%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT024-1 : 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 : n005.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 08:46:11 AM UTC 2026 % Result : Unsatisfiable 1.64s 1.88s % Output : Proof 1.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT024-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:18:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.40/0.65 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.64/1.88 % SZS status Unsatisfiable % 1.64/1.88 % SZS output start Proof % 1.74/1.90 ( % 1.74/1.90 (declare-sort $$unsorted 0) % 1.74/1.90 (declare-const tptp.v_Pa (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_a $$unsorted) % 1.74/1.90 (declare-const tptp.v_i $$unsorted) % 1.74/1.90 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__XUNIV__witness__1__1 (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.t_b $$unsorted) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_b $$unsorted) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.tc_bool $$unsorted) % 1.74/1.90 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v_r $$unsorted) % 1.74/1.90 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.v_x $$unsorted) % 1.74/1.90 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xball__UNIV__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v_P $$unsorted) % 1.74/1.90 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.t_a $$unsorted) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.74/1.90 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.74/1.90 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.74/1.90 (define @t1 () (@var "T_a" $$unsorted)) % 1.74/1.90 (define @t2 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.74/1.90 (define @t3 () (@var "V_x" $$unsorted)) % 1.74/1.90 (define @t4 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t1)) % 1.74/1.90 (define @t5 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.74/1.90 (define @t6 () (@list @t1 @t3)) % 1.74/1.90 (define @t7 () (tptp.tc_prod @t1 @t1)) % 1.74/1.90 (define @t8 () (tptp.tc_fun @t7 tptp.tc_bool)) % 1.74/1.90 (define @t9 () (@var "V_s" $$unsorted)) % 1.74/1.90 (define @t10 () (@var "V_r" $$unsorted)) % 1.74/1.90 (define @t11 () (not (tptp.c_lessequals @t10 @t9 @t8))) % 1.74/1.90 (define @t12 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t1)) % 1.74/1.90 (define @t13 () (tptp.c_Transitive__Closure_Ortrancl @t10 @t1)) % 1.74/1.90 (define @t14 () (tptp.c_lessequals @t13 @t12 @t8)) % 1.74/1.90 (define @t15 () (@list @t10 @t1 @t9)) % 1.74/1.90 (define @t16 () (@var "V_A" $$unsorted)) % 1.74/1.90 (define @t17 () (@var "V_u" $$unsorted)) % 1.74/1.90 (define @t18 () (@var "T_b" $$unsorted)) % 1.74/1.90 (define @t19 () (tptp.tc_fun @t18 tptp.tc_bool)) % 1.74/1.90 (define @t20 () (@var "V_B" $$unsorted)) % 1.74/1.90 (define @t21 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t20 @t1 @t19)) % 1.74/1.90 (define @t22 () (@var "V_a" $$unsorted)) % 1.74/1.90 (define @t23 () (tptp.c_Set_Oinsert @t22 @t18)) % 1.74/1.90 (define @t24 () (tptp.c_Relation_Osym @t10 @t1)) % 1.74/1.90 (define @t25 () (not @t24)) % 1.74/1.90 (define @t26 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t8)) % 1.74/1.90 (define @t27 () (tptp.hAPP @t26 @t9)) % 1.74/1.90 (define @t28 () (tptp.c_Relation_ODomain @t10 @t1 @t18)) % 1.74/1.90 (define @t29 () (tptp.c_Set_Oinsert @t22 @t1)) % 1.74/1.90 (define @t30 () (tptp.tc_prod @t1 @t18)) % 1.74/1.90 (define @t31 () (@var "V_b" $$unsorted)) % 1.74/1.90 (define @t32 () (tptp.c_Pair @t22 @t31 @t1 @t18)) % 1.74/1.90 (define @t33 () (tptp.c_Set_Oinsert @t32 @t30)) % 1.74/1.90 (define @t34 () (@list @t22 @t31 @t1 @t18 @t10)) % 1.74/1.90 (define @t35 () (@var "V_y" $$unsorted)) % 1.74/1.90 (define @t36 () (tptp.c_Set_Oinsert @t35 @t1)) % 1.74/1.90 (define @t37 () (tptp.hAPP @t36 @t16)) % 1.74/1.90 (define @t38 () (tptp.hBOOL (tptp.hAPP @t37 @t3))) % 1.74/1.90 (define @t39 () (= @t35 @t3)) % 1.74/1.90 (define @t40 () (tptp.hBOOL (tptp.hAPP @t16 @t3))) % 1.74/1.90 (define @t41 () (tptp.c_Set_Oinsert @t3 @t1)) % 1.74/1.90 (define @t42 () (tptp.hAPP @t41 @t16)) % 1.74/1.90 (define @t43 () (@list @t3 @t1 @t16)) % 1.74/1.90 (define @t44 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.74/1.90 (define @t45 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t44)) % 1.74/1.90 (define @t46 () (tptp.hAPP @t45 @t20)) % 1.74/1.90 (define @t47 () (tptp.hAPP @t29 @t46)) % 1.74/1.90 (define @t48 () (tptp.hAPP @t29 @t20)) % 1.74/1.90 (define @t49 () (tptp.hAPP @t29 @t16)) % 1.74/1.90 (define @t50 () (tptp.c_Orderings_Obot__class_Obot @t44)) % 1.74/1.90 (define @t51 () (@list @t22 @t1 @t16)) % 1.74/1.90 (define @t52 () (tptp.hAPP @t29 @t50)) % 1.74/1.90 (define @t53 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t44)) % 1.74/1.90 (define @t54 () (tptp.hAPP @t53 @t52)) % 1.74/1.90 (define @t55 () (tptp.hAPP @t53 @t48)) % 1.74/1.90 (define @t56 () (@list @t16 @t1 @t22 @t20)) % 1.74/1.90 (define @t57 () (tptp.hAPP @t53 @t20)) % 1.74/1.90 (define @t58 () (tptp.c_HOL_Ominus__class_Ominus @t57 @t44)) % 1.74/1.90 (define @t59 () (tptp.c_Complete__Lattice_OSup__class_OSup @t16 @t1)) % 1.74/1.90 (define @t60 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t1)) % 1.74/1.90 (define @t61 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 1.74/1.90 (define @t62 () (@list @t1 @t22 @t16)) % 1.74/1.90 (define @t63 () (@list @t1 @t16)) % 1.74/1.90 (define @t64 () (@var "V_C" $$unsorted)) % 1.74/1.90 (define @t65 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t64 (tptp.c_COMBB @t29 @t20 @t44 @t44 @t18) @t18 @t44)) % 1.74/1.90 (define @t66 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t64 @t20 @t18 @t44)) % 1.74/1.90 (define @t67 () (tptp.hAPP @t29 @t66)) % 1.74/1.90 (define @t68 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t44)) % 1.74/1.90 (define @t69 () (tptp.hAPP @t68 @t20)) % 1.74/1.90 (define @t70 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t44)) % 1.74/1.90 (define @t71 () (tptp.hAPP @t70 @t64)) % 1.74/1.90 (define @t72 () (@list @t22 @t1 @t20 @t64)) % 1.74/1.90 (define @t73 () (@var "V_S" $$unsorted)) % 1.74/1.90 (define @t74 () (@var "V_R" $$unsorted)) % 1.74/1.90 (define @t75 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t8)) % 1.74/1.90 (define @t76 () (tptp.hAPP @t75 @t73)) % 1.74/1.90 (define @t77 () (tptp.c_Transitive__Closure_Ortrancl @t76 @t1)) % 1.74/1.90 (define @t78 () (tptp.c_Transitive__Closure_Ortrancl @t73 @t1)) % 1.74/1.90 (define @t79 () (tptp.c_Transitive__Closure_Ortrancl @t74 @t1)) % 1.74/1.90 (define @t80 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t79 @t8)) % 1.74/1.90 (define @t81 () (tptp.hAPP @t80 @t78)) % 1.74/1.90 (define @t82 () (@list @t74 @t1 @t73)) % 1.74/1.90 (define @t83 () (@var "T_c" $$unsorted)) % 1.74/1.90 (define @t84 () (tptp.c_Relation_OImage @t10 @t18 @t1)) % 1.74/1.90 (define @t85 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 (tptp.c_COMBB @t84 @t20 @t19 @t44 @t83) @t83 @t44)) % 1.74/1.90 (define @t86 () (tptp.hAPP @t84 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t20 @t83 @t19))) % 1.74/1.90 (define @t87 () (@list @t10 @t18 @t1 @t16 @t20 @t83)) % 1.74/1.90 (define @t88 () (tptp.c_Orderings_Obot__class_Obot @t19)) % 1.74/1.90 (define @t89 () (= @t64 @t88)) % 1.74/1.90 (define @t90 () (tptp.c_COMBB @t45 @t20 @t44 @t44 @t18)) % 1.74/1.90 (define @t91 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t64 @t90 @t18 @t44)) % 1.74/1.90 (define @t92 () (tptp.hAPP @t45 @t66)) % 1.74/1.90 (define @t93 () (@list @t16 @t1 @t64 @t20 @t18)) % 1.74/1.90 (define @t94 () (tptp.c_Wellfounded_Owf @t10 @t1)) % 1.74/1.90 (define @t95 () (not @t94)) % 1.74/1.90 (define @t96 () (@var "V_P" $$unsorted)) % 1.74/1.90 (define @t97 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t96 @t10 @t1)) % 1.74/1.90 (define @t98 () (tptp.hBOOL (tptp.hAPP @t96 @t22))) % 1.74/1.90 (define @t99 () (@list @t96 @t22 @t10 @t1)) % 1.74/1.90 (define @t100 () (tptp.tc_prod @t18 @t1)) % 1.74/1.90 (define @t101 () (tptp.tc_fun @t100 tptp.tc_bool)) % 1.74/1.90 (define @t102 () (tptp.c_Relation_ORange @t20 @t18 @t1)) % 1.74/1.90 (define @t103 () (tptp.c_Relation_ORange @t16 @t18 @t1)) % 1.74/1.90 (define @t104 () (@list @t16 @t18 @t1 @t20)) % 1.74/1.90 (define @t105 () (tptp.c_lessequals @t16 @t20 @t44)) % 1.74/1.90 (define @t106 () (not @t105)) % 1.74/1.90 (define @t107 () (tptp.c_Set_Oinsert @t31 @t1)) % 1.74/1.90 (define @t108 () (tptp.hAPP @t107 @t20)) % 1.74/1.90 (define @t109 () (tptp.c_lessequals @t42 @t20 @t44)) % 1.74/1.90 (define @t110 () (not @t109)) % 1.74/1.90 (define @t111 () (@list @t16 @t20 @t1 @t3)) % 1.74/1.90 (define @t112 () (tptp.hBOOL (tptp.c_in @t3 @t20 @t1))) % 1.74/1.90 (define @t113 () (not @t112)) % 1.74/1.90 (define @t114 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t44)) % 1.74/1.90 (define @t115 () (tptp.hAPP @t114 @t20)) % 1.74/1.90 (define @t116 () (@list @t3 @t1 @t16 @t20)) % 1.74/1.90 (define @t117 () (not (tptp.hBOOL (tptp.c_in @t3 @t64 @t1)))) % 1.74/1.90 (define @t118 () (tptp.c_lessequals @t16 @t20 @t19)) % 1.74/1.90 (define @t119 () (tptp.c_COMBK @t64 @t44 @t18)) % 1.74/1.90 (define @t120 () (tptp.c_Product__Type_OSigma @t20 @t119 @t18 @t1)) % 1.74/1.90 (define @t121 () (tptp.c_Product__Type_OSigma @t16 @t119 @t18 @t1)) % 1.74/1.90 (define @t122 () (tptp.c_lessequals @t121 @t120 @t101)) % 1.74/1.90 (define @t123 () (@list @t16 @t64 @t1 @t18 @t20 @t3)) % 1.74/1.90 (define @t124 () (tptp.hAPP @t41 @t50)) % 1.74/1.90 (define @t125 () (tptp.c_lessequals (tptp.hAPP @t53 @t124) @t20 @t44)) % 1.74/1.90 (define @t126 () (not @t125)) % 1.74/1.90 (define @t127 () (tptp.hBOOL (tptp.c_in @t3 @t16 @t1))) % 1.74/1.90 (define @t128 () (not @t127)) % 1.74/1.90 (define @t129 () (tptp.hAPP @t41 @t20)) % 1.74/1.90 (define @t130 () (tptp.c_lessequals @t16 @t129 @t44)) % 1.74/1.90 (define @t131 () (@list @t16 @t3 @t1 @t20)) % 1.74/1.90 (define @t132 () (not @t130)) % 1.74/1.90 (define @t133 () (not (= @t46 @t50))) % 1.74/1.90 (define @t134 () (@list @t16 @t1 @t20)) % 1.74/1.90 (define @t135 () (@var "V_g" $$unsorted)) % 1.74/1.90 (define @t136 () (tptp.hAPP @t135 tptp.v_x)) % 1.74/1.90 (define @t137 () (@var "V_f" $$unsorted)) % 1.74/1.90 (define @t138 () (tptp.hAPP @t137 tptp.v_x)) % 1.74/1.90 (define @t139 () (tptp.tc_fun tptp.t_a @t18)) % 1.74/1.90 (define @t140 () (not (tptp.class_Lattices_Olattice @t18))) % 1.74/1.90 (define @t141 () (@list @t18 @t137 @t135)) % 1.74/1.90 (define @t142 () (tptp.tc_fun @t30 tptp.tc_bool)) % 1.74/1.90 (define @t143 () (tptp.c_Relation_ODomain @t20 @t1 @t18)) % 1.74/1.90 (define @t144 () (tptp.c_Relation_ODomain @t16 @t1 @t18)) % 1.74/1.90 (define @t145 () (@list @t16 @t1 @t18 @t20)) % 1.74/1.90 (define @t146 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t44)) % 1.74/1.90 (define @t147 () (tptp.hAPP @t146 @t16)) % 1.74/1.90 (define @t148 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t44)) % 1.74/1.90 (define @t149 () (tptp.hAPP @t148 @t16)) % 1.74/1.90 (define @t150 () (@list @t20 @t1 @t64 @t16)) % 1.74/1.90 (define @t151 () (tptp.hAPP @t45 @t64)) % 1.74/1.90 (define @t152 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t46 @t44)) % 1.74/1.90 (define @t153 () (tptp.hAPP @t45 @t71)) % 1.74/1.90 (define @t154 () (@list @t16 @t1 @t20 @t64)) % 1.74/1.90 (define @t155 () (@var "V_z" $$unsorted)) % 1.74/1.90 (define @t156 () (tptp.hAPP @t4 @t155)) % 1.74/1.90 (define @t157 () (tptp.hAPP @t4 @t35)) % 1.74/1.90 (define @t158 () (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t157 @t1) @t156)) % 1.74/1.90 (define @t159 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t1)) % 1.74/1.90 (define @t160 () (tptp.hAPP @t159 @t155)) % 1.74/1.90 (define @t161 () (tptp.hAPP @t4 @t160)) % 1.74/1.90 (define @t162 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 1.74/1.90 (define @t163 () (@list @t1 @t3 @t35 @t155)) % 1.74/1.90 (define @t164 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t1)) % 1.74/1.90 (define @t165 () (tptp.hAPP @t164 @t3)) % 1.74/1.90 (define @t166 () (@list @t1 @t35 @t155 @t3)) % 1.74/1.90 (define @t167 () (tptp.c_Product__Type_OSigma @t16 (tptp.c_COMBK @t16 @t44 @t1) @t1 @t1)) % 1.74/1.90 (define @t168 () (tptp.c_Relation_OId__on @t16 @t1)) % 1.74/1.90 (define @t169 () (@list @t16 @t1)) % 1.74/1.90 (define @t170 () (tptp.c_Relation_Orefl__on @t16 @t10 @t1)) % 1.74/1.90 (define @t171 () (not @t170)) % 1.74/1.90 (define @t172 () (tptp.c_lessequals @t10 @t167 @t8)) % 1.74/1.90 (define @t173 () (@list @t10 @t16 @t1)) % 1.74/1.90 (define @t174 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t1)) % 1.74/1.90 (define @t175 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 1.74/1.90 (define @t176 () (@var "V_r_H" $$unsorted)) % 1.74/1.90 (define @t177 () (not (tptp.c_lessequals @t176 @t10 @t142))) % 1.74/1.90 (define @t178 () (tptp.tc_prod @t18 @t83)) % 1.74/1.90 (define @t179 () (tptp.tc_fun @t178 tptp.tc_bool)) % 1.74/1.90 (define @t180 () (@var "V_s_H" $$unsorted)) % 1.74/1.90 (define @t181 () (tptp.tc_prod @t1 @t83)) % 1.74/1.90 (define @t182 () (tptp.tc_fun @t181 tptp.tc_bool)) % 1.74/1.90 (define @t183 () (tptp.c_Relation_Orel__comp @t10 @t9 @t1 @t18 @t83)) % 1.74/1.90 (define @t184 () (tptp.c_Relation_OImage @t74 @t18 @t1)) % 1.74/1.90 (define @t185 () (tptp.hAPP @t184 @t16)) % 1.74/1.90 (define @t186 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t185 @t44)) % 1.74/1.90 (define @t187 () (tptp.hAPP @t184 @t20)) % 1.74/1.90 (define @t188 () (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t19) @t20)) % 1.74/1.90 (define @t189 () (@list @t74 @t18 @t1 @t16 @t20)) % 1.74/1.90 (define @t190 () (tptp.c_Wellfounded_Owf @t74 @t1)) % 1.74/1.90 (define @t191 () (not @t190)) % 1.74/1.90 (define @t192 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t96 @t74 @t1)) % 1.74/1.90 (define @t193 () (@var "V_Rb" $$unsorted)) % 1.74/1.90 (define @t194 () (@var "V_Q" $$unsorted)) % 1.74/1.90 (define @t195 () (@list @t64 @t16 @t1 @t20 @t18)) % 1.74/1.90 (define @t196 () (@var "V_xa" $$unsorted)) % 1.74/1.90 (define @t197 () (tptp.c_Set_Oinsert @t196 @t1)) % 1.74/1.90 (define @t198 () (tptp.c_COMBK @t20 @t19 @t1)) % 1.74/1.90 (define @t199 () (not (tptp.c_lessequals @t10 (tptp.c_Product__Type_OSigma @t16 @t198 @t1 @t18) @t142))) % 1.74/1.90 (define @t200 () (tptp.c_Relation_OImage @t10 @t1 @t18)) % 1.74/1.90 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t1)) % 1.74/1.90 (define @t202 () (tptp.hAPP @t201 @t3)) % 1.74/1.90 (define @t203 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.74/1.90 (define @t204 () (@var "V_y_H" $$unsorted)) % 1.74/1.90 (define @t205 () (@var "V_x_H" $$unsorted)) % 1.74/1.90 (define @t206 () (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t205 @t1) @t204)) % 1.74/1.90 (define @t207 () (tptp.c_Set_Oimage @t137 @t20 @t18 @t1)) % 1.74/1.90 (define @t208 () (tptp.c_Set_Oimage @t137 @t16 @t18 @t1)) % 1.74/1.90 (define @t209 () (tptp.hAPP @t68 @t64)) % 1.74/1.90 (define @t210 () (tptp.hAPP @t68 @t71)) % 1.74/1.90 (define @t211 () (tptp.hAPP @t174 @t160)) % 1.74/1.90 (define @t212 () (tptp.hAPP @t174 @t35)) % 1.74/1.90 (define @t213 () (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t212 @t1) @t155) @t211)) % 1.74/1.90 (define @t214 () (tptp.hAPP @t174 @t155)) % 1.74/1.90 (define @t215 () (= @t211 (tptp.hAPP @t159 @t214))) % 1.74/1.90 (define @t216 () (not (tptp.class_Lattices_Olattice @t1))) % 1.74/1.90 (define @t217 () (not (tptp.c_lessequals @t20 @t16 @t44))) % 1.74/1.90 (define @t218 () (tptp.c_lessequals @t3 @t35 @t1)) % 1.74/1.90 (define @t219 () (not @t218)) % 1.74/1.90 (define @t220 () (= @t157 @t3)) % 1.74/1.90 (define @t221 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 1.74/1.90 (define @t222 () (@list @t1 @t3 @t35)) % 1.74/1.90 (define @t223 () (tptp.c_lessequals @t35 @t3 @t1)) % 1.74/1.90 (define @t224 () (not @t223)) % 1.74/1.90 (define @t225 () (tptp.c_lessequals @t16 @t64 @t44)) % 1.74/1.90 (define @t226 () (not @t225)) % 1.74/1.90 (define @t227 () (tptp.c_lessequals @t20 @t64 @t44)) % 1.74/1.90 (define @t228 () (not @t227)) % 1.74/1.90 (define @t229 () (tptp.c_lessequals @t69 @t64 @t44)) % 1.74/1.90 (define @t230 () (tptp.c_lessequals @t22 @t3 @t1)) % 1.74/1.90 (define @t231 () (not @t230)) % 1.74/1.90 (define @t232 () (tptp.c_lessequals @t31 @t3 @t1)) % 1.74/1.90 (define @t233 () (not @t232)) % 1.74/1.90 (define @t234 () (tptp.hAPP @t60 @t31)) % 1.74/1.90 (define @t235 () (tptp.c_lessequals @t234 @t3 @t1)) % 1.74/1.90 (define @t236 () (@list @t1 @t22 @t31 @t3)) % 1.74/1.90 (define @t237 () (tptp.c_lessequals @t3 @t212 @t1)) % 1.74/1.90 (define @t238 () (tptp.c_lessequals @t35 @t212 @t1)) % 1.74/1.90 (define @t239 () (@list @t1 @t35 @t3)) % 1.74/1.90 (define @t240 () (tptp.c_lessequals @t155 @t3 @t1)) % 1.74/1.90 (define @t241 () (tptp.c_lessequals @t3 @t155 @t1)) % 1.74/1.90 (define @t242 () (not @t241)) % 1.74/1.90 (define @t243 () (tptp.c_lessequals @t35 @t155 @t1)) % 1.74/1.90 (define @t244 () (not @t243)) % 1.74/1.90 (define @t245 () (tptp.c_lessequals @t212 @t155 @t1)) % 1.74/1.90 (define @t246 () (@list @t1 @t20)) % 1.74/1.90 (define @t247 () (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t19) @t20)) % 1.74/1.90 (define @t248 () (@list @t137 @t16 @t18 @t20 @t1)) % 1.74/1.90 (define @t249 () (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t185 @t44) @t187)) % 1.74/1.90 (define @t250 () (tptp.hAPP @t184 @t247)) % 1.74/1.90 (define @t251 () (tptp.c_lessequals @t64 @t16 @t44)) % 1.74/1.90 (define @t252 () (= (tptp.hAPP @t152 @t64) @t153)) % 1.74/1.90 (define @t253 () (not @t251)) % 1.74/1.90 (define @t254 () (@var "V_J" $$unsorted)) % 1.74/1.90 (define @t255 () (tptp.c_Product__Type_OSigma @t254 @t64 @t1 @t18)) % 1.74/1.90 (define @t256 () (@var "V_I" $$unsorted)) % 1.74/1.90 (define @t257 () (tptp.c_Product__Type_OSigma @t256 @t64 @t1 @t18)) % 1.74/1.90 (define @t258 () (@list @t256 @t1 @t254 @t64 @t18)) % 1.74/1.90 (define @t259 () (tptp.tc_fun @t83 tptp.tc_bool)) % 1.74/1.90 (define @t260 () (tptp.c_Wellfounded_Owf @t76 @t1)) % 1.74/1.90 (define @t261 () (tptp.hBOOL (tptp.hAPP @t69 @t3))) % 1.74/1.90 (define @t262 () (tptp.hAPP @t20 @t3)) % 1.74/1.90 (define @t263 () (tptp.hBOOL @t262)) % 1.74/1.90 (define @t264 () (@list @t20 @t3 @t16 @t1)) % 1.74/1.90 (define @t265 () (not @t263)) % 1.74/1.90 (define @t266 () (@list @t16 @t1 @t20 @t3)) % 1.74/1.90 (define @t267 () (not @t40)) % 1.74/1.90 (define @t268 () (tptp.hAPP @t164 @t155)) % 1.74/1.90 (define @t269 () (tptp.hAPP @t4 @t268)) % 1.74/1.90 (define @t270 () (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t157 @t1) @t155) @t269)) % 1.74/1.90 (define @t271 () (= @t269 (tptp.hAPP @t164 @t156))) % 1.74/1.90 (define @t272 () (tptp.hAPP @t148 @t64)) % 1.74/1.90 (define @t273 () (tptp.hAPP @t45 @t272)) % 1.74/1.90 (define @t274 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t44)) % 1.74/1.90 (define @t275 () (tptp.c_COMBK (tptp.hAPP (tptp.c_Set_Oinsert @t31 @t18) @t20) @t19 @t1)) % 1.74/1.90 (define @t276 () (tptp.c_HOL_Ominus__class_Ominus @t151 @t44)) % 1.74/1.90 (define @t277 () (tptp.hAPP @t276 @t272)) % 1.74/1.90 (define @t278 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t44)) % 1.74/1.90 (define @t279 () (= @t16 @t88)) % 1.74/1.90 (define @t280 () (@var "V_c" $$unsorted)) % 1.74/1.90 (define @t281 () (tptp.c_Set_Oinsert @t280 @t1)) % 1.74/1.90 (define @t282 () (tptp.c_COMBK @t280 @t1 @t18)) % 1.74/1.90 (define @t283 () (@var "V_D" $$unsorted)) % 1.74/1.90 (define @t284 () (tptp.c_HOL_Ominus__class_Ominus @t64 @t44)) % 1.74/1.90 (define @t285 () (@list @t16 @t1 @t20 @t64 @t283)) % 1.74/1.90 (define @t286 () (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t212 @t1) @t214)) % 1.74/1.90 (define @t287 () (tptp.hAPP @t174 @t268)) % 1.74/1.90 (define @t288 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t96 @t10 @t1)) % 1.74/1.90 (define @t289 () (@var "V_xb" $$unsorted)) % 1.74/1.90 (define @t290 () (tptp.hBOOL (tptp.hAPP @t96 @t289))) % 1.74/1.90 (define @t291 () (tptp.c_Relation_Oconverse @t10 @t1 @t1)) % 1.74/1.90 (define @t292 () (tptp.c_Wellfounded_Oacyclic @t291 @t1)) % 1.74/1.90 (define @t293 () (tptp.c_Wellfounded_Oacyclic @t10 @t1)) % 1.74/1.90 (define @t294 () (@list @t10 @t1)) % 1.74/1.90 (define @t295 () (not @t293)) % 1.74/1.90 (define @t296 () (= @t16 @t20)) % 1.74/1.90 (define @t297 () (= @t3 @t35)) % 1.74/1.90 (define @t298 () (not (tptp.class_Orderings_Oorder @t1))) % 1.74/1.90 (define @t299 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t44)) % 1.74/1.90 (define @t300 () (= @t212 @t35)) % 1.74/1.90 (define @t301 () (= @t69 @t20)) % 1.74/1.90 (define @t302 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t64 (tptp.c_COMBB @t68 @t20 @t44 @t44 @t18) @t18 @t44)) % 1.74/1.90 (define @t303 () (tptp.hAPP @t68 @t66)) % 1.74/1.90 (define @t304 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t256 @t16 @t18 @t44)) % 1.74/1.90 (define @t305 () (= @t22 @t280)) % 1.74/1.90 (define @t306 () (@var "V_d" $$unsorted)) % 1.74/1.90 (define @t307 () (= @t22 @t306)) % 1.74/1.90 (define @t308 () (tptp.hAPP @t107 @t50)) % 1.74/1.90 (define @t309 () (tptp.hAPP @t29 @t308)) % 1.74/1.90 (define @t310 () (not (= @t309 (tptp.hAPP @t281 (tptp.hAPP (tptp.c_Set_Oinsert @t306 @t1) @t50))))) % 1.74/1.90 (define @t311 () (@list @t22 @t1 @t31 @t280 @t306)) % 1.74/1.90 (define @t312 () (= @t31 @t280)) % 1.74/1.90 (define @t313 () (= @t31 @t306)) % 1.74/1.90 (define @t314 () (not @t172)) % 1.74/1.90 (define @t315 () (tptp.c_Transitive__Closure_Otrancl @t10 @t1)) % 1.74/1.90 (define @t316 () (@list @t10 @t1 @t16)) % 1.74/1.90 (define @t317 () (= @t16 @t50)) % 1.74/1.90 (define @t318 () (@list @t1)) % 1.74/1.90 (define @t319 () (tptp.hBOOL (tptp.c_in @t22 @t64 @t1))) % 1.74/1.90 (define @t320 () (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t44) @t64)) % 1.74/1.90 (define @t321 () (tptp.hBOOL (tptp.c_in @t22 @t16 @t1))) % 1.74/1.90 (define @t322 () (not @t321)) % 1.74/1.90 (define @t323 () (tptp.hAPP @t45 @t48)) % 1.74/1.90 (define @t324 () (tptp.hAPP @t137 @t22)) % 1.74/1.90 (define @t325 () (not (tptp.c_lessequals @t20 @t283 @t44))) % 1.74/1.90 (define @t326 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t64 @t44)) % 1.74/1.90 (define @t327 () (tptp.c_Relation_Oconverse @t10 @t18 @t1)) % 1.74/1.90 (define @t328 () (tptp.c_lessequals @t157 @t3 @t1)) % 1.74/1.90 (define @t329 () (tptp.c_lessequals @t157 @t35 @t1)) % 1.74/1.90 (define @t330 () (tptp.c_lessequals @t3 @t268 @t1)) % 1.74/1.90 (define @t331 () (tptp.c_lessequals @t3 @t22 @t1)) % 1.74/1.90 (define @t332 () (not @t331)) % 1.74/1.90 (define @t333 () (tptp.c_lessequals @t3 @t31 @t1)) % 1.74/1.90 (define @t334 () (not @t333)) % 1.74/1.90 (define @t335 () (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t1) @t31)) % 1.74/1.90 (define @t336 () (tptp.c_lessequals @t3 @t335 @t1)) % 1.74/1.90 (define @t337 () (@list @t1 @t3 @t22 @t31)) % 1.74/1.90 (define @t338 () (tptp.c_lessequals @t64 @t20 @t44)) % 1.74/1.90 (define @t339 () (tptp.c_lessequals @t64 @t46 @t44)) % 1.74/1.90 (define @t340 () (@list @t64 @t16 @t1 @t20)) % 1.74/1.90 (define @t341 () (tptp.c_COMBK @t64 @t19 @t1)) % 1.74/1.90 (define @t342 () (tptp.c_Product__Type_OSigma @t20 @t341 @t1 @t18)) % 1.74/1.90 (define @t343 () (tptp.c_Product__Type_OSigma @t16 @t341 @t1 @t18)) % 1.74/1.90 (define @t344 () (@list @t16 @t1 @t20 @t64 @t18)) % 1.74/1.90 (define @t345 () (tptp.hAPP @t159 @t3)) % 1.74/1.90 (define @t346 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t44)) % 1.74/1.90 (define @t347 () (tptp.hAPP @t326 @t16)) % 1.74/1.90 (define @t348 () (tptp.hAPP @t70 @t16)) % 1.74/1.90 (define @t349 () (= (tptp.hAPP @t4 @t157) @t157)) % 1.74/1.90 (define @t350 () (tptp.hAPP @t29 @t54)) % 1.74/1.90 (define @t351 () (not @t245)) % 1.74/1.90 (define @t352 () (@list @t1 @t3 @t155 @t35)) % 1.74/1.90 (define @t353 () (tptp.c_lessequals @t3 @t234 @t1)) % 1.74/1.90 (define @t354 () (= @t157 @t165)) % 1.74/1.90 (define @t355 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t44)) % 1.74/1.90 (define @t356 () (tptp.hAPP @t355 @t16)) % 1.74/1.90 (define @t357 () (tptp.hAPP @t68 @t356)) % 1.74/1.90 (define @t358 () (= @t22 @t31)) % 1.74/1.90 (define @t359 () (@list @t3 @t20 @t1 @t16)) % 1.74/1.90 (define @t360 () (not (= @t69 @t50))) % 1.74/1.90 (define @t361 () (not (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t1) @t20) @t2))) % 1.74/1.90 (define @t362 () (@list @t1 @t16 @t20)) % 1.74/1.90 (define @t363 () (@var "V_T" $$unsorted)) % 1.74/1.90 (define @t364 () (tptp.tc_prod @t83 @t18)) % 1.74/1.90 (define @t365 () (not @t339)) % 1.74/1.90 (define @t366 () (not @t336)) % 1.74/1.90 (define @t367 () (tptp.c_lessequals @t335 @t3 @t1)) % 1.74/1.90 (define @t368 () (not @t330)) % 1.74/1.90 (define @t369 () (tptp.hAPP @t355 @t64)) % 1.74/1.90 (define @t370 () (tptp.hAPP @t53 @t64)) % 1.74/1.90 (define @t371 () (= @t212 @t345)) % 1.74/1.90 (define @t372 () (@var "V_R2" $$unsorted)) % 1.74/1.90 (define @t373 () (@var "V_R1" $$unsorted)) % 1.74/1.90 (define @t374 () (= (tptp.hAPP @t174 @t212) @t212)) % 1.74/1.90 (define @t375 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t96 @t10 @t1)) % 1.74/1.90 (define @t376 () (tptp.hBOOL (tptp.hAPP @t46 @t3))) % 1.74/1.90 (define @t377 () (not @t376)) % 1.74/1.90 (define @t378 () (tptp.c_Relation_ORange @t10 @t18 @t1)) % 1.74/1.90 (define @t379 () (tptp.c_Pair @t22 @t31 @t18 @t1)) % 1.74/1.90 (define @t380 () (@list @t22 @t31 @t18 @t1 @t10)) % 1.74/1.90 (define @t381 () (tptp.c_lessequals @t16 @t71 @t44)) % 1.74/1.90 (define @t382 () (tptp.c_lessequals @t57 @t64 @t44)) % 1.74/1.90 (define @t383 () (= (tptp.c_Recdef_Ocut @t137 @t10 @t3 @t1 @t18) (tptp.c_Recdef_Ocut @t135 @t10 @t3 @t1 @t18))) % 1.74/1.90 (define @t384 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t137 @t135 @t10 @t3 @t1 @t18)) % 1.74/1.90 (define @t385 () (tptp.c_Pair @t35 @t3 @t1 @t1)) % 1.74/1.90 (define @t386 () (tptp.hAPP (tptp.c_Set_Oinsert @t385 @t7) @t10)) % 1.74/1.90 (define @t387 () (tptp.c_Wellfounded_Oacyclic @t386 @t1)) % 1.74/1.90 (define @t388 () (not @t387)) % 1.74/1.90 (define @t389 () (@list @t10 @t1 @t35 @t3)) % 1.74/1.90 (define @t390 () (tptp.hAPP @t137 @t3)) % 1.74/1.90 (define @t391 () (tptp.hBOOL (tptp.c_in @t280 @t16 @t1))) % 1.74/1.90 (define @t392 () (not @t391)) % 1.74/1.90 (define @t393 () (tptp.hBOOL (tptp.c_in @t280 @t20 @t1))) % 1.74/1.90 (define @t394 () (not @t393)) % 1.74/1.90 (define @t395 () (tptp.hBOOL (tptp.c_in @t280 @t46 @t1))) % 1.74/1.90 (define @t396 () (@list @t280 @t16 @t1 @t20)) % 1.74/1.90 (define @t397 () (tptp.hBOOL (tptp.c_in @t22 (tptp.hAPP @t107 @t16) @t1))) % 1.74/1.90 (define @t398 () (@var "V_t" $$unsorted)) % 1.74/1.90 (define @t399 () (@list @t280 @t20 @t1 @t16)) % 1.74/1.90 (define @t400 () (tptp.hBOOL (tptp.c_in @t280 @t69 @t1))) % 1.74/1.90 (define @t401 () (tptp.hBOOL (tptp.c_in @t280 @t57 @t1))) % 1.74/1.90 (define @t402 () (not @t401)) % 1.74/1.90 (define @t403 () (not @t395)) % 1.74/1.90 (define @t404 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 1.74/1.90 (define @t405 () (not (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t1) @t20) @t404))) % 1.74/1.90 (define @t406 () (tptp.c_Orderings_Otop__class_Otop @t44)) % 1.74/1.90 (define @t407 () (tptp.c_Pair @t22 @t31 @t1 @t1)) % 1.74/1.90 (define @t408 () (tptp.hBOOL (tptp.c_in @t407 @t13 @t7))) % 1.74/1.90 (define @t409 () (not @t408)) % 1.74/1.90 (define @t410 () (not (tptp.c_Equiv__Relations_Oequiv @t16 @t10 @t1))) % 1.74/1.90 (define @t411 () (tptp.hBOOL (tptp.c_in @t407 @t10 @t7))) % 1.74/1.90 (define @t412 () (not @t411)) % 1.74/1.90 (define @t413 () (tptp.c_Relation_OImage @t10 @t1 @t1)) % 1.74/1.90 (define @t414 () (tptp.hAPP @t413 @t308)) % 1.74/1.90 (define @t415 () (tptp.hAPP @t413 @t52)) % 1.74/1.90 (define @t416 () (@list @t10 @t1 @t22 @t31 @t16)) % 1.74/1.90 (define @t417 () (tptp.c_Relation_OId @t1)) % 1.74/1.90 (define @t418 () (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t10 @t8) @t417)) % 1.74/1.90 (define @t419 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t22 @t31 @t10 @t1)) % 1.74/1.90 (define @t420 () (@list @t22 @t31 @t10 @t1)) % 1.74/1.90 (define @t421 () (not @t235)) % 1.74/1.90 (define @t422 () (not @t229)) % 1.74/1.90 (define @t423 () (@list @t16 @t64 @t1 @t20)) % 1.74/1.90 (define @t424 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.74/1.90 (define @t425 () (@list @t3 @t1)) % 1.74/1.90 (define @t426 () (not (tptp.c_lessequals @t96 @t194 @t44))) % 1.74/1.90 (define @t427 () (tptp.hBOOL (tptp.hAPP @t96 @t3))) % 1.74/1.90 (define @t428 () (not @t427)) % 1.74/1.90 (define @t429 () (tptp.hBOOL (tptp.hAPP @t194 @t3))) % 1.74/1.90 (define @t430 () (@list @t194 @t3 @t96 @t1)) % 1.74/1.90 (define @t431 () (@var "V_p" $$unsorted)) % 1.74/1.90 (define @t432 () (tptp.c_lessequals @t3 @t3 @t1)) % 1.74/1.90 (define @t433 () (tptp.c_Relation_Oantisym @t10 @t1)) % 1.74/1.90 (define @t434 () (not (tptp.c_lessequals @t10 @t9 @t142))) % 1.74/1.90 (define @t435 () (tptp.c_Relation_Osingle__valued @t10 @t1 @t18)) % 1.74/1.90 (define @t436 () (@list @t10 @t1 @t18 @t9)) % 1.74/1.90 (define @t437 () (@var "V_M" $$unsorted)) % 1.74/1.90 (define @t438 () (tptp.c_lessequals @t204 @t205 @t1)) % 1.74/1.90 (define @t439 () (not (= (tptp.hAPP @t201 @t35) @t206))) % 1.74/1.90 (define @t440 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.74/1.90 (define @t441 () (@list @t1 @t3 @t35 @t205 @t204)) % 1.74/1.90 (define @t442 () (tptp.c_Set_Oimage @t137 @t16 @t1 @t18)) % 1.74/1.90 (define @t443 () (@list @t3 @t16 @t18 @t137 @t1)) % 1.74/1.90 (define @t444 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t20 @t18 @t44)) % 1.74/1.90 (define @t445 () (tptp.hAPP @t20 @t22)) % 1.74/1.90 (define @t446 () (@var "V_A_H" $$unsorted)) % 1.74/1.90 (define @t447 () (tptp.hAPP @t200 @t16)) % 1.74/1.90 (define @t448 () (tptp.c_Pair @t3 @t35 @t1 @t1)) % 1.74/1.90 (define @t449 () (tptp.hBOOL (tptp.c_in @t448 @t13 @t7))) % 1.74/1.90 (define @t450 () (@list @t35 @t3 @t1 @t10)) % 1.74/1.90 (define @t451 () (not @t449)) % 1.74/1.90 (define @t452 () (@list @t3 @t35 @t1 @t10)) % 1.74/1.90 (define @t453 () (@list @t18 @t16 @t1 @t20)) % 1.74/1.90 (define @t454 () (not (tptp.hBOOL (tptp.c_in @t3 @t16 @t18)))) % 1.74/1.90 (define @t455 () (@var "V_i" $$unsorted)) % 1.74/1.90 (define @t456 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t18))) % 1.74/1.90 (define @t457 () (not (tptp.hBOOL (tptp.c_in @t196 @t194 @t1)))) % 1.74/1.90 (define @t458 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t194 @t10 @t1)) % 1.74/1.90 (define @t459 () (not (tptp.hBOOL (tptp.c_in @t3 @t194 @t1)))) % 1.74/1.90 (define @t460 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t194 @t74 @t1)) % 1.74/1.90 (define @t461 () (@var "V_k" $$unsorted)) % 1.74/1.90 (define @t462 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t256 @t16 @t1 @t19)) % 1.74/1.90 (define @t463 () (tptp.c_Wellfounded_Owf @t386 @t1)) % 1.74/1.90 (define @t464 () (not @t463)) % 1.74/1.90 (define @t465 () (tptp.hBOOL (tptp.c_in @t31 (tptp.hAPP @t84 @t16) @t1))) % 1.74/1.90 (define @t466 () (not @t465)) % 1.74/1.90 (define @t467 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t16 @t31 @t10 @t18 @t1)) % 1.74/1.90 (define @t468 () (@list @t16 @t31 @t10 @t18 @t1)) % 1.74/1.90 (define @t469 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t16 @t31 @t10 @t18 @t1)) % 1.74/1.90 (define @t470 () (tptp.hBOOL (tptp.c_in @t3 @t77 @t7))) % 1.74/1.90 (define @t471 () (@list @t3 @t74 @t1 @t73)) % 1.74/1.90 (define @t472 () (tptp.hBOOL (tptp.c_in @t431 @t315 @t7))) % 1.74/1.90 (define @t473 () (tptp.c_Orderings_Otop__class_Otop @t19)) % 1.74/1.90 (define @t474 () (tptp.c_COMBK @t280 @t44 @t18)) % 1.74/1.90 (define @t475 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t16 @t18 @t44)) % 1.74/1.90 (define @t476 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t20 @t18 @t44)) % 1.74/1.90 (define @t477 () (= @t406 @t444)) % 1.74/1.90 (define @t478 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__1__1 @t16 @t20 @t18 @t1)) % 1.74/1.90 (define @t479 () (@list @t20 @t16 @t18 @t1)) % 1.74/1.90 (define @t480 () (= @t444 @t406)) % 1.74/1.90 (define @t481 