%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT058-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:46:14 AM UTC 2026 % Result : Unsatisfiable 1.72s 1.95s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT058-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n014.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:22:28 EDT 2026 % 0.18/0.34 % CPUTime : % 0.39/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.95 % SZS status Unsatisfiable % 1.72/1.95 % SZS output start Proof % 1.72/1.98 ( % 1.72/1.98 (declare-sort $$unsorted 0) % 1.72/1.98 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.72/1.98 (declare-const tptp.v_P____ $$unsorted) % 1.72/1.98 (declare-const tptp.v_a____ $$unsorted) % 1.72/1.98 (declare-const tptp.v_b____ $$unsorted) % 1.72/1.98 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XconverseE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.t_a $$unsorted) % 1.72/1.98 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.tc_bool $$unsorted) % 1.72/1.98 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_x $$unsorted) % 1.72/1.98 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XconverseE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.72/1.98 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.72/1.98 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_P_H____ $$unsorted) % 1.72/1.98 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_r $$unsorted) % 1.72/1.98 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.t_b $$unsorted) % 1.72/1.98 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.98 (declare-const tptp.v_c____ $$unsorted) % 1.72/1.98 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 1.72/1.98 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.72/1.98 (define @t1 () (@var "T_a" $$unsorted)) % 1.72/1.98 (define @t2 () (@var "V_z" $$unsorted)) % 1.72/1.98 (define @t3 () (@var "V_x" $$unsorted)) % 1.72/1.98 (define @t4 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 1.72/1.98 (define @t5 () (@var "V_y" $$unsorted)) % 1.72/1.98 (define @t6 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 1.72/1.98 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t1)) % 1.72/1.98 (define @t8 () (= @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t1))) % 1.72/1.98 (define @t9 () (not (tptp.class_Lattices_Olattice @t1))) % 1.72/1.98 (define @t10 () (@list @t1 @t3 @t5 @t2)) % 1.72/1.98 (define @t11 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 1.72/1.98 (define @t12 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t2 @t1) @t7)) % 1.72/1.98 (define @t13 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.72/1.98 (define @t14 () (@var "V_B" $$unsorted)) % 1.72/1.98 (define @t15 () (@var "V_A" $$unsorted)) % 1.72/1.98 (define @t16 () (tptp.c_lessequals @t15 @t14 @t13)) % 1.72/1.98 (define @t17 () (not @t16)) % 1.72/1.98 (define @t18 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t13)) % 1.72/1.98 (define @t19 () (@list @t15 @t14 @t1)) % 1.72/1.98 (define @t20 () (not (tptp.c_lessequals @t14 @t15 @t13))) % 1.72/1.98 (define @t21 () (tptp.c_lessequals @t3 @t5 @t1)) % 1.72/1.98 (define @t22 () (not @t21)) % 1.72/1.98 (define @t23 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t5 @t1)) % 1.72/1.98 (define @t24 () (= @t23 @t3)) % 1.72/1.98 (define @t25 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 1.72/1.98 (define @t26 () (@list @t1 @t3 @t5)) % 1.72/1.98 (define @t27 () (tptp.c_lessequals @t5 @t3 @t1)) % 1.72/1.98 (define @t28 () (not @t27)) % 1.72/1.98 (define @t29 () (@var "V_C" $$unsorted)) % 1.72/1.98 (define @t30 () (tptp.c_lessequals @t15 @t29 @t13)) % 1.72/1.98 (define @t31 () (not @t30)) % 1.72/1.98 (define @t32 () (tptp.c_lessequals @t14 @t29 @t13)) % 1.72/1.98 (define @t33 () (not @t32)) % 1.72/1.98 (define @t34 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t13)) % 1.72/1.98 (define @t35 () (tptp.c_lessequals @t34 @t29 @t13)) % 1.72/1.98 (define @t36 () (@list @t15 @t14 @t1 @t29)) % 1.72/1.98 (define @t37 () (@list @t14 @t15 @t1)) % 1.72/1.98 (define @t38 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 1.72/1.98 (define @t39 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t29 @t13)) % 1.72/1.98 (define @t40 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t39 @t13)) % 1.72/1.98 (define @t41 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t29 @t13)) % 1.72/1.98 (define @t42 () (@list @t15 @t14 @t29 @t1)) % 1.72/1.98 (define @t43 () (@var "T_b" $$unsorted)) % 1.72/1.98 (define @t44 () (tptp.tc_fun @t43 tptp.tc_bool)) % 1.72/1.98 (define @t45 () (@var "V_f" $$unsorted)) % 1.72/1.98 (define @t46 () (tptp.c_Set_Oimage @t45 @t14 @t43 @t1)) % 1.72/1.98 (define @t47 () (tptp.c_Set_Oimage @t45 @t15 @t43 @t1)) % 1.72/1.98 (define @t48 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 1.72/1.98 (define @t49 () (tptp.c_Orderings_Obot__class_Obot @t44)) % 1.72/1.98 (define @t50 () (tptp.c_Set_Oimage @t45 @t49 @t43 @t1)) % 1.72/1.98 (define @t51 () (@var "V_y_H" $$unsorted)) % 1.72/1.98 (define @t52 () (@var "V_x_H" $$unsorted)) % 1.72/1.98 (define @t53 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t51 @t1)) % 1.72/1.98 (define @t54 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 1.72/1.98 (define @t55 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.72/1.98 (define @t56 () (@var "V_xa" $$unsorted)) % 1.72/1.98 (define @t57 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t13)) % 1.72/1.98 (define @t58 () (@var "V_R" $$unsorted)) % 1.72/1.98 (define @t59 () (tptp.c_Wellfounded_Owf @t58 @t1)) % 1.72/1.98 (define @t60 () (not @t59)) % 1.72/1.98 (define @t61 () (@var "V_P" $$unsorted)) % 1.72/1.98 (define @t62 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t61 @t58 @t1)) % 1.72/1.98 (define @t63 () (@var "V_Rb" $$unsorted)) % 1.72/1.98 (define @t64 () (tptp.c_Relation_OImage @t58 @t14 @t43 @t1)) % 1.72/1.98 (define @t65 () (tptp.c_Relation_OImage @t58 @t15 @t43 @t1)) % 1.72/1.98 (define @t66 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t44)) % 1.72/1.98 (define @t67 () (@list @t58 @t15 @t14 @t43 @t1)) % 1.72/1.98 (define @t68 () (@var "V_S" $$unsorted)) % 1.72/1.98 (define @t69 () (tptp.tc_prod @t43 @t1)) % 1.72/1.98 (define @t70 () (tptp.tc_fun @t69 tptp.tc_bool)) % 1.72/1.98 (define @t71 () (tptp.tc_prod @t1 @t43)) % 1.72/1.98 (define @t72 () (tptp.tc_fun @t71 tptp.tc_bool)) % 1.72/1.98 (define @t73 () (@var "V_r" $$unsorted)) % 1.72/1.98 (define @t74 () (@var "V_r_H" $$unsorted)) % 1.72/1.98 (define @t75 () (not (tptp.c_lessequals @t74 @t73 @t72))) % 1.72/1.98 (define @t76 () (@var "T_c" $$unsorted)) % 1.72/1.98 (define @t77 () (tptp.tc_prod @t43 @t76)) % 1.72/1.98 (define @t78 () (@var "V_s" $$unsorted)) % 1.72/1.98 (define @t79 () (@var "V_s_H" $$unsorted)) % 1.72/1.98 (define @t80 () (tptp.tc_prod @t1 @t76)) % 1.72/1.98 (define @t81 () (tptp.tc_fun @t80 tptp.tc_bool)) % 1.72/1.98 (define @t82 () (tptp.c_Relation_Orel__comp @t73 @t78 @t1 @t43 @t76)) % 1.72/1.98 (define @t83 () (@list @t1 @t3)) % 1.72/1.98 (define @t84 () (@list @t15 @t1)) % 1.72/1.98 (define @t85 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t3 @t1)) % 1.72/1.98 (define @t86 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 1.72/1.98 (define @t87 () (@list @t1 @t5 @t2 @t3)) % 1.72/1.98 (define @t88 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 1.72/1.98 (define @t89 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t88 @t1)) % 1.72/1.98 (define @t90 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t1)) % 1.72/1.98 (define @t91 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t29 @t13)) % 1.72/1.98 (define @t92 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t39 @t13)) % 1.72/1.98 (define @t93 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t15 @t13)) % 1.72/1.98 (define @t94 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t15 @t13)) % 1.72/1.98 (define @t95 () (@list @t14 @t29 @t1 @t15)) % 1.72/1.98 (define @t96 () (tptp.c_Relation_ODomain @t14 @t1 @t43)) % 1.72/1.98 (define @t97 () (tptp.c_Relation_ODomain @t15 @t1 @t43)) % 1.72/1.98 (define @t98 () (@var "V_g" $$unsorted)) % 1.72/1.98 (define @t99 () (tptp.hAPP @t98 tptp.v_x)) % 1.72/1.98 (define @t100 () (tptp.hAPP @t45 tptp.v_x)) % 1.72/1.98 (define @t101 () (tptp.tc_fun tptp.t_a @t43)) % 1.72/1.98 (define @t102 () (not (tptp.class_Lattices_Olattice @t43))) % 1.72/1.98 (define @t103 () (@list @t43 @t45 @t98)) % 1.72/1.98 (define @t104 () (not (= @t18 @t48))) % 1.72/1.98 (define @t105 () (not (tptp.hBOOL (tptp.c_in @t3 @t15 @t43)))) % 1.72/1.98 (define @t106 () (tptp.hAPP @t45 @t3)) % 1.72/1.98 (define @t107 () (tptp.c_Set_Oinsert @t3 @t14 @t1)) % 1.72/1.98 (define @t108 () (tptp.c_lessequals @t15 @t107 @t13)) % 1.72/1.98 (define @t109 () (not @t108)) % 1.72/1.98 (define @t110 () (tptp.hBOOL (tptp.c_in @t3 @t15 @t1))) % 1.72/1.98 (define @t111 () (not @t110)) % 1.72/1.98 (define @t112 () (tptp.c_Set_Oinsert @t3 @t48 @t1)) % 1.72/1.98 (define @t113 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t15 @t112 @t13) @t14 @t13)) % 1.72/1.98 (define @t114 () (not @t113)) % 1.72/1.98 (define @t115 () (@list @t15 @t3 @t14 @t1)) % 1.72/1.98 (define @t116 () (tptp.hBOOL (tptp.c_in @t3 @t14 @t1))) % 1.72/1.98 (define @t117 () (not @t116)) % 1.72/1.98 (define @t118 () (tptp.c_Set_Oinsert @t3 @t15 @t1)) % 1.72/1.98 (define @t119 () (tptp.c_HOL_Ominus__class_Ominus @t118 @t14 @t13)) % 1.72/1.98 (define @t120 () (@list @t3 @t15 @t1 @t14)) % 1.72/1.98 (define @t121 () (tptp.c_lessequals @t118 @t14 @t13)) % 1.72/1.98 (define @t122 () (not @t121)) % 1.72/1.98 (define @t123 () (@list @t15 @t14 @t1 @t3)) % 1.72/1.98 (define @t124 () (@var "V_b" $$unsorted)) % 1.72/1.98 (define @t125 () (tptp.c_Set_Oinsert @t124 @t14 @t1)) % 1.72/1.98 (define @t126 () (tptp.c_Relation_ORange @t14 @t43 @t1)) % 1.72/1.98 (define @t127 () (tptp.c_Relation_ORange @t15 @t43 @t1)) % 1.72/1.98 (define @t128 () (tptp.c_Wellfounded_Owf @t73 @t1)) % 1.72/1.98 (define @t129 () (not @t128)) % 1.72/1.98 (define @t130 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t61 @t73 @t1)) % 1.72/1.98 (define @t131 () (@var "V_a" $$unsorted)) % 1.72/1.98 (define @t132 () (tptp.hBOOL (tptp.hAPP @t61 @t131))) % 1.72/1.98 (define @t133 () (@list @t61 @t131 @t73 @t1)) % 1.72/1.98 (define @t134 () (tptp.tc_prod @t1 @t1)) % 1.72/1.98 (define @t135 () (tptp.tc_fun @t134 tptp.tc_bool)) % 1.72/1.98 (define @t136 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t68 @t135)) % 1.72/1.98 (define @t137 () (tptp.c_Transitive__Closure_Ortrancl @t136 @t1)) % 1.72/1.98 (define @t138 () (tptp.c_Transitive__Closure_Ortrancl @t68 @t1)) % 1.72/1.98 (define @t139 () (tptp.c_Transitive__Closure_Ortrancl @t58 @t1)) % 1.72/1.98 (define @t140 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t139 @t138 @t135)) % 1.72/1.98 (define @t141 () (@list @t58 @t1 @t68)) % 1.72/1.98 (define @t142 () (= @t15 @t49)) % 1.72/1.98 (define @t143 () (tptp.c_Set_Oinsert @t131 @t14 @t1)) % 1.72/1.98 (define @t144 () (@list @t131 @t14 @t1 @t29)) % 1.72/1.98 (define @t145 () (@list @t15 @t131 @t14 @t1)) % 1.72/1.98 (define @t146 () (@list @t1 @t15)) % 1.72/1.98 (define @t147 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.72/1.98 (define @t148 () (tptp.c_Set_Oinsert @t131 @t48 @t1)) % 1.72/1.98 (define @t149 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t143 @t13)) % 1.72/1.98 (define @t150 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t148 @t13)) % 1.72/1.98 (define @t151 () (tptp.c_Set_Oinsert @t131 @t18 @t1)) % 1.72/1.98 (define @t152 () (tptp.c_Set_Oinsert @t131 @t15 @t1)) % 1.72/1.98 (define @t153 () (tptp.c_Relation_Osym @t73 @t1)) % 1.72/1.98 (define @t154 () (not @t153)) % 1.72/1.98 (define @t155 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t78 @t135)) % 1.72/1.98 (define @t156 () (@list @t73 @t78 @t1)) % 1.72/1.98 (define @t157 () (not (tptp.c_lessequals @t73 @t78 @t135))) % 1.72/1.98 (define @t158 () (tptp.c_Transitive__Closure_Ortrancl @t78 @t1)) % 1.72/1.98 (define @t159 () (tptp.c_Transitive__Closure_Ortrancl @t73 @t1)) % 1.72/1.98 (define @t160 () (tptp.c_lessequals @t159 @t158 @t135)) % 1.72/1.98 (define @t161 () (@list @t73 @t1 @t78)) % 1.72/1.98 (define @t162 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 1.72/1.98 (define @t163 () (@list @t1 @t14)) % 1.72/1.98 (define @t164 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t44)) % 1.72/1.98 (define @t165 () (@list @t45 @t15 @t14 @t43 @t1)) % 1.72/1.98 (define @t166 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t64 @t13)) % 1.72/1.98 (define @t167 () (tptp.c_Relation_OImage @t58 @t164 @t43 @t1)) % 1.72/1.98 (define @t168 () (tptp.c_lessequals @t29 @t15 @t13)) % 1.72/1.98 (define @t169 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t29 @t13) @t92)) % 1.72/1.98 (define @t170 () (not @t168)) % 1.72/1.98 (define @t171 () (@var "V_J" $$unsorted)) % 1.72/1.98 (define @t172 () (tptp.c_Product__Type_OSigma @t171 @t29 @t1 @t43)) % 1.72/1.98 (define @t173 () (@var "V_I" $$unsorted)) % 1.72/1.98 (define @t174 () (tptp.c_Product__Type_OSigma @t173 @t29 @t1 @t43)) % 1.72/1.98 (define @t175 () (@list @t173 @t171 @t1 @t29 @t43)) % 1.72/1.98 (define @t176 () (tptp.c_Wellfounded_Owf @t136 @t1)) % 1.72/1.98 (define @t177 () (@list @t58 @t68 @t1)) % 1.72/1.98 (define @t178 () (tptp.hBOOL (tptp.hAPP @t34 @t3))) % 1.72/1.98 (define @t179 () (tptp.hBOOL (tptp.hAPP @t15 @t3))) % 1.72/1.98 (define @t180 () (tptp.hBOOL (tptp.hAPP @t14 @t3))) % 1.72/1.98 (define @t181 () (@list @t14 @t3 @t15 @t1)) % 1.72/1.98 (define @t182 () (not @t180)) % 1.72/1.98 (define @t183 () (not @t179)) % 1.72/1.98 (define @t184 () (tptp.c_Relation_Orefl__on @t15 @t73 @t1)) % 1.72/1.98 (define @t185 () (not @t184)) % 1.72/1.98 (define @t186 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t2 @t1)) % 1.72/1.98 (define @t187 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t186 @t1)) % 1.72/1.98 (define @t188 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t2 @t1) @t187)) % 1.72/1.98 (define @t189 () (= @t187 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t88 @t1))) % 1.72/1.98 (define @t190 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t29 @t13)) % 1.72/1.98 (define @t191 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t190 @t13)) % 1.72/1.98 (define @t192 () (@list @t29 @t15 @t14 @t1)) % 1.72/1.98 (define @t193 () (tptp.c_HOL_Ominus__class_Ominus @t91 @t190 @t13)) % 1.72/1.98 (define @t194 () (@var "V_D" $$unsorted)) % 1.72/1.98 (define @t195 () (@list @t15 @t14 @t1 @t29 @t194)) % 1.72/1.98 (define @t196 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t4 @t1)) % 1.72/1.98 (define @t197 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t186 @t1)) % 1.72/1.98 (define @t198 () (@list @t15 @t29 @t1 @t14)) % 1.72/1.98 (define @t199 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t61 @t73 @t1)) % 1.72/1.98 (define @t200 () (@var "V_xb" $$unsorted)) % 1.72/1.98 (define @t201 () (= @t15 @t14)) % 1.72/1.98 (define @t202 () (= @t3 @t5)) % 1.72/1.98 (define @t203 () (not (tptp.class_Orderings_Oorder @t1))) % 1.72/1.98 (define @t204 () (= @t11 @t5)) % 1.72/1.98 (define @t205 () (= @t34 @t14)) % 1.72/1.98 (define @t206 () (= @t15 @t48)) % 1.72/1.98 (define @t207 () (@list @t1)) % 1.72/1.98 (define @t208 () (tptp.hBOOL (tptp.c_in @t131 @t29 @t1))) % 1.72/1.98 (define @t209 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t143 @t29 @t13)) % 1.72/1.98 (define @t210 () (tptp.hBOOL (tptp.c_in @t131 @t15 @t1))) % 1.72/1.98 (define @t211 () (not @t210)) % 1.72/1.98 (define @t212 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t143 @t13)) % 1.72/1.98 (define @t213 () (tptp.hAPP @t45 @t131)) % 1.72/1.98 (define @t214 () (not (tptp.c_lessequals @t14 @t194 @t13))) % 1.72/1.98 (define @t215 () (tptp.c_lessequals @t23 @t3 @t1)) % 1.72/1.98 (define @t216 () (tptp.c_lessequals @t23 @t5 @t1)) % 1.72/1.98 (define @t217 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.72/1.98 (define @t218 () (not @t217)) % 1.72/1.98 (define @t219 () (tptp.c_lessequals @t3 @t186 @t1)) % 1.72/1.98 (define @t220 () (tptp.c_lessequals @t131 @t3 @t1)) % 1.72/1.98 (define @t221 () (not @t220)) % 1.72/1.98 (define @t222 () (tptp.c_lessequals @t124 @t3 @t1)) % 1.72/1.98 (define @t223 () (not @t222)) % 1.72/1.98 (define @t224 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t124 @t1)) % 1.72/1.98 (define @t225 () (tptp.c_lessequals @t224 @t3 @t1)) % 1.72/1.98 (define @t226 () (@list @t1 @t131 @t124 @t3)) % 1.72/1.98 (define @t227 () (tptp.c_lessequals @t3 @t11 @t1)) % 1.72/1.98 (define @t228 () (tptp.c_lessequals @t5 @t11 @t1)) % 1.72/1.98 (define @t229 () (@list @t1 @t5 @t3)) % 1.72/1.98 (define @t230 () (tptp.c_lessequals @t2 @t3 @t1)) % 1.72/1.98 (define @t231 () (tptp.c_lessequals @t5 @t2 @t1)) % 1.72/1.98 (define @t232 () (not @t231)) % 1.72/1.98 (define @t233 () (tptp.c_lessequals @t11 @t2 @t1)) % 1.72/1.98 (define @t234 () (= @t23 @t85)) % 1.72/1.98 (define @t235 () (tptp.c_Wellfounded_Oacyclic @t73 @t1)) % 1.72/1.98 (define @t236 () (@list @t73 @t1)) % 1.72/1.98 (define @t237 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t15 @t13)) % 1.72/1.98 (define @t238 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t237 @t13)) % 1.72/1.98 (define @t239 () (tptp.c_Set_Oinsert @t131 @t150 @t1)) % 1.72/1.98 (define @t240 () (@list @t131 @t15 @t1)) % 1.72/1.98 (define @t241 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t15 @t13)) % 1.72/1.98 (define @t242 () (tptp.c_Relation_OField @t73 @t1)) % 1.72/1.98 (define @t243 () (tptp.c_Set_Oinsert @t124 @t48 @t1)) % 1.72/1.98 (define @t244 () (tptp.c_Set_Oinsert @t131 @t243 @t1)) % 1.72/1.98 (define @t245 () (tptp.c_Pair @t131 @t124 @t1 @t1)) % 1.72/1.98 (define @t246 () (@list @t131 @t124 @t1 @t73)) % 1.72/1.98 (define @t247 () (@list @t3 @t14 @t1 @t15)) % 1.72/1.98 (define @t248 () (tptp.c_Set_Oimage @t45 @t15 @t1 @t43)) % 1.72/1.98 (define @t249 () (@list @t45 @t3 @t15 @t1 @t43)) % 1.72/1.98 (define @t250 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t15 @t73 @t1)) % 1.72/1.98 (define @t251 () (not @t250)) % 1.72/1.98 (define @t252 () (tptp.c_Relation_Ototal__on @t15 @t73 @t1)) % 1.72/1.98 (define @t253 () (@list @t15 @t73 @t1)) % 1.72/1.98 (define @t254 () (not (= @t34 @t48))) % 1.72/1.98 (define @t255 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t1) @t147))) % 1.72/1.98 (define @t256 () (@list @t1 @t15 @t14)) % 1.72/1.98 (define @t257 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t15 @t13)) % 1.72/1.98 (define @t258 () (@var "V_T" $$unsorted)) % 1.72/1.98 (define @t259 () (tptp.tc_prod @t76 @t43)) % 1.72/1.98 (define @t260 () (tptp.c_Relation_OField @t78 @t1)) % 1.72/1.98 (define @t261 () (tptp.c_lessequals @t29 @t18 @t13)) % 1.72/1.98 (define @t262 () (not @t261)) % 1.72/1.98 (define @t263 () (tptp.c_lessequals @t29 @t14 @t13)) % 1.72/1.98 (define @t264 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t131 @t124 @t1)) % 1.72/1.98 (define @t265 () (tptp.c_lessequals @t3 @t264 @t1)) % 1.72/1.98 (define @t266 () (not @t265)) % 1.72/1.98 (define @t267 () (tptp.c_lessequals @t3 @t131 @t1)) % 1.72/1.98 (define @t268 () (@list @t1 @t3 @t131 @t124)) % 1.72/1.98 (define @t269 () (tptp.c_lessequals @t3 @t124 @t1)) % 1.72/1.98 (define @t270 () (tptp.c_lessequals @t264 @t3 @t1)) % 1.72/1.98 (define @t271 () (not @t219)) % 1.72/1.98 (define @t272 () (@list @t1 @t3 @t2 @t5)) % 1.72/1.98 (define @t273 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t29 @t13)) % 1.72/1.98 (define @t274 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t29 @t13)) % 1.72/1.98 (define @t275 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 1.72/1.98 (define @t276 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 1.72/1.98 (define @t277 () (= @t11 @t276)) % 1.72/1.98 (define @t278 () (@var "V_R2" $$unsorted)) % 1.72/1.98 (define @t279 () (@var "V_R1" $$unsorted)) % 1.72/1.98 (define @t280 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t11 @t1) @t11)) % 1.72/1.98 (define @t281 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t61 @t73 @t1)) % 1.72/1.98 (define @t282 () (tptp.hBOOL (tptp.hAPP @t18 @t3))) % 1.72/1.98 (define @t283 () (not @t282)) % 1.72/1.98 (define @t284 () (tptp.c_lessequals @t15 @t39 @t13)) % 1.72/1.98 (define @t285 () (tptp.c_lessequals @t57 @t29 @t13)) % 1.72/1.98 (define @t286 () (= (tptp.c_Recdef_Ocut @t45 @t73 @t3 @t1 @t43) (tptp.c_Recdef_Ocut @t98 @t73 @t3 @t1 @t43))) % 1.72/1.98 (define @t287 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t45 @t98 @t73 @t3 @t1 @t43)) % 1.72/1.98 (define @t288 () (tptp.c_Pair @t5 @t3 @t1 @t1)) % 1.72/1.98 (define @t289 () (tptp.c_Set_Oinsert @t288 @t73 @t134)) % 1.72/1.98 (define @t290 () (tptp.c_Wellfounded_Oacyclic @t289 @t1)) % 1.72/1.98 (define @t291 () (not @t290)) % 1.72/1.98 (define @t292 () (@list @t73 @t1 @t5 @t3)) % 1.72/1.98 (define @t293 () (tptp.hAPP @t98 @t3)) % 1.72/1.98 (define @t294 () (@var "V_c" $$unsorted)) % 1.72/1.98 (define @t295 () (tptp.hBOOL (tptp.c_in @t294 @t15 @t1))) % 1.72/1.98 (define @t296 () (not @t295)) % 1.72/1.98 (define @t297 () (tptp.hBOOL (tptp.c_in @t294 @t14 @t1))) % 1.72/1.98 (define @t298 () (not @t297)) % 1.72/1.98 (define @t299 () (tptp.hBOOL (tptp.c_in @t294 @t18 @t1))) % 1.72/1.98 (define @t300 () (@list @t294 @t15 @t14 @t1)) % 1.72/1.98 (define @t301 () (@var "V_t" $$unsorted)) % 1.72/1.98 (define @t302 () (@list @t294 @t14 @t1 @t15)) % 1.72/1.98 (define @t303 () (tptp.hBOOL (tptp.c_in @t294 @t34 @t1))) % 1.72/1.98 (define @t304 () (tptp.hBOOL (tptp.c_in @t294 @t57 @t1))) % 1.72/1.98 (define @t305 () (not @t304)) % 1.72/1.98 (define @t306 () (@list @t294 @t15 @t1 @t14)) % 1.72/1.98 (define @t307 () (not @t299)) % 1.72/1.98 (define @t308 () (@var "T_aa" $$unsorted)) % 1.72/1.98 (define @t309 () (tptp.hBOOL (tptp.c_in @t106 @t47 @t1))) % 1.72/1.98 (define @t310 () (@list @t3 @t15 @t43 @t45 @t1)) % 1.72/1.98 (define @t311 () (tptp.c_Relation_Oconverse @t43 @t1)) % 1.72/1.98 (define @t312 () (tptp.hAPP @t311 @t73)) % 1.72/1.98 (define @t313 () (not @t235)) % 1.72/1.98 (define @t314 () (tptp.c_Relation_Oconverse @t1 @t1)) % 1.72/1.98 (define @t315 () (tptp.hAPP @t314 @t73)) % 1.72/1.98 (define @t316 () (tptp.c_Wellfounded_Oacyclic @t315 @t1)) % 1.72/1.98 (define @t317 () (@list @t1 @t73)) % 1.72/1.98 (define @t318 () (tptp.c_Relation_OId @t1)) % 1.72/1.98 (define @t319 () (tptp.c_HOL_Ominus__class_Ominus @t73 @t318 @t135)) % 1.72/1.98 (define @t320 () (@list @t3 @t15 @t1)) % 1.72/1.98 (define @t321 () (tptp.hBOOL (tptp.c_in @t245 @t159 @t134))) % 1.72/1.98 (define @t322 () (not @t321)) % 1.72/1.98 (define @t323 () (= @t131 @t124)) % 1.72/1.98 (define @t324 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t131 @t124 @t73 @t1)) % 1.72/1.98 (define @t325 () (@list @t131 @t124 @t73 @t1)) % 1.72/1.98 (define @t326 () (tptp.c_Pair @t3 @t2 @t1 @t1)) % 1.72/1.98 (define @t327 () (not (tptp.hBOOL (tptp.c_in @t326 @t159 @t134)))) % 1.72/1.98 (define @t328 () (= @t3 @t2)) % 1.72/1.98 (define @t329 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t73 @t3 @t2 @t1)) % 1.72/1.98 (define @t330 () (@list @t73 @t3 @t2 @t1)) % 1.72/1.98 (define @t331 () (not @t267)) % 1.72/1.98 (define @t332 () (not @t269)) % 1.72/1.98 (define @t333 () (tptp.c_Relation_Otrans @t73 @t1)) % 1.72/1.98 (define @t334 () (@list @t73 @t1 @t15)) % 1.72/1.98 (define @t335 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t23 @t1) @t23)) % 1.72/1.98 (define @t336 () (tptp.c_Relation_ORange @t73 @t1 @t1)) % 1.72/1.98 (define @t337 () (tptp.c_Relation_ODomain @t73 @t1 @t1)) % 1.72/1.98 (define @t338 () (not @t233)) % 1.72/1.98 (define @t339 () (tptp.c_lessequals @t3 @t224 @t1)) % 1.72/1.98 (define @t340 () (not @t225)) % 1.72/1.98 (define @t341 () (not @t35)) % 1.72/1.98 (define @t342 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.72/1.98 (define @t343 () (@list @t3 @t1)) % 1.72/1.98 (define @t344 () (@var "V_Q" $$unsorted)) % 1.72/1.98 (define @t345 () (not (tptp.c_lessequals @t61 @t344 @t13))) % 1.72/1.98 (define @t346 () (tptp.hBOOL (tptp.hAPP @t61 @t3))) % 1.72/1.98 (define @t347 () (not @t346)) % 1.72/1.98 (define @t348 () (tptp.hBOOL (tptp.hAPP @t344 @t3))) % 1.72/1.98 (define @t349 () (@list @t344 @t3 @t61 @t1)) % 1.72/1.98 (define @t350 () (@var "V_p" $$unsorted)) % 1.72/1.98 (define @t351 () (tptp.c_lessequals @t3 @t3 @t1)) % 1.72/1.98 (define @t352 () (tptp.c_Relation_Oantisym @t73 @t1)) % 1.72/1.98 (define @t353 () (not (tptp.c_lessequals @t73 @t78 @t72))) % 1.72/1.98 (define @t354 () (tptp.c_Relation_Osingle__valued @t73 @t1 @t43)) % 1.72/1.98 (define @t355 () (@list @t73 @t1 @t43 @t78)) % 1.72/1.98 (define @t356 () (tptp.c_Relation_ODomain @t73 @t1 @t43)) % 1.72/1.98 (define @t357 () (tptp.c_lessequals @t51 @t52 @t1)) % 1.72/1.98 (define @t358 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t5 @t1) @t53))) % 1.72/1.98 (define @t359 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.72/1.98 (define @t360 () (@list @t1 @t3 @t5 @t52 @t51)) % 1.72/1.98 (define @t361 () (@var "V_A_H" $$unsorted)) % 1.72/1.98 (define @t362 () (tptp.c_Relation_OImage @t73 @t15 @t1 @t43)) % 1.72/1.98 (define @t363 () (tptp.c_Relation_Oirrefl @t73 @t1)) % 1.72/1.98 (define @t364 () (tptp.c_Pair @t3 @t5 @t1 @t1)) % 1.72/1.98 (define @t365 () (tptp.hBOOL (tptp.c_in @t364 @t159 @t134))) % 1.72/1.98 (define @t366 () (@list @t5 @t3 @t1 @t73)) % 1.72/1.98 (define @t367 () (not @t365)) % 1.72/1.98 (define @t368 () (@list @t3 @t5 @t1 @t73)) % 1.72/1.98 (define @t369 () (tptp.hBOOL (tptp.hAPP @t61 @t124))) % 1.72/1.98 (define @t370 () (not @t369)) % 1.72/1.98 (define @t371 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t61 @t124 @t73 @t1)) % 1.72/1.98 (define @t372 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t61 @t124 @t73 @t1)) % 1.72/1.98 (define @t373 () (@list @t61 @t131 @t124 @t73 @t1)) % 1.72/1.98 (define @t374 () (not @t132)) % 1.72/1.98 (define @t375 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t61 @t131 @t73 @t1)) % 1.72/1.98 (define @t376 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t61 @t131 @t73 @t1)) % 1.72/1.98 (define @t377 () (@list @t61 @t124 @t131 @t73 @t1)) % 1.72/1.98 (define @t378 () (not (tptp.hBOOL (tptp.c_in @t56 @t344 @t1)))) % 1.72/1.98 (define @t379 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t344 @t73 @t1)) % 1.72/1.98 (define @t380 () (not (tptp.hBOOL (tptp.c_in @t3 @t344 @t1)))) % 1.72/1.98 (define @t381 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t344 @t58 @t1)) % 1.72/1.98 (define @t382 () (tptp.c_Wellfounded_Owf @t289 @t1)) % 1.72/1.98 (define @t383 () (not @t382)) % 1.72/1.98 (define @t384 () (tptp.hBOOL (tptp.c_in @t124 (tptp.c_Relation_OImage @t73 @t15 @t43 @t1) @t1))) % 1.72/1.98 (define @t385 () (not @t384)) % 1.72/1.98 (define @t386 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t15 @t124 @t73 @t43 @t1)) % 1.72/1.98 (define @t387 () (@list @t15 @t124 @t73 @t43 @t1)) % 1.72/1.98 (define @t388 () (tptp.c_COMBK @t294 @t1 @t43)) % 1.72/1.98 (define @t389 () (tptp.hBOOL (tptp.c_in @t3 @t137 @t134))) % 1.72/1.98 (define @t390 () (@list @t3 @t58 @t68 @t1)) % 1.72/1.98 (define @t391 () (tptp.c_Transitive__Closure_Otrancl @t73 @t1)) % 1.72/1.98 (define @t392 () (tptp.hBOOL (tptp.c_in @t350 @t391 @t134))) % 1.72/1.98 (define @t393 () (tptp.c_Wellfounded_Oacc @t73 @t1)) % 1.72/1.98 (define @t394 () (tptp.hBOOL (tptp.c_in @t131 @t393 @t1))) % 1.72/1.98 (define @t395 () (not @t394)) % 1.72/1.98 (define @t396 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t61 @t73 @t1)) % 1.72/1.98 (define @t397 () (tptp.c_Wellfounded_Oacc @t73 tptp.t_a)) % 1.72/1.98 (define @t398 () (not (tptp.hBOOL (tptp.c_in @t3 @t397 tptp.t_a)))) % 1.72/1.98 (define @t399 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t61 @t73)) % 1.72/1.98 (define @t400 () (@list @t61 @t3 @t73)) % 1.72/1.98 (define @t401 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t61 @t73 @t1)) % 1.72/1.98 (define @t402 () (tptp.c_Wellfounded_Oacc @t58 @t1)) % 1.72/1.98 (define @t403 () (tptp.hBOOL (tptp.c_in @t3 @t402 @t1))) % 1.72/1.98 (define @t404 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t58 @t3 @t1)) % 1.72/1.98 (define @t405 () (@list @t58 @t3 @t1)) % 1.72/1.98 (define @t406 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t61 @t73)) % 1.72/1.98 (define @t407 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t73 @t3 @t1)) % 1.72/1.98 (define @t408 () (tptp.hBOOL (tptp.c_in @t3 @t393 @t1))) % 1.72/1.98 (define @t409 () (@list @t3 @t73 @t1)) % 1.72/1.98 (define @t410 () (tptp.c_Relation_Orel__comp @t58 @t58 @t1 @t1 @t1)) % 1.72/1.98 (define @t411 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t410 (tptp.c_Relation_Orel__comp @t68 @t58 @t1 @t1 @t1) @t135) @t68 @t135) @t1)) % 1.72/1.98 (define @t412 () (@list @t58 @t1)) % 1.72/1.98 (define @t413 () (not @t333)) % 1.72/1.98 (define @t414 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t318 @t135)) % 1.72/1.98 (define @t415 () (tptp.c_Relation_OId__on @t15 @t1)) % 1.72/1.98 (define @t416 () (tptp.c_Relation_Oantisym @t414 @t1)) % 1.72/1.98 (define @t417 () (not @t352)) % 1.72/1.98 (define @t418 () (tptp.c_Relation_Ototal__on @t15 @t319 @t1)) % 1.72/1.98 (define @t419 () (not @t252)) % 1.72/1.98 (define @t420 () (@list @t3 @t73 @t2 @t1)) % 1.72/1.98 (define @t421 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 1.72/1.98 (define @t422 () (tptp.c_Transitive__Closure_Ortrancl @t73 tptp.t_a)) % 1.72/1.98 (define @t423 () (@var "V_a2" $$unsorted)) % 1.72/1.98 (define @t424 () (@var "V_a1" $$unsorted)) % 1.72/1.98 (define @t425 () (tptp.c_Pair @t424 @t423 tptp.t_a tptp.t_a)) % 1.72/1.98 (define @t426 () (not (tptp.hBOOL (tptp.c_in @t425 @t422 @t421)))) % 1.72/1.98 (define @t427 () (= @t423 @t424)) % 1.72/1.98 (define @t428 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t424 @t423 @t73)) % 1.72/1.98 (define @t429 () (@list @t424 @t423 @t73)) % 1.72/1.98 (define @t430 () (tptp.hBOOL (tptp.hAPP @t61 @t5))) % 1.72/1.98 (define @t431 () (@list @t61 @t131 @t5 @t73 @t1)) % 1.72/1.98 (define @t432 () (@var "V_Ra" $$unsorted)) % 1.72/1.98 (define @t433 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t73 @t1)) % 1.72/1.98 (define @t434 () (tptp.c_Pair @t3 @t3 @t1 @t1)) % 1.72/1.98 (define @t435 () (tptp.hBOOL (tptp.c_in @t434 @t73 @t134))) % 1.72/1.98 (define @t436 () (not @t435)) % 1.72/1.98 (define @t437 () (@list @t3 @t1 @t73)) % 1.72/1.98 (define @t438 () (tptp.hBOOL (tptp.c_in @t326 @t391 @t134))) % 1.72/1.98 (define @t439 () (not @t438)) % 1.72/1.98 (define @t440 () (tptp.hBOOL (tptp.c_in @t326 @t73 @t134))) % 1.72/1.98 (define @t441 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t73 @t3 @t2 @t1)) % 1.72/1.98 (define @t442 () (tptp.c_Transitive__Closure_Otrancl @t58 @t1)) % 1.72/1.98 (define @t443 () (tptp.hBOOL (tptp.c_in @t364 @t442 @t134))) % 