%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT033-1 : 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 : n011.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 08:46:12 AM UTC 2026 % Result : Unsatisfiable 34.14s 34.54s % Output : Proof 34.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT033-1 : 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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:18:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.09 --- Run --no-e-matching --full-saturate-quant at 6... % 21.97/22.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.03/28.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.03/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.14/34.54 % SZS status Unsatisfiable % 34.14/34.54 % SZS output start Proof % 34.14/34.56 ( % 34.14/34.56 (declare-sort $$unsorted 0) % 34.14/34.56 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.v_Q____ $$unsorted) % 34.14/34.56 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.t_b $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_b____ $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_P____ $$unsorted) % 34.14/34.56 (declare-const tptp.v_b_H____ $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_r $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_a____ $$unsorted) % 34.14/34.56 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 34.14/34.56 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.t_a $$unsorted) % 34.14/34.56 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.tc_bool $$unsorted) % 34.14/34.56 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_a_H____ $$unsorted) % 34.14/34.56 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_snd (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_fst (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.v_P_H____ (-> $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.14/34.56 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 34.14/34.56 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 34.14/34.56 (define @t1 () (@var "T_a" $$unsorted)) % 34.14/34.56 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 34.14/34.56 (define @t3 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 34.14/34.56 (define @t4 () (@var "T_b" $$unsorted)) % 34.14/34.56 (define @t5 () (tptp.tc_fun @t4 tptp.tc_bool)) % 34.14/34.56 (define @t6 () (tptp.c_Orderings_Obot__class_Obot @t5)) % 34.14/34.56 (define @t7 () (@var "V_R" $$unsorted)) % 34.14/34.56 (define @t8 () (@list @t7 @t4 @t1)) % 34.14/34.56 (define @t9 () (@var "V_B" $$unsorted)) % 34.14/34.56 (define @t10 () (@var "V_A" $$unsorted)) % 34.14/34.56 (define @t11 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t9 @t2)) % 34.14/34.56 (define @t12 () (@var "V_a" $$unsorted)) % 34.14/34.56 (define @t13 () (tptp.c_Set_Oinsert @t12 @t11 @t1)) % 34.14/34.56 (define @t14 () (tptp.c_Set_Oinsert @t12 @t9 @t1)) % 34.14/34.56 (define @t15 () (tptp.c_Set_Oinsert @t12 @t10 @t1)) % 34.14/34.56 (define @t16 () (@list @t12 @t10 @t1)) % 34.14/34.56 (define @t17 () (tptp.c_Set_Oinsert @t12 @t3 @t1)) % 34.14/34.56 (define @t18 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t17 @t2)) % 34.14/34.56 (define @t19 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t14 @t2)) % 34.14/34.56 (define @t20 () (@list @t10 @t12 @t9 @t1)) % 34.14/34.56 (define @t21 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t9 @t2)) % 34.14/34.56 (define @t22 () (@var "V_x" $$unsorted)) % 34.14/34.56 (define @t23 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 34.14/34.56 (define @t24 () (@list @t1 @t22)) % 34.14/34.56 (define @t25 () (tptp.tc_prod @t1 @t1)) % 34.14/34.56 (define @t26 () (tptp.tc_fun @t25 tptp.tc_bool)) % 34.14/34.56 (define @t27 () (tptp.c_Orderings_Obot__class_Obot @t26)) % 34.14/34.56 (define @t28 () (@list @t1 @t9)) % 34.14/34.56 (define @t29 () (@list @t1 @t10)) % 34.14/34.56 (define @t30 () (tptp.tc_prod @t1 @t4)) % 34.14/34.56 (define @t31 () (tptp.tc_fun @t30 tptp.tc_bool)) % 34.14/34.56 (define @t32 () (tptp.c_Orderings_Obot__class_Obot @t31)) % 34.14/34.56 (define @t33 () (@var "T_c" $$unsorted)) % 34.14/34.56 (define @t34 () (tptp.tc_prod @t33 @t4)) % 34.14/34.56 (define @t35 () (tptp.tc_fun @t34 tptp.tc_bool)) % 34.14/34.56 (define @t36 () (tptp.tc_prod @t1 @t33)) % 34.14/34.56 (define @t37 () (tptp.tc_fun @t36 tptp.tc_bool)) % 34.14/34.56 (define @t38 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t2)) % 34.14/34.56 (define @t39 () (@var "V_C" $$unsorted)) % 34.14/34.56 (define @t40 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t39 @t2)) % 34.14/34.56 (define @t41 () (@list @t12 @t9 @t1 @t39)) % 34.14/34.56 (define @t42 () (= @t10 @t6)) % 34.14/34.56 (define @t43 () (@var "V_f" $$unsorted)) % 34.14/34.56 (define @t44 () (tptp.c_Set_Oimage @t43 @t10 @t4 @t1)) % 34.14/34.56 (define @t45 () (@var "V_S" $$unsorted)) % 34.14/34.56 (define @t46 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t45 @t26)) % 34.14/34.56 (define @t47 () (tptp.c_Transitive__Closure_Ortrancl @t46 @t1)) % 34.14/34.56 (define @t48 () (tptp.c_Transitive__Closure_Ortrancl @t45 @t1)) % 34.14/34.56 (define @t49 () (tptp.c_Transitive__Closure_Ortrancl @t7 @t1)) % 34.14/34.56 (define @t50 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t48 @t26)) % 34.14/34.56 (define @t51 () (@list @t7 @t1 @t45)) % 34.14/34.56 (define @t52 () (@var "V_t" $$unsorted)) % 34.14/34.56 (define @t53 () (@var "V_s" $$unsorted)) % 34.14/34.56 (define @t54 () (tptp.c_fst @t1 @t4)) % 34.14/34.56 (define @t55 () (tptp.hAPP @t54 @t52)) % 34.14/34.56 (define @t56 () (tptp.c_snd @t1 @t4)) % 34.14/34.56 (define @t57 () (tptp.hAPP @t56 @t52)) % 34.14/34.56 (define @t58 () (@var "V_q" $$unsorted)) % 34.14/34.56 (define @t59 () (@var "V_p" $$unsorted)) % 34.14/34.56 (define @t60 () (tptp.hAPP @t54 @t59)) % 34.14/34.56 (define @t61 () (tptp.hAPP @t56 @t59)) % 34.14/34.56 (define @t62 () (@var "V_r" $$unsorted)) % 34.14/34.56 (define @t63 () (tptp.c_Wellfounded_Owf @t62 @t1)) % 34.14/34.56 (define @t64 () (not @t63)) % 34.14/34.56 (define @t65 () (@var "V_P" $$unsorted)) % 34.14/34.56 (define @t66 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t65 @t62 @t1)) % 34.14/34.56 (define @t67 () (tptp.hBOOL (tptp.hAPP @t65 @t12))) % 34.14/34.56 (define @t68 () (@list @t65 @t12 @t62 @t1)) % 34.14/34.56 (define @t69 () (tptp.tc_prod @t4 @t1)) % 34.14/34.56 (define @t70 () (tptp.tc_fun @t69 tptp.tc_bool)) % 34.14/34.56 (define @t71 () (tptp.c_Relation_ORange @t9 @t4 @t1)) % 34.14/34.56 (define @t72 () (tptp.c_Relation_ORange @t10 @t4 @t1)) % 34.14/34.56 (define @t73 () (tptp.c_lessequals @t10 @t9 @t2)) % 34.14/34.56 (define @t74 () (not @t73)) % 34.14/34.56 (define @t75 () (@var "V_b" $$unsorted)) % 34.14/34.56 (define @t76 () (tptp.c_Set_Oinsert @t75 @t9 @t1)) % 34.14/34.56 (define @t77 () (tptp.c_Set_Oinsert @t22 @t10 @t1)) % 34.14/34.56 (define @t78 () (tptp.c_lessequals @t77 @t9 @t2)) % 34.14/34.56 (define @t79 () (not @t78)) % 34.14/34.56 (define @t80 () (@list @t10 @t9 @t1 @t22)) % 34.14/34.56 (define @t81 () (tptp.c_in @t22 @t9 @t1)) % 34.14/34.56 (define @t82 () (not @t81)) % 34.14/34.56 (define @t83 () (tptp.c_HOL_Ominus__class_Ominus @t77 @t9 @t2)) % 34.14/34.56 (define @t84 () (@list @t22 @t10 @t1 @t9)) % 34.14/34.56 (define @t85 () (not (tptp.c_in @t22 @t39 @t1))) % 34.14/34.56 (define @t86 () (tptp.c_lessequals @t10 @t9 @t5)) % 34.14/34.56 (define @t87 () (tptp.c_COMBK @t39 @t2 @t4)) % 34.14/34.56 (define @t88 () (tptp.c_Product__Type_OSigma @t9 @t87 @t4 @t1)) % 34.14/34.56 (define @t89 () (tptp.c_Product__Type_OSigma @t10 @t87 @t4 @t1)) % 34.14/34.56 (define @t90 () (tptp.c_lessequals @t89 @t88 @t70)) % 34.14/34.56 (define @t91 () (@list @t10 @t39 @t1 @t4 @t9 @t22)) % 34.14/34.56 (define @t92 () (tptp.c_Set_Oinsert @t22 @t3 @t1)) % 34.14/34.56 (define @t93 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t10 @t92 @t2) @t9 @t2)) % 34.14/34.56 (define @t94 () (not @t93)) % 34.14/34.56 (define @t95 () (tptp.c_in @t22 @t10 @t1)) % 34.14/34.56 (define @t96 () (not @t95)) % 34.14/34.56 (define @t97 () (tptp.c_Set_Oinsert @t22 @t9 @t1)) % 34.14/34.56 (define @t98 () (tptp.c_lessequals @t10 @t97 @t2)) % 34.14/34.56 (define @t99 () (@list @t10 @t22 @t9 @t1)) % 34.14/34.56 (define @t100 () (not @t98)) % 34.14/34.56 (define @t101 () (@var "V_c" $$unsorted)) % 34.14/34.56 (define @t102 () (not (tptp.c_lessequals @t62 @t53 @t26))) % 34.14/34.56 (define @t103 () (tptp.c_Transitive__Closure_Otrancl @t62 @t1)) % 34.14/34.56 (define @t104 () (@list @t62 @t1 @t53)) % 34.14/34.56 (define @t105 () (@var "V_J" $$unsorted)) % 34.14/34.56 (define @t106 () (tptp.c_Product__Type_OSigma @t105 @t39 @t1 @t4)) % 34.14/34.56 (define @t107 () (@var "V_I" $$unsorted)) % 34.14/34.56 (define @t108 () (tptp.c_Product__Type_OSigma @t107 @t39 @t1 @t4)) % 34.14/34.56 (define @t109 () (@list @t107 @t105 @t1 @t39 @t4)) % 34.14/34.56 (define @t110 () (not (= @t11 @t3))) % 34.14/34.56 (define @t111 () (@list @t10 @t9 @t1)) % 34.14/34.56 (define @t112 () (tptp.c_Relation_ODomain @t9 @t1 @t4)) % 34.14/34.56 (define @t113 () (tptp.c_Relation_ODomain @t10 @t1 @t4)) % 34.14/34.56 (define @t114 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t10 @t2)) % 34.14/34.56 (define @t115 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t10 @t2)) % 34.14/34.56 (define @t116 () (@list @t9 @t39 @t1 @t10)) % 34.14/34.56 (define @t117 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t39 @t2)) % 34.14/34.56 (define @t118 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t40 @t2)) % 34.14/34.56 (define @t119 () (@list @t10 @t9 @t39 @t1)) % 34.14/34.56 (define @t120 () (@var "V_z" $$unsorted)) % 34.14/34.56 (define @t121 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t120 @t1)) % 34.14/34.56 (define @t122 () (@var "V_y" $$unsorted)) % 34.14/34.56 (define @t123 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t122 @t1)) % 34.14/34.56 (define @t124 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t121 @t1)) % 34.14/34.56 (define @t125 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t120 @t1)) % 34.14/34.56 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t125 @t1)) % 34.14/34.56 (define @t127 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 34.14/34.56 (define @t128 () (@list @t1 @t22 @t122 @t120)) % 34.14/34.56 (define @t129 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t22 @t1)) % 34.14/34.56 (define @t130 () (@list @t1 @t122 @t120 @t22)) % 34.14/34.56 (define @t131 () (tptp.c_Product__Type_OSigma @t10 (tptp.c_COMBK @t10 @t2 @t1) @t1 @t1)) % 34.14/34.56 (define @t132 () (tptp.c_Relation_OId__on @t10 @t1)) % 34.14/34.56 (define @t133 () (@list @t10 @t1)) % 34.14/34.56 (define @t134 () (tptp.c_Relation_Orefl__on @t10 @t62 @t1)) % 34.14/34.56 (define @t135 () (not @t134)) % 34.14/34.56 (define @t136 () (tptp.c_lessequals @t62 @t131 @t26)) % 34.14/34.56 (define @t137 () (@list @t62 @t10 @t1)) % 34.14/34.56 (define @t138 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 34.14/34.56 (define @t139 () (@var "V_r_H" $$unsorted)) % 34.14/34.56 (define @t140 () (not (tptp.c_lessequals @t139 @t62 @t31))) % 34.14/34.56 (define @t141 () (tptp.tc_prod @t4 @t33)) % 34.14/34.56 (define @t142 () (tptp.tc_fun @t141 tptp.tc_bool)) % 34.14/34.56 (define @t143 () (@var "V_s_H" $$unsorted)) % 34.14/34.56 (define @t144 () (tptp.c_Relation_Orel__comp @t62 @t53 @t1 @t4 @t33)) % 34.14/34.56 (define @t145 () (tptp.c_Relation_OImage @t7 @t10 @t4 @t1)) % 34.14/34.56 (define @t146 () (tptp.c_Relation_OImage @t7 @t9 @t4 @t1)) % 34.14/34.56 (define @t147 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t5)) % 34.14/34.56 (define @t148 () (@list @t7 @t10 @t9 @t4 @t1)) % 34.14/34.56 (define @t149 () (tptp.c_Wellfounded_Owf @t7 @t1)) % 34.14/34.56 (define @t150 () (not @t149)) % 34.14/34.56 (define @t151 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t65 @t7 @t1)) % 34.14/34.56 (define @t152 () (@var "V_Rb" $$unsorted)) % 34.14/34.56 (define @t153 () (tptp.c_Set_Oinsert @t122 @t10 @t1)) % 34.14/34.56 (define @t154 () (@var "V_Q" $$unsorted)) % 34.14/34.56 (define @t155 () (@var "V_xa" $$unsorted)) % 34.14/34.56 (define @t156 () (tptp.c_COMBK @t9 @t5 @t1)) % 34.14/34.56 (define @t157 () (not (tptp.c_lessequals @t62 (tptp.c_Product__Type_OSigma @t10 @t156 @t1 @t4) @t31))) % 34.14/34.56 (define @t158 () (tptp.c_HOL_Ominus__class_Ominus @t22 @t22 @t1)) % 34.14/34.56 (define @t159 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 34.14/34.56 (define @t160 () (@var "V_y_H" $$unsorted)) % 34.14/34.56 (define @t161 () (@var "V_x_H" $$unsorted)) % 34.14/34.56 (define @t162 () (tptp.c_HOL_Ominus__class_Ominus @t161 @t160 @t1)) % 34.14/34.56 (define @t163 () (tptp.c_Set_Oimage @t43 @t6 @t4 @t1)) % 34.14/34.56 (define @t164 () (tptp.c_Set_Oimage @t43 @t9 @t4 @t1)) % 34.14/34.56 (define @t165 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t39 @t2)) % 34.14/34.56 (define @t166 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t40 @t2)) % 34.14/34.56 (define @t167 () (@list @t10 @t9 @t1 @t39)) % 34.14/34.56 (define @t168 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t125 @t1)) % 34.14/34.56 (define @t169 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t122 @t1)) % 34.14/34.56 (define @t170 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t169 @t120 @t1) @t168)) % 34.14/34.56 (define @t171 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t120 @t1)) % 34.14/34.56 (define @t172 () (= @t168 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t171 @t1))) % 34.14/34.56 (define @t173 () (not (tptp.class_Lattices_Olattice @t1))) % 34.14/34.56 (define @t174 () (not (tptp.c_lessequals @t9 @t10 @t2))) % 34.14/34.56 (define @t175 () (tptp.c_lessequals @t22 @t122 @t1)) % 34.14/34.56 (define @t176 () (not @t175)) % 34.14/34.56 (define @t177 () (= @t123 @t22)) % 34.14/34.56 (define @t178 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 34.14/34.56 (define @t179 () (@list @t1 @t22 @t122)) % 34.14/34.56 (define @t180 () (tptp.c_lessequals @t122 @t22 @t1)) % 34.14/34.56 (define @t181 () (not @t180)) % 34.14/34.56 (define @t182 () (tptp.c_lessequals @t10 @t39 @t2)) % 34.14/34.56 (define @t183 () (not @t182)) % 34.14/34.56 (define @t184 () (tptp.c_lessequals @t9 @t39 @t2)) % 34.14/34.56 (define @t185 () (not @t184)) % 34.14/34.56 (define @t186 () (tptp.c_lessequals @t38 @t39 @t2)) % 34.14/34.56 (define @t187 () (@list @t9 @t10 @t1)) % 34.14/34.56 (define @t188 () (tptp.c_lessequals @t12 @t22 @t1)) % 34.14/34.56 (define @t189 () (not @t188)) % 34.14/34.56 (define @t190 () (tptp.c_lessequals @t75 @t22 @t1)) % 34.14/34.56 (define @t191 () (not @t190)) % 34.14/34.56 (define @t192 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t75 @t1)) % 34.14/34.56 (define @t193 () (tptp.c_lessequals @t192 @t22 @t1)) % 34.14/34.56 (define @t194 () (@list @t1 @t12 @t75 @t22)) % 34.14/34.56 (define @t195 () (tptp.c_lessequals @t22 @t169 @t1)) % 34.14/34.56 (define @t196 () (tptp.c_lessequals @t122 @t169 @t1)) % 34.14/34.56 (define @t197 () (@list @t1 @t122 @t22)) % 34.14/34.56 (define @t198 () (tptp.c_lessequals @t120 @t22 @t1)) % 34.14/34.56 (define @t199 () (tptp.c_lessequals @t22 @t120 @t1)) % 34.14/34.56 (define @t200 () (not @t199)) % 34.14/34.56 (define @t201 () (tptp.c_lessequals @t122 @t120 @t1)) % 34.14/34.56 (define @t202 () (not @t201)) % 34.14/34.56 (define @t203 () (tptp.c_lessequals @t169 @t120 @t1)) % 34.14/34.56 (define @t204 () (= @t123 @t129)) % 34.14/34.56 (define @t205 () (tptp.c_Wellfounded_Oacyclic @t62 @t1)) % 34.14/34.56 (define @t206 () (@list @t62 @t1)) % 34.14/34.56 (define @t207 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t10 @t2)) % 34.14/34.56 (define @t208 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t207 @t2)) % 34.14/34.56 (define @t209 () (not (tptp.c_Equiv__Relations_Oequiv @t10 @t62 @t1))) % 34.14/34.56 (define @t210 () (tptp.c_Pair @t12 @t75 @t1 @t1)) % 34.14/34.56 (define @t211 () (tptp.c_in @t210 @t62 @t25)) % 34.14/34.56 (define @t212 () (not @t211)) % 34.14/34.56 (define @t213 () (tptp.c_Set_Oinsert @t75 @t3 @t1)) % 34.14/34.56 (define @t214 () (tptp.c_Relation_OImage @t62 @t213 @t1 @t1)) % 34.14/34.56 (define @t215 () (tptp.c_Relation_OImage @t62 @t17 @t1 @t1)) % 34.14/34.56 (define @t216 () (@list @t62 @t12 @t1 @t75 @t10)) % 34.14/34.56 (define @t217 () (@list @t22 @t10 @t1)) % 34.14/34.56 (define @t218 () (tptp.hBOOL (tptp.hAPP @t153 @t22))) % 34.14/34.56 (define @t219 () (= @t122 @t22)) % 34.14/34.56 (define @t220 () (tptp.hBOOL (tptp.hAPP @t10 @t22))) % 34.14/34.56 (define @t221 () (tptp.c_Relation_ODomain @t62 @t1 @t4)) % 34.14/34.56 (define @t222 () (tptp.c_Pair @t12 @t75 @t1 @t4)) % 34.14/34.56 (define @t223 () (@list @t12 @t75 @t1 @t4 @t62)) % 34.14/34.56 (define @t224 () (tptp.c_Relation_Osym @t62 @t1)) % 34.14/34.56 (define @t225 () (not @t224)) % 34.14/34.56 (define @t226 () (not (tptp.c_Relation_Osym @t53 @t1))) % 34.14/34.56 (define @t227 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t53 @t26)) % 34.14/34.56 (define @t228 () (@list @t62 @t53 @t1)) % 34.14/34.56 (define @t229 () (tptp.c_Transitive__Closure_Ortrancl @t53 @t1)) % 34.14/34.56 (define @t230 () (tptp.c_Transitive__Closure_Ortrancl @t62 @t1)) % 34.14/34.56 (define @t231 () (tptp.c_lessequals @t230 @t229 @t26)) % 34.14/34.56 (define @t232 () (@list @t10 @t9 @t1 @t4)) % 34.14/34.56 (define @t233 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 34.14/34.56 (define @t234 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t9 @t5)) % 34.14/34.56 (define @t235 () (@list @t43 @t10 @t9 @t4 @t1)) % 34.14/34.56 (define @t236 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t145 @t146 @t2)) % 34.14/34.56 (define @t237 () (tptp.c_Relation_OImage @t7 @t234 @t4 @t1)) % 34.14/34.56 (define @t238 () (tptp.c_lessequals @t39 @t10 @t2)) % 34.14/34.56 (define @t239 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t39 @t2) @t118)) % 34.14/34.56 (define @t240 () (not @t238)) % 34.14/34.56 (define @t241 () (tptp.tc_fun @t33 tptp.tc_bool)) % 34.14/34.56 (define @t242 () (tptp.c_Wellfounded_Owf @t46 @t1)) % 34.14/34.56 (define @t243 () (@list @t7 @t45 @t1)) % 34.14/34.56 (define @t244 () (tptp.hBOOL (tptp.hAPP @t38 @t22))) % 34.14/34.56 (define @t245 () (tptp.hBOOL (tptp.hAPP @t9 @t22))) % 34.14/34.56 (define @t246 () (@list @t9 @t22 @t10 @t1)) % 34.14/34.56 (define @t247 () (not @t245)) % 34.14/34.56 (define @t248 () (not @t220)) % 34.14/34.56 (define @t249 () (tptp.c_Relation_ODomain @t62 @t1 @t1)) % 34.14/34.56 (define @t250 () (tptp.c_COMBK @t39 @t5 @t1)) % 34.14/34.56 (define @t251 () (tptp.c_Product__Type_OSigma @t9 @t250 @t1 @t4)) % 34.14/34.56 (define @t252 () (tptp.c_Product__Type_OSigma @t10 @t250 @t1 @t4)) % 34.14/34.56 (define @t253 () (@list @t10 @t9 @t1 @t39 @t4)) % 34.14/34.56 (define @t254 () (not (tptp.c_Relation_Orefl__on @t9 @t53 @t1))) % 34.14/34.56 (define @t255 () (@list @t10 @t9 @t1 @t62 @t53)) % 34.14/34.56 (define @t256 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t120 @t1)) % 34.14/34.56 (define @t257 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t256 @t1)) % 34.14/34.56 (define @t258 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t120 @t1) @t257)) % 34.14/34.56 (define @t259 () (= @t257 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t121 @t1))) % 34.14/34.56 (define @t260 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t39 @t2)) % 34.14/34.56 (define @t261 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t260 @t2)) % 34.14/34.56 (define @t262 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t75 @t9 @t4) @t5 @t1)) % 34.14/34.56 (define @t263 () (= @t10 @t3)) % 34.14/34.56 (define @t264 () (@list @t39 @t10 @t9 @t1)) % 34.14/34.56 (define @t265 () (tptp.c_HOL_Ominus__class_Ominus @t117 @t260 @t2)) % 34.14/34.56 (define @t266 () (tptp.c_COMBK @t101 @t1 @t4)) % 34.14/34.56 (define @t267 () (@var "V_D" $$unsorted)) % 34.14/34.56 (define @t268 () (@list @t10 @t9 @t1 @t39 @t267)) % 34.14/34.56 (define @t269 () (@list @t22 @t9 @t1 @t10)) % 34.14/34.56 (define @t270 () (tptp.c_Relation_Otrans @t62 @t1)) % 34.14/34.56 (define @t271 () (not @t270)) % 34.14/34.56 (define @t272 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t53 @t26)) % 34.14/34.56 (define @t273 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t169 @t171 @t1)) % 34.14/34.56 (define @t274 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t256 @t1)) % 34.14/34.56 (define @t275 () (@list @t10 @t39 @t1 @t9)) % 34.14/34.56 (define @t276 () (not (= (tptp.c_Relation_Orel__comp @t10 @t39 @t1 @t1 @t1) @t27))) % 34.14/34.56 (define @t277 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t65 @t62 @t1)) % 34.14/34.56 (define @t278 () (@var "V_xb" $$unsorted)) % 34.14/34.56 (define @t279 () (tptp.c_Relation_Oconverse @t62 @t1 @t1)) % 34.14/34.56 (define @t280 () (tptp.c_Wellfounded_Oacyclic @t279 @t1)) % 34.14/34.56 (define @t281 () (not @t205)) % 34.14/34.56 (define @t282 () (= @t10 @t9)) % 34.14/34.56 (define @t283 () (= @t22 @t122)) % 34.14/34.56 (define @t284 () (not (tptp.class_Orderings_Oorder @t1))) % 34.14/34.56 (define @t285 () (= @t169 @t122)) % 34.14/34.56 (define @t286 () (= @t38 @t9)) % 34.14/34.56 (define @t287 () (@list @t1)) % 34.14/34.56 (define @t288 () (tptp.c_Orderings_Obot__class_Obot @t70)) % 34.14/34.56 (define @t289 () (= @t12 @t101)) % 34.14/34.56 (define @t290 () (@var "V_d" $$unsorted)) % 34.14/34.56 (define @t291 () (= @t12 @t290)) % 34.14/34.56 (define @t292 () (not (= (tptp.c_Set_Oinsert @t12 @t213 @t1) (tptp.c_Set_Oinsert @t101 (tptp.c_Set_Oinsert @t290 @t3 @t1) @t1)))) % 34.14/34.56 (define @t293 () (@list @t12 @t75 @t1 @t101 @t290)) % 34.14/34.56 (define @t294 () (= @t75 @t101)) % 34.14/34.56 (define @t295 () (= @t75 @t290)) % 34.14/34.56 (define @t296 () (not @t136)) % 34.14/34.56 (define @t297 () (@list @t62 @t1 @t10)) % 34.14/34.56 (define @t298 () (tptp.c_in @t12 @t39 @t1)) % 34.14/34.56 (define @t299 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t39 @t2)) % 34.14/34.56 (define @t300 () (tptp.c_in @t12 @t10 @t1)) % 34.14/34.56 (define @t301 () (not @t300)) % 34.14/34.56 (define @t302 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t14 @t2)) % 34.14/34.56 (define @t303 () (tptp.hAPP @t43 @t12)) % 34.14/34.56 (define @t304 () (not (tptp.c_lessequals @t9 @t267 @t2))) % 34.14/34.56 (define @t305 () (tptp.c_Relation_Oconverse @t53 @t4 @t1)) % 34.14/34.56 (define @t306 () (tptp.c_Relation_Oconverse @t62 @t4 @t1)) % 34.14/34.56 (define @t307 () (@list @t62 @t53 @t4 @t1)) % 34.14/34.56 (define @t308 () (tptp.c_lessequals @t123 @t22 @t1)) % 34.14/34.56 (define @t309 () (tptp.c_lessequals @t123 @t122 @t1)) % 34.14/34.56 (define @t310 () (tptp.c_lessequals @t22 @t256 @t1)) % 34.14/34.56 (define @t311 () (tptp.c_lessequals @t22 @t12 @t1)) % 34.14/34.56 (define @t312 () (not @t311)) % 34.14/34.56 (define @t313 () (tptp.c_lessequals @t22 @t75 @t1)) % 34.14/34.56 (define @t314 () (not @t313)) % 34.14/34.56 (define @t315 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t75 @t1)) % 34.14/34.56 (define @t316 () (tptp.c_lessequals @t22 @t315 @t1)) % 34.14/34.56 (define @t317 () (@list @t1 @t22 @t12 @t75)) % 34.14/34.56 (define @t318 () (tptp.c_lessequals @t39 @t9 @t2)) % 34.14/34.56 (define @t319 () (tptp.c_lessequals @t39 @t11 @t2)) % 34.14/34.56 (define @t320 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t22 @t1)) % 34.14/34.56 (define @t321 () (tptp.c_Set_Oinsert @t12 @t18 @t1)) % 34.14/34.56 (define @t322 () (= @t12 @t75)) % 34.14/34.56 (define @t323 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t10 @t2)) % 34.14/34.56 (define @t324 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t10 @t62 @t1)) % 34.14/34.56 (define @t325 () (not @t324)) % 34.14/34.56 (define @t326 () (tptp.c_Relation_Ototal__on @t10 @t62 @t1)) % 34.14/34.56 (define @t327 () (@list @t10 @t62 @t1)) % 34.14/34.56 (define @t328 () (not (= @t38 @t3))) % 34.14/34.56 (define @t329 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t1) @t23))) % 34.14/34.56 (define @t330 () (@list @t1 @t10 @t9)) % 34.14/34.56 (define @t331 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t10 @t2)) % 34.14/34.56 (define @t332 () (@var "V_T" $$unsorted)) % 34.14/34.56 (define @t333 () (not @t319)) % 34.14/34.56 (define @t334 () (not @t316)) % 34.14/34.56 (define @t335 () (tptp.c_lessequals @t315 @t22 @t1)) % 34.14/34.56 (define @t336 () (not @t310)) % 34.14/34.56 (define @t337 () (@list @t1 @t22 @t120 @t122)) % 34.14/34.56 (define @t338 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t39 @t2)) % 34.14/34.56 (define @t339 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t39 @t2)) % 34.14/34.56 (define @t340 () (= @t169 @t320)) % 34.14/34.56 (define @t341 () (@var "V_R2" $$unsorted)) % 34.14/34.56 (define @t342 () (@var "V_R1" $$unsorted)) % 34.14/34.56 (define @t343 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t169 @t1) @t169)) % 34.14/34.56 (define @t344 () (@list @t62 @t1 @t4)) % 34.14/34.56 (define @t345 () (@list @t10 @t9 @t4 @t1)) % 34.14/34.56 (define @t346 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t65 @t62 @t1)) % 34.14/34.56 (define @t347 () (tptp.hBOOL (tptp.hAPP @t11 @t22))) % 34.14/34.56 (define @t348 () (not @t347)) % 34.14/34.56 (define @t349 () (tptp.c_Relation_ORange @t62 @t4 @t1)) % 34.14/34.56 (define @t350 () (tptp.c_Pair @t12 @t75 @t4 @t1)) % 34.14/34.56 (define @t351 () (@list @t12 @t75 @t4 @t1 @t62)) % 34.14/34.56 (define @t352 () (tptp.c_lessequals @t10 @t40 @t2)) % 34.14/34.56 (define @t353 () (tptp.c_lessequals @t21 @t39 @t2)) % 34.14/34.56 (define @t354 () (@var "V_g" $$unsorted)) % 34.14/34.56 (define @t355 () (= (tptp.c_Recdef_Ocut @t43 @t62 @t22 @t1 @t4) (tptp.c_Recdef_Ocut @t354 @t62 @t22 @t1 @t4))) % 34.14/34.56 (define @t356 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t43 @t354 @t62 @t22 @t1 @t4)) % 34.14/34.56 (define @t357 () (tptp.c_Pair @t122 @t22 @t1 @t1)) % 34.14/34.56 (define @t358 () (tptp.c_Set_Oinsert @t357 @t62 @t25)) % 34.14/34.56 (define @t359 () (tptp.c_Wellfounded_Oacyclic @t358 @t1)) % 34.14/34.56 (define @t360 () (not @t359)) % 34.14/34.56 (define @t361 () (@list @t62 @t1 @t122 @t22)) % 34.14/34.56 (define @t362 () (tptp.hAPP @t43 @t22)) % 34.14/34.56 (define @t363 () (tptp.c_in @t101 @t10 @t1)) % 34.14/34.56 (define @t364 () (not @t363)) % 34.14/34.56 (define @t365 () (tptp.c_in @t101 @t9 @t1)) % 34.14/34.56 (define @t366 () (not @t365)) % 34.14/34.56 (define @t367 () (tptp.c_in @t101 @t11 @t1)) % 34.14/34.56 (define @t368 () (@list @t101 @t10 @t9 @t1)) % 34.14/34.56 (define @t369 () (tptp.c_in @t12 (tptp.c_Set_Oinsert @t75 @t10 @t1) @t1)) % 34.14/34.56 (define @t370 () (@list @t101 @t9 @t1 @t10)) % 34.14/34.56 (define @t371 () (tptp.c_in @t101 @t38 @t1)) % 34.14/34.56 (define @t372 () (not (tptp.c_in @t22 @t3 @t1))) % 34.14/34.56 (define @t373 () (@list @t22 @t1)) % 34.14/34.56 (define @t374 () (tptp.hBOOL (tptp.hAPP @t65 @t22))) % 34.14/34.56 (define @t375 () (@list @t65 @t22 @t1)) % 34.14/34.56 (define @t376 () (@list @t12 @t1)) % 34.14/34.56 (define @t377 () (tptp.c_in @t101 @t21 @t1)) % 34.14/34.56 (define @t378 () (not @t377)) % 34.14/34.56 (define @t379 () (@list @t101 @t10 @t1 @t9)) % 34.14/34.56 (define @t380 () (not @t367)) % 34.14/34.56 (define @t381 () (not @t374)) % 34.14/34.56 (define @t382 () (tptp.c_Pair @t22 @t122 @t1 @t4)) % 34.14/34.56 (define @t383 () (tptp.c_snd @t4 @t1)) % 34.14/34.56 (define @t384 () (tptp.c_Pair @t22 @t122 @t4 @t1)) % 34.14/34.56 (define @t385 () (tptp.hAPP @t383 @t384)) % 34.14/34.56 (define @t386 () (not (tptp.hBOOL (tptp.hAPP @t65 @t59)))) % 34.14/34.56 (define @t387 () (not (tptp.hBOOL (tptp.hAPP @t154 @t58)))) % 34.14/34.56 (define @t388 () (tptp.c_Pair @t59 @t58 @t1 @t4)) % 34.14/34.56 (define @t389 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t123 @t1) @t123)) % 34.14/34.56 (define @t390 () (not @t203)) % 34.14/34.56 (define @t391 () (tptp.c_lessequals @t22 @t192 @t1)) % 34.14/34.56 (define @t392 () (not @t193)) % 34.14/34.56 (define @t393 () (not @t186)) % 34.14/34.56 (define @t394 () (not (tptp.class_Orderings_Opreorder @t1))) % 34.14/34.56 (define @t395 () (not (tptp.c_lessequals @t65 @t154 @t2))) % 34.14/34.56 (define @t396 () (tptp.hBOOL (tptp.hAPP @t154 @t22))) % 34.14/34.56 (define @t397 () (@list @t154 @t22 @t65 @t1)) % 34.14/34.56 (define @t398 () (tptp.c_lessequals @t22 @t22 @t1)) % 34.14/34.56 (define @t399 () (tptp.c_Relation_Oantisym @t62 @t1)) % 34.14/34.56 (define @t400 () (not (tptp.c_lessequals @t62 @t53 @t31))) % 34.14/34.56 (define @t401 () (tptp.c_Relation_Osingle__valued @t62 @t1 @t4)) % 34.14/34.56 (define @t402 () (@list @t62 @t1 @t4 @t53)) % 34.14/34.56 (define @t403 () (tptp.c_lessequals @t160 @t161 @t1)) % 34.14/34.56 (define @t404 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t22 @t122 @t1) @t162))) % 34.14/34.56 (define @t405 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 34.14/34.56 (define @t406 () (@list @t1 @t22 @t122 @t161 @t160)) % 34.14/34.56 (define @t407 () (tptp.c_Set_Oimage @t43 @t10 @t1 @t4)) % 34.14/34.56 (define @t408 () (@list @t22 @t10 @t4 @t43 @t1)) % 34.14/34.56 (define @t409 () (tptp.hAPP @t65 @t122)) % 34.14/34.56 (define @t410 () (@list @t62 @t4 @t1)) % 34.14/34.56 (define @t411 () (@var "V_A_H" $$unsorted)) % 34.14/34.56 (define @t412 () (tptp.c_Relation_OImage @t62 @t10 @t1 @t4)) % 34.14/34.56 (define @t413 () (tptp.c_Relation_Oirrefl @t62 @t1)) % 34.14/34.56 (define @t414 () (tptp.c_Pair @t22 @t122 @t1 @t1)) % 34.14/34.56 (define @t415 () (tptp.c_in @t414 @t230 @t25)) % 34.14/34.56 (define @t416 () (@list @t122 @t22 @t1 @t62)) % 34.14/34.56 (define @t417 () (not @t415)) % 34.14/34.56 (define @t418 () (@list @t22 @t122 @t1 @t62)) % 34.14/34.56 (define @t419 () (tptp.c_in @t210 @t230 @t25)) % 34.14/34.56 (define @t420 () (not @t419)) % 34.14/34.56 (define @t421 () (tptp.hBOOL (tptp.hAPP @t65 @t75))) % 34.14/34.56 (define @t422 () (not @t421)) % 34.14/34.56 (define @t423 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t65 @t75 @t62 @t1)) % 34.14/34.56 (define @t424 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t65 @t75 @t62 @t1)) % 34.14/34.56 (define @t425 () (@list @t65 @t12 @t75 @t62 @t1)) % 34.14/34.56 (define @t426 () (not @t67)) % 34.14/34.56 (define @t427 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t65 @t12 @t62 @t1)) % 34.14/34.56 (define @t428 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t65 @t12 @t62 @t1)) % 34.14/34.56 (define @t429 () (@list @t65 @t75 @t12 @t62 @t1)) % 34.14/34.56 (define @t430 () (tptp.c_Relation_OId @t1)) % 34.14/34.56 (define @t431 () (not (tptp.c_in @t75 @t10 @t1))) % 34.14/34.56 (define @t432 () (@list @t43 @t22 @t10 @t1 @t4)) % 34.14/34.56 (define @t433 () (not (tptp.c_in @t22 @t10 @t4))) % 34.14/34.56 (define @t434 () (tptp.c_in @t75 (tptp.c_Relation_OImage @t62 (tptp.c_Set_Oinsert @t12 @t6 @t4) @t4 @t1) @t1)) % 34.14/34.56 (define @t435 () (tptp.c_in @t350 @t62 @t69)) % 34.14/34.56 (define @t436 () (tptp.c_Wellfounded_Owf @t358 @t1)) % 34.14/34.56 (define @t437 () (not @t436)) % 34.14/34.56 (define @t438 () (tptp.c_in @t75 (tptp.c_Relation_OImage @t62 @t10 @t4 @t1) @t1)) % 34.14/34.56 (define @t439 () (not @t438)) % 34.14/34.56 (define @t440 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t10 @t75 @t62 @t4 @t1)) % 34.14/34.56 (define @t441 () (@list @t10 @t75 @t62 @t4 @t1)) % 34.14/34.56 (define @t442 () (tptp.c_in @t22 @t47 @t25)) % 34.14/34.56 (define @t443 () (@list @t22 @t7 @t45 @t1)) % 34.14/34.56 (define @t444 () (tptp.c_in @t59 @t103 @t25)) % 34.14/34.56 (define @t445 () (= @t215 @t214)) % 34.14/34.56 (define @t446 () (tptp.c_in @t414 @t62 @t25)) % 34.14/34.56 (define @t447 () (not @t446)) % 34.14/34.56 (define @t448 () (= (tptp.c_Relation_OImage @t62 @t92 @t1 @t1) (tptp.c_Relation_OImage @t62 (tptp.c_Set_Oinsert @t122 @t3 @t1) @t1 @t1))) % 34.14/34.56 (define @t449 () (@list @t62 @t22 @t1 @t122 @t10)) % 34.14/34.56 (define @t450 () (tptp.c_Relation_Orel__comp @t7 @t7 @t1 @t1 @t1)) % 34.14/34.56 (define @t451 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t450 (tptp.c_Relation_Orel__comp @t45 @t7 @t1 @t1 @t1) @t26) @t45 @t26) @t1)) % 34.14/34.56 (define @t452 () (@list @t7 @t1)) % 34.14/34.56 (define @t453 () (tptp.c_HOL_Ominus__class_Ominus @t62 @t430 @t26)) % 34.14/34.56 (define @t454 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t430 @t26)) % 34.14/34.56 (define @t455 () (tptp.c_Relation_Oantisym @t454 @t1)) % 34.14/34.56 (define @t456 () (not @t399)) % 34.14/34.56 (define @t457 () (tptp.c_Relation_Ototal__on @t10 @t453 @t1)) % 34.14/34.56 (define @t458 () (not @t326)) % 34.14/34.56 (define @t459 () (tptp.c_Relation_Orel__comp @t279 @t62 @t1 @t1 @t1)) % 34.14/34.56 (define @t460 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t461 () (@var "V_i" $$unsorted)) % 34.14/34.56 (define @t462 () (tptp.c_in (tptp.c_Pair tptp.v_a_H____ tptp.v_b_H____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_P_H____ @t461) @t460)) % 34.14/34.56 (define @t463 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t464 () (tptp.c_in @t463 (tptp.hAPP tptp.v_P____ @t461) @t460)) % 34.14/34.56 (define @t465 () (@list @t461)) % 34.14/34.56 (define @t466 () (not @t464)) % 34.14/34.56 (define @t467 () (tptp.c_Transitive__Closure_Otrancl @t7 @t1)) % 34.14/34.56 (define @t468 () (tptp.c_in @t414 @t467 @t25)) % 34.14/34.56 (define @t469 () (not @t468)) % 34.14/34.56 (define @t470 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t7 @t22 @t122 @t1)) % 34.14/34.56 (define @t471 () (@list @t22 @t7 @t122 @t1)) % 34.14/34.56 (define @t472 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t7 @t22 @t122 @t1)) % 34.14/34.56 (define @t473 () (@list @t7 @t22 @t122 @t1)) % 34.14/34.56 (define @t474 () (not @t413)) % 34.14/34.56 (define @t475 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t62 @t1)) % 34.14/34.56 (define @t476 () (tptp.c_Nitpick_Orefl_H @t62 @t1)) % 34.14/34.56 (define @t477 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t62 @t1)) % 34.14/34.56 (define @t478 () (tptp.c_Relation_Orel__comp @t230 @t62 @t1 @t1 @t1)) % 34.14/34.56 (define @t479 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t103 @t430 @t26)) % 34.14/34.56 (define @t480 () (not (tptp.c_in @t101 @t132 @t25))) % 34.14/34.56 (define @t481 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t10 @t101 @t1)) % 34.14/34.56 (define @t482 () (tptp.c_Wellfounded_Oacc @t62 @t1)) % 34.14/34.56 (define @t483 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t59 @t1)) % 34.14/34.56 (define @t484 () (not (tptp.c_in (tptp.c_Pair @t12 @t101 @t1 @t4) (tptp.c_Relation_Orel__comp @t62 @t53 @t1 @t33 @t4) @t30))) % 34.14/34.56 (define @t485 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t12 @t101 @t62 @t53 @t1 @t4 @t33)) % 34.14/34.56 (define @t486 () (@list @t12 @t101 @t62 @t53 @t1 @t4 @t33)) % 34.14/34.56 (define @t487 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t62 @t1)) % 34.14/34.56 (define @t488 () (tptp.c_Pair @t22 @t22 @t1 @t1)) % 34.14/34.56 (define @t489 () (tptp.c_in @t488 @t62 @t25)) % 34.14/34.56 (define @t490 () (not @t489)) % 34.14/34.56 (define @t491 () (@list @t22 @t1 @t62)) % 34.14/34.56 (define @t492 () (tptp.c_Pair @t22 @t120 @t1 @t1)) % 34.14/34.56 (define @t493 () (tptp.c_in @t492 @t103 @t25)) % 34.14/34.56 (define @t494 () (not @t493)) % 34.14/34.56 (define @t495 () (tptp.c_in @t492 @t62 @t25)) % 34.14/34.56 (define @t496 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t62 @t22 @t120 @t1)) % 34.14/34.56 (define @t497 () (@list @t62 @t22 @t120 @t1)) % 34.14/34.56 (define @t498 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 34.14/34.56 (define @t499 () (tptp.c_Transitive__Closure_Otrancl @t62 tptp.t_a)) % 34.14/34.56 (define @t500 () (@var "V_a2" $$unsorted)) % 34.14/34.56 (define @t501 () (@var "V_a1" $$unsorted)) % 34.14/34.56 (define @t502 () (tptp.c_Pair @t501 @t500 tptp.t_a tptp.t_a)) % 34.14/34.56 (define @t503 () (not (tptp.c_in @t502 @t499 @t498))) % 34.14/34.56 (define @t504 () (tptp.c_in @t502 @t62 @t498)) % 34.14/34.56 (define @t505 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t501 @t500 @t62)) % 34.14/34.56 (define @t506 () (@list @t501 @t500 @t62)) % 34.14/34.56 (define @t507 () (not (tptp.c_in @t488 @t103 @t25))) % 34.14/34.56 (define @t508 () (tptp.c_in @t210 @t103 @t25)) % 34.14/34.56 (define @t509 () (not @t508)) % 34.14/34.56 (define @t510 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t12 @t75 @t62 @t1)) % 34.14/34.56 (define @t511 () (@list @t12 @t75 @t62 @t1)) % 34.14/34.56 (define @t512 () (@list @t22 @t62 @t120 @t1)) % 34.14/34.56 (define @t513 () (tptp.hBOOL @t409)) % 34.14/34.56 (define @t514 () (@list @t65 @t12 @t122 @t62 @t1)) % 34.14/34.56 (define @t515 () (@var "V_Ra" $$unsorted)) % 34.14/34.56 (define @t516 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t12 @t75 @t62 @t1)) % 34.14/34.56 (define @t517 () (not (tptp.c_in @t492 @t230 @t25))) % 34.14/34.56 (define @t518 () (= @t22 @t120)) % 34.14/34.56 (define @t519 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t62 @t22 @t120 @t1)) % 34.14/34.56 (define @t520 () (tptp.c_Transitive__Closure_Ortrancl @t62 tptp.t_a)) % 34.14/34.56 (define @t521 () (not (tptp.c_in @t502 @t520 @t498))) % 34.14/34.56 (define @t522 () (= @t500 @t501)) % 34.14/34.56 (define @t523 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t501 @t500 @t62)) % 34.14/34.56 (define @t524 () (tptp.c_Product__Type_OSigma @t10 @t9 @t1 @t4)) % 34.14/34.56 (define @t525 () (tptp.c_in @t122 @t10 @t1)) % 34.14/34.56 (define @t526 () (not @t525)) % 34.14/34.56 (define @t527 () (not @t448)) % 34.14/34.56 (define @t528 () (not (tptp.c_in @t59 @t62 @t25))) % 34.14/34.56 (define @t529 () (@list @t59 @t62 @t1)) % 34.14/34.56 (define @t530 () (tptp.c_Pair @t75 @t101 @t1 @t1)) % 34.14/34.56 (define @t531 () (not (tptp.c_in @t530 @t230 @t25))) % 34.14/34.56 (define @t532 () (tptp.c_Pair @t12 @t101 @t1 @t1)) % 34.14/34.56 (define @t533 () (tptp.c_in @t532 @t103 @t25)) % 34.14/34.56 (define @t534 () (@list @t12 @t101 @t1 @t62 @t75)) % 34.14/34.56 (define @t535 () (not (tptp.c_in @t530 @t62 @t25))) % 34.14/34.56 (define @t536 () (tptp.c_in @t414 @t49 @t25)) % 34.14/34.56 (define @t537 () (@list @t22 @t122 @t1 @t7)) % 34.14/34.56 (define @t538 () (not @t536)) % 34.14/34.56 (define @t539 () (tptp.c_in @t357 @t230 @t25)) % 34.14/34.56 (define @t540 () (tptp.c_Transitive__Closure_Ortrancl @t279 @t1)) % 34.14/34.56 (define @t541 () (tptp.c_in @t414 @t540 @t25)) % 34.14/34.56 (define @t542 () (tptp.c_Pair @t122 @t120 @t1 @t1)) % 34.14/34.56 (define @t543 () (@list @t12 @t75 @t1 @t62)) % 34.14/34.56 (define @t544 () (@list @t22 @t120 @t1 @t62 @t122)) % 34.14/34.56 (define @t545 () (tptp.c_Transitive__Closure_Otrancl @t279 @t1)) % 34.14/34.56 (define @t546 () (tptp.c_in @t414 @t545 @t25)) % 34.14/34.56 (define @t547 () (tptp.c_Relation_Oconverse @t103 @t1 @t1)) % 34.14/34.56 (define @t548 () (tptp.c_in @t414 @t547 @t25)) % 34.14/34.56 (define @t549 () (tptp.hAPP @t303 @t75)) % 34.14/34.56 (define @t550 () (tptp.c_Pair @t12 @t75 @t4 @t33)) % 34.14/34.56 (define @t551 () (tptp.c_split @t43 @t1 @t4 @t33)) % 34.14/34.56 (define @t552 () (tptp.c_in @t362 @t44 @t1)) % 34.14/34.56 (define @t553 () (@var "T_aa" $$unsorted)) % 34.14/34.56 (define @t554 () (tptp.c_in @t22 @t482 @t1)) % 34.14/34.56 (define @t555 () (@list @t22 @t62 @t1)) % 34.14/34.56 (define @t556 () (tptp.c_in @t12 @t482 @t1)) % 34.14/34.56 (define @t557 () (not @t556)) % 34.14/34.56 (define @t558 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t65 @t62 @t1)) % 34.14/34.56 (define @t559 () (tptp.c_Wellfounded_Oacc @t62 tptp.t_a)) % 34.14/34.56 (define @t560 () (not (tptp.c_in @t22 @t559 tptp.t_a))) % 34.14/34.56 (define @t561 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t65 @t62)) % 34.14/34.56 (define @t562 () (@list @t65 @t22 @t62)) % 34.14/34.56 (define @t563 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t65 @t62 @t1)) % 34.14/34.56 (define @t564 () (tptp.c_Relation_Osym @t279 @t1)) % 34.14/34.56 (define @t565 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t10 @t75 @t62 @t4 @t1)) % 34.14/34.56 (define @t566 () (tptp.c_Wellfounded_Oacc @t7 @t1)) % 34.14/34.56 (define @t567 () (tptp.c_in @t22 @t566 @t1)) % 34.14/34.56 (define @t568 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t7 @t22 @t1)) % 34.14/34.56 (define @t569 () (@list @t7 @t22 @t1)) % 34.14/34.56 (define @t570 () (tptp.c_Relation_Orefl__on @t10 @t279 @t1)) % 34.14/34.56 (define @t571 () (tptp.c_Wellfounded_Owf @t450 @t1)) % 34.14/34.56 (define @t572 () (= @t279 @t62)) % 34.14/34.56 (define @t573 () (tptp.c_Relation_Oinv__image @t62 @t43 @t1 @t4)) % 34.14/34.56 (define @t574 () (@list @t62 @t43 @t1 @t4)) % 34.14/34.56 (define @t575 () (tptp.c_Relation_Orel__comp @t62 @t230 @t1 @t1 @t1)) % 34.14/34.56 (define @t576 () (tptp.c_Relation_Otrans @t279 @t1)) % 34.14/34.56 (define @t577 () (@var "T_d" $$unsorted)) % 34.14/34.56 (define @t578 () (= @t459 @t62)) % 34.14/34.56 (define @t579 () (tptp.c_Relation_Oconverse @t62 @t1 @t4)) % 34.14/34.56 (define @t580 () (not (tptp.c_in @t155 @t154 @t1))) % 34.14/34.56 (define @t581 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t154 @t62 @t1)) % 34.14/34.56 (define @t582 () (not @t401)) % 34.14/34.56 (define @t583 () (tptp.c_Relation_Oantisym @t279 @t1)) % 34.14/34.56 (define @t584 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t65 @t62)) % 34.14/34.56 (define @t585 () (not (tptp.c_in @t22 @t154 @t1))) % 34.14/34.56 (define @t586 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t154 @t7 @t1)) % 34.14/34.56 (define @t587 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t62 @t22 @t1)) % 34.14/34.56 (define @t588 () (@var "V_r1" $$unsorted)) % 34.14/34.56 (define @t589 () (@var "V_r2" $$unsorted)) % 34.14/34.56 (define @t590 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t588 @t589 @t43 @t1 @t4 @t33))) % 34.14/34.56 (define @t591 () (tptp.c_Relation_ODomain @t306 @t1 @t4)) % 34.14/34.56 (define @t592 () (tptp.c_Relation_Ototal__on @t10 @t279 @t1)) % 34.14/34.56 (define @t593 () (@list @t65 @t22 @t122 @t62)) % 34.14/34.56 (define @t594 () (not (tptp.c_in @t122 @t154 @t1))) % 34.14/34.56 (define @t595 () (tptp.c_Pair @t75 @t12 @t1 @t1)) % 34.14/34.56 (define @t596 () (not (tptp.c_in @t595 @t230 @t25))) % 34.14/34.56 (define @t597 () (tptp.c_in @t75 @t482 @t1)) % 34.14/34.56 (define @t598 () (@list @t75 @t62 @t1 @t12)) % 34.14/34.56 (define @t599 () (@var "V_ya" $$unsorted)) % 34.14/34.56 (define @t600 () (tptp.c_in @t599 @t559 tptp.t_a)) % 34.14/34.56 (define @t601 () (@list @t65 @t22 @t599 @t62)) % 34.14/34.56 (define @t602 () (tptp.c_in @t488 @t49 @t25)) % 34.14/34.56 (define @t603 () (tptp.c_in @t22 (tptp.c_Relation_ODomain @t7 @t1 @t1) @t1)) % 34.14/34.56 (define @t604 () (tptp.c_in @t12 @t221 @t1)) % 34.14/34.56 (define @t605 () (not @t604)) % 34.14/34.56 (define @t606 () (@list @t12 @t62 @t1 @t4)) % 34.14/34.56 (define @t607 () (tptp.c_in @t12 @t349 @t1)) % 34.14/34.56 (define @t608 () (@var "V_z1" $$unsorted)) % 34.14/34.56 (define @t609 () (@var "V_y1" $$unsorted)) % 34.14/34.56 (define @t610 () (tptp.tc_prod @t4 @t4)) % 34.14/34.56 (define @t611 () (@var "V_z2" $$unsorted)) % 34.14/34.56 (define @t612 () (@var "V_y2" $$unsorted)) % 34.14/34.56 (define @t613 () (= @t122 @t120)) % 34.14/34.56 (define @t614 () (tptp.c_Pair @t22 @t12 @t1 @t1)) % 34.14/34.56 (define @t615 () (not (tptp.c_in @t614 @t62 @t25))) % 34.14/34.56 (define @t616 () (tptp.c_in @t382 @t7 @t30)) % 34.14/34.56 (define @t617 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t7 @t1 @t4) @t22) @t122))) % 34.14/34.56 (define @t618 () (not (tptp.c_in @t542 @t62 @t25))) % 34.14/34.56 (define @t619 () (tptp.c_Pair @t75 @t12 @t4 @t1)) % 34.14/34.56 (define @t620 () (tptp.c_in @t619 @t62 @t69)) % 34.14/34.56 (define @t621 () (tptp.c_in @t222 @t306 @t30)) % 34.14/34.56 (define @t622 () (not (tptp.c_in @t222 @t62 @t30))) % 34.14/34.56 (define @t623 () (@list @t75 @t12 @t4 @t1 @t62)) % 34.14/34.56 (define @t624 () (not (tptp.c_in @t530 @t103 @t25))) % 34.14/34.56 (define @t625 () (tptp.c_in @t532 @t230 @t25)) % 34.14/34.56 (define @t626 () (tptp.c_Pair @t12 @t12 @t1 @t1)) % 34.14/34.56 (define @t627 () (@list @t12 @t1 @t62)) % 34.14/34.56 (define @t628 () (tptp.c_in @t357 @t62 @t25)) % 34.14/34.56 (define @t629 () (not @t628)) % 34.14/34.56 (define @t630 () (tptp.c_in @t595 @t62 @t25)) % 34.14/34.56 (define @t631 () (tptp.hAPP @t43 @t122)) % 34.14/34.56 (define @t632 () (not (tptp.c_in @t414 @t132 @t25))) % 34.14/34.56 (define @t633 () (tptp.c_in @t626 @t62 @t25)) % 34.14/34.56 (define @t634 () (tptp.c_in (tptp.c_Pair @t362 @t631 @t4 @t4) @t62 @t610)) % 34.14/34.56 (define @t635 () (tptp.c_in @t414 (tptp.c_Relation_Oinv__image @t62 @t43 @t4 @t1) @t25)) % 34.14/34.56 (define @t636 () (@var "V_L" $$unsorted)) % 34.14/34.56 (define @t637 () (tptp.c_Pair @t22 @t122 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t638 () (tptp.c_in @t637 @t636 @t460)) % 34.14/34.56 (define @t639 () (not @t638)) % 34.14/34.56 (define @t640 () (tptp.c_in @t637 (tptp.c_Arrow__Order__Mirabelle_Omktop @t636 @t120) @t460)) % 34.14/34.56 (define @t641 () (@list @t22 @t122 @t636 @t120)) % 34.14/34.56 (define @t642 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t636 @t22)) % 34.14/34.56 (define @t643 () (tptp.c_Pair @t22 @t22 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t644 () (@list @t22 @t636)) % 34.14/34.56 (define @t645 () (@list @t22 @t122 @t636)) % 34.14/34.56 (define @t646 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t636 @t22)) % 34.14/34.56 (define @t647 () (tptp.c_Pair @t155 @t22 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t648 () (@list @t155 @t22 @t636)) % 34.14/34.56 (define @t649 () (tptp.c_in @t637 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t636 @t120) @t460)) % 34.14/34.56 (define @t650 () (= @t155 @t22)) % 34.14/34.56 (define @t651 () (tptp.c_Pair @t12 @t75 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 34.14/34.56 (define @t652 () (tptp.c_in @t75 (tptp.hAPP @t9 @t12) @t4)) % 34.14/34.56 (define @t653 () (tptp.c_in @t222 @t524 @t30)) % 34.14/34.56 (define @t654 () (@list @t122 @t10 @t1 @t22 @t62)) % 34.14/34.56 (define @t655 () (@list @t22 @t10 @t1 @t122 @t62)) % 34.14/34.56 (define @t656 () (not @t653)) % 34.14/34.56 (define @t657 () (@var "V_b_H" $$unsorted)) % 34.14/34.56 (define @t658 () (@var "V_a_H" $$unsorted)) % 34.14/34.56 (define @t659 () (not (= @t222 (tptp.c_Pair @t658 @t657 @t1 @t4)))) % 34.14/34.56 (define @t660 () (@list @t12 @t75 @t1 @t4 @t658 @t657)) % 34.14/34.56 (define @t661 () (tptp.hBOOL (tptp.hAPP @t45 @t22))) % 34.14/34.56 (define @t662 () (tptp.c_in @t22 @t45 @t1)) % 34.14/34.56 (define @t663 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi (tptp.tc_fun @t460 tptp.tc_bool))) % 34.14/34.56 (define @t664 () (tptp.c_in tptp.v_Q____ tptp.c_Arrow__Order__Mirabelle_OProf @t663)) % 34.14/34.56 (define @t665 () (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t663)) % 34.14/34.56 (define @t666 () (not (tptp.c_in @t22 tptp.c_Arrow__Order__Mirabelle_OProf @t663))) % 34.14/34.56 (define @t667 () (not (tptp.c_in @t155 tptp.c_Arrow__Order__Mirabelle_OProf @t663))) % 34.14/34.56 (define @t668 () (tptp.v_sko__CHAINED__1 @t12 @t75 @t22 @t155)) % 34.14/34.56 (define @t669 () (tptp.c_in @t651 (tptp.hAPP @t22 @t668) @t460)) % 34.14/34.56 (define @t670 () (not @t669)) % 34.14/34.56 (define @t671 () (tptp.c_in @t651 (tptp.hAPP @t155 @t668) @t460)) % 34.14/34.56 (define @t672 () (not @t671)) % 34.14/34.56 (define @t673 () (tptp.c_in @t651 (tptp.v_F @t155) @t460)) % 34.14/34.56 (define @t674 () (not @t673)) % 34.14/34.56 (define @t675 () (tptp.c_in @t651 (tptp.v_F @t22) @t460)) % 34.14/34.56 (define @t676 () (@list @t12 @t75 @t22 @t155)) % 34.14/34.56 (define @t677 () (not @t675)) % 34.14/34.56 (define @t678 () (@list @t12 @t75 @t155 @t22)) % 34.14/34.56 (define @t679 () (tptp.c_in @t463 (tptp.v_F tptp.v_P____) @t460)) % 34.14/34.56 (define @t680 () (tptp.c_in @t463 (tptp.hAPP tptp.v_Q____ @t461) @t460)) % 34.14/34.56 (define @t681 () (forall @t465 (or @t680 @t466))) % 34.14/34.56 (define @t682 () (tptp.c_in @t463 (tptp.v_F tptp.v_Q____) @t460)) % 34.14/34.56 (define @t683 () (@var "T_1" $$unsorted)) % 34.14/34.56 (define @t684 () (not (tptp.class_Lattices_Olattice @t683))) % 34.14/34.56 (define @t685 () (@var "T_2" $$unsorted)) % 34.14/34.56 (define @t686 () (tptp.tc_fun @t685 @t683)) % 34.14/34.56 (define @t687 () (@list @t685 @t683)) % 34.14/34.56 (define @t688 () (@var "V_Y" $$unsorted)) % 34.14/34.56 (define @t689 () (@var "V_X" $$unsorted)) % 34.14/34.56 (define @t690 () (@list tptp.v_a____ tptp.v_b____ tptp.v_Q____ tptp.v_P____)) % 34.14/34.56 (define @t691 () (not @t664)) % 34.14/34.56 (define @t692 () (not @t665)) % 34.14/34.56 (define @t693 () (tptp.v_sko__CHAINED__1 tptp.v_a____ tptp.v_b____ tptp.v_Q____ tptp.v_P____)) % 34.14/34.56 (define @t694 () (tptp.c_in @t463 (tptp.hAPP tptp.v_Q____ @t693) @t460)) % 34.14/34.56 (define @t695 () (tptp.c_in @t463 (tptp.hAPP tptp.v_P____ @t693) @t460)) % 34.14/34.56 (define @t696 () (not @t679)) % 34.14/34.56 (define @t697 () (or @t682 @t696 @t695 @t694 @t692 @t691)) % 34.14/34.56 (define @t698 () (@list @t693)) % 34.14/34.56 (define @t699 () (not @t694)) % 34.14/34.56 (define @t700 () (or @t695 @t699)) % 34.14/34.56 (define @t701 () (not @t695)) % 34.14/34.56 (define @t702 () (or @t682 @t696 @t701 @t699 @t692 @t691)) % 34.14/34.56 (define @t703 () (or @t694 @t701)) % 34.14/34.56 (define @t704 () (not @t703)) % 34.14/34.56 (assume @p1 (forall @t8 (= (tptp.c_Relation_OImage @t7 @t6 @t4 @t1) @t3))) % 34.14/34.56 (assume @p2 (forall (@list @t12 @t10 @t1 @t9) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t2) @t13))) % 34.14/34.56 (assume @p3 (forall @t16 (not (= @t15 @t3)))) % 34.14/34.56 (assume @p4 (forall @t20 (= @t19 (tptp.c_HOL_Ominus__class_Ominus @t18 @t9 @t2)))) % 34.14/34.56 (assume @p5 (forall @t20 (= @t19 (tptp.c_HOL_Ominus__class_Ominus @t21 @t17 @t2)))) % 34.14/34.56 (assume @p6 (forall @t24 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t23 @t22 @t1)))) % 34.14/34.56 (assume @p7 (forall @t28 (tptp.c_lessequals @t27 @t9 @t26))) % 34.14/34.56 (assume @p8 (forall @t29 (tptp.c_lessequals @t3 @t10 @t2))) % 34.14/34.56 (assume @p9 (forall (@list @t7 @t33 @t4 @t1) (= (tptp.c_Relation_Orel__comp @t7 (tptp.c_Orderings_Obot__class_Obot @t35) @t1 @t33 @t4) @t32))) % 34.14/34.56 (assume @p10 (forall (@list @t1 @t33 @t7 @t4) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t37) @t7 @t1 @t33 @t4) @t32))) % 34.14/34.56 (assume @p11 (forall @t20 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t14 @t2) (tptp.c_Set_Oinsert @t12 @t38 @t1)))) % 34.14/34.56 (assume @p12 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t39 @t2) (tptp.c_Set_Oinsert @t12 @t40 @t1)))) % 34.14/34.56 (assume @p13 (forall (@list @t1 @t43 @t10 @t4) (or (not (= @t3 @t44)) @t42))) % 34.14/34.56 (assume @p14 (forall @t51 (tptp.c_lessequals @t50 @t47 @t26))) % 34.14/34.56 (assume @p15 (forall (@list @t1 @t4 @t53 @t52) (or (not (= (tptp.hAPP @t56 @t53) @t57)) (not (= (tptp.hAPP @t54 @t53) @t55)) (= @t53 @t52)))) % 34.14/34.56 (assume @p16 (forall (@list @t1 @t4 @t59 @t58) (or (not (= @t61 (tptp.hAPP @t56 @t58))) (not (= @t60 (tptp.hAPP @t54 @t58))) (= @t59 @t58)))) % 34.14/34.56 (assume @p17 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t65 @t66))) @t64))) % 34.14/34.56 (assume @p18 (forall (@list @t10 @t4 @t1 @t9) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t72 @t71 @t2) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t10 @t9 @t70) @t4 @t1) @t2))) % 34.14/34.56 (assume @p19 (forall (@list @t10 @t75 @t9 @t1) (or (tptp.c_lessequals @t10 @t76 @t2) @t74))) % 34.14/34.56 (assume @p20 (forall @t80 (or @t73 @t79))) % 34.14/34.56 (assume @p21 (forall @t84 (or (= @t83 @t21) @t82))) % 34.14/34.56 (assume @p22 (forall @t91 (or @t90 (not @t86) @t85))) % 34.14/34.56 (assume @p23 (forall (@list @t10 @t9 @t4 @t39 @t1 @t22) (or @t86 (not @t90) @t85))) % 34.14/34.56 (assume @p24 (forall @t99 (or @t98 @t96 @t94))) % 34.14/34.56 (assume @p25 (forall (@list @t10 @t22 @t1 @t9) (or @t93 @t96 @t100))) % 34.14/34.56 (assume @p26 (forall (@list @t101 @t4 @t1 @t10 @t22) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t101 @t4 @t1) @t10 @t1 @t4) (tptp.c_Set_Oinsert @t101 @t6 @t4)) @t96))) % 34.14/34.56 (assume @p27 (forall @t104 (or (tptp.c_lessequals @t103 @t53 @t26) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t103 @t53 @t26) @t62 @t1 @t1 @t1) @t53 @t26)) @t102))) % 34.14/34.56 (assume @p28 (forall @t109 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t105 @t2) @t39 @t1 @t4) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t108 @t106 @t31)))) % 34.14/34.56 (assume @p29 (forall (@list @t75 @t12 @t1) (or (= @t75 @t12) (not (tptp.c_in @t75 @t17 @t1))))) % 34.14/34.56 (assume @p30 (forall @t111 (or @t110 (= @t21 @t10)))) % 34.14/34.56 (assume @p31 (forall (@list @t10 @t1 @t4 @t9) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t113 @t112 @t2) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t10 @t9 @t31) @t1 @t4) @t2))) % 34.14/34.56 (assume @p32 (forall @t116 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t10 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t115 @t114 @t2)))) % 34.14/34.56 (assume @p33 (forall @t119 (= @t118 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t117 @t2)))) % 34.14/34.56 (assume @p34 (forall @t128 (or @t127 (= @t126 @t124)))) % 34.14/34.56 (assume @p35 (forall @t130 (or @t127 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t125 @t22 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t129 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t120 @t22 @t1) @t1))))) % 34.14/34.56 (assume @p36 (forall @t133 (tptp.c_lessequals @t132 @t131 @t26))) % 34.14/34.56 (assume @p37 (forall @t137 (or @t136 @t135))) % 34.14/34.56 (assume @p38 (forall @t133 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t10 @t2) @t10))) % 34.14/34.56 (assume @p39 (forall @t24 (or @t138 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t22 @t1) @t22)))) % 34.14/34.56 (assume @p40 (forall (@list @t139 @t143 @t1 @t4 @t33 @t62 @t53) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t139 @t143 @t1 @t4 @t33) @t144 @t37) (not (tptp.c_lessequals @t143 @t53 @t142)) @t140))) % 34.14/34.56 (assume @p41 (forall (@list @t7 @t45 @t4 @t1 @t10) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t45 @t70) @t10 @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 (tptp.c_Relation_OImage @t45 @t10 @t4 @t1) @t2)))) % 34.14/34.56 (assume @p42 (forall @t148 (= (tptp.c_Relation_OImage @t7 @t147 @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 @t146 @t2)))) % 34.14/34.56 (assume @p43 (forall (@list @t65 @t152 @t7 @t1) (or (tptp.hBOOL (tptp.hAPP @t65 @t152)) (not (tptp.hBOOL (tptp.hAPP @t65 @t151))) @t150))) % 34.14/34.56 (assume @p44 (forall (@list @t1 @t4) (= (tptp.c_Relation_ODomain @t32 @t1 @t4) @t3))) % 34.14/34.56 (assume @p45 (forall (@list @t22 @t122 @t10 @t1) (= (tptp.c_Set_Oinsert @t22 @t153 @t1) (tptp.c_Set_Oinsert @t122 @t77 @t1)))) % 34.14/34.56 (assume @p46 (forall (@list @t52 @t1 @t4) (= @t52 (tptp.c_Pair @t55 @t57 @t1 @t4)))) % 34.14/34.56 (assume @p47 (forall (@list @t1 @t4 @t59) (= (tptp.c_Pair @t60 @t61 @t1 @t4) @t59))) % 34.14/34.56 (assume @p48 (forall (@list @t65 @t1 @t4 @t154) (= (tptp.hAPP (tptp.c_COMBK @t65 @t1 @t4) @t154) @t65))) % 34.14/34.56 (assume @p49 (forall @t111 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t9 @t2) @t21))) % 34.14/34.56 (assume @p50 (forall (@list @t155 @t22 @t1) (= (tptp.c_Set_Oinsert @t155 @t92 @t1) (tptp.c_Set_Oinsert @t22 (tptp.c_Set_Oinsert @t155 @t3 @t1) @t1)))) % 34.14/34.56 (assume @p51 (forall (@list @t62 @t39 @t1 @t4 @t9 @t10) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t62 @t39 @t1 @t4) @t9 @t5) @t157))) % 34.14/34.56 (assume @p52 (forall (@list @t1 @t155 @t122 @t22) (or @t159 (not (= (tptp.c_HOL_Ominus__class_Ominus @t155 @t122 @t1) @t158)) (= @t155 @t122)))) % 34.14/34.56 (assume @p53 (forall (@list @t1 @t22 @t161 @t160) (or @t159 (not (= @t158 @t162)) (= @t161 @t160)))) % 34.14/34.56 (assume @p54 (forall (@list @t43 @t4 @t1) (= @t163 @t3))) % 34.14/34.56 (assume @p55 (forall (@list @t43 @t10 @t4 @t1 @t9) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t44 @t164 @t2) (tptp.c_Set_Oimage @t43 (tptp.c_HOL_Ominus__class_Ominus @t10 @t9 @t5) @t4 @t1) @t2))) % 34.14/34.56 (assume @p56 (forall @t119 (= @t166 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t165 @t2)))) % 34.14/34.56 (assume @p57 (forall @t167 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t39 @t2) @t166))) % 34.14/34.56 (assume @p58 (forall @t128 (or @t138 @t170))) % 34.14/34.56 (assume @p59 (forall @t128 (or @t138 @t172))) % 34.14/34.56 (assume @p60 (forall @t128 (or @t173 @t172))) % 34.14/34.56 (assume @p61 (forall @t128 (or @t173 @t170))) % 34.14/34.56 (assume @p62 (forall @t111 (or (= @t11 @t10) @t74))) % 34.14/34.56 (assume @p63 (forall @t111 (or (= @t11 @t9) @t174))) % 34.14/34.56 (assume @p64 (forall @t179 (or @t178 @t177 @t176))) % 34.14/34.56 (assume @p65 (forall @t179 (or @t178 (not @t177) @t175))) % 34.14/34.56 (assume @p66 (forall @t179 (or @t178 (= @t123 @t122) @t181))) % 34.14/34.56 (assume @p67 (forall @t167 (or @t186 @t185 @t183))) % 34.14/34.56 (assume @p68 (forall @t187 (tptp.c_lessequals @t9 @t38 @t2))) % 34.14/34.56 (assume @p69 (forall @t111 (tptp.c_lessequals @t10 @t38 @t2))) % 34.14/34.56 (assume @p70 (forall @t194 (or @t138 @t193 @t191 @t189))) % 34.14/34.56 (assume @p71 (forall @t179 (or @t138 @t195))) % 34.14/34.56 (assume @p72 (forall @t197 (or @t138 @t196))) % 34.14/34.56 (assume @p73 (forall @t130 (or @t138 (tptp.c_lessequals @t125 @t22 @t1) (not @t198) @t181))) % 34.14/34.56 (assume @p74 (forall @t128 (or @t138 @t203 @t202 @t200))) % 34.14/34.56 (assume @p75 (forall @t197 (or @t173 @t196))) % 34.14/34.56 (assume @p76 (forall @t179 (or @t173 @t195))) % 34.14/34.56 (assume @p77 (forall @t111 (= @t11 @t115))) % 34.14/34.56 (assume @p78 (forall @t179 (or @t178 @t204))) % 34.14/34.56 (assume @p79 (forall @t179 (or @t173 @t204))) % 34.14/34.56 (assume @p80 (forall @t206 (or @t205 @t64))) % 34.14/34.56 (assume @p81 (forall @t111 (or (= @t208 @t9) @t74))) % 34.14/34.56 (assume @p82 (forall @t216 (or (tptp.c_lessequals @t215 @t214 @t2) @t212 @t209))) % 34.14/34.56 (assume @p83 (forall @t217 (= (tptp.c_Set_Oinsert @t22 @t77 @t1) @t77))) % 34.14/34.56 (assume @p84 (forall (@list @t10 @t22 @t122 @t1) (or @t220 @t219 (not @t218)))) % 34.14/34.56 (assume @p85 (forall @t223 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t222 @t62 @t30) @t1 @t4) (tptp.c_Set_Oinsert @t12 @t221 @t1)))) % 34.14/34.56 (assume @p86 (forall @t228 (or (tptp.c_Relation_Osym @t227 @t1) @t226 @t225))) % 34.14/34.56 (assume @p87 (forall @t104 (or @t231 @t102))) % 34.14/34.56 (assume @p88 (forall @t232 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t9 @t31) @t1 @t4) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t113 @t112 @t2) @t2))) % 34.14/34.56 (assume @p89 (forall @t24 (or @t233 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t23 @t1) @t23)))) % 34.14/34.56 (assume @p90 (forall @t24 (or @t233 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t22 @t1) @t23)))) % 34.14/34.56 (assume @p91 (forall @t28 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t9 @t2) @t3))) % 34.14/34.56 (assume @p92 (forall @t133 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t3 @t2) @t3))) % 34.14/34.56 (assume @p93 (forall (@list @t9 @t12 @t1) (tptp.c_lessequals @t9 @t14 @t2))) % 34.14/34.56 (assume @p94 (forall @t235 (tptp.c_lessequals (tptp.c_Set_Oimage @t43 @t234 @t4 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t44 @t164 @t2) @t2))) % 34.14/34.56 (assume @p95 (forall @t148 (tptp.c_lessequals @t237 @t236 @t2))) % 34.14/34.56 (assume @p96 (forall @t167 (or (not @t239) @t238))) % 34.14/34.56 (assume @p97 (forall @t167 (or @t239 @t240))) % 34.14/34.56 (assume @p98 (forall @t109 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t107 @t105 @t2) @t39 @t1 @t4) (tptp.c_HOL_Ominus__class_Ominus @t108 @t106 @t31)))) % 34.14/34.56 (assume @p99 (forall @t133 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t3 @t2) @t10))) % 34.14/34.56 (assume @p100 (forall @t133 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t10 @t2) @t3))) % 34.14/34.56 (assume @p101 (forall (@list @t62 @t53 @t1 @t4 @t33 @t10 @t39 @t9) (or (tptp.c_lessequals @t144 (tptp.c_Product__Type_OSigma @t10 (tptp.c_COMBK @t39 @t241 @t1) @t1 @t33) @t37) (not (tptp.c_lessequals @t53 (tptp.c_Product__Type_OSigma @t9 (tptp.c_COMBK @t39 @t241 @t4) @t4 @t33) @t142)) @t157))) % 34.14/34.56 (assume @p102 (forall @t243 (or @t242 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t7 @t45 @t1 @t1 @t1) @t7 @t26)) (not (tptp.c_Wellfounded_Owf @t45 @t1)) @t150))) % 34.14/34.56 (assume @p103 (forall @t246 (or @t245 @t220 (not @t244)))) % 34.14/34.56 (assume @p104 (forall @t80 (or @t244 @t247))) % 34.14/34.56 (assume @p105 (forall @t80 (or @t244 @t248))) % 34.14/34.56 (assume @p106 (forall @t104 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t249 (tptp.c_Relation_ORange @t53 @t1 @t1) @t2) @t3)) (not (tptp.c_Wellfounded_Owf @t53 @t1)) @t64 (tptp.c_Wellfounded_Owf @t227 @t1)))) % 34.14/34.56 (assume @p107 (forall @t253 (= (tptp.c_Product__Type_OSigma @t11 @t250 @t1 @t4) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t252 @t251 @t31)))) % 34.14/34.56 (assume @p108 (forall @t255 (or (tptp.c_Relation_Orefl__on @t38 @t227 @t1) @t254 @t135))) % 34.14/34.56 (assume @p109 (forall @t128 (or @t173 @t258))) % 34.14/34.56 (assume @p110 (forall @t128 (or @t173 @t259))) % 34.14/34.56 (assume @p111 (forall @t128 (or @t178 @t259))) % 34.14/34.56 (assume @p112 (forall @t128 (or @t178 @t258))) % 34.14/34.56 (assume @p113 (forall @t167 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t39 @t2) @t261))) % 34.14/34.56 (assume @p114 (forall @t119 (= @t261 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t117 @t2)))) % 34.14/34.56 (assume @p115 (forall @t24 (or @t233 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t23 @t1) @t22)))) % 34.14/34.56 (assume @p116 (forall @t24 (or @t233 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t22 @t1) @t22)))) % 34.14/34.56 (assume @p117 (forall @t28 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t9 @t2) @t9))) % 34.14/34.56 (assume @p118 (forall @t133 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t3 @t2) @t10))) % 34.14/34.56 (assume @p119 (forall @t29 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t10 @t2) @t3))) % 34.14/34.56 (assume @p120 (forall (@list @t12 @t10 @t1 @t75 @t9 @t4) (= (tptp.c_Product__Type_OSigma @t15 @t262 @t1 @t4) (tptp.c_Set_Oinsert @t222 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t10 @t262 @t1 @t4) (tptp.c_Product__Type_OSigma @t15 @t156 @t1 @t4) @t31) @t30)))) % 34.14/34.56 (assume @p121 (forall (@list @t10 @t1 @t7) (or @t263 (not (tptp.c_lessequals @t10 (tptp.c_Relation_OImage @t7 @t10 @t1 @t1) @t2)) @t150))) % 34.14/34.56 (assume @p122 (forall @t24 (not (tptp.hBOOL (tptp.hAPP @t3 @t22))))) % 34.14/34.56 (assume @p123 (forall @t264 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t21 @t2) (tptp.c_HOL_Ominus__class_Ominus @t114 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t9 @t2) @t2)))) % 34.14/34.56 (assume @p124 (forall @t167 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t39 @t2) @t265))) % 34.14/34.56 (assume @p125 (forall (@list @t101 @t1 @t4 @t10) (or (= (tptp.c_Set_Oimage @t266 @t10 @t4 @t1) (tptp.c_Set_Oinsert @t101 @t3 @t1)) @t42))) % 34.14/34.56 (assume @p126 (forall @t268 (or (tptp.c_lessequals @t21 (tptp.c_HOL_Ominus__class_Ominus @t39 @t267 @t2) @t2) (not (tptp.c_lessequals @t267 @t9 @t2)) @t183))) % 34.14/34.56 (assume @p127 (forall @t269 (or @t82 @t96 @t110))) % 34.14/34.56 (assume @p128 (forall @t228 (or (tptp.c_Relation_Otrans @t272 @t1) (not (tptp.c_Relation_Otrans @t53 @t1)) @t271))) % 34.14/34.56 (assume @p129 (forall @t128 (or @t173 (tptp.c_lessequals @t274 @t273 @t1)))) % 34.14/34.56 (assume @p130 (forall @t275 (= @t265 (tptp.c_HOL_Ominus__class_Ominus @t117 @t9 @t2)))) % 34.14/34.56 (assume @p131 (forall @t179 (or @t173 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 @t123 @t1) @t22)))) % 34.14/34.56 (assume @p132 (forall @t116 (or (not (= (tptp.c_Relation_Orel__comp @t9 @t39 @t1 @t1 @t1) @t27)) @t276 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t26) @t39 @t1 @t1 @t1) @t27)))) % 34.14/34.56 (assume @p133 (forall @t275 (or @t276 (not (= (tptp.c_Relation_Orel__comp @t10 @t9 @t1 @t1 @t1) @t27)) (= (tptp.c_Relation_Orel__comp @t10 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t39 @t26) @t1 @t1 @t1) @t27)))) % 34.14/34.56 (assume @p134 (forall (@list @t65 @t278 @t62 @t1) (or (tptp.hBOOL (tptp.hAPP @t65 @t278)) (not (tptp.hBOOL (tptp.hAPP @t65 @t277))) @t64))) % 34.14/34.56 (assume @p135 (forall @t206 (or @t205 (not @t280)))) % 34.14/34.56 (assume @p136 (forall @t206 (or @t280 @t281))) % 34.14/34.56 (assume @p137 (forall @t111 (or @t282 @t174 @t74))) % 34.14/34.56 (assume @p138 (forall @t179 (or @t284 @t283 @t181 @t176))) % 34.14/34.56 (assume @p139 (forall (@list @t65 @t4 @t33 @t1 @t120) (= (tptp.hAPP (tptp.c_split @t65 @t4 @t33 @t1) @t120) (tptp.hAPP (tptp.hAPP @t65 (tptp.hAPP (tptp.c_fst @t4 @t33) @t120)) (tptp.hAPP (tptp.c_snd @t4 @t33) @t120))))) % 34.14/34.56 (assume @p140 (forall @t179 (or @t284 @t283 @t176 @t181))) % 34.14/34.56 (assume @p141 (forall @t179 (or @t173 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t169 @t1) @t22)))) % 34.14/34.56 (assume @p142 (forall @t111 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t11 @t2) @t10))) % 34.14/34.56 (assume @p143 (forall @t179 (or @t138 (= @t169 @t22) @t181))) % 34.14/34.56 (assume @p144 (forall @t179 (or @t138 (not @t285) @t175))) % 34.14/34.56 (assume @p145 (forall @t179 (or @t138 @t285 @t176))) % 34.14/34.56 (assume @p146 (forall @t111 (or @t286 @t74))) % 34.14/34.56 (assume @p147 (forall @t111 (or (= @t38 @t10) @t174))) % 34.14/34.56 (assume @p148 (forall @t111 (or (not @t286) @t73))) % 34.14/34.56 (assume @p149 (forall @t255 (or (tptp.c_Relation_Orefl__on @t11 @t272 @t1) @t254 @t135))) % 34.14/34.56 (assume @p150 (forall @t287 (tptp.c_Relation_Oantisym @t27 @t1))) % 34.14/34.56 (assume @p151 (forall (@list @t4 @t1) (= (tptp.c_Relation_ORange @t288 @t4 @t1) @t3))) % 34.14/34.56 (assume @p152 (forall @t293 (or @t292 @t291 @t289))) % 34.14/34.56 (assume @p153 (forall @t293 (or @t292 @t294 @t289))) % 34.14/34.56 (assume @p154 (forall @t293 (or @t292 @t291 @t295))) % 34.14/34.56 (assume @p155 (forall @t293 (or @t292 @t294 @t295))) % 34.14/34.56 (assume @p156 (forall @t297 (or (tptp.c_lessequals @t103 @t131 @t26) @t296))) % 34.14/34.56 (assume @p157 (forall @t104 (or @t231 (not (tptp.c_lessequals @t62 @t229 @t26))))) % 34.14/34.56 (assume @p158 (forall @t133 (or @t263 (not (tptp.c_lessequals @t10 @t3 @t2))))) % 34.14/34.56 (assume @p159 (forall @t287 (tptp.c_lessequals @t3 @t3 @t2))) % 34.14/34.56 (assume @p160 (forall (@list @t1 @t12 @t10) (not (= @t3 @t15)))) % 34.14/34.56 (assume @p161 (forall @t287 (tptp.c_Relation_Orefl__on @t3 @t27 @t1))) % 34.14/34.56 (assume @p162 (forall @t41 (or (= @t299 (tptp.c_Set_Oinsert @t12 @t260 @t1)) (not @t298)))) % 34.14/34.56 (assume @p163 (forall @t20 (or (= @t302 @t13) @t301))) % 34.14/34.56 (assume @p164 (forall (@list @t43 @t12 @t9 @t4 @t1) (= (tptp.c_Set_Oimage @t43 (tptp.c_Set_Oinsert @t12 @t9 @t4) @t4 @t1) (tptp.c_Set_Oinsert @t303 @t164 @t1)))) % 34.14/34.56 (assume @p165 (forall (@list @t1 @t62) (tptp.c_Relation_Ototal__on @t3 @t62 @t1))) % 34.14/34.56 (assume @p166 (forall @t268 (or (tptp.c_lessequals @t38 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t39 @t267 @t2) @t2) @t304 @t183))) % 34.14/34.56 (assume @p167 (forall @t307 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t53 @t70) @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t306 @t305 @t31)))) % 34.14/34.56 (assume @p168 (forall @t179 (or @t173 @t308))) % 34.14/34.56 (assume @p169 (forall @t179 (or @t173 @t309))) % 34.14/34.56 (assume @p170 (forall @t128 (or @t178 @t310 @t200 @t176))) % 34.14/34.56 (assume @p171 (forall @t317 (or @t178 @t316 @t314 @t312))) % 34.14/34.56 (assume @p172 (forall @t179 (or @t178 @t309))) % 34.14/34.56 (assume @p173 (forall @t179 (or @t178 @t308))) % 34.14/34.56 (assume @p174 (forall @t111 (tptp.c_lessequals @t11 @t10 @t2))) % 34.14/34.56 (assume @p175 (forall @t111 (tptp.c_lessequals @t11 @t9 @t2))) % 34.14/34.56 (assume @p176 (forall @t264 (or @t319 (not @t318) @t240))) % 34.14/34.56 (assume @p177 (forall @t253 (= (tptp.c_Product__Type_OSigma @t38 @t250 @t1 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t252 @t251 @t31)))) % 34.14/34.56 (assume @p178 (forall @t130 (or @t127 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t256 @t22 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t320 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t120 @t22 @t1) @t1))))) % 34.14/34.56 (assume @p179 (forall @t128 (or @t173 (tptp.c_lessequals @t124 @t126 @t1)))) % 34.14/34.56 (assume @p180 (forall (@list @t45 @t1 @t7) (or (= @t48 @t49) (not (tptp.c_lessequals @t45 @t49 @t26)) (not (tptp.c_lessequals @t7 @t45 @t26))))) % 34.14/34.56 (assume @p181 (forall @t111 (tptp.c_lessequals @t21 @t10 @t2))) % 34.14/34.56 (assume @p182 (forall @t16 (= @t321 @t15))) % 34.14/34.56 (assume @p183 (forall (@list @t12 @t1 @t75) (or (not (= @t17 @t213)) @t322))) % 34.14/34.56 (assume @p184 (forall @t167 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t260 @t2) @t114 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t40 @t2) @t323 @t2)))) % 34.14/34.56 (assume @p185 (forall @t287 (= (tptp.c_Relation_OId__on @t3 @t1) @t27))) % 34.14/34.56 (assume @p186 (forall (@list @t101 @t1 @t4) (= (tptp.c_Set_Oimage @t266 @t6 @t4 @t1) @t3))) % 34.14/34.56 (assume @p187 (forall (@list @t22 @t155 @t1) (or (not (= (tptp.c_Set_Oinsert @t22 @t155 @t1) @t3)) (tptp.c_in @t22 @t155 @t1)))) % 34.14/34.56 (assume @p188 (forall @t287 (tptp.c_Wellfounded_Owf @t27 @t1))) % 34.14/34.56 (assume @p189 (forall @t269 (or @t81 @t79))) % 34.14/34.56 (assume @p190 (forall @t109 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t105 @t2) @t39 @t1 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t108 @t106 @t31)))) % 34.14/34.56 (assume @p191 (forall (@list @t122 @t10 @t1 @t22) (or @t218 @t248))) % 34.14/34.56 (assume @p192 (forall @t99 (or @t98 @t74 @t95))) % 34.14/34.56 (assume @p193 (forall @t80 (or @t73 @t95 @t100))) % 34.14/34.56 (assume @p194 (forall @t80 (or @t73 @t100 @t95))) % 34.14/34.56 (assume @p195 (forall @t307 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t53 @t70) @t4 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t305 @t31)))) % 34.14/34.56 (assume @p196 (forall @t20 (or (= @t302 @t11) @t300))) % 34.14/34.56 (assume @p197 (forall @t41 (or (= @t299 @t260) @t298))) % 34.14/34.56 (assume @p198 (forall @t327 (or @t326 @t325))) % 34.14/34.56 (assume @p199 (forall @t111 (or @t328 (= @t9 @t3)))) % 34.14/34.56 (assume @p200 (forall @t111 (or @t328 @t263))) % 34.14/34.56 (assume @p201 (forall @t330 (or @t233 @t329 (= @t10 @t23)))) % 34.14/34.56 (assume @p202 (forall @t330 (or @t233 @t329 (= @t9 @t23)))) % 34.14/34.56 (assume @p203 (forall @t187 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 @t10 @t2) @t331))) % 34.14/34.56 (assume @p204 (forall @t111 (= @t208 @t38))) % 34.14/34.56 (assume @p205 (forall (@list @t45 @t332 @t1 @t33 @t7 @t4) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t332 @t37) @t7 @t1 @t33 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t45 @t7 @t1 @t33 @t4) (tptp.c_Relation_Orel__comp @t332 @t7 @t1 @t33 @t4) @t31)))) % 34.14/34.56 (assume @p206 (forall (@list @t7 @t45 @t332 @t33 @t4 @t1) (= (tptp.c_Relation_Orel__comp @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t332 @t35) @t1 @t33 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t7 @t45 @t1 @t33 @t4) (tptp.c_Relation_Orel__comp @t7 @t332 @t1 @t33 @t4) @t31)))) % 34.14/34.56 (assume @p207 (forall (@list @t39 @t9 @t1 @t10) (or @t318 @t333))) % 34.14/34.56 (assume @p208 (forall (@list @t39 @t10 @t1 @t9) (or @t238 @t333))) % 34.14/34.56 (assume @p209 (forall @t317 (or @t178 @t311 @t334))) % 34.14/34.56 (assume @p210 (forall (@list @t1 @t22 @t75 @t12) (or @t178 @t313 @t334))) % 34.14/34.56 (assume @p211 (forall @t194 (or @t178 @t335 @t189))) % 34.14/34.56 (assume @p212 (forall @t194 (or @t178 @t335 @t191))) % 34.14/34.56 (assume @p213 (forall @t128 (or @t178 @t175 @t336))) % 34.14/34.56 (assume @p214 (forall @t337 (or @t178 @t199 @t336))) % 34.14/34.56 (assume @p215 (forall @t167 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t39 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t339 @t338 @t2)))) % 34.14/34.56 (assume @p216 (forall @t111 (= @t38 @t331))) % 34.14/34.56 (assume @p217 (forall @t179 (or @t138 @t340))) % 34.14/34.56 (assume @p218 (forall @t179 (or @t173 @t340))) % 34.14/34.56 (assume @p219 (forall @t232 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t31) @t1 @t4) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t113 @t112 @t2)))) % 34.14/34.56 (assume @p220 (forall @t16 (= @t15 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t10 @t2)))) % 34.14/34.56 (assume @p221 (forall (@list @t1 @t9 @t4) (= (tptp.c_Product__Type_OSigma @t3 @t9 @t1 @t4) @t32))) % 34.14/34.56 (assume @p222 (forall (@list @t341 @t1 @t342) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t341 @t1) (tptp.c_Wellfounded_Oacc @t342 @t1) @t2) (not (tptp.c_lessequals @t342 @t341 @t26))))) % 34.14/34.56 (assume @p223 (forall @t111 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t38 @t2) @t38))) % 34.14/34.56 (assume @p224 (forall @t179 (or @t138 @t343))) % 34.14/34.56 (assume @p225 (forall @t179 (or @t173 @t343))) % 34.14/34.56 (assume @p226 (forall @t344 (or (not (= @t221 @t3)) (= @t62 @t32)))) % 34.14/34.56 (assume @p227 (forall (@list @t1 @t43 @t4) (= @t3 @t163))) % 34.14/34.56 (assume @p228 (forall @t111 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t207 @t2) @t3))) % 34.14/34.56 (assume @p229 (forall @t345 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t9 @t70) @t4 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72 @t71 @t2) @t2))) % 34.14/34.56 (assume @p230 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t65 @t346))) @t64))) % 34.14/34.56 (assume @p231 (forall @t51 (= (tptp.c_Transitive__Closure_Ortrancl @t50 @t1) @t47))) % 34.14/34.56 (assume @p232 (forall @t84 (or (= @t83 (tptp.c_Set_Oinsert @t22 @t21 @t1)) @t81))) % 34.14/34.56 (assume @p233 (forall @t99 (or @t98 @t74 @t94))) % 34.14/34.56 (assume @p234 (forall @t246 (or @t245 @t348))) % 34.14/34.56 (assume @p235 (forall @t99 (or @t220 @t348))) % 34.14/34.56 (assume @p236 (forall @t351 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t350 @t62 @t69) @t4 @t1) (tptp.c_Set_Oinsert @t75 @t349 @t1)))) % 34.14/34.56 (assume @p237 (forall @t228 (or (tptp.c_Relation_Osym @t272 @t1) @t226 @t225))) % 34.14/34.56 (assume @p238 (forall @t217 (or (= (tptp.c_HOL_Ominus__class_Ominus @t77 @t92 @t2) @t10) @t95))) % 34.14/34.56 (assume @p239 (forall @t167 (or @t353 (not @t352)))) % 34.14/34.56 (assume @p240 (forall @t119 (or @t352 (not @t353)))) % 34.14/34.56 (assume @p241 (forall (@list @t43 @t354 @t62 @t22 @t1 @t4) (or (not (= (tptp.hAPP @t43 @t356) (tptp.hAPP @t354 @t356))) @t355))) % 34.14/34.56 (assume @p242 (forall @t361 (or @t205 @t360))) % 34.14/34.56 (assume @p243 (forall (@list @t4 @t43 @t22 @t354 @t1) (or (not (tptp.class_HOL_Oord @t4)) (tptp.c_lessequals @t362 (tptp.hAPP @t354 @t22) @t4) (not (tptp.c_lessequals @t43 @t354 (tptp.tc_fun @t1 @t4)))))) % 34.14/34.56 (assume @p244 (forall @t368 (or @t367 @t366 @t364))) % 34.14/34.56 (assume @p245 (forall (@list @t12 @t75 @t10 @t1) (or @t369 @t301))) % 34.14/34.56 (assume @p246 (forall (@list @t12 @t75 @t9 @t1) (or (tptp.c_in @t12 @t76 @t1) (not (tptp.c_in @t12 @t9 @t1))))) % 34.14/34.56 (assume @p247 (forall (@list @t52 @t9 @t1 @t10) (or (tptp.c_in @t52 @t9 @t1) (not (tptp.c_in @t52 @t10 @t1)) @t74))) % 34.14/34.56 (assume @p248 (forall @t269 (or @t81 @t74 @t96))) % 34.14/34.56 (assume @p249 (forall @t370 (or @t365 @t364 @t74))) % 34.14/34.56 (assume @p250 (forall @t269 (or @t81 @t96 @t74))) % 34.14/34.56 (assume @p251 (forall @t368 (or @t371 @t364))) % 34.14/34.56 (assume @p252 (forall @t368 (or @t371 @t366))) % 34.14/34.56 (assume @p253 (forall @t373 @t372)) % 34.14/34.56 (assume @p254 (forall @t375 (or @t374 @t372))) % 34.14/34.56 (assume @p255 (forall (@list @t101 @t1) (not (tptp.c_in @t101 @t3 @t1)))) % 34.14/34.56 (assume @p256 (forall @t376 (not (tptp.c_in @t12 @t3 @t1)))) % 34.14/34.56 (assume @p257 (forall (@list @t12 @t10 @t1 @t75) (or @t300 @t322 (not @t369)))) % 34.14/34.56 (assume @p258 (forall @t370 (or @t365 @t363 (not @t371)))) % 34.14/34.56 (assume @p259 (forall @t370 (or @t366 @t378))) % 34.14/34.56 (assume @p260 (forall @t379 (or @t363 @t378))) % 34.14/34.56 (assume @p261 (forall @t217 (tptp.c_in @t22 @t77 @t1))) % 34.14/34.56 (assume @p262 (forall (@list @t12 @t9 @t1) (tptp.c_in @t12 @t14 @t1))) % 34.14/34.56 (assume @p263 (forall (@list @t22 @t9 @t1) (tptp.c_in @t22 @t97 @t1))) % 34.14/34.56 (assume @p264 (forall @t370 (or @t365 @t380))) % 34.14/34.56 (assume @p265 (forall @t379 (or @t363 @t380))) % 34.14/34.56 (assume @p266 (forall @t375 (or @t381 @t372))) % 34.14/34.56 (assume @p267 (forall @t368 (or @t377 @t365 @t364))) % 34.14/34.56 (assume @p268 (forall @t84 (or (not (= @t77 @t97)) @t81 @t95 @t282))) % 34.14/34.56 (assume @p269 (forall @t16 (or (= @t15 @t10) @t301))) % 34.14/34.56 (assume @p270 (forall (@list @t1 @t4 @t12 @t75) (= (tptp.hAPP @t54 @t222) @t12))) % 34.14/34.56 (assume @p271 (forall (@list @t22 @t1 @t4 @t122) (= @t22 (tptp.hAPP @t54 @t382)))) % 34.14/34.56 (assume @p272 (forall (@list @t4 @t1 @t12 @t75) (= (tptp.hAPP @t383 @t350) @t75))) % 34.14/34.56 (assume @p273 (forall (@list @t122 @t4 @t1 @t22) (= @t122 @t385))) % 34.14/34.56 (assume @p274 (forall (@list @t65 @t1 @t4 @t59 @t58 @t154) (or (tptp.hBOOL (tptp.hAPP @t65 (tptp.hAPP @t54 @t388))) @t387 @t386))) % 34.14/34.56 (assume @p275 (forall (@list @t154 @t1 @t4 @t59 @t58 @t65) (or (tptp.hBOOL (tptp.hAPP @t154 (tptp.hAPP @t56 @t388))) @t387 @t386))) % 34.14/34.56 (assume @p276 (forall @t128 (or @t127 (= @t274 @t273)))) % 34.14/34.56 (assume @p277 (forall @t119 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t260 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t165 @t2)))) % 34.14/34.56 (assume @p278 (forall @t116 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t10 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t331 @t323 @t2)))) % 34.14/34.56 (assume @p279 (forall @t297 (or @t270 @t325))) % 34.14/34.56 (assume @p280 (forall @t217 (tptp.hBOOL (tptp.hAPP @t77 @t22)))) % 34.14/34.56 (assume @p281 (forall @t84 (or @t78 @t74 @t82))) % 34.14/34.56 (assume @p282 (forall @t253 (= (tptp.c_Product__Type_OSigma @t21 @t250 @t1 @t4) (tptp.c_HOL_Ominus__class_Ominus @t252 @t251 @t31)))) % 34.14/34.56 (assume @p283 (forall @t179 (or @t173 @t389))) % 34.14/34.56 (assume @p284 (forall @t179 (or @t178 @t389))) % 34.14/34.56 (assume @p285 (forall @t111 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t11 @t2) @t11))) % 34.14/34.56 (assume @p286 (forall @t345 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t9 @t70) @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t71 @t2)))) % 34.14/34.56 (assume @p287 (forall (@list @t62 @t139 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t139 @t26) @t1) @t64))) % 34.14/34.56 (assume @p288 (forall (@list @t139 @t62 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t139 @t62 @t26) @t1) @t64))) % 34.14/34.56 (assume @p289 (forall @t16 (or (= @t321 @t10) @t301))) % 34.14/34.56 (assume @p290 (forall @t24 (or @t178 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t22 @t22 @t1) @t22)))) % 34.14/34.56 (assume @p291 (forall @t133 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t10 @t2) @t10))) % 34.14/34.56 (assume @p292 (forall @t130 (or @t138 @t201 @t390))) % 34.14/34.56 (assume @p293 (forall @t337 (or @t138 @t199 @t390))) % 34.14/34.56 (assume @p294 (forall @t317 (or @t138 @t391 @t314))) % 34.14/34.56 (assume @p295 (forall @t317 (or @t138 @t391 @t312))) % 34.14/34.56 (assume @p296 (forall (@list @t1 @t75 @t22 @t12) (or @t138 @t190 @t392))) % 34.14/34.56 (assume @p297 (forall (@list @t1 @t12 @t22 @t75) (or @t138 @t188 @t392))) % 34.14/34.56 (assume @p298 (forall @t275 (or @t182 @t393))) % 34.14/34.56 (assume @p299 (forall @t116 (or @t184 @t393))) % 34.14/34.56 (assume @p300 (forall (@list @t1 @t120 @t22 @t122) (or @t284 @t198 (not (tptp.c_lessequals @t120 @t122 @t1)) @t181))) % 34.14/34.56 (assume @p301 (forall @t337 (or @t394 @t199 @t202 @t176))) % 34.14/34.56 (assume @p302 (forall @t373 (tptp.c_lessequals @t22 @t22 @t2))) % 34.14/34.56 (assume @p303 (forall @t133 (tptp.c_lessequals @t10 @t10 @t2))) % 34.14/34.56 (assume @p304 (forall @t275 (or @t182 @t185 @t74))) % 34.14/34.56 (assume @p305 (forall @t397 (or @t396 @t381 @t395))) % 34.14/34.56 (assume @p306 (forall (@list @t59 @t1 @t62) (or (tptp.c_Wellfounded_Owf @t59 @t1) (not (tptp.c_lessequals @t59 @t62 @t26)) @t64))) % 34.14/34.56 (assume @p307 (forall @t24 (or @t284 @t398))) % 34.14/34.56 (assume @p308 (forall @t24 (or @t394 @t398))) % 34.14/34.56 (assume @p309 (forall @t104 (or @t399 (not (tptp.c_Relation_Oantisym @t53 @t1)) @t102))) % 34.14/34.56 (assume @p310 (forall @t397 (or @t396 @t395 @t381))) % 34.14/34.56 (assume @p311 (forall @t104 (or @t205 @t102 (not (tptp.c_Wellfounded_Oacyclic @t53 @t1))))) % 34.14/34.56 (assume @p312 (forall @t402 (or @t401 (not (tptp.c_Relation_Osingle__valued @t53 @t1 @t4)) @t400))) % 34.14/34.56 (assume @p313 (forall (@list @t43 @t10 @t4 @t1) (or (not (= @t44 @t3)) @t42))) % 34.14/34.56 (assume @p314 (forall @t268 (or (tptp.c_lessequals @t11 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t267 @t2) @t2) @t304 @t183))) % 34.14/34.56 (assume @p315 (forall @t119 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t40 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t339 @t2)))) % 34.14/34.56 (assume @p316 (forall @t167 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t39 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t338 @t2)))) % 34.14/34.56 (assume @p317 (forall @t373 (tptp.c_in @t22 @t92 @t1))) % 34.14/34.56 (assume @p318 (forall @t402 (or (tptp.c_lessequals @t221 (tptp.c_Relation_ODomain @t53 @t1 @t4) @t2) @t400))) % 34.14/34.56 (assume @p319 (forall (@list @t10 @t22 @t1) (or (= @t10 @t92) @t263 (not (tptp.c_lessequals @t10 @t92 @t2))))) % 34.14/34.56 (assume @p320 (forall @t119 (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t260 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t339 @t2)))) % 34.14/34.56 (assume @p321 (forall (@list @t10 @t4 @t1) (= (tptp.c_Product__Type_OSigma @t10 (tptp.c_COMBK @t6 @t5 @t1) @t1 @t4) @t32))) % 34.14/34.56 (assume @p322 (forall @t80 (or @t347 @t247 @t248))) % 34.14/34.56 (assume @p323 (forall (@list @t9 @t39 @t10 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t9 (tptp.c_HOL_Ominus__class_Ominus @t39 @t10 @t2) @t2) @t10) @t185 @t74))) % 34.14/34.56 (assume @p324 (forall @t406 (or @t405 @t404 @t403 @t181))) % 34.14/34.56 (assume @p325 (forall @t406 (or @t405 @t404 @t180 (not @t403)))) % 34.14/34.56 (assume @p326 (forall (@list @t43 @t10 @t1 @t4 @t9) (or (tptp.c_lessequals @t407 (tptp.c_Set_Oimage @t43 @t9 @t1 @t4) @t5) @t74))) % 34.14/34.56 (assume @p327 (forall @t408 (or (not (tptp.c_lessequals @t22 @t10 @t5)) (tptp.c_lessequals (tptp.c_Set_Oimage @t43 @t22 @t4 @t1) @t44 @t2)))) % 34.14/34.56 (assume @p328 (forall (@list @t12 @t39 @t1 @t267) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t12 @t39 @t1) (tptp.c_Set_Oinsert @t12 @t267 @t1) @t2) (not (tptp.c_lessequals @t39 @t267 @t2))))) % 34.14/34.56 (assume @p329 (forall @t287 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t2) @t3))) % 34.14/34.56 (assume @p330 (forall @t235 (= (tptp.c_Set_Oimage @t43 @t147 @t4 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t164 @t2)))) % 34.14/34.56 (assume @p331 (forall @t287 (= (tptp.c_Transitive__Closure_Otrancl @t27 @t1) @t27))) % 34.14/34.56 (assume @p332 (forall (@list @t65 @t4 @t1 @t22 @t122) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t65 @t385) (tptp.hAPP (tptp.c_fst @t4 @t1) @t384))) (not (tptp.hBOOL (tptp.hAPP @t409 @t22)))))) % 34.14/34.56 (assume @p333 (forall @t410 (or (not (= @t349 @t3)) (= @t62 @t288)))) % 34.14/34.56 (assume @p334 (forall (@list @t139 @t411 @t1 @t4 @t62 @t10) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t139 @t411 @t1 @t4) @t412 @t5) (not (tptp.c_lessequals @t411 @t10 @t2)) @t140))) % 34.14/34.56 (assume @p335 (forall @t137 (or @t136 @t209))) % 34.14/34.56 (assume @p336 (forall @t197 (or (not (tptp.class_Orderings_Olinorder @t1)) @t180 @t175))) % 34.14/34.56 (assume @p337 (forall @t297 (or @t413 @t325))) % 34.14/34.56 (assume @p338 (forall @t416 (or @t359 @t415 @t281))) % 34.14/34.56 (assume @p339 (forall @t418 (or @t417 @t360))) % 34.14/34.56 (assume @p340 (forall @t425 (or @t67 (tptp.c_in (tptp.c_Pair @t424 @t423 @t1 @t1) @t62 @t25) @t422 @t420))) % 34.14/34.56 (assume @p341 (forall @t429 (or @t421 (tptp.c_in (tptp.c_Pair @t428 @t427 @t1 @t1) @t62 @t25) @t426 @t420))) % 34.14/34.56 (assume @p342 (forall (@list @t12 @t62 @t1 @t10) (or (tptp.c_in @t12 @t215 @t1) @t301 @t209))) % 34.14/34.56 (assume @p343 (forall @t104 (or (tptp.c_lessequals @t230 @t53 @t26) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t230 @t53 @t26) @t62 @t1 @t1 @t1) @t53 @t26)) (not (tptp.c_lessequals @t430 @t53 @t26))))) % 34.14/34.56 (assume @p344 (forall (@list @t12 @t75 @t1 @t62 @t22 @t10) (or @t211 (not (tptp.c_in @t22 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t215 @t214 @t2) @t1)) @t209))) % 34.14/34.56 (assume @p345 (forall (@list @t12 @t75 @t1 @t62 @t10) (or @t211 @t431 (not (tptp.c_lessequals @t214 @t215 @t2)) @t209))) % 34.14/34.56 (assume @p346 (forall @t432 (or (= (tptp.c_Set_Oinsert @t362 @t407 @t4) @t407) @t96))) % 34.14/34.56 (assume @p347 (forall (@list @t43 @t22 @t9 @t1 @t10 @t4) (or (tptp.c_in @t362 @t9 @t1) @t433 (not (tptp.c_lessequals @t44 @t9 @t2))))) % 34.14/34.56 (assume @p348 (forall @t351 (or @t435 (not @t434)))) % 34.14/34.56 (assume @p349 (forall (@list @t75 @t62 @t12 @t4 @t1) (or @t434 (not @t435)))) % 34.14/34.56 (assume @p350 (forall @t91 (or (not (= @t89 @t88)) @t85 @t282))) % 34.14/34.56 (assume @p351 (forall @t361 (or @t63 @t437))) % 34.14/34.56 (assume @p352 (forall @t441 (or (tptp.c_in @t440 @t10 @t4) @t439))) % 34.14/34.56 (assume @p353 (forall @t443 (or @t442 (not (tptp.c_in @t22 @t49 @t25))))) % 34.14/34.56 (assume @p354 (forall @t443 (or @t442 (not (tptp.c_in @t22 @t48 @t25))))) % 34.14/34.56 (assume @p355 (forall (@list @t59 @t53 @t1 @t62) (or (tptp.c_in @t59 (tptp.c_Transitive__Closure_Otrancl @t53 @t1) @t25) @t102 (not @t444)))) % 34.14/34.56 (assume @p356 (forall @t216 (or @t445 @t212 @t209))) % 34.14/34.56 (assume @p357 (forall @t449 (or @t448 @t447 @t209))) % 34.14/34.56 (assume @p358 (forall @t51 (or @t451 (not @t242)))) % 34.14/34.56 (assume @p359 (forall @t243 (or @t242 (not @t451)))) % 34.14/34.56 (assume @p360 (forall @t452 (or (not (= @t450 @t27)) @t149))) % 34.14/34.56 (assume @p361 (forall @t206 (= @t103 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 (tptp.c_Relation_Orel__comp @t103 @t62 @t1 @t1 @t1) @t26)))) % 34.14/34.56 (assume @p362 (forall @t452 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t430 @t26) @t49))) % 34.14/34.56 (assume @p363 (forall @t452 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t430 @t26) @t1) @t49))) % 34.14/34.56 (assume @p364 (forall @t287 (= (tptp.c_Transitive__Closure_Ortrancl @t27 @t1) @t430))) % 34.14/34.56 (assume @p365 (forall @t206 (= (tptp.c_Transitive__Closure_Ortrancl @t453 @t1) @t230))) % 34.14/34.56 (assume @p366 (forall @t206 (or (tptp.c_Relation_Oantisym @t230 @t1) @t281))) % 34.14/34.56 (assume @p367 (forall @t206 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t62 @t62 @t1 @t1 @t1) @t62 @t26) @t271))) % 34.14/34.56 (assume @p368 (forall @t206 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t279 @t26) @t1))) % 34.14/34.56 (assume @p369 (forall @t206 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t279 @t26) @t1))) % 34.14/34.56 (assume @p370 (forall @t206 (or (tptp.c_Relation_Otrans @t454 @t1) @t271))) % 34.14/34.56 (assume @p371 (forall (@list @t10 @t1 @t9) (= (tptp.c_Relation_OImage @t132 @t9 @t1 @t1) @t11))) % 34.14/34.56 (assume @p372 (forall @t206 (or @t399 (not @t455)))) % 34.14/34.56 (assume @p373 (forall @t206 (or @t455 @t456))) % 34.14/34.56 (assume @p374 (forall @t327 (or @t326 (not @t457)))) % 34.14/34.56 (assume @p375 (forall @t327 (or @t457 @t458))) % 34.14/34.56 (assume @p376 (forall @t206 (or (tptp.c_lessequals @t459 @t62 @t26) @t271 @t225))) % 34.14/34.56 (assume @p377 (forall @t465 (or @t464 (not @t462)))) % 34.14/34.56 (assume @p378 (forall @t465 (or @t462 @t466))) % 34.14/34.56 (assume @p379 (forall @t471 (or (tptp.c_in (tptp.c_Pair @t22 @t470 @t1 @t1) @t49 @t25) @t469))) % 34.14/34.56 (assume @p380 (forall @t473 (or (tptp.c_in (tptp.c_Pair @t472 @t122 @t1 @t1) @t49 @t25) @t469))) % 34.14/34.56 (assume @p381 (forall @t418 (or @t417 @t437))) % 34.14/34.56 (assume @p382 (forall @t416 (or @t436 @t415 @t64))) % 34.14/34.56 (assume @p383 (forall @t441 (or (tptp.c_in (tptp.c_Pair @t440 @t75 @t4 @t1) @t62 @t69) @t439))) % 34.14/34.56 (assume @p384 (forall @t327 (or @t324 @t458 @t474 @t271))) % 34.14/34.56 (assume @p385 (forall @t206 (or @t476 (not (tptp.c_in (tptp.c_Pair @t475 @t475 @t1 @t1) @t62 @t25))))) % 34.14/34.56 (assume @p386 (forall @t206 (or (tptp.c_Relation_Otrans @t453 @t1) @t456 @t271))) % 34.14/34.56 (assume @p387 (forall @t148 (or (= @t237 @t236) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t7 @t4 @t1) @t1 @t4))))) % 34.14/34.56 (assume @p388 (forall @t206 (or @t413 (tptp.c_in (tptp.c_Pair @t477 @t477 @t1 @t1) @t62 @t25)))) % 34.14/34.56 (assume @p389 (= (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))) % 34.14/34.56 (assume @p390 (forall @t297 (or (tptp.c_lessequals @t62 @t459 @t26) @t135))) % 34.14/34.56 (assume @p391 (forall @t206 (= @t230 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t430 @t478 @t26)))) % 34.14/34.56 (assume @p392 (forall @t206 (= @t479 @t230))) % 34.14/34.56 (assume @p393 (forall @t206 (= (tptp.c_Transitive__Closure_Otrancl @t454 @t1) @t230))) % 34.14/34.56 (assume @p394 (forall @t206 (= @t230 @t479))) % 34.14/34.56 (assume @p395 (forall (@list @t43 @t62 @t22 @t1 @t4 @t354) (or @t355 (tptp.c_in (tptp.c_Pair @t356 @t22 @t1 @t1) @t62 @t25)))) % 34.14/34.56 (assume @p396 (forall (@list @t101 @t10 @t1) (or (= @t101 (tptp.c_Pair @t481 @t481 @t1 @t1)) @t480))) % 34.14/34.56 (assume @p397 (forall (@list @t10 @t101 @t1) (or (tptp.c_in @t481 @t10 @t1) @t480))) % 34.14/34.56 (assume @p398 (forall @t206 (or @t63 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t62 @t1) @t482 @t1))))) % 34.14/34.56 (assume @p399 (forall @t206 (or @t63 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t62 @t1) @t482 @t1))))) % 34.14/34.56 (assume @p400 (forall (@list @t59 @t1) (or (= @t59 (tptp.c_Pair @t483 @t483 @t1 @t1)) (not (tptp.c_in @t59 @t430 @t25))))) % 34.14/34.56 (assume @p401 (forall @t486 (or (tptp.c_in (tptp.c_Pair @t485 @t101 @t33 @t4) @t53 @t34) @t484))) % 34.14/34.56 (assume @p402 (forall @t486 (or (tptp.c_in (tptp.c_Pair @t12 @t485 @t1 @t33) @t62 @t36) @t484))) % 34.14/34.56 (assume @p403 (forall @t491 (or @t490 (tptp.c_in (tptp.c_Pair @t487 @t487 @t1 @t1) @t103 @t25)))) % 34.14/34.56 (assume @p404 (forall @t497 (or (tptp.c_in (tptp.c_Pair @t496 @t120 @t1 @t1) @t103 @t25) @t495 @t494))) % 34.14/34.56 (assume @p405 (forall @t471 (or (tptp.c_in (tptp.c_Pair @t22 @t472 @t1 @t1) @t7 @t25) @t469))) % 34.14/34.56 (assume @p406 (forall @t506 (or (tptp.c_in (tptp.c_Pair @t501 @t505 tptp.t_a tptp.t_a) @t499 @t498) @t504 @t503))) % 34.14/34.56 (assume @p407 (forall @t491 (or @t507 @t281))) % 34.14/34.56 (assume @p408 (forall @t511 (or (tptp.c_in (tptp.c_Pair @t510 @t75 @t1 @t1) @t62 @t25) @t211 @t509))) % 34.14/34.56 (assume @p409 (forall @t511 (or (tptp.c_in (tptp.c_Pair @t12 @t510 @t1 @t1) @t103 @t25) @t211 @t509))) % 34.14/34.56 (assume @p410 (forall @t473 (or (tptp.c_in (tptp.c_Pair @t470 @t122 @t1 @t1) @t7 @t25) @t469))) % 34.14/34.56 (assume @p411 (forall @t512 (or (tptp.c_in (tptp.c_Pair @t22 @t496 @t1 @t1) @t62 @t25) @t495 @t494))) % 34.14/34.56 (assume @p412 (forall @t506 (or (tptp.c_in (tptp.c_Pair @t505 @t500 tptp.t_a tptp.t_a) @t62 @t498) @t504 @t503))) % 34.14/34.56 (assume @p413 (forall @t514 (or @t67 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t346 @t1 @t1) @t62 @t25)) @t64))) % 34.14/34.56 (assume @p414 (forall (@list @t65 @t155 @t122 @t62 @t1) (or (tptp.hBOOL (tptp.hAPP @t65 @t155)) @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t277 @t1 @t1) @t62 @t25)) @t64))) % 34.14/34.56 (assume @p415 (forall (@list @t65 @t515 @t122 @t7 @t1) (or (tptp.hBOOL (tptp.hAPP @t65 @t515)) @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t151 @t1 @t1) @t7 @t25)) @t150))) % 34.14/34.56 (assume @p416 (forall @t514 (or @t67 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t66 @t1 @t1) @t62 @t25)) @t64))) % 34.14/34.56 (assume @p417 (forall @t511 (or (tptp.c_in (tptp.c_Pair @t516 @t75 @t1 @t1) @t62 @t25) @t322 @t420))) % 34.14/34.56 (assume @p418 (forall @t497 (or (tptp.c_in (tptp.c_Pair @t519 @t120 @t1 @t1) @t230 @t25) @t518 @t517))) % 34.14/34.56 (assume @p419 (forall @t512 (or (tptp.c_in (tptp.c_Pair @t22 @t519 @t1 @t1) @t62 @t25) @t518 @t517))) % 34.14/34.56 (assume @p420 (forall @t425 (or @t67 (tptp.hBOOL (tptp.hAPP @t65 @t423)) @t422 @t420))) % 34.14/34.56 (assume @p421 (forall @t425 (or @t67 (tptp.c_in (tptp.c_Pair @t423 @t75 @t1 @t1) @t230 @t25) @t422 @t420))) % 34.14/34.56 (assume @p422 (forall @t429 (or @t421 (tptp.c_in (tptp.c_Pair @t12 @t428 @t1 @t1) @t230 @t25) @t426 @t420))) % 34.14/34.56 (assume @p423 (forall @t429 (or @t421 (not (tptp.hBOOL (tptp.hAPP @t65 @t427))) @t426 @t420))) % 34.14/34.56 (assume @p424 (forall @t506 (or (tptp.c_in (tptp.c_Pair @t501 @t523 tptp.t_a tptp.t_a) @t520 @t498) @t522 @t521))) % 34.14/34.56 (assume @p425 (forall @t429 (or @t421 (tptp.hBOOL (tptp.hAPP @t65 @t428)) @t426 @t420))) % 34.14/34.56 (assume @p426 (forall @t506 (or (tptp.c_in (tptp.c_Pair @t523 @t500 tptp.t_a tptp.t_a) @t62 @t498) @t522 @t521))) % 34.14/34.56 (assume @p427 (forall @t425 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t65 @t424))) @t422 @t420))) % 34.14/34.56 (assume @p428 (forall @t511 (or (tptp.c_in (tptp.c_Pair @t12 @t516 @t1 @t1) @t230 @t25) @t322 @t420))) % 34.14/34.56 (assume @p429 (forall (@list @t10 @t9 @t101 @t1 @t4) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t10 @t9 @t101 @t1 @t4) @t10 @t1) (not (tptp.c_in @t101 @t524 @t30))))) % 34.14/34.56 (assume @p430 (forall @t452 (or (tptp.c_Wellfounded_OwfP (tptp.c_FunDef_Oin__rel @t7 @t1 @t1) @t1) @t150))) % 34.14/34.56 (assume @p431 (forall @t206 (tptp.c_Relation_Oirrefl @t453 @t1))) % 34.14/34.56 (assume @p432 (forall (@list @t62 @t1 @t22) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t279 @t230 @t26) @t27)) @t507))) % 34.14/34.56 (assume @p433 (forall @t216 (or (not @t445) @t211 @t431 @t209))) % 34.14/34.56 (assume @p434 (forall @t449 (or @t527 @t209 @t446 @t526 @t96))) % 34.14/34.56 (assume @p435 (forall @t449 (or @t448 @t447 @t526 @t96 @t209))) % 34.14/34.56 (assume @p436 (forall @t449 (or @t527 @t526 @t96 @t209 @t446))) % 34.14/34.56 (assume @p437 (forall (@list @t4 @t1 @t7) (= (tptp.c_Set_Oimage @t383 @t7 @t69 @t1) (tptp.c_Relation_ORange @t7 @t4 @t1)))) % 34.14/34.56 (assume @p438 (forall (@list @t12 @t10 @t1 @t75 @t62) (or @t300 @t322 @t296 @t420))) % 34.14/34.56 (assume @p439 (forall (@list @t1 @t4 @t7) (= (tptp.c_Set_Oimage @t54 @t7 @t30 @t1) (tptp.c_Relation_ODomain @t7 @t1 @t4)))) % 34.14/34.56 (assume @p440 (forall @t529 (or (tptp.c_in @t59 @t230 @t25) @t528))) % 34.14/34.56 (assume @p441 (forall @t529 (or @t444 @t528))) % 34.14/34.56 (assume @p442 (forall @t534 (or @t533 @t531 @t212))) % 34.14/34.56 (assume @p443 (forall @t534 (or @t533 @t535 @t420))) % 34.14/34.56 (assume @p444 (forall @t537 (or @t536 @t469 @t283))) % 34.14/34.56 (assume @p445 (forall @t537 (or @t468 @t283 @t538))) % 34.14/34.56 (assume @p446 (forall (@list @t12 @t75 @t1 @t7) (or (tptp.c_in @t210 @t467 @t25) @t322 (not (tptp.c_in @t210 @t49 @t25))))) % 34.14/34.56 (assume @p447 (forall @t418 (or @t541 (not @t539)))) % 34.14/34.56 (assume @p448 (forall @t416 (or @t539 (not @t541)))) % 34.14/34.56 (assume @p449 (forall (@list @t120 @t122 @t1 @t62 @t22) (or (tptp.c_in (tptp.c_Pair @t120 @t122 @t1 @t1) @t230 @t25) (tptp.c_in @t542 @t230 @t25) @t517 @t417 (not (tptp.c_Relation_Osingle__valued @t62 @t1 @t1))))) % 34.14/34.56 (assume @p450 (forall @t543 (or @t419 @t509))) % 34.14/34.56 (assume @p451 (forall @t534 (or @t533 @t531 @t509))) % 34.14/34.56 (assume @p452 (forall @t544 (or @t493 (not (tptp.c_in @t542 @t103 @t25)) @t417))) % 34.14/34.56 (assume @p453 (forall @t418 (or @t548 (not @t546)))) % 34.14/34.56 (assume @p454 (forall @t418 (or @t546 (not @t548)))) % 34.14/34.56 (assume @p455 (forall (@list @t43 @t4 @t33 @t1 @t12 @t75) (= (tptp.hAPP (tptp.c_split @t43 @t4 @t33 @t1) @t550) @t549))) % 34.14/34.56 (assume @p456 (forall (@list @t43 @t1 @t4 @t33 @t12 @t75) (= (tptp.hAPP @t551 @t222) @t549))) % 34.14/34.56 (assume @p457 (forall (@list @t7 @t12 @t75 @t101 @t1 @t4 @t33) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t7 @t12) @t75) @t101)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t7 @t1 @t4 @t241) @t222) @t101)))))) % 34.14/34.56 (assume @p458 (forall @t432 (or (tptp.c_in @t362 @t407 @t4) @t96))) % 34.14/34.56 (assume @p459 (forall (@list @t43 @t22 @t10 @t4 @t1) (or @t552 @t433))) % 34.14/34.56 (assume @p460 (forall @t408 (or @t433 @t552))) % 34.14/34.56 (assume @p461 (forall (@list @t22 @t10 @t553 @t43 @t1) (or (not (tptp.c_in @t22 @t10 @t553)) (tptp.c_in @t362 (tptp.c_Set_Oimage @t43 @t10 @t553 @t1) @t1)))) % 34.14/34.56 (assume @p462 (forall @t555 (or @t554 @t64))) % 34.14/34.56 (assume @p463 (forall @t133 (tptp.c_Relation_Osingle__valued @t132 @t1 @t1))) % 34.14/34.56 (assume @p464 (forall @t206 (or (tptp.c_Relation_Osym @t103 @t1) @t225))) % 34.14/34.56 (assume @p465 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t65 @t558))) @t557))) % 34.14/34.56 (assume @p466 (forall @t206 (or (= @t103 @t62) @t271))) % 34.14/34.56 (assume @p467 (forall @t562 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t65 @t561))) @t560))) % 34.14/34.56 (assume @p468 (forall @t68 (or @t67 (tptp.c_in @t563 @t482 @t1) @t557))) % 34.14/34.56 (assume @p469 (forall @t206 (or @t224 (not @t564)))) % 34.14/34.56 (assume @p470 (forall @t206 (or @t564 @t225))) % 34.14/34.56 (assume @p471 (forall @t206 (= (tptp.c_Relation_ODomain @t103 @t1 @t1) @t249))) % 34.14/34.56 (assume @p472 (forall @t441 (or (tptp.c_in @t565 @t10 @t4) @t439))) % 34.14/34.56 (assume @p473 (forall @t569 (or (not (tptp.c_in @t568 @t566 @t1)) @t567))) % 34.14/34.56 (assume @p474 (forall @t287 (tptp.c_Relation_Osym @t430 @t1))) % 34.14/34.56 (assume @p475 (forall @t133 (tptp.c_Relation_Otrans @t132 @t1))) % 34.14/34.56 (assume @p476 (forall (@list @t1 @t7 @t4) (= (tptp.c_Relation_Orel__comp @t430 @t7 @t1 @t1 @t4) @t7))) % 34.14/34.56 (assume @p477 (forall @t8 (= (tptp.c_Relation_Orel__comp @t7 (tptp.c_Relation_OId @t4) @t1 @t4 @t4) @t7))) % 34.14/34.56 (assume @p478 (forall @t133 (tptp.c_Relation_Oantisym @t132 @t1))) % 34.14/34.56 (assume @p479 (forall @t206 (or (tptp.c_Wellfounded_Owf @t547 @t1) (not (tptp.c_Wellfounded_Owf @t279 @t1))))) % 34.14/34.56 (assume @p480 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t65 @t563))) @t557))) % 34.14/34.56 (assume @p481 (forall @t327 (or @t134 (not @t570)))) % 34.14/34.56 (assume @p482 (forall @t327 (or @t570 @t135))) % 34.14/34.56 (assume @p483 (forall @t206 (or (tptp.c_Relation_Osym @t230 @t1) @t225))) % 34.14/34.56 (assume @p484 (forall @t452 (or @t571 @t150))) % 34.14/34.56 (assume @p485 (forall @t452 (or @t149 (not @t571)))) % 34.14/34.56 (assume @p486 (forall @t29 (= (tptp.c_Relation_OImage @t430 @t10 @t1 @t1) @t10))) % 34.14/34.56 (assume @p487 (forall @t287 (tptp.c_Relation_Osingle__valued @t430 @t1 @t1))) % 34.14/34.56 (assume @p488 (forall @t133 (= (tptp.c_Relation_ODomain @t132 @t1 @t1) @t10))) % 34.14/34.56 (assume @p489 (forall @t206 (or @t572 @t225))) % 34.14/34.56 (assume @p490 (forall @t206 (or (not @t572) @t224))) % 34.14/34.56 (assume @p491 (forall @t206 (= (tptp.c_Relation_ORange @t103 @t1 @t1) (tptp.c_Relation_ORange @t62 @t1 @t1)))) % 34.14/34.56 (assume @p492 (forall @t206 (tptp.c_Relation_Otrans @t103 @t1))) % 34.14/34.56 (assume @p493 (forall (@list @t62 @t53 @t4 @t33 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t62 @t53 @t4 @t33 @t1) @t4 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t53 @t33 @t1) (tptp.c_Relation_Oconverse @t62 @t4 @t33) @t1 @t33 @t4)))) % 34.14/34.56 (assume @p494 (forall @t133 (tptp.c_Relation_Osym @t132 @t1))) % 34.14/34.56 (assume @p495 (forall @t133 (tptp.c_Relation_Orefl__on @t10 @t132 @t1))) % 34.14/34.56 (assume @p496 (forall @t574 (or (tptp.c_Wellfounded_Owf @t573 @t4) @t64))) % 34.14/34.56 (assume @p497 (forall @t206 (= @t575 @t478))) % 34.14/34.56 (assume @p498 (forall @t574 (or (tptp.c_Relation_Osym @t573 @t4) @t225))) % 34.14/34.56 (assume @p499 (forall @t452 (= (tptp.c_Transitive__Closure_Otrancl @t49 @t1) @t49))) % 34.14/34.56 (assume @p500 (forall @t206 (tptp.c_Relation_Otrans @t230 @t1))) % 34.14/34.56 (assume @p501 (forall @t206 (or @t270 (not @t576)))) % 34.14/34.56 (assume @p502 (forall @t206 (or @t576 @t271))) % 34.14/34.56 (assume @p503 (forall @t287 (= (tptp.c_Relation_Oconverse @t430 @t1 @t1) @t430))) % 34.14/34.56 (assume @p504 (forall @t206 (or (tptp.c_Wellfounded_Owf @t103 @t1) @t64))) % 34.14/34.56 (assume @p505 (forall (@list @t7 @t45 @t1 @t577 @t33 @t332 @t4) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t7 @t45 @t1 @t577 @t33) @t332 @t1 @t33 @t4) (tptp.c_Relation_Orel__comp @t7 (tptp.c_Relation_Orel__comp @t45 @t332 @t577 @t33 @t4) @t1 @t577 @t4)))) % 34.14/34.56 (assume @p506 (forall (@list @t7 @t43 @t4 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t7 @t43 @t4 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t7 @t4 @t4) @t43 @t4 @t1)))) % 34.14/34.56 (assume @p507 (forall @t206 (= @t545 @t547))) % 34.14/34.56 (assume @p508 (forall @t574 (or (tptp.c_Relation_Otrans @t573 @t4) @t271))) % 34.14/34.56 (assume @p509 (forall @t133 (= (tptp.c_Relation_Oconverse @t132 @t1 @t1) @t132))) % 34.14/34.56 (assume @p510 (forall @t206 (or (not @t578) (tptp.c_Equiv__Relations_Oequiv @t249 @t62 @t1)))) % 34.14/34.56 (assume @p511 (forall @t287 (tptp.c_Relation_Oantisym @t430 @t1))) % 34.14/34.56 (assume @p512 (forall @t344 (= (tptp.c_Relation_ORange @t579 @t4 @t1) @t221))) % 34.14/34.56 (assume @p513 (forall (@list @t154 @t62 @t1 @t155) (or (tptp.c_in @t581 @t154 @t1) @t580 @t64))) % 34.14/34.56 (assume @p514 (forall @t133 (= (tptp.c_Relation_ORange @t132 @t1 @t1) @t10))) % 34.14/34.56 (assume @p515 (forall (@list @t62 @t53 @t1 @t4 @t33) (or (tptp.c_Relation_Osingle__valued @t144 @t1 @t33) (not (tptp.c_Relation_Osingle__valued @t53 @t4 @t33)) @t582))) % 34.14/34.56 (assume @p516 (forall @t344 (= (tptp.c_Relation_Oconverse @t579 @t4 @t1) @t62))) % 34.14/34.56 (assume @p517 (forall @t287 (tptp.c_Relation_Otrans @t430 @t1))) % 34.14/34.56 (assume @p518 (forall @t297 (or @t578 @t209))) % 34.14/34.56 (assume @p519 (forall @t452 (= (tptp.c_Relation_Orel__comp @t49 @t49 @t1 @t1 @t1) @t49))) % 34.14/34.56 (assume @p520 (forall @t206 (or @t399 (not @t583)))) % 34.14/34.56 (assume @p521 (forall @t206 (or @t583 @t456))) % 34.14/34.56 (assume @p522 (forall @t562 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t65 @t584))) @t560))) % 34.14/34.56 (assume @p523 (forall @t327 (or @t134 @t209))) % 34.14/34.56 (assume @p524 (forall @t206 (= @t540 (tptp.c_Relation_Oconverse @t230 @t1 @t1)))) % 34.14/34.56 (assume @p525 (forall (@list @t154 @t7 @t1 @t22) (or (tptp.c_in @t586 @t154 @t1) @t585 @t150))) % 34.14/34.56 (assume @p526 (forall @t297 (or @t224 @t209))) % 34.14/34.56 (assume @p527 (forall @t555 (or @t554 (not (tptp.c_in @t587 @t482 @t1))))) % 34.14/34.56 (assume @p528 (forall (@list @t589 @t43 @t12 @t4 @t33 @t10 @t1 @t588) (or (tptp.c_Equiv__Relations_Ocongruent @t589 @t303 @t4 @t33) @t301 @t590 (not (tptp.c_Equiv__Relations_Oequiv @t10 @t588 @t1))))) % 34.14/34.56 (assume @p529 (forall @t410 (= @t591 @t349))) % 34.14/34.56 (assume @p530 (forall @t206 (= @t103 @t478))) % 34.14/34.56 (assume @p531 (forall @t206 (= @t103 @t575))) % 34.14/34.56 (assume @p532 (forall @t410 (= @t349 @t591))) % 34.14/34.56 (assume @p533 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 34.14/34.56 (assume @p534 (forall @t327 (or @t326 (not @t592)))) % 34.14/34.56 (assume @p535 (forall @t327 (or @t592 @t458))) % 34.14/34.56 (assume @p536 (forall @t297 (or @t270 @t209))) % 34.14/34.56 (assume @p537 (forall @t68 (or @t67 (tptp.c_in @t558 @t482 @t1) @t557))) % 34.14/34.56 (assume @p538 (forall @t452 (= (tptp.c_Transitive__Closure_Ortrancl @t467 @t1) @t49))) % 34.14/34.56 (assume @p539 (forall @t206 (= (tptp.c_Transitive__Closure_Ortrancl @t230 @t1) @t230))) % 34.14/34.56 (assume @p540 (forall @t569 (or (tptp.c_in (tptp.c_Pair @t568 @t22 @t1 @t1) @t7 @t25) @t567))) % 34.14/34.56 (assume @p541 (forall @t514 (or @t67 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t563 @t1 @t1) @t62 @t25)) @t557))) % 34.14/34.56 (assume @p542 (forall @t593 (or @t374 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t584 tptp.t_a tptp.t_a) @t62 @t498)) @t560))) % 34.14/34.56 (assume @p543 (forall (@list @t122 @t154 @t1 @t7 @t22) (or @t594 (not (tptp.c_in (tptp.c_Pair @t122 @t586 @t1 @t1) @t7 @t25)) @t585 @t150))) % 34.14/34.56 (assume @p544 (forall (@list @t75 @t62 @t1 @t4) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t75 @t62 @t1 @t4) @t75 @t4 @t1) @t62 @t69) (not (tptp.c_in @t75 @t349 @t1))))) % 34.14/34.56 (assume @p545 (forall @t555 (or @t554 (tptp.c_in (tptp.c_Pair @t587 @t22 @t1 @t1) @t62 @t25)))) % 34.14/34.56 (assume @p546 (forall @t598 (or @t597 @t557 @t596))) % 34.14/34.56 (assume @p547 (forall @t598 (or @t597 @t596 @t557))) % 34.14/34.56 (assume @p548 (forall @t601 (or @t374 @t600 (not (tptp.c_in (tptp.c_Pair @t599 @t561 tptp.t_a tptp.t_a) @t62 @t498)) @t560))) % 34.14/34.56 (assume @p549 (forall (@list @t22 @t7 @t1) (or @t603 @t602))) % 34.14/34.56 (assume @p550 (forall @t593 (or @t374 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t561 tptp.t_a tptp.t_a) @t62 @t498)) @t560))) % 34.14/34.56 (assume @p551 (forall (@list @t43 @t12 @t75 @t1 @t4 @t33 @t10) (or (tptp.c_in @t549 (tptp.c_Set_Oimage @t551 @t10 @t30 @t33) @t33) (not (tptp.c_in @t222 @t10 @t30))))) % 34.14/34.56 (assume @p552 (forall @t606 (or (tptp.c_in (tptp.c_Pair @t12 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t12 @t62 @t1 @t4) @t1 @t4) @t62 @t30) @t605))) % 34.14/34.56 (assume @p553 (forall @t601 (or @t374 @t600 (not (tptp.c_in (tptp.c_Pair @t599 @t584 tptp.t_a tptp.t_a) @t62 @t498)) @t560))) % 34.14/34.56 (assume @p554 (forall @t514 (or @t67 @t513 (not (tptp.c_in (tptp.c_Pair @t122 @t558 @t1 @t1) @t62 @t25)) @t557))) % 34.14/34.56 (assume @p555 (forall (@list @t122 @t154 @t1 @t62 @t155) (or @t594 (not (tptp.c_in (tptp.c_Pair @t122 @t581 @t1 @t1) @t62 @t25)) @t580 @t64))) % 34.14/34.56 (assume @p556 (forall @t606 (or (tptp.c_in (tptp.c_Pair @t12 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t12 @t62 @t1 @t4) @t1 @t4) @t62 @t30) @t605))) % 34.14/34.56 (assume @p557 (forall @t441 (or (tptp.c_in (tptp.c_Pair @t565 @t75 @t4 @t1) @t62 @t69) @t439))) % 34.14/34.56 (assume @p558 (forall @t537 (or @t283 @t538 @t603))) % 34.14/34.56 (assume @p559 (forall @t606 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t12 @t62 @t1 @t4) @t12 @t4 @t1) @t62 @t69) (not @t607)))) % 34.14/34.56 (assume @p560 (not (= tptp.v_b____ tptp.v_a_H____))) % 34.14/34.56 (assume @p561 (not (= tptp.v_a____ tptp.v_b_H____))) % 34.14/34.56 (assume @p562 (forall (@list @t120 @t101 @t4 @t33 @t1 @t12 @t75) (or (tptp.c_in @t120 (tptp.hAPP (tptp.c_split @t101 @t4 @t33 @t2) @t550) @t1) (not (tptp.c_in @t120 (tptp.hAPP (tptp.hAPP @t101 @t12) @t75) @t1))))) % 34.14/34.56 (assume @p563 (forall (@list @t43 @t609 @t612 @t608 @t611 @t4 @t589 @t1 @t588 @t33) (or (= (tptp.hAPP (tptp.hAPP @t43 @t609) @t612) (tptp.hAPP (tptp.hAPP @t43 @t608) @t611)) (not (tptp.c_in (tptp.c_Pair @t612 @t611 @t4 @t4) @t589 @t610)) (not (tptp.c_in (tptp.c_Pair @t609 @t608 @t1 @t1) @t588 @t25)) @t590))) % 34.14/34.56 (assume @p564 (forall (@list @t122 @t120 @t22 @t1 @t4 @t62) (or @t613 (not (tptp.c_in (tptp.c_Pair @t22 @t120 @t1 @t4) @t62 @t30)) (not (tptp.c_in @t382 @t62 @t30)) @t582))) % 34.14/34.56 (assume @p565 (forall (@list @t43 @t7 @t12 @t1 @t4 @t22) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t43 @t7 @t12 @t1 @t4) @t22) @t362) (not (tptp.c_in @t614 @t7 @t25))))) % 34.14/34.56 (assume @p566 (forall (@list @t43 @t62 @t12 @t1 @t4 @t22) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t43 @t62 @t12 @t1 @t4) @t22) @t362) @t615))) % 34.14/34.56 (assume @p567 (forall (@list @t7 @t1 @t4 @t22 @t122) (or @t617 (not @t616)))) % 34.14/34.56 (assume @p568 (forall (@list @t22 @t122 @t1 @t4 @t7) (or @t616 (not @t617)))) % 34.14/34.56 (assume @p569 (forall @t544 (or @t495 @t618 @t447 @t271))) % 34.14/34.56 (assume @p570 (forall @t534 (or (tptp.c_in @t532 @t62 @t25) @t535 @t212 @t271))) % 34.14/34.56 (assume @p571 (forall @t223 (or @t621 (not @t620)))) % 34.14/34.56 (assume @p572 (forall @t623 (or (tptp.c_in @t619 @t579 @t69) @t622))) % 34.14/34.56 (assume @p573 (forall @t623 (or @t620 (not @t621)))) % 34.14/34.56 (assume @p574 (forall @t491 (or @t490 @t474))) % 34.14/34.56 (assume @p575 (forall @t534 (or @t533 @t535 @t509))) % 34.14/34.56 (assume @p576 (forall @t534 (or @t533 @t624 @t212))) % 34.14/34.56 (assume @p577 (forall @t534 (or @t625 @t535 @t420))) % 34.14/34.56 (assume @p578 (forall @t534 (or @t625 @t531 @t212))) % 34.14/34.56 (assume @p579 (forall @t543 (or @t508 @t212))) % 34.14/34.56 (assume @p580 (forall @t534 (or @t625 @t531 @t420))) % 34.14/34.56 (assume @p581 (forall @t627 (tptp.c_in @t626 @t230 @t25))) % 34.14/34.56 (assume @p582 (forall (@list @t22 @t1 @t7) @t602)) % 34.14/34.56 (assume @p583 (forall (@list @t22 @t12 @t1 @t62) (or @t615 (not (tptp.c_in (tptp.c_Pair @t12 @t22 @t1 @t1) @t62 @t25)) @t64))) % 34.14/34.56 (assume @p584 (forall @t418 (or @t283 @t629 @t447 @t456))) % 34.14/34.56 (assume @p585 (forall @t543 (or @t322 (not @t630) @t212 @t456))) % 34.14/34.56 (assume @p586 (forall (@list @t43 @t122 @t120 @t1 @t62 @t4) (or (= @t631 (tptp.hAPP @t43 @t120)) @t618 (not (tptp.c_Equiv__Relations_Ocongruent @t62 @t43 @t1 @t4))))) % 34.14/34.56 (assume @p587 (forall (@list @t22 @t122 @t1 @t10) (or @t283 @t632))) % 34.14/34.56 (assume @p588 (forall (@list @t43 @t62 @t22 @t1 @t4 @t354 @t122) (or (not @t355) (= @t631 (tptp.hAPP @t354 @t122)) @t629))) % 34.14/34.56 (assume @p589 (forall (@list @t12 @t75 @t1) (or @t322 (not (tptp.c_in @t210 @t430 @t25))))) % 34.14/34.56 (assume @p590 (forall @t491 (or @t489 (not @t476)))) % 34.14/34.56 (assume @p591 (forall @t627 (or (not @t633) @t64))) % 34.14/34.56 (assume @p592 (forall (@list @t22 @t122 @t1 @t62 @t43 @t4) (or @t635 (not @t634)))) % 34.14/34.56 (assume @p593 (forall (@list @t43 @t22 @t122 @t4 @t62 @t1) (or @t634 (not @t635)))) % 34.14/34.56 (assume @p594 (forall @t416 (or @t628 @t447 @t225))) % 34.14/34.56 (assume @p595 (forall (@list @t75 @t12 @t1 @t62) (or @t630 @t212 @t225))) % 34.14/34.56 (assume @p596 (forall (@list @t12 @t101 @t1 @t33 @t62 @t53 @t4 @t75) (or (tptp.c_in (tptp.c_Pair @t12 @t101 @t1 @t33) @t144 @t36) (not (tptp.c_in (tptp.c_Pair @t75 @t101 @t4 @t33) @t53 @t141)) @t622))) % 34.14/34.56 (assume @p597 (forall (@list @t12 @t101 @t1 @t7 @t75) (or (tptp.c_in @t532 @t467 @t25) (not (tptp.c_in @t530 @t7 @t25)) (not (tptp.c_in @t210 @t7 @t25))))) % 34.14/34.56 (assume @p598 (forall @t534 (or @t533 @t624 @t509))) % 34.14/34.56 (assume @p599 (forall @t373 (tptp.c_in @t488 @t430 @t25))) % 34.14/34.56 (assume @p600 (forall @t376 (tptp.c_in @t626 @t430 @t25))) % 34.14/34.56 (assume @p601 (forall @t641 (or @t640 @t639 @t283 @t518))) % 34.14/34.56 (assume @p602 (forall @t641 (or @t640 @t639 @t613 @t518))) % 34.14/34.56 (assume @p603 (forall @t644 (not (tptp.c_in @t643 @t642 @t460)))) % 34.14/34.56 (assume @p604 (forall @t645 (not (tptp.c_in @t637 @t642 @t460)))) % 34.14/34.56 (assume @p605 (forall @t641 (or @t638 @t613 (not @t640)))) % 34.14/34.56 (assume @p606 (forall @t645 (or @t283 @t219 (tptp.c_in @t637 @t646 @t460)))) % 34.14/34.56 (assume @p607 (forall @t644 (not (tptp.c_in @t643 @t646 @t460)))) % 34.14/34.56 (assume @p608 (forall @t648 (not (tptp.c_in @t647 @t646 @t460)))) % 34.14/34.56 (assume @p609 (forall @t641 (or @t649 @t639 @t283 @t613))) % 34.14/34.56 (assume @p610 (forall @t641 (or @t649 @t639 @t518 @t613))) % 34.14/34.56 (assume @p611 (forall @t648 (or @t650 @t650 (tptp.c_in @t647 @t642 @t460)))) % 34.14/34.56 (assume @p612 (forall @t641 (or @t638 @t518 (not @t649)))) % 34.14/34.56 (assume @p613 (forall (@list @t12 @t75) (or (tptp.c_in @t651 (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t12 @t75) @t460) @t322))) % 34.14/34.56 (assume @p614 (forall (@list @t12 @t75 @t1 @t4 @t10 @t9) (or @t653 (not @t652) @t301))) % 34.14/34.56 (assume @p615 (forall (@list @t12 @t62 @t1 @t75) (or @t556 @t212 (not @t597)))) % 34.14/34.56 (assume @p616 (forall (@list @t122 @t62 @t1 @t12) (or (tptp.c_in @t122 @t482 @t1) (not (tptp.c_in (tptp.c_Pair @t122 @t12 @t1 @t1) @t62 @t25)) @t557))) % 34.14/34.56 (assume @p617 (forall (@list @t75 @t62 @t10 @t1 @t4 @t12) (or (tptp.c_in @t75 @t412 @t4) @t622 @t301))) % 34.14/34.56 (assume @p618 (forall (@list @t75 @t62 @t10 @t4 @t1 @t22) (or @t438 (not (tptp.c_in (tptp.c_Pair @t22 @t75 @t4 @t1) @t62 @t69)) @t433))) % 34.14/34.56 (assume @p619 (forall (@list @t22 @t10 @t1 @t122) (or @t95 @t632))) % 34.14/34.56 (assume @p620 (forall (@list @t22 @t1 @t10) (or (tptp.c_in @t488 @t132 @t25) @t96))) % 34.14/34.56 (assume @p621 (forall @t654 (or @t525 @t447 @t209))) % 34.14/34.56 (assume @p622 (forall @t655 (or @t95 @t447 @t209))) % 34.14/34.56 (assume @p623 (forall (@list @t12 @t62 @t4 @t1 @t22) (or @t607 (not (tptp.c_in (tptp.c_Pair @t22 @t12 @t4 @t1) @t62 @t69))))) % 34.14/34.56 (assume @p624 (forall (@list @t75 @t62 @t1 @t4 @t12) (or (tptp.c_in @t75 (tptp.c_Relation_ORange @t62 @t1 @t4) @t4) @t622))) % 34.14/34.56 (assume @p625 (forall (@list @t12 @t62 @t1 @t4 @t22) (or @t604 (not (tptp.c_in (tptp.c_Pair @t12 @t22 @t1 @t4) @t62 @t30))))) % 34.14/34.56 (assume @p626 (forall (@list @t12 @t62 @t1 @t4 @t75) (or @t604 @t622))) % 34.14/34.56 (assume @p627 (forall (@list @t75 @t9 @t12 @t4 @t1 @t10) (or @t652 @t656))) % 34.14/34.56 (assume @p628 (forall (@list @t12 @t10 @t1 @t75 @t4 @t9) (or @t300 @t656))) % 34.14/34.56 (assume @p629 (forall (@list @t155 @t22 @t1 @t62 @t10) (or (tptp.c_in (tptp.c_Pair @t155 @t22 @t1 @t1) @t62 @t25) (tptp.c_in (tptp.c_Pair @t22 @t155 @t1 @t1) @t62 @t25) (= @t22 @t155) (not (tptp.c_in @t155 @t10 @t1)) @t96 @t458))) % 34.14/34.56 (assume @p630 (forall (@list @t22 @t1 @t62 @t10) (or @t489 @t96 @t135))) % 34.14/34.56 (assume @p631 (forall @t654 (or @t525 @t447 @t135))) % 34.14/34.56 (assume @p632 (forall @t655 (or @t95 @t447 @t135))) % 34.14/34.56 (assume @p633 (forall (@list @t12 @t1 @t62 @t10) (or @t633 @t301 @t135))) % 34.14/34.56 (assume @p634 (not (= tptp.v_a____ tptp.v_b____))) % 34.14/34.56 (assume @p635 (forall @t660 (or @t659 (= @t75 @t657)))) % 34.14/34.56 (assume @p636 (forall @t660 (or @t659 (= @t12 @t658)))) % 34.14/34.56 (assume @p637 (forall (@list @t22 @t45 @t1) (or @t662 (not @t661)))) % 34.14/34.56 (assume @p638 (forall (@list @t45 @t22 @t1) (or @t661 (not @t662)))) % 34.14/34.56 (assume @p639 @t664) % 34.14/34.56 (assume @p640 @t665) % 34.14/34.56 (assume @p641 (forall @t676 (or @t675 @t674 @t672 @t670 @t667 @t666))) % 34.14/34.56 (assume @p642 (forall @t678 (or @t673 @t677 @t672 @t670 @t667 @t666))) % 34.14/34.56 (assume @p643 (forall @t676 (or @t675 @t674 @t671 @t669 @t667 @t666))) % 34.14/34.56 (assume @p644 (forall @t678 (or @t673 @t677 @t671 @t669 @t667 @t666))) % 34.14/34.56 (assume @p645 @t679) % 34.14/34.56 (assume @p646 (forall @t465 (or @t464 (not @t680)))) % 34.14/34.56 (assume @p647 @t681) % 34.14/34.56 (assume @p648 (not @t682)) % 34.14/34.56 (assume @p649 (forall @t687 (or (tptp.class_Lattices_Oupper__semilattice @t686) @t684))) % 34.14/34.56 (assume @p650 (forall @t687 (or (tptp.class_Lattices_Olower__semilattice @t686) @t684))) % 34.14/34.56 (assume @p651 (forall @t687 (or (tptp.class_Lattices_Odistrib__lattice @t686) (not (tptp.class_Lattices_Odistrib__lattice @t683))))) % 34.14/34.56 (assume @p652 (forall @t687 (or (tptp.class_Lattices_Obounded__lattice @t686) (not (tptp.class_Lattices_Obounded__lattice @t683))))) % 34.14/34.56 (assume @p653 (forall @t687 (or (tptp.class_Orderings_Opreorder @t686) (not (tptp.class_Orderings_Opreorder @t683))))) % 34.14/34.56 (assume @p654 (forall @t687 (or (tptp.class_Lattices_Olattice @t686) @t684))) % 34.14/34.56 (assume @p655 (forall @t687 (or (tptp.class_Orderings_Oorder @t686) (not (tptp.class_Orderings_Oorder @t683))))) % 34.14/34.56 (assume @p656 (forall @t687 (or (tptp.class_Orderings_Obot @t686) (not (tptp.class_Orderings_Obot @t683))))) % 34.14/34.56 (assume @p657 (forall @t687 (or (tptp.class_HOL_Oord @t686) (not (tptp.class_HOL_Oord @t683))))) % 34.14/34.56 (assume @p658 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 34.14/34.56 (assume @p659 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 34.14/34.56 (assume @p660 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 34.14/34.56 (assume @p661 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 34.14/34.56 (assume @p662 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 34.14/34.56 (assume @p663 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 34.14/34.56 (assume @p664 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 34.14/34.56 (assume @p665 (tptp.class_Orderings_Obot tptp.tc_bool)) % 34.14/34.56 (assume @p666 (tptp.class_HOL_Oord tptp.tc_bool)) % 34.14/34.56 (assume @p667 (forall @t373 (tptp.c_fequal @t22 @t22 @t1))) % 34.14/34.56 (assume @p668 (forall (@list @t689 @t688 @t1) (or (= @t689 @t688) (not (tptp.c_fequal @t689 @t688 @t1))))) % 34.14/34.56 (step @p669 :rule instantiate :premises (@p641) :args (@t690)) % 34.14/34.56 (step @p670 :rule instantiate :premises (@p643) :args (@t690)) % 34.14/34.56 (step @p671 :rule cnf_or_pos :args (@t697)) % 34.14/34.56 (step @p672 :rule reordering :premises (@p671) :args ((or @t682 @t691 @t692 @t696 @t695 @t694 (not @t697)))) % 34.14/34.56 (step @p673 :rule instantiate :premises (@p646) :args (@t698)) % 34.14/34.56 (step @p674 :rule cnf_or_pos :args (@t700)) % 34.14/34.56 (step @p675 :rule reordering :premises (@p674) :args ((or @t695 @t699 (not @t700)))) % 34.14/34.56 (step @p676 :rule chain_m_resolution :premises (@p675 @p673 @p672 @p670 @p648 @p645 @p640 @p639) :args (@t695 (@list false false false true false false false) (@list @t700 @t694 @t697 @t682 @t679 @t665 @t664))) % 34.14/34.56 (step @p677 :rule cnf_or_pos :args (@t702)) % 34.14/34.56 (step @p678 :rule reordering :premises (@p677) :args ((or @t682 @t691 @t692 @t696 @t701 @t699 (not @t702)))) % 34.14/34.56 (step @p679 :rule chain_m_resolution :premises (@p678 @p648 @p639 @p640 @p645 @p676 @p669) :args (@t699 (@list true false false false false false) (@list @t682 @t664 @t665 @t679 @t695 @t702))) % 34.14/34.56 (step @p680 :rule cnf_or_pos :args (@t703)) % 34.14/34.56 (step @p681 :rule reordering :premises (@p680) :args ((or @t701 @t694 @t704))) % 34.14/34.56 (step @p682 :rule chain_m_resolution :premises (@p681 @p676 @p679) :args (@t704 (@list false true) (@list @t695 @t694))) % 34.14/34.56 (assume-push @p689 @t681) % 34.14/34.56 (step @p684 :rule instantiate :premises (@p647) :args (@t698)) % 34.14/34.56 (step-pop @p690 :rule scope :premises (@p684)) % 34.14/34.56 (step @p685 :rule process_scope :premises (@p690) :args (@t703)) % 34.14/34.56 (step @p687 :rule implies_elim :premises (@p685)) % 34.14/34.56 (step @p688 false :rule chain_m_resolution :premises (@p687 @p682 @p647) :args (false (@list true false) (@list @t703 @t681))) % 34.14/34.56 ) % 34.14/34.56 % SZS output end Proof % 34.14/34.56 % cvc5 exiting %------------------------------------------------------------------------------