%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT002-1 : 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 : n025.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 16.03s 16.27s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT002-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:15:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.87 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.27 % SZS status Unsatisfiable % 16.03/16.27 % SZS output start Proof % 16.03/16.29 ( % 16.03/16.29 (declare-sort $$unsorted 0) % 16.03/16.29 (declare-const tptp.v_L $$unsorted) % 16.03/16.29 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 16.03/16.29 (declare-const tptp.v_R $$unsorted) % 16.03/16.29 (declare-const tptp.v_c $$unsorted) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Predicate_Oinv__imagep (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.t_c $$unsorted) % 16.03/16.29 (declare-const tptp.c_curry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.v_y $$unsorted) % 16.03/16.29 (declare-const tptp.t_b $$unsorted) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.tc_bool $$unsorted) % 16.03/16.29 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.t_a $$unsorted) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.v_x $$unsorted) % 16.03/16.29 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_snd (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.v_r $$unsorted) % 16.03/16.29 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 16.03/16.29 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.29 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 16.03/16.29 (define @t1 () (@var "T_a" $$unsorted)) % 16.03/16.29 (define @t2 () (@var "V_C" $$unsorted)) % 16.03/16.29 (define @t3 () (@var "V_x" $$unsorted)) % 16.03/16.29 (define @t4 () (not (tptp.hBOOL (tptp.c_in @t3 @t2 @t1)))) % 16.03/16.29 (define @t5 () (@var "T_b" $$unsorted)) % 16.03/16.29 (define @t6 () (tptp.tc_fun @t5 tptp.tc_bool)) % 16.03/16.29 (define @t7 () (@var "V_B" $$unsorted)) % 16.03/16.29 (define @t8 () (@var "V_A" $$unsorted)) % 16.03/16.29 (define @t9 () (tptp.c_lessequals @t8 @t7 @t6)) % 16.03/16.29 (define @t10 () (tptp.tc_prod @t5 @t1)) % 16.03/16.29 (define @t11 () (tptp.tc_fun @t10 tptp.tc_bool)) % 16.03/16.29 (define @t12 () (tptp.tc_fun @t1 tptp.tc_bool)) % 16.03/16.29 (define @t13 () (tptp.c_COMBK @t2 @t12 @t5)) % 16.03/16.29 (define @t14 () (tptp.c_Product__Type_OSigma @t7 @t13 @t5 @t1)) % 16.03/16.29 (define @t15 () (tptp.c_Product__Type_OSigma @t8 @t13 @t5 @t1)) % 16.03/16.29 (define @t16 () (tptp.c_lessequals @t15 @t14 @t11)) % 16.03/16.29 (define @t17 () (@list @t8 @t2 @t1 @t5 @t7 @t3)) % 16.03/16.29 (define @t18 () (tptp.c_Orderings_Obot__class_Obot @t12)) % 16.03/16.29 (define @t19 () (tptp.c_Set_Oinsert @t3 @t18 @t1)) % 16.03/16.29 (define @t20 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t8 @t19 @t12) @t7 @t12)) % 16.03/16.29 (define @t21 () (not @t20)) % 16.03/16.29 (define @t22 () (tptp.hBOOL (tptp.c_in @t3 @t8 @t1))) % 16.03/16.29 (define @t23 () (not @t22)) % 16.03/16.29 (define @t24 () (tptp.c_Set_Oinsert @t3 @t7 @t1)) % 16.03/16.29 (define @t25 () (tptp.c_lessequals @t8 @t24 @t12)) % 16.03/16.29 (define @t26 () (@list @t8 @t3 @t7 @t1)) % 16.03/16.29 (define @t27 () (not @t25)) % 16.03/16.29 (define @t28 () (tptp.tc_prod @t1 @t1)) % 16.03/16.29 (define @t29 () (tptp.tc_fun @t28 tptp.tc_bool)) % 16.03/16.29 (define @t30 () (@var "V_s" $$unsorted)) % 16.03/16.29 (define @t31 () (@var "V_r" $$unsorted)) % 16.03/16.29 (define @t32 () (not (tptp.c_lessequals @t31 @t30 @t29))) % 16.03/16.29 (define @t33 () (tptp.c_Transitive__Closure_Otrancl @t31 @t1)) % 16.03/16.29 (define @t34 () (@list @t31 @t1 @t30)) % 16.03/16.29 (define @t35 () (tptp.tc_prod @t1 @t5)) % 16.03/16.29 (define @t36 () (tptp.tc_fun @t35 tptp.tc_bool)) % 16.03/16.29 (define @t37 () (@var "V_J" $$unsorted)) % 16.03/16.29 (define @t38 () (tptp.c_Product__Type_OSigma @t37 @t2 @t1 @t5)) % 16.03/16.29 (define @t39 () (@var "V_I" $$unsorted)) % 16.03/16.29 (define @t40 () (tptp.c_Product__Type_OSigma @t39 @t2 @t1 @t5)) % 16.03/16.29 (define @t41 () (@list @t39 @t37 @t1 @t2 @t5)) % 16.03/16.29 (define @t42 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t12)) % 16.03/16.29 (define @t43 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t7 @t12)) % 16.03/16.29 (define @t44 () (not (= @t43 @t18))) % 16.03/16.29 (define @t45 () (@list @t8 @t7 @t1)) % 16.03/16.29 (define @t46 () (@var "V_g" $$unsorted)) % 16.03/16.29 (define @t47 () (tptp.hAPP @t46 tptp.v_x)) % 16.03/16.29 (define @t48 () (@var "V_f" $$unsorted)) % 16.03/16.29 (define @t49 () (tptp.hAPP @t48 tptp.v_x)) % 16.03/16.29 (define @t50 () (tptp.tc_fun tptp.t_a @t5)) % 16.03/16.29 (define @t51 () (not (tptp.class_Lattices_Olattice @t5))) % 16.03/16.29 (define @t52 () (@list @t5 @t48 @t46)) % 16.03/16.29 (define @t53 () (tptp.c_Relation_ODomain @t7 @t1 @t5)) % 16.03/16.29 (define @t54 () (tptp.c_Relation_ODomain @t8 @t1 @t5)) % 16.03/16.29 (define @t55 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t8 @t12)) % 16.03/16.29 (define @t56 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t8 @t12)) % 16.03/16.29 (define @t57 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t2 @t12)) % 16.03/16.29 (define @t58 () (@list @t7 @t2 @t1 @t8)) % 16.03/16.29 (define @t59 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t2 @t12)) % 16.03/16.29 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t57 @t12)) % 16.03/16.29 (define @t61 () (@list @t8 @t7 @t2 @t1)) % 16.03/16.29 (define @t62 () (@var "V_z" $$unsorted)) % 16.03/16.29 (define @t63 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t62 @t1)) % 16.03/16.29 (define @t64 () (@var "V_y" $$unsorted)) % 16.03/16.29 (define @t65 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t64 @t1)) % 16.03/16.29 (define @t66 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t63 @t1)) % 16.03/16.29 (define @t67 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t64 @t62 @t1)) % 16.03/16.29 (define @t68 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t67 @t1)) % 16.03/16.29 (define @t69 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 16.03/16.29 (define @t70 () (@list @t1 @t3 @t64 @t62)) % 16.03/16.29 (define @t71 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t3 @t1)) % 16.03/16.29 (define @t72 () (@list @t1 @t64 @t62 @t3)) % 16.03/16.29 (define @t73 () (tptp.c_Product__Type_OSigma @t8 (tptp.c_COMBK @t8 @t12 @t1) @t1 @t1)) % 16.03/16.29 (define @t74 () (tptp.c_Relation_OId__on @t8 @t1)) % 16.03/16.29 (define @t75 () (@list @t8 @t1)) % 16.03/16.29 (define @t76 () (tptp.c_Relation_Orefl__on @t8 @t31 @t1)) % 16.03/16.29 (define @t77 () (not @t76)) % 16.03/16.29 (define @t78 () (tptp.c_lessequals @t31 @t73 @t29)) % 16.03/16.29 (define @t79 () (@list @t31 @t8 @t1)) % 16.03/16.29 (define @t80 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 16.03/16.29 (define @t81 () (@list @t1 @t3)) % 16.03/16.29 (define @t82 () (@var "V_r_H" $$unsorted)) % 16.03/16.29 (define @t83 () (not (tptp.c_lessequals @t82 @t31 @t36))) % 16.03/16.29 (define @t84 () (@var "T_c" $$unsorted)) % 16.03/16.29 (define @t85 () (tptp.tc_prod @t5 @t84)) % 16.03/16.29 (define @t86 () (tptp.tc_fun @t85 tptp.tc_bool)) % 16.03/16.29 (define @t87 () (@var "V_s_H" $$unsorted)) % 16.03/16.29 (define @t88 () (tptp.tc_prod @t1 @t84)) % 16.03/16.29 (define @t89 () (tptp.tc_fun @t88 tptp.tc_bool)) % 16.03/16.29 (define @t90 () (tptp.c_Relation_Orel__comp @t31 @t30 @t1 @t5 @t84)) % 16.03/16.29 (define @t91 () (@var "V_S" $$unsorted)) % 16.03/16.29 (define @t92 () (@var "V_R" $$unsorted)) % 16.03/16.29 (define @t93 () (tptp.c_Relation_OImage @t92 @t8 @t5 @t1)) % 16.03/16.29 (define @t94 () (tptp.c_Relation_OImage @t92 @t7 @t5 @t1)) % 16.03/16.29 (define @t95 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t6)) % 16.03/16.29 (define @t96 () (@list @t92 @t8 @t7 @t5 @t1)) % 16.03/16.29 (define @t97 () (tptp.c_Wellfounded_Owf @t92 @t1)) % 16.03/16.29 (define @t98 () (not @t97)) % 16.03/16.29 (define @t99 () (@var "V_P" $$unsorted)) % 16.03/16.29 (define @t100 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t99 @t92 @t1)) % 16.03/16.29 (define @t101 () (@var "V_Rb" $$unsorted)) % 16.03/16.29 (define @t102 () (tptp.c_Set_Oinsert @t3 @t8 @t1)) % 16.03/16.29 (define @t103 () (tptp.c_Set_Oinsert @t64 @t8 @t1)) % 16.03/16.29 (define @t104 () (@var "V_Q" $$unsorted)) % 16.03/16.29 (define @t105 () (@var "V_xa" $$unsorted)) % 16.03/16.29 (define @t106 () (tptp.c_COMBK @t7 @t6 @t1)) % 16.03/16.29 (define @t107 () (not (tptp.c_lessequals @t31 (tptp.c_Product__Type_OSigma @t8 @t106 @t1 @t5) @t36))) % 16.03/16.29 (define @t108 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 16.03/16.29 (define @t109 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 16.03/16.29 (define @t110 () (@var "V_y_H" $$unsorted)) % 16.03/16.29 (define @t111 () (@var "V_x_H" $$unsorted)) % 16.03/16.29 (define @t112 () (tptp.c_HOL_Ominus__class_Ominus @t111 @t110 @t1)) % 16.03/16.29 (define @t113 () (tptp.c_Set_Oimage @t48 @t7 @t5 @t1)) % 16.03/16.29 (define @t114 () (tptp.c_Set_Oimage @t48 @t8 @t5 @t1)) % 16.03/16.29 (define @t115 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t2 @t12)) % 16.03/16.29 (define @t116 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t57 @t12)) % 16.03/16.29 (define @t117 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t12)) % 16.03/16.29 (define @t118 () (@list @t8 @t7 @t1 @t2)) % 16.03/16.29 (define @t119 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t67 @t1)) % 16.03/16.29 (define @t120 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t64 @t1)) % 16.03/16.29 (define @t121 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t62 @t1) @t119)) % 16.03/16.29 (define @t122 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t62 @t1)) % 16.03/16.29 (define @t123 () (= @t119 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t64 @t122 @t1))) % 16.03/16.29 (define @t124 () (not (tptp.class_Lattices_Olattice @t1))) % 16.03/16.29 (define @t125 () (tptp.c_lessequals @t8 @t7 @t12)) % 16.03/16.29 (define @t126 () (not @t125)) % 16.03/16.29 (define @t127 () (not (tptp.c_lessequals @t7 @t8 @t12))) % 16.03/16.29 (define @t128 () (tptp.c_lessequals @t3 @t64 @t1)) % 16.03/16.29 (define @t129 () (not @t128)) % 16.03/16.29 (define @t130 () (= @t65 @t3)) % 16.03/16.29 (define @t131 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 16.03/16.29 (define @t132 () (@list @t1 @t3 @t64)) % 16.03/16.29 (define @t133 () (tptp.c_lessequals @t64 @t3 @t1)) % 16.03/16.29 (define @t134 () (not @t133)) % 16.03/16.29 (define @t135 () (tptp.c_lessequals @t8 @t2 @t12)) % 16.03/16.29 (define @t136 () (not @t135)) % 16.03/16.29 (define @t137 () (tptp.c_lessequals @t7 @t2 @t12)) % 16.03/16.29 (define @t138 () (not @t137)) % 16.03/16.29 (define @t139 () (tptp.c_lessequals @t117 @t2 @t12)) % 16.03/16.29 (define @t140 () (@list @t7 @t8 @t1)) % 16.03/16.29 (define @t141 () (@var "V_a" $$unsorted)) % 16.03/16.29 (define @t142 () (tptp.c_lessequals @t141 @t3 @t1)) % 16.03/16.29 (define @t143 () (not @t142)) % 16.03/16.29 (define @t144 () (@var "V_b" $$unsorted)) % 16.03/16.29 (define @t145 () (tptp.c_lessequals @t144 @t3 @t1)) % 16.03/16.29 (define @t146 () (not @t145)) % 16.03/16.29 (define @t147 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t141 @t144 @t1)) % 16.03/16.29 (define @t148 () (tptp.c_lessequals @t147 @t3 @t1)) % 16.03/16.29 (define @t149 () (@list @t1 @t141 @t144 @t3)) % 16.03/16.29 (define @t150 () (tptp.c_lessequals @t3 @t120 @t1)) % 16.03/16.29 (define @t151 () (tptp.c_lessequals @t64 @t120 @t1)) % 16.03/16.29 (define @t152 () (@list @t1 @t64 @t3)) % 16.03/16.29 (define @t153 () (tptp.c_lessequals @t62 @t3 @t1)) % 16.03/16.29 (define @t154 () (tptp.hBOOL (tptp.c_in @t3 @t7 @t1))) % 16.03/16.29 (define @t155 () (not @t154)) % 16.03/16.29 (define @t156 () (tptp.c_HOL_Ominus__class_Ominus @t102 @t7 @t12)) % 16.03/16.29 (define @t157 () (@list @t3 @t8 @t1 @t7)) % 16.03/16.29 (define @t158 () (tptp.c_lessequals @t102 @t7 @t12)) % 16.03/16.29 (define @t159 () (not @t158)) % 16.03/16.29 (define @t160 () (@list @t8 @t7 @t1 @t3)) % 16.03/16.29 (define @t161 () (tptp.c_Set_Oinsert @t144 @t7 @t1)) % 16.03/16.29 (define @t162 () (tptp.c_Relation_ORange @t7 @t5 @t1)) % 16.03/16.29 (define @t163 () (tptp.c_Relation_ORange @t8 @t5 @t1)) % 16.03/16.29 (define @t164 () (tptp.c_Wellfounded_Owf @t31 @t1)) % 16.03/16.29 (define @t165 () (not @t164)) % 16.03/16.29 (define @t166 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t99 @t31 @t1)) % 16.03/16.29 (define @t167 () (tptp.hBOOL (tptp.hAPP @t99 @t141))) % 16.03/16.29 (define @t168 () (@list @t99 @t141 @t31 @t1)) % 16.03/16.29 (define @t169 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t91 @t29)) % 16.03/16.29 (define @t170 () (tptp.c_Transitive__Closure_Ortrancl @t169 @t1)) % 16.03/16.29 (define @t171 () (tptp.c_Transitive__Closure_Ortrancl @t91 @t1)) % 16.03/16.29 (define @t172 () (tptp.c_Transitive__Closure_Ortrancl @t92 @t1)) % 16.03/16.29 (define @t173 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t172 @t171 @t29)) % 16.03/16.29 (define @t174 () (@list @t92 @t1 @t91)) % 16.03/16.29 (define @t175 () (tptp.c_Set_Oinsert @t141 @t7 @t1)) % 16.03/16.29 (define @t176 () (@list @t141 @t7 @t1 @t2)) % 16.03/16.29 (define @t177 () (@list @t8 @t141 @t7 @t1)) % 16.03/16.29 (define @t178 () (@list @t1 @t8)) % 16.03/16.29 (define @t179 () (tptp.c_Orderings_Obot__class_Obot @t29)) % 16.03/16.29 (define @t180 () (@list @t1 @t7)) % 16.03/16.29 (define @t181 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 16.03/16.29 (define @t182 () (tptp.c_Set_Oinsert @t141 @t18 @t1)) % 16.03/16.29 (define @t183 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t175 @t12)) % 16.03/16.29 (define @t184 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t182 @t12)) % 16.03/16.29 (define @t185 () (tptp.c_Set_Oinsert @t141 @t8 @t1)) % 16.03/16.29 (define @t186 () (@list @t141 @t8 @t1)) % 16.03/16.29 (define @t187 () (tptp.c_Set_Oinsert @t141 @t43 @t1)) % 16.03/16.29 (define @t188 () (@list @t3 @t8 @t1)) % 16.03/16.29 (define @t189 () (tptp.hBOOL (tptp.hAPP @t103 @t3))) % 16.03/16.29 (define @t190 () (tptp.hBOOL (tptp.hAPP @t8 @t3))) % 16.03/16.29 (define @t191 () (tptp.c_Relation_ODomain @t31 @t1 @t5)) % 16.03/16.29 (define @t192 () (tptp.c_Pair @t141 @t144 @t1 @t5)) % 16.03/16.29 (define @t193 () (@list @t141 @t144 @t1 @t5 @t31)) % 16.03/16.29 (define @t194 () (tptp.c_Relation_Osym @t31 @t1)) % 16.03/16.29 (define @t195 () (not @t194)) % 16.03/16.29 (define @t196 () (not (tptp.c_Relation_Osym @t30 @t1))) % 16.03/16.29 (define @t197 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t30 @t29)) % 16.03/16.29 (define @t198 () (@list @t31 @t30 @t1)) % 16.03/16.29 (define @t199 () (tptp.c_Transitive__Closure_Ortrancl @t30 @t1)) % 16.03/16.29 (define @t200 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t1)) % 16.03/16.29 (define @t201 () (tptp.c_lessequals @t200 @t199 @t29)) % 16.03/16.29 (define @t202 () (@list @t8 @t7 @t1 @t5)) % 16.03/16.29 (define @t203 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 