%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV885-1 : 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 : n024.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 09:02:33 AM UTC 2026 % Result : Unsatisfiable 0.92s 1.15s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV885-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:20:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.24/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.24/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.92/1.15 % SZS status Unsatisfiable % 0.92/1.15 % SZS output start Proof % 0.92/1.18 ( % 0.92/1.18 (declare-sort $$unsorted 0) % 0.92/1.18 (declare-const tptp.v_G $$unsorted) % 0.92/1.18 (declare-const tptp.v_mgt__call $$unsorted) % 0.92/1.18 (declare-const tptp.t_a $$unsorted) % 0.92/1.18 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.v_na $$unsorted) % 0.92/1.18 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__XimageE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_SetInterval_Oord__class_OatLeast (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1 (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.v_pn $$unsorted) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1 (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.tc_nat $$unsorted) % 0.92/1.18 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1 (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.v_U $$unsorted) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.tc_bool $$unsorted) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Odvd (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.92/1.18 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.92/1.18 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.92/1.18 (define @t1 () (@var "V_m" $$unsorted)) % 0.92/1.18 (define @t2 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.92/1.18 (define @t3 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.92/1.18 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t5 () (not @t4)) % 0.92/1.18 (define @t6 () (@list @t1)) % 0.92/1.18 (define @t7 () (tptp.c_Suc @t3)) % 0.92/1.18 (define @t8 () (@var "V_n" $$unsorted)) % 0.92/1.18 (define @t9 () (= @t8 @t3)) % 0.92/1.18 (define @t10 () (@list @t8)) % 0.92/1.18 (define @t11 () (@var "T_a" $$unsorted)) % 0.92/1.18 (define @t12 () (@var "V_a" $$unsorted)) % 0.92/1.18 (define @t13 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t12 @t11)) % 0.92/1.18 (define @t14 () (tptp.c_HOL_Ozero__class_Ozero @t11)) % 0.92/1.18 (define @t15 () (tptp.c_lessequals @t14 @t13 @t11)) % 0.92/1.18 (define @t16 () (tptp.c_lessequals @t14 @t12 @t11)) % 0.92/1.18 (define @t17 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t11))) % 0.92/1.18 (define @t18 () (@list @t11 @t12)) % 0.92/1.18 (define @t19 () (not @t16)) % 0.92/1.18 (define @t20 () (@var "V_k" $$unsorted)) % 0.92/1.18 (define @t21 () (tptp.c_HOL_Oord__class_Oless @t3 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t22 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t23 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t24 () (tptp.c_lessequals @t23 @t22 tptp.tc_nat)) % 0.92/1.18 (define @t25 () (@list @t1 @t20 @t8)) % 0.92/1.18 (define @t26 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t27 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t28 () (tptp.c_lessequals @t27 @t26 tptp.tc_nat)) % 0.92/1.18 (define @t29 () (@list @t20 @t1 @t8)) % 0.92/1.18 (define @t30 () (@var "V_A" $$unsorted)) % 0.92/1.18 (define @t31 () (tptp.tc_fun @t11 tptp.tc_bool)) % 0.92/1.18 (define @t32 () (@var "V_B" $$unsorted)) % 0.92/1.18 (define @t33 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t32 @t31)) % 0.92/1.18 (define @t34 () (tptp.c_Orderings_Obot__class_Obot @t31)) % 0.92/1.18 (define @t35 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t32 @t31)) % 0.92/1.18 (define @t36 () (not (= @t35 @t34))) % 0.92/1.18 (define @t37 () (@list @t30 @t32 @t11)) % 0.92/1.18 (define @t38 () (@var "V_x" $$unsorted)) % 0.92/1.18 (define @t39 () (@var "V_y" $$unsorted)) % 0.92/1.18 (define @t40 () (tptp.c_HOL_Otimes__class_Otimes @t39 @t38 @t11)) % 0.92/1.18 (define @t41 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t39 @t11)) % 0.92/1.18 (define @t42 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t11))) % 0.92/1.18 (define @t43 () (@list @t11 @t38 @t39)) % 0.92/1.18 (define @t44 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t45 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t46 () (@list @t1 @t8)) % 0.92/1.18 (define @t47 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t14 @t11) @t14)) % 0.92/1.18 (define @t48 () (@list @t11)) % 0.92/1.18 (define @t49 () (not (tptp.c_lessequals @t14 @t14 @t11))) % 0.92/1.18 (define @t50 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t11))) % 0.92/1.18 (define @t51 () (@var "V_b" $$unsorted)) % 0.92/1.18 (define @t52 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t12 @t11)) % 0.92/1.18 (define @t53 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t51 @t11)) % 0.92/1.18 (define @t54 () (@list @t11 @t12 @t51)) % 0.92/1.18 (define @t55 () (@var "V_c" $$unsorted)) % 0.92/1.18 (define @t56 () (tptp.c_Divides_Odiv__class_Omod @t51 @t55 @t11)) % 0.92/1.18 (define @t57 () (tptp.c_Divides_Odiv__class_Omod @t12 @t55 @t11)) % 0.92/1.18 (define @t58 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t51 @t11)) % 0.92/1.18 (define @t59 () (tptp.c_Divides_Odiv__class_Omod @t58 @t55 @t11)) % 0.92/1.18 (define @t60 () (not (tptp.class_Divides_Osemiring__div @t11))) % 0.92/1.18 (define @t61 () (@list @t11 @t12 @t51 @t55)) % 0.92/1.18 (define @t62 () (tptp.c_lessequals @t14 @t51 @t11)) % 0.92/1.18 (define @t63 () (not @t62)) % 0.92/1.18 (define @t64 () (@var "V_F" $$unsorted)) % 0.92/1.18 (define @t65 () (not (tptp.c_Finite__Set_Ofinite @t64 @t11))) % 0.92/1.18 (define @t66 () (@var "T_b" $$unsorted)) % 0.92/1.18 (define @t67 () (tptp.tc_fun @t66 tptp.tc_bool)) % 0.92/1.18 (define @t68 () (tptp.c_Orderings_Otop__class_Otop @t67)) % 0.92/1.18 (define @t69 () (@var "V_h" $$unsorted)) % 0.92/1.18 (define @t70 () (= @t1 @t3)) % 0.92/1.18 (define @t71 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat)) % 0.92/1.18 (define @t72 () (tptp.c_HOL_Oord__class_Oless @t38 @t39 @t11)) % 0.92/1.18 (define @t73 () (not @t72)) % 0.92/1.18 (define @t74 () (@var "V_z" $$unsorted)) % 0.92/1.18 (define @t75 () (not (tptp.c_HOL_Oord__class_Oless @t39 @t74 @t11))) % 0.92/1.18 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t38 @t74 @t11)) % 0.92/1.18 (define @t77 () (not (tptp.class_Orderings_Opreorder @t11))) % 0.92/1.18 (define @t78 () (@list @t11 @t38 @t74 @t39)) % 0.92/1.18 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t30 @t32 @t31)) % 0.92/1.18 (define @t80 () (not @t79)) % 0.92/1.18 (define @t81 () (@var "V_C" $$unsorted)) % 0.92/1.18 (define @t82 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t81 @t31))) % 0.92/1.18 (define @t83 () (tptp.c_HOL_Oord__class_Oless @t30 @t81 @t31)) % 0.92/1.18 (define @t84 () (@list @t30 @t81 @t11 @t32)) % 0.92/1.18 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t39 @t38 @t11)) % 0.92/1.18 (define @t86 () (not @t85)) % 0.92/1.18 (define @t87 () (not (tptp.c_HOL_Oord__class_Oless @t74 @t39 @t11))) % 0.92/1.18 (define @t88 () (tptp.c_HOL_Oord__class_Oless @t74 @t38 @t11)) % 0.92/1.18 (define @t89 () (not (tptp.class_Orderings_Oorder @t11))) % 0.92/1.18 (define @t90 () (@list @t11 @t74 @t38 @t39)) % 0.92/1.18 (define @t91 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t39 @t11)) % 0.92/1.18 (define @t92 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t74 @t11)) % 0.92/1.18 (define @t93 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t92 @t11)) % 0.92/1.18 (define @t94 () (@list @t11 @t38 @t39 @t74)) % 0.92/1.18 (define @t95 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t74 @t11)) % 0.92/1.18 (define @t96 () (not (tptp.class_OrderedGroup_Oab__group__add @t11))) % 0.92/1.18 (define @t97 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t74 tptp.tc_nat)) % 0.92/1.18 (define @t98 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t74 tptp.tc_nat)) % 0.92/1.18 (define @t99 () (@list @t38 @t39 @t74)) % 0.92/1.18 (define @t100 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t101 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t102 () (@list @t1 @t8 @t20)) % 0.92/1.18 (define @t103 () (tptp.c_HOL_Oplus__class_Oplus @t51 @t55 @t11)) % 0.92/1.18 (define @t104 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t103 @t11)) % 0.92/1.18 (define @t105 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t55 @t11)) % 0.92/1.18 (define @t106 () (= @t105 @t104)) % 0.92/1.18 (define @t107 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t11))) % 0.92/1.18 (define @t108 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t55 @t11)) % 0.92/1.18 (define @t109 () (@var "V_d" $$unsorted)) % 0.92/1.18 (define @t110 () (tptp.c_HOL_Oplus__class_Oplus @t55 @t109 @t11)) % 0.92/1.18 (define @t111 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t110 @t11)) % 0.92/1.18 (define @t112 () (@list @t11 @t12 @t55 @t109)) % 0.92/1.18 (define @t113 () (tptp.c_HOL_Oord__class_Oless @t3 @t101 tptp.tc_nat)) % 0.92/1.18 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t3 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t115 () (@list @t8 @t1)) % 0.92/1.18 (define @t116 () (@var "V_u" $$unsorted)) % 0.92/1.18 (define @t117 () (not @t114)) % 0.92/1.18 (define @t118 () (tptp.c_Divides_Odiv__class_Omod @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t119 () (= (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t55 @t11) @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t58 @t108 @t11))) % 0.92/1.18 (define @t120 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t11))) % 0.92/1.18 (define @t121 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t51 @t11)) % 0.92/1.18 (define @t122 () (= (tptp.c_HOL_Oplus__class_Oplus @t121 @t55 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t108 @t103 @t11))) % 0.92/1.18 (define @t123 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 @t39 tptp.tc_nat))) % 0.92/1.18 (define @t124 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t39 @t38 tptp.tc_nat)) % 0.92/1.18 (define @t125 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t39 @t74 tptp.tc_nat))) % 0.92/1.18 (define @t126 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t74 @t39 tptp.tc_nat)) % 0.92/1.18 (define @t127 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t74 @t38 tptp.tc_nat))) % 0.92/1.18 (define @t128 () (@list @t74 @t38 @t39)) % 0.92/1.18 (define @t129 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t57 @t51 @t11) @t55 @t11)) % 0.92/1.18 (define @t130 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t12 @t56 @t11) @t55 @t11)) % 0.92/1.18 (define @t131 () (= @t8 @t2)) % 0.92/1.18 (define @t132 () (not (= @t45 @t2))) % 0.92/1.18 (define @t133 () (= @t1 @t2)) % 0.92/1.18 (define @t134 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t7 tptp.tc_nat)) % 0.92/1.18 (define @t135 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t55 @t11))) % 0.92/1.18 (define @t136 () (tptp.c_HOL_Oord__class_Oless @t51 @t108 @t11)) % 0.92/1.18 (define @t137 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t11))) % 0.92/1.18 (define @t138 () (@list @t11 @t51 @t12 @t55)) % 0.92/1.18 (define @t139 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t140 () (tptp.c_HOL_Oone__class_Oone @t11)) % 0.92/1.18 (define @t141 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t11))) % 0.92/1.18 (define @t142 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t11))) % 0.92/1.18 (define @t143 () (= @t1 @t8)) % 0.92/1.18 (define @t144 () (not @t21)) % 0.92/1.18 (define @t145 () (not (= @t27 @t26))) % 0.92/1.18 (define @t146 () (= @t8 @t7)) % 0.92/1.18 (define @t147 () (not (= @t7 @t101))) % 0.92/1.18 (define @t148 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t74 @t11)) % 0.92/1.18 (define @t149 () (tptp.c_HOL_Oplus__class_Oplus @t41 @t148 @t11)) % 0.92/1.18 (define @t150 () (not (tptp.class_Int_Onumber__ring @t11))) % 0.92/1.18 (define @t151 () (not (tptp.class_Ring__and__Field_Oidom @t11))) % 0.92/1.18 (define @t152 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t55 @t11)) % 0.92/1.18 (define @t153 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t109 @t11)) % 0.92/1.18 (define @t154 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t55 tptp.tc_nat)) % 0.92/1.18 (define @t155 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t109 tptp.tc_nat)) % 0.92/1.18 (define @t156 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t39 tptp.tc_nat)) % 0.92/1.18 (define @t157 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t74 tptp.tc_nat)) % 0.92/1.18 (define @t158 () (tptp.c_Suc @t8)) % 0.92/1.18 (define @t159 () (tptp.c_Divides_Odiv__class_Omod @t12 @t51 @t11)) % 0.92/1.18 (define @t160 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t3 tptp.tc_nat)) % 0.92/1.18 (define @t161 () (not (tptp.class_Ring__and__Field_Odvd @t11))) % 0.92/1.18 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t14 @t12 @t11)) % 0.92/1.18 (define @t163 () (not @t162)) % 0.92/1.18 (define @t164 () (not (tptp.c_lessequals @t51 @t55 @t11))) % 0.92/1.18 (define @t165 () (= (tptp.c_HOL_Otimes__class_Otimes @t140 @t12 @t11) @t12)) % 0.92/1.18 (define @t166 () (= (tptp.c_HOL_Otimes__class_Otimes @t12 @t140 @t11) @t12)) % 0.92/1.18 (define @t167 () (not (tptp.class_OrderedGroup_Omonoid__mult @t11))) % 0.92/1.18 (define @t168 () (@list @t11 @t38)) % 0.92/1.18 (define @t169 () (tptp.c_Set_Oinsert @t38 @t32 @t11)) % 0.92/1.18 (define @t170 () (tptp.c_HOL_Oord__class_Oless @t30 @t169 @t31)) % 0.92/1.18 (define @t171 () (not @t170)) % 0.92/1.18 (define @t172 () (tptp.c_in @t38 @t32 @t11)) % 0.92/1.18 (define @t173 () (tptp.c_in @t38 @t30 @t11)) % 0.92/1.18 (define @t174 () (not @t173)) % 0.92/1.18 (define @t175 () (tptp.c_Set_Oinsert @t38 @t34 @t11)) % 0.92/1.18 (define @t176 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t175 @t31)) % 0.92/1.18 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t176 @t32 @t31)) % 0.92/1.18 (define @t178 () (@list @t30 @t38 @t11 @t32)) % 0.92/1.18 (define @t179 () (not @t177)) % 0.92/1.18 (define @t180 () (@list @t30 @t38 @t32 @t11)) % 0.92/1.18 (define @t181 () (@var "V_e" $$unsorted)) % 0.92/1.18 (define @t182 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t51 @t11)) % 0.92/1.18 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t182 @t181 @t11) @t55 @t11)) % 0.92/1.18 (define @t184 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t181 @t11)) % 0.92/1.18 (define @t185 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t181 @t11)) % 0.92/1.18 (define @t186 () (tptp.c_HOL_Oplus__class_Oplus @t185 @t55 @t11)) % 0.92/1.18 (define @t187 () (not (tptp.class_Ring__and__Field_Oring @t11))) % 0.92/1.18 (define @t188 () (@var "V_f" $$unsorted)) % 0.92/1.18 (define @t189 () (tptp.c_Fun_Oinj__on @t188 @t30 @t11 @t66)) % 0.92/1.18 (define @t190 () (not @t189)) % 0.92/1.18 (define @t191 () (@list @t188 @t30 @t32 @t11 @t66)) % 0.92/1.18 (define @t192 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t51 @t11)) % 0.92/1.18 (define @t193 () (not @t192)) % 0.92/1.18 (define @t194 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t55 @t11)) % 0.92/1.18 (define @t195 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t55 @t11)) % 0.92/1.18 (define @t196 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t195 @t194 @t11)) % 0.92/1.18 (define @t197 () (@list @t11 @t12 @t55 @t51)) % 0.92/1.18 (define @t198 () (tptp.c_HOL_Otimes__class_Otimes @t55 @t51 @t11)) % 0.92/1.18 (define @t199 () (tptp.c_HOL_Otimes__class_Otimes @t55 @t12 @t11)) % 0.92/1.18 (define @t200 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t199 @t198 @t11)) % 0.92/1.18 (define @t201 () (@list @t11 @t55 @t12 @t51)) % 0.92/1.18 (define @t202 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t203 () (not @t202)) % 0.92/1.18 (define @t204 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t26 tptp.tc_nat)) % 0.92/1.18 (define @t205 () (tptp.c_Divides_Odiv__class_Omod @t53 @t55 @t11)) % 0.92/1.18 (define @t206 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t57 @t51 @t11) @t55 @t11)) % 0.92/1.18 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t12 @t51 @t11)) % 0.92/1.18 (define @t208 () (not @t207)) % 0.92/1.18 (define @t209 () (not (tptp.c_HOL_Oord__class_Oless @t55 @t109 @t11))) % 0.92/1.18 (define @t210 () (tptp.c_HOL_Oord__class_Oless @t14 @t51 @t11)) % 0.92/1.18 (define @t211 () (not @t210)) % 0.92/1.18 (define @t212 () (not (tptp.c_lessequals @t14 @t55 @t11))) % 0.92/1.18 (define @t213 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t109 @t11)) % 0.92/1.18 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t195 @t213 @t11)) % 0.92/1.18 (define @t215 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t11))) % 0.92/1.18 (define @t216 () (@list @t11 @t12 @t55 @t51 @t109)) % 0.92/1.18 (define @t217 () (tptp.c_Set_Ovimage @t188 @t32 @t11 @t66)) % 0.92/1.18 (define @t218 () (tptp.c_Set_Ovimage @t188 @t30 @t11 @t66)) % 0.92/1.18 (define @t219 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t32 @t67)) % 0.92/1.18 (define @t220 () (@list @t188 @t30 @t32 @t66 @t11)) % 0.92/1.18 (define @t221 () (tptp.c_HOL_Oplus__class_Oplus @t184 @t109 @t11)) % 0.92/1.18 (define @t222 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t51 @t12 @t11) @t181 @t11) @t109 @t11)) % 0.92/1.18 (define @t223 () (@var "V_i" $$unsorted)) % 0.92/1.18 (define @t224 () (@var "V_j" $$unsorted)) % 0.92/1.18 (define @t225 () (not (tptp.c_lessequals @t224 @t223 tptp.tc_nat))) % 0.92/1.18 (define @t226 () (tptp.c_HOL_Otimes__class_Otimes @t224 @t116 tptp.tc_nat)) % 0.92/1.18 (define @t227 () (tptp.c_HOL_Oplus__class_Oplus @t226 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t228 () (tptp.c_HOL_Otimes__class_Otimes @t223 @t116 tptp.tc_nat)) % 0.92/1.18 (define @t229 () (tptp.c_HOL_Oplus__class_Oplus @t228 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t229 @t227 tptp.tc_nat)) % 0.92/1.18 (define @t231 () (not @t230)) % 0.92/1.18 (define @t232 () (tptp.c_HOL_Ominus__class_Ominus @t223 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t233 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t232 @t116 tptp.tc_nat) @t1 tptp.tc_nat)) % 0.92/1.18 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t233 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t235 () (@list @t223 @t224 @t116 @t1 @t8)) % 0.92/1.18 (define @t236 () (@list @t223 @t116 @t1 @t224 @t8)) % 0.92/1.18 (define @t237 () (not (tptp.c_lessequals @t223 @t224 tptp.tc_nat))) % 0.92/1.18 (define @t238 () (tptp.c_HOL_Ominus__class_Ominus @t224 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t239 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t238 @t116 tptp.tc_nat) @t8 tptp.tc_nat)) % 0.92/1.18 (define @t240 () (tptp.c_HOL_Oord__class_Oless @t1 @t239 tptp.tc_nat)) % 0.92/1.18 (define @t241 () (@list @t1 @t224 @t223 @t116 @t8)) % 0.92/1.18 (define @t242 () (not (= @t186 @t221))) % 0.92/1.18 (define @t243 () (@list @t11 @t12 @t181 @t55 @t51 @t109)) % 0.92/1.18 (define @t244 () (@list @t223 @t1)) % 0.92/1.18 (define @t245 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t38 tptp.tc_nat)) % 0.92/1.18 (define @t246 () (@list @t1 @t38)) % 0.92/1.18 (define @t247 () (tptp.c_Orderings_Otop__class_Otop @t31)) % 0.92/1.18 (define @t248 () (not (tptp.c_Fun_Oinj__on @t188 @t247 @t11 @t66))) % 0.92/1.18 (define @t249 () (tptp.c_Set_Oimage @t188 @t30 @t11 @t66)) % 0.92/1.18 (define @t250 () (@list @t188 @t30 @t11 @t66)) % 0.92/1.18 (define @t251 () (@list @t188 @t66 @t11)) % 0.92/1.18 (define @t252 () (tptp.c_Set_Oinsert @t12 @t34 @t11)) % 0.92/1.18 (define @t253 () (tptp.c_Set_Oinsert @t12 @t32 @t11)) % 0.92/1.18 (define @t254 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t253 @t31)) % 0.92/1.18 (define @t255 () (@list @t30 @t12 @t32 @t11)) % 0.92/1.18 (define @t256 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t252 @t31)) % 0.92/1.18 (define @t257 () (tptp.c_lessequals @t51 @t108 @t11)) % 0.92/1.18 (define @t258 () (tptp.c_lessequals @t51 @t12 @t11)) % 0.92/1.18 (define @t259 () (not @t258)) % 0.92/1.18 (define @t260 () (tptp.c_HOL_Oord__class_Oless @t38 @t39 tptp.tc_nat)) % 0.92/1.18 (define @t261 () (not @t260)) % 0.92/1.18 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t38 @t98 tptp.tc_nat)) % 0.92/1.18 (define @t263 () (tptp.c_HOL_Oplus__class_Oplus @t223 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t264 () (@list @t223 @t20 @t224)) % 0.92/1.18 (define @t265 () (not (tptp.c_HOL_Oord__class_Oless @t223 @t224 tptp.tc_nat))) % 0.92/1.18 (define @t266 () (tptp.c_HOL_Oplus__class_Oplus @t224 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t267 () (@list @t223 @t224 @t1)) % 0.92/1.18 (define @t268 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t269 () (@list @t223 @t1 @t224)) % 0.92/1.18 (define @t270 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 (tptp.c_Divides_Odiv__class_Omod @t1 @t8 @t11) @t11)) % 0.92/1.18 (define @t271 () (not @t270)) % 0.92/1.18 (define @t272 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t8 @t11))) % 0.92/1.18 (define @t273 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t1 @t11)) % 0.92/1.18 (define @t274 () (@list @t11 @t20 @t1 @t8)) % 0.92/1.18 (define @t275 () (not @t273)) % 0.92/1.18 (define @t276 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 tptp.tc_nat)) % 0.92/1.18 (define @t277 () (tptp.hAPP @t188 @t38)) % 0.92/1.18 (define @t278 () (tptp.c_Hilbert__Choice_Oinv__into @t30 @t188 @t11 @t66)) % 0.92/1.18 (define @t279 () (@var "T_aa" $$unsorted)) % 0.92/1.18 (define @t280 () (not (tptp.c_in @t38 @t30 @t279))) % 0.92/1.18 (define @t281 () (@list @t38 @t30 @t279 @t188 @t11)) % 0.92/1.18 (define @t282 () (tptp.c_HOL_Otimes__class_Otimes @t38 @t38 @t11)) % 0.92/1.18 (define @t283 () (tptp.c_HOL_Oplus__class_Oplus @t282 (tptp.c_HOL_Otimes__class_Otimes @t39 @t39 @t11) @t11)) % 0.92/1.18 (define @t284 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t11))) % 0.92/1.18 (define @t285 () (tptp.c_Orderings_Obot__class_Obot @t11)) % 0.92/1.18 (define @t286 () (not (tptp.class_Lattices_Obounded__lattice @t11))) % 