%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT052-1 : 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 : n012.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 08:46:13 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SCT052-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:20:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.26/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.55 % SZS status Unsatisfiable % 0.35/0.55 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.v_c____ $$unsorted) % 0.35/0.57 (declare-const tptp.v_P_H____ (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.v_sko__local__X1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_F $$unsorted) % 0.35/0.57 (declare-const tptp.v_b____ $$unsorted) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 0.35/0.57 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_a____ $$unsorted) % 0.35/0.57 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_r $$unsorted) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.35/0.57 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.35/0.57 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.t_a $$unsorted) % 0.35/0.57 (declare-const tptp.t_b $$unsorted) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.tc_bool $$unsorted) % 0.35/0.57 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.v_P____ $$unsorted) % 0.35/0.57 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.v_sko__local__X2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.35/0.57 (define @t2 () (@var "V_z" $$unsorted)) % 0.35/0.57 (define @t3 () (@var "V_y" $$unsorted)) % 0.35/0.57 (define @t4 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 0.35/0.57 (define @t5 () (@var "V_x" $$unsorted)) % 0.35/0.57 (define @t6 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t1)) % 0.35/0.57 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 0.35/0.57 (define @t8 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t2 @t1) @t6)) % 0.35/0.57 (define @t9 () (not (tptp.class_Lattices_Olattice @t1))) % 0.35/0.57 (define @t10 () (@list @t1 @t5 @t3 @t2)) % 0.35/0.57 (define @t11 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 0.35/0.57 (define @t12 () (= @t6 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t11 @t1))) % 0.35/0.57 (define @t13 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.35/0.57 (define @t14 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.35/0.57 (define @t15 () (@var "V_C" $$unsorted)) % 0.35/0.57 (define @t16 () (@var "V_B" $$unsorted)) % 0.35/0.57 (define @t17 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t15 @t14)) % 0.35/0.57 (define @t18 () (@var "V_A" $$unsorted)) % 0.35/0.57 (define @t19 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t17 @t14)) % 0.35/0.57 (define @t20 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t14)) % 0.35/0.57 (define @t21 () (@list @t18 @t16 @t1 @t15)) % 0.35/0.57 (define @t22 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t15 @t14)) % 0.35/0.57 (define @t23 () (@list @t18 @t16 @t15 @t1)) % 0.35/0.57 (define @t24 () (@var "T_b" $$unsorted)) % 0.35/0.57 (define @t25 () (tptp.tc_fun @t24 tptp.tc_bool)) % 0.35/0.57 (define @t26 () (@var "V_f" $$unsorted)) % 0.35/0.57 (define @t27 () (tptp.c_Set_Oimage @t26 @t16 @t24 @t1)) % 0.35/0.57 (define @t28 () (tptp.c_Set_Oimage @t26 @t18 @t24 @t1)) % 0.35/0.57 (define @t29 () (@var "V_y_H" $$unsorted)) % 0.35/0.57 (define @t30 () (@var "V_x_H" $$unsorted)) % 0.35/0.57 (define @t31 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t29 @t1)) % 0.35/0.57 (define @t32 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1)) % 0.35/0.57 (define @t33 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.35/0.57 (define @t34 () (@var "V_xa" $$unsorted)) % 0.35/0.57 (define @t35 () (tptp.tc_prod @t1 @t24)) % 0.35/0.57 (define @t36 () (tptp.tc_fun @t35 tptp.tc_bool)) % 0.35/0.57 (define @t37 () (tptp.c_COMBK @t16 @t25 @t1)) % 0.35/0.57 (define @t38 () (@var "V_r" $$unsorted)) % 0.35/0.57 (define @t39 () (not (tptp.c_lessequals @t38 (tptp.c_Product__Type_OSigma @t18 @t37 @t1 @t24) @t36))) % 0.35/0.57 (define @t40 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t14)) % 0.35/0.57 (define @t41 () (@list @t18 @t16 @t1)) % 0.35/0.57 (define @t42 () (@var "V_P" $$unsorted)) % 0.35/0.57 (define @t43 () (@var "V_Q" $$unsorted)) % 0.35/0.57 (define @t44 () (tptp.c_Set_Oinsert @t5 @t18 @t1)) % 0.35/0.57 (define @t45 () (tptp.c_Set_Oinsert @t3 @t18 @t1)) % 0.35/0.57 (define @t46 () (@var "V_R" $$unsorted)) % 0.35/0.57 (define @t47 () (tptp.c_Wellfounded_Owf @t46 @t1)) % 0.35/0.57 (define @t48 () (not @t47)) % 0.35/0.57 (define @t49 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t42 @t46 @t1)) % 0.35/0.57 (define @t50 () (@var "V_Rb" $$unsorted)) % 0.35/0.57 (define @t51 () (tptp.c_Relation_OImage @t46 @t16 @t24 @t1)) % 0.35/0.57 (define @t52 () (tptp.c_Relation_OImage @t46 @t18 @t24 @t1)) % 0.35/0.57 (define @t53 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t25)) % 0.35/0.57 (define @t54 () (@list @t46 @t18 @t16 @t24 @t1)) % 0.35/0.57 (define @t55 () (@var "V_S" $$unsorted)) % 0.35/0.57 (define @t56 () (tptp.tc_prod @t24 @t1)) % 0.35/0.57 (define @t57 () (tptp.tc_fun @t56 tptp.tc_bool)) % 0.35/0.57 (define @t58 () (@var "V_r_H" $$unsorted)) % 0.35/0.57 (define @t59 () (not (tptp.c_lessequals @t58 @t38 @t36))) % 0.35/0.57 (define @t60 () (@var "T_c" $$unsorted)) % 0.35/0.57 (define @t61 () (tptp.tc_prod @t24 @t60)) % 0.35/0.57 (define @t62 () (tptp.tc_fun @t61 tptp.tc_bool)) % 0.35/0.57 (define @t63 () (@var "V_s" $$unsorted)) % 0.35/0.57 (define @t64 () (@var "V_s_H" $$unsorted)) % 0.35/0.57 (define @t65 () (tptp.tc_prod @t1 @t60)) % 0.35/0.57 (define @t66 () (tptp.tc_fun @t65 tptp.tc_bool)) % 0.35/0.57 (define @t67 () (tptp.c_Relation_Orel__comp @t38 @t63 @t1 @t24 @t60)) % 0.35/0.57 (define @t68 () (@list @t1 @t5)) % 0.35/0.57 (define @t69 () (@list @t18 @t1)) % 0.35/0.57 (define @t70 () (tptp.c_Relation_Orefl__on @t18 @t38 @t1)) % 0.35/0.57 (define @t71 () (not @t70)) % 0.35/0.57 (define @t72 () (tptp.tc_prod @t1 @t1)) % 0.35/0.57 (define @t73 () (tptp.tc_fun @t72 tptp.tc_bool)) % 0.35/0.57 (define @t74 () (tptp.c_Product__Type_OSigma @t18 (tptp.c_COMBK @t18 @t14 @t1) @t1 @t1)) % 0.35/0.57 (define @t75 () (tptp.c_lessequals @t38 @t74 @t73)) % 0.35/0.57 (define @t76 () (@list @t38 @t18 @t1)) % 0.35/0.57 (define @t77 () (tptp.c_Relation_OId__on @t18 @t1)) % 0.35/0.57 (define @t78 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t5 @t1)) % 0.35/0.57 (define @t79 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.35/0.57 (define @t80 () (@list @t1 @t3 @t2 @t5)) % 0.35/0.57 (define @t81 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t2 @t1)) % 0.35/0.57 (define @t82 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t3 @t1)) % 0.35/0.57 (define @t83 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t82 @t81 @t1)) % 0.35/0.57 (define @t84 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t4 @t1)) % 0.35/0.57 (define @t85 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t15 @t14)) % 0.35/0.57 (define @t86 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t14)) % 0.35/0.57 (define @t87 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t17 @t14)) % 0.35/0.57 (define @t88 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t18 @t14)) % 0.35/0.57 (define @t89 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t18 @t14)) % 0.35/0.57 (define @t90 () (@list @t16 @t15 @t1 @t18)) % 0.35/0.57 (define @t91 () (tptp.c_Relation_ODomain @t16 @t1 @t24)) % 0.35/0.57 (define @t92 () (tptp.c_Relation_ODomain @t18 @t1 @t24)) % 0.35/0.57 (define @t93 () (not (tptp.c_in @t5 @t18 @t24))) % 0.35/0.57 (define @t94 () (tptp.hAPP @t26 @t5)) % 0.35/0.57 (define @t95 () (not (tptp.c_in @t5 @t15 @t1))) % 0.35/0.57 (define @t96 () (tptp.c_COMBK @t15 @t14 @t24)) % 0.35/0.57 (define @t97 () (tptp.c_Product__Type_OSigma @t16 @t96 @t24 @t1)) % 0.35/0.57 (define @t98 () (tptp.c_Product__Type_OSigma @t18 @t96 @t24 @t1)) % 0.35/0.57 (define @t99 () (tptp.c_lessequals @t98 @t97 @t57)) % 0.35/0.57 (define @t100 () (tptp.c_lessequals @t18 @t16 @t25)) % 0.35/0.57 (define @t101 () (@list @t18 @t15 @t1 @t24 @t16 @t5)) % 0.35/0.57 (define @t102 () (tptp.c_in @t5 @t16 @t1)) % 0.35/0.57 (define @t103 () (not @t102)) % 0.35/0.57 (define @t104 () (tptp.c_HOL_Ominus__class_Ominus @t44 @t16 @t14)) % 0.35/0.57 (define @t105 () (@list @t5 @t18 @t1 @t16)) % 0.35/0.57 (define @t106 () (tptp.c_lessequals @t44 @t16 @t14)) % 0.35/0.57 (define @t107 () (not @t106)) % 0.35/0.57 (define @t108 () (tptp.c_lessequals @t18 @t16 @t14)) % 0.35/0.57 (define @t109 () (@list @t18 @t16 @t1 @t5)) % 0.35/0.57 (define @t110 () (not @t108)) % 0.35/0.57 (define @t111 () (@var "V_b" $$unsorted)) % 0.35/0.57 (define @t112 () (tptp.c_Set_Oinsert @t111 @t16 @t1)) % 0.35/0.57 (define @t113 () (tptp.c_Relation_ORange @t16 @t24 @t1)) % 0.35/0.57 (define @t114 () (tptp.c_Relation_ORange @t18 @t24 @t1)) % 0.35/0.57 (define @t115 () (tptp.c_Wellfounded_Owf @t38 @t1)) % 0.35/0.57 (define @t116 () (not @t115)) % 0.35/0.57 (define @t117 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t42 @t38 @t1)) % 0.35/0.57 (define @t118 () (@var "V_a" $$unsorted)) % 0.35/0.57 (define @t119 () (tptp.hBOOL (tptp.hAPP @t42 @t118))) % 0.35/0.57 (define @t120 () (@list @t42 @t118 @t38 @t1)) % 0.35/0.57 (define @t121 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t55 @t73)) % 0.35/0.57 (define @t122 () (tptp.c_Transitive__Closure_Ortrancl @t121 @t1)) % 0.35/0.57 (define @t123 () (tptp.c_Transitive__Closure_Ortrancl @t55 @t1)) % 0.35/0.57 (define @t124 () (tptp.c_Transitive__Closure_Ortrancl @t46 @t1)) % 0.35/0.57 (define @t125 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t123 @t73)) % 0.35/0.57 (define @t126 () (@list @t46 @t1 @t55)) % 0.35/0.57 (define @t127 () (tptp.c_Set_Oinsert @t118 @t16 @t1)) % 0.35/0.57 (define @t128 () (@list @t118 @t16 @t1 @t15)) % 0.35/0.57 (define @t129 () (@list @t18 @t118 @t16 @t1)) % 0.35/0.57 (define @t130 () (tptp.c_Set_Oinsert @t118 @t86 @t1)) % 0.35/0.57 (define @t131 () (tptp.c_Set_Oinsert @t118 @t18 @t1)) % 0.35/0.57 (define @t132 () (@list @t5 @t18 @t1)) % 0.35/0.57 (define @t133 () (tptp.hBOOL (tptp.hAPP @t45 @t5))) % 0.35/0.57 (define @t134 () (= @t3 @t5)) % 0.35/0.57 (define @t135 () (tptp.hBOOL (tptp.hAPP @t18 @t5))) % 0.35/0.57 (define @t136 () (tptp.c_Relation_ODomain @t38 @t1 @t24)) % 0.35/0.57 (define @t137 () (tptp.c_Pair @t118 @t111 @t1 @t24)) % 0.35/0.57 (define @t138 () (@list @t118 @t111 @t1 @t24 @t38)) % 0.35/0.57 (define @t139 () (tptp.c_Relation_Osym @t38 @t1)) % 0.35/0.57 (define @t140 () (not @t139)) % 0.35/0.57 (define @t141 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t63 @t73)) % 0.35/0.57 (define @t142 () (not (tptp.c_lessequals @t38 @t63 @t73))) % 0.35/0.57 (define @t143 () (tptp.c_Transitive__Closure_Ortrancl @t63 @t1)) % 0.35/0.57 (define @t144 () (tptp.c_Transitive__Closure_Ortrancl @t38 @t1)) % 0.35/0.57 (define @t145 () (tptp.c_lessequals @t144 @t143 @t73)) % 0.35/0.57 (define @t146 () (@list @t38 @t1 @t63)) % 0.35/0.57 (define @t147 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t16 @t25)) % 0.35/0.57 (define @t148 () (@list @t26 @t18 @t16 @t24 @t1)) % 0.35/0.57 (define @t149 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t52 @t51 @t14)) % 0.35/0.57 (define @t150 () (tptp.c_Relation_OImage @t46 @t147 @t24 @t1)) % 0.35/0.57 (define @t151 () (tptp.c_lessequals @t15 @t18 @t14)) % 0.35/0.57 (define @t152 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t15 @t14) @t87)) % 0.35/0.57 (define @t153 () (not @t151)) % 0.35/0.57 (define @t154 () (@var "V_J" $$unsorted)) % 0.35/0.57 (define @t155 () (tptp.c_Product__Type_OSigma @t154 @t15 @t1 @t24)) % 0.35/0.57 (define @t156 () (@var "V_I" $$unsorted)) % 0.35/0.57 (define @t157 () (tptp.c_Product__Type_OSigma @t156 @t15 @t1 @t24)) % 0.35/0.57 (define @t158 () (@list @t156 @t154 @t1 @t15 @t24)) % 0.35/0.57 (define @t159 () (tptp.tc_fun @t60 tptp.tc_bool)) % 0.35/0.57 (define @t160 () (tptp.c_Wellfounded_Owf @t121 @t1)) % 0.35/0.57 (define @t161 () (@list @t46 @t55 @t1)) % 0.35/0.57 (define @t162 () (tptp.hBOOL (tptp.hAPP @t20 @t5))) % 0.35/0.57 (define @t163 () (tptp.hAPP @t16 @t5)) % 0.35/0.57 (define @t164 () (tptp.hBOOL @t163)) % 0.35/0.57 (define @t165 () (@list @t16 @t5 @t18 @t1)) % 0.35/0.57 (define @t166 () (not @t164)) % 0.35/0.57 (define @t167 () (not @t135)) % 0.35/0.57 (define @t168 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 0.35/0.57 (define @t169 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t168 @t1)) % 0.35/0.57 (define @t170 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t82 @t2 @t1) @t169)) % 0.35/0.57 (define @t171 () (= @t169 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t81 @t1))) % 0.35/0.57 (define @t172 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.35/0.57 (define @t173 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t15 @t14)) % 0.35/0.57 (define @t174 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t173 @t14)) % 0.35/0.57 (define @t175 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t111 @t16 @t24) @t25 @t1)) % 0.35/0.57 (define @t176 () (@list @t15 @t18 @t16 @t1)) % 0.35/0.57 (define @t177 () (tptp.c_HOL_Ominus__class_Ominus @t85 @t173 @t14)) % 0.35/0.57 (define @t178 () (tptp.c_lessequals @t18 @t15 @t14)) % 0.35/0.57 (define @t179 () (not @t178)) % 0.35/0.57 (define @t180 () (@var "V_D" $$unsorted)) % 0.35/0.57 (define @t181 () (@list @t18 @t16 @t1 @t15 @t180)) % 0.35/0.57 (define @t182 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t11 @t1)) % 0.35/0.57 (define @t183 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t168 @t1)) % 0.35/0.57 (define @t184 () (@list @t18 @t15 @t1 @t16)) % 