1.72/1.98 (define @t444 () (not @t443)) % 1.72/1.98 (define @t445 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t58 @t3 @t5 @t1)) % 1.72/1.98 (define @t446 () (@list @t3 @t58 @t5 @t1)) % 1.72/1.98 (define @t447 () (tptp.c_Transitive__Closure_Otrancl @t73 tptp.t_a)) % 1.72/1.98 (define @t448 () (not (tptp.hBOOL (tptp.c_in @t425 @t447 @t421)))) % 1.72/1.98 (define @t449 () (tptp.hBOOL (tptp.c_in @t425 @t73 @t421))) % 1.72/1.98 (define @t450 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t424 @t423 @t73)) % 1.72/1.98 (define @t451 () (tptp.hBOOL (tptp.c_in @t245 @t391 @t134))) % 1.72/1.98 (define @t452 () (not @t451)) % 1.72/1.98 (define @t453 () (tptp.hBOOL (tptp.c_in @t245 @t73 @t134))) % 1.72/1.98 (define @t454 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t131 @t124 @t73 @t1)) % 1.72/1.98 (define @t455 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t58 @t3 @t5 @t1)) % 1.72/1.98 (define @t456 () (@list @t58 @t3 @t5 @t1)) % 1.72/1.98 (define @t457 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t294 @t1 @t43) (tptp.c_Relation_Orel__comp @t73 @t78 @t1 @t76 @t43) @t71)))) % 1.72/1.98 (define @t458 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t131 @t294 @t73 @t78 @t1 @t43 @t76)) % 1.72/1.98 (define @t459 () (@list @t131 @t294 @t73 @t78 @t1 @t43 @t76)) % 1.72/1.98 (define @t460 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t350 @t1)) % 1.72/1.98 (define @t461 () (tptp.c_Pair @t131 @t124 @t1 @t43)) % 1.72/1.98 (define @t462 () (@list @t131 @t124 @t1 @t43 @t73)) % 1.72/1.98 (define @t463 () (tptp.c_Relation_ORange @t73 @t43 @t1)) % 1.72/1.98 (define @t464 () (tptp.c_Pair @t131 @t124 @t43 @t1)) % 1.72/1.98 (define @t465 () (@list @t131 @t124 @t43 @t1 @t73)) % 1.72/1.98 (define @t466 () (not (tptp.hBOOL (tptp.c_in @t294 @t415 @t134)))) % 1.72/1.98 (define @t467 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t15 @t294 @t1)) % 1.72/1.98 (define @t468 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t391 @t318 @t135)) % 1.72/1.98 (define @t469 () (tptp.c_Relation_Orel__comp @t159 @t73 @t1 @t1 @t1)) % 1.72/1.98 (define @t470 () (tptp.c_Relation_Orel__comp @t315 @t73 @t1 @t1 @t1)) % 1.72/1.98 (define @t471 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t73 @t1)) % 1.72/1.98 (define @t472 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t73 @t1)) % 1.72/1.98 (define @t473 () (tptp.c_Nitpick_Orefl_H @t73 @t1)) % 1.72/1.98 (define @t474 () (not @t363)) % 1.72/1.98 (define @t475 () (not (tptp.hBOOL (tptp.c_in @t5 @t344 @t1)))) % 1.72/1.98 (define @t476 () (tptp.c_split @t45 @t1 @t43 @t76)) % 1.72/1.98 (define @t477 () (tptp.hAPP @t213 @t124)) % 1.72/1.98 (define @t478 () (tptp.hBOOL (tptp.c_in @t131 @t356 @t1))) % 1.72/1.98 (define @t479 () (not @t478)) % 1.72/1.98 (define @t480 () (@list @t131 @t73 @t1 @t43)) % 1.72/1.98 (define @t481 () (@list @t61 @t3 @t5 @t73)) % 1.72/1.98 (define @t482 () (@var "V_ya" $$unsorted)) % 1.72/1.98 (define @t483 () (tptp.hBOOL (tptp.c_in @t482 @t397 tptp.t_a))) % 1.72/1.98 (define @t484 () (@list @t61 @t3 @t482 @t73)) % 1.72/1.98 (define @t485 () (not (tptp.c_Equiv__Relations_Oequiv @t15 @t73 @t1))) % 1.72/1.98 (define @t486 () (tptp.hBOOL (tptp.c_in @t5 @t15 @t1))) % 1.72/1.98 (define @t487 () (not @t486)) % 1.72/1.98 (define @t488 () (tptp.hBOOL (tptp.c_in @t364 @t73 @t134))) % 1.72/1.98 (define @t489 () (not @t488)) % 1.72/1.98 (define @t490 () (tptp.c_Set_Oinsert @t5 @t48 @t1)) % 1.72/1.98 (define @t491 () (= (tptp.c_Equiv__Relations_Oquotient @t112 @t73 @t1) (tptp.c_Equiv__Relations_Oquotient @t490 @t73 @t1))) % 1.72/1.98 (define @t492 () (@list @t3 @t1 @t73 @t5 @t15)) % 1.72/1.98 (define @t493 () (not @t453)) % 1.72/1.98 (define @t494 () (tptp.c_Relation_OImage @t73 @t243 @t1 @t1)) % 1.72/1.98 (define @t495 () (tptp.c_Relation_OImage @t73 @t148 @t1 @t1)) % 1.72/1.98 (define @t496 () (@list @t73 @t131 @t1 @t124 @t15)) % 1.72/1.98 (define @t497 () (= @t495 @t494)) % 1.72/1.98 (define @t498 () (not @t497)) % 1.72/1.98 (define @t499 () (not (tptp.hBOOL (tptp.c_in @t124 @t15 @t1)))) % 1.72/1.98 (define @t500 () (tptp.hBOOL (tptp.c_in @t124 (tptp.c_Relation_OImage @t73 (tptp.c_Set_Oinsert @t131 @t49 @t43) @t43 @t1) @t1))) % 1.72/1.98 (define @t501 () (tptp.hBOOL (tptp.c_in @t464 @t73 @t69))) % 1.72/1.98 (define @t502 () (@var "V_d" $$unsorted)) % 1.72/1.98 (define @t503 () (= @t124 @t502)) % 1.72/1.98 (define @t504 () (= @t124 @t294)) % 1.72/1.98 (define @t505 () (not (= @t244 (tptp.c_Set_Oinsert @t294 (tptp.c_Set_Oinsert @t502 @t48 @t1) @t1)))) % 1.72/1.98 (define @t506 () (@list @t131 @t124 @t1 @t294 @t502)) % 1.72/1.98 (define @t507 () (= @t131 @t502)) % 1.72/1.98 (define @t508 () (= @t131 @t294)) % 1.72/1.98 (define @t509 () (tptp.c_Set_Oinsert @t5 @t15 @t1)) % 1.72/1.98 (define @t510 () (tptp.hBOOL (tptp.hAPP @t509 @t3))) % 1.72/1.98 (define @t511 () (= @t5 @t3)) % 1.72/1.98 (define @t512 () (tptp.hBOOL (tptp.c_in @t131 (tptp.c_Set_Oinsert @t124 @t15 @t1) @t1))) % 1.72/1.98 (define @t513 () (= (tptp.c_Relation_OImage @t73 @t112 @t1 @t1) (tptp.c_Relation_OImage @t73 @t490 @t1 @t1))) % 1.72/1.98 (define @t514 () (@list @t73 @t3 @t1 @t5 @t15)) % 1.72/1.98 (define @t515 () (not @t513)) % 1.72/1.98 (define @t516 () (tptp.hBOOL (tptp.c_in @t434 @t139 @t134))) % 1.72/1.98 (define @t517 () (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Relation_ODomain @t58 @t1 @t1) @t1))) % 1.72/1.98 (define @t518 () (tptp.c_Pair @t124 @t131 @t1 @t1)) % 1.72/1.98 (define @t519 () (not (tptp.hBOOL (tptp.c_in @t518 @t159 @t134)))) % 1.72/1.98 (define @t520 () (tptp.hBOOL (tptp.c_in @t124 @t393 @t1))) % 1.72/1.98 (define @t521 () (@list @t124 @t73 @t1 @t131)) % 1.72/1.98 (define @t522 () (tptp.c_Relation_Osym @t315 @t1)) % 1.72/1.98 (define @t523 () (tptp.c_Relation_Orefl__on @t15 @t315 @t1)) % 1.72/1.98 (define @t524 () (@list @t15 @t1 @t73)) % 1.72/1.98 (define @t525 () (= @t315 @t73)) % 1.72/1.98 (define @t526 () (tptp.c_Relation_Otrans @t315 @t1)) % 1.72/1.98 (define @t527 () (tptp.hAPP @t314 @t391)) % 1.72/1.98 (define @t528 () (tptp.c_Transitive__Closure_Otrancl @t315 @t1)) % 1.72/1.98 (define @t529 () (tptp.c_Relation_Oantisym @t315 @t1)) % 1.72/1.98 (define @t530 () (tptp.c_Transitive__Closure_Ortrancl @t315 @t1)) % 1.72/1.98 (define @t531 () (tptp.c_Relation_Ototal__on @t15 @t315 @t1)) % 1.72/1.98 (define @t532 () (not (tptp.hBOOL (tptp.c_in @t350 @t73 @t134)))) % 1.72/1.98 (define @t533 () (@list @t350 @t73 @t1)) % 1.72/1.98 (define @t534 () (tptp.c_Pair @t124 @t294 @t1 @t1)) % 1.72/1.98 (define @t535 () (not (tptp.hBOOL (tptp.c_in @t534 @t159 @t134)))) % 1.72/1.98 (define @t536 () (tptp.c_Pair @t131 @t294 @t1 @t1)) % 1.72/1.98 (define @t537 () (tptp.hBOOL (tptp.c_in @t536 @t391 @t134))) % 1.72/1.98 (define @t538 () (@list @t131 @t294 @t1 @t73 @t124)) % 1.72/1.98 (define @t539 () (not (tptp.hBOOL (tptp.c_in @t534 @t73 @t134)))) % 1.72/1.98 (define @t540 () (tptp.hBOOL (tptp.c_in @t364 @t139 @t134))) % 1.72/1.98 (define @t541 () (@list @t3 @t5 @t1 @t58)) % 1.72/1.98 (define @t542 () (not @t540)) % 1.72/1.98 (define @t543 () (tptp.c_Pair @t5 @t2 @t1 @t1)) % 1.72/1.98 (define @t544 () (@list @t3 @t2 @t1 @t73 @t5)) % 1.72/1.98 (define @t545 () (tptp.c_Pair @t131 @t124 @t43 @t76)) % 1.72/1.98 (define @t546 () (not (tptp.hBOOL (tptp.c_in @t3 @t48 @t1)))) % 1.72/1.98 (define @t547 () (@list @t61 @t3 @t1)) % 1.72/1.98 (define @t548 () (@list @t131 @t1)) % 1.72/1.98 (define @t549 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t15 @t124 @t73 @t43 @t1)) % 1.72/1.98 (define @t550 () (@list @t58 @t43 @t1)) % 1.72/1.98 (define @t551 () (tptp.c_Wellfounded_Owf @t410 @t1)) % 1.72/1.98 (define @t552 () (tptp.c_Relation_Oinv__image @t73 @t45 @t1 @t43)) % 1.72/1.98 (define @t553 () (@list @t73 @t45 @t1 @t43)) % 1.72/1.98 (define @t554 () (tptp.c_Relation_Orel__comp @t73 @t159 @t1 @t1 @t1)) % 1.72/1.98 (define @t555 () (@var "T_d" $$unsorted)) % 1.72/1.98 (define @t556 () (= @t470 @t73)) % 1.72/1.98 (define @t557 () (tptp.hAPP (tptp.c_Relation_Oconverse @t1 @t43) @t73)) % 1.72/1.98 (define @t558 () (not @t354)) % 1.72/1.98 (define @t559 () (@var "V_r1" $$unsorted)) % 1.72/1.98 (define @t560 () (@var "V_r2" $$unsorted)) % 1.72/1.98 (define @t561 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t559 @t560 @t45 @t1 @t43 @t76))) % 1.72/1.98 (define @t562 () (tptp.c_Relation_ODomain @t312 @t1 @t43)) % 1.72/1.98 (define @t563 () (@list @t43 @t1 @t73)) % 1.72/1.98 (define @t564 () (tptp.hBOOL (tptp.c_in @t131 @t463 @t1))) % 1.72/1.98 (define @t565 () (@var "V_yx" $$unsorted)) % 1.72/1.98 (define @t566 () (not (tptp.hBOOL (tptp.c_in @t565 @t312 @t71)))) % 1.72/1.98 (define @t567 () (tptp.c_ATP__Linkup_Osko__Relation__XconverseE__1__2 @t73 @t565 @t43 @t1)) % 1.72/1.98 (define @t568 () (tptp.c_ATP__Linkup_Osko__Relation__XconverseE__1__1 @t73 @t565 @t43 @t1)) % 1.72/1.98 (define @t569 () (@var "V_z1" $$unsorted)) % 1.72/1.98 (define @t570 () (@var "V_y1" $$unsorted)) % 1.72/1.98 (define @t571 () (tptp.tc_prod @t43 @t43)) % 1.72/1.98 (define @t572 () (@var "V_z2" $$unsorted)) % 1.72/1.98 (define @t573 () (@var "V_y2" $$unsorted)) % 1.72/1.98 (define @t574 () (tptp.c_Pair @t3 @t5 @t1 @t43)) % 1.72/1.98 (define @t575 () (= @t5 @t2)) % 1.72/1.98 (define @t576 () (tptp.c_Pair @t3 @t131 @t1 @t1)) % 1.72/1.98 (define @t577 () (not (tptp.hBOOL (tptp.c_in @t576 @t73 @t134)))) % 1.72/1.98 (define @t578 () (tptp.hBOOL (tptp.c_in @t574 @t58 @t71))) % 1.72/1.98 (define @t579 () (tptp.c_FunDef_Oin__rel @t58 @t3 @t5 @t1 @t43)) % 1.72/1.98 (define @t580 () (not (tptp.hBOOL (tptp.c_in @t543 @t73 @t134)))) % 1.72/1.98 (define @t581 () (not (tptp.hBOOL (tptp.c_in @t534 @t391 @t134)))) % 1.72/1.98 (define @t582 () (tptp.hBOOL (tptp.c_in @t536 @t159 @t134))) % 1.72/1.98 (define @t583 () (tptp.c_Pair @t131 @t131 @t1 @t1)) % 1.72/1.98 (define @t584 () (@list @t131 @t1 @t73)) % 1.72/1.98 (define @t585 () (tptp.hBOOL (tptp.c_in @t288 @t73 @t134))) % 1.72/1.98 (define @t586 () (not @t585)) % 1.72/1.98 (define @t587 () (tptp.hBOOL (tptp.c_in @t518 @t73 @t134))) % 1.72/1.98 (define @t588 () (tptp.hAPP @t45 @t5)) % 1.72/1.98 (define @t589 () (not (tptp.hBOOL (tptp.c_in @t364 @t415 @t134)))) % 1.72/1.98 (define @t590 () (tptp.hBOOL (tptp.c_in @t583 @t73 @t134))) % 1.72/1.98 (define @t591 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t106 @t588 @t43 @t43) @t73 @t571))) % 1.72/1.98 (define @t592 () (tptp.hBOOL (tptp.c_in @t364 (tptp.c_Relation_Oinv__image @t73 @t45 @t43 @t1) @t134))) % 1.72/1.98 (define @t593 () (not (tptp.hBOOL (tptp.c_in @t461 @t73 @t71)))) % 1.72/1.98 (define @t594 () (tptp.c_Orderings_Obot__class_Obot @t275)) % 1.72/1.98 (define @t595 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t596 () (@var "V_L" $$unsorted)) % 1.72/1.98 (define @t597 () (tptp.c_Pair @t3 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t598 () (tptp.hBOOL (tptp.c_in @t597 @t596 @t595))) % 1.72/1.98 (define @t599 () (not @t598)) % 1.72/1.98 (define @t600 () (tptp.hBOOL (tptp.c_in @t597 (tptp.c_Arrow__Order__Mirabelle_Omktop @t596 @t2) @t595))) % 1.72/1.98 (define @t601 () (@list @t3 @t5 @t596 @t2)) % 1.72/1.98 (define @t602 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t596 @t3)) % 1.72/1.98 (define @t603 () (tptp.c_Pair @t3 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t604 () (@list @t3 @t596)) % 1.72/1.98 (define @t605 () (@list @t3 @t5 @t596)) % 1.72/1.98 (define @t606 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t596 @t3)) % 1.72/1.98 (define @t607 () (tptp.c_Pair @t56 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t608 () (@list @t56 @t3 @t596)) % 1.72/1.98 (define @t609 () (tptp.hBOOL (tptp.c_in @t597 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t596 @t2) @t595))) % 1.72/1.98 (define @t610 () (= @t56 @t3)) % 1.72/1.98 (define @t611 () (tptp.hBOOL (tptp.c_in @t124 (tptp.hAPP @t14 @t131) @t43))) % 1.72/1.98 (define @t612 () (tptp.hBOOL (tptp.c_in @t461 (tptp.c_Product__Type_OSigma @t15 @t14 @t1 @t43) @t71))) % 1.72/1.98 (define @t613 () (@list @t5 @t15 @t1 @t3 @t73)) % 1.72/1.98 (define @t614 () (@list @t3 @t15 @t1 @t5 @t73)) % 1.72/1.98 (define @t615 () (not @t612)) % 1.72/1.98 (define @t616 () (tptp.hBOOL (tptp.c_in @t364 @t527 @t134))) % 1.72/1.98 (define @t617 () (tptp.hBOOL (tptp.c_in @t364 @t528 @t134))) % 1.72/1.98 (define @t618 () (tptp.hBOOL (tptp.c_in @t364 @t530 @t134))) % 1.72/1.98 (define @t619 () (tptp.hBOOL (tptp.c_in @t288 @t159 @t134))) % 1.72/1.98 (define @t620 () (@var "T_e" $$unsorted)) % 1.72/1.98 (define @t621 () (@var "V_g_H" $$unsorted)) % 1.72/1.98 (define @t622 () (@var "V_f_H" $$unsorted)) % 1.72/1.98 (define @t623 () (tptp.hAPP (tptp.c_Fun_Ocomp @t45 @t98 @t43 @t1 @t76) @t3)) % 1.72/1.98 (define @t624 () (tptp.hAPP @t45 @t293)) % 1.72/1.98 (define @t625 () (@var "V_v" $$unsorted)) % 1.72/1.98 (define @t626 () (tptp.hAPP @t131 (tptp.hAPP @t124 @t625))) % 1.72/1.98 (define @t627 () (tptp.c_Fun_Ocomp @t131 @t124 @t76 @t43 @t1)) % 1.72/1.98 (define @t628 () (@var "V_b_H" $$unsorted)) % 1.72/1.98 (define @t629 () (@var "V_a_H" $$unsorted)) % 1.72/1.98 (define @t630 () (not (= @t461 (tptp.c_Pair @t629 @t628 @t1 @t43)))) % 1.72/1.98 (define @t631 () (@list @t131 @t124 @t1 @t43 @t629 @t628)) % 1.72/1.98 (define @t632 () (tptp.c_Pair @t124 @t131 @t43 @t1)) % 1.72/1.98 (define @t633 () (tptp.hBOOL (tptp.c_in @t632 @t73 @t69))) % 1.72/1.98 (define @t634 () (tptp.hBOOL (tptp.c_in @t461 @t312 @t71))) % 1.72/1.98 (define @t635 () (@list @t124 @t131 @t43 @t1 @t73)) % 1.72/1.98 (define @t636 () (@var "V_h" $$unsorted)) % 1.72/1.98 (define @t637 () (@var "V_i" $$unsorted)) % 1.72/1.98 (define @t638 () (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t639 () (tptp.hBOOL (tptp.c_in @t638 (tptp.hAPP tptp.v_P_H____ @t637) @t595))) % 1.72/1.98 (define @t640 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t641 () (tptp.hBOOL (tptp.c_in @t640 (tptp.hAPP tptp.v_P____ @t637) @t595))) % 1.72/1.98 (define @t642 () (@list @t637)) % 1.72/1.98 (define @t643 () (forall @t642 (or @t641 (not @t639)))) % 1.72/1.98 (define @t644 () (tptp.hAPP @t311 @t557)) % 1.72/1.98 (define @t645 () (forall @t563 (= @t644 @t73))) % 1.72/1.98 (define @t646 () (forall (@list @t131 @t124 @t625 @t76 @t43 @t1) (= @t626 (tptp.hAPP @t627 @t625)))) % 1.72/1.98 (define @t647 () (tptp.hBOOL (tptp.hAPP @t68 @t3))) % 1.72/1.98 (define @t648 () (tptp.hBOOL (tptp.c_in @t3 @t68 @t1))) % 1.72/1.98 (define @t649 () (tptp.tc_fun @t595 tptp.tc_bool)) % 1.72/1.98 (define @t650 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t649)) % 1.72/1.98 (define @t651 () (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t652 () (tptp.hAPP (tptp.c_Fun_Ocomp @t651 tptp.v_P____ @t649 @t649 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_x)) % 1.72/1.98 (define @t653 () (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.72/1.98 (define @t654 () (tptp.hBOOL (tptp.c_in @t653 @t652 @t595))) % 1.72/1.98 (define @t655 () (tptp.hBOOL (tptp.c_in @t638 (tptp.hAPP tptp.v_P_H____ tptp.v_x) @t595))) % 1.72/1.98 (define @t656 () (not @t654)) % 1.72/1.98 (define @t657 () (not @t655)) % 1.72/1.98 (define @t658 () (@var "T_1" $$unsorted)) % 1.72/1.98 (define @t659 () (not (tptp.class_Lattices_Olattice @t658))) % 1.72/1.98 (define @t660 () (@var "T_2" $$unsorted)) % 1.72/1.98 (define @t661 () (tptp.tc_fun @t660 @t658)) % 1.72/1.98 (define @t662 () (@list @t660 @t658)) % 1.72/1.98 (define @t663 () (@var "V_Y" $$unsorted)) % 1.72/1.98 (define @t664 () (@var "V_X" $$unsorted)) % 1.72/1.98 (define @t665 () (tptp.hAPP tptp.v_P____ tptp.v_x)) % 1.72/1.98 (define @t666 () (tptp.hAPP @t651 @t665)) % 1.72/1.98 (define @t667 () (= @t666 @t652)) % 1.72/1.98 (define @t668 () (@list @t651 tptp.v_P____ tptp.v_x @t649 @t649 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.72/1.98 (define @t669 () (= @t652 @t666)) % 1.72/1.98 (define @t670 () (@list false)) % 1.72/1.98 (define @t671 () (tptp.hAPP @t651 @t652)) % 1.72/1.98 (define @t672 () (@list tptp.v_x)) % 1.72/1.98 (define @t673 () (tptp.c_in @t640 @t665 @t595)) % 1.72/1.98 (define @t674 () (tptp.hBOOL @t673)) % 1.72/1.98 (define @t675 () (not @t674)) % 1.72/1.98 (define @t676 () (or @t655 @t675)) % 1.72/1.98 (define @t677 () (tptp.c_in @t653 @t666 @t595)) % 1.72/1.98 (define @t678 () (tptp.hBOOL @t677)) % 1.72/1.98 (define @t679 () (not @t678)) % 1.72/1.98 (define @t680 () (or @t674 @t679)) % 1.72/1.98 (define @t681 () (and @t654 @t669)) % 1.72/1.98 (define @t682 () (tptp.hAPP @t651 @t671)) % 1.72/1.98 (define @t683 () (tptp.c_in @t653 @t682 @t595)) % 1.72/1.98 (define @t684 () (tptp.hBOOL @t683)) % 1.72/1.98 (define @t685 () (not @t684)) % 1.72/1.98 (define @t686 () (tptp.hAPP @t651 @t666)) % 1.72/1.98 (define @t687 () (= @t665 @t686)) % 1.72/1.98 (define @t688 () (not @t687)) % 1.72/1.98 (define @t689 () (not @t669)) % 1.72/1.98 (define @t690 () (and @t656 @t669 @t687)) % 1.72/1.98 (define @t691 () (@list true false false)) % 1.72/1.98 (define @t692 () (tptp.hBOOL (tptp.c_in @t640 @t671 @t595))) % 1.72/1.98 (define @t693 () (not @t692)) % 1.72/1.98 (define @t694 () (or @t684 @t693)) % 1.72/1.98 (define @t695 () (@list true false)) % 1.72/1.98 (define @t696 () (and @t669 @t693 @t687)) % 1.72/1.98 (define @t697 () (or @t674 @t657)) % 1.72/1.98 (define @t698 () (not @t697)) % 1.72/1.98 (assume @p1 (forall @t10 (or @t9 @t8))) % 1.72/1.98 (assume @p2 (forall @t10 (or @t9 @t12))) % 1.72/1.98 (assume @p3 (forall @t19 (or (= @t18 @t15) @t17))) % 1.72/1.98 (assume @p4 (forall @t19 (or (= @t18 @t14) @t20))) % 1.72/1.98 (assume @p5 (forall @t26 (or @t25 @t24 @t22))) % 1.72/1.98 (assume @p6 (forall @t26 (or @t25 (not @t24) @t21))) % 1.72/1.98 (assume @p7 (forall @t26 (or @t25 (= @t23 @t5) @t28))) % 1.72/1.98 (assume @p8 (forall @t36 (or @t35 @t33 @t31))) % 1.72/1.98 (assume @p9 (forall @t37 (tptp.c_lessequals @t14 @t34 @t13))) % 1.72/1.98 (assume @p10 (forall @t19 (tptp.c_lessequals @t15 @t34 @t13))) % 1.72/1.98 (assume @p11 (forall @t10 (or @t38 @t8))) % 1.72/1.98 (assume @p12 (forall @t10 (or @t38 @t12))) % 1.72/1.98 (assume @p13 (forall @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t29 @t13) @t40))) % 1.72/1.98 (assume @p14 (forall @t42 (= @t40 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t41 @t13)))) % 1.72/1.98 (assume @p15 (forall (@list @t45 @t15 @t43 @t1 @t14) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t47 @t46 @t13) (tptp.c_Set_Oimage @t45 (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t44) @t43 @t1) @t13))) % 1.72/1.98 (assume @p16 (forall (@list @t45 @t43 @t1) (= @t50 @t48))) % 1.72/1.98 (assume @p17 (forall (@list @t1 @t3 @t52 @t51) (or @t55 (not (= @t54 @t53)) (= @t52 @t51)))) % 1.72/1.98 (assume @p18 (forall (@list @t1 @t56 @t5 @t3) (or @t55 (not (= (tptp.c_HOL_Ominus__class_Ominus @t56 @t5 @t1) @t54)) (= @t56 @t5)))) % 1.72/1.98 (assume @p19 (forall @t19 (= (tptp.c_HOL_Ominus__class_Ominus @t57 @t14 @t13) @t57))) % 1.72/1.98 (assume @p20 (forall (@list @t61 @t63 @t58 @t1) (or (tptp.hBOOL (tptp.hAPP @t61 @t63)) (not (tptp.hBOOL (tptp.hAPP @t61 @t62))) @t60))) % 1.72/1.98 (assume @p21 (forall @t67 (= (tptp.c_Relation_OImage @t58 @t66 @t43 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t64 @t13)))) % 1.72/1.98 (assume @p22 (forall (@list @t58 @t68 @t43 @t1 @t15) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t68 @t70) @t15 @t43 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 (tptp.c_Relation_OImage @t68 @t15 @t43 @t1) @t13)))) % 1.72/1.98 (assume @p23 (forall (@list @t74 @t79 @t1 @t43 @t76 @t73 @t78) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t74 @t79 @t1 @t43 @t76) @t82 @t81) (not (tptp.c_lessequals @t79 @t78 (tptp.tc_fun @t77 tptp.tc_bool))) @t75))) % 1.72/1.98 (assume @p24 (forall @t83 (or @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t1) @t3)))) % 1.72/1.98 (assume @p25 (forall @t84 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t15 @t13) @t15))) % 1.72/1.98 (assume @p26 (forall @t87 (or @t86 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t85 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1) @t1))))) % 1.72/1.98 (assume @p27 (forall @t10 (or @t86 (= @t90 @t89)))) % 1.72/1.98 (assume @p28 (forall @t42 (= @t92 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t91 @t13)))) % 1.72/1.98 (assume @p29 (forall @t95 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t15 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t94 @t93 @t13)))) % 1.72/1.98 (assume @p30 (forall (@list @t15 @t1 @t43 @t14) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t97 @t96 @t13) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t72) @t1 @t43) @t13))) % 1.72/1.98 (assume @p31 (forall @t103 (or @t102 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t98 @t101) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t100 @t99 @t43))))) % 1.72/1.98 (assume @p32 (forall @t19 (or @t104 (= @t57 @t15)))) % 1.72/1.98 (assume @p33 (forall (@list @t45 @t3 @t14 @t1 @t15 @t43) (or (tptp.hBOOL (tptp.c_in @t106 @t14 @t1)) @t105 (not (tptp.c_lessequals @t47 @t14 @t13))))) % 1.72/1.98 (assume @p34 (forall (@list @t15 @t3 @t1 @t14) (or @t113 @t111 @t109))) % 1.72/1.98 (assume @p35 (forall @t115 (or @t108 @t111 @t114))) % 1.72/1.98 (assume @p36 (forall @t120 (or (= @t119 @t57) @t117))) % 1.72/1.98 (assume @p37 (forall @t123 (or @t16 @t122))) % 1.72/1.98 (assume @p38 (forall (@list @t15 @t124 @t14 @t1) (or (tptp.c_lessequals @t15 @t125 @t13) @t17))) % 1.72/1.98 (assume @p39 (forall (@list @t15 @t43 @t1 @t14) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t127 @t126 @t13) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t70) @t43 @t1) @t13))) % 1.72/1.98 (assume @p40 (forall @t133 (or @t132 (not (tptp.hBOOL (tptp.hAPP @t61 @t130))) @t129))) % 1.72/1.98 (assume @p41 (forall @t141 (tptp.c_lessequals @t140 @t137 @t135))) % 1.72/1.98 (assume @p42 (forall (@list @t1 @t45 @t15 @t43) (or (not (= @t48 @t47)) @t142))) % 1.72/1.98 (assume @p43 (forall @t144 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t143 @t29 @t13) (tptp.c_Set_Oinsert @t131 @t39 @t1)))) % 1.72/1.98 (assume @p44 (forall @t145 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t143 @t13) (tptp.c_Set_Oinsert @t131 @t34 @t1)))) % 1.72/1.98 (assume @p45 (forall @t146 (tptp.c_lessequals @t48 @t15 @t13))) % 1.72/1.98 (assume @p46 (forall @t83 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t147 @t3 @t1)))) % 1.72/1.98 (assume @p47 (forall @t145 (= @t149 (tptp.c_HOL_Ominus__class_Ominus @t57 @t148 @t13)))) % 1.72/1.98 (assume @p48 (forall @t145 (= @t149 (tptp.c_HOL_Ominus__class_Ominus @t150 @t14 @t13)))) % 1.72/1.98 (assume @p49 (forall (@list @t131 @t15 @t1 @t14) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t152 @t143 @t13) @t151))) % 1.72/1.98 (assume @p50 (forall @t156 (or (tptp.c_Relation_Osym @t155 @t1) (not (tptp.c_Relation_Osym @t78 @t1)) @t154))) % 1.72/1.98 (assume @p51 (forall @t161 (or @t160 @t157))) % 1.72/1.98 (assume @p52 (forall @t83 (or @t162 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t147 @t1) @t147)))) % 1.72/1.98 (assume @p53 (forall @t83 (or @t162 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t147 @t3 @t1) @t147)))) % 1.72/1.98 (assume @p54 (forall @t163 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t14 @t13) @t48))) % 1.72/1.98 (assume @p55 (forall @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t48 @t13) @t48))) % 1.72/1.98 (assume @p56 (forall (@list @t14 @t131 @t1) (tptp.c_lessequals @t14 @t143 @t13))) % 1.72/1.98 (assume @p57 (forall @t165 (tptp.c_lessequals (tptp.c_Set_Oimage @t45 @t164 @t43 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t47 @t46 @t13) @t13))) % 1.72/1.98 (assume @p58 (forall @t67 (tptp.c_lessequals @t167 @t166 @t13))) % 1.72/1.98 (assume @p59 (forall @t36 (or (not @t169) @t168))) % 1.72/1.98 (assume @p60 (forall @t36 (or @t169 @t170))) % 1.72/1.98 (assume @p61 (forall @t175 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t173 @t171 @t13) @t29 @t1 @t43) (tptp.c_HOL_Ominus__class_Ominus @t174 @t172 @t72)))) % 1.72/1.98 (assume @p62 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t48 @t13) @t15))) % 1.72/1.98 (assume @p63 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t15 @t13) @t48))) % 1.72/1.98 (assume @p64 (forall @t177 (or @t176 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t58 @t68 @t1 @t1 @t1) @t58 @t135)) (not (tptp.c_Wellfounded_Owf @t68 @t1)) @t60))) % 1.72/1.98 (assume @p65 (forall @t181 (or @t180 @t179 (not @t178)))) % 1.72/1.98 (assume @p66 (forall @t123 (or @t178 @t182))) % 1.72/1.98 (assume @p67 (forall @t123 (or @t178 @t183))) % 1.72/1.98 (assume @p68 (forall (@list @t15 @t14 @t1 @t73 @t78) (or (tptp.c_Relation_Orefl__on @t34 @t155 @t1) (not (tptp.c_Relation_Orefl__on @t14 @t78 @t1)) @t185))) % 1.72/1.98 (assume @p69 (forall @t10 (or @t9 @t188))) % 1.72/1.98 (assume @p70 (forall @t10 (or @t9 @t189))) % 1.72/1.98 (assume @p71 (forall @t10 (or @t25 @t189))) % 1.72/1.98 (assume @p72 (forall @t10 (or @t25 @t188))) % 1.72/1.98 (assume @p73 (forall @t36 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t29 @t13) @t191))) % 1.72/1.98 (assume @p74 (forall @t42 (= @t191 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t91 @t13)))) % 1.72/1.98 (assume @p75 (forall @t83 (or @t162 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t147 @t1) @t3)))) % 1.72/1.98 (assume @p76 (forall @t83 (or @t162 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t147 @t3 @t1) @t3)))) % 1.72/1.98 (assume @p77 (forall @t163 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t14 @t13) @t14))) % 1.72/1.98 (assume @p78 (forall @t84 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t48 @t13) @t15))) % 1.72/1.98 (assume @p79 (forall @t146 (= (tptp.c_HOL_Ominus__class_Ominus @t48 @t15 @t13) @t48))) % 1.72/1.98 (assume @p80 (forall @t192 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t57 @t13) (tptp.c_HOL_Ominus__class_Ominus @t93 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t14 @t13) @t13)))) % 1.72/1.98 (assume @p81 (forall @t36 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t29 @t13) @t193))) % 1.72/1.98 (assume @p82 (forall @t195 (or (tptp.c_lessequals @t57 (tptp.c_HOL_Ominus__class_Ominus @t29 @t194 @t13) @t13) (not (tptp.c_lessequals @t194 @t14 @t13)) @t31))) % 1.72/1.98 (assume @p83 (forall @t10 (or @t9 (tptp.c_lessequals @t197 @t196 @t1)))) % 1.72/1.98 (assume @p84 (forall @t198 (= @t193 (tptp.c_HOL_Ominus__class_Ominus @t91 @t14 @t13)))) % 1.72/1.98 (assume @p85 (forall @t26 (or @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t23 @t1) @t3)))) % 1.72/1.98 (assume @p86 (forall (@list @t61 @t200 @t73 @t1) (or (tptp.hBOOL (tptp.hAPP @t61 @t200)) (not (tptp.hBOOL (tptp.hAPP @t61 @t199))) @t129))) % 1.72/1.98 (assume @p87 (forall @t19 (or @t201 @t20 @t17))) % 1.72/1.98 (assume @p88 (forall @t26 (or @t203 @t202 @t28 @t22))) % 1.72/1.98 (assume @p89 (forall @t26 (or @t203 @t202 @t22 @t28))) % 1.72/1.98 (assume @p90 (forall @t26 (or @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t11 @t1) @t3)))) % 1.72/1.98 (assume @p91 (forall @t19 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t18 @t13) @t15))) % 1.72/1.98 (assume @p92 (forall @t26 (or @t38 (= @t11 @t3) @t28))) % 1.72/1.98 (assume @p93 (forall @t26 (or @t38 (not @t204) @t21))) % 1.72/1.98 (assume @p94 (forall @t26 (or @t38 @t204 @t22))) % 1.72/1.98 (assume @p95 (forall @t19 (or @t205 @t17))) % 1.72/1.98 (assume @p96 (forall @t19 (or (= @t34 @t15) @t20))) % 1.72/1.98 (assume @p97 (forall @t19 (or (not @t205) @t16))) % 1.72/1.98 (assume @p98 (forall @t161 (or @t160 (not (tptp.c_lessequals @t73 @t158 @t135))))) % 1.72/1.98 (assume @p99 (forall @t84 (or @t206 (not (tptp.c_lessequals @t15 @t48 @t13))))) % 1.72/1.98 (assume @p100 (forall @t207 (tptp.c_lessequals @t48 @t48 @t13))) % 1.72/1.98 (assume @p101 (forall @t144 (or (= @t209 (tptp.c_Set_Oinsert @t131 @t190 @t1)) (not @t208)))) % 1.72/1.98 (assume @p102 (forall @t145 (or (= @t212 @t151) @t211))) % 1.72/1.98 (assume @p103 (forall (@list @t45 @t131 @t14 @t43 @t1) (= (tptp.c_Set_Oimage @t45 (tptp.c_Set_Oinsert @t131 @t14 @t43) @t43 @t1) (tptp.c_Set_Oinsert @t213 @t46 @t1)))) % 1.72/1.98 (assume @p104 (forall @t195 (or (tptp.c_lessequals @t34 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t194 @t13) @t13) @t214 @t31))) % 1.72/1.98 (assume @p105 (forall @t26 (or @t9 @t215))) % 1.72/1.98 (assume @p106 (forall @t26 (or @t9 @t216))) % 1.72/1.98 (assume @p107 (forall @t10 (or @t25 @t219 @t218 @t22))) % 1.72/1.98 (assume @p108 (forall @t226 (or @t38 @t225 @t223 @t221))) % 1.72/1.98 (assume @p109 (forall @t26 (or @t38 @t227))) % 1.72/1.98 (assume @p110 (forall @t229 (or @t38 @t228))) % 1.72/1.98 (assume @p111 (forall @t87 (or @t38 (tptp.c_lessequals @t6 @t3 @t1) (not @t230) @t28))) % 1.72/1.98 (assume @p112 (forall @t10 (or @t38 @t233 @t232 @t218))) % 1.72/1.98 (assume @p113 (forall @t229 (or @t9 @t228))) % 1.72/1.98 (assume @p114 (forall @t26 (or @t9 @t227))) % 1.72/1.98 (assume @p115 (forall @t19 (= @t18 @t94))) % 1.72/1.98 (assume @p116 (forall @t26 (or @t25 @t234))) % 1.72/1.98 (assume @p117 (forall @t26 (or @t9 @t234))) % 1.72/1.98 (assume @p118 (forall @t236 (or @t235 @t129))) % 1.72/1.98 (assume @p119 (forall @t19 (or (= @t238 @t14) @t17))) % 1.72/1.98 (assume @p120 (forall @t10 (or @t9 (tptp.c_lessequals @t89 @t90 @t1)))) % 1.72/1.98 (assume @p121 (forall (@list @t68 @t1 @t58) (or (= @t138 @t139) (not (tptp.c_lessequals @t68 @t139 @t135)) (not (tptp.c_lessequals @t58 @t68 @t135))))) % 1.72/1.98 (assume @p122 (forall @t19 (tptp.c_lessequals @t57 @t15 @t13))) % 1.72/1.98 (assume @p123 (forall @t240 (= @t239 @t152))) % 1.72/1.98 (assume @p124 (forall @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t190 @t13) @t93 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t39 @t13) @t241 @t13)))) % 1.72/1.98 (assume @p125 (forall @t246 (= (tptp.c_Relation_OField (tptp.c_Set_Oinsert @t245 @t73 @t134) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t244 @t242 @t13)))) % 1.72/1.98 (assume @p126 (forall @t247 (or @t116 @t122))) % 1.72/1.98 (assume @p127 (forall @t175 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t173 @t171 @t13) @t29 @t1 @t43) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t174 @t172 @t72)))) % 1.72/1.98 (assume @p128 (forall @t249 (or (= (tptp.c_Set_Oinsert @t106 @t248 @t43) @t248) @t111))) % 1.72/1.98 (assume @p129 (forall @t115 (or @t108 @t17 @t110))) % 1.72/1.98 (assume @p130 (forall @t123 (or @t16 @t110 @t109))) % 1.72/1.98 (assume @p131 (forall @t123 (or @t16 @t109 @t110))) % 1.72/1.98 (assume @p132 (forall @t145 (or (= @t212 @t18) @t210))) % 1.72/1.98 (assume @p133 (forall @t144 (or (= @t209 @t190) @t208))) % 1.72/1.98 (assume @p134 (forall @t253 (or @t252 @t251))) % 1.72/1.98 (assume @p135 (forall @t19 (or @t254 (= @t14 @t48)))) % 1.72/1.98 (assume @p136 (forall @t19 (or @t254 @t206))) % 1.72/1.98 (assume @p137 (forall @t256 (or @t162 @t255 (= @t15 @t147)))) % 