%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT064-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 0.48s 0.80s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT064-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n028.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:22:50 EDT 2026 % 0.18/0.34 % CPUTime : % 0.38/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.80 % SZS status Unsatisfiable % 0.48/0.80 % SZS output start Proof % 0.48/0.82 ( % 0.48/0.82 (declare-sort $$unsorted 0) % 0.48/0.82 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.v_F (-> $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.v_P____ $$unsorted) % 0.48/0.82 (declare-const tptp.v_c____ $$unsorted) % 0.48/0.82 (declare-const tptp.v_P_H____ $$unsorted) % 0.48/0.82 (declare-const tptp.v_a____ $$unsorted) % 0.48/0.82 (declare-const tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.v_b____ $$unsorted) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.48/0.82 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.tc_bool $$unsorted) % 0.48/0.82 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.t_a $$unsorted) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.t_b $$unsorted) % 0.48/0.82 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.v_r $$unsorted) % 0.48/0.82 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.48/0.82 (declare-const tptp.v_sko__Wellfounded__Xacc__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.82 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.48/0.82 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.48/0.82 (define @t1 () (@var "T_a" $$unsorted)) % 0.48/0.82 (define @t2 () (@var "V_z" $$unsorted)) % 0.48/0.82 (define @t3 () (@var "V_x" $$unsorted)) % 0.48/0.82 (define @t4 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t2 @t1)) % 0.48/0.82 (define @t5 () (@var "V_y" $$unsorted)) % 0.48/0.82 (define @t6 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t2 @t1)) % 0.48/0.82 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t6 @t1)) % 0.48/0.82 (define @t8 () (= @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t4 @t1))) % 0.48/0.82 (define @t9 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.48/0.82 (define @t10 () (@list @t1 @t3 @t5 @t2)) % 0.48/0.82 (define @t11 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t5 @t1)) % 0.48/0.82 (define @t12 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11 @t2 @t1) @t7)) % 0.48/0.82 (define @t13 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.48/0.82 (define @t14 () (@var "V_C" $$unsorted)) % 0.48/0.82 (define @t15 () (@var "V_B" $$unsorted)) % 0.48/0.82 (define @t16 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t13)) % 0.48/0.82 (define @t17 () (@var "V_A" $$unsorted)) % 0.48/0.82 (define @t18 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t16 @t13)) % 0.48/0.82 (define @t19 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t13)) % 0.48/0.82 (define @t20 () (@list @t17 @t15 @t1 @t14)) % 0.48/0.82 (define @t21 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t14 @t13)) % 0.48/0.82 (define @t22 () (@list @t17 @t15 @t14 @t1)) % 0.48/0.82 (define @t23 () (@var "T_b" $$unsorted)) % 0.48/0.82 (define @t24 () (tptp.tc_fun @t23 tptp.tc_bool)) % 0.48/0.82 (define @t25 () (@var "V_f" $$unsorted)) % 0.48/0.82 (define @t26 () (tptp.c_Set_Oimage @t25 @t15 @t23 @t1)) % 0.48/0.82 (define @t27 () (tptp.c_Set_Oimage @t25 @t17 @t23 @t1)) % 0.48/0.82 (define @t28 () (tptp.c_Orderings_Obot__class_Obot @t13)) % 0.48/0.82 (define @t29 () (tptp.c_Orderings_Obot__class_Obot @t24)) % 0.48/0.82 (define @t30 () (tptp.c_Set_Oimage @t25 @t29 @t23 @t1)) % 0.48/0.82 (define @t31 () (@var "V_y_H" $$unsorted)) % 0.48/0.82 (define @t32 () (@var "V_x_H" $$unsorted)) % 0.48/0.82 (define @t33 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t31 @t1)) % 0.48/0.82 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 0.48/0.82 (define @t35 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.48/0.82 (define @t36 () (@var "V_xa" $$unsorted)) % 0.48/0.82 (define @t37 () (tptp.c_Set_Oinsert @t3 @t28 @t1)) % 0.48/0.82 (define @t38 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t15 @t13)) % 0.48/0.82 (define @t39 () (@list @t17 @t15 @t1)) % 0.48/0.82 (define @t40 () (@var "V_P" $$unsorted)) % 0.48/0.82 (define @t41 () (@var "V_Q" $$unsorted)) % 0.48/0.82 (define @t42 () (@var "V_R" $$unsorted)) % 0.48/0.82 (define @t43 () (tptp.c_Relation_OImage @t42 @t15 @t23 @t1)) % 0.48/0.82 (define @t44 () (tptp.c_Relation_OImage @t42 @t17 @t23 @t1)) % 0.48/0.82 (define @t45 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t24)) % 0.48/0.82 (define @t46 () (@list @t42 @t17 @t15 @t23 @t1)) % 0.48/0.82 (define @t47 () (@var "V_S" $$unsorted)) % 0.48/0.82 (define @t48 () (tptp.tc_prod @t23 @t1)) % 0.48/0.82 (define @t49 () (tptp.tc_fun @t48 tptp.tc_bool)) % 0.48/0.82 (define @t50 () (@list @t1 @t3)) % 0.48/0.82 (define @t51 () (@list @t17 @t1)) % 0.48/0.82 (define @t52 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t3 @t1)) % 0.48/0.82 (define @t53 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.48/0.82 (define @t54 () (@list @t1 @t5 @t2 @t3)) % 0.48/0.82 (define @t55 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t2 @t1)) % 0.48/0.82 (define @t56 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t5 @t1)) % 0.48/0.82 (define @t57 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t55 @t1)) % 0.48/0.82 (define @t58 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t6 @t1)) % 0.48/0.82 (define @t59 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t14 @t13)) % 0.48/0.82 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t13)) % 0.48/0.82 (define @t61 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t16 @t13)) % 0.48/0.82 (define @t62 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t17 @t13)) % 0.48/0.82 (define @t63 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t17 @t13)) % 0.48/0.82 (define @t64 () (@list @t15 @t14 @t1 @t17)) % 0.48/0.82 (define @t65 () (tptp.tc_prod @t1 @t23)) % 0.48/0.82 (define @t66 () (tptp.tc_fun @t65 tptp.tc_bool)) % 0.48/0.82 (define @t67 () (tptp.c_Relation_ODomain @t15 @t1 @t23)) % 0.48/0.82 (define @t68 () (tptp.c_Relation_ODomain @t17 @t1 @t23)) % 0.48/0.82 (define @t69 () (not (= @t60 @t28))) % 0.48/0.82 (define @t70 () (@var "V_a" $$unsorted)) % 0.48/0.82 (define @t71 () (tptp.c_Set_Oinsert @t70 @t28 @t1)) % 0.48/0.82 (define @t72 () (@var "V_b" $$unsorted)) % 0.48/0.82 (define @t73 () (@var "V_J" $$unsorted)) % 0.48/0.82 (define @t74 () (tptp.c_Product__Type_OSigma @t73 @t14 @t1 @t23)) % 0.48/0.82 (define @t75 () (@var "V_I" $$unsorted)) % 0.48/0.82 (define @t76 () (tptp.c_Product__Type_OSigma @t75 @t14 @t1 @t23)) % 0.48/0.82 (define @t77 () (@list @t75 @t73 @t1 @t14 @t23)) % 0.48/0.82 (define @t78 () (tptp.c_in @t3 @t17 @t1)) % 0.48/0.82 (define @t79 () (not @t78)) % 0.48/0.82 (define @t80 () (@var "V_c" $$unsorted)) % 0.48/0.82 (define @t81 () (tptp.c_Set_Oinsert @t3 @t15 @t1)) % 0.48/0.82 (define @t82 () (tptp.c_lessequals @t17 @t81 @t13)) % 0.48/0.82 (define @t83 () (not @t82)) % 0.48/0.82 (define @t84 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t17 @t37 @t13) @t15 @t13)) % 0.48/0.82 (define @t85 () (not @t84)) % 0.48/0.82 (define @t86 () (@list @t17 @t3 @t15 @t1)) % 0.48/0.82 (define @t87 () (tptp.c_in @t3 @t15 @t1)) % 0.48/0.82 (define @t88 () (not @t87)) % 0.48/0.82 (define @t89 () (tptp.c_Set_Oinsert @t3 @t17 @t1)) % 0.48/0.82 (define @t90 () (tptp.c_HOL_Ominus__class_Ominus @t89 @t15 @t13)) % 0.48/0.82 (define @t91 () (@list @t3 @t17 @t1 @t15)) % 0.48/0.82 (define @t92 () (tptp.c_Relation_ORange @t15 @t23 @t1)) % 0.48/0.82 (define @t93 () (tptp.c_Relation_ORange @t17 @t23 @t1)) % 0.48/0.82 (define @t94 () (tptp.tc_prod @t1 @t1)) % 0.48/0.82 (define @t95 () (tptp.tc_fun @t94 tptp.tc_bool)) % 0.48/0.82 (define @t96 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t47 @t95)) % 0.48/0.82 (define @t97 () (tptp.c_Transitive__Closure_Ortrancl @t96 @t1)) % 0.48/0.82 (define @t98 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t1)) % 0.48/0.82 (define @t99 () (tptp.c_Transitive__Closure_Ortrancl @t42 @t1)) % 0.48/0.82 (define @t100 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t98 @t95)) % 0.48/0.82 (define @t101 () (@list @t42 @t1 @t47)) % 0.48/0.82 (define @t102 () (= @t17 @t29)) % 0.48/0.82 (define @t103 () (tptp.c_Set_Oinsert @t70 @t15 @t1)) % 0.48/0.82 (define @t104 () (@list @t70 @t15 @t1 @t14)) % 0.48/0.82 (define @t105 () (@list @t17 @t70 @t15 @t1)) % 0.48/0.82 (define @t106 () (@list @t1 @t17)) % 0.48/0.82 (define @t107 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.48/0.82 (define @t108 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t103 @t13)) % 0.48/0.82 (define @t109 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t71 @t13)) % 0.48/0.82 (define @t110 () (tptp.c_Set_Oinsert @t70 @t17 @t1)) % 0.48/0.82 (define @t111 () (@list @t70 @t17 @t1)) % 0.48/0.82 (define @t112 () (tptp.c_Set_Oinsert @t70 @t60 @t1)) % 0.48/0.82 (define @t113 () (@list @t42 @t23 @t1)) % 0.48/0.82 (define @t114 () (@var "V_r" $$unsorted)) % 0.48/0.82 (define @t115 () (tptp.c_Relation_Osym @t114 @t1)) % 0.48/0.82 (define @t116 () (not @t115)) % 0.48/0.82 (define @t117 () (@var "V_s" $$unsorted)) % 0.48/0.82 (define @t118 () (not (tptp.c_Relation_Osym @t117 @t1))) % 0.48/0.82 (define @t119 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t117 @t95)) % 0.48/0.82 (define @t120 () (@list @t114 @t117 @t1)) % 0.48/0.82 (define @t121 () (@list @t17 @t15 @t1 @t23)) % 0.48/0.82 (define @t122 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.48/0.82 (define @t123 () (@list @t1 @t15)) % 0.48/0.82 (define @t124 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t24)) % 0.48/0.82 (define @t125 () (@list @t25 @t17 @t15 @t23 @t1)) % 0.48/0.82 (define @t126 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t44 @t43 @t13)) % 0.48/0.82 (define @t127 () (tptp.c_Relation_OImage @t42 @t124 @t23 @t1)) % 0.48/0.82 (define @t128 () (tptp.c_lessequals @t14 @t17 @t13)) % 0.48/0.82 (define @t129 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t14 @t13) @t61)) % 0.48/0.82 (define @t130 () (not @t128)) % 0.48/0.82 (define @t131 () (tptp.hBOOL (tptp.hAPP @t19 @t3))) % 0.48/0.82 (define @t132 () (tptp.hBOOL (tptp.hAPP @t17 @t3))) % 0.48/0.82 (define @t133 () (tptp.hBOOL (tptp.hAPP @t15 @t3))) % 0.48/0.82 (define @t134 () (@list @t15 @t3 @t17 @t1)) % 0.48/0.82 (define @t135 () (not @t133)) % 0.48/0.82 (define @t136 () (@list @t17 @t15 @t1 @t3)) % 0.48/0.82 (define @t137 () (not @t132)) % 0.48/0.82 (define @t138 () (tptp.c_Wellfounded_Owf @t114 @t1)) % 0.48/0.82 (define @t139 () (not @t138)) % 0.48/0.82 (define @t140 () (tptp.c_Relation_ODomain @t114 @t1 @t1)) % 0.48/0.82 (define @t141 () (@list @t114 @t1 @t117)) % 0.48/0.82 (define @t142 () (tptp.c_COMBK @t14 @t24 @t1)) % 0.48/0.82 (define @t143 () (tptp.c_Product__Type_OSigma @t15 @t142 @t1 @t23)) % 0.48/0.82 (define @t144 () (tptp.c_Product__Type_OSigma @t17 @t142 @t1 @t23)) % 0.48/0.82 (define @t145 () (@list @t17 @t15 @t1 @t14 @t23)) % 0.48/0.82 (define @t146 () (tptp.c_Relation_Orefl__on @t17 @t114 @t1)) % 0.48/0.82 (define @t147 () (not @t146)) % 0.48/0.82 (define @t148 () (not (tptp.c_Relation_Orefl__on @t15 @t117 @t1))) % 0.48/0.82 (define @t149 () (@list @t17 @t15 @t1 @t114 @t117)) % 0.48/0.82 (define @t150 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t2 @t1)) % 0.48/0.82 (define @t151 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t150 @t1)) % 0.48/0.82 (define @t152 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t2 @t1) @t151)) % 0.48/0.82 (define @t153 () (not (tptp.class_Lattices_Olattice @t1))) % 0.48/0.82 (define @t154 () (= @t151 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t55 @t1))) % 0.48/0.82 (define @t155 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.48/0.82 (define @t156 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t13)) % 0.48/0.82 (define @t157 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t156 @t13)) % 0.48/0.82 (define @t158 () (tptp.c_COMBK @t15 @t24 @t1)) % 0.48/0.82 (define @t159 () (tptp.c_COMBK (tptp.c_Set_Oinsert @t72 @t15 @t23) @t24 @t1)) % 0.48/0.82 (define @t160 () (tptp.c_Pair @t70 @t72 @t1 @t23)) % 0.48/0.82 (define @t161 () (@list @t14 @t17 @t15 @t1)) % 0.48/0.82 (define @t162 () (tptp.c_HOL_Ominus__class_Ominus @t59 @t156 @t13)) % 0.48/0.82 (define @t163 () (tptp.c_COMBK @t80 @t1 @t23)) % 0.48/0.82 (define @t164 () (tptp.c_lessequals @t17 @t14 @t13)) % 0.48/0.82 (define @t165 () (not @t164)) % 0.48/0.82 (define @t166 () (@var "V_D" $$unsorted)) % 