%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT071-1 : 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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:15 AM UTC 2026 % Result : Unsatisfiable 1.54s 1.72s % Output : Proof 1.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT071-1 : 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 % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:23:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.40/0.70 %----Proving TF0_NAR, FOF, or CNF % 0.56/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.54/1.72 % SZS status Unsatisfiable % 1.54/1.72 % SZS output start Proof % 1.54/1.75 ( % 1.54/1.75 (declare-sort $$unsorted 0) % 1.54/1.75 (declare-const tptp.v_thesis____ Bool) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_List_Osko__List__Xall__nat__less__eq__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_List_Osko__List__Xex__nat__less__eq__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__XinjI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_SetInterval_Oord__class_OlessThan (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.54/1.75 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.tc_nat $$unsorted) % 1.54/1.75 (declare-const tptp.c_Fun_Obij__betw (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Fun_Osurj (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.tc_bool $$unsorted) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Fun_Obij (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.t_a $$unsorted) % 1.54/1.75 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.v_x $$unsorted) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_Typedef_Otype__definition (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.54/1.75 (declare-const tptp.c_ATP__Linkup_Osko__Fun__XinjI__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.54/1.75 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.54/1.75 (define @t1 () (@var "V_n" $$unsorted)) % 1.54/1.75 (define @t2 () (@var "V_m" $$unsorted)) % 1.54/1.75 (define @t3 () (tptp.c_lessequals @t2 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t4 () (not @t3)) % 1.54/1.75 (define @t5 () (tptp.c_Suc @t1)) % 1.54/1.75 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t2 @t5 tptp.tc_nat)) % 1.54/1.75 (define @t7 () (@list @t2 @t1)) % 1.54/1.75 (define @t8 () (@var "T_b" $$unsorted)) % 1.54/1.75 (define @t9 () (@var "T_a" $$unsorted)) % 1.54/1.75 (define @t10 () (@var "V_f" $$unsorted)) % 1.54/1.75 (define @t11 () (tptp.c_Fun_Osurj @t10 @t9 @t8)) % 1.54/1.75 (define @t12 () (not @t11)) % 1.54/1.75 (define @t13 () (tptp.c_Fun_Oid @t8)) % 1.54/1.75 (define @t14 () (tptp.tc_fun @t9 tptp.tc_bool)) % 1.54/1.75 (define @t15 () (tptp.c_Orderings_Otop__class_Otop @t14)) % 1.54/1.75 (define @t16 () (tptp.c_Hilbert__Choice_Oinv__into @t15 @t10 @t9 @t8)) % 1.54/1.75 (define @t17 () (= (tptp.c_Fun_Ocomp @t10 @t16 @t9 @t8 @t8) @t13)) % 1.54/1.75 (define @t18 () (@list @t10 @t9 @t8)) % 1.54/1.75 (define @t19 () (@var "V_x" $$unsorted)) % 1.54/1.75 (define @t20 () (@var "V_z" $$unsorted)) % 1.54/1.75 (define @t21 () (@var "V_y" $$unsorted)) % 1.54/1.75 (define @t22 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t19 @t9)) % 1.54/1.75 (define @t23 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t20 @t9)) % 1.54/1.75 (define @t24 () (not (tptp.class_Lattices_Odistrib__lattice @t9))) % 1.54/1.75 (define @t25 () (@list @t9 @t21 @t20 @t19)) % 1.54/1.75 (define @t26 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t20 @t9)) % 1.54/1.75 (define @t27 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t21 @t9)) % 1.54/1.75 (define @t28 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t27 @t26 @t9)) % 1.54/1.75 (define @t29 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t23 @t9)) % 1.54/1.75 (define @t30 () (@list @t9 @t19 @t21 @t20)) % 1.54/1.75 (define @t31 () (@var "V_C" $$unsorted)) % 1.54/1.75 (define @t32 () (@var "V_A" $$unsorted)) % 1.54/1.75 (define @t33 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t31 @t14)) % 1.54/1.75 (define @t34 () (@var "V_B" $$unsorted)) % 1.54/1.75 (define @t35 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t34 @t14)) % 1.54/1.75 (define @t36 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t31 @t14)) % 1.54/1.75 (define @t37 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t36 @t14)) % 1.54/1.75 (define @t38 () (@list @t32 @t34 @t31 @t9)) % 1.54/1.75 (define @t39 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t32 @t14)) % 1.54/1.75 (define @t40 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t32 @t14)) % 1.54/1.75 (define @t41 () (@list @t34 @t31 @t9 @t32)) % 1.54/1.75 (define @t42 () (@var "V_g" $$unsorted)) % 1.54/1.75 (define @t43 () (tptp.hAPP @t42 tptp.v_x)) % 1.54/1.75 (define @t44 () (tptp.hAPP @t10 tptp.v_x)) % 1.54/1.75 (define @t45 () (tptp.tc_fun tptp.t_a @t8)) % 1.54/1.75 (define @t46 () (not (tptp.class_Lattices_Olattice @t8))) % 1.54/1.75 (define @t47 () (@list @t8 @t10 @t42)) % 1.54/1.75 (define @t48 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t34 @t14)) % 1.54/1.75 (define @t49 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 1.54/1.75 (define @t50 () (= @t35 @t49)) % 1.54/1.75 (define @t51 () (not @t50)) % 1.54/1.75 (define @t52 () (@list @t32 @t34 @t9)) % 1.54/1.75 (define @t53 () (@var "V_a" $$unsorted)) % 1.54/1.75 (define @t54 () (tptp.c_Set_Oinsert @t53 @t49 @t9)) % 1.54/1.75 (define @t55 () (@var "V_b" $$unsorted)) % 1.54/1.75 (define @t56 () (tptp.c_Set_Oimage @t10 @t32 @t8 @t9)) % 1.54/1.75 (define @t57 () (not (tptp.hBOOL (tptp.c_in @t19 @t32 @t8)))) % 1.54/1.75 (define @t58 () (tptp.hAPP @t10 @t19)) % 1.54/1.75 (define @t59 () (tptp.c_Finite__Set_Ofinite @t32 @t9)) % 1.54/1.75 (define @t60 () (not @t59)) % 1.54/1.75 (define @t61 () (tptp.tc_fun @t8 tptp.tc_bool)) % 1.54/1.75 (define @t62 () (tptp.c_Set_Oimage @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t63 () (tptp.c_lessequals @t34 @t62 @t61)) % 1.54/1.75 (define @t64 () (not @t63)) % 1.54/1.75 (define @t65 () (tptp.c_Finite__Set_Ofinite @t34 @t8)) % 1.54/1.75 (define @t66 () (tptp.c_Set_Oinsert @t19 @t34 @t9)) % 1.54/1.75 (define @t67 () (tptp.c_lessequals @t32 @t66 @t14)) % 1.54/1.75 (define @t68 () (not @t67)) % 1.54/1.75 (define @t69 () (tptp.hBOOL (tptp.c_in @t19 @t32 @t9))) % 1.54/1.75 (define @t70 () (not @t69)) % 1.54/1.75 (define @t71 () (tptp.c_Set_Oinsert @t19 @t49 @t9)) % 1.54/1.75 (define @t72 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t71 @t14)) % 1.54/1.75 (define @t73 () (tptp.c_lessequals @t72 @t34 @t14)) % 1.54/1.75 (define @t74 () (not @t73)) % 1.54/1.75 (define @t75 () (@list @t32 @t19 @t34 @t9)) % 1.54/1.75 (define @t76 () (tptp.c_HOL_Ozero__class_Ozero @t9)) % 1.54/1.75 (define @t77 () (tptp.c_HOL_Oord__class_Oless @t53 @t76 @t9)) % 1.54/1.75 (define @t78 () (not @t77)) % 1.54/1.75 (define @t79 () (tptp.c_HOL_Ouminus__class_Ouminus @t9)) % 1.54/1.75 (define @t80 () (tptp.hAPP @t79 @t53)) % 1.54/1.75 (define @t81 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t53 @t80 @t9)) % 1.54/1.75 (define @t82 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t9))) % 1.54/1.75 (define @t83 () (not (tptp.class_Orderings_Olinorder @t9))) % 1.54/1.75 (define @t84 () (@list @t9 @t53)) % 1.54/1.75 (define @t85 () (tptp.hBOOL (tptp.c_in @t19 @t34 @t9))) % 1.54/1.75 (define @t86 () (not @t85)) % 1.54/1.75 (define @t87 () (tptp.c_Set_Oinsert @t19 @t32 @t9)) % 1.54/1.75 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t87 @t34 @t14)) % 1.54/1.75 (define @t89 () (@list @t19 @t32 @t9 @t34)) % 1.54/1.75 (define @t90 () (= @t53 @t76)) % 1.54/1.75 (define @t91 () (@var "V_u" $$unsorted)) % 1.54/1.75 (define @t92 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t91 @t9)) % 1.54/1.75 (define @t93 () (@var "V_l" $$unsorted)) % 1.54/1.75 (define @t94 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t93 @t2 @t9)) % 1.54/1.75 (define @t95 () (not (tptp.class_Orderings_Oorder @t9))) % 1.54/1.75 (define @t96 () (@list @t9 @t93 @t2 @t91)) % 1.54/1.75 (define @t97 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.54/1.75 (define @t98 () (tptp.c_Suc @t97)) % 1.54/1.75 (define @t99 () (= @t1 @t97)) % 1.54/1.75 (define @t100 () (@list @t1)) % 1.54/1.75 (define @t101 () (tptp.c_lessequals @t87 @t34 @t14)) % 1.54/1.75 (define @t102 () (not @t101)) % 1.54/1.75 (define @t103 () (tptp.c_lessequals @t32 @t34 @t14)) % 1.54/1.75 (define @t104 () (@list @t32 @t34 @t9 @t19)) % 1.54/1.75 (define @t105 () (not @t103)) % 1.54/1.75 (define @t106 () (tptp.c_Set_Oinsert @t55 @t34 @t9)) % 1.54/1.75 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t76 @t53 @t9)) % 1.54/1.75 (define @t108 () (not @t107)) % 1.54/1.75 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t80 @t76 @t9)) % 1.54/1.75 (define @t110 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t9))) % 1.54/1.75 (define @t111 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t9)) % 1.54/1.75 (define @t112 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t9)) % 1.54/1.75 (define @t113 () (tptp.c_lessequals @t112 @t111 @t9)) % 1.54/1.75 (define @t114 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t9))) % 1.54/1.75 (define @t115 () (@list @t9 @t2 @t1)) % 1.54/1.75 (define @t116 () (@list @t8)) % 1.54/1.75 (define @t117 () (tptp.c_HOL_Ouminus__class_Ouminus @t14)) % 1.54/1.75 (define @t118 () (tptp.hAPP @t117 @t32)) % 1.54/1.75 (define @t119 () (@var "V_c" $$unsorted)) % 1.54/1.75 (define @t120 () (tptp.hBOOL (tptp.c_in @t119 @t118 @t9))) % 1.54/1.75 (define @t121 () (tptp.hBOOL (tptp.c_in @t119 @t32 @t9))) % 1.54/1.75 (define @t122 () (not @t121)) % 1.54/1.75 (define @t123 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 1.54/1.75 (define @t124 () (tptp.hAPP @t79 @t19)) % 1.54/1.75 (define @t125 () (not (tptp.class_Lattices_Oboolean__algebra @t9))) % 1.54/1.75 (define @t126 () (@list @t9 @t19)) % 1.54/1.75 (define @t127 () (@list @t32 @t9)) % 1.54/1.75 (define @t128 () (@list @t9 @t32)) % 1.54/1.75 (define @t129 () (tptp.c_lessequals @t76 @t53 @t9)) % 1.54/1.75 (define @t130 () (not @t129)) % 1.54/1.75 (define @t131 () (tptp.c_Power_Opower__class_Opower @t53 @t1 @t9)) % 1.54/1.75 (define @t132 () (@list @t9 @t53 @t1)) % 1.54/1.75 (define @t133 () (tptp.c_lessequals @t80 @t53 @t9)) % 1.54/1.75 (define @t134 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t9))) % 1.54/1.75 (define @t135 () (not @t133)) % 1.54/1.75 (define @t136 () (tptp.c_lessequals @t53 @t76 @t9)) % 1.54/1.75 (define @t137 () (not @t136)) % 1.54/1.75 (define @t138 () (tptp.c_lessequals @t53 @t80 @t9)) % 1.54/1.75 (define @t139 () (not @t138)) % 1.54/1.75 (define @t140 () (tptp.c_Finite__Set_Ofinite @t48 @t9)) % 1.54/1.75 (define @t141 () (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1 @t32 @t10 @t42 @t9 @t8)) % 1.54/1.75 (define @t142 () (tptp.c_Fun_Oinj__on @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t143 () (@var "T_c" $$unsorted)) % 1.54/1.75 (define @t144 () (tptp.c_Set_Oimage @t42 @t32 @t143 @t9)) % 1.54/1.75 (define @t145 () (not (tptp.c_Fun_Oinj__on @t10 @t144 @t9 @t8))) % 1.54/1.75 (define @t146 () (not (tptp.c_Fun_Oinj__on @t42 @t32 @t143 @t9))) % 1.54/1.75 (define @t147 () (not (tptp.hBOOL (tptp.c_in @t19 (tptp.c_Set_Oimage @t10 @t144 @t9 @t8) @t8)))) % 1.54/1.75 (define @t148 () (tptp.c_Fun_Ocomp @t10 @t42 @t9 @t8 @t143)) % 1.54/1.75 (define @t149 () (@list @t32 @t10 @t42 @t9 @t8 @t143 @t19)) % 1.54/1.75 (define @t150 () (tptp.c_Fun_Obij @t10 @t9 @t8)) % 1.54/1.75 (define @t151 () (not @t150)) % 1.54/1.75 (define @t152 () (tptp.c_HOL_Ouminus__class_Ouminus @t61)) % 1.54/1.75 (define @t153 () (tptp.hAPP @t152 @t62)) % 1.54/1.75 (define @t154 () (tptp.c_Set_Oimage @t10 @t118 @t9 @t8)) % 1.54/1.75 (define @t155 () (@list @t10 @t9 @t32 @t8)) % 1.54/1.75 (define @t156 () (tptp.c_Set_Oinsert @t53 @t34 @t9)) % 1.54/1.75 (define @t157 () (@list @t53 @t34 @t9 @t31)) % 1.54/1.75 (define @t158 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t34 @t14)) % 1.54/1.75 (define @t159 () (@list @t32 @t53 @t34 @t9)) % 1.54/1.75 (define @t160 () (tptp.c_Fun_Ocomp @t42 @t10 @t8 @t143 @t9)) % 1.54/1.75 (define @t161 () (@list @t42 @t10 @t8 @t143 @t9)) % 1.54/1.75 (define @t162 () (tptp.c_Set_Ovimage @t10 @t34 @t9 @t8)) % 1.54/1.75 (define @t163 () (tptp.c_Set_Ovimage @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t164 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t34 @t61)) % 1.54/1.75 (define @t165 () (@list @t10 @t32 @t34 @t8 @t9)) % 1.54/1.75 (define @t166 () (not (tptp.class_Power_Opower @t9))) % 1.54/1.75 (define @t167 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t9))) % 1.54/1.75 (define @t168 () (@list @t9 @t1)) % 1.54/1.75 (define @t169 () (tptp.hAPP @t79 @t55)) % 1.54/1.75 (define @t170 () (tptp.c_lessequals @t169 @t80 @t9)) % 1.54/1.75 (define @t171 () (tptp.c_lessequals @t53 @t55 @t9)) % 1.54/1.75 (define @t172 () (@list @t9 @t53 @t55)) % 1.54/1.75 (define @t173 () (not @t171)) % 1.54/1.75 (define @t174 () (@list @t9 @t55 @t53)) % 1.54/1.75 (define @t175 () (tptp.hAPP @t117 @t34)) % 1.54/1.75 (define @t176 () (tptp.c_lessequals @t118 @t175 @t14)) % 1.54/1.75 (define @t177 () (tptp.c_lessequals @t34 @t32 @t14)) % 1.54/1.75 (define @t178 () (@list @t34 @t32 @t9)) % 1.54/1.75 (define @t179 () (not @t177)) % 1.54/1.75 (define @t180 () (@list @t9 @t32 @t34)) % 1.54/1.75 (define @t181 () (= @t19 @t21)) % 1.54/1.75 (define @t182 () (@var "V_Abs" $$unsorted)) % 1.54/1.75 (define @t183 () (@var "V_Rep" $$unsorted)) % 1.54/1.75 (define @t184 () (not (tptp.c_Typedef_Otype__definition @t183 @t182 @t32 @t9 @t8))) % 1.54/1.75 (define @t185 () (not (tptp.hBOOL (tptp.c_in @t21 @t32 @t8)))) % 1.54/1.75 (define @t186 () (tptp.hAPP @t182 @t21)) % 1.54/1.75 (define @t187 () (tptp.hAPP @t183 @t19)) % 1.54/1.75 (define @t188 () (tptp.c_Set_Ovimage @t10 @t32 @t8 @t9)) % 1.54/1.75 (define @t189 () (tptp.c_Set_Oimage @t10 @t188 @t8 @t9)) % 1.54/1.75 (define @t190 () (@list @t10 @t32 @t8 @t9)) % 1.54/1.75 (define @t191 () (tptp.c_Complete__Lattice_OSup__class_OSup @t32 @t9)) % 1.54/1.75 (define @t192 () (tptp.c_Set_Oinsert @t53 @t32 @t9)) % 1.54/1.75 (define @t193 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t9))) % 1.54/1.75 (define @t194 () (@list @t9 @t53 @t32)) % 1.54/1.75 (define @t195 () (@var "V_k" $$unsorted)) % 1.54/1.75 (define @t196 () (tptp.c_SetInterval_Oord__class_OlessThan @t195 @t9)) % 1.54/1.75 (define @t197 () (@var "V_i" $$unsorted)) % 1.54/1.75 (define @t198 () (tptp.hBOOL (tptp.c_in @t197 @t196 @t9))) % 1.54/1.75 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t197 @t195 @t9)) % 1.54/1.75 (define @t200 () (not (tptp.class_HOL_Oord @t9))) % 1.54/1.75 (define @t201 () (@list @t9 @t197 @t195)) % 1.54/1.75 (define @t202 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t156 @t14)) % 1.54/1.75 (define @t203 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t54 @t14)) % 1.54/1.75 (define @t204 () (not (tptp.c_Finite__Set_Ofinite @t34 @t9))) % 1.54/1.75 (define @t205 () (not @t140)) % 1.54/1.75 (define @t206 () (@list @t32 @t9 @t34)) % 1.54/1.75 (define @t207 () (@list @t8 @t10 @t32 @t9)) % 1.54/1.75 (define @t208 () (@list @t53 @t32 @t9)) % 1.54/1.75 (define @t209 () (@var "T_aa" $$unsorted)) % 1.54/1.75 (define @t210 () (tptp.hAPP @t10 @t53)) % 1.54/1.75 (define @t211 () (tptp.c_Set_Oinsert @t53 @t35 @t9)) % 1.54/1.75 (define @t212 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t213 () (not @t212)) % 1.54/1.75 (define @t214 () (tptp.c_Suc @t2)) % 1.54/1.75 (define @t215 () (tptp.c_lessequals @t214 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t216 () (not @t215)) % 1.54/1.75 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 1.54/1.75 (define @t218 () (not @t217)) % 1.54/1.75 (define @t219 () (tptp.c_lessequals @t5 @t2 tptp.tc_nat)) % 1.54/1.75 (define @t220 () (@list @t1 @t2)) % 1.54/1.75 (define @t221 () (not @t219)) % 1.54/1.75 (define @t222 () (@list @t19 @t32 @t9)) % 1.54/1.75 (define @t223 () (tptp.c_Set_Oinsert @t21 @t32 @t9)) % 1.54/1.75 (define @t224 () (tptp.hBOOL (tptp.hAPP @t223 @t19))) % 1.54/1.75 (define @t225 () (tptp.hBOOL (tptp.hAPP @t32 @t19))) % 1.54/1.75 (define @t226 () (tptp.hAPP @t117 @t49)) % 1.54/1.75 (define @t227 () (@list @t9)) % 1.54/1.75 (define @t228 () (tptp.hBOOL (tptp.c_in @t119 @t48 @t9))) % 1.54/1.75 (define @t229 () (not @t228)) % 1.54/1.75 (define @t230 () (@list @t119 @t32 @t9 @t34)) % 1.54/1.75 (define @t231 () (tptp.hBOOL (tptp.c_in @t53 @t32 @t9))) % 1.54/1.75 (define @t232 () (not @t231)) % 1.54/1.75 (define @t233 () (tptp.c_Finite__Set_Osetsum @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t234 () (tptp.c_Finite__Set_Osetsum @t10 @t203 @t9 @t8)) % 1.54/1.75 (define @t235 () (= @t234 (tptp.c_HOL_Ominus__class_Ominus @t233 @t210 @t8))) % 1.54/1.75 (define @t236 () (not (tptp.class_OrderedGroup_Oab__group__add @t8))) % 1.54/1.75 (define @t237 () (@list @t8 @t10 @t32 @t53 @t9)) % 1.54/1.75 (define @t238 () (not @t6)) % 1.54/1.75 (define @t239 () (tptp.c_Suc @t19)) % 1.54/1.75 (define @t240 () (tptp.c_HOL_Oord__class_Oless @t19 @t239 tptp.tc_nat)) % 1.54/1.75 (define @t241 () (tptp.c_lessequals @t19 @t19 tptp.tc_nat)) % 1.54/1.75 (define @t242 () (@list @t19)) % 1.54/1.75 (define @t243 () (tptp.c_Fun_Oid @t9)) % 1.54/1.75 (define @t244 () (not (tptp.class_Lattices_Oupper__semilattice @t9))) % 1.54/1.75 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t19 @t21 @t9)) % 1.54/1.75 (define @t246 () (not @t245)) % 1.54/1.75 (define @t247 () (not (tptp.c_HOL_Oord__class_Oless @t21 @t20 @t9))) % 1.54/1.75 (define @t248 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t9)) % 1.54/1.75 (define @t249 () (not (tptp.class_Orderings_Opreorder @t9))) % 1.54/1.75 (define @t250 () (@list @t9 @t19 @t20 @t21)) % 1.54/1.75 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t21 @t19 @t9)) % 1.54/1.75 (define @t252 () (not @t251)) % 1.54/1.75 (define @t253 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t21 @t9))) % 1.54/1.75 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t9)) % 1.54/1.75 (define @t255 () (@list @t9 @t20 @t19 @t21)) % 1.54/1.75 (define @t256 () (tptp.c_Finite__Set_Ocard @t72 @t9)) % 1.54/1.75 (define @t257 () (tptp.c_Suc @t256)) % 1.54/1.75 (define @t258 () (tptp.c_Finite__Set_Ocard @t87 @t9)) % 1.54/1.75 (define @t259 () (not @t142)) % 1.54/1.75 (define @t260 () (tptp.hBOOL (tptp.c_in @t210 (tptp.c_Set_Oimage @t10 @t203 @t9 @t8) @t8))) % 1.54/1.75 (define @t261 () (tptp.c_Fun_Oinj__on @t10 @t192 @t9 @t8)) % 1.54/1.75 (define @t262 () (@list @t10 @t53 @t32 @t9 @t8)) % 1.54/1.75 (define @t263 () (tptp.c_Fun_Obij__betw @t10 @t32 @t34 @t9 @t8)) % 1.54/1.75 (define @t264 () (not @t263)) % 1.54/1.75 (define @t265 () (tptp.c_FuncSet_Orestrict @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t266 () (tptp.c_Fun_Obij__betw @t265 @t32 @t34 @t9 @t8)) % 1.54/1.75 (define @t267 () (@list @t10 @t32 @t9 @t8 @t34)) % 1.54/1.75 (define @t268 () (@list @t10 @t32 @t34 @t9 @t8)) % 1.54/1.75 (define @t269 () (not (tptp.hBOOL (tptp.c_in @t19 @t62 @t8)))) % 1.54/1.75 (define @t270 () (not (tptp.hBOOL (tptp.c_in @t21 @t62 @t8)))) % 1.54/1.75 (define @t271 () (tptp.c_Hilbert__Choice_Oinv__into @t32 @t10 @t9 @t8)) % 1.54/1.75 (define @t272 () (tptp.c_Hilbert__Choice_Oinv__into @t32 @t10 @t8 @t9)) % 1.54/1.75 (define @t273 () (@var "V_S" $$unsorted)) % 1.54/1.75 (define @t274 () (tptp.hBOOL (tptp.hAPP @t273 @t19))) % 1.54/1.75 (define @t275 () (tptp.hBOOL (tptp.c_in @t19 @t273 @t9))) % 1.54/1.75 (define @t276 () (tptp.c_Finite__Set_Ocard @t32 @t9)) % 1.54/1.75 (define @t277 () (@var "V_R" $$unsorted)) % 1.54/1.75 (define @t278 () (@var "V_Q" $$unsorted)) % 1.54/1.75 (define @t279 () (@var "V_P" $$unsorted)) % 1.54/1.75 (define @t280 () (tptp.c_COMBI @t9)) % 1.54/1.75 (define @t281 () (tptp.c_Fun_Oinj__on @t10 @t158 @t9 @t8)) % 1.54/1.75 (define @t282 () (tptp.c_Fun_Oinj__on @t10 @t34 @t9 @t8)) % 1.54/1.75 (define @t283 () (not @t282)) % 1.54/1.75 (define @t284 () (tptp.c_Orderings_Obot__class_Obot @t61)) % 1.54/1.75 (define @t285 () (tptp.c_HOL_Ominus__class_Ominus @t34 @t32 @t14)) % 1.54/1.75 (define @t286 () (tptp.c_Set_Oimage @t10 @t48 @t9 @t8)) % 1.54/1.75 (define @t287 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t286 (tptp.c_Set_Oimage @t10 @t285 @t9 @t8) @t61) @t284)) % 1.54/1.75 (define @t288 () (not @t281)) % 1.54/1.75 (define @t289 () (tptp.c_lessequals @t21 @t19 @t9)) % 1.54/1.75 (define @t290 () (@list @t9 @t19 @t21)) % 1.54/1.75 (define @t291 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 @t9)) % 1.54/1.75 (define @t292 () (not @t291)) % 1.54/1.75 (define @t293 () (tptp.c_lessequals @t19 @t19 @t9)) % 1.54/1.75 (define @t294 () (not @t289)) % 1.54/1.75 (define @t295 () (@list @t9 @t21 @t19)) % 1.54/1.75 (define @t296 () (tptp.c_lessequals @t19 @t21 @t9)) % 1.54/1.75 (define @t297 () (not @t296)) % 1.54/1.75 (define @t298 () (tptp.c_Finite__Set_Ocard @t49 @t9)) % 1.54/1.75 (define @t299 () (tptp.hBOOL (tptp.c_in @t19 @t49 @t9))) % 1.54/1.75 (define @t300 () (@list @t19 @t9)) % 1.54/1.75 (define @t301 () (tptp.c_lessequals @t76 @t80 @t9)) % 1.54/1.75 (define @t302 () (tptp.c_Power_Opower__class_Opower @t55 @t1 @t9)) % 1.54/1.75 (define @t303 () (@list @t9 @t53 @t1 @t55)) % 1.54/1.75 (define @t304 () (@var "V_xa" $$unsorted)) % 1.54/1.75 (define @t305 () (tptp.c_Fun_Othe__inv__into @t32 @t10 @t9 @t8)) % 1.54/1.75 (define @t306 () (@list @t32 @t10 @t9 @t8 @t34)) % 1.54/1.75 (define @t307 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t9)) % 1.54/1.75 (define @t308 () (not (tptp.class_OrderedGroup_Oab__group__add @t9))) % 1.54/1.75 (define @t309 () (@var "V_y_H" $$unsorted)) % 1.54/1.75 (define @t310 () (@var "V_x_H" $$unsorted)) % 1.54/1.75 (define @t311 () (tptp.c_HOL_Ominus__class_Ominus @t310 @t309 @t9)) % 1.54/1.75 (define @t312 () (tptp.c_SetInterval_Oord__class_OlessThan @t21 @t9)) % 1.54/1.75 (define @t313 () (tptp.c_SetInterval_Oord__class_OlessThan @t19 @t9)) % 1.54/1.75 (define @t314 () (tptp.c_lessequals @t313 @t312 @t14)) % 1.54/1.75 (define @t315 () (tptp.hAPP @t79 @t21)) % 1.54/1.75 (define @t316 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t21 @t9)) % 1.54/1.75 (define @t317 () (tptp.c_Set_Oimage @t10 @t34 @t8 @t9)) % 1.54/1.75 (define @t318 () (@list @t10 @t32 @t8 @t9 @t34)) % 1.54/1.75 (define @t319 () (@var "V_xs" $$unsorted)) % 1.54/1.75 (define @t320 () (tptp.c_Fun_Ocomp @t10 @t42 @t8 @t9 @t143)) % 1.54/1.75 (define @t321 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t31 @t14)) % 1.54/1.75 (define @t322 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t36 @t14)) % 1.54/1.75 (define @t323 () (@list @t32 @t34 @t9 @t31)) % 1.54/1.75 (define @t324 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t23 @t9)) % 1.54/1.75 (define @t325 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t21 @t9)) % 1.54/1.75 (define @t326 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t325 @t20 @t9) @t324)) % 1.54/1.75 (define @t327 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t20 @t9)) % 1.54/1.75 (define @t328 () (= @t324 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t327 @t9))) % 1.54/1.75 (define @t329 () (not (tptp.class_Lattices_Olattice @t9))) % 1.54/1.75 (define @t330 () (tptp.hBOOL (tptp.c_in @t119 @t35 @t9))) % 1.54/1.75 (define @t331 () (not @t330)) % 1.54/1.75 (define @t332 () (tptp.hBOOL (tptp.c_in @t119 @t34 @t9))) % 1.54/1.75 (define @t333 () (@list @t119 @t34 @t9 @t32)) % 1.54/1.75 (define @t334 () (= @t27 @t19)) % 1.54/1.75 (define @t335 () (not (tptp.class_Lattices_Olower__semilattice @t9))) % 1.54/1.75 (define @t336 () (tptp.c_lessequals @t32 @t31 @t14)) % 1.54/1.75 (define @t337 () (not @t336)) % 1.54/1.75 (define @t338 () (tptp.c_lessequals @t34 @t31 @t14)) % 1.54/1.75 (define @t339 () (not @t338)) % 1.54/1.75 (define @t340 () (tptp.c_lessequals @t158 @t31 @t14)) % 1.54/1.75 (define @t341 () (tptp.c_lessequals @t53 @t19 @t9)) % 1.54/1.75 (define @t342 () (not @t341)) % 1.54/1.75 (define @t343 () (tptp.c_lessequals @t55 @t19 @t9)) % 1.54/1.75 (define @t344 () (not @t343)) % 1.54/1.75 (define @t345 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t53 @t55 @t9)) % 1.54/1.75 (define @t346 () (tptp.c_lessequals @t345 @t19 @t9)) % 1.54/1.75 (define @t347 () (@list @t9 @t53 @t55 @t19)) % 1.54/1.75 (define @t348 () (tptp.c_lessequals @t19 @t325 @t9)) % 1.54/1.75 (define @t349 () (tptp.c_lessequals @t21 @t325 @t9)) % 1.54/1.75 (define @t350 () (tptp.c_lessequals @t20 @t19 @t9)) % 1.54/1.75 (define @t351 () (tptp.c_lessequals @t19 @t20 @t9)) % 1.54/1.75 (define @t352 () (not @t351)) % 1.54/1.75 (define @t353 () (tptp.c_lessequals @t21 @t20 @t9)) % 1.54/1.75 (define @t354 () (not @t353)) % 1.54/1.75 (define @t355 () (tptp.c_lessequals @t325 @t20 @t9)) % 1.54/1.75 (define @t356 () (= @t27 @t22)) % 1.54/1.75 (define @t357 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t285 @t14)) % 1.54/1.75 (define @t358 () (tptp.c_Set_Oinsert @t53 @t203 @t9)) % 1.54/1.75 (define @t359 () (tptp.c_Orderings_Otop__class_Otop @t9)) % 1.54/1.75 (define @t360 () (= @t53 @t55)) % 1.54/1.75 (define @t361 () (tptp.c_Set_Oinsert @t55 @t49 @t9)) % 1.54/1.75 (define @t362 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t32 @t14)) % 1.54/1.75 (define @t363 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t31 @t14)) % 1.54/1.75 (define @t364 () (not @t299)) % 1.54/1.75 (define @t365 () (tptp.hBOOL (tptp.hAPP @t279 @t19))) % 1.54/1.75 (define @t366 () (not @t365)) % 1.54/1.75 (define @t367 () (@list @t279 @t19 @t9)) % 1.54/1.75 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t53 @t55 @t9)) % 1.54/1.75 (define @t369 () (not @t368)) % 1.54/1.75 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t97 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t371 () (not @t370)) % 1.54/1.75 (define @t372 () (tptp.c_HOL_Oord__class_Oless @t131 @t302 @t9)) % 1.54/1.75 (define @t373 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_nat tptp.tc_bool))) % 1.54/1.75 (define @t374 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t5 tptp.tc_nat)) % 1.54/1.75 (define @t375 () (@var "V_d" $$unsorted)) % 1.54/1.75 (define @t376 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t53 @t55 @t9)) % 1.54/1.75 (define @t377 () (not (tptp.c_lessequals @t376 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t119 @t375 @t9) @t14))) % 1.54/1.75 (define @t378 () (tptp.c_lessequals @t55 @t53 @t9)) % 1.54/1.75 (define @t379 () (tptp.hBOOL (tptp.c_in @t19 @t304 @t9))) % 1.54/1.75 (define @t380 () (tptp.c_Set_Oinsert @t19 @t304 @t9)) % 1.54/1.75 (define @t381 () (@list @t19 @t304 @t9)) % 1.54/1.75 (define @t382 () (@list @t119 @t32 @t34 @t9)) % 1.54/1.75 (define @t383 () (tptp.c_lessequals @t162 @t32 @t14)) % 1.54/1.75 (define @t384 () (not @t383)) % 1.54/1.75 (define @t385 () (@list @t34 @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t386 () (@list @t10 @t34 @t9 @t8 @t32)) % 1.54/1.75 (define @t387 () (@list @t32 @t10 @t9 @t8 @t19)) % 1.54/1.75 (define @t388 () (not (tptp.c_Fun_Oinj__on @t10 @t32 @t209 @t9))) % 1.54/1.75 (define @t389 () (not (tptp.hBOOL (tptp.c_in @t19 @t32 @t209)))) % 1.54/1.75 (define @t390 () (@list @t19 @t32 @t209 @t10 @t9)) % 1.54/1.75 (define @t391 () (not @t332)) % 1.54/1.75 (define @t392 () (not (tptp.class_Lattices_Obounded__lattice @t9))) % 1.54/1.75 (define @t393 () (@list @t9 @t34)) % 1.54/1.75 (define @t394 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t97 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t395 () (not (tptp.hBOOL (tptp.c_in @t19 @t394 tptp.tc_nat)))) % 1.54/1.75 (define @t396 () (tptp.c_List_Osko__List__Xex__nat__less__eq__1__2 @t279 @t1)) % 1.54/1.75 (define @t397 () (@list @t279 @t1 @t19)) % 1.54/1.75 (define @t398 () (@var "V_F" $$unsorted)) % 1.54/1.75 (define @t399 () (@var "V_h" $$unsorted)) % 1.54/1.75 (define @t400 () (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t399 @t398 @t9 @t8) @t9)) % 1.54/1.75 (define @t401 () (not @t400)) % 1.54/1.75 (define @t402 () (tptp.c_Finite__Set_Ofinite @t398 @t8)) % 1.54/1.75 (define @t403 () (@list @t398 @t8 @t399 @t9)) % 1.54/1.75 (define @t404 () (tptp.c_Finite__Set_Ofinite @t192 @t9)) % 1.54/1.75 (define @t405 () (= @t2 @t1)) % 1.54/1.75 (define @t406 () (tptp.c_Fun_Oinj__on @t10 @t15 @t9 @t8)) % 1.54/1.75 (define @t407 () (not @t406)) % 1.54/1.75 (define @t408 () (= (tptp.c_Fun_Ocomp @t16 @t10 @t8 @t9 @t9) @t243)) % 1.54/1.75 (define @t409 () (@list @t9 @t10 @t8)) % 1.54/1.75 (define @t410 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t34 @t61)) % 1.54/1.75 (define @t411 () (tptp.c_Finite__Set_Ofinite @t398 @t9)) % 1.54/1.75 (define @t412 () (not @t411)) % 1.54/1.75 (define @t413 () (@var "V_G" $$unsorted)) % 1.54/1.75 (define @t414 () (tptp.c_Finite__Set_Ofinite @t413 @t9)) % 1.54/1.75 (define @t415 () (not @t414)) % 1.54/1.75 (define @t416 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Oupper__semilattice__class_Osup @t398 @t413 @t14) @t9)) % 1.54/1.75 (define @t417 () (@list @t398 @t413 @t9)) % 1.54/1.75 (define @t418 () (tptp.c_lessequals @t31 @t32 @t14)) % 1.54/1.75 (define @t419 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t31 @t14) @t37)) % 1.54/1.75 (define @t420 () (not @t418)) % 1.54/1.75 (define @t421 () (@var "V_p" $$unsorted)) % 1.54/1.75 (define @t422 () (tptp.hAPP @t42 @t19)) % 1.54/1.75 (define @t423 () (tptp.hAPP @t10 @t422)) % 1.54/1.75 (define @t424 () (tptp.hAPP @t320 @t19)) % 1.54/1.75 (define @t425 () (@var "V_v" $$unsorted)) % 1.54/1.75 (define @t426 () (tptp.c_Fun_Ocomp @t53 @t55 @t143 @t8 @t9)) % 1.54/1.75 (define @t427 () (tptp.hAPP @t53 (tptp.hAPP @t55 @t425))) % 1.54/1.75 (define @t428 () (@list @t19 @t21)) % 1.54/1.75 (define @t429 () (@var "V_nat_H" $$unsorted)) % 1.54/1.75 (define @t430 () (@var "V_nat" $$unsorted)) % 1.54/1.75 (define @t431 () (tptp.c_Suc @t429)) % 1.54/1.75 (define @t432 () (@list @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t433 () (not (tptp.c_lessequals @t76 @t55 @t9))) % 1.54/1.75 (define @t434 () (@list @t9 @t53 @t55 @t1)) % 1.54/1.75 (define @t435 () (tptp.hBOOL (tptp.hAPP @t158 @t19))) % 1.54/1.75 (define @t436 () (tptp.hBOOL (tptp.hAPP @t34 @t19))) % 1.54/1.75 (define @t437 () (@list @t34 @t19 @t32 @t9)) % 1.54/1.75 (define @t438 () (not @t436)) % 1.54/1.75 (define @t439 () (not @t225)) % 1.54/1.75 (define @t440 () (tptp.hBOOL (tptp.c_in @t119 @t158 @t9))) % 1.54/1.75 (define @t441 () (@var "V_Y" $$unsorted)) % 1.54/1.75 (define @t442 () (@list @t9 @t441)) % 1.54/1.75 (define @t443 () (@list @t32 @t19 @t9)) % 1.54/1.75 (define @t444 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t20 @t9)) % 1.54/1.75 (define @t445 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t444 @t9)) % 1.54/1.75 (define @t446 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t27 @t20 @t9) @t445)) % 1.54/1.75 (define @t447 () (= @t445 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t21 @t26 @t9))) % 1.54/1.75 (define @t448 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t363 @t14)) % 1.54/1.75 (define @t449 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t93 @t91 @t9)) % 1.54/1.75 (define @t450 () (not @t416)) % 1.54/1.75 (define @t451 () (tptp.c_HOL_Oord__class_Oless @t169 @t80 @t9)) % 1.54/1.75 (define @t452 () (tptp.c_Finite__Set_Ofinite @t32 @t8)) % 1.54/1.75 (define @t453 () (tptp.c_Finite__Set_Osetsum @t10 @t32 @t8 @t9)) % 1.54/1.75 (define @t454 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t9))) % 1.54/1.75 (define @t455 () (@list @t9 @t10 @t32 @t8)) % 1.54/1.75 (define @t456 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t8))) % 1.54/1.75 (define @t457 () (tptp.c_HOL_Oord__class_Oless @t1 @t214 tptp.tc_nat)) % 1.54/1.75 (define @t458 () (not @t457)) % 1.54/1.75 (define @t459 () (= @t1 @t2)) % 1.54/1.75 (define @t460 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t143 tptp.tc_bool))) % 1.54/1.75 (define @t461 () (tptp.c_Finite__Set_Ocard @t34 @t9)) % 1.54/1.75 (define @t462 () (= @t32 @t34)) % 1.54/1.75 (define @t463 () (@list @t31 @t32 @t34 @t9)) % 1.54/1.75 (define @t464 () (tptp.c_HOL_Ominus__class_Ominus @t33 @t363 @t14)) % 1.54/1.75 (define @t465 () (@var "V_D" $$unsorted)) % 1.54/1.75 (define @t466 () (@list @t32 @t34 @t9 @t31 @t465)) % 1.54/1.75 (define @t467 () (@list @t19 @t34 @t9 @t32)) % 1.54/1.75 (define @t468 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t325 @t327 @t9)) % 1.54/1.75 (define @t469 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t444 @t9)) % 1.54/1.75 (define @t470 () (@list @t32 @t31 @t9 @t34)) % 1.54/1.75 (define @t471 () (not @t378)) % 1.54/1.75 (define @t472 () (= @t376 @t49)) % 1.54/1.75 (define @t473 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_nat)) % 1.54/1.75 (define @t474 () (tptp.hBOOL (tptp.c_in @t53 (tptp.c_Set_Oinsert @t55 @t32 @t9) @t9))) % 1.54/1.75 (define @t475 () (not (tptp.class_OrderedGroup_Ogroup__add @t9))) % 1.54/1.75 (define @t476 () (not (tptp.class_Ring__and__Field_Oordered__idom @t9))) % 1.54/1.75 (define @t477 () (tptp.c_lessequals @t1 @t2 tptp.tc_nat)) % 1.54/1.75 (define @t478 () (not @t477)) % 1.54/1.75 (define @t479 () (tptp.c_HOL_Oord__class_Oless @t214 @t1 tptp.tc_nat)) % 1.54/1.75 (define @t480 () (@list @t10 @t19 @t32 @t9 @t8)) % 1.54/1.75 (define @t481 () (not (tptp.hBOOL (tptp.c_in @t21 @t32 @t9)))) % 1.54/1.75 (define @t482 () (tptp.c_Set_Ovimage @t10 @t34 @t8 @t9)) % 1.54/1.75 (define @t483 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t156 @t14)) % 1.54/1.75 (define @t484 () (tptp.hBOOL (tptp.c_in @t53 @t31 @t9))) % 1.54/1.75 (define @t485 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t156 @t31 @t14)) % 1.54/1.75 (define @t486 () (not (= @t158 @t49))) % 1.54/1.75 (define @t487 () (= @t32 @t49)) % 1.54/1.75 (define @t488 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t34 @t9) @t123))) % 1.54/1.75 (define @t489 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t32 @t14)) % 1.54/1.75 (define @t490 () (tptp.c_Set_Oimage @t16 @t32 @t8 @t9)) % 1.54/1.75 (define @t491 () (tptp.hAPP @t32 tptp.v_x)) % 1.54/1.75 (define @t492 () (tptp.c_lessequals @t31 @t35 @t14)) % 1.54/1.75 (define @t493 () (not @t492)) % 1.54/1.75 (define @t494 () (tptp.c_lessequals @t31 @t34 @t14)) % 1.54/1.75 (define @t495 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t53 @t55 @t9)) % 1.54/1.75 (define @t496 () (tptp.c_lessequals @t19 @t495 @t9)) % 1.54/1.75 (define @t497 () (not @t496)) % 1.54/1.75 (define @t498 () (tptp.c_lessequals @t19 @t53 @t9)) % 1.54/1.75 (define @t499 () (@list @t9 @t19 @t53 @t55)) % 1.54/1.75 (define @t500 () (tptp.c_lessequals @t19 @t55 @t9)) % 1.54/1.75 (define @t501 () (tptp.c_lessequals @t495 @t19 @t9)) % 1.54/1.75 (define @t502 () (tptp.c_lessequals @t19 @t444 @t9)) % 1.54/1.75 (define @t503 () (not @t502)) % 1.54/1.75 (define @t504 () (tptp.c_HOL_Ominus__class_Ominus @t34 @t31 @t14)) % 1.54/1.75 (define @t505 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t31 @t14)) % 1.54/1.75 (define @t506 () (not (tptp.c_Fun_Obij @t399 @t9 @t8))) % 1.54/1.75 (define @t507 () (@list @t399 @t398 @t9 @t8)) % 1.54/1.75 (define @t508 () (tptp.c_Fun_Ocomp @t42 @t10 @t143 @t8 @t9)) % 1.54/1.75 (define @t509 () (tptp.hBOOL (tptp.c_in @t210 @t34 @t8))) % 1.54/1.75 (define @t510 () (tptp.hBOOL (tptp.c_in @t53 @t162 @t9))) % 1.54/1.75 (define @t511 () (@list @t10 @t53 @t34 @t8 @t9)) % 1.54/1.75 (define @t512 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t80 @t169 @t9)) % 1.54/1.75 (define @t513 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21 @t19 @t9)) % 1.54/1.75 (define @t514 () (= @t325 @t513)) % 1.54/1.75 (define @t515 () (@list @t9 @t2)) % 1.54/1.75 (define @t516 () (tptp.c_Finite__Set_Osetsum @t10 @t34 @t9 @t8)) % 1.54/1.75 (define @t517 () (= @t49 @t376)) % 1.54/1.75 (define @t518 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t325 @t9) @t325)) % 1.54/1.75 (define @t519 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t80 @t169 @t9)) % 1.54/1.75 (define @t520 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t9))) % 1.54/1.75 (define @t521 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t34 @t61)) % 1.54/1.75 (define @t522 () (tptp.c_Set_Oinsert @t53 @t361 @t9)) % 1.54/1.75 (define @t523 () (tptp.c_lessequals @t2 @t5 tptp.tc_nat)) % 1.54/1.75 (define @t524 () (not @t261)) % 1.54/1.75 (define @t525 () (tptp.c_Power_Opower__class_Opower @t55 @t5 @t9)) % 1.54/1.75 (define @t526 () (tptp.c_Power_Opower__class_Opower @t53 @t5 @t9)) % 1.54/1.75 (define @t527 () (tptp.c_Set_Oinsert @t195 @t49 @t9)) % 1.54/1.75 (define @t528 () (tptp.c_HOL_Oord__class_Oless @t97 @t276 tptp.tc_nat)) % 1.54/1.75 (define @t529 () (tptp.hBOOL (tptp.hAPP @t35 @t19))) % 1.54/1.75 (define @t530 () (not @t529)) % 1.54/1.75 (define @t531 () (@list @t9 @t10 @t8 @t32)) % 1.54/1.75 (define @t532 () (tptp.c_lessequals @t32 @t175 @t14)) % 1.54/1.75 (define @t533 () (tptp.c_lessequals @t32 @t36 @t14)) % 1.54/1.75 (define @t534 () (tptp.c_lessequals @t48 @t31 @t14)) % 1.54/1.75 (define @t535 () (tptp.hAPP @t79 @t80)) % 1.54/1.75 (define @t536 () (tptp.hAPP @t79 @t169)) % 1.54/1.75 (define @t537 () (@list @t9 @t55)) % 1.54/1.75 (define @t538 () (tptp.c_HOL_Oord__class_Oless @t19 @t21 tptp.tc_nat)) % 1.54/1.75 (define @t539 () (tptp.c_HOL_Ominus__class_Ominus @t53 @t55 @t9)) % 1.54/1.75 (define @t540 () (tptp.c_lessequals @t539 @t76 @t9)) % 1.54/1.75 (define @t541 () (tptp.c_HOL_Oord__class_Oless @t495 @t19 @t9)) % 1.54/1.75 (define @t542 () (= @t325 @t21)) % 1.54/1.75 (define @t543 () (= @t158 @t34)) % 1.54/1.75 (define @t544 () (tptp.c_HOL_Oord__class_Oless @t539 @t76 @t9)) % 1.54/1.75 (define @t545 () (tptp.c_HOL_Oord__class_Oless @t112 @t111 @t9)) % 1.54/1.75 (define @t546 () (= @t53 @t119)) % 1.54/1.75 (define @t547 () (= @t53 @t375)) % 1.54/1.75 (define @t548 () (not (= @t522 (tptp.c_Set_Oinsert @t119 (tptp.c_Set_Oinsert @t375 @t49 @t9) @t9)))) % 1.54/1.75 (define @t549 () (@list @t53 @t55 @t9 @t119 @t375)) % 1.54/1.75 (define @t550 () (= @t55 @t119)) % 1.54/1.75 (define @t551 () (= @t55 @t375)) % 1.54/1.75 (define @t552 () (tptp.c_SetInterval_Oord__class_OlessThan @t93 @t9)) % 1.54/1.75 (define @t553 () (@list @t9 @t93 @t91)) % 1.54/1.75 (define @t554 () (@var "V_j" $$unsorted)) % 1.54/1.75 (define @t555 () (@list @t197 @t195 @t554)) % 1.54/1.75 (define @t556 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 1.54/1.75 (define @t557 () (tptp.c_List_Osko__List__Xall__nat__less__eq__1__1 @t279 @t1)) % 1.54/1.75 (define @t558 () (tptp.c_Finite__Set_Ofinite @t118 @t9)) % 1.54/1.75 (define @t559 () (tptp.c_Finite__Set_Ofinite @t15 @t9)) % 1.54/1.75 (define @t560 () (not @t559)) % 1.54/1.75 (define @t561 () (tptp.c_lessequals @t80 @t76 @t9)) % 1.54/1.75 (define @t562 () (tptp.c_HOL_Oord__class_Oless @t76 @t111 @t9)) % 1.54/1.75 (define @t563 () (not (tptp.c_lessequals @t34 @t465 @t14))) % 1.54/1.75 (define @t564 () (tptp.c_lessequals @t27 @t19 @t9)) % 1.54/1.75 (define @t565 () (tptp.c_lessequals @t27 @t21 @t9)) % 1.54/1.75 (define @t566 () (not @t498)) % 1.54/1.75 (define @t567 () (not @t500)) % 1.54/1.75 (define @t568 () (tptp.c_Orderings_Otop__class_Otop @t61)) % 1.54/1.75 (define @t569 () (@var "T_d" $$unsorted)) % 1.54/1.75 (define @t570 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t27 @t9) @t27)) % 1.54/1.75 (define @t571 () (tptp.c_Finite__Set_Ofinite @t202 @t9)) % 1.54/1.75 (define @t572 () (tptp.c_HOL_Oord__class_Oless @t19 @t345 @t9)) % 1.54/1.75 (define @t573 () (tptp.c_HOL_Oord__class_Oless @t214 @t5 tptp.tc_nat)) % 1.54/1.75 (define @t574 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t398 @t413 @t14) @t9)) % 1.54/1.75 (define @t575 () (tptp.c_lessequals @t53 @t169 @t9)) % 1.54/1.75 (define @t576 () (tptp.c_lessequals @t55 @t80 @t9)) % 1.54/1.75 (define @t577 () (tptp.c_lessequals @t80 @t55 @t9)) % 1.54/1.75 (define @t578 () (tptp.c_lessequals @t169 @t53 @t9)) % 1.54/1.75 (define @t579 () (tptp.c_HOL_Oord__class_Oless @t53 @t169 @t9)) % 1.54/1.75 (define @t580 () (tptp.c_HOL_Oord__class_Oless @t55 @t80 @t9)) % 1.54/1.75 (define @t581 () (tptp.c_HOL_Oord__class_Oless @t80 @t55 @t9)) % 1.54/1.75 (define @t582 () (tptp.c_HOL_Oord__class_Oless @t169 @t53 @t9)) % 1.54/1.75 (define @t583 () (tptp.hAPP @t79 @t76)) % 1.54/1.75 (define @t584 () (= @t583 @t76)) % 1.54/1.75 (define @t585 () (not (= @t131 @t76))) % 1.54/1.75 (define @t586 () (not (tptp.class_Ring__and__Field_Omult__zero @t9))) % 1.54/1.75 (define @t587 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t9))) % 1.54/1.75 (define @t588 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t9))) % 1.54/1.75 (define @t589 () (= @t307 @t76)) % 1.54/1.75 (define @t590 () (not (tptp.class_Int_Onumber__ring @t9))) % 1.54/1.75 (define @t591 () (not (tptp.class_Ring__and__Field_Oidom @t9))) % 1.54/1.75 (define @t592 () (not (= @t539 @t76))) % 1.54/1.75 (define @t593 () (@list @t2)) % 1.54/1.75 (define @t594 () (@list @t429)) % 1.54/1.75 (define @t595 () (= @t276 @t97)) % 1.54/1.75 (define @t596 () (@list @t19 @t32 @t8 @t10 @t9)) % 1.54/1.75 (define @t597 () (tptp.c_Set_Oimage @t10 @t34 @t9 @t8)) % 1.54/1.75 (define @t598 () (tptp.c_lessequals @t62 @t597 @t61)) % 1.54/1.75 (define @t599 () (= @t32 @t284)) % 1.54/1.75 (define @t600 () (@var "V_r" $$unsorted)) % 1.54/1.75 (define @t601 () (or (= @t62 @t34) @t264)) % 1.54/1.75 (define @t602 () (forall @t267 @t601)) % 1.54/1.75 (define @t603 () (tptp.c_Set_Oinsert @t53 @t34 @t8)) % 1.54/1.75 (define @t604 () (tptp.c_FuncSet_Orestrict @t10 @t32 @t8 @t9)) % 1.54/1.75 (define @t605 () (tptp.c_Set_Oimage @t10 @t284 @t8 @t9)) % 1.54/1.75 (define @t606 () (@list @t10 @t8 @t9)) % 1.54/1.75 (define @t607 () (tptp.hBOOL (tptp.c_in @t58 @t56 @t9))) % 1.54/1.75 (define @t608 () (tptp.c_Set_Oimage @t10 @t568 @t8 @t9)) % 1.54/1.75 (define @t609 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t34 @t9) @t359))) % 1.54/1.75 (define @t610 () (tptp.c_Finite__Set_Ocard @t62 @t8)) % 1.54/1.75 (define @t611 () (not (tptp.c_Fun_Oinj__on @t10 @t31 @t9 @t8))) % 1.54/1.75 (define @t612 () (= @t286 (tptp.c_HOL_Ominus__class_Ominus @t62 @t597 @t61))) % 1.54/1.75 (define @t613 () (@list @t10 @t32 @t34 @t9 @t8 @t31)) % 1.54/1.75 (define @t614 () (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1 @t32 @t10 @t42 @t9 @t8)) % 1.54/1.75 (define @t615 () (tptp.hBOOL (tptp.c_in @t614 @t32 @t9))) % 1.54/1.75 (define @t616 () (tptp.c_Fun_Oinj__on @t10 @t32 @t9 @t9)) % 1.54/1.75 (define @t617 () (not @t616)) % 1.54/1.75 (define @t618 () (tptp.c_Fun_Oinj__on @t42 @t32 @t9 @t8)) % 1.54/1.75 (define @t619 () (not @t618)) % 1.54/1.75 (define @t620 () (tptp.c_Set_Oimage @t10 @t32 @t9 @t9)) % 1.54/1.75 (define @t621 () (tptp.c_Fun_Oinj__on @t42 @t620 @t9 @t8)) % 1.54/1.75 (define @t622 () (@list @t42 @t10 @t32 @t9 @t8)) % 1.54/1.75 (define @t623 () (not @t621)) % 1.54/1.75 (define @t624 () (@list @t42 @t32 @t9 @t8 @t10)) % 1.54/1.75 (define @t625 () (tptp.c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2 @t32 @t10 @t42 @t9 @t8)) % 1.54/1.75 (define @t626 () (tptp.hBOOL (tptp.c_in @t625 @t32 @t9))) % 1.54/1.75 (define @t627 () (@list @t10 @t32 @t9)) % 1.54/1.75 (define @t628 () (= (tptp.c_Set_Oimage @t10 @t35 @t9 @t8) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t597 @t61))) % 1.54/1.75 (define @t629 () (not @t355)) % 1.54/1.75 (define @t630 () (tptp.c_lessequals @t19 @t345 @t9)) % 1.54/1.75 (define @t631 () (not @t346)) % 1.54/1.75 (define @t632 () (not @t340)) % 1.54/1.75 (define @t633 () (not (tptp.c_lessequals @t20 @t21 @t9))) % 1.54/1.75 (define @t634 () (@var "V_t" $$unsorted)) % 1.54/1.75 (define @t635 () (not (tptp.c_lessequals @t279 @t278 @t14))) % 1.54/1.75 (define @t636 () (tptp.hBOOL (tptp.hAPP @t278 @t19))) % 1.54/1.75 (define @t637 () (@list @t278 @t19 @t279 @t9)) % 1.54/1.75 (define @t638 () (tptp.c_Finite__Set_Ocard @t304 @t9)) % 1.54/1.75 (define @t639 () (@var "T_e" $$unsorted)) % 1.54/1.75 (define @t640 () (@var "V_g_H" $$unsorted)) % 1.54/1.75 (define @t641 () (@var "V_f_H" $$unsorted)) % 1.54/1.75 (define @t642 () (tptp.hBOOL (tptp.hAPP @t163 @t19))) % 1.54/1.75 (define @t643 () (tptp.hBOOL (tptp.hAPP @t32 @t58))) % 1.54/1.75 (define @t644 () (tptp.c_lessequals @t309 @t310 @t9)) % 1.54/1.75 (define @t645 () (not (= @t316 @t311))) % 1.54/1.75 (define @t646 () (@list @t9 @t19 @t21 @t310 @t309)) % 1.54/1.75 (define @t647 () (tptp.c_HOL_Oord__class_Oless @t310 @t309 @t9)) % 1.54/1.75 (define @t648 () (tptp.c_HOL_Oord__class_Oless @t76 @t80 @t9)) % 1.54/1.75 (define @t649 () (tptp.c_HOL_Oord__class_Oless @t55 @t53 @t9)) % 1.54/1.75 (define @t650 () (tptp.c_HOL_Oord__class_Oless @t53 @t80 @t9)) % 1.54/1.75 (define @t651 () (tptp.c_lessequals @t5 @t214 tptp.tc_nat)) % 1.54/1.75 (define @t652 () (not @t649)) % 1.54/1.75 (define @t653 () (= (tptp.hAPP @t42 (tptp.hAPP @t10 @t614)) (tptp.hAPP @t42 (tptp.hAPP @t10 @t625)))) % 1.54/1.75 (define @t654 () (not @t653)) % 1.54/1.75 (define @t655 () (= (tptp.hAPP @t42 @t614) (tptp.hAPP @t42 @t625))) % 1.54/1.75 (define @t656 () (not @t655)) % 1.54/1.75 (define @t657 () (@list @t42 @t32 @t10 @t9 @t8)) % 1.54/1.75 (define @t658 () (not (tptp.c_lessequals @t62 @t34 @t61))) % 1.54/1.75 (define @t659 () (not @t65)) % 1.54/1.75 (define @t660 () (tptp.c_Finite__Set_Ocard @t34 @t8)) % 1.54/1.75 (define @t661 () (@list @t32 @t9 @t34 @t8 @t10)) % 1.54/1.75 (define @t662 () (tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 @t279 @t10 @t9 @t8)) % 1.54/1.75 (define @t663 () (tptp.c_List_Omap @t10 @t319 @t9 @t8)) % 1.54/1.75 (define @t664 () (tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1 @t10 @t42 @t9 @t8)) % 1.54/1.75 (define @t665 () (tptp.c_ATP__Linkup_Osko__Fun__XinjI__1__2 @t10 @t9 @t8)) % 1.54/1.75 (define @t666 () (tptp.c_ATP__Linkup_Osko__Fun__XinjI__1__1 @t10 @t9 @t8)) % 1.54/1.75 (define @t667 () (tptp.c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2 @t10 @t9 @t8)) % 1.54/1.75 (define @t668 () (tptp.c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1 @t10 @t9 @t8)) % 1.54/1.75 (define @t669 () (tptp.c_Fun_Osurj @t10 @t9 @t9)) % 1.54/1.75 (define @t670 () (tptp.c_Fun_Oinj__on @t10 @t15 @t9 @t9)) % 1.54/1.75 (define @t671 () (@list @t10 @t9)) % 1.54/1.75 (define @t672 () (= @t276 @t660)) % 1.54/1.75 (define @t673 () (tptp.c_Fun_Oinj__on @t265 @t32 @t9 @t8)) % 1.54/1.75 (define @t674 () (tptp.hAPP @t10 @t21)) % 1.54/1.75 (define @t675 () (not (= @t58 @t674))) % 1.54/1.75 (define @t676 () (@list @t10 @t19 @t21 @t32 @t9 @t8)) % 1.54/1.75 (define @t677 () (@var "V_M" $$unsorted)) % 1.54/1.75 (define @t678 () (not (tptp.c_Finite__Set_Ofinite @t677 @t9))) % 1.54/1.75 (define @t679 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t97 (tptp.c_Finite__Set_Ocard @t677 @t9) tptp.tc_nat)) % 1.54/1.75 (define @t680 () (@list @t677 @t9)) % 1.54/1.75 (define @t681 () (tptp.c_Finite__Set_Ocard @t15 @t9)) % 1.54/1.75 (define @t682 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t209 tptp.tc_bool))) % 1.54/1.75 (define @t683 () (not (tptp.c_Fun_Oinj__on @t10 @t682 @t209 @t9))) % 1.54/1.75 (define @t684 () (tptp.c_Set_Oimage @t10 @t682 @t209 @t9)) % 1.54/1.75 (define @t685 () (tptp.c_Set_Oimage @t10 @t15 @t9 @t8)) % 1.54/1.75 (define @t686 () (tptp.hBOOL (tptp.c_in @t58 @t684 @t9))) % 1.54/1.75 (define @t687 () (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 @t58 @t10 @t19 @t9 @t209)) % 1.54/1.75 (define @t688 () (@list @t10 @t209 @t9 @t19)) % 1.54/1.75 (define @t689 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_bool))) % 1.54/1.75 (define @t690 () (tptp.c_Finite__Set_Ofinite @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.54/1.75 (define @t691 () (= (tptp.c_Power_Opower__class_Opower @t76 @t1 @t9) @t76)) % 1.54/1.75 (define @t692 () (@list @t32 @t10 @t9 @t8)) % 1.54/1.75 (define @t693 () (not (= @t62 @t597))) % 1.54/1.75 (define @t694 () (@list @t9 @t10 @t8 @t19)) % 1.54/1.75 (define @t695 () (@var "V_ys" $$unsorted)) % 1.54/1.75 (define @t696 () (= @t319 @t695)) % 1.54/1.75 (define @t697 () (tptp.hBOOL (tptp.c_in @t210 @t62 @t8))) % 1.54/1.75 (define @t698 () (@var "V_X" $$unsorted)) % 1.54/1.75 (define @t699 () (= @t610 @t276)) % 1.54/1.75 (define @t700 () (not (tptp.c_Fun_Oinj__on @t399 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat))) % 1.54/1.75 (define @t701 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t97 (tptp.c_Finite__Set_Ocard @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_nat)) % 1.54/1.75 (define @t702 () (not (= (tptp.c_Set_Oimage @t399 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat) @t701))) % 1.54/1.75 (define @t703 () (or @t702 @t700 tptp.v_thesis____)) % 1.54/1.75 (define @t704 () (@list @t399)) % 1.54/1.75 (define @t705 () (forall @t704 @t703)) % 1.54/1.75 (define @t706 () (@var "T_1" $$unsorted)) % 1.54/1.75 (define @t707 () (@var "T_2" $$unsorted)) % 1.54/1.75 (define @t708 () (tptp.tc_fun @t707 @t706)) % 1.54/1.75 (define @t709 () (@list @t707 @t706)) % 1.54/1.75 (define @t710 () (not (tptp.class_Lattices_Olattice @t706))) % 1.54/1.75 (define @t711 () (or @t702 @t700)) % 1.54/1.75 (define @t712 () (forall @t704 @t711)) % 1.54/1.75 (define @t713 () (or tptp.v_thesis____ @t711)) % 1.54/1.75 (define @t714 () (tptp.c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.54/1.75 (define @t715 () (@list @t714 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat @t701)) % 1.54/1.75 (define @t716 () (not @t690)) % 1.54/1.75 (define @t717 () (tptp.c_Fun_Obij__betw @t714 @t689 @t701 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat)) % 1.54/1.75 (define @t718 () (or @t717 @t716)) % 1.54/1.75 (define @t719 () (@list false false)) % 1.54/1.75 (define @t720 () (not @t717)) % 1.54/1.75 (define @t721 () (tptp.c_Fun_Oinj__on @t714 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat)) % 1.54/1.75 (define @t722 () (or @t721 @t720)) % 1.54/1.75 (define @t723 () (tptp.c_Set_Oimage @t714 @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat)) % 1.54/1.75 (define @t724 () (= @t701 @t723)) % 1.54/1.75 (define @t725 () (or @t724 @t720)) % 1.54/1.75 (define @t726 () (not @t721)) % 1.54/1.75 (define @t727 () (not @t724)) % 1.54/1.75 (define @t728 () (or @t727 @t726)) % 1.54/1.75 (define @t729 () (not @t728)) % 1.54/1.75 (define @t730 () (not (= @t723 @t701))) % 1.54/1.75 (define @t731 () (or @t730 @t726)) % 1.54/1.75 (assume @p1 (forall @t7 (or @t6 @t4))) % 1.54/1.75 (assume @p2 (forall @t18 (or @t17 @t12))) % 1.54/1.75 (assume @p3 (forall @t18 (or (not @t17) @t11))) % 1.54/1.75 (assume @p4 (forall @t25 (or @t24 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t19 @t9) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t22 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t19 @t9) @t9))))) % 1.54/1.75 (assume @p5 (forall @t30 (or @t24 (= @t29 @t28)))) % 1.54/1.75 (assume @p6 (forall @t38 (= @t37 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t33 @t14)))) % 1.54/1.75 (assume @p7 (forall @t41 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t36 @t32 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t39 @t14)))) % 1.54/1.75 (assume @p8 (forall @t47 (or @t46 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t42 @t45) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t44 @t43 @t8))))) % 1.54/1.75 (assume @p9 (forall @t52 (or @t51 (= @t48 @t32)))) % 1.54/1.75 (assume @p10 (forall (@list @t55 @t53 @t9) (or (= @t55 @t53) (not (tptp.hBOOL (tptp.c_in @t55 @t54 @t9)))))) % 1.54/1.75 (assume @p11 (forall (@list @t10 @t19 @t34 @t9 @t32 @t8) (or (tptp.hBOOL (tptp.c_in @t58 @t34 @t9)) @t57 (not (tptp.c_lessequals @t56 @t34 @t14))))) % 1.54/1.75 (assume @p12 (forall (@list @t34 @t8 @t10 @t32 @t9) (or @t65 @t64 @t60))) % 1.54/1.75 (assume @p13 (forall (@list @t32 @t19 @t9 @t34) (or @t73 @t70 @t68))) % 1.54/1.75 (assume @p14 (forall @t75 (or @t67 @t70 @t74))) % 1.54/1.75 (assume @p15 (forall @t84 (or @t83 @t82 (= @t81 @t80) @t78))) % 1.54/1.75 (assume @p16 (forall @t89 (or (= @t88 @t48) @t86))) % 1.54/1.75 (assume @p17 (forall @t84 (or @t82 (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t53 @t80 @t9) @t76)) @t90))) % 1.54/1.75 (assume @p18 (forall @t96 (or @t95 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t94 @t92 @t14) @t49)))) % 1.54/1.75 (assume @p19 (forall @t100 (or @t99 (not (tptp.c_HOL_Oord__class_Oless @t1 @t98 tptp.tc_nat))))) % 1.54/1.75 (assume @p20 (forall @t104 (or @t103 @t102))) % 1.54/1.75 (assume @p21 (forall (@list @t32 @t55 @t34 @t9) (or (tptp.c_lessequals @t32 @t106 @t14) @t105))) % 1.54/1.75 (assume @p22 (forall @t84 (or @t110 @t109 @t108))) % 1.54/1.75 (assume @p23 (forall @t84 (or @t110 @t107 (not @t109)))) % 1.54/1.75 (assume @p24 (forall @t115 (or @t114 @t113 @t4))) % 1.54/1.75 (assume @p25 (forall @t115 (or @t114 @t3 (not @t113)))) % 1.54/1.75 (assume @p26 (forall @t116 (or (not (tptp.class_Orderings_Obot @t8)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t45) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t8))))) % 1.54/1.75 (assume @p27 (forall (@list @t119 @t32 @t9) (or @t122 (not @t120)))) % 1.54/1.75 (assume @p28 (forall (@list @t119 @t9 @t32) (or @t120 @t121))) % 1.54/1.75 (assume @p29 (forall @t126 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t124 @t9) @t123)))) % 1.54/1.75 (assume @p30 (forall @t126 (or @t125 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t19 @t9) @t123)))) % 1.54/1.75 (assume @p31 (forall @t127 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t118 @t14) @t49))) % 1.54/1.75 (assume @p32 (forall @t128 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t32 @t14) @t49))) % 1.54/1.75 (assume @p33 (forall @t132 (or @t114 (tptp.c_lessequals @t76 @t131 @t9) @t130))) % 1.54/1.75 (assume @p34 (forall @t84 (or @t134 @t133 @t130))) % 1.54/1.75 (assume @p35 (forall @t84 (or @t134 @t129 @t135))) % 1.54/1.75 (assume @p36 (forall @t84 (or @t134 @t138 @t137))) % 1.54/1.75 (assume @p37 (forall @t84 (or @t134 @t136 @t139))) % 1.54/1.75 (assume @p38 (forall @t84 (or @t82 @t133 @t130))) % 1.54/1.75 (assume @p39 (forall @t84 (or @t82 @t129 @t135))) % 1.54/1.75 (assume @p40 (forall @t84 (or @t82 @t138 @t137))) % 1.54/1.75 (assume @p41 (forall @t84 (or @t82 @t136 @t139))) % 1.54/1.75 (assume @p42 (forall @t52 (or @t140 @t60))) % 1.54/1.75 (assume @p43 (forall (@list @t10 @t32 @t9 @t8 @t42) (or @t142 (tptp.hBOOL (tptp.c_in @t141 @t32 @t9))))) % 1.54/1.75 (assume @p44 (forall @t149 (or (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t32 @t148 @t143 @t8) @t19) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Hilbert__Choice_Oinv__into @t32 @t42 @t143 @t9) (tptp.c_Hilbert__Choice_Oinv__into @t144 @t10 @t9 @t8) @t9 @t143 @t8) @t19)) @t147 @t146 @t145))) % 1.54/1.75 (assume @p45 (forall @t155 (or (= @t154 @t153) @t151))) % 1.54/1.75 (assume @p46 (forall @t157 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t156 @t31 @t14) (tptp.c_Set_Oinsert @t53 @t36 @t9)))) % 1.54/1.75 (assume @p47 (forall @t159 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t156 @t14) (tptp.c_Set_Oinsert @t53 @t158 @t9)))) % 1.54/1.75 (assume @p48 (forall @t161 (or (tptp.c_Fun_Obij @t160 @t9 @t143) (not (tptp.c_Fun_Obij @t42 @t8 @t143)) @t151))) % 1.54/1.75 (assume @p49 (forall @t165 (= (tptp.c_Set_Ovimage @t10 @t164 @t9 @t8) (tptp.c_HOL_Ominus__class_Ominus @t163 @t162 @t14)))) % 1.54/1.75 (assume @p50 (forall @t168 (or @t167 @t166 (= (tptp.c_Power_Opower__class_Opower @t76 @t5 @t9) @t76)))) % 1.54/1.75 (assume @p51 (forall @t172 (or @t110 @t171 (not @t170)))) % 1.54/1.75 (assume @p52 (forall @t174 (or @t110 @t170 @t173))) % 1.54/1.75 (assume @p53 (forall (@list @t9 @t34 @t32) (or (tptp.c_lessequals @t175 @t118 @t14) @t105))) % 1.54/1.75 (assume @p54 (forall @t178 (or @t177 (not @t176)))) % 1.54/1.75 (assume @p55 (forall @t180 (or @t176 @t179))) % 1.54/1.75 (assume @p56 (forall (@list @t182 @t19 @t21 @t32 @t8 @t183 @t9) (or (not (= (tptp.hAPP @t182 @t19) @t186)) @t185 @t57 @t184 @t181))) % 1.54/1.75 (assume @p57 (forall (@list @t183 @t19 @t21 @t182 @t32 @t9 @t8) (or (not (= @t187 (tptp.hAPP @t183 @t21))) @t184 @t181))) % 1.54/1.75 (assume @p58 (forall (@list @t183 @t182 @t21 @t32 @t8 @t9) (or (= (tptp.hAPP @t183 @t186) @t21) @t185 @t184))) % 1.54/1.75 (assume @p59 (forall @t190 (tptp.c_lessequals @t189 @t32 @t14))) % 1.54/1.75 (assume @p60 (forall @t128 (tptp.c_lessequals @t49 @t32 @t14))) % 1.54/1.75 (assume @p61 (forall @t126 (or (not (tptp.class_Orderings_Obot @t9)) (tptp.c_lessequals @t123 @t19 @t9)))) % 1.54/1.75 (assume @p62 (forall @t194 (or @t193 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t192 @t9) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t53 @t191 @t9))))) % 1.54/1.75 (assume @p63 (forall @t201 (or @t200 @t199 (not @t198)))) % 1.54/1.75 (assume @p64 (forall @t201 (or @t200 @t198 (not @t199)))) % 1.54/1.75 (assume @p65 (forall @t180 (= (tptp.hAPP @t117 @t48) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t34 @t14)))) % 1.54/1.75 (assume @p66 (forall @t159 (= @t202 (tptp.c_HOL_Ominus__class_Ominus @t48 @t54 @t14)))) % 1.54/1.75 (assume @p67 (forall @t159 (= @t202 (tptp.c_HOL_Ominus__class_Ominus @t203 @t34 @t14)))) % 1.54/1.75 (assume @p68 (forall @t206 (or @t59 @t205 @t204))) % 1.54/1.75 (assume @p69 (forall @t52 (or @t140 @t60 @t204))) % 1.54/1.75 (assume @p70 (forall @t207 (or (tptp.c_lessequals @t153 @t154 @t61) @t12))) % 1.54/1.75 (assume @p71 (forall @t208 (not (= @t192 @t49)))) % 1.54/1.75 (assume @p72 (forall (@list @t53 @t10 @t9 @t209) (tptp.hBOOL (tptp.c_in @t53 (tptp.c_Set_Ovimage @t10 (tptp.c_Set_Oinsert @t210 @t49 @t9) @t209 @t9) @t209)))) % 1.54/1.75 (assume @p73 (forall (@list @t53 @t32 @t9 @t34) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t192 @t156 @t14) @t211))) % 1.54/1.75 (assume @p74 (forall @t161 (or (tptp.c_Fun_Osurj @t160 @t9 @t143) (not (tptp.c_Fun_Osurj @t42 @t8 @t143)) @t12))) % 1.54/1.75 (assume @p75 (forall @t7 (or @t215 @t213))) % 1.54/1.75 (assume @p76 (forall @t7 (or @t212 @t216))) % 1.54/1.75 (assume @p77 (forall @t220 (or @t219 @t218))) % 1.54/1.75 (assume @p78 (forall @t220 (or @t217 @t221))) % 1.54/1.75 (assume @p79 (forall @t222 (= (tptp.c_Set_Oinsert @t19 @t87 @t9) @t87))) % 1.54/1.75 (assume @p80 (forall (@list @t32 @t19 @t21 @t9) (or @t225 (= @t21 @t19) (not @t224)))) % 1.54/1.75 (assume @p81 (forall @t227 (tptp.c_lessequals @t49 @t226 @t14))) % 1.54/1.75 (assume @p82 (forall @t230 (or @t121 @t229))) % 1.54/1.75 (assume @p83 (forall @t237 (or @t236 @t235 @t232 @t60))) % 1.54/1.75 (assume @p84 (forall @t237 (or (not (tptp.class_Ring__and__Field_Oring @t8)) @t235 @t232 @t60))) % 1.54/1.75 (assume @p85 (forall @t7 (or @t3 @t238))) % 1.54/1.75 (assume @p86 (forall @t242 (or (not @t241) @t240))) % 1.54/1.75 (assume @p87 (forall @t18 (= (tptp.c_Fun_Ocomp @t10 @t243 @t9 @t8 @t9) @t10))) % 1.54/1.75 (assume @p88 (forall (@list @t8 @t42 @t9) (= (tptp.c_Fun_Ocomp @t13 @t42 @t8 @t8 @t9) @t42))) % 1.54/1.75 (assume @p89 (forall @t127 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t32 @t14) @t32))) % 1.54/1.75 (assume @p90 (forall @t126 (or @t244 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t19 @t9) @t19)))) % 1.54/1.75 (assume @p91 (forall @t250 (or @t249 @t248 @t247 @t246))) % 1.54/1.75 (assume @p92 (forall @t255 (or @t95 @t254 @t253 @t252))) % 1.54/1.75 (assume @p93 (forall @t222 (or (= @t258 @t257) @t60))) % 1.54/1.75 (assume @p94 (forall @t227 (= (tptp.c_Hilbert__Choice_Oinv__into @t15 @t243 @t9 @t9) @t243))) % 1.54/1.75 (assume @p95 (forall @t262 (or @t261 @t260 @t259))) % 1.54/1.75 (assume @p96 (forall @t267 (or @t266 @t264))) % 1.54/1.75 (assume @p97 (forall @t268 (or @t263 (not @t266)))) % 1.54/1.75 (assume @p98 (forall @t222 (tptp.hBOOL (tptp.c_in @t19 @t87 @t9)))) % 1.54/1.75 (assume @p99 (forall (@list @t53 @t34 @t9) (tptp.hBOOL (tptp.c_in @t53 @t156 @t9)))) % 1.54/1.75 (assume @p100 (forall (@list @t19 @t34 @t9) (tptp.hBOOL (tptp.c_in @t19 @t66 @t9)))) % 1.54/1.75 (assume @p101 (forall (@list @t32 @t10 @t9 @t8 @t19 @t21) (or (not (= (tptp.hAPP @t271 @t19) (tptp.hAPP @t271 @t21))) @t181 @t270 @t269))) % 1.54/1.75 (assume @p102 (forall (@list @t32 @t10 @t8 @t9 @t19) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t272 @t19) @t32 @t8)) (not (tptp.hBOOL (tptp.c_in @t19 @t56 @t9)))))) % 1.54/1.75 (assume @p103 (forall (@list @t19 @t21 @t32 @t9) (= (tptp.c_Set_Oinsert @t19 @t223 @t9) (tptp.c_Set_Oinsert @t21 @t87 @t9)))) % 1.54/1.75 (assume @p104 (forall (@list @t19 @t273 @t9) (or @t275 (not @t274)))) % 1.54/1.75 (assume @p105 (forall (@list @t273 @t19 @t9) (or @t274 (not @t275)))) % 1.54/1.75 (assume @p106 (forall @t222 (or (= @t258 (tptp.c_Suc @t276)) @t69 @t60))) % 1.54/1.75 (assume @p107 (forall (@list @t279 @t278 @t8 @t9 @t143 @t277) (= (tptp.hAPP (tptp.c_COMBB @t279 @t278 @t8 @t9 @t143) @t277) (tptp.hAPP @t279 (tptp.hAPP @t278 @t277))))) % 1.54/1.75 (assume @p108 (forall (@list @t9 @t279) (= (tptp.hAPP @t280 @t279) @t279))) % 1.54/1.75 (assume @p109 (forall @t268 (or (not @t287) @t283 @t259 @t281))) % 1.54/1.75 (assume @p110 (forall @t268 (or @t287 @t288))) % 1.54/1.75 (assume @p111 (forall @t52 (= (tptp.c_HOL_Ominus__class_Ominus @t48 @t34 @t14) @t48))) % 1.54/1.75 (assume @p112 (forall @t290 (or @t83 @t245 @t289))) % 1.54/1.75 (assume @p113 (forall @t126 (or @t83 (not @t293) @t292))) % 1.54/1.75 (assume @p114 (forall @t126 (or @t83 @t291 @t293))) % 1.54/1.75 (assume @p115 (forall @t290 (or @t83 @t246 @t294))) % 1.54/1.75 (assume @p116 (forall @t295 (or @t83 @t289 @t245))) % 1.54/1.75 (assume @p117 (forall @t290 (or @t83 @t297 @t252))) % 1.54/1.75 (assume @p118 (forall @t295 (or @t83 @t251 @t296))) % 1.54/1.75 (assume @p119 (forall @t295 (or @t249 @t294 @t246))) % 1.54/1.75 (assume @p120 (forall @t300 (or @t299 (= (tptp.c_Finite__Set_Ocard @t71 @t9) (tptp.c_Suc @t298))))) % 1.54/1.75 (assume @p121 (forall @t84 (or @t110 @t136 (not @t301)))) % 1.54/1.75 (assume @p122 (forall @t84 (or @t110 @t301 @t137))) % 1.54/1.75 (assume @p123 (forall @t303 (or @t114 (tptp.c_lessequals @t131 @t302 @t9) @t130 @t173))) % 1.54/1.75 (assume @p124 (forall (@list @t304 @t19 @t9) (= (tptp.c_Set_Oinsert @t304 @t71 @t9) (tptp.c_Set_Oinsert @t19 (tptp.c_Set_Oinsert @t304 @t49 @t9) @t9)))) % 1.54/1.75 (assume @p125 (forall @t306 (or (tptp.c_Fun_Obij__betw @t305 @t34 @t32 @t8 @t9) @t264))) % 1.54/1.75 (assume @p126 (forall (@list @t9 @t304 @t21 @t19) (or @t308 (not (= (tptp.c_HOL_Ominus__class_Ominus @t304 @t21 @t9) @t307)) (= @t304 @t21)))) % 1.54/1.75 (assume @p127 (forall (@list @t9 @t19 @t310 @t309) (or @t308 (not (= @t307 @t311)) (= @t310 @t309)))) % 1.54/1.75 (assume @p128 (forall @t290 (or @t83 @t314 @t297))) % 1.54/1.75 (assume @p129 (forall @t290 (or @t83 @t296 (not @t314)))) % 1.54/1.75 (assume @p130 (forall @t52 (= @t48 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t175 @t14)))) % 1.54/1.75 (assume @p131 (forall @t290 (or @t125 (= @t316 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t315 @t9))))) % 1.54/1.75 (assume @p132 (forall @t318 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t56 @t317 @t14) (tptp.c_Set_Oimage @t10 @t164 @t8 @t9) @t14))) % 1.54/1.75 (assume @p133 (forall (@list @t10 @t42 @t319 @t143 @t8 @t9) (= (tptp.c_List_Omap @t10 (tptp.c_List_Omap @t42 @t319 @t143 @t8) @t8 @t9) (tptp.c_List_Omap @t320 @t319 @t143 @t9)))) % 1.54/1.75 (assume @p134 (forall @t38 (= @t322 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t34 @t321 @t14)))) % 1.54/1.75 (assume @p135 (forall @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t158 @t31 @t14) @t322))) % 1.54/1.75 (assume @p136 (forall @t30 (or @t244 @t326))) % 1.54/1.75 (assume @p137 (forall @t30 (or @t244 @t328))) % 1.54/1.75 (assume @p138 (forall @t30 (or @t329 @t328))) % 1.54/1.75 (assume @p139 (forall @t30 (or @t329 @t326))) % 1.54/1.75 (assume @p140 (forall @t333 (or @t332 @t331))) % 1.54/1.75 (assume @p141 (forall @t230 (or @t121 @t331))) % 1.54/1.75 (assume @p142 (forall @t52 (or (= @t35 @t32) @t105))) % 1.54/1.75 (assume @p143 (forall @t52 (or (= @t35 @t34) @t179))) % 1.54/1.75 (assume @p144 (forall @t290 (or @t335 @t334 @t297))) % 1.54/1.75 (assume @p145 (forall @t290 (or @t335 (not @t334) @t296))) % 1.54/1.75 (assume @p146 (forall @t290 (or @t335 (= @t27 @t21) @t294))) % 1.54/1.75 (assume @p147 (forall @t100 (tptp.c_HOL_Oord__class_Oless @t97 @t5 tptp.tc_nat))) % 1.54/1.75 (assume @p148 (forall @t242 (tptp.c_HOL_Oord__class_Oless @t97 @t239 tptp.tc_nat))) % 1.54/1.75 (assume @p149 (forall @t323 (or @t340 @t339 @t337))) % 1.54/1.75 (assume @p150 (forall @t178 (tptp.c_lessequals @t34 @t158 @t14))) % 1.54/1.75 (assume @p151 (forall @t52 (tptp.c_lessequals @t32 @t158 @t14))) % 1.54/1.75 (assume @p152 (forall @t347 (or @t244 @t346 @t344 @t342))) % 1.54/1.75 (assume @p153 (forall @t290 (or @t244 @t348))) % 1.54/1.75 (assume @p154 (forall @t295 (or @t244 @t349))) % 1.54/1.75 (assume @p155 (forall @t25 (or @t244 (tptp.c_lessequals @t23 @t19 @t9) (not @t350) @t294))) % 1.54/1.75 (assume @p156 (forall @t30 (or @t244 @t355 @t354 @t352))) % 1.54/1.75 (assume @p157 (forall @t295 (or @t329 @t349))) % 1.54/1.75 (assume @p158 (forall @t290 (or @t329 @t348))) % 1.54/1.75 (assume @p159 (forall @t52 (= @t35 @t40))) % 1.54/1.75 (assume @p160 (forall @t290 (or @t335 @t356))) % 1.54/1.75 (assume @p161 (forall @t290 (or @t329 @t356))) % 1.54/1.75 (assume @p162 (forall @t52 (or (= @t357 @t34) @t105))) % 1.54/1.75 (assume @p163 (forall @t290 (or @t83 (not (= @t313 @t312)) @t181))) % 1.54/1.75 (assume @p164 (forall @t30 (or @t329 (tptp.c_lessequals @t28 @t29 @t9)))) % 1.54/1.75 (assume @p165 (forall @t52 (tptp.c_lessequals @t48 @t32 @t14))) % 1.54/1.75 (assume @p166 (forall @t208 (= @t358 @t192))) % 1.54/1.75 (assume @p167 (forall @t290 (or @t125 (not (= @t325 @t359)) (not (= @t27 @t123)) (= @t124 @t21)))) % 1.54/1.75 (assume @p168 (forall (@list @t53 @t9 @t55) (or (not (= @t54 @t361)) @t360))) % 1.54/1.75 (assume @p169 (forall @t323 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t35 @t363 @t14) @t39 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t36 @t14) @t362 @t14)))) % 1.54/1.75 (assume @p170 (forall @t367 (or @t366 @t364))) % 1.54/1.75 (assume @p171 (forall @t303 (or @t114 @t372 @t371 @t130 @t369))) % 1.54/1.75 (assume @p172 (forall @t7 (or (= @t374 @t373) @t3))) % 1.54/1.75 (assume @p173 (forall @t227 (tptp.c_Fun_Obij @t243 @t9 @t9))) % 1.54/1.75 (assume @p174 (forall @t128 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t32 @t14) @t15))) % 1.54/1.75 (assume @p175 (forall @t127 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t118 @t14) @t15))) % 1.54/1.75 (assume @p176 (forall @t126 