%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT100-1 : 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 : n016.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 08:46:18 AM UTC 2026 % Result : Unsatisfiable 0.48s 0.84s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT100-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:25:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.84 % SZS status Unsatisfiable % 0.48/0.84 % SZS output start Proof % 0.48/0.86 ( % 0.48/0.86 (declare-sort $$unsorted 0) % 0.48/0.86 (declare-const tptp.v_d____ $$unsorted) % 0.48/0.86 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.tc_nat $$unsorted) % 0.48/0.86 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_P____ $$unsorted) % 0.48/0.86 (declare-const tptp.v_e____ $$unsorted) % 0.48/0.86 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.48/0.86 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot $$unsorted) % 0.48/0.86 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove $$unsorted) % 0.48/0.86 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_F $$unsorted) % 0.48/0.86 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_HOL_OIf (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_r $$unsorted) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_n____ $$unsorted) % 0.48/0.86 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_fst (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_snd (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.tc_bool $$unsorted) % 0.48/0.86 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.v_c____ $$unsorted) % 0.48/0.86 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.t_b $$unsorted) % 0.48/0.86 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop $$unsorted) % 0.48/0.86 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.v_h____ $$unsorted) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.t_a $$unsorted) % 0.48/0.86 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.48/0.86 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.86 (define @t1 () (@var "T_a" $$unsorted)) % 0.48/0.86 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.48/0.86 (define @t3 () (@var "V_B" $$unsorted)) % 0.48/0.86 (define @t4 () (@var "V_A" $$unsorted)) % 0.48/0.86 (define @t5 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.48/0.86 (define @t6 () (@var "V_a" $$unsorted)) % 0.48/0.86 (define @t7 () (tptp.c_Set_Oinsert @t6 @t5 @t1)) % 0.48/0.86 (define @t8 () (tptp.c_Set_Oinsert @t6 @t3 @t1)) % 0.48/0.86 (define @t9 () (tptp.c_Set_Oinsert @t6 @t4 @t1)) % 0.48/0.86 (define @t10 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.48/0.86 (define @t11 () (@list @t6 @t4 @t1)) % 0.48/0.86 (define @t12 () (tptp.c_Set_Oinsert @t6 @t10 @t1)) % 0.48/0.86 (define @t13 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t12 @t2)) % 0.48/0.86 (define @t14 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t8 @t2)) % 0.48/0.86 (define @t15 () (@list @t4 @t6 @t3 @t1)) % 0.48/0.86 (define @t16 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t2)) % 0.48/0.86 (define @t17 () (@var "V_x" $$unsorted)) % 0.48/0.86 (define @t18 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.48/0.86 (define @t19 () (@list @t1 @t17)) % 0.48/0.86 (define @t20 () (tptp.tc_prod @t1 @t1)) % 0.48/0.86 (define @t21 () (tptp.tc_fun @t20 tptp.tc_bool)) % 0.48/0.86 (define @t22 () (tptp.c_Orderings_Obot__class_Obot @t21)) % 0.48/0.86 (define @t23 () (@list @t1 @t3)) % 0.48/0.86 (define @t24 () (@list @t1 @t4)) % 0.48/0.86 (define @t25 () (@var "T_b" $$unsorted)) % 0.48/0.86 (define @t26 () (tptp.tc_prod @t1 @t25)) % 0.48/0.86 (define @t27 () (tptp.tc_fun @t26 tptp.tc_bool)) % 0.48/0.86 (define @t28 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 0.48/0.86 (define @t29 () (@var "T_c" $$unsorted)) % 0.48/0.86 (define @t30 () (tptp.tc_prod @t29 @t25)) % 0.48/0.86 (define @t31 () (tptp.tc_fun @t30 tptp.tc_bool)) % 0.48/0.86 (define @t32 () (@var "V_R" $$unsorted)) % 0.48/0.86 (define @t33 () (tptp.tc_prod @t1 @t29)) % 0.48/0.86 (define @t34 () (tptp.tc_fun @t33 tptp.tc_bool)) % 0.48/0.86 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.48/0.86 (define @t36 () (@var "V_C" $$unsorted)) % 0.48/0.86 (define @t37 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t36 @t2)) % 0.48/0.86 (define @t38 () (@list @t6 @t3 @t1 @t36)) % 0.48/0.86 (define @t39 () (tptp.tc_fun @t25 tptp.tc_bool)) % 0.48/0.86 (define @t40 () (tptp.c_Orderings_Obot__class_Obot @t39)) % 0.48/0.86 (define @t41 () (= @t4 @t40)) % 0.48/0.86 (define @t42 () (@var "V_f" $$unsorted)) % 0.48/0.86 (define @t43 () (tptp.c_Set_Oimage @t42 @t4 @t25 @t1)) % 0.48/0.86 (define @t44 () (@var "V_S" $$unsorted)) % 0.48/0.86 (define @t45 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t44 @t21)) % 0.48/0.86 (define @t46 () (tptp.c_Transitive__Closure_Ortrancl @t45 @t1)) % 0.48/0.86 (define @t47 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t1)) % 0.48/0.86 (define @t48 () (tptp.c_Transitive__Closure_Ortrancl @t32 @t1)) % 0.48/0.86 (define @t49 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t47 @t21)) % 0.48/0.86 (define @t50 () (@list @t32 @t1 @t44)) % 0.48/0.86 (define @t51 () (@var "V_t" $$unsorted)) % 0.48/0.86 (define @t52 () (@var "V_s" $$unsorted)) % 0.48/0.86 (define @t53 () (tptp.c_fst @t1 @t25)) % 0.48/0.86 (define @t54 () (tptp.hAPP @t53 @t51)) % 0.48/0.86 (define @t55 () (tptp.c_snd @t1 @t25)) % 0.48/0.86 (define @t56 () (tptp.hAPP @t55 @t51)) % 0.48/0.86 (define @t57 () (@var "V_q" $$unsorted)) % 0.48/0.86 (define @t58 () (@var "V_p" $$unsorted)) % 0.48/0.86 (define @t59 () (tptp.hAPP @t53 @t58)) % 0.48/0.86 (define @t60 () (tptp.hAPP @t55 @t58)) % 0.48/0.86 (define @t61 () (@var "V_r" $$unsorted)) % 0.48/0.86 (define @t62 () (tptp.c_Wellfounded_Owf @t61 @t1)) % 0.48/0.86 (define @t63 () (not @t62)) % 0.48/0.86 (define @t64 () (@var "V_P" $$unsorted)) % 0.48/0.86 (define @t65 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t64 @t61 @t1)) % 0.48/0.86 (define @t66 () (tptp.hBOOL (tptp.hAPP @t64 @t6))) % 0.48/0.86 (define @t67 () (@list @t64 @t6 @t61 @t1)) % 0.48/0.86 (define @t68 () (tptp.tc_prod @t25 @t1)) % 0.48/0.86 (define @t69 () (tptp.tc_fun @t68 tptp.tc_bool)) % 0.48/0.86 (define @t70 () (tptp.c_Relation_ORange @t3 @t25 @t1)) % 0.48/0.86 (define @t71 () (tptp.c_Relation_ORange @t4 @t25 @t1)) % 0.48/0.86 (define @t72 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.48/0.86 (define @t73 () (not @t72)) % 0.48/0.86 (define @t74 () (@var "V_b" $$unsorted)) % 0.48/0.86 (define @t75 () (tptp.c_Set_Oinsert @t74 @t3 @t1)) % 0.48/0.86 (define @t76 () (tptp.c_Set_Oinsert @t17 @t4 @t1)) % 0.48/0.86 (define @t77 () (tptp.c_lessequals @t76 @t3 @t2)) % 0.48/0.86 (define @t78 () (not @t77)) % 0.48/0.86 (define @t79 () (@list @t4 @t3 @t1 @t17)) % 0.48/0.86 (define @t80 () (tptp.c_in @t17 @t3 @t1)) % 0.48/0.86 (define @t81 () (not @t80)) % 0.48/0.86 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t76 @t3 @t2)) % 0.48/0.86 (define @t83 () (@list @t17 @t4 @t1 @t3)) % 0.48/0.86 (define @t84 () (not (tptp.c_in @t17 @t36 @t1))) % 0.48/0.86 (define @t85 () (tptp.c_lessequals @t4 @t3 @t39)) % 0.48/0.86 (define @t86 () (tptp.c_COMBK @t36 @t2 @t25)) % 0.48/0.86 (define @t87 () (tptp.c_Product__Type_OSigma @t3 @t86 @t25 @t1)) % 0.48/0.86 (define @t88 () (tptp.c_Product__Type_OSigma @t4 @t86 @t25 @t1)) % 0.48/0.86 (define @t89 () (tptp.c_lessequals @t88 @t87 @t69)) % 0.48/0.86 (define @t90 () (@list @t4 @t36 @t1 @t25 @t3 @t17)) % 0.48/0.86 (define @t91 () (tptp.c_Set_Oinsert @t17 @t10 @t1)) % 0.48/0.86 (define @t92 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t4 @t91 @t2) @t3 @t2)) % 0.48/0.86 (define @t93 () (not @t92)) % 0.48/0.86 (define @t94 () (tptp.c_in @t17 @t4 @t1)) % 0.48/0.86 (define @t95 () (not @t94)) % 0.48/0.86 (define @t96 () (tptp.c_Set_Oinsert @t17 @t3 @t1)) % 0.48/0.86 (define @t97 () (tptp.c_lessequals @t4 @t96 @t2)) % 0.48/0.86 (define @t98 () (@list @t4 @t17 @t3 @t1)) % 0.48/0.86 (define @t99 () (not @t97)) % 0.48/0.86 (define @t100 () (@var "V_c" $$unsorted)) % 0.48/0.86 (define @t101 () (not (tptp.c_lessequals @t61 @t52 @t21))) % 0.48/0.86 (define @t102 () (tptp.c_Transitive__Closure_Otrancl @t61 @t1)) % 0.48/0.86 (define @t103 () (@list @t61 @t1 @t52)) % 0.48/0.86 (define @t104 () (@var "V_J" $$unsorted)) % 0.48/0.86 (define @t105 () (tptp.c_Product__Type_OSigma @t104 @t36 @t1 @t25)) % 0.48/0.86 (define @t106 () (@var "V_I" $$unsorted)) % 0.48/0.86 (define @t107 () (tptp.c_Product__Type_OSigma @t106 @t36 @t1 @t25)) % 0.48/0.86 (define @t108 () (@list @t106 @t104 @t1 @t36 @t25)) % 0.48/0.86 (define @t109 () (not (= @t5 @t10))) % 0.48/0.86 (define @t110 () (@list @t4 @t3 @t1)) % 0.48/0.86 (define @t111 () (tptp.c_Relation_ODomain @t3 @t1 @t25)) % 0.48/0.86 (define @t112 () (tptp.c_Relation_ODomain @t4 @t1 @t25)) % 0.48/0.86 (define @t113 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t4 @t2)) % 0.48/0.86 (define @t114 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 0.48/0.86 (define @t115 () (@list @t3 @t36 @t1 @t4)) % 0.48/0.86 (define @t116 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t36 @t2)) % 0.48/0.86 (define @t117 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t37 @t2)) % 0.48/0.86 (define @t118 () (@list @t4 @t3 @t36 @t1)) % 0.48/0.86 (define @t119 () (@var "V_z" $$unsorted)) % 0.48/0.86 (define @t120 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t119 @t1)) % 0.48/0.86 (define @t121 () (@var "V_y" $$unsorted)) % 0.48/0.86 (define @t122 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t121 @t1)) % 0.48/0.86 (define @t123 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t120 @t1)) % 0.48/0.86 (define @t124 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t119 @t1)) % 0.48/0.86 (define @t125 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t124 @t1)) % 0.48/0.86 (define @t126 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.48/0.86 (define @t127 () (@list @t1 @t17 @t121 @t119)) % 0.48/0.86 (define @t128 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t17 @t1)) % 0.48/0.86 (define @t129 () (@list @t1 @t121 @t119 @t17)) % 0.48/0.86 (define @t130 () (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t4 @t2 @t1) @t1 @t1)) % 0.48/0.86 (define @t131 () (tptp.c_Relation_OId__on @t4 @t1)) % 0.48/0.86 (define @t132 () (@list @t4 @t1)) % 0.48/0.86 (define @t133 () (tptp.c_Relation_Orefl__on @t4 @t61 @t1)) % 0.48/0.86 (define @t134 () (not @t133)) % 0.48/0.86 (define @t135 () (tptp.c_lessequals @t61 @t130 @t21)) % 0.48/0.86 (define @t136 () (@list @t61 @t4 @t1)) % 0.48/0.86 (define @t137 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.48/0.86 (define @t138 () (@var "V_r_H" $$unsorted)) % 0.48/0.86 (define @t139 () (not (tptp.c_lessequals @t138 @t61 @t27))) % 0.48/0.86 (define @t140 () (tptp.tc_prod @t25 @t29)) % 0.48/0.86 (define @t141 () (tptp.tc_fun @t140 tptp.tc_bool)) % 0.48/0.86 (define @t142 () (@var "V_s_H" $$unsorted)) % 0.48/0.86 (define @t143 () (tptp.c_Relation_Orel__comp @t61 @t52 @t1 @t25 @t29)) % 0.48/0.86 (define @t144 () (tptp.c_Relation_OImage @t32 @t4 @t25 @t1)) % 0.48/0.86 (define @t145 () (tptp.c_Relation_OImage @t32 @t3 @t25 @t1)) % 0.48/0.86 (define @t146 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t39)) % 0.48/0.86 (define @t147 () (@list @t32 @t4 @t3 @t25 @t1)) % 0.48/0.86 (define @t148 () (tptp.c_Wellfounded_Owf @t32 @t1)) % 0.48/0.86 (define @t149 () (not @t148)) % 0.48/0.86 (define @t150 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t64 @t32 @t1)) % 0.48/0.86 (define @t151 () (@var "V_Rb" $$unsorted)) % 0.48/0.86 (define @t152 () (tptp.c_Set_Oinsert @t121 @t4 @t1)) % 0.48/0.86 (define @t153 () (@var "V_Q" $$unsorted)) % 0.48/0.86 (define @t154 () (@var "V_xa" $$unsorted)) % 0.48/0.86 (define @t155 () (tptp.c_COMBK @t3 @t39 @t1)) % 0.48/0.86 (define @t156 () (not (tptp.c_lessequals @t61 (tptp.c_Product__Type_OSigma @t4 @t155 @t1 @t25) @t27))) % 0.48/0.86 (define @t157 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t1)) % 0.48/0.86 (define @t158 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.48/0.86 (define @t159 () (@var "V_y_H" $$unsorted)) % 0.48/0.86 (define @t160 () (@var "V_x_H" $$unsorted)) % 0.48/0.86 (define @t161 () (tptp.c_HOL_Ominus__class_Ominus @t160 @t159 @t1)) % 0.48/0.86 (define @t162 () (tptp.c_Set_Oimage @t42 @t40 @t25 @t1)) % 0.48/0.86 (define @t163 () (tptp.c_Set_Oimage @t42 @t3 @t25 @t1)) % 0.48/0.86 (define @t164 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t36 @t2)) % 0.48/0.86 (define @t165 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t37 @t2)) % 0.48/0.86 (define @t166 () (@list @t4 @t3 @t1 @t36)) % 0.48/0.86 (define @t167 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t124 @t1)) % 0.48/0.86 (define @t168 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t121 @t1)) % 0.48/0.86 (define @t169 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t168 @t119 @t1) @t167)) % 0.48/0.86 (define @t170 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t119 @t1)) % 0.48/0.86 (define @t171 () (= @t167 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t170 @t1))) % 0.48/0.86 (define @t172 () (not (tptp.class_Lattices_Olattice @t1))) % 0.48/0.86 (define @t173 () (not (tptp.c_lessequals @t3 @t4 @t2))) % 0.48/0.86 (define @t174 () (tptp.c_lessequals @t17 @t121 @t1)) % 0.48/0.86 (define @t175 () (not @t174)) % 0.48/0.86 (define @t176 () (= @t122 @t17)) % 0.48/0.86 (define @t177 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.48/0.86 (define @t178 () (@list @t1 @t17 @t121)) % 0.48/0.86 (define @t179 () (tptp.c_lessequals @t121 @t17 @t1)) % 0.48/0.86 (define @t180 () (not @t179)) % 0.48/0.86 (define @t181 () (tptp.c_lessequals @t4 @t36 @t2)) % 0.48/0.86 (define @t182 () (not @t181)) % 0.48/0.86 (define @t183 () (tptp.c_lessequals @t3 @t36 @t2)) % 0.48/0.86 (define @t184 () (not @t183)) % 0.48/0.86 (define @t185 () (tptp.c_lessequals @t35 @t36 @t2)) % 0.48/0.86 (define @t186 () (@list @t3 @t4 @t1)) % 0.48/0.86 (define @t187 () (tptp.c_lessequals @t6 @t17 @t1)) % 0.48/0.86 (define @t188 () (not @t187)) % 0.48/0.86 (define @t189 () (tptp.c_lessequals @t74 @t17 @t1)) % 0.48/0.86 (define @t190 () (not @t189)) % 0.48/0.86 (define @t191 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t74 @t1)) % 0.48/0.86 (define @t192 () (tptp.c_lessequals @t191 @t17 @t1)) % 0.48/0.86 (define @t193 () (@list @t1 @t6 @t74 @t17)) % 0.48/0.86 (define @t194 () (tptp.c_lessequals @t17 @t168 @t1)) % 0.48/0.86 (define @t195 () (tptp.c_lessequals @t121 @t168 @t1)) % 0.48/0.86 (define @t196 () (@list @t1 @t121 @t17)) % 0.48/0.86 (define @t197 () (tptp.c_lessequals @t119 @t17 @t1)) % 0.48/0.86 (define @t198 () (tptp.c_lessequals @t17 @t119 @t1)) % 0.48/0.86 (define @t199 () (not @t198)) % 0.48/0.86 (define @t200 () (tptp.c_lessequals @t121 @t119 @t1)) % 0.48/0.86 (define @t201 () (not @t200)) % 0.48/0.86 (define @t202 () (tptp.c_lessequals @t168 @t119 @t1)) % 0.48/0.86 (define @t203 () (= @t122 @t128)) % 0.48/0.86 (define @t204 () (tptp.c_Wellfounded_Oacyclic @t61 @t1)) % 0.48/0.86 (define @t205 () (@list @t61 @t1)) % 0.48/0.86 (define @t206 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 @t2)) % 0.48/0.86 (define @t207 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t206 @t2)) % 0.48/0.86 (define @t208 () (not (tptp.c_Equiv__Relations_Oequiv @t4 @t61 @t1))) % 0.48/0.86 (define @t209 () (tptp.c_Pair @t6 @t74 @t1 @t1)) % 0.48/0.86 (define @t210 () (tptp.c_in @t209 @t61 @t20)) % 0.48/0.86 (define @t211 () (not @t210)) % 0.48/0.86 (define @t212 () (tptp.c_Set_Oinsert @t74 @t10 @t1)) % 0.48/0.86 (define @t213 () (tptp.c_Relation_OImage @t61 @t212 @t1 @t1)) % 0.48/0.86 (define @t214 () (tptp.c_Relation_OImage @t61 @t12 @t1 @t1)) % 0.48/0.86 (define @t215 () (@list @t61 @t6 @t1 @t74 @t4)) % 0.48/0.86 (define @t216 () (@list @t32 @t25 @t1)) % 0.48/0.86 (define @t217 () (@list @t17 @t4 @t1)) % 0.48/0.86 (define @t218 () (tptp.hBOOL (tptp.hAPP @t152 @t17))) % 0.48/0.86 (define @t219 () (= @t121 @t17)) % 0.48/0.86 (define @t220 () (tptp.hBOOL (tptp.hAPP @t4 @t17))) % 0.48/0.86 (define @t221 () (tptp.c_Relation_ODomain @t61 @t1 @t25)) % 0.48/0.86 (define @t222 () (tptp.c_Pair @t6 @t74 @t1 @t25)) % 0.48/0.86 (define @t223 () (@list @t6 @t74 @t1 @t25 @t61)) % 0.48/0.86 (define @t224 () (tptp.c_Relation_Osym @t61 @t1)) % 0.48/0.86 (define @t225 () (not @t224)) % 0.48/0.86 (define @t226 () (not (tptp.c_Relation_Osym @t52 @t1))) % 0.48/0.86 (define @t227 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t52 @t21)) % 0.48/0.86 (define @t228 () (@list @t61 @t52 @t1)) % 0.48/0.86 (define @t229 () (tptp.c_Transitive__Closure_Ortrancl @t52 @t1)) % 0.48/0.86 (define @t230 () (tptp.c_Transitive__Closure_Ortrancl @t61 @t1)) % 0.48/0.86 (define @t231 () (tptp.c_lessequals @t230 @t229 @t21)) % 0.48/0.86 (define @t232 () (@list @t4 @t3 @t1 @t25)) % 0.48/0.86 (define @t233 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.48/0.86 (define @t234 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t39)) % 0.48/0.86 (define @t235 () (@list @t42 @t4 @t3 @t25 @t1)) % 0.48/0.86 (define @t236 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t144 @t145 @t2)) % 0.48/0.86 (define @t237 () (tptp.c_Relation_OImage @t32 @t234 @t25 @t1)) % 0.48/0.86 (define @t238 () (tptp.c_lessequals @t36 @t4 @t2)) % 0.48/0.86 (define @t239 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t36 @t2) @t117)) % 0.48/0.86 (define @t240 () (not @t238)) % 0.48/0.86 (define @t241 () (tptp.tc_fun @t29 tptp.tc_bool)) % 0.48/0.86 (define @t242 () (tptp.c_Wellfounded_Owf @t45 @t1)) % 0.48/0.86 (define @t243 () (@list @t32 @t44 @t1)) % 0.48/0.86 (define @t244 () (tptp.hBOOL (tptp.hAPP @t35 @t17))) % 0.48/0.86 (define @t245 () (tptp.hBOOL (tptp.hAPP @t3 @t17))) % 0.48/0.86 (define @t246 () (@list @t3 @t17 @t4 @t1)) % 0.48/0.86 (define @t247 () (not @t245)) % 0.48/0.86 (define @t248 () (not @t220)) % 0.48/0.86 (define @t249 () (tptp.c_Relation_ODomain @t61 @t1 @t1)) % 0.48/0.86 (define @t250 () (tptp.c_COMBK @t36 @t39 @t1)) % 0.48/0.86 (define @t251 () (tptp.c_Product__Type_OSigma @t3 @t250 @t1 @t25)) % 0.48/0.86 (define @t252 () (tptp.c_Product__Type_OSigma @t4 @t250 @t1 @t25)) % 0.48/0.86 (define @t253 () (@list @t4 @t3 @t1 @t36 @t25)) % 0.48/0.86 (define @t254 () (not (tptp.c_Relation_Orefl__on @t3 @t52 @t1))) % 0.48/0.86 (define @t255 () (@list @t4 @t3 @t1 @t61 @t52)) % 0.48/0.86 (define @t256 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t119 @t1)) % 0.48/0.86 (define @t257 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t256 @t1)) % 0.48/0.86 (define @t258 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t119 @t1) @t257)) % 0.48/0.86 (define @t259 () (= @t257 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t120 @t1))) % 0.48/0.86 (define @t260 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t36 @t2)) % 0.48/0.86 (define @t261 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t260 @t2)) % 0.48/0.86 (define @t262 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t74 @t3 @t25) @t39 @t1)) % 0.48/0.86 (define @t263 () (= @t4 @t10)) % 0.48/0.86 (define @t264 () (@list @t36 @t4 @t3 @t1)) % 0.48/0.86 (define @t265 () (tptp.c_HOL_Ominus__class_Ominus @t116 @t260 @t2)) % 0.48/0.86 (define @t266 () (tptp.c_COMBK @t100 @t1 @t25)) % 0.48/0.86 (define @t267 () (@var "V_D" $$unsorted)) % 0.48/0.86 (define @t268 () (@list @t4 @t3 @t1 @t36 @t267)) % 0.48/0.86 (define @t269 () (@list @t17 @t3 @t1 @t4)) % 0.48/0.86 (define @t270 () (tptp.c_Relation_Otrans @t61 @t1)) % 0.48/0.86 (define @t271 () (not @t270)) % 0.48/0.86 (define @t272 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t52 @t21)) % 0.48/0.86 (define @t273 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t168 @t170 @t1)) % 0.48/0.86 (define @t274 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t256 @t1)) % 0.48/0.86 (define @t275 () (@list @t4 @t36 @t1 @t3)) % 0.48/0.86 (define @t276 () (not (= (tptp.c_Relation_Orel__comp @t4 @t36 @t1 @t1 @t1) @t22))) % 0.48/0.86 (define @t277 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t64 @t61 @t1)) % 0.48/0.86 (define @t278 () (@var "V_xb" $$unsorted)) % 0.48/0.86 (define @t279 () (tptp.c_Relation_Oconverse @t61 @t1 @t1)) % 0.48/0.86 (define @t280 () (tptp.c_Wellfounded_Oacyclic @t279 @t1)) % 0.48/0.86 (define @t281 () (not @t204)) % 0.48/0.86 (define @t282 () (= @t4 @t3)) % 0.48/0.86 (define @t283 () (= @t17 @t121)) % 0.48/0.86 (define @t284 () (not (tptp.class_Orderings_Oorder @t1))) % 0.48/0.86 (define @t285 () (= @t168 @t121)) % 0.48/0.86 (define @t286 () (= @t35 @t3)) % 0.48/0.86 (define @t287 () (@list @t1)) % 0.48/0.86 (define @t288 () (tptp.c_Orderings_Obot__class_Obot @t69)) % 0.48/0.86 (define @t289 () (= @t6 @t100)) % 0.48/0.86 (define @t290 () (@var "V_d" $$unsorted)) % 0.48/0.86 (define @t291 () (= @t6 @t290)) % 0.48/0.86 (define @t292 () (not (= (tptp.c_Set_Oinsert @t6 @t212 @t1) (tptp.c_Set_Oinsert @t100 (tptp.c_Set_Oinsert @t290 @t10 @t1) @t1)))) % 0.48/0.86 (define @t293 () (@list @t6 @t74 @t1 @t100 @t290)) % 0.48/0.86 (define @t294 () (= @t74 @t100)) % 0.48/0.86 (define @t295 () (= @t74 @t290)) % 0.48/0.86 (define @t296 () (not @t135)) % 0.48/0.86 (define @t297 () (@list @t61 @t1 @t4)) % 0.48/0.86 (define @t298 () (tptp.c_in @t6 @t36 @t1)) % 0.48/0.86 (define @t299 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t36 @t2)) % 0.48/0.86 (define @t300 () (tptp.c_in @t6 @t4 @t1)) % 0.48/0.86 (define @t301 () (not @t300)) % 0.48/0.86 (define @t302 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t8 @t2)) % 0.48/0.86 (define @t303 () (tptp.hAPP @t42 @t6)) % 0.48/0.86 (define @t304 () (not (tptp.c_lessequals @t3 @t267 @t2))) % 0.48/0.86 (define @t305 () (tptp.c_Relation_Oconverse @t52 @t25 @t1)) % 0.48/0.86 (define @t306 () (tptp.c_Relation_Oconverse @t61 @t25 @t1)) % 0.48/0.86 (define @t307 () (@list @t61 @t52 @t25 @t1)) % 0.48/0.86 (define @t308 () (tptp.c_lessequals @t122 @t17 @t1)) % 0.48/0.86 (define @t309 () (tptp.c_lessequals @t122 @t121 @t1)) % 0.48/0.86 (define @t310 () (tptp.c_lessequals @t17 @t256 @t1)) % 0.48/0.86 (define @t311 () (tptp.c_lessequals @t17 @t6 @t1)) % 0.48/0.86 (define @t312 () (not @t311)) % 0.48/0.86 (define @t313 () (tptp.c_lessequals @t17 @t74 @t1)) % 0.48/0.86 (define @t314 () (not @t313)) % 0.48/0.86 (define @t315 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t74 @t1)) % 0.48/0.86 (define @t316 () (tptp.c_lessequals @t17 @t315 @t1)) % 0.48/0.86 (define @t317 () (@list @t1 @t17 @t6 @t74)) % 0.48/0.86 (define @t318 () (tptp.c_lessequals @t36 @t3 @t2)) % 0.48/0.86 (define @t319 () (tptp.c_lessequals @t36 @t5 @t2)) % 0.48/0.86 (define @t320 () (tptp.c_Set_Oinsert @t6 @t13 @t1)) % 0.48/0.86 (define @t321 () (= @t6 @t74)) % 0.48/0.86 (define @t322 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t4 @t2)) % 0.48/0.86 (define @t323 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t4 @t61 @t1)) % 0.48/0.86 (define @t324 () (not @t323)) % 0.48/0.86 (define @t325 () (tptp.c_Relation_Ototal__on @t4 @t61 @t1)) % 0.48/0.86 (define @t326 () (@list @t4 @t61 @t1)) % 0.48/0.86 (define @t327 () (not (= @t35 @t10))) % 0.48/0.86 (define @t328 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1) @t18))) % 0.48/0.86 (define @t329 () (@list @t1 @t4 @t3)) % 0.48/0.86 (define @t330 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 0.48/0.86 (define @t331 () (@var "V_T" $$unsorted)) % 0.48/0.86 (define @t332 () (not @t319)) % 0.48/0.86 (define @t333 () (not @t316)) % 0.48/0.86 (define @t334 () (tptp.c_lessequals @t315 @t17 @t1)) % 0.48/0.86 (define @t335 () (not @t310)) % 0.48/0.86 (define @t336 () (@list @t1 @t17 @t119 @t121)) % 0.48/0.86 (define @t337 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t36 @t2)) % 0.48/0.86 (define @t338 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t36 @t2)) % 0.48/0.86 (define @t339 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t17 @t1)) % 0.48/0.86 (define @t340 () (= @t168 @t339)) % 0.48/0.86 (define @t341 () (@var "V_R2" $$unsorted)) % 0.48/0.86 (define @t342 () (@var "V_R1" $$unsorted)) % 0.48/0.86 (define @t343 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t168 @t1) @t168)) % 0.48/0.86 (define @t344 () (@list @t61 @t1 @t25)) % 0.48/0.86 (define @t345 () (@list @t4 @t3 @t25 @t1)) % 0.48/0.86 (define @t346 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t64 @t61 @t1)) % 0.48/0.86 (define @t347 () (tptp.hBOOL (tptp.hAPP @t5 @t17))) % 0.48/0.86 (define @t348 () (not @t347)) % 0.48/0.86 (define @t349 () (tptp.c_Relation_ORange @t61 @t25 @t1)) % 0.48/0.86 (define @t350 () (tptp.c_Pair @t6 @t74 @t25 @t1)) % 0.48/0.86 (define @t351 () (@list @t6 @t74 @t25 @t1 @t61)) % 0.48/0.86 (define @t352 () (tptp.c_lessequals @t4 @t37 @t2)) % 0.48/0.86 (define @t353 () (tptp.c_lessequals @t16 @t36 @t2)) % 0.48/0.86 (define @t354 () (@var "V_g" $$unsorted)) % 0.48/0.86 (define @t355 () (= (tptp.c_Recdef_Ocut @t42 @t61 @t17 @t1 @t25) (tptp.c_Recdef_Ocut @t354 @t61 @t17 @t1 @t25))) % 0.48/0.86 (define @t356 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t42 @t354 @t61 @t17 @t1 @t25)) % 0.48/0.86 (define @t357 () (tptp.c_Pair @t121 @t17 @t1 @t1)) % 0.48/0.86 (define @t358 () (tptp.c_Set_Oinsert @t357 @t61 @t20)) % 0.48/0.86 (define @t359 () (tptp.c_Wellfounded_Oacyclic @t358 @t1)) % 0.48/0.86 (define @t360 () (not @t359)) % 0.48/0.86 (define @t361 () (@list @t61 @t1 @t121 @t17)) % 0.48/0.86 (define @t362 () (tptp.hAPP @t42 @t17)) % 0.48/0.86 (define @t363 () (tptp.c_in @t100 @t4 @t1)) % 0.48/0.86 (define @t364 () (not @t363)) % 0.48/0.86 (define @t365 () (tptp.c_in @t100 @t3 @t1)) % 0.48/0.86 (define @t366 () (not @t365)) % 0.48/0.86 (define @t367 () (tptp.c_in @t100 @t5 @t1)) % 0.48/0.86 (define @t368 () (@list @t100 @t4 @t3 @t1)) % 0.48/0.86 (define @t369 () (tptp.c_in @t6 (tptp.c_Set_Oinsert @t74 @t4 @t1) @t1)) % 0.48/0.86 (define @t370 () (@list @t100 @t3 @t1 @t4)) % 0.48/0.86 (define @t371 () (tptp.c_in @t100 @t35 @t1)) % 0.48/0.86 (define @t372 () (not (tptp.c_in @t17 @t10 @t1))) % 0.48/0.86 (define @t373 () (@list @t17 @t1)) % 0.48/0.86 (define @t374 () (tptp.hBOOL (tptp.hAPP @t64 @t17))) % 0.48/0.86 (define @t375 () (@list @t64 @t17 @t1)) % 0.48/0.86 (define @t376 () (@list @t6 @t1)) % 0.48/0.86 (define @t377 () (tptp.c_in @t100 @t16 @t1)) % 0.48/0.86 (define @t378 () (not @t377)) % 0.48/0.86 (define @t379 () (@list @t100 @t4 @t1 @t3)) % 0.48/0.86 (define @t380 () (not @t367)) % 0.48/0.86 (define @t381 () (not @t374)) % 0.48/0.86 (define @t382 () (tptp.c_Pair @t17 @t121 @t1 @t25)) % 0.48/0.86 (define @t383 () (tptp.c_snd @t25 @t1)) % 0.48/0.86 (define @t384 () (tptp.c_Pair @t17 @t121 @t25 @t1)) % 0.48/0.86 (define @t385 () (tptp.hAPP @t383 @t384)) % 0.48/0.86 (define @t386 () (not (tptp.hBOOL (tptp.hAPP @t64 @t58)))) % 0.48/0.86 (define @t387 () (not (tptp.hBOOL (tptp.hAPP @t153 @t57)))) % 0.48/0.86 (define @t388 () (tptp.c_Pair @t58 @t57 @t1 @t25)) % 0.48/0.86 (define @t389 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t122 @t1) @t122)) % 0.48/0.86 (define @t390 () (not @t202)) % 0.48/0.86 (define @t391 () (tptp.c_lessequals @t17 @t191 @t1)) % 0.48/0.86 (define @t392 () (not @t192)) % 0.48/0.86 (define @t393 () (not @t185)) % 0.48/0.86 (define @t394 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.48/0.86 (define @t395 () (not (tptp.c_lessequals @t64 @t153 @t2))) % 0.48/0.86 (define @t396 () (tptp.hBOOL (tptp.hAPP @t153 @t17))) % 0.48/0.86 (define @t397 () (@list @t153 @t17 @t64 @t1)) % 0.48/0.86 (define @t398 () (tptp.c_lessequals @t17 @t17 @t1)) % 0.48/0.86 (define @t399 () (tptp.c_Relation_Oantisym @t61 @t1)) % 0.48/0.86 (define @t400 () (not (tptp.c_lessequals @t61 @t52 @t27))) % 0.48/0.86 (define @t401 () (tptp.c_Relation_Osingle__valued @t61 @t1 @t25)) % 0.48/0.86 (define @t402 () (@list @t61 @t1 @t25 @t52)) % 0.48/0.86 (define @t403 () (tptp.c_lessequals @t159 @t160 @t1)) % 0.48/0.86 (define @t404 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t121 @t1) @t161))) % 0.48/0.86 (define @t405 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.48/0.86 (define @t406 () (@list @t1 @t17 @t121 @t160 @t159)) % 0.48/0.86 (define @t407 () (tptp.c_Set_Oimage @t42 @t4 @t1 @t25)) % 0.48/0.86 (define @t408 () (@list @t17 @t4 @t25 @t42 @t1)) % 0.48/0.86 (define @t409 () (tptp.hAPP @t64 @t121)) % 0.48/0.86 (define @t410 () (@list @t61 @t25 @t1)) % 0.48/0.86 (define @t411 () (@var "V_A_H" $$unsorted)) % 0.48/0.86 (define @t412 () (tptp.c_Relation_OImage @t61 @t4 @t1 @t25)) % 0.48/0.86 (define @t413 () (tptp.c_Relation_Oirrefl @t61 @t1)) % 0.48/0.86 (define @t414 () (tptp.c_Pair @t17 @t121 @t1 @t1)) % 0.48/0.86 (define @t415 () (tptp.c_in @t414 @t230 @t20)) % 0.48/0.86 (define @t416 () (@list @t121 @t17 @t1 @t61)) % 0.48/0.86 (define @t417 () (not @t415)) % 0.48/0.86 (define @t418 () (@list @t17 @t121 @t1 @t61)) % 0.48/0.86 (define @t419 () (tptp.c_in @t209 @t230 @t20)) % 0.48/0.86 (define @t420 () (not @t419)) % 0.48/0.86 (define @t421 () (tptp.hBOOL (tptp.hAPP @t64 @t74))) % 0.48/0.86 (define @t422 () (not @t421)) % 0.48/0.86 (define @t423 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t64 @t74 @t61 @t1)) % 0.48/0.86 (define @t424 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t64 @t74 @t61 @t1)) % 0.48/0.86 (define @t425 () (@list @t64 @t6 @t74 @t61 @t1)) % 0.48/0.86 (define @t426 () (not @t66)) % 0.48/0.86 (define @t427 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t64 @t6 @t61 @t1)) % 0.48/0.86 (define @t428 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t64 @t6 @t61 @t1)) % 0.48/0.86 (define @t429 () (@list @t64 @t74 @t6 @t61 @t1)) % 0.48/0.86 (define @t430 () (tptp.c_Relation_OId @t1)) % 0.48/0.86 (define @t431 () (not (tptp.c_in @t74 @t4 @t1))) % 0.48/0.86 (define @t432 () (@list @t42 @t17 @t4 @t1 @t25)) % 0.48/0.86 (define @t433 () (not (tptp.c_in @t17 @t4 @t25))) % 0.48/0.86 (define @t434 () (tptp.c_in @t74 (tptp.c_Relation_OImage @t61 (tptp.c_Set_Oinsert @t6 @t40 @t25) @t25 @t1) @t1)) % 0.48/0.86 (define @t435 () (tptp.c_in @t350 @t61 @t68)) % 0.48/0.86 (define @t436 () (tptp.c_Wellfounded_Owf @t358 @t1)) % 0.48/0.86 (define @t437 () (not @t436)) % 0.48/0.86 (define @t438 () (tptp.c_in @t17 @t46 @t20)) % 0.48/0.86 (define @t439 () (@list @t17 @t32 @t44 @t1)) % 0.48/0.86 (define @t440 () (tptp.c_in @t58 @t102 @t20)) % 0.48/0.86 (define @t441 () (= @t214 @t213)) % 0.48/0.86 (define @t442 () (tptp.c_in @t414 @t61 @t20)) % 0.48/0.86 (define @t443 () (not @t442)) % 0.48/0.86 (define @t444 () (= (tptp.c_Relation_OImage @t61 @t91 @t1 @t1) (tptp.c_Relation_OImage @t61 (tptp.c_Set_Oinsert @t121 @t10 @t1) @t1 @t1))) % 0.48/0.86 (define @t445 () (@list @t61 @t17 @t1 @t121 @t4)) % 0.48/0.86 (define @t446 () (tptp.c_Relation_Orel__comp @t32 @t32 @t1 @t1 @t1)) % 0.48/0.86 (define @t447 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t446 (tptp.c_Relation_Orel__comp @t44 @t32 @t1 @t1 @t1) @t21) @t44 @t21) @t1)) % 0.48/0.86 (define @t448 () (@list @t32 @t1)) % 0.48/0.86 (define @t449 () (tptp.c_HOL_Ominus__class_Ominus @t61 @t430 @t21)) % 0.48/0.86 (define @t450 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t430 @t21)) % 0.48/0.86 (define @t451 () (tptp.c_Relation_Oantisym @t450 @t1)) % 0.48/0.86 (define @t452 () (not @t399)) % 0.48/0.86 (define @t453 () (tptp.c_Relation_Ototal__on @t4 @t449 @t1)) % 0.48/0.86 (define @t454 () (not @t325)) % 0.48/0.86 (define @t455 () (tptp.c_Relation_Orel__comp @t279 @t61 @t1 @t1 @t1)) % 0.48/0.86 (define @t456 () (tptp.c_Transitive__Closure_Otrancl @t32 @t1)) % 0.48/0.86 (define @t457 () (tptp.c_in @t414 @t456 @t20)) % 0.48/0.86 (define @t458 () (not @t457)) % 0.48/0.86 (define @t459 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t32 @t17 @t121 @t1)) % 0.48/0.86 (define @t460 () (@list @t17 @t32 @t121 @t1)) % 0.48/0.86 (define @t461 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t32 @t17 @t121 @t1)) % 0.48/0.86 (define @t462 () (@list @t32 @t17 @t121 @t1)) % 0.48/0.86 (define @t463 () (not @t413)) % 0.48/0.86 (define @t464 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t61 @t1)) % 0.48/0.86 (define @t465 () (tptp.c_Nitpick_Orefl_H @t61 @t1)) % 0.48/0.86 (define @t466 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t61 @t1)) % 0.48/0.86 (define @t467 () (tptp.c_Relation_Orel__comp @t230 @t61 @t1 @t1 @t1)) % 0.48/0.86 (define @t468 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t102 @t430 @t21)) % 0.48/0.86 (define @t469 () (not (tptp.c_in @t100 @t131 @t20))) % 0.48/0.86 (define @t470 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t4 @t100 @t1)) % 0.48/0.86 (define @t471 () (tptp.c_Wellfounded_Oacc @t61 @t1)) % 0.48/0.86 (define @t472 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t58 @t1)) % 0.48/0.86 (define @t473 () (not (tptp.c_in (tptp.c_Pair @t6 @t100 @t1 @t25) (tptp.c_Relation_Orel__comp @t61 @t52 @t1 @t29 @t25) @t26))) % 0.48/0.86 (define @t474 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t6 @t100 @t61 @t52 @t1 @t25 @t29)) % 0.48/0.86 (define @t475 () (@list @t6 @t100 @t61 @t52 @t1 @t25 @t29)) % 0.48/0.86 (define @t476 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t61 @t1)) % 0.48/0.86 (define @t477 () (tptp.c_Pair @t17 @t17 @t1 @t1)) % 0.48/0.86 (define @t478 () (tptp.c_in @t477 @t61 @t20)) % 0.48/0.86 (define @t479 () (not @t478)) % 0.48/0.86 (define @t480 () (@list @t17 @t1 @t61)) % 0.48/0.86 (define @t481 () (tptp.c_Pair @t17 @t119 @t1 @t1)) % 0.48/0.86 (define @t482 () (tptp.c_in @t481 @t102 @t20)) % 0.48/0.86 (define @t483 () (not @t482)) % 0.48/0.86 (define @t484 () (tptp.c_in @t481 @t61 @t20)) % 0.48/0.86 (define @t485 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t61 @t17 @t119 @t1)) % 0.48/0.86 (define @t486 () (@list @t61 @t17 @t119 @t1)) % 0.48/0.86 (define @t487 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.48/0.86 (define @t488 () (tptp.c_Transitive__Closure_Otrancl @t61 tptp.t_a)) % 0.48/0.86 (define @t489 () (@var "V_a2" $$unsorted)) % 0.48/0.86 (define @t490 () (@var "V_a1" $$unsorted)) % 0.48/0.86 (define @t491 () (tptp.c_Pair @t490 @t489 tptp.t_a tptp.t_a)) % 0.48/0.86 (define @t492 () (not (tptp.c_in @t491 @t488 @t487))) % 0.48/0.86 (define @t493 () (tptp.c_in @t491 @t61 @t487)) % 0.48/0.86 (define @t494 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t490 @t489 @t61)) % 0.48/0.86 (define @t495 () (@list @t490 @t489 @t61)) % 0.48/0.86 (define @t496 () (not (tptp.c_in @t477 @t102 @t20))) % 0.48/0.86 (define @t497 () (tptp.c_in @t209 @t102 @t20)) % 0.48/0.86 (define @t498 () (not @t497)) % 0.48/0.86 (define @t499 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t6 @t74 @t61 @t1)) % 0.48/0.86 (define @t500 () (@list @t6 @t74 @t61 @t1)) % 0.48/0.86 (define @t501 () (@list @t17 @t61 @t119 @t1)) % 0.48/0.86 (define @t502 () (tptp.hBOOL @t409)) % 0.48/0.86 (define @t503 () (@list @t64 @t6 @t121 @t61 @t1)) % 0.48/0.86 (define @t504 () (@var "V_Ra" $$unsorted)) % 0.48/0.86 (define @t505 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t6 @t74 @t61 @t1)) % 0.48/0.86 (define @t506 () (not (tptp.c_in @t481 @t230 @t20))) % 0.48/0.86 (define @t507 () (= @t17 @t119)) % 0.48/0.86 (define @t508 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t61 @t17 @t119 @t1)) % 0.48/0.86 (define @t509 () (tptp.c_Transitive__Closure_Ortrancl @t61 tptp.t_a)) % 0.48/0.86 (define @t510 () (not (tptp.c_in @t491 @t509 @t487))) % 0.48/0.86 (define @t511 () (= @t489 @t490)) % 0.48/0.86 (define @t512 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t490 @t489 @t61)) % 0.48/0.86 (define @t513 () (tptp.c_Product__Type_OSigma @t4 @t3 @t1 @t25)) % 0.48/0.86 (define @t514 () (tptp.c_in @t121 @t4 @t1)) % 0.48/0.86 (define @t515 () (not @t514)) % 0.48/0.86 (define @t516 () (not @t444)) % 0.48/0.86 (define @t517 () (not (tptp.c_in @t58 @t61 @t20))) % 0.48/0.86 (define @t518 () (@list @t58 @t61 @t1)) % 0.48/0.86 (define @t519 () (tptp.c_Pair @t74 @t100 @t1 @t1)) % 0.48/0.86 (define @t520 () (not (tptp.c_in @t519 @t230 @t20))) % 0.48/0.86 (define @t521 () (tptp.c_Pair @t6 @t100 @t1 @t1)) % 0.48/0.86 (define @t522 () (tptp.c_in @t521 @t102 @t20)) % 0.48/0.86 (define @t523 () (@list @t6 @t100 @t1 @t61 @t74)) % 0.48/0.86 (define @t524 () (not (tptp.c_in @t519 @t61 @t20))) % 0.48/0.86 (define @t525 () (tptp.c_in @t414 @t48 @t20)) % 0.48/0.86 (define @t526 () (@list @t17 @t121 @t1 @t32)) % 0.48/0.86 (define @t527 () (not @t525)) % 0.48/0.86 (define @t528 () (tptp.c_in @t357 @t230 @t20)) % 0.48/0.86 (define @t529 () (tptp.c_Transitive__Closure_Ortrancl @t279 @t1)) % 0.48/0.86 (define @t530 () (tptp.c_in @t414 @t529 @t20)) % 0.48/0.86 (define @t531 () (tptp.c_Pair @t121 @t119 @t1 @t1)) % 0.48/0.86 (define @t532 () (@list @t6 @t74 @t1 @t61)) % 0.48/0.86 (define @t533 () (@list @t17 @t119 @t1 @t61 @t121)) % 0.48/0.86 (define @t534 () (tptp.c_Transitive__Closure_Otrancl @t279 @t1)) % 0.48/0.86 (define @t535 () (tptp.c_in @t414 @t534 @t20)) % 0.48/0.86 (define @t536 () (tptp.c_Relation_Oconverse @t102 @t1 @t1)) % 0.48/0.86 (define @t537 () (tptp.c_in @t414 @t536 @t20)) % 0.48/0.86 (define @t538 () (tptp.hAPP @t303 @t74)) % 0.48/0.86 (define @t539 () (tptp.c_Pair @t6 @t74 @t25 @t29)) % 0.48/0.86 (define @t540 () (tptp.c_split @t42 @t1 @t25 @t29)) % 0.48/0.86 (define @t541 () (tptp.c_in @t362 @t43 @t1)) % 0.48/0.86 (define @t542 () (@var "T_aa" $$unsorted)) % 0.48/0.86 (define @t543 () (tptp.c_in @t17 @t471 @t1)) % 0.48/0.86 (define @t544 () (@list @t17 @t61 @t1)) % 0.48/0.86 (define @t545 () (tptp.c_in @t74 (tptp.c_Relation_OImage @t61 @t4 @t25 @t1) @t1)) % 0.48/0.86 (define @t546 () (not @t545)) % 0.48/0.86 (define @t547 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t4 @t74 @t61 @t25 @t1)) % 0.48/0.86 (define @t548 () (@list @t4 @t74 @t61 @t25 @t1)) % 0.48/0.86 (define @t549 () (tptp.c_in @t6 @t471 @t1)) % 0.48/0.86 (define @t550 () (not @t549)) % 0.48/0.86 (define @t551 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t64 @t61 @t1)) % 0.48/0.86 (define @t552 () (tptp.c_Wellfounded_Oacc @t61 tptp.t_a)) % 0.48/0.86 (define @t553 () (not (tptp.c_in @t17 @t552 tptp.t_a))) % 0.48/0.86 (define @t554 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t64 @t61)) % 0.48/0.86 (define @t555 () (@list @t64 @t17 @t61)) % 0.48/0.86 (define @t556 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t64 @t61 @t1)) % 0.48/0.86 (define @t557 () (tptp.c_Relation_Osym @t279 @t1)) % 0.48/0.86 (define @t558 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t4 @t74 @t61 @t25 @t1)) % 0.48/0.86 (define @t559 () (tptp.c_Wellfounded_Oacc @t32 @t1)) % 0.48/0.86 (define @t560 () (tptp.c_in @t17 @t559 @t1)) % 0.48/0.86 (define @t561 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t32 @t17 @t1)) % 0.48/0.86 (define @t562 () (@list @t32 @t17 @t1)) % 0.48/0.86 (define @t563 () (tptp.c_Relation_Orefl__on @t4 @t279 @t1)) % 0.48/0.86 (define @t564 () (tptp.c_Wellfounded_Owf @t446 @t1)) % 0.48/0.86 (define @t565 () (= @t279 @t61)) % 0.48/0.86 (define @t566 () (tptp.c_Relation_Oinv__image @t61 @t42 @t1 @t25)) % 0.48/0.86 (define @t567 () (@list @t61 @t42 @t1 @t25)) % 0.48/0.86 (define @t568 () (tptp.c_Relation_Orel__comp @t61 @t230 @t1 @t1 @t1)) % 0.48/0.86 (define @t569 () (tptp.c_Relation_Otrans @t279 @t1)) % 0.48/0.86 (define @t570 () (@var "T_d" $$unsorted)) % 0.48/0.86 (define @t571 () (= @t455 @t61)) % 0.48/0.86 (define @t572 () (tptp.c_Relation_Oconverse @t61 @t1 @t25)) % 0.48/0.86 (define @t573 () (not (tptp.c_in @t154 @t153 @t1))) % 0.48/0.86 (define @t574 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t153 @t61 @t1)) % 0.48/0.86 (define @t575 () (not @t401)) % 0.48/0.86 (define @t576 () (tptp.c_Relation_Oantisym @t279 @t1)) % 0.48/0.86 (define @t577 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t64 @t61)) % 0.48/0.86 (define @t578 () (not (tptp.c_in @t17 @t153 @t1))) % 0.48/0.86 (define @t579 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t153 @t32 @t1)) % 0.48/0.86 (define @t580 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t61 @t17 @t1)) % 0.48/0.86 (define @t581 () (@var "V_r1" $$unsorted)) % 0.48/0.86 (define @t582 () (@var "V_r2" $$unsorted)) % 0.48/0.86 (define @t583 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t581 @t582 @t42 @t1 @t25 @t29))) % 0.48/0.86 (define @t584 () (tptp.c_Relation_ODomain @t306 @t1 @t25)) % 0.48/0.86 (define @t585 () (tptp.c_Relation_Ototal__on @t4 @t279 @t1)) % 0.48/0.86 (define @t586 () (@list @t64 @t17 @t121 @t61)) % 0.48/0.86 (define @t587 () (not (tptp.c_in @t121 @t153 @t1))) % 0.48/0.86 (define @t588 () (tptp.c_Pair @t74 @t6 @t1 @t1)) % 0.48/0.86 (define @t589 () (not (tptp.c_in @t588 @t230 @t20))) % 0.48/0.86 (define @t590 () (tptp.c_in @t74 @t471 @t1)) % 0.48/0.86 (define @t591 () (@list @t74 @t61 @t1 @t6)) % 0.48/0.86 (define @t592 () (@var "V_ya" $$unsorted)) % 0.48/0.86 (define @t593 () (tptp.c_in @t592 @t552 tptp.t_a)) % 0.48/0.86 (define @t594 () (@list @t64 @t17 @t592 @t61)) % 0.48/0.86 (define @t595 () (tptp.c_in @t477 @t48 @t20)) % 0.48/0.86 (define @t596 () (tptp.c_in @t17 (tptp.c_Relation_ODomain @t32 @t1 @t1) @t1)) % 0.48/0.86 (define @t597 () (tptp.c_in @t6 @t221 @t1)) % 0.48/0.86 (define @t598 () (not @t597)) % 0.48/0.86 (define @t599 () (@list @t6 @t61 @t1 @t25)) % 0.48/0.86 (define @t600 () (tptp.c_in @t6 @t349 @t1)) % 0.48/0.86 (define @t601 () (@var "V_z1" $$unsorted)) % 0.48/0.86 (define @t602 () (@var "V_y1" $$unsorted)) % 0.48/0.86 (define @t603 () (tptp.tc_prod @t25 @t25)) % 0.48/0.86 (define @t604 () (@var "V_z2" $$unsorted)) % 0.48/0.86 (define @t605 () (@var "V_y2" $$unsorted)) % 0.48/0.86 (define @t606 () (= @t121 @t119)) % 0.48/0.86 (define @t607 () (tptp.c_Pair @t17 @t6 @t1 @t1)) % 0.48/0.86 (define @t608 () (not (tptp.c_in @t607 @t61 @t20))) % 0.48/0.86 (define @t609 () (tptp.c_in @t382 @t32 @t26)) % 0.48/0.86 (define @t610 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t32 @t1 @t25) @t17) @t121))) % 0.48/0.86 (define @t611 () (not (tptp.c_in @t531 @t61 @t20))) % 0.48/0.86 (define @t612 () (tptp.c_Pair @t74 @t6 @t25 @t1)) % 0.48/0.86 (define @t613 () (tptp.c_in @t612 @t61 @t68)) % 0.48/0.86 (define @t614 () (tptp.c_in @t222 @t306 @t26)) % 0.48/0.86 (define @t615 () (not (tptp.c_in @t222 @t61 @t26))) % 0.48/0.86 (define @t616 () (@list @t74 @t6 @t25 @t1 @t61)) % 0.48/0.86 (define @t617 () (not (tptp.c_in @t519 @t102 @t20))) % 0.48/0.86 (define @t618 () (tptp.c_in @t521 @t230 @t20)) % 0.48/0.86 (define @t619 () (tptp.c_Pair @t6 @t6 @t1 @t1)) % 0.48/0.86 (define @t620 () (@list @t6 @t1 @t61)) % 0.48/0.86 (define @t621 () (tptp.c_in @t357 @t61 @t20)) % 0.48/0.86 (define @t622 () (not @t621)) % 0.48/0.86 (define @t623 () (tptp.c_in @t588 @t61 @t20)) % 0.48/0.86 (define @t624 () (tptp.hAPP @t42 @t121)) % 0.48/0.86 (define @t625 () (not (tptp.c_in @t414 @t131 @t20))) % 0.48/0.86 (define @t626 () (tptp.c_in @t619 @t61 @t20)) % 0.48/0.86 (define @t627 () (tptp.c_in (tptp.c_Pair @t362 @t624 @t25 @t25) @t61 @t603)) % 0.48/0.86 (define @t628 () (tptp.c_in @t414 (tptp.c_Relation_Oinv__image @t61 @t42 @t25 @t1) @t20)) % 0.48/0.86 (define @t629 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.86 (define @t630 () (@var "V_L" $$unsorted)) % 0.48/0.86 (define @t631 () (tptp.c_Pair @t17 @t121 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.86 (define @t632 () (tptp.c_in @t631 @t630 @t629)) % 0.48/0.86 (define @t633 () (not @t632)) % 0.48/0.86 (define @t634 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Omktop @t630)) % 0.48/0.86 (define @t635 () (tptp.c_in @t631 (tptp.hAPP @t634 @t119) @t629)) % 0.48/0.86 (define @t636 () (@list @t17 @t121 @t630 @t119)) % 0.48/0.86 (define @t637 () (tptp.hAPP @t634 @t17)) % 0.48/0.86 (define @t638 () (tptp.c_Pair @t17 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.86 (define @t639 () (@list @t17 @t630)) % 0.48/0.86 (define @t640 () (@list @t17 @t121 @t630)) % 0.48/0.86 (define @t641 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Omkbot @t630)) % 0.48/0.86 (define @t642 () (tptp.hAPP @t641 @t17)) % 0.48/0.86 (define @t643 () (tptp.c_Pair @t154 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.86 (define @t644 () (@list @t154 @t17 @t630)) % 0.48/0.86 (define @t645 () (tptp.c_in @t631 (tptp.hAPP @t641 @t119) @t629)) % 0.48/0.86 (define @t646 () (= @t154 @t17)) % 0.48/0.86 (define @t647 () (tptp.c_in @t74 (tptp.hAPP @t3 @t6) @t25)) % 0.48/0.86 (define @t648 () (tptp.c_in @t222 @t513 @t26)) % 0.48/0.86 (define @t649 () (@list @t121 @t4 @t1 @t17 @t61)) % 0.48/0.86 (define @t650 () (@list @t17 @t4 @t1 @t121 @t61)) % 0.48/0.86 (define @t651 () (not @t648)) % 0.48/0.86 (define @t652 () (@var "V_b_H" $$unsorted)) % 0.48/0.86 (define @t653 () (@var "V_a_H" $$unsorted)) % 0.48/0.86 (define @t654 () (not (= @t222 (tptp.c_Pair @t653 @t652 @t1 @t25)))) % 0.48/0.86 (define @t655 () (@list @t6 @t74 @t1 @t25 @t653 @t652)) % 0.48/0.86 (define @t656 () (tptp.hBOOL (tptp.hAPP @t44 @t17))) % 0.48/0.86 (define @t657 () (tptp.c_in @t17 @t44 @t1)) % 0.48/0.86 (define @t658 () (tptp.tc_fun @t629 tptp.tc_bool)) % 0.48/0.86 (define @t659 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t658)) % 0.48/0.86 (define @t660 () (tptp.tc_fun @t658 @t658)) % 0.48/0.86 (define @t661 () (tptp.tc_fun @t658 @t660)) % 0.48/0.86 (define @t662 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 0.48/0.86 (define @t663 () (tptp.c_HOL_OIf @t658)) % 0.48/0.86 (define @t664 () (tptp.c_Pair tptp.v_c____ tptp.v_d____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.86 (define @t665 () (tptp.c_in @t664 (tptp.hAPP tptp.v_F (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t663 (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_Oord__class_Oless tptp.tc_nat) tptp.v_h____ tptp.tc_nat @t662 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_n____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat tptp.tc_bool) tptp.tc_bool @t661 tptp.tc_Arrow__Order__Mirabelle_Oindi) (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Omktop tptp.v_P____ @t658 @t659 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_e____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t658) tptp.tc_Arrow__Order__Mirabelle_Oindi @t658 @t660) (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t663 (tptp.c_COMBC (tptp.c_COMBB (tptp.c_fequal tptp.tc_nat) tptp.v_h____ tptp.tc_nat @t662 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_n____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat tptp.tc_bool) tptp.tc_bool @t661 tptp.tc_Arrow__Order__Mirabelle_Oindi) (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Oabove tptp.v_P____ @t658 (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t659) tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t659) tptp.v_e____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t658) tptp.tc_Arrow__Order__Mirabelle_Oindi @t658 @t660) (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Omkbot tptp.v_P____ @t658 @t659 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_e____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t658) tptp.tc_Arrow__Order__Mirabelle_Oindi @t658 @t658) tptp.tc_Arrow__Order__Mirabelle_Oindi @t658 @t658)) @t629)) % 0.48/0.86 (define @t666 () (tptp.c_in @t664 (tptp.hAPP tptp.v_F tptp.v_P____) @t629)) % 0.48/0.86 (define @t667 () (not @t666)) % 0.48/0.86 (define @t668 () (@var "T_1" $$unsorted)) % 0.48/0.86 (define @t669 () (not (tptp.class_Lattices_Olattice @t668))) % 0.48/0.86 (define @t670 () (@var "T_2" $$unsorted)) % 0.48/0.86 (define @t671 () (tptp.tc_fun @t670 @t668)) % 0.48/0.86 (define @t672 () (@list @t670 @t668)) % 0.48/0.86 (define @t673 () (tptp.c_fequal @t1)) % 0.48/0.86 (define @t674 () (@var "V_Y" $$unsorted)) % 0.48/0.86 (define @t675 () (@var "V_X" $$unsorted)) % 0.48/0.86 (define @t676 () (@list false)) % 0.48/0.86 (assume @p1 (forall (@list @t6 @t4 @t1 @t3) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t8 @t2) @t7))) % 0.48/0.86 (assume @p2 (forall @t11 (not (= @t9 @t10)))) % 0.48/0.86 (assume @p3 (forall @t15 (= @t14 (tptp.c_HOL_Ominus__class_Ominus @t13 @t3 @t2)))) % 0.48/0.86 (assume @p4 (forall @t15 (= @t14 (tptp.c_HOL_Ominus__class_Ominus @t16 @t12 @t2)))) % 0.48/0.86 (assume @p5 (forall @t19 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t18 @t17 @t1)))) % 0.48/0.86 (assume @p6 (forall @t23 (tptp.c_lessequals @t22 @t3 @t21))) % 0.48/0.86 (assume @p7 (forall @t24 (tptp.c_lessequals @t10 @t4 @t2))) % 0.48/0.86 (assume @p8 (forall (@list @t32 @t29 @t25 @t1) (= (tptp.c_Relation_Orel__comp @t32 (tptp.c_Orderings_Obot__class_Obot @t31) @t1 @t29 @t25) @t28))) % 0.48/0.86 (assume @p9 (forall (@list @t1 @t29 @t32 @t25) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t34) @t32 @t1 @t29 @t25) @t28))) % 0.48/0.86 (assume @p10 (forall @t15 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t8 @t2) (tptp.c_Set_Oinsert @t6 @t35 @t1)))) % 0.48/0.86 (assume @p11 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t36 @t2) (tptp.c_Set_Oinsert @t6 @t37 @t1)))) % 0.48/0.86 (assume @p12 (forall (@list @t1 @t42 @t4 @t25) (or (not (= @t10 @t43)) @t41))) % 0.48/0.86 (assume @p13 (forall @t50 (tptp.c_lessequals @t49 @t46 @t21))) % 0.48/0.86 (assume @p14 (forall (@list @t1 @t25 @t52 @t51) (or (not (= (tptp.hAPP @t55 @t52) @t56)) (not (= (tptp.hAPP @t53 @t52) @t54)) (= @t52 @t51)))) % 0.48/0.86 (assume @p15 (forall (@list @t1 @t25 @t58 @t57) (or (not (= @t60 (tptp.hAPP @t55 @t57))) (not (= @t59 (tptp.hAPP @t53 @t57))) (= @t58 @t57)))) % 0.48/0.86 (assume @p16 (forall @t67 (or @t66 (not (tptp.hBOOL (tptp.hAPP @t64 @t65))) @t63))) % 0.48/0.86 (assume @p17 (forall (@list @t4 @t25 @t1 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t71 @t70 @t2) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t69) @t25 @t1) @t2))) % 0.48/0.86 (assume @p18 (forall (@list @t4 @t74 @t3 @t1) (or (tptp.c_lessequals @t4 @t75 @t2) @t73))) % 0.48/0.86 (assume @p19 (forall @t79 (or @t72 @t78))) % 0.48/0.86 (assume @p20 (forall @t83 (or (= @t82 @t16) @t81))) % 0.48/0.86 (assume @p21 (forall @t90 (or @t89 (not @t85) @t84))) % 0.48/0.86 (assume @p22 (forall (@list @t4 @t3 @t25 @t36 @t1 @t17) (or @t85 (not @t89) @t84))) % 0.48/0.86 (assume @p23 (forall @t98 (or @t97 @t95 @t93))) % 0.48/0.86 (assume @p24 (forall (@list @t4 @t17 @t1 @t3) (or @t92 @t95 @t99))) % 0.48/0.86 (assume @p25 (forall (@list @t100 @t25 @t1 @t4 @t17) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t100 @t25 @t1) @t4 @t1 @t25) (tptp.c_Set_Oinsert @t100 @t40 @t25)) @t95))) % 0.48/0.86 (assume @p26 (forall @t103 (or (tptp.c_lessequals @t102 @t52 @t21) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t102 @t52 @t21) @t61 @t1 @t1 @t1) @t52 @t21)) @t101))) % 0.48/0.86 (assume @p27 (forall @t108 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t106 @t104 @t2) @t36 @t1 @t25) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t105 @t27)))) % 0.48/0.86 (assume @p28 (forall (@list @t74 @t6 @t1) (or (= @t74 @t6) (not (tptp.c_in @t74 @t12 @t1))))) % 0.48/0.86 (assume @p29 (forall @t110 (or @t109 (= @t16 @t4)))) % 0.48/0.86 (assume @p30 (forall (@list @t4 @t1 @t25 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t112 @t111 @t2) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t27) @t1 @t25) @t2))) % 0.48/0.86 (assume @p31 (forall @t115 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t113 @t2)))) % 0.48/0.86 (assume @p32 (forall @t118 (= @t117 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t116 @t2)))) % 0.48/0.86 (assume @p33 (forall @t127 (or @t126 (= @t125 @t123)))) % 0.48/0.86 (assume @p34 (forall @t129 (or @t126 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t17 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t128 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t119 @t17 @t1) @t1))))) % 0.48/0.86 (assume @p35 (forall @t132 (tptp.c_lessequals @t131 @t130 @t21))) % 0.48/0.86 (assume @p36 (forall @t136 (or @t135 @t134))) % 0.48/0.86 (assume @p37 (forall @t132 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t4 @t2) @t4))) % 0.48/0.86 (assume @p38 (forall @t19 (or @t137 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t17 @t1) @t17)))) % 0.48/0.86 (assume @p39 (forall (@list @t138 @t142 @t1 @t25 @t29 @t61 @t52) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t138 @t142 @t1 @t25 @t29) @t143 @t34) (not (tptp.c_lessequals @t142 @t52 @t141)) @t139))) % 0.48/0.86 (assume @p40 (forall (@list @t32 @t44 @t25 @t1 @t4) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t44 @t69) @t4 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t144 (tptp.c_Relation_OImage @t44 @t4 @t25 @t1) @t2)))) % 0.48/0.86 (assume @p41 (forall @t147 (= (tptp.c_Relation_OImage @t32 @t146 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t144 @t145 @t2)))) % 0.48/0.86 (assume @p42 (forall (@list @t64 @t151 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t64 @t151)) (not (tptp.hBOOL (tptp.hAPP @t64 @t150))) @t149))) % 0.48/0.86 (assume @p43 (forall (@list @t1 @t25) (= (tptp.c_Relation_ODomain @t28 @t1 @t25) @t10))) % 0.48/0.86 (assume @p44 (forall (@list @t17 @t121 @t4 @t1) (= (tptp.c_Set_Oinsert @t17 @t152 @t1) (tptp.c_Set_Oinsert @t121 @t76 @t1)))) % 0.48/0.86 (assume @p45 (forall (@list @t51 @t1 @t25) (= @t51 (tptp.c_Pair @t54 @t56 @t1 @t25)))) % 0.48/0.86 (assume @p46 (forall (@list @t1 @t25 @t58) (= (tptp.c_Pair @t59 @t60 @t1 @t25) @t58))) % 0.48/0.86 (assume @p47 (forall (@list @t64 @t1 @t25 @t153) (= (tptp.hAPP (tptp.c_COMBK @t64 @t1 @t25) @t153) @t64))) % 0.48/0.86 (assume @p48 (forall @t110 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t3 @t2) @t16))) % 0.48/0.86 (assume @p49 (forall (@list @t154 @t17 @t1) (= (tptp.c_Set_Oinsert @t154 @t91 @t1) (tptp.c_Set_Oinsert @t17 (tptp.c_Set_Oinsert @t154 @t10 @t1) @t1)))) % 0.48/0.86 (assume @p50 (forall (@list @t61 @t36 @t1 @t25 @t3 @t4) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t61 @t36 @t1 @t25) @t3 @t39) @t156))) % 0.48/0.86 (assume @p51 (forall (@list @t1 @t154 @t121 @t17) (or @t158 (not (= (tptp.c_HOL_Ominus__class_Ominus @t154 @t121 @t1) @t157)) (= @t154 @t121)))) % 0.48/0.86 (assume @p52 (forall (@list @t1 @t17 @t160 @t159) (or @t158 (not (= @t157 @t161)) (= @t160 @t159)))) % 0.48/0.86 (assume @p53 (forall (@list @t42 @t25 @t1) (= @t162 @t10))) % 0.48/0.86 (assume @p54 (forall (@list @t42 @t4 @t25 @t1 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t43 @t163 @t2) (tptp.c_Set_Oimage @t42 (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t39) @t25 @t1) @t2))) % 0.48/0.86 (assume @p55 (forall @t118 (= @t165 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t164 @t2)))) % 0.48/0.86 (assume @p56 (forall @t166 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t36 @t2) @t165))) % 0.48/0.86 (assume @p57 (forall @t127 (or @t137 @t169))) % 0.48/0.86 (assume @p58 (forall @t127 (or @t137 @t171))) % 0.48/0.86 (assume @p59 (forall @t127 (or @t172 @t171))) % 0.48/0.86 (assume @p60 (forall @t127 (or @t172 @t169))) % 0.48/0.86 (assume @p61 (forall @t110 (or (= @t5 @t4) @t73))) % 0.48/0.86 (assume @p62 (forall @t110 (or (= @t5 @t3) @t173))) % 0.48/0.86 (assume @p63 (forall @t178 (or @t177 @t176 @t175))) % 0.48/0.86 (assume @p64 (forall @t178 (or @t177 (not @t176) @t174))) % 0.48/0.86 (assume @p65 (forall @t178 (or @t177 (= @t122 @t121) @t180))) % 0.48/0.86 (assume @p66 (forall @t166 (or @t185 @t184 @t182))) % 0.48/0.86 (assume @p67 (forall @t186 (tptp.c_lessequals @t3 @t35 @t2))) % 0.48/0.86 (assume @p68 (forall @t110 (tptp.c_lessequals @t4 @t35 @t2))) % 0.48/0.86 (assume @p69 (forall @t193 (or @t137 @t192 @t190 @t188))) % 0.48/0.86 (assume @p70 (forall @t178 (or @t137 @t194))) % 0.48/0.86 (assume @p71 (forall @t196 (or @t137 @t195))) % 0.48/0.86 (assume @p72 (forall @t129 (or @t137 (tptp.c_lessequals @t124 @t17 @t1) (not @t197) @t180))) % 0.48/0.86 (assume @p73 (forall @t127 (or @t137 @t202 @t201 @t199))) % 0.48/0.86 (assume @p74 (forall @t196 (or @t172 @t195))) % 0.48/0.86 (assume @p75 (forall @t178 (or @t172 @t194))) % 0.48/0.86 (assume @p76 (forall @t110 (= @t5 @t114))) % 0.48/0.86 (assume @p77 (forall @t178 (or @t177 @t203))) % 0.48/0.86 (assume @p78 (forall @t178 (or @t172 @t203))) % 0.48/0.86 (assume @p79 (forall @t205 (or @t204 @t63))) % 0.48/0.86 (assume @p80 (forall @t110 (or (= @t207 @t3) @t73))) % 0.48/0.86 (assume @p81 (forall @t215 (or (tptp.c_lessequals @t214 @t213 @t2) @t211 @t208))) % 0.48/0.86 (assume @p82 (forall @t216 (= (tptp.c_Relation_OImage @t32 @t40 @t25 @t1) @t10))) % 0.48/0.86 (assume @p83 (forall @t217 (= (tptp.c_Set_Oinsert @t17 @t76 @t1) @t76))) % 0.48/0.86 (assume @p84 (forall (@list @t4 @t17 @t121 @t1) (or @t220 @t219 (not @t218)))) % 0.48/0.86 (assume @p85 (forall @t223 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t222 @t61 @t26) @t1 @t25) (tptp.c_Set_Oinsert @t6 @t221 @t1)))) % 0.48/0.86 (assume @p86 (forall @t228 (or (tptp.c_Relation_Osym @t227 @t1) @t226 @t225))) % 0.48/0.86 (assume @p87 (forall @t103 (or @t231 @t101))) % 0.48/0.86 (assume @p88 (forall @t232 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t27) @t1 @t25) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t112 @t111 @t2) @t2))) % 0.48/0.86 (assume @p89 (forall @t19 (or @t233 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t18 @t1) @t18)))) % 0.48/0.86 (assume @p90 (forall @t19 (or @t233 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t17 @t1) @t18)))) % 0.48/0.86 (assume @p91 (forall @t23 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t3 @t2) @t10))) % 0.48/0.86 (assume @p92 (forall @t132 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t10 @t2) @t10))) % 0.48/0.86 (assume @p93 (forall (@list @t3 @t6 @t1) (tptp.c_lessequals @t3 @t8 @t2))) % 0.48/0.86 (assume @p94 (forall @t235 (tptp.c_lessequals (tptp.c_Set_Oimage @t42 @t234 @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t163 @t2) @t2))) % 0.48/0.86 (assume @p95 (forall @t147 (tptp.c_lessequals @t237 @t236 @t2))) % 0.48/0.86 (assume @p96 (forall @t166 (or (not @t239) @t238))) % 0.48/0.86 (assume @p97 (forall @t166 (or @t239 @t240))) % 0.48/0.86 (assume @p98 (forall @t108 