%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT061-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:46:14 AM UTC 2026 % Result : Unsatisfiable 0.51s 0.86s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT061-1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:23:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.68 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.86 % SZS status Unsatisfiable % 0.51/0.86 % SZS output start Proof % 0.51/0.89 ( % 0.51/0.89 (declare-sort $$unsorted 0) % 0.51/0.89 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_P____ $$unsorted) % 0.51/0.89 (declare-const tptp.v_b____ $$unsorted) % 0.51/0.89 (declare-const tptp.v_sko__local__X1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_c____ $$unsorted) % 0.51/0.89 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_F $$unsorted) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__5 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__local__X2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.51/0.89 (declare-const tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.t_b $$unsorted) % 0.51/0.89 (declare-const tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_r $$unsorted) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.t_a $$unsorted) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.tc_bool $$unsorted) % 0.51/0.89 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_sko__local__X3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__4 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_P_H____ $$unsorted) % 0.51/0.89 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_a____ $$unsorted) % 0.51/0.89 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.51/0.89 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.51/0.89 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.89 (define @t1 () (@var "T_a" $$unsorted)) % 0.51/0.89 (define @t2 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.51/0.89 (define @t3 () (@var "V_C" $$unsorted)) % 0.51/0.89 (define @t4 () (@var "V_B" $$unsorted)) % 0.51/0.89 (define @t5 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t2)) % 0.51/0.89 (define @t6 () (@var "V_A" $$unsorted)) % 0.51/0.89 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t5 @t2)) % 0.51/0.89 (define @t8 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t2)) % 0.51/0.89 (define @t9 () (@list @t6 @t4 @t1 @t3)) % 0.51/0.89 (define @t10 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t3 @t2)) % 0.51/0.89 (define @t11 () (@list @t6 @t4 @t3 @t1)) % 0.51/0.89 (define @t12 () (@var "T_b" $$unsorted)) % 0.51/0.89 (define @t13 () (tptp.tc_prod @t1 @t12)) % 0.51/0.89 (define @t14 () (tptp.tc_fun @t13 tptp.tc_bool)) % 0.51/0.89 (define @t15 () (tptp.tc_fun @t12 tptp.tc_bool)) % 0.51/0.89 (define @t16 () (tptp.c_COMBK @t4 @t15 @t1)) % 0.51/0.89 (define @t17 () (@var "V_r" $$unsorted)) % 0.51/0.89 (define @t18 () (not (tptp.c_lessequals @t17 (tptp.c_Product__Type_OSigma @t6 @t16 @t1 @t12) @t14))) % 0.51/0.89 (define @t19 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.51/0.89 (define @t20 () (@var "V_xa" $$unsorted)) % 0.51/0.89 (define @t21 () (@var "V_x" $$unsorted)) % 0.51/0.89 (define @t22 () (tptp.c_Set_Oinsert @t21 @t19 @t1)) % 0.51/0.89 (define @t23 () (tptp.c_Relation_OId @t1)) % 0.51/0.89 (define @t24 () (@list @t1)) % 0.51/0.89 (define @t25 () (@var "V_P" $$unsorted)) % 0.51/0.89 (define @t26 () (@var "V_Q" $$unsorted)) % 0.51/0.89 (define @t27 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 0.51/0.89 (define @t28 () (@var "V_R" $$unsorted)) % 0.51/0.89 (define @t29 () (tptp.c_Wellfounded_Owf @t28 @t1)) % 0.51/0.89 (define @t30 () (not @t29)) % 0.51/0.89 (define @t31 () (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t25 @t28 @t1)) % 0.51/0.89 (define @t32 () (@var "V_Rb" $$unsorted)) % 0.51/0.89 (define @t33 () (tptp.c_Relation_OImage @t28 @t4 @t12 @t1)) % 0.51/0.89 (define @t34 () (tptp.c_Relation_OImage @t28 @t6 @t12 @t1)) % 0.51/0.89 (define @t35 () (@list @t28 @t6 @t4 @t12 @t1)) % 0.51/0.89 (define @t36 () (@var "V_S" $$unsorted)) % 0.51/0.89 (define @t37 () (tptp.tc_prod @t12 @t1)) % 0.51/0.89 (define @t38 () (tptp.tc_fun @t37 tptp.tc_bool)) % 0.51/0.89 (define @t39 () (@var "V_r_H" $$unsorted)) % 0.51/0.89 (define @t40 () (not (tptp.c_lessequals @t39 @t17 @t14))) % 0.51/0.89 (define @t41 () (@var "T_c" $$unsorted)) % 0.51/0.89 (define @t42 () (tptp.tc_prod @t12 @t41)) % 0.51/0.89 (define @t43 () (tptp.tc_fun @t42 tptp.tc_bool)) % 0.51/0.89 (define @t44 () (@var "V_s" $$unsorted)) % 0.51/0.89 (define @t45 () (@var "V_s_H" $$unsorted)) % 0.51/0.89 (define @t46 () (tptp.tc_prod @t1 @t41)) % 0.51/0.89 (define @t47 () (tptp.tc_fun @t46 tptp.tc_bool)) % 0.51/0.89 (define @t48 () (tptp.c_Relation_Orel__comp @t17 @t44 @t1 @t12 @t41)) % 0.51/0.89 (define @t49 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.51/0.89 (define @t50 () (@list @t1 @t21)) % 0.51/0.89 (define @t51 () (@list @t6 @t1)) % 0.51/0.89 (define @t52 () (tptp.c_Relation_Orefl__on @t6 @t17 @t1)) % 0.51/0.89 (define @t53 () (not @t52)) % 0.51/0.89 (define @t54 () (tptp.tc_prod @t1 @t1)) % 0.51/0.89 (define @t55 () (tptp.tc_fun @t54 tptp.tc_bool)) % 0.51/0.89 (define @t56 () (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t6 @t2 @t1) @t1 @t1)) % 0.51/0.89 (define @t57 () (tptp.c_lessequals @t17 @t56 @t55)) % 0.51/0.89 (define @t58 () (@list @t17 @t6 @t1)) % 0.51/0.89 (define @t59 () (tptp.c_Relation_OId__on @t6 @t1)) % 0.51/0.89 (define @t60 () (@var "V_z" $$unsorted)) % 0.51/0.89 (define @t61 () (@var "V_y" $$unsorted)) % 0.51/0.89 (define @t62 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t21 @t1)) % 0.51/0.89 (define @t63 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t60 @t1)) % 0.51/0.89 (define @t64 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.51/0.89 (define @t65 () (@list @t1 @t61 @t60 @t21)) % 0.51/0.89 (define @t66 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t60 @t1)) % 0.51/0.89 (define @t67 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t61 @t1)) % 0.51/0.89 (define @t68 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t67 @t66 @t1)) % 0.51/0.89 (define @t69 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t63 @t1)) % 0.51/0.89 (define @t70 () (@list @t1 @t21 @t61 @t60)) % 0.51/0.89 (define @t71 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t2)) % 0.51/0.89 (define @t72 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t2)) % 0.51/0.89 (define @t73 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t5 @t2)) % 0.51/0.89 (define @t74 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t2)) % 0.51/0.89 (define @t75 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t6 @t2)) % 0.51/0.89 (define @t76 () (@list @t4 @t3 @t1 @t6)) % 0.51/0.89 (define @t77 () (@var "V_a" $$unsorted)) % 0.51/0.89 (define @t78 () (tptp.c_Set_Oinsert @t77 @t19 @t1)) % 0.51/0.89 (define @t79 () (@var "V_b" $$unsorted)) % 0.51/0.89 (define @t80 () (@var "V_J" $$unsorted)) % 0.51/0.89 (define @t81 () (tptp.c_Product__Type_OSigma @t80 @t3 @t1 @t12)) % 0.51/0.89 (define @t82 () (@var "V_I" $$unsorted)) % 0.51/0.89 (define @t83 () (tptp.c_Product__Type_OSigma @t82 @t3 @t1 @t12)) % 0.51/0.89 (define @t84 () (@list @t82 @t80 @t1 @t3 @t12)) % 0.51/0.89 (define @t85 () (not (tptp.c_lessequals @t17 @t44 @t55))) % 0.51/0.89 (define @t86 () (tptp.c_Transitive__Closure_Otrancl @t17 @t1)) % 0.51/0.89 (define @t87 () (@list @t17 @t1 @t44)) % 0.51/0.89 (define @t88 () (not (tptp.c_in @t21 @t3 @t1))) % 0.51/0.89 (define @t89 () (tptp.c_COMBK @t3 @t2 @t12)) % 0.51/0.89 (define @t90 () (tptp.c_Product__Type_OSigma @t4 @t89 @t12 @t1)) % 0.51/0.89 (define @t91 () (tptp.c_Product__Type_OSigma @t6 @t89 @t12 @t1)) % 0.51/0.89 (define @t92 () (tptp.c_lessequals @t91 @t90 @t38)) % 0.51/0.89 (define @t93 () (tptp.c_lessequals @t6 @t4 @t15)) % 0.51/0.89 (define @t94 () (@list @t6 @t3 @t1 @t12 @t4 @t21)) % 0.51/0.89 (define @t95 () (tptp.c_Set_Oinsert @t21 @t6 @t1)) % 0.51/0.89 (define @t96 () (tptp.c_lessequals @t95 @t4 @t2)) % 0.51/0.89 (define @t97 () (not @t96)) % 0.51/0.89 (define @t98 () (tptp.c_lessequals @t6 @t4 @t2)) % 0.51/0.89 (define @t99 () (@list @t6 @t4 @t1 @t21)) % 0.51/0.89 (define @t100 () (not @t98)) % 0.51/0.89 (define @t101 () (tptp.c_Set_Oinsert @t79 @t4 @t1)) % 0.51/0.89 (define @t102 () (tptp.c_Wellfounded_Owf @t17 @t1)) % 0.51/0.89 (define @t103 () (not @t102)) % 0.51/0.89 (define @t104 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t25 @t17 @t1)) % 0.51/0.89 (define @t105 () (tptp.hBOOL (tptp.hAPP @t25 @t77))) % 0.51/0.89 (define @t106 () (@list @t25 @t77 @t17 @t1)) % 0.51/0.89 (define @t107 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t36 @t55)) % 0.51/0.89 (define @t108 () (tptp.c_Transitive__Closure_Ortrancl @t107 @t1)) % 0.51/0.89 (define @t109 () (tptp.c_Transitive__Closure_Ortrancl @t36 @t1)) % 0.51/0.89 (define @t110 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t1)) % 0.51/0.89 (define @t111 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t109 @t55)) % 0.51/0.89 (define @t112 () (@list @t28 @t1 @t36)) % 0.51/0.89 (define @t113 () (tptp.c_Set_Oinsert @t77 @t4 @t1)) % 0.51/0.89 (define @t114 () (@list @t77 @t4 @t1 @t3)) % 0.51/0.89 (define @t115 () (@list @t6 @t77 @t4 @t1)) % 0.51/0.89 (define @t116 () (tptp.tc_prod @t41 @t12)) % 0.51/0.89 (define @t117 () (tptp.tc_fun @t116 tptp.tc_bool)) % 0.51/0.89 (define @t118 () (@list @t1 @t6)) % 0.51/0.89 (define @t119 () (tptp.c_Orderings_Obot__class_Obot @t55)) % 0.51/0.89 (define @t120 () (@list @t1 @t4)) % 0.51/0.89 (define @t121 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.51/0.89 (define @t122 () (tptp.c_Set_Oinsert @t77 @t6 @t1)) % 0.51/0.89 (define @t123 () (@list @t77 @t6 @t1)) % 0.51/0.89 (define @t124 () (tptp.c_Set_Oinsert @t77 @t72 @t1)) % 0.51/0.89 (define @t125 () (tptp.c_Orderings_Obot__class_Obot @t15)) % 0.51/0.89 (define @t126 () (@list @t28 @t12 @t1)) % 0.51/0.89 (define @t127 () (tptp.c_Relation_Osym @t17 @t1)) % 0.51/0.89 (define @t128 () (not @t127)) % 0.51/0.89 (define @t129 () (not (tptp.c_Relation_Osym @t44 @t1))) % 0.51/0.89 (define @t130 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t44 @t55)) % 0.51/0.89 (define @t131 () (@list @t17 @t44 @t1)) % 0.51/0.89 (define @t132 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t1)) % 0.51/0.89 (define @t133 () (tptp.c_Transitive__Closure_Ortrancl @t17 @t1)) % 0.51/0.89 (define @t134 () (tptp.c_lessequals @t133 @t132 @t55)) % 0.51/0.89 (define @t135 () (tptp.c_Relation_ODomain @t4 @t1 @t12)) % 0.51/0.89 (define @t136 () (tptp.c_Relation_ODomain @t6 @t1 @t12)) % 0.51/0.89 (define @t137 () (@list @t6 @t4 @t1 @t12)) % 0.51/0.89 (define @t138 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.51/0.89 (define @t139 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t33 @t2)) % 0.51/0.89 (define @t140 () (tptp.c_Relation_OImage @t28 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t15) @t12 @t1)) % 0.51/0.89 (define @t141 () (tptp.c_lessequals @t3 @t6 @t2)) % 0.51/0.89 (define @t142 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t3 @t2) @t73)) % 0.51/0.89 (define @t143 () (not @t141)) % 0.51/0.89 (define @t144 () (tptp.tc_fun @t41 tptp.tc_bool)) % 0.51/0.89 (define @t145 () (tptp.c_Wellfounded_Owf @t107 @t1)) % 0.51/0.89 (define @t146 () (@list @t28 @t36 @t1)) % 0.51/0.89 (define @t147 () (tptp.hBOOL (tptp.hAPP @t8 @t21))) % 0.51/0.89 (define @t148 () (tptp.hBOOL (tptp.hAPP @t6 @t21))) % 0.51/0.89 (define @t149 () (tptp.hAPP @t4 @t21)) % 0.51/0.89 (define @t150 () (tptp.hBOOL @t149)) % 0.51/0.89 (define @t151 () (@list @t4 @t21 @t6 @t1)) % 0.51/0.89 (define @t152 () (not @t150)) % 0.51/0.89 (define @t153 () (not @t148)) % 0.51/0.89 (define @t154 () (tptp.c_Relation_ODomain @t17 @t1 @t1)) % 0.51/0.89 (define @t155 () (tptp.c_COMBK @t3 @t15 @t1)) % 0.51/0.89 (define @t156 () (tptp.c_Product__Type_OSigma @t4 @t155 @t1 @t12)) % 0.51/0.89 (define @t157 () (tptp.c_Product__Type_OSigma @t6 @t155 @t1 @t12)) % 0.51/0.89 (define @t158 () (@list @t6 @t4 @t1 @t3 @t12)) % 0.51/0.89 (define @t159 () (tptp.c_Relation_Osingle__valued @t17 @t1 @t12)) % 0.51/0.89 (define @t160 () (not @t159)) % 0.51/0.89 (define @t161 () (not (tptp.c_Relation_Orefl__on @t4 @t44 @t1))) % 0.51/0.89 (define @t162 () (@list @t6 @t4 @t1 @t17 @t44)) % 0.51/0.89 (define @t163 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t60 @t1)) % 0.51/0.89 (define @t164 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t163 @t1)) % 0.51/0.89 (define @t165 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t67 @t60 @t1) @t164)) % 0.51/0.89 (define @t166 () (not (tptp.class_Lattices_Olattice @t1))) % 0.51/0.89 (define @t167 () (= @t164 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t66 @t1))) % 0.51/0.89 (define @t168 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.51/0.89 (define @t169 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t3 @t2)) % 0.51/0.89 (define @t170 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t169 @t2)) % 0.51/0.89 (define @t171 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t79 @t4 @t12) @t15 @t1)) % 0.51/0.89 (define @t172 () (tptp.c_Pair @t77 @t79 @t1 @t12)) % 0.51/0.89 (define @t173 () (= @t6 @t19)) % 0.51/0.89 (define @t174 () (tptp.c_in @t21 @t6 @t1)) % 0.51/0.89 (define @t175 () (not @t174)) % 0.51/0.89 (define @t176 () (tptp.c_in @t21 @t4 @t1)) % 0.51/0.89 (define @t177 () (not @t176)) % 0.51/0.89 (define @t178 () (@list @t21 @t4 @t1 @t6)) % 0.51/0.89 (define @t179 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t60 @t1)) % 0.51/0.89 (define @t180 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t61 @t1)) % 0.51/0.89 (define @t181 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t180 @t179 @t1)) % 0.51/0.89 (define @t182 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t163 @t1)) % 0.51/0.89 (define @t183 () (@list @t1 @t21 @t61)) % 0.51/0.89 (define @t184 () (not (= (tptp.c_Relation_Orel__comp @t6 @t3 @t1 @t1 @t1) @t119))) % 0.51/0.89 (define @t185 () (@list @t6 @t3 @t1 @t4)) % 0.51/0.89 (define @t186 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t25 @t17 @t1)) % 0.51/0.89 (define @t187 () (@var "V_xb" $$unsorted)) % 0.51/0.89 (define @t188 () (not (tptp.c_lessequals @t4 @t6 @t2))) % 0.51/0.89 (define @t189 () (= @t6 @t4)) % 0.51/0.89 (define @t190 () (@list @t6 @t4 @t1)) % 0.51/0.89 (define @t191 () (tptp.c_lessequals @t21 @t61 @t1)) % 0.51/0.89 (define @t192 () (not @t191)) % 0.51/0.89 (define @t193 () (tptp.c_lessequals @t61 @t21 @t1)) % 0.51/0.89 (define @t194 () (not @t193)) % 0.51/0.89 (define @t195 () (= @t21 @t61)) % 0.51/0.89 (define @t196 () (not (tptp.class_Orderings_Oorder @t1))) % 0.51/0.89 (define @t197 () (= @t180 @t61)) % 0.51/0.89 (define @t198 () (= @t8 @t4)) % 0.51/0.89 (define @t199 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t44 @t55)) % 0.51/0.89 (define @t200 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t63 @t1)) % 0.51/0.89 (define @t201 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t180 @t60 @t1) @t200)) % 0.51/0.89 (define @t202 () (= @t200 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t179 @t1))) % 0.51/0.89 (define @t203 () (= @t67 @t21)) % 0.51/0.89 (define @t204 () (tptp.c_lessequals @t6 @t3 @t2)) % 0.51/0.89 (define @t205 () (not @t204)) % 0.51/0.89 (define @t206 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.51/0.89 (define @t207 () (not @t206)) % 0.51/0.89 (define @t208 () (tptp.c_lessequals @t8 @t3 @t2)) % 0.51/0.89 (define @t209 () (tptp.c_lessequals @t77 @t21 @t1)) % 0.51/0.89 (define @t210 () (not @t209)) % 0.51/0.89 (define @t211 () (tptp.c_lessequals @t79 @t21 @t1)) % 0.51/0.89 (define @t212 () (not @t211)) % 0.51/0.89 (define @t213 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t79 @t1)) % 0.51/0.89 (define @t214 () (tptp.c_lessequals @t213 @t21 @t1)) % 0.51/0.89 (define @t215 () (@list @t1 @t77 @t79 @t21)) % 0.51/0.89 (define @t216 () (tptp.c_lessequals @t21 @t180 @t1)) % 0.51/0.89 (define @t217 () (tptp.c_lessequals @t61 @t180 @t1)) % 0.51/0.89 (define @t218 () (@list @t1 @t61 @t21)) % 0.51/0.89 (define @t219 () (tptp.c_lessequals @t60 @t21 @t1)) % 0.51/0.89 (define @t220 () (tptp.c_lessequals @t21 @t60 @t1)) % 0.51/0.89 (define @t221 () (not @t220)) % 0.51/0.89 (define @t222 () (tptp.c_lessequals @t61 @t60 @t1)) % 0.51/0.89 (define @t223 () (not @t222)) % 0.51/0.89 (define @t224 () (tptp.c_lessequals @t180 @t60 @t1)) % 0.51/0.89 (define @t225 () (= @t67 @t62)) % 0.51/0.89 (define @t226 () (tptp.c_Wellfounded_Oacyclic @t17 @t1)) % 0.51/0.89 (define @t227 () (@list @t17 @t1)) % 0.51/0.89 (define @t228 () (= @t77 @t79)) % 0.51/0.89 (define @t229 () (tptp.c_Set_Oinsert @t79 @t19 @t1)) % 0.51/0.89 (define @t230 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t2)) % 0.51/0.89 (define @t231 () (tptp.c_Relation_OField @t17 @t1)) % 0.51/0.89 (define @t232 () (tptp.c_Set_Oinsert @t77 @t229 @t1)) % 0.51/0.89 (define @t233 () (tptp.c_Pair @t77 @t79 @t1 @t1)) % 0.51/0.89 (define @t234 () (@list @t77 @t79 @t1 @t17)) % 0.51/0.89 (define @t235 () (tptp.c_Set_Oinsert @t21 @t4 @t1)) % 0.51/0.89 (define @t236 () (tptp.c_lessequals @t6 @t235 @t2)) % 0.51/0.89 (define @t237 () (@list @t6 @t21 @t4 @t1)) % 0.51/0.89 (define @t238 () (not @t236)) % 0.51/0.89 (define @t239 () (tptp.c_in @t77 @t6 @t1)) % 0.51/0.89 (define @t240 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t113 @t2)) % 0.51/0.89 (define @t241 () (tptp.c_in @t77 @t3 @t1)) % 0.51/0.89 (define @t242 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t113 @t3 @t2)) % 0.51/0.89 (define @t243 () (not (= @t8 @t19))) % 0.51/0.89 (define @t244 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t1) @t121))) % 0.51/0.89 (define @t245 () (@list @t1 @t6 @t4)) % 0.51/0.89 (define @t246 () (@var "V_T" $$unsorted)) % 0.51/0.89 (define @t247 () (tptp.c_Relation_OField @t44 @t1)) % 0.51/0.89 (define @t248 () (tptp.c_lessequals @t3 @t72 @t2)) % 0.51/0.89 (define @t249 () (not @t248)) % 0.51/0.89 (define @t250 () (tptp.c_lessequals @t3 @t4 @t2)) % 0.51/0.89 (define @t251 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t79 @t1)) % 0.51/0.89 (define @t252 () (tptp.c_lessequals @t21 @t251 @t1)) % 0.51/0.89 (define @t253 () (not @t252)) % 0.51/0.89 (define @t254 () (tptp.c_lessequals @t21 @t77 @t1)) % 0.51/0.89 (define @t255 () (@list @t1 @t21 @t77 @t79)) % 0.51/0.89 (define @t256 () (tptp.c_lessequals @t21 @t79 @t1)) % 0.51/0.89 (define @t257 () (tptp.c_lessequals @t251 @t21 @t1)) % 0.51/0.89 (define @t258 () (tptp.c_lessequals @t21 @t163 @t1)) % 0.51/0.89 (define @t259 () (not @t258)) % 0.51/0.89 (define @t260 () (@list @t1 @t21 @t60 @t61)) % 0.51/0.89 (define @t261 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t6 @t2)) % 0.51/0.89 (define @t262 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t61 @t21 @t1)) % 0.51/0.89 (define @t263 () (= @t180 @t262)) % 0.51/0.89 (define @t264 () (@var "V_R2" $$unsorted)) % 0.51/0.89 (define @t265 () (@var "V_R1" $$unsorted)) % 0.51/0.89 (define @t266 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t180 @t1) @t180)) % 0.51/0.89 (define @t267 () (tptp.c_Relation_ODomain @t17 @t1 @t12)) % 0.51/0.89 (define @t268 () (tptp.c_Relation_ORange @t4 @t12 @t1)) % 0.51/0.89 (define @t269 () (tptp.c_Relation_ORange @t6 @t12 @t1)) % 0.51/0.89 (define @t270 () (@list @t6 @t4 @t12 @t1)) % 0.51/0.89 (define @t271 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t25 @t17 @t1)) % 0.51/0.89 (define @t272 () (tptp.hBOOL (tptp.hAPP @t72 @t21))) % 0.51/0.89 (define @t273 () (not @t272)) % 0.51/0.89 (define @t274 () (@var "V_g" $$unsorted)) % 0.51/0.89 (define @t275 () (@var "V_f" $$unsorted)) % 0.51/0.89 (define @t276 () (= (tptp.c_Recdef_Ocut @t275 @t17 @t21 @t1 @t12) (tptp.c_Recdef_Ocut @t274 @t17 @t21 @t1 @t12))) % 0.51/0.89 (define @t277 () (tptp.c_List_Osko__Recdef__Xcuts__eq__1__1 @t275 @t274 @t17 @t21 @t1 @t12)) % 0.51/0.89 (define @t278 () (tptp.c_Pair @t61 @t21 @t1 @t1)) % 0.51/0.89 (define @t279 () (tptp.c_Set_Oinsert @t278 @t17 @t54)) % 0.51/0.89 (define @t280 () (tptp.c_Wellfounded_Oacyclic @t279 @t1)) % 0.51/0.89 (define @t281 () (not @t280)) % 0.51/0.89 (define @t282 () (@list @t17 @t1 @t61 @t21)) % 0.51/0.89 (define @t283 () (tptp.tc_fun @t1 @t12)) % 0.51/0.89 (define @t284 () (tptp.hAPP @t274 @t21)) % 0.51/0.89 (define @t285 () (tptp.hAPP @t275 @t21)) % 0.51/0.89 (define @t286 () (@var "V_c" $$unsorted)) % 0.51/0.89 (define @t287 () (tptp.c_in @t286 @t6 @t1)) % 0.51/0.89 (define @t288 () (not @t287)) % 0.51/0.89 (define @t289 () (tptp.c_in @t286 @t4 @t1)) % 0.51/0.89 (define @t290 () (not @t289)) % 0.51/0.89 (define @t291 () (tptp.c_in @t286 @t72 @t1)) % 0.51/0.89 (define @t292 () (@list @t286 @t6 @t4 @t1)) % 0.51/0.89 (define @t293 () (@var "V_t" $$unsorted)) % 0.51/0.89 (define @t294 () (@list @t286 @t4 @t1 @t6)) % 0.51/0.89 (define @t295 () (tptp.c_in @t286 @t8 @t1)) % 0.51/0.89 (define @t296 () (not (tptp.c_in @t21 @t19 @t1))) % 0.51/0.89 (define @t297 () (@list @t21 @t1)) % 0.51/0.89 (define @t298 () (tptp.hBOOL (tptp.hAPP @t25 @t21))) % 0.51/0.89 (define @t299 () (@list @t25 @t21 @t1)) % 0.51/0.89 (define @t300 () (@list @t77 @t1)) % 0.51/0.89 (define @t301 () (not @t291)) % 0.51/0.89 (define @t302 () (not @t298)) % 0.51/0.89 (define @t303 () (tptp.c_Relation_Oconverse @t12 @t1)) % 0.51/0.89 (define @t304 () (tptp.hAPP @t303 @t44)) % 0.51/0.89 (define @t305 () (tptp.hAPP @t303 @t17)) % 0.51/0.89 (define @t306 () (@list @t12 @t1 @t17 @t44)) % 0.51/0.89 (define @t307 () (not @t226)) % 0.51/0.89 (define @t308 () (tptp.c_Relation_Oconverse @t1 @t1)) % 0.51/0.89 (define @t309 () (tptp.hAPP @t308 @t17)) % 0.51/0.89 (define @t310 () (tptp.c_Wellfounded_Oacyclic @t309 @t1)) % 0.51/0.89 (define @t311 () (@list @t1 @t17)) % 0.51/0.89 (define @t312 () (not (tptp.c_Equiv__Relations_Oequiv @t6 @t17 @t1))) % 0.51/0.89 (define @t313 () (tptp.c_in @t61 @t6 @t1)) % 0.51/0.89 (define @t314 () (not @t313)) % 0.51/0.89 (define @t315 () (tptp.c_Pair @t21 @t61 @t1 @t1)) % 0.51/0.89 (define @t316 () (tptp.c_in @t315 @t17 @t54)) % 0.51/0.89 (define @t317 () (not @t316)) % 0.51/0.89 (define @t318 () (tptp.c_Set_Oinsert @t61 @t19 @t1)) % 0.51/0.89 (define @t319 () (= (tptp.c_Equiv__Relations_Oquotient @t22 @t17 @t1) (tptp.c_Equiv__Relations_Oquotient @t318 @t17 @t1))) % 0.51/0.89 (define @t320 () (@list @t21 @t1 @t17 @t61 @t6)) % 0.51/0.89 (define @t321 () (tptp.c_Orderings_Obot__class_Obot @t38)) % 0.51/0.89 (define @t322 () (= @t77 @t286)) % 0.51/0.89 (define @t323 () (@var "V_d" $$unsorted)) % 0.51/0.89 (define @t324 () (= @t77 @t323)) % 0.51/0.89 (define @t325 () (not (= @t232 (tptp.c_Set_Oinsert @t286 (tptp.c_Set_Oinsert @t323 @t19 @t1) @t1)))) % 0.51/0.89 (define @t326 () (@list @t77 @t79 @t1 @t286 @t323)) % 0.51/0.89 (define @t327 () (= @t79 @t286)) % 0.51/0.89 (define @t328 () (= @t79 @t323)) % 0.51/0.89 (define @t329 () (not @t57)) % 0.51/0.89 (define @t330 () (@list @t17 @t1 @t6)) % 0.51/0.89 (define @t331 () (not @t239)) % 0.51/0.89 (define @t332 () (@var "V_D" $$unsorted)) % 0.51/0.89 (define @t333 () (not (tptp.c_lessequals @t4 @t332 @t2))) % 0.51/0.89 (define @t334 () (@list @t6 @t4 @t1 @t3 @t332)) % 0.51/0.89 (define @t335 () (tptp.c_lessequals @t67 @t21 @t1)) % 0.51/0.89 (define @t336 () (tptp.c_lessequals @t67 @t61 @t1)) % 0.51/0.89 (define @t337 () (not @t254)) % 0.51/0.89 (define @t338 () (not @t256)) % 0.51/0.89 (define @t339 () (@list @t21 @t6 @t1 @t4)) % 0.51/0.89 (define @t340 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t67 @t1) @t67)) % 0.51/0.89 (define @t341 () (tptp.c_Relation_ORange @t17 @t1 @t1)) % 0.51/0.89 (define @t342 () (not @t224)) % 0.51/0.89 (define @t343 () (tptp.c_lessequals @t21 @t213 @t1)) % 0.51/0.89 (define @t344 () (not @t214)) % 0.51/0.89 (define @t345 () (not @t208)) % 0.51/0.89 (define @t346 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.51/0.89 (define @t347 () (not (tptp.c_lessequals @t25 @t26 @t2))) % 0.51/0.89 (define @t348 () (tptp.hBOOL (tptp.hAPP @t26 @t21))) % 0.51/0.89 (define @t349 () (@list @t26 @t21 @t25 @t1)) % 0.51/0.89 (define @t350 () (@var "V_p" $$unsorted)) % 0.51/0.89 (define @t351 () (tptp.c_lessequals @t21 @t21 @t1)) % 0.51/0.89 (define @t352 () (tptp.c_Relation_Oantisym @t17 @t1)) % 0.51/0.89 (define @t353 () (not (tptp.c_lessequals @t17 @t44 @t14))) % 0.51/0.89 (define @t354 () (@list @t17 @t1 @t12 @t44)) % 0.51/0.89 (define @t355 () (tptp.c_Relation_ORange @t17 @t12 @t1)) % 0.51/0.89 (define @t356 () (@list @t17 @t12 @t1)) % 0.51/0.89 (define @t357 () (@var "V_A_H" $$unsorted)) % 0.51/0.89 (define @t358 () (tptp.c_Relation_OImage @t17 @t6 @t1 @t12)) % 0.51/0.89 (define @t359 () (tptp.c_in @t233 @t133 @t54)) % 0.51/0.89 (define @t360 () (not @t359)) % 0.51/0.89 (define @t361 () (tptp.hBOOL (tptp.hAPP @t25 @t79))) % 0.51/0.89 (define @t362 () (not @t361)) % 0.51/0.89 (define @t363 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2 @t25 @t79 @t17 @t1)) % 0.51/0.89 (define @t364 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1 @t25 @t79 @t17 @t1)) % 0.51/0.89 (define @t365 () (@list @t25 @t77 @t79 @t17 @t1)) % 0.51/0.89 (define @t366 () (not @t105)) % 0.51/0.89 (define @t367 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2 @t25 @t77 @t17 @t1)) % 0.51/0.89 (define @t368 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1 @t25 @t77 @t17 @t1)) % 0.51/0.89 (define @t369 () (@list @t25 @t79 @t77 @t17 @t1)) % 0.51/0.89 (define @t370 () (= @t61 @t60)) % 0.51/0.89 (define @t371 () (tptp.c_in @t21 @t108 @t54)) % 0.51/0.89 (define @t372 () (@list @t21 @t28 @t36 @t1)) % 0.51/0.89 (define @t373 () (tptp.c_in @t350 @t86 @t54)) % 0.51/0.89 (define @t374 () (tptp.c_Relation_Orel__comp @t28 @t28 @t1 @t1 @t1)) % 0.51/0.89 (define @t375 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t374 (tptp.c_Relation_Orel__comp @t36 @t28 @t1 @t1 @t1) @t55) @t36 @t55) @t1)) % 0.51/0.89 (define @t376 () (@list @t28 @t1)) % 0.51/0.89 (define @t377 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t23 @t55)) % 0.51/0.89 (define @t378 () (tptp.c_Relation_Oantisym @t377 @t1)) % 0.51/0.89 (define @t379 () (not @t352)) % 0.51/0.89 (define @t380 () (tptp.c_in @t233 @t17 @t54)) % 0.51/0.89 (define @t381 () (not @t380)) % 0.51/0.89 (define @t382 () (tptp.c_Relation_OImage @t17 @t229 @t1 @t1)) % 0.51/0.89 (define @t383 () (tptp.c_Relation_OImage @t17 @t78 @t1 @t1)) % 0.51/0.89 (define @t384 () (@list @t17 @t77 @t1 @t79 @t6)) % 0.51/0.89 (define @t385 () (tptp.c_Pair @t21 @t21 @t1 @t1)) % 0.51/0.89 (define @t386 () (not (tptp.c_in @t385 @t86 @t54))) % 0.51/0.89 (define @t387 () (= @t383 @t382)) % 0.51/0.89 (define @t388 () (not @t387)) % 0.51/0.89 (define @t389 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t390 () (@var "V_F" $$unsorted)) % 0.51/0.89 (define @t391 () (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2 @t390)) % 0.51/0.89 (define @t392 () (tptp.c_Pair (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3 @t390) (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4 @t390) tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t393 () (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t390)) % 0.51/0.89 (define @t394 () (@list @t390)) % 0.51/0.89 (define @t395 () (@var "V_i" $$unsorted)) % 0.51/0.89 (define @t396 () (@list @t390 @t395)) % 0.51/0.89 (define @t397 () (tptp.c_Product__Type_OSigma @t6 @t4 @t1 @t12)) % 0.51/0.89 (define @t398 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1 @t77 @t79 @t17 @t1)) % 0.51/0.89 (define @t399 () (@list @t77 @t79 @t17 @t1)) % 0.51/0.89 (define @t400 () (tptp.c_Pair @t21 @t60 @t1 @t1)) % 0.51/0.89 (define @t401 () (not (tptp.c_in @t400 @t133 @t54))) % 0.51/0.89 (define @t402 () (= @t21 @t60)) % 0.51/0.89 (define @t403 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1 @t17 @t21 @t60 @t1)) % 0.51/0.89 (define @t404 () (@list @t17 @t21 @t60 @t1)) % 0.51/0.89 (define @t405 () (@list @t21 @t17 @t60 @t1)) % 0.51/0.89 (define @t406 () (tptp.c_in @t315 @t133 @t54)) % 0.51/0.89 (define @t407 () (not @t406)) % 0.51/0.89 (define @t408 () (tptp.c_Pair @t61 @t60 @t1 @t1)) % 0.51/0.89 (define @t409 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.51/0.89 (define @t410 () (tptp.c_Transitive__Closure_Ortrancl @t17 tptp.t_a)) % 0.51/0.89 (define @t411 () (@var "V_a2" $$unsorted)) % 0.51/0.89 (define @t412 () (@var "V_a1" $$unsorted)) % 0.51/0.89 (define @t413 () (tptp.c_Pair @t412 @t411 tptp.t_a tptp.t_a)) % 0.51/0.89 (define @t414 () (not (tptp.c_in @t413 @t410 @t409))) % 0.51/0.89 (define @t415 () (= @t411 @t412)) % 0.51/0.89 (define @t416 () (tptp.v_sko__Transitive__Closure__Xrtrancl__Xcases__1 @t412 @t411 @t17)) % 0.51/0.89 (define @t417 () (@list @t412 @t411 @t17)) % 0.51/0.89 (define @t418 () (tptp.hBOOL (tptp.hAPP @t25 @t61))) % 0.51/0.89 (define @t419 () (@list @t25 @t77 @t61 @t17 @t1)) % 0.51/0.89 (define @t420 () (@var "V_Ra" $$unsorted)) % 0.51/0.89 (define @t421 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1 @t17 @t1)) % 0.51/0.89 (define @t422 () (tptp.c_in @t385 @t17 @t54)) % 0.51/0.89 (define @t423 () (@list @t21 @t1 @t17)) % 0.51/0.89 (define @t424 () (tptp.c_in @t400 @t86 @t54)) % 0.51/0.89 (define @t425 () (not @t424)) % 0.51/0.89 (define @t426 () (tptp.c_in @t400 @t17 @t54)) % 0.51/0.89 (define @t427 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1 @t17 @t21 @t60 @t1)) % 0.51/0.89 (define @t428 () (tptp.c_Transitive__Closure_Otrancl @t17 tptp.t_a)) % 0.51/0.89 (define @t429 () (not (tptp.c_in @t413 @t428 @t409))) % 0.51/0.89 (define @t430 () (tptp.c_in @t413 @t17 @t409)) % 0.51/0.89 (define @t431 () (tptp.v_sko__Transitive__Closure__Xtrancl__Xcases__1 @t412 @t411 @t17)) % 0.51/0.89 (define @t432 () (tptp.c_in @t233 @t86 @t54)) % 0.51/0.89 (define @t433 () (not @t432)) % 0.51/0.89 (define @t434 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1 @t77 @t79 @t17 @t1)) % 0.51/0.89 (define @t435 () (not (tptp.c_in @t79 @t6 @t1))) % 0.51/0.89 (define @t436 () (not (tptp.c_in (tptp.c_Pair @t77 @t286 @t1 @t12) (tptp.c_Relation_Orel__comp @t17 @t44 @t1 @t41 @t12) @t13))) % 0.51/0.89 (define @t437 () (tptp.c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1 @t77 @t286 @t17 @t44 @t1 @t12 @t41)) % 0.51/0.89 (define @t438 () (@list @t77 @t286 @t17 @t44 @t1 @t12 @t41)) % 0.51/0.89 (define @t439 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I__1__1 @t6 @t4 @t275 @t1 @t12)) % 0.51/0.89 (define @t440 () (tptp.c_in @t275 (tptp.c_FuncSet_OPi @t6 @t4 @t1 @t12) @t283)) % 0.51/0.89 (define @t441 () (@list @t275 @t6 @t4 @t1 @t12)) % 0.51/0.89 (define @t442 () (tptp.c_FuncSet_Osko__FuncSet__XPi__I_H__1__1 @t6 @t4 @t275 @t1 @t12)) % 0.51/0.89 (define @t443 () (@list @t275 @t21 @t4 @t12 @t6 @t1)) % 0.51/0.89 (define @t444 () (tptp.c_ATP__Linkup_Osko__Relation__XIdE__1__1 @t350 @t1)) % 0.51/0.89 (define @t445 () (tptp.c_Wellfounded_Oacc @t17 @t1)) % 0.51/0.89 (define @t446 () (not (tptp.c_in @t286 @t59 @t54))) % 0.51/0.89 (define @t447 () (tptp.c_ATP__Linkup_Osko__Relation__XId__onE__1__1 @t6 @t286 @t1)) % 0.51/0.89 (define @t448 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t86 @t23 @t55)) % 0.51/0.89 (define @t449 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__3 @t390)) % 0.51/0.89 (define @t450 () (tptp.c_Pair (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__4 @t390) (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__5 @t390) tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t451 () (tptp.c_in @t450 (tptp.hAPP @t449 @t395) @t389)) % 0.51/0.89 (define @t452 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__2 @t390)) % 0.51/0.89 (define @t453 () (tptp.c_in @t450 (tptp.hAPP @t452 @t395) @t389)) % 0.51/0.89 (define @t454 () (tptp.c_Arrow__Order__Mirabelle_OIIA @t390)) % 0.51/0.89 (define @t455 () (tptp.c_in @t450 (tptp.hAPP @t390 @t452) @t389)) % 0.51/0.89 (define @t456 () (tptp.c_in @t450 (tptp.hAPP @t390 @t449) @t389)) % 0.51/0.89 (define @t457 () (tptp.c_Relation_Orel__comp @t133 @t17 @t1 @t1 @t1)) % 0.51/0.89 (define @t458 () (tptp.c_Relation_Orel__comp @t309 @t17 @t1 @t1 @t1)) % 0.51/0.89 (define @t459 () (@list @t21 @t61 @t1 @t17)) % 0.51/0.89 (define @t460 () (@list @t61 @t21 @t1 @t17)) % 0.51/0.89 (define @t461 () (tptp.c_in @t79 (tptp.c_Relation_OImage @t17 (tptp.c_Set_Oinsert @t77 @t125 @t12) @t12 @t1) @t1)) % 0.51/0.89 (define @t462 () (tptp.c_Pair @t77 @t79 @t12 @t1)) % 0.51/0.89 (define @t463 () (tptp.c_in @t462 @t17 @t37)) % 0.51/0.89 (define @t464 () (@list @t77 @t79 @t12 @t1 @t17)) % 0.51/0.89 (define @t465 () (= (tptp.c_Relation_OImage @t17 @t22 @t1 @t1) (tptp.c_Relation_OImage @t17 @t318 @t1 @t1))) % 0.51/0.89 (define @t466 () (@list @t17 @t21 @t1 @t61 @t6)) % 0.51/0.89 (define @t467 () (not @t465)) % 0.51/0.89 (define @t468 () (tptp.c_Transitive__Closure_Otrancl @t28 @t1)) % 0.51/0.89 (define @t469 () (tptp.c_in @t315 @t468 @t54)) % 0.51/0.89 (define @t470 () (not @t469)) % 0.51/0.89 (define @t471 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t28 @t21 @t61 @t1)) % 0.51/0.89 (define @t472 () (@list @t21 @t28 @t61 @t1)) % 0.51/0.89 (define @t473 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t28 @t21 @t61 @t1)) % 0.51/0.89 (define @t474 () (@list @t28 @t21 @t61 @t1)) % 0.51/0.89 (define @t475 () (tptp.c_in @t77 @t445 @t1)) % 0.51/0.89 (define @t476 () (not @t475)) % 0.51/0.89 (define @t477 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t25 @t17 @t1)) % 0.51/0.89 (define @t478 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t17 @t21 @t1)) % 0.51/0.89 (define @t479 () (tptp.c_in @t21 @t445 @t1)) % 0.51/0.89 (define @t480 () (@list @t21 @t17 @t1)) % 0.51/0.89 (define @t481 () (tptp.c_Wellfounded_Oacc @t17 tptp.t_a)) % 0.51/0.89 (define @t482 () (not (tptp.c_in @t21 @t481 tptp.t_a))) % 0.51/0.89 (define @t483 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t25 @t17)) % 0.51/0.89 (define @t484 () (@list @t25 @t21 @t17)) % 0.51/0.89 (define @t485 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t25 @t17 @t1)) % 0.51/0.89 (define @t486 () (tptp.c_Wellfounded_Oacc @t28 @t1)) % 0.51/0.89 (define @t487 () (tptp.c_in @t21 @t486 @t1)) % 0.51/0.89 (define @t488 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t28 @t21 @t1)) % 0.51/0.89 (define @t489 () (@list @t28 @t21 @t1)) % 0.51/0.89 (define @t490 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t25 @t17)) % 0.51/0.89 (define @t491 () (tptp.c_in @t79 (tptp.c_Relation_OImage @t17 @t6 @t12 @t1) @t1)) % 0.51/0.89 (define @t492 () (not @t491)) % 0.51/0.89 (define @t493 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t6 @t79 @t17 @t12 @t1)) % 0.51/0.89 (define @t494 () (@list @t6 @t79 @t17 @t12 @t1)) % 0.51/0.89 (define @t495 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t6 @t79 @t17 @t12 @t1)) % 0.51/0.89 (define @t496 () (tptp.c_Wellfounded_Owf @t279 @t1)) % 0.51/0.89 (define @t497 () (not @t496)) % 0.51/0.89 (define @t498 () (not (tptp.c_in @t21 @t26 @t1))) % 0.51/0.89 (define @t499 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t26 @t28 @t1)) % 0.51/0.89 (define @t500 () (not (tptp.c_in @t20 @t26 @t1))) % 0.51/0.89 (define @t501 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t26 @t17 @t1)) % 0.51/0.89 (define @t502 () (@var "V_r2" $$unsorted)) % 0.51/0.89 (define @t503 () (@var "V_r1" $$unsorted)) % 0.51/0.89 (define @t504 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t503 @t502 @t275 @t1 @t12 @t41))) % 0.51/0.89 (define @t505 () (@var "V_z1" $$unsorted)) % 0.51/0.89 (define @t506 () (@var "V_y1" $$unsorted)) % 0.51/0.89 (define @t507 () (tptp.tc_prod @t12 @t12)) % 0.51/0.89 (define @t508 () (@var "V_z2" $$unsorted)) % 0.51/0.89 (define @t509 () (@var "V_y2" $$unsorted)) % 0.51/0.89 (define @t510 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t390 @t395)) % 0.51/0.89 (define @t511 () (tptp.v_sko__Arrow__Order__Mirabelle__Xdictator__def__1 @t390 @t395)) % 0.51/0.89 (define @t512 () (@list @t21 @t6 @t1)) % 0.51/0.89 (define @t513 () (@list @t77 @t79 @t1 @t12 @t17)) % 0.51/0.89 (define @t514 () (tptp.c_Set_Oinsert @t61 @t6 @t1)) % 0.51/0.89 (define @t515 () (tptp.hBOOL (tptp.hAPP @t514 @t21))) % 0.51/0.89 (define @t516 () (= @t61 @t21)) % 0.51/0.89 (define @t517 () (tptp.c_in @t77 (tptp.c_Set_Oinsert @t79 @t6 @t1) @t1)) % 0.51/0.89 (define @t518 () (tptp.tc_fun @t389 tptp.tc_bool)) % 0.51/0.89 (define @t519 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t518)) % 0.51/0.89 (define @t520 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t17 @t1)) % 0.51/0.89 (define @t521 () (tptp.c_Nitpick_Orefl_H @t17 @t1)) % 0.51/0.89 (define @t522 () (not (tptp.c_in @t61 @t26 @t1))) % 0.51/0.89 (define @t523 () (tptp.c_in @t77 @t267 @t1)) % 0.51/0.89 (define @t524 () (not @t523)) % 0.51/0.89 (define @t525 () (@list @t77 @t17 @t1 @t12)) % 0.51/0.89 (define @t526 () (@var "V_ya" $$unsorted)) % 0.51/0.89 (define @t527 () (tptp.c_in @t526 @t481 tptp.t_a)) % 0.51/0.89 (define @t528 () (@list @t25 @t21 @t526 @t17)) % 0.51/0.89 (define @t529 () (@list @t25 @t21 @t61 @t17)) % 0.51/0.89 (define @t530 () (tptp.c_in @t77 @t355 @t1)) % 0.51/0.89 (define @t531 () (tptp.c_Pair @t79 @t286 @t1 @t1)) % 0.51/0.89 (define @t532 () (not (tptp.c_in @t531 @t17 @t54))) % 0.51/0.89 (define @t533 () (tptp.c_Pair @t77 @t286 @t1 @t1)) % 0.51/0.89 (define @t534 () (tptp.c_in @t533 @t133 @t54)) % 0.51/0.89 (define @t535 () (@list @t77 @t286 @t1 @t17 @t79)) % 0.51/0.89 (define @t536 () (not (tptp.c_in @t531 @t86 @t54))) % 0.51/0.89 (define @t537 () (tptp.c_in @t533 @t86 @t54)) % 0.51/0.89 (define @t538 () (tptp.c_Pair @t21 @t77 @t1 @t1)) % 0.51/0.89 (define @t539 () (not (tptp.c_in @t538 @t17 @t54))) % 0.51/0.89 (define @t540 () (tptp.c_in @t21 (tptp.c_Relation_ODomain @t28 @t1 @t1) @t1)) % 0.51/0.89 (define @t541 () (tptp.c_in @t315 @t110 @t54)) % 0.51/0.89 (define @t542 () (not @t541)) % 0.51/0.89 (define @t543 () (@list @t21 @t61 @t1 @t28)) % 0.51/0.89 (define @t544 () (tptp.c_in @t385 @t110 @t54)) % 0.51/0.89 (define @t545 () (tptp.c_Pair @t79 @t77 @t1 @t1)) % 0.51/0.89 (define @t546 () (not (tptp.c_in @t545 @t133 @t54))) % 0.51/0.89 (define @t547 () (tptp.c_in @t79 @t445 @t1)) % 0.51/0.89 (define @t548 () (@list @t79 @t17 @t1 @t77)) % 0.51/0.89 (define @t549 () (tptp.c_Relation_Osym @t309 @t1)) % 0.51/0.89 (define @t550 () (tptp.c_Relation_Orefl__on @t6 @t309 @t1)) % 0.51/0.89 (define @t551 () (@list @t6 @t17 @t1)) % 0.51/0.89 (define @t552 () (@list @t6 @t1 @t17)) % 0.51/0.89 (define @t553 () (= @t309 @t17)) % 0.51/0.89 (define @t554 () (tptp.hAPP @t308 @t86)) % 0.51/0.89 (define @t555 () (tptp.c_Transitive__Closure_Otrancl @t309 @t1)) % 0.51/0.89 (define @t556 () (tptp.c_Relation_Oantisym @t309 @t1)) % 0.51/0.89 (define @t557 () (tptp.c_Transitive__Closure_Ortrancl @t309 @t1)) % 0.51/0.89 (define @t558 () (tptp.c_Relation_Ototal__on @t6 @t309 @t1)) % 0.51/0.89 (define @t559 () (tptp.c_Relation_Ototal__on @t6 @t17 @t1)) % 0.51/0.89 (define @t560 () (not @t559)) % 0.51/0.89 (define @t561 () (not (tptp.c_in @t350 @t17 @t54))) % 0.51/0.89 (define @t562 () (@list @t350 @t17 @t1)) % 0.51/0.89 (define @t563 () (not (tptp.c_in @t531 @t133 @t54))) % 0.51/0.89 (define @t564 () (tptp.c_Wellfounded_Owf @t374 @t1)) % 0.51/0.89 (define @t565 () (tptp.c_Relation_Oinv__image @t17 @t275 @t1 @t12)) % 0.51/0.89 (define @t566 () (@list @t17 @t275 @t1 @t12)) % 0.51/0.89 (define @t567 () (tptp.c_Relation_Orel__comp @t17 @t133 @t1 @t1 @t1)) % 0.51/0.89 (define @t568 () (@var "T_d" $$unsorted)) % 0.51/0.89 (define @t569 () (= @t458 @t17)) % 0.51/0.89 (define @t570 () (tptp.hAPP (tptp.c_Relation_Oconverse @t1 @t12) @t17)) % 0.51/0.89 (define @t571 () (tptp.c_Relation_ODomain @t305 @t1 @t12)) % 0.51/0.89 (define @t572 () (@list @t12 @t1 @t17)) % 0.51/0.89 (define @t573 () (tptp.c_Pair @t77 @t77 @t1 @t1)) % 0.51/0.89 (define @t574 () (@list @t77 @t1 @t17)) % 0.51/0.89 (define @t575 () (tptp.c_in @t278 @t17 @t54)) % 0.51/0.89 (define @t576 () (not @t575)) % 0.51/0.89 (define @t577 () (tptp.c_in @t545 @t17 @t54)) % 0.51/0.89 (define @t578 () (tptp.hAPP @t275 @t61)) % 0.51/0.89 (define @t579 () (not (tptp.c_in @t315 @t59 @t54))) % 0.51/0.89 (define @t580 () (tptp.c_in @t573 @t17 @t54)) % 0.51/0.89 (define @t581 () (tptp.c_in (tptp.c_Pair @t285 @t578 @t12 @t12) @t17 @t507)) % 0.51/0.89 (define @t582 () (tptp.c_in @t315 (tptp.c_Relation_Oinv__image @t17 @t275 @t12 @t1) @t54)) % 0.51/0.89 (define @t583 () (not (tptp.c_in @t172 @t17 @t13))) % 0.51/0.89 (define @t584 () (not @t440)) % 0.51/0.89 (define @t585 () (tptp.c_in @t285 @t149 @t12)) % 0.51/0.89 (define @t586 () (@var "V_L" $$unsorted)) % 0.51/0.89 (define @t587 () (tptp.c_Pair @t21 @t61 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t588 () (tptp.c_in @t587 @t586 @t389)) % 0.51/0.89 (define @t589 () (not @t588)) % 0.51/0.89 (define @t590 () (tptp.c_in @t587 (tptp.c_Arrow__Order__Mirabelle_Omktop @t586 @t60) @t389)) % 0.51/0.89 (define @t591 () (@list @t21 @t61 @t586 @t60)) % 0.51/0.89 (define @t592 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t586 @t21)) % 0.51/0.89 (define @t593 () (tptp.c_Pair @t21 @t21 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t594 () (@list @t21 @t586)) % 0.51/0.89 (define @t595 () (@list @t21 @t61 @t586)) % 0.51/0.89 (define @t596 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t586 @t21)) % 0.51/0.89 (define @t597 () (tptp.c_Pair @t20 @t21 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t598 () (@list @t20 @t21 @t586)) % 0.51/0.89 (define @t599 () (tptp.c_in @t587 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t586 @t60) @t389)) % 0.51/0.89 (define @t600 () (= @t20 @t21)) % 0.51/0.89 (define @t601 () (tptp.c_Pair @t77 @t79 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t602 () (not (tptp.c_in @t25 tptp.c_Arrow__Order__Mirabelle_OProf @t519))) % 0.51/0.89 (define @t603 () (@var "V_P_H" $$unsorted)) % 0.51/0.89 (define @t604 () (not (tptp.c_in @t603 tptp.c_Arrow__Order__Mirabelle_OProf @t519))) % 0.51/0.89 (define @t605 () (tptp.v_sko__local__X3__1 @t25 @t603 @t77 @t79)) % 0.51/0.89 (define @t606 () (tptp.c_in @t601 (tptp.hAPP @t25 @t605) @t389)) % 0.51/0.89 (define @t607 () (not @t606)) % 0.51/0.89 (define @t608 () (tptp.c_Pair @t79 @t77 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t609 () (tptp.c_in @t608 (tptp.hAPP @t603 @t605) @t389)) % 0.51/0.89 (define @t610 () (not @t609)) % 0.51/0.89 (define @t611 () (tptp.hAPP tptp.v_F @t603)) % 0.51/0.89 (define @t612 () (tptp.c_in @t608 @t611 @t389)) % 0.51/0.89 (define @t613 () (not @t612)) % 0.51/0.89 (define @t614 () (tptp.c_in @t601 (tptp.hAPP tptp.v_F @t25) @t389)) % 0.51/0.89 (define @t615 () (@list @t77 @t79 @t25 @t603)) % 0.51/0.89 (define @t616 () (not @t614)) % 0.51/0.89 (define @t617 () (@list @t79 @t77 @t603 @t25)) % 0.51/0.89 (define @t618 () (not @t454)) % 0.51/0.89 (define @t619 () (not (tptp.c_in @t21 tptp.c_Arrow__Order__Mirabelle_OProf @t519))) % 0.51/0.89 (define @t620 () (not (tptp.c_in @t20 tptp.c_Arrow__Order__Mirabelle_OProf @t519))) % 0.51/0.89 (define @t621 () (tptp.v_sko__Arrow__Order__Mirabelle__XIIA__def__1 @t77 @t79 @t21 @t20)) % 0.51/0.89 (define @t622 () (tptp.c_in @t601 (tptp.hAPP @t21 @t621) @t389)) % 0.51/0.89 (define @t623 () (not @t622)) % 0.51/0.89 (define @t624 () (tptp.c_in @t601 (tptp.hAPP @t20 @t621) @t389)) % 0.51/0.89 (define @t625 () (not @t624)) % 0.51/0.89 (define @t626 () (tptp.c_in @t601 (tptp.hAPP @t390 @t20) @t389)) % 0.51/0.89 (define @t627 () (not @t626)) % 0.51/0.89 (define @t628 () (tptp.hAPP @t390 @t21)) % 0.51/0.89 (define @t629 () (tptp.c_in @t601 @t628 @t389)) % 0.51/0.89 (define @t630 () (@list @t77 @t79 @t390 @t21 @t20)) % 0.51/0.89 (define @t631 () (not @t629)) % 0.51/0.89 (define @t632 () (@list @t77 @t79 @t390 @t20 @t21)) % 0.51/0.89 (define @t633 () (@var "V_b_H" $$unsorted)) % 0.51/0.89 (define @t634 () (@var "V_a_H" $$unsorted)) % 0.51/0.89 (define @t635 () (= @t634 @t633)) % 0.51/0.89 (define @t636 () (= @t77 @t633)) % 0.51/0.89 (define @t637 () (= @t79 @t634)) % 0.51/0.89 (define @t638 () (tptp.v_sko__local__X2__1 @t25 @t603 @t77 @t634 @t79 @t633)) % 0.51/0.89 (define @t639 () (tptp.c_in @t601 (tptp.hAPP @t25 @t638) @t389)) % 0.51/0.89 (define @t640 () (not @t639)) % 0.51/0.89 (define @t641 () (tptp.c_Pair @t634 @t633 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.51/0.89 (define @t642 () (tptp.c_in @t641 (tptp.hAPP @t603 @t638) @t389)) % 0.51/0.89 (define @t643 () (not @t642)) % 0.51/0.89 (define @t644 () (tptp.c_in @t641 @t611 @t389)) % 0.51/0.89 (define @t645 () (not @t644)) % 0.51/0.89 (define @t646 () (@list @t77 @t79 @t25 @t634 @t633 @t603)) % 0.51/0.89 (define @t647 () (@list @t634 @t633 @t603 @t77 @t79 @t25)) % 0.51/0.89 (define @t648 () (tptp.v_sko__local__X1__1 @t25 @t603 @t77 @t634 @t79 @t633)) % 0.51/0.89 (define @t649 () (tptp.c_in @t601 (tptp.hAPP @t25 @t648) @t389)) % 0.51/0.89 (define @t650 () (tptp.c_in @t641 (tptp.hAPP @t603 @t648) @t389)) % 0.51/0.89 (define @t651 () (tptp.c_in @t79 (tptp.hAPP @t4 @t77) @t12)) % 0.51/0.89 (define @t652 () (tptp.c_in @t172 @t397 @t13)) % 0.51/0.89 (define @t653 () (@list @t61 @t6 @t1 @t21 @t17)) % 0.51/0.89 (define @t654 () (@list @t21 @t6 @t1 @t61 @t17)) % 0.51/0.89 (define @t655 () (not @t652)) % 0.51/0.89 (define @t656 () (tptp.c_in @t315 @t554 @t54)) % 0.51/0.89 (define @t657 () (tptp.c_in @t315 @t555 @t54)) % 0.51/0.89 (define @t658 () (tptp.c_in @t315 @t557 @t54)) % 0.51/0.89 (define @t659 () (tptp.c_in @t278 @t133 @t54)) % 0.51/0.89 (define @t660 () (@var "V_x_H" $$unsorted)) % 0.51/0.89 (define @t661 () (@var "T_e" $$unsorted)) % 0.51/0.89 (define @t662 () (@var "V_g_H" $$unsorted)) % 0.51/0.89 (define @t663 () (@var "V_f_H" $$unsorted)) % 0.51/0.89 (define @t664 () (tptp.hAPP (tptp.c_Fun_Ocomp @t275 @t274 @t12 @t1 @t41) @t21)) % 0.51/0.89 (define @t665 () (tptp.hAPP @t275 @t284)) % 0.51/0.89 (define @t666 () (@var "V_v" $$unsorted)) % 0.51/0.89 (define @t667 () (tptp.hAPP @t77 (tptp.hAPP @t79 @t666))) % 0.51/0.89 (define @t668 () (tptp.c_Fun_Ocomp @t77 @t79 @t41 @t12 @t1)) % 0.51/0.89 (define @t669 () (not (= @t172 (tptp.c_Pair @t634 @t633 @t1 @t12)))) % 0.51/0.89 (define @t670 () (@list @t77 @t79 @t1 @t12 @t634 @t633)) % 0.51/0.89 (define @t671 () (tptp.c_Pair @t79 @t77 @t12 @t1)) % 0.51/0.89 (define @t672 () (tptp.c_in @t671 @t17 @t37)) % 0.51/0.89 (define @t673 () (tptp.c_in @t172 @t305 @t13)) % 0.51/0.89 (define @t674 () (@list @t79 @t77 @t12 @t1 @t17)) % 0.51/0.89 (define @t675 () (@var "V_h" $$unsorted)) % 0.51/0.89 (define @t676 () (tptp.c_in (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.hAPP tptp.v_P_H____ @t395) @t389)) % 0.51/0.89 (define @t677 () (not @t676)) % 0.51/0.89 (define @t678 () (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.hAPP tptp.v_P____ @t395) @t389)) % 0.51/0.89 (define @t679 () (@list @t395)) % 0.51/0.89 (define @t680 () (tptp.hBOOL (tptp.hAPP @t36 @t21))) % 0.51/0.89 (define @t681 () (tptp.c_in @t21 @t36 @t1)) % 0.51/0.89 (define @t682 () (tptp.c_Fun_Ocomp (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_P____ @t518 @t518 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 0.51/0.89 (define @t683 () (= tptp.v_b____ tptp.v_a____)) % 0.51/0.89 (define @t684 () (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.hAPP @t682 @t395) @t389)) % 0.51/0.89 (define @t685 () (@var "T_1" $$unsorted)) % 0.51/0.89 (define @t686 () (not (tptp.class_Lattices_Olattice @t685))) % 0.51/0.89 (define @t687 () (@var "T_2" $$unsorted)) % 0.51/0.89 (define @t688 () (tptp.tc_fun @t687 @t685)) % 0.51/0.89 (define @t689 () (@list @t687 @t685)) % 0.51/0.89 (define @t690 () (@var "V_Y" $$unsorted)) % 0.51/0.89 (define @t691 () (@var "V_X" $$unsorted)) % 0.51/0.89 (assume @p1 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t3 @t2) @t7))) % 0.51/0.89 (assume @p2 (forall @t11 (= @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t10 @t2)))) % 0.51/0.89 (assume @p3 (forall (@list @t17 @t3 @t1 @t12 @t4 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t17 @t3 @t1 @t12) @t4 @t15) @t18))) % 0.51/0.89 (assume @p4 (forall (@list @t20 @t21 @t1) (= (tptp.c_Set_Oinsert @t20 @t22 @t1) (tptp.c_Set_Oinsert @t21 (tptp.c_Set_Oinsert @t20 @t19 @t1) @t1)))) % 0.51/0.89 (assume @p5 (forall @t24 (tptp.c_Relation_Osingle__valued @t23 @t1 @t1))) % 0.51/0.89 (assume @p6 (forall (@list @t25 @t1 @t12 @t26) (= (tptp.hAPP (tptp.c_COMBK @t25 @t1 @t12) @t26) @t25))) % 0.51/0.89 (assume @p7 (forall (@list @t1 @t12) (= (tptp.c_Relation_ODomain @t27 @t1 @t12) @t19))) % 0.51/0.89 (assume @p8 (forall (@list @t25 @t32 @t28 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t32)) (not (tptp.hBOOL (tptp.hAPP @t25 @t31))) @t30))) % 0.51/0.89 (assume @p9 (forall @t35 (= (tptp.c_Relation_OImage @t28 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t15) @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t33 @t2)))) % 0.51/0.89 (assume @p10 (forall (@list @t28 @t36 @t12 @t1 @t6) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t36 @t38) @t6 @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 (tptp.c_Relation_OImage @t36 @t6 @t12 @t1) @t2)))) % 0.51/0.89 (assume @p11 (forall (@list @t39 @t45 @t1 @t12 @t41 @t17 @t44) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t39 @t45 @t1 @t12 @t41) @t48 @t47) (not (tptp.c_lessequals @t45 @t44 @t43)) @t40))) % 0.51/0.89 (assume @p12 (forall @t50 (or @t49 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t21 @t1) @t21)))) % 0.51/0.89 (assume @p13 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t6 @t2) @t6))) % 0.51/0.89 (assume @p14 (forall @t58 (or @t57 @t53))) % 0.51/0.89 (assume @p15 (forall @t51 (tptp.c_lessequals @t59 @t56 @t55))) % 0.51/0.89 (assume @p16 (forall @t65 (or @t64 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t63 @t21 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t21 @t1) @t1))))) % 0.51/0.89 (assume @p17 (forall @t70 (or @t64 (= @t69 @t68)))) % 0.51/0.89 (assume @p18 (forall @t11 (= @t73 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t71 @t2)))) % 0.51/0.89 (assume @p19 (forall @t76 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t6 @t2) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t74 @t2)))) % 0.51/0.89 (assume @p20 (forall (@list @t79 @t77 @t1) (or (= @t79 @t77) (not (tptp.c_in @t79 @t78 @t1))))) % 0.51/0.89 (assume @p21 (forall @t84 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t82 @t80 @t2) @t3 @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t83 @t81 @t14)))) % 0.51/0.89 (assume @p22 (forall @t87 (or (tptp.c_lessequals @t86 @t44 @t55) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t44 @t55) @t17 @t1 @t1 @t1) @t44 @t55)) @t85))) % 0.51/0.89 (assume @p23 (forall (@list @t6 @t4 @t12 @t3 @t1 @t21) (or @t93 (not @t92) @t88))) % 0.51/0.89 (assume @p24 (forall @t94 (or @t92 (not @t93) @t88))) % 0.51/0.89 (assume @p25 (forall @t99 (or @t98 @t97))) % 0.51/0.89 (assume @p26 (forall (@list @t6 @t79 @t4 @t1) (or (tptp.c_lessequals @t6 @t101 @t2) @t100))) % 0.51/0.89 (assume @p27 (forall @t106 (or @t105 (not (tptp.hBOOL (tptp.hAPP @t25 @t104))) @t103))) % 0.51/0.89 (assume @p28 (forall @t112 (tptp.c_lessequals @t111 @t108 @t55))) % 0.51/0.89 (assume @p29 (forall @t114 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t113 @t3 @t2) (tptp.c_Set_Oinsert @t77 @t5 @t1)))) % 0.51/0.89 (assume @p30 (forall @t115 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t113 @t2) (tptp.c_Set_Oinsert @t77 @t8 @t1)))) % 0.51/0.89 (assume @p31 (forall (@list @t1 @t41 @t28 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t47) @t28 @t1 @t41 @t12) @t27))) % 0.51/0.89 (assume @p32 (forall (@list @t28 @t41 @t12 @t1) (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Orderings_Obot__class_Obot @t117) @t1 @t41 @t12) @t27))) % 0.51/0.89 (assume @p33 (forall @t118 (tptp.c_lessequals @t19 @t6 @t2))) % 0.51/0.89 (assume @p34 (forall @t120 (tptp.c_lessequals @t119 @t4 @t55))) % 0.51/0.89 (assume @p35 (forall @t50 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t121 @t21 @t1)))) % 0.51/0.89 (assume @p36 (forall @t123 (not (= @t122 @t19)))) % 0.51/0.89 (assume @p37 (forall (@list @t77 @t6 @t1 @t4) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t113 @t2) @t124))) % 0.51/0.89 (assume @p38 (forall @t126 (= (tptp.c_Relation_OImage @t28 @t125 @t12 @t1) @t19))) % 0.51/0.89 (assume @p39 (forall @t131 (or (tptp.c_Relation_Osym @t130 @t1) @t129 @t128))) % 0.51/0.89 (assume @p40 (forall @t87 (or @t134 @t85))) % 0.51/0.89 (assume @p41 (forall @t137 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t14) @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t136 @t135 @t2) @t2))) % 0.51/0.89 (assume @p42 (forall @t50 (or @t138 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t121 @t1) @t121)))) % 0.51/0.89 (assume @p43 (forall @t50 (or @t138 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t21 @t1) @t121)))) % 0.51/0.89 (assume @p44 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t4 @t2) @t19))) % 0.51/0.89 (assume @p45 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t19 @t2) @t19))) % 0.51/0.89 (assume @p46 (forall (@list @t4 @t77 @t1) (tptp.c_lessequals @t4 @t113 @t2))) % 0.51/0.89 (assume @p47 (forall @t35 (tptp.c_lessequals @t140 @t139 @t2))) % 0.51/0.89 (assume @p48 (forall @t9 (or (not @t142) @t141))) % 0.51/0.89 (assume @p49 (forall @t9 (or @t142 @t143))) % 0.51/0.89 (assume @p50 (forall (@list @t17 @t44 @t1 @t12 @t41 @t6 @t3 @t4) (or (tptp.c_lessequals @t48 (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t3 @t144 @t1) @t1 @t41) @t47) (not (tptp.c_lessequals @t44 (tptp.c_Product__Type_OSigma @t4 (tptp.c_COMBK @t3 @t144 @t12) @t12 @t41) @t43)) @t18))) % 0.51/0.89 (assume @p51 (forall @t146 (or @t145 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t1 @t1) @t28 @t55)) (not (tptp.c_Wellfounded_Owf @t36 @t1)) @t30))) % 0.51/0.89 (assume @p52 (forall @t151 (or @t150 @t148 (not @t147)))) % 0.51/0.89 (assume @p53 (forall @t99 (or @t147 @t152))) % 0.51/0.89 (assume @p54 (forall @t99 (or @t147 @t153))) % 0.51/0.89 (assume @p55 (forall @t87 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t154 (tptp.c_Relation_ORange @t44 @t1 @t1) @t2) @t19)) (not (tptp.c_Wellfounded_Owf @t44 @t1)) @t103 (tptp.c_Wellfounded_Owf @t130 @t1)))) % 0.51/0.89 (assume @p56 (forall @t158 (= (tptp.c_Product__Type_OSigma @t72 @t155 @t1 @t12) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t157 @t156 @t14)))) % 0.51/0.89 (assume @p57 (forall (@list @t17 @t44 @t1 @t12 @t41) (or (tptp.c_Relation_Osingle__valued @t48 @t1 @t41) (not (tptp.c_Relation_Osingle__valued @t44 @t12 @t41)) @t160))) % 0.51/0.89 (assume @p58 (forall @t162 (or (tptp.c_Relation_Orefl__on @t8 @t130 @t1) @t161 @t53))) % 0.51/0.89 (assume @p59 (forall @t70 (or @t166 @t165))) % 0.51/0.89 (assume @p60 (forall @t70 (or @t166 @t167))) % 0.51/0.89 (assume @p61 (forall @t70 (or @t168 @t167))) % 0.51/0.89 (assume @p62 (forall @t70 (or @t168 @t165))) % 0.51/0.89 (assume @p63 (forall @t9 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t72 @t3 @t2) @t170))) % 0.51/0.89 (assume @p64 (forall @t11 (= @t170 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t71 @t2)))) % 0.51/0.89 (assume @p65 (forall @t50 (or @t138 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t121 @t1) @t21)))) % 0.51/0.89 (assume @p66 (forall @t50 (or @t138 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t121 @t21 @t1) @t21)))) % 0.51/0.89 (assume @p67 (forall @t120 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t4 @t2) @t4))) % 0.51/0.89 (assume @p68 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t19 @t2) @t6))) % 0.51/0.89 (assume @p69 (forall (@list @t77 @t6 @t1 @t79 @t4 @t12) (= (tptp.c_Product__Type_OSigma @t122 @t171 @t1 @t12) (tptp.c_Set_Oinsert @t172 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t6 @t171 @t1 @t12) (tptp.c_Product__Type_OSigma @t122 @t16 @t1 @t12) @t14) @t13)))) % 0.51/0.89 (assume @p70 (forall (@list @t6 @t1 @t28) (or @t173 (not (tptp.c_lessequals @t6 (tptp.c_Relation_OImage @t28 @t6 @t1 @t1) @t2)) @t30))) % 0.51/0.89 (assume @p71 (forall @t50 (not (tptp.hBOOL (tptp.hAPP @t19 @t21))))) % 0.51/0.89 (assume @p72 (forall @t178 (or @t177 @t175 (not (= @t72 @t19))))) % 0.51/0.89 (assume @p73 (forall @t70 (or @t166 (tptp.c_lessequals @t182 @t181 @t1)))) % 0.51/0.89 (assume @p74 (forall @t183 (or @t166 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t67 @t1) @t21)))) % 0.51/0.89 (assume @p75 (forall @t76 (or (not (= (tptp.c_Relation_Orel__comp @t4 @t3 @t1 @t1 @t1) @t119)) @t184 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t55) @t3 @t1 @t1 @t1) @t119)))) % 0.51/0.89 (assume @p76 (forall @t185 (or @t184 (not (= (tptp.c_Relation_Orel__comp @t6 @t4 @t1 @t1 @t1) @t119)) (= (tptp.c_Relation_Orel__comp @t6 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t3 @t55) @t1 @t1 @t1) @t119)))) % 0.51/0.89 (assume @p77 (forall (@list @t25 @t187 @t17 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t187)) (not (tptp.hBOOL (tptp.hAPP @t25 @t186))) @t103))) % 0.51/0.89 (assume @p78 (forall @t190 (or @t189 @t188 @t100))) % 0.51/0.89 (assume @p79 (forall @t183 (or @t196 @t195 @t194 @t192))) % 0.51/0.89 (assume @p80 (forall @t183 (or @t196 @t195 @t192 @t194))) % 0.51/0.89 (assume @p81 (forall @t183 (or @t166 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t180 @t1) @t21)))) % 0.51/0.89 (assume @p82 (forall @t183 (or @t49 (= @t180 @t21) @t194))) % 0.51/0.89 (assume @p83 (forall @t183 (or @t49 (not @t197) @t191))) % 0.51/0.89 (assume @p84 (forall @t183 (or @t49 @t197 @t192))) % 0.51/0.89 (assume @p85 (forall @t190 (or @t198 @t100))) % 0.51/0.89 (assume @p86 (forall @t190 (or (= @t8 @t6) @t188))) % 0.51/0.89 (assume @p87 (forall @t190 (or (not @t198) @t98))) % 0.51/0.89 (assume @p88 (forall @t162 (or (tptp.c_Relation_Orefl__on @t72 @t199 @t1) @t161 @t53))) % 0.51/0.89 (assume @p89 (forall @t70 (or @t49 @t201))) % 0.51/0.89 (assume @p90 (forall @t70 (or @t49 @t202))) % 0.51/0.89 (assume @p91 (forall @t70 (or @t166 @t202))) % 0.51/0.89 (assume @p92 (forall @t70 (or @t166 @t201))) % 0.51/0.89 (assume @p93 (forall @t190 (or (= @t72 @t6) @t100))) % 0.51/0.89 (assume @p94 (forall @t190 (or (= @t72 @t4) @t188))) % 0.51/0.89 (assume @p95 (forall @t183 (or @t168 @t203 @t192))) % 0.51/0.89 (assume @p96 (forall @t183 (or @t168 (not @t203) @t191))) % 0.51/0.89 (assume @p97 (forall @t183 (or @t168 (= @t67 @t61) @t194))) % 0.51/0.89 (assume @p98 (forall @t9 (or @t208 @t207 @t205))) % 0.51/0.89 (assume @p99 (forall (@list @t4 @t6 @t1) (tptp.c_lessequals @t4 @t8 @t2))) % 0.51/0.89 (assume @p100 (forall @t190 (tptp.c_lessequals @t6 @t8 @t2))) % 0.51/0.89 (assume @p101 (forall @t215 (or @t49 @t214 @t212 @t210))) % 0.51/0.89 (assume @p102 (forall @t183 (or @t49 @t216))) % 0.51/0.89 (assume @p103 (forall @t218 (or @t49 @t217))) % 0.51/0.89 (assume @p104 (forall @t65 (or @t49 (tptp.c_lessequals @t63 @t21 @t1) (not @t219) @t194))) % 0.51/0.89 (assume @p105 (forall @t70 (or @t49 @t224 @t223 @t221))) % 0.51/0.89 (assume @p106 (forall @t218 (or @t166 @t217))) % 0.51/0.89 (assume @p107 (forall @t183 (or @t166 @t216))) % 0.51/0.89 (assume @p108 (forall @t190 (= @t72 @t75))) % 0.51/0.89 (assume @p109 (forall @t183 (or @t168 @t225))) % 0.51/0.89 (assume @p110 (forall @t183 (or @t166 @t225))) % 0.51/0.89 (assume @p111 (forall @t227 (or @t226 @t103))) % 0.51/0.89 (assume @p112 (forall @t70 (or @t166 (tptp.c_lessequals @t68 @t69 @t1)))) % 0.51/0.89 (assume @p113 (forall (@list @t36 @t1 @t28) (or (= @t109 @t110) (not (tptp.c_lessequals @t36 @t110 @t55)) (not (tptp.c_lessequals @t28 @t36 @t55))))) % 0.51/0.89 (assume @p114 (forall (@list @t77 @t1 @t79) (or (not (= @t78 @t229)) @t228))) % 0.51/0.89 (assume @p115 (forall @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t72 @t169 @t2) @t74 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t5 @t2) @t230 @t2)))) % 0.51/0.89 (assume @p116 (forall @t24 (= (tptp.c_Relation_OId__on @t19 @t1) @t119))) % 0.51/0.89 (assume @p117 (forall @t234 (= (tptp.c_Relation_OField (tptp.c_Set_Oinsert @t233 @t17 @t54) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t232 @t231 @t2)))) % 0.51/0.89 (assume @p118 (forall (@list @t21 @t20 @t1) (or (not (= (tptp.c_Set_Oinsert @t21 @t20 @t1) @t19)) (tptp.c_in @t21 @t20 @t1)))) % 0.51/0.89 (assume @p119 (forall @t24 (tptp.c_Wellfounded_Owf @t119 @t1))) % 0.51/0.89 (assume @p120 (forall @t178 (or @t176 @t97))) % 0.51/0.89 (assume @p121 (forall @t84 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t82 @t80 @t2) @t3 @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t83 @t81 @t14)))) % 0.51/0.89 (assume @p122 (forall @t237 (or @t236 @t100 @t174))) % 0.51/0.89 (assume @p123 (forall @t99 (or @t98 @t174 @t238))) % 0.51/0.89 (assume @p124 (forall @t99 (or @t98 @t238 @t174))) % 0.51/0.89 (assume @p125 (forall @t115 (or (= @t240 @t72) @t239))) % 0.51/0.89 (assume @p126 (forall @t114 (or (= @t242 @t169) @t241))) % 0.51/0.89 (assume @p127 (forall @t190 (or @t243 (= @t4 @t19)))) % 0.51/0.89 (assume @p128 (forall @t190 (or @t243 @t173))) % 0.51/0.89 (assume @p129 (forall @t245 (or @t138 @t244 (= @t6 @t121)))) % 0.51/0.89 (assume @p130 (forall @t245 (or @t138 @t244 (= @t4 @t121)))) % 0.51/0.89 (assume @p131 (forall (@list @t36 @t246 @t1 @t41 @t28 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t246 @t47) @t28 @t1 @t41 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t36 @t28 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t246 @t28 @t1 @t41 @t12) @t14)))) % 0.51/0.89 (assume @p132 (forall (@list @t28 @t36 @t246 @t41 @t12 @t1) (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t36 @t246 @t117) @t1 @t41 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t28 @t246 @t1 @t41 @t12) @t14)))) % 0.51/0.89 (assume @p133 (forall @t131 (= (tptp.c_Relation_OField @t130 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t231 @t247 @t2)))) % 0.51/0.89 (assume @p134 (forall (@list @t3 @t4 @t1 @t6) (or @t250 @t249))) % 0.51/0.89 (assume @p135 (forall (@list @t3 @t6 @t1 @t4) (or @t141 @t249))) % 0.51/0.89 (assume @p136 (forall @t255 (or @t168 @t254 @t253))) % 0.51/0.89 (assume @p137 (forall (@list @t1 @t21 @t79 @t77) (or @t168 @t256 @t253))) % 0.51/0.89 (assume @p138 (forall @t215 (or @t168 @t257 @t210))) % 0.51/0.89 (assume @p139 (forall @t215 (or @t168 @t257 @t212))) % 0.51/0.89 (assume @p140 (forall @t70 (or @t168 @t191 @t259))) % 0.51/0.89 (assume @p141 (forall @t260 (or @t168 @t220 @t259))) % 0.51/0.89 (assume @p142 (= (tptp.c_Relation_OField tptp.v_r tptp.t_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_ODomain tptp.v_r tptp.t_a tptp.t_a) (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_a) (tptp.tc_fun tptp.t_a tptp.tc_bool)))) % 0.51/0.89 (assume @p143 (forall @t190 (= @t8 @t261))) % 0.51/0.89 (assume @p144 (forall @t183 (or @t49 @t263))) % 0.51/0.89 (assume @p145 (forall @t183 (or @t166 @t263))) % 0.51/0.89 (assume @p146 (forall @t137 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t14) @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t136 @t135 @t2)))) % 0.51/0.89 (assume @p147 (forall @t123 (= @t122 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t78 @t6 @t2)))) % 0.51/0.89 (assume @p148 (forall (@list @t1 @t4 @t12) (= (tptp.c_Product__Type_OSigma @t19 @t4 @t1 @t12) @t27))) % 0.51/0.89 (assume @p149 (forall (@list @t264 @t1 @t265) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t264 @t1) (tptp.c_Wellfounded_Oacc @t265 @t1) @t2) (not (tptp.c_lessequals @t265 @t264 @t55))))) % 0.51/0.89 (assume @p150 (forall @t190 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t8 @t2) @t8))) % 0.51/0.89 (assume @p151 (forall @t183 (or @t49 @t266))) % 0.51/0.89 (assume @p152 (forall @t183 (or @t166 @t266))) % 0.51/0.89 (assume @p153 (forall (@list @t17 @t1 @t12) (or (not (= @t267 @t19)) (= @t17 @t27)))) % 0.51/0.89 (assume @p154 (forall @t270 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t4 @t38) @t12 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t269 @t268 @t2) @t2))) % 0.51/0.89 (assume @p155 (forall @t106 (or @t105 (not (tptp.hBOOL (tptp.hAPP @t25 @t271))) @t103))) % 0.51/0.89 (assume @p156 (forall @t24 (= (tptp.c_Relation_OField @t119 @t1) @t19))) % 0.51/0.89 (assume @p157 (forall @t112 (= (tptp.c_Transitive__Closure_Ortrancl @t111 @t1) @t108))) % 0.51/0.89 (assume @p158 (forall @t151 (or @t150 @t273))) % 0.51/0.89 (assume @p159 (forall @t237 (or @t148 @t273))) % 0.51/0.89 (assume @p160 (forall @t131 (or (tptp.c_Relation_Osym @t199 @t1) @t129 @t128))) % 0.51/0.89 (assume @p161 (forall (@list @t275 @t274 @t17 @t21 @t1 @t12) (or (not (= (tptp.hAPP @t275 @t277) (tptp.hAPP @t274 @t277))) @t276))) % 0.51/0.89 (assume @p162 (forall @t51 (tptp.c_Relation_Osingle__valued @t59 @t1 @t1))) % 0.51/0.89 (assume @p163 (forall @t282 (or @t226 @t281))) % 0.51/0.89 (assume @p164 (forall (@list @t12 @t275 @t21 @t274 @t1) (or (not (tptp.class_HOL_Oord @t12)) (tptp.c_lessequals @t285 @t284 @t12) (not (tptp.c_lessequals @t275 @t274 @t283))))) % 0.51/0.89 (assume @p165 (forall @t292 (or @t291 @t290 @t288))) % 0.51/0.89 (assume @p166 (forall (@list @t293 @t4 @t1 @t6) (or (tptp.c_in @t293 @t4 @t1) (not (tptp.c_in @t293 @t6 @t1)) @t100))) % 0.51/0.89 (assume @p167 (forall @t178 (or @t176 @t100 @t175))) % 0.51/0.89 (assume @p168 (forall @t294 (or @t289 @t288 @t100))) % 0.51/0.89 (assume @p169 (forall @t178 (or @t176 @t175 @t100))) % 0.51/0.89 (assume @p170 (forall @t292 (or @t295 @t288))) % 0.51/0.89 (assume @p171 (forall @t292 (or @t295 @t290))) % 0.51/0.89 (assume @p172 (forall @t297 @t296)) % 0.51/0.89 (assume @p173 (forall @t299 (or @t298 @t296))) % 0.51/0.89 (assume @p174 (forall (@list @t286 @t1) (not (tptp.c_in @t286 @t19 @t1)))) % 0.51/0.89 (assume @p175 (forall @t300 (not (tptp.c_in @t77 @t19 @t1)))) % 0.51/0.89 (assume @p176 (forall @t294 (or @t289 @t287 (not @t295)))) % 0.51/0.89 (assume @p177 (forall @t294 (or @t289 @t301))) % 0.51/0.89 (assume @p178 (forall (@list @t286 @t6 @t1 @t4) (or @t287 @t301))) % 0.51/0.89 (assume @p179 (forall @t299 (or @t302 @t296))) % 0.51/0.89 (assume @p180 (forall @t306 (= (tptp.hAPP @t303 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t44 @t38)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t305 @t304 @t14)))) % 0.51/0.89 (assume @p181 (forall @t311 (or @t310 @t307))) % 0.51/0.89 (assume @p182 (forall @t227 (or @t226 (not @t310)))) % 0.51/0.89 (assume @p183 (forall @t311 (= (tptp.c_Relation_OField @t309 @t1) @t231))) % 0.51/0.89 (assume @p184 (forall @t306 (= (tptp.hAPP @t303 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t44 @t38)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t305 @t304 @t14)))) % 0.51/0.89 (assume @p185 (forall @t320 (or @t319 @t317 @t314 @t175 @t312))) % 0.51/0.89 (assume @p186 (forall @t24 (tptp.c_Relation_Oantisym @t119 @t1))) % 0.51/0.89 (assume @p187 (forall (@list @t12 @t1) (= (tptp.c_Relation_ORange @t321 @t12 @t1) @t19))) % 0.51/0.89 (assume @p188 (forall @t326 (or @t325 @t324 @t322))) % 0.51/0.89 (assume @p189 (forall @t326 (or @t325 @t327 @t322))) % 0.51/0.89 (assume @p190 (forall @t326 (or @t325 @t324 @t328))) % 0.51/0.89 (assume @p191 (forall @t326 (or @t325 @t327 @t328))) % 0.51/0.89 (assume @p192 (forall @t330 (or (tptp.c_lessequals @t86 @t56 @t55) @t329))) % 0.51/0.89 (assume @p193 (forall @t87 (or @t134 (not (tptp.c_lessequals @t17 @t132 @t55))))) % 0.51/0.89 (assume @p194 (forall @t51 (or @t173 (not (tptp.c_lessequals @t6 @t19 @t2))))) % 0.51/0.89 (assume @p195 (forall @t24 (tptp.c_lessequals @t19 @t19 @t2))) % 0.51/0.89 (assume @p196 (forall (@list @t1 @t77 @t6) (not (= @t19 @t122)))) % 0.51/0.89 (assume @p197 (forall @t24 (tptp.c_Relation_Orefl__on @t19 @t119 @t1))) % 0.51/0.89 (assume @p198 (forall @t114 (or (= @t242 (tptp.c_Set_Oinsert @t77 @t169 @t1)) (not @t241)))) % 0.51/0.89 (assume @p199 (forall @t115 (or (= @t240 @t124) @t331))) % 0.51/0.89 (assume @p200 (forall @t311 (tptp.c_Relation_Ototal__on @t19 @t17 @t1))) % 0.51/0.89 (assume @p201 (forall @t334 (or (tptp.c_lessequals @t8 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t332 @t2) @t2) @t333 @t205))) % 0.51/0.89 (assume @p202 (forall @t183 (or @t166 @t335))) % 0.51/0.89 (assume @p203 (forall @t183 (or @t166 @t336))) % 0.51/0.89 (assume @p204 (forall @t70 (or @t168 @t258 @t221 @t192))) % 0.51/0.89 (assume @p205 (forall @t255 (or @t168 @t252 @t338 @t337))) % 0.51/0.89 (assume @p206 (forall @t183 (or @t168 @t336))) % 0.51/0.89 (assume @p207 (forall @t183 (or @t168 @t335))) % 0.51/0.89 (assume @p208 (forall @t190 (tptp.c_lessequals @t72 @t6 @t2))) % 0.51/0.89 (assume @p209 (forall @t190 (tptp.c_lessequals @t72 @t4 @t2))) % 0.51/0.89 (assume @p210 (forall (@list @t3 @t6 @t4 @t1) (or @t248 (not @t250) @t143))) % 0.51/0.89 (assume @p211 (forall @t158 (= (tptp.c_Product__Type_OSigma @t8 @t155 @t1 @t12) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t157 @t156 @t14)))) % 0.51/0.89 (assume @p212 (forall @t65 (or @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t163 @t21 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t262 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t21 @t1) @t1))))) % 0.51/0.89 (assume @p213 (forall @t70 (or @t64 (= @t182 @t181)))) % 0.51/0.89 (assume @p214 (forall @t11 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t169 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t10 @t2)))) % 0.51/0.89 (assume @p215 (forall @t76 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t169 @t6 @t2) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t261 @t230 @t2)))) % 0.51/0.89 (assume @p216 (forall @t339 (or @t96 @t100 @t177))) % 0.51/0.89 (assume @p217 (forall @t183 (or @t166 @t340))) % 0.51/0.89 (assume @p218 (forall @t183 (or @t168 @t340))) % 0.51/0.89 (assume @p219 (forall @t190 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t72 @t2) @t72))) % 0.51/0.89 (assume @p220 (forall @t87 (or (tptp.c_lessequals @t231 @t247 @t2) @t85))) % 0.51/0.89 (assume @p221 (forall @t35 (or (= @t140 @t139) (not (tptp.c_Relation_Osingle__valued (tptp.hAPP @t303 @t28) @t1 @t12))))) % 0.51/0.89 (assume @p222 (forall @t270 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t6 @t4 @t38) @t12 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t269 @t268 @t2)))) % 0.51/0.89 (assume @p223 (forall (@list @t17 @t39 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t39 @t55) @t1) @t103))) % 0.51/0.89 (assume @p224 (forall (@list @t39 @t17 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t17 @t55) @t1) @t103))) % 0.51/0.89 (assume @p225 (forall @t50 (or @t168 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t21 @t1) @t21)))) % 0.51/0.89 (assume @p226 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t6 @t2) @t6))) % 0.51/0.89 (assume @p227 (forall @t227 (= @t231 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t154 @t341 @t2)))) % 0.51/0.89 (assume @p228 (forall @t65 (or @t49 @t222 @t342))) % 0.51/0.89 (assume @p229 (forall @t260 (or @t49 @t220 @t342))) % 0.51/0.89 (assume @p230 (forall @t255 (or @t49 @t343 @t338))) % 0.51/0.89 (assume @p231 (forall @t255 (or @t49 @t343 @t337))) % 0.51/0.89 (assume @p232 (forall (@list @t1 @t79 @t21 @t77) (or @t49 @t211 @t344))) % 0.51/0.89 (assume @p233 (forall (@list @t1 @t77 @t21 @t79) (or @t49 @t209 @t344))) % 0.51/0.89 (assume @p234 (forall @t185 (or @t204 @t345))) % 0.51/0.89 (assume @p235 (forall @t76 (or @t206 @t345))) % 0.51/0.89 (assume @p236 (forall (@list @t1 @t60 @t21 @t61) (or @t196 @t219 (not (tptp.c_lessequals @t60 @t61 @t1)) @t194))) % 0.51/0.89 (assume @p237 (forall @t260 (or @t346 @t220 @t223 @t192))) % 0.51/0.89 (assume @p238 (forall @t297 (tptp.c_lessequals @t21 @t21 @t2))) % 0.51/0.89 (assume @p239 (forall @t51 (tptp.c_lessequals @t6 @t6 @t2))) % 0.51/0.89 (assume @p240 (forall @t185 (or @t204 @t207 @t100))) % 0.51/0.89 (assume @p241 (forall @t349 (or @t348 @t302 @t347))) % 0.51/0.89 (assume @p242 (forall (@list @t350 @t1 @t17) (or (tptp.c_Wellfounded_Owf @t350 @t1) (not (tptp.c_lessequals @t350 @t17 @t55)) @t103))) % 0.51/0.89 (assume @p243 (forall @t50 (or @t196 @t351))) % 0.51/0.89 (assume @p244 (forall @t50 (or @t346 @t351))) % 0.51/0.89 (assume @p245 (forall @t87 (or @t352 (not (tptp.c_Relation_Oantisym @t44 @t1)) @t85))) % 0.51/0.89 (assume @p246 (forall @t349 (or @t348 @t347 @t302))) % 0.51/0.89 (assume @p247 (forall @t87 (or @t226 @t85 (not (tptp.c_Wellfounded_Oacyclic @t44 @t1))))) % 0.51/0.89 (assume @p248 (forall @t354 (or @t159 (not (tptp.c_Relation_Osingle__valued @t44 @t1 @t12)) @t353))) % 0.51/0.89 (assume @p249 (forall @t334 (or (tptp.c_lessequals @t72 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t332 @t2) @t2) @t333 @t205))) % 0.51/0.89 (assume @p250 (forall @t297 (tptp.c_in @t21 @t22 @t1))) % 0.51/0.89 (assume @p251 (forall @t227 (tptp.c_lessequals @t86 (tptp.c_Product__Type_OSigma @t231 (tptp.c_COMBK @t231 @t2 @t1) @t1 @t1) @t55))) % 0.51/0.89 (assume @p252 (forall @t354 (or (tptp.c_lessequals @t267 (tptp.c_Relation_ODomain @t44 @t1 @t12) @t2) @t353))) % 0.51/0.89 (assume @p253 (forall (@list @t6 @t21 @t1) (or (= @t6 @t22) @t173 (not (tptp.c_lessequals @t6 @t22 @t2))))) % 0.51/0.89 (assume @p254 (forall (@list @t6 @t12 @t1) (= (tptp.c_Product__Type_OSigma @t6 (tptp.c_COMBK @t125 @t15 @t1) @t1 @t12) @t27))) % 0.51/0.89 (assume @p255 (forall @t99 (or @t272 @t152 @t153))) % 0.51/0.89 (assume @p256 (forall (@list @t77 @t3 @t1 @t332) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t77 @t3 @t1) (tptp.c_Set_Oinsert @t77 @t332 @t1) @t2) (not (tptp.c_lessequals @t3 @t332 @t2))))) % 0.51/0.89 (assume @p257 (forall @t24 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t19 @t2) @t19))) % 0.51/0.89 (assume @p258 (forall @t24 (= (tptp.c_Transitive__Closure_Otrancl @t119 @t1) @t119))) % 0.51/0.89 (assume @p259 (forall @t356 (or (not (= @t355 @t19)) (= @t17 @t321)))) % 0.51/0.89 (assume @p260 (forall (@list @t39 @t357 @t1 @t12 @t17 @t6) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t39 @t357 @t1 @t12) @t358 @t15) (not (tptp.c_lessequals @t357 @t6 @t2)) @t40))) % 0.51/0.89 (assume @p261 (forall @t58 (or @t57 @t312))) % 0.51/0.89 (assume @p262 (forall @t218 (or (not (tptp.class_Orderings_Olinorder @t1)) @t193 @t191))) % 0.51/0.89 (assume @p263 (forall @t365 (or @t105 (tptp.c_in (tptp.c_Pair @t364 @t363 @t1 @t1) @t17 @t54) @t362 @t360))) % 0.51/0.89 (assume @p264 (forall @t369 (or @t361 (tptp.c_in (tptp.c_Pair @t368 @t367 @t1 @t1) @t17 @t54) @t366 @t360))) % 0.51/0.89 (assume @p265 (forall @t87 (or (tptp.c_lessequals @t133 @t44 @t55) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t133 @t44 @t55) @t17 @t1 @t1 @t1) @t44 @t55)) (not (tptp.c_lessequals @t23 @t44 @t55))))) % 0.51/0.89 (assume @p266 (forall (@list @t61 @t60 @t21 @t1 @t12 @t17) (or @t370 (not (tptp.c_in (tptp.c_Pair @t21 @t60 @t1 @t12) @t17 @t13)) (not (tptp.c_in (tptp.c_Pair @t21 @t61 @t1 @t12) @t17 @t13)) @t160))) % 0.51/0.89 (assume @p267 (forall @t94 (or (not (= @t91 @t90)) @t88 @t189))) % 0.51/0.89 (assume @p268 (forall @t372 (or @t371 (not (tptp.c_in @t21 @t110 @t54))))) % 0.51/0.89 (assume @p269 (forall @t372 (or @t371 (not (tptp.c_in @t21 @t109 @t54))))) % 0.51/0.89 (assume @p270 (forall (@list @t350 @t44 @t1 @t17) (or (tptp.c_in @t350 (tptp.c_Transitive__Closure_Otrancl @t44 @t1) @t54) @t85 (not @t373)))) % 0.51/0.89 (assume @p271 (forall @t112 (or @t375 (not @t145)))) % 0.51/0.89 (assume @p272 (forall @t146 (or @t145 (not @t375)))) % 0.51/0.89 (assume @p273 (forall @t376 (or (not (= @t374 @t119)) @t29))) % 0.51/0.89 (assume @p274 (forall @t227 (= @t86 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 (tptp.c_Relation_Orel__comp @t86 @t17 @t1 @t1 @t1) @t55)))) % 0.51/0.89 (assume @p275 (forall @t376 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t23 @t55) @t110))) % 0.51/0.89 (assume @p276 (forall @t376 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t23 @t55) @t1) @t110))) % 0.51/0.89 (assume @p277 (forall @t24 (= (tptp.c_Transitive__Closure_Ortrancl @t119 @t1) @t23))) % 0.51/0.89 (assume @p278 (forall @t227 (or (tptp.c_Relation_Oantisym @t133 @t1) @t307))) % 0.51/0.89 (assume @p279 (forall @t227 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t309 @t55) @t1))) % 0.51/0.89 (assume @p280 (forall @t227 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t309 @t55) @t1))) % 0.51/0.89 (assume @p281 (forall (@list @t6 @t1 @t4) (= (tptp.c_Relation_OImage @t59 @t4 @t1 @t1) @t72))) % 0.51/0.89 (assume @p282 (forall @t227 (or @t352 (not @t378)))) % 0.51/0.89 (assume @p283 (forall @t227 (or @t378 @t379))) % 0.51/0.89 (assume @p284 (forall @t320 (or (not @t319) @t314 @t175 @t312 @t316))) % 0.51/0.89 (assume @p285 (forall (@list @t77 @t6 @t1 @t79 @t17) (or @t239 @t228 @t329 @t360))) % 0.51/0.89 (assume @p286 (forall @t384 (or (tptp.c_lessequals @t383 @t382 @t2) @t381 @t312))) % 0.51/0.89 (assume @p287 (forall (@list @t1 @t17 @t21) (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t309 @t133 @t55) @t119)) @t386))) % 0.51/0.89 (assume @p288 (forall (@list @t17 @t77 @t1 @t79) (or @t388 (not (tptp.c_in @t79 @t231 @t1)) (not (tptp.c_in @t77 @t231 @t1)) @t379 (not (tptp.c_Relation_Orefl__on @t231 @t17 @t1)) @t228))) % 0.51/0.89 (assume @p289 (forall @t394 (or @t393 (not (tptp.c_in @t392 (tptp.hAPP @t390 @t391) @t389))))) % 0.51/0.89 (assume @p290 (forall @t396 (or @t393 (tptp.c_in @t392 (tptp.hAPP @t391 @t395) @t389)))) % 0.51/0.89 (assume @p291 (forall (@list @t6 @t4 @t286 @t1 @t12) (or (tptp.c_in (tptp.c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1 @t6 @t4 @t286 @t1 @t12) @t6 @t1) (not (tptp.c_in @t286 @t397 @t13))))) % 0.51/0.89 (assume @p292 (forall @t399 (or (tptp.c_in (tptp.c_Pair @t398 @t79 @t1 @t1) @t17 @t54) @t228 @t360))) % 0.51/0.89 (assume @p293 (forall @t404 (or (tptp.c_in (tptp.c_Pair @t403 @t60 @t1 @t1) @t133 @t54) @t402 @t401))) % 0.51/0.89 (assume @p294 (forall @t405 (or (tptp.c_in (tptp.c_Pair @t21 @t403 @t1 @t1) @t17 @t54) @t402 @t401))) % 0.51/0.89 (assume @p295 (forall @t365 (or @t105 (tptp.hBOOL (tptp.hAPP @t25 @t363)) @t362 @t360))) % 0.51/0.89 (assume @p296 (forall @t365 (or @t105 (tptp.c_in (tptp.c_Pair @t363 @t79 @t1 @t1) @t133 @t54) @t362 @t360))) % 0.51/0.89 (assume @p297 (forall @t369 (or @t361 (tptp.c_in (tptp.c_Pair @t77 @t368 @t1 @t1) @t133 @t54) @t366 @t360))) % 0.51/0.89 (assume @p298 (forall @t369 (or @t361 (not (tptp.hBOOL (tptp.hAPP @t25 @t367))) @t366 @t360))) % 0.51/0.89 (assume @p299 (forall (@list @t60 @t61 @t1 @t17 @t21) (or (tptp.c_in (tptp.c_Pair @t60 @t61 @t1 @t1) @t133 @t54) (tptp.c_in @t408 @t133 @t54) @t401 @t407 (not (tptp.c_Relation_Osingle__valued @t17 @t1 @t1))))) % 0.51/0.89 (assume @p300 (forall @t417 (or (tptp.c_in (tptp.c_Pair @t412 @t416 tptp.t_a tptp.t_a) @t410 @t409) @t415 @t414))) % 0.51/0.89 (assume @p301 (forall @t369 (or @t361 (tptp.hBOOL (tptp.hAPP @t25 @t368)) @t366 @t360))) % 0.51/0.89 (assume @p302 (forall @t417 (or (tptp.c_in (tptp.c_Pair @t416 @t411 tptp.t_a tptp.t_a) @t17 @t409) @t415 @t414))) % 0.51/0.89 (assume @p303 (forall @t365 (or @t105 (not (tptp.hBOOL (tptp.hAPP @t25 @t364))) @t362 @t360))) % 0.51/0.89 (assume @p304 (forall @t399 (or (tptp.c_in (tptp.c_Pair @t77 @t398 @t1 @t1) @t133 @t54) @t228 @t360))) % 0.51/0.89 (assume @p305 (forall @t419 (or @t105 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t271 @t1 @t1) @t17 @t54)) @t103))) % 0.51/0.89 (assume @p306 (forall (@list @t25 @t20 @t61 @t17 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t20)) @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t186 @t1 @t1) @t17 @t54)) @t103))) % 0.51/0.89 (assume @p307 (forall (@list @t25 @t420 @t61 @t28 @t1) (or (tptp.hBOOL (tptp.hAPP @t25 @t420)) @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t31 @t1 @t1) @t28 @t54)) @t30))) % 0.51/0.89 (assume @p308 (forall @t419 (or @t105 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t104 @t1 @t1) @t17 @t54)) @t103))) % 0.51/0.89 (assume @p309 (forall @t423 (or (not @t422) (tptp.c_in (tptp.c_Pair @t421 @t421 @t1 @t1) @t86 @t54)))) % 0.51/0.89 (assume @p310 (forall @t404 (or (tptp.c_in (tptp.c_Pair @t427 @t60 @t1 @t1) @t86 @t54) @t426 @t425))) % 0.51/0.89 (assume @p311 (forall @t417 (or (tptp.c_in (tptp.c_Pair @t412 @t431 tptp.t_a tptp.t_a) @t428 @t409) @t430 @t429))) % 0.51/0.89 (assume @p312 (forall @t423 (or @t386 @t307))) % 0.51/0.89 (assume @p313 (forall @t399 (or (tptp.c_in (tptp.c_Pair @t434 @t79 @t1 @t1) @t17 @t54) @t380 @t433))) % 0.51/0.89 (assume @p314 (forall @t399 (or (tptp.c_in (tptp.c_Pair @t77 @t434 @t1 @t1) @t86 @t54) @t380 @t433))) % 0.51/0.89 (assume @p315 (forall @t405 (or (tptp.c_in (tptp.c_Pair @t21 @t427 @t1 @t1) @t17 @t54) @t426 @t425))) % 0.51/0.89 (assume @p316 (forall @t417 (or (tptp.c_in (tptp.c_Pair @t431 @t411 tptp.t_a tptp.t_a) @t17 @t409) @t430 @t429))) % 0.51/0.89 (assume @p317 (forall (@list @t77 @t79 @t1 @t17 @t6) (or @t380 @t435 (not (tptp.c_lessequals @t382 @t383 @t2)) @t312))) % 0.51/0.89 (assume @p318 (forall (@list @t77 @t79 @t1 @t17 @t21 @t6) (or @t380 (not (tptp.c_in @t21 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t383 @t382 @t2) @t1)) @t312))) % 0.51/0.89 (assume @p319 (forall @t438 (or (tptp.c_in (tptp.c_Pair @t437 @t286 @t41 @t12) @t44 @t116) @t436))) % 0.51/0.89 (assume @p320 (forall @t438 (or (tptp.c_in (tptp.c_Pair @t77 @t437 @t1 @t41) @t17 @t46) @t436))) % 0.51/0.89 (assume @p321 (forall @t441 (or @t440 (tptp.c_in @t439 @t6 @t1)))) % 0.51/0.89 (assume @p322 (forall @t441 (or @t440 (tptp.c_in @t442 @t6 @t1)))) % 0.51/0.89 (assume @p323 (forall @t441 (or @t440 (not (tptp.c_in (tptp.hAPP @t275 @t439) (tptp.hAPP @t4 @t439) @t12))))) % 0.51/0.89 (assume @p324 (forall @t443 (or (tptp.c_in @t285 @t4 @t12) @t175 (not (tptp.c_in @t275 (tptp.c_FuncSet_OPi @t6 @t16 @t1 @t12) @t283))))) % 0.51/0.89 (assume @p325 (forall @t441 (or @t440 (not (tptp.c_in (tptp.hAPP @t275 @t442) (tptp.hAPP @t4 @t442) @t12))))) % 0.51/0.89 (assume @p326 (forall (@list @t350 @t1) (or (= @t350 (tptp.c_Pair @t444 @t444 @t1 @t1)) (not (tptp.c_in @t350 @t23 @t54))))) % 0.51/0.89 (assume @p327 (forall @t227 (or @t102 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1 @t17 @t1) @t445 @t1))))) % 0.51/0.89 (assume @p328 (forall @t227 (or @t102 (not (tptp.c_in (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1 @t17 @t1) @t445 @t1))))) % 0.51/0.89 (assume @p329 (forall (@list @t6 @t286 @t1) (or (tptp.c_in @t447 @t6 @t1) @t446))) % 0.51/0.89 (assume @p330 (forall (@list @t286 @t6 @t1) (or (= @t286 (tptp.c_Pair @t447 @t447 @t1 @t1)) @t446))) % 0.51/0.89 (assume @p331 (forall (@list @t275 @t17 @t21 @t1 @t12 @t274) (or @t276 (tptp.c_in (tptp.c_Pair @t277 @t21 @t1 @t1) @t17 @t54)))) % 0.51/0.89 (assume @p332 (forall @t227 (= @t448 @t133))) % 0.51/0.89 (assume @p333 (forall @t227 (= (tptp.c_Transitive__Closure_Otrancl @t377 @t1) @t133))) % 0.51/0.89 (assume @p334 (forall @t227 (= @t133 @t448))) % 0.51/0.89 (assume @p335 (forall @t396 (or @t454 @t453 (not @t451)))) % 0.51/0.89 (assume @p336 (forall @t396 (or @t454 @t451 (not @t453)))) % 0.51/0.89 (assume @p337 (forall @t394 (or @t454 (not @t456) (not @t455)))) % 0.51/0.89 (assume @p338 (forall @t394 (or @t454 @t456 @t455))) % 0.51/0.89 (assume @p339 (forall @t227 (= @t133 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t23 @t457 @t55)))) % 0.51/0.89 (assume @p340 (forall @t330 (or (tptp.c_lessequals @t17 @t458 @t55) @t53))) % 0.51/0.89 (assume @p341 (forall @t459 (or @t407 @t281))) % 0.51/0.89 (assume @p342 (forall @t460 (or @t280 @t406 @t307))) % 0.51/0.89 (assume @p343 (forall (@list @t77 @t17 @t1 @t6) (or (tptp.c_in @t77 @t383 @t1) @t331 @t312))) % 0.51/0.89 (assume @p344 (forall @t464 (or @t463 (not @t461)))) % 0.51/0.89 (assume @p345 (forall (@list @t79 @t17 @t77 @t12 @t1) (or @t461 (not @t463)))) % 0.51/0.89 (assume @p346 (forall @t466 (or @t465 @t317 @t312))) % 0.51/0.89 (assume @p347 (forall @t384 (or @t387 @t381 @t312))) % 0.51/0.89 (assume @p348 (forall @t384 (or @t388 @t380 @t435 @t312))) % 0.51/0.89 (assume @p349 (forall @t466 (or @t467 @t312 @t316 @t314 @t175))) % 0.51/0.89 (assume @p350 (forall @t466 (or @t465 @t317 @t314 @t175 @t312))) % 0.51/0.89 (assume @p351 (forall @t466 (or @t467 @t314 @t175 @t312 @t316))) % 0.51/0.89 (assume @p352 (forall @t472 (or (tptp.c_in (tptp.c_Pair @t21 @t471 @t1 @t1) @t28 @t54) @t470))) % 0.51/0.89 (assume @p353 (forall @t474 (or (tptp.c_in (tptp.c_Pair @t473 @t61 @t1 @t1) @t28 @t54) @t470))) % 0.51/0.89 (assume @p354 (forall @t106 (or @t105 (tptp.c_in @t477 @t445 @t1) @t476))) % 0.51/0.89 (assume @p355 (forall @t480 (or @t479 (not (tptp.c_in @t478 @t445 @t1))))) % 0.51/0.89 (assume @p356 (forall @t484 (or @t298 (not (tptp.hBOOL (tptp.hAPP @t25 @t483))) @t482))) % 0.51/0.89 (assume @p357 (forall @t106 (or @t105 (not (tptp.hBOOL (tptp.hAPP @t25 @t485))) @t476))) % 0.51/0.89 (assume @p358 (forall @t489 (or (not (tptp.c_in @t488 @t486 @t1)) @t487))) % 0.51/0.89 (assume @p359 (forall @t106 (or @t105 (tptp.c_in @t485 @t445 @t1) @t476))) % 0.51/0.89 (assume @p360 (forall @t484 (or @t298 (not (tptp.hBOOL (tptp.hAPP @t25 @t490))) @t482))) % 0.51/0.89 (assume @p361 (forall @t106 (or @t105 (not (tptp.hBOOL (tptp.hAPP @t25 @t477))) @t476))) % 0.51/0.89 (assume @p362 (forall @t494 (or (tptp.c_in @t493 @t6 @t12) @t492))) % 0.51/0.89 (assume @p363 (forall @t494 (or (tptp.c_in @t495 @t6 @t12) @t492))) % 0.51/0.89 (assume @p364 (forall @t282 (or @t102 @t497))) % 0.51/0.89 (assume @p365 (forall (@list @t26 @t28 @t1 @t21) (or (tptp.c_in @t499 @t26 @t1) @t498 @t30))) % 0.51/0.89 (assume @p366 (forall (@list @t26 @t17 @t1 @t20) (or (tptp.c_in @t501 @t26 @t1) @t500 @t103))) % 0.51/0.89 (assume @p367 (forall (@list @t275 @t506 @t509 @t505 @t508 @t12 @t502 @t1 @t503 @t41) (or (= (tptp.hAPP (tptp.hAPP @t275 @t506) @t509) (tptp.hAPP (tptp.hAPP @t275 @t505) @t508)) (not (tptp.c_in (tptp.c_Pair @t509 @t508 @t12 @t12) @t502 @t507)) (not (tptp.c_in (tptp.c_Pair @t506 @t505 @t1 @t1) @t503 @t54)) @t504))) % 0.51/0.89 (assume @p368 (forall @t396 (or (not (= (tptp.hAPP @t390 @t511) (tptp.hAPP @t511 @t395))) @t510))) % 0.51/0.89 (assume @p369 (forall @t512 (tptp.hBOOL (tptp.hAPP @t95 @t21)))) % 0.51/0.89 (assume @p370 (forall @t513 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t172 @t17 @t13) @t1 @t12) (tptp.c_Set_Oinsert @t77 @t267 @t1)))) % 0.51/0.89 (assume @p371 (forall (@list @t6 @t21 @t61 @t1) (or @t148 @t516 (not @t515)))) % 0.51/0.89 (assume @p372 (forall @t512 (= (tptp.c_Set_Oinsert @t21 @t95 @t1) @t95))) % 0.51/0.89 (assume @p373 (forall (@list @t21 @t61 @t6 @t1) (= (tptp.c_Set_Oinsert @t21 @t514 @t1) (tptp.c_Set_Oinsert @t61 @t95 @t1)))) % 0.51/0.89 (assume @p374 (forall (@list @t61 @t6 @t1 @t21) (or @t515 @t153))) % 0.51/0.89 (assume @p375 (forall @t464 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t462 @t17 @t37) @t12 @t1) (tptp.c_Set_Oinsert @t79 @t355 @t1)))) % 0.51/0.89 (assume @p376 (forall (@list @t77 @t79 @t6 @t1) (or @t517 @t331))) % 0.51/0.89 (assume @p377 (forall (@list @t77 @t79 @t4 @t1) (or (tptp.c_in @t77 @t101 @t1) (not (tptp.c_in @t77 @t4 @t1))))) % 0.51/0.89 (assume @p378 (forall (@list @t77 @t6 @t1 @t79) (or @t239 @t228 (not @t517)))) % 0.51/0.89 (assume @p379 (forall @t512 (tptp.c_in @t21 @t95 @t1))) % 0.51/0.89 (assume @p380 (forall (@list @t77 @t4 @t1) (tptp.c_in @t77 @t113 @t1))) % 0.51/0.89 (assume @p381 (forall (@list @t21 @t4 @t1) (tptp.c_in @t21 @t235 @t1))) % 0.51/0.89 (assume @p382 (forall @t339 (or (not (= @t95 @t235)) @t176 @t174 @t189))) % 0.51/0.89 (assume @p383 (forall @t123 (or (= @t122 @t6) @t331))) % 0.51/0.89 (assume @p384 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.hAPP (tptp.c_Relation_Oconverse tptp.t_a tptp.t_b) tptp.v_r) tptp.t_b tptp.t_a))) % 0.51/0.89 (assume @p385 (forall (@list @t502 @t275 @t77 @t12 @t41 @t6 @t1 @t503) (or (tptp.c_Equiv__Relations_Ocongruent @t502 (tptp.hAPP @t275 @t77) @t12 @t41) @t331 @t504 (not (tptp.c_Equiv__Relations_Oequiv @t6 @t503 @t1))))) % 0.51/0.89 (assume @p386 (forall @t394 (or @t454 (tptp.c_in @t449 tptp.c_Arrow__Order__Mirabelle_OProf @t519)))) % 0.51/0.89 (assume @p387 (forall @t394 (or @t454 (tptp.c_in @t452 tptp.c_Arrow__Order__Mirabelle_OProf @t519)))) % 0.51/0.89 (assume @p388 (forall @t396 (or @t510 (tptp.c_in @t511 tptp.c_Arrow__Order__Mirabelle_OProf @t519)))) % 0.51/0.89 (assume @p389 (forall @t227 (or @t521 (not (tptp.c_in (tptp.c_Pair @t520 @t520 @t1 @t1) @t17 @t54))))) % 0.51/0.89 (assume @p390 (forall @t394 (or @t393 (tptp.c_in @t391 tptp.c_Arrow__Order__Mirabelle_OProf @t519)))) % 0.51/0.89 (assume @p391 (forall (@list @t61 @t26 @t1 @t17 @t20) (or @t522 (not (tptp.c_in (tptp.c_Pair @t61 @t501 @t1 @t1) @t17 @t54)) @t500 @t103))) % 0.51/0.89 (assume @p392 (forall (@list @t61 @t26 @t1 @t28 @t21) (or @t522 (not (tptp.c_in (tptp.c_Pair @t61 @t499 @t1 @t1) @t28 @t54)) @t498 @t30))) % 0.51/0.89 (assume @p393 (forall @t494 (or (tptp.c_in (tptp.c_Pair @t493 @t79 @t12 @t1) @t17 @t37) @t492))) % 0.51/0.89 (assume @p394 (forall @t494 (or (tptp.c_in (tptp.c_Pair @t495 @t79 @t12 @t1) @t17 @t37) @t492))) % 0.51/0.89 (assume @p395 (forall @t525 (or (tptp.c_in (tptp.c_Pair @t77 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t77 @t17 @t1 @t12) @t1 @t12) @t17 @t13) @t524))) % 0.51/0.89 (assume @p396 (forall @t525 (or (tptp.c_in (tptp.c_Pair @t77 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t77 @t17 @t1 @t12) @t1 @t12) @t17 @t13) @t524))) % 0.51/0.89 (assume @p397 (forall @t528 (or @t298 @t527 (not (tptp.c_in (tptp.c_Pair @t526 @t483 tptp.t_a tptp.t_a) @t17 @t409)) @t482))) % 0.51/0.89 (assume @p398 (forall @t528 (or @t298 @t527 (not (tptp.c_in (tptp.c_Pair @t526 @t490 tptp.t_a tptp.t_a) @t17 @t409)) @t482))) % 0.51/0.89 (assume @p399 (forall @t480 (or @t479 (tptp.c_in (tptp.c_Pair @t478 @t21 @t1 @t1) @t17 @t54)))) % 0.51/0.89 (assume @p400 (forall @t419 (or @t105 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t477 @t1 @t1) @t17 @t54)) @t476))) % 0.51/0.89 (assume @p401 (forall @t529 (or @t298 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t490 tptp.t_a tptp.t_a) @t17 @t409)) @t482))) % 0.51/0.89 (assume @p402 (forall @t529 (or @t298 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t483 tptp.t_a tptp.t_a) @t17 @t409)) @t482))) % 0.51/0.89 (assume @p403 (forall @t419 (or @t105 @t418 (not (tptp.c_in (tptp.c_Pair @t61 @t485 @t1 @t1) @t17 @t54)) @t476))) % 0.51/0.89 (assume @p404 (forall @t489 (or (tptp.c_in (tptp.c_Pair @t488 @t21 @t1 @t1) @t28 @t54) @t487))) % 0.51/0.89 (assume @p405 (forall @t460 (or @t496 @t406 @t103))) % 0.51/0.89 (assume @p406 (forall @t459 (or @t407 @t497))) % 0.51/0.89 (assume @p407 (forall @t525 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t77 @t17 @t1 @t12) @t77 @t12 @t1) @t17 @t37) (not @t530)))) % 0.51/0.89 (assume @p408 (forall (@list @t79 @t17 @t1 @t12) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t79 @t17 @t1 @t12) @t79 @t12 @t1) @t17 @t37) (not (tptp.c_in @t79 @t355 @t1))))) % 0.51/0.89 (assume @p409 (forall @t474 (or (tptp.c_in (tptp.c_Pair @t471 @t61 @t1 @t1) @t110 @t54) @t470))) % 0.51/0.89 (assume @p410 (forall @t472 (or (tptp.c_in (tptp.c_Pair @t21 @t473 @t1 @t1) @t110 @t54) @t470))) % 0.51/0.89 (assume @p411 (forall @t535 (or @t534 @t532 @t360))) % 0.51/0.89 (assume @p412 (forall @t535 (or @t537 @t536 @t381))) % 0.51/0.89 (assume @p413 (forall @t535 (or @t537 @t532 @t433))) % 0.51/0.89 (assume @p414 (forall (@list @t275 @t17 @t77 @t1 @t12 @t21) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t275 @t17 @t77 @t1 @t12) @t21) @t285) @t539))) % 0.51/0.89 (assume @p415 (forall (@list @t275 @t28 @t77 @t1 @t12 @t21) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t275 @t28 @t77 @t1 @t12) @t21) @t285) (not (tptp.c_in @t538 @t28 @t54))))) % 0.51/0.89 (assume @p416 (forall @t543 (or @t195 @t542 @t540))) % 0.51/0.89 (assume @p417 (forall (@list @t21 @t28 @t1) (or @t540 @t544))) % 0.51/0.89 (assume @p418 (forall @t548 (or @t547 @t546 @t476))) % 0.51/0.89 (assume @p419 (forall @t548 (or @t547 @t476 @t546))) % 0.51/0.89 (assume @p420 (forall @t227 (or @t127 (not @t549)))) % 0.51/0.89 (assume @p421 (forall @t311 (or @t549 @t128))) % 0.51/0.89 (assume @p422 (forall @t551 (or @t52 (not @t550)))) % 0.51/0.89 (assume @p423 (forall @t552 (or @t550 @t53))) % 0.51/0.89 (assume @p424 (forall @t311 (or @t553 @t128))) % 0.51/0.89 (assume @p425 (forall @t311 (or (not @t553) @t127))) % 0.51/0.89 (assume @p426 (forall (@list @t12 @t1 @t17 @t44 @t41) (= (tptp.hAPP @t303 (tptp.c_Relation_Orel__comp @t17 @t44 @t12 @t41 @t1)) (tptp.c_Relation_Orel__comp (tptp.hAPP (tptp.c_Relation_Oconverse @t41 @t1) @t44) (tptp.hAPP (tptp.c_Relation_Oconverse @t12 @t41) @t17) @t1 @t41 @t12)))) % 0.51/0.89 (assume @p427 (forall @t24 (= (tptp.hAPP @t308 @t23) @t23))) % 0.51/0.89 (assume @p428 (forall (@list @t1 @t28 @t275 @t12) (= (tptp.hAPP @t308 (tptp.c_Relation_Oinv__image @t28 @t275 @t12 @t1)) (tptp.c_Relation_Oinv__image (tptp.hAPP (tptp.c_Relation_Oconverse @t12 @t12) @t28) @t275 @t12 @t1)))) % 0.51/0.89 (assume @p429 (forall @t311 (= @t555 @t554))) % 0.51/0.89 (assume @p430 (forall @t118 (= (tptp.hAPP @t308 @t59) @t59))) % 0.51/0.89 (assume @p431 (forall @t227 (or @t352 (not @t556)))) % 0.51/0.89 (assume @p432 (forall @t311 (or @t556 @t379))) % 0.51/0.89 (assume @p433 (forall @t311 (= @t557 (tptp.hAPP @t308 @t133)))) % 0.51/0.89 (assume @p434 (forall @t551 (or @t559 (not @t558)))) % 0.51/0.89 (assume @p435 (forall @t552 (or @t558 @t560))) % 0.51/0.89 (assume @p436 (forall @t562 (or (tptp.c_in @t350 @t133 @t54) @t561))) % 0.51/0.89 (assume @p437 (forall @t562 (or @t373 @t561))) % 0.51/0.89 (assume @p438 (forall @t535 (or @t537 @t563 @t381))) % 0.51/0.89 (assume @p439 (forall @t535 (or @t537 @t532 @t360))) % 0.51/0.89 (assume @p440 (forall @t543 (or @t541 @t470 @t195))) % 0.51/0.89 (assume @p441 (forall @t543 (or @t469 @t195 @t542))) % 0.51/0.89 (assume @p442 (forall (@list @t77 @t79 @t1 @t28) (or (tptp.c_in @t233 @t468 @t54) @t228 (not (tptp.c_in @t233 @t110 @t54))))) % 0.51/0.89 (assume @p443 (forall @t234 (or @t359 @t433))) % 0.51/0.89 (assume @p444 (forall @t535 (or @t537 @t563 @t433))) % 0.51/0.89 (assume @p445 (forall (@list @t21 @t60 @t1 @t17 @t61) (or @t424 (not (tptp.c_in @t408 @t86 @t54)) @t407))) % 0.51/0.89 (assume @p446 (forall @t480 (or @t479 @t103))) % 0.51/0.89 (assume @p447 (forall @t227 (or (tptp.c_Relation_Osym @t86 @t1) @t128))) % 0.51/0.89 (assume @p448 (forall @t227 (= (tptp.c_Relation_ODomain @t86 @t1 @t1) @t154))) % 0.51/0.89 (assume @p449 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.51/0.89 (assume @p450 (forall @t24 (tptp.c_Relation_Osym @t23 @t1))) % 0.51/0.89 (assume @p451 (forall (@list @t1 @t28 @t12) (= (tptp.c_Relation_Orel__comp @t23 @t28 @t1 @t1 @t12) @t28))) % 0.51/0.89 (assume @p452 (forall @t126 (= (tptp.c_Relation_Orel__comp @t28 (tptp.c_Relation_OId @t12) @t1 @t12 @t12) @t28))) % 0.51/0.89 (assume @p453 (forall @t51 (tptp.c_Relation_Oantisym @t59 @t1))) % 0.51/0.89 (assume @p454 (forall @t311 (or (tptp.c_Wellfounded_Owf @t554 @t1) (not (tptp.c_Wellfounded_Owf @t309 @t1))))) % 0.51/0.89 (assume @p455 (forall @t227 (or (tptp.c_Relation_Osym @t133 @t1) @t128))) % 0.51/0.89 (assume @p456 (forall @t376 (or @t564 @t30))) % 0.51/0.89 (assume @p457 (forall @t376 (or @t29 (not @t564)))) % 0.51/0.89 (assume @p458 (forall @t118 (= (tptp.c_Relation_OImage @t23 @t6 @t1 @t1) @t6))) % 0.51/0.89 (assume @p459 (forall @t51 (= (tptp.c_Relation_ODomain @t59 @t1 @t1) @t6))) % 0.51/0.89 (assume @p460 (forall @t227 (= (tptp.c_Relation_ORange @t86 @t1 @t1) @t341))) % 0.51/0.89 (assume @p461 (forall @t51 (tptp.c_Relation_Osym @t59 @t1))) % 0.51/0.89 (assume @p462 (forall @t51 (tptp.c_Relation_Orefl__on @t6 @t59 @t1))) % 0.51/0.89 (assume @p463 (forall @t566 (or (tptp.c_Wellfounded_Owf @t565 @t12) @t103))) % 0.51/0.89 (assume @p464 (forall @t227 (= @t567 @t457))) % 0.51/0.89 (assume @p465 (forall @t566 (or (tptp.c_Relation_Osym @t565 @t12) @t128))) % 0.51/0.89 (assume @p466 (forall @t376 (= (tptp.c_Transitive__Closure_Otrancl @t110 @t1) @t110))) % 0.51/0.89 (assume @p467 (forall @t227 (or (tptp.c_Wellfounded_Owf @t86 @t1) @t103))) % 0.51/0.89 (assume @p468 (forall (@list @t28 @t36 @t1 @t568 @t41 @t246 @t12) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t28 @t36 @t1 @t568 @t41) @t246 @t1 @t41 @t12) (tptp.c_Relation_Orel__comp @t28 (tptp.c_Relation_Orel__comp @t36 @t246 @t568 @t41 @t12) @t1 @t568 @t12)))) % 0.51/0.89 (assume @p469 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.51/0.89 (assume @p470 (forall @t311 (or (not @t569) (tptp.c_Equiv__Relations_Oequiv @t154 @t17 @t1)))) % 0.51/0.89 (assume @p471 (forall @t24 (tptp.c_Relation_Oantisym @t23 @t1))) % 0.51/0.89 (assume @p472 (forall (@list @t1 @t12 @t17) (= (tptp.c_Relation_ORange @t570 @t12 @t1) @t267))) % 0.51/0.89 (assume @p473 (forall @t51 (= (tptp.c_Relation_ORange @t59 @t1 @t1) @t6))) % 0.51/0.89 (assume @p474 (forall (@list @t1 @t17 @t6) (or @t569 @t312))) % 0.51/0.89 (assume @p475 (forall @t376 (= (tptp.c_Relation_Orel__comp @t110 @t110 @t1 @t1 @t1) @t110))) % 0.51/0.89 (assume @p476 (forall @t551 (or @t52 @t312))) % 0.51/0.89 (assume @p477 (forall @t330 (or @t127 @t312))) % 0.51/0.89 (assume @p478 (forall @t572 (= @t571 @t355))) % 0.51/0.89 (assume @p479 (forall @t227 (= @t86 @t457))) % 0.51/0.89 (assume @p480 (forall @t227 (= @t86 @t567))) % 0.51/0.89 (assume @p481 (forall @t356 (= @t355 @t571))) % 0.51/0.89 (assume @p482 (forall @t376 (= (tptp.c_Transitive__Closure_Ortrancl @t468 @t1) @t110))) % 0.51/0.89 (assume @p483 (forall @t227 (= (tptp.c_Transitive__Closure_Ortrancl @t133 @t1) @t133))) % 0.51/0.89 (assume @p484 (forall @t535 (or @t534 @t563 @t381))) % 0.51/0.89 (assume @p485 (forall @t234 (or @t432 @t381))) % 0.51/0.89 (assume @p486 (forall @t535 (or @t534 @t563 @t360))) % 0.51/0.89 (assume @p487 (forall @t574 (tptp.c_in @t573 @t133 @t54))) % 0.51/0.89 (assume @p488 (forall (@list @t21 @t1 @t28) @t544)) % 0.51/0.89 (assume @p489 (forall (@list @t21 @t77 @t1 @t17) (or @t539 (not (tptp.c_in (tptp.c_Pair @t77 @t21 @t1 @t1) @t17 @t54)) @t103))) % 0.51/0.89 (assume @p490 (forall @t459 (or @t195 @t576 @t317 @t379))) % 0.51/0.89 (assume @p491 (forall @t234 (or @t228 (not @t577) @t381 @t379))) % 0.51/0.89 (assume @p492 (forall (@list @t275 @t61 @t60 @t1 @t17 @t12) (or (= @t578 (tptp.hAPP @t275 @t60)) (not (tptp.c_in @t408 @t17 @t54)) (not (tptp.c_Equiv__Relations_Ocongruent @t17 @t275 @t1 @t12))))) % 0.51/0.89 (assume @p493 (forall (@list @t21 @t61 @t1 @t6) (or @t195 @t579))) % 0.51/0.89 (assume @p494 (forall (@list @t275 @t17 @t21 @t1 @t12 @t274 @t61) (or (not @t276) (= @t578 (tptp.hAPP @t274 @t61)) @t576))) % 0.51/0.89 (assume @p495 (forall (@list @t77 @t79 @t1) (or @t228 (not (tptp.c_in @t233 @t23 @t54))))) % 0.51/0.89 (assume @p496 (forall @t423 (or @t422 (not @t521)))) % 0.51/0.89 (assume @p497 (forall @t574 (or (not @t580) @t103))) % 0.51/0.89 (assume @p498 (forall (@list @t21 @t61 @t1 @t17 @t275 @t12) (or @t582 (not @t581)))) % 0.51/0.89 (assume @p499 (forall (@list @t275 @t21 @t61 @t12 @t17 @t1) (or @t581 (not @t582)))) % 0.51/0.89 (assume @p500 (forall @t460 (or @t575 @t317 @t128))) % 0.51/0.89 (assume @p501 (forall (@list @t79 @t77 @t1 @t17) (or @t577 @t381 @t128))) % 0.51/0.89 (assume @p502 (forall (@list @t77 @t286 @t1 @t41 @t17 @t44 @t12 @t79) (or (tptp.c_in (tptp.c_Pair @t77 @t286 @t1 @t41) @t48 @t46) (not (tptp.c_in (tptp.c_Pair @t79 @t286 @t12 @t41) @t44 @t42)) @t583))) % 0.51/0.89 (assume @p503 (forall (@list @t77 @t286 @t1 @t28 @t79) (or (tptp.c_in @t533 @t468 @t54) (not (tptp.c_in @t531 @t28 @t54)) (not (tptp.c_in @t233 @t28 @t54))))) % 0.51/0.89 (assume @p504 (forall @t535 (or @t537 @t536 @t433))) % 0.51/0.89 (assume @p505 (forall @t297 (tptp.c_in @t385 @t23 @t54))) % 0.51/0.89 (assume @p506 (forall @t300 (tptp.c_in @t573 @t23 @t54))) % 0.51/0.89 (assume @p507 (forall @t443 (or @t585 @t175 @t584))) % 0.51/0.89 (assume @p508 (forall (@list @t21 @t6 @t1 @t275 @t4 @t12) (or @t175 @t585 @t584))) % 0.51/0.89 (assume @p509 (forall @t591 (or @t590 @t589 @t195 @t402))) % 0.51/0.89 (assume @p510 (forall @t591 (or @t590 @t589 @t370 @t402))) % 0.51/0.89 (assume @p511 (forall @t594 (not (tptp.c_in @t593 @t592 @t389)))) % 0.51/0.89 (assume @p512 (forall @t595 (not (tptp.c_in @t587 @t592 @t389)))) % 0.51/0.89 (assume @p513 (forall @t591 (or @t588 @t370 (not @t590)))) % 0.51/0.89 (assume @p514 (forall @t595 (or @t195 @t516 (tptp.c_in @t587 @t596 @t389)))) % 0.51/0.89 (assume @p515 (forall @t594 (not (tptp.c_in @t593 @t596 @t389)))) % 0.51/0.89 (assume @p516 (forall @t598 (not (tptp.c_in @t597 @t596 @t389)))) % 0.51/0.89 (assume @p517 (forall @t591 (or @t599 @t589 @t195 @t370))) % 0.51/0.89 (assume @p518 (forall @t591 (or @t599 @t589 @t402 @t370))) % 0.51/0.89 (assume @p519 (forall @t598 (or @t600 @t600 (tptp.c_in @t597 @t592 @t389)))) % 0.51/0.89 (assume @p520 (forall @t591 (or @t588 @t402 (not @t599)))) % 0.51/0.89 (assume @p521 (forall (@list @t77 @t79) (or (tptp.c_in @t601 (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t77 @t79) @t389) @t228))) % 0.51/0.89 (assume @p522 (forall @t615 (or @t614 @t613 @t610 @t607 @t604 @t602 @t228))) % 0.51/0.89 (assume @p523 (forall @t617 (or @t612 @t616 @t610 @t607 @t604 @t602 @t228))) % 0.51/0.89 (assume @p524 (forall @t615 (or @t614 @t613 @t609 @t606 @t604 @t602 @t228))) % 0.51/0.89 (assume @p525 (forall @t617 (or @t612 @t616 @t609 @t606 @t604 @t602 @t228))) % 0.51/0.89 (assume @p526 (forall @t630 (or @t629 @t627 @t625 @t623 @t620 @t619 @t618))) % 0.51/0.89 (assume @p527 (forall @t632 (or @t626 @t631 @t625 @t623 @t620 @t619 @t618))) % 0.51/0.89 (assume @p528 (forall @t630 (or @t629 @t627 @t624 @t622 @t620 @t619 @t618))) % 0.51/0.89 (assume @p529 (forall @t632 (or @t626 @t631 @t624 @t622 @t620 @t619 @t618))) % 0.51/0.89 (assume @p530 (forall (@list @t77 @t79 @t390 @t21) (or @t629 (not (tptp.c_in @t601 (tptp.hAPP @t21 (tptp.v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1 @t77 @t79 @t21)) @t389)) @t619 (not @t393)))) % 0.51/0.89 (assume @p531 (forall @t646 (or @t614 @t645 @t643 @t640 @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p532 (forall @t647 (or @t644 @t616 @t643 @t640 @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p533 (forall @t646 (or @t614 @t645 @t642 @t639 @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p534 (forall @t647 (or @t644 @t616 @t642 @t639 @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p535 (forall @t647 (or @t644 @t616 (not @t650) (not @t649) @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p536 (forall @t647 (or @t644 @t616 @t650 @t649 @t604 @t602 @t637 @t636 @t635 @t228))) % 0.51/0.89 (assume @p537 (forall (@list @t390 @t21 @t395) (or (= @t628 (tptp.hAPP @t21 @t395)) @t619 (not @t510)))) % 0.51/0.89 (assume @p538 (forall (@list @t77 @t79 @t1 @t12 @t6 @t4) (or @t652 (not @t651) @t331))) % 0.51/0.89 (assume @p539 (forall (@list @t77 @t17 @t1 @t79) (or @t475 @t381 (not @t547)))) % 0.51/0.89 (assume @p540 (forall (@list @t61 @t17 @t1 @t77) (or (tptp.c_in @t61 @t445 @t1) (not (tptp.c_in (tptp.c_Pair @t61 @t77 @t1 @t1) @t17 @t54)) @t476))) % 0.51/0.89 (assume @p541 (forall (@list @t79 @t17 @t6 @t1 @t12 @t77) (or (tptp.c_in @t79 @t358 @t12) @t583 @t331))) % 0.51/0.89 (assume @p542 (forall (@list @t79 @t17 @t6 @t12 @t1 @t21) (or @t491 (not (tptp.c_in (tptp.c_Pair @t21 @t79 @t12 @t1) @t17 @t37)) (not (tptp.c_in @t21 @t6 @t12))))) % 0.51/0.89 (assume @p543 (forall (@list @t21 @t6 @t1 @t61) (or @t174 @t579))) % 0.51/0.89 (assume @p544 (forall (@list @t21 @t1 @t6) (or (tptp.c_in @t385 @t59 @t54) @t175))) % 0.51/0.89 (assume @p545 (forall @t653 (or @t313 @t317 @t312))) % 0.51/0.89 (assume @p546 (forall @t654 (or @t174 @t317 @t312))) % 0.51/0.89 (assume @p547 (forall (@list @t77 @t17 @t12 @t1 @t21) (or @t530 (not (tptp.c_in (tptp.c_Pair @t21 @t77 @t12 @t1) @t17 @t37))))) % 0.51/0.89 (assume @p548 (forall (@list @t79 @t17 @t1 @t12 @t77) (or (tptp.c_in @t79 (tptp.c_Relation_ORange @t17 @t1 @t12) @t12) @t583))) % 0.51/0.89 (assume @p549 (forall (@list @t77 @t17 @t1 @t12 @t21) (or @t523 (not (tptp.c_in (tptp.c_Pair @t77 @t21 @t1 @t12) @t17 @t13))))) % 0.51/0.89 (assume @p550 (forall (@list @t77 @t17 @t1 @t12 @t79) (or @t523 @t583))) % 0.51/0.89 (assume @p551 (forall (@list @t79 @t4 @t77 @t12 @t1 @t6) (or @t651 @t655))) % 0.51/0.89 (assume @p552 (forall (@list @t77 @t6 @t1 @t79 @t12 @t4) (or @t239 @t655))) % 0.51/0.89 (assume @p553 (forall (@list @t20 @t21 @t1 @t17 @t6) (or (tptp.c_in (tptp.c_Pair @t20 @t21 @t1 @t1) @t17 @t54) (tptp.c_in (tptp.c_Pair @t21 @t20 @t1 @t1) @t17 @t54) (= @t21 @t20) (not (tptp.c_in @t20 @t6 @t1)) @t175 @t560))) % 0.51/0.89 (assume @p554 (forall (@list @t21 @t1 @t17 @t6) (or @t422 @t175 @t53))) % 0.51/0.89 (assume @p555 (forall @t653 (or @t313 @t317 @t53))) % 0.51/0.89 (assume @p556 (forall @t654 (or @t174 @t317 @t53))) % 0.51/0.89 (assume @p557 (forall (@list @t77 @t1 @t17 @t6) (or @t580 @t331 @t53))) % 0.51/0.89 (assume @p558 (forall @t459 (or @t657 (not @t656)))) % 0.51/0.89 (assume @p559 (forall @t459 (or @t656 (not @t657)))) % 0.51/0.89 (assume @p560 (forall @t460 (or @t659 (not @t658)))) % 0.51/0.89 (assume @p561 (forall @t459 (or @t658 (not @t659)))) % 0.51/0.89 (assume @p562 (not (= tptp.v_a____ tptp.v_b____))) % 0.51/0.89 (assume @p563 (tptp.c_in tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf @t519)) % 0.51/0.89 (assume @p564 (forall (@list @t275 @t274 @t21 @t663 @t662 @t660 @t12 @t1 @t41 @t568 @t661) (or (not (= @t665 (tptp.hAPP @t663 (tptp.hAPP @t662 @t660)))) (= @t664 (tptp.hAPP (tptp.c_Fun_Ocomp @t663 @t662 @t568 @t1 @t661) @t660))))) % 0.51/0.89 (assume @p565 (forall (@list @t77 @t79 @t41 @t12 @t1 @t286 @t323 @t568 @t666) (or (not (= @t668 (tptp.c_Fun_Ocomp @t286 @t323 @t568 @t12 @t1))) (= @t667 (tptp.hAPP @t286 (tptp.hAPP @t323 @t666)))))) % 0.51/0.89 (assume @p566 (forall @t670 (or @t669 (= @t79 @t633)))) % 0.51/0.89 (assume @p567 (forall @t670 (or @t669 (= @t77 @t634)))) % 0.51/0.89 (assume @p568 (forall @t513 (or @t673 (not @t672)))) % 0.51/0.89 (assume @p569 (forall @t674 (or (tptp.c_in @t671 @t570 @t37) @t583))) % 0.51/0.89 (assume @p570 (forall @t674 (or @t672 (not @t673)))) % 0.51/0.89 (assume @p571 (forall (@list @t275 @t274 @t675 @t568 @t41 @t1 @t12) (= (tptp.c_Fun_Ocomp @t275 (tptp.c_Fun_Ocomp @t274 @t675 @t568 @t41 @t1) @t41 @t12 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t275 @t274 @t41 @t12 @t568) @t675 @t568 @t12 @t1)))) % 0.51/0.89 (assume @p572 (forall @t679 (or @t678 @t677))) % 0.51/0.89 (assume @p573 (forall @t679 (or @t676 (not @t678)))) % 0.51/0.89 (assume @p574 (not (= tptp.v_b____ tptp.v_c____))) % 0.51/0.89 (assume @p575 (forall @t572 (= (tptp.hAPP @t303 @t570) @t17))) % 0.51/0.89 (assume @p576 (forall (@list @t77 @t79 @t666 @t41 @t12 @t1) (= @t667 (tptp.hAPP @t668 @t666)))) % 0.51/0.89 (assume @p577 (forall (@list @t275 @t274 @t12 @t1 @t41 @t21) (= @t664 @t665))) % 0.51/0.89 (assume @p578 (tptp.c_in tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf @t519)) % 0.51/0.89 (assume @p579 (forall (@list @t21 @t36 @t1) (or @t681 (not @t680)))) % 0.51/0.89 (assume @p580 (forall (@list @t36 @t21 @t1) (or @t680 (not @t681)))) % 0.51/0.89 (assume @p581 (not (= tptp.v_a____ tptp.v_c____))) % 0.51/0.89 (assume @p582 (tptp.c_in @t682 tptp.c_Arrow__Order__Mirabelle_OProf @t519)) % 0.51/0.89 (assume @p583 @t683) % 0.51/0.89 (assume @p584 (forall @t679 (or @t676 (not @t684)))) % 0.51/0.89 (assume @p585 (forall @t679 (or @t684 @t677))) % 0.51/0.89 (assume @p586 (forall @t689 (or (tptp.class_Lattices_Oupper__semilattice @t688) @t686))) % 0.51/0.89 (assume @p587 (forall @t689 (or (tptp.class_Lattices_Olower__semilattice @t688) @t686))) % 0.51/0.89 (assume @p588 (forall @t689 (or (tptp.class_Lattices_Odistrib__lattice @t688) (not (tptp.class_Lattices_Odistrib__lattice @t685))))) % 0.51/0.89 (assume @p589 (forall @t689 (or (tptp.class_Lattices_Obounded__lattice @t688) (not (tptp.class_Lattices_Obounded__lattice @t685))))) % 0.51/0.89 (assume @p590 (forall @t689 (or (tptp.class_Orderings_Opreorder @t688) (not (tptp.class_Orderings_Opreorder @t685))))) % 0.51/0.89 (assume @p591 (forall @t689 (or (tptp.class_Lattices_Olattice @t688) @t686))) % 0.51/0.89 (assume @p592 (forall @t689 (or (tptp.class_Orderings_Oorder @t688) (not (tptp.class_Orderings_Oorder @t685))))) % 0.51/0.89 (assume @p593 (forall @t689 (or (tptp.class_Orderings_Obot @t688) (not (tptp.class_Orderings_Obot @t685))))) % 0.51/0.89 (assume @p594 (forall @t689 (or (tptp.class_HOL_Oord @t688) (not (tptp.class_HOL_Oord @t685))))) % 0.51/0.89 (assume @p595 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.51/0.89 (assume @p596 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.51/0.89 (assume @p597 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.51/0.89 (assume @p598 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.51/0.89 (assume @p599 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.51/0.89 (assume @p600 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.51/0.89 (assume @p601 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.51/0.89 (assume @p602 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.51/0.89 (assume @p603 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.51/0.89 (assume @p604 (forall @t297 (tptp.c_fequal @t21 @t21 @t1))) % 0.51/0.89 (assume @p605 (forall (@list @t691 @t690 @t1) (or (= @t691 @t690) (not (tptp.c_fequal @t691 @t690 @t1))))) % 0.51/0.89 (step @p606 :rule symm :premises (@p562)) % 0.51/0.89 (step @p607 false :rule chain_m_resolution :premises (@p583 @p606) :args (false (@list true) (@list @t683))) % 0.51/0.89 ) % 0.51/0.89 % SZS output end Proof % 0.51/0.89 % cvc5 exiting %------------------------------------------------------------------------------