16.03/16.29 (define @t204 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t7 @t6)) % 16.03/16.29 (define @t205 () (@list @t48 @t8 @t7 @t5 @t1)) % 16.03/16.29 (define @t206 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t93 @t94 @t12)) % 16.03/16.29 (define @t207 () (tptp.c_Relation_OImage @t92 @t204 @t5 @t1)) % 16.03/16.29 (define @t208 () (tptp.c_lessequals @t2 @t8 @t12)) % 16.03/16.29 (define @t209 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t2 @t12) @t60)) % 16.03/16.29 (define @t210 () (not @t208)) % 16.03/16.29 (define @t211 () (tptp.tc_fun @t84 tptp.tc_bool)) % 16.03/16.29 (define @t212 () (tptp.c_Wellfounded_Owf @t169 @t1)) % 16.03/16.29 (define @t213 () (@list @t92 @t91 @t1)) % 16.03/16.29 (define @t214 () (tptp.hBOOL (tptp.hAPP @t117 @t3))) % 16.03/16.29 (define @t215 () (tptp.hBOOL (tptp.hAPP @t7 @t3))) % 16.03/16.29 (define @t216 () (@list @t7 @t3 @t8 @t1)) % 16.03/16.29 (define @t217 () (not @t215)) % 16.03/16.29 (define @t218 () (not @t190)) % 16.03/16.29 (define @t219 () (tptp.c_COMBK @t2 @t6 @t1)) % 16.03/16.29 (define @t220 () (tptp.c_Product__Type_OSigma @t7 @t219 @t1 @t5)) % 16.03/16.29 (define @t221 () (tptp.c_Product__Type_OSigma @t8 @t219 @t1 @t5)) % 16.03/16.29 (define @t222 () (@list @t8 @t7 @t1 @t2 @t5)) % 16.03/16.29 (define @t223 () (not (tptp.c_Relation_Orefl__on @t7 @t30 @t1))) % 16.03/16.29 (define @t224 () (@list @t8 @t7 @t1 @t31 @t30)) % 16.03/16.29 (define @t225 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t62 @t1)) % 16.03/16.29 (define @t226 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t225 @t1)) % 16.03/16.29 (define @t227 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t62 @t1) @t226)) % 16.03/16.29 (define @t228 () (= @t226 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t63 @t1))) % 16.03/16.29 (define @t229 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t2 @t12)) % 16.03/16.29 (define @t230 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t229 @t12)) % 16.03/16.29 (define @t231 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t144 @t7 @t5) @t6 @t1)) % 16.03/16.29 (define @t232 () (@list @t2 @t8 @t7 @t1)) % 16.03/16.29 (define @t233 () (tptp.c_HOL_Ominus__class_Ominus @t59 @t229 @t12)) % 16.03/16.29 (define @t234 () (tptp.c_Orderings_Obot__class_Obot @t6)) % 16.03/16.29 (define @t235 () (= @t8 @t234)) % 16.03/16.29 (define @t236 () (@var "V_c" $$unsorted)) % 16.03/16.29 (define @t237 () (tptp.c_COMBK @t236 @t1 @t5)) % 16.03/16.29 (define @t238 () (@var "V_D" $$unsorted)) % 16.03/16.29 (define @t239 () (@list @t8 @t7 @t1 @t2 @t238)) % 16.03/16.29 (define @t240 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t120 @t122 @t1)) % 16.03/16.29 (define @t241 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t225 @t1)) % 16.03/16.29 (define @t242 () (@list @t8 @t2 @t1 @t7)) % 16.03/16.29 (define @t243 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t99 @t31 @t1)) % 16.03/16.29 (define @t244 () (@var "V_xb" $$unsorted)) % 16.03/16.29 (define @t245 () (tptp.c_Relation_Oconverse @t31 @t1 @t1)) % 16.03/16.29 (define @t246 () (tptp.c_Wellfounded_Oacyclic @t245 @t1)) % 16.03/16.29 (define @t247 () (tptp.c_Wellfounded_Oacyclic @t31 @t1)) % 16.03/16.29 (define @t248 () (@list @t31 @t1)) % 16.03/16.29 (define @t249 () (not @t247)) % 16.03/16.29 (define @t250 () (= @t8 @t7)) % 16.03/16.29 (define @t251 () (= @t3 @t64)) % 16.03/16.29 (define @t252 () (not (tptp.class_Orderings_Oorder @t1))) % 16.03/16.29 (define @t253 () (= @t120 @t64)) % 16.03/16.29 (define @t254 () (= @t117 @t7)) % 16.03/16.29 (define @t255 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t30 @t29)) % 16.03/16.29 (define @t256 () (= @t141 @t236)) % 16.03/16.29 (define @t257 () (@var "V_d" $$unsorted)) % 16.03/16.29 (define @t258 () (= @t141 @t257)) % 16.03/16.29 (define @t259 () (tptp.c_Set_Oinsert @t144 @t18 @t1)) % 16.03/16.29 (define @t260 () (tptp.c_Set_Oinsert @t141 @t259 @t1)) % 16.03/16.29 (define @t261 () (not (= @t260 (tptp.c_Set_Oinsert @t236 (tptp.c_Set_Oinsert @t257 @t18 @t1) @t1)))) % 16.03/16.29 (define @t262 () (@list @t141 @t144 @t1 @t236 @t257)) % 16.03/16.29 (define @t263 () (= @t144 @t236)) % 16.03/16.29 (define @t264 () (= @t144 @t257)) % 16.03/16.29 (define @t265 () (not @t78)) % 16.03/16.29 (define @t266 () (@list @t31 @t1 @t8)) % 16.03/16.29 (define @t267 () (= @t8 @t18)) % 16.03/16.29 (define @t268 () (@list @t1)) % 16.03/16.29 (define @t269 () (tptp.hBOOL (tptp.c_in @t141 @t2 @t1))) % 16.03/16.29 (define @t270 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t175 @t2 @t12)) % 16.03/16.29 (define @t271 () (tptp.hBOOL (tptp.c_in @t141 @t8 @t1))) % 16.03/16.29 (define @t272 () (not @t271)) % 16.03/16.29 (define @t273 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t175 @t12)) % 16.03/16.29 (define @t274 () (tptp.hAPP @t48 @t141)) % 16.03/16.29 (define @t275 () (not (tptp.c_lessequals @t7 @t238 @t12))) % 16.03/16.29 (define @t276 () (tptp.c_Relation_Oconverse @t30 @t5 @t1)) % 16.03/16.29 (define @t277 () (tptp.c_Relation_Oconverse @t31 @t5 @t1)) % 16.03/16.29 (define @t278 () (@list @t31 @t30 @t5 @t1)) % 16.03/16.29 (define @t279 () (tptp.c_lessequals @t65 @t3 @t1)) % 16.03/16.29 (define @t280 () (tptp.c_lessequals @t65 @t64 @t1)) % 16.03/16.29 (define @t281 () (tptp.c_lessequals @t3 @t62 @t1)) % 16.03/16.29 (define @t282 () (not @t281)) % 16.03/16.29 (define @t283 () (tptp.c_lessequals @t3 @t225 @t1)) % 16.03/16.29 (define @t284 () (tptp.c_lessequals @t3 @t141 @t1)) % 16.03/16.29 (define @t285 () (not @t284)) % 16.03/16.29 (define @t286 () (tptp.c_lessequals @t3 @t144 @t1)) % 16.03/16.29 (define @t287 () (not @t286)) % 16.03/16.29 (define @t288 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t141 @t144 @t1)) % 16.03/16.29 (define @t289 () (tptp.c_lessequals @t3 @t288 @t1)) % 16.03/16.29 (define @t290 () (@list @t1 @t3 @t141 @t144)) % 16.03/16.29 (define @t291 () (tptp.c_lessequals @t2 @t7 @t12)) % 16.03/16.29 (define @t292 () (tptp.c_lessequals @t2 @t43 @t12)) % 16.03/16.29 (define @t293 () (tptp.c_lessequals @t64 @t62 @t1)) % 16.03/16.29 (define @t294 () (not @t293)) % 16.03/16.29 (define @t295 () (tptp.c_lessequals @t120 @t62 @t1)) % 16.03/16.29 (define @t296 () (= @t65 @t71)) % 16.03/16.29 (define @t297 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t8 @t12)) % 16.03/16.29 (define @t298 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t297 @t12)) % 16.03/16.29 (define @t299 () (tptp.c_Set_Oinsert @t141 @t184 @t1)) % 16.03/16.29 (define @t300 () (= @t141 @t144)) % 16.03/16.29 (define @t301 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t8 @t12)) % 16.03/16.29 (define @t302 () (tptp.c_Relation_OField @t31 @t1)) % 16.03/16.29 (define @t303 () (tptp.c_Pair @t141 @t144 @t1 @t1)) % 16.03/16.29 (define @t304 () (@list @t141 @t144 @t1 @t31)) % 16.03/16.29 (define @t305 () (@list @t3 @t7 @t1 @t8)) % 16.03/16.29 (define @t306 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t8 @t31 @t1)) % 16.03/16.29 (define @t307 () (not @t306)) % 16.03/16.29 (define @t308 () (tptp.c_Relation_Ototal__on @t8 @t31 @t1)) % 16.03/16.29 (define @t309 () (@list @t8 @t31 @t1)) % 16.03/16.29 (define @t310 () (not (= @t117 @t18))) % 16.03/16.29 (define @t311 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t1) @t181))) % 16.03/16.29 (define @t312 () (@list @t1 @t8 @t7)) % 16.03/16.29 (define @t313 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t8 @t12)) % 16.03/16.29 (define @t314 () (@var "V_T" $$unsorted)) % 16.03/16.29 (define @t315 () (tptp.tc_prod @t84 @t5)) % 16.03/16.29 (define @t316 () (tptp.tc_fun @t315 tptp.tc_bool)) % 16.03/16.29 (define @t317 () (tptp.c_Relation_OField @t30 @t1)) % 16.03/16.29 (define @t318 () (not @t292)) % 16.03/16.29 (define @t319 () (not @t289)) % 16.03/16.29 (define @t320 () (tptp.c_lessequals @t288 @t3 @t1)) % 16.03/16.29 (define @t321 () (not @t283)) % 16.03/16.29 (define @t322 () (@list @t1 @t3 @t62 @t64)) % 16.03/16.29 (define @t323 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t2 @t12)) % 16.03/16.29 (define @t324 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t2 @t12)) % 16.03/16.29 (define @t325 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 16.03/16.29 (define @t326 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t64 @t3 @t1)) % 16.03/16.29 (define @t327 () (= @t120 @t326)) % 16.03/16.29 (define @t328 () (@var "V_R2" $$unsorted)) % 16.03/16.29 (define @t329 () (@var "V_R1" $$unsorted)) % 16.03/16.29 (define @t330 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t120 @t1) @t120)) % 16.03/16.29 (define @t331 () (@list @t8 @t7 @t5 @t1)) % 16.03/16.29 (define @t332 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t99 @t31 @t1)) % 16.03/16.29 (define @t333 () (tptp.hBOOL (tptp.hAPP @t43 @t3))) % 16.03/16.29 (define @t334 () (not @t333)) % 16.03/16.29 (define @t335 () (tptp.c_Relation_ORange @t31 @t5 @t1)) % 16.03/16.29 (define @t336 () (tptp.c_Pair @t141 @t144 @t5 @t1)) % 16.03/16.29 (define @t337 () (@list @t141 @t144 @t5 @t1 @t31)) % 16.03/16.29 (define @t338 () (tptp.c_lessequals @t8 @t57 @t12)) % 16.03/16.29 (define @t339 () (tptp.c_lessequals @t42 @t2 @t12)) % 16.03/16.29 (define @t340 () (= (tptp.c_Recdef_Ocut @t48 @t31 @t3 @t1 @t5) (tptp.c_Recdef_Ocut @t46 @t31 @t3 @t1 @t5))) % 16.03/16.29 (define @t341 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t48 @t46 @t31 @t3 @t1 @t5)) % 16.03/16.29 (define @t342 () (tptp.c_Pair @t64 @t3 @t1 @t1)) % 16.03/16.29 (define @t343 () (tptp.c_Set_Oinsert @t342 @t31 @t28)) % 16.03/16.29 (define @t344 () (tptp.c_Wellfounded_Oacyclic @t343 @t1)) % 16.03/16.29 (define @t345 () (not @t344)) % 16.03/16.29 (define @t346 () (@list @t31 @t1 @t64 @t3)) % 16.03/16.29 (define @t347 () (tptp.hAPP @t48 @t3)) % 16.03/16.29 (define @t348 () (tptp.hBOOL (tptp.c_in @t236 @t8 @t1))) % 16.03/16.29 (define @t349 () (not @t348)) % 16.03/16.29 (define @t350 () (tptp.hBOOL (tptp.c_in @t236 @t7 @t1))) % 16.03/16.29 (define @t351 () (not @t350)) % 16.03/16.29 (define @t352 () (tptp.hBOOL (tptp.c_in @t236 @t43 @t1))) % 16.03/16.29 (define @t353 () (@list @t236 @t8 @t7 @t1)) % 16.03/16.29 (define @t354 () (tptp.hBOOL (tptp.c_in @t141 (tptp.c_Set_Oinsert @t144 @t8 @t1) @t1))) % 16.03/16.29 (define @t355 () (@var "V_t" $$unsorted)) % 16.03/16.29 (define @t356 () (@list @t236 @t7 @t1 @t8)) % 16.03/16.29 (define @t357 () (tptp.hBOOL (tptp.c_in @t236 @t117 @t1))) % 16.03/16.29 (define @t358 () (tptp.hBOOL (tptp.c_in @t236 @t42 @t1))) % 16.03/16.29 (define @t359 () (not @t358)) % 16.03/16.29 (define @t360 () (@list @t236 @t8 @t1 @t7)) % 16.03/16.29 (define @t361 () (not @t352)) % 16.03/16.29 (define @t362 () (tptp.c_snd @t5 @t1)) % 16.03/16.29 (define @t363 () (@var "V_p" $$unsorted)) % 16.03/16.29 (define @t364 () (@var "V_q" $$unsorted)) % 16.03/16.29 (define @t365 () (tptp.c_Relation_Otrans @t31 @t1)) % 16.03/16.29 (define @t366 () (not @t365)) % 16.03/16.29 (define @t367 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t65 @t1) @t65)) % 16.03/16.29 (define @t368 () (tptp.c_Relation_ORange @t31 @t1 @t1)) % 16.03/16.29 (define @t369 () (tptp.c_Relation_ODomain @t31 @t1 @t1)) % 16.03/16.29 (define @t370 () (not @t295)) % 16.03/16.29 (define @t371 () (tptp.c_lessequals @t3 @t147 @t1)) % 16.03/16.29 (define @t372 () (not @t148)) % 16.03/16.29 (define @t373 () (not @t139)) % 16.03/16.29 (define @t374 () (@list @t3 @t1)) % 16.03/16.29 (define @t375 () (not (tptp.c_lessequals @t99 @t104 @t12))) % 16.03/16.29 (define @t376 () (tptp.hBOOL (tptp.hAPP @t99 @t3))) % 16.03/16.29 (define @t377 () (not @t376)) % 16.03/16.29 (define @t378 () (tptp.hBOOL (tptp.hAPP @t104 @t3))) % 16.03/16.29 (define @t379 () (@list @t104 @t3 @t99 @t1)) % 16.03/16.29 (define @t380 () (tptp.c_lessequals @t3 @t3 @t1)) % 16.03/16.29 (define @t381 () (not (tptp.class_Orderings_Opreorder @t1))) % 16.03/16.29 (define @t382 () (tptp.c_Relation_Oantisym @t31 @t1)) % 16.03/16.29 (define @t383 () (not (tptp.c_lessequals @t31 @t30 @t36))) % 16.03/16.29 (define @t384 () (tptp.c_Relation_Osingle__valued @t31 @t1 @t5)) % 16.03/16.29 (define @t385 () (@list @t31 @t1 @t5 @t30)) % 16.03/16.29 (define @t386 () (tptp.c_lessequals @t110 @t111 @t1)) % 16.03/16.29 (define @t387 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t64 @t1) @t112))) % 16.03/16.29 (define @t388 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 16.03/16.29 (define @t389 () (@list @t1 @t3 @t64 @t111 @t110)) % 16.03/16.29 (define @t390 () (tptp.c_Set_Oimage @t48 @t8 @t1 @t5)) % 16.03/16.29 (define @t391 () (@list @t3 @t8 @t5 @t48 @t1)) % 16.03/16.29 (define @t392 () (@var "V_A_H" $$unsorted)) % 16.03/16.29 (define @t393 () (tptp.c_Relation_OImage @t31 @t8 @t1 @t5)) % 16.03/16.29 (define @t394 () (not (tptp.c_Equiv__Relations_Oequiv @t8 @t31 @t1))) % 16.03/16.29 (define @t395 () (tptp.c_Relation_Oirrefl @t31 @t1)) % 16.03/16.29 (define @t396 () (tptp.c_Pair @t3 @t64 @t1 @t1)) % 16.03/16.29 (define @t397 () (tptp.hBOOL (tptp.c_in @t396 @t200 @t28))) % 16.03/16.29 (define @t398 () (@list @t64 @t3 @t1 @t31)) % 16.03/16.29 (define @t399 () (not @t397)) % 16.03/16.29 (define @t400 () (@list @t3 @t64 @t1 @t31)) % 16.03/16.29 (define @t401 () (tptp.hBOOL (tptp.c_in @t303 @t200 @t28))) % 16.03/16.29 (define @t402 () (not @t401)) % 16.03/16.29 (define @t403 () (tptp.hBOOL (tptp.hAPP @t99 @t144))) % 16.03/16.29 (define @t404 () (not @t403)) % 16.03/16.29 (define @t405 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t99 @t144 @t31 @t1)) % 16.03/16.29 (define @t406 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t99 @t144 @t31 @t1)) % 16.03/16.29 (define @t407 () (@list @t99 @t141 @t144 @t31 @t1)) % 16.03/16.29 (define @t408 () (not @t167)) % 16.03/16.29 (define @t409 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t99 @t141 @t31 @t1)) % 16.03/16.29 (define @t410 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t99 @t141 @t31 @t1)) % 16.03/16.29 (define @t411 () (@list @t99 @t144 @t141 @t31 @t1)) % 16.03/16.29 (define @t412 () (tptp.c_Relation_OId @t1)) % 16.03/16.29 (define @t413 () (@list @t48 @t3 @t8 @t1 @t5)) % 16.03/16.29 (define @t414 () (not (tptp.hBOOL (tptp.c_in @t3 @t8 @t5)))) % 16.03/16.29 (define @t415 () (tptp.c_Wellfounded_Owf @t343 @t1)) % 16.03/16.29 (define @t416 () (not @t415)) % 16.03/16.29 (define @t417 () (tptp.hBOOL (tptp.c_in @t3 @t170 @t28))) % 16.03/16.29 (define @t418 () (@list @t3 @t92 @t91 @t1)) % 16.03/16.29 (define @t419 () (tptp.hBOOL (tptp.c_in @t363 @t33 @t28))) % 16.03/16.29 (define @t420 () (tptp.c_Relation_Orel__comp @t92 @t92 @t1 @t1 @t1)) % 16.03/16.29 (define @t421 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t420 (tptp.c_Relation_Orel__comp @t91 @t92 @t1 @t1 @t1) @t29) @t91 @t29) @t1)) % 16.03/16.29 (define @t422 () (not (= (tptp.c_Relation_Orel__comp @t8 @t2 @t1 @t1 @t1) @t179))) % 16.03/16.29 (define @t423 () (@list @t92 @t1)) % 16.03/16.29 (define @t424 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t412 @t29)) % 16.03/16.29 (define @t425 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t412 @t29)) % 16.03/16.29 (define @t426 () (tptp.c_Relation_Oantisym @t425 @t1)) % 16.03/16.29 (define @t427 () (not @t382)) % 16.03/16.29 (define @t428 () (tptp.c_Relation_Ototal__on @t8 @t424 @t1)) % 16.03/16.29 (define @t429 () (not @t308)) % 16.03/16.29 (define @t430 () (tptp.hBOOL (tptp.c_in @t303 @t31 @t28))) % 16.03/16.29 (define @t431 () (not @t430)) % 16.03/16.29 (define @t432 () (tptp.c_Relation_OImage @t31 @t259 @t1 @t1)) % 16.03/16.29 (define @t433 () (tptp.c_Relation_OImage @t31 @t182 @t1 @t1)) % 16.03/16.29 (define @t434 () (@list @t31 @t141 @t1 @t144 @t8)) % 16.03/16.29 (define @t435 () (= @t433 @t432)) % 16.03/16.29 (define @t436 () (not @t435)) % 16.03/16.29 (define @t437 () (tptp.c_Product__Type_OSigma @t8 @t7 @t1 @t5)) % 16.03/16.29 (define @t438 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t141 @t144 @t31 @t1)) % 16.03/16.29 (define @t439 () (@list @t141 @t144 @t31 @t1)) % 16.03/16.29 (define @t440 () (tptp.c_Pair @t3 @t62 @t1 @t1)) % 16.03/16.29 (define @t441 () (not (tptp.hBOOL (tptp.c_in @t440 @t200 @t28)))) % 16.03/16.29 (define @t442 () (= @t3 @t62)) % 16.03/16.29 (define @t443 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t31 @t3 @t62 @t1)) % 16.03/16.29 (define @t444 () (@list @t31 @t3 @t62 @t1)) % 16.03/16.29 (define @t445 () (@list @t3 @t31 @t62 @t1)) % 16.03/16.29 (define @t446 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 16.03/16.29 (define @t447 () (tptp.c_Transitive__Closure_Ortrancl @t31 tptp.t_a)) % 16.03/16.29 (define @t448 () (@var "V_a2" $$unsorted)) % 16.03/16.29 (define @t449 () (@var "V_a1" $$unsorted)) % 16.03/16.29 (define @t450 () (tptp.c_Pair @t449 @t448 tptp.t_a tptp.t_a)) % 16.03/16.29 (define @t451 () (not (tptp.hBOOL (tptp.c_in @t450 @t447 @t446)))) % 16.03/16.29 (define @t452 () (= @t448 @t449)) % 16.03/16.29 (define @t453 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t449 @t448 @t31)) % 16.03/16.29 (define @t454 () (@list @t449 @t448 @t31)) % 16.03/16.29 (define @t455 () (tptp.hBOOL (tptp.hAPP @t99 @t64))) % 16.03/16.29 (define @t456 () (@list @t99 @t141 @t64 @t31 @t1)) % 16.03/16.29 (define @t457 () (@var "V_Ra" $$unsorted)) % 16.03/16.29 (define @t458 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t31 @t1)) % 16.03/16.29 (define @t459 () (tptp.c_Pair @t3 @t3 @t1 @t1)) % 16.03/16.29 (define @t460 () (tptp.hBOOL (tptp.c_in @t459 @t31 @t28))) % 16.03/16.29 (define @t461 () (not @t460)) % 16.03/16.29 (define @t462 () (@list @t3 @t1 @t31)) % 16.03/16.29 (define @t463 () (tptp.hBOOL (tptp.c_in @t440 @t33 @t28))) % 16.03/16.29 (define @t464 () (not @t463)) % 16.03/16.29 (define @t465 () (tptp.hBOOL (tptp.c_in @t440 @t31 @t28))) % 16.03/16.29 (define @t466 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t31 @t3 @t62 @t1)) % 16.03/16.29 (define @t467 () (tptp.c_Transitive__Closure_Otrancl @t92 @t1)) % 16.03/16.29 (define @t468 () (tptp.hBOOL (tptp.c_in @t396 @t467 @t28))) % 16.03/16.29 (define @t469 () (not @t468)) % 16.03/16.29 (define @t470 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t92 @t3 @t64 @t1)) % 16.03/16.29 (define @t471 () (@list @t3 @t92 @t64 @t1)) % 16.03/16.29 (define @t472 () (tptp.c_Transitive__Closure_Otrancl @t31 tptp.t_a)) % 16.03/16.29 (define @t473 () (not (tptp.hBOOL (tptp.c_in @t450 @t472 @t446)))) % 16.03/16.29 (define @t474 () (tptp.hBOOL (tptp.c_in @t450 @t31 @t446))) % 16.03/16.29 (define @t475 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t449 @t448 @t31)) % 16.03/16.29 (define @t476 () (not (tptp.hBOOL (tptp.c_in @t459 @t33 @t28)))) % 16.03/16.29 (define @t477 () (tptp.hBOOL (tptp.c_in @t303 @t33 @t28))) % 16.03/16.29 (define @t478 () (not @t477)) % 16.03/16.29 (define @t479 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t141 @t144 @t31 @t1)) % 16.03/16.29 (define @t480 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t92 @t3 @t64 @t1)) % 16.03/16.29 (define @t481 () (@list @t92 @t3 @t64 @t1)) % 16.03/16.29 (define @t482 () (not (tptp.hBOOL (tptp.c_in @t144 @t8 @t1)))) % 16.03/16.29 (define @t483 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t236 @t1 @t5) (tptp.c_Relation_Orel__comp @t31 @t30 @t1 @t84 @t5) @t35)))) % 16.03/16.29 (define @t484 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t141 @t236 @t31 @t30 @t1 @t5 @t84)) % 16.03/16.29 (define @t485 () (@list @t141 @t236 @t31 @t30 @t1 @t5 @t84)) % 16.03/16.29 (define @t486 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t363 @t1)) % 16.03/16.29 (define @t487 () (tptp.c_Orderings_Obot__class_Obot @t36)) % 16.03/16.29 (define @t488 () (tptp.c_Wellfounded_Oacc @t31 @t1)) % 16.03/16.29 (define @t489 () (not (tptp.hBOOL (tptp.c_in @t236 @t74 @t28)))) % 16.03/16.29 (define @t490 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t8 @t236 @t1)) % 16.03/16.29 (define @t491 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t412 @t29)) % 16.03/16.29 (define @t492 () (tptp.c_Relation_Orel__comp @t200 @t31 @t1 @t1 @t1)) % 16.03/16.29 (define @t493 () (tptp.c_Relation_Orel__comp @t245 @t31 @t1 @t1 @t1)) % 16.03/16.29 (define @t494 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t31 @t1)) % 16.03/16.29 (define @t495 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t31 @t1)) % 16.03/16.29 (define @t496 () (tptp.c_Nitpick_Orefl_H @t31 @t1)) % 16.03/16.29 (define @t497 () (not @t395)) % 16.03/16.29 (define @t498 () (tptp.hBOOL (tptp.c_in @t336 @t31 @t10))) % 16.03/16.29 (define @t499 () (tptp.hBOOL (tptp.c_in @t144 (tptp.c_Relation_OImage @t31 (tptp.c_Set_Oinsert @t141 @t234 @t5) @t5 @t1) @t1))) % 16.03/16.29 (define @t500 () (tptp.hBOOL (tptp.c_in @t396 @t31 @t28))) % 16.03/16.29 (define @t501 () (not @t500)) % 16.03/16.29 (define @t502 () (= (tptp.c_Relation_OImage @t31 @t19 @t1 @t1) (tptp.c_Relation_OImage @t31 (tptp.c_Set_Oinsert @t64 @t18 @t1) @t1 @t1))) % 16.03/16.29 (define @t503 () (@list @t31 @t3 @t1 @t64 @t8)) % 16.03/16.29 (define @t504 () (tptp.hBOOL (tptp.c_in @t64 @t8 @t1))) % 16.03/16.29 (define @t505 () (not @t504)) % 16.03/16.29 (define @t506 () (not @t502)) % 16.03/16.29 (define @t507 () (not (tptp.hBOOL (tptp.c_in @t3 @t18 @t1)))) % 16.03/16.29 (define @t508 () (@list @t99 @t3 @t1)) % 16.03/16.29 (define @t509 () (@var "T_aa" $$unsorted)) % 16.03/16.29 (define @t510 () (tptp.hBOOL (tptp.c_in @t347 @t114 @t1))) % 16.03/16.29 (define @t511 () (tptp.c_Pair @t141 @t144 @t5 @t84)) % 16.03/16.29 (define @t512 () (@list @t48 @t5 @t84 @t1 @t141 @t144)) % 16.03/16.29 (define @t513 () (tptp.hAPP @t274 @t144)) % 16.03/16.29 (define @t514 () (tptp.c_split @t48 @t1 @t5 @t84)) % 16.03/16.29 (define @t515 () (tptp.c_Relation_Oconverse @t33 @t1 @t1)) % 16.03/16.29 (define @t516 () (tptp.hBOOL (tptp.c_in @t396 @t515 @t28))) % 16.03/16.29 (define @t517 () (tptp.c_Transitive__Closure_Otrancl @t245 @t1)) % 16.03/16.29 (define @t518 () (tptp.hBOOL (tptp.c_in @t396 @t517 @t28))) % 16.03/16.29 (define @t519 () (tptp.c_Pair @t64 @t62 @t1 @t1)) % 16.03/16.29 (define @t520 () (@list @t3 @t62 @t1 @t31 @t64)) % 16.03/16.29 (define @t521 () (tptp.c_Pair @t144 @t236 @t1 @t1)) % 16.03/16.29 (define @t522 () (not (tptp.hBOOL (tptp.c_in @t521 @t200 @t28)))) % 16.03/16.29 (define @t523 () (tptp.c_Pair @t141 @t236 @t1 @t1)) % 16.03/16.29 (define @t524 () (tptp.hBOOL (tptp.c_in @t523 @t33 @t28))) % 16.03/16.29 (define @t525 () (@list @t141 @t236 @t1 @t31 @t144)) % 16.03/16.29 (define @t526 () (tptp.c_Transitive__Closure_Ortrancl @t245 @t1)) % 16.03/16.29 (define @t527 () (tptp.hBOOL (tptp.c_in @t396 @t526 @t28))) % 16.03/16.29 (define @t528 () (tptp.hBOOL (tptp.c_in @t342 @t200 @t28))) % 16.03/16.29 (define @t529 () (tptp.hBOOL (tptp.c_in @t396 @t172 @t28))) % 16.03/16.29 (define @t530 () (not @t529)) % 16.03/16.29 (define @t531 () (@list @t3 @t64 @t1 @t92)) % 16.03/16.29 (define @t532 () (not (tptp.hBOOL (tptp.c_in @t521 @t31 @t28)))) % 16.03/16.29 (define @t533 () (not (tptp.hBOOL (tptp.c_in @t363 @t31 @t28)))) % 16.03/16.29 (define @t534 () (@list @t363 @t31 @t1)) % 16.03/16.29 (define @t535 () (tptp.c_Relation_Oinv__image @t31 @t48 @t1 @t5)) % 16.03/16.29 (define @t536 () (@list @t31 @t48 @t1 @t5)) % 16.03/16.29 (define @t537 () (tptp.c_Relation_Otrans @t245 @t1)) % 16.03/16.29 (define @t538 () (@list @t141 @t1)) % 16.03/16.29 (define @t539 () (tptp.hBOOL (tptp.c_in @t3 @t488 @t1))) % 16.03/16.29 (define @t540 () (@list @t3 @t31 @t1)) % 16.03/16.29 (define @t541 () (tptp.hBOOL (tptp.c_in @t144 (tptp.c_Relation_OImage @t31 @t8 @t5 @t1) @t1))) % 16.03/16.29 (define @t542 () (not @t541)) % 16.03/16.29 (define @t543 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t8 @t144 @t31 @t5 @t1)) % 16.03/16.29 (define @t544 () (@list @t8 @t144 @t31 @t5 @t1)) % 16.03/16.29 (define @t545 () (tptp.hBOOL (tptp.c_in @t141 @t488 @t1))) % 16.03/16.29 (define @t546 () (not @t545)) % 16.03/16.29 (define @t547 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t99 @t31 @t1)) % 16.03/16.29 (define @t548 () (tptp.c_Wellfounded_Oacc @t31 tptp.t_a)) % 16.03/16.29 (define @t549 () (not (tptp.hBOOL (tptp.c_in @t3 @t548 tptp.t_a)))) % 16.03/16.29 (define @t550 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t99 @t31)) % 16.03/16.29 (define @t551 () (@list @t99 @t3 @t31)) % 16.03/16.29 (define @t552 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t99 @t31 @t1)) % 16.03/16.29 (define @t553 () (tptp.c_Relation_Osym @t245 @t1)) % 16.03/16.29 (define @t554 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t8 @t144 @t31 @t5 @t1)) % 16.03/16.29 (define @t555 () (tptp.c_Set_Oimage @t48 @t234 @t5 @t1)) % 16.03/16.29 (define @t556 () (@list @t31 @t1 @t5)) % 16.03/16.29 (define @t557 () (tptp.c_Wellfounded_Oacc @t92 @t1)) % 16.03/16.29 (define @t558 () (tptp.hBOOL (tptp.c_in @t3 @t557 @t1))) % 16.03/16.29 (define @t559 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t92 @t3 @t1)) % 16.03/16.29 (define @t560 () (@list @t92 @t3 @t1)) % 16.03/16.29 (define @t561 () (@list @t48 @t1 @t5 @t84)) % 16.03/16.29 (define @t562 () (@list @t92 @t5 @t1)) % 16.03/16.29 (define @t563 () (tptp.c_Relation_Orefl__on @t8 @t245 @t1)) % 16.03/16.29 (define @t564 () (tptp.c_Wellfounded_Owf @t420 @t1)) % 16.03/16.29 (define @t565 () (= @t245 @t31)) % 16.03/16.29 (define @t566 () (tptp.c_Relation_Orel__comp @t31 @t200 @t1 @t1 @t1)) % 16.03/16.29 (define @t567 () (@var "T_d" $$unsorted)) % 16.03/16.29 (define @t568 () (= @t493 @t31)) % 16.03/16.29 (define @t569 () (tptp.c_Relation_Oconverse @t31 @t1 @t5)) % 16.03/16.29 (define @t570 () (not (tptp.hBOOL (tptp.c_in @t105 @t104 @t1)))) % 16.03/16.29 (define @t571 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t104 @t31 @t1)) % 16.03/16.29 (define @t572 () (not @t384)) % 16.03/16.29 (define @t573 () (tptp.c_Relation_Oantisym @t245 @t1)) % 16.03/16.29 (define @t574 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t99 @t31)) % 16.03/16.29 (define @t575 () (tptp.c_Orderings_Obot__class_Obot @t11)) % 16.03/16.29 (define @t576 () (not (tptp.hBOOL (tptp.c_in @t3 @t104 @t1)))) % 16.03/16.29 (define @t577 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t104 @t92 @t1)) % 16.03/16.29 (define @t578 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t31 @t3 @t1)) % 16.03/16.29 (define @t579 () (@var "V_r1" $$unsorted)) % 16.03/16.29 (define @t580 () (@var "V_r2" $$unsorted)) % 16.03/16.29 (define @t581 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t579 @t580 @t48 @t1 @t5 @t84))) % 16.03/16.29 (define @t582 () (tptp.c_Relation_ODomain @t277 @t1 @t5)) % 16.03/16.29 (define @t583 () (@list @t31 @t5 @t1)) % 16.03/16.29 (define @t584 () (tptp.c_Relation_Ototal__on @t8 @t245 @t1)) % 16.03/16.29 (define @t585 () (tptp.hBOOL (tptp.c_Predicate_Oinv__imagep @t31 @t48 @t3 @t64 @t1 @t5))) % 16.03/16.29 (define @t586 () (tptp.hAPP @t48 @t64)) % 16.03/16.29 (define @t587 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t347) @t586))) % 16.03/16.29 (define @t588 () (@list @t31 @t48 @t3 @t64 @t1 @t5)) % 16.03/16.29 (define @t589 () (@list @t99 @t3 @t64 @t31)) % 16.03/16.29 (define @t590 () (not (tptp.hBOOL (tptp.c_in @t64 @t104 @t1)))) % 16.03/16.29 (define @t591 () (tptp.c_Pair @t144 @t141 @t1 @t1)) % 16.03/16.29 (define @t592 () (not (tptp.hBOOL (tptp.c_in @t591 @t200 @t28)))) % 16.03/16.29 (define @t593 () (tptp.hBOOL (tptp.c_in @t144 @t488 @t1))) % 16.03/16.29 (define @t594 () (@list @t144 @t31 @t1 @t141)) % 16.03/16.29 (define @t595 () (@var "V_ya" $$unsorted)) % 16.03/16.29 (define @t596 () (tptp.hBOOL (tptp.c_in @t595 @t548 tptp.t_a))) % 16.03/16.29 (define @t597 () (@list @t99 @t3 @t595 @t31)) % 16.03/16.29 (define @t598 () (tptp.hBOOL (tptp.c_in @t459 @t172 @t28))) % 16.03/16.29 (define @t599 () (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Relation_ODomain @t92 @t1 @t1) @t1))) % 16.03/16.29 (define @t600 () (tptp.hBOOL (tptp.c_in @t141 @t191 @t1))) % 16.03/16.29 (define @t601 () (not @t600)) % 16.03/16.29 (define @t602 () (@list @t141 @t31 @t1 @t5)) % 16.03/16.29 (define @t603 () (tptp.hBOOL (tptp.c_in @t141 @t335 @t1))) % 16.03/16.29 (define @t604 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 @t31 @t1)) % 16.03/16.29 (define @t605 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 @t31 @t1)) % 16.03/16.29 (define @t606 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 @t31 @t1)) % 16.03/16.29 (define @t607 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 @t31 @t1)) % 16.03/16.29 (define @t608 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 @t31 @t1)) % 16.03/16.29 (define @t609 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 @t31 @t1)) % 16.03/16.29 (define @t610 () (tptp.c_Pair tptp.v_x tptp.v_y tptp.t_a tptp.t_b)) % 16.03/16.29 (define @t611 () (@var "V_z1" $$unsorted)) % 16.03/16.29 (define @t612 () (@var "V_y1" $$unsorted)) % 16.03/16.29 (define @t613 () (tptp.tc_prod @t5 @t5)) % 16.03/16.29 (define @t614 () (@var "V_z2" $$unsorted)) % 16.03/16.29 (define @t615 () (@var "V_y2" $$unsorted)) % 16.03/16.29 (define @t616 () (tptp.c_Pair @t3 @t64 @t1 @t5)) % 16.03/16.29 (define @t617 () (tptp.c_Pair @t3 @t141 @t1 @t1)) % 16.03/16.29 (define @t618 () (not (tptp.hBOOL (tptp.c_in @t617 @t31 @t28)))) % 16.03/16.29 (define @t619 () (tptp.hBOOL (tptp.c_in @t616 @t92 @t35))) % 16.03/16.29 (define @t620 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t92 @t1 @t5) @t3) @t64))) % 16.03/16.29 (define @t621 () (tptp.c_Pair @t144 @t141 @t5 @t1)) % 16.03/16.29 (define @t622 () (tptp.hBOOL (tptp.c_in @t621 @t31 @t10))) % 16.03/16.29 (define @t623 () (tptp.hBOOL (tptp.c_in @t192 @t277 @t35))) % 16.03/16.29 (define @t624 () (not (tptp.hBOOL (tptp.c_in @t192 @t31 @t35)))) % 16.03/16.29 (define @t625 () (@list @t144 @t141 @t5 @t1 @t31)) % 16.03/16.29 (define @t626 () (not (tptp.hBOOL (tptp.c_in @t521 @t33 @t28)))) % 16.03/16.29 (define @t627 () (tptp.hBOOL (tptp.c_in @t523 @t200 @t28))) % 16.03/16.29 (define @t628 () (tptp.c_Pair @t141 @t141 @t1 @t1)) % 16.03/16.29 (define @t629 () (@list @t141 @t1 @t31)) % 16.03/16.29 (define @t630 () (tptp.hBOOL (tptp.c_in @t342 @t31 @t28))) % 16.03/16.29 (define @t631 () (not @t630)) % 16.03/16.29 (define @t632 () (tptp.hBOOL (tptp.c_in @t591 @t31 @t28))) % 16.03/16.29 (define @t633 () (not (tptp.hBOOL (tptp.c_in @t519 @t31 @t28)))) % 16.03/16.29 (define @t634 () (not (tptp.hBOOL (tptp.c_in @t396 @t74 @t28)))) % 16.03/16.29 (define @t635 () (tptp.hBOOL (tptp.c_in @t628 @t31 @t28))) % 16.03/16.29 (define @t636 