%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV844-1 : 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 : n013.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 09:02:29 AM UTC 2026 % Result : Unsatisfiable 1.12s 1.31s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV844-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:16:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.74 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.31 % SZS status Unsatisfiable % 1.12/1.31 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.tc_Com_Ostate $$unsorted) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__join (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_F $$unsorted) % 1.12/1.35 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_Q_H $$unsorted) % 1.12/1.35 (declare-const tptp.c_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.tc_nat $$unsorted) % 1.12/1.35 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_x $$unsorted) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.t_a $$unsorted) % 1.12/1.35 (declare-const tptp.tc_bool $$unsorted) % 1.12/1.35 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.t_c $$unsorted) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Lattices_Olower__semilattice (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_HOL_Ouminus (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_Q $$unsorted) % 1.12/1.35 (declare-const tptp.v_R $$unsorted) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_P $$unsorted) % 1.12/1.35 (declare-const tptp.t_b $$unsorted) % 1.12/1.35 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_G $$unsorted) % 1.12/1.35 (declare-const tptp.v_c0 $$unsorted) % 1.12/1.35 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.tc_Com_Ocom $$unsorted) % 1.12/1.35 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_P_H $$unsorted) % 1.12/1.35 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (define @t1 () (@var "V_x" $$unsorted)) % 1.12/1.35 (define @t2 () (@var "V_a" $$unsorted)) % 1.12/1.35 (define @t3 () (@var "T_a" $$unsorted)) % 1.12/1.35 (define @t4 () (tptp.c_lessequals @t3)) % 1.12/1.35 (define @t5 () (tptp.hAPP @t4 @t2)) % 1.12/1.35 (define @t6 () (tptp.hBOOL (tptp.hAPP @t5 @t1))) % 1.12/1.35 (define @t7 () (not @t6)) % 1.12/1.35 (define @t8 () (@var "V_b" $$unsorted)) % 1.12/1.35 (define @t9 () (tptp.c_Orderings_Oord__class_Omin @t3)) % 1.12/1.35 (define @t10 () (tptp.hAPP (tptp.hAPP @t9 @t2) @t8)) % 1.12/1.35 (define @t11 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t10) @t1))) % 1.12/1.35 (define @t12 () (not (tptp.class_Orderings_Olinorder @t3))) % 1.12/1.35 (define @t13 () (@list @t3 @t2 @t8 @t1)) % 1.12/1.35 (define @t14 () (tptp.hAPP @t4 @t1)) % 1.12/1.35 (define @t15 () (tptp.hBOOL (tptp.hAPP @t14 @t10))) % 1.12/1.35 (define @t16 () (not @t15)) % 1.12/1.35 (define @t17 () (tptp.hBOOL (tptp.hAPP @t14 @t8))) % 1.12/1.35 (define @t18 () (@list @t3 @t1 @t8 @t2)) % 1.12/1.35 (define @t19 () (tptp.hBOOL (tptp.hAPP @t14 @t2))) % 1.12/1.35 (define @t20 () (@list @t3 @t1 @t2 @t8)) % 1.12/1.35 (define @t21 () (@var "V_inf" $$unsorted)) % 1.12/1.35 (define @t22 () (@var "V_less" $$unsorted)) % 1.12/1.35 (define @t23 () (@var "V_less__eq" $$unsorted)) % 1.12/1.35 (define @t24 () (not (tptp.c_Lattices_Olower__semilattice @t23 @t22 @t21 @t3))) % 1.12/1.35 (define @t25 () (@var "V_y" $$unsorted)) % 1.12/1.35 (define @t26 () (tptp.hAPP @t21 @t1)) % 1.12/1.35 (define @t27 () (tptp.hAPP @t26 @t25)) % 1.12/1.35 (define @t28 () (@list @t21 @t1 @t25 @t23 @t22 @t3)) % 1.12/1.35 (define @t29 () (tptp.hAPP @t23 @t1)) % 1.12/1.35 (define @t30 () (tptp.hBOOL (tptp.hAPP @t29 @t25))) % 1.12/1.35 (define @t31 () (= @t27 @t1)) % 1.12/1.35 (define @t32 () (not @t30)) % 1.12/1.35 (define @t33 () (= @t1 @t25)) % 1.12/1.35 (define @t34 () (tptp.c_Suc @t1)) % 1.12/1.35 (define @t35 () (@list @t1 @t25)) % 1.12/1.35 (define @t36 () (@var "V_nat_H" $$unsorted)) % 1.12/1.35 (define @t37 () (@var "V_nat" $$unsorted)) % 1.12/1.35 (define @t38 () (@var "V_d" $$unsorted)) % 1.12/1.35 (define @t39 () (@var "V_e" $$unsorted)) % 1.12/1.35 (define @t40 () (tptp.c_HOL_Ominus__class_Ominus @t3)) % 1.12/1.35 (define @t41 () (tptp.hAPP (tptp.hAPP @t40 @t8) @t2)) % 1.12/1.35 (define @t42 () (tptp.c_HOL_Otimes__class_Otimes @t3)) % 1.12/1.35 (define @t43 () (tptp.c_HOL_Oplus__class_Oplus @t3)) % 1.12/1.35 (define @t44 () (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP (tptp.hAPP @t42 @t41) @t39)) @t38)) % 1.12/1.35 (define @t45 () (@var "V_c" $$unsorted)) % 1.12/1.35 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t3)) % 1.12/1.35 (define @t47 () (tptp.hAPP @t46 @t45)) % 1.12/1.35 (define @t48 () (tptp.hBOOL (tptp.hAPP @t47 @t44))) % 1.12/1.35 (define @t49 () (tptp.hAPP @t42 @t8)) % 1.12/1.35 (define @t50 () (tptp.hAPP @t43 (tptp.hAPP @t49 @t39))) % 1.12/1.35 (define @t51 () (tptp.hAPP @t50 @t38)) % 1.12/1.35 (define @t52 () (tptp.hAPP @t42 @t2)) % 1.12/1.35 (define @t53 () (tptp.hAPP @t43 (tptp.hAPP @t52 @t39))) % 1.12/1.35 (define @t54 () (tptp.hAPP @t53 @t45)) % 1.12/1.35 (define @t55 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t54) @t51))) % 1.12/1.35 (define @t56 () (not (tptp.class_Ring__and__Field_Opordered__ring @t3))) % 1.12/1.35 (define @t57 () (@list @t3 @t2 @t39 @t45 @t8 @t38)) % 1.12/1.35 (define @t58 () (not @t55)) % 1.12/1.35 (define @t59 () (@list @t3 @t45 @t8 @t2 @t39 @t38)) % 1.12/1.35 (define @t60 () (tptp.hAPP @t40 @t2)) % 1.12/1.35 (define @t61 () (tptp.hAPP @t60 @t8)) % 1.12/1.35 (define @t62 () (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP (tptp.hAPP @t42 @t61) @t39)) @t45)) % 1.12/1.35 (define @t63 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t62) @t38))) % 1.12/1.35 (define @t64 () (@list @t3 @t2 @t8 @t39 @t45 @t38)) % 1.12/1.35 (define @t65 () (@var "T_b" $$unsorted)) % 1.12/1.35 (define @t66 () (@var "V_B" $$unsorted)) % 1.12/1.35 (define @t67 () (@var "V_g" $$unsorted)) % 1.12/1.35 (define @t68 () (@var "V_A" $$unsorted)) % 1.12/1.35 (define @t69 () (tptp.c_HOL_Oplus__class_Oplus @t65)) % 1.12/1.35 (define @t70 () (tptp.hAPP (tptp.hAPP @t69 (tptp.c_Finite__Set_Osetsum @t67 @t68 @t3 @t65)) (tptp.c_Finite__Set_Osetsum @t67 @t66 @t3 @t65))) % 1.12/1.35 (define @t71 () (tptp.tc_fun @t3 tptp.tc_bool)) % 1.12/1.35 (define @t72 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t71)) % 1.12/1.35 (define @t73 () (tptp.hAPP @t72 @t68)) % 1.12/1.35 (define @t74 () (tptp.hAPP @t73 @t66)) % 1.12/1.35 (define @t75 () (tptp.c_Finite__Set_Osetsum @t67 @t74 @t3 @t65)) % 1.12/1.35 (define @t76 () (tptp.c_Finite__Set_Ofinite @t68 @t3)) % 1.12/1.35 (define @t77 () (not @t76)) % 1.12/1.35 (define @t78 () (not (tptp.c_Finite__Set_Ofinite @t66 @t3))) % 1.12/1.35 (define @t79 () (tptp.c_Orderings_Obot__class_Obot @t71)) % 1.12/1.35 (define @t80 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t71)) % 1.12/1.35 (define @t81 () (tptp.hAPP @t80 @t68)) % 1.12/1.35 (define @t82 () (tptp.hAPP @t81 @t66)) % 1.12/1.35 (define @t83 () (= @t82 @t79)) % 1.12/1.35 (define @t84 () (not @t83)) % 1.12/1.35 (define @t85 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t65))) % 1.12/1.35 (define @t86 () (@var "V_z" $$unsorted)) % 1.12/1.35 (define @t87 () (tptp.hAPP @t9 @t1)) % 1.12/1.35 (define @t88 () (tptp.hAPP @t87 @t25)) % 1.12/1.35 (define @t89 () (tptp.hAPP @t4 @t88)) % 1.12/1.35 (define @t90 () (tptp.hBOOL (tptp.hAPP @t89 @t86))) % 1.12/1.35 (define @t91 () (tptp.hBOOL (tptp.hAPP @t14 @t86))) % 1.12/1.35 (define @t92 () (tptp.hAPP @t4 @t25)) % 1.12/1.35 (define @t93 () (tptp.hBOOL (tptp.hAPP @t92 @t86))) % 1.12/1.35 (define @t94 () (@list @t3 @t25 @t86 @t1)) % 1.12/1.35 (define @t95 () (tptp.c_Orderings_Oord__class_Omax @t3)) % 1.12/1.35 (define @t96 () (@list @t3)) % 1.12/1.35 (define @t97 () (= @t2 @t45)) % 1.12/1.35 (define @t98 () (@var "V_m" $$unsorted)) % 1.12/1.35 (define @t99 () (tptp.hAPP @t95 @t1)) % 1.12/1.35 (define @t100 () (tptp.hAPP @t99 @t25)) % 1.12/1.35 (define @t101 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t100) @t86))) % 1.12/1.35 (define @t102 () (not @t101)) % 1.12/1.35 (define @t103 () (@list @t3 @t1 @t86 @t25)) % 1.12/1.35 (define @t104 () (tptp.hAPP @t4 @t86)) % 1.12/1.35 (define @t105 () (tptp.hBOOL (tptp.hAPP @t104 @t25))) % 1.12/1.35 (define @t106 () (not @t105)) % 1.12/1.35 (define @t107 () (tptp.hBOOL (tptp.hAPP @t104 @t100))) % 1.12/1.35 (define @t108 () (@list @t3 @t86 @t1 @t25)) % 1.12/1.35 (define @t109 () (tptp.hBOOL (tptp.hAPP @t104 @t1))) % 1.12/1.35 (define @t110 () (not @t109)) % 1.12/1.35 (define @t111 () (not @t17)) % 1.12/1.35 (define @t112 () (tptp.hAPP @t95 @t2)) % 1.12/1.35 (define @t113 () (tptp.hAPP @t112 @t8)) % 1.12/1.35 (define @t114 () (tptp.hBOOL (tptp.hAPP @t14 @t113))) % 1.12/1.35 (define @t115 () (not @t19)) % 1.12/1.35 (define @t116 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t113) @t1))) % 1.12/1.35 (define @t117 () (not @t116)) % 1.12/1.35 (define @t118 () (tptp.hAPP @t4 @t8)) % 1.12/1.35 (define @t119 () (tptp.hBOOL (tptp.hAPP @t118 @t1))) % 1.12/1.35 (define @t120 () (@list @t3 @t8 @t1 @t2)) % 1.12/1.35 (define @t121 () (@list @t3 @t2 @t1 @t8)) % 1.12/1.35 (define @t122 () (tptp.hAPP @t46 @t86)) % 1.12/1.35 (define @t123 () (tptp.hBOOL (tptp.hAPP @t122 @t100))) % 1.12/1.35 (define @t124 () (tptp.hBOOL (tptp.hAPP @t122 @t1))) % 1.12/1.35 (define @t125 () (tptp.hBOOL (tptp.hAPP @t122 @t25))) % 1.12/1.35 (define @t126 () (@list @t3 @t86 @t25 @t1)) % 1.12/1.35 (define @t127 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 1.12/1.35 (define @t128 () (tptp.hAPP @t127 @t25)) % 1.12/1.35 (define @t129 () (tptp.hAPP @t128 @t86)) % 1.12/1.35 (define @t130 () (tptp.hAPP @t127 @t1)) % 1.12/1.35 (define @t131 () (tptp.hAPP @t130 @t129)) % 1.12/1.35 (define @t132 () (tptp.hAPP @t130 @t25)) % 1.12/1.35 (define @t133 () (= (tptp.hAPP (tptp.hAPP @t127 @t132) @t86) @t131)) % 1.12/1.35 (define @t134 () (not (tptp.class_Lattices_Olattice @t3))) % 1.12/1.35 (define @t135 () (@list @t3 @t1 @t25 @t86)) % 1.12/1.35 (define @t136 () (tptp.hAPP @t130 @t86)) % 1.12/1.35 (define @t137 () (= @t131 (tptp.hAPP @t128 @t136))) % 1.12/1.35 (define @t138 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 1.12/1.35 (define @t139 () (@var "V_C" $$unsorted)) % 1.12/1.35 (define @t140 () (tptp.hAPP @t80 @t66)) % 1.12/1.35 (define @t141 () (tptp.hAPP @t140 @t139)) % 1.12/1.35 (define @t142 () (tptp.hAPP @t81 @t141)) % 1.12/1.35 (define @t143 () (@list @t3 @t68 @t66 @t139)) % 1.12/1.35 (define @t144 () (tptp.hAPP @t81 @t139)) % 1.12/1.35 (define @t145 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 1.12/1.35 (define @t146 () (not (tptp.class_Lattices_Oupper__semilattice @t3))) % 1.12/1.35 (define @t147 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t88) @t86))) % 1.12/1.35 (define @t148 () (tptp.hAPP @t46 @t1)) % 1.12/1.35 (define @t149 () (tptp.hBOOL (tptp.hAPP @t148 @t86))) % 1.12/1.35 (define @t150 () (tptp.hAPP @t46 @t25)) % 1.12/1.35 (define @t151 () (tptp.hBOOL (tptp.hAPP @t150 @t86))) % 1.12/1.35 (define @t152 () (@var "V_w" $$unsorted)) % 1.12/1.35 (define @t153 () (= @t25 @t86)) % 1.12/1.35 (define @t154 () (tptp.hAPP @t42 @t1)) % 1.12/1.35 (define @t155 () (tptp.hAPP @t154 @t25)) % 1.12/1.35 (define @t156 () (tptp.hAPP @t42 @t152)) % 1.12/1.35 (define @t157 () (tptp.hAPP @t154 @t86)) % 1.12/1.35 (define @t158 () (not (tptp.class_Int_Onumber__ring @t3))) % 1.12/1.35 (define @t159 () (not (tptp.class_Ring__and__Field_Oidom @t3))) % 1.12/1.35 (define @t160 () (= @t2 @t8)) % 1.12/1.35 (define @t161 () (tptp.hAPP @t49 @t45)) % 1.12/1.35 (define @t162 () (tptp.hAPP @t52 @t45)) % 1.12/1.35 (define @t163 () (tptp.hAPP @t43 @t162)) % 1.12/1.35 (define @t164 () (@list @t3 @t2 @t45 @t8 @t38)) % 1.12/1.35 (define @t165 () (@var "V_n" $$unsorted)) % 1.12/1.35 (define @t166 () (tptp.c_HOL_Ominus__class_Ominus tptp.tc_nat)) % 1.12/1.35 (define @t167 () (tptp.hAPP @t166 @t98)) % 1.12/1.35 (define @t168 () (tptp.hAPP @t167 @t165)) % 1.12/1.35 (define @t169 () (tptp.c_Suc @t165)) % 1.12/1.35 (define @t170 () (tptp.c_Suc @t98)) % 1.12/1.35 (define @t171 () (tptp.hAPP @t166 @t170)) % 1.12/1.35 (define @t172 () (@list @t98 @t165)) % 1.12/1.35 (define @t173 () (tptp.hAPP @t46 @t2)) % 1.12/1.35 (define @t174 () (tptp.hBOOL (tptp.hAPP @t173 @t8))) % 1.12/1.35 (define @t175 () (not @t174)) % 1.12/1.35 (define @t176 () (tptp.c_HOL_Ouminus__class_Ouminus @t3)) % 1.12/1.35 (define @t177 () (tptp.hAPP @t176 @t2)) % 1.12/1.35 (define @t178 () (tptp.hAPP @t176 @t8)) % 1.12/1.35 (define @t179 () (tptp.hAPP @t46 @t178)) % 1.12/1.35 (define @t180 () (tptp.hBOOL (tptp.hAPP @t179 @t177))) % 1.12/1.35 (define @t181 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t3))) % 1.12/1.35 (define @t182 () (@list @t3 @t8 @t2)) % 1.12/1.35 (define @t183 () (@list @t3 @t2 @t8)) % 1.12/1.35 (define @t184 () (tptp.c_HOL_Oord__class_Oless tptp.tc_nat)) % 1.12/1.35 (define @t185 () (tptp.hAPP @t184 @t98)) % 1.12/1.35 (define @t186 () (tptp.hBOOL (tptp.hAPP @t185 @t169))) % 1.12/1.35 (define @t187 () (not @t186)) % 1.12/1.35 (define @t188 () (tptp.hBOOL (tptp.hAPP @t185 @t165))) % 1.12/1.35 (define @t189 () (= @t98 @t165)) % 1.12/1.35 (define @t190 () (tptp.hAPP @t184 @t165)) % 1.12/1.35 (define @t191 () (tptp.hBOOL (tptp.hAPP @t190 @t98))) % 1.12/1.35 (define @t192 () (tptp.hBOOL (tptp.hAPP @t190 @t170))) % 1.12/1.35 (define @t193 () (not @t192)) % 1.12/1.35 (define @t194 () (= @t165 @t98)) % 1.12/1.35 (define @t195 () (@list @t165 @t98)) % 1.12/1.35 (define @t196 () (tptp.c_Orderings_Otop__class_Otop @t3)) % 1.12/1.35 (define @t197 () (not (= (tptp.hAPP (tptp.hAPP @t127 @t68) @t66) @t196))) % 1.12/1.35 (define @t198 () (not (tptp.class_Lattices_Obounded__lattice @t3))) % 1.12/1.35 (define @t199 () (@list @t3 @t68 @t66)) % 1.12/1.35 (define @t200 () (@var "V_ry" $$unsorted)) % 1.12/1.35 (define @t201 () (@var "V_ly" $$unsorted)) % 1.12/1.35 (define @t202 () (tptp.hAPP @t42 @t201)) % 1.12/1.35 (define @t203 () (@var "V_rx" $$unsorted)) % 1.12/1.35 (define @t204 () (@var "V_lx" $$unsorted)) % 1.12/1.35 (define @t205 () (tptp.hAPP @t42 @t204)) % 1.12/1.35 (define @t206 () (tptp.hAPP @t42 (tptp.hAPP @t205 @t203))) % 1.12/1.35 (define @t207 () (tptp.hAPP @t42 @t203)) % 1.12/1.35 (define @t208 () (tptp.hAPP @t207 @t200)) % 1.12/1.35 (define @t209 () (tptp.hAPP @t42 (tptp.hAPP @t205 @t201))) % 1.12/1.35 (define @t210 () (tptp.hAPP @t209 @t208)) % 1.12/1.35 (define @t211 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t3))) % 1.12/1.35 (define @t212 () (@list @t3 @t204 @t201 @t203 @t200)) % 1.12/1.35 (define @t213 () (tptp.hAPP @t80 @t139)) % 1.12/1.35 (define @t214 () (tptp.hAPP @t213 @t68)) % 1.12/1.35 (define @t215 () (tptp.c_HOL_Ominus__class_Ominus @t71)) % 1.12/1.35 (define @t216 () (tptp.hAPP @t215 @t68)) % 1.12/1.35 (define @t217 () (tptp.hAPP @t216 @t66)) % 1.12/1.35 (define @t218 () (@list @t3 @t139 @t68 @t66)) % 1.12/1.35 (define @t219 () (tptp.hAPP @t215 @t144)) % 1.12/1.35 (define @t220 () (tptp.hAPP @t219 @t141)) % 1.12/1.35 (define @t221 () (tptp.hAPP @t80 @t217)) % 1.12/1.35 (define @t222 () (@var "V_k" $$unsorted)) % 1.12/1.35 (define @t223 () (@var "V_j" $$unsorted)) % 1.12/1.35 (define @t224 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t223) @t222)))) % 1.12/1.35 (define @t225 () (@var "V_f" $$unsorted)) % 1.12/1.35 (define @t226 () (tptp.c_Fun_Ofun__upd @t225 @t1 @t25 @t3 @t65)) % 1.12/1.35 (define @t227 () (@list @t225 @t1 @t25 @t3 @t65 @t86)) % 1.12/1.35 (define @t228 () (@list @t3 @t1)) % 1.12/1.35 (define @t229 () (tptp.c_Orderings_Otop__class_Otop @t71)) % 1.12/1.35 (define @t230 () (@list @t3 @t66)) % 1.12/1.35 (define @t231 () (@list @t3 @t68)) % 1.12/1.35 (define @t232 () (@list @t3 @t68 @t139 @t66)) % 1.12/1.35 (define @t233 () (@var "V_u" $$unsorted)) % 1.12/1.35 (define @t234 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t98 @t233 @t3)) % 1.12/1.35 (define @t235 () (@var "V_l" $$unsorted)) % 1.12/1.35 (define @t236 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t235 @t98 @t3)) % 1.12/1.35 (define @t237 () (tptp.hAPP @t80 @t236)) % 1.12/1.35 (define @t238 () (not (tptp.class_Orderings_Oorder @t3))) % 1.12/1.35 (define @t239 () (@list @t3 @t235 @t98 @t233)) % 1.12/1.35 (define @t240 () (tptp.hBOOL (tptp.hAPP @t14 @t25))) % 1.12/1.35 (define @t241 () (not @t240)) % 1.12/1.35 (define @t242 () (tptp.hBOOL (tptp.hAPP @t92 @t1))) % 1.12/1.35 (define @t243 () (tptp.hBOOL (tptp.hAPP @t148 @t25))) % 1.12/1.35 (define @t244 () (not (tptp.class_Orderings_Opreorder @t3))) % 1.12/1.35 (define @t245 () (@list @t3 @t1 @t25)) % 1.12/1.35 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t71)) % 1.12/1.35 (define @t247 () (tptp.hAPP @t184 @t1)) % 1.12/1.35 (define @t248 () (tptp.hBOOL (tptp.hAPP @t247 @t1))) % 1.12/1.35 (define @t249 () (@list @t1)) % 1.12/1.35 (define @t250 () (@list @t165)) % 1.12/1.35 (define @t251 () (tptp.tc_fun @t3 @t65)) % 1.12/1.35 (define @t252 () (tptp.c_lessequals @t251)) % 1.12/1.35 (define @t253 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t252 @t225) @t67))) % 1.12/1.35 (define @t254 () (not @t253)) % 1.12/1.35 (define @t255 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t252 @t67) @t225))) % 1.12/1.35 (define @t256 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oord__class_Oless @t251) @t225) @t67))) % 1.12/1.35 (define @t257 () (not (tptp.class_HOL_Oord @t65))) % 1.12/1.35 (define @t258 () (@list @t65 @t3 @t225 @t67)) % 1.12/1.35 (define @t259 () (tptp.hBOOL (tptp.hAPP @t148 @t1))) % 1.12/1.35 (define @t260 () (not @t259)) % 1.12/1.35 (define @t261 () (tptp.hAPP @t145 @t1)) % 1.12/1.35 (define @t262 () (tptp.hAPP @t176 @t25)) % 1.12/1.35 (define @t263 () (tptp.hAPP @t176 @t1)) % 1.12/1.35 (define @t264 () (not (tptp.class_Lattices_Oboolean__algebra @t3))) % 1.12/1.35 (define @t265 () (not (tptp.class_OrderedGroup_Ogroup__add @t3))) % 1.12/1.35 (define @t266 () (= @t68 @t66)) % 1.12/1.35 (define @t267 () (tptp.c_HOL_Ouminus__class_Ouminus @t71)) % 1.12/1.35 (define @t268 () (tptp.hAPP @t267 @t66)) % 1.12/1.35 (define @t269 () (tptp.hAPP @t267 @t68)) % 1.12/1.35 (define @t270 () (tptp.hAPP @t4 @t45)) % 1.12/1.35 (define @t271 () (tptp.hBOOL (tptp.hAPP @t270 @t2))) % 1.12/1.35 (define @t272 () (not @t271)) % 1.12/1.35 (define @t273 () (tptp.hBOOL (tptp.hAPP @t118 @t38))) % 1.12/1.35 (define @t274 () (not @t273)) % 1.12/1.35 (define @t275 () (tptp.hAPP @t46 @t8)) % 1.12/1.35 (define @t276 () (tptp.hBOOL (tptp.hAPP @t275 @t38))) % 1.12/1.35 (define @t277 () (tptp.hBOOL (tptp.hAPP @t270 @t38))) % 1.12/1.35 (define @t278 () (not @t277)) % 1.12/1.35 (define @t279 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t45 @t38 @t3)) % 1.12/1.35 (define @t280 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t2 @t8 @t3)) % 1.12/1.35 (define @t281 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t280) @t279))) % 1.12/1.35 (define @t282 () (@list @t3 @t2 @t8 @t45 @t38)) % 1.12/1.35 (define @t283 () (tptp.hBOOL (tptp.hAPP @t47 @t2))) % 1.12/1.35 (define @t284 () (@var "V_times" $$unsorted)) % 1.12/1.35 (define @t285 () (not (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t284 @t3))) % 1.12/1.35 (define @t286 () (tptp.hAPP @t284 @t1)) % 1.12/1.35 (define @t287 () (tptp.hAPP @t286 @t25)) % 1.12/1.35 (define @t288 () (tptp.hBOOL (tptp.hAPP @t150 @t1))) % 1.12/1.35 (define @t289 () (@list @t3 @t25 @t1)) % 1.12/1.35 (define @t290 () (tptp.c_lessequals tptp.tc_nat)) % 1.12/1.35 (define @t291 () (tptp.hAPP @t290 @t98)) % 1.12/1.35 (define @t292 () (tptp.hBOOL (tptp.hAPP @t291 @t165))) % 1.12/1.35 (define @t293 () (not @t292)) % 1.12/1.35 (define @t294 () (tptp.hAPP @t290 @t165)) % 1.12/1.35 (define @t295 () (tptp.hBOOL (tptp.hAPP @t294 @t98))) % 1.12/1.35 (define @t296 () (not @t295)) % 1.12/1.35 (define @t297 () (@var "V_P" $$unsorted)) % 1.12/1.35 (define @t298 () (tptp.hBOOL (tptp.hAPP @t247 @t25))) % 1.12/1.35 (define @t299 () (not (tptp.hBOOL (tptp.hAPP @t47 @t38)))) % 1.12/1.35 (define @t300 () (tptp.hAPP @t43 @t8)) % 1.12/1.35 (define @t301 () (tptp.hAPP @t300 @t38)) % 1.12/1.35 (define @t302 () (tptp.hAPP @t43 @t2)) % 1.12/1.35 (define @t303 () (tptp.hAPP @t302 @t45)) % 1.12/1.35 (define @t304 () (tptp.hAPP @t46 @t303)) % 1.12/1.35 (define @t305 () (tptp.hBOOL (tptp.hAPP @t304 @t301))) % 1.12/1.35 (define @t306 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t3))) % 1.12/1.35 (define @t307 () (tptp.hAPP @t261 @t25)) % 1.12/1.35 (define @t308 () (not (tptp.hBOOL (tptp.hAPP @t275 @t1)))) % 1.12/1.35 (define @t309 () (tptp.hAPP @t127 @t2)) % 1.12/1.35 (define @t310 () (tptp.hAPP @t309 @t8)) % 1.12/1.35 (define @t311 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t310) @t1))) % 1.12/1.35 (define @t312 () (not (tptp.hBOOL (tptp.hAPP @t173 @t1)))) % 1.12/1.35 (define @t313 () (tptp.hAPP @t290 @t1)) % 1.12/1.35 (define @t314 () (tptp.hAPP @t246 @t68)) % 1.12/1.35 (define @t315 () (tptp.hBOOL (tptp.hAPP @t314 @t66))) % 1.12/1.35 (define @t316 () (not @t315)) % 1.12/1.35 (define @t317 () (tptp.c_lessequals @t71)) % 1.12/1.35 (define @t318 () (tptp.hAPP @t317 @t68)) % 1.12/1.35 (define @t319 () (tptp.hBOOL (tptp.hAPP @t318 @t66))) % 1.12/1.35 (define @t320 () (not @t188)) % 1.12/1.35 (define @t321 () (not @t256)) % 1.12/1.35 (define @t322 () (not @t243)) % 1.12/1.35 (define @t323 () (tptp.hAPP @t302 @t8)) % 1.12/1.35 (define @t324 () (tptp.hAPP @t43 @t177)) % 1.12/1.35 (define @t325 () (tptp.hAPP @t43 @t25)) % 1.12/1.35 (define @t326 () (tptp.hAPP @t325 @t86)) % 1.12/1.35 (define @t327 () (tptp.hAPP @t176 @t86)) % 1.12/1.35 (define @t328 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 1.12/1.35 (define @t329 () (tptp.c_Finite__Set_Osetsum @t225 @t66 @t3 @t65)) % 1.12/1.35 (define @t330 () (tptp.c_Finite__Set_Osetsum @t225 @t68 @t3 @t65)) % 1.12/1.35 (define @t331 () (tptp.c_HOL_Ominus__class_Ominus @t65)) % 1.12/1.35 (define @t332 () (not (tptp.class_OrderedGroup_Oab__group__add @t65))) % 1.12/1.35 (define @t333 () (@list @t65 @t225 @t3 @t68 @t66)) % 1.12/1.35 (define @t334 () (not @t119)) % 1.12/1.35 (define @t335 () (not @t91)) % 1.12/1.35 (define @t336 () (not @t93)) % 1.12/1.35 (define @t337 () (tptp.hAPP @t9 @t25)) % 1.12/1.35 (define @t338 () (tptp.hAPP @t337 @t86)) % 1.12/1.35 (define @t339 () (tptp.hBOOL (tptp.hAPP @t14 @t338))) % 1.12/1.35 (define @t340 () (not @t339)) % 1.12/1.35 (define @t341 () (tptp.hAPP @t49 @t8)) % 1.12/1.35 (define @t342 () (tptp.hAPP @t166 @t235)) % 1.12/1.35 (define @t343 () (tptp.hAPP @t342 @t98)) % 1.12/1.35 (define @t344 () (tptp.hAPP @t342 @t165)) % 1.12/1.35 (define @t345 () (@list @t235 @t165 @t98)) % 1.12/1.35 (define @t346 () (tptp.hAPP @t43 @t1)) % 1.12/1.35 (define @t347 () (tptp.hAPP @t346 @t25)) % 1.12/1.35 (define @t348 () (tptp.hAPP @t300 @t2)) % 1.12/1.35 (define @t349 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t3))) % 1.12/1.35 (define @t350 () (tptp.hAPP @t43 @t45)) % 1.12/1.35 (define @t351 () (tptp.hAPP @t350 @t2)) % 1.12/1.35 (define @t352 () (tptp.tc_fun @t3 @t3)) % 1.12/1.35 (define @t353 () (tptp.c_Finite__Set_Ofold__image @t225 @t67 @t3 @t65)) % 1.12/1.35 (define @t354 () (tptp.hAPP @t171 @t165)) % 1.12/1.35 (define @t355 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t54) @t51))) % 1.12/1.35 (define @t356 () (not @t355)) % 1.12/1.35 (define @t357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t62) @t38))) % 1.12/1.35 (define @t358 () (tptp.hBOOL (tptp.hAPP @t270 @t44))) % 1.12/1.35 (define @t359 () (tptp.hAPP @t145 @t2)) % 1.12/1.35 (define @t360 () (tptp.hAPP @t359 @t8)) % 1.12/1.35 (define @t361 () (tptp.hAPP @t43 @t360)) % 1.12/1.35 (define @t362 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t3))) % 1.12/1.35 (define @t363 () (tptp.hAPP @t290 @t169)) % 1.12/1.35 (define @t364 () (tptp.hBOOL (tptp.hAPP @t363 @t98))) % 1.12/1.35 (define @t365 () (not @t364)) % 1.12/1.35 (define @t366 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t170) @t165))) % 1.12/1.35 (define @t367 () (not @t366)) % 1.12/1.35 (define @t368 () (tptp.hAPP @t87 @t86)) % 1.12/1.35 (define @t369 () (tptp.hAPP (tptp.hAPP @t95 @t88) @t368)) % 1.12/1.35 (define @t370 () (tptp.hAPP @t95 @t25)) % 1.12/1.35 (define @t371 () (tptp.hAPP @t370 @t86)) % 1.12/1.35 (define @t372 () (tptp.hAPP @t87 @t371)) % 1.12/1.35 (define @t373 () (tptp.hAPP @t337 @t1)) % 1.12/1.35 (define @t374 () (tptp.c_Finite__Set_Ocard @t66 @t3)) % 1.12/1.35 (define @t375 () (tptp.c_Finite__Set_Ocard @t68 @t3)) % 1.12/1.35 (define @t376 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t375) @t374))) % 1.12/1.35 (define @t377 () (@list @t68 @t3 @t66)) % 1.12/1.35 (define @t378 () (not @t242)) % 1.12/1.35 (define @t379 () (not (= @t54 @t51))) % 1.12/1.35 (define @t380 () (not (tptp.class_Ring__and__Field_Oring @t3))) % 1.12/1.35 (define @t381 () (tptp.hAPP @t21 @t25)) % 1.12/1.35 (define @t382 () (tptp.hAPP @t381 @t86)) % 1.12/1.35 (define @t383 () (tptp.hAPP @t26 @t382)) % 1.12/1.35 (define @t384 () (@list @t21 @t1 @t25 @t86 @t23 @t22 @t3)) % 1.12/1.35 (define @t385 () (tptp.hAPP @t317 @t66)) % 1.12/1.35 (define @t386 () (tptp.hBOOL (tptp.hAPP @t385 @t68))) % 1.12/1.35 (define @t387 () (not @t386)) % 1.12/1.35 (define @t388 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t269) @t268))) % 1.12/1.35 (define @t389 () (@list @t3 @t66 @t68)) % 1.12/1.35 (define @t390 () (not @t319)) % 1.12/1.35 (define @t391 () (tptp.hBOOL (tptp.hAPP @t5 @t8))) % 1.12/1.35 (define @t392 () (not @t391)) % 1.12/1.35 (define @t393 () (tptp.hAPP @t4 @t178)) % 1.12/1.35 (define @t394 () (tptp.hBOOL (tptp.hAPP @t393 @t177))) % 1.12/1.35 (define @t395 () (tptp.hAPP @t80 @t269)) % 1.12/1.35 (define @t396 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 1.12/1.35 (define @t397 () (tptp.hAPP @t127 @t263)) % 1.12/1.35 (define @t398 () (tptp.hAPP (tptp.hAPP @t40 @t25) @t86)) % 1.12/1.35 (define @t399 () (tptp.hAPP @t40 @t1)) % 1.12/1.35 (define @t400 () (tptp.hAPP @t399 @t86)) % 1.12/1.35 (define @t401 () (not @t149)) % 1.12/1.35 (define @t402 () (not @t151)) % 1.12/1.35 (define @t403 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t100) @t86))) % 1.12/1.35 (define @t404 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t222) @t235))) % 1.12/1.35 (define @t405 () (not @t404)) % 1.12/1.35 (define @t406 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t222 @t235 @t3)) % 1.12/1.35 (define @t407 () (= @t406 @t79)) % 1.12/1.35 (define @t408 () (@list @t3 @t222 @t235)) % 1.12/1.35 (define @t409 () (not @t124)) % 1.12/1.35 (define @t410 () (not @t125)) % 1.12/1.35 (define @t411 () (tptp.hBOOL (tptp.hAPP @t122 @t88))) % 1.12/1.35 (define @t412 () (tptp.hAPP @t154 @t45)) % 1.12/1.35 (define @t413 () (tptp.hAPP @t154 @t38)) % 1.12/1.35 (define @t414 () (tptp.hAPP (tptp.hAPP @t43 @t155) @t157)) % 1.12/1.35 (define @t415 () (tptp.hAPP (tptp.hAPP @t9 @t8) @t38)) % 1.12/1.35 (define @t416 () (tptp.hAPP @t112 @t45)) % 1.12/1.35 (define @t417 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t45 @t38 @t3)) % 1.12/1.35 (define @t418 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t2 @t8 @t3)) % 1.12/1.35 (define @t419 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t98 @t233 @t3)) % 1.12/1.35 (define @t420 () (tptp.hAPP @t4 @t303)) % 1.12/1.35 (define @t421 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t3))) % 1.12/1.35 (define @t422 () (tptp.hAPP @t140 @t68)) % 1.12/1.35 (define @t423 () (tptp.hAPP @t72 @t66)) % 1.12/1.35 (define @t424 () (tptp.hAPP @t423 @t139)) % 1.12/1.35 (define @t425 () (@list @t3 @t66 @t139 @t68)) % 1.12/1.35 (define @t426 () (tptp.hAPP @t72 @t82)) % 1.12/1.35 (define @t427 () (tptp.hAPP @t81 @t424)) % 1.12/1.35 (define @t428 () (tptp.hAPP (tptp.hAPP @t145 @t132) @t136)) % 1.12/1.35 (define @t429 () (tptp.hAPP @t145 @t25)) % 1.12/1.35 (define @t430 () (tptp.hAPP @t429 @t86)) % 1.12/1.35 (define @t431 () (tptp.hAPP @t130 @t430)) % 1.12/1.35 (define @t432 () (not (tptp.class_Lattices_Odistrib__lattice @t3))) % 1.12/1.35 (define @t433 () (tptp.hAPP @t128 @t1)) % 1.12/1.35 (define @t434 () (tptp.hBOOL (tptp.hAPP @t247 @t34))) % 1.12/1.35 (define @t435 () (tptp.hBOOL (tptp.hAPP @t313 @t1))) % 1.12/1.35 (define @t436 () (tptp.hAPP @t42 @t25)) % 1.12/1.35 (define @t437 () (tptp.hAPP @t52 @t8)) % 1.12/1.35 (define @t438 () (= (tptp.hAPP @t302 (tptp.hAPP (tptp.hAPP @t145 @t8) @t45)) (tptp.hAPP (tptp.hAPP @t145 @t323) @t303))) % 1.12/1.35 (define @t439 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__join @t3))) % 1.12/1.35 (define @t440 () (@list @t3 @t2 @t8 @t45)) % 1.12/1.35 (define @t441 () (tptp.hAPP @t300 @t45)) % 1.12/1.35 (define @t442 () (= (tptp.hAPP @t361 @t45) (tptp.hAPP (tptp.hAPP @t145 @t303) @t441))) % 1.12/1.35 (define @t443 () (tptp.c_Finite__Set_Ofold @t127 @t3 @t3)) % 1.12/1.35 (define @t444 () (tptp.c_Complete__Lattice_OInf__class_OInf @t68 @t3)) % 1.12/1.35 (define @t445 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t3))) % 1.12/1.35 (define @t446 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t66) @t139)))) % 1.12/1.35 (define @t447 () (tptp.hBOOL (tptp.hAPP @t314 @t139))) % 1.12/1.35 (define @t448 () (not @t288)) % 1.12/1.35 (define @t449 () (= @t100 @t25)) % 1.12/1.35 (define @t450 () (tptp.hAPP @t346 @t326)) % 1.12/1.35 (define @t451 () (tptp.hAPP @t346 @t86)) % 1.12/1.35 (define @t452 () (tptp.hAPP @t302 @t441)) % 1.12/1.35 (define @t453 () (tptp.hAPP @t43 @t323)) % 1.12/1.35 (define @t454 () (tptp.hAPP @t453 @t45)) % 1.12/1.35 (define @t455 () (= @t454 @t452)) % 1.12/1.35 (define @t456 () (tptp.hAPP @t43 @t303)) % 1.12/1.35 (define @t457 () (tptp.hAPP @t350 @t38)) % 1.12/1.35 (define @t458 () (tptp.hAPP @t302 @t457)) % 1.12/1.35 (define @t459 () (@list @t3 @t2 @t45 @t38)) % 1.12/1.35 (define @t460 () (@var "V_i" $$unsorted)) % 1.12/1.35 (define @t461 () (@list @t460 @t222 @t223)) % 1.12/1.35 (define @t462 () (tptp.hBOOL (tptp.hAPP @t420 @t441))) % 1.12/1.35 (define @t463 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t3))) % 1.12/1.35 (define @t464 () (@list @t3 @t2 @t45 @t8)) % 1.12/1.35 (define @t465 () (tptp.hAPP @t350 @t8)) % 1.12/1.35 (define @t466 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t351) @t465))) % 1.12/1.35 (define @t467 () (@list @t3 @t45 @t2 @t8)) % 1.12/1.35 (define @t468 () (tptp.hAPP @t52 @t178)) % 1.12/1.35 (define @t469 () (tptp.hAPP @t176 @t437)) % 1.12/1.35 (define @t470 () (tptp.hAPP @t42 @t177)) % 1.12/1.35 (define @t471 () (tptp.hAPP @t470 @t8)) % 1.12/1.35 (define @t472 () (tptp.hAPP @t225 @t1)) % 1.12/1.35 (define @t473 () (@list @t225 @t1 @t65 @t3)) % 1.12/1.35 (define @t474 () (tptp.c_Fun_Ofun__upd @t225 @t1 @t25 @t65 @t3)) % 1.12/1.35 (define @t475 () (@var "T_aa" $$unsorted)) % 1.12/1.35 (define @t476 () (tptp.hAPP @t21 @t2)) % 1.12/1.35 (define @t477 () (tptp.hAPP @t476 @t8)) % 1.12/1.35 (define @t478 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t477) @t1))) % 1.12/1.35 (define @t479 () (@list @t22 @t21 @t2 @t8 @t1 @t23 @t3)) % 1.12/1.35 (define @t480 () (tptp.hBOOL (tptp.hAPP @t29 @t382))) % 1.12/1.35 (define @t481 () (not @t480)) % 1.12/1.35 (define @t482 () (tptp.hBOOL (tptp.hAPP @t29 @t86))) % 1.12/1.35 (define @t483 () (tptp.hBOOL (tptp.hAPP @t29 @t477))) % 1.12/1.35 (define @t484 () (not @t483)) % 1.12/1.35 (define @t485 () (tptp.hBOOL (tptp.hAPP @t29 @t2))) % 1.12/1.35 (define @t486 () (tptp.hBOOL (tptp.hAPP @t29 @t8))) % 1.12/1.35 (define @t487 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t477) @t1))) % 1.12/1.35 (define @t488 () (@list @t23 @t21 @t2 @t8 @t1 @t22 @t3)) % 1.12/1.35 (define @t489 () (tptp.c_COMBC @t46 @t3 @t3 tptp.tc_bool)) % 1.12/1.35 (define @t490 () (tptp.c_COMBC @t4 @t3 @t3 tptp.tc_bool)) % 1.12/1.35 (define @t491 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t3))) % 1.12/1.35 (define @t492 () (tptp.hAPP @t4 @t132)) % 1.12/1.35 (define @t493 () (tptp.hBOOL (tptp.hAPP @t492 @t1))) % 1.12/1.35 (define @t494 () (tptp.hBOOL (tptp.hAPP @t492 @t25))) % 1.12/1.35 (define @t495 () (tptp.hBOOL (tptp.hAPP @t14 @t129))) % 1.12/1.35 (define @t496 () (tptp.hBOOL (tptp.hAPP @t14 @t310))) % 1.12/1.35 (define @t497 () (tptp.hAPP @t317 @t82)) % 1.12/1.35 (define @t498 () (tptp.hAPP @t317 @t139)) % 1.12/1.35 (define @t499 () (tptp.hBOOL (tptp.hAPP @t498 @t68))) % 1.12/1.35 (define @t500 () (not @t499)) % 1.12/1.35 (define @t501 () (tptp.hBOOL (tptp.hAPP @t498 @t66))) % 1.12/1.35 (define @t502 () (tptp.hBOOL (tptp.hAPP @t498 @t82))) % 1.12/1.35 (define @t503 () (tptp.hBOOL (tptp.hAPP @t291 @t169))) % 1.12/1.35 (define @t504 () (tptp.hAPP @t68 tptp.v_x)) % 1.12/1.35 (define @t505 () (tptp.tc_fun tptp.t_a @t65)) % 1.12/1.35 (define @t506 () (tptp.hAPP @t429 @t1)) % 1.12/1.35 (define @t507 () (tptp.hAPP @t261 @t86)) % 1.12/1.35 (define @t508 () (tptp.hAPP (tptp.hAPP @t127 @t307) @t507)) % 1.12/1.35 (define @t509 () (tptp.hAPP @t261 @t129)) % 1.12/1.35 (define @t510 () (tptp.hAPP @t73 @t139)) % 1.12/1.35 (define @t511 () (tptp.hAPP @t80 @t74)) % 1.12/1.35 (define @t512 () (tptp.hAPP @t72 @t139)) % 1.12/1.35 (define @t513 () (tptp.hAPP @t512 @t68)) % 1.12/1.35 (define @t514 () (tptp.hAPP @t423 @t68)) % 1.12/1.35 (define @t515 () (tptp.hAPP @t290 @t222)) % 1.12/1.35 (define @t516 () (not (tptp.hBOOL (tptp.hAPP @t515 @t98)))) % 1.12/1.35 (define @t517 () (not (tptp.hBOOL (tptp.hAPP @t515 @t165)))) % 1.12/1.35 (define @t518 () (tptp.hAPP @t166 @t165)) % 1.12/1.35 (define @t519 () (tptp.hAPP @t518 @t222)) % 1.12/1.35 (define @t520 () (tptp.hAPP @t167 @t222)) % 1.12/1.35 (define @t521 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t520) @t519))) % 1.12/1.35 (define @t522 () (@list @t98 @t165 @t222)) % 1.12/1.35 (define @t523 () (@list @t98 @t222 @t165)) % 1.12/1.35 (define @t524 () (= (tptp.hAPP @t130 @t132) @t132)) % 1.12/1.35 (define @t525 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t98 @t233 @t3)) % 1.12/1.35 (define @t526 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t235 @t98 @t3)) % 1.12/1.35 (define @t527 () (tptp.hBOOL (tptp.hAPP @t304 @t441))) % 1.12/1.35 (define @t528 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t351) @t465))) % 1.12/1.35 (define @t529 () (tptp.hAPP @t67 tptp.v_x)) % 1.12/1.35 (define @t530 () (tptp.hAPP @t225 tptp.v_x)) % 1.12/1.35 (define @t531 () (not (tptp.class_Lattices_Olattice @t65))) % 1.12/1.35 (define @t532 () (@list @t65 @t225 @t67)) % 1.12/1.35 (define @t533 () (tptp.hAPP @t290 @t460)) % 1.12/1.35 (define @t534 () (tptp.hBOOL (tptp.hAPP @t385 @t139))) % 1.12/1.35 (define @t535 () (not @t534)) % 1.12/1.35 (define @t536 () (= @t418 @t79)) % 1.12/1.35 (define @t537 () (= @t79 @t406)) % 1.12/1.35 (define @t538 () (tptp.hBOOL (tptp.hAPP @t318 @t139))) % 1.12/1.35 (define @t539 () (not @t538)) % 1.12/1.35 (define @t540 () (@var "V_D" $$unsorted)) % 1.12/1.35 (define @t541 () (not (tptp.hBOOL (tptp.hAPP @t385 @t540)))) % 1.12/1.35 (define @t542 () (@list @t3 @t68 @t66 @t139 @t540)) % 1.12/1.35 (define @t543 () (tptp.hAPP @t215 @t66)) % 1.12/1.35 (define @t544 () (tptp.hAPP @t543 @t139)) % 1.12/1.35 (define @t545 () (tptp.hAPP @t184 @t170)) % 1.12/1.35 (define @t546 () (tptp.hBOOL (tptp.hAPP @t545 @t165))) % 1.12/1.35 (define @t547 () (@var "V_r" $$unsorted)) % 1.12/1.35 (define @t548 () (tptp.c_Finite__Set_Osetsum @t225 @t68 @t65 @t3)) % 1.12/1.35 (define @t549 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t3))) % 1.12/1.35 (define @t550 () (tptp.hBOOL (tptp.hAPP @t68 @t1))) % 1.12/1.35 (define @t551 () (not @t550)) % 1.12/1.35 (define @t552 () (tptp.hBOOL (tptp.hAPP @t66 @t1))) % 1.12/1.35 (define @t553 () (not @t552)) % 1.12/1.35 (define @t554 () (tptp.hBOOL (tptp.hAPP @t82 @t1))) % 1.12/1.35 (define @t555 () (@list @t3 @t68 @t66 @t1)) % 1.12/1.35 (define @t556 () (= @t86 @t1)) % 1.12/1.35 (define @t557 () (tptp.hAPP @t225 @t86)) % 1.12/1.35 (define @t558 () (tptp.hAPP @t99 @t86)) % 1.12/1.35 (define @t559 () (tptp.hAPP (tptp.hAPP @t9 @t100) @t558)) % 1.12/1.35 (define @t560 () (tptp.hAPP @t99 @t338)) % 1.12/1.35 (define @t561 () (tptp.hAPP (tptp.hAPP @t127 @t177) @t178)) % 1.12/1.35 (define @t562 () (@var "V_y_H" $$unsorted)) % 1.12/1.35 (define @t563 () (@var "V_x_H" $$unsorted)) % 1.12/1.35 (define @t564 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t563) @t562))) % 1.12/1.35 (define @t565 () (tptp.hAPP (tptp.hAPP @t40 @t563) @t562)) % 1.12/1.35 (define @t566 () (tptp.hAPP @t399 @t25)) % 1.12/1.35 (define @t567 () (not (= @t566 @t565))) % 1.12/1.35 (define @t568 () (@list @t3 @t1 @t25 @t563 @t562)) % 1.12/1.35 (define @t569 () (tptp.hAPP @t370 @t1)) % 1.12/1.35 (define @t570 () (tptp.hBOOL (tptp.hAPP @t118 @t2))) % 1.12/1.35 (define @t571 () (not @t570)) % 1.12/1.35 (define @t572 () (tptp.hBOOL (tptp.hAPP @t275 @t2))) % 1.12/1.35 (define @t573 () (= @t88 @t1)) % 1.12/1.35 (define @t574 () (@var "V_Q" $$unsorted)) % 1.12/1.35 (define @t575 () (@var "V_R" $$unsorted)) % 1.12/1.35 (define @t576 () (tptp.hAPP @t297 @t575)) % 1.12/1.35 (define @t577 () (@var "T_c" $$unsorted)) % 1.12/1.35 (define @t578 () (tptp.hBOOL (tptp.hAPP @t14 @t1))) % 1.12/1.35 (define @t579 () (= (tptp.hAPP @t302 (tptp.hAPP (tptp.hAPP @t127 @t8) @t45)) (tptp.hAPP (tptp.hAPP @t127 @t323) @t303))) % 1.12/1.35 (define @t580 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t3))) % 1.12/1.35 (define @t581 () (= (tptp.hAPP (tptp.hAPP @t43 @t310) @t45) (tptp.hAPP (tptp.hAPP @t127 @t303) @t441))) % 1.12/1.35 (define @t582 () (tptp.hAPP @t87 @t338)) % 1.12/1.35 (define @t583 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t520) @t519))) % 1.12/1.35 (define @t584 () (tptp.hAPP @t42 @t547)) % 1.12/1.35 (define @t585 () (tptp.hAPP @t23 @t27)) % 1.12/1.35 (define @t586 () (@list @t23 @t21 @t1 @t25 @t22 @t3)) % 1.12/1.35 (define @t587 () (= @t132 @t1)) % 1.12/1.35 (define @t588 () (not (tptp.hBOOL (tptp.hAPP @t148 @t2)))) % 1.12/1.35 (define @t589 () (tptp.hBOOL (tptp.hAPP @t148 @t113))) % 1.12/1.35 (define @t590 () (not (tptp.hBOOL (tptp.hAPP @t148 @t8)))) % 1.12/1.35 (define @t591 () (not @t403)) % 1.12/1.35 (define @t592 () (= @t132 @t433)) % 1.12/1.35 (define @t593 () (tptp.hAPP @t42 @t323)) % 1.12/1.35 (define @t594 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t10) @t1))) % 1.12/1.35 (define @t595 () (not @t411)) % 1.12/1.35 (define @t596 () (tptp.hAPP @t166 @t460)) % 1.12/1.35 (define @t597 () (tptp.c_Set_Ovimage @t225 @t68 @t3 @t65)) % 1.12/1.35 (define @t598 () (tptp.tc_fun @t65 tptp.tc_bool)) % 1.12/1.35 (define @t599 () (tptp.c_HOL_Ouminus__class_Ouminus @t598)) % 1.12/1.35 (define @t600 () (= @t8 @t45)) % 1.12/1.35 (define @t601 () (not (= @t323 @t303))) % 1.12/1.35 (define @t602 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t3))) % 1.12/1.35 (define @t603 () (@list @t3 @t8 @t2 @t45)) % 1.12/1.35 (define @t604 () (not @t502)) % 1.12/1.35 (define @t605 () (not @t496)) % 1.12/1.35 (define @t606 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t310) @t1))) % 1.12/1.35 (define @t607 () (not @t495)) % 1.12/1.35 (define @t608 () (= @t566 (tptp.hAPP @t346 @t262))) % 1.12/1.35 (define @t609 () (= @t61 (tptp.hAPP @t302 @t178))) % 1.12/1.35 (define @t610 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t235 @t98 @t3)) % 1.12/1.35 (define @t611 () (tptp.hBOOL (tptp.c_in @t2 @t68 @t3))) % 1.12/1.35 (define @t612 () (not @t611)) % 1.12/1.35 (define @t613 () (tptp.hAPP @t443 @t8)) % 1.12/1.35 (define @t614 () (tptp.hAPP @t613 @t68)) % 1.12/1.35 (define @t615 () (tptp.hAPP (tptp.hAPP @t145 @t177) @t178)) % 1.12/1.35 (define @t616 () (tptp.hAPP @t72 @t269)) % 1.12/1.35 (define @t617 () (tptp.hAPP @t145 @t263)) % 1.12/1.35 (define @t618 () (= @t79 @t418)) % 1.12/1.35 (define @t619 () (not @t281)) % 1.12/1.35 (define @t620 () (@list @t68 @t66 @t3)) % 1.12/1.35 (define @t621 () (tptp.hBOOL (tptp.hAPP @t363 @t170))) % 1.12/1.35 (define @t622 () (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t3))) % 1.12/1.35 (define @t623 () (tptp.hAPP @t209 @t203)) % 1.12/1.35 (define @t624 () (@list @t3 @t204 @t201 @t203)) % 1.12/1.35 (define @t625 () (tptp.hAPP @t205 @t208)) % 1.12/1.35 (define @t626 () (@list @t3 @t204 @t203 @t200)) % 1.12/1.35 (define @t627 () (= (tptp.hAPP @t593 @t45) (tptp.hAPP @t163 @t161))) % 1.12/1.35 (define @t628 () (tptp.hAPP @t176 @t323)) % 1.12/1.35 (define @t629 () (not @t572)) % 1.12/1.35 (define @t630 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t69 @t67 @t65 @t3) @t86)) % 1.12/1.35 (define @t631 () (tptp.hAPP @t67 @t2)) % 1.12/1.35 (define @t632 () (tptp.c_Set_Oinsert @t2 @t68 @t3)) % 1.12/1.35 (define @t633 () (@list @t65 @t67 @t3 @t86 @t2 @t68)) % 1.12/1.35 (define @t634 () (@var "V_F" $$unsorted)) % 1.12/1.35 (define @t635 () (tptp.c_Finite__Set_Ofinite @t634 @t3)) % 1.12/1.35 (define @t636 () (not @t635)) % 1.12/1.35 (define @t637 () (tptp.hAPP @t225 @t2)) % 1.12/1.35 (define @t638 () (tptp.hAPP @t69 @t637)) % 1.12/1.35 (define @t639 () (tptp.c_HOL_Otimes__class_Otimes @t65)) % 1.12/1.35 (define @t640 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t639 @t67 @t65 @t3) @t86)) % 1.12/1.35 (define @t641 () (tptp.c_Finite__Set_Osetsum @t225 @t68 @t3 tptp.tc_nat)) % 1.12/1.35 (define @t642 () (tptp.hAPP @t166 @t641)) % 1.12/1.35 (define @t643 () (tptp.hAPP @t166 @t375)) % 1.12/1.35 (define @t644 () (tptp.c_Finite__Set_Ocard @t217 @t3)) % 1.12/1.35 (define @t645 () (tptp.c_Finite__Set_Ofold1 @t284 @t3)) % 1.12/1.35 (define @t646 () (= (tptp.hAPP @t645 @t632) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t284 @t3 @t3) @t2) @t68))) % 1.12/1.35 (define @t647 () (@list @t284 @t3 @t2 @t68)) % 1.12/1.35 (define @t648 () (tptp.c_Finite__Set_Ofold1 @t42 @t3)) % 1.12/1.35 (define @t649 () (= (tptp.hAPP @t648 @t632) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t42 @t3 @t3) @t2) @t68))) % 1.12/1.35 (define @t650 () (@list @t3 @t2 @t68)) % 1.12/1.35 (define @t651 () (tptp.hBOOL (tptp.c_in @t1 @t68 @t3))) % 1.12/1.35 (define @t652 () (not @t651)) % 1.12/1.35 (define @t653 () (tptp.hBOOL (tptp.c_in @t1 @t66 @t3))) % 1.12/1.35 (define @t654 () (not @t653)) % 1.12/1.35 (define @t655 () (@list @t1 @t66 @t3 @t68)) % 1.12/1.35 (define @t656 () (tptp.hAPP @t4 @t235)) % 1.12/1.35 (define @t657 () (tptp.hAPP @t472 @t25)) % 1.12/1.35 (define @t658 () (tptp.c_Set_Oinsert @t1 @t68 @t3)) % 1.12/1.35 (define @t659 () (tptp.hBOOL (tptp.c_in @t2 @t139 @t3))) % 1.12/1.35 (define @t660 () (tptp.c_Set_Oinsert @t2 @t66 @t3)) % 1.12/1.35 (define @t661 () (tptp.hAPP (tptp.hAPP @t80 @t660) @t139)) % 1.12/1.35 (define @t662 () (@list @t3 @t2 @t66 @t139)) % 1.12/1.35 (define @t663 () (tptp.hAPP @t81 @t660)) % 1.12/1.35 (define @t664 () (@list @t3 @t68 @t2 @t66)) % 1.12/1.35 (define @t665 () (tptp.c_Set_Oinsert @t1 @t66 @t3)) % 1.12/1.35 (define @t666 () (tptp.hBOOL (tptp.hAPP @t314 @t665))) % 1.12/1.35 (define @t667 () (not @t666)) % 1.12/1.35 (define @t668 () (@list @t3 @t68 @t1 @t66)) % 1.12/1.35 (define @t669 () (tptp.c_Set_Oinsert @t2 @t82 @t3)) % 1.12/1.35 (define @t670 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t418) @t417)))) % 1.12/1.35 (define @t671 () (@list @t3 @t8 @t38 @t2 @t45)) % 1.12/1.35 (define @t672 () (@list @t3 @t45 @t2 @t8 @t38)) % 1.12/1.35 (define @t673 () (tptp.hBOOL (tptp.c_in @t1 @t68 @t65))) % 1.12/1.35 (define @t674 () (tptp.c_Set_Oimage @t225 @t68 @t65 @t3)) % 1.12/1.35 (define @t675 () (tptp.c_Set_Oimage @t474 @t68 @t65 @t3)) % 1.12/1.35 (define @t676 () (@list @t225 @t1 @t25 @t65 @t3 @t68)) % 1.12/1.35 (define @t677 () (not (tptp.hBOOL (tptp.hAPP @t656 @t98)))) % 1.12/1.35 (define @t678 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t98) @t233)))) % 1.12/1.35 (define @t679 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t235 @t233 @t3)) % 1.12/1.35 (define @t680 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t235 @t233 @t3)) % 1.12/1.35 (define @t681 () (tptp.hAPP @t72 @t236)) % 1.12/1.35 (define @t682 () (tptp.hAPP @t267 @t79)) % 1.12/1.35 (define @t683 () (tptp.hAPP @t317 @t79)) % 1.12/1.35 (define @t684 () (= @t68 @t79)) % 1.12/1.35 (define @t685 () (@list @t68 @t3)) % 1.12/1.35 (define @t686 () (tptp.hBOOL (tptp.c_in @t8 @t68 @t3))) % 1.12/1.35 (define @t687 () (tptp.c_Set_Oinsert @t2 @t79 @t3)) % 1.12/1.35 (define @t688 () (tptp.hAPP @t216 @t687)) % 1.12/1.35 (define @t689 () (tptp.c_Set_Oinsert @t8 @t688 @t3)) % 1.12/1.35 (define @t690 () (@list @t3 @t2 @t8 @t68 @t1)) % 1.12/1.35 (define @t691 () (tptp.c_Finite__Set_Osetsum @t225 @t688 @t3 tptp.tc_nat)) % 1.12/1.35 (define @t692 () (@list @t225 @t3 @t68 @t2)) % 1.12/1.35 (define @t693 () (tptp.c_Fun_Oinj__on @t225 @t68 @t3 @t65)) % 1.12/1.35 (define @t694 () (not @t693)) % 1.12/1.35 (define @t695 () (tptp.c_Fun_Othe__inv__into @t68 @t225 @t3 @t65)) % 1.12/1.35 (define @t696 () (not (tptp.hBOOL (tptp.c_in @t1 @t68 @t475)))) % 1.12/1.35 (define @t697 () (= @t280 @t79)) % 1.12/1.35 (define @t698 () (tptp.c_Finite__Set_Ofold1 @t9 @t3)) % 1.12/1.35 (define @t699 () (tptp.hAPP @t698 @t68)) % 1.12/1.35 (define @t700 () (@var "V_xa" $$unsorted)) % 1.12/1.35 (define @t701 () (not (tptp.hBOOL (tptp.c_in @t700 @t68 @t3)))) % 1.12/1.35 (define @t702 () (@list @t3 @t1 @t700 @t68)) % 1.12/1.35 (define @t703 () (@list @t3 @t68 @t1 @t700)) % 1.12/1.35 (define @t704 () (tptp.c_Finite__Set_Ofinite @t269 @t3)) % 1.12/1.35 (define @t705 () (tptp.c_Finite__Set_Ofinite @t229 @t3)) % 1.12/1.35 (define @t706 () (not @t705)) % 1.12/1.35 (define @t707 () (tptp.c_Finite__Set_Ofold1 @t43 @t3)) % 1.12/1.35 (define @t708 () (tptp.c_Set_Oimage @t225 @t66 @t65 @t3)) % 1.12/1.35 (define @t709 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t598)) % 1.12/1.35 (define @t710 () (tptp.hAPP (tptp.hAPP @t709 @t68) @t66)) % 1.12/1.35 (define @t711 () (= (tptp.hAPP @t426 @t139) @t427)) % 1.12/1.35 (define @t712 () (tptp.hAPP @t543 @t68)) % 1.12/1.35 (define @t713 () (tptp.hAPP @t707 @t68)) % 1.12/1.35 (define @t714 () (= @t66 @t79)) % 1.12/1.35 (define @t715 () (tptp.hAPP @t648 @t68)) % 1.12/1.35 (define @t716 () (= (tptp.hAPP @t648 @t74) (tptp.hAPP (tptp.hAPP @t42 @t715) (tptp.hAPP @t648 @t66)))) % 1.12/1.35 (define @t717 () (tptp.c_Set_Oimage @t225 @t68 @t3 @t65)) % 1.12/1.35 (define @t718 () (@list @t68 @t225 @t3 @t65)) % 1.12/1.35 (define @t719 () (tptp.hAPP @t72 @t217)) % 1.12/1.35 (define @t720 () (tptp.hAPP @t216 @t139)) % 1.12/1.35 (define @t721 () (not (tptp.c_Fun_Oinj__on @t225 @t229 @t3 @t65))) % 1.12/1.35 (define @t722 () (tptp.c_Finite__Set_Olinorder__class_OMax @t3)) % 1.12/1.35 (define @t723 () (tptp.c_Finite__Set_Olinorder__class_OMin @t3)) % 1.12/1.35 (define @t724 () (tptp.hAPP @t42 @t45)) % 1.12/1.35 (define @t725 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t3))) % 1.12/1.35 (define @t726 () (@list @t3 @t8)) % 1.12/1.35 (define @t727 () (tptp.hAPP @t99 @t371)) % 1.12/1.35 (define @t728 () (not @t554)) % 1.12/1.35 (define @t729 () (@list @t225 @t1 @t25 @t3 @t65)) % 1.12/1.35 (define @t730 () (tptp.hBOOL (tptp.hAPP @t318 @t268))) % 1.12/1.35 (define @t731 () (tptp.hAPP @t176 @t177)) % 1.12/1.35 (define @t732 () (@list @t3 @t2)) % 1.12/1.35 (define @t733 () (tptp.hAPP @t176 @t178)) % 1.12/1.35 (define @t734 () (tptp.hBOOL (tptp.hAPP @t148 @t360))) % 1.12/1.35 (define @t735 () (tptp.c_Set_Ovimage @t225 @t66 @t3 @t65)) % 1.12/1.35 (define @t736 () (@list @t225 @t65 @t68 @t66 @t3)) % 1.12/1.35 (define @t737 () (tptp.hBOOL (tptp.hAPP @t545 @t169))) % 1.12/1.35 (define @t738 () (tptp.hBOOL (tptp.hAPP @t5 @t178))) % 1.12/1.35 (define @t739 () (tptp.hBOOL (tptp.hAPP @t118 @t177))) % 1.12/1.35 (define @t740 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t177) @t8))) % 1.12/1.35 (define @t741 () (tptp.hBOOL (tptp.hAPP @t393 @t2))) % 1.12/1.35 (define @t742 () (tptp.hBOOL (tptp.hAPP @t173 @t178))) % 1.12/1.35 (define @t743 () (tptp.hBOOL (tptp.hAPP @t275 @t177))) % 1.12/1.35 (define @t744 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t177) @t8))) % 1.12/1.35 (define @t745 () (tptp.hBOOL (tptp.hAPP @t179 @t2))) % 1.12/1.35 (define @t746 () (tptp.hBOOL (tptp.c_in @t45 @t68 @t3))) % 1.12/1.35 (define @t747 () (not @t746)) % 1.12/1.35 (define @t748 () (tptp.hBOOL (tptp.c_in @t45 @t66 @t3))) % 1.12/1.35 (define @t749 () (not @t748)) % 1.12/1.35 (define @t750 () (tptp.hBOOL (tptp.c_in @t45 @t82 @t3))) % 1.12/1.35 (define @t751 () (@list @t45 @t3 @t68 @t66)) % 1.12/1.35 (define @t752 () (tptp.hBOOL (tptp.c_in @t45 @t269 @t3))) % 1.12/1.35 (define @t753 () (@list @t45 @t66 @t3 @t68)) % 1.12/1.35 (define @t754 () (not @t750)) % 1.12/1.35 (define @t755 () (@list @t45 @t68 @t3 @t66)) % 1.12/1.35 (define @t756 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t21 @t3 @t3) @t8)) % 1.12/1.35 (define @t757 () (tptp.hAPP @t756 @t68)) % 1.12/1.35 (define @t758 () (tptp.c_Set_Oinsert @t8 @t68 @t3)) % 1.12/1.35 (define @t759 () (@list @t3 @t86 @t8 @t68 @t25)) % 1.12/1.35 (define @t760 () (@var "V_G" $$unsorted)) % 1.12/1.35 (define @t761 () (tptp.c_Finite__Set_Ofinite @t760 @t3)) % 1.12/1.35 (define @t762 () (not @t761)) % 1.12/1.35 (define @t763 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t80 @t634) @t760) @t3)) % 1.12/1.35 (define @t764 () (@list @t3 @t634 @t760)) % 1.12/1.35 (define @t765 () (tptp.c_Orderings_Obot__class_Obot @t598)) % 1.12/1.35 (define @t766 () (@list @t225 @t86 @t3 @t65)) % 1.12/1.35 (define @t767 () (tptp.c_Finite__Set_Osetsum @t67 @t68 @t65 @t3)) % 1.12/1.35 (define @t768 () (@list @t3 @t225 @t65 @t67 @t68)) % 1.12/1.35 (define @t769 () (@list @t3 @t8 @t2 @t68)) % 1.12/1.35 (define @t770 () (tptp.c_Finite__Set_Osetsum @t225 @t688 @t3 @t65)) % 1.12/1.35 (define @t771 () (tptp.hAPP (tptp.c_Finite__Set_Ofold @t145 @t3 @t3) @t8)) % 1.12/1.35 (define @t772 () (tptp.hAPP @t771 @t68)) % 1.12/1.35 (define @t773 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t235 @t233 @t3)) % 1.12/1.35 (define @t774 () (tptp.hBOOL (tptp.c_in @t25 @t717 @t65))) % 1.12/1.35 (define @t775 () (tptp.c_Finite__Set_Ocard @t658 @t3)) % 1.12/1.35 (define @t776 () (tptp.hAPP @t290 @t375)) % 1.12/1.35 (define @t777 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t21 @t3) @t68)) % 1.12/1.35 (define @t778 () (tptp.c_Finite__Set_Ocard @t717 @t65)) % 1.12/1.35 (define @t779 () (@list @t225 @t68 @t3 @t65)) % 1.12/1.35 (define @t780 () (not (tptp.c_Fun_Oinj__on @t225 @t139 @t3 @t65))) % 1.12/1.35 (define @t781 () (tptp.c_Set_Oimage @t225 @t66 @t3 @t65)) % 1.12/1.35 (define @t782 () (= (tptp.c_Set_Oimage @t225 @t82 @t3 @t65) (tptp.hAPP (tptp.hAPP @t709 @t717) @t781))) % 1.12/1.35 (define @t783 () (@list @t225 @t3 @t68 @t66 @t65 @t139)) % 1.12/1.35 (define @t784 () (@list @t225 @t3 @t68 @t66 @t65)) % 1.12/1.35 (define @t785 () (tptp.c_Set_Oinsert @t8 @t79 @t3)) % 1.12/1.35 (define @t786 () (tptp.c_Set_Oinsert @t2 @t785 @t3)) % 1.12/1.35 (define @t787 () (tptp.c_Orderings_Otop__class_Otop @t598)) % 1.12/1.35 (define @t788 () (tptp.c_Set_Oimage @t225 @t787 @t65 @t3)) % 1.12/1.35 (define @t789 () (tptp.c_Set_Ovimage @t225 @t68 @t65 @t3)) % 1.12/1.35 (define @t790 () (tptp.c_Set_Oimage @t225 @t789 @t65 @t3)) % 1.12/1.35 (define @t791 () (@list @t225 @t68 @t65 @t3)) % 1.12/1.35 (define @t792 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMin__eqI__1__1 @t68 @t1 @t3)) % 1.12/1.35 (define @t793 () (tptp.hAPP @t723 @t68)) % 1.12/1.35 (define @t794 () (= @t793 @t1)) % 1.12/1.35 (define @t795 () (@list @t3 @t68 @t1)) % 1.12/1.35 (define @t796 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xlinorder__class__XMax__eqI__1__1 @t68 @t1 @t3)) % 1.12/1.35 (define @t797 () (tptp.hAPP @t722 @t68)) % 1.12/1.35 (define @t798 () (= @t797 @t1)) % 1.12/1.35 (define @t799 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t284 @t3))) % 1.12/1.35 (define @t800 () (tptp.hAPP tptp.v_P tptp.v_R)) % 1.12/1.35 (define @t801 () (tptp.hAPP @t4 @t360)) % 1.12/1.35 (define @t802 () (tptp.c_Fun_Oinj__on @t225 @t74 @t3 @t65)) % 1.12/1.35 (define @t803 () (not @t802)) % 1.12/1.35 (define @t804 () (@list @t225 @t68 @t3 @t65 @t66)) % 1.12/1.35 (define @t805 () (tptp.c_Fun_Oinj__on @t225 @t66 @t3 @t65)) % 1.12/1.35 (define @t806 () (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t598) @t68) @t66)) % 1.12/1.35 (define @t807 () (= (tptp.hAPP @t261 @t307) @t307)) % 1.12/1.35 (define @t808 () (= @t307 @t506)) % 1.12/1.35 (define @t809 () (tptp.hAPP @t73 @t712)) % 1.12/1.35 (define @t810 () (tptp.c_Set_Ovimage @t225 @t66 @t65 @t3)) % 1.12/1.35 (define @t811 () (tptp.c_lessequals @t598)) % 1.12/1.35 (define @t812 () (@list @t65 @t225 @t68 @t3 @t66)) % 1.12/1.35 (define @t813 () (tptp.c_HOL_Ominus__class_Ominus @t598)) % 1.12/1.35 (define @t814 () (tptp.c_Set_Oimage @t225 @t217 @t3 @t65)) % 1.12/1.35 (define @t815 () (= @t814 (tptp.hAPP (tptp.hAPP @t813 @t717) @t781))) % 1.12/1.35 (define @t816 () (tptp.hAPP @t317 @t217)) % 1.12/1.35 (define @t817 () (tptp.hBOOL (tptp.hAPP @t14 @t307))) % 1.12/1.35 (define @t818 () (tptp.hBOOL (tptp.hAPP @t92 @t307))) % 1.12/1.35 (define @t819 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t307) @t86))) % 1.12/1.35 (define @t820 () (tptp.hBOOL (tptp.hAPP @t801 @t1))) % 1.12/1.35 (define @t821 () (tptp.hAPP @t317 @t74)) % 1.12/1.35 (define @t822 () (tptp.hBOOL (tptp.hAPP @t821 @t139))) % 1.12/1.35 (define @t823 () (not (tptp.hBOOL (tptp.c_in @t25 @t68 @t3)))) % 1.12/1.35 (define @t824 () (tptp.c_Set_Oinsert @t1 @t79 @t3)) % 1.12/1.35 (define @t825 () (tptp.hAPP @t216 @t824)) % 1.12/1.35 (define @t826 () (tptp.c_Finite__Set_Ocard @t825 @t3)) % 1.12/1.35 (define @t827 () (tptp.c_Suc @t826)) % 1.12/1.35 (define @t828 () (tptp.hAPP @t331 @t330)) % 1.12/1.35 (define @t829 () (= @t770 (tptp.hAPP @t828 @t637))) % 1.12/1.35 (define @t830 () (@list @t65 @t225 @t3 @t68 @t2)) % 1.12/1.35 (define @t831 () (tptp.hAPP @t645 @t68)) % 1.12/1.35 (define @t832 () (= (tptp.hAPP @t645 @t74) (tptp.hAPP (tptp.hAPP @t284 @t831) (tptp.hAPP @t645 @t66)))) % 1.12/1.35 (define @t833 () (= (tptp.hAPP (tptp.hAPP @t709 @t814) (tptp.c_Set_Oimage @t225 @t712 @t3 @t65)) @t765)) % 1.12/1.35 (define @t834 () (not @t805)) % 1.12/1.35 (define @t835 () (tptp.hAPP @t811 @t717)) % 1.12/1.35 (define @t836 () (not (tptp.hBOOL (tptp.hAPP @t835 @t66)))) % 1.12/1.35 (define @t837 () (tptp.c_Finite__Set_Ofinite @t66 @t65)) % 1.12/1.35 (define @t838 () (not @t837)) % 1.12/1.35 (define @t839 () (tptp.c_Finite__Set_Ocard @t66 @t65)) % 1.12/1.35 (define @t840 () (@list @t1 @t68 @t3)) % 1.12/1.35 (define @t841 () (= (tptp.hAPP @t648 @t658) (tptp.hAPP @t154 @t715))) % 1.12/1.35 (define @t842 () (@list @t3 @t1 @t68)) % 1.12/1.35 (define @t843 () (not @t673)) % 1.12/1.35 (define @t844 () (tptp.hAPP @t813 @t68)) % 1.12/1.35 (define @t845 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t825) @t66))) % 1.12/1.35 (define @t846 () (not @t845)) % 1.12/1.35 (define @t847 () (not (tptp.hBOOL (tptp.hAPP @t656 @t233)))) % 1.12/1.35 (define @t848 () (@list @t3 @t235 @t233)) % 1.12/1.35 (define @t849 () (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t127 @t3) @t68)) % 1.12/1.35 (define @t850 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 1.12/1.35 (define @t851 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t850 tptp.tc_bool))) % 1.12/1.35 (define @t852 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 1.12/1.35 (define @t853 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t854 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t855 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a)) % 1.12/1.35 (define @t856 () (tptp.hAPP (tptp.hAPP @t855 @t297) @t45)) % 1.12/1.35 (define @t857 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP @t856 @t574) @t851 @t850) tptp.t_a)) % 1.12/1.35 (define @t858 () (@list @t760 @t297 @t45 @t574)) % 1.12/1.35 (define @t859 () (tptp.c_Finite__Set_Ofinite @t68 @t65)) % 1.12/1.35 (define @t860 () (tptp.hAPP (tptp.c_Finite__Set_Ofold__image @t284 @t67 @t3 @t65) @t86)) % 1.12/1.35 (define @t861 () (= (tptp.hAPP @t645 @t658) (tptp.hAPP @t286 @t831))) % 1.12/1.35 (define @t862 () (@list @t284 @t3 @t1 @t68)) % 1.12/1.35 (define @t863 () (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2 @t472 @t225 @t1 @t3 @t475)) % 1.12/1.35 (define @t864 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t475 tptp.tc_bool))) % 1.12/1.35 (define @t865 () (tptp.c_Set_Oimage @t225 @t864 @t475 @t3)) % 1.12/1.35 (define @t866 () (tptp.hBOOL (tptp.c_in @t472 @t865 @t3))) % 1.12/1.35 (define @t867 () (not (tptp.c_Fun_Oinj__on @t225 @t864 @t475 @t3))) % 1.12/1.35 (define @t868 () (tptp.c_Set_Oimage @t225 @t229 @t3 @t65)) % 1.12/1.35 (define @t869 () (tptp.hBOOL (tptp.hAPP @t297 @t1))) % 1.12/1.35 (define @t870 () (tptp.hAPP @t225 @t25)) % 1.12/1.35 (define @t871 () (@list @t225 @t86 @t68 @t1 @t25 @t3 @t65)) % 1.12/1.35 (define @t872 () (tptp.hBOOL (tptp.c_in @t1 @t79 @t3))) % 1.12/1.35 (define @t873 () (@list @t1 @t3)) % 1.12/1.35 (define @t874 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t811 @t66) @t717)))) % 1.12/1.35 (define @t875 () (tptp.hBOOL (tptp.hAPP @t318 @t424))) % 1.12/1.35 (define @t876 () (tptp.hBOOL (tptp.hAPP @t816 @t139))) % 1.12/1.35 (define @t877 () (@var "V_t" $$unsorted)) % 1.12/1.35 (define @t878 () (tptp.hBOOL (tptp.c_in @t45 @t74 @t3))) % 1.12/1.35 (define @t879 () (tptp.hBOOL (tptp.c_in @t45 @t217 @t3))) % 1.12/1.35 (define @t880 () (not @t879)) % 1.12/1.35 (define @t881 () (not (= @t472 @t870))) % 1.12/1.35 (define @t882 () (@list @t225 @t1 @t25 @t68 @t3 @t65)) % 1.12/1.35 (define @t883 () (tptp.hBOOL (tptp.c_in @t637 @t66 @t65))) % 1.12/1.35 (define @t884 () (tptp.hBOOL (tptp.c_in @t2 @t735 @t3))) % 1.12/1.35 (define @t885 () (@list @t225 @t2 @t66 @t65 @t3)) % 1.12/1.35 (define @t886 () (tptp.hBOOL (tptp.c_in @t45 @t68 @t65))) % 1.12/1.35 (define @t887 () (tptp.c_COMBK @t45 @t65 @t3)) % 1.12/1.35 (define @t888 () (tptp.c_Set_Ovimage @t887 @t68 @t3 @t65)) % 1.12/1.35 (define @t889 () (@list @t45 @t65 @t3 @t68)) % 1.12/1.35 (define @t890 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t3))) % 1.12/1.35 (define @t891 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t72 @t634) @t760) @t3)) % 1.12/1.35 (define @t892 () (not @t891)) % 1.12/1.35 (define @t893 () (tptp.c_Finite__Set_Ofinite @t217 @t3)) % 1.12/1.35 (define @t894 () (not @t893)) % 1.12/1.35 (define @t895 () (not (= (tptp.hAPP (tptp.hAPP @t145 @t68) @t66) @t396))) % 1.12/1.35 (define @t896 () (tptp.hBOOL (tptp.c_in @t637 @t717 @t65))) % 1.12/1.35 (define @t897 () (@list @t225 @t2 @t68 @t3 @t65)) % 1.12/1.35 (define @t898 () (@list @t225 @t65 @t3)) % 1.12/1.35 (define @t899 () (tptp.hAPP @t72 @t79)) % 1.12/1.35 (define @t900 () (not (= @t74 @t79))) % 1.12/1.35 (define @t901 () (tptp.c_Set_Oinsert @t2 @t66 @t65)) % 1.12/1.35 (define @t902 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t825) @t66))) % 1.12/1.35 (define @t903 () (not @t902)) % 1.12/1.35 (define @t904 () (tptp.hBOOL (tptp.hAPP @t318 @t665))) % 1.12/1.35 (define @t905 () (= @t778 @t375)) % 1.12/1.35 (define @t906 () (tptp.c_Set_Oimage @t225 @t68 @t3 @t3)) % 1.12/1.35 (define @t907 () (tptp.c_Fun_Oinj__on @t225 @t68 @t3 @t3)) % 1.12/1.35 (define @t908 () (@list @t225 @t68 @t3)) % 1.12/1.35 (define @t909 () (tptp.c_Set_Oinsert @t8 @t66 @t3)) % 1.12/1.35 (define @t910 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t658) @t66))) % 1.12/1.35 (define @t911 () (not @t910)) % 1.12/1.35 (define @t912 () (tptp.c_Fun_Oinj__on @t225 @t632 @t3 @t65)) % 1.12/1.35 (define @t913 () (not @t912)) % 1.12/1.35 (define @t914 () (tptp.hBOOL (tptp.hAPP @t835 @t781))) % 1.12/1.35 (define @t915 () (not @t904)) % 1.12/1.35 (define @t916 () (@list @t3 @t1 @t68 @t66)) % 1.12/1.35 (define @t917 () (tptp.hAPP @t215 @t658)) % 1.12/1.35 (define @t918 () (tptp.hAPP @t917 @t66)) % 1.12/1.35 (define @t919 () (tptp.hBOOL (tptp.c_in @t637 (tptp.c_Set_Oimage @t225 @t688 @t3 @t65) @t65))) % 1.12/1.35 (define @t920 () (tptp.hAPP @t216 @t660)) % 1.12/1.35 (define @t921 () (tptp.c_Finite__Set_Ofinite @t920 @t3)) % 1.12/1.35 (define @t922 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t824 @t3)) % 1.12/1.35 (define @t923 () (tptp.hAPP @t215 @t217)) % 1.12/1.35 (define @t924 () (tptp.hAPP @t261 @t430)) % 1.12/1.35 (define @t925 () (= (tptp.hAPP (tptp.hAPP @t145 @t307) @t86) @t924)) % 1.12/1.35 (define @t926 () (= @t924 (tptp.hAPP @t429 @t507))) % 1.12/1.35 (define @t927 () (tptp.hAPP @t73 @t424)) % 1.12/1.35 (define @t928 () (tptp.hAPP @t844 @t66)) % 1.12/1.35 (define @t929 () (@var "V_N" $$unsorted)) % 1.12/1.35 (define @t930 () (@var "V_M" $$unsorted)) % 1.12/1.35 (define @t931 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t930) @t929)))) % 1.12/1.35 (define @t932 () (= @t930 @t79)) % 1.12/1.35 (define @t933 () (not (tptp.c_Finite__Set_Ofinite @t929 @t3))) % 1.12/1.35 (define @t934 () (tptp.hAPP @t399 @t1)) % 1.12/1.35 (define @t935 () (@var "V_h" $$unsorted)) % 1.12/1.35 (define @t936 () (@list @t3 @t225 @t68 @t65)) % 1.12/1.35 (define @t937 () (@var "V_com2_H" $$unsorted)) % 1.12/1.35 (define @t938 () (@var "V_com2" $$unsorted)) % 1.12/1.35 (define @t939 () (@var "V_com1_H" $$unsorted)) % 1.12/1.35 (define @t940 () (tptp.c_Com_Ocom_OSemi @t939 @t937)) % 1.12/1.35 (define @t941 () (@var "V_com1" $$unsorted)) % 1.12/1.35 (define @t942 () (not (= (tptp.c_Com_Ocom_OSemi @t941 @t938) @t940))) % 1.12/1.35 (define @t943 () (@list @t941 @t938 @t939 @t937)) % 1.12/1.35 (define @t944 () (not (= @t717 @t781))) % 1.12/1.35 (define @t945 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t280) @t279))) % 1.12/1.35 (define @t946 () (not @t945)) % 1.12/1.35 (define @t947 () (tptp.hAPP @t284 @t8)) % 1.12/1.35 (define @t948 () (tptp.hAPP @t284 @t2)) % 1.12/1.35 (define @t949 () (tptp.hAPP @t948 (tptp.hAPP @t947 @t45))) % 1.12/1.35 (define @t950 () (tptp.hAPP @t948 @t8)) % 1.12/1.35 (define @t951 () (@list @t284 @t2 @t8 @t45 @t3)) % 1.12/1.35 (define @t952 () (tptp.hBOOL (tptp.hAPP @t74 @t1))) % 1.12/1.35 (define @t953 () (tptp.hAPP @t215 @t139)) % 1.12/1.35 (define @t954 () (@list @t65)) % 1.12/1.35 (define @t955 () (= @t307 @t25)) % 1.12/1.35 (define @t956 () (= @t74 @t66)) % 1.12/1.35 (define @t957 () (= @t79 @t280)) % 1.12/1.35 (define @t958 () (@list @t939 @t937)) % 1.12/1.35 (define @t959 () (not @t819)) % 1.12/1.35 (define @t960 () (tptp.hBOOL (tptp.hAPP @t14 @t360))) % 1.12/1.35 (define @t961 () (not @t820)) % 1.12/1.35 (define @t962 () (not @t822)) % 1.12/1.35 (define @t963 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t297) @t574)))) % 1.12/1.35 (define @t964 () (not @t869)) % 1.12/1.35 (define @t965 () (tptp.hBOOL (tptp.hAPP @t574 @t1))) % 1.12/1.35 (define @t966 () (tptp.hBOOL (tptp.hAPP @t597 @t1))) % 1.12/1.35 (define @t967 () (tptp.hBOOL (tptp.hAPP @t68 @t472))) % 1.12/1.35 (define @t968 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t562) @t563))) % 1.12/1.35 (define @t969 () (tptp.c_Set_Oinsert @t2 @t688 @t3)) % 1.12/1.35 (define @t970 () (@list @t2 @t3 @t68)) % 1.12/1.35 (define @t971 () (@list @t2 @t68 @t3)) % 1.12/1.35 (define @t972 () (tptp.c_COMBK @t45 @t3 @t65)) % 1.12/1.35 (define @t973 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t855 @t1) @t45) @t700) @t851 @t850) tptp.t_a))) % 1.12/1.35 (define @t974 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t975 () (@var "V_Z_H" $$unsorted)) % 1.12/1.35 (define @t976 () (tptp.hAPP @t1 @t975)) % 1.12/1.35 (define @t977 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t760 @t297 @t574 @t45 @t1 @t700)) % 1.12/1.35 (define @t978 () (tptp.hAPP @t700 @t975)) % 1.12/1.35 (define @t979 () (@list @t760 @t297 @t45 @t574 @t700 @t975 @t1)) % 1.12/1.35 (define @t980 () (@var "V_Q_H" $$unsorted)) % 1.12/1.35 (define @t981 () (@var "V_P_H" $$unsorted)) % 1.12/1.35 (define @t982 () (tptp.hAPP (tptp.hAPP @t855 @t981) @t45)) % 1.12/1.35 (define @t983 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP @t982 @t980) @t851 @t850) tptp.t_a))) % 1.12/1.35 (define @t984 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t297 @t981 @t574 @t980)) % 1.12/1.35 (define @t985 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t297 @t981 @t574 @t980)) % 1.12/1.35 (define @t986 