0.35/0.57 (define @t185 () (@list @t1 @t5 @t3)) % 0.35/0.57 (define @t186 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t42 @t38 @t1)) % 0.35/0.57 (define @t187 () (@var "V_xb" $$unsorted)) % 0.35/0.57 (define @t188 () (tptp.c_Relation_Oconverse @t38 @t1 @t1)) % 0.35/0.57 (define @t189 () (tptp.c_Wellfounded_Oacyclic @t188 @t1)) % 0.35/0.57 (define @t190 () (tptp.c_Wellfounded_Oacyclic @t38 @t1)) % 0.35/0.57 (define @t191 () (@list @t38 @t1)) % 0.35/0.57 (define @t192 () (not @t190)) % 0.35/0.57 (define @t193 () (not (tptp.c_lessequals @t16 @t18 @t14))) % 0.35/0.57 (define @t194 () (= @t18 @t16)) % 0.35/0.57 (define @t195 () (tptp.c_lessequals @t5 @t3 @t1)) % 0.35/0.57 (define @t196 () (not @t195)) % 0.35/0.57 (define @t197 () (tptp.c_lessequals @t3 @t5 @t1)) % 0.35/0.57 (define @t198 () (not @t197)) % 0.35/0.57 (define @t199 () (= @t5 @t3)) % 0.35/0.57 (define @t200 () (not (tptp.class_Orderings_Oorder @t1))) % 0.35/0.57 (define @t201 () (= @t7 @t3)) % 0.35/0.57 (define @t202 () (= @t20 @t16)) % 0.35/0.57 (define @t203 () (not @t75)) % 0.35/0.57 (define @t204 () (tptp.c_Transitive__Closure_Otrancl @t38 @t1)) % 0.35/0.57 (define @t205 () (@list @t38 @t1 @t18)) % 0.35/0.57 (define @t206 () (tptp.c_in @t118 @t15 @t1)) % 0.35/0.57 (define @t207 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t127 @t15 @t14)) % 0.35/0.57 (define @t208 () (tptp.c_in @t118 @t18 @t1)) % 0.35/0.57 (define @t209 () (not @t208)) % 0.35/0.57 (define @t210 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t127 @t14)) % 0.35/0.57 (define @t211 () (tptp.hAPP @t26 @t118)) % 0.35/0.57 (define @t212 () (not (tptp.c_lessequals @t16 @t180 @t14))) % 0.35/0.57 (define @t213 () (tptp.c_Relation_Oconverse @t38 @t24 @t1)) % 0.35/0.57 (define @t214 () (tptp.c_lessequals @t82 @t5 @t1)) % 0.35/0.57 (define @t215 () (tptp.tc_fun @t1 @t24)) % 0.35/0.57 (define @t216 () (not (tptp.c_in @t26 (tptp.c_FuncSet_OPi @t18 @t37 @t1 @t24) @t215))) % 0.35/0.57 (define @t217 () (tptp.c_Set_Oimage @t26 @t18 @t1 @t24)) % 0.35/0.57 (define @t218 () (@list @t26 @t18 @t1 @t24 @t16)) % 0.35/0.57 (define @t219 () (= @t82 @t5)) % 0.35/0.57 (define @t220 () (tptp.c_lessequals @t16 @t15 @t14)) % 0.35/0.57 (define @t221 () (not @t220)) % 0.35/0.57 (define @t222 () (tptp.c_lessequals @t20 @t15 @t14)) % 0.35/0.57 (define @t223 () (@list @t16 @t18 @t1)) % 0.35/0.57 (define @t224 () (tptp.c_lessequals @t118 @t5 @t1)) % 0.35/0.57 (define @t225 () (not @t224)) % 0.35/0.57 (define @t226 () (tptp.c_lessequals @t111 @t5 @t1)) % 0.35/0.57 (define @t227 () (not @t226)) % 0.35/0.57 (define @t228 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t111 @t1)) % 0.35/0.57 (define @t229 () (tptp.c_lessequals @t228 @t5 @t1)) % 0.35/0.57 (define @t230 () (@list @t1 @t118 @t111 @t5)) % 0.35/0.57 (define @t231 () (tptp.c_lessequals @t5 @t7 @t1)) % 0.35/0.57 (define @t232 () (tptp.c_lessequals @t3 @t7 @t1)) % 0.35/0.57 (define @t233 () (@list @t1 @t3 @t5)) % 0.35/0.57 (define @t234 () (tptp.c_lessequals @t2 @t5 @t1)) % 0.35/0.57 (define @t235 () (tptp.c_lessequals @t5 @t2 @t1)) % 0.35/0.57 (define @t236 () (not @t235)) % 0.35/0.57 (define @t237 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.35/0.57 (define @t238 () (not @t237)) % 0.35/0.57 (define @t239 () (tptp.c_lessequals @t7 @t2 @t1)) % 0.35/0.57 (define @t240 () (= @t82 @t78)) % 0.35/0.57 (define @t241 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t18 @t14)) % 0.35/0.57 (define @t242 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t241 @t14)) % 0.35/0.57 (define @t243 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t18 @t14)) % 0.35/0.57 (define @t244 () (@list @t5 @t16 @t1 @t18)) % 0.35/0.57 (define @t245 () (tptp.c_in @t5 @t18 @t1)) % 0.35/0.57 (define @t246 () (not @t245)) % 0.35/0.57 (define @t247 () (@list @t26 @t5 @t18 @t1 @t24)) % 0.35/0.57 (define @t248 () (tptp.c_Set_Oinsert @t5 @t16 @t1)) % 0.35/0.57 (define @t249 () (tptp.c_lessequals @t18 @t248 @t14)) % 0.35/0.57 (define @t250 () (@list @t18 @t5 @t16 @t1)) % 0.35/0.57 (define @t251 () (not @t249)) % 0.35/0.57 (define @t252 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t18 @t38 @t1)) % 0.35/0.57 (define @t253 () (not @t252)) % 0.35/0.57 (define @t254 () (tptp.c_Relation_Ototal__on @t18 @t38 @t1)) % 0.35/0.57 (define @t255 () (@list @t18 @t38 @t1)) % 0.35/0.57 (define @t256 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t18 @t14)) % 0.35/0.57 (define @t257 () (@var "V_T" $$unsorted)) % 0.35/0.57 (define @t258 () (tptp.tc_prod @t60 @t24)) % 0.35/0.57 (define @t259 () (tptp.c_lessequals @t15 @t86 @t14)) % 0.35/0.57 (define @t260 () (not @t259)) % 0.35/0.57 (define @t261 () (tptp.c_lessequals @t15 @t16 @t14)) % 0.35/0.57 (define @t262 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t111 @t1)) % 0.35/0.57 (define @t263 () (tptp.c_lessequals @t5 @t262 @t1)) % 0.35/0.57 (define @t264 () (not @t263)) % 0.35/0.57 (define @t265 () (tptp.c_lessequals @t5 @t118 @t1)) % 0.35/0.57 (define @t266 () (@list @t1 @t5 @t118 @t111)) % 0.35/0.57 (define @t267 () (tptp.c_lessequals @t5 @t111 @t1)) % 0.35/0.57 (define @t268 () (tptp.c_lessequals @t262 @t5 @t1)) % 0.35/0.57 (define @t269 () (tptp.c_lessequals @t5 @t168 @t1)) % 0.35/0.57 (define @t270 () (not @t269)) % 0.35/0.57 (define @t271 () (@list @t1 @t5 @t2 @t3)) % 0.35/0.57 (define @t272 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t14)) % 0.35/0.57 (define @t273 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t15 @t14)) % 0.35/0.57 (define @t274 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 0.35/0.57 (define @t275 () (= @t7 @t274)) % 0.35/0.57 (define @t276 () (@var "V_R2" $$unsorted)) % 0.35/0.57 (define @t277 () (@var "V_R1" $$unsorted)) % 0.35/0.57 (define @t278 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t7 @t1) @t7)) % 0.35/0.57 (define @t279 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t42 @t38 @t1)) % 0.35/0.57 (define @t280 () (tptp.hBOOL (tptp.hAPP @t86 @t5))) % 0.35/0.57 (define @t281 () (not @t280)) % 0.35/0.57 (define @t282 () (tptp.c_Relation_ORange @t38 @t24 @t1)) % 0.35/0.57 (define @t283 () (tptp.c_lessequals @t18 @t17 @t14)) % 0.35/0.57 (define @t284 () (tptp.c_lessequals @t40 @t15 @t14)) % 0.35/0.57 (define @t285 () (@var "V_g" $$unsorted)) % 0.35/0.57 (define @t286 () (= (tptp.c_Recdef_Ocut @t26 @t38 @t5 @t1 @t24) (tptp.c_Recdef_Ocut @t285 @t38 @t5 @t1 @t24))) % 0.35/0.57 (define @t287 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t26 @t285 @t38 @t5 @t1 @t24)) % 0.35/0.57 (define @t288 () (tptp.c_Pair @t3 @t5 @t1 @t1)) % 0.35/0.57 (define @t289 () (tptp.c_Set_Oinsert @t288 @t38 @t72)) % 0.35/0.57 (define @t290 () (tptp.c_Wellfounded_Oacyclic @t289 @t1)) % 0.35/0.57 (define @t291 () (not @t290)) % 0.35/0.57 (define @t292 () (@list @t38 @t1 @t3 @t5)) % 0.35/0.57 (define @t293 () (@var "V_c" $$unsorted)) % 0.35/0.57 (define @t294 () (tptp.c_in @t293 @t18 @t1)) % 0.35/0.57 (define @t295 () (not @t294)) % 0.35/0.57 (define @t296 () (tptp.c_in @t293 @t16 @t1)) % 0.35/0.57 (define @t297 () (not @t296)) % 0.35/0.57 (define @t298 () (tptp.c_in @t293 @t86 @t1)) % 0.35/0.57 (define @t299 () (@list @t293 @t18 @t16 @t1)) % 0.35/0.57 (define @t300 () (tptp.c_in @t118 (tptp.c_Set_Oinsert @t111 @t18 @t1) @t1)) % 0.35/0.57 (define @t301 () (@var "V_t" $$unsorted)) % 0.35/0.57 (define @t302 () (@list @t293 @t16 @t1 @t18)) % 0.35/0.57 (define @t303 () (tptp.c_in @t293 @t20 @t1)) % 0.35/0.57 (define @t304 () (= @t118 @t111)) % 0.35/0.57 (define @t305 () (tptp.c_in @t293 @t40 @t1)) % 0.35/0.57 (define @t306 () (not @t305)) % 0.35/0.57 (define @t307 () (@list @t293 @t18 @t1 @t16)) % 0.35/0.57 (define @t308 () (not @t298)) % 0.35/0.57 (define @t309 () (@var "T_aa" $$unsorted)) % 0.35/0.57 (define @t310 () (tptp.c_in @t94 @t28 @t1)) % 0.35/0.57 (define @t311 () (@list @t5 @t18 @t24 @t26 @t1)) % 0.35/0.57 (define @t312 () (tptp.c_Pair @t118 @t111 @t1 @t1)) % 0.35/0.57 (define @t313 () (tptp.c_in @t312 @t144 @t72)) % 0.35/0.57 (define @t314 () (not @t313)) % 0.35/0.57 (define @t315 () (tptp.c_Relation_OId @t1)) % 0.35/0.57 (define @t316 () (tptp.c_HOL_Ominus__class_Ominus @t38 @t315 @t73)) % 0.35/0.57 (define @t317 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t118 @t111 @t38 @t1)) % 0.35/0.57 (define @t318 () (@list @t118 @t111 @t38 @t1)) % 0.35/0.57 (define @t319 () (tptp.c_lessequals @t82 @t3 @t1)) % 0.35/0.57 (define @t320 () (not @t265)) % 0.35/0.57 (define @t321 () (not @t267)) % 0.35/0.57 (define @t322 () (tptp.c_COMBK @t15 @t25 @t1)) % 0.35/0.57 (define @t323 () (tptp.c_Product__Type_OSigma @t16 @t322 @t1 @t24)) % 0.35/0.57 (define @t324 () (tptp.c_Product__Type_OSigma @t18 @t322 @t1 @t24)) % 0.35/0.57 (define @t325 () (@list @t18 @t16 @t1 @t15 @t24)) % 0.35/0.57 (define @t326 () (tptp.c_Relation_Otrans @t38 @t1)) % 0.35/0.57 (define @t327 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t82 @t1) @t82)) % 0.35/0.57 (define @t328 () (not @t239)) % 0.35/0.57 (define @t329 () (tptp.c_lessequals @t5 @t228 @t1)) % 0.35/0.57 (define @t330 () (not @t229)) % 0.35/0.57 (define @t331 () (not @t222)) % 0.35/0.57 (define @t332 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.35/0.57 (define @t333 () (@list @t5 @t1)) % 0.35/0.57 (define @t334 () (not (tptp.c_lessequals @t42 @t43 @t14))) % 0.35/0.57 (define @t335 () (tptp.hBOOL (tptp.hAPP @t42 @t5))) % 0.35/0.57 (define @t336 () (not @t335)) % 0.35/0.57 (define @t337 () (tptp.hBOOL (tptp.hAPP @t43 @t5))) % 0.35/0.57 (define @t338 () (@list @t43 @t5 @t42 @t1)) % 0.35/0.57 (define @t339 () (@var "V_p" $$unsorted)) % 0.35/0.57 (define @t340 () (tptp.c_lessequals @t5 @t5 @t1)) % 0.35/0.57 (define @t341 () (tptp.c_Relation_Oantisym @t38 @t1)) % 0.35/0.57 (define @t342 () (not (tptp.c_lessequals @t38 @t63 @t36))) % 0.35/0.57 (define @t343 () (tptp.c_Relation_Osingle__valued @t38 @t1 @t24)) % 0.35/0.57 (define @t344 () (@list @t38 @t1 @t24 @t63)) % 0.35/0.57 (define @t345 () (tptp.c_lessequals @t29 @t30 @t1)) % 0.35/0.57 (define @t346 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t1) @t31))) % 0.35/0.57 (define @t347 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.35/0.57 (define @t348 () (@list @t1 @t5 @t3 @t30 @t29)) % 0.35/0.57 (define @t349 () (@var "V_A_H" $$unsorted)) % 0.35/0.57 (define @t350 () (tptp.c_Relation_OImage @t38 @t18 @t1 @t24)) % 0.35/0.57 (define @t351 () (not (tptp.c_Equiv__Relations_Oequiv @t18 @t38 @t1))) % 0.35/0.57 (define @t352 () (@var "V_i" $$unsorted)) % 0.35/0.57 (define @t353 () (@var "V_F" $$unsorted)) % 0.35/0.57 (define @t354 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t353 @t352)) % 0.35/0.57 (define @t355 () (tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 @t353 @t352)) % 0.35/0.57 (define @t356 () (@list @t353 @t352)) % 0.35/0.57 (define @t357 () (tptp.c_Relation_Oirrefl @t38 @t1)) % 0.35/0.57 (define @t358 () (tptp.c_Pair @t5 @t3 @t1 @t1)) % 0.35/0.57 (define @t359 () (tptp.c_in @t358 @t144 @t72)) % 0.35/0.57 (define @t360 () (@list @t3 @t5 @t1 @t38)) % 0.35/0.57 (define @t361 () (not @t359)) % 0.35/0.57 (define @t362 () (@list @t5 @t3 @t1 @t38)) % 0.35/0.57 (define @t363 () (not @t119)) % 0.35/0.57 (define @t364 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t42 @t118 @t38 @t1)) % 0.35/0.57 (define @t365 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t42 @t118 @t38 @t1)) % 0.35/0.57 (define @t366 () (tptp.hBOOL (tptp.hAPP @t42 @t111))) % 0.35/0.57 (define @t367 () (@list @t42 @t111 @t118 @t38 @t1)) % 0.35/0.57 (define @t368 () (not (tptp.c_in @t34 @t43 @t1))) % 0.35/0.57 (define @t369 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t43 @t38 @t1)) % 0.35/0.57 (define @t370 () (not (tptp.c_in @t5 @t43 @t1))) % 0.35/0.57 (define @t371 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t43 @t46 @t1)) % 0.35/0.57 (define @t372 () (tptp.c_Wellfounded_Owf @t289 @t1)) % 0.35/0.57 (define @t373 () (not @t372)) % 0.35/0.57 (define @t374 () (tptp.c_in @t111 (tptp.c_Relation_OImage @t38 @t18 @t24 @t1) @t1)) % 0.35/0.57 (define @t375 () (not @t374)) % 0.35/0.57 (define @t376 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t18 @t111 @t38 @t24 @t1)) % 0.35/0.57 (define @t377 () (@list @t18 @t111 @t38 @t24 @t1)) % 0.35/0.57 (define @t378 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t18 @t111 @t38 @t24 @t1)) % 0.35/0.57 (define @t379 () (tptp.c_in @t5 @t122 @t72)) % 0.35/0.57 (define @t380 () (@list @t5 @t46 @t55 @t1)) % 0.35/0.57 (define @t381 () (tptp.c_in @t339 @t204 @t72)) % 0.35/0.57 (define @t382 () (tptp.c_Wellfounded_Oacc @t38 @t1)) % 0.35/0.57 (define @t383 () (tptp.c_in @t118 @t382 @t1)) % 0.35/0.57 (define @t384 () (not @t383)) % 0.35/0.57 (define @t385 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t42 @t38 @t1)) % 0.35/0.57 (define @t386 () (tptp.c_Wellfounded_Oacc @t38 tptp.t_a)) % 0.35/0.57 (define @t387 () (not (tptp.c_in @t5 @t386 tptp.t_a))) % 0.35/0.57 (define @t388 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t42 @t38)) % 0.35/0.57 (define @t389 () (@list @t42 @t5 @t38)) % 0.35/0.57 (define @t390 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t42 @t38 @t1)) % 0.35/0.57 (define @t391 () (tptp.c_Wellfounded_Oacc @t46 @t1)) % 0.35/0.57 (define @t392 () (tptp.c_in @t5 @t391 @t1)) % 0.35/0.57 (define @t393 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t46 @t5 @t1)) % 0.35/0.57 (define @t394 () (@list @t46 @t5 @t1)) % 0.35/0.57 (define @t395 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t42 @t38)) % 0.35/0.57 (define @t396 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t38 @t5 @t1)) % 0.35/0.57 (define @t397 () (tptp.c_in @t5 @t382 @t1)) % 0.35/0.57 (define @t398 () (@list @t5 @t38 @t1)) % 0.35/0.57 (define @t399 () (tptp.c_Relation_Orel__comp @t46 @t46 @t1 @t1 @t1)) % 0.35/0.57 (define @t400 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t399 (tptp.c_Relation_Orel__comp @t55 @t46 @t1 @t1 @t1) @t73) @t55 @t73) @t1)) % 0.35/0.57 (define @t401 () (@list @t46 @t1)) % 0.35/0.57 (define @t402 () (not @t326)) % 0.35/0.57 (define @t403 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t404 () (tptp.tc_fun @t403 tptp.tc_bool)) % 0.35/0.57 (define @t405 () (@var "V_L" $$unsorted)) % 0.35/0.57 (define @t406 () (not (tptp.c_in @t405 tptp.c_Arrow__Order__Mirabelle_OLin @t404))) % 0.35/0.57 (define @t407 () (@list @t405 @t5 @t3)) % 0.35/0.57 (define @t408 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t315 @t73)) % 0.35/0.57 (define @t409 () (tptp.c_Relation_Oantisym @t408 @t1)) % 0.35/0.57 (define @t410 () (not @t341)) % 0.35/0.57 (define @t411 () (tptp.c_Relation_Ototal__on @t18 @t316 @t1)) % 0.35/0.57 (define @t412 () (not @t254)) % 0.35/0.57 (define @t413 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.35/0.57 (define @t414 () (tptp.c_Transitive__Closure_Ortrancl @t38 tptp.t_a)) % 0.35/0.57 (define @t415 () (@var "V_a2" $$unsorted)) % 0.35/0.57 (define @t416 () (@var "V_a1" $$unsorted)) % 0.35/0.57 (define @t417 () (tptp.c_Pair @t416 @t415 tptp.t_a tptp.t_a)) % 0.35/0.57 (define @t418 () (not (tptp.c_in @t417 @t414 @t413))) % 0.35/0.57 (define @t419 () (= @t415 @t416)) % 0.35/0.57 (define @t420 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t416 @t415 @t38)) % 0.35/0.57 (define @t421 () (@list @t416 @t415 @t38)) % 0.35/0.57 (define @t422 () (tptp.hBOOL (tptp.hAPP @t42 @t3))) % 0.35/0.57 (define @t423 () (@list @t42 @t118 @t3 @t38 @t1)) % 0.35/0.57 (define @t424 () (@var "V_Ra" $$unsorted)) % 0.35/0.57 (define @t425 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t38 @t1)) % 0.35/0.57 (define @t426 () (tptp.c_Pair @t5 @t5 @t1 @t1)) % 0.35/0.57 (define @t427 () (tptp.c_in @t426 @t38 @t72)) % 0.35/0.57 (define @t428 () (not @t427)) % 0.35/0.57 (define @t429 () (@list @t5 @t1 @t38)) % 0.35/0.57 (define @t430 () (tptp.c_Pair @t5 @t2 @t1 @t1)) % 0.35/0.57 (define @t431 () (tptp.c_in @t430 @t204 @t72)) % 0.35/0.57 (define @t432 () (not @t431)) % 0.35/0.57 (define @t433 () (tptp.c_in @t430 @t38 @t72)) % 0.35/0.57 (define @t434 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t38 @t5 @t2 @t1)) % 0.35/0.57 (define @t435 () (tptp.c_Transitive__Closure_Otrancl @t46 @t1)) % 0.35/0.57 (define @t436 () (tptp.c_in @t358 @t435 @t72)) % 0.35/0.57 (define @t437 () (not @t436)) % 0.35/0.57 (define @t438 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t46 @t5 @t3 @t1)) % 0.35/0.57 (define @t439 () (@list @t5 @t46 @t3 @t1)) % 0.35/0.57 (define @t440 () (tptp.c_Transitive__Closure_Otrancl @t38 tptp.t_a)) % 0.35/0.57 (define @t441 () (not (tptp.c_in @t417 @t440 @t413))) % 0.35/0.57 (define @t442 () (tptp.c_in @t417 @t38 @t413)) % 0.35/0.57 (define @t443 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t416 @t415 @t38)) % 0.35/0.57 (define @t444 () (tptp.c_in @t312 @t204 @t72)) % 0.35/0.57 (define @t445 () (not @t444)) % 0.35/0.57 (define @t446 () (tptp.c_in @t312 @t38 @t72)) % 0.35/0.57 (define @t447 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t118 @t111 @t38 @t1)) % 0.35/0.57 (define @t448 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t46 @t5 @t3 @t1)) % 0.35/0.57 (define @t449 () (@list @t46 @t5 @t3 @t1)) % 0.35/0.57 (define @t450 () (not (tptp.c_in (tptp.c_Pair @t118 @t293 @t1 @t24) (tptp.c_Relation_Orel__comp @t38 @t63 @t1 @t60 @t24) @t35))) % 0.35/0.57 (define @t451 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t118 @t293 @t38 @t63 @t1 @t24 @t60)) % 0.35/0.57 (define @t452 () (@list @t118 @t293 @t38 @t63 @t1 @t24 @t60)) % 0.35/0.57 (define @t453 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t18 @t16 @t26 @t1 @t24)) % 0.35/0.57 (define @t454 () (tptp.c_in @t26 (tptp.c_FuncSet_OPi @t18 @t16 @t1 @t24) @t215)) % 0.35/0.57 (define @t455 () (@list @t26 @t18 @t16 @t1 @t24)) % 0.35/0.57 (define @t456 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t18 @t16 @t26 @t1 @t24)) % 0.35/0.57 (define @t457 () (@list @t26 @t5 @t16 @t24 @t18 @t1)) % 0.35/0.57 (define @t458 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t339 @t1)) % 0.35/0.57 (define @t459 () (not (tptp.c_in @t293 @t77 @t72))) % 0.35/0.57 (define @t460 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t18 @t293 @t1)) % 0.35/0.57 (define @t461 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t204 @t315 @t73)) % 0.35/0.57 (define @t462 () (tptp.c_Relation_Orel__comp @t144 @t38 @t1 @t1 @t1)) % 0.35/0.57 (define @t463 () (tptp.c_Relation_Orel__comp @t188 @t38 @t1 @t1 @t1)) % 0.35/0.57 (define @t464 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t38 @t1)) % 0.35/0.57 (define @t465 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t404)) % 0.35/0.57 (define @t466 () (tptp.c_Arrow__Order__Mirabelle_OIIA @t353)) % 0.35/0.57 (define @t467 () (@list @t353)) % 0.35/0.57 (define @t468 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t38 @t1)) % 0.35/0.57 (define @t469 () (tptp.c_Nitpick_Orefl_H @t38 @t1)) % 0.35/0.57 (define @t470 () (not @t357)) % 0.35/0.57 (define @t471 () (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t353)) % 0.35/0.57 (define @t472 () (not (tptp.c_in @t3 @t43 @t1))) % 0.35/0.57 (define @t473 () (tptp.c_split @t26 @t1 @t24 @t60)) % 0.35/0.57 (define @t474 () (tptp.hAPP @t211 @t111)) % 0.35/0.57 (define @t475 () (tptp.c_in @t118 @t136 @t1)) % 0.35/0.57 (define @t476 () (not @t475)) % 0.35/0.57 (define @t477 () (@list @t118 @t38 @t1 @t24)) % 0.35/0.57 (define @t478 () (@list @t42 @t5 @t3 @t38)) % 0.35/0.57 (define @t479 () (@var "V_ya" $$unsorted)) % 0.35/0.57 (define @t480 () (tptp.c_in @t479 @t386 tptp.t_a)) % 0.35/0.57 (define @t481 () (@list @t42 @t5 @t479 @t38)) % 0.35/0.57 (define @t482 () (tptp.c_in @t118 @t282 @t1)) % 0.35/0.57 (define @t483 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t405 @t118 @t111)) % 0.35/0.57 (define @t484 () (tptp.c_Pair @t5 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t485 () (@list @t5 @t405 @t118 @t111)) % 0.35/0.57 (define @t486 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t405 @t118 @t5)) % 0.35/0.57 (define @t487 () (tptp.c_Pair @t34 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t488 () (tptp.c_in @t487 @t486 @t403)) % 0.35/0.57 (define @t489 () (= @t118 @t5)) % 0.35/0.57 (define @t490 () (= @t34 @t5)) % 0.35/0.57 (define @t491 () (tptp.c_in (tptp.c_Pair @t34 @t118 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) % 0.35/0.57 (define @t492 () (not @t491)) % 0.35/0.57 (define @t493 () (@list @t34 @t118 @t405 @t5)) % 0.35/0.57 (define @t494 () (tptp.c_Pair @t5 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t495 () (tptp.c_in @t494 @t405 @t403)) % 0.35/0.57 (define @t496 () (not @t495)) % 0.35/0.57 (define @t497 () (tptp.c_in @t494 (tptp.c_Arrow__Order__Mirabelle_Oabove @t405 @t5 @t111) @t403)) % 0.35/0.57 (define @t498 () (= @t5 @t111)) % 0.35/0.57 (define @t499 () (tptp.c_in @t494 @t483 @t403)) % 0.35/0.57 (define @t500 () (= @t3 @t111)) % 0.35/0.57 (define @t501 () (@list @t34 @t5 @t405 @t118)) % 0.35/0.57 (define @t502 () (tptp.c_in (tptp.c_Pair @t118 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) % 0.35/0.57 (define @t503 () (tptp.c_in @t494 @t486 @t403)) % 0.35/0.57 (define @t504 () (not @t502)) % 0.35/0.57 (define @t505 () (not (tptp.c_in (tptp.c_Pair @t5 @t118 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403))) % 0.35/0.57 (define @t506 () (@list @t5 @t3 @t405 @t118 @t111)) % 0.35/0.57 (define @t507 () (tptp.c_in @t487 (tptp.c_Arrow__Order__Mirabelle_Oabove @t405 @t34 @t5) @t403)) % 0.35/0.57 (define @t508 () (not (tptp.c_in @t487 @t405 @t403))) % 0.35/0.57 (define @t509 () (@list @t34 @t5 @t405)) % 0.35/0.57 (define @t510 () (tptp.c_Equiv__Relations_Oquotient @t18 @t38 @t1)) % 0.35/0.57 (define @t511 () (@var "V_X" $$unsorted)) % 0.35/0.57 (define @t512 () (@var "V_Y" $$unsorted)) % 0.35/0.57 (define @t513 () (not (tptp.c_in @t358 @t38 @t72))) % 0.35/0.57 (define @t514 () (= @t511 @t512)) % 0.35/0.57 (define @t515 () (not (tptp.c_in @t5 @t510 @t14))) % 0.35/0.57 (define @t516 () (= @t3 @t118)) % 0.35/0.57 (define @t517 () (tptp.c_in (tptp.c_Pair @t111 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) % 0.35/0.57 (define @t518 () (not @t517)) % 0.35/0.57 (define @t519 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t405)) % 0.35/0.57 (define @t520 () (tptp.hAPP @t519 @t118)) % 0.35/0.57 (define @t521 () (tptp.hAPP @t520 @t111)) % 0.35/0.57 (define @t522 () (tptp.c_in @t494 @t521 @t403)) % 0.35/0.57 (define @t523 () (tptp.hAPP @t519 @t5)) % 0.35/0.57 (define @t524 () (tptp.c_Pair @t5 @t34 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t525 () (tptp.c_in @t524 (tptp.hAPP @t523 @t34) @t403)) % 0.35/0.57 (define @t526 () (= @t5 @t34)) % 0.35/0.57 (define @t527 () (tptp.hAPP @t523 @t111)) % 0.35/0.57 (define @t528 () (tptp.c_in @t494 @t527 @t403)) % 0.35/0.57 (define @t529 () (@list @t111 @t3 @t405 @t5)) % 0.35/0.57 (define @t530 () (tptp.c_in @t487 (tptp.hAPP @t520 @t5) @t403)) % 0.35/0.57 (define @t531 () (= @t5 @t118)) % 0.35/0.57 (define @t532 () (tptp.c_in (tptp.c_Pair @t34 @t111 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) % 0.35/0.57 (define @t533 () (tptp.c_in @t487 @t527 @t403)) % 0.35/0.57 (define @t534 () (not (tptp.c_in (tptp.c_Pair @t5 @t111 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403))) % 0.35/0.57 (define @t535 () (tptp.c_in @t5 (tptp.c_Relation_ODomain @t46 @t1 @t1) @t1)) % 0.35/0.57 (define @t536 () (tptp.c_in @t358 @t124 @t72)) % 0.35/0.57 (define @t537 () (not @t536)) % 0.35/0.57 (define @t538 () (@list @t5 @t3 @t1 @t46)) % 0.35/0.57 (define @t539 () (tptp.c_in @t426 @t124 @t72)) % 0.35/0.57 (define @t540 () (tptp.c_Pair @t111 @t118 @t1 @t1)) % 0.35/0.57 (define @t541 () (not (tptp.c_in @t540 @t144 @t72))) % 0.35/0.57 (define @t542 () (tptp.c_in @t111 @t382 @t1)) % 0.35/0.57 (define @t543 () (@list @t111 @t38 @t1 @t118)) % 0.35/0.57 (define @t544 () (tptp.c_Pair @t118 @t111 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t545 () (tptp.c_in (tptp.c_Pair @t3 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) % 0.35/0.57 (define @t546 () (@list @t5 @t3 @t405)) % 0.35/0.57 (define @t547 () (not (tptp.c_in @t339 @t38 @t72))) % 0.35/0.57 (define @t548 () (@list @t339 @t38 @t1)) % 0.35/0.57 (define @t549 () (not @t446)) % 0.35/0.57 (define @t550 () (tptp.c_Pair @t111 @t293 @t1 @t1)) % 0.35/0.57 (define @t551 () (not (tptp.c_in @t550 @t144 @t72))) % 0.35/0.57 (define @t552 () (tptp.c_Pair @t118 @t293 @t1 @t1)) % 0.35/0.57 (define @t553 () (tptp.c_in @t552 @t204 @t72)) % 0.35/0.57 (define @t554 () (@list @t118 @t293 @t1 @t38 @t111)) % 0.35/0.57 (define @t555 () (not (tptp.c_in @t550 @t38 @t72))) % 0.35/0.57 (define @t556 () (tptp.c_in @t288 @t144 @t72)) % 0.35/0.57 (define @t557 () (tptp.c_Transitive__Closure_Ortrancl @t188 @t1)) % 0.35/0.57 (define @t558 () (tptp.c_in @t358 @t557 @t72)) % 0.35/0.57 (define @t559 () (tptp.c_Pair @t3 @t2 @t1 @t1)) % 0.35/0.57 (define @t560 () (@list @t118 @t111 @t1 @t38)) % 0.35/0.57 (define @t561 () (@list @t5 @t2 @t1 @t38 @t3)) % 0.35/0.57 (define @t562 () (tptp.c_Transitive__Closure_Otrancl @t188 @t1)) % 0.35/0.57 (define @t563 () (tptp.c_in @t358 @t562 @t72)) % 0.35/0.57 (define @t564 () (tptp.c_Relation_Oconverse @t204 @t1 @t1)) % 0.35/0.57 (define @t565 () (tptp.c_in @t358 @t564 @t72)) % 0.35/0.57 (define @t566 () (tptp.c_Pair @t118 @t111 @t24 @t60)) % 0.35/0.57 (define @t567 () (tptp.c_Relation_Osym @t188 @t1)) % 0.35/0.57 (define @t568 () (tptp.c_Relation_ODomain @t38 @t1 @t1)) % 0.35/0.57 (define @t569 () (@list @t1)) % 0.35/0.57 (define @t570 () (tptp.c_Relation_Orefl__on @t18 @t188 @t1)) % 0.35/0.57 (define @t571 () (tptp.c_Wellfounded_Owf @t399 @t1)) % 0.35/0.57 (define @t572 () (= @t188 @t38)) % 0.35/0.57 (define @t573 () (tptp.c_Relation_Oinv__image @t38 @t26 @t1 @t24)) % 0.35/0.57 (define @t574 () (@list @t38 @t26 @t1 @t24)) % 0.35/0.57 (define @t575 () (tptp.c_Relation_Orel__comp @t38 @t144 @t1 @t1 @t1)) % 0.35/0.57 (define @t576 () (tptp.c_Relation_Otrans @t188 @t1)) % 0.35/0.57 (define @t577 () (@var "T_d" $$unsorted)) % 0.35/0.57 (define @t578 () (= @t463 @t38)) % 0.35/0.57 (define @t579 () (tptp.c_Relation_Oconverse @t38 @t1 @t24)) % 0.35/0.57 (define @t580 () (@list @t38 @t1 @t24)) % 0.35/0.57 (define @t581 () (not @t343)) % 0.35/0.57 (define @t582 () (tptp.c_Relation_Oantisym @t188 @t1)) % 0.35/0.57 (define @t583 () (@var "V_r1" $$unsorted)) % 0.35/0.57 (define @t584 () (@var "V_r2" $$unsorted)) % 0.35/0.57 (define @t585 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t583 @t584 @t26 @t1 @t24 @t60))) % 0.35/0.57 (define @t586 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t405 @t5)) % 0.35/0.57 (define @t587 () (@list @t405 @t5)) % 0.35/0.57 (define @t588 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t405 @t5)) % 0.35/0.57 (define @t589 () (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t118 @t111)) % 0.35/0.57 (define @t590 () (@list @t118 @t111)) % 0.35/0.57 (define @t591 () (tptp.c_Relation_ODomain @t213 @t1 @t24)) % 0.35/0.57 (define @t592 () (@list @t38 @t24 @t1)) % 0.35/0.57 (define @t593 () (tptp.c_Relation_Ototal__on @t18 @t188 @t1)) % 0.35/0.57 (define @t594 () (@var "V_z1" $$unsorted)) % 0.35/0.57 (define @t595 () (@var "V_y1" $$unsorted)) % 0.35/0.57 (define @t596 () (tptp.tc_prod @t24 @t24)) % 0.35/0.57 (define @t597 () (@var "V_z2" $$unsorted)) % 0.35/0.57 (define @t598 () (@var "V_y2" $$unsorted)) % 0.35/0.57 (define @t599 () (tptp.c_Pair @t5 @t3 @t1 @t24)) % 0.35/0.57 (define @t600 () (= @t3 @t2)) % 0.35/0.57 (define @t601 () (tptp.c_Pair @t5 @t118 @t1 @t1)) % 0.35/0.57 (define @t602 () (not (tptp.c_in @t601 @t38 @t72))) % 0.35/0.57 (define @t603 () (tptp.c_in @t599 @t46 @t35)) % 0.35/0.57 (define @t604 () (tptp.c_FunDef_Oin__rel @t46 @t5 @t3 @t1 @t24)) % 0.35/0.57 (define @t605 () (not (tptp.c_in @t559 @t38 @t72))) % 0.35/0.57 (define @t606 () (tptp.c_Pair @t111 @t118 @t24 @t1)) % 0.35/0.57 (define @t607 () (tptp.c_in @t606 @t38 @t56)) % 0.35/0.57 (define @t608 () (tptp.c_in @t137 @t213 @t35)) % 0.35/0.57 (define @t609 () (not (tptp.c_in @t137 @t38 @t35))) % 0.35/0.57 (define @t610 () (@list @t111 @t118 @t24 @t1 @t38)) % 0.35/0.57 (define @t611 () (not (tptp.c_in @t550 @t204 @t72))) % 0.35/0.57 (define @t612 () (tptp.c_in @t552 @t144 @t72)) % 0.35/0.57 (define @t613 () (tptp.c_Pair @t118 @t118 @t1 @t1)) % 0.35/0.57 (define @t614 () (@list @t118 @t1 @t38)) % 0.35/0.57 (define @t615 () (tptp.c_in @t288 @t38 @t72)) % 0.35/0.57 (define @t616 () (not @t615)) % 0.35/0.57 (define @t617 () (tptp.c_in @t540 @t38 @t72)) % 0.35/0.57 (define @t618 () (tptp.hAPP @t26 @t3)) % 0.35/0.57 (define @t619 () (not (tptp.c_in @t358 @t77 @t72))) % 0.35/0.57 (define @t620 () (tptp.c_in @t613 @t38 @t72)) % 0.35/0.57 (define @t621 () (tptp.c_in (tptp.c_Pair @t94 @t618 @t24 @t24) @t38 @t596)) % 0.35/0.57 (define @t622 () (tptp.c_in @t358 (tptp.c_Relation_Oinv__image @t38 @t26 @t24 @t1) @t72)) % 0.35/0.57 (define @t623 () (not @t454)) % 0.35/0.57 (define @t624 () (tptp.c_in @t94 @t163 @t24)) % 0.35/0.57 (define @t625 () (= @t5 @t2)) % 0.35/0.57 (define @t626 () (tptp.c_in @t494 (tptp.c_Arrow__Order__Mirabelle_Omktop @t405 @t2) @t403)) % 0.35/0.57 (define @t627 () (@list @t5 @t3 @t405 @t2)) % 0.35/0.57 (define @t628 () (@list @t5 @t405)) % 0.35/0.57 (define @t629 () (tptp.c_in @t494 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t405 @t2) @t403)) % 0.35/0.57 (define @t630 () (not @t466)) % 0.35/0.57 (define @t631 () (not (tptp.c_in @t5 tptp.c_Arrow__Order__Mirabelle_OProf @t465))) % 0.35/0.57 (define @t632 () (not (tptp.c_in @t34 tptp.c_Arrow__Order__Mirabelle_OProf @t465))) % 0.35/0.57 (define @t633 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 @t118 @t111 @t5 @t34)) % 0.35/0.57 (define @t634 () (tptp.c_in @t544 (tptp.hAPP @t5 @t633) @t403)) % 0.35/0.57 (define @t635 () (not @t634)) % 0.35/0.57 (define @t636 () (tptp.c_in @t544 (tptp.hAPP @t34 @t633) @t403)) % 0.35/0.57 (define @t637 () (not @t636)) % 0.35/0.57 (define @t638 () (tptp.c_in @t544 (tptp.hAPP @t353 @t34) @t403)) % 0.35/0.57 (define @t639 () (not @t638)) % 0.35/0.57 (define @t640 () (tptp.hAPP @t353 @t5)) % 0.35/0.57 (define @t641 () (tptp.c_in @t544 @t640 @t403)) % 0.35/0.57 (define @t642 () (@list @t118 @t111 @t353 @t5 @t34)) % 0.35/0.57 (define @t643 () (not @t641)) % 0.35/0.57 (define @t644 () (@list @t118 @t111 @t353 @t34 @t5)) % 0.35/0.57 (define @t645 () (@var "V_b_H" $$unsorted)) % 0.35/0.57 (define @t646 () (@var "V_a_H" $$unsorted)) % 0.35/0.57 (define @t647 () (= @t646 @t645)) % 0.35/0.57 (define @t648 () (= @t118 @t645)) % 0.35/0.57 (define @t649 () (= @t111 @t646)) % 0.35/0.57 (define @t650 () (not (tptp.c_in @t42 tptp.c_Arrow__Order__Mirabelle_OProf @t465))) % 0.35/0.57 (define @t651 () (@var "V_P_H" $$unsorted)) % 0.35/0.57 (define @t652 () (not (tptp.c_in @t651 tptp.c_Arrow__Order__Mirabelle_OProf @t465))) % 0.35/0.57 (define @t653 () (tptp.v_sko__local__X2__1 @t42 @t651 @t118 @t646 @t111 @t645)) % 0.35/0.57 (define @t654 () (tptp.c_in @t544 (tptp.hAPP @t42 @t653) @t403)) % 0.35/0.57 (define @t655 () (not @t654)) % 0.35/0.57 (define @t656 () (tptp.c_Pair @t646 @t645 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t657 () (tptp.c_in @t656 (tptp.hAPP @t651 @t653) @t403)) % 0.35/0.57 (define @t658 () (not @t657)) % 0.35/0.57 (define @t659 () (tptp.c_in @t656 (tptp.hAPP tptp.v_F @t651) @t403)) % 0.35/0.57 (define @t660 () (not @t659)) % 0.35/0.57 (define @t661 () (tptp.c_in @t544 (tptp.hAPP tptp.v_F @t42) @t403)) % 0.35/0.57 (define @t662 () (@list @t118 @t111 @t42 @t646 @t645 @t651)) % 0.35/0.57 (define @t663 () (not @t661)) % 0.35/0.57 (define @t664 () (@list @t646 @t645 @t651 @t118 @t111 @t42)) % 0.35/0.57 (define @t665 () (tptp.v_sko__local__X1__1 @t42 @t651 @t118 @t646 @t111 @t645)) % 0.35/0.57 (define @t666 () (tptp.c_in @t544 (tptp.hAPP @t42 @t665) @t403)) % 0.35/0.57 (define @t667 () (tptp.c_in @t656 (tptp.hAPP @t651 @t665) @t403)) % 0.35/0.57 (define @t668 () (tptp.c_in @t111 (tptp.hAPP @t16 @t118) @t24)) % 0.35/0.57 (define @t669 () (tptp.c_in @t137 (tptp.c_Product__Type_OSigma @t18 @t16 @t1 @t24) @t35)) % 0.35/0.57 (define @t670 () (tptp.c_in @t3 @t18 @t1)) % 0.35/0.57 (define @t671 () (@list @t3 @t18 @t1 @t5 @t38)) % 0.35/0.57 (define @t672 () (@list @t5 @t18 @t1 @t3 @t38)) % 0.35/0.57 (define @t673 () (not @t669)) % 0.35/0.57 (define @t674 () (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t675 () (tptp.c_in @t674 (tptp.v_P_H____ @t352) @t403)) % 0.35/0.57 (define @t676 () (tptp.hAPP tptp.v_P____ @t352)) % 0.35/0.57 (define @t677 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t678 () (tptp.c_in @t677 @t676 @t403)) % 0.35/0.57 (define @t679 () (@list @t352)) % 0.35/0.57 (define @t680 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t404)) % 0.35/0.57 (define @t681 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t680)) % 0.35/0.57 (define @t682 () (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow tptp.v_P____ @t404 @t681 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t680) tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t404)) % 0.35/0.57 (define @t683 () (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.hAPP tptp.v_F @t682) @t403)) % 0.35/0.57 (define @t684 () (not @t683)) % 0.35/0.57 (define @t685 () (tptp.c_in @t677 (tptp.hAPP tptp.v_F tptp.v_P____) @t403)) % 0.35/0.57 (define @t686 () (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow @t682 @t404 @t681 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t680) tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t404)) % 0.35/0.57 (define @t687 () (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.35/0.57 (define @t688 () (tptp.c_in @t687 (tptp.hAPP tptp.v_F @t686) @t403)) % 0.35/0.57 (define @t689 () (not (= @t137 (tptp.c_Pair @t646 @t645 @t1 @t24)))) % 0.35/0.57 (define @t690 () (@list @t118 @t111 @t1 @t24 @t646 @t645)) % 0.35/0.57 (define @t691 () (tptp.hBOOL (tptp.hAPP @t55 @t5))) % 0.35/0.57 (define @t692 () (tptp.c_in @t5 @t55 @t1)) % 0.35/0.57 (define @t693 () (= tptp.v_b____ tptp.v_c____)) % 0.35/0.57 (define @t694 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t676) tptp.v_c____) tptp.v_b____)) tptp.v_b____) tptp.v_a____)) % 0.35/0.57 (define @t695 () (tptp.c_in @t687 @t694 @t403)) % 0.35/0.57 (define @t696 () (tptp.c_in @t674 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t694) tptp.v_a____) tptp.v_c____) @t403)) % 0.35/0.57 (define @t697 () (@var "T_1" $$unsorted)) % 0.35/0.57 (define @t698 () (not (tptp.class_Lattices_Olattice @t697))) % 0.35/0.57 (define @t699 () (@var "T_2" $$unsorted)) % 0.35/0.57 (define @t700 () (tptp.tc_fun @t699 @t697)) % 0.35/0.57 (define @t701 () (@list @t699 @t697)) % 0.35/0.57 (assume @p1 (forall @t10 (or @t9 @t8))) % 0.35/0.57 (assume @p2 (forall @t10 (or @t9 @t12))) % 0.35/0.57 (assume @p3 (forall @t10 (or @t13 @t12))) % 0.35/0.57 (assume @p4 (forall @t10 (or @t13 @t8))) % 0.35/0.57 (assume @p5 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t15 @t14) @t19))) % 0.35/0.57 (assume @p6 (forall @t23 (= @t19 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t22 @t14)))) % 0.35/0.57 (assume @p7 (forall (@list @t26 @t18 @t24 @t1 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t28 @t27 @t14) (tptp.c_Set_Oimage @t26 (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t25) @t24 @t1) @t14))) % 0.35/0.57 (assume @p8 (forall (@list @t1 @t5 @t30 @t29) (or @t33 (not (= @t32 @t31)) (= @t30 @t29)))) % 0.35/0.57 (assume @p9 (forall (@list @t1 @t34 @t3 @t5) (or @t33 (not (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t3 @t1) @t32)) (= @t34 @t3)))) % 0.35/0.57 (assume @p10 (forall (@list @t38 @t15 @t1 @t24 @t16 @t18) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t38 @t15 @t1 @t24) @t16 @t25) @t39))) % 0.35/0.57 (assume @p11 (forall @t41 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t16 @t14) @t40))) % 0.35/0.57 (assume @p12 (forall (@list @t42 @t1 @t24 @t43) (= (tptp.hAPP (tptp.c_COMBK @t42 @t1 @t24) @t43) @t42))) % 0.35/0.57 (assume @p13 (forall (@list @t5 @t3 @t18 @t1) (= (tptp.c_Set_Oinsert @t5 @t45 @t1) (tptp.c_Set_Oinsert @t3 @t44 @t1)))) % 0.35/0.57 (assume @p14 (forall (@list @t42 @t50 @t46 @t1) (or (tptp.hBOOL (tptp.hAPP @t42 @t50)) (not (tptp.hBOOL (tptp.hAPP @t42 @t49))) @t48))) % 0.35/0.57 (assume @p15 (forall @t54 (= (tptp.c_Relation_OImage @t46 @t53 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t51 @t14)))) % 0.35/0.57 (assume @p16 (forall (@list @t46 @t55 @t24 @t1 @t18) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t55 @t57) @t18 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 (tptp.c_Relation_OImage @t55 @t18 @t24 @t1) @t14)))) % 0.35/0.57 (assume @p17 (forall (@list @t58 @t64 @t1 @t24 @t60 @t38 @t63) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t58 @t64 @t1 @t24 @t60) @t67 @t66) (not (tptp.c_lessequals @t64 @t63 @t62)) @t59))) % 0.35/0.57 (assume @p18 (forall @t68 (or @t13 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t5 @t1) @t5)))) % 0.35/0.57 (assume @p19 (forall @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t14) @t18))) % 0.35/0.57 (assume @p20 (forall @t76 (or @t75 @t71))) % 0.35/0.57 (assume @p21 (forall @t69 (tptp.c_lessequals @t77 @t74 @t73))) % 0.35/0.57 (assume @p22 (forall @t80 (or @t79 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t5 @t1) @t1))))) % 0.35/0.57 (assume @p23 (forall @t10 (or @t79 (= @t84 @t83)))) % 0.35/0.57 (assume @p24 (forall @t23 (= @t87 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t85 @t14)))) % 0.35/0.57 (assume @p25 (forall @t90 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t18 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t89 @t88 @t14)))) % 0.35/0.57 (assume @p26 (forall (@list @t18 @t1 @t24 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t92 @t91 @t14) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t36) @t1 @t24) @t14))) % 0.35/0.57 (assume @p27 (forall (@list @t26 @t5 @t16 @t1 @t18 @t24) (or (tptp.c_in @t94 @t16 @t1) @t93 (not (tptp.c_lessequals @t28 @t16 @t14))))) % 0.35/0.57 (assume @p28 (forall (@list @t18 @t16 @t24 @t15 @t1 @t5) (or @t100 (not @t99) @t95))) % 0.35/0.57 (assume @p29 (forall @t101 (or @t99 (not @t100) @t95))) % 0.35/0.57 (assume @p30 (forall @t105 (or (= @t104 @t40) @t103))) % 0.35/0.57 (assume @p31 (forall @t109 (or @t108 @t107))) % 0.35/0.57 (assume @p32 (forall (@list @t18 @t111 @t16 @t1) (or (tptp.c_lessequals @t18 @t112 @t14) @t110))) % 0.35/0.57 (assume @p33 (forall (@list @t18 @t24 @t1 @t16) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t114 @t113 @t14) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t18 @t16 @t57) @t24 @t1) @t14))) % 0.35/0.57 (assume @p34 (forall @t120 (or @t119 (not (tptp.hBOOL (tptp.hAPP @t42 @t117))) @t116))) % 0.35/0.57 (assume @p35 (forall @t126 (tptp.c_lessequals @t125 @t122 @t73))) % 0.35/0.57 (assume @p36 (forall @t128 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t127 @t15 @t14) (tptp.c_Set_Oinsert @t118 @t17 @t1)))) % 0.35/0.57 (assume @p37 (forall @t129 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t127 @t14) (tptp.c_Set_Oinsert @t118 @t20 @t1)))) % 0.35/0.57 (assume @p38 (forall (@list @t118 @t18 @t1 @t16) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t131 @t127 @t14) @t130))) % 0.35/0.57 (assume @p39 (forall @t132 (= (tptp.c_Set_Oinsert @t5 @t44 @t1) @t44))) % 0.35/0.57 (assume @p40 (forall (@list @t18 @t5 @t3 @t1) (or @t135 @t134 (not @t133)))) % 0.35/0.57 (assume @p41 (forall @t138 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t137 @t38 @t35) @t1 @t24) (tptp.c_Set_Oinsert @t118 @t136 @t1)))) % 0.35/0.57 (assume @p42 (forall (@list @t38 @t63 @t1) (or (tptp.c_Relation_Osym @t141 @t1) (not (tptp.c_Relation_Osym @t63 @t1)) @t140))) % 0.35/0.57 (assume @p43 (forall @t146 (or @t145 @t142))) % 0.35/0.57 (assume @p44 (forall (@list @t16 @t118 @t1) (tptp.c_lessequals @t16 @t127 @t14))) % 0.35/0.57 (assume @p45 (forall @t148 (tptp.c_lessequals (tptp.c_Set_Oimage @t26 @t147 @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t27 @t14) @t14))) % 0.35/0.57 (assume @p46 (forall @t54 (tptp.c_lessequals @t150 @t149 @t14))) % 0.35/0.57 (assume @p47 (forall @t21 (or (not @t152) @t151))) % 0.35/0.57 (assume @p48 (forall @t21 (or @t152 @t153))) % 0.35/0.57 (assume @p49 (forall @t158 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t156 @t154 @t14) @t15 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t157 @t155 @t36)))) % 0.35/0.57 (assume @p50 (forall (@list @t38 @t63 @t1 @t24 @t60 @t18 @t15 @t16) (or (tptp.c_lessequals @t67 (tptp.c_Product__Type_OSigma @t18 (tptp.c_COMBK @t15 @t159 @t1) @t1 @t60) @t66) (not (tptp.c_lessequals @t63 (tptp.c_Product__Type_OSigma @t16 (tptp.c_COMBK @t15 @t159 @t24) @t24 @t60) @t62)) @t39))) % 0.35/0.57 (assume @p51 (forall @t161 (or @t160 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t46 @t55 @t1 @t1 @t1) @t46 @t73)) (not (tptp.c_Wellfounded_Owf @t55 @t1)) @t48))) % 0.35/0.57 (assume @p52 (forall @t165 (or @t164 @t135 (not @t162)))) % 0.35/0.57 (assume @p53 (forall @t109 (or @t162 @t166))) % 0.35/0.57 (assume @p54 (forall @t109 (or @t162 @t167))) % 0.35/0.57 (assume @p55 (forall (@list @t18 @t16 @t1 @t38 @t63) (or (tptp.c_Relation_Orefl__on @t20 @t141 @t1) (not (tptp.c_Relation_Orefl__on @t16 @t63 @t1)) @t71))) % 0.35/0.57 (assume @p56 (forall @t10 (or @t9 @t170))) % 0.35/0.57 (assume @p57 (forall @t10 (or @t9 @t171))) % 0.35/0.57 (assume @p58 (forall @t10 (or @t172 @t171))) % 0.35/0.57 (assume @p59 (forall @t10 (or @t172 @t170))) % 0.35/0.57 (assume @p60 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t15 @t14) @t174))) % 0.35/0.57 (assume @p61 (forall @t23 (= @t174 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t85 @t14)))) % 0.35/0.57 (assume @p62 (forall (@list @t118 @t18 @t1 @t111 @t16 @t24) (= (tptp.c_Product__Type_OSigma @t131 @t175 @t1 @t24) (tptp.c_Set_Oinsert @t137 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t18 @t175 @t1 @t24) (tptp.c_Product__Type_OSigma @t131 @t37 @t1 @t24) @t36) @t35)))) % 0.35/0.57 (assume @p63 (forall @t176 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t40 @t14) (tptp.c_HOL_Ominus__class_Ominus @t88 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t16 @t14) @t14)))) % 0.35/0.57 (assume @p64 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t15 @t14) @t177))) % 0.35/0.57 (assume @p65 (forall @t181 (or (tptp.c_lessequals @t40 (tptp.c_HOL_Ominus__class_Ominus @t15 @t180 @t14) @t14) (not (tptp.c_lessequals @t180 @t16 @t14)) @t179))) % 0.35/0.57 (assume @p66 (forall @t10 (or @t9 (tptp.c_lessequals @t183 @t182 @t1)))) % 0.35/0.57 (assume @p67 (forall @t184 (= @t177 (tptp.c_HOL_Ominus__class_Ominus @t85 @t16 @t14)))) % 0.35/0.57 (assume @p68 (forall @t185 (or @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t82 @t1) @t5)))) % 0.35/0.57 (assume @p69 (forall (@list @t42 @t187 @t38 @t1) (or (tptp.hBOOL (tptp.hAPP @t42 @t187)) (not (tptp.hBOOL (tptp.hAPP @t42 @t186))) @t116))) % 0.35/0.57 (assume @p70 (forall @t191 (or @t190 (not @t189)))) % 0.35/0.57 (assume @p71 (forall @t191 (or @t189 @t192))) % 0.35/0.57 (assume @p72 (forall @t41 (or @t194 @t193 @t110))) % 0.35/0.57 (assume @p73 (forall @t185 (or @t200 @t199 @t198 @t196))) % 0.35/0.57 (assume @p74 (forall @t185 (or @t200 @t199 @t196 @t198))) % 0.35/0.57 (assume @p75 (forall @t185 (or @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t7 @t1) @t5)))) % 0.35/0.57 (assume @p76 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t86 @t14) @t18))) % 0.35/0.57 (assume @p77 (forall @t185 (or @t13 (= @t7 @t5) @t198))) % 0.35/0.57 (assume @p78 (forall @t185 (or @t13 (not @t201) @t195))) % 0.35/0.57 (assume @p79 (forall @t185 (or @t13 @t201 @t196))) % 0.35/0.57 (assume @p80 (forall @t41 (or @t202 @t110))) % 0.35/0.57 (assume @p81 (forall @t41 (or (= @t20 @t18) @t193))) % 0.35/0.57 (assume @p82 (forall @t41 (or (not @t202) @t108))) % 0.35/0.57 (assume @p83 (forall @t205 (or (tptp.c_lessequals @t204 @t74 @t73) @t203))) % 0.35/0.57 (assume @p84 (forall @t146 (or @t145 (not (tptp.c_lessequals @t38 @t143 @t73))))) % 0.35/0.57 (assume @p85 (forall @t128 (or (= @t207 (tptp.c_Set_Oinsert @t118 @t173 @t1)) (not @t206)))) % 0.35/0.57 (assume @p86 (forall @t129 (or (= @t210 @t130) @t209))) % 0.35/0.57 (assume @p87 (forall (@list @t26 @t118 @t16 @t24 @t1) (= (tptp.c_Set_Oimage @t26 (tptp.c_Set_Oinsert @t118 @t16 @t24) @t24 @t1) (tptp.c_Set_Oinsert @t211 @t27 @t1)))) % 0.35/0.57 (assume @p88 (forall @t181 (or (tptp.c_lessequals @t20 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t180 @t14) @t14) @t212 @t179))) % 0.35/0.57 (assume @p89 (forall (@list @t38 @t63 @t24 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t63 @t57) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t213 (tptp.c_Relation_Oconverse @t63 @t24 @t1) @t36)))) % 0.35/0.57 (assume @p90 (forall @t185 (or @t9 @t214))) % 0.35/0.57 (assume @p91 (forall @t218 (or (tptp.c_lessequals @t217 @t16 @t25) @t216))) % 0.35/0.57 (assume @p92 (forall @t41 (or (= @t86 @t18) @t110))) % 0.35/0.57 (assume @p93 (forall @t41 (or (= @t86 @t16) @t193))) % 0.35/0.57 (assume @p94 (forall @t185 (or @t172 @t219 @t196))) % 0.35/0.57 (assume @p95 (forall @t185 (or @t172 (not @t219) @t195))) % 0.35/0.57 (assume @p96 (forall @t185 (or @t172 (= @t82 @t3) @t198))) % 0.35/0.57 (assume @p97 (forall @t21 (or @t222 @t221 @t179))) % 0.35/0.57 (assume @p98 (forall @t223 (tptp.c_lessequals @t16 @t20 @t14))) % 0.35/0.57 (assume @p99 (forall @t41 (tptp.c_lessequals @t18 @t20 @t14))) % 0.35/0.57 (assume @p100 (forall @t230 (or @t13 @t229 @t227 @t225))) % 0.35/0.57 (assume @p101 (forall @t185 (or @t13 @t231))) % 0.35/0.57 (assume @p102 (forall @t233 (or @t13 @t232))) % 0.35/0.57 (assume @p103 (forall @t80 (or @t13 (tptp.c_lessequals @t4 @t5 @t1) (not @t234) @t198))) % 0.35/0.57 (assume @p104 (forall @t10 (or @t13 @t239 @t238 @t236))) % 0.35/0.57 (assume @p105 (forall @t233 (or @t9 @t232))) % 0.35/0.57 (assume @p106 (forall @t185 (or @t9 @t231))) % 0.35/0.57 (assume @p107 (forall @t41 (= @t86 @t89))) % 0.35/0.57 (assume @p108 (forall @t185 (or @t172 @t240))) % 0.35/0.57 (assume @p109 (forall @t185 (or @t9 @t240))) % 0.35/0.57 (assume @p110 (forall @t191 (or @t190 @t116))) % 0.35/0.57 (assume @p111 (forall @t41 (or (= @t242 @t16) @t110))) % 0.35/0.57 (assume @p112 (forall @t10 (or @t9 (tptp.c_lessequals @t83 @t84 @t1)))) % 0.35/0.57 (assume @p113 (forall (@list @t55 @t1 @t46) (or (= @t123 @t124) (not (tptp.c_lessequals @t55 @t124 @t73)) (not (tptp.c_lessequals @t46 @t55 @t73))))) % 0.35/0.57 (assume @p114 (forall @t41 (tptp.c_lessequals @t40 @t18 @t14))) % 0.35/0.57 (assume @p115 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t173 @t14) @t88 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t17 @t14) @t243 @t14)))) % 0.35/0.57 (assume @p116 (forall @t244 (or @t102 @t107))) % 0.35/0.57 (assume @p117 (forall @t158 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t156 @t154 @t14) @t15 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t157 @t155 @t36)))) % 0.35/0.57 (assume @p118 (forall (@list @t3 @t18 @t1 @t5) (or @t133 @t167))) % 0.35/0.57 (assume @p119 (forall @t247 (or (= (tptp.c_Set_Oinsert @t94 @t217 @t24) @t217) @t246))) % 0.35/0.57 (assume @p120 (forall @t250 (or @t249 @t110 @t245))) % 0.35/0.57 (assume @p121 (forall @t109 (or @t108 @t245 @t251))) % 0.35/0.57 (assume @p122 (forall @t109 (or @t108 @t251 @t245))) % 0.35/0.57 (assume @p123 (forall @t129 (or (= @t210 @t86) @t208))) % 0.35/0.57 (assume @p124 (forall @t128 (or (= @t207 @t173) @t206))) % 0.35/0.57 (assume @p125 (forall @t255 (or @t254 @t253))) % 0.35/0.57 (assume @p126 (forall @t223 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t241 @t18 @t14) @t256))) % 0.35/0.57 (assume @p127 (forall @t41 (= @t242 @t20))) % 0.35/0.57 (assume @p128 (forall (@list @t55 @t257 @t1 @t60 @t46 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t257 @t66) @t46 @t1 @t60 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t55 @t46 @t1 @t60 @t24) (tptp.c_Relation_Orel__comp @t257 @t46 @t1 @t60 @t24) @t36)))) % 0.35/0.57 (assume @p129 (forall (@list @t46 @t55 @t257 @t60 @t24 @t1) (= (tptp.c_Relation_Orel__comp @t46 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t257 (tptp.tc_fun @t258 tptp.tc_bool)) @t1 @t60 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t46 @t55 @t1 @t60 @t24) (tptp.c_Relation_Orel__comp @t46 @t257 @t1 @t60 @t24) @t36)))) % 0.35/0.57 (assume @p130 (forall (@list @t15 @t16 @t1 @t18) (or @t261 @t260))) % 0.35/0.57 (assume @p131 (forall (@list @t15 @t18 @t1 @t16) (or @t151 @t260))) % 0.35/0.57 (assume @p132 (forall @t266 (or @t172 @t265 @t264))) % 0.35/0.57 (assume @p133 (forall (@list @t1 @t5 @t111 @t118) (or @t172 @t267 @t264))) % 0.35/0.57 (assume @p134 (forall @t230 (or @t172 @t268 @t225))) % 0.35/0.57 (assume @p135 (forall @t230 (or @t172 @t268 @t227))) % 0.35/0.57 (assume @p136 (forall @t10 (or @t172 @t195 @t270))) % 0.35/0.57 (assume @p137 (forall @t271 (or @t172 @t235 @t270))) % 0.35/0.57 (assume @p138 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t15 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t273 @t272 @t14)))) % 0.35/0.57 (assume @p139 (forall @t41 (= @t20 @t256))) % 0.35/0.57 (assume @p140 (forall @t185 (or @t13 @t275))) % 0.35/0.57 (assume @p141 (forall @t185 (or @t9 @t275))) % 0.35/0.57 (assume @p142 (forall (@list @t18 @t16 @t1 @t24) (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t36) @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t91 @t14)))) % 0.35/0.57 (assume @p143 (forall (@list @t276 @t1 @t277) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t276 @t1) (tptp.c_Wellfounded_Oacc @t277 @t1) @t14) (not (tptp.c_lessequals @t277 @t276 @t73))))) % 0.35/0.57 (assume @p144 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t20 @t14) @t20))) % 0.35/0.57 (assume @p145 (forall @t185 (or @t13 @t278))) % 0.35/0.57 (assume @p146 (forall @t185 (or @t9 @t278))) % 0.35/0.57 (assume @p147 (forall @t120 (or @t119 (not (tptp.hBOOL (tptp.hAPP @t42 @t279))) @t116))) % 0.35/0.57 (assume @p148 (forall @t126 (= (tptp.c_Transitive__Closure_Ortrancl @t125 @t1) @t122))) % 0.35/0.57 (assume @p149 (forall @t105 (or (= @t104 (tptp.c_Set_Oinsert @t5 @t40 @t1)) @t102))) % 0.35/0.57 (assume @p150 (forall @t165 (or @t164 @t281))) % 0.35/0.57 (assume @p151 (forall @t250 (or @t135 @t281))) % 0.35/0.57 (assume @p152 (forall (@list @t118 @t111 @t24 @t1 @t38) (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert (tptp.c_Pair @t118 @t111 @t24 @t1) @t38 @t56) @t24 @t1) (tptp.c_Set_Oinsert @t111 @t282 @t1)))) % 0.35/0.57 (assume @p153 (forall @t21 (or @t284 (not @t283)))) % 0.35/0.57 (assume @p154 (forall @t23 (or @t283 (not @t284)))) % 0.35/0.57 (assume @p155 (forall (@list @t26 @t285 @t38 @t5 @t1 @t24) (or (not (= (tptp.hAPP @t26 @t287) (tptp.hAPP @t285 @t287))) @t286))) % 0.35/0.57 (assume @p156 (forall @t292 (or @t190 @t291))) % 0.35/0.57 (assume @p157 (forall (@list @t24 @t26 @t5 @t285 @t1) (or (not (tptp.class_HOL_Oord @t24)) (tptp.c_lessequals @t94 (tptp.hAPP @t285 @t5) @t24) (not (tptp.c_lessequals @t26 @t285 @t215))))) % 0.35/0.57 (assume @p158 (forall @t299 (or @t298 @t297 @t295))) % 0.35/0.57 (assume @p159 (forall (@list @t118 @t111 @t18 @t1) (or @t300 @t209))) % 0.35/0.57 (assume @p160 (forall (@list @t118 @t111 @t16 @t1) (or (tptp.c_in @t118 @t112 @t1) (not (tptp.c_in @t118 @t16 @t1))))) % 0.35/0.57 (assume @p161 (forall (@list @t301 @t16 @t1 @t18) (or (tptp.c_in @t301 @t16 @t1) (not (tptp.c_in @t301 @t18 @t1)) @t110))) % 0.35/0.57 (assume @p162 (forall @t244 (or @t102 @t110 @t246))) % 0.35/0.57 (assume @p163 (forall @t302 (or @t296 @t295 @t110))) % 0.35/0.57 (assume @p164 (forall @t244 (or @t102 @t246 @t110))) % 0.35/0.57 (assume @p165 (forall @t299 (or @t303 @t295))) % 0.35/0.57 (assume @p166 (forall @t299 (or @t303 @t297))) % 0.35/0.57 (assume @p167 (forall (@list @t118 @t18 @t1 @t111) (or @t208 @t304 (not @t300)))) % 0.35/0.57 (assume @p168 (forall @t302 (or @t296 @t294 (not @t303)))) % 0.35/0.57 (assume @p169 (forall @t302 (or @t297 @t306))) % 0.35/0.57 (assume @p170 (forall @t307 (or @t294 @t306))) % 0.35/0.57 (assume @p171 (forall @t132 (tptp.c_in @t5 @t44 @t1))) % 0.35/0.57 (assume @p172 (forall (@list @t118 @t16 @t1) (tptp.c_in @t118 @t127 @t1))) % 0.35/0.57 (assume @p173 (forall (@list @t5 @t16 @t1) (tptp.c_in @t5 @t248 @t1))) % 0.35/0.57 (assume @p174 (forall @t302 (or @t296 @t308))) % 0.35/0.57 (assume @p175 (forall @t307 (or @t294 @t308))) % 0.35/0.57 (assume @p176 (forall @t299 (or @t305 @t296 @t295))) % 0.35/0.57 (assume @p177 (forall @t105 (or (not (= @t44 @t248)) @t102 @t245 @t194))) % 0.35/0.57 (assume @p178 (forall (@list @t118 @t18 @t1) (or (= @t131 @t18) @t209))) % 0.35/0.57 (assume @p179 (forall (@list @t5 @t18 @t309 @t26 @t1) (or (not (tptp.c_in @t5 @t18 @t309)) (tptp.c_in @t94 (tptp.c_Set_Oimage @t26 @t18 @t309 @t1) @t1)))) % 0.35/0.57 (assume @p180 (forall @t311 (or @t93 @t310))) % 0.35/0.57 (assume @p181 (forall (@list @t26 @t5 @t18 @t24 @t1) (or @t310 @t93))) % 0.35/0.57 (assume @p182 (forall @t247 (or (tptp.c_in @t94 @t217 @t24) @t246))) % 0.35/0.57 (assume @p183 (forall (@list @t26 @t285 @t18 @t60 @t24 @t1) (= (tptp.c_Set_Oimage @t26 (tptp.c_Set_Oimage @t285 @t18 @t60 @t24) @t24 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t26 @t285 @t24 @t1 @t60) @t18 @t60 @t1)))) % 0.35/0.57 (assume @p184 (forall (@list @t118 @t18 @t1 @t111 @t38) (or @t208 @t304 @t203 @t314))) % 0.35/0.57 (assume @p185 (forall @t191 (tptp.c_Relation_Oirrefl @t316 @t1))) % 0.35/0.57 (assume @p186 (forall @t318 (or (tptp.c_in (tptp.c_Pair @t317 @t111 @t1 @t1) @t38 @t72) @t304 @t314))) % 0.35/0.57 (assume @p187 (forall @t185 (or @t9 @t319))) % 0.35/0.57 (assume @p188 (forall @t10 (or @t172 @t269 @t236 @t196))) % 0.35/0.57 (assume @p189 (forall @t266 (or @t172 @t263 @t321 @t320))) % 0.35/0.57 (assume @p190 (forall @t185 (or @t172 @t319))) % 0.35/0.57 (assume @p191 (forall @t185 (or @t172 @t214))) % 0.35/0.57 (assume @p192 (forall @t41 (tptp.c_lessequals @t86 @t18 @t14))) % 0.35/0.57 (assume @p193 (forall @t41 (tptp.c_lessequals @t86 @t16 @t14))) % 0.35/0.57 (assume @p194 (forall @t176 (or @t259 (not @t261) @t153))) % 0.35/0.57 (assume @p195 (forall @t325 (= (tptp.c_Product__Type_OSigma @t20 @t322 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t324 @t323 @t36)))) % 0.35/0.57 (assume @p196 (forall @t80 (or @t79 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t168 @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t274 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t5 @t1) @t1))))) % 0.35/0.57 (assume @p197 (forall @t10 (or @t79 (= @t183 @t182)))) % 0.35/0.57 (assume @p198 (forall @t23 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t173 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t22 @t14)))) % 0.35/0.57 (assume @p199 (forall @t90 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t173 @t18 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t256 @t243 @t14)))) % 0.35/0.57 (assume @p200 (forall @t205 (or @t326 @t253))) % 0.35/0.57 (assume @p201 (forall @t132 (tptp.hBOOL (tptp.hAPP @t44 @t5)))) % 0.35/0.57 (assume @p202 (forall @t105 (or @t106 @t110 @t103))) % 0.35/0.57 (assume @p203 (forall @t325 (= (tptp.c_Product__Type_OSigma @t40 @t322 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t324 @t323 @t36)))) % 0.35/0.57 (assume @p204 (forall @t185 (or @t9 @t327))) % 0.35/0.57 (assume @p205 (forall @t185 (or @t172 @t327))) % 0.35/0.57 (assume @p206 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t86 @t14) @t86))) % 0.35/0.57 (assume @p207 (forall (@list @t18 @t16 @t24 @t1) (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t57) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t113 @t14)))) % 0.35/0.57 (assume @p208 (forall @t68 (or @t172 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t5 @t1) @t5)))) % 0.35/0.57 (assume @p209 (forall @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t18 @t14) @t18))) % 0.35/0.57 (assume @p210 (forall @t80 (or @t13 @t237 @t328))) % 0.35/0.57 (assume @p211 (forall @t271 (or @t13 @t235 @t328))) % 0.35/0.57 (assume @p212 (forall @t266 (or @t13 @t329 @t321))) % 0.35/0.57 (assume @p213 (forall @t266 (or @t13 @t329 @t320))) % 0.35/0.57 (assume @p214 (forall (@list @t1 @t111 @t5 @t118) (or @t13 @t226 @t330))) % 0.35/0.57 (assume @p215 (forall (@list @t1 @t118 @t5 @t111) (or @t13 @t224 @t330))) % 0.35/0.57 (assume @p216 (forall @t184 (or @t178 @t331))) % 0.35/0.57 (assume @p217 (forall @t90 (or @t220 @t331))) % 0.35/0.57 (assume @p218 (forall (@list @t1 @t2 @t5 @t3) (or @t200 @t234 (not (tptp.c_lessequals @t2 @t3 @t1)) @t198))) % 0.35/0.57 (assume @p219 (forall @t271 (or @t332 @t235 @t238 @t196))) % 0.35/0.57 (assume @p220 (forall @t333 (tptp.c_lessequals @t5 @t5 @t14))) % 0.35/0.57 (assume @p221 (forall @t69 (tptp.c_lessequals @t18 @t18 @t14))) % 0.35/0.57 (assume @p222 (forall @t184 (or @t178 @t221 @t110))) % 0.35/0.57 (assume @p223 (forall @t338 (or @t337 @t336 @t334))) % 0.35/0.57 (assume @p224 (forall (@list @t339 @t1 @t38) (or (tptp.c_Wellfounded_Owf @t339 @t1) (not (tptp.c_lessequals @t339 @t38 @t73)) @t116))) % 0.35/0.57 (assume @p225 (forall @t68 (or @t200 @t340))) % 0.35/0.57 (assume @p226 (forall @t68 (or @t332 @t340))) % 0.35/0.57 (assume @p227 (forall @t146 (or @t341 (not (tptp.c_Relation_Oantisym @t63 @t1)) @t142))) % 0.35/0.57 (assume @p228 (forall @t338 (or @t337 @t334 @t336))) % 0.35/0.57 (assume @p229 (forall @t146 (or @t190 @t142 (not (tptp.c_Wellfounded_Oacyclic @t63 @t1))))) % 0.35/0.57 (assume @p230 (forall @t344 (or @t343 (not (tptp.c_Relation_Osingle__valued @t63 @t1 @t24)) @t342))) % 0.35/0.57 (assume @p231 (forall @t181 (or (tptp.c_lessequals @t86 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t180 @t14) @t14) @t212 @t179))) % 0.35/0.57 (assume @p232 (forall @t23 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t17 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t273 @t14)))) % 0.35/0.57 (assume @p233 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t86 @t15 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t272 @t14)))) % 0.35/0.57 (assume @p234 (forall @t344 (or (tptp.c_lessequals @t136 (tptp.c_Relation_ODomain @t63 @t1 @t24) @t14) @t342))) % 0.35/0.57 (assume @p235 (forall @t23 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t173 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t273 @t14)))) % 0.35/0.57 (assume @p236 (forall @t109 (or @t280 @t166 @t167))) % 0.35/0.57 (assume @p237 (forall (@list @t16 @t15 @t18 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 (tptp.c_HOL_Ominus__class_Ominus @t15 @t18 @t14) @t14) @t18) @t221 @t110))) % 0.35/0.57 (assume @p238 (forall @t348 (or @t347 @t346 @t345 @t198))) % 0.35/0.57 (assume @p239 (forall @t348 (or @t347 @t346 @t197 (not @t345)))) % 0.35/0.57 (assume @p240 (forall @t218 (or (tptp.c_lessequals @t217 (tptp.c_Set_Oimage @t26 @t16 @t1 @t24) @t25) @t110))) % 0.35/0.57 (assume @p241 (forall @t311 (or (not (tptp.c_lessequals @t5 @t18 @t25)) (tptp.c_lessequals (tptp.c_Set_Oimage @t26 @t5 @t24 @t1) @t28 @t14)))) % 0.35/0.57 (assume @p242 (forall (@list @t118 @t15 @t1 @t180) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t118 @t15 @t1) (tptp.c_Set_Oinsert @t118 @t180 @t1) @t14) (not (tptp.c_lessequals @t15 @t180 @t14))))) % 0.35/0.57 (assume @p243 (forall @t148 (= (tptp.c_Set_Oimage @t26 @t53 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t27 @t14)))) % 0.35/0.57 (assume @p244 (forall (@list @t58 @t349 @t1 @t24 @t38 @t18) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t58 @t349 @t1 @t24) @t350 @t25) (not (tptp.c_lessequals @t349 @t18 @t14)) @t59))) % 0.35/0.57 (assume @p245 (forall @t76 (or @t75 @t351))) % 0.35/0.57 (assume @p246 (forall @t233 (or (not (tptp.class_Orderings_Olinorder @t1)) @t197 @t195))) % 0.35/0.57 (assume @p247 (forall @t356 (or (not (= (tptp.hAPP @t353 @t355) (tptp.hAPP @t355 @t352))) @t354))) % 0.35/0.57 (assume @p248 (forall @t205 (or @t357 @t253))) % 0.35/0.57 (assume @p249 (forall @t360 (or @t290 @t359 @t192))) % 0.35/0.57 (assume @p250 (forall @t362 (or @t361 @t291))) % 0.35/0.57 (assume @p251 (forall @t367 (or @t366 (tptp.c_in (tptp.c_Pair @t365 @t364 @t1 @t1) @t38 @t72) @t363 @t314))) % 0.35/0.57 (assume @p252 (forall (@list @t43 @t38 @t1 @t34) (or (tptp.c_in @t369 @t43 @t1) @t368 @t116))) % 0.35/0.57 (assume @p253 (forall (@list @t43 @t46 @t1 @t5) (or (tptp.c_in @t371 @t43 @t1) @t370 @t48))) % 0.35/0.57 (assume @p254 (forall @t101 (or (not (= @t98 @t97)) @t95 @t194))) % 0.35/0.57 (assume @p255 (forall @t292 (or @t115 @t373))) % 0.35/0.57 (assume @p256 (forall @t377 (or (tptp.c_in @t376 @t18 @t24) @t375))) % 0.35/0.57 (assume @p257 (forall @t377 (or (tptp.c_in @t378 @t18 @t24) @t375))) % 0.35/0.57 (assume @p258 (forall @t380 (or @t379 (not (tptp.c_in @t5 @t124 @t72))))) % 0.35/0.57 (assume @p259 (forall @t380 (or @t379 (not (tptp.c_in @t5 @t123 @t72))))) % 0.35/0.57 (assume @p260 (forall (@list @t339 @t63 @t1 @t38) (or (tptp.c_in @t339 (tptp.c_Transitive__Closure_Otrancl @t63 @t1) @t72) @t142 (not @t381)))) % 0.35/0.57 (assume @p261 (forall @t120 (or @t119 (not (tptp.hBOOL (tptp.hAPP @t42 @t385))) @t384))) % 0.35/0.57 (assume @p262 (forall @t389 (or @t335 (not (tptp.hBOOL (tptp.hAPP @t42 @t388))) @t387))) % 0.35/0.57 (assume @p263 (forall @t120 (or @t119 (tptp.c_in @t390 @t382 @t1) @t384))) % 0.35/0.57 (assume @p264 (forall @t394 (or (not (tptp.c_in @t393 @t391 @t1)) @t392))) % 0.35/0.57 (assume @p265 (forall @t120 (or @t119 (not (tptp.hBOOL (tptp.hAPP @t42 @t390))) @t384))) % 0.35/0.57 (assume @p266 (forall @t389 (or @t335 (not (tptp.hBOOL (tptp.hAPP @t42 @t395))) @t387))) % 0.35/0.57 (assume @p267 (forall @t398 (or @t397 (not (tptp.c_in @t396 @t382 @t1))))) % 0.35/0.57 (assume @p268 (forall @t120 (or @t119 (tptp.c_in @t385 @t382 @t1) @t384))) % 0.35/0.57 (assume @p269 (forall @t126 (or @t400 (not @t160)))) % 0.35/0.57 (assume @p270 (forall @t161 (or @t160 (not @t400)))) % 0.35/0.57 (assume @p271 (forall @t191 (= @t204 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 (tptp.c_Relation_Orel__comp @t204 @t38 @t1 @t1 @t1) @t73)))) % 0.35/0.57 (assume @p272 (forall @t401 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t315 @t73) @t124))) % 0.35/0.57 (assume @p273 (forall @t401 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t315 @t73) @t1) @t124))) % 0.35/0.57 (assume @p274 (forall @t191 (= (tptp.c_Transitive__Closure_Ortrancl @t316 @t1) @t144))) % 0.35/0.57 (assume @p275 (forall @t191 (or (tptp.c_Relation_Oantisym @t144 @t1) @t192))) % 0.35/0.57 (assume @p276 (forall @t191 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t38 @t38 @t1 @t1 @t1) @t38 @t73) @t402))) % 0.35/0.57 (assume @p277 (forall @t191 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t188 @t73) @t1))) % 0.35/0.57 (assume @p278 (forall @t407 (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Oabove @t405 @t5 @t3) tptp.c_Arrow__Order__Mirabelle_OLin @t404) @t406 @t199))) % 0.35/0.57 (assume @p279 (forall @t191 (or (tptp.c_Relation_Otrans @t408 @t1) @t402))) % 0.35/0.57 (assume @p280 (forall (@list @t18 @t1 @t16) (= (tptp.c_Relation_OImage @t77 @t16 @t1 @t1) @t86))) % 0.35/0.57 (assume @p281 (forall @t191 (or @t341 (not @t409)))) % 0.35/0.57 (assume @p282 (forall @t191 (or @t409 @t410))) % 0.35/0.57 (assume @p283 (forall @t255 (or @t254 (not @t411)))) % 0.35/0.57 (assume @p284 (forall @t255 (or @t411 @t412))) % 0.35/0.57 (assume @p285 (forall @t367 (or @t366 (tptp.c_in (tptp.c_Pair @t118 @t365 @t1 @t1) @t144 @t72) @t363 @t314))) % 0.35/0.57 (assume @p286 (forall @t367 (or @t366 (not (tptp.hBOOL (tptp.hAPP @t42 @t364))) @t363 @t314))) % 0.35/0.57 (assume @p287 (forall @t421 (or (tptp.c_in (tptp.c_Pair @t416 @t420 tptp.t_a tptp.t_a) @t414 @t413) @t419 @t418))) % 0.35/0.57 (assume @p288 (forall @t367 (or @t366 (tptp.hBOOL (tptp.hAPP @t42 @t365)) @t363 @t314))) % 0.35/0.57 (assume @p289 (forall @t421 (or (tptp.c_in (tptp.c_Pair @t420 @t415 tptp.t_a tptp.t_a) @t38 @t413) @t419 @t418))) % 0.35/0.57 (assume @p290 (forall (@list @t42 @t118 @t111 @t38 @t1) (or @t119 (not (tptp.hBOOL (tptp.hAPP @t42 (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t42 @t111 @t38 @t1)))) (not @t366) @t314))) % 0.35/0.57 (assume @p291 (forall @t318 (or (tptp.c_in (tptp.c_Pair @t118 @t317 @t1 @t1) @t144 @t72) @t304 @t314))) % 0.35/0.57 (assume @p292 (forall @t423 (or @t119 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t279 @t1 @t1) @t38 @t72)) @t116))) % 0.35/0.57 (assume @p293 (forall (@list @t42 @t34 @t3 @t38 @t1) (or (tptp.hBOOL (tptp.hAPP @t42 @t34)) @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t186 @t1 @t1) @t38 @t72)) @t116))) % 0.35/0.57 (assume @p294 (forall (@list @t42 @t424 @t3 @t46 @t1) (or (tptp.hBOOL (tptp.hAPP @t42 @t424)) @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t49 @t1 @t1) @t46 @t72)) @t48))) % 0.35/0.57 (assume @p295 (forall @t423 (or @t119 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t117 @t1 @t1) @t38 @t72)) @t116))) % 0.35/0.57 (assume @p296 (forall @t429 (or @t428 (tptp.c_in (tptp.c_Pair @t425 @t425 @t1 @t1) @t204 @t72)))) % 0.35/0.57 (assume @p297 (forall (@list @t38 @t5 @t2 @t1) (or (tptp.c_in (tptp.c_Pair @t434 @t2 @t1 @t1) @t204 @t72) @t433 @t432))) % 0.35/0.57 (assume @p298 (forall @t439 (or (tptp.c_in (tptp.c_Pair @t5 @t438 @t1 @t1) @t46 @t72) @t437))) % 0.35/0.57 (assume @p299 (forall @t421 (or (tptp.c_in (tptp.c_Pair @t416 @t443 tptp.t_a tptp.t_a) @t440 @t413) @t442 @t441))) % 0.35/0.57 (assume @p300 (forall @t429 (or (not (tptp.c_in @t426 @t204 @t72)) @t192))) % 0.35/0.57 (assume @p301 (forall @t318 (or (tptp.c_in (tptp.c_Pair @t447 @t111 @t1 @t1) @t38 @t72) @t446 @t445))) % 0.35/0.57 (assume @p302 (forall @t318 (or (tptp.c_in (tptp.c_Pair @t118 @t447 @t1 @t1) @t204 @t72) @t446 @t445))) % 0.35/0.57 (assume @p303 (forall @t449 (or (tptp.c_in (tptp.c_Pair @t448 @t3 @t1 @t1) @t46 @t72) @t437))) % 0.35/0.57 (assume @p304 (forall (@list @t5 @t38 @t2 @t1) (or (tptp.c_in (tptp.c_Pair @t5 @t434 @t1 @t1) @t38 @t72) @t433 @t432))) % 0.35/0.57 (assume @p305 (forall @t421 (or (tptp.c_in (tptp.c_Pair @t443 @t415 tptp.t_a tptp.t_a) @t38 @t413) @t442 @t441))) % 0.35/0.57 (assume @p306 (forall @t452 (or (tptp.c_in (tptp.c_Pair @t451 @t293 @t60 @t24) @t63 @t258) @t450))) % 0.35/0.57 (assume @p307 (forall @t452 (or (tptp.c_in (tptp.c_Pair @t118 @t451 @t1 @t60) @t38 @t65) @t450))) % 0.35/0.57 (assume @p308 (forall @t455 (or @t454 (tptp.c_in @t453 @t18 @t1)))) % 0.35/0.57 (assume @p309 (forall @t455 (or @t454 (tptp.c_in @t456 @t18 @t1)))) % 0.35/0.57 (assume @p310 (forall @t455 (or @t454 (not (tptp.c_in (tptp.hAPP @t26 @t453) (tptp.hAPP @t16 @t453) @t24))))) % 0.35/0.57 (assume @p311 (forall @t457 (or (tptp.c_in @t94 @t16 @t24) @t246 @t216))) % 0.35/0.57 (assume @p312 (forall @t455 (or @t454 (not (tptp.c_in (tptp.hAPP @t26 @t456) (tptp.hAPP @t16 @t456) @t24))))) % 0.35/0.57 (assume @p313 (forall (@list @t339 @t1) (or (= @t339 (tptp.c_Pair @t458 @t458 @t1 @t1)) (not (tptp.c_in @t339 @t315 @t72))))) % 0.35/0.57 (assume @p314 (forall @t191 (or @t115 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t38 @t1) @t382 @t1))))) % 0.35/0.57 (assume @p315 (forall @t191 (or @t115 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t38 @t1) @t382 @t1))))) % 0.35/0.57 (assume @p316 (forall (@list @t18 @t293 @t1) (or (tptp.c_in @t460 @t18 @t1) @t459))) % 0.35/0.57 (assume @p317 (forall (@list @t293 @t18 @t1) (or (= @t293 (tptp.c_Pair @t460 @t460 @t1 @t1)) @t459))) % 0.35/0.57 (assume @p318 (forall (@list @t26 @t38 @t5 @t1 @t24 @t285) (or @t286 (tptp.c_in (tptp.c_Pair @t287 @t5 @t1 @t1) @t38 @t72)))) % 0.35/0.57 (assume @p319 (forall @t191 (= @t461 @t144))) % 0.35/0.57 (assume @p320 (forall @t191 (= (tptp.c_Transitive__Closure_Otrancl @t408 @t1) @t144))) % 0.35/0.57 (assume @p321 (forall @t191 (= @t144 @t461))) % 0.35/0.57 (assume @p322 (forall @t191 (= @t144 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t315 @t462 @t73)))) % 0.35/0.57 (assume @p323 (forall @t205 (or (tptp.c_lessequals @t38 @t463 @t73) @t71))) % 0.35/0.57 (assume @p324 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 0.35/0.57 (assume @p325 (forall @t191 (or @t357 (tptp.c_in (tptp.c_Pair @t464 @t464 @t1 @t1) @t38 @t72)))) % 0.35/0.57 (assume @p326 (forall @t54 (or (= @t150 @t149) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t46 @t24 @t1) @t1 @t24))))) % 0.35/0.57 (assume @p327 (forall @t191 (or (tptp.c_Relation_Otrans @t316 @t1) @t410 @t402))) % 0.35/0.57 (assume @p328 (forall @t467 (or @t466 (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 @t353) tptp.c_Arrow__Order__Mirabelle_OProf @t465)))) % 0.35/0.57 (assume @p329 (forall @t467 (or @t466 (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 @t353) tptp.c_Arrow__Order__Mirabelle_OProf @t465)))) % 0.35/0.57 (assume @p330 (forall @t191 (or @t469 (not (tptp.c_in (tptp.c_Pair @t468 @t468 @t1 @t1) @t38 @t72))))) % 0.35/0.57 (assume @p331 (forall @t356 (or @t354 (tptp.c_in @t355 tptp.c_Arrow__Order__Mirabelle_OProf @t465)))) % 0.35/0.57 (assume @p332 (forall @t255 (or @t252 @t412 @t470 @t402))) % 0.35/0.57 (assume @p333 (forall @t467 (or @t471 (tptp.c_in (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 @t353) tptp.c_Arrow__Order__Mirabelle_OProf @t465)))) % 