%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV906-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 0.45s 0.85s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV906-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 21:21:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.85 % SZS status Unsatisfiable % 0.45/0.85 % SZS output start Proof % 0.45/0.87 ( % 0.45/0.87 (declare-sort $$unsorted 0) % 0.45/0.87 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.tc_nat $$unsorted) % 0.45/0.87 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.45/0.87 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.45/0.87 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.45/0.87 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Obody $$unsorted) % 0.45/0.87 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OBODY $$unsorted) % 0.45/0.87 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Hoare__Mirabelle_OMGT $$unsorted) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.45/0.87 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.45/0.87 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.v_y $$unsorted) % 0.45/0.87 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Option_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.tc_bool $$unsorted) % 0.45/0.87 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.v_pn $$unsorted) % 0.45/0.87 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OCall (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.t_a $$unsorted) % 0.45/0.87 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.v_c $$unsorted) % 0.45/0.87 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.45/0.87 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.v_x $$unsorted) % 0.45/0.87 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.87 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted)) % 0.45/0.87 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.87 (define @t1 () (@var "T_b" $$unsorted)) % 0.45/0.87 (define @t2 () (tptp.c_Option_Ooption_ONone @t1)) % 0.45/0.87 (define @t3 () (@var "V_D" $$unsorted)) % 0.45/0.87 (define @t4 () (tptp.tc_Option_Ooption @t1)) % 0.45/0.87 (define @t5 () (@var "T_a" $$unsorted)) % 0.45/0.87 (define @t6 () (@var "V_x" $$unsorted)) % 0.45/0.87 (define @t7 () (tptp.hBOOL (tptp.c_in @t6 @t3 @t5))) % 0.45/0.87 (define @t8 () (@var "V_m" $$unsorted)) % 0.45/0.87 (define @t9 () (tptp.c_Map_Orestrict__map @t8 @t3 @t5 @t1)) % 0.45/0.87 (define @t10 () (tptp.c_Fun_Ofun__upd @t9 @t6 @t2 @t5 @t4)) % 0.45/0.87 (define @t11 () (@list @t8 @t3 @t5 @t1 @t6)) % 0.45/0.87 (define @t12 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.45/0.87 (define @t13 () (@var "V_A" $$unsorted)) % 0.45/0.87 (define @t14 () (tptp.hBOOL (tptp.c_in @t6 @t13 @t5))) % 0.45/0.87 (define @t15 () (not @t14)) % 0.45/0.87 (define @t16 () (tptp.hAPP @t8 @t6)) % 0.45/0.87 (define @t17 () (tptp.hAPP (tptp.c_Map_Orestrict__map @t8 @t13 @t5 @t1) @t6)) % 0.45/0.87 (define @t18 () (@list @t8 @t13 @t5 @t1 @t6)) % 0.45/0.87 (define @t19 () (@var "V_y" $$unsorted)) % 0.45/0.87 (define @t20 () (tptp.c_Map_Orestrict__map (tptp.c_Fun_Ofun__upd @t8 @t6 @t19 @t5 @t4) @t3 @t5 @t1)) % 0.45/0.87 (define @t21 () (@list @t8 @t6 @t19 @t5 @t1 @t3)) % 0.45/0.87 (define @t22 () (@var "V_a" $$unsorted)) % 0.45/0.87 (define @t23 () (@var "V_f" $$unsorted)) % 0.45/0.87 (define @t24 () (tptp.hAPP @t23 @t22)) % 0.45/0.87 (define @t25 () (tptp.c_Set_Oinsert @t22 @t13 @t5)) % 0.45/0.87 (define @t26 () (tptp.tc_fun @t5 tptp.tc_bool)) % 0.45/0.87 (define @t27 () (tptp.c_Orderings_Obot__class_Obot @t26)) % 0.45/0.87 (define @t28 () (tptp.c_Set_Oinsert @t6 @t27 @t5)) % 0.45/0.87 (define @t29 () (tptp.c_Map_Orestrict__map @t8 (tptp.c_HOL_Ominus__class_Ominus @t3 @t28 @t26) @t5 @t1)) % 0.45/0.87 (define @t30 () (tptp.c_Fun_Ofun__upd @t29 @t6 @t19 @t5 @t4)) % 0.45/0.87 (define @t31 () (= (tptp.c_Fun_Ofun__upd @t9 @t6 @t19 @t5 @t4) @t30)) % 0.45/0.87 (define @t32 () (@list @t8 @t3 @t5 @t1 @t6 @t19)) % 0.45/0.87 (define @t33 () (not @t7)) % 0.45/0.87 (define @t34 () (@var "V_C" $$unsorted)) % 0.45/0.87 (define @t35 () (@var "V_B" $$unsorted)) % 0.45/0.87 (define @t36 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t34 @t26)) % 0.45/0.87 (define @t37 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t36 @t26)) % 0.45/0.87 (define @t38 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t35 @t26)) % 0.45/0.87 (define @t39 () (@list @t13 @t35 @t5 @t34)) % 0.45/0.87 (define @t40 () (@var "V_z" $$unsorted)) % 0.45/0.87 (define @t41 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t40 @t5)) % 0.45/0.87 (define @t42 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t41 @t5)) % 0.45/0.87 (define @t43 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t19 @t5)) % 0.45/0.87 (define @t44 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t40 @t5) @t42)) % 0.45/0.87 (define @t45 () (not (tptp.class_Lattices_Oupper__semilattice @t5))) % 0.45/0.87 (define @t46 () (@list @t5 @t6 @t19 @t40)) % 0.45/0.87 (define @t47 () (= @t42 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t40 @t5) @t5))) % 0.45/0.87 (define @t48 () (not (tptp.class_Lattices_Olattice @t5))) % 0.45/0.87 (define @t49 () (tptp.c_lessequals @t13 @t34 @t26)) % 0.45/0.87 (define @t50 () (not @t49)) % 0.45/0.87 (define @t51 () (tptp.c_lessequals @t35 @t34 @t26)) % 0.45/0.87 (define @t52 () (not @t51)) % 0.45/0.87 (define @t53 () (tptp.c_lessequals @t38 @t34 @t26)) % 0.45/0.87 (define @t54 () (@list @t35 @t13 @t5)) % 0.45/0.87 (define @t55 () (@list @t13 @t35 @t5)) % 0.45/0.87 (define @t56 () (tptp.c_lessequals @t22 @t6 @t5)) % 0.45/0.87 (define @t57 () (@var "V_b" $$unsorted)) % 0.45/0.87 (define @t58 () (tptp.c_lessequals @t57 @t6 @t5)) % 0.45/0.87 (define @t59 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t57 @t5)) % 0.45/0.87 (define @t60 () (tptp.c_lessequals @t59 @t6 @t5)) % 0.45/0.87 (define @t61 () (tptp.c_lessequals @t6 @t43 @t5)) % 0.45/0.87 (define @t62 () (@list @t5 @t6 @t19)) % 0.45/0.87 (define @t63 () (tptp.c_lessequals @t19 @t43 @t5)) % 0.45/0.87 (define @t64 () (@list @t5 @t19 @t6)) % 0.45/0.87 (define @t65 () (tptp.c_lessequals @t19 @t6 @t5)) % 0.45/0.87 (define @t66 () (not @t65)) % 0.45/0.87 (define @t67 () (tptp.c_lessequals @t40 @t6 @t5)) % 0.45/0.87 (define @t68 () (@list @t5 @t19 @t40 @t6)) % 0.45/0.87 (define @t69 () (tptp.c_lessequals @t6 @t40 @t5)) % 0.45/0.87 (define @t70 () (tptp.c_lessequals @t19 @t40 @t5)) % 0.45/0.87 (define @t71 () (not @t70)) % 0.45/0.87 (define @t72 () (tptp.c_lessequals @t43 @t40 @t5)) % 0.45/0.87 (define @t73 () (tptp.c_lessequals @t13 @t35 @t26)) % 0.45/0.87 (define @t74 () (not @t73)) % 0.45/0.87 (define @t75 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t13 @t26)) % 0.45/0.87 (define @t76 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t75 @t26)) % 0.45/0.87 (define @t77 () (@var "V_com2_H" $$unsorted)) % 0.45/0.87 (define @t78 () (@var "V_com1_H" $$unsorted)) % 0.45/0.87 (define @t79 () (@var "V_fun_H" $$unsorted)) % 0.45/0.87 (define @t80 () (tptp.c_Com_Ocom_OCond @t79 @t78 @t77)) % 0.45/0.87 (define @t81 () (@list @t79 @t78 @t77)) % 0.45/0.87 (define @t82 () (@var "V_pname_H" $$unsorted)) % 0.45/0.87 (define @t83 () (@var "V_vname_H" $$unsorted)) % 0.45/0.87 (define @t84 () (tptp.c_Com_Ocom_OCall @t83 @t82 @t79)) % 0.45/0.87 (define @t85 () (@var "V_fun" $$unsorted)) % 0.45/0.87 (define @t86 () (@var "V_vname" $$unsorted)) % 0.45/0.87 (define @t87 () (tptp.c_Com_Ocom_OAss @t86 @t85)) % 0.45/0.87 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t35 @t26)) % 0.45/0.87 (define @t89 () (tptp.c_Option_Ooption_ONone @t5)) % 0.45/0.87 (define @t90 () (@list @t5)) % 0.45/0.87 (define @t91 () (@var "V_P" $$unsorted)) % 0.45/0.87 (define @t92 () (tptp.hBOOL (tptp.hAPP @t91 @t22))) % 0.45/0.87 (define @t93 () (tptp.c_Collect @t91 @t5)) % 0.45/0.87 (define @t94 () (tptp.hBOOL (tptp.c_in @t22 @t93 @t5))) % 0.45/0.87 (define @t95 () (@var "V_c" $$unsorted)) % 0.45/0.87 (define @t96 () (tptp.hBOOL (tptp.c_in @t95 @t13 @t5))) % 0.45/0.87 (define @t97 () (not @t96)) % 0.45/0.87 (define @t98 () (tptp.hBOOL (tptp.c_in @t95 @t35 @t5))) % 0.45/0.87 (define @t99 () (tptp.hBOOL (tptp.c_in @t95 @t88 @t5))) % 0.45/0.87 (define @t100 () (@list @t95 @t13 @t35 @t5)) % 0.45/0.87 (define @t101 () (@var "V_com" $$unsorted)) % 0.45/0.87 (define @t102 () (@var "V_loc" $$unsorted)) % 0.45/0.87 (define @t103 () (tptp.c_Com_Ocom_OLocal @t102 @t85 @t101)) % 0.45/0.87 (define @t104 () (tptp.c_Set_Oinsert @t6 @t13 @t5)) % 0.45/0.87 (define @t105 () (tptp.c_lessequals @t104 @t35 @t26)) % 0.45/0.87 (define @t106 () (not @t105)) % 0.45/0.87 (define @t107 () (tptp.hBOOL (tptp.c_in @t6 @t35 @t5))) % 0.45/0.87 (define @t108 () (@list @t6 @t35 @t5 @t13)) % 0.45/0.87 (define @t109 () (= @t13 @t27)) % 0.45/0.87 (define @t110 () (@var "V_M" $$unsorted)) % 0.45/0.87 (define @t111 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.45/0.87 (define @t112 () (tptp.c_Com_Ocom_OWhile @t85 @t101)) % 0.45/0.87 (define @t113 () (tptp.c_Set_Oinsert @t6 @t35 @t5)) % 0.45/0.87 (define @t114 () (tptp.c_lessequals @t13 @t113 @t26)) % 0.45/0.87 (define @t115 () (@list @t13 @t6 @t35 @t5)) % 0.45/0.87 (define @t116 () (not @t114)) % 0.45/0.87 (define @t117 () (@list @t13 @t35 @t5 @t6)) % 0.45/0.87 (define @t118 () (tptp.hBOOL (tptp.c_in @t6 @t13 @t1))) % 0.45/0.87 (define @t119 () (not @t118)) % 0.45/0.87 (define @t120 () (tptp.hAPP @t35 @t6)) % 0.45/0.87 (define @t121 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t35 @t1 @t26)) % 0.45/0.87 (define @t122 () (tptp.hBOOL (tptp.c_in @t22 @t13 @t5))) % 0.45/0.87 (define @t123 () (not @t122)) % 0.45/0.87 (define @t124 () (tptp.hAPP @t35 @t22)) % 0.45/0.87 (define @t125 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.45/0.87 (define @t126 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t35 @t5 @t125)) % 0.45/0.87 (define @t127 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t13 @t26)) % 0.45/0.87 (define @t128 () (tptp.tc_fun tptp.t_a @t1)) % 0.45/0.87 (define @t129 () (tptp.c_Com_Ocom_OSemi @t78 @t77)) % 0.45/0.87 (define @t130 () (@var "V_top" $$unsorted)) % 0.45/0.87 (define @t131 () (@var "V_bot" $$unsorted)) % 0.45/0.87 (define @t132 () (@var "V_sup" $$unsorted)) % 0.45/0.87 (define @t133 () (@var "V_inf" $$unsorted)) % 0.45/0.87 (define @t134 () (@var "V_less" $$unsorted)) % 0.45/0.87 (define @t135 () (@var "V_less__eq" $$unsorted)) % 0.45/0.87 (define @t136 () (@var "V_Sup" $$unsorted)) % 0.45/0.87 (define @t137 () (@var "V_Inf" $$unsorted)) % 0.45/0.87 (define @t138 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t5))) % 0.45/0.87 (define @t139 () (tptp.hAPP @t137 @t13)) % 0.45/0.87 (define @t140 () (tptp.hAPP @t136 @t13)) % 0.45/0.87 (define @t141 () (= @t43 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t6 @t5))) % 0.45/0.87 (define @t142 () (= @t85 @t79)) % 0.45/0.87 (define @t143 () (@var "V_com_H" $$unsorted)) % 0.45/0.87 (define @t144 () (tptp.c_Com_Ocom_OWhile @t79 @t143)) % 0.45/0.87 (define @t145 () (not (= @t112 @t144))) % 0.45/0.87 (define @t146 () (@list @t85 @t101 @t79 @t143)) % 0.45/0.87 (define @t147 () (= @t101 @t143)) % 0.45/0.87 (define @t148 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t43 @t5) @t43)) % 0.45/0.87 (define @t149 () (tptp.hBOOL (tptp.hAPP @t126 @t57))) % 0.45/0.87 (define @t150 () (@var "V_com2" $$unsorted)) % 0.45/0.87 (define @t151 () (@var "V_com1" $$unsorted)) % 0.45/0.87 (define @t152 () (tptp.c_Com_Ocom_OCond @t85 @t151 @t150)) % 