0.92/1.18 (define @t287 () (@list @t11 @t32)) % 0.92/1.18 (define @t288 () (@list @t30 @t11)) % 0.92/1.18 (define @t289 () (tptp.c_HOL_Oplus__class_Oplus @t55 @t12 @t11)) % 0.92/1.18 (define @t290 () (tptp.c_HOL_Oplus__class_Oplus @t51 @t12 @t11)) % 0.92/1.18 (define @t291 () (tptp.c_HOL_Oord__class_Oless @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t292 () (@var "V_l" $$unsorted)) % 0.92/1.18 (define @t293 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t292 tptp.tc_nat))) % 0.92/1.18 (define @t294 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t295 () (= @t1 @t7)) % 0.92/1.18 (define @t296 () (not (= @t45 @t7))) % 0.92/1.18 (define @t297 () (tptp.c_Finite__Set_Ocard @t30 @t11)) % 0.92/1.18 (define @t298 () (not (= @t297 @t7))) % 0.92/1.18 (define @t299 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t11)) % 0.92/1.18 (define @t300 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t11)) % 0.92/1.18 (define @t301 () (@list @t11 @t1 @t8)) % 0.92/1.18 (define @t302 () (= @t12 @t14)) % 0.92/1.18 (define @t303 () (tptp.c_Set_Oimage @t188 @t32 @t11 @t66)) % 0.92/1.18 (define @t304 () (= (tptp.c_Set_Oimage @t188 @t35 @t11 @t66) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t249 @t303 @t67))) % 0.92/1.18 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t195 @t194 @t11)) % 0.92/1.18 (define @t306 () (not @t305)) % 0.92/1.18 (define @t307 () (tptp.c_HOL_Oord__class_Oless @t199 @t198 @t11)) % 0.92/1.18 (define @t308 () (not @t307)) % 0.92/1.18 (define @t309 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t11))) % 0.92/1.18 (define @t310 () (= @t20 @t3)) % 0.92/1.18 (define @t311 () (tptp.c_HOL_Oplus__class_Oplus @t140 @t140 @t11)) % 0.92/1.18 (define @t312 () (@list @t11 @t1)) % 0.92/1.18 (define @t313 () (= @t39 @t14)) % 0.92/1.18 (define @t314 () (not (tptp.c_lessequals @t14 @t38 @t11))) % 0.92/1.18 (define @t315 () (not (tptp.c_lessequals @t14 @t39 @t11))) % 0.92/1.18 (define @t316 () (not (= @t91 @t14))) % 0.92/1.18 (define @t317 () (= @t38 @t14)) % 0.92/1.18 (define @t318 () (not (= @t101 @t3))) % 0.92/1.18 (define @t319 () (tptp.c_HOL_Oord__class_Oless @t55 @t222 @t11)) % 0.92/1.18 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t186 @t221 @t11)) % 0.92/1.18 (define @t321 () (not (tptp.class_Ring__and__Field_Opordered__ring @t11))) % 0.92/1.18 (define @t322 () (not (tptp.class_Orderings_Olinorder @t11))) % 0.92/1.18 (define @t323 () (tptp.c_HOL_Oord__class_Oless @t23 @t22 tptp.tc_nat)) % 0.92/1.18 (define @t324 () (not @t323)) % 0.92/1.18 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t27 @t26 tptp.tc_nat)) % 0.92/1.18 (define @t326 () (not @t325)) % 0.92/1.18 (define @t327 () (tptp.c_Suc @t1)) % 0.92/1.18 (define @t328 () (tptp.c_lessequals @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t329 () (not @t28)) % 0.92/1.18 (define @t330 () (not @t328)) % 0.92/1.18 (define @t331 () (tptp.c_HOL_Oord__class_Oless @t55 @t14 @t11)) % 0.92/1.18 (define @t332 () (not @t331)) % 0.92/1.18 (define @t333 () (tptp.c_lessequals @t199 @t198 @t11)) % 0.92/1.18 (define @t334 () (not @t333)) % 0.92/1.18 (define @t335 () (tptp.c_HOL_Oord__class_Oless @t14 @t55 @t11)) % 0.92/1.18 (define @t336 () (not @t335)) % 0.92/1.18 (define @t337 () (tptp.c_lessequals @t12 @t51 @t11)) % 0.92/1.18 (define @t338 () (not @t337)) % 0.92/1.18 (define @t339 () (tptp.c_lessequals @t195 @t194 @t11)) % 0.92/1.18 (define @t340 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t8 tptp.tc_nat))) % 0.92/1.18 (define @t341 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t1 tptp.tc_nat))) % 0.92/1.18 (define @t342 () (tptp.c_Suc @t38)) % 0.92/1.18 (define @t343 () (@list @t38)) % 0.92/1.18 (define @t344 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t39 @t11)) % 0.92/1.18 (define @t345 () (= @t344 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t38 @t11))) % 0.92/1.18 (define @t346 () (not (tptp.class_Lattices_Olower__semilattice @t11))) % 0.92/1.18 (define @t347 () (not (tptp.class_Lattices_Olattice @t11))) % 0.92/1.18 (define @t348 () (tptp.c_Set_Oinsert @t12 @t30 @t11)) % 0.92/1.18 (define @t349 () (tptp.c_Set_Oinsert @t12 @t256 @t11)) % 0.92/1.18 (define @t350 () (@list @t12 @t30 @t11)) % 0.92/1.18 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t3 @t45 tptp.tc_nat)) % 0.92/1.18 (define @t352 () (not @t351)) % 0.92/1.18 (define @t353 () (tptp.c_HOL_Oord__class_Oless @t12 @t14 @t11)) % 0.92/1.18 (define @t354 () (not @t353)) % 0.92/1.18 (define @t355 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t14 @t11))) % 0.92/1.18 (define @t356 () (tptp.c_HOL_Oord__class_Oless @t58 @t14 @t11)) % 0.92/1.18 (define @t357 () (not (tptp.c_lessequals @t283 @t14 @t11))) % 0.92/1.18 (define @t358 () (@list @t11 @t39 @t38)) % 0.92/1.18 (define @t359 () (= (tptp.c_Divides_Odiv__class_Omod @t51 @t12 @t11) @t14)) % 0.92/1.18 (define @t360 () (@list @t11 @t51 @t12)) % 0.92/1.18 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t14 @t58 @t11)) % 0.92/1.18 (define @t362 () (tptp.c_lessequals @t51 @t14 @t11)) % 0.92/1.18 (define @t363 () (not @t362)) % 0.92/1.18 (define @t364 () (tptp.c_lessequals @t53 @t14 @t11)) % 0.92/1.18 (define @t365 () (tptp.c_lessequals @t12 @t14 @t11)) % 0.92/1.18 (define @t366 () (not @t365)) % 0.92/1.18 (define @t367 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t11))) % 0.92/1.18 (define @t368 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t12 @t11)) % 0.92/1.18 (define @t369 () (= (tptp.c_Set_Oimage @t188 @t33 @t11 @t66) (tptp.c_HOL_Ominus__class_Ominus @t249 @t303 @t67))) % 0.92/1.18 (define @t370 () (not @t291)) % 0.92/1.18 (define @t371 () (tptp.c_Suc @t20)) % 0.92/1.18 (define @t372 () (tptp.c_HOL_Otimes__class_Otimes @t371 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t373 () (tptp.c_HOL_Otimes__class_Otimes @t371 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t374 () (tptp.c_HOL_Oord__class_Oless @t373 @t372 tptp.tc_nat)) % 0.92/1.18 (define @t375 () (= @t39 @t74)) % 0.92/1.18 (define @t376 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t377 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t378 () (= @t51 @t55)) % 0.92/1.18 (define @t379 () (not (= @t58 @t108))) % 0.92/1.18 (define @t380 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t11))) % 0.92/1.18 (define @t381 () (not (tptp.c_lessequals @t39 @t140 @t11))) % 0.92/1.18 (define @t382 () (not (tptp.class_Ring__and__Field_Oordered__idom @t11))) % 0.92/1.18 (define @t383 () (tptp.c_Divides_Odiv__class_Omod @t327 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t384 () (tptp.c_Suc @t118)) % 0.92/1.18 (define @t385 () (= @t384 @t8)) % 0.92/1.18 (define @t386 () (not (= @t101 @t7))) % 0.92/1.18 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t14 @t283 @t11)) % 0.92/1.18 (define @t388 () (tptp.c_HOL_Oplus__class_Oplus @t51 @t109 @t11)) % 0.92/1.18 (define @t389 () (tptp.c_lessequals @t30 @t32 @t31)) % 0.92/1.18 (define @t390 () (not @t389)) % 0.92/1.18 (define @t391 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t11))) % 0.92/1.18 (define @t392 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t55 @t11)) % 0.92/1.18 (define @t393 () (not @t392)) % 0.92/1.18 (define @t394 () (@var "V_X" $$unsorted)) % 0.92/1.18 (define @t395 () (tptp.c_Hilbert__Choice_Oinv__into @t247 @t188 @t11 @t66)) % 0.92/1.18 (define @t396 () (tptp.c_HOL_Oord__class_Oless @t51 @t12 @t11)) % 0.92/1.18 (define @t397 () (tptp.c_Finite__Set_Ocard @t34 @t11)) % 0.92/1.18 (define @t398 () (@var "V_P" $$unsorted)) % 0.92/1.18 (define @t399 () (tptp.c_ATP__Linkup_Osko__Nat__Xfull__nat__induct__1__1 @t398)) % 0.92/1.18 (define @t400 () (tptp.hAPP @t398 @t8)) % 0.92/1.18 (define @t401 () (tptp.hBOOL @t400)) % 0.92/1.18 (define @t402 () (@list @t398 @t8)) % 0.92/1.18 (define @t403 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t404 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t405 () (@list @t20 @t223 @t224)) % 0.92/1.18 (define @t406 () (tptp.c_HOL_Otimes__class_Otimes @t224 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t407 () (tptp.c_HOL_Otimes__class_Otimes @t223 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t408 () (not @t396)) % 0.92/1.18 (define @t409 () (not @t320)) % 0.92/1.18 (define @t410 () (@list @t11 @t55 @t51 @t12 @t181 @t109)) % 0.92/1.18 (define @t411 () (tptp.c_HOL_Oord__class_Oless @t183 @t109 @t11)) % 0.92/1.18 (define @t412 () (@list @t11 @t12 @t51 @t181 @t55 @t109)) % 0.92/1.18 (define @t413 () (= @t51 @t14)) % 0.92/1.18 (define @t414 () (not (= @t53 @t14))) % 0.92/1.18 (define @t415 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t11))) % 0.92/1.18 (define @t416 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t11))) % 0.92/1.18 (define @t417 () (= @t12 @t55)) % 0.92/1.18 (define @t418 () (@var "V_b_H" $$unsorted)) % 0.92/1.18 (define @t419 () (@var "V_a_H" $$unsorted)) % 0.92/1.18 (define @t420 () (not (= @t57 (tptp.c_Divides_Odiv__class_Omod @t419 @t55 @t11)))) % 0.92/1.18 (define @t421 () (not (= @t56 (tptp.c_Divides_Odiv__class_Omod @t418 @t55 @t11)))) % 0.92/1.18 (define @t422 () (@list @t11 @t51 @t55 @t418 @t12 @t419)) % 0.92/1.18 (define @t423 () (tptp.c_HOL_Oord__class_Oless @t13 @t14 @t11)) % 0.92/1.18 (define @t424 () (not @t423)) % 0.92/1.18 (define @t425 () (tptp.c_HOL_Oord__class_Oless @t14 @t53 @t11)) % 0.92/1.18 (define @t426 () (= @t38 @t39)) % 0.92/1.18 (define @t427 () (not (= @t277 (tptp.hAPP @t188 @t39)))) % 0.92/1.18 (define @t428 () (@list @t188 @t38 @t39 @t11 @t66)) % 0.92/1.18 (define @t429 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 @t74 @t11)) % 0.92/1.18 (define @t430 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t429 @t11)) % 0.92/1.18 (define @t431 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t344 @t74 @t11) @t430)) % 0.92/1.18 (define @t432 () (= @t430 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t39 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t74 @t11) @t11))) % 0.92/1.18 (define @t433 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t81 @t31)) % 0.92/1.18 (define @t434 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t433 @t31)) % 0.92/1.18 (define @t435 () (@list @t30 @t32 @t11 @t81)) % 0.92/1.18 (define @t436 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t81 @t31)) % 0.92/1.18 (define @t437 () (tptp.c_Finite__Set_Ofinite @t247 @t11)) % 0.92/1.18 (define @t438 () (not @t437)) % 0.92/1.18 (define @t439 () (tptp.c_Finite__Set_Ocard @t247 @t11)) % 0.92/1.18 (define @t440 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t441 () (@list @t20 @t8 @t1)) % 0.92/1.18 (define @t442 () (@var "V_w" $$unsorted)) % 0.92/1.18 (define @t443 () (= @t442 @t38)) % 0.92/1.18 (define @t444 () (= @t12 @t51)) % 0.92/1.18 (define @t445 () (= @t55 @t109)) % 0.92/1.18 (define @t446 () (tptp.c_HOL_Otimes__class_Otimes @t51 @t55 tptp.tc_nat)) % 0.92/1.18 (define @t447 () (@list @t11 @t30)) % 0.92/1.18 (define @t448 () (= @t30 @t32)) % 0.92/1.18 (define @t449 () (@list @t188 @t30 @t11 @t66 @t32)) % 0.92/1.18 (define @t450 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t14 @t11)) % 0.92/1.18 (define @t451 () (tptp.c_HOL_Oplus__class_Oplus @t450 @t450 @t11)) % 0.92/1.18 (define @t452 () (tptp.c_Orderings_Otop__class_Otop @t11)) % 0.92/1.18 (define @t453 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t32 @t11) @t452))) % 0.92/1.18 (define @t454 () (@list @t11 @t30 @t32)) % 0.92/1.18 (define @t455 () (@var "V_ry" $$unsorted)) % 0.92/1.18 (define @t456 () (@var "V_ly" $$unsorted)) % 0.92/1.18 (define @t457 () (@var "V_rx" $$unsorted)) % 0.92/1.18 (define @t458 () (@var "V_lx" $$unsorted)) % 0.92/1.18 (define @t459 () (tptp.c_HOL_Otimes__class_Otimes @t458 @t457 @t11)) % 0.92/1.18 (define @t460 () (tptp.c_HOL_Otimes__class_Otimes @t457 @t455 @t11)) % 0.92/1.18 (define @t461 () (tptp.c_HOL_Otimes__class_Otimes @t458 @t456 @t11)) % 0.92/1.18 (define @t462 () (tptp.c_HOL_Otimes__class_Otimes @t461 @t460 @t11)) % 0.92/1.18 (define @t463 () (@list @t11 @t458 @t456 @t457 @t455)) % 0.92/1.18 (define @t464 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t12 @t11)) % 0.92/1.18 (define @t465 () (= @t464 @t14)) % 0.92/1.18 (define @t466 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t14 @t11)) % 0.92/1.18 (define @t467 () (= @t466 @t14)) % 0.92/1.18 (define @t468 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t51 @t11)) % 0.92/1.18 (define @t469 () (not (tptp.class_Ring__and__Field_Omult__zero @t11))) % 0.92/1.18 (define @t470 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t471 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t3 tptp.tc_nat)) % 0.92/1.18 (define @t472 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t140 @t11)) % 0.92/1.18 (define @t473 () (tptp.c_HOL_Otimes__class_Otimes @t472 @t1 @t11)) % 0.92/1.18 (define @t474 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t1 @t11)) % 0.92/1.18 (define @t475 () (@list @t81 @t30 @t32 @t11)) % 0.92/1.18 (define @t476 () (tptp.c_HOL_Ominus__class_Ominus @t436 @t433 @t31)) % 0.92/1.18 (define @t477 () (tptp.hBOOL (tptp.hAPP @t398 @t224))) % 0.92/1.18 (define @t478 () (not @t477)) % 0.92/1.18 (define @t479 () (tptp.c_ATP__Linkup_Osko__Nat__Xinc__induct__1__1 @t398 @t224)) % 0.92/1.18 (define @t480 () (tptp.hBOOL (tptp.hAPP @t398 @t223))) % 0.92/1.18 (define @t481 () (@list @t398 @t223 @t224)) % 0.92/1.18 (define @t482 () (tptp.c_Fun_Ofun__upd @t188 @t38 @t39 @t11 @t66)) % 0.92/1.18 (define @t483 () (@list @t188 @t38 @t39 @t11 @t66 @t74)) % 0.92/1.18 (define @t484 () (not @t172)) % 0.92/1.18 (define @t485 () (@list @t38 @t32 @t11 @t30)) % 0.92/1.18 (define @t486 () (tptp.c_Set_Oimage @t188 @t68 @t66 @t11)) % 0.92/1.18 (define @t487 () (tptp.c_Set_Ovimage @t188 @t30 @t66 @t11)) % 0.92/1.18 (define @t488 () (tptp.c_Set_Oimage @t188 @t487 @t66 @t11)) % 0.92/1.18 (define @t489 () (@list @t188 @t30 @t66 @t11)) % 0.92/1.18 (define @t490 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t100 tptp.tc_nat)) % 0.92/1.18 (define @t491 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t492 () (@list @t20 @t8)) % 0.92/1.18 (define @t493 () (not @t491)) % 0.92/1.18 (define @t494 () (@list @t38 @t11)) % 0.92/1.18 (define @t495 () (tptp.c_HOL_Oord__class_Oless @t38 @t38 tptp.tc_nat)) % 0.92/1.18 (define @t496 () (tptp.c_HOL_Oord__class_Oless @t38 @t38 @t11)) % 0.92/1.18 (define @t497 () (not @t496)) % 0.92/1.18 (define @t498 () (= @t30 @t34)) % 0.92/1.18 (define @t499 () (tptp.c_Finite__Set_Ofinite @t30 @t11)) % 0.92/1.18 (define @t500 () (not @t499)) % 0.92/1.18 (define @t501 () (tptp.c_HOL_Oord__class_Oless @t3 @t297 tptp.tc_nat)) % 0.92/1.18 (define @t502 () (not (tptp.c_lessequals @t55 @t109 @t11))) % 0.92/1.18 (define @t503 () (tptp.c_lessequals @t195 @t213 @t11)) % 0.92/1.18 (define @t504 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t11))) % 0.92/1.18 (define @t505 () (tptp.hBOOL (tptp.hAPP @t35 @t38))) % 0.92/1.18 (define @t506 () (not @t505)) % 0.92/1.18 (define @t507 () (tptp.hBOOL (tptp.hAPP @t32 @t38))) % 0.92/1.18 (define @t508 () (tptp.hBOOL (tptp.hAPP @t30 @t38))) % 0.92/1.18 (define @t509 () (not @t204)) % 0.92/1.18 (define @t510 () (= @t55 @t14)) % 0.92/1.18 (define @t511 () (@list @t11 @t8)) % 0.92/1.18 (define @t512 () (not (tptp.c_lessequals @t32 @t249 @t67))) % 0.92/1.18 (define @t513 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t12 @t11) @t12)) % 0.92/1.18 (define @t514 () (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t14 @t11) @t12)) % 0.92/1.18 (define @t515 () (not (tptp.class_OrderedGroup_Omonoid__add @t11))) % 0.92/1.18 (define @t516 () (tptp.c_lessequals @t14 @t53 @t11)) % 0.92/1.18 (define @t517 () (not @t516)) % 0.92/1.18 (define @t518 () (not (tptp.c_HOL_Oord__class_Oless @t224 @t20 tptp.tc_nat))) % 0.92/1.18 (define @t519 () (tptp.c_HOL_Oord__class_Oless @t108 @t388 @t11)) % 0.92/1.18 (define @t520 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t11))) % 0.92/1.18 (define @t521 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t32 @t67)) % 0.92/1.18 (define @t522 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t11)) % 0.92/1.18 (define @t523 () (tptp.c_in @t55 @t30 @t11)) % 0.92/1.18 (define @t524 () (not @t523)) % 0.92/1.18 (define @t525 () (tptp.c_in @t55 @t32 @t11)) % 0.92/1.18 (define @t526 () (not @t525)) % 0.92/1.18 (define @t527 () (tptp.c_in @t55 @t35 @t11)) % 0.92/1.18 (define @t528 () (@list @t55 @t30 @t32 @t11)) % 0.92/1.18 (define @t529 () (tptp.c_in @t38 @t34 @t11)) % 0.92/1.18 (define @t530 () (not @t529)) % 0.92/1.18 (define @t531 () (tptp.hBOOL (tptp.hAPP @t398 @t38))) % 0.92/1.18 (define @t532 () (@list @t398 @t38 @t11)) % 0.92/1.18 (define @t533 () (tptp.c_in @t55 @t33 @t11)) % 0.92/1.18 (define @t534 () (not @t533)) % 0.92/1.18 (define @t535 () (@list @t55 @t32 @t11 @t30)) % 0.92/1.18 (define @t536 () (@list @t55 @t30 @t11 @t32)) % 0.92/1.18 (define @t537 () (not @t527)) % 0.92/1.18 (define @t538 () (not (tptp.c_in @t39 @t30 @t11))) % 0.92/1.18 (define @t539 () (@list @t188 @t38 @t39 @t30 @t11 @t66)) % 0.92/1.18 (define @t540 () (@var "V_xa" $$unsorted)) % 0.92/1.18 (define @t541 () (not @t531)) % 0.92/1.18 (define @t542 () (tptp.hAPP @t188 @t12)) % 0.92/1.18 (define @t543 () (tptp.c_in @t542 @t32 @t66)) % 0.92/1.18 (define @t544 () (tptp.c_in @t12 @t217 @t11)) % 0.92/1.18 (define @t545 () (tptp.c_Set_Ovimage @t188 @t32 @t66 @t11)) % 0.92/1.18 (define @t546 () (@list @t188 @t12 @t32 @t66 @t11)) % 0.92/1.18 (define @t547 () (tptp.c_lessequals @t38 @t39 @t11)) % 0.92/1.18 (define @t548 () (not @t547)) % 0.92/1.18 (define @t549 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t11))) % 0.92/1.18 (define @t550 () (not (tptp.c_lessequals @t39 @t74 @t11))) % 0.92/1.18 (define @t551 () (tptp.c_lessequals @t39 @t38 @t11)) % 0.92/1.18 (define @t552 () (not @t551)) % 0.92/1.18 (define @t553 () (not (tptp.c_lessequals @t74 @t39 @t11))) % 0.92/1.18 (define @t554 () (tptp.hAPP @t188 @t394)) % 0.92/1.18 (define @t555 () (tptp.c_lessequals @t344 @t38 @t11)) % 0.92/1.18 (define @t556 () (tptp.c_lessequals @t344 @t39 @t11)) % 0.92/1.18 (define @t557 () (tptp.c_lessequals @t38 @t12 @t11)) % 0.92/1.18 (define @t558 () (tptp.c_lessequals @t38 @t51 @t11)) % 0.92/1.18 (define @t559 () (tptp.c_lessequals @t38 @t121 @t11)) % 0.92/1.18 (define @t560 () (@list @t11 @t38 @t12 @t51)) % 0.92/1.18 (define @t561 () (tptp.c_lessequals @t38 @t74 @t11)) % 0.92/1.18 (define @t562 () (tptp.c_lessequals @t38 @t429 @t11)) % 0.92/1.18 (define @t563 () (tptp.c_HOL_Oplus__class_Oplus @t55 @t51 @t11)) % 0.92/1.18 (define @t564 () (tptp.c_lessequals @t289 @t563 @t11)) % 0.92/1.18 (define @t565 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t11))) % 0.92/1.18 (define @t566 () (tptp.c_lessequals @t108 @t103 @t11)) % 0.92/1.18 (define @t567 () (not @t124)) % 0.92/1.18 (define @t568 () (@list @t38 @t39)) % 0.92/1.18 (define @t569 () (@list @t39 @t38)) % 0.92/1.18 (define @t570 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t8 @t1 tptp.tc_nat))) % 0.92/1.18 (define @t571 () (tptp.c_HOL_Oord__class_Oless @t8 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t572 () (@list @t398 @t8 @t1)) % 0.92/1.18 (define @t573 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t51 tptp.tc_nat))) % 0.92/1.18 (define @t574 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t51 @t12 tptp.tc_nat))) % 0.92/1.18 (define @t575 () (@list @t51 @t12)) % 0.92/1.18 (define @t576 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t8 @t2 tptp.tc_nat))) % 0.92/1.18 (define @t577 () (tptp.c_HOL_Oplus__class_Oplus @t224 @t292 tptp.tc_nat)) % 0.92/1.18 (define @t578 () (tptp.c_HOL_Oplus__class_Oplus @t223 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t579 () (@list @t223 @t20 @t224 @t292)) % 0.92/1.18 (define @t580 () (tptp.c_HOL_Oord__class_Oless @t121 @t38 @t11)) % 0.92/1.18 (define @t581 () (@list @t11 @t12 @t51 @t38)) % 0.92/1.18 (define @t582 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t51 @t55 @t11)) % 0.92/1.18 (define @t583 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 @t74 tptp.tc_nat)) % 0.92/1.18 (define @t584 () (@list @t38 @t74 @t39)) % 0.92/1.18 (define @t585 () (tptp.c_HOL_Oord__class_Oless @t182 @t14 @t11)) % 0.92/1.18 (define @t586 () (tptp.c_HOL_Oord__class_Oless @t300 @t299 @t11)) % 0.92/1.18 (define @t587 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t588 () (tptp.c_SetInterval_Oord__class_OatLeast @t39 @t11)) % 0.92/1.18 (define @t589 () (tptp.c_SetInterval_Oord__class_OatLeast @t38 @t11)) % 0.92/1.18 (define @t590 () (@list @t188 @t38 @t66 @t11)) % 0.92/1.18 (define @t591 () (tptp.c_Fun_Ofun__upd @t188 @t38 @t39 @t66 @t11)) % 0.92/1.18 (define @t592 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t11))) % 0.92/1.18 (define @t593 () (@var "V_xb" $$unsorted)) % 0.92/1.18 (define @t594 () (tptp.c_HOL_Oord__class_Oless @t14 @t299 @t11)) % 0.92/1.18 (define @t595 () (not @t364)) % 0.92/1.18 (define @t596 () (tptp.c_HOL_Oord__class_Oless @t53 @t14 @t11)) % 0.92/1.18 (define @t597 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t53 @t55 @t11))) % 0.92/1.18 (define @t598 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t194 @t11)) % 0.92/1.18 (define @t599 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t344 @t11) @t344)) % 0.92/1.18 (define @t600 () (tptp.c_lessequals @t13 @t14 @t11)) % 0.92/1.18 (define @t601 () (@list @t223 @t224)) % 0.92/1.18 (define @t602 () (tptp.c_HOL_Oplus__class_Oplus @t224 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t603 () (@var "V_r" $$unsorted)) % 0.92/1.18 (define @t604 () (@var "V_q" $$unsorted)) % 0.92/1.18 (define @t605 () (not (tptp.c_lessequals @t55 @t14 @t11))) % 0.92/1.18 (define @t606 () (not (tptp.class_Ring__and__Field_Omult__mono @t11))) % 0.92/1.18 (define @t607 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t608 () (= @t118 (tptp.c_Divides_Odiv__class_Omod @t607 @t8 tptp.tc_nat))) % 0.92/1.18 (define @t609 () (not (= @t283 @t14))) % 0.92/1.18 (define @t610 () (tptp.c_HOL_Ominus__class_Ominus @t224 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t611 () (tptp.c_HOL_Oord__class_Oless @t223 @t610 tptp.tc_nat)) % 0.92/1.18 (define @t612 () (tptp.c_HOL_Oord__class_Oless @t578 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t613 () (@list @t223 @t224 @t20)) % 0.92/1.18 (define @t614 () (tptp.c_HOL_Oord__class_Oless @t108 @t103 @t11)) % 0.92/1.18 (define @t615 () (tptp.c_lessequals @t38 @t38 @t11)) % 0.92/1.18 (define @t616 () (= @t344 @t38)) % 0.92/1.18 (define @t617 () (not @t559)) % 0.92/1.18 (define @t618 () (tptp.c_lessequals @t121 @t38 @t11)) % 0.92/1.18 (define @t619 () (not @t562)) % 0.92/1.18 (define @t620 () (tptp.c_lessequals @t186 @t221 @t11)) % 0.92/1.18 (define @t621 () (not @t620)) % 0.92/1.18 (define @t622 () (tptp.c_lessequals @t183 @t109 @t11)) % 0.92/1.18 (define @t623 () (tptp.c_lessequals @t55 @t222 @t11)) % 0.92/1.18 (define @t624 () (tptp.c_Finite__Set_Olinorder__class_OMin @t30 @t11)) % 0.92/1.18 (define @t625 () (tptp.c_Finite__Set_Olinorder__class_OMax @t30 @t11)) % 0.92/1.18 (define @t626 () (@var "V_y_H" $$unsorted)) % 0.92/1.18 (define @t627 () (@var "V_x_H" $$unsorted)) % 0.92/1.18 (define @t628 () (tptp.c_HOL_Oord__class_Oless @t627 @t626 @t11)) % 0.92/1.18 (define @t629 () (tptp.c_HOL_Ominus__class_Ominus @t627 @t626 @t11)) % 0.92/1.18 (define @t630 () (tptp.c_HOL_Ominus__class_Ominus @t38 @t39 @t11)) % 0.92/1.18 (define @t631 () (not (= @t630 @t629))) % 0.92/1.18 (define @t632 () (@list @t11 @t38 @t39 @t627 @t626)) % 0.92/1.18 (define @t633 () (tptp.c_Divides_Odiv__class_Omod @t182 @t55 @t11)) % 0.92/1.18 (define @t634 () (not (tptp.class_Divides_Oring__div @t11))) % 0.92/1.18 (define @t635 () (tptp.c_HOL_Ominus__class_Ominus @t38 @t38 @t11)) % 0.92/1.18 (define @t636 () (= @t635 @t14)) % 0.92/1.18 (define @t637 () (not (tptp.class_OrderedGroup_Ogroup__add @t11))) % 0.92/1.18 (define @t638 () (not (= @t182 @t14))) % 0.92/1.18 (define @t639 () (tptp.c_in @t12 @t30 @t11)) % 0.92/1.18 (define @t640 () (not @t639)) % 0.92/1.18 (define @t641 () (tptp.c_Orderings_Obot__class_Obot @t67)) % 0.92/1.18 (define @t642 () (tptp.c_Set_Oinsert @t38 @t30 @t11)) % 0.92/1.18 (define @t643 () (@list @t38 @t30 @t11)) % 0.92/1.18 (define @t644 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t11))) % 0.92/1.18 (define @t645 () (not (tptp.c_Finite__Set_Ofinite @t32 @t11))) % 0.92/1.18 (define @t646 () (tptp.c_Finite__Set_Ofinite @t33 @t11)) % 0.92/1.18 (define @t647 () (not @t646)) % 0.92/1.18 (define @t648 () (@list @t30 @t11 @t32)) % 0.92/1.18 (define @t649 () (@var "V_G" $$unsorted)) % 0.92/1.18 (define @t650 () (tptp.c_Finite__Set_Ofinite (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t649 @t31) @t11)) % 0.92/1.18 (define @t651 () (@list @t64 @t649 @t11)) % 0.92/1.18 (define @t652 () (tptp.c_in @t39 @t249 @t66)) % 0.92/1.18 (define @t653 () (tptp.c_in @t542 @t249 @t66)) % 0.92/1.18 (define @t654 () (@list @t188 @t12 @t30 @t11 @t66)) % 0.92/1.18 (define @t655 () (tptp.c_in @t38 @t30 @t66)) % 0.92/1.18 (define @t656 () (not @t655)) % 0.92/1.18 (define @t657 () (tptp.c_Set_Oimage @t591 @t30 @t66 @t11)) % 0.92/1.18 (define @t658 () (@list @t188 @t38 @t39 @t66 @t11 @t30)) % 0.92/1.18 (define @t659 () (tptp.c_in @t542 (tptp.c_Set_Oimage @t188 @t256 @t11 @t66) @t66)) % 0.92/1.18 (define @t660 () (tptp.c_Fun_Oinj__on @t188 @t348 @t11 @t66)) % 0.92/1.18 (define @t661 () (not @t660)) % 0.92/1.18 (define @t662 () (tptp.c_HOL_Oord__class_Oless @t1 @t158 tptp.tc_nat)) % 0.92/1.18 (define @t663 () (tptp.c_HOL_Oord__class_Oless @t327 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t664 () (tptp.c_Suc @t223)) % 0.92/1.18 (define @t665 () (tptp.c_HOL_Oord__class_Oless @t38 @t342 tptp.tc_nat)) % 0.92/1.18 (define @t666 () (@var "V_nat_H" $$unsorted)) % 0.92/1.18 (define @t667 () (tptp.c_Suc @t666)) % 0.92/1.18 (define @t668 () (@list @t666)) % 0.92/1.18 (define @t669 () (tptp.c_HOL_Oord__class_Oless @t8 @t327 tptp.tc_nat)) % 0.92/1.18 (define @t670 () (not @t669)) % 0.92/1.18 (define @t671 () (= @t8 @t1)) % 0.92/1.18 (define @t672 () (not @t662)) % 0.92/1.18 (define @t673 () (tptp.c_Suc @t101)) % 0.92/1.18 (define @t674 () (tptp.c_HOL_Oplus__class_Oplus @t327 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t675 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t158 tptp.tc_nat)) % 0.92/1.18 (define @t676 () (tptp.c_HOL_Oord__class_Oless @t327 @t158 tptp.tc_nat)) % 0.92/1.18 (define @t677 () (= @t51 @t109)) % 0.92/1.18 (define @t678 () (tptp.c_Set_Oinsert @t51 @t34 @t11)) % 0.92/1.18 (define @t679 () (not (= (tptp.c_Set_Oinsert @t12 @t678 @t11) (tptp.c_Set_Oinsert @t55 (tptp.c_Set_Oinsert @t109 @t34 @t11) @t11)))) % 0.92/1.18 (define @t680 () (@list @t12 @t51 @t11 @t55 @t109)) % 0.92/1.18 (define @t681 () (= @t12 @t109)) % 0.92/1.18 (define @t682 () (tptp.c_Set_Oinsert @t12 @t35 @t11)) % 0.92/1.18 (define @t683 () (tptp.c_lessequals @t176 @t32 @t31)) % 0.92/1.18 (define @t684 () (not @t683)) % 0.92/1.18 (define @t685 () (tptp.c_lessequals @t30 @t169 @t31)) % 0.92/1.18 (define @t686 () (tptp.tc_fun @t11 @t66)) % 0.92/1.18 (define @t687 () (@var "V_g" $$unsorted)) % 0.92/1.18 (define @t688 () (tptp.c_HOL_Oord__class_Oless @t188 @t687 @t686)) % 0.92/1.18 (define @t689 () (not @t688)) % 0.92/1.18 (define @t690 () (tptp.c_lessequals @t188 @t687 @t686)) % 0.92/1.18 (define @t691 () (not (tptp.class_HOL_Oord @t66))) % 0.92/1.18 (define @t692 () (@list @t66 @t188 @t687 @t11)) % 0.92/1.18 (define @t693 () (not @t690)) % 0.92/1.18 (define @t694 () (tptp.c_lessequals @t687 @t188 @t686)) % 0.92/1.18 (define @t695 () (tptp.c_HOL_Oord__class_Oless @t289 @t563 @t11)) % 0.92/1.18 (define @t696 () (tptp.c_HOL_Oplus__class_Oplus @t224 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t697 () (tptp.c_HOL_Oord__class_Oless @t377 @t294 tptp.tc_nat)) % 0.92/1.18 (define @t698 () (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Divides_Odiv__class_Omod @t8 @t3 tptp.tc_nat)))) % 0.92/1.18 (define @t699 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t279 tptp.tc_bool))) % 0.92/1.18 (define @t700 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t51 tptp.tc_nat))) % 0.92/1.18 (define @t701 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t702 () (tptp.c_HOL_Oord__class_Oless @t3 @t701 tptp.tc_nat)) % 0.92/1.18 (define @t703 () (tptp.hBOOL (tptp.hAPP @t218 @t38))) % 0.92/1.18 (define @t704 () (tptp.hBOOL (tptp.hAPP @t30 @t277))) % 0.92/1.18 (define @t705 () (not @t508)) % 0.92/1.18 (define @t706 () (@list @t30 @t32 @t11 @t38)) % 0.92/1.18 (define @t707 () (= @t74 @t38)) % 0.92/1.18 (define @t708 () (tptp.hAPP @t188 @t74)) % 0.92/1.18 (define @t709 () (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t607 tptp.tc_nat) @t1)) % 0.92/1.18 (define @t710 () (@var "V_D" $$unsorted)) % 0.92/1.18 (define @t711 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t109 @t710 @t11))) % 0.92/1.18 (define @t712 () (@var "V_t" $$unsorted)) % 0.92/1.18 (define @t713 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t109 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t38 (tptp.c_HOL_Otimes__class_Otimes @t20 @t710 @t11) @t11) @t712 @t11) @t11)) % 0.92/1.18 (define @t714 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t109 (tptp.c_HOL_Oplus__class_Oplus @t38 @t712 @t11) @t11)) % 0.92/1.18 (define @t715 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t11))) % 0.92/1.18 (define @t716 () (tptp.c_lessequals @t20 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t717 () (not (= @t2 @t45))) % 0.92/1.18 (define @t718 () (tptp.c_HOL_Otimes__class_Otimes @t461 @t457 @t11)) % 0.92/1.18 (define @t719 () (@list @t11 @t458 @t456 @t457)) % 0.92/1.18 (define @t720 () (tptp.c_HOL_Otimes__class_Otimes @t458 @t460 @t11)) % 0.92/1.18 (define @t721 () (@list @t11 @t458 @t457 @t455)) % 0.92/1.18 (define @t722 () (= (tptp.c_HOL_Otimes__class_Otimes @t58 @t55 @t11) (tptp.c_HOL_Oplus__class_Oplus @t195 @t194 @t11))) % 0.92/1.18 (define @t723 () (@var "V_N" $$unsorted)) % 0.92/1.18 (define @t724 () (@var "V_M" $$unsorted)) % 0.92/1.18 (define @t725 () (not (tptp.c_lessequals @t724 @t723 @t31))) % 0.92/1.18 (define @t726 () (= @t724 @t34)) % 0.92/1.18 (define @t727 () (not (tptp.c_Finite__Set_Ofinite @t723 @t11))) % 0.92/1.18 (define @t728 () (not @t685)) % 0.92/1.18 (define @t729 () (tptp.c_Finite__Set_Ocard @t32 @t11)) % 0.92/1.18 (define @t730 () (tptp.c_HOL_Oord__class_Oless @t297 @t729 tptp.tc_nat)) % 0.92/1.18 (define @t731 () (tptp.c_Finite__Set_Ocard @t33 @t11)) % 0.92/1.18 (define @t732 () (tptp.c_Finite__Set_Ocard @t176 @t11)) % 0.92/1.18 (define @t733 () (@list @t30 @t38 @t11)) % 0.92/1.18 (define @t734 () (tptp.c_in @t223 (tptp.c_SetInterval_Oord__class_OatLeast @t20 @t11) @t11)) % 0.92/1.18 (define @t735 () (tptp.c_lessequals @t20 @t223 @t11)) % 0.92/1.18 (define @t736 () (not (tptp.class_HOL_Oord @t11))) % 0.92/1.18 (define @t737 () (tptp.c_lessequals @t182 @t14 @t11)) % 0.92/1.18 (define @t738 () (tptp.c_HOL_Ominus__class_Ominus @t642 @t32 @t31)) % 0.92/1.18 (define @t739 () (@list @t38 @t30 @t11 @t32)) % 0.92/1.18 (define @t740 () (tptp.c_in @t12 @t81 @t11)) % 0.92/1.18 (define @t741 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t253 @t81 @t31)) % 0.92/1.18 (define @t742 () (@list @t12 @t32 @t11 @t81)) % 0.92/1.18 (define @t743 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t253 @t31)) % 0.92/1.18 (define @t744 () (tptp.c_in @t38 @t540 @t11)) % 0.92/1.18 (define @t745 () (tptp.c_Set_Oinsert @t38 @t540 @t11)) % 0.92/1.18 (define @t746 () (@list @t38 @t540 @t11)) % 0.92/1.18 (define @t747 () (not (tptp.c_in @t12 @t394 @t11))) % 0.92/1.18 (define @t748 () (tptp.c_lessequals @t589 @t588 @t31)) % 0.92/1.18 (define @t749 () (not (tptp.c_lessequals @t32 @t81 @t31))) % 0.92/1.18 (define @t750 () (tptp.c_lessequals @t30 @t81 @t31)) % 0.92/1.18 (define @t751 () (not @t750)) % 0.92/1.18 (define @t752 () (@list @t30 @t32 @t11 @t81 @t710)) % 0.92/1.18 (define @t753 () (tptp.c_lessequals @t81 @t30 @t31)) % 0.92/1.18 (define @t754 () (tptp.c_lessequals @t81 @t32 @t31)) % 0.92/1.18 (define @t755 () (tptp.c_lessequals @t81 @t35 @t31)) % 0.92/1.18 (define @t756 () (not (tptp.c_lessequals @t32 @t30 @t31))) % 0.92/1.18 (define @t757 () (@list @t188 @t30 @t66 @t11 @t32)) % 0.92/1.18 (define @t758 () (not @t755)) % 0.92/1.18 (define @t759 () (tptp.c_lessequals @t7 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t760 () (tptp.c_lessequals @t7 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t761 () (tptp.c_lessequals @t7 @t45 tptp.tc_nat)) % 0.92/1.18 (define @t762 () (not @t761)) % 0.92/1.18 (define @t763 () (not (tptp.c_Fun_Oinj__on @t188 @t81 @t11 @t66))) % 0.92/1.18 (define @t764 () (@list @t188 @t30 @t32 @t11 @t66 @t81)) % 0.92/1.18 (define @t765 () (tptp.c_Set_Oimage @t188 @t30 @t66 @t11)) % 0.92/1.18 (define @t766 () (not (tptp.c_lessequals @t32 @t765 @t31))) % 0.92/1.18 (define @t767 () (tptp.c_Hilbert__Choice_Oinv__into @t30 @t188 @t66 @t11)) % 0.92/1.18 (define @t768 () (tptp.c_lessequals @t249 @t303 @t67)) % 0.92/1.18 (define @t769 () (@var "V_S" $$unsorted)) % 0.92/1.18 (define @t770 () (= @t297 @t3)) % 0.92/1.18 (define @t771 () (tptp.c_lessequals @t377 @t294 tptp.tc_nat)) % 0.92/1.18 (define @t772 () (tptp.c_lessequals @t38 @t39 tptp.tc_nat)) % 0.92/1.18 (define @t773 () (not (tptp.c_lessequals @t20 @t292 tptp.tc_nat))) % 0.92/1.18 (define @t774 () (not (tptp.c_lessequals @t376 @t8 tptp.tc_nat))) % 0.92/1.18 (define @t775 () (tptp.c_lessequals @t38 @t98 tptp.tc_nat)) % 0.92/1.18 (define @t776 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t777 () (@list @t8 @t223)) % 0.92/1.18 (define @t778 () (= (tptp.c_Set_Oimage @t188 @t38 @t11 @t66) (tptp.c_Set_Oimage @t687 @t38 @t11 @t66))) % 0.92/1.18 (define @t779 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__cong__1__1 @t38 @t188 @t687 @t11 @t66)) % 0.92/1.18 (define @t780 () (= @t30 @t641)) % 0.92/1.18 (define @t781 () (tptp.c_Set_Oimage @t188 @t641 @t66 @t11)) % 0.92/1.18 (define @t782 () (tptp.c_lessequals @t1 @t239 tptp.tc_nat)) % 0.92/1.18 (define @t783 () (tptp.c_lessequals @t229 @t227 tptp.tc_nat)) % 0.92/1.18 (define @t784 () (not @t783)) % 0.92/1.18 (define @t785 () (tptp.c_lessequals @t233 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t786 () (not (= @t229 @t227))) % 0.92/1.18 (define @t787 () (tptp.c_HOL_Ominus__class_Ominus @t229 @t227 tptp.tc_nat)) % 0.92/1.18 (define @t788 () (= @t607 @t3)) % 0.92/1.18 (define @t789 () (not @t788)) % 0.92/1.18 (define @t790 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t791 () (not @t790)) % 0.92/1.18 (define @t792 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t607 tptp.tc_nat)) % 0.92/1.18 (define @t793 () (tptp.c_HOL_Ominus__class_Ominus @t292 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t794 () (tptp.c_HOL_Ominus__class_Ominus @t292 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t795 () (@list @t292 @t8 @t1)) % 0.92/1.18 (define @t796 () (not (tptp.hBOOL (tptp.hAPP @t398 @t20)))) % 0.92/1.18 (define @t797 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__lemma__1__1 @t398)) % 0.92/1.18 (define @t798 () (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_HOL_Ominus__class_Ominus @t20 @t223 tptp.tc_nat)))) % 0.92/1.18 (define @t799 () (@list @t398 @t20 @t223)) % 0.92/1.18 (define @t800 () (tptp.c_HOL_Ominus__class_Ominus @t232 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t801 () (not (tptp.c_in @t51 @t765 @t11))) % 0.92/1.18 (define @t802 () (tptp.c_ATP__Linkup_Osko__Set__XimageE__1__1 @t30 @t51 @t188 @t66 @t11)) % 0.92/1.18 (define @t803 () (not (tptp.c_in @t74 @t765 @t11))) % 0.92/1.18 (define @t804 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__iff__1__1 @t30 @t188 @t74 @t66 @t11)) % 0.92/1.18 (define @t805 () (tptp.c_lessequals @t300 @t299 @t11)) % 0.92/1.18 (define @t806 () (tptp.c_Finite__Set_Ofinite @t254 @t11)) % 0.92/1.18 (define @t807 () (or (= @t732 @t297) @t173 @t500)) % 0.92/1.18 (define @t808 () (forall @t733 @t807)) % 0.92/1.18 (define @t809 () (tptp.c_lessequals @t373 @t372 tptp.tc_nat)) % 0.92/1.18 (define @t810 () (tptp.c_lessequals @t38 @t38 tptp.tc_nat)) % 0.92/1.18 (define @t811 () (tptp.c_lessequals @t327 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t812 () (not @t811)) % 0.92/1.18 (define @t813 () (tptp.c_lessequals @t158 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t814 () (not @t813)) % 0.92/1.18 (define @t815 () (@var "V_m_H" $$unsorted)) % 0.92/1.18 (define @t816 () (not (tptp.c_lessequals @t158 @t815 tptp.tc_nat))) % 0.92/1.18 (define @t817 () (tptp.c_Natural_Osko__Natural__XSuc__le__D__lemma__1__1 @t398 @t8)) % 0.92/1.18 (define @t818 () (tptp.hBOOL (tptp.hAPP @t398 @t815))) % 0.92/1.18 (define @t819 () (@list @t398 @t815 @t8)) % 0.92/1.18 (define @t820 () (tptp.c_Suc @t732)) % 0.92/1.18 (define @t821 () (tptp.c_Finite__Set_Ocard @t642 @t11)) % 0.92/1.18 (define @t822 () (tptp.c_ATP__Linkup_Osko__Set__Xsubset__image__iff__1__1 @t30 @t32 @t188 @t66 @t11)) % 0.92/1.18 (define @t823 () (@list @t32 @t188 @t30 @t66 @t11)) % 0.92/1.18 (define @t824 () (tptp.c_Set_Oimage @t188 @t32 @t66 @t11)) % 0.92/1.18 (define @t825 () (@list @t30 @t32 @t188 @t66 @t11)) % 0.92/1.18 (define @t826 () (not (= @t297 @t371))) % 0.92/1.18 (define @t827 () (@list @t30 @t11 @t20)) % 0.92/1.18 (define @t828 () (not @t716)) % 0.92/1.18 (define @t829 () (not @t792)) % 0.92/1.18 (define @t830 () (tptp.c_lessequals @t8 @t1 tptp.tc_nat)) % 0.92/1.18 (define @t831 () (not @t830)) % 0.92/1.18 (define @t832 () (not (tptp.c_lessequals @t20 @t224 tptp.tc_nat))) % 0.92/1.18 (define @t833 () (tptp.c_lessequals @t223 @t610 tptp.tc_nat)) % 0.92/1.18 (define @t834 () (tptp.c_lessequals @t578 @t224 tptp.tc_nat)) % 0.92/1.18 (define @t835 () (tptp.c_lessequals @t610 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t836 () (tptp.c_lessequals @t224 @t578 tptp.tc_nat)) % 0.92/1.18 (define @t837 () (@list @t224 @t223 @t20)) % 0.92/1.18 (define @t838 () (@list @t224 @t20 @t223)) % 0.92/1.18 (define @t839 () (tptp.c_HOL_Oplus__class_Oplus @t223 @t610 tptp.tc_nat)) % 0.92/1.18 (define @t840 () (tptp.c_HOL_Ominus__class_Ominus @t263 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t841 () (tptp.c_HOL_Oplus__class_Oplus @t610 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t842 () (tptp.c_HOL_Ominus__class_Ominus @t602 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t843 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t223 tptp.tc_nat)) % 0.92/1.18 (define @t844 () (not (tptp.c_lessequals @t20 @t1 tptp.tc_nat))) % 0.92/1.18 (define @t845 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t846 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t20 tptp.tc_nat)) % 0.92/1.18 (define @t847 () (tptp.c_HOL_Oord__class_Oless @t846 @t845 tptp.tc_nat)) % 0.92/1.18 (define @t848 () (tptp.c_Finite__Set_Ocard @t249 @t66)) % 0.92/1.18 (define @t849 () (= @t848 @t297)) % 0.92/1.18 (define @t850 () (tptp.c_in @t12 @t32 @t11)) % 0.92/1.18 (define @t851 () (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 @t188 @t11)) % 0.92/1.18 (define @t852 () (@var "V_n_H" $$unsorted)) % 0.92/1.18 (define @t853 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t30 @t32 @t188 @t11 @t66)) % 0.92/1.18 (define @t854 () (tptp.c_lessequals @t249 @t32 @t67)) % 0.92/1.18 (define @t855 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t30 @t32 @t188 @t66 @t11)) % 0.92/1.18 (define @t856 () (tptp.c_lessequals @t765 @t32 @t31)) % 0.92/1.18 (define @t857 () (tptp.c_Set_Oimage @t687 @t394 @t11 @t66)) % 0.92/1.18 (define @t858 () (tptp.c_Set_Oimage @t188 @t30 @t11 @t11)) % 0.92/1.18 (define @t859 () (tptp.c_Fun_Oinj__on @t188 @t30 @t11 @t11)) % 0.92/1.18 (define @t860 () (@list @t188 @t30 @t11)) % 0.92/1.18 (define @t861 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t30 @t32 @t188 @t66 @t11)) % 0.92/1.18 (define @t862 () (tptp.c_Suc @t224)) % 0.92/1.18 (define @t863 () (tptp.c_Suc @t610)) % 0.92/1.18 (define @t864 () (tptp.c_Finite__Set_Ocard @t540 @t11)) % 0.92/1.18 (define @t865 () (not @t854)) % 0.92/1.18 (define @t866 () (tptp.c_Finite__Set_Ofinite @t32 @t66)) % 0.92/1.18 (define @t867 () (not @t866)) % 0.92/1.18 (define @t868 () (tptp.c_Finite__Set_Ocard @t32 @t66)) % 0.92/1.18 (define @t869 () (tptp.c_lessequals @t158 @t327 tptp.tc_nat)) % 0.92/1.18 (define @t870 () (@list @t38 @t30 @t66 @t188 @t11)) % 0.92/1.18 (define @t871 () (tptp.c_lessequals @t626 @t627 @t11)) % 0.92/1.18 (define @t872 () (tptp.c_in @t12 (tptp.c_Set_Oinsert @t51 @t30 @t11) @t11)) % 0.92/1.18 (define @t873 () (tptp.c_Set_Oinsert @t51 @t32 @t11)) % 0.92/1.18 (define @t874 () (@var "V_Q" $$unsorted)) % 0.92/1.18 (define @t875 () (not (tptp.c_lessequals @t398 @t874 @t31))) % 0.92/1.18 (define @t876 () (tptp.hBOOL (tptp.hAPP @t874 @t38))) % 0.92/1.18 (define @t877 () (@list @t874 @t38 @t398 @t11)) % 0.92/1.18 (define @t878 () (tptp.c_lessequals @t642 @t32 @t31)) % 0.92/1.18 (define @t879 () (tptp.c_lessequals @t1 @t158 tptp.tc_nat)) % 0.92/1.18 (define @t880 () (tptp.c_HOL_Ominus__class_Ominus @t327 @t158 tptp.tc_nat)) % 0.92/1.18 (define @t881 () (forall @t46 (= @t880 @t607))) % 0.92/1.18 (define @t882 () (@var "V_nat" $$unsorted)) % 0.92/1.18 (define @t883 () (tptp.c_Finite__Set_Ofinite @t348 @t11)) % 0.92/1.18 (define @t884 () (tptp.c_HOL_Ominus__class_Ominus @t327 @t8 tptp.tc_nat)) % 0.92/1.18 (define @t885 () (tptp.c_Set_Oinsert @t39 @t30 @t11)) % 0.92/1.18 (define @t886 () (tptp.hBOOL (tptp.hAPP @t885 @t38))) % 0.92/1.18 (define @t887 () (not @t878)) % 0.92/1.18 (define @t888 () (tptp.hBOOL (tptp.hAPP @t769 @t38))) % 0.92/1.18 (define @t889 () (tptp.c_in @t38 @t769 @t11)) % 0.92/1.18 (define @t890 () (tptp.c_lessequals @t846 @t845 tptp.tc_nat)) % 0.92/1.18 (define @t891 () (@list @t188 @t38 @t30 @t11 @t66)) % 0.92/1.18 (define @t892 () (tptp.c_in @t277 @t765 @t11)) % 0.92/1.18 (define @t893 () (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)) % 0.92/1.18 (define @t894 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.92/1.18 (define @t895 () (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a)) % 0.92/1.18 (define @t896 () (tptp.c_lessequals tptp.v_G @t895 @t894)) % 0.92/1.18 (define @t897 () (tptp.c_Finite__Set_Ocard @t895 tptp.t_a)) % 0.92/1.18 (define @t898 () (tptp.c_Suc tptp.v_na)) % 0.92/1.18 (define @t899 () (tptp.c_lessequals @t898 @t897 tptp.tc_nat)) % 0.92/1.18 (define @t900 () (tptp.c_HOL_Ominus__class_Ominus @t897 @t898 tptp.tc_nat)) % 0.92/1.18 (define @t901 () (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) % 0.92/1.18 (define @t902 () (= @t901 @t900)) % 0.92/1.18 (define @t903 () (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) % 0.92/1.18 (define @t904 () (tptp.c_in @t903 tptp.v_G tptp.t_a)) % 0.92/1.18 (define @t905 () (tptp.c_HOL_Ominus__class_Ominus @t897 tptp.v_na tptp.tc_nat)) % 0.92/1.18 (define @t906 () (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert @t903 tptp.v_G tptp.t_a) tptp.t_a)) % 0.92/1.18 (define @t907 () (= @t906 @t905)) % 0.92/1.18 (define @t908 () (not @t907)) % 0.92/1.18 (define @t909 () (@var "T_1" $$unsorted)) % 0.92/1.18 (define @t910 () (@var "T_2" $$unsorted)) % 0.92/1.18 (define @t911 () (tptp.tc_fun @t910 @t909)) % 0.92/1.18 (define @t912 () (@list @t910 @t909)) % 0.92/1.18 (define @t913 () (not (tptp.class_Lattices_Olattice @t909))) % 0.92/1.18 (define @t914 () (@var "V_Y" $$unsorted)) % 0.92/1.18 (define @t915 () (not @t899)) % 0.92/1.18 (define @t916 () (tptp.c_Suc @t900)) % 0.92/1.18 (define @t917 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc @t897) @t898 tptp.tc_nat)) % 0.92/1.18 (define @t918 () (= @t917 @t916)) % 0.92/1.18 (define @t919 () (or @t918 @t915)) % 0.92/1.18 (define @t920 () (@list false false)) % 0.92/1.18 (define @t921 () (not @t893)) % 0.92/1.18 (define @t922 () (not @t896)) % 0.92/1.18 (define @t923 () (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) % 0.92/1.18 (define @t924 () (or @t923 @t922 @t921)) % 0.92/1.18 (define @t925 () (not @t923)) % 0.92/1.18 (define @t926 () (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert @t903 (tptp.c_Orderings_Obot__class_Obot @t894) tptp.t_a) @t894) tptp.t_a)) % 0.92/1.18 (define @t927 () (= @t901 @t926)) % 0.92/1.18 (define @t928 () (or @t927 @t904 @t925)) % 0.92/1.18 (define @t929 () (= @t906 (tptp.c_Suc @t926))) % 0.92/1.18 (define @t930 () (or @t929 @t925)) % 0.92/1.18 (define @t931 () (= @t905 @t917)) % 0.92/1.18 (define @t932 () (not @t931)) % 0.92/1.18 (define @t933 () (not @t918)) % 0.92/1.18 (define @t934 () (not @t929)) % 0.92/1.18 (define @t935 () (not @t927)) % 0.92/1.18 (define @t936 () (not @t902)) % 0.92/1.18 (define @t937 () (= @t917 @t905)) % 0.92/1.18 (define @t938 () (not @t937)) % 0.92/1.18 (define @t939 () (tptp.c_Suc @t901)) % 0.92/1.18 (define @t940 () (and @t931 @t932)) % 0.92/1.18 (assume @p1 (forall @t6 (or @t5 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat) @t1 tptp.tc_nat)))) % 0.92/1.18 (assume @p2 (forall @t6 (or @t5 (tptp.c_Ring__and__Field_Odvd__class_Odvd (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 tptp.tc_nat) @t1 tptp.tc_nat)))) % 0.92/1.18 (assume @p3 (forall @t10 (or @t9 (not (tptp.c_HOL_Oord__class_Oless @t8 @t7 tptp.tc_nat))))) % 0.92/1.18 (assume @p4 (forall @t18 (or @t17 @t16 (not @t15)))) % 0.92/1.18 (assume @p5 (forall @t18 (or @t17 @t15 @t19))) % 0.92/1.18 (assume @p6 (forall @t25 (or @t24 @t21))) % 0.92/1.18 (assume @p7 (forall @t29 (or @t28 @t21))) % 0.92/1.18 (assume @p8 (forall @t37 (or @t36 (= @t33 @t30)))) % 0.92/1.18 (assume @p9 (forall @t43 (or @t42 (= @t41 @t40)))) % 0.92/1.18 (assume @p10 (forall @t46 (= @t45 @t44))) % 0.92/1.18 (assume @p11 (forall @t48 (or @t17 @t47))) % 0.92/1.18 (assume @p12 (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 tptp.tc_nat) @t3)) % 0.92/1.18 (assume @p13 (forall @t48 (or @t50 @t49 @t49 @t47))) % 0.92/1.18 (assume @p14 (forall @t54 (or @t42 (= @t53 @t52)))) % 0.92/1.18 (assume @p15 (forall @t61 (or @t60 (= @t59 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t57 @t56 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p16 (forall @t54 (or @t50 (tptp.c_lessequals @t14 @t58 @t11) @t63 @t19))) % 0.92/1.18 (assume @p17 (forall (@list @t69 @t64 @t66 @t11) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t69 @t64 @t66 @t11) @t66) (not (tptp.c_Fun_Oinj__on @t69 @t68 @t66 @t11)) @t65))) % 0.92/1.18 (assume @p18 (forall @t46 (or (= @t45 (tptp.c_HOL_Oplus__class_Oplus @t8 (tptp.c_HOL_Otimes__class_Otimes @t71 @t8 tptp.tc_nat) tptp.tc_nat)) @t70))) % 0.92/1.18 (assume @p19 (forall @t78 (or @t77 @t76 @t75 @t73))) % 0.92/1.18 (assume @p20 (forall @t84 (or @t83 @t82 @t80))) % 0.92/1.18 (assume @p21 (forall @t90 (or @t89 @t88 @t87 @t86))) % 0.92/1.18 (assume @p22 (forall @t94 (or @t42 (= @t93 (tptp.c_HOL_Oplus__class_Oplus @t91 @t74 @t11))))) % 0.92/1.18 (assume @p23 (forall @t94 (or @t96 (= @t93 (tptp.c_HOL_Oplus__class_Oplus @t39 @t95 @t11))))) % 0.92/1.18 (assume @p24 (forall @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t38 @t98 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t39 @t97 tptp.tc_nat)))) % 0.92/1.18 (assume @p25 (forall @t102 (= (tptp.c_HOL_Oplus__class_Oplus @t101 @t20 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t1 @t100 tptp.tc_nat)))) % 0.92/1.18 (assume @p26 (forall @t61 (or @t107 @t106))) % 0.92/1.18 (assume @p27 (forall @t61 (or @t107 (= @t104 (tptp.c_HOL_Oplus__class_Oplus @t51 @t108 @t11))))) % 0.92/1.18 (assume @p28 (forall @t61 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t11)) @t106))) % 0.92/1.18 (assume @p29 (forall @t112 (or @t42 (= @t111 (tptp.c_HOL_Oplus__class_Oplus @t108 @t109 @t11))))) % 0.92/1.18 (assume @p30 (forall @t61 (or @t42 (= @t105 (tptp.c_HOL_Oplus__class_Oplus @t108 @t51 @t11))))) % 0.92/1.18 (assume @p31 (forall @t112 (or @t42 (= @t111 (tptp.c_HOL_Oplus__class_Oplus @t55 (tptp.c_HOL_Oplus__class_Oplus @t12 @t109 @t11) @t11))))) % 0.92/1.18 (assume @p32 (forall @t61 (or @t42 @t106))) % 0.92/1.18 (assume @p33 (forall @t115 (or @t114 @t4 (not @t113)))) % 0.92/1.18 (assume @p34 (forall @t6 (not (tptp.c_HOL_Oord__class_Oless @t1 @t3 tptp.tc_nat)))) % 0.92/1.18 (assume @p35 (forall @t10 (not (tptp.c_HOL_Oord__class_Oless @t8 @t3 tptp.tc_nat)))) % 0.92/1.18 (assume @p36 (forall (@list @t20) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t7 @t20 tptp.tc_nat))) % 0.92/1.18 (assume @p37 (forall (@list @t11 @t38 @t39 @t74 @t116) (or @t96 (not (= @t93 (tptp.c_HOL_Oplus__class_Oplus @t39 @t116 @t11))) (= @t95 @t116)))) % 0.92/1.18 (assume @p38 (forall @t37 (= (tptp.c_HOL_Ominus__class_Ominus @t33 @t32 @t31) @t33))) % 0.92/1.18 (assume @p39 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t118 @t8 tptp.tc_nat) @t117))) % 0.92/1.18 (assume @p40 (forall @t61 (or @t120 @t119))) % 0.92/1.18 (assume @p41 (forall @t61 (or @t120 @t122))) % 0.92/1.18 (assume @p42 (forall @t61 (or @t17 @t119))) % 0.92/1.18 (assume @p43 (forall @t61 (or @t17 @t122))) % 0.92/1.18 (assume @p44 (forall @t128 (or @t127 @t126 @t125 @t124 @t123))) % 0.92/1.18 (assume @p45 (forall @t61 (or @t60 (= @t59 @t129)))) % 0.92/1.18 (assume @p46 (forall @t61 (or @t60 (= @t59 @t130)))) % 0.92/1.18 (assume @p47 (forall @t46 (or @t132 @t131))) % 0.92/1.18 (assume @p48 (forall @t46 (or @t132 @t133))) % 0.92/1.18 (assume @p49 (= @t7 @t134)) % 0.92/1.18 (assume @p50 (forall @t138 (or @t137 @t107 @t136 @t135 @t19))) % 0.92/1.18 (assume @p51 (forall @t115 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t139 tptp.tc_nat) @t3))) % 0.92/1.18 (assume @p52 (forall @t48 (or @t141 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t11) @t140)))) % 0.92/1.18 (assume @p53 (forall @t48 (or @t142 (not (= @t14 @t140))))) % 0.92/1.18 (assume @p54 (forall @t29 (or @t145 @t144 @t143))) % 0.92/1.18 (assume @p55 (forall @t46 (or @t147 @t146 @t9))) % 0.92/1.18 (assume @p56 (forall @t94 (or @t151 @t150 (= @t149 (tptp.c_HOL_Oplus__class_Oplus @t148 @t41 @t11))))) % 0.92/1.18 (assume @p57 (forall (@list @t11 @t38 @t55 @t109) (or @t151 @t150 (= (tptp.c_HOL_Oplus__class_Oplus @t152 @t153 @t11) (tptp.c_HOL_Oplus__class_Oplus @t153 @t152 @t11))))) % 0.92/1.18 (assume @p58 (forall (@list @t38 @t55 @t109) (= (tptp.c_HOL_Oplus__class_Oplus @t154 @t155 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t155 @t154 tptp.tc_nat)))) % 0.92/1.18 (assume @p59 (forall @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t156 @t157 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t157 @t156 tptp.tc_nat)))) % 0.92/1.18 (assume @p60 (forall @t18 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t12 @t11) @t14)))) % 0.92/1.18 (assume @p61 (forall @t10 (= @t158 (tptp.c_HOL_Oplus__class_Oplus @t8 @t2 tptp.tc_nat)))) % 0.92/1.18 (assume @p62 (forall @t10 (= @t158 (tptp.c_HOL_Oplus__class_Oplus @t2 @t8 tptp.tc_nat)))) % 0.92/1.18 (assume @p63 (forall @t54 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t159 @t51 @t11) @t159)))) % 0.92/1.18 (assume @p64 (= @t160 @t7)) % 0.92/1.18 (assume @p65 (forall @t54 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t52 @t11)))) % 0.92/1.18 (assume @p66 (forall @t54 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t53 @t11)))) % 0.92/1.18 (assume @p67 (forall (@list @t11 @t51 @t20) (or @t161 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t51 (tptp.c_HOL_Otimes__class_Otimes @t51 @t20 @t11) @t11)))) % 0.92/1.18 (assume @p68 (forall @t138 (or @t137 @t107 @t136 @t164 @t163))) % 0.92/1.18 (assume @p69 (forall @t18 (or @t42 @t165))) % 0.92/1.18 (assume @p70 (forall @t18 (or @t42 @t166))) % 0.92/1.18 (assume @p71 (forall @t18 (or @t167 @t166))) % 0.92/1.18 (assume @p72 (forall @t18 (or @t167 @t165))) % 0.92/1.18 (assume @p73 (forall @t18 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t11)) @t165))) % 0.92/1.18 (assume @p74 (forall @t10 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t8 tptp.tc_nat) @t8))) % 0.92/1.18 (assume @p75 (forall @t10 (= (tptp.c_HOL_Otimes__class_Otimes @t8 @t2 tptp.tc_nat) @t8))) % 0.92/1.18 (assume @p76 (forall @t168 (or @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t140 @t38 @t11) @t38)))) % 0.92/1.18 (assume @p77 (forall @t178 (or @t177 @t174 @t172 @t171))) % 0.92/1.18 (assume @p78 (forall @t180 (or @t170 @t174 @t179 @t172))) % 0.92/1.18 (assume @p79 (forall (@list @t11 @t12 @t181 @t55 @t51) (or @t187 (= @t186 (tptp.c_HOL_Oplus__class_Oplus @t184 @t183 @t11))))) % 0.92/1.18 (assume @p80 (forall @t191 (or (tptp.c_Fun_Oinj__on @t188 @t33 @t11 @t66) @t190))) % 0.92/1.18 (assume @p81 (forall @t197 (or @t151 @t196 @t193))) % 0.92/1.18 (assume @p82 (forall @t201 (or @t151 @t200 @t193))) % 0.92/1.18 (assume @p83 (forall @t29 (or @t204 @t203))) % 0.92/1.18 (assume @p84 (forall @t197 (or @t60 (= @t206 @t205)))) % 0.92/1.18 (assume @p85 (forall @t216 (or @t215 @t214 @t212 @t211 @t209 @t208))) % 0.92/1.18 (assume @p86 (forall @t220 (= (tptp.c_Set_Ovimage @t188 @t219 @t11 @t66) (tptp.c_HOL_Ominus__class_Ominus @t218 @t217 @t31)))) % 0.92/1.18 (assume @p87 (forall @t180 (or @t170 @t174 @t179 @t80))) % 0.92/1.18 (assume @p88 (forall (@list @t11 @t12 @t181 @t51 @t109) (or @t187 (= (tptp.c_HOL_Oplus__class_Oplus @t185 @t222 @t11) @t221)))) % 0.92/1.18 (assume @p89 (forall @t235 (or @t234 @t231 @t225))) % 0.92/1.18 (assume @p90 (forall @t236 (or @t230 (not @t234) @t225))) % 0.92/1.18 (assume @p91 (forall @t241 (or @t240 @t231 @t237))) % 0.92/1.18 (assume @p92 (forall @t236 (or @t230 (not @t240) @t237))) % 0.92/1.18 (assume @p93 (forall @t243 (or @t187 @t242 (= @t55 @t222)))) % 0.92/1.18 (assume @p94 (forall @t243 (or @t187 @t242 (= @t183 @t109)))) % 0.92/1.18 (assume @p95 (forall @t244 (tptp.c_HOL_Oord__class_Oless @t223 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t223 @t1 tptp.tc_nat)) tptp.tc_nat))) % 0.92/1.18 (assume @p96 (forall @t244 (tptp.c_HOL_Oord__class_Oless @t223 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t1 @t223 tptp.tc_nat)) tptp.tc_nat))) % 0.92/1.18 (assume @p97 (forall @t246 (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_Suc @t245) tptp.tc_nat))) % 0.92/1.18 (assume @p98 (forall @t250 (or (= (tptp.c_Set_Ovimage @t188 @t249 @t11 @t66) @t30) @t248))) % 0.92/1.18 (assume @p99 (forall @t251 (= (tptp.c_Set_Ovimage @t188 @t68 @t11 @t66) @t247))) % 0.92/1.18 (assume @p100 (forall @t255 (= @t254 (tptp.c_HOL_Ominus__class_Ominus @t33 @t252 @t31)))) % 0.92/1.18 (assume @p101 (forall @t255 (= @t254 (tptp.c_HOL_Ominus__class_Ominus @t256 @t32 @t31)))) % 0.92/1.18 (assume @p102 (forall @t138 (or @t137 @t107 @t257 @t164 @t19))) % 0.92/1.18 (assume @p103 (forall @t138 (or @t137 @t107 @t257 @t259 @t212))) % 0.92/1.18 (assume @p104 (forall @t99 (or @t262 @t261))) % 0.92/1.18 (assume @p105 (forall @t99 (or @t262 (not (tptp.c_HOL_Oord__class_Oless @t38 @t74 tptp.tc_nat))))) % 0.92/1.18 (assume @p106 (forall @t264 (or (tptp.c_HOL_Oord__class_Oless @t223 @t20 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t263 @t20 tptp.tc_nat))))) % 0.92/1.18 (assume @p107 (forall @t267 (or (tptp.c_HOL_Oord__class_Oless @t223 @t266 tptp.tc_nat) @t265))) % 0.92/1.18 (assume @p108 (forall @t269 (or (tptp.c_HOL_Oord__class_Oless @t223 @t268 tptp.tc_nat) @t265))) % 0.92/1.18 (assume @p109 (forall @t274 (or @t60 @t273 @t272 @t271))) % 0.92/1.18 (assume @p110 (forall @t274 (or @t60 @t270 @t275 @t272))) % 0.92/1.18 (assume @p111 (forall @t274 (or @t60 @t273 @t271 @t272))) % 0.92/1.18 (assume @p112 (forall @t274 (or @t60 @t270 @t272 @t275))) % 0.92/1.18 (assume @p113 (forall (@list @t20 @t1) (or (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t27) @t20 tptp.tc_nat) @t2) (not (tptp.c_HOL_Oord__class_Oless @t2 @t20 tptp.tc_nat))))) % 0.92/1.18 (assume @p114 (= @t2 @t276)) % 0.92/1.18 (assume @p115 (forall (@list @t30 @t188 @t11 @t66 @t38) (or (= (tptp.hAPP @t278 @t277) @t38) @t174 @t190))) % 0.92/1.18 (assume @p116 (forall @t281 (or @t280 (not (tptp.c_Fun_Oinj__on @t188 @t30 @t279 @t11)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t30 @t188 @t279 @t11) @t277) @t38)))) % 0.92/1.18 (assume @p117 (forall @t43 (or @t284 (tptp.c_lessequals @t14 @t283 @t11)))) % 0.92/1.18 (assume @p118 (forall @t18 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t14 @t11) @t12)))) % 0.92/1.18 (assume @p119 (forall @t18 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t12 @t11) @t14)))) % 0.92/1.18 (assume @p120 (forall @t168 (or @t286 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t285 @t11) @t285)))) % 0.92/1.18 (assume @p121 (forall @t168 (or @t286 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t285 @t38 @t11) @t285)))) % 0.92/1.18 (assume @p122 (forall @t287 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t34 @t32 @t31) @t34))) % 0.92/1.18 (assume @p123 (forall @t288 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t34 @t31) @t34))) % 0.92/1.18 (assume @p124 (forall (@list @t11 @t12 @t55) (or @t42 (= @t108 @t289)))) % 0.92/1.18 (assume @p125 (forall @t54 (or @t107 (= @t58 @t290)))) % 0.92/1.18 (assume @p126 (forall @t46 (= @t101 @t139))) % 0.92/1.18 (assume @p127 (forall (@list @t1 @t292 @t20 @t8) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t292 tptp.tc_nat) @t294)) @t293 @t291))) % 0.92/1.18 (assume @p128 (forall @t43 (or @t42 (= @t91 (tptp.c_HOL_Oplus__class_Oplus @t39 @t38 @t11))))) % 0.92/1.18 (assume @p129 (forall @t46 (or @t296 @t295))) % 0.92/1.18 (assume @p130 (forall @t46 (or @t296 @t146))) % 0.92/1.18 (assume @p131 (forall @t46 (or (tptp.c_lessequals @t118 @t8 tptp.tc_nat) @t117))) % 0.92/1.18 (assume @p132 (forall @t288 (or @t298 (= (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 @t30 @t3 @t11) @t34)))) % 0.92/1.18 (assume @p133 (forall @t301 (or (not (tptp.class_Nat_Osemiring__char__0 @t11)) (not (= @t300 @t299)) @t143))) % 0.92/1.18 (assume @p134 (forall (@list @t11 @t38 @t12) (or @t151 @t150 (not (= @t38 (tptp.c_HOL_Oplus__class_Oplus @t38 @t12 @t11))) @t302))) % 0.92/1.18 (assume @p135 (forall @t46 (or (not (= @t101 @t1)) @t9))) % 0.92/1.18 (assume @p136 (forall (@list @t38 @t12) (or (not (= @t38 (tptp.c_HOL_Oplus__class_Oplus @t38 @t12 tptp.tc_nat))) (= @t12 @t3)))) % 0.92/1.18 (assume @p137 (forall @t191 (or @t304 @t248))) % 0.92/1.18 (assume @p138 (forall @t61 (or @t215 @t207 @t212 @t306))) % 0.92/1.18 (assume @p139 (forall @t61 (or @t215 @t207 @t212 @t308))) % 0.92/1.18 (assume @p140 (forall @t61 (or @t309 @t207 @t212 @t306))) % 0.92/1.18 (assume @p141 (forall @t61 (or @t309 @t207 @t212 @t308))) % 0.92/1.18 (assume @p142 (forall @t61 (or @t60 (= @t205 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t57 @t56 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p143 (forall @t29 (or @t145 @t143 @t310))) % 0.92/1.18 (assume @p144 (forall @t29 (or @t145 @t310 @t143))) % 0.92/1.18 (assume @p145 (forall @t25 (or (not (= @t23 @t22)) @t310 @t143))) % 0.92/1.18 (assume @p146 (forall @t312 (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t1 @t11) (tptp.c_HOL_Otimes__class_Otimes @t311 @t1 @t11))))) % 0.92/1.18 (assume @p147 (forall @t288 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t34 @t31) @t30))) % 0.92/1.18 (assume @p148 (forall @t288 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t30 @t31) @t34))) % 0.92/1.18 (assume @p149 (forall @t43 (or @t50 @t316 @t315 @t314 @t313))) % 0.92/1.18 (assume @p150 (forall @t43 (or @t50 @t316 @t315 @t314 @t317))) % 0.92/1.18 (assume @p151 (forall @t46 (or @t318 @t70))) % 0.92/1.18 (assume @p152 (forall @t46 (or @t318 @t9))) % 0.92/1.18 (assume @p153 (forall @t18 (or @t17 (not (= @t13 @t14)) @t302))) % 0.92/1.18 (assume @p154 (= @t2 @t7)) % 0.92/1.18 (assume @p155 (forall @t243 (or @t321 @t320 (not @t319)))) % 0.92/1.18 (assume @p156 (forall @t46 (or @t147 @t70 @t295))) % 0.92/1.18 (assume @p157 (forall @t18 (or @t322 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t252 @t11) @t12)))) % 0.92/1.18 (assume @p158 (forall @t29 (or @t21 @t324))) % 0.92/1.18 (assume @p159 (forall @t29 (or @t21 @t326))) % 0.92/1.18 (assume @p160 (forall @t312 (or @t141 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t327 @t11) (tptp.c_HOL_Oplus__class_Oplus @t140 @t300 @t11))))) % 0.92/1.18 (assume @p161 (forall @t102 (or @t328 @t144 (not @t24)))) % 0.92/1.18 (assume @p162 (forall @t102 (or @t328 @t144 @t329))) % 0.92/1.18 (assume @p163 (forall @t102 (or @t328 @t329 @t144))) % 0.92/1.18 (assume @p164 (forall @t29 (or @t28 @t330 @t144))) % 0.92/1.18 (assume @p165 (forall @t138 (or @t284 @t258 @t334 @t332))) % 0.92/1.18 (assume @p166 (forall @t201 (or @t284 @t333 @t259 @t332))) % 0.92/1.18 (assume @p167 (forall @t61 (or @t284 @t337 @t334 @t336))) % 0.92/1.18 (assume @p168 (forall @t201 (or @t284 @t333 @t338 @t336))) % 0.92/1.18 (assume @p169 (forall @t61 (or @t215 @t337 @t336 @t334))) % 0.92/1.18 (assume @p170 (forall @t61 (or @t215 @t337 @t336 (not @t339)))) % 0.92/1.18 (assume @p171 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t7 @t45 tptp.tc_nat) @t341 @t340))) % 0.92/1.18 (assume @p172 (forall (@list @t188 @t11 @t66) (tptp.c_Fun_Oinj__on @t188 @t34 @t11 @t66))) % 0.92/1.18 (assume @p173 (forall @t10 (tptp.c_HOL_Oord__class_Oless @t3 @t158 tptp.tc_nat))) % 0.92/1.18 (assume @p174 (forall @t343 (tptp.c_HOL_Oord__class_Oless @t3 @t342 tptp.tc_nat))) % 0.92/1.18 (assume @p175 (forall @t37 (= @t35 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t30 @t31)))) % 0.92/1.18 (assume @p176 (forall @t43 (or @t346 @t345))) % 0.92/1.18 (assume @p177 (forall @t43 (or @t347 @t345))) % 0.92/1.18 (assume @p178 (forall (@list @t223 @t116 @t224 @t20) (= (tptp.c_HOL_Oplus__class_Oplus @t228 (tptp.c_HOL_Oplus__class_Oplus @t226 @t20 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t263 @t116 tptp.tc_nat) @t20 tptp.tc_nat)))) % 0.92/1.18 (assume @p179 (forall (@list @t11 @t12 @t181 @t51 @t55) (or (not (tptp.class_Ring__and__Field_Osemiring @t11)) (= (tptp.c_HOL_Oplus__class_Oplus @t185 (tptp.c_HOL_Oplus__class_Oplus @t184 @t55 @t11) @t11) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t58 @t181 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p180 (forall @t48 (or @t141 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t3 @t11) @t14)))) % 0.92/1.18 (assume @p181 (forall @t350 (= @t349 @t348))) % 0.92/1.18 (assume @p182 (forall @t115 (or @t114 @t352))) % 0.92/1.18 (assume @p183 (forall @t46 (or @t4 @t352))) % 0.92/1.18 (assume @p184 (forall @t54 (or @t50 @t356 @t355 @t354))) % 0.92/1.18 (assume @p185 (forall @t18 (or @t42 @t302 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t14 @t12 @t11))))) % 0.92/1.18 (assume @p186 (forall @t43 (or @t284 @t317 @t357))) % 0.92/1.18 (assume @p187 (forall @t358 (or @t284 @t313 @t357))) % 0.92/1.18 (assume @p188 (forall @t360 (or @t60 @t359 @t193))) % 0.92/1.18 (assume @p189 (forall @t360 (or @t60 (not @t359) @t192))) % 0.92/1.18 (assume @p190 (forall @t54 (or @t50 @t361 @t211 @t19))) % 0.92/1.18 (assume @p191 (forall @t54 (or @t50 @t361 @t63 @t163))) % 0.92/1.18 (assume @p192 (forall @t54 (or @t284 @t364 @t363 @t19))) % 0.92/1.18 (assume @p193 (forall @t54 (or @t284 @t364 @t63 @t366))) % 0.92/1.18 (assume @p194 (forall @t54 (or @t367 @t364 @t363 @t19))) % 0.92/1.18 (assume @p195 (forall @t54 (or @t367 @t364 @t63 @t366))) % 0.92/1.18 (assume @p196 (forall @t360 (or @t367 (tptp.c_lessequals @t52 @t14 @t11) @t363 @t19))) % 0.92/1.18 (assume @p197 (forall @t18 (or @t284 (not (tptp.c_HOL_Oord__class_Oless @t368 @t14 @t11))))) % 0.92/1.18 (assume @p198 (forall @t191 (or @t369 @t248))) % 0.92/1.18 (assume @p199 (forall @t29 (or @t374 @t370))) % 0.92/1.18 (assume @p200 (forall @t102 (or @t291 (not @t374)))) % 0.92/1.18 (assume @p201 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t2 tptp.tc_nat)) % 0.92/1.18 (assume @p202 (forall @t99 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t38 @t39 tptp.tc_nat) @t97)) @t375))) % 0.92/1.18 (assume @p203 (forall @t25 (or (not (= @t376 @t100)) @t143))) % 0.92/1.18 (assume @p204 (forall @t29 (or (not (= @t377 @t294)) @t143))) % 0.92/1.18 (assume @p205 (forall @t94 (or @t151 @t150 (not (= @t91 @t95)) @t375))) % 0.92/1.18 (assume @p206 (forall @t61 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t11)) @t379 @t378))) % 0.92/1.18 (assume @p207 (forall @t61 (or @t380 @t379 @t378))) % 0.92/1.18 (assume @p208 (forall @t138 (or @t380 (not (= @t290 @t289)) @t378))) % 0.92/1.18 (assume @p209 (forall @t43 (or @t382 (tptp.c_lessequals @t41 @t38 @t11) @t381 @t315 @t314))) % 0.92/1.18 (assume @p210 (forall @t358 (or @t382 (tptp.c_lessequals @t40 @t38 @t11) @t381 @t315 @t314))) % 0.92/1.18 (assume @p211 (forall @t46 (or (not @t385) (= @t383 @t3)))) % 0.92/1.18 (assume @p212 (forall @t61 (or @t60 (= @t205 @t206)))) % 0.92/1.18 (assume @p213 (forall @t61 (or @t60 (= @t205 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t12 @t56 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p214 (forall @t46 (or @t386 @t146 @t9))) % 0.92/1.18 (assume @p215 (forall @t46 (or @t386 @t70 @t295))) % 0.92/1.18 (assume @p216 (forall @t43 (or @t284 @t387 @t317))) % 0.92/1.18 (assume @p217 (forall @t43 (or @t284 @t387 @t313))) % 0.92/1.18 (assume @p218 (forall (@list @t11 @t12 @t51 @t55 @t109) (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t110 @t11) (tptp.c_HOL_Oplus__class_Oplus @t108 @t388 @t11))))) % 0.92/1.18 (assume @p219 (forall @t180 (or @t170 @t390 @t179 @t80))) % 0.92/1.18 (assume @p220 (forall @t312 (or @t391 (not (tptp.c_HOL_Oord__class_Oless @t300 @t14 @t11))))) % 0.92/1.18 (assume @p221 (forall @t61 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t103 @t11) @t393 @t193))) % 0.92/1.18 (assume @p222 (forall (@list @t11 @t188 @t66 @t394) (or (= (tptp.c_Set_Oimage @t395 (tptp.c_Set_Oimage @t188 @t394 @t11 @t66) @t66 @t11) @t394) @t248))) % 0.92/1.18 (assume @p223 (forall (@list @t11 @t188 @t66 @t30) (or (= (tptp.c_Set_Oimage @t395 @t249 @t66 @t11) @t30) @t248))) % 0.92/1.18 (assume @p224 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 (tptp.c_HOL_Ominus__class_Ominus @t32 @t30 @t31) @t31) @t34))) % 0.92/1.18 (assume @p225 (forall @t6 (or @t295 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t1 @t7 tptp.tc_nat))))) % 0.92/1.18 (assume @p226 (forall @t201 (or @t284 @t331 @t335 @t308))) % 0.92/1.18 (assume @p227 (forall @t138 (or @t284 @t396 @t207 @t308))) % 0.92/1.18 (assume @p228 (forall @t201 (or @t284 @t331 @t335 @t306))) % 0.92/1.18 (assume @p229 (forall @t138 (or @t284 @t396 @t207 @t306))) % 0.92/1.18 (assume @p230 (= @t276 @t2)) % 0.92/1.18 (assume @p231 (forall @t48 (not (tptp.c_HOL_Oord__class_Oless @t3 @t397 tptp.tc_nat)))) % 0.92/1.18 (assume @p232 (forall @t402 (or @t401 (not (tptp.hBOOL (tptp.hAPP @t398 @t399)))))) % 0.92/1.18 (assume @p233 (forall @t29 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t118 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t27 @t26 tptp.tc_nat)))) % 0.92/1.18 (assume @p234 (forall @t102 (= (tptp.c_HOL_Otimes__class_Otimes @t118 @t20 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t23 @t22 tptp.tc_nat)))) % 0.92/1.18 (assume @p235 (forall @t25 (or @t323 @t370 @t144))) % 0.92/1.18 (assume @p236 (forall @t29 (or @t325 @t370 @t144))) % 0.92/1.18 (assume @p237 (forall @t405 (or (tptp.c_HOL_Oord__class_Oless @t404 @t403 