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t106 @t104 @t2) @t36 @t1 @t25) (tptp.c_HOL_Ominus__class_Ominus @t107 @t105 @t27)))) % 0.48/0.86 (assume @p99 (forall @t132 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t10 @t2) @t4))) % 0.48/0.86 (assume @p100 (forall @t132 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t4 @t2) @t10))) % 0.48/0.86 (assume @p101 (forall (@list @t61 @t52 @t1 @t25 @t29 @t4 @t36 @t3) (or (tptp.c_lessequals @t143 (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t36 @t241 @t1) @t1 @t29) @t34) (not (tptp.c_lessequals @t52 (tptp.c_Product__Type_OSigma @t3 (tptp.c_COMBK @t36 @t241 @t25) @t25 @t29) @t141)) @t156))) % 0.48/0.86 (assume @p102 (forall @t243 (or @t242 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t32 @t44 @t1 @t1 @t1) @t32 @t21)) (not (tptp.c_Wellfounded_Owf @t44 @t1)) @t149))) % 0.48/0.86 (assume @p103 (forall @t246 (or @t245 @t220 (not @t244)))) % 0.48/0.86 (assume @p104 (forall @t79 (or @t244 @t247))) % 0.48/0.86 (assume @p105 (forall @t79 (or @t244 @t248))) % 0.48/0.86 (assume @p106 (forall @t103 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t249 (tptp.c_Relation_ORange @t52 @t1 @t1) @t2) @t10)) (not (tptp.c_Wellfounded_Owf @t52 @t1)) @t63 (tptp.c_Wellfounded_Owf @t227 @t1)))) % 0.48/0.86 (assume @p107 (forall @t253 (= (tptp.c_Product__Type_OSigma @t5 @t250 @t1 @t25) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t252 @t251 @t27)))) % 0.48/0.86 (assume @p108 (forall @t255 (or (tptp.c_Relation_Orefl__on @t35 @t227 @t1) @t254 @t134))) % 0.48/0.86 (assume @p109 (forall @t127 (or @t172 @t258))) % 0.48/0.86 (assume @p110 (forall @t127 (or @t172 @t259))) % 0.48/0.86 (assume @p111 (forall @t127 (or @t177 @t259))) % 0.48/0.86 (assume @p112 (forall @t127 (or @t177 @t258))) % 0.48/0.86 (assume @p113 (forall @t166 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t36 @t2) @t261))) % 0.48/0.86 (assume @p114 (forall @t118 (= @t261 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t116 @t2)))) % 0.48/0.86 (assume @p115 (forall @t19 (or @t233 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t18 @t1) @t17)))) % 0.48/0.86 (assume @p116 (forall @t19 (or @t233 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t17 @t1) @t17)))) % 0.48/0.86 (assume @p117 (forall @t23 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t3 @t2) @t3))) % 0.48/0.86 (assume @p118 (forall @t132 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t10 @t2) @t4))) % 0.48/0.86 (assume @p119 (forall @t24 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t4 @t2) @t10))) % 0.48/0.86 (assume @p120 (forall (@list @t6 @t4 @t1 @t74 @t3 @t25) (= (tptp.c_Product__Type_OSigma @t9 @t262 @t1 @t25) (tptp.c_Set_Oinsert @t222 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t4 @t262 @t1 @t25) (tptp.c_Product__Type_OSigma @t9 @t155 @t1 @t25) @t27) @t26)))) % 0.48/0.86 (assume @p121 (forall (@list @t4 @t1 @t32) (or @t263 (not (tptp.c_lessequals @t4 (tptp.c_Relation_OImage @t32 @t4 @t1 @t1) @t2)) @t149))) % 0.48/0.86 (assume @p122 (forall @t19 (not (tptp.hBOOL (tptp.hAPP @t10 @t17))))) % 0.48/0.86 (assume @p123 (forall @t264 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t16 @t2) (tptp.c_HOL_Ominus__class_Ominus @t113 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t3 @t2) @t2)))) % 0.48/0.86 (assume @p124 (forall @t166 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t36 @t2) @t265))) % 0.48/0.86 (assume @p125 (forall (@list @t100 @t1 @t25 @t4) (or (= (tptp.c_Set_Oimage @t266 @t4 @t25 @t1) (tptp.c_Set_Oinsert @t100 @t10 @t1)) @t41))) % 0.48/0.86 (assume @p126 (forall @t268 (or (tptp.c_lessequals @t16 (tptp.c_HOL_Ominus__class_Ominus @t36 @t267 @t2) @t2) (not (tptp.c_lessequals @t267 @t3 @t2)) @t182))) % 0.48/0.86 (assume @p127 (forall @t269 (or @t81 @t95 @t109))) % 0.48/0.86 (assume @p128 (forall @t228 (or (tptp.c_Relation_Otrans @t272 @t1) (not (tptp.c_Relation_Otrans @t52 @t1)) @t271))) % 0.48/0.86 (assume @p129 (forall @t127 (or @t172 (tptp.c_lessequals @t274 @t273 @t1)))) % 0.48/0.86 (assume @p130 (forall @t275 (= @t265 (tptp.c_HOL_Ominus__class_Ominus @t116 @t3 @t2)))) % 0.48/0.86 (assume @p131 (forall @t178 (or @t172 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t122 @t1) @t17)))) % 0.48/0.86 (assume @p132 (forall @t115 (or (not (= (tptp.c_Relation_Orel__comp @t3 @t36 @t1 @t1 @t1) @t22)) @t276 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t21) @t36 @t1 @t1 @t1) @t22)))) % 0.48/0.86 (assume @p133 (forall @t275 (or @t276 (not (= (tptp.c_Relation_Orel__comp @t4 @t3 @t1 @t1 @t1) @t22)) (= (tptp.c_Relation_Orel__comp @t4 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t36 @t21) @t1 @t1 @t1) @t22)))) % 0.48/0.86 (assume @p134 (forall (@list @t64 @t278 @t61 @t1) (or (tptp.hBOOL (tptp.hAPP @t64 @t278)) (not (tptp.hBOOL (tptp.hAPP @t64 @t277))) @t63))) % 0.48/0.86 (assume @p135 (forall @t205 (or @t204 (not @t280)))) % 0.48/0.86 (assume @p136 (forall @t205 (or @t280 @t281))) % 0.48/0.86 (assume @p137 (forall @t110 (or @t282 @t173 @t73))) % 0.48/0.86 (assume @p138 (forall @t178 (or @t284 @t283 @t180 @t175))) % 0.48/0.86 (assume @p139 (forall (@list @t64 @t25 @t29 @t1 @t119) (= (tptp.hAPP (tptp.c_split @t64 @t25 @t29 @t1) @t119) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.c_fst @t25 @t29) @t119)) (tptp.hAPP (tptp.c_snd @t25 @t29) @t119))))) % 0.48/0.86 (assume @p140 (forall @t178 (or @t284 @t283 @t175 @t180))) % 0.48/0.86 (assume @p141 (forall @t178 (or @t172 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t168 @t1) @t17)))) % 0.48/0.86 (assume @p142 (forall @t110 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t5 @t2) @t4))) % 0.48/0.86 (assume @p143 (forall @t178 (or @t137 (= @t168 @t17) @t180))) % 0.48/0.86 (assume @p144 (forall @t178 (or @t137 (not @t285) @t174))) % 0.48/0.86 (assume @p145 (forall @t178 (or @t137 @t285 @t175))) % 0.48/0.86 (assume @p146 (forall @t110 (or @t286 @t73))) % 0.48/0.86 (assume @p147 (forall @t110 (or (= @t35 @t4) @t173))) % 0.48/0.86 (assume @p148 (forall @t110 (or (not @t286) @t72))) % 0.48/0.86 (assume @p149 (forall @t255 (or (tptp.c_Relation_Orefl__on @t5 @t272 @t1) @t254 @t134))) % 0.48/0.86 (assume @p150 (forall @t287 (tptp.c_Relation_Oantisym @t22 @t1))) % 0.48/0.86 (assume @p151 (forall (@list @t25 @t1) (= (tptp.c_Relation_ORange @t288 @t25 @t1) @t10))) % 0.48/0.86 (assume @p152 (forall @t293 (or @t292 @t291 @t289))) % 0.48/0.86 (assume @p153 (forall @t293 (or @t292 @t294 @t289))) % 0.48/0.86 (assume @p154 (forall @t293 (or @t292 @t291 @t295))) % 0.48/0.86 (assume @p155 (forall @t293 (or @t292 @t294 @t295))) % 0.48/0.86 (assume @p156 (forall @t297 (or (tptp.c_lessequals @t102 @t130 @t21) @t296))) % 0.48/0.86 (assume @p157 (forall @t103 (or @t231 (not (tptp.c_lessequals @t61 @t229 @t21))))) % 0.48/0.86 (assume @p158 (forall @t132 (or @t263 (not (tptp.c_lessequals @t4 @t10 @t2))))) % 0.48/0.86 (assume @p159 (forall @t287 (tptp.c_lessequals @t10 @t10 @t2))) % 0.48/0.86 (assume @p160 (forall (@list @t1 @t6 @t4) (not (= @t10 @t9)))) % 0.48/0.86 (assume @p161 (forall @t287 (tptp.c_Relation_Orefl__on @t10 @t22 @t1))) % 0.48/0.86 (assume @p162 (forall @t38 (or (= @t299 (tptp.c_Set_Oinsert @t6 @t260 @t1)) (not @t298)))) % 0.48/0.86 (assume @p163 (forall @t15 (or (= @t302 @t7) @t301))) % 0.48/0.86 (assume @p164 (forall (@list @t42 @t6 @t3 @t25 @t1) (= (tptp.c_Set_Oimage @t42 (tptp.c_Set_Oinsert @t6 @t3 @t25) @t25 @t1) (tptp.c_Set_Oinsert @t303 @t163 @t1)))) % 0.48/0.86 (assume @p165 (forall (@list @t1 @t61) (tptp.c_Relation_Ototal__on @t10 @t61 @t1))) % 0.48/0.86 (assume @p166 (forall @t268 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t267 @t2) @t2) @t304 @t182))) % 0.48/0.86 (assume @p167 (forall @t307 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t52 @t69) @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t306 @t305 @t27)))) % 0.48/0.86 (assume @p168 (forall @t178 (or @t172 @t308))) % 0.48/0.86 (assume @p169 (forall @t178 (or @t172 @t309))) % 0.48/0.86 (assume @p170 (forall @t127 (or @t177 @t310 @t199 @t175))) % 0.48/0.86 (assume @p171 (forall @t317 (or @t177 @t316 @t314 @t312))) % 0.48/0.86 (assume @p172 (forall @t178 (or @t177 @t309))) % 0.48/0.86 (assume @p173 (forall @t178 (or @t177 @t308))) % 0.48/0.86 (assume @p174 (forall @t110 (tptp.c_lessequals @t5 @t4 @t2))) % 0.48/0.86 (assume @p175 (forall @t110 (tptp.c_lessequals @t5 @t3 @t2))) % 0.48/0.86 (assume @p176 (forall @t264 (or @t319 (not @t318) @t240))) % 0.48/0.86 (assume @p177 (forall @t253 (= (tptp.c_Product__Type_OSigma @t35 @t250 @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t252 @t251 @t27)))) % 0.48/0.86 (assume @p178 (forall @t127 (or @t172 (tptp.c_lessequals @t123 @t125 @t1)))) % 0.48/0.86 (assume @p179 (forall (@list @t44 @t1 @t32) (or (= @t47 @t48) (not (tptp.c_lessequals @t44 @t48 @t21)) (not (tptp.c_lessequals @t32 @t44 @t21))))) % 0.48/0.86 (assume @p180 (forall @t110 (tptp.c_lessequals @t16 @t4 @t2))) % 0.48/0.86 (assume @p181 (forall @t11 (= @t320 @t9))) % 0.48/0.86 (assume @p182 (forall (@list @t6 @t1 @t74) (or (not (= @t12 @t212)) @t321))) % 0.48/0.86 (assume @p183 (forall @t166 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t260 @t2) @t113 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t37 @t2) @t322 @t2)))) % 0.48/0.86 (assume @p184 (forall @t287 (= (tptp.c_Relation_OId__on @t10 @t1) @t22))) % 0.48/0.86 (assume @p185 (forall (@list @t100 @t1 @t25) (= (tptp.c_Set_Oimage @t266 @t40 @t25 @t1) @t10))) % 0.48/0.86 (assume @p186 (forall (@list @t17 @t154 @t1) (or (not (= (tptp.c_Set_Oinsert @t17 @t154 @t1) @t10)) (tptp.c_in @t17 @t154 @t1)))) % 0.48/0.86 (assume @p187 (forall @t287 (tptp.c_Wellfounded_Owf @t22 @t1))) % 0.48/0.86 (assume @p188 (forall @t269 (or @t80 @t78))) % 0.48/0.86 (assume @p189 (forall @t108 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t106 @t104 @t2) @t36 @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t105 @t27)))) % 0.48/0.86 (assume @p190 (forall (@list @t121 @t4 @t1 @t17) (or @t218 @t248))) % 0.48/0.86 (assume @p191 (forall @t98 (or @t97 @t73 @t94))) % 0.48/0.86 (assume @p192 (forall @t79 (or @t72 @t94 @t99))) % 0.48/0.86 (assume @p193 (forall @t79 (or @t72 @t99 @t94))) % 0.48/0.86 (assume @p194 (forall @t307 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t52 @t69) @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t305 @t27)))) % 0.48/0.86 (assume @p195 (forall @t15 (or (= @t302 @t5) @t300))) % 0.48/0.86 (assume @p196 (forall @t38 (or (= @t299 @t260) @t298))) % 0.48/0.86 (assume @p197 (forall @t326 (or @t325 @t324))) % 0.48/0.86 (assume @p198 (forall @t110 (or @t327 (= @t3 @t10)))) % 0.48/0.86 (assume @p199 (forall @t110 (or @t327 @t263))) % 0.48/0.86 (assume @p200 (forall @t329 (or @t233 @t328 (= @t4 @t18)))) % 0.48/0.86 (assume @p201 (forall @t329 (or @t233 @t328 (= @t3 @t18)))) % 0.48/0.86 (assume @p202 (forall @t186 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t206 @t4 @t2) @t330))) % 0.48/0.86 (assume @p203 (forall @t110 (= @t207 @t35))) % 0.48/0.86 (assume @p204 (forall (@list @t44 @t331 @t1 @t29 @t32 @t25) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t331 @t34) @t32 @t1 @t29 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t44 @t32 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t331 @t32 @t1 @t29 @t25) @t27)))) % 0.48/0.86 (assume @p205 (forall (@list @t32 @t44 @t331 @t29 @t25 @t1) (= (tptp.c_Relation_Orel__comp @t32 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t331 @t31) @t1 @t29 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t32 @t44 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t32 @t331 @t1 @t29 @t25) @t27)))) % 0.48/0.86 (assume @p206 (forall (@list @t36 @t3 @t1 @t4) (or @t318 @t332))) % 0.48/0.86 (assume @p207 (forall (@list @t36 @t4 @t1 @t3) (or @t238 @t332))) % 0.48/0.86 (assume @p208 (forall @t317 (or @t177 @t311 @t333))) % 0.48/0.86 (assume @p209 (forall (@list @t1 @t17 @t74 @t6) (or @t177 @t313 @t333))) % 0.48/0.86 (assume @p210 (forall @t193 (or @t177 @t334 @t188))) % 0.48/0.86 (assume @p211 (forall @t193 (or @t177 @t334 @t190))) % 0.48/0.86 (assume @p212 (forall @t127 (or @t177 @t174 @t335))) % 0.48/0.86 (assume @p213 (forall @t336 (or @t177 @t198 @t335))) % 0.48/0.86 (assume @p214 (forall @t166 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t36 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t338 @t337 @t2)))) % 0.48/0.86 (assume @p215 (forall @t110 (= @t35 @t330))) % 0.48/0.86 (assume @p216 (forall @t178 (or @t137 @t340))) % 0.48/0.86 (assume @p217 (forall @t178 (or @t172 @t340))) % 0.48/0.86 (assume @p218 (forall @t232 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t27) @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t112 @t111 @t2)))) % 0.48/0.86 (assume @p219 (forall @t11 (= @t9 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t4 @t2)))) % 0.48/0.86 (assume @p220 (forall (@list @t1 @t3 @t25) (= (tptp.c_Product__Type_OSigma @t10 @t3 @t1 @t25) @t28))) % 0.48/0.86 (assume @p221 (forall (@list @t341 @t1 @t342) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t341 @t1) (tptp.c_Wellfounded_Oacc @t342 @t1) @t2) (not (tptp.c_lessequals @t342 @t341 @t21))))) % 0.48/0.86 (assume @p222 (forall @t110 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t35 @t2) @t35))) % 0.48/0.86 (assume @p223 (forall @t178 (or @t137 @t343))) % 0.48/0.86 (assume @p224 (forall @t178 (or @t172 @t343))) % 0.48/0.86 (assume @p225 (forall @t344 (or (not (= @t221 @t10)) (= @t61 @t28)))) % 0.48/0.86 (assume @p226 (forall (@list @t1 @t42 @t25) (= @t10 @t162))) % 0.48/0.86 (assume @p227 (forall @t110 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t206 @t2) @t10))) % 0.48/0.86 (assume @p228 (forall @t345 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t69) @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 @t70 @t2) @t2))) % 0.48/0.86 (assume @p229 (forall @t67 (or @t66 (not (tptp.hBOOL (tptp.hAPP @t64 @t346))) @t63))) % 0.48/0.86 (assume @p230 (forall @t50 (= (tptp.c_Transitive__Closure_Ortrancl @t49 @t1) @t46))) % 0.48/0.86 (assume @p231 (forall @t83 (or (= @t82 (tptp.c_Set_Oinsert @t17 @t16 @t1)) @t80))) % 0.48/0.86 (assume @p232 (forall @t98 (or @t97 @t73 @t93))) % 0.48/0.86 (assume @p233 (forall @t246 (or @t245 @t348))) % 0.48/0.86 (assume @p234 (forall @t98 (or @t220 @t348))) % 0.48/0.86 (assume @p235 (forall @t351 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t350 @t61 @t68) @t25 @t1) (tptp.c_Set_Oinsert @t74 @t349 @t1)))) % 0.48/0.86 (assume @p236 (forall @t228 (or (tptp.c_Relation_Osym @t272 @t1) @t226 @t225))) % 