%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV881-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 2.13s 2.32s % Output : Proof 2.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV881-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:20:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.48/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.48/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.13/2.32 % SZS status Unsatisfiable % 2.13/2.32 % SZS output start Proof % 2.13/2.36 ( % 2.13/2.36 (declare-sort $$unsorted 0) % 2.13/2.36 (declare-const tptp.v_G $$unsorted) % 2.13/2.36 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.v_sko__local__Xassms__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.v_wt (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.v_U $$unsorted) % 2.13/2.36 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.v_mgt (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.v_na $$unsorted) % 2.13/2.36 (declare-const tptp.v_P $$unsorted) % 2.13/2.36 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.tc_nat $$unsorted) % 2.13/2.36 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.tc_Com_Opname $$unsorted) % 2.13/2.36 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.tc_Com_Ocom $$unsorted) % 2.13/2.36 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.tc_bool $$unsorted) % 2.13/2.36 (declare-const tptp.v_mgt__call $$unsorted) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.c_Inductive_Ocomplete__lattice__class_Ogfp (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.t_a $$unsorted) % 2.13/2.36 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.36 (declare-const tptp.v_x $$unsorted) % 2.13/2.36 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 2.13/2.36 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 2.13/2.36 (define @t1 () (@var "T_a" $$unsorted)) % 2.13/2.36 (define @t2 () (@var "V_c" $$unsorted)) % 2.13/2.36 (define @t3 () (@var "V_b" $$unsorted)) % 2.13/2.36 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1)) % 2.13/2.36 (define @t5 () (@var "V_a" $$unsorted)) % 2.13/2.36 (define @t6 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t4 @t1)) % 2.13/2.36 (define @t7 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t3 @t1)) % 2.13/2.36 (define @t8 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t2 @t1)) % 2.13/2.36 (define @t9 () (= @t8 @t6)) % 2.13/2.36 (define @t10 () (@list @t1 @t5 @t3 @t2)) % 2.13/2.36 (define @t11 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t2 @t1)) % 2.13/2.36 (define @t12 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 2.13/2.36 (define @t13 () (@var "V_k" $$unsorted)) % 2.13/2.36 (define @t14 () (@var "V_n" $$unsorted)) % 2.13/2.36 (define @t15 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t16 () (@var "V_m" $$unsorted)) % 2.13/2.36 (define @t17 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t18 () (@list @t16 @t14 @t13)) % 2.13/2.36 (define @t19 () (@var "V_z" $$unsorted)) % 2.13/2.36 (define @t20 () (@var "V_x" $$unsorted)) % 2.13/2.36 (define @t21 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 tptp.tc_nat)) % 2.13/2.36 (define @t22 () (@var "V_y" $$unsorted)) % 2.13/2.36 (define @t23 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t19 tptp.tc_nat)) % 2.13/2.36 (define @t24 () (@list @t20 @t22 @t19)) % 2.13/2.36 (define @t25 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 @t1)) % 2.13/2.36 (define @t26 () (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Oplus__class_Oplus @t22 @t19 @t1) @t1)) % 2.13/2.36 (define @t27 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 2.13/2.36 (define @t28 () (@list @t1 @t20 @t22 @t19)) % 2.13/2.36 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t22 @t1)) % 2.13/2.36 (define @t30 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 2.13/2.36 (define @t31 () (tptp.c_HOL_Oord__class_Oless @t22 @t20 @t1)) % 2.13/2.36 (define @t32 () (not @t31)) % 2.13/2.36 (define @t33 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t22 @t1))) % 2.13/2.36 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t1)) % 2.13/2.36 (define @t35 () (not (tptp.class_Orderings_Oorder @t1))) % 2.13/2.36 (define @t36 () (@list @t1 @t19 @t20 @t22)) % 2.13/2.36 (define @t37 () (tptp.tc_fun @t1 tptp.tc_bool)) % 2.13/2.36 (define @t38 () (@var "V_B" $$unsorted)) % 2.13/2.36 (define @t39 () (@var "V_A" $$unsorted)) % 2.13/2.36 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t39 @t38 @t37)) % 2.13/2.36 (define @t41 () (not @t40)) % 2.13/2.36 (define @t42 () (@var "V_C" $$unsorted)) % 2.13/2.36 (define @t43 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t42 @t37))) % 2.13/2.36 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t39 @t42 @t37)) % 2.13/2.36 (define @t45 () (@list @t39 @t42 @t1 @t38)) % 2.13/2.36 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t20 @t22 @t1)) % 2.13/2.36 (define @t47 () (not @t46)) % 2.13/2.36 (define @t48 () (not (tptp.c_HOL_Oord__class_Oless @t22 @t19 @t1))) % 2.13/2.36 (define @t49 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t1)) % 2.13/2.36 (define @t50 () (not (tptp.class_Orderings_Opreorder @t1))) % 2.13/2.36 (define @t51 () (@list @t1 @t20 @t19 @t22)) % 2.13/2.36 (define @t52 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 2.13/2.36 (define @t53 () (tptp.c_lessequals @t52 @t5 @t1)) % 2.13/2.36 (define @t54 () (not @t53)) % 2.13/2.36 (define @t55 () (not (tptp.c_lessequals @t52 @t3 @t1))) % 2.13/2.36 (define @t56 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 2.13/2.36 (define @t57 () (@list @t1 @t5 @t3)) % 2.13/2.36 (define @t58 () (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t52 @t1) @t52)) % 2.13/2.36 (define @t59 () (not (tptp.c_lessequals @t52 @t52 @t1))) % 2.13/2.36 (define @t60 () (@list @t1)) % 2.13/2.36 (define @t61 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 2.13/2.36 (define @t62 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 2.13/2.36 (define @t63 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t5 @t1)) % 2.13/2.36 (define @t64 () (tptp.c_lessequals @t52 @t63 @t1)) % 2.13/2.36 (define @t65 () (@list @t1 @t5)) % 2.13/2.36 (define @t66 () (tptp.c_Suc @t61)) % 2.13/2.36 (define @t67 () (= @t14 @t61)) % 2.13/2.36 (define @t68 () (@list @t14)) % 2.13/2.36 (define @t69 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 2.13/2.36 (define @t70 () (tptp.c_Suc @t14)) % 2.13/2.36 (define @t71 () (tptp.c_HOL_Oplus__class_Oplus @t66 @t61 tptp.tc_nat)) % 2.13/2.36 (define @t72 () (tptp.c_HOL_Oord__class_Oless @t52 @t5 @t1)) % 2.13/2.36 (define @t73 () (not @t72)) % 2.13/2.36 (define @t74 () (not (tptp.c_lessequals @t3 @t2 @t1))) % 2.13/2.36 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t3 @t11 @t1)) % 2.13/2.36 (define @t76 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 2.13/2.36 (define @t77 () (@list @t1 @t3 @t5 @t2)) % 2.13/2.36 (define @t78 () (@var "T_b" $$unsorted)) % 2.13/2.36 (define @t79 () (@var "V_f" $$unsorted)) % 2.13/2.36 (define @t80 () (tptp.c_Fun_Oinj__on @t79 @t39 @t1 @t78)) % 2.13/2.36 (define @t81 () (not @t80)) % 2.13/2.36 (define @t82 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 @t37)) % 2.13/2.36 (define @t83 () (tptp.c_Set_Ovimage @t79 @t38 @t1 @t78)) % 2.13/2.36 (define @t84 () (tptp.c_Set_Ovimage @t79 @t39 @t1 @t78)) % 2.13/2.36 (define @t85 () (tptp.tc_fun @t78 tptp.tc_bool)) % 2.13/2.36 (define @t86 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 @t85)) % 2.13/2.36 (define @t87 () (@var "V_i" $$unsorted)) % 2.13/2.36 (define @t88 () (@list @t87 @t16)) % 2.13/2.36 (define @t89 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t20 tptp.tc_nat)) % 2.13/2.36 (define @t90 () (@list @t16 @t20)) % 2.13/2.36 (define @t91 () (tptp.c_lessequals @t3 @t11 @t1)) % 2.13/2.36 (define @t92 () (not (tptp.c_lessequals @t3 @t5 @t1))) % 2.13/2.36 (define @t93 () (tptp.c_HOL_Oord__class_Oless @t20 @t22 tptp.tc_nat)) % 2.13/2.36 (define @t94 () (not @t93)) % 2.13/2.36 (define @t95 () (tptp.c_HOL_Oord__class_Oless @t20 @t23 tptp.tc_nat)) % 2.13/2.36 (define @t96 () (@var "V_j" $$unsorted)) % 2.13/2.36 (define @t97 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t96 tptp.tc_nat)) % 2.13/2.36 (define @t98 () (@list @t87 @t13 @t96)) % 2.13/2.36 (define @t99 () (not (tptp.c_HOL_Oord__class_Oless @t87 @t96 tptp.tc_nat))) % 2.13/2.36 (define @t100 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t101 () (@list @t87 @t96 @t16)) % 2.13/2.36 (define @t102 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t96 tptp.tc_nat)) % 2.13/2.36 (define @t103 () (@list @t87 @t16 @t96)) % 2.13/2.36 (define @t104 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t5 @t1)) % 2.13/2.36 (define @t105 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t5 @t1)) % 2.13/2.36 (define @t106 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t107 () (@list @t16 @t14)) % 2.13/2.36 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t16 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t109 () (@var "V_l" $$unsorted)) % 2.13/2.36 (define @t110 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t109 tptp.tc_nat))) % 2.13/2.36 (define @t111 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t112 () (@list @t1 @t20 @t22)) % 2.13/2.36 (define @t113 () (= @t16 @t14)) % 2.13/2.36 (define @t114 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t1)) % 2.13/2.36 (define @t115 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 2.13/2.36 (define @t116 () (@list @t1 @t16 @t14)) % 2.13/2.36 (define @t117 () (= @t5 @t52)) % 2.13/2.36 (define @t118 () (not (tptp.class_Int_Onumber__ring @t1))) % 2.13/2.36 (define @t119 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 2.13/2.36 (define @t120 () (not (tptp.c_lessequals @t52 @t20 @t1))) % 2.13/2.36 (define @t121 () (not (tptp.c_lessequals @t52 @t22 @t1))) % 2.13/2.36 (define @t122 () (not (= @t29 @t52))) % 2.13/2.36 (define @t123 () (= @t16 @t61)) % 2.13/2.36 (define @t124 () (not (= @t17 @t61))) % 2.13/2.36 (define @t125 () (@var "V_times" $$unsorted)) % 2.13/2.36 (define @t126 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t125 @t1))) % 2.13/2.36 (define @t127 () (tptp.hAPP @t125 @t3)) % 2.13/2.36 (define @t128 () (tptp.hAPP @t125 @t5)) % 2.13/2.36 (define @t129 () (tptp.hAPP @t128 (tptp.hAPP @t127 @t2))) % 2.13/2.36 (define @t130 () (tptp.hAPP @t128 @t3)) % 2.13/2.36 (define @t131 () (@list @t125 @t5 @t3 @t2 @t1)) % 2.13/2.36 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t5 @t52 @t1)) % 2.13/2.36 (define @t133 () (not @t132)) % 2.13/2.36 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t63 @t52 @t1)) % 2.13/2.36 (define @t135 () (not @t134)) % 2.13/2.36 (define @t136 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 2.13/2.36 (define @t137 () (= @t16 @t66)) % 2.13/2.36 (define @t138 () (= @t14 @t66)) % 2.13/2.36 (define @t139 () (not (= @t66 @t17))) % 2.13/2.36 (define @t140 () (tptp.c_HOL_Oone__class_Oone @t1)) % 2.13/2.36 (define @t141 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 2.13/2.36 (define @t142 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 2.13/2.36 (define @t143 () (tptp.c_lessequals @t5 @t52 @t1)) % 2.13/2.36 (define @t144 () (not @t143)) % 2.13/2.36 (define @t145 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t52 @t1))) % 2.13/2.36 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t7 @t52 @t1)) % 2.13/2.36 (define @t147 () (not (tptp.c_lessequals @t3 @t52 @t1))) % 2.13/2.36 (define @t148 () (tptp.c_Finite__Set_Ofinite @t39 @t78)) % 2.13/2.36 (define @t149 () (@list @t1 @t79 @t39 @t78)) % 2.13/2.36 (define @t150 () (tptp.c_Finite__Set_Ofinite @t39 @t1)) % 2.13/2.36 (define @t151 () (tptp.c_Finite__Set_Osetsum @t79 @t39 @t1 @t78)) % 2.13/2.36 (define @t152 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t78))) % 2.13/2.36 (define @t153 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t69 tptp.tc_nat)) % 2.13/2.36 (define @t154 () (tptp.c_Orderings_Obot__class_Obot @t85)) % 2.13/2.36 (define @t155 () (@list @t1 @t79 @t78)) % 2.13/2.36 (define @t156 () (@list @t20 @t1)) % 2.13/2.36 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 tptp.tc_nat)) % 2.13/2.36 (define @t158 () (@list @t20)) % 2.13/2.36 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t20 @t20 @t1)) % 2.13/2.36 (define @t160 () (not @t159)) % 2.13/2.36 (define @t161 () (@list @t1 @t20)) % 2.13/2.36 (define @t162 () (not (tptp.class_Orderings_Olinorder @t1))) % 2.13/2.36 (define @t163 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t3 @t1))) % 2.13/2.36 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t52 @t7 @t1)) % 2.13/2.36 (define @t165 () (= @t20 @t22)) % 2.13/2.36 (define @t166 () (@list @t1 @t22 @t20)) % 2.13/2.36 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t14 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t168 () (@list @t14 @t16)) % 2.13/2.36 (define @t169 () (@var "V_P" $$unsorted)) % 2.13/2.36 (define @t170 () (tptp.c_HOL_Oord__class_Oless @t61 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t171 () (not @t170)) % 2.13/2.36 (define @t172 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t69 tptp.tc_nat))) % 2.13/2.36 (define @t173 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t1)) % 2.13/2.36 (define @t174 () (not @t173)) % 2.13/2.36 (define @t175 () (@var "V_d" $$unsorted)) % 2.13/2.36 (define @t176 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t175 @t1))) % 2.13/2.36 (define @t177 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t175 @t1)) % 2.13/2.36 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t11 @t177 @t1)) % 2.13/2.36 (define @t179 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 2.13/2.36 (define @t180 () (@list @t1 @t5 @t2 @t3 @t175)) % 2.13/2.36 (define @t181 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t109 tptp.tc_nat)) % 