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__2__1 @t16 @t20 @t18 @t1)) % 1.74/1.90 (define @t482 () (tptp.c_Wellfounded_Oacc @t10 @t1)) % 1.74/1.90 (define @t483 () (tptp.hBOOL (tptp.c_in @t22 @t482 @t1))) % 1.74/1.90 (define @t484 () (not @t483)) % 1.74/1.90 (define @t485 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t96 @t10 @t1)) % 1.74/1.90 (define @t486 () (tptp.c_Wellfounded_Oacc @t10 tptp.t_a)) % 1.74/1.90 (define @t487 () (not (tptp.hBOOL (tptp.c_in @t3 @t486 tptp.t_a)))) % 1.74/1.90 (define @t488 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t96 @t10)) % 1.74/1.90 (define @t489 () (@list @t96 @t3 @t10)) % 1.74/1.90 (define @t490 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t96 @t10 @t1)) % 1.74/1.90 (define @t491 () (tptp.c_Wellfounded_Oacc @t74 @t1)) % 1.74/1.90 (define @t492 () (tptp.hBOOL (tptp.c_in @t3 @t491 @t1))) % 1.74/1.90 (define @t493 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t74 @t3 @t1)) % 1.74/1.90 (define @t494 () (@list @t74 @t3 @t1)) % 1.74/1.90 (define @t495 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t96 @t10)) % 1.74/1.90 (define @t496 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t10 @t3 @t1)) % 1.74/1.90 (define @t497 () (tptp.hBOOL (tptp.c_in @t3 @t482 @t1))) % 1.74/1.90 (define @t498 () (@list @t3 @t10 @t1)) % 1.74/1.90 (define @t499 () (tptp.c_Relation_Orel__comp @t74 @t74 @t1 @t1 @t1)) % 1.74/1.90 (define @t500 () (tptp.c_Wellfounded_Owf (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t499 @t8) (tptp.c_Relation_Orel__comp @t73 @t74 @t1 @t1 @t1)) @t8) @t73) @t1)) % 1.74/1.90 (define @t501 () (tptp.c_Relation_ODomain @t10 @t1 @t1)) % 1.74/1.90 (define @t502 () (@list @t74 @t1)) % 1.74/1.90 (define @t503 () (tptp.c_Relation_Otrans @t10 @t1)) % 1.74/1.90 (define @t504 () (not @t503)) % 1.74/1.90 (define @t505 () (tptp.hAPP @t26 @t417)) % 1.74/1.90 (define @t506 () (tptp.c_Relation_Oantisym @t505 @t1)) % 1.74/1.90 (define @t507 () (not @t433)) % 1.74/1.90 (define @t508 () (tptp.c_Relation_Ototal__on @t16 @t418 @t1)) % 1.74/1.90 (define @t509 () (tptp.c_Relation_Ototal__on @t16 @t10 @t1)) % 1.74/1.90 (define @t510 () (@list @t16 @t10 @t1)) % 1.74/1.90 (define @t511 () (not @t509)) % 1.74/1.90 (define @t512 () (tptp.hBOOL (tptp.hAPP @t96 @t35))) % 1.74/1.90 (define @t513 () (@list @t96 @t22 @t35 @t10 @t1)) % 1.74/1.90 (define @t514 () (tptp.hBOOL (tptp.hAPP @t96 @t196))) % 1.74/1.90 (define @t515 () (@var "V_Ra" $$unsorted)) % 1.74/1.90 (define @t516 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t10 @t1)) % 1.74/1.90 (define @t517 () (tptp.c_Pair @t3 @t3 @t1 @t1)) % 1.74/1.90 (define @t518 () (tptp.hBOOL (tptp.c_in @t517 @t10 @t7))) % 1.74/1.90 (define @t519 () (not @t518)) % 1.74/1.90 (define @t520 () (@list @t3 @t1 @t10)) % 1.74/1.90 (define @t521 () (tptp.c_Pair @t3 @t155 @t1 @t1)) % 1.74/1.90 (define @t522 () (tptp.hBOOL (tptp.c_in @t521 @t315 @t7))) % 1.74/1.90 (define @t523 () (not @t522)) % 1.74/1.90 (define @t524 () (tptp.hBOOL (tptp.c_in @t521 @t10 @t7))) % 1.74/1.90 (define @t525 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t10 @t3 @t155 @t1)) % 1.74/1.90 (define @t526 () (tptp.c_Transitive__Closure_Otrancl @t74 @t1)) % 1.74/1.90 (define @t527 () (tptp.hBOOL (tptp.c_in @t448 @t526 @t7))) % 1.74/1.90 (define @t528 () (not @t527)) % 1.74/1.90 (define @t529 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t74 @t3 @t35 @t1)) % 1.74/1.90 (define @t530 () (@list @t3 @t74 @t35 @t1)) % 1.74/1.90 (define @t531 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 1.74/1.90 (define @t532 () (tptp.c_Transitive__Closure_Otrancl @t10 tptp.t_a)) % 1.74/1.90 (define @t533 () (@var "V_a2" $$unsorted)) % 1.74/1.90 (define @t534 () (@var "V_a1" $$unsorted)) % 1.74/1.90 (define @t535 () (tptp.c_Pair @t534 @t533 tptp.t_a tptp.t_a)) % 1.74/1.90 (define @t536 () (not (tptp.hBOOL (tptp.c_in @t535 @t532 @t531)))) % 1.74/1.90 (define @t537 () (tptp.hBOOL (tptp.c_in @t535 @t10 @t531))) % 1.74/1.90 (define @t538 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t534 @t533 @t10)) % 1.74/1.90 (define @t539 () (@list @t534 @t533 @t10)) % 1.74/1.90 (define @t540 () (tptp.hBOOL (tptp.c_in @t407 @t315 @t7))) % 1.74/1.90 (define @t541 () (not @t540)) % 1.74/1.90 (define @t542 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t22 @t31 @t10 @t1)) % 1.74/1.90 (define @t543 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t74 @t3 @t35 @t1)) % 1.74/1.90 (define @t544 () (@list @t74 @t3 @t35 @t1)) % 1.74/1.90 (define @t545 () (not (tptp.hBOOL (tptp.c_in @t31 @t16 @t1)))) % 1.74/1.90 (define @t546 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t280 @t1 @t18) (tptp.c_Relation_Orel__comp @t10 @t9 @t1 @t83 @t18) @t30)))) % 1.74/1.90 (define @t547 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t22 @t280 @t10 @t9 @t1 @t18 @t83)) % 1.74/1.90 (define @t548 () (@list @t22 @t280 @t10 @t9 @t1 @t18 @t83)) % 1.74/1.90 (define @t549 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t431 @t1)) % 1.74/1.90 (define @t550 () (not (tptp.hBOOL (tptp.c_in @t280 @t168 @t7)))) % 1.74/1.90 (define @t551 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t16 @t280 @t1)) % 1.74/1.90 (define @t552 () (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t315 @t8) @t417)) % 1.74/1.90 (define @t553 () (tptp.c_Relation_Orel__comp @t13 @t10 @t1 @t1 @t1)) % 1.74/1.90 (define @t554 () (@list @t1 @t10)) % 1.74/1.90 (define @t555 () (tptp.c_Relation_Orel__comp @t291 @t10 @t1 @t1 @t1)) % 1.74/1.90 (define @t556 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t10 @t1)) % 1.74/1.90 (define @t557 () (tptp.c_Nitpick_Orefl_H @t10 @t1)) % 1.74/1.90 (define @t558 () (not (tptp.hBOOL (tptp.c_in @t35 @t194 @t1)))) % 1.74/1.90 (define @t559 () (tptp.c_split @t137 @t1 @t18 @t83)) % 1.74/1.90 (define @t560 () (tptp.hAPP @t324 @t31)) % 1.74/1.90 (define @t561 () (tptp.hBOOL (tptp.c_in @t22 @t28 @t1))) % 1.74/1.90 (define @t562 () (not @t561)) % 1.74/1.90 (define @t563 () (@list @t22 @t10 @t1 @t18)) % 1.74/1.90 (define @t564 () (@list @t96 @t3 @t35 @t10)) % 1.74/1.90 (define @t565 () (@var "V_ya" $$unsorted)) % 1.74/1.90 (define @t566 () (tptp.hBOOL (tptp.c_in @t565 @t486 tptp.t_a))) % 1.74/1.90 (define @t567 () (@list @t96 @t3 @t565 @t10)) % 1.74/1.90 (define @t568 () (tptp.hBOOL (tptp.c_in @t22 @t378 @t1))) % 1.74/1.90 (define @t569 () (tptp.hBOOL (tptp.c_in @t379 @t10 @t100))) % 1.74/1.90 (define @t570 () (tptp.hBOOL (tptp.c_in @t31 (tptp.hAPP @t84 (tptp.hAPP @t23 @t88)) @t1))) % 1.74/1.90 (define @t571 () (tptp.hBOOL (tptp.c_in @t448 @t10 @t7))) % 1.74/1.90 (define @t572 () (not @t571)) % 1.74/1.90 (define @t573 () (= (tptp.hAPP @t413 @t124) (tptp.hAPP @t413 (tptp.hAPP @t36 @t50)))) % 1.74/1.90 (define @t574 () (@list @t10 @t1 @t3 @t35 @t16)) % 1.74/1.90 (define @t575 () (= @t415 @t414)) % 1.74/1.90 (define @t576 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__3 @t10 @t1)) % 1.74/1.90 (define @t577 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__1 @t10 @t1)) % 1.74/1.90 (define @t578 () (tptp.c_ATP__Linkup_Osko__Relation__XtransI__1__2 @t10 @t1)) % 1.74/1.90 (define @t579 () (tptp.hBOOL (tptp.c_in @t35 @t16 @t1))) % 1.74/1.90 (define @t580 () (not @t579)) % 1.74/1.90 (define @t581 () (not @t573)) % 1.74/1.90 (define @t582 () (tptp.hBOOL (tptp.c_in @t448 @t79 @t7))) % 1.74/1.90 (define @t583 () (not @t582)) % 1.74/1.90 (define @t584 () (@list @t3 @t35 @t1 @t74)) % 1.74/1.90 (define @t585 () (tptp.c_Pair @t31 @t280 @t1 @t1)) % 1.74/1.90 (define @t586 () (not (tptp.hBOOL (tptp.c_in @t585 @t10 @t7)))) % 1.74/1.90 (define @t587 () (tptp.c_Pair @t22 @t280 @t1 @t1)) % 1.74/1.90 (define @t588 () (tptp.hBOOL (tptp.c_in @t587 @t315 @t7))) % 1.74/1.90 (define @t589 () (@list @t22 @t280 @t1 @t10 @t31)) % 1.74/1.90 (define @t590 () (not (tptp.hBOOL (tptp.c_in @t585 @t13 @t7)))) % 1.74/1.90 (define @t591 () (not (tptp.hBOOL (tptp.c_in @t431 @t10 @t7)))) % 1.74/1.90 (define @t592 () (@list @t431 @t10 @t1)) % 1.74/1.90 (define @t593 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t16 @t10 @t1)) % 1.74/1.90 (define @t594 () (not @t593)) % 1.74/1.90 (define @t595 () (tptp.c_Relation_Oinv__image @t10 @t137 @t1 @t18)) % 1.74/1.90 (define @t596 () (@list @t10 @t137 @t1 @t18)) % 1.74/1.90 (define @t597 () (tptp.c_Relation_Otrans @t291 @t1)) % 1.74/1.90 (define @t598 () (tptp.c_Relation_Ototal__on @t16 @t291 @t1)) % 1.74/1.90 (define @t599 () (tptp.c_Pair @t31 @t22 @t1 @t1)) % 1.74/1.90 (define @t600 () (not (tptp.hBOOL (tptp.c_in @t599 @t13 @t7)))) % 1.74/1.90 (define @t601 () (tptp.hBOOL (tptp.c_in @t31 @t482 @t1))) % 1.74/1.90 (define @t602 () (@list @t31 @t10 @t1 @t22)) % 1.74/1.90 (define @t603 () (tptp.hBOOL (tptp.c_in @t517 @t79 @t7))) % 1.74/1.90 (define @t604 () (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Relation_ODomain @t74 @t1 @t1) @t1))) % 1.74/1.90 (define @t605 () (tptp.c_Relation_Oirrefl @t10 @t1)) % 1.74/1.90 (define @t606 () (tptp.hBOOL (tptp.c_in @t385 @t13 @t7))) % 1.74/1.90 (define @t607 () (tptp.c_Transitive__Closure_Ortrancl @t291 @t1)) % 1.74/1.90 (define @t608 () (tptp.hBOOL (tptp.c_in @t448 @t607 @t7))) % 1.74/1.90 (define @t609 () (tptp.c_Pair @t35 @t155 @t1 @t1)) % 1.74/1.90 (define @t610 () (@list @t22 @t31 @t1 @t10)) % 1.74/1.90 (define @t611 () (@list @t3 @t155 @t1 @t10 @t35)) % 1.74/1.90 (define @t612 () (tptp.c_Transitive__Closure_Otrancl @t291 @t1)) % 1.74/1.90 (define @t613 () (tptp.hBOOL (tptp.c_in @t448 @t612 @t7))) % 1.74/1.90 (define @t614 () (tptp.c_Relation_Oconverse @t315 @t1 @t1)) % 1.74/1.90 (define @t615 () (tptp.hBOOL (tptp.c_in @t448 @t614 @t7))) % 1.74/1.90 (define @t616 () (tptp.c_Pair @t22 @t31 @t18 @t83)) % 1.74/1.90 (define @t617 () (tptp.hBOOL (tptp.c_in @t390 @t208 @t1))) % 1.74/1.90 (define @t618 () (@var "T_aa" $$unsorted)) % 1.74/1.90 (define @t619 () (not (tptp.hBOOL (tptp.c_in @t3 @t50 @t1)))) % 1.74/1.90 (define @t620 () (@list @t96 @t3 @t1)) % 1.74/1.90 (define @t621 () (not (tptp.hBOOL (tptp.c_in @t31 @t444 @t1)))) % 1.74/1.90 (define @t622 () (not (tptp.hBOOL (tptp.c_in @t22 @t16 @t18)))) % 1.74/1.90 (define @t623 () (tptp.hBOOL (tptp.c_in @t31 @t445 @t1))) % 1.74/1.90 (define @t624 () (@list @t22 @t1)) % 1.74/1.90 (define @t625 () (not (tptp.hBOOL (tptp.hAPP @t21 @t31)))) % 1.74/1.90 (define @t626 () (tptp.hBOOL (tptp.hAPP @t445 @t31))) % 1.74/1.90 (define @t627 () (tptp.c_Relation_Osym @t291 @t1)) % 1.74/1.90 (define @t628 () (tptp.c_Set_Oimage @t137 @t88 @t18 @t1)) % 1.74/1.90 (define @t629 () (tptp.c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2 @t96 @t1)) % 1.74/1.90 (define @t630 () (@list @t96 @t1 @t3)) % 1.74/1.90 (define @t631 () (@list @t74 @t18 @t1)) % 1.74/1.90 (define @t632 () (tptp.c_Relation_Orefl__on @t16 @t291 @t1)) % 1.74/1.90 (define @t633 () (tptp.c_Wellfounded_Owf @t499 @t1)) % 1.74/1.90 (define @t634 () (tptp.c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2 @t16 @t10 @t1)) % 1.74/1.90 (define @t635 () (tptp.c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1 @t16 @t10 @t1)) % 1.74/1.90 (define @t636 () (= @t291 @t10)) % 1.74/1.90 (define @t637 () (tptp.c_Relation_Orel__comp @t10 @t13 @t1 @t1 @t1)) % 1.74/1.90 (define @t638 () (@list @t18)) % 1.74/1.90 (define @t639 () (@var "T_d" $$unsorted)) % 1.74/1.90 (define @t640 () (= @t555 @t10)) % 1.74/1.90 (define @t641 () (tptp.c_Relation_Oconverse @t10 @t1 @t18)) % 1.74/1.90 (define @t642 () (@list @t10 @t1 @t18)) % 1.74/1.90 (define @t643 () (not @t435)) % 1.74/1.90 (define @t644 () (tptp.c_Relation_Oconverse @t641 @t18 @t1)) % 1.74/1.90 (define @t645 () (forall @t642 (= @t644 @t10))) % 1.74/1.90 (define @t646 () (tptp.c_Relation_Oantisym @t291 @t1)) % 1.74/1.90 (define @t647 () (@var "V_r1" $$unsorted)) % 1.74/1.90 (define @t648 () (@var "V_r2" $$unsorted)) % 1.74/1.90 (define @t649 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t647 @t648 @t137 @t1 @t18 @t83))) % 1.74/1.90 (define @t650 () (tptp.c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1 @t96 @t1)) % 1.74/1.90 (define @t651 () (tptp.c_Relation_ODomain @t327 @t1 @t18)) % 1.74/1.90 (define @t652 () (@list @t10 @t18 @t1)) % 1.74/1.90 (define @t653 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2 @t10 @t1)) % 1.74/1.90 (define @t654 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1 @t10 @t1)) % 1.74/1.90 (define @t655 () (tptp.c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3 @t10 @t1)) % 1.74/1.90 (define @t656 () (@var "V_z1" $$unsorted)) % 1.74/1.90 (define @t657 () (@var "V_y1" $$unsorted)) % 1.74/1.90 (define @t658 () (tptp.tc_prod @t18 @t18)) % 1.74/1.90 (define @t659 () (@var "V_z2" $$unsorted)) % 1.74/1.90 (define @t660 () (@var "V_y2" $$unsorted)) % 1.74/1.90 (define @t661 () (tptp.c_Pair @t3 @t35 @t1 @t18)) % 1.74/1.90 (define @t662 () (= @t35 @t155)) % 1.74/1.90 (define @t663 () (tptp.c_Pair @t3 @t22 @t1 @t1)) % 1.74/1.90 (define @t664 () (not (tptp.hBOOL (tptp.c_in @t663 @t10 @t7)))) % 1.74/1.90 (define @t665 () (tptp.hBOOL (tptp.c_in @t661 @t74 @t30))) % 1.74/1.90 (define @t666 () (tptp.c_FunDef_Oin__rel @t74 @t3 @t35 @t1 @t18)) % 1.74/1.90 (define @t667 () (tptp.c_Pair @t31 @t22 @t18 @t1)) % 1.74/1.90 (define @t668 () (tptp.hBOOL (tptp.c_in @t667 @t10 @t100))) % 1.74/1.90 (define @t669 () (tptp.hBOOL (tptp.c_in @t32 @t327 @t30))) % 1.74/1.90 (define @t670 () (not (tptp.hBOOL (tptp.c_in @t32 @t10 @t30)))) % 1.74/1.90 (define @t671 () (@list @t31 @t22 @t18 @t1 @t10)) % 1.74/1.90 (define @t672 () (not (tptp.hBOOL (tptp.c_in @t585 @t315 @t7)))) % 1.74/1.90 (define @t673 () (tptp.hBOOL (tptp.c_in @t587 @t13 @t7))) % 1.74/1.91 (define @t674 () (tptp.c_Pair @t22 @t22 @t1 @t1)) % 1.74/1.91 (define @t675 () (@list @t22 @t1 @t10)) % 1.74/1.91 (define @t676 () (tptp.hBOOL (tptp.c_in @t385 @t10 @t7))) % 1.74/1.91 (define @t677 () (not @t676)) % 1.74/1.91 (define @t678 () (tptp.hBOOL (tptp.c_in @t599 @t10 @t7))) % 1.74/1.91 (define @t679 () (not (tptp.hBOOL (tptp.c_in @t609 @t10 @t7)))) % 1.74/1.91 (define @t680 () (tptp.hAPP @t137 @t35)) % 1.74/1.91 (define @t681 () (not (tptp.hBOOL (tptp.c_in @t448 @t168 @t7)))) % 1.74/1.91 (define @t682 () (tptp.hBOOL (tptp.c_in @t674 @t10 @t7))) % 1.74/1.91 (define @t683 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t390 @t680 @t18 @t18) @t10 @t658))) % 1.74/1.91 (define @t684 () (tptp.hBOOL (tptp.c_in @t448 (tptp.c_Relation_Oinv__image @t10 @t137 @t18 @t1) @t7))) % 1.74/1.91 (define @t685 () (= @t262 @t406)) % 1.74/1.91 (define @t686 () (tptp.hBOOL (tptp.c_in @t3 @t406 @t1))) % 1.74/1.91 (define @t687 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 1.74/1.91 (define @t688 () (= @t3 @t155)) % 1.74/1.91 (define @t689 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t690 () (@var "V_L" $$unsorted)) % 1.74/1.91 (define @t691 () (tptp.c_Pair @t3 @t35 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t692 () (tptp.hBOOL (tptp.c_in @t691 @t690 @t689))) % 1.74/1.91 (define @t693 () (not @t692)) % 1.74/1.91 (define @t694 () (tptp.hBOOL (tptp.c_in @t691 (tptp.c_Arrow__Order__Mirabelle_Omktop @t690 @t155) @t689))) % 1.74/1.91 (define @t695 () (@list @t3 @t35 @t690 @t155)) % 1.74/1.91 (define @t696 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t690 @t3)) % 1.74/1.91 (define @t697 () (tptp.c_Pair @t3 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t698 () (@list @t3 @t690)) % 1.74/1.91 (define @t699 () (@list @t3 @t35 @t690)) % 1.74/1.91 (define @t700 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t690 @t3)) % 1.74/1.91 (define @t701 () (tptp.c_Pair @t196 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t702 () (@list @t196 @t3 @t690)) % 1.74/1.91 (define @t703 () (tptp.hBOOL (tptp.c_in @t691 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t690 @t155) @t689))) % 1.74/1.91 (define @t704 () (= @t196 @t3)) % 1.74/1.91 (define @t705 () (tptp.hBOOL (tptp.c_in @t31 @t445 @t18))) % 1.74/1.91 (define @t706 () (tptp.hBOOL (tptp.c_in @t32 (tptp.c_Product__Type_OSigma @t16 @t20 @t1 @t18) @t30))) % 1.74/1.91 (define @t707 () (@list @t35 @t16 @t1 @t3 @t10)) % 1.74/1.91 (define @t708 () (@list @t3 @t16 @t1 @t35 @t10)) % 1.74/1.91 (define @t709 () (not @t706)) % 1.74/1.91 (define @t710 