1.72/1.98 (assume @p138 (forall @t256 (or @t162 @t255 (= @t14 @t147)))) % 1.72/1.98 (assume @p139 (forall @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t237 @t15 @t13) @t257))) % 1.72/1.98 (assume @p140 (forall @t19 (= @t238 @t34))) % 1.72/1.98 (assume @p141 (forall (@list @t68 @t258 @t1 @t76 @t58 @t43) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t258 @t81) @t58 @t1 @t76 @t43) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t68 @t58 @t1 @t76 @t43) (tptp.c_Relation_Orel__comp @t258 @t58 @t1 @t76 @t43) @t72)))) % 1.72/1.98 (assume @p142 (forall (@list @t58 @t68 @t258 @t76 @t43 @t1) (= (tptp.c_Relation_Orel__comp @t58 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t258 (tptp.tc_fun @t259 tptp.tc_bool)) @t1 @t76 @t43) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t58 @t68 @t1 @t76 @t43) (tptp.c_Relation_Orel__comp @t58 @t258 @t1 @t76 @t43) @t72)))) % 1.72/1.98 (assume @p143 (forall @t156 (= (tptp.c_Relation_OField @t155 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t242 @t260 @t13)))) % 1.72/1.98 (assume @p144 (forall (@list @t43 @t15 @t14) (or (not (tptp.class_HOL_Ominus @t43)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t101) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t15 tptp.v_x) (tptp.hAPP @t14 tptp.v_x) @t43))))) % 1.72/1.98 (assume @p145 (forall (@list @t29 @t14 @t1 @t15) (or @t263 @t262))) % 1.72/1.98 (assume @p146 (forall (@list @t29 @t15 @t1 @t14) (or @t168 @t262))) % 1.72/1.98 (assume @p147 (forall @t268 (or @t25 @t267 @t266))) % 1.72/1.98 (assume @p148 (forall (@list @t1 @t3 @t124 @t131) (or @t25 @t269 @t266))) % 1.72/1.98 (assume @p149 (forall @t226 (or @t25 @t270 @t221))) % 1.72/1.98 (assume @p150 (forall @t226 (or @t25 @t270 @t223))) % 1.72/1.98 (assume @p151 (forall @t10 (or @t25 @t21 @t271))) % 1.72/1.98 (assume @p152 (forall @t272 (or @t25 @t217 @t271))) % 1.72/1.98 (assume @p153 (forall @t36 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t29 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t274 @t273 @t13)))) % 1.72/1.98 (assume @p154 (= (tptp.c_Relation_OField tptp.v_r tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain tptp.v_r tptp.t_a tptp.t_a) (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_a) @t275))) % 1.72/1.98 (assume @p155 (forall @t19 (= @t34 @t257))) % 1.72/1.98 (assume @p156 (forall @t26 (or @t38 @t277))) % 1.72/1.98 (assume @p157 (forall @t26 (or @t9 @t277))) % 1.72/1.98 (assume @p158 (forall (@list @t15 @t14 @t1 @t43) (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t72) @t1 @t43) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t97 @t96 @t13)))) % 1.72/1.98 (assume @p159 (forall @t240 (= @t152 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t148 @t15 @t13)))) % 1.72/1.98 (assume @p160 (forall (@list @t278 @t1 @t279) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t278 @t1) (tptp.c_Wellfounded_Oacc @t279 @t1) @t13) (not (tptp.c_lessequals @t279 @t278 @t135))))) % 1.72/1.98 (assume @p161 (forall @t19 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t34 @t13) @t34))) % 1.72/1.98 (assume @p162 (forall @t26 (or @t38 @t280))) % 1.72/1.98 (assume @p163 (forall @t26 (or @t9 @t280))) % 1.72/1.98 (assume @p164 (forall (@list @t1 @t45 @t43) (= @t48 @t50))) % 1.72/1.98 (assume @p165 (forall @t19 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t237 @t13) @t48))) % 1.72/1.98 (assume @p166 (forall @t133 (or @t132 (not (tptp.hBOOL (tptp.hAPP @t61 @t281))) @t129))) % 1.72/1.98 (assume @p167 (forall @t141 (= (tptp.c_Transitive__Closure_Ortrancl @t140 @t1) @t137))) % 1.72/1.98 (assume @p168 (forall @t120 (or (= @t119 (tptp.c_Set_Oinsert @t3 @t57 @t1)) @t116))) % 1.72/1.98 (assume @p169 (forall @t115 (or @t108 @t17 @t114))) % 1.72/1.98 (assume @p170 (forall @t181 (or @t180 @t283))) % 1.72/1.98 (assume @p171 (forall @t115 (or @t179 @t283))) % 1.72/1.98 (assume @p172 (forall @t36 (or @t285 (not @t284)))) % 1.72/1.98 (assume @p173 (forall @t42 (or @t284 (not @t285)))) % 1.72/1.98 (assume @p174 (forall (@list @t45 @t98 @t73 @t3 @t1 @t43) (or (not (= (tptp.hAPP @t45 @t287) (tptp.hAPP @t98 @t287))) @t286))) % 1.72/1.98 (assume @p175 (forall @t292 (or @t235 @t291))) % 1.72/1.98 (assume @p176 (forall (@list @t43 @t45 @t3 @t98 @t1) (or (not (tptp.class_HOL_Oord @t43)) (tptp.c_lessequals @t106 @t293 @t43) (not (tptp.c_lessequals @t45 @t98 (tptp.tc_fun @t1 @t43)))))) % 1.72/1.98 (assume @p177 (forall @t300 (or @t299 @t298 @t296))) % 1.72/1.98 (assume @p178 (forall (@list @t301 @t14 @t1 @t15) (or (tptp.hBOOL (tptp.c_in @t301 @t14 @t1)) (not (tptp.hBOOL (tptp.c_in @t301 @t15 @t1))) @t17))) % 1.72/1.98 (assume @p179 (forall @t247 (or @t116 @t17 @t111))) % 1.72/1.98 (assume @p180 (forall @t302 (or @t297 @t296 @t17))) % 1.72/1.98 (assume @p181 (forall @t247 (or @t116 @t111 @t17))) % 1.72/1.98 (assume @p182 (forall @t300 (or @t303 @t296))) % 1.72/1.98 (assume @p183 (forall @t300 (or @t303 @t298))) % 1.72/1.98 (assume @p184 (forall @t302 (or @t297 @t295 (not @t303)))) % 1.72/1.98 (assume @p185 (forall @t302 (or @t298 @t305))) % 1.72/1.98 (assume @p186 (forall @t306 (or @t295 @t305))) % 1.72/1.98 (assume @p187 (forall @t302 (or @t297 @t307))) % 1.72/1.98 (assume @p188 (forall @t306 (or @t295 @t307))) % 1.72/1.98 (assume @p189 (forall @t300 (or @t304 @t297 @t296))) % 1.72/1.98 (assume @p190 (forall (@list @t3 @t15 @t308 @t45 @t1) (or (not (tptp.hBOOL (tptp.c_in @t3 @t15 @t308))) (tptp.hBOOL (tptp.c_in @t106 (tptp.c_Set_Oimage @t45 @t15 @t308 @t1) @t1))))) % 1.72/1.98 (assume @p191 (forall @t310 (or @t105 @t309))) % 1.72/1.98 (assume @p192 (forall (@list @t45 @t3 @t15 @t43 @t1) (or @t309 @t105))) % 1.72/1.98 (assume @p193 (forall @t249 (or (tptp.hBOOL (tptp.c_in @t106 @t248 @t43)) @t111))) % 1.72/1.98 (assume @p194 (forall (@list @t45 @t98 @t76 @t1 @t43 @t73) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t45 @t98 @t76 @t1 @t43) @t73 @t43 @t1) (tptp.c_Set_Oimage @t45 (tptp.c_Set_Oimage @t98 @t73 @t43 @t76) @t76 @t1)))) % 1.72/1.98 (assume @p195 (forall (@list @t43 @t1 @t73 @t78) (= (tptp.hAPP @t311 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t78 @t70)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t312 (tptp.hAPP @t311 @t78) @t72)))) % 1.72/1.98 (assume @p196 (forall @t317 (or @t316 @t313))) % 1.72/1.98 (assume @p197 (forall @t236 (or @t235 (not @t316)))) % 1.72/1.98 (assume @p198 (forall @t317 (= (tptp.c_Relation_OField @t315 @t1) @t242))) % 1.72/1.98 (assume @p199 (forall @t236 (tptp.c_Relation_Oirrefl @t319 @t1))) % 1.72/1.98 (assume @p200 (forall @t240 (or (= @t239 @t15) @t211))) % 1.72/1.98 (assume @p201 (forall @t320 (or (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t112 @t13) @t15) @t110))) % 1.72/1.98 (assume @p202 (forall @t325 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t324 @t124 @t1 @t1) @t73 @t134)) @t323 @t322))) % 1.72/1.98 (assume @p203 (forall @t330 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t329 @t2 @t1 @t1) @t159 @t134)) @t328 @t327))) % 1.72/1.98 (assume @p204 (forall @t268 (or @t25 @t265 @t332 @t331))) % 1.72/1.98 (assume @p205 (forall @t26 (or @t25 @t216))) % 1.72/1.98 (assume @p206 (forall @t26 (or @t25 @t215))) % 1.72/1.98 (assume @p207 (forall @t19 (tptp.c_lessequals @t18 @t15 @t13))) % 1.72/1.98 (assume @p208 (forall @t19 (tptp.c_lessequals @t18 @t14 @t13))) % 1.72/1.98 (assume @p209 (forall @t192 (or @t261 (not @t263) @t170))) % 1.72/1.98 (assume @p210 (forall @t87 (or @t86 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t186 @t3 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t276 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1) @t1))))) % 1.72/1.98 (assume @p211 (forall @t10 (or @t86 (= @t197 @t196)))) % 1.72/1.98 (assume @p212 (forall @t42 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t190 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t41 @t13)))) % 1.72/1.98 (assume @p213 (forall @t95 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t190 @t15 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t257 @t241 @t13)))) % 1.72/1.98 (assume @p214 (forall @t334 (or @t333 @t251))) % 1.72/1.98 (assume @p215 (forall @t120 (or @t121 @t17 @t117))) % 1.72/1.98 (assume @p216 (forall @t26 (or @t9 @t335))) % 1.72/1.98 (assume @p217 (forall @t26 (or @t25 @t335))) % 1.72/1.98 (assume @p218 (forall @t19 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t18 @t13) @t18))) % 1.72/1.98 (assume @p219 (forall @t161 (or (tptp.c_lessequals @t242 @t260 @t13) @t157))) % 1.72/1.98 (assume @p220 (forall (@list @t15 @t14 @t43 @t1) (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t70) @t43 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t127 @t126 @t13)))) % 1.72/1.98 (assume @p221 (forall @t83 (or @t25 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t1) @t3)))) % 1.72/1.98 (assume @p222 (forall @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t15 @t13) @t15))) % 1.72/1.98 (assume @p223 (forall @t236 (= @t242 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t337 @t336 @t13)))) % 1.72/1.98 (assume @p224 (forall @t87 (or @t38 @t231 @t338))) % 1.72/1.98 (assume @p225 (forall @t272 (or @t38 @t217 @t338))) % 1.72/1.98 (assume @p226 (forall @t268 (or @t38 @t339 @t332))) % 1.72/1.98 (assume @p227 (forall @t268 (or @t38 @t339 @t331))) % 1.72/1.98 (assume @p228 (forall (@list @t1 @t124 @t3 @t131) (or @t38 @t222 @t340))) % 1.72/1.98 (assume @p229 (forall (@list @t1 @t131 @t3 @t124) (or @t38 @t220 @t340))) % 1.72/1.98 (assume @p230 (forall @t198 (or @t30 @t341))) % 1.72/1.98 (assume @p231 (forall @t95 (or @t32 @t341))) % 1.72/1.98 (assume @p232 (forall @t103 (or @t102 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t45 @t98 @t101) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t100 @t99 @t43))))) % 1.72/1.98 (assume @p233 (forall (@list @t1 @t2 @t3 @t5) (or @t203 @t230 (not (tptp.c_lessequals @t2 @t5 @t1)) @t28))) % 1.72/1.98 (assume @p234 (forall @t272 (or @t342 @t217 @t232 @t22))) % 1.72/1.98 (assume @p235 (forall @t343 (tptp.c_lessequals @t3 @t3 @t13))) % 1.72/1.98 (assume @p236 (forall @t84 (tptp.c_lessequals @t15 @t15 @t13))) % 1.72/1.98 (assume @p237 (forall @t198 (or @t30 @t33 @t17))) % 1.72/1.98 (assume @p238 (forall @t349 (or @t348 @t347 @t345))) % 1.72/1.98 (assume @p239 (forall (@list @t350 @t1 @t73) (or (tptp.c_Wellfounded_Owf @t350 @t1) (not (tptp.c_lessequals @t350 @t73 @t135)) @t129))) % 1.72/1.98 (assume @p240 (forall @t83 (or @t203 @t351))) % 1.72/1.98 (assume @p241 (forall @t83 (or @t342 @t351))) % 1.72/1.98 (assume @p242 (forall @t161 (or @t352 (not (tptp.c_Relation_Oantisym @t78 @t1)) @t157))) % 1.72/1.98 (assume @p243 (forall @t349 (or @t348 @t345 @t347))) % 1.72/1.98 (assume @p244 (forall @t161 (or @t235 @t157 (not (tptp.c_Wellfounded_Oacyclic @t78 @t1))))) % 1.72/1.98 (assume @p245 (forall @t355 (or @t354 (not (tptp.c_Relation_Osingle__valued @t78 @t1 @t43)) @t353))) % 1.72/1.98 (assume @p246 (forall (@list @t45 @t15 @t43 @t1) (or (not (= @t47 @t48)) @t142))) % 1.72/1.98 (assume @p247 (forall @t195 (or (tptp.c_lessequals @t18 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t194 @t13) @t13) @t214 @t31))) % 1.72/1.98 (assume @p248 (forall @t42 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t39 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t274 @t13)))) % 1.72/1.98 (assume @p249 (forall @t36 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t29 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t273 @t13)))) % 1.72/1.98 (assume @p250 (forall @t355 (or (tptp.c_lessequals @t356 (tptp.c_Relation_ODomain @t78 @t1 @t43) @t13) @t353))) % 1.72/1.98 (assume @p251 (forall (@list @t15 @t3 @t1) (or (= @t15 @t112) @t206 (not (tptp.c_lessequals @t15 @t112 @t13))))) % 1.72/1.98 (assume @p252 (forall @t42 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t190 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t274 @t13)))) % 1.72/1.98 (assume @p253 (forall @t123 (or @t282 @t182 @t183))) % 1.72/1.98 (assume @p254 (forall (@list @t14 @t29 @t15 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t14 (tptp.c_HOL_Ominus__class_Ominus @t29 @t15 @t13) @t13) @t15) @t33 @t17))) % 1.72/1.98 (assume @p255 (forall @t360 (or @t359 @t358 @t357 @t28))) % 1.72/1.98 (assume @p256 (forall @t360 (or @t359 @t358 @t27 (not @t357)))) % 1.72/1.98 (assume @p257 (forall (@list @t45 @t15 @t1 @t43 @t14) (or (tptp.c_lessequals @t248 (tptp.c_Set_Oimage @t45 @t14 @t1 @t43) @t44) @t17))) % 1.72/1.98 (assume @p258 (forall @t310 (or (not (tptp.c_lessequals @t3 @t15 @t44)) (tptp.c_lessequals (tptp.c_Set_Oimage @t45 @t3 @t43 @t1) @t47 @t13)))) % 1.72/1.98 (assume @p259 (forall (@list @t131 @t29 @t1 @t194) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t131 @t29 @t1) (tptp.c_Set_Oinsert @t131 @t194 @t1) @t13) (not (tptp.c_lessequals @t29 @t194 @t13))))) % 1.72/1.98 (assume @p260 (forall @t207 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t48 @t13) @t48))) % 1.72/1.98 (assume @p261 (forall @t165 (= (tptp.c_Set_Oimage @t45 @t66 @t43 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t46 @t13)))) % 1.72/1.98 (assume @p262 (forall (@list @t74 @t361 @t1 @t43 @t73 @t15) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t74 @t361 @t1 @t43) @t362 @t44) (not (tptp.c_lessequals @t361 @t15 @t13)) @t75))) % 1.72/1.98 (assume @p263 (forall @t229 (or (not (tptp.class_Orderings_Olinorder @t1)) @t27 @t21))) % 1.72/1.98 (assume @p264 (forall @t334 (or @t363 @t251))) % 1.72/1.98 (assume @p265 (forall @t366 (or @t290 @t365 @t313))) % 1.72/1.98 (assume @p266 (forall @t368 (or @t367 @t291))) % 1.72/1.98 (assume @p267 (forall @t373 (or @t132 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t372 @t371 @t1 @t1) @t73 @t134)) @t370 @t322))) % 1.72/1.98 (assume @p268 (forall @t377 (or @t369 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t376 @t375 @t1 @t1) @t73 @t134)) @t374 @t322))) % 1.72/1.98 (assume @p269 (forall @t247 (or @t117 @t111 @t104))) % 1.72/1.98 (assume @p270 (forall (@list @t344 @t73 @t1 @t56) (or (tptp.hBOOL (tptp.c_in @t379 @t344 @t1)) @t378 @t129))) % 1.72/1.98 (assume @p271 (forall (@list @t344 @t58 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t381 @t344 @t1)) @t380 @t60))) % 1.72/1.98 (assume @p272 (forall @t292 (or @t128 @t383))) % 1.72/1.98 (assume @p273 (forall @t387 (or (tptp.hBOOL (tptp.c_in @t386 @t15 @t43)) @t385))) % 1.72/1.98 (assume @p274 (forall (@list @t294 @t1 @t43) (= (tptp.c_Set_Oimage @t388 @t49 @t43 @t1) @t48))) % 1.72/1.98 (assume @p275 (forall @t390 (or @t389 (not (tptp.hBOOL (tptp.c_in @t3 @t139 @t134)))))) % 1.72/1.98 (assume @p276 (forall @t390 (or @t389 (not (tptp.hBOOL (tptp.c_in @t3 @t138 @t134)))))) % 1.72/1.98 (assume @p277 (forall (@list @t350 @t78 @t1 @t73) (or (tptp.hBOOL (tptp.c_in @t350 (tptp.c_Transitive__Closure_Otrancl @t78 @t1) @t134)) @t157 (not @t392)))) % 1.72/1.98 (assume @p278 (forall @t133 (or @t132 (not (tptp.hBOOL (tptp.hAPP @t61 @t396))) @t395))) % 1.72/1.98 (assume @p279 (forall @t400 (or @t346 (not (tptp.hBOOL (tptp.hAPP @t61 @t399))) @t398))) % 1.72/1.98 (assume @p280 (forall @t133 (or @t132 (tptp.hBOOL (tptp.c_in @t401 @t393 @t1)) @t395))) % 1.72/1.98 (assume @p281 (forall @t405 (or (not (tptp.hBOOL (tptp.c_in @t404 @t402 @t1))) @t403))) % 1.72/1.98 (assume @p282 (forall @t133 (or @t132 (not (tptp.hBOOL (tptp.hAPP @t61 @t401))) @t395))) % 1.72/1.98 (assume @p283 (forall @t400 (or @t346 (not (tptp.hBOOL (tptp.hAPP @t61 @t406))) @t398))) % 1.72/1.98 (assume @p284 (forall @t409 (or @t408 (not (tptp.hBOOL (tptp.c_in @t407 @t393 @t1)))))) % 1.72/1.98 (assume @p285 (forall @t133 (or @t132 (tptp.hBOOL (tptp.c_in @t396 @t393 @t1)) @t395))) % 1.72/1.98 (assume @p286 (forall @t141 (or @t411 (not @t176)))) % 1.72/1.98 (assume @p287 (forall @t177 (or @t176 (not @t411)))) % 1.72/1.98 (assume @p288 (forall @t161 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t337 (tptp.c_Relation_ORange @t78 @t1 @t1) @t13) @t48)) (not (tptp.c_Wellfounded_Owf @t78 @t1)) @t129 (tptp.c_Wellfounded_Owf @t155 @t1)))) % 1.72/1.98 (assume @p289 (forall @t236 (= @t391 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 (tptp.c_Relation_Orel__comp @t391 @t73 @t1 @t1 @t1) @t135)))) % 1.72/1.98 (assume @p290 (forall @t412 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t139 @t318 @t135) @t139))) % 1.72/1.98 (assume @p291 (forall @t412 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t318 @t135) @t1) @t139))) % 1.72/1.98 (assume @p292 (forall @t236 (= (tptp.c_Transitive__Closure_Ortrancl @t319 @t1) @t159))) % 1.72/1.98 (assume @p293 (forall @t236 (or (tptp.c_Relation_Oantisym @t159 @t1) @t313))) % 1.72/1.98 (assume @p294 (forall @t236 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t73 @t73 @t1 @t1 @t1) @t73 @t135) @t413))) % 1.72/1.98 (assume @p295 (forall @t236 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t73 @t315 @t135) @t1))) % 1.72/1.98 (assume @p296 (forall @t236 (or (tptp.c_Relation_Otrans @t414 @t1) @t413))) % 1.72/1.98 (assume @p297 (forall (@list @t15 @t1 @t14) (= (tptp.c_Relation_OImage @t415 @t14 @t1 @t1) @t18))) % 1.72/1.98 (assume @p298 (forall @t236 (or @t352 (not @t416)))) % 1.72/1.98 (assume @p299 (forall @t236 (or @t416 @t417))) % 1.72/1.98 (assume @p300 (forall @t253 (or @t252 (not @t418)))) % 1.72/1.98 (assume @p301 (forall @t253 (or @t418 @t419))) % 1.72/1.98 (assume @p302 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t329 @t1 @t1) @t73 @t134)) @t328 @t327))) % 1.72/1.98 (assume @p303 (forall @t373 (or @t132 (tptp.hBOOL (tptp.hAPP @t61 @t371)) @t370 @t322))) % 1.72/1.98 (assume @p304 (forall @t373 (or @t132 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t371 @t124 @t1 @t1) @t159 @t134)) @t370 @t322))) % 1.72/1.98 (assume @p305 (forall @t377 (or @t369 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t376 @t1 @t1) @t159 @t134)) @t374 @t322))) % 1.72/1.98 (assume @p306 (forall @t377 (or @t369 (not (tptp.hBOOL (tptp.hAPP @t61 @t375))) @t374 @t322))) % 1.72/1.98 (assume @p307 (forall @t429 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t424 @t428 tptp.t_a tptp.t_a) @t422 @t421)) @t427 @t426))) % 1.72/1.98 (assume @p308 (forall @t377 (or @t369 (tptp.hBOOL (tptp.hAPP @t61 @t376)) @t374 @t322))) % 1.72/1.98 (assume @p309 (forall @t429 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t428 @t423 tptp.t_a tptp.t_a) @t73 @t421)) @t427 @t426))) % 1.72/1.98 (assume @p310 (forall @t373 (or @t132 (not (tptp.hBOOL (tptp.hAPP @t61 @t372))) @t370 @t322))) % 1.72/1.98 (assume @p311 (forall @t325 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t324 @t1 @t1) @t159 @t134)) @t323 @t322))) % 1.72/1.98 (assume @p312 (forall @t431 (or @t132 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t281 @t1 @t1) @t73 @t134))) @t129))) % 1.72/1.98 (assume @p313 (forall (@list @t61 @t56 @t5 @t73 @t1) (or (tptp.hBOOL (tptp.hAPP @t61 @t56)) @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t199 @t1 @t1) @t73 @t134))) @t129))) % 1.72/1.98 (assume @p314 (forall (@list @t61 @t432 @t5 @t58 @t1) (or (tptp.hBOOL (tptp.hAPP @t61 @t432)) @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t62 @t1 @t1) @t58 @t134))) @t60))) % 1.72/1.98 (assume @p315 (forall @t431 (or @t132 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t130 @t1 @t1) @t73 @t134))) @t129))) % 1.72/1.98 (assume @p316 (forall @t437 (or @t436 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t433 @t433 @t1 @t1) @t391 @t134))))) % 1.72/1.98 (assume @p317 (forall @t330 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t441 @t2 @t1 @t1) @t391 @t134)) @t440 @t439))) % 1.72/1.98 (assume @p318 (forall @t446 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t445 @t1 @t1) @t58 @t134)) @t444))) % 1.72/1.98 (assume @p319 (forall @t429 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t424 @t450 tptp.t_a tptp.t_a) @t447 @t421)) @t449 @t448))) % 1.72/1.98 (assume @p320 (forall @t437 (or (not (tptp.hBOOL (tptp.c_in @t434 @t391 @t134))) @t313))) % 1.72/1.98 (assume @p321 (forall @t325 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t454 @t124 @t1 @t1) @t73 @t134)) @t453 @t452))) % 1.72/1.98 (assume @p322 (forall @t325 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t454 @t1 @t1) @t391 @t134)) @t453 @t452))) % 1.72/1.98 (assume @p323 (forall @t456 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t455 @t5 @t1 @t1) @t58 @t134)) @t444))) % 1.72/1.98 (assume @p324 (forall @t420 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t441 @t1 @t1) @t73 @t134)) @t440 @t439))) % 1.72/1.98 (assume @p325 (forall @t429 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t450 @t423 tptp.t_a tptp.t_a) @t73 @t421)) @t449 @t448))) % 1.72/1.98 (assume @p326 (forall (@list @t294 @t1 @t43 @t15) (or (= (tptp.c_Set_Oimage @t388 @t15 @t43 @t1) (tptp.c_Set_Oinsert @t294 @t48 @t1)) @t142))) % 1.72/1.98 (assume @p327 (forall @t459 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t458 @t294 @t76 @t43) @t78 @t259)) @t457))) % 1.72/1.98 (assume @p328 (forall @t459 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t458 @t1 @t76) @t73 @t80)) @t457))) % 1.72/1.98 (assume @p329 (forall (@list @t350 @t1) (or (= @t350 (tptp.c_Pair @t460 @t460 @t1 @t1)) (not (tptp.hBOOL (tptp.c_in @t350 @t318 @t134)))))) % 1.72/1.98 (assume @p330 (forall @t462 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t461 @t73 @t71) @t1 @t43) (tptp.c_Set_Oinsert @t131 @t356 @t1)))) % 1.72/1.98 (assume @p331 (forall (@list @t15 @t1 @t58) (or @t206 (not (tptp.c_lessequals @t15 (tptp.c_Relation_OImage @t58 @t15 @t1 @t1) @t13)) @t60))) % 1.72/1.98 (assume @p332 (forall @t465 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t464 @t73 @t69) @t43 @t1) (tptp.c_Set_Oinsert @t124 @t463 @t1)))) % 1.72/1.98 (assume @p333 (forall @t236 (or @t128 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t73 @t1) @t393 @t1)))))) % 1.72/1.98 (assume @p334 (forall @t236 (or @t128 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t73 @t1) @t393 @t1)))))) % 1.72/1.98 (assume @p335 (forall (@list @t15 @t294 @t1) (or (tptp.hBOOL (tptp.c_in @t467 @t15 @t1)) @t466))) % 1.72/1.98 (assume @p336 (forall (@list @t294 @t15 @t1) (or (= @t294 (tptp.c_Pair @t467 @t467 @t1 @t1)) @t466))) % 1.72/1.98 (assume @p337 (forall (@list @t45 @t73 @t3 @t1 @t43 @t98) (or @t286 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t287 @t3 @t1 @t1) @t73 @t134))))) % 1.72/1.98 (assume @p338 (forall @t236 (= @t468 @t159))) % 1.72/1.98 (assume @p339 (forall @t236 (= (tptp.c_Transitive__Closure_Otrancl @t414 @t1) @t159))) % 1.72/1.98 (assume @p340 (forall @t236 (= @t159 @t468))) % 1.72/1.98 (assume @p341 (forall @t236 (= @t159 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t318 @t469 @t135)))) % 1.72/1.98 (assume @p342 (forall @t334 (or (tptp.c_lessequals @t73 @t470 @t135) @t185))) % 1.72/1.98 (assume @p343 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.hAPP (tptp.c_Relation_Oconverse tptp.t_a tptp.t_b) tptp.v_r) tptp.t_b tptp.t_a))) % 1.72/1.98 (assume @p344 (forall @t236 (or @t363 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t471 @t471 @t1 @t1) @t73 @t134))))) % 1.72/1.98 (assume @p345 (forall @t67 (or (= @t167 @t166) (not (tptp.c_Relation_Osingle__valued (tptp.hAPP @t311 @t58) @t1 @t43))))) % 1.72/1.98 (assume @p346 (forall @t236 (or (tptp.c_Relation_Otrans @t319 @t1) @t417 @t413))) % 1.72/1.98 (assume @p347 (forall @t236 (or @t473 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t472 @t472 @t1 @t1) @t73 @t134)))))) % 1.72/1.98 (assume @p348 (forall @t253 (or @t250 @t419 @t474 @t413))) % 1.72/1.98 (assume @p349 (forall (@list @t5 @t344 @t1 @t58 @t3) (or @t475 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t381 @t1 @t1) @t58 @t134))) @t380 @t60))) % 1.72/1.98 (assume @p350 (forall (@list @t5 @t344 @t1 @t73 @t56) (or @t475 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t379 @t1 @t1) @t73 @t134))) @t378 @t129))) % 1.72/1.98 (assume @p351 (forall (@list @t45 @t131 @t124 @t1 @t43 @t76 @t15) (or (tptp.hBOOL (tptp.c_in @t477 (tptp.c_Set_Oimage @t476 @t15 @t71 @t76) @t76)) (not (tptp.hBOOL (tptp.c_in @t461 @t15 @t71)))))) % 1.72/1.98 (assume @p352 (forall @t387 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t386 @t124 @t43 @t1) @t73 @t69)) @t385))) % 1.72/1.98 (assume @p353 (forall (@list @t294 @t43 @t1 @t15 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t294 @t43 @t1) @t15 @t1 @t43) (tptp.c_Set_Oinsert @t294 @t49 @t43)) @t111))) % 1.72/1.98 (assume @p354 (forall @t480 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t131 @t73 @t1 @t43) @t1 @t43) @t73 @t71)) @t479))) % 1.72/1.98 (assume @p355 (forall @t480 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t131 @t73 @t1 @t43) @t1 @t43) @t73 @t71)) @t479))) % 1.72/1.98 (assume @p356 (forall @t405 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t404 @t3 @t1 @t1) @t58 @t134)) @t403))) % 1.72/1.98 (assume @p357 (forall @t431 (or @t132 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t401 @t1 @t1) @t73 @t134))) @t395))) % 1.72/1.98 (assume @p358 (forall @t481 (or @t346 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t406 tptp.t_a tptp.t_a) @t73 @t421))) @t398))) % 1.72/1.98 (assume @p359 (forall @t409 (or @t408 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t407 @t3 @t1 @t1) @t73 @t134))))) % 1.72/1.98 (assume @p360 (forall @t484 (or @t346 @t483 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t482 @t399 tptp.t_a tptp.t_a) @t73 @t421))) @t398))) % 1.72/1.98 (assume @p361 (forall @t481 (or @t346 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t399 tptp.t_a tptp.t_a) @t73 @t421))) @t398))) % 1.72/1.98 (assume @p362 (forall @t484 (or @t346 @t483 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t482 @t406 tptp.t_a tptp.t_a) @t73 @t421))) @t398))) % 1.72/1.98 (assume @p363 (forall @t431 (or @t132 @t430 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t396 @t1 @t1) @t73 @t134))) @t395))) % 1.72/1.98 (assume @p364 (forall @t368 (or @t367 @t383))) % 1.72/1.98 (assume @p365 (forall @t366 (or @t382 @t365 @t129))) % 1.72/1.98 (assume @p366 (forall (@list @t124 @t73 @t1 @t43) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t124 @t73 @t1 @t43) @t124 @t43 @t1) @t73 @t69)) (not (tptp.hBOOL (tptp.c_in @t124 @t463 @t1)))))) % 1.72/1.98 (assume @p367 (forall @t446 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t455 @t1 @t1) @t139 @t134)) @t444))) % 1.72/1.98 (assume @p368 (forall @t456 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t445 @t5 @t1 @t1) @t139 @t134)) @t444))) % 1.72/1.98 (assume @p369 (forall @t317 (or (tptp.c_lessequals @t470 @t73 @t135) @t413 @t154))) % 1.72/1.98 (assume @p370 (forall @t492 (or @t491 @t489 @t487 @t111 @t485))) % 1.72/1.98 (assume @p371 (forall @t492 (or (not @t491) @t487 @t111 @t485 @t488))) % 1.72/1.98 (assume @p372 (forall @t496 (or (tptp.c_lessequals @t495 @t494 @t13) @t493 @t485))) % 1.72/1.98 (assume @p373 (forall (@list @t73 @t131 @t1 @t124) (or @t498 (not (tptp.hBOOL (tptp.c_in @t124 @t242 @t1))) (not (tptp.hBOOL (tptp.c_in @t131 @t242 @t1))) @t417 (not (tptp.c_Relation_Orefl__on @t242 @t73 @t1)) @t323))) % 1.72/1.98 (assume @p374 (forall (@list @t131 @t124 @t1 @t73 @t15) (or @t453 @t499 (not (tptp.c_lessequals @t494 @t495 @t13)) @t485))) % 1.72/1.98 (assume @p375 (forall (@list @t131 @t124 @t1 @t73 @t3 @t15) (or @t453 (not (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t495 @t494 @t13) @t1))) @t485))) % 1.72/1.98 (assume @p376 (forall @t465 (or @t501 (not @t500)))) % 1.72/1.98 (assume @p377 (forall (@list @t131 @t73 @t1 @t15) (or (tptp.hBOOL (tptp.c_in @t131 @t495 @t1)) @t211 @t485))) % 1.72/1.98 (assume @p378 (forall @t343 (tptp.hBOOL (tptp.c_in @t3 @t112 @t1)))) % 1.72/1.98 (assume @p379 (forall (@list @t124 @t131 @t1) (or (= @t124 @t131) (not (tptp.hBOOL (tptp.c_in @t124 @t148 @t1)))))) % 1.72/1.98 (assume @p380 (forall (@list @t3 @t56 @t1) (or (not (= (tptp.c_Set_Oinsert @t3 @t56 @t1) @t48)) (tptp.hBOOL (tptp.c_in @t3 @t56 @t1))))) % 1.72/1.98 (assume @p381 (forall @t320 (tptp.hBOOL (tptp.hAPP @t118 @t3)))) % 1.72/1.98 (assume @p382 (forall (@list @t1 @t131 @t15) (not (= @t48 @t152)))) % 1.72/1.98 (assume @p383 (forall @t506 (or @t505 @t504 @t503))) % 1.72/1.98 (assume @p384 (forall @t506 (or @t505 @t507 @t503))) % 1.72/1.98 (assume @p385 (forall @t506 (or @t505 @t504 @t508))) % 1.72/1.98 (assume @p386 (forall @t506 (or @t505 @t507 @t508))) % 1.72/1.98 (assume @p387 (forall (@list @t15 @t3 @t5 @t1) (or @t179 @t511 (not @t510)))) % 1.72/1.98 (assume @p388 (forall @t320 (= (tptp.c_Set_Oinsert @t3 @t118 @t1) @t118))) % 1.72/1.98 (assume @p389 (forall @t240 (not (= @t152 @t48)))) % 1.72/1.98 (assume @p390 (forall (@list @t3 @t5 @t15 @t1) (= (tptp.c_Set_Oinsert @t3 @t509 @t1) (tptp.c_Set_Oinsert @t5 @t118 @t1)))) % 1.72/1.98 (assume @p391 (forall (@list @t56 @t3 @t1) (= (tptp.c_Set_Oinsert @t56 @t112 @t1) (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oinsert @t56 @t48 @t1) @t1)))) % 1.72/1.98 (assume @p392 (forall (@list @t131 @t1 @t124) (or (not (= @t148 @t243)) @t323))) % 1.72/1.98 (assume @p393 (forall (@list @t5 @t15 @t1 @t3) (or @t510 @t183))) % 1.72/1.98 (assume @p394 (forall (@list @t131 @t124 @t15 @t1) (or @t512 @t211))) % 1.72/1.98 (assume @p395 (forall (@list @t131 @t124 @t14 @t1) (or (tptp.hBOOL (tptp.c_in @t131 @t125 @t1)) (not (tptp.hBOOL (tptp.c_in @t131 @t14 @t1)))))) % 1.72/1.98 (assume @p396 (forall (@list @t131 @t15 @t1 @t124) (or @t210 @t323 (not @t512)))) % 1.72/1.98 (assume @p397 (forall @t320 (tptp.hBOOL (tptp.c_in @t3 @t118 @t1)))) % 1.72/1.98 (assume @p398 (forall (@list @t131 @t14 @t1) (tptp.hBOOL (tptp.c_in @t131 @t143 @t1)))) % 1.72/1.98 (assume @p399 (forall (@list @t3 @t14 @t1) (tptp.hBOOL (tptp.c_in @t3 @t107 @t1)))) % 1.72/1.98 (assume @p400 (forall @t120 (or (not (= @t118 @t107)) @t116 @t110 @t201))) % 1.72/1.98 (assume @p401 (forall @t240 (or (= @t152 @t15) @t211))) % 1.72/1.98 (assume @p402 (forall (@list @t124 @t73 @t131 @t43 @t1) (or @t500 (not @t501)))) % 1.72/1.98 (assume @p403 (forall @t496 (or @t497 @t493 @t485))) % 1.72/1.98 (assume @p404 (forall @t514 (or @t513 @t489 @t485))) % 1.72/1.98 (assume @p405 (forall @t514 (or @t515 @t487 @t111 @t485 @t488))) % 1.72/1.98 (assume @p406 (forall @t514 (or @t513 @t489 @t487 @t111 @t485))) % 1.72/1.98 (assume @p407 (forall @t514 (or @t515 @t485 @t488 @t487 @t111))) % 1.72/1.98 (assume @p408 (forall @t496 (or @t498 @t453 @t499 @t485))) % 1.72/1.98 (assume @p409 (forall (@list @t3 @t58 @t1) (or @t517 @t516))) % 1.72/1.98 (assume @p410 (forall @t521 (or @t520 @t519 @t395))) % 1.72/1.98 (assume @p411 (forall @t521 (or @t520 @t395 @t519))) % 1.72/1.98 (assume @p412 (forall @t236 (or @t153 (not @t522)))) % 1.72/1.98 (assume @p413 (forall @t317 (or @t522 @t154))) % 1.72/1.98 (assume @p414 (forall @t253 (or @t184 (not @t523)))) % 1.72/1.98 (assume @p415 (forall @t524 (or @t523 @t185))) % 1.72/1.98 (assume @p416 (forall @t317 (or @t525 @t154))) % 1.72/1.98 (assume @p417 (forall @t317 (or (not @t525) @t153))) % 1.72/1.98 (assume @p418 (forall (@list @t43 @t1 @t73 @t78 @t76) (= (tptp.hAPP @t311 (tptp.c_Relation_Orel__comp @t73 @t78 @t43 @t76 @t1)) (tptp.c_Relation_Orel__comp (tptp.hAPP (tptp.c_Relation_Oconverse @t76 @t1) @t78) (tptp.hAPP (tptp.c_Relation_Oconverse @t43 @t76) @t73) @t1 @t76 @t43)))) % 1.72/1.98 (assume @p419 (forall @t236 (or @t333 (not @t526)))) % 1.72/1.98 (assume @p420 (forall @t317 (or @t526 @t413))) % 1.72/1.98 (assume @p421 (forall @t207 (= (tptp.hAPP @t314 @t318) @t318))) % 1.72/1.98 (assume @p422 (forall (@list @t1 @t58 @t45 @t43) (= (tptp.hAPP @t314 (tptp.c_Relation_Oinv__image @t58 @t45 @t43 @t1)) (tptp.c_Relation_Oinv__image (tptp.hAPP (tptp.c_Relation_Oconverse @t43 @t43) @t58) @t45 @t43 @t1)))) % 1.72/1.98 (assume @p423 (forall @t317 (= @t528 @t527))) % 1.72/1.98 (assume @p424 (forall @t146 (= (tptp.hAPP @t314 @t415) @t415))) % 1.72/1.98 (assume @p425 (forall @t236 (or @t352 (not @t529)))) % 1.72/1.98 (assume @p426 (forall @t317 (or @t529 @t417))) % 1.72/1.98 (assume @p427 (forall @t317 (= @t530 (tptp.hAPP @t314 @t159)))) % 1.72/1.98 (assume @p428 (forall @t253 (or @t252 (not @t531)))) % 1.72/1.98 (assume @p429 (forall @t524 (or @t531 @t419))) % 1.72/1.98 (assume @p430 (forall @t533 (or (tptp.hBOOL (tptp.c_in @t350 @t159 @t134)) @t532))) % 1.72/1.98 (assume @p431 (forall @t533 (or @t392 @t532))) % 1.72/1.98 (assume @p432 (forall @t538 (or @t537 @t535 @t493))) % 1.72/1.98 (assume @p433 (forall @t538 (or @t537 @t539 @t322))) % 1.72/1.98 (assume @p434 (forall @t541 (or @t540 @t444 @t202))) % 1.72/1.98 (assume @p435 (forall @t541 (or @t443 @t202 @t542))) % 1.72/1.98 (assume @p436 (forall (@list @t131 @t124 @t1 @t58) (or (tptp.hBOOL (tptp.c_in @t245 @t442 @t134)) @t323 (not (tptp.hBOOL (tptp.c_in @t245 @t139 @t134)))))) % 1.72/1.98 (assume @p437 (forall (@list @t2 @t5 @t1 @t73 @t3) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t2 @t5 @t1 @t1) @t159 @t134)) (tptp.hBOOL (tptp.c_in @t543 @t159 @t134)) @t327 @t367 (not (tptp.c_Relation_Osingle__valued @t73 @t1 @t1))))) % 1.72/1.98 (assume @p438 (forall @t246 (or @t321 @t452))) % 1.72/1.98 (assume @p439 (forall @t538 (or @t537 @t535 @t452))) % 1.72/1.98 (assume @p440 (forall @t544 (or @t438 (not (tptp.hBOOL (tptp.c_in @t543 @t391 @t134))) @t367))) % 1.72/1.98 (assume @p441 (forall (@list @t45 @t43 @t76 @t1 @t131 @t124) (= (tptp.hAPP (tptp.c_split @t45 @t43 @t76 @t1) @t545) @t477))) % 1.72/1.98 (assume @p442 (forall (@list @t45 @t1 @t43 @t76 @t131 @t124) (= (tptp.hAPP @t476 @t461) @t477))) % 1.72/1.98 (assume @p443 (forall (@list @t58 @t131 @t124 @t294 @t1 @t43 @t76) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t58 @t131) @t124) @t294)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t58 @t1 @t43 (tptp.tc_fun @t76 tptp.tc_bool)) @t461) @t294)))))) % 1.72/1.98 (assume @p444 (forall @t547 (or @t347 @t546))) % 1.72/1.98 (assume @p445 (forall @t548 (not (tptp.hBOOL (tptp.c_in @t131 @t48 @t1))))) % 1.72/1.98 (assume @p446 (forall (@list @t294 @t1) (not (tptp.hBOOL (tptp.c_in @t294 @t48 @t1))))) % 1.72/1.98 (assume @p447 (forall @t547 (or @t346 @t546))) % 1.72/1.98 (assume @p448 (forall @t343 @t546)) % 1.72/1.98 (assume @p449 (forall @t409 (or @t408 @t129))) % 1.72/1.98 (assume @p450 (forall @t84 (tptp.c_Relation_Osingle__valued @t415 @t1 @t1))) % 1.72/1.98 (assume @p451 (forall @t236 (or (tptp.c_Relation_Osym @t391 @t1) @t154))) % 1.72/1.98 (assume @p452 (forall @t236 (or (= @t391 @t73) @t413))) % 1.72/1.98 (assume @p453 (forall @t236 (= (tptp.c_Relation_ODomain @t391 @t1 @t1) @t337))) % 1.72/1.98 (assume @p454 (forall @t387 (or (tptp.hBOOL (tptp.c_in @t549 @t15 @t43)) @t385))) % 1.72/1.98 (assume @p455 (forall @t207 (tptp.c_Relation_Osym @t318 @t1))) % 1.72/1.98 (assume @p456 (forall @t84 (tptp.c_Relation_Otrans @t415 @t1))) % 1.72/1.98 (assume @p457 (forall (@list @t1 @t58 @t43) (= (tptp.c_Relation_Orel__comp @t318 @t58 @t1 @t1 @t43) @t58))) % 1.72/1.98 (assume @p458 (forall @t550 (= (tptp.c_Relation_Orel__comp @t58 (tptp.c_Relation_OId @t43) @t1 @t43 @t43) @t58))) % 1.72/1.98 (assume @p459 (forall @t84 (tptp.c_Relation_Oantisym @t415 @t1))) % 1.72/1.98 (assume @p460 (forall @t317 (or (tptp.c_Wellfounded_Owf @t527 @t1) (not (tptp.c_Wellfounded_Owf @t315 @t1))))) % 1.72/1.98 (assume @p461 (forall @t236 (or (tptp.c_Relation_Osym @t159 @t1) @t154))) % 1.72/1.98 (assume @p462 (forall @t412 (or @t551 @t60))) % 1.72/1.98 (assume @p463 (forall @t412 (or @t59 (not @t551)))) % 1.72/1.98 (assume @p464 (forall @t146 (= (tptp.c_Relation_OImage @t318 @t15 @t1 @t1) @t15))) % 1.72/1.98 (assume @p465 (forall @t207 (tptp.c_Relation_Osingle__valued @t318 @t1 @t1))) % 1.72/1.98 (assume @p466 (forall (@list @t61 @t1 @t43 @t344) (= (tptp.hAPP (tptp.c_COMBK @t61 @t1 @t43) @t344) @t61))) % 1.72/1.98 (assume @p467 (forall @t84 (= (tptp.c_Relation_ODomain @t415 @t1 @t1) @t15))) % 1.72/1.98 (assume @p468 (forall @t236 (= (tptp.c_Relation_ORange @t391 @t1 @t1) @t336))) % 1.72/1.98 (assume @p469 (forall @t236 (tptp.c_Relation_Otrans @t391 @t1))) % 1.72/1.98 (assume @p470 (forall @t84 (tptp.c_Relation_Osym @t415 @t1))) % 1.72/1.98 (assume @p471 (forall @t84 (tptp.c_Relation_Orefl__on @t15 @t415 @t1))) % 1.72/1.98 (assume @p472 (forall @t553 (or (tptp.c_Wellfounded_Owf @t552 @t43) @t129))) % 1.72/1.98 (assume @p473 (forall @t236 (= @t554 @t469))) % 1.72/1.98 (assume @p474 (forall (@list @t43) (or (not (tptp.class_Orderings_Obot @t43)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t101) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t43))))) % 1.72/1.98 (assume @p475 (forall @t553 (or (tptp.c_Relation_Osym @t552 @t43) @t154))) % 1.72/1.98 (assume @p476 (forall @t412 (= (tptp.c_Transitive__Closure_Otrancl @t139 @t1) @t139))) % 1.72/1.98 (assume @p477 (forall @t236 (tptp.c_Relation_Otrans @t159 @t1))) % 1.72/1.98 (assume @p478 (forall @t236 (or (tptp.c_Wellfounded_Owf @t391 @t1) @t129))) % 1.72/1.98 (assume @p479 (forall @t550 (= (tptp.c_Relation_OImage @t58 @t49 @t43 @t1) @t48))) % 1.72/1.98 (assume @p480 (forall (@list @t58 @t68 @t1 @t555 @t76 @t258 @t43) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t58 @t68 @t1 @t555 @t76) @t258 @t1 @t76 @t43) (tptp.c_Relation_Orel__comp @t58 (tptp.c_Relation_Orel__comp @t68 @t258 @t555 @t76 @t43) @t1 @t555 @t43)))) % 1.72/1.98 (assume @p481 (forall @t553 (or (tptp.c_Relation_Otrans @t552 @t43) @t413))) % 1.72/1.98 (assume @p482 (forall @t317 (or (not @t556) (tptp.c_Equiv__Relations_Oequiv @t337 @t73 @t1)))) % 1.72/1.98 (assume @p483 (forall @t207 (tptp.c_Relation_Oantisym @t318 @t1))) % 1.72/1.98 (assume @p484 (forall (@list @t1 @t43 @t73) (= (tptp.c_Relation_ORange @t557 @t43 @t1) @t356))) % 1.72/1.98 (assume @p485 (forall @t84 (= (tptp.c_Relation_ORange @t415 @t1 @t1) @t15))) % 1.72/1.98 (assume @p486 (forall (@list @t73 @t78 @t1 @t43 @t76) (or (tptp.c_Relation_Osingle__valued @t82 @t1 @t76) (not (tptp.c_Relation_Osingle__valued @t78 @t43 @t76)) @t558))) % 1.72/1.98 (assume @p487 (forall @t207 (tptp.c_Relation_Otrans @t318 @t1))) % 1.72/1.98 (assume @p488 (forall (@list @t1 @t73 @t15) (or @t556 @t485))) % 1.72/1.98 (assume @p489 (forall @t412 (= (tptp.c_Relation_Orel__comp @t139 @t139 @t1 @t1 @t1) @t139))) % 1.72/1.98 (assume @p490 (forall @t83 (not (tptp.hBOOL (tptp.hAPP @t48 @t3))))) % 1.72/1.98 (assume @p491 (forall @t253 (or @t184 @t485))) % 1.72/1.98 (assume @p492 (forall @t317 (tptp.c_Relation_Ototal__on @t48 @t73 @t1))) % 1.72/1.98 (assume @p493 (forall @t334 (or @t153 @t485))) % 1.72/1.98 (assume @p494 (forall (@list @t560 @t45 @t131 @t43 @t76 @t15 @t1 @t559) (or (tptp.c_Equiv__Relations_Ocongruent @t560 @t213 @t43 @t76) @t211 @t561 (not (tptp.c_Equiv__Relations_Oequiv @t15 @t559 @t1))))) % 1.72/1.98 (assume @p495 (forall @t563 (= @t562 @t463))) % 1.72/1.98 (assume @p496 (forall @t236 (= @t391 @t469))) % 1.72/1.98 (assume @p497 (forall @t236 (= @t391 @t554))) % 1.72/1.98 (assume @p498 (forall (@list @t73 @t43 @t1) (= @t463 @t562))) % 1.72/1.98 (assume @p499 (forall @t334 (or @t333 @t485))) % 1.72/1.98 (assume @p500 (forall @t412 (= (tptp.c_Transitive__Closure_Ortrancl @t442 @t1) @t139))) % 1.72/1.98 (assume @p501 (forall @t236 (= (tptp.c_Transitive__Closure_Ortrancl @t159 @t1) @t159))) % 1.72/1.98 (assume @p502 (forall @t387 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t549 @t124 @t43 @t1) @t73 @t69)) @t385))) % 1.72/1.98 (assume @p503 (forall @t541 (or @t202 @t542 @t517))) % 1.72/1.98 (assume @p504 (forall @t480 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t131 @t73 @t1 @t43) @t131 @t43 @t1) @t73 @t69)) (not @t564)))) % 1.72/1.98 (assume @p505 (forall (@list @t73 @t565 @t43 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t568 @t567 @t43 @t1) @t73 @t69)) @t566))) % 1.72/1.98 (assume @p506 (forall (@list @t565 @t73 @t43 @t1) (or (= @t565 (tptp.c_Pair @t567 @t568 @t1 @t43)) @t566))) % 1.72/1.98 (assume @p507 (forall (@list @t2 @t294 @t43 @t76 @t1 @t131 @t124) (or (tptp.hBOOL (tptp.c_in @t2 (tptp.hAPP (tptp.c_split @t294 @t43 @t76 @t13) @t545) @t1)) (not (tptp.hBOOL (tptp.c_in @t2 (tptp.hAPP (tptp.hAPP @t294 @t131) @t124) @t1)))))) % 1.72/1.98 (assume @p508 (forall (@list @t45 @t570 @t573 @t569 @t572 @t43 @t560 @t1 @t559 @t76) (or (= (tptp.hAPP (tptp.hAPP @t45 @t570) @t573) (tptp.hAPP (tptp.hAPP @t45 @t569) @t572)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t573 @t572 @t43 @t43) @t560 @t571))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t570 @t569 @t1 @t1) @t559 @t134))) @t561))) % 1.72/1.98 (assume @p509 (forall (@list @t5 @t2 @t3 @t1 @t43 @t73) (or @t575 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t2 @t1 @t43) @t73 @t71))) (not (tptp.hBOOL (tptp.c_in @t574 @t73 @t71))) @t558))) % 1.72/1.98 (assume @p510 (forall (@list @t45 @t58 @t131 @t1 @t43 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t45 @t58 @t131 @t1 @t43) @t3) @t106) (not (tptp.hBOOL (tptp.c_in @t576 @t58 @t134)))))) % 1.72/1.98 (assume @p511 (forall (@list @t45 @t73 @t131 @t1 @t43 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t45 @t73 @t131 @t1 @t43) @t3) @t106) @t577))) % 1.72/1.98 (assume @p512 (forall (@list @t58 @t3 @t5 @t1 @t43) (or @t579 (not @t578)))) % 1.72/1.98 (assume @p513 (forall (@list @t3 @t5 @t1 @t43 @t58) (or @t578 (not @t579)))) % 1.72/1.98 (assume @p514 (forall @t544 (or @t440 @t580 @t489 @t413))) % 1.72/1.98 (assume @p515 (forall @t538 (or (tptp.hBOOL (tptp.c_in @t536 @t73 @t134)) @t539 @t493 @t413))) % 1.72/1.98 (assume @p516 (forall @t437 (or @t436 @t474))) % 1.72/1.98 (assume @p517 (forall @t538 (or @t537 @t539 @t452))) % 1.72/1.98 (assume @p518 (forall @t538 (or @t537 @t581 @t493))) % 1.72/1.98 (assume @p519 (forall @t538 (or @t582 @t539 @t322))) % 1.72/1.98 (assume @p520 (forall @t538 (or @t582 @t535 @t493))) % 1.72/1.98 (assume @p521 (forall @t246 (or @t451 @t493))) % 1.72/1.98 (assume @p522 (forall @t538 (or @t582 @t535 @t322))) % 1.72/1.98 (assume @p523 (forall @t584 (tptp.hBOOL (tptp.c_in @t583 @t159 @t134)))) % 1.72/1.98 (assume @p524 (forall (@list @t3 @t1 @t58) @t516)) % 1.72/1.98 (assume @p525 (forall (@list @t3 @t131 @t1 @t73) (or @t577 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t3 @t1 @t1) @t73 @t134))) @t129))) % 1.72/1.98 (assume @p526 (forall @t368 (or @t202 @t586 @t489 @t417))) % 1.72/1.98 (assume @p527 (forall @t246 (or @t323 (not @t587) @t493 @t417))) % 1.72/1.98 (assume @p528 (forall (@list @t45 @t5 @t2 @t1 @t73 @t43) (or (= @t588 (tptp.hAPP @t45 @t2)) @t580 (not (tptp.c_Equiv__Relations_Ocongruent @t73 @t45 @t1 @t43))))) % 1.72/1.98 (assume @p529 (forall (@list @t3 @t5 @t1 @t15) (or @t202 @t589))) % 1.72/1.98 (assume @p530 (forall (@list @t45 @t73 @t3 @t1 @t43 @t98 @t5) (or (not @t286) (= @t588 (tptp.hAPP @t98 @t5)) @t586))) % 1.72/1.98 (assume @p531 (forall (@list @t131 @t124 @t1) (or @t323 (not (tptp.hBOOL (tptp.c_in @t245 @t318 @t134)))))) % 1.72/1.98 (assume @p532 (forall @t437 (or @t435 (not @t473)))) % 1.72/1.98 (assume @p533 (forall @t584 (or (not @t590) @t129))) % 1.72/1.98 (assume @p534 (forall (@list @t3 @t5 @t1 @t73 @t45 @t43) (or @t592 (not @t591)))) % 1.72/1.98 (assume @p535 (forall (@list @t45 @t3 @t5 @t43 @t73 @t1) (or @t591 (not @t592)))) % 1.72/1.98 (assume @p536 (forall @t366 (or @t585 @t489 @t154))) % 1.72/1.98 (assume @p537 (forall (@list @t124 @t131 @t1 @t73) (or @t587 @t493 @t154))) % 1.72/1.98 (assume @p538 (forall (@list @t131 @t294 @t1 @t76 @t73 @t78 @t43 @t124) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t294 @t1 @t76) @t82 @t80)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t124 @t294 @t43 @t76) @t78 @t77))) @t593))) % 1.72/1.98 (assume @p539 (forall (@list @t131 @t294 @t1 @t58 @t124) (or (tptp.hBOOL (tptp.c_in @t536 @t442 @t134)) (not (tptp.hBOOL (tptp.c_in @t534 @t58 @t134))) (not (tptp.hBOOL (tptp.c_in @t245 @t58 @t134)))))) % 1.72/1.98 (assume @p540 (forall @t538 (or @t537 @t581 @t452))) % 1.72/1.98 (assume @p541 (forall @t343 (tptp.hBOOL (tptp.c_in @t434 @t318 @t134)))) % 1.72/1.98 (assume @p542 (forall @t548 (tptp.hBOOL (tptp.c_in @t583 @t318 @t134)))) % 1.72/1.98 (assume @p543 (= (tptp.hAPP @t594 tptp.v_x) (tptp.c_in tptp.v_x @t594 tptp.t_a))) % 1.72/1.98 (assume @p544 (forall (@list @t294 @t43 @t76 @t45) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t294 @t43 @t76) @t45 @t76 @t43 tptp.t_a) tptp.v_x) @t294))) % 1.72/1.98 (assume @p545 (forall @t601 (or @t600 @t599 @t202 @t328))) % 1.72/1.98 (assume @p546 (forall @t601 (or @t600 @t599 @t575 @t328))) % 1.72/1.98 (assume @p547 (forall @t604 (not (tptp.hBOOL (tptp.c_in @t603 @t602 @t595))))) % 1.72/1.98 (assume @p548 (forall @t605 (not (tptp.hBOOL (tptp.c_in @t597 @t602 @t595))))) % 1.72/1.98 (assume @p549 (forall @t601 (or @t598 @t575 (not @t600)))) % 1.72/1.98 (assume @p550 (forall @t605 (or @t202 @t511 (tptp.hBOOL (tptp.c_in @t597 @t606 @t595))))) % 1.72/1.98 (assume @p551 (forall @t604 (not (tptp.hBOOL (tptp.c_in @t603 @t606 @t595))))) % 1.72/1.98 (assume @p552 (forall @t608 (not (tptp.hBOOL (tptp.c_in @t607 @t606 @t595))))) % 1.72/1.98 (assume @p553 (forall @t601 (or @t609 @t599 @t202 @t575))) % 1.72/1.98 (assume @p554 (forall @t601 (or @t609 @t599 @t328 @t575))) % 1.72/1.98 (assume @p555 (forall @t608 (or @t610 @t610 (tptp.hBOOL (tptp.c_in @t607 @t602 @t595))))) % 1.72/1.98 (assume @p556 (forall @t601 (or @t598 @t328 (not @t609)))) % 1.72/1.98 (assume @p557 (forall (@list @t131 @t124) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t124 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t131 @t124) @t595)) @t323))) % 1.72/1.98 (assume @p558 (forall (@list @t131 @t124 @t1 @t43 @t15 @t14) (or @t612 (not @t611) @t211))) % 1.72/1.98 (assume @p559 (forall (@list @t131 @t73 @t1 @t124) (or @t394 @t493 (not @t520)))) % 1.72/1.98 (assume @p560 (forall (@list @t5 @t73 @t1 @t131) (or (tptp.hBOOL (tptp.c_in @t5 @t393 @t1)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t5 @t131 @t1 @t1) @t73 @t134))) @t395))) % 1.72/1.98 (assume @p561 (forall (@list @t124 @t73 @t15 @t1 @t43 @t131) (or (tptp.hBOOL (tptp.c_in @t124 @t362 @t43)) @t593 @t211))) % 1.72/1.98 (assume @p562 (forall (@list @t124 @t73 @t15 @t43 @t1 @t3) (or @t384 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t124 @t43 @t1) @t73 @t69))) @t105))) % 1.72/1.98 (assume @p563 (forall (@list @t3 @t15 @t1 @t5) (or @t110 @t589))) % 1.72/1.98 (assume @p564 (forall (@list @t3 @t1 @t15) (or (tptp.hBOOL (tptp.c_in @t434 @t415 @t134)) @t111))) % 1.72/1.98 (assume @p565 (forall @t613 (or @t486 @t489 @t485))) % 1.72/1.98 (assume @p566 (forall @t614 (or @t110 @t489 @t485))) % 1.72/1.98 (assume @p567 (forall (@list @t131 @t73 @t43 @t1 @t3) (or @t564 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t131 @t43 @t1) @t73 @t69)))))) % 1.72/1.98 (assume @p568 (forall (@list @t124 @t73 @t1 @t43 @t131) (or (tptp.hBOOL (tptp.c_in @t124 (tptp.c_Relation_ORange @t73 @t1 @t43) @t43)) @t593))) % 1.72/1.98 (assume @p569 (forall (@list @t131 @t73 @t1 @t43 @t3) (or @t478 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t131 @t3 @t1 @t43) @t73 @t71)))))) % 1.72/1.98 (assume @p570 (forall (@list @t131 @t73 @t1 @t43 @t124) (or @t478 @t593))) % 1.72/1.98 (assume @p571 (forall (@list @t124 @t14 @t131 @t43 @t1 @t15) (or @t611 @t615))) % 1.72/1.98 (assume @p572 (forall (@list @t131 @t15 @t1 @t124 @t43 @t14) (or @t210 @t615))) % 1.72/1.98 (assume @p573 (forall (@list @t56 @t3 @t1 @t73 @t15) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t56 @t3 @t1 @t1) @t73 @t134)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t3 @t56 @t1 @t1) @t73 @t134)) (= @t3 @t56) (not (tptp.hBOOL (tptp.c_in @t56 @t15 @t1))) @t111 @t419))) % 1.72/1.98 (assume @p574 (forall (@list @t3 @t1 @t73 @t15) (or @t435 @t111 @t185))) % 1.72/1.98 (assume @p575 (forall @t613 (or @t486 @t489 @t185))) % 1.72/1.98 (assume @p576 (forall @t614 (or @t110 @t489 @t185))) % 1.72/1.98 (assume @p577 (forall (@list @t131 @t1 @t73 @t15) (or @t590 @t211 @t185))) % 1.72/1.98 (assume @p578 (forall @t368 (or @t617 (not @t616)))) % 1.72/1.98 (assume @p579 (forall @t368 (or @t616 (not @t617)))) % 1.72/1.98 (assume @p580 (forall @t366 (or @t619 (not @t618)))) % 1.72/1.98 (assume @p581 (forall @t368 (or @t618 (not @t619)))) % 1.72/1.98 (assume @p582 (not (= tptp.v_a____ tptp.v_b____))) % 1.72/1.98 (assume @p583 (forall (@list @t45 @t98 @t3 @t622 @t621 @t52 @t43 @t1 @t76 @t555 @t620) (or (not (= @t624 (tptp.hAPP @t622 (tptp.hAPP @t621 @t52)))) (= @t623 (tptp.hAPP (tptp.c_Fun_Ocomp @t622 @t621 @t555 @t1 @t620) @t52))))) % 1.72/1.98 (assume @p584 (forall (@list @t131 @t124 @t76 @t43 @t1 @t294 @t502 @t555 @t625) (or (not (= @t627 (tptp.c_Fun_Ocomp @t294 @t502 @t555 @t43 @t1))) (= @t626 (tptp.hAPP @t294 (tptp.hAPP @t502 @t625)))))) % 1.72/1.98 (assume @p585 (forall @t631 (or @t630 (= @t124 @t628)))) % 1.72/1.98 (assume @p586 (forall @t631 (or @t630 (= @t131 @t629)))) % 1.72/1.98 (assume @p587 (forall @t462 (or @t634 (not @t633)))) % 1.72/1.98 (assume @p588 (forall @t635 (or (tptp.hBOOL (tptp.c_in @t632 @t557 @t69)) @t593))) % 1.72/1.98 (assume @p589 (forall @t635 (or @t633 (not @t634)))) % 1.72/1.98 (assume @p590 (forall (@list @t45 @t98 @t76 @t43) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t45 @t98 @t76 @t43 tptp.t_a) tptp.v_x) (tptp.hAPP @t45 @t99)))) % 1.72/1.98 (assume @p591 (forall (@list @t45 @t98 @t636 @t555 @t76 @t1 @t43) (= (tptp.c_Fun_Ocomp @t45 (tptp.c_Fun_Ocomp @t98 @t636 @t555 @t76 @t1) @t76 @t43 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t45 @t98 @t76 @t43 @t555) @t636 @t555 @t43 @t1)))) % 1.72/1.98 (assume @p592 @t643) % 1.72/1.98 (assume @p593 (forall @t642 (or @t639 (not @t641)))) % 1.72/1.98 (assume @p594 (not (= tptp.v_b____ tptp.v_c____))) % 1.72/1.98 (assume @p595 @t645) % 1.72/1.98 (assume @p596 @t646) % 1.72/1.98 (assume @p597 (forall (@list @t45 @t98 @t43 @t1 @t76 @t3) (= @t623 @t624))) % 1.72/1.98 (assume @p598 (forall (@list @t3 @t68 @t1) (or @t648 (not @t647)))) % 1.72/1.98 (assume @p599 (forall (@list @t68 @t3 @t1) (or @t647 (not @t648)))) % 1.72/1.98 (assume @p600 (not (= tptp.v_a____ tptp.v_c____))) % 1.72/1.98 (assume @p601 (tptp.hBOOL (tptp.c_in tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf @t650))) % 1.72/1.98 (assume @p602 (tptp.hBOOL (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t650))) % 1.72/1.98 (assume @p603 (or @t655 @t654)) % 1.72/1.98 (assume @p604 (or @t657 @t656)) % 1.72/1.98 (assume @p605 (forall @t662 (or (tptp.class_Lattices_Oupper__semilattice @t661) @t659))) % 1.72/1.98 (assume @p606 (forall @t662 (or (tptp.class_Lattices_Olower__semilattice @t661) @t659))) % 1.72/1.98 (assume @p607 (forall @t662 (or (tptp.class_Lattices_Odistrib__lattice @t661) (not (tptp.class_Lattices_Odistrib__lattice @t658))))) % 1.72/1.98 (assume @p608 (forall @t662 (or (tptp.class_Lattices_Obounded__lattice @t661) (not (tptp.class_Lattices_Obounded__lattice @t658))))) % 1.72/1.98 (assume @p609 (forall @t662 (or (tptp.class_Orderings_Opreorder @t661) (not (tptp.class_Orderings_Opreorder @t658))))) % 1.72/1.98 (assume @p610 (forall @t662 (or (tptp.class_Lattices_Olattice @t661) @t659))) % 1.72/1.98 (assume @p611 (forall @t662 (or (tptp.class_Orderings_Oorder @t661) (not (tptp.class_Orderings_Oorder @t658))))) % 1.72/1.98 (assume @p612 (forall @t662 (or (tptp.class_Orderings_Obot @t661) (not (tptp.class_Orderings_Obot @t658))))) % 1.72/1.98 (assume @p613 (forall @t662 (or (tptp.class_HOL_Ominus @t661) (not (tptp.class_HOL_Ominus @t658))))) % 1.72/1.98 (assume @p614 (forall @t662 (or (tptp.class_HOL_Oord @t661) (not (tptp.class_HOL_Oord @t658))))) % 1.72/1.98 (assume @p615 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.72/1.98 (assume @p616 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.72/1.98 (assume @p617 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.72/1.98 (assume @p618 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.72/1.98 (assume @p619 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.72/1.98 (assume @p620 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.72/1.98 (assume @p621 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.72/1.98 (assume @p622 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.72/1.98 (assume @p623 (tptp.class_HOL_Ominus tptp.tc_bool)) % 1.72/1.98 (assume @p624 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.72/1.98 (assume @p625 (forall @t343 (tptp.c_fequal @t3 @t3 @t1))) % 1.72/1.98 (assume @p626 (forall (@list @t664 @t663 @t1) (or (= @t664 @t663) (not (tptp.c_fequal @t664 @t663 @t1))))) % 1.72/1.98 (step @p627 :rule eq-symm :args (@t644 @t73)) % 1.72/1.98 (step @p628 :rule cong :premises (@p627) :args (@t645)) % 1.72/1.98 (step @p629 :rule eq_resolve :premises (@p595 @p628)) % 1.72/1.98 (step @p630 :rule instantiate :premises (@p629) :args ((@list tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t665))) % 1.72/1.98 (step @p631 :rule eq-symm :args (@t666 @t652)) % 1.72/1.98 (step @p632 :rule refl :args (@t646)) % 1.72/1.98 (step @p633 :rule cong :premises (@p632 @p631) :args ((=> @t646 @t667))) % 1.72/1.98 (assume-push @p755 @t646) % 1.72/1.98 (step @p635 :rule instantiate :premises (@p596) :args (@t668)) % 1.72/1.98 (step-pop @p756 :rule scope :premises (@p635)) % 1.72/1.98 (step @p636 :rule process_scope :premises (@p756) :args (@t667)) % 1.72/1.98 (step @p638 :rule eq_resolve :premises (@p636 @p633)) % 1.72/1.98 (step @p639 :rule implies_elim :premises (@p638)) % 1.72/1.98 (step @p640 :rule chain_m_resolution :premises (@p639 @p596) :args (@t669 @t670 (@list @t646))) % 1.72/1.98 (step @p641 :rule instantiate :premises (@p587) :args ((@list tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t671))) % 1.72/1.98 (step @p642 :rule instantiate :premises (@p593) :args (@t672)) % 1.72/1.98 (step @p643 :rule cnf_or_pos :args (@t676)) % 1.72/1.98 (step @p644 :rule reordering :premises (@p643) :args ((or @t655 @t675 (not @t676)))) % 1.72/1.98 (step @p645 :rule instantiate :premises (@p589) :args ((@list tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t665))) % 1.72/1.98 (step @p646 :rule cnf_or_pos :args (@t680)) % 1.72/1.98 (step @p647 :rule reordering :premises (@p646) :args ((or @t674 @t679 (not @t680)))) % 1.72/1.98 (assume-push @p757 @t654) % 1.72/1.98 (assume-push @p758 @t669) % 1.72/1.98 (assume-push @p759 @t654) % 1.72/1.98 (assume-push @p760 @t669) % 1.72/1.98 (step @p652 :rule true_intro :premises (@p757)) % 1.72/1.98 (step @p653 :rule refl :args (@t595)) % 1.72/1.98 (step @p635 :rule instantiate :premises (@p596) :args (@t668)) % 1.72/1.98 (step @p654 :rule refl :args (@t653)) % 1.72/1.98 (step @p655 :rule cong :premises (@p654 @p635 @p653) :args (@t677)) % 1.72/1.98 (step @p656 :rule cong :premises (@p655) :args (@t678)) % 1.72/1.98 (step @p657 :rule trans :premises (@p656 @p652)) % 1.72/1.98 (step @p658 :rule true_elim :premises (@p657)) % 1.72/1.98 (step-pop @p761 :rule scope :premises (@p658)) % 1.72/1.98 (step-pop @p762 :rule scope :premises (@p761)) % 1.72/1.98 (step @p659 :rule process_scope :premises (@p762) :args (@t678)) % 1.72/1.98 (step @p662 :rule and_intro :premises (@p757 @p640)) % 1.72/1.98 (step @p663 :rule modus_ponens :premises (@p662 @p659)) % 1.72/1.98 (step-pop @p763 :rule scope :premises (@p663)) % 1.72/1.98 (step-pop @p764 :rule scope :premises (@p763)) % 1.72/1.98 (step @p664 :rule process_scope :premises (@p764) :args (@t678)) % 1.72/1.98 (step @p667 :rule implies_elim :premises (@p664)) % 1.72/1.98 (step @p668 :rule cnf_and_neg :args (@t681)) % 1.72/1.98 (step @p669 :rule resolution :premises (@p668 @p667) :args (true @t681)) % 1.72/1.98 (step @p670 :rule chain_m_resolution :premises (@p669 @p640 @p647 @p645 @p644 @p642 @p603) :args (@t655 (@list false true false true false false) (@list @t669 @t678 @t680 @t674 @t676 @t654))) % 1.72/1.98 (step @p671 :rule chain_m_resolution :premises (@p604 @p670) :args (@t656 @t670 (@list @t655))) % 1.72/1.98 (step @p672 :rule refl :args (@t685)) % 1.72/1.98 (step @p673 :rule refl :args (@t688)) % 1.72/1.98 (step @p674 :rule refl :args (@t689)) % 1.72/1.98 (step @p675 :rule bool-double-not-elim :args (@t654)) % 1.72/1.98 (step @p676 :rule nary_cong :premises (@p675 @p674 @p673 @p672) :args ((or (not @t656) @t689 @t688 @t685))) % 1.72/1.98 (assume-push @p765 @t656) % 1.72/1.98 (assume-push @p766 @t669) % 1.72/1.98 (assume-push @p767 @t687) % 1.72/1.98 (assume-push @p768 @t656) % 1.72/1.98 (assume-push @p769 @t669) % 1.72/1.98 (assume-push @p770 @t687) % 1.72/1.98 (step @p683 :rule false_intro :premises (@p765)) % 1.72/1.98 (step @p653 :rule refl :args (@t595)) % 1.72/1.98 (step @p635 :rule instantiate :premises (@p596) :args (@t668)) % 1.72/1.98 (step @p654 :rule refl :args (@t653)) % 1.72/1.98 (step @p655 :rule cong :premises (@p654 @p635 @p653) :args (@t677)) % 1.72/1.98 (step @p684 :rule symm :premises (@p630)) % 1.72/1.98 (step @p685 :rule refl :args (@t651)) % 1.72/1.98 (step @p686 :rule cong :premises (@p685 @p640) :args (@t671)) % 1.72/1.98 (step @p687 :rule trans :premises (@p686 @p684)) % 1.72/1.98 (step @p688 :rule cong :premises (@p685 @p687) :args (@t682)) % 1.72/1.98 (step @p689 :rule cong :premises (@p654 @p688 @p653) :args (@t683)) % 1.72/1.98 (step @p690 :rule trans :premises (@p689 @p655)) % 1.72/1.98 (step @p691 :rule cong :premises (@p690) :args (@t684)) % 1.72/1.98 (step @p692 :rule trans :premises (@p691 @p683)) % 1.72/1.98 (step @p693 :rule false_elim :premises (@p692)) % 1.72/1.98 (step-pop @p771 :rule scope :premises (@p693)) % 1.72/1.98 (step-pop @p772 :rule scope :premises (@p771)) % 1.72/1.98 (step-pop @p773 :rule scope :premises (@p772)) % 1.72/1.98 (step @p694 :rule process_scope :premises (@p773) :args (@t685)) % 1.72/1.98 (step @p698 :rule and_intro :premises (@p765 @p640 @p630)) % 1.72/1.98 (step @p699 :rule modus_ponens :premises (@p698 @p694)) % 1.72/1.98 (step-pop @p774 :rule scope :premises (@p699)) % 1.72/1.98 (step-pop @p775 :rule scope :premises (@p774)) % 1.72/1.98 (step-pop @p776 :rule scope :premises (@p775)) % 1.72/1.98 (step @p700 :rule process_scope :premises (@p776) :args (@t685)) % 1.72/1.98 (step @p704 :rule implies_elim :premises (@p700)) % 1.72/1.98 (step @p705 :rule cnf_and_neg :args (@t690)) % 1.72/1.98 (step @p706 :rule resolution :premises (@p705 @p704) :args (true @t690)) % 1.72/1.98 (step @p707 :rule eq_resolve :premises (@p706 @p676)) % 1.72/1.98 (step @p708 :rule reordering :premises (@p707) :args ((or @t654 @t689 @t685 @t688))) % 1.72/1.98 (step @p709 :rule chain_m_resolution :premises (@p708 @p671 @p640 @p630) :args (@t685 @t691 (@list @t654 @t669 @t687))) % 1.72/1.98 (step @p710 :rule cnf_or_pos :args (@t694)) % 1.72/1.98 (step @p711 :rule reordering :premises (@p710) :args ((or @t693 @t684 (not @t694)))) % 1.72/1.98 (step @p712 :rule chain_m_resolution :premises (@p711 @p709 @p641) :args (@t693 @t695 (@list @t684 @t694))) % 1.72/1.98 (step @p713 :rule refl :args (@t675)) % 1.72/1.98 (step @p714 :rule bool-double-not-elim :args (@t692)) % 1.72/1.98 (step @p715 :rule nary_cong :premises (@p674 @p714 @p673 @p713) :args ((or @t689 (not @t693) @t688 @t675))) % 1.72/1.98 (assume-push @p777 @t669) % 1.72/1.98 (assume-push @p778 @t693) % 1.72/1.98 (assume-push @p779 @t687) % 1.72/1.98 (assume-push @p780 @t693) % 1.72/1.98 (assume-push @p781 @t669) % 1.72/1.98 (assume-push @p782 @t687) % 1.72/1.98 (step @p722 :rule false_intro :premises (@p778)) % 1.72/1.98 (step @p653 :rule refl :args (@t595)) % 1.72/1.98 (step @p635 :rule instantiate :premises (@p596) :args (@t668)) % 1.72/1.98 (step @p685 :rule refl :args (@t651)) % 1.72/1.98 (step @p723 :rule cong :premises (@p685 @p635) :args (@t686)) % 1.72/1.98 (step @p724 :rule trans :premises (@p630 @p723)) % 1.72/1.98 (step @p725 :rule refl :args (@t640)) % 1.72/1.98 (step @p726 :rule cong :premises (@p725 @p724 @p653) :args (@t673)) % 1.72/1.98 (step @p727 :rule cong :premises (@p726) :args (@t674)) % 1.72/1.98 (step @p728 :rule trans :premises (@p727 @p722)) % 1.72/1.98 (step @p729 :rule false_elim :premises (@p728)) % 1.72/1.98 (step-pop @p783 :rule scope :premises (@p729)) % 1.72/1.98 (step-pop @p784 :rule scope :premises (@p783)) % 1.72/1.98 (step-pop @p785 :rule scope :premises (@p784)) % 1.72/1.98 (step @p730 :rule process_scope :premises (@p785) :args (@t675)) % 1.72/1.98 (step @p734 :rule and_intro :premises (@p778 @p640 @p630)) % 1.72/1.98 (step @p735 :rule modus_ponens :premises (@p734 @p730)) % 1.72/1.98 (step-pop @p786 :rule scope :premises (@p735)) % 1.72/1.98 (step-pop @p787 :rule scope :premises (@p786)) % 1.72/1.98 (step-pop @p788 :rule scope :premises (@p787)) % 1.72/1.98 (step @p736 :rule process_scope :premises (@p788) :args (@t675)) % 1.72/1.98 (step @p740 :rule implies_elim :premises (@p736)) % 1.72/1.98 (step @p741 :rule cnf_and_neg :args (@t696)) % 1.72/1.98 (step @p742 :rule resolution :premises (@p741 @p740) :args (true @t696)) % 1.72/1.98 (step @p743 :rule eq_resolve :premises (@p742 @p715)) % 1.72/1.98 (step @p744 :rule reordering :premises (@p743) :args ((or @t692 @t675 @t689 @t688))) % 1.72/1.98 (step @p745 :rule chain_m_resolution :premises (@p744 @p712 @p640 @p630) :args (@t675 @t691 (@list @t692 @t669 @t687))) % 1.72/1.98 (step @p746 :rule cnf_or_pos :args (@t697)) % 1.72/1.98 (step @p747 :rule reordering :premises (@p746) :args ((or @t657 @t674 @t698))) % 1.72/1.98 (step @p748 :rule chain_m_resolution :premises (@p747 @p670 @p745) :args (@t698 (@list false true) (@list @t655 @t674))) % 1.72/1.98 (assume-push @p789 @t643) % 1.72/1.98 (step @p750 :rule instantiate :premises (@p592) :args (@t672)) % 1.72/1.98 (step-pop @p790 :rule scope :premises (@p750)) % 1.72/1.98 (step @p751 :rule process_scope :premises (@p790) :args (@t697)) % 1.72/1.98 (step @p753 :rule implies_elim :premises (@p751)) % 1.72/1.98 (step @p754 false :rule chain_m_resolution :premises (@p753 @p748 @p592) :args (false @t695 (@list @t697 @t643))) % 1.72/1.98 ) % 1.72/1.98 % SZS output end Proof % 1.72/1.98 % cvc5 exiting %------------------------------------------------------------------------------