%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT074-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:15 AM UTC 2026 % Result : Unsatisfiable 0.51s 1.00s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT074-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:24:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/1.00 % SZS status Unsatisfiable % 0.51/1.00 % SZS output start Proof % 0.51/1.02 ( % 0.51/1.02 (declare-sort $$unsorted 0) % 0.51/1.02 (declare-const tptp.v_Lab____ $$unsorted) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_r $$unsorted) % 0.51/1.02 (declare-const tptp.t_b $$unsorted) % 0.51/1.02 (declare-const tptp.t_a $$unsorted) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.51/1.02 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.v_b____ $$unsorted) % 0.51/1.02 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_fst (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.tc_bool $$unsorted) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.v_a____ $$unsorted) % 0.51/1.02 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_snd (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/1.02 (define @t1 () (@var "T_a" $$unsorted)) % 0.51/1.02 (define @t2 () (@var "T_b" $$unsorted)) % 0.51/1.02 (define @t3 () (@var "V_r" $$unsorted)) % 0.51/1.02 (define @t4 () (tptp.c_Relation_ODomain @t3 @t1 @t2)) % 0.51/1.02 (define @t5 () (@var "V_a" $$unsorted)) % 0.51/1.02 (define @t6 () (tptp.tc_prod @t1 @t2)) % 0.51/1.02 (define @t7 () (@var "V_b" $$unsorted)) % 0.51/1.02 (define @t8 () (tptp.c_Pair @t5 @t7 @t1 @t2)) % 0.51/1.02 (define @t9 () (@list @t5 @t7 @t1 @t2 @t3)) % 0.51/1.02 (define @t10 () (@var "V_x" $$unsorted)) % 0.51/1.02 (define @t11 () (@var "V_A" $$unsorted)) % 0.51/1.02 (define @t12 () (@var "V_y" $$unsorted)) % 0.51/1.02 (define @t13 () (tptp.c_Set_Oinsert @t12 @t11 @t1)) % 0.51/1.02 (define @t14 () (tptp.hBOOL (tptp.hAPP @t13 @t10))) % 0.51/1.02 (define @t15 () (= @t12 @t10)) % 0.51/1.02 (define @t16 () (tptp.hBOOL (tptp.hAPP @t11 @t10))) % 0.51/1.02 (define @t17 () (tptp.c_Set_Oinsert @t10 @t11 @t1)) % 0.51/1.02 (define @t18 () (@list @t10 @t11 @t1)) % 0.51/1.02 (define @t19 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.51/1.02 (define @t20 () (tptp.c_Orderings_Obot__class_Obot @t19)) % 0.51/1.02 (define @t21 () (tptp.tc_fun @t2 tptp.tc_bool)) % 0.51/1.02 (define @t22 () (tptp.c_Orderings_Obot__class_Obot @t21)) % 0.51/1.02 (define @t23 () (@var "V_R" $$unsorted)) % 0.51/1.02 (define @t24 () (@list @t23 @t2 @t1)) % 0.51/1.02 (define @t25 () (@var "V_B" $$unsorted)) % 0.51/1.02 (define @t26 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t25 @t19)) % 0.51/1.02 (define @t27 () (tptp.c_Set_Oinsert @t5 @t26 @t1)) % 0.51/1.02 (define @t28 () (tptp.c_Set_Oinsert @t5 @t25 @t1)) % 0.51/1.02 (define @t29 () (tptp.c_Set_Oinsert @t5 @t11 @t1)) % 0.51/1.02 (define @t30 () (@list @t5 @t11 @t1)) % 0.51/1.02 (define @t31 () (tptp.c_Set_Oinsert @t5 @t20 @t1)) % 0.51/1.02 (define @t32 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t31 @t19)) % 0.51/1.02 (define @t33 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t28 @t19)) % 0.51/1.02 (define @t34 () (@list @t11 @t5 @t25 @t1)) % 0.51/1.02 (define @t35 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t25 @t19)) % 0.51/1.02 (define @t36 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.51/1.02 (define @t37 () (@list @t1 @t10)) % 0.51/1.02 (define @t38 () (tptp.tc_prod @t1 @t1)) % 0.51/1.02 (define @t39 () (tptp.tc_fun @t38 tptp.tc_bool)) % 0.51/1.02 (define @t40 () (tptp.c_Orderings_Obot__class_Obot @t39)) % 0.51/1.02 (define @t41 () (@list @t1 @t25)) % 0.51/1.02 (define @t42 () (@list @t1 @t11)) % 0.51/1.02 (define @t43 () (tptp.tc_fun @t6 tptp.tc_bool)) % 0.51/1.02 (define @t44 () (tptp.c_Orderings_Obot__class_Obot @t43)) % 0.51/1.02 (define @t45 () (@var "T_c" $$unsorted)) % 0.51/1.02 (define @t46 () (tptp.tc_prod @t45 @t2)) % 0.51/1.02 (define @t47 () (tptp.tc_fun @t46 tptp.tc_bool)) % 0.51/1.02 (define @t48 () (tptp.tc_prod @t1 @t45)) % 0.51/1.02 (define @t49 () (tptp.tc_fun @t48 tptp.tc_bool)) % 0.51/1.02 (define @t50 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t19)) % 0.51/1.02 (define @t51 () (@var "V_C" $$unsorted)) % 0.51/1.02 (define @t52 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t51 @t19)) % 0.51/1.02 (define @t53 () (@list @t5 @t25 @t1 @t51)) % 0.51/1.02 (define @t54 () (= @t11 @t22)) % 0.51/1.02 (define @t55 () (@var "V_f" $$unsorted)) % 0.51/1.02 (define @t56 () (tptp.c_Set_Oimage @t55 @t11 @t2 @t1)) % 0.51/1.02 (define @t57 () (@var "V_S" $$unsorted)) % 0.51/1.02 (define @t58 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t57 @t39)) % 0.51/1.02 (define @t59 () (tptp.c_Transitive__Closure_Ortrancl @t58 @t1)) % 0.51/1.02 (define @t60 () (tptp.c_Transitive__Closure_Ortrancl @t57 @t1)) % 0.51/1.02 (define @t61 () (tptp.c_Transitive__Closure_Ortrancl @t23 @t1)) % 0.51/1.02 (define @t62 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t60 @t39)) % 0.51/1.02 (define @t63 () (@list @t23 @t1 @t57)) % 0.51/1.02 (define @t64 () (@var "V_t" $$unsorted)) % 0.51/1.02 (define @t65 () (@var "V_s" $$unsorted)) % 0.51/1.02 (define @t66 () (tptp.c_fst @t1 @t2)) % 0.51/1.02 (define @t67 () (tptp.hAPP @t66 @t64)) % 0.51/1.02 (define @t68 () (tptp.c_snd @t1 @t2)) % 0.51/1.02 (define @t69 () (tptp.hAPP @t68 @t64)) % 0.51/1.02 (define @t70 () (@var "V_q" $$unsorted)) % 0.51/1.02 (define @t71 () (@var "V_p" $$unsorted)) % 0.51/1.02 (define @t72 () (tptp.hAPP @t66 @t71)) % 0.51/1.02 (define @t73 () (tptp.hAPP @t68 @t71)) % 0.51/1.02 (define @t74 () (tptp.c_Wellfounded_Owf @t3 @t1)) % 0.51/1.02 (define @t75 () (not @t74)) % 0.51/1.02 (define @t76 () (@var "V_P" $$unsorted)) % 0.51/1.02 (define @t77 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t76 @t3 @t1)) % 0.51/1.02 (define @t78 () (tptp.hBOOL (tptp.hAPP @t76 @t5))) % 0.51/1.02 (define @t79 () (@list @t76 @t5 @t3 @t1)) % 0.51/1.02 (define @t80 () (tptp.tc_prod @t2 @t1)) % 0.51/1.02 (define @t81 () (tptp.tc_fun @t80 tptp.tc_bool)) % 0.51/1.02 (define @t82 () (tptp.c_Relation_ORange @t25 @t2 @t1)) % 0.51/1.02 (define @t83 () (tptp.c_Relation_ORange @t11 @t2 @t1)) % 0.51/1.02 (define @t84 () (tptp.c_lessequals @t11 @t25 @t19)) % 0.51/1.02 (define @t85 () (not @t84)) % 0.51/1.02 (define @t86 () (tptp.c_Set_Oinsert @t7 @t25 @t1)) % 0.51/1.02 (define @t87 () (tptp.c_lessequals @t17 @t25 @t19)) % 0.51/1.02 (define @t88 () (not @t87)) % 0.51/1.02 (define @t89 () (@list @t11 @t25 @t1 @t10)) % 0.51/1.02 (define @t90 () (tptp.c_in @t10 @t25 @t1)) % 0.51/1.02 (define @t91 () (not @t90)) % 0.51/1.02 (define @t92 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t25 @t19)) % 0.51/1.02 (define @t93 () (@list @t10 @t11 @t1 @t25)) % 0.51/1.02 (define @t94 () (not (tptp.c_in @t10 @t51 @t1))) % 0.51/1.02 (define @t95 () (tptp.c_lessequals @t11 @t25 @t21)) % 0.51/1.02 (define @t96 () (tptp.c_COMBK @t51 @t19 @t2)) % 0.51/1.02 (define @t97 () (tptp.c_Product__Type_OSigma @t25 @t96 @t2 @t1)) % 0.51/1.02 (define @t98 () (tptp.c_Product__Type_OSigma @t11 @t96 @t2 @t1)) % 0.51/1.02 (define @t99 () (tptp.c_lessequals @t98 @t97 @t81)) % 0.51/1.02 (define @t100 () (@list @t11 @t51 @t1 @t2 @t25 @t10)) % 0.51/1.02 (define @t101 () (tptp.c_Set_Oinsert @t10 @t20 @t1)) % 0.51/1.02 (define @t102 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t11 @t101 @t19) @t25 @t19)) % 0.51/1.02 (define @t103 () (not @t102)) % 0.51/1.02 (define @t104 () (tptp.c_in @t10 @t11 @t1)) % 0.51/1.02 (define @t105 () (not @t104)) % 0.51/1.02 (define @t106 () (tptp.c_Set_Oinsert @t10 @t25 @t1)) % 0.51/1.02 (define @t107 () (tptp.c_lessequals @t11 @t106 @t19)) % 0.51/1.02 (define @t108 () (@list @t11 @t10 @t25 @t1)) % 0.51/1.02 (define @t109 () (not @t107)) % 0.51/1.02 (define @t110 () (@var "V_c" $$unsorted)) % 0.51/1.02 (define @t111 () (not (tptp.c_lessequals @t3 @t65 @t39))) % 0.51/1.02 (define @t112 () (tptp.c_Transitive__Closure_Otrancl @t3 @t1)) % 0.51/1.02 (define @t113 () (@list @t3 @t1 @t65)) % 0.51/1.02 (define @t114 () (@var "V_J" $$unsorted)) % 0.51/1.02 (define @t115 () (tptp.c_Product__Type_OSigma @t114 @t51 @t1 @t2)) % 0.51/1.02 (define @t116 () (@var "V_I" $$unsorted)) % 0.51/1.02 (define @t117 () (tptp.c_Product__Type_OSigma @t116 @t51 @t1 @t2)) % 0.51/1.02 (define @t118 () (@list @t116 @t114 @t1 @t51 @t2)) % 0.51/1.02 (define @t119 () (not (= @t26 @t20))) % 0.51/1.02 (define @t120 () (@list @t11 @t25 @t1)) % 0.51/1.02 (define @t121 () (tptp.c_Relation_ODomain @t25 @t1 @t2)) % 0.51/1.02 (define @t122 () (tptp.c_Relation_ODomain @t11 @t1 @t2)) % 0.51/1.02 (define @t123 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t11 @t19)) % 0.51/1.02 (define @t124 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t11 @t19)) % 0.51/1.02 (define @t125 () (@list @t25 @t51 @t1 @t11)) % 0.51/1.02 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t51 @t19)) % 0.51/1.02 (define @t127 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t52 @t19)) % 0.51/1.02 (define @t128 () (@list @t11 @t25 @t51 @t1)) % 0.51/1.02 (define @t129 () (@var "V_z" $$unsorted)) % 0.51/1.02 (define @t130 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t129 @t1)) % 0.51/1.02 (define @t131 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t12 @t1)) % 0.51/1.02 (define @t132 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t130 @t1)) % 0.51/1.02 (define @t133 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t129 @t1)) % 0.51/1.02 (define @t134 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t133 @t1)) % 0.51/1.02 (define @t135 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.51/1.02 (define @t136 () (@list @t1 @t10 @t12 @t129)) % 0.51/1.02 (define @t137 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t10 @t1)) % 0.51/1.02 (define @t138 () (@list @t1 @t12 @t129 @t10)) % 0.51/1.02 (define @t139 () (tptp.c_Product__Type_OSigma @t11 (tptp.c_COMBK @t11 @t19 @t1) @t1 @t1)) % 0.51/1.02 (define @t140 () (tptp.c_Relation_OId__on @t11 @t1)) % 0.51/1.02 (define @t141 () (@list @t11 @t1)) % 0.51/1.02 (define @t142 () (tptp.c_Relation_Orefl__on @t11 @t3 @t1)) % 0.51/1.02 (define @t143 () (not @t142)) % 0.51/1.02 (define @t144 () (tptp.c_lessequals @t3 @t139 @t39)) % 0.51/1.02 (define @t145 () (@list @t3 @t11 @t1)) % 0.51/1.02 (define @t146 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.51/1.02 (define @t147 () (@var "V_r_H" $$unsorted)) % 0.51/1.02 (define @t148 () (not (tptp.c_lessequals @t147 @t3 @t43))) % 0.51/1.02 (define @t149 () (tptp.tc_prod @t2 @t45)) % 0.51/1.02 (define @t150 () (tptp.tc_fun @t149 tptp.tc_bool)) % 0.51/1.02 (define @t151 () (@var "V_s_H" $$unsorted)) % 0.51/1.02 (define @t152 () (tptp.c_Relation_Orel__comp @t3 @t65 @t1 @t2 @t45)) % 0.51/1.02 (define @t153 () (tptp.c_Relation_OImage @t23 @t11 @t2 @t1)) % 0.51/1.02 (define @t154 () (tptp.c_Relation_OImage @t23 @t25 @t2 @t1)) % 0.51/1.02 (define @t155 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t21)) % 0.51/1.02 (define @t156 () (@list @t23 @t11 @t25 @t2 @t1)) % 0.51/1.02 (define @t157 () (tptp.c_Wellfounded_Owf @t23 @t1)) % 0.51/1.02 (define @t158 () (not @t157)) % 0.51/1.02 (define @t159 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t76 @t23 @t1)) % 0.51/1.02 (define @t160 () (@var "V_Rb" $$unsorted)) % 0.51/1.02 (define @t161 () (@var "V_Q" $$unsorted)) % 0.51/1.02 (define @t162 () (not (tptp.c_Equiv__Relations_Oequiv @t11 @t3 @t1))) % 0.51/1.02 (define @t163 () (tptp.c_in @t12 @t11 @t1)) % 0.51/1.02 (define @t164 () (not @t163)) % 0.51/1.02 (define @t165 () (tptp.c_Pair @t10 @t12 @t1 @t1)) % 0.51/1.02 (define @t166 () (tptp.c_in @t165 @t3 @t38)) % 0.51/1.02 (define @t167 () (not @t166)) % 0.51/1.02 (define @t168 () (tptp.c_Set_Oinsert @t12 @t20 @t1)) % 0.51/1.02 (define @t169 () (= (tptp.c_Equiv__Relations_Oquotient @t101 @t3 @t1) (tptp.c_Equiv__Relations_Oquotient @t168 @t3 @t1))) % 0.51/1.02 (define @t170 () (@list @t10 @t1 @t3 @t12 @t11)) % 0.51/1.02 (define @t171 () (@var "V_xa" $$unsorted)) % 0.51/1.02 (define @t172 () (tptp.c_COMBK @t25 @t21 @t1)) % 0.51/1.02 (define @t173 () (not (tptp.c_lessequals @t3 (tptp.c_Product__Type_OSigma @t11 @t172 @t1 @t2) @t43))) % 0.51/1.02 (define @t174 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t10 @t1)) % 0.51/1.02 (define @t175 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.51/1.02 (define @t176 () (@var "V_y_H" $$unsorted)) % 0.51/1.02 (define @t177 () (@var "V_x_H" $$unsorted)) % 0.51/1.02 (define @t178 () (tptp.c_HOL_Ominus__class_Ominus @t177 @t176 @t1)) % 0.51/1.02 (define @t179 () (tptp.c_Set_Oimage @t55 @t22 @t2 @t1)) % 0.51/1.02 (define @t180 () (tptp.c_Set_Oimage @t55 @t25 @t2 @t1)) % 0.51/1.02 (define @t181 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t51 @t19)) % 0.51/1.02 (define @t182 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t52 @t19)) % 0.51/1.02 (define @t183 () (@list @t11 @t25 @t1 @t51)) % 0.51/1.02 (define @t184 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t133 @t1)) % 0.51/1.02 (define @t185 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t12 @t1)) % 0.51/1.02 (define @t186 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t185 @t129 @t1) @t184)) % 0.51/1.02 (define @t187 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t129 @t1)) % 0.51/1.02 (define @t188 () (= @t184 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t187 @t1))) % 0.51/1.02 (define @t189 () (not (tptp.class_Lattices_Olattice @t1))) % 0.51/1.02 (define @t190 () (not (tptp.c_lessequals @t25 @t11 @t19))) % 0.51/1.02 (define @t191 () (tptp.c_lessequals @t10 @t12 @t1)) % 0.51/1.02 (define @t192 () (not @t191)) % 0.51/1.02 (define @t193 () (= @t131 @t10)) % 0.51/1.02 (define @t194 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.51/1.02 (define @t195 () (@list @t1 @t10 @t12)) % 0.51/1.02 (define @t196 () (tptp.c_lessequals @t12 @t10 @t1)) % 0.51/1.02 (define @t197 () (not @t196)) % 0.51/1.02 (define @t198 () (tptp.c_lessequals @t11 @t51 @t19)) % 0.51/1.02 (define @t199 () (not @t198)) % 0.51/1.02 (define @t200 () (tptp.c_lessequals @t25 @t51 @t19)) % 0.51/1.02 (define @t201 () (not @t200)) % 0.51/1.02 (define @t202 () (tptp.c_lessequals @t50 @t51 @t19)) % 0.51/1.02 (define @t203 () (@list @t25 @t11 @t1)) % 0.51/1.02 (define @t204 () (tptp.c_lessequals @t5 @t10 @t1)) % 0.51/1.02 (define @t205 () (not @t204)) % 0.51/1.02 (define @t206 () (tptp.c_lessequals @t7 @t10 @t1)) % 0.51/1.02 (define @t207 () (not @t206)) % 0.51/1.02 (define @t208 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t7 @t1)) % 0.51/1.02 (define @t209 () (tptp.c_lessequals @t208 @t10 @t1)) % 0.51/1.02 (define @t210 () (@list @t1 @t5 @t7 @t10)) % 0.51/1.02 (define @t211 () (tptp.c_lessequals @t10 @t185 @t1)) % 0.51/1.02 (define @t212 () (tptp.c_lessequals @t12 @t185 @t1)) % 0.51/1.02 (define @t213 () (@list @t1 @t12 @t10)) % 0.51/1.02 (define @t214 () (tptp.c_lessequals @t129 @t10 @t1)) % 0.51/1.02 (define @t215 () (tptp.c_lessequals @t10 @t129 @t1)) % 0.51/1.02 (define @t216 () (not @t215)) % 0.51/1.02 (define @t217 () (tptp.c_lessequals @t12 @t129 @t1)) % 0.51/1.02 (define @t218 () (not @t217)) % 0.51/1.02 (define @t219 () (tptp.c_lessequals @t185 @t129 @t1)) % 0.51/1.02 (define @t220 () (= @t131 @t137)) % 0.51/1.02 (define @t221 () (tptp.c_Wellfounded_Oacyclic @t3 @t1)) % 0.51/1.02 (define @t222 () (@list @t3 @t1)) % 0.51/1.02 (define @t223 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t11 @t19)) % 0.51/1.02 (define @t224 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t223 @t19)) % 0.51/1.02 (define @t225 () (tptp.c_Pair @t5 @t7 @t1 @t1)) % 0.51/1.02 (define @t226 () (tptp.c_in @t225 @t3 @t38)) % 0.51/1.02 (define @t227 () (not @t226)) % 0.51/1.02 (define @t228 () (tptp.c_Set_Oinsert @t7 @t20 @t1)) % 0.51/1.02 (define @t229 () (tptp.c_Relation_OImage @t3 @t228 @t1 @t1)) % 0.51/1.02 (define @t230 () (tptp.c_Relation_OImage @t3 @t31 @t1 @t1)) % 0.51/1.02 (define @t231 () (@list @t3 @t5 @t1 @t7 @t11)) % 0.51/1.02 (define @t232 () (tptp.c_Relation_Osym @t3 @t1)) % 0.51/1.02 (define @t233 () (not @t232)) % 0.51/1.02 (define @t234 () (not (tptp.c_Relation_Osym @t65 @t1))) % 0.51/1.02 (define @t235 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t65 @t39)) % 0.51/1.02 (define @t236 () (@list @t3 @t65 @t1)) % 0.51/1.02 (define @t237 () (tptp.c_Transitive__Closure_Ortrancl @t65 @t1)) % 0.51/1.02 (define @t238 () (tptp.c_Transitive__Closure_Ortrancl @t3 @t1)) % 0.51/1.02 (define @t239 () (tptp.c_lessequals @t238 @t237 @t39)) % 0.51/1.02 (define @t240 () (@list @t11 @t25 @t1 @t2)) % 0.51/1.02 (define @t241 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.51/1.02 (define @t242 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t25 @t21)) % 0.51/1.02 (define @t243 () (@list @t55 @t11 @t25 @t2 @t1)) % 0.51/1.02 (define @t244 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t153 @t154 @t19)) % 0.51/1.02 (define @t245 () (tptp.c_Relation_OImage @t23 @t242 @t2 @t1)) % 0.51/1.02 (define @t246 () (tptp.c_lessequals @t51 @t11 @t19)) % 0.51/1.02 (define @t247 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t51 @t19) @t127)) % 0.51/1.02 (define @t248 () (not @t246)) % 0.51/1.02 (define @t249 () (tptp.tc_fun @t45 tptp.tc_bool)) % 0.51/1.02 (define @t250 () (tptp.c_Wellfounded_Owf @t58 @t1)) % 0.51/1.02 (define @t251 () (@list @t23 @t57 @t1)) % 0.51/1.02 (define @t252 () (tptp.hBOOL (tptp.hAPP @t50 @t10))) % 0.51/1.02 (define @t253 () (tptp.hBOOL (tptp.hAPP @t25 @t10))) % 0.51/1.02 (define @t254 () (@list @t25 @t10 @t11 @t1)) % 0.51/1.02 (define @t255 () (not @t253)) % 0.51/1.02 (define @t256 () (not @t16)) % 0.51/1.02 (define @t257 () (tptp.c_Relation_ODomain @t3 @t1 @t1)) % 0.51/1.02 (define @t258 () (tptp.c_COMBK @t51 @t21 @t1)) % 0.51/1.02 (define @t259 () (tptp.c_Product__Type_OSigma @t25 @t258 @t1 @t2)) % 0.51/1.02 (define @t260 () (tptp.c_Product__Type_OSigma @t11 @t258 @t1 @t2)) % 0.51/1.02 (define @t261 () (@list @t11 @t25 @t1 @t51 @t2)) % 0.51/1.02 (define @t262 () (not (tptp.c_Relation_Orefl__on @t25 @t65 @t1))) % 0.51/1.02 (define @t263 () (@list @t11 @t25 @t1 @t3 @t65)) % 0.51/1.02 (define @t264 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t129 @t1)) % 0.51/1.02 (define @t265 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t264 @t1)) % 0.51/1.02 (define @t266 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t131 @t129 @t1) @t265)) % 0.51/1.02 (define @t267 () (= @t265 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t130 @t1))) % 0.51/1.02 (define @t268 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t51 @t19)) % 0.51/1.02 (define @t269 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t268 @t19)) % 0.51/1.02 (define @t270 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t7 @t25 @t2) @t21 @t1)) % 0.51/1.02 (define @t271 () (= @t11 @t20)) % 0.51/1.02 (define @t272 () (@list @t51 @t11 @t25 @t1)) % 0.51/1.02 (define @t273 () (tptp.c_HOL_Ominus__class_Ominus @t126 @t268 @t19)) % 0.51/1.02 (define @t274 () (tptp.c_COMBK @t110 @t1 @t2)) % 0.51/1.02 (define @t275 () (@var "V_D" $$unsorted)) % 0.51/1.02 (define @t276 () (@list @t11 @t25 @t1 @t51 @t275)) % 0.51/1.02 (define @t277 () (@list @t10 @t25 @t1 @t11)) % 0.51/1.02 (define @t278 () (tptp.c_Relation_Otrans @t3 @t1)) % 0.51/1.02 (define @t279 () (not @t278)) % 0.51/1.02 (define @t280 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t65 @t39)) % 0.51/1.02 (define @t281 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t185 @t187 @t1)) % 0.51/1.02 (define @t282 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t264 @t1)) % 0.51/1.02 (define @t283 () (@list @t11 @t51 @t1 @t25)) % 0.51/1.02 (define @t284 () (tptp.c_Equiv__Relations_Oquotient @t11 @t3 @t1)) % 0.51/1.02 (define @t285 () (tptp.c_Relation_OImage @t3 @t101 @t1 @t1)) % 0.51/1.02 (define @t286 () (not (= (tptp.c_Relation_Orel__comp @t11 @t51 @t1 @t1 @t1) @t40))) % 0.51/1.02 (define @t287 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t76 @t3 @t1)) % 0.51/1.02 (define @t288 () (@var "V_xb" $$unsorted)) % 0.51/1.02 (define @t289 () (tptp.c_Relation_Oconverse @t3 @t1 @t1)) % 0.51/1.02 (define @t290 () (tptp.c_Wellfounded_Oacyclic @t289 @t1)) % 0.51/1.02 (define @t291 () (not @t221)) % 0.51/1.02 (define @t292 () (= @t11 @t25)) % 0.51/1.02 (define @t293 () (= @t10 @t12)) % 0.51/1.02 (define @t294 () (not (tptp.class_Orderings_Oorder @t1))) % 0.51/1.02 (define @t295 () (= @t185 @t12)) % 0.51/1.02 (define @t296 () (= @t50 @t25)) % 0.51/1.02 (define @t297 () (@list @t1)) % 0.51/1.02 (define @t298 () (tptp.c_Orderings_Obot__class_Obot @t81)) % 0.51/1.02 (define @t299 () (= @t5 @t110)) % 0.51/1.02 (define @t300 () (@var "V_d" $$unsorted)) % 0.51/1.02 (define @t301 () (= @t5 @t300)) % 0.51/1.02 (define @t302 () (not (= (tptp.c_Set_Oinsert @t5 @t228 @t1) (tptp.c_Set_Oinsert @t110 (tptp.c_Set_Oinsert @t300 @t20 @t1) @t1)))) % 0.51/1.02 (define @t303 () (@list @t5 @t7 @t1 @t110 @t300)) % 0.51/1.02 (define @t304 () (= @t7 @t110)) % 0.51/1.02 (define @t305 () (= @t7 @t300)) % 0.51/1.02 (define @t306 () (not @t144)) % 0.51/1.02 (define @t307 () (@list @t3 @t1 @t11)) % 0.51/1.02 (define @t308 () (tptp.c_in @t5 @t51 @t1)) % 0.51/1.02 (define @t309 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t51 @t19)) % 0.51/1.02 (define @t310 () (tptp.c_in @t5 @t11 @t1)) % 0.51/1.02 (define @t311 () (not @t310)) % 0.51/1.02 (define @t312 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t28 @t19)) % 0.51/1.02 (define @t313 () (tptp.hAPP @t55 @t5)) % 0.51/1.02 (define @t314 () (not (tptp.c_lessequals @t25 @t275 @t19))) % 0.51/1.02 (define @t315 () (tptp.c_Relation_Oconverse @t65 @t2 @t1)) % 0.51/1.02 (define @t316 () (tptp.c_Relation_Oconverse @t3 @t2 @t1)) % 0.51/1.02 (define @t317 () (@list @t3 @t65 @t2 @t1)) % 0.51/1.02 (define @t318 () (tptp.c_lessequals @t131 @t10 @t1)) % 0.51/1.02 (define @t319 () (tptp.c_lessequals @t131 @t12 @t1)) % 0.51/1.02 (define @t320 () (tptp.c_lessequals @t10 @t264 @t1)) % 0.51/1.02 (define @t321 () (tptp.c_lessequals @t10 @t5 @t1)) % 0.51/1.02 (define @t322 () (not @t321)) % 0.51/1.02 (define @t323 () (tptp.c_lessequals @t10 @t7 @t1)) % 0.51/1.02 (define @t324 () (not @t323)) % 0.51/1.02 (define @t325 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t7 @t1)) % 0.51/1.02 (define @t326 () (tptp.c_lessequals @t10 @t325 @t1)) % 0.51/1.02 (define @t327 () (@list @t1 @t10 @t5 @t7)) % 0.51/1.02 (define @t328 () (tptp.c_lessequals @t51 @t25 @t19)) % 0.51/1.02 (define @t329 () (tptp.c_lessequals @t51 @t26 @t19)) % 0.51/1.02 (define @t330 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t10 @t1)) % 0.51/1.02 (define @t331 () (tptp.c_Set_Oinsert @t5 @t32 @t1)) % 0.51/1.02 (define @t332 () (= @t5 @t7)) % 0.51/1.02 (define @t333 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t11 @t19)) % 0.51/1.02 (define @t334 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t11 @t3 @t1)) % 0.51/1.02 (define @t335 () (not @t334)) % 0.51/1.02 (define @t336 () (tptp.c_Relation_Ototal__on @t11 @t3 @t1)) % 0.51/1.02 (define @t337 () (@list @t11 @t3 @t1)) % 0.51/1.02 (define @t338 () (not (= @t50 @t20))) % 0.51/1.02 (define @t339 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t1) @t36))) % 0.51/1.02 (define @t340 () (@list @t1 @t11 @t25)) % 0.51/1.02 (define @t341 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t11 @t19)) % 0.51/1.02 (define @t342 () (@var "V_T" $$unsorted)) % 0.51/1.02 (define @t343 () (not @t329)) % 0.51/1.02 (define @t344 () (not @t326)) % 0.51/1.02 (define @t345 () (tptp.c_lessequals @t325 @t10 @t1)) % 0.51/1.02 (define @t346 () (not @t320)) % 0.51/1.02 (define @t347 () (@list @t1 @t10 @t129 @t12)) % 0.51/1.02 (define @t348 () (tptp.c_HOL_Ominus__class_Ominus @t25 @t51 @t19)) % 0.51/1.02 (define @t349 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t51 @t19)) % 0.51/1.02 (define @t350 () (= @t185 @t330)) % 0.51/1.02 (define @t351 () (@var "V_R2" $$unsorted)) % 0.51/1.02 (define @t352 () (@var "V_R1" $$unsorted)) % 0.51/1.02 (define @t353 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t185 @t1) @t185)) % 0.51/1.02 (define @t354 () (@list @t3 @t1 @t2)) % 0.51/1.02 (define @t355 () (@list @t11 @t25 @t2 @t1)) % 0.51/1.02 (define @t356 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t76 @t3 @t1)) % 0.51/1.02 (define @t357 () (tptp.hBOOL (tptp.hAPP @t26 @t10))) % 0.51/1.02 (define @t358 () (not @t357)) % 0.51/1.02 (define @t359 () (tptp.c_Relation_ORange @t3 @t2 @t1)) % 0.51/1.02 (define @t360 () (tptp.c_Pair @t5 @t7 @t2 @t1)) % 0.51/1.02 (define @t361 () (@list @t5 @t7 @t2 @t1 @t3)) % 0.51/1.02 (define @t362 () (tptp.c_lessequals @t11 @t52 @t19)) % 0.51/1.02 (define @t363 () (tptp.c_lessequals @t35 @t51 @t19)) % 0.51/1.02 (define @t364 () (@var "V_g" $$unsorted)) % 0.51/1.02 (define @t365 () (= (tptp.c_Recdef_Ocut @t55 @t3 @t10 @t1 @t2) (tptp.c_Recdef_Ocut @t364 @t3 @t10 @t1 @t2))) % 0.51/1.02 (define @t366 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t55 @t364 @t3 @t10 @t1 @t2)) % 0.51/1.02 (define @t367 () (tptp.c_Pair @t12 @t10 @t1 @t1)) % 0.51/1.02 (define @t368 () (tptp.c_Set_Oinsert @t367 @t3 @t38)) % 0.51/1.02 (define @t369 () (tptp.c_Wellfounded_Oacyclic @t368 @t1)) % 0.51/1.02 (define @t370 () (not @t369)) % 0.51/1.02 (define @t371 () (@list @t3 @t1 @t12 @t10)) % 0.51/1.02 (define @t372 () (tptp.hAPP @t55 @t10)) % 0.51/1.02 (define @t373 () (tptp.c_in @t110 @t11 @t1)) % 0.51/1.02 (define @t374 () (not @t373)) % 0.51/1.02 (define @t375 () (tptp.c_in @t110 @t25 @t1)) % 0.51/1.02 (define @t376 () (not @t375)) % 0.51/1.02 (define @t377 () (tptp.c_in @t110 @t26 @t1)) % 0.51/1.02 (define @t378 () (@list @t110 @t11 @t25 @t1)) % 0.51/1.02 (define @t379 () (tptp.c_in @t5 (tptp.c_Set_Oinsert @t7 @t11 @t1) @t1)) % 0.51/1.02 (define @t380 () (@list @t110 @t25 @t1 @t11)) % 0.51/1.02 (define @t381 () (tptp.c_in @t110 @t50 @t1)) % 0.51/1.02 (define @t382 () (not (tptp.c_in @t10 @t20 @t1))) % 0.51/1.02 (define @t383 () (@list @t10 @t1)) % 0.51/1.02 (define @t384 () (tptp.hBOOL (tptp.hAPP @t76 @t10))) % 0.51/1.02 (define @t385 () (@list @t76 @t10 @t1)) % 0.51/1.02 (define @t386 () (@list @t5 @t1)) % 0.51/1.02 (define @t387 () (tptp.c_in @t110 @t35 @t1)) % 0.51/1.02 (define @t388 () (not @t387)) % 0.51/1.02 (define @t389 () (@list @t110 @t11 @t1 @t25)) % 0.51/1.02 (define @t390 () (not @t377)) % 0.51/1.02 (define @t391 () (not @t384)) % 0.51/1.02 (define @t392 () (tptp.c_Pair @t10 @t12 @t1 @t2)) % 0.51/1.02 (define @t393 () (tptp.c_snd @t2 @t1)) % 0.51/1.02 (define @t394 () (tptp.c_Pair @t10 @t12 @t2 @t1)) % 0.51/1.02 (define @t395 () (tptp.hAPP @t393 @t394)) % 0.51/1.02 (define @t396 () (not (tptp.hBOOL (tptp.hAPP @t76 @t71)))) % 0.51/1.02 (define @t397 () (not (tptp.hBOOL (tptp.hAPP @t161 @t70)))) % 0.51/1.02 (define @t398 () (tptp.c_Pair @t71 @t70 @t1 @t2)) % 0.51/1.02 (define @t399 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t131 @t1) @t131)) % 0.51/1.02 (define @t400 () (not @t219)) % 0.51/1.02 (define @t401 () (tptp.c_lessequals @t10 @t208 @t1)) % 0.51/1.02 (define @t402 () (not @t209)) % 0.51/1.02 (define @t403 () (not @t202)) % 0.51/1.02 (define @t404 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.51/1.02 (define @t405 () (not (tptp.c_lessequals @t76 @t161 @t19))) % 0.51/1.02 (define @t406 () (tptp.hBOOL (tptp.hAPP @t161 @t10))) % 0.51/1.02 (define @t407 () (@list @t161 @t10 @t76 @t1)) % 0.51/1.02 (define @t408 () (tptp.c_lessequals @t10 @t10 @t1)) % 0.51/1.02 (define @t409 () (tptp.c_Relation_Oantisym @t3 @t1)) % 0.51/1.02 (define @t410 () (not (tptp.c_lessequals @t3 @t65 @t43))) % 0.51/1.02 (define @t411 () (tptp.c_Relation_Osingle__valued @t3 @t1 @t2)) % 0.51/1.02 (define @t412 () (@list @t3 @t1 @t2 @t65)) % 0.51/1.02 (define @t413 () (@var "V_X" $$unsorted)) % 0.51/1.02 (define @t414 () (not (tptp.c_in @t413 @t284 @t19))) % 0.51/1.02 (define @t415 () (@var "V_Y" $$unsorted)) % 0.51/1.02 (define @t416 () (not (tptp.c_in @t415 @t284 @t19))) % 0.51/1.02 (define @t417 () (= @t413 @t415)) % 0.51/1.02 (define @t418 () (tptp.c_lessequals @t176 @t177 @t1)) % 0.51/1.02 (define @t419 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t10 @t12 @t1) @t178))) % 0.51/1.02 (define @t420 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.51/1.02 (define @t421 () (@list @t1 @t10 @t12 @t177 @t176)) % 0.51/1.02 (define @t422 () (tptp.c_Set_Oimage @t55 @t11 @t1 @t2)) % 0.51/1.02 (define @t423 () (@list @t10 @t11 @t2 @t55 @t1)) % 0.51/1.02 (define @t424 () (tptp.hAPP @t76 @t12)) % 0.51/1.02 (define @t425 () (@list @t3 @t2 @t1)) % 0.51/1.02 (define @t426 () (@var "V_A_H" $$unsorted)) % 0.51/1.02 (define @t427 () (tptp.c_Relation_OImage @t3 @t11 @t1 @t2)) % 0.51/1.02 (define @t428 () (tptp.c_Relation_Oirrefl @t3 @t1)) % 0.51/1.02 (define @t429 () (tptp.c_in @t165 @t238 @t38)) % 0.51/1.02 (define @t430 () (@list @t12 @t10 @t1 @t3)) % 0.51/1.02 (define @t431 () (not @t429)) % 0.51/1.02 (define @t432 () (@list @t10 @t12 @t1 @t3)) % 0.51/1.02 (define @t433 () (tptp.c_in @t225 @t238 @t38)) % 0.51/1.02 (define @t434 () (not @t433)) % 0.51/1.02 (define @t435 () (tptp.hBOOL (tptp.hAPP @t76 @t7))) % 0.51/1.02 (define @t436 () (not @t435)) % 0.51/1.02 (define @t437 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t76 @t7 @t3 @t1)) % 0.51/1.02 (define @t438 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t76 @t7 @t3 @t1)) % 0.51/1.02 (define @t439 () (@list @t76 @t5 @t7 @t3 @t1)) % 0.51/1.02 (define @t440 () (not @t78)) % 0.51/1.02 (define @t441 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t76 @t5 @t3 @t1)) % 0.51/1.02 (define @t442 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t76 @t5 @t3 @t1)) % 0.51/1.02 (define @t443 () (@list @t76 @t7 @t5 @t3 @t1)) % 0.51/1.02 (define @t444 () (tptp.c_Relation_OId @t1)) % 0.51/1.02 (define @t445 () (not (tptp.c_in @t7 @t11 @t1))) % 0.51/1.02 (define @t446 () (@list @t55 @t10 @t11 @t1 @t2)) % 0.51/1.02 (define @t447 () (not (tptp.c_in @t10 @t11 @t2))) % 0.51/1.02 (define @t448 () (tptp.c_in @t7 (tptp.c_Relation_OImage @t3 (tptp.c_Set_Oinsert @t5 @t22 @t2) @t2 @t1) @t1)) % 0.51/1.02 (define @t449 () (tptp.c_in @t360 @t3 @t80)) % 0.51/1.02 (define @t450 () (tptp.c_Wellfounded_Owf @t368 @t1)) % 0.51/1.02 (define @t451 () (not @t450)) % 0.51/1.02 (define @t452 () (tptp.c_in @t10 @t59 @t38)) % 0.51/1.02 (define @t453 () (@list @t10 @t23 @t57 @t1)) % 0.51/1.02 (define @t454 () (tptp.c_in @t71 @t112 @t38)) % 0.51/1.02 (define @t455 () (= @t230 @t229)) % 0.51/1.02 (define @t456 () (= @t285 (tptp.c_Relation_OImage @t3 @t168 @t1 @t1))) % 0.51/1.02 (define @t457 () (@list @t3 @t10 @t1 @t12 @t11)) % 0.51/1.02 (define @t458 () (tptp.c_Relation_Orel__comp @t23 @t23 @t1 @t1 @t1)) % 0.51/1.02 (define @t459 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t458 (tptp.c_Relation_Orel__comp @t57 @t23 @t1 @t1 @t1) @t39) @t57 @t39) @t1)) % 0.51/1.02 (define @t460 () (@list @t23 @t1)) % 0.51/1.02 (define @t461 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t444 @t39)) % 0.51/1.02 (define @t462 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t463 () (tptp.tc_fun @t462 tptp.tc_bool)) % 0.51/1.02 (define @t464 () (@var "V_L" $$unsorted)) % 0.51/1.02 (define @t465 () (not (tptp.c_in @t464 tptp.c_Arrow__Order__Mirabelle_OLin @t463))) % 0.51/1.02 (define @t466 () (@list @t464 @t10 @t12)) % 0.51/1.02 (define @t467 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t444 @t39)) % 0.51/1.02 (define @t468 () (tptp.c_Relation_Oantisym @t467 @t1)) % 0.51/1.02 (define @t469 () (not @t409)) % 0.51/1.02 (define @t470 () (tptp.c_Relation_Ototal__on @t11 @t461 @t1)) % 0.51/1.02 (define @t471 () (not @t336)) % 0.51/1.02 (define @t472 () (tptp.c_Pair @t7 @t110 @t1 @t1)) % 0.51/1.02 (define @t473 () (not (tptp.c_in @t472 @t238 @t38))) % 0.51/1.02 (define @t474 () (tptp.c_Pair @t5 @t110 @t1 @t1)) % 0.51/1.02 (define @t475 () (tptp.c_in @t474 @t112 @t38)) % 0.51/1.02 (define @t476 () (@list @t5 @t110 @t1 @t3 @t7)) % 0.51/1.02 (define @t477 () (not (tptp.c_in @t71 @t3 @t38))) % 0.51/1.02 (define @t478 () (@list @t71 @t3 @t1)) % 0.51/1.02 (define @t479 () (tptp.c_in (tptp.c_Pair @t12 @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) % 0.51/1.02 (define @t480 () (tptp.c_Pair @t10 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t481 () (tptp.c_in @t480 @t464 @t462)) % 0.51/1.02 (define @t482 () (not @t481)) % 0.51/1.02 (define @t483 () (@list @t10 @t12 @t464)) % 0.51/1.02 (define @t484 () (not (tptp.c_in @t10 @t284 @t19))) % 0.51/1.02 (define @t485 () (tptp.c_Relation_Orel__comp @t289 @t3 @t1 @t1 @t1)) % 0.51/1.02 (define @t486 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t464 @t5 @t7)) % 0.51/1.02 (define @t487 () (tptp.c_Pair @t10 @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t488 () (@list @t10 @t464 @t5 @t7)) % 0.51/1.02 (define @t489 () (tptp.c_Arrow__Order__Mirabelle_Oabove @t464 @t5 @t10)) % 0.51/1.02 (define @t490 () (tptp.c_Pair @t171 @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t491 () (tptp.c_in @t490 @t489 @t462)) % 0.51/1.02 (define @t492 () (= @t5 @t10)) % 0.51/1.02 (define @t493 () (= @t171 @t10)) % 0.51/1.02 (define @t494 () (tptp.c_in (tptp.c_Pair @t171 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) % 0.51/1.02 (define @t495 () (not @t494)) % 0.51/1.02 (define @t496 () (@list @t171 @t5 @t464 @t10)) % 0.51/1.02 (define @t497 () (tptp.c_in @t480 (tptp.c_Arrow__Order__Mirabelle_Oabove @t464 @t10 @t7) @t462)) % 0.51/1.02 (define @t498 () (= @t10 @t7)) % 0.51/1.02 (define @t499 () (tptp.c_in @t480 @t486 @t462)) % 0.51/1.02 (define @t500 () (= @t12 @t7)) % 0.51/1.02 (define @t501 () (@list @t171 @t10 @t464 @t5)) % 0.51/1.02 (define @t502 () (tptp.c_in (tptp.c_Pair @t5 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) % 0.51/1.02 (define @t503 () (tptp.c_in @t480 @t489 @t462)) % 0.51/1.02 (define @t504 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t464 @t10 @t7)) % 0.51/1.02 (define @t505 () (tptp.c_in @t480 @t504 @t462)) % 0.51/1.02 (define @t506 () (not (tptp.c_in (tptp.c_Pair @t10 @t7 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462))) % 0.51/1.02 (define @t507 () (tptp.c_in (tptp.c_Pair @t7 @t12 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) % 0.51/1.02 (define @t508 () (not @t507)) % 0.51/1.02 (define @t509 () (@list @t7 @t12 @t464 @t10)) % 0.51/1.02 (define @t510 () (not (tptp.c_in @t490 @t464 @t462))) % 0.51/1.02 (define @t511 () (tptp.c_in @t490 (tptp.c_Arrow__Order__Mirabelle_Obelow @t464 @t5 @t10) @t462)) % 0.51/1.02 (define @t512 () (= @t10 @t5)) % 0.51/1.02 (define @t513 () (tptp.c_Arrow__Order__Mirabelle_Obelow @t464 @t5 @t7)) % 0.51/1.02 (define @t514 () (tptp.c_in @t480 @t513 @t462)) % 0.51/1.02 (define @t515 () (@list @t10 @t12 @t464 @t5 @t7)) % 0.51/1.02 (define @t516 () (= @t12 @t5)) % 0.51/1.02 (define @t517 () (tptp.c_Pair @t10 @t171 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t518 () (tptp.c_in @t517 (tptp.c_Arrow__Order__Mirabelle_Obelow @t464 @t10 @t171) @t462)) % 0.51/1.02 (define @t519 () (= @t10 @t171)) % 0.51/1.02 (define @t520 () (@list @t171 @t10 @t464)) % 0.51/1.02 (define @t521 () (not @t502)) % 0.51/1.02 (define @t522 () (not (tptp.c_in (tptp.c_Pair @t10 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462))) % 0.51/1.02 (define @t523 () (tptp.c_in @t490 (tptp.c_Arrow__Order__Mirabelle_Oabove @t464 @t171 @t10) @t462)) % 0.51/1.02 (define @t524 () (tptp.c_in (tptp.c_Pair @t171 @t7 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) % 0.51/1.02 (define @t525 () (tptp.c_in @t490 @t504 @t462)) % 0.51/1.02 (define @t526 () (tptp.c_Transitive__Closure_Otrancl @t23 @t1)) % 0.51/1.02 (define @t527 () (tptp.c_in @t165 @t526 @t38)) % 0.51/1.02 (define @t528 () (not @t527)) % 0.51/1.02 (define @t529 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t23 @t10 @t12 @t1)) % 0.51/1.02 (define @t530 () (@list @t10 @t23 @t12 @t1)) % 0.51/1.02 (define @t531 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t23 @t10 @t12 @t1)) % 0.51/1.02 (define @t532 () (@list @t23 @t10 @t12 @t1)) % 0.51/1.02 (define @t533 () (not @t428)) % 0.51/1.02 (define @t534 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t3 @t1)) % 0.51/1.02 (define @t535 () (tptp.c_Nitpick_Orefl_H @t3 @t1)) % 0.51/1.02 (define @t536 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t3 @t1)) % 0.51/1.02 (define @t537 () (tptp.c_Relation_Orel__comp @t238 @t3 @t1 @t1 @t1)) % 0.51/1.02 (define @t538 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t112 @t444 @t39)) % 0.51/1.02 (define @t539 () (not (tptp.c_in @t110 @t140 @t38))) % 0.51/1.02 (define @t540 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t11 @t110 @t1)) % 0.51/1.02 (define @t541 () (tptp.c_Wellfounded_Oacc @t3 @t1)) % 0.51/1.02 (define @t542 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t71 @t1)) % 0.51/1.02 (define @t543 () (not (tptp.c_in (tptp.c_Pair @t5 @t110 @t1 @t2) (tptp.c_Relation_Orel__comp @t3 @t65 @t1 @t45 @t2) @t6))) % 0.51/1.02 (define @t544 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t5 @t110 @t3 @t65 @t1 @t2 @t45)) % 0.51/1.02 (define @t545 () (@list @t5 @t110 @t3 @t65 @t1 @t2 @t45)) % 0.51/1.02 (define @t546 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t3 @t1)) % 0.51/1.02 (define @t547 () (tptp.c_Pair @t10 @t10 @t1 @t1)) % 0.51/1.02 (define @t548 () (tptp.c_in @t547 @t3 @t38)) % 0.51/1.02 (define @t549 () (not @t548)) % 0.51/1.02 (define @t550 () (@list @t10 @t1 @t3)) % 0.51/1.02 (define @t551 () (tptp.c_Pair @t10 @t129 @t1 @t1)) % 0.51/1.02 (define @t552 () (tptp.c_in @t551 @t112 @t38)) % 0.51/1.02 (define @t553 () (not @t552)) % 0.51/1.02 (define @t554 () (tptp.c_in @t551 @t3 @t38)) % 0.51/1.02 (define @t555 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t3 @t10 @t129 @t1)) % 0.51/1.02 (define @t556 () (@list @t3 @t10 @t129 @t1)) % 0.51/1.02 (define @t557 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.51/1.02 (define @t558 () (tptp.c_Transitive__Closure_Otrancl @t3 tptp.t_a)) % 0.51/1.02 (define @t559 () (@var "V_a2" $$unsorted)) % 0.51/1.02 (define @t560 () (@var "V_a1" $$unsorted)) % 0.51/1.02 (define @t561 () (tptp.c_Pair @t560 @t559 tptp.t_a tptp.t_a)) % 0.51/1.02 (define @t562 () (not (tptp.c_in @t561 @t558 @t557))) % 0.51/1.02 (define @t563 () (tptp.c_in @t561 @t3 @t557)) % 0.51/1.02 (define @t564 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t560 @t559 @t3)) % 0.51/1.02 (define @t565 () (@list @t560 @t559 @t3)) % 0.51/1.02 (define @t566 () (not (tptp.c_in @t547 @t112 @t38))) % 0.51/1.02 (define @t567 () (tptp.c_in @t225 @t112 @t38)) % 0.51/1.02 (define @t568 () (not @t567)) % 0.51/1.02 (define @t569 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t5 @t7 @t3 @t1)) % 0.51/1.02 (define @t570 () (@list @t5 @t7 @t3 @t1)) % 0.51/1.02 (define @t571 () (@list @t10 @t3 @t129 @t1)) % 0.51/1.02 (define @t572 () (tptp.hBOOL @t424)) % 0.51/1.02 (define @t573 () (@list @t76 @t5 @t12 @t3 @t1)) % 0.51/1.02 (define @t574 () (@var "V_Ra" $$unsorted)) % 0.51/1.02 (define @t575 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t5 @t7 @t3 @t1)) % 0.51/1.02 (define @t576 () (not (tptp.c_in @t551 @t238 @t38))) % 0.51/1.02 (define @t577 () (= @t10 @t129)) % 0.51/1.02 (define @t578 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t3 @t10 @t129 @t1)) % 0.51/1.02 (define @t579 () (tptp.c_Transitive__Closure_Ortrancl @t3 tptp.t_a)) % 0.51/1.02 (define @t580 () (not (tptp.c_in @t561 @t579 @t557))) % 0.51/1.02 (define @t581 () (= @t559 @t560)) % 0.51/1.02 (define @t582 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t560 @t559 @t3)) % 0.51/1.02 (define @t583 () (tptp.c_Product__Type_OSigma @t11 @t25 @t1 @t2)) % 0.51/1.02 (define @t584 () (not @t456)) % 0.51/1.02 (define @t585 () (not (tptp.c_in @t472 @t3 @t38))) % 0.51/1.02 (define @t586 () (tptp.c_in @t165 @t61 @t38)) % 0.51/1.02 (define @t587 () (@list @t10 @t12 @t1 @t23)) % 0.51/1.02 (define @t588 () (not @t586)) % 0.51/1.02 (define @t589 () (tptp.c_in @t367 @t238 @t38)) % 0.51/1.02 (define @t590 () (tptp.c_Transitive__Closure_Ortrancl @t289 @t1)) % 0.51/1.02 (define @t591 () (tptp.c_in @t165 @t590 @t38)) % 0.51/1.02 (define @t592 () (tptp.c_Pair @t12 @t129 @t1 @t1)) % 0.51/1.02 (define @t593 () (@list @t5 @t7 @t1 @t3)) % 0.51/1.02 (define @t594 () (@list @t10 @t129 @t1 @t3 @t12)) % 0.51/1.02 (define @t595 () (tptp.c_Transitive__Closure_Otrancl @t289 @t1)) % 0.51/1.02 (define @t596 () (tptp.c_in @t165 @t595 @t38)) % 0.51/1.02 (define @t597 () (tptp.c_Relation_Oconverse @t112 @t1 @t1)) % 0.51/1.02 (define @t598 () (tptp.c_in @t165 @t597 @t38)) % 0.51/1.02 (define @t599 () (tptp.hAPP @t313 @t7)) % 0.51/1.02 (define @t600 () (tptp.c_Pair @t5 @t7 @t2 @t45)) % 0.51/1.02 (define @t601 () (tptp.c_split @t55 @t1 @t2 @t45)) % 0.51/1.02 (define @t602 () (tptp.c_in @t372 @t56 @t1)) % 0.51/1.02 (define @t603 () (@var "T_aa" $$unsorted)) % 0.51/1.02 (define @t604 () (tptp.c_in @t10 @t541 @t1)) % 0.51/1.02 (define @t605 () (@list @t10 @t3 @t1)) % 0.51/1.02 (define @t606 () (tptp.c_in @t7 (tptp.c_Relation_OImage @t3 @t11 @t2 @t1) @t1)) % 0.51/1.02 (define @t607 () (not @t606)) % 0.51/1.02 (define @t608 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t11 @t7 @t3 @t2 @t1)) % 0.51/1.02 (define @t609 () (@list @t11 @t7 @t3 @t2 @t1)) % 0.51/1.02 (define @t610 () (tptp.c_in @t5 @t541 @t1)) % 0.51/1.02 (define @t611 () (not @t610)) % 0.51/1.02 (define @t612 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t76 @t3 @t1)) % 0.51/1.02 (define @t613 () (tptp.c_Wellfounded_Oacc @t3 tptp.t_a)) % 0.51/1.02 (define @t614 () (not (tptp.c_in @t10 @t613 tptp.t_a))) % 0.51/1.02 (define @t615 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t76 @t3)) % 0.51/1.02 (define @t616 () (@list @t76 @t10 @t3)) % 0.51/1.02 (define @t617 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t76 @t3 @t1)) % 0.51/1.02 (define @t618 () (tptp.c_Relation_Osym @t289 @t1)) % 0.51/1.02 (define @t619 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t11 @t7 @t3 @t2 @t1)) % 0.51/1.02 (define @t620 () (tptp.c_Wellfounded_Oacc @t23 @t1)) % 0.51/1.02 (define @t621 () (tptp.c_in @t10 @t620 @t1)) % 0.51/1.02 (define @t622 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t23 @t10 @t1)) % 0.51/1.02 (define @t623 () (@list @t23 @t10 @t1)) % 0.51/1.02 (define @t624 () (tptp.c_Relation_Orefl__on @t11 @t289 @t1)) % 0.51/1.02 (define @t625 () (tptp.c_Wellfounded_Owf @t458 @t1)) % 0.51/1.02 (define @t626 () (= @t289 @t3)) % 0.51/1.02 (define @t627 () (tptp.c_Relation_Oinv__image @t3 @t55 @t1 @t2)) % 0.51/1.02 (define @t628 () (@list @t3 @t55 @t1 @t2)) % 0.51/1.02 (define @t629 () (tptp.c_Relation_Orel__comp @t3 @t238 @t1 @t1 @t1)) % 0.51/1.02 (define @t630 () (tptp.c_Relation_Otrans @t289 @t1)) % 0.51/1.02 (define @t631 () (@var "T_d" $$unsorted)) % 0.51/1.02 (define @t632 () (= @t485 @t3)) % 0.51/1.02 (define @t633 () (tptp.c_Relation_Oconverse @t3 @t1 @t2)) % 0.51/1.02 (define @t634 () (not (tptp.c_in @t171 @t161 @t1))) % 0.51/1.02 (define @t635 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t161 @t3 @t1)) % 0.51/1.02 (define @t636 () (not @t411)) % 0.51/1.02 (define @t637 () (tptp.c_Relation_Oantisym @t289 @t1)) % 0.51/1.02 (define @t638 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t76 @t3)) % 0.51/1.02 (define @t639 () (not (tptp.c_in @t10 @t161 @t1))) % 0.51/1.02 (define @t640 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t161 @t23 @t1)) % 0.51/1.02 (define @t641 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t3 @t10 @t1)) % 0.51/1.02 (define @t642 () (@var "V_r1" $$unsorted)) % 0.51/1.02 (define @t643 () (@var "V_r2" $$unsorted)) % 0.51/1.02 (define @t644 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t642 @t643 @t55 @t1 @t2 @t45))) % 0.51/1.02 (define @t645 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t464 @t10)) % 0.51/1.02 (define @t646 () (@list @t464 @t10)) % 0.51/1.02 (define @t647 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t464 @t10)) % 0.51/1.02 (define @t648 () (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t5 @t7)) % 0.51/1.02 (define @t649 () (@list @t5 @t7)) % 0.51/1.02 (define @t650 () (tptp.c_Relation_ODomain @t316 @t1 @t2)) % 0.51/1.02 (define @t651 () (tptp.c_Relation_Ototal__on @t11 @t289 @t1)) % 0.51/1.02 (define @t652 () (tptp.c_Pair @t5 @t7 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/1.02 (define @t653 () (forall (@list @t7 @t5 @t464) (or (not (tptp.c_in (tptp.c_Pair @t7 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) (not (tptp.c_in @t652 @t464 @t462)) @t465))) % 0.51/1.02 (define @t654 () (@list @t76 @t10 @t12 @t3)) % 0.51/1.02 (define @t655 () (not (tptp.c_in @t12 @t161 @t1))) % 0.51/1.02 (define @t656 () (tptp.c_Pair @t7 @t5 @t1 @t1)) % 0.51/1.02 (define @t657 () (not (tptp.c_in @t656 @t238 @t38))) % 0.51/1.02 (define @t658 () (tptp.c_in @t7 @t541 @t1)) % 0.51/1.02 (define @t659 () (@list @t7 @t3 @t1 @t5)) % 0.51/1.02 (define @t660 () (@var "V_ya" $$unsorted)) % 0.51/1.02 (define @t661 () (tptp.c_in @t660 @t613 tptp.t_a)) % 0.51/1.02 (define @t662 () (@list @t76 @t10 @t660 @t3)) % 0.51/1.02 (define @t663 () (tptp.c_in @t547 @t61 @t38)) % 0.51/1.02 (define @t664 () (tptp.c_in @t10 (tptp.c_Relation_ODomain @t23 @t1 @t1) @t1)) % 0.51/1.02 (define @t665 () (tptp.c_in @t5 @t4 @t1)) % 0.51/1.02 (define @t666 () (not @t665)) % 0.51/1.02 (define @t667 () (@list @t5 @t3 @t1 @t2)) % 0.51/1.02 (define @t668 () (tptp.c_in @t5 @t359 @t1)) % 0.51/1.02 (define @t669 () (@var "V_z1" $$unsorted)) % 0.51/1.02 (define @t670 () (@var "V_y1" $$unsorted)) % 0.51/1.02 (define @t671 () (tptp.tc_prod @t2 @t2)) % 0.51/1.02 (define @t672 () (@var "V_z2" $$unsorted)) % 0.51/1.02 (define @t673 () (@var "V_y2" $$unsorted)) % 0.51/1.02 (define @t674 () (= @t12 @t129)) % 0.51/1.02 (define @t675 () (tptp.c_Pair @t10 @t5 @t1 @t1)) % 0.51/1.02 (define @t676 () (not (tptp.c_in @t675 @t3 @t38))) % 0.51/1.02 (define @t677 () (tptp.c_in @t392 @t23 @t6)) % 0.51/1.02 (define @t678 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t23 @t1 @t2) @t10) @t12))) % 0.51/1.02 (define @t679 () (not (tptp.c_in @t592 @t3 @t38))) % 0.51/1.02 (define @t680 () (tptp.c_Pair @t7 @t5 @t2 @t1)) % 0.51/1.02 (define @t681 () (tptp.c_in @t680 @t3 @t80)) % 0.51/1.02 (define @t682 () (tptp.c_in @t8 @t316 @t6)) % 0.51/1.02 (define @t683 () (not (tptp.c_in @t8 @t3 @t6))) % 0.51/1.02 (define @t684 () (@list @t7 @t5 @t2 @t1 @t3)) % 0.51/1.02 (define @t685 () (not (tptp.c_in @t472 @t112 @t38))) % 0.51/1.02 (define @t686 () (tptp.c_in @t474 @t238 @t38)) % 0.51/1.02 (define @t687 () (tptp.c_Pair @t5 @t5 @t1 @t1)) % 0.51/1.02 (define @t688 () (@list @t5 @t1 @t3)) % 0.51/1.02 (define @t689 () (tptp.c_in @t367 @t3 @t38)) % 0.51/1.02 (define @t690 () (not @t689)) % 0.51/1.02 (define @t691 () (tptp.c_in @t656 @t3 @t38)) % 0.51/1.02 (define @t692 () (tptp.hAPP @t55 @t12)) % 0.51/1.02 (define @t693 () (not (tptp.c_in @t165 @t140 @t38))) % 0.51/1.02 (define @t694 () (tptp.c_in @t687 @t3 @t38)) % 0.51/1.02 (define @t695 () (tptp.c_in (tptp.c_Pair @t372 @t692 @t2 @t2) @t3 @t671)) % 0.51/1.02 (define @t696 () (tptp.c_in @t165 (tptp.c_Relation_Oinv__image @t3 @t55 @t2 @t1) @t38)) % 0.51/1.02 (define @t697 () (tptp.c_in @t480 (tptp.c_Arrow__Order__Mirabelle_Omktop @t464 @t129) @t462)) % 0.51/1.02 (define @t698 () (@list @t10 @t12 @t464 @t129)) % 0.51/1.02 (define @t699 () (@list @t10 @t464)) % 0.51/1.02 (define @t700 () (tptp.c_in @t480 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t464 @t129) @t462)) % 0.51/1.02 (define @t701 () (tptp.c_in @t7 (tptp.hAPP @t25 @t5) @t2)) % 0.51/1.02 (define @t702 () (tptp.c_in @t8 @t583 @t6)) % 0.51/1.02 (define @t703 () (@list @t12 @t11 @t1 @t10 @t3)) % 0.51/1.02 (define @t704 () (@list @t10 @t11 @t1 @t12 @t3)) % 0.51/1.02 (define @t705 () (not @t702)) % 0.51/1.02 (define @t706 () (@var "V_b_H" $$unsorted)) % 0.51/1.02 (define @t707 () (@var "V_a_H" $$unsorted)) % 0.51/1.02 (define @t708 () (not (= @t8 (tptp.c_Pair @t707 @t706 @t1 @t2)))) % 0.51/1.02 (define @t709 () (@list @t5 @t7 @t1 @t2 @t707 @t706)) % 0.51/1.02 (define @t710 () (tptp.hBOOL (tptp.hAPP @t57 @t10))) % 0.51/1.02 (define @t711 () (tptp.c_in @t10 @t57 @t1)) % 0.51/1.02 (define @t712 () (tptp.c_in tptp.v_Lab____ tptp.c_Arrow__Order__Mirabelle_OLin @t463)) % 0.51/1.02 (define @t713 () (tptp.c_in (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_Lab____ @t462)) % 0.51/1.02 (define @t714 () (tptp.c_in (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_Lab____ @t462)) % 0.51/1.02 (define @t715 () (@var "T_1" $$unsorted)) % 0.51/1.02 (define @t716 () (not (tptp.class_Lattices_Olattice @t715))) % 0.51/1.02 (define @t717 () (@var "T_2" $$unsorted)) % 0.51/1.02 (define @t718 () (tptp.tc_fun @t717 @t715)) % 0.51/1.02 (define @t719 () (@list @t717 @t715)) % 0.51/1.02 (define @t720 () (not @t712)) % 0.51/1.02 (define @t721 () (not @t714)) % 0.51/1.02 (define @t722 () (not @t713)) % 0.51/1.02 (define @t723 () (or @t722 @t721 @t720)) % 0.51/1.02 (define @t724 () (not @t723)) % 0.51/1.02 (assume @p1 (forall @t9 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t8 @t3 @t6) @t1 @t2) (tptp.c_Set_Oinsert @t5 @t4 @t1)))) % 0.51/1.02 (assume @p2 (forall (@list @t11 @t10 @t12 @t1) (or @t16 @t15 (not @t14)))) % 0.51/1.02 (assume @p3 (forall @t18 (= (tptp.c_Set_Oinsert @t10 @t17 @t1) @t17))) % 0.51/1.02 (assume @p4 (forall @t24 (= (tptp.c_Relation_OImage @t23 @t22 @t2 @t1) @t20))) % 0.51/1.02 (assume @p5 (forall (@list @t5 @t11 @t1 @t25) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t28 @t19) @t27))) % 0.51/1.02 (assume @p6 (forall @t30 (not (= @t29 @t20)))) % 0.51/1.02 (assume @p7 (forall @t34 (= @t33 (tptp.c_HOL_Ominus__class_Ominus @t32 @t25 @t19)))) % 0.51/1.02 (assume @p8 (forall @t34 (= @t33 (tptp.c_HOL_Ominus__class_Ominus @t35 @t31 @t19)))) % 0.51/1.02 (assume @p9 (forall @t37 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t36 @t10 @t1)))) % 0.51/1.02 (assume @p10 (forall @t41 (tptp.c_lessequals @t40 @t25 @t39))) % 0.51/1.02 (assume @p11 (forall @t42 (tptp.c_lessequals @t20 @t11 @t19))) % 0.51/1.02 (assume @p12 (forall (@list @t23 @t45 @t2 @t1) (= (tptp.c_Relation_Orel__comp @t23 (tptp.c_Orderings_Obot__class_Obot @t47) @t1 @t45 @t2) @t44))) % 0.51/1.02 (assume @p13 (forall (@list @t1 @t45 @t23 @t2) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t49) @t23 @t1 @t45 @t2) @t44))) % 0.51/1.02 (assume @p14 (forall @t34 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t28 @t19) (tptp.c_Set_Oinsert @t5 @t50 @t1)))) % 0.51/1.02 (assume @p15 (forall @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t51 @t19) (tptp.c_Set_Oinsert @t5 @t52 @t1)))) % 0.51/1.02 (assume @p16 (forall (@list @t1 @t55 @t11 @t2) (or (not (= @t20 @t56)) @t54))) % 0.51/1.02 (assume @p17 (forall @t63 (tptp.c_lessequals @t62 @t59 @t39))) % 0.51/1.02 (assume @p18 (forall (@list @t1 @t2 @t65 @t64) (or (not (= (tptp.hAPP @t68 @t65) @t69)) (not (= (tptp.hAPP @t66 @t65) @t67)) (= @t65 @t64)))) % 0.51/1.02 (assume @p19 (forall (@list @t1 @t2 @t71 @t70) (or (not (= @t73 (tptp.hAPP @t68 @t70))) (not (= @t72 (tptp.hAPP @t66 @t70))) (= @t71 @t70)))) % 0.51/1.02 (assume @p20 (forall @t79 (or @t78 (not (tptp.hBOOL (tptp.hAPP @t76 @t77))) @t75))) % 0.51/1.02 (assume @p21 (forall (@list @t11 @t2 @t1 @t25) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t83 @t82 @t19) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t11 @t25 @t81) @t2 @t1) @t19))) % 0.51/1.02 (assume @p22 (forall (@list @t11 @t7 @t25 @t1) (or (tptp.c_lessequals @t11 @t86 @t19) @t85))) % 0.51/1.02 (assume @p23 (forall @t89 (or @t84 @t88))) % 0.51/1.02 (assume @p24 (forall @t93 (or (= @t92 @t35) @t91))) % 0.51/1.02 (assume @p25 (forall @t100 (or @t99 (not @t95) @t94))) % 0.51/1.02 (assume @p26 (forall (@list @t11 @t25 @t2 @t51 @t1 @t10) (or @t95 (not @t99) @t94))) % 0.51/1.02 (assume @p27 (forall @t108 (or @t107 @t105 @t103))) % 0.51/1.02 (assume @p28 (forall (@list @t11 @t10 @t1 @t25) (or @t102 @t105 @t109))) % 0.51/1.02 (assume @p29 (forall (@list @t110 @t2 @t1 @t11 @t10) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t110 @t2 @t1) @t11 @t1 @t2) (tptp.c_Set_Oinsert @t110 @t22 @t2)) @t105))) % 0.51/1.02 (assume @p30 (forall @t113 (or (tptp.c_lessequals @t112 @t65 @t39) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t112 @t65 @t39) @t3 @t1 @t1 @t1) @t65 @t39)) @t111))) % 0.51/1.02 (assume @p31 (forall @t118 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t114 @t19) @t51 @t1 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t115 @t43)))) % 0.51/1.02 (assume @p32 (forall (@list @t7 @t5 @t1) (or (= @t7 @t5) (not (tptp.c_in @t7 @t31 @t1))))) % 0.51/1.02 (assume @p33 (forall @t120 (or @t119 (= @t35 @t11)))) % 0.51/1.02 (assume @p34 (forall (@list @t11 @t1 @t2 @t25) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t122 @t121 @t19) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t11 @t25 @t43) @t1 @t2) @t19))) % 0.51/1.02 (assume @p35 (forall @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t52 @t11 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t123 @t19)))) % 0.51/1.02 (assume @p36 (forall @t128 (= @t127 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t126 @t19)))) % 0.51/1.02 (assume @p37 (forall @t136 (or @t135 (= @t134 @t132)))) % 0.51/1.02 (assume @p38 (forall @t138 (or @t135 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t133 @t10 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t129 @t10 @t1) @t1))))) % 0.51/1.02 (assume @p39 (forall @t141 (tptp.c_lessequals @t140 @t139 @t39))) % 0.51/1.02 (assume @p40 (forall @t145 (or @t144 @t143))) % 0.51/1.02 (assume @p41 (forall @t141 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t11 @t19) @t11))) % 0.51/1.02 (assume @p42 (forall @t37 (or @t146 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t10 @t1) @t10)))) % 0.51/1.02 (assume @p43 (forall (@list @t147 @t151 @t1 @t2 @t45 @t3 @t65) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t147 @t151 @t1 @t2 @t45) @t152 @t49) (not (tptp.c_lessequals @t151 @t65 @t150)) @t148))) % 0.51/1.02 (assume @p44 (forall (@list @t23 @t57 @t2 @t1 @t11) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t57 @t81) @t11 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 (tptp.c_Relation_OImage @t57 @t11 @t2 @t1) @t19)))) % 0.51/1.02 (assume @p45 (forall @t156 (= (tptp.c_Relation_OImage @t23 @t155 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t154 @t19)))) % 0.51/1.02 (assume @p46 (forall (@list @t76 @t160 @t23 @t1) (or (tptp.hBOOL (tptp.hAPP @t76 @t160)) (not (tptp.hBOOL (tptp.hAPP @t76 @t159))) @t158))) % 0.51/1.02 (assume @p47 (forall (@list @t1 @t2) (= (tptp.c_Relation_ODomain @t44 @t1 @t2) @t20))) % 0.51/1.02 (assume @p48 (forall (@list @t10 @t12 @t11 @t1) (= (tptp.c_Set_Oinsert @t10 @t13 @t1) (tptp.c_Set_Oinsert @t12 @t17 @t1)))) % 0.51/1.02 (assume @p49 (forall (@list @t64 @t1 @t2) (= @t64 (tptp.c_Pair @t67 @t69 @t1 @t2)))) % 0.51/1.02 (assume @p50 (forall (@list @t1 @t2 @t71) (= (tptp.c_Pair @t72 @t73 @t1 @t2) @t71))) % 0.51/1.02 (assume @p51 (forall (@list @t76 @t1 @t2 @t161) (= (tptp.hAPP (tptp.c_COMBK @t76 @t1 @t2) @t161) @t76))) % 0.51/1.02 (assume @p52 (forall @t120 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t25 @t19) @t35))) % 0.51/1.02 (assume @p53 (forall @t170 (or @t169 @t167 @t164 @t105 @t162))) % 0.51/1.02 (assume @p54 (forall @t170 (or (not @t169) @t164 @t105 @t162 @t166))) % 0.51/1.02 (assume @p55 (forall (@list @t171 @t10 @t1) (= (tptp.c_Set_Oinsert @t171 @t101 @t1) (tptp.c_Set_Oinsert @t10 (tptp.c_Set_Oinsert @t171 @t20 @t1) @t1)))) % 0.51/1.02 (assume @p56 (forall (@list @t3 @t51 @t1 @t2 @t25 @t11) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t3 @t51 @t1 @t2) @t25 @t21) @t173))) % 0.51/1.02 (assume @p57 (forall (@list @t1 @t171 @t12 @t10) (or @t175 (not (= (tptp.c_HOL_Ominus__class_Ominus @t171 @t12 @t1) @t174)) (= @t171 @t12)))) % 0.51/1.02 (assume @p58 (forall (@list @t1 @t10 @t177 @t176) (or @t175 (not (= @t174 @t178)) (= @t177 @t176)))) % 0.51/1.02 (assume @p59 (forall (@list @t55 @t2 @t1) (= @t179 @t20))) % 0.51/1.02 (assume @p60 (forall (@list @t55 @t11 @t2 @t1 @t25) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t56 @t180 @t19) (tptp.c_Set_Oimage @t55 (tptp.c_HOL_Ominus__class_Ominus @t11 @t25 @t21) @t2 @t1) @t19))) % 0.51/1.02 (assume @p61 (forall @t128 (= @t182 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t181 @t19)))) % 0.51/1.02 (assume @p62 (forall @t183 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t51 @t19) @t182))) % 0.51/1.02 (assume @p63 (forall @t136 (or @t146 @t186))) % 0.51/1.02 (assume @p64 (forall @t136 (or @t146 @t188))) % 0.51/1.02 (assume @p65 (forall @t136 (or @t189 @t188))) % 0.51/1.02 (assume @p66 (forall @t136 (or @t189 @t186))) % 0.51/1.02 (assume @p67 (forall @t120 (or (= @t26 @t11) @t85))) % 0.51/1.02 (assume @p68 (forall @t120 (or (= @t26 @t25) @t190))) % 0.51/1.02 (assume @p69 (forall @t195 (or @t194 @t193 @t192))) % 0.51/1.02 (assume @p70 (forall @t195 (or @t194 (not @t193) @t191))) % 0.51/1.02 (assume @p71 (forall @t195 (or @t194 (= @t131 @t12) @t197))) % 0.51/1.02 (assume @p72 (forall @t183 (or @t202 @t201 @t199))) % 0.51/1.02 (assume @p73 (forall @t203 (tptp.c_lessequals @t25 @t50 @t19))) % 0.51/1.02 (assume @p74 (forall @t120 (tptp.c_lessequals @t11 @t50 @t19))) % 0.51/1.02 (assume @p75 (forall @t210 (or @t146 @t209 @t207 @t205))) % 0.51/1.02 (assume @p76 (forall @t195 (or @t146 @t211))) % 0.51/1.02 (assume @p77 (forall @t213 (or @t146 @t212))) % 0.51/1.02 (assume @p78 (forall @t138 (or @t146 (tptp.c_lessequals @t133 @t10 @t1) (not @t214) @t197))) % 0.51/1.02 (assume @p79 (forall @t136 (or @t146 @t219 @t218 @t216))) % 0.51/1.02 (assume @p80 (forall @t213 (or @t189 @t212))) % 0.51/1.02 (assume @p81 (forall @t195 (or @t189 @t211))) % 0.51/1.02 (assume @p82 (forall @t120 (= @t26 @t124))) % 0.51/1.02 (assume @p83 (forall @t195 (or @t194 @t220))) % 0.51/1.02 (assume @p84 (forall @t195 (or @t189 @t220))) % 0.51/1.02 (assume @p85 (forall @t222 (or @t221 @t75))) % 0.51/1.02 (assume @p86 (forall @t120 (or (= @t224 @t25) @t85))) % 0.51/1.02 (assume @p87 (forall @t231 (or (tptp.c_lessequals @t230 @t229 @t19) @t227 @t162))) % 0.51/1.02 (assume @p88 (forall @t236 (or (tptp.c_Relation_Osym @t235 @t1) @t234 @t233))) % 0.51/1.02 (assume @p89 (forall @t113 (or @t239 @t111))) % 0.51/1.02 (assume @p90 (forall @t240 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t25 @t43) @t1 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t121 @t19) @t19))) % 0.51/1.02 (assume @p91 (forall @t37 (or @t241 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t36 @t1) @t36)))) % 0.51/1.02 (assume @p92 (forall @t37 (or @t241 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t10 @t1) @t36)))) % 0.51/1.02 (assume @p93 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t25 @t19) @t20))) % 0.51/1.02 (assume @p94 (forall @t141 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t20 @t19) @t20))) % 0.51/1.02 (assume @p95 (forall (@list @t25 @t5 @t1) (tptp.c_lessequals @t25 @t28 @t19))) % 0.51/1.02 (assume @p96 (forall @t243 (tptp.c_lessequals (tptp.c_Set_Oimage @t55 @t242 @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t180 @t19) @t19))) % 0.51/1.02 (assume @p97 (forall @t156 (tptp.c_lessequals @t245 @t244 @t19))) % 0.51/1.02 (assume @p98 (forall @t183 (or (not @t247) @t246))) % 0.51/1.02 (assume @p99 (forall @t183 (or @t247 @t248))) % 0.51/1.02 (assume @p100 (forall @t118 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t116 @t114 @t19) @t51 @t1 @t2) (tptp.c_HOL_Ominus__class_Ominus @t117 @t115 @t43)))) % 0.51/1.02 (assume @p101 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t20 @t19) @t11))) % 0.51/1.02 (assume @p102 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t11 @t19) @t20))) % 0.51/1.02 (assume @p103 (forall (@list @t3 @t65 @t1 @t2 @t45 @t11 @t51 @t25) (or (tptp.c_lessequals @t152 (tptp.c_Product__Type_OSigma @t11 (tptp.c_COMBK @t51 @t249 @t1) @t1 @t45) @t49) (not (tptp.c_lessequals @t65 (tptp.c_Product__Type_OSigma @t25 (tptp.c_COMBK @t51 @t249 @t2) @t2 @t45) @t150)) @t173))) % 0.51/1.02 (assume @p104 (forall @t251 (or @t250 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t23 @t57 @t1 @t1 @t1) @t23 @t39)) (not (tptp.c_Wellfounded_Owf @t57 @t1)) @t158))) % 0.51/1.02 (assume @p105 (forall @t254 (or @t253 @t16 (not @t252)))) % 0.51/1.02 (assume @p106 (forall @t89 (or @t252 @t255))) % 0.51/1.02 (assume @p107 (forall @t89 (or @t252 @t256))) % 0.51/1.02 (assume @p108 (forall @t113 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t257 (tptp.c_Relation_ORange @t65 @t1 @t1) @t19) @t20)) (not (tptp.c_Wellfounded_Owf @t65 @t1)) @t75 (tptp.c_Wellfounded_Owf @t235 @t1)))) % 