%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT055-1 : 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 : n009.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 08:46:13 AM UTC 2026 % Result : Unsatisfiable 2.13s 2.36s % Output : Proof 2.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT055-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.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 14:21:29 EDT 2026 % 0.18/0.34 % CPUTime : % 0.39/0.69 %----Proving TF0_NAR, FOF, or CNF % 0.55/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.13/2.36 % SZS status Unsatisfiable % 2.13/2.36 % SZS output start Proof % 2.13/2.38 ( % 2.13/2.38 (declare-sort $$unsorted 0) % 2.13/2.38 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_P____ $$unsorted) % 2.13/2.38 (declare-const tptp.v_b____ $$unsorted) % 2.13/2.38 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_r $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_c____ $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_P_H____ (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.t_a $$unsorted) % 2.13/2.38 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_x $$unsorted) % 2.13/2.38 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_a____ $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.t_b $$unsorted) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_bool $$unsorted) % 2.13/2.38 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 2.13/2.38 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (define @t1 () (@var "T_a" $$unsorted)) % 2.13/2.38 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 2.13/2.38 (define @t3 () (@var "V_A" $$unsorted)) % 2.13/2.38 (define @t4 () (@var "V_C" $$unsorted)) % 2.13/2.38 (define @t5 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 2.13/2.38 (define @t6 () (@var "V_B" $$unsorted)) % 2.13/2.38 (define @t7 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t2)) % 2.13/2.38 (define @t8 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t2)) % 2.13/2.38 (define @t9 () (@list @t6 @t4 @t1 @t3)) % 2.13/2.38 (define @t10 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t4 @t2)) % 2.13/2.38 (define @t11 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t2)) % 2.13/2.38 (define @t12 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t8 @t2)) % 2.13/2.38 (define @t13 () (@list @t3 @t6 @t4 @t1)) % 2.13/2.38 (define @t14 () (@var "V_z" $$unsorted)) % 2.13/2.38 (define @t15 () (@var "V_x" $$unsorted)) % 2.13/2.38 (define @t16 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t1)) % 2.13/2.38 (define @t17 () (@var "V_y" $$unsorted)) % 2.13/2.38 (define @t18 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t17 @t1)) % 2.13/2.38 (define @t19 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t16 @t1)) % 2.13/2.38 (define @t20 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t14 @t1)) % 2.13/2.38 (define @t21 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t20 @t1)) % 2.13/2.38 (define @t22 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 2.13/2.38 (define @t23 () (@list @t1 @t15 @t17 @t14)) % 2.13/2.38 (define @t24 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t1)) % 2.13/2.38 (define @t25 () (@list @t1 @t17 @t14 @t15)) % 2.13/2.38 (define @t26 () (@list @t3 @t1)) % 2.13/2.38 (define @t27 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 2.13/2.38 (define @t28 () (@list @t1 @t15)) % 2.13/2.38 (define @t29 () (@var "T_b" $$unsorted)) % 2.13/2.38 (define @t30 () (tptp.tc_prod @t1 @t29)) % 2.13/2.38 (define @t31 () (tptp.tc_fun @t30 tptp.tc_bool)) % 2.13/2.38 (define @t32 () (@var "V_r" $$unsorted)) % 2.13/2.38 (define @t33 () (@var "V_r_H" $$unsorted)) % 2.13/2.38 (define @t34 () (not (tptp.c_lessequals @t33 @t32 @t31))) % 2.13/2.38 (define @t35 () (@var "T_c" $$unsorted)) % 2.13/2.38 (define @t36 () (tptp.tc_prod @t29 @t35)) % 2.13/2.38 (define @t37 () (@var "V_s" $$unsorted)) % 2.13/2.38 (define @t38 () (@var "V_s_H" $$unsorted)) % 2.13/2.38 (define @t39 () (tptp.tc_prod @t1 @t35)) % 2.13/2.38 (define @t40 () (tptp.tc_fun @t39 tptp.tc_bool)) % 2.13/2.38 (define @t41 () (tptp.c_Relation_Orel__comp @t32 @t37 @t1 @t29 @t35)) % 2.13/2.38 (define @t42 () (@var "V_S" $$unsorted)) % 2.13/2.38 (define @t43 () (@var "V_R" $$unsorted)) % 2.13/2.38 (define @t44 () (tptp.c_Relation_OImage @t43 @t3 @t29 @t1)) % 2.13/2.38 (define @t45 () (tptp.tc_prod @t29 @t1)) % 2.13/2.38 (define @t46 () (tptp.tc_fun @t45 tptp.tc_bool)) % 2.13/2.38 (define @t47 () (tptp.c_Relation_OImage @t43 @t6 @t29 @t1)) % 2.13/2.38 (define @t48 () (tptp.tc_fun @t29 tptp.tc_bool)) % 2.13/2.38 (define @t49 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t48)) % 2.13/2.38 (define @t50 () (@list @t43 @t3 @t6 @t29 @t1)) % 2.13/2.38 (define @t51 () (tptp.c_Wellfounded_Owf @t43 @t1)) % 2.13/2.38 (define @t52 () (not @t51)) % 2.13/2.38 (define @t53 () (@var "V_P" $$unsorted)) % 2.13/2.38 (define @t54 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t53 @t43 @t1)) % 2.13/2.38 (define @t55 () (@var "V_Rb" $$unsorted)) % 2.13/2.38 (define @t56 () (tptp.c_Set_Oinsert @t15 @t3 @t1)) % 2.13/2.38 (define @t57 () (tptp.c_Set_Oinsert @t17 @t3 @t1)) % 2.13/2.38 (define @t58 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t2)) % 2.13/2.38 (define @t59 () (@list @t3 @t6 @t1)) % 2.13/2.38 (define @t60 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 2.13/2.38 (define @t61 () (@var "V_xa" $$unsorted)) % 2.13/2.38 (define @t62 () (tptp.c_Set_Oinsert @t15 @t60 @t1)) % 2.13/2.38 (define @t63 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t15 @t1)) % 2.13/2.38 (define @t64 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 2.13/2.38 (define @t65 () (@var "V_y_H" $$unsorted)) % 2.13/2.38 (define @t66 () (@var "V_x_H" $$unsorted)) % 2.13/2.38 (define @t67 () (tptp.c_HOL_Ominus__class_Ominus @t66 @t65 @t1)) % 2.13/2.38 (define @t68 () (tptp.c_Orderings_Obot__class_Obot @t48)) % 2.13/2.38 (define @t69 () (@var "V_f" $$unsorted)) % 2.13/2.38 (define @t70 () (tptp.c_Set_Oimage @t69 @t68 @t29 @t1)) % 2.13/2.38 (define @t71 () (tptp.c_Set_Oimage @t69 @t6 @t29 @t1)) % 2.13/2.38 (define @t72 () (tptp.c_Set_Oimage @t69 @t3 @t29 @t1)) % 2.13/2.38 (define @t73 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t4 @t2)) % 2.13/2.38 (define @t74 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t8 @t2)) % 2.13/2.38 (define @t75 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t2)) % 2.13/2.38 (define @t76 () (@list @t3 @t6 @t1 @t4)) % 2.13/2.38 (define @t77 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t20 @t1)) % 2.13/2.38 (define @t78 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t17 @t1)) % 2.13/2.38 (define @t79 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 @t14 @t1) @t77)) % 2.13/2.38 (define @t80 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t1)) % 2.13/2.38 (define @t81 () (= @t77 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t80 @t1))) % 2.13/2.38 (define @t82 () (not (tptp.class_Lattices_Olattice @t1))) % 2.13/2.38 (define @t83 () (tptp.c_lessequals @t3 @t6 @t2)) % 2.13/2.38 (define @t84 () (not @t83)) % 2.13/2.38 (define @t85 () (not (tptp.c_lessequals @t6 @t3 @t2))) % 2.13/2.38 (define @t86 () (tptp.c_lessequals @t15 @t17 @t1)) % 2.13/2.38 (define @t87 () (not @t86)) % 2.13/2.38 (define @t88 () (= @t18 @t15)) % 2.13/2.38 (define @t89 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 2.13/2.38 (define @t90 () (@list @t1 @t15 @t17)) % 2.13/2.38 (define @t91 () (tptp.c_lessequals @t17 @t15 @t1)) % 2.13/2.38 (define @t92 () (not @t91)) % 2.13/2.38 (define @t93 () (tptp.c_lessequals @t3 @t4 @t2)) % 2.13/2.38 (define @t94 () (not @t93)) % 2.13/2.38 (define @t95 () (tptp.c_lessequals @t6 @t4 @t2)) % 2.13/2.38 (define @t96 () (not @t95)) % 2.13/2.38 (define @t97 () (tptp.c_lessequals @t75 @t4 @t2)) % 2.13/2.38 (define @t98 () (@list @t6 @t3 @t1)) % 2.13/2.38 (define @t99 () (@var "V_a" $$unsorted)) % 2.13/2.38 (define @t100 () (tptp.c_lessequals @t99 @t15 @t1)) % 2.13/2.38 (define @t101 () (not @t100)) % 2.13/2.38 (define @t102 () (@var "V_b" $$unsorted)) % 2.13/2.38 (define @t103 () (tptp.c_lessequals @t102 @t15 @t1)) % 2.13/2.38 (define @t104 () (not @t103)) % 2.13/2.38 (define @t105 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t102 @t1)) % 2.13/2.38 (define @t106 () (tptp.c_lessequals @t105 @t15 @t1)) % 2.13/2.38 (define @t107 () (@list @t1 @t99 @t102 @t15)) % 2.13/2.38 (define @t108 () (tptp.c_lessequals @t15 @t78 @t1)) % 2.13/2.38 (define @t109 () (tptp.c_lessequals @t17 @t78 @t1)) % 2.13/2.38 (define @t110 () (@list @t1 @t17 @t15)) % 2.13/2.38 (define @t111 () (tptp.c_Relation_ODomain @t6 @t1 @t29)) % 2.13/2.38 (define @t112 () (tptp.c_Relation_ODomain @t3 @t1 @t29)) % 2.13/2.38 (define @t113 () (@var "V_g" $$unsorted)) % 2.13/2.38 (define @t114 () (tptp.hAPP @t113 tptp.v_x)) % 2.13/2.38 (define @t115 () (tptp.hAPP @t69 tptp.v_x)) % 2.13/2.38 (define @t116 () (tptp.tc_fun tptp.t_a @t29)) % 2.13/2.38 (define @t117 () (not (tptp.class_Lattices_Olattice @t29))) % 2.13/2.38 (define @t118 () (@list @t29 @t69 @t113)) % 2.13/2.38 (define @t119 () (not (= @t11 @t60))) % 2.13/2.38 (define @t120 () (not (tptp.hBOOL (tptp.c_in @t15 @t3 @t29)))) % 2.13/2.38 (define @t121 () (tptp.hAPP @t69 @t15)) % 2.13/2.38 (define @t122 () (tptp.c_Set_Oinsert @t15 @t6 @t1)) % 2.13/2.38 (define @t123 () (tptp.c_lessequals @t3 @t122 @t2)) % 2.13/2.38 (define @t124 () (not @t123)) % 2.13/2.38 (define @t125 () (tptp.hBOOL (tptp.c_in @t15 @t3 @t1))) % 2.13/2.38 (define @t126 () (not @t125)) % 2.13/2.38 (define @t127 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t3 @t62 @t2) @t6 @t2)) % 2.13/2.38 (define @t128 () (not @t127)) % 2.13/2.38 (define @t129 () (@list @t3 @t15 @t6 @t1)) % 2.13/2.38 (define @t130 () (tptp.hBOOL (tptp.c_in @t15 @t6 @t1))) % 2.13/2.38 (define @t131 () (not @t130)) % 2.13/2.38 (define @t132 () (tptp.c_HOL_Ominus__class_Ominus @t56 @t6 @t2)) % 2.13/2.38 (define @t133 () (@list @t15 @t3 @t1 @t6)) % 2.13/2.38 (define @t134 () (tptp.c_lessequals @t56 @t6 @t2)) % 2.13/2.38 (define @t135 () (not @t134)) % 2.13/2.38 (define @t136 () (@list @t3 @t6 @t1 @t15)) % 2.13/2.38 (define @t137 () (tptp.c_Set_Oinsert @t102 @t6 @t1)) % 2.13/2.38 (define @t138 () (tptp.c_Relation_ORange @t6 @t29 @t1)) % 2.13/2.38 (define @t139 () (tptp.c_Relation_ORange @t3 @t29 @t1)) % 2.13/2.38 (define @t140 () (tptp.c_Wellfounded_Owf @t32 @t1)) % 2.13/2.38 (define @t141 () (not @t140)) % 2.13/2.38 (define @t142 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t53 @t32 @t1)) % 2.13/2.38 (define @t143 () (tptp.hBOOL (tptp.hAPP @t53 @t99))) % 2.13/2.38 (define @t144 () (@list @t53 @t99 @t32 @t1)) % 2.13/2.38 (define @t145 () (tptp.tc_prod @t1 @t1)) % 2.13/2.38 (define @t146 () (tptp.tc_fun @t145 tptp.tc_bool)) % 2.13/2.38 (define @t147 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t42 @t146)) % 2.13/2.38 (define @t148 () (tptp.c_Transitive__Closure_Ortrancl @t147 @t1)) % 2.13/2.38 (define @t149 () (tptp.c_Transitive__Closure_Ortrancl @t42 @t1)) % 2.13/2.38 (define @t150 () (tptp.c_Transitive__Closure_Ortrancl @t43 @t1)) % 2.13/2.38 (define @t151 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t150 @t149 @t146)) % 2.13/2.38 (define @t152 () (@list @t43 @t1 @t42)) % 2.13/2.38 (define @t153 () (= @t3 @t68)) % 2.13/2.38 (define @t154 () (tptp.c_Set_Oinsert @t99 @t6 @t1)) % 2.13/2.38 (define @t155 () (@list @t99 @t6 @t1 @t4)) % 2.13/2.38 (define @t156 () (@list @t3 @t99 @t6 @t1)) % 2.13/2.38 (define @t157 () (@list @t1 @t3)) % 2.13/2.38 (define @t158 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 2.13/2.38 (define @t159 () (tptp.c_Set_Oinsert @t99 @t60 @t1)) % 2.13/2.38 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t154 @t2)) % 2.13/2.38 (define @t161 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t159 @t2)) % 2.13/2.38 (define @t162 () (tptp.c_Set_Oinsert @t99 @t3 @t1)) % 2.13/2.38 (define @t163 () (@list @t99 @t3 @t1)) % 2.13/2.38 (define @t164 () (tptp.c_Set_Oinsert @t99 @t11 @t1)) % 2.13/2.38 (define @t165 () (@list @t15 @t3 @t1)) % 2.13/2.38 (define @t166 () (tptp.hBOOL (tptp.hAPP @t57 @t15))) % 2.13/2.38 (define @t167 () (= @t17 @t15)) % 2.13/2.38 (define @t168 () (tptp.hBOOL (tptp.hAPP @t3 @t15))) % 2.13/2.38 (define @t169 () (tptp.c_Relation_ODomain @t32 @t1 @t29)) % 2.13/2.38 (define @t170 () (tptp.c_Pair @t99 @t102 @t1 @t29)) % 2.13/2.38 (define @t171 () (@list @t99 @t102 @t1 @t29 @t32)) % 2.13/2.38 (define @t172 () (tptp.c_Relation_Osym @t32 @t1)) % 2.13/2.38 (define @t173 () (not @t172)) % 2.13/2.38 (define @t174 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t37 @t146)) % 2.13/2.38 (define @t175 () (not (tptp.c_lessequals @t32 @t37 @t146))) % 2.13/2.38 (define @t176 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t1)) % 2.13/2.38 (define @t177 () (tptp.c_Transitive__Closure_Ortrancl @t32 @t1)) % 2.13/2.38 (define @t178 () (tptp.c_lessequals @t177 @t176 @t146)) % 2.13/2.38 (define @t179 () (@list @t32 @t1 @t37)) % 2.13/2.38 (define @t180 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 2.13/2.38 (define @t181 () (@list @t1 @t6)) % 2.13/2.38 (define @t182 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t48)) % 2.13/2.38 (define @t183 () (@list @t69 @t3 @t6 @t29 @t1)) % 2.13/2.38 (define @t184 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t44 @t47 @t2)) % 2.13/2.38 (define @t185 () (tptp.c_Relation_OImage @t43 @t182 @t29 @t1)) % 2.13/2.38 (define @t186 () (tptp.c_lessequals @t4 @t3 @t2)) % 2.13/2.38 (define @t187 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t4 @t2) @t12)) % 2.13/2.38 (define @t188 () (not @t186)) % 2.13/2.38 (define @t189 () (@var "V_J" $$unsorted)) % 2.13/2.38 (define @t190 () (tptp.c_Product__Type_OSigma @t189 @t4 @t1 @t29)) % 2.13/2.38 (define @t191 () (@var "V_I" $$unsorted)) % 2.13/2.38 (define @t192 () (tptp.c_Product__Type_OSigma @t191 @t4 @t1 @t29)) % 2.13/2.38 (define @t193 () (@list @t191 @t189 @t1 @t4 @t29)) % 2.13/2.38 (define @t194 () (tptp.c_Wellfounded_Owf @t147 @t1)) % 2.13/2.38 (define @t195 () (@list @t43 @t42 @t1)) % 2.13/2.38 (define @t196 () (tptp.hBOOL (tptp.hAPP @t75 @t15))) % 2.13/2.38 (define @t197 () (tptp.hBOOL (tptp.hAPP @t6 @t15))) % 2.13/2.38 (define @t198 () (@list @t6 @t15 @t3 @t1)) % 2.13/2.38 (define @t199 () (not @t197)) % 2.13/2.38 (define @t200 () (not @t168)) % 2.13/2.38 (define @t201 () (tptp.c_Relation_Orefl__on @t3 @t32 @t1)) % 2.13/2.38 (define @t202 () (not @t201)) % 2.13/2.38 (define @t203 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t14 @t1)) % 2.13/2.38 (define @t204 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t203 @t1)) % 2.13/2.38 (define @t205 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t14 @t1) @t204)) % 2.13/2.38 (define @t206 () (= @t204 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t16 @t1))) % 2.13/2.38 (define @t207 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t2)) % 2.13/2.38 (define @t208 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t207 @t2)) % 2.13/2.38 (define @t209 () (@list @t4 @t3 @t6 @t1)) % 2.13/2.38 (define @t210 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t207 @t2)) % 2.13/2.38 (define @t211 () (@var "V_D" $$unsorted)) % 2.13/2.38 (define @t212 () (@list @t3 @t6 @t1 @t4 @t211)) % 2.13/2.38 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t78 @t80 @t1)) % 2.13/2.38 (define @t214 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t203 @t1)) % 2.13/2.38 (define @t215 () (@list @t3 @t4 @t1 @t6)) % 2.13/2.38 (define @t216 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t53 @t32 @t1)) % 2.13/2.38 (define @t217 () (@var "V_xb" $$unsorted)) % 2.13/2.38 (define @t218 () (tptp.c_Relation_Oconverse @t32 @t1 @t1)) % 2.13/2.38 (define @t219 () (tptp.c_Wellfounded_Oacyclic @t218 @t1)) % 2.13/2.38 (define @t220 () (tptp.c_Wellfounded_Oacyclic @t32 @t1)) % 2.13/2.38 (define @t221 () (@list @t32 @t1)) % 2.13/2.38 (define @t222 () (not @t220)) % 2.13/2.38 (define @t223 () (= @t3 @t6)) % 2.13/2.38 (define @t224 () (= @t15 @t17)) % 2.13/2.38 (define @t225 () (not (tptp.class_Orderings_Oorder @t1))) % 2.13/2.38 (define @t226 () (= @t78 @t17)) % 2.13/2.38 (define @t227 () (= @t75 @t6)) % 2.13/2.38 (define @t228 () (@var "V_c" $$unsorted)) % 2.13/2.38 (define @t229 () (= @t99 @t228)) % 2.13/2.38 (define @t230 () (@var "V_d" $$unsorted)) % 2.13/2.38 (define @t231 () (= @t99 @t230)) % 2.13/2.38 (define @t232 () (tptp.c_Set_Oinsert @t102 @t60 @t1)) % 2.13/2.38 (define @t233 () (not (= (tptp.c_Set_Oinsert @t99 @t232 @t1) (tptp.c_Set_Oinsert @t228 (tptp.c_Set_Oinsert @t230 @t60 @t1) @t1)))) % 2.13/2.38 (define @t234 () (@list @t99 @t102 @t1 @t228 @t230)) % 2.13/2.38 (define @t235 () (= @t102 @t228)) % 2.13/2.38 (define @t236 () (= @t102 @t230)) % 2.13/2.38 (define @t237 () (= @t3 @t60)) % 2.13/2.38 (define @t238 () (@list @t1)) % 2.13/2.38 (define @t239 () (tptp.hBOOL (tptp.c_in @t99 @t4 @t1))) % 2.13/2.38 (define @t240 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t154 @t4 @t2)) % 2.13/2.38 (define @t241 () (tptp.hBOOL (tptp.c_in @t99 @t3 @t1))) % 2.13/2.38 (define @t242 () (not @t241)) % 2.13/2.38 (define @t243 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t154 @t2)) % 2.13/2.38 (define @t244 () (tptp.hAPP @t69 @t99)) % 2.13/2.38 (define @t245 () (not (tptp.c_lessequals @t6 @t211 @t2))) % 2.13/2.38 (define @t246 () (tptp.c_Relation_Oconverse @t32 @t29 @t1)) % 2.13/2.38 (define @t247 () (tptp.c_lessequals @t18 @t15 @t1)) % 2.13/2.38 (define @t248 () (tptp.c_lessequals @t18 @t17 @t1)) % 2.13/2.38 (define @t249 () (tptp.c_lessequals @t15 @t14 @t1)) % 2.13/2.38 (define @t250 () (not @t249)) % 2.13/2.38 (define @t251 () (tptp.c_lessequals @t15 @t203 @t1)) % 2.13/2.38 (define @t252 () (tptp.c_lessequals @t15 @t99 @t1)) % 2.13/2.38 (define @t253 () (not @t252)) % 2.13/2.38 (define @t254 () (tptp.c_lessequals @t15 @t102 @t1)) % 2.13/2.38 (define @t255 () (not @t254)) % 2.13/2.38 (define @t256 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t99 @t102 @t1)) % 2.13/2.38 (define @t257 () (tptp.c_lessequals @t15 @t256 @t1)) % 2.13/2.38 (define @t258 () (@list @t1 @t15 @t99 @t102)) % 2.13/2.38 (define @t259 () (tptp.c_lessequals @t4 @t6 @t2)) % 2.13/2.38 (define @t260 () (tptp.c_lessequals @t4 @t11 @t2)) % 2.13/2.38 (define @t261 () (tptp.c_lessequals @t14 @t15 @t1)) % 2.13/2.38 (define @t262 () (tptp.c_lessequals @t17 @t14 @t1)) % 2.13/2.38 (define @t263 () (not @t262)) % 2.13/2.38 (define @t264 () (tptp.c_lessequals @t78 @t14 @t1)) % 2.13/2.38 (define @t265 () (= @t18 @t24)) % 2.13/2.38 (define @t266 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t3 @t2)) % 2.13/2.38 (define @t267 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t266 @t2)) % 2.13/2.38 (define @t268 () (tptp.c_Set_Oinsert @t99 @t161 @t1)) % 2.13/2.38 (define @t269 () (= @t99 @t102)) % 2.13/2.38 (define @t270 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 2.13/2.38 (define @t271 () (@list @t15 @t6 @t1 @t3)) % 2.13/2.38 (define @t272 () (tptp.c_Set_Oimage @t69 @t3 @t1 @t29)) % 2.13/2.38 (define @t273 () (@list @t69 @t15 @t3 @t1 @t29)) % 2.13/2.38 (define @t274 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t3 @t32 @t1)) % 2.13/2.38 (define @t275 () (not @t274)) % 2.13/2.38 (define @t276 () (tptp.c_Relation_Ototal__on @t3 @t32 @t1)) % 2.13/2.38 (define @t277 () (@list @t3 @t32 @t1)) % 2.13/2.38 (define @t278 () (not (= @t75 @t60))) % 2.13/2.38 (define @t279 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t1) @t158))) % 2.13/2.38 (define @t280 () (@list @t1 @t3 @t6)) % 2.13/2.38 (define @t281 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t3 @t2)) % 2.13/2.38 (define @t282 () (@var "V_T" $$unsorted)) % 2.13/2.38 (define @t283 () (tptp.tc_prod @t35 @t29)) % 2.13/2.38 (define @t284 () (not @t260)) % 2.13/2.38 (define @t285 () (not @t257)) % 2.13/2.38 (define @t286 () (tptp.c_lessequals @t256 @t15 @t1)) % 2.13/2.38 (define @t287 () (not @t251)) % 2.13/2.38 (define @t288 () (@list @t1 @t15 @t14 @t17)) % 2.13/2.38 (define @t289 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t4 @t2)) % 2.13/2.38 (define @t290 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 @t2)) % 2.13/2.38 (define @t291 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t1)) % 2.13/2.38 (define @t292 () (= @t78 @t291)) % 2.13/2.38 (define @t293 () (@var "V_R2" $$unsorted)) % 2.13/2.38 (define @t294 () (@var "V_R1" $$unsorted)) % 2.13/2.38 (define @t295 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t78 @t1) @t78)) % 2.13/2.38 (define @t296 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t53 @t32 @t1)) % 2.13/2.38 (define @t297 () (tptp.hBOOL (tptp.hAPP @t11 @t15))) % 2.13/2.38 (define @t298 () (not @t297)) % 2.13/2.38 (define @t299 () (tptp.c_Relation_ORange @t32 @t29 @t1)) % 2.13/2.38 (define @t300 () (tptp.c_Pair @t99 @t102 @t29 @t1)) % 2.13/2.38 (define @t301 () (@list @t99 @t102 @t29 @t1 @t32)) % 2.13/2.38 (define @t302 () (tptp.c_lessequals @t3 @t8 @t2)) % 2.13/2.38 (define @t303 () (tptp.c_lessequals @t58 @t4 @t2)) % 2.13/2.38 (define @t304 () (= (tptp.c_Recdef_Ocut @t69 @t32 @t15 @t1 @t29) (tptp.c_Recdef_Ocut @t113 @t32 @t15 @t1 @t29))) % 2.13/2.38 (define @t305 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t69 @t113 @t32 @t15 @t1 @t29)) % 2.13/2.38 (define @t306 () (tptp.c_Pair @t17 @t15 @t1 @t1)) % 2.13/2.38 (define @t307 () (tptp.c_Set_Oinsert @t306 @t32 @t145)) % 2.13/2.38 (define @t308 () (tptp.c_Wellfounded_Oacyclic @t307 @t1)) % 2.13/2.38 (define @t309 () (not @t308)) % 2.13/2.38 (define @t310 () (@list @t32 @t1 @t17 @t15)) % 2.13/2.38 (define @t311 () (tptp.hBOOL (tptp.c_in @t228 @t3 @t1))) % 2.13/2.38 (define @t312 () (not @t311)) % 2.13/2.38 (define @t313 () (tptp.hBOOL (tptp.c_in @t228 @t6 @t1))) % 2.13/2.38 (define @t314 () (not @t313)) % 2.13/2.38 (define @t315 () (tptp.hBOOL (tptp.c_in @t228 @t11 @t1))) % 2.13/2.38 (define @t316 () (@list @t228 @t3 @t6 @t1)) % 2.13/2.38 (define @t317 () (tptp.hBOOL (tptp.c_in @t99 (tptp.c_Set_Oinsert @t102 @t3 @t1) @t1))) % 2.13/2.38 (define @t318 () (@var "V_t" $$unsorted)) % 2.13/2.38 (define @t319 () (@list @t228 @t6 @t1 @t3)) % 2.13/2.38 (define @t320 () (tptp.hBOOL (tptp.c_in @t228 @t75 @t1))) % 2.13/2.38 (define @t321 () (tptp.hBOOL (tptp.c_in @t228 @t58 @t1))) % 2.13/2.38 (define @t322 () (not @t321)) % 2.13/2.38 (define @t323 () (@list @t228 @t3 @t1 @t6)) % 2.13/2.38 (define @t324 () (not @t315)) % 2.13/2.38 (define @t325 () (@var "T_aa" $$unsorted)) % 2.13/2.38 (define @t326 () (tptp.hBOOL (tptp.c_in @t121 @t72 @t1))) % 2.13/2.38 (define @t327 () (@list @t15 @t3 @t29 @t69 @t1)) % 2.13/2.38 (define @t328 () (not (tptp.c_Equiv__Relations_Oequiv @t3 @t32 @t1))) % 2.13/2.38 (define @t329 () (tptp.hBOOL (tptp.c_in @t17 @t3 @t1))) % 2.13/2.38 (define @t330 () (not @t329)) % 2.13/2.38 (define @t331 () (tptp.c_Pair @t15 @t17 @t1 @t1)) % 2.13/2.38 (define @t332 () (tptp.hBOOL (tptp.c_in @t331 @t32 @t145))) % 2.13/2.38 (define @t333 () (not @t332)) % 2.13/2.38 (define @t334 () (tptp.c_Set_Oinsert @t17 @t60 @t1)) % 2.13/2.38 (define @t335 () (= (tptp.c_Equiv__Relations_Oquotient @t62 @t32 @t1) (tptp.c_Equiv__Relations_Oquotient @t334 @t32 @t1))) % 2.13/2.38 (define @t336 () (@list @t15 @t1 @t32 @t17 @t3)) % 2.13/2.38 (define @t337 () (tptp.c_Pair @t99 @t102 @t1 @t1)) % 2.13/2.38 (define @t338 () (tptp.hBOOL (tptp.c_in @t337 @t32 @t145))) % 2.13/2.38 (define @t339 () (not @t338)) % 2.13/2.38 (define @t340 () (tptp.c_Relation_OImage @t32 @t232 @t1 @t1)) % 2.13/2.38 (define @t341 () (tptp.c_Relation_OImage @t32 @t159 @t1 @t1)) % 2.13/2.38 (define @t342 () (@list @t32 @t99 @t1 @t102 @t3)) % 2.13/2.38 (define @t343 () (tptp.c_Relation_OId @t1)) % 2.13/2.38 (define @t344 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t343 @t146)) % 2.13/2.38 (define @t345 () (tptp.hBOOL (tptp.c_in @t337 @t177 @t145))) % 2.13/2.38 (define @t346 () (not @t345)) % 2.13/2.38 (define @t347 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t99 @t102 @t32 @t1)) % 2.13/2.38 (define @t348 () (@list @t99 @t102 @t32 @t1)) % 2.13/2.38 (define @t349 () (tptp.c_Relation_Otrans @t32 @t1)) % 2.13/2.38 (define @t350 () (@list @t32 @t1 @t3)) % 2.13/2.38 (define @t351 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t18 @t1) @t18)) % 2.13/2.38 (define @t352 () (not @t264)) % 2.13/2.38 (define @t353 () (tptp.c_lessequals @t15 @t105 @t1)) % 2.13/2.38 (define @t354 () (not @t106)) % 2.13/2.38 (define @t355 () (not @t97)) % 2.13/2.38 (define @t356 () (not (tptp.class_Orderings_Opreorder @t1))) % 2.13/2.38 (define @t357 () (@list @t15 @t1)) % 2.13/2.38 (define @t358 () (@var "V_Q" $$unsorted)) % 2.13/2.38 (define @t359 () (not (tptp.c_lessequals @t53 @t358 @t2))) % 2.13/2.38 (define @t360 () (tptp.hBOOL (tptp.hAPP @t53 @t15))) % 2.13/2.38 (define @t361 () (not @t360)) % 2.13/2.38 (define @t362 () (tptp.hBOOL (tptp.hAPP @t358 @t15))) % 2.13/2.38 (define @t363 () (@list @t358 @t15 @t53 @t1)) % 2.13/2.38 (define @t364 () (@var "V_p" $$unsorted)) % 2.13/2.38 (define @t365 () (tptp.c_lessequals @t15 @t15 @t1)) % 2.13/2.38 (define @t366 () (tptp.c_Relation_Oantisym @t32 @t1)) % 2.13/2.38 (define @t367 () (not (tptp.c_lessequals @t32 @t37 @t31))) % 2.13/2.38 (define @t368 () (tptp.c_Relation_Osingle__valued @t32 @t1 @t29)) % 2.13/2.38 (define @t369 () (@list @t32 @t1 @t29 @t37)) % 2.13/2.38 (define @t370 () (tptp.c_lessequals @t65 @t66 @t1)) % 2.13/2.38 (define @t371 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t17 @t1) @t67))) % 2.13/2.38 (define @t372 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 2.13/2.38 (define @t373 () (@list @t1 @t15 @t17 @t66 @t65)) % 2.13/2.38 (define @t374 () (@var "V_A_H" $$unsorted)) % 2.13/2.38 (define @t375 () (tptp.c_Relation_OImage @t32 @t3 @t1 @t29)) % 2.13/2.38 (define @t376 () (tptp.c_Relation_Oirrefl @t32 @t1)) % 2.13/2.38 (define @t377 () (tptp.hBOOL (tptp.c_in @t331 @t177 @t145))) % 2.13/2.38 (define @t378 () (@list @t17 @t15 @t1 @t32)) % 2.13/2.38 (define @t379 () (not @t377)) % 2.13/2.38 (define @t380 () (@list @t15 @t17 @t1 @t32)) % 2.13/2.38 (define @t381 () (tptp.hBOOL (tptp.hAPP @t53 @t102))) % 2.13/2.38 (define @t382 () (not @t381)) % 2.13/2.38 (define @t383 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t53 @t102 @t32 @t1)) % 2.13/2.38 (define @t384 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t53 @t102 @t32 @t1)) % 2.13/2.38 (define @t385 () (@list @t53 @t99 @t102 @t32 @t1)) % 2.13/2.38 (define @t386 () (not @t143)) % 2.13/2.38 (define @t387 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t53 @t99 @t32 @t1)) % 2.13/2.38 (define @t388 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t53 @t99 @t32 @t1)) % 2.13/2.38 (define @t389 () (@list @t53 @t102 @t99 @t32 @t1)) % 2.13/2.38 (define @t390 () (tptp.c_Equiv__Relations_Oquotient @t3 @t32 @t1)) % 2.13/2.38 (define @t391 () (@var "V_X" $$unsorted)) % 2.13/2.38 (define @t392 () (not (tptp.hBOOL (tptp.c_in @t391 @t390 @t2)))) % 2.13/2.38 (define @t393 () (@var "V_Y" $$unsorted)) % 2.13/2.38 (define @t394 () (not (tptp.hBOOL (tptp.c_in @t393 @t390 @t2)))) % 2.13/2.38 (define @t395 () (= @t391 @t393)) % 2.13/2.38 (define @t396 () (not (tptp.hBOOL (tptp.c_in @t61 @t358 @t1)))) % 2.13/2.38 (define @t397 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t358 @t32 @t1)) % 2.13/2.38 (define @t398 () (not (tptp.hBOOL (tptp.c_in @t15 @t358 @t1)))) % 2.13/2.38 (define @t399 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t358 @t43 @t1)) % 2.13/2.38 (define @t400 () (tptp.c_Relation_OImage @t32 @t62 @t1 @t1)) % 2.13/2.38 (define @t401 () (tptp.c_Wellfounded_Owf @t307 @t1)) % 2.13/2.38 (define @t402 () (not @t401)) % 2.13/2.38 (define @t403 () (tptp.hBOOL (tptp.c_in @t102 (tptp.c_Relation_OImage @t32 @t3 @t29 @t1) @t1))) % 2.13/2.38 (define @t404 () (not @t403)) % 2.13/2.38 (define @t405 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t3 @t102 @t32 @t29 @t1)) % 2.13/2.38 (define @t406 () (@list @t3 @t102 @t32 @t29 @t1)) % 2.13/2.38 (define @t407 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t3 @t102 @t32 @t29 @t1)) % 2.13/2.38 (define @t408 () (tptp.hBOOL (tptp.c_in @t15 @t148 @t145))) % 2.13/2.38 (define @t409 () (@list @t15 @t43 @t42 @t1)) % 2.13/2.38 (define @t410 () (tptp.c_Transitive__Closure_Otrancl @t32 @t1)) % 2.13/2.38 (define @t411 () (tptp.hBOOL (tptp.c_in @t364 @t410 @t145))) % 2.13/2.38 (define @t412 () (tptp.c_Wellfounded_Oacc @t32 @t1)) % 2.13/2.38 (define @t413 () (tptp.hBOOL (tptp.c_in @t99 @t412 @t1))) % 2.13/2.38 (define @t414 () (not @t413)) % 2.13/2.38 (define @t415 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t53 @t32 @t1)) % 2.13/2.38 (define @t416 () (tptp.c_Wellfounded_Oacc @t32 tptp.t_a)) % 2.13/2.38 (define @t417 () (not (tptp.hBOOL (tptp.c_in @t15 @t416 tptp.t_a)))) % 2.13/2.38 (define @t418 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t53 @t32)) % 2.13/2.38 (define @t419 () (@list @t53 @t15 @t32)) % 2.13/2.38 (define @t420 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t53 @t32 @t1)) % 2.13/2.38 (define @t421 () (tptp.c_Wellfounded_Oacc @t43 @t1)) % 2.13/2.38 (define @t422 () (tptp.hBOOL (tptp.c_in @t15 @t421 @t1))) % 2.13/2.38 (define @t423 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t43 @t15 @t1)) % 2.13/2.38 (define @t424 () (@list @t43 @t15 @t1)) % 2.13/2.38 (define @t425 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t53 @t32)) % 2.13/2.38 (define @t426 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t32 @t15 @t1)) % 2.13/2.38 (define @t427 () (tptp.hBOOL (tptp.c_in @t15 @t412 @t1))) % 2.13/2.38 (define @t428 () (@list @t15 @t32 @t1)) % 2.13/2.38 (define @t429 () (tptp.c_Relation_Orel__comp @t43 @t43 @t1 @t1 @t1)) % 2.13/2.38 (define @t430 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t429 (tptp.c_Relation_Orel__comp @t42 @t43 @t1 @t1 @t1) @t146) @t42 @t146) @t1)) % 2.13/2.38 (define @t431 () (tptp.c_Relation_ODomain @t32 @t1 @t1)) % 2.13/2.38 (define @t432 () (@list @t43 @t1)) % 2.13/2.38 (define @t433 () (not @t349)) % 2.13/2.38 (define @t434 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t435 () (tptp.tc_fun @t434 tptp.tc_bool)) % 2.13/2.38 (define @t436 () (@var "V_L" $$unsorted)) % 2.13/2.38 (define @t437 () (not (tptp.hBOOL (tptp.c_in @t436 tptp.c_Arrow__Order__Mirabelle_OLin @t435)))) % 2.13/2.38 (define @t438 () (@list @t436 @t15 @t17)) % 2.13/2.38 (define @t439 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t343 @t146)) % 2.13/2.38 (define @t440 () (tptp.c_Relation_OId__on @t3 @t1)) % 2.13/2.38 (define @t441 () (tptp.c_Relation_Oantisym @t439 @t1)) % 2.13/2.38 (define @t442 () (not @t366)) % 2.13/2.38 (define @t443 () (tptp.c_Relation_Ototal__on @t3 @t344 @t1)) % 2.13/2.38 (define @t444 () (not @t276)) % 2.13/2.38 (define @t445 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 2.13/2.38 (define @t446 () (tptp.c_Transitive__Closure_Ortrancl @t32 tptp.t_a)) % 2.13/2.38 (define @t447 () (@var "V_a2" $$unsorted)) % 2.13/2.38 (define @t448 () (@var "V_a1" $$unsorted)) % 2.13/2.38 (define @t449 () (tptp.c_Pair @t448 @t447 tptp.t_a tptp.t_a)) % 2.13/2.38 (define @t450 () (not (tptp.hBOOL (tptp.c_in @t449 @t446 @t445)))) % 2.13/2.38 (define @t451 () (= @t447 @t448)) % 2.13/2.38 (define @t452 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t448 @t447 @t32)) % 2.13/2.38 (define @t453 () (@list @t448 @t447 @t32)) % 2.13/2.38 (define @t454 () (tptp.hBOOL (tptp.hAPP @t53 @t17))) % 2.13/2.38 (define @t455 () (@list @t53 @t99 @t17 @t32 @t1)) % 2.13/2.38 (define @t456 () (@var "V_Ra" $$unsorted)) % 2.13/2.38 (define @t457 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t32 @t1)) % 2.13/2.38 (define @t458 () (tptp.c_Pair @t15 @t15 @t1 @t1)) % 2.13/2.38 (define @t459 () (tptp.hBOOL (tptp.c_in @t458 @t32 @t145))) % 2.13/2.38 (define @t460 () (not @t459)) % 2.13/2.38 (define @t461 () (@list @t15 @t1 @t32)) % 2.13/2.38 (define @t462 () (tptp.c_Pair @t15 @t14 @t1 @t1)) % 2.13/2.38 (define @t463 () (tptp.hBOOL (tptp.c_in @t462 @t410 @t145))) % 2.13/2.38 (define @t464 () (not @t463)) % 2.13/2.38 (define @t465 () (tptp.hBOOL (tptp.c_in @t462 @t32 @t145))) % 2.13/2.38 (define @t466 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t32 @t15 @t14 @t1)) % 2.13/2.38 (define @t467 () (tptp.c_Transitive__Closure_Otrancl @t43 @t1)) % 2.13/2.38 (define @t468 () (tptp.hBOOL (tptp.c_in @t331 @t467 @t145))) % 2.13/2.38 (define @t469 () (not @t468)) % 2.13/2.38 (define @t470 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t43 @t15 @t17 @t1)) % 2.13/2.38 (define @t471 () (@list @t15 @t43 @t17 @t1)) % 2.13/2.38 (define @t472 () (tptp.c_Transitive__Closure_Otrancl @t32 tptp.t_a)) % 2.13/2.38 (define @t473 () (not (tptp.hBOOL (tptp.c_in @t449 @t472 @t445)))) % 2.13/2.38 (define @t474 () (tptp.hBOOL (tptp.c_in @t449 @t32 @t445))) % 2.13/2.38 (define @t475 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t448 @t447 @t32)) % 2.13/2.38 (define @t476 () (tptp.hBOOL (tptp.c_in @t337 @t410 @t145))) % 2.13/2.38 (define @t477 () (not @t476)) % 2.13/2.38 (define @t478 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t99 @t102 @t32 @t1)) % 2.13/2.38 (define @t479 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t43 @t15 @t17 @t1)) % 2.13/2.38 (define @t480 () (@list @t43 @t15 @t17 @t1)) % 2.13/2.38 (define @t481 () (not (tptp.hBOOL (tptp.c_in @t102 @t3 @t1)))) % 2.13/2.38 (define @t482 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t228 @t1 @t29) (tptp.c_Relation_Orel__comp @t32 @t37 @t1 @t35 @t29) @t30)))) % 2.13/2.38 (define @t483 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t99 @t228 @t32 @t37 @t1 @t29 @t35)) % 2.13/2.38 (define @t484 () (@list @t99 @t228 @t32 @t37 @t1 @t29 @t35)) % 2.13/2.38 (define @t485 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t364 @t1)) % 2.13/2.38 (define @t486 () (not (tptp.hBOOL (tptp.c_in @t228 @t440 @t145)))) % 2.13/2.38 (define @t487 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t3 @t228 @t1)) % 2.13/2.38 (define @t488 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t410 @t343 @t146)) % 2.13/2.38 (define @t489 () (tptp.c_Relation_Orel__comp @t177 @t32 @t1 @t1 @t1)) % 2.13/2.38 (define @t490 () (tptp.c_Relation_Orel__comp @t218 @t32 @t1 @t1 @t1)) % 2.13/2.38 (define @t491 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t32 @t1)) % 2.13/2.38 (define @t492 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t32 @t1)) % 2.13/2.38 (define @t493 () (tptp.c_Nitpick_Orefl_H @t32 @t1)) % 2.13/2.38 (define @t494 () (not @t376)) % 2.13/2.38 (define @t495 () (not (tptp.hBOOL (tptp.c_in @t17 @t358 @t1)))) % 2.13/2.38 (define @t496 () (tptp.c_split @t69 @t1 @t29 @t35)) % 2.13/2.38 (define @t497 () (tptp.hAPP @t244 @t102)) % 2.13/2.38 (define @t498 () (tptp.hBOOL (tptp.c_in @t99 @t169 @t1))) % 2.13/2.38 (define @t499 () (not @t498)) % 2.13/2.38 (define @t500 () (@list @t99 @t32 @t1 @t29)) % 2.13/2.38 (define @t501 () (@list @t53 @t15 @t17 @t32)) % 2.13/2.38 (define @t502 () (@var "V_ya" $$unsorted)) % 2.13/2.38 (define @t503 () (tptp.hBOOL (tptp.c_in @t502 @t416 tptp.t_a))) % 2.13/2.38 (define @t504 () (@list @t53 @t15 @t502 @t32)) % 2.13/2.38 (define @t505 () (tptp.hBOOL (tptp.c_in @t99 @t299 @t1))) % 2.13/2.38 (define @t506 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t436 @t99 @t102)) % 2.13/2.38 (define @t507 () (tptp.c_Pair @t15 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t508 () (@list @t15 @t436 @t99 @t102)) % 2.13/2.38 (define @t509 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t436 @t99 @t15)) % 2.13/2.38 (define @t510 () (tptp.c_Pair @t61 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t511 () (tptp.hBOOL (tptp.c_in @t510 @t509 @t434))) % 2.13/2.38 (define @t512 () (= @t99 @t15)) % 2.13/2.38 (define @t513 () (= @t61 @t15)) % 2.13/2.38 (define @t514 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t61 @t99 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) % 2.13/2.38 (define @t515 () (not @t514)) % 2.13/2.38 (define @t516 () (@list @t61 @t99 @t436 @t15)) % 2.13/2.38 (define @t517 () (tptp.c_Pair @t15 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t518 () (tptp.hBOOL (tptp.c_in @t517 @t436 @t434))) % 2.13/2.38 (define @t519 () (not @t518)) % 2.13/2.38 (define @t520 () (tptp.hBOOL (tptp.c_in @t517 (tptp.c_Arrow__Order__Mirabelle_Oabove @t436 @t15 @t102) @t434))) % 2.13/2.38 (define @t521 () (= @t15 @t102)) % 2.13/2.38 (define @t522 () (tptp.hBOOL (tptp.c_in @t517 @t506 @t434))) % 2.13/2.38 (define @t523 () (= @t17 @t102)) % 2.13/2.38 (define @t524 () (@list @t61 @t15 @t436 @t99)) % 2.13/2.38 (define @t525 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) % 2.13/2.38 (define @t526 () (tptp.hBOOL (tptp.c_in @t517 @t509 @t434))) % 2.13/2.38 (define @t527 () (not @t525)) % 2.13/2.38 (define @t528 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t99 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434)))) % 2.13/2.38 (define @t529 () (@list @t15 @t17 @t436 @t99 @t102)) % 2.13/2.38 (define @t530 () (tptp.hBOOL (tptp.c_in @t510 (tptp.c_Arrow__Order__Mirabelle_Oabove @t436 @t61 @t15) @t434))) % 2.13/2.38 (define @t531 () (not (tptp.hBOOL (tptp.c_in @t510 @t436 @t434)))) % 2.13/2.38 (define @t532 () (@list @t61 @t15 @t436)) % 2.13/2.38 (define @t533 () (tptp.hBOOL (tptp.c_in @t300 @t32 @t45))) % 2.13/2.38 (define @t534 () (tptp.hBOOL (tptp.c_in @t102 (tptp.c_Relation_OImage @t32 (tptp.c_Set_Oinsert @t99 @t68 @t29) @t29 @t1) @t1))) % 2.13/2.38 (define @t535 () (not (tptp.hBOOL (tptp.c_in @t15 @t390 @t2)))) % 2.13/2.38 (define @t536 () (= @t400 (tptp.c_Relation_OImage @t32 @t334 @t1 @t1))) % 2.13/2.38 (define @t537 () (@list @t32 @t15 @t1 @t17 @t3)) % 2.13/2.38 (define @t538 () (= @t341 @t340)) % 2.13/2.38 (define @t539 () (not @t536)) % 2.13/2.38 (define @t540 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) % 2.13/2.38 (define @t541 () (tptp.c_Pair @t99 @t102 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t542 () (tptp.c_Pair @t102 @t99 @t1 @t1)) % 2.13/2.38 (define @t543 () (not (tptp.hBOOL (tptp.c_in @t542 @t177 @t145)))) % 2.13/2.38 (define @t544 () (tptp.hBOOL (tptp.c_in @t102 @t412 @t1))) % 2.13/2.38 (define @t545 () (@list @t102 @t32 @t1 @t99)) % 2.13/2.38 (define @t546 () (tptp.hBOOL (tptp.c_in @t458 @t150 @t145))) % 2.13/2.38 (define @t547 () (tptp.hBOOL (tptp.c_in @t15 (tptp.c_Relation_ODomain @t43 @t1 @t1) @t1))) % 2.13/2.38 (define @t548 () (tptp.hBOOL (tptp.c_in @t331 @t150 @t145))) % 2.13/2.38 (define @t549 () (not @t548)) % 2.13/2.38 (define @t550 () (@list @t15 @t17 @t1 @t43)) % 2.13/2.38 (define @t551 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t436)) % 2.13/2.38 (define @t552 () (tptp.hAPP @t551 @t15)) % 2.13/2.38 (define @t553 () (tptp.hAPP @t552 @t102)) % 2.13/2.38 (define @t554 () (tptp.hBOOL (tptp.c_in @t517 @t553 @t434))) % 2.13/2.38 (define @t555 () (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t102 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434)))) % 2.13/2.38 (define @t556 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t102 @t17 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) % 2.13/2.38 (define @t557 () (not @t556)) % 2.13/2.38 (define @t558 () (@list @t102 @t17 @t436 @t15)) % 2.13/2.38 (define @t559 () (@list @t15 @t17 @t436)) % 2.13/2.38 (define @t560 () (not (tptp.hBOOL (tptp.c_in @t364 @t32 @t145)))) % 2.13/2.38 (define @t561 () (@list @t364 @t32 @t1)) % 2.13/2.38 (define @t562 () (tptp.c_Pair @t102 @t228 @t1 @t1)) % 2.13/2.38 (define @t563 () (not (tptp.hBOOL (tptp.c_in @t562 @t177 @t145)))) % 2.13/2.38 (define @t564 () (tptp.c_Pair @t99 @t228 @t1 @t1)) % 2.13/2.38 (define @t565 () (tptp.hBOOL (tptp.c_in @t564 @t410 @t145))) % 2.13/2.38 (define @t566 () (@list @t99 @t228 @t1 @t32 @t102)) % 2.13/2.38 (define @t567 () (not (tptp.hBOOL (tptp.c_in @t562 @t32 @t145)))) % 2.13/2.38 (define @t568 () (tptp.hBOOL (tptp.c_in @t306 @t177 @t145))) % 2.13/2.38 (define @t569 () (tptp.c_Transitive__Closure_Ortrancl @t218 @t1)) % 2.13/2.38 (define @t570 () (tptp.hBOOL (tptp.c_in @t331 @t569 @t145))) % 2.13/2.38 (define @t571 () (tptp.c_Pair @t17 @t14 @t1 @t1)) % 2.13/2.38 (define @t572 () (@list @t99 @t102 @t1 @t32)) % 2.13/2.38 (define @t573 () (@list @t15 @t14 @t1 @t32 @t17)) % 2.13/2.38 (define @t574 () (tptp.c_Transitive__Closure_Otrancl @t218 @t1)) % 2.13/2.38 (define @t575 () (tptp.hBOOL (tptp.c_in @t331 @t574 @t145))) % 2.13/2.38 (define @t576 () (tptp.c_Relation_Oconverse @t410 @t1 @t1)) % 2.13/2.38 (define @t577 () (tptp.hBOOL (tptp.c_in @t331 @t576 @t145))) % 2.13/2.38 (define @t578 () (tptp.c_Pair @t99 @t102 @t29 @t35)) % 2.13/2.38 (define @t579 () (not (tptp.hBOOL (tptp.c_in @t15 @t60 @t1)))) % 2.13/2.38 (define @t580 () (@list @t53 @t15 @t1)) % 2.13/2.38 (define @t581 () (@list @t99 @t1)) % 2.13/2.38 (define @t582 () (tptp.c_Relation_Osym @t218 @t1)) % 2.13/2.38 (define @t583 () (@list @t43 @t29 @t1)) % 2.13/2.38 (define @t584 () (tptp.c_Relation_Orefl__on @t3 @t218 @t1)) % 2.13/2.38 (define @t585 () (tptp.c_Wellfounded_Owf @t429 @t1)) % 2.13/2.38 (define @t586 () (= @t218 @t32)) % 2.13/2.38 (define @t587 () (tptp.c_Relation_Oinv__image @t32 @t69 @t1 @t29)) % 2.13/2.38 (define @t588 () (@list @t32 @t69 @t1 @t29)) % 2.13/2.38 (define @t589 () (tptp.c_Relation_Orel__comp @t32 @t177 @t1 @t1 @t1)) % 2.13/2.38 (define @t590 () (tptp.c_Relation_Otrans @t218 @t1)) % 2.13/2.38 (define @t591 () (@var "T_d" $$unsorted)) % 2.13/2.38 (define @t592 () (= @t490 @t32)) % 2.13/2.38 (define @t593 () (tptp.c_Relation_Oconverse @t32 @t1 @t29)) % 2.13/2.38 (define @t594 () (@list @t32 @t1 @t29)) % 2.13/2.38 (define @t595 () (not @t368)) % 2.13/2.38 (define @t596 () (tptp.c_Relation_Oantisym @t218 @t1)) % 2.13/2.38 (define @t597 () (@var "V_r1" $$unsorted)) % 2.13/2.38 (define @t598 () (@var "V_r2" $$unsorted)) % 2.13/2.38 (define @t599 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t597 @t598 @t69 @t1 @t29 @t35))) % 2.13/2.38 (define @t600 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t436 @t15)) % 2.13/2.38 (define @t601 () (@list @t436 @t15)) % 2.13/2.38 (define @t602 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t436 @t15)) % 2.13/2.38 (define @t603 () (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t99 @t102)) % 2.13/2.38 (define @t604 () (@list @t99 @t102)) % 2.13/2.38 (define @t605 () (tptp.c_Relation_ODomain @t246 @t1 @t29)) % 2.13/2.38 (define @t606 () (@list @t32 @t29 @t1)) % 2.13/2.38 (define @t607 () (tptp.c_Relation_Ototal__on @t3 @t218 @t1)) % 2.13/2.38 (define @t608 () (tptp.hAPP @t551 @t99)) % 2.13/2.38 (define @t609 () (tptp.hBOOL (tptp.c_in @t510 (tptp.hAPP @t608 @t15) @t434))) % 2.13/2.38 (define @t610 () (= @t15 @t99)) % 2.13/2.38 (define @t611 () (tptp.hAPP @t608 @t102)) % 2.13/2.38 (define @t612 () (tptp.hBOOL (tptp.c_in @t517 @t611 @t434))) % 2.13/2.38 (define @t613 () (= @t17 @t99)) % 2.13/2.38 (define @t614 () (tptp.c_Pair @t15 @t61 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t615 () (tptp.hBOOL (tptp.c_in @t614 (tptp.hAPP @t552 @t61) @t434))) % 2.13/2.38 (define @t616 () (= @t15 @t61)) % 2.13/2.38 (define @t617 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t61 @t102 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) % 2.13/2.38 (define @t618 () (tptp.hBOOL (tptp.c_in @t510 @t553 @t434))) % 2.13/2.38 (define @t619 () (@var "V_z1" $$unsorted)) % 2.13/2.38 (define @t620 () (@var "V_y1" $$unsorted)) % 2.13/2.38 (define @t621 () (tptp.tc_prod @t29 @t29)) % 2.13/2.38 (define @t622 () (@var "V_z2" $$unsorted)) % 2.13/2.38 (define @t623 () (@var "V_y2" $$unsorted)) % 2.13/2.38 (define @t624 () (tptp.c_Pair @t15 @t17 @t1 @t29)) % 2.13/2.38 (define @t625 () (= @t17 @t14)) % 2.13/2.38 (define @t626 () (tptp.c_Pair @t15 @t99 @t1 @t1)) % 2.13/2.38 (define @t627 () (not (tptp.hBOOL (tptp.c_in @t626 @t32 @t145)))) % 2.13/2.38 (define @t628 () (tptp.hBOOL (tptp.c_in @t624 @t43 @t30))) % 2.13/2.38 (define @t629 () (tptp.c_FunDef_Oin__rel @t43 @t15 @t17 @t1 @t29)) % 2.13/2.38 (define @t630 () (not (tptp.hBOOL (tptp.c_in @t571 @t32 @t145)))) % 2.13/2.38 (define @t631 () (tptp.c_Pair @t102 @t99 @t29 @t1)) % 2.13/2.38 (define @t632 () (tptp.hBOOL (tptp.c_in @t631 @t32 @t45))) % 2.13/2.38 (define @t633 () (tptp.hBOOL (tptp.c_in @t170 @t246 @t30))) % 2.13/2.38 (define @t634 () (not (tptp.hBOOL (tptp.c_in @t170 @t32 @t30)))) % 2.13/2.38 (define @t635 () (@list @t102 @t99 @t29 @t1 @t32)) % 2.13/2.38 (define @t636 () (not (tptp.hBOOL (tptp.c_in @t562 @t410 @t145)))) % 2.13/2.38 (define @t637 () (tptp.hBOOL (tptp.c_in @t564 @t177 @t145))) % 2.13/2.38 (define @t638 () (tptp.c_Pair @t99 @t99 @t1 @t1)) % 2.13/2.38 (define @t639 () (@list @t99 @t1 @t32)) % 2.13/2.38 (define @t640 () (tptp.hBOOL (tptp.c_in @t306 @t32 @t145))) % 2.13/2.38 (define @t641 () (not @t640)) % 2.13/2.38 (define @t642 () (tptp.hBOOL (tptp.c_in @t542 @t32 @t145))) % 2.13/2.38 (define @t643 () (tptp.hAPP @t69 @t17)) % 2.13/2.38 (define @t644 () (not (tptp.hBOOL (tptp.c_in @t331 @t440 @t145)))) % 2.13/2.38 (define @t645 () (tptp.hBOOL (tptp.c_in @t638 @t32 @t145))) % 2.13/2.38 (define @t646 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t121 @t643 @t29 @t29) @t32 @t621))) % 2.13/2.38 (define @t647 () (tptp.hBOOL (tptp.c_in @t331 (tptp.c_Relation_Oinv__image @t32 @t69 @t29 @t1) @t145))) % 2.13/2.38 (define @t648 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 2.13/2.38 (define @t649 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t435)) % 2.13/2.38 (define @t650 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t649)) % 2.13/2.38 (define @t651 () (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow tptp.v_P____ @t435 @t650 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t649) tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t435)) % 2.13/2.38 (define @t652 () (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow @t651 @t435 @t650 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t649) tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t435)) % 2.13/2.38 (define @t653 () (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t654 () (tptp.hBOOL (tptp.c_in @t653 (tptp.v_F (tptp.c_COMBC (tptp.c_COMBC (tptp.c_COMBB tptp.c_Arrow__Order__Mirabelle_Obelow @t652 @t435 @t650 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t649) tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t435)) @t434))) % 2.13/2.38 (define @t655 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_F @t652) @t434))) % 2.13/2.38 (define @t656 () (not @t655)) % 2.13/2.38 (define @t657 () (tptp.hBOOL (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_F @t651) @t434))) % 2.13/2.38 (define @t658 () (not @t657)) % 2.13/2.38 (define @t659 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 2.13/2.38 (define @t660 () (tptp.hBOOL (tptp.c_in @t659 (tptp.v_F tptp.v_P____) @t434))) % 2.13/2.38 (define @t661 () (= @t15 @t14)) % 2.13/2.38 (define @t662 () (tptp.hBOOL (tptp.c_in @t517 (tptp.c_Arrow__Order__Mirabelle_Omktop @t436 @t14) @t434))) % 2.13/2.38 (define @t663 () (@list @t15 @t17 @t436 @t14)) % 2.13/2.38 (define @t664 () (@list @t15 @t436)) % 2.13/2.38 (define @t665 () (tptp.hBOOL (tptp.c_in @t517 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t436 @t14) @t434))) % 2.13/2.38 (define @t666 () (tptp.hBOOL (tptp.c_in @t102 (tptp.hAPP @t6 @t99) @t29))) % 2.13/2.38 (define @t667 () (tptp.hBOOL (tptp.c_in @t170 (tptp.c_Product__Type_OSigma @t3 @t6 @t1 @t29) @t30))) % 2.13/2.38 (define @t668 () (@list @t17 @t3 @t1 @t15 @t32)) % 2.13/2.38 (define @t669 () (@list @t15 @t3 @t1 @t17 @t32)) % 2.13/2.38 (define @t670 () (not @t667)) % 2.13/2.38 (define @t671 () (@var "V_b_H" $$unsorted)) % 2.13/2.38 (define @t672 () (@var "V_a_H" $$unsorted)) % 2.13/2.38 (define @t673 () (not (= @t170 (tptp.c_Pair @t672 @t671 @t1 @t29)))) % 2.13/2.38 (define @t674 () (@list @t99 @t102 @t1 @t29 @t672 @t671)) % 2.13/2.38 (define @t675 () (@var "V_i" $$unsorted)) % 2.13/2.38 (define @t676 () (tptp.hBOOL (tptp.c_in @t653 (tptp.v_P_H____ @t675) @t434))) % 2.13/2.38 (define @t677 () (tptp.hAPP tptp.v_P____ @t675)) % 2.13/2.38 (define @t678 () (tptp.hBOOL (tptp.c_in @t659 @t677 @t434))) % 2.13/2.38 (define @t679 () (@list @t675)) % 2.13/2.38 (define @t680 () (not @t678)) % 2.13/2.38 (define @t681 () (tptp.hBOOL (tptp.hAPP @t42 @t15))) % 2.13/2.38 (define @t682 () (tptp.hBOOL (tptp.c_in @t15 @t42 @t1))) % 2.13/2.38 (define @t683 () (tptp.hBOOL (tptp.c_in @t653 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t677) tptp.v_c____) tptp.v_b____)) tptp.v_b____) tptp.v_a____)) tptp.v_a____) tptp.v_c____) @t434))) % 2.13/2.38 (define @t684 () (tptp.hAPP tptp.v_P____ tptp.v_x)) % 2.13/2.38 (define @t685 () (tptp.hBOOL (tptp.c_in @t653 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t684) tptp.v_c____) tptp.v_b____)) tptp.v_b____) tptp.v_a____)) tptp.v_a____) tptp.v_c____) @t434))) % 2.13/2.38 (define @t686 () (tptp.hBOOL (tptp.c_in @t653 (tptp.v_P_H____ tptp.v_x) @t434))) % 2.13/2.38 (define @t687 () (not @t685)) % 2.13/2.38 (define @t688 () (not @t686)) % 2.13/2.38 (define @t689 () (@var "T_1" $$unsorted)) % 2.13/2.38 (define @t690 () (not (tptp.class_Lattices_Olattice @t689))) % 2.13/2.38 (define @t691 () (@var "T_2" $$unsorted)) % 2.13/2.38 (define @t692 () (tptp.tc_fun @t691 @t689)) % 2.13/2.38 (define @t693 () (@list @t691 @t689)) % 2.13/2.38 (define @t694 () (@list tptp.v_x)) % 2.13/2.39 (define @t695 () (tptp.hBOOL (tptp.c_in @t659 @t684 @t434))) % 2.13/2.39 (define @t696 () (not @t695)) % 2.13/2.39 (define @t697 () (or @t685 @t696)) % 2.13/2.39 (define @t698 () (or @t695 @t688)) % 2.13/2.39 (define @t699 () (or @t695 @t687)) % 2.13/2.39 (define @t700 () (or @t686 @t696)) % 2.13/2.39 (assume @p1 (forall @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t3 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t5 @t2)))) % 2.13/2.39 (assume @p2 (forall @t13 (= @t12 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t10 @t2)))) % 2.13/2.39 (assume @p3 (forall @t23 (or @t22 (= @t21 @t19)))) % 2.13/2.39 (assume @p4 (forall @t25 (or @t22 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t15 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t15 @t1) @t1))))) % 2.13/2.39 (assume @p5 (forall @t26 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t2) @t3))) % 2.13/2.39 (assume @p6 (forall @t28 (or @t27 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t15 @t1) @t15)))) % 2.13/2.39 (assume @p7 (forall (@list @t33 @t38 @t1 @t29 @t35 @t32 @t37) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t33 @t38 @t1 @t29 @t35) @t41 @t40) (not (tptp.c_lessequals @t38 @t37 (tptp.tc_fun @t36 tptp.tc_bool))) @t34))) % 2.13/2.39 (assume @p8 (forall (@list @t43 @t42 @t29 @t1 @t3) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t42 @t46) @t3 @t29 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 (tptp.c_Relation_OImage @t42 @t3 @t29 @t1) @t2)))) % 2.13/2.39 (assume @p9 (forall @t50 (= (tptp.c_Relation_OImage @t43 @t49 @t29 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t47 @t2)))) % 2.13/2.39 (assume @p10 (forall (@list @t53 @t55 @t43 @t1) (or (tptp.hBOOL (tptp.hAPP @t53 @t55)) (not (tptp.hBOOL (tptp.hAPP @t53 @t54))) @t52))) % 2.13/2.39 (assume @p11 (forall (@list @t15 @t17 @t3 @t1) (= (tptp.c_Set_Oinsert @t15 @t57 @t1) (tptp.c_Set_Oinsert @t17 @t56 @t1)))) % 2.13/2.39 (assume @p12 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t6 @t2) @t58))) % 2.13/2.39 (assume @p13 (forall (@list @t61 @t15 @t1) (= (tptp.c_Set_Oinsert @t61 @t62 @t1) (tptp.c_Set_Oinsert @t15 (tptp.c_Set_Oinsert @t61 @t60 @t1) @t1)))) % 2.13/2.39 (assume @p14 (forall (@list @t1 @t61 @t17 @t15) (or @t64 (not (= (tptp.c_HOL_Ominus__class_Ominus @t61 @t17 @t1) @t63)) (= @t61 @t17)))) % 2.13/2.39 (assume @p15 (forall (@list @t1 @t15 @t66 @t65) (or @t64 (not (= @t63 @t67)) (= @t66 @t65)))) % 2.13/2.39 (assume @p16 (forall (@list @t69 @t29 @t1) (= @t70 @t60))) % 2.13/2.39 (assume @p17 (forall (@list @t69 @t3 @t29 @t1 @t6) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t72 @t71 @t2) (tptp.c_Set_Oimage @t69 (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t48) @t29 @t1) @t2))) % 2.13/2.39 (assume @p18 (forall @t13 (= @t74 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t73 @t2)))) % 2.13/2.39 (assume @p19 (forall @t76 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t4 @t2) @t74))) % 2.13/2.39 (assume @p20 (forall @t23 (or @t27 @t79))) % 2.13/2.39 (assume @p21 (forall @t23 (or @t27 @t81))) % 2.13/2.39 (assume @p22 (forall @t23 (or @t82 @t81))) % 2.13/2.39 (assume @p23 (forall @t23 (or @t82 @t79))) % 2.13/2.39 (assume @p24 (forall @t59 (or (= @t11 @t3) @t84))) % 2.13/2.39 (assume @p25 (forall @t59 (or (= @t11 @t6) @t85))) % 2.13/2.39 (assume @p26 (forall @t90 (or @t89 @t88 @t87))) % 2.13/2.39 (assume @p27 (forall @t90 (or @t89 (not @t88) @t86))) % 2.13/2.39 (assume @p28 (forall @t90 (or @t89 (= @t18 @t17) @t92))) % 2.13/2.39 (assume @p29 (forall @t76 (or @t97 @t96 @t94))) % 2.13/2.39 (assume @p30 (forall @t98 (tptp.c_lessequals @t6 @t75 @t2))) % 2.13/2.39 (assume @p31 (forall @t59 (tptp.c_lessequals @t3 @t75 @t2))) % 2.13/2.39 (assume @p32 (forall @t107 (or @t27 @t106 @t104 @t101))) % 2.13/2.39 (assume @p33 (forall @t90 (or @t27 @t108))) % 2.13/2.39 (assume @p34 (forall @t110 (or @t27 @t109))) % 2.13/2.39 (assume @p35 (forall (@list @t3 @t1 @t29 @t6) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t112 @t111 @t2) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t31) @t1 @t29) @t2))) % 2.13/2.39 (assume @p36 (forall @t118 (or @t117 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t69 @t113 @t116) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t115 @t114 @t29))))) % 2.13/2.39 (assume @p37 (forall @t59 (or @t119 (= @t58 @t3)))) % 2.13/2.39 (assume @p38 (forall (@list @t69 @t15 @t6 @t1 @t3 @t29) (or (tptp.hBOOL (tptp.c_in @t121 @t6 @t1)) @t120 (not (tptp.c_lessequals @t72 @t6 @t2))))) % 2.13/2.39 (assume @p39 (forall (@list @t3 @t15 @t1 @t6) (or @t127 @t126 @t124))) % 2.13/2.39 (assume @p40 (forall @t129 (or @t123 @t126 @t128))) % 2.13/2.39 (assume @p41 (forall @t133 (or (= @t132 @t58) @t131))) % 2.13/2.39 (assume @p42 (forall @t136 (or @t83 @t135))) % 2.13/2.39 (assume @p43 (forall (@list @t3 @t102 @t6 @t1) (or (tptp.c_lessequals @t3 @t137 @t2) @t84))) % 2.13/2.39 (assume @p44 (forall (@list @t3 @t29 @t1 @t6) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t139 @t138 @t2) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t46) @t29 @t1) @t2))) % 2.13/2.39 (assume @p45 (forall @t144 (or @t143 (not (tptp.hBOOL (tptp.hAPP @t53 @t142))) @t141))) % 2.13/2.39 (assume @p46 (forall @t152 (tptp.c_lessequals @t151 @t148 @t146))) % 2.13/2.39 (assume @p47 (forall (@list @t1 @t69 @t3 @t29) (or (not (= @t60 @t72)) @t153))) % 2.13/2.39 (assume @p48 (forall @t155 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t154 @t4 @t2) (tptp.c_Set_Oinsert @t99 @t8 @t1)))) % 2.13/2.39 (assume @p49 (forall @t156 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t154 @t2) (tptp.c_Set_Oinsert @t99 @t75 @t1)))) % 2.13/2.39 (assume @p50 (forall @t157 (tptp.c_lessequals @t60 @t3 @t2))) % 2.13/2.39 (assume @p51 (forall @t28 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t158 @t15 @t1)))) % 2.13/2.39 (assume @p52 (forall @t156 (= @t160 (tptp.c_HOL_Ominus__class_Ominus @t58 @t159 @t2)))) % 2.13/2.39 (assume @p53 (forall @t156 (= @t160 (tptp.c_HOL_Ominus__class_Ominus @t161 @t6 @t2)))) % 2.13/2.39 (assume @p54 (forall @t163 (not (= @t162 @t60)))) % 2.13/2.39 (assume @p55 (forall (@list @t99 @t3 @t1 @t6) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t162 @t154 @t2) @t164))) % 2.13/2.39 (assume @p56 (forall @t165 (= (tptp.c_Set_Oinsert @t15 @t56 @t1) @t56))) % 2.13/2.39 (assume @p57 (forall (@list @t3 @t15 @t17 @t1) (or @t168 @t167 (not @t166)))) % 2.13/2.39 (assume @p58 (forall @t171 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t170 @t32 @t30) @t1 @t29) (tptp.c_Set_Oinsert @t99 @t169 @t1)))) % 2.13/2.39 (assume @p59 (forall (@list @t32 @t37 @t1) (or (tptp.c_Relation_Osym @t174 @t1) (not (tptp.c_Relation_Osym @t37 @t1)) @t173))) % 2.13/2.39 (assume @p60 (forall @t179 (or @t178 @t175))) % 2.13/2.39 (assume @p61 (forall @t28 (or @t180 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t158 @t1) @t158)))) % 2.13/2.39 (assume @p62 (forall @t28 (or @t180 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t15 @t1) @t158)))) % 2.13/2.39 (assume @p63 (forall @t181 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t6 @t2) @t60))) % 2.13/2.39 (assume @p64 (forall @t26 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t60 @t2) @t60))) % 2.13/2.39 (assume @p65 (forall (@list @t6 @t99 @t1) (tptp.c_lessequals @t6 @t154 @t2))) % 2.13/2.39 (assume @p66 (forall @t183 (tptp.c_lessequals (tptp.c_Set_Oimage @t69 @t182 @t29 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72 @t71 @t2) @t2))) % 2.13/2.39 (assume @p67 (forall @t50 (tptp.c_lessequals @t185 @t184 @t2))) % 2.13/2.39 (assume @p68 (forall @t76 (or (not @t187) @t186))) % 2.13/2.39 (assume @p69 (forall @t76 (or @t187 @t188))) % 2.13/2.39 (assume @p70 (forall @t193 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t191 @t189 @t2) @t4 @t1 @t29) (tptp.c_HOL_Ominus__class_Ominus @t192 @t190 @t31)))) % 2.13/2.39 (assume @p71 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t60 @t2) @t3))) % 2.13/2.39 (assume @p72 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t2) @t60))) % 2.13/2.39 (assume @p73 (forall @t195 (or @t194 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t43 @t42 @t1 @t1 @t1) @t43 @t146)) (not (tptp.c_Wellfounded_Owf @t42 @t1)) @t52))) % 2.13/2.39 (assume @p74 (forall @t198 (or @t197 @t168 (not @t196)))) % 2.13/2.39 (assume @p75 (forall @t136 (or @t196 @t199))) % 2.13/2.39 (assume @p76 (forall @t136 (or @t196 @t200))) % 2.13/2.39 (assume @p77 (forall (@list @t3 @t6 @t1 @t32 @t37) (or (tptp.c_Relation_Orefl__on @t75 @t174 @t1) (not (tptp.c_Relation_Orefl__on @t6 @t37 @t1)) @t202))) % 2.13/2.39 (assume @p78 (forall @t23 (or @t82 @t205))) % 2.13/2.39 (assume @p79 (forall @t23 (or @t82 @t206))) % 2.13/2.39 (assume @p80 (forall @t23 (or @t89 @t206))) % 2.13/2.39 (assume @p81 (forall @t23 (or @t89 @t205))) % 2.13/2.39 (assume @p82 (forall @t76 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t4 @t2) @t208))) % 2.13/2.39 (assume @p83 (forall @t13 (= @t208 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t10 @t2)))) % 2.13/2.39 (assume @p84 (forall @t28 (or @t180 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t158 @t1) @t15)))) % 2.13/2.39 (assume @p85 (forall @t28 (or @t180 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t15 @t1) @t15)))) % 2.13/2.39 (assume @p86 (forall @t181 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t6 @t2) @t6))) % 2.13/2.39 (assume @p87 (forall @t26 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t60 @t2) @t3))) % 2.13/2.39 (assume @p88 (forall @t157 (= (tptp.c_HOL_Ominus__class_Ominus @t60 @t3 @t2) @t60))) % 2.13/2.39 (assume @p89 (forall @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t58 @t2) (tptp.c_HOL_Ominus__class_Ominus @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t6 @t2) @t2)))) % 2.13/2.39 (assume @p90 (forall @t76 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t58 @t4 @t2) @t210))) % 2.13/2.39 (assume @p91 (forall @t212 (or (tptp.c_lessequals @t58 (tptp.c_HOL_Ominus__class_Ominus @t4 @t211 @t2) @t2) (not (tptp.c_lessequals @t211 @t6 @t2)) @t94))) % 2.13/2.39 (assume @p92 (forall @t23 (or @t82 (tptp.c_lessequals @t214 @t213 @t1)))) % 2.13/2.39 (assume @p93 (forall @t215 (= @t210 (tptp.c_HOL_Ominus__class_Ominus @t10 @t6 @t2)))) % 2.13/2.39 (assume @p94 (forall @t90 (or @t82 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t18 @t1) @t15)))) % 2.13/2.39 (assume @p95 (forall (@list @t53 @t217 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t53 @t217)) (not (tptp.hBOOL (tptp.hAPP @t53 @t216))) @t141))) % 2.13/2.39 (assume @p96 (forall @t221 (or @t220 (not @t219)))) % 2.13/2.39 (assume @p97 (forall @t221 (or @t219 @t222))) % 2.13/2.39 (assume @p98 (forall @t59 (or @t223 @t85 @t84))) % 2.13/2.39 (assume @p99 (forall @t90 (or @t225 @t224 @t92 @t87))) % 2.13/2.39 (assume @p100 (forall @t90 (or @t225 @t224 @t87 @t92))) % 2.13/2.39 (assume @p101 (forall @t90 (or @t82 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t78 @t1) @t15)))) % 2.13/2.39 (assume @p102 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t11 @t2) @t3))) % 2.13/2.39 (assume @p103 (forall @t90 (or @t27 (= @t78 @t15) @t92))) % 2.13/2.39 (assume @p104 (forall @t90 (or @t27 (not @t226) @t86))) % 2.13/2.39 (assume @p105 (forall @t90 (or @t27 @t226 @t87))) % 2.13/2.39 (assume @p106 (forall @t59 (or @t227 @t84))) % 2.13/2.39 (assume @p107 (forall @t59 (or (= @t75 @t3) @t85))) % 2.13/2.39 (assume @p108 (forall @t59 (or (not @t227) @t83))) % 2.13/2.39 (assume @p109 (forall @t234 (or @t233 @t231 @t229))) % 2.13/2.39 (assume @p110 (forall @t234 (or @t233 @t235 @t229))) % 2.13/2.39 (assume @p111 (forall @t234 (or @t233 @t231 @t236))) % 2.13/2.39 (assume @p112 (forall @t234 (or @t233 @t235 @t236))) % 2.13/2.39 (assume @p113 (forall @t179 (or @t178 (not (tptp.c_lessequals @t32 @t176 @t146))))) % 2.13/2.39 (assume @p114 (forall @t26 (or @t237 (not (tptp.c_lessequals @t3 @t60 @t2))))) % 2.13/2.39 (assume @p115 (forall @t238 (tptp.c_lessequals @t60 @t60 @t2))) % 2.13/2.39 (assume @p116 (forall (@list @t1 @t99 @t3) (not (= @t60 @t162)))) % 2.13/2.39 (assume @p117 (forall @t155 (or (= @t240 (tptp.c_Set_Oinsert @t99 @t207 @t1)) (not @t239)))) % 2.13/2.39 (assume @p118 (forall @t156 (or (= @t243 @t164) @t242))) % 2.13/2.39 (assume @p119 (forall (@list @t69 @t99 @t6 @t29 @t1) (= (tptp.c_Set_Oimage @t69 (tptp.c_Set_Oinsert @t99 @t6 @t29) @t29 @t1) (tptp.c_Set_Oinsert @t244 @t71 @t1)))) % 2.13/2.39 (assume @p120 (forall @t212 (or (tptp.c_lessequals @t75 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t211 @t2) @t2) @t245 @t94))) % 2.13/2.39 (assume @p121 (forall (@list @t32 @t37 @t29 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t37 @t46) @t29 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t246 (tptp.c_Relation_Oconverse @t37 @t29 @t1) @t31)))) % 2.13/2.39 (assume @p122 (forall @t90 (or @t82 @t247))) % 2.13/2.39 (assume @p123 (forall @t90 (or @t82 @t248))) % 2.13/2.39 (assume @p124 (forall @t23 (or @t89 @t251 @t250 @t87))) % 2.13/2.39 (assume @p125 (forall @t258 (or @t89 @t257 @t255 @t253))) % 2.13/2.39 (assume @p126 (forall @t90 (or @t89 @t248))) % 2.13/2.39 (assume @p127 (forall @t90 (or @t89 @t247))) % 2.13/2.39 (assume @p128 (forall @t59 (tptp.c_lessequals @t11 @t3 @t2))) % 2.13/2.39 (assume @p129 (forall @t59 (tptp.c_lessequals @t11 @t6 @t2))) % 2.13/2.39 (assume @p130 (forall @t209 (or @t260 (not @t259) @t188))) % 2.13/2.39 (assume @p131 (forall @t25 (or @t27 (tptp.c_lessequals @t20 @t15 @t1) (not @t261) @t92))) % 2.13/2.39 (assume @p132 (forall @t23 (or @t27 @t264 @t263 @t250))) % 2.13/2.39 (assume @p133 (forall @t110 (or @t82 @t109))) % 2.13/2.39 (assume @p134 (forall @t90 (or @t82 @t108))) % 2.13/2.39 (assume @p135 (forall @t59 (= @t11 @t7))) % 2.13/2.39 (assume @p136 (forall @t90 (or @t89 @t265))) % 2.13/2.39 (assume @p137 (forall @t90 (or @t82 @t265))) % 2.13/2.39 (assume @p138 (forall @t221 (or @t220 @t141))) % 2.13/2.39 (assume @p139 (forall @t59 (or (= @t267 @t6) @t84))) % 2.13/2.39 (assume @p140 (forall @t23 (or @t82 (tptp.c_lessequals @t19 @t21 @t1)))) % 2.13/2.39 (assume @p141 (forall (@list @t42 @t1 @t43) (or (= @t149 @t150) (not (tptp.c_lessequals @t42 @t150 @t146)) (not (tptp.c_lessequals @t43 @t42 @t146))))) % 2.13/2.39 (assume @p142 (forall @t59 (tptp.c_lessequals @t58 @t3 @t2))) % 2.13/2.39 (assume @p143 (forall @t163 (= @t268 @t162))) % 2.13/2.39 (assume @p144 (forall (@list @t99 @t1 @t102) (or (not (= @t159 @t232)) @t269))) % 2.13/2.39 (assume @p145 (forall @t76 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t207 @t2) @t5 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t8 @t2) @t270 @t2)))) % 2.13/2.39 (assume @p146 (forall @t271 (or @t130 @t135))) % 2.13/2.39 (assume @p147 (forall @t193 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t191 @t189 @t2) @t4 @t1 @t29) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t192 @t190 @t31)))) % 2.13/2.39 (assume @p148 (forall (@list @t17 @t3 @t1 @t15) (or @t166 @t200))) % 2.13/2.39 (assume @p149 (forall @t273 (or (= (tptp.c_Set_Oinsert @t121 @t272 @t29) @t272) @t126))) % 2.13/2.39 (assume @p150 (forall @t129 (or @t123 @t84 @t125))) % 2.13/2.39 (assume @p151 (forall @t136 (or @t83 @t125 @t124))) % 2.13/2.39 (assume @p152 (forall @t136 (or @t83 @t124 @t125))) % 2.13/2.39 (assume @p153 (forall @t156 (or (= @t243 @t11) @t241))) % 2.13/2.39 (assume @p154 (forall @t155 (or (= @t240 @t207) @t239))) % 2.13/2.39 (assume @p155 (forall @t277 (or @t276 @t275))) % 2.13/2.39 (assume @p156 (forall @t59 (or @t278 (= @t6 @t60)))) % 2.13/2.39 (assume @p157 (forall @t59 (or @t278 @t237))) % 2.13/2.39 (assume @p158 (forall @t280 (or @t180 @t279 (= @t3 @t158)))) % 2.13/2.39 (assume @p159 (forall @t280 (or @t180 @t279 (= @t6 @t158)))) % 2.13/2.39 (assume @p160 (forall @t98 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t266 @t3 @t2) @t281))) % 2.13/2.39 (assume @p161 (forall @t59 (= @t267 @t75))) % 2.13/2.39 (assume @p162 (forall (@list @t42 @t282 @t1 @t35 @t43 @t29) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t282 @t40) @t43 @t1 @t35 @t29) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t42 @t43 @t1 @t35 @t29) (tptp.c_Relation_Orel__comp @t282 @t43 @t1 @t35 @t29) @t31)))) % 2.13/2.39 (assume @p163 (forall (@list @t43 @t42 @t282 @t35 @t29 @t1) (= (tptp.c_Relation_Orel__comp @t43 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t282 (tptp.tc_fun @t283 tptp.tc_bool)) @t1 @t35 @t29) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t43 @t42 @t1 @t35 @t29) (tptp.c_Relation_Orel__comp @t43 @t282 @t1 @t35 @t29) @t31)))) % 2.13/2.39 (assume @p164 (forall (@list @t29 @t3 @t6) (or (not (tptp.class_HOL_Ominus @t29)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t116) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t3 tptp.v_x) (tptp.hAPP @t6 tptp.v_x) @t29))))) % 2.13/2.39 (assume @p165 (forall (@list @t4 @t6 @t1 @t3) (or @t259 @t284))) % 2.13/2.39 (assume @p166 (forall (@list @t4 @t3 @t1 @t6) (or @t186 @t284))) % 2.13/2.39 (assume @p167 (forall @t258 (or @t89 @t252 @t285))) % 2.13/2.39 (assume @p168 (forall (@list @t1 @t15 @t102 @t99) (or @t89 @t254 @t285))) % 2.13/2.39 (assume @p169 (forall @t107 (or @t89 @t286 @t101))) % 2.13/2.39 (assume @p170 (forall @t107 (or @t89 @t286 @t104))) % 2.13/2.39 (assume @p171 (forall @t23 (or @t89 @t86 @t287))) % 2.13/2.39 (assume @p172 (forall @t288 (or @t89 @t249 @t287))) % 2.13/2.39 (assume @p173 (forall @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t75 @t4 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t290 @t289 @t2)))) % 2.13/2.39 (assume @p174 (forall @t59 (= @t75 @t281))) % 2.13/2.39 (assume @p175 (forall @t90 (or @t27 @t292))) % 2.13/2.39 (assume @p176 (forall @t90 (or @t82 @t292))) % 2.13/2.39 (assume @p177 (forall (@list @t3 @t6 @t1 @t29) (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t31) @t1 @t29) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t112 @t111 @t2)))) % 2.13/2.39 (assume @p178 (forall @t163 (= @t162 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t159 @t3 @t2)))) % 2.13/2.39 (assume @p179 (forall (@list @t293 @t1 @t294) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t293 @t1) (tptp.c_Wellfounded_Oacc @t294 @t1) @t2) (not (tptp.c_lessequals @t294 @t293 @t146))))) % 2.13/2.39 (assume @p180 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t75 @t2) @t75))) % 2.13/2.39 (assume @p181 (forall @t90 (or @t27 @t295))) % 2.13/2.39 (assume @p182 (forall @t90 (or @t82 @t295))) % 2.13/2.39 (assume @p183 (forall (@list @t1 @t69 @t29) (= @t60 @t70))) % 2.13/2.39 (assume @p184 (forall @t59 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t266 @t2) @t60))) % 2.13/2.39 (assume @p185 (forall @t144 (or @t143 (not (tptp.hBOOL (tptp.hAPP @t53 @t296))) @t141))) % 2.13/2.39 (assume @p186 (forall @t152 (= (tptp.c_Transitive__Closure_Ortrancl @t151 @t1) @t148))) % 2.13/2.39 (assume @p187 (forall @t133 (or (= @t132 (tptp.c_Set_Oinsert @t15 @t58 @t1)) @t130))) % 2.13/2.39 (assume @p188 (forall @t129 (or @t123 @t84 @t128))) % 2.13/2.39 (assume @p189 (forall @t198 (or @t197 @t298))) % 2.13/2.39 (assume @p190 (forall @t129 (or @t168 @t298))) % 2.13/2.39 (assume @p191 (forall @t301 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t300 @t32 @t45) @t29 @t1) (tptp.c_Set_Oinsert @t102 @t299 @t1)))) % 2.13/2.39 (assume @p192 (forall @t165 (or (= (tptp.c_HOL_Ominus__class_Ominus @t56 @t62 @t2) @t3) @t125))) % 2.13/2.39 (assume @p193 (forall @t76 (or @t303 (not @t302)))) % 2.13/2.39 (assume @p194 (forall @t13 (or @t302 (not @t303)))) % 2.13/2.39 (assume @p195 (forall (@list @t69 @t113 @t32 @t15 @t1 @t29) (or (not (= (tptp.hAPP @t69 @t305) (tptp.hAPP @t113 @t305))) @t304))) % 2.13/2.39 (assume @p196 (forall @t310 (or @t220 @t309))) % 2.13/2.39 (assume @p197 (forall (@list @t29 @t69 @t15 @t113 @t1) (or (not (tptp.class_HOL_Oord @t29)) (tptp.c_lessequals @t121 (tptp.hAPP @t113 @t15) @t29) (not (tptp.c_lessequals @t69 @t113 (tptp.tc_fun @t1 @t29)))))) % 2.13/2.39 (assume @p198 (forall @t316 (or @t315 @t314 @t312))) % 2.13/2.39 (assume @p199 (forall (@list @t99 @t102 @t3 @t1) (or @t317 @t242))) % 2.13/2.39 (assume @p200 (forall (@list @t99 @t102 @t6 @t1) (or (tptp.hBOOL (tptp.c_in @t99 @t137 @t1)) (not (tptp.hBOOL (tptp.c_in @t99 @t6 @t1)))))) % 2.13/2.39 (assume @p201 (forall (@list @t318 @t6 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t318 @t6 @t1)) (not (tptp.hBOOL (tptp.c_in @t318 @t3 @t1))) @t84))) % 2.13/2.39 (assume @p202 (forall @t271 (or @t130 @t84 @t126))) % 2.13/2.39 (assume @p203 (forall @t319 (or @t313 @t312 @t84))) % 2.13/2.39 (assume @p204 (forall @t271 (or @t130 @t126 @t84))) % 2.13/2.39 (assume @p205 (forall @t316 (or @t320 @t312))) % 2.13/2.39 (assume @p206 (forall @t316 (or @t320 @t314))) % 2.13/2.39 (assume @p207 (forall (@list @t99 @t3 @t1 @t102) (or @t241 @t269 (not @t317)))) % 2.13/2.39 (assume @p208 (forall @t319 (or @t313 @t311 (not @t320)))) % 2.13/2.39 (assume @p209 (forall @t319 (or @t314 @t322))) % 2.13/2.39 (assume @p210 (forall @t323 (or @t311 @t322))) % 2.13/2.39 (assume @p211 (forall @t165 (tptp.hBOOL (tptp.c_in @t15 @t56 @t1)))) % 2.13/2.39 (assume @p212 (forall (@list @t99 @t6 @t1) (tptp.hBOOL (tptp.c_in @t99 @t154 @t1)))) % 2.13/2.39 (assume @p213 (forall (@list @t15 @t6 @t1) (tptp.hBOOL (tptp.c_in @t15 @t122 @t1)))) % 2.13/2.39 (assume @p214 (forall @t319 (or @t313 @t324))) % 2.13/2.39 (assume @p215 (forall @t323 (or @t311 @t324))) % 2.13/2.39 (assume @p216 (forall @t316 (or @t321 @t313 @t312))) % 2.13/2.39 (assume @p217 (forall @t133 (or (not (= @t56 @t122)) @t130 @t125 @t223))) % 2.13/2.39 (assume @p218 (forall @t163 (or (= @t162 @t3) @t242))) % 2.13/2.39 (assume @p219 (forall (@list @t15 @t3 @t325 @t69 @t1) (or (not (tptp.hBOOL (tptp.c_in @t15 @t3 @t325))) (tptp.hBOOL (tptp.c_in @t121 (tptp.c_Set_Oimage @t69 @t3 @t325 @t1) @t1))))) % 2.13/2.39 (assume @p220 (forall @t327 (or @t120 @t326))) % 2.13/2.39 (assume @p221 (forall (@list @t69 @t15 @t3 @t29 @t1) (or @t326 @t120))) % 2.13/2.39 (assume @p222 (forall @t273 (or (tptp.hBOOL (tptp.c_in @t121 @t272 @t29)) @t126))) % 2.13/2.39 (assume @p223 (forall @t336 (or @t335 @t333 @t330 @t126 @t328))) % 2.13/2.39 (assume @p224 (forall @t336 (or (not @t335) @t330 @t126 @t328 @t332))) % 2.13/2.39 (assume @p225 (forall @t342 (or (tptp.c_lessequals @t341 @t340 @t2) @t339 @t328))) % 2.13/2.39 (assume @p226 (forall @t221 (tptp.c_Relation_Oirrefl @t344 @t1))) % 2.13/2.39 (assume @p227 (forall @t348 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t347 @t102 @t1 @t1) @t32 @t145)) @t269 @t346))) % 2.13/2.39 (assume @p228 (forall @t25 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t203 @t15 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t291 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t15 @t1) @t1))))) % 2.13/2.39 (assume @p229 (forall @t23 (or @t22 (= @t214 @t213)))) % 2.13/2.39 (assume @p230 (forall @t13 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t207 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t73 @t2)))) % 2.13/2.39 (assume @p231 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 @t3 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t281 @t270 @t2)))) % 2.13/2.39 (assume @p232 (forall @t350 (or @t349 @t275))) % 2.13/2.39 (assume @p233 (forall @t165 (tptp.hBOOL (tptp.hAPP @t56 @t15)))) % 2.13/2.39 (assume @p234 (forall @t133 (or @t134 @t84 @t131))) % 2.13/2.39 (assume @p235 (forall (@list @t69 @t113 @t3 @t35 @t29 @t1) (= (tptp.c_Set_Oimage @t69 (tptp.c_Set_Oimage @t113 @t3 @t35 @t29) @t29 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t69 @t113 @t29 @t1 @t35) @t3 @t35 @t1)))) % 2.13/2.39 (assume @p236 (forall @t90 (or @t82 @t351))) % 2.13/2.39 (assume @p237 (forall @t90 (or @t89 @t351))) % 2.13/2.39 (assume @p238 (forall @t59 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t11 @t2) @t11))) % 2.13/2.39 (assume @p239 (forall (@list @t3 @t6 @t29 @t1) (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t46) @t29 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t139 @t138 @t2)))) % 2.13/2.39 (assume @p240 (forall @t163 (or (= @t268 @t3) @t242))) % 2.13/2.39 (assume @p241 (forall @t28 (or @t89 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t15 @t1) @t15)))) % 2.13/2.39 (assume @p242 (forall @t26 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t2) @t3))) % 2.13/2.39 (assume @p243 (forall @t25 (or @t27 @t262 @t352))) % 2.13/2.39 (assume @p244 (forall @t288 (or @t27 @t249 @t352))) % 2.13/2.39 (assume @p245 (forall @t258 (or @t27 @t353 @t255))) % 2.13/2.39 (assume @p246 (forall @t258 (or @t27 @t353 @t253))) % 2.13/2.39 (assume @p247 (forall (@list @t1 @t102 @t15 @t99) (or @t27 @t103 @t354))) % 2.13/2.39 (assume @p248 (forall (@list @t1 @t99 @t15 @t102) (or @t27 @t100 @t354))) % 2.13/2.39 (assume @p249 (forall @t215 (or @t93 @t355))) % 2.13/2.39 (assume @p250 (forall @t9 (or @t95 @t355))) % 2.13/2.39 (assume @p251 (forall @t118 (or @t117 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t69 @t113 @t116) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t115 @t114 @t29))))) % 2.13/2.39 (assume @p252 (forall (@list @t1 @t14 @t15 @t17) (or @t225 @t261 (not (tptp.c_lessequals @t14 @t17 @t1)) @t92))) % 2.13/2.39 (assume @p253 (forall @t288 (or @t356 @t249 @t263 @t87))) % 2.13/2.39 (assume @p254 (forall @t357 (tptp.c_lessequals @t15 @t15 @t2))) % 2.13/2.39 (assume @p255 (forall @t26 (tptp.c_lessequals @t3 @t3 @t2))) % 2.13/2.39 (assume @p256 (forall @t215 (or @t93 @t96 @t84))) % 2.13/2.39 (assume @p257 (forall @t363 (or @t362 @t361 @t359))) % 2.13/2.39 (assume @p258 (forall (@list @t364 @t1 @t32) (or (tptp.c_Wellfounded_Owf @t364 @t1) (not (tptp.c_lessequals @t364 @t32 @t146)) @t141))) % 2.13/2.39 (assume @p259 (forall @t28 (or @t225 @t365))) % 2.13/2.39 (assume @p260 (forall @t28 (or @t356 @t365))) % 2.13/2.39 (assume @p261 (forall @t179 (or @t366 (not (tptp.c_Relation_Oantisym @t37 @t1)) @t175))) % 2.13/2.39 (assume @p262 (forall @t363 (or @t362 @t359 @t361))) % 2.13/2.39 (assume @p263 (forall @t179 (or @t220 @t175 (not (tptp.c_Wellfounded_Oacyclic @t37 @t1))))) % 2.13/2.39 (assume @p264 (forall @t369 (or @t368 (not (tptp.c_Relation_Osingle__valued @t37 @t1 @t29)) @t367))) % 2.13/2.39 (assume @p265 (forall (@list @t69 @t3 @t29 @t1) (or (not (= @t72 @t60)) @t153))) % 2.13/2.39 (assume @p266 (forall @t212 (or (tptp.c_lessequals @t11 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t211 @t2) @t2) @t245 @t94))) % 2.13/2.39 (assume @p267 (forall @t13 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t8 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t58 @t290 @t2)))) % 2.13/2.39 (assume @p268 (forall @t76 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t4 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t289 @t2)))) % 2.13/2.39 (assume @p269 (forall @t369 (or (tptp.c_lessequals @t169 (tptp.c_Relation_ODomain @t37 @t1 @t29) @t2) @t367))) % 2.13/2.39 (assume @p270 (forall (@list @t3 @t15 @t1) (or (= @t3 @t62) @t237 (not (tptp.c_lessequals @t3 @t62 @t2))))) % 2.13/2.39 (assume @p271 (forall @t13 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t207 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t58 @t290 @t2)))) % 2.13/2.39 (assume @p272 (forall @t136 (or @t297 @t199 @t200))) % 2.13/2.39 (assume @p273 (forall (@list @t6 @t4 @t3 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t6 (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 @t2) @t2) @t3) @t96 @t84))) % 2.13/2.39 (assume @p274 (forall @t373 (or @t372 @t371 @t370 @t92))) % 2.13/2.39 (assume @p275 (forall @t373 (or @t372 @t371 @t91 (not @t370)))) % 2.13/2.39 (assume @p276 (forall (@list @t69 @t3 @t1 @t29 @t6) (or (tptp.c_lessequals @t272 (tptp.c_Set_Oimage @t69 @t6 @t1 @t29) @t48) @t84))) % 2.13/2.39 (assume @p277 (forall @t327 (or (not (tptp.c_lessequals @t15 @t3 @t48)) (tptp.c_lessequals (tptp.c_Set_Oimage @t69 @t15 @t29 @t1) @t72 @t2)))) % 2.13/2.39 (assume @p278 (forall (@list @t99 @t4 @t1 @t211) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t99 @t4 @t1) (tptp.c_Set_Oinsert @t99 @t211 @t1) @t2) (not (tptp.c_lessequals @t4 @t211 @t2))))) % 2.13/2.39 (assume @p279 (forall @t238 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t60 @t2) @t60))) % 2.13/2.39 (assume @p280 (forall @t183 (= (tptp.c_Set_Oimage @t69 @t49 @t29 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t71 @t2)))) % 2.13/2.39 (assume @p281 (forall (@list @t33 @t374 @t1 @t29 @t32 @t3) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t33 @t374 @t1 @t29) @t375 @t48) (not (tptp.c_lessequals @t374 @t3 @t2)) @t34))) % 2.13/2.39 (assume @p282 (forall @t110 (or (not (tptp.class_Orderings_Olinorder @t1)) @t91 @t86))) % 2.13/2.39 (assume @p283 (forall @t350 (or @t376 @t275))) % 2.13/2.39 (assume @p284 (forall @t378 (or @t308 @t377 @t222))) % 2.13/2.39 (assume @p285 (forall @t380 (or @t379 @t309))) % 2.13/2.39 (assume @p286 (forall @t385 (or @t143 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t384 @t383 @t1 @t1) @t32 @t145)) @t382 @t346))) % 2.13/2.39 (assume @p287 (forall @t389 (or @t381 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t388 @t387 @t1 @t1) @t32 @t145)) @t386 @t346))) % 2.13/2.39 (assume @p288 (forall (@list @t391 @t393 @t1 @t3 @t32) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t391 @t393 @t2) @t60) @t395 @t394 @t392 @t328))) % 2.13/2.39 (assume @p289 (forall (@list @t15 @t61 @t1) (or (not (= (tptp.c_Set_Oinsert @t15 @t61 @t1) @t60)) (tptp.hBOOL (tptp.c_in @t15 @t61 @t1))))) % 2.13/2.39 (assume @p290 (forall (@list @t102 @t99 @t1) (or (= @t102 @t99) (not (tptp.hBOOL (tptp.c_in @t102 @t159 @t1)))))) % 2.13/2.39 (assume @p291 (forall @t271 (or @t131 @t126 @t119))) % 2.13/2.39 (assume @p292 (forall @t357 (tptp.hBOOL (tptp.c_in @t15 @t62 @t1)))) % 2.13/2.39 (assume @p293 (forall (@list @t358 @t32 @t1 @t61) (or (tptp.hBOOL (tptp.c_in @t397 @t358 @t1)) @t396 @t141))) % 2.13/2.39 (assume @p294 (forall (@list @t358 @t43 @t1 @t15) (or (tptp.hBOOL (tptp.c_in @t399 @t358 @t1)) @t398 @t52))) % 2.13/2.39 (assume @p295 (forall (@list @t32 @t15 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t400 @t390 @t2)) @t126))) % 2.13/2.39 (assume @p296 (forall @t310 (or @t140 @t402))) % 2.13/2.39 (assume @p297 (forall @t406 (or (tptp.hBOOL (tptp.c_in @t405 @t3 @t29)) @t404))) % 2.13/2.39 (assume @p298 (forall @t406 (or (tptp.hBOOL (tptp.c_in @t407 @t3 @t29)) @t404))) % 2.13/2.39 (assume @p299 (forall @t409 (or @t408 (not (tptp.hBOOL (tptp.c_in @t15 @t150 @t145)))))) % 2.13/2.39 (assume @p300 (forall @t409 (or @t408 (not (tptp.hBOOL (tptp.c_in @t15 @t149 @t145)))))) % 2.13/2.39 (assume @p301 (forall (@list @t364 @t37 @t1 @t32) (or (tptp.hBOOL (tptp.c_in @t364 (tptp.c_Transitive__Closure_Otrancl @t37 @t1) @t145)) @t175 (not @t411)))) % 2.13/2.39 (assume @p302 (forall @t144 (or @t143 (not (tptp.hBOOL (tptp.hAPP @t53 @t415))) @t414))) % 2.13/2.39 (assume @p303 (forall @t419 (or @t360 (not (tptp.hBOOL (tptp.hAPP @t53 @t418))) @t417))) % 2.13/2.39 (assume @p304 (forall @t144 (or @t143 (tptp.hBOOL (tptp.c_in @t420 @t412 @t1)) @t414))) % 2.13/2.39 (assume @p305 (forall @t424 (or (not (tptp.hBOOL (tptp.c_in @t423 @t421 @t1))) @t422))) % 2.13/2.39 (assume @p306 (forall @t144 (or @t143 (not (tptp.hBOOL (tptp.hAPP @t53 @t420))) @t414))) % 2.13/2.39 (assume @p307 (forall @t419 (or @t360 (not (tptp.hBOOL (tptp.hAPP @t53 @t425))) @t417))) % 2.13/2.39 (assume @p308 (forall @t428 (or @t427 (not (tptp.hBOOL (tptp.c_in @t426 @t412 @t1)))))) % 2.13/2.39 (assume @p309 (forall @t144 (or @t143 (tptp.hBOOL (tptp.c_in @t415 @t412 @t1)) @t414))) % 2.13/2.39 (assume @p310 (forall @t152 (or @t430 (not @t194)))) % 2.13/2.39 (assume @p311 (forall @t195 (or @t194 (not @t430)))) % 2.13/2.39 (assume @p312 (forall @t179 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t431 (tptp.c_Relation_ORange @t37 @t1 @t1) @t2) @t60)) (not (tptp.c_Wellfounded_Owf @t37 @t1)) @t141 (tptp.c_Wellfounded_Owf @t174 @t1)))) % 2.13/2.39 (assume @p313 (forall @t221 (= @t410 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 (tptp.c_Relation_Orel__comp @t410 @t32 @t1 @t1 @t1) @t146)))) % 2.13/2.39 (assume @p314 (forall @t432 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t150 @t343 @t146) @t150))) % 2.13/2.39 (assume @p315 (forall @t432 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t43 @t343 @t146) @t1) @t150))) % 2.13/2.39 (assume @p316 (forall @t221 (= (tptp.c_Transitive__Closure_Ortrancl @t344 @t1) @t177))) % 2.13/2.39 (assume @p317 (forall @t221 (or (tptp.c_Relation_Oantisym @t177 @t1) @t222))) % 2.13/2.39 (assume @p318 (forall @t221 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t32 @t32 @t1 @t1 @t1) @t32 @t146) @t433))) % 2.13/2.39 (assume @p319 (forall @t221 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t218 @t146) @t1))) % 2.13/2.39 (assume @p320 (forall @t438 (or (tptp.hBOOL (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Oabove @t436 @t15 @t17) tptp.c_Arrow__Order__Mirabelle_OLin @t435)) @t437 @t224))) % 2.13/2.39 (assume @p321 (forall @t221 (or (tptp.c_Relation_Otrans @t439 @t1) @t433))) % 2.13/2.39 (assume @p322 (forall (@list @t3 @t1 @t6) (= (tptp.c_Relation_OImage @t440 @t6 @t1 @t1) @t11))) % 2.13/2.39 (assume @p323 (forall @t221 (or @t366 (not @t441)))) % 2.13/2.39 (assume @p324 (forall @t221 (or @t441 @t442))) % 2.13/2.39 (assume @p325 (forall @t277 (or @t276 (not @t443)))) % 2.13/2.39 (assume @p326 (forall @t277 (or @t443 @t444))) % 2.13/2.39 (assume @p327 (forall @t385 (or @t143 (tptp.hBOOL (tptp.hAPP @t53 @t383)) @t382 @t346))) % 2.13/2.39 (assume @p328 (forall @t385 (or @t143 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t383 @t102 @t1 @t1) @t177 @t145)) @t382 @t346))) % 2.13/2.39 (assume @p329 (forall @t389 (or @t381 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t388 @t1 @t1) @t177 @t145)) @t386 @t346))) % 2.13/2.39 (assume @p330 (forall @t389 (or @t381 (not (tptp.hBOOL (tptp.hAPP @t53 @t387))) @t386 @t346))) % 2.13/2.39 (assume @p331 (forall @t453 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t448 @t452 tptp.t_a tptp.t_a) @t446 @t445)) @t451 @t450))) % 2.13/2.39 (assume @p332 (forall @t389 (or @t381 (tptp.hBOOL (tptp.hAPP @t53 @t388)) @t386 @t346))) % 2.13/2.39 (assume @p333 (forall @t453 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t452 @t447 tptp.t_a tptp.t_a) @t32 @t445)) @t451 @t450))) % 2.13/2.39 (assume @p334 (forall @t385 (or @t143 (not (tptp.hBOOL (tptp.hAPP @t53 @t384))) @t382 @t346))) % 2.13/2.39 (assume @p335 (forall @t348 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t347 @t1 @t1) @t177 @t145)) @t269 @t346))) % 2.13/2.39 (assume @p336 (forall @t455 (or @t143 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t296 @t1 @t1) @t32 @t145))) @t141))) % 2.13/2.39 (assume @p337 (forall (@list @t53 @t61 @t17 @t32 @t1) (or (tptp.hBOOL (tptp.hAPP @t53 @t61)) @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t216 @t1 @t1) @t32 @t145))) @t141))) % 2.13/2.39 (assume @p338 (forall (@list @t53 @t456 @t17 @t43 @t1) (or (tptp.hBOOL (tptp.hAPP @t53 @t456)) @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t54 @t1 @t1) @t43 @t145))) @t52))) % 2.13/2.39 (assume @p339 (forall @t455 (or @t143 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t142 @t1 @t1) @t32 @t145))) @t141))) % 2.13/2.39 (assume @p340 (forall @t461 (or @t460 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t457 @t457 @t1 @t1) @t410 @t145))))) % 2.13/2.39 (assume @p341 (forall (@list @t32 @t15 @t14 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t466 @t14 @t1 @t1) @t410 @t145)) @t465 @t464))) % 2.13/2.39 (assume @p342 (forall @t471 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t470 @t1 @t1) @t43 @t145)) @t469))) % 2.13/2.39 (assume @p343 (forall @t453 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t448 @t475 tptp.t_a tptp.t_a) @t472 @t445)) @t474 @t473))) % 2.13/2.39 (assume @p344 (forall @t461 (or (not (tptp.hBOOL (tptp.c_in @t458 @t410 @t145))) @t222))) % 2.13/2.39 (assume @p345 (forall @t348 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t478 @t102 @t1 @t1) @t32 @t145)) @t338 @t477))) % 2.13/2.39 (assume @p346 (forall @t348 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t478 @t1 @t1) @t410 @t145)) @t338 @t477))) % 2.13/2.39 (assume @p347 (forall @t480 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t479 @t17 @t1 @t1) @t43 @t145)) @t469))) % 2.13/2.39 (assume @p348 (forall (@list @t15 @t32 @t14 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t466 @t1 @t1) @t32 @t145)) @t465 @t464))) % 2.13/2.39 (assume @p349 (forall @t453 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t475 @t447 tptp.t_a tptp.t_a) @t32 @t445)) @t474 @t473))) % 2.13/2.39 (assume @p350 (forall (@list @t99 @t102 @t1 @t32 @t3) (or @t338 @t481 (not (tptp.c_lessequals @t340 @t341 @t2)) @t328))) % 2.13/2.39 (assume @p351 (forall (@list @t99 @t102 @t1 @t32 @t15 @t3) (or @t338 (not (tptp.hBOOL (tptp.c_in @t15 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t340 @t2) @t1))) @t328))) % 2.13/2.39 (assume @p352 (forall @t484 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t483 @t228 @t35 @t29) @t37 @t283)) @t482))) % 2.13/2.39 (assume @p353 (forall @t484 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t483 @t1 @t35) @t32 @t39)) @t482))) % 2.13/2.39 (assume @p354 (forall (@list @t364 @t1) (or (= @t364 (tptp.c_Pair @t485 @t485 @t1 @t1)) (not (tptp.hBOOL (tptp.c_in @t364 @t343 @t145)))))) % 2.13/2.39 (assume @p355 (forall (@list @t3 @t1 @t43) (or @t237 (not (tptp.c_lessequals @t3 (tptp.c_Relation_OImage @t43 @t3 @t1 @t1) @t2)) @t52))) % 2.13/2.39 (assume @p356 (forall @t221 (or @t140 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t32 @t1) @t412 @t1)))))) % 2.13/2.39 (assume @p357 (forall @t221 (or @t140 (not (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t32 @t1) @t412 @t1)))))) % 2.13/2.39 (assume @p358 (forall (@list @t3 @t228 @t1) (or (tptp.hBOOL (tptp.c_in @t487 @t3 @t1)) @t486))) % 2.13/2.39 (assume @p359 (forall (@list @t228 @t3 @t1) (or (= @t228 (tptp.c_Pair @t487 @t487 @t1 @t1)) @t486))) % 2.13/2.39 (assume @p360 (forall (@list @t69 @t32 @t15 @t1 @t29 @t113) (or @t304 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t305 @t15 @t1 @t1) @t32 @t145))))) % 2.13/2.39 (assume @p361 (forall @t221 (= @t488 @t177))) % 2.13/2.39 (assume @p362 (forall @t221 (= (tptp.c_Transitive__Closure_Otrancl @t439 @t1) @t177))) % 2.13/2.39 (assume @p363 (forall @t221 (= @t177 @t488))) % 2.13/2.39 (assume @p364 (forall @t221 (= @t177 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t343 @t489 @t146)))) % 2.13/2.39 (assume @p365 (forall @t350 (or (tptp.c_lessequals @t32 @t490 @t146) @t202))) % 2.13/2.39 (assume @p366 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 2.13/2.39 (assume @p367 (forall @t221 (or @t376 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t491 @t491 @t1 @t1) @t32 @t145))))) % 2.13/2.39 (assume @p368 (forall @t50 (or (= @t185 @t184) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t43 @t29 @t1) @t1 @t29))))) % 2.13/2.39 (assume @p369 (forall @t221 (or (tptp.c_Relation_Otrans @t344 @t1) @t442 @t433))) % 2.13/2.39 (assume @p370 (forall @t221 (or @t493 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t492 @t492 @t1 @t1) @t32 @t145)))))) % 2.13/2.39 (assume @p371 (forall @t277 (or @t274 @t444 @t494 @t433))) % 2.13/2.39 (assume @p372 (forall (@list @t17 @t358 @t1 @t43 @t15) (or @t495 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t399 @t1 @t1) @t43 @t145))) @t398 @t52))) % 2.13/2.39 (assume @p373 (forall (@list @t17 @t358 @t1 @t32 @t61) (or @t495 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t397 @t1 @t1) @t32 @t145))) @t396 @t141))) % 2.13/2.39 (assume @p374 (forall (@list @t69 @t99 @t102 @t1 @t29 @t35 @t3) (or (tptp.hBOOL (tptp.c_in @t497 (tptp.c_Set_Oimage @t496 @t3 @t30 @t35) @t35)) (not (tptp.hBOOL (tptp.c_in @t170 @t3 @t30)))))) % 2.13/2.39 (assume @p375 (forall @t406 