%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT068-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 36.74s 37.00s % Output : Proof 36.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT068-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:22:36 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.03/16.26 --- Run --no-e-matching --full-saturate-quant at 6... % 22.13/22.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 22.18/28.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.24/34.45 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.74/37.00 % SZS status Unsatisfiable % 36.74/37.00 % SZS output start Proof % 36.74/37.02 ( % 36.74/37.02 (declare-sort $$unsorted 0) % 36.74/37.02 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 36.74/37.02 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_P_H____ $$unsorted) % 36.74/37.02 (declare-const tptp.v_P____ $$unsorted) % 36.74/37.02 (declare-const tptp.v_a_H____ $$unsorted) % 36.74/37.02 (declare-const tptp.v_b_H____ $$unsorted) % 36.74/37.02 (declare-const tptp.v_a____ $$unsorted) % 36.74/37.02 (declare-const tptp.v_b____ $$unsorted) % 36.74/37.02 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_r $$unsorted) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.t_a $$unsorted) % 36.74/37.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.t_b $$unsorted) % 36.74/37.02 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 36.74/37.02 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.tc_bool $$unsorted) % 36.74/37.02 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.74/37.02 (define @t1 () (@var "T_a" $$unsorted)) % 36.74/37.02 (define @t2 () (@var "V_x" $$unsorted)) % 36.74/37.02 (define @t3 () (@var "V_z" $$unsorted)) % 36.74/37.02 (define @t4 () (@var "V_y" $$unsorted)) % 36.74/37.02 (define @t5 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t2 @t1)) % 36.74/37.02 (define @t6 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t1)) % 36.74/37.02 (define @t7 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 36.74/37.02 (define @t8 () (@list @t1 @t4 @t3 @t2)) % 36.74/37.02 (define @t9 () (@var "V_R" $$unsorted)) % 36.74/37.02 (define @t10 () (tptp.c_Wellfounded_Owf @t9 @t1)) % 36.74/37.02 (define @t11 () (tptp.tc_fun @t1 tptp.tc_bool)) % 36.74/37.02 (define @t12 () (tptp.c_Orderings_Obot__class_Obot @t11)) % 36.74/37.02 (define @t13 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfI__pf__1__1 @t9 @t1)) % 36.74/37.02 (define @t14 () (@list @t9 @t1)) % 36.74/37.02 (define @t15 () (@var "V_A" $$unsorted)) % 36.74/37.02 (define @t16 () (@list @t15 @t1)) % 36.74/37.02 (define @t17 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 36.74/37.02 (define @t18 () (@list @t1 @t2)) % 36.74/37.02 (define @t19 () (@var "T_b" $$unsorted)) % 36.74/37.02 (define @t20 () (@var "V_S" $$unsorted)) % 36.74/37.02 (define @t21 () (tptp.c_Relation_OImage @t9 @t15 @t19 @t1)) % 36.74/37.02 (define @t22 () (tptp.tc_prod @t19 @t1)) % 36.74/37.02 (define @t23 () (tptp.tc_fun @t22 tptp.tc_bool)) % 36.74/37.02 (define @t24 () (@var "V_B" $$unsorted)) % 36.74/37.02 (define @t25 () (tptp.c_Relation_OImage @t9 @t24 @t19 @t1)) % 36.74/37.02 (define @t26 () (tptp.tc_fun @t19 tptp.tc_bool)) % 36.74/37.02 (define @t27 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t26)) % 36.74/37.02 (define @t28 () (@list @t9 @t15 @t24 @t19 @t1)) % 36.74/37.02 (define @t29 () (not @t10)) % 36.74/37.02 (define @t30 () (@var "V_P" $$unsorted)) % 36.74/37.02 (define @t31 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t30 @t9 @t1)) % 36.74/37.02 (define @t32 () (@var "V_Rb" $$unsorted)) % 36.74/37.02 (define @t33 () (tptp.c_Set_Oinsert @t2 @t15 @t1)) % 36.74/37.02 (define @t34 () (tptp.c_Set_Oinsert @t4 @t15 @t1)) % 36.74/37.02 (define @t35 () (@var "V_Q" $$unsorted)) % 36.74/37.02 (define @t36 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t24 @t11)) % 36.74/37.02 (define @t37 () (@list @t15 @t24 @t1)) % 36.74/37.02 (define @t38 () (@var "V_xa" $$unsorted)) % 36.74/37.02 (define @t39 () (tptp.c_Set_Oinsert @t2 @t12 @t1)) % 36.74/37.02 (define @t40 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 36.74/37.02 (define @t41 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 36.74/37.02 (define @t42 () (@var "V_y_H" $$unsorted)) % 36.74/37.02 (define @t43 () (@var "V_x_H" $$unsorted)) % 36.74/37.02 (define @t44 () (tptp.c_HOL_Ominus__class_Ominus @t43 @t42 @t1)) % 36.74/37.02 (define @t45 () (tptp.c_Orderings_Obot__class_Obot @t26)) % 36.74/37.02 (define @t46 () (@var "V_f" $$unsorted)) % 36.74/37.02 (define @t47 () (tptp.c_Set_Oimage @t46 @t45 @t19 @t1)) % 36.74/37.02 (define @t48 () (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t11)) % 36.74/37.02 (define @t49 () (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t1)) % 36.74/37.02 (define @t50 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t4 @t1)) % 36.74/37.02 (define @t51 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 36.74/37.02 (define @t52 () (@list @t1 @t2 @t4)) % 36.74/37.02 (define @t53 () (tptp.c_Set_Oimage @t46 @t24 @t19 @t1)) % 36.74/37.02 (define @t54 () (tptp.c_Set_Oimage @t46 @t15 @t19 @t1)) % 36.74/37.02 (define @t55 () (@var "V_C" $$unsorted)) % 36.74/37.02 (define @t56 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t55 @t11)) % 36.74/37.02 (define @t57 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t55 @t11)) % 36.74/37.02 (define @t58 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t57 @t11)) % 36.74/37.02 (define @t59 () (@list @t15 @t24 @t55 @t1)) % 36.74/37.02 (define @t60 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t11)) % 36.74/37.02 (define @t61 () (@list @t15 @t24 @t1 @t55)) % 36.74/37.02 (define @t62 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t6 @t1)) % 36.74/37.02 (define @t63 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t4 @t1)) % 36.74/37.02 (define @t64 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t63 @t3 @t1) @t62)) % 36.74/37.02 (define @t65 () (@list @t1 @t2 @t4 @t3)) % 36.74/37.02 (define @t66 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1)) % 36.74/37.02 (define @t67 () (= @t62 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t66 @t1))) % 36.74/37.02 (define @t68 () (not (tptp.class_Lattices_Olattice @t1))) % 36.74/37.02 (define @t69 () (tptp.c_lessequals @t15 @t24 @t11)) % 36.74/37.02 (define @t70 () (not @t69)) % 36.74/37.02 (define @t71 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t24 @t11)) % 36.74/37.02 (define @t72 () (tptp.c_lessequals @t24 @t15 @t11)) % 36.74/37.02 (define @t73 () (not @t72)) % 36.74/37.02 (define @t74 () (tptp.c_lessequals @t2 @t4 @t1)) % 36.74/37.02 (define @t75 () (not @t74)) % 36.74/37.02 (define @t76 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t4 @t1)) % 36.74/37.02 (define @t77 () (= @t76 @t2)) % 36.74/37.02 (define @t78 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 36.74/37.02 (define @t79 () (tptp.c_lessequals @t4 @t2 @t1)) % 36.74/37.02 (define @t80 () (not @t79)) % 36.74/37.02 (define @t81 () (tptp.c_lessequals @t15 @t55 @t11)) % 36.74/37.02 (define @t82 () (not @t81)) % 36.74/37.02 (define @t83 () (tptp.c_lessequals @t24 @t55 @t11)) % 36.74/37.02 (define @t84 () (not @t83)) % 36.74/37.02 (define @t85 () (tptp.c_lessequals @t60 @t55 @t11)) % 36.74/37.02 (define @t86 () (@list @t24 @t15 @t1)) % 36.74/37.02 (define @t87 () (@var "V_a" $$unsorted)) % 36.74/37.02 (define @t88 () (tptp.c_lessequals @t87 @t2 @t1)) % 36.74/37.02 (define @t89 () (not @t88)) % 36.74/37.02 (define @t90 () (@var "V_b" $$unsorted)) % 36.74/37.02 (define @t91 () (tptp.c_lessequals @t90 @t2 @t1)) % 36.74/37.02 (define @t92 () (not @t91)) % 36.74/37.02 (define @t93 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t87 @t90 @t1)) % 36.74/37.02 (define @t94 () (tptp.c_lessequals @t93 @t2 @t1)) % 36.74/37.02 (define @t95 () (@list @t1 @t87 @t90 @t2)) % 36.74/37.02 (define @t96 () (tptp.c_lessequals @t2 @t63 @t1)) % 36.74/37.02 (define @t97 () (tptp.c_lessequals @t4 @t63 @t1)) % 36.74/37.02 (define @t98 () (@list @t1 @t4 @t2)) % 36.74/37.02 (define @t99 () (tptp.c_lessequals @t3 @t2 @t1)) % 36.74/37.02 (define @t100 () (tptp.c_lessequals @t2 @t3 @t1)) % 36.74/37.02 (define @t101 () (not @t100)) % 36.74/37.02 (define @t102 () (tptp.c_lessequals @t4 @t3 @t1)) % 36.74/37.02 (define @t103 () (not @t102)) % 36.74/37.02 (define @t104 () (tptp.c_lessequals @t63 @t3 @t1)) % 36.74/37.02 (define @t105 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t15 @t11)) % 36.74/37.02 (define @t106 () (= @t76 @t5)) % 36.74/37.02 (define @t107 () (@var "V_r" $$unsorted)) % 36.74/37.02 (define @t108 () (tptp.c_Wellfounded_Owf @t107 @t1)) % 36.74/37.02 (define @t109 () (not @t108)) % 36.74/37.02 (define @t110 () (tptp.c_Wellfounded_Oacyclic @t107 @t1)) % 36.74/37.02 (define @t111 () (@list @t107 @t1)) % 36.74/37.02 (define @t112 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t15 @t11)) % 36.74/37.02 (define @t113 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t112 @t11)) % 36.74/37.02 (define @t114 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t6 @t1)) % 36.74/37.02 (define @t115 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1)) % 36.74/37.02 (define @t116 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t115 @t1)) % 36.74/37.02 (define @t117 () (tptp.c_Set_Oinsert @t87 @t15 @t1)) % 36.74/37.02 (define @t118 () (tptp.c_Set_Oinsert @t87 @t12 @t1)) % 36.74/37.02 (define @t119 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t118 @t11)) % 36.74/37.02 (define @t120 () (tptp.c_Set_Oinsert @t87 @t119 @t1)) % 36.74/37.02 (define @t121 () (@list @t87 @t15 @t1)) % 36.74/37.02 (define @t122 () (= @t87 @t90)) % 36.74/37.02 (define @t123 () (tptp.c_Set_Oinsert @t90 @t12 @t1)) % 36.74/37.02 (define @t124 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t15 @t11)) % 36.74/37.02 (define @t125 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t55 @t15 @t11)) % 36.74/37.02 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t55 @t11)) % 36.74/37.02 (define @t127 () (@var "V_c" $$unsorted)) % 36.74/37.02 (define @t128 () (tptp.c_COMBK @t127 @t1 @t19)) % 36.74/37.02 (define @t129 () (tptp.c_lessequals @t33 @t24 @t11)) % 36.74/37.02 (define @t130 () (not @t129)) % 36.74/37.02 (define @t131 () (tptp.c_in @t2 @t24 @t1)) % 36.74/37.02 (define @t132 () (@list @t2 @t24 @t1 @t15)) % 36.74/37.02 (define @t133 () (tptp.tc_prod @t1 @t19)) % 36.74/37.02 (define @t134 () (tptp.tc_fun @t133 tptp.tc_bool)) % 36.74/37.02 (define @t135 () (@var "V_J" $$unsorted)) % 36.74/37.02 (define @t136 () (tptp.c_Product__Type_OSigma @t135 @t55 @t1 @t19)) % 36.74/37.02 (define @t137 () (@var "V_I" $$unsorted)) % 36.74/37.02 (define @t138 () (tptp.c_Product__Type_OSigma @t137 @t55 @t1 @t19)) % 36.74/37.02 (define @t139 () (@list @t137 @t135 @t1 @t55 @t19)) % 36.74/37.02 (define @t140 () (tptp.hBOOL (tptp.hAPP @t15 @t2))) % 36.74/37.02 (define @t141 () (not @t140)) % 36.74/37.02 (define @t142 () (tptp.hBOOL (tptp.hAPP @t34 @t2))) % 36.74/37.02 (define @t143 () (tptp.c_in @t2 @t15 @t1)) % 36.74/37.02 (define @t144 () (tptp.c_Set_Oinsert @t2 @t24 @t1)) % 36.74/37.02 (define @t145 () (tptp.c_lessequals @t15 @t144 @t11)) % 36.74/37.02 (define @t146 () (@list @t15 @t2 @t24 @t1)) % 36.74/37.02 (define @t147 () (not @t145)) % 36.74/37.02 (define @t148 () (@list @t15 @t24 @t1 @t2)) % 36.74/37.02 (define @t149 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t55 @t11)) % 36.74/37.02 (define @t150 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t57 @t11)) % 36.74/37.02 (define @t151 () (@list @t24 @t55 @t1 @t15)) % 36.74/37.02 (define @t152 () (tptp.c_Relation_ODomain @t24 @t1 @t19)) % 36.74/37.02 (define @t153 () (tptp.c_Relation_ODomain @t15 @t1 @t19)) % 36.74/37.02 (define @t154 () (= @t71 @t12)) % 36.74/37.02 (define @t155 () (not @t154)) % 36.74/37.02 (define @t156 () (not @t143)) % 36.74/37.02 (define @t157 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t15 @t39 @t11) @t24 @t11)) % 36.74/37.02 (define @t158 () (not @t157)) % 36.74/37.02 (define @t159 () (not @t131)) % 36.74/37.02 (define @t160 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t24 @t11)) % 36.74/37.02 (define @t161 () (@list @t2 @t15 @t1 @t24)) % 36.74/37.02 (define @t162 () (tptp.c_Set_Oinsert @t90 @t24 @t1)) % 36.74/37.02 (define @t163 () (tptp.c_Relation_ORange @t24 @t19 @t1)) % 36.74/37.02 (define @t164 () (tptp.c_Relation_ORange @t15 @t19 @t1)) % 36.74/37.02 (define @t165 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t30 @t107 @t1)) % 36.74/37.02 (define @t166 () (tptp.hBOOL (tptp.hAPP @t30 @t87))) % 36.74/37.02 (define @t167 () (@list @t30 @t87 @t107 @t1)) % 36.74/37.02 (define @t168 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 36.74/37.02 (define @t169 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 36.74/37.02 (define @t170 () (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t11)) % 36.74/37.02 (define @t171 () (tptp.tc_prod @t1 @t1)) % 36.74/37.02 (define @t172 () (tptp.tc_fun @t171 tptp.tc_bool)) % 36.74/37.02 (define @t173 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t20 @t172)) % 36.74/37.02 (define @t174 () (tptp.c_Transitive__Closure_Ortrancl @t173 @t1)) % 36.74/37.02 (define @t175 () (tptp.c_Transitive__Closure_Ortrancl @t20 @t1)) % 36.74/37.02 (define @t176 () (tptp.c_Transitive__Closure_Ortrancl @t9 @t1)) % 36.74/37.02 (define @t177 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t176 @t175 @t172)) % 36.74/37.02 (define @t178 () (@list @t9 @t1 @t20)) % 36.74/37.02 (define @t179 () (= @t15 @t45)) % 36.74/37.02 (define @t180 () (tptp.c_Set_Oinsert @t87 @t24 @t1)) % 36.74/37.02 (define @t181 () (@list @t87 @t24 @t1 @t55)) % 36.74/37.02 (define @t182 () (@list @t15 @t87 @t24 @t1)) % 36.74/37.02 (define @t183 () (tptp.c_HOL_Ouminus__class_Ouminus @t87 @t1)) % 36.74/37.02 (define @t184 () (tptp.c_HOL_Ouminus__class_Ouminus @t90 @t1)) % 36.74/37.02 (define @t185 () (tptp.c_lessequals @t184 @t183 @t1)) % 36.74/37.02 (define @t186 () (tptp.c_lessequals @t87 @t90 @t1)) % 36.74/37.02 (define @t187 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 36.74/37.02 (define @t188 () (@list @t1 @t87 @t90)) % 36.74/37.02 (define @t189 () (@list @t1 @t90 @t87)) % 36.74/37.02 (define @t190 () (tptp.c_lessequals @t170 @t48 @t11)) % 36.74/37.02 (define @t191 () (@list @t15 @t1 @t24)) % 36.74/37.02 (define @t192 () (@list @t1 @t15)) % 36.74/37.02 (define @t193 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t180 @t11)) % 36.74/37.02 (define @t194 () (tptp.c_Set_Oinsert @t87 @t71 @t1)) % 36.74/37.02 (define @t195 () (@list @t9 @t19 @t1)) % 36.74/37.02 (define @t196 () (@list @t2 @t15 @t1)) % 36.74/37.02 (define @t197 () (= @t4 @t2)) % 36.74/37.02 (define @t198 () (@list @t1)) % 36.74/37.02 (define @t199 () (tptp.c_Relation_ODomain @t107 @t1 @t19)) % 36.74/37.02 (define @t200 () (tptp.c_Pair @t87 @t90 @t1 @t19)) % 36.74/37.02 (define @t201 () (@list @t87 @t90 @t1 @t19 @t107)) % 36.74/37.03 (define @t202 () (tptp.c_Relation_Osym @t107 @t1)) % 36.74/37.03 (define @t203 () (not @t202)) % 36.74/37.03 (define @t204 () (@var "V_s" $$unsorted)) % 36.74/37.03 (define @t205 () (not (tptp.c_Relation_Osym @t204 @t1))) % 36.74/37.03 (define @t206 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t204 @t172)) % 36.74/37.03 (define @t207 () (@list @t107 @t204 @t1)) % 36.74/37.03 (define @t208 () (@list @t15 @t24 @t1 @t19)) % 36.74/37.03 (define @t209 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 36.74/37.03 (define @t210 () (@list @t1 @t24)) % 36.74/37.03 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t24 @t26)) % 36.74/37.03 (define @t212 () (@list @t46 @t15 @t24 @t19 @t1)) % 36.74/37.03 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t25 @t11)) % 36.74/37.03 (define @t214 () (tptp.c_Relation_OImage @t9 @t211 @t19 @t1)) % 36.74/37.03 (define @t215 () (tptp.c_lessequals @t55 @t15 @t11)) % 36.74/37.03 (define @t216 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 @t55 @t11) @t150)) % 36.74/37.03 (define @t217 () (not @t215)) % 36.74/37.03 (define @t218 () (tptp.hBOOL (tptp.hAPP @t60 @t2))) % 36.74/37.03 (define @t219 () (tptp.hBOOL (tptp.hAPP @t24 @t2))) % 36.74/37.03 (define @t220 () (@list @t24 @t2 @t15 @t1)) % 36.74/37.03 (define @t221 () (not @t219)) % 