tptp.tc_nat) @t144 @t265))) % 0.92/1.18 (assume @p238 (forall @t264 (or (tptp.c_HOL_Oord__class_Oless @t407 @t406 tptp.tc_nat) @t144 @t265))) % 0.92/1.18 (assume @p239 (forall @t102 (or @t291 @t326 @t144))) % 0.92/1.18 (assume @p240 (forall @t138 (or @t284 @t396 @t308 @t332))) % 0.92/1.18 (assume @p241 (forall @t201 (or @t284 @t307 @t408 @t332))) % 0.92/1.18 (assume @p242 (forall @t61 (or @t284 @t207 @t308 @t336))) % 0.92/1.18 (assume @p243 (forall @t201 (or @t284 @t307 @t208 @t336))) % 0.92/1.18 (assume @p244 (forall @t201 (or @t284 @t307 @t332 @t408))) % 0.92/1.18 (assume @p245 (forall @t201 (or @t215 @t307 @t336 @t208))) % 0.92/1.18 (assume @p246 (forall @t197 (or @t284 @t305 @t332 @t408))) % 0.92/1.18 (assume @p247 (forall @t197 (or @t215 @t305 @t336 @t208))) % 0.92/1.18 (assume @p248 (forall @t197 (or @t284 @t305 @t208 @t336))) % 0.92/1.18 (assume @p249 (forall @t197 (or @t284 @t305 @t408 @t332))) % 0.92/1.18 (assume @p250 (forall @t201 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t11)) @t307 @t336 @t208))) % 0.92/1.18 (assume @p251 (forall @t410 (or @t321 @t319 @t409))) % 0.92/1.18 (assume @p252 (forall @t243 (or @t321 @t320 (not @t411)))) % 0.92/1.18 (assume @p253 (forall @t412 (or @t321 @t411 @t409))) % 0.92/1.18 (assume @p254 (forall @t288 (or @t298 (= (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 @t30 @t3 @t11) @t34)))) % 0.92/1.18 (assume @p255 (forall @t54 (or @t415 @t414 @t413 @t302))) % 0.92/1.18 (assume @p256 (forall @t54 (or @t416 @t414 @t413 @t302))) % 0.92/1.18 (assume @p257 (forall @t54 (or @t416 @t414 @t302 @t413))) % 0.92/1.18 (assume @p258 (forall @t46 (or (not (= @t45 @t3)) @t9 @t70))) % 0.92/1.18 (assume @p259 (forall (@list @t1 @t12 @t51 @t11 @t66 @t55 @t109) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t1 @t12 @t51 @t11 @t66) @t55 @t109 @t11 @t66) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t1 @t55 @t109 @t11 @t66) @t12 @t51 @t11 @t66)) @t417))) % 0.92/1.18 (assume @p260 (forall @t288 (not (tptp.c_HOL_Oord__class_Oless @t30 @t34 @t31)))) % 0.92/1.18 (assume @p261 (forall @t422 (or @t60 @t421 @t420 (= @t59 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t419 @t418 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p262 (tptp.c_HOL_Oord__class_Oless @t3 @t7 tptp.tc_nat)) % 0.92/1.18 (assume @p263 (forall @t18 (or @t17 @t423 @t354))) % 0.92/1.18 (assume @p264 (forall @t18 (or @t17 @t353 @t424))) % 0.92/1.18 (assume @p265 (forall @t18 (or @t382 @t353 @t424))) % 0.92/1.18 (assume @p266 (forall @t18 (or @t382 @t423 @t354))) % 0.92/1.18 (assume @p267 (forall @t46 (or @t147 @t146 @t295))) % 0.92/1.18 (assume @p268 (forall @t46 (or @t147 @t70 @t9))) % 0.92/1.18 (assume @p269 (forall @t360 (or @t215 @t210 @t163 (not (tptp.c_HOL_Oord__class_Oless @t14 @t52 @t11))))) % 0.92/1.18 (assume @p270 (forall @t360 (or @t215 @t210 @t163 (not @t425)))) % 0.92/1.18 (assume @p271 (forall @t54 (or @t215 @t425 @t211 @t163))) % 0.92/1.18 (assume @p272 (forall @t54 (or @t284 @t425 @t355 @t354))) % 0.92/1.18 (assume @p273 (forall @t46 (or @t351 @t117 @t5))) % 0.92/1.18 (assume @p274 (forall @t428 (or @t427 @t248 @t426))) % 0.92/1.18 (assume @p275 (forall @t46 (= (tptp.c_HOL_Otimes__class_Otimes @t1 @t158 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t1 @t45 tptp.tc_nat)))) % 0.92/1.18 (assume @p276 (forall @t46 (= (tptp.c_HOL_Otimes__class_Otimes @t327 @t8 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t8 @t45 tptp.tc_nat)))) % 0.92/1.18 (assume @p277 (forall @t48 (or @t391 (not (tptp.c_HOL_Oord__class_Oless @t140 @t14 @t11))))) % 0.92/1.18 (assume @p278 (forall @t94 (or @t347 @t431))) % 0.92/1.18 (assume @p279 (forall @t94 (or @t347 @t432))) % 0.92/1.18 (assume @p280 (forall @t94 (or @t346 @t432))) % 0.92/1.18 (assume @p281 (forall @t94 (or @t346 @t431))) % 0.92/1.18 (assume @p282 (forall @t435 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t35 @t81 @t31) @t434))) % 0.92/1.18 (assume @p283 (forall (@list @t30 @t32 @t81 @t11) (= @t434 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t32 @t436 @t31)))) % 0.92/1.18 (assume @p284 (forall @t48 (or @t142 (not (= @t140 @t14))))) % 0.92/1.18 (assume @p285 (forall @t48 (or (tptp.c_HOL_Oord__class_Oless @t3 @t439 tptp.tc_nat) @t438))) % 0.92/1.18 (assume @p286 (forall @t43 (or @t284 (not (tptp.c_HOL_Oord__class_Oless @t283 @t14 @t11))))) % 0.92/1.18 (assume @p287 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t7 @t7 tptp.tc_nat)) % 0.92/1.18 (assume @p288 (forall @t301 (or @t141 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t45 @t11) (tptp.c_HOL_Otimes__class_Otimes @t300 @t299 @t11))))) % 0.92/1.18 (assume @p289 (forall @t441 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t440) @t8 tptp.tc_nat) @t383))) % 0.92/1.18 (assume @p290 (forall (@list @t11 @t442 @t39 @t38 @t74) (or @t151 @t150 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t442 @t39 @t11) @t148 @t11) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t442 @t74 @t11) @t41 @t11))) @t375 @t443))) % 0.92/1.18 (assume @p291 (forall @t216 (or @t151 @t150 (not (= (tptp.c_HOL_Oplus__class_Oplus @t195 @t213 @t11) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t12 @t109 @t11) @t194 @t11))) @t445 @t444))) % 0.92/1.18 (assume @p292 (forall (@list @t12 @t55 @t51 @t109) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t12 @t55 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t51 @t109 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t12 @t109 tptp.tc_nat) @t446 tptp.tc_nat))) @t445 @t444))) % 0.92/1.18 (assume @p293 (forall (@list @t442 @t39 @t38 @t74) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t442 @t39 tptp.tc_nat) @t157 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t442 @t74 tptp.tc_nat) @t156 tptp.tc_nat))) @t375 @t443))) % 0.92/1.18 (assume @p294 (forall @t18 (or @t322 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t252 @t11) @t12)))) % 0.92/1.18 (assume @p295 (forall @t447 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t30 @t31) @t34))) % 0.92/1.18 (assume @p296 (forall @t449 (or (not (= @t249 @t303)) @t248 @t448))) % 0.92/1.18 (assume @p297 (forall @t54 (or @t50 @t356 @t355 @t366))) % 0.92/1.18 (assume @p298 (forall @t54 (or @t50 @t356 @t363 @t354))) % 0.92/1.18 (assume @p299 (forall @t46 (or (not (= @t1 @t45)) @t70 @t131))) % 0.92/1.18 (assume @p300 (forall @t48 (or @t284 (tptp.c_lessequals @t451 @t14 @t11)))) % 0.92/1.18 (assume @p301 (forall @t454 (or @t286 @t453 (= @t32 @t452)))) % 0.92/1.18 (assume @p302 (forall @t454 (or @t286 @t453 (= @t30 @t452)))) % 0.92/1.18 (assume @p303 (forall @t422 (or @t60 @t421 @t420 (= @t205 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t419 @t418 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p304 (forall @t18 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t14 @t11)))) % 0.92/1.18 (assume @p305 (= (tptp.c_HOL_Otimes__class_Otimes @t7 @t7 tptp.tc_nat) @t7)) % 0.92/1.18 (assume @p306 (forall @t463 (or @t42 (= @t462 (tptp.c_HOL_Otimes__class_Otimes @t459 (tptp.c_HOL_Otimes__class_Otimes @t456 @t455 @t11) @t11))))) % 0.92/1.18 (assume @p307 (forall @t463 (or @t42 (= @t462 (tptp.c_HOL_Otimes__class_Otimes @t458 (tptp.c_HOL_Otimes__class_Otimes @t456 @t460 @t11) @t11))))) % 0.92/1.18 (assume @p308 (forall @t463 (or @t42 (= @t462 (tptp.c_HOL_Otimes__class_Otimes @t457 (tptp.c_HOL_Otimes__class_Otimes @t461 @t455 @t11) @t11))))) % 0.92/1.18 (assume @p309 (forall @t48 (or @t391 (tptp.c_lessequals @t14 @t140 @t11)))) % 0.92/1.18 (assume @p310 (forall @t18 (or @t42 @t465))) % 0.92/1.18 (assume @p311 (forall @t18 (or @t42 @t467))) % 0.92/1.18 (assume @p312 (forall @t18 (or @t415 @t467))) % 0.92/1.18 (assume @p313 (forall (@list @t11 @t51) (or @t415 (= @t468 @t14)))) % 0.92/1.18 (assume @p314 (forall @t18 (or @t469 @t467))) % 0.92/1.18 (assume @p315 (forall @t18 (or @t469 @t465))) % 0.92/1.18 (assume @p316 (forall @t10 (= @t470 @t3))) % 0.92/1.18 (assume @p317 (forall @t6 (= @t471 @t3))) % 0.92/1.18 (assume @p318 (forall @t168 (or @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t38 @t11) @t14)))) % 0.92/1.18 (assume @p319 (forall (@list @t11 @t12 @t1) (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t474 @t1 @t11) @t473)))) % 0.92/1.18 (assume @p320 (forall (@list @t11 @t1 @t12) (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t474 @t11) @t473)))) % 0.92/1.18 (assume @p321 (forall @t168 (not (tptp.hBOOL (tptp.hAPP @t34 @t38))))) % 0.92/1.18 (assume @p322 (forall @t475 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t81 @t33 @t31) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Lattices_Olower__semilattice__class_Oinf @t81 @t30 @t31) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t81 @t32 @t31) @t31)))) % 0.92/1.18 (assume @p323 (forall @t435 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t81 @t31) @t476))) % 0.92/1.18 (assume @p324 (forall @t6 (= (tptp.c_Divides_Odiv__class_Omod @t1 @t7 tptp.tc_nat) @t3))) % 0.92/1.18 (assume @p325 (forall @t48 (not (= @t247 @t34)))) % 0.92/1.18 (assume @p326 (forall @t46 (or (= @t101 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t71 @t8 tptp.tc_nat))) @t70))) % 0.92/1.18 (assume @p327 (forall @t481 (or @t480 (tptp.c_HOL_Oord__class_Oless @t479 @t224 tptp.tc_nat) @t478 @t237))) % 0.92/1.18 (assume @p328 (forall @t483 (= (tptp.c_Fun_Ofun__upd @t482 @t38 @t74 @t11 @t66) (tptp.c_Fun_Ofun__upd @t188 @t38 @t74 @t11 @t66)))) % 0.92/1.18 (assume @p329 (forall @t485 (or @t484 @t174 @t36))) % 0.92/1.18 (assume @p330 (forall @t18 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t140 @t11) @t14)))) % 0.92/1.18 (assume @p331 (forall @t168 (or @t286 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t452 @t11) @t38)))) % 0.92/1.18 (assume @p332 (forall @t168 (or @t286 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t452 @t38 @t11) @t38)))) % 0.92/1.18 (assume @p333 (forall @t287 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t247 @t32 @t31) @t32))) % 0.92/1.18 (assume @p334 (forall @t288 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t247 @t31) @t30))) % 0.92/1.18 (assume @p335 (forall @t489 (= @t488 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t486 @t31)))) % 0.92/1.18 (assume @p336 (forall @t492 (or @t491 (not @t490)))) % 0.92/1.18 (assume @p337 (forall @t492 (or @t490 @t493))) % 0.92/1.18 (assume @p338 (forall @t84 (= @t476 (tptp.c_HOL_Ominus__class_Ominus @t436 @t32 @t31)))) % 0.92/1.18 (assume @p339 (forall @t46 (or (= @t118 @t1) @t370))) % 0.92/1.18 (assume @p340 (= @t7 @t160)) % 0.92/1.18 (assume @p341 (forall @t494 (not (tptp.c_HOL_Oord__class_Oless @t38 @t38 @t31)))) % 0.92/1.18 (assume @p342 (forall @t343 (not @t495))) % 0.92/1.18 (assume @p343 (forall @t10 (not (tptp.c_HOL_Oord__class_Oless @t8 @t8 tptp.tc_nat)))) % 0.92/1.18 (assume @p344 (forall @t168 (or @t89 @t497))) % 0.92/1.18 (assume @p345 (forall @t168 (or @t322 @t497))) % 0.92/1.18 (assume @p346 (forall @t168 (or @t77 @t497))) % 0.92/1.18 (assume @p347 (forall @t168 (tptp.hBOOL (tptp.hAPP @t247 @t38)))) % 0.92/1.18 (assume @p348 (forall @t54 (or @t50 @t361 @t211 @t163))) % 0.92/1.18 (assume @p349 (forall @t48 (or @t391 (not (tptp.c_lessequals @t140 @t14 @t11))))) % 0.92/1.18 (assume @p350 (forall @t358 (or @t382 @t85 @t72 @t426))) % 0.92/1.18 (assume @p351 (forall @t48 (= @t397 @t3))) % 0.92/1.18 (assume @p352 (forall @t288 (or @t501 @t500 @t498))) % 0.92/1.18 (assume @p353 (forall @t216 (or @t504 @t503 @t212 @t63 @t502 @t338))) % 0.92/1.18 (assume @p354 (forall @t216 (or @t504 @t503 @t212 @t19 @t502 @t338))) % 0.92/1.18 (assume @p355 (forall @t48 (or @t391 (tptp.c_HOL_Oord__class_Oless @t14 @t311 @t11)))) % 0.92/1.18 (assume @p356 (forall (@list @t32 @t38 @t30 @t11) (or @t507 @t506))) % 0.92/1.18 (assume @p357 (forall @t180 (or @t508 @t506))) % 0.92/1.18 (assume @p358 (forall @t441 (= (tptp.c_Divides_Odiv__class_Omod @t440 @t8 tptp.tc_nat) @t118))) % 0.92/1.18 (assume @p359 (forall @t197 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t12 @t198 @t11) @t51 @t11) @t159)))) % 0.92/1.18 (assume @p360 (forall @t61 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t12 @t194 @t11) @t51 @t11) @t159)))) % 0.92/1.18 (assume @p361 (forall @t428 (or (not (= @t482 @t188)) (= @t277 @t39)))) % 0.92/1.18 (assume @p362 (forall (@list @t11 @t12 @t1 @t51) (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t474 (tptp.c_HOL_Otimes__class_Otimes @t51 @t1 @t11) @t11) (tptp.c_HOL_Otimes__class_Otimes @t58 @t1 @t11))))) % 0.92/1.18 (assume @p363 (forall @t102 (or @t202 @t310 @t509))) % 0.92/1.18 (assume @p364 (forall @t61 (or @t151 @t192 @t510 (not @t200)))) % 0.92/1.18 (assume @p365 (forall @t61 (or @t151 @t192 @t510 (not @t196)))) % 0.92/1.18 (assume @p366 (forall @t511 (or @t391 (tptp.c_lessequals @t14 @t299 @t11)))) % 0.92/1.18 (assume @p367 (forall @t312 (or @t391 (tptp.c_lessequals @t14 @t300 @t11)))) % 0.92/1.18 (assume @p368 (forall (@list @t188 @t32 @t11 @t66 @t30) (or (tptp.c_lessequals @t217 @t30 @t31) @t512 @t248))) % 0.92/1.18 (assume @p369 (forall @t168 (or @t42 (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t38 @t11) @t38)))) % 0.92/1.18 (assume @p370 (forall @t18 (or @t107 @t513))) % 0.92/1.18 (assume @p371 (forall @t343 (= @t38 (tptp.c_HOL_Oplus__class_Oplus @t38 @t3 tptp.tc_nat)))) % 0.92/1.18 (assume @p372 (forall @t10 (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t8 tptp.tc_nat) @t8))) % 0.92/1.18 (assume @p373 (forall @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t3 tptp.tc_nat) @t1))) % 0.92/1.18 (assume @p374 (forall @t168 (or @t151 @t150 (= @t38 (tptp.c_HOL_Oplus__class_Oplus @t38 @t14 @t11))))) % 0.92/1.18 (assume @p375 (forall @t18 (or @t107 @t514))) % 0.92/1.18 (assume @p376 (forall @t18 (or @t515 @t513))) % 0.92/1.18 (assume @p377 (forall @t18 (or @t515 @t514))) % 0.92/1.18 (assume @p378 (forall @t18 (or @t42 @t514))) % 0.92/1.18 (assume @p379 (forall @t18 (or @t42 @t513))) % 0.92/1.18 (assume @p380 (forall @t48 (or @t284 (not (tptp.c_HOL_Oord__class_Oless @t14 @t451 @t11))))) % 0.92/1.18 (assume @p381 (forall @t54 (or @t284 @t365 @t16 @t517))) % 0.92/1.18 (assume @p382 (forall @t360 (or @t284 @t362 @t16 @t517))) % 0.92/1.18 (assume @p383 (forall @t54 (or @t284 @t365 @t62 @t517))) % 0.92/1.18 (assume @p384 (forall @t360 (or @t284 @t362 @t62 @t517))) % 0.92/1.18 (assume @p385 (forall @t301 (or @t391 (tptp.c_HOL_Oord__class_Oless @t140 (tptp.c_HOL_Otimes__class_Otimes @t1 @t8 @t11) @t11) (not (tptp.c_HOL_Oord__class_Oless @t140 @t8 @t11)) (not (tptp.c_HOL_Oord__class_Oless @t140 @t1 @t11))))) % 0.92/1.18 (assume @p386 (forall (@list @t224 @t20 @t398 @t223) (or @t518 @t310 (not (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t404 @t224 tptp.tc_nat) @t20 tptp.tc_nat)))) @t477))) % 0.92/1.18 (assume @p387 (forall @t216 (or @t520 @t519 @t209 @t338))) % 0.92/1.18 (assume @p388 (forall @t216 (or @t520 @t519 @t502 @t208))) % 0.92/1.18 (assume @p389 (forall @t220 (= (tptp.c_Set_Ovimage @t188 @t521 @t11 @t66) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t218 @t217 @t31)))) % 0.92/1.18 (assume @p390 (forall @t46 (or @t113 @t117))) % 0.92/1.18 (assume @p391 (forall @t46 (or @t113 @t5))) % 0.92/1.18 (assume @p392 (forall @t18 (or @t17 @t162 (not @t522)))) % 0.92/1.18 (assume @p393 (forall @t18 (or @t17 @t522 @t163))) % 0.92/1.18 (assume @p394 (forall @t128 (or @t127 @t125 @t124 @t123))) % 0.92/1.18 (assume @p395 (forall @t128 (or @t127 @t126 @t125 @t123))) % 0.92/1.18 (assume @p396 (forall @t528 (or @t527 @t526 @t524))) % 0.92/1.18 (assume @p397 (forall @t494 @t530)) % 0.92/1.18 (assume @p398 (forall @t532 (or @t531 @t530))) % 0.92/1.18 (assume @p399 (forall (@list @t55 @t11) (not (tptp.c_in @t55 @t34 @t11)))) % 0.92/1.18 (assume @p400 (forall (@list @t12 @t11) (not (tptp.c_in @t12 @t34 @t11)))) % 0.92/1.18 (assume @p401 (forall @t494 (tptp.c_in @t38 @t247 @t11))) % 0.92/1.18 (assume @p402 (forall @t535 (or @t526 @t534))) % 0.92/1.18 (assume @p403 (forall @t536 (or @t523 @t534))) % 0.92/1.18 (assume @p404 (forall @t535 (or @t525 @t524 @t80))) % 0.92/1.18 (assume @p405 (forall @t535 (or @t525 @t537))) % 0.92/1.18 (assume @p406 (forall @t536 (or @t523 @t537))) % 0.92/1.18 (assume @p407 (forall @t539 (or @t427 @t538 @t174 @t426 @t190))) % 0.92/1.18 (assume @p408 (forall @t539 (or @t427 @t538 @t174 @t190 @t426))) % 0.92/1.18 (assume @p409 (forall (@list @t188 @t38 @t540 @t30 @t11 @t66) (or (not (= @t277 (tptp.hAPP @t188 @t540))) (not (tptp.c_in @t540 @t30 @t11)) @t174 @t190 (= @t38 @t540)))) % 0.92/1.18 (assume @p410 (forall @t539 (or @t427 @t190 @t426 @t538 @t174))) % 0.92/1.18 (assume @p411 (forall @t532 (or @t541 @t530))) % 0.92/1.18 (assume @p412 (forall @t528 (or @t533 @t525 @t524))) % 0.92/1.18 (assume @p413 (forall (@list @t12 @t188 @t32 @t11 @t66) (or @t544 (not @t543)))) % 0.92/1.18 (assume @p414 (forall (@list @t12 @t188 @t30 @t66 @t11) (or (tptp.c_in @t12 @t487 @t66) (not (tptp.c_in @t542 @t30 @t11))))) % 0.92/1.18 (assume @p415 (forall (@list @t12 @t188 @t32 @t66 @t11) (or (tptp.c_in @t12 @t545 @t66) (not (tptp.c_in @t542 @t32 @t11))))) % 0.92/1.18 (assume @p416 (forall @t546 (or @t543 (not @t544)))) % 0.92/1.18 (assume @p417 (forall (@list @t188 @t12 @t30 @t66 @t11) (or (tptp.c_in @t542 @t30 @t66) (not (tptp.c_in @t12 @t218 @t11))))) % 0.92/1.18 (assume @p418 (forall @t43 (or @t322 @t426 @t72 @t548))) % 0.92/1.18 (assume @p419 (forall @t43 (or @t322 @t426 @t548 @t72))) % 0.92/1.18 (assume @p420 (forall @t54 (or @t89 @t207 @t338 @t444))) % 0.92/1.18 (assume @p421 (forall @t54 (or @t89 @t207 @t444 @t338))) % 0.92/1.18 (assume @p422 (forall @t43 (or @t89 @t72 @t426 @t548))) % 0.92/1.18 (assume @p423 (forall @t43 (or @t89 @t426 @t72 @t548))) % 0.92/1.18 (assume @p424 (forall @t360 (or @t89 @t396 @t259 @t444))) % 0.92/1.18 (assume @p425 (forall @t360 (or @t89 @t396 @t444 @t259))) % 0.92/1.18 (assume @p426 (forall (@list @t11 @t12 @t51 @t109 @t55) (or @t549 (tptp.c_lessequals @t12 @t388 @t11) @t502 (not (tptp.c_lessequals @t12 @t103 @t11))))) % 0.92/1.18 (assume @p427 (forall @t78 (or @t77 @t76 @t550 @t73))) % 0.92/1.18 (assume @p428 (forall @t78 (or @t77 @t76 @t75 @t548))) % 0.92/1.18 (assume @p429 (forall @t90 (or @t89 @t88 @t87 @t552))) % 0.92/1.18 (assume @p430 (forall @t90 (or @t89 @t88 @t553 @t86))) % 0.92/1.18 (assume @p431 (forall (@list @t11 @t394 @t188) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t11)) (tptp.c_lessequals @t394 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t188 @t11) @t11) (not (tptp.c_lessequals @t394 @t554 @t11))))) % 0.92/1.18 (assume @p432 (forall @t168 (or (not (tptp.class_Orderings_Otop @t11)) (tptp.c_lessequals @t38 @t452 @t11)))) % 0.92/1.18 (assume @p433 (forall @t43 (or @t346 @t555))) % 0.92/1.18 (assume @p434 (forall @t43 (or @t346 @t556))) % 0.92/1.18 (assume @p435 (forall @t560 (or @t346 @t559 (not @t558) (not @t557)))) % 0.92/1.18 (assume @p436 (forall @t94 (or @t346 @t562 (not @t561) @t548))) % 0.92/1.18 (assume @p437 (forall @t43 (or @t347 @t556))) % 0.92/1.18 (assume @p438 (forall @t43 (or @t347 @t555))) % 0.92/1.18 (assume @p439 (forall @t201 (or @t565 @t564 @t338))) % 0.92/1.18 (assume @p440 (forall @t197 (or @t565 @t566 @t338))) % 0.92/1.18 (assume @p441 (forall @t61 (or @t137 @t337 (not @t564)))) % 0.92/1.18 (assume @p442 (forall @t201 (or @t137 @t564 @t338))) % 0.92/1.18 (assume @p443 (forall @t61 (or @t137 @t337 (not @t566)))) % 0.92/1.18 (assume @p444 (forall @t197 (or @t137 @t566 @t338))) % 0.92/1.18 (assume @p445 (forall @t43 (or @t77 @t547 @t73))) % 0.92/1.18 (assume @p446 (forall @t43 (or @t89 @t547 @t73))) % 0.92/1.18 (assume @p447 (forall @t43 (or @t77 @t72 @t551 @t548))) % 0.92/1.18 (assume @p448 (forall @t43 (or @t322 @t426 @t85 @t72))) % 0.92/1.18 (assume @p449 (forall @t568 (or @t426 @t567 @t123))) % 0.92/1.18 (assume @p450 (forall @t569 (or @t567 @t426 @t123))) % 0.92/1.18 (assume @p451 (forall @t46 (or @t143 @t570 @t203))) % 0.92/1.18 (assume @p452 (forall @t115 (or @t571 @t291 @t143))) % 0.92/1.18 (assume @p453 (forall @t572 (or (tptp.hBOOL (tptp.hAPP @t400 @t1)) @t571 @t143 @t291))) % 0.92/1.18 (assume @p454 (forall @t568 (or @t426 @t123 @t567))) % 0.92/1.18 (assume @p455 (forall @t575 (or @t574 @t444 @t573))) % 0.92/1.18 (assume @p456 (forall @t575 (or @t574 @t573 @t444))) % 0.92/1.18 (assume @p457 (forall @t569 (or (tptp.c_HOL_Oord__class_Oless @t39 @t38 tptp.tc_nat) @t260 @t426))) % 0.92/1.18 (assume @p458 (forall @t358 (or @t322 @t85 @t72 @t426))) % 0.92/1.18 (assume @p459 (forall @t358 (or @t322 @t85 @t426 @t72))) % 0.92/1.18 (assume @p460 (forall @t43 (or @t322 @t426 @t72 @t85))) % 0.92/1.18 (assume @p461 (forall @t115 (or @t570 @t370 @t5))) % 0.92/1.18 (assume @p462 (forall @t10 (or (= @t576 @t8) @t117))) % 0.92/1.18 (assume @p463 (forall @t10 (or (= @t8 @t576) @t117))) % 0.92/1.18 (assume @p464 (forall @t216 (or @t520 @t519 @t209 @t208))) % 0.92/1.18 (assume @p465 (forall @t579 (or (tptp.c_HOL_Oord__class_Oless @t578 @t577 tptp.tc_nat) @t293 @t265))) % 0.92/1.18 (assume @p466 (forall @t581 (or @t346 @t580 (not (tptp.c_HOL_Oord__class_Oless @t51 @t38 @t11))))) % 0.92/1.18 (assume @p467 (forall @t581 (or @t346 @t580 (not (tptp.c_HOL_Oord__class_Oless @t12 @t38 @t11))))) % 0.92/1.18 (assume @p468 (forall @t197 (or @t42 @t392 (not @t582) @t193))) % 0.92/1.18 (assume @p469 (forall @t18 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t12 @t11)))) % 0.92/1.18 (assume @p470 (forall @t343 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 @t38 tptp.tc_nat))) % 0.92/1.18 (assume @p471 (forall @t584 (or @t583 @t126 @t125 @t124 @t123))) % 0.92/1.18 (assume @p472 (forall @t584 (or @t583 @t125 @t123))) % 0.92/1.18 (assume @p473 (forall @t54 (or @t549 @t207 (not @t585)))) % 0.92/1.18 (assume @p474 (forall @t54 (or @t549 @t585 @t208))) % 0.92/1.18 (assume @p475 (forall @t301 (or @t391 @t586 @t370))) % 0.92/1.18 (assume @p476 (forall @t301 (or @t391 @t291 (not @t586)))) % 0.92/1.18 (assume @p477 (forall @t54 (or @t151 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t466 (tptp.c_HOL_Otimes__class_Otimes @t51 @t14 @t11) @t11)))) % 0.92/1.18 (assume @p478 (forall @t54 (or @t151 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t464 @t468 @t11)))) % 0.92/1.18 (assume @p479 (forall @t46 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t587 @t470 tptp.tc_nat))) % 0.92/1.18 (assume @p480 (forall @t48 (or @t391 (tptp.c_HOL_Oord__class_Oless @t14 @t140 @t11)))) % 0.92/1.18 (assume @p481 (forall @t43 (or @t322 (not (= @t589 @t588)) @t426))) % 0.92/1.18 (assume @p482 (forall @t102 (or @t291 @t326))) % 0.92/1.18 (assume @p483 (forall @t102 (or @t291 @t324))) % 0.92/1.18 (assume @p484 (forall @t590 (= (tptp.c_Fun_Ofun__upd @t188 @t38 @t277 @t66 @t11) @t188))) % 0.92/1.18 (assume @p485 (forall (@list @t188 @t38 @t39 @t66 @t11) (= (tptp.hAPP @t591 @t38) @t39))) % 0.92/1.18 (assume @p486 (forall (@list @t188 @t38 @t11 @t66) (= (tptp.c_Fun_Ofun__upd @t188 @t38 @t277 @t11 @t66) @t188))) % 0.92/1.18 (assume @p487 (forall (@list @t188 @t38 @t39 @t11 @t279) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t188 @t38 @t39 @t11 @t279) @t38) @t39))) % 0.92/1.18 (assume @p488 (forall (@list @t188 @t38 @t279 @t11) (= (tptp.c_Fun_Ofun__upd @t188 @t38 @t277 @t279 @t11) @t188))) % 0.92/1.18 (assume @p489 (forall @t29 (or @t204 @t203 @t144))) % 0.92/1.18 (assume @p490 (forall @t102 (or @t202 @t509 @t144))) % 0.92/1.18 (assume @p491 (forall @t102 (or @t202 @t144 @t509))) % 0.92/1.18 (assume @p492 (forall @t18 (or @t391 (tptp.c_HOL_Oord__class_Oless @t12 @t472 @t11)))) % 0.92/1.18 (assume @p493 (forall @t43 (or @t592 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t41 @t11) @t41)))) % 0.92/1.18 (assume @p494 (forall (@list @t38 @t8 @t540 @t39 @t593) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Otimes__class_Otimes @t8 @t540 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t39 (tptp.c_HOL_Otimes__class_Otimes @t8 @t593 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t38 @t8 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t39 @t8 tptp.tc_nat))))) % 0.92/1.18 (assume @p495 (forall @t511 (or @t391 @t594 @t117))) % 0.92/1.18 (assume @p496 (forall @t511 (or @t391 @t114 (not @t594)))) % 0.92/1.18 (assume @p497 (forall @t216 (or @t215 @t214 @t336 @t19 @t502 @t208))) % 0.92/1.18 (assume @p498 (forall @t216 (or @t215 @t214 @t212 @t163 @t209 @t338))) % 0.92/1.18 (assume @p499 (forall @t18 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t140 @t12 @t11)))) % 0.92/1.18 (assume @p500 (forall @t288 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t247 @t31) @t34))) % 0.92/1.18 (assume @p501 (forall @t10 (or @t114 @t9))) % 0.92/1.18 (assume @p502 (not (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat))) % 0.92/1.18 (assume @p503 (forall @t54 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t58 @t51 @t11) @t159)))) % 0.92/1.18 (assume @p504 (forall @t360 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t290 @t51 @t11) @t159)))) % 0.92/1.18 (assume @p505 (forall @t360 (or @t284 @t62 @t362 @t595))) % 0.92/1.18 (assume @p506 (forall @t54 (or @t284 @t365 @t362 @t595))) % 0.92/1.18 (assume @p507 (forall @t360 (or @t284 @t62 @t16 @t595))) % 0.92/1.18 (assume @p508 (forall @t54 (or @t284 @t365 @t16 @t595))) % 0.92/1.18 (assume @p509 (forall @t360 (or @t215 (tptp.c_HOL_Oord__class_Oless @t52 @t14 @t11) @t355 @t163))) % 0.92/1.18 (assume @p510 (forall @t54 (or @t215 @t596 @t355 @t163))) % 0.92/1.18 (assume @p511 (forall @t54 (or @t215 @t596 @t211 @t354))) % 0.92/1.18 (assume @p512 (forall @t115 (or (tptp.c_HOL_Oord__class_Oless @t8 @t45 tptp.tc_nat) @t341 @t340))) % 0.92/1.18 (assume @p513 (forall @t115 (or (tptp.c_HOL_Oord__class_Oless @t8 @t44 tptp.tc_nat) @t341 @t340))) % 0.92/1.18 (assume @p514 (forall (@list @t11 @t51 @t55 @t12) (or @t42 @t582 @t597))) % 0.92/1.18 (assume @p515 (forall @t197 (or @t42 @t392 @t597))) % 0.92/1.18 (assume @p516 (forall @t61 (or @t42 @t598 @t193))) % 0.92/1.18 (assume @p517 (forall @t61 (or @t42 @t598 @t393))) % 0.92/1.18 (assume @p518 (forall @t138 (or @t391 @t136 @t135 @t163))) % 0.92/1.18 (assume @p519 (forall @t43 (or @t347 @t599))) % 0.92/1.18 (assume @p520 (forall @t43 (or @t346 @t599))) % 0.92/1.18 (assume @p521 (forall @t37 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t35 @t31) @t35))) % 0.92/1.18 (assume @p522 (forall @t61 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t159 @t55 @t11) @t57) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t55 @t51 @t11))))) % 0.92/1.18 (assume @p523 (forall @t18 (or @t17 @t600 @t366))) % 0.92/1.18 (assume @p524 (forall @t18 (or @t17 @t365 (not @t600)))) % 0.92/1.18 (assume @p525 (forall @t46 (= @t587 @t470))) % 0.92/1.18 (assume @p526 (forall @t46 (= @t471 (tptp.c_HOL_Otimes__class_Otimes @t8 @t3 tptp.tc_nat)))) % 0.92/1.18 (assume @p527 (forall @t601 (not (tptp.c_HOL_Oord__class_Oless @t263 @t223 tptp.tc_nat)))) % 0.92/1.18 (assume @p528 (forall (@list @t224 @t223) (not (tptp.c_HOL_Oord__class_Oless @t602 @t223 tptp.tc_nat)))) % 0.92/1.18 (assume @p529 (forall @t216 (or @t42 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t195 @t213 @t11) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t55 @t109 @t11)) @t193))) % 0.92/1.18 (assume @p530 (forall (@list @t51 @t604 @t55 @t603) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t51 (tptp.c_Divides_Odiv__class_Omod @t604 @t55 tptp.tc_nat) tptp.tc_nat) @t603 tptp.tc_nat) @t446 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t603 @t51 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t3 @t55 tptp.tc_nat))))) % 0.92/1.18 (assume @p531 (forall @t197 (or @t321 @t339 @t605 @t259))) % 0.92/1.18 (assume @p532 (forall @t201 (or @t321 @t333 @t605 @t259))) % 0.92/1.18 (assume @p533 (forall @t197 (or @t606 @t339 @t212 @t338))) % 0.92/1.18 (assume @p534 (forall @t201 (or @t606 @t333 @t212 @t338))) % 0.92/1.18 (assume @p535 (forall @t201 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t11)) @t333 @t212 @t338))) % 0.92/1.18 (assume @p536 (forall @t46 (or @t608 @t291))) % 0.92/1.18 (assume @p537 (forall (@list @t11 @t38 @t603 @t55 @t109) (or @t151 @t150 (not (= (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Otimes__class_Otimes @t603 @t55 @t11) @t11) (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Otimes__class_Otimes @t603 @t109 @t11) @t11))) @t445 (= @t603 @t14)))) % 0.92/1.18 (assume @p538 (forall (@list @t38 @t603 @t55 @t109) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Otimes__class_Otimes @t603 @t55 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Otimes__class_Otimes @t603 @t109 tptp.tc_nat) tptp.tc_nat))) @t445 (= @t603 @t3)))) % 0.92/1.18 (assume @p539 (forall @t43 (or @t284 @t609 @t313))) % 0.92/1.18 (assume @p540 (forall @t43 (or @t284 @t609 @t317))) % 0.92/1.18 (assume @p541 (forall @t264 (or @t612 (not @t611)))) % 0.92/1.18 (assume @p542 (forall @t613 (or @t611 (not @t612)))) % 0.92/1.18 (assume @p543 (forall @t168 (or @t346 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t38 @t38 @t11) @t38)))) % 0.92/1.18 (assume @p544 (forall @t288 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 @t30 @t31) @t30))) % 0.92/1.18 (assume @p545 (forall @t197 (or @t520 @t614 @t208))) % 0.92/1.18 (assume @p546 (forall @t197 (or @t137 @t614 @t208))) % 0.92/1.18 (assume @p547 (forall @t168 (or (not (tptp.class_Orderings_Obot @t11)) (tptp.c_lessequals @t285 @t38 @t11)))) % 0.92/1.18 (assume @p548 (forall @t216 (or @t565 (tptp.c_lessequals @t108 @t388 @t11) @t502 @t338))) % 0.92/1.18 (assume @p549 (forall @t43 (or @t322 @t72 @t551))) % 0.92/1.18 (assume @p550 (forall @t168 (or @t322 (not @t615) @t497))) % 0.92/1.18 (assume @p551 (forall @t168 (or @t322 @t496 @t615))) % 0.92/1.18 (assume @p552 (forall @t43 (or @t322 @t73 @t552))) % 0.92/1.18 (assume @p553 (forall @t358 (or @t322 @t551 @t72))) % 0.92/1.18 (assume @p554 (forall @t43 (or @t322 @t548 @t86))) % 0.92/1.18 (assume @p555 (forall @t358 (or @t322 @t85 @t547))) % 0.92/1.18 (assume @p556 (forall @t358 (or @t77 @t552 @t73))) % 0.92/1.18 (assume @p557 (forall @t43 (or @t346 @t616 @t548))) % 0.92/1.18 (assume @p558 (forall @t43 (or @t346 (not @t616) @t547))) % 0.92/1.18 (assume @p559 (forall @t43 (or @t346 (= @t344 @t39) @t552))) % 0.92/1.18 (assume @p560 (forall @t560 (or @t346 @t557 @t617))) % 0.92/1.18 (assume @p561 (forall (@list @t11 @t38 @t51 @t12) (or @t346 @t558 @t617))) % 0.92/1.18 (assume @p562 (forall @t581 (or @t346 @t618 (not (tptp.c_lessequals @t12 @t38 @t11))))) % 0.92/1.18 (assume @p563 (forall @t581 (or @t346 @t618 (not (tptp.c_lessequals @t51 @t38 @t11))))) % 0.92/1.18 (assume @p564 (forall @t94 (or @t346 @t547 @t619))) % 0.92/1.18 (assume @p565 (forall @t78 (or @t346 @t561 @t619))) % 0.92/1.18 (assume @p566 (forall @t412 (or @t321 @t622 @t621))) % 0.92/1.18 (assume @p567 (forall @t243 (or @t321 @t620 (not @t622)))) % 0.92/1.18 (assume @p568 (forall @t410 (or @t321 @t623 @t621))) % 0.92/1.18 (assume @p569 (forall @t243 (or @t321 @t620 (not @t623)))) % 0.92/1.18 (assume @p570 (forall @t447 (or @t322 (tptp.c_in @t624 @t30 @t11) @t498 @t500))) % 0.92/1.18 (assume @p571 (forall @t447 (or @t322 (tptp.c_in @t625 @t30 @t11) @t498 @t500))) % 0.92/1.18 (assume @p572 (forall @t632 (or @t549 @t631 @t72 (not @t628)))) % 0.92/1.18 (assume @p573 (forall @t632 (or @t549 @t631 @t628 @t73))) % 0.92/1.18 (assume @p574 (forall @t422 (or @t634 @t421 @t420 (= @t633 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t419 @t418 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p575 (forall @t94 (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t11)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 (tptp.c_HOL_Ominus__class_Ominus @t39 @t74 @t11) @t11) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 @t74 @t11)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t38 @t39 @t11))))) % 0.92/1.18 (assume @p576 (forall @t168 (or @t151 @t150 @t636))) % 0.92/1.18 (assume @p577 (forall @t18 (or @t637 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t12 @t11) @t14)))) % 0.92/1.18 (assume @p578 (forall @t18 (or @t637 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t14 @t11) @t12)))) % 0.92/1.18 (assume @p579 (forall @t168 (or @t637 @t636))) % 0.92/1.18 (assume @p580 (forall @t168 (or @t96 @t636))) % 0.92/1.18 (assume @p581 (forall @t54 (or @t637 (= (tptp.c_HOL_Oplus__class_Oplus @t182 @t51 @t11) @t12)))) % 0.92/1.18 (assume @p582 (forall @t61 (or @t634 (= @t633 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t57 @t51 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p583 (forall @t61 (or @t634 (= @t633 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t12 @t56 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p584 (forall @t43 (or @t151 @t150 (not (= @t630 @t14)) @t426))) % 0.92/1.18 (assume @p585 (forall @t54 (or @t637 @t638 @t444))) % 0.92/1.18 (assume @p586 (forall @t54 (or @t96 @t638 @t444))) % 0.92/1.18 (assume @p587 (forall @t61 (or @t634 (= @t633 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t57 @t56 @t11) @t55 @t11))))) % 0.92/1.18 (assume @p588 (forall @t54 (or @t637 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t51 @t11) @t12)))) % 0.92/1.18 (assume @p589 (forall @t350 (or (= @t349 @t30) @t640))) % 0.92/1.18 (assume @p590 (forall (@list @t188 @t12 @t51 @t66 @t11) (or (= @t542 @t51) (not (tptp.c_in @t12 (tptp.c_Set_Ovimage @t188 (tptp.c_Set_Oinsert @t51 @t641 @t66) @t11 @t66) @t11))))) % 0.92/1.18 (assume @p591 (forall (@list @t12 @t188 @t11 @t279) (tptp.c_in @t12 (tptp.c_Set_Ovimage @t188 (tptp.c_Set_Oinsert @t542 @t34 @t11) @t279 @t11) @t279))) % 0.92/1.18 (assume @p592 (forall @t643 (or (= (tptp.c_HOL_Ominus__class_Ominus @t642 @t175 @t31) @t30) @t173))) % 0.92/1.18 (assume @p593 (forall @t48 (or @t644 @t437))) % 0.92/1.18 (assume @p594 (forall @t48 (tptp.c_Finite__Set_Ofinite @t34 @t11))) % 0.92/1.18 (assume @p595 (forall @t37 (or @t646 @t500 @t645))) % 0.92/1.18 (assume @p596 (forall @t648 (or @t499 @t647 @t645))) % 0.92/1.18 (assume @p597 (forall @t37 (or @t646 @t500))) % 0.92/1.18 (assume @p598 (forall @t651 (or @t650 (not (tptp.c_Finite__Set_Ofinite @t649 @t11))))) % 0.92/1.18 (assume @p599 (forall @t651 (or @t650 @t65))) % 0.92/1.18 (assume @p600 (forall (@list @t188 @t38 @t39 @t11 @t66 @t30) (or (tptp.c_Fun_Oinj__on @t482 @t30 @t11 @t66) @t652 @t190))) % 0.92/1.18 (assume @p601 (forall @t654 (or @t653 @t640 @t248))) % 0.92/1.18 (assume @p602 (forall (@list @t12 @t30 @t11 @t188 @t66) (or @t639 (not @t653) @t248))) % 0.92/1.18 (assume @p603 (forall @t180 (or @t170 @t390 @t179 @t172))) % 0.92/1.18 (assume @p604 (forall @t658 (or (= @t657 (tptp.c_Set_Oinsert @t39 (tptp.c_Set_Oimage @t188 (tptp.c_HOL_Ominus__class_Ominus @t30 (tptp.c_Set_Oinsert @t38 @t641 @t66) @t67) @t66 @t11) @t11)) @t656))) % 0.92/1.18 (assume @p605 (forall @t654 (or @t660 @t659 @t190))) % 0.92/1.18 (assume @p606 (forall @t654 (or (not @t659) @t661))) % 0.92/1.18 (assume @p607 (forall @t29 (or (not (= @t373 @t372)) @t143))) % 0.92/1.18 (assume @p608 (forall @t46 (or @t662 @t370))) % 0.92/1.18 (assume @p609 (forall @t46 (or @t291 (not @t663)))) % 0.92/1.18 (assume @p610 (forall @t46 (= @t383 (tptp.c_Divides_Odiv__class_Omod @t384 @t8 tptp.tc_nat)))) % 0.92/1.18 (assume @p611 (forall @t264 (or (tptp.c_HOL_Oord__class_Oless @t664 @t20 tptp.tc_nat) @t518 @t265))) % 0.92/1.18 (assume @p612 (forall @t343 @t665)) % 0.92/1.18 (assume @p613 (forall @t10 (tptp.c_HOL_Oord__class_Oless @t8 @t158 tptp.tc_nat))) % 0.92/1.18 (assume @p614 (forall @t6 (not (= @t327 @t3)))) % 0.92/1.18 (assume @p615 (forall @t668 (not (= @t667 @t3)))) % 0.92/1.18 (assume @p616 (forall @t115 (or @t671 @t670 @t571))) % 0.92/1.18 (assume @p617 (forall @t46 (or @t143 @t670 @t571))) % 0.92/1.18 (assume @p618 (forall @t46 (or @t143 @t291 @t672))) % 0.92/1.18 (assume @p619 (forall @t6 (not (= @t3 @t327)))) % 0.92/1.18 (assume @p620 (forall @t668 (not (= @t3 @t667)))) % 0.92/1.18 (assume @p621 (forall @t46 (= @t674 @t673))) % 0.92/1.18 (assume @p622 (forall @t46 (= @t675 @t673))) % 0.92/1.18 (assume @p623 (forall @t46 (or (= @t383 @t384) @t385))) % 0.92/1.18 (assume @p624 (forall @t46 (= @t674 @t675))) % 0.92/1.18 (assume @p625 (forall @t46 (or @t663 (= @t327 @t8) @t370))) % 0.92/1.18 (assume @p626 (forall @t343 (or @t495 @t665))) % 0.92/1.18 (assume @p627 (forall @t46 (or @t370 @t670))) % 0.92/1.18 (assume @p628 (forall @t115 (or @t669 @t291))) % 0.92/1.18 (assume @p629 (forall (@list @t38 @t8) (or (tptp.c_HOL_Oord__class_Oless @t342 @t158 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t38 @t8 tptp.tc_nat))))) % 0.92/1.18 (assume @p630 (forall @t46 (or @t291 (not @t676)))) % 0.92/1.18 (assume @p631 (forall @t46 (or @t676 @t370))) % 0.92/1.18 (assume @p632 (forall (@list @t11 @t12 @t30) (not (= @t34 @t348)))) % 0.92/1.18 (assume @p633 (forall @t680 (or @t679 @t378 @t677))) % 0.92/1.18 (assume @p634 (forall @t680 (or @t679 @t681 @t677))) % 0.92/1.18 (assume @p635 (forall @t680 (or @t679 @t378 @t417))) % 0.92/1.18 (assume @p636 (forall @t680 (or @t679 @t681 @t417))) % 0.92/1.18 (assume @p637 (forall (@list @t12 @t30 @t11 @t32) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t348 @t253 @t31) @t682))) % 0.92/1.18 (assume @p638 (forall @t350 (not (= @t348 @t34)))) % 0.92/1.18 (assume @p639 (forall (@list @t188 @t30 @t11 @t66 @t12) (or @t189 @t661))) % 0.92/1.18 (assume @p640 (forall (@list @t540 @t38 @t11) (= (tptp.c_Set_Oinsert @t540 @t175 @t11) (tptp.c_Set_Oinsert @t38 (tptp.c_Set_Oinsert @t540 @t34 @t11) @t11)))) % 0.92/1.18 (assume @p641 (forall (@list @t12 @t11 @t51) (or (not (= @t252 @t678)) @t444))) % 0.92/1.18 (assume @p642 (forall @t180 (or @t685 @t390 @t684))) % 0.92/1.18 (assume @p643 (forall @t692 (or @t691 @t690 @t689))) % 0.92/1.18 (assume @p644 (forall @t692 (or @t691 @t688 @t694 @t693))) % 0.92/1.18 (assume @p645 (forall (@list @t66 @t687 @t188 @t11) (or @t691 (not @t694) @t689))) % 0.92/1.18 (assume @p646 (forall @t37 (or @t448 @t79 @t390))) % 0.92/1.18 (assume @p647 (forall @t61 (or @t137 @t207 (not @t614)))) % 0.92/1.18 (assume @p648 (forall @t201 (or @t520 @t695 @t208))) % 0.92/1.18 (assume @p649 (forall @t201 (or @t137 @t695 @t208))) % 0.92/1.18 (assume @p650 (forall @t61 (or @t137 @t207 (not @t695)))) % 0.92/1.18 (assume @p651 (forall @t264 (or (tptp.c_HOL_Oord__class_Oless @t578 @t696 tptp.tc_nat) @t265))) % 0.92/1.18 (assume @p652 (forall @t102 (or @t291 (not @t697)))) % 0.92/1.18 (assume @p653 (forall @t29 (or @t697 @t370))) % 0.92/1.18 (assume @p654 (forall @t402 (or (not @t698) @t401))) % 0.92/1.18 (assume @p655 (forall @t402 (or (not @t401) @t698))) % 0.92/1.18 (assume @p656 (forall @t54 (or @t50 (tptp.c_lessequals @t58 @t14 @t11) @t363 @t366))) % 0.92/1.18 (assume @p657 (forall (@list @t11 @t188 @t66 @t38) (or (= (tptp.hAPP @t395 @t277) @t38) @t248))) % 0.92/1.18 (assume @p658 (forall (@list @t188 @t279 @t11 @t38) (or (not (tptp.c_Fun_Oinj__on @t188 @t699 @t279 @t11)) (= (tptp.hAPP (tptp.c_Hilbert__Choice_Oinv__into @t699 @t188 @t279 @t11) @t277) @t38)))) % 0.92/1.18 (assume @p659 (forall (@list @t398 @t12 @t51) (or (tptp.hBOOL (tptp.hAPP @t398 @t3)) @t700 (not (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_HOL_Ominus__class_Ominus @t12 @t51 tptp.tc_nat))))))) % 0.92/1.18 (assume @p660 (= @t134 @t7)) % 0.92/1.18 (assume @p661 (forall @t435 (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t81 @t31) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t30 (tptp.c_HOL_Ominus__class_Ominus @t32 @t81 @t31) @t31)))) % 0.92/1.18 (assume @p662 (forall @t115 (or @t131 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t45 @t1 tptp.tc_nat)) @t5))) % 0.92/1.18 (assume @p663 (forall @t115 (or @t131 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t44 @t1 tptp.tc_nat)) @t5))) % 0.92/1.18 (assume @p664 (forall @t168 (or @t592 (= @t282 @t38)))) % 0.92/1.18 (assume @p665 (forall @t54 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t53 @t51 @t11) @t14)))) % 0.92/1.18 (assume @p666 (forall @t360 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t52 @t51 @t11) @t14)))) % 0.92/1.18 (assume @p667 (forall (@list @t109 @t38) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t109 @t38 tptp.tc_nat) @t109 tptp.tc_nat) @t3))) % 0.92/1.18 (assume @p668 (forall @t216 (or @t215 @t214 @t212 @t19 @t209 @t208))) % 0.92/1.18 (assume @p669 (forall @t6 (or @t133 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t1 @t2 tptp.tc_nat))))) % 0.92/1.18 (assume @p670 (forall @t46 (or @t291 (not @t702)))) % 0.92/1.18 (assume @p671 (forall @t115 (or @t702 @t370))) % 0.92/1.18 (assume @p672 (forall @t48 (or @t284 (= @t451 @t14)))) % 0.92/1.18 (assume @p673 (forall @t201 (or @t284 @t331 @t207 @t306))) % 0.92/1.18 (assume @p674 (forall @t138 (or @t284 @t396 @t335 @t306))) % 0.92/1.18 (assume @p675 (forall @t201 (or @t284 @t331 @t207 @t308))) % 0.92/1.18 (assume @p676 (forall @t138 (or @t284 @t396 @t335 @t308))) % 0.92/1.18 (assume @p677 (forall (@list @t30 @t188 @t38 @t11 @t66) (or @t704 (not @t703)))) % 0.92/1.18 (assume @p678 (forall (@list @t188 @t30 @t11 @t66 @t38) (or @t703 (not @t704)))) % 0.92/1.18 (assume @p679 (forall @t301 (or @t141 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t101 @t11) (tptp.c_HOL_Oplus__class_Oplus @t300 @t299 @t11))))) % 0.92/1.18 (assume @p680 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t607 @t1 tptp.tc_nat) @t5 @t117))) % 0.92/1.18 (assume @p681 (forall @t706 (or @t505 (not @t507) @t705))) % 0.92/1.18 (assume @p682 (forall (@list @t188 @t38 @t39 @t66 @t11 @t74) (or (= (tptp.hAPP @t591 @t74) @t708) @t707))) % 0.92/1.18 (assume @p683 (forall @t483 (or (= (tptp.hAPP @t482 @t74) @t708) @t707))) % 0.92/1.18 (assume @p684 (forall @t197 (or @t60 (= @t129 @t59)))) % 0.92/1.18 (assume @p685 (forall @t61 (or @t60 (= @t130 @t59)))) % 0.92/1.18 (assume @p686 (forall @t115 (or @t709 @t291))) % 0.92/1.18 (assume @p687 (forall (@list @t11 @t109 @t38 @t712 @t20 @t710) (or @t161 @t715 @t714 (not @t713) @t711))) % 0.92/1.18 (assume @p688 (forall (@list @t11 @t109 @t38 @t20 @t710 @t712) (or @t161 @t715 @t713 (not @t714) @t711))) % 0.92/1.18 (assume @p689 (forall @t46 (or @t386 @t146 @t295))) % 0.92/1.18 (assume @p690 (forall @t46 (or @t386 @t70 @t9))) % 0.92/1.18 (assume @p691 (forall @t54 (or @t367 @t516 @t63 @t19))) % 0.92/1.18 (assume @p692 (forall @t54 (or @t284 @t516 @t363 @t366))) % 0.92/1.18 (assume @p693 (forall @t54 (or @t284 @t516 @t63 @t19))) % 0.92/1.18 (assume @p694 (forall @t18 (or @t284 (tptp.c_lessequals @t14 @t368 @t11)))) % 0.92/1.18 (assume @p695 (forall @t54 (or @t321 @t516 @t363 @t366))) % 0.92/1.18 (assume @p696 (forall @t54 (or @t321 @t516 @t63 @t19))) % 0.92/1.18 (assume @p697 (forall @t197 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t195 @t194 @t11) (tptp.c_HOL_Otimes__class_Otimes @t159 @t55 @t11))))) % 0.92/1.18 (assume @p698 (forall @t201 (or @t60 (= (tptp.c_Divides_Odiv__class_Omod @t199 @t198 @t11) (tptp.c_HOL_Otimes__class_Otimes @t55 @t159 @t11))))) % 0.92/1.18 (assume @p699 (forall @t492 (or @t716 @t117 @t493))) % 0.92/1.18 (assume @p700 (forall @t251 (= (tptp.c_Set_Ovimage @t188 @t641 @t11 @t66) @t34))) % 0.92/1.18 (assume @p701 (forall @t46 (or @t717 @t133))) % 0.92/1.18 (assume @p702 (forall @t46 (or @t717 @t131))) % 0.92/1.18 (assume @p703 (forall @t61 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t11)) (= (tptp.c_HOL_Otimes__class_Otimes @t53 @t55 @t11) (tptp.c_HOL_Otimes__class_Otimes @t12 @t194 @t11))))) % 0.92/1.18 (assume @p704 (forall @t719 (or @t42 (= @t718 (tptp.c_HOL_Otimes__class_Otimes @t459 @t456 @t11))))) % 0.92/1.18 (assume @p705 (forall @t719 (or @t42 (= @t718 (tptp.c_HOL_Otimes__class_Otimes @t458 (tptp.c_HOL_Otimes__class_Otimes @t456 @t457 @t11) @t11))))) % 0.92/1.18 (assume @p706 (forall @t721 (or @t42 (= @t720 (tptp.c_HOL_Otimes__class_Otimes @t459 @t455 @t11))))) % 0.92/1.18 (assume @p707 (forall @t721 (or @t42 (= @t720 (tptp.c_HOL_Otimes__class_Otimes @t457 (tptp.c_HOL_Otimes__class_Otimes @t458 @t455 @t11) @t11))))) % 0.92/1.18 (assume @p708 (forall @t102 (= (tptp.c_HOL_Otimes__class_Otimes @t45 @t20 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t1 @t22 tptp.tc_nat)))) % 0.92/1.18 (assume @p709 (forall @t94 (or @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t38 (tptp.c_HOL_Otimes__class_Otimes @t39 @t74 @t11) @t11) (tptp.c_HOL_Otimes__class_Otimes @t41 @t74 @t11))))) % 0.92/1.18 (assume @p710 (forall @t61 (or @t42 @t722))) % 0.92/1.18 (assume @p711 (forall @t61 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t11)) @t722))) % 0.92/1.18 (assume @p712 (forall @t102 (= (tptp.c_HOL_Otimes__class_Otimes @t101 @t20 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t23 @t22 tptp.tc_nat)))) % 0.92/1.18 (assume @p713 (forall @t29 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t101 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t27 @t26 tptp.tc_nat)))) % 0.92/1.18 (assume @p714 (forall @t94 (or @t42 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t92 @t11) @t149)))) % 0.92/1.18 (assume @p715 (forall @t54 (or @t89 @t208 @t408))) % 0.92/1.18 (assume @p716 (forall @t43 (or @t322 @t73 @t86))) % 0.92/1.18 (assume @p717 (forall @t584 (or @t583 @t126 @t125 @t123))) % 0.92/1.18 (assume @p718 (forall @t584 (or @t583 @t125 @t124 @t123))) % 0.92/1.18 (assume @p719 (forall @t358 (or @t77 @t86 @t73))) % 0.92/1.18 (assume @p720 (forall @t360 (or @t77 @t408 @t208))) % 0.92/1.18 (assume @p721 (forall (@list @t11 @t724 @t723) (or @t322 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t724 @t11) (tptp.c_Finite__Set_Olinorder__class_OMax @t723 @t11) @t11) @t727 @t726 @t725))) % 0.92/1.18 (assume @p722 (forall (@list @t11 @t723 @t724) (or @t322 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t723 @t11) (tptp.c_Finite__Set_Olinorder__class_OMin @t724 @t11) @t11) @t727 @t726 @t725))) % 0.92/1.18 (assume @p723 (forall @t178 (or @t683 @t174 @t728))) % 0.92/1.18 (assume @p724 (forall @t180 (or @t685 @t174 @t684))) % 0.92/1.18 (assume @p725 (forall @t37 (or @t79 (not @t730) @t390 @t645))) % 0.92/1.18 (assume @p726 (forall @t37 (or (= @t731 (tptp.c_HOL_Ominus__class_Ominus @t297 (tptp.c_Finite__Set_Ocard @t35 @t11) tptp.tc_nat)) (not (tptp.c_Finite__Set_Ofinite @t35 @t11))))) % 0.92/1.18 (assume @p727 (forall @t733 (or (= @t732 (tptp.c_HOL_Ominus__class_Ominus @t297 @t2 tptp.tc_nat)) @t174 @t500))) % 0.92/1.18 (assume @p728 (forall (@list @t11 @t20 @t223) (or @t736 @t735 (not @t734)))) % 0.92/1.18 (assume @p729 (forall (@list @t11 @t223 @t20) (or @t736 @t734 (not @t735)))) % 0.92/1.18 (assume @p730 (forall @t54 (or @t549 @t337 (not @t737)))) % 0.92/1.18 (assume @p731 (forall @t54 (or @t549 @t737 @t338))) % 0.92/1.18 (assume @p732 (forall @t739 (or (= @t738 (tptp.c_Set_Oinsert @t38 @t33 @t11)) @t172))) % 0.92/1.18 (assume @p733 (forall @t742 (or (= @t741 @t433) @t740))) % 0.92/1.18 (assume @p734 (forall @t255 (or (= @t743 @t35) @t639))) % 0.92/1.18 (assume @p735 (forall @t746 (or (not (= @t745 @t34)) @t744))) % 0.92/1.18 (assume @p736 (forall (@list @t51 @t12 @t11) (or (= @t51 @t12) (not (tptp.c_in @t51 @t252 @t11))))) % 0.92/1.18 (assume @p737 (forall @t739 (or (= @t738 @t33) @t484))) % 0.92/1.18 (assume @p738 (forall @t706 (or @t79 @t484 @t171))) % 0.92/1.18 (assume @p739 (forall @t180 (or @t170 @t484 @t80))) % 0.92/1.18 (assume @p740 (forall @t742 (or (= @t741 (tptp.c_Set_Oinsert @t12 @t433 @t11)) (not @t740)))) % 0.92/1.18 (assume @p741 (forall @t255 (or (= @t743 @t682) @t640))) % 0.92/1.18 (assume @p742 (forall @t494 (tptp.c_in @t38 @t175 @t11))) % 0.92/1.18 (assume @p743 (forall (@list @t12 @t188 @t11 @t394) (or (tptp.c_in @t12 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t188 @t31) @t11) (not (tptp.c_lessequals @t394 @t554 @t31)) @t747))) % 0.92/1.18 (assume @p744 (forall @t358 (or @t89 @t551 (not @t748)))) % 0.92/1.18 (assume @p745 (forall @t37 (or @t79 @t448 @t390))) % 0.92/1.18 (assume @p746 (forall (@list @t32 @t81 @t30 @t11) (or (= (tptp.c_HOL_Ominus__class_Ominus @t32 (tptp.c_HOL_Ominus__class_Ominus @t81 @t30 @t31) @t31) @t30) @t749 @t390))) % 0.92/1.18 (assume @p747 (forall @t752 (or (tptp.c_lessequals @t35 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t81 @t710 @t31) @t31) (not (tptp.c_lessequals @t32 @t710 @t31)) @t751))) % 0.92/1.18 (assume @p748 (forall @t84 (or @t83 @t82 @t390))) % 0.92/1.18 (assume @p749 (forall @t84 (or @t83 @t749 @t80))) % 0.92/1.18 (assume @p750 (forall @t449 (or @t189 @t390 (not (tptp.c_Fun_Oinj__on @t188 @t32 @t11 @t66))))) % 0.92/1.18 (assume @p751 (forall @t288 (tptp.c_lessequals @t30 @t247 @t31))) % 0.92/1.18 (assume @p752 (forall @t475 (or @t755 (not @t754) (not @t753)))) % 0.92/1.18 (assume @p753 (forall @t37 (tptp.c_lessequals @t35 @t32 @t31))) % 0.92/1.18 (assume @p754 (forall @t37 (tptp.c_lessequals @t35 @t30 @t31))) % 0.92/1.18 (assume @p755 (forall @t48 (tptp.c_lessequals @t34 @t34 @t31))) % 0.92/1.18 (assume @p756 (forall @t288 (or @t498 (not (tptp.c_lessequals @t30 @t34 @t31))))) % 0.92/1.18 (assume @p757 (forall @t37 (or @t389 @t80))) % 0.92/1.18 (assume @p758 (forall @t752 (or (tptp.c_lessequals @t33 (tptp.c_HOL_Ominus__class_Ominus @t81 @t710 @t31) @t31) (not (tptp.c_lessequals @t710 @t32 @t31)) @t751))) % 0.92/1.18 (assume @p759 (forall @t447 (tptp.c_lessequals @t34 @t30 @t31))) % 0.92/1.18 (assume @p760 (forall @t37 (or (= @t35 @t30) @t390))) % 0.92/1.18 (assume @p761 (forall @t37 (or (= @t35 @t32) @t756))) % 0.92/1.18 (assume @p762 (forall @t37 (tptp.c_lessequals @t33 @t30 @t31))) % 0.92/1.18 (assume @p763 (forall @t757 (or (tptp.c_lessequals @t487 @t545 @t67) @t390))) % 0.92/1.18 (assume @p764 (forall (@list @t81 @t32 @t11 @t30) (or @t754 @t758))) % 0.92/1.18 (assume @p765 (forall (@list @t81 @t30 @t11 @t32) (or @t753 @t758))) % 0.92/1.18 (assume @p766 (forall @t46 (or @t761 (not @t760) (not @t759)))) % 0.92/1.18 (assume @p767 (forall @t115 (or @t760 @t762))) % 0.92/1.18 (assume @p768 (forall @t46 (or @t759 @t762))) % 0.92/1.18 (assume @p769 (forall @t764 (or @t369 @t749 @t751 @t763))) % 0.92/1.18 (assume @p770 (forall (@list @t30 @t188 @t66 @t11 @t32) (or (tptp.c_Fun_Oinj__on @t767 @t32 @t11 @t66) @t766))) % 0.92/1.18 (assume @p771 (forall @t449 (or @t768 @t390 @t248))) % 0.92/1.18 (assume @p772 (forall (@list @t30 @t32 @t11 @t188 @t66) (or @t389 (not @t768) @t248))) % 0.92/1.18 (assume @p773 (forall @t764 (or @t304 @t749 @t751 @t763))) % 0.92/1.18 (assume @p774 (forall (@list @t30 @t188 @t11 @t66 @t769) (or (= (tptp.c_Set_Oimage @t278 (tptp.c_Set_Oimage @t188 @t769 @t11 @t66) @t66 @t11) @t769) (not (tptp.c_lessequals @t769 @t30 @t31)) @t190))) % 0.92/1.18 (assume @p775 (forall @t288 (or (not @t770) @t500 @t498))) % 0.92/1.18 (assume @p776 (forall @t648 (or @t730 @t80 @t645))) % 0.92/1.18 (assume @p777 (forall @t288 (or @t499 (not @t501)))) % 0.92/1.18 (assume @p778 (forall @t46 (or @t291 @t143 @t330))) % 0.92/1.18 (assume @p779 (forall @t46 (or @t143 @t291 @t330))) % 0.92/1.18 (assume @p780 (forall @t25 (or @t24 @t330))) % 0.92/1.18 (assume @p781 (forall @t29 (or @t28 @t330))) % 0.92/1.18 (assume @p782 (forall @t405 (or (tptp.c_lessequals @t404 @t403 tptp.tc_nat) @t237))) % 0.92/1.18 (assume @p783 (forall @t264 (or (tptp.c_lessequals @t407 @t406 tptp.tc_nat) @t237))) % 0.92/1.18 (assume @p784 (tptp.c_lessequals @t3 @t3 tptp.tc_nat)) % 0.92/1.18 (assume @p785 (forall @t481 (or @t480 (not (tptp.hBOOL (tptp.hAPP @t398 @t479))) @t478 @t237))) % 0.92/1.18 (assume @p786 (forall @t29 (or @t771 @t330))) % 0.92/1.18 (assume @p787 (forall @t102 (or @t328 (not @t771)))) % 0.92/1.18 (assume @p788 (forall @t264 (or (tptp.c_lessequals @t578 @t696 tptp.tc_nat) @t237))) % 0.92/1.18 (assume @p789 (forall @t46 (or @t328 @t370))) % 0.92/1.18 (assume @p790 (forall @t568 (or @t772 @t261))) % 0.92/1.18 (assume @p791 (forall @t246 (tptp.c_lessequals @t1 @t245 tptp.tc_nat))) % 0.92/1.18 (assume @p792 (forall @t115 (tptp.c_lessequals @t8 @t101 tptp.tc_nat))) % 0.92/1.18 (assume @p793 (forall @t115 (tptp.c_lessequals @t8 @t139 tptp.tc_nat))) % 0.92/1.18 (assume @p794 (forall @t10 (or @t9 (not (tptp.c_lessequals @t8 @t3 tptp.tc_nat))))) % 0.92/1.18 (assume @p795 (forall @t579 (or (tptp.c_lessequals @t578 @t577 tptp.tc_nat) @t773 @t237))) % 0.92/1.18 (assume @p796 (forall @t269 (or (tptp.c_lessequals @t223 @t268 tptp.tc_nat) @t237))) % 0.92/1.18 (assume @p797 (forall @t267 (or (tptp.c_lessequals @t223 @t266 tptp.tc_nat) @t237))) % 0.92/1.18 (assume @p798 (forall @t441 (or @t716 @t774))) % 0.92/1.18 (assume @p799 (forall @t102 (or @t328 @t774))) % 0.92/1.18 (assume @p800 (forall @t99 (or @t775 (not (tptp.c_lessequals @t38 @t74 tptp.tc_nat))))) % 0.92/1.18 (assume @p801 (forall @t99 (or @t775 (not @t772)))) % 0.92/1.18 (assume @p802 (forall @t10 (tptp.c_lessequals @t3 @t8 tptp.tc_nat))) % 0.92/1.18 (assume @p803 (forall @t46 (tptp.c_lessequals @t118 @t1 tptp.tc_nat))) % 0.92/1.18 (assume @p804 (forall @t6 (tptp.c_lessequals @t1 @t776 tptp.tc_nat))) % 0.92/1.18 (assume @p805 (forall @t579 (or (tptp.c_lessequals @t407 (tptp.c_HOL_Otimes__class_Otimes @t224 @t292 tptp.tc_nat) tptp.tc_nat) @t773 @t237))) % 0.92/1.18 (assume @p806 (forall @t6 (tptp.c_lessequals @t1 (tptp.c_HOL_Otimes__class_Otimes @t1 @t776 tptp.tc_nat) tptp.tc_nat))) % 0.92/1.18 (assume @p807 (forall @t777 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t8 @t664 tptp.tc_nat) @t8 tptp.tc_nat) @t117))) % 0.92/1.18 (assume @p808 (forall @t10 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 tptp.tc_nat)) @t8) @t117))) % 0.92/1.18 (assume @p809 (forall (@list @t188 @t38 @t687 @t11 @t66) (or (not (= (tptp.hAPP @t188 @t779) (tptp.hAPP @t687 @t779))) @t778))) % 0.92/1.18 (assume @p810 (forall @t489 (or (not (= @t765 @t34)) @t780))) % 0.92/1.18 (assume @p811 (forall (@list @t11 @t188 @t30 @t66) (or (not (= @t34 @t765)) @t780))) % 0.92/1.18 (assume @p812 (forall @t251 (= @t781 @t34))) % 0.92/1.18 (assume @p813 (forall (@list @t11 @t188 @t66) (= @t34 @t781))) % 0.92/1.18 (assume @p814 (forall @t236 (or @t783 (not @t782) @t237))) % 0.92/1.18 (assume @p815 (forall @t241 (or @t782 @t784 @t237))) % 0.92/1.18 (assume @p816 (forall @t236 (or @t783 (not @t785) @t225))) % 0.92/1.18 (assume @p817 (forall @t235 (or @t785 @t784 @t225))) % 0.92/1.18 (assume @p818 (forall (@list @t223 @t224 @t116 @t8) (or @t237 (= (tptp.c_HOL_Oplus__class_Oplus @t228 @t239 tptp.tc_nat) @t227)))) % 0.92/1.18 (assume @p819 (forall @t236 (or @t786 @t237 (= @t1 @t239)))) % 0.92/1.18 (assume @p820 (forall @t236 (or @t786 @t225 (= @t233 @t8)))) % 0.92/1.18 (assume @p821 (forall (@list @t224 @t223 @t116 @t1) (or @t225 (= @t229 (tptp.c_HOL_Oplus__class_Oplus @t226 @t233 tptp.tc_nat))))) % 0.92/1.18 (assume @p822 (forall @t236 (or (= @t787 (tptp.c_HOL_Ominus__class_Ominus @t1 @t239 tptp.tc_nat)) @t237))) % 0.92/1.18 (assume @p823 (forall @t236 (or (= @t787 (tptp.c_HOL_Ominus__class_Ominus @t233 @t8 tptp.tc_nat)) @t225))) % 0.92/1.18 (assume @p824 (forall @t115 (or (not (= @t701 @t3)) @t789 @t143))) % 0.92/1.18 (assume @p825 (forall (@list @t224 @t8 @t20) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t224 @t8 tptp.tc_nat) @t20 tptp.tc_nat) @t518))) % 0.92/1.18 (assume @p826 (forall @t29 (or @t792 @t493 @t791))) % 0.92/1.18 (assume @p827 (forall @t6 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t3 tptp.tc_nat) @t1))) % 0.92/1.18 (assume @p828 (forall @t6 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t1 tptp.tc_nat) @t3))) % 0.92/1.18 (assume @p829 (forall @t795 (or (tptp.c_HOL_Oord__class_Oless @t794 @t793 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t1 @t292 tptp.tc_nat)) @t370))) % 0.92/1.18 (assume @p830 (forall (@list @t398 @t51 @t38) (or (not (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t51 @t38 tptp.tc_nat) @t51 tptp.tc_nat)))) @t531))) % 0.92/1.18 (assume @p831 (forall (@list @t398 @t51 @t109) (or (not (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t51 @t109 tptp.tc_nat) @t51 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t398 @t109))))) % 0.92/1.18 (assume @p832 (forall @t799 (or @t798 (not (tptp.hBOOL (tptp.hAPP @t398 @t797))) @t796))) % 0.92/1.18 (assume @p833 (forall @t613 (= @t800 (tptp.c_HOL_Ominus__class_Ominus @t223 @t696 tptp.tc_nat)))) % 0.92/1.18 (assume @p834 (forall @t10 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t8 tptp.tc_nat) @t3))) % 0.92/1.18 (assume @p835 (forall @t25 (= (tptp.c_HOL_Ominus__class_Ominus @t376 @t100 tptp.tc_nat) @t607))) % 0.92/1.18 (assume @p836 (forall @t29 (= (tptp.c_HOL_Ominus__class_Ominus @t377 @t294 tptp.tc_nat) @t607))) % 0.92/1.19 (assume @p837 (forall @t29 (= (tptp.c_HOL_Otimes__class_Otimes @t20 @t607 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t27 @t26 tptp.tc_nat)))) % 0.92/1.19 (assume @p838 (forall @t102 (= (tptp.c_HOL_Otimes__class_Otimes @t607 @t20 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t23 @t22 tptp.tc_nat)))) % 0.92/1.19 (assume @p839 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t101 @t8 tptp.tc_nat) @t1))) % 0.92/1.19 (assume @p840 (forall @t115 (= (tptp.c_HOL_Ominus__class_Ominus @t139 @t8 tptp.tc_nat) @t1))) % 0.92/1.19 (assume @p841 (forall @t733 (or (tptp.c_HOL_Oord__class_Oless @t732 @t297 tptp.tc_nat) @t174 @t500))) % 0.92/1.19 (assume @p842 (forall (@list @t30 @t38 @t11 @t39) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t176 (tptp.c_Set_Oinsert @t39 @t34 @t11) @t31) @t11) @t297 tptp.tc_nat) @t538 @t174 @t500))) % 0.92/1.19 (assume @p843 (forall @t43 (or @t89 @t748 @t552))) % 0.92/1.19 (assume @p844 (forall @t590 (tptp.c_in @t277 @t486 @t11))) % 0.92/1.19 (assume @p845 (forall (@list @t30 @t188 @t66 @t11 @t38) (or (tptp.c_in (tptp.hAPP @t767 @t38) @t30 @t66) (not (tptp.c_in @t38 @t765 @t11))))) % 0.92/1.19 (assume @p846 (forall (@list @t30 @t188 @t11 @t66 @t38 @t39) (or (not (= (tptp.hAPP @t278 @t38) (tptp.hAPP @t278 @t39))) @t426 (not @t652) (not (tptp.c_in @t38 @t249 @t66))))) % 0.92/1.19 (assume @p847 (forall (@list @t30 @t51 @t188 @t66 @t11) (or (tptp.c_in @t802 @t30 @t66) @t801))) % 0.92/1.19 (assume @p848 (forall (@list @t74 @t188 @t30 @t66 @t11) (or (= @t74 (tptp.hAPP @t188 @t804)) @t803))) % 0.92/1.19 (assume @p849 (forall (@list @t188 @t38 @t11 @t66 @t687) (or @t778 (tptp.c_in @t779 @t38 @t11)))) % 0.92/1.19 (assume @p850 (forall (@list @t188 @t30 @t66 @t11 @t39) (or (= (tptp.hAPP @t188 (tptp.hAPP @t767 @t39)) @t39) (not (tptp.c_in @t39 @t765 @t11))))) % 0.92/1.19 (assume @p851 (forall (@list @t30 @t188 @t74 @t66 @t11) (or (tptp.c_in @t804 @t30 @t66) @t803))) % 0.92/1.19 (assume @p852 (forall @t658 (or (= @t657 @t765) @t655))) % 0.92/1.19 (assume @p853 (forall (@list @t51 @t188 @t30 @t66 @t11) (or (= @t51 (tptp.hAPP @t188 @t802)) @t801))) % 0.92/1.19 (assume @p854 (forall @t301 (or @t391 @t805 @t330))) % 0.92/1.19 (assume @p855 (forall @t301 (or @t391 @t328 (not @t805)))) % 0.92/1.19 (assume @p856 (forall (@list @t30 @t32 @t11 @t12) (or @t646 (not @t806)))) % 0.92/1.19 (assume @p857 (forall @t255 (or @t806 @t647))) % 0.92/1.19 (assume @p858 @t808) % 0.92/1.19 (assume @p859 (forall (@list @t30 @t66 @t188 @t11) (or (tptp.c_Finite__Set_Ofinite @t30 @t66) (not (tptp.c_Fun_Oinj__on @t188 @t30 @t66 @t11)) (not (tptp.c_Finite__Set_Ofinite @t765 @t11))))) % 0.92/1.19 (assume @p860 (forall @t733 (or (= @t30 @t175) @t498 (not (tptp.c_lessequals @t30 @t175 @t31))))) % 0.92/1.19 (assume @p861 (forall @t572 (or @t401 (tptp.hBOOL (tptp.hAPP @t398 @t1)) (not (tptp.c_lessequals @t327 @t399 tptp.tc_nat))))) % 0.92/1.19 (assume @p862 (forall @t102 (or @t328 (not @t809)))) % 0.92/1.19 (assume @p863 (forall @t29 (or @t809 @t330))) % 0.92/1.19 (assume @p864 (forall @t343 (or (not @t810) @t665))) % 0.92/1.19 (assume @p865 (forall @t46 (or @t328 @t672))) % 0.92/1.19 (assume @p866 (forall @t46 (or @t662 @t330))) % 0.92/1.19 (assume @p867 (forall @t46 (or @t811 @t370))) % 0.92/1.19 (assume @p868 (forall @t46 (or @t291 @t812))) % 0.92/1.19 (assume @p869 (forall @t115 (or @t813 (not @t571)))) % 0.92/1.19 (assume @p870 (forall @t115 (or @t571 @t814))) % 0.92/1.19 (assume @p871 (forall @t481 (or @t480 (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Suc @t479))) @t478 @t237))) % 0.92/1.19 (assume @p872 (forall (@list @t815 @t8) (or (= @t815 (tptp.c_Suc (tptp.c_ATP__Linkup_Osko__Nat__XSuc__le__D__1__1 @t815))) @t816))) % 0.92/1.19 (assume @p873 (forall @t819 (or @t818 (tptp.c_lessequals @t8 @t817 tptp.tc_nat) @t816))) % 0.92/1.19 (assume @p874 (forall @t819 (or @t818 (not (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Suc @t817)))) @t816))) % 0.92/1.19 (assume @p875 (forall @t115 (or @t671 @t670 @t330))) % 0.92/1.19 (assume @p876 (forall @t643 (or (= @t821 @t820) @t500))) % 0.92/1.19 (assume @p877 (forall @t733 (or (tptp.c_lessequals @t732 @t297 tptp.tc_nat) @t500))) % 0.92/1.19 (assume @p878 (forall @t823 (or (= @t32 (tptp.c_Set_Oimage @t188 @t822 @t66 @t11)) @t766))) % 0.92/1.19 (assume @p879 (forall @t757 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t765 @t824 @t31) (tptp.c_Set_Oimage @t188 @t219 @t66 @t11) @t31))) % 0.92/1.19 (assume @p880 (forall @t825 (or (tptp.c_lessequals @t822 @t30 @t67) @t766))) % 0.92/1.19 (assume @p881 (forall @t489 (tptp.c_lessequals @t488 @t30 @t31))) % 0.92/1.19 (assume @p882 (forall @t220 (tptp.c_lessequals (tptp.c_Set_Oimage @t188 @t521 @t66 @t11) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t765 @t824 @t31) @t31))) % 0.92/1.19 (assume @p883 (forall @t288 (or (not (= @t297 @t439)) @t438 (= @t30 @t247)))) % 0.92/1.19 (assume @p884 (forall @t288 (or @t770 @t499))) % 0.92/1.19 (assume @p885 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t158 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t71 @t8 tptp.tc_nat)))) % 0.92/1.19 (assume @p886 (forall @t799 (or @t798 (tptp.hBOOL (tptp.hAPP @t398 (tptp.c_Suc @t797))) @t796))) % 0.92/1.19 (assume @p887 (forall @t46 (tptp.c_HOL_Oord__class_Oless @t607 @t327 tptp.tc_nat))) % 0.92/1.19 (assume @p888 (forall @t10 (= (tptp.c_HOL_Ominus__class_Ominus @t158 @t2 tptp.tc_nat) @t8))) % 0.92/1.19 (assume @p889 (forall @t827 (or @t826 (= (tptp.c_Finite__Set_Ocard (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2 @t30 @t20 @t11) @t11) @t20)))) % 0.92/1.19 (assume @p890 (forall @t827 (or @t826 (= (tptp.c_Finite__Set_Ocard (tptp.c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2 @t30 @t20 @t11) @t11) @t20)))) % 0.92/1.19 (assume @p891 (forall @t102 (or (tptp.c_lessequals @t1 (tptp.c_HOL_Ominus__class_Ominus @t139 @t20 tptp.tc_nat) tptp.tc_nat) @t828))) % 0.92/1.19 (assume @p892 (forall (@list @t12 @t55 @t51) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t12 @t55 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t51 @t55 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t55 @t12 tptp.tc_nat)) @t700))) % 0.92/1.19 (assume @p893 (forall @t46 (or @t789 @t328))) % 0.92/1.19 (assume @p894 (forall @t46 (or @t788 @t330))) % 0.92/1.19 (assume @p895 (forall @t29 (or @t790 @t831 @t493 @t829))) % 0.92/1.19 (assume @p896 (forall @t441 (or @t491 @t831 @t791 @t829))) % 0.92/1.19 (assume @p897 (forall @t264 (or @t834 (not @t833) @t832))) % 0.92/1.19 (assume @p898 (forall @t613 (or @t833 (not @t834) @t832))) % 0.92/1.19 (assume @p899 (forall @t46 (or @t608 @t831))) % 0.92/1.19 (assume @p900 (forall @t837 (or @t836 (not @t835)))) % 0.92/1.19 (assume @p901 (forall @t838 (or @t835 (not @t836)))) % 0.92/1.19 (assume @p902 (forall @t613 (or (= @t840 @t839) @t832))) % 0.92/1.19 (assume @p903 (forall @t837 (or (= @t842 @t841) @t832))) % 0.92/1.19 (assume @p904 (forall @t613 (or (= (tptp.c_HOL_Ominus__class_Ominus @t223 @t610 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t578 @t224 tptp.tc_nat)) @t832))) % 0.92/1.19 (assume @p905 (forall (@list @t223 @t20) (or (not (tptp.c_lessequals @t223 @t843 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t843 @t223 tptp.tc_nat) @t20)))) % 0.92/1.19 (assume @p906 (forall @t601 (or @t237 (= @t224 (tptp.c_HOL_Oplus__class_Oplus @t238 @t223 tptp.tc_nat))))) % 0.92/1.19 (assume @p907 (forall @t115 (or @t709 @t831))) % 0.92/1.19 (assume @p908 (forall @t46 (or (= (tptp.c_HOL_Oplus__class_Oplus @t607 @t8 tptp.tc_nat) @t1) @t831))) % 0.92/1.19 (assume @p909 (forall @t613 (or (= @t839 @t840) @t832))) % 0.92/1.19 (assume @p910 (forall @t838 (or (= @t841 @t842) @t832))) % 0.92/1.19 (assume @p911 (forall @t102 (or @t291 (not @t847) @t828 @t844))) % 0.92/1.19 (assume @p912 (forall @t25 (or @t847 @t370 @t828 @t844))) % 0.92/1.19 (assume @p913 (forall @t250 (or @t849 @t190))) % 0.92/1.19 (assume @p914 (forall @t733 (or (= @t820 @t297) @t174 @t500))) % 0.92/1.19 (assume @p915 (forall @t255 (or (= (tptp.c_Finite__Set_Ocard @t254 @t11) (tptp.c_HOL_Ominus__class_Ominus @t731 @t2 tptp.tc_nat)) @t850 @t640 @t500))) % 0.92/1.19 (assume @p916 (forall (@list @t11 @t30 @t38) (or @t322 (tptp.c_lessequals @t624 @t38 @t11) @t174 @t500))) % 0.92/1.19 (assume @p917 (forall (@list @t11 @t38 @t30) (or @t322 (tptp.c_lessequals @t38 @t625 @t11) @t174 @t500))) % 0.92/1.19 (assume @p918 (forall @t706 (or @t389 @t173 @t172 @t171))) % 0.92/1.19 (assume @p919 (forall @t180 (or @t170 @t390 @t173 @t172))) % 0.92/1.19 (assume @p920 (forall @t180 (or @t170 @t390 @t173 @t80))) % 0.92/1.19 (assume @p921 (forall (@list @t11 @t188 @t8 @t852) (or @t89 (tptp.c_lessequals (tptp.hAPP @t188 @t8) (tptp.hAPP @t188 @t852) @t11) (not (tptp.c_lessequals @t8 @t852 tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t188 @t851) (tptp.hAPP @t188 (tptp.c_Suc @t851)) @t11))))) % 0.92/1.19 (assume @p922 (forall @t449 (or @t854 (tptp.c_in @t853 @t30 @t11)))) % 0.92/1.19 (assume @p923 (forall @t757 (or @t856 (not (tptp.c_in (tptp.hAPP @t188 @t855) @t32 @t11))))) % 0.92/1.19 (assume @p924 (forall @t757 (or @t856 (tptp.c_in @t855 @t30 @t66)))) % 0.92/1.19 (assume @p925 (forall (@list @t687 @t12 @t188 @t66 @t394 @t11) (or (tptp.c_in (tptp.hAPP @t687 @t12) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t188 @t67) @t66) (not (tptp.c_lessequals @t857 (tptp.hAPP @t188 @t857) @t67)) @t747))) % 0.92/1.19 (assume @p926 (forall @t449 (or @t854 (not (tptp.c_in (tptp.hAPP @t188 @t853) @t32 @t66))))) % 0.92/1.19 (assume @p927 (forall @t860 (or @t859 (not (tptp.c_lessequals @t30 @t858 @t31)) @t500))) % 0.92/1.19 (assume @p928 (forall @t823 (or (= @t32 (tptp.c_Set_Oimage @t188 @t861 @t66 @t11)) @t766 @t645))) % 0.92/1.19 (assume @p929 (forall @t825 (or (tptp.c_Finite__Set_Ofinite @t861 @t66) @t766 @t645))) % 0.92/1.19 (assume @p930 (forall @t860 (or (= @t858 @t30) (not @t859) (not (tptp.c_lessequals @t858 @t30 @t31)) @t500))) % 0.92/1.19 (assume @p931 (forall @t825 (or (tptp.c_lessequals @t861 @t30 @t67) @t766 @t645))) % 0.92/1.19 (assume @p932 (forall @t301 (or (not (tptp.class_Ring__and__Field_Oring__1 @t11)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t607 @t11) (tptp.c_HOL_Ominus__class_Ominus @t300 @t299 @t11)) @t831))) % 0.92/1.19 (assume @p933 (forall @t250 (or (not @t849) @t500 @t189))) % 0.92/1.19 (assume @p934 (forall @t250 (or @t849 @t190 @t500))) % 0.92/1.19 (assume @p935 (forall (@list @t224 @t20 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t863 @t1 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t862 @t377 tptp.tc_nat)) @t832))) % 0.92/1.19 (assume @p936 (forall (@list @t1 @t224 @t20) (or (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t863 