%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT004-1 : 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 : n024.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 08:46:09 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.76s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SCT004-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 09:14:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.76 % SZS status Unsatisfiable % 0.52/0.76 % SZS output start Proof % 0.52/0.79 ( % 0.52/0.79 (declare-sort $$unsorted 0) % 0.52/0.79 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.52/0.79 (declare-const tptp.v_L $$unsorted) % 0.52/0.79 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.t_a $$unsorted) % 0.52/0.79 (declare-const tptp.c_fst (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.v_x $$unsorted) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.tc_bool $$unsorted) % 0.52/0.79 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.v_r $$unsorted) % 0.52/0.79 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.t_b $$unsorted) % 0.52/0.79 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.v_xa $$unsorted) % 0.52/0.79 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_snd (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.79 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.52/0.79 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.52/0.79 (define @t1 () (@var "T_a" $$unsorted)) % 0.52/0.79 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.52/0.79 (define @t3 () (@var "V_B" $$unsorted)) % 0.52/0.79 (define @t4 () (@var "V_A" $$unsorted)) % 0.52/0.79 (define @t5 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.52/0.79 (define @t6 () (@var "V_a" $$unsorted)) % 0.52/0.79 (define @t7 () (tptp.c_Set_Oinsert @t6 @t5 @t1)) % 0.52/0.79 (define @t8 () (tptp.c_Set_Oinsert @t6 @t3 @t1)) % 0.52/0.79 (define @t9 () (tptp.c_Set_Oinsert @t6 @t4 @t1)) % 0.52/0.79 (define @t10 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.52/0.79 (define @t11 () (@list @t6 @t4 @t1)) % 0.52/0.79 (define @t12 () (tptp.c_Set_Oinsert @t6 @t10 @t1)) % 0.52/0.79 (define @t13 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t12 @t2)) % 0.52/0.79 (define @t14 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t8 @t2)) % 0.52/0.79 (define @t15 () (@list @t4 @t6 @t3 @t1)) % 0.52/0.79 (define @t16 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t2)) % 0.52/0.79 (define @t17 () (@var "V_x" $$unsorted)) % 0.52/0.79 (define @t18 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.52/0.79 (define @t19 () (@list @t1 @t17)) % 0.52/0.79 (define @t20 () (tptp.tc_prod @t1 @t1)) % 0.52/0.79 (define @t21 () (tptp.tc_fun @t20 tptp.tc_bool)) % 0.52/0.79 (define @t22 () (tptp.c_Orderings_Obot__class_Obot @t21)) % 0.52/0.79 (define @t23 () (@list @t1 @t3)) % 0.52/0.79 (define @t24 () (@list @t1 @t4)) % 0.52/0.79 (define @t25 () (@var "T_b" $$unsorted)) % 0.52/0.79 (define @t26 () (tptp.tc_prod @t1 @t25)) % 0.52/0.79 (define @t27 () (tptp.tc_fun @t26 tptp.tc_bool)) % 0.52/0.79 (define @t28 () (tptp.c_Orderings_Obot__class_Obot @t27)) % 0.52/0.79 (define @t29 () (@var "T_c" $$unsorted)) % 0.52/0.79 (define @t30 () (tptp.tc_prod @t29 @t25)) % 0.52/0.79 (define @t31 () (tptp.tc_fun @t30 tptp.tc_bool)) % 0.52/0.79 (define @t32 () (@var "V_R" $$unsorted)) % 0.52/0.79 (define @t33 () (tptp.tc_prod @t1 @t29)) % 0.52/0.79 (define @t34 () (tptp.tc_fun @t33 tptp.tc_bool)) % 0.52/0.79 (define @t35 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.52/0.79 (define @t36 () (@var "V_C" $$unsorted)) % 0.52/0.79 (define @t37 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t36 @t2)) % 0.52/0.79 (define @t38 () (@list @t6 @t3 @t1 @t36)) % 0.52/0.79 (define @t39 () (@var "V_S" $$unsorted)) % 0.52/0.79 (define @t40 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t39 @t21)) % 0.52/0.79 (define @t41 () (tptp.c_Transitive__Closure_Ortrancl @t40 @t1)) % 0.52/0.79 (define @t42 () (tptp.c_Transitive__Closure_Ortrancl @t39 @t1)) % 0.52/0.79 (define @t43 () (tptp.c_Transitive__Closure_Ortrancl @t32 @t1)) % 0.52/0.79 (define @t44 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t42 @t21)) % 0.52/0.79 (define @t45 () (@list @t32 @t1 @t39)) % 0.52/0.79 (define @t46 () (@var "V_t" $$unsorted)) % 0.52/0.79 (define @t47 () (@var "V_s" $$unsorted)) % 0.52/0.79 (define @t48 () (tptp.c_fst @t1 @t25)) % 0.52/0.79 (define @t49 () (tptp.hAPP @t48 @t46)) % 0.52/0.79 (define @t50 () (tptp.c_snd @t1 @t25)) % 0.52/0.79 (define @t51 () (tptp.hAPP @t50 @t46)) % 0.52/0.79 (define @t52 () (@var "V_q" $$unsorted)) % 0.52/0.79 (define @t53 () (@var "V_p" $$unsorted)) % 0.52/0.79 (define @t54 () (tptp.hAPP @t48 @t53)) % 0.52/0.79 (define @t55 () (tptp.hAPP @t50 @t53)) % 0.52/0.79 (define @t56 () (@var "V_r" $$unsorted)) % 0.52/0.79 (define @t57 () (tptp.c_Wellfounded_Owf @t56 @t1)) % 0.52/0.79 (define @t58 () (not @t57)) % 0.52/0.79 (define @t59 () (@var "V_P" $$unsorted)) % 0.52/0.79 (define @t60 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t59 @t56 @t1)) % 0.52/0.79 (define @t61 () (tptp.hBOOL (tptp.hAPP @t59 @t6))) % 0.52/0.79 (define @t62 () (@list @t59 @t6 @t56 @t1)) % 0.52/0.79 (define @t63 () (tptp.tc_prod @t25 @t1)) % 0.52/0.79 (define @t64 () (tptp.tc_fun @t63 tptp.tc_bool)) % 0.52/0.79 (define @t65 () (tptp.c_Relation_ORange @t3 @t25 @t1)) % 0.52/0.79 (define @t66 () (tptp.c_Relation_ORange @t4 @t25 @t1)) % 0.52/0.79 (define @t67 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.52/0.79 (define @t68 () (not @t67)) % 0.52/0.79 (define @t69 () (@var "V_b" $$unsorted)) % 0.52/0.79 (define @t70 () (tptp.c_Set_Oinsert @t69 @t3 @t1)) % 0.52/0.79 (define @t71 () (tptp.c_Set_Oinsert @t17 @t4 @t1)) % 0.52/0.79 (define @t72 () (tptp.c_lessequals @t71 @t3 @t2)) % 0.52/0.79 (define @t73 () (not @t72)) % 0.52/0.79 (define @t74 () (@list @t4 @t3 @t1 @t17)) % 0.52/0.79 (define @t75 () (tptp.hBOOL (tptp.c_in @t17 @t3 @t1))) % 0.52/0.79 (define @t76 () (not @t75)) % 0.52/0.79 (define @t77 () (tptp.c_HOL_Ominus__class_Ominus @t71 @t3 @t2)) % 0.52/0.79 (define @t78 () (@list @t17 @t4 @t1 @t3)) % 0.52/0.79 (define @t79 () (not (tptp.hBOOL (tptp.c_in @t17 @t36 @t1)))) % 0.52/0.79 (define @t80 () (tptp.tc_fun @t25 tptp.tc_bool)) % 0.52/0.79 (define @t81 () (tptp.c_lessequals @t4 @t3 @t80)) % 0.52/0.79 (define @t82 () (tptp.c_COMBK @t36 @t2 @t25)) % 0.52/0.79 (define @t83 () (tptp.c_Product__Type_OSigma @t3 @t82 @t25 @t1)) % 0.52/0.79 (define @t84 () (tptp.c_Product__Type_OSigma @t4 @t82 @t25 @t1)) % 0.52/0.79 (define @t85 () (tptp.c_lessequals @t84 @t83 @t64)) % 0.52/0.79 (define @t86 () (@list @t4 @t36 @t1 @t25 @t3 @t17)) % 0.52/0.79 (define @t87 () (tptp.c_Set_Oinsert @t17 @t10 @t1)) % 0.52/0.79 (define @t88 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t4 @t87 @t2) @t3 @t2)) % 0.52/0.79 (define @t89 () (not @t88)) % 0.52/0.79 (define @t90 () (tptp.hBOOL (tptp.c_in @t17 @t4 @t1))) % 0.52/0.79 (define @t91 () (not @t90)) % 0.52/0.79 (define @t92 () (tptp.c_Set_Oinsert @t17 @t3 @t1)) % 0.52/0.79 (define @t93 () (tptp.c_lessequals @t4 @t92 @t2)) % 0.52/0.79 (define @t94 () (@list @t4 @t17 @t3 @t1)) % 0.52/0.79 (define @t95 () (not @t93)) % 0.52/0.79 (define @t96 () (not (tptp.c_lessequals @t56 @t47 @t21))) % 0.52/0.79 (define @t97 () (tptp.c_Transitive__Closure_Otrancl @t56 @t1)) % 0.52/0.79 (define @t98 () (@list @t56 @t1 @t47)) % 0.52/0.79 (define @t99 () (@var "V_J" $$unsorted)) % 0.52/0.79 (define @t100 () (tptp.c_Product__Type_OSigma @t99 @t36 @t1 @t25)) % 0.52/0.79 (define @t101 () (@var "V_I" $$unsorted)) % 0.52/0.79 (define @t102 () (tptp.c_Product__Type_OSigma @t101 @t36 @t1 @t25)) % 0.52/0.79 (define @t103 () (@list @t101 @t99 @t1 @t36 @t25)) % 0.52/0.79 (define @t104 () (not (= @t5 @t10))) % 0.52/0.79 (define @t105 () (@list @t4 @t3 @t1)) % 0.52/0.79 (define @t106 () (@var "V_g" $$unsorted)) % 0.52/0.79 (define @t107 () (tptp.hAPP @t106 tptp.v_x)) % 0.52/0.79 (define @t108 () (@var "V_f" $$unsorted)) % 0.52/0.79 (define @t109 () (tptp.hAPP @t108 tptp.v_x)) % 0.52/0.79 (define @t110 () (tptp.tc_fun tptp.t_a @t25)) % 0.52/0.79 (define @t111 () (not (tptp.class_Lattices_Olattice @t25))) % 0.52/0.79 (define @t112 () (@list @t25 @t108 @t106)) % 0.52/0.79 (define @t113 () (tptp.c_Relation_ODomain @t3 @t1 @t25)) % 0.52/0.79 (define @t114 () (tptp.c_Relation_ODomain @t4 @t1 @t25)) % 0.52/0.79 (define @t115 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t4 @t2)) % 0.52/0.79 (define @t116 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 0.52/0.79 (define @t117 () (@list @t3 @t36 @t1 @t4)) % 0.52/0.79 (define @t118 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t36 @t2)) % 0.52/0.79 (define @t119 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t37 @t2)) % 0.52/0.79 (define @t120 () (@list @t4 @t3 @t36 @t1)) % 0.52/0.79 (define @t121 () (@var "V_z" $$unsorted)) % 0.52/0.79 (define @t122 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t121 @t1)) % 0.52/0.79 (define @t123 () (@var "V_y" $$unsorted)) % 0.52/0.79 (define @t124 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t123 @t1)) % 0.52/0.79 (define @t125 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t122 @t1)) % 0.52/0.79 (define @t126 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t121 @t1)) % 0.52/0.79 (define @t127 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t126 @t1)) % 0.52/0.79 (define @t128 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.52/0.79 (define @t129 () (@list @t1 @t17 @t123 @t121)) % 0.52/0.79 (define @t130 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t17 @t1)) % 0.52/0.79 (define @t131 () (@list @t1 @t123 @t121 @t17)) % 0.52/0.79 (define @t132 () (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t4 @t2 @t1) @t1 @t1)) % 0.52/0.79 (define @t133 () (tptp.c_Relation_OId__on @t4 @t1)) % 0.52/0.79 (define @t134 () (@list @t4 @t1)) % 0.52/0.79 (define @t135 () (tptp.c_Relation_Orefl__on @t4 @t56 @t1)) % 0.52/0.79 (define @t136 () (not @t135)) % 0.52/0.79 (define @t137 () (tptp.c_lessequals @t56 @t132 @t21)) % 0.52/0.79 (define @t138 () (@list @t56 @t4 @t1)) % 0.52/0.79 (define @t139 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.52/0.79 (define @t140 () (@var "V_r_H" $$unsorted)) % 0.52/0.79 (define @t141 () (not (tptp.c_lessequals @t140 @t56 @t27))) % 0.52/0.79 (define @t142 () (tptp.tc_prod @t25 @t29)) % 0.52/0.79 (define @t143 () (tptp.tc_fun @t142 tptp.tc_bool)) % 0.52/0.79 (define @t144 () (@var "V_s_H" $$unsorted)) % 0.52/0.79 (define @t145 () (tptp.c_Relation_Orel__comp @t56 @t47 @t1 @t25 @t29)) % 0.52/0.79 (define @t146 () (tptp.c_Relation_OImage @t32 @t4 @t25 @t1)) % 0.52/0.79 (define @t147 () (tptp.c_Relation_OImage @t32 @t3 @t25 @t1)) % 0.52/0.79 (define @t148 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t80)) % 0.52/0.79 (define @t149 () (@list @t32 @t4 @t3 @t25 @t1)) % 0.52/0.79 (define @t150 () (tptp.c_Wellfounded_Owf @t32 @t1)) % 0.52/0.79 (define @t151 () (not @t150)) % 0.52/0.79 (define @t152 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t59 @t32 @t1)) % 0.52/0.79 (define @t153 () (@var "V_Rb" $$unsorted)) % 0.52/0.79 (define @t154 () (tptp.c_Set_Oinsert @t123 @t4 @t1)) % 0.52/0.79 (define @t155 () (@var "V_Q" $$unsorted)) % 0.52/0.79 (define @t156 () (@var "V_xa" $$unsorted)) % 0.52/0.79 (define @t157 () (tptp.c_COMBK @t3 @t80 @t1)) % 0.52/0.79 (define @t158 () (not (tptp.c_lessequals @t56 (tptp.c_Product__Type_OSigma @t4 @t157 @t1 @t25) @t27))) % 0.52/0.79 (define @t159 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t1)) % 0.52/0.79 (define @t160 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.52/0.79 (define @t161 () (@var "V_y_H" $$unsorted)) % 0.52/0.79 (define @t162 () (@var "V_x_H" $$unsorted)) % 0.52/0.79 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t162 @t161 @t1)) % 0.52/0.79 (define @t164 () (tptp.c_Set_Oimage @t108 @t3 @t25 @t1)) % 0.52/0.79 (define @t165 () (tptp.c_Set_Oimage @t108 @t4 @t25 @t1)) % 0.52/0.79 (define @t166 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t36 @t2)) % 0.52/0.79 (define @t167 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t37 @t2)) % 0.52/0.79 (define @t168 () (@list @t4 @t3 @t1 @t36)) % 0.52/0.79 (define @t169 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t126 @t1)) % 0.52/0.79 (define @t170 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t123 @t1)) % 0.52/0.79 (define @t171 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t121 @t1) @t169)) % 0.52/0.79 (define @t172 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t121 @t1)) % 0.52/0.79 (define @t173 () (= @t169 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t172 @t1))) % 0.52/0.79 (define @t174 () (not (tptp.class_Lattices_Olattice @t1))) % 0.52/0.79 (define @t175 () (not (tptp.c_lessequals @t3 @t4 @t2))) % 0.52/0.79 (define @t176 () (tptp.c_lessequals @t17 @t123 @t1)) % 0.52/0.79 (define @t177 () (not @t176)) % 0.52/0.79 (define @t178 () (= @t124 @t17)) % 0.52/0.79 (define @t179 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.52/0.79 (define @t180 () (@list @t1 @t17 @t123)) % 0.52/0.79 (define @t181 () (tptp.c_lessequals @t123 @t17 @t1)) % 0.52/0.79 (define @t182 () (not @t181)) % 0.52/0.79 (define @t183 () (tptp.c_lessequals @t4 @t36 @t2)) % 0.52/0.79 (define @t184 () (not @t183)) % 0.52/0.79 (define @t185 () (tptp.c_lessequals @t3 @t36 @t2)) % 0.52/0.79 (define @t186 () (not @t185)) % 0.52/0.79 (define @t187 () (tptp.c_lessequals @t35 @t36 @t2)) % 0.52/0.79 (define @t188 () (@list @t3 @t4 @t1)) % 0.52/0.79 (define @t189 () (tptp.c_lessequals @t6 @t17 @t1)) % 0.52/0.79 (define @t190 () (not @t189)) % 0.52/0.79 (define @t191 () (tptp.c_lessequals @t69 @t17 @t1)) % 0.52/0.79 (define @t192 () (not @t191)) % 0.52/0.79 (define @t193 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t69 @t1)) % 0.52/0.79 (define @t194 () (tptp.c_lessequals @t193 @t17 @t1)) % 0.52/0.79 (define @t195 () (@list @t1 @t6 @t69 @t17)) % 0.52/0.79 (define @t196 () (tptp.c_lessequals @t17 @t170 @t1)) % 0.52/0.79 (define @t197 () (tptp.c_lessequals @t123 @t170 @t1)) % 0.52/0.79 (define @t198 () (@list @t1 @t123 @t17)) % 0.52/0.79 (define @t199 () (tptp.c_lessequals @t121 @t17 @t1)) % 0.52/0.79 (define @t200 () (tptp.c_lessequals @t17 @t121 @t1)) % 0.52/0.79 (define @t201 () (not @t200)) % 0.52/0.79 (define @t202 () (tptp.c_lessequals @t123 @t121 @t1)) % 0.52/0.79 (define @t203 () (not @t202)) % 0.52/0.79 (define @t204 () (tptp.c_lessequals @t170 @t121 @t1)) % 0.52/0.79 (define @t205 () (= @t124 @t130)) % 0.52/0.79 (define @t206 () (@list @t17 @t4 @t1)) % 0.52/0.79 (define @t207 () (tptp.hBOOL (tptp.hAPP @t154 @t17))) % 0.52/0.79 (define @t208 () (tptp.hBOOL (tptp.hAPP @t4 @t17))) % 0.52/0.79 (define @t209 () (tptp.c_Relation_ODomain @t56 @t1 @t25)) % 0.52/0.79 (define @t210 () (tptp.c_Pair @t6 @t69 @t1 @t25)) % 0.52/0.79 (define @t211 () (@list @t6 @t69 @t1 @t25 @t56)) % 0.52/0.79 (define @t212 () (tptp.c_Relation_Osym @t56 @t1)) % 0.52/0.79 (define @t213 () (not @t212)) % 0.52/0.79 (define @t214 () (not (tptp.c_Relation_Osym @t47 @t1))) % 0.52/0.79 (define @t215 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t47 @t21)) % 0.52/0.79 (define @t216 () (@list @t56 @t47 @t1)) % 0.52/0.79 (define @t217 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t1)) % 0.52/0.79 (define @t218 () (tptp.c_Transitive__Closure_Ortrancl @t56 @t1)) % 0.52/0.79 (define @t219 () (tptp.c_lessequals @t218 @t217 @t21)) % 0.52/0.79 (define @t220 () (@list @t4 @t3 @t1 @t25)) % 0.52/0.79 (define @t221 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.52/0.79 (define @t222 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t80)) % 0.52/0.79 (define @t223 () (@list @t108 @t4 @t3 @t25 @t1)) % 0.52/0.79 (define @t224 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t146 @t147 @t2)) % 0.52/0.79 (define @t225 () (tptp.c_Relation_OImage @t32 @t222 @t25 @t1)) % 0.52/0.79 (define @t226 () (tptp.c_lessequals @t36 @t4 @t2)) % 0.52/0.79 (define @t227 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t36 @t2) @t119)) % 0.52/0.79 (define @t228 () (not @t226)) % 0.52/0.79 (define @t229 () (tptp.tc_fun @t29 tptp.tc_bool)) % 0.52/0.79 (define @t230 () (tptp.c_Wellfounded_Owf @t40 @t1)) % 0.52/0.79 (define @t231 () (@list @t32 @t39 @t1)) % 0.52/0.79 (define @t232 () (tptp.hBOOL (tptp.hAPP @t35 @t17))) % 0.52/0.79 (define @t233 () (tptp.hBOOL (tptp.hAPP @t3 @t17))) % 0.52/0.79 (define @t234 () (@list @t3 @t17 @t4 @t1)) % 0.52/0.79 (define @t235 () (not @t233)) % 0.52/0.79 (define @t236 () (not @t208)) % 0.52/0.79 (define @t237 () (tptp.c_COMBK @t36 @t80 @t1)) % 0.52/0.79 (define @t238 () (tptp.c_Product__Type_OSigma @t3 @t237 @t1 @t25)) % 0.52/0.79 (define @t239 () (tptp.c_Product__Type_OSigma @t4 @t237 @t1 @t25)) % 0.52/0.79 (define @t240 () (@list @t4 @t3 @t1 @t36 @t25)) % 0.52/0.79 (define @t241 () (not (tptp.c_Relation_Orefl__on @t3 @t47 @t1))) % 0.52/0.79 (define @t242 () (@list @t4 @t3 @t1 @t56 @t47)) % 0.52/0.79 (define @t243 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t121 @t1)) % 0.52/0.79 (define @t244 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t243 @t1)) % 0.52/0.79 (define @t245 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t121 @t1) @t244)) % 0.52/0.79 (define @t246 () (= @t244 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t122 @t1))) % 0.52/0.79 (define @t247 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t36 @t2)) % 0.52/0.79 (define @t248 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t247 @t2)) % 0.52/0.79 (define @t249 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t69 @t3 @t25) @t80 @t1)) % 0.52/0.79 (define @t250 () (@list @t36 @t4 @t3 @t1)) % 0.52/0.79 (define @t251 () (tptp.c_HOL_Ominus__class_Ominus @t118 @t247 @t2)) % 0.52/0.79 (define @t252 () (tptp.c_Orderings_Obot__class_Obot @t80)) % 0.52/0.79 (define @t253 () (= @t4 @t252)) % 0.52/0.79 (define @t254 () (@var "V_c" $$unsorted)) % 0.52/0.79 (define @t255 () (tptp.c_COMBK @t254 @t1 @t25)) % 0.52/0.79 (define @t256 () (@var "V_D" $$unsorted)) % 0.52/0.79 (define @t257 () (@list @t4 @t3 @t1 @t36 @t256)) % 0.52/0.79 (define @t258 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t170 @t172 @t1)) % 0.52/0.79 (define @t259 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t243 @t1)) % 0.52/0.79 (define @t260 () (@list @t4 @t36 @t1 @t3)) % 0.52/0.79 (define @t261 () (not (= (tptp.c_Relation_Orel__comp @t4 @t36 @t1 @t1 @t1) @t22))) % 0.52/0.79 (define @t262 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t59 @t56 @t1)) % 0.52/0.79 (define @t263 () (@var "V_xb" $$unsorted)) % 0.52/0.79 (define @t264 () (tptp.c_Relation_Oconverse @t56 @t1 @t1)) % 0.52/0.79 (define @t265 () (tptp.c_Wellfounded_Oacyclic @t264 @t1)) % 0.52/0.79 (define @t266 () (tptp.c_Wellfounded_Oacyclic @t56 @t1)) % 0.52/0.79 (define @t267 () (@list @t56 @t1)) % 0.52/0.79 (define @t268 () (not @t266)) % 0.52/0.79 (define @t269 () (= @t4 @t3)) % 0.52/0.79 (define @t270 () (= @t17 @t123)) % 0.52/0.79 (define @t271 () (not (tptp.class_Orderings_Oorder @t1))) % 0.52/0.79 (define @t272 () (= @t170 @t123)) % 0.52/0.79 (define @t273 () (= @t35 @t3)) % 0.52/0.79 (define @t274 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t47 @t21)) % 0.52/0.79 (define @t275 () (@list @t1)) % 0.52/0.79 (define @t276 () (= @t6 @t254)) % 0.52/0.79 (define @t277 () (@var "V_d" $$unsorted)) % 0.52/0.79 (define @t278 () (= @t6 @t277)) % 0.52/0.79 (define @t279 () (tptp.c_Set_Oinsert @t69 @t10 @t1)) % 0.52/0.79 (define @t280 () (tptp.c_Set_Oinsert @t6 @t279 @t1)) % 0.52/0.79 (define @t281 () (not (= @t280 (tptp.c_Set_Oinsert @t254 (tptp.c_Set_Oinsert @t277 @t10 @t1) @t1)))) % 0.52/0.79 (define @t282 () (@list @t6 @t69 @t1 @t254 @t277)) % 0.52/0.79 (define @t283 () (= @t69 @t254)) % 0.52/0.79 (define @t284 () (= @t69 @t277)) % 0.52/0.79 (define @t285 () (not @t137)) % 0.52/0.79 (define @t286 () (@list @t56 @t1 @t4)) % 0.52/0.79 (define @t287 () (= @t4 @t10)) % 0.52/0.79 (define @t288 () (tptp.hBOOL (tptp.c_in @t6 @t36 @t1))) % 0.52/0.79 (define @t289 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t36 @t2)) % 0.52/0.79 (define @t290 () (tptp.hBOOL (tptp.c_in @t6 @t4 @t1))) % 0.52/0.79 (define @t291 () (not @t290)) % 0.52/0.79 (define @t292 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t8 @t2)) % 0.52/0.79 (define @t293 () (tptp.hAPP @t108 @t6)) % 0.52/0.79 (define @t294 () (not (tptp.c_lessequals @t3 @t256 @t2))) % 0.52/0.79 (define @t295 () (tptp.c_Relation_Oconverse @t47 @t25 @t1)) % 0.52/0.79 (define @t296 () (tptp.c_Relation_Oconverse @t56 @t25 @t1)) % 0.52/0.79 (define @t297 () (@list @t56 @t47 @t25 @t1)) % 0.52/0.79 (define @t298 () (tptp.c_lessequals @t124 @t17 @t1)) % 0.52/0.79 (define @t299 () (tptp.c_lessequals @t124 @t123 @t1)) % 0.52/0.79 (define @t300 () (tptp.c_lessequals @t17 @t243 @t1)) % 0.52/0.79 (define @t301 () (tptp.c_lessequals @t17 @t6 @t1)) % 0.52/0.79 (define @t302 () (not @t301)) % 0.52/0.79 (define @t303 () (tptp.c_lessequals @t17 @t69 @t1)) % 0.52/0.79 (define @t304 () (not @t303)) % 0.52/0.79 (define @t305 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t69 @t1)) % 0.52/0.79 (define @t306 () (tptp.c_lessequals @t17 @t305 @t1)) % 0.52/0.79 (define @t307 () (@list @t1 @t17 @t6 @t69)) % 0.52/0.79 (define @t308 () (tptp.c_lessequals @t36 @t3 @t2)) % 0.52/0.79 (define @t309 () (tptp.c_lessequals @t36 @t5 @t2)) % 0.52/0.79 (define @t310 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t17 @t1)) % 0.52/0.79 (define @t311 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t4 @t2)) % 0.52/0.79 (define @t312 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 0.52/0.79 (define @t313 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t124 @t1) @t124)) % 0.52/0.79 (define @t314 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 @t2)) % 0.52/0.79 (define @t315 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t314 @t2)) % 0.52/0.79 (define @t316 () (tptp.c_Set_Oinsert @t6 @t13 @t1)) % 0.52/0.79 (define @t317 () (= @t6 @t69)) % 0.52/0.79 (define @t318 () (tptp.c_Relation_OField @t56 @t1)) % 0.52/0.79 (define @t319 () (tptp.c_Pair @t6 @t69 @t1 @t1)) % 0.52/0.79 (define @t320 () (@list @t6 @t69 @t1 @t56)) % 0.52/0.79 (define @t321 () (@list @t17 @t3 @t1 @t4)) % 0.52/0.79 (define @t322 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t4 @t56 @t1)) % 0.52/0.79 (define @t323 () (not @t322)) % 0.52/0.79 (define @t324 () (tptp.c_Relation_Ototal__on @t4 @t56 @t1)) % 0.52/0.79 (define @t325 () (@list @t4 @t56 @t1)) % 0.52/0.79 (define @t326 () (not (= @t35 @t10))) % 0.52/0.79 (define @t327 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1) @t18))) % 0.52/0.79 (define @t328 () (@list @t1 @t4 @t3)) % 0.52/0.79 (define @t329 () (@var "V_T" $$unsorted)) % 0.52/0.79 (define @t330 () (tptp.c_Relation_OField @t47 @t1)) % 0.52/0.79 (define @t331 () (not @t309)) % 0.52/0.79 (define @t332 () (not @t306)) % 0.52/0.79 (define @t333 () (tptp.c_lessequals @t305 @t17 @t1)) % 0.52/0.79 (define @t334 () (not @t300)) % 0.52/0.79 (define @t335 () (@list @t1 @t17 @t121 @t123)) % 0.52/0.79 (define @t336 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t36 @t2)) % 0.52/0.79 (define @t337 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t36 @t2)) % 0.52/0.79 (define @t338 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.52/0.79 (define @t339 () (= @t170 @t310)) % 0.52/0.79 (define @t340 () (@var "V_R2" $$unsorted)) % 0.52/0.79 (define @t341 () (@var "V_R1" $$unsorted)) % 0.52/0.79 (define @t342 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t170 @t1) @t170)) % 0.52/0.79 (define @t343 () (@list @t4 @t3 @t25 @t1)) % 0.52/0.79 (define @t344 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t59 @t56 @t1)) % 0.52/0.79 (define @t345 () (tptp.hBOOL (tptp.hAPP @t5 @t17))) % 0.52/0.79 (define @t346 () (not @t345)) % 0.52/0.79 (define @t347 () (tptp.c_Relation_ORange @t56 @t25 @t1)) % 0.52/0.79 (define @t348 () (tptp.c_Pair @t6 @t69 @t25 @t1)) % 0.52/0.79 (define @t349 () (@list @t6 @t69 @t25 @t1 @t56)) % 0.52/0.79 (define @t350 () (tptp.c_lessequals @t4 @t37 @t2)) % 0.52/0.79 (define @t351 () (tptp.c_lessequals @t16 @t36 @t2)) % 0.52/0.79 (define @t352 () (= (tptp.c_Recdef_Ocut @t108 @t56 @t17 @t1 @t25) (tptp.c_Recdef_Ocut @t106 @t56 @t17 @t1 @t25))) % 0.52/0.79 (define @t353 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t108 @t106 @t56 @t17 @t1 @t25)) % 0.52/0.79 (define @t354 () (tptp.c_Pair @t123 @t17 @t1 @t1)) % 0.52/0.79 (define @t355 () (tptp.c_Set_Oinsert @t354 @t56 @t20)) % 0.52/0.79 (define @t356 () (tptp.c_Wellfounded_Oacyclic @t355 @t1)) % 0.52/0.79 (define @t357 () (not @t356)) % 0.52/0.79 (define @t358 () (@list @t56 @t1 @t123 @t17)) % 0.52/0.79 (define @t359 () (tptp.hAPP @t108 @t17)) % 0.52/0.79 (define @t360 () (tptp.hBOOL (tptp.c_in @t254 @t4 @t1))) % 0.52/0.79 (define @t361 () (not @t360)) % 0.52/0.79 (define @t362 () (tptp.hBOOL (tptp.c_in @t254 @t3 @t1))) % 0.52/0.79 (define @t363 () (not @t362)) % 0.52/0.79 (define @t364 () (tptp.hBOOL (tptp.c_in @t254 @t5 @t1))) % 0.52/0.79 (define @t365 () (@list @t254 @t4 @t3 @t1)) % 0.52/0.79 (define @t366 () (tptp.hBOOL (tptp.c_in @t6 (tptp.c_Set_Oinsert @t69 @t4 @t1) @t1))) % 0.52/0.79 (define @t367 () (@list @t254 @t3 @t1 @t4)) % 0.52/0.79 (define @t368 () (tptp.hBOOL (tptp.c_in @t254 @t35 @t1))) % 0.52/0.79 (define @t369 () (tptp.hBOOL (tptp.c_in @t254 @t16 @t1))) % 0.52/0.79 (define @t370 () (not @t369)) % 0.52/0.79 (define @t371 () (@list @t254 @t4 @t1 @t3)) % 0.52/0.79 (define @t372 () (not @t364)) % 0.52/0.79 (define @t373 () (tptp.c_Pair @t17 @t123 @t1 @t25)) % 0.52/0.79 (define @t374 () (tptp.c_snd @t25 @t1)) % 0.52/0.79 (define @t375 () (tptp.c_Pair @t17 @t123 @t25 @t1)) % 0.52/0.79 (define @t376 () (tptp.hAPP @t374 @t375)) % 0.52/0.79 (define @t377 () (not (tptp.hBOOL (tptp.hAPP @t59 @t53)))) % 0.52/0.79 (define @t378 () (not (tptp.hBOOL (tptp.hAPP @t155 @t52)))) % 0.52/0.79 (define @t379 () (tptp.c_Pair @t53 @t52 @t1 @t25)) % 0.52/0.79 (define @t380 () (tptp.c_Relation_Otrans @t56 @t1)) % 0.52/0.79 (define @t381 () (not @t380)) % 0.52/0.79 (define @t382 () (tptp.c_Relation_ORange @t56 @t1 @t1)) % 0.52/0.79 (define @t383 () (tptp.c_Relation_ODomain @t56 @t1 @t1)) % 0.52/0.79 (define @t384 () (not @t204)) % 0.52/0.79 (define @t385 () (tptp.c_lessequals @t17 @t193 @t1)) % 0.52/0.79 (define @t386 () (not @t194)) % 0.52/0.79 (define @t387 () (not @t187)) % 0.52/0.79 (define @t388 () (@list @t17 @t1)) % 0.52/0.79 (define @t389 () (not (tptp.c_lessequals @t59 @t155 @t2))) % 0.52/0.79 (define @t390 () (tptp.hBOOL (tptp.hAPP @t59 @t17))) % 0.52/0.79 (define @t391 () (not @t390)) % 0.52/0.79 (define @t392 () (tptp.hBOOL (tptp.hAPP @t155 @t17))) % 0.52/0.79 (define @t393 () (@list @t155 @t17 @t59 @t1)) % 0.52/0.79 (define @t394 () (tptp.c_lessequals @t17 @t17 @t1)) % 0.52/0.79 (define @t395 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.52/0.79 (define @t396 () (tptp.c_Relation_Oantisym @t56 @t1)) % 0.52/0.79 (define @t397 () (not (tptp.c_lessequals @t56 @t47 @t27))) % 0.52/0.79 (define @t398 () (tptp.c_Relation_Osingle__valued @t56 @t1 @t25)) % 0.52/0.79 (define @t399 () (@list @t56 @t1 @t25 @t47)) % 0.52/0.79 (define @t400 () (tptp.c_lessequals @t161 @t162 @t1)) % 0.52/0.79 (define @t401 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t123 @t1) @t163))) % 0.52/0.79 (define @t402 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.52/0.79 (define @t403 () (@list @t1 @t17 @t123 @t162 @t161)) % 0.52/0.79 (define @t404 () (tptp.c_Set_Oimage @t108 @t4 @t1 @t25)) % 0.52/0.79 (define @t405 () (@list @t17 @t4 @t25 @t108 @t1)) % 0.52/0.79 (define @t406 () (tptp.hAPP @t59 @t123)) % 0.52/0.79 (define @t407 () (@var "V_A_H" $$unsorted)) % 0.52/0.79 (define @t408 () (tptp.c_Relation_OImage @t56 @t4 @t1 @t25)) % 0.52/0.79 (define @t409 () (not (tptp.c_Equiv__Relations_Oequiv @t4 @t56 @t1))) % 0.52/0.79 (define @t410 () (tptp.c_Relation_Oirrefl @t56 @t1)) % 0.52/0.79 (define @t411 () (tptp.c_Pair @t17 @t123 @t1 @t1)) % 0.52/0.79 (define @t412 () (tptp.hBOOL (tptp.c_in @t411 @t218 @t20))) % 0.52/0.79 (define @t413 () (@list @t123 @t17 @t1 @t56)) % 0.52/0.79 (define @t414 () (not @t412)) % 0.52/0.79 (define @t415 () (@list @t17 @t123 @t1 @t56)) % 0.52/0.79 (define @t416 () (tptp.hBOOL (tptp.c_in @t319 @t218 @t20))) % 0.52/0.79 (define @t417 () (not @t416)) % 0.52/0.79 (define @t418 () (tptp.hBOOL (tptp.hAPP @t59 @t69))) % 0.52/0.79 (define @t419 () (not @t418)) % 0.52/0.79 (define @t420 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t59 @t69 @t56 @t1)) % 0.52/0.79 (define @t421 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t59 @t69 @t56 @t1)) % 0.52/0.79 (define @t422 () (@list @t59 @t6 @t69 @t56 @t1)) % 0.52/0.79 (define @t423 () (not @t61)) % 0.52/0.79 (define @t424 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t59 @t6 @t56 @t1)) % 0.52/0.79 (define @t425 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t59 @t6 @t56 @t1)) % 0.52/0.79 (define @t426 () (@list @t59 @t69 @t6 @t56 @t1)) % 0.52/0.79 (define @t427 () (tptp.c_Equiv__Relations_Oquotient @t4 @t56 @t1)) % 0.52/0.79 (define @t428 () (@var "V_X" $$unsorted)) % 0.52/0.79 (define @t429 () (not (tptp.hBOOL (tptp.c_in @t428 @t427 @t2)))) % 0.52/0.79 (define @t430 () (@var "V_Y" $$unsorted)) % 0.52/0.79 (define @t431 () (not (tptp.hBOOL (tptp.c_in @t430 @t427 @t2)))) % 0.52/0.79 (define @t432 () (= @t428 @t430)) % 0.52/0.79 (define @t433 () (tptp.c_Relation_OId @t1)) % 0.52/0.79 (define @t434 () (@list @t108 @t17 @t4 @t1 @t25)) % 0.52/0.79 (define @t435 () (not (tptp.hBOOL (tptp.c_in @t17 @t4 @t25)))) % 0.52/0.79 (define @t436 () (tptp.c_Relation_OImage @t56 @t87 @t1 @t1)) % 0.52/0.79 (define @t437 () (tptp.c_Wellfounded_Owf @t355 @t1)) % 0.52/0.79 (define @t438 () (not @t437)) % 0.52/0.79 (define @t439 () (tptp.hBOOL (tptp.c_in @t17 @t41 @t20))) % 0.52/0.79 (define @t440 () (@list @t17 @t32 @t39 @t1)) % 0.52/0.79 (define @t441 () (tptp.hBOOL (tptp.c_in @t53 @t97 @t20))) % 0.52/0.79 (define @t442 () (@list @t56 @t1 @t25)) % 0.52/0.79 (define @t443 () (tptp.c_Orderings_Obot__class_Obot @t64)) % 0.52/0.79 (define @t444 () (@list @t56 @t25 @t1)) % 0.52/0.79 (define @t445 () (tptp.c_Relation_Orel__comp @t32 @t32 @t1 @t1 @t1)) % 0.52/0.79 (define @t446 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t445 (tptp.c_Relation_Orel__comp @t39 @t32 @t1 @t1 @t1) @t21) @t39 @t21) @t1)) % 0.52/0.79 (define @t447 () (@list @t32 @t1)) % 0.52/0.79 (define @t448 () (tptp.c_HOL_Ominus__class_Ominus @t56 @t433 @t21)) % 0.52/0.79 (define @t449 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t433 @t21)) % 0.52/0.79 (define @t450 () (tptp.c_Relation_Oantisym @t449 @t1)) % 0.52/0.79 (define @t451 () (not @t396)) % 0.52/0.79 (define @t452 () (tptp.c_Relation_Ototal__on @t4 @t448 @t1)) % 0.52/0.79 (define @t453 () (not @t324)) % 0.52/0.79 (define @t454 () (tptp.c_Pair @t69 @t254 @t1 @t1)) % 0.52/0.79 (define @t455 () (not (tptp.hBOOL (tptp.c_in @t454 @t56 @t20)))) % 0.52/0.79 (define @t456 () (tptp.c_Pair @t6 @t254 @t1 @t1)) % 0.52/0.79 (define @t457 () (tptp.hBOOL (tptp.c_in @t456 @t97 @t20))) % 0.52/0.79 (define @t458 () (@list @t6 @t254 @t1 @t56 @t69)) % 0.52/0.79 (define @t459 () (tptp.hBOOL (tptp.c_in @t319 @t56 @t20))) % 0.52/0.79 (define @t460 () (not @t459)) % 0.52/0.79 (define @t461 () (not (tptp.hBOOL (tptp.c_in @t454 @t218 @t20)))) % 0.52/0.79 (define @t462 () (not (tptp.hBOOL (tptp.c_in @t53 @t56 @t20)))) % 0.52/0.79 (define @t463 () (@list @t53 @t56 @t1)) % 0.52/0.79 (define @t464 () (tptp.c_Relation_Oinv__image @t56 @t108 @t1 @t25)) % 0.52/0.79 (define @t465 () (@list @t56 @t108 @t1 @t25)) % 0.52/0.79 (define @t466 () (not (tptp.hBOOL (tptp.c_in @t69 @t4 @t1)))) % 0.52/0.79 (define @t467 () (tptp.c_Relation_OImage @t56 @t279 @t1 @t1)) % 0.52/0.79 (define @t468 () (tptp.c_Relation_OImage @t56 @t12 @t1 @t1)) % 0.52/0.79 (define @t469 () (= @t468 @t467)) % 0.52/0.79 (define @t470 () (not @t469)) % 0.52/0.79 (define @t471 () (@list @t56 @t6 @t1 @t69 @t4)) % 0.52/0.79 (define @t472 () (tptp.hBOOL (tptp.c_in @t123 @t4 @t1))) % 0.52/0.79 (define @t473 () (not @t472)) % 0.52/0.79 (define @t474 () (tptp.hBOOL (tptp.c_in @t411 @t56 @t20))) % 0.52/0.79 (define @t475 () (tptp.c_Set_Oinsert @t123 @t10 @t1)) % 0.52/0.79 (define @t476 () (= @t436 (tptp.c_Relation_OImage @t56 @t475 @t1 @t1))) % 0.52/0.79 (define @t477 () (not @t476)) % 0.52/0.79 (define @t478 () (@list @t56 @t17 @t1 @t123 @t4)) % 0.52/0.79 (define @t479 () (not @t474)) % 0.52/0.79 (define @t480 () (not (tptp.hBOOL (tptp.c_in @t17 @t427 @t2)))) % 0.52/0.79 (define @t481 () (tptp.hBOOL (tptp.c_in @t348 @t56 @t63))) % 0.52/0.79 (define @t482 () (tptp.hBOOL (tptp.c_in @t69 (tptp.c_Relation_OImage @t56 (tptp.c_Set_Oinsert @t6 @t252 @t25) @t25 @t1) @t1))) % 0.52/0.79 (define @t483 () (tptp.c_Relation_Orel__comp @t264 @t56 @t1 @t1 @t1)) % 0.52/0.79 (define @t484 () (tptp.c_Transitive__Closure_Otrancl @t32 @t1)) % 0.52/0.79 (define @t485 () (tptp.hBOOL (tptp.c_in @t411 @t484 @t20))) % 0.52/0.79 (define @t486 () (not @t485)) % 0.52/0.79 (define @t487 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t32 @t17 @t123 @t1)) % 0.52/0.79 (define @t488 () (@list @t17 @t32 @t123 @t1)) % 0.52/0.79 (define @t489 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t32 @t17 @t123 @t1)) % 0.52/0.79 (define @t490 () (@list @t32 @t17 @t123 @t1)) % 0.52/0.79 (define @t491 () (not @t410)) % 0.52/0.79 (define @t492 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t56 @t1)) % 0.52/0.79 (define @t493 () (tptp.c_Nitpick_Orefl_H @t56 @t1)) % 0.52/0.79 (define @t494 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t56 @t1)) % 0.52/0.79 (define @t495 () (tptp.c_Relation_Orel__comp @t218 @t56 @t1 @t1 @t1)) % 0.52/0.79 (define @t496 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t97 @t433 @t21)) % 0.52/0.79 (define @t497 () (not (tptp.hBOOL (tptp.c_in @t254 @t133 @t20)))) % 0.52/0.79 (define @t498 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t4 @t254 @t1)) % 0.52/0.79 (define @t499 () (tptp.c_Wellfounded_Oacc @t56 @t1)) % 0.52/0.79 (define @t500 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t53 @t1)) % 0.52/0.79 (define @t501 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t254 @t1 @t25) (tptp.c_Relation_Orel__comp @t56 @t47 @t1 @t29 @t25) @t26)))) % 0.52/0.79 (define @t502 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t6 @t254 @t56 @t47 @t1 @t25 @t29)) % 0.52/0.79 (define @t503 () (@list @t6 @t254 @t56 @t47 @t1 @t25 @t29)) % 0.52/0.79 (define @t504 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t56 @t1)) % 0.52/0.79 (define @t505 () (tptp.c_Pair @t17 @t17 @t1 @t1)) % 0.52/0.79 (define @t506 () (tptp.hBOOL (tptp.c_in @t505 @t56 @t20))) % 0.52/0.79 (define @t507 () (not @t506)) % 0.52/0.79 (define @t508 () (@list @t17 @t1 @t56)) % 0.52/0.79 (define @t509 () (tptp.c_Pair @t17 @t121 @t1 @t1)) % 0.52/0.79 (define @t510 () (tptp.hBOOL (tptp.c_in @t509 @t97 @t20))) % 0.52/0.79 (define @t511 () (not @t510)) % 0.52/0.79 (define @t512 () (tptp.hBOOL (tptp.c_in @t509 @t56 @t20))) % 0.52/0.79 (define @t513 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t56 @t17 @t121 @t1)) % 0.52/0.79 (define @t514 () (@list @t56 @t17 @t121 @t1)) % 0.52/0.79 (define @t515 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.52/0.79 (define @t516 () (tptp.c_Transitive__Closure_Otrancl @t56 tptp.t_a)) % 0.52/0.79 (define @t517 () (@var "V_a2" $$unsorted)) % 0.52/0.79 (define @t518 () (@var "V_a1" $$unsorted)) % 0.52/0.79 (define @t519 () (tptp.c_Pair @t518 @t517 tptp.t_a tptp.t_a)) % 0.52/0.79 (define @t520 () (not (tptp.hBOOL (tptp.c_in @t519 @t516 @t515)))) % 0.52/0.79 (define @t521 () (tptp.hBOOL (tptp.c_in @t519 @t56 @t515))) % 0.52/0.79 (define @t522 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t518 @t517 @t56)) % 0.52/0.79 (define @t523 () (@list @t518 @t517 @t56)) % 0.52/0.79 (define @t524 () (not (tptp.hBOOL (tptp.c_in @t505 @t97 @t20)))) % 0.52/0.79 (define @t525 () (tptp.hBOOL (tptp.c_in @t319 @t97 @t20))) % 0.52/0.79 (define @t526 () (not @t525)) % 0.52/0.79 (define @t527 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t6 @t69 @t56 @t1)) % 0.52/0.79 (define @t528 () (@list @t6 @t69 @t56 @t1)) % 0.52/0.79 (define @t529 () (@list @t17 @t56 @t121 @t1)) % 0.52/0.79 (define @t530 () (tptp.hBOOL @t406)) % 0.52/0.79 (define @t531 () (@list @t59 @t6 @t123 @t56 @t1)) % 0.52/0.79 (define @t532 () (@var "V_Ra" $$unsorted)) % 0.52/0.79 (define @t533 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t6 @t69 @t56 @t1)) % 0.52/0.79 (define @t534 () (not (tptp.hBOOL (tptp.c_in @t509 @t218 @t20)))) % 0.52/0.79 (define @t535 () (= @t17 @t121)) % 0.52/0.79 (define @t536 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t56 @t17 @t121 @t1)) % 0.52/0.79 (define @t537 () (tptp.c_Transitive__Closure_Ortrancl @t56 tptp.t_a)) % 0.52/0.79 (define @t538 () (not (tptp.hBOOL (tptp.c_in @t519 @t537 @t515)))) % 0.52/0.79 (define @t539 () (= @t517 @t518)) % 0.52/0.79 (define @t540 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t518 @t517 @t56)) % 0.52/0.79 (define @t541 () (tptp.c_Product__Type_OSigma @t4 @t3 @t1 @t25)) % 0.52/0.79 (define @t542 () (= (tptp.c_Equiv__Relations_Oquotient @t87 @t56 @t1) (tptp.c_Equiv__Relations_Oquotient @t475 @t56 @t1))) % 0.52/0.79 (define @t543 () (@list @t17 @t1 @t56 @t123 @t4)) % 0.52/0.79 (define @t544 () (tptp.hBOOL (tptp.c_in @t411 @t43 @t20))) % 0.52/0.79 (define @t545 () (@list @t17 @t123 @t1 @t32)) % 0.52/0.79 (define @t546 () (not @t544)) % 0.52/0.79 (define @t547 () (tptp.hBOOL (tptp.c_in @t354 @t218 @t20))) % 0.52/0.79 (define @t548 () (tptp.c_Transitive__Closure_Ortrancl @t264 @t1)) % 0.52/0.79 (define @t549 () (tptp.hBOOL (tptp.c_in @t411 @t548 @t20))) % 0.52/0.79 (define @t550 () (tptp.c_Pair @t123 @t121 @t1 @t1)) % 0.52/0.79 (define @t551 () (@list @t17 @t121 @t1 @t56 @t123)) % 0.52/0.79 (define @t552 () (tptp.c_Transitive__Closure_Otrancl @t264 @t1)) % 0.52/0.79 (define @t553 () (tptp.hBOOL (tptp.c_in @t411 @t552 @t20))) % 0.52/0.79 (define @t554 () (tptp.c_Relation_Oconverse @t97 @t1 @t1)) % 0.52/0.79 (define @t555 () (tptp.hBOOL (tptp.c_in @t411 @t554 @t20))) % 0.52/0.79 (define @t556 () (tptp.hAPP @t293 @t69)) % 0.52/0.79 (define @t557 () (tptp.c_Pair @t6 @t69 @t25 @t29)) % 0.52/0.79 (define @t558 () (tptp.c_split @t108 @t1 @t25 @t29)) % 0.52/0.79 (define @t559 () (tptp.hBOOL (tptp.c_in @t359 @t165 @t1))) % 0.52/0.79 (define @t560 () (@var "T_aa" $$unsorted)) % 0.52/0.79 (define @t561 () (not (tptp.hBOOL (tptp.c_in @t17 @t10 @t1)))) % 0.52/0.79 (define @t562 () (@list @t59 @t17 @t1)) % 0.52/0.79 (define @t563 () (@list @t6 @t1)) % 0.52/0.79 (define @t564 () (tptp.hBOOL (tptp.c_in @t17 @t499 @t1))) % 0.52/0.79 (define @t565 () (@list @t17 @t56 @t1)) % 0.52/0.79 (define @t566 () (tptp.hBOOL (tptp.c_in @t69 (tptp.c_Relation_OImage @t56 @t4 @t25 @t1) @t1))) % 0.52/0.79 (define @t567 () (not @t566)) % 0.52/0.79 (define @t568 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t4 @t69 @t56 @t25 @t1)) % 0.52/0.79 (define @t569 () (@list @t4 @t69 @t56 @t25 @t1)) % 0.52/0.79 (define @t570 () (tptp.hBOOL (tptp.c_in @t6 @t499 @t1))) % 0.52/0.79 (define @t571 () (not @t570)) % 0.52/0.79 (define @t572 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t59 @t56 @t1)) % 0.52/0.79 (define @t573 () (tptp.c_Wellfounded_Oacc @t56 tptp.t_a)) % 0.52/0.79 (define @t574 () (not (tptp.hBOOL (tptp.c_in @t17 @t573 tptp.t_a)))) % 0.52/0.79 (define @t575 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t59 @t56)) % 0.52/0.79 (define @t576 () (@list @t59 @t17 @t56)) % 0.52/0.79 (define @t577 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t59 @t56 @t1)) % 0.52/0.79 (define @t578 () (tptp.c_Relation_Osym @t264 @t1)) % 0.52/0.79 (define @t579 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t4 @t69 @t56 @t25 @t1)) % 0.52/0.79 (define @t580 () (tptp.c_Set_Oimage @t108 @t252 @t25 @t1)) % 0.52/0.79 (define @t581 () (tptp.c_Wellfounded_Oacc @t32 @t1)) % 0.52/0.79 (define @t582 () (tptp.hBOOL (tptp.c_in @t17 @t581 @t1))) % 0.52/0.79 (define @t583 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t32 @t17 @t1)) % 0.52/0.79 (define @t584 () (@list @t32 @t17 @t1)) % 0.52/0.79 (define @t585 () (@list @t32 @t25 @t1)) % 0.52/0.79 (define @t586 () (tptp.c_Relation_Orefl__on @t4 @t264 @t1)) % 0.52/0.79 (define @t587 () (tptp.c_Wellfounded_Owf @t445 @t1)) % 0.52/0.79 (define @t588 () (= @t264 @t56)) % 0.52/0.79 (define @t589 () (tptp.c_Relation_Orel__comp @t56 @t218 @t1 @t1 @t1)) % 0.52/0.79 (define @t590 () (@var "T_d" $$unsorted)) % 0.52/0.79 (define @t591 () (= @t483 @t56)) % 0.52/0.79 (define @t592 () (tptp.c_Relation_Oconverse @t56 @t1 @t25)) % 0.52/0.79 (define @t593 () (not (tptp.hBOOL (tptp.c_in @t156 @t155 @t1)))) % 0.52/0.79 (define @t594 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t155 @t56 @t1)) % 0.52/0.79 (define @t595 () (not @t398)) % 0.52/0.79 (define @t596 () (tptp.c_Relation_Oantisym @t264 @t1)) % 0.52/0.79 (define @t597 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t59 @t56)) % 0.52/0.79 (define @t598 () (not (tptp.hBOOL (tptp.c_in @t17 @t155 @t1)))) % 0.52/0.79 (define @t599 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t155 @t32 @t1)) % 0.52/0.79 (define @t600 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t56 @t17 @t1)) % 0.52/0.79 (define @t601 () (@var "V_r1" $$unsorted)) % 0.52/0.79 (define @t602 () (@var "V_r2" $$unsorted)) % 0.52/0.79 (define @t603 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t601 @t602 @t108 @t1 @t25 @t29))) % 0.52/0.79 (define @t604 () (tptp.c_Relation_ODomain @t296 @t1 @t25)) % 0.52/0.79 (define @t605 () (tptp.c_Relation_Ototal__on @t4 @t264 @t1)) % 0.52/0.79 (define @t606 () (tptp.c_Relation_Otrans @t264 @t1)) % 0.52/0.79 (define @t607 () (@list @t59 @t17 @t123 @t56)) % 0.52/0.79 (define @t608 () (not (tptp.hBOOL (tptp.c_in @t123 @t155 @t1)))) % 0.52/0.79 (define @t609 () (tptp.c_Pair @t69 @t6 @t1 @t1)) % 0.52/0.79 (define @t610 () (not (tptp.hBOOL (tptp.c_in @t609 @t218 @t20)))) % 0.52/0.79 (define @t611 () (tptp.hBOOL (tptp.c_in @t69 @t499 @t1))) % 0.52/0.79 (define @t612 () (@list @t69 @t56 @t1 @t6)) % 0.52/0.79 (define @t613 () (@var "V_ya" $$unsorted)) % 0.52/0.79 (define @t614 () (tptp.hBOOL (tptp.c_in @t613 @t573 tptp.t_a))) % 0.52/0.79 (define @t615 () (@list @t59 @t17 @t613 @t56)) % 0.52/0.79 (define @t616 () (tptp.hBOOL (tptp.c_in @t505 @t43 @t20))) % 0.52/0.79 (define @t617 () (tptp.hBOOL (tptp.c_in @t17 (tptp.c_Relation_ODomain @t32 @t1 @t1) @t1))) % 0.52/0.79 (define @t618 () (tptp.hBOOL (tptp.c_in @t6 @t209 @t1))) % 0.52/0.79 (define @t619 () (not @t618)) % 0.52/0.79 (define @t620 () (@list @t6 @t56 @t1 @t25)) % 0.52/0.79 (define @t621 () (tptp.hBOOL (tptp.c_in @t6 @t347 @t1))) % 0.52/0.79 (define @t622 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 @t56 @t1)) % 0.52/0.79 (define @t623 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 @t56 @t1)) % 0.52/0.79 (define @t624 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 @t56 @t1)) % 0.52/0.79 (define @t625 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 @t56 @t1)) % 0.52/0.79 (define @t626 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 @t56 @t1)) % 0.52/0.79 (define @t627 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 @t56 @t1)) % 0.52/0.79 (define @t628 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.52/0.79 (define @t629 () (@var "V_L" $$unsorted)) % 0.52/0.79 (define @t630 () (not (tptp.hBOOL (tptp.c_in @t629 tptp.c_Arrow__Order__Mirabelle_OLin (tptp.tc_fun @t628 tptp.tc_bool))))) % 0.52/0.79 (define @t631 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t629 @t628))) % 0.52/0.79 (define @t632 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t123 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t629 @t628))) % 0.52/0.79 (define @t633 () (@var "V_z1" $$unsorted)) % 0.52/0.79 (define @t634 () (@var "V_y1" $$unsorted)) % 0.52/0.79 (define @t635 () (tptp.tc_prod @t25 @t25)) % 0.52/0.79 (define @t636 () (@var "V_z2" $$unsorted)) % 0.52/0.79 (define @t637 () (@var "V_y2" $$unsorted)) % 0.52/0.79 (define @t638 () (tptp.c_Pair @t17 @t6 @t1 @t1)) % 0.52/0.79 (define @t639 () (not (tptp.hBOOL (tptp.c_in @t638 @t56 @t20)))) % 0.52/0.79 (define @t640 () (tptp.hBOOL (tptp.c_in @t373 @t32 @t26))) % 0.52/0.79 (define @t641 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t32 @t1 @t25) @t17) @t123))) % 0.52/0.79 (define @t642 () (tptp.c_Pair @t69 @t6 @t25 @t1)) % 0.52/0.79 (define @t643 () (tptp.hBOOL (tptp.c_in @t642 @t56 @t63))) % 0.52/0.79 (define @t644 () (tptp.hBOOL (tptp.c_in @t210 @t296 @t26))) % 0.52/0.79 (define @t645 () (not (tptp.hBOOL (tptp.c_in @t210 @t56 @t26)))) % 0.52/0.79 (define @t646 () (@list @t69 @t6 @t25 @t1 @t56)) % 0.52/0.79 (define @t647 () (not (tptp.hBOOL (tptp.c_in @t454 @t97 @t20)))) % 0.52/0.79 (define @t648 () (tptp.hBOOL (tptp.c_in @t456 @t218 @t20))) % 0.52/0.79 (define @t649 () (tptp.c_Pair @t6 @t6 @t1 @t1)) % 0.52/0.79 (define @t650 () (@list @t6 @t1 @t56)) % 0.52/0.79 (define @t651 () (tptp.hBOOL (tptp.c_in @t354 @t56 @t20))) % 0.52/0.79 (define @t652 () (not @t651)) % 0.52/0.79 (define @t653 () (tptp.hBOOL (tptp.c_in @t609 @t56 @t20))) % 0.52/0.79 (define @t654 () (not (tptp.hBOOL (tptp.c_in @t550 @t56 @t20)))) % 0.52/0.79 (define @t655 () (tptp.hAPP @t108 @t123)) % 0.52/0.79 (define @t656 () (not (tptp.hBOOL (tptp.c_in @t411 @t133 @t20)))) % 0.52/0.79 (define @t657 () (tptp.hBOOL (tptp.c_in @t649 @t56 @t20))) % 0.52/0.79 (define @t658 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t359 @t655 @t25 @t25) @t56 @t635))) % 0.52/0.79 (define @t659 () (tptp.hBOOL (tptp.c_in @t411 (tptp.c_Relation_Oinv__image @t56 @t108 @t25 @t1) @t20))) % 0.52/0.79 (define @t660 () (tptp.c_Orderings_Obot__class_Obot @t338)) % 0.52/0.79 (define @t661 () (tptp.hBOOL (tptp.c_in @t69 (tptp.hAPP @t3 @t6) @t25))) % 0.52/0.79 (define @t662 () (tptp.hBOOL (tptp.c_in @t210 @t541 @t26))) % 0.52/0.79 (define @t663 () (@list @t123 @t4 @t1 @t17 @t56)) % 0.52/0.79 (define @t664 () (@list @t17 @t4 @t1 @t123 @t56)) % 0.52/0.79 (define @t665 () (not @t662)) % 0.52/0.79 (define @t666 () (@var "V_b_H" $$unsorted)) % 0.52/0.79 (define @t667 () (@var "V_a_H" $$unsorted)) % 0.52/0.79 (define @t668 () (not (= @t210 (tptp.c_Pair @t667 @t666 @t1 @t25)))) % 0.52/0.79 (define @t669 () (@list @t6 @t69 @t1 @t25 @t667 @t666)) % 0.52/0.79 (define @t670 () (tptp.hBOOL (tptp.hAPP @t39 @t17))) % 0.52/0.79 (define @t671 () (tptp.hBOOL (tptp.c_in @t17 @t39 @t1))) % 0.52/0.79 (define @t672 () (tptp.c_Relation_Otrans tptp.v_L tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.52/0.79 (define @t673 () (or @t672 @t672)) % 0.52/0.79 (define @t674 () (@var "V_xe" $$unsorted)) % 0.52/0.79 (define @t675 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t674 @t674 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628)))) % 0.52/0.79 (define @t676 () (@list @t674)) % 0.52/0.79 (define @t677 () (@var "V_xc" $$unsorted)) % 0.52/0.79 (define @t678 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t677 @t677 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628)))) % 0.52/0.79 (define @t679 () (@list @t677)) % 0.52/0.79 (define @t680 () (@var "V_xg" $$unsorted)) % 0.52/0.79 (define @t681 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t680 @t680 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628)))) % 0.52/0.79 (define @t682 () (forall (@list @t680 @t677) (or @t681 @t678))) % 0.52/0.79 (define @t683 () (@var "V_xd" $$unsorted)) % 0.52/0.79 (define @t684 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t613 @t683 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t685 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t683 @t613 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t686 () (@list @t683 @t613)) % 0.52/0.79 (define @t687 () (@var "V_yb" $$unsorted)) % 0.52/0.79 (define @t688 () (@var "V_xf" $$unsorted)) % 0.52/0.79 (define @t689 () (= @t263 @t123)) % 0.52/0.79 (define @t690 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t263 @t123 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t691 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t263 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t692 () (@list @t123 @t263)) % 0.52/0.79 (define @t693 () (@var "V_xi" $$unsorted)) % 0.52/0.79 (define @t694 () (not @t672)) % 0.52/0.79 (define @t695 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t696 () (= tptp.v_x tptp.v_xa)) % 0.52/0.79 (define @t697 () (not @t696)) % 0.52/0.79 (define @t698 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_xa tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t699 () (not @t698)) % 0.52/0.79 (define @t700 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_xa