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t347 @t586 @t5 @t5) @t31 @t613))) % 16.03/16.29 (define @t637 () (tptp.hBOOL (tptp.c_in @t396 (tptp.c_Relation_Oinv__image @t31 @t48 @t5 @t1) @t28))) % 16.03/16.29 (define @t638 () (tptp.c_Orderings_Obot__class_Obot @t325)) % 16.03/16.29 (define @t639 () (tptp.tc_prod tptp.t_a tptp.t_b)) % 16.03/16.29 (define @t640 () (tptp.hBOOL (tptp.c_in @t144 (tptp.hAPP @t7 @t141) @t5))) % 16.03/16.29 (define @t641 () (tptp.hBOOL (tptp.c_in @t192 @t437 @t35))) % 16.03/16.29 (define @t642 () (@list @t64 @t8 @t1 @t3 @t31)) % 16.03/16.29 (define @t643 () (@list @t3 @t8 @t1 @t64 @t31)) % 16.03/16.29 (define @t644 () (not @t641)) % 16.03/16.29 (define @t645 () (@var "V_b_H" $$unsorted)) % 16.03/16.29 (define @t646 () (@var "V_a_H" $$unsorted)) % 16.03/16.29 (define @t647 () (not (= @t192 (tptp.c_Pair @t646 @t645 @t1 @t5)))) % 16.03/16.29 (define @t648 () (@list @t141 @t144 @t1 @t5 @t646 @t645)) % 16.03/16.29 (define @t649 () (forall @t520 (or @t465 @t633 @t501 @t366))) % 16.03/16.29 (define @t650 () (tptp.hBOOL (tptp.hAPP @t91 @t3))) % 16.03/16.29 (define @t651 () (tptp.hBOOL (tptp.c_in @t3 @t91 @t1))) % 16.03/16.29 (define @t652 () (tptp.c_Relation_Otrans tptp.v_L tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 16.03/16.29 (define @t653 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 16.03/16.29 (define @t654 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_y tptp.v_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t653))) % 16.03/16.29 (define @t655 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_y tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t653))) % 16.03/16.29 (define @t656 () (@var "T_1" $$unsorted)) % 16.03/16.29 (define @t657 () (not (tptp.class_Lattices_Olattice @t656))) % 16.03/16.29 (define @t658 () (@var "T_2" $$unsorted)) % 16.03/16.29 (define @t659 () (tptp.tc_fun @t658 @t656)) % 16.03/16.29 (define @t660 () (@list @t658 @t656)) % 16.03/16.29 (define @t661 () (@var "V_Y" $$unsorted)) % 16.03/16.29 (define @t662 () (@var "V_X" $$unsorted)) % 16.03/16.29 (define @t663 () (not @t652)) % 16.03/16.29 (define @t664 () (not @t655)) % 16.03/16.29 (define @t665 () (not @t654)) % 16.03/16.29 (define @t666 () (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 @t653))) % 16.03/16.29 (define @t667 () (or @t666 @t665 @t664 @t663)) % 16.03/16.29 (define @t668 () (not @t667)) % 16.03/16.29 (assume @p1 (forall @t17 (or @t16 (not @t9) @t4))) % 16.03/16.29 (assume @p2 (forall (@list @t8 @t7 @t5 @t2 @t1 @t3) (or @t9 (not @t16) @t4))) % 16.03/16.29 (assume @p3 (forall @t26 (or @t25 @t23 @t21))) % 16.03/16.29 (assume @p4 (forall (@list @t8 @t3 @t1 @t7) (or @t20 @t23 @t27))) % 16.03/16.29 (assume @p5 (forall @t34 (or (tptp.c_lessequals @t33 @t30 @t29) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t30 @t29) @t31 @t1 @t1 @t1) @t30 @t29)) @t32))) % 16.03/16.29 (assume @p6 (forall @t41 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t37 @t12) @t2 @t1 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t38 @t36)))) % 16.03/16.29 (assume @p7 (forall @t45 (or @t44 (= @t42 @t8)))) % 16.03/16.29 (assume @p8 (forall @t52 (or @t51 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t46 @t50) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t47 @t5))))) % 16.03/16.29 (assume @p9 (forall (@list @t8 @t1 @t5 @t7) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t54 @t53 @t12) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t36) @t1 @t5) @t12))) % 16.03/16.29 (assume @p10 (forall @t58 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t8 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t55 @t12)))) % 16.03/16.29 (assume @p11 (forall @t61 (= @t60 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t59 @t12)))) % 16.03/16.29 (assume @p12 (forall @t70 (or @t69 (= @t68 @t66)))) % 16.03/16.29 (assume @p13 (forall @t72 (or @t69 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t67 @t3 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t3 @t1) @t1))))) % 16.03/16.29 (assume @p14 (forall @t75 (tptp.c_lessequals @t74 @t73 @t29))) % 16.03/16.29 (assume @p15 (forall @t79 (or @t78 @t77))) % 16.03/16.29 (assume @p16 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t8 @t12) @t8))) % 16.03/16.29 (assume @p17 (forall @t81 (or @t80 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t1) @t3)))) % 16.03/16.29 (assume @p18 (forall (@list @t82 @t87 @t1 @t5 @t84 @t31 @t30) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t82 @t87 @t1 @t5 @t84) @t90 @t89) (not (tptp.c_lessequals @t87 @t30 @t86)) @t83))) % 16.03/16.29 (assume @p19 (forall (@list @t92 @t91 @t5 @t1 @t8) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t91 @t11) @t8 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t93 (tptp.c_Relation_OImage @t91 @t8 @t5 @t1) @t12)))) % 16.03/16.29 (assume @p20 (forall @t96 (= (tptp.c_Relation_OImage @t92 @t95 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t93 @t94 @t12)))) % 16.03/16.29 (assume @p21 (forall (@list @t99 @t101 @t92 @t1) (or (tptp.hBOOL (tptp.hAPP @t99 @t101)) (not (tptp.hBOOL (tptp.hAPP @t99 @t100))) @t98))) % 16.03/16.29 (assume @p22 (forall (@list @t3 @t64 @t8 @t1) (= (tptp.c_Set_Oinsert @t3 @t103 @t1) (tptp.c_Set_Oinsert @t64 @t102 @t1)))) % 16.03/16.29 (assume @p23 (forall (@list @t99 @t1 @t5 @t104) (= (tptp.hAPP (tptp.c_COMBK @t99 @t1 @t5) @t104) @t99))) % 16.03/16.29 (assume @p24 (forall @t45 (= (tptp.c_HOL_Ominus__class_Ominus @t42 @t7 @t12) @t42))) % 16.03/16.29 (assume @p25 (forall (@list @t105 @t3 @t1) (= (tptp.c_Set_Oinsert @t105 @t19 @t1) (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oinsert @t105 @t18 @t1) @t1)))) % 16.03/16.29 (assume @p26 (forall (@list @t31 @t2 @t1 @t5 @t7 @t8) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t31 @t2 @t1 @t5) @t7 @t6) @t107))) % 16.03/16.29 (assume @p27 (forall (@list @t1 @t105 @t64 @t3) (or @t109 (not (= (tptp.c_HOL_Ominus__class_Ominus @t105 @t64 @t1) @t108)) (= @t105 @t64)))) % 16.03/16.29 (assume @p28 (forall (@list @t1 @t3 @t111 @t110) (or @t109 (not (= @t108 @t112)) (= @t111 @t110)))) % 16.03/16.29 (assume @p29 (forall (@list @t48 @t8 @t5 @t1 @t7) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t114 @t113 @t12) (tptp.c_Set_Oimage @t48 (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t6) @t5 @t1) @t12))) % 16.03/16.29 (assume @p30 (forall @t61 (= @t116 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t115 @t12)))) % 16.03/16.29 (assume @p31 (forall @t118 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t117 @t2 @t12) @t116))) % 16.03/16.29 (assume @p32 (forall @t70 (or @t80 @t121))) % 16.03/16.29 (assume @p33 (forall @t70 (or @t80 @t123))) % 16.03/16.29 (assume @p34 (forall @t70 (or @t124 @t123))) % 16.03/16.29 (assume @p35 (forall @t70 (or @t124 @t121))) % 16.03/16.29 (assume @p36 (forall @t45 (or (= @t43 @t8) @t126))) % 16.03/16.29 (assume @p37 (forall @t45 (or (= @t43 @t7) @t127))) % 16.03/16.29 (assume @p38 (forall @t132 (or @t131 @t130 @t129))) % 16.03/16.29 (assume @p39 (forall @t132 (or @t131 (not @t130) @t128))) % 16.03/16.29 (assume @p40 (forall @t132 (or @t131 (= @t65 @t64) @t134))) % 16.03/16.29 (assume @p41 (forall @t118 (or @t139 @t138 @t136))) % 16.03/16.29 (assume @p42 (forall @t140 (tptp.c_lessequals @t7 @t117 @t12))) % 16.03/16.29 (assume @p43 (forall @t45 (tptp.c_lessequals @t8 @t117 @t12))) % 16.03/16.29 (assume @p44 (forall @t149 (or @t80 @t148 @t146 @t143))) % 16.03/16.29 (assume @p45 (forall @t132 (or @t80 @t150))) % 16.03/16.29 (assume @p46 (forall @t152 (or @t80 @t151))) % 16.03/16.29 (assume @p47 (forall @t72 (or @t80 (tptp.c_lessequals @t67 @t3 @t1) (not @t153) @t134))) % 16.03/16.29 (assume @p48 (forall @t157 (or (= @t156 @t42) @t155))) % 16.03/16.29 (assume @p49 (forall @t160 (or @t125 @t159))) % 16.03/16.29 (assume @p50 (forall (@list @t8 @t144 @t7 @t1) (or (tptp.c_lessequals @t8 @t161 @t12) @t126))) % 16.03/16.29 (assume @p51 (forall (@list @t8 @t5 @t1 @t7) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t163 @t162 @t12) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t11) @t5 @t1) @t12))) % 16.03/16.29 (assume @p52 (forall @t168 (or @t167 (not (tptp.hBOOL (tptp.hAPP @t99 @t166))) @t165))) % 16.03/16.29 (assume @p53 (forall @t174 (tptp.c_lessequals @t173 @t170 @t29))) % 16.03/16.29 (assume @p54 (forall @t176 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t175 @t2 @t12) (tptp.c_Set_Oinsert @t141 @t57 @t1)))) % 16.03/16.29 (assume @p55 (forall @t177 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t175 @t12) (tptp.c_Set_Oinsert @t141 @t117 @t1)))) % 16.03/16.29 (assume @p56 (forall @t178 (tptp.c_lessequals @t18 @t8 @t12))) % 16.03/16.29 (assume @p57 (forall @t180 (tptp.c_lessequals @t179 @t7 @t29))) % 16.03/16.29 (assume @p58 (forall @t81 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t181 @t3 @t1)))) % 16.03/16.29 (assume @p59 (forall @t177 (= @t183 (tptp.c_HOL_Ominus__class_Ominus @t42 @t182 @t12)))) % 16.03/16.29 (assume @p60 (forall @t177 (= @t183 (tptp.c_HOL_Ominus__class_Ominus @t184 @t7 @t12)))) % 16.03/16.29 (assume @p61 (forall @t186 (not (= @t185 @t18)))) % 16.03/16.29 (assume @p62 (forall (@list @t141 @t8 @t1 @t7) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t185 @t175 @t12) @t187))) % 16.03/16.29 (assume @p63 (forall @t188 (= (tptp.c_Set_Oinsert @t3 @t102 @t1) @t102))) % 16.03/16.29 (assume @p64 (forall (@list @t8 @t3 @t64 @t1) (or @t190 (= @t64 @t3) (not @t189)))) % 16.03/16.29 (assume @p65 (forall @t193 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t192 @t31 @t35) @t1 @t5) (tptp.c_Set_Oinsert @t141 @t191 @t1)))) % 16.03/16.29 (assume @p66 (forall @t198 (or (tptp.c_Relation_Osym @t197 @t1) @t196 @t195))) % 16.03/16.29 (assume @p67 (forall @t34 (or @t201 @t32))) % 16.03/16.29 (assume @p68 (forall @t202 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t7 @t36) @t1 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t54 @t53 @t12) @t12))) % 16.03/16.29 (assume @p69 (forall @t81 (or @t203 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t181 @t1) @t181)))) % 16.03/16.29 (assume @p70 (forall @t81 (or @t203 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t181 @t3 @t1) @t181)))) % 16.03/16.29 (assume @p71 (forall @t180 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t7 @t12) @t18))) % 16.03/16.29 (assume @p72 (forall @t75 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t18 @t12) @t18))) % 16.03/16.29 (assume @p73 (forall (@list @t7 @t141 @t1) (tptp.c_lessequals @t7 @t175 @t12))) % 16.03/16.29 (assume @p74 (forall @t205 (tptp.c_lessequals (tptp.c_Set_Oimage @t48 @t204 @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t113 @t12) @t12))) % 16.03/16.29 (assume @p75 (forall @t96 (tptp.c_lessequals @t207 @t206 @t12))) % 16.03/16.29 (assume @p76 (forall @t118 (or (not @t209) @t208))) % 16.03/16.29 (assume @p77 (forall @t118 (or @t209 @t210))) % 16.03/16.29 (assume @p78 (forall @t41 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t39 @t37 @t12) @t2 @t1 @t5) (tptp.c_HOL_Ominus__class_Ominus @t40 @t38 @t36)))) % 16.03/16.29 (assume @p79 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t18 @t12) @t8))) % 16.03/16.29 (assume @p80 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t8 @t12) @t18))) % 16.03/16.29 (assume @p81 (forall (@list @t31 @t30 @t1 @t5 @t84 @t8 @t2 @t7) (or (tptp.c_lessequals @t90 (tptp.c_Product__Type_OSigma @t8 (tptp.c_COMBK @t2 @t211 @t1) @t1 @t84) @t89) (not (tptp.c_lessequals @t30 (tptp.c_Product__Type_OSigma @t7 (tptp.c_COMBK @t2 @t211 @t5) @t5 @t84) @t86)) @t107))) % 16.03/16.29 (assume @p82 (forall @t213 (or @t212 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t92 @t91 @t1 @t1 @t1) @t92 @t29)) (not (tptp.c_Wellfounded_Owf @t91 @t1)) @t98))) % 16.03/16.29 (assume @p83 (forall @t216 (or @t215 @t190 (not @t214)))) % 16.03/16.29 (assume @p84 (forall @t160 (or @t214 @t217))) % 16.03/16.29 (assume @p85 (forall @t160 (or @t214 @t218))) % 16.03/16.29 (assume @p86 (forall @t222 (= (tptp.c_Product__Type_OSigma @t43 @t219 @t1 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t221 @t220 @t36)))) % 16.03/16.29 (assume @p87 (forall @t224 (or (tptp.c_Relation_Orefl__on @t117 @t197 @t1) @t223 @t77))) % 16.03/16.29 (assume @p88 (forall @t70 (or @t124 @t227))) % 16.03/16.29 (assume @p89 (forall @t70 (or @t124 @t228))) % 16.03/16.29 (assume @p90 (forall @t70 (or @t131 @t228))) % 16.03/16.29 (assume @p91 (forall @t70 (or @t131 @t227))) % 16.03/16.29 (assume @p92 (forall @t118 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t43 @t2 @t12) @t230))) % 16.03/16.29 (assume @p93 (forall @t61 (= @t230 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t59 @t12)))) % 16.03/16.29 (assume @p94 (forall @t81 (or @t203 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t181 @t1) @t3)))) % 16.03/16.29 (assume @p95 (forall @t81 (or @t203 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t181 @t3 @t1) @t3)))) % 16.03/16.29 (assume @p96 (forall @t180 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t7 @t12) @t7))) % 16.03/16.29 (assume @p97 (forall @t75 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t18 @t12) @t8))) % 16.03/16.29 (assume @p98 (forall @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t8 @t12) @t18))) % 16.03/16.29 (assume @p99 (forall (@list @t141 @t8 @t1 @t144 @t7 @t5) (= (tptp.c_Product__Type_OSigma @t185 @t231 @t1 @t5) (tptp.c_Set_Oinsert @t192 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t8 @t231 @t1 @t5) (tptp.c_Product__Type_OSigma @t185 @t106 @t1 @t5) @t36) @t35)))) % 16.03/16.29 (assume @p100 (forall @t232 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t42 @t12) (tptp.c_HOL_Ominus__class_Ominus @t55 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t7 @t12) @t12)))) % 16.03/16.29 (assume @p101 (forall @t118 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t2 @t12) @t233))) % 16.03/16.29 (assume @p102 (forall (@list @t236 @t1 @t5 @t8) (or (= (tptp.c_Set_Oimage @t237 @t8 @t5 @t1) (tptp.c_Set_Oinsert @t236 @t18 @t1)) @t235))) % 16.03/16.29 (assume @p103 (forall @t239 (or (tptp.c_lessequals @t42 (tptp.c_HOL_Ominus__class_Ominus @t2 @t238 @t12) @t12) (not (tptp.c_lessequals @t238 @t7 @t12)) @t136))) % 16.03/16.29 (assume @p104 (forall @t70 (or @t124 (tptp.c_lessequals @t241 @t240 @t1)))) % 16.03/16.29 (assume @p105 (forall @t242 (= @t233 (tptp.c_HOL_Ominus__class_Ominus @t59 @t7 @t12)))) % 16.03/16.29 (assume @p106 (forall @t132 (or @t124 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t65 @t1) @t3)))) % 16.03/16.29 (assume @p107 (forall (@list @t99 @t244 @t31 @t1) (or (tptp.hBOOL (tptp.hAPP @t99 @t244)) (not (tptp.hBOOL (tptp.hAPP @t99 @t243))) @t165))) % 16.03/16.29 (assume @p108 (forall @t248 (or @t247 (not @t246)))) % 16.03/16.29 (assume @p109 (forall @t248 (or @t246 @t249))) % 16.03/16.29 (assume @p110 (forall @t45 (or @t250 @t127 @t126))) % 16.03/16.29 (assume @p111 (forall @t132 (or @t252 @t251 @t134 @t129))) % 16.03/16.29 (assume @p112 (forall @t132 (or @t252 @t251 @t129 @t134))) % 16.03/16.29 (assume @p113 (forall @t132 (or @t124 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t120 @t1) @t3)))) % 16.03/16.29 (assume @p114 (forall @t45 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t43 @t12) @t8))) % 