%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV907-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:35 AM UTC 2026 % Result : Unsatisfiable 0.47s 1.01s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV907-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:21:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/1.01 % SZS status Unsatisfiable % 0.47/1.01 % SZS output start Proof % 0.86/1.03 ( % 0.86/1.03 (declare-sort $$unsorted 0) % 0.86/1.03 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_y $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.86/1.03 (declare-const tptp.v_c $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_Obody $$unsorted) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.86/1.03 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_pn $$unsorted) % 0.86/1.03 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.86/1.03 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Map_Osko__Map__XdomD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.t_a $$unsorted) % 0.86/1.03 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.tc_bool $$unsorted) % 0.86/1.03 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_Ocom__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Com_Ocom_Ocom__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Map_Omap__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.v_x $$unsorted) % 0.86/1.03 (declare-const tptp.t_b $$unsorted) % 0.86/1.03 (declare-const tptp.c_ATP__Linkup_Osko__Option__Xospec__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_Ooption__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Ooption_Ooption__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Option_Ois__none (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.86/1.03 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 0.86/1.03 (declare-const tptp.tc_nat $$unsorted) % 0.86/1.03 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.86/1.03 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.03 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.86/1.03 (define @t1 () (@var "V_com1_H" $$unsorted)) % 0.86/1.03 (define @t2 () (@var "V_com1" $$unsorted)) % 0.86/1.03 (define @t3 () (= @t2 @t1)) % 0.86/1.03 (define @t4 () (@var "V_com2_H" $$unsorted)) % 0.86/1.03 (define @t5 () (tptp.c_Com_Ocom_OSemi @t1 @t4)) % 0.86/1.03 (define @t6 () (@var "V_com2" $$unsorted)) % 0.86/1.03 (define @t7 () (tptp.c_Com_Ocom_OSemi @t2 @t6)) % 0.86/1.03 (define @t8 () (not (= @t7 @t5))) % 0.86/1.03 (define @t9 () (@list @t2 @t6 @t1 @t4)) % 0.86/1.03 (define @t10 () (@var "V_com_H" $$unsorted)) % 0.86/1.03 (define @t11 () (@var "V_fun_H" $$unsorted)) % 0.86/1.03 (define @t12 () (tptp.c_Com_Ocom_OWhile @t11 @t10)) % 0.86/1.03 (define @t13 () (@var "T_a" $$unsorted)) % 0.86/1.03 (define @t14 () (@var "V_A" $$unsorted)) % 0.86/1.03 (define @t15 () (tptp.c_Complete__Lattice_OSup__class_OSup @t14 @t13)) % 0.86/1.03 (define @t16 () (@var "V_a" $$unsorted)) % 0.86/1.03 (define @t17 () (tptp.c_Set_Oinsert @t16 @t14 @t13)) % 0.86/1.03 (define @t18 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t13))) % 0.86/1.03 (define @t19 () (@list @t13 @t16 @t14)) % 0.86/1.03 (define @t20 () (tptp.c_Orderings_Otop__class_Otop @t13)) % 0.86/1.03 (define @t21 () (@var "V_x" $$unsorted)) % 0.86/1.03 (define @t22 () (not (tptp.class_Lattices_Obounded__lattice @t13))) % 0.86/1.03 (define @t23 () (@list @t13 @t21)) % 0.86/1.03 (define @t24 () (tptp.tc_fun @t13 tptp.tc_bool)) % 0.86/1.03 (define @t25 () (tptp.c_Orderings_Otop__class_Otop @t24)) % 0.86/1.03 (define @t26 () (@var "V_B" $$unsorted)) % 0.86/1.03 (define @t27 () (@list @t13 @t26)) % 0.86/1.03 (define @t28 () (@list @t14 @t13)) % 0.86/1.03 (define @t29 () (tptp.c_Com_Ocom_OCond @t11 @t1 @t4)) % 0.86/1.03 (define @t30 () (= @t6 @t4)) % 0.86/1.03 (define @t31 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t26 @t24)) % 0.86/1.03 (define @t32 () (tptp.c_Set_Oinsert @t16 @t26 @t13)) % 0.86/1.03 (define @t33 () (@list @t14 @t16 @t26 @t13)) % 0.86/1.03 (define @t34 () (@var "V_C" $$unsorted)) % 0.86/1.03 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t34 @t24)) % 0.86/1.03 (define @t36 () (@list @t16 @t26 @t13 @t34)) % 0.86/1.03 (define @t37 () (@var "V_s" $$unsorted)) % 0.86/1.03 (define @t38 () (@var "V_b" $$unsorted)) % 0.86/1.03 (define @t39 () (tptp.hBOOL (tptp.hAPP @t38 @t37))) % 0.86/1.03 (define @t40 () (@var "V_c" $$unsorted)) % 0.86/1.03 (define @t41 () (tptp.c_Com_Ocom_OWhile @t38 @t40)) % 0.86/1.03 (define @t42 () (tptp.c_Natural_Oevalc @t41)) % 0.86/1.03 (define @t43 () (tptp.hAPP @t42 @t37)) % 0.86/1.03 (define @t44 () (@var "V_com" $$unsorted)) % 0.86/1.03 (define @t45 () (@var "V_fun" $$unsorted)) % 0.86/1.03 (define @t46 () (@var "V_loc" $$unsorted)) % 0.86/1.03 (define @t47 () (tptp.c_Com_Ocom_OLocal @t46 @t45 @t44)) % 0.86/1.03 (define @t48 () (@list @t11 @t10)) % 0.86/1.03 (define @t49 () (@var "T_b" $$unsorted)) % 0.86/1.03 (define @t50 () (@var "V_e2" $$unsorted)) % 0.86/1.03 (define @t51 () (@var "V_m" $$unsorted)) % 0.86/1.03 (define @t52 () (tptp.tc_Option_Ooption @t49)) % 0.86/1.03 (define @t53 () (@var "V_u1" $$unsorted)) % 0.86/1.03 (define @t54 () (tptp.c_Option_Ooption_OSome @t49)) % 0.86/1.03 (define @t55 () (tptp.hAPP @t54 @t53)) % 0.86/1.03 (define @t56 () (@var "V_e1" $$unsorted)) % 0.86/1.03 (define @t57 () (@var "V_f8" $$unsorted)) % 0.86/1.03 (define @t58 () (@var "V_f7" $$unsorted)) % 0.86/1.03 (define @t59 () (@var "V_f6" $$unsorted)) % 0.86/1.03 (define @t60 () (@var "V_f5" $$unsorted)) % 0.86/1.03 (define @t61 () (@var "V_f4" $$unsorted)) % 0.86/1.03 (define @t62 () (@var "V_f3" $$unsorted)) % 0.86/1.03 (define @t63 () (@var "V_f2" $$unsorted)) % 0.86/1.03 (define @t64 () (@var "V_f1" $$unsorted)) % 0.86/1.03 (define @t65 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t6 @t13)) % 0.86/1.03 (define @t66 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t2 @t13)) % 0.86/1.03 (define @t67 () (tptp.hAPP (tptp.hAPP @t61 @t2) @t6)) % 0.86/1.03 (define @t68 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t2 @t6 @t13)) % 0.86/1.03 (define @t69 () (@var "V_vname_H" $$unsorted)) % 0.86/1.03 (define @t70 () (@var "V_vname" $$unsorted)) % 0.86/1.03 (define @t71 () (= @t70 @t69)) % 0.86/1.03 (define @t72 () (@var "V_pname_H" $$unsorted)) % 0.86/1.03 (define @t73 () (tptp.c_Com_Ocom_OCall @t69 @t72 @t11)) % 0.86/1.03 (define @t74 () (@var "V_pname" $$unsorted)) % 0.86/1.03 (define @t75 () (tptp.c_Com_Ocom_OCall @t70 @t74 @t45)) % 0.86/1.03 (define @t76 () (not (= @t75 @t73))) % 0.86/1.03 (define @t77 () (@list @t70 @t74 @t45 @t69 @t72 @t11)) % 0.86/1.03 (define @t78 () (= @t74 @t72)) % 0.86/1.03 (define @t79 () (= @t45 @t11)) % 0.86/1.03 (define @t80 () (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t44 @t13)) % 0.86/1.03 (define @t81 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t62 @t46) @t45) @t44)) % 0.86/1.03 (define @t82 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t46 @t45 @t44 @t13)) % 0.86/1.03 (define @t83 () (tptp.c_Com_Ocom_OAss @t70 @t45)) % 0.86/1.03 (define @t84 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t13)) % 0.86/1.03 (define @t85 () (tptp.c_lessequals @t14 @t26 @t24)) % 0.86/1.03 (define @t86 () (not @t85)) % 0.86/1.03 (define @t87 () (tptp.c_Set_Oinsert @t38 @t26 @t13)) % 0.86/1.03 (define @t88 () (tptp.c_Set_Oinsert @t21 @t14 @t13)) % 0.86/1.03 (define @t89 () (tptp.c_lessequals @t88 @t26 @t24)) % 0.86/1.03 (define @t90 () (not @t89)) % 0.86/1.03 (define @t91 () (@list @t14 @t26 @t13 @t21)) % 0.86/1.03 (define @t92 () (tptp.c_Com_Ocom_OCond @t45 @t2 @t6)) % 0.86/1.03 (define @t93 () (@var "V_f" $$unsorted)) % 0.86/1.03 (define @t94 () (tptp.c_Fun_Oinj__on @t93 @t14 @t13 @t49)) % 0.86/1.03 (define @t95 () (not (tptp.c_Fun_Oinj__on @t93 @t25 @t13 @t49))) % 0.86/1.03 (define @t96 () (tptp.tc_fun @t49 tptp.tc_bool)) % 0.86/1.03 (define @t97 () (tptp.c_Set_Oimage @t93 @t26 @t13 @t49)) % 0.86/1.03 (define @t98 () (tptp.c_Set_Oimage @t93 @t14 @t13 @t49)) % 0.86/1.03 (define @t99 () (tptp.c_lessequals @t98 @t97 @t96)) % 0.86/1.03 (define @t100 () (@list @t93 @t14 @t13 @t49 @t26)) % 0.86/1.03 (define @t101 () (tptp.c_lessequals @t14 @t34 @t24)) % 0.86/1.03 (define @t102 () (not @t101)) % 0.86/1.03 (define @t103 () (tptp.c_lessequals @t26 @t34 @t24)) % 0.86/1.03 (define @t104 () (not @t103)) % 0.86/1.03 (define @t105 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t26 @t24)) % 0.86/1.03 (define @t106 () (= (tptp.c_Set_Oimage @t93 @t105 @t13 @t49) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t98 @t97 @t96))) % 0.86/1.03 (define @t107 () (tptp.c_Finite__Set_Ofinite @t14 @t13)) % 0.86/1.03 (define @t108 () (not @t107)) % 0.86/1.03 (define @t109 () (tptp.c_Set_Oimage @t93 @t14 @t49 @t13)) % 0.86/1.03 (define @t110 () (tptp.hBOOL (tptp.c_in @t21 @t14 @t49))) % 0.86/1.03 (define @t111 () (not @t110)) % 0.86/1.03 (define @t112 () (tptp.hAPP @t93 @t21)) % 0.86/1.03 (define @t113 () (tptp.hBOOL (tptp.c_in @t21 @t14 @t13))) % 0.86/1.03 (define @t114 () (not @t113)) % 0.86/1.03 (define @t115 () (tptp.c_Orderings_Obot__class_Obot @t96)) % 0.86/1.03 (define @t116 () (tptp.c_Orderings_Obot__class_Obot @t24)) % 0.86/1.03 (define @t117 () (tptp.c_Set_Oinsert @t16 @t116 @t13)) % 0.86/1.03 (define @t118 () (@var "V_g" $$unsorted)) % 0.86/1.03 (define @t119 () (tptp.hAPP @t118 tptp.v_x)) % 0.86/1.03 (define @t120 () (tptp.hAPP @t93 tptp.v_x)) % 0.86/1.03 (define @t121 () (tptp.tc_fun tptp.t_a @t49)) % 0.86/1.03 (define @t122 () (not (tptp.class_Lattices_Olattice @t49))) % 0.86/1.03 (define @t123 () (@list @t49 @t93 @t118)) % 0.86/1.03 (define @t124 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t14 @t24)) % 0.86/1.03 (define @t125 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t14 @t24)) % 0.86/1.03 (define @t126 () (@list @t26 @t34 @t13 @t14)) % 0.86/1.03 (define @t127 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t34 @t24)) % 0.86/1.03 (define @t128 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t35 @t24)) % 0.86/1.03 (define @t129 () (@list @t14 @t26 @t34 @t13)) % 0.86/1.03 (define @t130 () (@var "V_z" $$unsorted)) % 0.86/1.03 (define @t131 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t130 @t13)) % 0.86/1.03 (define @t132 () (@var "V_y" $$unsorted)) % 0.86/1.03 (define @t133 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t132 @t13)) % 0.86/1.03 (define @t134 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t133 @t131 @t13)) % 0.86/1.03 (define @t135 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t132 @t130 @t13)) % 0.86/1.03 (define @t136 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t135 @t13)) % 0.86/1.03 (define @t137 () (not (tptp.class_Lattices_Odistrib__lattice @t13))) % 0.86/1.03 (define @t138 () (@list @t13 @t21 @t132 @t130)) % 0.86/1.03 (define @t139 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t132 @t21 @t13)) % 0.86/1.03 (define @t140 () (@list @t13 @t132 @t130 @t21)) % 0.86/1.03 (define @t141 () (not (tptp.class_Lattices_Oupper__semilattice @t13))) % 0.86/1.03 (define @t142 () (@list @t21 @t14 @t13)) % 0.86/1.03 (define @t143 () (tptp.c_Set_Oinsert @t21 @t26 @t13)) % 0.86/1.03 (define @t144 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t57 @t70) @t74) @t45)) % 0.86/1.03 (define @t145 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t70 @t74 @t45 @t13)) % 0.86/1.03 (define @t146 () (tptp.c_Set_Oinsert @t132 @t14 @t13)) % 0.86/1.03 (define @t147 () (tptp.c_Option_Ooption_ONone @t49)) % 0.86/1.03 (define @t148 () (tptp.c_Map_Odom @t93 @t13 @t49)) % 0.86/1.03 (define @t149 () (@list @t93 @t21 @t132 @t13 @t49)) % 0.86/1.03 (define @t150 () (@var "V_S" $$unsorted)) % 0.86/1.03 (define @t151 () (tptp.hBOOL (tptp.hAPP @t150 @t21))) % 0.86/1.03 (define @t152 () (tptp.hBOOL (tptp.c_in @t21 @t150 @t13))) % 0.86/1.03 (define @t153 () (@var "V_P" $$unsorted)) % 0.86/1.03 (define @t154 () (@var "V_Q" $$unsorted)) % 0.86/1.03 (define @t155 () (tptp.hAPP (tptp.hAPP @t63 @t70) @t45)) % 0.86/1.03 (define @t156 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t70 @t45 @t13)) % 0.86/1.03 (define @t157 () (tptp.c_Orderings_Otop__class_Otop @t96)) % 0.86/1.03 (define @t158 () (@list @t93 @t21 @t49 @t13)) % 0.86/1.03 (define @t159 () (@var "V_s0" $$unsorted)) % 0.86/1.03 (define @t160 () (@var "V_s1" $$unsorted)) % 0.86/1.03 (define @t161 () (tptp.c_Natural_Oevalc @t40)) % 0.86/1.03 (define @t162 () (@var "V_s2" $$unsorted)) % 0.86/1.03 (define @t163 () (tptp.c_COMBK @t147 @t52 @t13)) % 0.86/1.03 (define @t164 () (not @t39)) % 0.86/1.03 (define @t165 () (@var "V_c0" $$unsorted)) % 0.86/1.03 (define @t166 () (tptp.c_Natural_Oevalc @t165)) % 0.86/1.03 (define @t167 () (@var "V_c1" $$unsorted)) % 0.86/1.03 (define @t168 () (tptp.c_Com_Ocom_OCond @t38 @t165 @t167)) % 0.86/1.03 (define @t169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t168) @t37) @t160))) % 0.86/1.03 (define @t170 () (@list @t38 @t165 @t167 @t37 @t160)) % 0.86/1.03 (define @t171 () (@var "V_t" $$unsorted)) % 0.86/1.03 (define @t172 () (@var "V_c2" $$unsorted)) % 0.86/1.03 (define @t173 () (tptp.c_Com_Ocom_OCond @t38 @t167 @t172)) % 0.86/1.03 (define @t174 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t173) @t37) @t171)))) % 0.86/1.03 (define @t175 () (tptp.c_Natural_Oevalc @t167)) % 0.86/1.03 (define @t176 () (tptp.hAPP @t175 @t37)) % 0.86/1.03 (define @t177 () (tptp.hBOOL (tptp.hAPP @t176 @t171))) % 0.86/1.03 (define @t178 () (@list @t64 @t63 @t49 @t13)) % 0.86/1.03 (define @t179 () (tptp.c_Com_Ocom_OSemi @t165 @t167)) % 0.86/1.03 (define @t180 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t34 @t24)) % 0.86/1.03 (define @t181 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t35 @t24)) % 0.86/1.03 (define @t182 () (@list @t14 @t26 @t13 @t34)) % 0.86/1.03 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t135 @t13)) % 0.86/1.03 (define @t184 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t132 @t13)) % 0.86/1.03 (define @t185 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t184 @t130 @t13) @t183)) % 0.86/1.03 (define @t186 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t130 @t13)) % 0.86/1.03 (define @t187 () (= @t183 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t132 @t186 @t13))) % 0.86/1.03 (define @t188 () (not (tptp.class_Lattices_Olattice @t13))) % 0.86/1.03 (define @t189 () (tptp.hBOOL (tptp.c_in @t40 @t105 @t13))) % 0.86/1.03 (define @t190 () (not @t189)) % 0.86/1.03 (define @t191 () (tptp.hBOOL (tptp.c_in @t40 @t26 @t13))) % 0.86/1.03 (define @t192 () (@list @t40 @t26 @t13 @t14)) % 0.86/1.03 (define @t193 () (tptp.hBOOL (tptp.c_in @t40 @t14 @t13))) % 0.86/1.03 (define @t194 () (not @t94)) % 0.86/1.03 (define @t195 () (= @t21 @t132)) % 0.86/1.03 (define @t196 () (not (tptp.hBOOL (tptp.c_in @t132 @t14 @t13)))) % 0.86/1.03 (define @t197 () (not (= @t112 (tptp.hAPP @t93 @t132)))) % 0.86/1.03 (define @t198 () (@list @t93 @t21 @t132 @t14 @t13 @t49)) % 0.86/1.03 (define @t199 () (@var "V_xa" $$unsorted)) % 0.86/1.03 (define @t200 () (= @t21 @t199)) % 0.86/1.03 (define @t201 () (@list @t14 @t26 @t13)) % 0.86/1.03 (define @t202 () (not (tptp.c_lessequals @t26 @t14 @t24))) % 0.86/1.03 (define @t203 () (tptp.c_lessequals @t21 @t132 @t13)) % 0.86/1.03 (define @t204 () (not @t203)) % 0.86/1.03 (define @t205 () (= @t133 @t21)) % 0.86/1.03 (define @t206 () (not (tptp.class_Lattices_Olower__semilattice @t13))) % 0.86/1.03 (define @t207 () (@list @t13 @t21 @t132)) % 0.86/1.03 (define @t208 () (tptp.c_lessequals @t132 @t21 @t13)) % 0.86/1.03 (define @t209 () (not @t208)) % 0.86/1.03 (define @t210 () (tptp.c_lessequals @t31 @t34 @t24)) % 0.86/1.03 (define @t211 () (tptp.c_lessequals @t16 @t21 @t13)) % 0.86/1.03 (define @t212 () (not @t211)) % 0.86/1.03 (define @t213 () (tptp.c_lessequals @t38 @t21 @t13)) % 0.86/1.03 (define @t214 () (not @t213)) % 0.86/1.03 (define @t215 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t38 @t13)) % 0.86/1.03 (define @t216 () (tptp.c_lessequals @t215 @t21 @t13)) % 0.86/1.03 (define @t217 () (@list @t13 @t16 @t38 @t21)) % 0.86/1.03 (define @t218 () (tptp.c_lessequals @t21 @t184 @t13)) % 0.86/1.03 (define @t219 () (tptp.c_lessequals @t132 @t184 @t13)) % 0.86/1.03 (define @t220 () (@list @t13 @t132 @t21)) % 0.86/1.03 (define @t221 () (tptp.c_lessequals @t130 @t21 @t13)) % 0.86/1.03 (define @t222 () (tptp.c_lessequals @t21 @t130 @t13)) % 0.86/1.03 (define @t223 () (not @t222)) % 0.86/1.03 (define @t224 () (tptp.c_lessequals @t132 @t130 @t13)) % 0.86/1.03 (define @t225 () (not @t224)) % 0.86/1.03 (define @t226 () (tptp.c_lessequals @t184 @t130 @t13)) % 0.86/1.03 (define @t227 () (= @t133 @t139)) % 0.86/1.03 (define @t228 () (@list @t11 @t1 @t4)) % 0.86/1.03 (define @t229 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t14 @t24)) % 0.86/1.03 (define @t230 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t34 @t24)) % 0.86/1.03 (define @t231 () (tptp.c_Option_Ooption_OSome @t13)) % 0.86/1.03 (define @t232 () (tptp.hAPP @t231 @t21)) % 0.86/1.03 (define @t233 () (@var "V_k" $$unsorted)) % 0.86/1.03 (define @t234 () (@var "V_n" $$unsorted)) % 0.86/1.03 (define @t235 () (tptp.hAPP (tptp.c_Map_Omap__add @t51 @t234 @t49 @t13) @t233)) % 0.86/1.03 (define @t236 () (= @t235 @t232)) % 0.86/1.03 (define @t237 () (tptp.c_Option_Ooption_ONone @t13)) % 0.86/1.03 (define @t238 () (tptp.hAPP @t234 @t233)) % 0.86/1.03 (define @t239 () (= @t238 @t237)) % 0.86/1.03 (define @t240 () (not @t239)) % 0.86/1.03 (define @t241 () (tptp.hAPP @t51 @t233)) % 0.86/1.03 (define @t242 () (= @t241 @t232)) % 0.86/1.03 (define @t243 () (= @t241 @t237)) % 0.86/1.03 (define @t244 () (= @t235 @t237)) % 0.86/1.03 (define @t245 () (not @t244)) % 0.86/1.03 (define @t246 () (@list @t51 @t234 @t49 @t13 @t233)) % 0.86/1.03 (define @t247 () (tptp.hBOOL (tptp.c_in @t21 @t26 @t13))) % 0.86/1.03 (define @t248 () (@list @t21 @t26 @t13 @t14)) % 0.86/1.03 (define @t249 () (tptp.c_Com_Ocom_OWhile @t45 @t44)) % 0.86/1.03 (define @t250 () (tptp.hBOOL (tptp.hAPP @t14 @t21))) % 0.86/1.03 (define @t251 () (not @t250)) % 0.86/1.03 (define @t252 () (tptp.hBOOL (tptp.hAPP @t146 @t21))) % 0.86/1.03 (define @t253 () (@list @t93 @t21 @t14 @t13 @t49)) % 0.86/1.03 (define @t254 () (tptp.c_lessequals @t14 @t143 @t24)) % 0.86/1.03 (define @t255 () (@list @t14 @t21 @t26 @t13)) % 0.86/1.03 (define @t256 () (not @t254)) % 0.86/1.03 (define @t257 () (tptp.c_Set_Oinsert @t16 @t105 @t13)) % 0.86/1.03 (define @t258 () (tptp.hAPP @t54 @t21)) % 0.86/1.03 (define @t259 () (@var "V_loc_H" $$unsorted)) % 0.86/1.03 (define @t260 () (tptp.c_Com_Ocom_OLocal @t259 @t11 @t10)) % 0.86/1.03 (define @t261 () (tptp.c_Map_Odom @t51 @t13 @t49)) % 0.86/1.03 (define @t262 () (= @t14 @t26)) % 0.86/1.03 (define @t263 () (not (tptp.c_Fun_Oinj__on @t93 @t31 @t13 @t49))) % 0.86/1.03 (define @t264 () (not (= @t98 @t97))) % 0.86/1.03 (define @t265 () (tptp.c_Finite__Set_Ofinite @t17 @t13)) % 0.86/1.03 (define @t266 () (@list @t16 @t14 @t13)) % 0.86/1.03 (define @t267 () (not (= @t92 @t29))) % 0.86/1.03 (define @t268 () (@list @t45 @t2 @t6 @t11 @t1 @t4)) % 0.86/1.03 (define @t269 () (tptp.c_Set_Oimage @t93 @t26 @t49 @t13)) % 0.86/1.03 (define @t270 () (@list @t93 @t14 @t26 @t49 @t13)) % 0.86/1.03 (define @t271 () (@var "V_F" $$unsorted)) % 0.86/1.03 (define @t272 () (tptp.c_Finite__Set_Ofinite @t271 @t13)) % 0.86/1.03 (define @t273 () (not @t272)) % 0.86/1.03 (define @t274 () (@var "V_G" $$unsorted)) % 0.86/1.03 (define @t275 () (tptp.c_Finite__Set_Ofinite @t274 @t13)) % 0.86/1.03 (define @t276 () (not @t275)) % 0.86/1.03 (define @t277 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t271 @t274 @t24) @t13)) % 0.86/1.03 (define @t278 () (@list @t271 @t274 @t13)) % 0.86/1.03 (define @t279 () (tptp.c_lessequals @t34 @t14 @t24)) % 0.86/1.03 (define @t280 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t34 @t24) @t128)) % 0.86/1.03 (define @t281 () (not @t279)) % 0.86/1.03 (define @t282 () (@list @t21 @t13)) % 0.86/1.03 (define @t283 () (@var "T_c" $$unsorted)) % 0.86/1.03 (define @t284 () (tptp.c_Option_Ooption_ONone @t283)) % 0.86/1.03 (define @t285 () (tptp.hAPP @t93 @t16)) % 0.86/1.03 (define @t286 () (tptp.hBOOL (tptp.c_in @t285 @t98 @t49))) % 0.86/1.03 (define @t287 () (tptp.hBOOL (tptp.c_in @t16 @t14 @t13))) % 0.86/1.03 (define @t288 () (not @t287)) % 0.86/1.03 (define @t289 () (@var "V_m3" $$unsorted)) % 0.86/1.03 (define @t290 () (@var "V_m2" $$unsorted)) % 0.86/1.03 (define @t291 () (@var "V_m1" $$unsorted)) % 0.86/1.03 (define @t292 () (tptp.c_Map_Omap__add @t291 @t290 @t13 @t49)) % 0.86/1.03 (define @t293 () (= @t16 @t40)) % 0.86/1.03 (define @t294 () (@var "V_d" $$unsorted)) % 0.86/1.03 (define @t295 () (tptp.hBOOL (tptp.hAPP @t31 @t21))) % 0.86/1.03 (define @t296 () (tptp.hBOOL (tptp.hAPP @t26 @t21))) % 0.86/1.03 (define @t297 () (@list @t26 @t21 @t14 @t13)) % 0.86/1.03 (define @t298 () (not @t296)) % 0.86/1.03 (define @t299 () (tptp.c_Set_Oimage @t93 @t14 @t13 @t13)) % 0.86/1.03 (define @t300 () (tptp.c_Fun_Oinj__on @t93 @t14 @t13 @t13)) % 0.86/1.03 (define @t301 () (@list @t93 @t14 @t13)) % 0.86/1.03 (define @t302 () (tptp.hBOOL (tptp.c_in @t40 @t31 @t13))) % 0.86/1.03 (define @t303 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t132 @t130 @t13)) % 0.86/1.03 (define @t304 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t303 @t13)) % 0.86/1.03 (define @t305 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t133 @t130 @t13) @t304)) % 0.86/1.03 (define @t306 () (= @t304 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t132 @t131 @t13))) % 0.86/1.03 (define @t307 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t230 @t24)) % 0.86/1.03 (define @t308 () (tptp.hBOOL (tptp.c_in @t16 @t261 @t13))) % 0.86/1.03 (define @t309 () (not @t308)) % 0.86/1.03 (define @t310 () (tptp.hAPP @t51 @t16)) % 0.86/1.03 (define @t311 () (= @t310 @t147)) % 0.86/1.03 (define @t312 () (@list @t51 @t16 @t49 @t13)) % 0.86/1.03 (define @t313 () (not @t277)) % 0.86/1.03 (define @t314 () (@var "V_opt" $$unsorted)) % 0.86/1.03 (define @t315 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t26 @t13) @t20))) % 0.86/1.03 (define @t316 () (@list @t13 @t14 @t26)) % 0.86/1.03 (define @t317 () (tptp.tc_Hoare__Mirabelle_Otriple @t13)) % 0.86/1.03 (define @t318 () (tptp.tc_fun @t317 tptp.tc_bool)) % 0.86/1.03 (define @t319 () (tptp.c_Orderings_Obot__class_Obot @t318)) % 0.86/1.03 (define @t320 () (@var "V_R" $$unsorted)) % 0.86/1.03 (define @t321 () (@list @t259 @t11 @t10)) % 0.86/1.03 (define @t322 () (tptp.c_Fun_Ofun__upd @t93 @t21 @t132 @t13 @t49)) % 0.86/1.03 (define @t323 () (@list @t93 @t21 @t132 @t13 @t49 @t130)) % 0.86/1.03 (define @t324 () (not @t247)) % 0.86/1.03 (define @t325 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t184 @t186 @t13)) % 0.86/1.03 (define @t326 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t303 @t13)) % 0.86/1.03 (define @t327 () (tptp.hBOOL (tptp.c_in @t16 (tptp.c_Set_Oinsert @t38 @t14 @t13) @t13))) % 0.86/1.03 (define @t328 () (= @t16 @t38)) % 0.86/1.03 (define @t329 () (@list @t49)) % 0.86/1.03 (define @t330 () (tptp.hAPP (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP) @t37)) % 0.86/1.03 (define @t331 () (tptp.hAPP @t161 @t37)) % 0.86/1.03 (define @t332 () (@var "V_u" $$unsorted)) % 0.86/1.03 (define @t333 () (not (tptp.class_Orderings_Oorder @t13))) % 0.86/1.03 (define @t334 () (= @t184 @t132)) % 0.86/1.03 (define @t335 () (= @t31 @t26)) % 0.86/1.03 (define @t336 () (@list @t13)) % 0.86/1.03 (define @t337 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.86/1.03 (define @t338 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t172) @t37) @t171))) % 0.86/1.03 (define @t339 () (tptp.c_Com_Ocom_OAss @t69 @t11)) % 0.86/1.03 (define @t340 () (@list @t69 @t11)) % 0.86/1.03 (define @t341 () (tptp.c_Fun_Ofun__upd @t93 @t21 @t132 @t49 @t13)) % 0.86/1.03 (define @t342 () (@var "T_aa" $$unsorted)) % 0.86/1.03 (define @t343 () (@var "V_fun1_H" $$unsorted)) % 0.86/1.03 (define @t344 () (@var "V_fun1" $$unsorted)) % 0.86/1.03 (define @t345 () (@var "V_fun2_H" $$unsorted)) % 0.86/1.03 (define @t346 () (@var "V_fun2" $$unsorted)) % 0.86/1.03 (define @t347 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t344 @t44 @t346 @t13) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t343 @t10 @t345 @t13)))) % 0.86/1.03 (define @t348 () (@list @t344 @t44 @t346 @t13 @t343 @t10 @t345)) % 0.86/1.03 (define @t349 () (= @t44 @t10)) % 0.86/1.03 (define @t350 () (@list @t21 @t14 @t13 @t26)) % 0.86/1.03 (define @t351 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t32 @t24)) % 0.86/1.03 (define @t352 () (tptp.hBOOL (tptp.c_in @t16 @t34 @t13))) % 0.86/1.03 (define @t353 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t34 @t24)) % 0.86/1.03 (define @t354 () (tptp.c_lessequals @t34 @t105 @t24)) % 0.86/1.03 (define @t355 () (not @t354)) % 0.86/1.03 (define @t356 () (tptp.c_lessequals @t34 @t26 @t24)) % 0.86/1.03 (define @t357 