0.48/0.86 (assume @p237 (forall @t217 (or (= (tptp.c_HOL_Ominus__class_Ominus @t76 @t91 @t2) @t4) @t94))) % 0.48/0.86 (assume @p238 (forall @t166 (or @t353 (not @t352)))) % 0.48/0.86 (assume @p239 (forall @t118 (or @t352 (not @t353)))) % 0.48/0.86 (assume @p240 (forall (@list @t42 @t354 @t61 @t17 @t1 @t25) (or (not (= (tptp.hAPP @t42 @t356) (tptp.hAPP @t354 @t356))) @t355))) % 0.48/0.86 (assume @p241 (forall @t361 (or @t204 @t360))) % 0.48/0.86 (assume @p242 (forall (@list @t25 @t42 @t17 @t354 @t1) (or (not (tptp.class_HOL_Oord @t25)) (tptp.c_lessequals @t362 (tptp.hAPP @t354 @t17) @t25) (not (tptp.c_lessequals @t42 @t354 (tptp.tc_fun @t1 @t25)))))) % 0.48/0.86 (assume @p243 (forall @t368 (or @t367 @t366 @t364))) % 0.48/0.86 (assume @p244 (forall (@list @t6 @t74 @t4 @t1) (or @t369 @t301))) % 0.48/0.86 (assume @p245 (forall (@list @t6 @t74 @t3 @t1) (or (tptp.c_in @t6 @t75 @t1) (not (tptp.c_in @t6 @t3 @t1))))) % 0.48/0.86 (assume @p246 (forall (@list @t51 @t3 @t1 @t4) (or (tptp.c_in @t51 @t3 @t1) (not (tptp.c_in @t51 @t4 @t1)) @t73))) % 0.48/0.86 (assume @p247 (forall @t269 (or @t80 @t73 @t95))) % 0.48/0.86 (assume @p248 (forall @t370 (or @t365 @t364 @t73))) % 0.48/0.86 (assume @p249 (forall @t269 (or @t80 @t95 @t73))) % 0.48/0.86 (assume @p250 (forall @t368 (or @t371 @t364))) % 0.48/0.86 (assume @p251 (forall @t368 (or @t371 @t366))) % 0.48/0.86 (assume @p252 (forall @t373 @t372)) % 0.48/0.86 (assume @p253 (forall @t375 (or @t374 @t372))) % 0.48/0.86 (assume @p254 (forall (@list @t100 @t1) (not (tptp.c_in @t100 @t10 @t1)))) % 0.48/0.86 (assume @p255 (forall @t376 (not (tptp.c_in @t6 @t10 @t1)))) % 0.48/0.86 (assume @p256 (forall (@list @t6 @t4 @t1 @t74) (or @t300 @t321 (not @t369)))) % 0.48/0.86 (assume @p257 (forall @t370 (or @t365 @t363 (not @t371)))) % 0.48/0.86 (assume @p258 (forall @t370 (or @t366 @t378))) % 0.48/0.86 (assume @p259 (forall @t379 (or @t363 @t378))) % 0.48/0.86 (assume @p260 (forall @t217 (tptp.c_in @t17 @t76 @t1))) % 0.48/0.86 (assume @p261 (forall (@list @t6 @t3 @t1) (tptp.c_in @t6 @t8 @t1))) % 0.48/0.86 (assume @p262 (forall (@list @t17 @t3 @t1) (tptp.c_in @t17 @t96 @t1))) % 0.48/0.86 (assume @p263 (forall @t370 (or @t365 @t380))) % 0.48/0.86 (assume @p264 (forall @t379 (or @t363 @t380))) % 0.48/0.86 (assume @p265 (forall @t375 (or @t381 @t372))) % 0.48/0.86 (assume @p266 (forall @t368 (or @t377 @t365 @t364))) % 0.48/0.86 (assume @p267 (forall @t83 (or (not (= @t76 @t96)) @t80 @t94 @t282))) % 0.48/0.86 (assume @p268 (forall @t11 (or (= @t9 @t4) @t301))) % 0.48/0.86 (assume @p269 (forall (@list @t1 @t25 @t6 @t74) (= (tptp.hAPP @t53 @t222) @t6))) % 0.48/0.86 (assume @p270 (forall (@list @t17 @t1 @t25 @t121) (= @t17 (tptp.hAPP @t53 @t382)))) % 0.48/0.86 (assume @p271 (forall (@list @t25 @t1 @t6 @t74) (= (tptp.hAPP @t383 @t350) @t74))) % 0.48/0.86 (assume @p272 (forall (@list @t121 @t25 @t1 @t17) (= @t121 @t385))) % 0.48/0.86 (assume @p273 (forall (@list @t64 @t1 @t25 @t58 @t57 @t153) (or (tptp.hBOOL (tptp.hAPP @t64 (tptp.hAPP @t53 @t388))) @t387 @t386))) % 0.48/0.86 (assume @p274 (forall (@list @t153 @t1 @t25 @t58 @t57 @t64) (or (tptp.hBOOL (tptp.hAPP @t153 (tptp.hAPP @t55 @t388))) @t387 @t386))) % 0.48/0.86 (assume @p275 (forall @t129 (or @t126 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t256 @t17 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t339 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t119 @t17 @t1) @t1))))) % 0.48/0.86 (assume @p276 (forall @t127 (or @t126 (= @t274 @t273)))) % 0.48/0.86 (assume @p277 (forall @t118 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t260 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t164 @t2)))) % 0.48/0.86 (assume @p278 (forall @t115 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t330 @t322 @t2)))) % 0.48/0.86 (assume @p279 (forall @t297 (or @t270 @t324))) % 0.48/0.86 (assume @p280 (forall @t217 (tptp.hBOOL (tptp.hAPP @t76 @t17)))) % 0.48/0.86 (assume @p281 (forall @t83 (or @t77 @t73 @t81))) % 0.48/0.86 (assume @p282 (forall @t253 (= (tptp.c_Product__Type_OSigma @t16 @t250 @t1 @t25) (tptp.c_HOL_Ominus__class_Ominus @t252 @t251 @t27)))) % 0.48/0.86 (assume @p283 (forall @t178 (or @t172 @t389))) % 0.48/0.86 (assume @p284 (forall @t178 (or @t177 @t389))) % 0.48/0.86 (assume @p285 (forall @t110 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t5 @t2) @t5))) % 0.48/0.86 (assume @p286 (forall @t345 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t69) @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 @t70 @t2)))) % 0.48/0.86 (assume @p287 (forall (@list @t61 @t138 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t138 @t21) @t1) @t63))) % 0.48/0.86 (assume @p288 (forall (@list @t138 @t61 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t61 @t21) @t1) @t63))) % 0.48/0.86 (assume @p289 (forall @t11 (or (= @t320 @t4) @t301))) % 0.48/0.86 (assume @p290 (forall @t19 (or @t177 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t17 @t1) @t17)))) % 0.48/0.86 (assume @p291 (forall @t132 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t2) @t4))) % 0.48/0.86 (assume @p292 (forall @t129 (or @t137 @t200 @t390))) % 0.48/0.86 (assume @p293 (forall @t336 (or @t137 @t198 @t390))) % 0.48/0.86 (assume @p294 (forall @t317 (or @t137 @t391 @t314))) % 0.48/0.86 (assume @p295 (forall @t317 (or @t137 @t391 @t312))) % 0.48/0.86 (assume @p296 (forall (@list @t1 @t74 @t17 @t6) (or @t137 @t189 @t392))) % 0.48/0.86 (assume @p297 (forall (@list @t1 @t6 @t17 @t74) (or @t137 @t187 @t392))) % 0.48/0.86 (assume @p298 (forall @t275 (or @t181 @t393))) % 0.48/0.86 (assume @p299 (forall @t115 (or @t183 @t393))) % 0.48/0.86 (assume @p300 (forall (@list @t1 @t119 @t17 @t121) (or @t284 @t197 (not (tptp.c_lessequals @t119 @t121 @t1)) @t180))) % 0.48/0.86 (assume @p301 (forall @t336 (or @t394 @t198 @t201 @t175))) % 0.48/0.86 (assume @p302 (forall @t373 (tptp.c_lessequals @t17 @t17 @t2))) % 0.48/0.86 (assume @p303 (forall @t132 (tptp.c_lessequals @t4 @t4 @t2))) % 0.48/0.86 (assume @p304 (forall @t275 (or @t181 @t184 @t73))) % 0.48/0.86 (assume @p305 (forall @t397 (or @t396 @t381 @t395))) % 0.48/0.86 (assume @p306 (forall (@list @t58 @t1 @t61) (or (tptp.c_Wellfounded_Owf @t58 @t1) (not (tptp.c_lessequals @t58 @t61 @t21)) @t63))) % 0.48/0.86 (assume @p307 (forall @t19 (or @t284 @t398))) % 0.48/0.86 (assume @p308 (forall @t19 (or @t394 @t398))) % 0.48/0.86 (assume @p309 (forall @t103 (or @t399 (not (tptp.c_Relation_Oantisym @t52 @t1)) @t101))) % 0.48/0.86 (assume @p310 (forall @t397 (or @t396 @t395 @t381))) % 0.48/0.86 (assume @p311 (forall @t103 (or @t204 @t101 (not (tptp.c_Wellfounded_Oacyclic @t52 @t1))))) % 0.48/0.86 (assume @p312 (forall @t402 (or @t401 (not (tptp.c_Relation_Osingle__valued @t52 @t1 @t25)) @t400))) % 0.48/0.86 (assume @p313 (forall (@list @t42 @t4 @t25 @t1) (or (not (= @t43 @t10)) @t41))) % 0.48/0.86 (assume @p314 (forall @t268 (or (tptp.c_lessequals @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t267 @t2) @t2) @t304 @t182))) % 0.48/0.86 (assume @p315 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t37 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t338 @t2)))) % 0.48/0.86 (assume @p316 (forall @t166 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t36 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t337 @t2)))) % 0.48/0.86 (assume @p317 (forall @t373 (tptp.c_in @t17 @t91 @t1))) % 0.48/0.86 (assume @p318 (forall @t402 (or (tptp.c_lessequals @t221 (tptp.c_Relation_ODomain @t52 @t1 @t25) @t2) @t400))) % 0.48/0.86 (assume @p319 (forall (@list @t4 @t17 @t1) (or (= @t4 @t91) @t263 (not (tptp.c_lessequals @t4 @t91 @t2))))) % 0.48/0.86 (assume @p320 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t260 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t338 @t2)))) % 0.48/0.86 (assume @p321 (forall (@list @t4 @t25 @t1) (= (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t40 @t39 @t1) @t1 @t25) @t28))) % 0.48/0.86 (assume @p322 (forall @t79 (or @t347 @t247 @t248))) % 0.48/0.86 (assume @p323 (forall (@list @t3 @t36 @t4 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t3 (tptp.c_HOL_Ominus__class_Ominus @t36 @t4 @t2) @t2) @t4) @t184 @t73))) % 0.48/0.86 (assume @p324 (forall @t406 (or @t405 @t404 @t403 @t180))) % 0.48/0.86 (assume @p325 (forall @t406 (or @t405 @t404 @t179 (not @t403)))) % 0.48/0.86 (assume @p326 (forall (@list @t42 @t4 @t1 @t25 @t3) (or (tptp.c_lessequals @t407 (tptp.c_Set_Oimage @t42 @t3 @t1 @t25) @t39) @t73))) % 0.48/0.86 (assume @p327 (forall @t408 (or (not (tptp.c_lessequals @t17 @t4 @t39)) (tptp.c_lessequals (tptp.c_Set_Oimage @t42 @t17 @t25 @t1) @t43 @t2)))) % 0.48/0.86 (assume @p328 (forall (@list @t6 @t36 @t1 @t267) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t6 @t36 @t1) (tptp.c_Set_Oinsert @t6 @t267 @t1) @t2) (not (tptp.c_lessequals @t36 @t267 @t2))))) % 0.48/0.86 (assume @p329 (forall @t287 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t10 @t2) @t10))) % 0.48/0.86 (assume @p330 (forall @t235 (= (tptp.c_Set_Oimage @t42 @t146 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t163 @t2)))) % 0.48/0.86 (assume @p331 (forall @t287 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t1) @t22))) % 0.48/0.86 (assume @p332 (forall (@list @t64 @t25 @t1 @t17 @t121) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t385) (tptp.hAPP (tptp.c_fst @t25 @t1) @t384))) (not (tptp.hBOOL (tptp.hAPP @t409 @t17)))))) % 0.48/0.86 (assume @p333 (forall @t410 (or (not (= @t349 @t10)) (= @t61 @t288)))) % 0.48/0.86 (assume @p334 (forall (@list @t138 @t411 @t1 @t25 @t61 @t4) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t138 @t411 @t1 @t25) @t412 @t39) (not (tptp.c_lessequals @t411 @t4 @t2)) @t139))) % 0.48/0.86 (assume @p335 (forall @t136 (or @t135 @t208))) % 0.48/0.86 (assume @p336 (forall @t196 (or (not (tptp.class_Orderings_Olinorder @t1)) @t179 @t174))) % 0.48/0.86 (assume @p337 (forall @t297 (or @t413 @t324))) % 0.48/0.86 (assume @p338 (forall @t416 (or @t359 @t415 @t281))) % 0.48/0.86 (assume @p339 (forall @t418 (or @t417 @t360))) % 0.48/0.86 (assume @p340 (forall @t425 (or @t66 (tptp.c_in (tptp.c_Pair @t424 @t423 @t1 @t1) @t61 @t20) @t422 @t420))) % 0.48/0.86 (assume @p341 (forall @t429 (or @t421 (tptp.c_in (tptp.c_Pair @t428 @t427 @t1 @t1) @t61 @t20) @t426 @t420))) % 0.48/0.86 (assume @p342 (forall (@list @t6 @t61 @t1 @t4) (or (tptp.c_in @t6 @t214 @t1) @t301 @t208))) % 0.48/0.86 (assume @p343 (forall @t103 (or (tptp.c_lessequals @t230 @t52 @t21) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t230 @t52 @t21) @t61 @t1 @t1 @t1) @t52 @t21)) (not (tptp.c_lessequals @t430 @t52 @t21))))) % 0.48/0.86 (assume @p344 (forall (@list @t6 @t74 @t1 @t61 @t17 @t4) (or @t210 (not (tptp.c_in @t17 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t214 @t213 @t2) @t1)) @t208))) % 0.48/0.86 (assume @p345 (forall (@list @t6 @t74 @t1 @t61 @t4) (or @t210 @t431 (not (tptp.c_lessequals @t213 @t214 @t2)) @t208))) % 0.48/0.86 (assume @p346 (forall @t432 (or (= (tptp.c_Set_Oinsert @t362 @t407 @t25) @t407) @t95))) % 0.48/0.86 (assume @p347 (forall (@list @t42 @t17 @t3 @t1 @t4 @t25) (or (tptp.c_in @t362 @t3 @t1) @t433 (not (tptp.c_lessequals @t43 @t3 @t2))))) % 0.48/0.86 (assume @p348 (forall @t351 (or @t435 (not @t434)))) % 0.48/0.86 (assume @p349 (forall (@list @t74 @t61 @t6 @t25 @t1) (or @t434 (not @t435)))) % 0.48/0.86 (assume @p350 (forall @t90 (or (not (= @t88 @t87)) @t84 @t282))) % 0.48/0.86 (assume @p351 (forall @t361 (or @t62 @t437))) % 0.48/0.86 (assume @p352 (forall @t439 (or @t438 (not (tptp.c_in @t17 @t48 @t20))))) % 0.48/0.86 (assume @p353 (forall @t439 (or @t438 (not (tptp.c_in @t17 @t47 @t20))))) % 0.48/0.86 (assume @p354 (forall (@list @t58 @t52 @t1 @t61) (or (tptp.c_in @t58 (tptp.c_Transitive__Closure_Otrancl @t52 @t1) @t20) @t101 (not @t440)))) % 0.48/0.86 (assume @p355 (forall @t215 (or @t441 @t211 @t208))) % 0.48/0.86 (assume @p356 (forall @t445 (or @t444 @t443 @t208))) % 0.48/0.86 (assume @p357 (forall @t50 (or @t447 (not @t242)))) % 0.48/0.86 (assume @p358 (forall @t243 (or @t242 (not @t447)))) % 0.48/0.86 (assume @p359 (forall @t448 (or (not (= @t446 @t22)) @t148))) % 0.48/0.86 (assume @p360 (forall @t205 (= @t102 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 (tptp.c_Relation_Orel__comp @t102 @t61 @t1 @t1 @t1) @t21)))) % 0.48/0.86 (assume @p361 (forall @t448 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t430 @t21) @t48))) % 0.48/0.86 (assume @p362 (forall @t448 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t430 @t21) @t1) @t48))) % 0.48/0.86 (assume @p363 (forall @t287 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t1) @t430))) % 0.48/0.86 (assume @p364 (forall @t205 (= (tptp.c_Transitive__Closure_Ortrancl @t449 @t1) @t230))) % 0.48/0.86 (assume @p365 (forall @t205 (or (tptp.c_Relation_Oantisym @t230 @t1) @t281))) % 0.48/0.86 (assume @p366 (forall @t205 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t61 @t61 @t1 @t1 @t1) @t61 @t21) @t271))) % 0.48/0.86 (assume @p367 (forall @t205 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t279 @t21) @t1))) % 0.48/0.86 (assume @p368 (forall @t205 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t279 @t21) @t1))) % 0.48/0.86 (assume @p369 (forall @t205 (or (tptp.c_Relation_Otrans @t450 @t1) @t271))) % 0.48/0.86 (assume @p370 (forall (@list @t4 @t1 @t3) (= (tptp.c_Relation_OImage @t131 @t3 @t1 @t1) @t5))) % 0.48/0.86 (assume @p371 (forall @t205 (or @t399 (not @t451)))) % 0.48/0.86 (assume @p372 (forall @t205 (or @t451 @t452))) % 0.48/0.86 (assume @p373 (forall @t326 (or @t325 (not @t453)))) % 0.48/0.86 (assume @p374 (forall @t326 (or @t453 @t454))) % 0.48/0.86 (assume @p375 (forall @t205 (or (tptp.c_lessequals @t455 @t61 @t21) @t271 @t225))) % 0.48/0.86 (assume @p376 (forall @t460 (or (tptp.c_in (tptp.c_Pair @t17 @t459 @t1 @t1) @t48 @t20) @t458))) % 0.48/0.86 (assume @p377 (forall @t462 (or (tptp.c_in (tptp.c_Pair @t461 @t121 @t1 @t1) @t48 @t20) @t458))) % 0.48/0.86 (assume @p378 (forall @t418 (or @t417 @t437))) % 0.48/0.86 (assume @p379 (forall @t416 (or @t436 @t415 @t63))) % 0.48/0.86 (assume @p380 (forall @t326 (or @t323 @t454 @t463 @t271))) % 0.48/0.86 (assume @p381 (forall @t205 (or @t465 (not (tptp.c_in (tptp.c_Pair @t464 @t464 @t1 @t1) @t61 @t20))))) % 0.48/0.86 (assume @p382 (forall @t205 (or (tptp.c_Relation_Otrans @t449 @t1) @t452 @t271))) % 0.48/0.86 (assume @p383 (forall @t147 (or (= @t237 @t236) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t32 @t25 @t1) @t1 @t25))))) % 0.48/0.86 (assume @p384 (forall @t205 (or @t413 (tptp.c_in (tptp.c_Pair @t466 @t466 @t1 @t1) @t61 @t20)))) % 0.48/0.86 (assume @p385 (= (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))) % 0.48/0.86 (assume @p386 (forall @t297 (or (tptp.c_lessequals @t61 @t455 @t21) @t134))) % 0.48/0.86 (assume @p387 (forall @t205 (= @t230 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t430 @t467 @t21)))) % 0.48/0.86 (assume @p388 (forall @t205 (= @t468 @t230))) % 0.48/0.86 (assume @p389 (forall @t205 (= (tptp.c_Transitive__Closure_Otrancl @t450 @t1) @t230))) % 0.48/0.86 (assume @p390 (forall @t205 (= @t230 @t468))) % 0.48/0.86 (assume @p391 (forall (@list @t42 @t61 @t17 @t1 @t25 @t354) (or @t355 (tptp.c_in (tptp.c_Pair @t356 @t17 @t1 @t1) @t61 @t20)))) % 0.48/0.86 (assume @p392 (forall (@list @t100 @t4 @t1) (or (= @t100 (tptp.c_Pair @t470 @t470 @t1 @t1)) @t469))) % 0.48/0.86 (assume @p393 (forall (@list @t4 @t100 @t1) (or (tptp.c_in @t470 @t4 @t1) @t469))) % 0.48/0.86 (assume @p394 (forall @t205 (or @t62 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t61 @t1) @t471 @t1))))) % 0.48/0.86 (assume @p395 (forall @t205 (or @t62 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t61 @t1) @t471 @t1))))) % 0.48/0.86 (assume @p396 (forall (@list @t58 @t1) (or (= @t58 (tptp.c_Pair @t472 @t472 @t1 @t1)) (not (tptp.c_in @t58 @t430 @t20))))) % 0.48/0.86 (assume @p397 (forall @t475 (or (tptp.c_in (tptp.c_Pair @t474 @t100 @t29 @t25) @t52 @t30) @t473))) % 0.48/0.86 (assume @p398 (forall @t475 (or (tptp.c_in (tptp.c_Pair @t6 @t474 @t1 @t29) @t61 @t33) @t473))) % 0.48/0.86 (assume @p399 (forall @t480 (or @t479 (tptp.c_in (tptp.c_Pair @t476 @t476 @t1 @t1) @t102 @t20)))) % 0.48/0.86 (assume @p400 (forall @t486 (or (tptp.c_in (tptp.c_Pair @t485 @t119 @t1 @t1) @t102 @t20) @t484 @t483))) % 0.48/0.86 (assume @p401 (forall @t460 (or (tptp.c_in (tptp.c_Pair @t17 @t461 @t1 @t1) @t32 @t20) @t458))) % 0.48/0.86 (assume @p402 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t490 @t494 tptp.t_a tptp.t_a) @t488 @t487) @t493 @t492))) % 0.48/0.86 (assume @p403 (forall @t480 (or @t496 @t281))) % 0.48/0.86 (assume @p404 (forall @t500 (or (tptp.c_in (tptp.c_Pair @t499 @t74 @t1 @t1) @t61 @t20) @t210 @t498))) % 0.48/0.86 (assume @p405 (forall @t500 (or (tptp.c_in (tptp.c_Pair @t6 @t499 @t1 @t1) @t102 @t20) @t210 @t498))) % 0.48/0.86 (assume @p406 (forall @t462 (or (tptp.c_in (tptp.c_Pair @t459 @t121 @t1 @t1) @t32 @t20) @t458))) % 0.48/0.86 (assume @p407 (forall @t501 (or (tptp.c_in (tptp.c_Pair @t17 @t485 @t1 @t1) @t61 @t20) @t484 @t483))) % 0.48/0.86 (assume @p408 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t494 @t489 tptp.t_a tptp.t_a) @t61 @t487) @t493 @t492))) % 0.48/0.86 (assume @p409 (forall @t503 (or @t66 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t346 @t1 @t1) @t61 @t20)) @t63))) % 0.48/0.86 (assume @p410 (forall (@list @t64 @t154 @t121 @t61 @t1) (or (tptp.hBOOL (tptp.hAPP @t64 @t154)) @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t277 @t1 @t1) @t61 @t20)) @t63))) % 0.48/0.86 (assume @p411 (forall (@list @t64 @t504 @t121 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t64 @t504)) @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t150 @t1 @t1) @t32 @t20)) @t149))) % 0.48/0.86 (assume @p412 (forall @t503 (or @t66 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t65 @t1 @t1) @t61 @t20)) @t63))) % 0.48/0.86 (assume @p413 (forall @t500 (or (tptp.c_in (tptp.c_Pair @t505 @t74 @t1 @t1) @t61 @t20) @t321 @t420))) % 0.48/0.86 (assume @p414 (forall @t486 (or (tptp.c_in (tptp.c_Pair @t508 @t119 @t1 @t1) @t230 @t20) @t507 @t506))) % 0.48/0.86 (assume @p415 (forall @t501 (or (tptp.c_in (tptp.c_Pair @t17 @t508 @t1 @t1) @t61 @t20) @t507 @t506))) % 0.48/0.86 (assume @p416 (forall @t425 (or @t66 (tptp.hBOOL (tptp.hAPP @t64 @t423)) @t422 @t420))) % 0.48/0.86 (assume @p417 (forall @t425 (or @t66 (tptp.c_in (tptp.c_Pair @t423 @t74 @t1 @t1) @t230 @t20) @t422 @t420))) % 0.48/0.86 (assume @p418 (forall @t429 (or @t421 (tptp.c_in (tptp.c_Pair @t6 @t428 @t1 @t1) @t230 @t20) @t426 @t420))) % 0.48/0.86 (assume @p419 (forall @t429 (or @t421 (not (tptp.hBOOL (tptp.hAPP @t64 @t427))) @t426 @t420))) % 0.48/0.86 (assume @p420 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t490 @t512 tptp.t_a tptp.t_a) @t509 @t487) @t511 @t510))) % 0.48/0.86 (assume @p421 (forall @t429 (or @t421 (tptp.hBOOL (tptp.hAPP @t64 @t428)) @t426 @t420))) % 0.48/0.86 (assume @p422 (forall @t495 (or (tptp.c_in (tptp.c_Pair @t512 @t489 tptp.t_a tptp.t_a) @t61 @t487) @t511 @t510))) % 0.48/0.86 (assume @p423 (forall @t425 (or @t66 (not (tptp.hBOOL (tptp.hAPP @t64 @t424))) @t422 @t420))) % 0.48/0.86 (assume @p424 (forall @t500 (or (tptp.c_in (tptp.c_Pair @t6 @t505 @t1 @t1) @t230 @t20) @t321 @t420))) % 0.48/0.86 (assume @p425 (forall (@list @t4 @t3 @t100 @t1 @t25) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t4 @t3 @t100 @t1 @t25) @t4 @t1) (not (tptp.c_in @t100 @t513 @t26))))) % 0.48/0.86 (assume @p426 (forall @t448 (or (tptp.c_Wellfounded_OwfP (tptp.c_FunDef_Oin__rel @t32 @t1 @t1) @t1) @t149))) % 0.48/0.86 (assume @p427 (forall @t205 (tptp.c_Relation_Oirrefl @t449 @t1))) % 0.48/0.86 (assume @p428 (forall (@list @t61 @t1 @t17) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t279 @t230 @t21) @t22)) @t496))) % 0.48/0.86 (assume @p429 (forall @t215 (or (not @t441) @t210 @t431 @t208))) % 0.48/0.86 (assume @p430 (forall @t445 (or @t516 @t208 @t442 @t515 @t95))) % 0.48/0.86 (assume @p431 (forall @t445 (or @t444 @t443 @t515 @t95 @t208))) % 0.48/0.86 (assume @p432 (forall @t445 (or @t516 @t515 @t95 @t208 @t442))) % 0.48/0.86 (assume @p433 (forall (@list @t25 @t1 @t32) (= (tptp.c_Set_Oimage @t383 @t32 @t68 @t1) (tptp.c_Relation_ORange @t32 @t25 @t1)))) % 0.48/0.86 (assume @p434 (forall (@list @t6 @t4 @t1 @t74 @t61) (or @t300 @t321 @t296 @t420))) % 0.48/0.86 (assume @p435 (forall (@list @t1 @t25 @t32) (= (tptp.c_Set_Oimage @t53 @t32 @t26 @t1) (tptp.c_Relation_ODomain @t32 @t1 @t25)))) % 0.48/0.86 (assume @p436 (forall @t518 (or (tptp.c_in @t58 @t230 @t20) @t517))) % 0.48/0.86 (assume @p437 (forall @t518 (or @t440 @t517))) % 0.48/0.86 (assume @p438 (forall @t523 (or @t522 @t520 @t211))) % 0.48/0.86 (assume @p439 (forall @t523 (or @t522 @t524 @t420))) % 0.48/0.86 (assume @p440 (forall @t526 (or @t525 @t458 @t283))) % 0.48/0.86 (assume @p441 (forall @t526 (or @t457 @t283 @t527))) % 0.48/0.86 (assume @p442 (forall (@list @t6 @t74 @t1 @t32) (or (tptp.c_in @t209 @t456 @t20) @t321 (not (tptp.c_in @t209 @t48 @t20))))) % 0.48/0.86 (assume @p443 (forall @t418 (or @t530 (not @t528)))) % 0.48/0.86 (assume @p444 (forall @t416 (or @t528 (not @t530)))) % 0.48/0.86 (assume @p445 (forall (@list @t119 @t121 @t1 @t61 @t17) (or (tptp.c_in (tptp.c_Pair @t119 @t121 @t1 @t1) @t230 @t20) (tptp.c_in @t531 @t230 @t20) @t506 @t417 (not (tptp.c_Relation_Osingle__valued @t61 @t1 @t1))))) % 0.48/0.86 (assume @p446 (forall @t532 (or @t419 @t498))) % 0.48/0.86 (assume @p447 (forall @t523 (or @t522 @t520 @t498))) % 0.48/0.86 (assume @p448 (forall @t533 (or @t482 (not (tptp.c_in @t531 @t102 @t20)) @t417))) % 0.48/0.86 (assume @p449 (forall @t418 (or @t537 (not @t535)))) % 0.48/0.86 (assume @p450 (forall @t418 (or @t535 (not @t537)))) % 0.48/0.86 (assume @p451 (forall (@list @t42 @t25 @t29 @t1 @t6 @t74) (= (tptp.hAPP (tptp.c_split @t42 @t25 @t29 @t1) @t539) @t538))) % 0.48/0.86 (assume @p452 (forall (@list @t42 @t1 @t25 @t29 @t6 @t74) (= (tptp.hAPP @t540 @t222) @t538))) % 0.48/0.86 (assume @p453 (forall (@list @t32 @t6 @t74 @t100 @t1 @t25 @t29) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t32 @t6) @t74) @t100)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t32 @t1 @t25 @t241) @t222) @t100)))))) % 0.48/0.86 (assume @p454 (forall @t432 (or (tptp.c_in @t362 @t407 @t25) @t95))) % 0.48/0.86 (assume @p455 (forall (@list @t42 @t17 @t4 @t25 @t1) (or @t541 @t433))) % 0.48/0.86 (assume @p456 (forall @t408 (or @t433 @t541))) % 0.48/0.86 (assume @p457 (forall (@list @t17 @t4 @t542 @t42 @t1) (or (not (tptp.c_in @t17 @t4 @t542)) (tptp.c_in @t362 (tptp.c_Set_Oimage @t42 @t4 @t542 @t1) @t1)))) % 0.48/0.86 (assume @p458 (forall @t544 (or @t543 @t63))) % 0.48/0.86 (assume @p459 (forall @t132 (tptp.c_Relation_Osingle__valued @t131 @t1 @t1))) % 0.48/0.86 (assume @p460 (forall @t548 (or (tptp.c_in @t547 @t4 @t25) @t546))) % 0.48/0.86 (assume @p461 (forall @t205 (or (tptp.c_Relation_Osym @t102 @t1) @t225))) % 0.48/0.86 (assume @p462 (forall @t67 (or @t66 (not (tptp.hBOOL (tptp.hAPP @t64 @t551))) @t550))) % 0.48/0.86 (assume @p463 (forall @t205 (or (= @t102 @t61) @t271))) % 0.48/0.86 (assume @p464 (forall @t555 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t64 @t554))) @t553))) % 0.48/0.86 (assume @p465 (forall @t67 (or @t66 (tptp.c_in @t556 @t471 @t1) @t550))) % 0.48/0.86 (assume @p466 (forall @t205 (or @t224 (not @t557)))) % 0.48/0.86 (assume @p467 (forall @t205 (or @t557 @t225))) % 0.48/0.86 (assume @p468 (forall @t205 (= (tptp.c_Relation_ODomain @t102 @t1 @t1) @t249))) % 0.48/0.86 (assume @p469 (forall @t548 (or (tptp.c_in @t558 @t4 @t25) @t546))) % 0.48/0.86 (assume @p470 (forall @t562 (or (not (tptp.c_in @t561 @t559 @t1)) @t560))) % 0.48/0.86 (assume @p471 (forall @t287 (tptp.c_Relation_Osym @t430 @t1))) % 0.48/0.86 (assume @p472 (forall @t132 (tptp.c_Relation_Otrans @t131 @t1))) % 0.48/0.86 (assume @p473 (forall (@list @t1 @t32 @t25) (= (tptp.c_Relation_Orel__comp @t430 @t32 @t1 @t1 @t25) @t32))) % 0.48/0.86 (assume @p474 (forall @t216 (= (tptp.c_Relation_Orel__comp @t32 (tptp.c_Relation_OId @t25) @t1 @t25 @t25) @t32))) % 0.48/0.86 (assume @p475 (forall @t132 (tptp.c_Relation_Oantisym @t131 @t1))) % 0.48/0.86 (assume @p476 (forall @t205 (or (tptp.c_Wellfounded_Owf @t536 @t1) (not (tptp.c_Wellfounded_Owf @t279 @t1))))) % 0.48/0.86 (assume @p477 (forall @t67 (or @t66 (not (tptp.hBOOL (tptp.hAPP @t64 @t556))) @t550))) % 0.48/0.86 (assume @p478 (forall @t326 (or @t133 (not @t563)))) % 0.48/0.86 (assume @p479 (forall @t326 (or @t563 @t134))) % 0.48/0.86 (assume @p480 (forall @t205 (or (tptp.c_Relation_Osym @t230 @t1) @t225))) % 0.48/0.86 (assume @p481 (forall @t448 (or @t564 @t149))) % 0.48/0.86 (assume @p482 (forall @t448 (or @t148 (not @t564)))) % 0.48/0.86 (assume @p483 (forall @t24 (= (tptp.c_Relation_OImage @t430 @t4 @t1 @t1) @t4))) % 0.48/0.86 (assume @p484 (forall @t287 (tptp.c_Relation_Osingle__valued @t430 @t1 @t1))) % 0.48/0.86 (assume @p485 (forall @t132 (= (tptp.c_Relation_ODomain @t131 @t1 @t1) @t4))) % 0.48/0.86 (assume @p486 (forall @t205 (or @t565 @t225))) % 0.48/0.86 (assume @p487 (forall @t205 (or (not @t565) @t224))) % 0.48/0.86 (assume @p488 (forall @t205 (= (tptp.c_Relation_ORange @t102 @t1 @t1) (tptp.c_Relation_ORange @t61 @t1 @t1)))) % 0.48/0.86 (assume @p489 (forall @t205 (tptp.c_Relation_Otrans @t102 @t1))) % 0.48/0.86 (assume @p490 (forall (@list @t61 @t52 @t25 @t29 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t61 @t52 @t25 @t29 @t1) @t25 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t52 @t29 @t1) (tptp.c_Relation_Oconverse @t61 @t25 @t29) @t1 @t29 @t25)))) % 0.48/0.86 (assume @p491 (forall @t132 (tptp.c_Relation_Osym @t131 @t1))) % 0.48/0.86 (assume @p492 (forall @t132 (tptp.c_Relation_Orefl__on @t4 @t131 @t1))) % 0.48/0.86 (assume @p493 (forall @t567 (or (tptp.c_Wellfounded_Owf @t566 @t25) @t63))) % 0.48/0.86 (assume @p494 (forall @t205 (= @t568 @t467))) % 0.48/0.86 (assume @p495 (forall @t567 (or (tptp.c_Relation_Osym @t566 @t25) @t225))) % 0.48/0.86 (assume @p496 (forall @t448 (= (tptp.c_Transitive__Closure_Otrancl @t48 @t1) @t48))) % 0.48/0.86 (assume @p497 (forall @t205 (tptp.c_Relation_Otrans @t230 @t1))) % 0.48/0.86 (assume @p498 (forall @t205 (or @t270 (not @t569)))) % 0.48/0.86 (assume @p499 (forall @t205 (or @t569 @t271))) % 0.48/0.86 (assume @p500 (forall @t287 (= (tptp.c_Relation_Oconverse @t430 @t1 @t1) @t430))) % 0.48/0.86 (assume @p501 (forall @t205 (or (tptp.c_Wellfounded_Owf @t102 @t1) @t63))) % 0.48/0.86 (assume @p502 (forall (@list @t32 @t44 @t1 @t570 @t29 @t331 @t25) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t32 @t44 @t1 @t570 @t29) @t331 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t32 (tptp.c_Relation_Orel__comp @t44 @t331 @t570 @t29 @t25) @t1 @t570 @t25)))) % 0.48/0.86 (assume @p503 (forall (@list @t32 @t42 @t25 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t32 @t42 @t25 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t32 @t25 @t25) @t42 @t25 @t1)))) % 0.48/0.86 (assume @p504 (forall @t205 (= @t534 @t536))) % 0.48/0.86 (assume @p505 (forall @t567 (or (tptp.c_Relation_Otrans @t566 @t25) @t271))) % 0.48/0.86 (assume @p506 (forall @t132 (= (tptp.c_Relation_Oconverse @t131 @t1 @t1) @t131))) % 0.48/0.86 (assume @p507 (forall @t205 (or (not @t571) (tptp.c_Equiv__Relations_Oequiv @t249 @t61 @t1)))) % 0.48/0.86 (assume @p508 (forall @t287 (tptp.c_Relation_Oantisym @t430 @t1))) % 0.48/0.86 (assume @p509 (forall @t344 (= (tptp.c_Relation_ORange @t572 @t25 @t1) @t221))) % 0.48/0.86 (assume @p510 (forall (@list @t153 @t61 @t1 @t154) (or (tptp.c_in @t574 @t153 @t1) @t573 @t63))) % 0.48/0.86 (assume @p511 (forall @t132 (= (tptp.c_Relation_ORange @t131 @t1 @t1) @t4))) % 0.48/0.86 (assume @p512 (forall (@list @t61 @t52 @t1 @t25 @t29) (or (tptp.c_Relation_Osingle__valued @t143 @t1 @t29) (not (tptp.c_Relation_Osingle__valued @t52 @t25 @t29)) @t575))) % 0.48/0.86 (assume @p513 (forall @t344 (= (tptp.c_Relation_Oconverse @t572 @t25 @t1) @t61))) % 0.48/0.86 (assume @p514 (forall @t287 (tptp.c_Relation_Otrans @t430 @t1))) % 0.48/0.86 (assume @p515 (forall @t297 (or @t571 @t208))) % 0.48/0.86 (assume @p516 (forall @t448 (= (tptp.c_Relation_Orel__comp @t48 @t48 @t1 @t1 @t1) @t48))) % 0.48/0.86 (assume @p517 (forall @t205 (or @t399 (not @t576)))) % 0.48/0.86 (assume @p518 (forall @t205 (or @t576 @t452))) % 0.48/0.86 (assume @p519 (forall @t555 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t64 @t577))) @t553))) % 0.48/0.86 (assume @p520 (forall @t326 (or @t133 @t208))) % 0.48/0.86 (assume @p521 (forall @t205 (= @t529 (tptp.c_Relation_Oconverse @t230 @t1 @t1)))) % 0.48/0.86 (assume @p522 (forall (@list @t153 @t32 @t1 @t17) (or (tptp.c_in @t579 @t153 @t1) @t578 @t149))) % 0.48/0.86 (assume @p523 (forall @t297 (or @t224 @t208))) % 0.48/0.86 (assume @p524 (forall @t544 (or @t543 (not (tptp.c_in @t580 @t471 @t1))))) % 0.48/0.86 (assume @p525 (forall (@list @t582 @t42 @t6 @t25 @t29 @t4 @t1 @t581) (or (tptp.c_Equiv__Relations_Ocongruent @t582 @t303 @t25 @t29) @t301 @t583 (not (tptp.c_Equiv__Relations_Oequiv @t4 @t581 @t1))))) % 0.48/0.86 (assume @p526 (forall @t410 (= @t584 @t349))) % 0.48/0.86 (assume @p527 (forall @t205 (= @t102 @t467))) % 0.48/0.86 (assume @p528 (forall @t205 (= @t102 @t568))) % 0.48/0.87 (assume @p529 (forall @t410 (= @t349 @t584))) % 0.48/0.87 (assume @p530 (forall @t326 (or @t325 (not @t585)))) % 0.48/0.87 (assume @p531 (forall @t326 (or @t585 @t454))) % 0.48/0.87 (assume @p532 (forall @t297 (or @t270 @t208))) % 0.48/0.87 (assume @p533 (forall @t67 (or @t66 (tptp.c_in @t551 @t471 @t1) @t550))) % 0.48/0.87 (assume @p534 (forall @t448 (= (tptp.c_Transitive__Closure_Ortrancl @t456 @t1) @t48))) % 0.48/0.87 (assume @p535 (forall @t205 (= (tptp.c_Transitive__Closure_Ortrancl @t230 @t1) @t230))) % 0.48/0.87 (assume @p536 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.48/0.87 (assume @p537 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.48/0.87 (assume @p538 (forall @t548 (or (tptp.c_in (tptp.c_Pair @t547 @t74 @t25 @t1) @t61 @t68) @t546))) % 0.48/0.87 (assume @p539 (forall @t562 (or (tptp.c_in (tptp.c_Pair @t561 @t17 @t1 @t1) @t32 @t20) @t560))) % 0.48/0.87 (assume @p540 (forall @t503 (or @t66 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t556 @t1 @t1) @t61 @t20)) @t550))) % 0.48/0.87 (assume @p541 (forall @t586 (or @t374 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t577 tptp.t_a tptp.t_a) @t61 @t487)) @t553))) % 0.48/0.87 (assume @p542 (forall (@list @t121 @t153 @t1 @t32 @t17) (or @t587 (not (tptp.c_in (tptp.c_Pair @t121 @t579 @t1 @t1) @t32 @t20)) @t578 @t149))) % 0.48/0.87 (assume @p543 (forall (@list @t74 @t61 @t1 @t25) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t74 @t61 @t1 @t25) @t74 @t25 @t1) @t61 @t68) (not (tptp.c_in @t74 @t349 @t1))))) % 0.48/0.87 (assume @p544 (forall @t544 (or @t543 (tptp.c_in (tptp.c_Pair @t580 @t17 @t1 @t1) @t61 @t20)))) % 0.48/0.87 (assume @p545 (forall @t591 (or @t590 @t550 @t589))) % 0.48/0.87 (assume @p546 (forall @t591 (or @t590 @t589 @t550))) % 0.48/0.87 (assume @p547 (forall @t594 (or @t374 @t593 (not (tptp.c_in (tptp.c_Pair @t592 @t554 tptp.t_a tptp.t_a) @t61 @t487)) @t553))) % 0.48/0.87 (assume @p548 (forall (@list @t17 @t32 @t1) (or @t596 @t595))) % 0.48/0.87 (assume @p549 (forall @t586 (or @t374 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t554 tptp.t_a tptp.t_a) @t61 @t487)) @t553))) % 0.48/0.87 (assume @p550 (forall (@list @t42 @t6 @t74 @t1 @t25 @t29 @t4) (or (tptp.c_in @t538 (tptp.c_Set_Oimage @t540 @t4 @t26 @t29) @t29) (not (tptp.c_in @t222 @t4 @t26))))) % 0.48/0.87 (assume @p551 (forall @t599 (or (tptp.c_in (tptp.c_Pair @t6 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t6 @t61 @t1 @t25) @t1 @t25) @t61 @t26) @t598))) % 0.48/0.87 (assume @p552 (forall @t594 (or @t374 @t593 (not (tptp.c_in (tptp.c_Pair @t592 @t577 tptp.t_a tptp.t_a) @t61 @t487)) @t553))) % 0.48/0.87 (assume @p553 (forall @t503 (or @t66 @t502 (not (tptp.c_in (tptp.c_Pair @t121 @t551 @t1 @t1) @t61 @t20)) @t550))) % 0.48/0.87 (assume @p554 (forall (@list @t121 @t153 @t1 @t61 @t154) (or @t587 (not (tptp.c_in (tptp.c_Pair @t121 @t574 @t1 @t1) @t61 @t20)) @t573 @t63))) % 0.48/0.87 (assume @p555 (forall @t599 (or (tptp.c_in (tptp.c_Pair @t6 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t6 @t61 @t1 @t25) @t1 @t25) @t61 @t26) @t598))) % 0.48/0.87 (assume @p556 (forall @t548 (or (tptp.c_in (tptp.c_Pair @t558 @t74 @t25 @t1) @t61 @t68) @t546))) % 0.48/0.87 (assume @p557 (forall @t526 (or @t283 @t527 @t596))) % 0.48/0.87 (assume @p558 (forall @t599 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t6 @t61 @t1 @t25) @t6 @t25 @t1) @t61 @t68) (not @t600)))) % 0.48/0.87 (assume @p559 (forall (@list @t119 @t100 @t25 @t29 @t1 @t6 @t74) (or (tptp.c_in @t119 (tptp.hAPP (tptp.c_split @t100 @t25 @t29 @t2) @t539) @t1) (not (tptp.c_in @t119 (tptp.hAPP (tptp.hAPP @t100 @t6) @t74) @t1))))) % 0.48/0.87 (assume @p560 (forall (@list @t42 @t602 @t605 @t601 @t604 @t25 @t582 @t1 @t581 @t29) (or (= (tptp.hAPP (tptp.hAPP @t42 @t602) @t605) (tptp.hAPP (tptp.hAPP @t42 @t601) @t604)) (not (tptp.c_in (tptp.c_Pair @t605 @t604 @t25 @t25) @t582 @t603)) (not (tptp.c_in (tptp.c_Pair @t602 @t601 @t1 @t1) @t581 @t20)) @t583))) % 0.48/0.87 (assume @p561 (forall (@list @t121 @t119 @t17 @t1 @t25 @t61) (or @t606 (not (tptp.c_in (tptp.c_Pair @t17 @t119 @t1 @t25) @t61 @t26)) (not (tptp.c_in @t382 @t61 @t26)) @t575))) % 0.48/0.87 (assume @p562 (forall (@list @t42 @t32 @t6 @t1 @t25 @t17) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t42 @t32 @t6 @t1 @t25) @t17) @t362) (not (tptp.c_in @t607 @t32 @t20))))) % 0.48/0.87 (assume @p563 (forall (@list @t42 @t61 @t6 @t1 @t25 @t17) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t42 @t61 @t6 @t1 @t25) @t17) @t362) @t608))) % 0.48/0.87 (assume @p564 (forall (@list @t32 @t1 @t25 @t17 @t121) (or @t610 (not @t609)))) % 0.48/0.87 (assume @p565 (forall (@list @t17 @t121 @t1 @t25 @t32) (or @t609 (not @t610)))) % 0.48/0.87 (assume @p566 (forall @t533 (or @t484 @t611 @t443 @t271))) % 0.48/0.87 (assume @p567 (forall @t523 (or (tptp.c_in @t521 @t61 @t20) @t524 @t211 @t271))) % 0.48/0.87 (assume @p568 (forall @t223 (or @t614 (not @t613)))) % 0.48/0.87 (assume @p569 (forall @t616 (or (tptp.c_in @t612 @t572 @t68) @t615))) % 0.48/0.87 (assume @p570 (forall @t616 (or @t613 (not @t614)))) % 0.48/0.87 (assume @p571 (forall @t480 (or @t479 @t463))) % 0.48/0.87 (assume @p572 (forall @t523 (or @t522 @t524 @t498))) % 0.48/0.87 (assume @p573 (forall @t523 (or @t522 @t617 @t211))) % 0.48/0.87 (assume @p574 (forall @t523 (or @t618 @t524 @t420))) % 0.48/0.87 (assume @p575 (forall @t523 (or @t618 @t520 @t211))) % 0.48/0.87 (assume @p576 (forall @t532 (or @t497 @t211))) % 0.48/0.87 (assume @p577 (forall @t523 (or @t618 @t520 @t420))) % 0.48/0.87 (assume @p578 (forall @t620 (tptp.c_in @t619 @t230 @t20))) % 0.48/0.87 (assume @p579 (forall (@list @t17 @t1 @t32) @t595)) % 0.48/0.87 (assume @p580 (forall (@list @t17 @t6 @t1 @t61) (or @t608 (not (tptp.c_in (tptp.c_Pair @t6 @t17 @t1 @t1) @t61 @t20)) @t63))) % 0.48/0.87 (assume @p581 (forall @t418 (or @t283 @t622 @t443 @t452))) % 0.48/0.87 (assume @p582 (forall @t532 (or @t321 (not @t623) @t211 @t452))) % 0.48/0.87 (assume @p583 (forall (@list @t42 @t121 @t119 @t1 @t61 @t25) (or (= @t624 (tptp.hAPP @t42 @t119)) @t611 (not (tptp.c_Equiv__Relations_Ocongruent @t61 @t42 @t1 @t25))))) % 0.48/0.87 (assume @p584 (forall (@list @t17 @t121 @t1 @t4) (or @t283 @t625))) % 0.48/0.87 (assume @p585 (forall (@list @t42 @t61 @t17 @t1 @t25 @t354 @t121) (or (not @t355) (= @t624 (tptp.hAPP @t354 @t121)) @t622))) % 0.48/0.87 (assume @p586 (forall (@list @t6 @t74 @t1) (or @t321 (not (tptp.c_in @t209 @t430 @t20))))) % 0.48/0.87 (assume @p587 (forall @t480 (or @t478 (not @t465)))) % 0.48/0.87 (assume @p588 (forall @t620 (or (not @t626) @t63))) % 0.48/0.87 (assume @p589 (forall (@list @t17 @t121 @t1 @t61 @t42 @t25) (or @t628 (not @t627)))) % 0.48/0.87 (assume @p590 (forall (@list @t42 @t17 @t121 @t25 @t61 @t1) (or @t627 (not @t628)))) % 0.48/0.87 (assume @p591 (forall @t416 (or @t621 @t443 @t225))) % 0.48/0.87 (assume @p592 (forall (@list @t74 @t6 @t1 @t61) (or @t623 @t211 @t225))) % 0.48/0.87 (assume @p593 (forall (@list @t6 @t100 @t1 @t29 @t61 @t52 @t25 @t74) (or (tptp.c_in (tptp.c_Pair @t6 @t100 @t1 @t29) @t143 @t33) (not (tptp.c_in (tptp.c_Pair @t74 @t100 @t25 @t29) @t52 @t140)) @t615))) % 0.48/0.87 (assume @p594 (forall (@list @t6 @t100 @t1 @t32 @t74) (or (tptp.c_in @t521 @t456 @t20) (not (tptp.c_in @t519 @t32 @t20)) (not (tptp.c_in @t209 @t32 @t20))))) % 0.48/0.87 (assume @p595 (forall @t523 (or @t522 @t617 @t498))) % 0.48/0.87 (assume @p596 (forall @t373 (tptp.c_in @t477 @t430 @t20))) % 0.48/0.87 (assume @p597 (forall @t376 (tptp.c_in @t619 @t430 @t20))) % 0.48/0.87 (assume @p598 (forall @t636 (or @t635 @t633 @t283 @t507))) % 0.48/0.87 (assume @p599 (forall @t636 (or @t635 @t633 @t606 @t507))) % 0.48/0.87 (assume @p600 (forall @t639 (not (tptp.c_in @t638 @t637 @t629)))) % 0.48/0.87 (assume @p601 (forall @t640 (not (tptp.c_in @t631 @t637 @t629)))) % 0.48/0.87 (assume @p602 (forall @t636 (or @t632 @t606 (not @t635)))) % 0.48/0.87 (assume @p603 (forall @t640 (or @t283 @t219 (tptp.c_in @t631 @t642 @t629)))) % 0.48/0.87 (assume @p604 (forall @t639 (not (tptp.c_in @t638 @t642 @t629)))) % 0.48/0.87 (assume @p605 (forall @t644 (not (tptp.c_in @t643 @t642 @t629)))) % 0.48/0.87 (assume @p606 (forall @t636 (or @t645 @t633 @t283 @t606))) % 0.48/0.87 (assume @p607 (forall @t636 (or @t645 @t633 @t507 @t606))) % 0.48/0.87 (assume @p608 (forall @t644 (or @t646 @t646 (tptp.c_in @t643 @t637 @t629)))) % 0.48/0.87 (assume @p609 (forall @t636 (or @t632 @t507 (not @t645)))) % 0.48/0.87 (assume @p610 (forall (@list @t6 @t74) (or (tptp.c_in (tptp.c_Pair @t6 @t74 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t6 @t74) @t629) @t321))) % 0.48/0.87 (assume @p611 (forall (@list @t6 @t74 @t1 @t25 @t4 @t3) (or @t648 (not @t647) @t301))) % 0.48/0.87 (assume @p612 (forall (@list @t6 @t61 @t1 @t74) (or @t549 @t211 (not @t590)))) % 0.48/0.87 (assume @p613 (forall (@list @t121 @t61 @t1 @t6) (or (tptp.c_in @t121 @t471 @t1) (not (tptp.c_in (tptp.c_Pair @t121 @t6 @t1 @t1) @t61 @t20)) @t550))) % 0.48/0.87 (assume @p614 (forall (@list @t74 @t61 @t4 @t1 @t25 @t6) (or (tptp.c_in @t74 @t412 @t25) @t615 @t301))) % 0.48/0.87 (assume @p615 (forall (@list @t74 @t61 @t4 @t25 @t1 @t17) (or @t545 (not (tptp.c_in (tptp.c_Pair @t17 @t74 @t25 @t1) @t61 @t68)) @t433))) % 0.48/0.87 (assume @p616 (forall (@list @t17 @t4 @t1 @t121) (or @t94 @t625))) % 0.48/0.87 (assume @p617 (forall (@list @t17 @t1 @t4) (or (tptp.c_in @t477 @t131 @t20) @t95))) % 0.48/0.87 (assume @p618 (forall @t649 (or @t514 @t443 @t208))) % 0.48/0.87 (assume @p619 (forall @t650 (or @t94 @t443 @t208))) % 0.48/0.87 (assume @p620 (forall (@list @t6 @t61 @t25 @t1 @t17) (or @t600 (not (tptp.c_in (tptp.c_Pair @t17 @t6 @t25 @t1) @t61 @t68))))) % 0.48/0.87 (assume @p621 (forall (@list @t74 @t61 @t1 @t25 @t6) (or (tptp.c_in @t74 (tptp.c_Relation_ORange @t61 @t1 @t25) @t25) @t615))) % 0.48/0.87 (assume @p622 (forall (@list @t6 @t61 @t1 @t25 @t17) (or @t597 (not (tptp.c_in (tptp.c_Pair @t6 @t17 @t1 @t25) @t61 @t26))))) % 0.48/0.87 (assume @p623 (forall (@list @t6 @t61 @t1 @t25 @t74) (or @t597 @t615))) % 0.48/0.87 (assume @p624 (forall (@list @t74 @t3 @t6 @t25 @t1 @t4) (or @t647 @t651))) % 0.48/0.87 (assume @p625 (forall (@list @t6 @t4 @t1 @t74 @t25 @t3) (or @t300 @t651))) % 0.48/0.87 (assume @p626 (forall (@list @t154 @t17 @t1 @t61 @t4) (or (tptp.c_in (tptp.c_Pair @t154 @t17 @t1 @t1) @t61 @t20) (tptp.c_in (tptp.c_Pair @t17 @t154 @t1 @t1) @t61 @t20) (= @t17 @t154) (not (tptp.c_in @t154 @t4 @t1)) @t95 @t454))) % 0.48/0.87 (assume @p627 (forall (@list @t17 @t1 @t61 @t4) (or @t478 @t95 @t134))) % 0.48/0.87 (assume @p628 (forall @t649 (or @t514 @t443 @t134))) % 0.48/0.87 (assume @p629 (forall @t650 (or @t94 @t443 @t134))) % 0.48/0.87 (assume @p630 (forall (@list @t6 @t1 @t61 @t4) (or @t626 @t301 @t134))) % 0.48/0.87 (assume @p631 (forall @t655 (or @t654 (= @t74 @t652)))) % 0.48/0.87 (assume @p632 (forall @t655 (or @t654 (= @t6 @t653)))) % 0.48/0.87 (assume @p633 (forall (@list @t17 @t44 @t1) (or @t657 (not @t656)))) % 0.48/0.87 (assume @p634 (forall (@list @t44 @t17 @t1) (or @t656 (not @t657)))) % 0.48/0.87 (assume @p635 (or @t666 (not @t665))) % 0.48/0.87 (assume @p636 (or @t665 @t667)) % 0.48/0.87 (assume @p637 @t665) % 0.48/0.87 (assume @p638 @t667) % 0.48/0.87 (assume @p639 (forall @t672 (or (tptp.class_Lattices_Oupper__semilattice @t671) @t669))) % 0.48/0.87 (assume @p640 (forall @t672 (or (tptp.class_Lattices_Olower__semilattice @t671) @t669))) % 0.48/0.87 (assume @p641 (forall @t672 (or (tptp.class_Lattices_Odistrib__lattice @t671) (not (tptp.class_Lattices_Odistrib__lattice @t668))))) % 0.48/0.87 (assume @p642 (forall @t672 (or (tptp.class_Lattices_Obounded__lattice @t671) (not (tptp.class_Lattices_Obounded__lattice @t668))))) % 0.48/0.87 (assume @p643 (forall @t672 (or (tptp.class_Orderings_Opreorder @t671) (not (tptp.class_Orderings_Opreorder @t668))))) % 0.48/0.87 (assume @p644 (forall @t672 (or (tptp.class_Lattices_Olattice @t671) @t669))) % 0.48/0.87 (assume @p645 (forall @t672 (or (tptp.class_Orderings_Oorder @t671) (not (tptp.class_Orderings_Oorder @t668))))) % 0.48/0.87 (assume @p646 (forall @t672 (or (tptp.class_Orderings_Obot @t671) (not (tptp.class_Orderings_Obot @t668))))) % 0.48/0.87 (assume @p647 (forall @t672 (or (tptp.class_HOL_Oord @t671) (not (tptp.class_HOL_Oord @t668))))) % 0.48/0.87 (assume @p648 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.48/0.87 (assume @p649 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.48/0.87 (assume @p650 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.48/0.87 (assume @p651 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.48/0.87 (assume @p652 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.48/0.87 (assume @p653 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.48/0.87 (assume @p654 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.48/0.87 (assume @p655 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.48/0.87 (assume @p656 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.48/0.87 (assume @p657 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.48/0.87 (assume @p658 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.48/0.87 (assume @p659 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.48/0.87 (assume @p660 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.48/0.87 (assume @p661 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.48/0.87 (assume @p662 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.48/0.87 (assume @p663 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.48/0.87 (assume @p664 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.48/0.87 (assume @p665 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.48/0.87 (assume @p666 (forall @t19 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t673 @t17) @t17)))) % 0.48/0.87 (assume @p667 (forall (@list @t675 @t674 @t1) (or (= @t675 @t674) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t673 @t675) @t674)))))) % 0.48/0.87 (step @p668 :rule chain_m_resolution :premises (@p635 @p637) :args (@t666 @t676 (@list @t665))) % 0.48/0.87 (step @p669 false :rule chain_m_resolution :premises (@p638 @p668) :args (false @t676 (@list @t666))) % 0.48/0.87 ) % 0.48/0.87 % SZS output end Proof % 0.48/0.87 % cvc5 exiting %------------------------------------------------------------------------------