16.03/16.29 (assume @p115 (forall @t132 (or @t80 (= @t120 @t3) @t134))) % 16.03/16.29 (assume @p116 (forall @t132 (or @t80 (not @t253) @t128))) % 16.03/16.29 (assume @p117 (forall @t132 (or @t80 @t253 @t129))) % 16.03/16.29 (assume @p118 (forall @t45 (or @t254 @t126))) % 16.03/16.29 (assume @p119 (forall @t45 (or (= @t117 @t8) @t127))) % 16.03/16.29 (assume @p120 (forall @t45 (or (not @t254) @t125))) % 16.03/16.29 (assume @p121 (forall @t224 (or (tptp.c_Relation_Orefl__on @t43 @t255 @t1) @t223 @t77))) % 16.03/16.29 (assume @p122 (forall @t262 (or @t261 @t258 @t256))) % 16.03/16.29 (assume @p123 (forall @t262 (or @t261 @t263 @t256))) % 16.03/16.29 (assume @p124 (forall @t262 (or @t261 @t258 @t264))) % 16.03/16.29 (assume @p125 (forall @t262 (or @t261 @t263 @t264))) % 16.03/16.29 (assume @p126 (forall @t266 (or (tptp.c_lessequals @t33 @t73 @t29) @t265))) % 16.03/16.29 (assume @p127 (forall @t34 (or @t201 (not (tptp.c_lessequals @t31 @t199 @t29))))) % 16.03/16.29 (assume @p128 (forall @t75 (or @t267 (not (tptp.c_lessequals @t8 @t18 @t12))))) % 16.03/16.29 (assume @p129 (forall @t268 (tptp.c_lessequals @t18 @t18 @t12))) % 16.03/16.29 (assume @p130 (forall (@list @t1 @t141 @t8) (not (= @t18 @t185)))) % 16.03/16.29 (assume @p131 (forall @t176 (or (= @t270 (tptp.c_Set_Oinsert @t141 @t229 @t1)) (not @t269)))) % 16.03/16.29 (assume @p132 (forall @t177 (or (= @t273 @t187) @t272))) % 16.03/16.29 (assume @p133 (forall (@list @t48 @t141 @t7 @t5 @t1) (= (tptp.c_Set_Oimage @t48 (tptp.c_Set_Oinsert @t141 @t7 @t5) @t5 @t1) (tptp.c_Set_Oinsert @t274 @t113 @t1)))) % 16.03/16.29 (assume @p134 (forall @t239 (or (tptp.c_lessequals @t117 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t238 @t12) @t12) @t275 @t136))) % 16.03/16.29 (assume @p135 (forall @t278 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t30 @t11) @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t277 @t276 @t36)))) % 16.03/16.29 (assume @p136 (forall @t132 (or @t124 @t279))) % 16.03/16.29 (assume @p137 (forall @t132 (or @t124 @t280))) % 16.03/16.29 (assume @p138 (forall @t70 (or @t131 @t283 @t282 @t129))) % 16.03/16.29 (assume @p139 (forall @t290 (or @t131 @t289 @t287 @t285))) % 16.03/16.29 (assume @p140 (forall @t132 (or @t131 @t280))) % 16.03/16.29 (assume @p141 (forall @t132 (or @t131 @t279))) % 16.03/16.29 (assume @p142 (forall @t45 (tptp.c_lessequals @t43 @t8 @t12))) % 16.03/16.29 (assume @p143 (forall @t45 (tptp.c_lessequals @t43 @t7 @t12))) % 16.03/16.29 (assume @p144 (forall @t232 (or @t292 (not @t291) @t210))) % 16.03/16.29 (assume @p145 (forall @t70 (or @t80 @t295 @t294 @t282))) % 16.03/16.29 (assume @p146 (forall @t152 (or @t124 @t151))) % 16.03/16.29 (assume @p147 (forall @t132 (or @t124 @t150))) % 16.03/16.29 (assume @p148 (forall @t45 (= @t43 @t56))) % 16.03/16.29 (assume @p149 (forall @t132 (or @t131 @t296))) % 16.03/16.29 (assume @p150 (forall @t132 (or @t124 @t296))) % 16.03/16.29 (assume @p151 (forall @t248 (or @t247 @t165))) % 16.03/16.29 (assume @p152 (forall @t45 (or (= @t298 @t7) @t126))) % 16.03/16.29 (assume @p153 (forall @t70 (or @t124 (tptp.c_lessequals @t66 @t68 @t1)))) % 16.03/16.29 (assume @p154 (forall (@list @t91 @t1 @t92) (or (= @t171 @t172) (not (tptp.c_lessequals @t91 @t172 @t29)) (not (tptp.c_lessequals @t92 @t91 @t29))))) % 16.03/16.29 (assume @p155 (forall @t45 (tptp.c_lessequals @t42 @t8 @t12))) % 16.03/16.29 (assume @p156 (forall @t186 (= @t299 @t185))) % 16.03/16.29 (assume @p157 (forall (@list @t141 @t1 @t144) (or (not (= @t182 @t259)) @t300))) % 16.03/16.29 (assume @p158 (forall @t118 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t229 @t12) @t55 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t57 @t12) @t301 @t12)))) % 16.03/16.29 (assume @p159 (forall @t304 (= (tptp.c_Relation_OField (tptp.c_Set_Oinsert @t303 @t31 @t28) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t302 @t12)))) % 16.03/16.29 (assume @p160 (forall @t248 (= (tptp.c_Relation_OField @t245 @t1) @t302))) % 16.03/16.29 (assume @p161 (forall @t305 (or @t154 @t159))) % 16.03/16.29 (assume @p162 (forall @t41 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t37 @t12) @t2 @t1 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t38 @t36)))) % 16.03/16.29 (assume @p163 (forall (@list @t64 @t8 @t1 @t3) (or @t189 @t218))) % 16.03/16.29 (assume @p164 (forall @t26 (or @t25 @t126 @t22))) % 16.03/16.29 (assume @p165 (forall @t160 (or @t125 @t22 @t27))) % 16.03/16.29 (assume @p166 (forall @t160 (or @t125 @t27 @t22))) % 16.03/16.29 (assume @p167 (forall @t278 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t30 @t11) @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t277 @t276 @t36)))) % 16.03/16.29 (assume @p168 (forall @t177 (or (= @t273 @t43) @t271))) % 16.03/16.29 (assume @p169 (forall @t176 (or (= @t270 @t229) @t269))) % 16.03/16.29 (assume @p170 (forall @t309 (or @t308 @t307))) % 16.03/16.29 (assume @p171 (forall @t45 (or @t310 (= @t7 @t18)))) % 16.03/16.29 (assume @p172 (forall @t45 (or @t310 @t267))) % 16.03/16.29 (assume @p173 (forall @t312 (or @t203 @t311 (= @t8 @t181)))) % 16.03/16.29 (assume @p174 (forall @t312 (or @t203 @t311 (= @t7 @t181)))) % 16.03/16.29 (assume @p175 (forall @t140 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t297 @t8 @t12) @t313))) % 16.03/16.29 (assume @p176 (forall @t45 (= @t298 @t117))) % 16.03/16.29 (assume @p177 (forall (@list @t91 @t314 @t1 @t84 @t92 @t5) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t91 @t314 @t89) @t92 @t1 @t84 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t91 @t92 @t1 @t84 @t5) (tptp.c_Relation_Orel__comp @t314 @t92 @t1 @t84 @t5) @t36)))) % 16.03/16.29 (assume @p178 (forall (@list @t92 @t91 @t314 @t84 @t5 @t1) (= (tptp.c_Relation_Orel__comp @t92 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t91 @t314 @t316) @t1 @t84 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t92 @t91 @t1 @t84 @t5) (tptp.c_Relation_Orel__comp @t92 @t314 @t1 @t84 @t5) @t36)))) % 16.03/16.29 (assume @p179 (forall @t198 (= (tptp.c_Relation_OField @t197 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t302 @t317 @t12)))) % 16.03/16.29 (assume @p180 (forall (@list @t5 @t8 @t7) (or (not (tptp.class_HOL_Ominus @t5)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t50) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t8 tptp.v_x) (tptp.hAPP @t7 tptp.v_x) @t5))))) % 16.03/16.29 (assume @p181 (forall (@list @t2 @t7 @t1 @t8) (or @t291 @t318))) % 16.03/16.29 (assume @p182 (forall (@list @t2 @t8 @t1 @t7) (or @t208 @t318))) % 16.03/16.29 (assume @p183 (forall @t290 (or @t131 @t284 @t319))) % 16.03/16.29 (assume @p184 (forall (@list @t1 @t3 @t144 @t141) (or @t131 @t286 @t319))) % 16.03/16.29 (assume @p185 (forall @t149 (or @t131 @t320 @t143))) % 16.03/16.29 (assume @p186 (forall @t149 (or @t131 @t320 @t146))) % 16.03/16.29 (assume @p187 (forall @t70 (or @t131 @t128 @t321))) % 16.03/16.29 (assume @p188 (forall @t322 (or @t131 @t281 @t321))) % 16.03/16.29 (assume @p189 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t117 @t2 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t324 @t323 @t12)))) % 16.03/16.29 (assume @p190 (= (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) @t325))) % 16.03/16.29 (assume @p191 (forall @t45 (= @t117 @t313))) % 16.03/16.29 (assume @p192 (forall @t132 (or @t80 @t327))) % 16.03/16.29 (assume @p193 (forall @t132 (or @t124 @t327))) % 16.03/16.29 (assume @p194 (forall @t202 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t36) @t1 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t53 @t12)))) % 16.03/16.29 (assume @p195 (forall @t186 (= @t185 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t182 @t8 @t12)))) % 16.03/16.29 (assume @p196 (forall (@list @t328 @t1 @t329) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t328 @t1) (tptp.c_Wellfounded_Oacc @t329 @t1) @t12) (not (tptp.c_lessequals @t329 @t328 @t29))))) % 16.03/16.29 (assume @p197 (forall @t45 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t117 @t12) @t117))) % 16.03/16.29 (assume @p198 (forall @t132 (or @t80 @t330))) % 16.03/16.29 (assume @p199 (forall @t132 (or @t124 @t330))) % 16.03/16.29 (assume @p200 (forall @t45 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t297 @t12) @t18))) % 16.03/16.29 (assume @p201 (forall @t331 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t7 @t11) @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t163 @t162 @t12) @t12))) % 16.03/16.29 (assume @p202 (forall @t168 (or @t167 (not (tptp.hBOOL (tptp.hAPP @t99 @t332))) @t165))) % 16.03/16.29 (assume @p203 (forall @t174 (= (tptp.c_Transitive__Closure_Ortrancl @t173 @t1) @t170))) % 16.03/16.29 (assume @p204 (forall @t157 (or (= @t156 (tptp.c_Set_Oinsert @t3 @t42 @t1)) @t154))) % 16.03/16.29 (assume @p205 (forall @t26 (or @t25 @t126 @t21))) % 16.03/16.29 (assume @p206 (forall @t216 (or @t215 @t334))) % 16.03/16.29 (assume @p207 (forall @t26 (or @t190 @t334))) % 16.03/16.29 (assume @p208 (forall @t337 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t336 @t31 @t10) @t5 @t1) (tptp.c_Set_Oinsert @t144 @t335 @t1)))) % 16.03/16.29 (assume @p209 (forall @t198 (or (tptp.c_Relation_Osym @t255 @t1) @t196 @t195))) % 16.03/16.29 (assume @p210 (forall @t188 (or (= (tptp.c_HOL_Ominus__class_Ominus @t102 @t19 @t12) @t8) @t22))) % 16.03/16.29 (assume @p211 (forall @t118 (or @t339 (not @t338)))) % 16.03/16.29 (assume @p212 (forall @t61 (or @t338 (not @t339)))) % 16.03/16.29 (assume @p213 (forall (@list @t48 @t46 @t31 @t3 @t1 @t5) (or (not (= (tptp.hAPP @t48 @t341) (tptp.hAPP @t46 @t341))) @t340))) % 16.03/16.29 (assume @p214 (forall @t346 (or @t247 @t345))) % 16.03/16.29 (assume @p215 (forall (@list @t5 @t48 @t3 @t46 @t1) (or (not (tptp.class_HOL_Oord @t5)) (tptp.c_lessequals @t347 (tptp.hAPP @t46 @t3) @t5) (not (tptp.c_lessequals @t48 @t46 (tptp.tc_fun @t1 @t5)))))) % 16.03/16.29 (assume @p216 (forall @t353 (or @t352 @t351 @t349))) % 16.03/16.29 (assume @p217 (forall (@list @t141 @t144 @t8 @t1) (or @t354 @t272))) % 16.03/16.29 (assume @p218 (forall (@list @t141 @t144 @t7 @t1) (or (tptp.hBOOL (tptp.c_in @t141 @t161 @t1)) (not (tptp.hBOOL (tptp.c_in @t141 @t7 @t1)))))) % 16.03/16.29 (assume @p219 (forall (@list @t355 @t7 @t1 @t8) (or (tptp.hBOOL (tptp.c_in @t355 @t7 @t1)) (not (tptp.hBOOL (tptp.c_in @t355 @t8 @t1))) @t126))) % 16.03/16.29 (assume @p220 (forall @t305 (or @t154 @t126 @t23))) % 16.03/16.29 (assume @p221 (forall @t356 (or @t350 @t349 @t126))) % 16.03/16.29 (assume @p222 (forall @t305 (or @t154 @t23 @t126))) % 16.03/16.29 (assume @p223 (forall @t353 (or @t357 @t349))) % 16.03/16.29 (assume @p224 (forall @t353 (or @t357 @t351))) % 16.03/16.29 (assume @p225 (forall (@list @t141 @t8 @t1 @t144) (or @t271 @t300 (not @t354)))) % 16.03/16.29 (assume @p226 (forall @t356 (or @t350 @t348 (not @t357)))) % 16.03/16.29 (assume @p227 (forall @t356 (or @t351 @t359))) % 16.03/16.29 (assume @p228 (forall @t360 (or @t348 @t359))) % 16.03/16.29 (assume @p229 (forall @t188 (tptp.hBOOL (tptp.c_in @t3 @t102 @t1)))) % 16.03/16.29 (assume @p230 (forall (@list @t141 @t7 @t1) (tptp.hBOOL (tptp.c_in @t141 @t175 @t1)))) % 16.03/16.29 (assume @p231 (forall (@list @t3 @t7 @t1) (tptp.hBOOL (tptp.c_in @t3 @t24 @t1)))) % 16.03/16.29 (assume @p232 (forall @t356 (or @t350 @t361))) % 16.03/16.29 (assume @p233 (forall @t360 (or @t348 @t361))) % 16.03/16.29 (assume @p234 (forall @t353 (or @t358 @t350 @t349))) % 16.03/16.29 (assume @p235 (forall @t157 (or (not (= @t102 @t24)) @t154 @t22 @t250))) % 16.03/16.29 (assume @p236 (forall @t186 (or (= @t185 @t8) @t272))) % 16.03/16.29 (assume @p237 (forall (@list @t5 @t1 @t141 @t144) (= (tptp.hAPP @t362 @t336) @t144))) % 16.03/16.29 (assume @p238 (forall (@list @t64 @t5 @t1 @t3) (= @t64 (tptp.hAPP @t362 (tptp.c_Pair @t3 @t64 @t5 @t1))))) % 16.03/16.29 (assume @p239 (forall (@list @t104 @t1 @t5 @t363 @t364 @t99) (or (tptp.hBOOL (tptp.hAPP @t104 (tptp.hAPP (tptp.c_snd @t1 @t5) (tptp.c_Pair @t363 @t364 @t1 @t5)))) (not (tptp.hBOOL (tptp.hAPP @t104 @t364))) (not (tptp.hBOOL (tptp.hAPP @t99 @t363)))))) % 16.03/16.29 (assume @p240 (forall @t266 (or @t365 @t307))) % 16.03/16.29 (assume @p241 (forall @t198 (or (tptp.c_Relation_Otrans @t255 @t1) (not (tptp.c_Relation_Otrans @t30 @t1)) @t366))) % 16.03/16.29 (assume @p242 (forall @t222 (= (tptp.c_Product__Type_OSigma @t117 @t219 @t1 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t221 @t220 @t36)))) % 16.03/16.29 (assume @p243 (forall @t72 (or @t69 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t225 @t3 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t326 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t3 @t1) @t1))))) % 16.03/16.29 (assume @p244 (forall @t70 (or @t69 (= @t241 @t240)))) % 16.03/16.29 (assume @p245 (forall @t61 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t229 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t115 @t12)))) % 16.03/16.29 (assume @p246 (forall @t58 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t229 @t8 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t313 @t301 @t12)))) % 16.03/16.29 (assume @p247 (forall @t188 (tptp.hBOOL (tptp.hAPP @t102 @t3)))) % 16.03/16.29 (assume @p248 (forall @t157 (or @t158 @t126 @t155))) % 16.03/16.29 (assume @p249 (forall @t222 (= (tptp.c_Product__Type_OSigma @t42 @t219 @t1 @t5) (tptp.c_HOL_Ominus__class_Ominus @t221 @t220 @t36)))) % 16.03/16.29 (assume @p250 (forall @t132 (or @t124 @t367))) % 16.03/16.29 (assume @p251 (forall @t132 (or @t131 @t367))) % 16.03/16.29 (assume @p252 (forall @t45 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t43 @t12) @t43))) % 16.03/16.29 (assume @p253 (forall @t34 (or (tptp.c_lessequals @t302 @t317 @t12) @t32))) % 16.03/16.29 (assume @p254 (forall @t331 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t11) @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t163 @t162 @t12)))) % 16.03/16.29 (assume @p255 (forall (@list @t31 @t82 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t82 @t29) @t1) @t165))) % 16.03/16.29 (assume @p256 (forall (@list @t82 @t31 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t82 @t31 @t29) @t1) @t165))) % 16.03/16.29 (assume @p257 (forall @t186 (or (= @t299 @t8) @t272))) % 16.03/16.29 (assume @p258 (forall @t81 (or @t131 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t1) @t3)))) % 16.03/16.29 (assume @p259 (forall @t75 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t8 @t12) @t8))) % 16.03/16.29 (assume @p260 (forall @t248 (= @t302 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t369 @t368 @t12)))) % 16.03/16.29 (assume @p261 (forall @t72 (or @t80 @t293 @t370))) % 16.03/16.29 (assume @p262 (forall @t322 (or @t80 @t281 @t370))) % 16.03/16.29 (assume @p263 (forall @t290 (or @t80 @t371 @t287))) % 16.03/16.29 (assume @p264 (forall @t290 (or @t80 @t371 @t285))) % 16.03/16.29 (assume @p265 (forall (@list @t1 @t144 @t3 @t141) (or @t80 @t145 @t372))) % 16.03/16.29 (assume @p266 (forall (@list @t1 @t141 @t3 @t144) (or @t80 @t142 @t372))) % 16.03/16.29 (assume @p267 (forall @t242 (or @t135 @t373))) % 16.03/16.29 (assume @p268 (forall @t58 (or @t137 @t373))) % 16.03/16.29 (assume @p269 (forall @t52 (or @t51 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t46 @t50) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t47 @t5))))) % 16.03/16.29 (assume @p270 (forall (@list @t1 @t62 @t3 @t64) (or @t252 @t153 (not (tptp.c_lessequals @t62 @t64 @t1)) @t134))) % 16.03/16.29 (assume @p271 (forall @t374 (tptp.c_lessequals @t3 @t3 @t12))) % 16.03/16.29 (assume @p272 (forall @t75 (tptp.c_lessequals @t8 @t8 @t12))) % 16.03/16.29 (assume @p273 (forall @t242 (or @t135 @t138 @t126))) % 16.03/16.29 (assume @p274 (forall @t379 (or @t378 @t377 @t375))) % 16.03/16.29 (assume @p275 (forall (@list @t363 @t1 @t31) (or (tptp.c_Wellfounded_Owf @t363 @t1) (not (tptp.c_lessequals @t363 @t31 @t29)) @t165))) % 16.03/16.29 (assume @p276 (forall @t81 (or @t252 @t380))) % 16.03/16.29 (assume @p277 (forall @t81 (or @t381 @t380))) % 16.03/16.29 (assume @p278 (forall @t34 (or @t382 (not (tptp.c_Relation_Oantisym @t30 @t1)) @t32))) % 16.03/16.29 (assume @p279 (forall @t379 (or @t378 @t375 @t377))) % 16.03/16.29 (assume @p280 (forall @t34 (or @t247 @t32 (not (tptp.c_Wellfounded_Oacyclic @t30 @t1))))) % 16.03/16.29 (assume @p281 (forall @t385 (or @t384 (not (tptp.c_Relation_Osingle__valued @t30 @t1 @t5)) @t383))) % 16.03/16.29 (assume @p282 (forall @t322 (or @t381 @t281 @t294 @t129))) % 16.03/16.29 (assume @p283 (forall @t239 (or (tptp.c_lessequals @t43 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t238 @t12) @t12) @t275 @t136))) % 16.03/16.29 (assume @p284 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t57 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t42 @t324 @t12)))) % 16.03/16.29 (assume @p285 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t43 @t2 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t323 @t12)))) % 16.03/16.29 (assume @p286 (forall @t248 (tptp.c_lessequals @t33 (tptp.c_Product__Type_OSigma @t302 (tptp.c_COMBK @t302 @t12 @t1) @t1 @t1) @t29))) % 16.03/16.29 (assume @p287 (forall @t385 (or (tptp.c_lessequals @t191 (tptp.c_Relation_ODomain @t30 @t1 @t5) @t12) @t383))) % 16.03/16.29 (assume @p288 (forall (@list @t8 @t3 @t1) (or (= @t8 @t19) @t267 (not (tptp.c_lessequals @t8 @t19 @t12))))) % 16.03/16.29 (assume @p289 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t229 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t324 @t12)))) % 16.03/16.29 (assume @p290 (forall @t160 (or @t333 @t217 @t218))) % 16.03/16.29 (assume @p291 (forall (@list @t7 @t2 @t8 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t7 (tptp.c_HOL_Ominus__class_Ominus @t2 @t8 @t12) @t12) @t8) @t138 @t126))) % 16.03/16.29 (assume @p292 (forall @t389 (or @t388 @t387 @t386 @t134))) % 16.03/16.29 (assume @p293 (forall @t389 (or @t388 @t387 @t133 (not @t386)))) % 16.03/16.29 (assume @p294 (forall (@list @t48 @t8 @t1 @t5 @t7) (or (tptp.c_lessequals @t390 (tptp.c_Set_Oimage @t48 @t7 @t1 @t5) @t6) @t126))) % 16.03/16.29 (assume @p295 (forall @t391 (or (not (tptp.c_lessequals @t3 @t8 @t6)) (tptp.c_lessequals (tptp.c_Set_Oimage @t48 @t3 @t5 @t1) @t114 @t12)))) % 16.03/16.29 (assume @p296 (forall (@list @t141 @t2 @t1 @t238) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t141 @t2 @t1) (tptp.c_Set_Oinsert @t141 @t238 @t1) @t12) (not (tptp.c_lessequals @t2 @t238 @t12))))) % 16.03/16.29 (assume @p297 (forall @t268 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t12) @t18))) % 16.03/16.29 (assume @p298 (forall @t205 (= (tptp.c_Set_Oimage @t48 @t95 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t113 @t12)))) % 16.03/16.29 (assume @p299 (forall (@list @t82 @t392 @t1 @t5 @t31 @t8) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t82 @t392 @t1 @t5) @t393 @t6) (not (tptp.c_lessequals @t392 @t8 @t12)) @t83))) % 16.03/16.29 (assume @p300 (forall @t79 (or @t78 @t394))) % 16.03/16.29 (assume @p301 (forall @t152 (or (not (tptp.class_Orderings_Olinorder @t1)) @t133 @t128))) % 16.03/16.29 (assume @p302 (forall (@list @t236 @t5 @t1 @t8 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t236 @t5 @t1) @t8 @t1 @t5) (tptp.c_Set_Oinsert @t236 @t234 @t5)) @t23))) % 16.03/16.29 (assume @p303 (forall @t266 (or @t395 @t307))) % 16.03/16.29 (assume @p304 (forall @t398 (or @t344 @t397 @t249))) % 16.03/16.29 (assume @p305 (forall @t400 (or @t399 @t345))) % 16.03/16.29 (assume @p306 (forall @t407 (or @t167 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t406 @t405 @t1 @t1) @t31 @t28)) @t404 @t402))) % 16.03/16.29 (assume @p307 (forall @t411 (or @t403 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t410 @t409 @t1 @t1) @t31 @t28)) @t408 @t402))) % 16.03/16.29 (assume @p308 (forall @t34 (or (tptp.c_lessequals @t200 @t30 @t29) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t200 @t30 @t29) @t31 @t1 @t1 @t1) @t30 @t29)) (not (tptp.c_lessequals @t412 @t30 @t29))))) % 16.03/16.29 (assume @p309 (forall (@list @t3 @t105 @t1) (or (not (= (tptp.c_Set_Oinsert @t3 @t105 @t1) @t18)) (tptp.hBOOL (tptp.c_in @t3 @t105 @t1))))) % 16.03/16.29 (assume @p310 (forall (@list @t144 @t141 @t1) (or (= @t144 @t141) (not (tptp.hBOOL (tptp.c_in @t144 @t182 @t1)))))) % 16.03/16.29 (assume @p311 (forall @t305 (or @t155 @t23 @t44))) % 16.03/16.29 (assume @p312 (forall @t374 (tptp.hBOOL (tptp.c_in @t3 @t19 @t1)))) % 16.03/16.29 (assume @p313 (forall @t413 (or (= (tptp.c_Set_Oinsert @t347 @t390 @t5) @t390) @t23))) % 16.03/16.29 (assume @p314 (forall (@list @t48 @t3 @t7 @t1 @t8 @t5) (or (tptp.hBOOL (tptp.c_in @t347 @t7 @t1)) @t414 (not (tptp.c_lessequals @t114 @t7 @t12))))) % 16.03/16.29 (assume @p315 (forall (@list @t236 @t1 @t5) (= (tptp.c_Set_Oimage @t237 @t234 @t5 @t1) @t18))) % 16.03/16.29 (assume @p316 (forall @t17 (or (not (= @t15 @t14)) @t4 @t250))) % 16.03/16.29 (assume @p317 (forall @t346 (or @t164 @t416))) % 16.03/16.29 (assume @p318 (forall @t418 (or @t417 (not (tptp.hBOOL (tptp.c_in @t3 @t172 @t28)))))) % 16.03/16.29 (assume @p319 (forall @t418 (or @t417 (not (tptp.hBOOL (tptp.c_in @t3 @t171 @t28)))))) % 16.03/16.29 (assume @p320 (forall (@list @t363 @t30 @t1 @t31) (or (tptp.hBOOL (tptp.c_in @t363 (tptp.c_Transitive__Closure_Otrancl @t30 @t1) @t28)) @t32 (not @t419)))) % 16.03/16.29 (assume @p321 (forall @t268 (= (tptp.c_Relation_OField @t179 @t1) @t18))) % 16.03/16.29 (assume @p322 (forall @t174 (or @t421 (not @t212)))) % 16.03/16.29 (assume @p323 (forall @t213 (or @t212 (not @t421)))) % 16.03/16.29 (assume @p324 (forall @t34 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t369 (tptp.c_Relation_ORange @t30 @t1 @t1) @t12) @t18)) (not (tptp.c_Wellfounded_Owf @t30 @t1)) @t165 (tptp.c_Wellfounded_Owf @t197 @t1)))) % 16.03/16.29 (assume @p325 (forall @t248 (= @t33 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 (tptp.c_Relation_Orel__comp @t33 @t31 @t1 @t1 @t1) @t29)))) % 16.03/16.29 (assume @p326 (forall @t58 (or (not (= (tptp.c_Relation_Orel__comp @t7 @t2 @t1 @t1 @t1) @t179)) @t422 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t7 @t29) @t2 @t1 @t1 @t1) @t179)))) % 16.03/16.29 (assume @p327 (forall @t242 (or @t422 (not (= (tptp.c_Relation_Orel__comp @t8 @t7 @t1 @t1 @t1) @t179)) (= (tptp.c_Relation_Orel__comp @t8 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t2 @t29) @t1 @t1 @t1) @t179)))) % 16.03/16.29 (assume @p328 (forall @t423 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t172 @t412 @t29) @t172))) % 16.03/16.29 (assume @p329 (forall @t423 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t92 @t412 @t29) @t1) @t172))) % 16.03/16.29 (assume @p330 (forall @t248 (= (tptp.c_Transitive__Closure_Ortrancl @t424 @t1) @t200))) % 16.03/16.29 (assume @p331 (forall @t248 (or (tptp.c_Relation_Oantisym @t200 @t1) @t249))) % 16.03/16.29 (assume @p332 (forall @t248 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t31 @t31 @t1 @t1 @t1) @t31 @t29) @t366))) % 16.03/16.29 (assume @p333 (forall @t248 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t245 @t29) @t1))) % 16.03/16.29 (assume @p334 (forall @t248 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t245 @t29) @t1))) % 16.03/16.29 (assume @p335 (forall @t248 (or (tptp.c_Relation_Otrans @t425 @t1) @t366))) % 16.03/16.29 (assume @p336 (forall (@list @t8 @t1 @t7) (= (tptp.c_Relation_OImage @t74 @t7 @t1 @t1) @t43))) % 16.03/16.29 (assume @p337 (forall @t248 (or @t382 (not @t426)))) % 16.03/16.29 (assume @p338 (forall @t248 (or @t426 @t427))) % 16.03/16.29 (assume @p339 (forall @t309 (or @t308 (not @t428)))) % 16.03/16.29 (assume @p340 (forall @t309 (or @t428 @t429))) % 16.03/16.29 (assume @p341 (forall (@list @t5 @t1 @t92) (= (tptp.c_Set_Oimage @t362 @t92 @t10 @t1) (tptp.c_Relation_ORange @t92 @t5 @t1)))) % 16.03/16.29 (assume @p342 (forall (@list @t141 @t8 @t1 @t144 @t31) (or @t271 @t300 @t265 @t402))) % 16.03/16.29 (assume @p343 (forall @t434 (or (tptp.c_lessequals @t433 @t432 @t12) @t431 @t394))) % 16.03/16.29 (assume @p344 (forall @t248 (tptp.c_Relation_Oirrefl @t424 @t1))) % 16.03/16.29 (assume @p345 (forall (@list @t31 @t141 @t1 @t144) (or @t436 (not (tptp.hBOOL (tptp.c_in @t144 @t302 @t1))) (not (tptp.hBOOL (tptp.c_in @t141 @t302 @t1))) @t427 (not (tptp.c_Relation_Orefl__on @t302 @t31 @t1)) @t300))) % 16.03/16.29 (assume @p346 (forall @t423 (or (tptp.c_Wellfounded_OwfP (tptp.c_FunDef_Oin__rel @t92 @t1 @t1) @t1) @t98))) % 16.03/16.29 (assume @p347 (forall (@list @t8 @t7 @t236 @t1 @t5) (or (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t8 @t7 @t236 @t1 @t5) @t8 @t1)) (not (tptp.hBOOL (tptp.c_in @t236 @t437 @t35)))))) % 16.03/16.29 (assume @p348 (forall @t439 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t438 @t144 @t1 @t1) @t31 @t28)) @t300 @t402))) % 16.03/16.29 (assume @p349 (forall @t444 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t443 @t62 @t1 @t1) @t200 @t28)) @t442 @t441))) % 16.03/16.29 (assume @p350 (forall @t445 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t443 @t1 @t1) @t31 @t28)) @t442 @t441))) % 16.03/16.29 (assume @p351 (forall @t407 (or @t167 (tptp.hBOOL (tptp.hAPP @t99 @t405)) @t404 @t402))) % 16.03/16.29 (assume @p352 (forall @t407 (or @t167 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t405 @t144 @t1 @t1) @t200 @t28)) @t404 @t402))) % 16.03/16.29 (assume @p353 (forall @t411 (or @t403 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t410 @t1 @t1) @t200 @t28)) @t408 @t402))) % 16.03/16.29 (assume @p354 (forall @t411 (or @t403 (not (tptp.hBOOL (tptp.hAPP @t99 @t409))) @t408 @t402))) % 16.03/16.29 (assume @p355 (forall @t454 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t449 @t453 tptp.t_a tptp.t_a) @t447 @t446)) @t452 @t451))) % 16.03/16.29 (assume @p356 (forall @t411 (or @t403 (tptp.hBOOL (tptp.hAPP @t99 @t410)) @t408 @t402))) % 16.03/16.29 (assume @p357 (forall @t454 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t453 @t448 tptp.t_a tptp.t_a) @t31 @t446)) @t452 @t451))) % 16.03/16.29 (assume @p358 (forall @t407 (or @t167 (not (tptp.hBOOL (tptp.hAPP @t99 @t406))) @t404 @t402))) % 16.03/16.29 (assume @p359 (forall @t439 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t438 @t1 @t1) @t200 @t28)) @t300 @t402))) % 16.03/16.29 (assume @p360 (forall @t456 (or @t167 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t332 @t1 @t1) @t31 @t28))) @t165))) % 16.03/16.29 (assume @p361 (forall (@list @t99 @t105 @t64 @t31 @t1) (or (tptp.hBOOL (tptp.hAPP @t99 @t105)) @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t243 @t1 @t1) @t31 @t28))) @t165))) % 16.03/16.29 (assume @p362 (forall (@list @t99 @t457 @t64 @t92 @t1) (or (tptp.hBOOL (tptp.hAPP @t99 @t457)) @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t100 @t1 @t1) @t92 @t28))) @t98))) % 16.03/16.29 (assume @p363 (forall @t456 (or @t167 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t166 @t1 @t1) @t31 @t28))) @t165))) % 16.03/16.29 (assume @p364 (forall @t462 (or @t461 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t458 @t458 @t1 @t1) @t33 @t28))))) % 16.03/16.29 (assume @p365 (forall @t444 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t466 @t62 @t1 @t1) @t33 @t28)) @t465 @t464))) % 16.03/16.29 (assume @p366 (forall @t471 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t470 @t1 @t1) @t92 @t28)) @t469))) % 16.03/16.29 (assume @p367 (forall @t454 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t449 @t475 tptp.t_a tptp.t_a) @t472 @t446)) @t474 @t473))) % 16.03/16.29 (assume @p368 (forall @t462 (or @t476 @t249))) % 16.03/16.29 (assume @p369 (forall @t439 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t479 @t144 @t1 @t1) @t31 @t28)) @t430 @t478))) % 16.03/16.29 (assume @p370 (forall @t439 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t479 @t1 @t1) @t33 @t28)) @t430 @t478))) % 16.03/16.29 (assume @p371 (forall @t481 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t480 @t64 @t1 @t1) @t92 @t28)) @t469))) % 16.03/16.29 (assume @p372 (forall @t445 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t466 @t1 @t1) @t31 @t28)) @t465 @t464))) % 16.03/16.29 (assume @p373 (forall @t454 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t475 @t448 tptp.t_a tptp.t_a) @t31 @t446)) @t474 @t473))) % 16.03/16.29 (assume @p374 (forall (@list @t141 @t144 @t1 @t31 @t8) (or @t430 @t482 (not (tptp.c_lessequals @t432 @t433 @t12)) @t394))) % 16.03/16.29 (assume @p375 (forall (@list @t141 @t144 @t1 @t31 @t3 @t8) (or @t430 (not (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t433 @t432 @t12) @t1))) @t394))) % 16.03/16.29 (assume @p376 (forall @t485 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t484 @t236 @t84 @t5) @t30 @t315)) @t483))) % 16.03/16.29 (assume @p377 (forall @t485 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t484 @t1 @t84) @t31 @t88)) @t483))) % 16.03/16.29 (assume @p378 (forall (@list @t363 @t1) (or (= @t363 (tptp.c_Pair @t486 @t486 @t1 @t1)) (not (tptp.hBOOL (tptp.c_in @t363 @t412 @t28)))))) % 16.03/16.29 (assume @p379 (forall (@list @t8 @t1 @t92) (or @t267 (not (tptp.c_lessequals @t8 (tptp.c_Relation_OImage @t92 @t8 @t1 @t1) @t12)) @t98))) % 16.03/16.29 (assume @p380 (forall (@list @t8 @t5 @t1) (= (tptp.c_Product__Type_OSigma @t8 (tptp.c_COMBK @t234 @t6 @t1) @t1 @t5) @t487))) % 16.03/16.29 (assume @p381 (forall @t248 (or @t164 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t31 @t1) @t488 @t1)))))) % 16.03/16.29 (assume @p382 (forall @t248 (or @t164 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t31 @t1) @t488 @t1)))))) % 16.03/16.29 (assume @p383 (forall (@list @t8 @t236 @t1) (or (tptp.hBOOL (tptp.c_in @t490 @t8 @t1)) @t489))) % 16.03/16.29 (assume @p384 (forall (@list @t236 @t8 @t1) (or (= @t236 (tptp.c_Pair @t490 @t490 @t1 @t1)) @t489))) % 16.03/16.29 (assume @p385 (forall (@list @t48 @t31 @t3 @t1 @t5 @t46) (or @t340 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t341 @t3 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p386 (forall @t248 (= @t491 @t200))) % 16.03/16.29 (assume @p387 (forall @t248 (= (tptp.c_Transitive__Closure_Otrancl @t425 @t1) @t200))) % 16.03/16.29 (assume @p388 (forall @t248 (= @t200 @t491))) % 16.03/16.29 (assume @p389 (forall @t248 (= @t200 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t412 @t492 @t29)))) % 16.03/16.29 (assume @p390 (forall @t266 (or (tptp.c_lessequals @t31 @t493 @t29) @t77))) % 16.03/16.29 (assume @p391 (= (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))) % 16.03/16.29 (assume @p392 (forall @t248 (or @t395 