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t376 @t862 tptp.tc_nat)) @t832))) % 0.92/1.19 (assume @p937 (forall @t494 (or @t529 (= (tptp.c_Finite__Set_Ocard @t175 @t11) (tptp.c_Suc @t397))))) % 0.92/1.19 (assume @p938 (forall @t746 (or @t744 (= (tptp.c_Finite__Set_Ocard @t745 @t11) (tptp.c_Suc @t864)) (= @t864 @t3)))) % 0.92/1.19 (assume @p939 (forall (@list @t30 @t11 @t32 @t66 @t687 @t188) (or (= @t297 @t868) @t867 @t500 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t687 @t32 @t66 @t11) @t30 @t31)) (not (tptp.c_Fun_Oinj__on @t687 @t32 @t66 @t11)) @t865 @t190))) % 0.92/1.19 (assume @p940 (forall @t37 (or (= @t731 (tptp.c_HOL_Ominus__class_Ominus @t297 @t729 tptp.tc_nat)) @t756 @t645))) % 0.92/1.19 (assume @p941 (forall (@list @t30 @t11 @t32 @t66 @t188) (or (tptp.c_lessequals @t297 @t868 tptp.tc_nat) @t867 @t865 @t190))) % 0.92/1.19 (assume @p942 (forall @t358 (or @t322 @t551 @t547))) % 0.92/1.19 (assume @p943 (forall @t115 (or @t830 @t328))) % 0.92/1.19 (assume @p944 (forall @t115 (or @t869 @t831))) % 0.92/1.19 (assume @p945 (forall @t115 (or @t830 (not @t869)))) % 0.92/1.19 (assume @p946 (forall (@list @t12 @t81 @t11 @t710) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t12 @t81 @t11) (tptp.c_Set_Oinsert @t12 @t710 @t11) @t31) (not (tptp.c_lessequals @t81 @t710 @t31))))) % 0.92/1.19 (assume @p947 (forall @t870 (or (not (tptp.c_lessequals @t38 @t30 @t67)) (tptp.c_lessequals (tptp.c_Set_Oimage @t188 @t38 @t66 @t11) @t765 @t31)))) % 0.92/1.19 (assume @p948 (forall @t449 (or @t768 @t390))) % 0.92/1.19 (assume @p949 (forall @t632 (or @t549 @t631 @t551 (not @t871)))) % 0.92/1.19 (assume @p950 (forall @t632 (or @t549 @t631 @t871 @t552))) % 0.92/1.19 (assume @p951 (forall (@list @t12 @t51 @t30 @t11) (or @t872 @t640))) % 0.92/1.19 (assume @p952 (forall (@list @t12 @t51 @t32 @t11) (or (tptp.c_in @t12 @t873 @t11) (not @t850)))) % 0.92/1.19 (assume @p953 (forall @t648 (or @t499 @t390 @t645))) % 0.92/1.19 (assume @p954 (forall @t877 (or @t876 @t875 @t541))) % 0.92/1.19 (assume @p955 (forall @t648 (or @t499 @t645 @t390))) % 0.92/1.19 (assume @p956 (forall @t168 (or @t77 @t615))) % 0.92/1.19 (assume @p957 (forall @t168 (or @t89 @t615))) % 0.92/1.19 (assume @p958 (forall @t877 (or @t876 @t541 @t875))) % 0.92/1.19 (assume @p959 (forall @t84 (or @t750 @t749 @t390))) % 0.92/1.19 (assume @p960 (forall @t288 (tptp.c_lessequals @t30 @t30 @t31))) % 0.92/1.19 (assume @p961 (forall (@list @t712 @t32 @t11 @t30) (or (tptp.c_in @t712 @t32 @t11) (not (tptp.c_in @t712 @t30 @t11)) @t390))) % 0.92/1.19 (assume @p962 (forall @t485 (or @t172 @t390 @t174))) % 0.92/1.19 (assume @p963 (forall @t494 (tptp.c_lessequals @t38 @t38 @t31))) % 0.92/1.19 (assume @p964 (forall @t343 @t810)) % 0.92/1.19 (assume @p965 (forall @t264 (or (tptp.c_lessequals @t223 @t20 tptp.tc_nat) (not (tptp.c_lessequals @t224 @t20 tptp.tc_nat)) @t237))) % 0.92/1.19 (assume @p966 (forall @t535 (or @t525 @t524 @t390))) % 0.92/1.19 (assume @p967 (forall @t10 (tptp.c_lessequals @t8 @t8 tptp.tc_nat))) % 0.92/1.19 (assume @p968 (forall @t485 (or @t172 @t174 @t390))) % 0.92/1.19 (assume @p969 (forall @t78 (or @t77 @t561 @t550 @t548))) % 0.92/1.19 (assume @p970 (forall @t90 (or @t89 (tptp.c_lessequals @t74 @t38 @t11) @t553 @t552))) % 0.92/1.19 (assume @p971 (forall @t10 (not (= @t8 @t158)))) % 0.92/1.19 (assume @p972 (forall @t10 (not (= @t158 @t8)))) % 0.92/1.19 (assume @p973 (forall @t739 (or @t878 @t390 @t484))) % 0.92/1.19 (assume @p974 (forall @t10 (not (tptp.c_lessequals @t158 @t8 tptp.tc_nat)))) % 0.92/1.19 (assume @p975 (forall @t643 (tptp.hBOOL (tptp.hAPP @t642 @t38)))) % 0.92/1.19 (assume @p976 (forall @t46 (or @t879 @t330))) % 0.92/1.19 (assume @p977 (forall @t46 (or @t328 @t812))) % 0.92/1.19 (assume @p978 (forall @t546 (= (tptp.c_Set_Oimage @t188 (tptp.c_Set_Oinsert @t12 @t32 @t66) @t66 @t11) (tptp.c_Set_Oinsert @t542 @t824 @t11)))) % 0.92/1.19 (assume @p979 (forall @t643 (or (= @t821 @t297) @t174 @t500))) % 0.92/1.19 (assume @p980 (forall (@list @t69 @t64 @t11 @t66) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t69 @t64 @t11 @t66) @t66) @t65))) % 0.92/1.19 (assume @p981 (forall @t43 (or @t89 @t426 @t548 @t552))) % 0.92/1.19 (assume @p982 (forall @t43 (or @t89 @t426 @t552 @t548))) % 0.92/1.19 (assume @p983 (forall @t37 (or @t448 @t756 @t390))) % 0.92/1.19 (assume @p984 (forall @t46 (or @t143 @t831 @t330))) % 0.92/1.19 (assume @p985 (forall (@list @t12 @t30 @t11 @t51) (or @t639 @t444 (not @t872)))) % 0.92/1.19 (assume @p986 (forall @t37 (or @t448 (not (tptp.c_lessequals @t729 @t297 tptp.tc_nat)) @t390 @t645))) % 0.92/1.19 (assume @p987 @t881) % 0.92/1.19 (assume @p988 (forall (@list @t882 @t666) (or (not (= (tptp.c_Suc @t882) @t667)) (= @t882 @t666)))) % 0.92/1.19 (assume @p989 (forall @t568 (or (not (= @t342 (tptp.c_Suc @t39))) @t426))) % 0.92/1.19 (assume @p990 (forall (@list @t30 @t11 @t38) (or (tptp.c_lessequals @t297 @t821 tptp.tc_nat) @t500))) % 0.92/1.19 (assume @p991 (forall @t350 (or @t883 @t500))) % 0.92/1.19 (assume @p992 (forall (@list @t30 @t11 @t12) (or @t499 (not @t883)))) % 0.92/1.19 (assume @p993 (forall (@list @t32 @t12 @t11) (tptp.c_lessequals @t32 @t253 @t31))) % 0.92/1.19 (assume @p994 (forall @t46 (or (= @t884 (tptp.c_Suc @t607)) @t831))) % 0.92/1.19 (assume @p995 (forall (@list @t30 @t38 @t39 @t11) (or @t508 (= @t39 @t38) (not @t886)))) % 0.92/1.19 (assume @p996 (forall @t643 (= (tptp.c_Set_Oinsert @t38 @t642 @t11) @t642))) % 0.92/1.19 (assume @p997 (forall (@list @t30 @t51 @t32 @t11) (or (tptp.c_lessequals @t30 @t873 @t31) @t390))) % 0.92/1.19 (assume @p998 (forall @t706 (or @t389 @t887))) % 0.92/1.19 (assume @p999 (forall (@list @t32 @t66 @t188 @t30 @t11) (or @t866 @t512 @t500))) % 0.92/1.19 (assume @p1000 (forall (@list @t188 @t38 @t32 @t11 @t30 @t66) (or (tptp.c_in @t277 @t32 @t11) @t656 (not @t856)))) % 0.92/1.19 (assume @p1001 (forall @t643 (tptp.c_in @t38 @t642 @t11))) % 0.92/1.19 (assume @p1002 (forall (@list @t12 @t32 @t11) (tptp.c_in @t12 @t253 @t11))) % 0.92/1.19 (assume @p1003 (forall (@list @t38 @t32 @t11) (tptp.c_in @t38 @t169 @t11))) % 0.92/1.19 (assume @p1004 (forall (@list @t38 @t39 @t30 @t11) (= (tptp.c_Set_Oinsert @t38 @t885 @t11) (tptp.c_Set_Oinsert @t39 @t642 @t11)))) % 0.92/1.19 (assume @p1005 (forall (@list @t38 @t769 @t11) (or @t889 (not @t888)))) % 0.92/1.19 (assume @p1006 (forall (@list @t769 @t38 @t11) (or @t888 (not @t889)))) % 0.92/1.19 (assume @p1007 (forall @t643 (or (= @t821 (tptp.c_Suc @t297)) @t173 @t500))) % 0.92/1.19 (assume @p1008 (forall @t795 (or (tptp.c_lessequals @t794 @t793 tptp.tc_nat) @t330))) % 0.92/1.19 (assume @p1009 (forall (@list @t1 @t292 @t8) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t1 @t292 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t8 @t292 tptp.tc_nat) tptp.tc_nat) @t330))) % 0.92/1.19 (assume @p1010 (forall @t25 (or @t890 @t330 @t828 @t844))) % 0.92/1.19 (assume @p1011 (forall @t102 (or @t328 (not @t890) @t828 @t844))) % 0.92/1.19 (assume @p1012 (forall (@list @t11 @t540 @t39 @t38) (or @t96 (not (= (tptp.c_HOL_Ominus__class_Ominus @t540 @t39 @t11) @t635)) (= @t540 @t39)))) % 0.92/1.19 (assume @p1013 (forall (@list @t11 @t38 @t627 @t626) (or @t96 (not (= @t635 @t629)) (= @t627 @t626)))) % 0.92/1.19 (assume @p1014 (forall @t25 (or (not (= @t846 @t845)) @t828 @t844 @t143))) % 0.92/1.19 (assume @p1015 (forall @t46 (tptp.c_lessequals @t607 @t1 tptp.tc_nat))) % 0.92/1.19 (assume @p1016 (forall @t25 (or (= (tptp.c_HOL_Ominus__class_Ominus @t846 @t845 tptp.tc_nat) @t607) @t828 @t844))) % 0.92/1.19 (assume @p1017 (forall @t613 (= @t800 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t223 @t20 tptp.tc_nat) @t224 tptp.tc_nat)))) % 0.92/1.19 (assume @p1018 (forall @t485 (or @t172 @t887))) % 0.92/1.19 (assume @p1019 (forall @t46 (or @t330 @t814))) % 0.92/1.19 (assume @p1020 (forall @t115 (or @t813 @t328))) % 0.92/1.19 (assume @p1021 (forall (@list @t39 @t30 @t11 @t38) (or @t886 @t705))) % 0.92/1.19 (assume @p1022 (forall @t891 (or (= (tptp.c_Set_Oinsert @t277 @t249 @t66) @t249) @t174))) % 0.92/1.19 (assume @p1023 (forall @t180 (or @t685 @t390 @t173))) % 0.92/1.19 (assume @p1024 (forall @t706 (or @t389 @t173 @t728))) % 0.92/1.19 (assume @p1025 (forall @t706 (or @t389 @t728 @t173))) % 0.92/1.19 (assume @p1026 (forall @t739 (or (not (= @t642 @t169)) @t172 @t173 @t448))) % 0.92/1.19 (assume @p1027 (forall @t102 (= (tptp.c_HOL_Ominus__class_Ominus @t884 @t371 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t607 @t20 tptp.tc_nat)))) % 0.92/1.19 (assume @p1028 (forall @t350 (or (= @t348 @t30) @t640))) % 0.92/1.19 (assume @p1029 (forall @t10 (tptp.c_lessequals @t158 @t158 tptp.tc_nat))) % 0.92/1.19 (assume @p1030 (forall @t648 (or (tptp.c_lessequals @t297 @t729 tptp.tc_nat) @t390 @t645))) % 0.92/1.19 (assume @p1031 (forall @t250 (or (tptp.c_lessequals @t848 @t297 tptp.tc_nat) @t500))) % 0.92/1.19 (assume @p1032 (forall @t447 (or @t644 @t499))) % 0.92/1.19 (assume @p1033 (forall @t777 (or (= (tptp.c_HOL_Ominus__class_Ominus @t8 (tptp.c_HOL_Ominus__class_Ominus @t8 @t223 tptp.tc_nat) tptp.tc_nat) @t223) (not (tptp.c_lessequals @t223 @t8 tptp.tc_nat))))) % 0.92/1.19 (assume @p1034 (forall @t46 (or (= @t1 @t158) @t328 (not @t879)))) % 0.92/1.19 (assume @p1035 (forall @t281 (or @t280 (tptp.c_in @t277 (tptp.c_Set_Oimage @t188 @t30 @t279 @t11) @t11)))) % 0.92/1.19 (assume @p1036 (forall @t870 (or @t656 @t892))) % 0.92/1.19 (assume @p1037 (forall (@list @t188 @t38 @t30 @t66 @t11) (or @t892 @t656))) % 0.92/1.19 (assume @p1038 (forall @t891 (or (tptp.c_in @t277 @t249 @t66) @t174))) % 0.92/1.19 (assume @p1039 (forall (@list @t66 @t188 @t38 @t687 @t11) (or @t691 (tptp.c_lessequals @t277 (tptp.hAPP @t687 @t38) @t66) @t693))) % 0.92/1.19 (assume @p1040 @t893) % 0.92/1.19 (assume @p1041 @t896) % 0.92/1.19 (assume @p1042 @t899) % 0.92/1.19 (assume @p1043 @t902) % 0.92/1.19 (assume @p1044 (tptp.c_in tptp.v_pn tptp.v_U tptp.tc_Com_Opname)) % 0.92/1.19 (assume @p1045 (not @t904)) % 0.92/1.19 (assume @p1046 @t908) % 0.92/1.19 (assume @p1047 (forall @t912 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t911) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t909))))) % 0.92/1.19 (assume @p1048 (forall @t912 (or (tptp.class_Lattices_Olower__semilattice @t911) @t913))) % 0.92/1.19 (assume @p1049 (forall @t912 (or (tptp.class_Lattices_Obounded__lattice @t911) (not (tptp.class_Lattices_Obounded__lattice @t909))))) % 0.92/1.19 (assume @p1050 (forall @t912 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t911) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t909)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t910))))) % 0.92/1.19 (assume @p1051 (forall @t912 (or (tptp.class_Orderings_Opreorder @t911) (not (tptp.class_Orderings_Opreorder @t909))))) % 0.92/1.19 (assume @p1052 (forall @t912 (or (tptp.class_Lattices_Olattice @t911) @t913))) % 0.92/1.19 (assume @p1053 (forall @t912 (or (tptp.class_Orderings_Oorder @t911) (not (tptp.class_Orderings_Oorder @t909))))) % 0.92/1.19 (assume @p1054 (forall @t912 (or (tptp.class_Orderings_Otop @t911) (not (tptp.class_Orderings_Otop @t909))))) % 0.92/1.19 (assume @p1055 (forall @t912 (or (tptp.class_Orderings_Obot @t911) (not (tptp.class_Orderings_Obot @t909))))) % 0.92/1.19 (assume @p1056 (forall @t912 (or (tptp.class_HOL_Oord @t911) (not (tptp.class_HOL_Oord @t909))))) % 0.92/1.19 (assume @p1057 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.92/1.19 (assume @p1058 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.92/1.19 (assume @p1059 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.92/1.19 (assume @p1060 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.92/1.19 (assume @p1061 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.92/1.19 (assume @p1062 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.92/1.19 (assume @p1063 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.92/1.19 (assume @p1064 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.92/1.19 (assume @p1065 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.92/1.19 (assume @p1066 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.92/1.19 (assume @p1067 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.92/1.19 (assume @p1068 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.92/1.19 (assume @p1069 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.92/1.19 (assume @p1070 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.92/1.19 (assume @p1071 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.92/1.19 (assume @p1072 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.92/1.19 (assume @p1073 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.92/1.19 (assume @p1074 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.92/1.19 (assume @p1075 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.92/1.19 (assume @p1076 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.92/1.19 (assume @p1077 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.92/1.19 (assume @p1078 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.92/1.19 (assume @p1079 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.92/1.19 (assume @p1080 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.92/1.19 (assume @p1081 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.92/1.19 (assume @p1082 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.92/1.19 (assume @p1083 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.92/1.19 (assume @p1084 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.92/1.19 (assume @p1085 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.92/1.19 (assume @p1086 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.92/1.19 (assume @p1087 (tptp.class_Ring__and__Field_Odvd tptp.tc_nat)) % 0.92/1.19 (assume @p1088 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.92/1.19 (assume @p1089 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.92/1.19 (assume @p1090 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.92/1.19 (assume @p1091 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.92/1.19 (assume @p1092 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.92/1.19 (assume @p1093 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.92/1.19 (assume @p1094 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.92/1.19 (assume @p1095 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.92/1.19 (assume @p1096 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.92/1.19 (assume @p1097 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.92/1.19 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.92/1.19 (assume @p1099 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.92/1.19 (assume @p1100 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.92/1.19 (assume @p1101 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.92/1.19 (assume @p1102 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.92/1.19 (assume @p1103 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.92/1.19 (assume @p1104 (forall @t494 (tptp.c_fequal @t38 @t38 @t11))) % 0.92/1.19 (assume @p1105 (forall (@list @t394 @t914 @t11) (or (= @t394 @t914) (not (tptp.c_fequal @t394 @t914 @t11))))) % 0.92/1.19 (step @p1106 :rule instantiate :premises (@p994) :args ((@list @t897 @t898))) % 0.92/1.19 (step @p1107 :rule cnf_or_pos :args (@t919)) % 0.92/1.19 (step @p1108 :rule reordering :premises (@p1107) :args ((or @t915 @t918 (not @t919)))) % 0.92/1.19 (step @p1109 :rule chain_m_resolution :premises (@p1108 @p1042 @p1106) :args (@t918 @t920 (@list @t899 @t919))) % 0.92/1.19 (step @p1110 :rule refl :args (@t500)) % 0.92/1.19 (step @p1111 :rule refl :args (@t173)) % 0.92/1.19 (step @p1112 :rule eq-symm :args (@t732 @t297)) % 0.92/1.19 (step @p1113 :rule nary_cong :premises (@p1112 @p1111 @p1110) :args (@t807)) % 0.92/1.19 (step @p1114 :rule cong :premises (@p1113) :args (@t808)) % 0.92/1.19 (step @p1115 :rule eq_resolve :premises (@p858 @p1114)) % 0.92/1.19 (step @p1116 :rule instantiate :premises (@p1115) :args ((@list tptp.v_G @t903 tptp.t_a))) % 0.92/1.19 (step @p1117 :rule instantiate :premises (@p999) :args ((@list tptp.v_G tptp.t_a tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname))) % 0.92/1.19 (step @p1118 :rule cnf_or_pos :args (@t924)) % 0.92/1.19 (step @p1119 :rule reordering :premises (@p1118) :args ((or @t921 @t922 @t923 (not @t924)))) % 0.92/1.19 (step @p1120 :rule chain_m_resolution :premises (@p1119 @p1040 @p1041 @p1117) :args (@t923 (@list false false false) (@list @t893 @t896 @t924))) % 0.92/1.19 (step @p1121 :rule cnf_or_pos :args (@t928)) % 0.92/1.19 (step @p1122 :rule reordering :premises (@p1121) :args ((or @t904 @t925 @t927 (not @t928)))) % 0.92/1.19 (step @p1123 :rule chain_m_resolution :premises (@p1122 @p1045 @p1120 @p1116) :args (@t927 (@list true false false) (@list @t904 @t923 @t928))) % 0.92/1.19 (step @p1124 :rule instantiate :premises (@p876) :args ((@list @t903 tptp.v_G tptp.t_a))) % 0.92/1.19 (step @p1125 :rule cnf_or_pos :args (@t930)) % 0.92/1.19 (step @p1126 :rule reordering :premises (@p1125) :args ((or @t925 @t929 (not @t930)))) % 0.92/1.19 (step @p1127 :rule chain_m_resolution :premises (@p1126 @p1120 @p1124) :args (@t929 @t920 (@list @t923 @t930))) % 0.92/1.19 (step @p1128 :rule eq-symm :args (@t880 @t607)) % 0.92/1.19 (step @p1129 :rule cong :premises (@p1128) :args (@t881)) % 0.92/1.19 (step @p1130 :rule eq_resolve :premises (@p987 @p1129)) % 0.92/1.19 (step @p1131 :rule instantiate :premises (@p1130) :args ((@list @t897 tptp.v_na))) % 0.92/1.19 (step @p1132 :rule refl :args (@t932)) % 0.92/1.19 (step @p1133 :rule refl :args (@t933)) % 0.92/1.19 (step @p1134 :rule refl :args (@t934)) % 0.92/1.19 (step @p1135 :rule refl :args (@t935)) % 0.92/1.19 (step @p1136 :rule bool-double-not-elim :args (@t907)) % 0.92/1.19 (step @p1137 :rule refl :args (@t936)) % 0.92/1.19 (step @p1138 :rule nary_cong :premises (@p1137 @p1136 @p1135 @p1134 @p1133 @p1132) :args ((or @t936 (not @t908) @t935 @t934 @t933 @t932))) % 0.92/1.19 (assume-push @p1188 @t931) % 0.92/1.19 (assume-push @p1189 @t932) % 0.92/1.19 (step @p1141 :rule evaluate :args ((= false true))) % 0.92/1.19 (step @p1142 :rule true_intro :premises (@p1131)) % 0.92/1.19 (step @p1143 :rule bool-eq-false :args (@t931)) % 0.92/1.19 (step @p1144 :rule symm :premises (@p1143)) % 0.92/1.19 (step @p1145 :rule eq-symm :args (@t917 @t905)) % 0.92/1.19 (step @p1146 :rule cong :premises (@p1145) :args (@t938)) % 0.92/1.19 (step @p1147 :rule bool-eq-false :args (@t937)) % 0.92/1.19 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 0.92/1.19 (step @p1149 :rule trans :premises (@p1148 @p1144)) % 0.92/1.19 (step @p1150 :rule false_intro :premises (@p1046)) % 0.92/1.19 (step @p1151 :rule refl :args (@t905)) % 0.92/1.19 (step @p1152 :rule symm :premises (@p1127)) % 0.92/1.19 (step @p1153 :rule cong :premises (@p1123) :args (@t939)) % 0.92/1.19 (step @p1154 :rule symm :premises (@p1043)) % 0.92/1.19 (step @p1155 :rule cong :premises (@p1154) :args (@t916)) % 0.92/1.19 (step @p1156 :rule trans :premises (@p1109 @p1155 @p1153 @p1152)) % 0.92/1.19 (step @p1157 :rule cong :premises (@p1156 @p1151) :args (@t937)) % 0.92/1.19 (step @p1158 :rule trans :premises (@p1157 @p1150)) % 0.92/1.19 (step @p1159 :rule eq_resolve :premises (@p1158 @p1149)) % 0.92/1.19 (step @p1160 :rule symm :premises (@p1159)) % 0.92/1.19 (step @p1161 :rule trans :premises (@p1160 @p1142)) % 0.92/1.19 (step @p1162 false :rule eq_resolve :premises (@p1161 @p1141)) % 0.92/1.19 (step-pop @p1190 :rule scope :premises (@p1162)) % 0.92/1.19 (step-pop @p1191 :rule scope :premises (@p1190)) % 0.92/1.19 (step @p1163 :rule process_scope :premises (@p1191) :args (false)) % 0.92/1.19 (assume-push @p1192 @t902) % 0.92/1.19 (assume-push @p1193 @t908) % 0.92/1.19 (assume-push @p1194 @t927) % 0.92/1.19 (assume-push @p1195 @t929) % 0.92/1.19 (assume-push @p1196 @t918) % 0.92/1.19 (assume-push @p1197 @t931) % 0.92/1.19 (step @p1143 :rule bool-eq-false :args (@t931)) % 0.92/1.19 (step @p1144 :rule symm :premises (@p1143)) % 0.92/1.19 (step @p1145 :rule eq-symm :args (@t917 @t905)) % 0.92/1.19 (step @p1146 :rule cong :premises (@p1145) :args (@t938)) % 0.92/1.19 (step @p1147 :rule bool-eq-false :args (@t937)) % 0.92/1.19 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 0.92/1.19 (step @p1149 :rule trans :premises (@p1148 @p1144)) % 0.92/1.19 (step @p1150 :rule false_intro :premises (@p1046)) % 0.92/1.19 (step @p1151 :rule refl :args (@t905)) % 0.92/1.19 (step @p1152 :rule symm :premises (@p1127)) % 0.92/1.19 (step @p1153 :rule cong :premises (@p1123) :args (@t939)) % 0.92/1.19 (step @p1154 :rule symm :premises (@p1043)) % 0.92/1.19 (step @p1155 :rule cong :premises (@p1154) :args (@t916)) % 0.92/1.19 (step @p1156 :rule trans :premises (@p1109 @p1155 @p1153 @p1152)) % 0.92/1.19 (step @p1157 :rule cong :premises (@p1156 @p1151) :args (@t937)) % 0.92/1.19 (step @p1158 :rule trans :premises (@p1157 @p1150)) % 0.92/1.19 (step @p1172 :rule eq_resolve :premises (@p1158 @p1149)) % 0.92/1.19 (step @p1173 :rule false_elim :premises (@p1172)) % 0.92/1.19 (step @p1174 :rule and_intro :premises (@p1131 @p1173)) % 0.92/1.19 (step-pop @p1198 :rule scope :premises (@p1174)) % 0.92/1.19 (step-pop @p1199 :rule scope :premises (@p1198)) % 0.92/1.19 (step-pop @p1200 :rule scope :premises (@p1199)) % 0.92/1.19 (step-pop @p1201 :rule scope :premises (@p1200)) % 0.92/1.19 (step-pop @p1202 :rule scope :premises (@p1201)) % 0.92/1.19 (step-pop @p1203 :rule scope :premises (@p1202)) % 0.92/1.19 (step @p1175 :rule process_scope :premises (@p1203) :args (@t940)) % 0.92/1.19 (step @p1182 :rule implies_elim :premises (@p1175)) % 0.92/1.19 (step @p1183 :rule resolution :premises (@p1182 @p1163) :args (true @t940)) % 0.92/1.19 (step @p1184 :rule not_and :premises (@p1183)) % 0.92/1.19 (step @p1185 :rule eq_resolve :premises (@p1184 @p1138)) % 0.92/1.19 (step @p1186 :rule reordering :premises (@p1185) :args ((or @t907 @t936 @t935 @t934 @t933 @t932))) % 0.92/1.19 (step @p1187 false :rule chain_m_resolution :premises (@p1186 @p1131 @p1127 @p1123 @p1109 @p1046 @p1043) :args (false (@list false false false false true false) (@list @t931 @t929 @t927 @t918 @t907 @t902))) % 0.92/1.19 ) % 0.92/1.19 % SZS output end Proof % 0.92/1.19 % cvc5 exiting %------------------------------------------------------------------------------