%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT007-1 : 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 : n010.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 08:46:10 AM UTC 2026 % Result : Unsatisfiable 0.85s 1.12s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT007-1 : 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 % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:14:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.12 % SZS status Unsatisfiable % 0.85/1.12 % SZS output start Proof % 0.95/1.14 ( % 0.95/1.14 (declare-sort $$unsorted 0) % 0.95/1.14 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.95/1.14 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.95/1.14 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Order__Relation_Ostrict__linear__order__on (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_List_Omeasures (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.t_a $$unsorted) % 0.95/1.14 (declare-const tptp.c_Relation_Osym (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v_x $$unsorted) % 0.95/1.14 (declare-const tptp.tc_bool $$unsorted) % 0.95/1.14 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.v_A $$unsorted) % 0.95/1.14 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_and (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.v_r $$unsorted) % 0.95/1.14 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.95/1.14 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.95/1.14 (declare-const tptp.t_b $$unsorted) % 0.95/1.14 (define @t1 () (@var "T_a" $$unsorted)) % 0.95/1.14 (define @t2 () (@var "V_r" $$unsorted)) % 0.95/1.14 (define @t3 () (tptp.c_Transitive__Closure_Ortrancl @t2 @t1)) % 0.95/1.14 (define @t4 () (tptp.c_Relation_Orel__comp @t3 @t2 @t1 @t1 @t1)) % 0.95/1.14 (define @t5 () (tptp.c_Relation_Orel__comp @t2 @t3 @t1 @t1 @t1)) % 0.95/1.14 (define @t6 () (@list @t2 @t1)) % 0.95/1.14 (define @t7 () (tptp.tc_prod @t1 @t1)) % 0.95/1.14 (define @t8 () (tptp.tc_fun @t7 tptp.tc_bool)) % 0.95/1.14 (define @t9 () (tptp.c_Relation_OId @t1)) % 0.95/1.14 (define @t10 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t9 @t8)) % 0.95/1.14 (define @t11 () (tptp.c_Relation_Oantisym @t10 @t1)) % 0.95/1.14 (define @t12 () (tptp.c_Relation_Oantisym @t2 @t1)) % 0.95/1.14 (define @t13 () (not @t12)) % 0.95/1.14 (define @t14 () (@var "V_B" $$unsorted)) % 0.95/1.14 (define @t15 () (@var "V_A" $$unsorted)) % 0.95/1.14 (define @t16 () (= @t15 @t14)) % 0.95/1.14 (define @t17 () (@var "V_C" $$unsorted)) % 0.95/1.14 (define @t18 () (@var "V_x" $$unsorted)) % 0.95/1.14 (define @t19 () (not (tptp.hBOOL (tptp.c_in @t18 @t17 @t1)))) % 0.95/1.14 (define @t20 () (@var "T_b" $$unsorted)) % 0.95/1.14 (define @t21 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.95/1.14 (define @t22 () (tptp.c_COMBK @t17 @t21 @t20)) % 0.95/1.14 (define @t23 () (tptp.c_Product__Type_OSigma @t14 @t22 @t20 @t1)) % 0.95/1.14 (define @t24 () (tptp.c_Product__Type_OSigma @t15 @t22 @t20 @t1)) % 0.95/1.14 (define @t25 () (@list @t15 @t17 @t1 @t20 @t14 @t18)) % 0.95/1.14 (define @t26 () (tptp.tc_fun tptp.t_a @t20)) % 0.95/1.14 (define @t27 () (@list @t20)) % 0.95/1.14 (define @t28 () (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t21)) % 0.95/1.14 (define @t29 () (@var "V_c" $$unsorted)) % 0.95/1.14 (define @t30 () (tptp.hBOOL (tptp.c_in @t29 @t28 @t1))) % 0.95/1.14 (define @t31 () (tptp.hBOOL (tptp.c_in @t29 @t15 @t1))) % 0.95/1.14 (define @t32 () (not @t31)) % 0.95/1.14 (define @t33 () (@list @t29 @t15 @t1)) % 0.95/1.14 (define @t34 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.95/1.14 (define @t35 () (tptp.c_HOL_Ouminus__class_Ouminus @t18 @t1)) % 0.95/1.14 (define @t36 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.95/1.14 (define @t37 () (@list @t1 @t18)) % 0.95/1.14 (define @t38 () (tptp.c_Orderings_Obot__class_Obot @t21)) % 0.95/1.14 (define @t39 () (@list @t15 @t1)) % 0.95/1.14 (define @t40 () (@var "V_R" $$unsorted)) % 0.95/1.14 (define @t41 () (tptp.c_Transitive__Closure_Ortrancl @t40 @t1)) % 0.95/1.14 (define @t42 () (@list @t40 @t1)) % 0.95/1.14 (define @t43 () (tptp.c_Relation_Osym @t2 @t1)) % 0.95/1.14 (define @t44 () (not @t43)) % 0.95/1.14 (define @t45 () (@var "V_f" $$unsorted)) % 0.95/1.14 (define @t46 () (tptp.c_Relation_Oinv__image @t2 @t45 @t1 @t20)) % 0.95/1.14 (define @t47 () (@list @t2 @t45 @t1 @t20)) % 0.95/1.14 (define @t48 () (tptp.c_Orderings_Obot__class_Obot @t8)) % 0.95/1.14 (define @t49 () (@list @t1)) % 0.95/1.14 (define @t50 () (@var "V_S" $$unsorted)) % 0.95/1.14 (define @t51 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t50 @t8)) % 0.95/1.14 (define @t52 () (tptp.c_Transitive__Closure_Ortrancl @t51 @t1)) % 0.95/1.14 (define @t53 () (tptp.c_Transitive__Closure_Ortrancl @t50 @t1)) % 0.95/1.14 (define @t54 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t53 @t8)) % 0.95/1.14 (define @t55 () (@list @t40 @t1 @t50)) % 0.95/1.14 (define @t56 () (tptp.tc_fun @t20 tptp.tc_bool)) % 0.95/1.14 (define @t57 () (tptp.c_Orderings_Obot__class_Obot @t56)) % 0.95/1.14 (define @t58 () (= @t15 @t57)) % 0.95/1.14 (define @t59 () (tptp.c_Set_Oimage @t45 @t15 @t20 @t1)) % 0.95/1.14 (define @t60 () (tptp.c_Transitive__Closure_Otrancl @t2 @t1)) % 0.95/1.14 (define @t61 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t60 @t9 @t8)) % 0.95/1.14 (define @t62 () (@var "V_a" $$unsorted)) % 0.95/1.14 (define @t63 () (tptp.c_HOL_Ouminus__class_Ouminus @t62 @t1)) % 0.95/1.14 (define @t64 () (@var "V_b" $$unsorted)) % 0.95/1.14 (define @t65 () (tptp.c_HOL_Ouminus__class_Ouminus @t64 @t1)) % 0.95/1.14 (define @t66 () (tptp.c_lessequals @t65 @t63 @t1)) % 0.95/1.14 (define @t67 () (tptp.c_lessequals @t62 @t64 @t1)) % 0.95/1.14 (define @t68 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.95/1.14 (define @t69 () (@list @t1 @t62 @t64)) % 0.95/1.14 (define @t70 () (@list @t1 @t64 @t62)) % 0.95/1.14 (define @t71 () (tptp.c_lessequals @t15 @t14 @t21)) % 0.95/1.14 (define @t72 () (not @t71)) % 0.95/1.14 (define @t73 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t21)) % 0.95/1.14 (define @t74 () (tptp.c_lessequals @t28 @t73 @t21)) % 0.95/1.14 (define @t75 () (tptp.c_lessequals @t14 @t15 @t21)) % 0.95/1.14 (define @t76 () (@list @t14 @t15 @t1)) % 0.95/1.14 (define @t77 () (not @t75)) % 0.95/1.14 (define @t78 () (@list @t15 @t1 @t14)) % 0.95/1.14 (define @t79 () (tptp.c_Set_Ovimage @t45 @t15 @t20 @t1)) % 0.95/1.14 (define @t80 () (tptp.c_Set_Oimage @t45 @t79 @t20 @t1)) % 0.95/1.14 (define @t81 () (@list @t45 @t15 @t20 @t1)) % 0.95/1.14 (define @t82 () (tptp.tc_fun (tptp.tc_prod @t1 @t20) tptp.tc_bool)) % 0.95/1.14 (define @t83 () (tptp.c_Orderings_Obot__class_Obot @t82)) % 0.95/1.14 (define @t84 () (@var "T_c" $$unsorted)) % 0.95/1.14 (define @t85 () (tptp.tc_fun (tptp.tc_prod @t1 @t84) tptp.tc_bool)) % 0.95/1.14 (define @t86 () (tptp.tc_fun (tptp.tc_prod @t84 @t20) tptp.tc_bool)) % 0.95/1.14 (define @t87 () (tptp.c_Orderings_Otop__class_Otop @t21)) % 0.95/1.14 (define @t88 () (not (tptp.c_Fun_Oinj__on @t45 @t87 @t1 @t20))) % 0.95/1.14 (define @t89 () (tptp.c_Set_Oimage @t45 @t15 @t1 @t20)) % 0.95/1.14 (define @t90 () (@list @t45 @t15 @t1 @t20)) % 0.95/1.14 (define @t91 () (@var "V_P" $$unsorted)) % 0.95/1.14 (define @t92 () (tptp.c_Collect @t91 @t1)) % 0.95/1.14 (define @t93 () (@list @t1 @t15)) % 0.95/1.14 (define @t94 () (@list @t1 @t14)) % 0.95/1.14 (define @t95 () (tptp.c_Relation_Oconverse @t2 @t1 @t1)) % 0.95/1.14 (define @t96 () (tptp.hBOOL (tptp.c_Relation_Otrans @t95 @t1))) % 0.95/1.14 (define @t97 () (tptp.hBOOL (tptp.c_Relation_Otrans @t2 @t1))) % 0.95/1.14 (define @t98 () (not @t97)) % 0.95/1.14 (define @t99 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t21)) % 0.95/1.14 (define @t100 () (@list @t15 @t14 @t1)) % 0.95/1.14 (define @t101 () (@list @t40 @t20 @t1)) % 0.95/1.14 (define @t102 () (tptp.c_Relation_Orel__comp @t95 @t2 @t1 @t1 @t1)) % 0.95/1.14 (define @t103 () (@var "T_d" $$unsorted)) % 0.95/1.14 (define @t104 () (@var "V_T" $$unsorted)) % 0.95/1.14 (define @t105 () (tptp.c_HOL_Ouminus__class_Ouminus @t38 @t21)) % 0.95/1.14 (define @t106 () (@var "V_s" $$unsorted)) % 0.95/1.14 (define @t107 () (not (tptp.c_Relation_Osym @t106 @t1))) % 0.95/1.14 (define @t108 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t106 @t8)) % 0.95/1.14 (define @t109 () (@list @t2 @t106 @t1)) % 0.95/1.14 (define @t110 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t21)) % 0.95/1.14 (define @t111 () (tptp.c_Fun_Oinj__on @t45 @t110 @t1 @t20)) % 0.95/1.14 (define @t112 () (not @t111)) % 0.95/1.14 (define @t113 () (tptp.c_Set_Oimage @t45 @t14 @t1 @t20)) % 0.95/1.14 (define @t114 () (not (= @t89 @t113))) % 0.95/1.14 (define @t115 () (@list @t45 @t15 @t1 @t20 @t14)) % 0.95/1.14 (define @t116 () (@var "V_I" $$unsorted)) % 0.95/1.14 (define @t117 () (@var "V_i" $$unsorted)) % 0.95/1.14 (define @t118 () (not (tptp.c_lessequals @t2 @t106 @t8))) % 0.95/1.14 (define @t119 () (tptp.c_Transitive__Closure_Ortrancl @t106 @t1)) % 0.95/1.14 (define @t120 () (tptp.c_lessequals @t3 @t119 @t8)) % 0.95/1.14 (define @t121 () (@list @t2 @t1 @t106)) % 0.95/1.14 (define @t122 () (tptp.c_Relation_ODomain @t14 @t1 @t20)) % 0.95/1.14 (define @t123 () (tptp.c_Relation_ODomain @t15 @t1 @t20)) % 0.95/1.14 (define @t124 () (@list @t15 @t14 @t1 @t20)) % 0.95/1.14 (define @t125 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.95/1.14 (define @t126 () (tptp.c_Relation_Oconverse @t60 @t1 @t1)) % 0.95/1.14 (define @t127 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t14 @t20 @t21)) % 0.95/1.14 (define @t128 () (not (tptp.hBOOL (tptp.c_in @t64 @t127 @t1)))) % 0.95/1.14 (define @t129 () (not (tptp.hBOOL (tptp.c_in @t62 @t15 @t20)))) % 0.95/1.14 (define @t130 () (tptp.hAPP @t14 @t62)) % 0.95/1.14 (define @t131 () (tptp.hBOOL (tptp.c_in @t64 @t130 @t1))) % 0.95/1.14 (define @t132 () (not (tptp.hBOOL (tptp.c_in @t18 @t15 @t20)))) % 0.95/1.14 (define @t133 () (tptp.hAPP @t14 @t18)) % 0.95/1.14 (define @t134 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t57 @t15 @t20 @t21)) % 0.95/1.14 (define @t135 () (@list @t20 @t15 @t1 @t14)) % 0.95/1.14 (define @t136 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t57 @t14 @t20 @t21)) % 0.95/1.14 (define @t137 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t21)) % 0.95/1.14 (define @t138 () (= (tptp.c_Set_Oimage @t45 @t137 @t1 @t20) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t89 @t113 @t56))) % 0.95/1.14 (define @t139 () (@list @t45 @t15 @t14 @t1 @t20)) % 0.95/1.14 (define @t140 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.95/1.14 (define @t141 () (tptp.c_Set_Oimage @t45 @t14 @t20 @t1)) % 0.95/1.14 (define @t142 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t56)) % 0.95/1.14 (define @t143 () (@list @t45 @t15 @t14 @t20 @t1)) % 0.95/1.14 (define @t144 () (@var "V_F" $$unsorted)) % 0.95/1.14 (define @t145 () (tptp.c_Finite__Set_Ofinite @t144 @t1)) % 0.95/1.14 (define @t146 () (not @t145)) % 0.95/1.14 (define @t147 () (@var "V_G" $$unsorted)) % 0.95/1.14 (define @t148 () (tptp.c_Finite__Set_Ofinite @t147 @t1)) % 0.95/1.14 (define @t149 () (not @t148)) % 0.95/1.14 (define @t150 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t144 @t147 @t21) @t1)) % 0.95/1.14 (define @t151 () (@list @t144 @t147 @t1)) % 0.95/1.14 (define @t152 () (tptp.c_Relation_OImage @t40 @t14 @t20 @t1)) % 0.95/1.14 (define @t153 () (tptp.c_Relation_OImage @t40 @t15 @t20 @t1)) % 0.95/1.14 (define @t154 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t153 @t152 @t21)) % 0.95/1.14 (define @t155 () (tptp.c_Relation_OImage @t40 @t142 @t20 @t1)) % 0.95/1.14 (define @t156 () (@list @t40 @t15 @t14 @t20 @t1)) % 0.95/1.14 (define @t157 () (tptp.c_lessequals @t17 @t15 @t21)) % 0.95/1.14 (define @t158 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t17 @t21)) % 0.95/1.14 (define @t159 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t158 @t21)) % 0.95/1.14 (define @t160 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t17 @t21) @t159)) % 0.95/1.14 (define @t161 () (@list @t15 @t14 @t1 @t17)) % 0.95/1.14 (define @t162 () (not @t157)) % 0.95/1.14 (define @t163 () (tptp.hAPP @t15 @t18)) % 0.95/1.14 (define @t164 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t116 @t15 @t1 @t56)) % 0.95/1.14 (define @t165 () (tptp.hAPP @t45 @t62)) % 0.95/1.14 (define @t166 () (tptp.hBOOL (tptp.c_in @t165 @t89 @t20))) % 0.95/1.14 (define @t167 () (tptp.hBOOL (tptp.c_in @t62 @t15 @t1))) % 0.95/1.14 (define @t168 () (not @t167)) % 0.95/1.14 (define @t169 () (tptp.c_Relation_ODomain @t2 @t1 @t20)) % 0.95/1.14 (define @t170 () (tptp.c_Relation_Oconverse @t2 @t1 @t20)) % 0.95/1.14 (define @t171 () (@list @t2 @t1 @t20)) % 0.95/1.14 (define @t172 () (tptp.c_lessequals @t15 @t14 @t56)) % 0.95/1.14 (define @t173 () (tptp.tc_fun (tptp.tc_prod @t20 @t1) tptp.tc_bool)) % 0.95/1.14 (define @t174 () (tptp.c_lessequals @t24 @t23 @t173)) % 0.95/1.14 (define @t175 () (tptp.c_lessequals @t89 @t113 @t56)) % 0.95/1.14 (define @t176 () (not (tptp.c_Fun_Oinj__on @t45 @t17 @t1 @t20))) % 0.95/1.14 (define @t177 () (tptp.c_lessequals @t15 @t17 @t21)) % 0.95/1.14 (define @t178 () (not @t177)) % 0.95/1.14 (define @t179 () (tptp.c_lessequals @t14 @t17 @t21)) % 0.95/1.14 (define @t180 () (not @t179)) % 0.95/1.14 (define @t181 () (@list @t45 @t15 @t14 @t1 @t20 @t17)) % 0.95/1.14 (define @t182 () (tptp.c_Finite__Set_Ofinite @t15 @t1)) % 0.95/1.14 (define @t183 () (not @t182)) % 0.95/1.14 (define @t184 () (not (tptp.c_lessequals @t14 @t89 @t56))) % 0.95/1.14 (define @t185 () (tptp.hAPP @t45 @t18)) % 0.95/1.14 (define @t186 () (@var "V_J" $$unsorted)) % 0.95/1.14 (define @t187 () (tptp.c_Product__Type_OSigma @t186 @t17 @t1 @t20)) % 0.95/1.14 (define @t188 () (tptp.c_Product__Type_OSigma @t116 @t17 @t1 @t20)) % 0.95/1.14 (define @t189 () (@list @t116 @t186 @t1 @t17 @t20)) % 0.95/1.14 (define @t190 () (= @t137 @t38)) % 0.95/1.14 (define @t191 () (not @t190)) % 0.95/1.14 (define @t192 () (@var "V_g" $$unsorted)) % 0.95/1.14 (define @t193 () (tptp.hAPP @t192 tptp.v_x)) % 0.95/1.14 (define @t194 () (tptp.hAPP @t45 tptp.v_x)) % 0.95/1.14 (define @t195 () (not (tptp.class_Lattices_Olattice @t20))) % 0.95/1.14 (define @t196 () (@list @t20 @t45 @t192)) % 0.95/1.14 (define @t197 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t15 @t21)) % 0.95/1.14 (define @t198 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t15 @t21)) % 0.95/1.14 (define @t199 () (@list @t14 @t17 @t1 @t15)) % 0.95/1.14 (define @t200 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t17 @t21)) % 0.95/1.14 (define @t201 () (@list @t15 @t14 @t17 @t1)) % 0.95/1.14 (define @t202 () (@var "V_z" $$unsorted)) % 0.95/1.14 (define @t203 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t202 @t1)) % 0.95/1.14 (define @t204 () (@var "V_y" $$unsorted)) % 0.95/1.14 (define @t205 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t204 @t1)) % 0.95/1.14 (define @t206 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t205 @t203 @t1)) % 0.95/1.14 (define @t207 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t204 @t202 @t1)) % 0.95/1.14 (define @t208 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t207 @t1)) % 0.95/1.14 (define @t209 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.95/1.14 (define @t210 () (@list @t1 @t18 @t204 @t202)) % 0.95/1.14 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t204 @t18 @t1)) % 0.95/1.14 (define @t212 () (@list @t1 @t204 @t202 @t18)) % 0.95/1.14 (define @t213 () (tptp.hBOOL (tptp.c_in @t18 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t92 @t21) @t1))) % 0.95/1.14 (define @t214 () (not @t213)) % 0.95/1.14 (define @t215 () (tptp.hBOOL (tptp.hAPP @t91 @t18))) % 0.95/1.14 (define @t216 () (tptp.c_COMBK @t29 @t21 @t20)) % 0.95/1.14 (define @t217 () (= @t15 @t38)) % 0.95/1.14 (define @t218 () (@var "V_M" $$unsorted)) % 0.95/1.14 (define @t219 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t20))) % 0.95/1.14 (define @t220 () (tptp.hBOOL (tptp.c_Order__Relation_Opartial__order__on @t15 @t2 @t1))) % 0.95/1.14 (define @t221 () (not @t220)) % 0.95/1.14 (define @t222 () (tptp.hBOOL (tptp.c_Relation_Ototal__on @t15 @t2 @t1))) % 0.95/1.14 (define @t223 () (not @t222)) % 0.95/1.14 (define @t224 () (tptp.hBOOL (tptp.c_Order__Relation_Olinear__order__on @t15 @t2 @t1))) % 0.95/1.14 (define @t225 () (@list @t15 @t2 @t1)) % 0.95/1.14 (define @t226 () (tptp.c_Orderings_Otop__class_Otop @t56)) % 0.95/1.14 (define @t227 () (@var "V_h" $$unsorted)) % 0.95/1.14 (define @t228 () (tptp.c_Relation_Orefl__on @t15 @t2 @t1)) % 0.95/1.14 (define @t229 () (not @t228)) % 0.95/1.14 (define @t230 () (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t15 @t21 @t1) @t1 @t1)) % 0.95/1.14 (define @t231 () (tptp.c_lessequals @t2 @t230 @t8)) % 0.95/1.14 (define @t232 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.95/1.14 (define @t233 () (@var "V_r_H" $$unsorted)) % 0.95/1.14 (define @t234 () (not (tptp.c_lessequals @t233 @t2 @t82))) % 0.95/1.14 (define @t235 () (tptp.tc_fun (tptp.tc_prod @t20 @t84) tptp.tc_bool)) % 0.95/1.14 (define @t236 () (@var "V_s_H" $$unsorted)) % 0.95/1.14 (define @t237 () (tptp.c_Relation_Orel__comp @t2 @t106 @t1 @t20 @t84)) % 0.95/1.14 (define @t238 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t56)) % 0.95/1.14 (define @t239 () (tptp.c_Relation_Oconverse @t2 @t20 @t1)) % 0.95/1.14 (define @t240 () (tptp.c_lessequals @t15 (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_Relation_OImage @t239 @t73 @t1 @t20) @t56) @t56)) % 0.95/1.14 (define @t241 () (tptp.c_lessequals (tptp.c_Relation_OImage @t2 @t15 @t20 @t1) @t14 @t21)) % 0.95/1.14 (define @t242 () (tptp.hBOOL (tptp.hAPP @t50 @t18))) % 0.95/1.14 (define @t243 () (tptp.hBOOL (tptp.c_in @t18 @t50 @t1))) % 0.95/1.14 (define @t244 () (= @t95 @t2)) % 0.95/1.14 (define @t245 () (@var "V_Q" $$unsorted)) % 0.95/1.14 (define @t246 () (tptp.c_Fun_Oinj__on @t45 @t15 @t1 @t20)) % 0.95/1.14 (define @t247 () (not @t246)) % 0.95/1.14 (define @t248 () (tptp.c_Fun_Oinj__on @t45 @t14 @t1 @t20)) % 0.95/1.14 (define @t249 () (not @t248)) % 0.95/1.14 (define @t250 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t15 @t21)) % 0.95/1.14 (define @t251 () (tptp.c_Set_Oimage @t45 @t99 @t1 @t20)) % 0.95/1.14 (define @t252 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t251 (tptp.c_Set_Oimage @t45 @t250 @t1 @t20) @t56) @t57)) % 0.95/1.14 (define @t253 () (tptp.c_Set_Oimage @t45 @t226 @t20 @t1)) % 0.95/1.14 (define @t254 () (not (tptp.c_lessequals @t2 (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t14 @t56 @t1) @t1 @t20) @t82))) % 0.95/1.14 (define @t255 () (@var "V_n" $$unsorted)) % 0.95/1.14 (define @t256 () (tptp.c_Nat_Ocompow @t255 @t45 @t1 @t1)) % 0.95/1.14 (define @t257 () (tptp.c_Set_Oimage @t45 @t57 @t20 @t1)) % 0.95/1.14 (define @t258 () (@list @t45 @t20 @t1)) % 0.95/1.14 (define @t259 () (tptp.c_HOL_Ouminus__class_Ouminus @t204 @t1)) % 0.95/1.14 (define @t260 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t204 @t1)) % 0.95/1.14 (define @t261 () (@list @t1 @t18 @t204)) % 0.95/1.14 (define @t262 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t56)) % 0.95/1.14 (define @t263 () (@list @t45 @t15 @t20 @t1 @t14)) % 0.95/1.14 (define @t264 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t17 @t21)) % 0.95/1.14 (define @t265 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t158 @t21)) % 0.95/1.14 (define @t266 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t207 @t1)) % 0.95/1.14 (define @t267 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t204 @t1)) % 0.95/1.14 (define @t268 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t267 @t202 @t1) @t266)) % 0.95/1.14 (define @t269 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t202 @t1)) % 0.95/1.14 (define @t270 () (= @t266 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t204 @t269 @t1))) % 0.95/1.14 (define @t271 () (not (tptp.class_Lattices_Olattice @t1))) % 0.95/1.14 (define @t272 () (tptp.hBOOL (tptp.c_in @t29 @t137 @t1))) % 0.95/1.14 (define @t273 () (not @t272)) % 0.95/1.14 (define @t274 () (tptp.hBOOL (tptp.c_in @t29 @t14 @t1))) % 0.95/1.14 (define @t275 () (@list @t29 @t14 @t1 @t15)) % 0.95/1.14 (define @t276 () (@list @t29 @t15 @t1 @t14)) % 0.95/1.14 (define @t277 () (= @t18 @t204)) % 0.95/1.14 (define @t278 () (tptp.hBOOL (tptp.c_in @t18 @t15 @t1))) % 0.95/1.14 (define @t279 () (not @t278)) % 0.95/1.14 (define @t280 () (not (tptp.hBOOL (tptp.c_in @t204 @t15 @t1)))) % 0.95/1.14 (define @t281 () (not (= @t185 (tptp.hAPP @t45 @t204)))) % 0.95/1.14 (define @t282 () (@list @t45 @t18 @t204 @t15 @t1 @t20)) % 0.95/1.14 (define @t283 () (@var "V_xa" $$unsorted)) % 0.95/1.14 (define @t284 () (tptp.c_lessequals @t18 @t204 @t1)) % 0.95/1.14 (define @t285 () (not @t284)) % 0.95/1.14 (define @t286 () (= @t205 @t18)) % 0.95/1.14 (define @t287 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.95/1.14 (define @t288 () (tptp.c_lessequals @t204 @t18 @t1)) % 0.95/1.14 (define @t289 () (not @t288)) % 0.95/1.14 (define @t290 () (tptp.c_lessequals @t110 @t17 @t21)) % 0.95/1.14 (define @t291 () (tptp.c_lessequals @t62 @t18 @t1)) % 0.95/1.14 (define @t292 () (not @t291)) % 0.95/1.14 (define @t293 () (tptp.c_lessequals @t64 @t18 @t1)) % 0.95/1.14 (define @t294 () (not @t293)) % 0.95/1.14 (define @t295 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t64 @t1)) % 0.95/1.14 (define @t296 () (tptp.c_lessequals @t295 @t18 @t1)) % 0.95/1.14 (define @t297 () (@list @t1 @t62 @t64 @t18)) % 0.95/1.14 (define @t298 () (tptp.c_lessequals @t18 @t267 @t1)) % 0.95/1.14 (define @t299 () (tptp.c_lessequals @t204 @t267 @t1)) % 0.95/1.14 (define @t300 () (@list @t1 @t204 @t18)) % 0.95/1.14 (define @t301 () (tptp.c_lessequals @t202 @t18 @t1)) % 0.95/1.14 (define @t302 () (tptp.c_lessequals @t18 @t202 @t1)) % 0.95/1.14 (define @t303 () (not @t302)) % 0.95/1.14 (define @t304 () (tptp.c_lessequals @t204 @t202 @t1)) % 0.95/1.14 (define @t305 () (not @t304)) % 0.95/1.14 (define @t306 () (tptp.c_lessequals @t267 @t202 @t1)) % 0.95/1.14 (define @t307 () (= @t205 @t211)) % 0.95/1.14 (define @t308 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t250 @t21)) % 0.95/1.14 (define @t309 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.95/1.14 (define @t310 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t15 @t21)) % 0.95/1.14 (define @t311 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t17 @t21)) % 0.95/1.14 (define @t312 () (not (tptp.hBOOL (tptp.c_in @t18 @t38 @t1)))) % 0.95/1.14 (define @t313 () (not @t215)) % 0.95/1.14 (define @t314 () (@list @t91 @t18 @t1)) % 0.95/1.14 (define @t315 () (tptp.hBOOL (tptp.hAPP @t91 @t62))) % 0.95/1.14 (define @t316 () (tptp.hBOOL (tptp.c_in @t62 @t92 @t1))) % 0.95/1.14 (define @t317 () (tptp.c_Relation_Orefl__on @t15 @t95 @t1)) % 0.95/1.14 (define @t318 () (tptp.c_Set_Ovimage @t45 @t15 @t1 @t20)) % 0.95/1.14 (define @t319 () (tptp.tc_fun @t84 tptp.tc_bool)) % 0.95/1.14 (define @t320 () (tptp.hBOOL (tptp.c_Wellfounded_Owf @t40 @t1))) % 0.95/1.14 (define @t321 () (not @t320)) % 0.95/1.14 (define @t322 () (tptp.hBOOL (tptp.c_Wellfounded_Owf @t51 @t1))) % 0.95/1.14 (define @t323 () (@list @t40 @t50 @t1)) % 0.95/1.14 (define @t324 () (tptp.hBOOL (tptp.hAPP @t110 @t18))) % 0.95/1.14 (define @t325 () (tptp.hBOOL @t163)) % 0.95/1.14 (define @t326 () (tptp.hBOOL @t133)) % 0.95/1.14 (define @t327 () (@list @t14 @t18 @t15 @t1)) % 0.95/1.14 (define @t328 () (not @t326)) % 0.95/1.14 (define @t329 () (@list @t15 @t14 @t1 @t18)) % 0.95/1.14 (define @t330 () (not @t325)) % 0.95/1.14 (define @t331 () (not (tptp.hBOOL (tptp.c_Wellfounded_Owf @t2 @t1)))) % 0.95/1.14 (define @t332 () (tptp.c_Relation_ODomain @t2 @t1 @t1)) % 0.95/1.14 (define @t333 () (tptp.c_Set_Oimage @t45 @t15 @t1 @t1)) % 0.95/1.14 (define @t334 () (tptp.c_Fun_Oinj__on @t45 @t15 @t1 @t1)) % 0.95/1.14 (define @t335 () (@list @t45 @t15 @t1)) % 0.95/1.14 (define @t336 () (tptp.hBOOL (tptp.c_in @t29 @t110 @t1))) % 0.95/1.14 (define @t337 () (tptp.c_COMBK @t17 @t56 @t1)) % 0.95/1.14 (define @t338 () (tptp.c_Product__Type_OSigma @t14 @t337 @t1 @t20)) % 0.95/1.14 (define @t339 () (tptp.c_Product__Type_OSigma @t15 @t337 @t1 @t20)) % 0.95/1.14 (define @t340 () (@list @t15 @t14 @t1 @t17 @t20)) % 0.95/1.14 (define @t341 () (tptp.c_Relation_Osingle__valued @t2 @t1 @t20)) % 0.95/1.14 (define @t342 () (@list @t2 @t1 @t15)) % 0.95/1.14 (define @t343 () (not (tptp.c_Relation_Orefl__on @t14 @t106 @t1))) % 0.95/1.14 (define @t344 () (@list @t15 @t14 @t1 @t2 @t106)) % 0.95/1.14 (define @t345 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t204 @t202 @t1)) % 0.95/1.14 (define @t346 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t345 @t1)) % 0.95/1.14 (define @t347 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t205 @t202 @t1) @t346)) % 0.95/1.14 (define @t348 () (= @t346 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t204 @t203 @t1))) % 0.95/1.14 (define @t349 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t311 @t21)) % 0.95/1.14 (define @t350 () (@list @t1 @t2)) % 0.95/1.14 (define @t351 () (not @t150)) % 0.95/1.14 (define @t352 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t14 @t1 @t56)) % 0.95/1.14 (define @t353 () (tptp.c_Relation_Ototal__on tptp.v_A tptp.v_r tptp.t_a)) % 0.95/1.14 (define @t354 () (tptp.c_Order__Relation_Olinear__order__on tptp.v_A tptp.v_r tptp.t_a)) % 0.95/1.14 (define @t355 () (= @t133 @t87)) % 0.95/1.14 (define @t356 () (tptp.c_Relation_Oantisym @t95 @t1)) % 0.95/1.14 (define @t357 () (tptp.hBOOL (tptp.c_in @t18 @t14 @t1))) % 0.95/1.14 (define @t358 () (@list @t18 @t14 @t1 @t15)) % 0.95/1.14 (define @t359 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t106 @t8)) % 0.95/1.14 (define @t360 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t267 @t269 @t1)) % 0.95/1.14 (define @t361 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t345 @t1)) % 0.95/1.14 (define @t362 () (tptp.c_Wellfounded_Oacyclic @t2 @t1)) % 0.95/1.14 (define @t363 () (not @t362)) % 0.95/1.14 (define @t364 () (not (= (tptp.c_Relation_Orel__comp @t15 @t17 @t1 @t1 @t1) @t48))) % 0.95/1.14 (define @t365 () (@list @t15 @t17 @t1 @t14)) % 0.95/1.14 (define @t366 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.95/1.14 (define @t367 () (tptp.c_Wellfounded_Oacyclic @t95 @t1)) % 0.95/1.14 (define @t368 () (not (tptp.class_Orderings_Oorder @t1))) % 0.95/1.14 (define @t369 () (= @t267 @t204)) % 0.95/1.14 (define @t370 () (= @t110 @t14)) % 0.95/1.14 (define @t371 () (tptp.c_Orderings_Obot__class_Obot @t173)) % 0.95/1.14 (define @t372 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.95/1.14 (define @t373 () (tptp.hBOOL (tptp.c_in @t29 @t15 @t20))) % 0.95/1.14 (define @t374 () (tptp.c_Set_Ovimage (tptp.c_COMBK @t29 @t20 @t1) @t15 @t1 @t20)) % 0.95/1.14 (define @t375 () (@list @t29 @t20 @t1 @t15)) % 0.95/1.14 (define @t376 () (tptp.c_Finite__Set_Ofinite @t28 @t1)) % 0.95/1.14 (define @t377 () (tptp.c_Finite__Set_Ofinite @t87 @t1)) % 0.95/1.14 (define @t378 () (@list @t18 @t1)) % 0.95/1.14 (define @t379 () (@var "V_D" $$unsorted)) % 0.95/1.14 (define @t380 () (not (tptp.c_lessequals @t14 @t379 @t21))) % 0.95/1.14 (define @t381 () (@list @t15 @t14 @t1 @t17 @t379)) % 0.95/1.14 (define @t382 () (tptp.c_Relation_Oconverse @t106 @t20 @t1)) % 0.95/1.14 (define @t383 () (@list @t2 @t106 @t20 @t1)) % 0.95/1.14 (define @t384 () (tptp.c_lessequals @t205 @t18 @t1)) % 0.95/1.14 (define @t385 () (tptp.c_lessequals @t205 @t204 @t1)) % 0.95/1.14 (define @t386 () (tptp.c_lessequals @t18 @t345 @t1)) % 0.95/1.14 (define @t387 () (tptp.c_lessequals @t18 @t62 @t1)) % 0.95/1.14 (define @t388 () (not @t387)) % 0.95/1.14 (define @t389 () (tptp.c_lessequals @t18 @t64 @t1)) % 0.95/1.14 (define @t390 () (not @t389)) % 0.95/1.14 (define @t391 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t64 @t1)) % 0.95/1.14 (define @t392 () (tptp.c_lessequals @t18 @t391 @t1)) % 0.95/1.14 (define @t393 () (@list @t1 @t18 @t62 @t64)) % 0.95/1.14 (define @t394 () (tptp.c_Set_Ovimage @t45 @t14 @t20 @t1)) % 0.95/1.14 (define @t395 () (not (= @t110 @t38))) % 0.95/1.14 (define @t396 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t1) @t34))) % 0.95/1.14 (define @t397 () (@list @t1 @t15 @t14)) % 0.95/1.14 (define @t398 () (tptp.c_Nat_Ocompow @t255 @t40 @t7 tptp.tc_bool)) % 0.95/1.14 (define @t399 () (tptp.c_lessequals @t17 @t137 @t21)) % 0.95/1.14 (define @t400 () (not @t399)) % 0.95/1.14 (define @t401 () (tptp.c_lessequals @t17 @t14 @t21)) % 0.95/1.14 (define @t402 () (not @t392)) % 0.95/1.14 (define @t403 () (tptp.c_lessequals @t391 @t18 @t1)) % 0.95/1.14 (define @t404 () (not @t386)) % 0.95/1.14 (define @t405 () (@list @t1 @t18 @t202 @t204)) % 0.95/1.14 (define @t406 () (tptp.hBOOL (tptp.c_in @t165 @t14 @t20))) % 0.95/1.14 (define @t407 () (tptp.c_Set_Ovimage @t45 @t14 @t1 @t20)) % 0.95/1.14 (define @t408 () (tptp.hBOOL (tptp.c_in @t62 @t407 @t1))) % 0.95/1.14 (define @t409 () (@var "V_top" $$unsorted)) % 0.95/1.14 (define @t410 () (@var "V_bot" $$unsorted)) % 0.95/1.14 (define @t411 () (@var "V_sup" $$unsorted)) % 0.95/1.14 (define @t412 () (@var "V_inf" $$unsorted)) % 0.95/1.14 (define @t413 () (@var "V_less" $$unsorted)) % 0.95/1.14 (define @t414 () (@var "V_less__eq" $$unsorted)) % 0.95/1.14 (define @t415 () (@var "V_Sup" $$unsorted)) % 0.95/1.14 (define @t416 () (@var "V_Inf" $$unsorted)) % 0.95/1.14 (define @t417 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t416 @t415 @t414 @t413 @t412 @t411 @t410 @t409 @t1))) % 0.95/1.14 (define @t418 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t63 @t65 @t1)) % 0.95/1.14 (define @t419 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.95/1.14 (define @t420 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t15 @t21)) % 0.95/1.14 (define @t421 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t204 @t18 @t1)) % 0.95/1.14 (define @t422 () (= @t267 @t421)) % 0.95/1.14 (define @t423 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t267 @t1) @t267)) % 0.95/1.14 (define @t424 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t63 @t65 @t1)) % 0.95/1.14 (define @t425 () (tptp.c_Relation_Osym @t95 @t1)) % 0.95/1.14 (define @t426 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1))) % 0.95/1.14 (define @t427 () (tptp.c_Relation_ORange @t14 @t20 @t1)) % 0.95/1.14 (define @t428 () (tptp.c_Relation_ORange @t15 @t20 @t1)) % 0.95/1.14 (define @t429 () (@list @t15 @t14 @t20 @t1)) % 0.95/1.14 (define @t430 () (tptp.c_Relation_Orel__comp @t40 @t40 @t1 @t1 @t1)) % 0.95/1.14 (define @t431 () (tptp.hBOOL (tptp.hAPP @t137 @t18))) % 0.95/1.14 (define @t432 () (not @t431)) % 0.95/1.14 (define @t433 () (@list @t45 @t14 @t1 @t20 @t15)) % 0.95/1.14 (define @t434 () (tptp.c_lessequals @t15 @t73 @t21)) % 0.95/1.14 (define @t435 () (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t430 (tptp.c_Relation_Orel__comp @t50 @t40 @t1 @t1 @t1) @t8) @t50 @t8) @t1))) % 0.95/1.14 (define @t436 () (@var "T_aa" $$unsorted)) % 0.95/1.14 (define @t437 () (tptp.hBOOL (tptp.c_in @t185 @t59 @t1))) % 0.95/1.14 (define @t438 () (@list @t18 @t15 @t20 @t45 @t1)) % 0.95/1.14 (define @t439 () (tptp.c_lessequals @t15 @t158 @t21)) % 0.95/1.14 (define @t440 () (tptp.c_lessequals @t99 @t17 @t21)) % 0.95/1.14 (define @t441 () (tptp.c_HOL_Ouminus__class_Ouminus @t63 @t1)) % 0.95/1.14 (define @t442 () (@list @t1 @t62)) % 0.95/1.14 (define @t443 () (tptp.c_HOL_Ouminus__class_Ouminus @t65 @t1)) % 0.95/1.14 (define @t444 () (@list @t1 @t64)) % 0.95/1.14 (define @t445 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t144 @t147 @t21) @t1)) % 0.95/1.14 (define @t446 () (tptp.c_lessequals @t62 @t65 @t1)) % 0.95/1.14 (define @t447 () (tptp.c_lessequals @t64 @t63 @t1)) % 0.95/1.14 (define @t448 () (tptp.c_lessequals @t63 @t64 @t1)) % 0.95/1.14 (define @t449 () (tptp.c_lessequals @t65 @t62 @t1)) % 0.95/1.14 (define @t450 () (@var "V_x_H" $$unsorted)) % 0.95/1.14 (define @t451 () (@var "V_y_H" $$unsorted)) % 0.95/1.14 (define @t452 () (tptp.c_lessequals @t451 @t450 @t1)) % 0.95/1.14 (define @t453 () (tptp.c_HOL_Ominus__class_Ominus @t450 @t451 @t1)) % 0.95/1.14 (define @t454 () (not (= @t260 @t453))) % 0.95/1.14 (define @t455 () (@list @t1 @t18 @t204 @t450 @t451)) % 0.95/1.14 (define @t456 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.95/1.14 (define @t457 () (@list @t17 @t15 @t14 @t1)) % 0.95/1.14 (define @t458 () (tptp.hAPP @t15 tptp.v_x)) % 0.95/1.14 (define @t459 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t205 @t1) @t205)) % 0.95/1.14 (define @t460 () (not @t274)) % 0.95/1.14 (define @t461 () (@list @t29 @t15 @t14 @t1)) % 0.95/1.14 (define @t462 () (tptp.hBOOL (tptp.c_Relation_Oirrefl @t2 @t1))) % 0.95/1.14 (define @t463 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t15 @t1)) % 0.95/1.14 (define @t464 () (tptp.hBOOL (tptp.hAPP @t463 @t2))) % 0.95/1.14 (define @t465 () (@list @t15 @t1 @t2)) % 0.95/1.14 (define @t466 () (not @t306)) % 0.95/1.14 (define @t467 () (tptp.c_lessequals @t18 @t295 @t1)) % 0.95/1.14 (define @t468 () (not @t296)) % 0.95/1.14 (define @t469 () (not @t290)) % 0.95/1.14 (define @t470 () (tptp.c_Relation_ORange @t2 @t20 @t1)) % 0.95/1.14 (define @t471 () (tptp.c_Relation_ODomain @t239 @t1 @t20)) % 0.95/1.14 (define @t472 () (@list @t2 @t20 @t1)) % 0.95/1.14 (define @t473 () (@var "V_t" $$unsorted)) % 0.95/1.14 (define @t474 () (not (tptp.c_lessequals @t91 @t245 @t21))) % 0.95/1.14 (define @t475 () (tptp.hBOOL (tptp.hAPP @t245 @t18))) % 0.95/1.14 (define @t476 () (@list @t245 @t18 @t91 @t1)) % 0.95/1.14 (define @t477 () (tptp.c_lessequals @t18 @t18 @t1)) % 0.95/1.14 (define @t478 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.95/1.14 (define @t479 () (not (tptp.c_Finite__Set_Ofinite @t14 @t1))) % 0.95/1.14 (define @t480 () (not (tptp.c_lessequals @t2 @t106 @t82))) % 0.95/1.14 (define @t481 () (@list @t2 @t1 @t20 @t106)) % 0.95/1.14 (define @t482 () (not (tptp.hBOOL (tptp.hAPP @t352 @t64)))) % 0.95/1.14 (define @t483 () (tptp.hBOOL (tptp.hAPP @t130 @t64))) % 0.95/1.14 (define @t484 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t17 @t21)) % 0.95/1.14 (define @t485 () (= @t251 (tptp.c_HOL_Ominus__class_Ominus @t89 @t113 @t56))) % 0.95/1.14 (define @t486 () (@var "V_k" $$unsorted)) % 0.95/1.14 (define @t487 () (tptp.hBOOL (tptp.c_Relation_Ototal__on @t15 @t95 @t1))) % 0.95/1.14 (define @t488 () (tptp.hBOOL (tptp.hAPP @t318 @t18))) % 0.95/1.14 (define @t489 () (tptp.hBOOL (tptp.hAPP @t15 @t185))) % 0.95/1.14 (define @t490 () (tptp.hBOOL (tptp.c_Order__Relation_Opartial__order__on @t15 @t95 @t1))) % 0.95/1.14 (define @t491 () (@var "V_A_H" $$unsorted)) % 0.95/1.14 (define @t492 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t1) @t309))) % 0.95/1.14 (define @t493 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t17 @t21)) % 0.95/1.14 (define @t494 () (tptp.c_HOL_Ominus__class_Ominus @t200 @t311 @t21)) % 0.95/1.14 (define @t495 () (tptp.hBOOL (tptp.c_in @t29 @t99 @t1))) % 0.95/1.14 (define @t496 () (not @t495)) % 0.95/1.14 (define @t497 () (tptp.c_Finite__Set_Ofinite @t99 @t1)) % 0.95/1.14 (define @t498 () (@var "V_p" $$unsorted)) % 0.95/1.14 (define @t499 () (@var "V_fs" $$unsorted)) % 0.95/1.14 (define @t500 () (@var "V_xb" $$unsorted)) % 0.95/1.14 (define @t501 () (@list @t91 @t62 @t2 @t1)) % 0.95/1.14 (define @t502 () (@var "V_Rb" $$unsorted)) % 0.95/1.14 (define @t503 () (tptp.hBOOL (tptp.c_Wellfounded_Owf @t430 @t1))) % 0.95/1.14 (define @t504 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t9 @t8)) % 0.95/1.14 (define @t505 () (tptp.hBOOL (tptp.c_Order__Relation_Olinear__order__on @t15 @t95 @t1))) % 0.95/1.14 (define @t506 () (not @t224)) % 0.95/1.14 (define @t507 () (tptp.hBOOL (tptp.c_Order__Relation_Owell__order__on @t15 @t2 @t1))) % 0.95/1.14 (define @t508 () (not @t507)) % 0.95/1.14 (define @t509 () (not @t464)) % 0.95/1.14 (define @t510 () (tptp.hBOOL (tptp.c_Relation_Ototal__on @t15 @t504 @t1))) % 0.95/1.14 (define @t511 () (tptp.tc_fun (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt) tptp.tc_bool)) % 0.95/1.14 (define @t512 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_bool))) % 0.95/1.14 (define @t513 () (tptp.c_Order__Relation_Ostrict__linear__order__on @t512 tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.95/1.14 (define @t514 () (tptp.hBOOL (tptp.c_Wellfounded_Owf @t504 @t1))) % 0.95/1.14 (define @t515 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t18 @t1)) % 0.95/1.14 (define @t516 () (tptp.hBOOL (tptp.c_Order__Relation_Olinear__order__on @t512 tptp.v_r tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.95/1.14 (define @t517 () (tptp.c_HOL_Ominus__class_Ominus tptp.v_r (tptp.c_Relation_OId tptp.tc_Arrow__Order__Mirabelle_Oalt) @t511)) % 0.95/1.14 (define @t518 () (forall (@list @t18) (not (tptp.hBOOL (tptp.hAPP @t513 @t18))))) % 0.95/1.14 (define @t519 () (@var "T_2" $$unsorted)) % 0.95/1.14 (define @t520 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t519))) % 0.95/1.14 (define @t521 () (@var "T_1" $$unsorted)) % 0.95/1.14 (define @t522 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t521))) % 0.95/1.14 (define @t523 () (@list @t519 @t521)) % 0.95/1.14 (define @t524 () (tptp.tc_fun @t519 @t521)) % 0.95/1.14 (define @t525 () (not (tptp.class_Lattices_Olattice @t521))) % 0.95/1.14 (define @t526 () (@var "V_Y" $$unsorted)) % 0.95/1.14 (define @t527 () (@var "V_X" $$unsorted)) % 0.95/1.14 (define @t528 () (not @t516)) % 0.95/1.14 (define @t529 () (tptp.hBOOL (tptp.hAPP @t513 @t517))) % 0.95/1.14 (define @t530 () (or @t529 @t528)) % 0.95/1.14 (define @t531 () (@list false false)) % 0.95/1.14 (assume @p1 (forall @t6 (= @t5 @t4))) % 0.95/1.14 (assume @p2 (forall @t6 (or @t12 (not @t11)))) % 0.95/1.14 (assume @p3 (forall @t6 (or @t11 @t13))) % 0.95/1.14 (assume @p4 (forall @t25 (or (not (= @t24 @t23)) @t19 @t16))) % 0.95/1.14 (assume @p5 (forall @t27 (or (not (tptp.class_Orderings_Obot @t20)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t26) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t20))))) % 0.95/1.14 (assume @p6 (forall @t33 (or @t32 (not @t30)))) % 0.95/1.14 (assume @p7 (forall @t33 (or @t30 @t31))) % 0.95/1.14 (assume @p8 (forall @t37 (or @t36 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t35 @t1) @t34)))) % 0.95/1.14 (assume @p9 (forall @t37 (or @t36 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t18 @t1) @t34)))) % 0.95/1.14 (assume @p10 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t28 @t21) @t38))) % 0.95/1.14 (assume @p11 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t15 @t21) @t38))) % 0.95/1.14 (assume @p12 (forall @t42 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t9 @t8) @t1) @t41))) % 0.95/1.14 (assume @p13 (forall @t47 (or (tptp.c_Relation_Osym @t46 @t20) @t44))) % 0.95/1.14 (assume @p14 (forall @t49 (= (tptp.c_Transitive__Closure_Ortrancl @t48 @t1) @t9))) % 0.95/1.14 (assume @p15 (forall @t55 (tptp.c_lessequals @t54 @t52 @t8))) % 0.95/1.14 (assume @p16 (forall (@list @t1 @t45 @t15 @t20) (or (not (= @t38 @t59)) @t58))) % 0.95/1.14 (assume @p17 (forall @t42 (= (tptp.c_Transitive__Closure_Otrancl @t41 @t1) @t41))) % 0.95/1.14 (assume @p18 (forall @t6 (= @t61 @t3))) % 0.95/1.14 (assume @p19 (forall @t69 (or @t68 @t67 (not @t66)))) % 0.95/1.14 (assume @p20 (forall @t70 (or @t68 @t66 (not @t67)))) % 0.95/1.14 (assume @p21 (forall (@list @t14 @t1 @t15) (or (tptp.c_lessequals @t73 @t28 @t21) @t72))) % 0.95/1.14 (assume @p22 (forall @t76 (or @t75 (not @t74)))) % 0.95/1.14 (assume @p23 (forall @t78 (or @t74 @t77))) % 0.95/1.14 (assume @p24 (forall @t81 (tptp.c_lessequals @t80 @t15 @t21))) % 0.95/1.14 (assume @p25 (forall @t6 (tptp.hBOOL (tptp.c_Relation_Otrans @t3 @t1)))) % 0.95/1.14 (assume @p26 (forall (@list @t1 @t84 @t40 @t20) (= (tptp.c_Relation_Orel__comp (tptp.c_Orderings_Obot__class_Obot @t85) @t40 @t1 @t84 @t20) @t83))) % 0.95/1.14 (assume @p27 (forall (@list @t40 @t84 @t20 @t1) (= (tptp.c_Relation_Orel__comp @t40 (tptp.c_Orderings_Obot__class_Obot @t86) @t1 @t84 @t20) @t83))) % 0.95/1.14 (assume @p28 (forall @t90 (or (= (tptp.c_Set_Ovimage @t45 @t89 @t1 @t20) @t15) @t88))) % 0.95/1.14 (assume @p29 (forall (@list @t91 @t1) (= @t92 @t91))) % 0.95/1.14 (assume @p30 (forall @t93 (tptp.c_lessequals @t38 @t15 @t21))) % 0.95/1.14 (assume @p31 (forall @t94 (tptp.c_lessequals @t48 @t14 @t8))) % 0.95/1.14 (assume @p32 (forall @t37 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t34 @t18 @t1)))) % 0.95/1.14 (assume @p33 (forall @t6 (or @t97 (not @t96)))) % 0.95/1.14 (assume @p34 (forall @t6 (or @t96 @t98))) % 0.95/1.14 (assume @p35 (forall @t100 (= (tptp.c_HOL_Ouminus__class_Ouminus @t99 @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t14 @t21)))) % 0.95/1.14 (assume @p36 (forall @t101 (= (tptp.c_Relation_OImage @t40 @t57 @t20 @t1) @t38))) % 0.95/1.14 (assume @p37 (forall @t6 (or (tptp.c_lessequals @t102 @t2 @t8) @t98 @t44))) % 0.95/1.14 (assume @p38 (forall (@list @t40 @t50 @t1 @t103 @t84 @t104 @t20) (= (tptp.c_Relation_Orel__comp (tptp.c_Relation_Orel__comp @t40 @t50 @t1 @t103 @t84) @t104 @t1 @t84 @t20) (tptp.c_Relation_Orel__comp @t40 (tptp.c_Relation_Orel__comp @t50 @t104 @t103 @t84 @t20) @t1 @t103 @t20)))) % 0.95/1.14 (assume @p39 (forall @t49 (tptp.c_lessequals @t38 @t105 @t21))) % 0.95/1.14 (assume @p40 (forall @t109 (or (tptp.c_Relation_Osym @t108 @t1) @t107 @t44))) % 0.95/1.14 (assume @p41 (forall @t115 (or @t114 @t112 @t16))) % 0.95/1.14 (assume @p42 (forall (@list @t14 @t15 @t117 @t1 @t116 @t20) (or (tptp.c_lessequals @t14 (tptp.hAPP @t15 @t117) @t21) (not (tptp.hBOOL (tptp.c_in @t117 @t116 @t20))) (not (tptp.c_lessequals @t14 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t116 @t15 @t20 @t21) @t21))))) % 0.95/1.14 (assume @p43 (forall @t121 (or @t120 @t118))) % 0.95/1.14 (assume @p44 (forall @t124 (tptp.c_lessequals (tptp.c_Relation_ODomain (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t82) @t1 @t20) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t122 @t21) @t21))) % 0.95/1.14 (assume @p45 (forall @t37 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t34 @t1) @t34)))) % 0.95/1.14 (assume @p46 (forall @t37 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t18 @t1) @t34)))) % 0.95/1.14 (assume @p47 (forall @t94 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t14 @t21) @t38))) % 0.95/1.14 (assume @p48 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t38 @t21) @t38))) % 0.95/1.14 (assume @p49 (forall (@list @t40 @t45 @t20 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Oinv__image @t40 @t45 @t20 @t1) @t1 @t1) (tptp.c_Relation_Oinv__image (tptp.c_Relation_Oconverse @t40 @t20 @t20) @t45 @t20 @t1)))) % 0.95/1.14 (assume @p50 (forall @t6 (= (tptp.c_Transitive__Closure_Otrancl @t95 @t1) @t126))) % 0.95/1.14 (assume @p51 (forall (@list @t64 @t14 @t62 @t1 @t15 @t20) (or @t131 @t129 @t128))) % 0.95/1.14 (assume @p52 (forall (@list @t62 @t15 @t20 @t64 @t14 @t1) (or @t129 @t131 @t128))) % 0.95/1.14 (assume @p53 (forall (@list @t64 @t14 @t18 @t1 @t15 @t20) (or (tptp.hBOOL (tptp.c_in @t64 @t133 @t1)) @t132 @t128))) % 0.95/1.14 (assume @p54 (forall @t49 (tptp.c_Finite__Set_Ofinite @t38 @t1))) % 0.95/1.14 (assume @p55 (forall @t47 (or (tptp.hBOOL (tptp.c_Relation_Otrans @t46 @t20)) @t98))) % 0.95/1.14 (assume @p56 (forall @t135 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t134 @t14 @t21) @t14))) % 0.95/1.14 (assume @p57 (forall (@list @t15 @t20 @t14 @t1) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t136 @t21) @t15))) % 0.95/1.14 (assume @p58 (forall @t139 (or @t138 @t88))) % 0.95/1.14 (assume @p59 (forall @t49 (or @t140 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t38 @t1) @t34)))) % 0.95/1.14 (assume @p60 (forall @t143 (tptp.c_lessequals (tptp.c_Set_Oimage @t45 @t142 @t20 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t59 @t141 @t21) @t21))) % 0.95/1.14 (assume @p61 (forall @t151 (or @t150 @t149 @t146))) % 0.95/1.14 (assume @p62 (forall @t156 (tptp.c_lessequals @t155 @t154 @t21))) % 0.95/1.14 (assume @p63 (forall @t161 (or (not @t160) @t157))) % 0.95/1.14 (assume @p64 (forall @t161 (or @t160 @t162))) % 0.95/1.14 (assume @p65 (forall (@list @t116 @t15 @t1 @t20 @t18) (or (tptp.c_Finite__Set_Ofinite @t164 @t20) (not (tptp.c_Finite__Set_Ofinite @t163 @t20)) (not (tptp.hBOOL (tptp.c_in @t18 @t116 @t1)))))) % 0.95/1.14 (assume @p66 (forall (@list @t62 @t15 @t1 @t45 @t20) (or @t167 (not @t166) @t88))) % 0.95/1.14 (assume @p67 (forall (@list @t45 @t62 @t15 @t1 @t20) (or @t166 @t168 @t88))) % 0.95/1.14 (assume @p68 (forall @t171 (= (tptp.c_Relation_ORange @t170 @t20 @t1) @t169))) % 0.95/1.14 (assume @p69 (forall @t49 (tptp.hBOOL (tptp.c_Order__Relation_Opartial__order__on @t38 @t48 @t1)))) % 0.95/1.14 (assume @p70 (forall @t25 (or @t174 (not @t172) @t19))) % 0.95/1.14 (assume @p71 (forall (@list @t15 @t14 @t20 @t17 @t1 @t18) (or @t172 (not @t174) @t19))) % 0.95/1.14 (assume @p72 (forall @t115 (or @t175 @t72 @t88))) % 0.95/1.14 (assume @p73 (forall (@list @t15 @t14 @t1 @t45 @t20) (or @t71 (not @t175) @t88))) % 0.95/1.14 (assume @p74 (forall @t181 (or @t138 @t180 @t178 @t176))) % 0.95/1.14 (assume @p75 (forall @t6 (= (tptp.c_Transitive__Closure_Otrancl @t10 @t1) @t3))) % 0.95/1.14 (assume @p76 (forall (@list @t14 @t20 @t45 @t15 @t1) (or (tptp.c_Finite__Set_Ofinite @t14 @t20) @t184 @t183))) % 0.95/1.14 (assume @p77 (forall (@list @t45 @t18 @t14 @t1 @t15 @t20) (or (tptp.hBOOL (tptp.c_in @t185 @t14 @t1)) @t132 (not (tptp.c_lessequals @t59 @t14 @t21))))) % 0.95/1.14 (assume @p78 (forall @t121 (or (tptp.c_lessequals @t60 @t106 @t8) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t60 @t106 @t8) @t2 @t1 @t1 @t1) @t106 @t8)) @t118))) % 0.95/1.14 (assume @p79 (forall @t189 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Olower__semilattice__class_Oinf @t116 @t186 @t21) @t17 @t1 @t20) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t188 @t187 @t82)))) % 0.95/1.14 (assume @p80 (forall (@list @t2 @t106 @t20 @t84 @t1) (= (tptp.c_Relation_Oconverse (tptp.c_Relation_Orel__comp @t2 @t106 @t20 @t84 @t1) @t20 @t1) (tptp.c_Relation_Orel__comp (tptp.c_Relation_Oconverse @t106 @t84 @t1) (tptp.c_Relation_Oconverse @t2 @t20 @t84) @t1 @t84 @t20)))) % 0.95/1.14 (assume @p81 (forall @t100 (or @t191 (= @t99 @t15)))) % 0.95/1.14 (assume @p82 (forall @t196 (or @t195 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t192 @t26) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t194 @t193 @t20))))) % 0.95/1.14 (assume @p83 (forall @t199 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t15 @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t198 @t197 @t21)))) % 0.95/1.14 (assume @p84 (forall @t201 (= @t159 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t200 @t21)))) % 0.95/1.14 (assume @p85 (forall @t210 (or @t209 (= @t208 @t206)))) % 0.95/1.14 (assume @p86 (forall @t212 (or @t209 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t207 @t18 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t211 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t202 @t18 @t1) @t1))))) % 0.95/1.14 (assume @p87 (forall (@list @t91 @t18 @t15 @t1) (or @t215 @t214))) % 0.95/1.14 (assume @p88 (forall (@list @t15 @t29 @t1 @t20) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t216 @t20 @t21) @t29) @t58))) % 0.95/1.14 (assume @p89 (forall (@list @t20 @t15 @t218 @t1) (or @t219 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 (tptp.c_COMBK @t218 @t20 @t1) @t1 @t20) @t218) @t217))) % 0.95/1.14 (assume @p90 (forall @t225 (or @t224 @t223 @t221))) % 0.95/1.14 (assume @p91 (forall (@list @t227 @t144 @t20 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t227 @t144 @t20 @t1) @t20) (not (tptp.c_Fun_Oinj__on @t227 @t226 @t20 @t1)) @t146))) % 0.95/1.14 (assume @p92 (forall (@list @t2 @t15 @t1) (or @t231 @t229))) % 0.95/1.14 (assume @p93 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t15 @t21) @t15))) % 0.95/1.14 (assume @p94 (forall @t37 (or @t232 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t18 @t1) @t18)))) % 0.95/1.14 (assume @p95 (forall (@list @t233 @t236 @t1 @t20 @t84 @t2 @t106) (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t233 @t236 @t1 @t20 @t84) @t237 @t85) (not (tptp.c_lessequals @t236 @t106 @t235)) @t234))) % 0.95/1.14 (assume @p96 (forall @t6 (tptp.hBOOL (tptp.c_Relation_Otrans @t60 @t1)))) % 0.95/1.14 (assume @p97 (forall (@list @t40 @t50 @t20 @t1 @t15) (= (tptp.c_Relation_OImage (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t50 @t173) @t15 @t20 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 (tptp.c_Relation_OImage @t50 @t15 @t20 @t1) @t21)))) % 0.95/1.14 (assume @p98 (forall @t156 (= (tptp.c_Relation_OImage @t40 @t238 @t20 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t153 @t152 @t21)))) % 0.95/1.14 (assume @p99 (forall @t6 (= @t3 @t61))) % 0.95/1.14 (assume @p100 (forall @t6 (= (tptp.c_Relation_ORange @t60 @t1 @t1) (tptp.c_Relation_ORange @t2 @t1 @t1)))) % 0.95/1.14 (assume @p101 (forall (@list @t1 @t20) (= (tptp.c_Relation_ODomain @t83 @t1 @t20) @t38))) % 0.95/1.14 (assume @p102 (forall (@list @t2 @t15 @t20 @t1 @t14) (or @t241 (not @t240)))) % 0.95/1.14 (assume @p103 (forall (@list @t15 @t2 @t20 @t1 @t14) (or @t240 (not @t241)))) % 0.95/1.14 (assume @p104 (forall (@list @t18 @t50 @t1) (or @t243 (not @t242)))) % 0.95/1.14 (assume @p105 (forall (@list @t50 @t18 @t1) (or @t242 (not @t243)))) % 0.95/1.14 (assume @p106 (forall @t6 (or (not @t244) @t43))) % 0.95/1.14 (assume @p107 (forall @t6 (or @t244 @t44))) % 0.95/1.14 (assume @p108 (forall (@list @t91 @t1 @t20 @t245) (= (tptp.hAPP (tptp.c_COMBK @t91 @t1 @t20) @t245) @t91))) % 0.95/1.14 (assume @p109 (forall @t139 (or (not @t252) @t249 @t247 @t111))) % 0.95/1.14 (assume @p110 (forall @t139 (or @t252 @t112))) % 0.95/1.14 (assume @p111 (forall (@list @t45 @t18 @t20 @t1) (tptp.hBOOL (tptp.c_in @t185 @t253 @t1)))) % 0.95/1.14 (assume @p112 (forall (@list @t2 @t17 @t1 @t20 @t14 @t15) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t2 @t17 @t1 @t20) @t14 @t56) @t254))) % 0.95/1.14 (assume @p113 (forall (@list @t45 @t255 @t1 @t18) (= (tptp.hAPP @t45 (tptp.hAPP @t256 @t18)) (tptp.hAPP @t256 @t185)))) % 0.95/1.14 (assume @p114 (forall @t258 (= @t257 @t38))) % 0.95/1.14 (assume @p115 (forall @t100 (= @t99 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t73 @t21)))) % 0.95/1.14 (assume @p116 (forall @t261 (or @t36 (= @t260 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t259 @t1))))) % 0.95/1.14 (assume @p117 (forall @t263 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t59 @t141 @t21) (tptp.c_Set_Oimage @t45 @t262 @t20 @t1) @t21))) % 0.95/1.14 (assume @p118 (forall (@list @t45 @t1 @t20) (tptp.c_Fun_Oinj__on @t45 @t38 @t1 @t20))) % 0.95/1.14 (assume @p119 (forall @t201 (= @t265 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t264 @t21)))) % 0.95/1.14 (assume @p120 (forall @t161 