%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV856-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:02:30 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.97s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV856-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 21:16:41 EDT 2026 % 0.18/0.34 % CPUTime : % 0.38/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.97 % SZS status Unsatisfiable % 0.52/0.97 % SZS output start Proof % 0.52/0.99 ( % 0.52/0.99 (declare-sort $$unsorted 0) % 0.52/0.99 (declare-const tptp.v_xa $$unsorted) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Hoare__Mirabelle_Otriple__valid (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Ofold (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_OrderedGroup_Oab__semigroup__mult (-> $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.tc_bool $$unsorted) % 0.52/0.99 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__valids (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Ofold__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.tc_nat $$unsorted) % 0.52/0.99 (declare-const tptp.c_Wellfounded_Omax__extp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Map_Orestrict__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.v_Ga $$unsorted) % 0.52/0.99 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.t_a $$unsorted) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.v_x $$unsorted) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.c_ATP__Linkup_Osko__Set__Xequals0I__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.99 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.52/0.99 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.99 (define @t1 () (@var "T_b" $$unsorted)) % 0.52/0.99 (define @t2 () (@var "T_a" $$unsorted)) % 0.52/0.99 (define @t3 () (tptp.tc_fun @t2 tptp.tc_bool)) % 0.52/0.99 (define @t4 () (tptp.c_Orderings_Otop__class_Otop @t3)) % 0.52/0.99 (define @t5 () (@var "V_f" $$unsorted)) % 0.52/0.99 (define @t6 () (not (tptp.c_Fun_Oinj__on @t5 @t4 @t2 @t1))) % 0.52/0.99 (define @t7 () (@var "V_B" $$unsorted)) % 0.52/0.99 (define @t8 () (@var "V_A" $$unsorted)) % 0.52/0.99 (define @t9 () (tptp.c_lessequals @t8 @t7 @t3)) % 0.52/0.99 (define @t10 () (not @t9)) % 0.52/0.99 (define @t11 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.52/0.99 (define @t12 () (tptp.c_Set_Oimage @t5 @t7 @t2 @t1)) % 0.52/0.99 (define @t13 () (tptp.c_Set_Oimage @t5 @t8 @t2 @t1)) % 0.52/0.99 (define @t14 () (tptp.c_lessequals @t13 @t12 @t11)) % 0.52/0.99 (define @t15 () (@list @t5 @t8 @t2 @t1 @t7)) % 0.52/0.99 (define @t16 () (@var "V_a" $$unsorted)) % 0.52/0.99 (define @t17 () (tptp.c_Set_Oinsert @t16 @t8 @t2)) % 0.52/0.99 (define @t18 () (tptp.c_Fun_Oinj__on @t5 @t17 @t2 @t1)) % 0.52/0.99 (define @t19 () (not @t18)) % 0.52/0.99 (define @t20 () (tptp.c_Fun_Oinj__on @t5 @t8 @t2 @t1)) % 0.52/0.99 (define @t21 () (@var "V_i" $$unsorted)) % 0.52/0.99 (define @t22 () (tptp.c_in @t2)) % 0.52/0.99 (define @t23 () (@var "V_M" $$unsorted)) % 0.52/0.99 (define @t24 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1))) % 0.52/0.99 (define @t25 () (tptp.hAPP @t22 @t16)) % 0.52/0.99 (define @t26 () (tptp.hBOOL (tptp.hAPP @t25 @t8))) % 0.52/0.99 (define @t27 () (not @t26)) % 0.52/0.99 (define @t28 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t7 @t2 @t11)) % 0.52/0.99 (define @t29 () (tptp.hAPP @t7 @t16)) % 0.52/0.99 (define @t30 () (@var "V_x" $$unsorted)) % 0.52/0.99 (define @t31 () (tptp.hAPP @t22 @t30)) % 0.52/0.99 (define @t32 () (tptp.hBOOL (tptp.hAPP @t31 @t7))) % 0.52/0.99 (define @t33 () (not @t32)) % 0.52/0.99 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t3)) % 0.52/0.99 (define @t35 () (tptp.c_Set_Oinsert @t30 @t8 @t2)) % 0.52/0.99 (define @t36 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t7 @t3)) % 0.52/0.99 (define @t37 () (@list @t30 @t8 @t2 @t7)) % 0.52/0.99 (define @t38 () (tptp.c_lessequals @t35 @t7 @t3)) % 0.52/0.99 (define @t39 () (not @t38)) % 0.52/0.99 (define @t40 () (@list @t8 @t7 @t2 @t30)) % 0.52/0.99 (define @t41 () (@var "V_b" $$unsorted)) % 0.52/0.99 (define @t42 () (tptp.c_Set_Oinsert @t41 @t7 @t2)) % 0.52/0.99 (define @t43 () (@var "V_top" $$unsorted)) % 0.52/0.99 (define @t44 () (@var "V_bot" $$unsorted)) % 0.52/0.99 (define @t45 () (@var "V_sup" $$unsorted)) % 0.52/0.99 (define @t46 () (@var "V_inf" $$unsorted)) % 0.52/0.99 (define @t47 () (@var "V_less" $$unsorted)) % 0.52/0.99 (define @t48 () (@var "V_less__eq" $$unsorted)) % 0.52/0.99 (define @t49 () (@var "V_Sup" $$unsorted)) % 0.52/0.99 (define @t50 () (@var "V_Inf" $$unsorted)) % 0.52/0.99 (define @t51 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t50 @t49 @t48 @t47 @t46 @t45 @t44 @t43 @t2))) % 0.52/0.99 (define @t52 () (tptp.c_Set_Oinsert @t30 @t7 @t2)) % 0.52/0.99 (define @t53 () (tptp.c_HOL_Oord__class_Oless @t8 @t52 @t3)) % 0.52/0.99 (define @t54 () (not @t53)) % 0.52/0.99 (define @t55 () (tptp.hBOOL (tptp.hAPP @t31 @t8))) % 0.52/0.99 (define @t56 () (not @t55)) % 0.52/0.99 (define @t57 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 0.52/0.99 (define @t58 () (tptp.c_Set_Oinsert @t30 @t57 @t2)) % 0.52/0.99 (define @t59 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t58 @t3)) % 0.52/0.99 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t59 @t7 @t3)) % 0.52/0.99 (define @t61 () (@list @t8 @t30 @t2 @t7)) % 0.52/0.99 (define @t62 () (not @t60)) % 0.52/0.99 (define @t63 () (@list @t8 @t30 @t7 @t2)) % 0.52/0.99 (define @t64 () (@var "V_times" $$unsorted)) % 0.52/0.99 (define @t65 () (not (tptp.c_OrderedGroup_Oab__semigroup__mult @t64 @t2))) % 0.52/0.99 (define @t66 () (tptp.c_Finite__Set_Ofinite @t8 @t1)) % 0.52/0.99 (define @t67 () (not @t66)) % 0.52/0.99 (define @t68 () (@var "T_c" $$unsorted)) % 0.52/0.99 (define @t69 () (@var "V_h" $$unsorted)) % 0.52/0.99 (define @t70 () (@var "V_z" $$unsorted)) % 0.52/0.99 (define @t71 () (@var "V_g" $$unsorted)) % 0.52/0.99 (define @t72 () (tptp.c_Finite__Set_Ofinite @t8 @t2)) % 0.52/0.99 (define @t73 () (not @t72)) % 0.52/0.99 (define @t74 () (tptp.c_Finite__Set_Ofinite @t34 @t2)) % 0.52/0.99 (define @t75 () (@list @t8 @t7 @t2)) % 0.52/0.99 (define @t76 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2)) % 0.52/0.99 (define @t77 () (tptp.c_Finite__Set_Ofold @t76 @t41 @t8 @t2 @t2)) % 0.52/0.99 (define @t78 () (tptp.hAPP @t76 @t16)) % 0.52/0.99 (define @t79 () (tptp.hAPP @t78 @t41)) % 0.52/0.99 (define @t80 () (not (tptp.class_Lattices_Oupper__semilattice @t2))) % 0.52/0.99 (define @t81 () (@list @t2 @t16 @t41 @t8)) % 0.52/0.99 (define @t82 () (not @t20)) % 0.52/0.99 (define @t83 () (@list @t5 @t8 @t7 @t2 @t1)) % 0.52/0.99 (define @t84 () (@var "V_C" $$unsorted)) % 0.52/0.99 (define @t85 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 0.52/0.99 (define @t86 () (tptp.hAPP @t85 @t7)) % 0.52/0.99 (define @t87 () (tptp.hAPP @t86 @t84)) % 0.52/0.99 (define @t88 () (tptp.c_Set_Oinsert @t16 @t7 @t2)) % 0.52/0.99 (define @t89 () (@list @t2 @t16 @t7 @t84)) % 0.52/0.99 (define @t90 () (tptp.hAPP @t85 @t8)) % 0.52/0.99 (define @t91 () (tptp.hAPP @t90 @t7)) % 0.52/0.99 (define @t92 () (@list @t2 @t8 @t16 @t7)) % 0.52/0.99 (define @t93 () (tptp.c_Set_Ovimage @t5 @t7 @t2 @t1)) % 0.52/0.99 (define @t94 () (tptp.c_Set_Ovimage @t5 @t8 @t2 @t1)) % 0.52/0.99 (define @t95 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t11)) % 0.52/0.99 (define @t96 () (tptp.c_HOL_Oord__class_Oless @t8 @t7 @t3)) % 0.52/0.99 (define @t97 () (not @t96)) % 0.52/0.99 (define @t98 () (tptp.c_Set_Ovimage @t5 @t8 @t1 @t2)) % 0.52/0.99 (define @t99 () (tptp.c_Set_Oimage @t5 @t98 @t1 @t2)) % 0.52/0.99 (define @t100 () (@list @t5 @t8 @t1 @t2)) % 0.52/0.99 (define @t101 () (@var "V_P" $$unsorted)) % 0.52/0.99 (define @t102 () (tptp.c_Collect @t101 @t2)) % 0.52/0.99 (define @t103 () (tptp.c_Set_Oinsert @t16 @t57 @t2)) % 0.52/0.99 (define @t104 () (= @t16 @t41)) % 0.52/0.99 (define @t105 () (tptp.c_Orderings_Otop__class_Otop @t11)) % 0.52/0.99 (define @t106 () (@list @t5 @t1 @t2)) % 0.52/0.99 (define @t107 () (tptp.c_Complete__Lattice_OSup__class_OSup @t8 @t2)) % 0.52/0.99 (define @t108 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t2))) % 0.52/0.99 (define @t109 () (@list @t2 @t16 @t8)) % 0.52/0.99 (define @t110 () (tptp.c_Orderings_Otop__class_Otop @t2)) % 0.52/0.99 (define @t111 () (tptp.hAPP @t76 @t30)) % 0.52/0.99 (define @t112 () (not (tptp.class_Lattices_Obounded__lattice @t2))) % 0.52/0.99 (define @t113 () (@list @t2 @t30)) % 0.52/0.99 (define @t114 () (@list @t2 @t7)) % 0.52/0.99 (define @t115 () (@list @t2 @t8)) % 0.52/0.99 (define @t116 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t88 @t3)) % 0.52/0.99 (define @t117 () (@list @t8 @t16 @t7 @t2)) % 