%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV892-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:34 AM UTC 2026 % Result : Unsatisfiable 0.51s 0.99s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV892-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:20:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.99 % SZS status Unsatisfiable % 0.51/0.99 % SZS output start Proof % 0.51/1.01 ( % 0.51/1.01 (declare-sort $$unsorted 0) % 0.51/1.01 (declare-const tptp.v_pn $$unsorted) % 0.51/1.01 (declare-const tptp.c_Com_OWT__bodies Bool) % 0.51/1.01 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Map_Osko__Map__Xmap__le__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Map_Omap__le (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.tc_bool $$unsorted) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OAss (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.51/1.01 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.tc_nat $$unsorted) % 0.51/1.01 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OLocal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.51/1.01 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Map_Osko__Map__XdomD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Com_Obody $$unsorted) % 0.51/1.01 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.v_c $$unsorted) % 0.51/1.01 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Hoare__Mirabelle_OMGT (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 0.51/1.01 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Map_Omap__add (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Map_Odom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.51/1.01 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.51/1.01 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.51/1.01 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.01 (define @t1 () (@var "T_a" $$unsorted)) % 0.51/1.01 (define @t2 () (@var "V_x" $$unsorted)) % 0.51/1.01 (define @t3 () (@var "V_y" $$unsorted)) % 0.51/1.01 (define @t4 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1)) % 0.51/1.01 (define @t5 () (tptp.c_lessequals @t4 @t2 @t1)) % 0.51/1.01 (define @t6 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.51/1.01 (define @t7 () (@list @t1 @t2 @t3)) % 0.51/1.01 (define @t8 () (tptp.c_lessequals @t4 @t3 @t1)) % 0.51/1.01 (define @t9 () (@var "V_a" $$unsorted)) % 0.51/1.01 (define @t10 () (tptp.c_lessequals @t2 @t9 @t1)) % 0.51/1.01 (define @t11 () (not @t10)) % 0.51/1.01 (define @t12 () (@var "V_b" $$unsorted)) % 0.51/1.01 (define @t13 () (tptp.c_lessequals @t2 @t12 @t1)) % 0.51/1.01 (define @t14 () (not @t13)) % 0.51/1.01 (define @t15 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t12 @t1)) % 0.51/1.01 (define @t16 () (tptp.c_lessequals @t2 @t15 @t1)) % 0.51/1.01 (define @t17 () (@list @t1 @t2 @t9 @t12)) % 0.51/1.01 (define @t18 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.51/1.01 (define @t19 () (not @t18)) % 0.51/1.01 (define @t20 () (@var "V_z" $$unsorted)) % 0.51/1.01 (define @t21 () (tptp.c_lessequals @t2 @t20 @t1)) % 0.51/1.01 (define @t22 () (not @t21)) % 0.51/1.01 (define @t23 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t20 @t1)) % 0.51/1.01 (define @t24 () (tptp.c_lessequals @t2 @t23 @t1)) % 0.51/1.01 (define @t25 () (@list @t1 @t2 @t3 @t20)) % 0.51/1.01 (define @t26 () (not (tptp.class_Lattices_Olattice @t1))) % 0.51/1.01 (define @t27 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.51/1.01 (define @t28 () (@var "V_C" $$unsorted)) % 0.51/1.01 (define @t29 () (@var "V_A" $$unsorted)) % 0.51/1.01 (define @t30 () (tptp.c_lessequals @t29 @t28 @t27)) % 0.51/1.01 (define @t31 () (not @t30)) % 0.51/1.01 (define @t32 () (@var "V_D" $$unsorted)) % 0.51/1.01 (define @t33 () (@var "V_B" $$unsorted)) % 0.51/1.01 (define @t34 () (not (tptp.c_lessequals @t33 @t32 @t27))) % 0.51/1.01 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t27)) % 0.51/1.01 (define @t36 () (@list @t29 @t33 @t1 @t28 @t32)) % 0.51/1.01 (define @t37 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 0.51/1.01 (define @t38 () (@list @t1)) % 0.51/1.01 (define @t39 () (= @t29 @t37)) % 0.51/1.01 (define @t40 () (@list @t29 @t1)) % 0.51/1.01 (define @t41 () (@var "V_fun2_H" $$unsorted)) % 0.51/1.01 (define @t42 () (@var "V_fun2" $$unsorted)) % 0.51/1.01 (define @t43 () (@var "V_com_H" $$unsorted)) % 0.51/1.01 (define @t44 () (@var "V_fun1_H" $$unsorted)) % 0.51/1.01 (define @t45 () (@var "V_com" $$unsorted)) % 0.51/1.01 (define @t46 () (@var "V_fun1" $$unsorted)) % 0.51/1.01 (define @t47 () (not (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t46 @t45 @t42 @t1) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t44 @t43 @t41 @t1)))) % 0.51/1.01 (define @t48 () (@list @t46 @t45 @t42 @t1 @t44 @t43 @t41)) % 0.51/1.01 (define @t49 () (= @t45 @t43)) % 0.51/1.01 (define @t50 () (@var "V_f" $$unsorted)) % 0.51/1.01 (define @t51 () (@var "T_aa" $$unsorted)) % 0.51/1.01 (define @t52 () (tptp.hAPP @t50 @t2)) % 0.51/1.01 (define @t53 () (@var "T_b" $$unsorted)) % 0.51/1.01 (define @t54 () (tptp.c_Fun_Ofun__upd @t50 @t2 @t3 @t53 @t1)) % 0.51/1.01 (define @t55 () (@list @t50 @t2 @t53 @t1)) % 0.51/1.01 (define @t56 () (tptp.c_lessequals @t29 @t33 @t27)) % 0.51/1.01 (define @t57 () (= @t35 @t33)) % 0.51/1.01 (define @t58 () (@list @t29 @t33 @t1)) % 0.51/1.01 (define @t59 () (not (tptp.c_lessequals @t33 @t29 @t27))) % 0.51/1.01 (define @t60 () (not @t56)) % 0.51/1.01 (define @t61 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1)) % 0.51/1.01 (define @t62 () (= @t61 @t3)) % 0.51/1.01 (define @t63 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.51/1.01 (define @t64 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.51/1.01 (define @t65 () (not @t64)) % 0.51/1.01 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.51/1.01 (define @t67 () (not @t66)) % 0.51/1.01 (define @t68 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.51/1.01 (define @t69 () (not (tptp.class_Orderings_Oorder @t1))) % 0.51/1.01 (define @t70 () (tptp.tc_fun @t1 @t53)) % 0.51/1.01 (define @t71 () (@var "V_g" $$unsorted)) % 0.51/1.01 (define @t72 () (tptp.c_HOL_Oord__class_Oless @t50 @t71 @t70)) % 0.51/1.01 (define @t73 () (not @t72)) % 0.51/1.01 (define @t74 () (tptp.c_lessequals @t50 @t71 @t70)) % 0.51/1.01 (define @t75 () (not (tptp.class_HOL_Oord @t53))) % 0.51/1.01 (define @t76 () (@list @t53 @t50 @t71 @t1)) % 0.51/1.01 (define @t77 () (tptp.c_HOL_Oord__class_Oless @t29 @t33 @t27)) % 0.51/1.01 (define @t78 () (not @t77)) % 0.51/1.01 (define @t79 () (= @t2 @t3)) % 0.51/1.01 (define @t80 () (= @t29 @t33)) % 0.51/1.01 (define @t81 () (not @t74)) % 0.51/1.01 (define @t82 () (tptp.c_lessequals @t71 @t50 @t70)) % 0.51/1.01 (define @t83 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t20 @t1)) % 0.51/1.01 (define @t84 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t83 @t1)) % 0.51/1.01 (define @t85 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t23 @t1)) % 0.51/1.01 (define @t86 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t33 @t27)) % 0.51/1.01 (define @t87 () (tptp.c_Fun_Ofun__upd @t50 @t2 @t3 @t1 @t53)) % 0.51/1.01 (define @t88 () (@list @t50 @t2 @t3 @t1 @t53 @t20)) % 0.51/1.01 (define @t89 () (@list @t1 @t33)) % 0.51/1.01 (define @t90 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.51/1.01 (define @t91 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.51/1.01 (define @t92 () (@list @t1 @t2)) % 0.51/1.01 (define @t93 () (@var "V_G" $$unsorted)) % 0.51/1.01 (define @t94 () (@var "V_F" $$unsorted)) % 0.51/1.01 (define @t95 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t94 @t93 @t27) @t1)) % 0.51/1.01 (define @t96 () (not @t95)) % 0.51/1.01 (define @t97 () (tptp.c_Finite__Set_Ofinite @t93 @t1)) % 0.51/1.01 (define @t98 () (tptp.c_Finite__Set_Ofinite @t94 @t1)) % 0.51/1.01 (define @t99 () (tptp.hAPP @t29 @t2)) % 0.51/1.01 (define @t100 () (tptp.hBOOL @t99)) % 0.51/1.01 (define @t101 () (not @t100)) % 0.51/1.01 (define @t102 () (tptp.hBOOL (tptp.hAPP @t35 @t2))) % 0.51/1.01 (define @t103 () (@list @t29 @t33 @t1 @t2)) % 0.51/1.01 (define @t104 () (tptp.hAPP @t33 @t2)) % 0.51/1.01 (define @t105 () (tptp.hBOOL @t104)) % 0.51/1.01 (define @t106 () (not @t105)) % 0.51/1.01 (define @t107 () (@list @t33 @t2 @t29 @t1)) % 0.51/1.01 (define @t108 () (@var "V_c" $$unsorted)) % 0.51/1.01 (define @t109 () (= @t9 @t108)) % 0.51/1.01 (define @t110 () (@var "V_d" $$unsorted)) % 0.51/1.01 (define @t111 () (@var "V_m" $$unsorted)) % 0.51/1.01 (define @t112 () (not (tptp.c_Map_Omap__le @t50 @t71 @t1 @t53))) % 0.51/1.01 (define @t113 () (tptp.tc_Option_Ooption @t53)) % 0.51/1.01 (define @t114 () (tptp.c_lessequals @t28 @t29 @t27)) % 0.51/1.01 (define @t115 () (not @t114)) % 0.51/1.01 (define @t116 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t28 @t27)) % 0.51/1.01 (define @t117 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t116 @t27)) % 0.51/1.01 (define @t118 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t33 @t27)) % 0.51/1.01 (define @t119 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t28 @t27) @t117)) % 0.51/1.01 (define @t120 () (@list @t29 @t33 @t1 @t28)) % 0.51/1.01 (define @t121 () (not @t98)) % 0.51/1.01 (define @t122 () (not @t97)) % 0.51/1.01 (define @t123 () (@list @t94 @t93 @t1)) % 0.51/1.01 (define @t124 () (tptp.c_Set_Oinsert @t9 @t33 @t1)) % 0.51/1.01 (define @t125 () (tptp.c_Option_Ooption_OSome @t3 @t1)) % 0.51/1.01 (define @t126 () (tptp.tc_Option_Ooption @t1)) % 0.51/1.01 (define @t127 () (tptp.c_Option_Ooption_OSome @t12 @t1)) % 0.51/1.01 (define @t128 () (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t111 @t9 @t127 @t53 @t126) @t2) @t125)) % 0.51/1.01 (define @t129 () (= @t2 @t9)) % 0.51/1.01 (define @t130 () (= (tptp.hAPP @t111 @t2) @t125)) % 0.51/1.01 (define @t131 () (= @t12 @t3)) % 0.51/1.01 (define @t132 () (not @t128)) % 0.51/1.01 (define @t133 () (@list @t111 @t9 @t12 @t1 @t53 @t2 @t3)) % 0.51/1.01 (define @t134 () (@list @t1 @t29)) % 0.51/1.01 (define @t135 () (@list @t29 @t9 @t33 @t1)) % 0.51/1.01 (define @t136 () (@list @t9 @t33 @t1 @t28)) % 0.51/1.01 (define @t137 () (tptp.c_Set_Oinsert @t12 @t33 @t1)) % 0.51/1.01 (define @t138 () (tptp.c_Set_Oinsert @t2 @t29 @t1)) % 0.51/1.01 (define @t139 () (tptp.c_lessequals @t138 @t33 @t27)) % 0.51/1.01 (define @t140 () (not @t139)) % 0.51/1.01 (define @t141 () (tptp.c_Finite__Set_Ofinite @t29 @t1)) % 0.51/1.01 (define @t142 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t29 @t27)) % 0.51/1.01 (define @t143 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t29 @t27)) % 0.51/1.01 (define @t144 () (@list @t33 @t28 @t1 @t29)) % 0.51/1.01 (define @t145 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t28 @t27)) % 0.51/1.01 (define @t146 () (@list @t29 @t33 @t28 @t1)) % 0.51/1.01 (define @t147 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t20 @t1)) % 0.51/1.01 (define @t148 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t147 @t1)) % 0.51/1.01 (define @t149 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t20 @t1)) % 0.51/1.01 (define @t150 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t149 @t1)) % 0.51/1.01 (define @t151 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.51/1.01 (define @t152 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 0.51/1.01 (define @t153 () (@list @t1 @t3 @t20 @t2)) % 0.51/1.01 (define @t154 () (tptp.c_lessequals @t28 @t33 @t27)) % 0.51/1.01 (define @t155 () (tptp.c_lessequals @t28 @t118 @t27)) % 0.51/1.01 (define @t156 () (@list @t28 @t29 @t33 @t1)) % 0.51/1.01 (define @t157 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 0.51/1.01 (define @t158 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t28 @t27)) % 0.51/1.01 (define @t159 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t28 @t27)) % 0.51/1.01 (define @t160 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t29 @t27)) % 0.51/1.01 (define @t161 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t29 @t27)) % 0.51/1.01 (define @t162 () (@var "T_c" $$unsorted)) % 0.51/1.01 (define @t163 () (tptp.c_lessequals @t61 @t20 @t1)) % 0.51/1.01 (define @t164 () (not @t163)) % 0.51/1.01 (define @t165 () (tptp.c_lessequals @t3 @t20 @t1)) % 0.51/1.01 (define @t166 () (@list @t1 @t2 @t20 @t3)) % 0.51/1.01 (define @t167 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t12 @t1)) % 0.51/1.01 (define @t168 () (tptp.c_lessequals @t2 @t167 @t1)) % 0.51/1.01 (define @t169 () (tptp.c_lessequals @t167 @t2 @t1)) % 0.51/1.01 (define @t170 () (not @t169)) % 0.51/1.01 (define @t171 () (tptp.c_lessequals @t12 @t2 @t1)) % 0.51/1.01 (define @t172 () (tptp.c_lessequals @t9 @t2 @t1)) % 0.51/1.01 (define @t173 () (tptp.c_lessequals @t35 @t28 @t27)) % 0.51/1.01 (define @t174 () (not @t173)) % 0.51/1.01 (define @t175 () (@list @t29 @t28 @t1 @t33)) % 0.51/1.01 (define @t176 () (tptp.c_lessequals @t33 @t28 @t27)) % 0.51/1.01 (define @t177 () (not (tptp.c_lessequals @t20 @t3 @t1))) % 0.51/1.01 (define @t178 () (tptp.c_lessequals @t20 @t2 @t1)) % 0.51/1.01 (define @t179 () (@list @t1 @t20 @t2 @t3)) % 0.51/1.01 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.51/1.01 (define @t181 () (not @t180)) % 0.51/1.01 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t20 @t2 @t1)) % 0.51/1.01 (define @t183 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t3 @t1))) % 0.51/1.01 (define @t184 () (not @t165)) % 0.51/1.01 (define @t185 () (@list @t2 @t1)) % 0.51/1.01 (define @t186 () (not @t176)) % 0.51/1.01 (define @t187 () (tptp.c_Fun_Oinj__on @t50 @t33 @t1 @t53)) % 0.51/1.01 (define @t188 () (not @t187)) % 0.51/1.01 (define @t189 () (tptp.c_Fun_Oinj__on @t50 @t29 @t1 @t53)) % 0.51/1.01 (define @t190 () (@list @t50 @t29 @t1 @t53 @t33)) % 0.51/1.01 (define @t191 () (@var "V_Q" $$unsorted)) % 0.51/1.01 (define @t192 () (@var "V_P" $$unsorted)) % 0.51/1.01 (define @t193 () (not (tptp.c_lessequals @t192 @t191 @t27))) % 0.51/1.01 (define @t194 () (tptp.hBOOL (tptp.hAPP @t192 @t2))) % 0.51/1.01 (define @t195 () (not @t194)) % 0.51/1.01 (define @t196 () (tptp.hBOOL (tptp.hAPP @t191 @t2))) % 0.51/1.01 (define @t197 () (@list @t191 @t2 @t192 @t1)) % 0.51/1.01 (define @t198 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.51/1.01 (define @t199 () (not (tptp.c_Finite__Set_Ofinite @t33 @t1))) % 0.51/1.01 (define @t200 () (@list @t29 @t1 @t33)) % 0.51/1.01 (define @t201 () (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t27)) % 0.51/1.01 (define @t202 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t28 @t27))) % 0.51/1.01 (define @t203 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t20 @t1))) % 0.51/1.01 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t2 @t20 @t1)) % 0.51/1.01 (define @t205 () (tptp.c_Option_Ooption_OSome @t2 @t1)) % 0.51/1.01 (define @t206 () (@var "V_xa" $$unsorted)) % 0.51/1.01 (define @t207 () (@var "V_t" $$unsorted)) % 0.51/1.01 (define @t208 () (@var "V_k" $$unsorted)) % 0.51/1.01 (define @t209 () (@var "V_M" $$unsorted)) % 0.51/1.01 (define @t210 () (tptp.tc_fun @t53 tptp.tc_bool)) % 0.51/1.01 (define @t211 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t210)) % 0.51/1.01 (define @t212 () (= @t20 @t2)) % 0.51/1.01 (define @t213 () (tptp.hAPP @t50 @t20)) % 0.51/1.01 (define @t214 () (@var "V_x_H" $$unsorted)) % 0.51/1.01 (define @t215 () (@var "V_y_H" $$unsorted)) % 0.51/1.01 (define @t216 () (tptp.c_lessequals @t215 @t214 @t1)) % 0.51/1.01 (define @t217 () (tptp.c_HOL_Ominus__class_Ominus @t214 @t215 @t1)) % 0.51/1.01 (define @t218 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1) @t217))) % 0.51/1.01 (define @t219 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.51/1.01 (define @t220 () (@list @t1 @t2 @t3 @t214 @t215)) % 0.51/1.01 (define @t221 () (tptp.c_Set_Oimage @t50 @t33 @t1 @t53)) % 0.51/1.01 (define @t222 () (tptp.c_Set_Oimage @t50 @t29 @t1 @t53)) % 0.51/1.01 (define @t223 () (tptp.c_Set_Oimage @t50 @t29 @t53 @t1)) % 0.51/1.01 (define @t224 () (not (tptp.c_lessequals @t12 @t9 @t1))) % 0.51/1.01 (define @t225 () (= @t9 @t12)) % 0.51/1.01 (define @t226 () (tptp.c_HOL_Oord__class_Oless @t12 @t9 @t1)) % 0.51/1.01 (define @t227 () (@list @t1 @t12 @t9)) % 0.51/1.01 (define @t228 () (not (tptp.c_lessequals @t9 @t12 @t1))) % 0.51/1.01 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t9 @t12 @t1)) % 0.51/1.01 (define @t230 () (@list @t1 @t9 @t12)) % 0.51/1.01 (define @t231 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.51/1.01 (define @t232 () (tptp.c_Option_Ooption_OSome @t3 @t53)) % 0.51/1.01 (define @t233 () (@var "V_n" $$unsorted)) % 0.51/1.01 (define @t234 () (tptp.c_Set_Oimage @t50 @t33 @t53 @t1)) % 0.51/1.01 (define @t235 () (@list @t50 @t29 @t33 @t53 @t1)) % 0.51/1.01 (define @t236 () (@list @t1 @t3 @t2)) % 0.51/1.01 (define @t237 () (not @t141)) % 0.51/1.01 (define @t238 () (tptp.c_Finite__Set_Osetsum @t50 @t29 @t1 @t53)) % 0.51/1.01 (define @t239 () (not (tptp.class_OrderedGroup_Oab__group__add @t53))) % 0.51/1.01 (define @t240 () (not @t189)) % 0.51/1.01 (define @t241 () (tptp.c_Finite__Set_Ofinite @t33 @t53)) % 0.51/1.01 (define @t242 () (tptp.c_Finite__Set_Ocard @t29 @t1)) % 0.51/1.01 (define @t243 () (tptp.c_in @t1)) % 0.51/1.01 (define @t244 () (tptp.hAPP @t243 @t2)) % 0.51/1.01 (define @t245 () (tptp.hBOOL (tptp.hAPP @t244 @t29))) % 0.51/1.01 (define @t246 () (tptp.hAPP @t52 @t3)) % 0.51/1.01 (define @t247 () (tptp.c_Set_Oinsert @t2 @t33 @t1)) % 0.51/1.01 (define @t248 () (tptp.c_lessequals @t29 @t247 @t27)) % 0.51/1.01 (define @t249 () (not @t248)) % 0.51/1.01 (define @t250 () (@list @t29 @t2 @t33 @t1)) % 0.51/1.01 (define @t251 () (tptp.hBOOL (tptp.hAPP @t244 @t33))) % 0.51/1.01 (define @t252 () (@list @t1 @t2 @t33 @t29)) % 0.51/1.01 (define @t253 () (not @t251)) % 0.51/1.01 (define @t254 () (@list @t2 @t29 @t1 @t33)) % 0.51/1.01 (define @t255 () (tptp.c_in @t53)) % 0.51/1.01 (define @t256 () (tptp.hAPP @t255 @t2)) % 0.51/1.01 (define @t257 () (tptp.hBOOL (tptp.hAPP @t256 @t29))) % 0.51/1.01 (define @t258 () (not @t257)) % 0.51/1.01 (define @t259 () (tptp.hAPP @t243 @t52)) % 0.51/1.01 (define @t260 () (tptp.c_Set_Oimage @t54 @t29 @t53 @t1)) % 0.51/1.01 (define @t261 () (@list @t50 @t2 @t3 @t53 @t1 @t29)) % 0.51/1.01 (define @t262 () (@var "V_i" $$unsorted)) % 0.51/1.01 (define @t263 () (tptp.hAPP @t243 @t262)) % 0.51/1.01 (define @t264 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t53))) % 0.51/1.01 (define @t265 () (tptp.hAPP @t243 @t9)) % 0.51/1.01 (define @t266 () (tptp.hBOOL (tptp.hAPP @t265 @t29))) % 0.51/1.01 (define @t267 () (not @t266)) % 0.51/1.01 (define @t268 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t1 @t210)) % 0.51/1.01 (define @t269 () (tptp.hAPP @t33 @t9)) % 0.51/1.01 (define @t270 () (@var "V_I" $$unsorted)) % 0.51/1.01 (define @t271 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t270 @t29 @t1 @t210)) % 0.51/1.01 (define @t272 () (tptp.c_Set_Oinsert @t9 @t37 @t1)) % 0.51/1.01 (define @t273 () (tptp.c_Set_Oinsert @t9 @t29 @t1)) % 0.51/1.01 (define @t274 () (@list @t9 @t29 @t1)) % 0.51/1.01 (define @t275 () (tptp.c_Set_Oinsert @t2 @t37 @t1)) % 0.51/1.01 (define @t276 () (@list @t29 @t2 @t1)) % 0.51/1.01 (define @t277 () (tptp.c_Orderings_Obot__class_Obot @t210)) % 0.51/1.01 (define @t278 () (tptp.c_COMBK @t108 @t1 @t53)) % 0.51/1.01 (define @t279 () (@var "V_S" $$unsorted)) % 0.51/1.01 (define @t280 () (tptp.c_COMBC @t243 @t1 @t27 tptp.tc_bool)) % 0.51/1.01 (define @t281 () (tptp.hAPP @t280 @t279)) % 0.51/1.01 (define @t282 () (@var "V_R" $$unsorted)) % 0.51/1.01 (define @t283 () (tptp.hAPP @t280 @t282)) % 0.51/1.01 (define @t284 () (tptp.c_lessequals @t283 @t281 @t27)) % 0.51/1.01 (define @t285 () (tptp.c_lessequals @t282 @t279 @t27)) % 0.51/1.01 (define @t286 () (@list @t1 @t282 @t279)) % 0.51/1.01 (define @t287 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t277 @t33 @t53 @t27)) % 0.51/1.01 (define @t288 () (@list @t29 @t53 @t33 @t1)) % 0.51/1.01 (define @t289 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t53 @t27)) % 0.51/1.01 (define @t290 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t33 @t210)) % 0.51/1.01 (define @t291 () (tptp.c_Fun_Oinj__on @t50 @t35 @t1 @t53)) % 0.51/1.01 (define @t292 () (not @t291)) % 0.51/1.01 (define @t293 () (= (tptp.c_Finite__Set_Ocard @t222 @t53) @t242)) % 0.51/1.01 (define @t294 () (@list @t50 @t29 @t1 @t53)) % 0.51/1.01 (define @t295 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t33 @t210)) % 0.51/1.01 (define @t296 () (@list @t50 @t29 @t53 @t1 @t33)) % 0.51/1.01 (define @t297 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t28 @t27)) % 0.51/1.01 (define @t298 () (tptp.c_Set_Ovimage @t50 @t29 @t53 @t1)) % 0.51/1.01 (define @t299 () (@list @t50 @t29 @t53 @t1)) % 0.51/1.01 (define @t300 () (tptp.c_Map_Omap__add @t50 @t71 @t1 @t53)) % 0.51/1.01 (define @t301 () (tptp.c_Map_Odom @t111 @t1 @t53)) % 0.51/1.01 (define @t302 () (tptp.c_Option_Ooption_ONone @t53)) % 0.51/1.01 (define @t303 () (tptp.c_Fun_Ofun__upd @t50 @t2 @t302 @t1 @t113)) % 0.51/1.01 (define @t304 () (tptp.c_Map_Odom @t50 @t1 @t53)) % 0.51/1.01 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 0.51/1.01 (define @t306 () (not @t305)) % 0.51/1.01 (define @t307 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t116 @t27)) % 0.51/1.01 (define @t308 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t149 @t1)) % 0.51/1.01 (define @t309 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t20 @t1) @t308)) % 0.51/1.01 (define @t310 () (= @t308 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t83 @t1))) % 0.51/1.01 (define @t311 () (= @t4 @t2)) % 0.51/1.01 (define @t312 () (@list @t33 @t29 @t1)) % 0.51/1.01 (define @t313 () (not @t172)) % 0.51/1.01 (define @t314 () (not @t171)) % 0.51/1.01 (define @t315 () (@list @t1 @t9 @t12 @t2)) % 0.51/1.01 (define @t316 () (tptp.c_lessequals @t2 @t61 @t1)) % 0.51/1.01 (define @t317 () (tptp.c_lessequals @t3 @t61 @t1)) % 0.51/1.01 (define @t318 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t29 @t27)) % 0.51/1.01 (define @t319 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t318 @t27)) % 0.51/1.01 (define @t320 () (@list @t50 @t20 @t1 @t53)) % 0.51/1.01 (define @t321 () (tptp.c_Set_Ovimage @t50 @t33 @t53 @t1)) % 0.51/1.01 (define @t322 () (not (= @t35 @t37))) % 0.51/1.01 (define @t323 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t33 @t1) @t90))) % 0.51/1.01 (define @t324 () (@list @t1 @t29 @t33)) % 0.51/1.01 (define @t325 () (not @t155)) % 0.51/1.01 (define @t326 () (not @t16)) % 0.51/1.01 (define @t327 () (tptp.c_lessequals @t15 @t2 @t1)) % 0.51/1.01 (define @t328 () (not @t24)) % 0.51/1.01 (define @t329 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t28 @t27)) % 0.51/1.01 (define @t330 () (= @t61 @t157)) % 0.51/1.01 (define @t331 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t61 @t1) @t61)) % 0.51/1.01 (define @t332 () (tptp.c_Set_Ovimage @t50 @t33 @t1 @t53)) % 0.51/1.01 (define @t333 () (tptp.c_Set_Ovimage @t50 @t29 @t1 @t53)) % 0.51/1.01 (define @t334 () (@list @t50 @t2 @t3 @t1 @t53)) % 0.51/1.01 (define @t335 () (tptp.c_lessequals @t29 @t116 @t27)) % 0.51/1.01 (define @t336 () (tptp.c_lessequals @t86 @t28 @t27)) % 0.51/1.01 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t2 @t167 @t1)) % 0.51/1.01 (define @t338 () (tptp.hAPP @t243 @t207)) % 0.51/1.01 (define @t339 () (not @t245)) % 0.51/1.01 (define @t340 () (tptp.hAPP @t243 @t108)) % 0.51/1.01 (define @t341 () (tptp.hBOOL (tptp.hAPP @t340 @t29))) % 0.51/1.01 (define @t342 () (not @t341)) % 0.51/1.01 (define @t343 () (tptp.hBOOL (tptp.hAPP @t340 @t33))) % 0.51/1.01 (define @t344 () (@list @t1 @t108 @t33 @t29)) % 0.51/1.01 (define @t345 () (tptp.hBOOL (tptp.hAPP @t340 @t35))) % 0.51/1.01 (define @t346 () (@list @t1 @t108 @t29 @t33)) % 0.51/1.01 (define @t347 () (not @t343)) % 0.51/1.01 (define @t348 () (tptp.c_Natural_Oevalc @t108)) % 0.51/1.01 (define @t349 () (tptp.c_fequal tptp.tc_Com_Ostate)) % 0.51/1.01 (define @t350 () (tptp.c_Hoare__Mirabelle_OMGT @t108)) % 0.51/1.01 (define @t351 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__Un__1__3 @t29 @t33 @t192 @t1)) % 0.51/1.01 (define @t352 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t351) @t35))) % 0.51/1.01 (define @t353 () (tptp.hAPP @t243 @t206)) % 0.51/1.01 (define @t354 () (not (tptp.hBOOL (tptp.hAPP @t353 @t29)))) % 0.51/1.01 (define @t355 () (tptp.hBOOL (tptp.hAPP @t192 @t206))) % 0.51/1.01 (define @t356 () (not @t355)) % 0.51/1.01 (define @t357 () (@list @t2 @t29 @t1)) % 0.51/1.01 (define @t358 () (= @t29 @t277)) % 0.51/1.01 (define @t359 () (tptp.c_fequal @t1)) % 0.51/1.01 (define @t360 () (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC @t359 @t1 @t1 tptp.tc_bool) @t9) @t1)) % 0.51/1.01 (define @t361 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t275 @t27)) % 0.51/1.01 (define @t362 () (tptp.c_lessequals @t361 @t33 @t27)) % 0.51/1.01 (define @t363 () (not @t362)) % 0.51/1.01 (define @t364 () (tptp.c_Set_Oimage @t50 @t29 @t1 @t1)) % 0.51/1.01 (define @t365 () (tptp.c_Fun_Oinj__on @t50 @t29 @t1 @t1)) % 0.51/1.01 (define @t366 () (@list @t50 @t29 @t1)) % 0.51/1.01 (define @t367 () (tptp.c_COMBK @t108 @t53 @t1)) % 0.51/1.01 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t29 @t247 @t27)) % 0.51/1.01 (define @t369 () (not @t368)) % 0.51/1.01 (define @t370 () (not (tptp.c_Fun_Oinj__on @t50 @t28 @t1 @t53))) % 0.51/1.01 (define @t371 () (@list @t50 @t29 @t33 @t1 @t53 @t28)) % 0.51/1.01 (define @t372 () (tptp.c_Set_Oinsert @t9 @t33 @t53)) % 0.51/1.01 (define @t373 () (@list @t50 @t9 @t33 @t53 @t1)) % 0.51/1.01 (define @t374 () (tptp.c_Set_Oimage @t50 @t86 @t1 @t53)) % 0.51/1.01 (define @t375 () (@var "V_m2" $$unsorted)) % 0.51/1.01 (define @t376 () (@var "V_m1" $$unsorted)) % 0.51/1.01 (define @t377 () (not (tptp.c_Map_Omap__le @t376 @t375 @t1 @t53))) % 0.51/1.01 (define @t378 () (tptp.c_HOL_Oord__class_Oless @t361 @t33 @t27)) % 0.51/1.01 (define @t379 () (not @t378)) % 0.51/1.01 (define @t380 () (@var "V_fun_H" $$unsorted)) % 0.51/1.01 (define @t381 () (tptp.c_Com_Ocom_OWhile @t380 @t43)) % 0.51/1.01 (define @t382 () (@list @t380 @t43)) % 0.51/1.01 (define @t383 () (@var "V_fun" $$unsorted)) % 0.51/1.01 (define @t384 () (tptp.c_Com_Ocom_OWhile @t383 @t45)) % 0.51/1.01 (define @t385 () (@var "V_pname_H" $$unsorted)) % 0.51/1.01 (define @t386 () (tptp.c_Com_Ocom_OBODY @t385)) % 0.51/1.01 (define @t387 () (tptp.c_Finite__Set_Ofinite @t86 @t1)) % 0.51/1.01 (define @t388 () (@var "V_loc" $$unsorted)) % 0.51/1.01 (define @t389 () (tptp.c_Com_Ocom_OLocal @t388 @t383 @t45)) % 0.51/1.01 (define @t390 () (@list @t50 @t29 @t33 @t1 @t53)) % 0.51/1.01 (define @t391 () (@var "V_s" $$unsorted)) % 0.51/1.01 (define @t392 () (tptp.hBOOL (tptp.hAPP @t12 @t391))) % 0.51/1.01 (define @t393 () (tptp.c_Com_Ocom_OWhile @t12 @t108)) % 0.51/1.01 (define @t394 () (tptp.c_Natural_Oevalc @t393)) % 0.51/1.01 (define @t395 () (tptp.hAPP @t394 @t391)) % 0.51/1.01 (define @t396 () (tptp.c_Collect @t192 @t1)) % 0.51/1.01 (define @t397 () (@var "V_vname" $$unsorted)) % 0.51/1.01 (define @t398 () (tptp.c_Com_Ocom_OAss @t397 @t383)) % 0.51/1.01 (define @t399 () (@var "V_com2_H" $$unsorted)) % 0.51/1.01 (define @t400 () (@var "V_com2" $$unsorted)) % 0.51/1.01 (define @t401 () (= @t400 @t399)) % 0.51/1.01 (define @t402 () (@var "V_com1_H" $$unsorted)) % 0.51/1.01 (define @t403 () (tptp.c_Com_Ocom_OSemi @t402 @t399)) % 0.51/1.01 (define @t404 () (@var "V_com1" $$unsorted)) % 0.51/1.01 (define @t405 () (tptp.c_Com_Ocom_OSemi @t404 @t400)) % 0.51/1.01 (define @t406 () (not (= @t405 @t403))) % 0.51/1.01 (define @t407 () (@list @t404 @t400 @t402 @t399)) % 0.51/1.01 (define @t408 () (= @t404 @t402)) % 0.51/1.01 (define @t409 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t124 @t27)) % 0.51/1.01 (define @t410 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t272 @t27)) % 0.51/1.01 (define @t411 () (tptp.c_Com_Ocom_OCond @t380 @t402 @t399)) % 0.51/1.01 (define @t412 () (not @t387)) % 0.51/1.01 (define @t413 () (tptp.hAPP @t50 @t9)) % 0.51/1.01 (define @t414 () (tptp.c_in @t51)) % 0.51/1.01 (define @t415 () (tptp.c_Set_Oinsert @t9 @t118 @t1)) % 0.51/1.01 (define @t416 () (@var "V_h" $$unsorted)) % 0.51/1.01 (define @t417 () (tptp.c_Map_Omap__le @t300 @t416 @t1 @t53)) % 0.51/1.01 (define @t418 () (tptp.c_Map_Omap__le @t71 @t416 @t1 @t53)) % 0.51/1.01 (define @t419 () (@list @t50 @t1 @t53)) % 0.51/1.01 (define @t420 () (@var "V_m3" $$unsorted)) % 0.51/1.01 (define @t421 () (@var "V_loc_H" $$unsorted)) % 0.51/1.01 (define @t422 () (tptp.c_Com_Ocom_OLocal @t421 @t380 @t43)) % 0.51/1.01 (define @t423 () (tptp.c_Set_Oinsert @t3 @t29 @t1)) % 0.51/1.01 (define @t424 () (tptp.hBOOL (tptp.hAPP @t423 @t2))) % 0.51/1.01 (define @t425 () (= @t104 @t37)) % 0.51/1.01 (define @t426 () (tptp.c_Com_Ocom_OCond @t383 @t404 @t400)) % 0.51/1.01 (define @t427 () (tptp.c_Finite__Set_Ofinite @t273 @t1)) % 0.51/1.01 (define @t428 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 0.51/1.01 (define @t429 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.tc_Com_Ostate)) % 0.51/1.01 (define @t430 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t429 tptp.tc_bool))) % 0.51/1.01 (define @t431 () (tptp.v_sko__Hoare__Mirabelle__XMGF__lemma1__1 @t93)) % 0.51/1.01 (define @t432 () (tptp.c_Com_OWT @t108)) % 0.51/1.01 (define @t433 () (not @t432)) % 0.51/1.01 (define @t434 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert @t350 @t430 @t429) tptp.tc_Com_Ostate)) % 0.51/1.01 (define @t435 () (@list @t93 @t108)) % 0.51/1.01 (define @t436 () (@var "V_top" $$unsorted)) % 0.51/1.01 (define @t437 () (@var "V_bot" $$unsorted)) % 0.51/1.01 (define @t438 () (@var "V_sup" $$unsorted)) % 0.51/1.01 (define @t439 () (@var "V_inf" $$unsorted)) % 0.51/1.01 (define @t440 () (@var "V_less" $$unsorted)) % 0.51/1.01 (define @t441 () (@var "V_less__eq" $$unsorted)) % 0.51/1.01 (define @t442 () (@var "V_Sup" $$unsorted)) % 0.51/1.01 (define @t443 () (@var "V_Inf" $$unsorted)) % 0.51/1.01 (define @t444 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t443 @t442 @t441 @t440 @t439 @t438 @t437 @t436 @t1))) % 0.51/1.01 (define @t445 () (tptp.hAPP @t438 @t9)) % 0.51/1.01 (define @t446 () (tptp.c_Set_Oinsert @t12 @t37 @t1)) % 0.51/1.01 (define @t447 () (tptp.c_Set_Oinsert @t9 @t446 @t1)) % 0.51/1.01 (define @t448 () (tptp.hAPP @t439 @t9)) % 0.51/1.01 (define @t449 () (not (= @t426 @t411))) % 0.51/1.01 (define @t450 () (@list @t383 @t404 @t400 @t380 @t402 @t399)) % 0.51/1.01 (define @t451 () (= @t383 @t380)) % 0.51/1.01 (define @t452 () (tptp.c_Option_Ooption_ONone @t1)) % 0.51/1.01 (define @t453 () (@var "V_a_H" $$unsorted)) % 0.51/1.01 (define @t454 () (tptp.c_Option_Ooption_OSome @t453 @t1)) % 0.51/1.01 (define @t455 () (tptp.c_Map_Omap__add @t376 @t375 @t1 @t53)) % 0.51/1.01 (define @t456 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t23 @t1)) % 0.51/1.01 (define @t457 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t20 @t1) @t456)) % 0.51/1.01 (define @t458 () (= @t456 