2.13/2.36 (define @t182 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t183 () (@list @t87 @t13 @t96 @t109)) % 2.13/2.36 (define @t184 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t175 @t1)) % 2.13/2.36 (define @t185 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t184 @t1)) % 2.13/2.36 (define @t186 () (@list @t1 @t5 @t2 @t175)) % 2.13/2.36 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t61 @t17 tptp.tc_nat)) % 2.13/2.36 (define @t188 () (tptp.c_HOL_Oord__class_Oless @t61 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t189 () (@list @t16)) % 2.13/2.36 (define @t190 () (@var "V_u" $$unsorted)) % 2.13/2.36 (define @t191 () (@var "V_Q" $$unsorted)) % 2.13/2.36 (define @t192 () (tptp.c_HOL_Ominus__class_Ominus @t82 @t38 @t37)) % 2.13/2.36 (define @t193 () (@list @t39 @t38 @t1)) % 2.13/2.36 (define @t194 () (forall @t193 (= @t192 @t82))) % 2.13/2.36 (define @t195 () (tptp.c_HOL_Oplus__class_Oplus @t61 @t66 tptp.tc_nat)) % 2.13/2.36 (define @t196 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1))) % 2.13/2.36 (define @t197 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 2.13/2.36 (define @t198 () (tptp.c_Suc @t16)) % 2.13/2.36 (define @t199 () (@list @t1 @t16)) % 2.13/2.36 (define @t200 () (tptp.c_Suc @t20)) % 2.13/2.36 (define @t201 () (= @t22 @t19)) % 2.13/2.36 (define @t202 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t203 () (@list @t16 @t13 @t14)) % 2.13/2.36 (define @t204 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t205 () (@list @t13 @t16 @t14)) % 2.13/2.36 (define @t206 () (= @t3 @t2)) % 2.13/2.36 (define @t207 () (not (= @t7 @t11))) % 2.13/2.36 (define @t208 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 2.13/2.36 (define @t209 () (not (= @t17 @t66))) % 2.13/2.36 (define @t210 () (@list @t1 @t14)) % 2.13/2.36 (define @t211 () (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t5 @t1) @t5)) % 2.13/2.36 (define @t212 () (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t52 @t1) @t5)) % 2.13/2.36 (define @t213 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 2.13/2.36 (define @t214 () (tptp.c_lessequals @t5 @t3 @t1)) % 2.13/2.36 (define @t215 () (not @t214)) % 2.13/2.36 (define @t216 () (not (tptp.c_lessequals @t2 @t175 @t1))) % 2.13/2.36 (define @t217 () (not @t188)) % 2.13/2.36 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t52 @t63 @t1)) % 2.13/2.36 (define @t219 () (tptp.hBOOL (tptp.c_in @t2 @t82 @t1))) % 2.13/2.36 (define @t220 () (not @t219)) % 2.13/2.36 (define @t221 () (tptp.hBOOL (tptp.c_in @t2 @t38 @t1))) % 2.13/2.36 (define @t222 () (@list @t2 @t38 @t1 @t39)) % 2.13/2.36 (define @t223 () (tptp.hBOOL (tptp.c_in @t2 @t39 @t1))) % 2.13/2.36 (define @t224 () (not @t223)) % 2.13/2.36 (define @t225 () (tptp.hBOOL (tptp.c_in @t20 @t39 @t1))) % 2.13/2.36 (define @t226 () (not @t225)) % 2.13/2.36 (define @t227 () (not (tptp.hBOOL (tptp.c_in @t22 @t39 @t1)))) % 2.13/2.36 (define @t228 () (tptp.hAPP @t79 @t20)) % 2.13/2.36 (define @t229 () (not (= @t228 (tptp.hAPP @t79 @t22)))) % 2.13/2.36 (define @t230 () (@list @t79 @t20 @t22 @t39 @t1 @t78)) % 2.13/2.36 (define @t231 () (@var "V_xa" $$unsorted)) % 2.13/2.36 (define @t232 () (tptp.hAPP @t79 @t5)) % 2.13/2.36 (define @t233 () (tptp.hBOOL (tptp.c_in @t232 @t38 @t78))) % 2.13/2.36 (define @t234 () (tptp.hBOOL (tptp.c_in @t5 @t83 @t1))) % 2.13/2.36 (define @t235 () (tptp.c_Set_Ovimage @t79 @t39 @t78 @t1)) % 2.13/2.36 (define @t236 () (tptp.c_Set_Ovimage @t79 @t38 @t78 @t1)) % 2.13/2.36 (define @t237 () (@list @t79 @t5 @t38 @t78 @t1)) % 2.13/2.36 (define @t238 () (tptp.c_lessequals @t20 @t22 @t1)) % 2.13/2.36 (define @t239 () (not @t238)) % 2.13/2.36 (define @t240 () (= @t5 @t3)) % 2.13/2.36 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t3 @t5 @t1)) % 2.13/2.36 (define @t242 () (@list @t1 @t3 @t5)) % 2.13/2.36 (define @t243 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 2.13/2.36 (define @t244 () (not (tptp.c_lessequals @t22 @t19 @t1))) % 2.13/2.36 (define @t245 () (tptp.c_lessequals @t22 @t20 @t1)) % 2.13/2.36 (define @t246 () (not @t245)) % 2.13/2.36 (define @t247 () (not (tptp.c_lessequals @t19 @t22 @t1))) % 2.13/2.36 (define @t248 () (@var "V_X" $$unsorted)) % 2.13/2.36 (define @t249 () (tptp.hAPP @t79 @t248)) % 2.13/2.36 (define @t250 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 2.13/2.36 (define @t251 () (tptp.c_lessequals @t104 @t250 @t1)) % 2.13/2.36 (define @t252 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 2.13/2.36 (define @t253 () (@list @t1 @t2 @t5 @t3)) % 2.13/2.36 (define @t254 () (tptp.c_lessequals @t11 @t4 @t1)) % 2.13/2.36 (define @t255 () (@list @t1 @t5 @t2 @t3)) % 2.13/2.36 (define @t256 () (tptp.c_lessequals @t20 @t20 @t1)) % 2.13/2.36 (define @t257 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 @t1)) % 2.13/2.36 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t257 @t52 @t1)) % 2.13/2.36 (define @t259 () (not @t108)) % 2.13/2.36 (define @t260 () (tptp.c_HOL_Oord__class_Oless @t115 @t114 @t1)) % 2.13/2.36 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t52 @t114 @t1)) % 2.13/2.36 (define @t262 () (tptp.c_lessequals @t63 @t52 @t1)) % 2.13/2.36 (define @t263 () (@list @t87 @t96)) % 2.13/2.36 (define @t264 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t87 tptp.tc_nat)) % 2.13/2.36 (define @t265 () (tptp.c_HOL_Ominus__class_Ominus @t96 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t87 @t265 tptp.tc_nat)) % 2.13/2.36 (define @t267 () (tptp.c_HOL_Oord__class_Oless @t182 @t96 tptp.tc_nat)) % 2.13/2.36 (define @t268 () (@list @t87 @t96 @t13)) % 2.13/2.36 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t11 @t4 @t1)) % 2.13/2.36 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t104 @t250 @t1)) % 2.13/2.36 (define @t271 () (tptp.c_HOL_Oplus__class_Oplus @t96 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t204 @t111 tptp.tc_nat)) % 2.13/2.36 (define @t273 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t3 tptp.tc_nat))) % 2.13/2.36 (define @t274 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t275 () (tptp.c_HOL_Oord__class_Oless @t61 @t274 tptp.tc_nat)) % 2.13/2.36 (define @t276 () (tptp.hBOOL (tptp.hAPP @t84 @t20))) % 2.13/2.36 (define @t277 () (tptp.hBOOL (tptp.hAPP @t39 @t228))) % 2.13/2.36 (define @t278 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t279 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t278 tptp.tc_nat) @t16)) % 2.13/2.36 (define @t280 () (not @t241)) % 2.13/2.36 (define @t281 () (@var "V_F" $$unsorted)) % 2.13/2.36 (define @t282 () (not (tptp.c_Finite__Set_Ofinite @t281 @t1))) % 2.13/2.36 (define @t283 () (tptp.c_Set_Oinsert @t20 @t38 @t1)) % 2.13/2.36 (define @t284 () (tptp.c_HOL_Oord__class_Oless @t39 @t283 @t37)) % 2.13/2.36 (define @t285 () (not @t284)) % 2.13/2.36 (define @t286 () (tptp.hBOOL (tptp.c_in @t20 @t38 @t1))) % 2.13/2.36 (define @t287 () (tptp.c_Orderings_Obot__class_Obot @t37)) % 2.13/2.36 (define @t288 () (tptp.c_Set_Oinsert @t20 @t287 @t1)) % 2.13/2.36 (define @t289 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t288 @t37)) % 2.13/2.36 (define @t290 () (tptp.c_HOL_Oord__class_Oless @t289 @t38 @t37)) % 2.13/2.36 (define @t291 () (@list @t39 @t20 @t1 @t38)) % 2.13/2.36 (define @t292 () (not @t290)) % 2.13/2.36 (define @t293 () (@list @t39 @t20 @t38 @t1)) % 2.13/2.36 (define @t294 () (not @t150)) % 2.13/2.36 (define @t295 () (not (tptp.c_lessequals @t38 @t39 @t37))) % 2.13/2.36 (define @t296 () (not (tptp.class_OrderedGroup_Oab__group__add @t78))) % 2.13/2.36 (define @t297 () (tptp.c_lessequals @t39 @t38 @t37)) % 2.13/2.36 (define @t298 () (not @t297)) % 2.13/2.36 (define @t299 () (= @t39 @t287)) % 2.13/2.36 (define @t300 () (tptp.c_Finite__Set_Ocard @t39 @t1)) % 2.13/2.36 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t61 @t300 tptp.tc_nat)) % 2.13/2.36 (define @t302 () (@list @t39 @t1)) % 2.13/2.36 (define @t303 () (not (tptp.c_Finite__Set_Ofinite @t38 @t1))) % 2.13/2.36 (define @t304 () (tptp.c_Finite__Set_Ocard @t38 @t1)) % 2.13/2.36 (define @t305 () (tptp.c_HOL_Oord__class_Oless @t300 @t304 tptp.tc_nat)) % 2.13/2.36 (define @t306 () (tptp.c_lessequals @t257 @t52 @t1)) % 2.13/2.36 (define @t307 () (tptp.c_Set_Oinsert @t20 @t39 @t1)) % 2.13/2.36 (define @t308 () (tptp.c_HOL_Ominus__class_Ominus @t307 @t38 @t37)) % 2.13/2.36 (define @t309 () (@list @t20 @t39 @t1 @t38)) % 2.13/2.36 (define @t310 () (not @t286)) % 2.13/2.36 (define @t311 () (or (= @t308 @t82) @t310)) % 2.13/2.36 (define @t312 () (forall @t309 @t311)) % 2.13/2.36 (define @t313 () (@list @t39 @t38 @t1 @t20)) % 2.13/2.36 (define @t314 () (not (tptp.hBOOL (tptp.c_in @t5 @t248 @t1)))) % 2.13/2.36 (define @t315 () (tptp.hBOOL (tptp.c_in @t5 @t39 @t1))) % 2.13/2.36 (define @t316 () (tptp.c_Set_Oinsert @t5 @t287 @t1)) % 2.13/2.36 (define @t317 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t316 @t37)) % 2.13/2.36 (define @t318 () (tptp.c_Finite__Set_Osetsum @t79 @t317 @t1 @t78)) % 2.13/2.36 (define @t319 () (@list @t78 @t79 @t39 @t5 @t1)) % 2.13/2.36 (define @t320 () (not (tptp.c_lessequals @t281 @t39 @t37))) % 2.13/2.36 (define @t321 () (not (tptp.hBOOL (tptp.hAPP @t169 @t287)))) % 2.13/2.36 (define @t322 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2 @t39 @t169 @t1)) % 2.13/2.36 (define @t323 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1 @t39 @t169 @t1)) % 2.13/2.36 (define @t324 () (tptp.hBOOL (tptp.hAPP @t169 @t281))) % 2.13/2.36 (define @t325 () (@list @t169 @t281 @t39 @t1)) % 2.13/2.36 (define @t326 () (tptp.c_lessequals @t16 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t327 () (not @t326)) % 2.13/2.36 (define @t328 () (tptp.c_lessequals @t115 @t114 @t1)) % 2.13/2.36 (define @t329 () (tptp.c_Set_Oinsert @t5 @t39 @t1)) % 2.13/2.36 (define @t330 () (tptp.c_Fun_Oinj__on @t79 @t329 @t1 @t78)) % 2.13/2.36 (define @t331 () (not @t330)) % 2.13/2.36 (define @t332 () (tptp.hBOOL (tptp.c_in @t232 (tptp.c_Set_Oimage @t79 @t317 @t1 @t78) @t78))) % 2.13/2.36 (define @t333 () (@list @t79 @t5 @t39 @t1 @t78)) % 2.13/2.36 (define @t334 () (tptp.c_Set_Oinsert @t5 @t38 @t1)) % 2.13/2.36 (define @t335 () (tptp.c_HOL_Ominus__class_Ominus @t39 @t334 @t37)) % 2.13/2.36 (define @t336 () (tptp.c_Finite__Set_Ofinite @t335 @t1)) % 2.13/2.36 (define @t337 () (tptp.c_Finite__Set_Ofinite @t82 @t1)) % 2.13/2.36 (define @t338 () (not @t337)) % 2.13/2.36 (define @t339 () (@list @t39 @t5 @t38 @t1)) % 2.13/2.36 (define @t340 () (tptp.c_Set_Oinsert @t5 @t317 @t1)) % 2.13/2.36 (define @t341 () (@list @t5 @t39 @t1)) % 2.13/2.36 (define @t342 () (tptp.c_Set_Oimage @t79 @t39 @t78 @t1)) % 2.13/2.36 (define @t343 () (tptp.c_COMBK @t2 @t1 @t78)) % 2.13/2.36 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t20 @t200 tptp.tc_nat)) % 2.13/2.36 (define @t345 () (tptp.c_lessequals @t20 @t20 tptp.tc_nat)) % 2.13/2.36 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t16 @t70 tptp.tc_nat)) % 2.13/2.36 (define @t347 () (not @t346)) % 2.13/2.36 (define @t348 () (tptp.c_lessequals @t198 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t349 () (not @t348)) % 2.13/2.36 (define @t350 () (tptp.c_lessequals @t70 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t351 () (not @t350)) % 2.13/2.36 (define @t352 () (tptp.c_HOL_Oord__class_Oless @t14 @t198 tptp.tc_nat)) % 2.13/2.36 (define @t353 () (not @t352)) % 2.13/2.36 (define @t354 () (= @t14 @t16)) % 2.13/2.36 (define @t355 () (tptp.tc_fun tptp.t_a @t78)) % 2.13/2.36 (define @t356 () (tptp.c_Set_Oimage @t79 @t38 @t78 @t1)) % 2.13/2.36 (define @t357 () (@list @t79 @t39 @t78 @t1 @t38)) % 2.13/2.36 (define @t358 () (@list @t79 @t39 @t78 @t1)) % 2.13/2.36 (define @t359 () (= @t300 @t61)) % 2.13/2.36 (define @t360 () (tptp.c_Finite__Set_Ocard @t287 @t1)) % 2.13/2.36 (define @t361 () (tptp.c_HOL_Ominus__class_Ominus @t70 @t69 tptp.tc_nat)) % 2.13/2.36 (define @t362 () (forall @t68 (= @t361 @t14))) % 2.13/2.36 (define @t363 () (tptp.c_lessequals @t13 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t364 () (not @t363)) % 2.13/2.36 (define @t365 () (= @t278 @t61)) % 2.13/2.36 (define @t366 () (not @t365)) % 2.13/2.36 (define @t367 () (not (tptp.c_lessequals @t13 @t96 tptp.tc_nat))) % 2.13/2.36 (define @t368 () (tptp.c_lessequals @t87 @t265 tptp.tc_nat)) % 2.13/2.36 (define @t369 () (tptp.c_lessequals @t182 @t96 tptp.tc_nat)) % 2.13/2.36 (define @t370 () (tptp.c_lessequals @t265 @t87 tptp.tc_nat)) % 2.13/2.36 (define @t371 () (tptp.c_lessequals @t96 @t182 tptp.tc_nat)) % 2.13/2.36 (define @t372 () (@list @t96 @t87 @t13)) % 2.13/2.36 (define @t373 () (@list @t96 @t13 @t87)) % 2.13/2.36 (define @t374 () (tptp.c_HOL_Oplus__class_Oplus @t87 @t265 tptp.tc_nat)) % 2.13/2.36 (define @t375 () (tptp.c_HOL_Ominus__class_Ominus @t97 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t376 () (tptp.c_HOL_Oplus__class_Oplus @t265 @t87 tptp.tc_nat)) % 2.13/2.36 (define @t377 () (tptp.c_HOL_Ominus__class_Ominus @t264 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t378 () (tptp.c_COMBK @t2 @t78 @t1)) % 2.13/2.36 (define @t379 () (@var "V_y_H" $$unsorted)) % 2.13/2.36 (define @t380 () (@var "V_x_H" $$unsorted)) % 2.13/2.36 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t380 @t379 @t1)) % 2.13/2.36 (define @t382 () (tptp.c_HOL_Ominus__class_Ominus @t380 @t379 @t1)) % 2.13/2.36 (define @t383 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t22 @t1)) % 2.13/2.36 (define @t384 () (not (= @t383 @t382))) % 2.13/2.36 (define @t385 () (@list @t1 @t20 @t22 @t380 @t379)) % 2.13/2.36 (define @t386 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t1)) % 2.13/2.36 (define @t387 () (= @t386 @t52)) % 2.13/2.36 (define @t388 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 2.13/2.36 (define @t389 () (not (= @t257 @t52))) % 2.13/2.36 (define @t390 () (@list @t39 @t1 @t38)) % 2.13/2.36 (define @t391 () (@list @t79 @t78 @t1)) % 2.13/2.36 (define @t392 () (@list @t1 @t39)) % 2.13/2.36 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t198 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t394 () (not (tptp.c_HOL_Oord__class_Oless @t96 @t13 tptp.tc_nat))) % 2.13/2.36 (define @t395 () (tptp.c_Suc @t87)) % 2.13/2.36 (define @t396 () (@var "V_nat_H" $$unsorted)) % 2.13/2.36 (define @t397 () (tptp.c_Suc @t396)) % 2.13/2.36 (define @t398 () (@list @t396)) % 2.13/2.36 (define @t399 () (tptp.c_Suc @t17)) % 2.13/2.36 (define @t400 () (tptp.c_HOL_Oplus__class_Oplus @t198 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t401 () (tptp.c_HOL_Oplus__class_Oplus @t16 @t70 tptp.tc_nat)) % 2.13/2.36 (define @t402 () (tptp.c_HOL_Oord__class_Oless @t198 @t70 tptp.tc_nat)) % 2.13/2.36 (define @t403 () (tptp.tc_fun @t1 @t78)) % 2.13/2.36 (define @t404 () (@var "V_g" $$unsorted)) % 2.13/2.36 (define @t405 () (tptp.c_HOL_Oord__class_Oless @t79 @t404 @t403)) % 2.13/2.36 (define @t406 () (not @t405)) % 2.13/2.36 (define @t407 () (tptp.c_lessequals @t79 @t404 @t403)) % 2.13/2.36 (define @t408 () (not (tptp.class_HOL_Oord @t78))) % 2.13/2.36 (define @t409 () (@list @t78 @t79 @t404 @t1)) % 2.13/2.36 (define @t410 () (not @t407)) % 2.13/2.36 (define @t411 () (tptp.c_lessequals @t404 @t79 @t403)) % 2.13/2.36 (define @t412 () (= @t39 @t38)) % 2.13/2.36 (define @t413 () (not (tptp.c_lessequals @t38 @t42 @t37))) % 2.13/2.36 (define @t414 () (@list @t79 @t39 @t1 @t78 @t38)) % 2.13/2.36 (define @t415 () (tptp.c_lessequals @t39 @t42 @t37)) % 2.13/2.36 (define @t416 () (not @t415)) % 2.13/2.36 (define @t417 () (@var "V_D" $$unsorted)) % 2.13/2.36 (define @t418 () (tptp.c_Set_Oimage @t79 @t38 @t1 @t78)) % 2.13/2.36 (define @t419 () (tptp.c_Set_Oimage @t79 @t39 @t1 @t78)) % 2.13/2.36 (define @t420 () (tptp.c_lessequals @t204 @t111 tptp.tc_nat)) % 2.13/2.36 (define @t421 () (not (tptp.c_lessequals @t87 @t96 tptp.tc_nat))) % 2.13/2.36 (define @t422 () (tptp.c_lessequals @t20 @t22 tptp.tc_nat)) % 2.13/2.36 (define @t423 () (@list @t20 @t22)) % 2.13/2.36 (define @t424 () (not (tptp.c_lessequals @t202 @t14 tptp.tc_nat))) % 2.13/2.36 (define @t425 () (tptp.c_lessequals @t20 @t23 tptp.tc_nat)) % 2.13/2.36 (define @t426 () (@list @t14 @t87)) % 2.13/2.36 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t109 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t428 () (tptp.c_HOL_Ominus__class_Ominus @t109 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t429 () (@list @t109 @t14 @t16)) % 2.13/2.36 (define @t430 () (tptp.hBOOL (tptp.hAPP @t169 @t20))) % 2.13/2.36 (define @t431 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t87 @t96 tptp.tc_nat) @t13 tptp.tc_nat)) % 2.13/2.36 (define @t432 () (not @t315)) % 2.13/2.36 (define @t433 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t87 tptp.tc_nat)) % 2.13/2.36 (define @t434 () (tptp.c_lessequals @t14 @t16 tptp.tc_nat)) % 2.13/2.36 (define @t435 () (not @t434)) % 2.13/2.36 (define @t436 () (not (tptp.c_lessequals @t13 @t16 tptp.tc_nat))) % 2.13/2.36 (define @t437 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t438 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t13 tptp.tc_nat)) % 2.13/2.36 (define @t439 () (tptp.c_HOL_Oord__class_Oless @t438 @t437 tptp.tc_nat)) % 2.13/2.36 (define @t440 () (tptp.c_Finite__Set_Ocard @t419 @t78)) % 2.13/2.36 (define @t441 () (= @t440 @t300)) % 2.13/2.36 (define @t442 () (@list @t79 @t39 @t1 @t78)) % 2.13/2.36 (define @t443 () (= @t318 (tptp.c_HOL_Ominus__class_Ominus @t151 @t232 @t78))) % 2.13/2.36 (define @t444 () (tptp.c_Finite__Set_Ocard @t289 @t1)) % 2.13/2.36 (define @t445 () (@list @t39 @t20 @t1)) % 2.13/2.36 (define @t446 () (tptp.hBOOL (tptp.c_in @t5 @t38 @t1))) % 2.13/2.36 (define @t447 () (tptp.c_Finite__Set_Ocard @t82 @t1)) % 2.13/2.36 (define @t448 () (@var "V_pn" $$unsorted)) % 2.13/2.36 (define @t449 () (tptp.c_Option_Othe (tptp.c_Com_Obody @t448) tptp.tc_Com_Ocom)) % 2.13/2.36 (define @t450 () (tptp.c_Finite__Set_Olinorder__class_OMin @t39 @t1)) % 2.13/2.36 (define @t451 () (tptp.c_Finite__Set_Olinorder__class_OMax @t39 @t1)) % 2.13/2.36 (define @t452 () (tptp.c_HOL_Ominus__class_Ominus @t307 @t288 @t37)) % 2.13/2.36 (define @t453 () (or (= @t452 @t39) @t225)) % 2.13/2.36 (define @t454 () (@list @t20 @t39 @t1)) % 2.13/2.36 (define @t455 () (forall @t454 @t453)) % 2.13/2.36 (define @t456 () (@var "T_aa" $$unsorted)) % 2.13/2.36 (define @t457 () (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 @t79 @t1)) % 2.13/2.36 (define @t458 () (@var "V_n_H" $$unsorted)) % 2.13/2.36 (define @t459 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1 @t39 @t38 @t79 @t1 @t78)) % 2.13/2.36 (define @t460 () (tptp.c_lessequals @t419 @t38 @t85)) % 2.13/2.36 (define @t461 () (tptp.c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1 @t39 @t38 @t79 @t78 @t1)) % 2.13/2.36 (define @t462 () (tptp.c_lessequals @t342 @t38 @t37)) % 2.13/2.36 (define @t463 () (tptp.c_Set_Oimage @t404 @t248 @t1 @t78)) % 2.13/2.36 (define @t464 () (tptp.c_lessequals @t289 @t38 @t37)) % 2.13/2.36 (define @t465 () (not @t464)) % 2.13/2.36 (define @t466 () (tptp.c_lessequals @t39 @t283 @t37)) % 2.13/2.36 (define @t467 () (= @t39 @t154)) % 2.13/2.36 (define @t468 () (tptp.c_Set_Oimage @t79 @t39 @t1 @t1)) % 2.13/2.36 (define @t469 () (tptp.c_Fun_Oinj__on @t79 @t39 @t1 @t1)) % 2.13/2.36 (define @t470 () (@list @t79 @t39 @t1)) % 2.13/2.36 (define @t471 () (not (tptp.c_lessequals @t38 @t342 @t37))) % 2.13/2.36 (define @t472 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 @t39 @t38 @t79 @t78 @t1)) % 2.13/2.36 (define @t473 () (@list @t39 @t38 @t79 @t78 @t1)) % 2.13/2.36 (define @t474 () (tptp.c_Suc @t96)) % 2.13/2.36 (define @t475 () (tptp.c_Suc @t265)) % 2.13/2.36 (define @t476 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 2.13/2.36 (define @t477 () (tptp.c_Orderings_Obot__class_Obot @t476)) % 2.13/2.36 (define @t478 () (@var "V_G" $$unsorted)) % 2.13/2.36 (define @t479 () (tptp.hAPP tptp.v_mgt__call @t448)) % 2.13/2.36 (define @t480 () (tptp.hAPP tptp.v_P @t478)) % 2.13/2.36 (define @t481 () (@var "V_N" $$unsorted)) % 2.13/2.36 (define @t482 () (@var "V_M" $$unsorted)) % 2.13/2.36 (define @t483 () (not (tptp.c_lessequals @t482 @t481 @t37))) % 2.13/2.36 (define @t484 () (= @t482 @t287)) % 2.13/2.36 (define @t485 () (not (tptp.c_Finite__Set_Ofinite @t481 @t1))) % 2.13/2.36 (define @t486 () (not @t466)) % 2.13/2.36 (define @t487 () (tptp.c_Finite__Set_Ocard @t231 @t1)) % 2.13/2.36 (define @t488 () (tptp.c_Set_Oinsert @t20 @t231 @t1)) % 2.13/2.36 (define @t489 () (tptp.hBOOL (tptp.c_in @t20 @t231 @t1))) % 2.13/2.36 (define @t490 () (@list @t20 @t231 @t1)) % 2.13/2.36 (define @t491 () (not @t460)) % 2.13/2.36 (define @t492 () (tptp.c_Finite__Set_Ofinite @t38 @t78)) % 2.13/2.36 (define @t493 () (not @t492)) % 2.13/2.36 (define @t494 () (tptp.c_Finite__Set_Ocard @t38 @t78)) % 2.13/2.36 (define @t495 () (tptp.c_Suc @t444)) % 2.13/2.36 (define @t496 () (tptp.c_Finite__Set_Ocard @t307 @t1)) % 2.13/2.36 (define @t497 () (not (tptp.v_wt @t2))) % 2.13/2.36 (define @t498 () (tptp.v_sko__local__Xassms__3__1 @t478 tptp.v_P tptp.v_U tptp.v_mgt__call)) % 2.13/2.36 (define @t499 () (tptp.hBOOL (tptp.hAPP @t480 (tptp.c_Set_Oinsert (tptp.v_mgt @t2) @t477 tptp.t_a)))) % 2.13/2.36 (define @t500 () (@list @t478 @t2)) % 2.13/2.36 (define @t501 () (@list @t20 @t38 @t1 @t39)) % 2.13/2.36 (define @t502 () (@var "V_t" $$unsorted)) % 2.13/2.36 (define @t503 () (not (tptp.c_lessequals @t169 @t191 @t37))) % 2.13/2.36 (define @t504 () (not @t430)) % 2.13/2.36 (define @t505 () (tptp.hBOOL (tptp.hAPP @t191 @t20))) % 2.13/2.36 (define @t506 () (@list @t191 @t20 @t169 @t1)) % 2.13/2.36 (define @t507 () (tptp.c_Set_Oinsert @t3 @t38 @t1)) % 2.13/2.36 (define @t508 () (tptp.hBOOL (tptp.c_in @t5 (tptp.c_Set_Oinsert @t3 @t39 @t1) @t1))) % 2.13/2.36 (define @t509 () (tptp.c_lessequals @t379 @t380 @t1)) % 2.13/2.36 (define @t510 () (@list @t20 @t39 @t78 @t79 @t1)) % 2.13/2.36 (define @t511 () (tptp.c_lessequals @t70 @t198 tptp.tc_nat)) % 2.13/2.36 (define @t512 () (tptp.c_lessequals @t307 @t38 @t37)) % 2.13/2.36 (define @t513 () (tptp.c_lessequals @t16 @t70 tptp.tc_nat)) % 2.13/2.36 (define @t514 () (tptp.hBOOL (tptp.c_in @t20 @t287 @t1))) % 2.13/2.36 (define @t515 () (not @t514)) % 2.13/2.36 (define @t516 () (@list @t169 @t20 @t1)) % 2.13/2.36 (define @t517 () (= @t3 @t175)) % 2.13/2.36 (define @t518 () (tptp.c_Set_Oinsert @t3 @t287 @t1)) % 2.13/2.36 (define @t519 () (not (= (tptp.c_Set_Oinsert @t5 @t518 @t1) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t175 @t287 @t1) @t1)))) % 2.13/2.36 (define @t520 () (@list @t5 @t3 @t1 @t2 @t175)) % 2.13/2.36 (define @t521 () (= @t5 @t175)) % 2.13/2.36 (define @t522 () (= @t5 @t2)) % 2.13/2.36 (define @t523 () (@var "V_h" $$unsorted)) % 2.13/2.36 (define @t524 () (@var "V_nat" $$unsorted)) % 2.13/2.36 (define @t525 () (tptp.c_Finite__Set_Ofinite @t329 @t1)) % 2.13/2.36 (define @t526 () (tptp.c_HOL_Ominus__class_Ominus @t198 @t14 tptp.tc_nat)) % 2.13/2.36 (define @t527 () (tptp.c_Set_Oinsert @t22 @t39 @t1)) % 2.13/2.36 (define @t528 () (tptp.hBOOL (tptp.hAPP @t527 @t20))) % 2.13/2.36 (define @t529 () (tptp.hBOOL (tptp.hAPP @t39 @t20))) % 2.13/2.36 (define @t530 () (not @t512)) % 2.13/2.36 (define @t531 () (not (tptp.hBOOL (tptp.c_in @t20 @t39 @t78)))) % 2.13/2.36 (define @t532 () (@var "V_S" $$unsorted)) % 2.13/2.36 (define @t533 () (tptp.hBOOL (tptp.hAPP @t532 @t20))) % 2.13/2.36 (define @t534 () (tptp.hBOOL (tptp.c_in @t20 @t532 @t1))) % 2.13/2.36 (define @t535 () (tptp.c_lessequals @t438 @t437 tptp.tc_nat)) % 2.13/2.36 (define @t536 () (tptp.c_Set_Oimage @t79 @t154 @t78 @t1)) % 2.13/2.36 (define @t537 () (@list @t79 @t20 @t39 @t1 @t78)) % 2.13/2.36 (define @t538 () (@var "V_ts" $$unsorted)) % 2.13/2.36 (define @t539 () (or (= @t329 @t39) @t432)) % 2.13/2.36 (define @t540 () (forall @t341 @t539)) % 2.13/2.36 (define @t541 () (tptp.hBOOL (tptp.c_in @t228 @t342 @t1))) % 2.13/2.36 (define @t542 () (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)) % 2.13/2.36 (define @t543 () (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a)) % 2.13/2.36 (define @t544 () (tptp.c_lessequals tptp.v_G @t543 @t476)) % 2.13/2.36 (define @t545 () (tptp.c_Finite__Set_Ocard @t543 tptp.t_a)) % 2.13/2.36 (define @t546 () (tptp.c_Suc tptp.v_na)) % 2.13/2.36 (define @t547 () (tptp.c_lessequals @t546 @t545 tptp.tc_nat)) % 2.13/2.36 (define @t548 () (tptp.c_HOL_Ominus__class_Ominus @t545 @t546 tptp.tc_nat)) % 2.13/2.36 (define @t549 () (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) % 2.13/2.36 (define @t550 () (tptp.hBOOL (tptp.c_in tptp.v_x tptp.v_U tptp.tc_Com_Opname))) % 2.13/2.36 (define @t551 () (tptp.hAPP tptp.v_mgt__call tptp.v_x)) % 2.13/2.36 (define @t552 () (tptp.c_Set_Oinsert @t551 @t477 tptp.t_a)) % 2.13/2.36 (define @t553 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_G) @t552))) % 2.13/2.36 (define @t554 () (tptp.c_HOL_Ominus__class_Ominus @t545 tptp.v_na tptp.tc_nat)) % 2.13/2.36 (define @t555 () (forall @t500 (or (not (= (tptp.c_Finite__Set_Ocard @t478 tptp.t_a) @t554)) (not (tptp.c_lessequals @t478 @t543 @t476)) @t499 @t497))) % 2.13/2.36 (define @t556 () (@var "T_1" $$unsorted)) % 2.13/2.36 (define @t557 () (@var "T_2" $$unsorted)) % 2.13/2.36 (define @t558 () (tptp.tc_fun @t557 @t556)) % 2.13/2.36 (define @t559 () (@list @t557 @t556)) % 2.13/2.36 (define @t560 () (@var "V_Y" $$unsorted)) % 2.13/2.36 (define @t561 () (not @t550)) % 2.13/2.36 (define @t562 () (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_x) tptp.tc_Com_Ocom)) % 2.13/2.36 (define @t563 () (tptp.v_wt @t562)) % 2.13/2.36 (define @t564 () (or @t563 @t561)) % 2.13/2.36 (define @t565 () (@list false false)) % 2.13/2.36 (define @t566 () (tptp.c_Set_Oinsert @t551 tptp.v_G tptp.t_a)) % 2.13/2.36 (define @t567 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t566) (tptp.c_Set_Oinsert (tptp.v_mgt @t562) @t477 tptp.t_a)))) % 2.13/2.36 (define @t568 () (not @t567)) % 2.13/2.36 (define @t569 () (or @t553 @t568)) % 2.13/2.36 (define @t570 () (@list true false)) % 2.13/2.36 (define @t571 () (not @t563)) % 2.13/2.36 (define @t572 () (tptp.c_lessequals @t566 @t543 @t476)) % 2.13/2.36 (define @t573 () (not @t572)) % 2.13/2.36 (define @t574 () (tptp.c_Finite__Set_Ocard @t566 tptp.t_a)) % 2.13/2.36 (define @t575 () (not (= @t574 @t554))) % 2.13/2.36 (define @t576 () (or @t575 @t573 @t567 @t571)) % 2.13/2.36 (define @t577 () (= @t554 @t574)) % 2.13/2.36 (define @t578 () (not @t577)) % 2.13/2.36 (define @t579 () (or @t578 @t573 @t567 @t571)) % 2.13/2.36 (define @t580 () (@list false)) % 2.13/2.36 (define @t581 () (not @t544)) % 2.13/2.36 (define @t582 () (tptp.c_lessequals @t566 (tptp.c_Set_Oinsert @t551 @t543 tptp.t_a) @t476)) % 2.13/2.36 (define @t583 () (or @t582 @t581)) % 2.13/2.36 (define @t584 () (= tptp.v_U (tptp.c_Set_Oinsert tptp.v_x tptp.v_U tptp.tc_Com_Opname))) % 2.13/2.36 (define @t585 () (or @t584 @t561)) % 2.13/2.36 (define @t586 () (@list @t551 tptp.v_G tptp.t_a)) % 2.13/2.36 (define @t587 () (not @t542)) % 2.13/2.36 (define @t588 () (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) % 2.13/2.36 (define @t589 () (or @t588 @t581 @t587)) % 2.13/2.36 (define @t590 () (@list false false false)) % 2.13/2.36 (define @t591 () (not @t588)) % 2.13/2.36 (define @t592 () (tptp.c_HOL_Ominus__class_Ominus tptp.v_G @t552 @t476)) % 2.13/2.36 (define @t593 () (= @t574 (tptp.c_Suc (tptp.c_Finite__Set_Ocard @t592 tptp.t_a)))) % 2.13/2.37 (define @t594 () (or @t593 @t591)) % 2.13/2.37 (define @t595 () (tptp.hBOOL (tptp.c_in @t551 @t552 tptp.t_a))) % 2.13/2.37 (define @t596 () (not @t595)) % 2.13/2.37 (define @t597 () (tptp.c_HOL_Ominus__class_Ominus @t566 @t552 @t476)) % 2.13/2.37 (define @t598 () (or (= @t592 @t597) @t596)) % 2.13/2.37 (define @t599 () (forall @t309 (or (= @t82 @t308) @t310))) % 2.13/2.37 (define @t600 () (= @t597 @t592)) % 2.13/2.37 (define @t601 () (or @t600 @t596)) % 2.13/2.37 (define @t602 () (tptp.c_Finite__Set_Ocard @t597 tptp.t_a)) % 2.13/2.37 (define @t603 () (tptp.c_lessequals @t552 tptp.v_G @t476)) % 2.13/2.37 (define @t604 () (not @t603)) % 2.13/2.37 (define @t605 () (or @t553 @t604)) % 2.13/2.37 (define @t606 () (tptp.hBOOL (tptp.c_in @t551 tptp.v_G tptp.t_a))) % 2.13/2.37 (define @t607 () (not @t606)) % 2.13/2.37 (define @t608 () (tptp.c_lessequals @t477 tptp.v_G @t476)) % 2.13/2.37 (define @t609 () (not @t608)) % 2.13/2.37 (define @t610 () (or @t603 @t609 @t607)) % 2.13/2.37 (define @t611 () (= tptp.v_G @t597)) % 2.13/2.37 (define @t612 () (or @t611 @t606)) % 2.13/2.37 (define @t613 () (tptp.c_Set_Oimage tptp.v_mgt__call (tptp.c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1 tptp.v_U tptp.v_G tptp.v_mgt__call tptp.tc_Com_Opname tptp.t_a) tptp.tc_Com_Opname tptp.t_a)) % 2.13/2.37 (define @t614 () (= tptp.v_G @t613)) % 2.13/2.37 (define @t615 () (or @t614 @t581 @t591)) % 2.13/2.37 (define @t616 () (tptp.c_Suc @t548)) % 2.13/2.37 (define @t617 () (not @t547)) % 2.13/2.37 (define @t618 () (tptp.c_Suc @t545)) % 2.13/2.37 (define @t619 () (= (tptp.c_HOL_Ominus__class_Ominus @t618 @t546 tptp.tc_nat) @t616)) % 2.13/2.37 (define @t620 () (or @t619 @t617)) % 2.13/2.37 (assume @p1 (forall @t10 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t9))) % 2.13/2.37 (assume @p2 (forall @t10 (or @t12 (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t3 @t11 @t1))))) % 2.13/2.37 (assume @p3 (forall @t10 (or @t12 @t9))) % 2.13/2.37 (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)))) % 2.13/2.37 (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)))) % 2.13/2.37 (assume @p6 (forall @t28 (or @t27 (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t22 @t25 @t1))))) % 2.13/2.37 (assume @p7 (forall @t28 (or @t30 (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t29 @t19 @t1))))) % 2.13/2.37 (assume @p8 (forall @t36 (or @t35 @t34 @t33 @t32))) % 2.13/2.37 (assume @p9 (forall @t45 (or @t44 @t43 @t41))) % 2.13/2.37 (assume @p10 (forall @t51 (or @t50 @t49 @t48 @t47))) % 2.13/2.37 (assume @p11 (forall @t57 (or @t56 (tptp.c_lessequals @t52 @t7 @t1) @t55 @t54))) % 2.13/2.37 (assume @p12 (forall @t60 (or @t56 @t59 @t59 @t58))) % 2.13/2.37 (assume @p13 (= (tptp.c_HOL_Oplus__class_Oplus @t61 @t61 tptp.tc_nat) @t61)) % 2.13/2.37 (assume @p14 (forall @t60 (or @t62 @t58))) % 2.13/2.37 (assume @p15 (forall @t65 (or @t62 @t64 @t54))) % 2.13/2.37 (assume @p16 (forall @t65 (or @t62 @t53 (not @t64)))) % 2.13/2.37 (assume @p17 (forall @t68 (or @t67 (not (tptp.c_HOL_Oord__class_Oless @t14 @t66 tptp.tc_nat))))) % 2.13/2.37 (assume @p18 (forall @t68 (= @t70 (tptp.c_HOL_Oplus__class_Oplus @t14 @t69 tptp.tc_nat)))) % 2.13/2.37 (assume @p19 (forall @t68 (= @t70 (tptp.c_HOL_Oplus__class_Oplus @t69 @t14 tptp.tc_nat)))) % 2.13/2.37 (assume @p20 (= @t71 @t66)) % 2.13/2.37 (assume @p21 (forall @t77 (or @t76 @t12 @t75 @t74 @t73))) % 2.13/2.37 (assume @p22 (forall (@list @t79 @t39 @t38 @t1 @t78) (or (tptp.c_Fun_Oinj__on @t79 @t82 @t1 @t78) @t81))) % 2.13/2.37 (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)))) % 2.13/2.37 (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))) % 2.13/2.37 (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))) % 2.13/2.37 (assume @p26 (forall @t90 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.c_Suc @t89) tptp.tc_nat))) % 2.13/2.37 (assume @p27 (forall (@list @t1 @t78 @t39) (or @t12 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBK @t52 @t1 @t78) @t39 @t78 @t1) @t52)))) % 2.13/2.37 (assume @p28 (forall @t77 (or @t76 @t12 @t91 @t74 @t54))) % 2.13/2.37 (assume @p29 (forall @t77 (or @t76 @t12 @t91 @t92 (not (tptp.c_lessequals @t52 @t2 @t1))))) % 2.13/2.37 (assume @p30 (forall @t24 (or @t95 @t94))) % 2.13/2.37 (assume @p31 (forall @t24 (or @t95 (not (tptp.c_HOL_Oord__class_Oless @t20 @t19 tptp.tc_nat))))) % 2.13/2.37 (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))))) % 2.13/2.37 (assume @p33 (forall @t101 (or (tptp.c_HOL_Oord__class_Oless @t87 @t100 tptp.tc_nat) @t99))) % 2.13/2.37 (assume @p34 (forall @t103 (or (tptp.c_HOL_Oord__class_Oless @t87 @t102 tptp.tc_nat) @t99))) % 2.13/2.37 (assume @p35 (forall (@list @t1 @t5 @t2) (or @t30 (= @t11 @t104)))) % 2.13/2.37 (assume @p36 (forall @t57 (or @t12 (= @t7 @t105)))) % 2.13/2.37 (assume @p37 (forall @t107 (= @t17 @t106))) % 2.13/2.37 (assume @p38 (forall (@list @t16 @t109 @t13 @t14) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t109 tptp.tc_nat) @t111)) @t110 @t108))) % 2.13/2.37 (assume @p39 (forall @t112 (or @t30 (= @t29 (tptp.c_HOL_Oplus__class_Oplus @t22 @t20 @t1))))) % 2.13/2.37 (assume @p40 (forall @t116 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t115 @t114)) @t113))) % 2.13/2.37 (assume @p41 (forall (@list @t1 @t20 @t5) (or @t119 @t118 (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t5 @t1))) @t117))) % 2.13/2.37 (assume @p42 (forall @t107 (or (not (= @t17 @t16)) @t67))) % 2.13/2.37 (assume @p43 (forall (@list @t20 @t5) (or (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t5 tptp.tc_nat))) (= @t5 @t61)))) % 2.13/2.37 (assume @p44 (forall @t112 (or @t56 @t122 @t121 @t120 (= @t22 @t52)))) % 2.13/2.37 (assume @p45 (forall @t112 (or @t56 @t122 @t121 @t120 (= @t20 @t52)))) % 2.13/2.37 (assume @p46 (forall @t107 (or @t124 @t123))) % 2.13/2.37 (assume @p47 (forall @t107 (or @t124 @t67))) % 2.13/2.37 (assume @p48 (forall @t65 (or @t62 (not (= @t63 @t52)) @t117))) % 2.13/2.37 (assume @p49 (= @t69 @t66)) % 2.13/2.37 (assume @p50 (forall @t131 (or (= (tptp.hAPP (tptp.hAPP @t125 @t130) @t2) @t129) @t126))) % 2.13/2.37 (assume @p51 (forall @t131 (or (= @t129 (tptp.hAPP @t127 (tptp.hAPP @t128 @t2))) @t126))) % 2.13/2.37 (assume @p52 (forall (@list @t125 @t5 @t3 @t1) (or (= @t130 (tptp.hAPP @t127 @t5)) @t126))) % 2.13/2.37 (assume @p53 (tptp.c_HOL_Oord__class_Oless @t61 @t66 tptp.tc_nat)) % 2.13/2.37 (assume @p54 (forall @t65 (or @t62 @t134 @t133))) % 2.13/2.37 (assume @p55 (forall @t65 (or @t62 @t132 @t135))) % 2.13/2.37 (assume @p56 (forall @t65 (or @t136 @t132 @t135))) % 2.13/2.37 (assume @p57 (forall @t65 (or @t136 @t134 @t133))) % 2.13/2.37 (assume @p58 (forall @t107 (or @t139 @t138 @t137))) % 2.13/2.37 (assume @p59 (forall @t107 (or @t139 @t123 @t67))) % 2.13/2.37 (assume @p60 (forall @t60 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t140 @t52 @t1))))) % 2.13/2.37 (assume @p61 (forall @t60 (or @t142 (not (= @t140 @t52))))) % 2.13/2.37 (assume @p62 (forall @t57 (or @t56 @t146 @t145 @t144))) % 2.13/2.37 (assume @p63 (forall @t57 (or @t56 @t146 @t147 @t133))) % 2.13/2.37 (assume @p64 (forall @t149 (or @t12 (= (tptp.c_Finite__Set_Osetsum @t79 @t39 @t78 @t1) @t52) @t148))) % 2.13/2.37 (assume @p65 (forall (@list @t78 @t79 @t39 @t1) (or @t152 (= @t151 (tptp.c_HOL_Ozero__class_Ozero @t78)) @t150))) % 2.13/2.37 (assume @p66 (forall @t60 (or @t141 (tptp.c_lessequals @t52 @t140 @t1)))) % 2.13/2.37 (assume @p67 (forall @t107 (or (= @t17 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t153 @t14 tptp.tc_nat))) @t123))) % 2.13/2.37 (assume @p68 (forall @t155 (or @t12 (= (tptp.c_Finite__Set_Osetsum @t79 @t154 @t78 @t1) @t52)))) % 2.13/2.37 (assume @p69 (= @t66 @t71)) % 2.13/2.37 (assume @p70 (forall @t156 (not (tptp.c_HOL_Oord__class_Oless @t20 @t20 @t37)))) % 2.13/2.37 (assume @p71 (forall @t158 (not @t157))) % 2.13/2.37 (assume @p72 (forall @t68 (not (tptp.c_HOL_Oord__class_Oless @t14 @t14 tptp.tc_nat)))) % 2.13/2.37 (assume @p73 (forall @t161 (or @t35 @t160))) % 2.13/2.37 (assume @p74 (forall @t161 (or @t162 @t160))) % 2.13/2.37 (assume @p75 (forall @t161 (or @t50 @t160))) % 2.13/2.37 (assume @p76 (forall @t57 (or @t56 @t164 @t163 @t73))) % 2.13/2.37 (assume @p77 (forall @t60 (or @t141 (not (tptp.c_lessequals @t140 @t52 @t1))))) % 2.13/2.37 (assume @p78 (forall @t166 (or @t136 @t31 @t46 @t165))) % 2.13/2.37 (assume @p79 (forall @t112 (or @t162 @t165 @t31 @t46))) % 2.13/2.37 (assume @p80 (forall @t168 (or @t167 @t108 @t113))) % 2.13/2.37 (assume @p81 (forall (@list @t169 @t14 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t169 @t14) @t16)) @t167 @t113 @t108))) % 2.13/2.37 (assume @p82 (forall (@list @t22 @t20) (or (tptp.c_HOL_Oord__class_Oless @t22 @t20 tptp.tc_nat) @t93 @t165))) % 2.13/2.37 (assume @p83 (forall @t166 (or @t162 @t31 @t46 @t165))) % 2.13/2.37 (assume @p84 (forall @t166 (or @t162 @t31 @t165 @t46))) % 2.13/2.37 (assume @p85 (forall @t112 (or @t162 @t165 @t46 @t31))) % 2.13/2.37 (assume @p86 (forall @t68 (or (= @t172 @t14) @t171))) % 2.13/2.37 (assume @p87 (forall @t68 (or (= @t14 @t172) @t171))) % 2.13/2.37 (assume @p88 (forall @t180 (or @t179 @t178 @t176 @t174))) % 2.13/2.37 (assume @p89 (forall @t183 (or (tptp.c_HOL_Oord__class_Oless @t182 @t181 tptp.tc_nat) @t110 @t99))) % 2.13/2.37 (assume @p90 (forall @t186 (or @t30 (= @t185 (tptp.c_HOL_Oplus__class_Oplus @t11 @t175 @t1))))) % 2.13/2.37 (assume @p91 (forall @t10 (or @t30 (= @t8 (tptp.c_HOL_Oplus__class_Oplus @t11 @t3 @t1))))) % 2.13/2.37 (assume @p92 (forall @t186 (or @t30 (= @t185 (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Oplus__class_Oplus @t5 @t175 @t1) @t1))))) % 2.13/2.37 (assume @p93 (forall @t10 (or @t30 @t9))) % 2.13/2.37 (assume @p94 (forall @t168 (or @t170 @t188 (not @t187)))) % 2.13/2.37 (assume @p95 (forall @t189 (not (tptp.c_HOL_Oord__class_Oless @t16 @t61 tptp.tc_nat)))) % 2.13/2.37 (assume @p96 (forall @t68 (not (tptp.c_HOL_Oord__class_Oless @t14 @t61 tptp.tc_nat)))) % 2.13/2.37 (assume @p97 (forall (@list @t1 @t20 @t22 @t19 @t190) (or @t27 (not (= @t26 (tptp.c_HOL_Oplus__class_Oplus @t22 @t190 @t1))) (= @t25 @t190)))) % 2.13/2.37 (assume @p98 (forall (@list @t169 @t1 @t78 @t191) (= (tptp.hAPP (tptp.c_COMBK @t169 @t1 @t78) @t191) @t169))) % 2.13/2.37 (assume @p99 @t194) % 2.13/2.37 (assume @p100 (= @t66 @t195)) % 2.13/2.37 (assume @p101 (forall @t77 (or @t76 @t12 @t75 @t196 @t54))) % 2.13/2.37 (assume @p102 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t106 tptp.tc_nat) @t61))) % 2.13/2.37 (assume @p103 (forall @t60 (or @t197 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t69 @t1) @t140)))) % 2.13/2.37 (assume @p104 (forall @t60 (or @t142 (not (= @t52 @t140))))) % 2.13/2.37 (assume @p105 (forall @t107 (or @t139 @t138 @t67))) % 2.13/2.37 (assume @p106 (forall @t107 (or @t139 @t123 @t137))) % 2.13/2.37 (assume @p107 (forall @t199 (or @t197 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t198 @t1) (tptp.c_HOL_Oplus__class_Oplus @t140 @t115 @t1))))) % 2.13/2.37 (assume @p108 (forall @t68 (tptp.c_HOL_Oord__class_Oless @t61 @t70 tptp.tc_nat))) % 2.13/2.37 (assume @p109 (forall @t158 (tptp.c_HOL_Oord__class_Oless @t61 @t200 tptp.tc_nat))) % 2.13/2.37 (assume @p110 (forall @t60 (or @t197 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t61 @t1) @t52)))) % 2.13/2.37 (assume @p111 (forall @t57 (or @t56 @t146 @t145 @t133))) % 2.13/2.37 (assume @p112 (forall @t57 (or @t56 @t164 @t163 @t54))) % 2.13/2.37 (assume @p113 (forall @t57 (or @t56 @t164 @t55 @t73))) % 2.13/2.37 (assume @p114 (forall @t24 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t22 tptp.tc_nat) @t21)) @t201))) % 2.13/2.37 (assume @p115 (forall @t203 (or (not (= @t202 @t15)) @t113))) % 2.13/2.37 (assume @p116 (forall @t205 (or (not (= @t204 @t111)) @t113))) % 2.13/2.37 (assume @p117 (forall @t28 (or @t119 @t118 (not (= @t29 @t25)) @t201))) % 2.13/2.37 (assume @p118 (forall @t10 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t207 @t206))) % 2.13/2.37 (assume @p119 (forall @t10 (or @t208 @t207 @t206))) % 2.13/2.37 (assume @p120 (forall @t77 (or @t208 (not (= @t105 @t104)) @t206))) % 2.13/2.37 (assume @p121 (forall @t107 (or @t209 @t138 @t67))) % 2.13/2.37 (assume @p122 (forall @t107 (or @t209 @t123 @t137))) % 2.13/2.37 (assume @p123 (forall (@list @t1 @t5 @t3 @t2 @t175) (or @t30 (= (tptp.c_HOL_Oplus__class_Oplus @t7 @t184 @t1) (tptp.c_HOL_Oplus__class_Oplus @t11 @t177 @t1))))) % 2.13/2.37 (assume @p124 (forall @t199 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t115 @t52 @t1))))) % 2.13/2.37 (assume @p125 (forall @t60 (or @t141 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Oplus__class_Oplus @t140 @t140 @t1) @t1)))) % 2.13/2.37 (assume @p126 (forall @t210 (or @t141 (tptp.c_lessequals @t52 @t114 @t1)))) % 2.13/2.37 (assume @p127 (forall @t199 (or @t141 (tptp.c_lessequals @t52 @t115 @t1)))) % 2.13/2.37 (assume @p128 (forall @t161 (or @t30 (= (tptp.c_HOL_Oplus__class_Oplus @t52 @t20 @t1) @t20)))) % 2.13/2.37 (assume @p129 (forall @t65 (or @t12 @t211))) % 2.13/2.37 (assume @p130 (forall @t158 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t61 tptp.tc_nat)))) % 2.13/2.37 (assume @p131 (forall @t68 (= (tptp.c_HOL_Oplus__class_Oplus @t61 @t14 tptp.tc_nat) @t14))) % 2.13/2.37 (assume @p132 (forall @t189 (= (tptp.c_HOL_Oplus__class_Oplus @t16 @t61 tptp.tc_nat) @t16))) % 2.13/2.37 (assume @p133 (forall @t161 (or @t119 @t118 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t52 @t1))))) % 2.13/2.37 (assume @p134 (forall @t65 (or @t12 @t212))) % 2.13/2.37 (assume @p135 (forall @t65 (or @t213 @t211))) % 2.13/2.37 (assume @p136 (forall @t65 (or @t213 @t212))) % 2.13/2.37 (assume @p137 (forall @t65 (or @t30 @t212))) % 2.13/2.37 (assume @p138 (forall @t65 (or @t30 @t211))) % 2.13/2.37 (assume @p139 (forall @t180 (or @t179 @t178 @t176 @t215))) % 2.13/2.37 (assume @p140 (forall @t180 (or @t179 @t178 @t216 @t174))) % 2.13/2.37 (assume @p141 (forall @t107 (or @t187 @t171))) % 2.13/2.37 (assume @p142 (forall @t107 (or @t187 @t217))) % 2.13/2.37 (assume @p143 (forall @t65 (or @t62 @t72 (not @t218)))) % 2.13/2.37 (assume @p144 (forall @t65 (or @t62 @t218 @t73))) % 2.13/2.37 (assume @p145 (forall @t222 (or (not @t221) @t220))) % 2.13/2.37 (assume @p146 (forall (@list @t2 @t39 @t1 @t38) (or @t223 @t220))) % 2.13/2.37 (assume @p147 (forall @t222 (or @t221 @t224 @t41))) % 2.13/2.37 (assume @p148 (forall @t230 (or @t229 @t227 @t226 @t165 @t81))) % 2.13/2.37 (assume @p149 (forall @t230 (or @t229 @t227 @t226 @t81 @t165))) % 2.13/2.37 (assume @p150 (forall (@list @t79 @t20 @t231 @t39 @t1 @t78) (or (not (= @t228 (tptp.hAPP @t79 @t231))) (not (tptp.hBOOL (tptp.c_in @t231 @t39 @t1))) @t226 @t81 (= @t20 @t231)))) % 2.13/2.37 (assume @p151 (forall @t230 (or @t229 @t81 @t165 @t227 @t226))) % 2.13/2.37 (assume @p152 (forall (@list @t2 @t39 @t38 @t1) (or @t219 @t221 @t224))) % 2.13/2.37 (assume @p153 (forall (@list @t5 @t79 @t38 @t1 @t78) (or @t234 (not @t233)))) % 2.13/2.37 (assume @p154 (forall (@list @t5 @t79 @t39 @t78 @t1) (or (tptp.hBOOL (tptp.c_in @t5 @t235 @t78)) (not (tptp.hBOOL (tptp.c_in @t232 @t39 @t1)))))) % 2.13/2.37 (assume @p155 (forall (@list @t5 @t79 @t38 @t78 @t1) (or (tptp.hBOOL (tptp.c_in @t5 @t236 @t78)) (not (tptp.hBOOL (tptp.c_in @t232 @t38 @t1)))))) % 2.13/2.37 (assume @p156 (forall @t237 (or @t233 (not @t234)))) % 2.13/2.37 (assume @p157 (forall (@list @t79 @t5 @t39 @t78 @t1) (or (tptp.hBOOL (tptp.c_in @t232 @t39 @t78)) (not (tptp.hBOOL (tptp.c_in @t5 @t84 @t1)))))) % 2.13/2.37 (assume @p158 (forall @t112 (or @t162 @t165 @t46 @t239))) % 2.13/2.37 (assume @p159 (forall @t112 (or @t162 @t165 @t239 @t46))) % 2.13/2.37 (assume @p160 (forall @t57 (or @t35 @t173 @t215 @t240))) % 2.13/2.37 (assume @p161 (forall @t57 (or @t35 @t173 @t240 @t215))) % 2.13/2.37 (assume @p162 (forall @t112 (or @t35 @t46 @t165 @t239))) % 2.13/2.37 (assume @p163 (forall @t112 (or @t35 @t165 @t46 @t239))) % 2.13/2.37 (assume @p164 (forall @t242 (or @t35 @t241 @t92 @t240))) % 2.13/2.37 (assume @p165 (forall @t242 (or @t35 @t241 @t240 @t92))) % 2.13/2.37 (assume @p166 (forall (@list @t1 @t5 @t3 @t175 @t2) (or @t243 (tptp.c_lessequals @t5 @t177 @t1) @t216 (not (tptp.c_lessequals @t5 @t4 @t1))))) % 2.13/2.37 (assume @p167 (forall @t51 (or @t50 @t49 @t244 @t47))) % 2.13/2.37 (assume @p168 (forall @t51 (or @t50 @t49 @t48 @t239))) % 2.13/2.37 (assume @p169 (forall @t36 (or @t35 @t34 @t33 @t246))) % 2.13/2.37 (assume @p170 (forall @t36 (or @t35 @t34 @t247 @t32))) % 2.13/2.37 (assume @p171 (forall (@list @t1 @t248 @t79) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1)) (tptp.c_lessequals @t248 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t1) @t1) (not (tptp.c_lessequals @t248 @t249 @t1))))) % 2.13/2.37 (assume @p172 (forall @t253 (or @t252 @t251 @t215))) % 2.13/2.37 (assume @p173 (forall @t255 (or @t252 @t254 @t215))) % 2.13/2.37 (assume @p174 (forall @t10 (or @t76 @t214 (not @t251)))) % 2.13/2.37 (assume @p175 (forall @t253 (or @t76 @t251 @t215))) % 2.13/2.37 (assume @p176 (forall @t10 (or @t76 @t214 (not @t254)))) % 2.13/2.37 (assume @p177 (forall @t255 (or @t76 @t254 @t215))) % 2.13/2.37 (assume @p178 (forall @t112 (or @t50 @t238 @t47))) % 2.13/2.37 (assume @p179 (forall @t112 (or @t35 @t238 @t47))) % 2.13/2.37 (assume @p180 (forall @t112 (or @t50 @t46 @t245 @t239))) % 2.13/2.37 (assume @p181 (forall @t180 (or @t252 (tptp.c_lessequals @t11 @t177 @t1) @t216 @t215))) % 2.13/2.37 (assume @p182 (forall @t112 (or @t162 @t46 @t245))) % 2.13/2.37 (assume @p183 (forall @t161 (or @t162 (not @t256) @t160))) % 2.13/2.37 (assume @p184 (forall @t161 (or @t162 @t159 @t256))) % 2.13/2.37 (assume @p185 (forall @t112 (or @t162 @t47 @t246))) % 2.13/2.37 (assume @p186 (forall @t166 (or @t162 @t245 @t46))) % 2.13/2.37 (assume @p187 (forall @t112 (or @t162 @t239 @t32))) % 2.13/2.37 (assume @p188 (forall @t166 (or @t162 @t31 @t238))) % 2.13/2.37 (assume @p189 (forall @t57 (or @t243 @t173 (not @t258)))) % 2.13/2.37 (assume @p190 (forall @t57 (or @t243 @t258 @t174))) % 2.13/2.37 (assume @p191 (forall @t116 (or @t141 @t260 @t259))) % 2.13/2.37 (assume @p192 (forall @t116 (or @t141 @t108 (not @t260)))) % 2.13/2.37 (assume @p193 (forall @t60 (or @t141 (tptp.c_HOL_Oord__class_Oless @t52 @t140 @t1)))) % 2.13/2.37 (assume @p194 (forall @t65 (or @t141 (tptp.c_HOL_Oord__class_Oless @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t140 @t1) @t1)))) % 2.13/2.37 (assume @p195 (forall @t210 (or @t141 @t261 @t171))) % 2.13/2.37 (assume @p196 (forall @t210 (or @t141 @t170 (not @t261)))) % 2.13/2.37 (assume @p197 (forall @t68 (or @t170 @t67))) % 2.13/2.37 (assume @p198 (not (tptp.c_HOL_Oord__class_Oless @t61 @t61 tptp.tc_nat))) % 2.13/2.37 (assume @p199 (forall @t77 (or @t141 @t75 @t196 @t73))) % 2.13/2.37 (assume @p200 (forall @t65 (or @t62 @t262 @t144))) % 2.13/2.37 (assume @p201 (forall @t65 (or @t62 @t143 (not @t262)))) % 2.13/2.37 (assume @p202 (forall @t263 (not (tptp.c_HOL_Oord__class_Oless @t97 @t87 tptp.tc_nat)))) % 2.13/2.37 (assume @p203 (forall (@list @t96 @t87) (not (tptp.c_HOL_Oord__class_Oless @t264 @t87 tptp.tc_nat)))) % 2.13/2.37 (assume @p204 (forall @t98 (or @t267 (not @t266)))) % 2.13/2.37 (assume @p205 (forall @t268 (or @t266 (not @t267)))) % 2.13/2.37 (assume @p206 (forall @t255 (or @t179 @t269 @t174))) % 2.13/2.37 (assume @p207 (forall @t255 (or @t76 @t269 @t174))) % 2.13/2.37 (assume @p208 (forall @t10 (or @t76 @t173 (not @t269)))) % 2.13/2.37 (assume @p209 (forall @t253 (or @t179 @t270 @t174))) % 2.13/2.37 (assume @p210 (forall @t253 (or @t76 @t270 @t174))) % 2.13/2.37 (assume @p211 (forall @t10 (or @t76 @t173 (not @t270)))) % 2.13/2.37 (assume @p212 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t182 @t271 tptp.tc_nat) @t99))) % 2.13/2.37 (assume @p213 (forall @t18 (or @t108 (not @t272)))) % 2.13/2.37 (assume @p214 (forall @t205 (or @t272 @t259))) % 2.13/2.37 (assume @p215 (forall @t57 (or @t56 (tptp.c_lessequals @t7 @t52 @t1) @t147 @t144))) % 2.13/2.37 (assume @p216 (forall (@list @t169 @t5 @t3) (or (tptp.hBOOL (tptp.hAPP @t169 @t61)) @t273 (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_HOL_Ominus__class_Ominus @t5 @t3 tptp.tc_nat))))))) % 2.13/2.37 (assume @p217 (= @t195 @t66)) % 2.13/2.37 (assume @p218 (forall @t107 (or @t108 (not @t275)))) % 2.13/2.37 (assume @p219 (forall @t168 (or @t275 @t259))) % 2.13/2.37 (assume @p220 (forall (@list @t39 @t79 @t20 @t1 @t78) (or @t277 (not @t276)))) % 2.13/2.37 (assume @p221 (forall (@list @t79 @t39 @t1 @t78 @t20) (or @t276 (not @t277)))) % 2.13/2.37 (assume @p222 (forall @t116 (or @t197 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17 @t1) (tptp.c_HOL_Oplus__class_Oplus @t115 @t114 @t1))))) % 2.13/2.37 (assume @p223 (forall @t107 (or (tptp.c_HOL_Oord__class_Oless @t278 @t16 tptp.tc_nat) @t217 @t171))) % 2.13/2.37 (assume @p224 (forall @t168 (or @t279 @t108))) % 2.13/2.37 (assume @p225 (forall @t107 (or @t209 @t138 @t137))) % 2.13/2.37 (assume @p226 (forall @t107 (or @t209 @t123 @t67))) % 2.13/2.37 (assume @p227 (forall @t57 (or @t35 @t174 @t280))) % 2.13/2.37 (assume @p228 (forall @t112 (or @t162 @t47 @t32))) % 2.13/2.37 (assume @p229 (forall @t166 (or @t50 @t32 @t47))) % 2.13/2.37 (assume @p230 (forall @t242 (or @t50 @t280 @t174))) % 2.13/2.37 (assume @p231 (forall (@list @t78 @t79 @t5 @t281 @t1) (or @t152 (= (tptp.c_Finite__Set_Osetsum @t79 (tptp.c_Set_Oinsert @t5 @t281 @t1) @t1 @t78) (tptp.c_HOL_Oplus__class_Oplus @t232 (tptp.c_Finite__Set_Osetsum @t79 @t281 @t1 @t78) @t78)) (tptp.hBOOL (tptp.c_in @t5 @t281 @t1)) @t282))) % 2.13/2.37 (assume @p232 (forall @t291 (or @t290 @t226 @t286 @t285))) % 2.13/2.37 (assume @p233 (forall @t293 (or @t284 @t226 @t292 @t286))) % 2.13/2.37 (assume @p234 (forall @t293 (or @t284 @t226 @t292 @t41))) % 2.13/2.37 (assume @p235 (forall (@list @t78 @t79 @t39 @t38 @t1) (or @t296 (= (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)) @t295 @t294))) % 2.13/2.37 (assume @p236 (forall @t293 (or @t284 @t298 @t292 @t41))) % 2.13/2.37 (assume @p237 (forall @t302 (or @t301 @t294 @t299))) % 2.13/2.37 (assume @p238 (forall @t193 (or @t40 (not @t305) @t298 @t303))) % 2.13/2.37 (assume @p239 (forall @t57 (or @t243 @t214 (not @t306)))) % 2.13/2.37 (assume @p240 (forall @t57 (or @t243 @t306 @t215))) % 2.13/2.37 (assume @p241 (forall @t309 (or (= @t308 (tptp.c_Set_Oinsert @t20 @t82 @t1)) @t286))) % 2.13/2.37 (assume @p242 @t312) % 2.13/2.37 (assume @p243 (forall @t313 (or @t40 @t310 @t285))) % 2.13/2.37 (assume @p244 (forall @t293 (or @t284 @t310 @t41))) % 2.13/2.37 (assume @p245 (forall (@list @t5 @t79 @t1 @t248) (or (tptp.hBOOL (tptp.c_in @t5 (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t37) @t1)) (not (tptp.c_lessequals @t248 @t249 @t37)) @t314))) % 2.13/2.37 (assume @p246 (forall @t319 (or @t296 (= @t318 @t151) @t315 @t294))) % 2.13/2.37 (assume @p247 (forall @t325 (or @t324 (not (tptp.hBOOL (tptp.c_in @t323 @t322 @t1))) @t321 @t320 @t282))) % 2.13/2.37 (assume @p248 (forall @t116 (or @t141 @t328 @t327))) % 2.13/2.37 (assume @p249 (forall @t116 (or @t141 @t326 (not @t328)))) % 2.13/2.37 (assume @p250 (forall @t293 (or @t284 @t298 @t292 @t286))) % 2.13/2.37 (assume @p251 (forall @t333 (or (not @t332) @t331))) % 2.13/2.37 (assume @p252 (forall @t333 (or @t330 @t332 @t81))) % 2.13/2.37 (assume @p253 (forall (@list @t39 @t38 @t1 @t5) (or @t337 (not @t336)))) % 2.13/2.37 (assume @p254 (forall @t339 (or @t336 @t338))) % 2.13/2.37 (assume @p255 (forall @t341 (= @t340 @t329))) % 2.13/2.37 (assume @p256 (forall @t65 (or @t162 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t316 @t1) @t5)))) % 2.13/2.37 (assume @p257 (forall @t339 (= @t335 (tptp.c_HOL_Ominus__class_Ominus @t82 @t316 @t37)))) % 2.13/2.37 (assume @p258 (forall @t339 (= @t335 (tptp.c_HOL_Ominus__class_Ominus @t317 @t38 @t37)))) % 2.13/2.37 (assume @p259 (forall @t65 (or @t162 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t316 @t1) @t5)))) % 2.13/2.37 (assume @p260 (forall @t325 (or @t324 (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_Set_Oinsert @t323 @t322 @t1)))) @t321 @t320 @t282))) % 2.13/2.37 (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 @t342 @t1))))) % 2.13/2.37 (assume @p262 (forall (@list @t2 @t1 @t78) (= (tptp.c_Set_Oimage @t343 @t154 @t78 @t1) @t287))) % 2.13/2.37 (assume @p263 (forall @t158 (or (not @t345) @t344))) % 2.13/2.37 (assume @p264 (forall @t107 (or @t326 @t347))) % 2.13/2.37 (assume @p265 (forall @t107 (or @t346 @t327))) % 2.13/2.37 (assume @p266 (forall @t107 (or @t348 @t259))) % 2.13/2.37 (assume @p267 (forall @t107 (or @t108 @t349))) % 2.13/2.37 (assume @p268 (forall @t168 (or @t350 (not @t167)))) % 2.13/2.37 (assume @p269 (forall @t168 (or @t167 @t351))) % 2.13/2.37 (assume @p270 (forall @t168 (or @t354 @t353 @t327))) % 2.13/2.37 (assume @p271 (forall (@list @t78 @t39 @t38) (or (not (tptp.class_HOL_Ominus @t78)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t39 @t38 @t355) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t39 tptp.v_x) (tptp.hAPP @t38 tptp.v_x) @t78))))) % 2.13/2.37 (assume @p272 (forall @t357 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t342 @t356 @t37) (tptp.c_Set_Oimage @t79 @t86 @t78 @t1) @t37))) % 2.13/2.37 (assume @p273 (forall @t358 (tptp.c_lessequals (tptp.c_Set_Oimage @t79 @t235 @t78 @t1) @t39 @t37))) % 2.13/2.37 (assume @p274 (forall @t302 (or @t359 @t150))) % 2.13/2.37 (assume @p275 (forall @t60 (= @t360 @t61))) % 2.13/2.37 (assume @p276 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t70 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t153 @t14 tptp.tc_nat)))) % 2.13/2.37 (assume @p277 (forall @t107 (tptp.c_HOL_Oord__class_Oless @t278 @t198 tptp.tc_nat))) % 2.13/2.37 (assume @p278 @t362) % 2.13/2.37 (assume @p279 (forall @t18 (or (tptp.c_lessequals @t16 (tptp.c_HOL_Ominus__class_Ominus @t106 @t13 tptp.tc_nat) tptp.tc_nat) @t364))) % 2.13/2.37 (assume @p280 (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)) @t273))) % 2.13/2.37 (assume @p281 (forall @t107 (or @t366 @t326))) % 2.13/2.37 (assume @p282 (forall @t107 (or @t365 @t327))) % 2.13/2.37 (assume @p283 (forall @t98 (or @t369 (not @t368) @t367))) % 2.13/2.37 (assume @p284 (forall @t268 (or @t368 (not @t369) @t367))) % 2.13/2.37 (assume @p285 (forall @t372 (or @t371 (not @t370)))) % 2.13/2.37 (assume @p286 (forall @t373 (or @t370 (not @t371)))) % 2.13/2.37 (assume @p287 (forall @t268 (or (= @t375 @t374) @t367))) % 2.13/2.37 (assume @p288 (forall @t372 (or (= @t377 @t376) @t367))) % 2.13/2.37 (assume @p289 (forall @t166 (or @t50 @t246 @t47))) % 2.13/2.37 (assume @p290 (forall (@list @t2 @t78 @t1 @t39) (or (= (tptp.c_Set_Ovimage @t378 @t39 @t1 @t78) @t287) (tptp.hBOOL (tptp.c_in @t2 @t39 @t78))))) % 2.13/2.37 (assume @p291 (forall @t385 (or @t243 @t384 @t46 (not @t381)))) % 2.13/2.37 (assume @p292 (forall @t385 (or @t243 @t384 @t381 @t47))) % 2.13/2.37 (assume @p293 (forall @t161 (or @t119 @t118 @t387))) % 2.13/2.37 (assume @p294 (forall @t65 (or @t388 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1) @t52)))) % 2.13/2.37 (assume @p295 (forall @t65 (or @t388 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t52 @t1) @t5)))) % 2.13/2.37 (assume @p296 (forall @t161 (or @t388 @t387))) % 2.13/2.37 (assume @p297 (forall @t161 (or @t27 @t387))) % 2.13/2.37 (assume @p298 (forall @t57 (or @t388 (= (tptp.c_HOL_Oplus__class_Oplus @t257 @t3 @t1) @t5)))) % 2.13/2.37 (assume @p299 (forall @t112 (or @t119 @t118 (not (= @t383 @t52)) @t165))) % 2.13/2.37 (assume @p300 (forall @t57 (or @t388 @t389 @t240))) % 2.13/2.37 (assume @p301 (forall @t57 (or @t27 @t389 @t240))) % 2.13/2.37 (assume @p302 (forall @t57 (or @t388 (= (tptp.c_HOL_Ominus__class_Ominus @t7 @t3 @t1) @t5)))) % 2.13/2.37 (assume @p303 (forall @t193 (or @t337 @t294 @t303))) % 2.13/2.37 (assume @p304 (forall @t390 (or @t150 @t338 @t303))) % 2.13/2.37 (assume @p305 (forall @t193 (or @t337 @t294))) % 2.13/2.37 (assume @p306 (forall @t391 (= (tptp.c_Set_Ovimage @t79 @t154 @t1 @t78) @t287))) % 2.13/2.37 (assume @p307 (forall @t392 (= (tptp.c_HOL_Ominus__class_Ominus @t287 @t39 @t37) @t287))) % 2.13/2.37 (assume @p308 (forall @t302 (not (tptp.c_HOL_Oord__class_Oless @t39 @t287 @t37)))) % 2.13/2.37 (assume @p309 (forall @t302 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t39 @t37) @t287))) % 2.13/2.37 (assume @p310 (forall @t302 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t287 @t37) @t39))) % 2.13/2.37 (assume @p311 (forall (@list @t79 @t1 @t78) (tptp.c_Fun_Oinj__on @t79 @t287 @t1 @t78))) % 2.13/2.37 (assume @p312 (forall @t107 (or @t346 @t259))) % 2.13/2.37 (assume @p313 (forall @t107 (or @t108 (not @t393)))) % 2.13/2.37 (assume @p314 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t395 @t13 tptp.tc_nat) @t394 @t99))) % 2.13/2.37 (assume @p315 (forall @t158 @t344)) % 2.13/2.37 (assume @p316 (forall @t68 (tptp.c_HOL_Oord__class_Oless @t14 @t70 tptp.tc_nat))) % 2.13/2.37 (assume @p317 (forall @t189 (not (= @t198 @t61)))) % 2.13/2.37 (assume @p318 (forall @t398 (not (= @t397 @t61)))) % 2.13/2.37 (assume @p319 (forall @t168 (or @t354 @t353 @t167))) % 2.13/2.37 (assume @p320 (forall @t107 (or @t113 @t353 @t167))) % 2.13/2.37 (assume @p321 (forall @t107 (or @t113 @t108 @t347))) % 2.13/2.37 (assume @p322 (forall @t189 (not (= @t61 @t198)))) % 2.13/2.37 (assume @p323 (forall @t398 (not (= @t61 @t397)))) % 2.13/2.37 (assume @p324 (forall @t107 (= @t400 @t399))) % 2.13/2.37 (assume @p325 (forall @t107 (= @t401 @t399))) % 2.13/2.37 (assume @p326 (forall @t107 (= @t400 @t401))) % 2.13/2.37 (assume @p327 (forall @t107 (or @t393 (= @t198 @t14) @t259))) % 2.13/2.37 (assume @p328 (forall @t158 (or @t157 @t344))) % 2.13/2.37 (assume @p329 (forall @t107 (or @t259 @t353))) % 2.13/2.37 (assume @p330 (forall @t168 (or @t352 @t108))) % 2.13/2.37 (assume @p331 (forall (@list @t20 @t14) (or (tptp.c_HOL_Oord__class_Oless @t200 @t70 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t20 @t14 tptp.tc_nat))))) % 2.13/2.37 (assume @p332 (forall @t107 (or @t108 (not @t402)))) % 2.13/2.37 (assume @p333 (forall @t107 (or @t402 @t259))) % 2.13/2.37 (assume @p334 (forall (@list @t79 @t39 @t1 @t78 @t5) (or @t80 @t331))) % 2.13/2.37 (assume @p335 (forall @t409 (or @t408 @t407 @t406))) % 2.13/2.37 (assume @p336 (forall @t409 (or @t408 @t405 @t411 @t410))) % 2.13/2.37 (assume @p337 (forall (@list @t78 @t404 @t79 @t1) (or @t408 (not @t411) @t406))) % 2.13/2.37 (assume @p338 (forall @t193 (or @t412 @t40 @t298))) % 2.13/2.37 (assume @p339 (forall @t193 (or @t40 @t412 @t298))) % 2.13/2.37 (assume @p340 (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) @t413 @t298))) % 2.13/2.37 (assume @p341 (forall @t45 (or @t44 @t43 @t298))) % 2.13/2.37 (assume @p342 (forall @t45 (or @t44 @t413 @t41))) % 2.13/2.37 (assume @p343 (forall @t414 (or @t80 @t298 (not (tptp.c_Fun_Oinj__on @t79 @t38 @t1 @t78))))) % 2.13/2.37 (assume @p344 (forall @t193 (or @t297 @t41))) % 2.13/2.37 (assume @p345 (forall (@list @t39 @t38 @t1 @t42 @t417) (or (tptp.c_lessequals @t82 (tptp.c_HOL_Ominus__class_Ominus @t42 @t417 @t37) @t37) (not (tptp.c_lessequals @t417 @t38 @t37)) @t416))) % 2.13/2.37 (assume @p346 (forall @t193 (tptp.c_lessequals @t82 @t39 @t37))) % 2.13/2.37 (assume @p347 (forall @t357 (or (tptp.c_lessequals @t235 @t236 @t85) @t298))) % 2.13/2.37 (assume @p348 (forall (@list @t79 @t39 @t38 @t1 @t78 @t42) (or (= (tptp.c_Set_Oimage @t79 @t82 @t1 @t78) (tptp.c_HOL_Ominus__class_Ominus @t419 @t418 @t85)) @t413 @t416 (not (tptp.c_Fun_Oinj__on @t79 @t42 @t1 @t78))))) % 2.13/2.37 (assume @p349 (forall @t390 (or @t305 @t41 @t303))) % 2.13/2.37 (assume @p350 (forall @t302 (or @t150 (not @t301)))) % 2.13/2.37 (assume @p351 (forall @t60 (not (tptp.c_HOL_Oord__class_Oless @t61 @t360 tptp.tc_nat)))) % 2.13/2.37 (assume @p352 (forall @t107 (or @t108 @t113 @t327))) % 2.13/2.37 (assume @p353 (forall @t107 (or @t113 @t108 @t327))) % 2.13/2.37 (assume @p354 (tptp.c_lessequals @t61 @t61 tptp.tc_nat)) % 2.13/2.37 (assume @p355 (forall @t205 (or @t420 @t327))) % 2.13/2.37 (assume @p356 (forall @t18 (or @t326 (not @t420)))) % 2.13/2.37 (assume @p357 (forall @t98 (or (tptp.c_lessequals @t182 @t271 tptp.tc_nat) @t421))) % 2.13/2.37 (assume @p358 (forall @t107 (or @t326 @t259))) % 2.13/2.37 (assume @p359 (forall @t423 (or @t422 @t94))) % 2.13/2.37 (assume @p360 (forall @t90 (tptp.c_lessequals @t16 @t89 tptp.tc_nat))) % 2.13/2.37 (assume @p361 (forall @t168 (tptp.c_lessequals @t14 @t17 tptp.tc_nat))) % 2.13/2.37 (assume @p362 (forall @t168 (tptp.c_lessequals @t14 @t106 tptp.tc_nat))) % 2.13/2.37 (assume @p363 (forall @t68 (or @t67 (not (tptp.c_lessequals @t14 @t61 tptp.tc_nat))))) % 2.13/2.37 (assume @p364 (forall @t183 (or (tptp.c_lessequals @t182 @t181 tptp.tc_nat) (not (tptp.c_lessequals @t13 @t109 tptp.tc_nat)) @t421))) % 2.13/2.37 (assume @p365 (forall @t103 (or (tptp.c_lessequals @t87 @t102 tptp.tc_nat) @t421))) % 2.13/2.37 (assume @p366 (forall @t101 (or (tptp.c_lessequals @t87 @t100 tptp.tc_nat) @t421))) % 2.13/2.37 (assume @p367 (forall (@list @t13 @t14 @t16) (or @t363 @t424))) % 2.13/2.37 (assume @p368 (forall @t18 (or @t326 @t424))) % 2.13/2.37 (assume @p369 (forall @t24 (or @t425 (not (tptp.c_lessequals @t20 @t19 tptp.tc_nat))))) % 2.13/2.37 (assume @p370 (forall @t24 (or @t425 (not @t422)))) % 2.13/2.37 (assume @p371 (forall @t68 (tptp.c_lessequals @t61 @t14 tptp.tc_nat))) % 2.13/2.37 (assume @p372 (forall @t426 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t14 @t395 tptp.tc_nat) @t14 tptp.tc_nat) @t171))) % 2.13/2.37 (assume @p373 (forall @t68 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t14 @t66 tptp.tc_nat)) @t14) @t171))) % 2.13/2.37 (assume @p374 (forall @t168 (or (not (= @t274 @t61)) @t366 @t113))) % 2.13/2.37 (assume @p375 (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) @t394))) % 2.13/2.37 (assume @p376 (forall @t189 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t61 tptp.tc_nat) @t16))) % 2.13/2.37 (assume @p377 (forall @t189 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 tptp.tc_nat) @t61))) % 2.13/2.37 (assume @p378 (forall @t429 (or (tptp.c_HOL_Oord__class_Oless @t428 @t427 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t16 @t109 tptp.tc_nat)) @t259))) % 2.13/2.37 (assume @p379 (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)))) @t430))) % 2.13/2.37 (assume @p380 (forall (@list @t169 @t3 @t175) (or (not (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t3 @t175 tptp.tc_nat) @t3 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t169 @t175))))) % 2.13/2.37 (assume @p381 (forall @t268 (= @t431 (tptp.c_HOL_Ominus__class_Ominus @t87 @t271 tptp.tc_nat)))) % 2.13/2.37 (assume @p382 (forall @t68 (= (tptp.c_HOL_Ominus__class_Ominus @t61 @t14 tptp.tc_nat) @t61))) % 2.13/2.37 (assume @p383 (forall @t203 (= (tptp.c_HOL_Ominus__class_Ominus @t202 @t15 tptp.tc_nat) @t278))) % 2.13/2.37 (assume @p384 (forall @t205 (= (tptp.c_HOL_Ominus__class_Ominus @t204 @t111 tptp.tc_nat) @t278))) % 2.13/2.37 (assume @p385 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t14 tptp.tc_nat) @t16))) % 2.13/2.37 (assume @p386 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t106 @t14 tptp.tc_nat) @t16))) % 2.13/2.37 (assume @p387 (forall (@list @t78 @t79 @t39 @t1 @t5) (or @t152 (= @t151 (tptp.c_HOL_Oplus__class_Oplus @t232 @t318 @t78)) @t432 @t294))) % 2.13/2.37 (assume @p388 (forall @t268 (or (= (tptp.c_HOL_Ominus__class_Ominus @t87 @t265 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t182 @t96 tptp.tc_nat)) @t367))) % 2.13/2.37 (assume @p389 (forall (@list @t87 @t13) (or (not (tptp.c_lessequals @t87 @t433 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t433 @t87 tptp.tc_nat) @t13)))) % 2.13/2.37 (assume @p390 (forall @t263 (or @t421 (= @t96 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t96 @t87 tptp.tc_nat) @t87 tptp.tc_nat))))) % 2.13/2.37 (assume @p391 (forall @t168 (or @t279 @t435))) % 2.13/2.37 (assume @p392 (forall @t107 (or (= (tptp.c_HOL_Oplus__class_Oplus @t278 @t14 tptp.tc_nat) @t16) @t435))) % 2.13/2.37 (assume @p393 (forall @t268 (or (= @t374 @t375) @t367))) % 2.13/2.37 (assume @p394 (forall @t373 (or (= @t376 @t377) @t367))) % 2.13/2.37 (assume @p395 (forall @t18 (or @t108 (not @t439) @t364 @t436))) % 2.13/2.37 (assume @p396 (forall @t203 (or @t439 @t259 @t364 @t436))) % 2.13/2.37 (assume @p397 (forall @t442 (or @t441 @t81))) % 2.13/2.37 (assume @p398 (forall @t319 (or @t296 @t443 @t432 @t294))) % 2.13/2.37 (assume @p399 (forall @t319 (or (not (tptp.class_Ring__and__Field_Oring @t78)) @t443 @t432 @t294))) % 2.13/2.37 (assume @p400 (forall (@list @t39 @t20 @t1 @t22) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t289 (tptp.c_Set_Oinsert @t22 @t287 @t1) @t37) @t1) @t300 tptp.tc_nat) @t227 @t226 @t294))) % 2.13/2.37 (assume @p401 (forall @t445 (or (tptp.c_HOL_Oord__class_Oless @t444 @t300 tptp.tc_nat) @t226 @t294))) % 2.13/2.37 (assume @p402 (forall @t339 (or (= (tptp.c_Finite__Set_Ocard @t335 @t1) (tptp.c_HOL_Ominus__class_Ominus @t447 @t69 tptp.tc_nat)) @t446 @t432 @t294))) % 2.13/2.37 (assume @p403 (forall (@list @t448) (or (tptp.v_wt @t449) (not (tptp.hBOOL (tptp.c_in @t448 tptp.v_U tptp.tc_Com_Opname)))))) % 2.13/2.37 (assume @p404 (forall (@list @t1 @t39 @t20) (or @t162 (tptp.c_lessequals @t450 @t20 @t1) @t226 @t294))) % 2.13/2.37 (assume @p405 (forall (@list @t1 @t20 @t39) (or @t162 (tptp.c_lessequals @t20 @t451 @t1) @t226 @t294))) % 2.13/2.37 (assume @p406 (forall @t392 (or @t162 (tptp.hBOOL (tptp.c_in @t451 @t39 @t1)) @t299 @t294))) % 2.13/2.37 (assume @p407 (forall @t392 (or @t162 (tptp.hBOOL (tptp.c_in @t450 @t39 @t1)) @t299 @t294))) % 2.13/2.37 (assume @p408 @t455) % 2.13/2.37 (assume @p409 (forall (@list @t20 @t231 @t78 @t125 @t1) (or (not (= (tptp.c_Set_Oinsert @t20 @t231 @t78) @t154)) (tptp.hBOOL (tptp.c_in @t20 @t231 @t78)) @t126))) % 2.13/2.37 (assume @p410 (forall (@list @t5 @t79 @t1 @t456) (tptp.hBOOL (tptp.c_in @t5 (tptp.c_Set_Ovimage @t79 (tptp.c_Set_Oinsert @t232 @t287 @t1) @t456 @t1) @t456)))) % 2.13/2.37 (assume @p411 (forall (@list @t79 @t5 @t3 @t78 @t1) (or (= @t232 @t3) (not (tptp.hBOOL (tptp.c_in @t5 (tptp.c_Set_Ovimage @t79 (tptp.c_Set_Oinsert @t3 @t154 @t78) @t1 @t78) @t1)))))) % 2.13/2.37 (assume @p412 (forall @t341 (or (= @t340 @t39) @t432))) % 2.13/2.37 (assume @p413 (forall @t313 (or @t297 @t225 @t286 @t285))) % 2.13/2.37 (assume @p414 (forall @t293 (or @t284 @t298 @t225 @t286))) % 2.13/2.37 (assume @p415 (forall @t293 (or @t284 @t298 @t225 @t41))) % 2.13/2.37 (assume @p416 (forall (@list @t1 @t79 @t14 @t458) (or @t35 (tptp.c_lessequals (tptp.hAPP @t79 @t14) (tptp.hAPP @t79 @t458) @t1) (not (tptp.c_lessequals @t14 @t458 tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t79 @t457) (tptp.hAPP @t79 (tptp.c_Suc @t457)) @t1))))) % 2.13/2.37 (assume @p417 (forall @t325 (or @t324 (tptp.hBOOL (tptp.hAPP @t169 @t322)) @t321 @t320 @t282))) % 2.13/2.37 (assume @p418 (forall @t325 (or @t324 (tptp.c_Finite__Set_Ofinite @t322 @t1) @t321 @t320 @t282))) % 2.13/2.37 (assume @p419 (forall @t414 (or @t460 (tptp.hBOOL (tptp.c_in @t459 @t39 @t1))))) % 2.13/2.37 (assume @p420 (forall @t357 (or @t462 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP @t79 @t461) @t38 @t1)))))) % 2.13/2.37 (assume @p421 (forall @t357 (or @t462 (tptp.hBOOL (tptp.c_in @t461 @t39 @t78))))) % 2.13/2.37 (assume @p422 (forall (@list @t404 @t5 @t79 @t78 @t248 @t1) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t404 @t5) (tptp.c_Inductive_Ocomplete__lattice__class_Ogfp @t79 @t85) @t78)) (not (tptp.c_lessequals @t463 (tptp.hAPP @t79 @t463) @t85)) @t314))) % 2.13/2.37 (assume @p423 (forall @t414 (or @t460 (not (tptp.hBOOL (tptp.c_in (tptp.hAPP @t79 @t459) @t38 @t78)))))) % 2.13/2.37 (assume @p424 (forall @t293 (or @t466 @t298 @t465))) % 2.13/2.37 (assume @p425 (forall @t445 (or (= @t444 (tptp.c_HOL_Ominus__class_Ominus @t300 @t69 tptp.tc_nat)) @t226 @t294))) % 2.13/2.37 (assume @p426 (forall (@list @t2 @t1 @t78 @t39) (or (= (tptp.c_Set_Oimage @t343 @t39 @t78 @t1) (tptp.c_Set_Oinsert @t2 @t287 @t1)) @t467))) % 2.13/2.37 (assume @p427 (forall @t470 (or @t469 (not (tptp.c_lessequals @t39 @t468 @t37)) @t294))) % 2.13/2.37 (assume @p428 (forall (@list @t38 @t79 @t39 @t78 @t1) (or (= @t38 (tptp.c_Set_Oimage @t79 @t472 @t78 @t1)) @t471 @t303))) % 2.13/2.37 (assume @p429 (forall @t473 (or (tptp.c_Finite__Set_Ofinite @t472 @t78) @t471 @t303))) % 2.13/2.37 (assume @p430 (forall @t470 (or (= @t468 @t39) (not @t469) (not (tptp.c_lessequals @t468 @t39 @t37)) @t294))) % 2.13/2.37 (assume @p431 (forall @t473 (or (tptp.c_lessequals @t472 @t39 @t85) @t471 @t303))) % 2.13/2.37 (assume @p432 (forall @t302 (or (not @t359) @t294 @t299))) % 2.13/2.37 (assume @p433 (forall @t116 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t278 @t1) (tptp.c_HOL_Ominus__class_Ominus @t115 @t114 @t1)) @t435))) % 2.13/2.37 (assume @p434 (forall @t442 (or (not @t441) @t294 @t80))) % 2.13/2.37 (assume @p435 (forall @t442 (or @t441 @t81 @t294))) % 2.13/2.37 (assume @p436 (forall (@list @t96 @t13 @t16) (or (= (tptp.c_HOL_Ominus__class_Ominus @t475 @t16 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t474 @t204 tptp.tc_nat)) @t367))) % 2.13/2.37 (assume @p437 (forall (@list @t16 @t96 @t13) (or (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t475 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t202 @t474 tptp.tc_nat)) @t367))) % 2.13/2.37 (assume @p438 (forall (@list @t478 @t448) (or (tptp.hBOOL (tptp.hAPP @t480 (tptp.c_Set_Oinsert @t479 @t477 tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P (tptp.c_Set_Oinsert @t479 @t478 tptp.t_a)) (tptp.c_Set_Oinsert (tptp.v_mgt @t449) @t477 tptp.t_a))))))) % 2.13/2.37 (assume @p439 (forall @t325 (or @t324 (tptp.hBOOL (tptp.c_in @t323 @t39 @t1)) @t321 @t320 @t282))) % 2.13/2.37 (assume @p440 (forall (@list @t1 @t482 @t481) (or @t162 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t482 @t1) (tptp.c_Finite__Set_Olinorder__class_OMax @t481 @t1) @t1) @t485 @t484 @t483))) % 2.13/2.37 (assume @p441 (forall (@list @t1 @t481 @t482) (or @t162 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t481 @t1) (tptp.c_Finite__Set_Olinorder__class_OMin @t482 @t1) @t1) @t485 @t484 @t483))) % 2.13/2.37 (assume @p442 (forall @t291 (or @t464 @t226 @t486))) % 2.13/2.37 (assume @p443 (forall @t293 (or @t466 @t226 @t465))) % 2.13/2.37 (assume @p444 (forall (@list @t2 @t78 @t1 @t39 @t20) (or (= (tptp.c_Set_Oimage @t378 @t39 @t1 @t78) (tptp.c_Set_Oinsert @t2 @t154 @t78)) @t226))) % 2.13/2.37 (assume @p445 (forall @t490 (or @t489 (= (tptp.c_Finite__Set_Ocard @t488 @t1) (tptp.c_Suc @t487)) (= @t487 @t61)))) % 2.13/2.37 (assume @p446 (forall (@list @t39 @t1 @t38 @t78 @t404 @t79) (or (= @t300 @t494) @t493 @t294 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t404 @t38 @t78 @t1) @t39 @t37)) (not (tptp.c_Fun_Oinj__on @t404 @t38 @t78 @t1)) @t491 @t81))) % 2.13/2.37 (assume @p447 (forall @t193 (or (= @t447 (tptp.c_HOL_Ominus__class_Ominus @t300 @t304 tptp.tc_nat)) @t295 @t303))) % 2.13/2.37 (assume @p448 (forall @t445 (or (= @t444 @t300) @t225 @t294))) % 2.13/2.37 (assume @p449 (forall @t454 (or (= @t496 @t495) @t294))) % 2.13/2.37 (assume @p450 (forall @t445 (or (tptp.c_lessequals @t444 @t300 tptp.tc_nat) @t294))) % 2.13/2.37 (assume @p451 (forall (@list @t39 @t1 @t38 @t78 @t79) (or (tptp.c_lessequals @t300 @t494 tptp.tc_nat) @t493 @t491 @t81))) % 2.13/2.37 (assume @p452 (forall @t445 (or (= @t495 @t300) @t226 @t294))) % 2.13/2.37 (assume @p453 (forall @t500 (or @t499 (not (tptp.hBOOL (tptp.hAPP @t480 (tptp.c_Set_Oinsert (tptp.hAPP tptp.v_mgt__call @t498) @t477 tptp.t_a)))) @t497))) % 2.13/2.37 (assume @p454 (forall @t500 (or @t499 (tptp.hBOOL (tptp.c_in @t498 tptp.v_U tptp.tc_Com_Opname)) @t497))) % 2.13/2.37 (assume @p455 (forall @t36 (or @t35 (tptp.c_lessequals @t19 @t20 @t1) @t247 @t246))) % 2.13/2.37 (assume @p456 (forall @t51 (or @t50 (tptp.c_lessequals @t20 @t19 @t1) @t244 @t239))) % 2.13/2.37 (assume @p457 (forall @t501 (or @t286 @t226 @t298))) % 2.13/2.37 (assume @p458 (forall @t68 (tptp.c_lessequals @t14 @t14 tptp.tc_nat))) % 2.13/2.37 (assume @p459 (forall @t222 (or @t221 @t224 @t298))) % 2.13/2.37 (assume @p460 (forall @t98 (or (tptp.c_lessequals @t87 @t13 tptp.tc_nat) (not (tptp.c_lessequals @t96 @t13 tptp.tc_nat)) @t421))) % 2.13/2.37 (assume @p461 (forall @t158 @t345)) % 2.13/2.37 (assume @p462 (forall @t156 (tptp.c_lessequals @t20 @t20 @t37))) % 2.13/2.37 (assume @p463 (forall @t501 (or @t286 @t298 @t226))) % 2.13/2.37 (assume @p464 (forall (@list @t502 @t38 @t1 @t39) (or (tptp.hBOOL (tptp.c_in @t502 @t38 @t1)) (not (tptp.hBOOL (tptp.c_in @t502 @t39 @t1))) @t298))) % 2.13/2.37 (assume @p465 (forall @t302 (tptp.c_lessequals @t39 @t39 @t37))) % 2.13/2.37 (assume @p466 (forall @t45 (or @t415 @t413 @t298))) % 2.13/2.37 (assume @p467 (forall @t506 (or @t505 @t504 @t503))) % 2.13/2.37 (assume @p468 (forall @t161 (or @t35 @t256))) % 2.13/2.37 (assume @p469 (forall @t161 (or @t50 @t256))) % 2.13/2.37 (assume @p470 (forall @t390 (or @t150 @t303 @t298))) % 2.13/2.37 (assume @p471 (forall @t506 (or @t505 @t503 @t504))) % 2.13/2.37 (assume @p472 (forall @t390 (or @t150 @t298 @t303))) % 2.13/2.37 (assume @p473 (forall (@list @t5 @t3 @t38 @t1) (or (tptp.hBOOL (tptp.c_in @t5 @t507 @t1)) (not @t446)))) % 2.13/2.37 (assume @p474 (forall (@list @t5 @t3 @t39 @t1) (or @t508 @t432))) % 2.13/2.37 (assume @p475 (forall @t358 (or (not (= @t342 @t287)) @t467))) % 2.13/2.37 (assume @p476 (forall @t156 (tptp.hBOOL (tptp.c_in @t20 @t288 @t1)))) % 2.13/2.37 (assume @p477 (forall @t445 (or (= @t39 @t288) @t299 (not (tptp.c_lessequals @t39 @t288 @t37))))) % 2.13/2.37 (assume @p478 (forall @t385 (or @t243 @t384 @t509 @t246))) % 2.13/2.37 (assume @p479 (forall @t385 (or @t243 @t384 @t245 (not @t509)))) % 2.13/2.37 (assume @p480 (forall @t414 (or (tptp.c_lessequals @t419 @t418 @t85) @t298))) % 2.13/2.37 (assume @p481 (forall @t510 (or (not (tptp.c_lessequals @t20 @t39 @t85)) (tptp.c_lessequals (tptp.c_Set_Oimage @t79 @t20 @t78 @t1) @t342 @t37)))) % 2.13/2.37 (assume @p482 (forall (@list @t5 @t42 @t1 @t417) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t5 @t42 @t1) (tptp.c_Set_Oinsert @t5 @t417 @t1) @t37) (not (tptp.c_lessequals @t42 @t417 @t37))))) % 2.13/2.37 (assume @p483 (forall @t168 (or @t434 (not @t511)))) % 2.13/2.37 (assume @p484 (forall @t168 (or @t511 @t435))) % 2.13/2.37 (assume @p485 (forall @t168 (or @t434 @t326))) % 2.13/2.37 (assume @p486 (forall @t166 (or @t162 @t245 @t238))) % 2.13/2.37 (assume @p487 (forall @t68 (not (= @t14 @t70)))) % 2.13/2.37 (assume @p488 (forall @t68 (not (= @t70 @t14)))) % 2.13/2.37 (assume @p489 (forall @t309 (or @t512 @t298 @t310))) % 2.13/2.37 (assume @p490 (forall @t68 (not (tptp.c_lessequals @t70 @t14 tptp.tc_nat)))) % 2.13/2.37 (assume @p491 (forall @t454 (tptp.hBOOL (tptp.hAPP @t307 @t20)))) % 2.13/2.37 (assume @p492 (forall @t107 (or @t513 @t327))) % 2.13/2.37 (assume @p493 (forall @t107 (or @t326 @t349))) % 2.13/2.37 (assume @p494 (forall @t237 (= (tptp.c_Set_Oimage @t79 (tptp.c_Set_Oinsert @t5 @t38 @t78) @t78 @t1) (tptp.c_Set_Oinsert @t232 @t356 @t1)))) % 2.13/2.37 (assume @p495 (forall @t156 @t515)) % 2.13/2.37 (assume @p496 (forall @t516 (or @t430 @t515))) % 2.13/2.37 (assume @p497 (forall (@list @t2 @t1) (not (tptp.hBOOL (tptp.c_in @t2 @t287 @t1))))) % 2.13/2.37 (assume @p498 (forall (@list @t5 @t1) (not (tptp.hBOOL (tptp.c_in @t5 @t287 @t1))))) % 2.13/2.37 (assume @p499 (forall (@list @t1 @t5 @t39) (not (= @t287 @t329)))) % 2.13/2.37 (assume @p500 (forall @t60 (tptp.c_lessequals @t287 @t287 @t37))) % 2.13/2.37 (assume @p501 (forall @t302 (or @t299 (not (tptp.c_lessequals @t39 @t287 @t37))))) % 2.13/2.37 (assume @p502 (forall @t454 (or (= @t496 @t300) @t226 @t294))) % 2.13/2.37 (assume @p503 (= (tptp.hAPP @t477 tptp.v_x) (tptp.c_in tptp.v_x @t477 tptp.t_a))) % 2.13/2.37 (assume @p504 (forall @t520 (or @t519 @t206 @t517))) % 2.13/2.37 (assume @p505 (forall @t520 (or @t519 @t521 @t517))) % 2.13/2.37 (assume @p506 (forall @t520 (or @t519 @t206 @t522))) % 2.13/2.37 (assume @p507 (forall @t520 (or @t519 @t521 @t522))) % 2.13/2.37 (assume @p508 (forall (@list @t523 @t281 @t1 @t78) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t523 @t281 @t1 @t78) @t78) @t282))) % 2.13/2.37 (assume @p509 (forall @t112 (or @t35 @t165 @t239 @t246))) % 2.13/2.37 (assume @p510 (forall @t112 (or @t35 @t165 @t246 @t239))) % 2.13/2.37 (assume @p511 (forall @t193 (or @t412 @t295 @t298))) % 2.13/2.37 (assume @p512 (forall @t107 (or @t113 @t435 @t327))) % 2.13/2.37 (assume @p513 (forall (@list @t5 @t39 @t1 @t3) (or @t315 @t240 (not @t508)))) % 2.13/2.37 (assume @p514 (forall @t161 (not (tptp.hBOOL (tptp.hAPP @t287 @t20))))) % 2.13/2.37 (assume @p515 (forall @t193 (or @t412 (not (tptp.c_lessequals @t304 @t300 tptp.tc_nat)) @t298 @t303))) % 2.13/2.37 (assume @p516 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t198 @t70 tptp.tc_nat) @t278))) % 2.13/2.37 (assume @p517 (forall (@list @t524 @t396) (or (not (= (tptp.c_Suc @t524) @t397)) (= @t524 @t396)))) % 2.13/2.37 (assume @p518 (forall @t423 (or (not (= @t200 (tptp.c_Suc @t22))) @t165))) % 2.13/2.37 (assume @p519 (forall (@list @t39 @t1 @t20) (or (tptp.c_lessequals @t300 @t496 tptp.tc_nat) @t294))) % 2.13/2.37 (assume @p520 (forall @t60 (tptp.c_Finite__Set_Ofinite @t287 @t1))) % 2.13/2.37 (assume @p521 (forall @t341 (or @t525 @t294))) % 2.13/2.37 (assume @p522 (forall (@list @t39 @t1 @t5) (or @t150 (not @t525)))) % 2.13/2.37 (assume @p523 (forall (@list @t38 @t5 @t1) (tptp.c_lessequals @t38 @t334 @t37))) % 2.13/2.37 (assume @p524 (forall @t107 (or (= @t526 (tptp.c_Suc @t278)) @t435))) % 2.13/2.37 (assume @p525 (forall (@list @t39 @t20 @t22 @t1) (or @t529 (= @t22 @t20) (not @t528)))) % 2.13/2.37 (assume @p526 (forall @t454 (= (tptp.c_Set_Oinsert @t20 @t307 @t1) @t307))) % 2.13/2.37 (assume @p527 (forall @t341 (not (= @t329 @t287)))) % 2.13/2.37 (assume @p528 (forall @t161 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t1) @t20 @t1)))) % 2.13/2.37 (assume @p529 (forall @t392 (tptp.c_lessequals @t287 @t39 @t37))) % 2.13/2.37 (assume @p530 (forall @t149 (or (not (= @t287 @t342)) @t467))) % 2.13/2.37 (assume @p531 (forall (@list @t78) (or (not (tptp.class_Orderings_Obot @t78)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t355) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t78))))) % 2.13/2.37 (assume @p532 (forall (@list @t39 @t3 @t38 @t1) (or (tptp.c_lessequals @t39 @t507 @t37) @t298))) % 2.13/2.37 (assume @p533 (forall @t313 (or @t297 @t530))) % 2.13/2.37 (assume @p534 (forall (@list @t38 @t78 @t79 @t39 @t1) (or @t492 (not (tptp.c_lessequals @t38 @t419 @t85)) @t294))) % 2.13/2.37 (assume @p535 (forall (@list @t79 @t20 @t38 @t1 @t39 @t78) (or (tptp.hBOOL (tptp.c_in @t228 @t38 @t1)) @t531 (not @t462)))) % 2.13/2.37 (assume @p536 (forall (@list @t3 @t5 @t1) (or (= @t3 @t5) (not (tptp.hBOOL (tptp.c_in @t3 @t316 @t1)))))) % 2.13/2.37 (assume @p537 (forall @t454 (tptp.hBOOL (tptp.c_in @t20 @t307 @t1)))) % 2.13/2.37 (assume @p538 (forall (@list @t5 @t38 @t1) (tptp.hBOOL (tptp.c_in @t5 @t334 @t1)))) % 2.13/2.37 (assume @p539 (forall (@list @t20 @t38 @t1) (tptp.hBOOL (tptp.c_in @t20 @t283 @t1)))) % 2.13/2.37 (assume @p540 (forall (@list @t20 @t22 @t39 @t1) (= (tptp.c_Set_Oinsert @t20 @t527 @t1) (tptp.c_Set_Oinsert @t22 @t307 @t1)))) % 2.13/2.37 (assume @p541 (forall (@list @t20 @t532 @t1) (or @t534 (not @t533)))) % 2.13/2.37 (assume @p542 (forall (@list @t532 @t20 @t1) (or @t533 (not @t534)))) % 2.13/2.37 (assume @p543 (forall @t454 (or (= @t496 (tptp.c_Suc @t300)) @t225 @t294))) % 2.13/2.37 (assume @p544 (forall @t156 (or @t514 (= (tptp.c_Finite__Set_Ocard @t288 @t1) (tptp.c_Suc @t360))))) % 2.13/2.37 (assume @p545 (forall @t429 (or (tptp.c_lessequals @t428 @t427 tptp.tc_nat) @t327))) % 2.13/2.37 (assume @p546 (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) @t327))) % 2.13/2.37 (assume @p547 (forall @t203 (or @t535 @t327 @t364 @t436))) % 2.13/2.37 (assume @p548 (forall @t18 (or @t326 (not @t535) @t364 @t436))) % 2.13/2.37 (assume @p549 (forall (@list @t231 @t20 @t1) (= (tptp.c_Set_Oinsert @t231 @t288 @t1) (tptp.c_Set_Oinsert @t20 (tptp.c_Set_Oinsert @t231 @t287 @t1) @t1)))) % 2.13/2.37 (assume @p550 (forall (@list @t1 @t231 @t22 @t20) (or @t27 (not (= (tptp.c_HOL_Ominus__class_Ominus @t231 @t22 @t1) @t386)) (= @t231 @t22)))) % 2.13/2.37 (assume @p551 (forall (@list @t1 @t20 @t380 @t379) (or @t27 (not (= @t386 @t382)) (= @t380 @t379)))) % 2.13/2.37 (assume @p552 (forall @t203 (or (not (= @t438 @t437)) @t364 @t436 @t113))) % 2.13/2.37 (assume @p553 (forall @t391 (= @t536 @t287))) % 2.13/2.37 (assume @p554 (forall @t107 (tptp.c_lessequals @t278 @t16 tptp.tc_nat))) % 2.13/2.37 (assume @p555 (forall (@list @t5 @t1 @t3) (or (not (= @t316 @t518)) @t240))) % 2.13/2.37 (assume @p556 (forall @t516 (or @t504 @t515))) % 2.13/2.37 (assume @p557 (forall @t203 (or (= (tptp.c_HOL_Ominus__class_Ominus @t438 @t437 tptp.tc_nat) @t278) @t364 @t436))) % 2.13/2.37 (assume @p558 (forall @t268 (= @t431 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t87 @t13 tptp.tc_nat) @t96 tptp.tc_nat)))) % 2.13/2.37 (assume @p559 (forall @t490 (or (not (= @t488 @t287)) @t489))) % 2.13/2.37 (assume @p560 (forall @t501 (or @t286 @t530))) % 2.13/2.37 (assume @p561 (forall @t107 (or @t327 @t351))) % 2.13/2.37 (assume @p562 (forall @t168 (or @t350 @t326))) % 2.13/2.37 (assume @p563 (forall (@list @t22 @t39 @t1 @t20) (or @t528 (not @t529)))) % 2.13/2.37 (assume @p564 (forall @t537 (or (= (tptp.c_Set_Oinsert @t228 @t419 @t78) @t419) @t226))) % 2.13/2.37 (assume @p565 (forall @t293 (or @t466 @t298 @t225))) % 2.13/2.37 (assume @p566 (forall @t313 (or @t297 @t225 @t486))) % 2.13/2.37 (assume @p567 (forall @t313 (or @t297 @t486 @t225))) % 2.13/2.37 (assume @p568 (forall @t309 (or (not (= @t307 @t283)) @t286 @t225 @t412))) % 2.13/2.37 (assume @p569 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t526 (tptp.c_Suc @t13) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t278 @t13 tptp.tc_nat)))) % 2.13/2.37 (assume @p570 (forall (@list @t478 @t538) (or (tptp.hBOOL (tptp.hAPP @t480 @t538)) (not (tptp.c_lessequals @t538 @t478 @t476))))) % 2.13/2.37 (assume @p571 @t540) % 2.13/2.37 (assume @p572 (forall @t68 (tptp.c_lessequals @t70 @t70 tptp.tc_nat))) % 2.13/2.37 (assume @p573 (forall @t155 (= @t287 @t536))) % 2.13/2.37 (assume @p574 (forall @t390 (or (tptp.c_lessequals @t300 @t304 tptp.tc_nat) @t298 @t303))) % 2.13/2.37 (assume @p575 (forall @t442 (or (tptp.c_lessequals @t440 @t300 tptp.tc_nat) @t294))) % 2.13/2.37 (assume @p576 (forall @t392 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1)) @t150))) % 2.13/2.37 (assume @p577 (forall @t426 (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))))) % 2.13/2.37 (assume @p578 (forall @t107 (or (= @t16 @t70) @t326 (not @t513)))) % 2.13/2.37 (assume @p579 (forall (@list @t20 @t39 @t456 @t79 @t1) (or (not (tptp.hBOOL (tptp.c_in @t20 @t39 @t456))) (tptp.hBOOL (tptp.c_in @t228 (tptp.c_Set_Oimage @t79 @t39 @t456 @t1) @t1))))) % 2.13/2.37 (assume @p580 (forall @t510 (or @t531 @t541))) % 2.13/2.37 (assume @p581 (forall (@list @t79 @t20 @t39 @t78 @t1) (or @t541 @t531))) % 2.13/2.37 (assume @p582 (forall @t537 (or (tptp.hBOOL (tptp.c_in @t228 @t419 @t78)) @t226))) % 2.13/2.37 (assume @p583 (forall (@list @t78 @t79 @t20 @t404 @t1) (or @t408 (tptp.c_lessequals @t228 (tptp.hAPP @t404 @t20) @t78) @t410))) % 2.13/2.37 (assume @p584 @t542) % 2.13/2.37 (assume @p585 @t544) % 2.13/2.37 (assume @p586 @t547) % 2.13/2.37 (assume @p587 (= @t549 @t548)) % 2.13/2.37 (assume @p588 @t550) % 2.13/2.37 (assume @p589 (not @t553)) % 2.13/2.37 (assume @p590 @t555) % 2.13/2.37 (assume @p591 (forall @t559 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t558) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t556))))) % 2.13/2.37 (assume @p592 (forall @t559 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t558) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t556)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t557))))) % 