36.74/37.03 (define @t222 () (tptp.c_Relation_ODomain @t107 @t1 @t1)) % 36.74/37.03 (define @t223 () (@list @t107 @t1 @t204)) % 36.74/37.03 (define @t224 () (tptp.c_COMBK @t55 @t26 @t1)) % 36.74/37.03 (define @t225 () (tptp.c_Product__Type_OSigma @t24 @t224 @t1 @t19)) % 36.74/37.03 (define @t226 () (tptp.c_Product__Type_OSigma @t15 @t224 @t1 @t19)) % 36.74/37.03 (define @t227 () (@list @t15 @t24 @t1 @t55 @t19)) % 36.74/37.03 (define @t228 () (tptp.c_Relation_Orefl__on @t15 @t107 @t1)) % 36.74/37.03 (define @t229 () (not @t228)) % 36.74/37.03 (define @t230 () (not (tptp.c_Relation_Orefl__on @t24 @t204 @t1))) % 36.74/37.03 (define @t231 () (@list @t15 @t24 @t1 @t107 @t204)) % 36.74/37.03 (define @t232 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t1)) % 36.74/37.03 (define @t233 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t232 @t1)) % 36.74/37.03 (define @t234 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t76 @t3 @t1) @t233)) % 36.74/37.03 (define @t235 () (= @t233 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t115 @t1))) % 36.74/37.03 (define @t236 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t126 @t11)) % 36.74/37.03 (define @t237 () (tptp.c_COMBK @t24 @t26 @t1)) % 36.74/37.03 (define @t238 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t90 @t24 @t19) @t26 @t1)) % 36.74/37.03 (define @t239 () (@list @t55 @t15 @t24 @t1)) % 36.74/37.03 (define @t240 () (tptp.c_HOL_Ominus__class_Ominus @t149 @t126 @t11)) % 36.74/37.03 (define @t241 () (@var "V_D" $$unsorted)) % 36.74/37.03 (define @t242 () (@list @t15 @t24 @t1 @t55 @t241)) % 36.74/37.03 (define @t243 () (tptp.c_Relation_Otrans @t107 @t1)) % 36.74/37.03 (define @t244 () (not @t243)) % 36.74/37.03 (define @t245 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t204 @t172)) % 36.74/37.03 (define @t246 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t63 @t66 @t1)) % 36.74/37.03 (define @t247 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t232 @t1)) % 36.74/37.03 (define @t248 () (@list @t15 @t55 @t1 @t24)) % 36.74/37.03 (define @t249 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t30 @t107 @t1)) % 36.74/37.03 (define @t250 () (@var "V_xb" $$unsorted)) % 36.74/37.03 (define @t251 () (= @t2 @t4)) % 36.74/37.03 (define @t252 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 36.74/37.03 (define @t253 () (= @t15 @t24)) % 36.74/37.03 (define @t254 () (tptp.c_Relation_Oconverse @t107 @t1 @t1)) % 36.74/37.03 (define @t255 () (tptp.c_Wellfounded_Oacyclic @t254 @t1)) % 36.74/37.03 (define @t256 () (not @t110)) % 36.74/37.03 (define @t257 () (= @t63 @t4)) % 36.74/37.03 (define @t258 () (= @t60 @t24)) % 36.74/37.03 (define @t259 () (= @t87 @t127)) % 36.74/37.03 (define @t260 () (@var "V_d" $$unsorted)) % 36.74/37.03 (define @t261 () (= @t87 @t260)) % 36.74/37.03 (define @t262 () (not (= (tptp.c_Set_Oinsert @t87 @t123 @t1) (tptp.c_Set_Oinsert @t127 (tptp.c_Set_Oinsert @t260 @t12 @t1) @t1)))) % 36.74/37.03 (define @t263 () (@list @t87 @t90 @t1 @t127 @t260)) % 36.74/37.03 (define @t264 () (= @t90 @t127)) % 36.74/37.03 (define @t265 () (tptp.c_Relation_Oconverse @t204 @t19 @t1)) % 36.74/37.03 (define @t266 () (tptp.c_Relation_Oconverse @t107 @t19 @t1)) % 36.74/37.03 (define @t267 () (@list @t107 @t204 @t19 @t1)) % 36.74/37.03 (define @t268 () (tptp.c_in @t87 @t15 @t1)) % 36.74/37.03 (define @t269 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t180 @t11)) % 36.74/37.03 (define @t270 () (tptp.c_in @t87 @t55 @t1)) % 36.74/37.03 (define @t271 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t180 @t55 @t11)) % 36.74/37.03 (define @t272 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t15 @t107 @t1)) % 36.74/37.03 (define @t273 () (not @t272)) % 36.74/37.03 (define @t274 () (tptp.c_Relation_Ototal__on @t15 @t107 @t1)) % 36.74/37.03 (define @t275 () (@list @t15 @t107 @t1)) % 36.74/37.03 (define @t276 () (not (= @t60 @t12))) % 36.74/37.03 (define @t277 () (= @t15 @t12)) % 36.74/37.03 (define @t278 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t1) @t168))) % 36.74/37.03 (define @t279 () (@list @t1 @t15 @t24)) % 36.74/37.03 (define @t280 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t15 @t11)) % 36.74/37.03 (define @t281 () (@var "T_c" $$unsorted)) % 36.74/37.03 (define @t282 () (@var "V_T" $$unsorted)) % 36.74/37.03 (define @t283 () (tptp.tc_prod @t1 @t281)) % 36.74/37.03 (define @t284 () (tptp.tc_fun @t283 tptp.tc_bool)) % 36.74/37.03 (define @t285 () (tptp.tc_prod @t281 @t19)) % 36.74/37.03 (define @t286 () (tptp.c_lessequals @t55 @t71 @t11)) % 36.74/37.03 (define @t287 () (not @t286)) % 36.74/37.03 (define @t288 () (tptp.c_lessequals @t55 @t24 @t11)) % 36.74/37.03 (define @t289 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t87 @t90 @t1)) % 36.74/37.03 (define @t290 () (tptp.c_lessequals @t2 @t289 @t1)) % 36.74/37.03 (define @t291 () (not @t290)) % 36.74/37.03 (define @t292 () (tptp.c_lessequals @t2 @t87 @t1)) % 36.74/37.03 (define @t293 () (@list @t1 @t2 @t87 @t90)) % 36.74/37.03 (define @t294 () (tptp.c_lessequals @t2 @t90 @t1)) % 36.74/37.03 (define @t295 () (tptp.c_lessequals @t289 @t2 @t1)) % 36.74/37.03 (define @t296 () (tptp.c_lessequals @t2 @t232 @t1)) % 36.74/37.03 (define @t297 () (not @t296)) % 36.74/37.03 (define @t298 () (@list @t1 @t2 @t3 @t4)) % 36.74/37.03 (define @t299 () (tptp.c_HOL_Ominus__class_Ominus @t24 @t55 @t11)) % 36.74/37.03 (define @t300 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t55 @t11)) % 36.74/37.03 (define @t301 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t183 @t184 @t1)) % 36.74/37.03 (define @t302 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 36.74/37.03 (define @t303 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t2 @t1)) % 36.74/37.03 (define @t304 () (= @t63 @t303)) % 36.74/37.03 (define @t305 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t63 @t1) @t63)) % 36.74/37.03 (define @t306 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t183 @t184 @t1)) % 36.74/37.03 (define @t307 () (@list @t15 @t24 @t19 @t1)) % 36.74/37.03 (define @t308 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t30 @t107 @t1)) % 36.74/37.03 (define @t309 () (tptp.hBOOL (tptp.hAPP @t71 @t2))) % 36.74/37.03 (define @t310 () (not @t309)) % 36.74/37.03 (define @t311 () (tptp.c_Relation_ORange @t107 @t19 @t1)) % 36.74/37.03 (define @t312 () (tptp.c_Pair @t87 @t90 @t19 @t1)) % 36.74/37.03 (define @t313 () (@list @t87 @t90 @t19 @t1 @t107)) % 36.74/37.03 (define @t314 () (tptp.c_lessequals @t15 @t48 @t11)) % 36.74/37.03 (define @t315 () (tptp.c_lessequals @t15 @t57 @t11)) % 36.74/37.03 (define @t316 () (tptp.c_lessequals @t36 @t55 @t11)) % 36.74/37.03 (define @t317 () (@var "V_g" $$unsorted)) % 36.74/37.03 (define @t318 () (= (tptp.c_Recdef_Ocut @t46 @t107 @t2 @t1 @t19) (tptp.c_Recdef_Ocut @t317 @t107 @t2 @t1 @t19))) % 36.74/37.03 (define @t319 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t46 @t317 @t107 @t2 @t1 @t19)) % 36.74/37.03 (define @t320 () (tptp.c_HOL_Ouminus__class_Ouminus @t183 @t1)) % 36.74/37.03 (define @t321 () (@list @t1 @t87)) % 36.74/37.03 (define @t322 () (tptp.c_HOL_Ouminus__class_Ouminus @t184 @t1)) % 36.74/37.03 (define @t323 () (@list @t1 @t90)) % 36.74/37.03 (define @t324 () (tptp.c_Pair @t4 @t2 @t1 @t1)) % 36.74/37.03 (define @t325 () (tptp.c_Set_Oinsert @t324 @t107 @t171)) % 36.74/37.03 (define @t326 () (tptp.c_Wellfounded_Oacyclic @t325 @t1)) % 36.74/37.03 (define @t327 () (not @t326)) % 36.74/37.03 (define @t328 () (@list @t107 @t1 @t4 @t2)) % 36.74/37.03 (define @t329 () (tptp.c_lessequals @t87 @t184 @t1)) % 36.74/37.03 (define @t330 () (tptp.c_lessequals @t90 @t183 @t1)) % 36.74/37.03 (define @t331 () (tptp.c_lessequals @t183 @t90 @t1)) % 36.74/37.03 (define @t332 () (tptp.c_lessequals @t184 @t87 @t1)) % 36.74/37.03 (define @t333 () (tptp.c_in @t127 @t15 @t1)) % 36.74/37.03 (define @t334 () (not @t333)) % 36.74/37.03 (define @t335 () (tptp.c_in @t127 @t24 @t1)) % 36.74/37.03 (define @t336 () (not @t335)) % 36.74/37.03 (define @t337 () (tptp.c_in @t127 @t71 @t1)) % 36.74/37.03 (define @t338 () (@list @t127 @t15 @t24 @t1)) % 36.74/37.03 (define @t339 () (not @t268)) % 36.74/37.03 (define @t340 () (tptp.c_in @t87 (tptp.c_Set_Oinsert @t90 @t15 @t1) @t1)) % 36.74/37.03 (define @t341 () (tptp.c_in @t127 @t60 @t1)) % 36.74/37.03 (define @t342 () (not (tptp.c_in @t2 @t12 @t1))) % 36.74/37.03 (define @t343 () (@list @t2 @t1)) % 36.74/37.03 (define @t344 () (tptp.hBOOL (tptp.hAPP @t30 @t2))) % 36.74/37.03 (define @t345 () (@list @t30 @t2 @t1)) % 36.74/37.03 (define @t346 () (@list @t87 @t1)) % 36.74/37.03 (define @t347 () (@list @t127 @t24 @t1 @t15)) % 36.74/37.03 (define @t348 () (tptp.c_in @t127 @t36 @t1)) % 36.74/37.03 (define @t349 () (not @t348)) % 36.74/37.03 (define @t350 () (@list @t127 @t15 @t1 @t24)) % 36.74/37.03 (define @t351 () (tptp.c_in @t127 @t170 @t1)) % 36.74/37.03 (define @t352 () (@list @t127 @t15 @t1)) % 36.74/37.03 (define @t353 () (not @t337)) % 36.74/37.03 (define @t354 () (not @t344)) % 36.74/37.03 (define @t355 () (not (tptp.c_Equiv__Relations_Oequiv @t15 @t107 @t1))) % 36.74/37.03 (define @t356 () (not (tptp.c_in @t90 @t15 @t1))) % 36.74/37.03 (define @t357 () (tptp.c_Pair @t87 @t90 @t1 @t1)) % 36.74/37.03 (define @t358 () (tptp.c_in @t357 @t107 @t171)) % 36.74/37.03 (define @t359 () (tptp.c_Relation_OImage @t107 @t123 @t1 @t1)) % 36.74/37.03 (define @t360 () (tptp.c_Relation_OImage @t107 @t118 @t1 @t1)) % 36.74/37.03 (define @t361 () (= @t360 @t359)) % 36.74/37.03 (define @t362 () (@list @t107 @t87 @t1 @t90 @t15)) % 36.74/37.03 (define @t363 () (tptp.c_in @t4 @t15 @t1)) % 36.74/37.03 (define @t364 () (not @t363)) % 36.74/37.03 (define @t365 () (tptp.c_Pair @t2 @t4 @t1 @t1)) % 36.74/37.03 (define @t366 () (tptp.c_in @t365 @t107 @t171)) % 36.74/37.03 (define @t367 () (= (tptp.c_Relation_OImage @t107 @t39 @t1 @t1) (tptp.c_Relation_OImage @t107 (tptp.c_Set_Oinsert @t4 @t12 @t1) @t1 @t1))) % 36.74/37.03 (define @t368 () (not @t367)) % 36.74/37.03 (define @t369 () (@list @t107 @t2 @t1 @t4 @t15)) % 36.74/37.03 (define @t370 () (not @t366)) % 36.74/37.03 (define @t371 () (not @t358)) % 36.74/37.03 (define @t372 () (tptp.c_Relation_OId @t1)) % 36.74/37.03 (define @t373 () (tptp.c_HOL_Ominus__class_Ominus @t107 @t372 @t172)) % 36.74/37.03 (define @t374 () (tptp.c_Transitive__Closure_Ortrancl @t107 @t1)) % 36.74/37.03 (define @t375 () (tptp.c_in @t357 @t374 @t171)) % 36.74/37.03 (define @t376 () (not @t375)) % 36.74/37.03 (define @t377 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t87 @t90 @t107 @t1)) % 36.74/37.03 (define @t378 () (@list @t87 @t90 @t107 @t1)) % 36.74/37.03 (define @t379 () (= @t90 @t260)) % 36.74/37.03 (define @t380 () (tptp.hAPP @t46 @t87)) % 36.74/37.03 (define @t381 () (not (tptp.c_lessequals @t24 @t241 @t11))) % 36.74/37.03 (define @t382 () (tptp.c_lessequals @t76 @t2 @t1)) % 36.74/37.03 (define @t383 () (tptp.c_lessequals @t76 @t4 @t1)) % 36.74/37.03 (define @t384 () (not @t292)) % 36.74/37.03 (define @t385 () (not @t294)) % 36.74/37.03 (define @t386 () (@list @t107 @t1 @t15)) % 36.74/37.03 (define @t387 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t76 @t1) @t76)) % 36.74/37.03 (define @t388 () (@var "V_r_H" $$unsorted)) % 36.74/37.03 (define @t389 () (not @t104)) % 36.74/37.03 (define @t390 () (tptp.c_lessequals @t2 @t93 @t1)) % 36.74/37.03 (define @t391 () (not @t94)) % 36.74/37.03 (define @t392 () (not @t85)) % 36.74/37.03 (define @t393 () (not (tptp.c_lessequals @t107 @t204 @t172))) % 36.74/37.03 (define @t394 () (tptp.c_lessequals @t42 @t43 @t1)) % 36.74/37.03 (define @t395 () (not (= @t50 @t44))) % 36.74/37.03 (define @t396 () (@list @t1 @t2 @t4 @t43 @t42)) % 36.74/37.03 (define @t397 () (tptp.c_Relation_Oirrefl @t107 @t1)) % 36.74/37.03 (define @t398 () (tptp.c_in @t365 @t374 @t171)) % 36.74/37.03 (define @t399 () (@list @t4 @t2 @t1 @t107)) % 36.74/37.03 (define @t400 () (not @t398)) % 36.74/37.03 (define @t401 () (@list @t2 @t4 @t1 @t107)) % 36.74/37.03 (define @t402 () (not @t166)) % 36.74/37.03 (define @t403 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t30 @t87 @t107 @t1)) % 36.74/37.03 (define @t404 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t30 @t87 @t107 @t1)) % 36.74/37.03 (define @t405 () (tptp.hBOOL (tptp.hAPP @t30 @t90))) % 36.74/37.03 (define @t406 () (@list @t30 @t90 @t87 @t107 @t1)) % 36.74/37.03 (define @t407 () (tptp.c_Set_Oimage @t46 @t15 @t1 @t19)) % 36.74/37.03 (define @t408 () (tptp.hAPP @t46 @t2)) % 36.74/37.03 (define @t409 () (@list @t46 @t2 @t15 @t1 @t19)) % 36.74/37.03 (define @t410 () (tptp.c_in @t90 (tptp.c_Relation_OImage @t107 (tptp.c_Set_Oinsert @t87 @t45 @t19) @t19 @t1) @t1)) % 36.74/37.03 (define @t411 () (tptp.c_in @t312 @t107 @t22)) % 36.74/37.03 (define @t412 () (not (tptp.c_in @t2 @t35 @t1))) % 36.74/37.03 (define @t413 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t35 @t9 @t1)) % 36.74/37.03 (define @t414 () (not (tptp.c_in @t2 @t55 @t1))) % 36.74/37.03 (define @t415 () (tptp.c_COMBK @t55 @t11 @t19)) % 36.74/37.03 (define @t416 () (tptp.c_Product__Type_OSigma @t24 @t415 @t19 @t1)) % 36.74/37.03 (define @t417 () (tptp.c_Product__Type_OSigma @t15 @t415 @t19 @t1)) % 36.74/37.03 (define @t418 () (@list @t15 @t55 @t1 @t19 @t24 @t2)) % 36.74/37.03 (define @t419 () (tptp.c_Wellfounded_Owf @t325 @t1)) % 36.74/37.03 (define @t420 () (not @t419)) % 36.74/37.03 (define @t421 () (tptp.c_Relation_OImage @t107 @t15 @t19 @t1)) % 36.74/37.03 (define @t422 () (tptp.c_in @t90 @t421 @t1)) % 36.74/37.03 (define @t423 () (not @t422)) % 36.74/37.03 (define @t424 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t15 @t90 @t107 @t19 @t1)) % 36.74/37.03 (define @t425 () (@list @t15 @t90 @t107 @t19 @t1)) % 36.74/37.03 (define @t426 () (tptp.c_in @t2 @t174 @t171)) % 36.74/37.03 (define @t427 () (@list @t2 @t9 @t20 @t1)) % 36.74/37.03 (define @t428 () (tptp.c_Wellfounded_Oacc @t107 @t1)) % 36.74/37.03 (define @t429 () (tptp.c_in @t87 @t428 @t1)) % 36.74/37.03 (define @t430 () (not @t429)) % 36.74/37.03 (define @t431 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t30 @t107 @t1)) % 36.74/37.03 (define @t432 () (tptp.c_Wellfounded_Oacc @t9 @t1)) % 36.74/37.03 (define @t433 () (tptp.c_in @t2 @t432 @t1)) % 36.74/37.03 (define @t434 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t9 @t2 @t1)) % 36.74/37.03 (define @t435 () (@list @t9 @t2 @t1)) % 36.74/37.03 (define @t436 () (tptp.c_Wellfounded_Owf @t173 @t1)) % 36.74/37.03 (define @t437 () (tptp.c_Relation_Orel__comp @t9 @t9 @t1 @t1 @t1)) % 36.74/37.03 (define @t438 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t437 (tptp.c_Relation_Orel__comp @t20 @t9 @t1 @t1 @t1) @t172) @t20 @t172) @t1)) % 36.74/37.03 (define @t439 () (@list @t9 @t20 @t1)) % 36.74/37.03 (define @t440 () (tptp.c_Transitive__Closure_Otrancl @t107 @t1)) % 36.74/37.03 (define @t441 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t372 @t172)) % 36.74/37.03 (define @t442 () (tptp.c_Relation_OId__on @t15 @t1)) % 36.74/37.03 (define @t443 () (tptp.c_Relation_Oantisym @t441 @t1)) % 36.74/37.03 (define @t444 () (tptp.c_Relation_Oantisym @t107 @t1)) % 36.74/37.03 (define @t445 () (not @t444)) % 36.74/37.03 (define @t446 () (tptp.c_Relation_Ototal__on @t15 @t373 @t1)) % 36.74/37.03 (define @t447 () (not @t274)) % 36.74/37.03 (define @t448 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 36.74/37.03 (define @t449 () (tptp.c_Transitive__Closure_Ortrancl @t107 tptp.t_a)) % 36.74/37.03 (define @t450 () (@var "V_a2" $$unsorted)) % 36.74/37.03 (define @t451 () (@var "V_a1" $$unsorted)) % 36.74/37.03 (define @t452 () (tptp.c_Pair @t451 @t450 tptp.t_a tptp.t_a)) % 36.74/37.03 (define @t453 () (not (tptp.c_in @t452 @t449 @t448))) % 36.74/37.03 (define @t454 () (= @t450 @t451)) % 36.74/37.03 (define @t455 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t451 @t450 @t107)) % 36.74/37.03 (define @t456 () (@list @t451 @t450 @t107)) % 36.74/37.03 (define @t457 () (tptp.hBOOL (tptp.hAPP @t30 @t4))) % 36.74/37.03 (define @t458 () (@list @t30 @t87 @t4 @t107 @t1)) % 36.74/37.03 (define @t459 () (@var "V_Ra" $$unsorted)) % 36.74/37.03 (define @t460 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t107 @t1)) % 36.74/37.03 (define @t461 () (tptp.c_Pair @t2 @t2 @t1 @t1)) % 36.74/37.03 (define @t462 () (tptp.c_in @t461 @t107 @t171)) % 