0.45/0.87 (define @t153 () (tptp.c_Finite__Set_Ofinite @t13 @t5)) % 0.45/0.87 (define @t154 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t5))) % 0.45/0.87 (define @t155 () (@list @t5 @t13)) % 0.45/0.87 (define @t156 () (tptp.c_Natural_Oevalc @t95)) % 0.45/0.87 (define @t157 () (tptp.c_fequal tptp.tc_Com_Ostate)) % 0.45/0.87 (define @t158 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t95)) % 0.45/0.87 (define @t159 () (@list @t95)) % 0.45/0.87 (define @t160 () (tptp.c_Com_Ocom_OSemi @t151 @t150)) % 0.45/0.87 (define @t161 () (tptp.c_HOL_Ominus__class_Ominus @t104 @t35 @t26)) % 0.45/0.87 (define @t162 () (@list @t6 @t13 @t5 @t35)) % 0.45/0.87 (define @t163 () (tptp.hAPP @t23 @t6)) % 0.45/0.87 (define @t164 () (tptp.c_Fun_Ofun__upd @t23 @t6 @t19 @t5 @t1)) % 0.45/0.87 (define @t165 () (@list @t23 @t6 @t19 @t5 @t1)) % 0.45/0.87 (define @t166 () (tptp.c_Orderings_Otop__class_Otop @t5)) % 0.45/0.87 (define @t167 () (tptp.c_Orderings_Otop__class_Otop @t26)) % 0.45/0.87 (define @t168 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t5))) % 0.45/0.87 (define @t169 () (tptp.c_COMBK @t2 @t4 @t5)) % 0.45/0.87 (define @t170 () (tptp.c_Map_Odom @t23 @t5 @t1)) % 0.45/0.87 (define @t171 () (@list @t13 @t35 @t34 @t5)) % 0.45/0.87 (define @t172 () (@var "V_s1" $$unsorted)) % 0.45/0.87 (define @t173 () (@var "V_s0" $$unsorted)) % 0.45/0.87 (define @t174 () (@var "V_c0" $$unsorted)) % 0.45/0.87 (define @t175 () (tptp.c_Natural_Oevalc @t174)) % 0.45/0.87 (define @t176 () (@var "V_s2" $$unsorted)) % 0.45/0.87 (define @t177 () (@var "V_c1" $$unsorted)) % 0.45/0.87 (define @t178 () (tptp.c_Natural_Oevalc @t177)) % 0.45/0.87 (define @t179 () (tptp.c_Com_Ocom_OSemi @t174 @t177)) % 0.45/0.87 (define @t180 () (tptp.c_Set_Oimage @t23 @t35 @t1 @t5)) % 0.45/0.87 (define @t181 () (tptp.c_Set_Oimage @t23 @t13 @t1 @t5)) % 0.45/0.87 (define @t182 () (@var "V_t" $$unsorted)) % 0.45/0.87 (define @t183 () (@var "V_s" $$unsorted)) % 0.45/0.87 (define @t184 () (@var "V_c2" $$unsorted)) % 0.45/0.87 (define @t185 () (tptp.c_Com_Ocom_OCond @t57 @t177 @t184)) % 0.45/0.87 (define @t186 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t185) @t183) @t182)))) % 0.45/0.87 (define @t187 () (tptp.hAPP @t178 @t183)) % 0.45/0.87 (define @t188 () (tptp.hBOOL (tptp.hAPP @t187 @t182))) % 0.45/0.87 (define @t189 () (tptp.hBOOL (tptp.hAPP @t57 @t183))) % 0.45/0.87 (define @t190 () (not @t189)) % 0.45/0.87 (define @t191 () (tptp.c_Com_Ocom_OCond @t57 @t174 @t177)) % 0.45/0.87 (define @t192 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t191) @t183) @t172))) % 0.45/0.87 (define @t193 () (@list @t57 @t174 @t177 @t183 @t172)) % 0.45/0.87 (define @t194 () (@var "V_N" $$unsorted)) % 0.45/0.87 (define @t195 () (not (tptp.c_lessequals @t110 @t194 @t26))) % 0.45/0.87 (define @t196 () (= @t110 @t27)) % 0.45/0.87 (define @t197 () (not (tptp.c_Finite__Set_Ofinite @t194 @t5))) % 0.45/0.87 (define @t198 () (not (tptp.class_Orderings_Olinorder @t5))) % 0.45/0.87 (define @t199 () (@var "V_y_H" $$unsorted)) % 0.45/0.87 (define @t200 () (@var "V_x_H" $$unsorted)) % 0.45/0.87 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t200 @t199 @t5)) % 0.45/0.87 (define @t202 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t6 @t5)) % 0.45/0.87 (define @t203 () (not (tptp.class_OrderedGroup_Oab__group__add @t5))) % 0.45/0.87 (define @t204 () (@var "V_xa" $$unsorted)) % 0.45/0.87 (define @t205 () (tptp.c_Com_Ocom_OWhile @t57 @t95)) % 0.45/0.87 (define @t206 () (tptp.c_Natural_Oevalc @t205)) % 0.45/0.87 (define @t207 () (tptp.c_Orderings_Otop__class_Otop @t125)) % 0.45/0.87 (define @t208 () (@list @t23 @t6 @t1 @t5)) % 0.45/0.87 (define @t209 () (@var "V_Q" $$unsorted)) % 0.45/0.87 (define @t210 () (@var "V_S" $$unsorted)) % 0.45/0.87 (define @t211 () (tptp.hBOOL (tptp.c_in @t6 @t210 @t5))) % 0.45/0.87 (define @t212 () (tptp.hBOOL (tptp.hAPP @t210 @t6))) % 0.45/0.87 (define @t213 () (tptp.c_Orderings_Obot__class_Obot @t125)) % 0.45/0.87 (define @t214 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t213 @t35 @t1 @t26)) % 0.45/0.87 (define @t215 () (@list @t13 @t1 @t35 @t5)) % 0.45/0.87 (define @t216 () (@var "V_xo" $$unsorted)) % 0.45/0.87 (define @t217 () (tptp.c_Option_Oset @t216 @t5)) % 0.45/0.87 (define @t218 () (tptp.c_Option_Ooption_OSome @t6 @t5)) % 0.45/0.87 (define @t219 () (@list @t5 @t6)) % 0.45/0.87 (define @t220 () (@list @t13 @t5)) % 0.45/0.87 (define @t221 () (@var "V_g" $$unsorted)) % 0.45/0.87 (define @t222 () (not @t153)) % 0.45/0.87 (define @t223 () (tptp.c_Set_Oimage @t23 @t13 @t5 @t1)) % 0.45/0.87 (define @t224 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t13 @t28 @t26) @t35 @t26)) % 0.45/0.87 (define @t225 () (not @t224)) % 0.45/0.87 (define @t226 () (@var "V_i" $$unsorted)) % 0.45/0.87 (define @t227 () (not @t107)) % 0.45/0.87 (define @t228 () (@var "V_pname" $$unsorted)) % 0.45/0.87 (define @t229 () (not (= (tptp.c_Com_Ocom_OCall @t86 @t228 @t85) @t84))) % 0.45/0.87 (define @t230 () (@list @t86 @t228 @t85 @t83 @t82 @t79)) % 0.45/0.87 (define @t231 () (= @t228 @t82)) % 0.45/0.87 (define @t232 () (= @t86 @t83)) % 0.45/0.87 (define @t233 () (@list @t79 @t143)) % 0.45/0.87 (define @t234 () (tptp.c_Finite__Set_Ofinite @t88 @t5)) % 0.45/0.87 (define @t235 () (tptp.hAPP @t206 @t183)) % 0.45/0.87 (define @t236 () (= @t150 @t77)) % 0.45/0.87 (define @t237 () (not (= @t160 @t129))) % 0.45/0.87 (define @t238 () (@list @t151 @t150 @t78 @t77)) % 0.45/0.87 (define @t239 () (= @t151 @t78)) % 0.45/0.87 (define @t240 () (tptp.c_Complete__Lattice_OSup__class_OSup @t13 @t5)) % 0.45/0.87 (define @t241 () (@list @t5 @t22 @t13)) % 0.45/0.87 (define @t242 () (not (tptp.class_Lattices_Obounded__lattice @t5))) % 0.45/0.87 (define @t243 () (@list @t5 @t35)) % 0.45/0.87 (define @t244 () (not (tptp.c_Finite__Set_Ofinite @t35 @t5))) % 0.45/0.87 (define @t245 () (not @t234)) % 0.45/0.87 (define @t246 () (@list @t13 @t5 @t35)) % 0.45/0.87 (define @t247 () (tptp.c_Option_Ooption_OSome @t6 @t1)) % 0.45/0.87 (define @t248 () (@var "V_k" $$unsorted)) % 0.45/0.87 (define @t249 () (@var "V_loc_H" $$unsorted)) % 0.45/0.87 (define @t250 () (tptp.c_Com_Ocom_OLocal @t249 @t79 @t143)) % 0.45/0.87 (define @t251 () (= @t120 @t27)) % 0.45/0.87 (define @t252 () (not @t99)) % 0.45/0.87 (define @t253 () (not @t98)) % 0.45/0.87 (define @t254 () (@list @t95 @t35 @t5 @t13)) % 0.45/0.87 (define @t255 () (@var "V_I" $$unsorted)) % 0.45/0.87 (define @t256 () (tptp.hAPP @t13 @t6)) % 0.45/0.87 (define @t257 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t255 @t13 @t5 @t125)) % 0.45/0.87 (define @t258 () (not (= @t152 @t80))) % 0.45/0.87 (define @t259 () (@list @t85 @t151 @t150 @t79 @t78 @t77)) % 0.45/0.87 (define @t260 () (@var "V_F" $$unsorted)) % 0.45/0.87 (define @t261 () (tptp.c_Finite__Set_Ofinite @t260 @t5)) % 0.45/0.87 (define @t262 () (not @t261)) % 0.45/0.87 (define @t263 () (@var "V_G" $$unsorted)) % 0.45/0.87 (define @t264 () (tptp.c_Finite__Set_Ofinite @t263 @t5)) % 0.45/0.87 (define @t265 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t263 @t26) @t5)) % 0.45/0.87 (define @t266 () (tptp.c_lessequals @t95 @t22 @t5)) % 0.45/0.87 (define @t267 () (@var "V_d" $$unsorted)) % 0.45/0.87 (define @t268 () (tptp.c_lessequals @t57 @t267 @t5)) % 0.45/0.87 (define @t269 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t22 @t57 @t5)) % 0.45/0.87 (define @t270 () (tptp.c_lessequals @t269 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t95 @t267 @t5) @t26)) % 0.45/0.87 (define @t271 () (not (tptp.class_Orderings_Oorder @t5))) % 0.45/0.87 (define @t272 () (@list @t5 @t22 @t57 @t95 @t267)) % 0.45/0.87 (define @t273 () (not @t270)) % 0.45/0.87 (define @t274 () (tptp.c_lessequals @t22 @t57 @t5)) % 0.45/0.87 (define @t275 () (not @t274)) % 0.45/0.87 (define @t276 () (@list @t6 @t5)) % 0.45/0.87 (define @t277 () (= @t22 @t95)) % 0.45/0.87 (define @t278 () (tptp.hBOOL (tptp.hAPP @t38 @t6))) % 0.45/0.87 (define @t279 () (tptp.hBOOL @t256)) % 0.45/0.87 (define @t280 () (tptp.hBOOL @t120)) % 0.45/0.87 (define @t281 () (not @t279)) % 0.45/0.87 (define @t282 () (tptp.hBOOL (tptp.c_in @t95 @t38 @t5))) % 0.45/0.87 (define @t283 () (tptp.hBOOL (tptp.c_in @t22 (tptp.c_Map_Odom @t8 @t5 @t1) @t5))) % 0.45/0.87 (define @t284 () (tptp.hAPP @t8 @t22)) % 0.45/0.87 (define @t285 () (= @t284 @t2)) % 0.45/0.87 (define @t286 () (not @t265)) % 0.45/0.87 (define @t287 () (@list @t249 @t79 @t143)) % 0.45/0.87 (define @t288 () (@list @t23 @t6 @t19 @t5 @t1 @t40)) % 0.45/0.87 (define @t289 () (@list @t13 @t35 @t5 @t34 @t3)) % 0.45/0.87 (define @t290 () (tptp.c_Orderings_Obot__class_Obot @t5)) % 0.45/0.87 (define @t291 () (@list @t1)) % 0.45/0.87 (define @t292 () (tptp.c_lessequals @t13 @t36 @t26)) % 0.45/0.87 (define @t293 () (tptp.c_lessequals @t88 @t34 @t26)) % 0.45/0.87 (define @t294 () (tptp.hAPP (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP) @t183)) % 0.45/0.87 (define @t295 () (= @t182 @t183)) % 0.45/0.87 (define @t296 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t35 @t5) @t290))) % 0.45/0.87 (define @t297 () (@list @t5 @t13 @t35)) % 0.45/0.87 (define @t298 () (tptp.hBOOL (tptp.hAPP @t91 @t6))) % 0.45/0.87 (define @t299 () (not @t298)) % 0.45/0.87 (define @t300 () (not (tptp.hBOOL (tptp.c_in @t6 @t27 @t5)))) % 0.45/0.87 (define @t301 () (@list @t91 @t6 @t5)) % 0.45/0.87 (define @t302 () (not (= @t38 @t27))) % 0.45/0.87 (define @t303 () (@var "T_c" $$unsorted)) % 0.45/0.87 (define @t304 () (tptp.c_Set_Oinsert @t22 @t27 @t5)) % 0.45/0.87 (define @t305 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t304 @t26)) % 0.45/0.87 (define @t306 () (tptp.c_Set_Oinsert @t22 @t305 @t5)) % 0.45/0.87 (define @t307 () (@list @t22 @t13 @t5)) % 0.45/0.87 (define @t308 () (tptp.c_Set_Oinsert @t57 @t27 @t5)) % 0.45/0.87 (define @t309 () (tptp.c_Set_Oinsert @t22 @t308 @t5)) % 0.45/0.87 (define @t310 () (@list @t5 @t22 @t57)) % 0.45/0.87 (define @t311 () (@list @t6 @t13 @t5)) % 0.45/0.87 (define @t312 () (tptp.hBOOL (tptp.c_in @t22 (tptp.c_Set_Oinsert @t57 @t13 @t5) @t5))) % 0.45/0.87 (define @t313 () (tptp.c_Set_Oinsert @t57 @t35 @t5)) % 0.45/0.87 (define @t314 () (tptp.hAPP @t133 @t22)) % 0.45/0.87 (define @t315 () (tptp.hAPP @t132 @t22)) % 0.45/0.87 (define @t316 () (= @t22 @t57)) % 0.45/0.87 (define @t317 () (tptp.c_Finite__Set_Ofinite @t25 @t5)) % 0.45/0.87 (define @t318 () (tptp.c_Set_Oinsert @t22 @t35 @t5)) % 0.45/0.87 (define @t319 () (@list @t13 @t22 @t35 @t5)) % 0.45/0.87 (define @t320 () (= @t13 @t35)) % 0.45/0.87 (define @t321 () (tptp.c_Fun_Ofun__upd @t23 @t6 @t19 @t1 @t5)) % 0.45/0.87 (define @t322 () (tptp.c_Set_Oimage @t321 @t13 @t1 @t5)) % 0.45/0.87 (define @t323 () (@list @t23 @t6 @t19 @t1 @t5 @t13)) % 0.45/0.87 (define @t324 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t35 @t125)) % 0.45/0.87 (define @t325 () (@list @t6 @t13 @t1 @t23 @t5)) % 0.45/0.87 (define @t326 () (@var "V_h" $$unsorted)) % 0.45/0.87 (define @t327 () (@var "T_aa" $$unsorted)) % 0.45/0.87 (define @t328 () (tptp.hBOOL (tptp.c_in @t163 @t181 @t5))) % 0.45/0.87 (define @t329 () (@list @t23 @t6 @t13 @t5 @t1)) % 0.45/0.87 (define @t330 () (tptp.c_Map_Odom @t23 @t1 @t5)) % 0.45/0.87 (define @t331 () (= @t6 @t19)) % 0.45/0.87 (define @t332 () (tptp.c_Option_Ooption_OSome @t19 @t1)) % 0.45/0.87 (define @t333 () (@var "V_n" $$unsorted)) % 0.45/0.87 (define @t334 () (tptp.tc_Option_Ooption @t5)) % 0.45/0.87 (define @t335 () (tptp.c_Option_Ooption_OSome @t204 @t5)) % 0.45/0.87 (define @t336 () (not (= @t335 @t89))) % 0.45/0.87 (define @t337 () (forall (@list @t204 @t5) @t336)) % 0.45/0.87 (define @t338 () (@var "V_a_H" $$unsorted)) % 0.45/0.87 (define @t339 () (tptp.c_Option_Ooption_OSome @t338 @t5)) % 0.45/0.87 (define @t340 () (tptp.c_Option_Ooption_OSome @t19 @t5)) % 0.45/0.87 (define @t341 () (tptp.c_Option_Ooption_OSome @t57 @t5)) % 0.45/0.87 (define @t342 () (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t22 @t341 @t1 @t334) @t6) @t340)) % 0.45/0.87 (define @t343 () (= @t6 @t22)) % 0.45/0.87 (define @t344 () (= @t16 @t340)) % 0.45/0.87 (define @t345 () (= @t57 @t19)) % 0.45/0.87 (define @t346 () (not @t342)) % 0.45/0.87 (define @t347 () (@list @t8 @t22 @t57 @t5 @t1 @t6 @t19)) % 0.45/0.87 (define @t348 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t82)) % 0.45/0.87 (define @t349 () (@list @t82)) % 0.45/0.87 (define @t350 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t228)) % 0.45/0.87 (define @t351 () (@var "V_ts_H" $$unsorted)) % 0.45/0.87 (define @t352 () (tptp.tc_Hoare__Mirabelle_Otriple @t5)) % 0.45/0.87 (define @t353 () (tptp.tc_fun @t352 tptp.tc_bool)) % 0.45/0.87 (define @t354 () (@var "V_ts" $$unsorted)) % 0.45/0.87 (define @t355 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t354 @t5)) % 0.45/0.87 (define @t356 () (@var "V_G_H" $$unsorted)) % 0.45/0.87 (define @t357 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t356 @t354 @t5))) % 0.45/0.87 (define @t358 () (@list @t263 @t354 @t5 @t356)) % 0.45/0.87 (define @t359 () (not @t355)) % 0.45/0.87 (define @t360 () (@list @t263 @t354 @t5)) % 0.45/0.87 (define @t361 () (not (tptp.c_lessequals @t35 @t13 @t26))) % 0.45/0.87 (define @t362 () (tptp.hAPP @t156 @t183)) % 0.45/0.87 (define @t363 () (@var "V_u" $$unsorted)) % 0.45/0.87 (define @t364 () (tptp.c_lessequals @t6 @t19 @t5)) % 0.45/0.87 (define @t365 () (not @t364)) % 0.45/0.87 (define @t366 () (= @t43 @t19)) % 0.45/0.87 (define @t367 () (= @t38 @t35)) % 0.45/0.87 (define @t368 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t184) @t183) @t182))) % 0.45/0.87 (define @t369 () (tptp.c_Com_Ocom_OAss @t83 @t79)) % 0.45/0.87 (define @t370 () (@list @t83 @t79)) % 0.45/0.87 (define @t371 () (@var "V_fun1_H" $$unsorted)) % 0.45/0.87 (define @t372 () (@var "V_fun1" $$unsorted)) % 0.45/0.87 (define @t373 () (@var "V_fun2_H" $$unsorted)) % 0.45/0.87 (define @t374 () (@var "V_fun2" $$unsorted)) % 0.45/0.87 (define @t375 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t372 @t101 @t374 @t5) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t371 @t143 @t373 @t5)))) % 0.45/0.87 (define @t376 () (@list @t372 @t101 @t374 @t5 @t371 @t143 @t373)) % 0.45/0.87 (define @t377 () (@list @t5 @t13 @t6)) % 0.45/0.87 (define @t378 () (= @t27 @t269)) % 0.45/0.87 (define @t379 () (not (= @t87 @t369))) % 0.45/0.87 (define @t380 () (@list @t86 @t85 @t83 @t79)) % 0.45/0.87 (define @t381 () (@list @t78 @t77)) % 0.45/0.87 (define @t382 () (not (= @t103 @t250))) % 0.45/0.87 (define @t383 () (@list @t102 @t85 @t101 @t249 @t79 @t143)) % 0.45/0.87 (define @t384 () (tptp.c_Option_Oset @t218 @t5)) % 0.45/0.87 (define @t385 () (tptp.c_HOL_Ominus__class_Ominus @t13 @t318 @t26)) % 0.45/0.87 (define @t386 () (tptp.c_Finite__Set_Ofinite @t385 @t5)) % 0.45/0.87 (define @t387 () (@list @t83 @t82 @t79)) % 0.45/0.87 (define @t388 () (not @t72)) % 0.45/0.87 (define @t389 () (@list @t5 @t6 @t40 @t19)) % 0.45/0.87 (define @t390 () (tptp.c_lessequals @t6 @t59 @t5)) % 0.45/0.87 (define @t391 () (@list @t5 @t6 @t22 @t57)) % 0.45/0.87 (define @t392 () (not @t60)) % 0.45/0.87 (define @t393 () (not @t53)) % 0.45/0.87 (define @t394 () (@list @t13 @t34 @t5 @t35)) % 0.45/0.87 (define @t395 () (tptp.c_Finite__Set_Olinorder__class_OMax @t13 @t5)) % 0.45/0.87 (define @t396 () (not (tptp.class_Orderings_Opreorder @t5))) % 0.45/0.87 (define @t397 () (not (tptp.c_lessequals @t91 @t209 @t26))) % 0.45/0.87 (define @t398 () (tptp.hBOOL (tptp.hAPP @t209 @t6))) % 0.45/0.87 (define @t399 () (@list @t209 @t6 @t91 @t5)) % 0.45/0.87 (define @t400 () (tptp.c_lessequals @t6 @t6 @t5)) % 0.45/0.87 (define @t401 () (= @t269 @t27)) % 0.45/0.87 (define @t402 () (tptp.c_Finite__Set_Olinorder__class_OMin @t13 @t5)) % 0.45/0.87 (define @t403 () (tptp.c_fequal @t5)) % 0.45/0.87 (define @t404 () (tptp.hAPP @t403 @t6)) % 0.45/0.87 (define @t405 () (= @t40 @t6)) % 0.45/0.87 (define @t406 () (tptp.hAPP @t23 @t40)) % 0.45/0.87 (define @t407 () (tptp.c_lessequals @t199 @t200 @t5)) % 0.45/0.87 (define @t408 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t19 @t5) @t201))) % 0.45/0.87 (define @t409 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t5))) % 0.45/0.87 (define @t410 () (@list @t5 @t6 @t19 @t200 @t199)) % 0.45/0.87 (define @t411 () (@list @t5 @t6 @t13)) % 0.45/0.87 (define @t412 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.45/0.87 (define @t413 () (@var "V_pn" $$unsorted)) % 0.45/0.87 (define @t414 () (tptp.hAPP tptp.c_Com_Obody @t413)) % 0.45/0.87 (define @t415 () (tptp.c_Option_Othe tptp.tc_Com_Ocom)) % 0.45/0.87 (define @t416 () (tptp.hAPP @t415 @t414)) % 0.45/0.87 (define @t417 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t413)) % 0.45/0.87 (define @t418 () (tptp.hAPP tptp.c_Com_Ocom_OBODY @t91)) % 0.45/0.87 (define @t419 () (tptp.hAPP tptp.c_Com_Obody @t91)) % 0.45/0.87 (define @t420 () (not (tptp.c_Com_OWT @t185))) % 0.45/0.87 (define @t421 () (tptp.c_Com_OWT @t177)) % 0.45/0.87 (define @t422 () (tptp.c_Com_OWT @t184)) % 0.45/0.87 (define @t423 () (not (tptp.c_Com_OWT @t174))) % 0.45/0.87 (define @t424 () (not @t421)) % 0.45/0.87 (define @t425 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t177 @t184)))) % 0.45/0.87 (define @t426 () (@var "V_X" $$unsorted)) % 0.45/0.87 (define @t427 () (tptp.c_Com_OWT @t95)) % 0.45/0.87 (define @t428 () (not @t427)) % 0.45/0.87 (define @t429 () (tptp.c_Com_OWT @t205)) % 0.45/0.87 (define @t430 () (@var "V_Y" $$unsorted)) % 0.45/0.87 (define @t431 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t430 @t22 @t95))) % 0.45/0.87 (define @t432 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.45/0.87 (define @t433 () (tptp.c_Orderings_Obot__class_Obot @t353)) % 0.45/0.87 (define @t434 () (@var "V_R" $$unsorted)) % 0.45/0.87 (define @t435 () (@list @t5 @t22)) % 0.45/0.87 (define @t436 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t28 @t5)) % 0.45/0.87 (define @t437 () (tptp.c_COMBK @t95 @t5 @t1)) % 0.45/0.87 (define @t438 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.45/0.87 (define @t439 () (@var "V_Procs" $$unsorted)) % 0.45/0.87 (define @t440 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT (tptp.c_COMBB @t415 tptp.c_Com_Obody (tptp.tc_Option_Ooption tptp.tc_Com_Ocom) tptp.tc_Com_Ocom tptp.tc_Com_Opname) tptp.tc_Com_Ocom @t438 tptp.tc_Com_Opname)) % 0.45/0.87 (define @t441 () (tptp.tc_fun @t438 tptp.tc_bool)) % 0.45/0.87 (define @t442 () (tptp.c_COMBB tptp.c_Hoare__Mirabelle_OMGT tptp.c_Com_Ocom_OBODY tptp.tc_Com_Ocom @t438 tptp.tc_Com_Opname)) % 0.45/0.87 (define @t443 () (tptp.c_Set_Oimage @t442 @t439 tptp.tc_Com_Opname @t438)) % 0.45/0.87 (define @t444 () (tptp.c_Com_OWT @t417)) % 0.45/0.87 (define @t445 () (tptp.c_Com_OWT @t418)) % 0.45/0.87 (define @t446 () (tptp.c_Orderings_Obot__class_Obot @t441)) % 0.45/0.87 (define @t447 () (tptp.c_Set_Oinsert @t158 @t446 @t438)) % 0.45/0.87 (define @t448 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t446 @t447 tptp.tc_Com_Ostate)) % 0.45/0.87 (define @t449 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 @t95 @t209 tptp.tc_Com_Ostate) @t446 @t438)) % 0.45/0.87 (define @t450 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 @t416 @t209 @t5) @t433 @t352)) % 0.45/0.87 (define @t451 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 @t417 @t209 @t5)) % 0.45/0.87 (define @t452 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert @t451 @t433 @t352) @t5)) % 0.45/0.87 (define @t453 () (@list @t263 @t91 @t413 @t209 @t5)) % 0.45/0.87 (define @t454 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.45/0.87 (define @t455 () (= @t13 @t213)) % 0.45/0.87 (define @t456 () (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)) % 0.45/0.87 (define @t457 () (forall (@list @t413) (or @t444 (= @t414 @t456)))) % 0.45/0.87 (define @t458 () (not tptp.c_Com_OWT__bodies)) % 0.45/0.87 (define @t459 () (tptp.c_Set_Oimage @t442 @t454 tptp.tc_Com_Opname @t438)) % 0.45/0.87 (define @t460 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t263)) % 0.45/0.87 (define @t461 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t447 tptp.tc_Com_Ostate)) % 0.45/0.87 (define @t462 () (@list @t263 @t95)) % 0.45/0.87 (define @t463 () (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t417)) % 0.45/0.87 (define @t464 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert @t182 @t433 @t352) @t5)) % 0.45/0.87 (define @t465 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert @t182 @t354 @t352) @t5)) % 0.45/0.87 (define @t466 () (not @t465)) % 0.45/0.87 (define @t467 () (or @t448 @t428 @t458 @t432)) % 0.45/0.87 (define @t468 () (forall @t159 @t467)) % 0.45/0.87 (define @t469 () (= @t57 @t267)) % 0.45/0.87 (define @t470 () (= @t57 @t95)) % 0.45/0.87 (define @t471 () (not (= @t309 (tptp.c_Set_Oinsert @t95 (tptp.c_Set_Oinsert @t267 @t27 @t5) @t5)))) % 0.45/0.87 (define @t472 () (@list @t22 @t57 @t5 @t95 @t267)) % 0.45/0.87 (define @t473 () (= @t22 @t267)) % 0.45/0.87 (define @t474 () (tptp.c_Set_Oinsert @t19 @t13 @t5)) % 0.45/0.87 (define @t475 () (tptp.hBOOL (tptp.hAPP @t474 @t6))) % 0.45/0.87 (define @t476 () (tptp.c_Set_Oimage @t23 @t213 @t1 @t5)) % 0.45/0.87 (define @t477 () (tptp.c_Option_Ooption_OSome tptp.v_y tptp.tc_Com_Ocom)) % 0.45/0.87 (define @t478 () (tptp.hAPP tptp.c_Com_Obody tptp.v_pn)) % 0.45/0.87 (define @t479 () (= @t478 @t477)) % 0.45/0.87 (define @t480 () (tptp.hAPP tptp.c_Com_Ocom_OBODY tptp.v_pn)) % 0.45/0.87 (define @t481 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t446 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t480) @t446 @t438) tptp.tc_Com_Ostate)) % 0.45/0.87 (define @t482 () (@var "T_1" $$unsorted)) % 0.45/0.87 (define @t483 () (@var "T_2" $$unsorted)) % 0.45/0.87 (define @t484 () (tptp.tc_fun @t483 @t482)) % 0.45/0.87 (define @t485 () (@list @t483 @t482)) % 0.45/0.87 (define @t486 () (not (tptp.class_Lattices_Olattice @t482))) % 0.45/0.87 (define @t487 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t482))) % 0.45/0.87 (define @t488 () (tptp.c_Com_OWT @t480)) % 0.45/0.87 (define @t489 () (or @t488 (= @t478 @t456))) % 0.45/0.87 (define @t490 () (= @t456 @t478)) % 0.45/0.87 (define @t491 () (or @t488 @t490)) % 0.45/0.87 (define @t492 () (or @t448 @t428)) % 0.45/0.87 (define @t493 () (forall @t159 @t492)) % 0.45/0.87 (define @t494 () (or @t458 @t432 @t492)) % 0.45/0.87 (define @t495 () (not @t488)) % 0.45/0.87 (define @t496 () (or @t481 @t495)) % 0.45/0.87 (define @t497 () (@list true false)) % 0.45/0.87 (define @t498 () (not @t490)) % 0.45/0.87 (define @t499 () (= @t456 @t477)) % 0.45/0.87 (define @t500 () (not @t479)) % 0.45/0.87 (define @t501 () (not @t499)) % 0.45/0.87 (define @t502 () (and @t479 @t501)) % 0.45/0.87 (assume @p1 (forall (@list @t1 @t3) (= (tptp.hAPP (tptp.c_Map_Orestrict__map (tptp.c_COMBK @t2 @t4 tptp.t_a) @t3 tptp.t_a @t1) tptp.v_x) @t2))) % 0.45/0.87 (assume @p2 (forall @t11 (or (= @t10 @t9) @t7))) % 0.45/0.87 (assume @p3 (forall (@list @t8 @t1) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t8 @t12 tptp.t_a @t1) tptp.v_x) @t2))) % 0.45/0.87 (assume @p4 (forall @t18 (or (= @t17 @t16) @t15))) % 0.45/0.87 (assume @p5 (forall @t18 (or (= @t17 @t2) @t14))) % 0.45/0.87 (assume @p6 (forall @t21 (or (= @t20 @t9) @t7))) % 0.45/0.87 (assume @p7 (forall (@list @t23 @t22 @t13 @t5 @t1) (= (tptp.c_Map_Orestrict__map @t23 @t25 @t5 @t1) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Orestrict__map @t23 @t13 @t5 @t1) @t22 @t24 @t5 @t4)))) % 0.45/0.87 (assume @p8 (forall @t32 @t31)) % 0.45/0.87 (assume @p9 (forall @t32 (or @t31 @t33))) % 0.45/0.87 (assume @p10 (forall @t21 (or (= @t20 @t30) @t33))) % 0.45/0.87 (assume @p11 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t34 @t26) @t37))) % 0.45/0.87 (assume @p12 (forall @t46 (or @t45 @t44))) % 0.45/0.87 (assume @p13 (forall @t46 (or @t45 @t47))) % 0.45/0.87 (assume @p14 (forall @t46 (or @t48 @t47))) % 0.45/0.87 (assume @p15 (forall @t46 (or @t48 @t44))) % 0.45/0.87 (assume @p16 (forall @t39 (or @t53 @t52 @t50))) % 0.45/0.87 (assume @p17 (forall @t54 (tptp.c_lessequals @t35 @t38 @t26))) % 0.45/0.87 (assume @p18 (forall @t55 (tptp.c_lessequals @t13 @t38 @t26))) % 0.45/0.87 (assume @p19 (forall (@list @t5 @t22 @t57 @t6) (or @t45 @t60 (not @t58) (not @t56)))) % 0.45/0.87 (assume @p20 (forall @t62 (or @t45 @t61))) % 0.45/0.87 (assume @p21 (forall @t64 (or @t45 @t63))) % 0.45/0.87 (assume @p22 (forall @t68 (or @t45 (tptp.c_lessequals @t41 @t6 @t5) (not @t67) @t66))) % 0.45/0.87 (assume @p23 (forall @t46 (or @t45 @t72 @t71 (not @t69)))) % 0.45/0.87 (assume @p24 (forall @t64 (or @t48 @t63))) % 0.45/0.87 (assume @p25 (forall @t62 (or @t48 @t61))) % 0.45/0.87 (assume @p26 (forall @t55 (or (= @t76 @t35) @t74))) % 0.45/0.87 (assume @p27 (forall @t81 (not (= tptp.c_Com_Ocom_OSKIP @t80)))) % 0.45/0.87 (assume @p28 (forall (@list @t86 @t85 @t83 @t82 @t79) (not (= @t87 @t84)))) % 0.45/0.87 (assume @p29 (forall @t55 (tptp.c_lessequals @t88 @t13 @t26))) % 0.45/0.87 (assume @p30 (forall @t90 (= (tptp.c_Option_Oset @t89 @t5) @t27))) % 0.45/0.87 (assume @p31 (forall (@list @t22 @t91 @t5) (or @t94 (not @t92)))) % 0.45/0.87 (assume @p32 (forall (@list @t91 @t22 @t5) (or @t92 (not @t94)))) % 0.45/0.87 (assume @p33 (forall @t100 (or @t99 @t98 @t97))) % 0.45/0.87 (assume @p34 (forall (@list @t83 @t82 @t79 @t102 @t85 @t101) (not (= @t84 @t103)))) % 0.45/0.87 (assume @p35 (forall @t108 (or @t107 @t106))) % 0.45/0.87 (assume @p36 (forall (@list @t1 @t13 @t110 @t5) (or @t111 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 (tptp.c_COMBK @t110 @t1 @t5) @t5 @t1) @t110) @t109))) % 0.45/0.87 (assume @p37 (forall (@list @t83 @t82 @t79 @t85 @t101) (not (= @t84 @t112)))) % 0.45/0.87 (assume @p38 (forall @t115 (or @t114 @t74 @t14))) % 0.45/0.87 (assume @p39 (forall @t117 (or @t73 @t14 @t116))) % 0.45/0.87 (assume @p40 (forall @t117 (or @t73 @t116 @t14))) % 0.45/0.87 (assume @p41 (forall (@list @t57 @t13 @t35 @t1 @t5 @t6) (or (tptp.hBOOL (tptp.c_in @t57 @t121 @t5)) (not (tptp.hBOOL (tptp.c_in @t57 @t120 @t5))) @t119))) % 0.45/0.87 (assume @p42 (forall (@list @t57 @t13 @t35 @t5 @t1 @t22) (or (tptp.hBOOL (tptp.c_in @t57 @t126 @t1)) (not (tptp.hBOOL (tptp.c_in @t57 @t124 @t1))) @t123))) % 0.45/0.87 (assume @p43 (forall @t54 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t13 @t26) @t127))) % 0.45/0.87 (assume @p44 (forall @t55 (= @t76 @t38))) % 0.45/0.87 (assume @p45 (forall (@list @t1 @t13 @t35) (or (not (tptp.class_HOL_Ominus @t1)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t13 @t35 @t128) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t13 tptp.v_x) (tptp.hAPP @t35 tptp.v_x) @t1))))) % 0.45/0.87 (assume @p46 (forall @t39 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t34 @t26) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_HOL_Ominus__class_Ominus @t13 @t34 @t26) (tptp.c_HOL_Ominus__class_Ominus @t35 @t34 @t26) @t26)))) % 0.45/0.87 (assume @p47 (forall (@list @t102 @t85 @t101 @t78 @t77) (not (= @t103 @t129)))) % 0.45/0.87 (assume @p48 (forall (@list @t135 @t137 @t13 @t6 @t5 @t136 @t134 @t133 @t132 @t131 @t130) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t135 @t139) @t6)) @t15 @t138))) % 0.45/0.87 (assume @p49 (forall (@list @t135 @t6 @t136 @t13 @t5 @t137 @t134 @t133 @t132 @t131 @t130) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t135 @t6) @t140)) @t15 @t138))) % 0.45/0.87 (assume @p50 (forall @t55 (= @t38 @t127))) % 0.45/0.87 (assume @p51 (forall @t62 (or @t45 @t141))) % 0.45/0.87 (assume @p52 (forall @t62 (or @t48 @t141))) % 0.45/0.87 (assume @p53 (forall @t146 (or @t145 @t142))) % 0.45/0.87 (assume @p54 (forall @t146 (or @t145 @t147))) % 0.45/0.87 (assume @p55 (forall @t55 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t38 @t26) @t38))) % 0.45/0.87 (assume @p56 (forall @t62 (or @t45 @t148))) % 0.45/0.87 (assume @p57 (forall @t62 (or @t48 @t148))) % 0.45/0.87 (assume @p58 (forall @t81 (not (= @t80 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p59 (forall (@list @t13 @t35 @t5 @t1 @t57 @t6) (or @t149 (not (tptp.hBOOL (tptp.hAPP @t120 @t57))) @t15))) % 0.45/0.87 (assume @p60 (forall (@list @t13 @t35 @t5 @t1 @t57 @t22) (or @t149 (not (tptp.hBOOL (tptp.hAPP @t124 @t57))) @t123))) % 0.45/0.87 (assume @p61 (forall (@list @t79 @t143 @t85 @t151 @t150) (not (= @t144 @t152)))) % 0.45/0.87 (assume @p62 (forall @t155 (or @t154 @t153))) % 0.45/0.87 (assume @p63 (forall @t159 (= @t158 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t157 @t95 @t156 tptp.tc_Com_Ostate)))) % 0.45/0.87 (assume @p64 (forall (@list @t151 @t150 @t83 @t82 @t79) (not (= @t160 @t84)))) % 0.45/0.87 (assume @p65 (forall (@list @t79 @t78 @t77 @t86 @t85) (not (= @t80 @t87)))) % 0.45/0.87 (assume @p66 (forall @t162 (or (= @t161 (tptp.c_Set_Oinsert @t6 @t88 @t5)) @t107))) % 0.45/0.87 (assume @p67 (forall @t165 (or (not (= @t164 @t23)) (= @t163 @t19)))) % 0.45/0.87 (assume @p68 (forall @t90 (or @t168 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t167 @t5) @t166)))) % 0.45/0.87 (assume @p69 (forall (@list @t23 @t5 @t1 @t6) (or (not (= @t170 @t28)) (= @t23 (tptp.c_Fun_Ofun__upd @t169 @t6 (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__Xdom__eq__singleton__conv__1__1 @t23 @t6 @t5 @t1) @t1) @t5 @t4))))) % 0.45/0.87 (assume @p70 (forall @t11 (or (= @t10 @t29) @t33))) % 0.45/0.87 (assume @p71 (forall @t171 (= @t37 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t34 @t26) @t26)))) % 0.45/0.87 (assume @p72 (forall (@list @t174 @t177 @t173 @t176 @t172) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t179) @t173) @t176)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t178 @t172) @t176))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t175 @t173) @t172)))))) % 0.45/0.87 (assume @p73 (forall (@list @t23 @t13 @t1 @t5 @t35) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t181 @t180 @t26) (tptp.c_Set_Oimage @t23 (tptp.c_HOL_Ominus__class_Ominus @t13 @t35 @t125) @t1 @t5) @t26))) % 0.45/0.87 (assume @p74 (forall (@list @t57 @t183 @t177 @t182 @t184) (or @t190 @t188 @t186))) % 0.45/0.87 (assume @p75 (forall @t193 (or @t192 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t175 @t183) @t172))) @t190))) % 0.45/0.87 (assume @p76 (forall (@list @t5 @t110 @t194) (or @t198 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t110 @t5) (tptp.c_Finite__Set_Olinorder__class_OMax @t194 @t5) @t5) @t197 @t196 @t195))) % 0.45/0.87 (assume @p77 (forall (@list @t5 @t6 @t200 @t199) (or @t203 (not (= @t202 @t201)) (= @t200 @t199)))) % 0.45/0.87 (assume @p78 (forall (@list @t5 @t204 @t19 @t6) (or @t203 (not (= (tptp.c_HOL_Ominus__class_Ominus @t204 @t19 @t5) @t202)) (= @t204 @t19)))) % 0.45/0.87 (assume @p79 (forall (@list @t57 @t95 @t173 @t176 @t172) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t206 @t173) @t176)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t206 @t172) @t176))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t156 @t173) @t172))) (not (tptp.hBOOL (tptp.hAPP @t57 @t173)))))) % 0.45/0.87 (assume @p80 (forall @t208 (tptp.hBOOL (tptp.c_in @t163 (tptp.c_Set_Oimage @t23 @t207 @t1 @t5) @t5)))) % 0.45/0.87 (assume @p81 (forall @t55 (= (tptp.c_HOL_Ominus__class_Ominus @t88 @t35 @t26) @t88))) % 0.45/0.87 (assume @p82 (forall (@list @t91 @t5 @t1 @t209) (= (tptp.hAPP (tptp.c_COMBK @t91 @t5 @t1) @t209) @t91))) % 0.45/0.87 (assume @p83 (forall (@list @t210 @t6 @t5) (or @t212 (not @t211)))) % 0.45/0.87 (assume @p84 (forall (@list @t6 @t210 @t5) (or @t211 (not @t212)))) % 0.45/0.87 (assume @p85 (forall @t215 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t214 @t26) @t13))) % 0.45/0.87 (assume @p86 (forall (@list @t83 @t82 @t79 @t151 @t150) (not (= @t84 @t160)))) % 0.45/0.87 (assume @p87 (forall (@list @t216 @t6 @t5) (or (= @t216 @t218) (not (tptp.hBOOL (tptp.c_in @t6 @t217 @t5)))))) % 0.45/0.87 (assume @p88 (forall @t219 (or @t45 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t6 @t5) @t6)))) % 0.45/0.87 (assume @p89 (forall @t220 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t13 @t26) @t13))) % 0.45/0.87 (assume @p90 (forall (@list @t1 @t23 @t221) (or (not (tptp.class_Lattices_Olattice @t1)) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t221 @t128) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t23 tptp.v_x) (tptp.hAPP @t221 tptp.v_x) @t1))))) % 0.45/0.87 (assume @p91 (forall (@list @t23 @t6 @t35 @t5 @t13 @t1) (or (tptp.hBOOL (tptp.c_in @t163 @t35 @t5)) @t119 (not (tptp.c_lessequals @t181 @t35 @t26))))) % 0.45/0.87 (assume @p92 (forall (@list @t35 @t1 @t23 @t13 @t5) (or (tptp.c_Finite__Set_Ofinite @t35 @t1) (not (tptp.c_lessequals @t35 @t223 @t125)) @t222))) % 0.45/0.87 (assume @p93 (forall (@list @t13 @t6 @t5 @t35) (or @t224 @t15 @t116))) % 0.45/0.87 (assume @p94 (forall @t115 (or @t114 @t15 @t225))) % 0.45/0.87 (assume @p95 (forall (@list @t23 @t13 @t5) (= (tptp.c_Finite__Set_Ofold1 @t23 @t13 @t5) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t23 @t13 @t5) @t5)))) % 0.45/0.87 (assume @p96 (forall (@list @t85 @t151 @t150 @t83 @t82 @t79) (not (= @t152 @t84)))) % 0.45/0.87 (assume @p97 (forall (@list @t1 @t110 @t226 @t13 @t5) (or @t111 (tptp.c_lessequals (tptp.hAPP @t110 @t226) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t110 @t5 @t1) @t1) (not (tptp.hBOOL (tptp.c_in @t226 @t13 @t5)))))) % 0.45/0.87 (assume @p98 (forall (@list @t35 @t22 @t13 @t5 @t1) (or (tptp.c_lessequals @t124 @t126 @t125) @t123))) % 0.45/0.87 (assume @p99 (forall @t162 (or (= @t161 @t88) @t227))) % 0.45/0.87 (assume @p100 (forall (@list @t102 @t85 @t101 @t79 @t78 @t77) (not (= @t103 @t80)))) % 0.45/0.87 (assume @p101 (forall (@list @t86 @t85 @t78 @t77) (not (= @t87 @t129)))) % 0.45/0.87 (assume @p102 (forall @t230 (or @t229 @t142))) % 0.45/0.87 (assume @p103 (forall @t230 (or @t229 @t231))) % 0.45/0.87 (assume @p104 (forall @t230 (or @t229 @t232))) % 0.45/0.87 (assume @p105 (forall (@list @t136 @t5 @t130 @t137 @t135 @t134 @t133 @t132 @t131) (or (= (tptp.hAPP @t136 @t167) @t130) @t138))) % 0.45/0.87 (assume @p106 (forall (@list @t137 @t5 @t131 @t136 @t135 @t134 @t133 @t132 @t130) (or (= (tptp.hAPP @t137 @t167) @t131) @t138))) % 0.45/0.87 (assume @p107 (forall @t233 (not (= @t144 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p108 (forall @t55 (or @t234 @t222))) % 0.45/0.87 (assume @p109 (forall (@list @t79 @t143 @t102 @t85 @t101) (not (= @t144 @t103)))) % 0.45/0.87 (assume @p110 (forall (@list @t57 @t95 @t183) (or (tptp.hBOOL (tptp.hAPP @t235 @t183)) @t189))) % 0.45/0.87 (assume @p111 (forall (@list @t91 @t5) (= @t93 @t91))) % 0.45/0.87 (assume @p112 (forall @t238 (or @t237 @t236))) % 0.45/0.87 (assume @p113 (forall @t238 (or @t237 @t239))) % 0.45/0.87 (assume @p114 (forall (@list @t151 @t150 @t79 @t143) (not (= @t160 @t144)))) % 0.45/0.87 (assume @p115 (forall @t241 (or @t168 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t25 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t240 @t5))))) % 0.45/0.87 (assume @p116 (forall @t219 (or @t242 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t166 @t5) @t166)))) % 0.45/0.87 (assume @p117 (forall @t219 (or @t242 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t166 @t6 @t5) @t166)))) % 0.45/0.87 (assume @p118 (forall @t243 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t167 @t35 @t26) @t167))) % 0.45/0.87 (assume @p119 (forall @t220 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t167 @t26) @t167))) % 0.45/0.87 (assume @p120 (forall (@list @t151 @t150 @t79 @t78 @t77) (not (= @t160 @t80)))) % 0.45/0.87 (assume @p121 (forall @t246 (or @t153 @t245 @t244))) % 0.45/0.87 (assume @p122 (forall @t55 (or @t234 @t222 @t244))) % 0.45/0.87 (assume @p123 (forall (@list @t78 @t77 @t102 @t85 @t101) (not (= @t129 @t103)))) % 0.45/0.87 (assume @p124 (forall (@list @t182 @t248 @t6 @t1 @t5) (not (= (tptp.c_Fun_Ofun__upd @t182 @t248 @t247 @t5 @t4) @t169)))) % 0.45/0.87 (assume @p125 (forall (@list @t35 @t6 @t1 @t13 @t5) (or (tptp.c_Finite__Set_Ofinite @t120 @t1) @t15 (not (tptp.c_Finite__Set_Ofinite @t126 @t1)) @t222))) % 0.45/0.87 (assume @p126 (forall (@list @t249 @t79 @t143 @t86 @t85) (not (= @t250 @t87)))) % 0.45/0.87 (assume @p127 (forall (@list @t13 @t35 @t1 @t5 @t6) (or (not (= @t121 @t27)) @t251 @t119))) % 0.45/0.87 (assume @p128 (forall (@list @t85 @t151 @t150 @t79 @t143) (not (= @t152 @t144)))) % 0.45/0.87 (assume @p129 (forall (@list @t95 @t13 @t5 @t35) (or @t96 @t252))) % 0.45/0.87 (assume @p130 (forall (@list @t79 @t78 @t77 @t102 @t85 @t101) (not (= @t80 @t103)))) % 0.45/0.87 (assume @p131 (forall @t254 (or @t253 @t252))) % 0.45/0.87 (assume @p132 (forall (@list @t13 @t6 @t35 @t5 @t255 @t1) (or (tptp.c_lessequals @t256 @t35 @t26) (not (tptp.hBOOL (tptp.c_in @t6 @t255 @t1))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t255 @t13 @t1 @t26) @t35 @t26))))) % 0.45/0.87 (assume @p133 (forall (@list @t79 @t78 @t77 @t151 @t150) (not (= @t80 @t160)))) % 0.45/0.87 (assume @p134 (forall (@list @t13 @t248 @t255 @t5 @t1) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t13 @t248) @t257 @t125) @t257) (not (tptp.hBOOL (tptp.c_in @t248 @t255 @t5)))))) % 0.45/0.87 (assume @p135 (forall @t259 (or @t258 @t236))) % 0.45/0.87 (assume @p136 (forall @t259 (or @t258 @t239))) % 0.45/0.87 (assume @p137 (forall @t259 (or @t258 @t142))) % 0.45/0.87 (assume @p138 (forall (@list @t260 @t263 @t5) (or @t265 (not @t264) @t262))) % 0.45/0.87 (assume @p139 (forall @t272 (or @t271 @t270 (not @t268) (not @t266)))) % 0.45/0.87 (assume @p140 (forall (@list @t5 @t57 @t267 @t22 @t95) (or @t271 @t268 @t275 @t273))) % 0.45/0.87 (assume @p141 (forall (@list @t5 @t95 @t22 @t57 @t267) (or @t271 @t266 @t275 @t273))) % 0.45/0.87 (assume @p142 (forall @t276 (tptp.hBOOL (tptp.c_in @t6 @t167 @t5)))) % 0.45/0.87 (assume @p143 (forall (@list @t83 @t82 @t79 @t85 @t151 @t150) (not (= @t84 @t152)))) % 0.45/0.87 (assume @p144 (forall (@list @t86 @t85 @t79 @t143) (not (= @t87 @t144)))) % 0.45/0.87 (assume @p145 (forall @t272 (or @t271 @t270 @t274))) % 0.45/0.87 (assume @p146 (forall (@list @t86 @t85 @t249 @t79 @t143) (not (= @t87 @t250)))) % 0.45/0.87 (assume @p147 (forall (@list @t8 @t22 @t57 @t5 @t1 @t95 @t267) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t8 @t22 @t57 @t5 @t1) @t95 @t267 @t5 @t1) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t8 @t95 @t267 @t5 @t1) @t22 @t57 @t5 @t1)) @t277))) % 0.45/0.87 (assume @p148 (forall (@list @t35 @t6 @t13 @t5) (or @t280 @t279 (not @t278)))) % 0.45/0.87 (assume @p149 (forall @t117 (or @t278 (not @t280)))) % 0.45/0.87 (assume @p150 (forall @t117 (or @t278 @t281))) % 0.45/0.87 (assume @p151 (forall @t254 (or @t98 @t96 (not @t282)))) % 0.45/0.87 (assume @p152 (forall (@list @t102 @t85 @t101 @t79 @t143) (not (= @t103 @t144)))) % 0.45/0.87 (assume @p153 (forall (@list @t5 @t13 @t35 @t1 @t6) (or (not (= @t27 @t121)) @t251 @t119))) % 0.45/0.87 (assume @p154 (forall (@list @t8 @t22 @t1 @t5) (or (not @t285) (not @t283)))) % 0.45/0.87 (assume @p155 (forall (@list @t22 @t8 @t5 @t1) (or @t283 @t285))) % 0.45/0.87 (assume @p156 (forall (@list @t260 @t5 @t263) (or @t261 @t286))) % 0.45/0.87 (assume @p157 (forall (@list @t263 @t5 @t260) (or @t264 @t286))) % 0.45/0.87 (assume @p158 (forall (@list @t1 @t13 @t5 @t35) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t213 @t13 @t1 @t26) @t35 @t26) @t35))) % 0.45/0.87 (assume @p159 (forall @t215 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t214 @t26) @t13))) % 0.45/0.87 (assume @p160 (forall (@list @t86 @t85 @t79 @t78 @t77) (not (= @t87 @t80)))) % 0.45/0.87 (assume @p161 (forall @t233 (not (= tptp.c_Com_Ocom_OSKIP @t144)))) % 0.45/0.87 (assume @p162 (forall @t287 (not (= tptp.c_Com_Ocom_OSKIP @t250)))) % 0.45/0.87 (assume @p163 (forall @t288 (= (tptp.c_Fun_Ofun__upd @t164 @t6 @t40 @t5 @t1) (tptp.c_Fun_Ofun__upd @t23 @t6 @t40 @t5 @t1)))) % 0.45/0.87 (assume @p164 (forall @t289 (or (tptp.c_lessequals @t88 (tptp.c_HOL_Ominus__class_Ominus @t34 @t3 @t26) @t26) (not (tptp.c_lessequals @t3 @t35 @t26)) @t50))) % 0.45/0.87 (assume @p165 (forall @t90 (or @t168 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t167 @t5) @t290)))) % 0.45/0.87 (assume @p166 (forall @t219 (tptp.hBOOL (tptp.hAPP @t167 @t6)))) % 0.45/0.87 (assume @p167 (forall @t291 (or (not (tptp.class_Orderings_Otop @t1)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t128) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t1))))) % 0.45/0.87 (assume @p168 (forall (@list @t216 @t5) (or (not (= @t217 @t27)) (= @t216 @t89)))) % 0.45/0.87 (assume @p169 (forall @t39 (or @t293 (not @t292)))) % 0.45/0.87 (assume @p170 (forall @t171 (or @t292 (not @t293)))) % 0.45/0.87 (assume @p171 (forall (@list @t182 @t183) (or @t295 (not (tptp.hBOOL (tptp.hAPP @t294 @t182)))))) % 0.45/0.87 (assume @p172 (forall (@list @t1 @t23 @t6 @t221 @t5) (or (not (tptp.class_HOL_Oord @t1)) (tptp.c_lessequals @t163 (tptp.hAPP @t221 @t6) @t1) (not (tptp.c_lessequals @t23 @t221 (tptp.tc_fun @t5 @t1)))))) % 0.45/0.87 (assume @p173 (forall @t219 (or @t242 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t290 @t6 @t5) @t6)))) % 0.45/0.87 (assume @p174 (forall @t219 (or @t242 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t290 @t5) @t6)))) % 0.45/0.87 (assume @p175 (forall @t219 (or (not (tptp.class_Orderings_Obot @t5)) (tptp.c_lessequals @t290 @t6 @t5)))) % 0.45/0.87 (assume @p176 (forall @t297 (or @t242 @t296 (= @t13 @t290)))) % 0.45/0.87 (assume @p177 (forall @t297 (or @t242 @t296 (= @t35 @t290)))) % 0.45/0.87 (assume @p178 (forall @t90 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t27 @t26) @t27))) % 0.45/0.87 (assume @p179 (forall (@list @t137 @t5 @t130 @t136 @t135 @t134 @t133 @t132 @t131) (or (= (tptp.hAPP @t137 @t27) @t130) @t138))) % 0.45/0.87 (assume @p180 (forall (@list @t136 @t5 @t131 @t137 @t135 @t134 @t133 @t132 @t130) (or (= (tptp.hAPP @t136 @t27) @t131) @t138))) % 0.45/0.87 (assume @p181 (forall (@list @t5 @t91 @t6) (or (not (= @t27 @t93)) @t299))) % 0.45/0.87 (assume @p182 (forall @t276 @t300)) % 0.45/0.87 (assume @p183 (forall @t301 (or @t298 @t300))) % 0.45/0.87 (assume @p184 (forall (@list @t95 @t5) (not (tptp.hBOOL (tptp.c_in @t95 @t27 @t5))))) % 0.45/0.87 (assume @p185 (forall (@list @t22 @t5) (not (tptp.hBOOL (tptp.c_in @t22 @t27 @t5))))) % 0.45/0.87 (assume @p186 (forall @t90 (tptp.c_lessequals @t27 @t27 @t26))) % 0.45/0.87 (assume @p187 (forall @t220 (or @t109 (not (tptp.c_lessequals @t13 @t27 @t26))))) % 0.45/0.87 (assume @p188 (forall (@list @t91 @t5 @t6) (or (not (= @t93 @t27)) @t299))) % 0.45/0.87 (assume @p189 (forall (@list @t23 @t5 @t6) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t23 @t27 @t5) @t6))))) % 0.45/0.87 (assume @p190 (forall @t90 (not (= @t167 @t27)))) % 0.45/0.87 (assume @p191 (forall @t155 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t13 @t26) @t27))) % 0.45/0.87 (assume @p192 (forall @t220 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t27 @t26) @t13))) % 0.45/0.87 (assume @p193 (forall @t243 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t35 @t26) @t35))) % 0.45/0.87 (assume @p194 (forall @t220 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t13 @t26) @t27))) % 0.45/0.87 (assume @p195 (forall @t220 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t27 @t26) @t13))) % 0.45/0.87 (assume @p196 (forall @t90 (tptp.c_Finite__Set_Ofinite @t27 @t5))) % 0.45/0.87 (assume @p197 (forall @t155 (tptp.c_lessequals @t27 @t13 @t26))) % 0.45/0.87 (assume @p198 (forall @t301 (or @t299 @t300))) % 0.45/0.87 (assume @p199 (forall @t55 (or @t302 (= @t35 @t27)))) % 0.45/0.87 (assume @p200 (forall @t55 (or @t302 @t109))) % 0.45/0.87 (assume @p201 (forall (@list @t23 @t221 @t5 @t303 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t23 @t221 @t5 @t303 @t1) @t207 @t1 @t303) @t303) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t221 @t207 @t1 @t5) @t5))))) % 0.45/0.87 (assume @p202 (forall @t307 (or (= @t306 @t13) @t123))) % 0.45/0.87 (assume @p203 (forall @t310 (or @t168 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t309 @t5) @t59)))) % 0.45/0.87 (assume @p204 (forall @t115 (or @t114 @t74 @t225))) % 0.45/0.87 (assume @p205 (forall @t311 (or (= (tptp.c_HOL_Ominus__class_Ominus @t104 @t28 @t26) @t13) @t14))) % 0.45/0.87 (assume @p206 (forall (@list @t22 @t34 @t5 @t3) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t22 @t34 @t5) (tptp.c_Set_Oinsert @t22 @t3 @t5) @t26) (not (tptp.c_lessequals @t34 @t3 @t26))))) % 0.45/0.87 (assume @p207 (forall (@list @t22 @t57 @t13 @t5) (or @t312 @t123))) % 0.45/0.87 (assume @p208 (forall (@list @t22 @t57 @t35 @t5) (or (tptp.hBOOL (tptp.c_in @t22 @t313 @t5)) (not (tptp.hBOOL (tptp.c_in @t22 @t35 @t5)))))) % 0.45/0.87 (assume @p209 (forall (@list @t137 @t22 @t13 @t5 @t133 @t136 @t135 @t134 @t132 @t131 @t130) (or (= (tptp.hAPP @t137 @t25) (tptp.hAPP @t314 @t139)) @t138))) % 0.45/0.87 (assume @p210 (forall (@list @t136 @t22 @t13 @t5 @t132 @t137 @t135 @t134 @t133 @t131 @t130) (or (= (tptp.hAPP @t136 @t25) (tptp.hAPP @t315 @t140)) @t138))) % 0.45/0.87 (assume @p211 (forall (@list @t22 @t13 @t5 @t57) (or @t122 @t316 (not @t312)))) % 0.45/0.87 (assume @p212 (forall @t307 (or @t317 @t222))) % 0.45/0.87 (assume @p213 (forall (@list @t13 @t5 @t22) (or @t153 (not @t317)))) % 0.45/0.87 (assume @p214 (forall (@list @t35 @t22 @t5) (tptp.c_lessequals @t35 @t318 @t26))) % 0.45/0.87 (assume @p215 (forall @t319 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t13 @t318 @t26) (tptp.c_Set_Oinsert @t22 @t38 @t5)))) % 0.45/0.87 (assume @p216 (forall (@list @t22 @t35 @t5 @t34) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t318 @t34 @t26) (tptp.c_Set_Oinsert @t22 @t36 @t5)))) % 0.45/0.87 (assume @p217 (forall (@list @t13 @t57 @t35 @t5) (or (tptp.c_lessequals @t13 @t313 @t26) @t74))) % 0.45/0.87 (assume @p218 (forall @t117 (or @t73 @t106))) % 0.45/0.87 (assume @p219 (forall @t311 (tptp.hBOOL (tptp.c_in @t6 @t104 @t5)))) % 0.45/0.87 (assume @p220 (forall (@list @t22 @t35 @t5) (tptp.hBOOL (tptp.c_in @t22 @t318 @t5)))) % 0.45/0.87 (assume @p221 (forall (@list @t6 @t35 @t5) (tptp.hBOOL (tptp.c_in @t6 @t113 @t5)))) % 0.45/0.87 (assume @p222 (forall @t162 (or (not (= @t104 @t113)) @t107 @t14 @t320))) % 0.45/0.87 (assume @p223 (forall @t307 (or (= @t25 @t13) @t123))) % 0.45/0.87 (assume @p224 (forall @t323 (or (= @t322 (tptp.c_Set_Oinsert @t19 (tptp.c_Set_Oimage @t23 (tptp.c_HOL_Ominus__class_Ominus @t13 (tptp.c_Set_Oinsert @t6 @t213 @t1) @t125) @t1 @t5) @t5)) @t119))) % 0.45/0.87 (assume @p225 (forall (@list @t23 @t13 @t35 @t1 @t5) (= (tptp.c_Set_Oimage @t23 @t324 @t1 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t181 @t180 @t26)))) % 0.45/0.87 (assume @p226 (forall @t325 (or (not (tptp.c_lessequals @t6 @t13 @t125)) (tptp.c_lessequals (tptp.c_Set_Oimage @t23 @t6 @t1 @t5) @t181 @t26)))) % 0.45/0.87 (assume @p227 (forall (@list @t23 @t13 @t5 @t1 @t35) (or (tptp.c_lessequals @t223 (tptp.c_Set_Oimage @t23 @t35 @t5 @t1) @t125) @t74))) % 0.45/0.87 (assume @p228 (forall (@list @t326 @t260 @t5 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t326 @t260 @t5 @t1) @t1) @t262))) % 0.45/0.87 (assume @p229 (forall (@list @t6 @t13 @t327 @t23 @t5) (or (not (tptp.hBOOL (tptp.c_in @t6 @t13 @t327))) (tptp.hBOOL (tptp.c_in @t163 (tptp.c_Set_Oimage @t23 @t13 @t327 @t5) @t5))))) % 0.45/0.87 (assume @p230 (forall @t325 (or @t119 @t328))) % 0.45/0.87 (assume @p231 (forall (@list @t23 @t6 @t13 @t1 @t5) (or @t328 @t119))) % 0.45/0.87 (assume @p232 (forall @t329 (or (tptp.hBOOL (tptp.c_in @t163 @t223 @t1)) @t15))) % 0.45/0.87 (assume @p233 (forall @t208 (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t23 @t6 @t2 @t5 @t4) @t5 @t1) (tptp.c_HOL_Ominus__class_Ominus @t170 @t28 @t26)))) % 0.45/0.87 (assume @p234 (forall (@list @t23 @t5 @t1) (or (not (= @t170 @t27)) (= @t23 @t169)))) % 0.45/0.87 (assume @p235 (forall (@list @t1 @t5) (= (tptp.c_Map_Odom @t169 @t5 @t1) @t27))) % 0.45/0.87 (assume @p236 (forall (@list @t23 @t6 @t5 @t1 @t13) (or (not (= @t163 @t89)) (= (tptp.c_HOL_Ominus__class_Ominus @t330 (tptp.c_Set_Oinsert @t6 @t13 @t1) @t125) (tptp.c_HOL_Ominus__class_Ominus @t330 @t13 @t125))))) % 0.45/0.87 (assume @p237 (forall @t165 (or (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t23 @t6 @t19 @t5 @t4) @t5 @t1) (tptp.c_Set_Oinsert @t6 @t170 @t5)) (= @t19 @t2)))) % 0.45/0.87 (assume @p238 (forall (@list @t8 @t22 @t6 @t1 @t5 @t333 @t19) (or (not (= (tptp.c_Fun_Ofun__upd @t8 @t22 @t247 @t5 @t4) (tptp.c_Fun_Ofun__upd @t333 @t22 @t332 @t5 @t4))) @t331))) % 0.45/0.87 (assume @p239 (forall @t219 (= (tptp.hAPP (tptp.c_Option_Othe @t5) @t218) @t6))) % 0.45/0.87 (assume @p240 (forall (@list @t182 @t248 @t6 @t5 @t1) (or (not (= (tptp.hAPP @t182 @t248) @t218)) (= (tptp.c_Fun_Ofun__upd @t182 @t248 @t218 @t1 @t334) @t182)))) % 0.45/0.87 (assume @p241 (forall (@list @t8 @t204 @t6 @t5 @t327) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t204 @t218 @t327 @t334) @t204) @t218))) % 0.45/0.87 (assume @p242 @t337) % 0.45/0.87 (assume @p243 (forall (@list @t338 @t5) (not (= @t339 @t89)))) % 0.45/0.87 (assume @p244 (forall (@list @t8 @t6 @t19 @t5 @t22 @t57 @t1) (or (not @t344) @t343 @t342))) % 0.45/0.87 (assume @p245 (forall @t347 (or @t346 @t344 @t345))) % 0.45/0.87 (assume @p246 (forall @t347 (or @t346 @t344 @t343))) % 0.45/0.87 (assume @p247 (forall (@list @t57 @t19 @t8 @t6 @t327 @t5) (or @t345 (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t8 @t6 (tptp.c_Option_Ooption_OSome @t57 @t327) @t5 (tptp.tc_Option_Ooption @t327)) @t6) (tptp.c_Option_Ooption_OSome @t19 @t327)))))) % 0.45/0.87 (assume @p248 (forall (@list @t5 @t19) (not (= @t89 @t340)))) % 0.45/0.87 (assume @p249 (forall (@list @t5 @t338) (not (= @t89 @t339)))) % 0.45/0.87 (assume @p250 (forall @t349 (not (= @t348 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p251 (forall (@list @t85 @t101 @t82) (not (= @t112 @t348)))) % 0.45/0.87 (assume @p252 (forall (@list @t82 @t85 @t151 @t150) (not (= @t348 @t152)))) % 0.45/0.87 (assume @p253 (forall (@list @t85 @t151 @t150 @t82) (not (= @t152 @t348)))) % 0.45/0.87 (assume @p254 (forall (@list @t82 @t86 @t85) (not (= @t348 @t87)))) % 0.45/0.87 (assume @p255 (forall (@list @t86 @t85 @t82) (not (= @t87 @t348)))) % 0.45/0.87 (assume @p256 (forall (@list @t82 @t102 @t85 @t101) (not (= @t348 @t103)))) % 0.45/0.87 (assume @p257 (forall (@list @t82 @t85 @t101) (not (= @t348 @t112)))) % 0.45/0.87 (assume @p258 (forall (@list @t83 @t82 @t79 @t228) (not (= @t84 @t350)))) % 0.45/0.87 (assume @p259 (forall (@list @t82 @t151 @t150) (not (= @t348 @t160)))) % 0.45/0.87 (assume @p260 (forall (@list @t151 @t150 @t82) (not (= @t160 @t348)))) % 0.45/0.87 (assume @p261 (forall (@list @t102 @t85 @t101 @t82) (not (= @t103 @t348)))) % 0.45/0.87 (assume @p262 (forall (@list @t228 @t83 @t82 @t79) (not (= @t350 @t84)))) % 0.45/0.87 (assume @p263 (forall @t349 (not (= tptp.c_Com_Ocom_OSKIP @t348)))) % 0.45/0.87 (assume @p264 (forall (@list @t263 @t354 @t5 @t351) (or @t355 (not (tptp.c_lessequals @t354 @t351 @t353)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t351 @t5))))) % 0.45/0.87 (assume @p265 (forall @t358 (or @t355 (not (tptp.c_lessequals @t356 @t263 @t353)) @t357))) % 0.45/0.87 (assume @p266 (forall @t360 (or (tptp.c_Hoare__Mirabelle_Ohoare__valids @t263 @t354 @t5) @t359))) % 0.45/0.87 (assume @p267 (forall @t360 (or @t355 (not (tptp.c_lessequals @t354 @t263 @t353))))) % 0.45/0.87 (assume @p268 (forall (@list @t19 @t1 @t5) (= (tptp.c_Map_Odom (tptp.c_COMBK @t332 @t4 @t5) @t5 @t1) @t167))) % 0.45/0.87 (assume @p269 (forall (@list @t85 @t101 @t83 @t82 @t79) (not (= @t112 @t84)))) % 0.45/0.87 (assume @p270 (forall (@list @t183) (tptp.hBOOL (tptp.hAPP @t294 @t183)))) % 0.45/0.87 (assume @p271 (forall (@list @t78 @t77 @t86 @t85) (not (= @t129 @t87)))) % 0.45/0.87 (assume @p272 (forall @t55 (or @t320 @t361 @t74))) % 0.45/0.87 (assume @p273 (forall (@list @t363 @t182 @t95 @t183) (or (= @t363 @t182) (not (tptp.hBOOL (tptp.hAPP @t362 @t363))) (not (tptp.hBOOL (tptp.hAPP @t362 @t182)))))) % 0.45/0.87 (assume @p274 (forall @t62 (or @t271 @t331 @t66 @t365))) % 0.45/0.87 (assume @p275 (forall @t62 (or @t271 @t331 @t365 @t66))) % 0.45/0.87 (assume @p276 (forall @t287 (not (= @t250 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p277 (forall @t62 (or @t45 (= @t43 @t6) @t66))) % 0.45/0.87 (assume @p278 (forall @t62 (or @t45 (not @t366) @t364))) % 0.45/0.87 (assume @p279 (forall @t62 (or @t45 @t366 @t365))) % 0.45/0.87 (assume @p280 (forall @t55 (or @t367 @t74))) % 0.45/0.87 (assume @p281 (forall @t55 (or (= @t38 @t13) @t361))) % 0.45/0.87 (assume @p282 (forall @t55 (or (not @t367) @t73))) % 0.45/0.87 (assume @p283 (= (tptp.hAPP @t12 tptp.v_x) (tptp.c_in tptp.v_x @t12 tptp.t_a))) % 0.45/0.87 (assume @p284 (forall (@list @t5 @t194 @t110) (or @t198 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t194 @t5) (tptp.c_Finite__Set_Olinorder__class_OMin @t110 @t5) @t5) @t197 @t196 @t195))) % 0.45/0.87 (assume @p285 (forall (@list @t184 @t183 @t182 @t57 @t177) (or @t368 @t189 @t186))) % 0.45/0.87 (assume @p286 (forall @t193 (or @t192 (not (tptp.hBOOL (tptp.hAPP @t187 @t172))) @t189))) % 0.45/0.87 (assume @p287 (forall @t370 (not (= tptp.c_Com_Ocom_OSKIP @t369)))) % 0.45/0.87 (assume @p288 (forall (@list @t22 @t13 @t1 @t35 @t5) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t22 @t13 @t1) @t35 @t1 @t26) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t121 @t26)))) % 0.45/0.87 (assume @p289 (forall @t208 (= (tptp.c_Fun_Ofun__upd @t23 @t6 @t163 @t1 @t5) @t23))) % 0.45/0.87 (assume @p290 (forall (@list @t23 @t6 @t19 @t1 @t5) (= (tptp.hAPP @t321 @t6) @t19))) % 0.45/0.87 (assume @p291 (forall (@list @t23 @t6 @t5 @t1) (= (tptp.c_Fun_Ofun__upd @t23 @t6 @t163 @t5 @t1) @t23))) % 0.45/0.87 (assume @p292 (forall (@list @t23 @t6 @t19 @t5 @t327) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t23 @t6 @t19 @t5 @t327) @t6) @t19))) % 0.45/0.87 (assume @p293 (forall (@list @t23 @t6 @t327 @t5) (= (tptp.c_Fun_Ofun__upd @t23 @t6 @t163 @t327 @t5) @t23))) % 0.45/0.87 (assume @p294 (forall @t376 (or @t375 (= @t372 @t371)))) % 0.45/0.87 (assume @p295 (forall @t376 (or @t375 @t147))) % 0.45/0.87 (assume @p296 (forall @t376 (or @t375 (= @t374 @t373)))) % 0.45/0.87 (assume @p297 (forall (@list @t79 @t143 @t86 @t85) (not (= @t144 @t87)))) % 0.45/0.87 (assume @p298 (forall @t377 (or @t168 (tptp.c_lessequals (tptp.c_Complete__Lattice_OInf__class_OInf @t13 @t5) @t6 @t5) @t15))) % 0.45/0.87 (assume @p299 (forall @t310 (or @t271 @t378 @t274))) % 0.45/0.87 (assume @p300 (forall @t310 (or @t271 (not @t378) @t275))) % 0.45/0.87 (assume @p301 (forall @t220 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t167 @t26) @t27))) % 0.45/0.87 (assume @p302 (forall @t289 (or (tptp.c_lessequals @t38 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t3 @t26) @t26) (not (tptp.c_lessequals @t35 @t3 @t26)) @t50))) % 0.45/0.87 (assume @p303 (forall @t220 (tptp.c_lessequals @t13 @t167 @t26))) % 0.45/0.87 (assume @p304 (forall @t219 (or (not (tptp.class_Orderings_Otop @t5)) (tptp.c_lessequals @t6 @t166 @t5)))) % 0.45/0.87 (assume @p305 (forall @t323 (or (= @t322 @t181) @t118))) % 0.45/0.87 (assume @p306 (forall @t380 (or @t379 @t142))) % 0.45/0.87 (assume @p307 (forall @t380 (or @t379 @t232))) % 0.45/0.87 (assume @p308 (forall (@list @t83 @t82 @t79 @t86 @t85) (not (= @t84 @t87)))) % 0.45/0.87 (assume @p309 (forall @t381 (not (= @t129 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p310 (forall @t162 (or @t105 @t74 @t227))) % 0.45/0.87 (assume @p311 (forall @t383 (or @t382 @t147))) % 0.45/0.87 (assume @p312 (forall @t383 (or @t382 @t142))) % 0.45/0.87 (assume @p313 (forall @t383 (or @t382 (= @t102 @t249)))) % 0.45/0.87 (assume @p314 (forall @t276 (tptp.hBOOL (tptp.c_in @t6 @t384 @t5)))) % 0.45/0.87 (assume @p315 (forall (@list @t13 @t35 @t5 @t22) (or @t234 (not @t386)))) % 0.45/0.87 (assume @p316 (forall @t319 (or @t386 @t245))) % 0.45/0.87 (assume @p317 (forall @t90 (or @t168 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t27 @t5) @t166)))) % 0.45/0.87 (assume @p318 (forall @t387 (not (= tptp.c_Com_Ocom_OSKIP @t84)))) % 0.45/0.87 (assume @p319 (forall (@list @t79 @t143 @t151 @t150) (not (= @t144 @t160)))) % 0.45/0.87 (assume @p320 (forall @t90 (or @t154 (tptp.c_Finite__Set_Ofinite @t167 @t5)))) % 0.45/0.87 (assume @p321 (forall @t100 (or @t282 @t253))) % 0.45/0.87 (assume @p322 (forall @t100 (or @t282 @t97))) % 0.45/0.87 (assume @p323 (forall (@list @t57 @t183 @t182 @t95) (or @t189 @t295 (not (tptp.hBOOL (tptp.hAPP @t235 @t182)))))) % 0.45/0.87 (assume @p324 (forall @t68 (or @t45 @t70 @t388))) % 0.45/0.87 (assume @p325 (forall @t389 (or @t45 @t69 @t388))) % 0.45/0.87 (assume @p326 (forall @t391 (or @t45 @t390 (not (tptp.c_lessequals @t6 @t57 @t5))))) % 0.45/0.87 (assume @p327 (forall @t391 (or @t45 @t390 (not (tptp.c_lessequals @t6 @t22 @t5))))) % 0.45/0.87 (assume @p328 (forall (@list @t5 @t57 @t6 @t22) (or @t45 @t58 @t392))) % 0.45/0.87 (assume @p329 (forall (@list @t5 @t22 @t6 @t57) (or @t45 @t56 @t392))) % 0.45/0.87 (assume @p330 (forall @t394 (or @t49 @t393))) % 0.45/0.87 (assume @p331 (forall (@list @t35 @t34 @t5 @t13) (or @t51 @t393))) % 0.45/0.87 (assume @p332 (forall @t155 (or @t198 (tptp.hBOOL (tptp.c_in @t395 @t13 @t5)) @t109 @t222))) % 0.45/0.87 (assume @p333 (forall (@list @t5 @t40 @t6 @t19) (or @t271 @t67 (not (tptp.c_lessequals @t40 @t19 @t5)) @t66))) % 0.45/0.87 (assume @p334 (forall @t389 (or @t396 @t69 @t71 @t365))) % 0.45/0.87 (assume @p335 (forall @t108 (or @t107 @t15 @t74))) % 0.45/0.87 (assume @p336 (forall @t254 (or @t98 @t97 @t74))) % 0.45/0.87 (assume @p337 (forall @t276 (tptp.c_lessequals @t6 @t6 @t26))) % 0.45/0.87 (assume @p338 (forall @t108 (or @t107 @t74 @t15))) % 0.45/0.87 (assume @p339 (forall (@list @t182 @t35 @t5 @t13) (or (tptp.hBOOL (tptp.c_in @t182 @t35 @t5)) (not (tptp.hBOOL (tptp.c_in @t182 @t13 @t5))) @t74))) % 0.45/0.87 (assume @p340 (forall @t220 (tptp.c_lessequals @t13 @t13 @t26))) % 0.45/0.87 (assume @p341 (forall @t394 (or @t49 @t52 @t74))) % 0.45/0.87 (assume @p342 (forall @t399 (or @t398 @t299 @t397))) % 0.45/0.87 (assume @p343 (forall @t219 (or @t271 @t400))) % 0.45/0.87 (assume @p344 (forall @t219 (or @t396 @t400))) % 0.45/0.87 (assume @p345 (forall @t246 (or @t153 @t244 @t74))) % 0.45/0.87 (assume @p346 (forall @t399 (or @t398 @t397 @t299))) % 0.45/0.87 (assume @p347 (forall @t246 (or @t153 @t74 @t244))) % 0.45/0.87 (assume @p348 (forall @t387 (not (= @t84 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p349 (forall @t310 (or @t271 @t401 @t274))) % 0.45/0.87 (assume @p350 (forall @t310 (or @t271 (not @t401) @t275))) % 0.45/0.87 (assume @p351 (forall @t155 (or @t198 (tptp.hBOOL (tptp.c_in @t402 @t13 @t5)) @t109 @t222))) % 0.45/0.87 (assume @p352 (forall (@list @t13 @t35 @t1 @t110 @t5) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t324 @t110 @t1 @t26) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t13 @t110 @t1 @t26) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t35 @t110 @t1 @t26) @t26)))) % 0.45/0.87 (assume @p353 (forall @t219 (= (tptp.c_The @t404 @t5) @t6))) % 0.45/0.87 (assume @p354 (forall @t377 (or @t198 (tptp.c_lessequals @t402 @t6 @t5) @t15 @t222))) % 0.45/0.87 (assume @p355 (forall (@list @t23 @t6 @t19 @t1 @t5 @t40) (or (= (tptp.hAPP @t321 @t40) @t406) @t405))) % 0.45/0.87 (assume @p356 (forall @t288 (or (= (tptp.hAPP @t164 @t40) @t406) @t405))) % 0.45/0.87 (assume @p357 (forall (@list @t35 @t34 @t13 @t5) (or (= (tptp.c_HOL_Ominus__class_Ominus @t35 (tptp.c_HOL_Ominus__class_Ominus @t34 @t13 @t26) @t26) @t13) @t52 @t74))) % 0.45/0.87 (assume @p358 (forall @t410 (or @t409 @t408 @t407 @t66))) % 0.45/0.87 (assume @p359 (forall @t410 (or @t409 @t408 @t65 (not @t407)))) % 0.45/0.87 (assume @p360 (forall @t370 (not (= @t369 tptp.c_Com_Ocom_OSKIP)))) % 0.45/0.87 (assume @p361 (forall @t411 (or @t198 (tptp.c_lessequals @t6 @t395 @t5) @t15 @t222))) % 0.45/0.87 (assume @p362 (forall (@list @t102 @t85 @t101 @t83 @t82 @t79) (not (= @t103 @t84)))) % 0.45/0.87 (assume @p363 (forall (@list @t184 @t183 @t182 @t177 @t57) (or @t368 @t188 @t186))) % 0.45/0.87 (assume @p364 (forall @t411 (or @t168 (tptp.c_lessequals @t6 @t240 @t5) @t15))) % 0.45/0.87 (assume @p365 (forall @t381 (not (= tptp.c_Com_Ocom_OSKIP @t129)))) % 0.45/0.87 (assume @p366 (forall @t64 (or @t198 @t65 @t364))) % 0.45/0.87 (assume @p367 (forall (@list @t263 @t91 @t95 @t209) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 @t95 @t209 tptp.t_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t412 tptp.tc_bool)) @t412) tptp.t_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t91 (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t263 @t91 @t209 @t95)) (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t263 @t91 @t209 @t95)))))) % 0.45/0.87 (assume @p368 (forall (@list @t413 @t173 @t172) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t417) @t173) @t172)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t416) @t173) @t172)))))) % 0.45/0.87 (assume @p369 (forall (@list @t91 @t183 @t172) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.hAPP @t415 @t419)) @t183) @t172)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t418) @t183) @t172)))))) % 0.45/0.87 (assume @p370 (forall (@list @t177 @t57 @t184) (or @t421 @t420))) % 0.45/0.87 (assume @p371 (forall (@list @t184 @t57 @t177) (or @t422 @t420))) % 0.45/0.87 (assume @p372 (forall (@list @t174 @t177) (or (tptp.c_Com_OWT @t179) @t424 @t423))) % 0.45/0.87 (assume @p373 (forall (@list @t177 @t184) (or @t421 @t425))) % 0.45/0.87 (assume @p374 (forall (@list @t184 @t177) (or @t422 @t425))) % 0.45/0.87 (assume @p375 (forall (@list @t57 @t174 @t177) (or (tptp.c_Com_OWT @t191) @t424 @t423))) % 0.45/0.87 (assume @p376 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.45/0.87 (assume @p377 (forall (@list @t426 @t22) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t426 @t22)))) % 0.45/0.87 (assume @p378 (forall (@list @t57 @t95) (or @t429 @t428))) % 0.45/0.87 (assume @p379 (forall (@list @t95 @t57) (or @t427 (not @t429)))) % 0.45/0.87 (assume @p380 (forall (@list @t430 @t22 @t95) (or @t431 @t428))) % 0.45/0.87 (assume @p381 (forall (@list @t95 @t430 @t22) (or @t427 (not @t431)))) % 0.45/0.87 (assume @p382 (= (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT tptp.v_c) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t157 tptp.v_c (tptp.c_Natural_Oevalc tptp.v_c) tptp.tc_Com_Ostate))) % 0.45/0.87 (assume @p383 (forall (@list @t1 @t5 @t6 @t204) (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t169 @t6 (tptp.c_Option_Ooption_OSome @t204 @t1) @t5 @t4) @t5 @t1) @t28))) % 0.45/0.87 (assume @p384 (forall (@list @t182) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t182) @t182)) @t432))) % 0.45/0.87 (assume @p385 (forall (@list @t95 @t1 @t5 @t13 @t6) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t95 @t1 @t5) @t13 @t5 @t1) (tptp.c_Set_Oinsert @t95 @t213 @t1)) @t15))) % 0.45/0.87 (assume @p386 (forall (@list @t263 @t91 @t5) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 tptp.c_Com_Ocom_OSKIP @t91 @t5) @t433 @t352) @t5))) % 0.45/0.87 (assume @p387 (forall (@list @t263 @t91 @t95 @t267 @t434 @t5 @t209) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 (tptp.c_Com_Ocom_OSemi @t95 @t267) @t434 @t5) @t433 @t352) @t5) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t209 @t267 @t434 @t5) @t433 @t352) @t5)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t91 @t95 @t209 @t5) @t433 @t352) @t5))))) % 0.45/0.87 (assume @p388 (forall @t291 (or (not (tptp.class_Orderings_Obot @t1)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t128) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t1))))) % 0.45/0.87 (assume @p389 (forall @t90 (or @t168 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t27 @t5) @t290)))) % 0.45/0.87 (assume @p390 (forall (@list @t23 @t221 @t303 @t5 @t1) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t23 @t221 @t303 @t5 @t1) @t207 @t1 @t5) (tptp.c_Set_Oimage @t23 (tptp.c_Set_Oimage @t221 @t207 @t1 @t303) @t303 @t5)))) % 0.45/0.87 (assume @p391 (forall @t435 (= (tptp.c_Collect (tptp.hAPP @t403 @t22) @t5) @t304))) % 0.45/0.87 (assume @p392 (forall (@list @t13 @t6 @t5) (or (= @t13 @t28) @t109 (not (tptp.c_lessequals @t13 @t28 @t26))))) % 0.45/0.87 (assume @p393 (forall @t276 (tptp.hBOOL (tptp.c_in @t6 @t28 @t5)))) % 0.45/0.87 (assume @p394 (forall (@list @t137 @t22 @t5 @t136 @t135 @t134 @t133 @t132 @t131 @t130) (or (= (tptp.hAPP @t137 @t304) @t22) @t138))) % 0.45/0.87 (assume @p395 (forall (@list @t136 @t22 @t5 @t137 @t135 @t134 @t133 @t132 @t131 @t130) (or (= (tptp.hAPP @t136 @t304) @t22) @t138))) % 0.45/0.87 (assume @p396 (forall @t435 (or @t168 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t304 @t5) @t22)))) % 0.45/0.87 (assume @p397 (forall @t276 (tptp.hBOOL (tptp.hAPP @t28 @t436)))) % 0.45/0.87 (assume @p398 (forall (@list @t22 @t1 @t35 @t5) (= (tptp.c_Set_Oinsert @t22 @t214 @t5) @t304))) % 0.45/0.87 (assume @p399 (forall (@list @t23 @t6 @t5) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t23 @t28 @t5) @t6)))) % 0.45/0.87 (assume @p400 (forall @t435 (or @t198 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t304 @t5) @t22)))) % 0.45/0.87 (assume @p401 (forall @t276 (= (tptp.c_The @t28 @t5) @t6))) % 0.45/0.87 (assume @p402 (forall (@list @t137 @t22 @t57 @t5 @t133 @t136 @t135 @t134 @t132 @t131 @t130) (or (= (tptp.hAPP @t137 @t309) (tptp.hAPP @t314 @t57)) @t138))) % 0.45/0.87 (assume @p403 (forall (@list @t136 @t22 @t57 @t5 @t132 @t137 @t135 @t134 @t133 @t131 @t130) (or (= (tptp.hAPP @t136 @t309) (tptp.hAPP @t315 @t57)) @t138))) % 0.45/0.87 (assume @p404 (forall @t319 (= @t385 (tptp.c_HOL_Ominus__class_Ominus @t305 @t35 @t26)))) % 0.45/0.87 (assume @p405 (forall @t319 (= @t385 (tptp.c_HOL_Ominus__class_Ominus @t88 @t304 @t26)))) % 0.45/0.87 (assume @p406 (forall (@list @t22 @t57 @t23 @t5) (or @t316 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t23 @t304 @t5) @t57)))))) % 0.45/0.87 (assume @p407 (forall @t276 (= (tptp.c_Set_Ocontents @t28 @t5) @t6))) % 0.45/0.87 (assume @p408 (forall (@list @t19 @t6 @t5) (or (= @t19 @t436) (not (tptp.hBOOL (tptp.hAPP @t28 @t19)))))) % 0.45/0.87 (assume @p409 (forall (@list @t57 @t22 @t5) (or (= @t57 @t22) (not (tptp.hBOOL (tptp.c_in @t57 @t304 @t5)))))) % 0.45/0.87 (assume @p410 (forall (@list @t23 @t22 @t5) (= (tptp.c_Finite__Set_Ofold1 @t23 @t304 @t5) @t22))) % 0.45/0.87 (assume @p411 (forall @t435 (or @t198 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t304 @t5) @t22)))) % 0.45/0.87 (assume @p412 (forall @t307 (= @t306 @t25))) % 0.45/0.87 (assume @p413 (forall @t435 (or @t271 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t22 @t22 @t5) @t304)))) % 0.45/0.87 (assume @p414 (forall (@list @t6 @t204 @t5) (or (not (= (tptp.c_Set_Oinsert @t6 @t204 @t5) @t27)) (tptp.hBOOL (tptp.c_in @t6 @t204 @t5))))) % 0.45/0.87 (assume @p415 (forall @t307 (= @t25 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t304 @t13 @t26)))) % 0.45/0.87 (assume @p416 (forall @t435 (or @t168 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t304 @t5) @t22)))) % 0.45/0.87 (assume @p417 (forall (@list @t95 @t5 @t1) (= (tptp.c_Set_Oimage @t437 @t213 @t1 @t5) @t27))) % 0.45/0.87 (assume @p418 (forall @t329 (or (= (tptp.c_Set_Oinsert @t163 @t223 @t1) @t223) @t15))) % 0.45/0.87 (assume @p419 (forall (@list @t263 @t439) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t443 tptp.tc_Com_Ostate) (not (tptp.c_Finite__Set_Ofinite @t439 tptp.tc_Com_Opname)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Lattices_Oupper__semilattice__class_Osup @t263 @t443 @t441) (tptp.c_Set_Oimage @t440 @t439 tptp.tc_Com_Opname @t438) tptp.tc_Com_Ostate))))) % 0.45/0.87 (assume @p420 (forall (@list @t8 @t22 @t57 @t5 @t1) (or (not (= @t284 @t341)) (tptp.hBOOL (tptp.c_in @t22 (tptp.c_Map_Odom @t8 @t1 @t5) @t1))))) % 0.45/0.87 (assume @p421 (forall (@list @t426 @t413 @t22) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t426 @t413 @t22)) (not @t444)))) % 0.45/0.87 (assume @p422 (forall (@list @t91 @t426 @t22) (or @t445 (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OCall @t426 @t91 @t22)))))) % 0.45/0.87 (assume @p423 (forall (@list @t91 @t95 @t209) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t446 @t449 tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__valids @t446 @t449 tptp.tc_Com_Ostate)) (not @t448)))) % 0.45/0.87 (assume @p424 (forall @t453 (or @t452 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t451 @t263 @t352) @t450 @t5))))) % 0.45/0.87 (assume @p425 (forall @t453 (or @t452 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t450 @t5))))) % 0.45/0.87 (assume @p426 (tptp.c_Finite__Set_Ofinite @t454 tptp.tc_Com_Opname)) % 0.45/0.87 (assume @p427 (forall (@list @t95 @t5 @t1 @t13) (or (= (tptp.c_Set_Oimage @t437 @t13 @t1 @t5) (tptp.c_Set_Oinsert @t95 @t27 @t5)) @t455))) % 0.45/0.87 (assume @p428 (forall @t276 (= @t384 @t28))) % 0.45/0.87 (assume @p429 @t457) % 0.45/0.87 (assume @p430 (forall (@list @t260) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t459 @t260 tptp.tc_Com_Ostate) (not (tptp.c_lessequals @t260 (tptp.c_Set_Oimage @t440 @t454 tptp.tc_Com_Opname @t438) @t441)) @t458 @t432))) % 0.45/0.87 (assume @p431 (forall @t462 (or @t461 @t428 (tptp.hBOOL (tptp.c_in @t460 @t454 tptp.tc_Com_Opname)) @t432))) % 0.45/0.87 (assume @p432 (forall (@list @t91) (or (= @t419 