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t110 @t17 @t21) @t265))) % 0.95/1.14 (assume @p121 (forall @t210 (or @t232 @t268))) % 0.95/1.14 (assume @p122 (forall @t210 (or @t232 @t270))) % 0.95/1.14 (assume @p123 (forall @t210 (or @t271 @t270))) % 0.95/1.14 (assume @p124 (forall @t210 (or @t271 @t268))) % 0.95/1.14 (assume @p125 (forall @t275 (or @t274 @t273))) % 0.95/1.14 (assume @p126 (forall @t276 (or @t31 @t273))) % 0.95/1.14 (assume @p127 (forall @t42 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t41 @t9 @t8) @t41))) % 0.95/1.14 (assume @p128 (forall @t282 (or @t281 @t280 @t279 @t277 @t247))) % 0.95/1.14 (assume @p129 (forall @t282 (or @t281 @t280 @t279 @t247 @t277))) % 0.95/1.14 (assume @p130 (forall (@list @t45 @t18 @t283 @t15 @t1 @t20) (or (not (= @t185 (tptp.hAPP @t45 @t283))) (not (tptp.hBOOL (tptp.c_in @t283 @t15 @t1))) @t279 @t247 (= @t18 @t283)))) % 0.95/1.14 (assume @p131 (forall @t282 (or @t281 @t247 @t277 @t280 @t279))) % 0.95/1.14 (assume @p132 (forall @t100 (or (= @t137 @t15) @t72))) % 0.95/1.14 (assume @p133 (forall @t100 (or (= @t137 @t14) @t77))) % 0.95/1.14 (assume @p134 (forall @t261 (or @t287 @t286 @t285))) % 0.95/1.14 (assume @p135 (forall @t261 (or @t287 (not @t286) @t284))) % 0.95/1.14 (assume @p136 (forall @t261 (or @t287 (= @t205 @t204) @t289))) % 0.95/1.14 (assume @p137 (forall @t161 (or @t290 @t180 @t178))) % 0.95/1.14 (assume @p138 (forall @t76 (tptp.c_lessequals @t14 @t110 @t21))) % 0.95/1.14 (assume @p139 (forall @t100 (tptp.c_lessequals @t15 @t110 @t21))) % 0.95/1.14 (assume @p140 (forall @t297 (or @t232 @t296 @t294 @t292))) % 0.95/1.14 (assume @p141 (forall @t261 (or @t232 @t298))) % 0.95/1.14 (assume @p142 (forall @t300 (or @t232 @t299))) % 0.95/1.14 (assume @p143 (forall @t212 (or @t232 (tptp.c_lessequals @t207 @t18 @t1) (not @t301) @t289))) % 0.95/1.14 (assume @p144 (forall @t210 (or @t232 @t306 @t305 @t303))) % 0.95/1.14 (assume @p145 (forall @t300 (or @t271 @t299))) % 0.95/1.14 (assume @p146 (forall @t261 (or @t271 @t298))) % 0.95/1.14 (assume @p147 (forall @t100 (= @t137 @t198))) % 0.95/1.14 (assume @p148 (forall @t261 (or @t287 @t307))) % 0.95/1.14 (assume @p149 (forall @t261 (or @t271 @t307))) % 0.95/1.14 (assume @p150 (forall @t100 (or (= @t308 @t14) @t72))) % 0.95/1.14 (assume @p151 (forall @t6 (or (tptp.c_Relation_Osym @t3 @t1) @t44))) % 0.95/1.14 (assume @p152 (forall @t210 (or @t271 (tptp.c_lessequals @t206 @t208 @t1)))) % 0.95/1.14 (assume @p153 (forall (@list @t50 @t1 @t40) (or (= @t53 @t41) (not (tptp.c_lessequals @t50 @t41 @t8)) (not (tptp.c_lessequals @t40 @t50 @t8))))) % 0.95/1.14 (assume @p154 (forall @t261 (or @t36 (not (= @t267 @t309)) (not (= @t205 @t34)) (= @t35 @t204)))) % 0.95/1.14 (assume @p155 (forall @t161 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t137 @t311 @t21) @t197 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t158 @t21) @t310 @t21)))) % 0.95/1.14 (assume @p156 (forall @t314 (or @t313 @t312))) % 0.95/1.14 (assume @p157 (forall (@list @t29 @t1 @t20) (= (tptp.c_Set_Oimage (tptp.c_COMBK @t29 @t1 @t20) @t57 @t20 @t1) @t38))) % 0.95/1.14 (assume @p158 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t15 @t21) @t87))) % 0.95/1.14 (assume @p159 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t28 @t21) @t87))) % 0.95/1.14 (assume @p160 (forall @t37 (or @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t18 @t1) @t309)))) % 0.95/1.14 (assume @p161 (forall @t37 (or @t36 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t35 @t1) @t309)))) % 0.95/1.14 (assume @p162 (forall (@list @t62 @t91 @t1) (or @t316 (not @t315)))) % 0.95/1.14 (assume @p163 (forall (@list @t91 @t62 @t1) (or @t315 (not @t316)))) % 0.95/1.14 (assume @p164 (forall @t225 (or @t317 @t229))) % 0.95/1.14 (assume @p165 (forall @t225 (or @t228 (not @t317)))) % 0.95/1.14 (assume @p166 (forall @t81 (= (tptp.c_Set_Ovimage @t45 (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t56) @t1 @t20) (tptp.c_HOL_Ouminus__class_Ouminus @t318 @t21)))) % 0.95/1.14 (assume @p167 (forall @t6 (or (tptp.hBOOL (tptp.c_Wellfounded_Owf @t126 @t1)) (not (tptp.hBOOL (tptp.c_Wellfounded_Owf @t95 @t1)))))) % 0.95/1.14 (assume @p168 (forall (@list @t2 @t106 @t1 @t20 @t84 @t15 @t17 @t14) (or (tptp.c_lessequals @t237 (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t17 @t319 @t1) @t1 @t84) @t85) (not (tptp.c_lessequals @t106 (tptp.c_Product__Type_OSigma @t14 (tptp.c_COMBK @t17 @t319 @t20) @t20 @t84) @t235)) @t254))) % 0.95/1.14 (assume @p169 (forall @t323 (or @t322 (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t40 @t50 @t1 @t1 @t1) @t40 @t8)) (not (tptp.hBOOL (tptp.c_Wellfounded_Owf @t50 @t1))) @t321))) % 0.95/1.14 (assume @p170 (forall @t6 (or (tptp.hBOOL (tptp.c_Relation_Otrans @t10 @t1)) @t98))) % 0.95/1.14 (assume @p171 (forall @t327 (or @t326 @t325 (not @t324)))) % 0.95/1.14 (assume @p172 (forall @t329 (or @t324 @t328))) % 0.95/1.14 (assume @p173 (forall @t329 (or @t324 @t330))) % 0.95/1.14 (assume @p174 (forall @t121 (or (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t332 (tptp.c_Relation_ORange @t106 @t1 @t1) @t21) @t38)) (not (tptp.hBOOL (tptp.c_Wellfounded_Owf @t106 @t1))) @t331 (tptp.hBOOL (tptp.c_Wellfounded_Owf @t108 @t1))))) % 0.95/1.14 (assume @p175 (forall @t6 (= @t3 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t4 @t8)))) % 0.95/1.14 (assume @p176 (forall @t335 (or (= @t333 @t15) (not @t334) (not (tptp.c_lessequals @t333 @t15 @t21)) @t183))) % 0.95/1.14 (assume @p177 (forall @t275 (or @t274 @t31 (not @t336)))) % 0.95/1.14 (assume @p178 (forall @t340 (= (tptp.c_Product__Type_OSigma @t137 @t337 @t1 @t20) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t339 @t338 @t82)))) % 0.95/1.14 (assume @p179 (forall @t6 (or (tptp.c_lessequals (tptp.c_Relation_Orel__comp @t2 @t2 @t1 @t1 @t1) @t2 @t8) @t98))) % 0.95/1.14 (assume @p180 (forall (@list @t2 @t106 @t1 @t20 @t84) (or (tptp.c_Relation_Osingle__valued @t237 @t1 @t84) (not (tptp.c_Relation_Osingle__valued @t106 @t20 @t84)) (not @t341)))) % 0.95/1.14 (assume @p181 (forall @t342 (or @t12 @t221))) % 0.95/1.14 (assume @p182 (forall @t171 (= (tptp.c_Relation_Oconverse @t170 @t20 @t1) @t2))) % 0.95/1.14 (assume @p183 (forall @t344 (or (tptp.c_Relation_Orefl__on @t110 @t108 @t1) @t343 @t229))) % 0.95/1.14 (assume @p184 (forall @t210 (or @t271 @t347))) % 0.95/1.14 (assume @p185 (forall @t210 (or @t271 @t348))) % 0.95/1.14 (assume @p186 (forall @t210 (or @t287 @t348))) % 0.95/1.14 (assume @p187 (forall @t210 (or @t287 @t347))) % 0.95/1.14 (assume @p188 (forall @t161 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t137 @t17 @t21) @t349))) % 0.95/1.14 (assume @p189 (forall @t201 (= @t349 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t14 @t200 @t21)))) % 0.95/1.14 (assume @p190 (forall @t350 (tptp.c_Relation_Orefl__on @t87 @t3 @t1))) % 0.95/1.14 (assume @p191 (forall (@list @t144 @t1 @t147) (or @t145 @t351))) % 0.95/1.14 (assume @p192 (forall (@list @t147 @t1 @t144) (or @t148 @t351))) % 0.95/1.14 (assume @p193 (forall (@list @t20 @t15 @t218 @t1 @t117) (or @t219 (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t218 @t1 @t20) (tptp.hAPP @t218 @t117) @t20) (not (tptp.hBOOL (tptp.c_in @t117 @t15 @t1)))))) % 0.95/1.14 (assume @p194 (forall (@list @t15 @t14 @t1 @t20 @t62) (or (tptp.c_lessequals @t352 @t130 @t56) @t168))) % 0.95/1.14 (assume @p195 (forall @t37 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t34 @t1) @t18)))) % 0.95/1.14 (assume @p196 (forall @t37 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t18 @t1) @t18)))) % 0.95/1.14 (assume @p197 (forall @t94 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t14 @t21) @t14))) % 0.95/1.14 (assume @p198 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t38 @t21) @t15))) % 0.95/1.14 (assume @p199 (forall @t115 (or @t114 @t88 @t16))) % 0.95/1.14 (assume @p200 (= @t354 (tptp.c_and (tptp.c_Order__Relation_Opartial__order__on tptp.v_A tptp.v_r tptp.t_a) @t353))) % 0.95/1.14 (assume @p201 (forall (@list @t1 @t15 @t14 @t20 @t18) (or (not (= @t87 @t127)) @t355 @t132))) % 0.95/1.14 (assume @p202 (forall @t42 (= (tptp.c_Relation_Orel__comp @t41 @t41 @t1 @t1 @t1) @t41))) % 0.95/1.14 (assume @p203 (forall (@list @t15 @t1 @t40) (or @t217 (not (tptp.c_lessequals @t15 (tptp.c_Relation_OImage @t40 @t15 @t1 @t1) @t21)) @t321))) % 0.95/1.14 (assume @p204 (forall @t6 (or @t12 (not @t356)))) % 0.95/1.14 (assume @p205 (forall @t6 (or @t356 @t13))) % 0.95/1.14 (assume @p206 (forall @t49 (or @t36 (= (tptp.c_HOL_Ouminus__class_Ouminus @t309 @t1) @t34)))) % 0.95/1.14 (assume @p207 (forall @t49 (= (tptp.c_HOL_Ouminus__class_Ouminus @t87 @t21) @t38))) % 0.95/1.14 (assume @p208 (forall @t37 (not (tptp.hBOOL (tptp.hAPP @t38 @t18))))) % 0.95/1.14 (assume @p209 (forall @t358 (or (not @t357) @t279 @t191))) % 0.95/1.14 (assume @p210 (forall @t81 (= @t80 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t253 @t21)))) % 0.95/1.14 (assume @p211 (forall @t109 (or (tptp.hBOOL (tptp.c_Relation_Otrans @t359 @t1)) (not (tptp.hBOOL (tptp.c_Relation_Otrans @t106 @t1))) @t98))) % 0.95/1.14 (assume @p212 (forall @t210 (or @t271 (tptp.c_lessequals @t361 @t360 @t1)))) % 0.95/1.14 (assume @p213 (forall @t6 (or (tptp.c_Relation_Oantisym @t3 @t1) @t363))) % 0.95/1.14 (assume @p214 (forall @t261 (or @t271 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t205 @t1) @t18)))) % 0.95/1.14 (assume @p215 (forall @t199 (or (not (= (tptp.c_Relation_Orel__comp @t14 @t17 @t1 @t1 @t1) @t48)) @t364 (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t8) @t17 @t1 @t1 @t1) @t48)))) % 0.95/1.14 (assume @p216 (forall @t365 (or @t364 (not (= (tptp.c_Relation_Orel__comp @t15 @t14 @t1 @t1 @t1) @t48)) (= (tptp.c_Relation_Orel__comp @t15 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t14 @t17 @t8) @t1 @t1 @t1) @t48)))) % 0.95/1.14 (assume @p217 (forall @t261 (or @t36 (not (= @t35 @t259)) @t277))) % 0.95/1.14 (assume @p218 (forall @t69 (or @t366 (not (= @t63 @t65)) (= @t62 @t64)))) % 0.95/1.14 (assume @p219 (forall @t78 (or (not (= @t28 @t73)) @t16))) % 0.95/1.14 (assume @p220 (forall (@list @t91 @t1 @t18) (or (not (= @t92 @t38)) @t313))) % 0.95/1.14 (assume @p221 (forall @t6 (or @t362 (not @t367)))) % 0.95/1.14 (assume @p222 (forall @t6 (or @t367 @t363))) % 0.95/1.14 (assume @p223 (forall @t100 (or @t16 @t77 @t72))) % 0.95/1.14 (assume @p224 (forall @t261 (or @t368 @t277 @t289 @t285))) % 0.95/1.14 (assume @p225 (forall @t261 (or @t368 @t277 @t285 @t289))) % 0.95/1.14 (assume @p226 (forall @t261 (or @t271 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t267 @t1) @t18)))) % 0.95/1.14 (assume @p227 (forall @t100 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t137 @t21) @t15))) % 0.95/1.14 (assume @p228 (forall @t261 (or @t232 (= @t267 @t18) @t289))) % 0.95/1.14 (assume @p229 (forall @t261 (or @t232 (not @t369) @t284))) % 0.95/1.14 (assume @p230 (forall @t261 (or @t232 @t369 @t285))) % 0.95/1.14 (assume @p231 (forall @t100 (or @t370 @t72))) % 0.95/1.14 (assume @p232 (forall @t100 (or (= @t110 @t15) @t77))) % 0.95/1.14 (assume @p233 (forall @t100 (or (not @t370) @t71))) % 0.95/1.14 (assume @p234 (forall @t344 (or (tptp.c_Relation_Orefl__on @t137 @t359 @t1) @t343 @t229))) % 0.95/1.14 (assume @p235 (forall (@list @t227 @t144 @t1 @t20) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t227 @t144 @t1 @t20) @t20) @t146))) % 0.95/1.14 (assume @p236 (forall @t49 (tptp.c_Relation_Oantisym @t48 @t1))) % 0.95/1.14 (assume @p237 (forall (@list @t20 @t1) (= (tptp.c_Relation_ORange @t371 @t20 @t1) @t38))) % 0.95/1.14 (assume @p238 (forall @t342 (or (tptp.c_lessequals @t60 @t230 @t8) (not @t231)))) % 0.95/1.14 (assume @p239 (= (tptp.hAPP @t372 tptp.v_x) (tptp.c_in tptp.v_x @t372 tptp.t_a))) % 0.95/1.14 (assume @p240 (forall @t42 (= (tptp.c_Relation_ORange @t41 @t1 @t1) @t87))) % 0.95/1.14 (assume @p241 (forall @t121 (or @t120 (not (tptp.c_lessequals @t2 @t119 @t8))))) % 0.95/1.14 (assume @p242 (forall @t375 (or (= @t374 @t38) @t373))) % 0.95/1.14 (assume @p243 (forall @t93 (or @t377 (not @t376) @t183))) % 0.95/1.14 (assume @p244 (forall @t39 (or @t376 (not @t377) @t183))) % 0.95/1.14 (assume @p245 (forall @t6 (= (tptp.c_Transitive__Closure_Ortrancl @t95 @t1) (tptp.c_Relation_Oconverse @t3 @t1 @t1)))) % 0.95/1.14 (assume @p246 (forall @t39 (or @t217 (not (tptp.c_lessequals @t15 @t38 @t21))))) % 0.95/1.14 (assume @p247 (forall @t49 (tptp.c_lessequals @t38 @t38 @t21))) % 0.95/1.14 (assume @p248 (or (not (tptp.class_HOL_Ouminus tptp.t_b)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus tptp.v_A (tptp.tc_fun tptp.t_a tptp.t_b)) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus (tptp.hAPP tptp.v_A tptp.v_x) tptp.t_b)))) % 0.95/1.14 (assume @p249 (= (tptp.c_Relation_ORange tptp.v_r tptp.t_a