tptp.v_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t701 () (not @t700)) % 0.52/0.79 (define @t702 () (@var "V_yc" $$unsorted)) % 0.52/0.79 (define @t703 () (@var "V_xh" $$unsorted)) % 0.52/0.79 (define @t704 () (= @t703 @t702)) % 0.52/0.79 (define @t705 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t702 @t703 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t706 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t703 @t702 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) % 0.52/0.79 (define @t707 () (or @t706 @t705 @t704 @t691 @t690 @t689)) % 0.52/0.79 (define @t708 () (@list @t703 @t702 @t123 @t263)) % 0.52/0.79 (define @t709 () (forall @t708 @t707)) % 0.52/0.79 (define @t710 () (@var "T_1" $$unsorted)) % 0.52/0.79 (define @t711 () (not (tptp.class_Lattices_Olattice @t710))) % 0.52/0.79 (define @t712 () (@var "T_2" $$unsorted)) % 0.52/0.79 (define @t713 () (tptp.tc_fun @t712 @t710)) % 0.52/0.79 (define @t714 () (@list @t712 @t710)) % 0.52/0.79 (define @t715 () (forall @t676 @t675)) % 0.52/0.79 (define @t716 () (@list @t674)) % 0.52/0.79 (define @t717 () (forall @t679 @t678)) % 0.52/0.79 (define @t718 () (forall (@list @t680) @t681)) % 0.52/0.79 (define @t719 () (@list false true)) % 0.52/0.79 (define @t720 () (@list @t672 @t695)) % 0.52/0.79 (define @t721 () (or @t705 @t706 @t704)) % 0.52/0.79 (define @t722 () (or @t706 @t705 @t704)) % 0.52/0.79 (define @t723 () (@list @t703 @t702)) % 0.52/0.79 (define @t724 () (forall @t723 @t722)) % 0.52/0.79 (define @t725 () (forall @t723 @t721)) % 0.52/0.79 (define @t726 () (forall @t686 (or @t685 @t684 (= @t613 @t683)))) % 0.52/0.79 (define @t727 () (@list @t613 @t683)) % 0.52/0.79 (define @t728 () (= @t123 @t263)) % 0.52/0.79 (define @t729 () (or @t691 @t690 @t728)) % 0.52/0.79 (define @t730 () (forall @t692 @t729)) % 0.52/0.79 (define @t731 () (or @t722 @t729)) % 0.52/0.79 (define @t732 () (or @t706 @t705 @t704 @t691 @t690 @t728)) % 0.52/0.79 (define @t733 () (or @t690 @t691 @t728)) % 0.52/0.79 (define @t734 () (forall @t692 @t733)) % 0.52/0.79 (define @t735 () (@list false)) % 0.52/0.79 (define @t736 () (or @t698 @t700 (= tptp.v_xa tptp.v_x))) % 0.52/0.79 (define @t737 () (or @t698 @t700 @t696)) % 0.52/0.79 (assume @p1 (forall (@list @t6 @t4 @t1 @t3) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t8 @t2) @t7))) % 0.52/0.79 (assume @p2 (forall @t11 (not (= @t9 @t10)))) % 0.52/0.79 (assume @p3 (forall @t15 (= @t14 (tptp.c_HOL_Ominus__class_Ominus @t13 @t3 @t2)))) % 0.52/0.79 (assume @p4 (forall @t15 (= @t14 (tptp.c_HOL_Ominus__class_Ominus @t16 @t12 @t2)))) % 0.52/0.79 (assume @p5 (forall @t19 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t18 @t17 @t1)))) % 0.52/0.79 (assume @p6 (forall @t23 (tptp.c_lessequals @t22 @t3 @t21))) % 0.52/0.79 (assume @p7 (forall @t24 (tptp.c_lessequals @t10 @t4 @t2))) % 0.52/0.79 (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))) % 0.52/0.79 (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))) % 0.52/0.79 (assume @p10 (forall @t15 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t8 @t2) (tptp.c_Set_Oinsert @t6 @t35 @t1)))) % 0.52/0.79 (assume @p11 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t36 @t2) (tptp.c_Set_Oinsert @t6 @t37 @t1)))) % 0.52/0.79 (assume @p12 (forall @t45 (tptp.c_lessequals @t44 @t41 @t21))) % 0.52/0.79 (assume @p13 (forall (@list @t1 @t25 @t47 @t46) (or (not (= (tptp.hAPP @t50 @t47) @t51)) (not (= (tptp.hAPP @t48 @t47) @t49)) (= @t47 @t46)))) % 0.52/0.79 (assume @p14 (forall (@list @t1 @t25 @t53 @t52) (or (not (= @t55 (tptp.hAPP @t50 @t52))) (not (= @t54 (tptp.hAPP @t48 @t52))) (= @t53 @t52)))) % 0.52/0.79 (assume @p15 (forall @t62 (or @t61 (not (tptp.hBOOL (tptp.hAPP @t59 @t60))) @t58))) % 0.52/0.79 (assume @p16 (forall (@list @t4 @t25 @t1 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t66 @t65 @t2) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t64) @t25 @t1) @t2))) % 0.52/0.79 (assume @p17 (forall (@list @t4 @t69 @t3 @t1) (or (tptp.c_lessequals @t4 @t70 @t2) @t68))) % 0.52/0.79 (assume @p18 (forall @t74 (or @t67 @t73))) % 0.52/0.79 (assume @p19 (forall @t78 (or (= @t77 @t16) @t76))) % 0.52/0.79 (assume @p20 (forall @t86 (or @t85 (not @t81) @t79))) % 0.52/0.79 (assume @p21 (forall (@list @t4 @t3 @t25 @t36 @t1 @t17) (or @t81 (not @t85) @t79))) % 0.52/0.79 (assume @p22 (forall @t94 (or @t93 @t91 @t89))) % 0.52/0.79 (assume @p23 (forall (@list @t4 @t17 @t1 @t3) (or @t88 @t91 @t95))) % 0.52/0.79 (assume @p24 (forall @t98 (or (tptp.c_lessequals @t97 @t47 @t21) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t97 @t47 @t21) @t56 @t1 @t1 @t1) @t47 @t21)) @t96))) % 0.52/0.79 (assume @p25 (forall @t103 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t101 @t99 @t2) @t36 @t1 @t25) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t102 @t100 @t27)))) % 0.52/0.79 (assume @p26 (forall @t105 (or @t104 (= @t16 @t4)))) % 0.52/0.79 (assume @p27 (forall @t112 (or @t111 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t108 @t106 @t110) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t109 @t107 @t25))))) % 0.52/0.79 (assume @p28 (forall (@list @t4 @t1 @t25 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t114 @t113 @t2) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t27) @t1 @t25) @t2))) % 0.52/0.79 (assume @p29 (forall @t117 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t37 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t115 @t2)))) % 0.52/0.79 (assume @p30 (forall @t120 (= @t119 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t118 @t2)))) % 0.52/0.79 (assume @p31 (forall @t129 (or @t128 (= @t127 @t125)))) % 0.52/0.79 (assume @p32 (forall @t131 (or @t128 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t126 @t17 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t130 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t17 @t1) @t1))))) % 0.52/0.79 (assume @p33 (forall @t134 (tptp.c_lessequals @t133 @t132 @t21))) % 0.52/0.79 (assume @p34 (forall @t138 (or @t137 @t136))) % 0.52/0.79 (assume @p35 (forall @t134 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t4 @t2) @t4))) % 0.52/0.79 (assume @p36 (forall @t19 (or @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t17 @t1) @t17)))) % 0.52/0.79 (assume @p37 (forall (@list @t140 @t144 @t1 @t25 @t29 @t56 @t47) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t140 @t144 @t1 @t25 @t29) @t145 @t34) (not (tptp.c_lessequals @t144 @t47 @t143)) @t141))) % 0.52/0.79 (assume @p38 (forall (@list @t32 @t39 @t25 @t1 @t4) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t39 @t64) @t4 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t146 (tptp.c_Relation_OImage @t39 @t4 @t25 @t1) @t2)))) % 0.52/0.79 (assume @p39 (forall @t149 (= (tptp.c_Relation_OImage @t32 @t148 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t146 @t147 @t2)))) % 0.52/0.79 (assume @p40 (forall (@list @t59 @t153 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t59 @t153)) (not (tptp.hBOOL (tptp.hAPP @t59 @t152))) @t151))) % 0.52/0.79 (assume @p41 (forall (@list @t17 @t123 @t4 @t1) (= (tptp.c_Set_Oinsert @t17 @t154 @t1) (tptp.c_Set_Oinsert @t123 @t71 @t1)))) % 0.52/0.79 (assume @p42 (forall (@list @t46 @t1 @t25) (= @t46 (tptp.c_Pair @t49 @t51 @t1 @t25)))) % 0.52/0.79 (assume @p43 (forall (@list @t1 @t25 @t53) (= (tptp.c_Pair @t54 @t55 @t1 @t25) @t53))) % 0.52/0.79 (assume @p44 (forall (@list @t59 @t1 @t25 @t155) (= (tptp.hAPP (tptp.c_COMBK @t59 @t1 @t25) @t155) @t59))) % 0.52/0.79 (assume @p45 (forall @t105 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t3 @t2) @t16))) % 0.52/0.79 (assume @p46 (forall (@list @t156 @t17 @t1) (= (tptp.c_Set_Oinsert @t156 @t87 @t1) (tptp.c_Set_Oinsert @t17 (tptp.c_Set_Oinsert @t156 @t10 @t1) @t1)))) % 0.52/0.79 (assume @p47 (forall (@list @t56 @t36 @t1 @t25 @t3 @t4) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t56 @t36 @t1 @t25) @t3 @t80) @t158))) % 0.52/0.79 (assume @p48 (forall (@list @t1 @t156 @t123 @t17) (or @t160 (not (= (tptp.c_HOL_Ominus__class_Ominus @t156 @t123 @t1) @t159)) (= @t156 @t123)))) % 0.52/0.79 (assume @p49 (forall (@list @t1 @t17 @t162 @t161) (or @t160 (not (= @t159 @t163)) (= @t162 @t161)))) % 0.52/0.79 (assume @p50 (forall (@list @t108 @t4 @t25 @t1 @t3) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t165 @t164 @t2) (tptp.c_Set_Oimage @t108 (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t80) @t25 @t1) @t2))) % 0.52/0.79 (assume @p51 (forall @t120 (= @t167 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t166 @t2)))) % 0.52/0.79 (assume @p52 (forall @t168 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t36 @t2) @t167))) % 0.52/0.79 (assume @p53 (forall @t129 (or @t139 @t171))) % 0.52/0.79 (assume @p54 (forall @t129 (or @t139 @t173))) % 0.52/0.79 (assume @p55 (forall @t129 (or @t174 @t173))) % 0.52/0.79 (assume @p56 (forall @t129 (or @t174 @t171))) % 0.52/0.79 (assume @p57 (forall @t105 (or (= @t5 @t4) @t68))) % 0.52/0.79 (assume @p58 (forall @t105 (or (= @t5 @t3) @t175))) % 0.52/0.79 (assume @p59 (forall @t180 (or @t179 @t178 @t177))) % 0.52/0.79 (assume @p60 (forall @t180 (or @t179 (not @t178) @t176))) % 0.52/0.79 (assume @p61 (forall @t180 (or @t179 (= @t124 @t123) @t182))) % 0.52/0.79 (assume @p62 (forall @t168 (or @t187 @t186 @t184))) % 0.52/0.79 (assume @p63 (forall @t188 (tptp.c_lessequals @t3 @t35 @t2))) % 0.52/0.79 (assume @p64 (forall @t105 (tptp.c_lessequals @t4 @t35 @t2))) % 0.52/0.79 (assume @p65 (forall @t195 (or @t139 @t194 @t192 @t190))) % 0.52/0.79 (assume @p66 (forall @t180 (or @t139 @t196))) % 0.52/0.79 (assume @p67 (forall @t198 (or @t139 @t197))) % 0.52/0.79 (assume @p68 (forall @t131 (or @t139 (tptp.c_lessequals @t126 @t17 @t1) (not @t199) @t182))) % 0.52/0.79 (assume @p69 (forall @t129 (or @t139 @t204 @t203 @t201))) % 0.52/0.79 (assume @p70 (forall @t198 (or @t174 @t197))) % 0.52/0.79 (assume @p71 (forall @t180 (or @t174 @t196))) % 0.52/0.79 (assume @p72 (forall @t105 (= @t5 @t116))) % 0.52/0.79 (assume @p73 (forall @t180 (or @t179 @t205))) % 0.52/0.79 (assume @p74 (forall @t206 (= (tptp.c_Set_Oinsert @t17 @t71 @t1) @t71))) % 0.52/0.79 (assume @p75 (forall (@list @t4 @t17 @t123 @t1) (or @t208 (= @t123 @t17) (not @t207)))) % 0.52/0.79 (assume @p76 (forall @t211 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t210 @t56 @t26) @t1 @t25) (tptp.c_Set_Oinsert @t6 @t209 @t1)))) % 0.52/0.79 (assume @p77 (forall @t216 (or (tptp.c_Relation_Osym @t215 @t1) @t214 @t213))) % 0.52/0.79 (assume @p78 (forall @t98 (or @t219 @t96))) % 0.52/0.79 (assume @p79 (forall @t220 (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 @t114 @t113 @t2) @t2))) % 0.52/0.79 (assume @p80 (forall @t19 (or @t221 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t18 @t1) @t18)))) % 0.52/0.79 (assume @p81 (forall @t19 (or @t221 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t17 @t1) @t18)))) % 0.52/0.79 (assume @p82 (forall @t23 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t3 @t2) @t10))) % 0.52/0.79 (assume @p83 (forall @t134 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t10 @t2) @t10))) % 0.52/0.79 (assume @p84 (forall (@list @t3 @t6 @t1) (tptp.c_lessequals @t3 @t8 @t2))) % 0.52/0.79 (assume @p85 (forall @t223 (tptp.c_lessequals (tptp.c_Set_Oimage @t108 @t222 @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t165 @t164 @t2) @t2))) % 0.52/0.79 (assume @p86 (forall @t149 (tptp.c_lessequals @t225 @t224 @t2))) % 0.52/0.79 (assume @p87 (forall @t168 (or (not @t227) @t226))) % 0.52/0.79 (assume @p88 (forall @t168 (or @t227 @t228))) % 0.52/0.79 (assume @p89 (forall @t103 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t101 @t99 @t2) @t36 @t1 @t25) (tptp.c_HOL_Ominus__class_Ominus @t102 @t100 @t27)))) % 0.52/0.79 (assume @p90 (forall @t134 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t10 @t2) @t4))) % 0.52/0.79 (assume @p91 (forall @t134 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t4 @t2) @t10))) % 0.52/0.79 (assume @p92 (forall (@list @t56 @t47 @t1 @t25 @t29 @t4 @t36 @t3) (or (tptp.c_lessequals @t145 (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t36 @t229 @t1) @t1 @t29) @t34) (not (tptp.c_lessequals @t47 (tptp.c_Product__Type_OSigma @t3 (tptp.c_COMBK @t36 @t229 @t25) @t25 @t29) @t143)) @t158))) % 0.52/0.79 (assume @p93 (forall @t231 (or @t230 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t32 @t39 @t1 @t1 @t1) @t32 @t21)) (not (tptp.c_Wellfounded_Owf @t39 @t1)) @t151))) % 0.52/0.79 (assume @p94 (forall @t234 (or @t233 @t208 (not @t232)))) % 0.52/0.79 (assume @p95 (forall @t74 (or @t232 @t235))) % 0.52/0.79 (assume @p96 (forall @t74 (or @t232 @t236))) % 0.52/0.79 (assume @p97 (forall @t240 (= (tptp.c_Product__Type_OSigma @t5 @t237 @t1 @t25) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 @t238 @t27)))) % 0.52/0.79 (assume @p98 (forall @t242 (or (tptp.c_Relation_Orefl__on @t35 @t215 @t1) @t241 @t136))) % 0.52/0.79 (assume @p99 (forall @t129 (or @t174 @t245))) % 0.52/0.79 (assume @p100 (forall @t129 (or @t174 @t246))) % 0.52/0.79 (assume @p101 (forall @t129 (or @t179 @t246))) % 0.52/0.79 (assume @p102 (forall @t129 (or @t179 @t245))) % 0.52/0.79 (assume @p103 (forall @t168 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t36 @t2) @t248))) % 0.52/0.79 (assume @p104 (forall @t120 (= @t248 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t118 @t2)))) % 0.52/0.79 (assume @p105 (forall @t19 (or @t221 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t18 @t1) @t17)))) % 0.52/0.79 (assume @p106 (forall @t19 (or @t221 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t17 @t1) @t17)))) % 0.52/0.79 (assume @p107 (forall @t23 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t3 @t2) @t3))) % 0.52/0.79 (assume @p108 (forall @t134 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t10 @t2) @t4))) % 0.52/0.79 (assume @p109 (forall @t24 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t4 @t2) @t10))) % 0.52/0.79 (assume @p110 (forall (@list @t6 @t4 @t1 @t69 @t3 @t25) (= (tptp.c_Product__Type_OSigma @t9 @t249 @t1 @t25) (tptp.c_Set_Oinsert @t210 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t4 @t249 @t1 @t25) (tptp.c_Product__Type_OSigma @t9 @t157 @t1 @t25) @t27) @t26)))) % 0.52/0.79 (assume @p111 (forall @t250 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t16 @t2) (tptp.c_HOL_Ominus__class_Ominus @t115 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t3 @t2) @t2)))) % 0.52/0.79 (assume @p112 (forall @t168 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t36 @t2) @t251))) % 0.52/0.79 (assume @p113 (forall (@list @t254 @t1 @t25 @t4) (or (= (tptp.c_Set_Oimage @t255 @t4 @t25 @t1) (tptp.c_Set_Oinsert @t254 @t10 @t1)) @t253))) % 0.52/0.79 (assume @p114 (forall @t257 (or (tptp.c_lessequals @t16 (tptp.c_HOL_Ominus__class_Ominus @t36 @t256 @t2) @t2) (not (tptp.c_lessequals @t256 @t3 @t2)) @t184))) % 0.52/0.79 (assume @p115 (forall @t129 (or @t174 (tptp.c_lessequals @t259 @t258 @t1)))) % 0.52/0.79 (assume @p116 (forall @t260 (= @t251 (tptp.c_HOL_Ominus__class_Ominus @t118 @t3 @t2)))) % 0.52/0.79 (assume @p117 (forall @t180 (or @t174 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t124 @t1) @t17)))) % 0.52/0.79 (assume @p118 (forall @t117 (or (not (= (tptp.c_Relation_Orel__comp @t3 @t36 @t1 @t1 @t1) @t22)) @t261 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t21) @t36 @t1 @t1 @t1) @t22)))) % 0.52/0.79 (assume @p119 (forall @t260 (or @t261 (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)))) % 0.52/0.79 (assume @p120 (forall (@list @t59 @t263 @t56 @t1) (or (tptp.hBOOL (tptp.hAPP @t59 @t263)) (not (tptp.hBOOL (tptp.hAPP @t59 @t262))) @t58))) % 0.52/0.79 (assume @p121 (forall @t267 (or @t266 (not @t265)))) % 0.52/0.79 (assume @p122 (forall @t267 (or @t265 @t268))) % 0.52/0.79 (assume @p123 (forall @t105 (or @t269 @t175 @t68))) % 0.52/0.79 (assume @p124 (forall @t180 (or @t271 @t270 @t182 @t177))) % 0.52/0.79 (assume @p125 (forall (@list @t59 @t25 @t29 @t1 @t121) (= (tptp.hAPP (tptp.c_split @t59 @t25 @t29 @t1) @t121) (tptp.hAPP (tptp.hAPP @t59 (tptp.hAPP (tptp.c_fst @t25 @t29) @t121)) (tptp.hAPP (tptp.c_snd @t25 @t29) @t121))))) % 0.52/0.79 (assume @p126 (forall @t180 (or @t271 @t270 @t177 @t182))) % 0.52/0.79 (assume @p127 (forall @t180 (or @t174 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t170 @t1) @t17)))) % 0.52/0.79 (assume @p128 (forall @t105 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t5 @t2) @t4))) % 0.52/0.79 (assume @p129 (forall @t180 (or @t139 (= @t170 @t17) @t182))) % 0.52/0.79 (assume @p130 (forall @t180 (or @t139 (not @t272) @t176))) % 0.52/0.79 (assume @p131 (forall @t180 (or @t139 @t272 @t177))) % 0.52/0.79 (assume @p132 (forall @t105 (or @t273 @t68))) % 0.52/0.79 (assume @p133 (forall @t105 (or (= @t35 @t4) @t175))) % 0.52/0.79 (assume @p134 (forall @t105 (or (not @t273) @t67))) % 0.52/0.79 (assume @p135 (forall @t242 (or (tptp.c_Relation_Orefl__on @t5 @t274 @t1) @t241 @t136))) % 0.52/0.79 (assume @p136 (forall @t275 (tptp.c_Relation_Oantisym @t22 @t1))) % 0.52/0.79 (assume @p137 (forall @t282 (or @t281 @t278 @t276))) % 0.52/0.79 (assume @p138 (forall @t282 (or @t281 @t283 @t276))) % 0.52/0.79 (assume @p139 (forall @t282 (or @t281 @t278 @t284))) % 0.52/0.79 (assume @p140 (forall @t282 (or @t281 @t283 @t284))) % 0.52/0.79 (assume @p141 (forall @t286 (or (tptp.c_lessequals @t97 @t132 @t21) @t285))) % 0.52/0.79 (assume @p142 (forall @t98 (or @t219 (not (tptp.c_lessequals @t56 @t217 @t21))))) % 0.52/0.79 (assume @p143 (forall @t134 (or @t287 (not (tptp.c_lessequals @t4 @t10 @t2))))) % 0.52/0.79 (assume @p144 (forall @t275 (tptp.c_lessequals @t10 @t10 @t2))) % 0.52/0.79 (assume @p145 (forall (@list @t1 @t6 @t4) (not (= @t10 @t9)))) % 0.52/0.79 (assume @p146 (forall @t38 (or (= @t289 (tptp.c_Set_Oinsert @t6 @t247 @t1)) (not @t288)))) % 0.52/0.79 (assume @p147 (forall @t15 (or (= @t292 @t7) @t291))) % 0.52/0.79 (assume @p148 (forall (@list @t108 @t6 @t3 @t25 @t1) (= (tptp.c_Set_Oimage @t108 (tptp.c_Set_Oinsert @t6 @t3 @t25) @t25 @t1) (tptp.c_Set_Oinsert @t293 @t164 @t1)))) % 0.52/0.79 (assume @p149 (forall @t257 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t256 @t2) @t2) @t294 @t184))) % 0.52/0.79 (assume @p150 (forall @t297 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t47 @t64) @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t296 @t295 @t27)))) % 0.52/0.79 (assume @p151 (forall @t180 (or @t174 @t298))) % 0.52/0.79 (assume @p152 (forall @t180 (or @t174 @t299))) % 0.52/0.79 (assume @p153 (forall @t129 (or @t179 @t300 @t201 @t177))) % 0.52/0.79 (assume @p154 (forall @t307 (or @t179 @t306 @t304 @t302))) % 0.52/0.79 (assume @p155 (forall @t180 (or @t179 @t299))) % 0.52/0.79 (assume @p156 (forall @t180 (or @t179 @t298))) % 0.52/0.79 (assume @p157 (forall @t105 (tptp.c_lessequals @t5 @t4 @t2))) % 0.52/0.79 (assume @p158 (forall @t105 (tptp.c_lessequals @t5 @t3 @t2))) % 0.52/0.79 (assume @p159 (forall @t250 (or @t309 (not @t308) @t228))) % 0.52/0.79 (assume @p160 (forall @t240 (= (tptp.c_Product__Type_OSigma @t35 @t237 @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t239 @t238 @t27)))) % 0.52/0.79 (assume @p161 (forall @t131 (or @t128 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t243 @t17 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t310 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t17 @t1) @t1))))) % 0.52/0.79 (assume @p162 (forall @t129 (or @t128 (= @t259 @t258)))) % 0.52/0.79 (assume @p163 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t247 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t166 @t2)))) % 0.52/0.79 (assume @p164 (forall @t117 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t247 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t312 @t311 @t2)))) % 0.52/0.79 (assume @p165 (forall @t206 (tptp.hBOOL (tptp.hAPP @t71 @t17)))) % 0.52/0.79 (assume @p166 (forall @t78 (or @t72 @t68 @t76))) % 0.52/0.79 (assume @p167 (forall @t240 (= (tptp.c_Product__Type_OSigma @t16 @t237 @t1 @t25) (tptp.c_HOL_Ominus__class_Ominus @t239 @t238 @t27)))) % 0.52/0.79 (assume @p168 (forall @t180 (or @t174 @t313))) % 0.52/0.79 (assume @p169 (forall @t180 (or @t179 @t313))) % 0.52/0.79 (assume @p170 (forall @t180 (or @t174 @t205))) % 0.52/0.79 (assume @p171 (forall @t267 (or @t266 @t58))) % 0.52/0.79 (assume @p172 (forall @t105 (or (= @t315 @t3) @t68))) % 0.52/0.79 (assume @p173 (forall @t129 (or @t174 (tptp.c_lessequals @t125 @t127 @t1)))) % 0.52/0.79 (assume @p174 (forall (@list @t39 @t1 @t32) (or (= @t42 @t43) (not (tptp.c_lessequals @t39 @t43 @t21)) (not (tptp.c_lessequals @t32 @t39 @t21))))) % 0.52/0.79 (assume @p175 (forall @t105 (tptp.c_lessequals @t16 @t4 @t2))) % 0.52/0.79 (assume @p176 (forall @t11 (= @t316 @t9))) % 0.52/0.79 (assume @p177 (forall (@list @t6 @t1 @t69) (or (not (= @t12 @t279)) @t317))) % 0.52/0.79 (assume @p178 (forall @t168 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t247 @t2) @t115 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t37 @t2) @t311 @t2)))) % 0.52/0.79 (assume @p179 (forall @t320 (= (tptp.c_Relation_OField (tptp.c_Set_Oinsert @t319 @t56 @t20) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t280 @t318 @t2)))) % 0.52/0.79 (assume @p180 (forall @t267 (= (tptp.c_Relation_OField @t264 @t1) @t318))) % 0.52/0.79 (assume @p181 (forall @t275 (tptp.c_Wellfounded_Owf @t22 @t1))) % 0.52/0.79 (assume @p182 (forall @t321 (or @t75 @t73))) % 0.52/0.79 (assume @p183 (forall @t103 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t101 @t99 @t2) @t36 @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t102 @t100 @t27)))) % 0.52/0.79 (assume @p184 (forall (@list @t123 @t4 @t1 @t17) (or @t207 @t236))) % 0.52/0.79 (assume @p185 (forall @t94 (or @t93 @t68 @t90))) % 0.52/0.79 (assume @p186 (forall @t74 (or @t67 @t90 @t95))) % 0.52/0.79 (assume @p187 (forall @t74 (or @t67 @t95 @t90))) % 0.52/0.79 (assume @p188 (forall @t297 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t47 @t64) @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t296 @t295 @t27)))) % 0.52/0.79 (assume @p189 (forall @t15 (or (= @t292 @t5) @t290))) % 0.52/0.79 (assume @p190 (forall @t38 (or (= @t289 @t247) @t288))) % 0.52/0.79 (assume @p191 (forall @t325 (or @t324 @t323))) % 0.52/0.79 (assume @p192 (forall @t105 (or @t326 (= @t3 @t10)))) % 0.52/0.79 (assume @p193 (forall @t105 (or @t326 @t287))) % 0.52/0.79 (assume @p194 (forall @t328 (or @t221 @t327 (= @t4 @t18)))) % 0.52/0.79 (assume @p195 (forall @t328 (or @t221 @t327 (= @t3 @t18)))) % 0.52/0.79 (assume @p196 (forall @t188 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t314 @t4 @t2) @t312))) % 0.52/0.79 (assume @p197 (forall @t105 (= @t315 @t35))) % 0.52/0.79 (assume @p198 (forall (@list @t39 @t329 @t1 @t29 @t32 @t25) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t329 @t34) @t32 @t1 @t29 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t39 @t32 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t329 @t32 @t1 @t29 @t25) @t27)))) % 0.52/0.79 (assume @p199 (forall (@list @t32 @t39 @t329 @t29 @t25 @t1) (= (tptp.c_Relation_Orel__comp @t32 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t329 @t31) @t1 @t29 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t32 @t39 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t32 @t329 @t1 @t29 @t25) @t27)))) % 0.52/0.79 (assume @p200 (forall @t216 (= (tptp.c_Relation_OField @t215 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t318 @t330 @t2)))) % 0.52/0.79 (assume @p201 (forall (@list @t25 @t4 @t3) (or (not (tptp.class_HOL_Ominus @t25)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t110) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t4 tptp.v_x) (tptp.hAPP @t3 tptp.v_x) @t25))))) % 0.52/0.79 (assume @p202 (forall (@list @t36 @t3 @t1 @t4) (or @t308 @t331))) % 0.52/0.79 (assume @p203 (forall (@list @t36 @t4 @t1 @t3) (or @t226 @t331))) % 0.52/0.79 (assume @p204 (forall @t307 (or @t179 @t301 @t332))) % 0.52/0.79 (assume @p205 (forall (@list @t1 @t17 @t69 @t6) (or @t179 @t303 @t332))) % 0.52/0.79 (assume @p206 (forall @t195 (or @t179 @t333 @t190))) % 0.52/0.79 (assume @p207 (forall @t195 (or @t179 @t333 @t192))) % 0.52/0.79 (assume @p208 (forall @t129 (or @t179 @t176 @t334))) % 0.52/0.79 (assume @p209 (forall @t335 (or @t179 @t200 @t334))) % 0.52/0.79 (assume @p210 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t36 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t337 @t336 @t2)))) % 0.52/0.79 (assume @p211 (= (tptp.c_Relation_OField tptp.v_r tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain tptp.v_r tptp.t_a tptp.t_a) (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_a) @t338))) % 0.52/0.79 (assume @p212 (forall @t105 (= @t35 @t312))) % 0.52/0.79 (assume @p213 (forall @t180 (or @t139 @t339))) % 0.52/0.79 (assume @p214 (forall @t180 (or @t174 @t339))) % 0.52/0.79 (assume @p215 (forall @t220 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t27) @t1 @t25) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t113 @t2)))) % 0.52/0.79 (assume @p216 (forall @t11 (= @t9 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t4 @t2)))) % 0.52/0.79 (assume @p217 (forall (@list @t340 @t1 @t341) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t340 @t1) (tptp.c_Wellfounded_Oacc @t341 @t1) @t2) (not (tptp.c_lessequals @t341 @t340 @t21))))) % 0.52/0.79 (assume @p218 (forall @t105 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t35 @t2) @t35))) % 0.52/0.79 (assume @p219 (forall @t180 (or @t139 @t342))) % 0.52/0.79 (assume @p220 (forall @t180 (or @t174 @t342))) % 0.52/0.79 (assume @p221 (forall @t105 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t314 @t2) @t10))) % 0.52/0.79 (assume @p222 (forall @t343 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t64) @t25 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t66 @t65 @t2) @t2))) % 0.52/0.79 (assume @p223 (forall @t62 (or @t61 (not (tptp.hBOOL (tptp.hAPP @t59 @t344))) @t58))) % 0.52/0.79 (assume @p224 (forall @t275 (= (tptp.c_Relation_OField @t22 @t1) @t10))) % 0.52/0.79 (assume @p225 (forall @t45 (= (tptp.c_Transitive__Closure_Ortrancl @t44 @t1) @t41))) % 0.52/0.79 (assume @p226 (forall @t78 (or (= @t77 (tptp.c_Set_Oinsert @t17 @t16 @t1)) @t75))) % 0.52/0.79 (assume @p227 (forall @t94 (or @t93 @t68 @t89))) % 0.52/0.79 (assume @p228 (forall @t234 (or @t233 @t346))) % 0.52/0.79 (assume @p229 (forall @t94 (or @t208 @t346))) % 0.52/0.79 (assume @p230 (forall @t349 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t348 @t56 @t63) @t25 @t1) (tptp.c_Set_Oinsert @t69 @t347 @t1)))) % 0.52/0.79 (assume @p231 (forall @t216 (or (tptp.c_Relation_Osym @t274 @t1) @t214 @t213))) % 0.52/0.79 (assume @p232 (forall @t206 (or (= (tptp.c_HOL_Ominus__class_Ominus @t71 @t87 @t2) @t4) @t90))) % 0.52/0.79 (assume @p233 (forall @t168 (or @t351 (not @t350)))) % 0.52/0.79 (assume @p234 (forall @t120 (or @t350 (not @t351)))) % 0.52/0.79 (assume @p235 (forall (@list @t108 @t106 @t56 @t17 @t1 @t25) (or (not (= (tptp.hAPP @t108 @t353) (tptp.hAPP @t106 @t353))) @t352))) % 0.52/0.79 (assume @p236 (forall @t358 (or @t266 @t357))) % 0.52/0.79 (assume @p237 (forall (@list @t25 @t108 @t17 @t106 @t1) (or (not (tptp.class_HOL_Oord @t25)) (tptp.c_lessequals @t359 (tptp.hAPP @t106 @t17) @t25) (not (tptp.c_lessequals @t108 @t106 (tptp.tc_fun @t1 @t25)))))) % 0.52/0.79 (assume @p238 (forall @t365 (or @t364 @t363 @t361))) % 0.52/0.79 (assume @p239 (forall (@list @t6 @t69 @t4 @t1) (or @t366 @t291))) % 0.52/0.79 (assume @p240 (forall (@list @t6 @t69 @t3 @t1) (or (tptp.hBOOL (tptp.c_in @t6 @t70 @t1)) (not (tptp.hBOOL (tptp.c_in @t6 @t3 @t1)))))) % 0.52/0.79 (assume @p241 (forall (@list @t46 @t3 @t1 @t4) (or (tptp.hBOOL (tptp.c_in @t46 @t3 @t1)) (not (tptp.hBOOL (tptp.c_in @t46 @t4 @t1))) @t68))) % 0.52/0.79 (assume @p242 (forall @t321 (or @t75 @t68 @t91))) % 0.52/0.79 (assume @p243 (forall @t367 (or @t362 @t361 @t68))) % 0.52/0.79 (assume @p244 (forall @t321 (or @t75 @t91 @t68))) % 0.52/0.79 (assume @p245 (forall @t365 (or @t368 @t361))) % 0.52/0.79 (assume @p246 (forall @t365 (or @t368 @t363))) % 0.52/0.79 (assume @p247 (forall (@list @t6 @t4 @t1 @t69) (or @t290 @t317 (not @t366)))) % 0.52/0.79 (assume @p248 (forall @t367 (or @t362 @t360 (not @t368)))) % 0.52/0.79 (assume @p249 (forall @t367 (or @t363 @t370))) % 0.52/0.79 (assume @p250 (forall @t371 (or @t360 @t370))) % 0.52/0.79 (assume @p251 (forall @t206 (tptp.hBOOL (tptp.c_in @t17 @t71 @t1)))) % 0.52/0.79 (assume @p252 (forall (@list @t6 @t3 @t1) (tptp.hBOOL (tptp.c_in @t6 @t8 @t1)))) % 0.52/0.79 (assume @p253 (forall (@list @t17 @t3 @t1) (tptp.hBOOL (tptp.c_in @t17 @t92 @t1)))) % 0.52/0.79 (assume @p254 (forall @t367 (or @t362 @t372))) % 0.52/0.79 (assume @p255 (forall @t371 (or @t360 @t372))) % 0.52/0.79 (assume @p256 (forall @t365 (or @t369 @t362 @t361))) % 0.52/0.79 (assume @p257 (forall @t78 (or (not (= @t71 @t92)) @t75 @t90 @t269))) % 0.52/0.79 (assume @p258 (forall @t11 (or (= @t9 @t4) @t291))) % 0.52/0.79 (assume @p259 (forall (@list @t1 @t25 @t6 @t69) (= (tptp.hAPP @t48 @t210) @t6))) % 0.52/0.79 (assume @p260 (forall (@list @t17 @t1 @t25 @t123) (= @t17 (tptp.hAPP @t48 @t373)))) % 0.52/0.79 (assume @p261 (forall (@list @t25 @t1 @t6 @t69) (= (tptp.hAPP @t374 @t348) @t69))) % 0.52/0.79 (assume @p262 (forall (@list @t123 @t25 @t1 @t17) (= @t123 @t376))) % 0.52/0.79 (assume @p263 (forall (@list @t59 @t1 @t25 @t53 @t52 @t155) (or (tptp.hBOOL (tptp.hAPP @t59 (tptp.hAPP @t48 @t379))) @t378 @t377))) % 0.52/0.79 (assume @p264 (forall (@list @t155 @t1 @t25 @t53 @t52 @t59) (or (tptp.hBOOL (tptp.hAPP @t155 (tptp.hAPP @t50 @t379))) @t378 @t377))) % 0.52/0.79 (assume @p265 (forall @t286 (or @t380 @t323))) % 0.52/0.79 (assume @p266 (forall @t216 (or (tptp.c_Relation_Otrans @t274 @t1) (not (tptp.c_Relation_Otrans @t47 @t1)) @t381))) % 0.52/0.79 (assume @p267 (forall @t105 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t5 @t2) @t5))) % 0.52/0.79 (assume @p268 (forall @t98 (or (tptp.c_lessequals @t318 @t330 @t2) @t96))) % 0.52/0.79 (assume @p269 (forall @t343 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t64) @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t66 @t65 @t2)))) % 0.52/0.79 (assume @p270 (forall (@list @t56 @t140 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t140 @t21) @t1) @t58))) % 0.52/0.79 (assume @p271 (forall (@list @t140 @t56 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t140 @t56 @t21) @t1) @t58))) % 0.52/0.79 (assume @p272 (forall @t11 (or (= @t316 @t4) @t291))) % 0.52/0.79 (assume @p273 (forall @t19 (or @t179 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t17 @t1) @t17)))) % 0.52/0.79 (assume @p274 (forall @t134 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t2) @t4))) % 0.52/0.79 (assume @p275 (forall @t267 (= @t318 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t383 @t382 @t2)))) % 0.52/0.79 (assume @p276 (forall @t131 (or @t139 @t202 @t384))) % 0.52/0.79 (assume @p277 (forall @t335 (or @t139 @t200 @t384))) % 0.52/0.79 (assume @p278 (forall @t307 (or @t139 @t385 @t304))) % 0.52/0.79 (assume @p279 (forall @t307 (or @t139 @t385 @t302))) % 0.52/0.79 (assume @p280 (forall (@list @t1 @t69 @t17 @t6) (or @t139 @t191 @t386))) % 0.52/0.79 (assume @p281 (forall (@list @t1 @t6 @t17 @t69) (or @t139 @t189 @t386))) % 0.52/0.79 (assume @p282 (forall @t260 (or @t183 @t387))) % 0.52/0.79 (assume @p283 (forall @t117 (or @t185 @t387))) % 0.52/0.79 (assume @p284 (forall @t112 (or @t111 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t108 @t106 @t110) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t109 @t107 @t25))))) % 0.52/0.79 (assume @p285 (forall (@list @t1 @t121 @t17 @t123) (or @t271 @t199 (not (tptp.c_lessequals @t121 @t123 @t1)) @t182))) % 0.52/0.79 (assume @p286 (forall @t388 (tptp.c_lessequals @t17 @t17 @t2))) % 0.52/0.79 (assume @p287 (forall @t134 (tptp.c_lessequals @t4 @t4 @t2))) % 0.52/0.79 (assume @p288 (forall @t260 (or @t183 @t186 @t68))) % 0.52/0.79 (assume @p289 (forall @t393 (or @t392 @t391 @t389))) % 0.52/0.79 (assume @p290 (forall (@list @t53 @t1 @t56) (or (tptp.c_Wellfounded_Owf @t53 @t1) (not (tptp.c_lessequals @t53 @t56 @t21)) @t58))) % 0.52/0.79 (assume @p291 (forall @t19 (or @t271 @t394))) % 0.52/0.79 (assume @p292 (forall @t19 (or @t395 @t394))) % 0.52/0.79 (assume @p293 (forall @t98 (or @t396 (not (tptp.c_Relation_Oantisym @t47 @t1)) @t96))) % 0.52/0.79 (assume @p294 (forall @t393 (or @t392 @t389 @t391))) % 0.52/0.79 (assume @p295 (forall @t98 (or @t266 @t96 (not (tptp.c_Wellfounded_Oacyclic @t47 @t1))))) % 0.52/0.79 (assume @p296 (forall @t399 (or @t398 (not (tptp.c_Relation_Osingle__valued @t47 @t1 @t25)) @t397))) % 0.52/0.79 (assume @p297 (forall @t335 (or @t395 @t200 @t203 @t177))) % 0.52/0.79 (assume @p298 (forall @t257 (or (tptp.c_lessequals @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t256 @t2) @t2) @t294 @t184))) % 0.52/0.79 (assume @p299 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t37 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t337 @t2)))) % 0.52/0.79 (assume @p300 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t36 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t336 @t2)))) % 0.52/0.79 (assume @p301 (forall @t267 (tptp.c_lessequals @t97 (tptp.c_Product__Type_OSigma @t318 (tptp.c_COMBK @t318 @t2 @t1) @t1 @t1) @t21))) % 0.52/0.79 (assume @p302 (forall @t399 (or (tptp.c_lessequals @t209 (tptp.c_Relation_ODomain @t47 @t1 @t25) @t2) @t397))) % 0.52/0.79 (assume @p303 (forall (@list @t4 @t17 @t1) (or (= @t4 @t87) @t287 (not (tptp.c_lessequals @t4 @t87 @t2))))) % 0.52/0.79 (assume @p304 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t247 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t337 @t2)))) % 0.52/0.79 (assume @p305 (forall (@list @t4 @t25 @t1) (= (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t252 @t80 @t1) @t1 @t25) @t28))) % 0.52/0.79 (assume @p306 (forall @t74 (or @t345 @t235 @t236))) % 0.52/0.79 (assume @p307 (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) @t186 @t68))) % 0.52/0.79 (assume @p308 (forall @t403 (or @t402 @t401 @t400 @t182))) % 0.52/0.79 (assume @p309 (forall @t403 (or @t402 @t401 @t181 (not @t400)))) % 0.52/0.79 (assume @p310 (forall (@list @t108 @t4 @t1 @t25 @t3) (or (tptp.c_lessequals @t404 (tptp.c_Set_Oimage @t108 @t3 @t1 @t25) @t80) @t68))) % 0.52/0.79 (assume @p311 (forall @t405 (or (not (tptp.c_lessequals @t17 @t4 @t80)) (tptp.c_lessequals (tptp.c_Set_Oimage @t108 @t17 @t25 @t1) @t165 @t2)))) % 0.52/0.79 (assume @p312 (forall (@list @t6 @t36 @t1 @t256) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t6 @t36 @t1) (tptp.c_Set_Oinsert @t6 @t256 @t1) @t2) (not (tptp.c_lessequals @t36 @t256 @t2))))) % 0.52/0.79 (assume @p313 (forall @t275 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t10 @t2) @t10))) % 0.52/0.79 (assume @p314 (forall @t223 (= (tptp.c_Set_Oimage @t108 @t148 @t25 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t165 @t164 @t2)))) % 0.52/0.79 (assume @p315 (forall @t275 (= (tptp.c_Transitive__Closure_Otrancl @t22 @t1) @t22))) % 0.52/0.79 (assume @p316 (forall (@list @t59 @t25 @t1 @t17 @t123) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t59 @t376) (tptp.hAPP (tptp.c_fst @t25 @t1) @t375))) (not (tptp.hBOOL (tptp.hAPP @t406 @t17)))))) % 0.52/0.79 (assume @p317 (forall (@list @t140 @t407 @t1 @t25 @t56 @t4) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t140 @t407 @t1 @t25) @t408 @t80) (not (tptp.c_lessequals @t407 @t4 @t2)) @t141))) % 0.52/0.79 (assume @p318 (forall @t138 (or @t137 @t409))) % 0.52/0.79 (assume @p319 (forall @t198 (or (not (tptp.class_Orderings_Olinorder @t1)) @t181 @t176))) % 0.52/0.79 (assume @p320 (forall (@list @t254 @t25 @t1 @t4 @t17) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t254 @t25 @t1) @t4 @t1 @t25) (tptp.c_Set_Oinsert @t254 @t252 @t25)) @t91))) % 0.52/0.79 (assume @p321 (forall @t286 (or @t410 @t323))) % 0.52/0.79 (assume @p322 (forall @t413 (or @t356 @t412 @t268))) % 0.52/0.79 (assume @p323 (forall @t415 (or @t414 @t357))) % 0.52/0.79 (assume @p324 (forall @t422 (or @t61 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t421 @t420 @t1 @t1) @t56 @t20)) @t419 @t417))) % 0.52/0.79 (assume @p325 (forall @t426 (or @t418 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t425 @t424 @t1 @t1) @t56 @t20)) @t423 @t417))) % 0.52/0.79 (assume @p326 (forall (@list @t428 @t430 @t1 @t4 @t56) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t428 @t430 @t2) @t10) @t432 @t431 @t429 @t409))) % 0.52/0.79 (assume @p327 (forall @t98 (or (tptp.c_lessequals @t218 @t47 @t21) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t218 @t47 @t21) @t56 @t1 @t1 @t1) @t47 @t21)) (not (tptp.c_lessequals @t433 @t47 @t21))))) % 0.52/0.79 (assume @p328 (forall (@list @t17 @t156 @t1) (or (not (= (tptp.c_Set_Oinsert @t17 @t156 @t1) @t10)) (tptp.hBOOL (tptp.c_in @t17 @t156 @t1))))) % 0.52/0.79 (assume @p329 (forall (@list @t69 @t6 @t1) (or (= @t69 @t6) (not (tptp.hBOOL (tptp.c_in @t69 @t12 @t1)))))) % 0.52/0.79 (assume @p330 (forall @t321 (or @t76 @t91 @t104))) % 0.52/0.79 (assume @p331 (forall @t388 (tptp.hBOOL (tptp.c_in @t17 @t87 @t1)))) % 0.52/0.79 (assume @p332 (forall @t434 (or (= (tptp.c_Set_Oinsert @t359 @t404 @t25) @t404) @t91))) % 0.52/0.79 (assume @p333 (forall (@list @t108 @t17 @t3 @t1 @t4 @t25) (or (tptp.hBOOL (tptp.c_in @t359 @t3 @t1)) @t435 (not (tptp.c_lessequals @t165 @t3 @t2))))) % 0.52/0.79 (assume @p334 (forall (@list @t254 @t1 @t25) (= (tptp.c_Set_Oimage @t255 @t252 @t25 @t1) @t10))) % 0.52/0.79 (assume @p335 (forall (@list @t56 @t17 @t1 @t4) (or (tptp.hBOOL (tptp.c_in @t436 @t427 @t2)) @t91))) % 0.52/0.79 (assume @p336 (forall @t86 (or (not (= @t84 @t83)) @t79 @t269))) % 0.52/0.79 (assume @p337 (forall @t358 (or @t57 @t438))) % 0.52/0.79 (assume @p338 (forall @t440 (or @t439 (not (tptp.hBOOL (tptp.c_in @t17 @t43 @t20)))))) % 0.52/0.79 (assume @p339 (forall @t440 (or @t439 (not (tptp.hBOOL (tptp.c_in @t17 @t42 @t20)))))) % 0.52/0.79 (assume @p340 (forall (@list @t53 @t47 @t1 @t56) (or (tptp.hBOOL (tptp.c_in @t53 (tptp.c_Transitive__Closure_Otrancl @t47 @t1) @t20)) @t96 (not @t441)))) % 0.52/0.79 (assume @p341 (forall (@list @t1 @t3 @t25) (= (tptp.c_Product__Type_OSigma @t10 @t3 @t1 @t25) @t28))) % 0.52/0.79 (assume @p342 (forall @t442 (or (not (= @t209 @t10)) (= @t56 @t28)))) % 0.52/0.79 (assume @p343 (forall (@list @t1 @t25) (= (tptp.c_Relation_ODomain @t28 @t1 @t25) @t10))) % 0.52/0.79 (assume @p344 (forall (@list @t25 @t1) (= (tptp.c_Relation_ORange @t443 @t25 @t1) @t10))) % 0.52/0.79 (assume @p345 (forall @t275 (tptp.c_Relation_Orefl__on @t10 @t22 @t1))) % 0.52/0.79 (assume @p346 (forall @t444 (or (not (= @t347 @t10)) (= @t56 @t443)))) % 0.52/0.79 (assume @p347 (forall @t45 (or @t446 (not @t230)))) % 0.52/0.79 (assume @p348 (forall @t231 (or @t230 (not @t446)))) % 0.52/0.79 (assume @p349 (forall @t447 (or (not (= @t445 @t22)) @t150))) % 0.52/0.79 (assume @p350 (forall @t98 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t383 (tptp.c_Relation_ORange @t47 @t1 @t1) @t2) @t10)) (not (tptp.c_Wellfounded_Owf @t47 @t1)) @t58 (tptp.c_Wellfounded_Owf @t215 @t1)))) % 0.52/0.79 (assume @p351 (forall @t267 (= @t97 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 (tptp.c_Relation_Orel__comp @t97 @t56 @t1 @t1 @t1) @t21)))) % 0.52/0.79 (assume @p352 (forall @t447 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t433 @t21) @t43))) % 0.52/0.79 (assume @p353 (forall @t447 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t433 @t21) @t1) @t43))) % 0.52/0.79 (assume @p354 (forall @t275 (= (tptp.c_Transitive__Closure_Ortrancl @t22 @t1) @t433))) % 0.52/0.79 (assume @p355 (forall @t267 (= (tptp.c_Transitive__Closure_Ortrancl @t448 @t1) @t218))) % 0.52/0.79 (assume @p356 (forall @t275 (= (tptp.c_Relation_OId__on @t10 @t1) @t22))) % 0.52/0.79 (assume @p357 (forall @t267 (or (tptp.c_Relation_Oantisym @t218 @t1) @t268))) % 0.52/0.79 (assume @p358 (forall @t267 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t56 @t56 @t1 @t1 @t1) @t56 @t21) @t381))) % 0.52/0.79 (assume @p359 (forall @t267 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t264 @t21) @t1))) % 0.52/0.79 (assume @p360 (forall @t267 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t264 @t21) @t1))) % 0.52/0.79 (assume @p361 (forall @t267 (or (tptp.c_Relation_Otrans @t449 @t1) @t381))) % 0.52/0.79 (assume @p362 (forall (@list @t4 @t1 @t3) (= (tptp.c_Relation_OImage @t133 @t3 @t1 @t1) @t5))) % 0.52/0.79 (assume @p363 (forall @t267 (or @t396 (not @t450)))) % 0.52/0.79 (assume @p364 (forall @t267 (or @t450 @t451))) % 0.52/0.79 (assume @p365 (forall @t325 (or @t324 (not @t452)))) % 0.52/0.79 (assume @p366 (forall @t325 (or @t452 @t453))) % 0.52/0.79 (assume @p367 (forall @t458 (or @t457 @t455 @t417))) % 0.52/0.79 (assume @p368 (forall @t458 (or @t457 @t461 @t460))) % 0.52/0.79 (assume @p369 (forall @t463 (or @t441 @t462))) % 0.52/0.79 (assume @p370 (forall @t463 (or (tptp.hBOOL (tptp.c_in @t53 @t218 @t20)) @t462))) % 0.52/0.79 (assume @p371 (forall @t286 (or @t380 @t409))) % 0.52/0.79 (assume @p372 (forall @t275 (tptp.c_Relation_Otrans @t433 @t1))) % 0.52/0.79 (assume @p373 (forall @t465 (or (tptp.c_Relation_Otrans @t464 @t25) @t381))) % 0.52/0.79 (assume @p374 (forall @t471 (or @t470 @t459 @t466 @t409))) % 0.52/0.79 (assume @p375 (forall @t478 (or @t477 @t409 @t474 @t473 @t91))) % 0.52/0.79 (assume @p376 (forall @t478 (or @t476 @t479 @t473 @t91 @t409))) % 0.52/0.79 (assume @p377 (forall @t478 (or @t477 @t473 @t91 @t409 @t474))) % 0.52/0.79 (assume @p378 (forall @t478 (or @t476 @t479 @t409))) % 0.52/0.79 (assume @p379 (forall @t471 (or @t469 @t460 @t409))) % 0.52/0.79 (assume @p380 (forall (@list @t428 @t430 @t17 @t123 @t1 @t56 @t4) (or @t432 @t479 (not (tptp.hBOOL (tptp.c_in @t123 @t430 @t1))) (not (tptp.hBOOL (tptp.c_in @t17 @t428 @t1))) @t431 @t429 @t409))) % 0.52/0.79 (assume @p381 (forall (@list @t123 @t17 @t1 @t156 @t4 @t56) (or (not (tptp.hBOOL (tptp.c_in @t123 @t17 @t1))) (not (tptp.hBOOL (tptp.c_in @t156 @t17 @t1))) @t480 @t480 @t409 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t156 @t123 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p382 (forall (@list @t69 @t56 @t6 @t25 @t1) (or @t482 (not @t481)))) % 0.52/0.79 (assume @p383 (forall @t349 (or @t481 (not @t482)))) % 0.52/0.79 (assume @p384 (forall @t267 (or (tptp.c_lessequals @t483 @t56 @t21) @t381 @t213))) % 0.52/0.79 (assume @p385 (forall (@list @t6 @t56 @t1 @t4) (or (tptp.hBOOL (tptp.c_in @t6 @t468 @t1)) @t291 @t409))) % 0.52/0.79 (assume @p386 (forall @t488 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t487 @t1 @t1) @t43 @t20)) @t486))) % 0.52/0.79 (assume @p387 (forall @t490 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t489 @t123 @t1 @t1) @t43 @t20)) @t486))) % 0.52/0.79 (assume @p388 (forall @t415 (or @t414 @t438))) % 0.52/0.79 (assume @p389 (forall @t413 (or @t437 @t412 @t58))) % 0.52/0.79 (assume @p390 (forall @t325 (or @t322 @t453 @t491 @t381))) % 0.52/0.79 (assume @p391 (forall @t267 (or @t493 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t492 @t492 @t1 @t1) @t56 @t20)))))) % 0.52/0.79 (assume @p392 (forall @t267 (or (tptp.c_Relation_Otrans @t448 @t1) @t451 @t381))) % 0.52/0.79 (assume @p393 (forall @t149 (or (= @t225 @t224) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t32 @t25 @t1) @t1 @t25))))) % 0.52/0.79 (assume @p394 (forall @t267 (or @t410 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t494 @t494 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p395 (= (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))) % 0.52/0.79 (assume @p396 (forall @t286 (or (tptp.c_lessequals @t56 @t483 @t21) @t136))) % 0.52/0.79 (assume @p397 (forall @t267 (= @t218 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t433 @t495 @t21)))) % 0.52/0.79 (assume @p398 (forall @t267 (= @t496 @t218))) % 0.52/0.79 (assume @p399 (forall @t267 (= (tptp.c_Transitive__Closure_Otrancl @t449 @t1) @t218))) % 0.52/0.79 (assume @p400 (forall @t267 (= @t218 @t496))) % 0.52/0.79 (assume @p401 (forall (@list @t108 @t56 @t17 @t1 @t25 @t106) (or @t352 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t353 @t17 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p402 (forall (@list @t254 @t4 @t1) (or (= @t254 (tptp.c_Pair @t498 @t498 @t1 @t1)) @t497))) % 0.52/0.79 (assume @p403 (forall (@list @t4 @t254 @t1) (or (tptp.hBOOL (tptp.c_in @t498 @t4 @t1)) @t497))) % 0.52/0.79 (assume @p404 (forall @t267 (or @t57 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t56 @t1) @t499 @t1)))))) % 0.52/0.79 (assume @p405 (forall @t267 (or @t57 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t56 @t1) @t499 @t1)))))) % 0.52/0.79 (assume @p406 (forall (@list @t4 @t1 @t32) (or @t287 (not (tptp.c_lessequals @t4 (tptp.c_Relation_OImage @t32 @t4 @t1 @t1) @t2)) @t151))) % 0.52/0.79 (assume @p407 (forall (@list @t53 @t1) (or (= @t53 (tptp.c_Pair @t500 @t500 @t1 @t1)) (not (tptp.hBOOL (tptp.c_in @t53 @t433 @t20)))))) % 0.52/0.79 (assume @p408 (forall @t503 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t502 @t254 @t29 @t25) @t47 @t30)) @t501))) % 0.52/0.79 (assume @p409 (forall @t503 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t502 @t1 @t29) @t56 @t33)) @t501))) % 0.52/0.79 (assume @p410 (forall (@list @t6 @t69 @t1 @t56 @t4) (or @t459 @t466 (not (tptp.c_lessequals @t467 @t468 @t2)) @t409))) % 0.52/0.79 (assume @p411 (forall (@list @t6 @t69 @t1 @t56 @t17 @t4) (or @t459 (not (tptp.hBOOL (tptp.c_in @t17 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t468 @t467 @t2) @t1))) @t409))) % 0.52/0.79 (assume @p412 (forall @t508 (or @t507 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t504 @t504 @t1 @t1) @t97 @t20))))) % 0.52/0.79 (assume @p413 (forall @t514 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t513 @t121 @t1 @t1) @t97 @t20)) @t512 @t511))) % 0.52/0.79 (assume @p414 (forall @t488 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t489 @t1 @t1) @t32 @t20)) @t486))) % 0.52/0.79 (assume @p415 (forall @t523 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t518 @t522 tptp.t_a tptp.t_a) @t516 @t515)) @t521 @t520))) % 0.52/0.79 (assume @p416 (forall @t508 (or @t524 @t268))) % 0.52/0.79 (assume @p417 (forall @t528 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t527 @t69 @t1 @t1) @t56 @t20)) @t459 @t526))) % 0.52/0.79 (assume @p418 (forall @t528 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t527 @t1 @t1) @t97 @t20)) @t459 @t526))) % 0.52/0.79 (assume @p419 (forall @t490 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t487 @t123 @t1 @t1) @t32 @t20)) @t486))) % 0.52/0.79 (assume @p420 (forall @t529 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t513 @t1 @t1) @t56 @t20)) @t512 @t511))) % 0.52/0.79 (assume @p421 (forall @t523 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t522 @t517 tptp.t_a tptp.t_a) @t56 @t515)) @t521 @t520))) % 0.52/0.79 (assume @p422 (forall @t531 (or @t61 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t344 @t1 @t1) @t56 @t20))) @t58))) % 0.52/0.79 (assume @p423 (forall (@list @t59 @t156 @t123 @t56 @t1) (or (tptp.hBOOL (tptp.hAPP @t59 @t156)) @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t262 @t1 @t1) @t56 @t20))) @t58))) % 0.52/0.79 (assume @p424 (forall (@list @t59 @t532 @t123 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t59 @t532)) @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t152 @t1 @t1) @t32 @t20))) @t151))) % 0.52/0.79 (assume @p425 (forall @t531 (or @t61 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t60 @t1 @t1) @t56 @t20))) @t58))) % 0.52/0.79 (assume @p426 (forall @t528 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t533 @t69 @t1 @t1) @t56 @t20)) @t317 @t417))) % 0.52/0.79 (assume @p427 (forall @t514 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t536 @t121 @t1 @t1) @t218 @t20)) @t535 @t534))) % 0.52/0.79 (assume @p428 (forall @t529 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t536 @t1 @t1) @t56 @t20)) @t535 @t534))) % 0.52/0.79 (assume @p429 (forall @t422 (or @t61 (tptp.hBOOL (tptp.hAPP @t59 @t420)) @t419 @t417))) % 0.52/0.79 (assume @p430 (forall @t422 (or @t61 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t420 @t69 @t1 @t1) @t218 @t20)) @t419 @t417))) % 0.52/0.79 (assume @p431 (forall @t426 (or @t418 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t425 @t1 @t1) @t218 @t20)) @t423 @t417))) % 0.52/0.79 (assume @p432 (forall @t426 (or @t418 (not (tptp.hBOOL (tptp.hAPP @t59 @t424))) @t423 @t417))) % 0.52/0.79 (assume @p433 (forall @t523 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t518 @t540 tptp.t_a tptp.t_a) @t537 @t515)) @t539 @t538))) % 0.52/0.79 (assume @p434 (forall @t426 (or @t418 (tptp.hBOOL (tptp.hAPP @t59 @t425)) @t423 @t417))) % 0.52/0.79 (assume @p435 (forall @t523 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t540 @t517 tptp.t_a tptp.t_a) @t56 @t515)) @t539 @t538))) % 0.52/0.79 (assume @p436 (forall @t422 (or @t61 (not (tptp.hBOOL (tptp.hAPP @t59 @t421))) @t419 @t417))) % 0.52/0.79 (assume @p437 (forall @t528 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t533 @t1 @t1) @t218 @t20)) @t317 @t417))) % 0.52/0.79 (assume @p438 (forall (@list @t4 @t3 @t254 @t1 @t25) (or (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t4 @t3 @t254 @t1 @t25) @t4 @t1)) (not (tptp.hBOOL (tptp.c_in @t254 @t541 @t26)))))) % 0.52/0.79 (assume @p439 (forall @t447 (or (tptp.c_Wellfounded_OwfP (tptp.c_FunDef_Oin__rel @t32 @t1 @t1) @t1) @t151))) % 0.52/0.79 (assume @p440 (forall (@list @t56 @t6 @t1 @t69) (or @t470 (not (tptp.hBOOL (tptp.c_in @t69 @t318 @t1))) (not (tptp.hBOOL (tptp.c_in @t6 @t318 @t1))) @t451 (not (tptp.c_Relation_Orefl__on @t318 @t56 @t1)) @t317))) % 0.52/0.79 (assume @p441 (forall @t267 (tptp.c_Relation_Oirrefl @t448 @t1))) % 0.52/0.79 (assume @p442 (forall (@list @t56 @t1 @t17) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t264 @t218 @t21) @t22)) @t524))) % 0.52/0.79 (assume @p443 (forall @t471 (or (tptp.c_lessequals @t468 @t467 @t2) @t460 @t409))) % 0.52/0.79 (assume @p444 (forall (@list @t6 @t4 @t1 @t69 @t56) (or @t290 @t317 @t285 @t417))) % 0.52/0.79 (assume @p445 (forall (@list @t25 @t1 @t32) (= (tptp.c_Set_Oimage @t374 @t32 @t63 @t1) (tptp.c_Relation_ORange @t32 @t25 @t1)))) % 0.52/0.79 (assume @p446 (forall @t543 (or @t542 @t479 @t473 @t91 @t409))) % 0.52/0.79 (assume @p447 (forall @t543 (or (not @t542) @t473 @t91 @t409 @t474))) % 0.52/0.79 (assume @p448 (forall (@list @t1 @t25 @t32) (= (tptp.c_Set_Oimage @t48 @t32 @t26 @t1) (tptp.c_Relation_ODomain @t32 @t1 @t25)))) % 0.52/0.79 (assume @p449 (forall @t545 (or @t544 @t486 @t270))) % 0.52/0.79 (assume @p450 (forall @t545 (or @t485 @t270 @t546))) % 0.52/0.79 (assume @p451 (forall (@list @t6 @t69 @t1 @t32) (or (tptp.hBOOL (tptp.c_in @t319 @t484 @t20)) @t317 (not (tptp.hBOOL (tptp.c_in @t319 @t43 @t20)))))) % 0.52/0.79 (assume @p452 (forall @t415 (or @t549 (not @t547)))) % 0.52/0.79 (assume @p453 (forall @t413 (or @t547 (not @t549)))) % 0.52/0.79 (assume @p454 (forall (@list @t121 @t123 @t1 @t56 @t17) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t121 @t123 @t1 @t1) @t218 @t20)) (tptp.hBOOL (tptp.c_in @t550 @t218 @t20)) @t534 @t414 (not (tptp.c_Relation_Osingle__valued @t56 @t1 @t1))))) % 0.52/0.79 (assume @p455 (forall @t320 (or @t416 @t526))) % 0.52/0.79 (assume @p456 (forall @t458 (or @t457 @t461 @t526))) % 0.52/0.79 (assume @p457 (forall @t551 (or @t510 (not (tptp.hBOOL (tptp.c_in @t550 @t97 @t20))) @t414))) % 0.52/0.79 (assume @p458 (forall @t415 (or @t555 (not @t553)))) % 0.52/0.79 (assume @p459 (forall @t415 (or @t553 (not @t555)))) % 0.52/0.79 (assume @p460 (forall (@list @t108 @t25 @t29 @t1 @t6 @t69) (= (tptp.hAPP (tptp.c_split @t108 @t25 @t29 @t1) @t557) @t556))) % 0.52/0.79 (assume @p461 (forall (@list @t108 @t1 @t25 @t29 @t6 @t69) (= (tptp.hAPP @t558 @t210) @t556))) % 0.52/0.79 (assume @p462 (forall (@list @t32 @t6 @t69 @t254 @t1 @t25 @t29) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t32 @t6) @t69) @t254)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t32 @t1 @t25 @t229) @t210) @t254)))))) % 0.52/0.79 (assume @p463 (forall @t434 (or (tptp.hBOOL (tptp.c_in @t359 @t404 @t25)) @t91))) % 0.52/0.79 (assume @p464 (forall (@list @t108 @t17 @t4 @t25 @t1) (or @t559 @t435))) % 0.52/0.79 (assume @p465 (forall @t405 (or @t435 @t559))) % 0.52/0.79 (assume @p466 (forall (@list @t17 @t4 @t560 @t108 @t1) (or (not (tptp.hBOOL (tptp.c_in @t17 @t4 @t560))) (tptp.hBOOL (tptp.c_in @t359 (tptp.c_Set_Oimage @t108 @t4 @t560 @t1) @t1))))) % 0.52/0.79 (assume @p467 (forall @t562 (or @t391 @t561))) % 0.52/0.79 (assume @p468 (forall @t563 (not (tptp.hBOOL (tptp.c_in @t6 @t10 @t1))))) % 0.52/0.79 (assume @p469 (forall (@list @t254 @t1) (not (tptp.hBOOL (tptp.c_in @t254 @t10 @t1))))) % 0.52/0.79 (assume @p470 (forall @t562 (or @t390 @t561))) % 0.52/0.79 (assume @p471 (forall @t388 @t561)) % 0.52/0.79 (assume @p472 (forall @t565 (or @t564 @t58))) % 0.52/0.79 (assume @p473 (forall @t134 (tptp.c_Relation_Osingle__valued @t133 @t1 @t1))) % 0.52/0.79 (assume @p474 (forall @t569 (or (tptp.hBOOL (tptp.c_in @t568 @t4 @t25)) @t567))) % 0.52/0.79 (assume @p475 (forall @t267 (or (tptp.c_Relation_Osym @t97 @t1) @t213))) % 0.52/0.79 (assume @p476 (forall @t62 (or @t61 (not (tptp.hBOOL (tptp.hAPP @t59 @t572))) @t571))) % 0.52/0.79 (assume @p477 (forall @t576 (or @t390 (not (tptp.hBOOL (tptp.hAPP @t59 @t575))) @t574))) % 0.52/0.79 (assume @p478 (forall @t62 (or @t61 (tptp.hBOOL (tptp.c_in @t577 @t499 @t1)) @t571))) % 0.52/0.79 (assume @p479 (forall @t267 (or @t212 (not @t578)))) % 0.52/0.79 (assume @p480 (forall @t267 (or @t578 @t213))) % 0.52/0.79 (assume @p481 (forall @t267 (= (tptp.c_Relation_ODomain @t97 @t1 @t1) @t383))) % 0.52/0.79 (assume @p482 (forall @t569 (or (tptp.hBOOL (tptp.c_in @t579 @t4 @t25)) @t567))) % 0.52/0.79 (assume @p483 (forall (@list @t1 @t108 @t25) (= @t10 @t580))) % 0.52/0.79 (assume @p484 (forall @t584 (or (not (tptp.hBOOL (tptp.c_in @t583 @t581 @t1))) @t582))) % 0.52/0.79 (assume @p485 (forall @t275 (tptp.c_Relation_Osym @t433 @t1))) % 0.52/0.79 (assume @p486 (forall (@list @t1 @t32 @t25) (= (tptp.c_Relation_Orel__comp @t433 @t32 @t1 @t1 @t25) @t32))) % 0.52/0.79 (assume @p487 (forall @t585 (= (tptp.c_Relation_Orel__comp @t32 (tptp.c_Relation_OId @t25) @t1 @t25 @t25) @t32))) % 0.52/0.79 (assume @p488 (forall @t134 (tptp.c_Relation_Oantisym @t133 @t1))) % 0.52/0.79 (assume @p489 (forall @t267 (or (tptp.c_Wellfounded_Owf @t554 @t1) (not (tptp.c_Wellfounded_Owf @t264 @t1))))) % 0.52/0.79 (assume @p490 (forall @t62 (or @t61 (not (tptp.hBOOL (tptp.hAPP @t59 @t577))) @t571))) % 0.52/0.79 (assume @p491 (forall @t325 (or @t135 (not @t586)))) % 0.52/0.79 (assume @p492 (forall @t325 (or @t586 @t136))) % 0.52/0.79 (assume @p493 (forall @t267 (or (tptp.c_Relation_Osym @t218 @t1) @t213))) % 0.52/0.79 (assume @p494 (forall @t447 (or @t587 @t151))) % 0.52/0.79 (assume @p495 (forall @t447 (or @t150 (not @t587)))) % 0.52/0.79 (assume @p496 (forall @t24 (= (tptp.c_Relation_OImage @t433 @t4 @t1 @t1) @t4))) % 0.52/0.79 (assume @p497 (forall (@list @t108 @t25 @t1) (= @t580 @t10))) % 0.52/0.79 (assume @p498 (forall @t275 (tptp.c_Relation_Osingle__valued @t433 @t1 @t1))) % 0.52/0.79 (assume @p499 (forall @t134 (= (tptp.c_Relation_ODomain @t133 @t1 @t1) @t4))) % 0.52/0.79 (assume @p500 (forall @t267 (or @t588 @t213))) % 0.52/0.79 (assume @p501 (forall @t267 (or (not @t588) @t212))) % 0.52/0.79 (assume @p502 (forall @t267 (= (tptp.c_Relation_ORange @t97 @t1 @t1) @t382))) % 0.52/0.79 (assume @p503 (forall (@list @t56 @t47 @t25 @t29 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t56 @t47 @t25 @t29 @t1) @t25 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t47 @t29 @t1) (tptp.c_Relation_Oconverse @t56 @t25 @t29) @t1 @t29 @t25)))) % 0.52/0.79 (assume @p504 (forall @t134 (tptp.c_Relation_Osym @t133 @t1))) % 0.52/0.79 (assume @p505 (forall @t134 (tptp.c_Relation_Orefl__on @t4 @t133 @t1))) % 0.52/0.79 (assume @p506 (forall @t465 (or (tptp.c_Wellfounded_Owf @t464 @t25) @t58))) % 0.52/0.79 (assume @p507 (forall @t267 (= @t589 @t495))) % 0.52/0.79 (assume @p508 (forall (@list @t25) (or (not (tptp.class_Orderings_Obot @t25)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t110) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t25))))) % 0.52/0.79 (assume @p509 (forall @t465 (or (tptp.c_Relation_Osym @t464 @t25) @t213))) % 0.52/0.79 (assume @p510 (forall (@list @t1 @t108 @t4 @t25) (or (not (= @t10 @t165)) @t253))) % 0.52/0.79 (assume @p511 (forall @t447 (= (tptp.c_Transitive__Closure_Otrancl @t43 @t1) @t43))) % 0.52/0.79 (assume @p512 (forall @t275 (= (tptp.c_Relation_Oconverse @t433 @t1 @t1) @t433))) % 0.52/0.79 (assume @p513 (forall @t267 (or (tptp.c_Wellfounded_Owf @t97 @t1) @t58))) % 0.52/0.79 (assume @p514 (forall @t585 (= (tptp.c_Relation_OImage @t32 @t252 @t25 @t1) @t10))) % 0.52/0.79 (assume @p515 (forall (@list @t32 @t39 @t1 @t590 @t29 @t329 @t25) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t32 @t39 @t1 @t590 @t29) @t329 @t1 @t29 @t25) (tptp.c_Relation_Orel__comp @t32 (tptp.c_Relation_Orel__comp @t39 @t329 @t590 @t29 @t25) @t1 @t590 @t25)))) % 0.52/0.79 (assume @p516 (forall (@list @t32 @t108 @t25 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t32 @t108 @t25 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t32 @t25 @t25) @t108 @t25 @t1)))) % 0.52/0.79 (assume @p517 (forall @t267 (= @t552 @t554))) % 0.52/0.79 (assume @p518 (forall @t134 (= (tptp.c_Relation_Oconverse @t133 @t1 @t1) @t133))) % 0.52/0.79 (assume @p519 (forall @t267 (or (not @t591) (tptp.c_Equiv__Relations_Oequiv @t383 @t56 @t1)))) % 0.52/0.79 (assume @p520 (forall @t275 (tptp.c_Relation_Oantisym @t433 @t1))) % 0.52/0.79 (assume @p521 (forall @t442 (= (tptp.c_Relation_ORange @t592 @t25 @t1) @t209))) % 0.52/0.79 (assume @p522 (forall (@list @t155 @t56 @t1 @t156) (or (tptp.hBOOL (tptp.c_in @t594 @t155 @t1)) @t593 @t58))) % 0.52/0.79 (assume @p523 (forall @t134 (= (tptp.c_Relation_ORange @t133 @t1 @t1) @t4))) % 0.52/0.79 (assume @p524 (forall (@list @t56 @t47 @t1 @t25 @t29) (or (tptp.c_Relation_Osingle__valued @t145 @t1 @t29) (not (tptp.c_Relation_Osingle__valued @t47 @t25 @t29)) @t595))) % 0.52/0.79 (assume @p525 (forall @t442 (= (tptp.c_Relation_Oconverse @t592 @t25 @t1) @t56))) % 0.52/0.79 (assume @p526 (forall @t286 (or @t591 @t409))) % 0.52/0.79 (assume @p527 (forall @t447 (= (tptp.c_Relation_Orel__comp @t43 @t43 @t1 @t1 @t1) @t43))) % 0.52/0.79 (assume @p528 (forall @t267 (or @t396 (not @t596)))) % 0.52/0.79 (assume @p529 (forall @t267 (or @t596 @t451))) % 0.52/0.79 (assume @p530 (forall @t19 (not (tptp.hBOOL (tptp.hAPP @t10 @t17))))) % 0.52/0.79 (assume @p531 (forall @t576 (or @t390 (not (tptp.hBOOL (tptp.hAPP @t59 @t597))) @t574))) % 0.52/0.79 (assume @p532 (forall @t325 (or @t135 @t409))) % 0.52/0.79 (assume @p533 (forall @t267 (= @t548 (tptp.c_Relation_Oconverse @t218 @t1 @t1)))) % 0.52/0.79 (assume @p534 (forall (@list @t155 @t32 @t1 @t17) (or (tptp.hBOOL (tptp.c_in @t599 @t155 @t1)) @t598 @t151))) % 0.52/0.79 (assume @p535 (forall (@list @t1 @t56) (tptp.c_Relation_Ototal__on @t10 @t56 @t1))) % 0.52/0.79 (assume @p536 (forall @t286 (or @t212 @t409))) % 0.52/0.79 (assume @p537 (forall @t565 (or @t564 (not (tptp.hBOOL (tptp.c_in @t600 @t499 @t1)))))) % 0.52/0.79 (assume @p538 (forall (@list @t602 @t108 @t6 @t25 @t29 @t4 @t1 @t601) (or (tptp.c_Equiv__Relations_Ocongruent @t602 @t293 @t25 @t29) @t291 @t603 (not (tptp.c_Equiv__Relations_Oequiv @t4 @t601 @t1))))) % 0.52/0.79 (assume @p539 (forall @t444 (= @t604 @t347))) % 0.52/0.79 (assume @p540 (forall @t267 (= @t97 @t495))) % 0.52/0.79 (assume @p541 (forall @t267 (= @t97 @t589))) % 0.52/0.79 (assume @p542 (forall (@list @t108 @t4 @t25 @t1) (or (not (= @t165 @t10)) @t253))) % 0.52/0.79 (assume @p543 (forall @t444 (= @t347 @t604))) % 0.52/0.79 (assume @p544 (forall @t325 (or @t324 (not @t605)))) % 0.52/0.79 (assume @p545 (forall @t325 (or @t605 @t453))) % 0.52/0.79 (assume @p546 (forall @t62 (or @t61 (tptp.hBOOL (tptp.c_in @t572 @t499 @t1)) @t571))) % 0.52/0.79 (assume @p547 (forall @t447 (= (tptp.c_Transitive__Closure_Ortrancl @t484 @t1) @t43))) % 0.52/0.79 (assume @p548 (forall @t267 (= (tptp.c_Transitive__Closure_Ortrancl @t218 @t1) @t218))) % 0.52/0.79 (assume @p549 (forall @t267 (or @t606 @t381))) % 0.52/0.79 (assume @p550 (forall @t267 (or @t380 (not @t606)))) % 0.52/0.79 (assume @p551 (forall @t267 (tptp.c_Relation_Otrans @t218 @t1))) % 0.52/0.79 (assume @p552 (forall @t267 (tptp.c_Relation_Otrans @t97 @t1))) % 0.52/0.79 (assume @p553 (forall @t134 (tptp.c_Relation_Otrans @t133 @t1))) % 0.52/0.79 (assume @p554 (forall @t267 (or (= @t97 @t56) @t381))) % 0.52/0.79 (assume @p555 (forall @t569 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t568 @t69 @t25 @t1) @t56 @t63)) @t567))) % 0.52/0.79 (assume @p556 (forall @t584 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t583 @t17 @t1 @t1) @t32 @t20)) @t582))) % 0.52/0.79 (assume @p557 (forall @t531 (or @t61 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t577 @t1 @t1) @t56 @t20))) @t571))) % 0.52/0.79 (assume @p558 (forall @t607 (or @t390 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t597 tptp.t_a tptp.t_a) @t56 @t515))) @t574))) % 0.52/0.79 (assume @p559 (forall (@list @t123 @t155 @t1 @t32 @t17) (or @t608 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t599 @t1 @t1) @t32 @t20))) @t598 @t151))) % 0.52/0.79 (assume @p560 (forall (@list @t69 @t56 @t1 @t25) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t69 @t56 @t1 @t25) @t69 @t25 @t1) @t56 @t63)) (not (tptp.hBOOL (tptp.c_in @t69 @t347 @t1)))))) % 0.52/0.79 (assume @p561 (forall @t565 (or @t564 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t600 @t17 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p562 (forall @t612 (or @t611 @t571 @t610))) % 0.52/0.79 (assume @p563 (forall @t612 (or @t611 @t610 @t571))) % 0.52/0.79 (assume @p564 (forall @t615 (or @t390 @t614 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t613 @t575 tptp.t_a tptp.t_a) @t56 @t515))) @t574))) % 0.52/0.79 (assume @p565 (forall (@list @t17 @t32 @t1) (or @t617 @t616))) % 0.52/0.79 (assume @p566 (forall @t607 (or @t390 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t575 tptp.t_a tptp.t_a) @t56 @t515))) @t574))) % 0.52/0.79 (assume @p567 (forall (@list @t108 @t6 @t69 @t1 @t25 @t29 @t4) (or (tptp.hBOOL (tptp.c_in @t556 (tptp.c_Set_Oimage @t558 @t4 @t26 @t29) @t29)) (not (tptp.hBOOL (tptp.c_in @t210 @t4 @t26)))))) % 0.52/0.79 (assume @p568 (forall @t620 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t6 @t56 @t1 @t25) @t1 @t25) @t56 @t26)) @t619))) % 0.52/0.79 (assume @p569 (forall @t615 (or @t390 @t614 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t613 @t597 tptp.t_a tptp.t_a) @t56 @t515))) @t574))) % 0.52/0.79 (assume @p570 (forall @t531 (or @t61 @t530 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t572 @t1 @t1) @t56 @t20))) @t571))) % 0.52/0.79 (assume @p571 (forall (@list @t123 @t155 @t1 @t56 @t156) (or @t608 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t594 @t1 @t1) @t56 @t20))) @t593 @t58))) % 0.52/0.79 (assume @p572 (forall @t620 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t6 @t56 @t1 @t25) @t1 @t25) @t56 @t26)) @t619))) % 0.52/0.79 (assume @p573 (forall @t569 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t579 @t69 @t25 @t1) @t56 @t63)) @t567))) % 0.52/0.79 (assume @p574 (forall @t545 (or @t270 @t546 @t617))) % 0.52/0.79 (assume @p575 (forall @t620 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t6 @t56 @t1 @t25) @t6 @t25 @t1) @t56 @t63)) (not @t621)))) % 0.52/0.79 (assume @p576 (forall @t267 (or @t380 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t623 @t622 @t1 @t1) @t56 @t20)))))) % 0.52/0.79 (assume @p577 (forall @t267 (or @t380 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t624 @t622 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p578 (forall @t267 (or @t380 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t626 @t625 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p579 (forall @t267 (or @t380 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t626 @t627 @t1 @t1) @t56 @t20)))))) % 0.52/0.79 (assume @p580 (forall @t267 (or @t380 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t623 @t624 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p581 (forall @t267 (or @t380 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t625 @t627 @t1 @t1) @t56 @t20))))) % 0.52/0.79 (assume @p582 (forall (@list @t17 @t123 @t629) (or (not @t632) (not @t631) @t270 @t630))) % 0.52/0.79 (assume @p583 (forall (@list @t123 @t17 @t629) (or @t631 @t632 @t270 @t630))) % 0.52/0.79 (assume @p584 (forall (@list @t121 @t254 @t25 @t29 @t1 @t6 @t69) (or (tptp.hBOOL (tptp.c_in @t121 (tptp.hAPP (tptp.c_split @t254 @t25 @t29 @t2) @t557) @t1)) (not (tptp.hBOOL (tptp.c_in @t121 (tptp.hAPP (tptp.hAPP @t254 @t6) @t69) @t1)))))) % 0.52/0.79 (assume @p585 (forall (@list @t108 @t634 @t637 @t633 @t636 @t25 @t602 @t1 @t601 @t29) (or (= (tptp.hAPP (tptp.hAPP @t108 @t634) @t637) (tptp.hAPP (tptp.hAPP @t108 @t633) @t636)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t637 @t636 @t25 @t25) @t602 @t635))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t634 @t633 @t1 @t1) @t601 @t20))) @t603))) % 0.52/0.79 (assume @p586 (forall (@list @t123 @t121 @t17 @t1 @t25 @t56) (or (= @t123 @t121) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t121 @t1 @t25) @t56 @t26))) (not (tptp.hBOOL (tptp.c_in @t373 @t56 @t26))) @t595))) % 0.52/0.79 (assume @p587 (forall (@list @t108 @t32 @t6 @t1 @t25 @t17) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t108 @t32 @t6 @t1 @t25) @t17) @t359) (not (tptp.hBOOL (tptp.c_in @t638 @t32 @t20)))))) % 0.52/0.79 (assume @p588 (forall (@list @t108 @t56 @t6 @t1 @t25 @t17) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t108 @t56 @t6 @t1 @t25) @t17) @t359) @t639))) % 0.52/0.79 (assume @p589 (forall (@list @t32 @t1 @t25 @t17 @t123) (or @t641 (not @t640)))) % 0.52/0.79 (assume @p590 (forall (@list @t17 @t123 @t1 @t25 @t32) (or @t640 (not @t641)))) % 0.52/0.79 (assume @p591 (forall @t211 (or @t644 (not @t643)))) % 0.52/0.79 (assume @p592 (forall @t646 (or (tptp.hBOOL (tptp.c_in @t642 @t592 @t63)) @t645))) % 0.52/0.79 (assume @p593 (forall @t646 (or @t643 (not @t644)))) % 0.52/0.79 (assume @p594 (forall @t508 (or @t507 @t491))) % 0.52/0.79 (assume @p595 (forall @t458 (or @t457 @t455 @t526))) % 0.52/0.79 (assume @p596 (forall @t458 (or @t457 @t647 @t460))) % 0.52/0.79 (assume @p597 (forall @t458 (or @t648 @t455 @t417))) % 0.52/0.79 (assume @p598 (forall @t458 (or @t648 @t461 @t460))) % 0.52/0.79 (assume @p599 (forall @t320 (or @t525 @t460))) % 0.52/0.79 (assume @p600 (forall @t458 (or @t648 @t461 @t417))) % 0.52/0.79 (assume @p601 (forall @t650 (tptp.hBOOL (tptp.c_in @t649 @t218 @t20)))) % 0.52/0.79 (assume @p602 (forall (@list @t17 @t1 @t32) @t616)) % 0.52/0.79 (assume @p603 (forall (@list @t17 @t6 @t1 @t56) (or @t639 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t17 @t1 @t1) @t56 @t20))) @t58))) % 0.52/0.79 (assume @p604 (forall @t415 (or @t270 @t652 @t479 @t451))) % 0.52/0.79 (assume @p605 (forall @t320 (or @t317 (not @t653) @t460 @t451))) % 0.52/0.79 (assume @p606 (forall (@list @t108 @t123 @t121 @t1 @t56 @t25) (or (= @t655 (tptp.hAPP @t108 @t121)) @t654 (not (tptp.c_Equiv__Relations_Ocongruent @t56 @t108 @t1 @t25))))) % 0.52/0.79 (assume @p607 (forall (@list @t17 @t123 @t1 @t4) (or @t270 @t656))) % 0.52/0.79 (assume @p608 (forall (@list @t108 @t56 @t17 @t1 @t25 @t106 @t123) (or (not @t352) (= @t655 (tptp.hAPP @t106 @t123)) @t652))) % 0.52/0.79 (assume @p609 (forall (@list @t6 @t69 @t1) (or @t317 (not (tptp.hBOOL (tptp.c_in @t319 @t433 @t20)))))) % 0.52/0.79 (assume @p610 (forall @t508 (or @t506 (not @t493)))) % 0.52/0.79 (assume @p611 (forall @t650 (or (not @t657) @t58))) % 0.52/0.79 (assume @p612 (forall (@list @t17 @t123 @t1 @t56 @t108 @t25) (or @t659 (not @t658)))) % 0.52/0.79 (assume @p613 (forall (@list @t108 @t17 @t123 @t25 @t56 @t1) (or @t658 (not @t659)))) % 0.52/0.79 (assume @p614 (forall @t413 (or @t651 @t479 @t213))) % 0.52/0.79 (assume @p615 (forall (@list @t69 @t6 @t1 @t56) (or @t653 @t460 @t213))) % 0.52/0.79 (assume @p616 (forall (@list @t6 @t254 @t1 @t29 @t56 @t47 @t25 @t69) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t254 @t1 @t29) @t145 @t33)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t69 @t254 @t25 @t29) @t47 @t142))) @t645))) % 0.52/0.79 (assume @p617 (forall (@list @t6 @t254 @t1 @t32 @t69) (or (tptp.hBOOL (tptp.c_in @t456 @t484 @t20)) (not (tptp.hBOOL (tptp.c_in @t454 @t32 @t20))) (not (tptp.hBOOL (tptp.c_in @t319 @t32 @t20)))))) % 0.52/0.79 (assume @p618 (forall @t458 (or @t457 @t647 @t526))) % 0.52/0.79 (assume @p619 (forall @t388 (tptp.hBOOL (tptp.c_in @t505 @t433 @t20)))) % 0.52/0.79 (assume @p620 (forall @t563 (tptp.hBOOL (tptp.c_in @t649 @t433 @t20)))) % 0.52/0.79 (assume @p621 (= (tptp.hAPP @t660 tptp.v_x) (tptp.c_in tptp.v_x @t660 tptp.t_a))) % 0.52/0.79 (assume @p622 (forall (@list @t6 @t69 @t1 @t25 @t4 @t3) (or @t662 (not @t661) @t291))) % 0.52/0.79 (assume @p623 (forall (@list @t6 @t56 @t1 @t69) (or @t570 @t460 (not @t611)))) % 0.52/0.79 (assume @p624 (forall (@list @t123 @t56 @t1 @t6) (or (tptp.hBOOL (tptp.c_in @t123 @t499 @t1)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t123 @t6 @t1 @t1) @t56 @t20))) @t571))) % 0.52/0.79 (assume @p625 (forall (@list @t69 @t56 @t4 @t1 @t25 @t6) (or (tptp.hBOOL (tptp.c_in @t69 @t408 @t25)) @t645 @t291))) % 0.52/0.79 (assume @p626 (forall (@list @t69 @t56 @t4 @t25 @t1 @t17) (or @t566 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t69 @t25 @t1) @t56 @t63))) @t435))) % 0.52/0.79 (assume @p627 (forall (@list @t17 @t4 @t1 @t123) (or @t90 @t656))) % 0.52/0.79 (assume @p628 (forall (@list @t17 @t1 @t4) (or (tptp.hBOOL (tptp.c_in @t505 @t133 @t20)) @t91))) % 0.52/0.79 (assume @p629 (forall @t663 (or @t472 @t479 @t409))) % 0.52/0.79 (assume @p630 (forall @t664 (or @t90 @t479 @t409))) % 0.52/0.79 (assume @p631 (forall (@list @t6 @t56 @t25 @t1 @t17) (or @t621 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t6 @t25 @t1) @t56 @t63)))))) % 0.52/0.79 (assume @p632 (forall (@list @t69 @t56 @t1 @t25 @t6) (or (tptp.hBOOL (tptp.c_in @t69 (tptp.c_Relation_ORange @t56 @t1 @t25) @t25)) @t645))) % 0.52/0.79 (assume @p633 (forall (@list @t6 @t56 @t1 @t25 @t17) (or @t618 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t6 @t17 @t1 @t25) @t56 @t26)))))) % 0.52/0.79 (assume @p634 (forall (@list @t6 @t56 @t1 @t25 @t69) (or @t618 @t645))) % 0.52/0.79 (assume @p635 (forall (@list @t69 @t3 @t6 @t25 @t1 @t4) (or @t661 @t665))) % 0.52/0.79 (assume @p636 (forall (@list @t6 @t4 @t1 @t69 @t25 @t3) (or @t290 @t665))) % 0.52/0.79 (assume @p637 (forall (@list @t156 @t17 @t1 @t56 @t4) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t156 @t17 @t1 @t1) @t56 @t20)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t156 @t1 @t1) @t56 @t20)) (= @t17 @t156) (not (tptp.hBOOL (tptp.c_in @t156 @t4 @t1))) @t91 @t453))) % 0.52/0.79 (assume @p638 (forall (@list @t17 @t1 @t56 @t4) (or @t506 @t91 @t136))) % 0.52/0.79 (assume @p639 (forall @t663 (or @t472 @t479 @t136))) % 0.52/0.79 (assume @p640 (forall @t664 (or @t90 @t479 @t136))) % 0.52/0.79 (assume @p641 (forall (@list @t6 @t1 @t56 @t4) (or @t657 @t291 @t136))) % 0.52/0.79 (assume @p642 (forall @t669 (or @t668 (= @t69 @t666)))) % 0.52/0.79 (assume @p643 (forall @t669 (or @t668 (= @t6 @t667)))) % 0.52/0.79 (assume @p644 (forall @t551 (or @t512 @t654 @t479 @t381))) % 0.52/0.79 (assume @p645 (forall @t458 (or (tptp.hBOOL (tptp.c_in @t456 @t56 @t20)) @t455 @t460 @t381))) % 0.52/0.79 (assume @p646 (forall (@list @t17 @t39 @t1) (or @t671 (not @t670)))) % 0.52/0.79 (assume @p647 (forall (@list @t39 @t17 @t1) (or @t670 (not @t671)))) % 0.52/0.79 (assume @p648 @t673) % 0.52/0.79 (assume @p649 (forall @t676 (or @t675 @t672))) % 0.52/0.79 (assume @p650 (forall @t679 (or @t672 @t678))) % 0.52/0.79 (assume @p651 @t682) % 0.52/0.79 (assume @p652 (forall @t686 (or @t685 @t684 (= @t683 @t613) @t672))) % 0.52/0.79 (assume @p653 (forall (@list @t688 @t687 @t677) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t688 @t687 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t687 @t688 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628)) (= @t688 @t687) @t678))) % 0.52/0.79 (assume @p654 (forall @t692 (or @t672 @t691 @t690 @t689))) % 0.52/0.79 (assume @p655 (forall (@list @t693 @t123 @t263) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t693 @t693 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t628))) @t691 @t690 @t689))) % 0.52/0.79 (assume @p656 (or @t697 @t695 @t694 @t697 @t695 @t694)) % 0.52/0.79 (assume @p657 (or @t697 @t695 @t694 @t699 @t695 @t694)) % 0.52/0.79 (assume @p658 (or @t697 @t695 @t694 @t701 @t695 @t694)) % 0.52/0.79 (assume @p659 (or @t699 @t695 @t694 @t701 @t695 @t694)) % 0.52/0.79 (assume @p660 (or @t701 @t695 @t694 @t701 @t695 @t694)) % 0.52/0.79 (assume @p661 (or @t699 @t695 @t694 @t699 @t695 @t694)) % 0.52/0.79 (assume @p662 (or @t701 @t695 @t694 @t699 @t695 @t694)) % 0.52/0.79 (assume @p663 @t709) % 0.52/0.79 (assume @p664 (forall @t714 (or (tptp.class_Lattices_Oupper__semilattice @t713) @t711))) % 0.52/0.79 (assume @p665 (forall @t714 (or (tptp.class_Lattices_Olower__semilattice @t713) @t711))) % 0.52/0.79 (assume @p666 (forall @t714 (or (tptp.class_Lattices_Odistrib__lattice @t713) (not (tptp.class_Lattices_Odistrib__lattice @t710))))) % 0.52/0.79 (assume @p667 (forall @t714 (or (tptp.class_Lattices_Obounded__lattice @t713) (not (tptp.class_Lattices_Obounded__lattice @t710))))) % 0.52/0.79 (assume @p668 (forall @t714 (or (tptp.class_Orderings_Opreorder @t713) (not (tptp.class_Orderings_Opreorder @t710))))) % 0.52/0.79 (assume @p669 (forall @t714 (or (tptp.class_Lattices_Olattice @t713) @t711))) % 0.52/0.79 (assume @p670 (forall @t714 (or (tptp.class_Orderings_Oorder @t713) (not (tptp.class_Orderings_Oorder @t710))))) % 0.52/0.79 (assume @p671 (forall @t714 (or (tptp.class_Orderings_Obot @t713) (not (tptp.class_Orderings_Obot @t710))))) % 0.52/0.79 (assume @p672 (forall @t714 (or (tptp.class_HOL_Ominus @t713) (not (tptp.class_HOL_Ominus @t710))))) % 0.52/0.79 (assume @p673 (forall @t714 (or (tptp.class_HOL_Oord @t713) (not (tptp.class_HOL_Oord @t710))))) % 0.52/0.79 (assume @p674 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.52/0.79 (assume @p675 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.52/0.79 (assume @p676 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.52/0.79 (assume @p677 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.52/0.79 (assume @p678 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.52/0.79 (assume @p679 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.52/0.79 (assume @p680 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.52/0.79 (assume @p681 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.52/0.79 (assume @p682 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.52/0.79 (assume @p683 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.52/0.79 (assume @p684 (forall @t388 (tptp.c_fequal @t17 @t17 @t1))) % 0.52/0.79 (assume @p685 (forall (@list @t428 @t430 @t1) (or @t432 (not (tptp.c_fequal @t428 @t430 @t1))))) % 0.52/0.79 (step @p686 :rule alpha_equiv :args (@t715 @t716 (@list @t677))) % 0.52/0.79 (step @p687 :rule equiv_elim2 :premises (@p686)) % 0.52/0.79 (step @p688 :rule alpha_equiv :args (@t715 @t716 (@list @t680))) % 0.52/0.79 (step @p689 :rule equiv_elim2 :premises (@p688)) % 0.52/0.79 (step @p690 :rule quant-miniscope-or :args ((= @t682 (or @t718 @t717)))) % 0.52/0.79 (step @p691 :rule eq_resolve :premises (@p651 @p690)) % 0.52/0.79 (step @p692 :rule reordering :premises (@p691) :args ((or @t717 @t718))) % 0.52/0.79 (step @p693 :rule chain_m_resolution :premises (@p692 @p689 @p687) :args (@t715 (@list true true) (@list @t718 @t717))) % 0.52/0.79 (step @p694 :rule instantiate :premises (@p693) :args ((@list tptp.v_x))) % 0.52/0.79 (step @p695 :rule aci_norm :args ((= @t673 @t672))) % 0.52/0.79 (step @p696 :rule eq_resolve :premises (@p648 @p695)) % 0.52/0.79 (step @p697 :rule factoring :premises (@p656)) % 0.52/0.79 (step @p698 :rule reordering :premises (@p697) :args ((or @t694 @t695 @t697))) % 0.52/0.79 (step @p699 :rule chain_m_resolution :premises (@p698 @p696 @p694) :args (@t697 @t719 @t720)) % 0.52/0.79 (step @p700 :rule aci_norm :args ((= @t722 @t721))) % 0.52/0.79 (step @p701 :rule cong :premises (@p700) :args (@t724)) % 0.52/0.79 (step @p702 :rule symm :premises (@p701)) % 0.52/0.79 (step @p703 :rule true_intro :premises (@p702)) % 0.52/0.79 (step @p704 :rule eq-symm :args (@t724 @t725)) % 0.52/0.79 (step @p705 :rule trans :premises (@p704 @p703)) % 0.52/0.79 (step @p706 :rule cong :premises (@p702 @p701) :args ((= @t725 @t724))) % 0.52/0.79 (step @p707 :rule trans :premises (@p706 @p705)) % 0.52/0.79 (step @p708 :rule true_elim :premises (@p707)) % 0.52/0.79 (step @p709 :rule quant_var_reordering :args ((= (forall (@list @t702 @t703) @t721) @t725))) % 0.52/0.79 (step @p710 :rule alpha_equiv :args (@t726 @t727 (@list @t703 @t702))) % 0.52/0.79 (step @p711 :rule trans :premises (@p710 @p709 @p708)) % 0.52/0.79 (step @p712 :rule equiv_elim1 :premises (@p711)) % 0.52/0.79 (step @p713 :rule reordering :premises (@p712) :args ((or @t724 (not @t726)))) % 0.52/0.79 (step @p714 :rule quant-miniscope-or :args ((= (forall @t708 @t731) (or @t724 @t730)))) % 0.52/0.79 (step @p715 :rule aci_norm :args ((= @t732 @t731))) % 0.52/0.79 (step @p716 :rule cong :premises (@p715) :args ((forall @t708 @t732))) % 0.52/0.79 (step @p717 :rule trans :premises (@p716 @p714)) % 0.52/0.79 (step @p718 :rule eq-symm :args (@t263 @t123)) % 0.52/0.79 (step @p719 :rule refl :args (@t690)) % 0.52/0.79 (step @p720 :rule refl :args (@t691)) % 0.52/0.79 (step @p721 :rule refl :args (@t704)) % 0.52/0.79 (step @p722 :rule refl :args (@t705)) % 0.52/0.79 (step @p723 :rule refl :args (@t706)) % 0.52/0.79 (step @p724 :rule nary_cong :premises (@p723 @p722 @p721 @p720 @p719 @p718) :args (@t707)) % 0.52/0.79 (step @p725 :rule cong :premises (@p724) :args (@t709)) % 0.52/0.79 (step @p726 :rule trans :premises (@p725 @p717)) % 0.52/0.79 (step @p727 :rule eq_resolve :premises (@p663 @p726)) % 0.52/0.79 (step @p728 :rule reordering :premises (@p727) :args ((or @t730 @t724))) % 0.52/0.79 (step @p729 :rule aci_norm :args ((= @t729 @t733))) % 0.52/0.79 (step @p730 :rule cong :premises (@p729) :args (@t730)) % 0.52/0.79 (step @p731 :rule symm :premises (@p730)) % 0.52/0.79 (step @p732 :rule true_intro :premises (@p731)) % 0.52/0.79 (step @p733 :rule eq-symm :args (@t730 @t734)) % 0.52/0.79 (step @p734 :rule trans :premises (@p733 @p732)) % 0.52/0.79 (step @p735 :rule cong :premises (@p731 @p730) :args ((= @t734 @t730))) % 0.52/0.79 (step @p736 :rule trans :premises (@p735 @p734)) % 0.52/0.79 (step @p737 :rule true_elim :premises (@p736)) % 0.52/0.79 (step @p738 :rule quant_var_reordering :args ((= (forall (@list @t263 @t123) @t733) @t734))) % 0.52/0.79 (step @p739 :rule alpha_equiv :args (@t726 @t727 (@list @t123 @t263))) % 0.52/0.79 (step @p740 :rule trans :premises (@p739 @p738 @p737)) % 0.52/0.79 (step @p741 :rule equiv_elim2 :premises (@p740)) % 0.52/0.79 (step @p742 :rule chain_m_resolution :premises (@p741 @p728 @p713) :args (@t724 @t719 (@list @t730 @t726))) % 0.52/0.79 (step @p743 :rule equiv_elim2 :premises (@p711)) % 0.52/0.79 (step @p744 :rule chain_m_resolution :premises (@p743 @p742) :args (@t726 @t735 (@list @t724))) % 0.52/0.79 (step @p745 :rule eq-symm :args (tptp.v_xa tptp.v_x)) % 0.52/0.79 (step @p746 :rule refl :args (@t700)) % 0.52/0.79 (step @p747 :rule refl :args (@t698)) % 0.52/0.79 (step @p748 :rule nary_cong :premises (@p747 @p746 @p745) :args (@t736)) % 0.52/0.79 (step @p749 :rule refl :args (@t726)) % 0.52/0.79 (step @p750 :rule cong :premises (@p749 @p748) :args ((=> @t726 @t736))) % 0.52/0.79 (assume-push @p767 @t726) % 0.52/0.79 (step @p752 :rule instantiate :premises (@p744) :args ((@list tptp.v_x tptp.v_xa))) % 0.52/0.79 (step-pop @p768 :rule scope :premises (@p752)) % 0.52/0.79 (step @p753 :rule process_scope :premises (@p768) :args (@t736)) % 0.52/0.79 (step @p755 :rule eq_resolve :premises (@p753 @p750)) % 0.52/0.79 (step @p756 :rule implies_elim :premises (@p755)) % 0.52/0.79 (step @p757 :rule chain_m_resolution :premises (@p756 @p744) :args (@t737 @t735 (@list @t726))) % 0.52/0.79 (step @p758 :rule factoring :premises (@p660)) % 0.52/0.79 (step @p759 :rule reordering :premises (@p758) :args ((or @t694 @t695 @t701))) % 0.52/0.79 (step @p760 :rule chain_m_resolution :premises (@p759 @p696 @p694) :args (@t701 @t719 @t720)) % 0.52/0.79 (step @p761 :rule factoring :premises (@p661)) % 0.52/0.79 (step @p762 :rule reordering :premises (@p761) :args ((or @t694 @t695 @t699))) % 0.52/0.79 (step @p763 :rule chain_m_resolution :premises (@p762 @p696 @p694) :args (@t699 @t719 @t720)) % 0.52/0.79 (step @p764 :rule cnf_or_pos :args (@t737)) % 0.52/0.79 (step @p765 :rule reordering :premises (@p764) :args ((or @t696 @t698 @t700 (not @t737)))) % 0.52/0.79 (step @p766 false :rule chain_m_resolution :premises (@p765 @p763 @p760 @p757 @p699) :args (false (@list true true false true) (@list @t698 @t700 @t737 @t696))) % 0.52/0.79 ) % 0.52/0.79 % SZS output end Proof % 0.52/0.79 % cvc5 exiting %------------------------------------------------------------------------------