36.74/37.03 (define @t463 () (not @t462)) % 36.74/37.03 (define @t464 () (@list @t2 @t1 @t107)) % 36.74/37.03 (define @t465 () (tptp.c_Pair @t2 @t3 @t1 @t1)) % 36.74/37.03 (define @t466 () (tptp.c_in @t465 @t440 @t171)) % 36.74/37.03 (define @t467 () (not @t466)) % 36.74/37.03 (define @t468 () (tptp.c_in @t465 @t107 @t171)) % 36.74/37.03 (define @t469 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t107 @t2 @t3 @t1)) % 36.74/37.03 (define @t470 () (tptp.c_Transitive__Closure_Otrancl @t107 tptp.t_a)) % 36.74/37.03 (define @t471 () (not (tptp.c_in @t452 @t470 @t448))) % 36.74/37.03 (define @t472 () (tptp.c_in @t452 @t107 @t448)) % 36.74/37.03 (define @t473 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t451 @t450 @t107)) % 36.74/37.03 (define @t474 () (tptp.c_in @t357 @t440 @t171)) % 36.74/37.03 (define @t475 () (not @t474)) % 36.74/37.03 (define @t476 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t87 @t90 @t107 @t1)) % 36.74/37.03 (define @t477 () (not (tptp.c_in (tptp.c_Pair @t87 @t127 @t1 @t19) (tptp.c_Relation_Orel__comp @t107 @t204 @t1 @t281 @t19) @t133))) % 36.74/37.03 (define @t478 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t87 @t127 @t107 @t204 @t1 @t19 @t281)) % 36.74/37.03 (define @t479 () (@list @t87 @t127 @t107 @t204 @t1 @t19 @t281)) % 36.74/37.03 (define @t480 () (@var "V_p" $$unsorted)) % 36.74/37.03 (define @t481 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t480 @t1)) % 36.74/37.03 (define @t482 () (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 @t15 @t24 @t241 @t1 @t19)) % 36.74/37.03 (define @t483 () (tptp.c_Product__Type_OSigma @t15 @t24 @t1 @t19)) % 36.74/37.03 (define @t484 () (tptp.c_lessequals @t483 (tptp.c_Product__Type_OSigma @t55 @t241 @t1 @t19) @t134)) % 36.74/37.03 (define @t485 () (@list @t15 @t24 @t1 @t19 @t55 @t241)) % 36.74/37.03 (define @t486 () (tptp.c_lessequals @t15 (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Relation_OImage @t266 @t48 @t1 @t19) @t26) @t26)) % 36.74/37.03 (define @t487 () (tptp.c_lessequals @t421 @t24 @t11)) % 36.74/37.03 (define @t488 () (not (tptp.c_in @t127 @t442 @t171))) % 36.74/37.03 (define @t489 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t15 @t127 @t1)) % 36.74/37.03 (define @t490 () (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t15 @t11 @t1) @t1 @t1)) % 36.74/37.03 (define @t491 () (tptp.c_lessequals @t107 @t490 @t172)) % 36.74/37.03 (define @t492 () (not @t491)) % 36.74/37.03 (define @t493 () (@list @t107 @t15 @t1)) % 36.74/37.03 (define @t494 () (not (tptp.c_lessequals @t107 (tptp.c_Product__Type_OSigma @t15 @t237 @t1 @t19) @t134))) % 36.74/37.03 (define @t495 () (tptp.tc_prod @t19 @t281)) % 36.74/37.03 (define @t496 () (tptp.tc_fun @t495 tptp.tc_bool)) % 36.74/37.03 (define @t497 () (tptp.tc_fun @t281 tptp.tc_bool)) % 36.74/37.03 (define @t498 () (tptp.c_Relation_Orel__comp @t107 @t204 @t1 @t19 @t281)) % 36.74/37.03 (define @t499 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t440 @t372 @t172)) % 36.74/37.03 (define @t500 () (tptp.c_Relation_Orel__comp @t374 @t107 @t1 @t1 @t1)) % 36.74/37.03 (define @t501 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t107 @t1)) % 36.74/37.03 (define @t502 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t107 @t1)) % 36.74/37.03 (define @t503 () (tptp.c_Nitpick_Orefl_H @t107 @t1)) % 36.74/37.03 (define @t504 () (not @t397)) % 36.74/37.03 (define @t505 () (not (tptp.c_in @t4 @t35 @t1))) % 36.74/37.03 (define @t506 () (tptp.c_lessequals @t15 @t24 @t26)) % 36.74/37.03 (define @t507 () (tptp.c_lessequals @t417 @t416 @t23)) % 36.74/37.03 (define @t508 () (tptp.c_Relation_Orel__comp @t254 @t107 @t1 @t1 @t1)) % 36.74/37.03 (define @t509 () (tptp.c_Transitive__Closure_Otrancl @t9 @t1)) % 36.74/37.03 (define @t510 () (tptp.c_in @t365 @t509 @t171)) % 36.74/37.03 (define @t511 () (not @t510)) % 36.74/37.03 (define @t512 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t9 @t2 @t4 @t1)) % 36.74/37.03 (define @t513 () (@list @t2 @t9 @t4 @t1)) % 36.74/37.03 (define @t514 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t9 @t2 @t4 @t1)) % 36.74/37.03 (define @t515 () (@list @t9 @t2 @t4 @t1)) % 36.74/37.03 (define @t516 () (tptp.c_in @t480 @t440 @t171)) % 36.74/37.03 (define @t517 () (not (tptp.c_in @t2 @t15 @t19))) % 36.74/37.03 (define @t518 () (not (tptp.c_lessequals @t388 @t107 @t134))) % 36.74/37.03 (define @t519 () (@var "V_A_H" $$unsorted)) % 36.74/37.03 (define @t520 () (tptp.c_Relation_OImage @t107 @t15 @t1 @t19)) % 36.74/37.03 (define @t521 () (@list @t2 @t15 @t19 @t46 @t1)) % 36.74/37.03 (define @t522 () (not (tptp.c_lessequals @t107 @t204 @t134))) % 36.74/37.03 (define @t523 () (@list @t107 @t1 @t19 @t204)) % 36.74/37.03 (define @t524 () (tptp.c_Relation_Osingle__valued @t107 @t1 @t19)) % 36.74/37.03 (define @t525 () (not (tptp.c_lessequals @t30 @t35 @t11))) % 36.74/37.03 (define @t526 () (tptp.hBOOL (tptp.hAPP @t35 @t2))) % 36.74/37.03 (define @t527 () (@list @t35 @t2 @t30 @t1)) % 36.74/37.03 (define @t528 () (tptp.c_lessequals @t2 @t2 @t1)) % 36.74/37.03 (define @t529 () (not (tptp.class_Orderings_Opreorder @t1))) % 36.74/37.03 (define @t530 () (not (tptp.class_Orderings_Oorder @t1))) % 36.74/37.03 (define @t531 () (tptp.c_Transitive__Closure_Ortrancl @t204 @t1)) % 36.74/37.03 (define @t532 () (tptp.c_lessequals @t374 @t531 @t172)) % 36.74/37.03 (define @t533 () (@var "V_s_H" $$unsorted)) % 36.74/37.03 (define @t534 () (@var "V_R2" $$unsorted)) % 36.74/37.03 (define @t535 () (@var "V_R1" $$unsorted)) % 36.74/37.03 (define @t536 () (@var "V_t" $$unsorted)) % 36.74/37.03 (define @t537 () (tptp.c_Wellfounded_Oacc @t107 tptp.t_a)) % 36.74/37.03 (define @t538 () (not (tptp.c_in @t2 @t537 tptp.t_a))) % 36.74/37.03 (define @t539 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t30 @t107)) % 36.74/37.03 (define @t540 () (@list @t30 @t2 @t4 @t107)) % 36.74/37.03 (define @t541 () (not (tptp.c_in @t480 @t107 @t171))) % 36.74/37.03 (define @t542 () (@list @t480 @t107 @t1)) % 36.74/37.03 (define @t543 () (tptp.c_Pair @t90 @t127 @t1 @t1)) % 36.74/37.03 (define @t544 () (not (tptp.c_in @t543 @t374 @t171))) % 36.74/37.03 (define @t545 () (tptp.c_Pair @t87 @t127 @t1 @t1)) % 36.74/37.03 (define @t546 () (tptp.c_in @t545 @t440 @t171)) % 36.74/37.03 (define @t547 () (@list @t87 @t127 @t1 @t107 @t90)) % 36.74/37.03 (define @t548 () (not (tptp.c_in @t543 @t107 @t171))) % 36.74/37.03 (define @t549 () (tptp.c_in @t365 @t176 @t171)) % 36.74/37.03 (define @t550 () (@list @t2 @t4 @t1 @t9)) % 36.74/37.03 (define @t551 () (not @t549)) % 36.74/37.03 (define @t552 () (tptp.c_in @t324 @t374 @t171)) % 36.74/37.03 (define @t553 () (tptp.c_Transitive__Closure_Ortrancl @t254 @t1)) % 36.74/37.03 (define @t554 () (tptp.c_in @t365 @t553 @t171)) % 36.74/37.03 (define @t555 () (tptp.c_Pair @t4 @t3 @t1 @t1)) % 36.74/37.03 (define @t556 () (@list @t87 @t90 @t1 @t107)) % 36.74/37.03 (define @t557 () (@list @t2 @t3 @t1 @t107 @t4)) % 36.74/37.03 (define @t558 () (tptp.c_Transitive__Closure_Otrancl @t254 @t1)) % 36.74/37.03 (define @t559 () (tptp.c_in @t365 @t558 @t171)) % 36.74/37.03 (define @t560 () (tptp.c_Relation_Oconverse @t440 @t1 @t1)) % 36.74/37.03 (define @t561 () (tptp.c_in @t365 @t560 @t171)) % 36.74/37.03 (define @t562 () (tptp.hAPP @t380 @t90)) % 36.74/37.03 (define @t563 () (tptp.c_Pair @t87 @t90 @t19 @t281)) % 36.74/37.03 (define @t564 () (tptp.c_split @t46 @t1 @t19 @t281)) % 36.74/37.03 (define @t565 () (tptp.c_in @t408 @t54 @t1)) % 36.74/37.03 (define @t566 () (@var "T_aa" $$unsorted)) % 36.74/37.03 (define @t567 () (tptp.c_in @t2 @t428 @t1)) % 36.74/37.03 (define @t568 () (@list @t2 @t107 @t1)) % 36.74/37.03 (define @t569 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t30 @t107 @t1)) % 36.74/37.03 (define @t570 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t30 @t107)) % 36.74/37.03 (define @t571 () (@list @t30 @t2 @t107)) % 36.74/37.03 (define @t572 () (tptp.c_Relation_Osym @t254 @t1)) % 36.74/37.03 (define @t573 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t15 @t90 @t107 @t19 @t1)) % 36.74/37.03 (define @t574 () (tptp.c_Relation_Orefl__on @t15 @t254 @t1)) % 36.74/37.03 (define @t575 () (tptp.c_Wellfounded_Owf @t437 @t1)) % 36.74/37.03 (define @t576 () (= @t254 @t107)) % 36.74/37.03 (define @t577 () (tptp.c_Relation_Oinv__image @t107 @t46 @t1 @t19)) % 36.74/37.03 (define @t578 () (@list @t107 @t46 @t1 @t19)) % 36.74/37.03 (define @t579 () (tptp.c_Relation_Orel__comp @t107 @t374 @t1 @t1 @t1)) % 36.74/37.03 (define @t580 () (tptp.c_Relation_Otrans @t254 @t1)) % 36.74/37.03 (define @t581 () (@var "T_d" $$unsorted)) % 36.74/37.03 (define @t582 () (= @t508 @t107)) % 36.74/37.03 (define @t583 () (tptp.c_Relation_Oconverse @t107 @t1 @t19)) % 36.74/37.03 (define @t584 () (@list @t107 @t1 @t19)) % 36.74/37.03 (define @t585 () (not (tptp.c_in @t38 @t35 @t1))) % 36.74/37.03 (define @t586 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t35 @t107 @t1)) % 36.74/37.03 (define @t587 () (not @t524)) % 36.74/37.03 (define @t588 () (tptp.c_Relation_Oantisym @t254 @t1)) % 36.74/37.03 (define @t589 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t107 @t2 @t1)) % 36.74/37.03 (define @t590 () (@var "V_r1" $$unsorted)) % 36.74/37.03 (define @t591 () (@var "V_r2" $$unsorted)) % 36.74/37.03 (define @t592 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t590 @t591 @t46 @t1 @t19 @t281))) % 36.74/37.03 (define @t593 () (tptp.c_Relation_ODomain @t266 @t1 @t19)) % 36.74/37.03 (define @t594 () (@list @t107 @t19 @t1)) % 36.74/37.03 (define @t595 () (tptp.c_Relation_Ototal__on @t15 @t254 @t1)) % 36.74/37.03 (define @t596 () (tptp.c_Pair @t90 @t87 @t1 @t1)) % 36.74/37.03 (define @t597 () (not (tptp.c_in @t596 @t374 @t171))) % 36.74/37.03 (define @t598 () (tptp.c_in @t90 @t428 @t1)) % 36.74/37.03 (define @t599 () (@list @t90 @t107 @t1 @t87)) % 36.74/37.03 (define @t600 () (@var "V_ya" $$unsorted)) % 36.74/37.03 (define @t601 () (tptp.c_in @t600 @t537 tptp.t_a)) % 36.74/37.03 (define @t602 () (@list @t30 @t2 @t600 @t107)) % 36.74/37.03 (define @t603 () (tptp.c_in @t461 @t176 @t171)) % 36.74/37.03 (define @t604 () (tptp.c_in @t2 (tptp.c_Relation_ODomain @t9 @t1 @t1) @t1)) % 36.74/37.03 (define @t605 () (tptp.c_in @t87 @t199 @t1)) % 36.74/37.03 (define @t606 () (not @t605)) % 36.74/37.03 (define @t607 () (@list @t87 @t107 @t1 @t19)) % 36.74/37.03 (define @t608 () (tptp.c_in @t87 @t311 @t1)) % 36.74/37.03 (define @t609 () (@var "V_z1" $$unsorted)) % 36.74/37.03 (define @t610 () (@var "V_y1" $$unsorted)) % 36.74/37.03 (define @t611 () (tptp.tc_prod @t19 @t19)) % 36.74/37.03 (define @t612 () (@var "V_z2" $$unsorted)) % 36.74/37.03 (define @t613 () (@var "V_y2" $$unsorted)) % 36.74/37.03 (define @t614 () (tptp.c_Pair @t2 @t4 @t1 @t19)) % 36.74/37.03 (define @t615 () (= @t4 @t3)) % 36.74/37.03 (define @t616 () (tptp.c_Pair @t2 @t87 @t1 @t1)) % 36.74/37.03 (define @t617 () (not (tptp.c_in @t616 @t107 @t171))) % 36.74/37.03 (define @t618 () (tptp.c_in @t614 @t9 @t133)) % 36.74/37.03 (define @t619 () (tptp.c_FunDef_Oin__rel @t9 @t2 @t4 @t1 @t19)) % 36.74/37.03 (define @t620 () (not (tptp.c_in @t555 @t107 @t171))) % 36.74/37.03 (define @t621 () (tptp.c_Pair @t90 @t87 @t19 @t1)) % 36.74/37.03 (define @t622 () (tptp.c_in @t621 @t107 @t22)) % 36.74/37.03 (define @t623 () (tptp.c_in @t200 @t266 @t133)) % 36.74/37.03 (define @t624 () (not (tptp.c_in @t200 @t107 @t133))) % 36.74/37.03 (define @t625 () (@list @t90 @t87 @t19 @t1 @t107)) % 36.74/37.03 (define @t626 () (not (tptp.c_in @t543 @t440 @t171))) % 36.74/37.03 (define @t627 () (tptp.c_in @t545 @t374 @t171)) % 36.74/37.03 (define @t628 () (tptp.c_Pair @t87 @t87 @t1 @t1)) % 36.74/37.03 (define @t629 () (@list @t87 @t1 @t107)) % 36.74/37.03 (define @t630 () (tptp.c_in @t324 @t107 @t171)) % 36.74/37.03 (define @t631 () (not @t630)) % 36.74/37.03 (define @t632 () (tptp.c_in @t596 @t107 @t171)) % 36.74/37.03 (define @t633 () (tptp.hAPP @t46 @t4)) % 36.74/37.03 (define @t634 () (not (tptp.c_in @t365 @t442 @t171))) % 36.74/37.03 (define @t635 () (tptp.c_in @t628 @t107 @t171)) % 36.74/37.03 (define @t636 () (tptp.c_in (tptp.c_Pair @t408 @t633 @t19 @t19) @t107 @t611)) % 36.74/37.03 (define @t637 () (tptp.c_in @t365 (tptp.c_Relation_Oinv__image @t107 @t46 @t19 @t1) @t171)) % 36.74/37.03 (define @t638 () (= @t2 @t3)) % 36.74/37.03 (define @t639 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t640 () (@var "V_L" $$unsorted)) % 36.74/37.03 (define @t641 () (tptp.c_Pair @t2 @t4 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t642 () (tptp.c_in @t641 @t640 @t639)) % 36.74/37.03 (define @t643 () (not @t642)) % 36.74/37.03 (define @t644 () (tptp.c_in @t641 (tptp.c_Arrow__Order__Mirabelle_Omktop @t640 @t3) @t639)) % 36.74/37.03 (define @t645 () (@list @t2 @t4 @t640 @t3)) % 36.74/37.03 (define @t646 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t640 @t2)) % 36.74/37.03 (define @t647 () (tptp.c_Pair @t2 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t648 () (@list @t2 @t640)) % 36.74/37.03 (define @t649 () (@list @t2 @t4 @t640)) % 36.74/37.03 (define @t650 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t640 @t2)) % 36.74/37.03 (define @t651 () (tptp.c_Pair @t38 @t2 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t652 () (@list @t38 @t2 @t640)) % 36.74/37.03 (define @t653 () (tptp.c_in @t641 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t640 @t3) @t639)) % 36.74/37.03 (define @t654 () (= @t38 @t2)) % 36.74/37.03 (define @t655 () (tptp.c_Pair @t87 @t90 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t656 () (tptp.c_in @t90 (tptp.hAPP @t24 @t87) @t19)) % 36.74/37.03 (define @t657 () (tptp.c_in @t200 @t483 @t133)) % 36.74/37.03 (define @t658 () (@list @t4 @t15 @t1 @t2 @t107)) % 36.74/37.03 (define @t659 () (@list @t2 @t15 @t1 @t4 @t107)) % 36.74/37.03 (define @t660 () (not @t657)) % 36.74/37.03 (define @t661 () (not (= tptp.v_a____ tptp.v_b____))) % 36.74/37.03 (define @t662 () (= tptp.v_a_H____ tptp.v_b_H____)) % 36.74/37.03 (define @t663 () (@var "V_b_H" $$unsorted)) % 36.74/37.03 (define @t664 () (@var "V_a_H" $$unsorted)) % 36.74/37.03 (define @t665 () (not (= @t200 (tptp.c_Pair @t664 @t663 @t1 @t19)))) % 36.74/37.03 (define @t666 () (@list @t87 @t90 @t1 @t19 @t664 @t663)) % 36.74/37.03 (define @t667 () (@var "V_i" $$unsorted)) % 36.74/37.03 (define @t668 () (tptp.hAPP tptp.v_P____ @t667)) % 36.74/37.03 (define @t669 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t670 () (tptp.c_in @t669 @t668 @t639)) % 36.74/37.03 (define @t671 () (not @t670)) % 36.74/37.03 (define @t672 () (tptp.c_Pair tptp.v_a_H____ tptp.v_b_H____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t673 () (tptp.c_in @t672 (tptp.hAPP tptp.v_P_H____ @t667) @t639)) % 36.74/37.03 (define @t674 () (or @t673 @t671)) % 36.74/37.03 (define @t675 () (@list @t667)) % 36.74/37.03 (define @t676 () (forall @t675 @t674)) % 36.74/37.03 (define @t677 () (not @t673)) % 36.74/37.03 (define @t678 () (or @t670 @t677)) % 36.74/37.03 (define @t679 () (forall @t675 @t678)) % 36.74/37.03 (define @t680 () (= tptp.v_a____ tptp.v_b_H____)) % 36.74/37.03 (define @t681 () (= tptp.v_b____ tptp.v_a_H____)) % 36.74/37.03 (define @t682 () (tptp.v_F tptp.v_P____)) % 36.74/37.03 (define @t683 () (tptp.c_in @t669 @t682 @t639)) % 36.74/37.03 (define @t684 () (not @t683)) % 36.74/37.03 (define @t685 () (tptp.c_in @t672 (tptp.v_F tptp.v_P_H____) @t639)) % 36.74/37.03 (define @t686 () (not @t685)) % 36.74/37.03 (define @t687 () (tptp.hBOOL (tptp.hAPP @t20 @t2))) % 36.74/37.03 (define @t688 () (tptp.c_in @t2 @t20 @t1)) % 36.74/37.03 (define @t689 () (not @t680)) % 36.74/37.03 (define @t690 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun @t639 tptp.tc_bool))) % 36.74/37.03 (define @t691 () (tptp.c_in tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf @t690)) % 36.74/37.03 (define @t692 () (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t690)) % 36.74/37.03 (define @t693 () (not (tptp.c_in @t30 tptp.c_Arrow__Order__Mirabelle_OProf @t690))) % 36.74/37.03 (define @t694 () (@var "V_P_H" $$unsorted)) % 36.74/37.03 (define @t695 () (not (tptp.c_in @t694 tptp.c_Arrow__Order__Mirabelle_OProf @t690))) % 36.74/37.03 (define @t696 () (tptp.v_sko__CHAINED__1 @t30 @t694 @t87 @t90 @t127)) % 36.74/37.03 (define @t697 () (tptp.c_in @t655 (tptp.hAPP @t30 @t696) @t639)) % 36.74/37.03 (define @t698 () (not @t697)) % 36.74/37.03 (define @t699 () (tptp.c_Pair @t90 @t127 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t700 () (tptp.c_in @t699 (tptp.hAPP @t694 @t696) @t639)) % 36.74/37.03 (define @t701 () (not @t700)) % 36.74/37.03 (define @t702 () (tptp.c_in @t699 (tptp.v_F @t694) @t639)) % 36.74/37.03 (define @t703 () (not @t702)) % 36.74/37.03 (define @t704 () (tptp.c_in @t655 (tptp.v_F @t30) @t639)) % 36.74/37.03 (define @t705 () (@list @t87 @t90 @t30 @t127 @t694)) % 36.74/37.03 (define @t706 () (forall @t705 (or @t704 @t703 @t701 @t698 @t695 @t693 @t259 @t264 @t122))) % 36.74/37.03 (define @t707 () (not @t704)) % 36.74/37.03 (define @t708 () (@list @t90 @t127 @t694 @t87 @t30)) % 36.74/37.03 (define @t709 () (forall @t708 (or @t702 @t707 @t701 @t698 @t695 @t693 @t259 @t264 @t122))) % 36.74/37.03 (define @t710 () (forall @t705 (or @t704 @t703 @t700 @t697 @t695 @t693 @t259 @t264 @t122))) % 36.74/37.03 (define @t711 () (forall @t708 (or @t702 @t707 @t700 @t697 @t695 @t693 @t259 @t264 @t122))) % 36.74/37.03 (define @t712 () (or @t686 @t684)) % 36.74/37.03 (define @t713 () (or @t683 @t685)) % 36.74/37.03 (define @t714 () (@var "T_1" $$unsorted)) % 36.74/37.03 (define @t715 () (not (tptp.class_Lattices_Olattice @t714))) % 36.74/37.03 (define @t716 () (@var "T_2" $$unsorted)) % 36.74/37.03 (define @t717 () (tptp.tc_fun @t716 @t714)) % 36.74/37.03 (define @t718 () (@list @t716 @t714)) % 36.74/37.03 (define @t719 () (@var "V_Y" $$unsorted)) % 36.74/37.03 (define @t720 () (@var "V_X" $$unsorted)) % 36.74/37.03 (define @t721 () (tptp.v_sko__CHAINED__1 tptp.v_P____ tptp.v_P_H____ tptp.v_a____ tptp.v_a_H____ tptp.v_b_H____)) % 36.74/37.03 (define @t722 () (@list @t721)) % 36.74/37.03 (define @t723 () (tptp.c_in @t672 (tptp.hAPP tptp.v_P_H____ @t721) @t639)) % 36.74/37.03 (define @t724 () (not @t723)) % 36.74/37.03 (define @t725 () (tptp.c_Pair tptp.v_a____ tptp.v_a_H____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.74/37.03 (define @t726 () (tptp.c_in @t725 (tptp.hAPP tptp.v_P____ @t721) @t639)) % 36.74/37.03 (define @t727 () (or @t726 @t724)) % 36.74/37.03 (define @t728 () (= tptp.v_b____ tptp.v_a____)) % 36.74/37.03 (define @t729 () (tptp.c_in @t725 @t682 @t639)) % 36.74/37.03 (define @t730 () (= tptp.v_a____ tptp.v_a_H____)) % 36.74/37.03 (define @t731 () (not @t692)) % 36.74/37.03 (define @t732 () (not @t691)) % 36.74/37.03 (define @t733 () (not @t729)) % 36.74/37.03 (define @t734 () (or @t685 @t733 @t723 @t726 @t732 @t731 @t680 @t662 @t730)) % 36.74/37.03 (define @t735 () (@list tptp.v_a_H____ tptp.v_b_H____ tptp.v_P_H____ tptp.v_a____ tptp.v_P____)) % 36.74/37.03 (define @t736 () (= tptp.v_b_H____ tptp.v_a_H____)) % 36.74/37.03 (define @t737 () (or @t685 @t733 @t723 @t726 @t732 @t731 @t680 @t736 @t730)) % 36.74/37.03 (define @t738 () (@list false)) % 36.74/37.03 (define @t739 () (not @t726)) % 36.74/37.03 (define @t740 () (or @t723 @t739)) % 36.74/37.03 (define @t741 () (or @t685 @t733 @t724 @t739 @t732 @t731 @t680 @t662 @t730)) % 36.74/37.03 (define @t742 () (or @t685 @t733 @t724 @t739 @t732 @t731 @t680 @t736 @t730)) % 36.74/37.03 (define @t743 () (@list false true false true false false true true false false)) % 36.74/37.03 (define @t744 () (or @t729 @t686 @t724 @t739 @t732 @t731 @t680 @t662 @t730)) % 36.74/37.03 (define @t745 () (@list tptp.v_a____ tptp.v_a_H____ tptp.v_P____ tptp.v_b_H____ tptp.v_P_H____)) % 36.74/37.03 (define @t746 () (or @t729 @t686 @t724 @t739 @t732 @t731 @t680 @t736 @t730)) % 36.74/37.03 (define @t747 () (@list true false)) % 36.74/37.03 (define @t748 () (or @t729 @t686 @t723 @t726 @t732 @t731 @t680 @t736 @t730)) % 36.74/37.03 (define @t749 () (not @t748)) % 36.74/37.03 (define @t750 () (or @t729 @t686 @t723 @t726 @t732 @t731 @t680 @t662 @t730)) % 36.74/37.03 (assume @p1 (forall @t8 (or @t7 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1) @t1))))) % 36.74/37.03 (assume @p2 (forall @t14 (or (not (= @t13 @t12)) @t10))) % 36.74/37.03 (assume @p3 (forall @t16 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t15 @t11) @t15))) % 36.74/37.03 (assume @p4 (forall @t18 (or @t17 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t1) @t2)))) % 36.74/37.03 (assume @p5 (forall (@list @t9 @t20 @t19 @t1 @t15) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t20 @t23) @t15 @t19 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 (tptp.c_Relation_OImage @t20 @t15 @t19 @t1) @t11)))) % 36.74/37.03 (assume @p6 (forall @t28 (= (tptp.c_Relation_OImage @t9 @t27 @t19 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t25 @t11)))) % 36.74/37.03 (assume @p7 (forall (@list @t30 @t32 @t9 @t1) (or (tptp.hBOOL (tptp.hAPP @t30 @t32)) (not (tptp.hBOOL (tptp.hAPP @t30 @t31))) @t29))) % 36.74/37.03 (assume @p8 (forall (@list @t2 @t4 @t15 @t1) (= (tptp.c_Set_Oinsert @t2 @t34 @t1) (tptp.c_Set_Oinsert @t4 @t33 @t1)))) % 36.74/37.03 (assume @p9 (forall (@list @t30 @t1 @t19 @t35) (= (tptp.hAPP (tptp.c_COMBK @t30 @t1 @t19) @t35) @t30))) % 36.74/37.03 (assume @p10 (forall @t37 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t24 @t11) @t36))) % 36.74/37.03 (assume @p11 (forall (@list @t38 @t2 @t1) (= (tptp.c_Set_Oinsert @t38 @t39 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t38 @t12 @t1) @t1)))) % 36.74/37.03 (assume @p12 (forall (@list @t1 @t38 @t4 @t2) (or @t41 (not (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t4 @t1) @t40)) (= @t38 @t4)))) % 36.74/37.03 (assume @p13 (forall (@list @t1 @t2 @t43 @t42) (or @t41 (not (= @t40 @t44)) (= @t43 @t42)))) % 36.74/37.03 (assume @p14 (forall (@list @t46 @t19 @t1) (= @t47 @t12))) % 36.74/37.03 (assume @p15 (forall @t37 (= @t36 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t48 @t11)))) % 36.74/37.03 (assume @p16 (forall @t52 (or @t51 (= @t50 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t49 @t1))))) % 36.74/37.03 (assume @p17 (forall (@list @t46 @t15 @t19 @t1 @t24) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t54 @t53 @t11) (tptp.c_Set_Oimage @t46 (tptp.c_HOL_Ominus__class_Ominus @t15 @t24 @t26) @t19 @t1) @t11))) % 36.74/37.03 (assume @p18 (forall @t59 (= @t58 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t56 @t11)))) % 36.74/37.03 (assume @p19 (forall @t61 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t55 @t11) @t58))) % 36.74/37.03 (assume @p20 (forall @t65 (or @t17 @t64))) % 36.74/37.03 (assume @p21 (forall @t65 (or @t17 @t67))) % 36.74/37.03 (assume @p22 (forall @t65 (or @t68 @t67))) % 36.74/37.03 (assume @p23 (forall @t65 (or @t68 @t64))) % 36.74/37.03 (assume @p24 (forall @t37 (or (= @t71 @t15) @t70))) % 36.74/37.03 (assume @p25 (forall @t37 (or (= @t71 @t24) @t73))) % 36.74/37.03 (assume @p26 (forall @t52 (or @t78 @t77 @t75))) % 36.74/37.03 (assume @p27 (forall @t52 (or @t78 (not @t77) @t74))) % 36.74/37.03 (assume @p28 (forall @t52 (or @t78 (= @t76 @t4) @t80))) % 36.74/37.03 (assume @p29 (forall @t61 (or @t85 @t84 @t82))) % 36.74/37.03 (assume @p30 (forall @t86 (tptp.c_lessequals @t24 @t60 @t11))) % 36.74/37.03 (assume @p31 (forall @t37 (tptp.c_lessequals @t15 @t60 @t11))) % 36.74/37.03 (assume @p32 (forall @t95 (or @t17 @t94 @t92 @t89))) % 36.74/37.03 (assume @p33 (forall @t52 (or @t17 @t96))) % 36.74/37.03 (assume @p34 (forall @t98 (or @t17 @t97))) % 36.74/37.03 (assume @p35 (forall @t8 (or @t17 (tptp.c_lessequals @t6 @t2 @t1) (not @t99) @t80))) % 36.74/37.03 (assume @p36 (forall @t65 (or @t17 @t104 @t103 @t101))) % 36.74/37.03 (assume @p37 (forall @t98 (or @t68 @t97))) % 36.74/37.03 (assume @p38 (forall @t52 (or @t68 @t96))) % 36.74/37.03 (assume @p39 (forall @t37 (= @t71 @t105))) % 36.74/37.03 (assume @p40 (forall @t52 (or @t78 @t106))) % 36.74/37.03 (assume @p41 (forall @t52 (or @t68 @t106))) % 36.74/37.03 (assume @p42 (forall @t111 (or @t110 @t109))) % 36.74/37.03 (assume @p43 (forall @t37 (or (= @t113 @t24) @t70))) % 36.74/37.03 (assume @p44 (forall @t65 (or @t68 (tptp.c_lessequals @t116 @t114 @t1)))) % 36.74/37.03 (assume @p45 (forall @t37 (tptp.c_lessequals @t36 @t15 @t11))) % 36.74/37.03 (assume @p46 (forall @t121 (= @t120 @t117))) % 36.74/37.03 (assume @p47 (forall (@list @t87 @t1 @t90) (or (not (= @t118 @t123)) @t122))) % 36.74/37.03 (assume @p48 (forall @t61 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 @t126 @t11) @t125 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t57 @t11) @t124 @t11)))) % 36.74/37.03 (assume @p49 (forall (@list @t127 @t1 @t19) (= (tptp.c_Set_Oimage @t128 @t45 @t19 @t1) @t12))) % 36.74/37.03 (assume @p50 (forall (@list @t2 @t38 @t1) (or (not (= (tptp.c_Set_Oinsert @t2 @t38 @t1) @t12)) (tptp.c_in @t2 @t38 @t1)))) % 36.74/37.03 (assume @p51 (forall @t132 (or @t131 @t130))) % 36.74/37.03 (assume @p52 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t135 @t11) @t55 @t1 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t138 @t136 @t134)))) % 36.74/37.03 (assume @p53 (forall (@list @t4 @t15 @t1 @t2) (or @t142 @t141))) % 36.74/37.03 (assume @p54 (forall @t146 (or @t145 @t70 @t143))) % 36.74/37.03 (assume @p55 (forall @t148 (or @t69 @t143 @t147))) % 36.74/37.03 (assume @p56 (forall @t65 (or @t7 (= @t114 @t116)))) % 36.74/37.03 (assume @p57 (forall @t59 (= @t150 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 @t149 @t11)))) % 36.74/37.03 (assume @p58 (forall @t151 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t15 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t105 @t125 @t11)))) % 36.74/37.03 (assume @p59 (forall (@list @t15 @t1 @t19 @t24) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t153 @t152 @t11) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t15 @t24 @t134) @t1 @t19) @t11))) % 36.74/37.03 (assume @p60 (forall @t37 (or @t155 (= @t36 @t15)))) % 36.74/37.03 (assume @p61 (forall (@list @t90 @t87 @t1) (or (= @t90 @t87) (not (tptp.c_in @t90 @t118 @t1))))) % 36.74/37.03 (assume @p62 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t135 @t11) @t55 @t1 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t138 @t136 @t134)))) % 36.74/37.03 (assume @p63 (forall (@list @t127 @t19 @t1 @t15 @t2) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t127 @t19 @t1) @t15 @t1 @t19) (tptp.c_Set_Oinsert @t127 @t45 @t19)) @t156))) % 36.74/37.03 (assume @p64 (forall (@list @t15 @t2 @t1 @t24) (or @t157 @t156 @t147))) % 36.74/37.03 (assume @p65 (forall @t146 (or @t145 @t156 @t158))) % 36.74/37.03 (assume @p66 (forall @t161 (or (= @t160 @t36) @t159))) % 36.74/37.03 (assume @p67 (forall @t148 (or @t69 @t130))) % 36.74/37.03 (assume @p68 (forall (@list @t15 @t90 @t24 @t1) (or (tptp.c_lessequals @t15 @t162 @t11) @t70))) % 36.74/37.03 (assume @p69 (forall (@list @t15 @t19 @t1 @t24) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t164 @t163 @t11) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t15 @t24 @t23) @t19 @t1) @t11))) % 36.74/37.03 (assume @p70 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t30 @t165))) @t109))) % 36.74/37.03 (assume @p71 (forall @t18 (or @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t169 @t1) @t168)))) % 36.74/37.03 (assume @p72 (forall @t18 (or @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t2 @t1) @t168)))) % 36.74/37.03 (assume @p73 (forall @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t170 @t11) @t12))) % 36.74/37.03 (assume @p74 (forall @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t170 @t15 @t11) @t12))) % 36.74/37.03 (assume @p75 (forall @t178 (tptp.c_lessequals @t177 @t174 @t172))) % 36.74/37.03 (assume @p76 (forall (@list @t1 @t46 @t15 @t19) (or (not (= @t12 @t54)) @t179))) % 36.74/37.03 (assume @p77 (forall @t181 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t180 @t55 @t11) (tptp.c_Set_Oinsert @t87 @t57 @t1)))) % 36.74/37.03 (assume @p78 (forall @t182 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t180 @t11) (tptp.c_Set_Oinsert @t87 @t60 @t1)))) % 36.74/37.03 (assume @p79 (forall @t188 (or @t187 @t186 (not @t185)))) % 36.74/37.03 (assume @p80 (forall @t189 (or @t187 @t185 (not @t186)))) % 36.74/37.03 (assume @p81 (forall (@list @t24 @t1 @t15) (or (tptp.c_lessequals @t48 @t170 @t11) @t70))) % 36.74/37.03 (assume @p82 (forall @t86 (or @t72 (not @t190)))) % 36.74/37.03 (assume @p83 (forall @t191 (or @t190 @t73))) % 36.74/37.03 (assume @p84 (forall @t192 (tptp.c_lessequals @t12 @t15 @t11))) % 36.74/37.03 (assume @p85 (forall @t18 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t168 @t2 @t1)))) % 36.74/37.03 (assume @p86 (forall @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t24 @t11)))) % 36.74/37.03 (assume @p87 (forall @t182 (= @t193 (tptp.c_HOL_Ominus__class_Ominus @t36 @t118 @t11)))) % 36.74/37.03 (assume @p88 (forall @t182 (= @t193 (tptp.c_HOL_Ominus__class_Ominus @t119 @t24 @t11)))) % 36.74/37.03 (assume @p89 (forall @t121 (not (= @t117 @t12)))) % 36.74/37.03 (assume @p90 (forall (@list @t87 @t15 @t1 @t24) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t180 @t11) @t194))) % 36.74/37.03 (assume @p91 (forall @t195 (= (tptp.c_Relation_OImage @t9 @t45 @t19 @t1) @t12))) % 36.74/37.03 (assume @p92 (forall @t196 (= (tptp.c_Set_Oinsert @t2 @t33 @t1) @t33))) % 36.74/37.03 (assume @p93 (forall (@list @t15 @t2 @t4 @t1) (or @t140 @t197 (not @t142)))) % 36.74/37.03 (assume @p94 (forall @t198 (tptp.c_lessequals @t12 (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t11) @t11))) % 36.74/37.03 (assume @p95 (forall @t201 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t200 @t107 @t133) @t1 @t19) (tptp.c_Set_Oinsert @t87 @t199 @t1)))) % 36.74/37.03 (assume @p96 (forall @t207 (or (tptp.c_Relation_Osym @t206 @t1) @t205 @t203))) % 36.74/37.03 (assume @p97 (forall @t208 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t24 @t134) @t1 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t153 @t152 @t11) @t11))) % 36.74/37.03 (assume @p98 (forall @t18 (or @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t168 @t1) @t168)))) % 36.74/37.03 (assume @p99 (forall @t18 (or @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t168 @t2 @t1) @t168)))) % 36.74/37.03 (assume @p100 (forall @t210 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t24 @t11) @t12))) % 36.74/37.03 (assume @p101 (forall @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t12 @t11) @t12))) % 36.74/37.03 (assume @p102 (forall (@list @t24 @t87 @t1) (tptp.c_lessequals @t24 @t180 @t11))) % 36.74/37.03 (assume @p103 (forall @t212 (tptp.c_lessequals (tptp.c_Set_Oimage @t46 @t211 @t19 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t54 @t53 @t11) @t11))) % 36.74/37.03 (assume @p104 (forall @t28 (tptp.c_lessequals @t214 @t213 @t11))) % 36.74/37.03 (assume @p105 (forall @t61 (or (not @t216) @t215))) % 36.74/37.03 (assume @p106 (forall @t61 (or @t216 @t217))) % 36.74/37.03 (assume @p107 (forall @t139 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t137 @t135 @t11) @t55 @t1 @t19) (tptp.c_HOL_Ominus__class_Ominus @t138 @t136 @t134)))) % 36.74/37.03 (assume @p108 (forall @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t12 @t11) @t15))) % 36.74/37.03 (assume @p109 (forall @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t15 @t11) @t12))) % 36.74/37.03 (assume @p110 (forall @t220 (or @t219 @t140 (not @t218)))) % 36.74/37.03 (assume @p111 (forall @t148 (or @t218 @t221))) % 36.74/37.03 (assume @p112 (forall @t148 (or @t218 @t141))) % 36.74/37.03 (assume @p113 (forall @t223 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t222 (tptp.c_Relation_ORange @t204 @t1 @t1) @t11) @t12)) (not (tptp.c_Wellfounded_Owf @t204 @t1)) @t109 (tptp.c_Wellfounded_Owf @t206 @t1)))) % 36.74/37.03 (assume @p114 (forall @t227 (= (tptp.c_Product__Type_OSigma @t71 @t224 @t1 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t226 @t225 @t134)))) % 36.74/37.03 (assume @p115 (forall @t231 (or (tptp.c_Relation_Orefl__on @t60 @t206 @t1) @t230 @t229))) % 36.74/37.03 (assume @p116 (forall @t65 (or @t68 @t234))) % 36.74/37.03 (assume @p117 (forall @t65 (or @t68 @t235))) % 36.74/37.03 (assume @p118 (forall @t65 (or @t78 @t235))) % 36.74/37.03 (assume @p119 (forall @t65 (or @t78 @t234))) % 36.74/37.03 (assume @p120 (forall @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71 @t55 @t11) @t236))) % 36.74/37.03 (assume @p121 (forall @t59 (= @t236 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t149 @t11)))) % 36.74/37.03 (assume @p122 (forall @t18 (or @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t168 @t1) @t2)))) % 36.74/37.03 (assume @p123 (forall @t18 (or @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t168 @t2 @t1) @t2)))) % 36.74/37.03 (assume @p124 (forall @t210 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t24 @t11) @t24))) % 36.74/37.03 (assume @p125 (forall @t16 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t12 @t11) @t15))) % 36.74/37.03 (assume @p126 (forall @t192 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t15 @t11) @t12))) % 36.74/37.03 (assume @p127 (forall (@list @t87 @t15 @t1 @t90 @t24 @t19) (= (tptp.c_Product__Type_OSigma @t117 @t238 @t1 @t19) (tptp.c_Set_Oinsert @t200 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t15 @t238 @t1 @t19) (tptp.c_Product__Type_OSigma @t117 @t237 @t1 @t19) @t134) @t133)))) % 36.74/37.03 (assume @p128 (forall @t18 (not (tptp.hBOOL (tptp.hAPP @t12 @t2))))) % 36.74/37.03 (assume @p129 (forall @t239 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t55 @t36 @t11) (tptp.c_HOL_Ominus__class_Ominus @t125 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t55 @t24 @t11) @t11)))) % 36.74/37.03 (assume @p130 (forall @t61 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t55 @t11) @t240))) % 36.74/37.03 (assume @p131 (forall (@list @t127 @t1 @t19 @t15) (or (= (tptp.c_Set_Oimage @t128 @t15 @t19 @t1) (tptp.c_Set_Oinsert @t127 @t12 @t1)) @t179))) % 36.74/37.03 (assume @p132 (forall @t242 (or (tptp.c_lessequals @t36 (tptp.c_HOL_Ominus__class_Ominus @t55 @t241 @t11) @t11) (not (tptp.c_lessequals @t241 @t24 @t11)) @t82))) % 36.74/37.03 (assume @p133 (forall @t132 (or @t159 @t156 @t155))) % 36.74/37.03 (assume @p134 (forall @t207 (or (tptp.c_Relation_Otrans @t245 @t1) (not (tptp.c_Relation_Otrans @t204 @t1)) @t244))) % 36.74/37.03 (assume @p135 (forall @t65 (or @t68 (tptp.c_lessequals @t247 @t246 @t1)))) % 36.74/37.03 (assume @p136 (forall @t248 (= @t240 (tptp.c_HOL_Ominus__class_Ominus @t149 @t24 @t11)))) % 36.74/37.03 (assume @p137 (forall @t52 (or @t68 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t76 @t1) @t2)))) % 36.74/37.03 (assume @p138 (forall (@list @t30 @t250 @t107 @t1) (or (tptp.hBOOL (tptp.hAPP @t30 @t250)) (not (tptp.hBOOL (tptp.hAPP @t30 @t249))) @t109))) % 36.74/37.03 (assume @p139 (forall @t52 (or @t51 (not (= @t169 @t49)) @t251))) % 36.74/37.03 (assume @p140 (forall @t188 (or @t252 (not (= @t183 @t184)) @t122))) % 36.74/37.03 (assume @p141 (forall @t191 (or (not (= @t170 @t48)) @t253))) % 36.74/37.03 (assume @p142 (forall @t111 (or @t110 (not @t255)))) % 36.74/37.03 (assume @p143 (forall @t111 (or @t255 @t256))) % 36.74/37.03 (assume @p144 (forall @t52 (or @t68 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t63 @t1) @t2)))) % 36.74/37.03 (assume @p145 (forall @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t71 @t11) @t15))) % 36.74/37.03 (assume @p146 (forall @t52 (or @t17 (= @t63 @t2) @t80))) % 36.74/37.03 (assume @p147 (forall @t52 (or @t17 (not @t257) @t74))) % 36.74/37.03 (assume @p148 (forall @t52 (or @t17 @t257 @t75))) % 36.74/37.03 (assume @p149 (forall @t37 (or @t258 @t70))) % 36.74/37.03 (assume @p150 (forall @t37 (or (= @t60 @t15) @t73))) % 36.74/37.03 (assume @p151 (forall @t37 (or (not @t258) @t69))) % 36.74/37.03 (assume @p152 (forall @t231 (or (tptp.c_Relation_Orefl__on @t71 @t245 @t1) @t230 @t229))) % 36.74/37.03 (assume @p153 (forall @t263 (or @t262 @t261 @t259))) % 36.74/37.03 (assume @p154 (forall @t263 (or @t262 @t264 @t259))) % 36.74/37.03 (assume @p155 (forall @t148 (or @t69 @t147 @t143))) % 36.74/37.03 (assume @p156 (forall @t267 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t204 @t23) @t19 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t266 @t265 @t134)))) % 36.74/37.03 (assume @p157 (forall @t182 (or (= @t269 @t71) @t268))) % 36.74/37.03 (assume @p158 (forall @t181 (or (= @t271 @t126) @t270))) % 36.74/37.03 (assume @p159 (forall @t275 (or @t274 @t273))) % 36.74/37.03 (assume @p160 (forall @t37 (or @t276 (= @t24 @t12)))) % 36.74/37.03 (assume @p161 (forall @t37 (or @t276 @t277))) % 36.74/37.03 (assume @p162 (forall @t279 (or @t209 @t278 (= @t15 @t168)))) % 36.74/37.03 (assume @p163 (forall @t279 (or @t209 @t278 (= @t24 @t168)))) % 36.74/37.03 (assume @p164 (forall @t86 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t112 @t15 @t11) @t280))) % 36.74/37.03 (assume @p165 (forall @t37 (= @t113 @t60))) % 36.74/37.03 (assume @p166 (forall (@list @t20 @t282 @t1 @t281 @t9 @t19) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t282 @t284) @t9 @t1 @t281 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t20 @t9 @t1 @t281 @t19) (tptp.c_Relation_Orel__comp @t282 @t9 @t1 @t281 @t19) @t134)))) % 36.74/37.03 (assume @p167 (forall (@list @t9 @t20 @t282 @t281 @t19 @t1) (= (tptp.c_Relation_Orel__comp @t9 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t282 (tptp.tc_fun @t285 tptp.tc_bool)) @t1 @t281 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t9 @t20 @t1 @t281 @t19) (tptp.c_Relation_Orel__comp @t9 @t282 @t1 @t281 @t19) @t134)))) % 36.74/37.03 (assume @p168 (forall (@list @t55 @t24 @t1 @t15) (or @t288 @t287))) % 36.74/37.03 (assume @p169 (forall (@list @t55 @t15 @t1 @t24) (or @t215 @t287))) % 36.74/37.03 (assume @p170 (forall @t293 (or @t78 @t292 @t291))) % 36.74/37.03 (assume @p171 (forall (@list @t1 @t2 @t90 @t87) (or @t78 @t294 @t291))) % 36.74/37.03 (assume @p172 (forall @t95 (or @t78 @t295 @t89))) % 36.74/37.03 (assume @p173 (forall @t95 (or @t78 @t295 @t92))) % 36.74/37.03 (assume @p174 (forall @t65 (or @t78 @t74 @t297))) % 36.74/37.03 (assume @p175 (forall @t298 (or @t78 @t100 @t297))) % 36.74/37.03 (assume @p176 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t60 @t55 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t300 @t299 @t11)))) % 36.74/37.03 (assume @p177 (forall @t188 (or @t302 (= @t289 (tptp.c_HOL_Ouminus__class_Ouminus @t301 @t1))))) % 36.74/37.03 (assume @p178 (forall @t37 (= @t60 @t280))) % 36.74/37.03 (assume @p179 (forall @t52 (or @t17 @t304))) % 36.74/37.03 (assume @p180 (forall @t52 (or @t68 @t304))) % 36.74/37.03 (assume @p181 (forall @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t71 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t170 @t48 @t11)))) % 36.74/37.03 (assume @p182 (forall @t52 (or @t51 (= (tptp.c_HOL_Ouminus__class_Ouminus @t76 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t169 @t49 @t1))))) % 36.74/37.03 (assume @p183 (forall @t188 (or @t302 (= (tptp.c_HOL_Ouminus__class_Ouminus @t289 @t1) @t301)))) % 36.74/37.03 (assume @p184 (forall @t208 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t134) @t1 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t152 @t11)))) % 36.74/37.03 (assume @p185 (forall @t121 (= @t117 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t15 @t11)))) % 36.74/37.03 (assume @p186 (forall @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t60 @t11) @t60))) % 36.74/37.03 (assume @p187 (forall @t52 (or @t17 @t305))) % 36.74/37.03 (assume @p188 (forall @t52 (or @t68 @t305))) % 36.74/37.03 (assume @p189 (forall (@list @t1 @t46 @t19) (= @t12 @t47))) % 36.74/37.03 (assume @p190 (forall @t37 (= (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t170 @t48 @t11)))) % 36.74/37.03 (assume @p191 (forall @t52 (or @t51 (= (tptp.c_HOL_Ouminus__class_Ouminus @t63 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t49 @t1))))) % 36.74/37.03 (assume @p192 (forall @t188 (or @t302 (= (tptp.c_HOL_Ouminus__class_Ouminus @t93 @t1) @t306)))) % 36.74/37.03 (assume @p193 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t112 @t11) @t12))) % 36.74/37.03 (assume @p194 (forall @t307 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t24 @t23) @t19 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t164 @t163 @t11) @t11))) % 36.74/37.03 (assume @p195 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t30 @t308))) @t109))) % 36.74/37.03 (assume @p196 (forall @t178 (= (tptp.c_Transitive__Closure_Ortrancl @t177 @t1) @t174))) % 36.74/37.03 (assume @p197 (forall @t37 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t48 @t11) @t71))) % 36.74/37.03 (assume @p198 (forall @t161 (or (= @t160 (tptp.c_Set_Oinsert @t2 @t36 @t1)) @t131))) % 36.74/37.03 (assume @p199 (forall @t146 (or @t145 @t70 @t158))) % 36.74/37.03 (assume @p200 (forall @t220 (or @t219 @t310))) % 36.74/37.03 (assume @p201 (forall @t146 (or @t140 @t310))) % 36.74/37.03 (assume @p202 (forall @t313 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t312 @t107 @t22) @t19 @t1) (tptp.c_Set_Oinsert @t90 @t311 @t1)))) % 36.74/37.03 (assume @p203 (forall @t37 (or @t154 (not @t314)))) % 36.74/37.03 (assume @p204 (forall @t37 (or @t155 @t314))) % 36.74/37.03 (assume @p205 (forall @t207 (or (tptp.c_Relation_Osym @t245 @t1) @t205 @t203))) % 36.74/37.03 (assume @p206 (forall @t196 (or (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t39 @t11) @t15) @t143))) % 36.74/37.03 (assume @p207 (forall @t61 (or @t316 (not @t315)))) % 36.74/37.03 (assume @p208 (forall @t59 (or @t315 (not @t316)))) % 36.74/37.03 (assume @p209 (forall (@list @t46 @t317 @t107 @t2 @t1 @t19) (or (not (= (tptp.hAPP @t46 @t319) (tptp.hAPP @t317 @t319))) @t318))) % 36.74/37.03 (assume @p210 (forall @t16 (= (tptp.c_HOL_Ouminus__class_Ouminus @t170 @t11) @t15))) % 36.74/37.03 (assume @p211 (forall @t321 (or @t252 (= @t320 @t87)))) % 36.74/37.03 (assume @p212 (forall @t18 (or @t51 (= (tptp.c_HOL_Ouminus__class_Ouminus @t169 @t1) @t2)))) % 36.74/37.03 (assume @p213 (forall @t323 (or @t252 (= @t90 @t322)))) % 36.74/37.03 (assume @p214 (forall @t321 (or @t252 (= @t87 @t320)))) % 36.74/37.03 (assume @p215 (forall @t323 (or @t252 (= @t322 @t90)))) % 36.74/37.03 (assume @p216 (forall @t328 (or @t110 @t327))) % 36.74/37.03 (assume @p217 (forall @t188 (or @t41 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t87 @t90 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t90 @t87 @t1))))) % 36.74/37.03 (assume @p218 (forall @t189 (or @t187 @t330 (not @t329)))) % 36.74/37.03 (assume @p219 (forall @t188 (or @t187 @t329 (not @t330)))) % 36.74/37.03 (assume @p220 (forall @t189 (or @t187 @t332 (not @t331)))) % 36.74/37.03 (assume @p221 (forall @t188 (or @t187 @t331 (not @t332)))) % 36.74/37.03 (assume @p222 (forall @t338 (or @t337 @t336 @t334))) % 36.74/37.03 (assume @p223 (forall (@list @t87 @t90 @t15 @t1) (or @t340 @t339))) % 36.74/37.03 (assume @p224 (forall (@list @t87 @t90 @t24 @t1) (or (tptp.c_in @t87 @t162 @t1) (not (tptp.c_in @t87 @t24 @t1))))) % 36.74/37.03 (assume @p225 (forall @t338 (or @t341 @t334))) % 36.74/37.03 (assume @p226 (forall @t338 (or @t341 @t336))) % 36.74/37.03 (assume @p227 (forall @t343 @t342)) % 36.74/37.03 (assume @p228 (forall @t345 (or @t344 @t342))) % 36.74/37.03 (assume @p229 (forall (@list @t127 @t1) (not (tptp.c_in @t127 @t12 @t1)))) % 36.74/37.03 (assume @p230 (forall @t346 (not (tptp.c_in @t87 @t12 @t1)))) % 36.74/37.03 (assume @p231 (forall (@list @t87 @t15 @t1 @t90) (or @t268 @t122 (not @t340)))) % 36.74/37.03 (assume @p232 (forall @t347 (or @t335 @t333 (not @t341)))) % 36.74/37.03 (assume @p233 (forall @t347 (or @t336 @t349))) % 36.74/37.03 (assume @p234 (forall @t350 (or @t333 @t349))) % 36.74/37.03 (assume @p235 (forall @t352 (or @t351 @t333))) % 36.74/37.03 (assume @p236 (forall @t352 (or @t334 (not @t351)))) % 36.74/37.03 (assume @p237 (forall @t196 (tptp.c_in @t2 @t33 @t1))) % 36.74/37.03 (assume @p238 (forall (@list @t87 @t24 @t1) (tptp.c_in @t87 @t180 @t1))) % 36.74/37.03 (assume @p239 (forall (@list @t2 @t24 @t1) (tptp.c_in @t2 @t144 @t1))) % 36.74/37.03 (assume @p240 (forall @t347 (or @t335 @t353))) % 36.74/37.03 (assume @p241 (forall @t350 (or @t333 @t353))) % 36.74/37.03 (assume @p242 (forall @t345 (or @t354 @t342))) % 36.74/37.03 (assume @p243 (forall @t338 (or @t348 @t335 @t334))) % 36.74/37.03 (assume @p244 (forall @t161 (or (not (= @t33 @t144)) @t131 @t143 @t253))) % 36.74/37.03 (assume @p245 (forall @t121 (or (= @t117 @t15) @t339))) % 36.74/37.03 (assume @p246 (forall @t362 (or (not @t361) @t358 @t356 @t355))) % 36.74/37.03 (assume @p247 (forall @t369 (or @t368 @t355 @t366 @t364 @t156))) % 36.74/37.03 (assume @p248 (forall @t369 (or @t367 @t370 @t364 @t156 @t355))) % 36.74/37.03 (assume @p249 (forall @t369 (or @t368 @t364 @t156 @t355 @t366))) % 36.74/37.03 (assume @p250 (forall @t362 (or (tptp.c_lessequals @t360 @t359 @t11) @t371 @t355))) % 36.74/37.03 (assume @p251 (forall @t111 (tptp.c_Relation_Oirrefl @t373 @t1))) % 36.74/37.03 (assume @p252 (forall @t378 (or (tptp.c_in (tptp.c_Pair @t377 @t90 @t1 @t1) @t107 @t171) @t122 @t376))) % 36.74/37.03 (assume @p253 (forall @t263 (or @t262 @t261 @t379))) % 36.74/37.03 (assume @p254 (forall @t263 (or @t262 @t264 @t379))) % 36.74/37.03 (assume @p255 (forall @t16 (or @t277 (not (tptp.c_lessequals @t15 @t12 @t11))))) % 36.74/37.03 (assume @p256 (forall @t198 (tptp.c_lessequals @t12 @t12 @t11))) % 36.74/37.03 (assume @p257 (forall (@list @t1 @t87 @t15) (not (= @t12 @t117)))) % 36.74/37.03 (assume @p258 (forall @t181 (or (= @t271 (tptp.c_Set_Oinsert @t87 @t126 @t1)) (not @t270)))) % 36.74/37.03 (assume @p259 (forall @t182 (or (= @t269 @t194) @t339))) % 36.74/37.03 (assume @p260 (forall (@list @t46 @t87 @t24 @t19 @t1) (= (tptp.c_Set_Oimage @t46 (tptp.c_Set_Oinsert @t87 @t24 @t19) @t19 @t1) (tptp.c_Set_Oinsert @t380 @t53 @t1)))) % 36.74/37.03 (assume @p261 (forall (@list @t1 @t107) (tptp.c_Relation_Ototal__on @t12 @t107 @t1))) % 36.74/37.03 (assume @p262 (forall @t242 (or (tptp.c_lessequals @t60 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 @t241 @t11) @t11) @t381 @t82))) % 36.74/37.03 (assume @p263 (forall @t267 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t204 @t23) @t19 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t266 @t265 @t134)))) % 36.74/37.03 (assume @p264 (forall @t52 (or @t68 @t382))) % 36.74/37.03 (assume @p265 (forall @t52 (or @t68 @t383))) % 36.74/37.03 (assume @p266 (forall @t65 (or @t78 @t296 @t101 @t75))) % 36.74/37.03 (assume @p267 (forall @t293 (or @t78 @t290 @t385 @t384))) % 36.74/37.03 (assume @p268 (forall @t52 (or @t78 @t383))) % 36.74/37.03 (assume @p269 (forall @t52 (or @t78 @t382))) % 36.74/37.03 (assume @p270 (forall @t37 (tptp.c_lessequals @t71 @t15 @t11))) % 36.74/37.03 (assume @p271 (forall @t37 (tptp.c_lessequals @t71 @t24 @t11))) % 36.74/37.03 (assume @p272 (forall @t239 (or @t286 (not @t288) @t217))) % 36.74/37.03 (assume @p273 (forall @t227 (= (tptp.c_Product__Type_OSigma @t60 @t224 @t1 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t226 @t225 @t134)))) % 36.74/37.03 (assume @p274 (forall @t8 (or @t7 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t232 @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t303 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1) @t1))))) % 36.74/37.03 (assume @p275 (forall @t65 (or @t7 (= @t247 @t246)))) % 36.74/37.03 (assume @p276 (forall @t59 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t126 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t56 @t11)))) % 36.74/37.03 (assume @p277 (forall @t151 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t126 @t15 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t280 @t124 @t11)))) % 36.74/37.03 (assume @p278 (forall @t386 (or @t243 @t273))) % 36.74/37.03 (assume @p279 (forall @t196 (tptp.hBOOL (tptp.hAPP @t33 @t2)))) % 36.74/37.03 (assume @p280 (forall @t161 (or @t129 @t70 @t159))) % 36.74/37.03 (assume @p281 (forall @t227 (= (tptp.c_Product__Type_OSigma @t36 @t224 @t1 @t19) (tptp.c_HOL_Ominus__class_Ominus @t226 @t225 @t134)))) % 36.74/37.03 (assume @p282 (forall @t52 (or @t68 @t387))) % 36.74/37.03 (assume @p283 (forall @t52 (or @t78 @t387))) % 36.74/37.03 (assume @p284 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t71 @t11) @t71))) % 36.74/37.03 (assume @p285 (forall @t307 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t23) @t19 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t164 @t163 @t11)))) % 36.74/37.03 (assume @p286 (forall (@list @t107 @t388 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t388 @t172) @t1) @t109))) % 36.74/37.03 (assume @p287 (forall (@list @t388 @t107 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t388 @t107 @t172) @t1) @t109))) % 36.74/37.03 (assume @p288 (forall @t121 (or (= @t120 @t15) @t339))) % 36.74/37.03 (assume @p289 (forall @t18 (or @t78 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t1) @t2)))) % 