0.52/0.99 (define @t118 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t103 @t3)) % 0.52/0.99 (define @t119 () (not (tptp.c_Finite__Set_Ofinite @t7 @t2))) % 0.52/0.99 (define @t120 () (not @t74)) % 0.52/0.99 (define @t121 () (@list @t8 @t2 @t7)) % 0.52/0.99 (define @t122 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 0.52/0.99 (define @t123 () (tptp.hAPP @t122 @t8)) % 0.52/0.99 (define @t124 () (tptp.hAPP @t123 @t7)) % 0.52/0.99 (define @t125 () (tptp.c_Set_Oinsert @t16 @t124 @t2)) % 0.52/0.99 (define @t126 () (@list @t30 @t8 @t2)) % 0.52/0.99 (define @t127 () (tptp.hAPP @t7 @t30)) % 0.52/0.99 (define @t128 () (@var "V_y" $$unsorted)) % 0.52/0.99 (define @t129 () (tptp.c_Set_Oinsert @t128 @t8 @t2)) % 0.52/0.99 (define @t130 () (tptp.hBOOL (tptp.hAPP @t129 @t30))) % 0.52/0.99 (define @t131 () (tptp.hAPP @t8 @t30)) % 0.52/0.99 (define @t132 () (tptp.hBOOL @t131)) % 0.52/0.99 (define @t133 () (= @t8 @t7)) % 0.52/0.99 (define @t134 () (tptp.c_Fun_Oinj__on @t5 @t91 @t2 @t1)) % 0.52/0.99 (define @t135 () (not @t134)) % 0.52/0.99 (define @t136 () (not (= @t13 @t12))) % 0.52/0.99 (define @t137 () (= @t8 @t57)) % 0.52/0.99 (define @t138 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2 @t8 @t2)) % 0.52/0.99 (define @t139 () (tptp.c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1 @t8 @t2)) % 0.52/0.99 (define @t140 () (@list @t8 @t2)) % 0.52/0.99 (define @t141 () (@var "V_I" $$unsorted)) % 0.52/0.99 (define @t142 () (tptp.c_in @t1)) % 0.52/0.99 (define @t143 () (tptp.hAPP @t142 @t30)) % 0.52/0.99 (define @t144 () (@var "V_c" $$unsorted)) % 0.52/0.99 (define @t145 () (tptp.c_Finite__Set_Ofinite @t17 @t2)) % 0.52/0.99 (define @t146 () (@list @t16 @t8 @t2)) % 0.52/0.99 (define @t147 () (@var "V_k" $$unsorted)) % 0.52/0.99 (define @t148 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t141 @t8 @t2 @t11)) % 0.52/0.99 (define @t149 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t11)) % 0.52/0.99 (define @t150 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t7 @t1 @t3)) % 0.52/0.99 (define @t151 () (= @t150 @t57)) % 0.52/0.99 (define @t152 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__2__1 @t8 @t7 @t1 @t2)) % 0.52/0.99 (define @t153 () (@list @t7 @t8 @t1 @t2)) % 0.52/0.99 (define @t154 () (tptp.hAPP @t5 @t30)) % 0.52/0.99 (define @t155 () (tptp.hAPP @t154 @t128)) % 0.52/0.99 (define @t156 () (@list @t5 @t70 @t8 @t30 @t128 @t2 @t1)) % 0.52/0.99 (define @t157 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t11)) % 0.52/0.99 (define @t158 () (= (tptp.c_Set_Oimage @t5 @t124 @t2 @t1) (tptp.hAPP (tptp.hAPP @t157 @t13) @t12))) % 0.52/0.99 (define @t159 () (tptp.hAPP @t45 @t16)) % 0.52/0.99 (define @t160 () (tptp.c_Set_Oinsert @t41 @t57 @t2)) % 0.52/0.99 (define @t161 () (tptp.c_Set_Oinsert @t16 @t160 @t2)) % 0.52/0.99 (define @t162 () (tptp.hAPP @t46 @t16)) % 0.52/0.99 (define @t163 () (tptp.c_Set_Oimage @t5 @t7 @t1 @t2)) % 0.52/0.99 (define @t164 () (tptp.c_Set_Oimage @t5 @t8 @t1 @t2)) % 0.52/0.99 (define @t165 () (tptp.hAPP (tptp.hAPP @t157 @t8) @t7)) % 0.52/0.99 (define @t166 () (@list @t5 @t1 @t8 @t7 @t2)) % 0.52/0.99 (define @t167 () (@var "V_F" $$unsorted)) % 0.52/0.99 (define @t168 () (tptp.c_Finite__Set_Ofinite @t167 @t2)) % 0.52/0.99 (define @t169 () (not @t168)) % 0.52/0.99 (define @t170 () (@var "V_G" $$unsorted)) % 0.52/0.99 (define @t171 () (tptp.c_Finite__Set_Ofinite @t170 @t2)) % 0.52/0.99 (define @t172 () (not @t171)) % 0.52/0.99 (define @t173 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t85 @t167) @t170) @t2)) % 0.52/0.99 (define @t174 () (@list @t2 @t167 @t170)) % 0.52/0.99 (define @t175 () (@var "V_R" $$unsorted)) % 0.52/0.99 (define @t176 () (tptp.c_Relation_OImage @t175 @t7 @t1 @t2)) % 0.52/0.99 (define @t177 () (tptp.c_Relation_OImage @t175 @t8 @t1 @t2)) % 0.52/0.99 (define @t178 () (@list @t175 @t1 @t8 @t7 @t2)) % 0.52/0.99 (define @t179 () (tptp.c_lessequals @t84 @t8 @t3)) % 0.52/0.99 (define @t180 () (tptp.hAPP @t123 @t87)) % 0.52/0.99 (define @t181 () (tptp.hAPP @t85 @t124)) % 0.52/0.99 (define @t182 () (= (tptp.hAPP @t181 @t84) @t180)) % 0.52/0.99 (define @t183 () (@list @t2 @t8 @t7 @t84)) % 0.52/0.99 (define @t184 () (not @t179)) % 0.52/0.99 (define @t185 () (tptp.c_Option_Ooption_ONone @t1)) % 0.52/0.99 (define @t186 () (@var "V_m" $$unsorted)) % 0.52/0.99 (define @t187 () (tptp.c_Map_Orestrict__map @t186 @t8 @t2 @t1)) % 0.52/0.99 (define @t188 () (tptp.hAPP @t187 @t30)) % 0.52/0.99 (define @t189 () (@list @t186 @t8 @t2 @t1 @t30)) % 0.52/0.99 (define @t190 () (tptp.c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__2 @t8 @t7 @t2)) % 0.52/0.99 (define @t191 () (tptp.c_ATP__Linkup_Osko__Set__Xdisjoint__iff__not__equal__1__1 @t8 @t7 @t2)) % 0.52/0.99 (define @t192 () (= @t124 @t57)) % 0.52/0.99 (define @t193 () (@list @t2 @t8 @t7)) % 0.52/0.99 (define @t194 () (tptp.hAPP @t71 @t30)) % 0.52/0.99 (define @t195 () (tptp.hAPP @t5 @t194)) % 0.52/0.99 (define @t196 () (tptp.hAPP (tptp.c_Fun_Ocomp @t5 @t71 @t1 @t2 @t68) @t30)) % 0.52/0.99 (define @t197 () (@var "V_v" $$unsorted)) % 0.52/0.99 (define @t198 () (tptp.c_Fun_Ocomp @t16 @t41 @t68 @t1 @t2)) % 0.52/0.99 (define @t199 () (tptp.hAPP @t16 (tptp.hAPP @t41 @t197))) % 0.52/0.99 (define @t200 () (tptp.hAPP @t5 @t16)) % 0.52/0.99 (define @t201 () (tptp.hAPP @t142 @t200)) % 0.52/0.99 (define @t202 () (tptp.hBOOL (tptp.hAPP @t201 @t13))) % 0.52/0.99 (define @t203 () (@list @t1 @t5 @t16 @t8 @t2)) % 0.52/0.99 (define @t204 () (= @t30 @t128)) % 0.52/0.99 (define @t205 () (@var "V_nat_H" $$unsorted)) % 0.52/0.99 (define @t206 () (@var "V_nat" $$unsorted)) % 0.52/0.99 (define @t207 () (tptp.hAPP @t64 @t41)) % 0.52/0.99 (define @t208 () (tptp.hAPP @t64 @t16)) % 0.52/0.99 (define @t209 () (tptp.hAPP @t208 (tptp.hAPP @t207 @t144))) % 0.52/0.99 (define @t210 () (tptp.hAPP @t208 @t41)) % 0.52/0.99 (define @t211 () (@list @t64 @t16 @t41 @t144 @t2)) % 0.52/0.99 (define @t212 () (not (= @t154 (tptp.hAPP @t5 @t128)))) % 0.52/0.99 (define @t213 () (tptp.hBOOL (tptp.hAPP @t91 @t30))) % 0.52/0.99 (define @t214 () (tptp.hBOOL @t127)) % 0.52/0.99 (define @t215 () (not @t214)) % 0.52/0.99 (define @t216 () (@list @t2 @t8 @t7 @t30)) % 0.52/0.99 (define @t217 () (not @t132)) % 0.52/0.99 (define @t218 () (tptp.c_lessequals @t59 @t7 @t3)) % 0.52/0.99 (define @t219 () (not @t218)) % 0.52/0.99 (define @t220 () (tptp.c_lessequals @t8 @t52 @t3)) % 0.52/0.99 (define @t221 () (not @t220)) % 0.52/0.99 (define @t222 () (not (tptp.c_Fun_Oinj__on @t5 @t84 @t2 @t1))) % 0.52/0.99 (define @t223 () (tptp.c_lessequals @t8 @t84 @t3)) % 0.52/0.99 (define @t224 () (not @t223)) % 0.52/0.99 (define @t225 () (tptp.c_lessequals @t7 @t84 @t3)) % 0.52/0.99 (define @t226 () (not @t225)) % 0.52/0.99 (define @t227 () (not (tptp.c_lessequals @t7 @t13 @t11))) % 0.52/0.99 (define @t228 () (not (tptp.hBOOL (tptp.hAPP @t143 @t8)))) % 0.52/0.99 (define @t229 () (tptp.hAPP @t22 @t154)) % 0.52/0.99 (define @t230 () (tptp.c_Orderings_Obot__class_Obot @t11)) % 0.52/0.99 (define @t231 () (tptp.c_COMBK @t144 @t1 @t2)) % 0.52/0.99 (define @t232 () (not @t192)) % 0.52/0.99 (define @t233 () (tptp.hAPP @t71 tptp.v_x)) % 0.52/0.99 (define @t234 () (tptp.hAPP @t5 tptp.v_x)) % 0.52/0.99 (define @t235 () (tptp.tc_fun tptp.t_a @t1)) % 0.52/0.99 (define @t236 () (not (tptp.class_Lattices_Olattice @t1))) % 0.52/0.99 (define @t237 () (@list @t1 @t5 @t71)) % 0.52/0.99 (define @t238 () (tptp.c_Fun_Ocomp @t71 @t5 @t68 @t1 @t2)) % 0.52/0.99 (define @t239 () (tptp.hAPP @t122 @t84)) % 0.52/0.99 (define @t240 () (tptp.hAPP @t239 @t8)) % 0.52/0.99 (define @t241 () (tptp.hAPP @t122 @t7)) % 0.52/0.99 (define @t242 () (tptp.hAPP @t241 @t8)) % 0.52/0.99 (define @t243 () (@list @t2 @t7 @t84 @t8)) % 0.52/0.99 (define @t244 () (tptp.hAPP @t123 @t84)) % 0.52/0.99 (define @t245 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2)) % 0.52/0.99 (define @t246 () (tptp.hAPP @t245 @t30)) % 0.52/0.99 (define @t247 () (tptp.hAPP @t246 @t70)) % 0.52/0.99 (define @t248 () (tptp.hAPP @t246 @t128)) % 0.52/0.99 (define @t249 () (tptp.hAPP (tptp.hAPP @t76 @t248) @t247)) % 0.52/0.99 (define @t250 () (tptp.hAPP @t76 @t128)) % 0.52/0.99 (define @t251 () (tptp.hAPP @t250 @t70)) % 0.52/0.99 (define @t252 () (tptp.hAPP @t246 @t251)) % 0.52/0.99 (define @t253 () (not (tptp.class_Lattices_Odistrib__lattice @t2))) % 0.52/0.99 (define @t254 () (@list @t2 @t30 @t128 @t70)) % 0.52/0.99 (define @t255 () (tptp.hAPP @t245 @t128)) % 0.52/0.99 (define @t256 () (tptp.hAPP @t255 @t30)) % 0.52/0.99 (define @t257 () (@list @t2 @t128 @t70 @t30)) % 0.52/0.99 (define @t258 () (tptp.hBOOL (tptp.hAPP @t31 (tptp.hAPP @t123 @t102)))) % 0.52/0.99 (define @t259 () (not @t258)) % 0.52/0.99 (define @t260 () (tptp.hBOOL (tptp.hAPP @t101 @t30))) % 