%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV882-1 : 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 : n021.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 2.22s 2.41s % Output : Proof 2.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV882-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:20:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.42/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.22/2.41 % SZS status Unsatisfiable % 2.22/2.41 % SZS output start Proof % 2.22/2.44 ( % 2.22/2.44 (declare-sort $$unsorted 0) % 2.22/2.44 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_na $$unsorted) % 2.22/2.44 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_P $$unsorted) % 2.22/2.44 (declare-const tptp.t_a $$unsorted) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_pn $$unsorted) % 2.22/2.44 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_U $$unsorted) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.tc_nat $$unsorted) % 2.22/2.44 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_wt (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_sko__local__Xassms__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.v_mgt__call $$unsorted) % 2.22/2.44 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.tc_bool $$unsorted) % 2.22/2.44 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.tc_Com_Ocom $$unsorted) % 2.22/2.44 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_G $$unsorted) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.v_mgt (-> $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 2.22/2.44 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.tc_Com_Opname $$unsorted) % 2.22/2.44 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.22/2.44 (define @t1 () (@var "T_a" $$unsorted)) % 2.22/2.44 (define @t2 () (@var "V_c" $$unsorted)) % 2.22/2.44 (define @t3 () (@var "V_b" $$unsorted)) % 2.22/2.44 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1)) % 2.22/2.44 (define @t5 () (@var "V_a" $$unsorted)) % 2.22/2.44 (define @t6 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t4 @t1)) % 2.22/2.44 (define @t7 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t3 @t1)) % 2.22/2.44 (define @t8 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t2 @t1)) % 2.22/2.44 (define @t9 () (= @t8 @t6)) % 2.22/2.44 (define @t10 () (@list @t1 @t5 @t3 @t2)) % 2.22/2.44 (define @t11 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t2 @t1)) % 2.22/2.44 (define @t12 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 2.22/2.44 (define @t13 () (@var "V_k" $$unsorted)) % 2.22/2.44 (define @t14 () (@var "V_n" $$unsorted)) % 2.22/2.44 (define @t15 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t16 () (@var "V_m" $$unsorted)) % 2.22/2.44 (define @t17 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t18 () (@list @t16 @t14 @t13)) % 2.22/2.44 (define @t19 () (@var "V_z" $$unsorted)) % 2.22/2.44 (define @t20 () (@var "V_x" $$unsorted)) % 2.22/2.44 (define @t21 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 tptp.tc_nat)) % 2.22/2.44 (define @t22 () (@var "V_y" $$unsorted)) % 2.22/2.44 (define @t23 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t19 tptp.tc_nat)) % 2.22/2.44 (define @t24 () (@list @t20 @t22 @t19)) % 2.22/2.44 (define @t25 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 @t1)) % 2.22/2.44 (define @t26 () (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Oplus__class_Oplus @t22 @t19 @t1) @t1)) % 2.22/2.44 (define @t27 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 2.22/2.44 (define @t28 () (@list @t1 @t20 @t22 @t19)) % 2.22/2.44 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t22 @t1)) % 2.22/2.44 (define @t30 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 2.22/2.44 (define @t31 () (tptp.c_HOL_Oord__class_Oless @t22 @t20 @t1)) % 2.22/2.44 (define @t32 () (not @t31)) % 2.22/2.44 (define @t33 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t22 @t1))) % 2.22/2.44 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t1)) % 2.22/2.44 (define @t35 () (not (tptp.class_Orderings_Oorder @t1))) % 2.22/2.44 (define @t36 () (@list @t1 @t19 @t20 @t22)) % 2.22/2.44 (define @t37 () (tptp.tc_fun @t1 tptp.tc_bool)) % 2.22/2.44 (define @t38 () (@var "V_B" $$unsorted)) % 2.22/2.44 (define @t39 () (@var "V_A" $$unsorted)) % 2.22/2.44 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t39 @t38 @t37)) % 2.22/2.44 (define @t41 () (not @t40)) % 2.22/2.44 (define @t42 () (@var "V_C" $$unsorted)) % 2.22/2.44 (define @t43 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t42 @t37))) % 2.22/2.44 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t39 @t42 @t37)) % 2.22/2.44 (define @t45 () (@list @t39 @t42 @t1 @t38)) % 2.22/2.44 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t20 @t22 @t1)) % 2.22/2.44 (define @t47 () (not @t46)) % 2.22/2.44 (define @t48 () (not (tptp.c_HOL_Oord__class_Oless @t22 @t19 @t1))) % 2.22/2.44 (define @t49 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t1)) % 2.22/2.44 (define @t50 () (not (tptp.class_Orderings_Opreorder @t1))) % 2.22/2.44 (define @t51 () (@list @t1 @t20 @t19 @t22)) % 2.22/2.44 (define @t52 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 2.22/2.44 (define @t53 () (tptp.c_lessequals @t52 @t5 @t1)) % 2.22/2.44 (define @t54 () (not @t53)) % 2.22/2.44 (define @t55 () (not (tptp.c_lessequals @t52 @t3 @t1))) % 2.22/2.44 (define @t56 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 2.22/2.44 (define @t57 () (@list @t1 @t5 @t3)) % 2.22/2.44 (define @t58 () (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t52 @t1) @t52)) % 2.22/2.44 (define @t59 () (not (tptp.c_lessequals @t52 @t52 @t1))) % 2.22/2.44 (define @t60 () (@list @t1)) % 2.22/2.44 (define @t61 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 2.22/2.44 (define @t62 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 2.22/2.44 (define @t63 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t5 @t1)) % 2.22/2.44 (define @t64 () (tptp.c_lessequals @t52 @t63 @t1)) % 2.22/2.44 (define @t65 () (@list @t1 @t5)) % 2.22/2.44 (define @t66 () (tptp.c_Suc @t61)) % 2.22/2.44 (define @t67 () (= @t14 @t61)) % 2.22/2.44 (define @t68 () (@list @t14)) % 2.22/2.44 (define @t69 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 2.22/2.44 (define @t70 () (tptp.c_Suc @t14)) % 2.22/2.44 (define @t71 () (tptp.c_HOL_Oplus__class_Oplus @t66 @t61 tptp.tc_nat)) % 2.22/2.44 (define @t72 () (tptp.c_HOL_Oord__class_Oless @t52 @t5 @t1)) % 2.22/2.44 (define @t73 () (not @t72)) % 2.22/2.44 (define @t74 () (not (tptp.c_lessequals @t3 @t2 @t1))) % 2.22/2.44 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t3 @t11 @t1)) % 2.22/2.44 (define @t76 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 2.22/2.44 (define @t77 () (@list @t1 @t3 @t5 @t2)) % 2.22/2.44 (define @t78 () (@var "T_b" $$unsorted)) % 2.22/2.44 (define @t79 () (@var "V_f" $$unsorted)) % 2.22/2.44 (define @t80 () (tptp.c_Fun_Oinj__on @t79 @t39 @t1 @t78)) % 2.22/2.44 (define @t81 () (not @t80)) % 2.22/2.44 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 @t37)) % 2.22/2.44 (define @t83 () (tptp.c_Set_Ovimage @t79 @t38 @t1 @t78)) % 2.22/2.44 (define @t84 () (tptp.c_Set_Ovimage @t79 @t39 @t1 @t78)) % 2.22/2.44 (define @t85 () (tptp.tc_fun @t78 tptp.tc_bool)) % 2.22/2.44 (define @t86 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 @t85)) % 2.22/2.44 (define @t87 () (@var "V_i" $$unsorted)) % 2.22/2.44 (define @t88 () (@list @t87 @t16)) % 2.22/2.44 (define @t89 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t20 tptp.tc_nat)) % 2.22/2.44 (define @t90 () (@list @t16 @t20)) % 2.22/2.44 (define @t91 () (tptp.c_lessequals @t3 @t11 @t1)) % 2.22/2.44 (define @t92 () (not (tptp.c_lessequals @t3 @t5 @t1))) % 2.22/2.44 (define @t93 () (tptp.c_HOL_Oord__class_Oless @t20 @t22 tptp.tc_nat)) % 2.22/2.44 (define @t94 () (not @t93)) % 2.22/2.44 (define @t95 () (tptp.c_HOL_Oord__class_Oless @t20 @t23 tptp.tc_nat)) % 2.22/2.44 (define @t96 () (@var "V_j" $$unsorted)) % 2.22/2.44 (define @t97 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t96 tptp.tc_nat)) % 2.22/2.44 (define @t98 () (@list @t87 @t13 @t96)) % 2.22/2.44 (define @t99 () (not (tptp.c_HOL_Oord__class_Oless @t87 @t96 tptp.tc_nat))) % 2.22/2.44 (define @t100 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t101 () (@list @t87 @t96 @t16)) % 2.22/2.44 (define @t102 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t96 tptp.tc_nat)) % 2.22/2.44 (define @t103 () (@list @t87 @t16 @t96)) % 2.22/2.44 (define @t104 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t5 @t1)) % 2.22/2.44 (define @t105 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t5 @t1)) % 2.22/2.44 (define @t106 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t107 () (@list @t16 @t14)) % 2.22/2.44 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t16 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t109 () (@var "V_l" $$unsorted)) % 2.22/2.44 (define @t110 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t109 tptp.tc_nat))) % 2.22/2.44 (define @t111 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t112 () (@list @t1 @t20 @t22)) % 2.22/2.44 (define @t113 () (= @t16 @t14)) % 2.22/2.44 (define @t114 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t1)) % 2.22/2.44 (define @t115 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 2.22/2.44 (define @t116 () (@list @t1 @t16 @t14)) % 2.22/2.44 (define @t117 () (= @t5 @t52)) % 2.22/2.44 (define @t118 () (not (tptp.class_Int_Onumber__ring @t1))) % 2.22/2.44 (define @t119 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 2.22/2.44 (define @t120 () (not (tptp.c_lessequals @t52 @t20 @t1))) % 2.22/2.44 (define @t121 () (not (tptp.c_lessequals @t52 @t22 @t1))) % 2.22/2.44 (define @t122 () (not (= @t29 @t52))) % 2.22/2.44 (define @t123 () (= @t16 @t61)) % 2.22/2.44 (define @t124 () (not (= @t17 @t61))) % 2.22/2.44 (define @t125 () (@var "V_times" $$unsorted)) % 2.22/2.44 (define @t126 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t125 @t1))) % 2.22/2.44 (define @t127 () (tptp.hAPP @t125 @t3)) % 2.22/2.44 (define @t128 () (tptp.hAPP @t125 @t5)) % 2.22/2.44 (define @t129 () (tptp.hAPP @t128 (tptp.hAPP @t127 @t2))) % 2.22/2.44 (define @t130 () (tptp.hAPP @t128 @t3)) % 2.22/2.44 (define @t131 () (@list @t125 @t5 @t3 @t2 @t1)) % 2.22/2.44 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t5 @t52 @t1)) % 2.22/2.44 (define @t133 () (not @t132)) % 2.22/2.44 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t63 @t52 @t1)) % 2.22/2.44 (define @t135 () (not @t134)) % 2.22/2.44 (define @t136 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 2.22/2.44 (define @t137 () (= @t16 @t66)) % 2.22/2.44 (define @t138 () (= @t14 @t66)) % 2.22/2.44 (define @t139 () (not (= @t66 @t17))) % 2.22/2.44 (define @t140 () (tptp.c_HOL_Oone__class_Oone @t1)) % 2.22/2.44 (define @t141 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 2.22/2.44 (define @t142 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 2.22/2.44 (define @t143 () (tptp.c_lessequals @t5 @t52 @t1)) % 2.22/2.44 (define @t144 () (not @t143)) % 2.22/2.44 (define @t145 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t52 @t1))) % 2.22/2.44 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t7 @t52 @t1)) % 2.22/2.44 (define @t147 () (not (tptp.c_lessequals @t3 @t52 @t1))) % 2.22/2.44 (define @t148 () (tptp.c_Finite__Set_Ofinite @t39 @t78)) % 2.22/2.44 (define @t149 () (@list @t1 @t79 @t39 @t78)) % 2.22/2.44 (define @t150 () (tptp.c_Finite__Set_Ofinite @t39 @t1)) % 2.22/2.44 (define @t151 () (tptp.c_Finite__Set_Osetsum @t79 @t39 @t1 @t78)) % 2.22/2.44 (define @t152 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t78))) % 2.22/2.44 (define @t153 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t69 tptp.tc_nat)) % 2.22/2.44 (define @t154 () (tptp.c_Orderings_Obot__class_Obot @t85)) % 2.22/2.44 (define @t155 () (@list @t1 @t79 @t78)) % 2.22/2.44 (define @t156 () (@list @t20 @t1)) % 2.22/2.44 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 tptp.tc_nat)) % 2.22/2.44 (define @t158 () (@list @t20)) % 2.22/2.44 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 @t1)) % 2.22/2.44 (define @t160 () (not @t159)) % 2.22/2.44 (define @t161 () (@list @t1 @t20)) % 2.22/2.44 (define @t162 () (not (tptp.class_Orderings_Olinorder @t1))) % 2.22/2.44 (define @t163 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t3 @t1))) % 2.22/2.44 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t52 @t7 @t1)) % 2.22/2.44 (define @t165 () (= @t20 @t22)) % 2.22/2.44 (define @t166 () (@list @t1 @t22 @t20)) % 2.22/2.44 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t14 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t168 () (@list @t14 @t16)) % 2.22/2.44 (define @t169 () (@var "V_P" $$unsorted)) % 2.22/2.44 (define @t170 () (tptp.c_HOL_Oord__class_Oless @t61 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t171 () (not @t170)) % 2.22/2.44 (define @t172 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t69 tptp.tc_nat))) % 2.22/2.44 (define @t173 () (@var "V_d" $$unsorted)) % 2.22/2.44 (define @t174 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t173 @t1)) % 2.22/2.44 (define @t175 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t174 @t1)) % 2.22/2.44 (define @t176 () (@list @t1 @t5 @t2 @t173)) % 2.22/2.44 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t61 @t17 tptp.tc_nat)) % 2.22/2.44 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t61 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t179 () (@list @t16)) % 2.22/2.44 (define @t180 () (@var "V_u" $$unsorted)) % 2.22/2.44 (define @t181 () (@var "V_Q" $$unsorted)) % 2.22/2.44 (define @t182 () (@list @t39 @t38 @t1)) % 2.22/2.44 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t61 @t66 tptp.tc_nat)) % 2.22/2.44 (define @t184 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1))) % 2.22/2.44 (define @t185 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 2.22/2.44 (define @t186 () (tptp.c_Suc @t16)) % 2.22/2.44 (define @t187 () (@list @t1 @t16)) % 2.22/2.44 (define @t188 () (tptp.c_Suc @t20)) % 2.22/2.44 (define @t189 () (= @t22 @t19)) % 2.22/2.44 (define @t190 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t191 () (@list @t16 @t13 @t14)) % 2.22/2.44 (define @t192 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t193 () (@list @t13 @t16 @t14)) % 2.22/2.44 (define @t194 () (= @t3 @t2)) % 2.22/2.44 (define @t195 () (not (= @t7 @t11))) % 2.22/2.44 (define @t196 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 2.22/2.44 (define @t197 () (not (= @t17 @t66))) % 2.22/2.44 (define @t198 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t173 @t1)) % 2.22/2.44 (define @t199 () (@list @t1 @t14)) % 2.22/2.44 (define @t200 () (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t5 @t1) @t5)) % 2.22/2.44 (define @t201 () (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t52 @t1) @t5)) % 2.22/2.44 (define @t202 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 2.22/2.44 (define @t203 () (tptp.c_lessequals @t5 @t3 @t1)) % 2.22/2.44 (define @t204 () (not @t203)) % 2.22/2.44 (define @t205 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t173 @t1))) % 2.22/2.44 (define @t206 () (tptp.c_HOL_Oord__class_Oless @t11 @t198 @t1)) % 2.22/2.44 (define @t207 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 2.22/2.44 (define @t208 () (@list @t1 @t5 @t2 @t3 @t173)) % 2.22/2.44 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t1)) % 2.22/2.44 (define @t210 () (not @t209)) % 2.22/2.44 (define @t211 () (not (tptp.c_lessequals @t2 @t173 @t1))) % 2.22/2.44 (define @t212 () (not @t178)) % 2.22/2.44 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t52 @t63 @t1)) % 2.22/2.44 (define @t214 () (tptp.c_in @t2 @t82 @t1)) % 2.22/2.44 (define @t215 () (not @t214)) % 2.22/2.44 (define @t216 () (tptp.c_in @t2 @t38 @t1)) % 2.22/2.44 (define @t217 () (@list @t2 @t38 @t1 @t39)) % 2.22/2.44 (define @t218 () (tptp.c_in @t2 @t39 @t1)) % 2.22/2.44 (define @t219 () (not @t218)) % 2.22/2.44 (define @t220 () (tptp.c_in @t20 @t39 @t1)) % 2.22/2.44 (define @t221 () (not @t220)) % 2.22/2.44 (define @t222 () (not (tptp.c_in @t22 @t39 @t1))) % 2.22/2.44 (define @t223 () (tptp.hAPP @t79 @t20)) % 2.22/2.44 (define @t224 () (not (= @t223 (tptp.hAPP @t79 @t22)))) % 2.22/2.44 (define @t225 () (@list @t79 @t20 @t22 @t39 @t1 @t78)) % 2.22/2.44 (define @t226 () (@var "V_xa" $$unsorted)) % 2.22/2.44 (define @t227 () (tptp.hAPP @t79 @t5)) % 2.22/2.44 (define @t228 () (tptp.c_in @t227 @t38 @t78)) % 2.22/2.44 (define @t229 () (tptp.c_in @t5 @t83 @t1)) % 2.22/2.44 (define @t230 () (tptp.c_Set_Ovimage @t79 @t39 @t78 @t1)) % 2.22/2.44 (define @t231 () (tptp.c_Set_Ovimage @t79 @t38 @t78 @t1)) % 2.22/2.44 (define @t232 () (@list @t79 @t5 @t38 @t78 @t1)) % 2.22/2.44 (define @t233 () (tptp.c_lessequals @t20 @t22 @t1)) % 2.22/2.44 (define @t234 () (not @t233)) % 2.22/2.44 (define @t235 () (= @t5 @t3)) % 2.22/2.44 (define @t236 () (tptp.c_HOL_Oord__class_Oless @t3 @t5 @t1)) % 2.22/2.44 (define @t237 () (@list @t1 @t3 @t5)) % 2.22/2.44 (define @t238 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 2.22/2.44 (define @t239 () (not (tptp.c_lessequals @t22 @t19 @t1))) % 2.22/2.44 (define @t240 () (tptp.c_lessequals @t22 @t20 @t1)) % 2.22/2.44 (define @t241 () (not @t240)) % 2.22/2.44 (define @t242 () (not (tptp.c_lessequals @t19 @t22 @t1))) % 2.22/2.44 (define @t243 () (@var "V_X" $$unsorted)) % 2.22/2.44 (define @t244 () (tptp.hAPP @t79 @t243)) % 2.22/2.44 (define @t245 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 2.22/2.44 (define @t246 () (tptp.c_lessequals @t104 @t245 @t1)) % 2.22/2.44 (define @t247 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 2.22/2.44 (define @t248 () (@list @t1 @t2 @t5 @t3)) % 2.22/2.44 (define @t249 () (tptp.c_lessequals @t11 @t4 @t1)) % 2.22/2.44 (define @t250 () (@list @t1 @t5 @t2 @t3)) % 2.22/2.44 (define @t251 () (tptp.c_lessequals @t20 @t20 @t1)) % 2.22/2.44 (define @t252 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t109 tptp.tc_nat)) % 2.22/2.44 (define @t253 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t254 () (@list @t87 @t13 @t96 @t109)) % 2.22/2.44 (define @t255 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t1)) % 2.22/2.44 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t255 @t52 @t1)) % 2.22/2.44 (define @t257 () (not @t108)) % 2.22/2.44 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t115 @t114 @t1)) % 2.22/2.44 (define @t259 () (tptp.c_HOL_Oord__class_Oless @t52 @t114 @t1)) % 2.22/2.44 (define @t260 () (tptp.c_lessequals @t63 @t52 @t1)) % 2.22/2.44 (define @t261 () (@list @t87 @t96)) % 2.22/2.44 (define @t262 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t87 tptp.tc_nat)) % 2.22/2.44 (define @t263 () (tptp.c_HOL_Ominus__class_Ominus @t96 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t264 () (tptp.c_HOL_Oord__class_Oless @t87 @t263 tptp.tc_nat)) % 2.22/2.44 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t253 @t96 tptp.tc_nat)) % 2.22/2.44 (define @t266 () (@list @t87 @t96 @t13)) % 2.22/2.44 (define @t267 () (tptp.c_HOL_Oord__class_Oless @t11 @t4 @t1)) % 2.22/2.44 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t104 @t245 @t1)) % 2.22/2.44 (define @t269 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t192 @t111 tptp.tc_nat)) % 2.22/2.44 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t3 tptp.tc_nat))) % 2.22/2.44 (define @t272 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t61 @t272 tptp.tc_nat)) % 2.22/2.44 (define @t274 () (tptp.hBOOL (tptp.hAPP @t84 @t20))) % 2.22/2.44 (define @t275 () (tptp.hBOOL (tptp.hAPP @t39 @t223))) % 2.22/2.44 (define @t276 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t277 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t276 tptp.tc_nat) @t16)) % 2.22/2.44 (define @t278 () (not @t236)) % 2.22/2.44 (define @t279 () (@var "V_F" $$unsorted)) % 2.22/2.44 (define @t280 () (not (tptp.c_Finite__Set_Ofinite @t279 @t1))) % 2.22/2.44 (define @t281 () (tptp.c_Set_Oinsert @t20 @t38 @t1)) % 2.22/2.44 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t39 @t281 @t37)) % 2.22/2.44 (define @t283 () (not @t282)) % 2.22/2.44 (define @t284 () (tptp.c_in @t20 @t38 @t1)) % 2.22/2.44 (define @t285 () (tptp.c_Orderings_Obot__class_Obot @t37)) % 2.22/2.44 (define @t286 () (tptp.c_Set_Oinsert @t20 @t285 @t1)) % 2.22/2.44 (define @t287 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t286 @t37)) % 2.22/2.44 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t287 @t38 @t37)) % 2.22/2.44 (define @t289 () (@list @t39 @t20 @t1 @t38)) % 2.22/2.44 (define @t290 () (not @t288)) % 2.22/2.44 (define @t291 () (@list @t39 @t20 @t38 @t1)) % 2.22/2.44 (define @t292 () (not @t150)) % 2.22/2.44 (define @t293 () (not (tptp.c_lessequals @t38 @t39 @t37))) % 2.22/2.44 (define @t294 () (not (tptp.class_OrderedGroup_Oab__group__add @t78))) % 2.22/2.44 (define @t295 () (tptp.c_lessequals @t39 @t38 @t37)) % 2.22/2.44 (define @t296 () (not @t295)) % 2.22/2.44 (define @t297 () (= @t39 @t285)) % 2.22/2.44 (define @t298 () (tptp.c_Finite__Set_Ocard @t39 @t1)) % 2.22/2.44 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t61 @t298 tptp.tc_nat)) % 2.22/2.44 (define @t300 () (@list @t39 @t1)) % 2.22/2.44 (define @t301 () (not (tptp.c_Finite__Set_Ofinite @t38 @t1))) % 2.22/2.44 (define @t302 () (tptp.c_Finite__Set_Ocard @t38 @t1)) % 2.22/2.44 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t298 @t302 tptp.tc_nat)) % 2.22/2.44 (define @t304 () (tptp.c_lessequals @t255 @t52 @t1)) % 2.22/2.44 (define @t305 () (tptp.c_Set_Oinsert @t20 @t39 @t1)) % 2.22/2.44 (define @t306 () (tptp.c_HOL_Ominus__class_Ominus @t305 @t38 @t37)) % 2.22/2.44 (define @t307 () (@list @t20 @t39 @t1 @t38)) % 2.22/2.44 (define @t308 () (not @t284)) % 2.22/2.44 (define @t309 () (@list @t39 @t38 @t1 @t20)) % 2.22/2.44 (define @t310 () (not (tptp.c_in @t5 @t243 @t1))) % 2.22/2.44 (define @t311 () (tptp.c_in @t5 @t39 @t1)) % 2.22/2.44 (define @t312 () (tptp.c_Set_Oinsert @t5 @t285 @t1)) % 2.22/2.44 (define @t313 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t312 @t37)) % 2.22/2.44 (define @t314 () (tptp.c_Finite__Set_Osetsum @t79 @t313 @t1 @t78)) % 2.22/2.44 (define @t315 () (@list @t78 @t79 @t39 @t5 @t1)) % 2.22/2.44 (define @t316 () (not (tptp.c_lessequals @t279 @t39 @t37))) % 2.22/2.44 (define @t317 () (not (tptp.hBOOL (tptp.hAPP @t169 @t285)))) % 2.22/2.44 (define @t318 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 @t39 @t169 @t1)) % 2.22/2.44 (define @t319 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 @t39 @t169 @t1)) % 2.22/2.44 (define @t320 () (tptp.hBOOL (tptp.hAPP @t169 @t279))) % 2.22/2.44 (define @t321 () (@list @t169 @t279 @t39 @t1)) % 2.22/2.44 (define @t322 () (tptp.c_lessequals @t16 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t323 () (not @t322)) % 2.22/2.44 (define @t324 () (tptp.c_lessequals @t115 @t114 @t1)) % 2.22/2.44 (define @t325 () (tptp.c_Set_Oinsert @t5 @t39 @t1)) % 2.22/2.44 (define @t326 () (tptp.c_Fun_Oinj__on @t79 @t325 @t1 @t78)) % 2.22/2.44 (define @t327 () (not @t326)) % 2.22/2.44 (define @t328 () (tptp.c_in @t227 (tptp.c_Set_Oimage @t79 @t313 @t1 @t78) @t78)) % 2.22/2.44 (define @t329 () (@list @t79 @t5 @t39 @t1 @t78)) % 2.22/2.44 (define @t330 () (tptp.c_Set_Oinsert @t5 @t38 @t1)) % 2.22/2.44 (define @t331 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t330 @t37)) % 2.22/2.44 (define @t332 () (tptp.c_Finite__Set_Ofinite @t331 @t1)) % 2.22/2.44 (define @t333 () (tptp.c_Finite__Set_Ofinite @t82 @t1)) % 2.22/2.44 (define @t334 () (not @t333)) % 2.22/2.44 (define @t335 () (@list @t39 @t5 @t38 @t1)) % 2.22/2.44 (define @t336 () (tptp.c_Set_Oinsert @t5 @t313 @t1)) % 2.22/2.44 (define @t337 () (@list @t5 @t39 @t1)) % 2.22/2.44 (define @t338 () (tptp.c_Set_Oimage @t79 @t39 @t78 @t1)) % 2.22/2.44 (define @t339 () (tptp.c_COMBK @t2 @t1 @t78)) % 2.22/2.44 (define @t340 () (tptp.c_HOL_Oord__class_Oless @t20 @t188 tptp.tc_nat)) % 2.22/2.44 (define @t341 () (tptp.c_lessequals @t20 @t20 tptp.tc_nat)) % 2.22/2.44 (define @t342 () (tptp.c_HOL_Oord__class_Oless @t16 @t70 tptp.tc_nat)) % 2.22/2.44 (define @t343 () (not @t342)) % 2.22/2.44 (define @t344 () (tptp.c_lessequals @t186 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t345 () (not @t344)) % 2.22/2.44 (define @t346 () (tptp.c_lessequals @t70 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t347 () (not @t346)) % 2.22/2.44 (define @t348 () (tptp.c_HOL_Oord__class_Oless @t14 @t186 tptp.tc_nat)) % 2.22/2.44 (define @t349 () (not @t348)) % 2.22/2.44 (define @t350 () (= @t14 @t16)) % 2.22/2.44 (define @t351 () (tptp.c_Set_Oimage @t79 @t38 @t78 @t1)) % 2.22/2.44 (define @t352 () (@list @t79 @t39 @t78 @t1 @t38)) % 2.22/2.44 (define @t353 () (@list @t79 @t39 @t78 @t1)) % 2.22/2.44 (define @t354 () (= @t298 @t61)) % 2.22/2.44 (define @t355 () (tptp.c_Finite__Set_Ocard @t285 @t1)) % 2.22/2.44 (define @t356 () (tptp.c_lessequals @t13 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t357 () (not @t356)) % 2.22/2.44 (define @t358 () (= @t276 @t61)) % 2.22/2.44 (define @t359 () (not @t358)) % 2.22/2.44 (define @t360 () (not (tptp.c_lessequals @t13 @t96 tptp.tc_nat))) % 2.22/2.44 (define @t361 () (tptp.c_lessequals @t87 @t263 tptp.tc_nat)) % 2.22/2.44 (define @t362 () (tptp.c_lessequals @t253 @t96 tptp.tc_nat)) % 2.22/2.44 (define @t363 () (tptp.c_lessequals @t263 @t87 tptp.tc_nat)) % 2.22/2.44 (define @t364 () (tptp.c_lessequals @t96 @t253 tptp.tc_nat)) % 2.22/2.44 (define @t365 () (@list @t96 @t87 @t13)) % 2.22/2.44 (define @t366 () (@list @t96 @t13 @t87)) % 2.22/2.44 (define @t367 () (tptp.c_COMBK @t2 @t78 @t1)) % 2.22/2.44 (define @t368 () (@var "V_y_H" $$unsorted)) % 2.22/2.44 (define @t369 () (@var "V_x_H" $$unsorted)) % 2.22/2.44 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t369 @t368 @t1)) % 2.22/2.44 (define @t371 () (tptp.c_HOL_Ominus__class_Ominus @t369 @t368 @t1)) % 2.22/2.44 (define @t372 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t22 @t1)) % 2.22/2.44 (define @t373 () (not (= @t372 @t371))) % 2.22/2.44 (define @t374 () (@list @t1 @t20 @t22 @t369 @t368)) % 2.22/2.44 (define @t375 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t1)) % 2.22/2.44 (define @t376 () (= @t375 @t52)) % 2.22/2.44 (define @t377 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 2.22/2.44 (define @t378 () (not (= @t255 @t52))) % 2.22/2.44 (define @t379 () (@list @t39 @t1 @t38)) % 2.22/2.44 (define @t380 () (@list @t79 @t78 @t1)) % 2.22/2.44 (define @t381 () (@list @t1 @t39)) % 2.22/2.44 (define @t382 () (tptp.c_HOL_Oord__class_Oless @t186 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t383 () (not (tptp.c_HOL_Oord__class_Oless @t96 @t13 tptp.tc_nat))) % 2.22/2.44 (define @t384 () (tptp.c_Suc @t87)) % 2.22/2.44 (define @t385 () (@var "V_nat_H" $$unsorted)) % 2.22/2.44 (define @t386 () (tptp.c_Suc @t385)) % 2.22/2.44 (define @t387 () (@list @t385)) % 2.22/2.44 (define @t388 () (tptp.c_Suc @t17)) % 2.22/2.44 (define @t389 () (tptp.c_HOL_Oplus__class_Oplus @t186 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t390 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t70 tptp.tc_nat)) % 2.22/2.44 (define @t391 () (tptp.c_HOL_Oord__class_Oless @t186 @t70 tptp.tc_nat)) % 2.22/2.44 (define @t392 () (tptp.tc_fun @t1 @t78)) % 2.22/2.44 (define @t393 () (@var "V_g" $$unsorted)) % 2.22/2.44 (define @t394 () (tptp.c_HOL_Oord__class_Oless @t79 @t393 @t392)) % 2.22/2.44 (define @t395 () (not @t394)) % 2.22/2.44 (define @t396 () (tptp.c_lessequals @t79 @t393 @t392)) % 2.22/2.44 (define @t397 () (not (tptp.class_HOL_Oord @t78))) % 2.22/2.44 (define @t398 () (@list @t78 @t79 @t393 @t1)) % 2.22/2.44 (define @t399 () (not @t396)) % 2.22/2.44 (define @t400 () (tptp.c_lessequals @t393 @t79 @t392)) % 2.22/2.44 (define @t401 () (= @t39 @t38)) % 2.22/2.44 (define @t402 () (not (tptp.c_lessequals @t38 @t42 @t37))) % 2.22/2.44 (define @t403 () (@list @t79 @t39 @t1 @t78 @t38)) % 2.22/2.44 (define @t404 () (tptp.c_lessequals @t39 @t42 @t37)) % 2.22/2.44 (define @t405 () (not @t404)) % 2.22/2.44 (define @t406 () (@var "V_D" $$unsorted)) % 2.22/2.44 (define @t407 () (tptp.c_Set_Oimage @t79 @t38 @t1 @t78)) % 2.22/2.44 (define @t408 () (tptp.c_Set_Oimage @t79 @t39 @t1 @t78)) % 2.22/2.44 (define @t409 () (tptp.c_lessequals @t192 @t111 tptp.tc_nat)) % 2.22/2.44 (define @t410 () (not (tptp.c_lessequals @t87 @t96 tptp.tc_nat))) % 2.22/2.44 (define @t411 () (tptp.c_lessequals @t20 @t22 tptp.tc_nat)) % 2.22/2.44 (define @t412 () (@list @t20 @t22)) % 2.22/2.44 (define @t413 () (not (tptp.c_lessequals @t190 @t14 tptp.tc_nat))) % 2.22/2.44 (define @t414 () (tptp.c_lessequals @t20 @t23 tptp.tc_nat)) % 2.22/2.44 (define @t415 () (@list @t14 @t87)) % 2.22/2.44 (define @t416 () (tptp.c_HOL_Ominus__class_Ominus @t109 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t417 () (tptp.c_HOL_Ominus__class_Ominus @t109 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t418 () (@list @t109 @t14 @t16)) % 2.22/2.44 (define @t419 () (tptp.hBOOL (tptp.hAPP @t169 @t20))) % 2.22/2.44 (define @t420 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t87 @t96 tptp.tc_nat) @t13 tptp.tc_nat)) % 2.22/2.44 (define @t421 () (not @t311)) % 2.22/2.44 (define @t422 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t263 tptp.tc_nat)) % 2.22/2.44 (define @t423 () (tptp.c_HOL_Ominus__class_Ominus @t97 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t424 () (tptp.c_HOL_Oplus__class_Oplus @t263 @t87 tptp.tc_nat)) % 2.22/2.44 (define @t425 () (tptp.c_HOL_Ominus__class_Ominus @t262 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t87 tptp.tc_nat)) % 2.22/2.44 (define @t427 () (tptp.c_lessequals @t14 @t16 tptp.tc_nat)) % 2.22/2.44 (define @t428 () (not @t427)) % 2.22/2.44 (define @t429 () (not (tptp.c_lessequals @t13 @t16 tptp.tc_nat))) % 2.22/2.44 (define @t430 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t431 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t13 tptp.tc_nat)) % 2.22/2.44 (define @t432 () (tptp.c_HOL_Oord__class_Oless @t431 @t430 tptp.tc_nat)) % 2.22/2.44 (define @t433 () (tptp.c_Finite__Set_Ocard @t408 @t78)) % 2.22/2.44 (define @t434 () (= @t433 @t298)) % 2.22/2.44 (define @t435 () (@list @t79 @t39 @t1 @t78)) % 2.22/2.44 (define @t436 () (= @t314 (tptp.c_HOL_Ominus__class_Ominus @t151 @t227 @t78))) % 2.22/2.44 (define @t437 () (tptp.c_Finite__Set_Ocard @t287 @t1)) % 2.22/2.44 (define @t438 () (@list @t39 @t20 @t1)) % 2.22/2.44 (define @t439 () (tptp.c_in @t5 @t38 @t1)) % 2.22/2.44 (define @t440 () (tptp.c_Finite__Set_Ocard @t82 @t1)) % 2.22/2.44 (define @t441 () (@var "V_pn" $$unsorted)) % 2.22/2.44 (define @t442 () (tptp.c_Option_Othe (tptp.c_Com_Obody @t441) tptp.tc_Com_Ocom)) % 2.22/2.44 (define @t443 () (tptp.c_Finite__Set_Olinorder__class_OMin @t39 @t1)) % 2.22/2.44 (define @t444 () (tptp.c_Finite__Set_Olinorder__class_OMax @t39 @t1)) % 2.22/2.44 (define @t445 () (@list @t20 @t39 @t1)) % 2.22/2.44 (define @t446 () (@var "T_aa" $$unsorted)) % 2.22/2.44 (define @t447 () (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 @t79 @t1)) % 2.22/2.44 (define @t448 () (@var "V_n_H" $$unsorted)) % 2.22/2.44 (define @t449 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t39 @t38 @t79 @t1 @t78)) % 2.22/2.44 (define @t450 () (tptp.c_lessequals @t408 @t38 @t85)) % 2.22/2.44 (define @t451 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t39 @t38 @t79 @t78 @t1)) % 2.22/2.44 (define @t452 () (tptp.c_lessequals @t338 @t38 @t37)) % 2.22/2.44 (define @t453 () (tptp.c_Set_Oimage @t393 @t243 @t1 @t78)) % 2.22/2.44 (define @t454 () (tptp.c_lessequals @t287 @t38 @t37)) % 2.22/2.44 (define @t455 () (not @t454)) % 2.22/2.44 (define @t456 () (tptp.c_lessequals @t39 @t281 @t37)) % 2.22/2.44 (define @t457 () (= @t39 @t154)) % 2.22/2.44 (define @t458 () (tptp.c_Set_Oimage @t79 @t39 @t1 @t1)) % 2.22/2.44 (define @t459 () (tptp.c_Fun_Oinj__on @t79 @t39 @t1 @t1)) % 2.22/2.44 (define @t460 () (@list @t79 @t39 @t1)) % 2.22/2.44 (define @t461 () (not (tptp.c_lessequals @t38 @t338 @t37))) % 2.22/2.44 (define @t462 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t39 @t38 @t79 @t78 @t1)) % 2.22/2.44 (define @t463 () (@list @t39 @t38 @t79 @t78 @t1)) % 2.22/2.44 (define @t464 () (tptp.c_Suc @t96)) % 2.22/2.44 (define @t465 () (tptp.c_Suc @t263)) % 2.22/2.44 (define @t466 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 2.22/2.44 (define @t467 () (tptp.c_Orderings_Obot__class_Obot @t466)) % 2.22/2.44 (define @t468 () (@var "V_G" $$unsorted)) % 2.22/2.44 (define @t469 () (tptp.hAPP tptp.v_mgt__call @t441)) % 2.22/2.44 (define @t470 () (tptp.hAPP tptp.v_P @t468)) % 2.22/2.44 (define @t471 () (@var "V_N" $$unsorted)) % 2.22/2.44 (define @t472 () (@var "V_M" $$unsorted)) % 2.22/2.44 (define @t473 () (not (tptp.c_lessequals @t472 @t471 @t37))) % 2.22/2.44 (define @t474 () (= @t472 @t285)) % 2.22/2.44 (define @t475 () (not (tptp.c_Finite__Set_Ofinite @t471 @t1))) % 2.22/2.44 (define @t476 () (not @t456)) % 2.22/2.44 (define @t477 () (tptp.c_Finite__Set_Ocard @t226 @t1)) % 2.22/2.44 (define @t478 () (tptp.c_Set_Oinsert @t20 @t226 @t1)) % 2.22/2.44 (define @t479 () (tptp.c_in @t20 @t226 @t1)) % 2.22/2.44 (define @t480 () (@list @t20 @t226 @t1)) % 2.22/2.44 (define @t481 () (not @t450)) % 2.22/2.44 (define @t482 () (tptp.c_Finite__Set_Ofinite @t38 @t78)) % 2.22/2.44 (define @t483 () (not @t482)) % 2.22/2.44 (define @t484 () (tptp.c_Finite__Set_Ocard @t38 @t78)) % 2.22/2.44 (define @t485 () (tptp.c_Suc @t437)) % 2.22/2.44 (define @t486 () (tptp.c_Finite__Set_Ocard @t305 @t1)) % 2.22/2.44 (define @t487 () (not (tptp.v_wt @t2))) % 2.22/2.44 (define @t488 () (tptp.v_sko__local__Xassms__3__1 @t468 tptp.v_P tptp.v_U tptp.v_mgt__call)) % 2.22/2.44 (define @t489 () (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Set_Oinsert (tptp.v_mgt @t2) @t467 tptp.t_a)))) % 2.22/2.44 (define @t490 () (@list @t468 @t2)) % 2.22/2.44 (define @t491 () (@list @t20 @t38 @t1 @t39)) % 2.22/2.44 (define @t492 () (@var "V_t" $$unsorted)) % 2.22/2.44 (define @t493 () (not (tptp.c_lessequals @t169 @t181 @t37))) % 2.22/2.44 (define @t494 () (not @t419)) % 2.22/2.44 (define @t495 () (tptp.hBOOL (tptp.hAPP @t181 @t20))) % 2.22/2.44 (define @t496 () (@list @t181 @t20 @t169 @t1)) % 2.22/2.44 (define @t497 () (tptp.c_Set_Oinsert @t3 @t38 @t1)) % 2.22/2.44 (define @t498 () (tptp.c_in @t5 (tptp.c_Set_Oinsert @t3 @t39 @t1) @t1)) % 2.22/2.44 (define @t499 () (tptp.c_lessequals @t368 @t369 @t1)) % 2.22/2.44 (define @t500 () (@list @t20 @t39 @t78 @t79 @t1)) % 2.22/2.44 (define @t501 () (tptp.c_lessequals @t70 @t186 tptp.tc_nat)) % 2.22/2.44 (define @t502 () (tptp.c_lessequals @t305 @t38 @t37)) % 2.22/2.44 (define @t503 () (tptp.c_lessequals @t16 @t70 tptp.tc_nat)) % 2.22/2.44 (define @t504 () (tptp.c_in @t20 @t285 @t1)) % 2.22/2.44 (define @t505 () (not @t504)) % 2.22/2.44 (define @t506 () (@list @t169 @t20 @t1)) % 2.22/2.44 (define @t507 () (= @t3 @t173)) % 2.22/2.44 (define @t508 () (tptp.c_Set_Oinsert @t3 @t285 @t1)) % 2.22/2.44 (define @t509 () (not (= (tptp.c_Set_Oinsert @t5 @t508 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t173 @t285 @t1) @t1)))) % 2.22/2.44 (define @t510 () (@list @t5 @t3 @t1 @t2 @t173)) % 2.22/2.44 (define @t511 () (= @t5 @t173)) % 2.22/2.44 (define @t512 () (= @t5 @t2)) % 2.22/2.44 (define @t513 () (@var "V_h" $$unsorted)) % 2.22/2.44 (define @t514 () (@var "V_nat" $$unsorted)) % 2.22/2.44 (define @t515 () (tptp.c_Finite__Set_Ofinite @t325 @t1)) % 2.22/2.44 (define @t516 () (tptp.c_HOL_Ominus__class_Ominus @t186 @t14 tptp.tc_nat)) % 2.22/2.44 (define @t517 () (tptp.c_Set_Oinsert @t22 @t39 @t1)) % 2.22/2.44 (define @t518 () (tptp.hBOOL (tptp.hAPP @t517 @t20))) % 2.22/2.44 (define @t519 () (tptp.hBOOL (tptp.hAPP @t39 @t20))) % 2.22/2.44 (define @t520 () (forall @t161 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t1) @t20 @t1)))) % 2.22/2.44 (define @t521 () (not @t502)) % 2.22/2.44 (define @t522 () (not (tptp.c_in @t20 @t39 @t78))) % 2.22/2.44 (define @t523 () (@var "V_S" $$unsorted)) % 2.22/2.44 (define @t524 () (tptp.hBOOL (tptp.hAPP @t523 @t20))) % 2.22/2.44 (define @t525 () (tptp.c_in @t20 @t523 @t1)) % 2.22/2.44 (define @t526 () (tptp.c_lessequals @t431 @t430 tptp.tc_nat)) % 2.22/2.44 (define @t527 () (tptp.c_Set_Oimage @t79 @t154 @t78 @t1)) % 2.22/2.44 (define @t528 () (@list @t79 @t20 @t39 @t1 @t78)) % 2.22/2.44 (define @t529 () (@var "V_ts" $$unsorted)) % 2.22/2.44 (define @t530 () (tptp.c_in @t223 @t338 @t1)) % 2.22/2.44 (define @t531 () (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a)) % 2.22/2.44 (define @t532 () (tptp.c_Finite__Set_Ocard @t531 tptp.t_a)) % 2.22/2.44 (define @t533 () (tptp.c_Suc tptp.v_na)) % 2.22/2.44 (define @t534 () (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) % 2.22/2.44 (define @t535 () (tptp.c_in @t534 tptp.v_G tptp.t_a)) % 2.22/2.44 (define @t536 () (tptp.c_Set_Oinsert @t534 @t467 tptp.t_a)) % 2.22/2.44 (define @t537 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_G) @t536))) % 2.22/2.44 (define @t538 () (@var "T_1" $$unsorted)) % 2.22/2.44 (define @t539 () (@var "T_2" $$unsorted)) % 2.22/2.44 (define @t540 () (tptp.tc_fun @t539 @t538)) % 2.22/2.44 (define @t541 () (@list @t539 @t538)) % 2.22/2.44 (define @t542 () (tptp.class_Orderings_Obot tptp.tc_bool)) % 2.22/2.44 (define @t543 () (@var "V_Y" $$unsorted)) % 2.22/2.44 (define @t544 () (tptp.c_lessequals @t536 tptp.v_G @t466)) % 2.22/2.44 (define @t545 () (not @t544)) % 2.22/2.44 (define @t546 () (or @t537 @t545)) % 2.22/2.44 (define @t547 () (@list true false)) % 2.22/2.44 (define @t548 () (not @t535)) % 2.22/2.44 (define @t549 () (tptp.c_lessequals @t467 tptp.v_G @t466)) % 2.22/2.44 (define @t550 () (not @t549)) % 2.22/2.44 (define @t551 () (or @t544 @t550 @t548)) % 2.22/2.44 (define @t552 () (not @t542)) % 2.22/2.44 (define @t553 () (tptp.class_Orderings_Obot @t466)) % 2.22/2.44 (define @t554 () (or @t553 @t552)) % 2.22/2.44 (define @t555 () (not @t553)) % 2.22/2.44 (define @t556 () (or @t555 @t549)) % 2.22/2.44 (define @t557 () (not @t556)) % 2.22/2.44 (assume @p1 (forall @t10 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t9))) % 2.22/2.44 (assume @p2 (forall @t10 (or @t12 (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t3 @t11 @t1))))) % 2.22/2.44 (assume @p3 (forall @t10 (or @t12 @t9))) % 2.22/2.44 (assume @p4 (forall @t18 (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t13 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t16 @t15 tptp.tc_nat)))) % 2.22/2.44 (assume @p5 (forall @t24 (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t23 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t22 @t21 tptp.tc_nat)))) % 2.22/2.44 (assume @p6 (forall @t28 (or @t27 (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t22 @t25 @t1))))) % 2.22/2.44 (assume @p7 (forall @t28 (or @t30 (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t29 @t19 @t1))))) % 2.22/2.44 (assume @p8 (forall @t36 (or @t35 @t34 @t33 @t32))) % 2.22/2.44 (assume @p9 (forall @t45 (or @t44 @t43 @t41))) % 2.22/2.44 (assume @p10 (forall @t51 (or @t50 @t49 @t48 @t47))) % 2.22/2.44 (assume @p11 (forall @t57 (or @t56 (tptp.c_lessequals @t52 @t7 @t1) @t55 @t54))) % 2.22/2.44 (assume @p12 (forall @t60 (or @t56 @t59 @t59 @t58))) % 2.22/2.44 (assume @p13 (= (tptp.c_HOL_Oplus__class_Oplus @t61 @t61 tptp.tc_nat) @t61)) % 2.22/2.44 (assume @p14 (forall @t60 (or @t62 @t58))) % 2.22/2.44 (assume @p15 (forall @t65 (or @t62 @t64 @t54))) % 2.22/2.44 (assume @p16 (forall @t65 (or @t62 @t53 (not @t64)))) % 2.22/2.44 (assume @p17 (forall @t68 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t14 @t66 tptp.tc_nat))))) % 2.22/2.44 (assume @p18 (forall @t68 (= @t70 (tptp.c_HOL_Oplus__class_Oplus @t14 @t69 tptp.tc_nat)))) % 2.22/2.44 (assume @p19 (forall @t68 (= @t70 (tptp.c_HOL_Oplus__class_Oplus @t69 @t14 tptp.tc_nat)))) % 2.22/2.44 (assume @p20 (= @t71 @t66)) % 2.22/2.44 (assume @p21 (forall @t77 (or @t76 @t12 @t75 @t74 @t73))) % 2.22/2.44 (assume @p22 (forall (@list @t79 @t39 @t38 @t1 @t78) (or (tptp.c_Fun_Oinj__on @t79 @t82 @t1 @t78) @t81))) % 2.22/2.44 (assume @p23 (forall (@list @t79 @t39 @t38 @t78 @t1) (= (tptp.c_Set_Ovimage @t79 @t86 @t1 @t78) (tptp.c_HOL_Ominus__class_Ominus @t84 @t83 @t37)))) % 2.22/2.44 (assume @p24 (forall @t88 (tptp.c_HOL_Oord__class_Oless @t87 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t87 @t16 tptp.tc_nat)) tptp.tc_nat))) % 2.22/2.44 (assume @p25 (forall @t88 (tptp.c_HOL_Oord__class_Oless @t87 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t16 @t87 tptp.tc_nat)) tptp.tc_nat))) % 2.22/2.44 (assume @p26 (forall @t90 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.c_Suc @t89) tptp.tc_nat))) % 2.22/2.44 (assume @p27 (forall (@list @t1 @t78 @t39) (or @t12 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBK @t52 @t1 @t78) @t39 @t78 @t1) @t52)))) % 2.22/2.44 (assume @p28 (forall @t77 (or @t76 @t12 @t91 @t74 @t54))) % 2.22/2.44 (assume @p29 (forall @t77 (or @t76 @t12 @t91 @t92 (not (tptp.c_lessequals @t52 @t2 @t1))))) % 2.22/2.44 (assume @p30 (forall @t24 (or @t95 @t94))) % 2.22/2.44 (assume @p31 (forall @t24 (or @t95 (not (tptp.c_HOL_Oord__class_Oless @t20 @t19 tptp.tc_nat))))) % 2.22/2.44 (assume @p32 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t87 @t13 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t97 @t13 tptp.tc_nat))))) % 2.22/2.44 (assume @p33 (forall @t101 (or (tptp.c_HOL_Oord__class_Oless @t87 @t100 tptp.tc_nat) @t99))) % 2.22/2.44 (assume @p34 (forall @t103 (or (tptp.c_HOL_Oord__class_Oless @t87 @t102 tptp.tc_nat) @t99))) % 2.22/2.44 (assume @p35 (forall (@list @t1 @t5 @t2) (or @t30 (= @t11 @t104)))) % 2.22/2.44 (assume @p36 (forall @t57 (or @t12 (= @t7 @t105)))) % 2.22/2.44 (assume @p37 (forall @t107 (= @t17 @t106))) % 2.22/2.44 (assume @p38 (forall (@list @t16 @t109 @t13 @t14) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t109 tptp.tc_nat) @t111)) @t110 @t108))) % 2.22/2.44 (assume @p39 (forall @t112 (or @t30 (= @t29 (tptp.c_HOL_Oplus__class_Oplus @t22 @t20 @t1))))) % 2.22/2.44 (assume @p40 (forall @t116 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t115 @t114)) @t113))) % 2.22/2.44 (assume @p41 (forall (@list @t1 @t20 @t5) (or @t119 @t118 (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t5 @t1))) @t117))) % 2.22/2.44 (assume @p42 (forall @t107 (or (not (= @t17 @t16)) @t67))) % 2.22/2.44 (assume @p43 (forall (@list @t20 @t5) (or (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t5 tptp.tc_nat))) (= @t5 @t61)))) % 2.22/2.44 (assume @p44 (forall @t112 (or @t56 @t122 @t121 @t120 (= @t22 @t52)))) % 2.22/2.44 (assume @p45 (forall @t112 (or @t56 @t122 @t121 @t120 (= @t20 @t52)))) % 2.22/2.44 (assume @p46 (forall @t107 (or @t124 @t123))) % 2.22/2.44 (assume @p47 (forall @t107 (or @t124 @t67))) % 2.22/2.44 (assume @p48 (forall @t65 (or @t62 (not (= @t63 @t52)) @t117))) % 2.22/2.44 (assume @p49 (= @t69 @t66)) % 2.22/2.44 (assume @p50 (forall @t131 (or (= (tptp.hAPP (tptp.hAPP @t125 @t130) @t2) @t129) @t126))) % 2.22/2.44 (assume @p51 (forall @t131 (or (= @t129 (tptp.hAPP @t127 (tptp.hAPP @t128 @t2))) @t126))) % 2.22/2.44 (assume @p52 (forall (@list @t125 @t5 @t3 @t1) (or (= @t130 (tptp.hAPP @t127 @t5)) @t126))) % 2.22/2.44 (assume @p53 (tptp.c_HOL_Oord__class_Oless @t61 @t66 tptp.tc_nat)) % 2.22/2.44 (assume @p54 (forall @t65 (or @t62 @t134 @t133))) % 2.22/2.44 (assume @p55 (forall @t65 (or @t62 @t132 @t135))) % 2.22/2.44 (assume @p56 (forall @t65 (or @t136 @t132 @t135))) % 2.22/2.44 (assume @p57 (forall @t65 (or @t136 @t134 @t133))) % 2.22/2.44 (assume @p58 (forall @t107 (or @t139 @t138 @t137))) % 2.22/2.44 (assume @p59 (forall @t107 (or @t139 @t123 @t67))) % 2.22/2.44 (assume @p60 (forall @t60 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t140 @t52 @t1))))) % 2.22/2.44 (assume @p61 (forall @t60 (or @t142 (not (= @t140 @t52))))) % 2.22/2.44 (assume @p62 (forall @t57 (or @t56 @t146 @t145 @t144))) % 2.22/2.44 (assume @p63 (forall @t57 (or @t56 @t146 @t147 @t133))) % 2.22/2.44 (assume @p64 (forall @t149 (or @t12 (= (tptp.c_Finite__Set_Osetsum @t79 @t39 @t78 @t1) @t52) @t148))) % 2.22/2.44 (assume @p65 (forall (@list @t78 @t79 @t39 @t1) (or @t152 (= @t151 (tptp.c_HOL_Ozero__class_Ozero @t78)) @t150))) % 2.22/2.44 (assume @p66 (forall @t60 (or @t141 (tptp.c_lessequals @t52 @t140 @t1)))) % 2.22/2.44 (assume @p67 (forall @t107 (or (= @t17 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t153 @t14 tptp.tc_nat))) @t123))) % 2.22/2.44 (assume @p68 (forall @t155 (or @t12 (= (tptp.c_Finite__Set_Osetsum @t79 @t154 @t78 @t1) @t52)))) % 2.22/2.44 (assume @p69 (= @t66 @t71)) % 2.22/2.44 (assume @p70 (forall @t156 (not (tptp.c_HOL_Oord__class_Oless @t20 @t20 @t37)))) % 2.22/2.44 (assume @p71 (forall @t158 (not @t157))) % 2.22/2.44 (assume @p72 (forall @t68 (not (tptp.c_HOL_Oord__class_Oless @t14 @t14 tptp.tc_nat)))) % 2.22/2.44 (assume @p73 (forall @t161 (or @t35 @t160))) % 2.22/2.44 (assume @p74 (forall @t161 (or @t162 @t160))) % 2.22/2.44 (assume @p75 (forall @t161 (or @t50 @t160))) % 2.22/2.44 (assume @p76 (forall @t57 (or @t56 @t164 @t163 @t73))) % 2.22/2.44 (assume @p77 (forall @t60 (or @t141 (not (tptp.c_lessequals @t140 @t52 @t1))))) % 2.22/2.44 (assume @p78 (forall @t166 (or @t136 @t31 @t46 @t165))) % 2.22/2.44 (assume @p79 (forall @t112 (or @t162 @t165 @t31 @t46))) % 2.22/2.44 (assume @p80 (forall @t168 (or @t167 @t108 @t113))) % 2.22/2.44 (assume @p81 (forall (@list @t169 @t14 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t14) @t16)) @t167 @t113 @t108))) % 2.22/2.44 (assume @p82 (forall (@list @t22 @t20) (or (tptp.c_HOL_Oord__class_Oless @t22 @t20 tptp.tc_nat) @t93 @t165))) % 2.22/2.44 (assume @p83 (forall @t166 (or @t162 @t31 @t46 @t165))) % 2.22/2.44 (assume @p84 (forall @t166 (or @t162 @t31 @t165 @t46))) % 2.22/2.44 (assume @p85 (forall @t112 (or @t162 @t165 @t46 @t31))) % 2.22/2.44 (assume @p86 (forall @t68 (or (= @t172 @t14) @t171))) % 2.22/2.44 (assume @p87 (forall @t176 (or @t30 (= @t175 (tptp.c_HOL_Oplus__class_Oplus @t11 @t173 @t1))))) % 2.22/2.44 (assume @p88 (forall @t10 (or @t30 (= @t8 (tptp.c_HOL_Oplus__class_Oplus @t11 @t3 @t1))))) % 2.22/2.44 (assume @p89 (forall @t176 (or @t30 (= @t175 (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Oplus__class_Oplus @t5 @t173 @t1) @t1))))) % 2.22/2.44 (assume @p90 (forall @t10 (or @t30 @t9))) % 2.22/2.44 (assume @p91 (forall @t168 (or @t170 @t178 (not @t177)))) % 2.22/2.44 (assume @p92 (forall @t179 (not (tptp.c_HOL_Oord__class_Oless @t16 @t61 tptp.tc_nat)))) % 2.22/2.44 (assume @p93 (forall @t68 (not (tptp.c_HOL_Oord__class_Oless @t14 @t61 tptp.tc_nat)))) % 2.22/2.44 (assume @p94 (forall (@list @t1 @t20 @t22 @t19 @t180) (or @t27 (not (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t22 @t180 @t1))) (= @t25 @t180)))) % 2.22/2.44 (assume @p95 (forall (@list @t169 @t1 @t78 @t181) (= (tptp.hAPP (tptp.c_COMBK @t169 @t1 @t78) @t181) @t169))) % 2.22/2.44 (assume @p96 (forall @t182 (= (tptp.c_HOL_Ominus__class_Ominus @t82 @t38 @t37) @t82))) % 2.22/2.44 (assume @p97 (= @t66 @t183)) % 2.22/2.44 (assume @p98 (forall @t77 (or @t76 @t12 @t75 @t184 @t54))) % 2.22/2.44 (assume @p99 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t106 tptp.tc_nat) @t61))) % 2.22/2.44 (assume @p100 (forall @t60 (or @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t69 @t1) @t140)))) % 2.22/2.44 (assume @p101 (forall @t60 (or @t142 (not (= @t52 @t140))))) % 2.22/2.44 (assume @p102 (forall @t107 (or @t139 @t138 @t67))) % 2.22/2.44 (assume @p103 (forall @t107 (or @t139 @t123 @t137))) % 2.22/2.44 (assume @p104 (forall @t187 (or @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t186 @t1) (tptp.c_HOL_Oplus__class_Oplus @t140 @t115 @t1))))) % 2.22/2.44 (assume @p105 (forall @t68 (tptp.c_HOL_Oord__class_Oless @t61 @t70 tptp.tc_nat))) % 2.22/2.44 (assume @p106 (forall @t158 (tptp.c_HOL_Oord__class_Oless @t61 @t188 tptp.tc_nat))) % 2.22/2.44 (assume @p107 (forall @t60 (or @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t61 @t1) @t52)))) % 2.22/2.44 (assume @p108 (forall @t57 (or @t56 @t146 @t145 @t133))) % 2.22/2.44 (assume @p109 (forall @t57 (or @t56 @t164 @t163 @t54))) % 2.22/2.44 (assume @p110 (forall @t57 (or @t56 @t164 @t55 @t73))) % 2.22/2.44 (assume @p111 (forall @t24 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t22 tptp.tc_nat) @t21)) @t189))) % 2.22/2.44 (assume @p112 (forall @t191 (or (not (= @t190 @t15)) @t113))) % 2.22/2.44 (assume @p113 (forall @t193 (or (not (= @t192 @t111)) @t113))) % 2.22/2.44 (assume @p114 (forall @t28 (or @t119 @t118 (not (= @t29 @t25)) @t189))) % 2.22/2.44 (assume @p115 (forall @t10 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t195 @t194))) % 2.22/2.44 (assume @p116 (forall @t10 (or @t196 @t195 @t194))) % 2.22/2.44 (assume @p117 (forall @t77 (or @t196 (not (= @t105 @t104)) @t194))) % 2.22/2.44 (assume @p118 (forall @t107 (or @t197 @t138 @t67))) % 2.22/2.44 (assume @p119 (forall @t107 (or @t197 @t123 @t137))) % 2.22/2.44 (assume @p120 (forall (@list @t1 @t5 @t3 @t2 @t173) (or @t30 (= (tptp.c_HOL_Oplus__class_Oplus @t7 @t174 @t1) (tptp.c_HOL_Oplus__class_Oplus @t11 @t198 @t1))))) % 2.22/2.44 (assume @p121 (forall @t187 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t115 @t52 @t1))))) % 2.22/2.44 (assume @p122 (forall @t60 (or @t141 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Oplus__class_Oplus @t140 @t140 @t1) @t1)))) % 2.22/2.44 (assume @p123 (forall @t199 (or @t141 (tptp.c_lessequals @t52 @t114 @t1)))) % 2.22/2.44 (assume @p124 (forall @t187 (or @t141 (tptp.c_lessequals @t52 @t115 @t1)))) % 2.22/2.44 (assume @p125 (forall @t161 (or @t30 (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t20 @t1) @t20)))) % 2.22/2.44 (assume @p126 (forall @t65 (or @t12 @t200))) % 2.22/2.44 (assume @p127 (forall @t158 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t61 tptp.tc_nat)))) % 2.22/2.44 (assume @p128 (forall @t68 (= (tptp.c_HOL_Oplus__class_Oplus @t61 @t14 tptp.tc_nat) @t14))) % 2.22/2.44 (assume @p129 (forall @t179 (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t61 tptp.tc_nat) @t16))) % 2.22/2.44 (assume @p130 (forall @t161 (or @t119 @t118 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t52 @t1))))) % 2.22/2.44 (assume @p131 (forall @t65 (or @t12 @t201))) % 2.22/2.44 (assume @p132 (forall @t65 (or @t202 @t200))) % 2.22/2.44 (assume @p133 (forall @t65 (or @t202 @t201))) % 2.22/2.44 (assume @p134 (forall @t65 (or @t30 @t201))) % 2.22/2.44 (assume @p135 (forall @t65 (or @t30 @t200))) % 2.22/2.44 (assume @p136 (forall @t208 (or @t207 @t206 @t205 @t204))) % 2.22/2.44 (assume @p137 (forall @t208 (or @t207 @t206 @t211 @t210))) % 2.22/2.44 (assume @p138 (forall @t107 (or @t177 @t171))) % 2.22/2.44 (assume @p139 (forall @t107 (or @t177 @t212))) % 2.22/2.44 (assume @p140 (forall @t65 (or @t62 @t72 (not @t213)))) % 2.22/2.44 (assume @p141 (forall @t65 (or @t62 @t213 @t73))) % 2.22/2.44 (assume @p142 (forall @t217 (or (not @t216) @t215))) % 2.22/2.44 (assume @p143 (forall (@list @t2 @t39 @t1 @t38) (or @t218 @t215))) % 2.22/2.44 (assume @p144 (forall @t217 (or @t216 @t219 @t41))) % 2.22/2.44 (assume @p145 (forall @t225 (or @t224 @t222 @t221 @t165 @t81))) % 2.22/2.44 (assume @p146 (forall @t225 (or @t224 @t222 @t221 @t81 @t165))) % 2.22/2.44 (assume @p147 (forall (@list @t79 @t20 @t226 @t39 @t1 @t78) (or (not (= @t223 (tptp.hAPP @t79 @t226))) (not (tptp.c_in @t226 @t39 @t1)) @t221 @t81 (= @t20 @t226)))) % 2.22/2.44 (assume @p148 (forall @t225 (or @t224 @t81 @t165 @t222 @t221))) % 2.22/2.44 (assume @p149 (forall (@list @t2 @t39 @t38 @t1) (or @t214 @t216 @t219))) % 2.22/2.44 (assume @p150 (forall (@list @t5 @t79 @t38 @t1 @t78) (or @t229 (not @t228)))) % 2.22/2.44 (assume @p151 (forall (@list @t5 @t79 @t39 @t78 @t1) (or (tptp.c_in @t5 @t230 @t78) (not (tptp.c_in @t227 @t39 @t1))))) % 2.22/2.44 (assume @p152 (forall (@list @t5 @t79 @t38 @t78 @t1) (or (tptp.c_in @t5 @t231 @t78) (not (tptp.c_in @t227 @t38 @t1))))) % 2.22/2.44 (assume @p153 (forall @t232 (or @t228 (not @t229)))) % 2.22/2.44 (assume @p154 (forall (@list @t79 @t5 @t39 @t78 @t1) (or (tptp.c_in @t227 @t39 @t78) (not (tptp.c_in @t5 @t84 @t1))))) % 2.22/2.44 (assume @p155 (forall @t112 (or @t162 @t165 @t46 @t234))) % 2.22/2.44 (assume @p156 (forall @t112 (or @t162 @t165 @t234 @t46))) % 2.22/2.44 (assume @p157 (forall @t57 (or @t35 @t209 @t204 @t235))) % 2.22/2.44 (assume @p158 (forall @t57 (or @t35 @t209 @t235 @t204))) % 2.22/2.44 (assume @p159 (forall @t112 (or @t35 @t46 @t165 @t234))) % 2.22/2.44 (assume @p160 (forall @t112 (or @t35 @t165 @t46 @t234))) % 2.22/2.44 (assume @p161 (forall @t237 (or @t35 @t236 @t92 @t235))) % 2.22/2.44 (assume @p162 (forall @t237 (or @t35 @t236 @t235 @t92))) % 2.22/2.44 (assume @p163 (forall (@list @t1 @t5 @t3 @t173 @t2) (or @t238 (tptp.c_lessequals @t5 @t198 @t1) @t211 (not (tptp.c_lessequals @t5 @t4 @t1))))) % 2.22/2.44 (assume @p164 (forall @t51 (or @t50 @t49 @t239 @t47))) % 2.22/2.44 (assume @p165 (forall @t51 (or @t50 @t49 @t48 @t234))) % 2.22/2.44 (assume @p166 (forall @t36 (or @t35 @t34 @t33 @t241))) % 2.22/2.44 (assume @p167 (forall @t36 (or @t35 @t34 @t242 @t32))) % 2.22/2.44 (assume @p168 (forall (@list @t1 @t243 @t79) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1)) (tptp.c_lessequals @t243 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t1) @t1) (not (tptp.c_lessequals @t243 @t244 @t1))))) % 2.22/2.44 (assume @p169 (forall @t248 (or @t247 @t246 @t204))) % 2.22/2.44 (assume @p170 (forall @t250 (or @t247 @t249 @t204))) % 2.22/2.44 (assume @p171 (forall @t10 (or @t76 @t203 (not @t246)))) % 2.22/2.44 (assume @p172 (forall @t248 (or @t76 @t246 @t204))) % 2.22/2.44 (assume @p173 (forall @t10 (or @t76 @t203 (not @t249)))) % 2.22/2.44 (assume @p174 (forall @t250 (or @t76 @t249 @t204))) % 2.22/2.44 (assume @p175 (forall @t112 (or @t50 @t233 @t47))) % 2.22/2.44 (assume @p176 (forall @t112 (or @t35 @t233 @t47))) % 2.22/2.44 (assume @p177 (forall @t112 (or @t50 @t46 @t240 @t234))) % 2.22/2.44 (assume @p178 (forall @t208 (or @t247 (tptp.c_lessequals @t11 @t198 @t1) @t211 @t204))) % 2.22/2.44 (assume @p179 (forall @t112 (or @t162 @t46 @t240))) % 2.22/2.44 (assume @p180 (forall @t161 (or @t162 (not @t251) @t160))) % 2.22/2.44 (assume @p181 (forall @t161 (or @t162 @t159 @t251))) % 2.22/2.44 (assume @p182 (forall @t112 (or @t162 @t47 @t241))) % 2.22/2.44 (assume @p183 (forall @t166 (or @t162 @t240 @t46))) % 2.22/2.44 (assume @p184 (forall @t112 (or @t162 @t234 @t32))) % 2.22/2.44 (assume @p185 (forall @t166 (or @t162 @t31 @t233))) % 2.22/2.44 (assume @p186 (forall @t68 (or (= @t14 @t172) @t171))) % 2.22/2.44 (assume @p187 (forall @t208 (or @t207 @t206 @t205 @t210))) % 2.22/2.44 (assume @p188 (forall @t254 (or (tptp.c_HOL_Oord__class_Oless @t253 @t252 tptp.tc_nat) @t110 @t99))) % 2.22/2.44 (assume @p189 (forall @t57 (or @t238 @t209 (not @t256)))) % 2.22/2.44 (assume @p190 (forall @t57 (or @t238 @t256 @t210))) % 2.22/2.44 (assume @p191 (forall @t116 (or @t141 @t258 @t257))) % 2.22/2.44 (assume @p192 (forall @t116 (or @t141 @t108 (not @t258)))) % 2.22/2.44 (assume @p193 (forall @t60 (or @t141 (tptp.c_HOL_Oord__class_Oless @t52 @t140 @t1)))) % 2.22/2.44 (assume @p194 (forall @t65 (or @t141 (tptp.c_HOL_Oord__class_Oless @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t140 @t1) @t1)))) % 2.22/2.44 (assume @p195 (forall @t199 (or @t141 @t259 @t171))) % 2.22/2.44 (assume @p196 (forall @t199 (or @t141 @t170 (not @t259)))) % 2.22/2.44 (assume @p197 (forall @t68 (or @t170 @t67))) % 2.22/2.44 (assume @p198 (not (tptp.c_HOL_Oord__class_Oless @t61 @t61 tptp.tc_nat))) % 2.22/2.44 (assume @p199 (forall @t77 (or @t141 @t75 @t184 @t73))) % 2.22/2.44 (assume @p200 (forall @t65 (or @t62 @t260 @t144))) % 2.22/2.44 (assume @p201 (forall @t65 (or @t62 @t143 (not @t260)))) % 2.22/2.44 (assume @p202 (forall @t261 (not (tptp.c_HOL_Oord__class_Oless @t97 @t87 tptp.tc_nat)))) % 2.22/2.44 (assume @p203 (forall (@list @t96 @t87) (not (tptp.c_HOL_Oord__class_Oless @t262 @t87 tptp.tc_nat)))) % 2.22/2.44 (assume @p204 (forall @t98 (or @t265 (not @t264)))) % 2.22/2.44 (assume @p205 (forall @t266 (or @t264 (not @t265)))) % 2.22/2.44 (assume @p206 (forall @t250 (or @t207 @t267 @t210))) % 2.22/2.44 (assume @p207 (forall @t250 (or @t76 @t267 @t210))) % 2.22/2.44 (assume @p208 (forall @t10 (or @t76 @t209 (not @t267)))) % 2.22/2.44 (assume @p209 (forall @t248 (or @t207 @t268 @t210))) % 2.22/2.44 (assume @p210 (forall @t248 (or @t76 @t268 @t210))) % 2.22/2.44 (assume @p211 (forall @t10 (or @t76 @t209 (not @t268)))) % 2.22/2.44 (assume @p212 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t253 @t269 tptp.tc_nat) @t99))) % 2.22/2.44 (assume @p213 (forall @t18 (or @t108 (not @t270)))) % 2.22/2.44 (assume @p214 (forall @t193 (or @t270 @t257))) % 2.22/2.44 (assume @p215 (forall @t57 (or @t56 (tptp.c_lessequals @t7 @t52 @t1) @t147 @t144))) % 2.22/2.44 (assume @p216 (forall (@list @t169 @t5 @t3) (or (tptp.hBOOL (tptp.hAPP @t169 @t61)) @t271 (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 tptp.tc_nat))))))) % 2.22/2.44 (assume @p217 (= @t183 @t66)) % 2.22/2.44 (assume @p218 (forall @t107 (or @t108 (not @t273)))) % 2.22/2.44 (assume @p219 (forall @t168 (or @t273 @t257))) % 2.22/2.44 (assume @p220 (forall (@list @t39 @t79 @t20 @t1 @t78) (or @t275 (not @t274)))) % 2.22/2.44 (assume @p221 (forall (@list @t79 @t39 @t1 @t78 @t20) (or @t274 (not @t275)))) % 2.22/2.44 (assume @p222 (forall @t116 (or @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17 @t1) (tptp.c_HOL_Oplus__class_Oplus @t115 @t114 @t1))))) % 2.22/2.44 (assume @p223 (forall @t107 (or (tptp.c_HOL_Oord__class_Oless @t276 @t16 tptp.tc_nat) @t212 @t171))) % 2.22/2.44 (assume @p224 (forall @t168 (or @t277 @t108))) % 2.22/2.44 (assume @p225 (forall @t107 (or @t197 @t138 @t137))) % 2.22/2.44 (assume @p226 (forall @t107 (or @t197 @t123 @t67))) % 2.22/2.44 (assume @p227 (forall @t57 (or @t35 @t210 @t278))) % 2.22/2.44 (assume @p228 (forall @t112 (or @t162 @t47 @t32))) % 2.22/2.44 (assume @p229 (forall @t166 (or @t50 @t32 @t47))) % 2.22/2.44 (assume @p230 (forall @t237 (or @t50 @t278 @t210))) % 2.22/2.44 (assume @p231 (forall (@list @t78 @t79 @t5 @t279 @t1) (or @t152 (= (tptp.c_Finite__Set_Osetsum @t79 (tptp.c_Set_Oinsert @t5 @t279 @t1) @t1 @t78) (tptp.c_HOL_Oplus__class_Oplus @t227 (tptp.c_Finite__Set_Osetsum @t79 @t279 @t1 @t78) @t78)) (tptp.c_in @t5 @t279 @t1) @t280))) % 2.22/2.44 (assume @p232 (forall @t289 (or @t288 @t221 @t284 @t283))) % 2.22/2.44 (assume @p233 (forall @t291 (or @t282 @t221 @t290 @t284))) % 2.22/2.44 (assume @p234 (forall @t291 (or @t282 @t221 @t290 @t41))) % 2.22/2.44 (assume @p235 (forall (@list @t78 @t79 @t39 @t38 @t1) (or @t294 (= (tptp.c_Finite__Set_Osetsum @t79 @t82 @t1 @t78) (tptp.c_HOL_Ominus__class_Ominus @t151 (tptp.c_Finite__Set_Osetsum @t79 @t38 @t1 @t78) @t78)) @t293 @t292))) % 2.22/2.44 (assume @p236 (forall @t291 (or @t282 @t296 @t290 @t41))) % 2.22/2.44 (assume @p237 (forall @t300 (or @t299 @t292 @t297))) % 2.22/2.44 (assume @p238 (forall @t182 (or @t40 (not @t303) @t296 @t301))) % 2.22/2.44 (assume @p239 (forall @t57 (or @t238 @t203 (not @t304)))) % 2.22/2.44 (assume @p240 (forall @t57 (or @t238 @t304 @t204))) % 2.22/2.44 (assume @p241 (forall @t307 (or (= @t306 (tptp.c_Set_Oinsert @t20 @t82 @t1)) @t284))) % 2.22/2.44 (assume @p242 (forall @t307 (or (= @t306 @t82) @t308))) % 2.22/2.44 (assume @p243 (forall @t309 (or @t40 @t308 @t283))) % 2.22/2.44 (assume @p244 (forall @t291 (or @t282 @t308 @t41))) % 2.22/2.44 (assume @p245 (forall (@list @t5 @t79 @t1 @t243) (or (tptp.c_in @t5 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t37) @t1) (not (tptp.c_lessequals @t243 @t244 @t37)) @t310))) % 2.22/2.44 (assume @p246 (forall @t315 (or @t294 (= @t314 @t151) @t311 @t292))) % 2.22/2.44 (assume @p247 (forall @t321 (or @t320 (not (tptp.c_in @t319 @t318 @t1)) @t317 @t316 @t280))) % 2.22/2.44 (assume @p248 (forall @t116 (or @t141 @t324 @t323))) % 2.22/2.44 (assume @p249 (forall @t116 (or @t141 @t322 (not @t324)))) % 2.22/2.44 (assume @p250 (forall @t291 (or @t282 @t296 @t290 @t284))) % 2.22/2.44 (assume @p251 (forall @t329 (or (not @t328) @t327))) % 2.22/2.44 (assume @p252 (forall @t329 (or @t326 @t328 @t81))) % 2.22/2.44 (assume @p253 (forall (@list @t39 @t38 @t1 @t5) (or @t333 (not @t332)))) % 2.22/2.44 (assume @p254 (forall @t335 (or @t332 @t334))) % 2.22/2.44 (assume @p255 (forall @t337 (= @t336 @t325))) % 2.22/2.44 (assume @p256 (forall @t65 (or @t162 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t312 @t1) @t5)))) % 2.22/2.44 (assume @p257 (forall @t335 (= @t331 (tptp.c_HOL_Ominus__class_Ominus @t82 @t312 @t37)))) % 2.22/2.44 (assume @p258 (forall @t335 (= @t331 (tptp.c_HOL_Ominus__class_Ominus @t313 @t38 @t37)))) % 2.22/2.44 (assume @p259 (forall @t65 (or @t162 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t312 @t1) @t5)))) % 2.22/2.44 (assume @p260 (forall @t321 (or @t320 (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_Set_Oinsert @t319 @t318 @t1)))) @t317 @t316 @t280))) % 2.22/2.44 (assume @p261 (forall (@list @t39 @t78 @t79 @t1) (or @t148 (not (tptp.c_Fun_Oinj__on @t79 @t39 @t78 @t1)) (not (tptp.c_Finite__Set_Ofinite @t338 @t1))))) % 2.22/2.44 (assume @p262 (forall (@list @t2 @t1 @t78) (= (tptp.c_Set_Oimage @t339 @t154 @t78 @t1) @t285))) % 2.22/2.44 (assume @p263 (forall @t158 (or (not @t341) @t340))) % 2.22/2.44 (assume @p264 (forall @t107 (or @t322 @t343))) % 2.22/2.44 (assume @p265 (forall @t107 (or @t342 @t323))) % 2.22/2.44 (assume @p266 (forall @t107 (or @t344 @t257))) % 2.22/2.44 (assume @p267 (forall @t107 (or @t108 @t345))) % 2.22/2.44 (assume @p268 (forall @t168 (or @t346 (not @t167)))) % 2.22/2.44 (assume @p269 (forall @t168 (or @t167 @t347))) % 2.22/2.44 (assume @p270 (forall @t168 (or @t350 @t349 @t323))) % 2.22/2.44 (assume @p271 (forall @t352 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t338 @t351 @t37) (tptp.c_Set_Oimage @t79 @t86 @t78 @t1) @t37))) % 2.22/2.44 (assume @p272 (forall @t353 (tptp.c_lessequals (tptp.c_Set_Oimage @t79 @t230 @t78 @t1) @t39 @t37))) % 2.22/2.44 (assume @p273 (forall @t300 (or @t354 @t150))) % 2.22/2.44 (assume @p274 (forall @t60 (= @t355 @t61))) % 2.22/2.44 (assume @p275 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t70 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t153 @t14 tptp.tc_nat)))) % 2.22/2.44 (assume @p276 (forall @t107 (tptp.c_HOL_Oord__class_Oless @t276 @t186 tptp.tc_nat))) % 2.22/2.44 (assume @p277 (forall @t68 (= (tptp.c_HOL_Ominus__class_Ominus @t70 @t69 tptp.tc_nat) @t14))) % 2.22/2.44 (assume @p278 (forall @t18 (or (tptp.c_lessequals @t16 (tptp.c_HOL_Ominus__class_Ominus @t106 @t13 tptp.tc_nat) tptp.tc_nat) @t357))) % 2.22/2.44 (assume @p279 (forall (@list @t5 @t2 @t3) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t5 @t2 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t2 @t5 tptp.tc_nat)) @t271))) % 2.22/2.44 (assume @p280 (forall @t107 (or @t359 @t322))) % 2.22/2.44 (assume @p281 (forall @t107 (or @t358 @t323))) % 2.22/2.44 (assume @p282 (forall @t98 (or @t362 (not @t361) @t360))) % 2.22/2.44 (assume @p283 (forall @t266 (or @t361 (not @t362) @t360))) % 2.22/2.44 (assume @p284 (forall @t365 (or @t364 (not @t363)))) % 2.22/2.44 (assume @p285 (forall @t366 (or @t363 (not @t364)))) % 2.22/2.44 (assume @p286 (forall @t166 (or @t50 @t241 @t47))) % 2.22/2.44 (assume @p287 (forall (@list @t2 @t78 @t1 @t39) (or (= (tptp.c_Set_Ovimage @t367 @t39 @t1 @t78) @t285) (tptp.c_in @t2 @t39 @t78)))) % 2.22/2.44 (assume @p288 (forall @t374 (or @t238 @t373 @t46 (not @t370)))) % 2.22/2.44 (assume @p289 (forall @t374 (or @t238 @t373 @t370 @t47))) % 2.22/2.44 (assume @p290 (forall @t161 (or @t119 @t118 @t376))) % 2.22/2.44 (assume @p291 (forall @t65 (or @t377 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1) @t52)))) % 2.22/2.44 (assume @p292 (forall @t65 (or @t377 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t52 @t1) @t5)))) % 2.22/2.44 (assume @p293 (forall @t161 (or @t377 @t376))) % 2.22/2.44 (assume @p294 (forall @t161 (or @t27 @t376))) % 2.22/2.44 (assume @p295 (forall @t57 (or @t377 (= (tptp.c_HOL_Oplus__class_Oplus @t255 @t3 @t1) @t5)))) % 2.22/2.44 (assume @p296 (forall @t112 (or @t119 @t118 (not (= @t372 @t52)) @t165))) % 2.22/2.44 (assume @p297 (forall @t57 (or @t377 @t378 @t235))) % 2.22/2.44 (assume @p298 (forall @t57 (or @t27 @t378 @t235))) % 2.22/2.44 (assume @p299 (forall @t57 (or @t377 (= (tptp.c_HOL_Ominus__class_Ominus @t7 @t3 @t1) @t5)))) % 2.22/2.44 (assume @p300 (forall @t182 (or @t333 @t292 @t301))) % 2.22/2.44 (assume @p301 (forall @t379 (or @t150 @t334 @t301))) % 2.22/2.44 (assume @p302 (forall @t182 (or @t333 @t292))) % 2.22/2.44 (assume @p303 (forall @t380 (= (tptp.c_Set_Ovimage @t79 @t154 @t1 @t78) @t285))) % 2.22/2.44 (assume @p304 (forall @t381 (= (tptp.c_HOL_Ominus__class_Ominus @t285 @t39 @t37) @t285))) % 2.22/2.44 (assume @p305 (forall @t300 (not (tptp.c_HOL_Oord__class_Oless @t39 @t285 @t37)))) % 2.22/2.44 (assume @p306 (forall @t300 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t39 @t37) @t285))) % 2.22/2.44 (assume @p307 (forall @t300 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t285 @t37) @t39))) % 2.22/2.44 (assume @p308 (forall (@list @t79 @t1 @t78) (tptp.c_Fun_Oinj__on @t79 @t285 @t1 @t78))) % 2.22/2.44 (assume @p309 (forall @t107 (or @t342 @t257))) % 2.22/2.44 (assume @p310 (forall @t107 (or @t108 (not @t382)))) % 2.22/2.44 (assume @p311 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t384 @t13 tptp.tc_nat) @t383 @t99))) % 2.22/2.44 (assume @p312 (forall @t158 @t340)) % 2.22/2.44 (assume @p313 (forall @t68 (tptp.c_HOL_Oord__class_Oless @t14 @t70 tptp.tc_nat))) % 2.22/2.44 (assume @p314 (forall @t179 (not (= @t186 @t61)))) % 2.22/2.44 (assume @p315 (forall @t387 (not (= @t386 @t61)))) % 2.22/2.44 (assume @p316 (forall @t168 (or @t350 @t349 @t167))) % 2.22/2.44 (assume @p317 (forall @t107 (or @t113 @t349 @t167))) % 2.22/2.44 (assume @p318 (forall @t107 (or @t113 @t108 @t343))) % 2.22/2.44 (assume @p319 (forall @t179 (not (= @t61 @t186)))) % 2.22/2.44 (assume @p320 (forall @t387 (not (= @t61 @t386)))) % 2.22/2.44 (assume @p321 (forall @t107 (= @t389 @t388))) % 2.22/2.44 (assume @p322 (forall @t107 (= @t390 @t388))) % 2.22/2.44 (assume @p323 (forall @t107 (= @t389 @t390))) % 2.22/2.44 (assume @p324 (forall @t107 (or @t382 (= @t186 @t14) @t257))) % 2.22/2.44 (assume @p325 (forall @t158 (or @t157 @t340))) % 2.22/2.44 (assume @p326 (forall @t107 (or @t257 @t349))) % 2.22/2.44 (assume @p327 (forall @t168 (or @t348 @t108))) % 2.22/2.44 (assume @p328 (forall (@list @t20 @t14) (or (tptp.c_HOL_Oord__class_Oless @t188 @t70 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t20 @t14 tptp.tc_nat))))) % 2.22/2.44 (assume @p329 (forall @t107 (or @t108 (not @t391)))) % 2.22/2.44 (assume @p330 (forall @t107 (or @t391 @t257))) % 2.22/2.44 (assume @p331 (forall (@list @t79 @t39 @t1 @t78 @t5) (or @t80 @t327))) % 2.22/2.44 (assume @p332 (forall @t398 (or @t397 @t396 @t395))) % 2.22/2.44 (assume @p333 (forall @t398 (or @t397 @t394 @t400 @t399))) % 2.22/2.44 (assume @p334 (forall (@list @t78 @t393 @t79 @t1) (or @t397 (not @t400) @t395))) % 2.22/2.44 (assume @p335 (forall @t182 (or @t401 @t40 @t296))) % 2.22/2.44 (assume @p336 (forall @t182 (or @t40 @t401 @t296))) % 2.22/2.44 (assume @p337 (forall (@list @t38 @t42 @t39 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t38 (tptp.c_HOL_Ominus__class_Ominus @t42 @t39 @t37) @t37) @t39) @t402 @t296))) % 2.22/2.44 (assume @p338 (forall @t45 (or @t44 @t43 @t296))) % 2.22/2.44 (assume @p339 (forall @t45 (or @t44 @t402 @t41))) % 2.22/2.44 (assume @p340 (forall @t403 (or @t80 @t296 (not (tptp.c_Fun_Oinj__on @t79 @t38 @t1 @t78))))) % 2.22/2.44 (assume @p341 (forall @t182 (or @t295 @t41))) % 2.22/2.44 (assume @p342 (forall (@list @t39 @t38 @t1 @t42 @t406) (or (tptp.c_lessequals @t82 (tptp.c_HOL_Ominus__class_Ominus @t42 @t406 @t37) @t37) (not (tptp.c_lessequals @t406 @t38 @t37)) @t405))) % 2.22/2.44 (assume @p343 (forall @t182 (tptp.c_lessequals @t82 @t39 @t37))) % 2.22/2.44 (assume @p344 (forall @t352 (or (tptp.c_lessequals @t230 @t231 @t85) @t296))) % 2.22/2.44 (assume @p345 (forall (@list @t79 @t39 @t38 @t1 @t78 @t42) (or (= (tptp.c_Set_Oimage @t79 @t82 @t1 @t78) (tptp.c_HOL_Ominus__class_Ominus @t408 @t407 @t85)) @t402 @t405 (not (tptp.c_Fun_Oinj__on @t79 @t42 @t1 @t78))))) % 2.22/2.44 (assume @p346 (forall @t379 (or @t303 @t41 @t301))) % 2.22/2.44 (assume @p347 (forall @t300 (or @t150 (not @t299)))) % 2.22/2.44 (assume @p348 (forall @t60 (not (tptp.c_HOL_Oord__class_Oless @t61 @t355 tptp.tc_nat)))) % 2.22/2.44 (assume @p349 (forall @t107 (or @t108 @t113 @t323))) % 2.22/2.44 (assume @p350 (forall @t107 (or @t113 @t108 @t323))) % 2.22/2.44 (assume @p351 (tptp.c_lessequals @t61 @t61 tptp.tc_nat)) % 2.22/2.44 (assume @p352 (forall @t193 (or @t409 @t323))) % 2.22/2.44 (assume @p353 (forall @t18 (or @t322 (not @t409)))) % 2.22/2.44 (assume @p354 (forall @t98 (or (tptp.c_lessequals @t253 @t269 tptp.tc_nat) @t410))) % 2.22/2.44 (assume @p355 (forall @t107 (or @t322 @t257))) % 2.22/2.44 (assume @p356 (forall @t412 (or @t411 @t94))) % 2.22/2.44 (assume @p357 (forall @t90 (tptp.c_lessequals @t16 @t89 tptp.tc_nat))) % 2.22/2.44 (assume @p358 (forall @t168 (tptp.c_lessequals @t14 @t17 tptp.tc_nat))) % 2.22/2.44 (assume @p359 (forall @t168 (tptp.c_lessequals @t14 @t106 tptp.tc_nat))) % 2.22/2.44 (assume @p360 (forall @t68 (or @t67 (not (tptp.c_lessequals @t14 @t61 tptp.tc_nat))))) % 2.22/2.44 (assume @p361 (forall @t254 (or (tptp.c_lessequals @t253 @t252 tptp.tc_nat) (not (tptp.c_lessequals @t13 @t109 tptp.tc_nat)) @t410))) % 2.22/2.44 (assume @p362 (forall @t103 (or (tptp.c_lessequals @t87 @t102 tptp.tc_nat) @t410))) % 2.22/2.44 (assume @p363 (forall @t101 (or (tptp.c_lessequals @t87 @t100 tptp.tc_nat) @t410))) % 2.22/2.44 (assume @p364 (forall (@list @t13 @t14 @t16) (or @t356 @t413))) % 2.22/2.44 (assume @p365 (forall @t18 (or @t322 @t413))) % 2.22/2.44 (assume @p366 (forall @t24 (or @t414 (not (tptp.c_lessequals @t20 @t19 tptp.tc_nat))))) % 2.22/2.44 (assume @p367 (forall @t24 (or @t414 (not @t411)))) % 2.22/2.44 (assume @p368 (forall @t68 (tptp.c_lessequals @t61 @t14 tptp.tc_nat))) % 2.22/2.44 (assume @p369 (forall @t415 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t14 @t384 tptp.tc_nat) @t14 tptp.tc_nat) @t171))) % 2.22/2.44 (assume @p370 (forall @t68 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t66 tptp.tc_nat)) @t14) @t171))) % 2.22/2.44 (assume @p371 (forall @t168 (or (not (= @t272 @t61)) @t359 @t113))) % 2.22/2.44 (assume @p372 (forall (@list @t96 @t14 @t13) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t96 @t14 tptp.tc_nat) @t13 tptp.tc_nat) @t383))) % 2.22/2.44 (assume @p373 (forall @t179 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t61 tptp.tc_nat) @t16))) % 2.22/2.44 (assume @p374 (forall @t179 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 tptp.tc_nat) @t61))) % 2.22/2.44 (assume @p375 (forall @t418 (or (tptp.c_HOL_Oord__class_Oless @t417 @t416 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t16 @t109 tptp.tc_nat)) @t257))) % 2.22/2.44 (assume @p376 (forall (@list @t169 @t3 @t20) (or (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t3 @t20 tptp.tc_nat) @t3 tptp.tc_nat)))) @t419))) % 2.22/2.44 (assume @p377 (forall (@list @t169 @t3 @t173) (or (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t3 @t173 tptp.tc_nat) @t3 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t169 @t173))))) % 2.22/2.44 (assume @p378 (forall @t266 (= @t420 (tptp.c_HOL_Ominus__class_Ominus @t87 @t269 tptp.tc_nat)))) % 2.22/2.44 (assume @p379 (forall @t68 (= (tptp.c_HOL_Ominus__class_Ominus @t61 @t14 tptp.tc_nat) @t61))) % 2.22/2.44 (assume @p380 (forall @t191 (= (tptp.c_HOL_Ominus__class_Ominus @t190 @t15 tptp.tc_nat) @t276))) % 2.22/2.44 (assume @p381 (forall @t193 (= (tptp.c_HOL_Ominus__class_Ominus @t192 @t111 tptp.tc_nat) @t276))) % 2.22/2.44 (assume @p382 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t14 tptp.tc_nat) @t16))) % 2.22/2.44 (assume @p383 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t106 @t14 tptp.tc_nat) @t16))) % 2.22/2.44 (assume @p384 (forall (@list @t78 @t79 @t39 @t1 @t5) (or @t152 (= @t151 (tptp.c_HOL_Oplus__class_Oplus @t227 @t314 @t78)) @t421 @t292))) % 2.22/2.44 (assume @p385 (forall @t266 (or (= @t423 @t422) @t360))) % 2.22/2.44 (assume @p386 (forall @t365 (or (= @t425 @t424) @t360))) % 2.22/2.44 (assume @p387 (forall @t266 (or (= (tptp.c_HOL_Ominus__class_Ominus @t87 @t263 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t253 @t96 tptp.tc_nat)) @t360))) % 2.22/2.44 (assume @p388 (forall (@list @t87 @t13) (or (not (tptp.c_lessequals @t87 @t426 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t426 @t87 tptp.tc_nat) @t13)))) % 2.22/2.44 (assume @p389 (forall @t261 (or @t410 (= @t96 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t96 @t87 tptp.tc_nat) @t87 tptp.tc_nat))))) % 2.22/2.44 (assume @p390 (forall @t168 (or @t277 @t428))) % 2.22/2.44 (assume @p391 (forall @t107 (or (= (tptp.c_HOL_Oplus__class_Oplus @t276 @t14 tptp.tc_nat) @t16) @t428))) % 2.22/2.44 (assume @p392 (forall @t266 (or (= @t422 @t423) @t360))) % 2.22/2.44 (assume @p393 (forall @t366 (or (= @t424 @t425) @t360))) % 2.22/2.44 (assume @p394 (forall @t18 (or @t108 (not @t432) @t357 @t429))) % 2.22/2.44 (assume @p395 (forall @t191 (or @t432 @t257 @t357 @t429))) % 2.22/2.44 (assume @p396 (forall @t435 (or @t434 @t81))) % 2.22/2.44 (assume @p397 (forall @t315 (or @t294 @t436 @t421 @t292))) % 2.22/2.44 (assume @p398 (forall @t315 (or (not (tptp.class_Ring__and__Field_Oring @t78)) @t436 @t421 @t292))) % 2.22/2.44 (assume @p399 (forall (@list @t39 @t20 @t1 @t22) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t287 (tptp.c_Set_Oinsert @t22 @t285 @t1) @t37) @t1) @t298 tptp.tc_nat) @t222 @t221 @t292))) % 2.22/2.44 (assume @p400 (forall @t438 (or (tptp.c_HOL_Oord__class_Oless @t437 @t298 tptp.tc_nat) @t221 @t292))) % 2.22/2.44 (assume @p401 (forall @t335 (or (= (tptp.c_Finite__Set_Ocard @t331 @t1) (tptp.c_HOL_Ominus__class_Ominus @t440 @t69 tptp.tc_nat)) @t439 @t421 @t292))) % 2.22/2.44 (assume @p402 (forall (@list @t441) (or (tptp.v_wt @t442) (not (tptp.c_in @t441 tptp.v_U tptp.tc_Com_Opname))))) % 2.22/2.44 (assume @p403 (forall (@list @t1 @t39 @t20) (or @t162 (tptp.c_lessequals @t443 @t20 @t1) @t221 @t292))) % 2.22/2.44 (assume @p404 (forall (@list @t1 @t20 @t39) (or @t162 (tptp.c_lessequals @t20 @t444 @t1) @t221 @t292))) % 2.22/2.44 (assume @p405 (forall @t381 (or @t162 (tptp.c_in @t444 @t39 @t1) @t297 @t292))) % 2.22/2.44 (assume @p406 (forall @t381 (or @t162 (tptp.c_in @t443 @t39 @t1) @t297 @t292))) % 2.22/2.44 (assume @p407 (forall @t445 (or (= (tptp.c_HOL_Ominus__class_Ominus @t305 @t286 @t37) @t39) @t220))) % 2.22/2.44 (assume @p408 (forall (@list @t20 @t226 @t78 @t125 @t1) (or (not (= (tptp.c_Set_Oinsert @t20 @t226 @t78) @t154)) (tptp.c_in @t20 @t226 @t78) @t126))) % 2.22/2.44 (assume @p409 (forall (@list @t5 @t79 @t1 @t446) (tptp.c_in @t5 (tptp.c_Set_Ovimage @t79 (tptp.c_Set_Oinsert @t227 @t285 @t1) @t446 @t1) @t446))) % 2.22/2.44 (assume @p410 (forall (@list @t79 @t5 @t3 @t78 @t1) (or (= @t227 @t3) (not (tptp.c_in @t5 (tptp.c_Set_Ovimage @t79 (tptp.c_Set_Oinsert @t3 @t154 @t78) @t1 @t78) @t1))))) % 2.22/2.44 (assume @p411 (forall @t337 (or (= @t336 @t39) @t421))) % 2.22/2.44 (assume @p412 (forall @t309 (or @t295 @t220 @t284 @t283))) % 2.22/2.44 (assume @p413 (forall @t291 (or @t282 @t296 @t220 @t284))) % 2.22/2.44 (assume @p414 (forall @t291 (or @t282 @t296 @t220 @t41))) % 2.22/2.44 (assume @p415 (forall (@list @t1 @t79 @t14 @t448) (or @t35 (tptp.c_lessequals (tptp.hAPP @t79 @t14) (tptp.hAPP @t79 @t448) @t1) (not (tptp.c_lessequals @t14 @t448 tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t79 @t447) (tptp.hAPP @t79 (tptp.c_Suc @t447)) @t1))))) % 2.22/2.44 (assume @p416 (forall @t321 (or @t320 (tptp.hBOOL (tptp.hAPP @t169 @t318)) @t317 @t316 @t280))) % 2.22/2.44 (assume @p417 (forall @t321 (or @t320 (tptp.c_Finite__Set_Ofinite @t318 @t1) @t317 @t316 @t280))) % 2.22/2.44 (assume @p418 (forall @t403 (or @t450 (tptp.c_in @t449 @t39 @t1)))) % 2.22/2.44 (assume @p419 (forall @t352 (or @t452 (not (tptp.c_in (tptp.hAPP @t79 @t451) @t38 @t1))))) % 2.22/2.44 (assume @p420 (forall @t352 (or @t452 (tptp.c_in @t451 @t39 @t78)))) % 2.22/2.44 (assume @p421 (forall (@list @t393 @t5 @t79 @t78 @t243 @t1) (or (tptp.c_in (tptp.hAPP @t393 @t5) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t85) @t78) (not (tptp.c_lessequals @t453 (tptp.hAPP @t79 @t453) @t85)) @t310))) % 2.22/2.44 (assume @p422 (forall @t403 (or @t450 (not (tptp.c_in (tptp.hAPP @t79 @t449) @t38 @t78))))) % 2.22/2.44 (assume @p423 (forall @t291 (or @t456 @t296 @t455))) % 2.22/2.44 (assume @p424 (forall @t438 (or (= @t437 (tptp.c_HOL_Ominus__class_Ominus @t298 @t69 tptp.tc_nat)) @t221 @t292))) % 2.22/2.44 (assume @p425 (forall (@list @t2 @t1 @t78 @t39) (or (= (tptp.c_Set_Oimage @t339 @t39 @t78 @t1) (tptp.c_Set_Oinsert @t2 @t285 @t1)) @t457))) % 2.22/2.44 (assume @p426 (forall @t460 (or @t459 (not (tptp.c_lessequals @t39 @t458 @t37)) @t292))) % 2.22/2.44 (assume @p427 (forall (@list @t38 @t79 @t39 @t78 @t1) (or (= @t38 (tptp.c_Set_Oimage @t79 @t462 @t78 @t1)) @t461 @t301))) % 2.22/2.44 (assume @p428 (forall @t463 (or (tptp.c_Finite__Set_Ofinite @t462 @t78) @t461 @t301))) % 2.22/2.44 (assume @p429 (forall @t460 (or (= @t458 @t39) (not @t459) (not (tptp.c_lessequals @t458 @t39 @t37)) @t292))) % 2.22/2.44 (assume @p430 (forall @t463 (or (tptp.c_lessequals @t462 @t39 @t85) @t461 @t301))) % 2.22/2.44 (assume @p431 (forall @t300 (or (not @t354) @t292 @t297))) % 2.22/2.44 (assume @p432 (forall @t116 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t276 @t1) (tptp.c_HOL_Ominus__class_Ominus @t115 @t114 @t1)) @t428))) % 2.22/2.44 (assume @p433 (forall @t435 (or (not @t434) @t292 @t80))) % 2.22/2.44 (assume @p434 (forall @t435 (or @t434 @t81 @t292))) % 2.22/2.44 (assume @p435 (forall (@list @t96 @t13 @t16) (or (= (tptp.c_HOL_Ominus__class_Ominus @t465 @t16 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t464 @t192 tptp.tc_nat)) @t360))) % 2.22/2.44 (assume @p436 (forall (@list @t16 @t96 @t13) (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t465 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t190 @t464 tptp.tc_nat)) @t360))) % 2.22/2.44 (assume @p437 (forall (@list @t468 @t441) (or (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Set_Oinsert @t469 @t467 tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.c_Set_Oinsert @t469 @t468 tptp.t_a)) (tptp.c_Set_Oinsert (tptp.v_mgt @t442) @t467 tptp.t_a))))))) % 2.22/2.44 (assume @p438 (forall @t321 (or @t320 (tptp.c_in @t319 @t39 @t1) @t317 @t316 @t280))) % 2.22/2.44 (assume @p439 (forall (@list @t1 @t472 @t471) (or @t162 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t472 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t471 @t1) @t1) @t475 @t474 @t473))) % 2.22/2.44 (assume @p440 (forall (@list @t1 @t471 @t472) (or @t162 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t471 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t472 @t1) @t1) @t475 @t474 @t473))) % 2.22/2.44 (assume @p441 (forall @t289 (or @t454 @t221 @t476))) % 2.22/2.44 (assume @p442 (forall @t291 (or @t456 @t221 @t455))) % 2.22/2.44 (assume @p443 (forall (@list @t2 @t78 @t1 @t39 @t20) (or (= (tptp.c_Set_Oimage @t367 @t39 @t1 @t78) (tptp.c_Set_Oinsert @t2 @t154 @t78)) @t221))) % 2.22/2.44 (assume @p444 (forall @t480 (or @t479 (= (tptp.c_Finite__Set_Ocard @t478 @t1) (tptp.c_Suc @t477)) (= @t477 @t61)))) % 2.22/2.44 (assume @p445 (forall (@list @t39 @t1 @t38 @t78 @t393 @t79) (or (= @t298 @t484) @t483 @t292 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t393 @t38 @t78 @t1) @t39 @t37)) (not (tptp.c_Fun_Oinj__on @t393 @t38 @t78 @t1)) @t481 @t81))) % 2.22/2.44 (assume @p446 (forall @t182 (or (= @t440 (tptp.c_HOL_Ominus__class_Ominus @t298 @t302 tptp.tc_nat)) @t293 @t301))) % 2.22/2.44 (assume @p447 (forall @t438 (or (= @t437 @t298) @t220 @t292))) % 2.22/2.44 (assume @p448 (forall @t445 (or (= @t486 @t485) @t292))) % 2.22/2.44 (assume @p449 (forall @t438 (or (tptp.c_lessequals @t437 @t298 tptp.tc_nat) @t292))) % 2.22/2.44 (assume @p450 (forall (@list @t39 @t1 @t38 @t78 @t79) (or (tptp.c_lessequals @t298 @t484 tptp.tc_nat) @t483 @t481 @t81))) % 2.22/2.44 (assume @p451 (forall @t438 (or (= @t485 @t298) @t221 @t292))) % 2.22/2.44 (assume @p452 (forall @t490 (or @t489 (not (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call @t488) @t467 tptp.t_a)))) @t487))) % 2.22/2.44 (assume @p453 (forall @t490 (or @t489 (tptp.c_in @t488 tptp.v_U tptp.tc_Com_Opname) @t487))) % 2.22/2.44 (assume @p454 (forall @t491 (or @t284 @t221 @t296))) % 2.22/2.44 (assume @p455 (forall @t68 (tptp.c_lessequals @t14 @t14 tptp.tc_nat))) % 2.22/2.44 (assume @p456 (forall @t217 (or @t216 @t219 @t296))) % 2.22/2.44 (assume @p457 (forall @t98 (or (tptp.c_lessequals @t87 @t13 tptp.tc_nat) (not (tptp.c_lessequals @t96 @t13 tptp.tc_nat)) @t410))) % 2.22/2.44 (assume @p458 (forall @t158 @t341)) % 2.22/2.44 (assume @p459 (forall @t156 (tptp.c_lessequals @t20 @t20 @t37))) % 2.22/2.44 (assume @p460 (forall @t491 (or @t284 @t296 @t221))) % 2.22/2.44 (assume @p461 (forall (@list @t492 @t38 @t1 @t39) (or (tptp.c_in @t492 @t38 @t1) (not (tptp.c_in @t492 @t39 @t1)) @t296))) % 2.22/2.44 (assume @p462 (forall @t300 (tptp.c_lessequals @t39 @t39 @t37))) % 2.22/2.44 (assume @p463 (forall @t45 (or @t404 @t402 @t296))) % 2.22/2.44 (assume @p464 (forall @t496 (or @t495 @t494 @t493))) % 2.22/2.44 (assume @p465 (forall @t161 (or @t35 @t251))) % 2.22/2.44 (assume @p466 (forall @t161 (or @t50 @t251))) % 2.22/2.44 (assume @p467 (forall @t379 (or @t150 @t301 @t296))) % 2.22/2.44 (assume @p468 (forall @t496 (or @t495 @t493 @t494))) % 2.22/2.44 (assume @p469 (forall @t379 (or @t150 @t296 @t301))) % 2.22/2.44 (assume @p470 (forall (@list @t5 @t3 @t38 @t1) (or (tptp.c_in @t5 @t497 @t1) (not @t439)))) % 2.22/2.44 (assume @p471 (forall (@list @t5 @t3 @t39 @t1) (or @t498 @t421))) % 2.22/2.44 (assume @p472 (forall @t353 (or (not (= @t338 @t285)) @t457))) % 2.22/2.44 (assume @p473 (forall @t156 (tptp.c_in @t20 @t286 @t1))) % 2.22/2.44 (assume @p474 (forall @t438 (or (= @t39 @t286) @t297 (not (tptp.c_lessequals @t39 @t286 @t37))))) % 2.22/2.44 (assume @p475 (forall @t374 (or @t238 @t373 @t499 @t241))) % 2.22/2.44 (assume @p476 (forall @t374 (or @t238 @t373 @t240 (not @t499)))) % 2.22/2.44 (assume @p477 (forall @t403 (or (tptp.c_lessequals @t408 @t407 @t85) @t296))) % 2.22/2.44 (assume @p478 (forall @t500 (or (not (tptp.c_lessequals @t20 @t39 @t85)) (tptp.c_lessequals (tptp.c_Set_Oimage @t79 @t20 @t78 @t1) @t338 @t37)))) % 2.22/2.44 (assume @p479 (forall (@list @t5 @t42 @t1 @t406) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t5 @t42 @t1) (tptp.c_Set_Oinsert @t5 @t406 @t1) @t37) (not (tptp.c_lessequals @t42 @t406 @t37))))) % 2.22/2.44 (assume @p480 (forall @t168 (or @t427 (not @t501)))) % 2.22/2.44 (assume @p481 (forall @t168 (or @t501 @t428))) % 2.22/2.44 (assume @p482 (forall @t168 (or @t427 @t322))) % 2.22/2.44 (assume @p483 (forall @t166 (or @t162 @t240 @t233))) % 2.22/2.44 (assume @p484 (forall @t51 (or @t50 (tptp.c_lessequals @t20 @t19 @t1) @t239 @t234))) % 2.22/2.44 (assume @p485 (forall @t36 (or @t35 (tptp.c_lessequals @t19 @t20 @t1) @t242 @t241))) % 2.22/2.44 (assume @p486 (forall @t68 (not (= @t14 @t70)))) % 2.22/2.44 (assume @p487 (forall @t68 (not (= @t70 @t14)))) % 2.22/2.44 (assume @p488 (forall @t307 (or @t502 @t296 @t308))) % 2.22/2.44 (assume @p489 (forall @t68 (not (tptp.c_lessequals @t70 @t14 tptp.tc_nat)))) % 2.22/2.44 (assume @p490 (forall @t445 (tptp.hBOOL (tptp.hAPP @t305 @t20)))) % 2.22/2.44 (assume @p491 (forall @t107 (or @t503 @t323))) % 2.22/2.44 (assume @p492 (forall @t107 (or @t322 @t345))) % 2.22/2.44 (assume @p493 (forall @t232 (= (tptp.c_Set_Oimage @t79 (tptp.c_Set_Oinsert @t5 @t38 @t78) @t78 @t1) (tptp.c_Set_Oinsert @t227 @t351 @t1)))) % 2.22/2.44 (assume @p494 (forall @t156 @t505)) % 2.22/2.44 (assume @p495 (forall @t506 (or @t419 @t505))) % 2.22/2.44 (assume @p496 (forall (@list @t2 @t1) (not (tptp.c_in @t2 @t285 @t1)))) % 2.22/2.44 (assume @p497 (forall (@list @t5 @t1) (not (tptp.c_in @t5 @t285 @t1)))) % 2.22/2.44 (assume @p498 (forall (@list @t1 @t5 @t39) (not (= @t285 @t325)))) % 2.22/2.44 (assume @p499 (forall @t60 (tptp.c_lessequals @t285 @t285 @t37))) % 2.22/2.44 (assume @p500 (forall @t300 (or @t297 (not (tptp.c_lessequals @t39 @t285 @t37))))) % 2.22/2.44 (assume @p501 (forall @t445 (or (= @t486 @t298) @t221 @t292))) % 2.22/2.44 (assume @p502 (forall @t510 (or @t509 @t194 @t507))) % 2.22/2.44 (assume @p503 (forall @t510 (or @t509 @t511 @t507))) % 2.22/2.44 (assume @p504 (forall @t510 (or @t509 @t194 @t512))) % 2.22/2.44 (assume @p505 (forall @t510 (or @t509 @t511 @t512))) % 2.22/2.44 (assume @p506 (forall (@list @t513 @t279 @t1 @t78) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t513 @t279 @t1 @t78) @t78) @t280))) % 2.22/2.44 (assume @p507 (forall @t112 (or @t35 @t165 @t234 @t241))) % 2.22/2.44 (assume @p508 (forall @t112 (or @t35 @t165 @t241 @t234))) % 2.22/2.44 (assume @p509 (forall @t182 (or @t401 @t293 @t296))) % 2.22/2.44 (assume @p510 (forall @t107 (or @t113 @t428 @t323))) % 2.22/2.44 (assume @p511 (forall (@list @t5 @t39 @t1 @t3) (or @t311 @t235 (not @t498)))) % 2.22/2.44 (assume @p512 (forall @t161 (not (tptp.hBOOL (tptp.hAPP @t285 @t20))))) % 2.22/2.44 (assume @p513 (forall @t182 (or @t401 (not (tptp.c_lessequals @t302 @t298 tptp.tc_nat)) @t296 @t301))) % 2.22/2.44 (assume @p514 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t186 @t70 tptp.tc_nat) @t276))) % 2.22/2.44 (assume @p515 (forall (@list @t514 @t385) (or (not (= (tptp.c_Suc @t514) @t386)) (= @t514 @t385)))) % 2.22/2.44 (assume @p516 (forall @t412 (or (not (= @t188 (tptp.c_Suc @t22))) @t165))) % 2.22/2.44 (assume @p517 (forall (@list @t39 @t1 @t20) (or (tptp.c_lessequals @t298 @t486 tptp.tc_nat) @t292))) % 2.22/2.44 (assume @p518 (forall @t60 (tptp.c_Finite__Set_Ofinite @t285 @t1))) % 2.22/2.44 (assume @p519 (forall @t337 (or @t515 @t292))) % 2.22/2.44 (assume @p520 (forall (@list @t39 @t1 @t5) (or @t150 (not @t515)))) % 2.22/2.44 (assume @p521 (forall (@list @t38 @t5 @t1) (tptp.c_lessequals @t38 @t330 @t37))) % 2.22/2.44 (assume @p522 (forall @t107 (or (= @t516 (tptp.c_Suc @t276)) @t428))) % 2.22/2.44 (assume @p523 (forall (@list @t39 @t20 @t22 @t1) (or @t519 (= @t22 @t20) (not @t518)))) % 2.22/2.44 (assume @p524 (forall @t445 (= (tptp.c_Set_Oinsert @t20 @t305 @t1) @t305))) % 2.22/2.44 (assume @p525 (forall @t337 (not (= @t325 @t285)))) % 2.22/2.44 (assume @p526 @t520) % 2.22/2.44 (assume @p527 (forall @t381 (tptp.c_lessequals @t285 @t39 @t37))) % 2.22/2.44 (assume @p528 (forall @t149 (or (not (= @t285 @t338)) @t457))) % 2.22/2.44 (assume @p529 (forall (@list @t39 @t3 @t38 @t1) (or (tptp.c_lessequals @t39 @t497 @t37) @t296))) % 2.22/2.44 (assume @p530 (forall @t309 (or @t295 @t521))) % 2.22/2.44 (assume @p531 (forall (@list @t38 @t78 @t79 @t39 @t1) (or @t482 (not (tptp.c_lessequals @t38 @t408 @t85)) @t292))) % 2.22/2.44 (assume @p532 (forall (@list @t79 @t20 @t38 @t1 @t39 @t78) (or (tptp.c_in @t223 @t38 @t1) @t522 (not @t452)))) % 2.22/2.44 (assume @p533 (forall (@list @t3 @t5 @t1) (or (= @t3 @t5) (not (tptp.c_in @t3 @t312 @t1))))) % 2.22/2.44 (assume @p534 (forall @t445 (tptp.c_in @t20 @t305 @t1))) % 2.22/2.44 (assume @p535 (forall (@list @t5 @t38 @t1) (tptp.c_in @t5 @t330 @t1))) % 2.22/2.44 (assume @p536 (forall (@list @t20 @t38 @t1) (tptp.c_in @t20 @t281 @t1))) % 2.22/2.44 (assume @p537 (forall (@list @t20 @t22 @t39 @t1) (= (tptp.c_Set_Oinsert @t20 @t517 @t1) (tptp.c_Set_Oinsert @t22 @t305 @t1)))) % 2.22/2.44 (assume @p538 (forall (@list @t20 @t523 @t1) (or @t525 (not @t524)))) % 2.22/2.44 (assume @p539 (forall (@list @t523 @t20 @t1) (or @t524 (not @t525)))) % 2.22/2.44 (assume @p540 (forall @t445 (or (= @t486 (tptp.c_Suc @t298)) @t220 @t292))) % 2.22/2.44 (assume @p541 (forall @t156 (or @t504 (= (tptp.c_Finite__Set_Ocard @t286 @t1) (tptp.c_Suc @t355))))) % 2.22/2.44 (assume @p542 (forall @t418 (or (tptp.c_lessequals @t417 @t416 tptp.tc_nat) @t323))) % 2.22/2.44 (assume @p543 (forall (@list @t16 @t109 @t14) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t16 @t109 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t14 @t109 tptp.tc_nat) tptp.tc_nat) @t323))) % 2.22/2.44 (assume @p544 (forall @t191 (or @t526 @t323 @t357 @t429))) % 2.22/2.44 (assume @p545 (forall @t18 (or @t322 (not @t526) @t357 @t429))) % 2.22/2.44 (assume @p546 (forall (@list @t226 @t20 @t1) (= (tptp.c_Set_Oinsert @t226 @t286 @t1) (tptp.c_Set_Oinsert @t20 (tptp.c_Set_Oinsert @t226 @t285 @t1) @t1)))) % 2.22/2.44 (assume @p547 (forall (@list @t1 @t226 @t22 @t20) (or @t27 (not (= (tptp.c_HOL_Ominus__class_Ominus @t226 @t22 @t1) @t375)) (= @t226 @t22)))) % 2.22/2.44 (assume @p548 (forall (@list @t1 @t20 @t369 @t368) (or @t27 (not (= @t375 @t371)) (= @t369 @t368)))) % 2.22/2.44 (assume @p549 (forall @t191 (or (not (= @t431 @t430)) @t357 @t429 @t113))) % 2.22/2.44 (assume @p550 (forall @t380 (= @t527 @t285))) % 2.22/2.44 (assume @p551 (forall @t107 (tptp.c_lessequals @t276 @t16 tptp.tc_nat))) % 2.22/2.44 (assume @p552 (forall (@list @t5 @t1 @t3) (or (not (= @t312 @t508)) @t235))) % 2.22/2.44 (assume @p553 (forall @t506 (or @t494 @t505))) % 2.22/2.44 (assume @p554 (forall @t191 (or (= (tptp.c_HOL_Ominus__class_Ominus @t431 @t430 tptp.tc_nat) @t276) @t357 @t429))) % 2.22/2.44 (assume @p555 (forall @t266 (= @t420 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t87 @t13 tptp.tc_nat) @t96 tptp.tc_nat)))) % 2.22/2.44 (assume @p556 (forall @t480 (or (not (= @t478 @t285)) @t479))) % 2.22/2.44 (assume @p557 (forall @t491 (or @t284 @t521))) % 2.22/2.44 (assume @p558 (forall @t107 (or @t323 @t347))) % 2.22/2.44 (assume @p559 (forall @t168 (or @t346 @t322))) % 2.22/2.44 (assume @p560 (forall (@list @t22 @t39 @t1 @t20) (or @t518 (not @t519)))) % 2.22/2.44 (assume @p561 (forall @t528 (or (= (tptp.c_Set_Oinsert @t223 @t408 @t78) @t408) @t221))) % 2.22/2.44 (assume @p562 (forall @t291 (or @t456 @t296 @t220))) % 2.22/2.44 (assume @p563 (forall @t309 (or @t295 @t220 @t476))) % 2.22/2.44 (assume @p564 (forall @t309 (or @t295 @t476 @t220))) % 2.22/2.44 (assume @p565 (forall @t307 (or (not (= @t305 @t281)) @t284 @t220 @t401))) % 2.22/2.44 (assume @p566 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t516 (tptp.c_Suc @t13) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t276 @t13 tptp.tc_nat)))) % 2.22/2.44 (assume @p567 (forall (@list @t468 @t529) (or (tptp.hBOOL (tptp.hAPP @t470 @t529)) (not (tptp.c_lessequals @t529 @t468 @t466))))) % 2.22/2.44 (assume @p568 (forall @t337 (or (= @t325 @t39) @t421))) % 2.22/2.44 (assume @p569 (forall @t68 (tptp.c_lessequals @t70 @t70 tptp.tc_nat))) % 2.22/2.44 (assume @p570 (forall @t155 (= @t285 @t527))) % 2.22/2.44 (assume @p571 (forall @t379 (or (tptp.c_lessequals @t298 @t302 tptp.tc_nat) @t296 @t301))) % 2.22/2.44 (assume @p572 (forall @t435 (or (tptp.c_lessequals @t433 @t298 tptp.tc_nat) @t292))) % 2.22/2.44 (assume @p573 (forall @t381 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t150))) % 2.22/2.44 (assume @p574 (forall @t415 (or (= (tptp.c_HOL_Ominus__class_Ominus @t14 (tptp.c_HOL_Ominus__class_Ominus @t14 @t87 tptp.tc_nat) tptp.tc_nat) @t87) (not (tptp.c_lessequals @t87 @t14 tptp.tc_nat))))) % 2.22/2.44 (assume @p575 (forall @t107 (or (= @t16 @t70) @t322 (not @t503)))) % 2.22/2.44 (assume @p576 (forall (@list @t20 @t39 @t446 @t79 @t1) (or (not (tptp.c_in @t20 @t39 @t446)) (tptp.c_in @t223 (tptp.c_Set_Oimage @t79 @t39 @t446 @t1) @t1)))) % 2.22/2.44 (assume @p577 (forall @t500 (or @t522 @t530))) % 2.22/2.44 (assume @p578 (forall (@list @t79 @t20 @t39 @t78 @t1) (or @t530 @t522))) % 2.22/2.44 (assume @p579 (forall @t528 (or (tptp.c_in @t223 @t408 @t78) @t221))) % 2.22/2.44 (assume @p580 (forall (@list @t78 @t79 @t20 @t393 @t1) (or @t397 (tptp.c_lessequals @t223 (tptp.hAPP @t393 @t20) @t78) @t399))) % 2.22/2.44 (assume @p581 (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)) % 2.22/2.44 (assume @p582 (tptp.c_lessequals tptp.v_G @t531 @t466)) % 2.22/2.44 (assume @p583 (tptp.c_lessequals @t533 @t532 tptp.tc_nat)) % 2.22/2.44 (assume @p584 (= (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus @t532 @t533 tptp.tc_nat))) % 2.22/2.44 (assume @p585 (tptp.c_in tptp.v_pn tptp.v_U tptp.tc_Com_Opname)) % 2.22/2.44 (assume @p586 @t535) % 2.22/2.44 (assume @p587 (not @t537)) % 2.22/2.44 (assume @p588 (forall @t490 (or (not (= (tptp.c_Finite__Set_Ocard @t468 tptp.t_a) (tptp.c_HOL_Ominus__class_Ominus @t532 tptp.v_na tptp.tc_nat))) (not (tptp.c_lessequals @t468 @t531 @t466)) @t489 @t487))) % 2.22/2.44 (assume @p589 (forall @t541 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t540) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t538))))) % 2.22/2.44 (assume @p590 (forall @t541 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t540) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t538)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t539))))) % 2.22/2.44 (assume @p591 (forall @t541 (or (tptp.class_Orderings_Opreorder @t540) (not (tptp.class_Orderings_Opreorder @t538))))) % 2.22/2.44 (assume @p592 (forall @t541 (or (tptp.class_Orderings_Oorder @t540) (not (tptp.class_Orderings_Oorder @t538))))) % 2.22/2.44 (assume @p593 (forall @t541 (or (tptp.class_Orderings_Obot @t540) (not (tptp.class_Orderings_Obot @t538))))) % 2.22/2.44 (assume @p594 (forall @t541 (or (tptp.class_HOL_Oord @t540) (not (tptp.class_HOL_Oord @t538))))) % 2.22/2.44 (assume @p595 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 2.22/2.44 (assume @p596 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 2.22/2.44 (assume @p597 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 2.22/2.44 (assume @p598 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 2.22/2.44 (assume @p599 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 2.22/2.44 (assume @p600 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 2.22/2.44 (assume @p601 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 2.22/2.44 (assume @p602 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 2.22/2.44 (assume @p603 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 2.22/2.44 (assume @p604 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 2.22/2.44 (assume @p605 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 2.22/2.44 (assume @p606 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 2.22/2.44 (assume @p607 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 2.22/2.44 (assume @p608 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 2.22/2.44 (assume @p609 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 2.22/2.44 (assume @p610 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 2.22/2.44 (assume @p611 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 2.22/2.44 (assume @p612 (tptp.class_Orderings_Obot tptp.tc_nat)) % 2.22/2.44 (assume @p613 (tptp.class_HOL_Oord tptp.tc_nat)) % 2.22/2.44 (assume @p614 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 2.22/2.44 (assume @p615 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 2.22/2.44 (assume @p616 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 2.22/2.44 (assume @p617 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 2.22/2.44 (assume @p618 @t542) % 2.22/2.44 (assume @p619 (tptp.class_HOL_Oord tptp.tc_bool)) % 2.22/2.44 (assume @p620 (forall @t156 (tptp.c_fequal @t20 @t20 @t1))) % 2.22/2.44 (assume @p621 (forall (@list @t243 @t543 @t1) (or (= @t243 @t543) (not (tptp.c_fequal @t243 @t543 @t1))))) % 2.22/2.44 (step @p622 :rule instantiate :premises (@p488) :args ((@list @t534 @t467 tptp.t_a tptp.v_G))) % 2.22/2.44 (step @p623 :rule instantiate :premises (@p567) :args ((@list tptp.v_G @t536))) % 2.22/2.44 (step @p624 :rule cnf_or_pos :args (@t546)) % 2.22/2.44 (step @p625 :rule reordering :premises (@p624) :args ((or @t537 @t545 (not @t546)))) % 2.22/2.44 (step @p626 :rule chain_m_resolution :premises (@p625 @p587 @p623) :args (@t545 @t547 (@list @t537 @t546))) % 2.22/2.44 (step @p627 :rule cnf_or_pos :args (@t551)) % 2.22/2.44 (step @p628 :rule reordering :premises (@p627) :args ((or @t548 @t544 @t550 (not @t551)))) % 2.22/2.44 (step @p629 :rule chain_m_resolution :premises (@p628 @p586 @p626 @p622) :args (@t550 (@list false true false) (@list @t535 @t544 @t551))) % 2.22/2.44 (step @p630 :rule instantiate :premises (@p593) :args ((@list tptp.t_a tptp.tc_bool))) % 2.22/2.44 (step @p631 :rule cnf_or_pos :args (@t554)) % 2.22/2.44 (step @p632 :rule reordering :premises (@p631) :args ((or @t552 @t553 (not @t554)))) % 2.22/2.44 (step @p633 :rule chain_m_resolution :premises (@p632 @p618 @p630) :args (@t553 (@list false false) (@list @t542 @t554))) % 2.22/2.44 (step @p634 :rule cnf_or_pos :args (@t556)) % 2.22/2.44 (step @p635 :rule reordering :premises (@p634) :args ((or @t555 @t549 @t557))) % 2.22/2.44 (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p629) :args (@t557 (@list false true) (@list @t553 @t549))) % 2.22/2.44 (assume-push @p643 @t520) % 2.22/2.44 (step @p638 :rule instantiate :premises (@p526) :args ((@list @t466 tptp.v_G))) % 2.22/2.44 (step-pop @p644 :rule scope :premises (@p638)) % 2.22/2.44 (step @p639 :rule process_scope :premises (@p644) :args (@t556)) % 2.22/2.44 (step @p641 :rule implies_elim :premises (@p639)) % 2.22/2.44 (step @p642 false :rule chain_m_resolution :premises (@p641 @p636 @p526) :args (false @t547 (@list @t556 @t520))) % 2.22/2.44 ) % 2.22/2.45 % SZS output end Proof % 2.22/2.45 % cvc5 exiting %------------------------------------------------------------------------------