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t38 @t13)) % 0.86/1.03 (define @t358 () (tptp.c_lessequals @t21 @t357 @t13)) % 0.86/1.03 (define @t359 () (not @t358)) % 0.86/1.03 (define @t360 () (tptp.c_lessequals @t21 @t16 @t13)) % 0.86/1.03 (define @t361 () (@list @t13 @t21 @t16 @t38)) % 0.86/1.03 (define @t362 () (tptp.c_lessequals @t21 @t38 @t13)) % 0.86/1.03 (define @t363 () (tptp.c_lessequals @t357 @t21 @t13)) % 0.86/1.03 (define @t364 () (tptp.c_lessequals @t21 @t303 @t13)) % 0.86/1.03 (define @t365 () (not @t364)) % 0.86/1.03 (define @t366 () (@list @t13 @t21 @t130 @t132)) % 0.86/1.03 (define @t367 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t14 @t24)) % 0.86/1.03 (define @t368 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t132 @t21 @t13)) % 0.86/1.03 (define @t369 () (= @t184 @t368)) % 0.86/1.03 (define @t370 () (not (= @t249 @t12))) % 0.86/1.03 (define @t371 () (@list @t45 @t44 @t11 @t10)) % 0.86/1.03 (define @t372 () (@list @t93 @t49 @t13)) % 0.86/1.03 (define @t373 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t184 @t13) @t184)) % 0.86/1.03 (define @t374 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t13))) % 0.86/1.03 (define @t375 () (@list @t13 @t14)) % 0.86/1.03 (define @t376 () (tptp.c_Set_Oinsert @t38 @t116 @t13)) % 0.86/1.03 (define @t377 () (tptp.c_Set_Oinsert @t16 @t376 @t13)) % 0.86/1.03 (define @t378 () (tptp.c_fequal tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t379 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t40)) % 0.86/1.03 (define @t380 () (@list @t40)) % 0.86/1.03 (define @t381 () (tptp.hBOOL (tptp.hAPP @t105 @t21))) % 0.86/1.03 (define @t382 () (not @t381)) % 0.86/1.03 (define @t383 () (tptp.c_Map_Omap__comp @t291 @t290 @t233 @t49 @t13 @t283)) % 0.86/1.03 (define @t384 () (= @t383 @t237)) % 0.86/1.03 (define @t385 () (tptp.hAPP @t290 @t233)) % 0.86/1.03 (define @t386 () (tptp.c_Map_Omap__comp @t291 @t290 @t233 @t13 @t283 @t49)) % 0.86/1.03 (define @t387 () (tptp.c_Fun_Oinj__on @t93 @t26 @t13 @t49)) % 0.86/1.03 (define @t388 () (tptp.hAPP (tptp.hAPP @t59 @t45) @t44)) % 0.86/1.03 (define @t389 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t45 @t44 @t13)) % 0.86/1.03 (define @t390 () (@var "V_l2" $$unsorted)) % 0.86/1.03 (define @t391 () (tptp.hBOOL (tptp.c_in @t51 (tptp.c_Map_Odom @t390 @t13 @t49) @t13))) % 0.86/1.03 (define @t392 () (@var "V_l1" $$unsorted)) % 0.86/1.03 (define @t393 () (tptp.hAPP (tptp.c_Map_Omap__add @t392 @t390 @t13 @t49) @t51)) % 0.86/1.03 (define @t394 () (= @t393 (tptp.hAPP @t390 @t51))) % 0.86/1.03 (define @t395 () (@list @t392 @t390 @t13 @t49 @t51)) % 0.86/1.03 (define @t396 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t60 @t45) @t2) @t6)) % 0.86/1.03 (define @t397 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t45 @t2 @t6 @t13)) % 0.86/1.03 (define @t398 () (= @t171 @t37)) % 0.86/1.03 (define @t399 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t271 @t274 @t24) @t13)) % 0.86/1.03 (define @t400 () (tptp.c_Set_Oinsert @t21 @t116 @t13)) % 0.86/1.03 (define @t401 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 0.86/1.03 (define @t402 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t26 @t13) @t401))) % 0.86/1.03 (define @t403 () (not (tptp.hBOOL (tptp.c_in @t21 @t116 @t13)))) % 0.86/1.03 (define @t404 () (tptp.hBOOL (tptp.hAPP @t153 @t21))) % 0.86/1.03 (define @t405 () (@list @t153 @t21 @t13)) % 0.86/1.03 (define @t406 () (= @t14 @t116)) % 0.86/1.03 (define @t407 () (= @t38 @t294)) % 0.86/1.03 (define @t408 () (= @t38 @t40)) % 0.86/1.03 (define @t409 () (not (= @t377 (tptp.c_Set_Oinsert @t40 (tptp.c_Set_Oinsert @t294 @t116 @t13) @t13)))) % 0.86/1.03 (define @t410 () (@list @t16 @t38 @t13 @t40 @t294)) % 0.86/1.03 (define @t411 () (= @t16 @t294)) % 0.86/1.03 (define @t412 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t26 @t24)) % 0.86/1.03 (define @t413 () (forall @t27 (= @t412 @t26))) % 0.86/1.03 (define @t414 () (@list @t93 @t13 @t49)) % 0.86/1.03 (define @t415 () (not @t404)) % 0.86/1.03 (define @t416 () (not (= @t31 @t116))) % 0.86/1.03 (define @t417 () (= @t14 @t115)) % 0.86/1.03 (define @t418 () (tptp.c_COMBK @t40 @t13 @t49)) % 0.86/1.03 (define @t419 () (@list @t21 @t14 @t49 @t93 @t13)) % 0.86/1.03 (define @t420 () (@var "V_h" $$unsorted)) % 0.86/1.03 (define @t421 () (tptp.hBOOL (tptp.c_in @t112 @t109 @t13))) % 0.86/1.03 (define @t422 () (= @t238 @t232)) % 0.86/1.03 (define @t423 () (not @t236)) % 0.86/1.03 (define @t424 () (@list @t51 @t234 @t49 @t13 @t233 @t21)) % 0.86/1.03 (define @t425 () (@var "V_D" $$unsorted)) % 0.86/1.03 (define @t426 () (not (tptp.c_lessequals @t26 @t425 @t24))) % 0.86/1.03 (define @t427 () (@list @t14 @t26 @t13 @t34 @t425)) % 0.86/1.03 (define @t428 () (tptp.c_lessequals @t133 @t21 @t13)) % 0.86/1.03 (define @t429 () (tptp.c_lessequals @t133 @t132 @t13)) % 0.86/1.03 (define @t430 () (not @t360)) % 0.86/1.03 (define @t431 () (not @t362)) % 0.86/1.03 (define @t432 () (not (= @t83 @t339))) % 0.86/1.03 (define @t433 () (@list @t70 @t45 @t69 @t11)) % 0.86/1.03 (define @t434 () (@list @t1 @t4)) % 0.86/1.03 (define @t435 () (@var "V_m_H" $$unsorted)) % 0.86/1.03 (define @t436 () (tptp.c_Map_Odom @t435 @t13 @t49)) % 0.86/1.03 (define @t437 () (tptp.c_Fun_Oinj__on (tptp.c_Map_Omap__add @t51 @t435 @t13 @t49) @t436 @t13 @t52)) % 0.86/1.03 (define @t438 () (tptp.c_Fun_Oinj__on @t435 @t436 @t13 @t52)) % 0.86/1.03 (define @t439 () (tptp.hAPP @t54 @t132)) % 0.86/1.03 (define @t440 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t133 @t13) @t133)) % 0.86/1.03 (define @t441 () (not (= @t47 @t260))) % 0.86/1.03 (define @t442 () (@list @t46 @t45 @t44 @t259 @t11 @t10)) % 0.86/1.03 (define @t443 () (@list @t69 @t72 @t11)) % 0.86/1.03 (define @t444 () (not @t191)) % 0.86/1.03 (define @t445 () (@list @t40 @t14 @t26 @t13)) % 0.86/1.03 (define @t446 () (not @t193)) % 0.86/1.03 (define @t447 () (not (= @t385 @t258))) % 0.86/1.03 (define @t448 () (tptp.hAPP @t291 @t21)) % 0.86/1.03 (define @t449 () (not @t226)) % 0.86/1.03 (define @t450 () (tptp.c_lessequals @t21 @t215 @t13)) % 0.86/1.03 (define @t451 () (not @t216)) % 0.86/1.03 (define @t452 () (not @t210)) % 0.86/1.03 (define @t453 () (@list @t14 @t34 @t13 @t26)) % 0.86/1.03 (define @t454 () (not (tptp.class_Orderings_Opreorder @t13))) % 0.86/1.03 (define @t455 () (not (tptp.c_lessequals @t153 @t154 @t24))) % 0.86/1.03 (define @t456 () (tptp.hBOOL (tptp.hAPP @t154 @t21))) % 0.86/1.03 (define @t457 () (@list @t154 @t21 @t153 @t13)) % 0.86/1.03 (define @t458 () (tptp.c_lessequals @t21 @t21 @t13)) % 0.86/1.03 (define @t459 () (not (tptp.c_Finite__Set_Ofinite @t26 @t13))) % 0.86/1.03 (define @t460 () (@list @t14 @t13 @t26)) % 0.86/1.03 (define @t461 () (= @t130 @t21)) % 0.86/1.03 (define @t462 () (tptp.hAPP @t93 @t130)) % 0.86/1.03 (define @t463 () (tptp.hAPP @t63 @t16)) % 0.86/1.03 (define @t464 () (tptp.hAPP @t54 @t16)) % 0.86/1.03 (define @t465 () (@list @t64 @t63 @t49 @t16 @t13)) % 0.86/1.03 (define @t466 () (tptp.tc_Option_Ooption @t13)) % 0.86/1.03 (define @t467 () (@var "V_v" $$unsorted)) % 0.86/1.03 (define @t468 () (tptp.hAPP @t231 @t467)) % 0.86/1.03 (define @t469 () (tptp.c_Option_Ooption_OSome tptp.t_b)) % 0.86/1.03 (define @t470 () (@var "V_a_H" $$unsorted)) % 0.86/1.03 (define @t471 () (tptp.hAPP @t231 @t470)) % 0.86/1.03 (define @t472 () (@list @t13 @t470)) % 0.86/1.03 (define @t473 () (tptp.hAPP @t231 @t132)) % 0.86/1.03 (define @t474 () (tptp.hAPP @t231 @t38)) % 0.86/1.03 (define @t475 () (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t51 @t16 @t474 @t49 @t466) @t21) @t473)) % 0.86/1.03 (define @t476 () (= @t21 @t16)) % 0.86/1.03 (define @t477 () (= (tptp.hAPP @t51 @t21) @t473)) % 0.86/1.03 (define @t478 () (= @t38 @t132)) % 0.86/1.03 (define @t479 () (not @t475)) % 0.86/1.03 (define @t480 () (@list @t51 @t16 @t13 @t38 @t49 @t21 @t132)) % 0.86/1.03 (define @t481 () (tptp.c_Option_Ooption_OSome @t342)) % 0.86/1.03 (define @t482 () (@var "V_k_H" $$unsorted)) % 0.86/1.03 (define @t483 () (@var "V_xx" $$unsorted)) % 0.86/1.03 (define @t484 () (tptp.hAPP @t231 @t483)) % 0.86/1.03 (define @t485 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t72)) % 0.86/1.03 (define @t486 () (@list @t72)) % 0.86/1.03 (define @t487 () (tptp.hAPP @t58 @t74)) % 0.86/1.03 (define @t488 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t74)) % 0.86/1.03 (define @t489 () (@list @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t74 @t13)) % 0.86/1.03 (define @t490 () (@var "V_ts" $$unsorted)) % 0.86/1.03 (define @t491 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert @t171 @t490 @t317) @t13)) % 0.86/1.03 (define @t492 () (not @t491)) % 0.86/1.03 (define @t493 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t490 @t13)) % 0.86/1.03 (define @t494 () (@var "V_ts_H" $$unsorted)) % 0.86/1.03 (define @t495 () (@var "V_G_H" $$unsorted)) % 0.86/1.03 (define @t496 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t495 @t490 @t13))) % 0.86/1.03 (define @t497 () (@list @t274 @t490 @t13 @t495)) % 0.86/1.03 (define @t498 () (not @t493)) % 0.86/1.03 (define @t499 () (@list @t274 @t490 @t13)) % 0.86/1.03 (define @t500 () (@var "V_pn" $$unsorted)) % 0.86/1.03 (define @t501 () (tptp.hAPP tptp.c_Com_Obody @t500)) % 0.86/1.03 (define @t502 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.86/1.03 (define @t503 () (tptp.hAPP @t502 @t501)) % 0.86/1.03 (define @t504 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t500)) % 0.86/1.03 (define @t505 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t153)) % 0.86/1.03 (define @t506 () (tptp.hAPP tptp.c_Com_Obody @t153)) % 0.86/1.03 (define @t507 () (not (tptp.c_Com_OWT @t173))) % 0.86/1.03 (define @t508 () (tptp.c_Com_OWT @t167)) % 0.86/1.03 (define @t509 () (tptp.c_Com_OWT @t172)) % 0.86/1.03 (define @t510 () (not (tptp.c_Com_OWT @t165))) % 0.86/1.03 (define @t511 () (not @t508)) % 0.86/1.03 (define @t512 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t167 @t172)))) % 0.86/1.03 (define @t513 () (@var "V_X" $$unsorted)) % 0.86/1.03 (define @t514 () (tptp.c_Com_OWT @t40)) % 0.86/1.03 (define @t515 () (not @t514)) % 0.86/1.03 (define @t516 () (tptp.c_Com_OWT @t41)) % 0.86/1.03 (define @t517 () (@var "V_Y" $$unsorted)) % 0.86/1.03 (define @t518 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t517 @t16 @t40))) % 0.86/1.03 (define @t519 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t520 () (tptp.tc_fun @t519 tptp.tc_bool)) % 0.86/1.03 (define @t521 () (tptp.c_Orderings_Obot__class_Obot @t520)) % 0.86/1.03 (define @t522 () (tptp.c_Set_Oinsert @t379 @t521 @t519)) % 0.86/1.03 (define @t523 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t521 @t522 tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t524 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 @t40 @t154 tptp.tc_Com_Ostate) @t521 @t519)) % 0.86/1.03 (define @t525 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.86/1.03 (define @t526 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 @t503 @t154 @t13) @t319 @t317)) % 0.86/1.03 (define @t527 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 @t504 @t154 @t13)) % 0.86/1.03 (define @t528 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert @t527 @t319 @t317) @t13)) % 0.86/1.03 (define @t529 () (@list @t274 @t153 @t500 @t154 @t13)) % 0.86/1.03 (define @t530 () (@var "V_Procs" $$unsorted)) % 0.86/1.03 (define @t531 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB @t502 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom @t519 tptp.tc_Com_Opname)) % 0.86/1.03 (define @t532 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t519 tptp.tc_Com_Opname)) % 0.86/1.03 (define @t533 () (tptp.c_Set_Oimage @t532 @t530 tptp.tc_Com_Opname @t519)) % 0.86/1.03 (define @t534 () (tptp.c_Map_Odom @t93 @t49 @t13)) % 0.86/1.03 (define @t535 () (tptp.c_Set_Oinsert @t21 @t534 @t49)) % 0.86/1.03 (define @t536 () (not (= @t112 @t473))) % 0.86/1.03 (define @t537 () (or @t536 (= @t535 @t534))) % 0.86/1.03 (define @t538 () (forall (@list @t93 @t21 @t13 @t132 @t49) @t537)) % 0.86/1.03 (define @t539 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert @t171 @t319 @t317) @t13)) % 0.86/1.03 (define @t540 () (tptp.c_Com_OWT @t504)) % 0.86/1.03 (define @t541 () (tptp.c_Com_OWT @t505)) % 0.86/1.03 (define @t542 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.86/1.03 (define @t543 () (tptp.c_Finite__Set_Ofinite @t542 tptp.tc_Com_Opname)) % 0.86/1.03 (define @t544 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t504)) % 