0.51/1.02 (assume @p109 (forall @t261 (= (tptp.c_Product__Type_OSigma @t26 @t258 @t1 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t260 @t259 @t43)))) % 0.51/1.02 (assume @p110 (forall @t263 (or (tptp.c_Relation_Orefl__on @t50 @t235 @t1) @t262 @t143))) % 0.51/1.02 (assume @p111 (forall @t136 (or @t189 @t266))) % 0.51/1.02 (assume @p112 (forall @t136 (or @t189 @t267))) % 0.51/1.02 (assume @p113 (forall @t136 (or @t194 @t267))) % 0.51/1.02 (assume @p114 (forall @t136 (or @t194 @t266))) % 0.51/1.02 (assume @p115 (forall @t183 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t26 @t51 @t19) @t269))) % 0.51/1.02 (assume @p116 (forall @t128 (= @t269 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t25 @t126 @t19)))) % 0.51/1.02 (assume @p117 (forall @t37 (or @t241 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t36 @t1) @t10)))) % 0.51/1.02 (assume @p118 (forall @t37 (or @t241 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t10 @t1) @t10)))) % 0.51/1.02 (assume @p119 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t25 @t19) @t25))) % 0.51/1.02 (assume @p120 (forall @t141 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t20 @t19) @t11))) % 0.51/1.02 (assume @p121 (forall @t42 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t11 @t19) @t20))) % 0.51/1.02 (assume @p122 (forall (@list @t5 @t11 @t1 @t7 @t25 @t2) (= (tptp.c_Product__Type_OSigma @t29 @t270 @t1 @t2) (tptp.c_Set_Oinsert @t8 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t11 @t270 @t1 @t2) (tptp.c_Product__Type_OSigma @t29 @t172 @t1 @t2) @t43) @t6)))) % 0.51/1.02 (assume @p123 (forall (@list @t11 @t1 @t23) (or @t271 (not (tptp.c_lessequals @t11 (tptp.c_Relation_OImage @t23 @t11 @t1 @t1) @t19)) @t158))) % 0.51/1.02 (assume @p124 (forall @t37 (not (tptp.hBOOL (tptp.hAPP @t20 @t10))))) % 0.51/1.02 (assume @p125 (forall @t272 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t35 @t19) (tptp.c_HOL_Ominus__class_Ominus @t123 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t25 @t19) @t19)))) % 0.51/1.02 (assume @p126 (forall @t183 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t51 @t19) @t273))) % 0.51/1.02 (assume @p127 (forall (@list @t110 @t1 @t2 @t11) (or (= (tptp.c_Set_Oimage @t274 @t11 @t2 @t1) (tptp.c_Set_Oinsert @t110 @t20 @t1)) @t54))) % 0.51/1.02 (assume @p128 (forall @t276 (or (tptp.c_lessequals @t35 (tptp.c_HOL_Ominus__class_Ominus @t51 @t275 @t19) @t19) (not (tptp.c_lessequals @t275 @t25 @t19)) @t199))) % 0.51/1.02 (assume @p129 (forall @t277 (or @t91 @t105 @t119))) % 0.51/1.02 (assume @p130 (forall @t236 (or (tptp.c_Relation_Otrans @t280 @t1) (not (tptp.c_Relation_Otrans @t65 @t1)) @t279))) % 0.51/1.02 (assume @p131 (forall @t136 (or @t189 (tptp.c_lessequals @t282 @t281 @t1)))) % 0.51/1.02 (assume @p132 (forall @t283 (= @t273 (tptp.c_HOL_Ominus__class_Ominus @t126 @t25 @t19)))) % 0.51/1.02 (assume @p133 (forall (@list @t3 @t10 @t1 @t11) (or (tptp.c_in @t285 @t284 @t19) @t105))) % 0.51/1.02 (assume @p134 (forall @t195 (or @t189 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t131 @t1) @t10)))) % 0.51/1.02 (assume @p135 (forall @t125 (or (not (= (tptp.c_Relation_Orel__comp @t25 @t51 @t1 @t1 @t1) @t40)) @t286 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t39) @t51 @t1 @t1 @t1) @t40)))) % 0.51/1.02 (assume @p136 (forall @t283 (or @t286 (not (= (tptp.c_Relation_Orel__comp @t11 @t25 @t1 @t1 @t1) @t40)) (= (tptp.c_Relation_Orel__comp @t11 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t25 @t51 @t39) @t1 @t1 @t1) @t40)))) % 0.51/1.02 (assume @p137 (forall (@list @t76 @t288 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t76 @t288)) (not (tptp.hBOOL (tptp.hAPP @t76 @t287))) @t75))) % 0.51/1.02 (assume @p138 (forall @t222 (or @t221 (not @t290)))) % 0.51/1.02 (assume @p139 (forall @t222 (or @t290 @t291))) % 0.51/1.02 (assume @p140 (forall @t120 (or @t292 @t190 @t85))) % 0.51/1.02 (assume @p141 (forall @t195 (or @t294 @t293 @t197 @t192))) % 0.51/1.02 (assume @p142 (forall (@list @t76 @t2 @t45 @t1 @t129) (= (tptp.hAPP (tptp.c_split @t76 @t2 @t45 @t1) @t129) (tptp.hAPP (tptp.hAPP @t76 (tptp.hAPP (tptp.c_fst @t2 @t45) @t129)) (tptp.hAPP (tptp.c_snd @t2 @t45) @t129))))) % 0.51/1.02 (assume @p143 (forall @t195 (or @t294 @t293 @t192 @t197))) % 0.51/1.02 (assume @p144 (forall @t195 (or @t189 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t185 @t1) @t10)))) % 0.51/1.02 (assume @p145 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t26 @t19) @t11))) % 0.51/1.02 (assume @p146 (forall @t195 (or @t146 (= @t185 @t10) @t197))) % 0.51/1.02 (assume @p147 (forall @t195 (or @t146 (not @t295) @t191))) % 0.51/1.02 (assume @p148 (forall @t195 (or @t146 @t295 @t192))) % 0.51/1.02 (assume @p149 (forall @t120 (or @t296 @t85))) % 0.51/1.02 (assume @p150 (forall @t120 (or (= @t50 @t11) @t190))) % 0.51/1.02 (assume @p151 (forall @t120 (or (not @t296) @t84))) % 0.51/1.02 (assume @p152 (forall @t263 (or (tptp.c_Relation_Orefl__on @t26 @t280 @t1) @t262 @t143))) % 0.51/1.02 (assume @p153 (forall @t297 (tptp.c_Relation_Oantisym @t40 @t1))) % 0.51/1.02 (assume @p154 (forall (@list @t2 @t1) (= (tptp.c_Relation_ORange @t298 @t2 @t1) @t20))) % 0.51/1.02 (assume @p155 (forall @t303 (or @t302 @t301 @t299))) % 0.51/1.02 (assume @p156 (forall @t303 (or @t302 @t304 @t299))) % 0.51/1.02 (assume @p157 (forall @t303 (or @t302 @t301 @t305))) % 0.51/1.02 (assume @p158 (forall @t303 (or @t302 @t304 @t305))) % 0.51/1.02 (assume @p159 (forall @t307 (or (tptp.c_lessequals @t112 @t139 @t39) @t306))) % 0.51/1.02 (assume @p160 (forall @t113 (or @t239 (not (tptp.c_lessequals @t3 @t237 @t39))))) % 0.51/1.02 (assume @p161 (forall @t141 (or @t271 (not (tptp.c_lessequals @t11 @t20 @t19))))) % 0.51/1.02 (assume @p162 (forall @t297 (tptp.c_lessequals @t20 @t20 @t19))) % 0.51/1.02 (assume @p163 (forall (@list @t1 @t5 @t11) (not (= @t20 @t29)))) % 0.51/1.02 (assume @p164 (forall @t297 (tptp.c_Relation_Orefl__on @t20 @t40 @t1))) % 0.51/1.02 (assume @p165 (forall @t53 (or (= @t309 (tptp.c_Set_Oinsert @t5 @t268 @t1)) (not @t308)))) % 0.51/1.02 (assume @p166 (forall @t34 (or (= @t312 @t27) @t311))) % 0.51/1.02 (assume @p167 (forall (@list @t55 @t5 @t25 @t2 @t1) (= (tptp.c_Set_Oimage @t55 (tptp.c_Set_Oinsert @t5 @t25 @t2) @t2 @t1) (tptp.c_Set_Oinsert @t313 @t180 @t1)))) % 0.51/1.02 (assume @p168 (forall (@list @t1 @t3) (tptp.c_Relation_Ototal__on @t20 @t3 @t1))) % 0.51/1.02 (assume @p169 (forall @t276 (or (tptp.c_lessequals @t50 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t275 @t19) @t19) @t314 @t199))) % 0.51/1.02 (assume @p170 (forall @t317 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t65 @t81) @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t316 @t315 @t43)))) % 0.51/1.02 (assume @p171 (forall @t195 (or @t189 @t318))) % 0.51/1.02 (assume @p172 (forall @t195 (or @t189 @t319))) % 0.51/1.02 (assume @p173 (forall @t136 (or @t194 @t320 @t216 @t192))) % 0.51/1.02 (assume @p174 (forall @t327 (or @t194 @t326 @t324 @t322))) % 0.51/1.02 (assume @p175 (forall @t195 (or @t194 @t319))) % 0.51/1.02 (assume @p176 (forall @t195 (or @t194 @t318))) % 0.51/1.02 (assume @p177 (forall @t120 (tptp.c_lessequals @t26 @t11 @t19))) % 0.51/1.02 (assume @p178 (forall @t120 (tptp.c_lessequals @t26 @t25 @t19))) % 0.51/1.02 (assume @p179 (forall @t272 (or @t329 (not @t328) @t248))) % 0.51/1.02 (assume @p180 (forall @t261 (= (tptp.c_Product__Type_OSigma @t50 @t258 @t1 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t260 @t259 @t43)))) % 0.51/1.02 (assume @p181 (forall @t138 (or @t135 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t264 @t10 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t330 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t129 @t10 @t1) @t1))))) % 0.51/1.02 (assume @p182 (forall @t136 (or @t135 (= @t282 @t281)))) % 0.51/1.02 (assume @p183 (forall @t128 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t268 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t181 @t19)))) % 0.51/1.02 (assume @p184 (forall @t136 (or @t189 (tptp.c_lessequals @t132 @t134 @t1)))) % 0.51/1.02 (assume @p185 (forall (@list @t57 @t1 @t23) (or (= @t60 @t61) (not (tptp.c_lessequals @t57 @t61 @t39)) (not (tptp.c_lessequals @t23 @t57 @t39))))) % 0.51/1.02 (assume @p186 (forall @t120 (tptp.c_lessequals @t35 @t11 @t19))) % 0.51/1.02 (assume @p187 (forall @t30 (= @t331 @t29))) % 0.51/1.02 (assume @p188 (forall (@list @t5 @t1 @t7) (or (not (= @t31 @t228)) @t332))) % 0.51/1.02 (assume @p189 (forall @t183 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t26 @t268 @t19) @t123 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t50 @t52 @t19) @t333 @t19)))) % 0.51/1.02 (assume @p190 (forall @t297 (= (tptp.c_Relation_OId__on @t20 @t1) @t40))) % 0.51/1.02 (assume @p191 (forall (@list @t110 @t1 @t2) (= (tptp.c_Set_Oimage @t274 @t22 @t2 @t1) @t20))) % 0.51/1.02 (assume @p192 (forall (@list @t10 @t171 @t1) (or (not (= (tptp.c_Set_Oinsert @t10 @t171 @t1) @t20)) (tptp.c_in @t10 @t171 @t1)))) % 0.51/1.02 (assume @p193 (forall @t297 (tptp.c_Wellfounded_Owf @t40 @t1))) % 0.51/1.02 (assume @p194 (forall @t277 (or @t90 @t88))) % 0.51/1.02 (assume @p195 (forall @t118 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t114 @t19) @t51 @t1 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t117 @t115 @t43)))) % 0.51/1.02 (assume @p196 (forall (@list @t12 @t11 @t1 @t10) (or @t14 @t256))) % 0.51/1.02 (assume @p197 (forall @t108 (or @t107 @t85 @t104))) % 0.51/1.02 (assume @p198 (forall @t89 (or @t84 @t104 @t109))) % 0.51/1.02 (assume @p199 (forall @t89 (or @t84 @t109 @t104))) % 0.51/1.02 (assume @p200 (forall @t317 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t65 @t81) @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t316 @t315 @t43)))) % 0.51/1.02 (assume @p201 (forall @t34 (or (= @t312 @t26) @t310))) % 0.51/1.02 (assume @p202 (forall @t53 (or (= @t309 @t268) @t308))) % 0.51/1.02 (assume @p203 (forall @t337 (or @t336 @t335))) % 0.51/1.02 (assume @p204 (forall @t120 (or @t338 (= @t25 @t20)))) % 0.51/1.02 (assume @p205 (forall @t120 (or @t338 @t271))) % 0.51/1.02 (assume @p206 (forall @t340 (or @t241 @t339 (= @t11 @t36)))) % 0.51/1.02 (assume @p207 (forall @t340 (or @t241 @t339 (= @t25 @t36)))) % 0.51/1.02 (assume @p208 (forall @t203 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t223 @t11 @t19) @t341))) % 0.51/1.02 (assume @p209 (forall @t120 (= @t224 @t50))) % 0.51/1.02 (assume @p210 (forall (@list @t57 @t342 @t1 @t45 @t23 @t2) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t342 @t49) @t23 @t1 @t45 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t57 @t23 @t1 @t45 @t2) (tptp.c_Relation_Orel__comp @t342 @t23 @t1 @t45 @t2) @t43)))) % 0.51/1.02 (assume @p211 (forall (@list @t23 @t57 @t342 @t45 @t2 @t1) (= (tptp.c_Relation_Orel__comp @t23 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t342 @t47) @t1 @t45 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t23 @t57 @t1 @t45 @t2) (tptp.c_Relation_Orel__comp @t23 @t342 @t1 @t45 @t2) @t43)))) % 0.51/1.02 (assume @p212 (forall (@list @t51 @t25 @t1 @t11) (or @t328 @t343))) % 0.51/1.02 (assume @p213 (forall (@list @t51 @t11 @t1 @t25) (or @t246 @t343))) % 0.51/1.02 (assume @p214 (forall @t327 (or @t194 @t321 @t344))) % 0.51/1.02 (assume @p215 (forall (@list @t1 @t10 @t7 @t5) (or @t194 @t323 @t344))) % 0.51/1.02 (assume @p216 (forall @t210 (or @t194 @t345 @t205))) % 0.51/1.02 (assume @p217 (forall @t210 (or @t194 @t345 @t207))) % 0.51/1.02 (assume @p218 (forall @t136 (or @t194 @t191 @t346))) % 0.51/1.02 (assume @p219 (forall @t347 (or @t194 @t215 @t346))) % 0.51/1.02 (assume @p220 (forall @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t50 @t51 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t349 @t348 @t19)))) % 0.51/1.02 (assume @p221 (forall @t120 (= @t50 @t341))) % 0.51/1.02 (assume @p222 (forall @t195 (or @t146 @t350))) % 0.51/1.02 (assume @p223 (forall @t195 (or @t189 @t350))) % 0.51/1.02 (assume @p224 (forall @t240 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t43) @t1 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t122 @t121 @t19)))) % 0.51/1.02 (assume @p225 (forall @t30 (= @t29 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t11 @t19)))) % 0.51/1.02 (assume @p226 (forall (@list @t1 @t25 @t2) (= (tptp.c_Product__Type_OSigma @t20 @t25 @t1 @t2) @t44))) % 0.51/1.02 (assume @p227 (forall (@list @t351 @t1 @t352) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t351 @t1) (tptp.c_Wellfounded_Oacc @t352 @t1) @t19) (not (tptp.c_lessequals @t352 @t351 @t39))))) % 0.51/1.02 (assume @p228 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t50 @t19) @t50))) % 0.51/1.02 (assume @p229 (forall @t195 (or @t146 @t353))) % 0.51/1.02 (assume @p230 (forall @t195 (or @t189 @t353))) % 0.51/1.02 (assume @p231 (forall @t354 (or (not (= @t4 @t20)) (= @t3 @t44)))) % 0.51/1.02 (assume @p232 (forall (@list @t1 @t55 @t2) (= @t20 @t179))) % 0.51/1.02 (assume @p233 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t223 @t19) @t20))) % 0.51/1.02 (assume @p234 (forall @t355 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t25 @t81) @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t83 @t82 @t19) @t19))) % 0.51/1.02 (assume @p235 (forall @t79 (or @t78 (not (tptp.hBOOL (tptp.hAPP @t76 @t356))) @t75))) % 0.51/1.02 (assume @p236 (forall @t63 (= (tptp.c_Transitive__Closure_Ortrancl @t62 @t1) @t59))) % 0.51/1.02 (assume @p237 (forall @t93 (or (= @t92 (tptp.c_Set_Oinsert @t10 @t35 @t1)) @t90))) % 0.51/1.02 (assume @p238 (forall @t108 (or @t107 @t85 @t103))) % 0.51/1.02 (assume @p239 (forall @t254 (or @t253 @t358))) % 0.51/1.02 (assume @p240 (forall @t108 (or @t16 @t358))) % 0.51/1.02 (assume @p241 (forall @t361 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t360 @t3 @t80) @t2 @t1) (tptp.c_Set_Oinsert @t7 @t359 @t1)))) % 0.51/1.02 (assume @p242 (forall @t236 (or (tptp.c_Relation_Osym @t280 @t1) @t234 @t233))) % 0.51/1.02 (assume @p243 (forall @t18 (or (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t101 @t19) @t11) @t104))) % 0.51/1.02 (assume @p244 (forall @t183 (or @t363 (not @t362)))) % 0.51/1.02 (assume @p245 (forall @t128 (or @t362 (not @t363)))) % 0.51/1.02 (assume @p246 (forall (@list @t55 @t364 @t3 @t10 @t1 @t2) (or (not (= (tptp.hAPP @t55 @t366) (tptp.hAPP @t364 @t366))) @t365))) % 0.51/1.02 (assume @p247 (forall @t371 (or @t221 @t370))) % 0.51/1.02 (assume @p248 (forall (@list @t2 @t55 @t10 @t364 @t1) (or (not (tptp.class_HOL_Oord @t2)) (tptp.c_lessequals @t372 (tptp.hAPP @t364 @t10) @t2) (not (tptp.c_lessequals @t55 @t364 (tptp.tc_fun @t1 @t2)))))) % 0.51/1.02 (assume @p249 (forall @t378 (or @t377 @t376 @t374))) % 0.51/1.02 (assume @p250 (forall (@list @t5 @t7 @t11 @t1) (or @t379 @t311))) % 0.51/1.02 (assume @p251 (forall (@list @t5 @t7 @t25 @t1) (or (tptp.c_in @t5 @t86 @t1) (not (tptp.c_in @t5 @t25 @t1))))) % 0.51/1.02 (assume @p252 (forall (@list @t64 @t25 @t1 @t11) (or (tptp.c_in @t64 @t25 @t1) (not (tptp.c_in @t64 @t11 @t1)) @t85))) % 0.51/1.02 (assume @p253 (forall @t277 (or @t90 @t85 @t105))) % 0.51/1.02 (assume @p254 (forall @t380 (or @t375 @t374 @t85))) % 0.51/1.02 (assume @p255 (forall @t277 (or @t90 @t105 @t85))) % 