tptp.t_b) (tptp.c_Relation_ODomain (tptp.c_Relation_Oconverse tptp.v_r tptp.t_a tptp.t_b) tptp.t_b tptp.t_a))) % 0.95/1.14 (assume @p250 (forall (@list @t62 @t1) (not (tptp.hBOOL (tptp.c_in @t62 @t38 @t1))))) % 0.95/1.14 (assume @p251 (forall (@list @t29 @t1) (not (tptp.hBOOL (tptp.c_in @t29 @t38 @t1))))) % 0.95/1.14 (assume @p252 (forall @t314 (or @t215 @t312))) % 0.95/1.14 (assume @p253 (forall @t378 @t312)) % 0.95/1.14 (assume @p254 (forall @t49 (tptp.c_Relation_Orefl__on @t38 @t48 @t1))) % 0.95/1.14 (assume @p255 (forall @t350 (tptp.hBOOL (tptp.c_Relation_Ototal__on @t38 @t2 @t1)))) % 0.95/1.14 (assume @p256 (forall @t381 (or (tptp.c_lessequals @t110 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t17 @t379 @t21) @t21) @t380 @t178))) % 0.95/1.14 (assume @p257 (forall @t383 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t106 @t173) @t20 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t239 @t382 @t82)))) % 0.95/1.14 (assume @p258 (forall @t261 (or @t271 @t384))) % 0.95/1.14 (assume @p259 (forall @t261 (or @t271 @t385))) % 0.95/1.14 (assume @p260 (forall @t210 (or @t287 @t386 @t303 @t285))) % 0.95/1.14 (assume @p261 (forall @t393 (or @t287 @t392 @t390 @t388))) % 0.95/1.14 (assume @p262 (forall @t261 (or @t287 @t385))) % 0.95/1.14 (assume @p263 (forall @t261 (or @t287 @t384))) % 0.95/1.14 (assume @p264 (forall @t100 (tptp.c_lessequals @t137 @t15 @t21))) % 0.95/1.14 (assume @p265 (forall @t189 (= (tptp.c_Product__Type_OSigma (tptp.c_Lattices_Oupper__semilattice__class_Osup @t116 @t186 @t21) @t17 @t1 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t188 @t187 @t82)))) % 0.95/1.14 (assume @p266 (forall @t263 (or (tptp.c_lessequals @t79 @t394 @t56) @t72))) % 0.95/1.14 (assume @p267 (forall @t383 (= (tptp.c_Relation_Oconverse (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t106 @t173) @t20 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 @t382 @t82)))) % 0.95/1.14 (assume @p268 (forall @t100 (or @t395 (= @t14 @t38)))) % 0.95/1.14 (assume @p269 (forall @t100 (or @t395 @t217))) % 0.95/1.14 (assume @p270 (forall @t397 (or @t125 @t396 (= @t15 @t34)))) % 0.95/1.14 (assume @p271 (forall @t397 (or @t125 @t396 (= @t14 @t34)))) % 0.95/1.14 (assume @p272 (forall (@list @t50 @t104 @t1 @t84 @t40 @t20) (= (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t104 @t85) @t40 @t1 @t84 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t50 @t40 @t1 @t84 @t20) (tptp.c_Relation_Orel__comp @t104 @t40 @t1 @t84 @t20) @t82)))) % 0.95/1.14 (assume @p273 (forall (@list @t40 @t50 @t104 @t84 @t20 @t1) (= (tptp.c_Relation_Orel__comp @t40 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t50 @t104 @t86) @t1 @t84 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Relation_Orel__comp @t40 @t50 @t1 @t84 @t20) (tptp.c_Relation_Orel__comp @t40 @t104 @t1 @t84 @t20) @t82)))) % 0.95/1.14 (assume @p274 (forall (@list @t255 @t40 @t1) (or (tptp.c_Relation_Osingle__valued @t398 @t1 @t1) (not (tptp.c_Relation_Osingle__valued @t40 @t1 @t1))))) % 0.95/1.14 (assume @p275 (forall (@list @t17 @t14 @t1 @t15) (or @t401 @t400))) % 0.95/1.14 (assume @p276 (forall (@list @t17 @t15 @t1 @t14) (or @t157 @t400))) % 0.95/1.14 (assume @p277 (forall @t393 (or @t287 @t387 @t402))) % 0.95/1.14 (assume @p278 (forall (@list @t1 @t18 @t64 @t62) (or @t287 @t389 @t402))) % 0.95/1.14 (assume @p279 (forall @t297 (or @t287 @t403 @t292))) % 0.95/1.14 (assume @p280 (forall @t297 (or @t287 @t403 @t294))) % 0.95/1.14 (assume @p281 (forall @t210 (or @t287 @t284 @t404))) % 0.95/1.14 (assume @p282 (forall @t405 (or @t287 @t302 @t404))) % 0.95/1.14 (assume @p283 (forall (@list @t62 @t45 @t14 @t1 @t20) (or @t408 (not @t406)))) % 0.95/1.14 (assume @p284 (forall (@list @t62 @t45 @t15 @t20 @t1) (or (tptp.hBOOL (tptp.c_in @t62 @t79 @t20)) (not (tptp.hBOOL (tptp.c_in @t165 @t15 @t1)))))) % 0.95/1.14 (assume @p285 (forall (@list @t62 @t45 @t14 @t20 @t1) (or (tptp.hBOOL (tptp.c_in @t62 @t394 @t20)) (not (tptp.hBOOL (tptp.c_in @t165 @t14 @t1)))))) % 0.95/1.14 (assume @p286 (forall (@list @t45 @t62 @t14 @t20 @t1) (or @t406 (not @t408)))) % 0.95/1.14 (assume @p287 (forall (@list @t45 @t62 @t15 @t20 @t1) (or (tptp.hBOOL (tptp.c_in @t165 @t15 @t20)) (not (tptp.hBOOL (tptp.c_in @t62 @t318 @t1)))))) % 0.95/1.14 (assume @p288 (forall (@list @t15 @t14 @t20 @t1 @t18) (or (not (= @t127 @t87)) @t355 @t132))) % 0.95/1.14 (assume @p289 (forall (@list @t414 @t416 @t15 @t18 @t1 @t415 @t413 @t412 @t411 @t410 @t409) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 (tptp.hAPP @t416 @t15)) @t18)) @t279 @t417))) % 0.95/1.14 (assume @p290 (forall (@list @t414 @t18 @t415 @t15 @t1 @t416 @t413 @t412 @t411 @t410 @t409) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t414 @t18) (tptp.hAPP @t415 @t15))) @t279 @t417))) % 0.95/1.14 (assume @p291 (forall @t69 (or @t419 (= @t391 (tptp.c_HOL_Ouminus__class_Ouminus @t418 @t1))))) % 0.95/1.14 (assume @p292 (forall @t100 (= @t110 @t420))) % 0.95/1.14 (assume @p293 (forall @t261 (or @t232 @t422))) % 0.95/1.14 (assume @p294 (forall @t261 (or @t271 @t422))) % 0.95/1.14 (assume @p295 (forall @t100 (= (tptp.c_HOL_Ouminus__class_Ouminus @t137 @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t28 @t73 @t21)))) % 0.95/1.14 (assume @p296 (forall @t261 (or @t36 (= (tptp.c_HOL_Ouminus__class_Ouminus @t205 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t259 @t1))))) % 0.95/1.14 (assume @p297 (forall @t69 (or @t419 (= (tptp.c_HOL_Ouminus__class_Ouminus @t391 @t1) @t418)))) % 0.95/1.14 (assume @p298 (forall @t124 (= (tptp.c_Relation_ODomain (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t82) @t1 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t122 @t21)))) % 0.95/1.14 (assume @p299 (forall (@list @t40 @t255 @t1) (= (tptp.c_Relation_Orel__comp @t40 @t398 @t1 @t1 @t1) (tptp.c_Relation_Orel__comp @t398 @t40 @t1 @t1 @t1)))) % 0.95/1.14 (assume @p300 (forall (@list @t1 @t14 @t20) (= (tptp.c_Product__Type_OSigma @t38 @t14 @t1 @t20) @t83))) % 0.95/1.14 (assume @p301 (forall @t100 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t110 @t21) @t110))) % 0.95/1.14 (assume @p302 (forall @t261 (or @t232 @t423))) % 0.95/1.14 (assume @p303 (forall @t261 (or @t271 @t423))) % 0.95/1.14 (assume @p304 (forall @t171 (or (not (= @t169 @t38)) (= @t2 @t83)))) % 0.95/1.14 (assume @p305 (forall (@list @t1 @t45 @t20) (= @t38 @t257))) % 0.95/1.14 (assume @p306 (forall @t100 (= (tptp.c_HOL_Ouminus__class_Ouminus @t110 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t28 @t73 @t21)))) % 0.95/1.14 (assume @p307 (forall @t261 (or @t36 (= (tptp.c_HOL_Ouminus__class_Ouminus @t267 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t259 @t1))))) % 0.95/1.14 (assume @p308 (forall @t69 (or @t419 (= (tptp.c_HOL_Ouminus__class_Ouminus @t295 @t1) @t424)))) % 0.95/1.14 (assume @p309 (forall @t100 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t250 @t21) @t38))) % 0.95/1.14 (assume @p310 (forall @t6 (= (tptp.c_Relation_ODomain @t60 @t1 @t1) @t332))) % 0.95/1.14 (assume @p311 (forall @t42 (= (tptp.c_Relation_ODomain @t41 @t1 @t1) @t87))) % 0.95/1.14 (assume @p312 (forall @t6 (or @t425 @t44))) % 0.95/1.14 (assume @p313 (forall @t6 (or @t43 (not @t425)))) % 0.95/1.14 (assume @p314 (forall @t6 (tptp.c_Relation_Osym (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t95 @t8) @t1))) % 0.95/1.14 (assume @p315 (forall @t49 (tptp.hBOOL (tptp.c_Order__Relation_Owell__order__on @t38 @t48 @t1)))) % 0.95/1.14 (assume @p316 (forall @t93 (or @t426 @t182))) % 0.95/1.14 (assume @p317 (forall (@list @t18 @t15 @t1 @t91) (or @t278 @t214))) % 0.95/1.14 (assume @p318 (forall @t143 (= (tptp.c_Set_Ovimage @t45 @t238 @t1 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t318 @t407 @t21)))) % 0.95/1.14 (assume @p319 (forall @t429 (tptp.c_lessequals (tptp.c_Relation_ORange (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t14 @t173) @t20 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t428 @t427 @t21) @t21))) % 0.95/1.14 (assume @p320 (forall @t55 (= (tptp.c_Transitive__Closure_Ortrancl @t54 @t1) @t52))) % 0.95/1.14 (assume @p321 (forall @t42 (or (not (= @t430 @t48)) @t320))) % 0.95/1.14 (assume @p322 (forall @t100 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t73 @t21) @t137))) % 0.95/1.14 (assume @p323 (forall @t327 (or @t326 @t432))) % 0.95/1.14 (assume @p324 (forall (@list @t15 @t18 @t14 @t1) (or @t325 @t432))) % 0.95/1.14 (assume @p325 (forall @t121 (or (tptp.c_lessequals @t3 @t106 @t8) (not (tptp.c_lessequals (tptp.c_Relation_Orel__comp (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t106 @t8) @t2 @t1 @t1 @t1) @t106 @t8)) (not (tptp.c_lessequals @t9 @t106 @t8))))) % 0.95/1.14 (assume @p326 (forall @t335 (or @t334 (not (tptp.c_lessequals @t15 @t333 @t21)) @t183))) % 0.95/1.14 (assume @p327 (forall @t433 (or @t248 @t112))) % 0.95/1.14 (assume @p328 (forall @t115 (or @t246 @t112))) % 0.95/1.14 (assume @p329 (forall @t100 (or @t190 (not @t434)))) % 0.95/1.14 (assume @p330 (forall @t100 (or @t191 @t434))) % 0.95/1.14 (assume @p331 (forall @t323 (or @t322 (not @t435)))) % 0.95/1.14 (assume @p332 (forall @t55 (or @t435 (not @t322)))) % 0.95/1.14 (assume @p333 (forall @t109 (or (tptp.c_Relation_Osym @t359 @t1) @t107 @t44))) % 0.95/1.14 (assume @p334 (forall @t433 (or (tptp.c_lessequals @t407 @t15 @t21) @t184 @t88))) % 0.95/1.14 (assume @p335 (forall @t6 (or (= @t60 @t2) @t98))) % 0.95/1.14 (assume @p336 (forall @t6 (or (tptp.c_Relation_Osym @t60 @t1) @t44))) % 0.95/1.14 (assume @p337 (forall @t342 (or (tptp.c_lessequals @t2 @t102 @t8) @t229))) % 0.95/1.14 (assume @p338 (forall (@list @t18 @t15 @t436 @t45 @t1) (or (not (tptp.hBOOL (tptp.c_in @t18 @t15 @t436))) (tptp.hBOOL (tptp.c_in @t185 (tptp.c_Set_Oimage @t45 @t15 @t436 @t1) @t1))))) % 0.95/1.14 (assume @p339 (forall @t438 (or @t132 @t437))) % 0.95/1.14 (assume @p340 (forall (@list @t45 @t18 @t15 @t20 @t1) (or @t437 @t132))) % 0.95/1.14 (assume @p341 (forall (@list @t45 @t18 @t15 @t1 @t20) (or (tptp.hBOOL (tptp.c_in @t185 @t89 @t20)) @t279))) % 0.95/1.14 (assume @p342 (forall @t161 (or @t440 (not @t439)))) % 0.95/1.14 (assume @p343 (forall @t201 (or @t439 (not @t440)))) % 0.95/1.14 (assume @p344 (forall @t6 (= @t60 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 (tptp.c_Relation_Orel__comp @t60 @t2 @t1 @t1 @t1) @t8)))) % 0.95/1.14 (assume @p345 (forall @t39 (= (tptp.c_HOL_Ouminus__class_Ouminus @t28 @t21) @t15))) % 0.95/1.14 (assume @p346 (forall @t442 (or @t366 (= @t441 @t62)))) % 0.95/1.14 (assume @p347 (forall @t37 (or @t36 (= (tptp.c_HOL_Ouminus__class_Ouminus @t35 @t1) @t18)))) % 0.95/1.14 (assume @p348 (forall @t444 (or @t366 (= @t64 @t443)))) % 0.95/1.14 (assume @p349 (forall @t442 (or @t366 (= @t62 @t441)))) % 0.95/1.14 (assume @p350 (forall @t444 (or @t366 (= @t443 @t64)))) % 0.95/1.14 (assume @p351 (forall @t143 (= (tptp.c_Set_Ovimage @t45 @t142 @t1 @t20) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t318 @t407 @t21)))) % 0.95/1.14 (assume @p352 (forall @t151 (or @t445 @t149))) % 0.95/1.14 (assume @p353 (forall @t151 (or @t445 @t146))) % 0.95/1.14 (assume @p354 (forall (@list @t20 @t45 @t18 @t192 @t1) (or (not (tptp.class_HOL_Oord @t20)) (tptp.c_lessequals @t185 (tptp.hAPP @t192 @t18) @t20) (not (tptp.c_lessequals @t45 @t192 (tptp.tc_fun @t1 @t20)))))) % 0.95/1.14 (assume @p355 (forall @t70 (or @t68 @t447 (not @t446)))) % 0.95/1.14 (assume @p356 (forall @t69 (or @t68 @t446 (not @t447)))) % 0.95/1.14 (assume @p357 (forall @t70 (or @t68 @t449 (not @t448)))) % 0.95/1.14 (assume @p358 (forall @t69 (or @t68 @t448 (not @t449)))) % 0.95/1.14 (assume @p359 (forall @t455 (or @t68 @t454 @t288 (not @t452)))) % 0.95/1.14 (assume @p360 (forall @t455 (or @t68 @t454 @t452 @t289))) % 0.95/1.14 (assume @p361 (forall @t69 (or @t456 (= (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Ominus__class_Ominus @t62 @t64 @t1) @t1) (tptp.c_HOL_Ominus__class_Ominus @t64 @t62 @t1))))) % 0.95/1.14 (assume @p362 (forall @t37 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t18 @t309 @t1)))) % 0.95/1.14 (assume @p363 (forall @t37 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t309 @t18 @t1) @t18)))) % 0.95/1.14 (assume @p364 (forall @t37 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t309 @t1) @t18)))) % 0.95/1.14 (assume @p365 (forall @t100 (tptp.c_lessequals @t137 @t14 @t21))) % 0.95/1.14 (assume @p366 (forall @t457 (or @t399 (not @t401) @t162))) % 0.95/1.14 (assume @p367 (forall @t340 (= (tptp.c_Product__Type_OSigma @t110 @t337 @t1 @t20) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t339 @t338 @t82)))) % 0.95/1.14 (assume @p368 (forall (@list @t20 @t14 @t1) (= @t136 @t87))) % 0.95/1.14 (assume @p369 (forall (@list @t20 @t15) (or (not (tptp.class_HOL_Ouminus @t20)) (= (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t26) tptp.v_x) (tptp.c_HOL_Ouminus__class_Ouminus @t458 @t20))))) % 0.95/1.14 (assume @p370 (forall (@list @t20 @t29 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t57 @t216 @t20 @t21) @t87))) % 0.95/1.14 (assume @p371 (forall @t212 (or @t209 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t345 @t18 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t421 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t202 @t18 @t1) @t1))))) % 0.95/1.14 (assume @p372 (forall @t210 (or @t209 (= @t361 @t360)))) % 0.95/1.14 (assume @p373 (forall @t201 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t311 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t110 @t264 @t21)))) % 0.95/1.14 (assume @p374 (forall @t199 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t311 @t15 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t420 @t310 @t21)))) % 0.95/1.14 (assume @p375 (forall (@list @t1 @t91 @t18) (or (not (= @t38 @t92)) @t313))) % 0.95/1.14 (assume @p376 (forall @t49 (or @t36 (= (tptp.c_HOL_Ouminus__class_Ouminus @t34 @t1) @t309)))) % 0.95/1.14 (assume @p377 (forall @t49 (= @t105 @t87))) % 0.95/1.14 (assume @p378 (forall @t261 (or @t271 @t459))) % 0.95/1.14 (assume @p379 (forall @t261 (or @t287 @t459))) % 0.95/1.14 (assume @p380 (forall @t100 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t137 @t21) @t137))) % 0.95/1.14 (assume @p381 (= (tptp.hAPP (tptp.c_Order__Relation_Ostrict__linear__order__on tptp.v_A tptp.t_a) tptp.v_r) (tptp.c_and (tptp.c_Relation_Otrans tptp.v_r tptp.t_a) (tptp.c_and (tptp.c_Relation_Oirrefl tptp.v_r tptp.t_a) @t353)))) % 0.95/1.14 (assume @p382 (forall @t156 (or (= @t155 @t154) (not (tptp.c_Relation_Osingle__valued (tptp.c_Relation_Oconverse @t40 @t20 @t1) @t1 @t20))))) % 0.95/1.14 (assume @p383 (forall (@list @t415 @t1 @t410 @t416 @t414 @t413 @t412 @t411 @t409) (or (= (tptp.hAPP @t415 @t38) @t410) @t417))) % 0.95/1.14 (assume @p384 (forall (@list @t416 @t1 @t409 @t415 @t414 @t413 @t412 @t411 @t410) (or (= (tptp.hAPP @t416 @t38) @t409) @t417))) % 0.95/1.14 (assume @p385 (forall @t461 (or @t336 @t460))) % 0.95/1.14 (assume @p386 (forall @t461 (or @t336 @t32))) % 0.95/1.14 (assume @p387 (forall @t429 (= (tptp.c_Relation_ORange (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t14 @t173) @t20 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t428 @t427 @t21)))) % 0.95/1.14 (assume @p388 (forall @t465 (or @t464 @t223 (not @t462) @t98))) % 0.95/1.14 (assume @p389 (forall @t37 (or @t287 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t18 @t18 @t1) @t18)))) % 0.95/1.14 (assume @p390 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t15 @t21) @t15))) % 0.95/1.14 (assume @p391 (forall @t212 (or @t232 @t304 @t466))) % 0.95/1.14 (assume @p392 (forall @t405 (or @t232 @t302 @t466))) % 0.95/1.14 (assume @p393 (forall @t393 (or @t232 @t467 @t390))) % 0.95/1.14 (assume @p394 (forall @t393 (or @t232 @t467 @t388))) % 0.95/1.14 (assume @p395 (forall (@list @t1 @t64 @t18 @t62) (or @t232 @t293 @t468))) % 0.95/1.14 (assume @p396 (forall (@list @t1 @t62 @t18 @t64) (or @t232 @t291 @t468))) % 0.95/1.14 (assume @p397 (forall @t365 (or @t177 @t469))) % 0.95/1.14 (assume @p398 (forall @t199 (or @t179 @t469))) % 0.95/1.14 (assume @p399 (forall @t472 (= @t471 @t470))) % 0.95/1.14 (assume @p400 (forall @t196 (or @t195 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t45 @t192 @t26) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t194 @t193 @t20))))) % 0.95/1.14 (assume @p401 (forall (@list @t1 @t202 @t18 @t204) (or @t368 @t301 (not (tptp.c_lessequals @t202 @t204 @t1)) @t289))) % 0.95/1.14 (assume @p402 (forall @t358 (or @t357 @t279 @t72))) % 0.95/1.14 (assume @p403 (forall @t275 (or @t274 @t32 @t72))) % 0.95/1.14 (assume @p404 (forall @t378 (tptp.c_lessequals @t18 @t18 @t21))) % 0.95/1.14 (assume @p405 (forall @t358 (or @t357 @t72 @t279))) % 0.95/1.14 (assume @p406 (forall (@list @t473 @t14 @t1 @t15) (or (tptp.hBOOL (tptp.c_in @t473 @t14 @t1)) (not (tptp.hBOOL (tptp.c_in @t473 @t15 @t1))) @t72))) % 0.95/1.14 (assume @p407 (forall @t39 (tptp.c_lessequals @t15 @t15 @t21))) % 0.95/1.14 (assume @p408 (forall @t365 (or @t177 @t180 @t72))) % 0.95/1.14 (assume @p409 (forall @t115 (or @t246 @t72 @t249))) % 0.95/1.14 (assume @p410 (forall @t476 (or @t475 @t313 @t474))) % 0.95/1.14 (assume @p411 (forall @t37 (or @t368 @t477))) % 0.95/1.14 (assume @p412 (forall @t37 (or @t478 @t477))) % 0.95/1.14 (assume @p413 (forall @t121 (or @t12 (not (tptp.c_Relation_Oantisym @t106 @t1)) @t118))) % 0.95/1.14 (assume @p414 (forall @t78 (or @t182 @t479 @t72))) % 0.95/1.14 (assume @p415 (forall @t476 (or @t475 @t474 @t313))) % 0.95/1.14 (assume @p416 (forall @t121 (or @t362 @t118 (not (tptp.c_Wellfounded_Oacyclic @t106 @t1))))) % 0.95/1.14 (assume @p417 (forall @t78 (or @t182 @t72 @t479))) % 0.95/1.14 (assume @p418 (forall @t481 (or @t341 (not (tptp.c_Relation_Osingle__valued @t106 @t1 @t20)) @t480))) % 0.95/1.14 (assume @p419 (forall @t405 (or @t478 @t302 @t305 @t285))) % 0.95/1.14 (assume @p420 (forall (@list @t14 @t62 @t64 @t15 @t1 @t20) (or @t483 @t168 @t482))) % 0.95/1.14 (assume @p421 (forall (@list @t62 @t15 @t1 @t14 @t64 @t20) (or @t168 @t483 @t482))) % 0.95/1.14 (assume @p422 (forall (@list @t14 @t18 @t64 @t15 @t1 @t20) (or (tptp.hBOOL (tptp.hAPP @t133 @t64)) @t279 @t482))) % 0.95/1.14 (assume @p423 (forall @t6 (= @t60 @t4))) % 0.95/1.14 (assume @p424 (forall @t6 (= @t60 @t5))) % 0.95/1.14 (assume @p425 (forall @t81 (or (not (= @t59 @t38)) @t58))) % 0.95/1.14 (assume @p426 (forall @t381 (or (tptp.c_lessequals @t137 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t379 @t21) @t21) @t380 @t178))) % 0.95/1.14 (assume @p427 (forall @t201 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t158 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t99 @t484 @t21)))) % 0.95/1.14 (assume @p428 (forall @t181 (or @t485 @t180 @t178 @t176))) % 0.95/1.14 (assume @p429 (forall (@list @t15 @t14 @t20 @t218 @t1) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t238 @t218 @t20 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t15 @t218 @t20 @t21) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OINFI @t14 @t218 @t20 @t21) @t21)))) % 0.95/1.14 (assume @p430 (forall @t90 (or (tptp.c_lessequals (tptp.c_Set_Oimage @t45 @t28 @t1 @t20) (tptp.c_HOL_Ouminus__class_Ouminus @t89 @t56) @t56) @t88))) % 0.95/1.14 (assume @p431 (forall @t39 (or @t217 (not (tptp.c_lessequals @t15 @t28 @t21))))) % 0.95/1.14 (assume @p432 (forall (@list @t18 @t15 @t91 @t1) (or @t213 @t313 @t279))) % 0.95/1.14 (assume @p433 (forall (@list @t15 @t486 @t116 @t1 @t20) (or (= (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.hAPP @t15 @t486) @t164 @t56) @t164) (not (tptp.hBOOL (tptp.c_in @t486 @t116 @t1)))))) % 0.95/1.14 (assume @p434 (forall @t481 (or (tptp.c_lessequals @t169 (tptp.c_Relation_ODomain @t106 @t1 @t20) @t21) @t480))) % 0.95/1.14 (assume @p435 (forall @t201 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t311 @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t99 @t484 @t21)))) % 0.95/1.14 (assume @p436 (forall @t472 (= @t470 @t471))) % 0.95/1.14 (assume @p437 (forall @t225 (or @t222 (not @t487)))) % 0.95/1.14 (assume @p438 (forall @t225 (or @t487 @t223))) % 0.95/1.14 (assume @p439 (forall (@list @t15 @t20 @t1) (= (tptp.c_Product__Type_OSigma @t15 (tptp.c_COMBK @t57 @t56 @t1) @t1 @t20) @t83))) % 0.95/1.14 (assume @p440 (forall (@list @t15 @t45 @t18 @t1 @t20) (or @t489 (not @t488)))) % 0.95/1.14 (assume @p441 (forall (@list @t45 @t15 @t1 @t20 @t18) (or @t488 (not @t489)))) % 0.95/1.14 (assume @p442 (forall @t225 (or @t490 @t221))) % 0.95/1.14 (assume @p443 (forall @t225 (or @t220 (not @t490)))) % 0.95/1.14 (assume @p444 (forall @t461 (or @t272 @t460 @t32))) % 0.95/1.14 (assume @p445 (forall @t329 (or @t431 @t328 @t330))) % 0.95/1.14 (assume @p446 (forall @t69 (or @t419 (= @t295 (tptp.c_HOL_Ouminus__class_Ouminus @t424 @t1))))) % 0.95/1.14 (assume @p447 (forall @t375 (or (= @t374 @t87) (not @t373)))) % 0.95/1.14 (assume @p448 (forall @t115 (or @t175 @t72))) % 0.95/1.14 (assume @p449 (forall @t438 (or (not (tptp.c_lessequals @t18 @t15 @t56)) (tptp.c_lessequals (tptp.c_Set_Oimage @t45 @t18 @t20 @t1) @t59 @t21)))) % 0.95/1.14 (assume @p450 (forall @t49 (tptp.hBOOL (tptp.c_Order__Relation_Olinear__order__on @t38 @t48 @t1)))) % 0.95/1.14 (assume @p451 (forall (@list @t15 @t20 @t45 @t1) (or (tptp.c_Finite__Set_Ofinite @t15 @t20) (not (tptp.c_Fun_Oinj__on @t45 @t15 @t20 @t1)) (not (tptp.c_Finite__Set_Ofinite @t59 @t1))))) % 0.95/1.14 (assume @p452 (forall @t49 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t38 @t38 @t21) @t38))) % 0.95/1.14 (assume @p453 (forall @t6 (tptp.c_Relation_Osym (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t95 @t8) @t1))) % 0.95/1.14 (assume @p454 (forall @t143 (= (tptp.c_Set_Oimage @t45 @t238 @t20 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t59 @t141 @t21)))) % 0.95/1.14 (assume @p455 (forall @t258 (= (tptp.c_Set_Ovimage @t45 @t57 @t1 @t20) @t38))) % 0.95/1.14 (assume @p456 (forall @t49 (= (tptp.c_Transitive__Closure_Otrancl @t48 @t1) @t48))) % 0.95/1.14 (assume @p457 (forall @t472 (or (not (= @t470 @t38)) (= @t2 @t371)))) % 0.95/1.14 (assume @p458 (forall (@list @t233 @t491 @t1 @t20 @t2 @t15) (or (tptp.c_lessequals (tptp.c_Relation_OImage @t233 @t491 @t1 @t20) (tptp.c_Relation_OImage @t2 @t15 @t1 @t20) @t56) (not (tptp.c_lessequals @t491 @t15 @t21)) @t234))) % 0.95/1.14 (assume @p459 (forall (@list @t1 @t18 @t15) (or @t140 (tptp.c_lessequals @t18 (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t1) @t1) @t279))) % 0.95/1.14 (assume @p460 (forall @t42 (= (tptp.c_Transitive__Closure_Ortrancl (tptp.c_Transitive__Closure_Otrancl @t40 @t1) @t1) @t41))) % 0.95/1.14 (assume @p461 (forall @t6 (= (tptp.c_Transitive__Closure_Ortrancl @t3 @t1) @t3))) % 0.95/1.14 (assume @p462 (forall @t300 (or (not (tptp.class_Orderings_Olinorder @t1)) @t288 @t284))) % 0.95/1.14 (assume @p463 (forall @t397 (or @t125 @t492 (= @t15 @t309)))) % 0.95/1.14 (assume @p464 (forall @t397 (or @t125 @t492 (= @t14 @t309)))) % 0.95/1.14 (assume @p465 (forall @t37 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t309 @t18 @t1) @t309)))) % 0.95/1.14 (assume @p466 (forall @t37 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t18 @t309 @t1) @t309)))) % 0.95/1.14 (assume @p467 (forall @t49 (or @t426 @t377))) % 0.95/1.14 (assume @p468 (forall @t39 (tptp.c_lessequals @t15 @t87 @t21))) % 0.95/1.14 (assume @p469 (forall @t39 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t87 @t21) @t15))) % 0.95/1.14 (assume @p470 (forall @t94 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t87 @t14 @t21) @t14))) % 0.95/1.14 (assume @p471 (forall @t49 (not (= @t87 @t38)))) % 0.95/1.14 (assume @p472 (forall (@list @t45 @t18 @t204 @t1 @t20) (or @t281 @t88 @t277))) % 0.95/1.14 (assume @p473 (forall @t378 (tptp.hBOOL (tptp.c_in @t18 @t87 @t1)))) % 0.95/1.14 (assume @p474 (forall @t39 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t87 @t21) @t87))) % 0.95/1.14 (assume @p475 (forall @t94 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t87 @t14 @t21) @t87))) % 0.95/1.14 (assume @p476 (forall @t258 (= (tptp.c_Set_Ovimage @t45 @t226 @t1 @t20) @t87))) % 0.95/1.14 (assume @p477 (forall (@list @t416 @t1 @t410 @t415 @t414 @t413 @t412 @t411 @t409) (or (= (tptp.hAPP @t416 @t87) @t410) @t417))) % 0.95/1.14 (assume @p478 (forall (@list @t415 @t1 @t409 @t416 @t414 @t413 @t412 @t411 @t410) (or (= (tptp.hAPP @t415 @t87) @t409) @t417))) % 0.95/1.14 (assume @p479 (forall @t135 (= (tptp.c_HOL_Ominus__class_Ominus @t134 @t14 @t21) (tptp.c_HOL_Ominus__class_Ominus @t87 @t14 @t21)))) % 0.95/1.14 (assume @p480 (forall @t139 (or @t485 @t88))) % 0.95/1.14 (assume @p481 (forall (@list @t14 @t17 @t15 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t14 (tptp.c_HOL_Ominus__class_Ominus @t17 @t15 @t21) @t21) @t15) @t180 @t72))) % 0.95/1.14 (assume @p482 (forall @t161 (= (tptp.c_HOL_Ominus__class_Ominus @t137 @t17 @t21) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t493 @t21)))) % 0.95/1.14 (assume @p483 (forall @t365 (= @t494 (tptp.c_HOL_Ominus__class_Ominus @t200 @t14 @t21)))) % 0.95/1.14 (assume @p484 (forall @t381 (or (tptp.c_lessequals @t99 (tptp.c_HOL_Ominus__class_Ominus @t17 @t379 @t21) @t21) (not (tptp.c_lessequals @t379 @t14 @t21)) @t178))) % 0.95/1.14 (assume @p485 (forall @t161 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t99 @t17 @t21) @t494))) % 0.95/1.14 (assume @p486 (forall @t457 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t99 @t21) (tptp.c_HOL_Ominus__class_Ominus @t197 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t14 @t21) @t21)))) % 0.95/1.14 (assume @p487 (forall @t93 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t15 @t21) @t38))) % 0.95/1.14 (assume @p488 (forall @t39 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t15 @t21) @t38))) % 0.95/1.14 (assume @p489 (forall @t39 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t38 @t21) @t15))) % 0.95/1.14 (assume @p490 (forall @t275 (or @t460 @t496))) % 0.95/1.14 (assume @p491 (forall @t276 (or @t31 @t496))) % 0.95/1.14 (assume @p492 (forall @t100 (or @t497 @t183 @t479))) % 0.95/1.14 (assume @p493 (forall @t78 (or @t182 (not @t497) @t479))) % 0.95/1.14 (assume @p494 (forall @t143 (= (tptp.c_Set_Ovimage @t45 @t262 @t1 @t20) (tptp.c_HOL_Ominus__class_Ominus @t318 @t407 @t21)))) % 0.95/1.14 (assume @p495 (forall @t139 (or (tptp.c_Fun_Oinj__on @t45 @t99 @t1 @t20) @t247))) % 0.95/1.14 (assume @p496 (forall @t100 (or @t497 @t183))) % 0.95/1.14 (assume @p497 (forall @t100 (tptp.c_lessequals @t99 @t15 @t21))) % 0.95/1.14 (assume @p498 (forall @t461 (or @t495 @t274 @t32))) % 0.95/1.14 (assume @p499 (forall @t76 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t250 @t15 @t21) @t420))) % 0.95/1.14 (assume @p500 (forall @t100 (= @t308 @t110))) % 0.95/1.14 (assume @p501 (forall @t161 (= (tptp.c_HOL_Ominus__class_Ominus @t110 @t17 @t21) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t484 @t493 @t21)))) % 0.95/1.14 (assume @p502 (forall (@list @t45 @t1) (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_Wellfounded_Omeasure @t45 @t1) @t1)))) % 0.95/1.14 (assume @p503 (forall (@list @t498 @t1 @t2) (or (tptp.hBOOL (tptp.c_Wellfounded_Owf @t498 @t1)) (not (tptp.c_lessequals @t498 @t2 @t8)) @t331))) % 0.95/1.14 (assume @p504 (forall (@list @t233 @t2 @t1) (or (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t233 @t2 @t8) @t1)) @t331))) % 0.95/1.14 (assume @p505 (forall (@list @t2 @t233 @t1) (or (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t233 @t8) @t1)) @t331))) % 0.95/1.14 (assume @p506 (forall (@list @t40 @t1 @t255) (or @t320 (not (tptp.hBOOL (tptp.c_Wellfounded_Owf @t398 @t1)))))) % 0.95/1.14 (assume @p507 (forall (@list @t499 @t1) (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_List_Omeasures @t499 @t1) @t1)))) % 0.95/1.14 (assume @p508 (forall (@list @t91 @t500 @t2 @t1) (or (tptp.hBOOL (tptp.hAPP @t91 @t500)) (not (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1 @t91 @t2 @t1)))) @t331))) % 0.95/1.14 (assume @p509 (forall (@list @t45 @t40 @t1) (or (tptp.hBOOL (tptp.c_Wellfounded_Owf (tptp.c_Wellfounded_Omlex__prod @t45 @t40 @t1) @t1)) @t321))) % 0.95/1.14 (assume @p510 (forall @t6 (or (tptp.hBOOL (tptp.c_Wellfounded_Owf @t60 @t1)) @t331))) % 0.95/1.14 (assume @p511 (forall @t501 (or @t315 (not (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1 @t91 @t2 @t1)))) @t331))) % 0.95/1.14 (assume @p512 (forall @t47 (or (tptp.hBOOL (tptp.c_Wellfounded_Owf @t46 @t20)) @t331))) % 0.95/1.14 (assume @p513 (forall (@list @t91 @t502 @t40 @t1) (or (tptp.hBOOL (tptp.hAPP @t91 @t502)) (not (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_List_Osko__Recdef__Xtfl__wf__induct__1__1 @t91 @t40 @t1)))) @t321))) % 0.95/1.14 (assume @p514 (forall @t42 (or @t320 (not @t503)))) % 0.95/1.14 (assume @p515 (forall @t42 (or @t503 @t321))) % 0.95/1.14 (assume @p516 (forall @t6 (or @t362 @t331))) % 0.95/1.14 (assume @p517 (forall @t49 (tptp.hBOOL (tptp.c_Wellfounded_Owf @t48 @t1)))) % 0.95/1.14 (assume @p518 (forall @t501 (or @t315 (not (tptp.hBOOL (tptp.hAPP @t91 (tptp.c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1 @t91 @t2 @t1)))) @t331))) % 0.95/1.14 (assume @p519 (forall @t350 (tptp.c_Relation_Orefl__on @t87 @t10 @t1))) % 0.95/1.14 (assume @p520 (forall @t340 (= (tptp.c_Product__Type_OSigma @t99 @t337 @t1 @t20) (tptp.c_HOL_Ominus__class_Ominus @t339 @t338 @t82)))) % 0.95/1.14 (assume @p521 (forall (@list @t15 @t20 @t1 @t14) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t428 @t427 @t21) (tptp.c_Relation_ORange (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t173) @t20 @t1) @t21))) % 0.95/1.14 (assume @p522 (forall (@list @t15 @t1 @t20 @t14) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t123 @t122 @t21) (tptp.c_Relation_ODomain (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t82) @t1 @t20) @t21))) % 0.95/1.14 (assume @p523 (forall @t49 (tptp.hBOOL (tptp.c_Relation_Otrans @t9 @t1)))) % 0.95/1.14 (assume @p524 (forall @t49 (tptp.c_Relation_Oantisym @t9 @t1))) % 0.95/1.14 (assume @p525 (forall @t49 (= (tptp.c_Relation_Oconverse @t9 @t1 @t1) @t9))) % 0.95/1.14 (assume @p526 (forall @t49 (tptp.c_Relation_Osingle__valued @t9 @t1 @t1))) % 0.95/1.14 (assume @p527 (forall @t93 (= (tptp.c_Relation_OImage @t9 @t15 @t1 @t1) @t15))) % 0.95/1.14 (assume @p528 (forall @t101 (= (tptp.c_Relation_Orel__comp @t40 (tptp.c_Relation_OId @t20) @t1 @t20 @t20) @t40))) % 0.95/1.14 (assume @p529 (forall (@list @t1 @t40 @t20) (= (tptp.c_Relation_Orel__comp @t9 @t40 @t1 @t1 @t20) @t40))) % 0.95/1.14 (assume @p530 (forall @t49 (tptp.c_Relation_Osym @t9 @t1))) % 0.95/1.14 (assume @p531 (forall @t6 (or (tptp.hBOOL (tptp.c_Relation_Otrans @t504 @t1)) @t13 @t98))) % 0.95/1.14 (assume @p532 (forall @t225 (or @t224 (not @t505)))) % 0.95/1.14 (assume @p533 (forall @t225 (or @t505 @t506))) % 0.95/1.14 (assume @p534 (forall @t225 (or @t224 @t508))) % 0.95/1.14 (assume @p535 (forall @t225 (or @t222 @t506))) % 0.95/1.14 (assume @p536 (forall @t225 (or @t220 @t506))) % 0.95/1.14 (assume @p537 (forall @t342 (or @t97 @t509))) % 0.95/1.14 (assume @p538 (forall @t342 (or @t462 @t509))) % 0.95/1.14 (assume @p539 (forall @t225 (or @t222 @t509))) % 0.95/1.14 (assume @p540 (= (tptp.c_Order__Relation_Owell__order__on tptp.v_A tptp.v_r tptp.t_a) (tptp.c_and @t354 (tptp.c_Wellfounded_Owf (tptp.c_HOL_Ominus__class_Ominus tptp.v_r (tptp.c_Relation_OId tptp.t_a) (tptp.tc_fun (tptp.tc_prod tptp.t_a tptp.t_a) tptp.tc_bool)) tptp.t_a)))) % 0.95/1.14 (assume @p541 (forall (@list @t20 @t15 @t14) (or (not (tptp.class_HOL_Ominus @t20)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 @t26) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t458 (tptp.hAPP @t14 tptp.v_x) @t20))))) % 0.95/1.14 (assume @p542 (forall @t27 (or (not (tptp.class_Orderings_Otop @t20)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t26) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t20))))) % 0.95/1.14 (assume @p543 (forall @t49 (or @t140 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t87 @t1) @t309)))) % 0.95/1.14 (assume @p544 (forall @t39 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t87 @t21) @t38))) % 0.95/1.14 (assume @p545 (forall @t39 (= @t28 (tptp.c_HOL_Ominus__class_Ominus @t87 @t15 @t21)))) % 0.95/1.14 (assume @p546 (forall @t49 (tptp.c_Relation_Orefl__on @t87 @t9 @t1))) % 0.95/1.14 (assume @p547 (forall @t49 (= (tptp.c_Relation_ORange @t9 @t1 @t1) @t87))) % 0.95/1.14 (assume @p548 (forall @t49 (= (tptp.c_Relation_ODomain @t9 @t1 @t1) @t87))) % 0.95/1.14 (assume @p549 (forall @t189 (= (tptp.c_Product__Type_OSigma (tptp.c_HOL_Ominus__class_Ominus @t116 @t186 @t21) @t17 @t1 @t20) (tptp.c_HOL_Ominus__class_Ominus @t188 @t187 @t82)))) % 0.95/1.14 (assume @p550 (forall @t225 (or @t510 @t223))) % 0.95/1.14 (assume @p551 (forall @t225 (or @t222 (not @t510)))) % 0.95/1.14 (assume @p552 (forall @t6 (= (tptp.c_Transitive__Closure_Ortrancl @t504 @t1) @t3))) % 0.95/1.14 (assume @p553 (forall @t6 (tptp.hBOOL (tptp.c_Relation_Oirrefl @t504 @t1)))) % 0.95/1.14 (assume @p554 (= tptp.c_Arrow__Order__Mirabelle_OLin (tptp.c_Collect @t513 @t511))) % 0.95/1.14 (assume @p555 (forall @t342 (or @t514 @t508))) % 0.95/1.14 (assume @p556 (forall @t225 (or @t507 (not @t514) @t506))) % 0.95/1.14 (assume @p557 (forall @t37 (tptp.hBOOL (tptp.hAPP @t87 @t18)))) % 0.95/1.14 (assume @p558 (forall @t100 (= (tptp.c_HOL_Ominus__class_Ominus @t99 @t14 @t21) @t99))) % 0.95/1.14 (assume @p559 (forall (@list @t1 @t283 @t204 @t18) (or @t456 (not (= (tptp.c_HOL_Ominus__class_Ominus @t283 @t204 @t1) @t515)) (= @t283 @t204)))) % 0.95/1.14 (assume @p560 (forall (@list @t1 @t18 @t450 @t451) (or @t456 (not (= @t515 @t453)) (= @t450 @t451)))) % 0.95/1.14 (assume @p561 (forall @t465 (or (tptp.hBOOL (tptp.hAPP @t463 @t504)) @t506))) % 0.95/1.14 (assume @p562 @t516) % 0.95/1.14 (assume @p563 (tptp.hBOOL (tptp.c_Wellfounded_Owf @t517 tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 0.95/1.14 (assume @p564 @t518) % 0.95/1.14 (assume @p565 (forall @t523 (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_prod @t519 @t521)) @t522 @t520))) % 0.95/1.14 (assume @p566 (forall @t523 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t524) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t521))))) % 0.95/1.14 (assume @p567 (forall @t523 (or (tptp.class_Lattices_Oupper__semilattice @t524) @t525))) % 0.95/1.14 (assume @p568 (forall @t523 (or (tptp.class_Lattices_Olower__semilattice @t524) @t525))) % 0.95/1.14 (assume @p569 (forall @t523 (or (tptp.class_Lattices_Odistrib__lattice @t524) (not (tptp.class_Lattices_Odistrib__lattice @t521))))) % 0.95/1.14 (assume @p570 (forall @t523 (or (tptp.class_Lattices_Obounded__lattice @t524) (not (tptp.class_Lattices_Obounded__lattice @t521))))) % 0.95/1.14 (assume @p571 (forall @t523 (or (tptp.class_Lattices_Oboolean__algebra @t524) (not (tptp.class_Lattices_Oboolean__algebra @t521))))) % 0.95/1.14 (assume @p572 (forall @t523 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t524) @t522 @t520))) % 0.95/1.14 (assume @p573 (forall @t523 (or (tptp.class_Orderings_Opreorder @t524) (not (tptp.class_Orderings_Opreorder @t521))))) % 0.95/1.14 (assume @p574 (forall @t523 (or (tptp.class_Lattices_Olattice @t524) @t525))) % 0.95/1.14 (assume @p575 (forall @t523 (or (tptp.class_Orderings_Oorder @t524) (not (tptp.class_Orderings_Oorder @t521))))) % 0.95/1.14 (assume @p576 (forall @t523 (or (tptp.class_Orderings_Otop @t524) (not (tptp.class_Orderings_Otop @t521))))) % 0.95/1.14 (assume @p577 (forall @t523 (or (tptp.class_Orderings_Obot @t524) (not (tptp.class_Orderings_Obot @t521))))) % 0.95/1.14 (assume @p578 (forall @t523 (or (tptp.class_HOL_Ouminus @t524) (not (tptp.class_HOL_Ouminus @t521))))) % 0.95/1.14 (assume @p579 (forall @t523 (or (tptp.class_HOL_Ominus @t524) (not (tptp.class_HOL_Ominus @t521))))) % 0.95/1.14 (assume @p580 (forall @t523 (or (tptp.class_HOL_Oord @t524) (not (tptp.class_HOL_Oord @t521))))) % 0.95/1.14 (assume @p581 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.95/1.14 (assume @p582 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.95/1.14 (assume @p583 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.95/1.14 (assume @p584 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.95/1.14 (assume @p585 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.95/1.14 (assume @p586 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 0.95/1.14 (assume @p587 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.95/1.14 (assume @p588 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.95/1.14 (assume @p589 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.95/1.14 (assume @p590 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.95/1.14 (assume @p591 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.95/1.14 (assume @p592 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.95/1.14 (assume @p593 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 0.95/1.14 (assume @p594 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.95/1.14 (assume @p595 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.95/1.14 (assume @p596 (forall @t378 (tptp.c_fequal @t18 @t18 @t1))) % 0.95/1.14 (assume @p597 (forall (@list @t527 @t526 @t1) (or (= @t527 @t526) (not (tptp.c_fequal @t527 @t526 @t1))))) % 0.95/1.14 (step @p598 :rule instantiate :premises (@p561) :args ((@list @t512 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_r))) % 0.95/1.14 (step @p599 :rule cnf_or_pos :args (@t530)) % 0.95/1.14 (step @p600 :rule reordering :premises (@p599) :args ((or @t528 @t529 (not @t530)))) % 0.95/1.14 (step @p601 :rule chain_m_resolution :premises (@p600 @p562 @p598) :args (@t529 @t531 (@list @t516 @t530))) % 0.95/1.14 (assume-push @p608 @t518) % 0.95/1.14 (step @p603 :rule instantiate :premises (@p564) :args ((@list @t517))) % 0.95/1.14 (step-pop @p609 :rule scope :premises (@p603)) % 0.95/1.14 (step @p604 :rule process_scope :premises (@p609) :args ((not @t529))) % 0.95/1.14 (step @p606 :rule implies_elim :premises (@p604)) % 0.95/1.14 (step @p607 false :rule chain_m_resolution :premises (@p606 @p601 @p564) :args (false @t531 (@list @t529 @t518))) % 0.95/1.14 ) % 0.95/1.15 % SZS output end Proof % 0.95/1.15 % cvc5 exiting %------------------------------------------------------------------------------