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t10 @t1)) % 1.74/1.91 (define @t711 () (not @t605)) % 1.74/1.91 (define @t712 () (@var "V_b_H" $$unsorted)) % 1.74/1.91 (define @t713 () (@var "V_a_H" $$unsorted)) % 1.74/1.91 (define @t714 () (not (= @t32 (tptp.c_Pair @t713 @t712 @t1 @t18)))) % 1.74/1.91 (define @t715 () (@list @t22 @t31 @t1 @t18 @t713 @t712)) % 1.74/1.91 (define @t716 () (forall @t520 (or @t519 @t711))) % 1.74/1.91 (define @t717 () (tptp.hBOOL (tptp.hAPP @t73 @t3))) % 1.74/1.91 (define @t718 () (tptp.hBOOL (tptp.c_in @t3 @t73 @t1))) % 1.74/1.91 (define @t719 () (tptp.hAPP tptp.v_P @t3)) % 1.74/1.91 (define @t720 () (@list @t3)) % 1.74/1.91 (define @t721 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_bool))) % 1.74/1.91 (define @t722 () (tptp.hAPP tptp.v_P tptp.v_i)) % 1.74/1.91 (define @t723 () (tptp.c_Pair tptp.v_a tptp.v_b tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t724 () (tptp.hBOOL (tptp.c_in @t723 @t722 @t689))) % 1.74/1.91 (define @t725 () (tptp.hBOOL (tptp.c_in @t723 (tptp.v_F tptp.v_P) @t689))) % 1.74/1.91 (define @t726 () (tptp.hAPP @t196 (tptp.hAPP tptp.v_x @t196))) % 1.74/1.91 (define @t727 () (not (tptp.c_Relation_Otrans @t726 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (define @t728 () (not (tptp.c_Relation_Oirrefl @t726 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (define @t729 () (not (tptp.c_Relation_Ototal__on @t721 @t726 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (define @t730 () (tptp.v_F @t196)) % 1.74/1.91 (define @t731 () (@list @t196)) % 1.74/1.91 (define @t732 () (tptp.hAPP @t96 (tptp.v_Pa @t96))) % 1.74/1.91 (define @t733 () (tptp.c_Pair @t22 @t31 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t734 () (@var "T_1" $$unsorted)) % 1.74/1.91 (define @t735 () (@var "T_2" $$unsorted)) % 1.74/1.91 (define @t736 () (tptp.tc_fun @t735 @t734)) % 1.74/1.91 (define @t737 () (@list @t735 @t734)) % 1.74/1.91 (define @t738 () (not (tptp.class_Lattices_Olattice @t734))) % 1.74/1.91 (define @t739 () (@var "V_Y" $$unsorted)) % 1.74/1.91 (define @t740 () (@var "V_X" $$unsorted)) % 1.74/1.91 (define @t741 () (tptp.v_Pa tptp.v_P)) % 1.74/1.91 (define @t742 () (@list @t741)) % 1.74/1.91 (define @t743 () (tptp.hAPP tptp.v_P @t741)) % 1.74/1.91 (define @t744 () (tptp.c_Relation_Otrans @t743 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t745 () (not @t744)) % 1.74/1.91 (define @t746 () (tptp.c_Relation_Oirrefl @t743 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t747 () (not @t746)) % 1.74/1.91 (define @t748 () (tptp.c_Relation_Ototal__on @t721 @t743 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t749 () (not @t748)) % 1.74/1.91 (define @t750 () (= tptp.v_a tptp.v_b)) % 1.74/1.91 (define @t751 () (not @t724)) % 1.74/1.91 (define @t752 () (or @t725 @t751 @t750 @t749 @t747 @t745)) % 1.74/1.91 (define @t753 () (tptp.c_Pair tptp.v_a tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t754 () (tptp.c_in @t753 @t722 @t689)) % 1.74/1.91 (define @t755 () (tptp.hBOOL @t754)) % 1.74/1.91 (define @t756 () (tptp.c_Relation_Oirrefl @t722 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (define @t757 () (not @t756)) % 1.74/1.91 (define @t758 () (not @t755)) % 1.74/1.91 (define @t759 () (or @t758 @t757)) % 1.74/1.91 (define @t760 () (not @t759)) % 1.74/1.91 (assume @p1 (forall @t6 (or @t5 (= (tptp.hAPP @t4 @t2) @t2)))) % 1.74/1.91 (assume @p2 (forall @t15 (or @t14 @t11))) % 1.74/1.91 (assume @p3 (forall (@list @t16 @t22 @t18 @t20 @t1 @t17) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 (tptp.c_COMBB @t23 @t20 @t19 @t19 @t1) @t1 @t19) (tptp.hAPP @t23 @t21)) (not (tptp.hBOOL (tptp.c_in @t17 @t16 @t1)))))) % 1.74/1.91 (assume @p4 (forall @t15 (or (tptp.c_Relation_Osym @t27 @t1) (not (tptp.c_Relation_Osym @t9 @t1)) @t25))) % 1.74/1.91 (assume @p5 (forall @t34 (= (tptp.c_Relation_ODomain (tptp.hAPP @t33 @t10) @t1 @t18) (tptp.hAPP @t29 @t28)))) % 1.74/1.91 (assume @p6 (forall (@list @t16 @t3 @t35 @t1) (or @t40 @t39 (not @t38)))) % 1.74/1.91 (assume @p7 (forall @t43 (= (tptp.hAPP @t41 @t42) @t42))) % 1.74/1.91 (assume @p8 (forall (@list @t22 @t1 @t16 @t20) (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t44) @t48) @t47))) % 1.74/1.91 (assume @p9 (forall @t51 (not (= @t49 @t50)))) % 1.74/1.91 (assume @p10 (forall @t56 (= @t55 (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t54 @t44) @t20)))) % 1.74/1.91 (assume @p11 (forall @t56 (= @t55 (tptp.hAPP @t58 @t52)))) % 1.74/1.91 (assume @p12 (forall @t62 (or @t61 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t49 @t1) (tptp.hAPP @t60 @t59))))) % 1.74/1.91 (assume @p13 (forall @t6 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t2 @t3 @t1)))) % 1.74/1.91 (assume @p14 (forall @t63 (tptp.c_lessequals @t50 @t16 @t44))) % 1.74/1.91 (assume @p15 (forall (@list @t22 @t1 @t64 @t20 @t18) (= @t67 @t65))) % 1.74/1.91 (assume @p16 (forall @t56 (= (tptp.hAPP @t68 @t48) (tptp.hAPP @t29 @t69)))) % 1.74/1.91 (assume @p17 (forall @t72 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t44) @t64) (tptp.hAPP @t29 @t71)))) % 1.74/1.91 (assume @p18 (forall @t82 (tptp.c_lessequals @t81 @t77 @t8))) % 1.74/1.91 (assume @p19 (forall @t87 (tptp.c_lessequals @t86 @t85 @t44))) % 1.74/1.91 (assume @p20 (forall @t93 (or (= @t92 @t91) @t89))) % 1.74/1.91 (assume @p21 (forall @t99 (or @t98 (not (tptp.hBOOL (tptp.hAPP @t96 @t97))) @t95))) % 1.74/1.91 (assume @p22 (forall @t104 (tptp.c_lessequals (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t103 @t44) @t102) (tptp.c_Relation_ORange (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t16 @t101) @t20) @t18 @t1) @t44))) % 1.74/1.91 (assume @p23 (forall (@list @t16 @t31 @t1 @t20) (or (tptp.c_lessequals @t16 @t108 @t44) @t106))) % 1.74/1.91 (assume @p24 (forall @t111 (or @t105 @t110))) % 1.74/1.91 (assume @p25 (forall @t116 (or (= @t115 @t57) @t113))) % 1.74/1.91 (assume @p26 (forall @t123 (or @t122 (not @t118) @t117))) % 1.74/1.91 (assume @p27 (forall (@list @t16 @t20 @t18 @t64 @t1 @t3) (or @t118 (not @t122) @t117))) % 1.74/1.91 (assume @p28 (forall @t131 (or @t130 @t128 @t126))) % 1.74/1.91 (assume @p29 (forall (@list @t16 @t1 @t3 @t20) (or @t125 @t128 @t132))) % 1.74/1.91 (assume @p30 (forall @t134 (or @t133 (= @t57 @t16)))) % 1.74/1.91 (assume @p31 (forall @t141 (or @t140 (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t139) @t135) tptp.v_x) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t138 @t18) @t136))))) % 1.74/1.91 (assume @p32 (forall @t145 (tptp.c_lessequals (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t144 @t44) @t143) (tptp.c_Relation_ODomain (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t16 @t142) @t20) @t1 @t18) @t44))) % 1.74/1.91 (assume @p33 (forall @t150 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 @t44) @t16) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t149 @t44) @t147)))) % 1.74/1.91 (assume @p34 (forall @t154 (= @t153 (tptp.hAPP @t152 @t151)))) % 1.74/1.91 (assume @p35 (forall @t163 (or @t162 (= @t161 @t158)))) % 1.74/1.91 (assume @p36 (forall @t166 (or @t162 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t160 @t1) @t3) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t165 @t1) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t155 @t1) @t3)))))) % 1.74/1.91 (assume @p37 (forall @t169 (tptp.c_lessequals @t168 @t167 @t8))) % 1.74/1.91 (assume @p38 (forall @t173 (or @t172 @t171))) % 1.74/1.91 (assume @p39 (forall @t169 (= (tptp.hAPP @t68 @t16) @t16))) % 1.74/1.91 (assume @p40 (forall @t6 (or @t175 (= (tptp.hAPP @t174 @t3) @t3)))) % 1.74/1.91 (assume @p41 (forall (@list @t176 @t180 @t1 @t18 @t83 @t10 @t9) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t176 @t180 @t1 @t18 @t83) @t183 @t182) (not (tptp.c_lessequals @t180 @t9 @t179)) @t177))) % 1.74/1.91 (assume @p42 (forall (@list @t74 @t18 @t1 @t73 @t16) (= (tptp.hAPP (tptp.c_Relation_OImage (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t74 @t101) @t73) @t18 @t1) @t16) (tptp.hAPP @t186 (tptp.hAPP (tptp.c_Relation_OImage @t73 @t18 @t1) @t16))))) % 1.74/1.91 (assume @p43 (forall @t189 (= (tptp.hAPP @t184 @t188) (tptp.hAPP @t186 @t187)))) % 1.74/1.91 (assume @p44 (forall (@list @t96 @t193 @t74 @t1) (or (tptp.hBOOL (tptp.hAPP @t96 @t193)) (not (tptp.hBOOL (tptp.hAPP @t96 @t192))) @t191))) % 1.74/1.91 (assume @p45 (forall (@list @t3 @t1 @t35 @t16) (= (tptp.hAPP @t41 @t37) (tptp.hAPP @t36 @t42)))) % 1.74/1.91 (assume @p46 (forall (@list @t96 @t194 @t18 @t1 @t83 @t74) (= (tptp.hAPP (tptp.c_COMBB @t96 @t194 @t18 @t1 @t83) @t74) (tptp.hAPP @t96 (tptp.hAPP @t194 @t74))))) % 1.74/1.91 (assume @p47 (forall (@list @t96 @t1 @t18 @t194) (= (tptp.hAPP (tptp.c_COMBK @t96 @t1 @t18) @t194) @t96))) % 1.74/1.91 (assume @p48 (forall @t134 (= (tptp.hAPP @t58 @t20) @t57))) % 1.74/1.91 (assume @p49 (forall @t195 (or (= @t91 @t92) @t89))) % 1.74/1.91 (assume @p50 (forall (@list @t196 @t1 @t3) (= (tptp.hAPP @t197 @t124) (tptp.hAPP @t41 (tptp.hAPP @t197 @t50))))) % 1.74/1.91 (assume @p51 (forall (@list @t10 @t1 @t18 @t64 @t20 @t16) (or (tptp.c_lessequals (tptp.hAPP @t200 @t64) @t20 @t19) @t199))) % 1.74/1.91 (assume @p52 (forall (@list @t1 @t196 @t35 @t3) (or @t203 (not (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t196 @t1) @t35) @t202)) (= @t196 @t35)))) % 1.74/1.91 (assume @p53 (forall (@list @t1 @t3 @t205 @t204) (or @t203 (not (= @t202 @t206)) (= @t205 @t204)))) % 1.74/1.91 (assume @p54 (forall (@list @t137 @t16 @t18 @t1 @t20) (tptp.c_lessequals (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t208 @t44) @t207) (tptp.c_Set_Oimage @t137 (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t16 @t19) @t20) @t18 @t1) @t44))) % 1.74/1.91 (assume @p55 (forall @t154 (= @t210 (tptp.hAPP @t70 @t209)))) % 1.74/1.91 (assume @p56 (forall @t154 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t69 @t44) @t64) @t210))) % 1.74/1.91 (assume @p57 (forall @t163 (or @t175 @t213))) % 1.74/1.91 (assume @p58 (forall @t163 (or @t175 @t215))) % 1.74/1.91 (assume @p59 (forall @t163 (or @t216 @t215))) % 1.74/1.91 (assume @p60 (forall @t163 (or @t216 @t213))) % 1.74/1.91 (assume @p61 (forall @t134 (or (= @t46 @t16) @t106))) % 1.74/1.91 (assume @p62 (forall @t134 (or (= @t46 @t20) @t217))) % 1.74/1.91 (assume @p63 (forall @t222 (or @t221 @t220 @t219))) % 1.74/1.91 (assume @p64 (forall @t222 (or @t221 (not @t220) @t218))) % 1.74/1.91 (assume @p65 (forall @t222 (or @t221 (= @t157 @t35) @t224))) % 1.74/1.91 (assume @p66 (forall @t154 (or @t229 @t228 @t226))) % 1.74/1.91 (assume @p67 (forall (@list @t20 @t16 @t1) (tptp.c_lessequals @t20 @t69 @t44))) % 1.74/1.91 (assume @p68 (forall @t134 (tptp.c_lessequals @t16 @t69 @t44))) % 1.74/1.91 (assume @p69 (forall @t236 (or @t175 @t235 @t233 @t231))) % 1.74/1.91 (assume @p70 (forall @t222 (or @t175 @t237))) % 1.74/1.91 (assume @p71 (forall @t239 (or @t175 @t238))) % 1.74/1.91 (assume @p72 (forall @t166 (or @t175 (tptp.c_lessequals @t160 @t3 @t1) (not @t240) @t224))) % 1.74/1.91 (assume @p73 (forall @t163 (or @t175 @t245 @t244 @t242))) % 1.74/1.91 (assume @p74 (forall @t239 (or @t216 @t238))) % 1.74/1.91 (assume @p75 (forall @t222 (or @t216 @t237))) % 1.74/1.91 (assume @p76 (forall @t134 (= @t46 @t149))) % 1.74/1.91 (assume @p77 (forall @t6 (or @t5 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t1) @t3) @t2)))) % 1.74/1.91 (assume @p78 (forall @t246 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t44) @t20) @t50))) % 1.74/1.91 (assume @p79 (forall @t169 (= (tptp.hAPP @t45 @t50) @t50))) % 1.74/1.91 (assume @p80 (forall (@list @t20 @t22 @t1) (tptp.c_lessequals @t20 @t48 @t44))) % 1.74/1.91 (assume @p81 (forall @t248 (tptp.c_lessequals (tptp.c_Set_Oimage @t137 @t247 @t18 @t1) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t208 @t44) @t207) @t44))) % 1.74/1.91 (assume @p82 (forall @t189 (tptp.c_lessequals @t250 @t249 @t44))) % 1.74/1.91 (assume @p83 (forall @t154 (or (not @t252) @t251))) % 1.74/1.91 (assume @p84 (forall @t154 (or @t252 @t253))) % 1.74/1.91 (assume @p85 (forall @t258 (= (tptp.c_Product__Type_OSigma (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t256 @t44) @t254) @t64 @t1 @t18) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t257 @t142) @t255)))) % 1.74/1.91 (assume @p86 (forall @t169 (= (tptp.hAPP @t53 @t50) @t16))) % 1.74/1.91 (assume @p87 (forall @t169 (= (tptp.hAPP @t53 @t16) @t50))) % 1.74/1.91 (assume @p88 (forall (@list @t10 @t9 @t1 @t18 @t83 @t16 @t64 @t20) (or (tptp.c_lessequals @t183 (tptp.c_Product__Type_OSigma @t16 (tptp.c_COMBK @t64 @t259 @t1) @t1 @t83) @t182) (not (tptp.c_lessequals @t9 (tptp.c_Product__Type_OSigma @t20 (tptp.c_COMBK @t64 @t259 @t18) @t18 @t83) @t179)) @t199))) % 1.74/1.91 (assume @p89 (forall @t82 (or @t260 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t74 @t73 @t1 @t1 @t1) @t74 @t8)) (not (tptp.c_Wellfounded_Owf @t73 @t1)) @t191))) % 1.74/1.91 (assume @p90 (forall @t264 (or @t263 @t40 (not @t261)))) % 1.74/1.91 (assume @p91 (forall @t266 (or @t261 @t265))) % 1.74/1.91 (assume @p92 (forall @t266 (or @t261 @t267))) % 1.74/1.91 (assume @p93 (forall (@list @t16 @t1 @t20 @t10 @t9) (or (tptp.c_Relation_Orefl__on @t69 @t27 @t1) (not (tptp.c_Relation_Orefl__on @t20 @t9 @t1)) @t171))) % 1.74/1.91 (assume @p94 (forall @t163 (or @t216 @t270))) % 1.74/1.91 (assume @p95 (forall @t163 (or @t216 @t271))) % 1.74/1.91 (assume @p96 (forall @t163 (or @t221 @t271))) % 1.74/1.91 (assume @p97 (forall @t163 (or @t221 @t270))) % 1.74/1.91 (assume @p98 (forall @t154 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t46 @t44) @t64) @t273))) % 1.74/1.91 (assume @p99 (forall @t154 (= @t273 (tptp.hAPP @t148 @t151)))) % 1.74/1.91 (assume @p100 (forall @t6 (or @t5 (= (tptp.hAPP @t174 @t2) @t3)))) % 1.74/1.91 (assume @p101 (forall @t6 (or @t5 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t1) @t3) @t3)))) % 1.74/1.91 (assume @p102 (forall @t246 (= (tptp.hAPP @t274 @t20) @t20))) % 1.74/1.91 (assume @p103 (forall @t169 (= (tptp.hAPP @t68 @t50) @t16))) % 1.74/1.91 (assume @p104 (forall @t63 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t50 @t44) @t16) @t50))) % 1.74/1.91 (assume @p105 (forall (@list @t22 @t1 @t16 @t31 @t18 @t20) (= (tptp.c_Product__Type_OSigma @t49 @t275 @t1 @t18) (tptp.hAPP @t33 (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t16 @t275 @t1 @t18) @t142) (tptp.c_Product__Type_OSigma @t49 @t198 @t1 @t18)))))) % 1.74/1.91 (assume @p106 (forall (@list @t64 @t1 @t16 @t20) (= (tptp.hAPP @t146 @t57) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t147 @t44) (tptp.hAPP @t146 @t20))))) % 1.74/1.91 (assume @p107 (forall @t154 (= (tptp.hAPP @t278 @t64) @t277))) % 1.74/1.91 (assume @p108 (forall (@list @t280 @t1 @t18 @t16) (or (= (tptp.c_Set_Oimage @t282 @t16 @t18 @t1) (tptp.hAPP @t281 @t50)) @t279))) % 1.74/1.91 (assume @p109 (forall @t285 (or (tptp.c_lessequals @t57 (tptp.hAPP @t284 @t283) @t44) (not (tptp.c_lessequals @t283 @t20 @t44)) @t226))) % 1.74/1.91 (assume @p110 (forall @t163 (or @t216 (tptp.c_lessequals @t287 @t286 @t1)))) % 1.74/1.91 (assume @p111 (forall (@list @t16 @t1 @t64 @t20) (= @t277 (tptp.hAPP @t276 @t20)))) % 1.74/1.91 (assume @p112 (forall @t222 (or @t216 (= (tptp.hAPP @t174 @t157) @t3)))) % 1.74/1.91 (assume @p113 (forall (@list @t96 @t289 @t10 @t1) (or @t290 (not (tptp.hBOOL (tptp.hAPP @t96 @t288))) @t95))) % 1.74/1.91 (assume @p114 (forall @t294 (or @t293 (not @t292)))) % 1.74/1.91 (assume @p115 (forall @t294 (or @t292 @t295))) % 1.74/1.91 (assume @p116 (forall (@list @t16 @t20 @t1) (or @t296 @t217 @t106))) % 1.74/1.91 (assume @p117 (forall @t222 (or @t298 @t297 @t224 @t219))) % 1.74/1.91 (assume @p118 (forall @t222 (or @t298 @t297 @t219 @t224))) % 1.74/1.91 (assume @p119 (forall @t222 (or @t216 (= (tptp.hAPP @t4 @t212) @t3)))) % 1.74/1.91 (assume @p120 (forall @t134 (= (tptp.hAPP @t299 @t46) @t16))) % 1.74/1.91 (assume @p121 (forall @t222 (or @t175 (= @t212 @t3) @t224))) % 1.74/1.91 (assume @p122 (forall @t222 (or @t175 (not @t300) @t218))) % 1.74/1.91 (assume @p123 (forall @t222 (or @t175 @t300 @t219))) % 1.74/1.91 (assume @p124 (forall @t134 (or @t301 @t106))) % 1.74/1.91 (assume @p125 (forall @t134 (or (= @t69 @t16) @t217))) % 1.74/1.91 (assume @p126 (forall @t134 (or (not @t301) @t105))) % 1.74/1.91 (assume @p127 (forall @t93 (= @t303 @t302))) % 1.74/1.91 (assume @p128 (forall @t195 (= @t302 @t303))) % 1.74/1.91 (assume @p129 (forall (@list @t20 @t1 @t256 @t16 @t18) (= (tptp.hAPP @t70 @t304) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t256 (tptp.c_COMBB @t70 @t16 @t44 @t44 @t18) @t18 @t44)))) % 1.74/1.91 (assume @p130 (forall @t311 (or @t310 @t307 @t305))) % 1.74/1.91 (assume @p131 (forall @t311 (or @t310 @t312 @t305))) % 1.74/1.91 (assume @p132 (forall @t311 (or @t310 @t307 @t313))) % 1.74/1.91 (assume @p133 (forall @t311 (or @t310 @t312 @t313))) % 1.74/1.91 (assume @p134 (forall @t316 (or (tptp.c_lessequals @t315 @t167 @t8) @t314))) % 1.74/1.91 (assume @p135 (forall @t15 (or @t14 (not (tptp.c_lessequals @t10 @t12 @t8))))) % 1.74/1.91 (assume @p136 (forall @t169 (or @t317 (not (tptp.c_lessequals @t16 @t50 @t44))))) % 1.74/1.91 (assume @p137 (forall @t318 (tptp.c_lessequals @t50 @t50 @t44))) % 1.74/1.91 (assume @p138 (forall @t62 (not (= @t50 @t49)))) % 1.74/1.91 (assume @p139 (forall @t72 (or (= @t320 (tptp.hAPP @t29 @t272)) (not @t319)))) % 1.74/1.91 (assume @p140 (forall @t56 (or (= @t323 @t47) @t322))) % 1.74/1.91 (assume @p141 (forall (@list @t137 @t22 @t18 @t20 @t1) (= (tptp.c_Set_Oimage @t137 (tptp.hAPP @t23 @t20) @t18 @t1) (tptp.hAPP (tptp.c_Set_Oinsert @t324 @t1) @t207)))) % 1.74/1.91 (assume @p142 (forall @t285 (or (tptp.c_lessequals @t69 (tptp.hAPP @t326 @t283) @t44) @t325 @t226))) % 1.74/1.91 (assume @p143 (forall (@list @t10 @t18 @t1 @t9) (= (tptp.c_Relation_Oconverse (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t101) @t9) @t18 @t1) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t327 @t142) (tptp.c_Relation_Oconverse @t9 @t18 @t1))))) % 1.74/1.91 (assume @p144 (forall @t222 (or @t216 @t328))) % 1.74/1.91 (assume @p145 (forall @t222 (or @t216 @t329))) % 1.74/1.91 (assume @p146 (forall @t163 (or @t221 @t330 @t242 @t219))) % 1.74/1.91 (assume @p147 (forall @t337 (or @t221 @t336 @t334 @t332))) % 1.74/1.91 (assume @p148 (forall @t222 (or @t221 @t329))) % 1.74/1.91 (assume @p149 (forall @t222 (or @t221 @t328))) % 1.74/1.91 (assume @p150 (forall @t134 (tptp.c_lessequals @t46 @t16 @t44))) % 1.74/1.91 (assume @p151 (forall @t134 (tptp.c_lessequals @t46 @t20 @t44))) % 1.74/1.91 (assume @p152 (forall @t340 (or @t339 (not @t338) @t253))) % 1.74/1.91 (assume @p153 (forall @t344 (= (tptp.c_Product__Type_OSigma @t69 @t341 @t1 @t18) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t343 @t142) @t342)))) % 1.74/1.91 (assume @p154 (forall (@list @t64 @t22 @t1 @t20 @t18) (= @t65 @t67))) % 1.74/1.91 (assume @p155 (forall @t166 (or @t162 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t268 @t1) @t3) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t345 @t1) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t155 @t1) @t3)))))) % 1.74/1.91 (assume @p156 (forall @t163 (or @t162 (= @t287 @t286)))) % 1.74/1.91 (assume @p157 (forall @t154 (= (tptp.hAPP @t68 @t272) (tptp.hAPP @t346 @t209)))) % 1.74/1.91 (assume @p158 (forall @t150 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t272 @t44) @t16) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t348 @t44) @t347)))) % 1.74/1.91 (assume @p159 (forall @t43 (tptp.hBOOL (tptp.hAPP @t42 @t3)))) % 1.74/1.91 (assume @p160 (forall @t116 (or @t109 @t106 @t113))) % 1.74/1.91 (assume @p161 (forall (@list @t137 @t135 @t16 @t83 @t18 @t1) (= (tptp.c_Set_Oimage @t137 (tptp.c_Set_Oimage @t135 @t16 @t83 @t18) @t18 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t137 @t135 @t18 @t1 @t83) @t16 @t83 @t1)))) % 1.74/1.91 (assume @p162 (forall @t344 (= (tptp.c_Product__Type_OSigma @t57 @t341 @t1 @t18) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t343 @t142) @t342)))) % 1.74/1.91 (assume @p163 (forall @t222 (or @t216 @t349))) % 1.74/1.91 (assume @p164 (forall @t222 (or @t221 @t349))) % 1.74/1.91 (assume @p165 (forall @t134 (= (tptp.hAPP @t45 @t46) @t46))) % 1.74/1.91 (assume @p166 (forall @t104 (= (tptp.c_Relation_ORange (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t101) @t20) @t18 @t1) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t103 @t44) @t102)))) % 1.74/1.91 (assume @p167 (forall @t51 (or (= @t350 @t16) @t322))) % 1.74/1.91 (assume @p168 (forall @t6 (or @t221 (= (tptp.hAPP @t4 @t3) @t3)))) % 1.74/1.91 (assume @p169 (forall @t169 (= (tptp.hAPP @t45 @t16) @t16))) % 1.74/1.91 (assume @p170 (forall @t166 (or @t175 @t243 @t351))) % 1.74/1.91 (assume @p171 (forall @t352 (or @t175 @t241 @t351))) % 1.74/1.91 (assume @p172 (forall @t337 (or @t175 @t353 @t334))) % 1.74/1.91 (assume @p173 (forall @t222 (or @t221 @t354))) % 1.74/1.91 (assume @p174 (forall @t222 (or @t216 @t354))) % 1.74/1.91 (assume @p175 (forall @t294 (or @t293 @t95))) % 1.74/1.91 (assume @p176 (forall @t134 (or (= @t357 @t20) @t106))) % 1.74/1.91 (assume @p177 (forall @t163 (or @t216 (tptp.c_lessequals @t158 @t161 @t1)))) % 1.74/1.91 (assume @p178 (forall (@list @t73 @t1 @t74) (or (= @t78 @t79) (not (tptp.c_lessequals @t73 @t79 @t8)) (not (tptp.c_lessequals @t74 @t73 @t8))))) % 1.74/1.91 (assume @p179 (forall @t134 (tptp.c_lessequals @t57 @t16 @t44))) % 1.74/1.91 (assume @p180 (forall @t51 (= @t350 @t49))) % 1.74/1.91 (assume @p181 (forall (@list @t22 @t1 @t31) (or (not (= @t52 @t308)) @t358))) % 1.74/1.91 (assume @p182 (forall @t154 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t152 @t272) @t44) @t147) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.hAPP @t346 @t71) @t44) @t347)))) % 1.74/1.91 (assume @p183 (forall @t359 (or @t112 @t110))) % 1.74/1.91 (assume @p184 (forall @t258 (= (tptp.c_Product__Type_OSigma (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t256 @t44) @t254) @t64 @t1 @t18) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t257 @t142) @t255)))) % 1.74/1.91 (assume @p185 (forall (@list @t35 @t1 @t16 @t3) (or @t38 @t267))) % 1.74/1.91 (assume @p186 (forall @t131 (or @t130 @t106 @t127))) % 1.74/1.91 (assume @p187 (forall @t111 (or @t105 @t127 @t132))) % 1.74/1.91 (assume @p188 (forall @t111 (or @t105 @t132 @t127))) % 1.74/1.91 (assume @p189 (forall @t56 (or (= @t323 @t46) @t321))) % 1.74/1.91 (assume @p190 (forall @t72 (or (= @t320 @t272) @t319))) % 1.74/1.91 (assume @p191 (forall @t134 (or @t360 (= @t20 @t50)))) % 1.74/1.91 (assume @p192 (forall @t134 (or @t360 @t317))) % 1.74/1.91 (assume @p193 (forall @t362 (or @t5 @t361 (= @t16 @t2)))) % 1.74/1.91 (assume @p194 (forall @t362 (or @t5 @t361 (= @t20 @t2)))) % 1.74/1.91 (assume @p195 (forall (@list @t20 @t1 @t16) (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t356 @t44) @t16) @t348))) % 1.74/1.91 (assume @p196 (forall @t134 (= @t357 @t69))) % 1.74/1.91 (assume @p197 (forall (@list @t73 @t1 @t83 @t363 @t74 @t18) (= (tptp.c_Relation_Orel__comp (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t182) @t363) @t74 @t1 @t83 @t18) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t73 @t74 @t1 @t83 @t18) @t142) (tptp.c_Relation_Orel__comp @t363 @t74 @t1 @t83 @t18))))) % 1.74/1.91 (assume @p198 (forall (@list @t74 @t73 @t83 @t18 @t363 @t1) (= (tptp.c_Relation_Orel__comp @t74 (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 (tptp.tc_fun @t364 tptp.tc_bool)) @t363) @t1 @t83 @t18) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t74 @t73 @t1 @t83 @t18) @t142) (tptp.c_Relation_Orel__comp @t74 @t363 @t1 @t83 @t18))))) % 1.74/1.91 (assume @p199 (forall (@list @t18 @t16 @t20) (or (not (tptp.class_HOL_Ominus @t18)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t16 @t139) @t20) tptp.v_x) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t16 tptp.v_x) @t18) (tptp.hAPP @t20 tptp.v_x)))))) % 1.74/1.91 (assume @p200 (forall (@list @t64 @t20 @t1 @t16) (or @t338 @t365))) % 1.74/1.91 (assume @p201 (forall @t340 (or @t251 @t365))) % 1.74/1.91 (assume @p202 (forall @t337 (or @t221 @t331 @t366))) % 1.74/1.91 (assume @p203 (forall (@list @t1 @t3 @t31 @t22) (or @t221 @t333 @t366))) % 1.74/1.91 (assume @p204 (forall @t236 (or @t221 @t367 @t231))) % 1.74/1.91 (assume @p205 (forall @t236 (or @t221 @t367 @t233))) % 1.74/1.91 (assume @p206 (forall @t163 (or @t221 @t218 @t368))) % 1.74/1.91 (assume @p207 (forall @t352 (or @t221 @t241 @t368))) % 1.74/1.91 (assume @p208 (forall @t154 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t69 @t44) @t64) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t370 @t44) @t369)))) % 1.74/1.91 (assume @p209 (forall @t134 (= @t69 @t348))) % 1.74/1.91 (assume @p210 (forall @t222 (or @t175 @t371))) % 1.74/1.91 (assume @p211 (forall @t222 (or @t216 @t371))) % 1.74/1.91 (assume @p212 (forall @t145 (= (tptp.c_Relation_ODomain (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t16 @t142) @t20) @t1 @t18) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t144 @t44) @t143)))) % 1.74/1.91 (assume @p213 (forall @t51 (= @t49 (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 @t44) @t16)))) % 1.74/1.91 (assume @p214 (forall (@list @t372 @t1 @t373) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t372 @t1) (tptp.c_Wellfounded_Oacc @t373 @t1) @t44) (not (tptp.c_lessequals @t373 @t372 @t8))))) % 1.74/1.91 (assume @p215 (forall @t134 (= (tptp.hAPP @t68 @t69) @t69))) % 1.74/1.91 (assume @p216 (forall @t222 (or @t175 @t374))) % 1.74/1.91 (assume @p217 (forall @t222 (or @t216 @t374))) % 1.74/1.91 (assume @p218 (forall @t134 (= (tptp.hAPP @t45 @t356) @t50))) % 1.74/1.91 (assume @p219 (forall (@list @t1 @t22 @t31) (or @t61 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t309 @t1) @t234)))) % 1.74/1.91 (assume @p220 (forall @t99 (or @t98 (not (tptp.hBOOL (tptp.hAPP @t96 @t375))) @t95))) % 1.74/1.91 (assume @p221 (forall @t82 (= (tptp.c_Transitive__Closure_Ortrancl @t81 @t1) @t77))) % 1.74/1.91 (assume @p222 (forall @t116 (or (= @t115 (tptp.hAPP @t41 @t57)) @t112))) % 1.74/1.91 (assume @p223 (forall @t131 (or @t130 @t106 @t126))) % 1.74/1.91 (assume @p224 (forall @t264 (or @t263 @t377))) % 1.74/1.91 (assume @p225 (forall @t131 (or @t40 @t377))) % 1.74/1.91 (assume @p226 (forall @t380 (= (tptp.c_Relation_ORange (tptp.hAPP (tptp.c_Set_Oinsert @t379 @t100) @t10) @t18 @t1) (tptp.hAPP @t107 @t378)))) % 1.74/1.91 (assume @p227 (forall @t43 (or (= (tptp.hAPP @t114 @t124) @t16) @t127))) % 1.74/1.91 (assume @p228 (forall @t154 (or @t382 (not @t381)))) % 1.74/1.91 (assume @p229 (forall (@list @t16 @t20 @t1 @t64) (or @t381 (not @t382)))) % 1.74/1.91 (assume @p230 (forall (@list @t137 @t135 @t10 @t3 @t1 @t18) (or (not (= (tptp.hAPP @t137 @t384) (tptp.hAPP @t135 @t384))) @t383))) % 1.74/1.91 (assume @p231 (forall @t389 (or @t293 @t388))) % 1.74/1.91 (assume @p232 (forall (@list @t18 @t137 @t3 @t135 @t1) (or (not (tptp.class_HOL_Oord @t18)) (tptp.c_lessequals @t390 (tptp.hAPP @t135 @t3) @t18) (not (tptp.c_lessequals @t137 @t135 (tptp.tc_fun @t1 @t18)))))) % 1.74/1.91 (assume @p233 (forall @t396 (or @t395 @t394 @t392))) % 1.74/1.91 (assume @p234 (forall (@list @t22 @t31 @t1 @t16) (or @t397 @t322))) % 1.74/1.91 (assume @p235 (forall (@list @t22 @t31 @t1 @t20) (or (tptp.hBOOL (tptp.c_in @t22 @t108 @t1)) (not (tptp.hBOOL (tptp.c_in @t22 @t20 @t1)))))) % 1.74/1.91 (assume @p236 (forall (@list @t398 @t20 @t1 @t16) (or (tptp.hBOOL (tptp.c_in @t398 @t20 @t1)) (not (tptp.hBOOL (tptp.c_in @t398 @t16 @t1))) @t106))) % 1.74/1.91 (assume @p237 (forall @t359 (or @t112 @t106 @t128))) % 1.74/1.91 (assume @p238 (forall @t399 (or @t393 @t392 @t106))) % 1.74/1.91 (assume @p239 (forall @t359 (or @t112 @t128 @t106))) % 1.74/1.91 (assume @p240 (forall @t396 (or @t400 @t392))) % 1.74/1.91 (assume @p241 (forall @t396 (or @t400 @t394))) % 1.74/1.91 (assume @p242 (forall (@list @t22 @t16 @t1 @t31) (or @t321 @t358 (not @t397)))) % 1.74/1.91 (assume @p243 (forall @t399 (or @t393 @t391 (not @t400)))) % 1.74/1.91 (assume @p244 (forall @t399 (or @t394 @t402))) % 1.74/1.91 (assume @p245 (forall @t396 (or @t391 @t402))) % 1.74/1.91 (assume @p246 (forall @t43 (tptp.hBOOL (tptp.c_in @t3 @t42 @t1)))) % 1.74/1.91 (assume @p247 (forall (@list @t22 @t1 @t20) (tptp.hBOOL (tptp.c_in @t22 @t48 @t1)))) % 1.74/1.91 (assume @p248 (forall (@list @t3 @t1 @t20) (tptp.hBOOL (tptp.c_in @t3 @t129 @t1)))) % 1.74/1.91 (assume @p249 (forall @t399 (or @t393 @t403))) % 1.74/1.91 (assume @p250 (forall @t396 (or @t391 @t403))) % 1.74/1.91 (assume @p251 (forall @t396 (or @t401 @t393 @t392))) % 1.74/1.91 (assume @p252 (forall @t116 (or (not (= @t42 @t129)) @t112 @t127 @t296))) % 1.74/1.91 (assume @p253 (forall @t51 (or (= @t49 @t16) @t322))) % 1.74/1.91 (assume @p254 (forall @t6 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t3 @t404 @t1)))) % 1.74/1.91 (assume @p255 (forall @t6 (or @t5 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t404 @t1) @t3) @t3)))) % 1.74/1.91 (assume @p256 (forall @t6 (or @t5 (= (tptp.hAPP @t4 @t404) @t3)))) % 1.74/1.91 (assume @p257 (forall @t362 (or @t5 @t405 (= @t16 @t404)))) % 1.74/1.91 (assume @p258 (forall @t362 (or @t5 @t405 (= @t20 @t404)))) % 1.74/1.91 (assume @p259 (forall @t6 (or @t5 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t404 @t1) @t3) @t404)))) % 1.74/1.91 (assume @p260 (forall @t6 (or @t5 (= (tptp.hAPP @t174 @t404) @t404)))) % 1.74/1.91 (assume @p261 (forall @t169 (tptp.c_lessequals @t16 @t406 @t44))) % 1.74/1.91 (assume @p262 (forall @t169 (= (tptp.hAPP @t45 @t406) @t16))) % 1.74/1.91 (assume @p263 (forall @t246 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t406 @t44) @t20) @t20))) % 1.74/1.91 (assume @p264 (forall @t169 (= (tptp.hAPP @t68 @t406) @t406))) % 1.74/1.91 (assume @p265 (forall @t246 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t406 @t44) @t20) @t406))) % 1.74/1.91 (assume @p266 (forall (@list @t22 @t16 @t1 @t31 @t10) (or @t321 @t358 @t314 @t409))) % 1.74/1.91 (assume @p267 (forall @t416 (or (tptp.c_lessequals @t415 @t414 @t44) @t412 @t410))) % 1.74/1.91 (assume @p268 (forall @t294 (tptp.c_Relation_Oirrefl @t418 @t1))) % 1.74/1.91 (assume @p269 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t419 @t31 @t1 @t1) @t10 @t7)) @t358 @t409))) % 1.74/1.91 (assume @p270 (forall @t337 (or @t175 @t353 @t332))) % 1.74/1.91 (assume @p271 (forall (@list @t1 @t31 @t3 @t22) (or @t175 @t232 @t421))) % 1.74/1.91 (assume @p272 (forall (@list @t1 @t22 @t3 @t31) (or @t175 @t230 @t421))) % 1.74/1.91 (assume @p273 (forall @t423 (or @t225 @t422))) % 1.74/1.91 (assume @p274 (forall (@list @t20 @t64 @t1 @t16) (or @t227 @t422))) % 1.74/1.91 (assume @p275 (forall @t141 (or @t140 (= (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t139) @t135) tptp.v_x) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t18) @t136))))) % 1.74/1.91 (assume @p276 (forall (@list @t1 @t155 @t3 @t35) (or @t298 @t240 (not (tptp.c_lessequals @t155 @t35 @t1)) @t224))) % 1.74/1.91 (assume @p277 (forall @t352 (or @t424 @t241 @t244 @t219))) % 1.74/1.91 (assume @p278 (forall @t425 (tptp.c_lessequals @t3 @t3 @t44))) % 1.74/1.91 (assume @p279 (forall @t169 (tptp.c_lessequals @t16 @t16 @t44))) % 1.74/1.91 (assume @p280 (forall @t423 (or @t225 @t228 @t106))) % 1.74/1.91 (assume @p281 (forall @t430 (or @t429 @t428 @t426))) % 1.74/1.91 (assume @p282 (forall (@list @t431 @t1 @t10) (or (tptp.c_Wellfounded_Owf @t431 @t1) (not (tptp.c_lessequals @t431 @t10 @t8)) @t95))) % 1.74/1.91 (assume @p283 (forall @t6 (or @t298 @t432))) % 1.74/1.91 (assume @p284 (forall @t6 (or @t424 @t432))) % 1.74/1.91 (assume @p285 (forall @t15 (or @t433 (not (tptp.c_Relation_Oantisym @t9 @t1)) @t11))) % 1.74/1.91 (assume @p286 (forall @t430 (or @t429 @t426 @t428))) % 1.74/1.91 (assume @p287 (forall @t15 (or @t293 @t11 (not (tptp.c_Wellfounded_Oacyclic @t9 @t1))))) % 1.74/1.91 (assume @p288 (forall @t436 (or @t435 (not (tptp.c_Relation_Osingle__valued @t9 @t1 @t18)) @t434))) % 1.74/1.91 (assume @p289 (forall @t285 (or (tptp.c_lessequals @t46 (tptp.hAPP @t146 @t283) @t44) @t325 @t226))) % 1.74/1.91 (assume @p290 (forall @t154 (= (tptp.hAPP @t53 @t71) (tptp.hAPP @t278 @t370)))) % 1.74/1.91 (assume @p291 (forall @t154 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t46 @t44) @t64) (tptp.hAPP @t45 @t369)))) % 1.74/1.91 (assume @p292 (forall (@list @t16 @t18 @t20 @t437 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t188 @t437 @t18 @t44) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t437 @t18 @t44) @t44) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t20 @t437 @t18 @t44))))) % 1.74/1.91 (assume @p293 (forall @t436 (or (tptp.c_lessequals @t28 (tptp.c_Relation_ODomain @t9 @t1 @t18) @t44) @t434))) % 1.74/1.91 (assume @p294 (forall (@list @t16 @t3 @t1) (or (= @t16 @t124) @t317 (not (tptp.c_lessequals @t16 @t124 @t44))))) % 1.74/1.91 (assume @p295 (forall @t154 (= (tptp.hAPP @t53 @t272) (tptp.hAPP @t299 @t370)))) % 1.74/1.91 (assume @p296 (forall @t266 (or @t376 @t265 @t267))) % 1.74/1.91 (assume @p297 (forall @t150 (or (= (tptp.hAPP @t355 (tptp.hAPP @t284 @t16)) @t16) @t228 @t106))) % 1.74/1.91 (assume @p298 (forall @t441 (or @t440 @t439 @t438 @t224))) % 1.74/1.91 (assume @p299 (forall @t441 (or @t440 @t439 @t223 (not @t438)))) % 1.74/1.91 (assume @p300 (forall (@list @t137 @t16 @t1 @t18 @t20) (or (tptp.c_lessequals @t442 (tptp.c_Set_Oimage @t137 @t20 @t1 @t18) @t19) @t106))) % 1.74/1.91 (assume @p301 (forall @t443 (or (not (tptp.c_lessequals @t3 @t16 @t19)) (tptp.c_lessequals (tptp.c_Set_Oimage @t137 @t3 @t18 @t1) @t208 @t44)))) % 1.74/1.91 (assume @p302 (forall (@list @t22 @t1 @t64 @t283) (or (tptp.c_lessequals (tptp.hAPP @t29 @t64) (tptp.hAPP @t29 @t283) @t44) (not (tptp.c_lessequals @t64 @t283 @t44))))) % 1.74/1.91 (assume @p303 (forall @t318 (= (tptp.hAPP @t274 @t50) @t50))) % 1.74/1.91 (assume @p304 (forall @t248 (= (tptp.c_Set_Oimage @t137 @t188 @t18 @t1) (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t208 @t44) @t207)))) % 1.74/1.91 (assume @p305 (forall (@list @t22 @t18 @t16 @t20 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.hAPP @t23 @t16) @t20 @t18 @t44) (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t445 @t44) @t444)))) % 1.74/1.91 (assume @p306 (forall (@list @t176 @t1 @t18 @t446 @t10 @t16) (or (tptp.c_lessequals (tptp.hAPP (tptp.c_Relation_OImage @t176 @t1 @t18) @t446) @t447 @t19) (not (tptp.c_lessequals @t446 @t16 @t44)) @t177))) % 1.74/1.91 (assume @p307 (forall @t173 (or @t172 @t410))) % 1.74/1.91 (assume @p308 (forall @t239 (or (not (tptp.class_Orderings_Olinorder @t1)) @t223 @t218))) % 1.74/1.91 (assume @p309 (forall (@list @t280 @t18 @t1 @t16 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t280 @t18 @t1) @t16 @t1 @t18) (tptp.hAPP (tptp.c_Set_Oinsert @t280 @t18) @t88)) @t128))) % 1.74/1.91 (assume @p310 (forall @t450 (or @t387 @t449 @t295))) % 1.74/1.91 (assume @p311 (forall @t452 (or @t451 @t388))) % 1.74/1.91 (assume @p312 (forall @t453 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 (tptp.c_COMBB @t53 @t20 @t44 @t44 @t18) @t18 @t44) @t406))) % 1.74/1.91 (assume @p313 (forall @t453 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t90 @t18 @t44) @t406))) % 1.74/1.91 (assume @p314 (forall (@list @t3 @t1 @t196) (or (not (= (tptp.hAPP @t41 @t196) @t50)) (tptp.hBOOL (tptp.c_in @t3 @t196 @t1))))) % 1.74/1.91 (assume @p315 (forall (@list @t31 @t22 @t1) (or (= @t31 @t22) (not (tptp.hBOOL (tptp.c_in @t31 @t52 @t1)))))) % 1.74/1.91 (assume @p316 (forall @t359 (or @t113 @t128 @t133))) % 1.74/1.91 (assume @p317 (forall @t425 (tptp.hBOOL (tptp.c_in @t3 @t124 @t1)))) % 1.74/1.91 (assume @p318 (forall (@list @t137 @t3 @t18 @t16 @t1) (or (= (tptp.hAPP (tptp.c_Set_Oinsert @t390 @t18) @t442) @t442) @t128))) % 1.74/1.91 (assume @p319 (forall (@list @t137 @t3 @t20 @t1 @t16 @t18) (or (tptp.hBOOL (tptp.c_in @t390 @t20 @t1)) @t454 (not (tptp.c_lessequals @t208 @t20 @t44))))) % 1.74/1.91 (assume @p320 (forall (@list @t1 @t3 @t16) (or @t61 (tptp.c_lessequals @t3 @t59 @t1) @t128))) % 1.74/1.91 (assume @p321 (forall (@list @t18 @t16 @t437 @t1 @t455) (or @t456 (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t437 @t1 @t18) (tptp.hAPP @t437 @t455) @t18) (not (tptp.hBOOL (tptp.c_in @t455 @t16 @t1)))))) % 1.74/1.91 (assume @p322 (forall (@list @t194 @t10 @t1 @t196) (or (tptp.hBOOL (tptp.c_in @t458 @t194 @t1)) @t457 @t95))) % 1.74/1.91 (assume @p323 (forall (@list @t194 @t74 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t460 @t194 @t1)) @t459 @t191))) % 1.74/1.91 (assume @p324 (forall (@list @t280 @t1 @t18) (= (tptp.c_Set_Oimage @t282 @t88 @t18 @t1) @t50))) % 1.74/1.91 (assume @p325 (forall (@list @t20 @t16 @t455 @t1 @t256 @t18) (or (tptp.c_lessequals @t20 (tptp.hAPP @t16 @t455) @t44) (not (tptp.hBOOL (tptp.c_in @t455 @t256 @t18))) (not (tptp.c_lessequals @t20 @t304 @t44))))) % 1.74/1.91 (assume @p326 (forall (@list @t16 @t20 @t1 @t18 @t22) (or (tptp.c_lessequals @t21 @t445 @t19) @t322))) % 1.74/1.91 (assume @p327 (forall (@list @t16 @t461 @t18 @t256 @t1) (or (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.hAPP @t16 @t461) @t19) @t462) @t462) (not (tptp.hBOOL (tptp.c_in @t461 @t256 @t1)))))) % 1.74/1.91 (assume @p328 (forall @t169 (= (tptp.hAPP @t53 @t406) @t50))) % 1.74/1.91 (assume @p329 (forall @t123 (or (not (= @t121 @t120)) @t117 @t296))) % 1.74/1.91 (assume @p330 (forall @t389 (or @t94 @t464))) % 1.74/1.91 (assume @p331 (forall @t468 (or (tptp.hBOOL (tptp.c_in @t467 @t16 @t18)) @t466))) % 1.74/1.91 (assume @p332 (forall @t468 (or (tptp.hBOOL (tptp.c_in @t469 @t16 @t18)) @t466))) % 1.74/1.91 (assume @p333 (forall (@list @t1 @t22) (or @t61 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t52 @t1) @t22)))) % 1.74/1.91 (assume @p334 (forall @t471 (or @t470 (not (tptp.hBOOL (tptp.c_in @t3 @t79 @t7)))))) % 1.74/1.91 (assume @p335 (forall @t471 (or @t470 (not (tptp.hBOOL (tptp.c_in @t3 @t78 @t7)))))) % 1.74/1.91 (assume @p336 (forall (@list @t18 @t16 @t437 @t1) (or @t456 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 (tptp.c_COMBK @t437 @t18 @t1) @t1 @t18) @t437) @t317))) % 1.74/1.91 (assume @p337 (forall (@list @t431 @t9 @t1 @t10) (or (tptp.hBOOL (tptp.c_in @t431 (tptp.c_Transitive__Closure_Otrancl @t9 @t1) @t7)) @t11 (not @t472)))) % 1.74/1.91 (assume @p338 (forall (@list @t137 @t135 @t83 @t1 @t18) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t137 @t135 @t83 @t1 @t18) @t473 @t18 @t1) (tptp.c_Set_Oimage @t137 (tptp.c_Set_Oimage @t135 @t473 @t18 @t83) @t83 @t1)))) % 1.74/1.91 (assume @p339 (forall (@list @t16 @t280 @t1 @t18) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 @t474 @t18 @t44) @t280) @t279))) % 1.74/1.91 (assume @p340 (forall @t453 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t475 @t44) @t20) @t20))) % 1.74/1.91 (assume @p341 (forall @t145 (= (tptp.hAPP @t45 @t476) @t16))) % 1.74/1.91 (assume @p342 (forall (@list @t137 @t16 @t83 @t18 @t20 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.c_Set_Oimage @t137 @t16 @t83 @t18) @t20 @t18 @t44) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 (tptp.c_COMBB @t20 @t137 @t18 @t44 @t83) @t83 @t44)))) % 1.74/1.91 (assume @p343 (forall (@list @t16 @t20 @t137 @t83 @t1 @t18) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t16 (tptp.c_COMBB @t20 @t137 @t83 @t44 @t18) @t18 @t44) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (tptp.c_Set_Oimage @t137 @t16 @t18 @t83) @t20 @t83 @t44)))) % 1.74/1.91 (assume @p344 (forall @t479 (or (not (= (tptp.hAPP @t20 @t478) @t406)) @t477))) % 1.74/1.91 (assume @p345 (forall @t479 (or (not (= (tptp.hAPP @t20 @t481) @t406)) @t480))) % 1.74/1.91 (assume @p346 (forall @t99 (or @t98 (not (tptp.hBOOL (tptp.hAPP @t96 @t485))) @t484))) % 1.74/1.91 (assume @p347 (forall @t489 (or @t427 (not (tptp.hBOOL (tptp.hAPP @t96 @t488))) @t487))) % 1.74/1.91 (assume @p348 (forall @t99 (or @t98 (tptp.hBOOL (tptp.c_in @t490 @t482 @t1)) @t484))) % 1.74/1.91 (assume @p349 (forall @t494 (or (not (tptp.hBOOL (tptp.c_in @t493 @t491 @t1))) @t492))) % 1.74/1.91 (assume @p350 (forall @t99 (or @t98 (not (tptp.hBOOL (tptp.hAPP @t96 @t490))) @t484))) % 1.74/1.91 (assume @p351 (forall @t489 (or @t427 (not (tptp.hBOOL (tptp.hAPP @t96 @t495))) @t487))) % 1.74/1.91 (assume @p352 (forall @t498 (or @t497 (not (tptp.hBOOL (tptp.c_in @t496 @t482 @t1)))))) % 1.74/1.91 (assume @p353 (forall @t99 (or @t98 (tptp.hBOOL (tptp.c_in @t485 @t482 @t1)) @t484))) % 1.74/1.91 (assume @p354 (forall @t82 (or @t500 (not @t260)))) % 1.74/1.91 (assume @p355 (forall @t82 (or @t260 (not @t500)))) % 1.74/1.91 (assume @p356 (forall @t15 (or (not (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t501 @t44) (tptp.c_Relation_ORange @t9 @t1 @t1)) @t50)) (not (tptp.c_Wellfounded_Owf @t9 @t1)) @t95 (tptp.c_Wellfounded_Owf @t27 @t1)))) % 1.74/1.91 (assume @p357 (forall @t294 (= @t315 (tptp.hAPP @t26 (tptp.c_Relation_Orel__comp @t315 @t10 @t1 @t1 @t1))))) % 1.74/1.91 (assume @p358 (forall @t502 (= (tptp.hAPP @t80 @t417) @t79))) % 1.74/1.91 (assume @p359 (forall @t502 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.hAPP @t75 @t417) @t1) @t79))) % 1.74/1.91 (assume @p360 (forall @t294 (= (tptp.c_Transitive__Closure_Ortrancl @t418 @t1) @t13))) % 1.74/1.91 (assume @p361 (forall @t294 (or (tptp.c_Relation_Oantisym @t13 @t1) @t295))) % 1.74/1.91 (assume @p362 (forall @t294 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t10 @t10 @t1 @t1 @t1) @t10 @t8) @t504))) % 1.74/1.91 (assume @p363 (forall @t294 (tptp.c_Relation_Osym (tptp.hAPP @t26 @t291) @t1))) % 1.74/1.91 (assume @p364 (forall @t294 (or (tptp.c_Relation_Otrans @t505 @t1) @t504))) % 1.74/1.91 (assume @p365 (forall @t134 (= (tptp.hAPP (tptp.c_Relation_OImage @t168 @t1 @t1) @t20) @t46))) % 1.74/1.91 (assume @p366 (forall @t294 (or @t433 (not @t506)))) % 1.74/1.91 (assume @p367 (forall @t294 (or @t506 @t507))) % 1.74/1.91 (assume @p368 (forall @t510 (or @t509 (not @t508)))) % 1.74/1.91 (assume @p369 (forall @t510 (or @t508 @t511))) % 1.74/1.91 (assume @p370 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t419 @t1 @t1) @t13 @t7)) @t358 @t409))) % 1.74/1.91 (assume @p371 (forall @t513 (or @t98 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t375 @t1 @t1) @t10 @t7))) @t95))) % 1.74/1.91 (assume @p372 (forall (@list @t96 @t196 @t35 @t10 @t1) (or @t514 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t288 @t1 @t1) @t10 @t7))) @t95))) % 1.74/1.91 (assume @p373 (forall (@list @t96 @t515 @t35 @t74 @t1) (or (tptp.hBOOL (tptp.hAPP @t96 @t515)) @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t192 @t1 @t1) @t74 @t7))) @t191))) % 1.74/1.91 (assume @p374 (forall @t513 (or @t98 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t97 @t1 @t1) @t10 @t7))) @t95))) % 1.74/1.91 (assume @p375 (forall @t520 (or @t519 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t516 @t516 @t1 @t1) @t315 @t7))))) % 1.74/1.91 (assume @p376 (forall (@list @t10 @t3 @t155 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t525 @t155 @t1 @t1) @t315 @t7)) @t524 @t523))) % 1.74/1.91 (assume @p377 (forall @t530 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t529 @t1 @t1) @t74 @t7)) @t528))) % 1.74/1.91 (assume @p378 (forall @t539 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t534 @t538 tptp.t_a tptp.t_a) @t532 @t531)) @t537 @t536))) % 1.74/1.91 (assume @p379 (forall @t520 (or (not (tptp.hBOOL (tptp.c_in @t517 @t315 @t7))) @t295))) % 1.74/1.91 (assume @p380 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t542 @t31 @t1 @t1) @t10 @t7)) @t411 @t541))) % 1.74/1.91 (assume @p381 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t542 @t1 @t1) @t315 @t7)) @t411 @t541))) % 1.74/1.91 (assume @p382 (forall @t544 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t543 @t35 @t1 @t1) @t74 @t7)) @t528))) % 1.74/1.91 (assume @p383 (forall (@list @t3 @t10 @t155 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t525 @t1 @t1) @t10 @t7)) @t524 @t523))) % 1.74/1.91 (assume @p384 (forall @t539 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t538 @t533 tptp.t_a tptp.t_a) @t10 @t531)) @t537 @t536))) % 1.74/1.91 (assume @p385 (forall (@list @t22 @t31 @t1 @t10 @t16) (or @t411 @t545 (not (tptp.c_lessequals @t414 @t415 @t44)) @t410))) % 1.74/1.91 (assume @p386 (forall (@list @t22 @t31 @t1 @t10 @t3 @t16) (or @t411 (not (tptp.hBOOL (tptp.c_in @t3 (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t415 @t44) @t414) @t1))) @t410))) % 1.74/1.91 (assume @p387 (forall (@list @t1 @t16 @t20 @t18) (or @t477 (tptp.hBOOL (tptp.c_in @t478 @t16 @t18))))) % 1.74/1.91 (assume @p388 (forall (@list @t16 @t20 @t18 @t1) (or @t480 (tptp.hBOOL (tptp.c_in @t481 @t16 @t18))))) % 1.74/1.91 (assume @p389 (forall @t548 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t547 @t280 @t83 @t18) @t9 @t364)) @t546))) % 1.74/1.91 (assume @p390 (forall @t548 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t547 @t1 @t83) @t10 @t181)) @t546))) % 1.74/1.91 (assume @p391 (forall (@list @t18 @t280 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t88 @t474 @t18 @t44) @t406))) % 1.74/1.91 (assume @p392 (forall @t453 (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t475 @t44) @t20) (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t406 @t44) @t20)))) % 1.74/1.91 (assume @p393 (forall (@list @t431 @t1) (or (= @t431 (tptp.c_Pair @t549 @t549 @t1 @t1)) (not (tptp.hBOOL (tptp.c_in @t431 @t417 @t7)))))) % 1.74/1.91 (assume @p394 (forall (@list @t16 @t1 @t74) (or @t317 (not (tptp.c_lessequals @t16 (tptp.hAPP (tptp.c_Relation_OImage @t74 @t1 @t1) @t16) @t44)) @t191))) % 1.74/1.91 (assume @p395 (forall @t294 (or @t94 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t10 @t1) @t482 @t1)))))) % 1.74/1.91 (assume @p396 (forall @t294 (or @t94 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t10 @t1) @t482 @t1)))))) % 1.74/1.91 (assume @p397 (forall (@list @t16 @t280 @t1) (or (tptp.hBOOL (tptp.c_in @t551 @t16 @t1)) @t550))) % 1.74/1.91 (assume @p398 (forall (@list @t280 @t16 @t1) (or (= @t280 (tptp.c_Pair @t551 @t551 @t1 @t1)) @t550))) % 1.74/1.91 (assume @p399 (forall (@list @t137 @t10 @t3 @t1 @t18 @t135) (or @t383 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t384 @t3 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p400 (forall @t294 (= @t552 @t13))) % 1.74/1.91 (assume @p401 (forall @t294 (= (tptp.c_Transitive__Closure_Otrancl @t505 @t1) @t13))) % 1.74/1.91 (assume @p402 (forall @t294 (= @t13 @t552))) % 1.74/1.91 (assume @p403 (forall @t294 (= @t13 (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t417 @t8) @t553)))) % 1.74/1.91 (assume @p404 (forall @t554 (tptp.c_Relation_Orefl__on @t406 @t505 @t1))) % 1.74/1.91 (assume @p405 (forall @t316 (or (tptp.c_lessequals @t10 @t555 @t8) @t171))) % 1.74/1.91 (assume @p406 (= (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))) % 1.74/1.91 (assume @p407 (forall @t189 (or (= @t250 @t249) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t74 @t18 @t1) @t1 @t18))))) % 1.74/1.91 (assume @p408 (forall @t294 (or (tptp.c_Relation_Otrans @t418 @t1) @t507 @t504))) % 1.74/1.91 (assume @p409 (forall @t294 (or @t557 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t556 @t556 @t1 @t1) @t10 @t7)))))) % 1.74/1.91 (assume @p410 (forall (@list @t35 @t194 @t1 @t74 @t3) (or @t558 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t460 @t1 @t1) @t74 @t7))) @t459 @t191))) % 1.74/1.91 (assume @p411 (forall (@list @t35 @t194 @t1 @t10 @t196) (or @t558 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t458 @t1 @t1) @t10 @t7))) @t457 @t95))) % 1.74/1.91 (assume @p412 (forall (@list @t137 @t22 @t31 @t1 @t18 @t83 @t16) (or (tptp.hBOOL (tptp.c_in @t560 (tptp.c_Set_Oimage @t559 @t16 @t30 @t83) @t83)) (not (tptp.hBOOL (tptp.c_in @t32 @t16 @t30)))))) % 1.74/1.91 (assume @p413 (forall @t468 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t467 @t31 @t18 @t1) @t10 @t100)) @t466))) % 1.74/1.91 (assume @p414 (forall @t468 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t469 @t31 @t18 @t1) @t10 @t100)) @t466))) % 1.74/1.91 (assume @p415 (forall @t563 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t22 @t10 @t1 @t18) @t1 @t18) @t10 @t30)) @t562))) % 1.74/1.91 (assume @p416 (forall @t563 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t22 @t10 @t1 @t18) @t1 @t18) @t10 @t30)) @t562))) % 1.74/1.91 (assume @p417 (forall @t494 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t493 @t3 @t1 @t1) @t74 @t7)) @t492))) % 1.74/1.91 (assume @p418 (forall @t513 (or @t98 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t490 @t1 @t1) @t10 @t7))) @t484))) % 1.74/1.91 (assume @p419 (forall @t564 (or @t427 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t495 tptp.t_a tptp.t_a) @t10 @t531))) @t487))) % 1.74/1.91 (assume @p420 (forall @t498 (or @t497 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t496 @t3 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p421 (forall @t567 (or @t427 @t566 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t565 @t488 tptp.t_a tptp.t_a) @t10 @t531))) @t487))) % 1.74/1.91 (assume @p422 (forall @t564 (or @t427 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t488 tptp.t_a tptp.t_a) @t10 @t531))) @t487))) % 1.74/1.91 (assume @p423 (forall @t567 (or @t427 @t566 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t565 @t495 tptp.t_a tptp.t_a) @t10 @t531))) @t487))) % 1.74/1.91 (assume @p424 (forall @t513 (or @t98 @t512 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t485 @t1 @t1) @t10 @t7))) @t484))) % 1.74/1.91 (assume @p425 (forall @t452 (or @t451 @t464))) % 1.74/1.91 (assume @p426 (forall @t450 (or @t463 @t449 @t95))) % 1.74/1.91 (assume @p427 (forall (@list @t31 @t10 @t1 @t18) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t31 @t10 @t1 @t18) @t31 @t18 @t1) @t10 @t100)) (not (tptp.hBOOL (tptp.c_in @t31 @t378 @t1)))))) % 1.74/1.91 (assume @p428 (forall @t563 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t22 @t10 @t1 @t18) @t22 @t18 @t1) @t10 @t100)) (not @t568)))) % 1.74/1.91 (assume @p429 (forall @t530 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t543 @t1 @t1) @t79 @t7)) @t528))) % 1.74/1.91 (assume @p430 (forall @t544 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t529 @t35 @t1 @t1) @t79 @t7)) @t528))) % 1.74/1.91 (assume @p431 (forall (@list @t22 @t10 @t1 @t16) (or (tptp.hBOOL (tptp.c_in @t22 @t415 @t1)) @t322 @t410))) % 1.74/1.91 (assume @p432 (forall @t294 (or (tptp.c_lessequals @t555 @t10 @t8) @t504 @t25))) % 1.74/1.91 (assume @p433 (forall (@list @t31 @t10 @t18 @t1 @t22) (or @t570 (not @t569)))) % 1.74/1.91 (assume @p434 (forall @t380 (or @t569 (not @t570)))) % 1.74/1.91 (assume @p435 (forall @t574 (or @t573 @t572 @t410))) % 1.74/1.91 (assume @p436 (forall @t416 (or @t575 @t412 @t410))) % 1.74/1.91 (assume @p437 (forall @t294 (or @t503 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t577 @t576 @t1 @t1) @t10 @t7)))))) % 1.74/1.91 (assume @p438 (forall @t294 (or @t503 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t578 @t576 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p439 (forall @t87 (or (= @t86 @t85) (= @t16 (tptp.c_Orderings_Obot__class_Obot @t259)) (not (tptp.c_Relation_Osingle__valued @t327 @t1 @t18))))) % 1.74/1.91 (assume @p440 (forall @t416 (or (not @t575) @t411 @t545 @t410))) % 1.74/1.91 (assume @p441 (forall @t574 (or @t581 @t410 @t571 @t580 @t128))) % 1.74/1.91 (assume @p442 (forall @t574 (or @t573 @t572 @t580 @t128 @t410))) % 1.74/1.91 (assume @p443 (forall @t574 (or @t581 @t580 @t128 @t410 @t571))) % 1.74/1.91 (assume @p444 (forall @t584 (or @t527 @t297 @t583))) % 1.74/1.91 (assume @p445 (forall @t584 (or @t582 @t528 @t297))) % 1.74/1.91 (assume @p446 (forall @t589 (or @t588 @t586 @t409))) % 1.74/1.91 (assume @p447 (forall @t589 (or @t588 @t590 @t412))) % 1.74/1.91 (assume @p448 (forall @t592 (or @t472 @t591))) % 1.74/1.91 (assume @p449 (forall @t592 (or (tptp.hBOOL (tptp.c_in @t431 @t13 @t7)) @t591))) % 1.74/1.91 (assume @p450 (forall @t318 (not (= @t406 @t50)))) % 1.74/1.91 (assume @p451 (forall @t316 (or @t503 @t410))) % 1.74/1.91 (assume @p452 (forall @t316 (or @t503 @t594))) % 1.74/1.91 (assume @p453 (forall @t318 (tptp.c_Relation_Otrans @t417 @t1))) % 1.74/1.91 (assume @p454 (forall @t596 (or (tptp.c_Relation_Otrans @t595 @t18) @t504))) % 1.74/1.91 (assume @p455 (forall @t294 (or @t597 @t504))) % 1.74/1.91 (assume @p456 (forall @t294 (or @t503 (not @t597)))) % 1.74/1.91 (assume @p457 (forall @t294 (tptp.c_Relation_Otrans @t13 @t1))) % 1.74/1.91 (assume @p458 (forall @t294 (tptp.c_Relation_Otrans @t315 @t1))) % 1.74/1.91 (assume @p459 (forall @t169 (tptp.c_Relation_Otrans @t168 @t1))) % 1.74/1.91 (assume @p460 (forall @t294 (or (= @t315 @t10) @t504))) % 1.74/1.91 (assume @p461 (forall @t510 (or @t598 @t511))) % 1.74/1.91 (assume @p462 (forall @t510 (or @t509 (not @t598)))) % 1.74/1.91 (assume @p463 (forall @t554 (tptp.c_Relation_Ototal__on @t50 @t10 @t1))) % 1.74/1.91 (assume @p464 (forall @t510 (or @t509 @t594))) % 1.74/1.91 (assume @p465 (forall @t602 (or @t601 @t484 @t600))) % 1.74/1.91 (assume @p466 (forall @t602 (or @t601 @t600 @t484))) % 1.74/1.91 (assume @p467 (forall (@list @t3 @t74 @t1) (or @t604 @t603))) % 1.74/1.91 (assume @p468 (forall @t584 (or @t297 @t583 @t604))) % 1.74/1.91 (assume @p469 (forall @t316 (or @t605 @t594))) % 1.74/1.91 (assume @p470 (forall (@list @t22 @t31 @t1 @t74) (or (tptp.hBOOL (tptp.c_in @t407 @t526 @t7)) @t358 (not (tptp.hBOOL (tptp.c_in @t407 @t79 @t7)))))) % 1.74/1.91 (assume @p471 (forall @t452 (or @t608 (not @t606)))) % 1.74/1.91 (assume @p472 (forall @t450 (or @t606 (not @t608)))) % 1.74/1.91 (assume @p473 (forall (@list @t155 @t35 @t1 @t10 @t3) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t155 @t35 @t1 @t1) @t13 @t7)) (tptp.hBOOL (tptp.c_in @t609 @t13 @t7)) (not (tptp.hBOOL (tptp.c_in @t521 @t13 @t7))) @t451 (not (tptp.c_Relation_Osingle__valued @t10 @t1 @t1))))) % 1.74/1.91 (assume @p474 (forall @t610 (or @t408 @t541))) % 1.74/1.91 (assume @p475 (forall @t589 (or @t588 @t590 @t541))) % 1.74/1.91 (assume @p476 (forall @t611 (or @t522 (not (tptp.hBOOL (tptp.c_in @t609 @t315 @t7))) @t451))) % 1.74/1.91 (assume @p477 (forall @t452 (or @t615 (not @t613)))) % 1.74/1.91 (assume @p478 (forall @t452 (or @t613 (not @t615)))) % 1.74/1.91 (assume @p479 (forall (@list @t137 @t18 @t83 @t1 @t22 @t31) (= (tptp.hAPP (tptp.c_split @t137 @t18 @t83 @t1) @t616) @t560))) % 1.74/1.91 (assume @p480 (forall (@list @t137 @t1 @t18 @t83 @t22 @t31) (= (tptp.hAPP @t559 @t32) @t560))) % 1.74/1.91 (assume @p481 (forall (@list @t74 @t22 @t31 @t280 @t1 @t18 @t83) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t74 @t22) @t31) @t280)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t74 @t1 @t18 @t259) @t32) @t280)))))) % 1.74/1.91 (assume @p482 (forall (@list @t137 @t3 @t16 @t1 @t18) (or (tptp.hBOOL (tptp.c_in @t390 @t442 @t18)) @t128))) % 1.74/1.91 (assume @p483 (forall (@list @t137 @t3 @t16 @t18 @t1) (or @t617 @t454))) % 1.74/1.91 (assume @p484 (forall @t443 (or @t454 @t617))) % 1.74/1.91 (assume @p485 (forall (@list @t3 @t16 @t618 @t137 @t1) (or (not (tptp.hBOOL (tptp.c_in @t3 @t16 @t618))) (tptp.hBOOL (tptp.c_in @t390 (tptp.c_Set_Oimage @t137 @t16 @t618 @t1) @t1))))) % 1.74/1.91 (assume @p486 (forall @t620 (or @t428 @t619))) % 1.74/1.91 (assume @p487 (forall (@list @t31 @t20 @t22 @t1 @t16 @t18) (or @t623 @t622 @t621))) % 1.74/1.91 (assume @p488 (forall (@list @t22 @t16 @t18 @t31 @t20 @t1) (or @t622 @t623 @t621))) % 1.74/1.91 (assume @p489 (forall (@list @t31 @t20 @t3 @t1 @t16 @t18) (or (tptp.hBOOL (tptp.c_in @t31 @t262 @t1)) @t454 @t621))) % 1.74/1.91 (assume @p490 (forall @t624 (not (tptp.hBOOL (tptp.c_in @t22 @t50 @t1))))) % 1.74/1.91 (assume @p491 (forall (@list @t280 @t1) (not (tptp.hBOOL (tptp.c_in @t280 @t50 @t1))))) % 1.74/1.91 (assume @p492 (forall @t620 (or @t427 @t619))) % 1.74/1.91 (assume @p493 (forall @t425 @t619)) % 1.74/1.91 (assume @p494 (forall (@list @t20 @t22 @t31 @t16 @t1 @t18) (or @t626 @t322 @t625))) % 1.74/1.91 (assume @p495 (forall (@list @t22 @t16 @t1 @t20 @t31 @t18) (or @t322 @t626 @t625))) % 1.74/1.91 (assume @p496 (forall (@list @t20 @t3 @t31 @t16 @t1 @t18) (or (tptp.hBOOL (tptp.hAPP @t262 @t31)) @t128 @t625))) % 1.74/1.91 (assume @p497 (forall @t498 (or @t497 @t95))) % 1.74/1.91 (assume @p498 (forall @t169 (tptp.c_Relation_Osingle__valued @t168 @t1 @t1))) % 1.74/1.91 (assume @p499 (forall @t294 (or (tptp.c_Relation_Osym @t315 @t1) @t25))) % 1.74/1.91 (assume @p500 (forall @t294 (or @t24 (not @t627)))) % 1.74/1.91 (assume @p501 (forall @t294 (or @t627 @t25))) % 1.74/1.91 (assume @p502 (forall @t502 (= (tptp.c_Relation_ODomain @t79 @t1 @t1) @t406))) % 1.74/1.91 (assume @p503 (forall @t294 (= (tptp.c_Relation_ODomain @t315 @t1 @t1) @t501))) % 1.74/1.91 (assume @p504 (forall (@list @t1 @t137 @t18) (= @t50 @t628))) % 1.74/1.91 (assume @p505 (forall @t318 (tptp.c_Relation_Osym @t417 @t1))) % 1.74/1.91 (assume @p506 (forall @t630 (or (tptp.hBOOL (tptp.hAPP @t96 @t629)) @t428))) % 1.74/1.91 (assume @p507 (forall (@list @t1 @t74 @t18) (= (tptp.c_Relation_Orel__comp @t417 @t74 @t1 @t1 @t18) @t74))) % 1.74/1.91 (assume @p508 (forall @t631 (= (tptp.c_Relation_Orel__comp @t74 (tptp.c_Relation_OId @t18) @t1 @t18 @t18) @t74))) % 1.74/1.91 (assume @p509 (forall @t169 (tptp.c_Relation_Oantisym @t168 @t1))) % 1.74/1.91 (assume @p510 (forall @t294 (or (tptp.c_Wellfounded_Owf @t614 @t1) (not (tptp.c_Wellfounded_Owf @t291 @t1))))) % 1.74/1.91 (assume @p511 (forall @t510 (or @t170 (not @t632)))) % 1.74/1.91 (assume @p512 (forall @t510 (or @t632 @t171))) % 1.74/1.91 (assume @p513 (forall @t294 (or (tptp.c_Relation_Osym @t13 @t1) @t25))) % 1.74/1.91 (assume @p514 (forall @t502 (or @t633 @t191))) % 1.74/1.91 (assume @p515 (forall @t502 (or @t190 (not @t633)))) % 1.74/1.91 (assume @p516 (forall @t63 (= (tptp.hAPP (tptp.c_Relation_OImage @t417 @t1 @t1) @t16) @t16))) % 1.74/1.91 (assume @p517 (forall (@list @t137 @t18 @t1) (= @t628 @t50))) % 1.74/1.91 (assume @p518 (forall @t318 (= (tptp.c_Relation_ODomain @t417 @t1 @t1) @t406))) % 1.74/1.91 (assume @p519 (forall @t318 (tptp.c_Relation_Osingle__valued @t417 @t1 @t1))) % 1.74/1.91 (assume @p520 (forall @t510 (or (not (= @t635 @t634)) @t509))) % 1.74/1.91 (assume @p521 (forall @t169 (= (tptp.c_Relation_ODomain @t168 @t1 @t1) @t16))) % 1.74/1.91 (assume @p522 (forall @t294 (or @t636 @t25))) % 1.74/1.91 (assume @p523 (forall @t294 (or (not @t636) @t24))) % 1.74/1.91 (assume @p524 (forall @t294 (= (tptp.c_Relation_ORange @t315 @t1 @t1) (tptp.c_Relation_ORange @t10 @t1 @t1)))) % 1.74/1.91 (assume @p525 (forall (@list @t10 @t9 @t18 @t83 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t10 @t9 @t18 @t83 @t1) @t18 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t9 @t83 @t1) (tptp.c_Relation_Oconverse @t10 @t18 @t83) @t1 @t83 @t18)))) % 1.74/1.91 (assume @p526 (forall @t169 (tptp.c_Relation_Osym @t168 @t1))) % 1.74/1.91 (assume @p527 (forall @t169 (tptp.c_Relation_Orefl__on @t16 @t168 @t1))) % 1.74/1.91 (assume @p528 (forall @t596 (or (tptp.c_Wellfounded_Owf @t595 @t18) @t95))) % 1.74/1.91 (assume @p529 (forall @t318 (= (tptp.c_Relation_ORange @t417 @t1 @t1) @t406))) % 1.74/1.91 (assume @p530 (forall @t294 (= @t637 @t553))) % 1.74/1.91 (assume @p531 (forall @t638 (or (not (tptp.class_Orderings_Obot @t18)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t139) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t18))))) % 1.74/1.91 (assume @p532 (forall @t596 (or (tptp.c_Relation_Osym @t595 @t18) @t25))) % 1.74/1.91 (assume @p533 (forall (@list @t1 @t137 @t16 @t18) (or (not (= @t50 @t208)) @t279))) % 1.74/1.91 (assume @p534 (forall @t502 (= (tptp.c_Transitive__Closure_Otrancl @t79 @t1) @t79))) % 1.74/1.91 (assume @p535 (forall @t318 (= (tptp.c_Relation_Oconverse @t417 @t1 @t1) @t417))) % 1.74/1.91 (assume @p536 (forall @t294 (or (tptp.c_Wellfounded_Owf @t315 @t1) @t95))) % 1.74/1.91 (assume @p537 (forall @t631 (= (tptp.hAPP @t184 @t88) @t50))) % 1.74/1.91 (assume @p538 (forall (@list @t74 @t73 @t1 @t639 @t83 @t363 @t18) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t74 @t73 @t1 @t639 @t83) @t363 @t1 @t83 @t18) (tptp.c_Relation_Orel__comp @t74 (tptp.c_Relation_Orel__comp @t73 @t363 @t639 @t83 @t18) @t1 @t639 @t18)))) % 1.74/1.91 (assume @p539 (forall (@list @t74 @t137 @t18 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t74 @t137 @t18 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t74 @t18 @t18) @t137 @t18 @t1)))) % 1.74/1.91 (assume @p540 (forall @t294 (= @t612 @t614))) % 1.74/1.91 (assume @p541 (forall @t318 (or @t61 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t50 @t1) @t2)))) % 1.74/1.91 (assume @p542 (forall @t169 (= (tptp.c_Relation_Oconverse @t168 @t1 @t1) @t168))) % 1.74/1.91 (assume @p543 (forall @t294 (or (not @t640) (tptp.c_Equiv__Relations_Oequiv @t501 @t10 @t1)))) % 1.74/1.91 (assume @p544 (forall @t318 (tptp.c_Relation_Oantisym @t417 @t1))) % 1.74/1.91 (assume @p545 (forall @t642 (= (tptp.c_Relation_ORange @t641 @t18 @t1) @t28))) % 1.74/1.91 (assume @p546 (forall @t169 (= (tptp.c_Relation_ORange @t168 @t1 @t1) @t16))) % 1.74/1.91 (assume @p547 (forall (@list @t10 @t9 @t1 @t18 @t83) (or (tptp.c_Relation_Osingle__valued @t183 @t1 @t83) (not (tptp.c_Relation_Osingle__valued @t9 @t18 @t83)) @t643))) % 1.74/1.91 (assume @p548 @t645) % 1.74/1.91 (assume @p549 (forall @t554 (tptp.c_Relation_Orefl__on @t406 @t13 @t1))) % 1.74/1.91 (assume @p550 (forall @t316 (or @t640 @t410))) % 1.74/1.91 (assume @p551 (forall @t502 (= (tptp.c_Relation_Orel__comp @t79 @t79 @t1 @t1 @t1) @t79))) % 1.74/1.91 (assume @p552 (forall @t294 (or @t433 (not @t646)))) % 1.74/1.91 (assume @p553 (forall @t294 (or @t646 @t507))) % 1.74/1.91 (assume @p554 (forall @t6 (not (tptp.hBOOL (tptp.hAPP @t50 @t3))))) % 1.74/1.91 (assume @p555 (forall @t510 (or @t170 @t410))) % 1.74/1.91 (assume @p556 (forall @t502 (= (tptp.c_Relation_ORange @t79 @t1 @t1) @t406))) % 1.74/1.91 (assume @p557 (forall @t294 (= @t607 (tptp.c_Relation_Oconverse @t13 @t1 @t1)))) % 1.74/1.91 (assume @p558 (forall @t318 (tptp.c_Relation_Orefl__on @t406 @t417 @t1))) % 1.74/1.91 (assume @p559 (forall @t316 (or @t24 @t410))) % 1.74/1.91 (assume @p560 (forall (@list @t18 @t20 @t1) (= @t476 @t406))) % 1.74/1.91 (assume @p561 (forall (@list @t648 @t137 @t22 @t18 @t83 @t16 @t1 @t647) (or (tptp.c_Equiv__Relations_Ocongruent @t648 @t324 @t18 @t83) @t322 @t649 (not (tptp.c_Equiv__Relations_Oequiv @t16 @t647 @t1))))) % 1.74/1.91 (assume @p562 (forall (@list @t96 @t289 @t1) (or @t290 (not (tptp.hBOOL (tptp.hAPP @t96 @t650)))))) % 1.74/1.91 (assume @p563 (forall @t652 (= @t651 @t378))) % 1.74/1.91 (assume @p564 (forall @t294 (= @t315 @t553))) % 1.74/1.91 (assume @p565 (forall @t294 (= @t315 @t637))) % 1.74/1.91 (assume @p566 (forall (@list @t137 @t16 @t18 @t1) (or (not (= @t208 @t50)) @t279))) % 1.74/1.91 (assume @p567 (forall @t652 (= @t378 @t651))) % 1.74/1.91 (assume @p568 (forall @t502 (= (tptp.c_Transitive__Closure_Ortrancl @t526 @t1) @t79))) % 1.74/1.91 (assume @p569 (forall @t294 (= (tptp.c_Transitive__Closure_Ortrancl @t13 @t1) @t13))) % 1.74/1.91 (assume @p570 (forall @t294 (or @t503 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t654 @t653 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p571 (forall @t294 (or @t503 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t654 @t655 @t1 @t1) @t10 @t7)))))) % 1.74/1.91 (assume @p572 (forall @t294 (or @t503 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t577 @t578 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p573 (forall @t294 (or @t503 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t653 @t655 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p574 (forall @t510 (or @t509 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t634 @t635 @t1 @t1) @t10 @t7)))))) % 1.74/1.91 (assume @p575 (forall @t510 (or @t509 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t635 @t634 @t1 @t1) @t10 @t7)))))) % 1.74/1.91 (assume @p576 (forall (@list @t155 @t280 @t18 @t83 @t1 @t22 @t31) (or (tptp.hBOOL (tptp.c_in @t155 (tptp.hAPP (tptp.c_split @t280 @t18 @t83 @t44) @t616) @t1)) (not (tptp.hBOOL (tptp.c_in @t155 (tptp.hAPP (tptp.hAPP @t280 @t22) @t31) @t1)))))) % 1.74/1.91 (assume @p577 (forall (@list @t137 @t657 @t660 @t656 @t659 @t18 @t648 @t1 @t647 @t83) (or (= (tptp.hAPP (tptp.hAPP @t137 @t657) @t660) (tptp.hAPP (tptp.hAPP @t137 @t656) @t659)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t660 @t659 @t18 @t18) @t648 @t658))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t657 @t656 @t1 @t1) @t647 @t7))) @t649))) % 1.74/1.91 (assume @p578 (forall (@list @t35 @t155 @t3 @t1 @t18 @t10) (or @t662 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t155 @t1 @t18) @t10 @t30))) (not (tptp.hBOOL (tptp.c_in @t661 @t10 @t30))) @t643))) % 1.74/1.91 (assume @p579 (forall (@list @t137 @t74 @t22 @t1 @t18 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t137 @t74 @t22 @t1 @t18) @t3) @t390) (not (tptp.hBOOL (tptp.c_in @t663 @t74 @t7)))))) % 1.74/1.91 (assume @p580 (forall (@list @t137 @t10 @t22 @t1 @t18 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t137 @t10 @t22 @t1 @t18) @t3) @t390) @t664))) % 1.74/1.91 (assume @p581 (forall (@list @t74 @t3 @t35 @t1 @t18) (or @t666 (not @t665)))) % 1.74/1.91 (assume @p582 (forall (@list @t3 @t35 @t1 @t18 @t74) (or @t665 (not @t666)))) % 1.74/1.91 (assume @p583 (forall @t34 (or @t669 (not @t668)))) % 1.74/1.91 (assume @p584 (forall @t671 (or (tptp.hBOOL (tptp.c_in @t667 @t641 @t100)) @t670))) % 1.74/1.91 (assume @p585 (forall @t671 (or @t668 (not @t669)))) % 1.74/1.91 (assume @p586 (forall @t589 (or @t588 @t586 @t541))) % 1.74/1.91 (assume @p587 (forall @t589 (or @t588 @t672 @t412))) % 1.74/1.91 (assume @p588 (forall @t589 (or @t673 @t586 @t409))) % 1.74/1.91 (assume @p589 (forall @t589 (or @t673 @t590 @t412))) % 1.74/1.91 (assume @p590 (forall @t610 (or @t540 @t412))) % 1.74/1.91 (assume @p591 (forall @t589 (or @t673 @t590 @t409))) % 1.74/1.91 (assume @p592 (forall @t675 (tptp.hBOOL (tptp.c_in @t674 @t13 @t7)))) % 1.74/1.91 (assume @p593 (forall (@list @t3 @t1 @t74) @t603)) % 1.74/1.91 (assume @p594 (forall (@list @t3 @t22 @t1 @t10) (or @t664 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t3 @t1 @t1) @t10 @t7))) @t95))) % 1.74/1.91 (assume @p595 (forall @t452 (or @t297 @t677 @t572 @t507))) % 1.74/1.91 (assume @p596 (forall @t610 (or @t358 (not @t678) @t412 @t507))) % 1.74/1.91 (assume @p597 (forall (@list @t137 @t35 @t155 @t1 @t10 @t18) (or (= @t680 (tptp.hAPP @t137 @t155)) @t679 (not (tptp.c_Equiv__Relations_Ocongruent @t10 @t137 @t1 @t18))))) % 1.74/1.91 (assume @p598 (forall (@list @t3 @t35 @t1 @t16) (or @t297 @t681))) % 1.74/1.91 (assume @p599 (forall (@list @t137 @t10 @t3 @t1 @t18 @t135 @t35) (or (not @t383) (= @t680 (tptp.hAPP @t135 @t35)) @t677))) % 1.74/1.91 (assume @p600 (forall (@list @t22 @t31 @t1) (or @t358 (not (tptp.hBOOL (tptp.c_in @t407 @t417 @t7)))))) % 1.74/1.91 (assume @p601 (forall @t520 (or @t518 (not @t557)))) % 1.74/1.91 (assume @p602 (forall @t675 (or (not @t682) @t95))) % 1.74/1.91 (assume @p603 (forall (@list @t3 @t35 @t1 @t10 @t137 @t18) (or @t684 (not @t683)))) % 1.74/1.91 (assume @p604 (forall (@list @t137 @t3 @t35 @t18 @t10 @t1) (or @t683 (not @t684)))) % 1.74/1.91 (assume @p605 (forall @t450 (or @t676 @t572 @t25))) % 1.74/1.91 (assume @p606 (forall (@list @t31 @t22 @t1 @t10) (or @t678 @t412 @t25))) % 1.74/1.91 (assume @p607 (forall (@list @t22 @t280 @t1 @t83 @t10 @t9 @t18 @t31) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t280 @t1 @t83) @t183 @t181)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t31 @t280 @t18 @t83) @t9 @t178))) @t670))) % 1.74/1.91 (assume @p608 (forall (@list @t22 @t280 @t1 @t74 @t31) (or (tptp.hBOOL (tptp.c_in @t587 @t526 @t7)) (not (tptp.hBOOL (tptp.c_in @t585 @t74 @t7))) (not (tptp.hBOOL (tptp.c_in @t407 @t74 @t7)))))) % 1.74/1.91 (assume @p609 (forall @t589 (or @t588 @t672 @t541))) % 1.74/1.91 (assume @p610 (forall @t425 (tptp.hBOOL (tptp.c_in @t517 @t417 @t7)))) % 1.74/1.91 (assume @p611 (forall @t624 (tptp.hBOOL (tptp.c_in @t674 @t417 @t7)))) % 1.74/1.91 (assume @p612 (forall @t318 (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__XUNIV__witness__1__1 @t1) @t406 @t1)))) % 1.74/1.91 (assume @p613 (forall (@list @t96 @t1 @t196) (or (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1 @t96 @t1))) (not @t514) (not (tptp.hBOOL (tptp.c_in @t196 @t406 @t1)))))) % 1.74/1.91 (assume @p614 (forall (@list @t1 @t16 @t20 @t18 @t3) (or (not @t477) @t685 @t454))) % 1.74/1.91 (assume @p615 (forall @t630 (or (tptp.hBOOL (tptp.c_in @t629 @t406 @t1)) @t428))) % 1.74/1.91 (assume @p616 (forall @t63 (or (= @t406 @t16) (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1 @t16 @t1) @t16 @t1)))))) % 1.74/1.91 (assume @p617 (forall @t620 (or @t427 (not @t686) (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_ATP__Linkup_Osko__Set__Xball__UNIV__1__2 @t96 @t1))))))) % 1.74/1.91 (assume @p618 (forall (@list @t137 @t3 @t18 @t1) (tptp.hBOOL (tptp.c_in @t390 (tptp.c_Set_Oimage @t137 @t473 @t18 @t1) @t1)))) % 1.74/1.91 (assume @p619 (forall (@list @t96 @t196 @t1) (or @t514 (tptp.hBOOL (tptp.c_in @t650 @t406 @t1))))) % 1.74/1.91 (assume @p620 (forall (@list @t16 @t20 @t18 @t1 @t3) (or (not @t480) @t685 @t454))) % 1.74/1.91 (assume @p621 (= (tptp.hAPP @t687 tptp.v_x) (tptp.c_in tptp.v_x @t687 tptp.t_a))) % 1.74/1.91 (assume @p622 (forall @t318 (or @t61 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t406 @t1) @t404)))) % 1.74/1.91 (assume @p623 (forall @t695 (or @t694 @t693 @t297 @t688))) % 1.74/1.91 (assume @p624 (forall @t695 (or @t694 @t693 @t662 @t688))) % 1.74/1.91 (assume @p625 (forall @t698 (not (tptp.hBOOL (tptp.c_in @t697 @t696 @t689))))) % 1.74/1.91 (assume @p626 (forall @t699 (not (tptp.hBOOL (tptp.c_in @t691 @t696 @t689))))) % 1.74/1.91 (assume @p627 (forall @t695 (or @t692 @t662 (not @t694)))) % 1.74/1.91 (assume @p628 (forall @t699 (or @t297 @t39 (tptp.hBOOL (tptp.c_in @t691 @t700 @t689))))) % 1.74/1.91 (assume @p629 (forall @t698 (not (tptp.hBOOL (tptp.c_in @t697 @t700 @t689))))) % 1.74/1.91 (assume @p630 (forall @t702 (not (tptp.hBOOL (tptp.c_in @t701 @t700 @t689))))) % 1.74/1.91 (assume @p631 (forall @t695 (or @t703 @t693 @t297 @t662))) % 1.74/1.91 (assume @p632 (forall @t695 (or @t703 @t693 @t688 @t662))) % 1.74/1.91 (assume @p633 (forall @t702 (or @t704 @t704 (tptp.hBOOL (tptp.c_in @t701 @t696 @t689))))) % 1.74/1.91 (assume @p634 (forall @t695 (or @t692 @t688 (not @t703)))) % 1.74/1.91 (assume @p635 (forall @t510 (or @t509 (tptp.hBOOL (tptp.c_in @t635 @t16 @t1))))) % 1.74/1.91 (assume @p636 (forall @t510 (or @t509 (tptp.hBOOL (tptp.c_in @t634 @t16 @t1))))) % 1.74/1.91 (assume @p637 (forall (@list @t22 @t31 @t1 @t18 @t16 @t20) (or @t706 (not @t705) @t322))) % 1.74/1.91 (assume @p638 (forall (@list @t22 @t10 @t1 @t31) (or @t483 @t412 (not @t601)))) % 1.74/1.91 (assume @p639 (forall (@list @t35 @t10 @t1 @t22) (or (tptp.hBOOL (tptp.c_in @t35 @t482 @t1)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t35 @t22 @t1 @t1) @t10 @t7))) @t484))) % 1.74/1.91 (assume @p640 (forall (@list @t31 @t10 @t1 @t18 @t16 @t22) (or (tptp.hBOOL (tptp.c_in @t31 @t447 @t18)) @t670 @t322))) % 1.74/1.91 (assume @p641 (forall (@list @t31 @t10 @t18 @t1 @t16 @t3) (or @t465 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t31 @t18 @t1) @t10 @t100))) @t454))) % 1.74/1.91 (assume @p642 (forall (@list @t3 @t16 @t1 @t35) (or @t127 @t681))) % 1.74/1.91 (assume @p643 (forall @t43 (or (tptp.hBOOL (tptp.c_in @t517 @t168 @t7)) @t128))) % 1.74/1.91 (assume @p644 (forall @t707 (or @t579 @t572 @t410))) % 1.74/1.91 (assume @p645 (forall @t708 (or @t127 @t572 @t410))) % 1.74/1.91 (assume @p646 (forall (@list @t22 @t10 @t18 @t1 @t3) (or @t568 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t22 @t18 @t1) @t10 @t100)))))) % 1.74/1.91 (assume @p647 (forall (@list @t31 @t10 @t1 @t18 @t22) (or (tptp.hBOOL (tptp.c_in @t31 (tptp.c_Relation_ORange @t10 @t1 @t18) @t18)) @t670))) % 1.74/1.91 (assume @p648 (forall (@list @t22 @t10 @t1 @t18 @t3) (or @t561 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t22 @t3 @t1 @t18) @t10 @t30)))))) % 1.74/1.91 (assume @p649 (forall (@list @t22 @t10 @t1 @t18 @t31) (or @t561 @t670))) % 1.74/1.91 (assume @p650 (forall (@list @t31 @t20 @t22 @t18 @t1 @t16) (or @t705 @t709))) % 1.74/1.91 (assume @p651 (forall (@list @t22 @t16 @t1 @t31 @t18 @t20) (or @t321 @t709))) % 1.74/1.91 (assume @p652 (forall (@list @t3 @t1 @t10 @t16) (or @t518 @t128 @t171))) % 1.74/1.91 (assume @p653 (forall @t707 (or @t579 @t572 @t171))) % 1.74/1.91 (assume @p654 (forall @t708 (or @t127 @t572 @t171))) % 1.74/1.91 (assume @p655 (forall (@list @t22 @t1 @t10 @t16) (or @t682 @t322 @t171))) % 1.74/1.91 (assume @p656 (forall @t294 (or @t605 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t710 @t710 @t1 @t1) @t10 @t7))))) % 1.74/1.91 (assume @p657 (forall @t510 (or @t593 @t511 @t711 @t504))) % 1.74/1.91 (assume @p658 (forall @t715 (or @t714 (= @t31 @t712)))) % 1.74/1.91 (assume @p659 (forall @t715 (or @t714 (= @t22 @t713)))) % 1.74/1.91 (assume @p660 (forall @t611 (or @t524 @t679 @t572 @t504))) % 1.74/1.91 (assume @p661 (forall @t589 (or (tptp.hBOOL (tptp.c_in @t587 @t10 @t7)) @t586 @t412 @t504))) % 1.74/1.91 (assume @p662 @t716) % 1.74/1.91 (assume @p663 (forall @t638 (or (not (tptp.class_Orderings_Otop @t18)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t139) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t18))))) % 1.74/1.91 (assume @p664 (forall @t6 (tptp.hBOOL (tptp.hAPP @t406 @t3)))) % 1.74/1.91 (assume @p665 (forall @t425 @t686)) % 1.74/1.91 (assume @p666 (forall (@list @t196 @t3 @t1 @t10 @t16) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t196 @t3 @t1 @t1) @t10 @t7)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t196 @t1 @t1) @t10 @t7)) (= @t3 @t196) (not (tptp.hBOOL (tptp.c_in @t196 @t16 @t1))) @t128 @t511))) % 1.74/1.91 (assume @p667 (forall (@list @t3 @t73 @t1) (or @t718 (not @t717)))) % 1.74/1.91 (assume @p668 (forall (@list @t73 @t3 @t1) (or @t717 (not @t718)))) % 1.74/1.91 (assume @p669 (forall @t720 (tptp.c_Relation_Otrans @t719 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (assume @p670 (forall @t720 (tptp.c_Relation_Oirrefl @t719 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (assume @p671 (forall @t720 (tptp.c_Relation_Ototal__on @t721 @t719 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (assume @p672 @t724) % 1.74/1.91 (assume @p673 (not @t725)) % 1.74/1.91 (assume @p674 (forall @t731 (or (tptp.c_Relation_Otrans @t730 tptp.tc_Arrow__Order__Mirabelle_Oalt) @t729 @t728 @t727))) % 1.74/1.91 (assume @p675 (forall @t731 (or (tptp.c_Relation_Oirrefl @t730 tptp.tc_Arrow__Order__Mirabelle_Oalt) @t729 @t728 @t727))) % 1.74/1.91 (assume @p676 (forall @t731 (or (tptp.c_Relation_Ototal__on @t721 @t730 tptp.tc_Arrow__Order__Mirabelle_Oalt) @t729 @t728 @t727))) % 1.74/1.91 (assume @p677 (forall (@list @t22 @t31 @t96) (or (tptp.hBOOL (tptp.c_in @t733 (tptp.v_F @t96) @t689)) (not (tptp.hBOOL (tptp.c_in @t733 (tptp.hAPP @t96 tptp.v_i) @t689))) @t358 (not (tptp.c_Relation_Ototal__on @t721 @t732 tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_Relation_Oirrefl @t732 tptp.tc_Arrow__Order__Mirabelle_Oalt)) (not (tptp.c_Relation_Otrans @t732 tptp.tc_Arrow__Order__Mirabelle_Oalt))))) % 1.74/1.91 (assume @p678 (forall @t737 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t736) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t734))))) % 1.74/1.91 (assume @p679 (forall @t737 (or (tptp.class_Lattices_Oupper__semilattice @t736) @t738))) % 1.74/1.91 (assume @p680 (forall @t737 (or (tptp.class_Lattices_Olower__semilattice @t736) @t738))) % 1.74/1.91 (assume @p681 (forall @t737 (or (tptp.class_Lattices_Odistrib__lattice @t736) (not (tptp.class_Lattices_Odistrib__lattice @t734))))) % 1.74/1.91 (assume @p682 (forall @t737 (or (tptp.class_Lattices_Obounded__lattice @t736) (not (tptp.class_Lattices_Obounded__lattice @t734))))) % 1.74/1.91 (assume @p683 (forall @t737 (or (tptp.class_Orderings_Opreorder @t736) (not (tptp.class_Orderings_Opreorder @t734))))) % 1.74/1.91 (assume @p684 (forall @t737 (or (tptp.class_Lattices_Olattice @t736) @t738))) % 1.74/1.91 (assume @p685 (forall @t737 (or (tptp.class_Orderings_Oorder @t736) (not (tptp.class_Orderings_Oorder @t734))))) % 1.74/1.91 (assume @p686 (forall @t737 (or (tptp.class_Orderings_Otop @t736) (not (tptp.class_Orderings_Otop @t734))))) % 1.74/1.91 (assume @p687 (forall @t737 (or (tptp.class_Orderings_Obot @t736) (not (tptp.class_Orderings_Obot @t734))))) % 1.74/1.91 (assume @p688 (forall @t737 (or (tptp.class_HOL_Ominus @t736) (not (tptp.class_HOL_Ominus @t734))))) % 1.74/1.91 (assume @p689 (forall @t737 (or (tptp.class_HOL_Oord @t736) (not (tptp.class_HOL_Oord @t734))))) % 1.74/1.91 (assume @p690 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.74/1.91 (assume @p691 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.74/1.91 (assume @p692 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.74/1.91 (assume @p693 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.74/1.91 (assume @p694 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.74/1.91 (assume @p695 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.74/1.91 (assume @p696 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.74/1.91 (assume @p697 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.74/1.91 (assume @p698 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.74/1.91 (assume @p699 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.74/1.91 (assume @p700 (tptp.class_HOL_Ominus tptp.tc_bool)) % 1.74/1.91 (assume @p701 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.74/1.91 (assume @p702 (forall @t425 (tptp.c_fequal @t3 @t3 @t1))) % 1.74/1.91 (assume @p703 (forall (@list @t740 @t739 @t1) (or (= @t740 @t739) (not (tptp.c_fequal @t740 @t739 @t1))))) % 1.74/1.91 (step @p704 :rule true_intro :premises (@p672)) % 1.74/1.91 (step @p705 :rule refl :args (@t689)) % 1.74/1.91 (step @p706 :rule eq-symm :args (@t644 @t10)) % 1.74/1.91 (step @p707 :rule cong :premises (@p706) :args (@t645)) % 1.74/1.91 (step @p708 :rule eq_resolve :premises (@p548 @p707)) % 1.74/1.91 (step @p709 :rule instantiate :premises (@p708) :args ((@list @t722 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.74/1.91 (step @p710 :rule symm :premises (@p709)) % 1.74/1.91 (step @p711 :rule refl :args (@t723)) % 1.74/1.91 (step @p712 :rule cong :premises (@p711 @p710 @p705) :args ((tptp.c_in @t723 (tptp.c_Relation_Oconverse (tptp.c_Relation_Oconverse @t722 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t689))) % 1.74/1.91 (step @p713 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.74/1.91 (step @p714 :rule instantiate :premises (@p677) :args ((@list tptp.v_a tptp.v_b tptp.v_P))) % 1.74/1.91 (step @p715 :rule instantiate :premises (@p669) :args (@t742)) % 1.74/1.91 (step @p716 :rule instantiate :premises (@p670) :args (@t742)) % 1.74/1.91 (step @p717 :rule instantiate :premises (@p671) :args (@t742)) % 1.74/1.91 (step @p718 :rule cnf_or_pos :args (@t752)) % 1.74/1.91 (step @p719 :rule reordering :premises (@p718) :args ((or @t725 @t751 @t750 @t749 @t747 @t745 (not @t752)))) % 1.74/1.91 (step @p720 :rule chain_m_resolution :premises (@p719 @p673 @p672 @p717 @p716 @p715 @p714) :args (@t750 (@list true false false false false false) (@list @t725 @t724 @t748 @t746 @t744 @t752))) % 1.74/1.91 (step @p721 :rule refl :args (tptp.v_a)) % 1.74/1.91 (step @p722 :rule cong :premises (@p721 @p720 @p713 @p713) :args (@t753)) % 1.74/1.91 (step @p723 :rule cong :premises (@p722 @p709 @p705) :args (@t754)) % 1.74/1.91 (step @p724 :rule trans :premises (@p723 @p712)) % 1.74/1.91 (step @p725 :rule cong :premises (@p724) :args (@t755)) % 1.74/1.91 (step @p726 :rule trans :premises (@p725 @p704)) % 1.74/1.91 (step @p727 :rule true_elim :premises (@p726)) % 1.74/1.91 (step @p728 :rule instantiate :premises (@p670) :args ((@list tptp.v_i))) % 1.74/1.91 (step @p729 :rule cnf_or_pos :args (@t759)) % 1.74/1.91 (step @p730 :rule reordering :premises (@p729) :args ((or @t757 @t758 @t760))) % 1.74/1.91 (step @p731 :rule chain_m_resolution :premises (@p730 @p728 @p727) :args (@t760 (@list false false) (@list @t756 @t755))) % 1.74/1.91 (assume-push @p738 @t716) % 1.74/1.91 (step @p733 :rule instantiate :premises (@p662) :args ((@list tptp.v_a tptp.tc_Arrow__Order__Mirabelle_Oalt @t722))) % 1.74/1.91 (step-pop @p739 :rule scope :premises (@p733)) % 1.74/1.91 (step @p734 :rule process_scope :premises (@p739) :args (@t759)) % 1.74/1.91 (step @p736 :rule implies_elim :premises (@p734)) % 1.74/1.91 (step @p737 false :rule chain_m_resolution :premises (@p736 @p731 @p662) :args (false (@list true false) (@list @t759 @t716))) % 1.74/1.91 ) % 1.74/1.91 % SZS output end Proof % 1.74/1.91 % cvc5 exiting %------------------------------------------------------------------------------