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t147 @t1))) % 0.51/1.01 (define @t459 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t159 @t27)) % 0.51/1.01 (define @t460 () (tptp.tc_Hoare__Mirabelle_Otriple @t1)) % 0.51/1.01 (define @t461 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t460 tptp.tc_bool))) % 0.51/1.01 (define @t462 () (@var "V_pn" $$unsorted)) % 0.51/1.01 (define @t463 () (tptp.hAPP tptp.c_Com_Obody @t462)) % 0.51/1.01 (define @t464 () (tptp.c_Option_Othe @t463 tptp.tc_Com_Ocom)) % 0.51/1.01 (define @t465 () (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t192 @t464 @t191 @t1) @t461 @t460)) % 0.51/1.01 (define @t466 () (tptp.c_Com_Ocom_OBODY @t462)) % 0.51/1.01 (define @t467 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t192 @t466 @t191 @t1)) % 0.51/1.01 (define @t468 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert @t467 @t461 @t460) @t1)) % 0.51/1.01 (define @t469 () (@list @t93 @t192 @t462 @t191 @t1)) % 0.51/1.01 (define @t470 () (tptp.c_Finite__Set_Osetsum @t50 @t410 @t1 @t53)) % 0.51/1.01 (define @t471 () (= @t470 (tptp.c_HOL_Ominus__class_Ominus @t238 @t413 @t53))) % 0.51/1.01 (define @t472 () (@list @t53 @t50 @t29 @t9 @t1)) % 0.51/1.01 (define @t473 () (tptp.c_Com_Ocom_OBODY @t192)) % 0.51/1.01 (define @t474 () (tptp.hAPP tptp.c_Com_Obody @t192)) % 0.51/1.01 (define @t475 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t374 (tptp.c_Set_Oimage @t50 @t318 @t1 @t53) @t210) @t277)) % 0.51/1.01 (define @t476 () (@var "V_e2" $$unsorted)) % 0.51/1.01 (define @t477 () (tptp.hAPP @t243 @t111)) % 0.51/1.01 (define @t478 () (@var "V_u1" $$unsorted)) % 0.51/1.01 (define @t479 () (tptp.c_Option_Ooption_OSome @t478 @t53)) % 0.51/1.01 (define @t480 () (@var "V_e1" $$unsorted)) % 0.51/1.01 (define @t481 () (@list @t50 @t20 @t29 @t2 @t3 @t1 @t53)) % 0.51/1.01 (define @t482 () (@list @t29 @t2 @t1 @t33)) % 0.51/1.01 (define @t483 () (tptp.c_Map_Odom @t50 @t53 @t1)) % 0.51/1.01 (define @t484 () (tptp.c_Hoare__Mirabelle_OMGT @t466)) % 0.51/1.01 (define @t485 () (tptp.c_HOL_Ominus__class_Ominus @t138 @t33 @t27)) % 0.51/1.01 (define @t486 () (tptp.c_Fun_Oinj__on @t50 @t273 @t1 @t53)) % 0.51/1.01 (define @t487 () (not @t486)) % 0.51/1.01 (define @t488 () (tptp.hAPP @t243 @t12)) % 0.51/1.01 (define @t489 () (not (= @t118 @t37))) % 0.51/1.01 (define @t490 () (tptp.hBOOL (tptp.hAPP @t244 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t396 @t27)))) % 0.51/1.01 (define @t491 () (not @t490)) % 0.51/1.01 (define @t492 () (tptp.hAPP @t255 @t413)) % 0.51/1.01 (define @t493 () (tptp.hBOOL (tptp.hAPP @t492 (tptp.c_Set_Oimage @t50 @t410 @t1 @t53)))) % 0.51/1.01 (define @t494 () (@var "V_s0" $$unsorted)) % 0.51/1.01 (define @t495 () (@var "V_s1" $$unsorted)) % 0.51/1.01 (define @t496 () (@var "V_s2" $$unsorted)) % 0.51/1.01 (define @t497 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.51/1.01 (define @t498 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.51/1.01 (define @t499 () (tptp.c_Set_Oimage @t50 @t277 @t53 @t1)) % 0.51/1.01 (define @t500 () (@list @t50 @t53 @t1)) % 0.51/1.01 (define @t501 () (not @t392)) % 0.51/1.01 (define @t502 () (@var "V_c0" $$unsorted)) % 0.51/1.01 (define @t503 () (tptp.c_Natural_Oevalc @t502)) % 0.51/1.01 (define @t504 () (@var "V_c1" $$unsorted)) % 0.51/1.01 (define @t505 () (tptp.c_Com_Ocom_OCond @t12 @t502 @t504)) % 0.51/1.01 (define @t506 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t505) @t391) @t495))) % 0.51/1.01 (define @t507 () (@list @t12 @t502 @t504 @t391 @t495)) % 0.51/1.01 (define @t508 () (@var "V_c2" $$unsorted)) % 0.51/1.01 (define @t509 () (tptp.c_Com_Ocom_OCond @t12 @t504 @t508)) % 0.51/1.01 (define @t510 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t509) @t391) @t207)))) % 0.51/1.01 (define @t511 () (tptp.c_Natural_Oevalc @t504)) % 0.51/1.01 (define @t512 () (tptp.hAPP @t511 @t391)) % 0.51/1.01 (define @t513 () (tptp.hBOOL (tptp.hAPP @t512 @t207))) % 0.51/1.01 (define @t514 () (tptp.c_Com_Ocom_OSemi @t502 @t504)) % 0.51/1.01 (define @t515 () (= @t4 @t152)) % 0.51/1.01 (define @t516 () (@list @t380 @t402 @t399)) % 0.51/1.01 (define @t517 () (tptp.c_Set_Oinsert @t9 @t410 @t1)) % 0.51/1.01 (define @t518 () (tptp.hAPP @t233 @t208)) % 0.51/1.01 (define @t519 () (= @t518 @t205)) % 0.51/1.01 (define @t520 () (tptp.hAPP @t111 @t208)) % 0.51/1.01 (define @t521 () (= @t520 @t205)) % 0.51/1.01 (define @t522 () (tptp.hAPP (tptp.c_Map_Omap__add @t111 @t233 @t53 @t1) @t208)) % 0.51/1.01 (define @t523 () (= @t522 @t205)) % 0.51/1.01 (define @t524 () (not @t523)) % 0.51/1.01 (define @t525 () (@list @t111 @t233 @t53 @t1 @t208 @t2)) % 0.51/1.01 (define @t526 () (= @t518 @t452)) % 0.51/1.01 (define @t527 () (not @t526)) % 0.51/1.01 (define @t528 () (= @t520 @t452)) % 0.51/1.01 (define @t529 () (= @t522 @t452)) % 0.51/1.01 (define @t530 () (not @t529)) % 0.51/1.01 (define @t531 () (@list @t111 @t233 @t53 @t1 @t208)) % 0.51/1.01 (define @t532 () (@var "V_ts" $$unsorted)) % 0.51/1.01 (define @t533 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert @t207 @t532 @t460) @t1)) % 0.51/1.01 (define @t534 () (not @t533)) % 0.51/1.01 (define @t535 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert @t207 @t461 @t460) @t1)) % 0.51/1.01 (define @t536 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t124 @t27)) % 0.51/1.01 (define @t537 () (tptp.hBOOL (tptp.hAPP @t265 @t28))) % 0.51/1.01 (define @t538 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t28 @t27)) % 0.51/1.01 (define @t539 () (@var "V_pname" $$unsorted)) % 0.51/1.01 (define @t540 () (not (= @t384 @t381))) % 0.51/1.01 (define @t541 () (@list @t383 @t45 @t380 @t43)) % 0.51/1.01 (define @t542 () (@list @t1 @t2 @t29 @t192)) % 0.51/1.01 (define @t543 () (@var "V_xx" $$unsorted)) % 0.51/1.01 (define @t544 () (tptp.c_Option_Ooption_OSome @t543 @t1)) % 0.51/1.01 (define @t545 () (@list @t53 @t50 @t9 @t29 @t1)) % 0.51/1.01 (define @t546 () (@list @t385)) % 0.51/1.01 (define @t547 () (tptp.hBOOL (tptp.hAPP @t118 @t2))) % 0.51/1.01 (define @t548 () (not @t547)) % 0.51/1.01 (define @t549 () (tptp.c_Map_Omap__add @t71 @t50 @t1 @t53)) % 0.51/1.01 (define @t550 () (@list @t50 @t71 @t1 @t53)) % 0.51/1.01 (define @t551 () (tptp.hAPP (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP) @t391)) % 0.51/1.01 (define @t552 () (= @t207 @t391)) % 0.51/1.01 (define @t553 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t94 @t93 @t27) @t1)) % 0.51/1.01 (define @t554 () (tptp.c_Map_Omap__le @t50 @t300 @t1 @t53)) % 0.51/1.01 (define @t555 () (not @t554)) % 0.51/1.01 (define @t556 () (tptp.c_ATP__Linkup_Osko__Set__XbexCI__1__1 @t29 @t192 @t1)) % 0.51/1.01 (define @t557 () (tptp.hBOOL (tptp.hAPP @t192 @t556))) % 0.51/1.01 (define @t558 () (tptp.hBOOL (tptp.hAPP @t340 @t118))) % 0.51/1.01 (define @t559 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 @t29 @t192 @t1)) % 0.51/1.01 (define @t560 () (not (tptp.hBOOL (tptp.hAPP @t192 @t559)))) % 0.51/1.01 (define @t561 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__3 @t29 @t191 @t1)) % 0.51/1.01 (define @t562 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t561) @t29))) % 0.51/1.01 (define @t563 () (@var "V_xb" $$unsorted)) % 0.51/1.01 (define @t564 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t563) @t29)))) % 0.51/1.01 (define @t565 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t559) @t29))) % 0.51/1.01 (define @t566 () (not (tptp.hBOOL (tptp.hAPP @t191 @t561)))) % 0.51/1.01 (define @t567 () (@var "V_l" $$unsorted)) % 0.51/1.01 (define @t568 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t441 @t567) @t262))) % 0.51/1.01 (define @t569 () (not @t568)) % 0.51/1.01 (define @t570 () (@var "V_u" $$unsorted)) % 0.51/1.01 (define @t571 () (tptp.hAPP @t440 @t262)) % 0.51/1.01 (define @t572 () (tptp.hBOOL (tptp.hAPP @t571 @t570))) % 0.51/1.01 (define @t573 () (not @t572)) % 0.51/1.01 (define @t574 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OatLeastLessThan @t441 @t440 @t567 @t570 @t1)))) % 0.51/1.01 (define @t575 () (@list @t1 @t262 @t441 @t440 @t567 @t570)) % 0.51/1.01 (define @t576 () (tptp.hBOOL (tptp.hAPP @t265 (tptp.c_Set_Oinsert @t12 @t29 @t1)))) % 0.51/1.01 (define @t577 () (tptp.hAPP @t441 @t262)) % 0.51/1.01 (define @t578 () (tptp.hBOOL (tptp.hAPP @t577 @t570))) % 0.51/1.01 (define @t579 () (not @t578)) % 0.51/1.01 (define @t580 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OatLeastAtMost @t441 @t567 @t570 @t1)))) % 0.51/1.01 (define @t581 () (tptp.hBOOL (tptp.hAPP @t192 @t9))) % 0.51/1.01 (define @t582 () (not @t581)) % 0.51/1.01 (define @t583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t556) @t29))) % 0.51/1.01 (define @t584 () (not (tptp.hBOOL (tptp.hAPP @t244 @t37)))) % 0.51/1.01 (define @t585 () (@list @t192 @t2 @t1)) % 0.51/1.01 (define @t586 () (@list @t1 @t9)) % 0.51/1.01 (define @t587 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t440 @t567) @t262))) % 0.51/1.01 (define @t588 () (not @t587)) % 0.51/1.01 (define @t589 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t440 @t567 @t570 @t1)))) % 0.51/1.01 (define @t590 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t441 @t440 @t567 @t570 @t1)))) % 0.51/1.01 (define @t591 () (tptp.hBOOL (tptp.hAPP @t340 @t86))) % 0.51/1.01 (define @t592 () (not @t591)) % 0.51/1.01 (define @t593 () (tptp.c_ATP__Linkup_Osko__Set__XbexI__1__1 @t29 @t192 @t1)) % 0.51/1.01 (define @t594 () (@list @t192 @t29 @t1 @t2)) % 0.51/1.01 (define @t595 () (= @t300 @t549)) % 0.51/1.01 (define @t596 () (tptp.c_HOL_Ominus__class_Ominus @t145 @t159 @t27)) % 0.51/1.01 (define @t597 () (@list @t421 @t380 @t43)) % 0.51/1.01 (define @t598 () (tptp.hAPP @t348 @t391)) % 0.51/1.01 (define @t599 () (tptp.c_HOL_Oord__class_Oless @t15 @t2 @t1)) % 0.51/1.01 (define @t600 () (@var "V_m_092_060_094isub_0622" $$unsorted)) % 0.51/1.01 (define @t601 () (@var "V_m_092_060_094isub_0621" $$unsorted)) % 0.51/1.01 (define @t602 () (tptp.c_Map_Omap__le @t601 @t600 @t1 @t53)) % 0.51/1.01 (define @t603 () (tptp.c_Map_Osko__Map__Xmap__le__def__1__1 @t601 @t600 @t1 @t53)) % 0.51/1.01 (define @t604 () (@list @t601 @t600 @t1 @t53)) % 0.51/1.01 (define @t605 () (= @t9 @t110)) % 0.51/1.01 (define @t606 () (not (= @t447 (tptp.c_Set_Oinsert @t108 (tptp.c_Set_Oinsert @t110 @t37 @t1) @t1)))) % 0.51/1.01 (define @t607 () (@list @t9 @t12 @t1 @t108 @t110)) % 0.51/1.01 (define @t608 () (= @t12 @t108)) % 0.51/1.01 (define @t609 () (= @t12 @t110)) % 0.51/1.01 (define @t610 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t508) @t391) @t207))) % 0.51/1.01 (define @t611 () (@var "V_vname_H" $$unsorted)) % 0.51/1.01 (define @t612 () (tptp.c_Com_Ocom_OAss @t611 @t380)) % 0.51/1.01 (define @t613 () (@list @t611 @t380)) % 0.51/1.01 (define @t614 () (tptp.hAPP @t442 @t29)) % 0.51/1.01 (define @t615 () (tptp.hAPP @t443 @t29)) % 0.51/1.01 (define @t616 () (not (tptp.hBOOL (tptp.hAPP @t353 @t104)))) % 0.51/1.01 (define @t617 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3 @t29 @t33 @t192 @t53 @t1)) % 0.51/1.01 (define @t618 () (@var "V_G_H" $$unsorted)) % 0.51/1.01 (define @t619 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 @t532 @t1)) % 0.51/1.01 (define @t620 () (not (= @t398 @t612))) % 0.51/1.01 (define @t621 () (@list @t397 @t383 @t611 @t380)) % 0.51/1.01 (define @t622 () (@list @t402 @t399)) % 0.51/1.01 (define @t623 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t4 @t1) @t4)) % 0.51/1.01 (define @t624 () (not (= @t389 @t422))) % 0.51/1.01 (define @t625 () (@list @t388 @t383 @t45 @t421 @t380 @t43)) % 0.51/1.01 (define @t626 () (tptp.c_Finite__Set_Ofinite @t409 @t1)) % 0.51/1.01 (define @t627 () (tptp.hBOOL (tptp.hAPP @t333 @t2))) % 0.51/1.01 (define @t628 () (tptp.hBOOL (tptp.hAPP @t29 @t52))) % 0.51/1.01 (define @t629 () (tptp.c_HOL_Oord__class_Oless @t214 @t215 @t1)) % 0.51/1.01 (define @t630 () (not @t226)) % 0.51/1.01 (define @t631 () (not @t229)) % 0.51/1.01 (define @t632 () (tptp.c_ATP__Linkup_Osko__Set__XbexE__1__1 @t29 @t192 @t1)) % 0.51/1.01 (define @t633 () (not @t590)) % 0.51/1.01 (define @t634 () (@var "V_xc" $$unsorted)) % 0.51/1.01 (define @t635 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t634) @t29)))) % 0.51/1.01 (define @t636 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1 @t29 @t192 @t191 @t1)) % 0.51/1.01 (define @t637 () (not (tptp.hBOOL (tptp.hAPP @t192 @t636)))) % 0.51/1.01 (define @t638 () (not (tptp.hBOOL (tptp.hAPP @t191 @t636)))) % 0.51/1.01 (define @t639 () (@var "V_xf" $$unsorted)) % 0.51/1.01 (define @t640 () (@var "V_xg" $$unsorted)) % 0.51/1.01 (define @t641 () (tptp.c_ATP__Linkup_Osko__Set__XballE__1__1 @t29 @t192 @t1)) % 0.51/1.01 (define @t642 () (not @t589)) % 0.51/1.01 (define @t643 () (not @t558)) % 0.51/1.01 (define @t644 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t3) @t29)))) % 0.51/1.01 (define @t645 () (not (= @t52 (tptp.hAPP @t50 @t3)))) % 0.51/1.01 (define @t646 () (@list @t50 @t2 @t3 @t1 @t29 @t53)) % 0.51/1.01 (define @t647 () (= @t2 @t206)) % 0.51/1.01 (define @t648 () (tptp.hBOOL (tptp.hAPP @t265 @t396))) % 0.51/1.01 (define @t649 () (tptp.hBOOL (tptp.hAPP @t577 @t208))) % 0.51/1.01 (define @t650 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OatMost @t441 @t208 @t1)))) % 0.51/1.01 (define @t651 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t636) @t29))) % 0.51/1.01 (define @t652 () (@var "V_xd" $$unsorted)) % 0.51/1.01 (define @t653 () (@var "V_xe" $$unsorted)) % 0.51/1.01 (define @t654 () (@list @t1 @t29 @t192 @t2)) % 0.51/1.01 (define @t655 () (tptp.hAPP @t255 @t12)) % 0.51/1.01 (define @t656 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t440 @t208) @t262))) % 0.51/1.01 (define @t657 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OgreaterThan @t440 @t208 @t1)))) % 0.51/1.01 (define @t658 () (@list @t1 @t262 @t440 @t208)) % 0.51/1.01 (define @t659 () (tptp.hBOOL (tptp.hAPP @t492 @t33))) % 0.51/1.01 (define @t660 () (tptp.hBOOL (tptp.hAPP @t265 @t332))) % 0.51/1.01 (define @t661 () (tptp.hAPP @t243 @t413)) % 0.51/1.01 (define @t662 () (tptp.hAPP @t255 @t9)) % 0.51/1.01 (define @t663 () (not @t580)) % 0.51/1.01 (define @t664 () (tptp.hBOOL (tptp.hAPP @t192 @t351))) % 0.51/1.01 (define @t665 () (tptp.hBOOL (tptp.hAPP @t571 @t208))) % 0.51/1.01 (define @t666 () (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_SetInterval_Oord_OlessThan @t440 @t208 @t1)))) % 0.51/1.01 (define @t667 () (tptp.hAPP @t104 @t12)) % 0.51/1.01 (define @t668 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t33 @t1 (tptp.tc_fun @t53 (tptp.tc_fun @t162 tptp.tc_bool))) @t12) @t108))) % 0.51/1.01 (define @t669 () (tptp.hBOOL (tptp.hAPP @t268 @t12))) % 0.51/1.01 (define @t670 () (tptp.hAPP @t269 @t12)) % 0.51/1.01 (define @t671 () (not @t574)) % 0.51/1.01 (define @t672 () (tptp.c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1 @t29 @t192 @t1)) % 0.51/1.01 (define @t673 () (tptp.hBOOL (tptp.hAPP @t259 @t223))) % 0.51/1.02 (define @t674 () (tptp.hBOOL (tptp.hAPP @t265 @t301))) % 0.51/1.02 (define @t675 () (not @t674)) % 0.51/1.02 (define @t676 () (tptp.hAPP @t111 @t9)) % 0.51/1.02 (define @t677 () (tptp.c_Map_Odom @t601 @t1 @t53)) % 0.51/1.02 (define @t678 () (tptp.c_Option_Othe @t205 @t1)) % 0.51/1.02 (define @t679 () (forall @t185 (= @t678 @t2))) % 0.51/1.02 (define @t680 () (not (tptp.c_Com_OWT @t509))) % 0.51/1.02 (define @t681 () (tptp.c_Com_OWT @t504)) % 0.51/1.02 (define @t682 () (tptp.c_Com_OWT @t508)) % 0.51/1.02 (define @t683 () (not (tptp.c_Com_OWT @t502))) % 0.51/1.02 (define @t684 () (not @t681)) % 0.51/1.02 (define @t685 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t504 @t508)))) % 0.51/1.02 (define @t686 () (@var "V_X" $$unsorted)) % 0.51/1.02 (define @t687 () (tptp.c_Com_OWT @t393)) % 0.51/1.02 (define @t688 () (@var "V_Y" $$unsorted)) % 0.51/1.02 (define @t689 () (tptp.c_Com_OWT (tptp.c_Com_Ocom_OLocal @t688 @t9 @t108))) % 0.51/1.02 (define @t690 () (tptp.c_Map_Odom tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.51/1.02 (define @t691 () (tptp.c_in tptp.tc_Com_Opname)) % 0.51/1.02 (define @t692 () (@var "V_l2" $$unsorted)) % 0.51/1.02 (define @t693 () (tptp.hBOOL (tptp.hAPP @t477 (tptp.c_Map_Odom @t692 @t1 @t53)))) % 0.51/1.02 (define @t694 () (@var "V_l1" $$unsorted)) % 0.51/1.02 (define @t695 () (tptp.hAPP (tptp.c_Map_Omap__add @t694 @t692 @t1 @t53) @t111)) % 0.51/1.02 (define @t696 () (@list @t694 @t692 @t1 @t53 @t111)) % 0.51/1.02 (define @t697 () (= @t695 (tptp.hAPP @t692 @t111))) % 0.51/1.02 (define @t698 () (= @t676 @t302)) % 0.51/1.02 (define @t699 () (tptp.c_Com_OWT @t12)) % 0.51/1.02 (define @t700 () (not tptp.c_Com_OWT__bodies)) % 0.51/1.02 (define @t701 () (not (= @t463 (tptp.c_Option_Ooption_OSome @t12 tptp.tc_Com_Ocom)))) % 0.51/1.02 (define @t702 () (or @t701 @t700 @t699)) % 0.51/1.02 (define @t703 () (@list @t462 @t12)) % 0.51/1.02 (define @t704 () (forall @t703 @t702)) % 0.51/1.02 (define @t705 () (tptp.hBOOL (tptp.hAPP @t279 @t2))) % 0.51/1.02 (define @t706 () (tptp.hBOOL (tptp.hAPP @t244 @t279))) % 0.51/1.02 (define @t707 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 tptp.v_pn) @t690))) % 0.51/1.02 (define @t708 () (tptp.hAPP tptp.c_Com_Obody tptp.v_pn)) % 0.51/1.02 (define @t709 () (tptp.c_Com_OWT (tptp.c_Option_Othe @t708 tptp.tc_Com_Ocom))) % 0.51/1.02 (define @t710 () (not @t709)) % 0.51/1.02 (define @t711 () (@var "T_1" $$unsorted)) % 0.51/1.02 (define @t712 () (@var "T_2" $$unsorted)) % 0.51/1.02 (define @t713 () (tptp.tc_fun @t712 @t711)) % 0.51/1.02 (define @t714 () (@list @t712 @t711)) % 0.51/1.02 (define @t715 () (not (tptp.class_Lattices_Olattice @t711))) % 0.51/1.02 (define @t716 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t711))) % 0.51/1.02 (define @t717 () (not @t707)) % 0.51/1.02 (define @t718 () (tptp.c_Map_Osko__Map__XdomD__1__1 tptp.v_pn tptp.c_Com_Obody tptp.tc_Com_Opname tptp.tc_Com_Ocom)) % 0.51/1.02 (define @t719 () (tptp.c_Option_Ooption_OSome @t718 tptp.tc_Com_Ocom)) % 0.51/1.02 (define @t720 () (= @t708 @t719)) % 0.51/1.02 (define @t721 () (or @t720 @t717)) % 0.51/1.02 (define @t722 () (@list false false)) % 0.51/1.02 (define @t723 () (or @t701 @t699)) % 0.51/1.02 (define @t724 () (forall @t703 @t723)) % 0.51/1.02 (define @t725 () (or @t700 @t723)) % 0.51/1.02 (define @t726 () (tptp.c_Com_OWT @t718)) % 0.51/1.02 (define @t727 () (not @t720)) % 0.51/1.02 (define @t728 () (or @t727 @t726)) % 0.51/1.02 (define @t729 () (not @t726)) % 0.51/1.02 (define @t730 () (tptp.c_Option_Othe @t719 tptp.tc_Com_Ocom)) % 0.51/1.02 (define @t731 () (= @t718 @t730)) % 0.51/1.02 (define @t732 () (not @t731)) % 0.51/1.02 (define @t733 () (and @t710 @t720 @t731)) % 0.51/1.02 (assume @p1 (forall @t7 (or @t6 @t5))) % 0.51/1.02 (assume @p2 (forall @t7 (or @t6 @t8))) % 0.51/1.02 (assume @p3 (forall @t17 (or @t6 @t16 @t14 @t11))) % 0.51/1.02 (assume @p4 (forall @t25 (or @t6 @t24 @t22 @t19))) % 0.51/1.02 (assume @p5 (forall @t7 (or @t26 @t8))) % 0.51/1.02 (assume @p6 (forall @t7 (or @t26 @t5))) % 0.51/1.02 (assume @p7 (forall @t36 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t32 @t27) @t27) @t34 @t31))) % 0.51/1.02 (assume @p8 (forall @t38 (tptp.c_lessequals @t37 @t37 @t27))) % 0.51/1.02 (assume @p9 (forall @t40 (or @t39 (not (tptp.c_lessequals @t29 @t37 @t27))))) % 0.51/1.02 (assume @p10 (forall @t48 (or @t47 (= @t42 @t41)))) % 0.51/1.02 (assume @p11 (forall @t48 (or @t47 @t49))) % 0.51/1.02 (assume @p12 (forall @t48 (or @t47 (= @t46 @t44)))) % 0.51/1.02 (assume @p13 (forall (@list @t50 @t2 @t51 @t1) (= (tptp.c_Fun_Ofun__upd @t50 @t2 @t52 @t51 @t1) @t50))) % 0.51/1.02 (assume @p14 (forall (@list @t50 @t2 @t3 @t1 @t51) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t50 @t2 @t3 @t1 @t51) @t2) @t3))) % 0.51/1.02 (assume @p15 (forall (@list @t50 @t2 @t1 @t53) (= (tptp.c_Fun_Ofun__upd @t50 @t2 @t52 @t1 @t53) @t50))) % 0.51/1.02 (assume @p16 (forall (@list @t50 @t2 @t3 @t53 @t1) (= (tptp.hAPP @t54 @t2) @t3))) % 0.51/1.02 (assume @p17 (forall @t55 (= (tptp.c_Fun_Ofun__upd @t50 @t2 @t52 @t53 @t1) @t50))) % 0.51/1.02 (assume @p18 (forall @t58 (or (not @t57) @t56))) % 0.51/1.02 (assume @p19 (forall @t58 (or (= @t35 @t29) @t59))) % 0.51/1.02 (assume @p20 (forall @t58 (or @t57 @t60))) % 0.51/1.02 (assume @p21 (forall @t7 (or @t63 @t62 @t19))) % 0.51/1.02 (assume @p22 (forall @t7 (or @t63 (not @t62) @t18))) % 0.51/1.02 (assume @p23 (forall @t7 (or @t63 (= @t61 @t2) @t65))) % 0.51/1.02 (assume @p24 (forall @t7 (or @t68 @t18 @t67))) % 0.51/1.02 (assume @p25 (forall @t7 (or @t69 @t18 @t67))) % 0.51/1.02 (assume @p26 (forall @t76 (or @t75 @t74 @t73))) % 0.51/1.02 (assume @p27 (forall @t58 (or @t56 @t78))) % 0.51/1.02 (assume @p28 (forall @t7 (or @t26 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t61 @t1) @t2)))) % 0.51/1.02 (assume @p29 (forall @t7 (or @t69 @t79 @t19 @t65))) % 0.51/1.02 (assume @p30 (forall @t7 (or @t69 @t79 @t65 @t19))) % 0.51/1.02 (assume @p31 (forall @t58 (or @t80 @t59 @t60))) % 0.51/1.02 (assume @p32 (forall @t7 (or @t26 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t4 @t1) @t2)))) % 0.51/1.02 (assume @p33 (forall @t76 (or @t75 @t72 @t82 @t81))) % 0.51/1.02 (assume @p34 (forall @t7 (or @t68 @t66 @t64 @t19))) % 0.51/1.02 (assume @p35 (forall @t25 (or @t26 (tptp.c_lessequals @t85 @t84 @t1)))) % 0.51/1.02 (assume @p36 (forall @t36 (or (tptp.c_lessequals @t86 (tptp.c_HOL_Ominus__class_Ominus @t28 @t32 @t27) @t27) (not (tptp.c_lessequals @t32 @t33 @t27)) @t31))) % 0.51/1.02 (assume @p37 (forall @t88 (= (tptp.c_Fun_Ofun__upd @t87 @t2 @t20 @t1 @t53) (tptp.c_Fun_Ofun__upd @t50 @t2 @t20 @t1 @t53)))) % 0.51/1.02 (assume @p38 (forall @t40 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t37 @t27) @t29))) % 0.51/1.02 (assume @p39 (forall @t89 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t33 @t27) @t33))) % 0.51/1.02 (assume @p40 (forall @t92 (or @t91 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t90 @t2 @t1) @t2)))) % 0.51/1.02 (assume @p41 (forall @t92 (or @t91 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t90 @t1) @t2)))) % 0.51/1.02 (assume @p42 (forall (@list @t93 @t1 @t94) (or @t97 @t96))) % 0.51/1.02 (assume @p43 (forall (@list @t94 @t1 @t93) (or @t98 @t96))) % 0.51/1.02 (assume @p44 (forall @t103 (or @t102 @t101))) % 0.51/1.02 (assume @p45 (forall @t103 (or @t102 @t106))) % 0.51/1.02 (assume @p46 (forall @t107 (or @t105 @t100 (not @t102)))) % 0.51/1.02 (assume @p47 (forall (@list @t111 @t9 @t12 @t1 @t53 @t108 @t110) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t111 @t9 @t12 @t1 @t53) @t108 @t110 @t1 @t53) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t111 @t108 @t110 @t1 @t53) @t9 @t12 @t1 @t53)) @t109))) % 0.51/1.02 (assume @p48 (forall (@list @t50 @t9 @t12 @t1 @t53 @t71) (or (tptp.c_Map_Omap__le (tptp.c_Fun_Ofun__upd @t50 @t9 @t12 @t1 @t113) (tptp.c_Fun_Ofun__upd @t71 @t9 @t12 @t1 @t113) @t1 @t53) @t112))) % 0.51/1.02 (assume @p49 (forall @t120 (or @t119 @t115))) % 0.51/1.02 (assume @p50 (forall @t120 (or (not @t119) @t114))) % 0.51/1.02 (assume @p51 (forall @t123 (or @t95 @t122 @t121))) % 0.51/1.02 (assume @p52 (forall (@list @t2 @t20 @t50 @t1 @t53) (or (= @t2 @t20) (not (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t37 @t2 @t1 @t53))))) % 0.51/1.02 (assume @p53 (forall (@list @t33 @t9 @t1) (tptp.c_lessequals @t33 @t124 @t27))) % 0.51/1.02 (assume @p54 (forall (@list @t111 @t2 @t3 @t1 @t9 @t12 @t53) (or (not @t130) @t129 @t128))) % 0.51/1.02 (assume @p55 (forall @t133 (or @t132 @t130 @t131))) % 0.51/1.02 (assume @p56 (forall @t133 (or @t132 @t130 @t129))) % 0.51/1.02 (assume @p57 (forall @t92 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t90 @t2 @t1)))) % 0.51/1.02 (assume @p58 (forall @t134 (tptp.c_lessequals @t37 @t29 @t27))) % 0.51/1.02 (assume @p59 (forall @t135 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t124 @t27) (tptp.c_Set_Oinsert @t9 @t35 @t1)))) % 0.51/1.02 (assume @p60 (forall @t136 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t28 @t27) (tptp.c_Set_Oinsert @t9 @t116 @t1)))) % 0.51/1.02 (assume @p61 (forall (@list @t29 @t12 @t33 @t1) (or (tptp.c_lessequals @t29 @t137 @t27) @t60))) % 0.51/1.02 (assume @p62 (forall @t103 (or @t56 @t140))) % 0.51/1.02 (assume @p63 (forall (@list @t29 @t1 @t50 @t20 @t2 @t53) (or @t141 (not (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t29 @t2 @t1 @t53))))) % 0.51/1.02 (assume @p64 (forall @t144 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t29 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t143 @t142 @t27)))) % 0.51/1.02 (assume @p65 (forall @t146 (= @t117 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t145 @t27)))) % 0.51/1.02 (assume @p66 (forall @t25 (or @t151 (= @t150 @t148)))) % 0.51/1.02 (assume @p67 (forall @t153 (or @t151 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t149 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t152 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t2 @t1) @t1))))) % 0.51/1.02 (assume @p68 (forall (@list @t12 @t3 @t111 @t2 @t51 @t1) (or @t131 (not (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t111 @t2 (tptp.c_Option_Ooption_OSome @t12 @t51) @t1 (tptp.tc_Option_Ooption @t51)) @t2) (tptp.c_Option_Ooption_OSome @t3 @t51)))))) % 0.51/1.02 (assume @p69 (forall @t58 (tptp.c_lessequals @t118 @t29 @t27))) % 0.51/1.02 (assume @p70 (forall @t58 (tptp.c_lessequals @t118 @t33 @t27))) % 0.51/1.02 (assume @p71 (forall @t156 (or @t155 (not @t154) @t115))) % 0.51/1.02 (assume @p72 (forall @t153 (or @t151 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t157 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t2 @t1) @t1))))) % 0.51/1.02 (assume @p73 (forall @t25 (or @t151 (= @t85 @t84)))) % 0.51/1.02 (assume @p74 (forall @t146 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t159 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t158 @t27)))) % 0.51/1.02 (assume @p75 (forall @t144 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t159 @t29 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t161 @t160 @t27)))) % 0.51/1.02 (assume @p76 (forall (@list @t50 @t71 @t29 @t162 @t53 @t1) (= (tptp.c_Set_Oimage @t50 (tptp.c_Set_Oimage @t71 @t29 @t162 @t53) @t53 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t50 @t71 @t53 @t1 @t162) @t29 @t162 @t1)))) % 0.51/1.02 (assume @p77 (forall @t153 (or @t63 @t165 @t164))) % 0.51/1.02 (assume @p78 (forall @t166 (or @t63 @t21 @t164))) % 0.51/1.02 (assume @p79 (forall @t17 (or @t63 @t168 @t14))) % 0.51/1.02 (assume @p80 (forall @t17 (or @t63 @t168 @t11))) % 0.51/1.02 (assume @p81 (forall (@list @t1 @t12 @t2 @t9) (or @t63 @t171 @t170))) % 0.51/1.02 (assume @p82 (forall (@list @t1 @t9 @t2 @t12) (or @t63 @t172 @t170))) % 0.51/1.02 (assume @p83 (forall @t175 (or @t30 @t174))) % 0.51/1.02 (assume @p84 (forall @t144 (or @t176 @t174))) % 0.51/1.02 (assume @p85 (forall @t179 (or @t69 @t178 @t177 @t65))) % 0.51/1.02 (assume @p86 (forall @t179 (or @t69 @t182 @t177 @t181))) % 0.51/1.02 (assume @p87 (forall @t179 (or @t69 @t182 @t183 @t65))) % 0.51/1.02 (assume @p88 (forall @t166 (or @t68 @t21 @t184 @t19))) % 0.51/1.02 (assume @p89 (forall @t185 (tptp.c_lessequals @t2 @t2 @t27))) % 0.51/1.02 (assume @p90 (forall @t40 (tptp.c_lessequals @t29 @t29 @t27))) % 0.51/1.02 (assume @p91 (forall @t175 (or @t30 @t186 @t60))) % 0.51/1.02 (assume @p92 (forall @t190 (or @t189 @t60 @t188))) % 0.51/1.02 (assume @p93 (forall @t197 (or @t196 @t195 @t193))) % 0.51/1.02 (assume @p94 (forall @t92 (or @t69 @t198))) % 0.51/1.02 (assume @p95 (forall @t92 (or @t68 @t198))) % 0.51/1.02 (assume @p96 (forall @t200 (or @t141 @t199 @t60))) % 0.51/1.02 (assume @p97 (forall @t175 (or @t201 @t186 @t78))) % 0.51/1.02 (assume @p98 (forall @t175 (or @t201 @t202 @t60))) % 0.51/1.02 (assume @p99 (forall @t197 (or @t196 @t193 @t195))) % 0.51/1.02 (assume @p100 (forall @t200 (or @t141 @t60 @t199))) % 0.51/1.02 (assume @p101 (forall @t166 (or @t68 @t204 @t203 @t19))) % 0.51/1.02 (assume @p102 (forall @t166 (or @t68 @t204 @t184 @t67))) % 0.51/1.02 (assume @p103 (forall @t36 (or (tptp.c_lessequals @t118 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t32 @t27) @t27) @t34 @t31))) % 0.51/1.02 (assume @p104 (forall (@list @t111 @t206 @t2 @t1 @t51) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t111 @t206 @t205 @t51 @t126) @t206) @t205))) % 0.51/1.02 (assume @p105 (forall (@list @t207 @t208 @t2 @t1 @t53) (or (not (= (tptp.hAPP @t207 @t208) @t205)) (= (tptp.c_Fun_Ofun__upd @t207 @t208 @t205 @t53 @t126) @t207)))) % 0.51/1.02 (assume @p106 (forall (@list @t29 @t33 @t53 @t209 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t211 @t209 @t53 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t209 @t53 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t33 @t209 @t53 @t27) @t27)))) % 0.51/1.02 (assume @p107 (forall (@list @t50 @t2 @t3 @t53 @t1 @t20) (or (= (tptp.hAPP @t54 @t20) @t213) @t212))) % 0.51/1.02 (assume @p108 (forall @t88 (or (= (tptp.hAPP @t87 @t20) @t213) @t212))) % 0.51/1.02 (assume @p109 (forall (@list @t33 @t28 @t29 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t33 (tptp.c_HOL_Ominus__class_Ominus @t28 @t29 @t27) @t27) @t29) @t186 @t60))) % 0.51/1.02 (assume @p110 (forall @t220 (or @t219 @t218 @t216 @t65))) % 0.51/1.02 (assume @p111 (forall @t220 (or @t219 @t218 @t64 (not @t216)))) % 0.51/1.02 (assume @p112 (forall @t190 (or (tptp.c_lessequals @t222 @t221 @t210) @t60))) % 0.51/1.02 (assume @p113 (forall (@list @t2 @t29 @t53 @t50 @t1) (or (not (tptp.c_lessequals @t2 @t29 @t210)) (tptp.c_lessequals (tptp.c_Set_Oimage @t50 @t2 @t53 @t1) @t223 @t27)))) % 0.51/1.02 (assume @p114 (forall (@list @t9 @t28 @t1 @t32) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t9 @t28 @t1) (tptp.c_Set_Oinsert @t9 @t32 @t1) @t27) (not (tptp.c_lessequals @t28 @t32 @t27))))) % 0.51/1.02 (assume @p115 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t37 @t37 @t27) @t37))) % 0.51/1.02 (assume @p116 (forall @t227 (or @t69 @t226 @t225 @t224))) % 0.51/1.02 (assume @p117 (forall @t227 (or @t69 @t226 @t224 @t225))) % 0.51/1.02 (assume @p118 (forall @t58 (or @t77 @t80 @t60))) % 0.51/1.02 (assume @p119 (forall @t7 (or @t69 @t79 @t66 @t19))) % 0.51/1.02 (assume @p120 (forall @t7 (or @t69 @t66 @t79 @t19))) % 0.51/1.02 (assume @p121 (forall @t58 (or @t80 @t77 @t60))) % 0.51/1.02 (assume @p122 (forall @t230 (or @t69 @t229 @t225 @t228))) % 0.51/1.02 (assume @p123 (forall @t230 (or @t69 @t229 @t228 @t225))) % 0.51/1.02 (assume @p124 (forall @t7 (or @t231 @t79 @t19 @t66))) % 0.51/1.02 (assume @p125 (forall @t7 (or @t231 @t79 @t66 @t19))) % 0.51/1.02 (assume @p126 (forall (@list @t111 @t9 @t2 @t53 @t1 @t233 @t3) (or (not (= (tptp.c_Fun_Ofun__upd @t111 @t9 (tptp.c_Option_Ooption_OSome @t2 @t53) @t1 @t113) (tptp.c_Fun_Ofun__upd @t233 @t9 @t232 @t1 @t113))) @t79))) % 0.51/1.02 (assume @p127 (forall @t235 (= (tptp.c_Set_Oimage @t50 @t211 @t53 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t223 @t234 @t27)))) % 0.51/1.02 (assume @p128 (forall @t236 (or @t231 @t64 @t18))) % 0.51/1.02 (assume @p129 (forall (@list @t53 @t50 @t29 @t33 @t1) (or @t239 (= (tptp.c_Finite__Set_Osetsum @t50 @t86 @t1 @t53) (tptp.c_HOL_Ominus__class_Ominus @t238 (tptp.c_Finite__Set_Osetsum @t50 @t33 @t1 @t53) @t53)) @t59 @t237))) % 0.51/1.02 (assume @p130 (forall (@list @t29 @t1 @t33 @t53 @t71 @t50) (or (= @t242 (tptp.c_Finite__Set_Ocard @t33 @t53)) (not @t241) @t237 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t71 @t33 @t53 @t1) @t29 @t27)) (not (tptp.c_Fun_Oinj__on @t71 @t33 @t53 @t1)) (not (tptp.c_lessequals @t222 @t33 @t210)) @t240))) % 0.51/1.02 (assume @p131 (forall (@list @t50 @t20 @t2 @t29 @t1 @t3 @t53) (or (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t138 @t246 @t1 @t53) (not (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t29 @t3 @t1 @t53)) @t245))) % 0.51/1.02 (assume @p132 (forall @t103 (or @t56 @t249 @t245))) % 0.51/1.02 (assume @p133 (forall @t250 (or @t248 @t60 @t245))) % 0.51/1.02 (assume @p134 (forall @t103 (or @t56 @t245 @t249))) % 0.51/1.02 (assume @p135 (forall @t252 (or @t251 @t140))) % 0.51/1.02 (assume @p136 (forall @t254 (or @t139 @t60 @t253))) % 0.51/1.02 (assume @p137 (forall (@list @t1 @t50 @t2 @t33 @t53 @t29) (or (tptp.hBOOL (tptp.hAPP @t259 @t33)) @t258 (not (tptp.c_lessequals @t223 @t33 @t27))))) % 0.51/1.02 (assume @p138 (forall @t261 (or (= @t260 @t223) @t257))) % 0.51/1.02 (assume @p139 (forall (@list @t53 @t209 @t262 @t29 @t1) (or @t264 (tptp.c_lessequals (tptp.hAPP @t209 @t262) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 @t209 @t1 @t53) @t53) (not (tptp.hBOOL (tptp.hAPP @t263 @t29)))))) % 0.51/1.02 (assume @p140 (forall (@list @t33 @t9 @t29 @t1 @t53) (or (tptp.c_lessequals @t269 @t268 @t210) @t267))) % 0.51/1.02 (assume @p141 (forall (@list @t29 @t2 @t33 @t1 @t53 @t270) (or (tptp.c_lessequals @t99 @t33 @t27) (not (tptp.hBOOL (tptp.hAPP @t256 @t270))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t270 @t29 @t53 @t27) @t33 @t27))))) % 0.51/1.02 (assume @p142 (forall (@list @t29 @t208 @t270 @t1 @t53) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t29 @t208) @t271 @t210) @t271) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t208) @t270)))))) % 0.51/1.02 (assume @p143 (forall @t274 (= @t273 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t272 @t29 @t27)))) % 0.51/1.02 (assume @p144 (forall @t276 (or (= @t29 @t275) @t39 (not (tptp.c_lessequals @t29 @t275 @t27))))) % 0.51/1.02 (assume @p145 (forall (@list @t33 @t53 @t50 @t29 @t1) (or @t241 (not (tptp.c_lessequals @t33 @t222 @t210)) @t237))) % 0.51/1.02 (assume @p146 (forall (@list @t108 @t1 @t53) (= (tptp.c_Set_Oimage @t278 @t277 @t53 @t1) @t37))) % 0.51/1.02 (assume @p147 (forall (@list @t282 @t279 @t1) (or @t285 (not @t284)))) % 0.51/1.02 (assume @p148 (forall @t286 (or @t284 (not @t285)))) % 0.51/1.02 (assume @p149 (forall (@list @t53 @t29 @t209 @t1) (or @t264 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBK @t209 @t53 @t1) @t1 @t53) @t209) @t39))) % 0.51/1.02 (assume @p150 (forall (@list @t53 @t29 @t1 @t33) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t277 @t29 @t53 @t27) @t33 @t27) @t33))) % 0.51/1.02 (assume @p151 (forall @t288 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t287 @t27) @t29))) % 0.51/1.02 (assume @p152 (forall (@list @t9 @t29 @t53 @t33 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t9 @t29 @t53) @t33 @t53 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t269 @t289 @t27)))) % 0.51/1.02 (assume @p153 (forall @t235 (tptp.c_lessequals (tptp.c_Set_Oimage @t50 @t290 @t53 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t223 @t234 @t27) @t27))) % 0.51/1.02 (assume @p154 (forall (@list @t29 @t33 @t50 @t162 @t1 @t53) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBB @t33 @t50 @t162 @t27 @t53) @t53 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t50 @t29 @t53 @t162) @t33 @t162 @t27)))) % 0.51/1.02 (assume @p155 (forall (@list @t50 @t29 @t162 @t53 @t33 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oimage @t50 @t29 @t162 @t53) @t33 @t53 @t27) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t29 (tptp.c_COMBB @t33 @t50 @t53 @t27 @t162) @t162 @t27)))) % 0.51/1.02 (assume @p156 (forall @t190 (or (not (= @t222 @t221)) @t292 @t80))) % 0.51/1.02 (assume @p157 (forall @t294 (or @t293 @t240))) % 0.51/1.02 (assume @p158 (forall @t296 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t223 @t234 @t27) (tptp.c_Set_Oimage @t50 @t295 @t53 @t1) @t27))) % 0.51/1.02 (assume @p159 (forall @t58 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t118 @t27) @t29))) % 0.51/1.02 (assume @p160 (forall @t146 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t116 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t297 @t27)))) % 0.51/1.02 (assume @p161 (forall @t146 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t159 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t297 @t27)))) % 0.51/1.02 (assume @p162 (forall @t299 (tptp.c_lessequals (tptp.c_Set_Oimage @t50 @t298 @t53 @t1) @t29 @t27))) % 0.51/1.02 (assume @p163 (forall (@list @t50 @t71 @t2 @t3 @t53 @t1) (= (tptp.c_Map_Omap__add @t50 (tptp.c_Fun_Ofun__upd @t71 @t2 @t232 @t1 @t113) @t1 @t53) (tptp.c_Fun_Ofun__upd @t300 @t2 @t232 @t1 @t113)))) % 0.51/1.02 (assume @p164 (forall (@list @t111 @t233 @t1 @t53) (= (tptp.c_Map_Odom (tptp.c_Map_Omap__add @t111 @t233 @t1 @t53) @t1 @t53) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Map_Odom @t233 @t1 @t53) @t301 @t27)))) % 0.51/1.02 (assume @p165 (forall @t55 (tptp.c_Map_Omap__le @t303 @t50 @t1 @t53))) % 0.51/1.02 (assume @p166 (forall (@list @t50 @t1 @t53 @t71) (or (tptp.c_lessequals @t304 (tptp.c_Map_Odom @t71 @t1 @t53) @t27) @t112))) % 0.51/1.02 (assume @p167 (forall @t40 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t29 @t27) @t29))) % 0.51/1.02 (assume @p168 (forall @t92 (or @t63 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t1) @t2)))) % 0.51/1.02 (assume @p169 (forall (@list @t192 @t191 @t53 @t1 @t162 @t282) (= (tptp.hAPP (tptp.c_COMBB @t192 @t191 @t53 @t1 @t162) @t282) (tptp.hAPP @t192 (tptp.hAPP @t191 @t282))))) % 0.51/1.02 (assume @p170 (forall (@list @t192 @t1 @t53 @t191) (= (tptp.hAPP (tptp.c_COMBK @t192 @t1 @t53) @t191) @t192))) % 0.51/1.02 (assume @p171 (forall @t7 (or @t231 @t66 @t64))) % 0.51/1.02 (assume @p172 (forall @t92 (or @t231 (not @t198) @t306))) % 0.51/1.02 (assume @p173 (forall @t92 (or @t231 @t305 @t198))) % 0.51/1.02 (assume @p174 (forall @t7 (or @t231 @t67 @t65))) % 0.51/1.02 (assume @p175 (forall @t236 (or @t231 @t64 @t66))) % 0.51/1.02 (assume @p176 (forall @t7 (or @t231 @t19 @t181))) % 0.51/1.02 (assume @p177 (forall @t236 (or @t231 @t180 @t18))) % 0.51/1.02 (assume @p178 (forall (@list @t53 @t71 @t50 @t1) (or @t75 (not @t82) @t73))) % 0.51/1.02 (assume @p179 (forall @t236 (or @t68 @t65 @t67))) % 0.51/1.02 (assume @p180 (forall @t146 (= @t307 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t158 @t27)))) % 0.51/1.02 (assume @p181 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t28 @t27) @t307))) % 0.51/1.02 (assume @p182 (forall @t25 (or @t63 @t309))) % 0.51/1.02 (assume @p183 (forall @t25 (or @t63 @t310))) % 0.51/1.02 (assume @p184 (forall @t25 (or @t26 @t310))) % 0.51/1.02 (assume @p185 (forall @t25 (or @t26 @t309))) % 0.51/1.02 (assume @p186 (forall @t58 (or (= @t118 @t29) @t60))) % 0.51/1.02 (assume @p187 (forall @t58 (or (= @t118 @t33) @t59))) % 0.51/1.02 (assume @p188 (forall @t7 (or @t6 @t311 @t19))) % 0.51/1.02 (assume @p189 (forall @t7 (or @t6 (not @t311) @t18))) % 0.51/1.02 (assume @p190 (forall @t7 (or @t6 (= @t4 @t3) @t65))) % 0.51/1.02 (assume @p191 (forall @t120 (or @t173 @t186 @t31))) % 0.51/1.02 (assume @p192 (forall @t312 (tptp.c_lessequals @t33 @t35 @t27))) % 0.51/1.02 (assume @p193 (forall @t58 (tptp.c_lessequals @t29 @t35 @t27))) % 0.51/1.02 (assume @p194 (forall @t315 (or @t63 @t169 @t314 @t313))) % 0.51/1.02 (assume @p195 (forall @t7 (or @t63 @t316))) % 0.51/1.02 (assume @p196 (forall @t236 (or @t63 @t317))) % 0.51/1.02 (assume @p197 (forall @t153 (or @t63 (tptp.c_lessequals @t149 @t2 @t1) (not @t178) @t65))) % 0.51/1.02 (assume @p198 (forall @t25 (or @t63 @t163 @t184 @t22))) % 0.51/1.02 (assume @p199 (forall @t236 (or @t26 @t317))) % 0.51/1.02 (assume @p200 (forall @t7 (or @t26 @t316))) % 0.51/1.02 (assume @p201 (forall @t58 (or (= @t319 @t33) @t60))) % 0.51/1.02 (assume @p202 (forall @t25 (or @t26 (tptp.c_lessequals @t148 @t150 @t1)))) % 0.51/1.02 (assume @p203 (forall @t58 (tptp.c_lessequals @t86 @t29 @t27))) % 0.51/1.02 (assume @p204 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t159 @t27) @t142 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t116 @t27) @t160 @t27)))) % 0.51/1.02 (assume @p205 (forall @t320 (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t37 @t20 @t1 @t53))) % 0.51/1.02 (assume @p206 (forall @t320 (tptp.c_Nitpick_Ofold__graph_H @t50 @t20 @t37 @t20 @t1 @t53))) % 0.51/1.02 (assume @p207 (forall @t296 (or (tptp.c_lessequals @t298 @t321 @t210) @t60))) % 0.51/1.02 (assume @p208 (forall @t58 (or @t322 (= @t33 @t37)))) % 0.51/1.02 (assume @p209 (forall @t58 (or @t322 @t39))) % 0.51/1.02 (assume @p210 (forall @t324 (or @t91 @t323 (= @t29 @t90)))) % 0.51/1.02 (assume @p211 (forall @t324 (or @t91 @t323 (= @t33 @t90)))) % 0.51/1.02 (assume @p212 (forall @t312 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t318 @t29 @t27) @t161))) % 0.51/1.02 (assume @p213 (forall @t58 (= @t319 @t35))) % 0.51/1.02 (assume @p214 (forall (@list @t28 @t33 @t1 @t29) (or @t154 @t325))) % 0.51/1.02 (assume @p215 (forall (@list @t28 @t29 @t1 @t33) (or @t114 @t325))) % 0.51/1.02 (assume @p216 (forall @t17 (or @t6 @t10 @t326))) % 0.51/1.02 (assume @p217 (forall (@list @t1 @t2 @t12 @t9) (or @t6 @t13 @t326))) % 0.51/1.02 (assume @p218 (forall @t315 (or @t6 @t327 @t313))) % 0.51/1.02 (assume @p219 (forall @t315 (or @t6 @t327 @t314))) % 0.51/1.02 (assume @p220 (forall @t25 (or @t6 @t18 @t328))) % 0.51/1.02 (assume @p221 (forall @t166 (or @t6 @t21 @t328))) % 0.51/1.02 (assume @p222 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t28 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t297 @t329 @t27)))) % 0.51/1.02 (assume @p223 (forall @t58 (= @t35 @t161))) % 0.51/1.02 (assume @p224 (forall @t7 (or @t63 @t330))) % 0.51/1.02 (assume @p225 (forall @t7 (or @t26 @t330))) % 0.51/1.02 (assume @p226 (forall @t58 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t35 @t27) @t35))) % 0.51/1.02 (assume @p227 (forall @t7 (or @t63 @t331))) % 0.51/1.02 (assume @p228 (forall @t7 (or @t26 @t331))) % 0.51/1.02 (assume @p229 (forall @t235 (= (tptp.c_Set_Ovimage @t50 @t211 @t1 @t53) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t333 @t332 @t27)))) % 0.51/1.02 (assume @p230 (forall @t334 (or (not (= @t87 @t50)) (= @t52 @t3)))) % 0.51/1.02 (assume @p231 (forall (@list @t50 @t33 @t1 @t53 @t29) (or @t187 @t292))) % 0.51/1.02 (assume @p232 (forall @t190 (or @t189 @t292))) % 0.51/1.02 (assume @p233 (forall @t120 (or @t336 (not @t335)))) % 0.51/1.02 (assume @p234 (forall @t146 (or @t335 (not @t336)))) % 0.51/1.02 (assume @p235 (forall @t17 (or @t63 @t337 (not (tptp.c_HOL_Oord__class_Oless @t2 @t9 @t1))))) % 0.51/1.02 (assume @p236 (forall @t17 (or @t63 @t337 (not (tptp.c_HOL_Oord__class_Oless @t2 @t12 @t1))))) % 0.51/1.02 (assume @p237 (forall (@list @t53 @t50 @t2 @t71 @t1) (or @t75 (tptp.c_lessequals @t52 (tptp.hAPP @t71 @t2) @t53) @t81))) % 0.51/1.02 (assume @p238 (forall (@list @t1 @t207 @t33 @t29) (or (tptp.hBOOL (tptp.hAPP @t338 @t33)) (not (tptp.hBOOL (tptp.hAPP @t338 @t29))) @t60))) % 0.51/1.02 (assume @p239 (forall @t252 (or @t251 @t60 @t339))) % 0.51/1.02 (assume @p240 (forall @t344 (or @t343 @t342 @t60))) % 0.51/1.02 (assume @p241 (forall @t252 (or @t251 @t339 @t60))) % 0.51/1.02 (assume @p242 (forall @t346 (or @t345 @t342))) % 0.51/1.02 (assume @p243 (forall @t346 (or @t345 @t347))) % 0.51/1.02 (assume @p244 (forall @t344 (or @t343 @t341 (not @t345)))) % 0.51/1.02 (assume @p245 (forall (@list @t108) (= @t350 (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t349 @t108 @t348 tptp.tc_Com_Ostate)))) % 0.51/1.02 (assume @p246 (forall (@list @t1 @t29 @t33 @t192 @t2) (or @t352 @t195 @t253))) % 0.51/1.02 (assume @p247 (forall (@list @t1 @t29 @t33 @t192 @t206) (or @t352 @t356 @t354))) % 0.51/1.02 (assume @p248 (forall @t357 (or (= (tptp.c_Finite__Set_Ocard @t138 @t1) @t242) @t339 @t237))) % 0.51/1.02 (assume @p249 (forall (@list @t108 @t1 @t53 @t29) (or (= (tptp.c_Set_Oimage @t278 @t29 @t53 @t1) (tptp.c_Set_Oinsert @t108 @t37 @t1)) @t358))) % 0.51/1.02 (assume @p250 (forall (@list @t50 @t2 @t3 @t1 @t53 @t29) (or (tptp.c_Fun_Oinj__on @t87 @t29 @t1 @t53) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t3) @t222)) @t240))) % 0.51/1.02 (assume @p251 (forall (@list @t9 @t33 @t1) (= @t124 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t360 @t33 @t27)))) % 0.51/1.02 (assume @p252 (forall @t250 (or @t248 @t60 @t363))) % 0.51/1.02 (assume @p253 (forall @t294 (or @t293 @t240 @t237))) % 0.51/1.02 (assume @p254 (forall @t294 (or (not @t293) @t237 @t189))) % 0.51/1.02 (assume @p255 (forall @t366 (or (= @t364 @t29) (not @t365) (not (tptp.c_lessequals @t364 @t29 @t27)) @t237))) % 0.51/1.02 (assume @p256 (forall @t366 (or @t365 (not (tptp.c_lessequals @t29 @t364 @t27)) @t237))) % 0.51/1.02 (assume @p257 (forall (@list @t108 @t53 @t1 @t29) (or (= (tptp.c_Set_Ovimage @t367 @t29 @t1 @t53) @t37) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t108) @t29))))) % 0.51/1.02 (assume @p258 (forall @t250 (or @t368 @t60 @t245 @t78))) % 0.51/1.02 (assume @p259 (forall @t250 (or @t368 @t60 @t245 @t251))) % 0.51/1.02 (assume @p260 (forall @t103 (or @t56 @t245 @t251 @t369))) % 0.51/1.02 (assume @p261 (forall @t371 (or (= (tptp.c_Set_Oimage @t50 @t118 @t1 @t53) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t222 @t221 @t210)) @t186 @t31 @t370))) % 0.51/1.02 (assume @p262 (forall @t373 (= (tptp.c_Set_Ovimage @t50 @t372 @t1 @t53) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t50 (tptp.c_Set_Oinsert @t9 @t277 @t53) @t1 @t53) @t332 @t27)))) % 0.51/1.02 (assume @p263 (forall @t371 (or (= @t374 (tptp.c_HOL_Ominus__class_Ominus @t222 @t221 @t210)) @t186 @t31 @t370))) % 0.51/1.02 (assume @p264 (forall @t334 (or (= (tptp.c_Map_Odom (tptp.c_Fun_Ofun__upd @t50 @t2 @t3 @t1 @t113) @t1 @t53) (tptp.c_Set_Oinsert @t2 @t304 @t1)) (= @t3 @t302)))) % 0.51/1.02 (assume @p265 (forall (@list @t376 @t2 @t53 @t1 @t375 @t3) (or (tptp.c_Map_Omap__le (tptp.c_Fun_Ofun__upd @t376 @t2 @t302 @t1 @t113) (tptp.c_Fun_Ofun__upd @t375 @t2 @t232 @t1 @t113) @t1 @t53) @t377))) % 0.51/1.02 (assume @p266 (forall @t250 (or @t368 @t339 @t379 @t251))) % 0.51/1.02 (assume @p267 (forall @t382 (not (= @t381 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p268 (forall (@list @t385 @t383 @t45) (not (= @t386 @t384)))) % 0.51/1.02 (assume @p269 (forall @t58 (or @t387 @t237))) % 0.51/1.02 (assume @p270 (forall (@list @t385 @t388 @t383 @t45) (not (= @t386 @t389)))) % 0.51/1.02 (assume @p271 (forall @t390 (or (tptp.c_Fun_Oinj__on @t50 @t86 @t1 @t53) @t240))) % 0.51/1.02 (assume @p272 (forall (@list @t1 @t50 @t29 @t53) (or (not (= @t37 @t223)) @t358))) % 0.51/1.02 (assume @p273 (forall (@list @t380 @t43 @t388 @t383 @t45) (not (= @t381 @t389)))) % 0.51/1.02 (assume @p274 (forall (@list @t12 @t108 @t391) (or (tptp.hBOOL (tptp.hAPP @t395 @t391)) @t392))) % 0.51/1.02 (assume @p275 (forall @t235 (= (tptp.c_Set_Ovimage @t50 @t295 @t1 @t53) (tptp.c_HOL_Ominus__class_Ominus @t333 @t332 @t27)))) % 0.51/1.02 (assume @p276 (forall @t250 (or @t368 @t339 @t379 @t78))) % 0.51/1.02 (assume @p277 (forall (@list @t192 @t1) (= @t396 @t192))) % 