0.86/1.03 (define @t545 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t274)) % 0.86/1.03 (define @t546 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t522 tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t547 () (@list @t274 @t40)) % 0.86/1.03 (define @t548 () (not tptp.c_Com_OWT__bodies)) % 0.86/1.03 (define @t549 () (tptp.c_Set_Oimage @t531 @t542 tptp.tc_Com_Opname @t519)) % 0.86/1.03 (define @t550 () (not (tptp.c_lessequals @t271 @t549 @t520))) % 0.86/1.03 (define @t551 () (tptp.c_Set_Oimage @t532 @t542 tptp.tc_Com_Opname @t519)) % 0.86/1.03 (define @t552 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t551 @t271 tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t553 () (or @t552 @t550 @t548 @t525)) % 0.86/1.03 (define @t554 () (@list @t271)) % 0.86/1.03 (define @t555 () (forall @t554 @t553)) % 0.86/1.03 (define @t556 () (tptp.c_Option_Ooption_OSome tptp.tc_Com_Ocom)) % 0.86/1.03 (define @t557 () (tptp.c_Set_Oimage @t93 @t115 @t49 @t13)) % 0.86/1.03 (define @t558 () (= (tptp.hAPP tptp.c_Com_Obody tptp.v_pn) (tptp.hAPP @t556 tptp.v_y))) % 0.86/1.03 (define @t559 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t521 @t551 tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t560 () (@var "T_1" $$unsorted)) % 0.86/1.03 (define @t561 () (@var "T_2" $$unsorted)) % 0.86/1.03 (define @t562 () (tptp.tc_fun @t561 @t560)) % 0.86/1.03 (define @t563 () (@list @t561 @t560)) % 0.86/1.03 (define @t564 () (not (tptp.class_Lattices_Olattice @t560))) % 0.86/1.03 (define @t565 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t560))) % 0.86/1.03 (define @t566 () (tptp.c_fequal @t13)) % 0.86/1.03 (define @t567 () (or @t552 @t550)) % 0.86/1.03 (define @t568 () (forall @t554 @t567)) % 0.86/1.03 (define @t569 () (or @t548 @t525 @t567)) % 0.86/1.03 (define @t570 () (@list false false)) % 0.86/1.03 (define @t571 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t521 @t551 @t520) @t549 tptp.tc_Com_Ostate))) % 0.86/1.03 (define @t572 () (not @t543)) % 0.86/1.03 (define @t573 () (or @t559 @t572 @t571)) % 0.86/1.03 (define @t574 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t551 @t549 tptp.tc_Com_Ostate)) % 0.86/1.03 (define @t575 () (= @t542 (tptp.c_Set_Oinsert tptp.v_pn @t542 tptp.tc_Com_Opname))) % 0.86/1.03 (define @t576 () (not @t558)) % 0.86/1.03 (define @t577 () (or @t576 @t575)) % 0.86/1.03 (define @t578 () (tptp.c_lessequals @t549 @t549 @t520)) % 0.86/1.03 (define @t579 () (not @t578)) % 0.86/1.03 (define @t580 () (or @t574 @t579)) % 0.86/1.03 (assume @p1 (forall @t9 (or @t8 @t3))) % 0.86/1.03 (assume @p2 (forall (@list @t2 @t6 @t11 @t10) (not (= @t7 @t12)))) % 0.86/1.03 (assume @p3 (forall @t19 (or @t18 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t15 @t13))))) % 0.86/1.03 (assume @p4 (forall @t23 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t20 @t13) @t20)))) % 0.86/1.03 (assume @p5 (forall @t23 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t21 @t13) @t20)))) % 0.86/1.03 (assume @p6 (forall @t27 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t26 @t24) @t25))) % 0.86/1.03 (assume @p7 (forall @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t25 @t24) @t25))) % 0.86/1.03 (assume @p8 (forall (@list @t2 @t6 @t11 @t1 @t4) (not (= @t7 @t29)))) % 0.86/1.03 (assume @p9 (forall @t9 (or @t8 @t30))) % 0.86/1.03 (assume @p10 (forall @t33 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t32 @t24) (tptp.c_Set_Oinsert @t16 @t31 @t13)))) % 0.86/1.03 (assume @p11 (forall @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t34 @t24) (tptp.c_Set_Oinsert @t16 @t35 @t13)))) % 0.86/1.03 (assume @p12 (forall (@list @t38 @t40 @t37) (or (tptp.hBOOL (tptp.hAPP @t43 @t37)) @t39))) % 0.86/1.03 (assume @p13 (forall (@list @t11 @t10 @t46 @t45 @t44) (not (= @t12 @t47)))) % 0.86/1.03 (assume @p14 (forall @t48 (not (= @t12 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p15 (forall (@list @t56 @t51 @t49 @t53 @t13 @t50) (or (= (tptp.c_Map_Omap__add (tptp.c_Fun_Ofun__upd @t56 @t51 @t55 @t13 @t52) @t50 @t13 @t49) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add @t56 @t50 @t13 @t49) @t51 @t55 @t13 @t52)) (tptp.hBOOL (tptp.c_in @t51 (tptp.c_Map_Odom @t50 @t13 @t49) @t13))))) % 0.86/1.03 (assume @p16 (forall @t68 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t7 @t13) (tptp.hAPP (tptp.hAPP @t67 @t66) @t65)))) % 0.86/1.03 (assume @p17 (forall @t77 (or @t76 @t71))) % 0.86/1.03 (assume @p18 (forall @t77 (or @t76 @t78))) % 0.86/1.03 (assume @p19 (forall @t77 (or @t76 @t79))) % 0.86/1.03 (assume @p20 (forall @t82 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t47 @t13) (tptp.hAPP @t81 @t80)))) % 0.86/1.03 (assume @p21 (forall (@list @t70 @t45 @t1 @t4) (not (= @t83 @t5)))) % 0.86/1.03 (assume @p22 (forall @t84 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 tptp.c_Com_Ocom_OSKIP @t13) @t64))) % 0.86/1.03 (assume @p23 (forall (@list @t14 @t38 @t26 @t13) (or (tptp.c_lessequals @t14 @t87 @t24) @t86))) % 0.86/1.03 (assume @p24 (forall @t91 (or @t85 @t90))) % 0.86/1.03 (assume @p25 (forall (@list @t46 @t45 @t44 @t11 @t1 @t4) (not (= @t47 @t29)))) % 0.86/1.03 (assume @p26 (forall (@list @t45 @t2 @t6 @t69 @t72 @t11) (not (= @t92 @t73)))) % 0.86/1.03 (assume @p27 (forall (@list @t93 @t14 @t13 @t49 @t16) (or @t94 (not (tptp.c_Fun_Oinj__on @t93 @t17 @t13 @t49))))) % 0.86/1.03 (assume @p28 (forall @t100 (or @t99 @t86 @t95))) % 0.86/1.03 (assume @p29 (forall (@list @t14 @t26 @t13 @t93 @t49) (or @t85 (not @t99) @t95))) % 0.86/1.03 (assume @p30 (forall (@list @t93 @t14 @t26 @t13 @t49 @t34) (or @t106 @t104 @t102 (not (tptp.c_Fun_Oinj__on @t93 @t34 @t13 @t49))))) % 0.86/1.03 (assume @p31 (forall (@list @t26 @t49 @t93 @t14 @t13) (or (tptp.c_Finite__Set_Ofinite @t26 @t49) (not (tptp.c_lessequals @t26 @t98 @t96)) @t108))) % 0.86/1.03 (assume @p32 (forall (@list @t93 @t21 @t26 @t13 @t14 @t49) (or (tptp.hBOOL (tptp.c_in @t112 @t26 @t13)) @t111 (not (tptp.c_lessequals @t109 @t26 @t24))))) % 0.86/1.03 (assume @p33 (forall (@list @t40 @t49 @t13 @t14 @t21) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t40 @t49 @t13) @t14 @t13 @t49) (tptp.c_Set_Oinsert @t40 @t115 @t49)) @t114))) % 0.86/1.03 (assume @p34 (forall (@list @t38 @t16 @t13) (or (= @t38 @t16) (not (tptp.hBOOL (tptp.c_in @t38 @t117 @t13)))))) % 0.86/1.03 (assume @p35 (forall @t123 (or @t122 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t93 @t118 @t121) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t119 @t49))))) % 0.86/1.03 (assume @p36 (forall @t126 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t14 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t125 @t124 @t24)))) % 0.86/1.03 (assume @p37 (forall @t129 (= @t128 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t127 @t24)))) % 0.86/1.03 (assume @p38 (forall @t138 (or @t137 (= @t136 @t134)))) % 0.86/1.03 (assume @p39 (forall @t140 (or @t137 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t135 @t21 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t139 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t130 @t21 @t13) @t13))))) % 0.86/1.03 (assume @p40 (forall @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t14 @t24) @t14))) % 0.86/1.03 (assume @p41 (forall @t23 (or @t141 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t21 @t13) @t21)))) % 0.86/1.03 (assume @p42 (forall (@list @t69 @t72 @t11 @t2 @t6) (not (= @t73 @t7)))) % 0.86/1.03 (assume @p43 (forall @t142 (tptp.hBOOL (tptp.c_in @t21 @t88 @t13)))) % 0.86/1.03 (assume @p44 (forall (@list @t16 @t26 @t13) (tptp.hBOOL (tptp.c_in @t16 @t32 @t13)))) % 0.86/1.03 (assume @p45 (forall (@list @t21 @t26 @t13) (tptp.hBOOL (tptp.c_in @t21 @t143 @t13)))) % 0.86/1.03 (assume @p46 (forall @t145 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t75 @t13) @t144))) % 0.86/1.03 (assume @p47 (forall (@list @t21 @t132 @t14 @t13) (= (tptp.c_Set_Oinsert @t21 @t146 @t13) (tptp.c_Set_Oinsert @t132 @t88 @t13)))) % 0.86/1.03 (assume @p48 (forall @t149 (or (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t93 @t21 @t132 @t13 @t52) @t13 @t49) (tptp.c_Set_Oinsert @t21 @t148 @t13)) (= @t132 @t147)))) % 0.86/1.03 (assume @p49 (forall (@list @t21 @t150 @t13) (or @t152 (not @t151)))) % 0.86/1.03 (assume @p50 (forall (@list @t150 @t21 @t13) (or @t151 (not @t152)))) % 0.86/1.03 (assume @p51 (forall (@list @t153 @t13 @t49 @t154) (= (tptp.hAPP (tptp.c_COMBK @t153 @t13 @t49) @t154) @t153))) % 0.86/1.03 (assume @p52 (forall @t156 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t83 @t13) @t155))) % 0.86/1.03 (assume @p53 (forall (@list @t153 @t64 @t63) (or (not (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Option_Ooption_Ooption__case @t64 @t63 (tptp.c_Option_Ooption_ONone tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t153 @t64))))) % 0.86/1.03 (assume @p54 (forall @t158 (tptp.hBOOL (tptp.c_in @t112 (tptp.c_Set_Oimage @t93 @t157 @t49 @t13) @t13)))) % 0.86/1.03 (assume @p55 (forall (@list @t38 @t40 @t159 @t162 @t160) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t159) @t162)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t160) @t162))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t159) @t160))) (not (tptp.hBOOL (tptp.hAPP @t38 @t159)))))) % 0.86/1.03 (assume @p56 (forall (@list @t51 @t49 @t13) (= (tptp.c_Map_Omap__add @t51 @t163 @t13 @t49) @t51))) % 0.86/1.03 (assume @p57 (forall (@list @t49 @t13 @t51) (= (tptp.c_Map_Omap__add @t163 @t51 @t13 @t49) @t51))) % 0.86/1.03 (assume @p58 (forall @t170 (or @t169 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t37) @t160))) @t164))) % 0.86/1.03 (assume @p59 (forall (@list @t38 @t37 @t167 @t171 @t172) (or @t164 @t177 @t174))) % 0.86/1.03 (assume @p60 (forall @t178 (= (tptp.c_Option_Ooption_Ooption__rec @t64 @t63 @t147 @t13 @t49) @t64))) % 0.86/1.03 (assume @p61 (forall (@list @t165 @t167 @t159 @t162 @t160) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t179) @t159) @t162)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t175 @t160) @t162))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t159) @t160)))))) % 0.86/1.03 (assume @p62 (forall @t129 (= @t181 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t180 @t24)))) % 0.86/1.03 (assume @p63 (forall @t182 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t34 @t24) @t181))) % 0.86/1.03 (assume @p64 (forall @t138 (or @t141 @t185))) % 0.86/1.03 (assume @p65 (forall @t138 (or @t141 @t187))) % 0.86/1.03 (assume @p66 (forall @t138 (or @t188 @t187))) % 0.86/1.03 (assume @p67 (forall @t138 (or @t188 @t185))) % 0.86/1.03 (assume @p68 (forall @t192 (or @t191 @t190))) % 0.86/1.03 (assume @p69 (forall (@list @t40 @t14 @t13 @t26) (or @t193 @t190))) % 0.86/1.03 (assume @p70 (forall @t198 (or @t197 @t196 @t114 @t195 @t194))) % 0.86/1.03 (assume @p71 (forall @t198 (or @t197 @t196 @t114 @t194 @t195))) % 0.86/1.03 (assume @p72 (forall (@list @t93 @t21 @t199 @t14 @t13 @t49) (or (not (= @t112 (tptp.hAPP @t93 @t199))) (not (tptp.hBOOL (tptp.c_in @t199 @t14 @t13))) @t114 @t194 @t200))) % 0.86/1.03 (assume @p73 (forall @t198 (or @t197 @t194 @t195 @t196 @t114))) % 0.86/1.03 (assume @p74 (forall @t201 (or (= @t105 @t14) @t86))) % 0.86/1.03 (assume @p75 (forall @t201 (or (= @t105 @t26) @t202))) % 0.86/1.03 (assume @p76 (forall @t207 (or @t206 @t205 @t204))) % 0.86/1.03 (assume @p77 (forall @t207 (or @t206 (not @t205) @t203))) % 0.86/1.03 (assume @p78 (forall @t207 (or @t206 (= @t133 @t132) @t209))) % 0.86/1.03 (assume @p79 (forall @t182 (or @t210 @t104 @t102))) % 0.86/1.03 (assume @p80 (forall (@list @t26 @t14 @t13) (tptp.c_lessequals @t26 @t31 @t24))) % 0.86/1.03 (assume @p81 (forall @t201 (tptp.c_lessequals @t14 @t31 @t24))) % 0.86/1.03 (assume @p82 (forall @t217 (or @t141 @t216 @t214 @t212))) % 0.86/1.03 (assume @p83 (forall @t207 (or @t141 @t218))) % 0.86/1.03 (assume @p84 (forall @t220 (or @t141 @t219))) % 0.86/1.03 (assume @p85 (forall @t140 (or @t141 (tptp.c_lessequals @t135 @t21 @t13) (not @t221) @t209))) % 0.86/1.03 (assume @p86 (forall @t138 (or @t141 @t226 @t225 @t223))) % 0.86/1.03 (assume @p87 (forall @t220 (or @t188 @t219))) % 0.86/1.03 (assume @p88 (forall @t207 (or @t188 @t218))) % 0.86/1.03 (assume @p89 (forall @t201 (= @t105 @t125))) % 0.86/1.03 (assume @p90 (forall @t207 (or @t206 @t227))) % 0.86/1.03 (assume @p91 (forall @t207 (or @t188 @t227))) % 0.86/1.03 (assume @p92 (forall @t228 (not (= tptp.c_Com_Ocom_OSKIP @t29)))) % 0.86/1.03 (assume @p93 (forall @t138 (or @t188 (tptp.c_lessequals @t134 @t136 @t13)))) % 0.86/1.03 (assume @p94 (forall (@list @t70 @t45 @t69 @t72 @t11) (not (= @t83 @t73)))) % 0.86/1.03 (assume @p95 (forall @t182 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t230 @t24) @t124 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t35 @t24) @t229 @t24)))) % 0.86/1.03 (assume @p96 (forall (@list @t51 @t233 @t13 @t21 @t234 @t49) (or (not @t242) @t240 @t236))) % 0.86/1.03 (assume @p97 (forall @t246 (or @t245 @t243))) % 0.86/1.03 (assume @p98 (forall @t246 (or @t245 @t239))) % 0.86/1.03 (assume @p99 (forall (@list @t21 @t199 @t13) (or (not (= (tptp.c_Set_Oinsert @t21 @t199 @t13) @t116)) (tptp.hBOOL (tptp.c_in @t21 @t199 @t13))))) % 0.86/1.03 (assume @p100 (forall (@list @t69 @t72 @t11 @t46 @t45 @t44) (not (= @t73 @t47)))) % 0.86/1.03 (assume @p101 (forall @t248 (or @t247 @t90))) % 0.86/1.03 (assume @p102 (forall (@list @t69 @t72 @t11 @t45 @t44) (not (= @t73 @t249)))) % 0.86/1.03 (assume @p103 (forall (@list @t132 @t14 @t13 @t21) (or @t252 @t251))) % 0.86/1.03 (assume @p104 (forall @t253 (or (= (tptp.c_Set_Oinsert @t112 @t98 @t49) @t98) @t114))) % 0.86/1.03 (assume @p105 (forall @t255 (or @t254 @t86 @t113))) % 0.86/1.03 (assume @p106 (forall @t91 (or @t85 @t113 @t256))) % 0.86/1.03 (assume @p107 (forall (@list @t1 @t4 @t46 @t45 @t44) (not (= @t5 @t47)))) % 0.86/1.03 (assume @p108 (forall (@list @t16 @t14 @t13 @t26) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t32 @t24) @t257))) % 0.86/1.03 (assume @p109 (forall (@list @t171 @t233 @t49 @t21 @t13) (not (= (tptp.c_Fun_Ofun__upd @t171 @t233 @t258 @t13 @t52) @t163)))) % 0.86/1.03 (assume @p110 (forall @t142 (= (tptp.c_Set_Oinsert @t21 @t88 @t13) @t88))) % 0.86/1.03 (assume @p111 (forall (@list @t259 @t11 @t10 @t70 @t45) (not (= @t260 @t83)))) % 0.86/1.03 (assume @p112 (forall (@list @t14 @t21 @t132 @t13) (or @t250 (= @t132 @t21) (not @t252)))) % 0.86/1.03 (assume @p113 (forall (@list @t45 @t2 @t6 @t11 @t10) (not (= @t92 @t12)))) % 0.86/1.03 (assume @p114 (forall (@list @t51 @t234 @t13 @t49) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t51 @t234 @t13 @t49) @t13 @t49) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t234 @t13 @t49) @t261 @t24)))) % 0.86/1.03 (assume @p115 (forall @t100 (or @t264 @t263 @t262))) % 0.86/1.03 (assume @p116 (forall (@list @t11 @t1 @t4 @t46 @t45 @t44) (not (= @t29 @t47)))) % 0.86/1.03 (assume @p117 (forall (@list @t26 @t16 @t13) (tptp.c_lessequals @t26 @t32 @t24))) % 0.86/1.03 (assume @p118 (forall (@list @t14 @t13 @t16) (or @t107 (not @t265)))) % 0.86/1.03 (assume @p119 (forall @t266 (or @t265 @t108))) % 0.86/1.03 (assume @p120 (forall (@list @t11 @t1 @t4 @t2 @t6) (not (= @t29 @t7)))) % 0.86/1.03 (assume @p121 (forall (@list @t93 @t14 @t26 @t13 @t49) (or @t106 @t95))) % 0.86/1.03 (assume @p122 (forall @t268 (or @t267 @t30))) % 0.86/1.03 (assume @p123 (forall @t268 (or @t267 @t3))) % 0.86/1.03 (assume @p124 (forall @t268 (or @t267 @t79))) % 0.86/1.03 (assume @p125 (forall @t270 (tptp.c_lessequals (tptp.c_Set_Oimage @t93 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t26 @t96) @t49 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t109 @t269 @t24) @t24))) % 0.86/1.03 (assume @p126 (forall @t278 (or @t277 @t276 @t273))) % 0.86/1.03 (assume @p127 (forall @t182 (or (not @t280) @t279))) % 0.86/1.03 (assume @p128 (forall @t182 (or @t280 @t281))) % 0.86/1.03 (assume @p129 (forall @t282 (tptp.hBOOL (tptp.c_in @t21 @t25 @t13)))) % 0.86/1.03 (assume @p130 (forall (@list @t51 @t283 @t49) (= (tptp.c_Map_Omap__comp @t51 (tptp.c_COMBK @t284 (tptp.tc_Option_Ooption @t283) tptp.t_a) tptp.v_x @t283 @t49 tptp.t_a) @t147))) % 0.86/1.03 (assume @p131 (forall (@list @t49 @t283 @t51) (= (tptp.c_Map_Omap__comp (tptp.c_COMBK @t147 @t52 @t283) @t51 tptp.v_x @t283 @t49 tptp.t_a) @t147))) % 0.86/1.03 (assume @p132 (forall (@list @t69 @t72 @t11 @t45 @t2 @t6) (not (= @t73 @t92)))) % 0.86/1.03 (assume @p133 (forall (@list @t16 @t14 @t13 @t93 @t49) (or @t287 (not @t286) @t95))) % 0.86/1.03 (assume @p134 (forall (@list @t93 @t16 @t14 @t13 @t49) (or @t286 @t288 @t95))) % 0.86/1.03 (assume @p135 (forall (@list @t70 @t45 @t11 @t10) (not (= @t83 @t12)))) % 0.86/1.03 (assume @p136 (forall (@list @t291 @t290 @t289 @t13 @t49) (= (tptp.c_Map_Omap__add @t291 (tptp.c_Map_Omap__add @t290 @t289 @t13 @t49) @t13 @t49) (tptp.c_Map_Omap__add @t292 @t289 @t13 @t49)))) % 0.86/1.03 (assume @p137 (forall (@list @t70 @t45 @t259 @t11 @t10) (not (= @t83 @t260)))) % 0.86/1.03 (assume @p138 (forall (@list @t51 @t16 @t38 @t13 @t49 @t40 @t294) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t51 @t16 @t38 @t13 @t49) @t40 @t294 @t13 @t49) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t51 @t40 @t294 @t13 @t49) @t16 @t38 @t13 @t49)) @t293))) % 0.86/1.03 (assume @p139 (forall @t149 (or @t197 @t95 @t195))) % 0.86/1.03 (assume @p140 (forall @t297 (or @t296 @t250 (not @t295)))) % 0.86/1.03 (assume @p141 (forall @t91 (or @t295 @t298))) % 0.86/1.03 (assume @p142 (forall @t91 (or @t295 @t251))) % 0.86/1.03 (assume @p143 (forall @t84 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 tptp.c_Com_Ocom_OSKIP @t13) @t64))) % 0.86/1.03 (assume @p144 (forall @t301 (or (= @t299 @t14) (not @t300) (not (tptp.c_lessequals @t299 @t14 @t24)) @t108))) % 0.86/1.03 (assume @p145 (forall @t192 (or @t191 @t193 (not @t302)))) % 0.86/1.03 (assume @p146 (forall @t138 (or @t188 @t305))) % 0.86/1.03 (assume @p147 (forall @t138 (or @t188 @t306))) % 0.86/1.03 (assume @p148 (forall @t138 (or @t206 @t306))) % 0.86/1.03 (assume @p149 (forall @t138 (or @t206 @t305))) % 0.86/1.03 (assume @p150 (forall @t182 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t105 @t34 @t24) @t307))) % 0.86/1.03 (assume @p151 (forall @t129 (= @t307 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t127 @t24)))) % 0.86/1.03 (assume @p152 (forall (@list @t46 @t45 @t44 @t11 @t10) (not (= @t47 @t12)))) % 0.86/1.03 (assume @p153 (forall @t312 (or (not @t311) @t309))) % 0.86/1.03 (assume @p154 (forall (@list @t16 @t51 @t13 @t49) (or @t308 @t311))) % 0.86/1.03 (assume @p155 (forall (@list @t271 @t13 @t274) (or @t272 @t313))) % 0.86/1.03 (assume @p156 (forall (@list @t274 @t13 @t271) (or @t275 @t313))) % 0.86/1.03 (assume @p157 (forall @t100 (or @t264 @t95 @t262))) % 0.86/1.03 (assume @p158 (forall (@list @t93 @t314 @t49 @t13) (or (not (= (tptp.c_Option_Omap @t93 @t314 @t49 @t13) @t237)) (= @t314 @t147)))) % 0.86/1.03 (assume @p159 (forall @t316 (or @t22 @t315 (= @t26 @t20)))) % 0.86/1.03 (assume @p160 (forall @t316 (or @t22 @t315 (= @t14 @t20)))) % 0.86/1.03 (assume @p161 (forall (@list @t70 @t45 @t11 @t1 @t4) (not (= @t83 @t29)))) % 0.86/1.03 (assume @p162 (forall (@list @t274 @t153 @t40 @t294 @t320 @t13 @t154) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 (tptp.c_Com_Ocom_OSemi @t40 @t294) @t320 @t13) @t319 @t317) @t13) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t154 @t294 @t320 @t13) @t319 @t317) @t13)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 @t40 @t154 @t13) @t319 @t317) @t13))))) % 0.86/1.03 (assume @p163 (forall @t48 (not (= tptp.c_Com_Ocom_OSKIP @t12)))) % 0.86/1.03 (assume @p164 (forall @t321 (not (= tptp.c_Com_Ocom_OSKIP @t260)))) % 0.86/1.03 (assume @p165 (forall @t323 (= (tptp.c_Fun_Ofun__upd @t322 @t21 @t130 @t13 @t49) (tptp.c_Fun_Ofun__upd @t93 @t21 @t130 @t13 @t49)))) % 0.86/1.03 (assume @p166 (forall @t248 (or @t324 @t114 (not (= @t105 @t116))))) % 0.86/1.03 (assume @p167 (forall @t23 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t20 @t13) @t21)))) % 0.86/1.03 (assume @p168 (forall @t23 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t21 @t13) @t21)))) % 0.86/1.03 (assume @p169 (forall @t27 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t26 @t24) @t26))) % 0.86/1.03 (assume @p170 (forall @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t25 @t24) @t14))) % 0.86/1.03 (assume @p171 (forall @t138 (or @t188 (tptp.c_lessequals @t326 @t325 @t13)))) % 0.86/1.03 (assume @p172 (forall @t207 (or @t188 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t133 @t13) @t21)))) % 0.86/1.03 (assume @p173 (forall @t23 (tptp.hBOOL (tptp.hAPP @t25 @t21)))) % 0.86/1.03 (assume @p174 (forall (@list @t16 @t14 @t13 @t38) (or @t287 @t328 (not @t327)))) % 0.86/1.03 (assume @p175 (forall @t329 (or (not (tptp.class_Orderings_Otop @t49)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t121) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t49))))) % 0.86/1.03 (assume @p176 (forall (@list @t45 @t44 @t69 @t72 @t11) (not (= @t249 @t73)))) % 0.86/1.03 (assume @p177 (forall (@list @t37) (tptp.hBOOL (tptp.hAPP @t330 @t37)))) % 0.86/1.03 (assume @p178 (forall (@list @t1 @t4 @t70 @t45) (not (= @t5 @t83)))) % 0.86/1.03 (assume @p179 (forall @t201 (or @t262 @t202 @t86))) % 0.86/1.03 (assume @p180 (forall (@list @t332 @t171 @t40 @t37) (or (= @t332 @t171) (not (tptp.hBOOL (tptp.hAPP @t331 @t332))) (not (tptp.hBOOL (tptp.hAPP @t331 @t171)))))) % 0.86/1.03 (assume @p181 (forall @t207 (or @t333 @t195 @t209 @t204))) % 0.86/1.03 (assume @p182 (forall @t207 (or @t333 @t195 @t204 @t209))) % 0.86/1.03 (assume @p183 (forall @t321 (not (= @t260 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p184 (forall @t207 (or @t188 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t184 @t13) @t21)))) % 0.86/1.03 (assume @p185 (forall @t207 (or @t141 (= @t184 @t21) @t209))) % 0.86/1.03 (assume @p186 (forall @t207 (or @t141 (not @t334) @t203))) % 0.86/1.03 (assume @p187 (forall @t207 (or @t141 @t334 @t204))) % 0.86/1.03 (assume @p188 (forall @t201 (or @t335 @t86))) % 0.86/1.03 (assume @p189 (forall @t201 (or (= @t31 @t14) @t202))) % 0.86/1.03 (assume @p190 (forall @t201 (or (not @t335) @t85))) % 0.86/1.03 (assume @p191 (forall @t336 (tptp.hBOOL (tptp.c_Option_Ois__none @t237 @t13)))) % 0.86/1.03 (assume @p192 (forall @t178 (= (tptp.c_Option_Ooption_Ooption__case @t64 @t63 @t147 @t13 @t49) @t64))) % 0.86/1.03 (assume @p193 (= (tptp.hAPP @t337 tptp.v_x) (tptp.c_in tptp.v_x @t337 tptp.t_a))) % 0.86/1.03 (assume @p194 (forall (@list @t172 @t37 @t171 @t38 @t167) (or @t338 @t39 @t174))) % 0.86/1.03 (assume @p195 (forall @t170 (or @t169 (not (tptp.hBOOL (tptp.hAPP @t176 @t160))) @t39))) % 0.86/1.03 (assume @p196 (forall @t340 (not (= tptp.c_Com_Ocom_OSKIP @t339)))) % 0.86/1.03 (assume @p197 (forall @t158 (= (tptp.c_Fun_Ofun__upd @t93 @t21 @t112 @t49 @t13) @t93))) % 0.86/1.03 (assume @p198 (forall (@list @t93 @t21 @t132 @t49 @t13) (= (tptp.hAPP @t341 @t21) @t132))) % 0.86/1.03 (assume @p199 (forall (@list @t93 @t21 @t13 @t49) (= (tptp.c_Fun_Ofun__upd @t93 @t21 @t112 @t13 @t49) @t93))) % 0.86/1.03 (assume @p200 (forall (@list @t93 @t21 @t132 @t13 @t342) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t93 @t21 @t132 @t13 @t342) @t21) @t132))) % 0.86/1.03 (assume @p201 (forall (@list @t93 @t21 @t342 @t13) (= (tptp.c_Fun_Ofun__upd @t93 @t21 @t112 @t342 @t13) @t93))) % 0.86/1.03 (assume @p202 (forall @t348 (or @t347 (= @t344 @t343)))) % 0.86/1.03 (assume @p203 (forall @t348 (or @t347 @t349))) % 0.86/1.03 (assume @p204 (forall @t91 (or @t85 @t256 @t113))) % 0.86/1.03 (assume @p205 (forall @t350 (or (not (= @t88 @t143)) @t247 @t113 @t262))) % 0.86/1.03 (assume @p206 (forall @t33 (or (= @t351 @t105) @t287))) % 0.86/1.03 (assume @p207 (forall @t36 (or (= @t353 @t230) @t352))) % 0.86/1.03 (assume @p208 (forall (@list @t34 @t26 @t13 @t14) (or @t356 @t355))) % 0.86/1.03 (assume @p209 (forall (@list @t34 @t14 @t13 @t26) (or @t279 @t355))) % 0.86/1.03 (assume @p210 (forall @t361 (or @t206 @t360 @t359))) % 0.86/1.03 (assume @p211 (forall (@list @t13 @t21 @t38 @t16) (or @t206 @t362 @t359))) % 0.86/1.03 (assume @p212 (forall @t217 (or @t206 @t363 @t212))) % 0.86/1.03 (assume @p213 (forall @t217 (or @t206 @t363 @t214))) % 0.86/1.03 (assume @p214 (forall @t138 (or @t206 @t203 @t365))) % 0.86/1.03 (assume @p215 (forall @t366 (or @t206 @t222 @t365))) % 0.86/1.03 (assume @p216 (forall @t68 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t7 @t13) @t67))) % 0.86/1.03 (assume @p217 (forall (@list @t46 @t45 @t44 @t1 @t4) (not (= @t47 @t5)))) % 0.86/1.03 (assume @p218 (forall @t201 (= @t31 @t367))) % 0.86/1.03 (assume @p219 (forall @t207 (or @t141 @t369))) % 0.86/1.03 (assume @p220 (forall @t207 (or @t188 @t369))) % 0.86/1.03 (assume @p221 (forall @t371 (or @t370 @t79))) % 0.86/1.03 (assume @p222 (forall @t371 (or @t370 @t349))) % 0.86/1.03 (assume @p223 (forall @t282 (or (= @t21 @t237) (not (tptp.hBOOL (tptp.c_Option_Ois__none @t21 @t13)))))) % 0.86/1.03 (assume @p224 (forall @t145 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t75 @t13) @t144))) % 0.86/1.03 (assume @p225 (forall @t266 (or (= @t17 @t14) @t288))) % 0.86/1.03 (assume @p226 (forall @t266 (= @t17 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t117 @t14 @t24)))) % 0.86/1.03 (assume @p227 (forall @t372 (= (tptp.c_Option_Omap @t93 @t147 @t49 @t13) @t237))) % 0.86/1.03 (assume @p228 (forall @t201 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t31 @t24) @t31))) % 0.86/1.03 (assume @p229 (forall @t207 (or @t141 @t373))) % 0.86/1.03 (assume @p230 (forall @t207 (or @t188 @t373))) % 0.86/1.03 (assume @p231 (forall @t228 (not (= @t29 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p232 (forall (@list @t11 @t10 @t45 @t2 @t6) (not (= @t12 @t92)))) % 0.86/1.03 (assume @p233 (forall @t375 (or @t374 @t107))) % 0.86/1.03 (assume @p234 (forall (@list @t13 @t16 @t38) (or @t18 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t377 @t13) @t215)))) % 0.86/1.03 (assume @p235 (forall (@list @t51 @t233 @t13 @t234 @t49) (or (not @t243) @t240 @t244))) % 0.86/1.03 (assume @p236 (forall @t380 (= @t379 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t378 @t40 @t161 tptp.tc_Com_Ostate)))) % 0.86/1.03 (assume @p237 (forall (@list @t2 @t6 @t69 @t72 @t11) (not (= @t7 @t73)))) % 0.86/1.03 (assume @p238 (= (tptp.c_Option_Ois__none tptp.v_x tptp.t_a) (tptp.hAPP (tptp.hAPP (tptp.c_fequal (tptp.tc_Option_Ooption tptp.t_a)) tptp.v_x) (tptp.c_Option_Ooption_ONone tptp.t_a)))) % 0.86/1.03 (assume @p239 (forall @t156 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t83 @t13) @t155))) % 0.86/1.03 (assume @p240 (forall (@list @t11 @t1 @t4 @t70 @t45) (not (= @t29 @t83)))) % 0.86/1.03 (assume @p241 (forall @t297 (or @t296 @t382))) % 0.86/1.03 (assume @p242 (forall @t255 (or @t250 @t382))) % 0.86/1.03 (assume @p243 (forall @t149 (or (not (= @t322 @t93)) (= @t112 @t132)))) % 0.86/1.03 (assume @p244 (forall (@list @t290 @t233 @t49 @t291 @t13 @t283) (or (not (= @t385 @t147)) @t384))) % 0.86/1.03 (assume @p245 (forall (@list @t290 @t233 @t13 @t291 @t283 @t49) (or (not (= @t385 @t237)) (= @t386 @t284)))) % 0.86/1.03 (assume @p246 (forall @t301 (or @t300 (not (tptp.c_lessequals @t14 @t299 @t24)) @t108))) % 0.86/1.03 (assume @p247 (forall (@list @t93 @t26 @t13 @t49 @t14) (or @t387 @t263))) % 0.86/1.03 (assume @p248 (forall @t100 (or @t94 @t263))) % 0.86/1.03 (assume @p249 (forall @t389 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t249 @t13) (tptp.hAPP @t388 @t80)))) % 0.86/1.03 (assume @p250 (forall @t395 (or @t394 (not @t391)))) % 0.86/1.03 (assume @p251 (forall @t336 (or @t18 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t13) @t20)))) % 0.86/1.03 (assume @p252 (forall @t397 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t92 @t13) (tptp.hAPP (tptp.hAPP @t396 @t66) @t65)))) % 0.86/1.03 (assume @p253 (forall (@list @t171 @t37) (or @t398 (not (tptp.hBOOL (tptp.hAPP @t330 @t171)))))) % 0.86/1.03 (assume @p254 (forall @t278 (or @t399 @t276))) % 0.86/1.03 (assume @p255 (forall @t278 (or @t399 @t273))) % 0.86/1.03 (assume @p256 (forall (@list @t49 @t93 @t21 @t118 @t13) (or (not (tptp.class_HOL_Oord @t49)) (tptp.c_lessequals @t112 (tptp.hAPP @t118 @t21) @t49) (not (tptp.c_lessequals @t93 @t118 (tptp.tc_fun @t13 @t49)))))) % 0.86/1.03 (assume @p257 (forall (@list @t49 @t13 @t21 @t199) (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t163 @t21 (tptp.hAPP @t54 @t199) @t13 @t52) @t13 @t49) @t400))) % 0.86/1.03 (assume @p258 (forall @t23 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t401 @t21 @t13) @t21)))) % 0.86/1.03 (assume @p259 (forall @t23 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t401 @t13) @t21)))) % 0.86/1.03 (assume @p260 (forall @t23 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t401 @t21 @t13) @t401)))) % 0.86/1.03 (assume @p261 (forall @t23 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t401 @t13) @t401)))) % 0.86/1.03 (assume @p262 (forall @t23 (or (not (tptp.class_Orderings_Obot @t13)) (tptp.c_lessequals @t401 @t21 @t13)))) % 0.86/1.03 (assume @p263 (forall @t316 (or @t22 @t402 (= @t14 @t401)))) % 0.86/1.03 (assume @p264 (forall @t316 (or @t22 @t402 (= @t26 @t401)))) % 0.86/1.03 (assume @p265 (forall @t336 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t116 @t24) @t116))) % 0.86/1.03 (assume @p266 (forall @t282 @t403)) % 0.86/1.03 (assume @p267 (forall @t405 (or @t404 @t403))) % 0.86/1.03 (assume @p268 (forall (@list @t40 @t13) (not (tptp.hBOOL (tptp.c_in @t40 @t116 @t13))))) % 0.86/1.03 (assume @p269 (forall (@list @t16 @t13) (not (tptp.hBOOL (tptp.c_in @t16 @t116 @t13))))) % 0.86/1.03 (assume @p270 (forall @t19 (not (= @t116 @t17)))) % 0.86/1.03 (assume @p271 (forall @t336 (tptp.c_lessequals @t116 @t116 @t24))) % 0.86/1.03 (assume @p272 (forall @t28 (or @t406 (not (tptp.c_lessequals @t14 @t116 @t24))))) % 0.86/1.03 (assume @p273 (forall @t410 (or @t409 @t408 @t407))) % 0.86/1.03 (assume @p274 (forall @t410 (or @t409 @t411 @t407))) % 0.86/1.03 (assume @p275 (forall @t410 (or @t409 @t408 @t293))) % 0.86/1.03 (assume @p276 (forall @t410 (or @t409 @t411 @t293))) % 0.86/1.03 (assume @p277 (forall @t336 (not (= @t25 @t116)))) % 0.86/1.03 (assume @p278 (forall @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t116 @t24) @t14))) % 0.86/1.03 (assume @p279 @t413) % 0.86/1.03 (assume @p280 (forall @t336 (tptp.c_Finite__Set_Ofinite @t116 @t13))) % 0.86/1.03 (assume @p281 (forall @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t116 @t24) @t116))) % 0.86/1.03 (assume @p282 (forall @t27 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t26 @t24) @t116))) % 0.86/1.03 (assume @p283 (forall @t266 (not (= @t17 @t116)))) % 0.86/1.03 (assume @p284 (forall @t375 (tptp.c_lessequals @t116 @t14 @t24))) % 0.86/1.03 (assume @p285 (forall (@list @t199 @t21 @t13) (= (tptp.c_Set_Oinsert @t199 @t400 @t13) (tptp.c_Set_Oinsert @t21 (tptp.c_Set_Oinsert @t199 @t116 @t13) @t13)))) % 0.86/1.03 (assume @p286 (forall @t414 (tptp.c_Fun_Oinj__on @t93 @t116 @t13 @t49))) % 0.86/1.03 (assume @p287 (forall (@list @t16 @t13 @t38) (or (not (= @t117 @t376)) @t328))) % 0.86/1.03 (assume @p288 (forall @t405 (or @t415 @t403))) % 0.86/1.03 (assume @p289 (forall @t201 (or @t416 (= @t26 @t116)))) % 0.86/1.03 (assume @p290 (forall @t201 (or @t416 @t406))) % 0.86/1.03 (assume @p291 (forall (@list @t93 @t118 @t13 @t283 @t49) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t93 @t118 @t13 @t283 @t49) @t157 @t49 @t283) @t283) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t118 @t157 @t49 @t13) @t13))))) % 0.86/1.03 (assume @p292 (forall (@list @t40 @t13 @t49 @t14) (or (= (tptp.c_Set_Oimage @t418 @t14 @t49 @t13) (tptp.c_Set_Oinsert @t40 @t116 @t13)) @t417))) % 0.86/1.03 (assume @p293 (forall @t270 (= (tptp.c_Set_Oimage @t93 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t26 @t96) @t49 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t109 @t269 @t24)))) % 0.86/1.03 (assume @p294 (forall @t419 (or (not (tptp.c_lessequals @t21 @t14 @t96)) (tptp.c_lessequals (tptp.c_Set_Oimage @t93 @t21 @t49 @t13) @t109 @t24)))) % 0.86/1.03 (assume @p295 (forall @t100 (or @t99 @t86))) % 0.86/1.03 (assume @p296 (forall (@list @t93 @t16 @t26 @t49 @t13) (= (tptp.c_Set_Oimage @t93 (tptp.c_Set_Oinsert @t16 @t26 @t49) @t49 @t13) (tptp.c_Set_Oinsert @t285 @t269 @t13)))) % 0.86/1.03 (assume @p297 (forall (@list @t420 @t271 @t13 @t49) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t420 @t271 @t13 @t49) @t49) @t273))) % 0.86/1.03 (assume @p298 (forall (@list @t21 @t14 @t342 @t93 @t13) (or (not (tptp.hBOOL (tptp.c_in @t21 @t14 @t342))) (tptp.hBOOL (tptp.c_in @t112 (tptp.c_Set_Oimage @t93 @t14 @t342 @t13) @t13))))) % 0.86/1.03 (assume @p299 (forall @t419 (or @t111 @t421))) % 0.86/1.03 (assume @p300 (forall (@list @t93 @t21 @t14 @t49 @t13) (or @t421 @t111))) % 0.86/1.03 (assume @p301 (forall @t253 (or (tptp.hBOOL (tptp.c_in @t112 @t98 @t49)) @t114))) % 0.86/1.03 (assume @p302 (forall @t414 (or (not (= @t148 @t116)) (= @t93 @t163)))) % 0.86/1.03 (assume @p303 (forall (@list @t49 @t13) (= (tptp.c_Map_Odom @t163 @t13 @t49) @t116))) % 0.86/1.03 (assume @p304 (forall @t348 (or @t347 (= @t346 @t345)))) % 0.86/1.03 (assume @p305 (forall (@list @t11 @t10 @t70 @t45) (not (= @t12 @t83)))) % 0.86/1.03 (assume @p306 (forall @t82 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t47 @t13) @t81))) % 0.86/1.03 (assume @p307 (forall @t389 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t249 @t13) @t388))) % 0.86/1.03 (assume @p308 (forall @t36 (or (= @t353 (tptp.c_Set_Oinsert @t16 @t230 @t13)) (not @t352)))) % 0.86/1.03 (assume @p309 (forall @t33 (or (= @t351 @t257) @t288))) % 0.86/1.03 (assume @p310 (forall @t424 (or @t423 @t239 @t422))) % 0.86/1.03 (assume @p311 (forall @t427 (or (tptp.c_lessequals @t31 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t425 @t24) @t24) @t426 @t102))) % 0.86/1.03 (assume @p312 (forall @t207 (or @t188 @t428))) % 0.86/1.03 (assume @p313 (forall @t207 (or @t188 @t429))) % 0.86/1.03 (assume @p314 (forall @t138 (or @t206 @t364 @t223 @t204))) % 0.86/1.03 (assume @p315 (forall @t361 (or @t206 @t358 @t431 @t430))) % 0.86/1.03 (assume @p316 (forall @t207 (or @t206 @t429))) % 0.86/1.03 (assume @p317 (forall @t207 (or @t206 @t428))) % 0.86/1.03 (assume @p318 (forall @t201 (tptp.c_lessequals @t105 @t14 @t24))) % 0.86/1.03 (assume @p319 (forall @t201 (tptp.c_lessequals @t105 @t26 @t24))) % 0.86/1.03 (assume @p320 (forall (@list @t34 @t14 @t26 @t13) (or @t354 (not @t356) @t281))) % 0.86/1.03 (assume @p321 (forall @t28 (tptp.c_lessequals @t14 @t25 @t24))) % 0.86/1.03 (assume @p322 (forall @t23 (or (not (tptp.class_Orderings_Otop @t13)) (tptp.c_lessequals @t21 @t20 @t13)))) % 0.86/1.03 (assume @p323 (forall (@list @t93 @t21 @t132 @t13 @t49 @t14) (or (tptp.c_Fun_Oinj__on @t322 @t14 @t13 @t49) (tptp.hBOOL (tptp.c_in @t132 @t98 @t49)) @t194))) % 0.86/1.03 (assume @p324 (forall (@list @t93 @t21 @t132 @t49 @t13 @t14) (or (= (tptp.c_Set_Oimage @t341 @t14 @t49 @t13) @t109) @t110))) % 0.86/1.03 (assume @p325 (forall @t433 (or @t432 @t79))) % 0.86/1.03 (assume @p326 (forall @t433 (or @t432 @t71))) % 0.86/1.03 (assume @p327 (forall (@list @t69 @t72 @t11 @t70 @t45) (not (= @t73 @t83)))) % 0.86/1.03 (assume @p328 (forall @t434 (not (= @t5 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p329 (forall (@list @t274 @t153 @t13) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t153 tptp.c_Com_Ocom_OSKIP @t153 @t13) @t319 @t317) @t13))) % 0.86/1.03 (assume @p330 (forall (@list @t435 @t13 @t49 @t51) (or @t438 (not @t437)))) % 0.86/1.03 (assume @p331 (forall (@list @t51 @t435 @t13 @t49) (or @t437 (not @t438)))) % 0.86/1.03 (assume @p332 (forall @t140 (or @t137 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t303 @t21 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t368 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t130 @t21 @t13) @t13))))) % 0.86/1.03 (assume @p333 (forall @t138 (or @t137 (= @t326 @t325)))) % 0.86/1.03 (assume @p334 (forall @t129 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t230 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t180 @t24)))) % 0.86/1.03 (assume @p335 (forall @t126 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t230 @t14 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t367 @t229 @t24)))) % 0.86/1.03 (assume @p336 (forall @t142 (tptp.hBOOL (tptp.hAPP @t88 @t21)))) % 0.86/1.03 (assume @p337 (forall @t350 (or @t89 @t86 @t324))) % 0.86/1.03 (assume @p338 (forall (@list @t93 @t118 @t21 @t49 @t132 @t13) (= (tptp.c_Map_Omap__add @t93 (tptp.c_Fun_Ofun__upd @t118 @t21 @t439 @t13 @t52) @t13 @t49) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add @t93 @t118 @t13 @t49) @t21 @t439 @t13 @t52)))) % 0.86/1.03 (assume @p339 (forall @t207 (or @t188 @t440))) % 0.86/1.03 (assume @p340 (forall @t207 (or @t206 @t440))) % 0.86/1.03 (assume @p341 (forall @t201 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t105 @t24) @t105))) % 0.86/1.03 (assume @p342 (forall @t442 (or @t441 @t349))) % 0.86/1.03 (assume @p343 (forall @t442 (or @t441 @t79))) % 0.86/1.03 (assume @p344 (forall @t442 (or @t441 (= @t46 @t259)))) % 0.86/1.03 (assume @p345 (forall @t443 (not (= tptp.c_Com_Ocom_OSKIP @t73)))) % 0.86/1.03 (assume @p346 (forall (@list @t11 @t10 @t2 @t6) (not (= @t12 @t7)))) % 0.86/1.03 (assume @p347 (forall @t336 (or @t374 (tptp.c_Finite__Set_Ofinite @t25 @t13)))) % 0.86/1.03 (assume @p348 (forall @t445 (or @t302 @t444))) % 0.86/1.03 (assume @p349 (forall @t445 (or @t302 @t446))) % 0.86/1.03 (assume @p350 (forall (@list @t38 @t37 @t171 @t40) (or @t39 @t398 (not (tptp.hBOOL (tptp.hAPP @t43 @t171)))))) % 0.86/1.03 (assume @p351 (forall (@list @t291 @t21 @t13 @t290 @t233 @t49 @t283) (or (not (= @t448 @t237)) @t447 @t384))) % 0.86/1.03 (assume @p352 (forall @t23 (or @t206 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t21 @t13) @t21)))) % 0.86/1.03 (assume @p353 (forall @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t14 @t24) @t14))) % 0.86/1.03 (assume @p354 (forall @t140 (or @t141 @t224 @t449))) % 0.86/1.03 (assume @p355 (forall @t366 (or @t141 @t222 @t449))) % 0.86/1.03 (assume @p356 (forall @t361 (or @t141 @t450 @t431))) % 0.86/1.03 (assume @p357 (forall @t361 (or @t141 @t450 @t430))) % 0.86/1.03 (assume @p358 (forall (@list @t13 @t38 @t21 @t16) (or @t141 @t213 @t451))) % 0.86/1.03 (assume @p359 (forall (@list @t13 @t16 @t21 @t38) (or @t141 @t211 @t451))) % 0.86/1.03 (assume @p360 (forall @t453 (or @t101 @t452))) % 0.86/1.03 (assume @p361 (forall @t126 (or @t103 @t452))) % 0.86/1.03 (assume @p362 (forall @t123 (or @t122 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t93 @t118 @t121) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t120 @t119 @t49))))) % 0.86/1.03 (assume @p363 (forall (@list @t13 @t130 @t21 @t132) (or @t333 @t221 (not (tptp.c_lessequals @t130 @t132 @t13)) @t209))) % 0.86/1.03 (assume @p364 (forall @t366 (or @t454 @t222 @t225 @t204))) % 0.86/1.03 (assume @p365 (forall @t248 (or @t247 @t114 @t86))) % 0.86/1.03 (assume @p366 (forall @t192 (or @t191 @t446 @t86))) % 0.86/1.03 (assume @p367 (forall @t282 (tptp.c_lessequals @t21 @t21 @t24))) % 0.86/1.03 (assume @p368 (forall @t248 (or @t247 @t86 @t114))) % 0.86/1.03 (assume @p369 (forall (@list @t171 @t26 @t13 @t14) (or (tptp.hBOOL (tptp.c_in @t171 @t26 @t13)) (not (tptp.hBOOL (tptp.c_in @t171 @t14 @t13))) @t86))) % 0.86/1.03 (assume @p370 (forall @t28 (tptp.c_lessequals @t14 @t14 @t24))) % 0.86/1.03 (assume @p371 (forall @t453 (or @t101 @t104 @t86))) % 0.86/1.03 (assume @p372 (forall @t100 (or @t94 @t86 (not @t387)))) % 0.86/1.03 (assume @p373 (forall @t457 (or @t456 @t415 @t455))) % 0.86/1.03 (assume @p374 (forall @t23 (or @t333 @t458))) % 0.86/1.03 (assume @p375 (forall @t23 (or @t454 @t458))) % 0.86/1.03 (assume @p376 (forall @t460 (or @t107 @t459 @t86))) % 0.86/1.03 (assume @p377 (forall @t457 (or @t456 @t455 @t415))) % 0.86/1.03 (assume @p378 (forall @t460 (or @t107 @t86 @t459))) % 0.86/1.03 (assume @p379 (forall (@list @t13 @t16) (or @t18 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t117 @t13) @t16)))) % 0.86/1.03 (assume @p380 (forall @t443 (not (= @t73 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p381 (forall (@list @t16 @t38 @t26 @t13) (or (tptp.hBOOL (tptp.c_in @t16 @t87 @t13)) (not (tptp.hBOOL (tptp.c_in @t16 @t26 @t13)))))) % 0.86/1.03 (assume @p382 (forall (@list @t16 @t38 @t14 @t13) (or @t327 @t288))) % 0.86/1.03 (assume @p383 (forall @t427 (or (tptp.c_lessequals @t105 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t425 @t24) @t24) @t426 @t102))) % 0.86/1.03 (assume @p384 (forall @t282 (tptp.hBOOL (tptp.c_in @t21 @t400 @t13)))) % 0.86/1.03 (assume @p385 (forall @t397 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t92 @t13) @t396))) % 0.86/1.03 (assume @p386 (forall (@list @t14 @t21 @t13) (or (= @t14 @t400) @t406 (not (tptp.c_lessequals @t14 @t400 @t24))))) % 0.86/1.03 (assume @p387 (forall @t445 (or @t189 @t444 @t446))) % 0.86/1.03 (assume @p388 (forall @t91 (or @t381 @t298 @t251))) % 0.86/1.03 (assume @p389 (forall (@list @t93 @t21 @t132 @t49 @t13 @t130) (or (= (tptp.hAPP @t341 @t130) @t462) @t461))) % 0.86/1.03 (assume @p390 (forall @t323 (or (= (tptp.hAPP @t322 @t130) @t462) @t461))) % 0.86/1.03 (assume @p391 (forall @t340 (not (= @t339 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p392 (forall (@list @t16 @t34 @t13 @t425) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t16 @t34 @t13) (tptp.c_Set_Oinsert @t16 @t425 @t13) @t24) (not (tptp.c_lessequals @t34 @t425 @t24))))) % 0.86/1.03 (assume @p393 (forall (@list @t14 @t49 @t93 @t13) (or (tptp.c_Finite__Set_Ofinite @t14 @t49) (not (tptp.c_Fun_Oinj__on @t93 @t14 @t49 @t13)) (not (tptp.c_Finite__Set_Ofinite @t109 @t13))))) % 0.86/1.03 (assume @p394 (forall @t395 (or @t394 (tptp.hBOOL (tptp.c_in @t51 (tptp.c_Map_Odom @t392 @t13 @t49) @t13))))) % 0.86/1.03 (assume @p395 (forall @t395 (or (= @t393 (tptp.hAPP @t392 @t51)) @t391))) % 0.86/1.03 (assume @p396 (forall (@list @t46 @t45 @t44 @t69 @t72 @t11) (not (= @t47 @t73)))) % 0.86/1.03 (assume @p397 (forall (@list @t172 @t37 @t171 @t167 @t38) (or @t338 @t177 @t174))) % 0.86/1.03 (assume @p398 (forall (@list @t13 @t21 @t14) (or @t18 (tptp.c_lessequals @t21 @t15 @t13) @t114))) % 0.86/1.03 (assume @p399 (forall @t434 (not (= tptp.c_Com_Ocom_OSKIP @t5)))) % 0.86/1.03 (assume @p400 (forall @t220 (or (not (tptp.class_Orderings_Olinorder @t13)) @t208 @t203))) % 0.86/1.03 (assume @p401 (forall (@list @t291 @t13 @t49 @t290) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Map_Odom @t291 @t13 @t49) (tptp.c_Map_Odom @t290 @t13 @t49) @t24) @t116)) (= @t292 (tptp.c_Map_Omap__add @t290 @t291 @t13 @t49))))) % 0.86/1.03 (assume @p402 (forall (@list @t51 @t16 @t49 @t21 @t13 @t234 @t132) (or (not (= (tptp.c_Fun_Ofun__upd @t51 @t16 @t258 @t13 @t52) (tptp.c_Fun_Ofun__upd @t234 @t16 @t439 @t13 @t52))) @t195))) % 0.86/1.03 (assume @p403 (forall @t23 (= (tptp.hAPP (tptp.c_Option_Othe @t13) @t232) @t21))) % 0.86/1.03 (assume @p404 (forall @t465 (= (tptp.c_Option_Ooption_Ooption__rec @t64 @t63 @t464 @t13 @t49) @t463))) % 0.86/1.03 (assume @p405 (forall (@list @t171 @t233 @t13 @t21 @t49) (or (not (= (tptp.hAPP @t171 @t233) @t232)) (= (tptp.c_Fun_Ofun__upd @t171 @t233 @t232 @t49 @t466) @t171)))) % 0.86/1.03 (assume @p406 (forall (@list @t51 @t199 @t13 @t21 @t342) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t51 @t199 @t232 @t342 @t466) @t199) @t232))) % 0.86/1.03 (assume @p407 (forall (@list @t291 @t21 @t13 @t467 @t290 @t233 @t49 @t283) (or (not (= @t448 @t468)) @t447 (= @t383 @t468)))) % 0.86/1.03 (assume @p408 (forall (@list @t153 @t64 @t63 @t199) (or (not (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Option_Ooption_Ooption__case @t64 @t63 (tptp.hAPP @t469 @t199) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t153 (tptp.hAPP @t63 @t199)))))) % 0.86/1.03 (assume @p409 (forall (@list @t153 @t64 @t63 @t16) (or (not (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Option_Ooption_Ooption__case @t64 @t63 (tptp.hAPP @t469 @t16) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t153 @t463))))) % 0.86/1.03 (assume @p410 (forall @t375 (tptp.c_Fun_Oinj__on @t231 @t14 @t13 @t466))) % 0.86/1.03 (assume @p411 (forall @t23 (not (tptp.hBOOL (tptp.c_Option_Ois__none @t232 @t13))))) % 0.86/1.03 (assume @p412 (forall (@list @t13 @t199) (not (= (tptp.hAPP @t231 @t199) @t237)))) % 0.86/1.03 (assume @p413 (forall @t472 (not (= @t471 @t237)))) % 0.86/1.03 (assume @p414 (forall (@list @t51 @t21 @t13 @t132 @t16 @t38 @t49) (or (not @t477) @t476 @t475))) % 0.86/1.03 (assume @p415 (forall @t480 (or @t479 @t477 @t478))) % 0.86/1.03 (assume @p416 (forall @t480 (or @t479 @t477 @t476))) % 0.86/1.03 (assume @p417 (forall @t465 (= (tptp.c_Option_Ooption_Ooption__case @t64 @t63 @t464 @t13 @t49) @t463))) % 0.86/1.03 (assume @p418 (forall (@list @t38 @t132 @t51 @t21 @t342 @t13) (or @t478 (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t51 @t21 (tptp.hAPP @t481 @t38) @t13 (tptp.tc_Option_Ooption @t342)) @t21) (tptp.hAPP @t481 @t132)))))) % 0.86/1.03 (assume @p419 (forall (@list @t13 @t132) (not (= @t237 @t473)))) % 0.86/1.03 (assume @p420 (forall @t472 (not (= @t237 @t471)))) % 0.86/1.03 (assume @p421 (forall @t424 (or @t423 @t242 @t422))) % 0.86/1.03 (assume @p422 (forall (@list @t93 @t49 @t21 @t13) (= (tptp.c_Option_Omap @t93 @t258 @t49 @t13) (tptp.hAPP @t231 @t112)))) % 0.86/1.03 (assume @p423 (forall (@list @t290 @t233 @t13 @t482 @t291 @t283 @t49) (or (not (= @t385 (tptp.hAPP @t231 @t482))) (= @t386 (tptp.hAPP @t291 @t482))))) % 0.86/1.03 (assume @p424 (forall (@list @t153 @t13 @t21) (or (not (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_ATP__Linkup_Osko__Option__Xospec__1__1 @t232 @t153 @t13)))) @t404))) % 0.86/1.03 (assume @p425 (forall (@list @t234 @t233 @t13 @t483 @t51 @t49) (or (not (= @t238 @t484)) (= @t235 @t484)))) % 0.86/1.03 (assume @p426 (forall (@list @t234 @t233 @t13 @t21 @t51 @t49) (or (not @t422) @t236))) % 0.86/1.03 (assume @p427 (forall @t486 (not (= @t485 tptp.c_Com_Ocom_OSKIP)))) % 0.86/1.03 (assume @p428 (forall (@list @t45 @t44 @t72) (not (= @t249 @t485)))) % 0.86/1.03 (assume @p429 (forall @t489 (= (tptp.c_Com_Ocom_Ocom__rec @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t488 @t13) @t487))) % 0.86/1.03 (assume @p430 (forall (@list @t72 @t45 @t2 @t6) (not (= @t485 @t92)))) % 0.86/1.03 (assume @p431 (forall (@list @t45 @t2 @t6 @t72) (not (= @t92 @t485)))) % 0.86/1.03 (assume @p432 (forall (@list @t72 @t70 @t45) (not (= @t485 @t83)))) % 0.86/1.03 (assume @p433 (forall (@list @t70 @t45 @t72) (not (= @t83 @t485)))) % 0.86/1.03 (assume @p434 (forall (@list @t72 @t46 @t45 @t44) (not (= @t485 @t47)))) % 0.86/1.03 (assume @p435 (forall (@list @t72 @t45 @t44) (not (= @t485 @t249)))) % 0.86/1.03 (assume @p436 (forall (@list @t69 @t72 @t11 @t74) (not (= @t73 @t488)))) % 0.86/1.03 (assume @p437 (forall (@list @t72 @t2 @t6) (not (= @t485 @t7)))) % 0.86/1.03 (assume @p438 (forall (@list @t2 @t6 @t72) (not (= @t7 @t485)))) % 0.86/1.03 (assume @p439 (forall (@list @t46 @t45 @t44 @t72) (not (= @t47 @t485)))) % 0.86/1.03 (assume @p440 (forall (@list @t74 @t69 @t72 @t11) (not (= @t488 @t73)))) % 0.86/1.03 (assume @p441 (forall @t489 (= (tptp.c_Com_Ocom_Ocom__case @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t57 @t488 @t13) @t487))) % 0.86/1.03 (assume @p442 (forall @t486 (not (= tptp.c_Com_Ocom_OSKIP @t485)))) % 0.86/1.03 (assume @p443 (forall (@list @t274 @t490 @t13 @t171) (or @t493 @t492))) % 0.86/1.03 (assume @p444 (forall (@list @t274 @t490 @t13 @t494) (or @t493 (not (tptp.c_lessequals @t490 @t494 @t318)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t494 @t13))))) % 0.86/1.03 (assume @p445 (forall @t497 (or @t493 (not (tptp.c_lessequals @t495 @t274 @t318)) @t496))) % 0.86/1.03 (assume @p446 (forall @t499 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t274 @t490 @t13) @t498))) % 0.86/1.03 (assume @p447 (forall @t499 (or @t493 (not (tptp.c_lessequals @t490 @t274 @t318))))) % 0.86/1.03 (assume @p448 (forall (@list @t49 @t132 @t13) (= (tptp.c_Map_Odom (tptp.c_COMBK @t439 @t52 @t13) @t13 @t49) @t25))) % 0.86/1.03 (assume @p449 (forall @t312 (or (= @t310 (tptp.hAPP @t54 (tptp.c_Map_Osko__Map__XdomD__1__1 @t16 @t51 @t13 @t49))) @t309))) % 0.86/1.03 (assume @p450 (forall (@list @t500 @t159 @t160) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t504) @t159) @t160)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t503) @t159) @t160)))))) % 0.86/1.03 (assume @p451 (forall (@list @t153 @t37 @t160) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP @t502 @t506)) @t37) @t160)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t505) @t37) @t160)))))) % 0.86/1.03 (assume @p452 (forall (@list @t167 @t38 @t172) (or @t508 @t507))) % 0.86/1.03 (assume @p453 (forall (@list @t172 @t38 @t167) (or @t509 @t507))) % 0.86/1.03 (assume @p454 (forall (@list @t165 @t167) (or (tptp.c_Com_OWT @t179) @t511 @t510))) % 0.86/1.03 (assume @p455 (forall (@list @t167 @t172) (or @t508 @t512))) % 0.86/1.03 (assume @p456 (forall (@list @t172 @t167) (or @t509 @t512))) % 0.86/1.03 (assume @p457 (forall (@list @t38 @t165 @t167) (or (tptp.c_Com_OWT @t168) @t511 @t510))) % 0.86/1.03 (assume @p458 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.86/1.03 (assume @p459 (forall (@list @t513 @t16) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t513 @t16)))) % 0.86/1.03 (assume @p460 (forall (@list @t38 @t40) (or @t516 @t515))) % 0.86/1.03 (assume @p461 (forall (@list @t40 @t38) (or @t514 (not @t516)))) % 0.86/1.03 (assume @p462 (forall (@list @t517 @t16 @t40) (or @t518 @t515))) % 0.86/1.03 (assume @p463 (forall (@list @t40 @t517 @t16) (or @t514 (not @t518)))) % 0.86/1.03 (assume @p464 (forall (@list @t153 @t40 @t154) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t521 @t524 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t521 @t524 tptp.tc_Com_Ostate)) (not @t523)))) % 0.86/1.03 (assume @p465 (= (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT tptp.v_c) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t378 tptp.v_c (tptp.c_Natural_Oevalc tptp.v_c) tptp.tc_Com_Ostate))) % 0.86/1.03 (assume @p466 (forall (@list @t171) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t171) @t171)) @t525))) % 0.86/1.03 (assume @p467 (forall @t529 (or @t528 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t527 @t274 @t317) @t526 @t13))))) % 0.86/1.03 (assume @p468 (forall @t529 (or @t528 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t526 @t13))))) % 0.86/1.03 (assume @p469 (forall @t329 (or (not (tptp.class_Orderings_Obot @t49)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t121) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t49))))) % 0.86/1.03 (assume @p470 (forall @t336 (or @t18 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t116 @t13) @t401)))) % 0.86/1.03 (assume @p471 (forall (@list @t93 @t118 @t283 @t13 @t49) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t93 @t118 @t283 @t13 @t49) @t157 @t49 @t13) (tptp.c_Set_Oimage @t93 (tptp.c_Set_Oimage @t118 @t157 @t49 @t283) @t283 @t13)))) % 0.86/1.03 (assume @p472 (forall (@list @t40 @t13 @t49) (= (tptp.c_Set_Oimage @t418 @t115 @t49 @t13) @t116))) % 0.86/1.03 (assume @p473 (forall (@list @t274 @t530) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t533 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t530 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t274 @t533 @t520) (tptp.c_Set_Oimage @t531 @t530 tptp.tc_Com_Opname @t519) tptp.tc_Com_Ostate))))) % 0.86/1.03 (assume @p474 (forall (@list @t51 @t16 @t13 @t38 @t49) (or (not (= @t310 @t474)) (tptp.hBOOL (tptp.c_in @t16 (tptp.c_Map_Odom @t51 @t49 @t13) @t49))))) % 0.86/1.03 (assume @p475 @t538) % 0.86/1.03 (assume @p476 (forall (@list @t274 @t171 @t490 @t13) (or @t491 @t498 (not @t539)))) % 0.86/1.03 (assume @p477 (forall (@list @t274 @t171 @t13 @t490) (or @t539 @t492))) % 0.86/1.03 (assume @p478 (forall (@list @t513 @t500 @t16) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t513 @t500 @t16)) (not @t540)))) % 0.86/1.03 (assume @p479 (forall (@list @t153 @t513 @t16) (or @t541 (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t513 @t153 @t16)))))) % 0.86/1.03 (assume @p480 @t543) % 0.86/1.03 (assume @p481 (forall (@list @t274 @t500) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert @t544 @t521 @t519) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t544 @t274 @t519) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t503) @t521 @t519) tptp.tc_Com_Ostate))))) % 0.86/1.03 (assume @p482 (forall @t547 (or @t546 @t515 (tptp.hBOOL (tptp.c_in @t545 @t542 tptp.tc_Com_Opname)) @t525))) % 0.86/1.03 (assume @p483 (forall (@list @t500) (or @t540 (= @t501 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.86/1.03 (assume @p484 (forall @t547 (or @t546 @t515 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t545)) @t521 @t519) tptp.tc_Com_Ostate)) @t525))) % 0.86/1.03 (assume @p485 @t555) % 0.86/1.03 (assume @p486 (forall (@list @t153) (or (= @t506 (tptp.hAPP @t556 (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t153))) (not @t541)))) % 0.86/1.03 (assume @p487 (forall @t380 (or @t523 @t515 @t548 @t525))) % 0.86/1.03 (assume @p488 (forall (@list @t93 @t14 @t49 @t13) (or (not (= @t109 @t116)) @t417))) % 0.86/1.03 (assume @p489 (forall (@list @t500 @t38) (or (not (= @t501 (tptp.hAPP @t556 @t38))) @t548 (tptp.c_Com_OWT @t38)))) % 0.86/1.03 (assume @p490 (forall (@list @t93 @t118 @t14 @t283 @t49 @t13) (= (tptp.c_Set_Oimage @t93 (tptp.c_Set_Oimage @t118 @t14 @t283 @t49) @t49 @t13) (tptp.c_Set_Oimage (tptp.c_COMBB @t93 @t118 @t49 @t13 @t283) @t14 @t283 @t13)))) % 0.86/1.03 (assume @p491 (forall @t497 (or @t493 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t495 @t13)) @t496))) % 0.86/1.03 (assume @p492 (forall @t23 (not (tptp.hBOOL (tptp.hAPP @t116 @t21))))) % 0.86/1.03 (assume @p493 (forall (@list @t274 @t13) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t274 @t319 @t13))) % 0.86/1.03 (assume @p494 (forall (@list @t13 @t16 @t470) (or (not (= (tptp.hAPP @t231 @t16) @t471)) (= @t16 @t470)))) % 0.86/1.03 (assume @p495 (forall (@list @t21 @t199) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t200))) % 0.86/1.03 (assume @p496 (forall (@list @t13 @t93 @t14 @t49) (or (not (= @t116 @t109)) @t417))) % 0.86/1.03 (assume @p497 (forall (@list @t153 @t154 @t49 @t13 @t283 @t320) (= (tptp.hAPP (tptp.c_COMBB @t153 @t154 @t49 @t13 @t283) @t320) (tptp.hAPP @t153 (tptp.hAPP @t154 @t320))))) % 0.86/1.03 (assume @p498 (forall @t372 (= @t557 @t116))) % 0.86/1.03 (assume @p499 (forall (@list @t74 @t72) (or (not (= @t488 @t485)) @t78))) % 0.86/1.03 (assume @p500 (forall (@list @t13 @t93 @t49) (= @t116 @t557))) % 0.86/1.03 (assume @p501 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.86/1.03 (assume @p502 tptp.c_Com_OWT__bodies) % 0.86/1.03 (assume @p503 (tptp.c_Com_OWT tptp.v_c)) % 0.86/1.03 (assume @p504 @t558) % 0.86/1.03 (assume @p505 (not @t559)) % 0.86/1.03 (assume @p506 (forall @t563 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t562) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t560))))) % 0.86/1.03 (assume @p507 (forall @t563 (or (tptp.class_Lattices_Oupper__semilattice @t562) @t564))) % 0.86/1.03 (assume @p508 (forall @t563 (or (tptp.class_Lattices_Olower__semilattice @t562) @t564))) % 0.86/1.03 (assume @p509 (forall @t563 (or (tptp.class_Lattices_Odistrib__lattice @t562) (not (tptp.class_Lattices_Odistrib__lattice @t560))))) % 0.86/1.03 (assume @p510 (forall @t563 (or (tptp.class_Lattices_Obounded__lattice @t562) (not (tptp.class_Lattices_Obounded__lattice @t560))))) % 0.86/1.03 (assume @p511 (forall @t563 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t562) @t565 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t561))))) % 0.86/1.03 (assume @p512 (forall @t563 (or (tptp.class_Orderings_Opreorder @t562) (not (tptp.class_Orderings_Opreorder @t560))))) % 0.86/1.03 (assume @p513 (forall @t563 (or (tptp.class_Lattices_Olattice @t562) @t564))) % 0.86/1.03 (assume @p514 (forall @t563 (or (tptp.class_Orderings_Oorder @t562) (not (tptp.class_Orderings_Oorder @t560))))) % 0.86/1.03 (assume @p515 (forall @t563 (or (tptp.class_Orderings_Otop @t562) (not (tptp.class_Orderings_Otop @t560))))) % 0.86/1.03 (assume @p516 (forall @t563 (or (tptp.class_Orderings_Obot @t562) (not (tptp.class_Orderings_Obot @t560))))) % 0.86/1.03 (assume @p517 (forall @t563 (or (tptp.class_HOL_Oord @t562) (not (tptp.class_HOL_Oord @t560))))) % 0.86/1.03 (assume @p518 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.86/1.03 (assume @p519 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.86/1.03 (assume @p520 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.86/1.03 (assume @p521 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.86/1.03 (assume @p522 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.86/1.03 (assume @p523 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.86/1.03 (assume @p524 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.86/1.03 (assume @p525 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.86/1.03 (assume @p526 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.86/1.03 (assume @p527 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.86/1.03 (assume @p528 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.86/1.03 (assume @p529 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.86/1.03 (assume @p530 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.86/1.03 (assume @p531 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.86/1.03 (assume @p532 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.86/1.03 (assume @p533 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.86/1.03 (assume @p534 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.86/1.03 (assume @p535 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.86/1.03 (assume @p536 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.86/1.03 (assume @p537 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.86/1.03 (assume @p538 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.86/1.03 (assume @p539 (forall (@list @t560) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t560)) @t565))) % 0.86/1.03 (assume @p540 (forall (@list @t153 @t154 @t320 @t49 @t283 @t13) (= (tptp.c_COMBC @t153 @t154 @t320 @t49 @t283 @t13) (tptp.hAPP (tptp.hAPP @t153 @t320) @t154)))) % 0.86/1.03 (assume @p541 (forall @t23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t566 @t21) @t21)))) % 0.86/1.03 (assume @p542 (forall (@list @t513 @t517 @t13) (or (= @t513 @t517) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t566 @t513) @t517)))))) % 0.86/1.03 (step @p543 :rule quant-miniscope-or :args ((= (forall @t554 @t569) (or @t548 @t525 @t568)))) % 0.86/1.03 (step @p544 :rule aci_norm :args ((= @t553 @t569))) % 0.86/1.03 (step @p545 :rule cong :premises (@p544) :args (@t555)) % 0.86/1.03 (step @p546 :rule trans :premises (@p545 @p543)) % 0.86/1.03 (step @p547 :rule eq_resolve :premises (@p485 @p546)) % 0.86/1.03 (step @p548 :rule reordering :premises (@p547) :args ((or @t525 @t548 @t568))) % 0.86/1.03 (step @p549 :rule chain_m_resolution :premises (@p548 @p501 @p502) :args (@t568 @t570 (@list tptp.c_Hoare__Mirabelle_Ostate__not__singleton tptp.c_Com_OWT__bodies))) % 0.86/1.03 (step @p550 :rule instantiate :premises (@p549) :args ((@list @t549))) % 0.86/1.03 (step @p551 :rule instantiate :premises (@p473) :args ((@list @t521 @t542))) % 0.86/1.03 (step @p552 :rule cnf_or_pos :args (@t573)) % 0.86/1.03 (step @p553 :rule reordering :premises (@p552) :args ((or @t559 @t572 @t571 (not @t573)))) % 0.86/1.03 (step @p554 :rule chain_m_resolution :premises (@p553 @p505 @p480 @p551) :args (@t571 (@list true false false) (@list @t559 @t543 @t573))) % 0.86/1.03 (step @p555 :rule false_intro :premises (@p554)) % 0.86/1.03 (step @p556 :rule refl :args (tptp.tc_Com_Ostate)) % 0.86/1.03 (step @p557 :rule refl :args (@t549)) % 0.86/1.03 (step @p558 :rule eq-symm :args (@t412 @t26)) % 0.86/1.03 (step @p559 :rule cong :premises (@p558) :args (@t413)) % 0.86/1.03 (step @p560 :rule eq_resolve :premises (@p279 @p559)) % 0.86/1.03 (step @p561 :rule instantiate :premises (@p560) :args ((@list @t519 @t551))) % 0.86/1.03 (step @p562 :rule cong :premises (@p561 @p557 @p556) :args (@t574)) % 0.86/1.03 (step @p563 :rule trans :premises (@p562 @p555)) % 0.86/1.03 (step @p564 :rule false_elim :premises (@p563)) % 0.86/1.03 (step @p565 :rule instantiate :premises (@p117) :args ((@list @t549 (tptp.hAPP @t531 tptp.v_pn) @t519))) % 0.86/1.03 (step @p566 :rule true_intro :premises (@p565)) % 0.86/1.03 (step @p567 :rule refl :args (@t520)) % 0.86/1.03 (step @p568 :rule instantiate :premises (@p296) :args ((@list @t531 tptp.v_pn @t542 tptp.tc_Com_Opname @t519))) % 0.86/1.03 (step @p569 :rule refl :args (@t519)) % 0.86/1.03 (step @p570 :rule refl :args (tptp.tc_Com_Opname)) % 0.86/1.03 (step @p571 :rule eq-symm :args (@t535 @t534)) % 0.86/1.03 (step @p572 :rule refl :args (@t536)) % 0.86/1.03 (step @p573 :rule nary_cong :premises (@p572 @p571) :args (@t537)) % 0.86/1.03 (step @p574 :rule cong :premises (@p573) :args (@t538)) % 0.86/1.03 (step @p575 :rule eq_resolve :premises (@p475 @p574)) % 0.86/1.03 (step @p576 :rule instantiate :premises (@p575) :args ((@list tptp.c_Com_Obody tptp.v_pn tptp.tc_Com_Ocom tptp.v_y tptp.tc_Com_Opname))) % 0.86/1.03 (step @p577 :rule cnf_or_pos :args (@t577)) % 0.86/1.03 (step @p578 :rule reordering :premises (@p577) :args ((or @t576 @t575 (not @t577)))) % 0.86/1.03 (step @p579 :rule chain_m_resolution :premises (@p578 @p504 @p576) :args (@t575 @t570 (@list @t558 @t577))) % 0.86/1.03 (step @p580 :rule refl :args (@t531)) % 0.86/1.03 (step @p581 :rule cong :premises (@p580 @p579 @p570 @p569) :args (@t549)) % 0.86/1.03 (step @p582 :rule trans :premises (@p581 @p568)) % 0.86/1.03 (step @p583 :rule cong :premises (@p557 @p582 @p567) :args (@t578)) % 0.86/1.03 (step @p584 :rule trans :premises (@p583 @p566)) % 0.86/1.03 (step @p585 :rule true_elim :premises (@p584)) % 0.86/1.03 (step @p586 :rule cnf_or_pos :args (@t580)) % 0.86/1.03 (step @p587 :rule reordering :premises (@p586) :args ((or @t574 @t579 (not @t580)))) % 0.86/1.03 (step @p588 false :rule chain_m_resolution :premises (@p587 @p585 @p564 @p550) :args (false (@list false true false) (@list @t578 @t574 @t580))) % 0.86/1.03 ) % 0.86/1.03 % SZS output end Proof % 0.86/1.03 % cvc5 exiting %------------------------------------------------------------------------------