0.51/1.02 (assume @p256 (forall @t378 (or @t381 @t374))) % 0.51/1.02 (assume @p257 (forall @t378 (or @t381 @t376))) % 0.51/1.02 (assume @p258 (forall @t383 @t382)) % 0.51/1.02 (assume @p259 (forall @t385 (or @t384 @t382))) % 0.51/1.02 (assume @p260 (forall (@list @t110 @t1) (not (tptp.c_in @t110 @t20 @t1)))) % 0.51/1.03 (assume @p261 (forall @t386 (not (tptp.c_in @t5 @t20 @t1)))) % 0.51/1.03 (assume @p262 (forall (@list @t5 @t11 @t1 @t7) (or @t310 @t332 (not @t379)))) % 0.51/1.03 (assume @p263 (forall @t380 (or @t375 @t373 (not @t381)))) % 0.51/1.03 (assume @p264 (forall @t380 (or @t376 @t388))) % 0.51/1.03 (assume @p265 (forall @t389 (or @t373 @t388))) % 0.51/1.03 (assume @p266 (forall @t18 (tptp.c_in @t10 @t17 @t1))) % 0.51/1.03 (assume @p267 (forall (@list @t5 @t25 @t1) (tptp.c_in @t5 @t28 @t1))) % 0.51/1.03 (assume @p268 (forall (@list @t10 @t25 @t1) (tptp.c_in @t10 @t106 @t1))) % 0.51/1.03 (assume @p269 (forall @t380 (or @t375 @t390))) % 0.51/1.03 (assume @p270 (forall @t389 (or @t373 @t390))) % 0.51/1.03 (assume @p271 (forall @t385 (or @t391 @t382))) % 0.51/1.03 (assume @p272 (forall @t378 (or @t387 @t375 @t374))) % 0.51/1.03 (assume @p273 (forall @t93 (or (not (= @t17 @t106)) @t90 @t104 @t292))) % 0.51/1.03 (assume @p274 (forall @t30 (or (= @t29 @t11) @t311))) % 0.51/1.03 (assume @p275 (forall (@list @t1 @t2 @t5 @t7) (= (tptp.hAPP @t66 @t8) @t5))) % 0.51/1.03 (assume @p276 (forall (@list @t10 @t1 @t2 @t12) (= @t10 (tptp.hAPP @t66 @t392)))) % 0.51/1.03 (assume @p277 (forall (@list @t2 @t1 @t5 @t7) (= (tptp.hAPP @t393 @t360) @t7))) % 0.51/1.03 (assume @p278 (forall (@list @t12 @t2 @t1 @t10) (= @t12 @t395))) % 0.51/1.03 (assume @p279 (forall (@list @t76 @t1 @t2 @t71 @t70 @t161) (or (tptp.hBOOL (tptp.hAPP @t76 (tptp.hAPP @t66 @t398))) @t397 @t396))) % 0.51/1.03 (assume @p280 (forall (@list @t161 @t1 @t2 @t71 @t70 @t76) (or (tptp.hBOOL (tptp.hAPP @t161 (tptp.hAPP @t68 @t398))) @t397 @t396))) % 0.51/1.03 (assume @p281 (forall @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t268 @t11 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t341 @t333 @t19)))) % 0.51/1.03 (assume @p282 (forall @t307 (or @t278 @t335))) % 0.51/1.03 (assume @p283 (forall @t18 (tptp.hBOOL (tptp.hAPP @t17 @t10)))) % 0.51/1.03 (assume @p284 (forall @t93 (or @t87 @t85 @t91))) % 0.51/1.03 (assume @p285 (forall @t261 (= (tptp.c_Product__Type_OSigma @t35 @t258 @t1 @t2) (tptp.c_HOL_Ominus__class_Ominus @t260 @t259 @t43)))) % 0.51/1.03 (assume @p286 (forall @t195 (or @t189 @t399))) % 0.51/1.03 (assume @p287 (forall @t195 (or @t194 @t399))) % 0.51/1.03 (assume @p288 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t26 @t19) @t26))) % 0.51/1.03 (assume @p289 (forall @t355 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t25 @t81) @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t83 @t82 @t19)))) % 0.51/1.03 (assume @p290 (forall (@list @t3 @t147 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t147 @t39) @t1) @t75))) % 0.51/1.03 (assume @p291 (forall (@list @t147 @t3 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t147 @t3 @t39) @t1) @t75))) % 0.51/1.03 (assume @p292 (forall @t30 (or (= @t331 @t11) @t311))) % 0.51/1.03 (assume @p293 (forall @t37 (or @t194 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t10 @t1) @t10)))) % 0.51/1.03 (assume @p294 (forall @t141 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t11 @t19) @t11))) % 0.51/1.03 (assume @p295 (forall @t138 (or @t146 @t217 @t400))) % 0.51/1.03 (assume @p296 (forall @t347 (or @t146 @t215 @t400))) % 0.51/1.03 (assume @p297 (forall @t327 (or @t146 @t401 @t324))) % 0.51/1.03 (assume @p298 (forall @t327 (or @t146 @t401 @t322))) % 0.51/1.03 (assume @p299 (forall (@list @t1 @t7 @t10 @t5) (or @t146 @t206 @t402))) % 0.51/1.03 (assume @p300 (forall (@list @t1 @t5 @t10 @t7) (or @t146 @t204 @t402))) % 0.51/1.03 (assume @p301 (forall @t283 (or @t198 @t403))) % 0.51/1.03 (assume @p302 (forall @t125 (or @t200 @t403))) % 0.51/1.03 (assume @p303 (forall (@list @t1 @t129 @t10 @t12) (or @t294 @t214 (not (tptp.c_lessequals @t129 @t12 @t1)) @t197))) % 0.51/1.03 (assume @p304 (forall @t347 (or @t404 @t215 @t218 @t192))) % 0.51/1.03 (assume @p305 (forall @t383 (tptp.c_lessequals @t10 @t10 @t19))) % 0.51/1.03 (assume @p306 (forall @t141 (tptp.c_lessequals @t11 @t11 @t19))) % 0.51/1.03 (assume @p307 (forall @t283 (or @t198 @t201 @t85))) % 0.51/1.03 (assume @p308 (forall @t407 (or @t406 @t391 @t405))) % 0.51/1.03 (assume @p309 (forall (@list @t71 @t1 @t3) (or (tptp.c_Wellfounded_Owf @t71 @t1) (not (tptp.c_lessequals @t71 @t3 @t39)) @t75))) % 0.51/1.03 (assume @p310 (forall @t37 (or @t294 @t408))) % 0.51/1.03 (assume @p311 (forall @t37 (or @t404 @t408))) % 0.51/1.03 (assume @p312 (forall @t113 (or @t409 (not (tptp.c_Relation_Oantisym @t65 @t1)) @t111))) % 0.51/1.03 (assume @p313 (forall @t407 (or @t406 @t405 @t391))) % 0.51/1.03 (assume @p314 (forall @t113 (or @t221 @t111 (not (tptp.c_Wellfounded_Oacyclic @t65 @t1))))) % 0.51/1.03 (assume @p315 (forall @t412 (or @t411 (not (tptp.c_Relation_Osingle__valued @t65 @t1 @t2)) @t410))) % 0.51/1.03 (assume @p316 (forall (@list @t55 @t11 @t2 @t1) (or (not (= @t56 @t20)) @t54))) % 0.51/1.03 (assume @p317 (forall @t276 (or (tptp.c_lessequals @t26 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t275 @t19) @t19) @t314 @t199))) % 0.51/1.03 (assume @p318 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t52 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t349 @t19)))) % 0.51/1.03 (assume @p319 (forall @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t51 @t19) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t348 @t19)))) % 0.51/1.03 (assume @p320 (forall @t383 (tptp.c_in @t10 @t101 @t1))) % 0.51/1.03 (assume @p321 (forall @t412 (or (tptp.c_lessequals @t4 (tptp.c_Relation_ODomain @t65 @t1 @t2) @t19) @t410))) % 0.51/1.03 (assume @p322 (forall (@list @t11 @t10 @t1) (or (= @t11 @t101) @t271 (not (tptp.c_lessequals @t11 @t101 @t19))))) % 0.51/1.03 (assume @p323 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t268 @t19) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t349 @t19)))) % 0.51/1.03 (assume @p324 (forall (@list @t11 @t2 @t1) (= (tptp.c_Product__Type_OSigma @t11 (tptp.c_COMBK @t22 @t21 @t1) @t1 @t2) @t44))) % 0.51/1.03 (assume @p325 (forall (@list @t413 @t415 @t1 @t11 @t3) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t413 @t415 @t19) @t20) @t417 @t416 @t414 @t162))) % 0.51/1.03 (assume @p326 (forall @t89 (or @t357 @t255 @t256))) % 0.51/1.03 (assume @p327 (forall (@list @t25 @t51 @t11 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t25 (tptp.c_HOL_Ominus__class_Ominus @t51 @t11 @t19) @t19) @t11) @t201 @t85))) % 0.51/1.03 (assume @p328 (forall @t421 (or @t420 @t419 @t418 @t197))) % 0.51/1.03 (assume @p329 (forall @t421 (or @t420 @t419 @t196 (not @t418)))) % 0.51/1.03 (assume @p330 (forall (@list @t55 @t11 @t1 @t2 @t25) (or (tptp.c_lessequals @t422 (tptp.c_Set_Oimage @t55 @t25 @t1 @t2) @t21) @t85))) % 0.51/1.03 (assume @p331 (forall @t423 (or (not (tptp.c_lessequals @t10 @t11 @t21)) (tptp.c_lessequals (tptp.c_Set_Oimage @t55 @t10 @t2 @t1) @t56 @t19)))) % 0.51/1.03 (assume @p332 (forall (@list @t5 @t51 @t1 @t275) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t5 @t51 @t1) (tptp.c_Set_Oinsert @t5 @t275 @t1) @t19) (not (tptp.c_lessequals @t51 @t275 @t19))))) % 0.51/1.03 (assume @p333 (forall @t297 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t20 @t19) @t20))) % 0.51/1.03 (assume @p334 (forall @t243 (= (tptp.c_Set_Oimage @t55 @t155 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t180 @t19)))) % 0.51/1.03 (assume @p335 (forall @t297 (= (tptp.c_Transitive__Closure_Otrancl @t40 @t1) @t40))) % 0.51/1.03 (assume @p336 (forall (@list @t76 @t2 @t1 @t10 @t12) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t76 @t395) (tptp.hAPP (tptp.c_fst @t2 @t1) @t394))) (not (tptp.hBOOL (tptp.hAPP @t424 @t10)))))) % 0.51/1.03 (assume @p337 (forall @t425 (or (not (= @t359 @t20)) (= @t3 @t298)))) % 0.51/1.03 (assume @p338 (forall (@list @t147 @t426 @t1 @t2 @t3 @t11) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t147 @t426 @t1 @t2) @t427 @t21) (not (tptp.c_lessequals @t426 @t11 @t19)) @t148))) % 0.51/1.03 (assume @p339 (forall @t145 (or @t144 @t162))) % 0.51/1.03 (assume @p340 (forall @t213 (or (not (tptp.class_Orderings_Olinorder @t1)) @t196 @t191))) % 0.51/1.03 (assume @p341 (forall @t307 (or @t428 @t335))) % 0.51/1.03 (assume @p342 (forall @t430 (or @t369 @t429 @t291))) % 0.51/1.03 (assume @p343 (forall @t432 (or @t431 @t370))) % 0.51/1.03 (assume @p344 (forall @t439 (or @t78 (tptp.c_in (tptp.c_Pair @t438 @t437 @t1 @t1) @t3 @t38) @t436 @t434))) % 0.51/1.03 (assume @p345 (forall @t443 (or @t435 (tptp.c_in (tptp.c_Pair @t442 @t441 @t1 @t1) @t3 @t38) @t440 @t434))) % 0.51/1.03 (assume @p346 (forall (@list @t5 @t3 @t1 @t11) (or (tptp.c_in @t5 @t230 @t1) @t311 @t162))) % 0.51/1.03 (assume @p347 (forall @t113 (or (tptp.c_lessequals @t238 @t65 @t39) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t238 @t65 @t39) @t3 @t1 @t1 @t1) @t65 @t39)) (not (tptp.c_lessequals @t444 @t65 @t39))))) % 0.51/1.03 (assume @p348 (forall (@list @t5 @t7 @t1 @t3 @t10 @t11) (or @t226 (not (tptp.c_in @t10 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t230 @t229 @t19) @t1)) @t162))) % 0.51/1.03 (assume @p349 (forall (@list @t5 @t7 @t1 @t3 @t11) (or @t226 @t445 (not (tptp.c_lessequals @t229 @t230 @t19)) @t162))) % 0.51/1.03 (assume @p350 (forall @t446 (or (= (tptp.c_Set_Oinsert @t372 @t422 @t2) @t422) @t105))) % 0.51/1.03 (assume @p351 (forall (@list @t55 @t10 @t25 @t1 @t11 @t2) (or (tptp.c_in @t372 @t25 @t1) @t447 (not (tptp.c_lessequals @t56 @t25 @t19))))) % 0.51/1.03 (assume @p352 (forall @t361 (or @t449 (not @t448)))) % 0.51/1.03 (assume @p353 (forall (@list @t7 @t3 @t5 @t2 @t1) (or @t448 (not @t449)))) % 0.51/1.03 (assume @p354 (forall @t100 (or (not (= @t98 @t97)) @t94 @t292))) % 0.51/1.03 (assume @p355 (forall @t371 (or @t74 @t451))) % 0.51/1.03 (assume @p356 (forall @t453 (or @t452 (not (tptp.c_in @t10 @t61 @t38))))) % 0.51/1.03 (assume @p357 (forall @t453 (or @t452 (not (tptp.c_in @t10 @t60 @t38))))) % 0.51/1.03 (assume @p358 (forall (@list @t71 @t65 @t1 @t3) (or (tptp.c_in @t71 (tptp.c_Transitive__Closure_Otrancl @t65 @t1) @t38) @t111 (not @t454)))) % 0.51/1.03 (assume @p359 (forall @t231 (or @t455 @t227 @t162))) % 0.51/1.03 (assume @p360 (forall @t457 (or @t456 @t167 @t162))) % 0.51/1.03 (assume @p361 (forall @t63 (or @t459 (not @t250)))) % 0.51/1.03 (assume @p362 (forall @t251 (or @t250 (not @t459)))) % 0.51/1.03 (assume @p363 (forall @t460 (or (not (= @t458 @t40)) @t157))) % 0.51/1.03 (assume @p364 (forall @t222 (= @t112 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 (tptp.c_Relation_Orel__comp @t112 @t3 @t1 @t1 @t1) @t39)))) % 0.51/1.03 (assume @p365 (forall @t460 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t444 @t39) @t61))) % 0.51/1.03 (assume @p366 (forall @t460 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t444 @t39) @t1) @t61))) % 0.51/1.03 (assume @p367 (forall @t297 (= (tptp.c_Transitive__Closure_Ortrancl @t40 @t1) @t444))) % 0.51/1.03 (assume @p368 (forall @t222 (= (tptp.c_Transitive__Closure_Ortrancl @t461 @t1) @t238))) % 0.51/1.03 (assume @p369 (forall @t222 (or (tptp.c_Relation_Oantisym @t238 @t1) @t291))) % 0.51/1.03 (assume @p370 (forall @t222 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t3 @t3 @t1 @t1 @t1) @t3 @t39) @t279))) % 0.51/1.03 (assume @p371 (forall @t222 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t289 @t39) @t1))) % 0.51/1.03 (assume @p372 (forall @t222 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t289 @t39) @t1))) % 0.51/1.03 (assume @p373 (forall @t466 (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Oabove @t464 @t10 @t12) tptp.c_Arrow__Order__Mirabelle_OLin @t463) @t465 @t293))) % 0.51/1.03 (assume @p374 (forall @t466 (or (tptp.c_in (tptp.c_Arrow__Order__Mirabelle_Obelow @t464 @t10 @t12) tptp.c_Arrow__Order__Mirabelle_OLin @t463) @t465 @t293))) % 0.51/1.03 (assume @p375 (forall @t222 (or (tptp.c_Relation_Otrans @t467 @t1) @t279))) % 0.51/1.03 (assume @p376 (forall (@list @t11 @t1 @t25) (= (tptp.c_Relation_OImage @t140 @t25 @t1 @t1) @t26))) % 0.51/1.03 (assume @p377 (forall @t222 (or @t409 (not @t468)))) % 0.51/1.03 (assume @p378 (forall @t222 (or @t468 @t469))) % 0.51/1.03 (assume @p379 (forall @t337 (or @t336 (not @t470)))) % 0.51/1.03 (assume @p380 (forall @t337 (or @t470 @t471))) % 0.51/1.03 (assume @p381 (forall @t476 (or @t475 @t473 @t227))) % 0.51/1.03 (assume @p382 (forall @t478 (or @t454 @t477))) % 0.51/1.03 (assume @p383 (forall @t478 (or (tptp.c_in @t71 @t238 @t38) @t477))) % 0.51/1.03 (assume @p384 (forall @t483 (or @t482 (not @t479) @t293 @t465))) % 0.51/1.03 (assume @p385 (forall (@list @t413 @t415 @t10 @t12 @t1 @t3 @t11) (or @t417 @t167 (not (tptp.c_in @t12 @t415 @t1)) (not (tptp.c_in @t10 @t413 @t1)) @t416 @t414 @t162))) % 0.51/1.03 (assume @p386 (forall (@list @t12 @t10 @t1 @t171 @t11 @t3) (or (not (tptp.c_in @t12 @t10 @t1)) (not (tptp.c_in @t171 @t10 @t1)) @t484 @t484 @t162 (tptp.c_in (tptp.c_Pair @t171 @t12 @t1 @t1) @t3 @t38)))) % 0.51/1.03 (assume @p387 (forall @t222 (or (tptp.c_lessequals @t485 @t3 @t39) @t279 @t233))) % 0.51/1.03 (assume @p388 (forall @t488 (or (not (tptp.c_in @t487 @t486 @t462)) @t465 @t332))) % 0.51/1.03 (assume @p389 (forall @t496 (or @t495 @t493 @t493 @t465 @t492 @t491))) % 0.51/1.03 (assume @p390 (forall (@list @t10 @t7 @t12 @t464) (or @t498 @t293 @t465 @t498 @t497 @t482))) % 0.51/1.03 (assume @p391 (forall (@list @t10 @t12 @t464 @t7 @t5) (or @t481 @t500 @t498 (not @t499) @t465 @t332))) % 0.51/1.03 (assume @p392 (forall @t501 (or @t493 (not @t491) @t465 @t492 @t494 (= @t171 @t5)))) % 0.51/1.03 (assume @p393 (forall (@list @t10 @t12 @t464 @t5) (or (not @t503) @t465 @t492 @t502))) % 0.51/1.03 (assume @p394 (forall @t509 (or @t508 @t506 @t293 @t465 @t498 @t505))) % 0.51/1.03 (assume @p395 (forall @t501 (or @t510 @t493 @t465 @t492 @t511 @t510))) % 0.51/1.03 (assume @p396 (forall @t515 (or @t514 @t482 @t512 @t506 @t293 @t465 @t332))) % 0.51/1.03 (assume @p397 (forall @t515 (or @t514 @t482 @t508 @t516 @t293 @t465 @t332))) % 0.51/1.03 (assume @p398 (forall @t520 (or @t493 @t519 @t465 @t519 @t518))) % 0.51/1.03 (assume @p399 (forall @t515 (or @t499 @t482 @t522 @t521 @t293 @t465 @t332))) % 0.51/1.03 (assume @p400 (forall @t520 (or @t510 @t493 @t465 @t493 @t523))) % 0.51/1.03 (assume @p401 (forall (@list @t5 @t12 @t464 @t10) (or @t521 @t293 @t465 @t492 @t503))) % 0.51/1.03 (assume @p402 (forall @t515 (or @t499 @t482 @t500 @t498 @t293 @t465 @t332))) % 0.51/1.03 (assume @p403 (forall @t488 (or (not (tptp.c_in @t487 @t513 @t462)) @t465 @t332))) % 0.51/1.03 (assume @p404 (forall @t509 (or @t508 @t15 @t293 @t465 @t498 @t505))) % 0.51/1.03 (assume @p405 (forall (@list @t10 @t5 @t171 @t464) (or @t512 @t493 @t465 @t492 @t511 @t510))) % 0.51/1.03 (assume @p406 (forall @t515 (or @t481 @t512 @t516 (not @t514) @t465 @t332))) % 0.51/1.03 (assume @p407 (forall (@list @t12 @t10 @t464 @t7) (or @t15 (not @t505) @t465 @t498 @t507 @t500))) % 0.51/1.03 (assume @p408 (forall (@list @t171 @t10 @t464 @t7) (or (not @t525) @t465 @t498 @t524))) % 0.51/1.03 (assume @p409 (forall @t496 (or @t495 (not (tptp.c_in (tptp.c_Pair @t5 @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) @t464 @t462)) @t493 @t465 @t492 @t491))) % 0.51/1.03 (assume @p410 (forall (@list @t10 @t12 @t464 @t7) (or @t482 @t293 @t465 @t498 @t497 @t482))) % 0.51/1.03 (assume @p411 (forall @t515 (or @t499 @t482 @t500 @t521 @t293 @t465 @t332))) % 0.51/1.03 (assume @p412 (forall @t515 (or @t499 @t482 @t522 @t498 @t293 @t465 @t332))) % 0.51/1.03 (assume @p413 (forall @t520 (or @t493 @t493 @t465 @t493 @t523))) % 0.51/1.03 (assume @p414 (forall @t515 (or @t514 @t482 @t508 @t506 @t293 @t465 @t332))) % 0.51/1.03 (assume @p415 (forall (@list @t10 @t171 @t464) (or (not (tptp.c_in @t517 @t464 @t462)) @t519 @t465 @t519 @t518))) % 0.51/1.03 (assume @p416 (forall (@list @t171 @t7 @t464 @t10) (or (not @t524) @t493 @t465 @t498 @t525))) % 0.51/1.03 (assume @p417 (forall @t515 (or @t514 @t482 @t512 @t516 @t293 @t465 @t332))) % 0.51/1.03 (assume @p418 (forall @t530 (or (tptp.c_in (tptp.c_Pair @t10 @t529 @t1 @t1) @t61 @t38) @t528))) % 0.51/1.03 (assume @p419 (forall @t532 (or (tptp.c_in (tptp.c_Pair @t531 @t12 @t1 @t1) @t61 @t38) @t528))) % 0.51/1.03 (assume @p420 (forall @t432 (or @t431 @t451))) % 0.51/1.03 (assume @p421 (forall @t430 (or @t450 @t429 @t75))) % 0.51/1.03 (assume @p422 (forall @t337 (or @t334 @t471 @t533 @t279))) % 0.51/1.03 (assume @p423 (forall @t222 (or @t535 (not (tptp.c_in (tptp.c_Pair @t534 @t534 @t1 @t1) @t3 @t38))))) % 0.51/1.03 (assume @p424 (forall @t222 (or (tptp.c_Relation_Otrans @t461 @t1) @t469 @t279))) % 0.51/1.03 (assume @p425 (forall @t156 (or (= @t245 @t244) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t23 @t2 @t1) @t1 @t2))))) % 0.51/1.03 (assume @p426 (forall @t222 (or @t428 (tptp.c_in (tptp.c_Pair @t536 @t536 @t1 @t1) @t3 @t38)))) % 0.51/1.03 (assume @p427 (= (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))) % 0.51/1.03 (assume @p428 (forall @t307 (or (tptp.c_lessequals @t3 @t485 @t39) @t143))) % 0.51/1.03 (assume @p429 (forall @t222 (= @t238 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t444 @t537 @t39)))) % 0.51/1.03 (assume @p430 (forall @t222 (= @t538 @t238))) % 0.51/1.03 (assume @p431 (forall @t222 (= (tptp.c_Transitive__Closure_Otrancl @t467 @t1) @t238))) % 0.51/1.03 (assume @p432 (forall @t222 (= @t238 @t538))) % 0.51/1.03 (assume @p433 (forall (@list @t55 @t3 @t10 @t1 @t2 @t364) (or @t365 (tptp.c_in (tptp.c_Pair @t366 @t10 @t1 @t1) @t3 @t38)))) % 0.51/1.03 (assume @p434 (forall (@list @t110 @t11 @t1) (or (= @t110 (tptp.c_Pair @t540 @t540 @t1 @t1)) @t539))) % 0.51/1.03 (assume @p435 (forall (@list @t11 @t110 @t1) (or (tptp.c_in @t540 @t11 @t1) @t539))) % 0.51/1.03 (assume @p436 (forall @t222 (or @t74 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t3 @t1) @t541 @t1))))) % 0.51/1.03 (assume @p437 (forall @t222 (or @t74 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t3 @t1) @t541 @t1))))) % 0.51/1.03 (assume @p438 (forall (@list @t71 @t1) (or (= @t71 (tptp.c_Pair @t542 @t542 @t1 @t1)) (not (tptp.c_in @t71 @t444 @t38))))) % 0.51/1.03 (assume @p439 (forall @t545 (or (tptp.c_in (tptp.c_Pair @t544 @t110 @t45 @t2) @t65 @t46) @t543))) % 0.51/1.03 (assume @p440 (forall @t545 (or (tptp.c_in (tptp.c_Pair @t5 @t544 @t1 @t45) @t3 @t48) @t543))) % 0.51/1.03 (assume @p441 (forall @t550 (or @t549 (tptp.c_in (tptp.c_Pair @t546 @t546 @t1 @t1) @t112 @t38)))) % 0.51/1.03 (assume @p442 (forall @t556 (or (tptp.c_in (tptp.c_Pair @t555 @t129 @t1 @t1) @t112 @t38) @t554 @t553))) % 0.51/1.03 (assume @p443 (forall @t530 (or (tptp.c_in (tptp.c_Pair @t10 @t531 @t1 @t1) @t23 @t38) @t528))) % 0.51/1.03 (assume @p444 (forall @t565 (or (tptp.c_in (tptp.c_Pair @t560 @t564 tptp.t_a tptp.t_a) @t558 @t557) @t563 @t562))) % 0.51/1.03 (assume @p445 (forall @t550 (or @t566 @t291))) % 0.51/1.03 (assume @p446 (forall @t570 (or (tptp.c_in (tptp.c_Pair @t569 @t7 @t1 @t1) @t3 @t38) @t226 @t568))) % 0.51/1.03 (assume @p447 (forall @t570 (or (tptp.c_in (tptp.c_Pair @t5 @t569 @t1 @t1) @t112 @t38) @t226 @t568))) % 0.51/1.03 (assume @p448 (forall @t532 (or (tptp.c_in (tptp.c_Pair @t529 @t12 @t1 @t1) @t23 @t38) @t528))) % 0.51/1.03 (assume @p449 (forall @t571 (or (tptp.c_in (tptp.c_Pair @t10 @t555 @t1 @t1) @t3 @t38) @t554 @t553))) % 0.51/1.03 (assume @p450 (forall @t565 (or (tptp.c_in (tptp.c_Pair @t564 @t559 tptp.t_a tptp.t_a) @t3 @t557) @t563 @t562))) % 0.51/1.03 (assume @p451 (forall @t573 (or @t78 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t356 @t1 @t1) @t3 @t38)) @t75))) % 0.51/1.03 (assume @p452 (forall (@list @t76 @t171 @t12 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t76 @t171)) @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t287 @t1 @t1) @t3 @t38)) @t75))) % 0.51/1.03 (assume @p453 (forall (@list @t76 @t574 @t12 @t23 @t1) (or (tptp.hBOOL (tptp.hAPP @t76 @t574)) @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t159 @t1 @t1) @t23 @t38)) @t158))) % 0.51/1.03 (assume @p454 (forall @t573 (or @t78 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t77 @t1 @t1) @t3 @t38)) @t75))) % 0.51/1.03 (assume @p455 (forall @t570 (or (tptp.c_in (tptp.c_Pair @t575 @t7 @t1 @t1) @t3 @t38) @t332 @t434))) % 0.51/1.03 (assume @p456 (forall @t556 (or (tptp.c_in (tptp.c_Pair @t578 @t129 @t1 @t1) @t238 @t38) @t577 @t576))) % 0.51/1.03 (assume @p457 (forall @t571 (or (tptp.c_in (tptp.c_Pair @t10 @t578 @t1 @t1) @t3 @t38) @t577 @t576))) % 0.51/1.03 (assume @p458 (forall @t439 (or @t78 (tptp.hBOOL (tptp.hAPP @t76 @t437)) @t436 @t434))) % 0.51/1.03 (assume @p459 (forall @t439 (or @t78 (tptp.c_in (tptp.c_Pair @t437 @t7 @t1 @t1) @t238 @t38) @t436 @t434))) % 0.51/1.03 (assume @p460 (forall @t443 (or @t435 (tptp.c_in (tptp.c_Pair @t5 @t442 @t1 @t1) @t238 @t38) @t440 @t434))) % 0.51/1.03 (assume @p461 (forall @t443 (or @t435 (not (tptp.hBOOL (tptp.hAPP @t76 @t441))) @t440 @t434))) % 0.51/1.03 (assume @p462 (forall @t565 (or (tptp.c_in (tptp.c_Pair @t560 @t582 tptp.t_a tptp.t_a) @t579 @t557) @t581 @t580))) % 0.51/1.03 (assume @p463 (forall @t443 (or @t435 (tptp.hBOOL (tptp.hAPP @t76 @t442)) @t440 @t434))) % 0.51/1.03 (assume @p464 (forall @t565 (or (tptp.c_in (tptp.c_Pair @t582 @t559 tptp.t_a tptp.t_a) @t3 @t557) @t581 @t580))) % 0.51/1.03 (assume @p465 (forall @t439 (or @t78 (not (tptp.hBOOL (tptp.hAPP @t76 @t438))) @t436 @t434))) % 0.51/1.03 (assume @p466 (forall @t570 (or (tptp.c_in (tptp.c_Pair @t5 @t575 @t1 @t1) @t238 @t38) @t332 @t434))) % 0.51/1.03 (assume @p467 (forall (@list @t11 @t25 @t110 @t1 @t2) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t11 @t25 @t110 @t1 @t2) @t11 @t1) (not (tptp.c_in @t110 @t583 @t6))))) % 0.51/1.03 (assume @p468 (forall @t460 (or (tptp.c_Wellfounded_OwfP (tptp.c_FunDef_Oin__rel @t23 @t1 @t1) @t1) @t158))) % 0.51/1.03 (assume @p469 (forall @t222 (tptp.c_Relation_Oirrefl @t461 @t1))) % 0.51/1.03 (assume @p470 (forall (@list @t3 @t1 @t10) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t289 @t238 @t39) @t40)) @t566))) % 0.51/1.03 (assume @p471 (forall @t231 (or (not @t455) @t226 @t445 @t162))) % 0.51/1.03 (assume @p472 (forall @t457 (or @t584 @t162 @t166 @t164 @t105))) % 0.51/1.03 (assume @p473 (forall @t457 (or @t456 @t167 @t164 @t105 @t162))) % 0.51/1.03 (assume @p474 (forall @t457 (or @t584 @t164 @t105 @t162 @t166))) % 0.51/1.03 (assume @p475 (forall (@list @t2 @t1 @t23) (= (tptp.c_Set_Oimage @t393 @t23 @t80 @t1) (tptp.c_Relation_ORange @t23 @t2 @t1)))) % 0.51/1.03 (assume @p476 (forall (@list @t5 @t11 @t1 @t7 @t3) (or @t310 @t332 @t306 @t434))) % 0.51/1.03 (assume @p477 (forall (@list @t1 @t2 @t23) (= (tptp.c_Set_Oimage @t66 @t23 @t6 @t1) (tptp.c_Relation_ODomain @t23 @t1 @t2)))) % 0.51/1.03 (assume @p478 (forall @t476 (or @t475 @t585 @t434))) % 0.51/1.03 (assume @p479 (forall @t587 (or @t586 @t528 @t293))) % 0.51/1.03 (assume @p480 (forall @t587 (or @t527 @t293 @t588))) % 0.51/1.03 (assume @p481 (forall (@list @t5 @t7 @t1 @t23) (or (tptp.c_in @t225 @t526 @t38) @t332 (not (tptp.c_in @t225 @t61 @t38))))) % 0.51/1.03 (assume @p482 (forall @t432 (or @t591 (not @t589)))) % 0.51/1.03 (assume @p483 (forall @t430 (or @t589 (not @t591)))) % 0.51/1.03 (assume @p484 (forall (@list @t129 @t12 @t1 @t3 @t10) (or (tptp.c_in (tptp.c_Pair @t129 @t12 @t1 @t1) @t238 @t38) (tptp.c_in @t592 @t238 @t38) @t576 @t431 (not (tptp.c_Relation_Osingle__valued @t3 @t1 @t1))))) % 0.51/1.03 (assume @p485 (forall @t593 (or @t433 @t568))) % 0.51/1.03 (assume @p486 (forall @t476 (or @t475 @t473 @t568))) % 0.51/1.03 (assume @p487 (forall @t594 (or @t552 (not (tptp.c_in @t592 @t112 @t38)) @t431))) % 0.51/1.03 (assume @p488 (forall @t432 (or @t598 (not @t596)))) % 0.51/1.03 (assume @p489 (forall @t432 (or @t596 (not @t598)))) % 0.51/1.03 (assume @p490 (forall (@list @t55 @t2 @t45 @t1 @t5 @t7) (= (tptp.hAPP (tptp.c_split @t55 @t2 @t45 @t1) @t600) @t599))) % 0.51/1.03 (assume @p491 (forall (@list @t55 @t1 @t2 @t45 @t5 @t7) (= (tptp.hAPP @t601 @t8) @t599))) % 0.51/1.03 (assume @p492 (forall (@list @t23 @t5 @t7 @t110 @t1 @t2 @t45) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t23 @t5) @t7) @t110)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t23 @t1 @t2 @t249) @t8) @t110)))))) % 0.51/1.03 (assume @p493 (forall @t446 (or (tptp.c_in @t372 @t422 @t2) @t105))) % 0.51/1.03 (assume @p494 (forall (@list @t55 @t10 @t11 @t2 @t1) (or @t602 @t447))) % 0.51/1.03 (assume @p495 (forall @t423 (or @t447 @t602))) % 0.51/1.03 (assume @p496 (forall (@list @t10 @t11 @t603 @t55 @t1) (or (not (tptp.c_in @t10 @t11 @t603)) (tptp.c_in @t372 (tptp.c_Set_Oimage @t55 @t11 @t603 @t1) @t1)))) % 0.51/1.03 (assume @p497 (forall @t605 (or @t604 @t75))) % 0.51/1.03 (assume @p498 (forall @t141 (tptp.c_Relation_Osingle__valued @t140 @t1 @t1))) % 0.51/1.03 (assume @p499 (forall @t609 (or (tptp.c_in @t608 @t11 @t2) @t607))) % 0.51/1.03 (assume @p500 (forall @t222 (or (tptp.c_Relation_Osym @t112 @t1) @t233))) % 0.51/1.03 (assume @p501 (forall @t79 (or @t78 (not (tptp.hBOOL (tptp.hAPP @t76 @t612))) @t611))) % 0.51/1.03 (assume @p502 (forall @t222 (or (= @t112 @t3) @t279))) % 0.51/1.03 (assume @p503 (forall @t616 (or @t384 (not (tptp.hBOOL (tptp.hAPP @t76 @t615))) @t614))) % 0.51/1.03 (assume @p504 (forall @t79 (or @t78 (tptp.c_in @t617 @t541 @t1) @t611))) % 0.51/1.03 (assume @p505 (forall @t222 (or @t232 (not @t618)))) % 0.51/1.03 (assume @p506 (forall @t222 (or @t618 @t233))) % 0.51/1.03 (assume @p507 (forall @t222 (= (tptp.c_Relation_ODomain @t112 @t1 @t1) @t257))) % 0.51/1.03 (assume @p508 (forall @t609 (or (tptp.c_in @t619 @t11 @t2) @t607))) % 0.51/1.03 (assume @p509 (forall @t623 (or (not (tptp.c_in @t622 @t620 @t1)) @t621))) % 0.51/1.03 (assume @p510 (forall @t297 (tptp.c_Relation_Osym @t444 @t1))) % 0.51/1.03 (assume @p511 (forall @t141 (tptp.c_Relation_Otrans @t140 @t1))) % 0.51/1.03 (assume @p512 (forall (@list @t1 @t23 @t2) (= (tptp.c_Relation_Orel__comp @t444 @t23 @t1 @t1 @t2) @t23))) % 0.51/1.03 (assume @p513 (forall @t24 (= (tptp.c_Relation_Orel__comp @t23 (tptp.c_Relation_OId @t2) @t1 @t2 @t2) @t23))) % 0.51/1.03 (assume @p514 (forall @t141 (tptp.c_Relation_Oantisym @t140 @t1))) % 0.51/1.03 (assume @p515 (forall @t222 (or (tptp.c_Wellfounded_Owf @t597 @t1) (not (tptp.c_Wellfounded_Owf @t289 @t1))))) % 0.51/1.03 (assume @p516 (forall @t79 (or @t78 (not (tptp.hBOOL (tptp.hAPP @t76 @t617))) @t611))) % 0.51/1.03 (assume @p517 (forall @t337 (or @t142 (not @t624)))) % 0.51/1.03 (assume @p518 (forall @t337 (or @t624 @t143))) % 0.51/1.03 (assume @p519 (forall @t222 (or (tptp.c_Relation_Osym @t238 @t1) @t233))) % 0.51/1.03 (assume @p520 (forall @t460 (or @t625 @t158))) % 0.51/1.03 (assume @p521 (forall @t460 (or @t157 (not @t625)))) % 0.51/1.03 (assume @p522 (forall @t42 (= (tptp.c_Relation_OImage @t444 @t11 @t1 @t1) @t11))) % 0.51/1.03 (assume @p523 (forall @t297 (tptp.c_Relation_Osingle__valued @t444 @t1 @t1))) % 0.51/1.03 (assume @p524 (forall @t141 (= (tptp.c_Relation_ODomain @t140 @t1 @t1) @t11))) % 0.51/1.03 (assume @p525 (forall @t222 (or @t626 @t233))) % 0.51/1.03 (assume @p526 (forall @t222 (or (not @t626) @t232))) % 0.51/1.03 (assume @p527 (forall @t222 (= (tptp.c_Relation_ORange @t112 @t1 @t1) (tptp.c_Relation_ORange @t3 @t1 @t1)))) % 0.51/1.03 (assume @p528 (forall @t222 (tptp.c_Relation_Otrans @t112 @t1))) % 0.51/1.03 (assume @p529 (forall (@list @t3 @t65 @t2 @t45 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t3 @t65 @t2 @t45 @t1) @t2 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t65 @t45 @t1) (tptp.c_Relation_Oconverse @t3 @t2 @t45) @t1 @t45 @t2)))) % 0.51/1.03 (assume @p530 (forall @t141 (tptp.c_Relation_Osym @t140 @t1))) % 0.51/1.03 (assume @p531 (forall @t141 (tptp.c_Relation_Orefl__on @t11 @t140 @t1))) % 0.51/1.03 (assume @p532 (forall @t628 (or (tptp.c_Wellfounded_Owf @t627 @t2) @t75))) % 0.51/1.03 (assume @p533 (forall @t222 (= @t629 @t537))) % 0.51/1.03 (assume @p534 (forall @t628 (or (tptp.c_Relation_Osym @t627 @t2) @t233))) % 0.51/1.03 (assume @p535 (forall @t460 (= (tptp.c_Transitive__Closure_Otrancl @t61 @t1) @t61))) % 0.51/1.03 (assume @p536 (forall @t222 (tptp.c_Relation_Otrans @t238 @t1))) % 0.51/1.03 (assume @p537 (forall @t222 (or @t278 (not @t630)))) % 0.51/1.03 (assume @p538 (forall @t222 (or @t630 @t279))) % 0.51/1.03 (assume @p539 (forall @t297 (= (tptp.c_Relation_Oconverse @t444 @t1 @t1) @t444))) % 0.51/1.03 (assume @p540 (forall @t222 (or (tptp.c_Wellfounded_Owf @t112 @t1) @t75))) % 0.51/1.03 (assume @p541 (forall (@list @t23 @t57 @t1 @t631 @t45 @t342 @t2) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t23 @t57 @t1 @t631 @t45) @t342 @t1 @t45 @t2) (tptp.c_Relation_Orel__comp @t23 (tptp.c_Relation_Orel__comp @t57 @t342 @t631 @t45 @t2) @t1 @t631 @t2)))) % 0.51/1.03 (assume @p542 (forall (@list @t23 @t55 @t2 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t23 @t55 @t2 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t23 @t2 @t2) @t55 @t2 @t1)))) % 0.51/1.03 (assume @p543 (forall @t222 (= @t595 @t597))) % 0.51/1.03 (assume @p544 (forall @t628 (or (tptp.c_Relation_Otrans @t627 @t2) @t279))) % 0.51/1.03 (assume @p545 (forall @t141 (= (tptp.c_Relation_Oconverse @t140 @t1 @t1) @t140))) % 0.51/1.03 (assume @p546 (forall @t222 (or (not @t632) (tptp.c_Equiv__Relations_Oequiv @t257 @t3 @t1)))) % 0.51/1.03 (assume @p547 (forall @t297 (tptp.c_Relation_Oantisym @t444 @t1))) % 0.51/1.03 (assume @p548 (forall @t354 (= (tptp.c_Relation_ORange @t633 @t2 @t1) @t4))) % 0.51/1.03 (assume @p549 (forall (@list @t161 @t3 @t1 @t171) (or (tptp.c_in @t635 @t161 @t1) @t634 @t75))) % 0.51/1.03 (assume @p550 (forall @t141 (= (tptp.c_Relation_ORange @t140 @t1 @t1) @t11))) % 0.51/1.03 (assume @p551 (forall (@list @t3 @t65 @t1 @t2 @t45) (or (tptp.c_Relation_Osingle__valued @t152 @t1 @t45) (not (tptp.c_Relation_Osingle__valued @t65 @t2 @t45)) @t636))) % 0.51/1.03 (assume @p552 (forall @t354 (= (tptp.c_Relation_Oconverse @t633 @t2 @t1) @t3))) % 0.51/1.03 (assume @p553 (forall @t297 (tptp.c_Relation_Otrans @t444 @t1))) % 0.51/1.03 (assume @p554 (forall @t307 (or @t632 @t162))) % 0.51/1.03 (assume @p555 (forall @t460 (= (tptp.c_Relation_Orel__comp @t61 @t61 @t1 @t1 @t1) @t61))) % 0.51/1.03 (assume @p556 (forall @t222 (or @t409 (not @t637)))) % 0.51/1.03 (assume @p557 (forall @t222 (or @t637 @t469))) % 0.51/1.03 (assume @p558 (forall @t616 (or @t384 (not (tptp.hBOOL (tptp.hAPP @t76 @t638))) @t614))) % 0.51/1.03 (assume @p559 (forall @t337 (or @t142 @t162))) % 0.51/1.03 (assume @p560 (forall @t222 (= @t590 (tptp.c_Relation_Oconverse @t238 @t1 @t1)))) % 0.51/1.03 (assume @p561 (forall (@list @t161 @t23 @t1 @t10) (or (tptp.c_in @t640 @t161 @t1) @t639 @t158))) % 0.51/1.03 (assume @p562 (forall @t307 (or @t232 @t162))) % 0.51/1.03 (assume @p563 (forall @t605 (or @t604 (not (tptp.c_in @t641 @t541 @t1))))) % 0.51/1.03 (assume @p564 (forall (@list @t643 @t55 @t5 @t2 @t45 @t11 @t1 @t642) (or (tptp.c_Equiv__Relations_Ocongruent @t643 @t313 @t2 @t45) @t311 @t644 (not (tptp.c_Equiv__Relations_Oequiv @t11 @t642 @t1))))) % 0.51/1.03 (assume @p565 (forall @t646 (or (tptp.c_in @t645 tptp.c_Arrow__Order__Mirabelle_OLin @t463) @t465))) % 0.51/1.03 (assume @p566 (forall @t646 (or (tptp.c_in @t647 tptp.c_Arrow__Order__Mirabelle_OLin @t463) @t465))) % 0.51/1.03 (assume @p567 (forall @t649 (or (tptp.c_in @t648 tptp.c_Arrow__Order__Mirabelle_OLin @t463) @t332))) % 0.51/1.03 (assume @p568 (forall @t425 (= @t650 @t359))) % 0.51/1.03 (assume @p569 (forall @t222 (= @t112 @t537))) % 0.51/1.03 (assume @p570 (forall @t222 (= @t112 @t629))) % 0.51/1.03 (assume @p571 (forall @t425 (= @t359 @t650))) % 0.51/1.03 (assume @p572 (forall @t337 (or @t336 (not @t651)))) % 0.51/1.03 (assume @p573 (forall @t337 (or @t651 @t471))) % 0.51/1.03 (assume @p574 (forall @t307 (or @t278 @t162))) % 0.51/1.03 (assume @p575 (forall @t79 (or @t78 (tptp.c_in @t612 @t541 @t1) @t611))) % 0.51/1.03 (assume @p576 (forall @t460 (= (tptp.c_Transitive__Closure_Ortrancl @t526 @t1) @t61))) % 0.51/1.03 (assume @p577 (forall @t222 (= (tptp.c_Transitive__Closure_Ortrancl @t238 @t1) @t238))) % 0.51/1.03 (assume @p578 (forall (@list @t12 @t10 @t464) (or @t479 @t481 @t293 @t465))) % 0.51/1.03 (assume @p579 @t653) % 0.51/1.03 (assume @p580 (forall @t609 (or (tptp.c_in (tptp.c_Pair @t608 @t7 @t2 @t1) @t3 @t80) @t607))) % 0.51/1.03 (assume @p581 (forall @t623 (or (tptp.c_in (tptp.c_Pair @t622 @t10 @t1 @t1) @t23 @t38) @t621))) % 0.51/1.03 (assume @p582 (forall @t573 (or @t78 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t617 @t1 @t1) @t3 @t38)) @t611))) % 0.51/1.03 (assume @p583 (forall @t654 (or @t384 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t638 tptp.t_a tptp.t_a) @t3 @t557)) @t614))) % 0.51/1.03 (assume @p584 (forall (@list @t12 @t161 @t1 @t23 @t10) (or @t655 (not (tptp.c_in (tptp.c_Pair @t12 @t640 @t1 @t1) @t23 @t38)) @t639 @t158))) % 0.51/1.03 (assume @p585 (forall (@list @t7 @t3 @t1 @t2) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t7 @t3 @t1 @t2) @t7 @t2 @t1) @t3 @t80) (not (tptp.c_in @t7 @t359 @t1))))) % 0.51/1.03 (assume @p586 (forall @t605 (or @t604 (tptp.c_in (tptp.c_Pair @t641 @t10 @t1 @t1) @t3 @t38)))) % 0.51/1.03 (assume @p587 (forall @t659 (or @t658 @t611 @t657))) % 0.51/1.03 (assume @p588 (forall @t659 (or @t658 @t657 @t611))) % 0.51/1.03 (assume @p589 (forall @t662 (or @t384 @t661 (not (tptp.c_in (tptp.c_Pair @t660 @t615 tptp.t_a tptp.t_a) @t3 @t557)) @t614))) % 0.51/1.03 (assume @p590 (forall (@list @t10 @t23 @t1) (or @t664 @t663))) % 0.51/1.03 (assume @p591 (forall @t654 (or @t384 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t615 tptp.t_a tptp.t_a) @t3 @t557)) @t614))) % 0.51/1.03 (assume @p592 (forall (@list @t55 @t5 @t7 @t1 @t2 @t45 @t11) (or (tptp.c_in @t599 (tptp.c_Set_Oimage @t601 @t11 @t6 @t45) @t45) (not (tptp.c_in @t8 @t11 @t6))))) % 0.51/1.03 (assume @p593 (forall @t667 (or (tptp.c_in (tptp.c_Pair @t5 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t5 @t3 @t1 @t2) @t1 @t2) @t3 @t6) @t666))) % 0.51/1.03 (assume @p594 (forall @t662 (or @t384 @t661 (not (tptp.c_in (tptp.c_Pair @t660 @t638 tptp.t_a tptp.t_a) @t3 @t557)) @t614))) % 0.51/1.03 (assume @p595 (forall @t573 (or @t78 @t572 (not (tptp.c_in (tptp.c_Pair @t12 @t612 @t1 @t1) @t3 @t38)) @t611))) % 0.51/1.03 (assume @p596 (forall (@list @t12 @t161 @t1 @t3 @t171) (or @t655 (not (tptp.c_in (tptp.c_Pair @t12 @t635 @t1 @t1) @t3 @t38)) @t634 @t75))) % 0.51/1.03 (assume @p597 (forall @t667 (or (tptp.c_in (tptp.c_Pair @t5 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t5 @t3 @t1 @t2) @t1 @t2) @t3 @t6) @t666))) % 0.51/1.03 (assume @p598 (forall @t609 (or (tptp.c_in (tptp.c_Pair @t619 @t7 @t2 @t1) @t3 @t80) @t607))) % 0.51/1.03 (assume @p599 (forall @t587 (or @t293 @t588 @t664))) % 0.51/1.03 (assume @p600 (forall @t667 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t5 @t3 @t1 @t2) @t5 @t2 @t1) @t3 @t80) (not @t668)))) % 0.51/1.03 (assume @p601 (forall (@list @t129 @t110 @t2 @t45 @t1 @t5 @t7) (or (tptp.c_in @t129 (tptp.hAPP (tptp.c_split @t110 @t2 @t45 @t19) @t600) @t1) (not (tptp.c_in @t129 (tptp.hAPP (tptp.hAPP @t110 @t5) @t7) @t1))))) % 0.51/1.03 (assume @p602 (forall (@list @t55 @t670 @t673 @t669 @t672 @t2 @t643 @t1 @t642 @t45) (or (= (tptp.hAPP (tptp.hAPP @t55 @t670) @t673) (tptp.hAPP (tptp.hAPP @t55 @t669) @t672)) (not (tptp.c_in (tptp.c_Pair @t673 @t672 @t2 @t2) @t643 @t671)) (not (tptp.c_in (tptp.c_Pair @t670 @t669 @t1 @t1) @t642 @t38)) @t644))) % 0.51/1.03 (assume @p603 (forall (@list @t12 @t129 @t10 @t1 @t2 @t3) (or @t674 (not (tptp.c_in (tptp.c_Pair @t10 @t129 @t1 @t2) @t3 @t6)) (not (tptp.c_in @t392 @t3 @t6)) @t636))) % 0.51/1.03 (assume @p604 (forall (@list @t55 @t23 @t5 @t1 @t2 @t10) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t55 @t23 @t5 @t1 @t2) @t10) @t372) (not (tptp.c_in @t675 @t23 @t38))))) % 0.51/1.03 (assume @p605 (forall (@list @t55 @t3 @t5 @t1 @t2 @t10) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t55 @t3 @t5 @t1 @t2) @t10) @t372) @t676))) % 0.51/1.03 (assume @p606 (forall (@list @t23 @t1 @t2 @t10 @t12) (or @t678 (not @t677)))) % 0.51/1.03 (assume @p607 (forall (@list @t10 @t12 @t1 @t2 @t23) (or @t677 (not @t678)))) % 0.51/1.03 (assume @p608 (forall @t594 (or @t554 @t679 @t167 @t279))) % 0.51/1.03 (assume @p609 (forall @t476 (or (tptp.c_in @t474 @t3 @t38) @t585 @t227 @t279))) % 0.51/1.03 (assume @p610 (forall @t9 (or @t682 (not @t681)))) % 0.51/1.03 (assume @p611 (forall @t684 (or (tptp.c_in @t680 @t633 @t80) @t683))) % 0.51/1.03 (assume @p612 (forall @t684 (or @t681 (not @t682)))) % 0.51/1.03 (assume @p613 (forall @t550 (or @t549 @t533))) % 0.51/1.03 (assume @p614 (forall @t476 (or @t475 @t585 @t568))) % 0.51/1.03 (assume @p615 (forall @t476 (or @t475 @t685 @t227))) % 0.51/1.03 (assume @p616 (forall @t476 (or @t686 @t585 @t434))) % 0.51/1.03 (assume @p617 (forall @t476 (or @t686 @t473 @t227))) % 0.51/1.03 (assume @p618 (forall @t593 (or @t567 @t227))) % 0.51/1.03 (assume @p619 (forall @t476 (or @t686 @t473 @t434))) % 0.51/1.03 (assume @p620 (forall @t688 (tptp.c_in @t687 @t238 @t38))) % 0.51/1.03 (assume @p621 (forall (@list @t10 @t1 @t23) @t663)) % 0.51/1.03 (assume @p622 (forall (@list @t10 @t5 @t1 @t3) (or @t676 (not (tptp.c_in (tptp.c_Pair @t5 @t10 @t1 @t1) @t3 @t38)) @t75))) % 0.51/1.03 (assume @p623 (forall @t432 (or @t293 @t690 @t167 @t469))) % 0.51/1.03 (assume @p624 (forall @t593 (or @t332 (not @t691) @t227 @t469))) % 0.51/1.03 (assume @p625 (forall (@list @t55 @t12 @t129 @t1 @t3 @t2) (or (= @t692 (tptp.hAPP @t55 @t129)) @t679 (not (tptp.c_Equiv__Relations_Ocongruent @t3 @t55 @t1 @t2))))) % 0.51/1.03 (assume @p626 (forall (@list @t10 @t12 @t1 @t11) (or @t293 @t693))) % 0.51/1.03 (assume @p627 (forall (@list @t55 @t3 @t10 @t1 @t2 @t364 @t12) (or (not @t365) (= @t692 (tptp.hAPP @t364 @t12)) @t690))) % 0.51/1.03 (assume @p628 (forall (@list @t5 @t7 @t1) (or @t332 (not (tptp.c_in @t225 @t444 @t38))))) % 0.51/1.03 (assume @p629 (forall @t550 (or @t548 (not @t535)))) % 0.51/1.03 (assume @p630 (forall @t688 (or (not @t694) @t75))) % 0.51/1.03 (assume @p631 (forall (@list @t10 @t12 @t1 @t3 @t55 @t2) (or @t696 (not @t695)))) % 0.51/1.03 (assume @p632 (forall (@list @t55 @t10 @t12 @t2 @t3 @t1) (or @t695 (not @t696)))) % 0.51/1.03 (assume @p633 (forall @t430 (or @t689 @t167 @t233))) % 0.51/1.03 (assume @p634 (forall (@list @t7 @t5 @t1 @t3) (or @t691 @t227 @t233))) % 0.51/1.03 (assume @p635 (forall (@list @t5 @t110 @t1 @t45 @t3 @t65 @t2 @t7) (or (tptp.c_in (tptp.c_Pair @t5 @t110 @t1 @t45) @t152 @t48) (not (tptp.c_in (tptp.c_Pair @t7 @t110 @t2 @t45) @t65 @t149)) @t683))) % 0.51/1.03 (assume @p636 (forall (@list @t5 @t110 @t1 @t23 @t7) (or (tptp.c_in @t474 @t526 @t38) (not (tptp.c_in @t472 @t23 @t38)) (not (tptp.c_in @t225 @t23 @t38))))) % 0.51/1.03 (assume @p637 (forall @t476 (or @t475 @t685 @t568))) % 0.51/1.03 (assume @p638 (forall @t383 (tptp.c_in @t547 @t444 @t38))) % 0.51/1.03 (assume @p639 (forall @t386 (tptp.c_in @t687 @t444 @t38))) % 0.51/1.03 (assume @p640 (forall @t698 (or @t697 @t482 @t293 @t577))) % 0.51/1.03 (assume @p641 (forall @t698 (or @t697 @t482 @t674 @t577))) % 0.51/1.03 (assume @p642 (forall @t699 (not (tptp.c_in @t487 @t647 @t462)))) % 0.51/1.03 (assume @p643 (forall @t483 (not (tptp.c_in @t480 @t647 @t462)))) % 0.51/1.03 (assume @p644 (forall @t698 (or @t481 @t674 (not @t697)))) % 0.51/1.03 (assume @p645 (forall @t483 (or @t293 @t15 (tptp.c_in @t480 @t645 @t462)))) % 0.51/1.03 (assume @p646 (forall @t699 (not (tptp.c_in @t487 @t645 @t462)))) % 0.51/1.03 (assume @p647 (forall @t520 (not (tptp.c_in @t490 @t645 @t462)))) % 0.51/1.03 (assume @p648 (forall @t698 (or @t700 @t482 @t293 @t674))) % 0.51/1.03 (assume @p649 (forall @t698 (or @t700 @t482 @t577 @t674))) % 0.51/1.03 (assume @p650 (forall @t520 (or @t493 @t493 (tptp.c_in @t490 @t647 @t462)))) % 0.51/1.03 (assume @p651 (forall @t698 (or @t481 @t577 (not @t700)))) % 0.51/1.03 (assume @p652 (forall @t649 (or (tptp.c_in @t652 @t648 @t462) @t332))) % 0.51/1.03 (assume @p653 (forall (@list @t5 @t7 @t1 @t2 @t11 @t25) (or @t702 (not @t701) @t311))) % 0.51/1.03 (assume @p654 (forall (@list @t5 @t3 @t1 @t7) (or @t610 @t227 (not @t658)))) % 0.51/1.03 (assume @p655 (forall (@list @t12 @t3 @t1 @t5) (or (tptp.c_in @t12 @t541 @t1) (not (tptp.c_in (tptp.c_Pair @t12 @t5 @t1 @t1) @t3 @t38)) @t611))) % 0.51/1.03 (assume @p656 (forall (@list @t7 @t3 @t11 @t1 @t2 @t5) (or (tptp.c_in @t7 @t427 @t2) @t683 @t311))) % 0.51/1.03 (assume @p657 (forall (@list @t7 @t3 @t11 @t2 @t1 @t10) (or @t606 (not (tptp.c_in (tptp.c_Pair @t10 @t7 @t2 @t1) @t3 @t80)) @t447))) % 0.51/1.03 (assume @p658 (forall (@list @t10 @t11 @t1 @t12) (or @t104 @t693))) % 0.51/1.03 (assume @p659 (forall (@list @t10 @t1 @t11) (or (tptp.c_in @t547 @t140 @t38) @t105))) % 0.51/1.03 (assume @p660 (forall @t703 (or @t163 @t167 @t162))) % 0.51/1.03 (assume @p661 (forall @t704 (or @t104 @t167 @t162))) % 0.51/1.03 (assume @p662 (forall (@list @t5 @t3 @t2 @t1 @t10) (or @t668 (not (tptp.c_in (tptp.c_Pair @t10 @t5 @t2 @t1) @t3 @t80))))) % 0.51/1.03 (assume @p663 (forall (@list @t7 @t3 @t1 @t2 @t5) (or (tptp.c_in @t7 (tptp.c_Relation_ORange @t3 @t1 @t2) @t2) @t683))) % 0.51/1.03 (assume @p664 (forall (@list @t5 @t3 @t1 @t2 @t10) (or @t665 (not (tptp.c_in (tptp.c_Pair @t5 @t10 @t1 @t2) @t3 @t6))))) % 0.51/1.03 (assume @p665 (forall (@list @t5 @t3 @t1 @t2 @t7) (or @t665 @t683))) % 0.51/1.03 (assume @p666 (forall (@list @t7 @t25 @t5 @t2 @t1 @t11) (or @t701 @t705))) % 0.51/1.03 (assume @p667 (forall (@list @t5 @t11 @t1 @t7 @t2 @t25) (or @t310 @t705))) % 0.51/1.03 (assume @p668 (forall (@list @t171 @t10 @t1 @t3 @t11) (or (tptp.c_in (tptp.c_Pair @t171 @t10 @t1 @t1) @t3 @t38) (tptp.c_in (tptp.c_Pair @t10 @t171 @t1 @t1) @t3 @t38) @t519 (not (tptp.c_in @t171 @t11 @t1)) @t105 @t471))) % 0.51/1.03 (assume @p669 (forall (@list @t10 @t1 @t3 @t11) (or @t548 @t105 @t143))) % 0.51/1.03 (assume @p670 (forall @t703 (or @t163 @t167 @t143))) % 0.51/1.03 (assume @p671 (forall @t704 (or @t104 @t167 @t143))) % 0.51/1.03 (assume @p672 (forall (@list @t5 @t1 @t3 @t11) (or @t694 @t311 @t143))) % 0.51/1.03 (assume @p673 (forall @t709 (or @t708 (= @t7 @t706)))) % 0.51/1.03 (assume @p674 (forall @t709 (or @t708 (= @t5 @t707)))) % 0.51/1.03 (assume @p675 (forall (@list @t10 @t57 @t1) (or @t711 (not @t710)))) % 0.51/1.03 (assume @p676 (forall (@list @t57 @t10 @t1) (or @t710 (not @t711)))) % 0.51/1.03 (assume @p677 @t712) % 0.51/1.03 (assume @p678 @t713) % 0.51/1.03 (assume @p679 @t714) % 0.51/1.03 (assume @p680 (forall @t719 (or (tptp.class_Lattices_Oupper__semilattice @t718) @t716))) % 0.51/1.03 (assume @p681 (forall @t719 (or (tptp.class_Lattices_Olower__semilattice @t718) @t716))) % 0.51/1.03 (assume @p682 (forall @t719 (or (tptp.class_Lattices_Odistrib__lattice @t718) (not (tptp.class_Lattices_Odistrib__lattice @t715))))) % 0.51/1.03 (assume @p683 (forall @t719 (or (tptp.class_Lattices_Obounded__lattice @t718) (not (tptp.class_Lattices_Obounded__lattice @t715))))) % 0.51/1.03 (assume @p684 (forall @t719 (or (tptp.class_Orderings_Opreorder @t718) (not (tptp.class_Orderings_Opreorder @t715))))) % 0.51/1.03 (assume @p685 (forall @t719 (or (tptp.class_Lattices_Olattice @t718) @t716))) % 0.51/1.03 (assume @p686 (forall @t719 (or (tptp.class_Orderings_Oorder @t718) (not (tptp.class_Orderings_Oorder @t715))))) % 0.51/1.03 (assume @p687 (forall @t719 (or (tptp.class_Orderings_Obot @t718) (not (tptp.class_Orderings_Obot @t715))))) % 0.51/1.03 (assume @p688 (forall @t719 (or (tptp.class_HOL_Oord @t718) (not (tptp.class_HOL_Oord @t715))))) % 0.51/1.03 (assume @p689 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.51/1.03 (assume @p690 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.51/1.03 (assume @p691 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.51/1.03 (assume @p692 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.51/1.03 (assume @p693 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.51/1.03 (assume @p694 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.51/1.03 (assume @p695 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.51/1.03 (assume @p696 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.51/1.03 (assume @p697 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.51/1.03 (assume @p698 (forall @t383 (tptp.c_fequal @t10 @t10 @t1))) % 0.51/1.03 (assume @p699 (forall (@list @t413 @t415 @t1) (or @t417 (not (tptp.c_fequal @t413 @t415 @t1))))) % 0.51/1.03 (step @p700 :rule cnf_or_pos :args (@t723)) % 0.51/1.03 (step @p701 :rule reordering :premises (@p700) :args ((or @t720 @t722 @t721 @t724))) % 0.51/1.03 (step @p702 :rule chain_m_resolution :premises (@p701 @p677 @p678 @p679) :args (@t724 (@list false false false) (@list @t712 @t713 @t714))) % 0.51/1.03 (assume-push @p709 @t653) % 0.51/1.03 (step @p704 :rule instantiate :premises (@p579) :args ((@list tptp.v_a____ tptp.v_b____ tptp.v_Lab____))) % 0.51/1.03 (step-pop @p710 :rule scope :premises (@p704)) % 0.51/1.03 (step @p705 :rule process_scope :premises (@p710) :args (@t723)) % 0.51/1.03 (step @p707 :rule implies_elim :premises (@p705)) % 0.51/1.03 (step @p708 false :rule chain_m_resolution :premises (@p707 @p702 @p579) :args (false (@list true false) (@list @t723 @t653))) % 0.51/1.03 ) % 0.51/1.03 % SZS output end Proof % 0.51/1.03 % cvc5 exiting %------------------------------------------------------------------------------