0.51/1.02 (assume @p278 (forall (@list @t397 @t383 @t385) (not (= @t398 @t386)))) % 0.51/1.02 (assume @p279 (forall @t407 (or @t406 @t401))) % 0.51/1.02 (assume @p280 (forall @t407 (or @t406 @t408))) % 0.51/1.02 (assume @p281 (forall (@list @t404 @t400 @t380 @t43) (not (= @t405 @t381)))) % 0.51/1.02 (assume @p282 (forall @t135 (= @t409 (tptp.c_HOL_Ominus__class_Ominus @t86 @t272 @t27)))) % 0.51/1.02 (assume @p283 (forall @t135 (= @t409 (tptp.c_HOL_Ominus__class_Ominus @t410 @t33 @t27)))) % 0.51/1.02 (assume @p284 (forall (@list @t404 @t400 @t380 @t402 @t399) (not (= @t405 @t411)))) % 0.51/1.02 (assume @p285 (forall @t200 (or @t141 @t412 @t199))) % 0.51/1.02 (assume @p286 (forall @t58 (or @t387 @t237 @t199))) % 0.51/1.02 (assume @p287 (forall @t274 (not (= @t273 @t37)))) % 0.51/1.02 (assume @p288 (forall (@list @t402 @t399 @t388 @t383 @t45) (not (= @t403 @t389)))) % 0.51/1.02 (assume @p289 (forall (@list @t51 @t9 @t50 @t1) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 @t9) (tptp.c_Set_Ovimage @t50 (tptp.c_Set_Oinsert @t413 @t37 @t1) @t51 @t1))))) % 0.51/1.02 (assume @p290 (forall (@list @t9 @t29 @t1 @t33) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t273 @t124 @t27) @t415))) % 0.51/1.02 (assume @p291 (forall (@list @t71 @t416 @t1 @t53 @t50) (or @t418 (not @t417)))) % 0.51/1.02 (assume @p292 (forall @t357 (= (tptp.c_Set_Oinsert @t2 @t138 @t1) @t138))) % 0.51/1.02 (assume @p293 (forall (@list @t33 @t2 @t53 @t1 @t29) (or (tptp.c_Finite__Set_Ofinite @t104 @t53) @t339 (not (tptp.c_Finite__Set_Ofinite @t268 @t53)) @t237))) % 0.51/1.02 (assume @p294 (forall @t419 (tptp.c_Map_Omap__le @t50 @t50 @t1 @t53))) % 0.51/1.02 (assume @p295 (forall (@list @t376 @t420 @t1 @t53 @t375) (or (tptp.c_Map_Omap__le @t376 @t420 @t1 @t53) (not (tptp.c_Map_Omap__le @t375 @t420 @t1 @t53)) @t377))) % 0.51/1.02 (assume @p296 (forall (@list @t421 @t380 @t43 @t397 @t383) (not (= @t422 @t398)))) % 0.51/1.02 (assume @p297 (forall (@list @t29 @t2 @t3 @t1) (or @t100 (= @t3 @t2) (not @t424)))) % 0.51/1.02 (assume @p298 (forall (@list @t29 @t33 @t53 @t1 @t2) (or (not (= @t289 @t37)) @t425 @t258))) % 0.51/1.02 (assume @p299 (forall (@list @t385 @t397 @t383) (not (= @t386 @t398)))) % 0.51/1.02 (assume @p300 (forall (@list @t383 @t404 @t400 @t380 @t43) (not (= @t426 @t381)))) % 0.51/1.02 (assume @p301 (forall (@list @t380 @t402 @t399 @t388 @t383 @t45) (not (= @t411 @t389)))) % 0.51/1.02 (assume @p302 (forall @t92 (or @t91 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t90 @t1) @t90)))) % 0.51/1.02 (assume @p303 (forall @t92 (or @t91 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t90 @t2 @t1) @t90)))) % 0.51/1.02 (assume @p304 (forall @t89 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t33 @t27) @t37))) % 0.51/1.02 (assume @p305 (forall @t40 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t37 @t27) @t37))) % 0.51/1.02 (assume @p306 (forall (@list @t29 @t1 @t9) (or @t141 (not @t427)))) % 0.51/1.02 (assume @p307 (forall @t274 (or @t427 @t237))) % 0.51/1.02 (assume @p308 (forall @t38 (tptp.c_Finite__Set_Ofinite @t37 @t1))) % 0.51/1.02 (assume @p309 (forall (@list @t380 @t402 @t399 @t404 @t400) (not (= @t411 @t405)))) % 0.51/1.02 (assume @p310 (forall @t435 (or @t434 @t433 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT (tptp.c_Com_Ocom_OBODY @t431)) @t430 @t429) tptp.tc_Com_Ostate)) @t428))) % 0.51/1.02 (assume @p311 (forall (@list @t442 @t9 @t12 @t1 @t438 @t443 @t441 @t440 @t439 @t437 @t436) (or (= (tptp.hAPP @t442 @t447) (tptp.hAPP @t445 @t12)) @t444))) % 0.51/1.02 (assume @p312 (forall (@list @t443 @t9 @t12 @t1 @t439 @t442 @t441 @t440 @t438 @t437 @t436) (or (= (tptp.hAPP @t443 @t447) (tptp.hAPP @t448 @t12)) @t444))) % 0.51/1.02 (assume @p313 (forall @t450 (or @t449 @t401))) % 0.51/1.02 (assume @p314 (forall @t450 (or @t449 @t408))) % 0.51/1.02 (assume @p315 (forall @t450 (or @t449 @t451))) % 0.51/1.02 (assume @p316 (forall (@list @t453 @t1) (not (= @t454 @t452)))) % 0.51/1.02 (assume @p317 (forall (@list @t206 @t1) (not (= (tptp.c_Option_Ooption_OSome @t206 @t1) @t452)))) % 0.51/1.02 (assume @p318 (forall (@list @t9 @t1 @t453) (or (not (= (tptp.c_Option_Ooption_OSome @t9 @t1) @t454)) (= @t9 @t453)))) % 0.51/1.02 (assume @p319 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t37 @t27) @t29))) % 0.51/1.02 (assume @p320 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t29 @t27) @t37))) % 0.51/1.02 (assume @p321 (forall (@list @t397 @t383 @t380 @t43) (not (= @t398 @t381)))) % 0.51/1.02 (assume @p322 (forall (@list @t376 @t375 @t420 @t1 @t53) (= (tptp.c_Map_Omap__add @t376 (tptp.c_Map_Omap__add @t375 @t420 @t1 @t53) @t1 @t53) (tptp.c_Map_Omap__add @t455 @t420 @t1 @t53)))) % 0.51/1.02 (assume @p323 (forall (@list @t397 @t383 @t421 @t380 @t43) (not (= @t398 @t422)))) % 0.51/1.02 (assume @p324 (forall @t40 (not (tptp.c_HOL_Oord__class_Oless @t29 @t37 @t27)))) % 0.51/1.02 (assume @p325 (forall (@list @t383 @t404 @t400 @t385) (not (= @t426 @t386)))) % 0.51/1.02 (assume @p326 (forall (@list @t385 @t383 @t404 @t400) (not (= @t386 @t426)))) % 0.51/1.02 (assume @p327 (forall @t25 (or @t26 @t457))) % 0.51/1.02 (assume @p328 (forall @t25 (or @t26 @t458))) % 0.51/1.02 (assume @p329 (forall @t25 (or @t6 @t458))) % 0.51/1.02 (assume @p330 (forall @t25 (or @t6 @t457))) % 0.51/1.02 (assume @p331 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t28 @t27) @t459))) % 0.51/1.02 (assume @p332 (forall @t146 (= @t459 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t145 @t27)))) % 0.51/1.02 (assume @p333 (forall (@list @t388 @t383 @t45 @t380 @t43) (not (= @t389 @t381)))) % 0.51/1.02 (assume @p334 (forall @t469 (or @t468 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 @t465 @t1))))) % 0.51/1.02 (assume @p335 (forall @t469 (or @t468 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t467 @t93 @t460) @t465 @t1))))) % 0.51/1.02 (assume @p336 (forall @t472 (or @t239 @t471 @t267 @t237))) % 0.51/1.02 (assume @p337 (forall @t472 (or (not (tptp.class_Ring__and__Field_Oring @t53)) @t471 @t267 @t237))) % 0.51/1.02 (assume @p338 (forall (@list @t192) (or (= @t474 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t192) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t473))))) % 0.51/1.02 (assume @p339 (forall @t55 (= (tptp.c_Map_Odom @t303 @t1 @t53) (tptp.c_HOL_Ominus__class_Ominus @t304 @t275 @t27)))) % 0.51/1.02 (assume @p340 (forall @t390 (or @t475 @t292))) % 0.51/1.02 (assume @p341 (forall @t390 (or (not @t475) @t188 @t240 @t291))) % 0.51/1.02 (assume @p342 (forall @t250 (or @t368 @t60 @t379 @t251))) % 0.51/1.02 (assume @p343 (forall @t261 (or (= @t260 (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oimage @t50 (tptp.c_HOL_Ominus__class_Ominus @t29 (tptp.c_Set_Oinsert @t2 @t277 @t53) @t210) @t53 @t1) @t1)) @t258))) % 0.51/1.02 (assume @p344 (forall @t472 (or @t239 (= @t470 @t238) @t266 @t237))) % 0.51/1.02 (assume @p345 (forall @t276 (or (= (tptp.c_Finite__Set_Ocard @t361 @t1) @t242) @t245 @t237))) % 0.51/1.02 (assume @p346 (forall (@list @t93 @t192 @t108 @t110 @t282 @t1 @t191) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t192 (tptp.c_Com_Ocom_OSemi @t108 @t110) @t282 @t1) @t461 @t460) @t1) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t191 @t110 @t282 @t1) @t461 @t460) @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t192 @t108 @t191 @t1) @t461 @t460) @t1))))) % 0.51/1.02 (assume @p347 (forall (@list @t93 @t192 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t192 tptp.c_Com_Ocom_OSKIP @t192 @t1) @t461 @t460) @t1))) % 0.51/1.02 (assume @p348 (forall (@list @t480 @t111 @t478 @t53 @t1 @t476) (or (= (tptp.c_Map_Omap__add (tptp.c_Fun_Ofun__upd @t480 @t111 @t479 @t1 @t113) @t476 @t1 @t53) (tptp.c_Fun_Ofun__upd (tptp.c_Map_Omap__add @t480 @t476 @t1 @t53) @t111 @t479 @t1 @t113)) (tptp.hBOOL (tptp.hAPP @t477 (tptp.c_Map_Odom @t476 @t1 @t53)))))) % 0.51/1.02 (assume @p349 (forall @t250 (or @t368 @t60 @t379 @t78))) % 0.51/1.02 (assume @p350 (forall (@list @t50 @t33 @t1 @t53) (= @t332 (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t255 @t50 @t53 (tptp.tc_fun @t210 tptp.tc_bool) @t1) @t1 @t210 tptp.tc_bool) @t33) @t1)))) % 0.51/1.02 (assume @p351 (forall @t481 (or (tptp.c_Nitpick_Ofold__graph_H @t50 @t20 @t29 @t246 @t1 @t53) (not (tptp.c_Nitpick_Ofold__graph_H @t50 @t20 @t361 @t3 @t1 @t53)) @t339))) % 0.51/1.02 (assume @p352 (forall @t482 (or @t362 @t339 @t249))) % 0.51/1.02 (assume @p353 (forall @t250 (or @t248 @t339 @t363))) % 0.51/1.02 (assume @p354 (forall (@list @t50 @t29 @t9 @t1) (or (= (tptp.c_Finite__Set_Osetsum @t50 @t410 @t1 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t50 @t29 @t1 tptp.tc_nat)) @t266))) % 0.51/1.02 (assume @p355 (forall @t481 (or (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t29 @t246 @t1 @t53) @t339 (not (tptp.c_Finite__Set_Ofold__graph @t50 @t20 @t361 @t3 @t1 @t53))))) % 0.51/1.02 (assume @p356 (forall (@list @t108 @t53 @t1 @t29 @t2) (or (= (tptp.c_Set_Oimage @t367 @t29 @t1 @t53) (tptp.c_Set_Oinsert @t108 @t277 @t53)) @t339))) % 0.51/1.02 (assume @p357 (= (tptp.c_Hoare__Mirabelle_OMGT tptp.v_c) (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t349 tptp.v_c (tptp.c_Natural_Oevalc tptp.v_c) tptp.tc_Com_Ostate))) % 0.51/1.02 (assume @p358 (forall @t482 (or @t378 @t339 @t251 @t369))) % 0.51/1.02 (assume @p359 (forall (@list @t50 @t2 @t1 @t53 @t29) (or (not (= @t52 @t452)) (= (tptp.c_HOL_Ominus__class_Ominus @t483 (tptp.c_Set_Oinsert @t2 @t29 @t53) @t210) (tptp.c_HOL_Ominus__class_Ominus @t483 @t29 @t210))))) % 0.51/1.02 (assume @p360 (forall (@list @t397 @t383 @t402 @t399) (not (= @t398 @t403)))) % 0.51/1.02 (assume @p361 (forall (@list @t93 @t462) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 (tptp.c_Set_Oinsert @t484 @t430 @t429) tptp.tc_Com_Ostate) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t484 @t93 @t429) (tptp.c_Set_Oinsert (tptp.c_Hoare__Mirabelle_OMGT @t464) @t430 @t429) tptp.tc_Com_Ostate))))) % 0.51/1.02 (assume @p362 (forall (@list @t388 @t383 @t45 @t380 @t402 @t399) (not (= @t389 @t411)))) % 0.51/1.02 (assume @p363 (forall @t254 (or (= @t485 @t86) @t253))) % 0.51/1.02 (assume @p364 (forall (@list @t50 @t29 @t1 @t53 @t9) (or @t189 @t487))) % 0.51/1.02 (assume @p365 (forall (@list @t385 @t404 @t400) (not (= @t386 @t405)))) % 0.51/1.02 (assume @p366 (forall (@list @t12 @t9 @t1) (or (= @t12 @t9) (not (tptp.hBOOL (tptp.hAPP @t488 @t272)))))) % 0.51/1.02 (assume @p367 (forall @t58 (or @t489 (= @t86 @t29)))) % 0.51/1.02 (assume @p368 (forall (@list @t192 @t2 @t1 @t29) (or @t194 @t491))) % 0.51/1.02 (assume @p369 (forall @t166 (or @t68 @t204 @t203 @t67))) % 0.51/1.02 (assume @p370 (forall @t175 (or @t201 @t202 @t78))) % 0.51/1.02 (assume @p371 (forall @t179 (or @t69 @t182 @t183 @t181))) % 0.51/1.02 (assume @p372 (forall (@list @t50 @t9 @t29 @t1 @t53) (or @t486 @t493 @t240))) % 0.51/1.02 (assume @p373 (forall (@list @t2 @t3 @t29 @t1) (= (tptp.c_Set_Oinsert @t2 @t423 @t1) (tptp.c_Set_Oinsert @t3 @t138 @t1)))) % 0.51/1.02 (assume @p374 (forall @t288 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t287 @t27) @t29))) % 0.51/1.02 (assume @p375 (forall (@list @t192 @t53 @t162 @t1 @t191 @t282) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t192 @t53 @t162 @t1) @t191) @t282) (tptp.hAPP (tptp.hAPP @t192 @t282) @t191)))) % 0.51/1.02 (assume @p376 (forall (@list @t404 @t400 @t385) (not (= @t405 @t386)))) % 0.51/1.02 (assume @p377 (forall @t58 (= (tptp.c_HOL_Ominus__class_Ominus @t86 @t33 @t27) @t86))) % 0.51/1.02 (assume @p378 (forall (@list @t1 @t3) (not (= @t452 @t125)))) % 0.51/1.02 (assume @p379 (forall (@list @t1 @t453) (not (= @t452 @t454)))) % 0.51/1.02 (assume @p380 (forall (@list @t12 @t108 @t494 @t496 @t495) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t394 @t494) @t496)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t394 @t495) @t496))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t348 @t494) @t495))) (not (tptp.hBOOL (tptp.hAPP @t12 @t494)))))) % 0.51/1.02 (assume @p381 (forall (@list @t206 @t2 @t1) (= (tptp.c_Set_Oinsert @t206 @t275 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t206 @t37 @t1) @t1)))) % 0.51/1.02 (assume @p382 (forall (@list @t1 @t206 @t3 @t2) (or @t498 (not (= (tptp.c_HOL_Ominus__class_Ominus @t206 @t3 @t1) @t497)) (= @t206 @t3)))) % 0.51/1.02 (assume @p383 (forall (@list @t1 @t2 @t214 @t215) (or @t498 (not (= @t497 @t217)) (= @t214 @t215)))) % 0.51/1.02 (assume @p384 (forall @t500 (= @t499 @t37))) % 0.51/1.02 (assume @p385 (forall @t507 (or @t506 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t503 @t391) @t495))) @t501))) % 0.51/1.02 (assume @p386 (forall (@list @t12 @t391 @t504 @t207 @t508) (or @t501 @t513 @t510))) % 0.51/1.02 (assume @p387 (forall (@list @t502 @t504 @t494 @t496 @t495) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t514) @t494) @t496)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t511 @t495) @t496))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t503 @t494) @t495)))))) % 0.51/1.02 (assume @p388 (forall @t419 (tptp.c_Fun_Oinj__on @t50 @t37 @t1 @t53))) % 0.51/1.02 (assume @p389 (forall (@list @t376 @t1 @t53 @t375) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Map_Odom @t376 @t1 @t53) (tptp.c_Map_Odom @t375 @t1 @t53) @t27) @t37)) (= @t455 (tptp.c_Map_Omap__add @t375 @t376 @t1 @t53))))) % 0.51/1.02 (assume @p390 (forall @t334 (or (not (= @t52 @t125)) (= (tptp.c_Set_Oinsert @t2 @t483 @t53) @t483)))) % 0.51/1.02 (assume @p391 (forall @t58 (= @t118 @t143))) % 0.51/1.02 (assume @p392 (forall @t7 (or @t6 @t515))) % 0.51/1.02 (assume @p393 (forall @t7 (or @t26 @t515))) % 0.51/1.02 (assume @p394 (forall (@list @t442 @t443 @t441 @t1 @t440 @t438 @t439 @t436 @t437) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t442 @t443 (tptp.c_COMBC @t441 @t1 @t1 tptp.tc_bool) (tptp.c_COMBC @t440 @t1 @t1 tptp.tc_bool) @t438 @t439 @t436 @t437 @t1) @t444))) % 0.51/1.02 (assume @p395 (forall @t516 (not (= tptp.c_Com_Ocom_OSKIP @t411)))) % 0.51/1.02 (assume @p396 (forall @t274 (= @t517 @t273))) % 0.51/1.02 (assume @p397 (forall (@list @t9 @t1 @t12) (or (not (= @t272 @t446)) @t225))) % 0.51/1.02 (assume @p398 (forall @t525 (or @t524 @t521 @t519))) % 0.51/1.02 (assume @p399 (forall (@list @t111 @t208 @t2 @t1 @t233 @t53) (or (not @t521) @t527 @t523))) % 0.51/1.02 (assume @p400 (forall @t531 (or @t530 @t528))) % 0.51/1.02 (assume @p401 (forall @t531 (or @t530 @t526))) % 0.51/1.02 (assume @p402 (forall (@list @t2 @t206 @t1) (or (not (= (tptp.c_Set_Oinsert @t2 @t206 @t1) @t37)) (tptp.hBOOL (tptp.hAPP @t244 @t206))))) % 0.51/1.02 (assume @p403 (forall (@list @t93 @t207 @t1 @t532) (or @t535 @t534))) % 0.51/1.02 (assume @p404 (forall (@list @t388 @t383 @t45 @t385) (not (= @t389 @t386)))) % 0.51/1.02 (assume @p405 (forall (@list @t3 @t29 @t1 @t2) (or @t424 @t101))) % 0.51/1.02 (assume @p406 (forall (@list @t50 @t2 @t29 @t1 @t53) (or (= (tptp.c_Set_Oinsert @t52 @t222 @t53) @t222) @t339))) % 0.51/1.02 (assume @p407 (forall @t135 (or (= @t536 @t118) @t266))) % 0.51/1.02 (assume @p408 (forall @t136 (or (= @t538 @t159) @t537))) % 0.51/1.02 (assume @p409 (forall (@list @t388 @t383 @t45 @t402 @t399) (not (= @t389 @t403)))) % 0.51/1.02 (assume @p410 (forall (@list @t539 @t385) (or (not (= (tptp.c_Com_Ocom_OBODY @t539) @t386)) (= @t539 @t385)))) % 0.51/1.02 (assume @p411 (forall @t541 (or @t540 @t451))) % 0.51/1.02 (assume @p412 (forall @t541 (or @t540 @t49))) % 0.51/1.02 (assume @p413 (forall (@list @t1 @t50 @t53) (= @t37 @t499))) % 0.51/1.02 (assume @p414 (forall @t516 (not (= @t411 