%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT069-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:15 AM UTC 2026 % Result : Unsatisfiable 37.08s 37.38s % Output : Proof 37.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT069-1 : 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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:22:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/16.24 --- Run --no-e-matching --full-saturate-quant at 6... % 22.09/22.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.09/28.38 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.18/34.46 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.08/37.38 % SZS status Unsatisfiable % 37.08/37.38 % SZS output start Proof % 37.18/37.40 ( % 37.18/37.40 (declare-sort $$unsorted 0) % 37.18/37.40 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 37.18/37.40 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.v_P_H____ $$unsorted) % 37.18/37.40 (declare-const tptp.v_b_H____ $$unsorted) % 37.18/37.40 (declare-const tptp.v_a____ $$unsorted) % 37.18/37.40 (declare-const tptp.v_b____ $$unsorted) % 37.18/37.40 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.v_a_H____ $$unsorted) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.v_r $$unsorted) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.t_b $$unsorted) % 37.18/37.40 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.v_P____ $$unsorted) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.tc_bool $$unsorted) % 37.18/37.40 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 37.18/37.40 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.t_a $$unsorted) % 37.18/37.40 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.18/37.40 (define @t1 () (@var "T_a" $$unsorted)) % 37.18/37.40 (define @t2 () (@var "V_z" $$unsorted)) % 37.18/37.40 (define @t3 () (@var "V_x" $$unsorted)) % 37.18/37.40 (define @t4 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 37.18/37.40 (define @t5 () (@var "V_y" $$unsorted)) % 37.18/37.40 (define @t6 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t5 @t1)) % 37.18/37.40 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t1)) % 37.18/37.40 (define @t8 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 37.18/37.40 (define @t9 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t8 @t1)) % 37.18/37.40 (define @t10 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 37.18/37.40 (define @t11 () (@list @t1 @t3 @t5 @t2)) % 37.18/37.40 (define @t12 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t3 @t1)) % 37.18/37.40 (define @t13 () (@list @t1 @t5 @t2 @t3)) % 37.18/37.40 (define @t14 () (@var "V_R" $$unsorted)) % 37.18/37.40 (define @t15 () (tptp.c_Wellfounded_Owf @t14 @t1)) % 37.18/37.40 (define @t16 () (tptp.tc_fun @t1 tptp.tc_bool)) % 37.18/37.40 (define @t17 () (tptp.c_Orderings_Obot__class_Obot @t16)) % 37.18/37.40 (define @t18 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1 @t14 @t1)) % 37.18/37.40 (define @t19 () (@list @t14 @t1)) % 37.18/37.40 (define @t20 () (@var "V_A" $$unsorted)) % 37.18/37.40 (define @t21 () (@list @t20 @t1)) % 37.18/37.40 (define @t22 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 37.18/37.40 (define @t23 () (@list @t1 @t3)) % 37.18/37.40 (define @t24 () (@var "T_b" $$unsorted)) % 37.18/37.40 (define @t25 () (@var "V_S" $$unsorted)) % 37.18/37.40 (define @t26 () (tptp.c_Relation_OImage @t14 @t20 @t24 @t1)) % 37.18/37.40 (define @t27 () (tptp.tc_prod @t24 @t1)) % 37.18/37.40 (define @t28 () (tptp.tc_fun @t27 tptp.tc_bool)) % 37.18/37.40 (define @t29 () (@var "V_B" $$unsorted)) % 37.18/37.40 (define @t30 () (tptp.c_Relation_OImage @t14 @t29 @t24 @t1)) % 37.18/37.40 (define @t31 () (tptp.tc_fun @t24 tptp.tc_bool)) % 37.18/37.40 (define @t32 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t29 @t31)) % 37.18/37.40 (define @t33 () (@list @t14 @t20 @t29 @t24 @t1)) % 37.18/37.40 (define @t34 () (not @t15)) % 37.18/37.40 (define @t35 () (@var "V_P" $$unsorted)) % 37.18/37.40 (define @t36 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t35 @t14 @t1)) % 37.18/37.40 (define @t37 () (@var "V_Rb" $$unsorted)) % 37.18/37.40 (define @t38 () (tptp.c_Set_Oinsert @t3 @t20 @t1)) % 37.18/37.40 (define @t39 () (tptp.c_Set_Oinsert @t5 @t20 @t1)) % 37.18/37.40 (define @t40 () (@var "V_Q" $$unsorted)) % 37.18/37.40 (define @t41 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t29 @t16)) % 37.18/37.40 (define @t42 () (@list @t20 @t29 @t1)) % 37.18/37.40 (define @t43 () (@var "V_xa" $$unsorted)) % 37.18/37.40 (define @t44 () (tptp.c_Set_Oinsert @t3 @t17 @t1)) % 37.18/37.40 (define @t45 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 37.18/37.40 (define @t46 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 37.18/37.40 (define @t47 () (@var "V_y_H" $$unsorted)) % 37.18/37.40 (define @t48 () (@var "V_x_H" $$unsorted)) % 37.18/37.40 (define @t49 () (tptp.c_HOL_Ominus__class_Ominus @t48 @t47 @t1)) % 37.18/37.40 (define @t50 () (tptp.c_Orderings_Obot__class_Obot @t31)) % 37.18/37.40 (define @t51 () (@var "V_f" $$unsorted)) % 37.18/37.40 (define @t52 () (tptp.c_Set_Oimage @t51 @t50 @t24 @t1)) % 37.18/37.40 (define @t53 () (tptp.c_HOL_Ouminus__class_Ouminus @t29 @t16)) % 37.18/37.40 (define @t54 () (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t1)) % 37.18/37.40 (define @t55 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t5 @t1)) % 37.18/37.40 (define @t56 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 37.18/37.40 (define @t57 () (@list @t1 @t3 @t5)) % 37.18/37.40 (define @t58 () (tptp.c_Set_Oimage @t51 @t29 @t24 @t1)) % 37.18/37.40 (define @t59 () (tptp.c_Set_Oimage @t51 @t20 @t24 @t1)) % 37.18/37.40 (define @t60 () (@var "V_C" $$unsorted)) % 37.18/37.40 (define @t61 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t60 @t16)) % 37.18/37.40 (define @t62 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t60 @t16)) % 37.18/37.40 (define @t63 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t62 @t16)) % 37.18/37.40 (define @t64 () (@list @t20 @t29 @t60 @t1)) % 37.18/37.40 (define @t65 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t29 @t16)) % 37.18/37.40 (define @t66 () (@list @t20 @t29 @t1 @t60)) % 37.18/37.40 (define @t67 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t8 @t1)) % 37.18/37.40 (define @t68 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 37.18/37.40 (define @t69 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t2 @t1) @t67)) % 37.18/37.40 (define @t70 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 37.18/37.40 (define @t71 () (= @t67 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t70 @t1))) % 37.18/37.40 (define @t72 () (not (tptp.class_Lattices_Olattice @t1))) % 37.18/37.40 (define @t73 () (tptp.c_lessequals @t20 @t29 @t16)) % 37.18/37.40 (define @t74 () (not @t73)) % 37.18/37.40 (define @t75 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t29 @t16)) % 37.18/37.40 (define @t76 () (tptp.c_lessequals @t29 @t20 @t16)) % 37.18/37.40 (define @t77 () (not @t76)) % 37.18/37.40 (define @t78 () (tptp.c_lessequals @t3 @t5 @t1)) % 37.18/37.40 (define @t79 () (not @t78)) % 37.18/37.40 (define @t80 () (= @t6 @t3)) % 37.18/37.40 (define @t81 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 37.18/37.40 (define @t82 () (tptp.c_lessequals @t5 @t3 @t1)) % 37.18/37.40 (define @t83 () (not @t82)) % 37.18/37.40 (define @t84 () (tptp.c_lessequals @t20 @t60 @t16)) % 37.18/37.40 (define @t85 () (not @t84)) % 37.18/37.40 (define @t86 () (tptp.c_lessequals @t29 @t60 @t16)) % 37.18/37.40 (define @t87 () (not @t86)) % 37.18/37.40 (define @t88 () (tptp.c_lessequals @t65 @t60 @t16)) % 37.18/37.40 (define @t89 () (@list @t29 @t20 @t1)) % 37.18/37.40 (define @t90 () (@var "V_a" $$unsorted)) % 37.18/37.40 (define @t91 () (tptp.c_lessequals @t90 @t3 @t1)) % 37.18/37.40 (define @t92 () (not @t91)) % 37.18/37.40 (define @t93 () (@var "V_b" $$unsorted)) % 37.18/37.40 (define @t94 () (tptp.c_lessequals @t93 @t3 @t1)) % 37.18/37.40 (define @t95 () (not @t94)) % 37.18/37.40 (define @t96 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t90 @t93 @t1)) % 37.18/37.40 (define @t97 () (tptp.c_lessequals @t96 @t3 @t1)) % 37.18/37.40 (define @t98 () (@list @t1 @t90 @t93 @t3)) % 37.18/37.40 (define @t99 () (tptp.c_lessequals @t3 @t68 @t1)) % 37.18/37.40 (define @t100 () (tptp.c_lessequals @t5 @t68 @t1)) % 37.18/37.40 (define @t101 () (@list @t1 @t5 @t3)) % 37.18/37.40 (define @t102 () (tptp.c_lessequals @t2 @t3 @t1)) % 37.18/37.40 (define @t103 () (tptp.c_lessequals @t3 @t2 @t1)) % 37.18/37.40 (define @t104 () (not @t103)) % 37.18/37.40 (define @t105 () (tptp.c_lessequals @t5 @t2 @t1)) % 37.18/37.40 (define @t106 () (not @t105)) % 37.18/37.40 (define @t107 () (tptp.c_lessequals @t68 @t2 @t1)) % 37.18/37.40 (define @t108 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t20 @t16)) % 37.18/37.40 (define @t109 () (= @t6 @t12)) % 37.18/37.40 (define @t110 () (@var "V_r" $$unsorted)) % 37.18/37.40 (define @t111 () (tptp.c_Wellfounded_Owf @t110 @t1)) % 37.18/37.40 (define @t112 () (not @t111)) % 37.18/37.40 (define @t113 () (tptp.c_Wellfounded_Oacyclic @t110 @t1)) % 37.18/37.40 (define @t114 () (@list @t110 @t1)) % 37.18/37.40 (define @t115 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t20 @t16)) % 37.18/37.40 (define @t116 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t115 @t16)) % 37.18/37.40 (define @t117 () (tptp.c_Set_Oinsert @t90 @t20 @t1)) % 37.18/37.40 (define @t118 () (tptp.c_Set_Oinsert @t90 @t17 @t1)) % 37.18/37.40 (define @t119 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t118 @t16)) % 37.18/37.40 (define @t120 () (tptp.c_Set_Oinsert @t90 @t119 @t1)) % 37.18/37.40 (define @t121 () (@list @t90 @t20 @t1)) % 37.18/37.40 (define @t122 () (= @t90 @t93)) % 37.18/37.40 (define @t123 () (tptp.c_Set_Oinsert @t93 @t17 @t1)) % 37.18/37.40 (define @t124 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t20 @t16)) % 37.18/37.40 (define @t125 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t20 @t16)) % 37.18/37.40 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t60 @t16)) % 37.18/37.40 (define @t127 () (@var "V_c" $$unsorted)) % 37.18/37.40 (define @t128 () (tptp.c_COMBK @t127 @t1 @t24)) % 37.18/37.40 (define @t129 () (tptp.c_lessequals @t38 @t29 @t16)) % 37.18/37.40 (define @t130 () (not @t129)) % 37.18/37.40 (define @t131 () (tptp.c_in @t3 @t29 @t1)) % 37.18/37.40 (define @t132 () (@list @t3 @t29 @t1 @t20)) % 37.18/37.40 (define @t133 () (tptp.tc_prod @t1 @t24)) % 37.18/37.40 (define @t134 () (tptp.tc_fun @t133 tptp.tc_bool)) % 37.18/37.40 (define @t135 () (@var "V_J" $$unsorted)) % 37.18/37.40 (define @t136 () (tptp.c_Product__Type_OSigma @t135 @t60 @t1 @t24)) % 37.18/37.40 (define @t137 () (@var "V_I" $$unsorted)) % 37.18/37.40 (define @t138 () (tptp.c_Product__Type_OSigma @t137 @t60 @t1 @t24)) % 37.18/37.40 (define @t139 () (@list @t137 @t135 @t1 @t60 @t24)) % 37.18/37.40 (define @t140 () (tptp.hBOOL (tptp.hAPP @t20 @t3))) % 37.18/37.40 (define @t141 () (not @t140)) % 37.18/37.40 (define @t142 () (tptp.hBOOL (tptp.hAPP @t39 @t3))) % 37.18/37.40 (define @t143 () (tptp.c_in @t3 @t20 @t1)) % 37.18/37.40 (define @t144 () (tptp.c_Set_Oinsert @t3 @t29 @t1)) % 37.18/37.40 (define @t145 () (tptp.c_lessequals @t20 @t144 @t16)) % 37.18/37.40 (define @t146 () (@list @t20 @t3 @t29 @t1)) % 37.18/37.40 (define @t147 () (not @t145)) % 37.18/37.40 (define @t148 () (@list @t20 @t29 @t1 @t3)) % 37.18/37.40 (define @t149 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t60 @t16)) % 37.18/37.40 (define @t150 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t62 @t16)) % 37.18/37.40 (define @t151 () (@list @t29 @t60 @t1 @t20)) % 37.18/37.40 (define @t152 () (tptp.c_Relation_ODomain @t29 @t1 @t24)) % 37.18/37.40 (define @t153 () (tptp.c_Relation_ODomain @t20 @t1 @t24)) % 37.18/37.40 (define @t154 () (= @t75 @t17)) % 37.18/37.40 (define @t155 () (not @t154)) % 37.18/37.40 (define @t156 () (not @t143)) % 37.18/37.40 (define @t157 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t20 @t44 @t16) @t29 @t16)) % 37.18/37.40 (define @t158 () (not @t157)) % 37.18/37.40 (define @t159 () (not @t131)) % 37.18/37.40 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t38 @t29 @t16)) % 37.18/37.40 (define @t161 () (@list @t3 @t20 @t1 @t29)) % 37.18/37.40 (define @t162 () (tptp.c_Set_Oinsert @t93 @t29 @t1)) % 37.18/37.40 (define @t163 () (tptp.c_Relation_ORange @t29 @t24 @t1)) % 37.18/37.40 (define @t164 () (tptp.c_Relation_ORange @t20 @t24 @t1)) % 37.18/37.40 (define @t165 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t35 @t110 @t1)) % 37.18/37.40 (define @t166 () (tptp.hBOOL (tptp.hAPP @t35 @t90))) % 37.18/37.40 (define @t167 () (@list @t35 @t90 @t110 @t1)) % 37.18/37.40 (define @t168 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 37.18/37.40 (define @t169 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 37.18/37.40 (define @t170 () (tptp.c_HOL_Ouminus__class_Ouminus @t20 @t16)) % 37.18/37.40 (define @t171 () (tptp.tc_prod @t1 @t1)) % 37.18/37.40 (define @t172 () (tptp.tc_fun @t171 tptp.tc_bool)) % 37.18/37.40 (define @t173 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t25 @t172)) % 37.18/37.40 (define @t174 () (tptp.c_Transitive__Closure_Ortrancl @t173 @t1)) % 37.18/37.40 (define @t175 () (tptp.c_Transitive__Closure_Ortrancl @t25 @t1)) % 37.18/37.40 (define @t176 () (tptp.c_Transitive__Closure_Ortrancl @t14 @t1)) % 37.18/37.40 (define @t177 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t176 @t175 @t172)) % 37.18/37.40 (define @t178 () (@list @t14 @t1 @t25)) % 37.18/37.40 (define @t179 () (= @t20 @t50)) % 37.18/37.40 (define @t180 () (tptp.c_Set_Oinsert @t90 @t29 @t1)) % 37.18/37.40 (define @t181 () (@list @t90 @t29 @t1 @t60)) % 37.18/37.40 (define @t182 () (@list @t20 @t90 @t29 @t1)) % 37.18/37.40 (define @t183 () (tptp.c_HOL_Ouminus__class_Ouminus @t90 @t1)) % 37.18/37.40 (define @t184 () (tptp.c_HOL_Ouminus__class_Ouminus @t93 @t1)) % 37.18/37.40 (define @t185 () (tptp.c_lessequals @t184 @t183 @t1)) % 37.18/37.40 (define @t186 () (tptp.c_lessequals @t90 @t93 @t1)) % 37.18/37.40 (define @t187 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 37.18/37.40 (define @t188 () (@list @t1 @t90 @t93)) % 37.18/37.40 (define @t189 () (@list @t1 @t93 @t90)) % 37.18/37.40 (define @t190 () (tptp.c_lessequals @t170 @t53 @t16)) % 37.18/37.40 (define @t191 () (@list @t20 @t1 @t29)) % 37.18/37.40 (define @t192 () (@list @t1 @t20)) % 37.18/37.40 (define @t193 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t180 @t16)) % 37.18/37.40 (define @t194 () (tptp.c_Set_Oinsert @t90 @t75 @t1)) % 37.18/37.40 (define @t195 () (@list @t14 @t24 @t1)) % 37.18/37.40 (define @t196 () (@list @t3 @t20 @t1)) % 37.18/37.40 (define @t197 () (= @t5 @t3)) % 37.18/37.40 (define @t198 () (@list @t1)) % 37.18/37.40 (define @t199 () (tptp.c_Relation_ODomain @t110 @t1 @t24)) % 37.18/37.40 (define @t200 () (tptp.c_Pair @t90 @t93 @t1 @t24)) % 37.18/37.40 (define @t201 () (@list @t90 @t93 @t1 @t24 @t110)) % 37.18/37.40 (define @t202 () (tptp.c_Relation_Osym @t110 @t1)) % 37.18/37.40 (define @t203 () (not @t202)) % 37.18/37.40 (define @t204 () (@var "V_s" $$unsorted)) % 37.18/37.40 (define @t205 () (not (tptp.c_Relation_Osym @t204 @t1))) % 37.18/37.40 (define @t206 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t204 @t172)) % 37.18/37.40 (define @t207 () (@list @t110 @t204 @t1)) % 37.18/37.40 (define @t208 () (@list @t20 @t29 @t1 @t24)) % 37.18/37.40 (define @t209 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 37.18/37.40 (define @t210 () (@list @t1 @t29)) % 37.18/37.40 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t29 @t31)) % 37.18/37.40 (define @t212 () (@list @t51 @t20 @t29 @t24 @t1)) % 37.18/37.40 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t30 @t16)) % 37.18/37.40 (define @t214 () (tptp.c_Relation_OImage @t14 @t211 @t24 @t1)) % 37.18/37.40 (define @t215 () (tptp.c_lessequals @t60 @t20 @t16)) % 37.18/37.40 (define @t216 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t60 @t16) @t150)) % 37.18/37.40 (define @t217 () (not @t215)) % 37.18/37.40 (define @t218 () (tptp.hBOOL (tptp.hAPP @t65 @t3))) % 37.18/37.40 (define @t219 () (tptp.hBOOL (tptp.hAPP @t29 @t3))) % 37.18/37.40 (define @t220 () (@list @t29 @t3 @t20 @t1)) % 37.18/37.40 (define @t221 () (not @t219)) % 37.18/37.40 (define @t222 () (tptp.c_Relation_ODomain @t110 @t1 @t1)) % 37.18/37.40 (define @t223 () (@list @t110 @t1 @t204)) % 37.18/37.40 (define @t224 () (tptp.c_COMBK @t60 @t31 @t1)) % 37.18/37.40 (define @t225 () (tptp.c_Product__Type_OSigma @t29 @t224 @t1 @t24)) % 37.18/37.40 (define @t226 () (tptp.c_Product__Type_OSigma @t20 @t224 @t1 @t24)) % 37.18/37.40 (define @t227 () (@list @t20 @t29 @t1 @t60 @t24)) % 37.18/37.40 (define @t228 () (tptp.c_Relation_Orefl__on @t20 @t110 @t1)) % 37.18/37.40 (define @t229 () (not @t228)) % 37.18/37.40 (define @t230 () (not (tptp.c_Relation_Orefl__on @t29 @t204 @t1))) % 37.18/37.40 (define @t231 () (@list @t20 @t29 @t1 @t110 @t204)) % 37.18/37.40 (define @t232 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t2 @t1)) % 37.18/37.40 (define @t233 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t232 @t1)) % 37.18/37.40 (define @t234 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t2 @t1) @t233)) % 37.18/37.40 (define @t235 () (= @t233 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t4 @t1))) % 37.18/37.40 (define @t236 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t126 @t16)) % 37.18/37.40 (define @t237 () (tptp.c_COMBK @t29 @t31 @t1)) % 37.18/37.40 (define @t238 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t93 @t29 @t24) @t31 @t1)) % 37.18/37.40 (define @t239 () (@list @t60 @t20 @t29 @t1)) % 37.18/37.40 (define @t240 () (tptp.c_HOL_Ominus__class_Ominus @t149 @t126 @t16)) % 37.18/37.40 (define @t241 () (@var "V_D" $$unsorted)) % 37.18/37.40 (define @t242 () (@list @t20 @t29 @t1 @t60 @t241)) % 37.18/37.40 (define @t243 () (tptp.c_Relation_Otrans @t110 @t1)) % 37.18/37.40 (define @t244 () (not @t243)) % 37.18/37.40 (define @t245 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t204 @t172)) % 37.18/37.40 (define @t246 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t68 @t70 @t1)) % 37.18/37.40 (define @t247 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t232 @t1)) % 37.18/37.40 (define @t248 () (@list @t20 @t60 @t1 @t29)) % 37.18/37.40 (define @t249 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t35 @t110 @t1)) % 37.18/37.40 (define @t250 () (@var "V_xb" $$unsorted)) % 37.18/37.40 (define @t251 () (= @t3 @t5)) % 37.18/37.40 (define @t252 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 37.18/37.40 (define @t253 () (= @t20 @t29)) % 37.18/37.40 (define @t254 () (tptp.c_Relation_Oconverse @t110 @t1 @t1)) % 37.18/37.40 (define @t255 () (tptp.c_Wellfounded_Oacyclic @t254 @t1)) % 37.18/37.40 (define @t256 () (not @t113)) % 37.18/37.40 (define @t257 () (= @t68 @t5)) % 37.18/37.40 (define @t258 () (= @t65 @t29)) % 37.18/37.40 (define @t259 () (= @t90 @t127)) % 37.18/37.40 (define @t260 () (@var "V_d" $$unsorted)) % 37.18/37.40 (define @t261 () (= @t90 @t260)) % 37.18/37.40 (define @t262 () (not (= (tptp.c_Set_Oinsert @t90 @t123 @t1) (tptp.c_Set_Oinsert @t127 (tptp.c_Set_Oinsert @t260 @t17 @t1) @t1)))) % 37.18/37.40 (define @t263 () (@list @t90 @t93 @t1 @t127 @t260)) % 37.18/37.40 (define @t264 () (= @t93 @t127)) % 37.18/37.40 (define @t265 () (= @t93 @t260)) % 37.18/37.40 (define @t266 () (tptp.c_Relation_Oconverse @t204 @t24 @t1)) % 37.18/37.40 (define @t267 () (tptp.c_Relation_Oconverse @t110 @t24 @t1)) % 37.18/37.40 (define @t268 () (@list @t110 @t204 @t24 @t1)) % 37.18/37.40 (define @t269 () (tptp.c_in @t90 @t20 @t1)) % 37.18/37.40 (define @t270 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t180 @t16)) % 37.18/37.40 (define @t271 () (tptp.c_in @t90 @t60 @t1)) % 37.18/37.40 (define @t272 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t180 @t60 @t16)) % 37.18/37.40 (define @t273 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t20 @t110 @t1)) % 37.18/37.40 (define @t274 () (not @t273)) % 37.18/37.40 (define @t275 () (tptp.c_Relation_Ototal__on @t20 @t110 @t1)) % 37.18/37.40 (define @t276 () (@list @t20 @t110 @t1)) % 37.18/37.40 (define @t277 () (not (= @t65 @t17))) % 37.18/37.40 (define @t278 () (= @t20 @t17)) % 37.18/37.40 (define @t279 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t29 @t1) @t168))) % 37.18/37.40 (define @t280 () (@list @t1 @t20 @t29)) % 37.18/37.40 (define @t281 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t20 @t16)) % 37.18/37.40 (define @t282 () (@var "T_c" $$unsorted)) % 37.18/37.40 (define @t283 () (@var "V_T" $$unsorted)) % 37.18/37.40 (define @t284 () (tptp.tc_prod @t1 @t282)) % 37.18/37.40 (define @t285 () (tptp.tc_fun @t284 tptp.tc_bool)) % 37.18/37.40 (define @t286 () (tptp.tc_prod @t282 @t24)) % 37.18/37.40 (define @t287 () (tptp.c_lessequals @t60 @t75 @t16)) % 37.18/37.40 (define @t288 () (not @t287)) % 37.18/37.40 (define @t289 () (tptp.c_lessequals @t60 @t29 @t16)) % 37.18/37.40 (define @t290 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t90 @t93 @t1)) % 37.18/37.40 (define @t291 () (tptp.c_lessequals @t3 @t290 @t1)) % 37.18/37.40 (define @t292 () (not @t291)) % 37.18/37.40 (define @t293 () (tptp.c_lessequals @t3 @t90 @t1)) % 37.18/37.40 (define @t294 () (@list @t1 @t3 @t90 @t93)) % 37.18/37.40 (define @t295 () (tptp.c_lessequals @t3 @t93 @t1)) % 37.18/37.40 (define @t296 () (tptp.c_lessequals @t290 @t3 @t1)) % 37.18/37.40 (define @t297 () (tptp.c_lessequals @t3 @t232 @t1)) % 37.18/37.40 (define @t298 () (not @t297)) % 37.18/37.40 (define @t299 () (@list @t1 @t3 @t2 @t5)) % 37.18/37.40 (define @t300 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t60 @t16)) % 37.18/37.40 (define @t301 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t60 @t16)) % 37.18/37.40 (define @t302 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t183 @t184 @t1)) % 37.18/37.40 (define @t303 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 37.18/37.40 (define @t304 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 37.18/37.40 (define @t305 () (= @t68 @t304)) % 37.18/37.40 (define @t306 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t68 @t1) @t68)) % 37.18/37.40 (define @t307 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t183 @t184 @t1)) % 37.18/37.40 (define @t308 () (@list @t20 @t29 @t24 @t1)) % 37.18/37.40 (define @t309 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t35 @t110 @t1)) % 37.18/37.40 (define @t310 () (tptp.hBOOL (tptp.hAPP @t75 @t3))) % 37.18/37.40 (define @t311 () (not @t310)) % 37.18/37.40 (define @t312 () (tptp.c_Relation_ORange @t110 @t24 @t1)) % 37.18/37.40 (define @t313 () (tptp.c_Pair @t90 @t93 @t24 @t1)) % 37.18/37.40 (define @t314 () (@list @t90 @t93 @t24 @t1 @t110)) % 37.18/37.40 (define @t315 () (tptp.c_lessequals @t20 @t53 @t16)) % 37.18/37.40 (define @t316 () (tptp.c_lessequals @t20 @t62 @t16)) % 37.18/37.40 (define @t317 () (tptp.c_lessequals @t41 @t60 @t16)) % 37.18/37.40 (define @t318 () (@var "V_g" $$unsorted)) % 37.18/37.40 (define @t319 () (= (tptp.c_Recdef_Ocut @t51 @t110 @t3 @t1 @t24) (tptp.c_Recdef_Ocut @t318 @t110 @t3 @t1 @t24))) % 37.18/37.40 (define @t320 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t51 @t318 @t110 @t3 @t1 @t24)) % 37.18/37.40 (define @t321 () (tptp.c_HOL_Ouminus__class_Ouminus @t183 @t1)) % 37.18/37.40 (define @t322 () (@list @t1 @t90)) % 37.18/37.40 (define @t323 () (tptp.c_HOL_Ouminus__class_Ouminus @t184 @t1)) % 37.18/37.40 (define @t324 () (@list @t1 @t93)) % 37.18/37.40 (define @t325 () (tptp.c_Pair @t5 @t3 @t1 @t1)) % 37.18/37.40 (define @t326 () (tptp.c_Set_Oinsert @t325 @t110 @t171)) % 37.18/37.40 (define @t327 () (tptp.c_Wellfounded_Oacyclic @t326 @t1)) % 37.18/37.40 (define @t328 () (not @t327)) % 37.18/37.40 (define @t329 () (@list @t110 @t1 @t5 @t3)) % 37.18/37.40 (define @t330 () (tptp.c_lessequals @t90 @t184 @t1)) % 37.18/37.40 (define @t331 () (tptp.c_lessequals @t93 @t183 @t1)) % 37.18/37.40 (define @t332 () (tptp.c_lessequals @t183 @t93 @t1)) % 37.18/37.40 (define @t333 () (tptp.c_lessequals @t184 @t90 @t1)) % 37.18/37.40 (define @t334 () (tptp.c_in @t127 @t20 @t1)) % 37.18/37.40 (define @t335 () (not @t334)) % 37.18/37.40 (define @t336 () (tptp.c_in @t127 @t29 @t1)) % 37.18/37.40 (define @t337 () (not @t336)) % 37.18/37.40 (define @t338 () (tptp.c_in @t127 @t75 @t1)) % 37.18/37.40 (define @t339 () (@list @t127 @t20 @t29 @t1)) % 37.18/37.40 (define @t340 () (not @t269)) % 37.18/37.40 (define @t341 () (tptp.c_in @t90 (tptp.c_Set_Oinsert @t93 @t20 @t1) @t1)) % 37.18/37.40 (define @t342 () (tptp.c_in @t127 @t65 @t1)) % 37.18/37.40 (define @t343 () (not (tptp.c_in @t3 @t17 @t1))) % 37.18/37.40 (define @t344 () (@list @t3 @t1)) % 37.18/37.40 (define @t345 () (tptp.hBOOL (tptp.hAPP @t35 @t3))) % 37.18/37.40 (define @t346 () (@list @t35 @t3 @t1)) % 37.18/37.40 (define @t347 () (@list @t90 @t1)) % 37.18/37.40 (define @t348 () (@list @t127 @t29 @t1 @t20)) % 37.18/37.40 (define @t349 () (tptp.c_in @t127 @t41 @t1)) % 37.18/37.40 (define @t350 () (not @t349)) % 37.18/37.40 (define @t351 () (@list @t127 @t20 @t1 @t29)) % 37.18/37.40 (define @t352 () (tptp.c_in @t127 @t170 @t1)) % 37.18/37.40 (define @t353 () (@list @t127 @t20 @t1)) % 37.18/37.40 (define @t354 () (not @t338)) % 37.18/37.40 (define @t355 () (not @t345)) % 37.18/37.40 (define @t356 () (not (tptp.c_Equiv__Relations_Oequiv @t20 @t110 @t1))) % 37.18/37.40 (define @t357 () (not (tptp.c_in @t93 @t20 @t1))) % 37.18/37.40 (define @t358 () (tptp.c_Pair @t90 @t93 @t1 @t1)) % 37.18/37.40 (define @t359 () (tptp.c_in @t358 @t110 @t171)) % 37.18/37.40 (define @t360 () (tptp.c_Relation_OImage @t110 @t123 @t1 @t1)) % 37.18/37.40 (define @t361 () (tptp.c_Relation_OImage @t110 @t118 @t1 @t1)) % 37.18/37.40 (define @t362 () (= @t361 @t360)) % 37.18/37.40 (define @t363 () (@list @t110 @t90 @t1 @t93 @t20)) % 37.18/37.40 (define @t364 () (tptp.c_in @t5 @t20 @t1)) % 37.18/37.40 (define @t365 () (not @t364)) % 37.18/37.40 (define @t366 () (tptp.c_Pair @t3 @t5 @t1 @t1)) % 37.18/37.40 (define @t367 () (tptp.c_in @t366 @t110 @t171)) % 37.18/37.40 (define @t368 () (= (tptp.c_Relation_OImage @t110 @t44 @t1 @t1) (tptp.c_Relation_OImage @t110 (tptp.c_Set_Oinsert @t5 @t17 @t1) @t1 @t1))) % 37.18/37.40 (define @t369 () (not @t368)) % 37.18/37.40 (define @t370 () (@list @t110 @t3 @t1 @t5 @t20)) % 37.18/37.40 (define @t371 () (not @t367)) % 37.18/37.40 (define @t372 () (not @t359)) % 37.18/37.40 (define @t373 () (tptp.c_Relation_OId @t1)) % 37.18/37.40 (define @t374 () (tptp.c_HOL_Ominus__class_Ominus @t110 @t373 @t172)) % 37.18/37.40 (define @t375 () (tptp.c_Transitive__Closure_Ortrancl @t110 @t1)) % 37.18/37.40 (define @t376 () (tptp.c_in @t358 @t375 @t171)) % 37.18/37.40 (define @t377 () (not @t376)) % 37.18/37.40 (define @t378 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t90 @t93 @t110 @t1)) % 37.18/37.40 (define @t379 () (@list @t90 @t93 @t110 @t1)) % 37.18/37.40 (define @t380 () (not @t166)) % 37.18/37.40 (define @t381 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t35 @t90 @t110 @t1)) % 37.18/37.40 (define @t382 () (tptp.hBOOL (tptp.hAPP @t35 @t93))) % 37.18/37.40 (define @t383 () (@list @t35 @t93 @t90 @t110 @t1)) % 37.18/37.40 (define @t384 () (tptp.hAPP @t51 @t90)) % 37.18/37.40 (define @t385 () (not (tptp.c_lessequals @t29 @t241 @t16))) % 37.18/37.40 (define @t386 () (tptp.c_lessequals @t6 @t3 @t1)) % 37.18/37.40 (define @t387 () (tptp.c_lessequals @t6 @t5 @t1)) % 37.18/37.40 (define @t388 () (not @t293)) % 37.18/37.40 (define @t389 () (not @t295)) % 37.18/37.40 (define @t390 () (@list @t110 @t1 @t20)) % 37.18/37.40 (define @t391 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t1) @t6)) % 37.18/37.40 (define @t392 () (@var "V_r_H" $$unsorted)) % 37.18/37.40 (define @t393 () (not @t107)) % 37.18/37.40 (define @t394 () (tptp.c_lessequals @t3 @t96 @t1)) % 37.18/37.40 (define @t395 () (not @t97)) % 37.18/37.40 (define @t396 () (not @t88)) % 37.18/37.40 (define @t397 () (not (tptp.c_lessequals @t110 @t204 @t172))) % 37.18/37.40 (define @t398 () (tptp.c_lessequals @t47 @t48 @t1)) % 37.18/37.40 (define @t399 () (not (= @t55 @t49))) % 37.18/37.40 (define @t400 () (@list @t1 @t3 @t5 @t48 @t47)) % 37.18/37.40 (define @t401 () (tptp.c_Relation_Oirrefl @t110 @t1)) % 37.18/37.40 (define @t402 () (tptp.c_in @t366 @t375 @t171)) % 37.18/37.40 (define @t403 () (@list @t5 @t3 @t1 @t110)) % 37.18/37.40 (define @t404 () (not @t402)) % 37.18/37.40 (define @t405 () (@list @t3 @t5 @t1 @t110)) % 37.18/37.40 (define @t406 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t35 @t90 @t110 @t1)) % 37.18/37.40 (define @t407 () (tptp.c_Set_Oimage @t51 @t20 @t1 @t24)) % 37.18/37.40 (define @t408 () (tptp.hAPP @t51 @t3)) % 37.18/37.40 (define @t409 () (@list @t51 @t3 @t20 @t1 @t24)) % 37.18/37.40 (define @t410 () (tptp.c_in @t93 (tptp.c_Relation_OImage @t110 (tptp.c_Set_Oinsert @t90 @t50 @t24) @t24 @t1) @t1)) % 37.18/37.40 (define @t411 () (tptp.c_in @t313 @t110 @t27)) % 37.18/37.40 (define @t412 () (not (tptp.c_in @t3 @t40 @t1))) % 37.18/37.40 (define @t413 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t40 @t14 @t1)) % 37.18/37.40 (define @t414 () (not (tptp.c_in @t3 @t60 @t1))) % 37.18/37.40 (define @t415 () (tptp.c_COMBK @t60 @t16 @t24)) % 37.18/37.40 (define @t416 () (tptp.c_Product__Type_OSigma @t29 @t415 @t24 @t1)) % 37.18/37.40 (define @t417 () (tptp.c_Product__Type_OSigma @t20 @t415 @t24 @t1)) % 37.18/37.40 (define @t418 () (@list @t20 @t60 @t1 @t24 @t29 @t3)) % 37.18/37.40 (define @t419 () (tptp.c_Wellfounded_Owf @t326 @t1)) % 37.18/37.40 (define @t420 () (not @t419)) % 37.18/37.40 (define @t421 () (tptp.c_Relation_OImage @t110 @t20 @t24 @t1)) % 37.18/37.40 (define @t422 () (tptp.c_in @t93 @t421 @t1)) % 37.18/37.40 (define @t423 () (not @t422)) % 37.18/37.40 (define @t424 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t20 @t93 @t110 @t24 @t1)) % 37.18/37.40 (define @t425 () (@list @t20 @t93 @t110 @t24 @t1)) % 37.18/37.40 (define @t426 () (tptp.c_in @t3 @t174 @t171)) % 37.18/37.40 (define @t427 () (@list @t3 @t14 @t25 @t1)) % 37.18/37.40 (define @t428 () (tptp.c_Wellfounded_Oacc @t110 @t1)) % 37.18/37.40 (define @t429 () (tptp.c_in @t90 @t428 @t1)) % 37.18/37.40 (define @t430 () (not @t429)) % 37.18/37.40 (define @t431 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t35 @t110 @t1)) % 37.18/37.40 (define @t432 () (tptp.c_Wellfounded_Oacc @t14 @t1)) % 37.18/37.40 (define @t433 () (tptp.c_in @t3 @t432 @t1)) % 37.18/37.40 (define @t434 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t14 @t3 @t1)) % 37.18/37.40 (define @t435 () (@list @t14 @t3 @t1)) % 37.18/37.40 (define @t436 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t110 @t3 @t1)) % 37.18/37.40 (define @t437 () (tptp.c_in @t3 @t428 @t1)) % 37.18/37.40 (define @t438 () (@list @t3 @t110 @t1)) % 37.18/37.40 (define @t439 () (tptp.c_Wellfounded_Owf @t173 @t1)) % 37.18/37.40 (define @t440 () (tptp.c_Relation_Orel__comp @t14 @t14 @t1 @t1 @t1)) % 37.18/37.40 (define @t441 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t440 (tptp.c_Relation_Orel__comp @t25 @t14 @t1 @t1 @t1) @t172) @t25 @t172) @t1)) % 37.18/37.40 (define @t442 () (@list @t14 @t25 @t1)) % 37.18/37.40 (define @t443 () (tptp.c_Transitive__Closure_Otrancl @t110 @t1)) % 37.18/37.40 (define @t444 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t373 @t172)) % 37.18/37.40 (define @t445 () (tptp.c_Relation_OId__on @t20 @t1)) % 37.18/37.40 (define @t446 () (tptp.c_Relation_Oantisym @t444 @t1)) % 37.18/37.40 (define @t447 () (tptp.c_Relation_Oantisym @t110 @t1)) % 37.18/37.40 (define @t448 () (not @t447)) % 37.18/37.40 (define @t449 () (tptp.c_Relation_Ototal__on @t20 @t374 @t1)) % 37.18/37.40 (define @t450 () (not @t275)) % 37.18/37.40 (define @t451 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 37.18/37.40 (define @t452 () (tptp.c_Transitive__Closure_Ortrancl @t110 tptp.t_a)) % 37.18/37.40 (define @t453 () (@var "V_a2" $$unsorted)) % 37.18/37.40 (define @t454 () (@var "V_a1" $$unsorted)) % 37.18/37.40 (define @t455 () (tptp.c_Pair @t454 @t453 tptp.t_a tptp.t_a)) % 37.18/37.40 (define @t456 () (not (tptp.c_in @t455 @t452 @t451))) % 37.18/37.40 (define @t457 () (= @t453 @t454)) % 37.18/37.40 (define @t458 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t454 @t453 @t110)) % 37.18/37.40 (define @t459 () (@list @t454 @t453 @t110)) % 37.18/37.40 (define @t460 () (tptp.hBOOL (tptp.hAPP @t35 @t5))) % 37.18/37.40 (define @t461 () (@list @t35 @t90 @t5 @t110 @t1)) % 37.18/37.40 (define @t462 () (@var "V_Ra" $$unsorted)) % 37.18/37.40 (define @t463 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t110 @t1)) % 37.18/37.40 (define @t464 () (tptp.c_Pair @t3 @t3 @t1 @t1)) % 37.18/37.40 (define @t465 () (tptp.c_in @t464 @t110 @t171)) % 37.18/37.40 (define @t466 () (not @t465)) % 37.18/37.40 (define @t467 () (@list @t3 @t1 @t110)) % 37.18/37.40 (define @t468 () (tptp.c_Pair @t3 @t2 @t1 @t1)) % 37.18/37.40 (define @t469 () (tptp.c_in @t468 @t443 @t171)) % 37.18/37.40 (define @t470 () (not @t469)) % 37.18/37.40 (define @t471 () (tptp.c_in @t468 @t110 @t171)) % 37.18/37.40 (define @t472 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t110 @t3 @t2 @t1)) % 37.18/37.40 (define @t473 () (tptp.c_Transitive__Closure_Otrancl @t110 tptp.t_a)) % 37.18/37.40 (define @t474 () (not (tptp.c_in @t455 @t473 @t451))) % 37.18/37.40 (define @t475 () (tptp.c_in @t455 @t110 @t451)) % 37.18/37.40 (define @t476 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t454 @t453 @t110)) % 37.18/37.40 (define @t477 () (tptp.c_in @t358 @t443 @t171)) % 37.18/37.40 (define @t478 () (not @t477)) % 37.18/37.40 (define @t479 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t90 @t93 @t110 @t1)) % 37.18/37.40 (define @t480 () (not (tptp.c_in (tptp.c_Pair @t90 @t127 @t1 @t24) (tptp.c_Relation_Orel__comp @t110 @t204 @t1 @t282 @t24) @t133))) % 37.18/37.40 (define @t481 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t90 @t127 @t110 @t204 @t1 @t24 @t282)) % 37.18/37.40 (define @t482 () (@list @t90 @t127 @t110 @t204 @t1 @t24 @t282)) % 37.18/37.40 (define @t483 () (@var "V_p" $$unsorted)) % 37.18/37.40 (define @t484 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t483 @t1)) % 37.18/37.40 (define @t485 () (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 @t20 @t29 @t241 @t1 @t24)) % 37.18/37.40 (define @t486 () (tptp.c_Product__Type_OSigma @t20 @t29 @t1 @t24)) % 37.18/37.40 (define @t487 () (tptp.c_lessequals @t486 (tptp.c_Product__Type_OSigma @t60 @t241 @t1 @t24) @t134)) % 37.18/37.40 (define @t488 () (@list @t20 @t29 @t1 @t24 @t60 @t241)) % 37.18/37.40 (define @t489 () (tptp.c_lessequals @t20 (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Relation_OImage @t267 @t53 @t1 @t24) @t31) @t31)) % 37.18/37.40 (define @t490 () (tptp.c_lessequals @t421 @t29 @t16)) % 37.18/37.40 (define @t491 () (not (tptp.c_in @t127 @t445 @t171))) % 37.18/37.40 (define @t492 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t20 @t127 @t1)) % 37.18/37.40 (define @t493 () (tptp.c_Product__Type_OSigma @t20 (tptp.c_COMBK @t20 @t16 @t1) @t1 @t1)) % 37.18/37.40 (define @t494 () (tptp.c_lessequals @t110 @t493 @t172)) % 37.18/37.40 (define @t495 () (not @t494)) % 37.18/37.40 (define @t496 () (@list @t110 @t20 @t1)) % 37.18/37.40 (define @t497 () (not (tptp.c_lessequals @t110 (tptp.c_Product__Type_OSigma @t20 @t237 @t1 @t24) @t134))) % 37.18/37.40 (define @t498 () (tptp.tc_prod @t24 @t282)) % 37.18/37.40 (define @t499 () (tptp.tc_fun @t498 tptp.tc_bool)) % 37.18/37.40 (define @t500 () (tptp.tc_fun @t282 tptp.tc_bool)) % 37.18/37.40 (define @t501 () (tptp.c_Relation_Orel__comp @t110 @t204 @t1 @t24 @t282)) % 37.18/37.40 (define @t502 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t443 @t373 @t172)) % 37.18/37.40 (define @t503 () (tptp.c_Relation_Orel__comp @t375 @t110 @t1 @t1 @t1)) % 37.18/37.40 (define @t504 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t110 @t1)) % 37.18/37.40 (define @t505 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t110 @t1)) % 37.18/37.40 (define @t506 () (tptp.c_Nitpick_Orefl_H @t110 @t1)) % 37.18/37.40 (define @t507 () (not @t401)) % 37.18/37.40 (define @t508 () (not (tptp.c_in @t5 @t40 @t1))) % 37.18/37.40 (define @t509 () (tptp.c_lessequals @t20 @t29 @t31)) % 37.18/37.40 (define @t510 () (tptp.c_lessequals @t417 @t416 @t28)) % 37.18/37.40 (define @t511 () (tptp.c_Relation_Orel__comp @t254 @t110 @t1 @t1 @t1)) % 37.18/37.40 (define @t512 () (tptp.c_Transitive__Closure_Otrancl @t14 @t1)) % 37.18/37.40 (define @t513 () (tptp.c_in @t366 @t512 @t171)) % 37.18/37.40 (define @t514 () (not @t513)) % 37.18/37.40 (define @t515 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t14 @t3 @t5 @t1)) % 37.18/37.40 (define @t516 () (@list @t3 @t14 @t5 @t1)) % 37.18/37.40 (define @t517 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t14 @t3 @t5 @t1)) % 37.18/37.40 (define @t518 () (@list @t14 @t3 @t5 @t1)) % 37.18/37.40 (define @t519 () (tptp.c_in @t483 @t443 @t171)) % 37.18/37.40 (define @t520 () (not (tptp.c_in @t3 @t20 @t24))) % 37.18/37.40 (define @t521 () (not (tptp.c_lessequals @t392 @t110 @t134))) % 37.18/37.40 (define @t522 () (@var "V_A_H" $$unsorted)) % 37.18/37.40 (define @t523 () (tptp.c_Relation_OImage @t110 @t20 @t1 @t24)) % 37.18/37.40 (define @t524 () (@list @t3 @t20 @t24 @t51 @t1)) % 37.18/37.40 (define @t525 () (not (tptp.c_lessequals @t110 @t204 @t134))) % 37.18/37.40 (define @t526 () (@list @t110 @t1 @t24 @t204)) % 37.18/37.40 (define @t527 () (tptp.c_Relation_Osingle__valued @t110 @t1 @t24)) % 37.18/37.40 (define @t528 () (not (tptp.c_lessequals @t35 @t40 @t16))) % 37.18/37.40 (define @t529 () (tptp.hBOOL (tptp.hAPP @t40 @t3))) % 37.18/37.40 (define @t530 () (@list @t40 @t3 @t35 @t1)) % 37.18/37.40 (define @t531 () (tptp.c_lessequals @t3 @t3 @t1)) % 37.18/37.40 (define @t532 () (not (tptp.class_Orderings_Opreorder @t1))) % 37.18/37.40 (define @t533 () (not (tptp.class_Orderings_Oorder @t1))) % 37.18/37.40 (define @t534 () (tptp.c_Transitive__Closure_Ortrancl @t204 @t1)) % 37.18/37.40 (define @t535 () (tptp.c_lessequals @t375 @t534 @t172)) % 37.18/37.40 (define @t536 () (@var "V_s_H" $$unsorted)) % 37.18/37.40 (define @t537 () (@var "V_R2" $$unsorted)) % 37.18/37.40 (define @t538 () (@var "V_R1" $$unsorted)) % 37.18/37.40 (define @t539 () (@var "V_t" $$unsorted)) % 37.18/37.40 (define @t540 () (tptp.c_Pair @t93 @t90 @t1 @t1)) % 37.18/37.40 (define @t541 () (not (tptp.c_in @t540 @t375 @t171))) % 37.18/37.40 (define @t542 () (tptp.c_in @t93 @t428 @t1)) % 37.18/37.40 (define @t543 () (@list @t93 @t110 @t1 @t90)) % 37.18/37.40 (define @t544 () (tptp.c_Wellfounded_Oacc @t110 tptp.t_a)) % 37.18/37.40 (define @t545 () (not (tptp.c_in @t3 @t544 tptp.t_a))) % 37.18/37.40 (define @t546 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t35 @t110)) % 37.18/37.40 (define @t547 () (@list @t35 @t3 @t5 @t110)) % 37.18/37.40 (define @t548 () (not (tptp.c_in @t483 @t110 @t171))) % 37.18/37.40 (define @t549 () (@list @t483 @t110 @t1)) % 37.18/37.40 (define @t550 () (tptp.c_Pair @t93 @t127 @t1 @t1)) % 37.18/37.40 (define @t551 () (not (tptp.c_in @t550 @t375 @t171))) % 37.18/37.40 (define @t552 () (tptp.c_Pair @t90 @t127 @t1 @t1)) % 37.18/37.40 (define @t553 () (tptp.c_in @t552 @t443 @t171)) % 37.18/37.40 (define @t554 () (@list @t90 @t127 @t1 @t110 @t93)) % 37.18/37.40 (define @t555 () (not (tptp.c_in @t550 @t110 @t171))) % 37.18/37.40 (define @t556 () (tptp.c_in @t366 @t176 @t171)) % 37.18/37.40 (define @t557 () (@list @t3 @t5 @t1 @t14)) % 37.18/37.40 (define @t558 () (not @t556)) % 37.18/37.40 (define @t559 () (tptp.c_in @t325 @t375 @t171)) % 37.18/37.40 (define @t560 () (tptp.c_Transitive__Closure_Ortrancl @t254 @t1)) % 37.18/37.40 (define @t561 () (tptp.c_in @t366 @t560 @t171)) % 37.18/37.40 (define @t562 () (tptp.c_Pair @t5 @t2 @t1 @t1)) % 37.18/37.40 (define @t563 () (@list @t90 @t93 @t1 @t110)) % 37.18/37.40 (define @t564 () (@list @t3 @t2 @t1 @t110 @t5)) % 37.18/37.40 (define @t565 () (tptp.c_Transitive__Closure_Otrancl @t254 @t1)) % 37.18/37.40 (define @t566 () (tptp.c_in @t366 @t565 @t171)) % 37.18/37.40 (define @t567 () (tptp.c_Relation_Oconverse @t443 @t1 @t1)) % 37.18/37.40 (define @t568 () (tptp.c_in @t366 @t567 @t171)) % 37.18/37.40 (define @t569 () (tptp.hAPP @t384 @t93)) % 37.18/37.40 (define @t570 () (tptp.c_Pair @t90 @t93 @t24 @t282)) % 37.18/37.40 (define @t571 () (tptp.c_split @t51 @t1 @t24 @t282)) % 37.18/37.40 (define @t572 () (tptp.c_in @t408 @t59 @t1)) % 37.18/37.40 (define @t573 () (@var "T_aa" $$unsorted)) % 37.18/37.40 (define @t574 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t35 @t110 @t1)) % 37.18/37.40 (define @t575 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t35 @t110)) % 37.18/37.40 (define @t576 () (@list @t35 @t3 @t110)) % 37.18/37.40 (define @t577 () (tptp.c_Relation_Osym @t254 @t1)) % 37.18/37.40 (define @t578 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t20 @t93 @t110 @t24 @t1)) % 37.18/37.40 (define @t579 () (tptp.c_Relation_Orefl__on @t20 @t254 @t1)) % 37.18/37.40 (define @t580 () (tptp.c_Wellfounded_Owf @t440 @t1)) % 37.18/37.40 (define @t581 () (= @t254 @t110)) % 37.18/37.40 (define @t582 () (tptp.c_Relation_Oinv__image @t110 @t51 @t1 @t24)) % 37.18/37.40 (define @t583 () (@list @t110 @t51 @t1 @t24)) % 37.18/37.40 (define @t584 () (tptp.c_Relation_Orel__comp @t110 @t375 @t1 @t1 @t1)) % 37.18/37.40 (define @t585 () (tptp.c_Relation_Otrans @t254 @t1)) % 37.18/37.40 (define @t586 () (@var "T_d" $$unsorted)) % 37.18/37.40 (define @t587 () (= @t511 @t110)) % 37.18/37.40 (define @t588 () (tptp.c_Relation_Oconverse @t110 @t1 @t24)) % 37.18/37.40 (define @t589 () (@list @t110 @t1 @t24)) % 37.18/37.40 (define @t590 () (not (tptp.c_in @t43 @t40 @t1))) % 37.18/37.40 (define @t591 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t40 @t110 @t1)) % 37.18/37.40 (define @t592 () (not @t527)) % 37.18/37.40 (define @t593 () (tptp.c_Relation_Oantisym @t254 @t1)) % 37.18/37.40 (define @t594 () (@var "V_r1" $$unsorted)) % 37.18/37.40 (define @t595 () (@var "V_r2" $$unsorted)) % 37.18/37.40 (define @t596 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t594 @t595 @t51 @t1 @t24 @t282))) % 37.18/37.40 (define @t597 () (tptp.c_Relation_ODomain @t267 @t1 @t24)) % 37.18/37.40 (define @t598 () (@list @t110 @t24 @t1)) % 37.18/37.40 (define @t599 () (tptp.c_Relation_Ototal__on @t20 @t254 @t1)) % 37.18/37.40 (define @t600 () (@var "V_ya" $$unsorted)) % 37.18/37.40 (define @t601 () (tptp.c_in @t600 @t544 tptp.t_a)) % 37.18/37.40 (define @t602 () (@list @t35 @t3 @t600 @t110)) % 37.18/37.40 (define @t603 () (tptp.c_in @t464 @t176 @t171)) % 37.18/37.40 (define @t604 () (tptp.c_in @t3 (tptp.c_Relation_ODomain @t14 @t1 @t1) @t1)) % 37.18/37.40 (define @t605 () (tptp.c_in @t90 @t199 @t1)) % 37.18/37.40 (define @t606 () (not @t605)) % 37.18/37.40 (define @t607 () (@list @t90 @t110 @t1 @t24)) % 37.18/37.40 (define @t608 () (tptp.c_in @t90 @t312 @t1)) % 37.18/37.40 (define @t609 () (@var "V_z1" $$unsorted)) % 37.18/37.40 (define @t610 () (@var "V_y1" $$unsorted)) % 37.18/37.40 (define @t611 () (tptp.tc_prod @t24 @t24)) % 37.18/37.40 (define @t612 () (@var "V_z2" $$unsorted)) % 37.18/37.40 (define @t613 () (@var "V_y2" $$unsorted)) % 37.18/37.40 (define @t614 () (tptp.c_Pair @t3 @t5 @t1 @t24)) % 37.18/37.40 (define @t615 () (= @t5 @t2)) % 37.18/37.40 (define @t616 () (tptp.c_Pair @t3 @t90 @t1 @t1)) % 37.18/37.40 (define @t617 () (not (tptp.c_in @t616 @t110 @t171))) % 37.18/37.40 (define @t618 () (tptp.c_in @t614 @t14 @t133)) % 37.18/37.40 (define @t619 () (tptp.c_FunDef_Oin__rel @t14 @t3 @t5 @t1 @t24)) % 37.18/37.40 (define @t620 () (not (tptp.c_in @t562 @t110 @t171))) % 37.18/37.40 (define @t621 () (tptp.c_Pair @t93 @t90 @t24 @t1)) % 37.18/37.40 (define @t622 () (tptp.c_in @t621 @t110 @t27)) % 37.18/37.40 (define @t623 () (tptp.c_in @t200 @t267 @t133)) % 37.18/37.40 (define @t624 () (not (tptp.c_in @t200 @t110 @t133))) % 37.18/37.40 (define @t625 () (@list @t93 @t90 @t24 @t1 @t110)) % 37.18/37.40 (define @t626 () (not (tptp.c_in @t550 @t443 @t171))) % 37.18/37.40 (define @t627 () (tptp.c_in @t552 @t375 @t171)) % 37.18/37.40 (define @t628 () (tptp.c_Pair @t90 @t90 @t1 @t1)) % 37.18/37.40 (define @t629 () (@list @t90 @t1 @t110)) % 37.18/37.40 (define @t630 () (tptp.c_in @t325 @t110 @t171)) % 37.18/37.40 (define @t631 () (not @t630)) % 37.18/37.40 (define @t632 () (tptp.c_in @t540 @t110 @t171)) % 37.18/37.40 (define @t633 () (tptp.hAPP @t51 @t5)) % 37.18/37.40 (define @t634 () (not (tptp.c_in @t366 @t445 @t171))) % 37.18/37.40 (define @t635 () (tptp.c_in @t628 @t110 @t171)) % 37.18/37.40 (define @t636 () (tptp.c_in (tptp.c_Pair @t408 @t633 @t24 @t24) @t110 @t611)) % 37.18/37.40 (define @t637 () (tptp.c_in @t366 (tptp.c_Relation_Oinv__image @t110 @t51 @t24 @t1) @t171)) % 37.18/37.40 (define @t638 () (= @t3 @t2)) % 37.18/37.40 (define @t639 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t640 () (@var "V_L" $$unsorted)) % 37.18/37.40 (define @t641 () (tptp.c_Pair @t3 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t642 () (tptp.c_in @t641 @t640 @t639)) % 37.18/37.40 (define @t643 () (not @t642)) % 37.18/37.40 (define @t644 () (tptp.c_in @t641 (tptp.c_Arrow__Order__Mirabelle_Omktop @t640 @t2) @t639)) % 37.18/37.40 (define @t645 () (@list @t3 @t5 @t640 @t2)) % 37.18/37.40 (define @t646 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t640 @t3)) % 37.18/37.40 (define @t647 () (tptp.c_Pair @t3 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t648 () (@list @t3 @t640)) % 37.18/37.40 (define @t649 () (@list @t3 @t5 @t640)) % 37.18/37.40 (define @t650 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t640 @t3)) % 37.18/37.40 (define @t651 () (tptp.c_Pair @t43 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t652 () (@list @t43 @t3 @t640)) % 37.18/37.40 (define @t653 () (tptp.c_in @t641 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t640 @t2) @t639)) % 37.18/37.40 (define @t654 () (= @t43 @t3)) % 37.18/37.40 (define @t655 () (tptp.c_Pair @t90 @t93 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t656 () (tptp.c_in @t93 (tptp.hAPP @t29 @t90) @t24)) % 37.18/37.40 (define @t657 () (tptp.c_in @t200 @t486 @t133)) % 37.18/37.40 (define @t658 () (@list @t5 @t20 @t1 @t3 @t110)) % 37.18/37.40 (define @t659 () (@list @t3 @t20 @t1 @t5 @t110)) % 37.18/37.40 (define @t660 () (not @t657)) % 37.18/37.40 (define @t661 () (@var "V_b_H" $$unsorted)) % 37.18/37.40 (define @t662 () (@var "V_a_H" $$unsorted)) % 37.18/37.40 (define @t663 () (not (= @t200 (tptp.c_Pair @t662 @t661 @t1 @t24)))) % 37.18/37.40 (define @t664 () (@list @t90 @t93 @t1 @t24 @t662 @t661)) % 37.18/37.40 (define @t665 () (@var "V_i" $$unsorted)) % 37.18/37.40 (define @t666 () (tptp.hAPP tptp.v_P____ @t665)) % 37.18/37.40 (define @t667 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t668 () (tptp.c_in @t667 @t666 @t639)) % 37.18/37.40 (define @t669 () (not @t668)) % 37.18/37.40 (define @t670 () (tptp.c_Pair tptp.v_a_H____ tptp.v_b_H____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t671 () (tptp.c_in @t670 (tptp.hAPP tptp.v_P_H____ @t665) @t639)) % 37.18/37.40 (define @t672 () (or @t671 @t669)) % 37.18/37.40 (define @t673 () (@list @t665)) % 37.18/37.40 (define @t674 () (forall @t673 @t672)) % 37.18/37.40 (define @t675 () (not @t671)) % 37.18/37.40 (define @t676 () (or @t668 @t675)) % 37.18/37.40 (define @t677 () (forall @t673 @t676)) % 37.18/37.40 (define @t678 () (= tptp.v_a____ tptp.v_b_H____)) % 37.18/37.40 (define @t679 () (= tptp.v_b____ tptp.v_a_H____)) % 37.18/37.40 (define @t680 () (tptp.v_F tptp.v_P____)) % 37.18/37.40 (define @t681 () (tptp.c_in @t667 @t680 @t639)) % 37.18/37.40 (define @t682 () (not @t681)) % 37.18/37.40 (define @t683 () (tptp.c_in @t670 (tptp.v_F tptp.v_P_H____) @t639)) % 37.18/37.40 (define @t684 () (not @t683)) % 37.18/37.40 (define @t685 () (tptp.hBOOL (tptp.hAPP @t25 @t3))) % 37.18/37.40 (define @t686 () (tptp.c_in @t3 @t25 @t1)) % 37.18/37.40 (define @t687 () (not @t679)) % 37.18/37.40 (define @t688 () (not @t678)) % 37.18/37.40 (define @t689 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun @t639 tptp.tc_bool))) % 37.18/37.40 (define @t690 () (tptp.c_in tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf @t689)) % 37.18/37.40 (define @t691 () (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t689)) % 37.18/37.40 (define @t692 () (not (tptp.c_in @t35 tptp.c_Arrow__Order__Mirabelle_OProf @t689))) % 37.18/37.40 (define @t693 () (@var "V_P_H" $$unsorted)) % 37.18/37.40 (define @t694 () (not (tptp.c_in @t693 tptp.c_Arrow__Order__Mirabelle_OProf @t689))) % 37.18/37.40 (define @t695 () (tptp.v_sko__CHAINED__1 @t35 @t693 @t90 @t93)) % 37.18/37.40 (define @t696 () (tptp.c_in @t655 (tptp.hAPP @t35 @t695) @t639)) % 37.18/37.40 (define @t697 () (not @t696)) % 37.18/37.40 (define @t698 () (tptp.c_Pair @t93 @t90 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t699 () (tptp.c_in @t698 (tptp.hAPP @t693 @t695) @t639)) % 37.18/37.40 (define @t700 () (not @t699)) % 37.18/37.40 (define @t701 () (tptp.c_in @t698 (tptp.v_F @t693) @t639)) % 37.18/37.40 (define @t702 () (not @t701)) % 37.18/37.40 (define @t703 () (tptp.c_in @t655 (tptp.v_F @t35) @t639)) % 37.18/37.40 (define @t704 () (@list @t90 @t93 @t35 @t693)) % 37.18/37.40 (define @t705 () (not @t703)) % 37.18/37.40 (define @t706 () (@list @t93 @t90 @t693 @t35)) % 37.18/37.40 (define @t707 () (forall @t704 (or @t703 @t702 @t699 @t696 @t694 @t692 @t122))) % 37.18/37.40 (define @t708 () (or @t684 @t682)) % 37.18/37.40 (define @t709 () (or @t681 @t683)) % 37.18/37.40 (define @t710 () (@var "T_1" $$unsorted)) % 37.18/37.40 (define @t711 () (not (tptp.class_Lattices_Olattice @t710))) % 37.18/37.40 (define @t712 () (@var "T_2" $$unsorted)) % 37.18/37.40 (define @t713 () (tptp.tc_fun @t712 @t710)) % 37.18/37.40 (define @t714 () (@list @t712 @t710)) % 37.18/37.40 (define @t715 () (@var "V_Y" $$unsorted)) % 37.18/37.40 (define @t716 () (@var "V_X" $$unsorted)) % 37.18/37.40 (define @t717 () (tptp.v_sko__CHAINED__1 tptp.v_P____ tptp.v_P_H____ tptp.v_b_H____ tptp.v_a_H____)) % 37.18/37.40 (define @t718 () (@list @t717)) % 37.18/37.40 (define @t719 () (tptp.c_in @t670 (tptp.hAPP tptp.v_P_H____ @t717) @t639)) % 37.18/37.40 (define @t720 () (not @t719)) % 37.18/37.40 (define @t721 () (tptp.c_Pair tptp.v_b_H____ tptp.v_a_H____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (define @t722 () (tptp.c_in @t721 (tptp.hAPP tptp.v_P____ @t717) @t639)) % 37.18/37.40 (define @t723 () (or @t722 @t720)) % 37.18/37.40 (define @t724 () (tptp.c_in @t721 @t680 @t639)) % 37.18/37.40 (define @t725 () (@list tptp.v_a_H____ tptp.v_b_H____ tptp.v_P_H____ tptp.v_P____)) % 37.18/37.40 (define @t726 () (= tptp.v_b_H____ tptp.v_a_H____)) % 37.18/37.40 (define @t727 () (not @t691)) % 37.18/37.40 (define @t728 () (not @t690)) % 37.18/37.40 (define @t729 () (not @t724)) % 37.18/37.40 (define @t730 () (or @t683 @t729 @t719 @t722 @t728 @t727 @t726)) % 37.18/37.40 (define @t731 () (not @t722)) % 37.18/37.40 (define @t732 () (or @t719 @t731)) % 37.18/37.40 (define @t733 () (or @t683 @t729 @t720 @t731 @t728 @t727 @t726)) % 37.18/37.40 (define @t734 () (@list false true false false false true false false)) % 37.18/37.40 (define @t735 () (@list tptp.v_b_H____ tptp.v_a_H____ tptp.v_P____ tptp.v_P_H____)) % 37.18/37.40 (define @t736 () (or @t724 @t684 @t720 @t731 @t728 @t727 @t726)) % 37.18/37.40 (define @t737 () (@list true false)) % 37.18/37.40 (define @t738 () (or @t724 @t684 @t719 @t722 @t728 @t727 @t726)) % 37.18/37.40 (define @t739 () (not @t738)) % 37.18/37.40 (assume @p1 (forall @t11 (or @t10 (= @t9 @t7)))) % 37.18/37.40 (assume @p2 (forall @t13 (or @t10 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t3 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1) @t1))))) % 37.18/37.40 (assume @p3 (forall @t19 (or (not (= @t18 @t17)) @t15))) % 37.18/37.40 (assume @p4 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t20 @t16) @t20))) % 37.18/37.40 (assume @p5 (forall @t23 (or @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t1) @t3)))) % 37.18/37.40 (assume @p6 (forall (@list @t14 @t25 @t24 @t1 @t20) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t25 @t28) @t20 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 (tptp.c_Relation_OImage @t25 @t20 @t24 @t1) @t16)))) % 37.18/37.40 (assume @p7 (forall @t33 (= (tptp.c_Relation_OImage @t14 @t32 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t30 @t16)))) % 37.18/37.40 (assume @p8 (forall (@list @t35 @t37 @t14 @t1) (or (tptp.hBOOL (tptp.hAPP @t35 @t37)) (not (tptp.hBOOL (tptp.hAPP @t35 @t36))) @t34))) % 37.18/37.40 (assume @p9 (forall (@list @t3 @t5 @t20 @t1) (= (tptp.c_Set_Oinsert @t3 @t39 @t1) (tptp.c_Set_Oinsert @t5 @t38 @t1)))) % 37.18/37.40 (assume @p10 (forall (@list @t35 @t1 @t24 @t40) (= (tptp.hAPP (tptp.c_COMBK @t35 @t1 @t24) @t40) @t35))) % 37.18/37.40 (assume @p11 (forall @t42 (= (tptp.c_HOL_Ominus__class_Ominus @t41 @t29 @t16) @t41))) % 37.18/37.40 (assume @p12 (forall (@list @t43 @t3 @t1) (= (tptp.c_Set_Oinsert @t43 @t44 @t1) (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oinsert @t43 @t17 @t1) @t1)))) % 37.18/37.40 (assume @p13 (forall (@list @t1 @t43 @t5 @t3) (or @t46 (not (= (tptp.c_HOL_Ominus__class_Ominus @t43 @t5 @t1) @t45)) (= @t43 @t5)))) % 37.18/37.40 (assume @p14 (forall (@list @t1 @t3 @t48 @t47) (or @t46 (not (= @t45 @t49)) (= @t48 @t47)))) % 37.18/37.40 (assume @p15 (forall (@list @t51 @t24 @t1) (= @t52 @t17))) % 37.18/37.40 (assume @p16 (forall @t42 (= @t41 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t53 @t16)))) % 37.18/37.40 (assume @p17 (forall @t57 (or @t56 (= @t55 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t54 @t1))))) % 37.18/37.40 (assume @p18 (forall (@list @t51 @t20 @t24 @t1 @t29) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t59 @t58 @t16) (tptp.c_Set_Oimage @t51 (tptp.c_HOL_Ominus__class_Ominus @t20 @t29 @t31) @t24 @t1) @t16))) % 37.18/37.40 (assume @p19 (forall @t64 (= @t63 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t29 @t61 @t16)))) % 37.18/37.40 (assume @p20 (forall @t66 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t60 @t16) @t63))) % 37.18/37.40 (assume @p21 (forall @t11 (or @t22 @t69))) % 37.18/37.40 (assume @p22 (forall @t11 (or @t22 @t71))) % 37.18/37.40 (assume @p23 (forall @t11 (or @t72 @t71))) % 37.18/37.40 (assume @p24 (forall @t11 (or @t72 @t69))) % 37.18/37.40 (assume @p25 (forall @t42 (or (= @t75 @t20) @t74))) % 37.18/37.40 (assume @p26 (forall @t42 (or (= @t75 @t29) @t77))) % 37.18/37.40 (assume @p27 (forall @t57 (or @t81 @t80 @t79))) % 37.18/37.40 (assume @p28 (forall @t57 (or @t81 (not @t80) @t78))) % 37.18/37.40 (assume @p29 (forall @t57 (or @t81 (= @t6 @t5) @t83))) % 37.18/37.40 (assume @p30 (forall @t66 (or @t88 @t87 @t85))) % 37.18/37.40 (assume @p31 (forall @t89 (tptp.c_lessequals @t29 @t65 @t16))) % 37.18/37.40 (assume @p32 (forall @t42 (tptp.c_lessequals @t20 @t65 @t16))) % 37.18/37.40 (assume @p33 (forall @t98 (or @t22 @t97 @t95 @t92))) % 37.18/37.40 (assume @p34 (forall @t57 (or @t22 @t99))) % 37.18/37.40 (assume @p35 (forall @t101 (or @t22 @t100))) % 37.18/37.40 (assume @p36 (forall @t13 (or @t22 (tptp.c_lessequals @t8 @t3 @t1) (not @t102) @t83))) % 37.18/37.40 (assume @p37 (forall @t11 (or @t22 @t107 @t106 @t104))) % 37.18/37.40 (assume @p38 (forall @t101 (or @t72 @t100))) % 37.18/37.40 (assume @p39 (forall @t57 (or @t72 @t99))) % 37.18/37.40 (assume @p40 (forall @t42 (= @t75 @t108))) % 37.18/37.40 (assume @p41 (forall @t57 (or @t81 @t109))) % 37.18/37.40 (assume @p42 (forall @t57 (or @t72 @t109))) % 37.18/37.40 (assume @p43 (forall @t114 (or @t113 @t112))) % 37.18/37.40 (assume @p44 (forall @t42 (or (= @t116 @t29) @t74))) % 37.18/37.40 (assume @p45 (forall @t11 (or @t72 (tptp.c_lessequals @t7 @t9 @t1)))) % 37.18/37.40 (assume @p46 (forall @t42 (tptp.c_lessequals @t41 @t20 @t16))) % 37.18/37.40 (assume @p47 (forall @t121 (= @t120 @t117))) % 37.18/37.40 (assume @p48 (forall (@list @t90 @t1 @t93) (or (not (= @t118 @t123)) @t122))) % 37.18/37.40 (assume @p49 (forall @t66 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t126 @t16) @t125 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t62 @t16) @t124 @t16)))) % 37.18/37.40 (assume @p50 (forall (@list @t127 @t1 @t24) (= (tptp.c_Set_Oimage @t128 @t50 @t24 @t1) @t17))) % 37.18/37.40 (assume @p51 (forall (@list @t3 @t43 @t1) (or (not (= (tptp.c_Set_Oinsert @t3 @t43 @t1) @t17)) (tptp.c_in @t3 @t43 @t1)))) % 37.18/37.40 (assume @p52 (forall @t132 (or @t131 @t130))) % 37.18/37.40 (assume @p53 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t135 @t16) @t60 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t138 @t136 @t134)))) % 37.18/37.40 (assume @p54 (forall (@list @t5 @t20 @t1 @t3) (or @t142 @t141))) % 37.18/37.40 (assume @p55 (forall @t146 (or @t145 @t74 @t143))) % 37.18/37.40 (assume @p56 (forall @t148 (or @t73 @t143 @t147))) % 37.18/37.40 (assume @p57 (forall @t148 (or @t73 @t147 @t143))) % 37.18/37.40 (assume @p58 (forall @t64 (= @t150 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t149 @t16)))) % 37.18/37.40 (assume @p59 (forall @t151 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t20 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t108 @t125 @t16)))) % 37.18/37.40 (assume @p60 (forall (@list @t20 @t1 @t24 @t29) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t153 @t152 @t16) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t20 @t29 @t134) @t1 @t24) @t16))) % 37.18/37.40 (assume @p61 (forall @t42 (or @t155 (= @t41 @t20)))) % 37.18/37.40 (assume @p62 (forall (@list @t93 @t90 @t1) (or (= @t93 @t90) (not (tptp.c_in @t93 @t118 @t1))))) % 37.18/37.40 (assume @p63 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t135 @t16) @t60 @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t136 @t134)))) % 37.18/37.40 (assume @p64 (forall (@list @t127 @t24 @t1 @t20 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t127 @t24 @t1) @t20 @t1 @t24) (tptp.c_Set_Oinsert @t127 @t50 @t24)) @t156))) % 37.18/37.40 (assume @p65 (forall (@list @t20 @t3 @t1 @t29) (or @t157 @t156 @t147))) % 37.18/37.40 (assume @p66 (forall @t146 (or @t145 @t156 @t158))) % 37.18/37.40 (assume @p67 (forall @t161 (or (= @t160 @t41) @t159))) % 37.18/37.40 (assume @p68 (forall @t148 (or @t73 @t130))) % 37.18/37.40 (assume @p69 (forall (@list @t20 @t93 @t29 @t1) (or (tptp.c_lessequals @t20 @t162 @t16) @t74))) % 37.18/37.40 (assume @p70 (forall (@list @t20 @t24 @t1 @t29) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t164 @t163 @t16) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t20 @t29 @t28) @t24 @t1) @t16))) % 37.18/37.40 (assume @p71 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t35 @t165))) @t112))) % 37.18/37.40 (assume @p72 (forall @t23 (or @t56 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t169 @t1) @t168)))) % 37.18/37.40 (assume @p73 (forall @t23 (or @t56 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t3 @t1) @t168)))) % 37.18/37.40 (assume @p74 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t170 @t16) @t17))) % 37.18/37.40 (assume @p75 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t170 @t20 @t16) @t17))) % 37.18/37.40 (assume @p76 (forall @t178 (tptp.c_lessequals @t177 @t174 @t172))) % 37.18/37.40 (assume @p77 (forall (@list @t1 @t51 @t20 @t24) (or (not (= @t17 @t59)) @t179))) % 37.18/37.40 (assume @p78 (forall @t181 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t180 @t60 @t16) (tptp.c_Set_Oinsert @t90 @t62 @t1)))) % 37.18/37.40 (assume @p79 (forall @t182 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t180 @t16) (tptp.c_Set_Oinsert @t90 @t65 @t1)))) % 37.18/37.40 (assume @p80 (forall @t188 (or @t187 @t186 (not @t185)))) % 37.18/37.40 (assume @p81 (forall @t189 (or @t187 @t185 (not @t186)))) % 37.18/37.40 (assume @p82 (forall (@list @t29 @t1 @t20) (or (tptp.c_lessequals @t53 @t170 @t16) @t74))) % 37.18/37.40 (assume @p83 (forall @t89 (or @t76 (not @t190)))) % 37.18/37.40 (assume @p84 (forall @t191 (or @t190 @t77))) % 37.18/37.40 (assume @p85 (forall @t192 (tptp.c_lessequals @t17 @t20 @t16))) % 37.18/37.40 (assume @p86 (forall @t23 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t168 @t3 @t1)))) % 37.18/37.40 (assume @p87 (forall @t42 (= (tptp.c_HOL_Ouminus__class_Ouminus @t41 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t29 @t16)))) % 37.18/37.40 (assume @p88 (forall @t182 (= @t193 (tptp.c_HOL_Ominus__class_Ominus @t41 @t118 @t16)))) % 37.18/37.40 (assume @p89 (forall @t182 (= @t193 (tptp.c_HOL_Ominus__class_Ominus @t119 @t29 @t16)))) % 37.18/37.40 (assume @p90 (forall @t121 (not (= @t117 @t17)))) % 37.18/37.40 (assume @p91 (forall (@list @t90 @t20 @t1 @t29) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t180 @t16) @t194))) % 37.18/37.40 (assume @p92 (forall @t195 (= (tptp.c_Relation_OImage @t14 @t50 @t24 @t1) @t17))) % 37.18/37.40 (assume @p93 (forall @t196 (= (tptp.c_Set_Oinsert @t3 @t38 @t1) @t38))) % 37.18/37.40 (assume @p94 (forall (@list @t20 @t3 @t5 @t1) (or @t140 @t197 (not @t142)))) % 37.18/37.40 (assume @p95 (forall @t198 (tptp.c_lessequals @t17 (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t16) @t16))) % 37.18/37.40 (assume @p96 (forall @t201 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t200 @t110 @t133) @t1 @t24) (tptp.c_Set_Oinsert @t90 @t199 @t1)))) % 37.18/37.40 (assume @p97 (forall @t207 (or (tptp.c_Relation_Osym @t206 @t1) @t205 @t203))) % 37.18/37.40 (assume @p98 (forall @t208 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t29 @t134) @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t153 @t152 @t16) @t16))) % 37.18/37.40 (assume @p99 (forall @t23 (or @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t168 @t1) @t168)))) % 37.18/37.40 (assume @p100 (forall @t23 (or @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t168 @t3 @t1) @t168)))) % 37.18/37.40 (assume @p101 (forall @t210 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t29 @t16) @t17))) % 37.18/37.40 (assume @p102 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t17 @t16) @t17))) % 37.18/37.40 (assume @p103 (forall (@list @t29 @t90 @t1) (tptp.c_lessequals @t29 @t180 @t16))) % 37.18/37.40 (assume @p104 (forall @t212 (tptp.c_lessequals (tptp.c_Set_Oimage @t51 @t211 @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t59 @t58 @t16) @t16))) % 37.18/37.40 (assume @p105 (forall @t33 (tptp.c_lessequals @t214 @t213 @t16))) % 37.18/37.40 (assume @p106 (forall @t66 (or (not @t216) @t215))) % 37.18/37.40 (assume @p107 (forall @t66 (or @t216 @t217))) % 37.18/37.40 (assume @p108 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t137 @t135 @t16) @t60 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t138 @t136 @t134)))) % 37.18/37.40 (assume @p109 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t17 @t16) @t20))) % 37.18/37.40 (assume @p110 (forall @t21 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t16) @t17))) % 