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t494 @t494 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p393 (forall @t96 (or (= @t207 @t206) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t92 @t5 @t1) @t1 @t5))))) % 16.03/16.29 (assume @p394 (forall @t248 (or (tptp.c_Relation_Otrans @t424 @t1) @t427 @t366))) % 16.03/16.29 (assume @p395 (forall @t248 (or @t496 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t495 @t495 @t1 @t1) @t31 @t28)))))) % 16.03/16.29 (assume @p396 (forall @t309 (or @t306 @t429 @t497 @t366))) % 16.03/16.29 (assume @p397 (forall @t400 (or @t399 @t416))) % 16.03/16.29 (assume @p398 (forall @t398 (or @t415 @t397 @t165))) % 16.03/16.29 (assume @p399 (forall @t471 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t480 @t1 @t1) @t172 @t28)) @t469))) % 16.03/16.29 (assume @p400 (forall @t481 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t470 @t64 @t1 @t1) @t172 @t28)) @t469))) % 16.03/16.29 (assume @p401 (forall (@list @t141 @t31 @t1 @t8) (or (tptp.hBOOL (tptp.c_in @t141 @t433 @t1)) @t272 @t394))) % 16.03/16.29 (assume @p402 (forall @t248 (or (tptp.c_lessequals @t493 @t31 @t29) @t366 @t195))) % 16.03/16.29 (assume @p403 (forall (@list @t144 @t31 @t141 @t5 @t1) (or @t499 (not @t498)))) % 16.03/16.29 (assume @p404 (forall @t337 (or @t498 (not @t499)))) % 16.03/16.29 (assume @p405 (forall @t503 (or @t502 @t501 @t394))) % 16.03/16.29 (assume @p406 (forall @t434 (or @t435 @t431 @t394))) % 16.03/16.29 (assume @p407 (forall @t434 (or @t436 @t430 @t482 @t394))) % 16.03/16.29 (assume @p408 (forall @t503 (or @t506 @t394 @t500 @t505 @t23))) % 16.03/16.29 (assume @p409 (forall @t503 (or @t502 @t501 @t505 @t23 @t394))) % 16.03/16.29 (assume @p410 (forall @t503 (or @t506 @t505 @t23 @t394 @t500))) % 16.03/16.29 (assume @p411 (forall (@list @t31 @t1 @t3) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t245 @t200 @t29) @t179)) @t476))) % 16.03/16.29 (assume @p412 (forall @t508 (or @t377 @t507))) % 16.03/16.29 (assume @p413 (forall (@list @t3 @t8 @t509 @t48 @t1) (or (not (tptp.hBOOL (tptp.c_in @t3 @t8 @t509))) (tptp.hBOOL (tptp.c_in @t347 (tptp.c_Set_Oimage @t48 @t8 @t509 @t1) @t1))))) % 16.03/16.29 (assume @p414 (forall @t391 (or @t414 @t510))) % 16.03/16.29 (assume @p415 (forall (@list @t48 @t3 @t8 @t5 @t1) (or @t510 @t414))) % 16.03/16.29 (assume @p416 (forall @t413 (or (tptp.hBOOL (tptp.c_in @t347 @t390 @t5)) @t23))) % 16.03/16.29 (assume @p417 (forall @t512 (= (tptp.hAPP (tptp.hAPP (tptp.c_curry @t48 @t5 @t84 @t1) @t141) @t144) (tptp.hAPP @t48 @t511)))) % 16.03/16.29 (assume @p418 (forall (@list @t92 @t141 @t144 @t236 @t1 @t5 @t84) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t92 @t141) @t144) @t236)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t92 @t1 @t5 @t211) @t192) @t236)))))) % 16.03/16.29 (assume @p419 (forall (@list @t48 @t1 @t5 @t84 @t141 @t144) (= (tptp.hAPP @t514 @t192) @t513))) % 16.03/16.29 (assume @p420 (forall @t512 (= (tptp.hAPP (tptp.c_split @t48 @t5 @t84 @t1) @t511) @t513))) % 16.03/16.29 (assume @p421 (forall @t400 (or @t518 (not @t516)))) % 16.03/16.29 (assume @p422 (forall @t400 (or @t516 (not @t518)))) % 16.03/16.29 (assume @p423 (forall @t520 (or @t463 (not (tptp.hBOOL (tptp.c_in @t519 @t33 @t28))) @t399))) % 16.03/16.29 (assume @p424 (forall @t525 (or @t524 @t522 @t478))) % 16.03/16.29 (assume @p425 (forall @t304 (or @t401 @t478))) % 16.03/16.29 (assume @p426 (forall (@list @t62 @t64 @t1 @t31 @t3) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t62 @t64 @t1 @t1) @t200 @t28)) (tptp.hBOOL (tptp.c_in @t519 @t200 @t28)) @t441 @t399 (not (tptp.c_Relation_Osingle__valued @t31 @t1 @t1))))) % 16.03/16.29 (assume @p427 (forall @t398 (or @t528 (not @t527)))) % 16.03/16.29 (assume @p428 (forall @t400 (or @t527 (not @t528)))) % 16.03/16.29 (assume @p429 (forall (@list @t141 @t144 @t1 @t92) (or (tptp.hBOOL (tptp.c_in @t303 @t467 @t28)) @t300 (not (tptp.hBOOL (tptp.c_in @t303 @t172 @t28)))))) % 16.03/16.29 (assume @p430 (forall @t531 (or @t468 @t251 @t530))) % 16.03/16.29 (assume @p431 (forall @t531 (or @t529 @t469 @t251))) % 16.03/16.29 (assume @p432 (forall @t525 (or @t524 @t532 @t402))) % 16.03/16.29 (assume @p433 (forall @t525 (or @t524 @t522 @t431))) % 16.03/16.29 (assume @p434 (forall @t534 (or @t419 @t533))) % 16.03/16.29 (assume @p435 (forall @t534 (or (tptp.hBOOL (tptp.c_in @t363 @t200 @t28)) @t533))) % 16.03/16.29 (assume @p436 (forall @t266 (or @t365 @t394))) % 16.03/16.29 (assume @p437 (forall @t268 (tptp.c_Relation_Otrans @t412 @t1))) % 16.03/16.29 (assume @p438 (forall @t536 (or (tptp.c_Relation_Otrans @t535 @t5) @t366))) % 16.03/16.29 (assume @p439 (forall @t248 (or @t537 @t366))) % 16.03/16.29 (assume @p440 (forall @t248 (or @t365 (not @t537)))) % 16.03/16.29 (assume @p441 (forall @t538 (not (tptp.hBOOL (tptp.c_in @t141 @t18 @t1))))) % 16.03/16.29 (assume @p442 (forall (@list @t236 @t1) (not (tptp.hBOOL (tptp.c_in @t236 @t18 @t1))))) % 16.03/16.29 (assume @p443 (forall @t508 (or @t376 @t507))) % 16.03/16.29 (assume @p444 (forall @t374 @t507)) % 16.03/16.29 (assume @p445 (forall @t540 (or @t539 @t165))) % 16.03/16.29 (assume @p446 (forall @t75 (tptp.c_Relation_Osingle__valued @t74 @t1 @t1))) % 16.03/16.29 (assume @p447 (forall @t544 (or (tptp.hBOOL (tptp.c_in @t543 @t8 @t5)) @t542))) % 16.03/16.29 (assume @p448 (forall @t248 (or (tptp.c_Relation_Osym @t33 @t1) @t195))) % 16.03/16.29 (assume @p449 (forall @t168 (or @t167 (not (tptp.hBOOL (tptp.hAPP @t99 @t547))) @t546))) % 16.03/16.29 (assume @p450 (forall @t551 (or @t376 (not (tptp.hBOOL (tptp.hAPP @t99 @t550))) @t549))) % 16.03/16.29 (assume @p451 (forall @t423 (or (not (= @t420 @t179)) @t97))) % 16.03/16.29 (assume @p452 (forall @t168 (or @t167 (tptp.hBOOL (tptp.c_in @t552 @t488 @t1)) @t546))) % 16.03/16.29 (assume @p453 (forall @t248 (or @t194 (not @t553)))) % 16.03/16.29 (assume @p454 (forall @t248 (or @t553 @t195))) % 16.03/16.29 (assume @p455 (forall @t248 (= (tptp.c_Relation_ODomain @t33 @t1 @t1) @t369))) % 16.03/16.29 (assume @p456 (forall @t544 (or (tptp.hBOOL (tptp.c_in @t554 @t8 @t5)) @t542))) % 16.03/16.29 (assume @p457 (forall (@list @t1 @t48 @t5) (= @t18 @t555))) % 16.03/16.29 (assume @p458 (forall @t556 (or (not (= @t191 @t18)) (= @t31 @t487)))) % 16.03/16.29 (assume @p459 (forall (@list @t1 @t7 @t5) (= (tptp.c_Product__Type_OSigma @t18 @t7 @t1 @t5) @t487))) % 16.03/16.29 (assume @p460 (forall @t560 (or (not (tptp.hBOOL (tptp.c_in @t559 @t557 @t1))) @t558))) % 16.03/16.29 (assume @p461 (forall @t268 (tptp.c_Relation_Osym @t412 @t1))) % 16.03/16.29 (assume @p462 (forall @t561 (= (tptp.c_curry @t514 @t1 @t5 @t84) @t48))) % 16.03/16.29 (assume @p463 (forall (@list @t1 @t92 @t5) (= (tptp.c_Relation_Orel__comp @t412 @t92 @t1 @t1 @t5) @t92))) % 16.03/16.29 (assume @p464 (forall @t562 (= (tptp.c_Relation_Orel__comp @t92 (tptp.c_Relation_OId @t5) @t1 @t5 @t5) @t92))) % 16.03/16.29 (assume @p465 (forall @t75 (tptp.c_Relation_Oantisym @t74 @t1))) % 16.03/16.29 (assume @p466 (forall @t561 (= (tptp.c_split (tptp.c_curry @t48 @t1 @t5 @t84) @t1 @t5 @t84) @t48))) % 16.03/16.29 (assume @p467 (forall @t268 (tptp.c_Wellfounded_Owf @t179 @t1))) % 16.03/16.29 (assume @p468 (forall @t248 (or (tptp.c_Wellfounded_Owf @t515 @t1) (not (tptp.c_Wellfounded_Owf @t245 @t1))))) % 16.03/16.29 (assume @p469 (forall @t168 (or @t167 (not (tptp.hBOOL (tptp.hAPP @t99 @t552))) @t546))) % 16.03/16.29 (assume @p470 (forall @t309 (or @t76 (not @t563)))) % 16.03/16.29 (assume @p471 (forall @t309 (or @t563 @t77))) % 16.03/16.29 (assume @p472 (forall @t268 (= (tptp.c_Relation_OId__on @t18 @t1) @t179))) % 16.03/16.29 (assume @p473 (forall @t248 (or (tptp.c_Relation_Osym @t200 @t1) @t195))) % 16.03/16.29 (assume @p474 (forall @t423 (or @t564 @t98))) % 16.03/16.29 (assume @p475 (forall @t423 (or @t97 (not @t564)))) % 16.03/16.29 (assume @p476 (forall @t178 (= (tptp.c_Relation_OImage @t412 @t8 @t1 @t1) @t8))) % 16.03/16.29 (assume @p477 (forall (@list @t48 @t5 @t1) (= @t555 @t18))) % 16.03/16.29 (assume @p478 (forall @t268 (tptp.c_Relation_Osingle__valued @t412 @t1 @t1))) % 16.03/16.29 (assume @p479 (forall @t75 (= (tptp.c_Relation_ODomain @t74 @t1 @t1) @t8))) % 16.03/16.29 (assume @p480 (forall @t248 (or @t565 @t195))) % 16.03/16.29 (assume @p481 (forall @t248 (or (not @t565) @t194))) % 16.03/16.29 (assume @p482 (forall (@list @t1 @t5) (= (tptp.c_Relation_ODomain @t487 @t1 @t5) @t18))) % 16.03/16.29 (assume @p483 (forall @t248 (= (tptp.c_Relation_ORange @t33 @t1 @t1) @t368))) % 16.03/16.29 (assume @p484 (forall (@list @t31 @t30 @t5 @t84 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t31 @t30 @t5 @t84 @t1) @t5 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t30 @t84 @t1) (tptp.c_Relation_Oconverse @t31 @t5 @t84) @t1 @t84 @t5)))) % 16.03/16.29 (assume @p485 (forall @t75 (tptp.c_Relation_Osym @t74 @t1))) % 16.03/16.29 (assume @p486 (forall @t75 (tptp.c_Relation_Orefl__on @t8 @t74 @t1))) % 16.03/16.29 (assume @p487 (forall @t536 (or (tptp.c_Wellfounded_Owf @t535 @t5) @t165))) % 16.03/16.29 (assume @p488 (forall @t248 (= @t566 @t492))) % 16.03/16.29 (assume @p489 (forall (@list @t5) (or (not (tptp.class_Orderings_Obot @t5)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t50) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t5))))) % 16.03/16.29 (assume @p490 (forall @t536 (or (tptp.c_Relation_Osym @t535 @t5) @t195))) % 16.03/16.29 (assume @p491 (forall @t268 (= (tptp.c_Transitive__Closure_Ortrancl @t179 @t1) @t412))) % 16.03/16.29 (assume @p492 (forall (@list @t1 @t48 @t8 @t5) (or (not (= @t18 @t114)) @t235))) % 16.03/16.29 (assume @p493 (forall @t423 (= (tptp.c_Transitive__Closure_Otrancl @t172 @t1) @t172))) % 16.03/16.29 (assume @p494 (forall (@list @t1 @t84 @t92 @t5) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t89) @t92 @t1 @t84 @t5) @t487))) % 16.03/16.29 (assume @p495 (forall (@list @t92 @t84 @t5 @t1) (= (tptp.c_Relation_Orel__comp @t92 (tptp.c_Orderings_Obot__class_Obot @t316) @t1 @t84 @t5) @t487))) % 16.03/16.29 (assume @p496 (forall @t268 (= (tptp.c_Relation_Oconverse @t412 @t1 @t1) @t412))) % 16.03/16.29 (assume @p497 (forall @t248 (or (tptp.c_Wellfounded_Owf @t33 @t1) @t165))) % 16.03/16.29 (assume @p498 (forall @t562 (= (tptp.c_Relation_OImage @t92 @t234 @t5 @t1) @t18))) % 16.03/16.29 (assume @p499 (forall (@list @t92 @t91 @t1 @t567 @t84 @t314 @t5) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t92 @t91 @t1 @t567 @t84) @t314 @t1 @t84 @t5) (tptp.c_Relation_Orel__comp @t92 (tptp.c_Relation_Orel__comp @t91 @t314 @t567 @t84 @t5) @t1 @t567 @t5)))) % 16.03/16.29 (assume @p500 (forall (@list @t92 @t48 @t5 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t92 @t48 @t5 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t92 @t5 @t5) @t48 @t5 @t1)))) % 16.03/16.29 (assume @p501 (forall @t248 (= @t517 @t515))) % 16.03/16.29 (assume @p502 (forall @t75 (= (tptp.c_Relation_Oconverse @t74 @t1 @t1) @t74))) % 16.03/16.29 (assume @p503 (forall @t248 (or (not @t568) (tptp.c_Equiv__Relations_Oequiv @t369 @t31 @t1)))) % 16.03/16.29 (assume @p504 (forall @t268 (tptp.c_Relation_Oantisym @t412 @t1))) % 16.03/16.29 (assume @p505 (forall @t556 (= (tptp.c_Relation_ORange @t569 @t5 @t1) @t191))) % 16.03/16.29 (assume @p506 (forall (@list @t104 @t31 @t1 @t105) (or (tptp.hBOOL (tptp.c_in @t571 @t104 @t1)) @t570 @t165))) % 16.03/16.29 (assume @p507 (forall @t75 (= (tptp.c_Relation_ORange @t74 @t1 @t1) @t8))) % 16.03/16.29 (assume @p508 (forall (@list @t31 @t30 @t1 @t5 @t84) (or (tptp.c_Relation_Osingle__valued @t90 @t1 @t84) (not (tptp.c_Relation_Osingle__valued @t30 @t5 @t84)) @t572))) % 16.03/16.29 (assume @p509 (forall @t556 (= (tptp.c_Relation_Oconverse @t569 @t5 @t1) @t31))) % 16.03/16.29 (assume @p510 (forall @t266 (or @t568 @t394))) % 16.03/16.29 (assume @p511 (forall @t423 (= (tptp.c_Relation_Orel__comp @t172 @t172 @t1 @t1 @t1) @t172))) % 16.03/16.29 (assume @p512 (forall @t248 (or @t382 (not @t573)))) % 16.03/16.29 (assume @p513 (forall @t248 (or @t573 @t427))) % 16.03/16.29 (assume @p514 (forall @t81 (not (tptp.hBOOL (tptp.hAPP @t18 @t3))))) % 16.03/16.29 (assume @p515 (forall (@list @t1 @t5 @t3 @t64) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t1 @t6)) @t3) @t64))))) % 16.03/16.29 (assume @p516 (forall @t551 (or @t376 (not (tptp.hBOOL (tptp.hAPP @t99 @t574))) @t549))) % 16.03/16.29 (assume @p517 (forall @t309 (or @t76 @t394))) % 16.03/16.29 (assume @p518 (forall @t268 (tptp.c_Relation_Oantisym @t179 @t1))) % 16.03/16.29 (assume @p519 (forall (@list @t5 @t1) (= (tptp.c_Relation_ORange @t575 @t5 @t1) @t18))) % 16.03/16.29 (assume @p520 (forall @t248 (= @t526 (tptp.c_Relation_Oconverse @t200 @t1 @t1)))) % 16.03/16.29 (assume @p521 (forall @t268 (tptp.c_Relation_Orefl__on @t18 @t179 @t1))) % 16.03/16.29 (assume @p522 (forall (@list @t104 @t92 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t577 @t104 @t1)) @t576 @t98))) % 16.03/16.29 (assume @p523 (forall (@list @t1 @t31) (tptp.c_Relation_Ototal__on @t18 @t31 @t1))) % 16.03/16.29 (assume @p524 (forall @t266 (or @t194 @t394))) % 16.03/16.29 (assume @p525 (forall @t540 (or @t539 (not (tptp.hBOOL (tptp.c_in @t578 @t488 @t1)))))) % 16.03/16.29 (assume @p526 (forall (@list @t580 @t48 @t141 @t5 @t84 @t8 @t1 @t579) (or (tptp.c_Equiv__Relations_Ocongruent @t580 @t274 @t5 @t84) @t272 @t581 (not (tptp.c_Equiv__Relations_Oequiv @t8 @t579 @t1))))) % 16.03/16.29 (assume @p527 (forall @t583 (= @t582 @t335))) % 16.03/16.29 (assume @p528 (forall @t248 (= @t33 @t492))) % 16.03/16.29 (assume @p529 (forall @t248 (= @t33 @t566))) % 16.03/16.29 (assume @p530 (forall (@list @t48 @t8 @t5 @t1) (or (not (= @t114 @t18)) @t235))) % 16.03/16.29 (assume @p531 (forall @t583 (= @t335 @t582))) % 16.03/16.29 (assume @p532 (forall @t309 (or @t308 (not @t584)))) % 16.03/16.29 (assume @p533 (forall @t309 (or @t584 @t429))) % 16.03/16.29 (assume @p534 (forall @t168 (or @t167 (tptp.hBOOL (tptp.c_in @t547 @t488 @t1)) @t546))) % 16.03/16.29 (assume @p535 (forall @t588 (or @t587 (not @t585)))) % 16.03/16.29 (assume @p536 (forall @t588 (or @t585 (not @t587)))) % 16.03/16.29 (assume @p537 (forall @t268 (= (tptp.c_Transitive__Closure_Otrancl @t179 @t1) @t179))) % 16.03/16.29 (assume @p538 (forall @t583 (or (not (= @t335 @t18)) (= @t31 @t575)))) % 16.03/16.29 (assume @p539 (forall @t423 (= (tptp.c_Transitive__Closure_Ortrancl @t467 @t1) @t172))) % 16.03/16.29 (assume @p540 (forall @t248 (= (tptp.c_Transitive__Closure_Ortrancl @t200 @t1) @t200))) % 16.03/16.29 (assume @p541 (forall @t248 (tptp.c_Relation_Otrans @t200 @t1))) % 16.03/16.29 (assume @p542 (forall @t248 (tptp.c_Relation_Otrans @t33 @t1))) % 16.03/16.29 (assume @p543 (forall @t75 (tptp.c_Relation_Otrans @t74 @t1))) % 16.03/16.29 (assume @p544 (forall @t248 (or (= @t33 @t31) @t366))) % 16.03/16.29 (assume @p545 (forall @t544 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t543 @t144 @t5 @t1) @t31 @t10)) @t542))) % 16.03/16.29 (assume @p546 (forall @t560 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t559 @t3 @t1 @t1) @t92 @t28)) @t558))) % 16.03/16.29 (assume @p547 (forall @t456 (or @t167 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t552 @t1 @t1) @t31 @t28))) @t546))) % 16.03/16.29 (assume @p548 (forall @t589 (or @t376 