36.74/37.03 (assume @p290 (forall @t16 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t15 @t11) @t15))) % 36.74/37.03 (assume @p291 (forall @t8 (or @t17 @t102 @t389))) % 36.74/37.03 (assume @p292 (forall @t298 (or @t17 @t100 @t389))) % 36.74/37.03 (assume @p293 (forall @t293 (or @t17 @t390 @t385))) % 36.74/37.03 (assume @p294 (forall @t293 (or @t17 @t390 @t384))) % 36.74/37.03 (assume @p295 (forall (@list @t1 @t90 @t2 @t87) (or @t17 @t91 @t391))) % 36.74/37.03 (assume @p296 (forall (@list @t1 @t87 @t2 @t90) (or @t17 @t88 @t391))) % 36.74/37.03 (assume @p297 (forall @t248 (or @t81 @t392))) % 36.74/37.03 (assume @p298 (forall @t151 (or @t83 @t392))) % 36.74/37.03 (assume @p299 (forall @t223 (or @t110 @t393 (not (tptp.c_Wellfounded_Oacyclic @t204 @t1))))) % 36.74/37.03 (assume @p300 (forall (@list @t46 @t15 @t19 @t1) (or (not (= @t54 @t12)) @t179))) % 36.74/37.03 (assume @p301 (forall @t242 (or (tptp.c_lessequals @t71 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t55 @t241 @t11) @t11) @t381 @t82))) % 36.74/37.03 (assume @p302 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t57 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t300 @t11)))) % 36.74/37.03 (assume @p303 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t71 @t55 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t299 @t11)))) % 36.74/37.03 (assume @p304 (forall @t343 (tptp.c_in @t2 @t39 @t1))) % 36.74/37.03 (assume @p305 (forall @t16 (or @t277 (not (tptp.c_lessequals @t15 @t170 @t11))))) % 36.74/37.03 (assume @p306 (forall (@list @t15 @t2 @t1) (or (= @t15 @t39) @t277 (not (tptp.c_lessequals @t15 @t39 @t11))))) % 36.74/37.03 (assume @p307 (forall @t59 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t126 @t11) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t300 @t11)))) % 36.74/37.03 (assume @p308 (forall @t148 (or @t309 @t221 @t141))) % 36.74/37.03 (assume @p309 (forall @t188 (or @t302 (= @t93 (tptp.c_HOL_Ouminus__class_Ouminus @t306 @t1))))) % 36.74/37.03 (assume @p310 (forall (@list @t24 @t55 @t15 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t24 (tptp.c_HOL_Ominus__class_Ominus @t55 @t15 @t11) @t11) @t15) @t84 @t70))) % 36.74/37.03 (assume @p311 (forall @t396 (or @t187 @t395 @t394 @t80))) % 36.74/37.03 (assume @p312 (forall @t396 (or @t187 @t395 @t79 (not @t394)))) % 36.74/37.03 (assume @p313 (forall (@list @t87 @t55 @t1 @t241) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t87 @t55 @t1) (tptp.c_Set_Oinsert @t87 @t241 @t1) @t11) (not (tptp.c_lessequals @t55 @t241 @t11))))) % 36.74/37.03 (assume @p314 (forall @t198 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t12 @t11) @t12))) % 36.74/37.03 (assume @p315 (forall @t212 (= (tptp.c_Set_Oimage @t46 @t27 @t19 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t53 @t11)))) % 36.74/37.03 (assume @p316 (forall @t386 (or @t397 @t273))) % 36.74/37.03 (assume @p317 (forall @t399 (or @t326 @t398 @t256))) % 36.74/37.03 (assume @p318 (forall @t401 (or @t400 @t327))) % 36.74/37.03 (assume @p319 (forall @t406 (or @t405 (tptp.c_in (tptp.c_Pair @t404 @t403 @t1 @t1) @t107 @t171) @t402 @t376))) % 36.74/37.03 (assume @p320 (forall (@list @t87 @t107 @t1 @t15) (or (tptp.c_in @t87 @t360 @t1) @t339 @t355))) % 36.74/37.03 (assume @p321 (forall (@list @t87 @t90 @t1 @t107 @t2 @t15) (or @t358 (not (tptp.c_in @t2 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t360 @t359 @t11) @t1)) @t355))) % 36.74/37.03 (assume @p322 (forall @t409 (or (= (tptp.c_Set_Oinsert @t408 @t407 @t19) @t407) @t156))) % 36.74/37.03 (assume @p323 (forall @t313 (or @t411 (not @t410)))) % 36.74/37.03 (assume @p324 (forall (@list @t90 @t107 @t87 @t19 @t1) (or @t410 (not @t411)))) % 36.74/37.03 (assume @p325 (forall (@list @t35 @t9 @t1 @t2) (or (tptp.c_in @t413 @t35 @t1) @t412 @t29))) % 36.74/37.03 (assume @p326 (forall @t418 (or (not (= @t417 @t416)) @t414 @t253))) % 36.74/37.03 (assume @p327 (forall @t328 (or @t108 @t420))) % 36.74/37.03 (assume @p328 (forall @t425 (or (tptp.c_in @t424 @t15 @t19) @t423))) % 36.74/37.03 (assume @p329 (forall @t427 (or @t426 (not (tptp.c_in @t2 @t176 @t171))))) % 36.74/37.03 (assume @p330 (forall @t427 (or @t426 (not (tptp.c_in @t2 @t175 @t171))))) % 36.74/37.03 (assume @p331 (forall @t362 (or @t361 @t371 @t355))) % 36.74/37.03 (assume @p332 (forall @t369 (or @t367 @t370 @t355))) % 36.74/37.03 (assume @p333 (forall @t167 (or @t166 (tptp.c_in @t431 @t428 @t1) @t430))) % 36.74/37.03 (assume @p334 (forall @t435 (or (not (tptp.c_in @t434 @t432 @t1)) @t433))) % 36.74/37.03 (assume @p335 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t30 @t431))) @t430))) % 36.74/37.03 (assume @p336 (forall @t178 (or @t438 (not @t436)))) % 36.74/37.03 (assume @p337 (forall @t439 (or @t436 (not @t438)))) % 36.74/37.03 (assume @p338 (forall @t111 (= @t440 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 (tptp.c_Relation_Orel__comp @t440 @t107 @t1 @t1 @t1) @t172)))) % 36.74/37.03 (assume @p339 (forall @t14 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t176 @t372 @t172) @t176))) % 36.74/37.03 (assume @p340 (forall @t14 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t372 @t172) @t1) @t176))) % 36.74/37.03 (assume @p341 (forall @t111 (= (tptp.c_Transitive__Closure_Ortrancl @t373 @t1) @t374))) % 36.74/37.03 (assume @p342 (forall @t111 (or (tptp.c_Relation_Oantisym @t374 @t1) @t256))) % 36.74/37.03 (assume @p343 (forall @t111 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t254 @t172) @t1))) % 36.74/37.03 (assume @p344 (forall @t111 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t254 @t172) @t1))) % 36.74/37.03 (assume @p345 (forall @t111 (or (tptp.c_Relation_Otrans @t441 @t1) @t244))) % 36.74/37.03 (assume @p346 (forall @t191 (= (tptp.c_Relation_OImage @t442 @t24 @t1 @t1) @t71))) % 36.74/37.03 (assume @p347 (forall @t111 (or @t444 (not @t443)))) % 36.74/37.03 (assume @p348 (forall @t111 (or @t443 @t445))) % 36.74/37.03 (assume @p349 (forall @t275 (or @t274 (not @t446)))) % 36.74/37.03 (assume @p350 (forall @t275 (or @t446 @t447))) % 36.74/37.03 (assume @p351 (forall @t406 (or @t405 (tptp.c_in (tptp.c_Pair @t87 @t404 @t1 @t1) @t374 @t171) @t402 @t376))) % 36.74/37.03 (assume @p352 (forall @t406 (or @t405 (not (tptp.hBOOL (tptp.hAPP @t30 @t403))) @t402 @t376))) % 36.74/37.03 (assume @p353 (forall @t456 (or (tptp.c_in (tptp.c_Pair @t451 @t455 tptp.t_a tptp.t_a) @t449 @t448) @t454 @t453))) % 36.74/37.03 (assume @p354 (forall @t406 (or @t405 (tptp.hBOOL (tptp.hAPP @t30 @t404)) @t402 @t376))) % 36.74/37.03 (assume @p355 (forall @t456 (or (tptp.c_in (tptp.c_Pair @t455 @t450 tptp.t_a tptp.t_a) @t107 @t448) @t454 @t453))) % 36.74/37.03 (assume @p356 (forall (@list @t30 @t87 @t90 @t107 @t1) (or @t166 (not (tptp.hBOOL (tptp.hAPP @t30 (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t30 @t90 @t107 @t1)))) (not @t405) @t376))) % 36.74/37.03 (assume @p357 (forall @t378 (or (tptp.c_in (tptp.c_Pair @t87 @t377 @t1 @t1) @t374 @t171) @t122 @t376))) % 36.74/37.03 (assume @p358 (forall @t458 (or @t166 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t308 @t1 @t1) @t107 @t171)) @t109))) % 36.74/37.03 (assume @p359 (forall (@list @t30 @t38 @t4 @t107 @t1) (or (tptp.hBOOL (tptp.hAPP @t30 @t38)) @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t249 @t1 @t1) @t107 @t171)) @t109))) % 36.74/37.03 (assume @p360 (forall (@list @t30 @t459 @t4 @t9 @t1) (or (tptp.hBOOL (tptp.hAPP @t30 @t459)) @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t31 @t1 @t1) @t9 @t171)) @t29))) % 36.74/37.03 (assume @p361 (forall @t458 (or @t166 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t165 @t1 @t1) @t107 @t171)) @t109))) % 36.74/37.03 (assume @p362 (forall @t464 (or @t463 (tptp.c_in (tptp.c_Pair @t460 @t460 @t1 @t1) @t440 @t171)))) % 36.74/37.03 (assume @p363 (forall (@list @t107 @t2 @t3 @t1) (or (tptp.c_in (tptp.c_Pair @t469 @t3 @t1 @t1) @t440 @t171) @t468 @t467))) % 36.74/37.03 (assume @p364 (forall @t456 (or (tptp.c_in (tptp.c_Pair @t451 @t473 tptp.t_a tptp.t_a) @t470 @t448) @t472 @t471))) % 36.74/37.03 (assume @p365 (forall @t464 (or (not (tptp.c_in @t461 @t440 @t171)) @t256))) % 36.74/37.03 (assume @p366 (forall @t378 (or (tptp.c_in (tptp.c_Pair @t476 @t90 @t1 @t1) @t107 @t171) @t358 @t475))) % 36.74/37.03 (assume @p367 (forall @t378 (or (tptp.c_in (tptp.c_Pair @t87 @t476 @t1 @t1) @t440 @t171) @t358 @t475))) % 36.74/37.03 (assume @p368 (forall (@list @t2 @t107 @t3 @t1) (or (tptp.c_in (tptp.c_Pair @t2 @t469 @t1 @t1) @t107 @t171) @t468 @t467))) % 36.74/37.03 (assume @p369 (forall @t456 (or (tptp.c_in (tptp.c_Pair @t473 @t450 tptp.t_a tptp.t_a) @t107 @t448) @t472 @t471))) % 36.74/37.03 (assume @p370 (forall (@list @t87 @t90 @t1 @t107 @t15) (or @t358 @t356 (not (tptp.c_lessequals @t359 @t360 @t11)) @t355))) % 36.74/37.03 (assume @p371 (forall @t479 (or (tptp.c_in (tptp.c_Pair @t478 @t127 @t281 @t19) @t204 @t285) @t477))) % 36.74/37.03 (assume @p372 (forall @t479 (or (tptp.c_in (tptp.c_Pair @t87 @t478 @t1 @t281) @t107 @t283) @t477))) % 36.74/37.03 (assume @p373 (forall (@list @t480 @t1) (or (= @t480 (tptp.c_Pair @t481 @t481 @t1 @t1)) (not (tptp.c_in @t480 @t372 @t171))))) % 36.74/37.03 (assume @p374 (forall @t14 (or @t10 (tptp.c_lessequals @t13 (tptp.c_Relation_OImage @t9 @t13 @t1 @t1) @t11)))) % 36.74/37.03 (assume @p375 (forall (@list @t15 @t1 @t9) (or @t277 (not (tptp.c_lessequals @t15 (tptp.c_Relation_OImage @t9 @t15 @t1 @t1) @t11)) @t29))) % 36.74/37.03 (assume @p376 (forall @t111 (or @t108 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t107 @t1) @t428 @t1))))) % 36.74/37.03 (assume @p377 (forall @t111 (or @t108 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t107 @t1) @t428 @t1))))) % 36.74/37.03 (assume @p378 (forall @t485 (or @t484 (not (tptp.c_lessequals (tptp.hAPP @t24 @t482) (tptp.hAPP @t241 @t482) @t26)) @t82))) % 36.74/37.03 (assume @p379 (forall (@list @t107 @t15 @t19 @t1 @t24) (or @t487 (not @t486)))) % 36.74/37.03 (assume @p380 (forall (@list @t15 @t107 @t19 @t1 @t24) (or @t486 (not @t487)))) % 36.74/37.03 (assume @p381 (forall (@list @t15 @t127 @t1) (or (tptp.c_in @t489 @t15 @t1) @t488))) % 36.74/37.03 (assume @p382 (forall @t352 (or (= @t127 (tptp.c_Pair @t489 @t489 @t1 @t1)) @t488))) % 36.74/37.03 (assume @p383 (forall (@list @t46 @t107 @t2 @t1 @t19 @t317) (or @t318 (tptp.c_in (tptp.c_Pair @t319 @t2 @t1 @t1) @t107 @t171)))) % 36.74/37.03 (assume @p384 (forall @t386 (or (tptp.c_lessequals @t440 @t490 @t172) @t492))) % 36.74/37.03 (assume @p385 (forall @t439 (or @t436 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t9 @t20 @t1 @t1 @t1) @t9 @t172)) (not (tptp.c_Wellfounded_Owf @t20 @t1)) @t29))) % 36.74/37.03 (assume @p386 (forall @t223 (or (tptp.c_lessequals @t440 @t204 @t172) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t440 @t204 @t172) @t107 @t1 @t1 @t1) @t204 @t172)) @t393))) % 36.74/37.03 (assume @p387 (forall @t493 (or @t491 @t355))) % 36.74/37.03 (assume @p388 (forall (@list @t107 @t204 @t1 @t19 @t281 @t15 @t55 @t24) (or (tptp.c_lessequals @t498 (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t55 @t497 @t1) @t1 @t281) @t284) (not (tptp.c_lessequals @t204 (tptp.c_Product__Type_OSigma @t24 (tptp.c_COMBK @t55 @t497 @t19) @t19 @t281) @t496)) @t494))) % 36.74/37.03 (assume @p389 (forall @t111 (= @t499 @t374))) % 36.74/37.03 (assume @p390 (forall @t111 (= (tptp.c_Transitive__Closure_Otrancl @t441 @t1) @t374))) % 36.74/37.03 (assume @p391 (forall @t111 (= @t374 @t499))) % 36.74/37.03 (assume @p392 (forall @t493 (or @t491 @t229))) % 36.74/37.03 (assume @p393 (forall @t111 (= @t374 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t372 @t500 @t172)))) % 36.74/37.03 (assume @p394 (= (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))) % 36.74/37.03 (assume @p395 (forall @t111 (or @t397 (tptp.c_in (tptp.c_Pair @t501 @t501 @t1 @t1) @t107 @t171)))) % 36.74/37.03 (assume @p396 (forall @t16 (tptp.c_lessequals @t442 @t490 @t172))) % 36.74/37.03 (assume @p397 (forall @t28 (or (= @t214 @t213) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t9 @t19 @t1) @t1 @t19))))) % 36.74/37.03 (assume @p398 (forall @t111 (or (tptp.c_Relation_Otrans @t373 @t1) @t445 @t244))) % 36.74/37.03 (assume @p399 (forall @t111 (or @t503 (not (tptp.c_in (tptp.c_Pair @t502 @t502 @t1 @t1) @t107 @t171))))) % 36.74/37.03 (assume @p400 (forall @t275 (or @t272 @t447 @t504 @t244))) % 36.74/37.03 (assume @p401 (forall (@list @t4 @t35 @t1 @t9 @t2) (or @t505 (not (tptp.c_in (tptp.c_Pair @t4 @t413 @t1 @t1) @t9 @t171)) @t412 @t29))) % 36.74/37.03 (assume @p402 (forall @t425 (or (tptp.c_in (tptp.c_Pair @t424 @t90 @t19 @t1) @t107 @t22) @t423))) % 36.74/37.03 (assume @p403 (forall @t435 (or (tptp.c_in (tptp.c_Pair @t434 @t2 @t1 @t1) @t9 @t171) @t433))) % 36.74/37.03 (assume @p404 (forall @t458 (or @t166 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t431 @t1 @t1) @t107 @t171)) @t430))) % 36.74/37.03 (assume @p405 (forall @t401 (or @t400 @t420))) % 36.74/37.03 (assume @p406 (forall @t399 (or @t419 @t398 @t109))) % 36.74/37.03 (assume @p407 (forall @t418 (or @t507 (not @t506) @t414))) % 36.74/37.03 (assume @p408 (forall (@list @t15 @t24 @t19 @t55 @t1 @t2) (or @t506 (not @t507) @t414))) % 36.74/37.03 (assume @p409 (forall @t485 (or @t484 (tptp.c_in @t482 @t15 @t1) @t82))) % 36.74/37.03 (assume @p410 (forall (@list @t107 @t55 @t1 @t19 @t24 @t15) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t107 @t55 @t1 @t19) @t24 @t26) @t494))) % 36.74/37.03 (assume @p411 (forall @t223 (or (tptp.c_lessequals @t374 @t204 @t172) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t374 @t204 @t172) @t107 @t1 @t1 @t1) @t204 @t172)) (not (tptp.c_lessequals @t372 @t204 @t172))))) % 36.74/37.03 (assume @p412 (forall (@list @t87 @t15 @t1 @t90 @t107) (or @t268 @t122 @t492 @t376))) % 36.74/37.03 (assume @p413 (forall @t386 (or (tptp.c_lessequals @t107 @t508 @t172) @t229))) % 36.74/37.03 (assume @p414 (forall @t513 (or (tptp.c_in (tptp.c_Pair @t2 @t512 @t1 @t1) @t9 @t171) @t511))) % 36.74/37.03 (assume @p415 (forall @t515 (or (tptp.c_in (tptp.c_Pair @t514 @t4 @t1 @t1) @t9 @t171) @t511))) % 36.74/37.03 (assume @p416 (forall @t111 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t107 @t107 @t1 @t1 @t1) @t107 @t172) @t244))) % 36.74/37.03 (assume @p417 (forall (@list @t480 @t204 @t1 @t107) (or (tptp.c_in @t480 (tptp.c_Transitive__Closure_Otrancl @t204 @t1) @t171) @t393 (not @t516)))) % 36.74/37.03 (assume @p418 (forall (@list @t46 @t2 @t24 @t1 @t15 @t19) (or (tptp.c_in @t408 @t24 @t1) @t517 (not (tptp.c_lessequals @t54 @t24 @t11))))) % 36.74/37.03 (assume @p419 (forall @t98 (or (not (tptp.class_Orderings_Olinorder @t1)) @t79 @t74))) % 36.74/37.03 (assume @p420 (forall (@list @t388 @t519 @t1 @t19 @t107 @t15) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t388 @t519 @t1 @t19) @t520 @t26) (not (tptp.c_lessequals @t519 @t15 @t11)) @t518))) % 36.74/37.03 (assume @p421 (forall @t521 (or (not (tptp.c_lessequals @t2 @t15 @t26)) (tptp.c_lessequals (tptp.c_Set_Oimage @t46 @t2 @t19 @t1) @t54 @t11)))) % 36.74/37.03 (assume @p422 (forall (@list @t46 @t15 @t1 @t19 @t24) (or (tptp.c_lessequals @t407 (tptp.c_Set_Oimage @t46 @t24 @t1 @t19) @t26) @t70))) % 36.74/37.03 (assume @p423 (forall @t523 (or (tptp.c_lessequals @t199 (tptp.c_Relation_ODomain @t204 @t1 @t19) @t11) @t522))) % 36.74/37.03 (assume @p424 (forall @t523 (or @t524 (not (tptp.c_Relation_Osingle__valued @t204 @t1 @t19)) @t522))) % 36.74/37.03 (assume @p425 (forall @t527 (or @t526 @t525 @t354))) % 36.74/37.03 (assume @p426 (forall @t223 (or @t444 (not (tptp.c_Relation_Oantisym @t204 @t1)) @t393))) % 36.74/37.03 (assume @p427 (forall @t18 (or @t529 @t528))) % 36.74/37.03 (assume @p428 (forall @t18 (or @t530 @t528))) % 36.74/37.03 (assume @p429 (forall (@list @t480 @t1 @t107) (or (tptp.c_Wellfounded_Owf @t480 @t1) (not (tptp.c_lessequals @t480 @t107 @t172)) @t109))) % 36.74/37.03 (assume @p430 (forall @t527 (or @t526 @t354 @t525))) % 36.74/37.03 (assume @p431 (forall @t248 (or @t81 @t84 @t70))) % 36.74/37.03 (assume @p432 (forall @t16 (tptp.c_lessequals @t15 @t15 @t11))) % 36.74/37.03 (assume @p433 (forall @t343 (tptp.c_lessequals @t2 @t2 @t11))) % 36.74/37.03 (assume @p434 (forall @t298 (or @t529 @t100 @t103 @t75))) % 36.74/37.03 (assume @p435 (forall (@list @t1 @t3 @t2 @t4) (or @t530 @t99 (not (tptp.c_lessequals @t3 @t4 @t1)) @t80))) % 36.74/37.03 (assume @p436 (forall @t223 (or @t532 (not (tptp.c_lessequals @t107 @t531 @t172))))) % 36.74/37.03 (assume @p437 (forall @t52 (or @t530 @t251 @t75 @t80))) % 36.74/37.03 (assume @p438 (forall @t52 (or @t530 @t251 @t80 @t75))) % 36.74/37.03 (assume @p439 (forall @t37 (or @t253 @t73 @t70))) % 36.74/37.03 (assume @p440 (forall @t223 (or @t532 @t393))) % 36.74/37.03 (assume @p441 (forall (@list @t388 @t533 @t1 @t19 @t281 @t107 @t204) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t388 @t533 @t1 @t19 @t281) @t498 @t284) (not (tptp.c_lessequals @t533 @t204 @t496)) @t518))) % 36.74/37.03 (assume @p442 (forall (@list @t20 @t1 @t9) (or (= @t175 @t176) (not (tptp.c_lessequals @t20 @t176 @t172)) (not (tptp.c_lessequals @t9 @t20 @t172))))) % 36.74/37.03 (assume @p443 (forall (@list @t534 @t1 @t535) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t534 @t1) (tptp.c_Wellfounded_Oacc @t535 @t1) @t11) (not (tptp.c_lessequals @t535 @t534 @t172))))) % 36.74/37.03 (assume @p444 (forall (@list @t19 @t46 @t2 @t317 @t1) (or (not (tptp.class_HOL_Oord @t19)) (tptp.c_lessequals @t408 (tptp.hAPP @t317 @t2) @t19) (not (tptp.c_lessequals @t46 @t317 (tptp.tc_fun @t1 @t19)))))) % 36.74/37.03 (assume @p445 (forall (@list @t536 @t24 @t1 @t15) (or (tptp.c_in @t536 @t24 @t1) (not (tptp.c_in @t536 @t15 @t1)) @t70))) % 36.74/37.03 (assume @p446 (forall @t132 (or @t131 @t70 @t156))) % 36.74/37.03 (assume @p447 (forall @t347 (or @t335 @t334 @t70))) % 36.74/37.03 (assume @p448 (forall @t132 (or @t131 @t156 @t70))) % 36.74/37.03 (assume @p449 (forall (@list @t90 @t107 @t1 @t19) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t90 @t107 @t1 @t19) @t90 @t19 @t1) @t107 @t22) (not (tptp.c_in @t90 @t311 @t1))))) % 36.74/37.03 (assume @p450 (forall @t515 (or (tptp.c_in (tptp.c_Pair @t512 @t4 @t1 @t1) @t176 @t171) @t511))) % 36.74/37.03 (assume @p451 (forall @t513 (or (tptp.c_in (tptp.c_Pair @t2 @t514 @t1 @t1) @t176 @t171) @t511))) % 36.74/37.03 (assume @p452 (forall @t111 (or (tptp.c_lessequals @t508 @t107 @t172) @t244 @t203))) % 36.74/37.03 (assume @p453 (forall @t540 (or @t344 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t539 tptp.t_a tptp.t_a) @t107 @t448)) @t538))) % 36.74/37.03 (assume @p454 (forall @t542 (or (tptp.c_in @t480 @t374 @t171) @t541))) % 36.74/37.03 (assume @p455 (forall @t542 (or @t516 @t541))) % 36.74/37.03 (assume @p456 (forall @t547 (or @t546 @t544 @t371))) % 36.74/37.03 (assume @p457 (forall @t547 (or @t546 @t548 @t376))) % 36.74/37.03 (assume @p458 (forall @t550 (or @t549 @t511 @t251))) % 36.74/37.03 (assume @p459 (forall @t550 (or @t510 @t251 @t551))) % 36.74/37.03 (assume @p460 (forall (@list @t87 @t90 @t1 @t9) (or (tptp.c_in @t357 @t509 @t171) @t122 (not (tptp.c_in @t357 @t176 @t171))))) % 36.74/37.03 (assume @p461 (forall @t401 (or @t554 (not @t552)))) % 36.74/37.03 (assume @p462 (forall @t399 (or @t552 (not @t554)))) % 36.74/37.03 (assume @p463 (forall (@list @t3 @t4 @t1 @t107 @t2) (or (tptp.c_in (tptp.c_Pair @t3 @t4 @t1 @t1) @t374 @t171) (tptp.c_in @t555 @t374 @t171) (not (tptp.c_in @t465 @t374 @t171)) @t400 (not (tptp.c_Relation_Osingle__valued @t107 @t1 @t1))))) % 36.74/37.03 (assume @p464 (forall @t556 (or @t375 @t475))) % 36.74/37.03 (assume @p465 (forall @t547 (or @t546 @t544 @t475))) % 36.74/37.03 (assume @p466 (forall @t557 (or @t466 (not (tptp.c_in @t555 @t440 @t171)) @t400))) % 36.74/37.03 (assume @p467 (forall @t401 (or @t561 (not @t559)))) % 36.74/37.03 (assume @p468 (forall @t401 (or @t559 (not @t561)))) % 36.74/37.03 (assume @p469 (forall (@list @t46 @t19 @t281 @t1 @t87 @t90) (= (tptp.hAPP (tptp.c_split @t46 @t19 @t281 @t1) @t563) @t562))) % 36.74/37.03 (assume @p470 (forall (@list @t46 @t1 @t19 @t281 @t87 @t90) (= (tptp.hAPP @t564 @t200) @t562))) % 36.74/37.03 (assume @p471 (forall (@list @t9 @t87 @t90 @t127 @t1 @t19 @t281) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t9 @t87) @t90) @t127)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t9 @t1 @t19 @t497) @t200) @t127)))))) % 36.74/37.03 (assume @p472 (forall @t409 (or (tptp.c_in @t408 @t407 @t19) @t156))) % 36.74/37.03 (assume @p473 (forall (@list @t46 @t2 @t15 @t19 @t1) (or @t565 @t517))) % 36.74/37.03 (assume @p474 (forall @t521 (or @t517 @t565))) % 36.74/37.03 (assume @p475 (forall (@list @t2 @t15 @t566 @t46 @t1) (or (not (tptp.c_in @t2 @t15 @t566)) (tptp.c_in @t408 (tptp.c_Set_Oimage @t46 @t15 @t566 @t1) @t1)))) % 36.74/37.03 (assume @p476 (forall @t568 (or @t567 @t109))) % 36.74/37.03 (assume @p477 (forall @t16 (tptp.c_Relation_Osingle__valued @t442 @t1 @t1))) % 36.74/37.03 (assume @p478 (forall @t111 (or (tptp.c_Relation_Osym @t440 @t1) @t203))) % 36.74/37.03 (assume @p479 (forall @t167 (or @t166 (not (tptp.hBOOL (tptp.hAPP @t30 @t569))) @t430))) % 36.74/37.03 (assume @p480 (forall @t111 (or (= @t440 @t107) @t244))) % 36.74/37.03 (assume @p481 (forall @t571 (or @t344 (not (tptp.hBOOL (tptp.hAPP @t30 @t570))) @t538))) % 36.74/37.03 (assume @p482 (forall @t111 (or @t202 (not @t572)))) % 36.74/37.03 (assume @p483 (forall @t111 (or @t572 @t203))) % 36.74/37.03 (assume @p484 (forall @t111 (= (tptp.c_Relation_ODomain @t440 @t1 @t1) @t222))) % 36.74/37.03 (assume @p485 (forall @t425 (or (tptp.c_in @t573 @t15 @t19) @t423))) % 36.74/37.03 (assume @p486 (forall @t198 (tptp.c_Relation_Osym @t372 @t1))) % 36.74/37.03 (assume @p487 (forall @t16 (tptp.c_Relation_Otrans @t442 @t1))) % 36.74/37.03 (assume @p488 (forall (@list @t1 @t9 @t19) (= (tptp.c_Relation_Orel__comp @t372 @t9 @t1 @t1 @t19) @t9))) % 36.74/37.03 (assume @p489 (forall @t195 (= (tptp.c_Relation_Orel__comp @t9 (tptp.c_Relation_OId @t19) @t1 @t19 @t19) @t9))) % 36.74/37.03 (assume @p490 (forall @t16 (tptp.c_Relation_Oantisym @t442 @t1))) % 36.74/37.03 (assume @p491 (forall @t111 (or (tptp.c_Wellfounded_Owf @t560 @t1) (not (tptp.c_Wellfounded_Owf @t254 @t1))))) % 36.74/37.03 (assume @p492 (forall @t275 (or @t228 (not @t574)))) % 36.74/37.03 (assume @p493 (forall @t275 (or @t574 @t229))) % 36.74/37.03 (assume @p494 (forall @t111 (or (tptp.c_Relation_Osym @t374 @t1) @t203))) % 36.74/37.03 (assume @p495 (forall @t14 (or @t575 @t29))) % 36.74/37.03 (assume @p496 (forall @t14 (or @t10 (not @t575)))) % 36.74/37.03 (assume @p497 (forall @t192 (= (tptp.c_Relation_OImage @t372 @t15 @t1 @t1) @t15))) % 36.74/37.03 (assume @p498 (forall @t198 (tptp.c_Relation_Osingle__valued @t372 @t1 @t1))) % 36.74/37.03 (assume @p499 (forall @t16 (= (tptp.c_Relation_ODomain @t442 @t1 @t1) @t15))) % 36.74/37.03 (assume @p500 (forall @t111 (or @t576 @t203))) % 36.74/37.03 (assume @p501 (forall @t111 (or (not @t576) @t202))) % 36.74/37.03 (assume @p502 (forall @t111 (= (tptp.c_Relation_ORange @t440 @t1 @t1) (tptp.c_Relation_ORange @t107 @t1 @t1)))) % 36.74/37.03 (assume @p503 (forall @t111 (tptp.c_Relation_Otrans @t440 @t1))) % 36.74/37.03 (assume @p504 (forall (@list @t107 @t204 @t19 @t281 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t107 @t204 @t19 @t281 @t1) @t19 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t204 @t281 @t1) (tptp.c_Relation_Oconverse @t107 @t19 @t281) @t1 @t281 @t19)))) % 36.74/37.03 (assume @p505 (forall @t16 (tptp.c_Relation_Osym @t442 @t1))) % 36.74/37.03 (assume @p506 (forall @t16 (tptp.c_Relation_Orefl__on @t15 @t442 @t1))) % 36.74/37.03 (assume @p507 (forall @t578 (or (tptp.c_Wellfounded_Owf @t577 @t19) @t109))) % 36.74/37.03 (assume @p508 (forall @t111 (= @t579 @t500))) % 36.74/37.03 (assume @p509 (forall @t578 (or (tptp.c_Relation_Osym @t577 @t19) @t203))) % 36.74/37.03 (assume @p510 (forall @t14 (= (tptp.c_Transitive__Closure_Otrancl @t176 @t1) @t176))) % 36.74/37.03 (assume @p511 (forall @t111 (tptp.c_Relation_Otrans @t374 @t1))) % 36.74/37.03 (assume @p512 (forall @t111 (or @t243 (not @t580)))) % 36.74/37.03 (assume @p513 (forall @t111 (or @t580 @t244))) % 36.74/37.03 (assume @p514 (forall @t198 (= (tptp.c_Relation_Oconverse @t372 @t1 @t1) @t372))) % 36.74/37.03 (assume @p515 (forall @t111 (or (tptp.c_Wellfounded_Owf @t440 @t1) @t109))) % 36.74/37.03 (assume @p516 (forall (@list @t9 @t20 @t1 @t581 @t281 @t282 @t19) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t9 @t20 @t1 @t581 @t281) @t282 @t1 @t281 @t19) (tptp.c_Relation_Orel__comp @t9 (tptp.c_Relation_Orel__comp @t20 @t282 @t581 @t281 @t19) @t1 @t581 @t19)))) % 36.74/37.03 (assume @p517 (forall (@list @t9 @t46 @t19 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t9 @t46 @t19 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t9 @t19 @t19) @t46 @t19 @t1)))) % 36.74/37.03 (assume @p518 (forall @t111 (= @t558 @t560))) % 36.74/37.03 (assume @p519 (forall @t578 (or (tptp.c_Relation_Otrans @t577 @t19) @t244))) % 36.74/37.03 (assume @p520 (forall @t16 (= (tptp.c_Relation_Oconverse @t442 @t1 @t1) @t442))) % 36.74/37.03 (assume @p521 (forall @t111 (or (not @t582) (tptp.c_Equiv__Relations_Oequiv @t222 @t107 @t1)))) % 36.74/37.03 (assume @p522 (forall @t198 (tptp.c_Relation_Oantisym @t372 @t1))) % 36.74/37.03 (assume @p523 (forall @t584 (= (tptp.c_Relation_ORange @t583 @t19 @t1) @t199))) % 36.74/37.03 (assume @p524 (forall (@list @t35 @t107 @t1 @t38) (or (tptp.c_in @t586 @t35 @t1) @t585 @t109))) % 36.74/37.03 (assume @p525 (forall @t16 (= (tptp.c_Relation_ORange @t442 @t1 @t1) @t15))) % 36.74/37.03 (assume @p526 (forall (@list @t107 @t204 @t1 @t19 @t281) (or (tptp.c_Relation_Osingle__valued @t498 @t1 @t281) (not (tptp.c_Relation_Osingle__valued @t204 @t19 @t281)) @t587))) % 36.74/37.03 (assume @p527 (forall @t584 (= (tptp.c_Relation_Oconverse @t583 @t19 @t1) @t107))) % 36.74/37.03 (assume @p528 (forall @t198 (tptp.c_Relation_Otrans @t372 @t1))) % 36.74/37.03 (assume @p529 (forall @t386 (or @t582 @t355))) % 36.74/37.03 (assume @p530 (forall @t14 (= (tptp.c_Relation_Orel__comp @t176 @t176 @t1 @t1 @t1) @t176))) % 36.74/37.03 (assume @p531 (forall @t111 (or @t444 (not @t588)))) % 36.74/37.03 (assume @p532 (forall @t111 (or @t588 @t445))) % 36.74/37.03 (assume @p533 (forall @t571 (or @t344 (not (tptp.hBOOL (tptp.hAPP @t30 @t539))) @t538))) % 36.74/37.03 (assume @p534 (forall @t275 (or @t228 @t355))) % 36.74/37.03 (assume @p535 (forall @t111 (= @t553 (tptp.c_Relation_Oconverse @t374 @t1 @t1)))) % 36.74/37.03 (assume @p536 (forall @t386 (or @t202 @t355))) % 36.74/37.03 (assume @p537 (forall @t568 (or @t567 (not (tptp.c_in @t589 @t428 @t1))))) % 36.74/37.03 (assume @p538 (forall (@list @t591 @t46 @t87 @t19 @t281 @t15 @t1 @t590) (or (tptp.c_Equiv__Relations_Ocongruent @t591 @t380 @t19 @t281) @t339 @t592 (not (tptp.c_Equiv__Relations_Oequiv @t15 @t590 @t1))))) % 36.74/37.03 (assume @p539 (forall @t594 (= @t593 @t311))) % 36.74/37.03 (assume @p540 (forall @t111 (= @t440 @t500))) % 36.74/37.03 (assume @p541 (forall @t111 (= @t440 @t579))) % 36.74/37.03 (assume @p542 (forall @t594 (= @t311 @t593))) % 36.74/37.03 (assume @p543 (forall @t275 (or @t274 (not @t595)))) % 36.74/37.03 (assume @p544 (forall @t275 (or @t595 @t447))) % 36.74/37.03 (assume @p545 (forall @t386 (or @t243 @t355))) % 36.74/37.03 (assume @p546 (forall @t167 (or @t166 (tptp.c_in @t569 @t428 @t1) @t430))) % 36.74/37.03 (assume @p547 (forall @t14 (= (tptp.c_Transitive__Closure_Ortrancl @t509 @t1) @t176))) % 36.74/37.03 (assume @p548 (forall @t111 (= (tptp.c_Transitive__Closure_Ortrancl @t374 @t1) @t374))) % 36.74/37.03 (assume @p549 (forall @t568 (or @t567 (tptp.c_in (tptp.c_Pair @t589 @t2 @t1 @t1) @t107 @t171)))) % 36.74/37.03 (assume @p550 (forall @t599 (or @t598 @t430 @t597))) % 36.87/37.03 (assume @p551 (forall @t599 (or @t598 @t597 @t430))) % 36.87/37.03 (assume @p552 (forall @t602 (or @t344 @t601 (not (tptp.c_in (tptp.c_Pair @t600 @t570 tptp.t_a tptp.t_a) @t107 @t448)) @t538))) % 36.87/37.03 (assume @p553 (forall (@list @t2 @t9 @t1) (or @t604 @t603))) % 36.87/37.03 (assume @p554 (forall @t540 (or @t344 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t570 tptp.t_a tptp.t_a) @t107 @t448)) @t538))) % 36.87/37.03 (assume @p555 (forall (@list @t46 @t87 @t90 @t1 @t19 @t281 @t15) (or (tptp.c_in @t562 (tptp.c_Set_Oimage @t564 @t15 @t133 @t281) @t281) (not (tptp.c_in @t200 @t15 @t133))))) % 36.87/37.03 (assume @p556 (forall @t607 (or (tptp.c_in (tptp.c_Pair @t87 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t87 @t107 @t1 @t19) @t1 @t19) @t107 @t133) @t606))) % 36.87/37.03 (assume @p557 (forall @t602 (or @t344 @t601 (not (tptp.c_in (tptp.c_Pair @t600 @t539 tptp.t_a tptp.t_a) @t107 @t448)) @t538))) % 36.87/37.03 (assume @p558 (forall @t458 (or @t166 @t457 (not (tptp.c_in (tptp.c_Pair @t4 @t569 @t1 @t1) @t107 @t171)) @t430))) % 36.87/37.03 (assume @p559 (forall (@list @t4 @t35 @t1 @t107 @t38) (or @t505 (not (tptp.c_in (tptp.c_Pair @t4 @t586 @t1 @t1) @t107 @t171)) @t585 @t109))) % 36.87/37.03 (assume @p560 (forall @t607 (or (tptp.c_in (tptp.c_Pair @t87 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t87 @t107 @t1 @t19) @t1 @t19) @t107 @t133) @t606))) % 36.87/37.03 (assume @p561 (forall @t425 (or (tptp.c_in (tptp.c_Pair @t573 @t90 @t19 @t1) @t107 @t22) @t423))) % 36.87/37.03 (assume @p562 (forall @t550 (or @t251 @t551 @t604))) % 36.87/37.03 (assume @p563 (forall @t607 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t87 @t107 @t1 @t19) @t87 @t19 @t1) @t107 @t22) (not @t608)))) % 36.87/37.03 (assume @p564 (forall (@list @t3 @t127 @t19 @t281 @t1 @t87 @t90) (or (tptp.c_in @t3 (tptp.hAPP (tptp.c_split @t127 @t19 @t281 @t11) @t563) @t1) (not (tptp.c_in @t3 (tptp.hAPP (tptp.hAPP @t127 @t87) @t90) @t1))))) % 36.87/37.03 (assume @p565 (forall (@list @t46 @t610 @t613 @t609 @t612 @t19 @t591 @t1 @t590 @t281) (or (= (tptp.hAPP (tptp.hAPP @t46 @t610) @t613) (tptp.hAPP (tptp.hAPP @t46 @t609) @t612)) (not (tptp.c_in (tptp.c_Pair @t613 @t612 @t19 @t19) @t591 @t611)) (not (tptp.c_in (tptp.c_Pair @t610 @t609 @t1 @t1) @t590 @t171)) @t592))) % 36.87/37.03 (assume @p566 (forall (@list @t4 @t3 @t2 @t1 @t19 @t107) (or @t615 (not (tptp.c_in (tptp.c_Pair @t2 @t3 @t1 @t19) @t107 @t133)) (not (tptp.c_in @t614 @t107 @t133)) @t587))) % 36.87/37.03 (assume @p567 (forall (@list @t46 @t9 @t87 @t1 @t19 @t2) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t46 @t9 @t87 @t1 @t19) @t2) @t408) (not (tptp.c_in @t616 @t9 @t171))))) % 36.87/37.03 (assume @p568 (forall (@list @t46 @t107 @t87 @t1 @t19 @t2) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t46 @t107 @t87 @t1 @t19) @t2) @t408) @t617))) % 36.87/37.03 (assume @p569 (forall (@list @t9 @t2 @t4 @t1 @t19) (or @t619 (not @t618)))) % 36.87/37.03 (assume @p570 (forall (@list @t2 @t4 @t1 @t19 @t9) (or @t618 (not @t619)))) % 36.87/37.03 (assume @p571 (forall @t557 (or @t468 @t620 @t370 @t244))) % 36.87/37.03 (assume @p572 (forall @t547 (or (tptp.c_in @t545 @t107 @t171) @t548 @t371 @t244))) % 36.87/37.03 (assume @p573 (forall @t201 (or @t623 (not @t622)))) % 36.87/37.03 (assume @p574 (forall @t625 (or (tptp.c_in @t621 @t583 @t22) @t624))) % 36.87/37.03 (assume @p575 (forall @t625 (or @t622 (not @t623)))) % 36.87/37.03 (assume @p576 (forall @t464 (or @t463 @t504))) % 36.87/37.03 (assume @p577 (forall @t547 (or @t546 @t548 @t475))) % 36.87/37.03 (assume @p578 (forall @t547 (or @t546 @t626 @t371))) % 36.87/37.03 (assume @p579 (forall @t547 (or @t627 @t548 @t376))) % 36.87/37.03 (assume @p580 (forall @t547 (or @t627 @t544 @t371))) % 36.87/37.03 (assume @p581 (forall @t556 (or @t474 @t371))) % 36.87/37.03 (assume @p582 (forall @t547 (or @t627 @t544 @t376))) % 36.87/37.03 (assume @p583 (forall @t629 (tptp.c_in @t628 @t374 @t171))) % 36.87/37.03 (assume @p584 (forall (@list @t2 @t1 @t9) @t603)) % 36.87/37.03 (assume @p585 (forall (@list @t2 @t87 @t1 @t107) (or @t617 (not (tptp.c_in (tptp.c_Pair @t87 @t2 @t1 @t1) @t107 @t171)) @t109))) % 36.87/37.03 (assume @p586 (forall @t401 (or @t251 @t631 @t370 @t445))) % 36.87/37.03 (assume @p587 (forall @t556 (or @t122 (not @t632) @t371 @t445))) % 36.87/37.03 (assume @p588 (forall (@list @t46 @t4 @t3 @t1 @t107 @t19) (or (= @t633 (tptp.hAPP @t46 @t3)) @t620 (not (tptp.c_Equiv__Relations_Ocongruent @t107 @t46 @t1 @t19))))) % 36.87/37.03 (assume @p589 (forall (@list @t2 @t4 @t1 @t15) (or @t251 @t634))) % 36.87/37.03 (assume @p590 (forall (@list @t46 @t107 @t2 @t1 @t19 @t317 @t4) (or (not @t318) (= @t633 (tptp.hAPP @t317 @t4)) @t631))) % 36.87/37.03 (assume @p591 (forall (@list @t87 @t90 @t1) (or @t122 (not (tptp.c_in @t357 @t372 @t171))))) % 36.87/37.03 (assume @p592 (forall @t464 (or @t462 (not @t503)))) % 36.87/37.03 (assume @p593 (forall @t629 (or (not @t635) @t109))) % 36.87/37.03 (assume @p594 (forall (@list @t2 @t4 @t1 @t107 @t46 @t19) (or @t637 (not @t636)))) % 36.87/37.03 (assume @p595 (forall (@list @t46 @t2 @t4 @t19 @t107 @t1) (or @t636 (not @t637)))) % 36.87/37.03 (assume @p596 (forall @t399 (or @t630 @t370 @t203))) % 36.87/37.03 (assume @p597 (forall (@list @t90 @t87 @t1 @t107) (or @t632 @t371 @t203))) % 36.87/37.03 (assume @p598 (forall (@list @t87 @t127 @t1 @t281 @t107 @t204 @t19 @t90) (or (tptp.c_in (tptp.c_Pair @t87 @t127 @t1 @t281) @t498 @t283) (not (tptp.c_in (tptp.c_Pair @t90 @t127 @t19 @t281) @t204 @t495)) @t624))) % 36.87/37.03 (assume @p599 (forall (@list @t87 @t127 @t1 @t9 @t90) (or (tptp.c_in @t545 @t509 @t171) (not (tptp.c_in @t543 @t9 @t171)) (not (tptp.c_in @t357 @t9 @t171))))) % 36.87/37.03 (assume @p600 (forall @t547 (or @t546 @t626 @t475))) % 36.87/37.03 (assume @p601 (forall @t343 (tptp.c_in @t461 @t372 @t171))) % 36.87/37.03 (assume @p602 (forall @t346 (tptp.c_in @t628 @t372 @t171))) % 36.87/37.03 (assume @p603 (forall @t645 (or @t644 @t643 @t251 @t638))) % 36.87/37.03 (assume @p604 (forall @t645 (or @t644 @t643 @t615 @t638))) % 36.87/37.03 (assume @p605 (forall @t648 (not (tptp.c_in @t647 @t646 @t639)))) % 36.87/37.03 (assume @p606 (forall @t649 (not (tptp.c_in @t641 @t646 @t639)))) % 36.87/37.03 (assume @p607 (forall @t645 (or @t642 @t615 (not @t644)))) % 36.87/37.03 (assume @p608 (forall @t649 (or @t251 @t197 (tptp.c_in @t641 @t650 @t639)))) % 36.87/37.03 (assume @p609 (forall @t648 (not (tptp.c_in @t647 @t650 @t639)))) % 36.87/37.03 (assume @p610 (forall @t652 (not (tptp.c_in @t651 @t650 @t639)))) % 36.87/37.03 (assume @p611 (forall @t645 (or @t653 @t643 @t251 @t615))) % 36.87/37.03 (assume @p612 (forall @t645 (or @t653 @t643 @t638 @t615))) % 36.87/37.03 (assume @p613 (forall @t652 (or @t654 @t654 (tptp.c_in @t651 @t646 @t639)))) % 36.87/37.03 (assume @p614 (forall @t645 (or @t642 @t638 (not @t653)))) % 36.87/37.03 (assume @p615 (forall (@list @t87 @t90) (or (tptp.c_in @t655 (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t87 @t90) @t639) @t122))) % 36.87/37.03 (assume @p616 (forall (@list @t87 @t90 @t1 @t19 @t15 @t24) (or @t657 (not @t656) @t339))) % 36.87/37.03 (assume @p617 (forall (@list @t87 @t107 @t1 @t90) (or @t429 @t371 (not @t598)))) % 36.87/37.03 (assume @p618 (forall (@list @t4 @t107 @t1 @t87) (or (tptp.c_in @t4 @t428 @t1) (not (tptp.c_in (tptp.c_Pair @t4 @t87 @t1 @t1) @t107 @t171)) @t430))) % 36.87/37.03 (assume @p619 (forall (@list @t90 @t107 @t15 @t1 @t19 @t87) (or (tptp.c_in @t90 @t520 @t19) @t624 @t339))) % 36.87/37.03 (assume @p620 (forall (@list @t90 @t107 @t15 @t19 @t1 @t2) (or @t422 (not (tptp.c_in (tptp.c_Pair @t2 @t90 @t19 @t1) @t107 @t22)) @t517))) % 36.87/37.03 (assume @p621 (forall (@list @t2 @t15 @t1 @t4) (or @t143 @t634))) % 36.87/37.03 (assume @p622 (forall (@list @t2 @t1 @t15) (or (tptp.c_in @t461 @t442 @t171) @t156))) % 36.87/37.03 (assume @p623 (forall @t658 (or @t363 @t370 @t355))) % 36.87/37.03 (assume @p624 (forall @t659 (or @t143 @t370 @t355))) % 36.87/37.03 (assume @p625 (forall (@list @t87 @t107 @t19 @t1 @t2) (or @t608 (not (tptp.c_in (tptp.c_Pair @t2 @t87 @t19 @t1) @t107 @t22))))) % 36.87/37.03 (assume @p626 (forall (@list @t90 @t107 @t1 @t19 @t87) (or (tptp.c_in @t90 (tptp.c_Relation_ORange @t107 @t1 @t19) @t19) @t624))) % 36.87/37.03 (assume @p627 (forall (@list @t87 @t107 @t1 @t19 @t2) (or @t605 (not (tptp.c_in (tptp.c_Pair @t87 @t2 @t1 @t19) @t107 @t133))))) % 36.87/37.03 (assume @p628 (forall (@list @t87 @t107 @t1 @t19 @t90) (or @t605 @t624))) % 36.87/37.03 (assume @p629 (forall (@list @t90 @t24 @t87 @t19 @t1 @t15) (or @t656 @t660))) % 36.87/37.03 (assume @p630 (forall (@list @t87 @t15 @t1 @t90 @t19 @t24) (or @t268 @t660))) % 36.87/37.03 (assume @p631 (forall (@list @t38 @t2 @t1 @t107 @t15) (or (tptp.c_in (tptp.c_Pair @t38 @t2 @t1 @t1) @t107 @t171) (tptp.c_in (tptp.c_Pair @t2 @t38 @t1 @t1) @t107 @t171) (= @t2 @t38) (not (tptp.c_in @t38 @t15 @t1)) @t156 @t447))) % 36.87/37.03 (assume @p632 (forall (@list @t2 @t1 @t107 @t15) (or @t462 @t156 @t229))) % 36.87/37.03 (assume @p633 (forall @t658 (or @t363 @t370 @t229))) % 36.87/37.03 (assume @p634 (forall @t659 (or @t143 @t370 @t229))) % 36.87/37.03 (assume @p635 (forall (@list @t87 @t1 @t107 @t15) (or @t635 @t339 @t229))) % 36.87/37.03 (assume @p636 @t661) % 36.87/37.03 (assume @p637 (not @t662)) % 36.87/37.03 (assume @p638 (forall @t666 (or @t665 (= @t90 @t663)))) % 36.87/37.03 (assume @p639 (forall @t666 (or @t665 (= @t87 @t664)))) % 36.87/37.03 (assume @p640 @t676) % 36.87/37.03 (assume @p641 @t679) % 36.87/37.03 (assume @p642 (or @t685 @t684 @t681 @t680)) % 36.87/37.03 (assume @p643 (or @t683 @t686 @t681 @t680)) % 36.87/37.03 (assume @p644 (forall (@list @t2 @t20 @t1) (or @t688 (not @t687)))) % 36.87/37.03 (assume @p645 (forall (@list @t20 @t2 @t1) (or @t687 (not @t688)))) % 36.87/37.03 (assume @p646 (or @t689 @t685 @t684 @t681)) % 36.87/37.03 (assume @p647 (or @t689 @t683 @t686 @t681)) % 36.87/37.03 (assume @p648 @t691) % 36.87/37.03 (assume @p649 @t692) % 36.87/37.03 (assume @p650 @t706) % 36.87/37.03 (assume @p651 @t709) % 36.87/37.03 (assume @p652 @t710) % 36.87/37.03 (assume @p653 @t711) % 36.87/37.03 (assume @p654 @t681) % 36.87/37.03 (assume @p655 @t689) % 36.87/37.03 (assume @p656 @t712) % 36.87/37.03 (assume @p657 @t713) % 36.87/37.03 (assume @p658 (forall @t718 (or (tptp.class_Lattices_Oupper__semilattice @t717) @t715))) % 36.87/37.03 (assume @p659 (forall @t718 (or (tptp.class_Lattices_Olower__semilattice @t717) @t715))) % 36.87/37.03 (assume @p660 (forall @t718 (or (tptp.class_Lattices_Odistrib__lattice @t717) (not (tptp.class_Lattices_Odistrib__lattice @t714))))) % 36.87/37.03 (assume @p661 (forall @t718 (or (tptp.class_Lattices_Obounded__lattice @t717) (not (tptp.class_Lattices_Obounded__lattice @t714))))) % 36.87/37.03 (assume @p662 (forall @t718 (or (tptp.class_Lattices_Oboolean__algebra @t717) (not (tptp.class_Lattices_Oboolean__algebra @t714))))) % 36.87/37.03 (assume @p663 (forall @t718 (or (tptp.class_Orderings_Opreorder @t717) (not (tptp.class_Orderings_Opreorder @t714))))) % 36.87/37.03 (assume @p664 (forall @t718 (or (tptp.class_Lattices_Olattice @t717) @t715))) % 36.87/37.03 (assume @p665 (forall @t718 (or (tptp.class_Orderings_Oorder @t717) (not (tptp.class_Orderings_Oorder @t714))))) % 36.87/37.03 (assume @p666 (forall @t718 (or (tptp.class_Orderings_Obot @t717) (not (tptp.class_Orderings_Obot @t714))))) % 36.87/37.03 (assume @p667 (forall @t718 (or (tptp.class_HOL_Oord @t717) (not (tptp.class_HOL_Oord @t714))))) % 36.87/37.03 (assume @p668 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 36.87/37.03 (assume @p669 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 36.87/37.03 (assume @p670 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 36.87/37.03 (assume @p671 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 36.87/37.03 (assume @p672 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 36.87/37.03 (assume @p673 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 36.87/37.03 (assume @p674 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 36.87/37.03 (assume @p675 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 36.87/37.03 (assume @p676 (tptp.class_Orderings_Obot tptp.tc_bool)) % 36.87/37.03 (assume @p677 (tptp.class_HOL_Oord tptp.tc_bool)) % 36.87/37.03 (assume @p678 (forall @t343 (tptp.c_fequal @t2 @t2 @t1))) % 36.87/37.03 (assume @p679 (forall (@list @t720 @t719 @t1) (or (= @t720 @t719) (not (tptp.c_fequal @t720 @t719 @t1))))) % 36.87/37.03 (step @p680 :rule refl :args (@t639)) % 36.87/37.03 (step @p681 :rule refl :args (@t668)) % 36.87/37.03 (step @p682 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 36.87/37.03 (step @p683 :rule refl :args (tptp.v_a____)) % 36.87/37.03 (step @p684 :rule cong :premises (@p683 @p654 @p682 @p682) :args (@t669)) % 36.87/37.03 (step @p685 :rule cong :premises (@p684 @p681 @p680) :args (@t670)) % 36.87/37.03 (step @p686 :rule cong :premises (@p685) :args (@t671)) % 36.87/37.03 (step @p687 :rule refl :args (@t673)) % 36.87/37.03 (step @p688 :rule nary_cong :premises (@p687 @p686) :args (@t674)) % 36.87/37.03 (step @p689 :rule cong :premises (@p688) :args (@t676)) % 36.87/37.03 (step @p690 :rule eq_resolve :premises (@p640 @p689)) % 36.87/37.03 (step @p691 :rule instantiate :premises (@p690) :args (@t722)) % 36.87/37.03 (step @p692 :rule refl :args (@t677)) % 36.87/37.03 (step @p693 :rule nary_cong :premises (@p685 @p692) :args (@t678)) % 36.87/37.03 (step @p694 :rule cong :premises (@p693) :args (@t679)) % 36.87/37.03 (step @p695 :rule eq_resolve :premises (@p641 @p694)) % 36.87/37.03 (step @p696 :rule instantiate :premises (@p695) :args (@t722)) % 36.87/37.03 (step @p697 :rule cnf_or_pos :args (@t727)) % 36.87/37.03 (step @p698 :rule reordering :premises (@p697) :args ((or @t724 @t726 (not @t727)))) % 36.87/37.03 (step @p699 :rule eq-symm :args (tptp.v_a_H____ tptp.v_a____)) % 36.87/37.03 (step @p700 :rule cong :premises (@p699) :args ((not (= tptp.v_a_H____ tptp.v_a____)))) % 36.87/37.03 (step @p701 :rule cong :premises (@p654 @p683) :args (@t728)) % 36.87/37.03 (step @p702 :rule cong :premises (@p701) :args ((not @t728))) % 36.87/37.03 (step @p703 :rule trans :premises (@p702 @p700)) % 36.87/37.03 (step @p704 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 36.87/37.03 (step @p705 :rule cong :premises (@p704) :args (@t661)) % 36.87/37.03 (step @p706 :rule trans :premises (@p705 @p703)) % 36.87/37.03 (step @p707 :rule eq_resolve :premises (@p636 @p706)) % 36.87/37.03 (step @p708 :rule symm :premises (@p637)) % 36.87/37.03 (step @p709 :rule refl :args (@t685)) % 36.87/37.03 (step @p710 :rule refl :args (@t682)) % 36.87/37.03 (step @p711 :rule cong :premises (@p684 @p710 @p680) :args (@t683)) % 36.87/37.03 (step @p712 :rule nary_cong :premises (@p711 @p709) :args (@t713)) % 36.87/37.03 (step @p713 :rule eq_resolve :premises (@p657 @p712)) % 36.87/37.03 (step @p714 :rule reordering :premises (@p713) :args ((or @t685 @t729))) % 36.87/37.03 (step @p715 :rule refl :args (@t730)) % 36.87/37.03 (step @p716 :rule eq-symm :args (tptp.v_a_H____ tptp.v_b_H____)) % 36.87/37.03 (step @p717 :rule refl :args (@t680)) % 36.87/37.03 (step @p718 :rule refl :args (@t731)) % 36.87/37.03 (step @p719 :rule refl :args (@t732)) % 36.87/37.03 (step @p720 :rule refl :args (@t726)) % 36.87/37.03 (step @p721 :rule refl :args (@t723)) % 36.87/37.03 (step @p722 :rule refl :args (@t733)) % 36.87/37.03 (step @p723 :rule nary_cong :premises (@p709 @p722 @p721 @p720 @p719 @p718 @p717 @p716 @p715) :args (@t734)) % 36.87/37.03 (step @p724 :rule refl :args (@t711)) % 36.87/37.03 (step @p725 :rule cong :premises (@p724 @p723) :args ((=> @t711 @t734))) % 36.87/37.03 (assume-push @p786 @t711) % 36.87/37.03 (step @p727 :rule instantiate :premises (@p653) :args (@t735)) % 36.87/37.03 (step-pop @p787 :rule scope :premises (@p727)) % 36.87/37.03 (step @p728 :rule process_scope :premises (@p787) :args (@t734)) % 36.87/37.03 (step @p730 :rule eq_resolve :premises (@p728 @p725)) % 36.87/37.03 (step @p731 :rule implies_elim :premises (@p730)) % 36.87/37.03 (step @p732 :rule chain_m_resolution :premises (@p731 @p653) :args (@t737 @t738 (@list @t711))) % 36.87/37.03 (step @p733 :rule cnf_or_pos :args (@t737)) % 36.87/37.03 (step @p734 :rule reordering :premises (@p733) :args ((or @t685 @t680 @t736 @t730 @t733 @t732 @t731 @t723 @t726 (not @t737)))) % 36.87/37.03 (step @p735 :rule cnf_or_pos :args (@t740)) % 36.87/37.03 (step @p736 :rule reordering :premises (@p735) :args ((or @t723 @t739 (not @t740)))) % 36.87/37.03 (step @p737 :rule chain_m_resolution :premises (@p736 @p691 @p734 @p732 @p655 @p649 @p648 @p708 @p707 @p714) :args ((or @t685 @t723) (@list false false false true false false true true false) (@list @t740 @t726 @t737 @t680 @t692 @t691 @t736 @t730 @t729))) % 36.87/37.03 (step @p738 :rule refl :args (@t739)) % 36.87/37.03 (step @p739 :rule refl :args (@t724)) % 36.87/37.03 (step @p740 :rule nary_cong :premises (@p709 @p722 @p739 @p738 @p719 @p718 @p717 @p716 @p715) :args (@t741)) % 36.87/37.03 (step @p741 :rule refl :args (@t709)) % 36.87/37.03 (step @p742 :rule cong :premises (@p741 @p740) :args ((=> @t709 @t741))) % 36.87/37.03 (assume-push @p788 @t709) % 36.87/37.03 (step @p744 :rule instantiate :premises (@p651) :args (@t735)) % 36.87/37.03 (step-pop @p789 :rule scope :premises (@p744)) % 36.87/37.03 (step @p745 :rule process_scope :premises (@p789) :args (@t741)) % 36.87/37.03 (step @p747 :rule eq_resolve :premises (@p745 @p742)) % 36.87/37.03 (step @p748 :rule implies_elim :premises (@p747)) % 36.87/37.03 (step @p749 :rule chain_m_resolution :premises (@p748 @p651) :args (@t742 @t738 (@list @t709))) % 36.87/37.03 (step @p750 :rule cnf_or_pos :args (@t742)) % 36.87/37.03 (step @p751 :rule reordering :premises (@p750) :args ((or @t685 @t680 @t736 @t730 @t733 @t732 @t731 @t724 @t739 (not @t742)))) % 36.87/37.03 (step @p752 :rule chain_m_resolution :premises (@p698 @p696 @p751 @p749 @p655 @p649 @p648 @p708 @p707 @p737 @p714) :args (@t685 @t743 (@list @t727 @t726 @t742 @t680 @t692 @t691 @t736 @t730 @t723 @t729))) % 36.87/37.03 (step @p753 :rule cong :premises (@p711) :args (@t684)) % 36.87/37.03 (step @p754 :rule refl :args (@t686)) % 36.87/37.03 (step @p755 :rule nary_cong :premises (@p754 @p753) :args (@t712)) % 36.87/37.03 (step @p756 :rule eq_resolve :premises (@p656 @p755)) % 36.87/37.03 (step @p757 :rule chain_m_resolution :premises (@p756 @p752) :args (@t733 @t738 (@list @t685))) % 36.87/37.03 (step @p758 :rule refl :args (@t729)) % 36.87/37.03 (step @p759 :rule nary_cong :premises (@p758 @p754 @p739 @p738 @p719 @p718 @p717 @p716 @p715) :args (@t744)) % 36.87/37.03 (step @p760 :rule refl :args (@t706)) % 36.87/37.03 (step @p761 :rule cong :premises (@p760 @p759) :args ((=> @t706 @t744))) % 36.87/37.03 (assume-push @p790 @t706) % 36.87/37.03 (step @p763 :rule instantiate :premises (@p650) :args (@t745)) % 36.87/37.03 (step-pop @p791 :rule scope :premises (@p763)) % 36.87/37.03 (step @p764 :rule process_scope :premises (@p791) :args (@t744)) % 36.87/37.03 (step @p766 :rule eq_resolve :premises (@p764 @p761)) % 36.87/37.03 (step @p767 :rule implies_elim :premises (@p766)) % 36.87/37.03 (step @p768 :rule chain_m_resolution :premises (@p767 @p650) :args (@t746 @t738 (@list @t706))) % 36.87/37.03 (step @p769 :rule cnf_or_pos :args (@t746)) % 36.87/37.03 (step @p770 :rule reordering :premises (@p769) :args ((or @t680 @t686 @t736 @t730 @t729 @t732 @t731 @t724 @t739 (not @t746)))) % 36.87/37.03 (step @p771 :rule chain_m_resolution :premises (@p770 @p768 @p757 @p752 @p655 @p649 @p648 @p708 @p707 @p698 @p696) :args (@t724 @t743 (@list @t746 @t729 @t685 @t680 @t692 @t691 @t736 @t730 @t726 @t727))) % 36.87/37.03 (step @p772 :rule chain_m_resolution :premises (@p736 @p771 @p691) :args (@t739 @t747 (@list @t723 @t740))) % 36.87/37.03 (step @p773 :rule cnf_or_pos :args (@t748)) % 36.87/37.03 (step @p774 :rule reordering :premises (@p773) :args ((or @t680 @t686 @t736 @t730 @t729 @t732 @t731 @t723 @t726 @t749))) % 36.87/37.03 (step @p775 :rule chain_m_resolution :premises (@p774 @p655 @p752 @p708 @p707 @p757 @p648 @p649 @p771 @p772) :args (@t749 (@list true false true true true false false true true) (@list @t680 @t685 @t736 @t730 @t729 @t691 @t692 @t723 @t726))) % 36.87/37.03 (step @p776 :rule nary_cong :premises (@p758 @p754 @p721 @p720 @p719 @p718 @p717 @p716 @p715) :args (@t750)) % 36.87/37.03 (step @p777 :rule refl :args (@t710)) % 36.87/37.03 (step @p778 :rule cong :premises (@p777 @p776) :args ((=> @t710 @t750))) % 36.87/37.03 (assume-push @p792 @t710) % 36.87/37.03 (step @p780 :rule instantiate :premises (@p652) :args (@t745)) % 36.87/37.03 (step-pop @p793 :rule scope :premises (@p780)) % 36.87/37.03 (step @p781 :rule process_scope :premises (@p793) :args (@t750)) % 36.87/37.03 (step @p783 :rule eq_resolve :premises (@p781 @p778)) % 36.87/37.03 (step @p784 :rule implies_elim :premises (@p783)) % 36.87/37.03 (step @p785 false :rule chain_m_resolution :premises (@p784 @p775 @p652) :args (false @t747 (@list @t748 @t710))) % 36.87/37.03 ) % 36.87/37.03 % SZS output end Proof % 36.87/37.03 % cvc5 exiting %------------------------------------------------------------------------------