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t19 @t9) @t359)))) % 1.54/1.75 (assume @p177 (forall @t126 (or @t125 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t124 @t9) @t359)))) % 1.54/1.75 (assume @p178 (forall (@list @t9 @t119 @t53 @t55 @t375) (or @t83 (tptp.c_lessequals @t119 @t53 @t9) @t378 @t377))) % 1.54/1.75 (assume @p179 (forall (@list @t9 @t55 @t375 @t53 @t119) (or @t83 (tptp.c_lessequals @t55 @t375 @t9) @t378 @t377))) % 1.54/1.75 (assume @p180 (forall @t381 (or (not (= @t380 @t49)) @t379))) % 1.54/1.75 (assume @p181 (forall @t382 (or @t228 @t332 @t122))) % 1.54/1.75 (assume @p182 (forall (@list @t10 @t8 @t32 @t9) (= (tptp.c_Set_Ovimage @t10 (tptp.hAPP @t152 @t32) @t9 @t8) (tptp.hAPP @t117 @t163)))) % 1.54/1.75 (assume @p183 (forall @t385 (or @t63 @t384 @t151))) % 1.54/1.75 (assume @p184 (forall @t386 (or @t383 @t64 @t151))) % 1.54/1.75 (assume @p185 (forall @t387 (or (= (tptp.hAPP @t271 @t58) @t19) @t70 @t259))) % 1.54/1.75 (assume @p186 (forall @t390 (or @t389 @t388 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t32 @t10 @t209 @t9) @t58) @t19)))) % 1.54/1.75 (assume @p187 (forall @t333 (or @t391 @t229))) % 1.54/1.75 (assume @p188 (forall @t126 (or @t392 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t123 @t9) @t123)))) % 1.54/1.75 (assume @p189 (forall @t126 (or @t392 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t19 @t9) @t123)))) % 1.54/1.75 (assume @p190 (forall @t393 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t34 @t14) @t49))) % 1.54/1.75 (assume @p191 (forall @t127 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t49 @t14) @t49))) % 1.54/1.75 (assume @p192 (forall (@list @t34 @t53 @t9) (tptp.c_lessequals @t34 @t156 @t14))) % 1.54/1.75 (assume @p193 (forall @t397 (or (tptp.c_HOL_Oord__class_Oless @t396 @t1 tptp.tc_nat) @t366 @t395))) % 1.54/1.75 (assume @p194 (forall @t403 (or @t402 (not (tptp.c_Fun_Osurj @t399 @t9 @t8)) @t401))) % 1.54/1.75 (assume @p195 (forall (@list @t32 @t9 @t53) (or @t59 (not @t404)))) % 1.54/1.75 (assume @p196 (forall @t208 (or @t404 @t60))) % 1.54/1.75 (assume @p197 (forall @t227 (tptp.c_Finite__Set_Ofinite @t49 @t9))) % 1.54/1.75 (assume @p198 (forall @t115 (or (not (tptp.class_Nat_Osemiring__char__0 @t9)) (not (= @t112 @t111)) @t405))) % 1.54/1.75 (assume @p199 (forall @t409 (or @t408 @t407))) % 1.54/1.75 (assume @p200 (forall @t409 (or (not @t408) @t406))) % 1.54/1.75 (assume @p201 (forall @t227 (or @t193 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t49 @t9) @t123)))) % 1.54/1.75 (assume @p202 (forall @t165 (tptp.c_lessequals (tptp.c_Set_Oimage @t10 @t410 @t8 @t9) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t56 @t317 @t14) @t14))) % 1.54/1.75 (assume @p203 (forall @t417 (or @t416 @t415 @t412))) % 1.54/1.75 (assume @p204 (forall @t323 (or (not @t419) @t418))) % 1.54/1.75 (assume @p205 (forall @t323 (or @t419 @t420))) % 1.54/1.75 (assume @p206 (forall (@list @t9 @t10 @t2 @t421 @t1) (or @t308 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Finite__Set_Osetsum @t10 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t421 tptp.tc_nat) tptp.tc_nat @t9) (tptp.c_Finite__Set_Osetsum @t10 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t1 tptp.tc_nat) tptp.tc_nat @t9) @t9) (tptp.c_Finite__Set_Osetsum @t10 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t1 @t421 tptp.tc_nat) tptp.tc_nat @t9)) (not (tptp.c_lessequals @t1 @t421 tptp.tc_nat)) @t4))) % 1.54/1.75 (assume @p207 (forall @t127 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t49 @t14) @t32))) % 1.54/1.75 (assume @p208 (forall @t127 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t32 @t14) @t49))) % 1.54/1.75 (assume @p209 (forall (@list @t10 @t42 @t8 @t9 @t143 @t19) (= @t424 @t423))) % 1.54/1.75 (assume @p210 (forall (@list @t53 @t55 @t425 @t143 @t8 @t9) (= @t427 (tptp.hAPP @t426 @t425)))) % 1.54/1.75 (assume @p211 (forall @t128 (= @t118 (tptp.c_HOL_Ominus__class_Ominus @t15 @t32 @t14)))) % 1.54/1.75 (assume @p212 (forall (@list @t32 @t9 @t19) (or (tptp.c_lessequals @t276 @t258 tptp.tc_nat) @t60))) % 1.54/1.75 (assume @p213 (forall @t428 (or (not (= @t239 (tptp.c_Suc @t21))) @t181))) % 1.54/1.75 (assume @p214 (forall (@list @t430 @t429) (or (not (= (tptp.c_Suc @t430) @t431)) (= @t430 @t429)))) % 1.54/1.75 (assume @p215 (forall @t432 (or (= (tptp.c_Set_Oimage @t10 @t163 @t9 @t8) @t32) @t12))) % 1.54/1.75 (assume @p216 (tptp.c_HOL_Oord__class_Oless @t97 @t98 tptp.tc_nat)) % 1.54/1.75 (assume @p217 (forall @t434 (or @t114 @t368 @t433 (not @t372)))) % 1.54/1.75 (assume @p218 (forall @t237 (or @t236 (= @t234 @t233) @t231 @t60))) % 1.54/1.75 (assume @p219 (forall @t132 (or @t114 (tptp.c_HOL_Oord__class_Oless @t76 @t131 @t9) @t108))) % 1.54/1.75 (assume @p220 (forall @t437 (or @t436 @t225 (not @t435)))) % 1.54/1.75 (assume @p221 (forall @t104 (or @t435 @t438))) % 1.54/1.75 (assume @p222 (forall @t104 (or @t435 @t439))) % 1.54/1.75 (assume @p223 (forall @t333 (or @t332 @t121 (not @t440)))) % 1.54/1.75 (assume @p224 (forall @t442 (= (tptp.c_Set_Ovimage @t280 @t441 @t9 @t9) @t441))) % 1.54/1.75 (assume @p225 (forall @t443 (or (= @t256 @t276) @t69 @t60))) % 1.54/1.75 (assume @p226 (forall @t30 (or @t329 @t446))) % 1.54/1.75 (assume @p227 (forall @t30 (or @t329 @t447))) % 1.54/1.75 (assume @p228 (forall @t30 (or @t335 @t447))) % 1.54/1.75 (assume @p229 (forall @t30 (or @t335 @t446))) % 1.54/1.75 (assume @p230 (forall @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t31 @t14) @t448))) % 1.54/1.75 (assume @p231 (forall @t38 (= @t448 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t33 @t14)))) % 1.54/1.75 (assume @p232 (forall @t96 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t94 @t92 @t14) @t449) (not (tptp.c_lessequals @t2 @t91 @t9)) (not (tptp.c_lessequals @t93 @t2 @t9))))) % 1.54/1.75 (assume @p233 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 1.54/1.75 (assume @p234 (forall (@list @t398 @t9 @t413) (or @t411 @t450))) % 1.54/1.75 (assume @p235 (forall (@list @t413 @t9 @t398) (or @t414 @t450))) % 1.54/1.75 (assume @p236 (forall @t126 (or @t392 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t123 @t9) @t19)))) % 1.54/1.75 (assume @p237 (forall @t126 (or @t392 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t123 @t19 @t9) @t19)))) % 1.54/1.75 (assume @p238 (forall @t393 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t34 @t14) @t34))) % 1.54/1.75 (assume @p239 (forall @t127 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t49 @t14) @t32))) % 1.54/1.75 (assume @p240 (forall @t128 (= (tptp.c_HOL_Ominus__class_Ominus @t49 @t32 @t14) @t49))) % 1.54/1.75 (assume @p241 (forall @t174 (or @t110 @t451 @t369))) % 1.54/1.75 (assume @p242 (forall @t172 (or @t110 @t368 (not @t451)))) % 1.54/1.75 (assume @p243 (forall @t455 (or @t454 (= @t453 @t76) @t452))) % 1.54/1.75 (assume @p244 (forall @t207 (or @t456 (= @t233 (tptp.c_HOL_Ozero__class_Ozero @t8)) @t59))) % 1.54/1.75 (assume @p245 (forall @t7 (or @t405 @t212 @t238))) % 1.54/1.75 (assume @p246 (forall @t7 (or @t405 @t458 @t217))) % 1.54/1.75 (assume @p247 (forall @t220 (or @t459 @t458 @t217))) % 1.54/1.75 (assume @p248 (forall (@list @t143 @t10 @t42 @t9 @t8) (or (= (tptp.c_Hilbert__Choice_Oinv__into @t460 @t148 @t143 @t8) (tptp.c_Fun_Ocomp (tptp.c_Hilbert__Choice_Oinv__into @t460 @t42 @t143 @t9) @t16 @t9 @t143 @t8)) (not (tptp.c_Fun_Obij @t42 @t143 @t9)) @t151))) % 1.54/1.75 (assume @p249 (forall @t84 (or @t82 (not (= @t81 @t76)) @t90))) % 1.54/1.75 (assume @p250 (= (tptp.c_SetInterval_Oord__class_OlessThan @t97 tptp.tc_nat) @t373)) % 1.54/1.75 (assume @p251 (forall @t52 (or @t462 (not (tptp.c_lessequals @t461 @t276 tptp.tc_nat)) @t105 @t204))) % 1.54/1.75 (assume @p252 (forall @t227 (or @t125 (= (tptp.hAPP @t79 @t359) @t123)))) % 1.54/1.75 (assume @p253 (forall @t227 (= (tptp.hAPP @t117 @t15) @t49))) % 1.54/1.75 (assume @p254 (forall @t126 (not (tptp.hBOOL (tptp.hAPP @t49 @t19))))) % 1.54/1.75 (assume @p255 (forall @t463 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t48 @t14) (tptp.c_HOL_Ominus__class_Ominus @t39 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t34 @t14) @t14)))) % 1.54/1.75 (assume @p256 (forall @t323 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t31 @t14) @t464))) % 1.54/1.75 (assume @p257 (forall @t18 (or @t11 @t151))) % 1.54/1.75 (assume @p258 (forall @t409 (or @t454 (= (tptp.c_Finite__Set_Osetsum @t10 @t284 @t8 @t9) @t76)))) % 1.54/1.75 (assume @p259 (forall @t466 (or (tptp.c_lessequals @t48 (tptp.c_HOL_Ominus__class_Ominus @t31 @t465 @t14) @t14) (not (tptp.c_lessequals @t465 @t34 @t14)) @t337))) % 1.54/1.75 (assume @p260 (forall @t467 (or @t86 @t70 @t51))) % 1.54/1.75 (assume @p261 (forall @t30 (or @t329 (tptp.c_lessequals @t469 @t468 @t9)))) % 1.54/1.75 (assume @p262 (forall @t470 (= @t464 (tptp.c_HOL_Ominus__class_Ominus @t33 @t34 @t14)))) % 1.54/1.75 (assume @p263 (forall @t172 (or @t95 @t472 @t471))) % 1.54/1.75 (assume @p264 (forall @t290 (or @t249 @t245 @t289 @t297))) % 1.54/1.75 (assume @p265 (forall @t242 (not @t473))) % 1.54/1.75 (assume @p266 (forall @t100 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)))) % 1.54/1.75 (assume @p267 (forall @t126 (or @t95 @t292))) % 1.54/1.75 (assume @p268 (forall @t126 (or @t83 @t292))) % 1.54/1.75 (assume @p269 (forall @t126 (or @t249 @t292))) % 1.54/1.75 (assume @p270 (forall @t290 (or @t329 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t27 @t9) @t19)))) % 1.54/1.75 (assume @p271 (forall (@list @t53 @t32 @t9 @t55) (or @t231 @t360 (not @t474)))) % 1.54/1.75 (assume @p272 (forall @t290 (or @t125 (not (= @t124 @t315)) @t181))) % 1.54/1.75 (assume @p273 (forall @t172 (or @t475 (not (= @t80 @t169)) @t360))) % 1.54/1.75 (assume @p274 (forall @t180 (or (not (= @t118 @t175)) @t462))) % 1.54/1.75 (assume @p275 (forall @t295 (or @t476 @t251 @t245 @t181))) % 1.54/1.75 (assume @p276 (forall @t290 (or @t83 @t181 @t251 @t245))) % 1.54/1.75 (assume @p277 (forall @t52 (or @t462 @t179 @t105))) % 1.54/1.75 (assume @p278 (forall @t7 (or @t405 @t478 @t4))) % 1.54/1.75 (assume @p279 (forall @t220 (or @t217 @t212 @t405))) % 1.54/1.75 (assume @p280 (forall (@list @t279 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t279 @t1) @t2)) @t217 @t405 @t212))) % 1.54/1.75 (assume @p281 (forall (@list @t10 @t9 @t8 @t21) (or (= (tptp.hAPP @t10 (tptp.hAPP @t16 @t21)) @t21) @t12))) % 1.54/1.75 (assume @p282 (forall @t467 (or @t85 @t102))) % 1.54/1.75 (assume @p283 (forall @t7 (or @t479 (= @t214 @t1) @t213))) % 1.54/1.75 (assume @p284 (forall @t7 (or @t4 @t221))) % 1.54/1.75 (assume @p285 (forall @t220 (or @t219 @t3))) % 1.54/1.75 (assume @p286 (forall (@list @t21 @t32 @t9 @t19) (or @t224 @t439))) % 1.54/1.75 (assume @p287 (forall @t480 (or (= (tptp.c_Set_Oinsert @t58 @t62 @t8) @t62) @t70))) % 1.54/1.75 (assume @p288 (forall (@list @t195) (tptp.c_Finite__Set_Ofinite (tptp.c_SetInterval_Oord__class_OlessThan @t195 tptp.tc_nat) tptp.tc_nat))) % 1.54/1.75 (assume @p289 (forall @t75 (or @t67 @t105 @t69))) % 1.54/1.75 (assume @p290 (forall @t104 (or @t103 @t69 @t68))) % 1.54/1.75 (assume @p291 (forall @t104 (or @t103 @t68 @t69))) % 1.54/1.75 (assume @p292 (forall (@list @t32 @t19 @t9 @t21) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t72 (tptp.c_Set_Oinsert @t21 @t49 @t9) @t14) @t9) @t276 tptp.tc_nat) @t481 @t70 @t60))) % 1.54/1.75 (assume @p293 (forall @t89 (or (not (= @t87 @t66)) @t85 @t69 @t462))) % 1.54/1.75 (assume @p294 (forall @t318 (or (tptp.c_lessequals @t188 @t482 @t61) @t105))) % 1.54/1.75 (assume @p295 (forall @t159 (or (= @t483 @t35) @t231))) % 1.54/1.75 (assume @p296 (forall @t157 (or (= @t485 @t363) @t484))) % 1.54/1.75 (assume @p297 (forall @t52 (or @t486 (= @t34 @t49)))) % 1.54/1.75 (assume @p298 (forall @t52 (or @t486 @t487))) % 1.54/1.75 (assume @p299 (forall @t180 (or @t392 @t488 (= @t32 @t123)))) % 1.54/1.75 (assume @p300 (forall @t180 (or @t392 @t488 (= @t34 @t123)))) % 1.54/1.75 (assume @p301 (forall (@list @t53 @t55 @t143 @t8 @t9 @t119 @t425) (or (not (= @t426 (tptp.c_Fun_Ocomp @t13 @t119 @t8 @t8 @t9))) (= @t427 (tptp.hAPP @t119 @t425))))) % 1.54/1.75 (assume @p302 (forall @t178 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t285 @t32 @t14) @t489))) % 1.54/1.75 (assume @p303 (forall @t52 (= @t357 @t158))) % 1.54/1.75 (assume @p304 (forall @t432 (or (= @t163 @t490) @t151))) % 1.54/1.75 (assume @p305 (forall (@list @t8 @t32 @t34) (or (not (tptp.class_HOL_Ominus @t8)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t32 @t34 @t45) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus @t491 (tptp.hAPP @t34 tptp.v_x) @t8))))) % 1.54/1.75 (assume @p306 (forall @t306 (or (tptp.c_Fun_Obij__betw @t271 @t34 @t32 @t8 @t9) @t264))) % 1.54/1.75 (assume @p307 (forall (@list @t31 @t34 @t9 @t32) (or @t494 @t493))) % 1.54/1.75 (assume @p308 (forall (@list @t31 @t32 @t9 @t34) (or @t418 @t493))) % 1.54/1.75 (assume @p309 (forall @t499 (or @t335 @t498 @t497))) % 1.54/1.75 (assume @p310 (forall (@list @t9 @t19 @t55 @t53) (or @t335 @t500 @t497))) % 1.54/1.75 (assume @p311 (forall @t347 (or @t335 @t501 @t342))) % 1.54/1.75 (assume @p312 (forall @t347 (or @t335 @t501 @t344))) % 1.54/1.75 (assume @p313 (forall @t30 (or @t335 @t296 @t503))) % 1.54/1.75 (assume @p314 (forall @t250 (or @t335 @t351 @t503))) % 1.54/1.75 (assume @p315 (forall @t128 (= (tptp.c_Set_Ovimage @t243 @t32 @t9 @t9) @t32))) % 1.54/1.75 (assume @p316 (forall @t323 (= (tptp.c_HOL_Ominus__class_Ominus @t158 @t31 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t505 @t504 @t14)))) % 1.54/1.75 (assume @p317 (forall @t507 (or @t400 (not @t402) @t506))) % 1.54/1.75 (assume @p318 (forall @t403 (or @t402 @t401 @t506))) % 1.54/1.75 (assume @p319 (forall (@list @t42 @t10 @t143 @t8 @t9 @t19) (= (tptp.c_Set_Ovimage @t508 @t19 @t9 @t8) (tptp.c_Set_Ovimage @t10 (tptp.c_Set_Ovimage @t42 @t19 @t143 @t8) @t9 @t143)))) % 1.54/1.75 (assume @p320 (forall (@list @t53 @t10 @t34 @t9 @t8) (or @t510 (not @t509)))) % 1.54/1.75 (assume @p321 (forall (@list @t53 @t10 @t32 @t8 @t9) (or (tptp.hBOOL (tptp.c_in @t53 @t188 @t8)) (not (tptp.hBOOL (tptp.c_in @t210 @t32 @t9)))))) % 1.54/1.75 (assume @p322 (forall (@list @t53 @t10 @t34 @t8 @t9) (or (tptp.hBOOL (tptp.c_in @t53 @t482 @t8)) (not (tptp.hBOOL (tptp.c_in @t210 @t34 @t9)))))) % 1.54/1.75 (assume @p323 (forall @t511 (or @t509 (not @t510)))) % 1.54/1.75 (assume @p324 (forall (@list @t10 @t53 @t32 @t8 @t9) (or (tptp.hBOOL (tptp.c_in @t210 @t32 @t8)) (not (tptp.hBOOL (tptp.c_in @t53 @t163 @t9)))))) % 1.54/1.75 (assume @p325 (forall @t172 (or @t82 (= @t495 (tptp.hAPP @t79 @t512))))) % 1.54/1.75 (assume @p326 (forall @t52 (= @t158 @t489))) % 1.54/1.75 (assume @p327 (forall @t290 (or @t244 @t514))) % 1.54/1.75 (assume @p328 (forall @t290 (or @t329 @t514))) % 1.54/1.75 (assume @p329 (forall @t180 (= (tptp.hAPP @t117 @t35) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t118 @t175 @t14)))) % 1.54/1.75 (assume @p330 (forall @t290 (or @t125 (= (tptp.hAPP @t79 @t27) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t124 @t315 @t9))))) % 1.54/1.75 (assume @p331 (forall @t172 (or @t82 (= (tptp.hAPP @t79 @t495) @t512)))) % 1.54/1.75 (assume @p332 (forall @t515 (or @t114 (not (tptp.c_HOL_Oord__class_Oless @t112 @t76 @t9))))) % 1.54/1.75 (assume @p333 (forall @t84 (or @t475 (= (tptp.c_HOL_Ominus__class_Ominus @t76 @t53 @t9) @t80)))) % 1.54/1.75 (assume @p334 (forall @t303 (or @t114 (not (= @t131 @t302)) @t360 @t371 @t433 @t130))) % 1.54/1.75 (assume @p335 (forall (@list @t8 @t10 @t32 @t34 @t9) (or @t236 (= (tptp.c_Finite__Set_Osetsum @t10 @t48 @t9 @t8) (tptp.c_HOL_Ominus__class_Ominus @t233 @t516 @t8)) @t179 @t60))) % 1.54/1.75 (assume @p336 (forall @t172 (or @t95 (not @t517) @t369))) % 1.54/1.75 (assume @p337 (forall @t172 (or @t95 @t517 @t368))) % 1.54/1.75 (assume @p338 (forall @t208 (or (= @t192 @t32) @t232))) % 1.54/1.75 (assume @p339 (forall @t208 (= @t192 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t54 @t32 @t14)))) % 1.54/1.75 (assume @p340 (forall @t100 (tptp.c_lessequals @t5 @t5 tptp.tc_nat))) % 1.54/1.75 (assume @p341 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t158 @t14) @t158))) % 1.54/1.75 (assume @p342 (forall @t290 (or @t244 @t518))) % 1.54/1.75 (assume @p343 (forall @t290 (or @t329 @t518))) % 1.54/1.75 (assume @p344 (forall @t227 (tptp.c_Fun_Osurj @t243 @t9 @t9))) % 1.54/1.75 (assume @p345 (forall @t180 (= (tptp.hAPP @t117 @t158) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t175 @t14)))) % 1.54/1.75 (assume @p346 (forall @t290 (or @t125 (= (tptp.hAPP @t79 @t325) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t315 @t9))))) % 1.54/1.75 (assume @p347 (forall @t172 (or @t82 (= (tptp.hAPP @t79 @t345) @t519)))) % 1.54/1.75 (assume @p348 (forall @t52 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t285 @t14) @t49))) % 1.54/1.75 (assume @p349 (forall @t206 (or (tptp.c_lessequals @t276 @t461 tptp.tc_nat) @t105 @t204))) % 1.54/1.75 (assume @p350 (forall @t128 (or @t520 @t59))) % 1.54/1.75 (assume @p351 (forall @t165 (= (tptp.c_Set_Ovimage @t10 @t521 @t9 @t8) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t163 @t162 @t14)))) % 1.54/1.75 (assume @p352 (forall @t172 (or @t193 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t522 @t9) @t345)))) % 1.54/1.75 (assume @p353 (forall @t7 (or (= @t2 @t5) @t3 (not @t523)))) % 1.54/1.75 (assume @p354 (forall @t242 (or @t473 @t240))) % 1.54/1.75 (assume @p355 (forall @t7 (or @t213 @t458))) % 1.54/1.75 (assume @p356 (forall @t220 (or @t457 @t212))) % 1.54/1.75 (assume @p357 (forall @t262 (or (not @t260) @t524))) % 1.54/1.75 (assume @p358 (forall @t303 (or @t114 (not (= @t526 @t525)) @t360 @t433 @t130))) % 1.54/1.75 (assume @p359 (forall @t206 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t175 @t14) @t35))) % 1.54/1.75 (assume @p360 (forall (@list @t9 @t195) (or @t95 (= (tptp.c_HOL_Ominus__class_Ominus @t527 @t196 @t14) @t527)))) % 1.54/1.75 (assume @p361 (forall @t89 (or (= @t88 (tptp.c_Set_Oinsert @t19 @t48 @t9)) @t85))) % 1.54/1.75 (assume @p362 (forall @t127 (or @t528 @t60 @t487))) % 1.54/1.75 (assume @p363 (forall @t75 (or @t67 @t105 @t74))) % 1.54/1.75 (assume @p364 (forall @t437 (or @t436 @t530))) % 1.54/1.75 (assume @p365 (forall @t75 (or @t225 @t530))) % 1.54/1.75 (assume @p366 (forall @t531 (or @t308 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB @t79 @t10 @t9 @t9 @t8) @t32 @t8 @t9) (tptp.hAPP @t79 @t453))))) % 1.54/1.75 (assume @p367 (forall @t52 (or @t50 (not @t532)))) % 1.54/1.75 (assume @p368 (forall @t52 (or @t51 @t532))) % 1.54/1.75 (assume @p369 (forall @t168 (or @t114 (tptp.c_lessequals @t76 @t111 @t9)))) % 1.54/1.75 (assume @p370 (forall @t515 (or @t114 (tptp.c_lessequals @t76 @t112 @t9)))) % 1.54/1.75 (assume @p371 (forall (@list @t32 @t10 @t9 @t8 @t19 @t34) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t305 @t19) @t34 @t9)) @t105 @t269 @t259))) % 1.54/1.75 (assume @p372 (forall @t222 (or (= (tptp.c_HOL_Ominus__class_Ominus @t87 @t71 @t14) @t32) @t69))) % 1.54/1.75 (assume @p373 (forall @t126 (= (tptp.hAPP @t243 @t19) @t19))) % 1.54/1.75 (assume @p374 (forall @t323 (or @t534 (not @t533)))) % 1.54/1.75 (assume @p375 (forall @t38 (or @t533 (not @t534)))) % 1.54/1.75 (assume @p376 (forall @t128 (= (tptp.hAPP @t117 @t118) @t32))) % 1.54/1.75 (assume @p377 (forall @t84 (or @t475 (= @t535 @t53)))) % 1.54/1.75 (assume @p378 (forall @t126 (or @t125 (= (tptp.hAPP @t79 @t124) @t19)))) % 1.54/1.75 (assume @p379 (forall @t537 (or @t475 (= @t55 @t536)))) % 1.54/1.75 (assume @p380 (forall (@list @t21 @t19) (or (tptp.c_HOL_Oord__class_Oless @t21 @t19 tptp.tc_nat) @t538 @t181))) % 1.54/1.75 (assume @p381 (forall @t290 (or @t95 @t181 @t294 @t297))) % 1.54/1.75 (assume @p382 (forall @t295 (or @t83 @t251 @t245 @t181))) % 1.54/1.75 (assume @p383 (forall @t290 (or @t95 @t181 @t297 @t294))) % 1.54/1.75 (assume @p384 (forall @t295 (or @t83 @t251 @t181 @t245))) % 1.54/1.75 (assume @p385 (forall @t290 (or @t83 @t181 @t245 @t251))) % 1.54/1.75 (assume @p386 (forall @t387 (or (= (tptp.hAPP @t305 @t58) @t19) @t70 @t259))) % 1.54/1.75 (assume @p387 (forall (@list @t10 @t32 @t209 @t9 @t19) (or @t388 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t32 @t10 @t209 @t9) @t58) @t19) @t389))) % 1.54/1.75 (assume @p388 (forall @t172 (or @t110 @t171 (not @t540)))) % 1.54/1.75 (assume @p389 (forall @t172 (or @t110 @t540 @t173))) % 1.54/1.75 (assume @p390 (forall @t290 (or @t329 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t325 @t9) @t19)))) % 1.54/1.75 (assume @p391 (forall @t347 (or @t335 @t541 (not (tptp.c_HOL_Oord__class_Oless @t55 @t19 @t9))))) % 1.54/1.75 (assume @p392 (forall @t347 (or @t335 @t541 (not (tptp.c_HOL_Oord__class_Oless @t53 @t19 @t9))))) % 1.54/1.75 (assume @p393 (forall @t52 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t35 @t14) @t32))) % 1.54/1.75 (assume @p394 (forall @t428 (or (tptp.c_lessequals @t19 @t21 tptp.tc_nat) (not @t538)))) % 1.54/1.75 (assume @p395 (forall @t7 (or @t3 @t213))) % 1.54/1.75 (assume @p396 (forall @t290 (or @t95 @t296 @t246))) % 1.54/1.75 (assume @p397 (forall @t290 (or @t249 @t296 @t246))) % 1.54/1.75 (assume @p398 (forall @t290 (or @t244 (= @t325 @t19) @t294))) % 1.54/1.75 (assume @p399 (forall @t290 (or @t244 (not @t542) @t296))) % 1.54/1.75 (assume @p400 (forall @t290 (or @t244 @t542 @t297))) % 1.54/1.75 (assume @p401 (forall @t52 (or @t543 @t105))) % 1.54/1.75 (assume @p402 (forall @t52 (or (= @t158 @t32) @t179))) % 1.54/1.75 (assume @p403 (forall @t52 (or (not @t543) @t103))) % 1.54/1.75 (assume @p404 (forall @t172 (or @t110 @t368 (not @t544)))) % 1.54/1.75 (assume @p405 (forall @t172 (or @t110 @t544 @t369))) % 1.54/1.75 (assume @p406 (forall @t115 (or @t114 @t545 @t213))) % 1.54/1.75 (assume @p407 (forall @t115 (or @t114 @t212 (not @t545)))) % 1.54/1.75 (assume @p408 (forall @t549 (or @t548 @t547 @t546))) % 1.54/1.75 (assume @p409 (forall @t549 (or @t548 @t550 @t546))) % 1.54/1.75 (assume @p410 (forall @t549 (or @t548 @t547 @t551))) % 1.54/1.75 (assume @p411 (forall @t549 (or @t548 @t550 @t551))) % 1.54/1.75 (assume @p412 (forall @t553 (or @t83 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t552 @t449 @t14) (tptp.c_SetInterval_Oord__class_OlessThan @t91 @t9)) (not (tptp.c_lessequals @t93 @t91 @t9))))) % 1.54/1.75 (assume @p413 (forall @t100 (tptp.c_HOL_Oord__class_Oless @t1 @t5 tptp.tc_nat))) % 1.54/1.75 (assume @p414 (forall @t242 @t240)) % 1.54/1.75 (assume @p415 (forall @t555 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc @t197) @t195 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t554 @t195 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t197 @t554 tptp.tc_nat))))) % 1.54/1.75 (assume @p416 (forall (@list @t42 @t10 @t8 @t143 @t9 @t32 @t31 @t34) (or (tptp.c_Fun_Obij__betw @t160 @t32 @t31 @t9 @t143) (not (tptp.c_Fun_Obij__betw @t42 @t34 @t31 @t8 @t143)) @t264))) % 1.54/1.75 (assume @p417 (= (tptp.hAPP @t556 tptp.v_x) (tptp.c_in tptp.v_x @t556 tptp.t_a))) % 1.54/1.75 (assume @p418 (forall (@list @t279 @t19 @t1) (or @t365 @t395 (tptp.c_HOL_Oord__class_Oless @t557 @t1 tptp.tc_nat)))) % 1.54/1.75 (assume @p419 (forall @t222 (or (= @t258 @t276) @t70 @t60))) % 1.54/1.75 (assume @p420 (forall @t128 (or @t559 (not @t558) @t60))) % 1.54/1.75 (assume @p421 (forall @t128 (or @t558 @t560 @t60))) % 1.54/1.75 (assume @p422 (forall (@list @t182 @t183 @t19 @t32 @t9 @t8) (or (= (tptp.hAPP @t182 @t187) @t19) @t184))) % 1.54/1.75 (assume @p423 (forall (@list @t183 @t19 @t32 @t8 @t182 @t9) (or (tptp.hBOOL (tptp.c_in @t187 @t32 @t8)) @t184))) % 1.54/1.75 (assume @p424 (forall @t127 (or @t487 (not (tptp.c_lessequals @t32 @t49 @t14))))) % 1.54/1.75 (assume @p425 (forall @t227 (tptp.c_lessequals @t49 @t49 @t14))) % 1.54/1.75 (assume @p426 (forall @t434 (or @t114 @t171 @t433 (not (tptp.c_lessequals @t526 @t525 @t9))))) % 1.54/1.75 (assume @p427 (forall @t194 (not (= @t49 @t192)))) % 1.54/1.75 (assume @p428 (forall @t84 (or @t110 @t561 @t130))) % 1.54/1.75 (assume @p429 (forall @t84 (or @t110 @t129 (not @t561)))) % 1.54/1.75 (assume @p430 (forall @t168 (or @t114 @t562 @t371))) % 1.54/1.75 (assume @p431 (forall @t168 (or @t114 @t370 (not @t562)))) % 1.54/1.75 (assume @p432 (forall (@list @t10 @t32 @t8 @t9 @t21) (or (= (tptp.hAPP @t10 (tptp.hAPP @t272 @t21)) @t21) (not (tptp.hBOOL (tptp.c_in @t21 @t56 @t9)))))) % 1.54/1.75 (assume @p433 (forall (@list @t53 @t9) (not (tptp.hBOOL (tptp.c_in @t53 @t49 @t9))))) % 1.54/1.75 (assume @p434 (forall (@list @t119 @t9) (not (tptp.hBOOL (tptp.c_in @t119 @t49 @t9))))) % 1.54/1.75 (assume @p435 (forall @t367 (or @t365 @t364))) % 1.54/1.75 (assume @p436 (forall @t300 @t364)) % 1.54/1.75 (assume @p437 (forall @t157 (or (= @t485 (tptp.c_Set_Oinsert @t53 @t363 @t9)) (not @t484)))) % 1.54/1.75 (assume @p438 (forall @t159 (or (= @t483 @t211) @t232))) % 1.54/1.75 (assume @p439 (forall @t127 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t15 @t14) @t49))) % 1.54/1.75 (assume @p440 (forall @t466 (or (tptp.c_lessequals @t158 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t31 @t465 @t14) @t14) @t563 @t337))) % 1.54/1.75 (assume @p441 (forall (@list @t10 @t53 @t55 @t8 @t9) (or (= @t210 @t55) (not (tptp.hBOOL (tptp.c_in @t53 (tptp.c_Set_Ovimage @t10 (tptp.c_Set_Oinsert @t55 @t284 @t8) @t9 @t8) @t9)))))) % 1.54/1.75 (assume @p442 (forall @t290 (or @t329 @t564))) % 1.54/1.75 (assume @p443 (forall @t290 (or @t329 @t565))) % 1.54/1.75 (assume @p444 (forall @t30 (or @t335 @t502 @t352 @t297))) % 1.54/1.75 (assume @p445 (forall @t499 (or @t335 @t496 @t567 @t566))) % 1.54/1.75 (assume @p446 (forall @t290 (or @t335 @t565))) % 1.54/1.75 (assume @p447 (forall @t290 (or @t335 @t564))) % 1.54/1.75 (assume @p448 (forall @t52 (tptp.c_lessequals @t35 @t32 @t14))) % 1.54/1.75 (assume @p449 (forall @t52 (tptp.c_lessequals @t35 @t34 @t14))) % 1.54/1.75 (assume @p450 (forall @t463 (or @t492 (not @t494) @t420))) % 1.54/1.75 (assume @p451 (forall (@list @t8 @t9 @t10) (or (= (tptp.c_Hilbert__Choice_Oinv__into @t568 @t16 @t8 @t9) @t10) @t151))) % 1.54/1.75 (assume @p452 (forall (@list @t10 @t42 @t399 @t569 @t143 @t9 @t8) (= (tptp.c_Fun_Ocomp @t10 (tptp.c_Fun_Ocomp @t42 @t399 @t569 @t143 @t9) @t143 @t8 @t9) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t10 @t42 @t143 @t8 @t569) @t399 @t569 @t8 @t9)))) % 1.54/1.75 (assume @p453 (forall @t7 (or @t3 @t216))) % 1.54/1.75 (assume @p454 (forall @t7 (or @t523 @t4))) % 1.54/1.75 (assume @p455 (forall (@list @t8 @t32) (or (not (tptp.class_HOL_Ouminus @t8)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t45) @t32) tptp.v_x) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t8) @t491))))) % 1.54/1.75 (assume @p456 (forall @t25 (or @t24 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t444 @t19 @t9) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t513 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t19 @t9) @t9))))) % 1.54/1.75 (assume @p457 (forall @t30 (or @t24 (= @t469 @t468)))) % 1.54/1.75 (assume @p458 (forall @t38 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t363 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t158 @t321 @t14)))) % 1.54/1.75 (assume @p459 (forall @t41 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t363 @t32 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t489 @t362 @t14)))) % 1.54/1.75 (assume @p460 (forall @t222 (tptp.hBOOL (tptp.hAPP @t87 @t19)))) % 1.54/1.75 (assume @p461 (forall @t100 (not (tptp.c_lessequals @t5 @t1 tptp.tc_nat)))) % 1.54/1.75 (assume @p462 (forall (@list @t10 @t42 @t143 @t8) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t10 @t42 @t143 @t8 tptp.t_a) tptp.v_x) (tptp.hAPP @t10 @t43)))) % 1.54/1.75 (assume @p463 (forall @t89 (or @t101 @t105 @t86))) % 1.54/1.75 (assume @p464 (forall (@list @t9 @t10 @t2 @t1) (or @t454 (= (tptp.c_Finite__Set_Osetsum @t10 @t374 tptp.tc_nat @t9) @t76) @t218))) % 1.54/1.75 (assume @p465 (forall @t227 (or @t125 (= (tptp.hAPP @t79 @t123) @t359)))) % 1.54/1.75 (assume @p466 (forall @t227 (= @t226 @t15))) % 1.54/1.75 (assume @p467 (forall @t290 (or @t329 @t570))) % 1.54/1.75 (assume @p468 (forall @t290 (or @t335 @t570))) % 1.54/1.75 (assume @p469 (forall @t52 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t35 @t14) @t35))) % 1.54/1.75 (assume @p470 (forall (@list @t32 @t34 @t9 @t53) (or @t140 (not @t571)))) % 1.54/1.75 (assume @p471 (forall @t159 (or @t571 @t205))) % 1.54/1.75 (assume @p472 (forall @t385 (or @t63 @t384 @t12))) % 1.54/1.75 (assume @p473 (forall @t84 (or @t83 @t82 (= @t81 @t53) @t77))) % 1.54/1.75 (assume @p474 (forall @t382 (or @t440 @t391))) % 1.54/1.75 (assume @p475 (forall @t382 (or @t440 @t122))) % 1.54/1.75 (assume @p476 (forall @t100 (not (= @t5 @t1)))) % 1.54/1.75 (assume @p477 (forall @t84 (or @t475 (= @t53 @t535)))) % 1.54/1.75 (assume @p478 (forall @t537 (or @t475 (= @t536 @t55)))) % 1.54/1.75 (assume @p479 (forall @t499 (or @t244 @t572 (not (tptp.c_HOL_Oord__class_Oless @t19 @t53 @t9))))) % 1.54/1.75 (assume @p480 (forall @t499 (or @t244 @t572 (not (tptp.c_HOL_Oord__class_Oless @t19 @t55 @t9))))) % 1.54/1.75 (assume @p481 (forall @t172 (or @t308 (= (tptp.hAPP @t79 @t539) (tptp.c_HOL_Ominus__class_Ominus @t55 @t53 @t9))))) % 1.54/1.75 (assume @p482 (forall @t165 (= (tptp.c_Set_Ovimage @t10 @t410 @t9 @t8) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t163 @t162 @t14)))) % 1.54/1.75 (assume @p483 (forall (@list @t19 @t1) (or (tptp.c_HOL_Oord__class_Oless @t239 @t5 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t19 @t1 tptp.tc_nat))))) % 1.54/1.75 (assume @p484 (forall @t7 (or @t212 (not @t573)))) % 1.54/1.75 (assume @p485 (forall @t7 (or @t573 @t213))) % 1.54/1.75 (assume @p486 (forall @t417 (or @t574 @t415))) % 1.54/1.75 (assume @p487 (forall @t417 (or @t574 @t412))) % 1.54/1.75 (assume @p488 (forall (@list @t8 @t10 @t19 @t42 @t9) (or (not (tptp.class_HOL_Oord @t8)) (tptp.c_lessequals @t58 @t422 @t8) (not (tptp.c_lessequals @t10 @t42 (tptp.tc_fun @t9 @t8)))))) % 1.54/1.75 (assume @p489 (forall @t174 (or @t110 @t576 (not @t575)))) % 1.54/1.75 (assume @p490 (forall @t172 (or @t110 @t575 (not @t576)))) % 1.54/1.75 (assume @p491 (forall @t174 (or @t110 @t578 (not @t577)))) % 1.54/1.75 (assume @p492 (forall @t172 (or @t110 @t577 (not @t578)))) % 1.54/1.75 (assume @p493 (forall @t174 (or @t110 @t580 (not @t579)))) % 1.54/1.75 (assume @p494 (forall @t172 (or @t110 @t579 (not @t580)))) % 1.54/1.75 (assume @p495 (forall @t174 (or @t110 @t582 (not @t581)))) % 1.54/1.75 (assume @p496 (forall @t172 (or @t110 @t581 (not @t582)))) % 1.54/1.75 (assume @p497 (forall @t227 (or @t475 @t584))) % 1.54/1.75 (assume @p498 (forall @t227 (or @t134 @t584))) % 1.54/1.75 (assume @p499 (forall @t132 (or @t588 @t587 @t586 @t166 @t585 @t90))) % 1.54/1.75 (assume @p500 (forall @t132 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t9)) @t585 @t90))) % 1.54/1.75 (assume @p501 (forall @t227 (or @t475 (= @t76 @t583)))) % 1.54/1.75 (assume @p502 (forall @t84 (or @t475 (not (= @t80 @t76)) @t90))) % 1.54/1.75 (assume @p503 (forall @t126 (or @t591 @t590 @t589))) % 1.54/1.75 (assume @p504 (forall @t84 (or @t475 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t53 @t9) @t76)))) % 1.54/1.75 (assume @p505 (forall @t84 (or @t475 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t76 @t9) @t53)))) % 1.54/1.75 (assume @p506 (forall @t126 (or @t475 @t589))) % 1.54/1.75 (assume @p507 (forall @t126 (or @t308 @t589))) % 1.54/1.75 (assume @p508 (forall @t84 (or @t475 (not (= @t76 @t80)) (= @t76 @t53)))) % 1.54/1.75 (assume @p509 (forall @t290 (or @t591 @t590 (not (= @t316 @t76)) @t181))) % 1.54/1.75 (assume @p510 (forall @t172 (or @t475 @t592 @t360))) % 1.54/1.75 (assume @p511 (forall @t172 (or @t308 @t592 @t360))) % 1.54/1.75 (assume @p512 (forall @t84 (or @t134 (not (= @t80 @t53)) @t90))) % 1.54/1.75 (assume @p513 (tptp.c_lessequals @t97 @t97 tptp.tc_nat)) % 1.54/1.75 (assume @p514 (not (tptp.c_HOL_Oord__class_Oless @t97 @t97 tptp.tc_nat))) % 1.54/1.75 (assume @p515 (forall @t100 (or @t370 @t99))) % 1.54/1.75 (assume @p516 (forall @t593 (not (= @t214 @t97)))) % 1.54/1.75 (assume @p517 (forall @t594 (not (= @t431 @t97)))) % 1.54/1.75 (assume @p518 (forall @t100 (or @t99 (not (tptp.c_lessequals @t1 @t97 tptp.tc_nat))))) % 1.54/1.75 (assume @p519 (forall @t593 (not (= @t97 @t214)))) % 1.54/1.75 (assume @p520 (forall @t594 (not (= @t97 @t431)))) % 1.54/1.75 (assume @p521 (forall @t593 (not (tptp.c_HOL_Oord__class_Oless @t2 @t97 tptp.tc_nat)))) % 1.54/1.75 (assume @p522 (forall @t100 (not (tptp.c_HOL_Oord__class_Oless @t1 @t97 tptp.tc_nat)))) % 1.54/1.75 (assume @p523 (forall @t100 (tptp.c_lessequals @t97 @t1 tptp.tc_nat))) % 1.54/1.75 (assume @p524 (forall @t127 (or (not @t595) @t60 @t487))) % 1.54/1.75 (assume @p525 (forall @t127 (or @t59 (not @t528)))) % 1.54/1.75 (assume @p526 (forall @t227 (not (tptp.c_HOL_Oord__class_Oless @t97 @t298 tptp.tc_nat)))) % 1.54/1.75 (assume @p527 (forall @t165 (= (tptp.c_Set_Oimage @t10 @t521 @t8 @t9) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t56 @t317 @t14)))) % 1.54/1.75 (assume @p528 (forall @t596 (or (not (tptp.c_lessequals @t19 @t32 @t61)) (tptp.c_lessequals (tptp.c_Set_Oimage @t10 @t19 @t8 @t9) @t56 @t14)))) % 1.54/1.75 (assume @p529 (forall @t267 (or @t598 @t105))) % 1.54/1.75 (assume @p530 (forall @t190 (or (not (= @t56 @t49)) @t599))) % 1.54/1.75 (assume @p531 (forall (@list @t10 @t42 @t143 @t9 @t8 @t600) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t10 @t42 @t143 @t9 @t8) @t600 @t8 @t9) (tptp.c_Set_Oimage @t10 (tptp.c_Set_Oimage @t42 @t600 @t8 @t143) @t143 @t9)))) % 1.54/1.75 (assume @p532 @t602) % 1.54/1.75 (assume @p533 (forall (@list @t10 @t42 @t32 @t143 @t8 @t9) (= (tptp.c_Set_Oimage @t10 (tptp.c_Set_Oimage @t42 @t32 @t143 @t8) @t8 @t9) (tptp.c_Set_Oimage (tptp.c_COMBB @t10 @t42 @t8 @t9 @t143) @t32 @t143 @t9)))) % 1.54/1.75 (assume @p534 (forall @t511 (= (tptp.c_Set_Oimage @t10 @t603 @t8 @t9) (tptp.c_Set_Oinsert @t210 @t317 @t9)))) % 1.54/1.75 (assume @p535 (forall @t507 (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t399 @t398 @t9 @t8) @t8) @t412))) % 1.54/1.75 (assume @p536 (forall @t190 (= (tptp.c_Set_Oimage @t604 @t32 @t8 @t9) @t56))) % 1.54/1.75 (assume @p537 (forall @t455 (or (not (= @t49 @t56)) @t599))) % 1.54/1.75 (assume @p538 (forall @t442 (= (tptp.c_Set_Oimage @t280 @t441 @t9 @t9) @t441))) % 1.54/1.75 (assume @p539 (forall @t606 (= @t605 @t49))) % 1.54/1.75 (assume @p540 (forall @t442 (= (tptp.c_Set_Oimage @t243 @t441 @t9 @t9) @t441))) % 1.54/1.75 (assume @p541 (forall @t409 (= @t49 @t605))) % 1.54/1.75 (assume @p542 (forall @t390 (or @t389 (tptp.hBOOL (tptp.c_in @t58 (tptp.c_Set_Oimage @t10 @t32 @t209 @t9) @t9))))) % 1.54/1.75 (assume @p543 (forall @t596 (or @t57 @t607))) % 1.54/1.75 (assume @p544 (forall (@list @t10 @t19 @t32 @t8 @t9) (or @t607 @t57))) % 1.54/1.75 (assume @p545 (forall @t480 (or (tptp.hBOOL (tptp.c_in @t58 @t62 @t8)) @t70))) % 1.54/1.75 (assume @p546 (forall @t190 (= @t189 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t608 @t14)))) % 1.54/1.75 (assume @p547 (forall (@list @t10 @t9 @t8 @t32) (or (= (tptp.c_Set_Oimage @t10 @t490 @t9 @t8) @t32) @t12))) % 1.54/1.75 (assume @p548 (forall (@list @t10 @t42 @t9 @t143 @t8) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t10 @t42 @t9 @t143 @t8) @t568 @t8 @t143) @t143) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t42 @t568 @t8 @t9) @t9))))) % 1.54/1.75 (assume @p549 (forall @t126 (or (not (tptp.class_Orderings_Otop @t9)) (tptp.c_lessequals @t19 @t359 @t9)))) % 1.54/1.75 (assume @p550 (forall @t126 (or @t392 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t359 @t19 @t9) @t19)))) % 1.54/1.75 (assume @p551 (forall @t126 (or @t392 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t359 @t9) @t19)))) % 1.54/1.75 (assume @p552 (forall @t180 (or @t392 @t609 (= @t32 @t359)))) % 1.54/1.75 (assume @p553 (forall @t180 (or @t392 @t609 (= @t34 @t359)))) % 1.54/1.75 (assume @p554 (forall @t126 (or @t392 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t359 @t19 @t9) @t359)))) % 1.54/1.75 (assume @p555 (forall @t126 (or @t392 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t19 @t359 @t9) @t359)))) % 1.54/1.75 (assume @p556 (forall @t227 (or @t520 @t559))) % 1.54/1.75 (assume @p557 (forall @t127 (tptp.c_lessequals @t32 @t15 @t14))) % 1.54/1.75 (assume @p558 (forall @t127 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t15 @t14) @t32))) % 1.54/1.75 (assume @p559 (forall @t393 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t34 @t14) @t34))) % 1.54/1.75 (assume @p560 (forall @t227 (not (= @t15 @t49)))) % 1.54/1.75 (assume @p561 (forall @t300 (tptp.hBOOL (tptp.c_in @t19 @t15 @t9)))) % 1.54/1.75 (assume @p562 (forall @t127 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t32 @t15 @t14) @t15))) % 1.54/1.75 (assume @p563 (forall @t393 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t34 @t14) @t15))) % 1.54/1.75 (assume @p564 (forall @t606 (= (tptp.c_Set_Ovimage @t10 @t568 @t9 @t8) @t15))) % 1.54/1.75 (assume @p565 (forall @t432 (or (tptp.c_lessequals @t610 @t276 tptp.tc_nat) @t60))) % 1.54/1.75 (assume @p566 (forall @t613 (or @t612 @t339 @t337 @t611))) % 1.54/1.75 (assume @p567 (forall @t622 (or @t621 @t619 @t617 @t615))) % 1.54/1.75 (assume @p568 (forall @t624 (or @t618 @t623 @t617 @t615))) % 1.54/1.75 (assume @p569 (forall @t622 (or @t621 @t619 @t617 @t626))) % 1.54/1.75 (assume @p570 (forall @t624 (or @t618 @t623 @t617 @t626))) % 1.54/1.75 (assume @p571 (forall (@list @t10 @t32 @t9 @t8 @t21) (or (= (tptp.hAPP @t10 (tptp.hAPP @t305 @t21)) @t21) @t270 @t259))) % 1.54/1.75 (assume @p572 (forall (@list @t8 @t10 @t34 @t9) (or @t456 (= @t516 (tptp.c_Finite__Set_Osetsum @t13 @t597 @t8 @t8)) @t283))) % 1.54/1.75 (assume @p573 (forall (@list @t32 @t10 @t8 @t9 @t34) (or (tptp.c_Fun_Oinj__on @t272 @t34 @t9 @t8) (not (tptp.c_lessequals @t34 @t56 @t14))))) % 1.54/1.75 (assume @p574 (forall @t627 (or (= @t620 @t32) @t617 (not (tptp.c_lessequals @t620 @t32 @t14)) @t60))) % 1.54/1.75 (assume @p575 (forall @t613 (or @t628 @t339 @t337 @t611))) % 1.54/1.75 (assume @p576 (forall (@list @t32 @t10 @t9 @t8 @t273) (or (= (tptp.c_Set_Oimage @t271 (tptp.c_Set_Oimage @t10 @t273 @t9 @t8) @t8 @t9) @t273) (not (tptp.c_lessequals @t273 @t32 @t14)) @t259))) % 1.54/1.75 (assume @p577 (forall @t100 (not (= @t1 @t5)))) % 1.54/1.75 (assume @p578 (forall @t208 (or (= @t358 @t32) @t232))) % 1.54/1.75 (assume @p579 (forall @t126 (or @t335 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t19 @t19 @t9) @t19)))) % 1.54/1.75 (assume @p580 (forall @t127 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t32 @t14) @t32))) % 1.54/1.75 (assume @p581 (forall @t25 (or @t244 @t353 @t629))) % 1.54/1.75 (assume @p582 (forall @t250 (or @t244 @t351 @t629))) % 1.54/1.75 (assume @p583 (forall @t499 (or @t244 @t630 @t567))) % 1.54/1.75 (assume @p584 (forall @t499 (or @t244 @t630 @t566))) % 1.54/1.75 (assume @p585 (forall (@list @t9 @t55 @t19 @t53) (or @t244 @t343 @t631))) % 1.54/1.75 (assume @p586 (forall (@list @t9 @t53 @t19 @t55) (or @t244 @t341 @t631))) % 1.54/1.75 (assume @p587 (forall @t470 (or @t336 @t632))) % 1.54/1.75 (assume @p588 (forall @t41 (or @t338 @t632))) % 1.54/1.75 (assume @p589 (forall @t47 (or @t46 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t42 @t45) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t44 @t43 @t8))))) % 1.54/1.75 (assume @p590 (forall @t255 (or @t95 @t350 @t633 @t294))) % 1.54/1.75 (assume @p591 (forall @t255 (or @t95 @t254 @t633 @t252))) % 1.54/1.75 (assume @p592 (forall @t255 (or @t95 @t254 @t253 @t294))) % 1.54/1.75 (assume @p593 (forall @t250 (or @t249 @t351 @t354 @t297))) % 1.54/1.75 (assume @p594 (forall @t467 (or @t85 @t70 @t105))) % 1.54/1.75 (assume @p595 (forall @t100 (tptp.c_lessequals @t1 @t1 tptp.tc_nat))) % 1.54/1.75 (assume @p596 (forall @t333 (or @t332 @t122 @t105))) % 1.54/1.75 (assume @p597 (forall @t555 (or (tptp.c_lessequals @t197 @t195 tptp.tc_nat) (not (tptp.c_lessequals @t554 @t195 tptp.tc_nat)) (not (tptp.c_lessequals @t197 @t554 tptp.tc_nat))))) % 1.54/1.75 (assume @p598 (forall @t242 @t241)) % 1.54/1.75 (assume @p599 (forall @t300 (tptp.c_lessequals @t19 @t19 @t14))) % 1.54/1.75 (assume @p600 (forall @t467 (or @t85 @t105 @t70))) % 1.54/1.75 (assume @p601 (forall (@list @t634 @t34 @t9 @t32) (or (tptp.hBOOL (tptp.c_in @t634 @t34 @t9)) (not (tptp.hBOOL (tptp.c_in @t634 @t32 @t9))) @t105))) % 1.54/1.75 (assume @p602 (forall @t127 (tptp.c_lessequals @t32 @t32 @t14))) % 1.54/1.75 (assume @p603 (forall @t470 (or @t336 @t339 @t105))) % 1.54/1.75 (assume @p604 (forall @t637 (or @t636 @t366 @t635))) % 1.54/1.75 (assume @p605 (forall @t126 (or @t95 @t293))) % 1.54/1.75 (assume @p606 (forall @t126 (or @t249 @t293))) % 1.54/1.75 (assume @p607 (forall @t206 (or @t59 @t204 @t105))) % 1.54/1.75 (assume @p608 (forall @t637 (or @t636 @t635 @t366))) % 1.54/1.75 (assume @p609 (forall @t206 (or @t59 @t105 @t204))) % 1.54/1.75 (assume @p610 (forall @t250 (or @t249 @t248 @t247 @t297))) % 1.54/1.75 (assume @p611 (forall @t250 (or @t249 @t248 @t354 @t246))) % 1.54/1.75 (assume @p612 (forall (@list @t10 @t32 @t8 @t9 @t19) (or (= (tptp.hAPP @t604 @t19) @t58) @t57))) % 1.54/1.75 (assume @p613 (forall @t84 (or @t193 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t54 @t9) @t53)))) % 1.54/1.75 (assume @p614 (forall @t172 (or @t95 @t472 @t368))) % 1.54/1.75 (assume @p615 (forall @t172 (or @t95 (not @t472) @t369))) % 1.54/1.75 (assume @p616 (forall @t381 (or @t379 (= (tptp.c_Finite__Set_Ocard @t380 @t9) (tptp.c_Suc @t638)) (= @t638 @t97)))) % 1.54/1.75 (assume @p617 (forall (@list @t53 @t55 @t34 @t9) (or (tptp.hBOOL (tptp.c_in @t53 @t106 @t9)) (not (tptp.hBOOL (tptp.c_in @t53 @t34 @t9)))))) % 1.54/1.75 (assume @p618 (forall (@list @t53 @t55 @t32 @t9) (or @t474 @t232))) % 1.54/1.75 (assume @p619 (forall @t443 (or (tptp.c_HOL_Oord__class_Oless @t256 @t276 tptp.tc_nat) @t70 @t60))) % 1.54/1.75 (assume @p620 (forall @t149 (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t32 @t148 @t143 @t8) @t19) (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_Fun_Othe__inv__into @t32 @t42 @t143 @t9) (tptp.c_Fun_Othe__inv__into @t144 @t10 @t9 @t8) @t9 @t143 @t8) @t19)) @t147 @t146 @t145))) % 1.54/1.75 (assume @p621 (forall @t466 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t465 @t14) @t14) @t563 @t337))) % 1.54/1.75 (assume @p622 (forall @t38 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t36 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t505 @t14)))) % 1.54/1.75 (assume @p623 (forall @t323 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t31 @t14) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t504 @t14)))) % 1.54/1.75 (assume @p624 (forall (@list @t9 @t197 @t2 @t1) (or @t83 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t197 @t2 @t9) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t197 @t1 @t9) @t14) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t1 @t2 @t9)) (not (tptp.c_lessequals @t197 @t1 @t9))))) % 1.54/1.75 (assume @p625 (forall @t443 (or (tptp.c_lessequals @t256 @t276 tptp.tc_nat) @t60))) % 1.54/1.75 (assume @p626 (forall @t300 (tptp.hBOOL (tptp.c_in @t19 @t71 @t9)))) % 1.54/1.75 (assume @p627 (forall @t220 (or @t459 @t458 @t4))) % 1.54/1.75 (assume @p628 (forall @t127 (or @t487 (not (tptp.c_lessequals @t32 @t118 @t14))))) % 1.54/1.75 (assume @p629 (forall (@list @t53 @t55 @t143 @t8 @t9 @t119 @t375 @t569 @t425) (or (not (= @t426 (tptp.c_Fun_Ocomp @t119 @t375 @t569 @t8 @t9))) (= @t427 (tptp.hAPP @t119 (tptp.hAPP @t375 @t425)))))) % 1.54/1.75 (assume @p630 (forall (@list @t10 @t42 @t19 @t641 @t640 @t310 @t8 @t9 @t143 @t569 @t639) (or (not (= @t423 (tptp.hAPP @t641 (tptp.hAPP @t640 @t310)))) (= @t424 (tptp.hAPP (tptp.c_Fun_Ocomp @t641 @t640 @t569 @t9 @t639) @t310))))) % 1.54/1.75 (assume @p631 (forall @t443 (or (= @t32 @t71) @t487 (not (tptp.c_lessequals @t32 @t71 @t14))))) % 1.54/1.75 (assume @p632 (forall @t511 (= (tptp.c_Set_Ovimage @t10 @t603 @t9 @t8) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t10 (tptp.c_Set_Oinsert @t53 @t284 @t8) @t9 @t8) @t162 @t14)))) % 1.54/1.75 (assume @p633 (forall @t38 (= (tptp.c_HOL_Ominus__class_Ominus @t32 @t363 @t14) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t505 @t14)))) % 1.54/1.75 (assume @p634 (forall @t7 (or @t212 (not @t479)))) % 1.54/1.75 (assume @p635 (forall @t7 (or @t6 @t213))) % 1.54/1.75 (assume @p636 (forall (@list @t32 @t10 @t19 @t9 @t8) (or @t643 (not @t642)))) % 1.54/1.75 (assume @p637 (forall (@list @t10 @t32 @t9 @t8 @t19) (or @t642 (not @t643)))) % 1.54/1.75 (assume @p638 (forall @t443 (or (= @t257 @t276) @t70 @t60))) % 1.54/1.75 (assume @p639 (forall @t382 (or @t330 @t391 @t122))) % 1.54/1.75 (assume @p640 (forall @t104 (or @t529 @t438 @t439))) % 1.54/1.75 (assume @p641 (forall @t172 (or @t82 (= @t345 (tptp.hAPP @t79 @t519))))) % 1.54/1.75 (assume @p642 (forall (@list @t34 @t31 @t32 @t9) (or (= (tptp.c_HOL_Ominus__class_Ominus @t34 (tptp.c_HOL_Ominus__class_Ominus @t31 @t32 @t14) @t14) @t32) @t339 @t105))) % 1.54/1.75 (assume @p643 (forall @t646 (or @t110 @t645 @t644 @t294))) % 1.54/1.75 (assume @p644 (forall @t646 (or @t110 @t645 @t289 (not @t644)))) % 1.54/1.75 (assume @p645 (forall @t646 (or @t110 @t645 @t647 @t246))) % 1.54/1.75 (assume @p646 (forall @t646 (or @t110 @t645 @t245 (not @t647)))) % 1.54/1.75 (assume @p647 (forall @t84 (or @t110 @t648 @t78))) % 1.54/1.75 (assume @p648 (forall @t84 (or @t110 @t77 (not @t648)))) % 1.54/1.75 (assume @p649 (forall (@list @t53 @t31 @t9 @t465) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t53 @t31 @t9) (tptp.c_Set_Oinsert @t53 @t465 @t9) @t14) (not (tptp.c_lessequals @t31 @t465 @t14))))) % 1.54/1.75 (assume @p650 (forall @t227 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t49 @t14) @t49))) % 1.54/1.75 (assume @p651 (forall @t553 (or @t95 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t552 @t449 @t14) @t49)))) % 1.54/1.75 (assume @p652 (forall @t174 (or @t95 @t649 @t360 @t471))) % 1.54/1.75 (assume @p653 (forall @t174 (or @t95 @t649 @t471 @t360))) % 1.54/1.75 (assume @p654 (forall @t7 (or @t212 @t405 @t4))) % 1.54/1.75 (assume @p655 (forall @t7 (or @t405 @t212 @t4))) % 1.54/1.75 (assume @p656 (forall @t290 (or @t95 @t181 @t245 @t297))) % 1.54/1.75 (assume @p657 (forall @t290 (or @t95 @t245 @t181 @t297))) % 1.54/1.75 (assume @p658 (forall @t172 (or @t95 @t368 @t360 @t173))) % 1.54/1.75 (assume @p659 (forall @t172 (or @t95 @t368 @t173 @t360))) % 1.54/1.75 (assume @p660 (forall @t290 (or @t83 @t181 @t297 @t245))) % 1.54/1.75 (assume @p661 (forall @t290 (or @t83 @t181 @t245 @t297))) % 1.54/1.75 (assume @p662 (forall @t409 (or (tptp.c_Fun_Obij @t16 @t8 @t9) @t151))) % 1.54/1.75 (assume @p663 (forall @t606 (= (tptp.c_Set_Ovimage @t10 @t284 @t9 @t8) @t49))) % 1.54/1.75 (assume @p664 (forall @t84 (or @t476 @t77 (not @t650)))) % 1.54/1.75 (assume @p665 (forall @t84 (or @t476 @t650 @t78))) % 1.54/1.75 (assume @p666 (forall @t220 (or @t477 (not @t651)))) % 1.54/1.75 (assume @p667 (forall @t220 (or @t651 @t478))) % 1.54/1.75 (assume @p668 (forall (@list @t9 @t19 @t32) (or @t193 (tptp.c_lessequals @t19 @t191 @t9) @t70))) % 1.54/1.75 (assume @p669 (forall @t172 (or @t95 @t369 @t652))) % 1.54/1.75 (assume @p670 (forall @t290 (or @t83 @t246 @t252))) % 1.54/1.75 (assume @p671 (forall @t220 (or @t477 @t3))) % 1.54/1.75 (assume @p672 (forall @t295 (or @t83 @t289 @t296))) % 1.54/1.75 (assume @p673 (forall @t295 (or @t249 @t252 @t246))) % 1.54/1.75 (assume @p674 (forall @t174 (or @t249 @t652 @t369))) % 1.54/1.75 (assume @p675 (forall @t657 (or @t656 @t654 @t621 @t619 @t617))) % 1.54/1.75 (assume @p676 (forall @t657 (or @t656 @t654 @t618 @t623 @t617))) % 1.54/1.75 (assume @p677 (forall @t622 (or @t621 @t619 @t617 @t655 @t653))) % 1.54/1.75 (assume @p678 (forall @t624 (or @t618 @t623 @t617 @t655 @t653))) % 1.54/1.75 (assume @p679 (forall (@list @t143 @t399 @t10 @t34 @t9 @t8) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t143)) (= (tptp.c_Finite__Set_Osetsum @t399 @t597 @t8 @t143) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Ocomp @t399 @t10 @t8 @t143 @t9) @t34 @t9 @t143)) @t283))) % 1.54/1.75 (assume @p680 (forall @t627 (or @t616 (not (tptp.c_lessequals @t32 @t620 @t14)) @t60))) % 1.54/1.75 (assume @p681 (forall @t661 (or (tptp.c_lessequals @t276 @t660 tptp.tc_nat) @t659 @t658 @t259))) % 1.54/1.75 (assume @p682 (forall (@list @t42 @t9 @t10 @t8 @t143) (or (= (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t42 @t16 @t9 @t143 @t8) @t10 @t8 @t143 @t9) @t42) @t407))) % 1.54/1.75 (assume @p683 (forall (@list @t279 @t19 @t9 @t10 @t8) (or @t365 (not (tptp.hBOOL (tptp.hAPP @t279 (tptp.hAPP @t16 @t662)))) @t407))) % 1.54/1.75 (assume @p684 (forall (@list @t10 @t19 @t319 @t9 @t8) (or (= (tptp.c_List_Omap @t10 (tptp.c_List_OremoveAll @t19 @t319 @t9) @t9 @t8) (tptp.c_List_OremoveAll @t58 @t663 @t8)) @t407))) % 1.54/1.75 (assume @p685 (forall (@list @t10 @t42 @t9 @t8) (or (not (= (tptp.hAPP @t10 (tptp.hAPP @t42 @t664)) @t664)) @t407 (= @t16 @t42)))) % 1.54/1.75 (assume @p686 (forall @t409 (or (tptp.c_Fun_Osurj @t16 @t8 @t9) @t407))) % 1.54/1.75 (assume @p687 (forall @t18 (or (not (= @t666 @t665)) @t406))) % 1.54/1.75 (assume @p688 (forall @t18 (or @t406 (= (tptp.hAPP @t10 @t668) (tptp.hAPP @t10 @t667))))) % 1.54/1.75 (assume @p689 (forall @t18 (or (not (= @t668 @t667)) @t406))) % 1.54/1.75 (assume @p690 (forall (@list @t399 @t398 @t8 @t9) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t399 @t398 @t8 @t9) @t8) (not (tptp.c_Fun_Oinj__on @t399 @t568 @t8 @t9)) @t412))) % 1.54/1.75 (assume @p691 (forall @t18 (or @t406 (= (tptp.hAPP @t10 @t666) (tptp.hAPP @t10 @t665))))) % 1.54/1.75 (assume @p692 (forall @t18 (or @t150 @t12 @t407))) % 1.54/1.75 (assume @p693 (forall @t671 (or @t670 (not @t669) @t560))) % 1.54/1.75 (assume @p694 (forall @t671 (or @t669 (not @t670) @t560))) % 1.54/1.75 (assume @p695 (forall @t409 (or (tptp.c_Fun_Oinj__on @t16 @t568 @t8 @t9) @t12))) % 1.54/1.75 (assume @p696 (forall @t661 (or @t672 @t264))) % 1.54/1.75 (assume @p697 (forall @t267 (or @t142 @t105 @t283))) % 1.54/1.75 (assume @p698 (forall @t432 (or @t673 @t259))) % 1.54/1.75 (assume @p699 (forall @t432 (or @t142 (not @t673)))) % 1.54/1.75 (assume @p700 (forall @t128 (tptp.c_Fun_Oinj__on @t280 @t32 @t9 @t9))) % 1.54/1.75 (assume @p701 (forall @t268 (or (tptp.c_Fun_Oinj__on @t10 @t48 @t9 @t8) @t259))) % 1.54/1.75 (assume @p702 (forall (@list @t10 @t32 @t9 @t8 @t53) (or @t142 @t524))) % 1.54/1.75 (assume @p703 (forall @t128 (tptp.c_Fun_Oinj__on @t243 @t32 @t9 @t9))) % 1.54/1.75 (assume @p704 (forall @t18 (tptp.c_Fun_Oinj__on @t10 @t49 @t9 @t8))) % 1.54/1.75 (assume @p705 (forall @t676 (or @t675 @t481 @t70 @t181 @t259))) % 1.54/1.75 (assume @p706 (forall @t676 (or @t675 @t481 @t70 @t259 @t181))) % 1.54/1.75 (assume @p707 (forall (@list @t10 @t19 @t304 @t32 @t9 @t8) (or (not (= @t58 (tptp.hAPP @t10 @t304))) (not (tptp.hBOOL (tptp.c_in @t304 @t32 @t9))) @t70 @t259 (= @t19 @t304)))) % 1.54/1.75 (assume @p708 (forall @t676 (or @t675 @t259 @t181 @t481 @t70))) % 1.54/1.75 (assume @p709 (forall @t622 (or (not (= (tptp.hAPP @t42 (tptp.hAPP @t10 @t141)) @t141)) @t142))) % 1.54/1.75 (assume @p710 (forall @t386 (or @t282 @t288))) % 1.54/1.75 (assume @p711 (forall @t267 (or @t142 @t288))) % 1.54/1.75 (assume @p712 (forall @t267 (or @t142 @t264))) % 1.54/1.75 (assume @p713 (forall @t680 (or (tptp.c_Fun_Obij__betw (tptp.c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1 @t677 @t9) @t677 @t679 @t9 tptp.tc_nat) @t678))) % 1.54/1.75 (assume @p714 (forall @t680 (or (tptp.c_Fun_Obij__betw (tptp.c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1 @t677 @t9) @t679 @t677 tptp.tc_nat @t9) @t678))) % 1.54/1.75 (assume @p715 (forall (@list @t279 @t304 @t1) (or (tptp.hBOOL (tptp.hAPP @t279 @t304)) (not (tptp.hBOOL (tptp.c_in @t304 @t394 tptp.tc_nat))) (not (tptp.hBOOL (tptp.hAPP @t279 @t557)))))) % 1.54/1.75 (assume @p716 (forall @t397 (or (tptp.hBOOL (tptp.hAPP @t279 @t396)) @t366 @t395))) % 1.54/1.75 (assume @p717 (forall (@list @t93 @t91) (tptp.c_Finite__Set_Ofinite (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t93 @t91 tptp.tc_nat) tptp.tc_nat))) % 1.54/1.75 (assume @p718 (forall @t227 (or (tptp.c_HOL_Oord__class_Oless @t97 @t681 tptp.tc_nat) @t560))) % 1.54/1.75 (assume @p719 (forall (@list @t9 @t10 @t195) (or @t454 (not (= (tptp.hAPP @t10 @t97) @t76)) (= (tptp.c_Finite__Set_Osetsum @t10 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t98 @t195 tptp.tc_nat) tptp.tc_nat @t9) (tptp.c_Finite__Set_Osetsum @t10 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t97 @t195 tptp.tc_nat) tptp.tc_nat @t9))))) % 1.54/1.75 (assume @p720 (forall @t155 (or (tptp.c_lessequals @t154 @t153 @t61) @t407))) % 1.54/1.75 (assume @p721 (forall (@list @t10 @t21 @t209 @t9) (or (not (tptp.hBOOL (tptp.c_in @t674 @t684 @t9))) @t683 (= @t21 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t674 @t10 @t9 @t209))))) % 1.54/1.75 (assume @p722 (forall (@list @t55 @t10 @t8 @t9) (or (= @t55 (tptp.hAPP @t10 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t55 @t10 @t8 @t9))) (not (tptp.hBOOL (tptp.c_in @t55 @t685 @t8))) @t407))) % 1.54/1.75 (assume @p723 (forall (@list @t10 @t19 @t9 @t209) (or (not (= @t687 @t19)) @t683 @t686))) % 1.54/1.75 (assume @p724 (forall (@list @t279 @t19 @t10 @t9 @t8) (or @t365 (tptp.hBOOL (tptp.c_in @t662 @t685 @t8)) @t407))) % 1.54/1.75 (assume @p725 (forall @t688 (or @t683 @t686 (= @t58 (tptp.hAPP @t10 @t687))))) % 1.54/1.75 (assume @p726 (forall @t386 (or @t383 @t64 @t407))) % 1.54/1.75 (assume @p727 (forall (@list @t32 @t9 @t34 @t8 @t42 @t10) (or @t672 @t659 @t60 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t42 @t34 @t8 @t9) @t32 @t14)) (not (tptp.c_Fun_Oinj__on @t42 @t34 @t8 @t9)) @t658 @t259))) % 1.54/1.75 (assume @p728 @t690) % 1.54/1.75 (assume @p729 (forall @t168 (or @t588 @t587 @t586 @t166 @t691 @t99))) % 1.54/1.75 (assume @p730 (forall @t168 (or @t167 @t166 @t691 @t99))) % 1.54/1.75 (assume @p731 (forall @t84 (or @t588 @t587 @t586 @t166 (not (= (tptp.c_Power_Opower__class_Opower @t53 @t97 @t9) @t76))))) % 1.54/1.75 (assume @p732 (forall @t227 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t9)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t97 @t9) @t76)))) % 1.54/1.75 (assume @p733 (forall @t127 (or @t595 @t59))) % 1.54/1.75 (assume @p734 (forall @t227 (= @t298 @t97))) % 1.54/1.75 (assume @p735 (forall (@list @t183 @t9 @t8 @t32 @t182) (or (= (tptp.c_Set_Oimage @t183 @t15 @t9 @t8) @t32) @t184))) % 1.54/1.75 (assume @p736 (forall (@list @t182 @t32 @t8 @t9 @t183) (or (= (tptp.c_Set_Oimage @t182 @t32 @t8 @t9) @t15) @t184))) % 1.54/1.75 (assume @p737 (forall (@list @t10 @t42 @t143 @t9 @t8) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t10 @t42 @t143 @t9 @t8) @t568 @t8 @t9) (tptp.c_Set_Oimage @t10 (tptp.c_Set_Oimage @t42 @t568 @t8 @t143) @t143 @t9)))) % 1.54/1.75 (assume @p738 (forall @t18 (or (= @t685 @t568) @t12))) % 1.54/1.75 (assume @p739 (forall (@list @t10 @t19 @t8 @t9) (tptp.hBOOL (tptp.c_in @t58 @t608 @t9)))) % 1.54/1.75 (assume @p740 (forall @t116 (or (not (tptp.class_Orderings_Otop @t8)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t45) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t8))))) % 1.54/1.75 (assume @p741 (forall @t227 (or @t193 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t15 @t9) @t359)))) % 1.54/1.75 (assume @p742 (forall (@list @t32 @t8 @t10 @t9) (or @t452 (not (tptp.c_Fun_Oinj__on @t10 @t32 @t8 @t9)) (not (tptp.c_Finite__Set_Ofinite @t56 @t9))))) % 1.54/1.75 (assume @p743 (forall @t692 (or (= (tptp.c_Set_Oimage @t305 @t62 @t8 @t9) @t32) @t259))) % 1.54/1.75 (assume @p744 (forall @t432 (or @t259 (tptp.c_Fun_Obij__betw @t10 @t32 @t62 @t9 @t8)))) % 1.54/1.75 (assume @p745 (forall @t267 (or @t693 @t288 @t462))) % 1.54/1.75 (assume @p746 (forall @t692 (or (tptp.c_Fun_Oinj__on @t305 @t62 @t8 @t9) @t259))) % 1.54/1.75 (assume @p747 (forall (@list @t42 @t10 @t32 @t9 @t143 @t8) (or (tptp.c_Fun_Oinj__on @t42 (tptp.c_Set_Oimage @t10 @t32 @t9 @t143) @t143 @t8) (not (tptp.c_Fun_Oinj__on @t508 @t32 @t9 @t8))))) % 1.54/1.75 (assume @p748 (forall (@list @t42 @t10 @t8 @t143 @t9 @t32) (or (tptp.c_Fun_Oinj__on @t160 @t32 @t9 @t143) (not (tptp.c_Fun_Oinj__on @t42 @t62 @t8 @t143)) @t259))) % 1.54/1.75 (assume @p749 (forall @t127 (or (not (= @t276 @t681)) @t560 (= @t32 @t15)))) % 1.54/1.75 (assume @p750 (forall @t688 (or @t683 (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t682 @t10 @t209 @t9) @t58) @t19)))) % 1.54/1.75 (assume @p751 (forall @t694 (or (= (tptp.hAPP @t16 @t58) @t19) @t407))) % 1.54/1.75 (assume @p752 (forall (@list @t10 @t319 @t9 @t8 @t695) (or (not (= @t663 (tptp.c_List_Omap @t10 @t695 @t9 @t8))) @t407 @t696))) % 1.54/1.75 (assume @p753 (forall (@list @t10 @t319 @t8 @t9 @t695) (or (not (= (tptp.c_List_Omap @t10 @t319 @t8 @t9) (tptp.c_List_Omap @t10 @t695 @t8 @t9))) @t696 (not (tptp.c_Fun_Oinj__on @t10 @t568 @t8 @t9))))) % 1.54/1.75 (assume @p754 (forall @t18 (or @t406 @t151))) % 1.54/1.75 (assume @p755 (forall @t694 (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t15 @t10 @t9 @t8) @t58) @t19) @t407))) % 1.54/1.75 (assume @p756 (forall @t593 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t97 tptp.tc_nat) @t373))) % 1.54/1.75 (assume @p757 (forall @t100 (= @t394 (tptp.c_SetInterval_Oord__class_OlessThan @t1 tptp.tc_nat)))) % 1.54/1.75 (assume @p758 (forall @t262 (or @t697 @t232 @t407))) % 1.54/1.75 (assume @p759 (forall (@list @t53 @t32 @t9 @t10 @t8) (or @t231 (not @t697) @t407))) % 1.54/1.75 (assume @p760 (forall @t268 (or @t628 @t407))) % 1.54/1.75 (assume @p761 (forall @t432 (or (= (tptp.c_Set_Ovimage @t10 @t62 @t9 @t8) @t32) @t407))) % 1.54/1.75 (assume @p762 (forall @t267 (or @t598 @t105 @t407))) % 1.54/1.75 (assume @p763 (forall (@list @t32 @t34 @t9 @t10 @t8) (or @t103 (not @t598) @t407))) % 1.54/1.75 (assume @p764 (forall @t268 (or @t612 @t407))) % 1.54/1.75 (assume @p765 (forall (@list @t9 @t10 @t8 @t698) (or (= (tptp.c_Set_Oimage @t16 (tptp.c_Set_Oimage @t10 @t698 @t9 @t8) @t8 @t9) @t698) @t407))) % 1.54/1.75 (assume @p766 (forall @t531 (or (= (tptp.c_Set_Oimage @t16 @t62 @t8 @t9) @t32) @t407))) % 1.54/1.75 (assume @p767 (forall @t432 (or @t699 @t259 @t60))) % 1.54/1.75 (assume @p768 (forall @t432 (or (not @t699) @t60 @t142))) % 1.54/1.75 (assume @p769 (forall @t432 (or @t699 @t259))) % 1.54/1.75 (assume @p770 @t705) % 1.54/1.75 (assume @p771 (forall @t126 (tptp.hBOOL (tptp.hAPP @t15 @t19)))) % 1.54/1.75 (assume @p772 (forall @t267 (or @t693 @t407 @t462))) % 1.54/1.75 (assume @p773 (forall (@list @t10 @t19 @t21 @t9 @t8) (or @t675 @t407 @t181))) % 1.54/1.75 (assume @p774 (not tptp.v_thesis____)) % 1.54/1.75 (assume @p775 (forall @t709 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t708) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t706))))) % 1.54/1.75 (assume @p776 (forall @t709 (or (tptp.class_Lattices_Oupper__semilattice @t708) @t710))) % 1.54/1.75 (assume @p777 (forall @t709 (or (tptp.class_Lattices_Olower__semilattice @t708) @t710))) % 1.54/1.75 (assume @p778 (forall @t709 (or (tptp.class_Lattices_Odistrib__lattice @t708) (not (tptp.class_Lattices_Odistrib__lattice @t706))))) % 1.54/1.75 (assume @p779 (forall @t709 (or (tptp.class_Lattices_Obounded__lattice @t708) (not (tptp.class_Lattices_Obounded__lattice @t706))))) % 1.54/1.75 (assume @p780 (forall @t709 (or (tptp.class_Lattices_Oboolean__algebra @t708) (not (tptp.class_Lattices_Oboolean__algebra @t706))))) % 1.54/1.75 (assume @p781 (forall @t709 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t708) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t706)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t707))))) % 1.54/1.75 (assume @p782 (forall @t709 (or (tptp.class_Orderings_Opreorder @t708) (not (tptp.class_Orderings_Opreorder @t706))))) % 1.54/1.75 (assume @p783 (forall @t709 (or (tptp.class_Lattices_Olattice @t708) @t710))) % 1.54/1.75 (assume @p784 (forall @t709 (or (tptp.class_Orderings_Oorder @t708) (not (tptp.class_Orderings_Oorder @t706))))) % 1.54/1.75 (assume @p785 (forall @t709 (or (tptp.class_Orderings_Otop @t708) (not (tptp.class_Orderings_Otop @t706))))) % 1.54/1.75 (assume @p786 (forall @t709 (or (tptp.class_Orderings_Obot @t708) (not (tptp.class_Orderings_Obot @t706))))) % 1.54/1.75 (assume @p787 (forall @t709 (or (tptp.class_HOL_Ouminus @t708) (not (tptp.class_HOL_Ouminus @t706))))) % 1.54/1.75 (assume @p788 (forall @t709 (or (tptp.class_HOL_Ominus @t708) (not (tptp.class_HOL_Ominus @t706))))) % 1.54/1.75 (assume @p789 (forall @t709 (or (tptp.class_HOL_Oord @t708) (not (tptp.class_HOL_Oord @t706))))) % 1.54/1.75 (assume @p790 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.54/1.75 (assume @p791 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.54/1.75 (assume @p792 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.54/1.75 (assume @p793 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.54/1.75 (assume @p794 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.54/1.75 (assume @p795 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.54/1.75 (assume @p796 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.54/1.75 (assume @p797 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.54/1.75 (assume @p798 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.54/1.75 (assume @p799 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 1.54/1.75 (assume @p800 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.54/1.75 (assume @p801 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.54/1.75 (assume @p802 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.54/1.75 (assume @p803 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.54/1.75 (assume @p804 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.54/1.75 (assume @p805 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.54/1.75 (assume @p806 (tptp.class_Power_Opower tptp.tc_nat)) % 1.54/1.75 (assume @p807 (tptp.class_HOL_Ominus tptp.tc_nat)) % 1.54/1.75 (assume @p808 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.54/1.75 (assume @p809 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.54/1.75 (assume @p810 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.54/1.75 (assume @p811 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.54/1.75 (assume @p812 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.54/1.75 (assume @p813 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.54/1.75 (assume @p814 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 1.54/1.75 (assume @p815 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.54/1.75 (assume @p816 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.54/1.75 (assume @p817 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.54/1.75 (assume @p818 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.54/1.75 (assume @p819 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.54/1.75 (assume @p820 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.54/1.75 (assume @p821 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 1.54/1.75 (assume @p822 (tptp.class_HOL_Ominus tptp.tc_bool)) % 1.54/1.75 (assume @p823 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.54/1.75 (assume @p824 (forall @t300 (tptp.c_fequal @t19 @t19 @t9))) % 1.54/1.75 (assume @p825 (forall (@list @t698 @t441 @t9) (or (= @t698 @t441) (not (tptp.c_fequal @t698 @t441 @t9))))) % 1.54/1.75 (step @p826 :rule quant-miniscope-or :args ((= (forall @t704 @t713) (or tptp.v_thesis____ @t712)))) % 1.54/1.75 (step @p827 :rule aci_norm :args ((= @t703 @t713))) % 1.54/1.75 (step @p828 :rule cong :premises (@p827) :args (@t705)) % 1.54/1.75 (step @p829 :rule trans :premises (@p828 @p826)) % 1.54/1.75 (step @p830 :rule eq_resolve :premises (@p770 @p829)) % 1.54/1.75 (step @p831 :rule chain_m_resolution :premises (@p830 @p774) :args (@t712 (@list true) (@list tptp.v_thesis____))) % 1.54/1.75 (step @p832 :rule instantiate :premises (@p712) :args (@t715)) % 1.54/1.75 (step @p833 :rule instantiate :premises (@p713) :args ((@list @t689 tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 1.54/1.75 (step @p834 :rule cnf_or_pos :args (@t718)) % 1.54/1.75 (step @p835 :rule reordering :premises (@p834) :args ((or @t716 @t717 (not @t718)))) % 1.54/1.75 (step @p836 :rule chain_m_resolution :premises (@p835 @p728 @p833) :args (@t717 @t719 (@list @t690 @t718))) % 1.54/1.75 (step @p837 :rule cnf_or_pos :args (@t722)) % 1.54/1.75 (step @p838 :rule reordering :premises (@p837) :args ((or @t720 @t721 (not @t722)))) % 1.54/1.75 (step @p839 :rule chain_m_resolution :premises (@p838 @p836 @p832) :args (@t721 @t719 (@list @t717 @t722))) % 1.54/1.75 (step @p840 :rule refl :args (@t264)) % 1.54/1.75 (step @p841 :rule eq-symm :args (@t62 @t34)) % 1.54/1.75 (step @p842 :rule nary_cong :premises (@p841 @p840) :args (@t601)) % 1.54/1.75 (step @p843 :rule cong :premises (@p842) :args (@t602)) % 1.54/1.75 (step @p844 :rule eq_resolve :premises (@p532 @p843)) % 1.54/1.75 (step @p845 :rule instantiate :premises (@p844) :args (@t715)) % 1.54/1.75 (step @p846 :rule cnf_or_pos :args (@t725)) % 1.54/1.75 (step @p847 :rule reordering :premises (@p846) :args ((or @t720 @t724 (not @t725)))) % 1.54/1.75 (step @p848 :rule chain_m_resolution :premises (@p847 @p836 @p845) :args (@t724 @t719 (@list @t717 @t725))) % 1.54/1.75 (step @p849 :rule cnf_or_pos :args (@t728)) % 1.54/1.75 (step @p850 :rule reordering :premises (@p849) :args ((or @t727 @t726 @t729))) % 1.54/1.75 (step @p851 :rule chain_m_resolution :premises (@p850 @p848 @p839) :args (@t729 @t719 (@list @t724 @t721))) % 1.54/1.75 (step @p852 :rule refl :args (@t726)) % 1.54/1.75 (step @p853 :rule eq-symm :args (@t723 @t701)) % 1.54/1.75 (step @p854 :rule cong :premises (@p853) :args (@t730)) % 1.54/1.75 (step @p855 :rule nary_cong :premises (@p854 @p852) :args (@t731)) % 1.54/1.75 (step @p856 :rule refl :args (@t712)) % 1.54/1.75 (step @p857 :rule cong :premises (@p856 @p855) :args ((=> @t712 @t731))) % 1.54/1.75 (assume-push @p865 @t712) % 1.54/1.75 (step @p859 :rule instantiate :premises (@p831) :args ((@list @t714))) % 1.54/1.75 (step-pop @p866 :rule scope :premises (@p859)) % 1.54/1.75 (step @p860 :rule process_scope :premises (@p866) :args (@t731)) % 1.54/1.75 (step @p862 :rule eq_resolve :premises (@p860 @p857)) % 1.54/1.75 (step @p863 :rule implies_elim :premises (@p862)) % 1.54/1.75 (step @p864 false :rule chain_m_resolution :premises (@p863 @p851 @p831) :args (false (@list true false) (@list @t728 @t712))) % 1.54/1.75 ) % 1.54/1.75 % SZS output end Proof % 1.54/1.75 % cvc5 exiting %------------------------------------------------------------------------------