0.35/0.57 (assume @p334 (forall (@list @t3 @t43 @t1 @t46 @t5) (or @t472 (not (tptp.c_in (tptp.c_Pair @t3 @t371 @t1 @t1) @t46 @t72)) @t370 @t48))) % 0.35/0.57 (assume @p335 (forall (@list @t3 @t43 @t1 @t38 @t34) (or @t472 (not (tptp.c_in (tptp.c_Pair @t3 @t369 @t1 @t1) @t38 @t72)) @t368 @t116))) % 0.35/0.57 (assume @p336 (forall (@list @t26 @t118 @t111 @t1 @t24 @t60 @t18) (or (tptp.c_in @t474 (tptp.c_Set_Oimage @t473 @t18 @t35 @t60) @t60) (not (tptp.c_in @t137 @t18 @t35))))) % 0.35/0.57 (assume @p337 (forall @t377 (or (tptp.c_in (tptp.c_Pair @t376 @t111 @t24 @t1) @t38 @t56) @t375))) % 0.35/0.57 (assume @p338 (forall @t377 (or (tptp.c_in (tptp.c_Pair @t378 @t111 @t24 @t1) @t38 @t56) @t375))) % 0.35/0.57 (assume @p339 (forall @t477 (or (tptp.c_in (tptp.c_Pair @t118 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t118 @t38 @t1 @t24) @t1 @t24) @t38 @t35) @t476))) % 0.35/0.57 (assume @p340 (forall @t477 (or (tptp.c_in (tptp.c_Pair @t118 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t118 @t38 @t1 @t24) @t1 @t24) @t38 @t35) @t476))) % 0.35/0.57 (assume @p341 (forall @t394 (or (tptp.c_in (tptp.c_Pair @t393 @t5 @t1 @t1) @t46 @t72) @t392))) % 0.35/0.57 (assume @p342 (forall @t423 (or @t119 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t390 @t1 @t1) @t38 @t72)) @t384))) % 0.35/0.57 (assume @p343 (forall @t478 (or @t335 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t395 tptp.t_a tptp.t_a) @t38 @t413)) @t387))) % 0.35/0.57 (assume @p344 (forall @t398 (or @t397 (tptp.c_in (tptp.c_Pair @t396 @t5 @t1 @t1) @t38 @t72)))) % 0.35/0.57 (assume @p345 (forall @t481 (or @t335 @t480 (not (tptp.c_in (tptp.c_Pair @t479 @t388 tptp.t_a tptp.t_a) @t38 @t413)) @t387))) % 0.35/0.57 (assume @p346 (forall @t478 (or @t335 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t388 tptp.t_a tptp.t_a) @t38 @t413)) @t387))) % 0.35/0.57 (assume @p347 (forall @t481 (or @t335 @t480 (not (tptp.c_in (tptp.c_Pair @t479 @t395 tptp.t_a tptp.t_a) @t38 @t413)) @t387))) % 0.35/0.57 (assume @p348 (forall @t423 (or @t119 @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t385 @t1 @t1) @t38 @t72)) @t384))) % 0.35/0.57 (assume @p349 (forall @t362 (or @t361 @t373))) % 0.35/0.57 (assume @p350 (forall @t360 (or @t372 @t359 @t116))) % 0.35/0.57 (assume @p351 (forall (@list @t111 @t38 @t1 @t24) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t111 @t38 @t1 @t24) @t111 @t24 @t1) @t38 @t56) (not (tptp.c_in @t111 @t282 @t1))))) % 0.35/0.57 (assume @p352 (forall @t477 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t118 @t38 @t1 @t24) @t118 @t24 @t1) @t38 @t56) (not @t482)))) % 0.35/0.57 (assume @p353 (forall @t439 (or (tptp.c_in (tptp.c_Pair @t5 @t448 @t1 @t1) @t124 @t72) @t437))) % 0.35/0.57 (assume @p354 (forall @t449 (or (tptp.c_in (tptp.c_Pair @t438 @t3 @t1 @t1) @t124 @t72) @t437))) % 0.35/0.57 (assume @p355 (forall @t485 (or (not (tptp.c_in @t484 @t483 @t403)) @t406 @t304))) % 0.35/0.57 (assume @p356 (forall @t493 (or @t492 @t490 @t490 @t406 @t489 @t488))) % 0.35/0.57 (assume @p357 (forall (@list @t5 @t111 @t3 @t405) (or @t498 @t199 @t406 @t498 @t497 @t496))) % 0.35/0.57 (assume @p358 (forall (@list @t5 @t3 @t405 @t111 @t118) (or @t495 @t500 @t498 (not @t499) @t406 @t304))) % 0.35/0.57 (assume @p359 (forall @t501 (or @t490 (not @t488) @t406 @t489 @t491 (= @t34 @t118)))) % 0.35/0.57 (assume @p360 (forall (@list @t5 @t3 @t405 @t118) (or (not @t503) @t406 @t489 @t502))) % 0.35/0.57 (assume @p361 (forall @t506 (or @t499 @t496 @t505 @t504 @t199 @t406 @t304))) % 0.35/0.57 (assume @p362 (forall @t509 (or @t508 @t490 @t406 @t490 @t507))) % 0.35/0.57 (assume @p363 (forall (@list @t118 @t3 @t405 @t5) (or @t504 @t199 @t406 @t489 @t503))) % 0.35/0.57 (assume @p364 (forall @t506 (or @t499 @t496 @t500 @t498 @t199 @t406 @t304))) % 0.35/0.57 (assume @p365 (forall @t493 (or @t492 (not (tptp.c_in (tptp.c_Pair @t118 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) @t490 @t406 @t489 @t488))) % 0.35/0.57 (assume @p366 (forall (@list @t5 @t3 @t405 @t111) (or @t496 @t199 @t406 @t498 @t497 @t496))) % 0.35/0.57 (assume @p367 (forall @t506 (or @t499 @t496 @t500 @t504 @t199 @t406 @t304))) % 0.35/0.57 (assume @p368 (forall @t506 (or @t499 @t496 @t505 @t498 @t199 @t406 @t304))) % 0.35/0.57 (assume @p369 (forall @t509 (or @t490 @t490 @t406 @t490 @t507))) % 0.35/0.57 (assume @p370 (forall @t191 (or (tptp.c_lessequals @t463 @t38 @t73) @t402 @t140))) % 0.35/0.57 (assume @p371 (forall (@list @t405) (or (tptp.c_in (tptp.c_COMBK @t405 @t404 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.c_Arrow__Order__Mirabelle_OProf @t465) @t406))) % 0.35/0.57 (assume @p372 (forall (@list @t511 @t512 @t5 @t3 @t1 @t38 @t18) (or @t514 @t513 (not (tptp.c_in @t3 @t512 @t1)) (not (tptp.c_in @t5 @t511 @t1)) (not (tptp.c_in @t512 @t510 @t14)) (not (tptp.c_in @t511 @t510 @t14)) @t351))) % 0.35/0.57 (assume @p373 (forall (@list @t3 @t5 @t1 @t34 @t18 @t38) (or (not (tptp.c_in @t3 @t5 @t1)) (not (tptp.c_in @t34 @t5 @t1)) @t515 @t515 @t351 (tptp.c_in (tptp.c_Pair @t34 @t3 @t1 @t1) @t38 @t72)))) % 0.35/0.57 (assume @p374 (forall @t506 (or @t522 @t496 @t518 @t516 @t199 @t406 @t304))) % 0.35/0.57 (assume @p375 (forall @t509 (or @t490 @t526 @t406 @t526 @t525))) % 0.35/0.57 (assume @p376 (forall @t485 (or (not (tptp.c_in @t484 @t521 @t403)) @t406 @t304))) % 0.35/0.57 (assume @p377 (forall @t529 (or @t518 @t134 @t199 @t406 @t498 @t528))) % 0.35/0.57 (assume @p378 (forall (@list @t5 @t118 @t34 @t405) (or @t531 @t490 @t406 @t489 @t530 @t508))) % 0.35/0.57 (assume @p379 (forall @t506 (or @t495 @t531 @t516 (not @t522) @t406 @t304))) % 0.35/0.57 (assume @p380 (forall (@list @t3 @t5 @t405 @t111) (or @t134 (not @t528) @t406 @t498 @t517 @t500))) % 0.35/0.57 (assume @p381 (forall (@list @t34 @t5 @t405 @t111) (or (not @t533) @t406 @t498 @t532))) % 0.35/0.57 (assume @p382 (forall @t506 (or @t522 @t496 @t518 @t534 @t199 @t406 @t304))) % 0.35/0.57 (assume @p383 (forall (@list @t5 @t34 @t405) (or (not (tptp.c_in @t524 @t405 @t403)) @t526 @t406 @t526 @t525))) % 0.35/0.57 (assume @p384 (forall (@list @t34 @t111 @t405 @t5) (or (not @t532) @t490 @t406 @t498 @t533))) % 0.35/0.57 (assume @p385 (forall @t506 (or @t522 @t496 @t531 @t534 @t199 @t406 @t304))) % 0.35/0.57 (assume @p386 (forall @t501 (or @t508 @t490 @t406 @t489 @t530 @t508))) % 0.35/0.57 (assume @p387 (forall @t529 (or @t518 @t534 @t199 @t406 @t498 @t528))) % 0.35/0.57 (assume @p388 (forall @t538 (or @t199 @t537 @t535))) % 0.35/0.57 (assume @p389 (forall (@list @t5 @t46 @t1) (or @t535 @t539))) % 0.35/0.57 (assume @p390 (forall @t543 (or @t542 @t541 @t384))) % 0.35/0.57 (assume @p391 (forall @t543 (or @t542 @t384 @t541))) % 0.35/0.57 (assume @p392 (forall (@list @t111 @t118 @t405) (or (not (tptp.c_in (tptp.c_Pair @t111 @t118 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t405 @t403)) (not (tptp.c_in @t544 @t405 @t403)) @t406))) % 0.35/0.57 (assume @p393 (forall (@list @t3 @t5 @t405) (or @t545 @t495 @t199 @t406))) % 0.35/0.57 (assume @p394 (forall @t546 (or @t496 (not @t545) @t199 @t406))) % 0.35/0.57 (assume @p395 (forall @t548 (or (tptp.c_in @t339 @t144 @t72) @t547))) % 0.35/0.57 (assume @p396 (forall @t548 (or @t381 @t547))) % 0.35/0.57 (assume @p397 (forall @t554 (or @t553 @t551 @t549))) % 0.35/0.57 (assume @p398 (forall @t554 (or @t553 @t555 @t314))) % 0.35/0.57 (assume @p399 (forall @t538 (or @t536 @t437 @t199))) % 0.35/0.57 (assume @p400 (forall @t538 (or @t436 @t199 @t537))) % 0.35/0.57 (assume @p401 (forall (@list @t118 @t111 @t1 @t46) (or (tptp.c_in @t312 @t435 @t72) @t304 (not (tptp.c_in @t312 @t124 @t72))))) % 0.35/0.57 (assume @p402 (forall @t362 (or @t558 (not @t556)))) % 0.35/0.57 (assume @p403 (forall @t360 (or @t556 (not @t558)))) % 0.35/0.57 (assume @p404 (forall (@list @t2 @t3 @t1 @t38 @t5) (or (tptp.c_in (tptp.c_Pair @t2 @t3 @t1 @t1) @t144 @t72) (tptp.c_in @t559 @t144 @t72) (not (tptp.c_in @t430 @t144 @t72)) @t361 (not (tptp.c_Relation_Osingle__valued @t38 @t1 @t1))))) % 0.35/0.57 (assume @p405 (forall @t560 (or @t313 @t445))) % 0.35/0.57 (assume @p406 (forall @t554 (or @t553 @t551 @t445))) % 0.35/0.57 (assume @p407 (forall @t561 (or @t431 (not (tptp.c_in @t559 @t204 @t72)) @t361))) % 0.35/0.57 (assume @p408 (forall @t362 (or @t565 (not @t563)))) % 0.35/0.57 (assume @p409 (forall @t362 (or @t563 (not @t565)))) % 0.35/0.57 (assume @p410 (forall (@list @t26 @t24 @t60 @t1 @t118 @t111) (= (tptp.hAPP (tptp.c_split @t26 @t24 @t60 @t1) @t566) @t474))) % 0.35/0.57 (assume @p411 (forall (@list @t26 @t1 @t24 @t60 @t118 @t111) (= (tptp.hAPP @t473 @t137) @t474))) % 0.35/0.57 (assume @p412 (forall (@list @t46 @t118 @t111 @t293 @t1 @t24 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t46 @t118) @t111) @t293)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t46 @t1 @t24 @t159) @t137) @t293)))))) % 0.35/0.57 (assume @p413 (forall @t398 (or @t397 @t116))) % 0.35/0.57 (assume @p414 (forall @t69 (tptp.c_Relation_Osingle__valued @t77 @t1 @t1))) % 0.35/0.57 (assume @p415 (forall @t191 (or (tptp.c_Relation_Osym @t204 @t1) @t140))) % 0.35/0.57 (assume @p416 (forall @t191 (or (= @t204 @t38) @t402))) % 0.35/0.57 (assume @p417 (forall @t191 (or @t139 (not @t567)))) % 0.35/0.57 (assume @p418 (forall @t191 (or @t567 @t140))) % 0.35/0.57 (assume @p419 (forall @t191 (= (tptp.c_Relation_ODomain @t204 @t1 @t1) @t568))) % 0.35/0.57 (assume @p420 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.35/0.57 (assume @p421 (forall @t569 (tptp.c_Relation_Osym @t315 @t1))) % 0.35/0.57 (assume @p422 (forall @t69 (tptp.c_Relation_Otrans @t77 @t1))) % 0.35/0.57 (assume @p423 (forall (@list @t1 @t46 @t24) (= (tptp.c_Relation_Orel__comp @t315 @t46 @t1 @t1 @t24) @t46))) % 0.35/0.57 (assume @p424 (forall (@list @t46 @t24 @t1) (= (tptp.c_Relation_Orel__comp @t46 (tptp.c_Relation_OId @t24) @t1 @t24 @t24) @t46))) % 0.35/0.57 (assume @p425 (forall @t69 (tptp.c_Relation_Oantisym @t77 @t1))) % 0.35/0.57 (assume @p426 (forall @t191 (or (tptp.c_Wellfounded_Owf @t564 @t1) (not (tptp.c_Wellfounded_Owf @t188 @t1))))) % 0.35/0.57 (assume @p427 (forall @t255 (or @t70 (not @t570)))) % 0.35/0.57 (assume @p428 (forall @t255 (or @t570 @t71))) % 0.35/0.57 (assume @p429 (forall @t191 (or (tptp.c_Relation_Osym @t144 @t1) @t140))) % 0.35/0.57 (assume @p430 (forall @t401 (or @t571 @t48))) % 0.35/0.57 (assume @p431 (forall @t401 (or @t47 (not @t571)))) % 0.35/0.57 (assume @p432 (forall (@list @t1 @t18) (= (tptp.c_Relation_OImage @t315 @t18 @t1 @t1) @t18))) % 0.35/0.57 (assume @p433 (forall @t569 (tptp.c_Relation_Osingle__valued @t315 @t1 @t1))) % 0.35/0.57 (assume @p434 (forall @t69 (= (tptp.c_Relation_ODomain @t77 @t1 @t1) @t18))) % 0.35/0.57 (assume @p435 (forall @t191 (or @t572 @t140))) % 0.35/0.57 (assume @p436 (forall @t191 (or (not @t572) @t139))) % 0.35/0.57 (assume @p437 (forall @t191 (= (tptp.c_Relation_ORange @t204 @t1 @t1) (tptp.c_Relation_ORange @t38 @t1 @t1)))) % 0.35/0.57 (assume @p438 (forall @t191 (tptp.c_Relation_Otrans @t204 @t1))) % 0.35/0.57 (assume @p439 (forall (@list @t38 @t63 @t24 @t60 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t38 @t63 @t24 @t60 @t1) @t24 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t63 @t60 @t1) (tptp.c_Relation_Oconverse @t38 @t24 @t60) @t1 @t60 @t24)))) % 0.35/0.57 (assume @p440 (forall @t69 (tptp.c_Relation_Osym @t77 @t1))) % 0.35/0.57 (assume @p441 (forall @t69 (tptp.c_Relation_Orefl__on @t18 @t77 @t1))) % 0.35/0.57 (assume @p442 (forall @t574 (or (tptp.c_Wellfounded_Owf @t573 @t24) @t116))) % 0.35/0.57 (assume @p443 (forall @t191 (= @t575 @t462))) % 0.35/0.57 (assume @p444 (forall @t574 (or (tptp.c_Relation_Osym @t573 @t24) @t140))) % 0.35/0.57 (assume @p445 (forall @t401 (= (tptp.c_Transitive__Closure_Otrancl @t124 @t1) @t124))) % 0.35/0.57 (assume @p446 (forall @t191 (tptp.c_Relation_Otrans @t144 @t1))) % 0.35/0.57 (assume @p447 (forall @t191 (or @t326 (not @t576)))) % 0.35/0.57 (assume @p448 (forall @t191 (or @t576 @t402))) % 0.35/0.57 (assume @p449 (forall @t569 (= (tptp.c_Relation_Oconverse @t315 @t1 @t1) @t315))) % 0.35/0.57 (assume @p450 (forall @t191 (or (tptp.c_Wellfounded_Owf @t204 @t1) @t116))) % 0.35/0.57 (assume @p451 (forall (@list @t46 @t55 @t1 @t577 @t60 @t257 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t46 @t55 @t1 @t577 @t60) @t257 @t1 @t60 @t24) (tptp.c_Relation_Orel__comp @t46 (tptp.c_Relation_Orel__comp @t55 @t257 @t577 @t60 @t24) @t1 @t577 @t24)))) % 0.35/0.57 (assume @p452 (forall (@list @t46 @t26 @t24 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t46 @t26 @t24 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t46 @t24 @t24) @t26 @t24 @t1)))) % 0.35/0.57 (assume @p453 (forall @t191 (= @t562 @t564))) % 0.35/0.57 (assume @p454 (forall @t574 (or (tptp.c_Relation_Otrans @t573 @t24) @t402))) % 0.35/0.57 (assume @p455 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.35/0.57 (assume @p456 (forall @t69 (= (tptp.c_Relation_Oconverse @t77 @t1 @t1) @t77))) % 0.35/0.57 (assume @p457 (forall @t191 (or (not @t578) (tptp.c_Equiv__Relations_Oequiv @t568 @t38 @t1)))) % 0.35/0.57 (assume @p458 (forall @t569 (tptp.c_Relation_Oantisym @t315 @t1))) % 0.35/0.57 (assume @p459 (forall @t580 (= (tptp.c_Relation_ORange @t579 @t24 @t1) @t136))) % 0.35/0.57 (assume @p460 (forall @t69 (= (tptp.c_Relation_ORange @t77 @t1 @t1) @t18))) % 0.35/0.57 (assume @p461 (forall (@list @t38 @t63 @t1 @t24 @t60) (or (tptp.c_Relation_Osingle__valued @t67 @t1 @t60) (not (tptp.c_Relation_Osingle__valued @t63 @t24 @t60)) @t581))) % 0.35/0.57 (assume @p462 (forall @t580 (= (tptp.c_Relation_Oconverse @t579 @t24 @t1) @t38))) % 0.35/0.57 (assume @p463 (forall @t569 (tptp.c_Relation_Otrans @t315 @t1))) % 0.35/0.57 (assume @p464 (forall @t205 (or @t578 @t351))) % 0.35/0.57 (assume @p465 (forall @t401 (= (tptp.c_Relation_Orel__comp @t124 @t124 @t1 @t1 @t1) @t124))) % 0.35/0.57 (assume @p466 (forall @t191 (or @t341 (not @t582)))) % 0.35/0.57 (assume @p467 (forall @t191 (or @t582 @t410))) % 0.35/0.57 (assume @p468 (forall @t255 (or @t70 @t351))) % 0.35/0.57 (assume @p469 (forall @t191 (= @t557 (tptp.c_Relation_Oconverse @t144 @t1 @t1)))) % 0.35/0.57 (assume @p470 (forall @t205 (or @t139 @t351))) % 0.35/0.57 (assume @p471 (forall @t407 (or (tptp.c_in (tptp.hAPP @t523 @t3) tptp.c_Arrow__Order__Mirabelle_OLin @t404) @t406 @t199))) % 0.35/0.57 (assume @p472 (forall (@list @t584 @t26 @t118 @t24 @t60 @t18 @t1 @t583) (or (tptp.c_Equiv__Relations_Ocongruent @t584 @t211 @t24 @t60) @t209 @t585 (not (tptp.c_Equiv__Relations_Oequiv @t18 @t583 @t1))))) % 0.35/0.57 (assume @p473 (forall @t587 (or (tptp.c_in @t586 tptp.c_Arrow__Order__Mirabelle_OLin @t404) @t406))) % 0.35/0.57 (assume @p474 (forall @t587 (or (tptp.c_in @t588 tptp.c_Arrow__Order__Mirabelle_OLin @t404) @t406))) % 0.35/0.57 (assume @p475 (forall @t590 (or (tptp.c_in @t589 tptp.c_Arrow__Order__Mirabelle_OLin @t404) @t304))) % 0.35/0.57 (assume @p476 (forall @t592 (= @t591 @t282))) % 0.35/0.57 (assume @p477 (forall @t191 (= @t204 @t462))) % 0.35/0.57 (assume @p478 (forall @t191 (= @t204 @t575))) % 0.35/0.57 (assume @p479 (forall @t592 (= @t282 @t591))) % 0.35/0.57 (assume @p480 (forall @t255 (or @t254 (not @t593)))) % 0.35/0.57 (assume @p481 (forall @t255 (or @t593 @t412))) % 0.35/0.57 (assume @p482 (forall @t205 (or @t326 @t351))) % 0.35/0.57 (assume @p483 (forall @t401 (= (tptp.c_Transitive__Closure_Ortrancl @t435 @t1) @t124))) % 0.35/0.57 (assume @p484 (forall @t191 (= (tptp.c_Transitive__Closure_Ortrancl @t144 @t1) @t144))) % 0.35/0.57 (assume @p485 (forall @t506 (or @t522 @t496 @t531 @t516 @t199 @t406 @t304))) % 0.35/0.57 (assume @p486 (forall (@list @t2 @t293 @t24 @t60 @t1 @t118 @t111) (or (tptp.c_in @t2 (tptp.hAPP (tptp.c_split @t293 @t24 @t60 @t14) @t566) @t1) (not (tptp.c_in @t2 (tptp.hAPP (tptp.hAPP @t293 @t118) @t111) @t1))))) % 0.35/0.57 (assume @p487 (forall (@list @t26 @t595 @t598 @t594 @t597 @t24 @t584 @t1 @t583 @t60) (or (= (tptp.hAPP (tptp.hAPP @t26 @t595) @t598) (tptp.hAPP (tptp.hAPP @t26 @t594) @t597)) (not (tptp.c_in (tptp.c_Pair @t598 @t597 @t24 @t24) @t584 @t596)) (not (tptp.c_in (tptp.c_Pair @t595 @t594 @t1 @t1) @t583 @t72)) @t585))) % 0.35/0.57 (assume @p488 (forall (@list @t3 @t2 @t5 @t1 @t24 @t38) (or @t600 (not (tptp.c_in (tptp.c_Pair @t5 @t2 @t1 @t24) @t38 @t35)) (not (tptp.c_in @t599 @t38 @t35)) @t581))) % 0.35/0.57 (assume @p489 (forall (@list @t26 @t46 @t118 @t1 @t24 @t5) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t26 @t46 @t118 @t1 @t24) @t5) @t94) (not (tptp.c_in @t601 @t46 @t72))))) % 0.35/0.57 (assume @p490 (forall (@list @t26 @t38 @t118 @t1 @t24 @t5) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t26 @t38 @t118 @t1 @t24) @t5) @t94) @t602))) % 0.35/0.57 (assume @p491 (forall (@list @t46 @t5 @t3 @t1 @t24) (or @t604 (not @t603)))) % 0.35/0.57 (assume @p492 (forall (@list @t5 @t3 @t1 @t24 @t46) (or @t603 (not @t604)))) % 0.35/0.57 (assume @p493 (forall @t561 (or @t433 @t605 @t513 @t402))) % 0.35/0.57 (assume @p494 (forall @t554 (or (tptp.c_in @t552 @t38 @t72) @t555 @t549 @t402))) % 0.35/0.57 (assume @p495 (forall @t138 (or @t608 (not @t607)))) % 0.35/0.57 (assume @p496 (forall @t610 (or (tptp.c_in @t606 @t579 @t56) @t609))) % 0.35/0.57 (assume @p497 (forall @t610 (or @t607 (not @t608)))) % 0.35/0.57 (assume @p498 (forall @t429 (or @t428 @t470))) % 0.35/0.57 (assume @p499 (forall @t554 (or @t553 @t555 @t445))) % 0.35/0.57 (assume @p500 (forall @t554 (or @t553 @t611 @t549))) % 0.35/0.57 (assume @p501 (forall @t554 (or @t612 @t555 @t314))) % 0.35/0.57 (assume @p502 (forall @t554 (or @t612 @t551 @t549))) % 0.35/0.57 (assume @p503 (forall @t560 (or @t444 @t549))) % 0.35/0.57 (assume @p504 (forall @t554 (or @t612 @t551 @t314))) % 0.35/0.57 (assume @p505 (forall @t614 (tptp.c_in @t613 @t144 @t72))) % 0.35/0.57 (assume @p506 (forall (@list @t5 @t1 @t46) @t539)) % 0.35/0.57 (assume @p507 (forall (@list @t5 @t118 @t1 @t38) (or @t602 (not (tptp.c_in (tptp.c_Pair @t118 @t5 @t1 @t1) @t38 @t72)) @t116))) % 0.35/0.57 (assume @p508 (forall @t362 (or @t199 @t616 @t513 @t410))) % 0.35/0.57 (assume @p509 (forall @t560 (or @t304 (not @t617) @t549 @t410))) % 0.35/0.57 (assume @p510 (forall (@list @t26 @t3 @t2 @t1 @t38 @t24) (or (= @t618 (tptp.hAPP @t26 @t2)) @t605 (not (tptp.c_Equiv__Relations_Ocongruent @t38 @t26 @t1 @t24))))) % 0.35/0.57 (assume @p511 (forall (@list @t5 @t3 @t1 @t18) (or @t199 @t619))) % 0.35/0.57 (assume @p512 (forall (@list @t26 @t38 @t5 @t1 @t24 @t285 @t3) (or (not @t286) (= @t618 (tptp.hAPP @t285 @t3)) @t616))) % 0.35/0.57 (assume @p513 (forall (@list @t118 @t111 @t1) (or @t304 (not (tptp.c_in @t312 @t315 @t72))))) % 0.35/0.57 (assume @p514 (forall @t429 (or @t427 (not @t469)))) % 0.35/0.57 (assume @p515 (forall @t614 (or (not @t620) @t116))) % 0.35/0.57 (assume @p516 (forall (@list @t5 @t3 @t1 @t38 @t26 @t24) (or @t622 (not @t621)))) % 0.35/0.57 (assume @p517 (forall (@list @t26 @t5 @t3 @t24 @t38 @t1) (or @t621 (not @t622)))) % 0.35/0.57 (assume @p518 (forall @t360 (or @t615 @t513 @t140))) % 0.35/0.57 (assume @p519 (forall (@list @t111 @t118 @t1 @t38) (or @t617 @t549 @t140))) % 0.35/0.57 (assume @p520 (forall (@list @t118 @t293 @t1 @t60 @t38 @t63 @t24 @t111) (or (tptp.c_in (tptp.c_Pair @t118 @t293 @t1 @t60) @t67 @t65) (not (tptp.c_in (tptp.c_Pair @t111 @t293 @t24 @t60) @t63 @t61)) @t609))) % 0.35/0.57 (assume @p521 (forall (@list @t118 @t293 @t1 @t46 @t111) (or (tptp.c_in @t552 @t435 @t72) (not (tptp.c_in @t550 @t46 @t72)) (not (tptp.c_in @t312 @t46 @t72))))) % 0.35/0.57 (assume @p522 (forall @t554 (or @t553 @t611 @t445))) % 0.35/0.57 (assume @p523 (forall @t333 (tptp.c_in @t426 @t315 @t72))) % 0.35/0.57 (assume @p524 (forall (@list @t118 @t1) (tptp.c_in @t613 @t315 @t72))) % 0.35/0.57 (assume @p525 (forall @t457 (or @t624 @t246 @t623))) % 0.35/0.57 (assume @p526 (forall (@list @t5 @t18 @t1 @t26 @t16 @t24) (or @t246 @t624 @t623))) % 0.35/0.57 (assume @p527 (forall @t627 (or @t626 @t496 @t199 @t625))) % 0.35/0.57 (assume @p528 (forall @t627 (or @t626 @t496 @t600 @t625))) % 0.35/0.57 (assume @p529 (forall @t628 (not (tptp.c_in @t484 @t588 @t403)))) % 0.35/0.57 (assume @p530 (forall @t546 (not (tptp.c_in @t494 @t588 @t403)))) % 0.35/0.57 (assume @p531 (forall @t627 (or @t495 @t600 (not @t626)))) % 0.35/0.57 (assume @p532 (forall @t546 (or @t199 @t134 (tptp.c_in @t494 @t586 @t403)))) % 0.35/0.57 (assume @p533 (forall @t628 (not (tptp.c_in @t484 @t586 @t403)))) % 0.35/0.57 (assume @p534 (forall @t509 (not (tptp.c_in @t487 @t586 @t403)))) % 0.35/0.57 (assume @p535 (forall @t627 (or @t629 @t496 @t199 @t600))) % 0.35/0.57 (assume @p536 (forall @t627 (or @t629 @t496 @t625 @t600))) % 0.35/0.57 (assume @p537 (forall @t509 (or @t490 @t490 (tptp.c_in @t487 @t588 @t403)))) % 0.35/0.57 (assume @p538 (forall @t627 (or @t495 @t625 (not @t629)))) % 0.35/0.57 (assume @p539 (forall @t590 (or (tptp.c_in @t544 @t589 @t403) @t304))) % 0.35/0.57 (assume @p540 (forall @t642 (or @t641 @t639 @t637 @t635 @t632 @t631 @t630))) % 0.35/0.57 (assume @p541 (forall @t644 (or @t638 @t643 @t637 @t635 @t632 @t631 @t630))) % 0.35/0.57 (assume @p542 (forall @t642 (or @t641 @t639 @t636 @t634 @t632 @t631 @t630))) % 0.35/0.57 (assume @p543 (forall @t644 (or @t638 @t643 @t636 @t634 @t632 @t631 @t630))) % 0.35/0.57 (assume @p544 (forall (@list @t118 @t111 @t353 @t5) (or @t641 (not (tptp.c_in @t544 (tptp.hAPP @t5 (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 @t118 @t111 @t5)) @t403)) @t631 (not @t471)))) % 0.35/0.57 (assume @p545 (forall @t662 (or @t661 @t660 @t658 @t655 @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p546 (forall @t664 (or @t659 @t663 @t658 @t655 @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p547 (forall @t662 (or @t661 @t660 @t657 @t654 @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p548 (forall @t664 (or @t659 @t663 @t657 @t654 @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p549 (forall @t664 (or @t659 @t663 (not @t667) (not @t666) @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p550 (forall @t664 (or @t659 @t663 @t667 @t666 @t652 @t650 @t649 @t648 @t647 @t304))) % 0.35/0.57 (assume @p551 (forall (@list @t353 @t5 @t352) (or (= @t640 (tptp.hAPP @t5 @t352)) @t631 (not @t354)))) % 0.35/0.57 (assume @p552 (forall (@list @t118 @t111 @t1 @t24 @t18 @t16) (or @t669 (not @t668) @t209))) % 0.35/0.57 (assume @p553 (forall (@list @t118 @t38 @t1 @t111) (or @t383 @t549 (not @t542)))) % 0.35/0.57 (assume @p554 (forall (@list @t3 @t38 @t1 @t118) (or (tptp.c_in @t3 @t382 @t1) (not (tptp.c_in (tptp.c_Pair @t3 @t118 @t1 @t1) @t38 @t72)) @t384))) % 0.35/0.57 (assume @p555 (forall (@list @t111 @t38 @t18 @t1 @t24 @t118) (or (tptp.c_in @t111 @t350 @t24) @t609 @t209))) % 0.35/0.57 (assume @p556 (forall (@list @t111 @t38 @t18 @t24 @t1 @t5) (or @t374 (not (tptp.c_in (tptp.c_Pair @t5 @t111 @t24 @t1) @t38 @t56)) @t93))) % 0.35/0.57 (assume @p557 (forall (@list @t5 @t18 @t1 @t3) (or @t245 @t619))) % 0.35/0.57 (assume @p558 (forall (@list @t5 @t1 @t18) (or (tptp.c_in @t426 @t77 @t72) @t246))) % 0.35/0.57 (assume @p559 (forall @t671 (or @t670 @t513 @t351))) % 0.35/0.57 (assume @p560 (forall @t672 (or @t245 @t513 @t351))) % 0.35/0.57 (assume @p561 (forall (@list @t118 @t38 @t24 @t1 @t5) (or @t482 (not (tptp.c_in (tptp.c_Pair @t5 @t118 @t24 @t1) @t38 @t56))))) % 0.35/0.57 (assume @p562 (forall (@list @t111 @t38 @t1 @t24 @t118) (or (tptp.c_in @t111 (tptp.c_Relation_ORange @t38 @t1 @t24) @t24) @t609))) % 0.35/0.57 (assume @p563 (forall (@list @t118 @t38 @t1 @t24 @t5) (or @t475 (not (tptp.c_in (tptp.c_Pair @t118 @t5 @t1 @t24) @t38 @t35))))) % 0.35/0.57 (assume @p564 (forall (@list @t118 @t38 @t1 @t24 @t111) (or @t475 @t609))) % 0.35/0.57 (assume @p565 (forall (@list @t111 @t16 @t118 @t24 @t1 @t18) (or @t668 @t673))) % 0.35/0.57 (assume @p566 (forall (@list @t118 @t18 @t1 @t111 @t24 @t16) (or @t208 @t673))) % 0.35/0.57 (assume @p567 (forall (@list @t34 @t5 @t1 @t38 @t18) (or (tptp.c_in (tptp.c_Pair @t34 @t5 @t1 @t1) @t38 @t72) (tptp.c_in (tptp.c_Pair @t5 @t34 @t1 @t1) @t38 @t72) @t526 (not (tptp.c_in @t34 @t18 @t1)) @t246 @t412))) % 0.35/0.57 (assume @p568 (forall (@list @t5 @t1 @t38 @t18) (or @t427 @t246 @t71))) % 0.35/0.57 (assume @p569 (forall @t671 (or @t670 @t513 @t71))) % 0.35/0.57 (assume @p570 (forall @t672 (or @t245 @t513 @t71))) % 0.35/0.57 (assume @p571 (forall (@list @t118 @t1 @t38 @t18) (or @t620 @t209 @t71))) % 0.35/0.57 (assume @p572 (forall @t679 (or @t678 (not @t675)))) % 0.35/0.57 (assume @p573 (forall @t679 (or @t675 (not @t678)))) % 0.35/0.57 (assume @p574 (or @t685 @t684)) % 0.35/0.57 (assume @p575 (or @t683 (not @t685))) % 0.35/0.57 (assume @p576 (or @t683 (not @t688))) % 0.35/0.57 (assume @p577 (or @t688 @t684)) % 0.35/0.57 (assume @p578 (forall @t690 (or @t689 (= @t111 @t645)))) % 0.35/0.57 (assume @p579 (forall @t690 (or @t689 (= @t118 @t646)))) % 0.35/0.57 (assume @p580 (forall (@list @t5 @t55 @t1) (or @t692 (not @t691)))) % 0.35/0.57 (assume @p581 (forall (@list @t55 @t5 @t1) (or @t691 (not @t692)))) % 0.35/0.57 (assume @p582 (forall (@list @t42 @t43 @t24 @t1 @t60 @t46) (= (tptp.hAPP (tptp.c_COMBB @t42 @t43 @t24 @t1 @t60) @t46) (tptp.hAPP @t42 (tptp.hAPP @t43 @t46))))) % 0.35/0.57 (assume @p583 (forall (@list @t42 @t43 @t24 @t60 @t1 @t46) (= (tptp.hAPP (tptp.c_COMBC @t42 @t43 @t24 @t60 @t1) @t46) (tptp.hAPP (tptp.hAPP @t42 @t46) @t43)))) % 0.35/0.57 (assume @p584 (tptp.c_in @t686 tptp.c_Arrow__Order__Mirabelle_OProf @t465)) % 0.35/0.57 (assume @p585 (tptp.c_in (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow @t686 @t404 @t681 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t680) tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t404) tptp.c_Arrow__Order__Mirabelle_OProf @t465)) % 0.35/0.57 (assume @p586 (not (= tptp.v_a____ tptp.v_b____))) % 0.35/0.57 (assume @p587 (not (= tptp.v_a____ tptp.v_c____))) % 0.35/0.57 (assume @p588 (not @t693)) % 0.35/0.57 (assume @p589 @t693) % 0.35/0.57 (assume @p590 (forall @t679 (or @t696 (not @t695)))) % 0.35/0.57 (assume @p591 (forall @t679 (or @t695 (not @t696)))) % 0.35/0.57 (assume @p592 (forall @t701 (or (tptp.class_Lattices_Oupper__semilattice @t700) @t698))) % 0.35/0.57 (assume @p593 (forall @t701 (or (tptp.class_Lattices_Olower__semilattice @t700) @t698))) % 0.35/0.57 (assume @p594 (forall @t701 (or (tptp.class_Lattices_Odistrib__lattice @t700) (not (tptp.class_Lattices_Odistrib__lattice @t697))))) % 0.35/0.57 (assume @p595 (forall @t701 (or (tptp.class_Orderings_Opreorder @t700) (not (tptp.class_Orderings_Opreorder @t697))))) % 0.35/0.57 (assume @p596 (forall @t701 (or (tptp.class_Lattices_Olattice @t700) @t698))) % 0.35/0.57 (assume @p597 (forall @t701 (or (tptp.class_Orderings_Oorder @t700) (not (tptp.class_Orderings_Oorder @t697))))) % 0.35/0.57 (assume @p598 (forall @t701 (or (tptp.class_HOL_Oord @t700) (not (tptp.class_HOL_Oord @t697))))) % 0.35/0.57 (assume @p599 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.35/0.57 (assume @p600 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.35/0.57 (assume @p601 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.35/0.57 (assume @p602 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.35/0.57 (assume @p603 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.35/0.57 (assume @p604 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.35/0.57 (assume @p605 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.35/0.57 (assume @p606 (forall @t333 (tptp.c_fequal @t5 @t5 @t1))) % 0.35/0.57 (assume @p607 (forall (@list @t511 @t512 @t1) (or @t514 (not (tptp.c_fequal @t511 @t512 @t1))))) % 0.35/0.57 (step @p608 false :rule chain_m_resolution :premises (@p589 @p588) :args (false (@list true) (@list @t693))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------