaln @t200 @t297 @t18 @t247))))) % 0.47/0.95 (assume @p544 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 0.47/0.95 (assume @p545 (forall (@list @t360 @t247 @t1) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t247 @t1) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t421 @t247 @t1))))) % 0.47/0.95 (assume @p546 (forall (@list @t360 @t581 @t265 @t266) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t581 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t581) @t265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t580) @t266)) @t579))) % 0.47/0.95 (assume @p547 (forall (@list @t360 @t260 @t265) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t260 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t260) @t265))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t421 @t582 tptp.t_a))))) % 0.47/0.95 (assume @p548 (forall (@list @t266 @t265 @t18) (or @t269 (tptp.c_Hoare__Mirabelle_Otriple__valid @t369 @t18 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t583 @t266)))))) % 0.47/0.95 (assume @p549 (forall (@list @t360 @t584 @t265 @t266) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t584 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t584) @t265))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t580 tptp.t_a)) @t579))) % 0.47/0.95 (assume @p550 (= (tptp.c_Hoare__Mirabelle_Opeek__and tptp.v_P tptp.v_p tptp.v_Z tptp.v_s tptp.t_a) (tptp.c_and @t585 (tptp.hAPP tptp.v_p tptp.v_s)))) % 0.47/0.95 (assume @p551 (forall (@list @t94 @t586) (= (tptp.c_Hoare__Mirabelle_Opeek__and @t94 @t586 tptp.v_Z tptp.v_s tptp.t_a) (tptp.c_and (tptp.hAPP (tptp.hAPP @t94 tptp.v_Z) tptp.v_s) (tptp.hAPP @t586 tptp.v_s))))) % 0.47/0.95 (assume @p552 (forall (@list @t93 @t587 @t570 @t200 @t297 @t360 @t94) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t93 @t587) @t570)) @t571 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t94 @t587) @t297))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t94 @t200 @t93 tptp.t_a) tptp.t_a))))) % 0.47/0.95 (assume @p553 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 0.47/0.95 (assume @p554 (forall (@list @t360 @t18 @t265) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t360 @t18 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t583 @t265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t268 @t582) @t265))))) % 0.47/0.95 (assume @p555 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P @t588))) % 0.47/0.95 (assume @p556 (= (tptp.hAPP (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP @t589 @t588))) % 0.47/0.95 (assume @p557 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.v_P tptp.t_a tptp.t_b tptp.t_c) tptp.v_Q) tptp.v_R) (tptp.hAPP @t589 tptp.v_Q))) % 0.47/0.95 (assume @p558 (forall (@list @t1 @t18 @t160) (or @t591 (not @t590)))) % 0.47/0.95 (assume @p559 (forall (@list @t160 @t18 @t1) (or @t590 (not @t591)))) % 0.47/0.95 (assume @p560 @t592) % 0.47/0.95 (assume @p561 @t593) % 0.47/0.95 (assume @p562 @t594) % 0.47/0.95 (assume @p563 (not @t595)) % 0.47/0.95 (assume @p564 (forall @t507 (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_n @t18 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t583 tptp.v_Ga)))))) % 0.47/0.95 (assume @p565 @t598) % 0.47/0.95 (assume @p566 (forall @t597 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_R @t587) @t570)) (not (tptp.c_Natural_Oevaln tptp.v_d @t297 tptp.v_n @t570)) (not (tptp.hBOOL (tptp.hAPP @t596 @t297)))))) % 0.47/0.95 (assume @p567 (forall @t602 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t601) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t599))))) % 0.47/0.95 (assume @p568 (forall @t602 (or (tptp.class_Lattices_Oupper__semilattice @t601) @t603))) % 0.47/0.95 (assume @p569 (forall @t602 (or (tptp.class_Lattices_Olower__semilattice @t601) @t603))) % 0.47/0.95 (assume @p570 (forall @t602 (or (tptp.class_Lattices_Odistrib__lattice @t601) (not (tptp.class_Lattices_Odistrib__lattice @t599))))) % 0.47/0.95 (assume @p571 (forall @t602 (or (tptp.class_Lattices_Obounded__lattice @t601) (not (tptp.class_Lattices_Obounded__lattice @t599))))) % 0.47/0.95 (assume @p572 (forall @t602 (or (tptp.class_Orderings_Opreorder @t601) (not (tptp.class_Orderings_Opreorder @t599))))) % 0.47/0.95 (assume @p573 (forall @t602 (or (tptp.class_Lattices_Olattice @t601) @t603))) % 0.47/0.95 (assume @p574 (forall @t602 (or (tptp.class_Orderings_Oorder @t601) (not (tptp.class_Orderings_Oorder @t599))))) % 0.47/0.95 (assume @p575 (forall @t602 (or (tptp.class_Orderings_Obot @t601) (not (tptp.class_Orderings_Obot @t599))))) % 0.47/0.95 (assume @p576 (forall @t602 (or (tptp.class_HOL_Oord @t601) (not (tptp.class_HOL_Oord @t599))))) % 0.47/0.95 (assume @p577 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.47/0.95 (assume @p578 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.47/0.95 (assume @p579 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.47/0.95 (assume @p580 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.47/0.95 (assume @p581 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.47/0.95 (assume @p582 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.47/0.95 (assume @p583 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.47/0.95 (assume @p584 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.47/0.95 (assume @p585 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.47/0.95 (assume @p586 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.47/0.95 (assume @p587 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.47/0.95 (assume @p588 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.47/0.95 (assume @p589 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.47/0.95 (assume @p590 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.47/0.95 (assume @p591 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.47/0.95 (assume @p592 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.47/0.95 (assume @p593 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.47/0.95 (assume @p594 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.47/0.95 (assume @p595 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.47/0.95 (assume @p596 (forall @t192 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t271 @t18) @t18)))) % 0.47/0.95 (assume @p597 (forall (@list @t604 @t285 @t1) (or (= @t604 @t285) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t271 @t604) @t285)))))) % 0.47/0.95 (step @p598 :rule instantiate :premises (@p566) :args ((@list tptp.v_Z tptp.v_s_H tptp.v_s1))) % 0.47/0.95 (step @p599 :rule cnf_or_pos :args (@t608)) % 0.47/0.95 (step @p600 :rule reordering :premises (@p599) :args ((or @t595 @t607 @t606 (not @t608)))) % 0.47/0.95 (step @p601 :rule chain_m_resolution :premises (@p600 @p563 @p562 @p598) :args (@t606 (@list true false false) (@list @t595 @t594 @t608))) % 0.47/0.95 (step @p602 :rule cnf_or_pos :args (@t611)) % 0.47/0.95 (step @p603 :rule reordering :premises (@p602) :args ((or @t609 @t610 @t605 @t612))) % 0.47/0.95 (step @p604 :rule chain_m_resolution :premises (@p603 @p560 @p561 @p601) :args (@t612 (@list false false true) (@list @t592 @t593 @t605))) % 0.47/0.95 (assume-push @p611 @t598) % 0.47/0.95 (step @p606 :rule instantiate :premises (@p565) :args ((@list tptp.v_Z tptp.v_s1 tptp.v_s))) % 0.47/0.95 (step-pop @p612 :rule scope :premises (@p606)) % 0.47/0.95 (step @p607 :rule process_scope :premises (@p612) :args (@t611)) % 0.47/0.95 (step @p609 :rule implies_elim :premises (@p607)) % 0.47/0.95 (step @p610 false :rule chain_m_resolution :premises (@p609 @p604 @p565) :args (false (@list true false) (@list @t611 @t598))) % 0.47/0.95 ) % 0.47/0.95 % SZS output end Proof % 0.47/0.95 % cvc5 exiting %------------------------------------------------------------------------------