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p415 (forall @t58 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t318 @t27) @t37))) % 0.51/1.02 (assume @p416 (forall (@list @t380 @t43 @t383 @t404 @t400) (not (= @t381 @t426)))) % 0.51/1.02 (assume @p417 (forall @t134 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t141))) % 0.51/1.02 (assume @p418 (forall @t542 (or @t245 @t491))) % 0.51/1.02 (assume @p419 (forall (@list @t111 @t208 @t1 @t233 @t53) (or (not @t528) @t527 @t529))) % 0.51/1.02 (assume @p420 (forall (@list @t233 @t208 @t543 @t1 @t111 @t53) (or (not (= @t518 @t544)) (= @t522 @t544)))) % 0.51/1.02 (assume @p421 (forall (@list @t233 @t208 @t2 @t1 @t111 @t53) (or (not @t519) @t523))) % 0.51/1.02 (assume @p422 (forall @t545 (or (not @t493) @t487))) % 0.51/1.02 (assume @p423 (forall (@list @t380 @t402 @t399 @t397 @t383) (not (= @t411 @t398)))) % 0.51/1.02 (assume @p424 (forall @t546 (not (= tptp.c_Com_Ocom_OSKIP @t386)))) % 0.51/1.02 (assume @p425 (forall @t254 (or (= @t485 (tptp.c_Set_Oinsert @t2 @t86 @t1)) @t251))) % 0.51/1.02 (assume @p426 (forall @t107 (or @t105 @t548))) % 0.51/1.02 (assume @p427 (forall @t250 (or @t100 @t548))) % 0.51/1.02 (assume @p428 (forall @t550 (tptp.c_Map_Omap__le @t50 @t549 @t1 @t53))) % 0.51/1.02 (assume @p429 (forall @t357 (or (= (tptp.c_HOL_Ominus__class_Ominus @t138 @t275 @t27) @t29) @t245))) % 0.51/1.02 (assume @p430 (forall @t235 (= (tptp.c_Set_Ovimage @t50 @t290 @t1 @t53) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t333 @t332 @t27)))) % 0.51/1.02 (assume @p431 (forall (@list @t207 @t391) (or @t552 (not (tptp.hBOOL (tptp.hAPP @t551 @t207)))))) % 0.51/1.02 (assume @p432 (forall @t123 (or @t553 @t122))) % 0.51/1.02 (assume @p433 (forall @t123 (or @t553 @t121))) % 0.51/1.02 (assume @p434 (forall (@list @t50 @t71 @t1 @t53 @t416) (or @t417 @t555 (not @t418) (not (tptp.c_Map_Omap__le @t50 @t416 @t1 @t53))))) % 0.51/1.02 (assume @p435 (forall (@list @t192 @t29 @t1 @t9 @t2) (or @t557 @t267 @t195 @t339))) % 0.51/1.02 (assume @p436 (forall @t346 (or @t558 @t347 @t342))) % 0.51/1.02 (assume @p437 (forall (@list @t191 @t563 @t1 @t29 @t192) (or (tptp.hBOOL (tptp.hAPP @t191 @t563)) @t564 @t562 @t560))) % 0.51/1.02 (assume @p438 (forall (@list @t192 @t563 @t1 @t29 @t191) (or (tptp.hBOOL (tptp.hAPP @t192 @t563)) @t564 @t562 @t560))) % 0.51/1.02 (assume @p439 (forall (@list @t191 @t206 @t1 @t29 @t192) (or (tptp.hBOOL (tptp.hAPP @t191 @t206)) @t354 @t566 @t565))) % 0.51/1.02 (assume @p440 (forall (@list @t192 @t206 @t1 @t29 @t191) (or @t355 @t354 @t566 @t565))) % 0.51/1.02 (assume @p441 (forall @t575 (or @t574 @t573 @t569))) % 0.51/1.02 (assume @p442 (forall (@list @t1 @t9 @t12 @t29) (or @t576 @t267))) % 0.51/1.02 (assume @p443 (forall (@list @t1 @t9 @t12 @t33) (or (tptp.hBOOL (tptp.hAPP @t265 @t137)) (not (tptp.hBOOL (tptp.hAPP @t265 @t33)))))) % 0.51/1.02 (assume @p444 (forall (@list @t1 @t262 @t441 @t567 @t570) (or @t580 @t579 @t569))) % 0.51/1.02 (assume @p445 (forall (@list @t1 @t29 @t192 @t9) (or @t583 @t267 @t582))) % 0.51/1.02 (assume @p446 (forall @t92 @t584)) % 0.51/1.02 (assume @p447 (forall @t585 (or @t194 @t584))) % 0.51/1.02 (assume @p448 (forall (@list @t1 @t108) (not (tptp.hBOOL (tptp.hAPP @t340 @t37))))) % 0.51/1.02 (assume @p449 (forall @t586 (not (tptp.hBOOL (tptp.hAPP @t265 @t37))))) % 0.51/1.02 (assume @p450 (forall (@list @t1 @t262 @t440 @t567 @t570) (or @t589 @t573 @t588))) % 0.51/1.02 (assume @p451 (forall (@list @t1 @t9 @t29 @t12) (or @t266 @t225 (not @t576)))) % 0.51/1.02 (assume @p452 (forall @t575 (or @t590 @t579 @t588))) % 0.51/1.02 (assume @p453 (forall @t344 (or @t347 @t592))) % 0.51/1.02 (assume @p454 (forall @t346 (or @t341 @t592))) % 0.51/1.02 (assume @p455 (forall (@list @t1 @t29 @t192 @t9 @t2) (or @t583 @t267 @t195 @t339))) % 0.51/1.02 (assume @p456 (forall @t594 (or (tptp.hBOOL (tptp.hAPP @t192 @t593)) @t339 @t195))) % 0.51/1.02 (assume @p457 (forall (@list @t1 @t29 @t33 @t53 @t2) (or (not (= @t37 @t289)) @t425 @t258))) % 0.51/1.02 (assume @p458 (forall @t134 (= (tptp.c_HOL_Ominus__class_Ominus @t37 @t29 @t27) @t37))) % 0.51/1.02 (assume @p459 (forall (@list @t397 @t383 @t380 @t402 @t399) (not (= @t398 @t411)))) % 0.51/1.02 (assume @p460 (forall (@list @t93 @t1) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 @t461 @t1))) % 0.51/1.02 (assume @p461 (forall @t382 (not (= tptp.c_Com_Ocom_OSKIP @t381)))) % 0.51/1.02 (assume @p462 (forall @t550 (or @t595 @t555))) % 0.51/1.02 (assume @p463 (forall @t550 (or (not @t595) @t554))) % 0.51/1.02 (assume @p464 (forall @t92 (not (tptp.hBOOL (tptp.hAPP @t37 @t2))))) % 0.51/1.02 (assume @p465 (forall @t156 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t86 @t27) (tptp.c_HOL_Ominus__class_Ominus @t142 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t33 @t27) @t27)))) % 0.51/1.02 (assume @p466 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t28 @t27) @t596))) % 0.51/1.02 (assume @p467 (forall @t103 (or @t77 @t253 @t369))) % 0.51/1.02 (assume @p468 (forall @t250 (or @t368 @t253 @t78))) % 0.51/1.02 (assume @p469 (forall @t597 (not (= tptp.c_Com_Ocom_OSKIP @t422)))) % 0.51/1.02 (assume @p470 (forall @t252 (or @t253 @t339 @t489))) % 0.51/1.02 (assume @p471 (forall @t175 (= @t596 (tptp.c_HOL_Ominus__class_Ominus @t145 @t33 @t27)))) % 0.51/1.02 (assume @p472 (forall @t185 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t27)))) % 0.51/1.02 (assume @p473 (forall @t92 (or @t69 @t306))) % 0.51/1.02 (assume @p474 (forall @t92 (or @t231 @t306))) % 0.51/1.02 (assume @p475 (forall @t92 (or @t68 @t306))) % 0.51/1.02 (assume @p476 (forall (@list @t192 @t1 @t2) (or (not (= @t396 @t37)) @t195))) % 0.51/1.02 (assume @p477 (forall (@list @t391) (tptp.hBOOL (tptp.hAPP @t551 @t391)))) % 0.51/1.02 (assume @p478 (forall (@list @t402 @t399 @t397 @t383) (not (= @t403 @t398)))) % 0.51/1.02 (assume @p479 (forall @t236 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t180 @t66 @t79))) % 0.51/1.02 (assume @p480 (forall @t7 (or @t231 @t79 @t180 @t66))) % 0.51/1.02 (assume @p481 (forall (@list @t570 @t207 @t108 @t391) (or (= @t570 @t207) (not (tptp.hBOOL (tptp.hAPP @t598 @t570))) (not (tptp.hBOOL (tptp.hAPP @t598 @t207)))))) % 0.51/1.02 (assume @p482 (forall @t550 (or (= @t50 @t71) (not (tptp.c_Map_Omap__le @t71 @t50 @t1 @t53)) @t112))) % 0.51/1.02 (assume @p483 (forall @t236 (or @t231 @t180 @t66 @t79))) % 0.51/1.02 (assume @p484 (forall @t236 (or @t231 @t180 @t79 @t66))) % 0.51/1.02 (assume @p485 (forall @t7 (or @t231 @t79 @t66 @t180))) % 0.51/1.02 (assume @p486 (forall @t597 (not (= @t422 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p487 (forall @t315 (or @t6 @t599 (not (tptp.c_HOL_Oord__class_Oless @t12 @t2 @t1))))) % 0.51/1.02 (assume @p488 (forall @t315 (or @t6 @t599 (not (tptp.c_HOL_Oord__class_Oless @t9 @t2 @t1))))) % 0.51/1.02 (assume @p489 (forall (@list @t416 @t94 @t1 @t53) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t416 @t94 @t1 @t53) @t53) @t121))) % 0.51/1.02 (assume @p490 (forall @t604 (or (not (= (tptp.hAPP @t601 @t603) (tptp.hAPP @t600 @t603))) @t602))) % 0.51/1.02 (assume @p491 (forall @t607 (or @t606 @t605 @t109))) % 0.51/1.02 (assume @p492 (forall @t607 (or @t606 @t608 @t109))) % 0.51/1.02 (assume @p493 (forall @t607 (or @t606 @t605 @t609))) % 0.51/1.02 (assume @p494 (forall @t607 (or @t606 @t608 @t609))) % 0.51/1.02 (assume @p495 (forall (@list @t508 @t391 @t207 @t12 @t504) (or @t610 @t392 @t510))) % 0.51/1.02 (assume @p496 (forall @t507 (or @t506 (not (tptp.hBOOL (tptp.hAPP @t512 @t495))) @t392))) % 0.51/1.02 (assume @p497 (forall @t613 (not (= tptp.c_Com_Ocom_OSKIP @t612)))) % 0.51/1.02 (assume @p498 (forall (@list @t442 @t9 @t29 @t1 @t438 @t443 @t441 @t440 @t439 @t437 @t436) (or (= (tptp.hAPP @t442 @t273) (tptp.hAPP @t445 @t614)) @t444))) % 0.51/1.02 (assume @p499 (forall (@list @t443 @t9 @t29 @t1 @t439 @t442 @t441 @t440 @t438 @t437 @t436) (or (= (tptp.hAPP @t443 @t273) (tptp.hAPP @t448 @t615)) @t444))) % 0.51/1.02 (assume @p500 (forall (@list @t380 @t43 @t397 @t383) (not (= @t381 @t398)))) % 0.51/1.02 (assume @p501 (forall (@list @t1 @t29 @t33 @t192 @t53 @t206 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t617) @t289)) @t356 @t616 @t258))) % 0.51/1.02 (assume @p502 (forall (@list @t1 @t9 @t29) (not (= @t37 @t273)))) % 0.51/1.02 (assume @p503 (forall (@list @t93 @t532 @t1 @t618) (or @t619 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t93 @t618 @t1)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t618 @t532 @t1))))) % 0.51/1.02 (assume @p504 (forall @t136 (or (= @t538 (tptp.c_Set_Oinsert @t9 @t159 @t1)) (not @t537)))) % 0.51/1.02 (assume @p505 (forall @t135 (or (= @t536 @t415) @t267))) % 0.51/1.02 (assume @p506 (forall @t373 (= (tptp.c_Set_Oimage @t50 @t372 @t53 @t1) (tptp.c_Set_Oinsert @t413 @t234 @t1)))) % 0.51/1.02 (assume @p507 (forall @t525 (or @t524 @t526 @t519))) % 0.51/1.02 (assume @p508 (forall (@list @t50 @t9 @t12 @t1 @t53) (or (= @t413 @t12) (not (tptp.hBOOL (tptp.hAPP @t265 (tptp.c_Set_Ovimage @t50 (tptp.c_Set_Oinsert @t12 @t277 @t53) @t1 @t53))))))) % 0.51/1.02 (assume @p509 (forall @t621 (or @t620 @t451))) % 0.51/1.02 (assume @p510 (forall @t621 (or @t620 (= @t397 @t611)))) % 0.51/1.02 (assume @p511 (forall (@list @t9 @t53 @t33 @t1) (= (tptp.c_Set_Oinsert @t9 @t287 @t1) @t272))) % 0.51/1.02 (assume @p512 (forall @t622 (not (= @t403 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p513 (forall (@list @t1 @t192 @t2) (or (not (= @t37 @t396)) @t195))) % 0.51/1.02 (assume @p514 (forall @t357 (tptp.hBOOL (tptp.hAPP @t138 @t2)))) % 0.51/1.02 (assume @p515 (forall @t7 (or @t26 @t623))) % 0.51/1.02 (assume @p516 (forall @t7 (or @t6 @t623))) % 0.51/1.02 (assume @p517 (forall @t58 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t118 @t27) @t118))) % 0.51/1.02 (assume @p518 (forall @t625 (or @t624 @t49))) % 0.51/1.02 (assume @p519 (forall @t625 (or @t624 @t451))) % 0.51/1.02 (assume @p520 (forall @t625 (or @t624 (= @t388 @t421)))) % 0.51/1.02 (assume @p521 (forall (@list @t29 @t33 @t1 @t9) (or @t387 (not @t626)))) % 0.51/1.02 (assume @p522 (forall @t135 (or @t626 @t412))) % 0.51/1.02 (assume @p523 (forall (@list @t380 @t43 @t404 @t400) (not (= @t381 @t405)))) % 0.51/1.02 (assume @p524 (forall (@list @t442 @t1 @t437 @t443 @t441 @t440 @t439 @t438 @t436) (or (= (tptp.hAPP @t442 @t37) @t437) @t444))) % 0.51/1.02 (assume @p525 (forall (@list @t443 @t1 @t436 @t442 @t441 @t440 @t439 @t438 @t437) (or (= (tptp.hAPP @t443 @t37) @t436) @t444))) % 0.51/1.02 (assume @p526 (forall (@list @t12 @t391 @t207 @t108) (or @t392 @t552 (not (tptp.hBOOL (tptp.hAPP @t395 @t207)))))) % 0.51/1.02 (assume @p527 (forall @t274 (or (= @t517 @t29) @t267))) % 0.51/1.02 (assume @p528 (forall @t92 (or @t6 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t1) @t2)))) % 0.51/1.02 (assume @p529 (forall @t40 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t29 @t27) @t29))) % 0.51/1.02 (assume @p530 (forall @t299 (or (not (= @t223 @t37)) @t358))) % 0.51/1.02 (assume @p531 (forall @t586 (= @t360 @t272))) % 0.51/1.02 (assume @p532 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t28 @t27) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t329 @t27)))) % 0.51/1.02 (assume @p533 (forall (@list @t442 @t9 @t1 @t443 @t441 @t440 @t439 @t438 @t437 @t436) (or (= (tptp.hAPP @t442 @t272) @t9) @t444))) % 0.51/1.02 (assume @p534 (forall (@list @t443 @t9 @t1 @t442 @t441 @t440 @t439 @t438 @t437 @t436) (or (= (tptp.hAPP @t443 @t272) @t9) @t444))) % 0.51/1.02 (assume @p535 (forall @t92 (tptp.hBOOL (tptp.hAPP @t244 @t275)))) % 0.51/1.02 (assume @p536 (forall (@list @t383 @t45 @t385) (not (= @t384 @t386)))) % 0.51/1.02 (assume @p537 (forall @t542 (or @t490 @t195 @t339))) % 0.51/1.02 (assume @p538 (forall @t546 (not (= @t386 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p539 (forall (@list @t29 @t50 @t2 @t1 @t53) (or @t628 (not @t627)))) % 0.51/1.02 (assume @p540 (forall (@list @t50 @t29 @t1 @t53 @t2) (or @t627 (not @t628)))) % 0.51/1.02 (assume @p541 (forall (@list @t93 @t532 @t1 @t207) (or @t619 @t534))) % 0.51/1.02 (assume @p542 (forall (@list @t93 @t207 @t532 @t1) (or @t533 (not @t619) (not @t535)))) % 0.51/1.02 (assume @p543 (forall @t103 (or @t547 @t106 @t101))) % 0.51/1.02 (assume @p544 (forall @t220 (or @t219 @t218 @t629 @t67))) % 0.51/1.02 (assume @p545 (forall @t220 (or @t219 @t218 @t66 (not @t629)))) % 0.51/1.02 (assume @p546 (forall @t613 (not (= @t612 tptp.c_Com_Ocom_OSKIP)))) % 0.51/1.02 (assume @p547 (forall @t586 (= (tptp.c_Collect (tptp.hAPP @t359 @t9) @t1) @t272))) % 0.51/1.02 (assume @p548 (forall (@list @t29 @t53 @t50 @t1) (or (tptp.c_Finite__Set_Ofinite @t29 @t53) (not (tptp.c_Fun_Oinj__on @t50 @t29 @t53 @t1)) (not (tptp.c_Finite__Set_Ofinite @t223 @t1))))) % 0.51/1.02 (assume @p549 (forall @t500 (= (tptp.c_Set_Ovimage @t50 @t277 @t1 @t53) @t37))) % 0.51/1.02 (assume @p550 (forall (@list @t508 @t391 @t207 @t504 @t12) (or @t610 @t513 @t510))) % 0.51/1.02 (assume @p551 (forall @t134 (= (tptp.c_Collect (tptp.hAPP @t280 @t29) @t1) @t29))) % 0.51/1.02 (assume @p552 (forall @t622 (not (= tptp.c_Com_Ocom_OSKIP @t403)))) % 0.51/1.02 (assume @p553 (forall @t230 (or @t69 @t631 @t630))) % 0.51/1.02 (assume @p554 (forall @t7 (or @t231 @t67 @t181))) % 0.51/1.02 (assume @p555 (forall @t236 (or @t68 @t181 @t67))) % 0.51/1.02 (assume @p556 (forall @t227 (or @t68 @t630 @t631))) % 0.51/1.02 (assume @p557 (forall @t594 (or (tptp.hBOOL (tptp.hAPP @t192 @t632)) @t195 @t339))) % 0.51/1.02 (assume @p558 (forall (@list @t440 @t567 @t262 @t1 @t441 @t570) (or @t587 @t633))) % 0.51/1.02 (assume @p559 (forall (@list @t441 @t262 @t570 @t1 @t440 @t567) (or @t578 @t633))) % 0.51/1.02 (assume @p560 (forall @t344 (or @t343 @t342 @t78))) % 0.51/1.02 (assume @p561 (forall (@list @t1 @t2 @t29) (tptp.hBOOL (tptp.hAPP @t244 @t138)))) % 0.51/1.02 (assume @p562 (forall (@list @t1 @t9 @t33) (tptp.hBOOL (tptp.hAPP @t265 @t124)))) % 0.51/1.02 (assume @p563 (forall (@list @t1 @t2 @t33) (tptp.hBOOL (tptp.hAPP @t244 @t247)))) % 0.51/1.02 (assume @p564 (forall (@list @t191 @t634 @t1 @t29 @t192) (or (tptp.hBOOL (tptp.hAPP @t191 @t634)) @t635 @t566 @t560))) % 0.51/1.02 (assume @p565 (forall (@list @t192 @t634 @t1 @t29 @t191) (or (tptp.hBOOL (tptp.hAPP @t192 @t634)) @t635 @t566 @t560))) % 0.51/1.02 (assume @p566 (forall (@list @t191 @t2 @t1 @t29 @t192) (or @t196 @t339 @t562 @t565))) % 0.51/1.02 (assume @p567 (forall (@list @t192 @t2 @t1 @t29 @t191) (or @t194 @t339 @t562 @t565))) % 0.51/1.02 (assume @p568 (forall (@list @t191 @t639 @t1 @t29 @t192) (or (tptp.hBOOL (tptp.hAPP @t191 @t639)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t639) @t29))) @t638 @t637))) % 0.51/1.02 (assume @p569 (forall (@list @t192 @t640 @t1 @t29 @t191) (or (tptp.hBOOL (tptp.hAPP @t192 @t640)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t640) @t29))) @t638 @t637))) % 0.51/1.02 (assume @p570 (forall @t542 (or @t339 @t194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t641) @t29))))) % 0.51/1.02 (assume @p571 (forall (@list @t192 @t29 @t1 @t9) (or @t557 @t267 @t582))) % 0.51/1.02 (assume @p572 (forall (@list @t440 @t567 @t262 @t1 @t570) (or @t587 @t642))) % 0.51/1.02 (assume @p573 (forall (@list @t440 @t262 @t570 @t1 @t567) (or @t572 @t642))) % 0.51/1.02 (assume @p574 (forall @t344 (or @t343 @t643))) % 0.51/1.02 (assume @p575 (forall @t346 (or @t341 @t643))) % 0.51/1.02 (assume @p576 (forall @t646 (or @t645 @t644 @t339 @t79 @t240))) % 0.51/1.02 (assume @p577 (forall @t646 (or @t645 @t644 @t339 @t240 @t79))) % 0.51/1.02 (assume @p578 (forall (@list @t50 @t2 @t206 @t1 @t29 @t53) (or (not (= @t52 (tptp.hAPP @t50 @t206))) @t354 @t339 @t240 @t647))) % 0.51/1.02 (assume @p579 (forall (@list @t50 @t2 @t3 @t29 @t1 @t53) (or @t645 @t240 @t79 @t644 @t339))) % 0.51/1.02 (assume @p580 (forall @t585 (or @t195 @t584))) % 0.51/1.02 (assume @p581 (forall @t286 (or (not (= @t283 @t281)) (= @t282 @t279)))) % 0.51/1.02 (assume @p582 (forall (@list @t1 @t9 @t192) (or @t648 @t582))) % 0.51/1.02 (assume @p583 (forall (@list @t192 @t9 @t1) (or @t581 (not @t648)))) % 0.51/1.02 (assume @p584 (forall (@list @t1 @t262 @t441 @t208) (or @t650 (not @t649)))) % 0.51/1.02 (assume @p585 (forall (@list @t441 @t262 @t208 @t1) (or @t649 (not @t650)))) % 0.51/1.02 (assume @p586 (forall @t346 (or @t591 @t343 @t342))) % 0.51/1.02 (assume @p587 (forall (@list @t191 @t652 @t1 @t29 @t192) (or (tptp.hBOOL (tptp.hAPP @t191 @t652)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t652) @t29))) @t651))) % 0.51/1.02 (assume @p588 (forall (@list @t192 @t653 @t1 @t29 @t191) (or (tptp.hBOOL (tptp.hAPP @t192 @t653)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t653) @t29))) @t651))) % 0.51/1.02 (assume @p589 (forall @t542 (or @t339 @t194 (not (tptp.hBOOL (tptp.hAPP @t192 @t641)))))) % 0.51/1.02 (assume @p590 (forall @t254 (or (not (= @t138 @t247)) @t251 @t245 @t80))) % 0.51/1.02 (assume @p591 (forall @t654 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t593) @t29)) @t339 @t195))) % 0.51/1.02 (assume @p592 (forall (@list @t1 @t12 @t29 @t33 @t53 @t2) (or (tptp.hBOOL (tptp.hAPP @t488 @t289)) (not (tptp.hBOOL (tptp.hAPP @t488 @t104))) @t258))) % 0.51/1.02 (assume @p593 (forall (@list @t53 @t12 @t29 @t33 @t1 @t9) (or (tptp.hBOOL (tptp.hAPP @t655 @t268)) (not (tptp.hBOOL (tptp.hAPP @t655 @t269))) @t267))) % 0.51/1.02 (assume @p594 (forall @t658 (or @t657 (not @t656)))) % 0.51/1.02 (assume @p595 (forall (@list @t440 @t208 @t262 @t1) (or @t656 (not @t657)))) % 0.51/1.02 (assume @p596 (forall (@list @t192 @t29 @t33 @t53 @t1 @t206 @t2) (or (tptp.hBOOL (tptp.hAPP @t192 @t617)) @t356 @t616 @t258))) % 0.51/1.02 (assume @p597 (forall (@list @t1 @t9 @t50 @t33 @t53) (or @t660 (not @t659)))) % 0.51/1.02 (assume @p598 (forall (@list @t53 @t9 @t50 @t29 @t1) (or (tptp.hBOOL (tptp.hAPP @t662 @t298)) (not (tptp.hBOOL (tptp.hAPP @t661 @t29)))))) % 0.51/1.02 (assume @p599 (forall (@list @t53 @t9 @t50 @t33 @t1) (or (tptp.hBOOL (tptp.hAPP @t662 @t321)) (not (tptp.hBOOL (tptp.hAPP @t661 @t33)))))) % 0.51/1.02 (assume @p600 (forall (@list @t53 @t50 @t9 @t33 @t1) (or @t659 (not @t660)))) % 0.51/1.02 (assume @p601 (forall @t545 (or (tptp.hBOOL (tptp.hAPP @t492 @t29)) (not (tptp.hBOOL (tptp.hAPP @t265 @t333)))))) % 0.51/1.02 (assume @p602 (forall (@list @t441 @t443 @t29 @t2 @t1 @t442 @t440 @t439 @t438 @t437 @t436) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t441 @t615) @t2)) @t339 @t444))) % 0.51/1.02 (assume @p603 (forall (@list @t441 @t2 @t442 @t29 @t1 @t443 @t440 @t439 @t438 @t437 @t436) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t441 @t2) @t614)) @t339 @t444))) % 0.51/1.02 (assume @p604 (forall (@list @t441 @t262 @t570 @t1 @t567) (or @t578 @t663))) % 0.51/1.02 (assume @p605 (forall (@list @t441 @t567 @t262 @t1 @t570) (or @t568 @t663))) % 0.51/1.02 (assume @p606 (forall (@list @t192 @t29 @t33 @t1 @t2) (or @t664 @t195 @t253))) % 0.51/1.02 (assume @p607 (forall (@list @t192 @t29 @t33 @t1 @t206) (or @t664 @t356 @t354))) % 0.51/1.02 (assume @p608 (forall @t654 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t632) @t29)) @t195 @t339))) % 0.51/1.02 (assume @p609 (forall @t274 (or (= @t273 @t29) @t267))) % 0.51/1.02 (assume @p610 (forall @t658 (or @t666 (not @t665)))) % 0.51/1.02 (assume @p611 (forall (@list @t440 @t262 @t208 @t1) (or @t665 (not @t666)))) % 0.51/1.02 (assume @p612 (forall (@list @t29 @t33 @t1 @t53 @t162 @t12 @t108 @t2) (or @t668 (not (tptp.hBOOL (tptp.hAPP @t667 @t108))) @t339))) % 0.51/1.02 (assume @p613 (forall (@list @t29 @t33 @t1 @t53 @t12 @t2) (or @t669 (not (tptp.hBOOL @t667)) @t339))) % 0.51/1.02 (assume @p614 (forall (@list @t29 @t33 @t1 @t53 @t162 @t12 @t108 @t9) (or @t668 (not (tptp.hBOOL (tptp.hAPP @t670 @t108))) @t267))) % 0.51/1.02 (assume @p615 (forall (@list @t29 @t33 @t1 @t53 @t12 @t9) (or @t669 (not (tptp.hBOOL @t670)) @t267))) % 0.51/1.02 (assume @p616 (forall (@list @t440 @t262 @t570 @t1 @t441 @t567) (or @t572 @t671))) % 0.51/1.02 (assume @p617 (forall (@list @t441 @t567 @t262 @t1 @t440 @t570) (or @t568 @t671))) % 0.51/1.02 (assume @p618 (forall @t654 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t672) @t29)) @t195 @t339))) % 0.51/1.02 (assume @p619 (forall @t594 (or (tptp.hBOOL (tptp.hAPP @t192 @t672)) @t195 @t339))) % 0.51/1.02 (assume @p620 (forall (@list @t51 @t2 @t29 @t1 @t50) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 @t2) @t29))) (tptp.hBOOL (tptp.hAPP @t259 (tptp.c_Set_Oimage @t50 @t29 @t51 @t1)))))) % 0.51/1.02 (assume @p621 (forall (@list @t53 @t2 @t29 @t1 @t50) (or @t258 @t673))) % 0.51/1.02 (assume @p622 (forall (@list @t1 @t50 @t2 @t29 @t53) (or @t673 @t258))) % 0.51/1.02 (assume @p623 (forall (@list @t53 @t50 @t2 @t29 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t255 @t52) @t222)) @t339))) % 0.51/1.02 (assume @p624 (forall (@list @t111 @t9 @t1 @t53) (or (= @t676 (tptp.c_Option_Ooption_OSome (tptp.c_Map_Osko__Map__XdomD__1__1 @t9 @t111 @t1 @t53) @t53)) @t675))) % 0.51/1.02 (assume @p625 (forall @t604 (or @t602 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t243 @t603) @t677))))) % 0.51/1.02 (assume @p626 (forall (@list @t462) (or (tptp.c_Com_OWT @t466) (= @t463 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 0.51/1.02 (assume @p627 (forall (@list @t462 @t494 @t495) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t466) @t494) @t495)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t464) @t494) @t495)))))) % 0.51/1.02 (assume @p628 (forall (@list @t192 @t391 @t495) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc (tptp.c_Option_Othe @t474 tptp.tc_Com_Ocom)) @t391) @t495)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Natural_Oevalc @t473) @t391) @t495)))))) % 0.51/1.02 (assume @p629 @t679) % 0.51/1.02 (assume @p630 (forall (@list @t504 @t12 @t508) (or @t681 @t680))) % 0.51/1.02 (assume @p631 (forall (@list @t508 @t12 @t504) (or @t682 @t680))) % 0.51/1.02 (assume @p632 (forall (@list @t502 @t504) (or (tptp.c_Com_OWT @t514) @t684 @t683))) % 0.51/1.02 (assume @p633 (forall (@list @t504 @t508) (or @t681 @t685))) % 0.51/1.02 (assume @p634 (forall (@list @t508 @t504) (or @t682 @t685))) % 0.51/1.02 (assume @p635 (forall (@list @t12 @t502 @t504) (or (tptp.c_Com_OWT @t505) @t684 @t683))) % 0.51/1.02 (assume @p636 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 0.51/1.02 (assume @p637 (forall (@list @t686 @t9) (tptp.c_Com_OWT (tptp.c_Com_Ocom_OAss @t686 @t9)))) % 0.51/1.02 (assume @p638 (forall (@list @t12 @t108) (or @t687 @t433))) % 0.51/1.02 (assume @p639 (forall (@list @t108 @t12) (or @t432 (not @t687)))) % 0.51/1.02 (assume @p640 (forall (@list @t688 @t9 @t108) (or @t689 @t433))) % 0.51/1.02 (assume @p641 (forall (@list @t108 @t688 @t9) (or @t432 (not @t689)))) % 0.51/1.02 (assume @p642 (forall @t435 (or @t434 @t433 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t431) @t690)) @t428))) % 0.51/1.02 (assume @p643 (forall (@list @t207) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t207) @t207)) @t428))) % 0.51/1.02 (assume @p644 (forall @t696 (or (= @t695 (tptp.hAPP @t694 @t111)) @t693))) % 0.51/1.02 (assume @p645 (forall @t696 (or @t697 (tptp.hBOOL (tptp.hAPP @t477 (tptp.c_Map_Odom @t694 @t1 @t53)))))) % 0.51/1.02 (assume @p646 (forall (@list @t1 @t9 @t111 @t53) (or @t674 @t698))) % 0.51/1.02 (assume @p647 (forall (@list @t111 @t9 @t53 @t1) (or (not @t698) @t675))) % 0.51/1.02 (assume @p648 (forall (@list @t111 @t9 @t12 @t1 @t53) (or (not (= @t676 @t127)) (tptp.hBOOL (tptp.hAPP @t662 (tptp.c_Map_Odom @t111 @t53 @t1)))))) % 0.51/1.02 (assume @p649 (forall (@list @t601 @t2 @t600 @t1 @t53) (or (= (tptp.hAPP @t601 @t2) (tptp.hAPP @t600 @t2)) (not (tptp.hBOOL (tptp.hAPP @t244 @t677))) (not @t602)))) % 0.51/1.02 (assume @p650 (forall @t696 (or @t697 (not @t693)))) % 0.51/1.02 (assume @p651 (tptp.c_Finite__Set_Ofinite @t690 tptp.tc_Com_Opname)) % 0.51/1.02 (assume @p652 @t704) % 0.51/1.02 (assume @p653 (forall (@list @t2 @t206) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton @t647))) % 0.51/1.02 (assume @p654 (forall (@list @t1 @t2 @t279) (or @t706 (not @t705)))) % 0.51/1.02 (assume @p655 (forall (@list @t279 @t2 @t1) (or @t705 (not @t706)))) % 0.51/1.02 (assume @p656 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 0.51/1.02 (assume @p657 tptp.c_Com_OWT__bodies) % 0.51/1.02 (assume @p658 (tptp.c_Com_OWT tptp.v_c)) % 0.51/1.02 (assume @p659 @t707) % 0.51/1.02 (assume @p660 @t710) % 0.51/1.02 (assume @p661 (forall @t714 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t713) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t711))))) % 0.51/1.02 (assume @p662 (forall @t714 (or (tptp.class_Lattices_Oupper__semilattice @t713) @t715))) % 0.51/1.02 (assume @p663 (forall @t714 (or (tptp.class_Lattices_Olower__semilattice @t713) @t715))) % 0.51/1.02 (assume @p664 (forall @t714 (or (tptp.class_Lattices_Odistrib__lattice @t713) (not (tptp.class_Lattices_Odistrib__lattice @t711))))) % 0.51/1.02 (assume @p665 (forall @t714 (or (tptp.class_Lattices_Obounded__lattice @t713) (not (tptp.class_Lattices_Obounded__lattice @t711))))) % 0.51/1.02 (assume @p666 (forall @t714 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t713) @t716 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t712))))) % 0.51/1.02 (assume @p667 (forall @t714 (or (tptp.class_Orderings_Opreorder @t713) (not (tptp.class_Orderings_Opreorder @t711))))) % 0.51/1.02 (assume @p668 (forall @t714 (or (tptp.class_Lattices_Olattice @t713) @t715))) % 0.51/1.02 (assume @p669 (forall @t714 (or (tptp.class_Orderings_Oorder @t713) (not (tptp.class_Orderings_Oorder @t711))))) % 0.51/1.02 (assume @p670 (forall @t714 (or (tptp.class_Orderings_Obot @t713) (not (tptp.class_Orderings_Obot @t711))))) % 0.51/1.02 (assume @p671 (forall @t714 (or (tptp.class_HOL_Oord @t713) (not (tptp.class_HOL_Oord @t711))))) % 0.51/1.02 (assume @p672 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.51/1.02 (assume @p673 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.51/1.02 (assume @p674 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.51/1.02 (assume @p675 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.51/1.02 (assume @p676 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.51/1.02 (assume @p677 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.51/1.02 (assume @p678 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.51/1.02 (assume @p679 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.51/1.02 (assume @p680 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.51/1.02 (assume @p681 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.51/1.02 (assume @p682 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.51/1.02 (assume @p683 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.51/1.02 (assume @p684 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.51/1.02 (assume @p685 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.51/1.02 (assume @p686 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.51/1.02 (assume @p687 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.51/1.02 (assume @p688 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.51/1.02 (assume @p689 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.51/1.02 (assume @p690 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.51/1.02 (assume @p691 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.51/1.02 (assume @p692 (forall (@list @t711) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t711)) @t716))) % 0.51/1.02 (assume @p693 (forall @t92 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t359 @t2) @t2)))) % 0.51/1.02 (assume @p694 (forall (@list @t686 @t688 @t1) (or (= @t686 @t688) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t359 @t686) @t688)))))) % 0.51/1.02 (step @p695 :rule instantiate :premises (@p624) :args ((@list tptp.c_Com_Obody tptp.v_pn tptp.tc_Com_Opname tptp.tc_Com_Ocom))) % 0.51/1.02 (step @p696 :rule cnf_or_pos :args (@t721)) % 0.51/1.02 (step @p697 :rule reordering :premises (@p696) :args ((or @t717 @t720 (not @t721)))) % 0.51/1.02 (step @p698 :rule chain_m_resolution :premises (@p697 @p659 @p695) :args (@t720 @t722 (@list @t707 @t721))) % 0.51/1.02 (step @p699 :rule eq-symm :args (@t678 @t2)) % 0.51/1.02 (step @p700 :rule cong :premises (@p699) :args (@t679)) % 0.51/1.02 (step @p701 :rule eq_resolve :premises (@p629 @p700)) % 0.51/1.02 (step @p702 :rule instantiate :premises (@p701) :args ((@list @t718 tptp.tc_Com_Ocom))) % 0.51/1.02 (step @p703 :rule quant-miniscope-or :args ((= (forall @t703 @t725) (or @t700 @t724)))) % 0.51/1.02 (step @p704 :rule aci_norm :args ((= @t702 @t725))) % 0.51/1.02 (step @p705 :rule cong :premises (@p704) :args (@t704)) % 0.51/1.02 (step @p706 :rule trans :premises (@p705 @p703)) % 0.51/1.02 (step @p707 :rule eq_resolve :premises (@p652 @p706)) % 0.51/1.02 (step @p708 :rule chain_m_resolution :premises (@p707 @p657) :args (@t724 (@list false) (@list tptp.c_Com_OWT__bodies))) % 0.51/1.02 (step @p709 :rule instantiate :premises (@p708) :args ((@list tptp.v_pn @t718))) % 0.51/1.02 (step @p710 :rule cnf_or_pos :args (@t728)) % 0.51/1.02 (step @p711 :rule reordering :premises (@p710) :args ((or @t727 @t726 (not @t728)))) % 0.51/1.02 (step @p712 :rule chain_m_resolution :premises (@p711 @p698 @p709) :args (@t726 @t722 (@list @t720 @t728))) % 0.51/1.02 (step @p713 :rule refl :args (@t729)) % 0.51/1.02 (step @p714 :rule refl :args (@t732)) % 0.51/1.02 (step @p715 :rule refl :args (@t727)) % 0.51/1.02 (step @p716 :rule bool-double-not-elim :args (@t709)) % 0.51/1.02 (step @p717 :rule nary_cong :premises (@p716 @p715 @p714 @p713) :args ((or (not @t710) @t727 @t732 @t729))) % 0.51/1.02 (assume-push @p738 @t710) % 0.51/1.02 (assume-push @p739 @t720) % 0.51/1.02 (assume-push @p740 @t731) % 0.51/1.02 (step @p721 :rule false_intro :premises (@p660)) % 0.51/1.02 (step @p722 :rule refl :args (tptp.tc_Com_Ocom)) % 0.51/1.02 (step @p723 :rule symm :premises (@p698)) % 0.51/1.02 (step @p724 :rule cong :premises (@p723 @p722) :args (@t730)) % 0.51/1.02 (step @p725 :rule trans :premises (@p702 @p724)) % 0.51/1.02 (step @p726 :rule cong :premises (@p725) :args (@t726)) % 0.51/1.02 (step @p727 :rule trans :premises (@p726 @p721)) % 0.51/1.02 (step @p728 :rule false_elim :premises (@p727)) % 0.51/1.02 (step-pop @p741 :rule scope :premises (@p728)) % 0.51/1.02 (step-pop @p742 :rule scope :premises (@p741)) % 0.51/1.02 (step-pop @p743 :rule scope :premises (@p742)) % 0.51/1.02 (step @p729 :rule process_scope :premises (@p743) :args (@t729)) % 0.51/1.02 (step @p733 :rule implies_elim :premises (@p729)) % 0.51/1.02 (step @p734 :rule cnf_and_neg :args (@t733)) % 0.51/1.02 (step @p735 :rule resolution :premises (@p734 @p733) :args (true @t733)) % 0.51/1.02 (step @p736 :rule eq_resolve :premises (@p735 @p717)) % 0.51/1.02 (step @p737 false :rule chain_m_resolution :premises (@p736 @p712 @p702 @p698 @p660) :args (false (@list false false false true) (@list @t726 @t731 @t720 @t709))) % 0.51/1.02 ) % 0.51/1.02 % SZS output end Proof % 0.51/1.02 % cvc5 exiting %------------------------------------------------------------------------------