0.48/0.82 (define @t167 () (@list @t17 @t15 @t1 @t14 @t166)) % 0.48/0.82 (define @t168 () (tptp.c_lessequals @t17 @t15 @t13)) % 0.48/0.82 (define @t169 () (not @t168)) % 0.48/0.82 (define @t170 () (not (tptp.c_lessequals @t15 @t17 @t13))) % 0.48/0.82 (define @t171 () (tptp.c_lessequals @t3 @t5 @t1)) % 0.48/0.82 (define @t172 () (not @t171)) % 0.48/0.82 (define @t173 () (= @t56 @t3)) % 0.48/0.82 (define @t174 () (@list @t1 @t3 @t5)) % 0.48/0.82 (define @t175 () (tptp.c_lessequals @t5 @t3 @t1)) % 0.48/0.82 (define @t176 () (not @t175)) % 0.48/0.82 (define @t177 () (tptp.c_lessequals @t15 @t14 @t13)) % 0.48/0.82 (define @t178 () (not @t177)) % 0.48/0.82 (define @t179 () (tptp.c_lessequals @t19 @t14 @t13)) % 0.48/0.82 (define @t180 () (@list @t15 @t17 @t1)) % 0.48/0.82 (define @t181 () (tptp.c_lessequals @t70 @t3 @t1)) % 0.48/0.82 (define @t182 () (not @t181)) % 0.48/0.82 (define @t183 () (tptp.c_lessequals @t72 @t3 @t1)) % 0.48/0.82 (define @t184 () (not @t183)) % 0.48/0.82 (define @t185 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t70 @t72 @t1)) % 0.48/0.82 (define @t186 () (tptp.c_lessequals @t185 @t3 @t1)) % 0.48/0.82 (define @t187 () (@list @t1 @t70 @t72 @t3)) % 0.48/0.82 (define @t188 () (tptp.c_lessequals @t3 @t11 @t1)) % 0.48/0.82 (define @t189 () (tptp.c_lessequals @t5 @t11 @t1)) % 0.48/0.82 (define @t190 () (@list @t1 @t5 @t3)) % 0.48/0.82 (define @t191 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.48/0.82 (define @t192 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.48/0.82 (define @t193 () (not @t192)) % 0.48/0.82 (define @t194 () (tptp.c_lessequals @t5 @t2 @t1)) % 0.48/0.82 (define @t195 () (not @t194)) % 0.48/0.82 (define @t196 () (tptp.c_lessequals @t11 @t2 @t1)) % 0.48/0.82 (define @t197 () (= @t56 @t52)) % 0.48/0.82 (define @t198 () (tptp.c_Wellfounded_Oacyclic @t114 @t1)) % 0.48/0.82 (define @t199 () (@list @t114 @t1)) % 0.48/0.82 (define @t200 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t17 @t13)) % 0.48/0.82 (define @t201 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t200 @t13)) % 0.48/0.82 (define @t202 () (tptp.c_Set_Oinsert @t70 @t109 @t1)) % 0.48/0.82 (define @t203 () (= @t70 @t72)) % 0.48/0.82 (define @t204 () (tptp.c_Set_Oinsert @t72 @t28 @t1)) % 0.48/0.82 (define @t205 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t17 @t13)) % 0.48/0.82 (define @t206 () (tptp.c_Relation_Oconverse @t23 @t1)) % 0.48/0.82 (define @t207 () (tptp.hAPP @t206 @t117)) % 0.48/0.82 (define @t208 () (tptp.hAPP @t206 @t114)) % 0.48/0.82 (define @t209 () (@list @t23 @t1 @t114 @t117)) % 0.48/0.82 (define @t210 () (tptp.c_in @t70 @t17 @t1)) % 0.48/0.82 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t103 @t13)) % 0.48/0.82 (define @t212 () (tptp.c_in @t70 @t14 @t1)) % 0.48/0.82 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t103 @t14 @t13)) % 0.48/0.82 (define @t214 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t17 @t114 @t1)) % 0.48/0.82 (define @t215 () (not @t214)) % 0.48/0.82 (define @t216 () (tptp.c_Relation_Ototal__on @t17 @t114 @t1)) % 0.48/0.82 (define @t217 () (@list @t17 @t114 @t1)) % 0.48/0.82 (define @t218 () (not (= @t19 @t28))) % 0.48/0.82 (define @t219 () (= @t17 @t28)) % 0.48/0.82 (define @t220 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t1) @t107))) % 0.48/0.82 (define @t221 () (@list @t1 @t17 @t15)) % 0.48/0.82 (define @t222 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t17 @t13)) % 0.48/0.82 (define @t223 () (@var "T_c" $$unsorted)) % 0.48/0.82 (define @t224 () (@var "V_T" $$unsorted)) % 0.48/0.82 (define @t225 () (tptp.tc_prod @t1 @t223)) % 0.48/0.82 (define @t226 () (tptp.tc_fun @t225 tptp.tc_bool)) % 0.48/0.82 (define @t227 () (tptp.c_lessequals @t14 @t60 @t13)) % 0.48/0.82 (define @t228 () (not @t227)) % 0.48/0.82 (define @t229 () (tptp.c_lessequals @t14 @t15 @t13)) % 0.48/0.82 (define @t230 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t70 @t72 @t1)) % 0.48/0.82 (define @t231 () (tptp.c_lessequals @t3 @t230 @t1)) % 0.48/0.82 (define @t232 () (not @t231)) % 0.48/0.82 (define @t233 () (tptp.c_lessequals @t3 @t70 @t1)) % 0.48/0.82 (define @t234 () (@list @t1 @t3 @t70 @t72)) % 0.48/0.82 (define @t235 () (tptp.c_lessequals @t3 @t72 @t1)) % 0.48/0.82 (define @t236 () (tptp.c_lessequals @t230 @t3 @t1)) % 0.48/0.82 (define @t237 () (tptp.c_lessequals @t3 @t150 @t1)) % 0.48/0.82 (define @t238 () (not @t237)) % 0.48/0.82 (define @t239 () (@list @t1 @t3 @t2 @t5)) % 0.48/0.82 (define @t240 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t13)) % 0.48/0.82 (define @t241 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t14 @t13)) % 0.48/0.82 (define @t242 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t5 @t3 @t1)) % 0.48/0.82 (define @t243 () (= @t11 @t242)) % 0.48/0.82 (define @t244 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t11 @t1) @t11)) % 0.48/0.82 (define @t245 () (@list @t17 @t15 @t23 @t1)) % 0.48/0.82 (define @t246 () (tptp.hBOOL (tptp.hAPP @t60 @t3))) % 0.48/0.82 (define @t247 () (not @t246)) % 0.48/0.82 (define @t248 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t117 @t95)) % 0.48/0.82 (define @t249 () (@list @t3 @t17 @t1)) % 0.48/0.82 (define @t250 () (tptp.c_lessequals @t17 @t16 @t13)) % 0.48/0.82 (define @t251 () (tptp.c_lessequals @t38 @t14 @t13)) % 0.48/0.82 (define @t252 () (tptp.c_Pair @t5 @t3 @t1 @t1)) % 0.48/0.82 (define @t253 () (tptp.c_Set_Oinsert @t252 @t114 @t94)) % 0.48/0.82 (define @t254 () (tptp.c_Wellfounded_Oacyclic @t253 @t1)) % 0.48/0.82 (define @t255 () (not @t254)) % 0.48/0.82 (define @t256 () (@list @t114 @t1 @t5 @t3)) % 0.48/0.82 (define @t257 () (tptp.c_in @t80 @t17 @t1)) % 0.48/0.82 (define @t258 () (not @t257)) % 0.48/0.82 (define @t259 () (tptp.c_in @t80 @t15 @t1)) % 0.48/0.82 (define @t260 () (not @t259)) % 0.48/0.82 (define @t261 () (tptp.c_in @t80 @t60 @t1)) % 0.48/0.82 (define @t262 () (@list @t80 @t17 @t15 @t1)) % 0.48/0.82 (define @t263 () (tptp.c_in @t80 @t19 @t1)) % 0.48/0.82 (define @t264 () (not (tptp.c_in @t3 @t28 @t1))) % 0.48/0.82 (define @t265 () (@list @t3 @t1)) % 0.48/0.82 (define @t266 () (tptp.hBOOL (tptp.hAPP @t40 @t3))) % 0.48/0.82 (define @t267 () (@list @t40 @t3 @t1)) % 0.48/0.82 (define @t268 () (@list @t70 @t1)) % 0.48/0.82 (define @t269 () (@list @t80 @t15 @t1 @t17)) % 0.48/0.82 (define @t270 () (tptp.c_in @t80 @t38 @t1)) % 0.48/0.82 (define @t271 () (not @t270)) % 0.48/0.82 (define @t272 () (@list @t80 @t17 @t1 @t15)) % 0.48/0.82 (define @t273 () (not @t261)) % 0.48/0.82 (define @t274 () (not @t266)) % 0.48/0.82 (define @t275 () (tptp.c_Relation_OId @t1)) % 0.48/0.82 (define @t276 () (tptp.c_HOL_Ominus__class_Ominus @t114 @t275 @t95)) % 0.48/0.82 (define @t277 () (not @t198)) % 0.48/0.82 (define @t278 () (tptp.c_Transitive__Closure_Otrancl @t114 @t1)) % 0.48/0.82 (define @t279 () (tptp.c_Pair @t3 @t3 @t1 @t1)) % 0.48/0.82 (define @t280 () (@list @t3 @t1 @t114)) % 0.48/0.82 (define @t281 () (not (tptp.c_Equiv__Relations_Oequiv @t17 @t114 @t1))) % 0.48/0.82 (define @t282 () (tptp.c_Relation_OImage @t114 @t204 @t1 @t1)) % 0.48/0.82 (define @t283 () (tptp.c_Relation_OImage @t114 @t71 @t1 @t1)) % 0.48/0.82 (define @t284 () (tptp.c_Pair @t70 @t72 @t1 @t1)) % 0.48/0.82 (define @t285 () (tptp.c_in @t284 @t114 @t94)) % 0.48/0.82 (define @t286 () (tptp.c_Wellfounded_Owf @t42 @t1)) % 0.48/0.82 (define @t287 () (not @t286)) % 0.48/0.82 (define @t288 () (tptp.c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1 @t17 @t15 @t166 @t1 @t23)) % 0.48/0.82 (define @t289 () (tptp.c_Product__Type_OSigma @t17 @t15 @t1 @t23)) % 0.48/0.82 (define @t290 () (tptp.c_lessequals @t289 (tptp.c_Product__Type_OSigma @t14 @t166 @t1 @t23) @t66)) % 0.48/0.82 (define @t291 () (@list @t17 @t15 @t1 @t23 @t14 @t166)) % 0.48/0.82 (define @t292 () (tptp.c_Product__Type_OSigma @t17 (tptp.c_COMBK @t17 @t13 @t1) @t1 @t1)) % 0.48/0.82 (define @t293 () (tptp.c_lessequals @t114 @t292 @t95)) % 0.48/0.82 (define @t294 () (not @t293)) % 0.48/0.82 (define @t295 () (@list @t114 @t1 @t17)) % 0.48/0.82 (define @t296 () (tptp.c_Wellfounded_Owf @t96 @t1)) % 0.48/0.82 (define @t297 () (@list @t42 @t47 @t1)) % 0.48/0.82 (define @t298 () (not (tptp.c_lessequals @t114 @t117 @t95))) % 0.48/0.82 (define @t299 () (@list @t114 @t17 @t1)) % 0.48/0.82 (define @t300 () (not (tptp.c_lessequals @t114 (tptp.c_Product__Type_OSigma @t17 @t158 @t1 @t23) @t66))) % 0.48/0.82 (define @t301 () (tptp.tc_prod @t23 @t223)) % 0.48/0.82 (define @t302 () (tptp.tc_fun @t301 tptp.tc_bool)) % 0.48/0.82 (define @t303 () (tptp.tc_fun @t223 tptp.tc_bool)) % 0.48/0.82 (define @t304 () (tptp.c_Relation_Orel__comp @t114 @t117 @t1 @t23 @t223)) % 0.48/0.82 (define @t305 () (tptp.c_Transitive__Closure_Ortrancl @t114 @t1)) % 0.48/0.82 (define @t306 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t278 @t275 @t95)) % 0.48/0.82 (define @t307 () (@list @t3 @t15 @t1 @t17)) % 0.48/0.82 (define @t308 () (tptp.c_Relation_Otrans @t114 @t1)) % 0.48/0.82 (define @t309 () (not @t308)) % 0.48/0.82 (define @t310 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11 @t4 @t1)) % 0.48/0.82 (define @t311 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t150 @t1)) % 0.48/0.82 (define @t312 () (@list @t17 @t14 @t1 @t15)) % 0.48/0.82 (define @t313 () (tptp.c_Relation_Oconverse @t1 @t1)) % 0.48/0.82 (define @t314 () (tptp.hAPP @t313 @t114)) % 0.48/0.82 (define @t315 () (tptp.c_Wellfounded_Oacyclic @t314 @t1)) % 0.48/0.82 (define @t316 () (@list @t1 @t114)) % 0.48/0.82 (define @t317 () (= @t11 @t5)) % 0.48/0.82 (define @t318 () (= @t19 @t15)) % 0.48/0.82 (define @t319 () (= @t70 @t80)) % 0.48/0.82 (define @t320 () (@var "V_d" $$unsorted)) % 0.48/0.82 (define @t321 () (= @t70 @t320)) % 0.48/0.82 (define @t322 () (not (= (tptp.c_Set_Oinsert @t70 @t204 @t1) (tptp.c_Set_Oinsert @t80 (tptp.c_Set_Oinsert @t320 @t28 @t1) @t1)))) % 0.48/0.82 (define @t323 () (@list @t70 @t72 @t1 @t80 @t320)) % 0.48/0.82 (define @t324 () (= @t72 @t80)) % 0.48/0.82 (define @t325 () (= @t72 @t320)) % 0.48/0.82 (define @t326 () (@list @t1)) % 0.48/0.82 (define @t327 () (not @t210)) % 0.48/0.82 (define @t328 () (not (tptp.c_lessequals @t15 @t166 @t13))) % 0.48/0.82 (define @t329 () (tptp.c_lessequals @t56 @t3 @t1)) % 0.48/0.82 (define @t330 () (tptp.c_lessequals @t56 @t5 @t1)) % 0.48/0.82 (define @t331 () (not @t233)) % 0.48/0.82 (define @t332 () (not @t235)) % 0.48/0.82 (define @t333 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t56 @t1) @t56)) % 0.48/0.82 (define @t334 () (@var "V_r_H" $$unsorted)) % 0.48/0.82 (define @t335 () (not @t196)) % 0.48/0.82 (define @t336 () (tptp.c_lessequals @t3 @t185 @t1)) % 0.48/0.82 (define @t337 () (not @t186)) % 0.48/0.82 (define @t338 () (not @t179)) % 0.48/0.82 (define @t339 () (tptp.c_lessequals @t31 @t32 @t1)) % 0.48/0.82 (define @t340 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t5 @t1) @t33))) % 0.48/0.82 (define @t341 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.48/0.82 (define @t342 () (@list @t1 @t3 @t5 @t32 @t31)) % 0.48/0.82 (define @t343 () (tptp.c_Relation_Oirrefl @t114 @t1)) % 0.48/0.82 (define @t344 () (= @t17 @t15)) % 0.48/0.82 (define @t345 () (not (tptp.c_in @t3 @t14 @t1))) % 0.48/0.82 (define @t346 () (tptp.c_COMBK @t14 @t13 @t23)) % 0.48/0.82 (define @t347 () (tptp.c_Product__Type_OSigma @t15 @t346 @t23 @t1)) % 0.48/0.82 (define @t348 () (tptp.c_Product__Type_OSigma @t17 @t346 @t23 @t1)) % 0.48/0.82 (define @t349 () (@list @t17 @t14 @t1 @t23 @t15 @t3)) % 0.48/0.82 (define @t350 () (tptp.c_in @t72 (tptp.c_Relation_OImage @t114 @t17 @t23 @t1) @t1)) % 0.48/0.82 (define @t351 () (not @t350)) % 0.48/0.82 (define @t352 () (tptp.c_ATP__Linkup_Osko__Relation__XImageE__1__1 @t17 @t72 @t114 @t23 @t1)) % 0.48/0.82 (define @t353 () (@list @t17 @t72 @t114 @t23 @t1)) % 0.48/0.82 (define @t354 () (tptp.c_in @t3 @t97 @t94)) % 0.48/0.82 (define @t355 () (@list @t3 @t42 @t47 @t1)) % 0.48/0.82 (define @t356 () (tptp.c_Wellfounded_Oacc @t114 @t1)) % 0.48/0.82 (define @t357 () (tptp.c_in @t70 @t356 @t1)) % 0.48/0.82 (define @t358 () (not @t357)) % 0.48/0.82 (define @t359 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1 @t40 @t114 @t1)) % 0.48/0.82 (define @t360 () (tptp.hBOOL (tptp.hAPP @t40 @t70))) % 0.48/0.82 (define @t361 () (@list @t40 @t70 @t114 @t1)) % 0.48/0.82 (define @t362 () (tptp.c_Wellfounded_Oacc @t42 @t1)) % 0.48/0.82 (define @t363 () (tptp.c_in @t3 @t362 @t1)) % 0.48/0.82 (define @t364 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1 @t42 @t3 @t1)) % 0.48/0.82 (define @t365 () (@list @t42 @t3 @t1)) % 0.48/0.82 (define @t366 () (tptp.c_Relation_Orel__comp @t42 @t42 @t1 @t1 @t1)) % 0.48/0.82 (define @t367 () (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t366 (tptp.c_Relation_Orel__comp @t47 @t42 @t1 @t1 @t1) @t95) @t47 @t95) @t1)) % 0.48/0.82 (define @t368 () (@list @t42 @t1)) % 0.48/0.82 (define @t369 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t275 @t95)) % 0.48/0.82 (define @t370 () (tptp.c_Relation_OId__on @t17 @t1)) % 0.48/0.82 (define @t371 () (tptp.c_Relation_Oantisym @t369 @t1)) % 0.48/0.82 (define @t372 () (tptp.c_Relation_Oantisym @t114 @t1)) % 0.48/0.82 (define @t373 () (not @t372)) % 0.48/0.82 (define @t374 () (tptp.c_Relation_Ototal__on @t17 @t276 @t1)) % 0.48/0.82 (define @t375 () (not @t216)) % 0.48/0.82 (define @t376 () (tptp.c_Relation_Orel__comp @t305 @t114 @t1 @t1 @t1)) % 0.48/0.82 (define @t377 () (tptp.c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1 @t114 @t1)) % 0.48/0.82 (define @t378 () (tptp.c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1 @t114 @t1)) % 0.48/0.82 (define @t379 () (tptp.c_Nitpick_Orefl_H @t114 @t1)) % 0.48/0.82 (define @t380 () (not @t343)) % 0.48/0.82 (define @t381 () (tptp.hBOOL (tptp.hAPP @t40 @t5))) % 0.48/0.82 (define @t382 () (@list @t40 @t70 @t5 @t114 @t1)) % 0.48/0.82 (define @t383 () (tptp.c_lessequals @t17 @t15 @t24)) % 0.48/0.82 (define @t384 () (tptp.c_lessequals @t348 @t347 @t49)) % 0.48/0.82 (define @t385 () (tptp.c_Pair @t3 @t5 @t1 @t1)) % 0.48/0.82 (define @t386 () (tptp.c_in @t385 @t305 @t94)) % 0.48/0.82 (define @t387 () (not @t386)) % 0.48/0.82 (define @t388 () (@list @t3 @t5 @t1 @t114)) % 0.48/0.82 (define @t389 () (@list @t5 @t3 @t1 @t114)) % 0.48/0.82 (define @t390 () (tptp.c_in @t72 (tptp.c_Relation_OImage @t114 (tptp.c_Set_Oinsert @t70 @t29 @t23) @t23 @t1) @t1)) % 0.48/0.82 (define @t391 () (tptp.c_Pair @t70 @t72 @t23 @t1)) % 0.48/0.82 (define @t392 () (tptp.c_in @t391 @t114 @t48)) % 0.48/0.82 (define @t393 () (@list @t70 @t72 @t23 @t1 @t114)) % 0.48/0.82 (define @t394 () (tptp.c_in @t385 @t114 @t94)) % 0.48/0.82 (define @t395 () (not @t394)) % 0.48/0.82 (define @t396 () (= (tptp.c_Relation_OImage @t114 @t37 @t1 @t1) (tptp.c_Relation_OImage @t114 (tptp.c_Set_Oinsert @t5 @t28 @t1) @t1 @t1))) % 0.48/0.82 (define @t397 () (@list @t114 @t3 @t1 @t5 @t17)) % 0.48/0.82 (define @t398 () (not @t285)) % 0.48/0.82 (define @t399 () (= @t283 @t282)) % 0.48/0.82 (define @t400 () (@list @t114 @t70 @t1 @t72 @t17)) % 0.48/0.82 (define @t401 () (not (tptp.c_in @t72 @t17 @t1))) % 0.48/0.82 (define @t402 () (tptp.c_in @t5 @t17 @t1)) % 0.48/0.82 (define @t403 () (not @t402)) % 0.48/0.82 (define @t404 () (not @t396)) % 0.48/0.82 (define @t405 () (tptp.c_in @t284 @t305 @t94)) % 0.48/0.82 (define @t406 () (not @t405)) % 0.48/0.82 (define @t407 () (tptp.c_Wellfounded_Owf @t253 @t1)) % 0.48/0.82 (define @t408 () (tptp.c_Relation_Orel__comp @t314 @t114 @t1 @t1 @t1)) % 0.48/0.82 (define @t409 () (tptp.c_Transitive__Closure_Otrancl @t42 @t1)) % 0.48/0.82 (define @t410 () (tptp.c_in @t385 @t409 @t94)) % 0.48/0.82 (define @t411 () (not @t410)) % 0.48/0.82 (define @t412 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1 @t42 @t3 @t5 @t1)) % 0.48/0.82 (define @t413 () (@list @t3 @t42 @t5 @t1)) % 0.48/0.82 (define @t414 () (tptp.c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1 @t42 @t3 @t5 @t1)) % 0.48/0.82 (define @t415 () (@list @t42 @t3 @t5 @t1)) % 0.48/0.82 (define @t416 () (@var "V_p" $$unsorted)) % 0.48/0.82 (define @t417 () (tptp.c_in @t416 @t278 @t94)) % 0.48/0.82 (define @t418 () (not @t407)) % 0.48/0.82 (define @t419 () (not (tptp.c_in @t3 @t17 @t23))) % 0.48/0.82 (define @t420 () (tptp.hAPP @t25 @t3)) % 0.48/0.82 (define @t421 () (tptp.c_Set_Oimage @t25 @t17 @t1 @t23)) % 0.48/0.82 (define @t422 () (@list @t25 @t3 @t17 @t1 @t23)) % 0.48/0.82 (define @t423 () (not (tptp.c_lessequals @t334 @t114 @t66))) % 0.48/0.82 (define @t424 () (@var "V_A_H" $$unsorted)) % 0.48/0.82 (define @t425 () (tptp.c_Relation_OImage @t114 @t17 @t1 @t23)) % 0.48/0.82 (define @t426 () (@list @t3 @t17 @t23 @t25 @t1)) % 0.48/0.82 (define @t427 () (not (tptp.c_lessequals @t114 @t117 @t66))) % 0.48/0.82 (define @t428 () (tptp.c_Relation_ODomain @t114 @t1 @t23)) % 0.48/0.82 (define @t429 () (@list @t114 @t1 @t23 @t117)) % 0.48/0.82 (define @t430 () (tptp.c_Relation_Osingle__valued @t114 @t1 @t23)) % 0.48/0.82 (define @t431 () (not (tptp.c_lessequals @t40 @t41 @t13))) % 0.48/0.82 (define @t432 () (tptp.hBOOL (tptp.hAPP @t41 @t3))) % 0.48/0.82 (define @t433 () (@list @t41 @t3 @t40 @t1)) % 0.48/0.82 (define @t434 () (tptp.c_lessequals @t3 @t3 @t1)) % 0.48/0.82 (define @t435 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.48/0.82 (define @t436 () (not (tptp.class_Orderings_Oorder @t1))) % 0.48/0.82 (define @t437 () (tptp.c_lessequals @t89 @t15 @t13)) % 0.48/0.82 (define @t438 () (tptp.hAPP @t25 @t70)) % 0.48/0.82 (define @t439 () (tptp.c_Transitive__Closure_Ortrancl @t117 @t1)) % 0.48/0.82 (define @t440 () (tptp.c_lessequals @t305 @t439 @t95)) % 0.48/0.82 (define @t441 () (= @t3 @t5)) % 0.48/0.82 (define @t442 () (@list @t70 @t72 @t1 @t23 @t114)) % 0.48/0.82 (define @t443 () (tptp.c_Set_Oinsert @t5 @t17 @t1)) % 0.48/0.82 (define @t444 () (tptp.hBOOL (tptp.hAPP @t443 @t3))) % 0.48/0.82 (define @t445 () (= @t5 @t3)) % 0.48/0.82 (define @t446 () (tptp.c_Set_Oinsert @t72 @t15 @t1)) % 0.48/0.82 (define @t447 () (not @t437)) % 0.48/0.82 (define @t448 () (@var "V_s_H" $$unsorted)) % 0.48/0.82 (define @t449 () (@var "V_R2" $$unsorted)) % 0.48/0.82 (define @t450 () (@var "V_R1" $$unsorted)) % 0.48/0.82 (define @t451 () (tptp.c_Relation_ORange @t114 @t23 @t1)) % 0.48/0.82 (define @t452 () (@var "V_g" $$unsorted)) % 0.48/0.82 (define @t453 () (tptp.c_in @t70 (tptp.c_Set_Oinsert @t72 @t17 @t1) @t1)) % 0.48/0.82 (define @t454 () (@var "V_t" $$unsorted)) % 0.48/0.82 (define @t455 () (not (tptp.c_in @t416 @t114 @t94))) % 0.48/0.82 (define @t456 () (@list @t416 @t114 @t1)) % 0.48/0.82 (define @t457 () (tptp.c_Pair @t72 @t80 @t1 @t1)) % 0.48/0.82 (define @t458 () (not (tptp.c_in @t457 @t305 @t94))) % 0.48/0.82 (define @t459 () (tptp.c_Pair @t70 @t80 @t1 @t1)) % 0.48/0.82 (define @t460 () (tptp.c_in @t459 @t278 @t94)) % 0.48/0.82 (define @t461 () (@list @t70 @t80 @t1 @t114 @t72)) % 0.48/0.82 (define @t462 () (not (tptp.c_in @t457 @t114 @t94))) % 0.48/0.82 (define @t463 () (tptp.c_in @t385 @t99 @t94)) % 0.48/0.82 (define @t464 () (@list @t3 @t5 @t1 @t42)) % 0.48/0.82 (define @t465 () (not @t463)) % 0.48/0.82 (define @t466 () (tptp.c_in @t252 @t305 @t94)) % 0.48/0.82 (define @t467 () (tptp.c_Transitive__Closure_Ortrancl @t314 @t1)) % 0.48/0.82 (define @t468 () (tptp.c_in @t385 @t467 @t94)) % 0.48/0.82 (define @t469 () (tptp.c_Pair @t3 @t2 @t1 @t1)) % 0.48/0.82 (define @t470 () (tptp.c_Pair @t5 @t2 @t1 @t1)) % 0.48/0.82 (define @t471 () (tptp.c_in @t284 @t278 @t94)) % 0.48/0.82 (define @t472 () (not @t471)) % 0.48/0.82 (define @t473 () (@list @t70 @t72 @t1 @t114)) % 0.48/0.82 (define @t474 () (@list @t3 @t2 @t1 @t114 @t5)) % 0.48/0.82 (define @t475 () (tptp.c_Transitive__Closure_Otrancl @t314 @t1)) % 0.48/0.82 (define @t476 () (tptp.c_in @t385 @t475 @t94)) % 0.48/0.82 (define @t477 () (tptp.hAPP @t313 @t278)) % 0.48/0.82 (define @t478 () (tptp.c_in @t385 @t477 @t94)) % 0.48/0.82 (define @t479 () (tptp.hAPP @t438 @t72)) % 0.48/0.82 (define @t480 () (tptp.c_Pair @t70 @t72 @t23 @t223)) % 0.48/0.82 (define @t481 () (tptp.c_split @t25 @t1 @t23 @t223)) % 0.48/0.82 (define @t482 () (tptp.c_in @t420 @t27 @t1)) % 0.48/0.82 (define @t483 () (@var "T_aa" $$unsorted)) % 0.48/0.82 (define @t484 () (tptp.c_in @t3 @t356 @t1)) % 0.48/0.82 (define @t485 () (@list @t3 @t114 @t1)) % 0.48/0.82 (define @t486 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1 @t40 @t114 @t1)) % 0.48/0.82 (define @t487 () (tptp.c_Wellfounded_Oacc @t114 tptp.t_a)) % 0.48/0.82 (define @t488 () (not (tptp.c_in @t3 @t487 tptp.t_a))) % 0.48/0.82 (define @t489 () (tptp.v_sko__Wellfounded__Xacc__Xinducts__1 @t40 @t114)) % 0.48/0.82 (define @t490 () (@list @t40 @t3 @t114)) % 0.48/0.82 (define @t491 () (tptp.c_Relation_Osym @t314 @t1)) % 0.48/0.82 (define @t492 () (tptp.c_ATP__Linkup_Osko__Relation__XImage__iff__1__1 @t17 @t72 @t114 @t23 @t1)) % 0.48/0.82 (define @t493 () (tptp.c_Relation_Orefl__on @t17 @t314 @t1)) % 0.48/0.82 (define @t494 () (@list @t17 @t1 @t114)) % 0.48/0.82 (define @t495 () (tptp.c_Wellfounded_Owf @t366 @t1)) % 0.48/0.82 (define @t496 () (= @t314 @t114)) % 0.48/0.82 (define @t497 () (tptp.c_Relation_Oinv__image @t114 @t25 @t1 @t23)) % 0.48/0.82 (define @t498 () (@list @t114 @t25 @t1 @t23)) % 0.48/0.82 (define @t499 () (tptp.c_Relation_Orel__comp @t114 @t305 @t1 @t1 @t1)) % 0.48/0.82 (define @t500 () (tptp.c_Relation_Otrans @t314 @t1)) % 0.48/0.82 (define @t501 () (@var "T_d" $$unsorted)) % 0.48/0.82 (define @t502 () (= @t408 @t114)) % 0.48/0.82 (define @t503 () (tptp.hAPP (tptp.c_Relation_Oconverse @t1 @t23) @t114)) % 0.48/0.82 (define @t504 () (not (tptp.c_in @t36 @t41 @t1))) % 0.48/0.82 (define @t505 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1 @t41 @t114 @t1)) % 0.48/0.82 (define @t506 () (not @t430)) % 0.48/0.82 (define @t507 () (@list @t23 @t1 @t114)) % 0.48/0.82 (define @t508 () (tptp.c_Relation_Oantisym @t314 @t1)) % 0.48/0.82 (define @t509 () (tptp.v_sko__Wellfounded__Xacc__Xinduct__1 @t40 @t114)) % 0.48/0.82 (define @t510 () (not (tptp.c_in @t3 @t41 @t1))) % 0.48/0.82 (define @t511 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1 @t41 @t42 @t1)) % 0.48/0.82 (define @t512 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1 @t114 @t3 @t1)) % 0.48/0.82 (define @t513 () (@var "V_r1" $$unsorted)) % 0.48/0.82 (define @t514 () (@var "V_r2" $$unsorted)) % 0.48/0.82 (define @t515 () (not (tptp.c_Equiv__Relations_Ocongruent2 @t513 @t514 @t25 @t1 @t23 @t223))) % 0.48/0.82 (define @t516 () (tptp.c_Relation_ODomain @t208 @t1 @t23)) % 0.48/0.82 (define @t517 () (tptp.c_Relation_Ototal__on @t17 @t314 @t1)) % 0.48/0.82 (define @t518 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.48/0.82 (define @t519 () (@list @t40 @t3 @t5 @t114)) % 0.48/0.82 (define @t520 () (not (tptp.c_in @t5 @t41 @t1))) % 0.48/0.82 (define @t521 () (tptp.c_Pair @t72 @t70 @t1 @t1)) % 0.48/0.82 (define @t522 () (not (tptp.c_in @t521 @t305 @t94))) % 0.48/0.82 (define @t523 () (tptp.c_in @t72 @t356 @t1)) % 0.48/0.82 (define @t524 () (@list @t72 @t114 @t1 @t70)) % 0.48/0.82 (define @t525 () (@var "V_ya" $$unsorted)) % 0.48/0.82 (define @t526 () (tptp.c_in @t525 @t487 tptp.t_a)) % 0.48/0.82 (define @t527 () (@list @t40 @t3 @t525 @t114)) % 0.48/0.82 (define @t528 () (tptp.c_in @t279 @t99 @t94)) % 0.48/0.82 (define @t529 () (tptp.c_in @t3 (tptp.c_Relation_ODomain @t42 @t1 @t1) @t1)) % 0.48/0.82 (define @t530 () (tptp.c_in @t70 @t428 @t1)) % 0.48/0.82 (define @t531 () (not @t530)) % 0.48/0.82 (define @t532 () (@list @t70 @t114 @t1 @t23)) % 0.48/0.82 (define @t533 () (tptp.c_in @t70 @t451 @t1)) % 0.48/0.82 (define @t534 () (@var "V_z1" $$unsorted)) % 0.48/0.82 (define @t535 () (@var "V_y1" $$unsorted)) % 0.48/0.82 (define @t536 () (tptp.tc_prod @t23 @t23)) % 0.48/0.82 (define @t537 () (@var "V_z2" $$unsorted)) % 0.48/0.82 (define @t538 () (@var "V_y2" $$unsorted)) % 0.48/0.82 (define @t539 () (tptp.c_Pair @t3 @t5 @t1 @t23)) % 0.48/0.82 (define @t540 () (= @t5 @t2)) % 0.48/0.82 (define @t541 () (tptp.c_Pair @t3 @t70 @t1 @t1)) % 0.48/0.82 (define @t542 () (not (tptp.c_in @t541 @t114 @t94))) % 0.48/0.82 (define @t543 () (tptp.c_in @t539 @t42 @t65)) % 0.48/0.82 (define @t544 () (tptp.c_FunDef_Oin__rel @t42 @t3 @t5 @t1 @t23)) % 0.48/0.82 (define @t545 () (not (tptp.c_in @t470 @t114 @t94))) % 0.48/0.82 (define @t546 () (tptp.c_Pair @t72 @t70 @t23 @t1)) % 0.48/0.82 (define @t547 () (tptp.c_in @t546 @t114 @t48)) % 0.48/0.82 (define @t548 () (tptp.c_in @t160 @t208 @t65)) % 0.48/0.82 (define @t549 () (not (tptp.c_in @t160 @t114 @t65))) % 0.48/0.82 (define @t550 () (@list @t72 @t70 @t23 @t1 @t114)) % 0.48/0.82 (define @t551 () (tptp.c_in @t279 @t114 @t94)) % 0.48/0.82 (define @t552 () (not (tptp.c_in @t457 @t278 @t94))) % 0.48/0.82 (define @t553 () (tptp.c_in @t459 @t305 @t94)) % 0.48/0.82 (define @t554 () (tptp.c_Pair @t70 @t70 @t1 @t1)) % 0.48/0.82 (define @t555 () (@list @t70 @t1 @t114)) % 0.48/0.82 (define @t556 () (tptp.c_in @t252 @t114 @t94)) % 0.48/0.82 (define @t557 () (not @t556)) % 0.48/0.82 (define @t558 () (tptp.c_in @t521 @t114 @t94)) % 0.48/0.82 (define @t559 () (tptp.hAPP @t25 @t5)) % 0.48/0.82 (define @t560 () (not (tptp.c_in @t385 @t370 @t94))) % 0.48/0.82 (define @t561 () (tptp.c_in @t554 @t114 @t94)) % 0.48/0.82 (define @t562 () (tptp.c_in (tptp.c_Pair @t420 @t559 @t23 @t23) @t114 @t536)) % 0.48/0.82 (define @t563 () (tptp.c_in @t385 (tptp.c_Relation_Oinv__image @t114 @t25 @t23 @t1) @t94)) % 0.48/0.82 (define @t564 () (= @t3 @t2)) % 0.48/0.82 (define @t565 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t566 () (@var "V_L" $$unsorted)) % 0.48/0.82 (define @t567 () (tptp.c_Pair @t3 @t5 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t568 () (tptp.c_in @t567 @t566 @t565)) % 0.48/0.82 (define @t569 () (not @t568)) % 0.48/0.82 (define @t570 () (tptp.c_in @t567 (tptp.c_Arrow__Order__Mirabelle_Omktop @t566 @t2) @t565)) % 0.48/0.82 (define @t571 () (@list @t3 @t5 @t566 @t2)) % 0.48/0.82 (define @t572 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t566 @t3)) % 0.48/0.82 (define @t573 () (tptp.c_Pair @t3 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t574 () (@list @t3 @t566)) % 0.48/0.82 (define @t575 () (@list @t3 @t5 @t566)) % 0.48/0.82 (define @t576 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t566 @t3)) % 0.48/0.82 (define @t577 () (tptp.c_Pair @t36 @t3 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t578 () (@list @t36 @t3 @t566)) % 0.48/0.82 (define @t579 () (tptp.c_in @t567 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t566 @t2) @t565)) % 0.48/0.82 (define @t580 () (= @t36 @t3)) % 0.48/0.82 (define @t581 () (tptp.c_in @t72 (tptp.hAPP @t15 @t70) @t23)) % 0.48/0.82 (define @t582 () (tptp.c_in @t160 @t289 @t65)) % 0.48/0.82 (define @t583 () (@list @t5 @t17 @t1 @t3 @t114)) % 0.48/0.82 (define @t584 () (@list @t3 @t17 @t1 @t5 @t114)) % 0.48/0.82 (define @t585 () (not @t582)) % 0.48/0.82 (define @t586 () (@var "V_b_H" $$unsorted)) % 0.48/0.82 (define @t587 () (@var "V_a_H" $$unsorted)) % 0.48/0.82 (define @t588 () (not (= @t160 (tptp.c_Pair @t587 @t586 @t1 @t23)))) % 0.48/0.82 (define @t589 () (@list @t70 @t72 @t1 @t23 @t587 @t586)) % 0.48/0.82 (define @t590 () (@var "V_i" $$unsorted)) % 0.48/0.82 (define @t591 () (tptp.c_Pair tptp.v_b____ tptp.v_c____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t592 () (tptp.c_in @t591 (tptp.hAPP tptp.v_P_H____ @t590) @t565)) % 0.48/0.82 (define @t593 () (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.48/0.82 (define @t594 () (tptp.c_in @t593 (tptp.hAPP tptp.v_P____ @t590) @t565)) % 0.48/0.82 (define @t595 () (@list @t590)) % 0.48/0.82 (define @t596 () (tptp.hBOOL (tptp.hAPP @t47 @t3))) % 0.48/0.82 (define @t597 () (tptp.c_in @t3 @t47 @t1)) % 0.48/0.82 (define @t598 () (tptp.tc_fun @t565 tptp.tc_bool)) % 0.48/0.82 (define @t599 () (tptp.c_in (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_F (tptp.c_Fun_Ocomp (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.v_P____ @t598 @t598 tptp.tc_Arrow__Order__Mirabelle_Oindi)) @t565)) % 0.48/0.82 (define @t600 () (not @t599)) % 0.48/0.82 (define @t601 () (tptp.c_in @t593 (tptp.v_F tptp.v_P____) @t565)) % 0.48/0.82 (define @t602 () (not @t601)) % 0.48/0.82 (define @t603 () (tptp.c_in @t591 (tptp.v_F tptp.v_P_H____) @t565)) % 0.48/0.82 (define @t604 () (not @t603)) % 0.48/0.82 (define @t605 () (@var "T_1" $$unsorted)) % 0.48/0.82 (define @t606 () (not (tptp.class_Lattices_Olattice @t605))) % 0.48/0.82 (define @t607 () (@var "T_2" $$unsorted)) % 0.48/0.82 (define @t608 () (tptp.tc_fun @t607 @t605)) % 0.48/0.82 (define @t609 () (@list @t607 @t605)) % 0.48/0.82 (define @t610 () (@var "V_Y" $$unsorted)) % 0.48/0.82 (define @t611 () (@var "V_X" $$unsorted)) % 0.48/0.82 (define @t612 () (@list @t603 @t599)) % 0.48/0.82 (define @t613 () (@list false)) % 0.48/0.82 (define @t614 () (@list @t601)) % 0.48/0.82 (assume @p1 (forall @t10 (or @t9 @t8))) % 0.48/0.82 (assume @p2 (forall @t10 (or @t9 @t12))) % 0.48/0.82 (assume @p3 (forall @t20 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t14 @t13) @t18))) % 0.48/0.82 (assume @p4 (forall @t22 (= @t18 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t21 @t13)))) % 0.48/0.82 (assume @p5 (forall (@list @t25 @t17 @t23 @t1 @t15) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t27 @t26 @t13) (tptp.c_Set_Oimage @t25 (tptp.c_HOL_Ominus__class_Ominus @t17 @t15 @t24) @t23 @t1) @t13))) % 0.48/0.82 (assume @p6 (forall (@list @t25 @t23 @t1) (= @t30 @t28))) % 0.48/0.82 (assume @p7 (forall (@list @t1 @t3 @t32 @t31) (or @t35 (not (= @t34 @t33)) (= @t32 @t31)))) % 0.48/0.82 (assume @p8 (forall (@list @t1 @t36 @t5 @t3) (or @t35 (not (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t5 @t1) @t34)) (= @t36 @t5)))) % 0.48/0.82 (assume @p9 (forall (@list @t36 @t3 @t1) (= (tptp.c_Set_Oinsert @t36 @t37 @t1) (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oinsert @t36 @t28 @t1) @t1)))) % 0.48/0.82 (assume @p10 (forall @t39 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t15 @t13) @t38))) % 0.48/0.82 (assume @p11 (forall (@list @t40 @t1 @t23 @t41) (= (tptp.hAPP (tptp.c_COMBK @t40 @t1 @t23) @t41) @t40))) % 0.48/0.82 (assume @p12 (forall @t46 (= (tptp.c_Relation_OImage @t42 @t45 @t23 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t43 @t13)))) % 0.48/0.82 (assume @p13 (forall (@list @t42 @t47 @t23 @t1 @t17) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t47 @t49) @t17 @t23 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 (tptp.c_Relation_OImage @t47 @t17 @t23 @t1) @t13)))) % 0.48/0.82 (assume @p14 (forall @t50 (or @t9 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t1) @t3)))) % 0.48/0.82 (assume @p15 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t17 @t13) @t17))) % 0.48/0.82 (assume @p16 (forall @t54 (or @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t3 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t52 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t3 @t1) @t1))))) % 0.48/0.82 (assume @p17 (forall @t10 (or @t53 (= @t58 @t57)))) % 0.48/0.82 (assume @p18 (forall @t22 (= @t61 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t59 @t13)))) % 0.48/0.82 (assume @p19 (forall @t64 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t17 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t63 @t62 @t13)))) % 0.48/0.82 (assume @p20 (forall (@list @t17 @t1 @t23 @t15) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t68 @t67 @t13) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t17 @t15 @t66) @t1 @t23) @t13))) % 0.48/0.82 (assume @p21 (forall @t39 (or @t69 (= @t38 @t17)))) % 0.48/0.82 (assume @p22 (forall (@list @t72 @t70 @t1) (or (= @t72 @t70) (not (tptp.c_in @t72 @t71 @t1))))) % 0.48/0.82 (assume @p23 (forall @t77 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t75 @t73 @t13) @t14 @t1 @t23) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t76 @t74 @t66)))) % 0.48/0.82 (assume @p24 (forall (@list @t80 @t23 @t1 @t17 @t3) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t80 @t23 @t1) @t17 @t1 @t23) (tptp.c_Set_Oinsert @t80 @t29 @t23)) @t79))) % 0.48/0.82 (assume @p25 (forall (@list @t17 @t3 @t1 @t15) (or @t84 @t79 @t83))) % 0.48/0.82 (assume @p26 (forall @t86 (or @t82 @t79 @t85))) % 0.48/0.82 (assume @p27 (forall @t91 (or (= @t90 @t38) @t88))) % 0.48/0.82 (assume @p28 (forall (@list @t17 @t23 @t1 @t15) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t93 @t92 @t13) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t17 @t15 @t49) @t23 @t1) @t13))) % 0.48/0.82 (assume @p29 (forall @t101 (tptp.c_lessequals @t100 @t97 @t95))) % 0.48/0.82 (assume @p30 (forall (@list @t1 @t25 @t17 @t23) (or (not (= @t28 @t27)) @t102))) % 0.48/0.82 (assume @p31 (forall @t104 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t103 @t14 @t13) (tptp.c_Set_Oinsert @t70 @t16 @t1)))) % 0.48/0.82 (assume @p32 (forall @t105 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t103 @t13) (tptp.c_Set_Oinsert @t70 @t19 @t1)))) % 0.48/0.82 (assume @p33 (forall @t106 (tptp.c_lessequals @t28 @t17 @t13))) % 0.48/0.82 (assume @p34 (forall @t50 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t107 @t3 @t1)))) % 0.48/0.82 (assume @p35 (forall @t105 (= @t108 (tptp.c_HOL_Ominus__class_Ominus @t38 @t71 @t13)))) % 0.48/0.82 (assume @p36 (forall @t105 (= @t108 (tptp.c_HOL_Ominus__class_Ominus @t109 @t15 @t13)))) % 0.48/0.82 (assume @p37 (forall @t111 (not (= @t110 @t28)))) % 0.48/0.82 (assume @p38 (forall (@list @t70 @t17 @t1 @t15) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t103 @t13) @t112))) % 0.48/0.82 (assume @p39 (forall @t113 (= (tptp.c_Relation_OImage @t42 @t29 @t23 @t1) @t28))) % 0.48/0.82 (assume @p40 (forall @t120 (or (tptp.c_Relation_Osym @t119 @t1) @t118 @t116))) % 0.48/0.82 (assume @p41 (forall @t121 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t66) @t1 @t23) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t68 @t67 @t13) @t13))) % 0.48/0.82 (assume @p42 (forall @t50 (or @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t107 @t1) @t107)))) % 0.48/0.82 (assume @p43 (forall @t50 (or @t122 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t107 @t3 @t1) @t107)))) % 0.48/0.82 (assume @p44 (forall @t123 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t15 @t13) @t28))) % 0.48/0.82 (assume @p45 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t28 @t13) @t28))) % 0.48/0.82 (assume @p46 (forall @t125 (tptp.c_lessequals (tptp.c_Set_Oimage @t25 @t124 @t23 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t26 @t13) @t13))) % 0.48/0.82 (assume @p47 (forall @t46 (tptp.c_lessequals @t127 @t126 @t13))) % 0.48/0.82 (assume @p48 (forall @t20 (or (not @t129) @t128))) % 0.48/0.82 (assume @p49 (forall @t20 (or @t129 @t130))) % 0.48/0.82 (assume @p50 (forall @t77 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t75 @t73 @t13) @t14 @t1 @t23) (tptp.c_HOL_Ominus__class_Ominus @t76 @t74 @t66)))) % 0.48/0.82 (assume @p51 (forall @t51 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t28 @t13) @t17))) % 0.48/0.82 (assume @p52 (forall @t51 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t13) @t28))) % 0.48/0.82 (assume @p53 (forall @t134 (or @t133 @t132 (not @t131)))) % 0.48/0.82 (assume @p54 (forall @t136 (or @t131 @t135))) % 0.48/0.82 (assume @p55 (forall @t136 (or @t131 @t137))) % 0.48/0.82 (assume @p56 (forall @t141 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t140 (tptp.c_Relation_ORange @t117 @t1 @t1) @t13) @t28)) (not (tptp.c_Wellfounded_Owf @t117 @t1)) @t139 (tptp.c_Wellfounded_Owf @t119 @t1)))) % 0.48/0.82 (assume @p57 (forall @t145 (= (tptp.c_Product__Type_OSigma @t60 @t142 @t1 @t23) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t144 @t143 @t66)))) % 0.48/0.82 (assume @p58 (forall @t149 (or (tptp.c_Relation_Orefl__on @t19 @t119 @t1) @t148 @t147))) % 0.48/0.82 (assume @p59 (forall @t10 (or @t153 @t152))) % 0.48/0.82 (assume @p60 (forall @t10 (or @t153 @t154))) % 0.48/0.82 (assume @p61 (forall @t10 (or @t155 @t154))) % 0.48/0.82 (assume @p62 (forall @t10 (or @t155 @t152))) % 0.48/0.82 (assume @p63 (forall @t20 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t14 @t13) @t157))) % 0.48/0.82 (assume @p64 (forall @t22 (= @t157 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t59 @t13)))) % 0.48/0.82 (assume @p65 (forall @t50 (or @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t107 @t1) @t3)))) % 0.48/0.82 (assume @p66 (forall @t50 (or @t122 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t107 @t3 @t1) @t3)))) % 0.48/0.82 (assume @p67 (forall @t123 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t15 @t13) @t15))) % 0.48/0.82 (assume @p68 (forall @t51 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t28 @t13) @t17))) % 0.48/0.82 (assume @p69 (forall @t106 (= (tptp.c_HOL_Ominus__class_Ominus @t28 @t17 @t13) @t28))) % 0.48/0.82 (assume @p70 (forall (@list @t70 @t17 @t1 @t72 @t15 @t23) (= (tptp.c_Product__Type_OSigma @t110 @t159 @t1 @t23) (tptp.c_Set_Oinsert @t160 (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Product__Type_OSigma @t17 @t159 @t1 @t23) (tptp.c_Product__Type_OSigma @t110 @t158 @t1 @t23) @t66) @t65)))) % 0.48/0.82 (assume @p71 (forall @t50 (not (tptp.hBOOL (tptp.hAPP @t28 @t3))))) % 0.48/0.82 (assume @p72 (forall @t161 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t38 @t13) (tptp.c_HOL_Ominus__class_Ominus @t62 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t15 @t13) @t13)))) % 0.48/0.82 (assume @p73 (forall @t20 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t14 @t13) @t162))) % 0.48/0.82 (assume @p74 (forall (@list @t80 @t1 @t23 @t17) (or (= (tptp.c_Set_Oimage @t163 @t17 @t23 @t1) (tptp.c_Set_Oinsert @t80 @t28 @t1)) @t102))) % 0.48/0.82 (assume @p75 (forall @t167 (or (tptp.c_lessequals @t38 (tptp.c_HOL_Ominus__class_Ominus @t14 @t166 @t13) @t13) (not (tptp.c_lessequals @t166 @t15 @t13)) @t165))) % 0.48/0.82 (assume @p76 (forall @t10 (or @t153 @t8))) % 0.48/0.82 (assume @p77 (forall @t10 (or @t153 @t12))) % 0.48/0.82 (assume @p78 (forall @t39 (or (= @t60 @t17) @t169))) % 0.48/0.82 (assume @p79 (forall @t39 (or (= @t60 @t15) @t170))) % 0.48/0.82 (assume @p80 (forall @t174 (or @t155 @t173 @t172))) % 0.48/0.82 (assume @p81 (forall @t174 (or @t155 (not @t173) @t171))) % 0.48/0.82 (assume @p82 (forall @t174 (or @t155 (= @t56 @t5) @t176))) % 0.48/0.82 (assume @p83 (forall @t20 (or @t179 @t178 @t165))) % 0.48/0.82 (assume @p84 (forall @t180 (tptp.c_lessequals @t15 @t19 @t13))) % 0.48/0.82 (assume @p85 (forall @t39 (tptp.c_lessequals @t17 @t19 @t13))) % 0.48/0.82 (assume @p86 (forall @t187 (or @t9 @t186 @t184 @t182))) % 0.48/0.82 (assume @p87 (forall @t174 (or @t9 @t188))) % 0.48/0.82 (assume @p88 (forall @t190 (or @t9 @t189))) % 0.48/0.82 (assume @p89 (forall @t54 (or @t9 (tptp.c_lessequals @t6 @t3 @t1) (not @t191) @t176))) % 0.48/0.82 (assume @p90 (forall @t10 (or @t9 @t196 @t195 @t193))) % 0.48/0.82 (assume @p91 (forall @t190 (or @t153 @t189))) % 0.48/0.82 (assume @p92 (forall @t174 (or @t153 @t188))) % 0.48/0.82 (assume @p93 (forall @t39 (= @t60 @t63))) % 0.48/0.82 (assume @p94 (forall @t174 (or @t155 @t197))) % 0.48/0.82 (assume @p95 (forall @t174 (or @t153 @t197))) % 0.48/0.82 (assume @p96 (forall @t199 (or @t198 @t139))) % 0.48/0.82 (assume @p97 (forall @t39 (or (= @t201 @t15) @t169))) % 0.48/0.82 (assume @p98 (forall @t10 (or @t153 (tptp.c_lessequals @t57 @t58 @t1)))) % 0.48/0.82 (assume @p99 (forall @t39 (tptp.c_lessequals @t38 @t17 @t13))) % 0.48/0.82 (assume @p100 (forall @t111 (= @t202 @t110))) % 0.48/0.82 (assume @p101 (forall (@list @t70 @t1 @t72) (or (not (= @t71 @t204)) @t203))) % 0.48/0.82 (assume @p102 (forall @t20 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t156 @t13) @t62 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t16 @t13) @t205 @t13)))) % 0.48/0.82 (assume @p103 (forall (@list @t80 @t1 @t23) (= (tptp.c_Set_Oimage @t163 @t29 @t23 @t1) @t28))) % 0.48/0.82 (assume @p104 (forall (@list @t3 @t36 @t1) (or (not (= (tptp.c_Set_Oinsert @t3 @t36 @t1) @t28)) (tptp.c_in @t3 @t36 @t1)))) % 0.48/0.82 (assume @p105 (forall @t77 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t75 @t73 @t13) @t14 @t1 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t74 @t66)))) % 0.48/0.82 (assume @p106 (forall @t209 (= (tptp.hAPP @t206 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t117 @t49)) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t208 @t207 @t66)))) % 0.48/0.82 (assume @p107 (forall @t105 (or (= @t211 @t60) @t210))) % 0.48/0.82 (assume @p108 (forall @t104 (or (= @t213 @t156) @t212))) % 0.48/0.82 (assume @p109 (forall @t217 (or @t216 @t215))) % 0.48/0.82 (assume @p110 (forall @t39 (or @t218 (= @t15 @t28)))) % 0.48/0.82 (assume @p111 (forall @t39 (or @t218 @t219))) % 0.48/0.82 (assume @p112 (forall @t221 (or @t122 @t220 (= @t17 @t107)))) % 0.48/0.82 (assume @p113 (forall @t221 (or @t122 @t220 (= @t15 @t107)))) % 0.48/0.82 (assume @p114 (forall @t180 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t200 @t17 @t13) @t222))) % 0.48/0.82 (assume @p115 (forall @t39 (= @t201 @t19))) % 0.48/0.82 (assume @p116 (forall (@list @t47 @t224 @t1 @t223 @t42 @t23) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t224 @t226) @t42 @t1 @t223 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t47 @t42 @t1 @t223 @t23) (tptp.c_Relation_Orel__comp @t224 @t42 @t1 @t223 @t23) @t66)))) % 0.48/0.82 (assume @p117 (forall (@list @t42 @t47 @t224 @t223 @t23 @t1) (= (tptp.c_Relation_Orel__comp @t42 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t47 @t224 (tptp.tc_fun (tptp.tc_prod @t223 @t23) tptp.tc_bool)) @t1 @t223 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t42 @t47 @t1 @t223 @t23) (tptp.c_Relation_Orel__comp @t42 @t224 @t1 @t223 @t23) @t66)))) % 0.48/0.82 (assume @p118 (forall (@list @t14 @t15 @t1 @t17) (or @t229 @t228))) % 0.48/0.82 (assume @p119 (forall (@list @t14 @t17 @t1 @t15) (or @t128 @t228))) % 0.48/0.82 (assume @p120 (forall @t234 (or @t155 @t233 @t232))) % 0.48/0.82 (assume @p121 (forall (@list @t1 @t3 @t72 @t70) (or @t155 @t235 @t232))) % 0.48/0.82 (assume @p122 (forall @t187 (or @t155 @t236 @t182))) % 0.48/0.82 (assume @p123 (forall @t187 (or @t155 @t236 @t184))) % 0.48/0.82 (assume @p124 (forall @t10 (or @t155 @t171 @t238))) % 0.48/0.82 (assume @p125 (forall @t239 (or @t155 @t192 @t238))) % 0.48/0.82 (assume @p126 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t14 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t241 @t240 @t13)))) % 0.48/0.82 (assume @p127 (forall @t39 (= @t19 @t222))) % 0.48/0.82 (assume @p128 (forall @t174 (or @t9 @t243))) % 0.48/0.82 (assume @p129 (forall @t174 (or @t153 @t243))) % 0.48/0.82 (assume @p130 (forall @t121 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t66) @t1 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t68 @t67 @t13)))) % 0.48/0.82 (assume @p131 (forall @t111 (= @t110 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71 @t17 @t13)))) % 0.48/0.82 (assume @p132 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t19 @t13) @t19))) % 0.48/0.82 (assume @p133 (forall @t174 (or @t9 @t244))) % 0.48/0.82 (assume @p134 (forall @t174 (or @t153 @t244))) % 0.48/0.82 (assume @p135 (forall (@list @t1 @t25 @t23) (= @t28 @t30))) % 0.48/0.82 (assume @p136 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t200 @t13) @t28))) % 0.48/0.82 (assume @p137 (forall @t245 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t49) @t23 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t93 @t92 @t13) @t13))) % 0.48/0.82 (assume @p138 (forall @t101 (= (tptp.c_Transitive__Closure_Ortrancl @t100 @t1) @t97))) % 0.48/0.82 (assume @p139 (forall @t91 (or (= @t90 (tptp.c_Set_Oinsert @t3 @t38 @t1)) @t87))) % 0.48/0.82 (assume @p140 (forall @t86 (or @t82 @t169 @t85))) % 0.48/0.82 (assume @p141 (forall @t134 (or @t133 @t247))) % 0.48/0.82 (assume @p142 (forall @t86 (or @t132 @t247))) % 0.48/0.82 (assume @p143 (forall @t120 (or (tptp.c_Relation_Osym @t248 @t1) @t118 @t116))) % 0.48/0.82 (assume @p144 (forall @t249 (or (= (tptp.c_HOL_Ominus__class_Ominus @t89 @t37 @t13) @t17) @t78))) % 0.48/0.82 (assume @p145 (forall @t20 (or @t251 (not @t250)))) % 0.48/0.82 (assume @p146 (forall @t22 (or @t250 (not @t251)))) % 0.48/0.82 (assume @p147 (forall @t256 (or @t198 @t255))) % 0.48/0.82 (assume @p148 (forall @t262 (or @t261 @t260 @t258))) % 0.48/0.82 (assume @p149 (forall @t262 (or @t263 @t258))) % 0.48/0.82 (assume @p150 (forall @t262 (or @t263 @t260))) % 0.48/0.82 (assume @p151 (forall @t265 @t264)) % 0.48/0.82 (assume @p152 (forall @t267 (or @t266 @t264))) % 0.48/0.82 (assume @p153 (forall (@list @t80 @t1) (not (tptp.c_in @t80 @t28 @t1)))) % 0.48/0.82 (assume @p154 (forall @t268 (not (tptp.c_in @t70 @t28 @t1)))) % 0.48/0.82 (assume @p155 (forall @t269 (or @t259 @t257 (not @t263)))) % 0.48/0.82 (assume @p156 (forall @t269 (or @t260 @t271))) % 0.48/0.82 (assume @p157 (forall @t272 (or @t257 @t271))) % 0.48/0.82 (assume @p158 (forall @t269 (or @t259 @t273))) % 0.48/0.82 (assume @p159 (forall @t272 (or @t257 @t273))) % 0.48/0.82 (assume @p160 (forall @t267 (or @t274 @t264))) % 0.48/0.82 (assume @p161 (forall @t262 (or @t270 @t259 @t258))) % 0.48/0.82 (assume @p162 (forall @t199 (tptp.c_Relation_Oirrefl @t276 @t1))) % 0.48/0.82 (assume @p163 (forall @t280 (or (not (tptp.c_in @t279 @t278 @t94)) @t277))) % 0.48/0.82 (assume @p164 (forall (@list @t70 @t72 @t1 @t114 @t3 @t17) (or @t285 (not (tptp.c_in @t3 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t283 @t282 @t13) @t1)) @t281))) % 0.48/0.82 (assume @p165 (forall (@list @t17 @t1 @t42) (or @t219 (not (tptp.c_lessequals @t17 (tptp.c_Relation_OImage @t42 @t17 @t1 @t1) @t13)) @t287))) % 0.48/0.82 (assume @p166 (forall @t291 (or @t290 (not (tptp.c_lessequals (tptp.hAPP @t15 @t288) (tptp.hAPP @t166 @t288) @t24)) @t165))) % 0.48/0.82 (assume @p167 (forall @t295 (or (tptp.c_lessequals @t278 @t292 @t95) @t294))) % 0.48/0.82 (assume @p168 (forall @t297 (or @t296 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t42 @t47 @t1 @t1 @t1) @t42 @t95)) (not (tptp.c_Wellfounded_Owf @t47 @t1)) @t287))) % 0.48/0.82 (assume @p169 (forall @t141 (or (tptp.c_lessequals @t278 @t117 @t95) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t278 @t117 @t95) @t114 @t1 @t1 @t1) @t117 @t95)) @t298))) % 0.48/0.82 (assume @p170 (forall @t299 (or @t293 @t281))) % 0.48/0.82 (assume @p171 (forall (@list @t114 @t117 @t1 @t23 @t223 @t17 @t14 @t15) (or (tptp.c_lessequals @t304 (tptp.c_Product__Type_OSigma @t17 (tptp.c_COMBK @t14 @t303 @t1) @t1 @t223) @t226) (not (tptp.c_lessequals @t117 (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t14 @t303 @t23) @t23 @t223) @t302)) @t300))) % 0.48/0.82 (assume @p172 (forall @t199 (= @t306 @t305))) % 0.48/0.82 (assume @p173 (forall @t307 (or @t88 @t79 @t69))) % 0.48/0.82 (assume @p174 (forall @t120 (or (tptp.c_Relation_Otrans @t248 @t1) (not (tptp.c_Relation_Otrans @t117 @t1)) @t309))) % 0.48/0.82 (assume @p175 (forall @t10 (or @t153 (tptp.c_lessequals @t311 @t310 @t1)))) % 0.48/0.82 (assume @p176 (forall @t312 (= @t162 (tptp.c_HOL_Ominus__class_Ominus @t59 @t15 @t13)))) % 0.48/0.82 (assume @p177 (forall @t174 (or @t153 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t56 @t1) @t3)))) % 0.48/0.82 (assume @p178 (forall @t199 (or @t198 (not @t315)))) % 0.48/0.82 (assume @p179 (forall @t316 (or @t315 @t277))) % 0.48/0.82 (assume @p180 (forall @t174 (or @t153 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t11 @t1) @t3)))) % 0.48/0.82 (assume @p181 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t60 @t13) @t17))) % 0.48/0.82 (assume @p182 (forall @t174 (or @t9 (= @t11 @t3) @t176))) % 0.48/0.82 (assume @p183 (forall @t174 (or @t9 (not @t317) @t171))) % 0.48/0.82 (assume @p184 (forall @t174 (or @t9 @t317 @t172))) % 0.48/0.82 (assume @p185 (forall @t39 (or @t318 @t169))) % 0.48/0.82 (assume @p186 (forall @t39 (or (= @t19 @t17) @t170))) % 0.48/0.82 (assume @p187 (forall @t39 (or (not @t318) @t168))) % 0.48/0.82 (assume @p188 (forall @t149 (or (tptp.c_Relation_Orefl__on @t60 @t248 @t1) @t148 @t147))) % 0.48/0.82 (assume @p189 (forall @t323 (or @t322 @t321 @t319))) % 0.48/0.82 (assume @p190 (forall @t323 (or @t322 @t324 @t319))) % 0.48/0.82 (assume @p191 (forall @t323 (or @t322 @t321 @t325))) % 0.48/0.82 (assume @p192 (forall @t323 (or @t322 @t324 @t325))) % 0.48/0.82 (assume @p193 (forall @t51 (or @t219 (not (tptp.c_lessequals @t17 @t28 @t13))))) % 0.48/0.82 (assume @p194 (forall @t326 (tptp.c_lessequals @t28 @t28 @t13))) % 0.48/0.82 (assume @p195 (forall (@list @t1 @t70 @t17) (not (= @t28 @t110)))) % 0.48/0.82 (assume @p196 (forall @t104 (or (= @t213 (tptp.c_Set_Oinsert @t70 @t156 @t1)) (not @t212)))) % 0.48/0.82 (assume @p197 (forall @t105 (or (= @t211 @t112) @t327))) % 0.48/0.82 (assume @p198 (forall @t316 (tptp.c_Relation_Ototal__on @t28 @t114 @t1))) % 0.48/0.82 (assume @p199 (forall @t167 (or (tptp.c_lessequals @t19 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t166 @t13) @t13) @t328 @t165))) % 0.48/0.82 (assume @p200 (forall @t209 (= (tptp.hAPP @t206 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t117 @t49)) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t208 @t207 @t66)))) % 0.48/0.82 (assume @p201 (forall @t174 (or @t153 @t329))) % 0.48/0.82 (assume @p202 (forall @t174 (or @t153 @t330))) % 0.48/0.82 (assume @p203 (forall @t10 (or @t155 @t237 @t193 @t172))) % 0.48/0.82 (assume @p204 (forall @t234 (or @t155 @t231 @t332 @t331))) % 0.48/0.82 (assume @p205 (forall @t174 (or @t155 @t330))) % 0.48/0.82 (assume @p206 (forall @t174 (or @t155 @t329))) % 0.48/0.82 (assume @p207 (forall @t39 (tptp.c_lessequals @t60 @t17 @t13))) % 0.48/0.82 (assume @p208 (forall @t39 (tptp.c_lessequals @t60 @t15 @t13))) % 0.48/0.82 (assume @p209 (forall @t161 (or @t227 (not @t229) @t130))) % 0.48/0.82 (assume @p210 (forall @t145 (= (tptp.c_Product__Type_OSigma @t19 @t142 @t1 @t23) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t144 @t143 @t66)))) % 0.48/0.82 (assume @p211 (forall @t54 (or @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t150 @t3 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t242 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t3 @t1) @t1))))) % 0.48/0.82 (assume @p212 (forall @t10 (or @t53 (= @t311 @t310)))) % 0.48/0.82 (assume @p213 (forall @t22 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t156 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t21 @t13)))) % 0.48/0.82 (assume @p214 (forall @t64 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t156 @t17 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t222 @t205 @t13)))) % 0.48/0.82 (assume @p215 (forall @t295 (or @t308 @t215))) % 0.48/0.82 (assume @p216 (forall @t145 (= (tptp.c_Product__Type_OSigma @t38 @t142 @t1 @t23) (tptp.c_HOL_Ominus__class_Ominus @t144 @t143 @t66)))) % 0.48/0.82 (assume @p217 (forall @t174 (or @t153 @t333))) % 0.48/0.82 (assume @p218 (forall @t174 (or @t155 @t333))) % 0.48/0.82 (assume @p219 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t60 @t13) @t60))) % 0.48/0.82 (assume @p220 (forall @t245 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t49) @t23 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t93 @t92 @t13)))) % 0.48/0.82 (assume @p221 (forall (@list @t114 @t334 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t334 @t95) @t1) @t139))) % 0.48/0.82 (assume @p222 (forall (@list @t334 @t114 @t1) (or (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t334 @t114 @t95) @t1) @t139))) % 0.48/0.82 (assume @p223 (forall @t111 (or (= @t202 @t17) @t327))) % 0.48/0.82 (assume @p224 (forall @t50 (or @t155 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t1) @t3)))) % 0.48/0.82 (assume @p225 (forall @t51 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t17 @t13) @t17))) % 0.48/0.82 (assume @p226 (forall @t54 (or @t9 @t194 @t335))) % 0.48/0.82 (assume @p227 (forall @t239 (or @t9 @t192 @t335))) % 0.48/0.82 (assume @p228 (forall @t234 (or @t9 @t336 @t332))) % 0.48/0.82 (assume @p229 (forall @t234 (or @t9 @t336 @t331))) % 0.48/0.82 (assume @p230 (forall (@list @t1 @t72 @t3 @t70) (or @t9 @t183 @t337))) % 0.48/0.82 (assume @p231 (forall (@list @t1 @t70 @t3 @t72) (or @t9 @t181 @t337))) % 0.48/0.82 (assume @p232 (forall @t312 (or @t164 @t338))) % 0.48/0.82 (assume @p233 (forall @t64 (or @t177 @t338))) % 0.48/0.82 (assume @p234 (forall @t141 (or @t198 @t298 (not (tptp.c_Wellfounded_Oacyclic @t117 @t1))))) % 0.48/0.82 (assume @p235 (forall (@list @t25 @t17 @t23 @t1) (or (not (= @t27 @t28)) @t102))) % 0.48/0.82 (assume @p236 (forall @t167 (or (tptp.c_lessequals @t60 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t166 @t13) @t13) @t328 @t165))) % 0.48/0.82 (assume @p237 (forall @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t16 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t241 @t13)))) % 0.48/0.82 (assume @p238 (forall @t20 (= (tptp.c_HOL_Ominus__class_Ominus @t60 @t14 @t13) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t240 @t13)))) % 0.48/0.82 (assume @p239 (forall @t265 (tptp.c_in @t3 @t37 @t1))) % 0.48/0.82 (assume @p240 (forall (@list @t17 @t3 @t1) (or (= @t17 @t37) @t219 (not (tptp.c_lessequals @t17 @t37 @t13))))) % 0.48/0.82 (assume @p241 (forall @t22 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t156 @t13) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t241 @t13)))) % 0.48/0.82 (assume @p242 (forall @t136 (or @t246 @t135 @t137))) % 0.48/0.82 (assume @p243 (forall (@list @t15 @t14 @t17 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t15 (tptp.c_HOL_Ominus__class_Ominus @t14 @t17 @t13) @t13) @t17) @t178 @t169))) % 0.48/0.82 (assume @p244 (forall @t342 (or @t341 @t340 @t339 @t176))) % 0.48/0.82 (assume @p245 (forall @t342 (or @t341 @t340 @t175 (not @t339)))) % 0.48/0.82 (assume @p246 (forall @t326 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t28 @t13) @t28))) % 0.48/0.82 (assume @p247 (forall @t125 (= (tptp.c_Set_Oimage @t25 @t45 @t23 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t26 @t13)))) % 0.48/0.82 (assume @p248 (forall @t295 (or @t343 @t215))) % 0.48/0.82 (assume @p249 (forall @t349 (or (not (= @t348 @t347)) @t345 @t344))) % 0.48/0.82 (assume @p250 (forall @t353 (or (tptp.c_in @t352 @t17 @t23) @t351))) % 0.48/0.82 (assume @p251 (forall @t355 (or @t354 (not (tptp.c_in @t3 @t99 @t94))))) % 0.48/0.82 (assume @p252 (forall @t355 (or @t354 (not (tptp.c_in @t3 @t98 @t94))))) % 0.48/0.82 (assume @p253 (forall @t361 (or @t360 (tptp.c_in @t359 @t356 @t1) @t358))) % 0.48/0.82 (assume @p254 (forall @t365 (or (not (tptp.c_in @t364 @t362 @t1)) @t363))) % 0.48/0.82 (assume @p255 (forall @t361 (or @t360 (not (tptp.hBOOL (tptp.hAPP @t40 @t359))) @t358))) % 0.48/0.82 (assume @p256 (forall @t101 (or @t367 (not @t296)))) % 0.48/0.82 (assume @p257 (forall @t297 (or @t296 (not @t367)))) % 0.48/0.82 (assume @p258 (forall @t199 (= @t278 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 (tptp.c_Relation_Orel__comp @t278 @t114 @t1 @t1 @t1) @t95)))) % 0.48/0.82 (assume @p259 (forall @t368 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t275 @t95) @t99))) % 0.48/0.82 (assume @p260 (forall @t368 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t42 @t275 @t95) @t1) @t99))) % 0.48/0.82 (assume @p261 (forall @t199 (= (tptp.c_Transitive__Closure_Ortrancl @t276 @t1) @t305))) % 0.48/0.82 (assume @p262 (forall @t199 (or (tptp.c_Relation_Oantisym @t305 @t1) @t277))) % 0.48/0.82 (assume @p263 (forall @t199 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t114 @t314 @t95) @t1))) % 0.48/0.82 (assume @p264 (forall @t199 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t114 @t314 @t95) @t1))) % 0.48/0.82 (assume @p265 (forall @t199 (or (tptp.c_Relation_Otrans @t369 @t1) @t309))) % 0.48/0.82 (assume @p266 (forall (@list @t17 @t1 @t15) (= (tptp.c_Relation_OImage @t370 @t15 @t1 @t1) @t60))) % 0.48/0.82 (assume @p267 (forall @t199 (or @t372 (not @t371)))) % 0.48/0.82 (assume @p268 (forall @t199 (or @t371 @t373))) % 0.48/0.82 (assume @p269 (forall @t217 (or @t216 (not @t374)))) % 0.48/0.82 (assume @p270 (forall @t217 (or @t374 @t375))) % 0.48/0.82 (assume @p271 (forall @t199 (= (tptp.c_Transitive__Closure_Otrancl @t369 @t1) @t305))) % 0.48/0.82 (assume @p272 (forall @t199 (= @t305 @t306))) % 0.48/0.82 (assume @p273 (forall @t299 (or @t293 @t147))) % 0.48/0.82 (assume @p274 (forall @t199 (= @t305 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t275 @t376 @t95)))) % 0.48/0.82 (assume @p275 (= (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))) % 0.48/0.82 (assume @p276 (forall @t199 (or @t343 (tptp.c_in (tptp.c_Pair @t377 @t377 @t1 @t1) @t114 @t94)))) % 0.48/0.82 (assume @p277 (forall @t51 (tptp.c_lessequals @t370 @t292 @t95))) % 0.48/0.82 (assume @p278 (forall @t46 (or (= @t127 @t126) (not (tptp.c_Relation_Osingle__valued (tptp.hAPP @t206 @t42) @t1 @t23))))) % 0.48/0.82 (assume @p279 (forall @t199 (or (tptp.c_Relation_Otrans @t276 @t1) @t373 @t309))) % 0.48/0.82 (assume @p280 (forall @t199 (or @t379 (not (tptp.c_in (tptp.c_Pair @t378 @t378 @t1 @t1) @t114 @t94))))) % 0.48/0.82 (assume @p281 (forall @t217 (or @t214 @t375 @t380 @t309))) % 0.48/0.82 (assume @p282 (forall @t353 (or (tptp.c_in (tptp.c_Pair @t352 @t72 @t23 @t1) @t114 @t48) @t351))) % 0.48/0.82 (assume @p283 (forall @t365 (or (tptp.c_in (tptp.c_Pair @t364 @t3 @t1 @t1) @t42 @t94) @t363))) % 0.48/0.82 (assume @p284 (forall @t382 (or @t360 @t381 (not (tptp.c_in (tptp.c_Pair @t5 @t359 @t1 @t1) @t114 @t94)) @t358))) % 0.48/0.82 (assume @p285 (forall @t349 (or @t384 (not @t383) @t345))) % 0.48/0.82 (assume @p286 (forall (@list @t17 @t15 @t23 @t14 @t1 @t3) (or @t383 (not @t384) @t345))) % 0.48/0.82 (assume @p287 (forall @t291 (or @t290 (tptp.c_in @t288 @t17 @t1) @t165))) % 0.48/0.82 (assume @p288 (forall @t388 (or @t387 @t255))) % 0.48/0.82 (assume @p289 (forall @t389 (or @t254 @t386 @t277))) % 0.48/0.82 (assume @p290 (forall (@list @t70 @t114 @t1 @t17) (or (tptp.c_in @t70 @t283 @t1) @t327 @t281))) % 0.48/0.82 (assume @p291 (forall (@list @t114 @t14 @t1 @t23 @t15 @t17) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t114 @t14 @t1 @t23) @t15 @t24) @t300))) % 0.48/0.82 (assume @p292 (forall @t141 (or (tptp.c_lessequals @t305 @t117 @t95) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t305 @t117 @t95) @t114 @t1 @t1 @t1) @t117 @t95)) (not (tptp.c_lessequals @t275 @t117 @t95))))) % 0.48/0.82 (assume @p293 (forall @t393 (or @t392 (not @t390)))) % 0.48/0.82 (assume @p294 (forall (@list @t72 @t114 @t70 @t23 @t1) (or @t390 (not @t392)))) % 0.48/0.82 (assume @p295 (forall @t397 (or @t396 @t395 @t281))) % 0.48/0.82 (assume @p296 (forall @t400 (or @t399 @t398 @t281))) % 0.48/0.82 (assume @p297 (forall @t400 (or (not @t399) @t285 @t401 @t281))) % 0.48/0.82 (assume @p298 (forall @t397 (or @t404 @t281 @t394 @t403 @t79))) % 0.48/0.82 (assume @p299 (forall @t397 (or @t396 @t395 @t403 @t79 @t281))) % 0.48/0.82 (assume @p300 (forall @t397 (or @t404 @t403 @t79 @t281 @t394))) % 0.48/0.82 (assume @p301 (forall (@list @t70 @t17 @t1 @t72 @t114) (or @t210 @t203 @t294 @t406))) % 0.48/0.82 (assume @p302 (forall @t400 (or (tptp.c_lessequals @t283 @t282 @t13) @t398 @t281))) % 0.48/0.82 (assume @p303 (forall (@list @t70 @t72 @t1 @t114 @t17) (or @t285 @t401 (not (tptp.c_lessequals @t282 @t283 @t13)) @t281))) % 0.48/0.82 (assume @p304 (forall @t389 (or @t407 @t386 @t139))) % 0.48/0.83 (assume @p305 (forall @t295 (or (tptp.c_lessequals @t114 @t408 @t95) @t147))) % 0.48/0.83 (assume @p306 (forall @t413 (or (tptp.c_in (tptp.c_Pair @t3 @t412 @t1 @t1) @t42 @t94) @t411))) % 0.48/0.83 (assume @p307 (forall @t415 (or (tptp.c_in (tptp.c_Pair @t414 @t5 @t1 @t1) @t42 @t94) @t411))) % 0.48/0.83 (assume @p308 (forall @t199 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t114 @t114 @t1 @t1 @t1) @t114 @t95) @t309))) % 0.48/0.83 (assume @p309 (forall (@list @t416 @t117 @t1 @t114) (or (tptp.c_in @t416 (tptp.c_Transitive__Closure_Otrancl @t117 @t1) @t94) @t298 (not @t417)))) % 0.48/0.83 (assume @p310 (forall @t256 (or @t138 @t418))) % 0.48/0.83 (assume @p311 (forall (@list @t25 @t3 @t15 @t1 @t17 @t23) (or (tptp.c_in @t420 @t15 @t1) @t419 (not (tptp.c_lessequals @t27 @t15 @t13))))) % 0.48/0.83 (assume @p312 (forall @t422 (or (= (tptp.c_Set_Oinsert @t420 @t421 @t23) @t421) @t79))) % 0.48/0.83 (assume @p313 (forall @t190 (or (not (tptp.class_Orderings_Olinorder @t1)) @t175 @t171))) % 0.48/0.83 (assume @p314 (forall (@list @t334 @t424 @t1 @t23 @t114 @t17) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t334 @t424 @t1 @t23) @t425 @t24) (not (tptp.c_lessequals @t424 @t17 @t13)) @t423))) % 0.48/0.83 (assume @p315 (forall (@list @t70 @t14 @t1 @t166) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t70 @t14 @t1) (tptp.c_Set_Oinsert @t70 @t166 @t1) @t13) (not (tptp.c_lessequals @t14 @t166 @t13))))) % 0.48/0.83 (assume @p316 (forall @t426 (or (not (tptp.c_lessequals @t3 @t17 @t24)) (tptp.c_lessequals (tptp.c_Set_Oimage @t25 @t3 @t23 @t1) @t27 @t13)))) % 0.48/0.83 (assume @p317 (forall (@list @t25 @t17 @t1 @t23 @t15) (or (tptp.c_lessequals @t421 (tptp.c_Set_Oimage @t25 @t15 @t1 @t23) @t24) @t169))) % 0.48/0.83 (assume @p318 (forall @t429 (or (tptp.c_lessequals @t428 (tptp.c_Relation_ODomain @t117 @t1 @t23) @t13) @t427))) % 0.48/0.83 (assume @p319 (forall @t429 (or @t430 (not (tptp.c_Relation_Osingle__valued @t117 @t1 @t23)) @t427))) % 0.48/0.83 (assume @p320 (forall @t433 (or @t432 @t431 @t274))) % 0.48/0.83 (assume @p321 (forall @t141 (or @t372 (not (tptp.c_Relation_Oantisym @t117 @t1)) @t298))) % 0.48/0.83 (assume @p322 (forall @t50 (or @t435 @t434))) % 0.48/0.83 (assume @p323 (forall @t50 (or @t436 @t434))) % 0.48/0.83 (assume @p324 (forall (@list @t416 @t1 @t114) (or (tptp.c_Wellfounded_Owf @t416 @t1) (not (tptp.c_lessequals @t416 @t114 @t95)) @t139))) % 0.48/0.83 (assume @p325 (forall @t433 (or @t432 @t274 @t431))) % 0.48/0.83 (assume @p326 (forall @t312 (or @t164 @t178 @t169))) % 0.48/0.83 (assume @p327 (forall @t51 (tptp.c_lessequals @t17 @t17 @t13))) % 0.48/0.83 (assume @p328 (forall @t265 (tptp.c_lessequals @t3 @t3 @t13))) % 0.48/0.83 (assume @p329 (forall @t239 (or @t435 @t192 @t195 @t172))) % 0.48/0.83 (assume @p330 (forall (@list @t1 @t2 @t3 @t5) (or @t436 @t191 (not (tptp.c_lessequals @t2 @t5 @t1)) @t176))) % 0.48/0.83 (assume @p331 (forall @t91 (or @t437 @t169 @t88))) % 0.48/0.83 (assume @p332 (forall @t249 (tptp.hBOOL (tptp.hAPP @t89 @t3)))) % 0.48/0.83 (assume @p333 (forall (@list @t25 @t70 @t15 @t23 @t1) (= (tptp.c_Set_Oimage @t25 (tptp.c_Set_Oinsert @t70 @t15 @t23) @t23 @t1) (tptp.c_Set_Oinsert @t438 @t26 @t1)))) % 0.48/0.83 (assume @p334 (forall @t141 (or @t440 (not (tptp.c_lessequals @t114 @t439 @t95))))) % 0.48/0.83 (assume @p335 (forall @t174 (or @t436 @t441 @t172 @t176))) % 0.48/0.83 (assume @p336 (forall @t174 (or @t436 @t441 @t176 @t172))) % 0.48/0.83 (assume @p337 (forall @t39 (or @t344 @t170 @t169))) % 0.48/0.83 (assume @p338 (forall (@list @t15 @t70 @t1) (tptp.c_lessequals @t15 @t103 @t13))) % 0.48/0.83 (assume @p339 (forall @t141 (or @t440 @t298))) % 0.48/0.83 (assume @p340 (forall @t442 (= (tptp.c_Relation_ODomain (tptp.c_Set_Oinsert @t160 @t114 @t65) @t1 @t23) (tptp.c_Set_Oinsert @t70 @t428 @t1)))) % 0.48/0.83 (assume @p341 (forall (@list @t17 @t3 @t5 @t1) (or @t132 @t445 (not @t444)))) % 0.48/0.83 (assume @p342 (forall @t249 (= (tptp.c_Set_Oinsert @t3 @t89 @t1) @t89))) % 0.48/0.83 (assume @p343 (forall (@list @t17 @t72 @t15 @t1) (or (tptp.c_lessequals @t17 @t446 @t13) @t169))) % 0.48/0.83 (assume @p344 (forall @t136 (or @t168 @t447))) % 0.48/0.83 (assume @p345 (forall (@list @t334 @t448 @t1 @t23 @t223 @t114 @t117) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t334 @t448 @t1 @t23 @t223) @t304 @t226) (not (tptp.c_lessequals @t448 @t117 @t302)) @t423))) % 0.48/0.83 (assume @p346 (forall (@list @t3 @t5 @t17 @t1) (= (tptp.c_Set_Oinsert @t3 @t443 @t1) (tptp.c_Set_Oinsert @t5 @t89 @t1)))) % 0.48/0.83 (assume @p347 (forall (@list @t47 @t1 @t42) (or (= @t98 @t99) (not (tptp.c_lessequals @t47 @t99 @t95)) (not (tptp.c_lessequals @t42 @t47 @t95))))) % 0.48/0.83 (assume @p348 (forall @t307 (or @t87 @t447))) % 0.48/0.83 (assume @p349 (forall (@list @t5 @t17 @t1 @t3) (or @t444 @t137))) % 0.48/0.83 (assume @p350 (forall @t86 (or @t82 @t169 @t78))) % 0.48/0.83 (assume @p351 (forall @t136 (or @t168 @t78 @t83))) % 0.48/0.83 (assume @p352 (forall @t136 (or @t168 @t83 @t78))) % 0.48/0.83 (assume @p353 (forall (@list @t449 @t1 @t450) (or (tptp.c_lessequals (tptp.c_Wellfounded_Oacc @t449 @t1) (tptp.c_Wellfounded_Oacc @t450 @t1) @t13) (not (tptp.c_lessequals @t450 @t449 @t95))))) % 0.48/0.83 (assume @p354 (forall @t393 (= (tptp.c_Relation_ORange (tptp.c_Set_Oinsert @t391 @t114 @t48) @t23 @t1) (tptp.c_Set_Oinsert @t72 @t451 @t1)))) % 0.48/0.83 (assume @p355 (forall (@list @t23 @t25 @t3 @t452 @t1) (or (not (tptp.class_HOL_Oord @t23)) (tptp.c_lessequals @t420 (tptp.hAPP @t452 @t3) @t23) (not (tptp.c_lessequals @t25 @t452 (tptp.tc_fun @t1 @t23)))))) % 0.48/0.83 (assume @p356 (forall (@list @t70 @t72 @t17 @t1) (or @t453 @t327))) % 0.48/0.83 (assume @p357 (forall (@list @t70 @t72 @t15 @t1) (or (tptp.c_in @t70 @t446 @t1) (not (tptp.c_in @t70 @t15 @t1))))) % 0.48/0.83 (assume @p358 (forall (@list @t454 @t15 @t1 @t17) (or (tptp.c_in @t454 @t15 @t1) (not (tptp.c_in @t454 @t17 @t1)) @t169))) % 0.48/0.83 (assume @p359 (forall @t307 (or @t87 @t169 @t79))) % 0.48/0.83 (assume @p360 (forall @t269 (or @t259 @t258 @t169))) % 0.48/0.83 (assume @p361 (forall @t307 (or @t87 @t79 @t169))) % 0.48/0.83 (assume @p362 (forall (@list @t70 @t17 @t1 @t72) (or @t210 @t203 (not @t453)))) % 0.48/0.83 (assume @p363 (forall @t249 (tptp.c_in @t3 @t89 @t1))) % 0.48/0.83 (assume @p364 (forall (@list @t70 @t15 @t1) (tptp.c_in @t70 @t103 @t1))) % 0.48/0.83 (assume @p365 (forall (@list @t3 @t15 @t1) (tptp.c_in @t3 @t81 @t1))) % 0.48/0.83 (assume @p366 (forall @t91 (or (not (= @t89 @t81)) @t87 @t78 @t344))) % 0.48/0.83 (assume @p367 (forall @t111 (or (= @t110 @t17) @t327))) % 0.48/0.83 (assume @p368 (forall @t388 (or @t387 @t418))) % 0.48/0.83 (assume @p369 (forall @t415 (or (tptp.c_in (tptp.c_Pair @t412 @t5 @t1 @t1) @t99 @t94) @t411))) % 0.48/0.83 (assume @p370 (forall @t413 (or (tptp.c_in (tptp.c_Pair @t3 @t414 @t1 @t1) @t99 @t94) @t411))) % 0.48/0.83 (assume @p371 (forall @t316 (or (tptp.c_lessequals @t408 @t114 @t95) @t309 @t116))) % 0.48/0.83 (assume @p372 (forall @t456 (or (tptp.c_in @t416 @t305 @t94) @t455))) % 0.48/0.83 (assume @p373 (forall @t456 (or @t417 @t455))) % 0.48/0.83 (assume @p374 (forall @t461 (or @t460 @t458 @t398))) % 0.48/0.83 (assume @p375 (forall @t461 (or @t460 @t462 @t406))) % 0.48/0.83 (assume @p376 (forall @t464 (or @t463 @t411 @t441))) % 0.48/0.83 (assume @p377 (forall @t464 (or @t410 @t441 @t465))) % 0.48/0.83 (assume @p378 (forall (@list @t70 @t72 @t1 @t42) (or (tptp.c_in @t284 @t409 @t94) @t203 (not (tptp.c_in @t284 @t99 @t94))))) % 0.48/0.83 (assume @p379 (forall @t388 (or @t468 (not @t466)))) % 0.48/0.83 (assume @p380 (forall @t389 (or @t466 (not @t468)))) % 0.48/0.83 (assume @p381 (forall (@list @t2 @t5 @t1 @t114 @t3) (or (tptp.c_in (tptp.c_Pair @t2 @t5 @t1 @t1) @t305 @t94) (tptp.c_in @t470 @t305 @t94) (not (tptp.c_in @t469 @t305 @t94)) @t387 (not (tptp.c_Relation_Osingle__valued @t114 @t1 @t1))))) % 0.48/0.83 (assume @p382 (forall @t473 (or @t405 @t472))) % 0.48/0.83 (assume @p383 (forall @t461 (or @t460 @t458 @t472))) % 0.48/0.83 (assume @p384 (forall @t474 (or (tptp.c_in @t469 @t278 @t94) (not (tptp.c_in @t470 @t278 @t94)) @t387))) % 0.48/0.83 (assume @p385 (forall @t388 (or @t478 (not @t476)))) % 0.48/0.83 (assume @p386 (forall @t388 (or @t476 (not @t478)))) % 0.48/0.83 (assume @p387 (forall (@list @t25 @t23 @t223 @t1 @t70 @t72) (= (tptp.hAPP (tptp.c_split @t25 @t23 @t223 @t1) @t480) @t479))) % 0.48/0.83 (assume @p388 (forall (@list @t25 @t1 @t23 @t223 @t70 @t72) (= (tptp.hAPP @t481 @t160) @t479))) % 0.48/0.83 (assume @p389 (forall (@list @t42 @t70 @t72 @t80 @t1 @t23 @t223) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t42 @t70) @t72) @t80)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_split @t42 @t1 @t23 @t303) @t160) @t80)))))) % 0.48/0.83 (assume @p390 (forall @t422 (or (tptp.c_in @t420 @t421 @t23) @t79))) % 0.48/0.83 (assume @p391 (forall (@list @t25 @t3 @t17 @t23 @t1) (or @t482 @t419))) % 0.48/0.83 (assume @p392 (forall @t426 (or @t419 @t482))) % 0.48/0.83 (assume @p393 (forall (@list @t3 @t17 @t483 @t25 @t1) (or (not (tptp.c_in @t3 @t17 @t483)) (tptp.c_in @t420 (tptp.c_Set_Oimage @t25 @t17 @t483 @t1) @t1)))) % 0.48/0.83 (assume @p394 (forall @t485 (or @t484 @t139))) % 0.48/0.83 (assume @p395 (forall @t51 (tptp.c_Relation_Osingle__valued @t370 @t1 @t1))) % 0.48/0.83 (assume @p396 (forall @t199 (or (tptp.c_Relation_Osym @t278 @t1) @t116))) % 0.48/0.83 (assume @p397 (forall @t361 (or @t360 (not (tptp.hBOOL (tptp.hAPP @t40 @t486))) @t358))) % 0.48/0.83 (assume @p398 (forall @t199 (or (= @t278 @t114) @t309))) % 0.48/0.83 (assume @p399 (forall @t490 (or @t266 (not (tptp.hBOOL (tptp.hAPP @t40 @t489))) @t488))) % 0.48/0.83 (assume @p400 (forall @t199 (or @t115 (not @t491)))) % 0.48/0.83 (assume @p401 (forall @t316 (or @t491 @t116))) % 0.48/0.83 (assume @p402 (forall @t199 (= (tptp.c_Relation_ODomain @t278 @t1 @t1) @t140))) % 0.48/0.83 (assume @p403 (forall @t353 (or (tptp.c_in @t492 @t17 @t23) @t351))) % 0.48/0.83 (assume @p404 (forall @t326 (tptp.c_Relation_Osym @t275 @t1))) % 0.48/0.83 (assume @p405 (forall @t51 (tptp.c_Relation_Otrans @t370 @t1))) % 0.48/0.83 (assume @p406 (forall (@list @t1 @t42 @t23) (= (tptp.c_Relation_Orel__comp @t275 @t42 @t1 @t1 @t23) @t42))) % 0.48/0.83 (assume @p407 (forall @t113 (= (tptp.c_Relation_Orel__comp @t42 (tptp.c_Relation_OId @t23) @t1 @t23 @t23) @t42))) % 0.48/0.83 (assume @p408 (forall @t51 (tptp.c_Relation_Oantisym @t370 @t1))) % 0.48/0.83 (assume @p409 (forall @t316 (or (tptp.c_Wellfounded_Owf @t477 @t1) (not (tptp.c_Wellfounded_Owf @t314 @t1))))) % 0.48/0.83 (assume @p410 (forall @t217 (or @t146 (not @t493)))) % 0.48/0.83 (assume @p411 (forall @t494 (or @t493 @t147))) % 0.48/0.83 (assume @p412 (forall @t199 (or (tptp.c_Relation_Osym @t305 @t1) @t116))) % 0.48/0.83 (assume @p413 (forall @t368 (or @t495 @t287))) % 0.48/0.83 (assume @p414 (forall @t368 (or @t286 (not @t495)))) % 0.48/0.83 (assume @p415 (forall @t106 (= (tptp.c_Relation_OImage @t275 @t17 @t1 @t1) @t17))) % 0.48/0.83 (assume @p416 (forall @t326 (tptp.c_Relation_Osingle__valued @t275 @t1 @t1))) % 0.48/0.83 (assume @p417 (forall @t51 (= (tptp.c_Relation_ODomain @t370 @t1 @t1) @t17))) % 0.48/0.83 (assume @p418 (forall @t316 (or @t496 @t116))) % 0.48/0.83 (assume @p419 (forall @t316 (or (not @t496) @t115))) % 0.48/0.83 (assume @p420 (forall @t199 (= (tptp.c_Relation_ORange @t278 @t1 @t1) (tptp.c_Relation_ORange @t114 @t1 @t1)))) % 0.48/0.83 (assume @p421 (forall @t199 (tptp.c_Relation_Otrans @t278 @t1))) % 0.48/0.83 (assume @p422 (forall (@list @t23 @t1 @t114 @t117 @t223) (= (tptp.hAPP @t206 (tptp.c_Relation_Orel__comp @t114 @t117 @t23 @t223 @t1)) (tptp.c_Relation_Orel__comp (tptp.hAPP (tptp.c_Relation_Oconverse @t223 @t1) @t117) (tptp.hAPP (tptp.c_Relation_Oconverse @t23 @t223) @t114) @t1 @t223 @t23)))) % 0.48/0.83 (assume @p423 (forall @t51 (tptp.c_Relation_Osym @t370 @t1))) % 0.48/0.83 (assume @p424 (forall @t51 (tptp.c_Relation_Orefl__on @t17 @t370 @t1))) % 0.48/0.83 (assume @p425 (forall @t498 (or (tptp.c_Wellfounded_Owf @t497 @t23) @t139))) % 0.48/0.83 (assume @p426 (forall @t199 (= @t499 @t376))) % 0.48/0.83 (assume @p427 (forall @t498 (or (tptp.c_Relation_Osym @t497 @t23) @t116))) % 0.48/0.83 (assume @p428 (forall @t368 (= (tptp.c_Transitive__Closure_Otrancl @t99 @t1) @t99))) % 0.48/0.83 (assume @p429 (forall @t199 (tptp.c_Relation_Otrans @t305 @t1))) % 0.48/0.83 (assume @p430 (forall @t199 (or @t308 (not @t500)))) % 0.48/0.83 (assume @p431 (forall @t316 (or @t500 @t309))) % 0.48/0.83 (assume @p432 (forall @t326 (= (tptp.hAPP @t313 @t275) @t275))) % 0.48/0.83 (assume @p433 (forall @t199 (or (tptp.c_Wellfounded_Owf @t278 @t1) @t139))) % 0.48/0.83 (assume @p434 (forall (@list @t42 @t47 @t1 @t501 @t223 @t224 @t23) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t42 @t47 @t1 @t501 @t223) @t224 @t1 @t223 @t23) (tptp.c_Relation_Orel__comp @t42 (tptp.c_Relation_Orel__comp @t47 @t224 @t501 @t223 @t23) @t1 @t501 @t23)))) % 0.48/0.83 (assume @p435 (forall (@list @t1 @t42 @t25 @t23) (= (tptp.hAPP @t313 (tptp.c_Relation_Oinv__image @t42 @t25 @t23 @t1)) (tptp.c_Relation_Oinv__image (tptp.hAPP (tptp.c_Relation_Oconverse @t23 @t23) @t42) @t25 @t23 @t1)))) % 0.48/0.83 (assume @p436 (forall @t316 (= @t475 @t477))) % 0.48/0.83 (assume @p437 (forall @t498 (or (tptp.c_Relation_Otrans @t497 @t23) @t309))) % 0.48/0.83 (assume @p438 (forall @t106 (= (tptp.hAPP @t313 @t370) @t370))) % 0.48/0.83 (assume @p439 (forall @t316 (or (not @t502) (tptp.c_Equiv__Relations_Oequiv @t140 @t114 @t1)))) % 0.48/0.83 (assume @p440 (forall @t326 (tptp.c_Relation_Oantisym @t275 @t1))) % 0.48/0.83 (assume @p441 (forall (@list @t1 @t23 @t114) (= (tptp.c_Relation_ORange @t503 @t23 @t1) @t428))) % 0.48/0.83 (assume @p442 (forall (@list @t41 @t114 @t1 @t36) (or (tptp.c_in @t505 @t41 @t1) @t504 @t139))) % 0.48/0.83 (assume @p443 (forall @t51 (= (tptp.c_Relation_ORange @t370 @t1 @t1) @t17))) % 0.48/0.83 (assume @p444 (forall (@list @t114 @t117 @t1 @t23 @t223) (or (tptp.c_Relation_Osingle__valued @t304 @t1 @t223) (not (tptp.c_Relation_Osingle__valued @t117 @t23 @t223)) @t506))) % 0.48/0.83 (assume @p445 (forall @t507 (= (tptp.hAPP @t206 @t503) @t114))) % 0.48/0.83 (assume @p446 (forall @t326 (tptp.c_Relation_Otrans @t275 @t1))) % 0.48/0.83 (assume @p447 (forall (@list @t1 @t114 @t17) (or @t502 @t281))) % 0.48/0.83 (assume @p448 (forall @t368 (= (tptp.c_Relation_Orel__comp @t99 @t99 @t1 @t1 @t1) @t99))) % 0.48/0.83 (assume @p449 (forall @t199 (or @t372 (not @t508)))) % 0.48/0.83 (assume @p450 (forall @t316 (or @t508 @t373))) % 0.48/0.83 (assume @p451 (forall @t490 (or @t266 (not (tptp.hBOOL (tptp.hAPP @t40 @t509))) @t488))) % 0.48/0.83 (assume @p452 (forall @t217 (or @t146 @t281))) % 0.48/0.83 (assume @p453 (forall @t316 (= @t467 (tptp.hAPP @t313 @t305)))) % 0.48/0.83 (assume @p454 (forall (@list @t41 @t42 @t1 @t3) (or (tptp.c_in @t511 @t41 @t1) @t510 @t287))) % 0.48/0.83 (assume @p455 (forall @t295 (or @t115 @t281))) % 0.48/0.83 (assume @p456 (forall @t485 (or @t484 (not (tptp.c_in @t512 @t356 @t1))))) % 0.48/0.83 (assume @p457 (forall (@list @t514 @t25 @t70 @t23 @t223 @t17 @t1 @t513) (or (tptp.c_Equiv__Relations_Ocongruent @t514 @t438 @t23 @t223) @t327 @t515 (not (tptp.c_Equiv__Relations_Oequiv @t17 @t513 @t1))))) % 0.48/0.83 (assume @p458 (forall @t507 (= @t516 @t451))) % 0.48/0.83 (assume @p459 (forall @t199 (= @t278 @t376))) % 0.48/0.83 (assume @p460 (forall @t199 (= @t278 @t499))) % 0.48/0.83 (assume @p461 (forall (@list @t114 @t23 @t1) (= @t451 @t516))) % 0.48/0.83 (assume @p462 (forall @t217 (or @t216 (not @t517)))) % 0.48/0.83 (assume @p463 (forall @t494 (or @t517 @t375))) % 0.48/0.83 (assume @p464 (forall @t295 (or @t308 @t281))) % 0.48/0.83 (assume @p465 (forall @t361 (or @t360 (tptp.c_in @t486 @t356 @t1) @t358))) % 0.48/0.83 (assume @p466 (forall @t368 (= (tptp.c_Transitive__Closure_Ortrancl @t409 @t1) @t99))) % 0.48/0.83 (assume @p467 (forall @t199 (= (tptp.c_Transitive__Closure_Ortrancl @t305 @t1) @t305))) % 0.48/0.83 (assume @p468 (forall @t519 (or @t266 @t381 (not (tptp.c_in (tptp.c_Pair @t5 @t509 tptp.t_a tptp.t_a) @t114 @t518)) @t488))) % 0.48/0.83 (assume @p469 (forall (@list @t5 @t41 @t1 @t42 @t3) (or @t520 (not (tptp.c_in (tptp.c_Pair @t5 @t511 @t1 @t1) @t42 @t94)) @t510 @t287))) % 0.48/0.83 (assume @p470 (forall (@list @t72 @t114 @t1 @t23) (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRangeE__1__1 @t72 @t114 @t1 @t23) @t72 @t23 @t1) @t114 @t48) (not (tptp.c_in @t72 @t451 @t1))))) % 0.48/0.83 (assume @p471 (forall @t485 (or @t484 (tptp.c_in (tptp.c_Pair @t512 @t3 @t1 @t1) @t114 @t94)))) % 0.48/0.83 (assume @p472 (forall @t524 (or @t523 @t358 @t522))) % 0.48/0.83 (assume @p473 (forall @t524 (or @t523 @t522 @t358))) % 0.48/0.83 (assume @p474 (forall @t527 (or @t266 @t526 (not (tptp.c_in (tptp.c_Pair @t525 @t489 tptp.t_a tptp.t_a) @t114 @t518)) @t488))) % 0.48/0.83 (assume @p475 (forall (@list @t3 @t42 @t1) (or @t529 @t528))) % 0.48/0.83 (assume @p476 (forall @t519 (or @t266 @t381 (not (tptp.c_in (tptp.c_Pair @t5 @t489 tptp.t_a tptp.t_a) @t114 @t518)) @t488))) % 0.48/0.83 (assume @p477 (forall (@list @t25 @t70 @t72 @t1 @t23 @t223 @t17) (or (tptp.c_in @t479 (tptp.c_Set_Oimage @t481 @t17 @t65 @t223) @t223) (not (tptp.c_in @t160 @t17 @t65))))) % 0.48/0.83 (assume @p478 (forall @t532 (or (tptp.c_in (tptp.c_Pair @t70 (tptp.c_ATP__Linkup_Osko__Relation__XDomainE__1__1 @t70 @t114 @t1 @t23) @t1 @t23) @t114 @t65) @t531))) % 0.48/0.83 (assume @p479 (forall @t527 (or @t266 @t526 (not (tptp.c_in (tptp.c_Pair @t525 @t509 tptp.t_a tptp.t_a) @t114 @t518)) @t488))) % 0.48/0.83 (assume @p480 (forall @t382 (or @t360 @t381 (not (tptp.c_in (tptp.c_Pair @t5 @t486 @t1 @t1) @t114 @t94)) @t358))) % 0.48/0.83 (assume @p481 (forall (@list @t5 @t41 @t1 @t114 @t36) (or @t520 (not (tptp.c_in (tptp.c_Pair @t5 @t505 @t1 @t1) @t114 @t94)) @t504 @t139))) % 0.48/0.83 (assume @p482 (forall @t532 (or (tptp.c_in (tptp.c_Pair @t70 (tptp.c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1 @t70 @t114 @t1 @t23) @t1 @t23) @t114 @t65) @t531))) % 0.48/0.83 (assume @p483 (forall @t353 (or (tptp.c_in (tptp.c_Pair @t492 @t72 @t23 @t1) @t114 @t48) @t351))) % 0.48/0.83 (assume @p484 (forall @t464 (or @t441 @t465 @t529))) % 0.48/0.83 (assume @p485 (forall @t532 (or (tptp.c_in (tptp.c_Pair (tptp.c_ATP__Linkup_Osko__Relation__XRange__iff__1__1 @t70 @t114 @t1 @t23) @t70 @t23 @t1) @t114 @t48) (not @t533)))) % 0.48/0.83 (assume @p486 (forall (@list @t2 @t80 @t23 @t223 @t1 @t70 @t72) (or (tptp.c_in @t2 (tptp.hAPP (tptp.c_split @t80 @t23 @t223 @t13) @t480) @t1) (not (tptp.c_in @t2 (tptp.hAPP (tptp.hAPP @t80 @t70) @t72) @t1))))) % 0.48/0.83 (assume @p487 (forall (@list @t25 @t535 @t538 @t534 @t537 @t23 @t514 @t1 @t513 @t223) (or (= (tptp.hAPP (tptp.hAPP @t25 @t535) @t538) (tptp.hAPP (tptp.hAPP @t25 @t534) @t537)) (not (tptp.c_in (tptp.c_Pair @t538 @t537 @t23 @t23) @t514 @t536)) (not (tptp.c_in (tptp.c_Pair @t535 @t534 @t1 @t1) @t513 @t94)) @t515))) % 0.48/0.83 (assume @p488 (forall (@list @t5 @t2 @t3 @t1 @t23 @t114) (or @t540 (not (tptp.c_in (tptp.c_Pair @t3 @t2 @t1 @t23) @t114 @t65)) (not (tptp.c_in @t539 @t114 @t65)) @t506))) % 0.48/0.83 (assume @p489 (forall (@list @t25 @t42 @t70 @t1 @t23 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t25 @t42 @t70 @t1 @t23) @t3) @t420) (not (tptp.c_in @t541 @t42 @t94))))) % 0.48/0.83 (assume @p490 (forall (@list @t25 @t114 @t70 @t1 @t23 @t3) (or (= (tptp.hAPP (tptp.c_Recdef_Ocut @t25 @t114 @t70 @t1 @t23) @t3) @t420) @t542))) % 0.48/0.83 (assume @p491 (forall (@list @t42 @t3 @t5 @t1 @t23) (or @t544 (not @t543)))) % 0.48/0.83 (assume @p492 (forall (@list @t3 @t5 @t1 @t23 @t42) (or @t543 (not @t544)))) % 0.48/0.83 (assume @p493 (forall @t474 (or (tptp.c_in @t469 @t114 @t94) @t545 @t395 @t309))) % 0.48/0.83 (assume @p494 (forall @t461 (or (tptp.c_in @t459 @t114 @t94) @t462 @t398 @t309))) % 0.48/0.83 (assume @p495 (forall @t442 (or @t548 (not @t547)))) % 0.48/0.83 (assume @p496 (forall @t550 (or (tptp.c_in @t546 @t503 @t48) @t549))) % 0.48/0.83 (assume @p497 (forall @t550 (or @t547 (not @t548)))) % 0.48/0.83 (assume @p498 (forall @t280 (or (not @t551) @t380))) % 0.48/0.83 (assume @p499 (forall @t461 (or @t460 @t462 @t472))) % 0.48/0.83 (assume @p500 (forall @t461 (or @t460 @t552 @t398))) % 0.48/0.83 (assume @p501 (forall @t461 (or @t553 @t462 @t406))) % 0.48/0.83 (assume @p502 (forall @t461 (or @t553 @t458 @t398))) % 0.48/0.83 (assume @p503 (forall @t473 (or @t471 @t398))) % 0.48/0.83 (assume @p504 (forall @t461 (or @t553 @t458 @t406))) % 0.48/0.83 (assume @p505 (forall @t555 (tptp.c_in @t554 @t305 @t94))) % 0.48/0.83 (assume @p506 (forall (@list @t3 @t1 @t42) @t528)) % 0.48/0.83 (assume @p507 (forall (@list @t3 @t70 @t1 @t114) (or @t542 (not (tptp.c_in (tptp.c_Pair @t70 @t3 @t1 @t1) @t114 @t94)) @t139))) % 0.48/0.83 (assume @p508 (forall @t388 (or @t441 @t557 @t395 @t373))) % 0.48/0.83 (assume @p509 (forall @t473 (or @t203 (not @t558) @t398 @t373))) % 0.48/0.83 (assume @p510 (forall (@list @t25 @t5 @t2 @t1 @t114 @t23) (or (= @t559 (tptp.hAPP @t25 @t2)) @t545 (not (tptp.c_Equiv__Relations_Ocongruent @t114 @t25 @t1 @t23))))) % 0.48/0.83 (assume @p511 (forall (@list @t3 @t5 @t1 @t17) (or @t441 @t560))) % 0.48/0.83 (assume @p512 (forall (@list @t25 @t114 @t3 @t1 @t23 @t452 @t5) (or (not (= (tptp.c_Recdef_Ocut @t25 @t114 @t3 @t1 @t23) (tptp.c_Recdef_Ocut @t452 @t114 @t3 @t1 @t23))) (= @t559 (tptp.hAPP @t452 @t5)) @t557))) % 0.48/0.83 (assume @p513 (forall (@list @t70 @t72 @t1) (or @t203 (not (tptp.c_in @t284 @t275 @t94))))) % 0.48/0.83 (assume @p514 (forall @t280 (or @t551 (not @t379)))) % 0.48/0.83 (assume @p515 (forall @t555 (or (not @t561) @t139))) % 0.48/0.83 (assume @p516 (forall (@list @t3 @t5 @t1 @t114 @t25 @t23) (or @t563 (not @t562)))) % 0.48/0.83 (assume @p517 (forall (@list @t25 @t3 @t5 @t23 @t114 @t1) (or @t562 (not @t563)))) % 0.48/0.83 (assume @p518 (forall @t389 (or @t556 @t395 @t116))) % 0.48/0.83 (assume @p519 (forall (@list @t72 @t70 @t1 @t114) (or @t558 @t398 @t116))) % 0.48/0.83 (assume @p520 (forall (@list @t70 @t80 @t1 @t223 @t114 @t117 @t23 @t72) (or (tptp.c_in (tptp.c_Pair @t70 @t80 @t1 @t223) @t304 @t225) (not (tptp.c_in (tptp.c_Pair @t72 @t80 @t23 @t223) @t117 @t301)) @t549))) % 0.48/0.83 (assume @p521 (forall (@list @t70 @t80 @t1 @t42 @t72) (or (tptp.c_in @t459 @t409 @t94) (not (tptp.c_in @t457 @t42 @t94)) (not (tptp.c_in @t284 @t42 @t94))))) % 0.48/0.83 (assume @p522 (forall @t461 (or @t460 @t552 @t472))) % 0.48/0.83 (assume @p523 (forall @t265 (tptp.c_in @t279 @t275 @t94))) % 0.48/0.83 (assume @p524 (forall @t268 (tptp.c_in @t554 @t275 @t94))) % 0.48/0.83 (assume @p525 (forall @t571 (or @t570 @t569 @t441 @t564))) % 0.48/0.83 (assume @p526 (forall @t571 (or @t570 @t569 @t540 @t564))) % 0.48/0.83 (assume @p527 (forall @t574 (not (tptp.c_in @t573 @t572 @t565)))) % 0.48/0.83 (assume @p528 (forall @t575 (not (tptp.c_in @t567 @t572 @t565)))) % 0.48/0.83 (assume @p529 (forall @t571 (or @t568 @t540 (not @t570)))) % 0.48/0.83 (assume @p530 (forall @t575 (or @t441 @t445 (tptp.c_in @t567 @t576 @t565)))) % 0.48/0.83 (assume @p531 (forall @t574 (not (tptp.c_in @t573 @t576 @t565)))) % 0.48/0.83 (assume @p532 (forall @t578 (not (tptp.c_in @t577 @t576 @t565)))) % 0.48/0.83 (assume @p533 (forall @t571 (or @t579 @t569 @t441 @t540))) % 0.48/0.83 (assume @p534 (forall @t571 (or @t579 @t569 @t564 @t540))) % 0.48/0.83 (assume @p535 (forall @t578 (or @t580 @t580 (tptp.c_in @t577 @t572 @t565)))) % 0.48/0.83 (assume @p536 (forall @t571 (or @t568 @t564 (not @t579)))) % 0.48/0.83 (assume @p537 (forall (@list @t70 @t72) (or (tptp.c_in (tptp.c_Pair @t70 @t72 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) (tptp.v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1 @t70 @t72) @t565) @t203))) % 0.48/0.83 (assume @p538 (forall (@list @t70 @t72 @t1 @t23 @t17 @t15) (or @t582 (not @t581) @t327))) % 0.48/0.83 (assume @p539 (forall (@list @t70 @t114 @t1 @t72) (or @t357 @t398 (not @t523)))) % 0.48/0.83 (assume @p540 (forall (@list @t5 @t114 @t1 @t70) (or (tptp.c_in @t5 @t356 @t1) (not (tptp.c_in (tptp.c_Pair @t5 @t70 @t1 @t1) @t114 @t94)) @t358))) % 0.48/0.83 (assume @p541 (forall (@list @t72 @t114 @t17 @t1 @t23 @t70) (or (tptp.c_in @t72 @t425 @t23) @t549 @t327))) % 0.48/0.83 (assume @p542 (forall (@list @t72 @t114 @t17 @t23 @t1 @t3) (or @t350 (not (tptp.c_in (tptp.c_Pair @t3 @t72 @t23 @t1) @t114 @t48)) @t419))) % 0.48/0.83 (assume @p543 (forall (@list @t3 @t17 @t1 @t5) (or @t78 @t560))) % 0.48/0.83 (assume @p544 (forall (@list @t3 @t1 @t17) (or (tptp.c_in @t279 @t370 @t94) @t79))) % 0.48/0.83 (assume @p545 (forall @t583 (or @t402 @t395 @t281))) % 0.48/0.83 (assume @p546 (forall @t584 (or @t78 @t395 @t281))) % 0.48/0.83 (assume @p547 (forall (@list @t70 @t114 @t23 @t1 @t3) (or @t533 (not (tptp.c_in (tptp.c_Pair @t3 @t70 @t23 @t1) @t114 @t48))))) % 0.48/0.83 (assume @p548 (forall (@list @t72 @t114 @t1 @t23 @t70) (or (tptp.c_in @t72 (tptp.c_Relation_ORange @t114 @t1 @t23) @t23) @t549))) % 0.48/0.83 (assume @p549 (forall (@list @t70 @t114 @t1 @t23 @t3) (or @t530 (not (tptp.c_in (tptp.c_Pair @t70 @t3 @t1 @t23) @t114 @t65))))) % 0.48/0.83 (assume @p550 (forall (@list @t70 @t114 @t1 @t23 @t72) (or @t530 @t549))) % 0.48/0.83 (assume @p551 (forall (@list @t72 @t15 @t70 @t23 @t1 @t17) (or @t581 @t585))) % 0.48/0.83 (assume @p552 (forall (@list @t70 @t17 @t1 @t72 @t23 @t15) (or @t210 @t585))) % 0.48/0.83 (assume @p553 (forall (@list @t36 @t3 @t1 @t114 @t17) (or (tptp.c_in (tptp.c_Pair @t36 @t3 @t1 @t1) @t114 @t94) (tptp.c_in (tptp.c_Pair @t3 @t36 @t1 @t1) @t114 @t94) (= @t3 @t36) (not (tptp.c_in @t36 @t17 @t1)) @t79 @t375))) % 0.48/0.83 (assume @p554 (forall (@list @t3 @t1 @t114 @t17) (or @t551 @t79 @t147))) % 0.48/0.83 (assume @p555 (forall @t583 (or @t402 @t395 @t147))) % 0.48/0.83 (assume @p556 (forall @t584 (or @t78 @t395 @t147))) % 0.48/0.83 (assume @p557 (forall (@list @t70 @t1 @t114 @t17) (or @t561 @t327 @t147))) % 0.48/0.83 (assume @p558 (not (= tptp.v_a____ tptp.v_b____))) % 0.48/0.83 (assume @p559 (forall @t589 (or @t588 (= @t72 @t586)))) % 0.48/0.83 (assume @p560 (forall @t589 (or @t588 (= @t70 @t587)))) % 0.48/0.83 (assume @p561 (forall @t595 (or @t594 (not @t592)))) % 0.48/0.83 (assume @p562 (forall @t595 (or @t592 (not @t594)))) % 0.48/0.83 (assume @p563 (not (= tptp.v_b____ tptp.v_c____))) % 0.48/0.83 (assume @p564 (forall (@list @t3 @t47 @t1) (or @t597 (not @t596)))) % 0.48/0.83 (assume @p565 (forall (@list @t47 @t3 @t1) (or @t596 (not @t597)))) % 0.48/0.83 (assume @p566 (not (= tptp.v_a____ tptp.v_c____))) % 0.48/0.83 (assume @p567 (or @t601 @t600)) % 0.48/0.83 (assume @p568 (or @t599 @t602)) % 0.48/0.83 (assume @p569 (or @t599 @t604)) % 0.48/0.83 (assume @p570 (or @t603 @t600)) % 0.48/0.83 (assume @p571 (or @t604 @t602)) % 0.48/0.83 (assume @p572 (or @t601 @t603)) % 0.48/0.83 (assume @p573 (forall @t609 (or (tptp.class_Lattices_Oupper__semilattice @t608) @t606))) % 0.48/0.83 (assume @p574 (forall @t609 (or (tptp.class_Lattices_Olower__semilattice @t608) @t606))) % 0.48/0.83 (assume @p575 (forall @t609 (or (tptp.class_Lattices_Odistrib__lattice @t608) (not (tptp.class_Lattices_Odistrib__lattice @t605))))) % 0.48/0.83 (assume @p576 (forall @t609 (or (tptp.class_Lattices_Obounded__lattice @t608) (not (tptp.class_Lattices_Obounded__lattice @t605))))) % 0.48/0.83 (assume @p577 (forall @t609 (or (tptp.class_Orderings_Opreorder @t608) (not (tptp.class_Orderings_Opreorder @t605))))) % 0.48/0.83 (assume @p578 (forall @t609 (or (tptp.class_Lattices_Olattice @t608) @t606))) % 0.48/0.83 (assume @p579 (forall @t609 (or (tptp.class_Orderings_Oorder @t608) (not (tptp.class_Orderings_Oorder @t605))))) % 0.48/0.83 (assume @p580 (forall @t609 (or (tptp.class_Orderings_Obot @t608) (not (tptp.class_Orderings_Obot @t605))))) % 0.48/0.83 (assume @p581 (forall @t609 (or (tptp.class_HOL_Oord @t608) (not (tptp.class_HOL_Oord @t605))))) % 0.48/0.83 (assume @p582 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.48/0.83 (assume @p583 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.48/0.83 (assume @p584 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.48/0.83 (assume @p585 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.48/0.83 (assume @p586 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.48/0.83 (assume @p587 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.48/0.83 (assume @p588 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.48/0.83 (assume @p589 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.48/0.83 (assume @p590 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.48/0.83 (assume @p591 (forall @t265 (tptp.c_fequal @t3 @t3 @t1))) % 0.48/0.83 (assume @p592 (forall (@list @t611 @t610 @t1) (or (= @t611 @t610) (not (tptp.c_fequal @t611 @t610 @t1))))) % 0.48/0.83 (step @p593 :rule chain_m_resolution :premises (@p569 @p572 @p567) :args (@t601 (@list false true) @t612)) % 0.48/0.83 (step @p594 :rule chain_m_resolution :premises (@p568 @p593) :args (@t599 @t613 @t614)) % 0.48/0.83 (step @p595 :rule reordering :premises (@p571) :args ((or @t602 @t604))) % 0.48/0.83 (step @p596 :rule chain_m_resolution :premises (@p595 @p593) :args (@t604 @t613 @t614)) % 0.48/0.83 (step @p597 :rule reordering :premises (@p570) :args ((or @t600 @t603))) % 0.48/0.83 (step @p598 false :rule chain_m_resolution :premises (@p597 @p596 @p594) :args (false (@list true false) @t612)) % 0.48/0.83 ) % 0.48/0.83 % SZS output end Proof % 0.48/0.83 % cvc5 exiting %------------------------------------------------------------------------------