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t987 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t760 @t297 @t574 @t45 @t1 @t700)) % 1.12/1.35 (define @t988 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t989 () (@list @t760 @t297 @t45 @t574 @t1 @t700)) % 1.12/1.35 (define @t990 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t760 @t297 @t574 @t45)) % 1.12/1.35 (define @t991 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP @t856 @t980) @t851 @t850) tptp.t_a))) % 1.12/1.35 (define @t992 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t574 @t980)) % 1.12/1.35 (define @t993 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t574 @t980)) % 1.12/1.35 (define @t994 () (@list @t760 @t297 @t45 @t574 @t980)) % 1.12/1.35 (define @t995 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t297 @t981 @t574 @t980)) % 1.12/1.35 (define @t996 () (@list @t760 @t297 @t45 @t574 @t981 @t980)) % 1.12/1.35 (define @t997 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP @t982 @t574) @t851 @t850) tptp.t_a))) % 1.12/1.35 (define @t998 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t297 @t981)) % 1.12/1.35 (define @t999 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t297 @t981)) % 1.12/1.35 (define @t1000 () (@list @t760 @t297 @t45 @t574 @t981)) % 1.12/1.35 (define @t1001 () (= @t68 @t765)) % 1.12/1.35 (define @t1002 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 1.12/1.35 (define @t1003 () (tptp.tc_Hoare__Mirabelle_Otriple @t3)) % 1.12/1.35 (define @t1004 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t1003 tptp.tc_bool))) % 1.12/1.35 (define @t1005 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t3)) % 1.12/1.35 (define @t1006 () (tptp.hAPP @t1005 @t297)) % 1.12/1.35 (define @t1007 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert @t877 @t1004 @t1003) @t3)) % 1.12/1.35 (define @t1008 () (@var "V_ts" $$unsorted)) % 1.12/1.35 (define @t1009 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 @t1008 @t3)) % 1.12/1.35 (define @t1010 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert @t877 @t1008 @t1003) @t3)) % 1.12/1.35 (define @t1011 () (not @t1010)) % 1.12/1.35 (define @t1012 () (tptp.hBOOL (tptp.c_in @t2 @t758 @t3))) % 1.12/1.35 (define @t1013 () (@var "V_G_H" $$unsorted)) % 1.12/1.35 (define @t1014 () (not @t872)) % 1.12/1.35 (define @t1015 () (@list @t297 @t1 @t3)) % 1.12/1.35 (define @t1016 () (@var "V_fun2_H" $$unsorted)) % 1.12/1.35 (define @t1017 () (@var "V_fun2" $$unsorted)) % 1.12/1.35 (define @t1018 () (@var "V_com_H" $$unsorted)) % 1.12/1.35 (define @t1019 () (@var "V_fun1_H" $$unsorted)) % 1.12/1.35 (define @t1020 () (@var "V_com" $$unsorted)) % 1.12/1.35 (define @t1021 () (@var "V_fun1" $$unsorted)) % 1.12/1.35 (define @t1022 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1005 @t1021) @t1020) @t1017) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1005 @t1019) @t1018) @t1016)))) % 1.12/1.35 (define @t1023 () (@list @t3 @t1021 @t1020 @t1017 @t1019 @t1018 @t1016)) % 1.12/1.35 (define @t1024 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 1.12/1.35 (define @t1025 () (= @t8 @t38)) % 1.12/1.35 (define @t1026 () (not (= @t786 (tptp.c_Set_Oinsert @t45 (tptp.c_Set_Oinsert @t38 @t79 @t3) @t3)))) % 1.12/1.35 (define @t1027 () (@list @t2 @t8 @t3 @t45 @t38)) % 1.12/1.35 (define @t1028 () (= @t2 @t38)) % 1.12/1.35 (define @t1029 () (tptp.c_Finite__Set_Ofinite @t632 @t3)) % 1.12/1.35 (define @t1030 () (tptp.c_Set_Oinsert @t25 @t68 @t3)) % 1.12/1.35 (define @t1031 () (tptp.hBOOL (tptp.hAPP @t1030 @t1))) % 1.12/1.35 (define @t1032 () (@var "V_S" $$unsorted)) % 1.12/1.35 (define @t1033 () (tptp.hBOOL (tptp.hAPP @t1032 @t1))) % 1.12/1.35 (define @t1034 () (tptp.hBOOL (tptp.c_in @t1 @t1032 @t3))) % 1.12/1.35 (define @t1035 () (tptp.hAPP @t574 @t575)) % 1.12/1.35 (define @t1036 () (tptp.c_Set_Oimage @t225 @t765 @t65 @t3)) % 1.12/1.35 (define @t1037 () (@list @t225 @t1 @t68 @t3 @t65)) % 1.12/1.35 (define @t1038 () (tptp.hBOOL (tptp.c_in @t472 @t674 @t3))) % 1.12/1.35 (define @t1039 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) % 1.12/1.35 (define @t1040 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t1039 tptp.tc_bool))) % 1.12/1.35 (define @t1041 () (tptp.hAPP tptp.v_c0 tptp.v_x)) % 1.12/1.35 (define @t1042 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b)) % 1.12/1.35 (define @t1043 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1042 (tptp.hAPP tptp.v_P_H tptp.v_x)) @t1041) (tptp.hAPP tptp.v_Q_H tptp.v_x)) @t1040 @t1039) tptp.t_b)) % 1.12/1.35 (define @t1044 () (tptp.tc_fun tptp.t_b @t852)) % 1.12/1.35 (define @t1045 () (tptp.tc_fun @t1044 @t1039)) % 1.12/1.35 (define @t1046 () (tptp.tc_fun tptp.tc_Com_Ocom @t1045)) % 1.12/1.35 (define @t1047 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t1042 tptp.v_P_H @t1044 @t1046 tptp.t_a) tptp.v_c0 tptp.t_a tptp.tc_Com_Ocom @t1045) tptp.v_Q_H tptp.t_a @t1044 @t1039) tptp.v_F tptp.t_a @t1039) tptp.t_b)) % 1.12/1.35 (define @t1048 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1042 (tptp.hAPP tptp.v_P tptp.v_x)) @t1041) (tptp.hAPP tptp.v_Q tptp.v_x)) @t1040 @t1039) tptp.t_b)) % 1.12/1.35 (define @t1049 () (@var "V_p" $$unsorted)) % 1.12/1.35 (define @t1050 () (tptp.hAPP tptp.v_c0 @t1049)) % 1.12/1.35 (define @t1051 () (forall (@list @t1049) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1042 (tptp.hAPP tptp.v_P @t1049)) @t1050) (tptp.hAPP tptp.v_Q @t1049)) @t1040 @t1039) tptp.t_b) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1042 (tptp.hAPP tptp.v_P_H @t1049)) @t1050) (tptp.hAPP tptp.v_Q_H @t1049)) @t1040 @t1039) tptp.t_b))))) % 1.12/1.35 (define @t1052 () (@var "T_1" $$unsorted)) % 1.12/1.35 (define @t1053 () (@var "T_2" $$unsorted)) % 1.12/1.35 (define @t1054 () (tptp.tc_fun @t1053 @t1052)) % 1.12/1.35 (define @t1055 () (@list @t1053 @t1052)) % 1.12/1.35 (define @t1056 () (not (tptp.class_Lattices_Olattice @t1052))) % 1.12/1.35 (define @t1057 () (tptp.c_fequal @t3)) % 1.12/1.35 (define @t1058 () (@var "V_Y" $$unsorted)) % 1.12/1.35 (define @t1059 () (@var "V_X" $$unsorted)) % 1.12/1.35 (define @t1060 () (not @t1043)) % 1.12/1.35 (define @t1061 () (or @t1048 @t1060)) % 1.12/1.35 (define @t1062 () (not @t1061)) % 1.12/1.35 (define @t1063 () (@list true false)) % 1.12/1.35 (assume @p1 (forall @t13 (or @t12 @t11 @t7))) % 1.12/1.35 (assume @p2 (forall @t18 (or @t12 @t17 @t16))) % 1.12/1.35 (assume @p3 (forall @t20 (or @t12 @t19 @t16))) % 1.12/1.35 (assume @p4 (forall @t28 (or (= @t27 @t25) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t25) @t1))) @t24))) % 1.12/1.35 (assume @p5 (forall @t28 (or (not @t31) @t24 @t30))) % 1.12/1.35 (assume @p6 (forall @t28 (or @t31 @t32 @t24))) % 1.12/1.35 (assume @p7 (forall @t35 (or (not (= @t34 (tptp.c_Suc @t25))) @t33))) % 1.12/1.35 (assume @p8 (forall (@list @t37 @t36) (or (not (= (tptp.c_Suc @t37) (tptp.c_Suc @t36))) (= @t37 @t36)))) % 1.12/1.35 (assume @p9 (forall @t57 (or @t56 @t55 (not @t48)))) % 1.12/1.35 (assume @p10 (forall @t59 (or @t56 @t48 @t58))) % 1.12/1.35 (assume @p11 (forall @t57 (or @t56 @t55 (not @t63)))) % 1.12/1.35 (assume @p12 (forall @t64 (or @t56 @t63 @t58))) % 1.12/1.35 (assume @p13 (forall (@list @t65 @t3 @t68 @t66 @t67) (or @t85 @t84 @t78 @t77 (= @t75 @t70)))) % 1.12/1.35 (assume @p14 (forall @t94 (or @t12 @t93 @t91 (not @t90)))) % 1.12/1.35 (assume @p15 (forall @t96 (or @t12 (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t95 @t3)))) % 1.12/1.35 (assume @p16 (forall (@list @t98 @t2 @t8 @t3 @t65 @t45 @t38) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t98 @t2 @t8 @t3 @t65) @t45 @t38 @t3 @t65) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t98 @t45 @t38 @t3 @t65) @t2 @t8 @t3 @t65)) @t97))) % 1.12/1.35 (assume @p17 (forall @t94 (or @t12 @t93 @t102))) % 1.12/1.35 (assume @p18 (forall @t103 (or @t12 @t91 @t102))) % 1.12/1.35 (assume @p19 (forall @t108 (or @t12 @t107 @t106))) % 1.12/1.35 (assume @p20 (forall @t108 (or @t12 @t107 @t110))) % 1.12/1.35 (assume @p21 (forall @t20 (or @t12 @t114 @t111))) % 1.12/1.35 (assume @p22 (forall @t20 (or @t12 @t114 @t115))) % 1.12/1.35 (assume @p23 (forall @t120 (or @t12 @t119 @t117))) % 1.12/1.35 (assume @p24 (forall @t121 (or @t12 @t6 @t117))) % 1.12/1.35 (assume @p25 (forall @t126 (or @t12 @t125 @t124 (not @t123)))) % 1.12/1.35 (assume @p26 (forall @t135 (or @t134 @t133))) % 1.12/1.35 (assume @p27 (forall @t135 (or @t134 @t137))) % 1.12/1.35 (assume @p28 (forall @t135 (or @t138 @t137))) % 1.12/1.35 (assume @p29 (forall @t135 (or @t138 @t133))) % 1.12/1.35 (assume @p30 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t80 @t82) @t139) @t142))) % 1.12/1.35 (assume @p31 (forall @t143 (= @t142 (tptp.hAPP @t140 @t144)))) % 1.12/1.35 (assume @p32 (forall @t96 (or @t12 @t146 (= @t145 @t95)))) % 1.12/1.35 (assume @p33 (forall @t94 (or @t12 @t151 @t149 (not @t147)))) % 1.12/1.35 (assume @p34 (forall (@list @t3 @t152 @t25 @t1 @t86) (or @t159 @t158 (not (= (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t156 @t25)) @t157) (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t156 @t86)) @t155))) @t153 (= @t152 @t1)))) % 1.12/1.35 (assume @p35 (forall @t164 (or @t159 @t158 (not (= (tptp.hAPP @t163 (tptp.hAPP @t49 @t38)) (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t52 @t38)) @t161))) (= @t45 @t38) @t160))) % 1.12/1.35 (assume @p36 (forall @t172 (= (tptp.hAPP @t171 @t169) @t168))) % 1.12/1.35 (assume @p37 (forall @t182 (or @t181 @t180 @t175))) % 1.12/1.35 (assume @p38 (forall @t183 (or @t181 @t174 (not @t180)))) % 1.12/1.35 (assume @p39 (forall @t172 (or @t189 @t188 @t187))) % 1.12/1.35 (assume @p40 (forall @t172 (or @t189 @t193 @t191))) % 1.12/1.35 (assume @p41 (forall @t195 (or @t194 @t193 @t191))) % 1.12/1.35 (assume @p42 (forall @t199 (or @t198 @t197 (= @t66 @t196)))) % 1.12/1.35 (assume @p43 (forall @t199 (or @t198 @t197 (= @t68 @t196)))) % 1.12/1.35 (assume @p44 (forall @t212 (or @t211 (= @t210 (tptp.hAPP @t206 (tptp.hAPP @t202 @t200)))))) % 1.12/1.35 (assume @p45 (forall @t212 (or @t211 (= @t210 (tptp.hAPP @t205 (tptp.hAPP @t202 @t208)))))) % 1.12/1.35 (assume @p46 (forall @t212 (or @t211 (= @t210 (tptp.hAPP @t207 (tptp.hAPP @t209 @t200)))))) % 1.12/1.35 (assume @p47 (forall @t218 (= (tptp.hAPP @t213 @t217) (tptp.hAPP (tptp.hAPP @t215 @t214) (tptp.hAPP @t213 @t66))))) % 1.12/1.35 (assume @p48 (forall @t143 (= (tptp.hAPP @t221 @t139) @t220))) % 1.12/1.35 (assume @p49 (forall (@list @t223 @t165 @t222) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 (tptp.hAPP (tptp.hAPP @t166 @t223) @t165)) @t222)) @t224))) % 1.12/1.35 (assume @p50 (forall @t227 (= (tptp.c_Fun_Ofun__upd @t226 @t1 @t86 @t3 @t65) (tptp.c_Fun_Ofun__upd @t225 @t1 @t86 @t3 @t65)))) % 1.12/1.35 (assume @p51 (forall @t228 (or @t198 (= (tptp.hAPP @t130 @t196) @t1)))) % 1.12/1.35 (assume @p52 (forall @t228 (or @t198 (= (tptp.hAPP (tptp.hAPP @t127 @t196) @t1) @t1)))) % 1.12/1.35 (assume @p53 (forall @t230 (= (tptp.hAPP (tptp.hAPP @t80 @t229) @t66) @t66))) % 1.12/1.35 (assume @p54 (forall @t231 (= (tptp.hAPP @t81 @t229) @t68))) % 1.12/1.35 (assume @p55 (forall @t232 (= @t220 (tptp.hAPP @t219 @t66)))) % 1.12/1.35 (assume @p56 (forall @t239 (or @t238 (= (tptp.hAPP @t237 @t234) @t79)))) % 1.12/1.35 (assume @p57 (forall @t245 (or @t244 @t243 @t242 @t241))) % 1.12/1.35 (assume @p58 (forall @t228 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t246 @t1) @t1))))) % 1.12/1.35 (assume @p59 (forall @t249 (not @t248))) % 1.12/1.35 (assume @p60 (forall @t250 (not (tptp.hBOOL (tptp.hAPP @t190 @t165))))) % 1.12/1.35 (assume @p61 (forall @t258 (or @t257 @t256 @t255 @t254))) % 1.12/1.35 (assume @p62 (forall @t228 (or @t238 @t260))) % 1.12/1.35 (assume @p63 (forall @t228 (or @t12 @t260))) % 1.12/1.35 (assume @p64 (forall @t228 (or @t244 @t260))) % 1.12/1.35 (assume @p65 (forall @t245 (or @t134 (= (tptp.hAPP @t261 @t132) @t1)))) % 1.12/1.35 (assume @p66 (forall @t228 (or @t12 (= (tptp.hAPP @t87 @t1) @t1)))) % 1.12/1.35 (assume @p67 (forall @t245 (or @t264 (not (= @t263 @t262)) @t33))) % 1.12/1.35 (assume @p68 (forall @t183 (or @t265 (not (= @t177 @t178)) @t160))) % 1.12/1.35 (assume @p69 (forall @t199 (or (not (= @t269 @t268)) @t266))) % 1.12/1.35 (assume @p70 (forall @t282 (or @t238 @t281 @t278 (not @t276) @t274 @t272))) % 1.12/1.35 (assume @p71 (forall @t282 (or @t238 @t281 @t278 (not @t283) @t274 @t272))) % 1.12/1.35 (assume @p72 (forall (@list @t284 @t1 @t25 @t3) (or (= (tptp.hAPP @t286 @t287) @t287) @t285))) % 1.12/1.35 (assume @p73 (forall (@list @t284 @t1 @t3) (or (= (tptp.hAPP @t286 @t1) @t1) @t285))) % 1.12/1.35 (assume @p74 (forall @t289 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t3)) @t288 @t243 @t33))) % 1.12/1.35 (assume @p75 (forall @t245 (or @t12 @t33 @t288 @t243))) % 1.12/1.35 (assume @p76 (forall @t172 (or @t189 @t296 @t293))) % 1.12/1.35 (assume @p77 (forall @t195 (or @t191 @t188 @t189))) % 1.12/1.35 (assume @p78 (forall (@list @t297 @t165 @t98) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t165) @t98)) @t191 @t189 @t188))) % 1.12/1.35 (assume @p79 (forall (@list @t25 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t25) @t1)) @t298 @t33))) % 1.12/1.35 (assume @p80 (forall @t289 (or @t12 @t288 @t243 @t33))) % 1.12/1.35 (assume @p81 (forall @t289 (or @t12 @t288 @t33 @t243))) % 1.12/1.35 (assume @p82 (forall @t245 (or @t12 @t33 @t243 @t288))) % 1.12/1.35 (assume @p83 (forall @t228 (or @t12 (= (tptp.hAPP @t99 @t1) @t1)))) % 1.12/1.35 (assume @p84 (forall @t164 (or @t306 @t305 @t299 @t175))) % 1.12/1.35 (assume @p85 (forall @t245 (or @t134 (= (tptp.hAPP @t130 @t307) @t1)))) % 1.12/1.35 (assume @p86 (forall @t13 (or @t138 @t311 @t308))) % 1.12/1.35 (assume @p87 (forall @t13 (or @t138 @t311 @t312))) % 1.12/1.35 (assume @p88 (forall @t35 (or (tptp.hBOOL (tptp.hAPP @t313 @t25)) (not @t298)))) % 1.12/1.35 (assume @p89 (forall @t199 (or @t319 @t316))) % 1.12/1.35 (assume @p90 (forall @t172 (or @t292 @t320))) % 1.12/1.35 (assume @p91 (forall @t258 (or @t257 @t253 @t321))) % 1.12/1.35 (assume @p92 (forall @t245 (or @t238 @t240 @t322))) % 1.12/1.35 (assume @p93 (forall @t245 (or @t244 @t240 @t322))) % 1.12/1.35 (assume @p94 (forall @t183 (or @t265 (= (tptp.hAPP @t324 @t323) @t8)))) % 1.12/1.35 (assume @p95 (forall (@list @t3 @t86 @t25) (or @t328 (= (tptp.hAPP (tptp.hAPP @t43 @t327) @t326) @t25)))) % 1.12/1.35 (assume @p96 (forall @t333 (or @t332 (= (tptp.c_Finite__Set_Osetsum @t225 @t74 @t3 @t65) (tptp.hAPP (tptp.hAPP @t331 (tptp.hAPP (tptp.hAPP @t69 @t330) @t329)) (tptp.c_Finite__Set_Osetsum @t225 @t82 @t3 @t65))) @t78 @t77))) % 1.12/1.35 (assume @p97 (forall @t13 (or @t12 @t11 @t334))) % 1.12/1.35 (assume @p98 (forall @t135 (or @t12 @t90 @t335))) % 1.12/1.35 (assume @p99 (forall @t135 (or @t12 @t90 @t336))) % 1.12/1.35 (assume @p100 (forall @t135 (or @t12 @t240 @t340))) % 1.12/1.35 (assume @p101 (forall @t103 (or @t12 @t91 @t340))) % 1.12/1.35 (assume @p102 (forall @t96 (or @t12 (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t9 @t3)))) % 1.12/1.35 (assume @p103 (forall @t126 (or @t12 @t105 @t109 (not @t107)))) % 1.12/1.35 (assume @p104 (forall @t183 (or @t159 (not (= (tptp.hAPP @t52 @t2) @t341)) (= @t2 @t178) @t160))) % 1.12/1.35 (assume @p105 (forall @t345 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t344) @t343)) (not (tptp.hBOOL (tptp.hAPP @t185 @t235))) @t320))) % 1.12/1.35 (assume @p106 (forall @t245 (or @t211 (= @t347 (tptp.hAPP @t325 @t1))))) % 1.12/1.35 (assume @p107 (forall @t183 (or @t349 (= @t323 @t348)))) % 1.12/1.35 (assume @p108 (forall (@list @t3 @t2 @t45) (or @t211 (= @t303 @t351)))) % 1.12/1.35 (assume @p109 (forall (@list @t225 @t67 @t3 @t65) (= @t353 (tptp.c_Finite__Set_Ofold (tptp.c_COMBB @t225 @t67 @t3 @t352 @t65) @t65 @t3)))) % 1.12/1.35 (assume @p110 (forall @t172 (or (= @t354 (tptp.c_Suc @t168)) @t296))) % 1.12/1.35 (assume @p111 (forall @t64 (or @t56 @t357 @t356))) % 1.12/1.35 (assume @p112 (forall @t57 (or @t56 @t355 (not @t357)))) % 1.12/1.35 (assume @p113 (forall @t59 (or @t56 @t358 @t356))) % 1.12/1.35 (assume @p114 (forall @t57 (or @t56 @t355 (not @t358)))) % 1.12/1.35 (assume @p115 (forall @t183 (or @t362 (= @t323 (tptp.hAPP @t361 @t310))))) % 1.12/1.35 (assume @p116 (forall @t195 (or @t191 @t365))) % 1.12/1.35 (assume @p117 (forall @t195 (or @t364 (not @t191)))) % 1.12/1.35 (assume @p118 (forall @t172 (or @t188 @t367))) % 1.12/1.35 (assume @p119 (forall @t172 (or @t366 @t320))) % 1.12/1.35 (assume @p120 (forall @t135 (or @t12 (= @t372 @t369)))) % 1.12/1.35 (assume @p121 (forall @t94 (or @t12 (= (tptp.hAPP (tptp.hAPP @t9 @t371) @t1) (tptp.hAPP (tptp.hAPP @t95 @t373) (tptp.hAPP (tptp.hAPP @t9 @t86) @t1)))))) % 1.12/1.35 (assume @p122 (forall @t377 (or @t376 @t316 @t78))) % 1.12/1.35 (assume @p123 (forall @t289 (or @t12 (tptp.hBOOL (tptp.hAPP @t92 @t100))))) % 1.12/1.35 (assume @p124 (forall @t245 (or @t12 (tptp.hBOOL (tptp.hAPP @t14 @t100))))) % 1.12/1.35 (assume @p125 (forall @t13 (or @t12 @t116 @t334 @t7))) % 1.12/1.35 (assume @p126 (forall @t94 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t371) @t1)) @t110 @t378))) % 1.12/1.35 (assume @p127 (forall @t135 (or @t12 @t101 @t336 @t335))) % 1.12/1.35 (assume @p128 (forall @t57 (or @t380 @t379 (= @t62 @t38)))) % 1.12/1.35 (assume @p129 (forall @t57 (or @t380 @t379 (= @t45 @t44)))) % 1.12/1.35 (assume @p130 (forall (@list @t3 @t2 @t39 @t8 @t38) (or @t380 (= (tptp.hAPP @t53 @t44) @t51)))) % 1.12/1.35 (assume @p131 (forall (@list @t21 @t1 @t23 @t22 @t3) (or (= (tptp.hAPP @t26 @t1) @t1) @t24))) % 1.12/1.35 (assume @p132 (forall @t384 (or (= (tptp.hAPP (tptp.hAPP @t21 @t27) @t86) @t383) @t24))) % 1.12/1.35 (assume @p133 (forall @t28 (or (= @t27 (tptp.hAPP @t381 @t1)) @t24))) % 1.12/1.35 (assume @p134 (forall @t28 (or (= (tptp.hAPP @t26 @t27) @t27) @t24))) % 1.12/1.35 (assume @p135 (forall @t384 (or (= @t383 (tptp.hAPP @t381 (tptp.hAPP @t26 @t86))) @t24))) % 1.12/1.35 (assume @p136 (forall @t199 (or @t388 @t387))) % 1.12/1.35 (assume @p137 (forall @t389 (or @t386 (not @t388)))) % 1.12/1.35 (assume @p138 (forall @t389 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t268) @t269)) @t390))) % 1.12/1.35 (assume @p139 (forall @t182 (or @t181 @t394 @t392))) % 1.12/1.35 (assume @p140 (forall @t183 (or @t181 @t391 (not @t394)))) % 1.12/1.35 (assume @p141 (forall (@list @t65 @t67 @t3 @t68 @t66) (or @t85 (= (tptp.hAPP (tptp.hAPP @t69 @t75) (tptp.c_Finite__Set_Osetsum @t67 @t82 @t3 @t65)) @t70) @t78 @t77))) % 1.12/1.35 (assume @p142 (forall @t245 (or @t12 (tptp.hBOOL (tptp.hAPP @t89 @t1))))) % 1.12/1.35 (assume @p143 (forall @t245 (or @t12 (tptp.hBOOL (tptp.hAPP @t89 @t25))))) % 1.12/1.35 (assume @p144 (forall @t20 (or @t12 @t15 @t111 @t115))) % 1.12/1.35 (assume @p145 (forall @t135 (or @t12 @t339 @t335 @t241))) % 1.12/1.35 (assume @p146 (forall (@list @t3 @t2 @t39 @t45 @t8) (or @t380 (= @t54 (tptp.hAPP @t50 @t62))))) % 1.12/1.35 (assume @p147 (forall @t231 (= (tptp.hAPP @t395 @t68) @t79))) % 1.12/1.35 (assume @p148 (forall @t231 (= (tptp.hAPP @t81 @t269) @t79))) % 1.12/1.35 (assume @p149 (forall @t228 (or @t264 (= (tptp.hAPP @t397 @t1) @t396)))) % 1.12/1.35 (assume @p150 (forall @t228 (or @t264 (= (tptp.hAPP @t130 @t263) @t396)))) % 1.12/1.35 (assume @p151 (forall @t135 (or @t181 (= (tptp.hAPP (tptp.hAPP @t40 @t88) @t86) (tptp.hAPP (tptp.hAPP @t9 @t400) @t398))))) % 1.12/1.35 (assume @p152 (forall @t135 (or @t12 @t403 @t402 @t401))) % 1.12/1.35 (assume @p153 (forall @t408 (or @t238 (not @t407) @t405))) % 1.12/1.35 (assume @p154 (forall @t408 (or @t238 @t407 @t404))) % 1.12/1.35 (assume @p155 (forall @t108 (or @t12 @t411 @t410 @t409))) % 1.12/1.35 (assume @p156 (forall (@list @t3 @t1 @t45 @t38) (or @t159 @t158 (= (tptp.hAPP (tptp.hAPP @t43 @t412) @t413) (tptp.hAPP (tptp.hAPP @t43 @t413) @t412))))) % 1.12/1.35 (assume @p157 (forall @t135 (or @t159 @t158 (= @t414 (tptp.hAPP (tptp.hAPP @t43 @t157) @t155))))) % 1.12/1.35 (assume @p158 (forall @t282 (or @t12 (= (tptp.hAPP (tptp.hAPP @t80 @t418) @t417) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t416 @t415 @t3))))) % 1.12/1.35 (assume @p159 (forall @t239 (or @t238 (= (tptp.hAPP @t237 @t419) @t79)))) % 1.12/1.35 (assume @p160 (forall @t245 (or @t12 (= (tptp.hAPP @t87 @t88) @t88)))) % 1.12/1.35 (assume @p161 (forall @t183 (or @t265 (= (tptp.hAPP (tptp.hAPP @t43 @t61) @t8) @t2)))) % 1.12/1.35 (assume @p162 (forall @t164 (or @t421 (tptp.hBOOL (tptp.hAPP @t420 @t301)) @t278 @t392))) % 1.12/1.35 (assume @p163 (forall @t96 (or @t146 (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t145 @t3)))) % 1.12/1.35 (assume @p164 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t80 @t424) @t68) (tptp.hAPP (tptp.hAPP @t72 @t422) @t214)))) % 1.12/1.35 (assume @p165 (forall @t143 (= @t427 (tptp.hAPP @t426 @t144)))) % 1.12/1.35 (assume @p166 (forall @t135 (or @t432 (= @t431 @t428)))) % 1.12/1.35 (assume @p167 (forall @t94 (or @t432 (= (tptp.hAPP (tptp.hAPP @t127 @t430) @t1) (tptp.hAPP (tptp.hAPP @t145 @t433) (tptp.hAPP (tptp.hAPP @t127 @t86) @t1)))))) % 1.12/1.35 (assume @p168 (forall @t172 (or @t186 @t293))) % 1.12/1.35 (assume @p169 (forall @t172 (or @t292 @t187))) % 1.12/1.35 (assume @p170 (forall @t249 (or (not @t435) @t434))) % 1.12/1.35 (assume @p171 (forall @t245 (or @t211 (= @t155 (tptp.hAPP @t436 @t1))))) % 1.12/1.35 (assume @p172 (forall @t183 (or @t211 (= @t437 (tptp.hAPP @t49 @t2))))) % 1.12/1.35 (assume @p173 (forall @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t168) @t170)))) % 1.12/1.35 (assume @p174 (forall @t440 (or @t439 @t438))) % 1.12/1.35 (assume @p175 (forall @t440 (or @t439 @t442))) % 1.12/1.35 (assume @p176 (forall @t440 (or @t362 @t438))) % 1.12/1.35 (assume @p177 (forall @t440 (or @t362 @t442))) % 1.12/1.35 (assume @p178 (forall @t389 (or @t445 (= (tptp.hAPP (tptp.hAPP @t127 @t66) @t444) (tptp.hAPP (tptp.hAPP @t443 @t66) @t68)) @t77))) % 1.12/1.35 (assume @p179 (forall @t103 (or @t244 @t149 @t402 @t322))) % 1.12/1.35 (assume @p180 (forall @t232 (or @t447 @t446 @t316))) % 1.12/1.35 (assume @p181 (forall @t108 (or @t238 @t124 @t410 @t448))) % 1.12/1.35 (assume @p182 (forall @t245 (or @t12 @t449 @t241))) % 1.12/1.35 (assume @p183 (forall @t245 (or @t12 (not @t449) @t240))) % 1.12/1.35 (assume @p184 (forall @t245 (or @t12 (= @t100 @t1) @t378))) % 1.12/1.35 (assume @p185 (forall @t135 (or @t211 (= @t450 (tptp.hAPP (tptp.hAPP @t43 @t347) @t86))))) % 1.12/1.35 (assume @p186 (forall @t135 (or @t328 (= @t450 (tptp.hAPP @t325 @t451))))) % 1.12/1.35 (assume @p187 (forall @t440 (or @t349 @t455))) % 1.12/1.35 (assume @p188 (forall @t440 (or @t349 (= @t452 (tptp.hAPP @t300 @t303))))) % 1.12/1.35 (assume @p189 (forall @t440 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t3)) @t455))) % 1.12/1.35 (assume @p190 (forall @t459 (or @t211 (= @t458 (tptp.hAPP @t456 @t38))))) % 1.12/1.35 (assume @p191 (forall @t440 (or @t211 (= @t454 (tptp.hAPP @t456 @t8))))) % 1.12/1.35 (assume @p192 (forall @t459 (or @t211 (= @t458 (tptp.hAPP @t350 (tptp.hAPP @t302 @t38)))))) % 1.12/1.35 (assume @p193 (forall @t440 (or @t211 @t455))) % 1.12/1.35 (assume @p194 (forall (@list @t3 @t1 @t25 @t86 @t233) (or @t328 (not (= @t450 (tptp.hAPP @t325 @t233))) (= @t451 @t233)))) % 1.12/1.35 (assume @p195 (forall @t96 (or @t12 @t138 (= @t127 @t9)))) % 1.12/1.35 (assume @p196 (forall @t250 (tptp.hBOOL (tptp.hAPP @t190 @t169)))) % 1.12/1.35 (assume @p197 (forall @t249 @t434)) % 1.12/1.35 (assume @p198 (forall @t461 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 (tptp.c_Suc @t460)) @t222)) @t224 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t460) @t223)))))) % 1.12/1.35 (assume @p199 (forall @t464 (or @t463 @t462 @t392))) % 1.12/1.35 (assume @p200 (forall @t440 (or @t463 @t391 (not @t462)))) % 1.12/1.35 (assume @p201 (forall @t467 (or @t463 @t466 @t392))) % 1.12/1.35 (assume @p202 (forall @t440 (or @t463 @t391 (not @t466)))) % 1.12/1.35 (assume @p203 (forall @t464 (or @t421 @t462 @t392))) % 1.12/1.35 (assume @p204 (forall @t467 (or @t421 @t466 @t392))) % 1.12/1.35 (assume @p205 (forall @t183 (or @t380 (= @t469 @t468)))) % 1.12/1.35 (assume @p206 (forall @t183 (or @t380 (= @t469 @t471)))) % 1.12/1.35 (assume @p207 (forall @t473 (= (tptp.c_Fun_Ofun__upd @t225 @t1 @t472 @t65 @t3) @t225))) % 1.12/1.35 (assume @p208 (forall (@list @t225 @t1 @t25 @t65 @t3) (= (tptp.hAPP @t474 @t1) @t25))) % 1.12/1.35 (assume @p209 (forall (@list @t225 @t1 @t3 @t65) (= (tptp.c_Fun_Ofun__upd @t225 @t1 @t472 @t3 @t65) @t225))) % 1.12/1.35 (assume @p210 (forall (@list @t225 @t1 @t25 @t3 @t475) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t225 @t1 @t25 @t3 @t475) @t1) @t25))) % 1.12/1.35 (assume @p211 (forall (@list @t225 @t1 @t475 @t3) (= (tptp.c_Fun_Ofun__upd @t225 @t1 @t472 @t475 @t3) @t225))) % 1.12/1.35 (assume @p212 (forall (@list @t21 @t3 @t23 @t22) (or (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t21 @t3) @t24))) % 1.12/1.35 (assume @p213 (forall @t479 (or @t478 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t8) @t1))) @t24))) % 1.12/1.35 (assume @p214 (forall @t479 (or @t478 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t2) @t1))) @t24))) % 1.12/1.35 (assume @p215 (forall (@list @t23 @t1 @t86 @t21 @t25 @t22 @t3) (or @t482 @t481 @t24))) % 1.12/1.35 (assume @p216 (forall (@list @t23 @t1 @t25 @t21 @t86 @t22 @t3) (or @t30 @t481 @t24))) % 1.12/1.35 (assume @p217 (forall (@list @t23 @t1 @t2 @t21 @t8 @t22 @t3) (or @t485 @t484 @t24))) % 1.12/1.35 (assume @p218 (forall (@list @t23 @t1 @t8 @t21 @t2 @t22 @t3) (or @t486 @t484 @t24))) % 1.12/1.35 (assume @p219 (forall @t488 (or @t487 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t2) @t1))) @t24))) % 1.12/1.35 (assume @p220 (forall @t488 (or @t487 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t8) @t1))) @t24))) % 1.12/1.35 (assume @p221 (forall @t96 (or @t12 (tptp.c_Lattices_Olower__semilattice @t490 @t489 @t95 @t3)))) % 1.12/1.35 (assume @p222 (forall @t245 (or @t491 (= (tptp.hAPP @t154 @t155) @t155)))) % 1.12/1.35 (assume @p223 (forall @t245 (or @t134 @t493))) % 1.12/1.35 (assume @p224 (forall @t245 (or @t134 @t494))) % 1.12/1.35 (assume @p225 (forall @t135 (or @t138 @t495 @t335 @t241))) % 1.12/1.35 (assume @p226 (forall @t20 (or @t138 @t496 @t111 @t115))) % 1.12/1.35 (assume @p227 (forall @t245 (or @t138 @t494))) % 1.12/1.35 (assume @p228 (forall @t245 (or @t138 @t493))) % 1.12/1.35 (assume @p229 (forall @t199 (tptp.hBOOL (tptp.hAPP @t497 @t68)))) % 1.12/1.35 (assume @p230 (forall @t199 (tptp.hBOOL (tptp.hAPP @t497 @t66)))) % 1.12/1.35 (assume @p231 (forall @t218 (or @t502 (not @t501) @t500))) % 1.12/1.35 (assume @p232 (forall @t183 (or @t380 (= @t471 @t468)))) % 1.12/1.35 (assume @p233 (forall @t172 (or @t292 @t367))) % 1.12/1.35 (assume @p234 (forall @t172 (or @t503 @t293))) % 1.12/1.35 (assume @p235 (forall (@list @t65 @t68) (or (not (tptp.class_HOL_Ouminus @t65)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t505) @t68) tptp.v_x) (tptp.hAPP (tptp.c_HOL_Ouminus__class_Ouminus @t65) @t504))))) % 1.12/1.35 (assume @p236 (forall @t183 (or @t265 (= (tptp.hAPP @t302 (tptp.hAPP @t324 @t8)) @t8)))) % 1.12/1.35 (assume @p237 (forall @t94 (or @t432 (= (tptp.hAPP (tptp.hAPP @t145 @t129) @t1) (tptp.hAPP (tptp.hAPP @t127 @t506) (tptp.hAPP (tptp.hAPP @t145 @t86) @t1)))))) % 1.12/1.35 (assume @p238 (forall @t135 (or @t432 (= @t509 @t508)))) % 1.12/1.35 (assume @p239 (forall @t143 (= (tptp.hAPP @t73 @t141) (tptp.hAPP @t511 @t510)))) % 1.12/1.35 (assume @p240 (forall @t425 (= (tptp.hAPP (tptp.hAPP @t72 @t141) @t68) (tptp.hAPP (tptp.hAPP @t80 @t514) @t513)))) % 1.12/1.35 (assume @p241 (forall @t250 (not (tptp.hBOOL (tptp.hAPP @t363 @t165))))) % 1.12/1.35 (assume @p242 (forall @t522 (or @t188 (not @t521) @t517 @t516))) % 1.12/1.35 (assume @p243 (forall @t523 (or @t521 @t320 @t517 @t516))) % 1.12/1.35 (assume @p244 (forall @t245 (or @t134 @t524))) % 1.12/1.35 (assume @p245 (forall @t245 (or @t138 @t524))) % 1.12/1.35 (assume @p246 (forall @t199 (= (tptp.hAPP @t81 @t82) @t82))) % 1.12/1.35 (assume @p247 (forall @t250 (not (= @t169 @t165)))) % 1.12/1.35 (assume @p248 (forall @t250 (not (= @t165 @t169)))) % 1.12/1.35 (assume @p249 (forall @t228 (or @t138 (= (tptp.hAPP @t130 @t1) @t1)))) % 1.12/1.35 (assume @p250 (forall @t231 (= (tptp.hAPP @t81 @t68) @t68))) % 1.12/1.35 (assume @p251 (forall @t239 (or @t238 (= (tptp.hAPP (tptp.hAPP @t80 @t526) @t525) @t79)))) % 1.12/1.35 (assume @p252 (forall @t464 (or @t306 @t527 @t175))) % 1.12/1.35 (assume @p253 (forall @t464 (or @t463 @t527 @t175))) % 1.12/1.35 (assume @p254 (forall @t440 (or @t463 @t174 (not @t527)))) % 1.12/1.35 (assume @p255 (forall @t467 (or @t306 @t528 @t175))) % 1.12/1.35 (assume @p256 (forall @t467 (or @t463 @t528 @t175))) % 1.12/1.35 (assume @p257 (forall @t440 (or @t463 @t174 (not @t528)))) % 1.12/1.35 (assume @p258 (forall @t532 (or @t531 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t505) @t225) @t67) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65) @t530) @t529))))) % 1.12/1.35 (assume @p259 (forall @t108 (or @t238 @t124 @t106 @t448))) % 1.12/1.35 (assume @p260 (forall @t108 (or @t238 @t124 @t410 @t378))) % 1.12/1.35 (assume @p261 (forall @t250 (tptp.hBOOL (tptp.hAPP @t294 @t165)))) % 1.12/1.35 (assume @p262 (forall @t461 (or (tptp.hBOOL (tptp.hAPP @t533 @t222)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t223) @t222))) (not (tptp.hBOOL (tptp.hAPP @t533 @t223)))))) % 1.12/1.35 (assume @p263 (forall @t249 @t435)) % 1.12/1.35 (assume @p264 (forall @t232 (or @t447 @t535 @t316))) % 1.12/1.35 (assume @p265 (forall @t232 (or @t447 @t446 @t390))) % 1.12/1.35 (assume @p266 (forall @t103 (or @t244 @t149 @t402 @t241))) % 1.12/1.35 (assume @p267 (forall @t103 (or @t244 @t149 @t336 @t322))) % 1.12/1.35 (assume @p268 (forall (@list @t3 @t2 @t8 @t38 @t45) (or @t181 (tptp.hBOOL (tptp.hAPP @t5 @t301)) @t278 (not (tptp.hBOOL (tptp.hAPP @t5 @t441)))))) % 1.12/1.35 (assume @p269 (forall @t183 (or @t238 @t536 @t174))) % 1.12/1.35 (assume @p270 (forall @t183 (or @t238 (not @t536) @t175))) % 1.12/1.35 (assume @p271 (forall @t408 (or @t238 @t537 @t404))) % 1.12/1.35 (assume @p272 (forall @t408 (or @t238 (not @t537) @t405))) % 1.12/1.35 (assume @p273 (forall @t96 (or @t138 (tptp.c_OrderedGroup_Oab__semigroup__idem__mult @t127 @t3)))) % 1.12/1.35 (assume @p274 (forall @t542 (or (tptp.hBOOL (tptp.hAPP @t497 (tptp.hAPP @t213 @t540))) @t541 @t539))) % 1.12/1.35 (assume @p275 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t215 @t82) @t139) (tptp.hAPP @t81 @t544)))) % 1.12/1.35 (assume @p276 (forall @t228 (or @t491 (= (tptp.hAPP @t154 @t1) @t1)))) % 1.12/1.35 (assume @p277 (forall @t195 (or @t194 @t193 @t293))) % 1.12/1.35 (assume @p278 (forall @t172 (or @t188 (not @t546)))) % 1.12/1.35 (assume @p279 (forall @t172 (or @t186 @t320))) % 1.12/1.35 (assume @p280 (forall (@list @t3 @t225 @t68 @t65 @t547) (or @t549 (= (tptp.hAPP (tptp.hAPP @t42 @t548) @t547) (tptp.c_Finite__Set_Osetsum (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t42 @t225 @t3 @t352 @t65) @t65 @t3 @t3) @t547) @t68 @t65 @t3))))) % 1.12/1.35 (assume @p281 (forall @t555 (or @t554 @t553 @t551))) % 1.12/1.35 (assume @p282 (forall (@list @t225 @t1 @t25 @t65 @t3 @t86) (or (= (tptp.hAPP @t474 @t86) @t557) @t556))) % 1.12/1.35 (assume @p283 (forall @t227 (or (= (tptp.hAPP @t226 @t86) @t557) @t556))) % 1.12/1.35 (assume @p284 (forall @t135 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t560) @t559))))) % 1.12/1.35 (assume @p285 (forall @t183 (or @t362 (= @t360 (tptp.hAPP @t176 @t561))))) % 1.12/1.35 (assume @p286 (forall @t568 (or @t181 @t567 @t564 @t322))) % 1.12/1.35 (assume @p287 (forall @t568 (or @t181 @t567 @t243 (not @t564)))) % 1.12/1.35 (assume @p288 (forall @t94 (or @t12 (= (tptp.hAPP (tptp.hAPP @t95 @t338) @t1) (tptp.hAPP (tptp.hAPP @t9 @t569) (tptp.hAPP (tptp.hAPP @t95 @t86) @t1)))))) % 1.12/1.35 (assume @p289 (forall @t135 (or @t12 (= @t560 @t559)))) % 1.12/1.35 (assume @p290 (forall @t182 (or @t238 @t572 @t160 @t571))) % 1.12/1.35 (assume @p291 (forall @t182 (or @t238 @t572 @t571 @t160))) % 1.12/1.35 (assume @p292 (forall @t199 (or @t315 @t266 @t390))) % 1.12/1.35 (assume @p293 (forall @t172 (or @t188 @t189 @t293))) % 1.12/1.35 (assume @p294 (forall @t245 (or @t12 @t573 @t241))) % 1.12/1.35 (assume @p295 (forall @t245 (or @t12 (not @t573) @t240))) % 1.12/1.35 (assume @p296 (forall @t245 (or @t12 (= @t88 @t25) @t378))) % 1.12/1.35 (assume @p297 (forall @t135 (or @t181 (= (tptp.hAPP (tptp.hAPP @t40 @t100) @t86) (tptp.hAPP (tptp.hAPP @t95 @t400) @t398))))) % 1.12/1.35 (assume @p298 (forall (@list @t297 @t65 @t577 @t3 @t574 @t575) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t297 @t65 @t577 @t3) @t574) @t575) (tptp.hAPP @t576 @t574)))) % 1.12/1.35 (assume @p299 (forall @t245 (or @t12 @t243 @t242))) % 1.12/1.35 (assume @p300 (forall @t228 (or @t12 (not @t578) @t260))) % 1.12/1.35 (assume @p301 (forall @t228 (or @t12 @t259 @t578))) % 1.12/1.35 (assume @p302 (forall @t245 (or @t12 @t322 @t378))) % 1.12/1.35 (assume @p303 (forall @t289 (or @t12 @t242 @t243))) % 1.12/1.35 (assume @p304 (forall @t245 (or @t12 @t241 @t448))) % 1.12/1.35 (assume @p305 (forall @t289 (or @t12 @t288 @t240))) % 1.12/1.35 (assume @p306 (forall (@list @t65 @t3 @t67 @t225) (or @t257 (not @t255) @t321))) % 1.12/1.35 (assume @p307 (forall @t289 (or @t244 @t378 @t322))) % 1.12/1.35 (assume @p308 (forall @t440 (or @t580 @t579))) % 1.12/1.35 (assume @p309 (forall @t440 (or @t580 @t581))) % 1.12/1.35 (assume @p310 (forall @t440 (or @t362 @t579))) % 1.12/1.35 (assume @p311 (forall @t440 (or @t362 @t581))) % 1.12/1.35 (assume @p312 (forall @t135 (or @t12 (= (tptp.hAPP (tptp.hAPP @t9 @t88) @t86) @t582)))) % 1.12/1.35 (assume @p313 (forall @t135 (or @t12 (= @t582 (tptp.hAPP @t337 @t368))))) % 1.12/1.35 (assume @p314 (forall @t345 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t344) @t343)) @t293))) % 1.12/1.35 (assume @p315 (forall (@list @t98 @t235 @t165) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 (tptp.hAPP @t167 @t235)) (tptp.hAPP @t518 @t235))) @t293))) % 1.12/1.35 (assume @p316 (forall @t523 (or @t583 @t293 @t517 @t516))) % 1.12/1.35 (assume @p317 (forall @t522 (or @t292 (not @t583) @t517 @t516))) % 1.12/1.35 (assume @p318 (forall @t523 (or (not (= @t520 @t519)) @t517 @t516 @t189))) % 1.12/1.35 (assume @p319 (forall @t245 (or @t12 (= (tptp.hAPP @t87 @t100) @t1)))) % 1.12/1.35 (assume @p320 (forall @t199 (= @t217 (tptp.hAPP @t81 @t268)))) % 1.12/1.35 (assume @p321 (forall @t245 (or @t264 (= @t566 (tptp.hAPP @t130 @t262))))) % 1.12/1.35 (assume @p322 (forall (@list @t3 @t547 @t225 @t68 @t65) (or @t549 (= (tptp.hAPP @t584 @t548) (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB @t584 @t225 @t3 @t3 @t65) @t68 @t65 @t3))))) % 1.12/1.35 (assume @p323 (forall (@list @t23 @t1 @t21 @t2 @t8 @t22 @t3) (or @t483 (not @t486) (not @t485) @t24))) % 1.12/1.35 (assume @p324 (forall @t586 (or (tptp.hBOOL (tptp.hAPP @t585 @t25)) @t24))) % 1.12/1.35 (assume @p325 (forall @t586 (or (tptp.hBOOL (tptp.hAPP @t585 @t1)) @t24))) % 1.12/1.35 (assume @p326 (forall (@list @t23 @t1 @t21 @t25 @t86 @t22 @t3) (or @t480 (not @t482) @t32 @t24))) % 1.12/1.35 (assume @p327 (forall @t199 (or (= @t82 @t68) @t390))) % 1.12/1.35 (assume @p328 (forall @t199 (or (= @t82 @t66) @t387))) % 1.12/1.35 (assume @p329 (forall @t245 (or @t138 @t587 @t241))) % 1.12/1.35 (assume @p330 (forall @t245 (or @t138 (not @t587) @t240))) % 1.12/1.35 (assume @p331 (forall @t245 (or @t138 (= @t132 @t25) @t378))) % 1.12/1.35 (assume @p332 (forall @t20 (or @t12 @t589 @t588))) % 1.12/1.35 (assume @p333 (forall @t20 (or @t12 @t589 @t590))) % 1.12/1.35 (assume @p334 (forall @t108 (or @t12 @t123 @t409))) % 1.12/1.35 (assume @p335 (forall @t108 (or @t12 @t123 @t410))) % 1.12/1.35 (assume @p336 (forall @t103 (or @t12 @t149 @t591))) % 1.12/1.35 (assume @p337 (forall @t94 (or @t12 @t151 @t591))) % 1.12/1.35 (assume @p338 (forall @t199 (= @t82 @t422))) % 1.12/1.35 (assume @p339 (forall @t245 (or @t138 @t592))) % 1.12/1.35 (assume @p340 (forall @t245 (or @t134 @t592))) % 1.12/1.35 (assume @p341 (forall @t245 (or @t12 (= @t88 @t373)))) % 1.12/1.35 (assume @p342 (forall (@list @t3 @t2 @t39 @t8 @t45) (or (not (tptp.class_Ring__and__Field_Osemiring @t3)) (= (tptp.hAPP @t53 (tptp.hAPP @t50 @t45)) (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t593 @t39)) @t45))))) % 1.12/1.35 (assume @p343 (forall @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t168) @t98)))) % 1.12/1.35 (assume @p344 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t72 (tptp.hAPP @t426 @t141)) @t214) (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t511 @t424)) @t513)))) % 1.12/1.35 (assume @p345 (forall @t13 (or @t12 @t594 @t312))) % 1.12/1.35 (assume @p346 (forall @t13 (or @t12 @t594 @t308))) % 1.12/1.35 (assume @p347 (forall @t108 (or @t12 @t124 @t595))) % 1.12/1.35 (assume @p348 (forall @t126 (or @t12 @t125 @t595))) % 1.12/1.35 (assume @p349 (forall @t135 (or @t12 @t147 @t401))) % 1.12/1.35 (assume @p350 (forall @t135 (or @t12 @t147 @t402))) % 1.12/1.35 (assume @p351 (forall @t523 (or (= (tptp.hAPP (tptp.hAPP @t166 @t520) @t519) @t168) @t517 @t516))) % 1.12/1.35 (assume @p352 (forall (@list @t460 @t223 @t222) (= (tptp.hAPP (tptp.hAPP @t166 (tptp.hAPP @t596 @t223)) @t222) (tptp.hAPP (tptp.hAPP @t166 (tptp.hAPP @t596 @t222)) @t223)))) % 1.12/1.35 (assume @p353 (forall @t282 (or @t12 (= (tptp.hAPP (tptp.hAPP @t80 @t280) @t279) (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t416 @t415 @t3))))) % 1.12/1.35 (assume @p354 (forall (@list @t2 @t45 @t8) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 (tptp.hAPP (tptp.hAPP @t166 @t2) @t45)) (tptp.hAPP (tptp.hAPP @t166 @t8) @t45))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t45) @t2))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t2) @t8)))))) % 1.12/1.35 (assume @p355 (forall (@list @t225 @t65 @t68 @t3) (= (tptp.c_Set_Ovimage @t225 (tptp.hAPP @t599 @t68) @t3 @t65) (tptp.hAPP @t267 @t597)))) % 1.12/1.35 (assume @p356 (forall @t172 (or @t546 (= @t170 @t165) @t320))) % 1.12/1.35 (assume @p357 (forall @t172 (or @t293 @t365))) % 1.12/1.35 (assume @p358 (forall @t195 (or @t364 @t292))) % 1.12/1.35 (assume @p359 (forall @t135 (or @t159 @t158 (not (= @t347 @t451)) @t153))) % 1.12/1.35 (assume @p360 (forall @t440 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t3)) @t601 @t600))) % 1.12/1.35 (assume @p361 (forall @t440 (or @t602 @t601 @t600))) % 1.12/1.35 (assume @p362 (forall @t603 (or @t602 (not (= @t348 @t351)) @t600))) % 1.12/1.35 (assume @p363 (forall @t135 (or @t463 (= (tptp.hAPP (tptp.hAPP @t43 @t88) @t86) (tptp.hAPP (tptp.hAPP @t9 @t451) @t326))))) % 1.12/1.35 (assume @p364 (forall @t96 (or @t146 (tptp.c_Lattices_Olower__semilattice @t490 @t489 @t145 @t3)))) % 1.12/1.35 (assume @p365 (forall (@list @t3 @t139 @t66 @t68) (or @t501 @t604))) % 1.12/1.35 (assume @p366 (forall @t218 (or @t499 @t604))) % 1.12/1.35 (assume @p367 (forall @t20 (or @t138 @t19 @t605))) % 1.12/1.35 (assume @p368 (forall @t18 (or @t138 @t17 @t605))) % 1.12/1.35 (assume @p369 (forall @t13 (or @t138 @t606 @t7))) % 1.12/1.35 (assume @p370 (forall @t13 (or @t138 @t606 @t334))) % 1.12/1.35 (assume @p371 (forall @t135 (or @t138 @t240 @t607))) % 1.12/1.35 (assume @p372 (forall @t103 (or @t138 @t91 @t607))) % 1.12/1.35 (assume @p373 (forall @t522 (= (tptp.hAPP (tptp.hAPP @t166 @t354) (tptp.c_Suc @t222)) (tptp.hAPP (tptp.hAPP @t166 @t168) @t222)))) % 1.12/1.35 (assume @p374 (forall @t245 (or @t158 @t608))) % 1.12/1.35 (assume @p375 (forall @t245 (or @t328 @t608))) % 1.12/1.35 (assume @p376 (forall @t183 (or @t265 @t609))) % 1.12/1.35 (assume @p377 (forall @t183 (or @t328 @t609))) % 1.12/1.35 (assume @p378 (forall @t239 (or @t238 (= (tptp.hAPP (tptp.hAPP @t80 @t610) @t525) @t79)))) % 1.12/1.35 (assume @p379 (forall (@list @t3 @t8 @t68 @t2) (or @t138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t614) @t310)) @t612 @t77))) % 1.12/1.35 (assume @p380 (forall @t282 (or @t211 (= (tptp.hAPP @t453 @t457) (tptp.hAPP @t456 @t301))))) % 1.12/1.35 (assume @p381 (forall @t183 (or @t362 (= @t310 (tptp.hAPP @t176 @t615))))) % 1.12/1.35 (assume @p382 (forall @t199 (= (tptp.hAPP @t267 @t82) (tptp.hAPP @t616 @t268)))) % 1.12/1.35 (assume @p383 (forall @t245 (or @t264 (= (tptp.hAPP @t176 @t132) (tptp.hAPP @t617 @t262))))) % 1.12/1.35 (assume @p384 (forall @t183 (or @t362 (= (tptp.hAPP @t176 @t310) @t615)))) % 1.12/1.35 (assume @p385 (forall @t245 (or @t12 (= @t100 @t569)))) % 1.12/1.35 (assume @p386 (forall @t183 (or @t238 (not @t618) @t175))) % 1.12/1.35 (assume @p387 (forall @t183 (or @t238 @t618 @t174))) % 1.12/1.35 (assume @p388 (forall @t135 (or @t328 (not (= @t450 @t25)) (= @t1 @t327)))) % 1.12/1.35 (assume @p389 (forall @t250 (tptp.hBOOL (tptp.hAPP @t363 @t169)))) % 1.12/1.35 (assume @p390 (forall (@list @t3 @t8 @t38 @t45 @t2) (or @t238 @t276 @t283 @t392 @t619))) % 1.12/1.35 (assume @p391 (forall @t135 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t369) @t372))))) % 1.12/1.35 (assume @p392 (forall @t199 (= (tptp.hAPP @t267 @t74) (tptp.hAPP @t395 @t268)))) % 1.12/1.35 (assume @p393 (forall @t172 (or @t189 @t188 @t293))) % 1.12/1.35 (assume @p394 (forall @t245 (or @t238 @t33 @t243 @t241))) % 1.12/1.35 (assume @p395 (forall @t245 (or @t238 @t243 @t33 @t241))) % 1.12/1.35 (assume @p396 (forall @t620 (or @t266 @t315 @t390))) % 1.12/1.35 (assume @p397 (forall @t183 (or @t238 @t174 @t160 @t392))) % 1.12/1.35 (assume @p398 (forall @t183 (or @t238 @t174 @t392 @t160))) % 1.12/1.35 (assume @p399 (forall @t245 (or @t12 @t33 @t241 @t243))) % 1.12/1.35 (assume @p400 (forall @t245 (or @t12 @t33 @t243 @t241))) % 1.12/1.35 (assume @p401 (forall @t282 (or @t12 (= (tptp.hAPP (tptp.hAPP @t80 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t2 @t8 @t3)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t45 @t38 @t3)) (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t416 @t415 @t3))))) % 1.12/1.35 (assume @p402 (forall @t195 (or @t295 (not @t621)))) % 1.12/1.35 (assume @p403 (forall @t195 (or @t621 @t296))) % 1.12/1.35 (assume @p404 (forall @t440 (or @t622 (= (tptp.hAPP (tptp.hAPP @t42 @t437) @t45) (tptp.hAPP @t52 @t161))))) % 1.12/1.35 (assume @p405 (forall @t624 (or @t211 (= @t623 (tptp.hAPP @t206 @t201))))) % 1.12/1.35 (assume @p406 (forall @t624 (or @t211 (= @t623 (tptp.hAPP @t205 (tptp.hAPP @t202 @t203)))))) % 1.12/1.35 (assume @p407 (forall @t626 (or @t211 (= @t625 (tptp.hAPP @t206 @t200))))) % 1.12/1.35 (assume @p408 (forall @t626 (or @t211 (= @t625 (tptp.hAPP @t207 (tptp.hAPP @t205 @t200)))))) % 1.12/1.35 (assume @p409 (forall @t135 (or @t211 (= (tptp.hAPP @t154 (tptp.hAPP @t436 @t86)) (tptp.hAPP (tptp.hAPP @t42 @t155) @t86))))) % 1.12/1.35 (assume @p410 (forall @t440 (or @t211 @t627))) % 1.12/1.35 (assume @p411 (forall @t440 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t3)) @t627))) % 1.12/1.35 (assume @p412 (forall @t135 (or @t211 (= (tptp.hAPP @t154 @t326) @t414)))) % 1.12/1.35 (assume @p413 (forall @t183 (or @t328 (= @t628 (tptp.hAPP @t324 @t178))))) % 1.12/1.35 (assume @p414 (forall @t183 (or @t265 (= @t628 (tptp.hAPP (tptp.hAPP @t43 @t178) @t177))))) % 1.12/1.35 (assume @p415 (forall @t183 (or @t238 @t175 @t629))) % 1.12/1.35 (assume @p416 (forall @t245 (or @t12 @t322 @t448))) % 1.12/1.35 (assume @p417 (forall @t195 (or @t295 @t292))) % 1.12/1.35 (assume @p418 (forall @t289 (or @t244 @t448 @t322))) % 1.12/1.35 (assume @p419 (forall @t182 (or @t244 @t629 @t175))) % 1.12/1.35 (assume @p420 (forall @t633 (or @t85 (= (tptp.hAPP @t630 @t632) (tptp.hAPP (tptp.hAPP @t69 @t631) (tptp.hAPP @t630 @t68))) @t611 @t77))) % 1.12/1.35 (assume @p421 (forall (@list @t65 @t225 @t2 @t634 @t3) (or @t85 (= (tptp.c_Finite__Set_Osetsum @t225 (tptp.c_Set_Oinsert @t2 @t634 @t3) @t3 @t65) (tptp.hAPP @t638 (tptp.c_Finite__Set_Osetsum @t225 @t634 @t3 @t65))) (tptp.hBOOL (tptp.c_in @t2 @t634 @t3)) @t636))) % 1.12/1.35 (assume @p422 (forall @t633 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t65)) (= (tptp.hAPP @t640 @t632) (tptp.hAPP (tptp.hAPP @t639 @t631) (tptp.hAPP @t640 @t68))) @t611 @t77))) % 1.12/1.35 (assume @p423 (forall @t245 (or @t264 (not (= @t307 @t196)) (not (= @t132 @t396)) (= @t263 @t25)))) % 1.12/1.35 (assume @p424 (forall @t199 (or @t315 (not @t376) @t390 @t78))) % 1.12/1.35 (assume @p425 (forall (@list @t225 @t3 @t68 @t66) (or (= (tptp.c_Finite__Set_Osetsum @t225 @t217 @t3 tptp.tc_nat) (tptp.hAPP @t642 (tptp.c_Finite__Set_Osetsum @t225 @t66 @t3 tptp.tc_nat))) @t387 @t78))) % 1.12/1.35 (assume @p426 (forall @t199 (or (= @t644 (tptp.hAPP @t643 (tptp.c_Finite__Set_Ocard @t82 @t3))) (not (tptp.c_Finite__Set_Ofinite @t82 @t3))))) % 1.12/1.35 (assume @p427 (forall @t647 (or @t646 @t77 @t285))) % 1.12/1.35 (assume @p428 (forall @t650 (or @t491 @t649 @t77))) % 1.12/1.35 (assume @p429 (forall @t231 (or @t445 (= @t444 (tptp.hAPP (tptp.hAPP @t443 @t196) @t68)) @t77))) % 1.12/1.35 (assume @p430 (forall @t655 (or @t654 @t652 @t84))) % 1.12/1.35 (assume @p431 (forall @t408 (or @t238 @t407 (not (tptp.hBOOL (tptp.hAPP @t656 @t222)))))) % 1.12/1.35 (assume @p432 (forall @t183 (or @t238 @t536 @t571))) % 1.12/1.35 (assume @p433 (forall (@list @t225 @t86 @t1 @t68 @t3 @t25 @t65) (or (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t658 @t657 @t3 @t65) (not (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t68 @t25 @t3 @t65)) @t651))) % 1.12/1.35 (assume @p434 (forall @t662 (or (= @t661 @t141) @t659))) % 1.12/1.35 (assume @p435 (forall @t664 (or (= @t663 @t82) @t611))) % 1.12/1.35 (assume @p436 (forall @t555 (or @t315 @t654 @t667))) % 1.12/1.35 (assume @p437 (forall @t668 (or @t666 @t654 @t316))) % 1.12/1.35 (assume @p438 (forall @t662 (or (= @t661 (tptp.c_Set_Oinsert @t2 @t141 @t3)) (not @t659)))) % 1.12/1.35 (assume @p439 (forall @t664 (or (= @t663 @t669) @t612))) % 1.12/1.35 (assume @p440 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t428) @t431))))) % 1.12/1.35 (assume @p441 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t509) @t508))))) % 1.12/1.35 (assume @p442 (forall @t671 (or @t12 @t273 @t570 @t670))) % 1.12/1.35 (assume @p443 (forall @t672 (or @t12 @t271 @t570 @t670))) % 1.12/1.35 (assume @p444 (forall @t676 (or (= @t675 @t674) @t673))) % 1.12/1.35 (assume @p445 (forall @t671 (or @t238 @t273 @t392 @t619))) % 1.12/1.35 (assume @p446 (forall @t672 (or @t238 @t271 @t392 @t619))) % 1.12/1.35 (assume @p447 (forall (@list @t3 @t45 @t38 @t2 @t8) (or @t238 @t277 @t619))) % 1.12/1.35 (assume @p448 (forall @t282 (or @t238 @t281 @t278 @t391))) % 1.12/1.35 (assume @p449 (forall @t239 (or @t12 (= (tptp.hAPP (tptp.hAPP @t72 @t610) @t525) @t679) @t678 @t677))) % 1.12/1.35 (assume @p450 (forall @t239 (or @t12 (= (tptp.hAPP @t681 @t419) @t680) @t678 @t677))) % 1.12/1.35 (assume @p451 (forall @t96 (tptp.hBOOL (tptp.hAPP @t683 @t682)))) % 1.12/1.35 (assume @p452 (forall @t685 (or @t684 (not (tptp.hBOOL (tptp.hAPP @t318 @t269)))))) % 1.12/1.35 (assume @p453 (forall @t690 (or @t349 (tptp.c_Finite__Set_Ofold__graph @t43 @t2 @t689 @t1 @t3 @t3) @t686 @t612 (not (tptp.c_Finite__Set_Ofold__graph @t43 @t8 @t68 @t1 @t3 @t3))))) % 1.12/1.35 (assume @p454 (forall @t692 (or (= @t691 (tptp.hAPP @t642 @t637)) @t612))) % 1.12/1.35 (assume @p455 (forall @t690 (or @t622 (tptp.c_Finite__Set_Ofold__graph @t42 @t2 @t689 @t1 @t3 @t3) @t686 @t612 (not (tptp.c_Finite__Set_Ofold__graph @t42 @t8 @t68 @t1 @t3 @t3))))) % 1.12/1.35 (assume @p456 (forall (@list @t68 @t225 @t3 @t65 @t1) (or (= (tptp.hAPP @t695 @t472) @t1) @t652 @t694))) % 1.12/1.35 (assume @p457 (forall (@list @t225 @t68 @t475 @t3 @t1) (or (not (tptp.c_Fun_Oinj__on @t225 @t68 @t475 @t3)) (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t68 @t225 @t475 @t3) @t472) @t1) @t696))) % 1.12/1.35 (assume @p458 (forall (@list @t3 @t460 @t98 @t165) (or @t12 (= (tptp.hAPP (tptp.hAPP @t215 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t460 @t98 @t3)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t460 @t165 @t3)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t165 @t98 @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t460) @t165)))))) % 1.12/1.35 (assume @p459 (forall @t183 (or @t238 @t697 @t629))) % 1.12/1.35 (assume @p460 (forall @t96 (or @t264 (= (tptp.hAPP @t176 @t196) @t396)))) % 1.12/1.35 (assume @p461 (forall @t96 (or @t264 (= (tptp.hAPP @t176 @t396) @t196)))) % 1.12/1.35 (assume @p462 (forall @t702 (or @t12 (tptp.hBOOL (tptp.hAPP @t148 @t700)) @t701 (not (tptp.hBOOL (tptp.hAPP @t148 @t699))) @t684 @t77))) % 1.12/1.35 (assume @p463 (forall @t703 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t699) @t1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t700) @t1))) @t701 @t684 @t77))) % 1.12/1.35 (assume @p464 (forall @t231 (or @t705 (not @t704) @t77))) % 1.12/1.35 (assume @p465 (forall @t231 (or @t704 @t706 @t77))) % 1.12/1.35 (assume @p466 (forall @t96 (= (tptp.hAPP @t267 @t229) @t79))) % 1.12/1.35 (assume @p467 (forall @t96 (= @t682 @t229))) % 1.12/1.35 (assume @p468 (forall @t650 (or @t622 @t649 @t611 @t77))) % 1.12/1.35 (assume @p469 (forall @t650 (or @t349 (= (tptp.hAPP @t707 @t632) (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t43 @t3 @t3) @t2) @t68)) @t611 @t77))) % 1.12/1.35 (assume @p470 (forall (@list @t3 @t225 @t65 @t68 @t66) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 (tptp.c_Set_Oimage @t225 @t710 @t65 @t3)) (tptp.hAPP (tptp.hAPP @t80 @t674) @t708))))) % 1.12/1.35 (assume @p471 (forall @t143 (or (not @t711) @t499))) % 1.12/1.35 (assume @p472 (forall @t143 (or @t711 @t500))) % 1.12/1.35 (assume @p473 (forall @t228 (or @t264 (= (tptp.hAPP @t261 @t263) @t196)))) % 1.12/1.35 (assume @p474 (forall @t228 (or @t264 (= (tptp.hAPP @t617 @t1) @t196)))) % 1.12/1.35 (assume @p475 (forall @t199 (= (tptp.hAPP @t81 @t712) @t79))) % 1.12/1.35 (assume @p476 (forall @t199 (or @t84 (= @t217 @t68)))) % 1.12/1.35 (assume @p477 (forall @t199 (or @t349 @t84 @t714 @t78 @t684 @t77 (= (tptp.hAPP @t707 @t74) (tptp.hAPP (tptp.hAPP @t43 @t713) (tptp.hAPP @t707 @t66)))))) % 1.12/1.35 (assume @p478 (forall @t199 (or @t622 @t84 @t714 @t78 @t684 @t77 @t716))) % 1.12/1.35 (assume @p479 (forall @t231 (= (tptp.hAPP @t73 @t269) @t229))) % 1.12/1.35 (assume @p480 (forall @t231 (= (tptp.hAPP @t616 @t68) @t229))) % 1.12/1.35 (assume @p481 (forall @t718 (or (tptp.c_Fun_Oinj__on @t695 @t717 @t65 @t3) @t694))) % 1.12/1.35 (assume @p482 (forall @t718 (or (= (tptp.c_Set_Oimage @t695 @t717 @t65 @t3) @t68) @t694))) % 1.12/1.35 (assume @p483 (forall @t199 (= (tptp.hAPP @t267 @t217) (tptp.hAPP @t616 @t66)))) % 1.12/1.35 (assume @p484 (forall @t199 (= (tptp.hAPP @t719 @t82) @t68))) % 1.12/1.35 (assume @p485 (forall @t143 (= (tptp.hAPP @t216 @t424) (tptp.hAPP @t221 @t720)))) % 1.12/1.35 (assume @p486 (forall @t143 (= (tptp.hAPP @t216 @t141) (tptp.hAPP @t719 @t720)))) % 1.12/1.35 (assume @p487 (forall (@list @t3 @t225 @t65 @t1) (or (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t229 @t225 @t3 @t65) @t472) @t1) @t721))) % 1.12/1.35 (assume @p488 (forall @t231 (= @t269 (tptp.hAPP (tptp.hAPP @t215 @t229) @t68)))) % 1.12/1.35 (assume @p489 (forall @t650 (or @t445 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t632 @t3) (tptp.hAPP @t309 @t444))))) % 1.12/1.35 (assume @p490 (forall @t96 (or @t12 (= @t722 (tptp.c_Finite__Set_Ofold1 @t95 @t3))))) % 1.12/1.35 (assume @p491 (forall @t96 (or @t12 (= @t723 @t698)))) % 1.12/1.35 (assume @p492 (forall @t245 (or @t264 (= (tptp.hAPP @t176 @t307) (tptp.hAPP @t397 @t262))))) % 1.12/1.35 (assume @p493 (forall @t183 (or @t362 (= (tptp.hAPP @t176 @t360) @t561)))) % 1.12/1.35 (assume @p494 (forall @t245 (or @t12 (= (tptp.hAPP @t99 @t88) @t1)))) % 1.12/1.35 (assume @p495 (forall @t603 (or @t725 @t572 @t174 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 (tptp.hAPP @t724 @t2)) (tptp.hAPP @t724 @t8))))))) % 1.12/1.35 (assume @p496 (forall @t603 (or @t725 @t572 @t174 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t46 @t162) @t161)))))) % 1.12/1.35 (assume @p497 (forall (@list @t165 @t460) (or (= (tptp.hAPP @t518 (tptp.hAPP @t518 @t460)) @t460) (not (tptp.hBOOL (tptp.hAPP @t533 @t165)))))) % 1.12/1.35 (assume @p498 (forall @t172 (or (= @t98 @t169) @t292 (not @t503)))) % 1.12/1.35 (assume @p499 (forall @t249 (or @t248 @t434))) % 1.12/1.35 (assume @p500 (forall @t172 (or @t320 @t193))) % 1.12/1.35 (assume @p501 (forall @t195 (or @t192 @t188))) % 1.12/1.35 (assume @p502 (forall @t135 (or @t463 (= (tptp.hAPP (tptp.hAPP @t43 @t100) @t86) (tptp.hAPP (tptp.hAPP @t95 @t451) @t326))))) % 1.12/1.35 (assume @p503 (forall @t199 (= (tptp.hAPP @t216 @t268) @t82))) % 1.12/1.35 (assume @p504 (forall @t726 (or @t159 (= (tptp.hAPP (tptp.hAPP @t42 @t178) @t178) @t341)))) % 1.12/1.35 (assume @p505 (forall @t135 (or @t12 (= (tptp.hAPP (tptp.hAPP @t95 @t100) @t86) @t727)))) % 1.12/1.35 (assume @p506 (forall @t183 (or @t380 (= (tptp.hAPP @t470 @t178) @t437)))) % 1.12/1.35 (assume @p507 (forall @t135 (or @t12 (= @t727 (tptp.hAPP @t370 @t558))))) % 1.12/1.35 (assume @p508 (forall @t183 (or @t265 (= (tptp.hAPP @t60 @t178) @t323)))) % 1.12/1.35 (assume @p509 (forall (@list @t66 @t1 @t3 @t68) (or @t552 @t728))) % 1.12/1.35 (assume @p510 (forall (@list @t68 @t1 @t3 @t66) (or @t550 @t728))) % 1.12/1.35 (assume @p511 (forall @t729 (or (not (= @t226 @t225)) (= @t472 @t25)))) % 1.12/1.35 (assume @p512 (forall (@list @t3 @t2 @t98 @t8) (or @t211 (= (tptp.hAPP (tptp.hAPP @t43 (tptp.hAPP @t52 @t98)) (tptp.hAPP @t49 @t98)) (tptp.hAPP @t593 @t98))))) % 1.12/1.35 (assume @p513 (forall (@list @t3 @t225 @t65 @t68) (or @t328 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBB @t176 @t225 @t3 @t3 @t65) @t68 @t65 @t3) (tptp.hAPP @t176 @t548))))) % 1.12/1.35 (assume @p514 (forall @t199 (or @t83 (not @t730)))) % 1.12/1.35 (assume @p515 (forall @t199 (or @t84 @t730))) % 1.12/1.35 (assume @p516 (forall @t245 (or @t12 (= (tptp.hAPP @t99 @t100) @t100)))) % 1.12/1.35 (assume @p517 (forall @t183 (or @t265 (= (tptp.hAPP (tptp.hAPP @t40 @t323) @t8) @t2)))) % 1.12/1.35 (assume @p518 (forall @t231 (= (tptp.hAPP @t267 @t269) @t68))) % 1.12/1.35 (assume @p519 (forall @t732 (or @t265 (= @t731 @t2)))) % 1.12/1.35 (assume @p520 (forall @t228 (or @t264 (= (tptp.hAPP @t176 @t263) @t1)))) % 1.12/1.35 (assume @p521 (forall @t726 (or @t265 (= @t8 @t733)))) % 1.12/1.35 (assume @p522 (forall @t732 (or @t265 (= @t2 @t731)))) % 1.12/1.35 (assume @p523 (forall @t726 (or @t265 (= @t733 @t8)))) % 1.12/1.35 (assume @p524 (forall @t20 (or @t146 @t734 @t588))) % 1.12/1.35 (assume @p525 (forall @t20 (or @t146 @t734 @t590))) % 1.12/1.35 (assume @p526 (forall @t183 (or @t328 (= (tptp.hAPP @t176 @t61) @t41)))) % 1.12/1.35 (assume @p527 (forall @t164 (or @t306 @t305 @t299 @t392))) % 1.12/1.35 (assume @p528 (forall @t164 (or @t306 @t305 @t278 @t175))) % 1.12/1.35 (assume @p529 (forall @t736 (= (tptp.c_Set_Ovimage @t225 @t710 @t3 @t65) (tptp.hAPP (tptp.hAPP @t80 @t597) @t735)))) % 1.12/1.35 (assume @p530 (forall (@list @t1 @t165) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t34) @t169)) (not (tptp.hBOOL (tptp.hAPP @t247 @t165)))))) % 1.12/1.35 (assume @p531 (forall @t172 (or @t188 (not @t737)))) % 1.12/1.35 (assume @p532 (forall @t172 (or @t737 @t320))) % 1.12/1.35 (assume @p533 (forall @t182 (or @t181 @t739 (not @t738)))) % 1.12/1.35 (assume @p534 (forall @t183 (or @t181 @t738 (not @t739)))) % 1.12/1.35 (assume @p535 (forall @t182 (or @t181 @t741 (not @t740)))) % 1.12/1.35 (assume @p536 (forall @t183 (or @t181 @t740 (not @t741)))) % 1.12/1.35 (assume @p537 (forall @t182 (or @t181 @t743 (not @t742)))) % 1.12/1.35 (assume @p538 (forall @t183 (or @t181 @t742 (not @t743)))) % 1.12/1.35 (assume @p539 (forall @t182 (or @t181 @t745 (not @t744)))) % 1.12/1.35 (assume @p540 (forall @t183 (or @t181 @t744 (not @t745)))) % 1.12/1.35 (assume @p541 (forall @t751 (or @t750 @t749 @t747))) % 1.12/1.35 (assume @p542 (forall (@list @t45 @t3 @t68) (or @t752 @t746))) % 1.12/1.35 (assume @p543 (forall (@list @t45 @t68 @t3) (or @t747 (not @t752)))) % 1.12/1.35 (assume @p544 (forall @t753 (or @t748 @t747 @t316))) % 1.12/1.35 (assume @p545 (forall @t753 (or @t748 @t754))) % 1.12/1.35 (assume @p546 (forall @t755 (or @t746 @t754))) % 1.12/1.35 (assume @p547 (forall (@list @t23 @t21 @t3 @t8 @t68 @t2 @t22) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t757) @t477)) @t612 @t77 @t24))) % 1.12/1.35 (assume @p548 (forall @t759 (or @t622 (tptp.c_Finite__Set_Ofold__graph @t42 @t86 @t758 (tptp.hAPP (tptp.hAPP @t42 @t86) @t25) @t3 @t3) @t686 (not (tptp.c_Finite__Set_Ofold__graph @t42 @t8 @t68 @t25 @t3 @t3))))) % 1.12/1.35 (assume @p549 (forall @t759 (or @t349 (tptp.c_Finite__Set_Ofold__graph @t43 @t86 @t758 (tptp.hAPP (tptp.hAPP @t43 @t86) @t25) @t3 @t3) @t686 (not (tptp.c_Finite__Set_Ofold__graph @t43 @t8 @t68 @t25 @t3 @t3))))) % 1.12/1.35 (assume @p550 (forall (@list @t68 @t3 @t225 @t86 @t1 @t65) (or @t76 (not (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t68 @t1 @t3 @t65))))) % 1.12/1.35 (assume @p551 (forall @t764 (or @t763 @t762))) % 1.12/1.35 (assume @p552 (forall @t764 (or @t763 @t636))) % 1.12/1.35 (assume @p553 (forall @t228 (or @t198 (= (tptp.hAPP (tptp.hAPP @t127 @t396) @t1) @t396)))) % 1.12/1.35 (assume @p554 (forall @t228 (or @t198 (= (tptp.hAPP @t130 @t396) @t396)))) % 1.12/1.35 (assume @p555 (forall (@list @t225 @t67 @t3 @t65 @t86) (= (tptp.hAPP (tptp.hAPP @t353 @t86) @t765) @t86))) % 1.12/1.35 (assume @p556 (forall (@list @t225 @t65 @t3 @t86) (= (tptp.hAPP (tptp.hAPP (tptp.c_Finite__Set_Ofold @t225 @t65 @t3) @t86) @t765) @t86))) % 1.12/1.35 (assume @p557 (forall @t231 (not (tptp.hBOOL (tptp.hAPP @t314 @t79))))) % 1.12/1.35 (assume @p558 (forall (@list @t1 @t86 @t225 @t3 @t65) (or (= @t1 @t86) (not (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t79 @t1 @t3 @t65))))) % 1.12/1.35 (assume @p559 (forall @t231 (= (tptp.hAPP @t81 @t79) @t79))) % 1.12/1.35 (assume @p560 (forall @t230 (= (tptp.hAPP (tptp.hAPP @t80 @t79) @t66) @t79))) % 1.12/1.35 (assume @p561 (forall @t766 (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t79 @t86 @t3 @t65))) % 1.12/1.35 (assume @p562 (forall @t766 (tptp.c_Nitpick_Ofold__graph_H @t225 @t86 @t79 @t86 @t3 @t65))) % 1.12/1.35 (assume @p563 (forall @t768 (or @t349 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBS (tptp.c_COMBB @t43 @t225 @t3 @t352 @t65) @t67 @t65 @t3 @t3) @t68 @t65 @t3) (tptp.hAPP (tptp.hAPP @t43 @t548) @t767))))) % 1.12/1.35 (assume @p564 (forall @t769 (or @t138 (= (tptp.hAPP @t613 @t632) (tptp.hAPP @t309 @t614)) @t77))) % 1.12/1.35 (assume @p565 (forall (@list @t21 @t3 @t8 @t2 @t68 @t23 @t22) (or (= (tptp.hAPP @t756 @t632) (tptp.hAPP @t476 @t757)) @t77 @t24))) % 1.12/1.35 (assume @p566 (forall (@list @t3 @t2 @t68 @t66) (= (tptp.hAPP (tptp.hAPP @t80 @t632) @t660) @t669))) % 1.12/1.35 (assume @p567 (forall (@list @t65 @t225 @t68 @t3 @t2) (or @t85 (= @t330 (tptp.hAPP @t638 @t770)) @t612 @t77))) % 1.12/1.35 (assume @p568 (forall @t768 (or @t328 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBS (tptp.c_COMBB @t40 @t225 @t3 @t352 @t65) @t67 @t65 @t3 @t3) @t68 @t65 @t3) (tptp.hAPP (tptp.hAPP @t40 @t548) @t767))))) % 1.12/1.35 (assume @p569 (forall @t668 (or @t666 @t390 @t651 @t316))) % 1.12/1.35 (assume @p570 (forall @t668 (or @t666 @t390 @t651 @t653))) % 1.12/1.35 (assume @p571 (forall @t555 (or @t319 @t651 @t653 @t667))) % 1.12/1.35 (assume @p572 (forall @t769 (or @t146 (= (tptp.hAPP @t771 @t632) (tptp.hAPP @t359 @t772)) @t77))) % 1.12/1.35 (assume @p573 (forall @t239 (or @t12 (= (tptp.hAPP @t681 @t234) @t773) @t678 @t677))) % 1.12/1.35 (assume @p574 (forall @t239 (or @t12 (= (tptp.hAPP (tptp.hAPP @t72 @t526) @t525) @t773) @t678 @t677))) % 1.12/1.35 (assume @p575 (forall (@list @t225 @t1 @t25 @t3 @t65 @t68) (or (tptp.c_Fun_Oinj__on @t226 @t68 @t3 @t65) @t774 @t694))) % 1.12/1.35 (assume @p576 (forall (@list @t225 @t68 @t3 @t65 @t25) (or (= (tptp.hAPP @t225 (tptp.hAPP @t695 @t25)) @t25) (not @t774) @t694))) % 1.12/1.35 (assume @p577 (forall (@list @t68 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP @t776 @t775)) @t77))) % 1.12/1.35 (assume @p578 (forall @t620 (or @t266 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t374) @t375))) @t390 @t78))) % 1.12/1.35 (assume @p579 (forall @t377 (or (tptp.hBOOL (tptp.hAPP @t776 @t374)) @t390 @t78))) % 1.12/1.35 (assume @p580 (forall (@list @t23 @t21 @t3 @t68 @t2 @t22) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t777) @t2)) @t612 @t77 @t24))) % 1.12/1.35 (assume @p581 (forall @t779 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t778) @t375)) @t77))) % 1.12/1.35 (assume @p582 (forall @t783 (or @t782 @t535 @t539 @t780))) % 1.12/1.35 (assume @p583 (forall @t784 (or @t782 @t721))) % 1.12/1.35 (assume @p584 (forall @t183 (or @t445 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t786 @t3) @t310)))) % 1.12/1.35 (assume @p585 (forall @t791 (= @t790 (tptp.hAPP @t81 @t788)))) % 1.12/1.35 (assume @p586 (forall @t795 (or @t12 @t794 @t652 (tptp.hBOOL (tptp.c_in @t792 @t68 @t3)) @t77))) % 1.12/1.35 (assume @p587 (forall @t795 (or @t12 @t798 @t652 (tptp.hBOOL (tptp.c_in @t796 @t68 @t3)) @t77))) % 1.12/1.35 (assume @p588 (forall (@list @t284 @t86 @t8 @t68 @t3 @t25) (or (tptp.c_Finite__Set_Ofold__graph @t284 @t86 @t758 (tptp.hAPP (tptp.hAPP @t284 @t86) @t25) @t3 @t3) @t686 (not (tptp.c_Finite__Set_Ofold__graph @t284 @t8 @t68 @t25 @t3 @t3)) @t799))) % 1.12/1.35 (assume @p589 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.v_P tptp.t_a tptp.t_b tptp.t_c) tptp.v_Q) tptp.v_R) (tptp.hAPP @t800 tptp.v_Q))) % 1.12/1.35 (assume @p590 (forall (@list @t3 @t2 @t8 @t68) (or @t146 (tptp.hBOOL (tptp.hAPP @t801 @t772)) @t612 @t77))) % 1.12/1.35 (assume @p591 (forall @t804 (or @t693 @t803))) % 1.12/1.35 (assume @p592 (forall (@list @t225 @t66 @t3 @t65 @t68) (or @t805 @t803))) % 1.12/1.35 (assume @p593 (forall @t736 (= (tptp.c_Set_Ovimage @t225 @t806 @t3 @t65) (tptp.hAPP (tptp.hAPP @t72 @t597) @t735)))) % 1.12/1.35 (assume @p594 (forall @t245 (or @t134 @t807))) % 1.12/1.35 (assume @p595 (forall @t245 (or @t146 @t807))) % 1.12/1.35 (assume @p596 (forall @t199 (= (tptp.hAPP @t73 @t74) @t74))) % 1.12/1.35 (assume @p597 (forall @t245 (or @t134 @t808))) % 1.12/1.35 (assume @p598 (forall @t245 (or @t146 @t808))) % 1.12/1.35 (assume @p599 (forall @t199 (= @t74 @t514))) % 1.12/1.35 (assume @p600 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t215 @t74) @t139) (tptp.hAPP (tptp.hAPP @t72 @t720) @t544)))) % 1.12/1.35 (assume @p601 (forall (@list @t65 @t68 @t66) (or (not (tptp.class_HOL_Ominus @t65)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t505) @t68) @t66) tptp.v_x) (tptp.hAPP (tptp.hAPP @t331 @t504) (tptp.hAPP @t66 tptp.v_x)))))) % 1.12/1.35 (assume @p602 (forall @t199 (= @t809 @t74))) % 1.12/1.35 (assume @p603 (forall @t389 (= (tptp.hAPP (tptp.hAPP @t72 @t712) @t68) @t514))) % 1.12/1.35 (assume @p604 (forall @t685 (or (not (= @t375 (tptp.c_Finite__Set_Ocard @t229 @t3))) @t706 (= @t68 @t229)))) % 1.12/1.35 (assume @p605 (forall @t812 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t811 @t789) @t810)) @t390))) % 1.12/1.35 (assume @p606 (forall @t784 (or @t815 @t721))) % 1.12/1.35 (assume @p607 (forall @t199 (tptp.hBOOL (tptp.hAPP @t816 @t68)))) % 1.12/1.35 (assume @p608 (forall @t199 (or (= @t809 @t66) @t390))) % 1.12/1.35 (assume @p609 (forall @t245 (or @t134 @t817))) % 1.12/1.35 (assume @p610 (forall @t289 (or @t134 @t818))) % 1.12/1.35 (assume @p611 (forall @t135 (or @t146 @t819 @t336 @t335))) % 1.12/1.35 (assume @p612 (forall @t94 (or @t146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t430) @t1)) @t110 @t378))) % 1.12/1.35 (assume @p613 (forall @t289 (or @t146 @t818))) % 1.12/1.35 (assume @p614 (forall @t245 (or @t146 @t817))) % 1.12/1.35 (assume @p615 (forall @t13 (or @t146 @t820 @t334 @t7))) % 1.12/1.35 (assume @p616 (forall @t143 (or @t822 @t535 @t539))) % 1.12/1.35 (assume @p617 (forall @t199 (tptp.hBOOL (tptp.hAPP @t318 @t74)))) % 1.12/1.35 (assume @p618 (forall (@list @t3 @t68 @t1 @t25) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 (tptp.c_Finite__Set_Ocard (tptp.hAPP (tptp.hAPP @t215 @t825) (tptp.c_Set_Oinsert @t25 @t79 @t3)) @t3)) @t375)) @t823 @t652 @t77))) % 1.12/1.35 (assume @p619 (forall @t795 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t184 @t826) @t375)) @t652 @t77))) % 1.12/1.35 (assume @p620 (forall @t795 (or (= @t827 @t375) @t652 @t77))) % 1.12/1.35 (assume @p621 (forall @t830 (or @t332 @t829 @t612 @t77))) % 1.12/1.35 (assume @p622 (forall @t830 (or (not (tptp.class_Ring__and__Field_Oring @t65)) @t829 @t612 @t77))) % 1.12/1.35 (assume @p623 (forall (@list @t3 @t68 @t66 @t284) (or @t84 @t714 @t78 @t684 @t77 @t799 @t832))) % 1.12/1.35 (assume @p624 (forall @t647 (or @t646 @t611 @t77 @t799))) % 1.12/1.35 (assume @p625 (forall (@list @t284 @t2 @t8 @t3 @t68 @t1) (or (tptp.c_Finite__Set_Ofold__graph @t284 @t2 @t689 @t1 @t3 @t3) @t686 @t612 (not (tptp.c_Finite__Set_Ofold__graph @t284 @t8 @t68 @t1 @t3 @t3)) @t799))) % 1.12/1.35 (assume @p626 (forall @t333 (or @t833 @t803))) % 1.12/1.35 (assume @p627 (forall @t333 (or (not @t833) @t834 @t694 @t802))) % 1.12/1.35 (assume @p628 (forall (@list @t68 @t3 @t66 @t65 @t225) (or (tptp.hBOOL (tptp.hAPP @t776 @t839)) @t838 @t836 @t694))) % 1.12/1.35 (assume @p629 (forall @t840 (or (= @t775 @t827) @t77))) % 1.12/1.35 (assume @p630 (forall @t795 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t290 @t826) @t375)) @t77))) % 1.12/1.35 (assume @p631 (forall @t389 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 (tptp.hAPP @t698 @t66)) @t699)) @t78 @t390 @t684))) % 1.12/1.35 (assume @p632 (forall @t842 (or @t622 @t841 @t651 @t77 @t684))) % 1.12/1.35 (assume @p633 (forall @t842 (or @t349 (= (tptp.hAPP @t707 @t658) (tptp.hAPP @t346 @t713)) @t651 @t77 @t684))) % 1.12/1.35 (assume @p634 (forall @t676 (or (= @t675 (tptp.c_Set_Oinsert @t25 (tptp.c_Set_Oimage @t225 (tptp.hAPP @t844 (tptp.c_Set_Oinsert @t1 @t765 @t65)) @t65 @t3) @t3)) @t843))) % 1.12/1.35 (assume @p635 (forall @t668 (or @t666 @t390 @t846 @t653))) % 1.12/1.35 (assume @p636 (forall @t848 (or @t12 (= (tptp.hAPP (tptp.hAPP @t72 (tptp.c_Set_Oinsert @t235 @t79 @t3)) @t679) @t773) @t847))) % 1.12/1.35 (assume @p637 (forall @t848 (or @t12 (= (tptp.hAPP (tptp.hAPP @t72 @t680) (tptp.c_Set_Oinsert @t233 @t79 @t3)) @t773) @t847))) % 1.12/1.35 (assume @p638 (forall @t703 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t699) @t1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t700) @t1))) @t701 @t684 @t77))) % 1.12/1.35 (assume @p639 (forall @t702 (or @t138 (tptp.hBOOL (tptp.hAPP @t14 @t700)) @t701 (not (tptp.hBOOL (tptp.hAPP @t14 @t849))) @t684 @t77))) % 1.12/1.35 (assume @p640 (forall @t830 (or @t332 (= @t770 @t330) @t611 @t77))) % 1.12/1.35 (assume @p641 (forall @t858 (or @t857 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t855 (tptp.c_COMBK (tptp.hAPP (tptp.c_COMBC (tptp.c_fequal tptp.tc_Com_Ostate) tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_bool) @t854) @t852 tptp.t_a)) @t45) (tptp.c_COMBK (tptp.hAPP @t574 @t853) @t852 tptp.t_a)) @t851 @t850) tptp.t_a))))) % 1.12/1.35 (assume @p642 (forall @t199 (or @t12 (= (tptp.hAPP @t723 @t74) (tptp.hAPP (tptp.hAPP @t9 @t793) (tptp.hAPP @t723 @t66))) @t714 @t78 @t684 @t77))) % 1.12/1.35 (assume @p643 (forall @t199 (or @t12 (= (tptp.hAPP @t722 @t74) (tptp.hAPP (tptp.hAPP @t95 @t797) (tptp.hAPP @t722 @t66))) @t714 @t78 @t684 @t77))) % 1.12/1.35 (assume @p644 (forall @t842 (or @t12 (= (tptp.hAPP @t722 @t658) (tptp.hAPP @t99 @t797)) @t684 @t77))) % 1.12/1.35 (assume @p645 (forall @t842 (or @t12 (= (tptp.hAPP @t723 @t658) (tptp.hAPP @t87 @t793)) @t684 @t77))) % 1.12/1.35 (assume @p646 (forall (@list @t284 @t67 @t3 @t65 @t86 @t2 @t68) (or (= (tptp.hAPP @t860 (tptp.c_Set_Oinsert @t2 @t68 @t65)) (tptp.hAPP (tptp.hAPP @t284 @t631) (tptp.hAPP @t860 @t68))) (tptp.hBOOL (tptp.c_in @t2 @t68 @t65)) (not @t859) @t799))) % 1.12/1.35 (assume @p647 (forall @t795 (or @t12 @t798 @t652 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t796) @t1))) @t77))) % 1.12/1.35 (assume @p648 (forall @t795 (or @t12 @t794 @t652 (not (tptp.hBOOL (tptp.hAPP @t14 @t792))) @t77))) % 1.12/1.35 (assume @p649 (forall (@list @t65 @t225 @t3 @t68) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t811 (tptp.c_Set_Oimage @t225 @t269 @t3 @t65)) (tptp.hAPP @t599 @t717))) @t721))) % 1.12/1.35 (assume @p650 (forall (@list @t284 @t3 @t68 @t66) (or @t832 @t714 @t78 @t684 @t77 @t285))) % 1.12/1.35 (assume @p651 (forall @t199 (or @t491 @t716 @t714 @t78 @t684 @t77))) % 1.12/1.35 (assume @p652 (forall @t199 (or (= @t644 (tptp.hAPP @t643 @t374)) @t387 @t78))) % 1.12/1.35 (assume @p653 (forall @t862 (or @t861 @t77 @t684 @t285))) % 1.12/1.35 (assume @p654 (forall @t842 (or @t491 @t841 @t77 @t684))) % 1.12/1.35 (assume @p655 (forall (@list @t225 @t475 @t3 @t1) (or @t867 @t866 (= @t472 (tptp.hAPP @t225 @t863))))) % 1.12/1.35 (assume @p656 (forall (@list @t297 @t1 @t225 @t3 @t65) (or @t869 (tptp.hBOOL (tptp.c_in (tptp.c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1 @t297 @t225 @t3 @t65) @t868 @t65)) @t721))) % 1.12/1.35 (assume @p657 (forall (@list @t225 @t1 @t3 @t475) (or (not (= @t863 @t1)) @t867 @t866))) % 1.12/1.35 (assume @p658 (forall (@list @t8 @t225 @t65 @t3) (or (= @t8 (tptp.hAPP @t225 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t8 @t225 @t65 @t3))) (not (tptp.hBOOL (tptp.c_in @t8 @t868 @t65))) @t721))) % 1.12/1.35 (assume @p659 (forall (@list @t225 @t25 @t475 @t3) (or (not (tptp.hBOOL (tptp.c_in @t870 @t865 @t3))) @t867 (= @t25 (tptp.c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1 @t870 @t225 @t3 @t475))))) % 1.12/1.35 (assume @p660 (forall @t668 (or @t666 @t390 @t846 @t316))) % 1.12/1.35 (assume @p661 (forall (@list @t23 @t1 @t700 @t68 @t3 @t21 @t22) (or (tptp.hBOOL (tptp.hAPP @t29 @t700)) @t701 (not (tptp.hBOOL (tptp.hAPP @t29 @t777))) @t684 @t77 @t24))) % 1.12/1.35 (assume @p662 (forall (@list @t68 @t225 @t3 @t65 @t1 @t66) (or (tptp.hBOOL (tptp.c_in (tptp.hAPP @t695 @t1) @t66 @t3)) @t390 (not (tptp.hBOOL (tptp.c_in @t1 @t717 @t65))) @t694))) % 1.12/1.35 (assume @p663 (forall @t333 (or @t332 (= (tptp.c_Finite__Set_Osetsum @t225 @t217 @t3 @t65) (tptp.hAPP @t828 @t329)) @t387 @t77))) % 1.12/1.35 (assume @p664 (forall (@list @t3 @t68 @t2) (or @t138 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t849) @t2)) @t612 @t77))) % 1.12/1.35 (assume @p665 (forall @t871 (or (tptp.c_Nitpick_Ofold__graph_H @t225 @t86 @t68 @t657 @t3 @t65) (not (tptp.c_Nitpick_Ofold__graph_H @t225 @t86 @t825 @t25 @t3 @t65)) @t652))) % 1.12/1.35 (assume @p666 (forall @t668 (or @t845 @t652 @t653 @t667))) % 1.12/1.35 (assume @p667 (forall @t668 (or @t666 @t652 @t846 @t653))) % 1.12/1.35 (assume @p668 (forall @t668 (or @t666 @t652 @t846 @t316))) % 1.12/1.35 (assume @p669 (forall @t692 (or (= @t691 @t641) @t611))) % 1.12/1.35 (assume @p670 (forall @t871 (or (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t68 @t657 @t3 @t65) @t652 (not (tptp.c_Finite__Set_Ofold__graph @t225 @t86 @t825 @t25 @t3 @t65))))) % 1.12/1.35 (assume @p671 (forall @t873 (or @t872 (= (tptp.c_Finite__Set_Ocard @t824 @t3) (tptp.c_Suc (tptp.c_Finite__Set_Ocard @t79 @t3)))))) % 1.12/1.35 (assume @p672 (forall @t840 (or (= @t775 (tptp.c_Suc @t375)) @t651 @t77))) % 1.12/1.35 (assume @p673 (forall (@list @t3 @t225 @t66 @t65 @t68) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t735) @t68)) @t874 @t721))) % 1.12/1.35 (assume @p674 (forall @t143 (or @t876 (not @t875)))) % 1.12/1.35 (assume @p675 (forall @t143 (or @t875 (not @t876)))) % 1.12/1.35 (assume @p676 (forall (@list @t65 @t225 @t1 @t67 @t3) (or @t257 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_lessequals @t65) @t472) (tptp.hAPP @t67 @t1))) @t254))) % 1.12/1.35 (assume @p677 (forall (@list @t877 @t66 @t3 @t68) (or (tptp.hBOOL (tptp.c_in @t877 @t66 @t3)) (not (tptp.hBOOL (tptp.c_in @t877 @t68 @t3))) @t390))) % 1.12/1.35 (assume @p678 (forall @t655 (or @t653 @t390 @t652))) % 1.12/1.35 (assume @p679 (forall @t753 (or @t748 @t747 @t390))) % 1.12/1.35 (assume @p680 (forall @t655 (or @t653 @t652 @t390))) % 1.12/1.35 (assume @p681 (forall @t751 (or @t878 @t747))) % 1.12/1.35 (assume @p682 (forall @t751 (or @t878 @t749))) % 1.12/1.35 (assume @p683 (forall @t753 (or @t748 @t746 (not @t878)))) % 1.12/1.35 (assume @p684 (forall @t873 (tptp.hBOOL (tptp.c_in @t1 @t229 @t3)))) % 1.12/1.35 (assume @p685 (forall @t753 (or @t749 @t880))) % 1.12/1.35 (assume @p686 (forall @t755 (or @t746 @t880))) % 1.12/1.35 (assume @p687 (forall @t882 (or @t881 @t823 @t652 @t33 @t694))) % 1.12/1.35 (assume @p688 (forall @t882 (or @t881 @t823 @t652 @t694 @t33))) % 1.12/1.35 (assume @p689 (forall (@list @t225 @t1 @t700 @t68 @t3 @t65) (or (not (= @t472 (tptp.hAPP @t225 @t700))) @t701 @t652 @t694 (= @t1 @t700)))) % 1.12/1.35 (assume @p690 (forall @t882 (or @t881 @t694 @t33 @t823 @t652))) % 1.12/1.35 (assume @p691 (forall @t751 (or @t879 @t748 @t747))) % 1.12/1.35 (assume @p692 (forall (@list @t2 @t225 @t66 @t3 @t65) (or @t884 (not @t883)))) % 1.12/1.35 (assume @p693 (forall (@list @t2 @t225 @t68 @t65 @t3) (or (tptp.hBOOL (tptp.c_in @t2 @t789 @t65)) (not (tptp.hBOOL (tptp.c_in @t637 @t68 @t3)))))) % 1.12/1.35 (assume @p694 (forall (@list @t2 @t225 @t66 @t65 @t3) (or (tptp.hBOOL (tptp.c_in @t2 @t810 @t65)) (not (tptp.hBOOL (tptp.c_in @t637 @t66 @t3)))))) % 1.12/1.35 (assume @p695 (forall @t885 (or @t883 (not @t884)))) % 1.12/1.35 (assume @p696 (forall (@list @t225 @t2 @t68 @t65 @t3) (or (tptp.hBOOL (tptp.c_in @t637 @t68 @t65)) (not (tptp.hBOOL (tptp.c_in @t2 @t597 @t3)))))) % 1.12/1.35 (assume @p697 (forall @t842 (or @t12 (tptp.hBOOL (tptp.hAPP @t14 @t797)) @t652 @t77))) % 1.12/1.35 (assume @p698 (forall @t795 (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t793) @t1)) @t652 @t77))) % 1.12/1.35 (assume @p699 (forall @t889 (or (= @t888 @t79) @t886))) % 1.12/1.35 (assume @p700 (forall @t377 (or @t76 @t390 @t78))) % 1.12/1.35 (assume @p701 (forall @t377 (or @t76 @t78 @t390))) % 1.12/1.35 (assume @p702 (forall @t96 (or @t890 @t705))) % 1.12/1.35 (assume @p703 (forall (@list @t760 @t3 @t634) (or @t761 @t892))) % 1.12/1.35 (assume @p704 (forall (@list @t634 @t3 @t760) (or @t635 @t892))) % 1.12/1.35 (assume @p705 (forall @t764 (or @t891 @t762 @t636))) % 1.12/1.35 (assume @p706 (forall @t199 (or @t893 @t77 @t78))) % 1.12/1.35 (assume @p707 (forall @t377 (or @t76 @t894 @t78))) % 1.12/1.35 (assume @p708 (forall @t199 (or @t893 @t77))) % 1.12/1.35 (assume @p709 (forall @t228 (or @t198 (= (tptp.hAPP (tptp.hAPP @t145 @t396) @t1) @t1)))) % 1.12/1.35 (assume @p710 (forall @t228 (or @t198 (= (tptp.hAPP @t261 @t396) @t1)))) % 1.12/1.35 (assume @p711 (forall @t228 (or (not (tptp.class_Orderings_Obot @t3)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t396) @t1))))) % 1.12/1.35 (assume @p712 (forall @t199 (or @t198 @t895 (= @t68 @t396)))) % 1.12/1.35 (assume @p713 (forall @t199 (or @t198 @t895 (= @t66 @t396)))) % 1.12/1.35 (assume @p714 (forall @t897 (or @t896 @t612 @t721))) % 1.12/1.35 (assume @p715 (forall (@list @t2 @t68 @t3 @t225 @t65) (or @t611 (not @t896) @t721))) % 1.12/1.35 (assume @p716 (forall @t898 (= (tptp.c_Set_Ovimage @t225 @t765 @t3 @t65) @t79))) % 1.12/1.35 (assume @p717 (forall @t96 (= (tptp.hAPP @t899 @t79) @t79))) % 1.12/1.35 (assume @p718 (forall @t96 (tptp.hBOOL (tptp.hAPP @t683 @t79)))) % 1.12/1.35 (assume @p719 (forall @t685 (or @t684 (not (tptp.hBOOL (tptp.hAPP @t318 @t79)))))) % 1.12/1.35 (assume @p720 (forall @t96 (not (= @t229 @t79)))) % 1.12/1.35 (assume @p721 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t215 @t79) @t68) @t79))) % 1.12/1.35 (assume @p722 (forall @t231 (= (tptp.hAPP @t73 @t79) @t68))) % 1.12/1.35 (assume @p723 (forall @t230 (= (tptp.hAPP @t899 @t66) @t66))) % 1.12/1.35 (assume @p724 (forall @t231 (= (tptp.hAPP @t216 @t68) @t79))) % 1.12/1.35 (assume @p725 (forall @t231 (= (tptp.hAPP @t216 @t79) @t68))) % 1.12/1.35 (assume @p726 (forall @t231 (tptp.hBOOL (tptp.hAPP @t683 @t68)))) % 1.12/1.35 (assume @p727 (forall (@list @t225 @t3 @t65) (tptp.c_Fun_Oinj__on @t225 @t79 @t3 @t65))) % 1.12/1.35 (assume @p728 (forall @t199 (or @t900 @t714))) % 1.12/1.35 (assume @p729 (forall @t199 (or @t900 @t684))) % 1.12/1.35 (assume @p730 (forall @t885 (= (tptp.c_Set_Ovimage @t225 @t901 @t3 @t65) (tptp.hAPP (tptp.hAPP @t72 (tptp.c_Set_Ovimage @t225 (tptp.c_Set_Oinsert @t2 @t765 @t65) @t3 @t65)) @t735)))) % 1.12/1.35 (assume @p731 (forall @t668 (or @t904 @t390 @t903))) % 1.12/1.35 (assume @p732 (forall @t779 (or @t905 @t694 @t77))) % 1.12/1.35 (assume @p733 (forall @t779 (or (not @t905) @t77 @t693))) % 1.12/1.35 (assume @p734 (forall @t908 (or (= @t906 @t68) (not @t907) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t906) @t68))) @t77))) % 1.12/1.35 (assume @p735 (forall @t908 (or @t907 (not (tptp.hBOOL (tptp.hAPP @t318 @t906))) @t77))) % 1.12/1.35 (assume @p736 (forall (@list @t3 @t2 @t139 @t540) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 (tptp.c_Set_Oinsert @t2 @t139 @t3)) (tptp.c_Set_Oinsert @t2 @t540 @t3))) (not (tptp.hBOOL (tptp.hAPP @t498 @t540)))))) % 1.12/1.35 (assume @p737 (forall (@list @t3 @t66 @t2) (tptp.hBOOL (tptp.hAPP @t385 @t660)))) % 1.12/1.35 (assume @p738 (forall @t664 (= (tptp.hAPP @t73 @t660) (tptp.c_Set_Oinsert @t2 @t74 @t3)))) % 1.12/1.35 (assume @p739 (forall @t662 (= (tptp.hAPP (tptp.hAPP @t72 @t660) @t139) (tptp.c_Set_Oinsert @t2 @t424 @t3)))) % 1.12/1.35 (assume @p740 (forall (@list @t3 @t68 @t8 @t66) (or (tptp.hBOOL (tptp.hAPP @t318 @t909)) @t390))) % 1.12/1.35 (assume @p741 (forall @t555 (or @t319 @t911))) % 1.12/1.35 (assume @p742 (forall (@list @t225 @t68 @t3 @t65 @t2) (or @t693 @t913))) % 1.12/1.35 (assume @p743 (forall @t736 (= (tptp.c_Set_Oimage @t225 @t806 @t65 @t3) (tptp.hAPP (tptp.hAPP @t72 @t674) @t708)))) % 1.12/1.35 (assume @p744 (forall (@list @t65 @t1 @t68 @t3 @t225) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t811 @t1) @t68))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 (tptp.c_Set_Oimage @t225 @t1 @t65 @t3)) @t674))))) % 1.12/1.35 (assume @p745 (forall @t812 (or @t914 @t390))) % 1.12/1.35 (assume @p746 (forall @t668 (or @t904 @t652 @t903))) % 1.12/1.35 (assume @p747 (forall @t668 (or @t902 @t652 @t915))) % 1.12/1.35 (assume @p748 (forall @t916 (or @t910 @t390 @t654))) % 1.12/1.35 (assume @p749 (forall @t916 (or (= @t918 @t217) @t654))) % 1.12/1.35 (assume @p750 (forall @t655 (or @t653 @t911))) % 1.12/1.35 (assume @p751 (forall @t668 (or @t904 @t390 @t651))) % 1.12/1.35 (assume @p752 (forall @t555 (or @t319 @t651 @t915))) % 1.12/1.35 (assume @p753 (forall @t555 (or @t319 @t915 @t651))) % 1.12/1.35 (assume @p754 (forall @t916 (or (= @t918 (tptp.c_Set_Oinsert @t1 @t217 @t3)) @t653))) % 1.12/1.35 (assume @p755 (forall @t795 (or (= @t826 @t375) @t651 @t77))) % 1.12/1.35 (assume @p756 (forall @t862 (or @t861 @t651 @t77 @t684 @t799))) % 1.12/1.35 (assume @p757 (forall (@list @t225 @t1 @t66 @t3 @t68 @t65) (or (tptp.hBOOL (tptp.c_in @t472 @t66 @t3)) @t843 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t674) @t66)))))) % 1.12/1.35 (assume @p758 (forall @t473 (tptp.hBOOL (tptp.c_in @t472 @t788 @t3)))) % 1.12/1.35 (assume @p759 (forall @t897 (or @t912 @t919 @t694))) % 1.12/1.35 (assume @p760 (forall (@list @t225 @t2 @t3 @t68 @t65) (or (not @t919) @t913))) % 1.12/1.35 (assume @p761 (forall (@list @t225 @t67 @t577 @t3 @t65) (= (tptp.c_Set_Oimage (tptp.c_COMBB @t225 @t67 @t577 @t3 @t65) @t787 @t65 @t3) (tptp.c_Set_Oimage @t225 (tptp.c_Set_Oimage @t67 @t787 @t65 @t577) @t577 @t3)))) % 1.12/1.35 (assume @p762 (forall @t664 (or @t921 @t894))) % 1.12/1.35 (assume @p763 (forall (@list @t3 @t68 @t66 @t2) (or @t893 (not @t921)))) % 1.12/1.35 (assume @p764 (forall (@list @t68 @t1 @t3) (or (= @t68 @t824) @t684 (not (tptp.hBOOL (tptp.hAPP @t318 @t824)))))) % 1.12/1.35 (assume @p765 (forall @t873 (tptp.hBOOL (tptp.hAPP @t824 @t922)))) % 1.12/1.35 (assume @p766 (forall @t732 (or @t12 (= (tptp.hAPP @t723 @t687) @t2)))) % 1.12/1.35 (assume @p767 (forall @t664 (= @t920 (tptp.hAPP (tptp.hAPP @t215 @t688) @t66)))) % 1.12/1.35 (assume @p768 (forall @t664 (= @t920 (tptp.hAPP @t923 @t687)))) % 1.12/1.35 (assume @p769 (forall @t389 (tptp.hBOOL (tptp.hAPP @t385 @t74)))) % 1.12/1.35 (assume @p770 (forall @t135 (or @t134 @t925))) % 1.12/1.35 (assume @p771 (forall @t135 (or @t134 @t926))) % 1.12/1.35 (assume @p772 (forall @t135 (or @t146 @t926))) % 1.12/1.35 (assume @p773 (forall @t135 (or @t146 @t925))) % 1.12/1.35 (assume @p774 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t72 @t74) @t139) @t927))) % 1.12/1.35 (assume @p775 (forall @t143 (= @t927 (tptp.hAPP @t423 @t510)))) % 1.12/1.35 (assume @p776 (forall (@list @t3 @t225 @t68 @t65 @t66) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 (tptp.hAPP (tptp.hAPP @t215 @t674) @t708)) (tptp.c_Set_Oimage @t225 @t928 @t65 @t3))))) % 1.12/1.35 (assume @p777 (forall (@list @t3 @t930 @t929) (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 (tptp.hAPP @t722 @t930)) (tptp.hAPP @t722 @t929))) @t933 @t932 @t931))) % 1.12/1.35 (assume @p778 (forall (@list @t3 @t1 @t563 @t562) (or @t328 (not (= @t934 @t565)) (= @t563 @t562)))) % 1.12/1.35 (assume @p779 (forall (@list @t3 @t700 @t25 @t1) (or @t328 (not (= (tptp.hAPP (tptp.hAPP @t40 @t700) @t25) @t934)) (= @t700 @t25)))) % 1.12/1.35 (assume @p780 (forall @t199 (= (tptp.hAPP @t923 @t66) @t217))) % 1.12/1.35 (assume @p781 (forall (@list @t297 @t3 @t65 @t574) (= (tptp.hAPP (tptp.c_COMBK @t297 @t3 @t65) @t574) @t297))) % 1.12/1.35 (assume @p782 (forall @t228 (or @t146 (= (tptp.hAPP @t261 @t1) @t1)))) % 1.12/1.35 (assume @p783 (forall @t231 (= (tptp.hAPP @t73 @t68) @t68))) % 1.12/1.35 (assume @p784 (forall (@list @t935 @t634 @t65 @t3) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t935 @t634 @t65 @t3) @t65) (not (tptp.c_Fun_Oinj__on @t935 @t787 @t65 @t3)) @t636))) % 1.12/1.35 (assume @p785 (forall @t532 (or @t531 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t505) @t225) @t67) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65) @t530) @t529))))) % 1.12/1.35 (assume @p786 (forall (@list @t3 @t68 @t66 @t65 @t225) (or @t319 (not @t914) @t721))) % 1.12/1.35 (assume @p787 (forall @t812 (or @t914 @t390 @t721))) % 1.12/1.35 (assume @p788 (forall @t784 (or (tptp.c_Fun_Oinj__on @t225 @t217 @t3 @t65) @t694))) % 1.12/1.35 (assume @p789 (forall @t736 (= (tptp.c_Set_Ovimage @t225 @t928 @t3 @t65) (tptp.hAPP (tptp.hAPP @t215 @t597) @t735)))) % 1.12/1.35 (assume @p790 (forall @t936 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t790) @t68)))) % 1.12/1.35 (assume @p791 (forall @t779 (or (= (tptp.c_Set_Ovimage @t225 @t717 @t3 @t65) @t68) @t721))) % 1.12/1.35 (assume @p792 (forall @t943 (or @t942 (= @t938 @t937)))) % 1.12/1.35 (assume @p793 (forall @t943 (or @t942 (= @t941 @t939)))) % 1.12/1.35 (assume @p794 (forall @t898 (= (tptp.c_Set_Ovimage @t225 @t787 @t3 @t65) @t229))) % 1.12/1.35 (assume @p795 (forall @t228 (or @t198 (= (tptp.hAPP @t261 @t196) @t196)))) % 1.12/1.35 (assume @p796 (forall @t228 (or @t198 (= (tptp.hAPP (tptp.hAPP @t145 @t196) @t1) @t196)))) % 1.12/1.35 (assume @p797 (forall @t230 (= (tptp.hAPP (tptp.hAPP @t72 @t229) @t66) @t229))) % 1.12/1.35 (assume @p798 (forall @t231 (= (tptp.hAPP @t73 @t229) @t229))) % 1.12/1.35 (assume @p799 (forall @t804 (or @t944 @t803 @t266))) % 1.12/1.35 (assume @p800 (forall @t282 (or @t238 @t945 @t274 @t272))) % 1.12/1.35 (assume @p801 (forall @t671 (or @t238 @t273 @t392 @t946))) % 1.12/1.35 (assume @p802 (forall @t672 (or @t238 @t271 @t392 @t946))) % 1.12/1.35 (assume @p803 (forall @t951 (or (= (tptp.hAPP (tptp.hAPP @t284 @t950) @t45) @t949) @t799))) % 1.12/1.35 (assume @p804 (forall @t951 (or (= @t949 (tptp.hAPP @t947 (tptp.hAPP @t948 @t45))) @t799))) % 1.12/1.35 (assume @p805 (forall (@list @t284 @t2 @t8 @t3) (or (= @t950 (tptp.hAPP @t947 @t2)) @t799))) % 1.12/1.35 (assume @p806 (forall @t282 (or @t238 @t945 @t391))) % 1.12/1.35 (assume @p807 (forall @t729 (or @t881 @t721 @t33))) % 1.12/1.35 (assume @p808 (forall (@list @t66 @t1 @t68 @t3) (or @t552 @t550 (not @t952)))) % 1.12/1.35 (assume @p809 (forall @t555 (or @t952 @t553))) % 1.12/1.35 (assume @p810 (forall @t555 (or @t952 @t551))) % 1.12/1.35 (assume @p811 (forall @t804 (or @t944 @t721 @t266))) % 1.12/1.35 (assume @p812 (forall @t542 (or (tptp.hBOOL (tptp.hAPP @t816 (tptp.hAPP @t953 @t540))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t540) @t66))) @t539))) % 1.12/1.35 (assume @p813 (forall @t96 (or @t445 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t229 @t3) @t396)))) % 1.12/1.35 (assume @p814 (forall @t228 (tptp.hBOOL (tptp.hAPP @t229 @t1)))) % 1.12/1.35 (assume @p815 (forall @t954 (or (not (tptp.class_Orderings_Otop @t65)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t505) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t65))))) % 1.12/1.35 (assume @p816 (forall @t620 (or @t266 @t387 @t390))) % 1.12/1.35 (assume @p817 (forall @t245 (or @t238 @t33 @t378 @t241))) % 1.12/1.35 (assume @p818 (forall @t245 (or @t238 @t33 @t241 @t378))) % 1.12/1.35 (assume @p819 (forall @t245 (or @t146 (= @t307 @t1) @t378))) % 1.12/1.35 (assume @p820 (forall @t245 (or @t146 (not @t955) @t240))) % 1.12/1.35 (assume @p821 (forall @t245 (or @t146 @t955 @t241))) % 1.12/1.35 (assume @p822 (forall @t199 (or @t956 @t390))) % 1.12/1.35 (assume @p823 (forall @t199 (or (= @t74 @t68) @t387))) % 1.12/1.35 (assume @p824 (forall @t199 (or (not @t956) @t319))) % 1.12/1.35 (assume @p825 (forall (@list @t3 @t929 @t930) (or @t12 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 (tptp.hAPP @t723 @t929)) (tptp.hAPP @t723 @t930))) @t933 @t932 @t931))) % 1.12/1.35 (assume @p826 (forall @t795 (or @t445 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t444) @t1)) @t652))) % 1.12/1.35 (assume @p827 (forall (@list @t68 @t3 @t66 @t65 @t67 @t225) (or (= @t375 @t839) @t838 @t77 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 (tptp.c_Set_Oimage @t67 @t66 @t65 @t3)) @t68))) (not (tptp.c_Fun_Oinj__on @t67 @t66 @t65 @t3)) @t836 @t694))) % 1.12/1.35 (assume @p828 (forall @t183 (or @t238 @t957 @t391))) % 1.12/1.35 (assume @p829 (forall @t183 (or @t238 (not @t957) @t392))) % 1.12/1.35 (assume @p830 (forall @t231 (= (tptp.hAPP @t216 @t229) @t79))) % 1.12/1.35 (assume @p831 (forall @t542 (or (tptp.hBOOL (tptp.hAPP @t821 (tptp.hAPP @t512 @t540))) @t541 @t539))) % 1.12/1.35 (assume @p832 (forall @t231 (tptp.hBOOL (tptp.hAPP @t318 @t229)))) % 1.12/1.35 (assume @p833 (forall @t228 (or (not (tptp.class_Orderings_Otop @t3)) (tptp.hBOOL (tptp.hAPP @t14 @t196))))) % 1.12/1.35 (assume @p834 (forall @t958 (not (= @t940 tptp.c_Com_Ocom_OSKIP)))) % 1.12/1.35 (assume @p835 (forall @t96 (or @t445 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t79 @t3) @t196)))) % 1.12/1.35 (assume @p836 (forall @t94 (or @t146 @t93 @t959))) % 1.12/1.35 (assume @p837 (forall @t103 (or @t146 @t91 @t959))) % 1.12/1.35 (assume @p838 (forall @t20 (or @t146 @t960 @t111))) % 1.12/1.35 (assume @p839 (forall @t20 (or @t146 @t960 @t115))) % 1.12/1.35 (assume @p840 (forall @t120 (or @t146 @t119 @t961))) % 1.12/1.35 (assume @p841 (forall @t121 (or @t146 @t6 @t961))) % 1.12/1.35 (assume @p842 (forall @t232 (or @t538 @t962))) % 1.12/1.35 (assume @p843 (forall @t425 (or @t534 @t962))) % 1.12/1.35 (assume @p844 (forall @t108 (or @t238 @t109 @t106 @t378))) % 1.12/1.35 (assume @p845 (forall @t103 (or @t244 @t91 @t336 @t241))) % 1.12/1.35 (assume @p846 (forall @t228 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t317 @t1) @t1)))) % 1.12/1.35 (assume @p847 (forall @t231 (tptp.hBOOL (tptp.hAPP @t318 @t68)))) % 1.12/1.35 (assume @p848 (forall @t232 (or @t538 @t535 @t390))) % 1.12/1.35 (assume @p849 (forall @t804 (or @t693 @t390 @t834))) % 1.12/1.35 (assume @p850 (forall (@list @t574 @t1 @t297 @t3) (or @t965 @t964 @t963))) % 1.12/1.35 (assume @p851 (forall @t228 (or @t238 @t578))) % 1.12/1.35 (assume @p852 (forall @t228 (or @t244 @t578))) % 1.12/1.35 (assume @p853 (forall (@list @t574 @t1 @t3 @t297) (or @t965 @t963 @t964))) % 1.12/1.35 (assume @p854 (forall @t183 (or @t238 @t697 @t391))) % 1.12/1.35 (assume @p855 (forall @t183 (or @t238 (not @t697) @t392))) % 1.12/1.35 (assume @p856 (forall @t783 (or @t815 @t535 @t539 @t780))) % 1.12/1.35 (assume @p857 (forall (@list @t68 @t225 @t1 @t3 @t65) (or @t967 (not @t966)))) % 1.12/1.35 (assume @p858 (forall (@list @t225 @t68 @t3 @t65 @t1) (or @t966 (not @t967)))) % 1.12/1.35 (assume @p859 (forall @t779 (or @t905 @t694))) % 1.12/1.35 (assume @p860 (forall @t889 (or (= @t888 @t229) (not @t886)))) % 1.12/1.35 (assume @p861 (forall @t425 (or (= (tptp.hAPP @t543 (tptp.hAPP @t953 @t68)) @t68) @t535 @t390))) % 1.12/1.35 (assume @p862 (forall @t568 (or @t181 @t567 @t968 @t378))) % 1.12/1.35 (assume @p863 (forall @t568 (or @t181 @t567 @t242 (not @t968)))) % 1.12/1.35 (assume @p864 (forall @t958 (not (= tptp.c_Com_Ocom_OSKIP @t940)))) % 1.12/1.35 (assume @p865 (forall @t289 (or @t12 @t242 @t240))) % 1.12/1.35 (assume @p866 (forall (@list @t25 @t1 @t3) (or (= @t25 @t922) (not (tptp.hBOOL (tptp.hAPP @t824 @t25)))))) % 1.12/1.35 (assume @p867 (forall (@list @t225 @t3 @t2) (= (tptp.hAPP (tptp.c_Finite__Set_Ofold1 @t225 @t3) @t687) @t2))) % 1.12/1.35 (assume @p868 (forall @t732 (or @t12 (= (tptp.hAPP @t722 @t687) @t2)))) % 1.12/1.35 (assume @p869 (forall @t970 (= @t969 @t632))) % 1.12/1.35 (assume @p870 (forall @t732 (or @t238 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t2 @t2 @t3) @t687)))) % 1.12/1.35 (assume @p871 (forall @t971 (= @t632 (tptp.hAPP (tptp.hAPP @t72 @t687) @t68)))) % 1.12/1.35 (assume @p872 (forall @t732 (or @t445 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t687 @t3) @t2)))) % 1.12/1.35 (assume @p873 (forall (@list @t68 @t65 @t225 @t3) (or @t859 (not (tptp.c_Fun_Oinj__on @t225 @t68 @t65 @t3)) (not (tptp.c_Finite__Set_Ofinite @t674 @t3))))) % 1.12/1.35 (assume @p874 (forall (@list @t66 @t65 @t225 @t68 @t3) (or @t837 @t874 @t77))) % 1.12/1.35 (assume @p875 (forall (@list @t45 @t3 @t65) (= (tptp.c_Set_Oimage @t972 @t765 @t65 @t3) @t79))) % 1.12/1.35 (assume @p876 (forall @t979 (or @t857 (tptp.hBOOL (tptp.hAPP @t978 @t977)) (not (tptp.hBOOL (tptp.hAPP @t976 @t974))) @t973))) % 1.12/1.35 (assume @p877 (forall (@list @t760 @t297 @t45 @t574 @t980 @t975 @t981) (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t980 @t975) @t985)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t981 @t975) @t984))) @t983))) % 1.12/1.35 (assume @p878 (forall @t979 (or @t857 (tptp.hBOOL (tptp.hAPP @t978 @t987)) (not (tptp.hBOOL (tptp.hAPP @t976 @t986))) @t973))) % 1.12/1.35 (assume @p879 (forall @t858 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t988) @t986))))) % 1.12/1.35 (assume @p880 (forall @t989 (or @t857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t574 @t988) @t987))) @t973))) % 1.12/1.35 (assume @p881 (forall @t858 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t990) @t974))))) % 1.12/1.35 (assume @p882 (forall @t994 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t980 @t993) @t992)) @t991))) % 1.12/1.35 (assume @p883 (forall @t996 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t995) @t984)) @t983))) % 1.12/1.35 (assume @p884 (forall @t1000 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t999) @t998)) @t997))) % 1.12/1.35 (assume @p885 (forall @t989 (or @t857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t574 @t990) @t977))) @t973))) % 1.12/1.35 (assume @p886 (forall @t1000 (or @t857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t981 @t999) @t998))) @t997))) % 1.12/1.35 (assume @p887 (forall @t996 (or @t857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t574 @t995) @t985))) @t983))) % 1.12/1.35 (assume @p888 (forall @t994 (or @t857 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t574 @t993) @t992))) @t991))) % 1.12/1.35 (assume @p889 (forall @t858 (or @t857 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t297 @t853) @t854))))) % 1.12/1.35 (assume @p890 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 1.12/1.35 (assume @p891 (forall @t231 (or @t12 (tptp.hBOOL (tptp.c_in @t793 @t68 @t3)) @t684 @t77))) % 1.12/1.35 (assume @p892 (forall @t231 (or @t12 (tptp.hBOOL (tptp.c_in @t797 @t68 @t3)) @t684 @t77))) % 1.12/1.35 (assume @p893 (forall @t840 (or (= @t775 @t375) @t652 @t77))) % 1.12/1.35 (assume @p894 (forall @t970 (or (= @t969 @t68) @t612))) % 1.12/1.35 (assume @p895 (forall (@list @t225 @t2 @t8 @t65 @t3) (or (= @t637 @t8) (not (tptp.hBOOL (tptp.c_in @t2 (tptp.c_Set_Ovimage @t225 (tptp.c_Set_Oinsert @t8 @t765 @t65) @t3 @t65) @t3)))))) % 1.12/1.35 (assume @p896 (forall (@list @t2 @t225 @t3 @t475) (tptp.hBOOL (tptp.c_in @t2 (tptp.c_Set_Ovimage @t225 (tptp.c_Set_Oinsert @t637 @t79 @t3) @t475 @t3) @t475)))) % 1.12/1.35 (assume @p897 (forall (@list @t1 @t700 @t65 @t284 @t3) (or (not (= (tptp.c_Set_Oinsert @t1 @t700 @t65) @t765)) (tptp.hBOOL (tptp.c_in @t1 @t700 @t65)) @t799))) % 1.12/1.35 (assume @p898 (forall @t842 (or (= (tptp.hAPP @t917 @t824) @t68) @t651))) % 1.12/1.35 (assume @p899 (forall (@list @t225 @t67 @t3 @t577 @t65) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.c_COMBB @t225 @t67 @t3 @t577 @t65) @t787 @t65 @t577) @t577) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t67 @t787 @t65 @t3) @t3))))) % 1.12/1.35 (assume @p900 (forall (@list @t45 @t3 @t65 @t68) (or (= (tptp.c_Set_Oimage @t972 @t68 @t65 @t3) (tptp.c_Set_Oinsert @t45 @t79 @t3)) @t1001))) % 1.12/1.35 (assume @p901 (= (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP tptp.v_P @t1002))) % 1.12/1.35 (assume @p902 (= (tptp.hAPP (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP @t800 @t1002))) % 1.12/1.35 (assume @p903 (forall (@list @t45 @t65 @t3 @t68 @t1) (or (= (tptp.c_Set_Oimage @t887 @t68 @t3 @t65) (tptp.c_Set_Oinsert @t45 @t765 @t65)) @t652))) % 1.12/1.35 (assume @p904 (forall (@list @t760 @t3 @t297) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t1006 tptp.c_Com_Ocom_OSKIP) @t297) @t1004 @t1003) @t3))) % 1.12/1.35 (assume @p905 (forall (@list @t760 @t3 @t297 @t45 @t38 @t575 @t574) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t1006 (tptp.c_Com_Ocom_OSemi @t45 @t38)) @t575) @t1004 @t1003) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t1005 @t574) @t38) @t575) @t1004 @t1003) @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t1006 @t45) @t574) @t1004 @t1003) @t3))))) % 1.12/1.35 (assume @p906 (forall (@list @t760 @t877 @t1008 @t3) (or @t1010 (not @t1009) (not @t1007)))) % 1.12/1.35 (assume @p907 (forall (@list @t760 @t1008 @t3 @t877) (or @t1009 @t1011))) % 1.12/1.35 (assume @p908 (forall @t873 (tptp.hBOOL (tptp.c_in @t1 @t824 @t3)))) % 1.12/1.35 (assume @p909 (forall @t791 (or (not (= @t674 @t79)) @t1001))) % 1.12/1.35 (assume @p910 (forall (@list @t2 @t8 @t68 @t3) (or @t1012 @t612))) % 1.12/1.35 (assume @p911 (forall (@list @t2 @t8 @t66 @t3) (or (tptp.hBOOL (tptp.c_in @t2 @t909 @t3)) (not (tptp.hBOOL (tptp.c_in @t2 @t66 @t3)))))) % 1.12/1.35 (assume @p912 (forall (@list @t225 @t67 @t68 @t577 @t65 @t3) (= (tptp.c_Set_Oimage @t225 (tptp.c_Set_Oimage @t67 @t68 @t577 @t65) @t65 @t3) (tptp.c_Set_Oimage (tptp.c_COMBB @t225 @t67 @t65 @t3 @t577) @t68 @t577 @t3)))) % 1.12/1.35 (assume @p913 (forall @t840 (tptp.hBOOL (tptp.hAPP @t658 @t1)))) % 1.12/1.35 (assume @p914 (forall @t885 (= (tptp.c_Set_Oimage @t225 @t901 @t65 @t3) (tptp.c_Set_Oinsert @t637 @t708 @t3)))) % 1.12/1.35 (assume @p915 (forall (@list @t760 @t1008 @t3 @t1013) (or @t1009 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 @t1013 @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t1013 @t1008 @t3))))) % 1.12/1.35 (assume @p916 (forall @t873 @t1014)) % 1.12/1.35 (assume @p917 (forall @t1015 (or @t869 @t1014))) % 1.12/1.35 (assume @p918 (forall (@list @t45 @t3) (not (tptp.hBOOL (tptp.c_in @t45 @t79 @t3))))) % 1.12/1.35 (assume @p919 (forall (@list @t2 @t3) (not (tptp.hBOOL (tptp.c_in @t2 @t79 @t3))))) % 1.12/1.35 (assume @p920 (forall @t650 (not (= @t79 @t632)))) % 1.12/1.35 (assume @p921 (forall @t1023 (or @t1022 (= @t1017 @t1016)))) % 1.12/1.35 (assume @p922 (forall @t1023 (or @t1022 (= @t1020 @t1018)))) % 1.12/1.35 (assume @p923 (forall @t1023 (or @t1022 (= @t1021 @t1019)))) % 1.12/1.35 (assume @p924 (= (tptp.hAPP @t1024 tptp.v_x) (tptp.c_in tptp.v_x @t1024 tptp.t_a))) % 1.12/1.35 (assume @p925 (forall @t1027 (or @t1026 @t600 @t1025))) % 1.12/1.35 (assume @p926 (forall @t1027 (or @t1026 @t1028 @t1025))) % 1.12/1.35 (assume @p927 (forall @t1027 (or @t1026 @t600 @t97))) % 1.12/1.35 (assume @p928 (forall @t1027 (or @t1026 @t1028 @t97))) % 1.12/1.35 (assume @p929 (forall (@list @t935 @t634 @t3 @t65) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t935 @t634 @t3 @t65) @t65) @t636))) % 1.12/1.35 (assume @p930 (forall (@list @t2 @t68 @t3 @t8) (or @t611 @t160 (not @t1012)))) % 1.12/1.35 (assume @p931 (forall @t228 (not (tptp.hBOOL (tptp.hAPP @t79 @t1))))) % 1.12/1.35 (assume @p932 (forall (@list @t760 @t3) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t760 @t1004 @t3))) % 1.12/1.35 (assume @p933 (forall @t96 (tptp.c_Finite__Set_Ofinite @t79 @t3))) % 1.12/1.35 (assume @p934 (forall @t971 (or @t1029 @t77))) % 1.12/1.35 (assume @p935 (forall (@list @t68 @t3 @t2) (or @t76 (not @t1029)))) % 1.12/1.35 (assume @p936 (forall (@list @t68 @t1 @t25 @t3) (or @t550 (= @t25 @t1) (not @t1031)))) % 1.12/1.35 (assume @p937 (forall @t840 (= (tptp.c_Set_Oinsert @t1 @t658 @t3) @t658))) % 1.12/1.35 (assume @p938 (forall @t971 (not (= @t632 @t79)))) % 1.12/1.35 (assume @p939 (forall @t936 (or (not (= @t79 @t674)) @t1001))) % 1.12/1.35 (assume @p940 (forall @t954 (or (not (tptp.class_Orderings_Obot @t65)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t505) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t65))))) % 1.12/1.35 (assume @p941 (forall (@list @t8 @t2 @t3) (or (= @t8 @t2) (not (tptp.hBOOL (tptp.c_in @t8 @t687 @t3)))))) % 1.12/1.35 (assume @p942 (forall @t840 (tptp.hBOOL (tptp.c_in @t1 @t658 @t3)))) % 1.12/1.35 (assume @p943 (forall (@list @t2 @t66 @t3) (tptp.hBOOL (tptp.c_in @t2 @t660 @t3)))) % 1.12/1.35 (assume @p944 (forall (@list @t1 @t66 @t3) (tptp.hBOOL (tptp.c_in @t1 @t665 @t3)))) % 1.12/1.35 (assume @p945 (forall (@list @t1 @t25 @t68 @t3) (= (tptp.c_Set_Oinsert @t1 @t1030 @t3) (tptp.c_Set_Oinsert @t25 @t658 @t3)))) % 1.12/1.35 (assume @p946 (forall (@list @t1 @t1032 @t3) (or @t1034 (not @t1033)))) % 1.12/1.35 (assume @p947 (forall (@list @t1032 @t1 @t3) (or @t1033 (not @t1034)))) % 1.12/1.35 (assume @p948 (forall (@list @t297 @t574 @t65 @t3 @t577 @t575) (= (tptp.hAPP (tptp.c_COMBB @t297 @t574 @t65 @t3 @t577) @t575) (tptp.hAPP @t297 @t1035)))) % 1.12/1.35 (assume @p949 (forall (@list @t297 @t574 @t65 @t577 @t3 @t575) (= (tptp.hAPP (tptp.c_COMBS @t297 @t574 @t65 @t577 @t3) @t575) (tptp.hAPP @t576 @t1035)))) % 1.12/1.35 (assume @p950 (forall (@list @t700 @t1 @t3) (= (tptp.c_Set_Oinsert @t700 @t824 @t3) (tptp.c_Set_Oinsert @t1 (tptp.c_Set_Oinsert @t700 @t79 @t3) @t3)))) % 1.12/1.35 (assume @p951 (forall @t898 (= @t1036 @t79))) % 1.12/1.35 (assume @p952 (forall (@list @t2 @t3 @t8) (or (not (= @t687 @t785)) @t160))) % 1.12/1.35 (assume @p953 (forall @t1015 (or @t964 @t1014))) % 1.12/1.35 (assume @p954 (forall (@list @t1 @t700 @t3) (or (not (= (tptp.c_Set_Oinsert @t1 @t700 @t3) @t79)) (tptp.hBOOL (tptp.c_in @t1 @t700 @t3))))) % 1.12/1.35 (assume @p955 (forall (@list @t760 @t877 @t3 @t1008) (or @t1007 @t1011))) % 1.12/1.35 (assume @p956 (forall (@list @t25 @t68 @t3 @t1) (or @t1031 @t551))) % 1.12/1.35 (assume @p957 (forall @t1037 (or (= (tptp.c_Set_Oinsert @t472 @t717 @t65) @t717) @t652))) % 1.12/1.35 (assume @p958 (forall (@list @t1 @t68 @t3 @t66) (or (not (= @t658 @t665)) @t653 @t651 @t266))) % 1.12/1.35 (assume @p959 (forall @t971 (or (= @t632 @t68) @t612))) % 1.12/1.35 (assume @p960 (forall (@list @t3 @t225 @t65) (= @t79 @t1036))) % 1.12/1.35 (assume @p961 (forall @t231 (or @t890 @t76))) % 1.12/1.35 (assume @p962 (forall (@list @t1 @t68 @t475 @t225 @t3) (or @t696 (tptp.hBOOL (tptp.c_in @t472 (tptp.c_Set_Oimage @t225 @t68 @t475 @t3) @t3))))) % 1.12/1.35 (assume @p963 (forall (@list @t1 @t68 @t65 @t225 @t3) (or @t843 @t1038))) % 1.12/1.35 (assume @p964 (forall (@list @t225 @t1 @t68 @t65 @t3) (or @t1038 @t843))) % 1.12/1.35 (assume @p965 (forall @t1037 (or (tptp.hBOOL (tptp.c_in @t472 @t717 @t65)) @t652))) % 1.12/1.35 (assume @p966 (tptp.c_Finite__Set_Ofinite tptp.v_F tptp.t_a)) % 1.12/1.35 (assume @p967 (not (tptp.hBOOL (tptp.c_in tptp.v_x tptp.v_F tptp.t_a)))) % 1.12/1.35 (assume @p968 @t1043) % 1.12/1.35 (assume @p969 @t1047) % 1.12/1.35 (assume @p970 (not @t1048)) % 1.12/1.35 (assume @p971 @t1051) % 1.12/1.35 (assume @p972 (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oimage (tptp.c_COMBS (tptp.c_COMBS (tptp.c_COMBB @t1042 tptp.v_P @t1044 @t1046 tptp.t_a) tptp.v_c0 tptp.t_a tptp.tc_Com_Ocom @t1045) tptp.v_Q tptp.t_a @t1044 @t1039) tptp.v_F tptp.t_a @t1039) tptp.t_b) (not @t1047))) % 1.12/1.35 (assume @p973 (forall @t1055 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t1054) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1052))))) % 1.12/1.35 (assume @p974 (forall @t1055 (or (tptp.class_Lattices_Oupper__semilattice @t1054) @t1056))) % 1.12/1.35 (assume @p975 (forall @t1055 (or (tptp.class_Lattices_Olower__semilattice @t1054) @t1056))) % 1.12/1.35 (assume @p976 (forall @t1055 (or (tptp.class_Lattices_Odistrib__lattice @t1054) (not (tptp.class_Lattices_Odistrib__lattice @t1052))))) % 1.12/1.35 (assume @p977 (forall @t1055 (or (tptp.class_Lattices_Obounded__lattice @t1054) (not (tptp.class_Lattices_Obounded__lattice @t1052))))) % 1.12/1.35 (assume @p978 (forall @t1055 (or (tptp.class_Lattices_Oboolean__algebra @t1054) (not (tptp.class_Lattices_Oboolean__algebra @t1052))))) % 1.12/1.35 (assume @p979 (forall @t1055 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t1054) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1052)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t1053))))) % 1.12/1.35 (assume @p980 (forall @t1055 (or (tptp.class_Orderings_Opreorder @t1054) (not (tptp.class_Orderings_Opreorder @t1052))))) % 1.12/1.35 (assume @p981 (forall @t1055 (or (tptp.class_Lattices_Olattice @t1054) @t1056))) % 1.12/1.35 (assume @p982 (forall @t1055 (or (tptp.class_Orderings_Oorder @t1054) (not (tptp.class_Orderings_Oorder @t1052))))) % 1.12/1.35 (assume @p983 (forall @t1055 (or (tptp.class_Orderings_Otop @t1054) (not (tptp.class_Orderings_Otop @t1052))))) % 1.12/1.35 (assume @p984 (forall @t1055 (or (tptp.class_Orderings_Obot @t1054) (not (tptp.class_Orderings_Obot @t1052))))) % 1.12/1.35 (assume @p985 (forall @t1055 (or (tptp.class_HOL_Ouminus @t1054) (not (tptp.class_HOL_Ouminus @t1052))))) % 1.12/1.35 (assume @p986 (forall @t1055 (or (tptp.class_HOL_Ominus @t1054) (not (tptp.class_HOL_Ominus @t1052))))) % 1.12/1.35 (assume @p987 (forall @t1055 (or (tptp.class_HOL_Oord @t1054) (not (tptp.class_HOL_Oord @t1052))))) % 1.12/1.35 (assume @p988 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.12/1.35 (assume @p989 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.12/1.35 (assume @p990 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.12/1.35 (assume @p991 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.12/1.35 (assume @p992 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.12/1.35 (assume @p993 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.12/1.35 (assume @p994 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.12/1.35 (assume @p995 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.12/1.35 (assume @p996 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.12/1.35 (assume @p997 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.12/1.35 (assume @p998 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 1.12/1.35 (assume @p999 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 1.12/1.35 (assume @p1000 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.12/1.35 (assume @p1001 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 1.12/1.35 (assume @p1002 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.12/1.35 (assume @p1003 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.12/1.35 (assume @p1004 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.12/1.35 (assume @p1005 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 1.12/1.35 (assume @p1006 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.12/1.35 (assume @p1007 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.12/1.35 (assume @p1008 (tptp.class_HOL_Ominus tptp.tc_nat)) % 1.12/1.35 (assume @p1009 (tptp.class_HOL_Oord tptp.tc_nat)) % 1.12/1.35 (assume @p1010 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 1.12/1.35 (assume @p1011 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 1.12/1.35 (assume @p1012 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 1.12/1.35 (assume @p1013 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 1.12/1.35 (assume @p1014 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 1.12/1.35 (assume @p1015 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 1.12/1.35 (assume @p1016 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 1.12/1.35 (assume @p1017 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.12/1.35 (assume @p1018 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 1.12/1.35 (assume @p1019 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.12/1.35 (assume @p1020 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.12/1.35 (assume @p1021 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.12/1.35 (assume @p1022 (tptp.class_HOL_Ouminus tptp.tc_bool)) % 1.12/1.35 (assume @p1023 (tptp.class_HOL_Ominus tptp.tc_bool)) % 1.12/1.35 (assume @p1024 (tptp.class_HOL_Oord tptp.tc_bool)) % 1.12/1.35 (assume @p1025 (forall @t228 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1057 @t1) @t1)))) % 1.12/1.35 (assume @p1026 (forall (@list @t1059 @t1058 @t3) (or (= @t1059 @t1058) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t1057 @t1059) @t1058)))))) % 1.12/1.35 (step @p1027 :rule cnf_or_pos :args (@t1061)) % 1.12/1.35 (step @p1028 :rule reordering :premises (@p1027) :args ((or @t1048 @t1060 @t1062))) % 1.12/1.35 (step @p1029 :rule chain_m_resolution :premises (@p1028 @p970 @p968) :args (@t1062 @t1063 (@list @t1048 @t1043))) % 1.12/1.35 (assume-push @p1036 @t1051) % 1.12/1.35 (step @p1031 :rule instantiate :premises (@p971) :args ((@list tptp.v_x))) % 1.12/1.35 (step-pop @p1037 :rule scope :premises (@p1031)) % 1.12/1.35 (step @p1032 :rule process_scope :premises (@p1037) :args (@t1061)) % 1.12/1.35 (step @p1034 :rule implies_elim :premises (@p1032)) % 1.12/1.35 (step @p1035 false :rule chain_m_resolution :premises (@p1034 @p1029 @p971) :args (false @t1063 (@list @t1061 @t1051))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------