37.18/37.40 (assume @p111 (forall @t220 (or @t219 @t140 (not @t218)))) % 37.18/37.40 (assume @p112 (forall @t148 (or @t218 @t221))) % 37.18/37.40 (assume @p113 (forall @t148 (or @t218 @t141))) % 37.18/37.40 (assume @p114 (forall @t223 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t222 (tptp.c_Relation_ORange @t204 @t1 @t1) @t16) @t17)) (not (tptp.c_Wellfounded_Owf @t204 @t1)) @t112 (tptp.c_Wellfounded_Owf @t206 @t1)))) % 37.18/37.40 (assume @p115 (forall @t227 (= (tptp.c_Product__Type_OSigma @t75 @t224 @t1 @t24) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t226 @t225 @t134)))) % 37.18/37.40 (assume @p116 (forall @t231 (or (tptp.c_Relation_Orefl__on @t65 @t206 @t1) @t230 @t229))) % 37.18/37.40 (assume @p117 (forall @t11 (or @t72 @t234))) % 37.18/37.40 (assume @p118 (forall @t11 (or @t72 @t235))) % 37.18/37.40 (assume @p119 (forall @t11 (or @t81 @t235))) % 37.18/37.40 (assume @p120 (forall @t11 (or @t81 @t234))) % 37.18/37.40 (assume @p121 (forall @t66 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t60 @t16) @t236))) % 37.18/37.40 (assume @p122 (forall @t64 (= @t236 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t149 @t16)))) % 37.18/37.40 (assume @p123 (forall @t23 (or @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t168 @t1) @t3)))) % 37.18/37.40 (assume @p124 (forall @t23 (or @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t168 @t3 @t1) @t3)))) % 37.18/37.40 (assume @p125 (forall @t210 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t29 @t16) @t29))) % 37.18/37.40 (assume @p126 (forall @t21 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t17 @t16) @t20))) % 37.18/37.40 (assume @p127 (forall @t192 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t20 @t16) @t17))) % 37.18/37.40 (assume @p128 (forall (@list @t90 @t20 @t1 @t93 @t29 @t24) (= (tptp.c_Product__Type_OSigma @t117 @t238 @t1 @t24) (tptp.c_Set_Oinsert @t200 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t20 @t238 @t1 @t24) (tptp.c_Product__Type_OSigma @t117 @t237 @t1 @t24) @t134) @t133)))) % 37.18/37.40 (assume @p129 (forall @t23 (not (tptp.hBOOL (tptp.hAPP @t17 @t3))))) % 37.18/37.40 (assume @p130 (forall @t239 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t41 @t16) (tptp.c_HOL_Ominus__class_Ominus @t125 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t29 @t16) @t16)))) % 37.18/37.40 (assume @p131 (forall @t66 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t41 @t60 @t16) @t240))) % 37.18/37.40 (assume @p132 (forall (@list @t127 @t1 @t24 @t20) (or (= (tptp.c_Set_Oimage @t128 @t20 @t24 @t1) (tptp.c_Set_Oinsert @t127 @t17 @t1)) @t179))) % 37.18/37.40 (assume @p133 (forall @t242 (or (tptp.c_lessequals @t41 (tptp.c_HOL_Ominus__class_Ominus @t60 @t241 @t16) @t16) (not (tptp.c_lessequals @t241 @t29 @t16)) @t85))) % 37.18/37.40 (assume @p134 (forall @t132 (or @t159 @t156 @t155))) % 37.18/37.40 (assume @p135 (forall @t207 (or (tptp.c_Relation_Otrans @t245 @t1) (not (tptp.c_Relation_Otrans @t204 @t1)) @t244))) % 37.18/37.40 (assume @p136 (forall @t11 (or @t72 (tptp.c_lessequals @t247 @t246 @t1)))) % 37.18/37.40 (assume @p137 (forall @t248 (= @t240 (tptp.c_HOL_Ominus__class_Ominus @t149 @t29 @t16)))) % 37.18/37.40 (assume @p138 (forall @t57 (or @t72 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t1) @t3)))) % 37.18/37.40 (assume @p139 (forall (@list @t35 @t250 @t110 @t1) (or (tptp.hBOOL (tptp.hAPP @t35 @t250)) (not (tptp.hBOOL (tptp.hAPP @t35 @t249))) @t112))) % 37.18/37.40 (assume @p140 (forall @t57 (or @t56 (not (= @t169 @t54)) @t251))) % 37.18/37.40 (assume @p141 (forall @t188 (or @t252 (not (= @t183 @t184)) @t122))) % 37.18/37.40 (assume @p142 (forall @t191 (or (not (= @t170 @t53)) @t253))) % 37.18/37.40 (assume @p143 (forall @t114 (or @t113 (not @t255)))) % 37.18/37.40 (assume @p144 (forall @t114 (or @t255 @t256))) % 37.18/37.40 (assume @p145 (forall @t57 (or @t72 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t68 @t1) @t3)))) % 37.18/37.40 (assume @p146 (forall @t42 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t75 @t16) @t20))) % 37.18/37.40 (assume @p147 (forall @t57 (or @t22 (= @t68 @t3) @t83))) % 37.18/37.40 (assume @p148 (forall @t57 (or @t22 (not @t257) @t78))) % 37.18/37.40 (assume @p149 (forall @t57 (or @t22 @t257 @t79))) % 37.18/37.40 (assume @p150 (forall @t42 (or @t258 @t74))) % 37.18/37.40 (assume @p151 (forall @t42 (or (= @t65 @t20) @t77))) % 37.18/37.40 (assume @p152 (forall @t42 (or (not @t258) @t73))) % 37.18/37.40 (assume @p153 (forall @t231 (or (tptp.c_Relation_Orefl__on @t75 @t245 @t1) @t230 @t229))) % 37.18/37.40 (assume @p154 (forall @t263 (or @t262 @t261 @t259))) % 37.18/37.40 (assume @p155 (forall @t263 (or @t262 @t264 @t259))) % 37.18/37.40 (assume @p156 (forall @t263 (or @t262 @t261 @t265))) % 37.18/37.40 (assume @p157 (forall @t268 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t204 @t28) @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t267 @t266 @t134)))) % 37.18/37.40 (assume @p158 (forall @t182 (or (= @t270 @t75) @t269))) % 37.18/37.40 (assume @p159 (forall @t181 (or (= @t272 @t126) @t271))) % 37.18/37.40 (assume @p160 (forall @t276 (or @t275 @t274))) % 37.18/37.40 (assume @p161 (forall @t42 (or @t277 (= @t29 @t17)))) % 37.18/37.40 (assume @p162 (forall @t42 (or @t277 @t278))) % 37.18/37.40 (assume @p163 (forall @t280 (or @t209 @t279 (= @t20 @t168)))) % 37.18/37.40 (assume @p164 (forall @t280 (or @t209 @t279 (= @t29 @t168)))) % 37.18/37.40 (assume @p165 (forall @t89 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t115 @t20 @t16) @t281))) % 37.18/37.40 (assume @p166 (forall @t42 (= @t116 @t65))) % 37.18/37.40 (assume @p167 (forall (@list @t25 @t283 @t1 @t282 @t14 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t283 @t285) @t14 @t1 @t282 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t25 @t14 @t1 @t282 @t24) (tptp.c_Relation_Orel__comp @t283 @t14 @t1 @t282 @t24) @t134)))) % 37.18/37.40 (assume @p168 (forall (@list @t14 @t25 @t283 @t282 @t24 @t1) (= (tptp.c_Relation_Orel__comp @t14 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t283 (tptp.tc_fun @t286 tptp.tc_bool)) @t1 @t282 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t14 @t25 @t1 @t282 @t24) (tptp.c_Relation_Orel__comp @t14 @t283 @t1 @t282 @t24) @t134)))) % 37.18/37.40 (assume @p169 (forall (@list @t60 @t29 @t1 @t20) (or @t289 @t288))) % 37.18/37.40 (assume @p170 (forall (@list @t60 @t20 @t1 @t29) (or @t215 @t288))) % 37.18/37.40 (assume @p171 (forall @t294 (or @t81 @t293 @t292))) % 37.18/37.40 (assume @p172 (forall (@list @t1 @t3 @t93 @t90) (or @t81 @t295 @t292))) % 37.18/37.40 (assume @p173 (forall @t98 (or @t81 @t296 @t92))) % 37.18/37.40 (assume @p174 (forall @t98 (or @t81 @t296 @t95))) % 37.18/37.40 (assume @p175 (forall @t11 (or @t81 @t78 @t298))) % 37.18/37.40 (assume @p176 (forall @t299 (or @t81 @t103 @t298))) % 37.18/37.40 (assume @p177 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t65 @t60 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t301 @t300 @t16)))) % 37.18/37.40 (assume @p178 (forall @t188 (or @t303 (= @t290 (tptp.c_HOL_Ouminus__class_Ouminus @t302 @t1))))) % 37.18/37.40 (assume @p179 (forall @t42 (= @t65 @t281))) % 37.18/37.40 (assume @p180 (forall @t57 (or @t22 @t305))) % 37.18/37.40 (assume @p181 (forall @t57 (or @t72 @t305))) % 37.18/37.40 (assume @p182 (forall @t42 (= (tptp.c_HOL_Ouminus__class_Ouminus @t75 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t53 @t16)))) % 37.18/37.40 (assume @p183 (forall @t57 (or @t56 (= (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t169 @t54 @t1))))) % 37.18/37.40 (assume @p184 (forall @t188 (or @t303 (= (tptp.c_HOL_Ouminus__class_Ouminus @t290 @t1) @t302)))) % 37.18/37.40 (assume @p185 (forall @t208 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t29 @t134) @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t152 @t16)))) % 37.18/37.40 (assume @p186 (forall @t121 (= @t117 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t20 @t16)))) % 37.18/37.40 (assume @p187 (forall @t42 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t65 @t16) @t65))) % 37.18/37.40 (assume @p188 (forall @t57 (or @t22 @t306))) % 37.18/37.40 (assume @p189 (forall @t57 (or @t72 @t306))) % 37.18/37.40 (assume @p190 (forall (@list @t1 @t51 @t24) (= @t17 @t52))) % 37.18/37.40 (assume @p191 (forall @t42 (= (tptp.c_HOL_Ouminus__class_Ouminus @t65 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t170 @t53 @t16)))) % 37.18/37.40 (assume @p192 (forall @t57 (or @t56 (= (tptp.c_HOL_Ouminus__class_Ouminus @t68 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t54 @t1))))) % 37.18/37.40 (assume @p193 (forall @t188 (or @t303 (= (tptp.c_HOL_Ouminus__class_Ouminus @t96 @t1) @t307)))) % 37.18/37.40 (assume @p194 (forall @t42 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t115 @t16) @t17))) % 37.18/37.40 (assume @p195 (forall @t308 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t29 @t28) @t24 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t164 @t163 @t16) @t16))) % 37.18/37.40 (assume @p196 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t35 @t309))) @t112))) % 37.18/37.40 (assume @p197 (forall @t178 (= (tptp.c_Transitive__Closure_Ortrancl @t177 @t1) @t174))) % 37.18/37.40 (assume @p198 (forall @t42 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t53 @t16) @t75))) % 37.18/37.40 (assume @p199 (forall @t161 (or (= @t160 (tptp.c_Set_Oinsert @t3 @t41 @t1)) @t131))) % 37.18/37.40 (assume @p200 (forall @t146 (or @t145 @t74 @t158))) % 37.18/37.40 (assume @p201 (forall @t220 (or @t219 @t311))) % 37.18/37.40 (assume @p202 (forall @t146 (or @t140 @t311))) % 37.18/37.40 (assume @p203 (forall @t314 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t313 @t110 @t27) @t24 @t1) (tptp.c_Set_Oinsert @t93 @t312 @t1)))) % 37.18/37.40 (assume @p204 (forall @t42 (or @t154 (not @t315)))) % 37.18/37.40 (assume @p205 (forall @t42 (or @t155 @t315))) % 37.18/37.40 (assume @p206 (forall @t207 (or (tptp.c_Relation_Osym @t245 @t1) @t205 @t203))) % 37.18/37.40 (assume @p207 (forall @t196 (or (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t44 @t16) @t20) @t143))) % 37.18/37.40 (assume @p208 (forall @t66 (or @t317 (not @t316)))) % 37.18/37.40 (assume @p209 (forall @t64 (or @t316 (not @t317)))) % 37.18/37.40 (assume @p210 (forall (@list @t51 @t318 @t110 @t3 @t1 @t24) (or (not (= (tptp.hAPP @t51 @t320) (tptp.hAPP @t318 @t320))) @t319))) % 37.18/37.40 (assume @p211 (forall @t21 (= (tptp.c_HOL_Ouminus__class_Ouminus @t170 @t16) @t20))) % 37.18/37.40 (assume @p212 (forall @t322 (or @t252 (= @t321 @t90)))) % 37.18/37.40 (assume @p213 (forall @t23 (or @t56 (= (tptp.c_HOL_Ouminus__class_Ouminus @t169 @t1) @t3)))) % 37.18/37.40 (assume @p214 (forall @t324 (or @t252 (= @t93 @t323)))) % 37.18/37.40 (assume @p215 (forall @t322 (or @t252 (= @t90 @t321)))) % 37.18/37.40 (assume @p216 (forall @t324 (or @t252 (= @t323 @t93)))) % 37.18/37.40 (assume @p217 (forall @t329 (or @t113 @t328))) % 37.18/37.40 (assume @p218 (forall @t188 (or @t46 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t90 @t93 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t93 @t90 @t1))))) % 37.18/37.40 (assume @p219 (forall @t189 (or @t187 @t331 (not @t330)))) % 37.18/37.40 (assume @p220 (forall @t188 (or @t187 @t330 (not @t331)))) % 37.18/37.40 (assume @p221 (forall @t189 (or @t187 @t333 (not @t332)))) % 37.18/37.40 (assume @p222 (forall @t188 (or @t187 @t332 (not @t333)))) % 37.18/37.40 (assume @p223 (forall @t339 (or @t338 @t337 @t335))) % 37.18/37.40 (assume @p224 (forall (@list @t90 @t93 @t20 @t1) (or @t341 @t340))) % 37.18/37.40 (assume @p225 (forall (@list @t90 @t93 @t29 @t1) (or (tptp.c_in @t90 @t162 @t1) (not (tptp.c_in @t90 @t29 @t1))))) % 37.18/37.40 (assume @p226 (forall @t339 (or @t342 @t335))) % 37.18/37.40 (assume @p227 (forall @t339 (or @t342 @t337))) % 37.18/37.40 (assume @p228 (forall @t344 @t343)) % 37.18/37.40 (assume @p229 (forall @t346 (or @t345 @t343))) % 37.18/37.40 (assume @p230 (forall (@list @t127 @t1) (not (tptp.c_in @t127 @t17 @t1)))) % 37.18/37.40 (assume @p231 (forall @t347 (not (tptp.c_in @t90 @t17 @t1)))) % 37.18/37.40 (assume @p232 (forall (@list @t90 @t20 @t1 @t93) (or @t269 @t122 (not @t341)))) % 37.18/37.40 (assume @p233 (forall @t348 (or @t336 @t334 (not @t342)))) % 37.18/37.40 (assume @p234 (forall @t348 (or @t337 @t350))) % 37.18/37.40 (assume @p235 (forall @t351 (or @t334 @t350))) % 37.18/37.40 (assume @p236 (forall @t353 (or @t352 @t334))) % 37.18/37.40 (assume @p237 (forall @t353 (or @t335 (not @t352)))) % 37.18/37.40 (assume @p238 (forall @t196 (tptp.c_in @t3 @t38 @t1))) % 37.18/37.40 (assume @p239 (forall (@list @t90 @t29 @t1) (tptp.c_in @t90 @t180 @t1))) % 37.18/37.40 (assume @p240 (forall (@list @t3 @t29 @t1) (tptp.c_in @t3 @t144 @t1))) % 37.18/37.40 (assume @p241 (forall @t348 (or @t336 @t354))) % 37.18/37.40 (assume @p242 (forall @t351 (or @t334 @t354))) % 37.18/37.40 (assume @p243 (forall @t346 (or @t355 @t343))) % 37.18/37.40 (assume @p244 (forall @t339 (or @t349 @t336 @t335))) % 37.18/37.40 (assume @p245 (forall @t161 (or (not (= @t38 @t144)) @t131 @t143 @t253))) % 37.18/37.40 (assume @p246 (forall @t121 (or (= @t117 @t20) @t340))) % 37.18/37.40 (assume @p247 (forall @t363 (or (not @t362) @t359 @t357 @t356))) % 37.18/37.40 (assume @p248 (forall @t370 (or @t369 @t356 @t367 @t365 @t156))) % 37.18/37.40 (assume @p249 (forall @t370 (or @t368 @t371 @t365 @t156 @t356))) % 37.18/37.40 (assume @p250 (forall @t370 (or @t369 @t365 @t156 @t356 @t367))) % 37.18/37.40 (assume @p251 (forall @t363 (or (tptp.c_lessequals @t361 @t360 @t16) @t372 @t356))) % 37.18/37.40 (assume @p252 (forall @t114 (tptp.c_Relation_Oirrefl @t374 @t1))) % 37.18/37.40 (assume @p253 (forall @t379 (or (tptp.c_in (tptp.c_Pair @t378 @t93 @t1 @t1) @t110 @t171) @t122 @t377))) % 37.18/37.40 (assume @p254 (forall @t383 (or @t382 (tptp.c_in (tptp.c_Pair @t90 @t381 @t1 @t1) @t375 @t171) @t380 @t377))) % 37.18/37.40 (assume @p255 (forall @t263 (or @t262 @t264 @t265))) % 37.18/37.40 (assume @p256 (forall @t21 (or @t278 (not (tptp.c_lessequals @t20 @t17 @t16))))) % 37.18/37.40 (assume @p257 (forall @t198 (tptp.c_lessequals @t17 @t17 @t16))) % 37.18/37.40 (assume @p258 (forall (@list @t1 @t90 @t20) (not (= @t17 @t117)))) % 37.18/37.40 (assume @p259 (forall @t181 (or (= @t272 (tptp.c_Set_Oinsert @t90 @t126 @t1)) (not @t271)))) % 37.18/37.40 (assume @p260 (forall @t182 (or (= @t270 @t194) @t340))) % 37.18/37.40 (assume @p261 (forall (@list @t51 @t90 @t29 @t24 @t1) (= (tptp.c_Set_Oimage @t51 (tptp.c_Set_Oinsert @t90 @t29 @t24) @t24 @t1) (tptp.c_Set_Oinsert @t384 @t58 @t1)))) % 37.18/37.40 (assume @p262 (forall (@list @t1 @t110) (tptp.c_Relation_Ototal__on @t17 @t110 @t1))) % 37.18/37.40 (assume @p263 (forall @t242 (or (tptp.c_lessequals @t65 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t241 @t16) @t16) @t385 @t85))) % 37.18/37.40 (assume @p264 (forall @t268 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t204 @t28) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t267 @t266 @t134)))) % 37.18/37.40 (assume @p265 (forall @t57 (or @t72 @t386))) % 37.18/37.40 (assume @p266 (forall @t57 (or @t72 @t387))) % 37.18/37.40 (assume @p267 (forall @t11 (or @t81 @t297 @t104 @t79))) % 37.18/37.40 (assume @p268 (forall @t294 (or @t81 @t291 @t389 @t388))) % 37.18/37.40 (assume @p269 (forall @t57 (or @t81 @t387))) % 37.18/37.40 (assume @p270 (forall @t57 (or @t81 @t386))) % 37.18/37.40 (assume @p271 (forall @t42 (tptp.c_lessequals @t75 @t20 @t16))) % 37.18/37.40 (assume @p272 (forall @t42 (tptp.c_lessequals @t75 @t29 @t16))) % 37.18/37.40 (assume @p273 (forall @t239 (or @t287 (not @t289) @t217))) % 37.18/37.40 (assume @p274 (forall @t227 (= (tptp.c_Product__Type_OSigma @t65 @t224 @t1 @t24) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t226 @t225 @t134)))) % 37.18/37.40 (assume @p275 (forall @t13 (or @t10 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t232 @t3 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t304 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1) @t1))))) % 37.18/37.40 (assume @p276 (forall @t11 (or @t10 (= @t247 @t246)))) % 37.18/37.40 (assume @p277 (forall @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t126 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t61 @t16)))) % 37.18/37.40 (assume @p278 (forall @t151 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t126 @t20 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t281 @t124 @t16)))) % 37.18/37.40 (assume @p279 (forall @t390 (or @t243 @t274))) % 37.18/37.40 (assume @p280 (forall @t196 (tptp.hBOOL (tptp.hAPP @t38 @t3)))) % 37.18/37.40 (assume @p281 (forall @t161 (or @t129 @t74 @t159))) % 37.18/37.40 (assume @p282 (forall @t227 (= (tptp.c_Product__Type_OSigma @t41 @t224 @t1 @t24) (tptp.c_HOL_Ominus__class_Ominus @t226 @t225 @t134)))) % 37.18/37.40 (assume @p283 (forall @t57 (or @t72 @t391))) % 37.18/37.40 (assume @p284 (forall @t57 (or @t81 @t391))) % 37.18/37.40 (assume @p285 (forall @t42 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t75 @t16) @t75))) % 37.18/37.40 (assume @p286 (forall @t308 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t29 @t28) @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t164 @t163 @t16)))) % 37.18/37.40 (assume @p287 (forall (@list @t110 @t392 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t392 @t172) @t1) @t112))) % 37.18/37.40 (assume @p288 (forall (@list @t392 @t110 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t392 @t110 @t172) @t1) @t112))) % 37.18/37.40 (assume @p289 (forall @t121 (or (= @t120 @t20) @t340))) % 37.18/37.40 (assume @p290 (forall @t23 (or @t81 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t1) @t3)))) % 37.18/37.40 (assume @p291 (forall @t21 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t20 @t16) @t20))) % 37.18/37.40 (assume @p292 (forall @t13 (or @t22 @t105 @t393))) % 37.18/37.40 (assume @p293 (forall @t299 (or @t22 @t103 @t393))) % 37.18/37.40 (assume @p294 (forall @t294 (or @t22 @t394 @t389))) % 37.18/37.40 (assume @p295 (forall @t294 (or @t22 @t394 @t388))) % 37.18/37.40 (assume @p296 (forall (@list @t1 @t93 @t3 @t90) (or @t22 @t94 @t395))) % 37.18/37.40 (assume @p297 (forall (@list @t1 @t90 @t3 @t93) (or @t22 @t91 @t395))) % 37.18/37.40 (assume @p298 (forall @t248 (or @t84 @t396))) % 37.18/37.40 (assume @p299 (forall @t151 (or @t86 @t396))) % 37.18/37.40 (assume @p300 (forall @t223 (or @t113 @t397 (not (tptp.c_Wellfounded_Oacyclic @t204 @t1))))) % 37.18/37.40 (assume @p301 (forall (@list @t51 @t20 @t24 @t1) (or (not (= @t59 @t17)) @t179))) % 37.18/37.40 (assume @p302 (forall @t242 (or (tptp.c_lessequals @t75 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t241 @t16) @t16) @t385 @t85))) % 37.18/37.40 (assume @p303 (forall @t64 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t62 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t41 @t301 @t16)))) % 37.18/37.40 (assume @p304 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t75 @t60 @t16) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t300 @t16)))) % 37.18/37.40 (assume @p305 (forall @t344 (tptp.c_in @t3 @t44 @t1))) % 37.18/37.40 (assume @p306 (forall @t21 (or @t278 (not (tptp.c_lessequals @t20 @t170 @t16))))) % 37.18/37.40 (assume @p307 (forall (@list @t20 @t3 @t1) (or (= @t20 @t44) @t278 (not (tptp.c_lessequals @t20 @t44 @t16))))) % 37.18/37.40 (assume @p308 (forall @t64 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t126 @t16) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t301 @t16)))) % 37.18/37.40 (assume @p309 (forall @t148 (or @t310 @t221 @t141))) % 37.18/37.40 (assume @p310 (forall @t188 (or @t303 (= @t96 (tptp.c_HOL_Ouminus__class_Ouminus @t307 @t1))))) % 37.18/37.40 (assume @p311 (forall (@list @t29 @t60 @t20 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t29 (tptp.c_HOL_Ominus__class_Ominus @t60 @t20 @t16) @t16) @t20) @t87 @t74))) % 37.18/37.40 (assume @p312 (forall @t400 (or @t187 @t399 @t398 @t83))) % 37.18/37.40 (assume @p313 (forall @t400 (or @t187 @t399 @t82 (not @t398)))) % 37.18/37.40 (assume @p314 (forall (@list @t90 @t60 @t1 @t241) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t90 @t60 @t1) (tptp.c_Set_Oinsert @t90 @t241 @t1) @t16) (not (tptp.c_lessequals @t60 @t241 @t16))))) % 37.18/37.40 (assume @p315 (forall @t198 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t17 @t16) @t17))) % 37.18/37.40 (assume @p316 (forall @t212 (= (tptp.c_Set_Oimage @t51 @t32 @t24 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t59 @t58 @t16)))) % 37.18/37.40 (assume @p317 (forall @t390 (or @t401 @t274))) % 37.18/37.40 (assume @p318 (forall @t403 (or @t327 @t402 @t256))) % 37.18/37.40 (assume @p319 (forall @t405 (or @t404 @t328))) % 37.18/37.40 (assume @p320 (forall @t383 (or @t382 (tptp.c_in (tptp.c_Pair @t381 @t406 @t1 @t1) @t110 @t171) @t380 @t377))) % 37.18/37.40 (assume @p321 (forall (@list @t90 @t110 @t1 @t20) (or (tptp.c_in @t90 @t361 @t1) @t340 @t356))) % 37.18/37.40 (assume @p322 (forall (@list @t90 @t93 @t1 @t110 @t3 @t20) (or @t359 (not (tptp.c_in @t3 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t361 @t360 @t16) @t1)) @t356))) % 37.18/37.40 (assume @p323 (forall @t409 (or (= (tptp.c_Set_Oinsert @t408 @t407 @t24) @t407) @t156))) % 37.18/37.40 (assume @p324 (forall @t314 (or @t411 (not @t410)))) % 37.18/37.40 (assume @p325 (forall (@list @t93 @t110 @t90 @t24 @t1) (or @t410 (not @t411)))) % 37.18/37.40 (assume @p326 (forall (@list @t40 @t14 @t1 @t3) (or (tptp.c_in @t413 @t40 @t1) @t412 @t34))) % 37.18/37.40 (assume @p327 (forall @t418 (or (not (= @t417 @t416)) @t414 @t253))) % 37.18/37.40 (assume @p328 (forall @t329 (or @t111 @t420))) % 37.18/37.40 (assume @p329 (forall @t425 (or (tptp.c_in @t424 @t20 @t24) @t423))) % 37.18/37.40 (assume @p330 (forall @t427 (or @t426 (not (tptp.c_in @t3 @t176 @t171))))) % 37.18/37.40 (assume @p331 (forall @t427 (or @t426 (not (tptp.c_in @t3 @t175 @t171))))) % 37.18/37.40 (assume @p332 (forall @t363 (or @t362 @t372 @t356))) % 37.18/37.40 (assume @p333 (forall @t370 (or @t368 @t371 @t356))) % 37.18/37.40 (assume @p334 (forall @t167 (or @t166 (tptp.c_in @t431 @t428 @t1) @t430))) % 37.18/37.40 (assume @p335 (forall @t435 (or (not (tptp.c_in @t434 @t432 @t1)) @t433))) % 37.18/37.40 (assume @p336 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t35 @t431))) @t430))) % 37.18/37.40 (assume @p337 (forall @t438 (or @t437 (not (tptp.c_in @t436 @t428 @t1))))) % 37.18/37.40 (assume @p338 (forall @t178 (or @t441 (not @t439)))) % 37.18/37.40 (assume @p339 (forall @t442 (or @t439 (not @t441)))) % 37.18/37.40 (assume @p340 (forall @t114 (= @t443 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 (tptp.c_Relation_Orel__comp @t443 @t110 @t1 @t1 @t1) @t172)))) % 37.18/37.40 (assume @p341 (forall @t19 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t176 @t373 @t172) @t176))) % 37.18/37.40 (assume @p342 (forall @t19 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t373 @t172) @t1) @t176))) % 37.18/37.40 (assume @p343 (forall @t114 (= (tptp.c_Transitive__Closure_Ortrancl @t374 @t1) @t375))) % 37.18/37.40 (assume @p344 (forall @t114 (or (tptp.c_Relation_Oantisym @t375 @t1) @t256))) % 37.18/37.40 (assume @p345 (forall @t114 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t254 @t172) @t1))) % 37.18/37.40 (assume @p346 (forall @t114 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t254 @t172) @t1))) % 37.18/37.40 (assume @p347 (forall @t114 (or (tptp.c_Relation_Otrans @t444 @t1) @t244))) % 37.18/37.40 (assume @p348 (forall @t191 (= (tptp.c_Relation_OImage @t445 @t29 @t1 @t1) @t75))) % 37.18/37.40 (assume @p349 (forall @t114 (or @t447 (not @t446)))) % 37.18/37.40 (assume @p350 (forall @t114 (or @t446 @t448))) % 37.18/37.40 (assume @p351 (forall @t276 (or @t275 (not @t449)))) % 37.18/37.40 (assume @p352 (forall @t276 (or @t449 @t450))) % 37.18/37.40 (assume @p353 (forall @t383 (or @t382 (not (tptp.hBOOL (tptp.hAPP @t35 @t406))) @t380 @t377))) % 37.18/37.40 (assume @p354 (forall @t459 (or (tptp.c_in (tptp.c_Pair @t454 @t458 tptp.t_a tptp.t_a) @t452 @t451) @t457 @t456))) % 37.18/37.40 (assume @p355 (forall @t383 (or @t382 (tptp.hBOOL (tptp.hAPP @t35 @t381)) @t380 @t377))) % 37.18/37.40 (assume @p356 (forall @t459 (or (tptp.c_in (tptp.c_Pair @t458 @t453 tptp.t_a tptp.t_a) @t110 @t451) @t457 @t456))) % 37.18/37.40 (assume @p357 (forall (@list @t35 @t90 @t93 @t110 @t1) (or @t166 (not (tptp.hBOOL (tptp.hAPP @t35 (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t35 @t93 @t110 @t1)))) (not @t382) @t377))) % 37.18/37.40 (assume @p358 (forall @t379 (or (tptp.c_in (tptp.c_Pair @t90 @t378 @t1 @t1) @t375 @t171) @t122 @t377))) % 37.18/37.40 (assume @p359 (forall @t461 (or @t166 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t309 @t1 @t1) @t110 @t171)) @t112))) % 37.18/37.40 (assume @p360 (forall (@list @t35 @t43 @t5 @t110 @t1) (or (tptp.hBOOL (tptp.hAPP @t35 @t43)) @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t249 @t1 @t1) @t110 @t171)) @t112))) % 37.18/37.40 (assume @p361 (forall (@list @t35 @t462 @t5 @t14 @t1) (or (tptp.hBOOL (tptp.hAPP @t35 @t462)) @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t36 @t1 @t1) @t14 @t171)) @t34))) % 37.18/37.40 (assume @p362 (forall @t461 (or @t166 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t165 @t1 @t1) @t110 @t171)) @t112))) % 37.18/37.40 (assume @p363 (forall @t467 (or @t466 (tptp.c_in (tptp.c_Pair @t463 @t463 @t1 @t1) @t443 @t171)))) % 37.18/37.40 (assume @p364 (forall (@list @t110 @t3 @t2 @t1) (or (tptp.c_in (tptp.c_Pair @t472 @t2 @t1 @t1) @t443 @t171) @t471 @t470))) % 37.18/37.40 (assume @p365 (forall @t459 (or (tptp.c_in (tptp.c_Pair @t454 @t476 tptp.t_a tptp.t_a) @t473 @t451) @t475 @t474))) % 37.18/37.40 (assume @p366 (forall @t467 (or (not (tptp.c_in @t464 @t443 @t171)) @t256))) % 37.18/37.40 (assume @p367 (forall @t379 (or (tptp.c_in (tptp.c_Pair @t479 @t93 @t1 @t1) @t110 @t171) @t359 @t478))) % 37.18/37.40 (assume @p368 (forall @t379 (or (tptp.c_in (tptp.c_Pair @t90 @t479 @t1 @t1) @t443 @t171) @t359 @t478))) % 37.18/37.40 (assume @p369 (forall (@list @t3 @t110 @t2 @t1) (or (tptp.c_in (tptp.c_Pair @t3 @t472 @t1 @t1) @t110 @t171) @t471 @t470))) % 37.18/37.40 (assume @p370 (forall @t459 (or (tptp.c_in (tptp.c_Pair @t476 @t453 tptp.t_a tptp.t_a) @t110 @t451) @t475 @t474))) % 37.18/37.40 (assume @p371 (forall (@list @t90 @t93 @t1 @t110 @t20) (or @t359 @t357 (not (tptp.c_lessequals @t360 @t361 @t16)) @t356))) % 37.18/37.40 (assume @p372 (forall @t482 (or (tptp.c_in (tptp.c_Pair @t481 @t127 @t282 @t24) @t204 @t286) @t480))) % 37.18/37.40 (assume @p373 (forall @t482 (or (tptp.c_in (tptp.c_Pair @t90 @t481 @t1 @t282) @t110 @t284) @t480))) % 37.18/37.40 (assume @p374 (forall (@list @t483 @t1) (or (= @t483 (tptp.c_Pair @t484 @t484 @t1 @t1)) (not (tptp.c_in @t483 @t373 @t171))))) % 37.18/37.40 (assume @p375 (forall @t19 (or @t15 (tptp.c_lessequals @t18 (tptp.c_Relation_OImage @t14 @t18 @t1 @t1) @t16)))) % 37.18/37.40 (assume @p376 (forall (@list @t20 @t1 @t14) (or @t278 (not (tptp.c_lessequals @t20 (tptp.c_Relation_OImage @t14 @t20 @t1 @t1) @t16)) @t34))) % 37.18/37.40 (assume @p377 (forall @t114 (or @t111 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t110 @t1) @t428 @t1))))) % 37.18/37.40 (assume @p378 (forall @t114 (or @t111 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t110 @t1) @t428 @t1))))) % 37.18/37.40 (assume @p379 (forall @t488 (or @t487 (not (tptp.c_lessequals (tptp.hAPP @t29 @t485) (tptp.hAPP @t241 @t485) @t31)) @t85))) % 37.18/37.40 (assume @p380 (forall (@list @t110 @t20 @t24 @t1 @t29) (or @t490 (not @t489)))) % 37.18/37.40 (assume @p381 (forall (@list @t20 @t110 @t24 @t1 @t29) (or @t489 (not @t490)))) % 37.18/37.40 (assume @p382 (forall (@list @t20 @t127 @t1) (or (tptp.c_in @t492 @t20 @t1) @t491))) % 37.18/37.40 (assume @p383 (forall @t353 (or (= @t127 (tptp.c_Pair @t492 @t492 @t1 @t1)) @t491))) % 37.18/37.40 (assume @p384 (forall (@list @t51 @t110 @t3 @t1 @t24 @t318) (or @t319 (tptp.c_in (tptp.c_Pair @t320 @t3 @t1 @t1) @t110 @t171)))) % 37.18/37.40 (assume @p385 (forall @t390 (or (tptp.c_lessequals @t443 @t493 @t172) @t495))) % 37.18/37.40 (assume @p386 (forall @t442 (or @t439 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t14 @t25 @t1 @t1 @t1) @t14 @t172)) (not (tptp.c_Wellfounded_Owf @t25 @t1)) @t34))) % 37.18/37.40 (assume @p387 (forall @t223 (or (tptp.c_lessequals @t443 @t204 @t172) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t443 @t204 @t172) @t110 @t1 @t1 @t1) @t204 @t172)) @t397))) % 37.18/37.40 (assume @p388 (forall @t496 (or @t494 @t356))) % 37.18/37.40 (assume @p389 (forall (@list @t110 @t204 @t1 @t24 @t282 @t20 @t60 @t29) (or (tptp.c_lessequals @t501 (tptp.c_Product__Type_OSigma @t20 (tptp.c_COMBK @t60 @t500 @t1) @t1 @t282) @t285) (not (tptp.c_lessequals @t204 (tptp.c_Product__Type_OSigma @t29 (tptp.c_COMBK @t60 @t500 @t24) @t24 @t282) @t499)) @t497))) % 37.18/37.40 (assume @p390 (forall @t114 (= @t502 @t375))) % 37.18/37.40 (assume @p391 (forall @t114 (= (tptp.c_Transitive__Closure_Otrancl @t444 @t1) @t375))) % 37.18/37.40 (assume @p392 (forall @t114 (= @t375 @t502))) % 37.18/37.40 (assume @p393 (forall @t496 (or @t494 @t229))) % 37.18/37.40 (assume @p394 (forall @t114 (= @t375 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t373 @t503 @t172)))) % 37.18/37.40 (assume @p395 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 37.18/37.40 (assume @p396 (forall @t114 (or @t401 (tptp.c_in (tptp.c_Pair @t504 @t504 @t1 @t1) @t110 @t171)))) % 37.18/37.40 (assume @p397 (forall @t21 (tptp.c_lessequals @t445 @t493 @t172))) % 37.18/37.40 (assume @p398 (forall @t33 (or (= @t214 @t213) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t14 @t24 @t1) @t1 @t24))))) % 37.18/37.40 (assume @p399 (forall @t114 (or (tptp.c_Relation_Otrans @t374 @t1) @t448 @t244))) % 37.18/37.40 (assume @p400 (forall @t114 (or @t506 (not (tptp.c_in (tptp.c_Pair @t505 @t505 @t1 @t1) @t110 @t171))))) % 37.18/37.40 (assume @p401 (forall @t276 (or @t273 @t450 @t507 @t244))) % 37.18/37.40 (assume @p402 (forall (@list @t5 @t40 @t1 @t14 @t3) (or @t508 (not (tptp.c_in (tptp.c_Pair @t5 @t413 @t1 @t1) @t14 @t171)) @t412 @t34))) % 37.18/37.40 (assume @p403 (forall @t425 (or (tptp.c_in (tptp.c_Pair @t424 @t93 @t24 @t1) @t110 @t27) @t423))) % 37.18/37.40 (assume @p404 (forall @t435 (or (tptp.c_in (tptp.c_Pair @t434 @t3 @t1 @t1) @t14 @t171) @t433))) % 37.18/37.40 (assume @p405 (forall @t461 (or @t166 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t431 @t1 @t1) @t110 @t171)) @t430))) % 37.18/37.40 (assume @p406 (forall @t438 (or @t437 (tptp.c_in (tptp.c_Pair @t436 @t3 @t1 @t1) @t110 @t171)))) % 37.18/37.40 (assume @p407 (forall @t405 (or @t404 @t420))) % 37.18/37.40 (assume @p408 (forall @t403 (or @t419 @t402 @t112))) % 37.18/37.40 (assume @p409 (forall @t418 (or @t510 (not @t509) @t414))) % 37.18/37.40 (assume @p410 (forall (@list @t20 @t29 @t24 @t60 @t1 @t3) (or @t509 (not @t510) @t414))) % 37.18/37.40 (assume @p411 (forall @t488 (or @t487 (tptp.c_in @t485 @t20 @t1) @t85))) % 37.18/37.40 (assume @p412 (forall (@list @t110 @t60 @t1 @t24 @t29 @t20) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t110 @t60 @t1 @t24) @t29 @t31) @t497))) % 37.18/37.40 (assume @p413 (forall @t223 (or (tptp.c_lessequals @t375 @t204 @t172) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t375 @t204 @t172) @t110 @t1 @t1 @t1) @t204 @t172)) (not (tptp.c_lessequals @t373 @t204 @t172))))) % 37.18/37.40 (assume @p414 (forall (@list @t90 @t20 @t1 @t93 @t110) (or @t269 @t122 @t495 @t377))) % 37.18/37.40 (assume @p415 (forall @t390 (or (tptp.c_lessequals @t110 @t511 @t172) @t229))) % 37.18/37.40 (assume @p416 (forall @t516 (or (tptp.c_in (tptp.c_Pair @t3 @t515 @t1 @t1) @t14 @t171) @t514))) % 37.18/37.40 (assume @p417 (forall @t518 (or (tptp.c_in (tptp.c_Pair @t517 @t5 @t1 @t1) @t14 @t171) @t514))) % 37.18/37.40 (assume @p418 (forall @t114 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t110 @t110 @t1 @t1 @t1) @t110 @t172) @t244))) % 37.18/37.40 (assume @p419 (forall (@list @t483 @t204 @t1 @t110) (or (tptp.c_in @t483 (tptp.c_Transitive__Closure_Otrancl @t204 @t1) @t171) @t397 (not @t519)))) % 37.18/37.40 (assume @p420 (forall (@list @t51 @t3 @t29 @t1 @t20 @t24) (or (tptp.c_in @t408 @t29 @t1) @t520 (not (tptp.c_lessequals @t59 @t29 @t16))))) % 37.18/37.40 (assume @p421 (forall @t101 (or (not (tptp.class_Orderings_Olinorder @t1)) @t82 @t78))) % 37.18/37.40 (assume @p422 (forall (@list @t392 @t522 @t1 @t24 @t110 @t20) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t392 @t522 @t1 @t24) @t523 @t31) (not (tptp.c_lessequals @t522 @t20 @t16)) @t521))) % 37.18/37.40 (assume @p423 (forall @t524 (or (not (tptp.c_lessequals @t3 @t20 @t31)) (tptp.c_lessequals (tptp.c_Set_Oimage @t51 @t3 @t24 @t1) @t59 @t16)))) % 37.18/37.40 (assume @p424 (forall (@list @t51 @t20 @t1 @t24 @t29) (or (tptp.c_lessequals @t407 (tptp.c_Set_Oimage @t51 @t29 @t1 @t24) @t31) @t74))) % 37.18/37.40 (assume @p425 (forall @t526 (or (tptp.c_lessequals @t199 (tptp.c_Relation_ODomain @t204 @t1 @t24) @t16) @t525))) % 37.18/37.40 (assume @p426 (forall @t526 (or @t527 (not (tptp.c_Relation_Osingle__valued @t204 @t1 @t24)) @t525))) % 37.18/37.40 (assume @p427 (forall @t530 (or @t529 @t528 @t355))) % 37.18/37.40 (assume @p428 (forall @t223 (or @t447 (not (tptp.c_Relation_Oantisym @t204 @t1)) @t397))) % 37.18/37.40 (assume @p429 (forall @t23 (or @t532 @t531))) % 37.18/37.40 (assume @p430 (forall @t23 (or @t533 @t531))) % 37.18/37.40 (assume @p431 (forall (@list @t483 @t1 @t110) (or (tptp.c_Wellfounded_Owf @t483 @t1) (not (tptp.c_lessequals @t483 @t110 @t172)) @t112))) % 37.18/37.40 (assume @p432 (forall @t530 (or @t529 @t355 @t528))) % 37.18/37.40 (assume @p433 (forall @t248 (or @t84 @t87 @t74))) % 37.18/37.40 (assume @p434 (forall @t21 (tptp.c_lessequals @t20 @t20 @t16))) % 37.18/37.40 (assume @p435 (forall @t344 (tptp.c_lessequals @t3 @t3 @t16))) % 37.18/37.40 (assume @p436 (forall @t299 (or @t532 @t103 @t106 @t79))) % 37.18/37.40 (assume @p437 (forall (@list @t1 @t2 @t3 @t5) (or @t533 @t102 (not (tptp.c_lessequals @t2 @t5 @t1)) @t83))) % 37.18/37.40 (assume @p438 (forall @t223 (or @t535 (not (tptp.c_lessequals @t110 @t534 @t172))))) % 37.18/37.40 (assume @p439 (forall @t57 (or @t533 @t251 @t79 @t83))) % 37.18/37.40 (assume @p440 (forall @t57 (or @t533 @t251 @t83 @t79))) % 37.18/37.40 (assume @p441 (forall @t42 (or @t253 @t77 @t74))) % 37.18/37.40 (assume @p442 (forall @t223 (or @t535 @t397))) % 37.18/37.40 (assume @p443 (forall (@list @t392 @t536 @t1 @t24 @t282 @t110 @t204) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t392 @t536 @t1 @t24 @t282) @t501 @t285) (not (tptp.c_lessequals @t536 @t204 @t499)) @t521))) % 37.18/37.40 (assume @p444 (forall (@list @t25 @t1 @t14) (or (= @t175 @t176) (not (tptp.c_lessequals @t25 @t176 @t172)) (not (tptp.c_lessequals @t14 @t25 @t172))))) % 37.18/37.40 (assume @p445 (forall (@list @t537 @t1 @t538) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t537 @t1) (tptp.c_Wellfounded_Oacc @t538 @t1) @t16) (not (tptp.c_lessequals @t538 @t537 @t172))))) % 37.18/37.40 (assume @p446 (forall (@list @t24 @t51 @t3 @t318 @t1) (or (not (tptp.class_HOL_Oord @t24)) (tptp.c_lessequals @t408 (tptp.hAPP @t318 @t3) @t24) (not (tptp.c_lessequals @t51 @t318 (tptp.tc_fun @t1 @t24)))))) % 37.18/37.40 (assume @p447 (forall (@list @t539 @t29 @t1 @t20) (or (tptp.c_in @t539 @t29 @t1) (not (tptp.c_in @t539 @t20 @t1)) @t74))) % 37.18/37.40 (assume @p448 (forall @t132 (or @t131 @t74 @t156))) % 37.18/37.40 (assume @p449 (forall @t348 (or @t336 @t335 @t74))) % 37.18/37.40 (assume @p450 (forall @t132 (or @t131 @t156 @t74))) % 37.18/37.40 (assume @p451 (forall (@list @t93 @t110 @t1 @t24) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t93 @t110 @t1 @t24) @t93 @t24 @t1) @t110 @t27) (not (tptp.c_in @t93 @t312 @t1))))) % 37.18/37.40 (assume @p452 (forall @t518 (or (tptp.c_in (tptp.c_Pair @t515 @t5 @t1 @t1) @t176 @t171) @t514))) % 37.18/37.40 (assume @p453 (forall @t516 (or (tptp.c_in (tptp.c_Pair @t3 @t517 @t1 @t1) @t176 @t171) @t514))) % 37.18/37.40 (assume @p454 (forall @t114 (or (tptp.c_lessequals @t511 @t110 @t172) @t244 @t203))) % 37.18/37.40 (assume @p455 (forall @t543 (or @t542 @t430 @t541))) % 37.18/37.40 (assume @p456 (forall @t547 (or @t345 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t546 tptp.t_a tptp.t_a) @t110 @t451)) @t545))) % 37.18/37.40 (assume @p457 (forall @t549 (or (tptp.c_in @t483 @t375 @t171) @t548))) % 37.18/37.40 (assume @p458 (forall @t549 (or @t519 @t548))) % 37.18/37.40 (assume @p459 (forall @t554 (or @t553 @t551 @t372))) % 37.18/37.40 (assume @p460 (forall @t554 (or @t553 @t555 @t377))) % 37.18/37.40 (assume @p461 (forall @t557 (or @t556 @t514 @t251))) % 37.18/37.40 (assume @p462 (forall @t557 (or @t513 @t251 @t558))) % 37.18/37.40 (assume @p463 (forall (@list @t90 @t93 @t1 @t14) (or (tptp.c_in @t358 @t512 @t171) @t122 (not (tptp.c_in @t358 @t176 @t171))))) % 37.18/37.40 (assume @p464 (forall @t405 (or @t561 (not @t559)))) % 37.18/37.40 (assume @p465 (forall @t403 (or @t559 (not @t561)))) % 37.18/37.40 (assume @p466 (forall (@list @t2 @t5 @t1 @t110 @t3) (or (tptp.c_in (tptp.c_Pair @t2 @t5 @t1 @t1) @t375 @t171) (tptp.c_in @t562 @t375 @t171) (not (tptp.c_in @t468 @t375 @t171)) @t404 (not (tptp.c_Relation_Osingle__valued @t110 @t1 @t1))))) % 37.18/37.40 (assume @p467 (forall @t563 (or @t376 @t478))) % 37.18/37.40 (assume @p468 (forall @t554 (or @t553 @t551 @t478))) % 37.18/37.40 (assume @p469 (forall @t564 (or @t469 (not (tptp.c_in @t562 @t443 @t171)) @t404))) % 37.18/37.40 (assume @p470 (forall @t405 (or @t568 (not @t566)))) % 37.18/37.40 (assume @p471 (forall @t405 (or @t566 (not @t568)))) % 37.18/37.40 (assume @p472 (forall (@list @t51 @t24 @t282 @t1 @t90 @t93) (= (tptp.hAPP (tptp.c_split @t51 @t24 @t282 @t1) @t570) @t569))) % 37.18/37.40 (assume @p473 (forall (@list @t51 @t1 @t24 @t282 @t90 @t93) (= (tptp.hAPP @t571 @t200) @t569))) % 37.18/37.40 (assume @p474 (forall (@list @t14 @t90 @t93 @t127 @t1 @t24 @t282) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t14 @t90) @t93) @t127)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t14 @t1 @t24 @t500) @t200) @t127)))))) % 37.18/37.40 (assume @p475 (forall @t409 (or (tptp.c_in @t408 @t407 @t24) @t156))) % 37.18/37.40 (assume @p476 (forall (@list @t51 @t3 @t20 @t24 @t1) (or @t572 @t520))) % 37.18/37.40 (assume @p477 (forall @t524 (or @t520 @t572))) % 37.18/37.40 (assume @p478 (forall (@list @t3 @t20 @t573 @t51 @t1) (or (not (tptp.c_in @t3 @t20 @t573)) (tptp.c_in @t408 (tptp.c_Set_Oimage @t51 @t20 @t573 @t1) @t1)))) % 37.18/37.40 (assume @p479 (forall @t438 (or @t437 @t112))) % 37.18/37.40 (assume @p480 (forall @t21 (tptp.c_Relation_Osingle__valued @t445 @t1 @t1))) % 37.18/37.40 (assume @p481 (forall @t114 (or (tptp.c_Relation_Osym @t443 @t1) @t203))) % 37.18/37.40 (assume @p482 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t35 @t574))) @t430))) % 37.18/37.40 (assume @p483 (forall @t114 (or (= @t443 @t110) @t244))) % 37.18/37.40 (assume @p484 (forall @t576 (or @t345 (not (tptp.hBOOL (tptp.hAPP @t35 @t575))) @t545))) % 37.18/37.40 (assume @p485 (forall @t114 (or @t202 (not @t577)))) % 37.18/37.40 (assume @p486 (forall @t114 (or @t577 @t203))) % 37.18/37.40 (assume @p487 (forall @t114 (= (tptp.c_Relation_ODomain @t443 @t1 @t1) @t222))) % 37.18/37.40 (assume @p488 (forall @t425 (or (tptp.c_in @t578 @t20 @t24) @t423))) % 37.18/37.40 (assume @p489 (forall @t198 (tptp.c_Relation_Osym @t373 @t1))) % 37.18/37.40 (assume @p490 (forall @t21 (tptp.c_Relation_Otrans @t445 @t1))) % 37.18/37.40 (assume @p491 (forall (@list @t1 @t14 @t24) (= (tptp.c_Relation_Orel__comp @t373 @t14 @t1 @t1 @t24) @t14))) % 37.18/37.40 (assume @p492 (forall @t195 (= (tptp.c_Relation_Orel__comp @t14 (tptp.c_Relation_OId @t24) @t1 @t24 @t24) @t14))) % 37.18/37.40 (assume @p493 (forall @t21 (tptp.c_Relation_Oantisym @t445 @t1))) % 37.18/37.40 (assume @p494 (forall @t114 (or (tptp.c_Wellfounded_Owf @t567 @t1) (not (tptp.c_Wellfounded_Owf @t254 @t1))))) % 37.18/37.40 (assume @p495 (forall @t276 (or @t228 (not @t579)))) % 37.18/37.40 (assume @p496 (forall @t276 (or @t579 @t229))) % 37.18/37.40 (assume @p497 (forall @t114 (or (tptp.c_Relation_Osym @t375 @t1) @t203))) % 37.18/37.40 (assume @p498 (forall @t19 (or @t580 @t34))) % 37.18/37.40 (assume @p499 (forall @t19 (or @t15 (not @t580)))) % 37.18/37.40 (assume @p500 (forall @t192 (= (tptp.c_Relation_OImage @t373 @t20 @t1 @t1) @t20))) % 37.18/37.40 (assume @p501 (forall @t198 (tptp.c_Relation_Osingle__valued @t373 @t1 @t1))) % 37.18/37.40 (assume @p502 (forall @t21 (= (tptp.c_Relation_ODomain @t445 @t1 @t1) @t20))) % 37.18/37.40 (assume @p503 (forall @t114 (or @t581 @t203))) % 37.18/37.40 (assume @p504 (forall @t114 (or (not @t581) @t202))) % 37.18/37.40 (assume @p505 (forall @t114 (= (tptp.c_Relation_ORange @t443 @t1 @t1) (tptp.c_Relation_ORange @t110 @t1 @t1)))) % 37.18/37.40 (assume @p506 (forall @t114 (tptp.c_Relation_Otrans @t443 @t1))) % 37.18/37.40 (assume @p507 (forall (@list @t110 @t204 @t24 @t282 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t110 @t204 @t24 @t282 @t1) @t24 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t204 @t282 @t1) (tptp.c_Relation_Oconverse @t110 @t24 @t282) @t1 @t282 @t24)))) % 37.18/37.40 (assume @p508 (forall @t21 (tptp.c_Relation_Osym @t445 @t1))) % 37.18/37.40 (assume @p509 (forall @t21 (tptp.c_Relation_Orefl__on @t20 @t445 @t1))) % 37.18/37.40 (assume @p510 (forall @t583 (or (tptp.c_Wellfounded_Owf @t582 @t24) @t112))) % 37.18/37.40 (assume @p511 (forall @t114 (= @t584 @t503))) % 37.18/37.40 (assume @p512 (forall @t583 (or (tptp.c_Relation_Osym @t582 @t24) @t203))) % 37.18/37.40 (assume @p513 (forall @t19 (= (tptp.c_Transitive__Closure_Otrancl @t176 @t1) @t176))) % 37.18/37.40 (assume @p514 (forall @t114 (tptp.c_Relation_Otrans @t375 @t1))) % 37.18/37.40 (assume @p515 (forall @t114 (or @t243 (not @t585)))) % 37.18/37.40 (assume @p516 (forall @t114 (or @t585 @t244))) % 37.18/37.40 (assume @p517 (forall @t198 (= (tptp.c_Relation_Oconverse @t373 @t1 @t1) @t373))) % 37.18/37.40 (assume @p518 (forall @t114 (or (tptp.c_Wellfounded_Owf @t443 @t1) @t112))) % 37.18/37.40 (assume @p519 (forall (@list @t14 @t25 @t1 @t586 @t282 @t283 @t24) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t14 @t25 @t1 @t586 @t282) @t283 @t1 @t282 @t24) (tptp.c_Relation_Orel__comp @t14 (tptp.c_Relation_Orel__comp @t25 @t283 @t586 @t282 @t24) @t1 @t586 @t24)))) % 37.18/37.40 (assume @p520 (forall (@list @t14 @t51 @t24 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t14 @t51 @t24 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t14 @t24 @t24) @t51 @t24 @t1)))) % 37.18/37.40 (assume @p521 (forall @t114 (= @t565 @t567))) % 37.18/37.40 (assume @p522 (forall @t583 (or (tptp.c_Relation_Otrans @t582 @t24) @t244))) % 37.18/37.40 (assume @p523 (forall @t21 (= (tptp.c_Relation_Oconverse @t445 @t1 @t1) @t445))) % 37.18/37.40 (assume @p524 (forall @t114 (or (not @t587) (tptp.c_Equiv__Relations_Oequiv @t222 @t110 @t1)))) % 37.18/37.40 (assume @p525 (forall @t198 (tptp.c_Relation_Oantisym @t373 @t1))) % 37.18/37.40 (assume @p526 (forall @t589 (= (tptp.c_Relation_ORange @t588 @t24 @t1) @t199))) % 37.18/37.40 (assume @p527 (forall (@list @t40 @t110 @t1 @t43) (or (tptp.c_in @t591 @t40 @t1) @t590 @t112))) % 37.18/37.40 (assume @p528 (forall @t21 (= (tptp.c_Relation_ORange @t445 @t1 @t1) @t20))) % 37.18/37.40 (assume @p529 (forall (@list @t110 @t204 @t1 @t24 @t282) (or (tptp.c_Relation_Osingle__valued @t501 @t1 @t282) (not (tptp.c_Relation_Osingle__valued @t204 @t24 @t282)) @t592))) % 37.18/37.40 (assume @p530 (forall @t589 (= (tptp.c_Relation_Oconverse @t588 @t24 @t1) @t110))) % 37.18/37.40 (assume @p531 (forall @t198 (tptp.c_Relation_Otrans @t373 @t1))) % 37.18/37.40 (assume @p532 (forall @t390 (or @t587 @t356))) % 37.18/37.40 (assume @p533 (forall @t19 (= (tptp.c_Relation_Orel__comp @t176 @t176 @t1 @t1 @t1) @t176))) % 37.18/37.40 (assume @p534 (forall @t114 (or @t447 (not @t593)))) % 37.18/37.40 (assume @p535 (forall @t114 (or @t593 @t448))) % 37.18/37.40 (assume @p536 (forall @t576 (or @t345 (not (tptp.hBOOL (tptp.hAPP @t35 @t546))) @t545))) % 37.18/37.40 (assume @p537 (forall @t276 (or @t228 @t356))) % 37.18/37.40 (assume @p538 (forall @t114 (= @t560 (tptp.c_Relation_Oconverse @t375 @t1 @t1)))) % 37.18/37.40 (assume @p539 (forall @t390 (or @t202 @t356))) % 37.18/37.40 (assume @p540 (forall (@list @t595 @t51 @t90 @t24 @t282 @t20 @t1 @t594) (or (tptp.c_Equiv__Relations_Ocongruent @t595 @t384 @t24 @t282) @t340 @t596 (not (tptp.c_Equiv__Relations_Oequiv @t20 @t594 @t1))))) % 37.18/37.40 (assume @p541 (forall @t598 (= @t597 @t312))) % 37.18/37.40 (assume @p542 (forall @t114 (= @t443 @t503))) % 37.18/37.40 (assume @p543 (forall @t114 (= @t443 @t584))) % 37.18/37.40 (assume @p544 (forall @t598 (= @t312 @t597))) % 37.18/37.40 (assume @p545 (forall @t276 (or @t275 (not @t599)))) % 37.18/37.40 (assume @p546 (forall @t276 (or @t599 @t450))) % 37.18/37.40 (assume @p547 (forall @t390 (or @t243 @t356))) % 37.18/37.40 (assume @p548 (forall @t167 (or @t166 (tptp.c_in @t574 @t428 @t1) @t430))) % 37.18/37.40 (assume @p549 (forall @t19 (= (tptp.c_Transitive__Closure_Ortrancl @t512 @t1) @t176))) % 37.18/37.40 (assume @p550 (forall @t114 (= (tptp.c_Transitive__Closure_Ortrancl @t375 @t1) @t375))) % 37.18/37.40 (assume @p551 (forall @t543 (or @t542 @t541 @t430))) % 37.18/37.40 (assume @p552 (forall @t602 (or @t345 @t601 (not (tptp.c_in (tptp.c_Pair @t600 @t575 tptp.t_a tptp.t_a) @t110 @t451)) @t545))) % 37.18/37.40 (assume @p553 (forall (@list @t3 @t14 @t1) (or @t604 @t603))) % 37.18/37.40 (assume @p554 (forall @t547 (or @t345 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t575 tptp.t_a tptp.t_a) @t110 @t451)) @t545))) % 37.18/37.40 (assume @p555 (forall (@list @t51 @t90 @t93 @t1 @t24 @t282 @t20) (or (tptp.c_in @t569 (tptp.c_Set_Oimage @t571 @t20 @t133 @t282) @t282) (not (tptp.c_in @t200 @t20 @t133))))) % 37.18/37.40 (assume @p556 (forall @t607 (or (tptp.c_in (tptp.c_Pair @t90 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t90 @t110 @t1 @t24) @t1 @t24) @t110 @t133) @t606))) % 37.18/37.40 (assume @p557 (forall @t602 (or @t345 @t601 (not (tptp.c_in (tptp.c_Pair @t600 @t546 tptp.t_a tptp.t_a) @t110 @t451)) @t545))) % 37.18/37.40 (assume @p558 (forall @t461 (or @t166 @t460 (not (tptp.c_in (tptp.c_Pair @t5 @t574 @t1 @t1) @t110 @t171)) @t430))) % 37.18/37.40 (assume @p559 (forall (@list @t5 @t40 @t1 @t110 @t43) (or @t508 (not (tptp.c_in (tptp.c_Pair @t5 @t591 @t1 @t1) @t110 @t171)) @t590 @t112))) % 37.18/37.40 (assume @p560 (forall @t607 (or (tptp.c_in (tptp.c_Pair @t90 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t90 @t110 @t1 @t24) @t1 @t24) @t110 @t133) @t606))) % 37.18/37.40 (assume @p561 (forall @t425 (or (tptp.c_in (tptp.c_Pair @t578 @t93 @t24 @t1) @t110 @t27) @t423))) % 37.18/37.40 (assume @p562 (forall @t557 (or @t251 @t558 @t604))) % 37.18/37.40 (assume @p563 (forall @t607 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t90 @t110 @t1 @t24) @t90 @t24 @t1) @t110 @t27) (not @t608)))) % 37.18/37.40 (assume @p564 (forall (@list @t2 @t127 @t24 @t282 @t1 @t90 @t93) (or (tptp.c_in @t2 (tptp.hAPP (tptp.c_split @t127 @t24 @t282 @t16) @t570) @t1) (not (tptp.c_in @t2 (tptp.hAPP (tptp.hAPP @t127 @t90) @t93) @t1))))) % 37.18/37.40 (assume @p565 (forall (@list @t51 @t610 @t613 @t609 @t612 @t24 @t595 @t1 @t594 @t282) (or (= (tptp.hAPP (tptp.hAPP @t51 @t610) @t613) (tptp.hAPP (tptp.hAPP @t51 @t609) @t612)) (not (tptp.c_in (tptp.c_Pair @t613 @t612 @t24 @t24) @t595 @t611)) (not (tptp.c_in (tptp.c_Pair @t610 @t609 @t1 @t1) @t594 @t171)) @t596))) % 37.18/37.40 (assume @p566 (forall (@list @t5 @t2 @t3 @t1 @t24 @t110) (or @t615 (not (tptp.c_in (tptp.c_Pair @t3 @t2 @t1 @t24) @t110 @t133)) (not (tptp.c_in @t614 @t110 @t133)) @t592))) % 37.18/37.40 (assume @p567 (forall (@list @t51 @t14 @t90 @t1 @t24 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t51 @t14 @t90 @t1 @t24) @t3) @t408) (not (tptp.c_in @t616 @t14 @t171))))) % 37.18/37.40 (assume @p568 (forall (@list @t51 @t110 @t90 @t1 @t24 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t51 @t110 @t90 @t1 @t24) @t3) @t408) @t617))) % 37.18/37.40 (assume @p569 (forall (@list @t14 @t3 @t5 @t1 @t24) (or @t619 (not @t618)))) % 37.18/37.40 (assume @p570 (forall (@list @t3 @t5 @t1 @t24 @t14) (or @t618 (not @t619)))) % 37.18/37.40 (assume @p571 (forall @t564 (or @t471 @t620 @t371 @t244))) % 37.18/37.40 (assume @p572 (forall @t554 (or (tptp.c_in @t552 @t110 @t171) @t555 @t372 @t244))) % 37.18/37.40 (assume @p573 (forall @t201 (or @t623 (not @t622)))) % 37.18/37.40 (assume @p574 (forall @t625 (or (tptp.c_in @t621 @t588 @t27) @t624))) % 37.18/37.40 (assume @p575 (forall @t625 (or @t622 (not @t623)))) % 37.18/37.40 (assume @p576 (forall @t467 (or @t466 @t507))) % 37.18/37.40 (assume @p577 (forall @t554 (or @t553 @t555 @t478))) % 37.18/37.40 (assume @p578 (forall @t554 (or @t553 @t626 @t372))) % 37.18/37.40 (assume @p579 (forall @t554 (or @t627 @t555 @t377))) % 37.18/37.40 (assume @p580 (forall @t554 (or @t627 @t551 @t372))) % 37.18/37.40 (assume @p581 (forall @t563 (or @t477 @t372))) % 37.18/37.40 (assume @p582 (forall @t554 (or @t627 @t551 @t377))) % 37.18/37.40 (assume @p583 (forall @t629 (tptp.c_in @t628 @t375 @t171))) % 37.18/37.40 (assume @p584 (forall (@list @t3 @t1 @t14) @t603)) % 37.18/37.40 (assume @p585 (forall (@list @t3 @t90 @t1 @t110) (or @t617 (not (tptp.c_in (tptp.c_Pair @t90 @t3 @t1 @t1) @t110 @t171)) @t112))) % 37.18/37.40 (assume @p586 (forall @t405 (or @t251 @t631 @t371 @t448))) % 37.18/37.40 (assume @p587 (forall @t563 (or @t122 (not @t632) @t372 @t448))) % 37.18/37.40 (assume @p588 (forall (@list @t51 @t5 @t2 @t1 @t110 @t24) (or (= @t633 (tptp.hAPP @t51 @t2)) @t620 (not (tptp.c_Equiv__Relations_Ocongruent @t110 @t51 @t1 @t24))))) % 37.18/37.40 (assume @p589 (forall (@list @t3 @t5 @t1 @t20) (or @t251 @t634))) % 37.18/37.40 (assume @p590 (forall (@list @t51 @t110 @t3 @t1 @t24 @t318 @t5) (or (not @t319) (= @t633 (tptp.hAPP @t318 @t5)) @t631))) % 37.18/37.40 (assume @p591 (forall (@list @t90 @t93 @t1) (or @t122 (not (tptp.c_in @t358 @t373 @t171))))) % 37.18/37.40 (assume @p592 (forall @t467 (or @t465 (not @t506)))) % 37.18/37.40 (assume @p593 (forall @t629 (or (not @t635) @t112))) % 37.18/37.40 (assume @p594 (forall (@list @t3 @t5 @t1 @t110 @t51 @t24) (or @t637 (not @t636)))) % 37.18/37.40 (assume @p595 (forall (@list @t51 @t3 @t5 @t24 @t110 @t1) (or @t636 (not @t637)))) % 37.18/37.40 (assume @p596 (forall @t403 (or @t630 @t371 @t203))) % 37.18/37.40 (assume @p597 (forall (@list @t93 @t90 @t1 @t110) (or @t632 @t372 @t203))) % 37.18/37.40 (assume @p598 (forall (@list @t90 @t127 @t1 @t282 @t110 @t204 @t24 @t93) (or (tptp.c_in (tptp.c_Pair @t90 @t127 @t1 @t282) @t501 @t284) (not (tptp.c_in (tptp.c_Pair @t93 @t127 @t24 @t282) @t204 @t498)) @t624))) % 37.18/37.40 (assume @p599 (forall (@list @t90 @t127 @t1 @t14 @t93) (or (tptp.c_in @t552 @t512 @t171) (not (tptp.c_in @t550 @t14 @t171)) (not (tptp.c_in @t358 @t14 @t171))))) % 37.18/37.40 (assume @p600 (forall @t554 (or @t553 @t626 @t478))) % 37.18/37.40 (assume @p601 (forall @t344 (tptp.c_in @t464 @t373 @t171))) % 37.18/37.40 (assume @p602 (forall @t347 (tptp.c_in @t628 @t373 @t171))) % 37.18/37.40 (assume @p603 (forall @t645 (or @t644 @t643 @t251 @t638))) % 37.18/37.40 (assume @p604 (forall @t645 (or @t644 @t643 @t615 @t638))) % 37.18/37.40 (assume @p605 (forall @t648 (not (tptp.c_in @t647 @t646 @t639)))) % 37.18/37.40 (assume @p606 (forall @t649 (not (tptp.c_in @t641 @t646 @t639)))) % 37.18/37.40 (assume @p607 (forall @t645 (or @t642 @t615 (not @t644)))) % 37.18/37.40 (assume @p608 (forall @t649 (or @t251 @t197 (tptp.c_in @t641 @t650 @t639)))) % 37.18/37.40 (assume @p609 (forall @t648 (not (tptp.c_in @t647 @t650 @t639)))) % 37.18/37.40 (assume @p610 (forall @t652 (not (tptp.c_in @t651 @t650 @t639)))) % 37.18/37.40 (assume @p611 (forall @t645 (or @t653 @t643 @t251 @t615))) % 37.18/37.40 (assume @p612 (forall @t645 (or @t653 @t643 @t638 @t615))) % 37.18/37.40 (assume @p613 (forall @t652 (or @t654 @t654 (tptp.c_in @t651 @t646 @t639)))) % 37.18/37.40 (assume @p614 (forall @t645 (or @t642 @t638 (not @t653)))) % 37.18/37.40 (assume @p615 (forall (@list @t90 @t93) (or (tptp.c_in @t655 (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t90 @t93) @t639) @t122))) % 37.18/37.40 (assume @p616 (forall (@list @t90 @t93 @t1 @t24 @t20 @t29) (or @t657 (not @t656) @t340))) % 37.18/37.40 (assume @p617 (forall (@list @t90 @t110 @t1 @t93) (or @t429 @t372 (not @t542)))) % 37.18/37.40 (assume @p618 (forall (@list @t5 @t110 @t1 @t90) (or (tptp.c_in @t5 @t428 @t1) (not (tptp.c_in (tptp.c_Pair @t5 @t90 @t1 @t1) @t110 @t171)) @t430))) % 37.18/37.40 (assume @p619 (forall (@list @t93 @t110 @t20 @t1 @t24 @t90) (or (tptp.c_in @t93 @t523 @t24) @t624 @t340))) % 37.18/37.40 (assume @p620 (forall (@list @t93 @t110 @t20 @t24 @t1 @t3) (or @t422 (not (tptp.c_in (tptp.c_Pair @t3 @t93 @t24 @t1) @t110 @t27)) @t520))) % 37.18/37.40 (assume @p621 (forall (@list @t3 @t20 @t1 @t5) (or @t143 @t634))) % 37.18/37.40 (assume @p622 (forall (@list @t3 @t1 @t20) (or (tptp.c_in @t464 @t445 @t171) @t156))) % 37.18/37.40 (assume @p623 (forall @t658 (or @t364 @t371 @t356))) % 37.18/37.40 (assume @p624 (forall @t659 (or @t143 @t371 @t356))) % 37.18/37.40 (assume @p625 (forall (@list @t90 @t110 @t24 @t1 @t3) (or @t608 (not (tptp.c_in (tptp.c_Pair @t3 @t90 @t24 @t1) @t110 @t27))))) % 37.18/37.40 (assume @p626 (forall (@list @t93 @t110 @t1 @t24 @t90) (or (tptp.c_in @t93 (tptp.c_Relation_ORange @t110 @t1 @t24) @t24) @t624))) % 37.18/37.40 (assume @p627 (forall (@list @t90 @t110 @t1 @t24 @t3) (or @t605 (not (tptp.c_in (tptp.c_Pair @t90 @t3 @t1 @t24) @t110 @t133))))) % 37.18/37.40 (assume @p628 (forall (@list @t90 @t110 @t1 @t24 @t93) (or @t605 @t624))) % 37.18/37.40 (assume @p629 (forall (@list @t93 @t29 @t90 @t24 @t1 @t20) (or @t656 @t660))) % 37.18/37.40 (assume @p630 (forall (@list @t90 @t20 @t1 @t93 @t24 @t29) (or @t269 @t660))) % 37.18/37.40 (assume @p631 (forall (@list @t43 @t3 @t1 @t110 @t20) (or (tptp.c_in (tptp.c_Pair @t43 @t3 @t1 @t1) @t110 @t171) (tptp.c_in (tptp.c_Pair @t3 @t43 @t1 @t1) @t110 @t171) (= @t3 @t43) (not (tptp.c_in @t43 @t20 @t1)) @t156 @t450))) % 37.18/37.40 (assume @p632 (forall (@list @t3 @t1 @t110 @t20) (or @t465 @t156 @t229))) % 37.18/37.40 (assume @p633 (forall @t658 (or @t364 @t371 @t229))) % 37.18/37.40 (assume @p634 (forall @t659 (or @t143 @t371 @t229))) % 37.18/37.40 (assume @p635 (forall (@list @t90 @t1 @t110 @t20) (or @t635 @t340 @t229))) % 37.18/37.40 (assume @p636 (not (= tptp.v_a____ tptp.v_b____))) % 37.18/37.40 (assume @p637 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 37.18/37.40 (assume @p638 (forall @t664 (or @t663 (= @t93 @t661)))) % 37.18/37.40 (assume @p639 (forall @t664 (or @t663 (= @t90 @t662)))) % 37.18/37.40 (assume @p640 @t674) % 37.18/37.40 (assume @p641 @t677) % 37.18/37.40 (assume @p642 (or @t683 @t682 @t679 @t678)) % 37.18/37.40 (assume @p643 (or @t681 @t684 @t679 @t678)) % 37.18/37.40 (assume @p644 (forall (@list @t3 @t25 @t1) (or @t686 (not @t685)))) % 37.18/37.40 (assume @p645 (forall (@list @t25 @t3 @t1) (or @t685 (not @t686)))) % 37.18/37.40 (assume @p646 (or @t687 @t678 @t683 @t682)) % 37.18/37.40 (assume @p647 (or @t687 @t678 @t681 @t684)) % 37.18/37.40 (assume @p648 (or @t688 @t683 @t682 @t679)) % 37.18/37.40 (assume @p649 (or @t688 @t681 @t684 @t679)) % 37.18/37.40 (assume @p650 @t690) % 37.18/37.40 (assume @p651 @t691) % 37.18/37.40 (assume @p652 (forall @t704 (or @t703 @t702 @t700 @t697 @t694 @t692 @t122))) % 37.18/37.40 (assume @p653 (forall @t706 (or @t701 @t705 @t700 @t697 @t694 @t692 @t122))) % 37.18/37.40 (assume @p654 @t707) % 37.18/37.40 (assume @p655 (forall @t706 (or @t701 @t705 @t699 @t696 @t694 @t692 @t122))) % 37.18/37.40 (assume @p656 @t679) % 37.18/37.40 (assume @p657 @t678) % 37.18/37.40 (assume @p658 @t708) % 37.18/37.40 (assume @p659 @t709) % 37.18/37.40 (assume @p660 (forall @t714 (or (tptp.class_Lattices_Oupper__semilattice @t713) @t711))) % 37.18/37.40 (assume @p661 (forall @t714 (or (tptp.class_Lattices_Olower__semilattice @t713) @t711))) % 37.18/37.40 (assume @p662 (forall @t714 (or (tptp.class_Lattices_Odistrib__lattice @t713) (not (tptp.class_Lattices_Odistrib__lattice @t710))))) % 37.18/37.40 (assume @p663 (forall @t714 (or (tptp.class_Lattices_Obounded__lattice @t713) (not (tptp.class_Lattices_Obounded__lattice @t710))))) % 37.18/37.40 (assume @p664 (forall @t714 (or (tptp.class_Lattices_Oboolean__algebra @t713) (not (tptp.class_Lattices_Oboolean__algebra @t710))))) % 37.18/37.40 (assume @p665 (forall @t714 (or (tptp.class_Orderings_Opreorder @t713) (not (tptp.class_Orderings_Opreorder @t710))))) % 37.18/37.40 (assume @p666 (forall @t714 (or (tptp.class_Lattices_Olattice @t713) @t711))) % 37.18/37.40 (assume @p667 (forall @t714 (or (tptp.class_Orderings_Oorder @t713) (not (tptp.class_Orderings_Oorder @t710))))) % 37.18/37.40 (assume @p668 (forall @t714 (or (tptp.class_Orderings_Obot @t713) (not (tptp.class_Orderings_Obot @t710))))) % 37.18/37.40 (assume @p669 (forall @t714 (or (tptp.class_HOL_Oord @t713) (not (tptp.class_HOL_Oord @t710))))) % 37.18/37.40 (assume @p670 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 37.18/37.40 (assume @p671 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 37.18/37.40 (assume @p672 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 37.18/37.40 (assume @p673 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 37.18/37.40 (assume @p674 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 37.18/37.40 (assume @p675 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 37.18/37.40 (assume @p676 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 37.18/37.40 (assume @p677 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 37.18/37.40 (assume @p678 (tptp.class_Orderings_Obot tptp.tc_bool)) % 37.18/37.40 (assume @p679 (tptp.class_HOL_Oord tptp.tc_bool)) % 37.18/37.40 (assume @p680 (forall @t344 (tptp.c_fequal @t3 @t3 @t1))) % 37.18/37.40 (assume @p681 (forall (@list @t716 @t715 @t1) (or (= @t716 @t715) (not (tptp.c_fequal @t716 @t715 @t1))))) % 37.18/37.40 (step @p682 :rule refl :args (@t639)) % 37.18/37.40 (step @p683 :rule refl :args (@t666)) % 37.18/37.40 (step @p684 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 37.18/37.40 (step @p685 :rule cong :premises (@p657 @p656 @p684 @p684) :args (@t667)) % 37.18/37.40 (step @p686 :rule cong :premises (@p685 @p683 @p682) :args (@t668)) % 37.18/37.40 (step @p687 :rule cong :premises (@p686) :args (@t669)) % 37.18/37.40 (step @p688 :rule refl :args (@t671)) % 37.18/37.40 (step @p689 :rule nary_cong :premises (@p688 @p687) :args (@t672)) % 37.18/37.40 (step @p690 :rule cong :premises (@p689) :args (@t674)) % 37.18/37.40 (step @p691 :rule eq_resolve :premises (@p640 @p690)) % 37.18/37.40 (step @p692 :rule instantiate :premises (@p691) :args (@t718)) % 37.18/37.40 (step @p693 :rule refl :args (@t675)) % 37.18/37.40 (step @p694 :rule nary_cong :premises (@p686 @p693) :args (@t676)) % 37.18/37.40 (step @p695 :rule cong :premises (@p694) :args (@t677)) % 37.18/37.40 (step @p696 :rule eq_resolve :premises (@p641 @p695)) % 37.18/37.40 (step @p697 :rule instantiate :premises (@p696) :args (@t718)) % 37.18/37.40 (step @p698 :rule cnf_or_pos :args (@t723)) % 37.18/37.40 (step @p699 :rule reordering :premises (@p698) :args ((or @t720 @t722 (not @t723)))) % 37.18/37.40 (step @p700 :rule symm :premises (@p637)) % 37.18/37.40 (step @p701 :rule refl :args (@t683)) % 37.18/37.40 (step @p702 :rule refl :args (@t680)) % 37.18/37.40 (step @p703 :rule cong :premises (@p685 @p702 @p682) :args (@t681)) % 37.18/37.40 (step @p704 :rule nary_cong :premises (@p703 @p701) :args (@t709)) % 37.18/37.40 (step @p705 :rule eq_resolve :premises (@p659 @p704)) % 37.18/37.40 (step @p706 :rule reordering :premises (@p705) :args ((or @t683 @t724))) % 37.18/37.40 (step @p707 :rule instantiate :premises (@p655) :args (@t725)) % 37.18/37.40 (step @p708 :rule cnf_or_pos :args (@t730)) % 37.18/37.40 (step @p709 :rule reordering :premises (@p708) :args ((or @t683 @t726 @t729 @t728 @t727 @t719 @t722 (not @t730)))) % 37.18/37.40 (step @p710 :rule cnf_or_pos :args (@t732)) % 37.18/37.40 (step @p711 :rule reordering :premises (@p710) :args ((or @t719 @t731 (not @t732)))) % 37.18/37.40 (step @p712 :rule chain_m_resolution :premises (@p711 @p692 @p709 @p707 @p651 @p650 @p700 @p706) :args ((or @t683 @t719) (@list false false false false false true false) (@list @t732 @t722 @t730 @t691 @t690 @t726 @t724))) % 37.18/37.40 (step @p713 :rule instantiate :premises (@p653) :args (@t725)) % 37.18/37.40 (step @p714 :rule cnf_or_pos :args (@t733)) % 37.18/37.40 (step @p715 :rule reordering :premises (@p714) :args ((or @t683 @t726 @t729 @t728 @t727 @t720 @t731 (not @t733)))) % 37.18/37.40 (step @p716 :rule chain_m_resolution :premises (@p699 @p697 @p715 @p713 @p651 @p650 @p700 @p712 @p706) :args (@t683 @t734 (@list @t723 @t722 @t733 @t691 @t690 @t726 @t719 @t724))) % 37.18/37.40 (step @p717 :rule cong :premises (@p703) :args (@t682)) % 37.18/37.40 (step @p718 :rule refl :args (@t684)) % 37.18/37.40 (step @p719 :rule nary_cong :premises (@p718 @p717) :args (@t708)) % 37.18/37.40 (step @p720 :rule eq_resolve :premises (@p658 @p719)) % 37.18/37.40 (step @p721 :rule chain_m_resolution :premises (@p720 @p716) :args (@t729 (@list false) (@list @t683))) % 37.18/37.40 (step @p722 :rule instantiate :premises (@p652) :args (@t735)) % 37.18/37.40 (step @p723 :rule cnf_or_pos :args (@t736)) % 37.18/37.40 (step @p724 :rule reordering :premises (@p723) :args ((or @t684 @t726 @t724 @t728 @t727 @t720 @t731 (not @t736)))) % 37.18/37.40 (step @p725 :rule chain_m_resolution :premises (@p724 @p722 @p721 @p716 @p651 @p650 @p700 @p699 @p697) :args (@t720 @t734 (@list @t736 @t724 @t683 @t691 @t690 @t726 @t722 @t723))) % 37.18/37.40 (step @p726 :rule chain_m_resolution :premises (@p711 @p725 @p692) :args (@t731 @t737 (@list @t719 @t732))) % 37.18/37.40 (step @p727 :rule cnf_or_pos :args (@t738)) % 37.18/37.40 (step @p728 :rule reordering :premises (@p727) :args ((or @t684 @t726 @t724 @t728 @t727 @t719 @t722 @t739))) % 37.18/37.40 (step @p729 :rule chain_m_resolution :premises (@p728 @p716 @p700 @p721 @p650 @p651 @p725 @p726) :args (@t739 (@list false true true false false true true) (@list @t683 @t726 @t724 @t690 @t691 @t719 @t722))) % 37.18/37.40 (assume-push @p736 @t707) % 37.18/37.40 (step @p731 :rule instantiate :premises (@p654) :args (@t735)) % 37.18/37.40 (step-pop @p737 :rule scope :premises (@p731)) % 37.18/37.40 (step @p732 :rule process_scope :premises (@p737) :args (@t738)) % 37.18/37.40 (step @p734 :rule implies_elim :premises (@p732)) % 37.18/37.40 (step @p735 false :rule chain_m_resolution :premises (@p734 @p729 @p654) :args (false @t737 (@list @t738 @t707))) % 37.18/37.40 ) % 37.18/37.40 % SZS output end Proof % 37.18/37.41 % cvc5 exiting %------------------------------------------------------------------------------