2.13/2.37 (assume @p593 (forall @t559 (or (tptp.class_Orderings_Opreorder @t558) (not (tptp.class_Orderings_Opreorder @t556))))) % 2.13/2.37 (assume @p594 (forall @t559 (or (tptp.class_Orderings_Oorder @t558) (not (tptp.class_Orderings_Oorder @t556))))) % 2.13/2.37 (assume @p595 (forall @t559 (or (tptp.class_Orderings_Obot @t558) (not (tptp.class_Orderings_Obot @t556))))) % 2.13/2.37 (assume @p596 (forall @t559 (or (tptp.class_HOL_Ominus @t558) (not (tptp.class_HOL_Ominus @t556))))) % 2.13/2.37 (assume @p597 (forall @t559 (or (tptp.class_HOL_Oord @t558) (not (tptp.class_HOL_Oord @t556))))) % 2.13/2.37 (assume @p598 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 2.13/2.37 (assume @p599 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 2.13/2.37 (assume @p600 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 2.13/2.37 (assume @p601 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 2.13/2.37 (assume @p602 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 2.13/2.37 (assume @p603 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 2.13/2.37 (assume @p604 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 2.13/2.37 (assume @p605 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 2.13/2.37 (assume @p606 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 2.13/2.37 (assume @p607 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 2.13/2.37 (assume @p608 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 2.13/2.37 (assume @p609 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 2.13/2.37 (assume @p610 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 2.13/2.37 (assume @p611 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 2.13/2.37 (assume @p612 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 2.13/2.37 (assume @p613 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 2.13/2.37 (assume @p614 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 2.13/2.37 (assume @p615 (tptp.class_Orderings_Obot tptp.tc_nat)) % 2.13/2.37 (assume @p616 (tptp.class_HOL_Ominus tptp.tc_nat)) % 2.13/2.37 (assume @p617 (tptp.class_HOL_Oord tptp.tc_nat)) % 2.13/2.37 (assume @p618 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 2.13/2.37 (assume @p619 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 2.13/2.37 (assume @p620 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 2.13/2.37 (assume @p621 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 2.13/2.37 (assume @p622 (tptp.class_Orderings_Obot tptp.tc_bool)) % 2.13/2.37 (assume @p623 (tptp.class_HOL_Ominus tptp.tc_bool)) % 2.13/2.37 (assume @p624 (tptp.class_HOL_Oord tptp.tc_bool)) % 2.13/2.37 (assume @p625 (forall @t156 (tptp.c_fequal @t20 @t20 @t1))) % 2.13/2.37 (assume @p626 (forall (@list @t248 @t560 @t1) (or (= @t248 @t560) (not (tptp.c_fequal @t248 @t560 @t1))))) % 2.13/2.37 (step @p627 :rule instantiate :premises (@p403) :args ((@list tptp.v_x))) % 2.13/2.37 (step @p628 :rule cnf_or_pos :args (@t564)) % 2.13/2.37 (step @p629 :rule reordering :premises (@p628) :args ((or @t561 @t563 (not @t564)))) % 2.13/2.37 (step @p630 :rule chain_m_resolution :premises (@p629 @p588 @p627) :args (@t563 @t565 (@list @t550 @t564))) % 2.13/2.37 (step @p631 :rule instantiate :premises (@p438) :args ((@list tptp.v_G tptp.v_x))) % 2.13/2.37 (step @p632 :rule cnf_or_pos :args (@t569)) % 2.13/2.37 (step @p633 :rule reordering :premises (@p632) :args ((or @t553 @t568 (not @t569)))) % 2.13/2.37 (step @p634 :rule chain_m_resolution :premises (@p633 @p589 @p631) :args (@t568 @t570 (@list @t553 @t569))) % 2.13/2.37 (step @p635 :rule refl :args (@t571)) % 2.13/2.37 (step @p636 :rule refl :args (@t567)) % 2.13/2.37 (step @p637 :rule refl :args (@t573)) % 2.13/2.37 (step @p638 :rule eq-symm :args (@t574 @t554)) % 2.13/2.37 (step @p639 :rule cong :premises (@p638) :args (@t575)) % 2.13/2.37 (step @p640 :rule nary_cong :premises (@p639 @p637 @p636 @p635) :args (@t576)) % 2.13/2.37 (step @p641 :rule refl :args (@t555)) % 2.13/2.37 (step @p642 :rule cong :premises (@p641 @p640) :args ((=> @t555 @t576))) % 2.13/2.37 (assume-push @p762 @t555) % 2.13/2.37 (step @p644 :rule instantiate :premises (@p590) :args ((@list @t566 @t562))) % 2.13/2.37 (step-pop @p763 :rule scope :premises (@p644)) % 2.13/2.37 (step @p645 :rule process_scope :premises (@p763) :args (@t576)) % 2.13/2.37 (step @p647 :rule eq_resolve :premises (@p645 @p642)) % 2.13/2.37 (step @p648 :rule implies_elim :premises (@p647)) % 2.13/2.37 (step @p649 :rule chain_m_resolution :premises (@p648 @p590) :args (@t579 @t580 (@list @t555))) % 2.13/2.37 (step @p650 :rule instantiate :premises (@p482) :args ((@list @t551 tptp.v_G tptp.t_a @t543))) % 2.13/2.37 (step @p651 :rule cnf_or_pos :args (@t583)) % 2.13/2.37 (step @p652 :rule reordering :premises (@p651) :args ((or @t581 @t582 (not @t583)))) % 2.13/2.37 (step @p653 :rule chain_m_resolution :premises (@p652 @p585 @p650) :args (@t582 @t565 (@list @t544 @t583))) % 2.13/2.37 (step @p654 :rule true_intro :premises (@p653)) % 2.13/2.37 (step @p655 :rule refl :args (@t476)) % 2.13/2.37 (step @p656 :rule instantiate :premises (@p494) :args ((@list tptp.v_mgt__call tptp.v_x tptp.v_U tptp.tc_Com_Opname tptp.t_a))) % 2.13/2.37 (step @p657 :rule refl :args (tptp.t_a)) % 2.13/2.37 (step @p658 :rule refl :args (tptp.tc_Com_Opname)) % 2.13/2.37 (step @p659 :rule refl :args (@t432)) % 2.13/2.37 (step @p660 :rule eq-symm :args (@t329 @t39)) % 2.13/2.37 (step @p661 :rule nary_cong :premises (@p660 @p659) :args (@t539)) % 2.13/2.37 (step @p662 :rule cong :premises (@p661) :args (@t540)) % 2.13/2.37 (step @p663 :rule eq_resolve :premises (@p571 @p662)) % 2.13/2.37 (step @p664 :rule instantiate :premises (@p663) :args ((@list tptp.v_x tptp.v_U tptp.tc_Com_Opname))) % 2.13/2.37 (step @p665 :rule cnf_or_pos :args (@t585)) % 2.13/2.37 (step @p666 :rule reordering :premises (@p665) :args ((or @t561 @t584 (not @t585)))) % 2.13/2.37 (step @p667 :rule chain_m_resolution :premises (@p666 @p588 @p664) :args (@t584 @t565 (@list @t550 @t585))) % 2.13/2.37 (step @p668 :rule refl :args (tptp.v_mgt__call)) % 2.13/2.37 (step @p669 :rule cong :premises (@p668 @p667 @p658 @p657) :args (@t543)) % 2.13/2.37 (step @p670 :rule trans :premises (@p669 @p656)) % 2.13/2.37 (step @p671 :rule refl :args (@t566)) % 2.13/2.37 (step @p672 :rule cong :premises (@p671 @p670 @p655) :args (@t572)) % 2.13/2.37 (step @p673 :rule trans :premises (@p672 @p654)) % 2.13/2.37 (step @p674 :rule true_elim :premises (@p673)) % 2.13/2.37 (step @p675 :rule instantiate :premises (@p449) :args (@t586)) % 2.13/2.37 (step @p676 :rule instantiate :premises (@p534) :args ((@list tptp.v_G tptp.t_a tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname))) % 2.13/2.37 (step @p677 :rule cnf_or_pos :args (@t589)) % 2.13/2.37 (step @p678 :rule reordering :premises (@p677) :args ((or @t587 @t581 @t588 (not @t589)))) % 2.13/2.37 (step @p679 :rule chain_m_resolution :premises (@p678 @p584 @p585 @p676) :args (@t588 @t590 (@list @t542 @t544 @t589))) % 2.13/2.37 (step @p680 :rule cnf_or_pos :args (@t594)) % 2.13/2.37 (step @p681 :rule reordering :premises (@p680) :args ((or @t591 @t593 (not @t594)))) % 2.13/2.37 (step @p682 :rule chain_m_resolution :premises (@p681 @p679 @p675) :args (@t593 @t565 (@list @t588 @t594))) % 2.13/2.37 (step @p683 :rule symm :premises (@p682)) % 2.13/2.37 (step @p684 :rule refl :args (@t310)) % 2.13/2.37 (step @p685 :rule eq-symm :args (@t308 @t82)) % 2.13/2.37 (step @p686 :rule nary_cong :premises (@p685 @p684) :args (@t311)) % 2.13/2.37 (step @p687 :rule cong :premises (@p686) :args (@t312)) % 2.13/2.37 (step @p688 :rule eq_resolve :premises (@p242 @p687)) % 2.13/2.37 (step @p689 :rule refl :args (@t596)) % 2.13/2.37 (step @p690 :rule eq-symm :args (@t592 @t597)) % 2.13/2.37 (step @p691 :rule nary_cong :premises (@p690 @p689) :args (@t598)) % 2.13/2.37 (step @p692 :rule refl :args (@t599)) % 2.13/2.37 (step @p693 :rule cong :premises (@p692 @p691) :args ((=> @t599 @t598))) % 2.13/2.37 (assume-push @p764 @t599) % 2.13/2.37 (step @p695 :rule instantiate :premises (@p688) :args ((@list @t551 tptp.v_G tptp.t_a @t552))) % 2.13/2.37 (step-pop @p765 :rule scope :premises (@p695)) % 2.13/2.37 (step @p696 :rule process_scope :premises (@p765) :args (@t598)) % 2.13/2.37 (step @p698 :rule eq_resolve :premises (@p696 @p693)) % 2.13/2.37 (step @p699 :rule implies_elim :premises (@p698)) % 2.13/2.37 (step @p700 :rule chain_m_resolution :premises (@p699 @p688) :args (@t601 @t580 (@list @t599))) % 2.13/2.37 (step @p701 :rule instantiate :premises (@p476) :args ((@list @t551 tptp.t_a))) % 2.13/2.37 (step @p702 :rule cnf_or_pos :args (@t601)) % 2.13/2.37 (step @p703 :rule reordering :premises (@p702) :args ((or @t596 @t600 (not @t601)))) % 2.13/2.37 (step @p704 :rule chain_m_resolution :premises (@p703 @p701 @p700) :args (@t600 @t565 (@list @t595 @t601))) % 2.13/2.37 (step @p705 :rule eq-symm :args (@t192 @t82)) % 2.13/2.37 (step @p706 :rule cong :premises (@p705) :args (@t194)) % 2.13/2.37 (step @p707 :rule eq_resolve :premises (@p99 @p706)) % 2.13/2.37 (step @p708 :rule instantiate :premises (@p707) :args ((@list @t566 @t552 tptp.t_a))) % 2.13/2.37 (step @p709 :rule symm :premises (@p708)) % 2.13/2.37 (step @p710 :rule trans :premises (@p709 @p704)) % 2.13/2.37 (step @p711 :rule cong :premises (@p710 @p657) :args ((tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t597 @t552 @t476) tptp.t_a))) % 2.13/2.37 (step @p712 :rule cong :premises (@p708 @p657) :args (@t602)) % 2.13/2.37 (step @p713 :rule trans :premises (@p712 @p711)) % 2.13/2.37 (step @p714 :rule cong :premises (@p713) :args ((tptp.c_Suc @t602))) % 2.13/2.37 (step @p715 :rule symm :premises (@p712)) % 2.13/2.37 (step @p716 :rule refl :args (@t225)) % 2.13/2.37 (step @p717 :rule eq-symm :args (@t452 @t39)) % 2.13/2.37 (step @p718 :rule nary_cong :premises (@p717 @p716) :args (@t453)) % 2.13/2.37 (step @p719 :rule cong :premises (@p718) :args (@t455)) % 2.13/2.37 (step @p720 :rule eq_resolve :premises (@p408 @p719)) % 2.13/2.37 (step @p721 :rule instantiate :premises (@p720) :args (@t586)) % 2.13/2.37 (step @p722 :rule instantiate :premises (@p489) :args ((@list @t551 @t477 tptp.t_a tptp.v_G))) % 2.13/2.37 (step @p723 :rule instantiate :premises (@p529) :args ((@list tptp.t_a tptp.v_G))) % 2.13/2.37 (step @p724 :rule instantiate :premises (@p570) :args ((@list tptp.v_G @t552))) % 2.13/2.37 (step @p725 :rule cnf_or_pos :args (@t605)) % 2.13/2.37 (step @p726 :rule reordering :premises (@p725) :args ((or @t553 @t604 (not @t605)))) % 2.13/2.37 (step @p727 :rule chain_m_resolution :premises (@p726 @p589 @p724) :args (@t604 @t570 (@list @t553 @t605))) % 2.13/2.37 (step @p728 :rule cnf_or_pos :args (@t610)) % 2.13/2.37 (step @p729 :rule reordering :premises (@p728) :args ((or @t603 @t609 @t607 (not @t610)))) % 2.13/2.37 (step @p730 :rule chain_m_resolution :premises (@p729 @p727 @p723 @p722) :args (@t607 (@list true false false) (@list @t603 @t608 @t610))) % 2.13/2.37 (step @p731 :rule cnf_or_pos :args (@t612)) % 2.13/2.37 (step @p732 :rule reordering :premises (@p731) :args ((or @t611 @t606 (not @t612)))) % 2.13/2.37 (step @p733 :rule chain_m_resolution :premises (@p732 @p730 @p721) :args (@t611 @t570 (@list @t606 @t612))) % 2.13/2.37 (step @p734 :rule instantiate :premises (@p428) :args ((@list tptp.v_G tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a))) % 2.13/2.37 (step @p735 :rule cnf_or_pos :args (@t615)) % 2.13/2.37 (step @p736 :rule reordering :premises (@p735) :args ((or @t581 @t591 @t614 (not @t615)))) % 2.13/2.37 (step @p737 :rule chain_m_resolution :premises (@p736 @p585 @p679 @p734) :args (@t614 @t590 (@list @t544 @t588 @t615))) % 2.13/2.37 (step @p738 :rule symm :premises (@p737)) % 2.13/2.37 (step @p739 :rule trans :premises (@p738 @p733 @p708)) % 2.13/2.37 (step @p740 :rule cong :premises (@p739 @p657) :args ((tptp.c_Finite__Set_Ocard @t613 tptp.t_a))) % 2.13/2.37 (step @p741 :rule cong :premises (@p737 @p657) :args (@t549)) % 2.13/2.37 (step @p742 :rule symm :premises (@p587)) % 2.13/2.37 (step @p743 :rule trans :premises (@p742 @p741 @p740 @p715)) % 2.13/2.37 (step @p744 :rule cong :premises (@p743) :args (@t616)) % 2.13/2.37 (step @p745 :rule instantiate :premises (@p524) :args ((@list @t545 @t546))) % 2.13/2.37 (step @p746 :rule cnf_or_pos :args (@t620)) % 2.13/2.37 (step @p747 :rule reordering :premises (@p746) :args ((or @t617 @t619 (not @t620)))) % 2.13/2.37 (step @p748 :rule chain_m_resolution :premises (@p747 @p586 @p745) :args (@t619 @t565 (@list @t547 @t620))) % 2.13/2.37 (step @p749 :rule instantiate :premises (@p276) :args ((@list @t618 tptp.v_na))) % 2.13/2.37 (step @p750 :rule symm :premises (@p749)) % 2.13/2.37 (step @p751 :rule refl :args (tptp.tc_nat)) % 2.13/2.37 (step @p752 :rule refl :args (tptp.v_na)) % 2.13/2.37 (step @p753 :rule eq-symm :args (@t361 @t14)) % 2.13/2.37 (step @p754 :rule cong :premises (@p753) :args (@t362)) % 2.13/2.37 (step @p755 :rule eq_resolve :premises (@p278 @p754)) % 2.13/2.37 (step @p756 :rule instantiate :premises (@p755) :args ((@list @t545))) % 2.13/2.37 (step @p757 :rule cong :premises (@p756 @p752 @p751) :args (@t554)) % 2.13/2.37 (step @p758 :rule trans :premises (@p757 @p750 @p748 @p744 @p714 @p683)) % 2.13/2.37 (step @p759 :rule cnf_or_pos :args (@t579)) % 2.13/2.37 (step @p760 :rule reordering :premises (@p759) :args ((or @t567 @t571 @t573 @t578 (not @t579)))) % 2.13/2.37 (step @p761 false :rule chain_m_resolution :premises (@p760 @p758 @p674 @p649 @p634 @p630) :args (false (@list false false false true false) (@list @t577 @t572 @t579 @t567 @t563))) % 2.13/2.37 ) % 2.13/2.37 % SZS output end Proof % 2.13/2.38 % cvc5 exiting %------------------------------------------------------------------------------