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t91) tptp.tc_Com_Ocom)) (not @t445)))) % 0.45/0.87 (assume @p433 (forall (@list @t263 @t413) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert @t463 @t446 @t438) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t463 @t263 @t438) (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT @t416) @t446 @t438) tptp.tc_Com_Ostate))))) % 0.45/0.87 (assume @p434 (forall @t462 (or @t461 @t428 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 (tptp.c_Set_Oinsert (tptp.hAPP tptp.c_Hoare__Mirabelle_OMGT (tptp.hAPP tptp.c_Com_Ocom_OBODY @t460)) @t446 @t438) tptp.tc_Com_Ostate)) @t432))) % 0.45/0.87 (assume @p435 (forall (@list @t263 @t182 @t354 @t5) (or @t465 @t359 (not @t464)))) % 0.45/0.87 (assume @p436 (forall (@list @t263 @t354 @t5 @t182) (or @t355 @t466))) % 0.45/0.87 (assume @p437 (forall (@list @t23 @t13 @t1 @t5) (or (not (= @t181 @t27)) @t455))) % 0.45/0.87 (assume @p438 (forall (@list @t413 @t57) (or (not (= @t414 (tptp.c_Option_Ooption_OSome @t57 tptp.tc_Com_Ocom))) @t458 (tptp.c_Com_OWT @t57)))) % 0.45/0.87 (assume @p439 (forall (@list @t23 @t221 @t13 @t303 @t1 @t5) (= (tptp.c_Set_Oimage @t23 (tptp.c_Set_Oimage @t221 @t13 @t303 @t1) @t1 @t5) (tptp.c_Set_Oimage (tptp.c_COMBB @t23 @t221 @t1 @t5 @t303) @t13 @t303 @t5)))) % 0.45/0.87 (assume @p440 (forall @t311 (tptp.hBOOL (tptp.hAPP @t104 @t6)))) % 0.45/0.87 (assume @p441 (forall (@list @t23 @t22 @t35 @t1 @t5) (= (tptp.c_Set_Oimage @t23 (tptp.c_Set_Oinsert @t22 @t35 @t1) @t1 @t5) (tptp.c_Set_Oinsert @t24 @t180 @t5)))) % 0.45/0.87 (assume @p442 (forall @t358 (or @t355 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t356 @t5)) @t357))) % 0.45/0.87 (assume @p443 (forall @t241 (not (= @t27 @t25)))) % 0.45/0.87 (assume @p444 @t468) % 0.45/0.87 (assume @p445 (forall @t472 (or @t471 @t470 @t469))) % 0.45/0.87 (assume @p446 (forall @t472 (or @t471 @t473 @t469))) % 0.45/0.87 (assume @p447 (forall @t472 (or @t471 @t470 @t277))) % 0.45/0.87 (assume @p448 (forall @t472 (or @t471 @t473 @t277))) % 0.45/0.87 (assume @p449 (forall @t219 (not (tptp.hBOOL (tptp.hAPP @t27 @t6))))) % 0.45/0.87 (assume @p450 (forall (@list @t263 @t5) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t263 @t433 @t5))) % 0.45/0.87 (assume @p451 (forall (@list @t22 @t5 @t338) (or (not (= (tptp.c_Option_Ooption_OSome @t22 @t5) @t339)) (= @t22 @t338)))) % 0.45/0.87 (assume @p452 (forall (@list @t6 @t204) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t6 @t204)))) % 0.45/0.87 (assume @p453 (forall (@list @t13 @t6 @t19 @t5) (or @t279 (= @t19 @t6) (not @t475)))) % 0.45/0.87 (assume @p454 (forall @t311 (= (tptp.c_Set_Oinsert @t6 @t104 @t5) @t104))) % 0.45/0.87 (assume @p455 (forall @t307 (not (= @t25 @t27)))) % 0.45/0.87 (assume @p456 (forall (@list @t5 @t23 @t13 @t1) (or (not (= @t27 @t181)) @t455))) % 0.45/0.87 (assume @p457 (forall (@list @t6 @t19 @t13 @t5) (= (tptp.c_Set_Oinsert @t6 @t474 @t5) (tptp.c_Set_Oinsert @t19 @t104 @t5)))) % 0.45/0.87 (assume @p458 (forall (@list @t91 @t209 @t1 @t5 @t303 @t434) (= (tptp.hAPP (tptp.c_COMBB @t91 @t209 @t1 @t5 @t303) @t434) (tptp.hAPP @t91 (tptp.hAPP @t209 @t434))))) % 0.45/0.87 (assume @p459 (forall (@list @t204 @t6 @t5) (= (tptp.c_Set_Oinsert @t204 @t28 @t5) (tptp.c_Set_Oinsert @t6 (tptp.c_Set_Oinsert @t204 @t27 @t5) @t5)))) % 0.45/0.87 (assume @p460 (forall (@list @t23 @t1 @t5) (= @t476 @t27))) % 0.45/0.87 (assume @p461 (forall @t165 (or (not (= @t163 @t340)) (= (tptp.c_Set_Oinsert @t6 @t330 @t1) @t330)))) % 0.45/0.87 (assume @p462 (forall (@list @t22 @t5 @t57) (or (not (= @t304 @t308)) @t316))) % 0.45/0.87 (assume @p463 (forall (@list @t263 @t182 @t5 @t354) (or @t464 @t466))) % 0.45/0.87 (assume @p464 (forall (@list @t19 @t13 @t5 @t6) (or @t475 @t281))) % 0.45/0.87 (assume @p465 (forall (@list @t228 @t82) (or (not (= @t350 @t348)) @t231))) % 0.45/0.87 (assume @p466 (forall (@list @t5 @t23 @t1) (= @t27 @t476))) % 0.45/0.87 (assume @p467 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.45/0.87 (assume @p468 tptp.c_Com_OWT__bodies) % 0.45/0.87 (assume @p469 (tptp.c_Com_OWT tptp.v_c)) % 0.45/0.87 (assume @p470 @t479) % 0.45/0.87 (assume @p471 (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t446 @t459 tptp.tc_Com_Ostate)) % 0.45/0.87 (assume @p472 (not @t481)) % 0.45/0.87 (assume @p473 (forall @t485 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t484) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t482))))) % 0.45/0.87 (assume @p474 (forall @t485 (or (tptp.class_Lattices_Oupper__semilattice @t484) @t486))) % 0.45/0.87 (assume @p475 (forall @t485 (or (tptp.class_Lattices_Obounded__lattice @t484) (not (tptp.class_Lattices_Obounded__lattice @t482))))) % 0.45/0.87 (assume @p476 (forall @t485 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t484) @t487 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t483))))) % 0.45/0.87 (assume @p477 (forall @t485 (or (tptp.class_Orderings_Opreorder @t484) (not (tptp.class_Orderings_Opreorder @t482))))) % 0.45/0.87 (assume @p478 (forall @t485 (or (tptp.class_Lattices_Olattice @t484) @t486))) % 0.45/0.87 (assume @p479 (forall @t485 (or (tptp.class_Orderings_Oorder @t484) (not (tptp.class_Orderings_Oorder @t482))))) % 0.45/0.87 (assume @p480 (forall @t485 (or (tptp.class_Orderings_Otop @t484) (not (tptp.class_Orderings_Otop @t482))))) % 0.45/0.87 (assume @p481 (forall @t485 (or (tptp.class_Orderings_Obot @t484) (not (tptp.class_Orderings_Obot @t482))))) % 0.45/0.87 (assume @p482 (forall @t485 (or (tptp.class_HOL_Ominus @t484) (not (tptp.class_HOL_Ominus @t482))))) % 0.45/0.87 (assume @p483 (forall @t485 (or (tptp.class_HOL_Oord @t484) (not (tptp.class_HOL_Oord @t482))))) % 0.45/0.87 (assume @p484 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.45/0.87 (assume @p485 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.45/0.87 (assume @p486 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.45/0.87 (assume @p487 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.45/0.87 (assume @p488 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.45/0.87 (assume @p489 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.45/0.87 (assume @p490 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.45/0.87 (assume @p491 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.45/0.87 (assume @p492 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.45/0.87 (assume @p493 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.45/0.88 (assume @p494 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.45/0.88 (assume @p495 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.45/0.88 (assume @p496 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.45/0.88 (assume @p497 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.45/0.88 (assume @p498 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.45/0.88 (assume @p499 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.45/0.88 (assume @p500 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.45/0.88 (assume @p501 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.45/0.88 (assume @p502 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.45/0.88 (assume @p503 (forall (@list @t482) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t482)) @t487))) % 0.45/0.88 (assume @p504 (forall (@list @t91 @t209 @t434 @t1 @t303 @t5) (= (tptp.c_COMBC @t91 @t209 @t434 @t1 @t303 @t5) (tptp.hAPP (tptp.hAPP @t91 @t434) @t209)))) % 0.45/0.88 (assume @p505 (forall @t219 (tptp.hBOOL (tptp.hAPP @t404 @t6)))) % 0.45/0.88 (assume @p506 (forall (@list @t426 @t430 @t5) (or (= @t426 @t430) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t426) @t430)))))) % 0.45/0.88 (step @p507 :rule eq-symm :args (@t335 @t89)) % 0.45/0.88 (step @p508 :rule cong :premises (@p507) :args (@t336)) % 0.45/0.88 (step @p509 :rule cong :premises (@p508) :args (@t337)) % 0.45/0.88 (step @p510 :rule eq_resolve :premises (@p242 @p509)) % 0.45/0.88 (step @p511 :rule instantiate :premises (@p510) :args ((@list tptp.v_y tptp.tc_Com_Ocom))) % 0.45/0.88 (step @p512 :rule eq-symm :args (@t478 @t456)) % 0.45/0.88 (step @p513 :rule refl :args (@t488)) % 0.45/0.88 (step @p514 :rule nary_cong :premises (@p513 @p512) :args (@t489)) % 0.45/0.88 (step @p515 :rule refl :args (@t457)) % 0.45/0.88 (step @p516 :rule cong :premises (@p515 @p514) :args ((=> @t457 @t489))) % 0.45/0.88 (assume-push @p557 @t457) % 0.45/0.88 (step @p518 :rule instantiate :premises (@p429) :args ((@list tptp.v_pn))) % 0.45/0.88 (step-pop @p558 :rule scope :premises (@p518)) % 0.45/0.88 (step @p519 :rule process_scope :premises (@p558) :args (@t489)) % 0.45/0.88 (step @p521 :rule eq_resolve :premises (@p519 @p516)) % 0.45/0.88 (step @p522 :rule implies_elim :premises (@p521)) % 0.45/0.88 (step @p523 :rule chain_m_resolution :premises (@p522 @p429) :args (@t491 (@list false) (@list @t457))) % 0.45/0.88 (step @p524 :rule quant-miniscope-or :args ((= (forall @t159 @t494) (or @t458 @t432 @t493)))) % 0.45/0.88 (step @p525 :rule aci_norm :args ((= @t467 @t494))) % 0.45/0.88 (step @p526 :rule cong :premises (@p525) :args (@t468)) % 0.45/0.88 (step @p527 :rule trans :premises (@p526 @p524)) % 0.45/0.88 (step @p528 :rule eq_resolve :premises (@p444 @p527)) % 0.45/0.88 (step @p529 :rule reordering :premises (@p528) :args ((or @t432 @t458 @t493))) % 0.45/0.88 (step @p530 :rule chain_m_resolution :premises (@p529 @p467 @p468) :args (@t493 (@list false false) (@list tptp.c_Hoare__Mirabelle_Ostate__not__singleton tptp.c_Com_OWT__bodies))) % 0.45/0.88 (step @p531 :rule instantiate :premises (@p530) :args ((@list @t480))) % 0.45/0.88 (step @p532 :rule cnf_or_pos :args (@t496)) % 0.45/0.88 (step @p533 :rule reordering :premises (@p532) :args ((or @t481 @t495 (not @t496)))) % 0.45/0.88 (step @p534 :rule chain_m_resolution :premises (@p533 @p472 @p531) :args (@t495 @t497 (@list @t481 @t496))) % 0.45/0.88 (step @p535 :rule cnf_or_pos :args (@t491)) % 0.45/0.88 (step @p536 :rule reordering :premises (@p535) :args ((or @t488 @t490 (not @t491)))) % 0.45/0.88 (step @p537 :rule chain_m_resolution :premises (@p536 @p534 @p523) :args (@t490 @t497 (@list @t488 @t491))) % 0.45/0.88 (step @p538 :rule refl :args (@t498)) % 0.45/0.88 (step @p539 :rule bool-double-not-elim :args (@t499)) % 0.45/0.88 (step @p540 :rule refl :args (@t500)) % 0.45/0.88 (step @p541 :rule nary_cong :premises (@p540 @p539 @p538) :args ((or @t500 (not @t501) @t498))) % 0.45/0.88 (assume-push @p559 @t479) % 0.45/0.88 (assume-push @p560 @t501) % 0.45/0.88 (step @p544 :rule false_intro :premises (@p511)) % 0.45/0.88 (step @p545 :rule refl :args (@t456)) % 0.45/0.88 (step @p546 :rule cong :premises (@p545 @p470) :args (@t490)) % 0.45/0.88 (step @p547 :rule trans :premises (@p546 @p544)) % 0.45/0.88 (step @p548 :rule false_elim :premises (@p547)) % 0.45/0.88 (step-pop @p561 :rule scope :premises (@p548)) % 0.45/0.88 (step-pop @p562 :rule scope :premises (@p561)) % 0.45/0.88 (step @p549 :rule process_scope :premises (@p562) :args (@t498)) % 0.45/0.88 (step @p552 :rule implies_elim :premises (@p549)) % 0.45/0.88 (step @p553 :rule cnf_and_neg :args (@t502)) % 0.45/0.88 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t502)) % 0.45/0.88 (step @p555 :rule eq_resolve :premises (@p554 @p541)) % 0.45/0.88 (step @p556 false :rule chain_m_resolution :premises (@p555 @p537 @p511 @p470) :args (false (@list false true false) (@list @t490 @t499 @t479))) % 0.45/0.88 ) % 0.45/0.88 % SZS output end Proof % 0.45/0.88 % cvc5 exiting %------------------------------------------------------------------------------