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t574 tptp.t_a tptp.t_a) @t31 @t446))) @t549))) % 16.03/16.29 (assume @p549 (forall (@list @t64 @t104 @t1 @t92 @t3) (or @t590 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t577 @t1 @t1) @t92 @t28))) @t576 @t98))) % 16.03/16.29 (assume @p550 (forall (@list @t144 @t31 @t1 @t5) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t144 @t31 @t1 @t5) @t144 @t5 @t1) @t31 @t10)) (not (tptp.hBOOL (tptp.c_in @t144 @t335 @t1)))))) % 16.03/16.29 (assume @p551 (forall @t540 (or @t539 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t578 @t3 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p552 (forall @t594 (or @t593 @t546 @t592))) % 16.03/16.29 (assume @p553 (forall @t594 (or @t593 @t592 @t546))) % 16.03/16.29 (assume @p554 (forall @t597 (or @t376 @t596 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t595 @t550 tptp.t_a tptp.t_a) @t31 @t446))) @t549))) % 16.03/16.29 (assume @p555 (forall (@list @t3 @t92 @t1) (or @t599 @t598))) % 16.03/16.29 (assume @p556 (forall @t589 (or @t376 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t550 tptp.t_a tptp.t_a) @t31 @t446))) @t549))) % 16.03/16.29 (assume @p557 (forall (@list @t48 @t141 @t144 @t1 @t5 @t84 @t8) (or (tptp.hBOOL (tptp.c_in @t513 (tptp.c_Set_Oimage @t514 @t8 @t35 @t84) @t84)) (not (tptp.hBOOL (tptp.c_in @t192 @t8 @t35)))))) % 16.03/16.29 (assume @p558 (forall @t602 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t141 @t31 @t1 @t5) @t1 @t5) @t31 @t35)) @t601))) % 16.03/16.29 (assume @p559 (forall @t597 (or @t376 @t596 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t595 @t574 tptp.t_a tptp.t_a) @t31 @t446))) @t549))) % 16.03/16.29 (assume @p560 (forall @t456 (or @t167 @t455 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t547 @t1 @t1) @t31 @t28))) @t546))) % 16.03/16.29 (assume @p561 (forall (@list @t64 @t104 @t1 @t31 @t105) (or @t590 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t571 @t1 @t1) @t31 @t28))) @t570 @t165))) % 16.03/16.29 (assume @p562 (forall @t602 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t141 @t31 @t1 @t5) @t1 @t5) @t31 @t35)) @t601))) % 16.03/16.29 (assume @p563 (forall @t544 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t554 @t144 @t5 @t1) @t31 @t10)) @t542))) % 16.03/16.29 (assume @p564 (forall @t531 (or @t251 @t530 @t599))) % 16.03/16.29 (assume @p565 (forall @t602 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t141 @t31 @t1 @t5) @t141 @t5 @t1) @t31 @t10)) (not @t603)))) % 16.03/16.29 (assume @p566 (forall @t248 (or @t365 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t605 @t604 @t1 @t1) @t31 @t28)))))) % 16.03/16.29 (assume @p567 (forall @t248 (or @t365 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t606 @t604 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p568 (forall @t248 (or @t365 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t608 @t607 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p569 (forall @t248 (or @t365 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t608 @t609 @t1 @t1) @t31 @t28)))))) % 16.03/16.29 (assume @p570 (forall @t248 (or @t365 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t605 @t606 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p571 (forall @t248 (or @t365 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t607 @t609 @t1 @t1) @t31 @t28))))) % 16.03/16.29 (assume @p572 (= (tptp.hAPP (tptp.hAPP (tptp.c_curry tptp.v_c tptp.t_a tptp.t_b tptp.t_c) tptp.v_x) tptp.v_y) (tptp.hAPP tptp.v_c @t610))) % 16.03/16.29 (assume @p573 (forall (@list @t62 @t236 @t5 @t84 @t1 @t141 @t144) (or (tptp.hBOOL (tptp.c_in @t62 (tptp.hAPP (tptp.c_split @t236 @t5 @t84 @t12) @t511) @t1)) (not (tptp.hBOOL (tptp.c_in @t62 (tptp.hAPP (tptp.hAPP @t236 @t141) @t144) @t1)))))) % 16.03/16.29 (assume @p574 (forall (@list @t48 @t612 @t615 @t611 @t614 @t5 @t580 @t1 @t579 @t84) (or (= (tptp.hAPP (tptp.hAPP @t48 @t612) @t615) (tptp.hAPP (tptp.hAPP @t48 @t611) @t614)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t615 @t614 @t5 @t5) @t580 @t613))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t612 @t611 @t1 @t1) @t579 @t28))) @t581))) % 16.03/16.29 (assume @p575 (forall (@list @t64 @t62 @t3 @t1 @t5 @t31) (or (= @t64 @t62) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t62 @t1 @t5) @t31 @t35))) (not (tptp.hBOOL (tptp.c_in @t616 @t31 @t35))) @t572))) % 16.03/16.29 (assume @p576 (forall (@list @t48 @t92 @t141 @t1 @t5 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t48 @t92 @t141 @t1 @t5) @t3) @t347) (not (tptp.hBOOL (tptp.c_in @t617 @t92 @t28)))))) % 16.03/16.29 (assume @p577 (forall (@list @t48 @t31 @t141 @t1 @t5 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t48 @t31 @t141 @t1 @t5) @t3) @t347) @t618))) % 16.03/16.29 (assume @p578 (forall (@list @t92 @t1 @t5 @t3 @t64) (or @t620 (not @t619)))) % 16.03/16.29 (assume @p579 (forall (@list @t3 @t64 @t1 @t5 @t92) (or @t619 (not @t620)))) % 16.03/16.29 (assume @p580 (forall @t193 (or @t623 (not @t622)))) % 16.03/16.29 (assume @p581 (forall @t625 (or (tptp.hBOOL (tptp.c_in @t621 @t569 @t10)) @t624))) % 16.03/16.29 (assume @p582 (forall @t625 (or @t622 (not @t623)))) % 16.03/16.29 (assume @p583 (forall @t462 (or @t461 @t497))) % 16.03/16.29 (assume @p584 (forall @t525 (or @t524 @t532 @t478))) % 16.03/16.29 (assume @p585 (forall @t525 (or @t524 @t626 @t431))) % 16.03/16.29 (assume @p586 (forall @t525 (or @t627 @t532 @t402))) % 16.03/16.29 (assume @p587 (forall @t525 (or @t627 @t522 @t431))) % 16.03/16.29 (assume @p588 (forall @t304 (or @t477 @t431))) % 16.03/16.29 (assume @p589 (forall @t525 (or @t627 @t522 @t402))) % 16.03/16.29 (assume @p590 (forall @t629 (tptp.hBOOL (tptp.c_in @t628 @t200 @t28)))) % 16.03/16.29 (assume @p591 (forall (@list @t3 @t1 @t92) @t598)) % 16.03/16.29 (assume @p592 (forall (@list @t3 @t141 @t1 @t31) (or @t618 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t3 @t1 @t1) @t31 @t28))) @t165))) % 16.03/16.29 (assume @p593 (forall @t400 (or @t251 @t631 @t501 @t427))) % 16.03/16.29 (assume @p594 (forall @t304 (or @t300 (not @t632) @t431 @t427))) % 16.03/16.29 (assume @p595 (forall (@list @t48 @t64 @t62 @t1 @t31 @t5) (or (= @t586 (tptp.hAPP @t48 @t62)) @t633 (not (tptp.c_Equiv__Relations_Ocongruent @t31 @t48 @t1 @t5))))) % 16.03/16.29 (assume @p596 (forall (@list @t3 @t64 @t1 @t8) (or @t251 @t634))) % 16.03/16.29 (assume @p597 (forall (@list @t48 @t31 @t3 @t1 @t5 @t46 @t64) (or (not @t340) (= @t586 (tptp.hAPP @t46 @t64)) @t631))) % 16.03/16.29 (assume @p598 (forall (@list @t141 @t144 @t1) (or @t300 (not (tptp.hBOOL (tptp.c_in @t303 @t412 @t28)))))) % 16.03/16.29 (assume @p599 (forall @t462 (or @t460 (not @t496)))) % 16.03/16.29 (assume @p600 (forall @t629 (or (not @t635) @t165))) % 16.03/16.29 (assume @p601 (forall (@list @t3 @t64 @t1 @t31 @t48 @t5) (or @t637 (not @t636)))) % 16.03/16.29 (assume @p602 (forall (@list @t48 @t3 @t64 @t5 @t31 @t1) (or @t636 (not @t637)))) % 16.03/16.29 (assume @p603 (forall @t398 (or @t630 @t501 @t195))) % 16.03/16.29 (assume @p604 (forall (@list @t144 @t141 @t1 @t31) (or @t632 @t431 @t195))) % 16.03/16.29 (assume @p605 (forall (@list @t141 @t236 @t1 @t84 @t31 @t30 @t5 @t144) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t236 @t1 @t84) @t90 @t88)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t144 @t236 @t5 @t84) @t30 @t85))) @t624))) % 16.03/16.29 (assume @p606 (forall (@list @t141 @t236 @t1 @t92 @t144) (or (tptp.hBOOL (tptp.c_in @t523 @t467 @t28)) (not (tptp.hBOOL (tptp.c_in @t521 @t92 @t28))) (not (tptp.hBOOL (tptp.c_in @t303 @t92 @t28)))))) % 16.03/16.29 (assume @p607 (forall @t525 (or @t524 @t626 @t478))) % 16.03/16.29 (assume @p608 (forall @t374 (tptp.hBOOL (tptp.c_in @t459 @t412 @t28)))) % 16.03/16.29 (assume @p609 (forall @t538 (tptp.hBOOL (tptp.c_in @t628 @t412 @t28)))) % 16.03/16.29 (assume @p610 (= (tptp.hAPP @t638 tptp.v_x) (tptp.c_in tptp.v_x @t638 tptp.t_a))) % 16.03/16.29 (assume @p611 (= (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel tptp.v_R tptp.t_a tptp.t_b) tptp.v_x) tptp.v_y) (tptp.c_in @t610 tptp.v_R @t639))) % 16.03/16.29 (assume @p612 (= (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a (tptp.tc_fun tptp.t_b tptp.tc_bool))) tptp.v_x) tptp.v_y) (tptp.c_in @t610 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t639 tptp.tc_bool)) @t639))) % 16.03/16.29 (assume @p613 (forall (@list @t31 @t48 @t5) (= (tptp.c_Predicate_Oinv__imagep @t31 @t48 tptp.v_x tptp.v_y @t5 tptp.t_a) (tptp.hAPP (tptp.hAPP @t31 @t49) (tptp.hAPP @t48 tptp.v_y))))) % 16.03/16.29 (assume @p614 (forall (@list @t141 @t144 @t1 @t5 @t8 @t7) (or @t641 (not @t640) @t272))) % 16.03/16.29 (assume @p615 (forall (@list @t141 @t31 @t1 @t144) (or @t545 @t431 (not @t593)))) % 16.03/16.29 (assume @p616 (forall (@list @t64 @t31 @t1 @t141) (or (tptp.hBOOL (tptp.c_in @t64 @t488 @t1)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t141 @t1 @t1) @t31 @t28))) @t546))) % 16.03/16.29 (assume @p617 (forall (@list @t144 @t31 @t8 @t1 @t5 @t141) (or (tptp.hBOOL (tptp.c_in @t144 @t393 @t5)) @t624 @t272))) % 16.03/16.29 (assume @p618 (forall (@list @t144 @t31 @t8 @t5 @t1 @t3) (or @t541 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t144 @t5 @t1) @t31 @t10))) @t414))) % 16.03/16.29 (assume @p619 (forall (@list @t3 @t8 @t1 @t64) (or @t22 @t634))) % 16.03/16.29 (assume @p620 (forall (@list @t3 @t1 @t8) (or (tptp.hBOOL (tptp.c_in @t459 @t74 @t28)) @t23))) % 16.03/16.29 (assume @p621 (forall @t642 (or @t504 @t501 @t394))) % 16.03/16.29 (assume @p622 (forall @t643 (or @t22 @t501 @t394))) % 16.03/16.29 (assume @p623 (forall (@list @t141 @t31 @t5 @t1 @t3) (or @t603 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t141 @t5 @t1) @t31 @t10)))))) % 16.03/16.29 (assume @p624 (forall (@list @t144 @t31 @t1 @t5 @t141) (or (tptp.hBOOL (tptp.c_in @t144 (tptp.c_Relation_ORange @t31 @t1 @t5) @t5)) @t624))) % 16.03/16.29 (assume @p625 (forall (@list @t141 @t31 @t1 @t5 @t3) (or @t600 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t141 @t3 @t1 @t5) @t31 @t35)))))) % 16.03/16.29 (assume @p626 (forall (@list @t141 @t31 @t1 @t5 @t144) (or @t600 @t624))) % 16.03/16.29 (assume @p627 (forall (@list @t144 @t7 @t141 @t5 @t1 @t8) (or @t640 @t644))) % 16.03/16.29 (assume @p628 (forall (@list @t141 @t8 @t1 @t144 @t5 @t7) (or @t271 @t644))) % 16.03/16.29 (assume @p629 (forall (@list @t105 @t3 @t1 @t31 @t8) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t105 @t3 @t1 @t1) @t31 @t28)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t105 @t1 @t1) @t31 @t28)) (= @t3 @t105) (not (tptp.hBOOL (tptp.c_in @t105 @t8 @t1))) @t23 @t429))) % 16.03/16.29 (assume @p630 (forall (@list @t3 @t1 @t31 @t8) (or @t460 @t23 @t77))) % 16.03/16.29 (assume @p631 (forall @t642 (or @t504 @t501 @t77))) % 16.03/16.29 (assume @p632 (forall @t643 (or @t22 @t501 @t77))) % 16.03/16.29 (assume @p633 (forall (@list @t141 @t1 @t31 @t8) (or @t635 @t272 @t77))) % 16.03/16.29 (assume @p634 (forall @t648 (or @t647 (= @t144 @t645)))) % 16.03/16.29 (assume @p635 (forall @t648 (or @t647 (= @t141 @t646)))) % 16.03/16.29 (assume @p636 @t649) % 16.03/16.29 (assume @p637 (forall @t525 (or (tptp.hBOOL (tptp.c_in @t523 @t31 @t28)) @t532 @t431 @t366))) % 16.03/16.29 (assume @p638 (forall (@list @t3 @t91 @t1) (or @t651 (not @t650)))) % 16.03/16.29 (assume @p639 (forall (@list @t91 @t3 @t1) (or @t650 (not @t651)))) % 16.03/16.29 (assume @p640 (not (= tptp.v_x tptp.v_y))) % 16.03/16.29 (assume @p641 @t652) % 16.03/16.29 (assume @p642 (forall (@list @t3) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t653))))) % 16.03/16.30 (assume @p643 @t654) % 16.03/16.30 (assume @p644 @t655) % 16.03/16.30 (assume @p645 (forall (@list @t64 @t3) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t64 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t653)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t64 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_L @t653)) @t251))) % 16.03/16.30 (assume @p646 (forall @t660 (or (tptp.class_Lattices_Oupper__semilattice @t659) @t657))) % 16.03/16.30 (assume @p647 (forall @t660 (or (tptp.class_Lattices_Olower__semilattice @t659) @t657))) % 16.03/16.30 (assume @p648 (forall @t660 (or (tptp.class_Lattices_Odistrib__lattice @t659) (not (tptp.class_Lattices_Odistrib__lattice @t656))))) % 16.03/16.30 (assume @p649 (forall @t660 (or (tptp.class_Lattices_Obounded__lattice @t659) (not (tptp.class_Lattices_Obounded__lattice @t656))))) % 16.03/16.30 (assume @p650 (forall @t660 (or (tptp.class_Orderings_Opreorder @t659) (not (tptp.class_Orderings_Opreorder @t656))))) % 16.03/16.30 (assume @p651 (forall @t660 (or (tptp.class_Lattices_Olattice @t659) @t657))) % 16.03/16.30 (assume @p652 (forall @t660 (or (tptp.class_Orderings_Oorder @t659) (not (tptp.class_Orderings_Oorder @t656))))) % 16.03/16.30 (assume @p653 (forall @t660 (or (tptp.class_Orderings_Obot @t659) (not (tptp.class_Orderings_Obot @t656))))) % 16.03/16.30 (assume @p654 (forall @t660 (or (tptp.class_HOL_Ominus @t659) (not (tptp.class_HOL_Ominus @t656))))) % 16.03/16.30 (assume @p655 (forall @t660 (or (tptp.class_HOL_Oord @t659) (not (tptp.class_HOL_Oord @t656))))) % 16.03/16.30 (assume @p656 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 16.03/16.30 (assume @p657 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 16.03/16.30 (assume @p658 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 16.03/16.30 (assume @p659 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 16.03/16.30 (assume @p660 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 16.03/16.30 (assume @p661 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 16.03/16.30 (assume @p662 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 16.03/16.30 (assume @p663 (tptp.class_Orderings_Obot tptp.tc_bool)) % 16.03/16.30 (assume @p664 (tptp.class_HOL_Ominus tptp.tc_bool)) % 16.03/16.30 (assume @p665 (tptp.class_HOL_Oord tptp.tc_bool)) % 16.03/16.30 (assume @p666 (forall @t374 (tptp.c_fequal @t3 @t3 @t1))) % 16.03/16.30 (assume @p667 (forall (@list @t662 @t661 @t1) (or (= @t662 @t661) (not (tptp.c_fequal @t662 @t661 @t1))))) % 16.03/16.30 (step @p668 :rule instantiate :premises (@p642) :args ((@list tptp.v_x))) % 16.03/16.30 (step @p669 :rule cnf_or_pos :args (@t667)) % 16.03/16.30 (step @p670 :rule reordering :premises (@p669) :args ((or @t663 @t665 @t664 @t666 @t668))) % 16.03/16.30 (step @p671 :rule chain_m_resolution :premises (@p670 @p641 @p643 @p644 @p668) :args (@t668 (@list false false false true) (@list @t652 @t654 @t655 @t666))) % 16.03/16.30 (assume-push @p678 @t649) % 16.03/16.30 (step @p673 :rule instantiate :premises (@p636) :args ((@list tptp.v_x tptp.v_x tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_L tptp.v_y))) % 16.03/16.30 (step-pop @p679 :rule scope :premises (@p673)) % 16.03/16.30 (step @p674 :rule process_scope :premises (@p679) :args (@t667)) % 16.03/16.30 (step @p676 :rule implies_elim :premises (@p674)) % 16.03/16.30 (step @p677 false :rule chain_m_resolution :premises (@p676 @p671 @p636) :args (false (@list true false) (@list @t667 @t649))) % 16.03/16.30 ) % 16.03/16.30 % SZS output end Proof % 16.03/16.30 % cvc5 exiting %------------------------------------------------------------------------------