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t405 @t102 @t29 @t1) @t32 @t45)) @t404))) % 2.13/2.39 (assume @p376 (forall @t406 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t407 @t102 @t29 @t1) @t32 @t45)) @t404))) % 2.13/2.39 (assume @p377 (forall @t500 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t99 @t32 @t1 @t29) @t1 @t29) @t32 @t30)) @t499))) % 2.13/2.39 (assume @p378 (forall @t500 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t99 @t32 @t1 @t29) @t1 @t29) @t32 @t30)) @t499))) % 2.13/2.39 (assume @p379 (forall @t424 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t423 @t15 @t1 @t1) @t43 @t145)) @t422))) % 2.13/2.39 (assume @p380 (forall @t455 (or @t143 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t420 @t1 @t1) @t32 @t145))) @t414))) % 2.13/2.39 (assume @p381 (forall @t501 (or @t360 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t425 tptp.t_a tptp.t_a) @t32 @t445))) @t417))) % 2.13/2.39 (assume @p382 (forall @t428 (or @t427 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t426 @t15 @t1 @t1) @t32 @t145))))) % 2.13/2.39 (assume @p383 (forall @t504 (or @t360 @t503 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t502 @t418 tptp.t_a tptp.t_a) @t32 @t445))) @t417))) % 2.13/2.39 (assume @p384 (forall @t501 (or @t360 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t418 tptp.t_a tptp.t_a) @t32 @t445))) @t417))) % 2.13/2.39 (assume @p385 (forall @t504 (or @t360 @t503 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t502 @t425 tptp.t_a tptp.t_a) @t32 @t445))) @t417))) % 2.13/2.39 (assume @p386 (forall @t455 (or @t143 @t454 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t415 @t1 @t1) @t32 @t145))) @t414))) % 2.13/2.39 (assume @p387 (forall @t380 (or @t379 @t402))) % 2.13/2.39 (assume @p388 (forall @t378 (or @t401 @t377 @t141))) % 2.13/2.39 (assume @p389 (forall (@list @t102 @t32 @t1 @t29) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t102 @t32 @t1 @t29) @t102 @t29 @t1) @t32 @t45)) (not (tptp.hBOOL (tptp.c_in @t102 @t299 @t1)))))) % 2.13/2.39 (assume @p390 (forall @t500 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t99 @t32 @t1 @t29) @t99 @t29 @t1) @t32 @t45)) (not @t505)))) % 2.13/2.39 (assume @p391 (forall @t471 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t479 @t1 @t1) @t150 @t145)) @t469))) % 2.13/2.39 (assume @p392 (forall @t480 (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t470 @t17 @t1 @t1) @t150 @t145)) @t469))) % 2.13/2.39 (assume @p393 (forall (@list @t99 @t32 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t99 @t341 @t1)) @t242 @t328))) % 2.13/2.39 (assume @p394 (forall @t508 (or (not (tptp.hBOOL (tptp.c_in @t507 @t506 @t434))) @t437 @t269))) % 2.13/2.39 (assume @p395 (forall @t516 (or @t515 @t513 @t513 @t437 @t512 @t511))) % 2.13/2.39 (assume @p396 (forall (@list @t15 @t102 @t17 @t436) (or @t521 @t224 @t437 @t521 @t520 @t519))) % 2.13/2.39 (assume @p397 (forall (@list @t15 @t17 @t436 @t102 @t99) (or @t518 @t523 @t521 (not @t522) @t437 @t269))) % 2.13/2.39 (assume @p398 (forall @t524 (or @t513 (not @t511) @t437 @t512 @t514 (= @t61 @t99)))) % 2.13/2.39 (assume @p399 (forall (@list @t15 @t17 @t436 @t99) (or (not @t526) @t437 @t512 @t525))) % 2.13/2.39 (assume @p400 (forall @t529 (or @t522 @t519 @t528 @t527 @t224 @t437 @t269))) % 2.13/2.39 (assume @p401 (forall @t532 (or @t531 @t513 @t437 @t513 @t530))) % 2.13/2.39 (assume @p402 (forall (@list @t99 @t17 @t436 @t15) (or @t527 @t224 @t437 @t512 @t526))) % 2.13/2.39 (assume @p403 (forall @t529 (or @t522 @t519 @t523 @t521 @t224 @t437 @t269))) % 2.13/2.39 (assume @p404 (forall @t516 (or @t515 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t15 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) @t513 @t437 @t512 @t511))) % 2.13/2.39 (assume @p405 (forall (@list @t15 @t17 @t436 @t102) (or @t519 @t224 @t437 @t521 @t520 @t519))) % 2.13/2.39 (assume @p406 (forall @t529 (or @t522 @t519 @t523 @t527 @t224 @t437 @t269))) % 2.13/2.39 (assume @p407 (forall @t529 (or @t522 @t519 @t528 @t521 @t224 @t437 @t269))) % 2.13/2.39 (assume @p408 (forall @t532 (or @t513 @t513 @t437 @t513 @t530))) % 2.13/2.39 (assume @p409 (forall @t221 (or (tptp.c_lessequals @t490 @t32 @t146) @t433 @t173))) % 2.13/2.39 (assume @p410 (forall (@list @t102 @t32 @t99 @t29 @t1) (or @t534 (not @t533)))) % 2.13/2.39 (assume @p411 (forall @t301 (or @t533 (not @t534)))) % 2.13/2.39 (assume @p412 (forall (@list @t391 @t393 @t15 @t17 @t1 @t32 @t3) (or @t395 @t333 (not (tptp.hBOOL (tptp.c_in @t17 @t393 @t1))) (not (tptp.hBOOL (tptp.c_in @t15 @t391 @t1))) @t394 @t392 @t328))) % 2.13/2.39 (assume @p413 (forall (@list @t17 @t15 @t1 @t61 @t3 @t32) (or (not (tptp.hBOOL (tptp.c_in @t17 @t15 @t1))) (not (tptp.hBOOL (tptp.c_in @t61 @t15 @t1))) @t535 @t535 @t328 (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t61 @t17 @t1 @t1) @t32 @t145))))) % 2.13/2.39 (assume @p414 (forall @t537 (or @t536 @t333 @t328))) % 2.13/2.39 (assume @p415 (forall @t342 (or @t538 @t339 @t328))) % 2.13/2.39 (assume @p416 (forall @t342 (or (not @t538) @t338 @t481 @t328))) % 2.13/2.39 (assume @p417 (forall @t537 (or @t539 @t328 @t332 @t330 @t126))) % 2.13/2.39 (assume @p418 (forall @t537 (or @t536 @t333 @t330 @t126 @t328))) % 2.13/2.39 (assume @p419 (forall @t537 (or @t539 @t330 @t126 @t328 @t332))) % 2.13/2.39 (assume @p420 (forall (@list @t17 @t15 @t436) (or @t540 @t518 @t224 @t437))) % 2.13/2.39 (assume @p421 (forall (@list @t102 @t99 @t436) (or (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t102 @t99 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t436 @t434))) (not (tptp.hBOOL (tptp.c_in @t541 @t436 @t434))) @t437))) % 2.13/2.39 (assume @p422 (forall @t545 (or @t544 @t414 @t543))) % 2.13/2.39 (assume @p423 (forall @t545 (or @t544 @t543 @t414))) % 2.13/2.39 (assume @p424 (forall (@list @t15 @t43 @t1) (or @t547 @t546))) % 2.13/2.39 (assume @p425 (forall @t550 (or @t224 @t549 @t547))) % 2.13/2.39 (assume @p426 (forall @t558 (or @t557 @t555 @t224 @t437 @t521 @t554))) % 2.13/2.39 (assume @p427 (forall @t559 (or @t519 (not @t540) @t224 @t437))) % 2.13/2.39 (assume @p428 (forall @t561 (or (tptp.hBOOL (tptp.c_in @t364 @t177 @t145)) @t560))) % 2.13/2.39 (assume @p429 (forall @t561 (or @t411 @t560))) % 2.13/2.39 (assume @p430 (forall @t566 (or @t565 @t563 @t339))) % 2.13/2.39 (assume @p431 (forall @t566 (or @t565 @t567 @t346))) % 2.13/2.39 (assume @p432 (forall @t550 (or @t548 @t469 @t224))) % 2.13/2.39 (assume @p433 (forall @t550 (or @t468 @t224 @t549))) % 2.13/2.39 (assume @p434 (forall (@list @t99 @t102 @t1 @t43) (or (tptp.hBOOL (tptp.c_in @t337 @t467 @t145)) @t269 (not (tptp.hBOOL (tptp.c_in @t337 @t150 @t145)))))) % 2.13/2.39 (assume @p435 (forall @t380 (or @t570 (not @t568)))) % 2.13/2.39 (assume @p436 (forall @t378 (or @t568 (not @t570)))) % 2.13/2.39 (assume @p437 (forall (@list @t14 @t17 @t1 @t32 @t15) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t14 @t17 @t1 @t1) @t177 @t145)) (tptp.hBOOL (tptp.c_in @t571 @t177 @t145)) (not (tptp.hBOOL (tptp.c_in @t462 @t177 @t145))) @t379 (not (tptp.c_Relation_Osingle__valued @t32 @t1 @t1))))) % 2.13/2.39 (assume @p438 (forall @t572 (or @t345 @t477))) % 2.13/2.39 (assume @p439 (forall @t566 (or @t565 @t563 @t477))) % 2.13/2.39 (assume @p440 (forall @t573 (or @t463 (not (tptp.hBOOL (tptp.c_in @t571 @t410 @t145))) @t379))) % 2.13/2.39 (assume @p441 (forall @t380 (or @t577 (not @t575)))) % 2.13/2.39 (assume @p442 (forall @t380 (or @t575 (not @t577)))) % 2.13/2.39 (assume @p443 (forall (@list @t69 @t29 @t35 @t1 @t99 @t102) (= (tptp.hAPP (tptp.c_split @t69 @t29 @t35 @t1) @t578) @t497))) % 2.13/2.39 (assume @p444 (forall (@list @t69 @t1 @t29 @t35 @t99 @t102) (= (tptp.hAPP @t496 @t170) @t497))) % 2.13/2.39 (assume @p445 (forall (@list @t43 @t99 @t102 @t228 @t1 @t29 @t35) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t43 @t99) @t102) @t228)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t43 @t1 @t29 (tptp.tc_fun @t35 tptp.tc_bool)) @t170) @t228)))))) % 2.13/2.39 (assume @p446 (forall @t580 (or @t361 @t579))) % 2.13/2.39 (assume @p447 (forall @t581 (not (tptp.hBOOL (tptp.c_in @t99 @t60 @t1))))) % 2.13/2.39 (assume @p448 (forall (@list @t228 @t1) (not (tptp.hBOOL (tptp.c_in @t228 @t60 @t1))))) % 2.13/2.39 (assume @p449 (forall @t580 (or @t360 @t579))) % 2.13/2.39 (assume @p450 (forall @t357 @t579)) % 2.13/2.39 (assume @p451 (forall @t428 (or @t427 @t141))) % 2.13/2.39 (assume @p452 (forall @t26 (tptp.c_Relation_Osingle__valued @t440 @t1 @t1))) % 2.13/2.39 (assume @p453 (forall @t221 (or (tptp.c_Relation_Osym @t410 @t1) @t173))) % 2.13/2.39 (assume @p454 (forall @t221 (or (= @t410 @t32) @t433))) % 2.13/2.39 (assume @p455 (forall @t221 (or @t172 (not @t582)))) % 2.13/2.39 (assume @p456 (forall @t221 (or @t582 @t173))) % 2.13/2.39 (assume @p457 (forall @t221 (= (tptp.c_Relation_ODomain @t410 @t1 @t1) @t431))) % 2.13/2.39 (assume @p458 (forall @t238 (tptp.c_Relation_Osym @t343 @t1))) % 2.13/2.39 (assume @p459 (forall @t26 (tptp.c_Relation_Otrans @t440 @t1))) % 2.13/2.39 (assume @p460 (forall (@list @t1 @t43 @t29) (= (tptp.c_Relation_Orel__comp @t343 @t43 @t1 @t1 @t29) @t43))) % 2.13/2.39 (assume @p461 (forall @t583 (= (tptp.c_Relation_Orel__comp @t43 (tptp.c_Relation_OId @t29) @t1 @t29 @t29) @t43))) % 2.13/2.39 (assume @p462 (forall @t26 (tptp.c_Relation_Oantisym @t440 @t1))) % 2.13/2.39 (assume @p463 (forall @t221 (or (tptp.c_Wellfounded_Owf @t576 @t1) (not (tptp.c_Wellfounded_Owf @t218 @t1))))) % 2.13/2.39 (assume @p464 (forall @t277 (or @t201 (not @t584)))) % 2.13/2.39 (assume @p465 (forall @t277 (or @t584 @t202))) % 2.13/2.39 (assume @p466 (forall @t221 (or (tptp.c_Relation_Osym @t177 @t1) @t173))) % 2.13/2.39 (assume @p467 (forall @t432 (or @t585 @t52))) % 2.13/2.39 (assume @p468 (forall @t432 (or @t51 (not @t585)))) % 2.13/2.39 (assume @p469 (forall @t157 (= (tptp.c_Relation_OImage @t343 @t3 @t1 @t1) @t3))) % 2.13/2.39 (assume @p470 (forall @t238 (tptp.c_Relation_Osingle__valued @t343 @t1 @t1))) % 2.13/2.39 (assume @p471 (forall (@list @t53 @t358 @t29 @t35 @t1 @t43) (= (tptp.hAPP (tptp.c_COMBC @t53 @t358 @t29 @t35 @t1) @t43) (tptp.hAPP (tptp.hAPP @t53 @t43) @t358)))) % 2.13/2.39 (assume @p472 (forall (@list @t53 @t358 @t29 @t1 @t35 @t43) (= (tptp.hAPP (tptp.c_COMBB @t53 @t358 @t29 @t1 @t35) @t43) (tptp.hAPP @t53 (tptp.hAPP @t358 @t43))))) % 2.13/2.39 (assume @p473 (forall @t26 (= (tptp.c_Relation_ODomain @t440 @t1 @t1) @t3))) % 2.13/2.39 (assume @p474 (forall @t221 (or @t586 @t173))) % 2.13/2.39 (assume @p475 (forall @t221 (or (not @t586) @t172))) % 2.13/2.39 (assume @p476 (forall @t221 (= (tptp.c_Relation_ORange @t410 @t1 @t1) (tptp.c_Relation_ORange @t32 @t1 @t1)))) % 2.13/2.39 (assume @p477 (forall @t221 (tptp.c_Relation_Otrans @t410 @t1))) % 2.13/2.39 (assume @p478 (forall (@list @t32 @t37 @t29 @t35 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t32 @t37 @t29 @t35 @t1) @t29 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t37 @t35 @t1) (tptp.c_Relation_Oconverse @t32 @t29 @t35) @t1 @t35 @t29)))) % 2.13/2.39 (assume @p479 (forall @t26 (tptp.c_Relation_Osym @t440 @t1))) % 2.13/2.39 (assume @p480 (forall @t26 (tptp.c_Relation_Orefl__on @t3 @t440 @t1))) % 2.13/2.39 (assume @p481 (forall @t588 (or (tptp.c_Wellfounded_Owf @t587 @t29) @t141))) % 2.13/2.39 (assume @p482 (forall @t221 (= @t589 @t489))) % 2.13/2.39 (assume @p483 (forall (@list @t29) (or (not (tptp.class_Orderings_Obot @t29)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t116) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t29))))) % 2.13/2.39 (assume @p484 (forall @t588 (or (tptp.c_Relation_Osym @t587 @t29) @t173))) % 2.13/2.39 (assume @p485 (forall @t432 (= (tptp.c_Transitive__Closure_Otrancl @t150 @t1) @t150))) % 2.13/2.39 (assume @p486 (forall @t221 (tptp.c_Relation_Otrans @t177 @t1))) % 2.13/2.39 (assume @p487 (forall @t221 (or @t349 (not @t590)))) % 2.13/2.39 (assume @p488 (forall @t221 (or @t590 @t433))) % 2.13/2.39 (assume @p489 (forall @t238 (= (tptp.c_Relation_Oconverse @t343 @t1 @t1) @t343))) % 2.13/2.39 (assume @p490 (forall @t221 (or (tptp.c_Wellfounded_Owf @t410 @t1) @t141))) % 2.13/2.39 (assume @p491 (forall @t583 (= (tptp.c_Relation_OImage @t43 @t68 @t29 @t1) @t60))) % 2.13/2.39 (assume @p492 (forall (@list @t43 @t42 @t1 @t591 @t35 @t282 @t29) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t43 @t42 @t1 @t591 @t35) @t282 @t1 @t35 @t29) (tptp.c_Relation_Orel__comp @t43 (tptp.c_Relation_Orel__comp @t42 @t282 @t591 @t35 @t29) @t1 @t591 @t29)))) % 2.13/2.39 (assume @p493 (forall (@list @t43 @t69 @t29 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t43 @t69 @t29 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t43 @t29 @t29) @t69 @t29 @t1)))) % 2.13/2.39 (assume @p494 (forall @t221 (= @t574 @t576))) % 2.13/2.39 (assume @p495 (forall @t588 (or (tptp.c_Relation_Otrans @t587 @t29) @t433))) % 2.13/2.39 (assume @p496 (forall @t26 (= (tptp.c_Relation_Oconverse @t440 @t1 @t1) @t440))) % 2.13/2.39 (assume @p497 (forall @t221 (or (not @t592) (tptp.c_Equiv__Relations_Oequiv @t431 @t32 @t1)))) % 2.13/2.39 (assume @p498 (forall @t238 (tptp.c_Relation_Oantisym @t343 @t1))) % 2.13/2.39 (assume @p499 (forall @t594 (= (tptp.c_Relation_ORange @t593 @t29 @t1) @t169))) % 2.13/2.39 (assume @p500 (forall @t26 (= (tptp.c_Relation_ORange @t440 @t1 @t1) @t3))) % 2.13/2.39 (assume @p501 (forall (@list @t32 @t37 @t1 @t29 @t35) (or (tptp.c_Relation_Osingle__valued @t41 @t1 @t35) (not (tptp.c_Relation_Osingle__valued @t37 @t29 @t35)) @t595))) % 2.13/2.39 (assume @p502 (forall @t594 (= (tptp.c_Relation_Oconverse @t593 @t29 @t1) @t32))) % 2.13/2.39 (assume @p503 (forall @t238 (tptp.c_Relation_Otrans @t343 @t1))) % 2.13/2.39 (assume @p504 (forall @t350 (or @t592 @t328))) % 2.13/2.39 (assume @p505 (forall @t432 (= (tptp.c_Relation_Orel__comp @t150 @t150 @t1 @t1 @t1) @t150))) % 2.13/2.39 (assume @p506 (forall @t221 (or @t366 (not @t596)))) % 2.13/2.39 (assume @p507 (forall @t221 (or @t596 @t442))) % 2.13/2.39 (assume @p508 (forall @t28 (not (tptp.hBOOL (tptp.hAPP @t60 @t15))))) % 2.13/2.39 (assume @p509 (forall @t277 (or @t201 @t328))) % 2.13/2.39 (assume @p510 (forall @t221 (= @t569 (tptp.c_Relation_Oconverse @t177 @t1 @t1)))) % 2.13/2.39 (assume @p511 (forall (@list @t1 @t32) (tptp.c_Relation_Ototal__on @t60 @t32 @t1))) % 2.13/2.39 (assume @p512 (forall @t350 (or @t172 @t328))) % 2.13/2.39 (assume @p513 (forall @t438 (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t552 @t17) tptp.c_Arrow__Order__Mirabelle_OLin @t435)) @t437 @t224))) % 2.13/2.39 (assume @p514 (forall (@list @t598 @t69 @t99 @t29 @t35 @t3 @t1 @t597) (or (tptp.c_Equiv__Relations_Ocongruent @t598 @t244 @t29 @t35) @t242 @t599 (not (tptp.c_Equiv__Relations_Oequiv @t3 @t597 @t1))))) % 2.13/2.39 (assume @p515 (forall @t601 (or (tptp.hBOOL (tptp.c_in @t600 tptp.c_Arrow__Order__Mirabelle_OLin @t435)) @t437))) % 2.13/2.39 (assume @p516 (forall @t601 (or (tptp.hBOOL (tptp.c_in @t602 tptp.c_Arrow__Order__Mirabelle_OLin @t435)) @t437))) % 2.13/2.39 (assume @p517 (forall @t604 (or (tptp.hBOOL (tptp.c_in @t603 tptp.c_Arrow__Order__Mirabelle_OLin @t435)) @t269))) % 2.13/2.39 (assume @p518 (forall @t606 (= @t605 @t299))) % 2.13/2.39 (assume @p519 (forall @t221 (= @t410 @t489))) % 2.13/2.39 (assume @p520 (forall @t221 (= @t410 @t589))) % 2.13/2.39 (assume @p521 (forall @t606 (= @t299 @t605))) % 2.13/2.39 (assume @p522 (forall @t277 (or @t276 (not @t607)))) % 2.13/2.39 (assume @p523 (forall @t277 (or @t607 @t444))) % 2.13/2.39 (assume @p524 (forall @t350 (or @t349 @t328))) % 2.13/2.39 (assume @p525 (forall @t432 (= (tptp.c_Transitive__Closure_Ortrancl @t467 @t1) @t150))) % 2.13/2.39 (assume @p526 (forall @t221 (= (tptp.c_Transitive__Closure_Ortrancl @t177 @t1) @t177))) % 2.13/2.39 (assume @p527 (forall @t524 (or @t531 @t513 @t437 @t512 @t609 @t531))) % 2.13/2.39 (assume @p528 (forall @t529 (or @t612 @t519 @t610 @t555 @t224 @t437 @t269))) % 2.13/2.39 (assume @p529 (forall @t529 (or @t612 @t519 @t557 @t613 @t224 @t437 @t269))) % 2.13/2.39 (assume @p530 (forall @t532 (or @t513 @t616 @t437 @t616 @t615))) % 2.13/2.39 (assume @p531 (forall @t508 (or (not (tptp.hBOOL (tptp.c_in @t507 @t611 @t434))) @t437 @t269))) % 2.13/2.39 (assume @p532 (forall @t558 (or @t557 @t167 @t224 @t437 @t521 @t554))) % 2.13/2.39 (assume @p533 (forall (@list @t15 @t99 @t61 @t436) (or @t610 @t513 @t437 @t512 @t609 @t531))) % 2.13/2.39 (assume @p534 (forall @t529 (or @t518 @t610 @t613 (not @t612) @t437 @t269))) % 2.13/2.39 (assume @p535 (forall (@list @t17 @t15 @t436 @t102) (or @t167 (not @t554) @t437 @t521 @t556 @t523))) % 2.13/2.39 (assume @p536 (forall (@list @t61 @t15 @t436 @t102) (or (not @t618) @t437 @t521 @t617))) % 2.13/2.39 (assume @p537 (forall @t529 (or @t612 @t519 @t557 @t555 @t224 @t437 @t269))) % 2.13/2.39 (assume @p538 (forall (@list @t15 @t61 @t436) (or (not (tptp.hBOOL (tptp.c_in @t614 @t436 @t434))) @t616 @t437 @t616 @t615))) % 2.13/2.39 (assume @p539 (forall (@list @t61 @t102 @t436 @t15) (or (not @t617) @t513 @t437 @t521 @t618))) % 2.13/2.39 (assume @p540 (forall @t529 (or @t612 @t519 @t610 @t613 @t224 @t437 @t269))) % 2.13/2.39 (assume @p541 (forall (@list @t14 @t228 @t29 @t35 @t1 @t99 @t102) (or (tptp.hBOOL (tptp.c_in @t14 (tptp.hAPP (tptp.c_split @t228 @t29 @t35 @t2) @t578) @t1)) (not (tptp.hBOOL (tptp.c_in @t14 (tptp.hAPP (tptp.hAPP @t228 @t99) @t102) @t1)))))) % 2.13/2.39 (assume @p542 (forall (@list @t69 @t620 @t623 @t619 @t622 @t29 @t598 @t1 @t597 @t35) (or (= (tptp.hAPP (tptp.hAPP @t69 @t620) @t623) (tptp.hAPP (tptp.hAPP @t69 @t619) @t622)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t623 @t622 @t29 @t29) @t598 @t621))) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t620 @t619 @t1 @t1) @t597 @t145))) @t599))) % 2.13/2.39 (assume @p543 (forall (@list @t17 @t14 @t15 @t1 @t29 @t32) (or @t625 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t14 @t1 @t29) @t32 @t30))) (not (tptp.hBOOL (tptp.c_in @t624 @t32 @t30))) @t595))) % 2.13/2.39 (assume @p544 (forall (@list @t69 @t43 @t99 @t1 @t29 @t15) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t69 @t43 @t99 @t1 @t29) @t15) @t121) (not (tptp.hBOOL (tptp.c_in @t626 @t43 @t145)))))) % 2.13/2.39 (assume @p545 (forall (@list @t69 @t32 @t99 @t1 @t29 @t15) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t69 @t32 @t99 @t1 @t29) @t15) @t121) @t627))) % 2.13/2.39 (assume @p546 (forall (@list @t43 @t15 @t17 @t1 @t29) (or @t629 (not @t628)))) % 2.13/2.39 (assume @p547 (forall (@list @t15 @t17 @t1 @t29 @t43) (or @t628 (not @t629)))) % 2.13/2.39 (assume @p548 (forall @t573 (or @t465 @t630 @t333 @t433))) % 2.13/2.39 (assume @p549 (forall @t566 (or (tptp.hBOOL (tptp.c_in @t564 @t32 @t145)) @t567 @t339 @t433))) % 2.13/2.39 (assume @p550 (forall @t171 (or @t633 (not @t632)))) % 2.13/2.39 (assume @p551 (forall @t635 (or (tptp.hBOOL (tptp.c_in @t631 @t593 @t45)) @t634))) % 2.13/2.39 (assume @p552 (forall @t635 (or @t632 (not @t633)))) % 2.13/2.39 (assume @p553 (forall @t461 (or @t460 @t494))) % 2.13/2.39 (assume @p554 (forall @t566 (or @t565 @t567 @t477))) % 2.13/2.39 (assume @p555 (forall @t566 (or @t565 @t636 @t339))) % 2.13/2.39 (assume @p556 (forall @t566 (or @t637 @t567 @t346))) % 2.13/2.39 (assume @p557 (forall @t566 (or @t637 @t563 @t339))) % 2.13/2.39 (assume @p558 (forall @t572 (or @t476 @t339))) % 2.13/2.39 (assume @p559 (forall @t566 (or @t637 @t563 @t346))) % 2.13/2.39 (assume @p560 (forall @t639 (tptp.hBOOL (tptp.c_in @t638 @t177 @t145)))) % 2.13/2.39 (assume @p561 (forall (@list @t15 @t1 @t43) @t546)) % 2.13/2.39 (assume @p562 (forall (@list @t15 @t99 @t1 @t32) (or @t627 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t15 @t1 @t1) @t32 @t145))) @t141))) % 2.13/2.39 (assume @p563 (forall @t380 (or @t224 @t641 @t333 @t442))) % 2.13/2.39 (assume @p564 (forall @t572 (or @t269 (not @t642) @t339 @t442))) % 2.13/2.39 (assume @p565 (forall (@list @t69 @t17 @t14 @t1 @t32 @t29) (or (= @t643 (tptp.hAPP @t69 @t14)) @t630 (not (tptp.c_Equiv__Relations_Ocongruent @t32 @t69 @t1 @t29))))) % 2.13/2.39 (assume @p566 (forall (@list @t15 @t17 @t1 @t3) (or @t224 @t644))) % 2.13/2.39 (assume @p567 (forall (@list @t69 @t32 @t15 @t1 @t29 @t113 @t17) (or (not @t304) (= @t643 (tptp.hAPP @t113 @t17)) @t641))) % 2.13/2.39 (assume @p568 (forall (@list @t99 @t102 @t1) (or @t269 (not (tptp.hBOOL (tptp.c_in @t337 @t343 @t145)))))) % 2.13/2.39 (assume @p569 (forall @t461 (or @t459 (not @t493)))) % 2.13/2.39 (assume @p570 (forall @t639 (or (not @t645) @t141))) % 2.13/2.39 (assume @p571 (forall (@list @t15 @t17 @t1 @t32 @t69 @t29) (or @t647 (not @t646)))) % 2.13/2.39 (assume @p572 (forall (@list @t69 @t15 @t17 @t29 @t32 @t1) (or @t646 (not @t647)))) % 2.13/2.39 (assume @p573 (forall @t378 (or @t640 @t333 @t173))) % 2.13/2.39 (assume @p574 (forall (@list @t102 @t99 @t1 @t32) (or @t642 @t339 @t173))) % 2.13/2.39 (assume @p575 (forall (@list @t99 @t228 @t1 @t35 @t32 @t37 @t29 @t102) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t228 @t1 @t35) @t41 @t39)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t102 @t228 @t29 @t35) @t37 @t36))) @t634))) % 2.13/2.39 (assume @p576 (forall (@list @t99 @t228 @t1 @t43 @t102) (or (tptp.hBOOL (tptp.c_in @t564 @t467 @t145)) (not (tptp.hBOOL (tptp.c_in @t562 @t43 @t145))) (not (tptp.hBOOL (tptp.c_in @t337 @t43 @t145)))))) % 2.13/2.39 (assume @p577 (forall @t566 (or @t565 @t636 @t477))) % 2.13/2.39 (assume @p578 (forall @t357 (tptp.hBOOL (tptp.c_in @t458 @t343 @t145)))) % 2.13/2.39 (assume @p579 (forall @t581 (tptp.hBOOL (tptp.c_in @t638 @t343 @t145)))) % 2.13/2.39 (assume @p580 (= (tptp.hAPP @t648 tptp.v_x) (tptp.c_in tptp.v_x @t648 tptp.t_a))) % 2.13/2.39 (assume @p581 (or @t655 (not @t654))) % 2.13/2.39 (assume @p582 (or @t654 @t656)) % 2.13/2.39 (assume @p583 (or @t660 @t658)) % 2.13/2.39 (assume @p584 (or @t657 (not @t660))) % 2.13/2.39 (assume @p585 (or @t657 @t656)) % 2.13/2.39 (assume @p586 (or @t655 @t658)) % 2.13/2.39 (assume @p587 (forall @t663 (or @t662 @t519 @t224 @t661))) % 2.13/2.39 (assume @p588 (forall @t663 (or @t662 @t519 @t625 @t661))) % 2.13/2.39 (assume @p589 (forall @t664 (not (tptp.hBOOL (tptp.c_in @t507 @t602 @t434))))) % 2.13/2.39 (assume @p590 (forall @t559 (not (tptp.hBOOL (tptp.c_in @t517 @t602 @t434))))) % 2.13/2.39 (assume @p591 (forall @t663 (or @t518 @t625 (not @t662)))) % 2.13/2.39 (assume @p592 (forall @t559 (or @t224 @t167 (tptp.hBOOL (tptp.c_in @t517 @t600 @t434))))) % 2.13/2.39 (assume @p593 (forall @t664 (not (tptp.hBOOL (tptp.c_in @t507 @t600 @t434))))) % 2.13/2.39 (assume @p594 (forall @t532 (not (tptp.hBOOL (tptp.c_in @t510 @t600 @t434))))) % 2.13/2.39 (assume @p595 (forall @t663 (or @t665 @t519 @t224 @t625))) % 2.13/2.39 (assume @p596 (forall @t663 (or @t665 @t519 @t661 @t625))) % 2.13/2.39 (assume @p597 (forall @t532 (or @t513 @t513 (tptp.hBOOL (tptp.c_in @t510 @t602 @t434))))) % 2.13/2.39 (assume @p598 (forall @t663 (or @t518 @t661 (not @t665)))) % 2.13/2.39 (assume @p599 (forall @t604 (or (tptp.hBOOL (tptp.c_in @t541 @t603 @t434)) @t269))) % 2.13/2.39 (assume @p600 (forall (@list @t99 @t102 @t1 @t29 @t3 @t6) (or @t667 (not @t666) @t242))) % 2.13/2.39 (assume @p601 (forall (@list @t99 @t32 @t1 @t102) (or @t413 @t339 (not @t544)))) % 2.13/2.39 (assume @p602 (forall (@list @t17 @t32 @t1 @t99) (or (tptp.hBOOL (tptp.c_in @t17 @t412 @t1)) (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t17 @t99 @t1 @t1) @t32 @t145))) @t414))) % 2.13/2.39 (assume @p603 (forall (@list @t102 @t32 @t3 @t1 @t29 @t99) (or (tptp.hBOOL (tptp.c_in @t102 @t375 @t29)) @t634 @t242))) % 2.13/2.39 (assume @p604 (forall (@list @t102 @t32 @t3 @t29 @t1 @t15) (or @t403 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t102 @t29 @t1) @t32 @t45))) @t120))) % 2.13/2.39 (assume @p605 (forall (@list @t15 @t3 @t1 @t17) (or @t125 @t644))) % 2.13/2.39 (assume @p606 (forall (@list @t15 @t1 @t3) (or (tptp.hBOOL (tptp.c_in @t458 @t440 @t145)) @t126))) % 2.13/2.39 (assume @p607 (forall @t668 (or @t329 @t333 @t328))) % 2.13/2.39 (assume @p608 (forall @t669 (or @t125 @t333 @t328))) % 2.13/2.39 (assume @p609 (forall (@list @t99 @t32 @t29 @t1 @t15) (or @t505 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t99 @t29 @t1) @t32 @t45)))))) % 2.13/2.39 (assume @p610 (forall (@list @t102 @t32 @t1 @t29 @t99) (or (tptp.hBOOL (tptp.c_in @t102 (tptp.c_Relation_ORange @t32 @t1 @t29) @t29)) @t634))) % 2.13/2.39 (assume @p611 (forall (@list @t99 @t32 @t1 @t29 @t15) (or @t498 (not (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t99 @t15 @t1 @t29) @t32 @t30)))))) % 2.13/2.39 (assume @p612 (forall (@list @t99 @t32 @t1 @t29 @t102) (or @t498 @t634))) % 2.13/2.39 (assume @p613 (forall (@list @t102 @t6 @t99 @t29 @t1 @t3) (or @t666 @t670))) % 2.13/2.39 (assume @p614 (forall (@list @t99 @t3 @t1 @t102 @t29 @t6) (or @t241 @t670))) % 2.13/2.39 (assume @p615 (forall (@list @t61 @t15 @t1 @t32 @t3) (or (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t61 @t15 @t1 @t1) @t32 @t145)) (tptp.hBOOL (tptp.c_in (tptp.c_Pair @t15 @t61 @t1 @t1) @t32 @t145)) @t616 (not (tptp.hBOOL (tptp.c_in @t61 @t3 @t1))) @t126 @t444))) % 2.13/2.39 (assume @p616 (forall (@list @t15 @t1 @t32 @t3) (or @t459 @t126 @t202))) % 2.13/2.39 (assume @p617 (forall @t668 (or @t329 @t333 @t202))) % 2.13/2.39 (assume @p618 (forall @t669 (or @t125 @t333 @t202))) % 2.13/2.39 (assume @p619 (forall (@list @t99 @t1 @t32 @t3) (or @t645 @t242 @t202))) % 2.13/2.39 (assume @p620 (forall @t674 (or @t673 (= @t102 @t671)))) % 2.13/2.39 (assume @p621 (forall @t674 (or @t673 (= @t99 @t672)))) % 2.13/2.39 (assume @p622 (forall @t679 (or @t678 (not @t676)))) % 2.13/2.39 (assume @p623 (forall @t679 (or @t676 @t680))) % 2.13/2.39 (assume @p624 (forall (@list @t15 @t42 @t1) (or @t682 (not @t681)))) % 2.13/2.39 (assume @p625 (forall (@list @t42 @t15 @t1) (or @t681 (not @t682)))) % 2.13/2.39 (assume @p626 (forall @t679 (or @t683 @t680))) % 2.13/2.39 (assume @p627 (forall @t679 (or @t678 (not @t683)))) % 2.13/2.39 (assume @p628 (or @t686 @t685)) % 2.13/2.39 (assume @p629 (or @t688 @t687)) % 2.13/2.39 (assume @p630 (forall @t693 (or (tptp.class_Lattices_Oupper__semilattice @t692) @t690))) % 2.13/2.39 (assume @p631 (forall @t693 (or (tptp.class_Lattices_Olower__semilattice @t692) @t690))) % 2.13/2.39 (assume @p632 (forall @t693 (or (tptp.class_Lattices_Odistrib__lattice @t692) (not (tptp.class_Lattices_Odistrib__lattice @t689))))) % 2.13/2.39 (assume @p633 (forall @t693 (or (tptp.class_Lattices_Obounded__lattice @t692) (not (tptp.class_Lattices_Obounded__lattice @t689))))) % 2.13/2.39 (assume @p634 (forall @t693 (or (tptp.class_Orderings_Opreorder @t692) (not (tptp.class_Orderings_Opreorder @t689))))) % 2.13/2.39 (assume @p635 (forall @t693 (or (tptp.class_Lattices_Olattice @t692) @t690))) % 2.13/2.39 (assume @p636 (forall @t693 (or (tptp.class_Orderings_Oorder @t692) (not (tptp.class_Orderings_Oorder @t689))))) % 2.13/2.39 (assume @p637 (forall @t693 (or (tptp.class_Orderings_Obot @t692) (not (tptp.class_Orderings_Obot @t689))))) % 2.13/2.39 (assume @p638 (forall @t693 (or (tptp.class_HOL_Ominus @t692) (not (tptp.class_HOL_Ominus @t689))))) % 2.13/2.39 (assume @p639 (forall @t693 (or (tptp.class_HOL_Oord @t692) (not (tptp.class_HOL_Oord @t689))))) % 2.13/2.39 (assume @p640 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 2.13/2.39 (assume @p641 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 2.13/2.39 (assume @p642 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 2.13/2.39 (assume @p643 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 2.13/2.39 (assume @p644 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 2.13/2.39 (assume @p645 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 2.13/2.39 (assume @p646 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 2.13/2.39 (assume @p647 (tptp.class_Orderings_Obot tptp.tc_bool)) % 2.13/2.39 (assume @p648 (tptp.class_HOL_Ominus tptp.tc_bool)) % 2.13/2.39 (assume @p649 (tptp.class_HOL_Oord tptp.tc_bool)) % 2.13/2.39 (assume @p650 (forall @t357 (tptp.c_fequal @t15 @t15 @t1))) % 2.13/2.39 (assume @p651 (forall (@list @t391 @t393 @t1) (or @t395 (not (tptp.c_fequal @t391 @t393 @t1))))) % 2.13/2.39 (step @p652 :rule instantiate :premises (@p623) :args (@t694)) % 2.13/2.39 (step @p653 :rule instantiate :premises (@p626) :args (@t694)) % 2.13/2.39 (step @p654 :rule cnf_or_pos :args (@t697)) % 2.13/2.39 (step @p655 :rule reordering :premises (@p654) :args ((or @t685 @t696 (not @t697)))) % 2.13/2.39 (step @p656 :rule instantiate :premises (@p622) :args (@t694)) % 2.13/2.39 (step @p657 :rule cnf_or_pos :args (@t698)) % 2.13/2.39 (step @p658 :rule reordering :premises (@p657) :args ((or @t688 @t695 (not @t698)))) % 2.13/2.39 (step @p659 :rule chain_m_resolution :premises (@p658 @p656 @p655 @p653 @p628) :args (@t685 (@list false true false false) (@list @t698 @t695 @t697 @t686))) % 2.13/2.39 (step @p660 :rule chain_m_resolution :premises (@p629 @p659) :args (@t688 (@list false) (@list @t685))) % 2.13/2.39 (step @p661 :rule instantiate :premises (@p627) :args (@t694)) % 2.13/2.39 (step @p662 :rule cnf_or_pos :args (@t699)) % 2.13/2.39 (step @p663 :rule reordering :premises (@p662) :args ((or @t687 @t695 (not @t699)))) % 2.13/2.39 (step @p664 :rule chain_m_resolution :premises (@p663 @p659 @p661) :args (@t695 (@list false false) (@list @t685 @t699))) % 2.13/2.39 (step @p665 :rule cnf_or_pos :args (@t700)) % 2.13/2.39 (step @p666 :rule reordering :premises (@p665) :args ((or @t686 @t696 (not @t700)))) % 2.13/2.39 (step @p667 false :rule chain_m_resolution :premises (@p666 @p664 @p660 @p652) :args (false (@list false true false) (@list @t695 @t686 @t700))) % 2.13/2.39 ) % 2.13/2.39 % SZS output end Proof % 2.13/2.39 % cvc5 exiting %------------------------------------------------------------------------------