0.52/0.99 (define @t261 () (tptp.c_Fun_Oid @t2)) % 0.52/0.99 (define @t262 () (@list @t5 @t2 @t1)) % 0.52/0.99 (define @t263 () (tptp.c_Fun_Oid @t1)) % 0.52/0.99 (define @t264 () (tptp.c_HOL_Oord__class_Oless @t30 @t128 @t2)) % 0.52/0.99 (define @t265 () (not @t264)) % 0.52/0.99 (define @t266 () (not (tptp.c_HOL_Oord__class_Oless @t128 @t70 @t2))) % 0.52/0.99 (define @t267 () (tptp.c_HOL_Oord__class_Oless @t30 @t70 @t2)) % 0.52/0.99 (define @t268 () (not (tptp.class_Orderings_Opreorder @t2))) % 0.52/0.99 (define @t269 () (@list @t2 @t30 @t70 @t128)) % 0.52/0.99 (define @t270 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t84 @t3))) % 0.52/0.99 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t8 @t84 @t3)) % 0.52/0.99 (define @t272 () (@list @t8 @t84 @t2 @t7)) % 0.52/0.99 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t128 @t30 @t2)) % 0.52/0.99 (define @t274 () (not @t273)) % 0.52/0.99 (define @t275 () (not (tptp.c_HOL_Oord__class_Oless @t70 @t128 @t2))) % 0.52/0.99 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t70 @t30 @t2)) % 0.52/0.99 (define @t277 () (not (tptp.class_Orderings_Oorder @t2))) % 0.52/0.99 (define @t278 () (@list @t2 @t70 @t30 @t128)) % 0.52/0.99 (define @t279 () (tptp.hAPP (tptp.hAPP @t149 @t8) @t7)) % 0.52/0.99 (define @t280 () (tptp.hBOOL (tptp.hAPP @t201 (tptp.c_Set_Oimage @t5 @t118 @t2 @t1)))) % 0.52/0.99 (define @t281 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t230 @t7 @t1 @t3)) % 0.52/0.99 (define @t282 () (@var "V_Q" $$unsorted)) % 0.52/0.99 (define @t283 () (tptp.c_Fun_Oinj__on @t5 @t7 @t2 @t1)) % 0.52/0.99 (define @t284 () (not @t283)) % 0.52/0.99 (define @t285 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t8 @t3)) % 0.52/0.99 (define @t286 () (tptp.c_Set_Oimage @t5 @t34 @t2 @t1)) % 0.52/0.99 (define @t287 () (= (tptp.hAPP (tptp.hAPP @t157 @t286) (tptp.c_Set_Oimage @t5 @t285 @t2 @t1)) @t230)) % 0.52/0.99 (define @t288 () (@list @t1 @t5 @t8 @t7 @t2)) % 0.52/0.99 (define @t289 () (tptp.c_lessequals @t128 @t30 @t2)) % 0.52/0.99 (define @t290 () (not (tptp.class_Orderings_Olinorder @t2))) % 0.52/0.99 (define @t291 () (@list @t2 @t30 @t128)) % 0.52/0.99 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t30 @t30 @t2)) % 0.52/0.99 (define @t293 () (not @t292)) % 0.52/0.99 (define @t294 () (tptp.c_lessequals @t30 @t30 @t2)) % 0.52/0.99 (define @t295 () (not @t289)) % 0.52/0.99 (define @t296 () (@list @t2 @t128 @t30)) % 0.52/0.99 (define @t297 () (tptp.c_lessequals @t30 @t128 @t2)) % 0.52/0.99 (define @t298 () (not @t297)) % 0.52/0.99 (define @t299 () (tptp.tc_fun @t2 @t1)) % 0.52/0.99 (define @t300 () (tptp.c_HOL_Oord__class_Oless @t5 @t71 @t299)) % 0.52/0.99 (define @t301 () (not @t300)) % 0.52/0.99 (define @t302 () (tptp.c_lessequals @t71 @t5 @t299)) % 0.52/0.99 (define @t303 () (not (tptp.class_HOL_Oord @t1))) % 0.52/0.99 (define @t304 () (tptp.c_Set_Oimage @t5 @t105 @t1 @t2)) % 0.52/0.99 (define @t305 () (tptp.c_Orderings_Obot__class_Obot @t2)) % 0.52/0.99 (define @t306 () (@var "V_xa" $$unsorted)) % 0.52/0.99 (define @t307 () (tptp.c_HOL_Ominus__class_Ominus @t30 @t30 @t2)) % 0.52/0.99 (define @t308 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 0.52/0.99 (define @t309 () (@var "V_y_H" $$unsorted)) % 0.52/0.99 (define @t310 () (@var "V_x_H" $$unsorted)) % 0.52/0.99 (define @t311 () (tptp.c_HOL_Ominus__class_Ominus @t310 @t309 @t2)) % 0.52/0.99 (define @t312 () (@var "V_N" $$unsorted)) % 0.52/0.99 (define @t313 () (not (tptp.c_lessequals @t23 @t312 @t3))) % 0.52/0.99 (define @t314 () (= @t23 @t57)) % 0.52/0.99 (define @t315 () (not (tptp.c_Finite__Set_Ofinite @t312 @t2))) % 0.52/0.99 (define @t316 () (@list @t2 @t16)) % 0.52/0.99 (define @t317 () (@list @t5 @t8 @t1 @t2 @t7)) % 0.52/0.99 (define @t318 () (tptp.hAPP @t90 @t84)) % 0.52/0.99 (define @t319 () (tptp.hAPP @t90 @t87)) % 0.52/0.99 (define @t320 () (tptp.hAPP @t111 @t251)) % 0.52/0.99 (define @t321 () (tptp.hAPP @t111 @t128)) % 0.52/0.99 (define @t322 () (= (tptp.hAPP (tptp.hAPP @t76 @t321) @t70) @t320)) % 0.52/0.99 (define @t323 () (tptp.hAPP @t111 @t70)) % 0.52/0.99 (define @t324 () (= @t320 (tptp.hAPP @t250 @t323))) % 0.52/0.99 (define @t325 () (not (tptp.class_Lattices_Olattice @t2))) % 0.52/0.99 (define @t326 () (not (tptp.c_lessequals @t7 @t8 @t3))) % 0.52/0.99 (define @t327 () (= @t248 @t30)) % 0.52/0.99 (define @t328 () (not (tptp.class_Lattices_Olower__semilattice @t2))) % 0.52/0.99 (define @t329 () (tptp.c_lessequals @t91 @t84 @t3)) % 0.52/0.99 (define @t330 () (tptp.c_lessequals @t16 @t30 @t2)) % 0.52/0.99 (define @t331 () (not @t330)) % 0.52/0.99 (define @t332 () (tptp.c_lessequals @t41 @t30 @t2)) % 0.52/0.99 (define @t333 () (not @t332)) % 0.52/0.99 (define @t334 () (tptp.c_lessequals @t79 @t30 @t2)) % 0.52/0.99 (define @t335 () (@list @t2 @t16 @t41 @t30)) % 0.52/0.99 (define @t336 () (tptp.c_lessequals @t30 @t321 @t2)) % 0.52/0.99 (define @t337 () (tptp.c_lessequals @t128 @t321 @t2)) % 0.52/0.99 (define @t338 () (tptp.c_lessequals @t70 @t30 @t2)) % 0.52/0.99 (define @t339 () (tptp.c_lessequals @t30 @t70 @t2)) % 0.52/0.99 (define @t340 () (not @t339)) % 0.52/0.99 (define @t341 () (tptp.c_lessequals @t128 @t70 @t2)) % 0.52/0.99 (define @t342 () (not @t341)) % 0.52/0.99 (define @t343 () (tptp.c_lessequals @t321 @t70 @t2)) % 0.52/0.99 (define @t344 () (= @t248 @t256)) % 0.52/0.99 (define @t345 () (tptp.hAPP @t90 @t285)) % 0.52/0.99 (define @t346 () (tptp.c_Set_Oinsert @t16 @t118 @t2)) % 0.52/0.99 (define @t347 () (tptp.hAPP @t85 @t84)) % 0.52/0.99 (define @t348 () (tptp.hAPP @t347 @t8)) % 0.52/0.99 (define @t349 () (tptp.hAPP @t122 @t91)) % 0.52/0.99 (define @t350 () (tptp.hAPP @t241 @t84)) % 0.52/0.99 (define @t351 () (tptp.c_COMBK @t144 @t2 @t1)) % 0.52/0.99 (define @t352 () (tptp.hAPP @t22 @t41)) % 0.52/0.99 (define @t353 () (tptp.hBOOL (tptp.hAPP @t352 @t8))) % 0.52/0.99 (define @t354 () (tptp.c_Set_Oinsert @t41 @t8 @t2)) % 0.52/0.99 (define @t355 () (= @t286 (tptp.c_HOL_Ominus__class_Ominus @t13 @t12 @t11))) % 0.52/0.99 (define @t356 () (@list @t2 @t30 @t7 @t8)) % 0.52/0.99 (define @t357 () (tptp.c_Set_Ovimage @t5 @t7 @t1 @t2)) % 0.52/1.00 (define @t358 () (tptp.hAPP @t123 @t88)) % 0.52/1.00 (define @t359 () (tptp.hBOOL (tptp.hAPP @t25 @t84))) % 0.52/1.00 (define @t360 () (tptp.hAPP (tptp.hAPP @t122 @t88) @t84)) % 0.52/1.00 (define @t361 () (tptp.hAPP @t86 @t8)) % 0.52/1.00 (define @t362 () (@list @t2 @t7 @t8)) % 0.52/1.00 (define @t363 () (tptp.c_Set_Oimage @t5 @t8 @t2 @t2)) % 0.52/1.00 (define @t364 () (tptp.c_Fun_Oinj__on @t5 @t8 @t2 @t2)) % 0.52/1.00 (define @t365 () (@list @t5 @t8 @t2)) % 0.52/1.00 (define @t366 () (= @t57 @t150)) % 0.52/1.00 (define @t367 () (tptp.c_ATP__Linkup_Osko__Complete__Lattice__XUNION__empty__conv__1__1 @t8 @t7 @t1 @t2)) % 0.52/1.00 (define @t368 () (tptp.hAPP @t255 @t70)) % 0.52/1.00 (define @t369 () (tptp.hAPP @t246 @t368)) % 0.52/1.00 (define @t370 () (= (tptp.hAPP (tptp.hAPP @t245 @t248) @t70) @t369)) % 0.52/1.00 (define @t371 () (= @t369 (tptp.hAPP @t255 @t247))) % 0.52/1.00 (define @t372 () (tptp.hAPP @t123 @t350)) % 0.52/1.00 (define @t373 () (not @t173)) % 0.52/1.00 (define @t374 () (not (= (tptp.hAPP (tptp.hAPP @t245 @t8) @t7) @t110))) % 0.52/1.00 (define @t375 () (tptp.c_HOL_Ominus__class_Ominus @t244 @t350 @t3)) % 0.52/1.00 (define @t376 () (tptp.hAPP @t122 @t34)) % 0.52/1.00 (define @t377 () (= @t8 @t230)) % 0.52/1.00 (define @t378 () (tptp.c_Finite__Set_Ofold @t245 @t41 @t8 @t2 @t2)) % 0.52/1.00 (define @t379 () (tptp.hAPP @t245 @t16)) % 0.52/1.00 (define @t380 () (@list @t2 @t41 @t16 @t8)) % 0.52/1.00 (define @t381 () (@var "V_D" $$unsorted)) % 0.52/1.00 (define @t382 () (tptp.hAPP (tptp.hAPP @t245 @t321) @t323)) % 0.52/1.00 (define @t383 () (tptp.hAPP @t111 @t368)) % 0.52/1.00 (define @t384 () (@list @t30 @t2)) % 0.52/1.00 (define @t385 () (tptp.c_lessequals @t5 @t71 @t299)) % 0.52/1.00 (define @t386 () (not @t385)) % 0.52/1.00 (define @t387 () (@list @t1 @t5 @t71 @t2)) % 0.52/1.00 (define @t388 () (@list @t1)) % 0.52/1.00 (define @t389 () (@var "V_S" $$unsorted)) % 0.52/1.00 (define @t390 () (tptp.c_COMBC @t22 @t2 @t3 tptp.tc_bool)) % 0.52/1.00 (define @t391 () (tptp.hAPP @t390 @t389)) % 0.52/1.00 (define @t392 () (tptp.hAPP @t390 @t175)) % 0.52/1.00 (define @t393 () (tptp.c_lessequals @t392 @t391 @t3)) % 0.52/1.00 (define @t394 () (tptp.c_lessequals @t175 @t389 @t3)) % 0.52/1.00 (define @t395 () (@list @t2 @t175 @t389)) % 0.52/1.00 (define @t396 () (tptp.hAPP @t379 @t41)) % 0.52/1.00 (define @t397 () (tptp.c_HOL_Oord__class_Oless @t396 @t30 @t2)) % 0.52/1.00 (define @t398 () (tptp.hAPP @t85 @t34)) % 0.52/1.00 (define @t399 () (= @t321 @t128)) % 0.52/1.00 (define @t400 () (= @t91 @t7)) % 0.52/1.00 (define @t401 () (tptp.c_Set_Oinsert @t16 @t8 @t1)) % 0.52/1.00 (define @t402 () (tptp.hAPP @t49 @t8)) % 0.52/1.00 (define @t403 () (tptp.hAPP @t50 @t8)) % 0.52/1.00 (define @t404 () (@var "V_ts" $$unsorted)) % 0.52/1.00 (define @t405 () (@var "V_G_H" $$unsorted)) % 0.52/1.00 (define @t406 () (tptp.c_Set_Oinsert @t16 @t7 @t1)) % 0.52/1.00 (define @t407 () (@list @t5 @t16 @t7 @t1 @t2)) % 0.52/1.00 (define @t408 () (not (tptp.c_lessequals @t7 @t381 @t3))) % 0.52/1.00 (define @t409 () (@list @t2 @t8 @t7 @t84 @t381)) % 0.52/1.00 (define @t410 () (tptp.c_lessequals @t248 @t30 @t2)) % 0.52/1.00 (define @t411 () (tptp.c_lessequals @t248 @t128 @t2)) % 0.52/1.00 (define @t412 () (tptp.c_lessequals @t30 @t368 @t2)) % 0.52/1.00 (define @t413 () (tptp.c_lessequals @t30 @t16 @t2)) % 0.52/1.00 (define @t414 () (not @t413)) % 0.52/1.00 (define @t415 () (tptp.c_lessequals @t30 @t41 @t2)) % 0.52/1.00 (define @t416 () (not @t415)) % 0.52/1.00 (define @t417 () (tptp.c_lessequals @t30 @t396 @t2)) % 0.52/1.00 (define @t418 () (@list @t2 @t30 @t16 @t41)) % 0.52/1.00 (define @t419 () (tptp.c_lessequals @t84 @t7 @t3)) % 0.52/1.00 (define @t420 () (tptp.c_lessequals @t84 @t124 @t3)) % 0.52/1.00 (define @t421 () (@var "T_d" $$unsorted)) % 0.52/1.00 (define @t422 () (tptp.hAPP @t250 @t30)) % 0.52/1.00 (define @t423 () (not @t420)) % 0.52/1.00 (define @t424 () (not @t417)) % 0.52/1.00 (define @t425 () (tptp.c_lessequals @t396 @t30 @t2)) % 0.52/1.00 (define @t426 () (not @t412)) % 0.52/1.00 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t84 @t3)) % 0.52/1.00 (define @t428 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t84 @t3)) % 0.52/1.00 (define @t429 () (tptp.c_fequal @t2)) % 0.52/1.00 (define @t430 () (tptp.c_Collect (tptp.hAPP (tptp.c_COMBC @t429 @t2 @t2 tptp.tc_bool) @t16) @t2)) % 0.52/1.00 (define @t431 () (= @t321 @t422)) % 0.52/1.00 (define @t432 () (@var "V_Y" $$unsorted)) % 0.52/1.00 (define @t433 () (= (tptp.hAPP @t111 @t321) @t321)) % 0.52/1.00 (define @t434 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t2))) % 0.52/1.00 (define @t435 () (@list @t2 @t30 @t8 @t101)) % 0.52/1.00 (define @t436 () (@list @t2 @t16 @t41)) % 0.52/1.00 (define @t437 () (tptp.hBOOL (tptp.hAPP @t124 @t30))) % 0.52/1.00 (define @t438 () (not @t437)) % 0.52/1.00 (define @t439 () (@list @t5 @t7 @t2 @t1 @t8)) % 0.52/1.00 (define @t440 () (@list @t2)) % 0.52/1.00 (define @t441 () (tptp.c_lessequals @t8 @t87 @t3)) % 0.52/1.00 (define @t442 () (tptp.c_lessequals @t34 @t84 @t3)) % 0.52/1.00 (define @t443 () (@list @t8 @t2 @t7 @t84)) % 0.52/1.00 (define @t444 () (@var "V_a2" $$unsorted)) % 0.52/1.00 (define @t445 () (@var "V_a1" $$unsorted)) % 0.52/1.00 (define @t446 () (not (tptp.c_Wellfounded_Omax__extp @t175 @t445 @t444 tptp.t_a))) % 0.52/1.00 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t30 @t79 @t2)) % 0.52/1.00 (define @t448 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t122 @t167) @t170) @t2)) % 0.52/1.00 (define @t449 () (tptp.hAPP @t22 @t144)) % 0.52/1.00 (define @t450 () (tptp.hBOOL (tptp.hAPP @t449 @t8))) % 0.52/1.00 (define @t451 () (not @t450)) % 0.52/1.00 (define @t452 () (tptp.hBOOL (tptp.hAPP @t449 @t7))) % 0.52/1.00 (define @t453 () (not @t452)) % 0.52/1.00 (define @t454 () (tptp.hBOOL (tptp.hAPP @t449 @t124))) % 0.52/1.00 (define @t455 () (@list @t2 @t144 @t8 @t7)) % 0.52/1.00 (define @t456 () (tptp.hBOOL (tptp.hAPP @t25 @t354))) % 0.52/1.00 (define @t457 () (@var "V_t" $$unsorted)) % 0.52/1.00 (define @t458 () (tptp.hAPP @t22 @t457)) % 0.52/1.00 (define @t459 () (@list @t2 @t144 @t7 @t8)) % 0.52/1.00 (define @t460 () (tptp.hBOOL (tptp.hAPP @t449 @t91))) % 0.52/1.00 (define @t461 () (tptp.hAPP @t71 @t16)) % 0.52/1.00 (define @t462 () (tptp.hAPP (tptp.c_Fun_Ooverride__on @t5 @t71 @t8 @t2 @t1) @t16)) % 0.52/1.00 (define @t463 () (@list @t5 @t71 @t8 @t2 @t1 @t16)) % 0.52/1.00 (define @t464 () (tptp.hBOOL (tptp.hAPP @t449 @t34))) % 0.52/1.00 (define @t465 () (not @t464)) % 0.52/1.00 (define @t466 () (@list @t2 @t30 @t8)) % 0.52/1.00 (define @t467 () (not @t454)) % 0.52/1.00 (define @t468 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t128) @t8)))) % 0.52/1.00 (define @t469 () (@list @t5 @t30 @t128 @t2 @t8 @t1)) % 0.52/1.00 (define @t470 () (tptp.hBOOL (tptp.hAPP @t101 @t16))) % 0.52/1.00 (define @t471 () (tptp.hBOOL (tptp.hAPP @t25 @t102))) % 0.52/1.00 (define @t472 () (tptp.hAPP @t142 @t41)) % 0.52/1.00 (define @t473 () (tptp.hBOOL (tptp.hAPP @t201 @t7))) % 0.52/1.00 (define @t474 () (tptp.hBOOL (tptp.hAPP @t25 @t93))) % 0.52/1.00 (define @t475 () (tptp.hAPP @t22 @t200)) % 0.52/1.00 (define @t476 () (tptp.hAPP @t142 @t16)) % 0.52/1.00 (define @t477 () (tptp.hBOOL (tptp.hAPP @t28 @t41))) % 0.52/1.00 (define @t478 () (@var "T_aa" $$unsorted)) % 0.52/1.00 (define @t479 () (tptp.c_in @t478)) % 0.52/1.00 (define @t480 () (= (tptp.hAPP @t246 @t248) @t248)) % 0.52/1.00 (define @t481 () (tptp.c_Finite__Set_Ofinite @t116 @t2)) % 0.52/1.00 (define @t482 () (@var "V_r" $$unsorted)) % 0.52/1.00 (define @t483 () (@var "V_n" $$unsorted)) % 0.52/1.00 (define @t484 () (tptp.c_Suc @t483)) % 0.52/1.00 (define @t485 () (@list @t483)) % 0.52/1.00 (define @t486 () (not @t343)) % 0.52/1.00 (define @t487 () (tptp.c_lessequals @t30 @t79 @t2)) % 0.52/1.00 (define @t488 () (not @t334)) % 0.52/1.00 (define @t489 () (not @t329)) % 0.52/1.00 (define @t490 () (not (tptp.c_lessequals @t70 @t128 @t2))) % 0.52/1.00 (define @t491 () (not (tptp.c_lessequals @t101 @t282 @t3))) % 0.52/1.00 (define @t492 () (not @t260)) % 0.52/1.00 (define @t493 () (tptp.hBOOL (tptp.hAPP @t282 @t30))) % 0.52/1.00 (define @t494 () (@list @t282 @t30 @t101 @t2)) % 0.52/1.00 (define @t495 () (@var "V_d" $$unsorted)) % 0.52/1.00 (define @t496 () (@var "T_e" $$unsorted)) % 0.52/1.00 (define @t497 () (@var "V_g_H" $$unsorted)) % 0.52/1.00 (define @t498 () (@var "V_f_H" $$unsorted)) % 0.52/1.00 (define @t499 () (tptp.hBOOL (tptp.hAPP @t94 @t30))) % 0.52/1.00 (define @t500 () (tptp.hBOOL (tptp.hAPP @t8 @t154))) % 0.52/1.00 (define @t501 () (tptp.c_Finite__Set_Olinorder__class_OMin @t8 @t2)) % 0.52/1.00 (define @t502 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t142 @t144) @t8))) % 0.52/1.00 (define @t503 () (tptp.c_Set_Ovimage @t231 @t8 @t2 @t1)) % 0.52/1.00 (define @t504 () (@list @t144 @t1 @t2 @t8)) % 0.52/1.00 (define @t505 () (tptp.c_lessequals @t309 @t310 @t2)) % 0.52/1.00 (define @t506 () (not (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t128 @t2) @t311))) % 0.52/1.00 (define @t507 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 0.52/1.00 (define @t508 () (@list @t2 @t30 @t128 @t310 @t309)) % 0.52/1.00 (define @t509 () (tptp.c_HOL_Oord__class_Oless @t310 @t309 @t2)) % 0.52/1.00 (define @t510 () (not (tptp.c_lessequals @t41 @t16 @t2))) % 0.52/1.00 (define @t511 () (tptp.c_HOL_Oord__class_Oless @t41 @t16 @t2)) % 0.52/1.00 (define @t512 () (@list @t2 @t41 @t16)) % 0.52/1.00 (define @t513 () (not (tptp.c_lessequals @t16 @t41 @t2))) % 0.52/1.00 (define @t514 () (tptp.c_HOL_Oord__class_Oless @t16 @t41 @t2)) % 0.52/1.00 (define @t515 () (tptp.c_Finite__Set_Olinorder__class_OMax @t8 @t2)) % 0.52/1.00 (define @t516 () (not @t511)) % 0.52/1.00 (define @t517 () (not @t514)) % 0.52/1.00 (define @t518 () (tptp.hBOOL (tptp.hAPP @t229 @t164))) % 0.52/1.00 (define @t519 () (not (= (tptp.hAPP (tptp.hAPP @t76 @t8) @t7) @t305))) % 0.52/1.00 (define @t520 () (tptp.hAPP @t85 @t57)) % 0.52/1.00 (define @t521 () (= @t41 @t495)) % 0.52/1.00 (define @t522 () (= @t41 @t144)) % 0.52/1.00 (define @t523 () (not (= @t161 (tptp.c_Set_Oinsert @t144 (tptp.c_Set_Oinsert @t495 @t57 @t2) @t2)))) % 0.52/1.00 (define @t524 () (@list @t16 @t41 @t2 @t144 @t495)) % 0.52/1.00 (define @t525 () (= @t16 @t495)) % 0.52/1.00 (define @t526 () (= @t16 @t144)) % 0.52/1.00 (define @t527 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.52/1.00 (define @t528 () (tptp.c_Orderings_Obot__class_Obot @t527)) % 0.52/1.00 (define @t529 () (tptp.c_Set_Oimage @t5 @t230 @t1 @t2)) % 0.52/1.00 (define @t530 () (@list @t5 @t70 @t2 @t1)) % 0.52/1.00 (define @t531 () (not (= @t91 @t57))) % 0.52/1.00 (define @t532 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t527)) % 0.52/1.00 (define @t533 () (tptp.c_in tptp.t_a)) % 0.52/1.00 (define @t534 () (tptp.hAPP @t533 tptp.v_x)) % 0.52/1.00 (define @t535 () (tptp.c_COMBC @t533 tptp.t_a @t527 tptp.tc_bool)) % 0.52/1.00 (define @t536 () (tptp.hAPP @t535 @t389)) % 0.52/1.00 (define @t537 () (tptp.hAPP @t535 @t175)) % 0.52/1.00 (define @t538 () (@list @t175 @t389)) % 0.52/1.00 (define @t539 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t527)) % 0.52/1.00 (define @t540 () (@list @t5 @t71 @t68 @t1)) % 0.52/1.00 (define @t541 () (tptp.c_Hoare__Mirabelle_Ohoare__valids @t170 @t404 tptp.t_a)) % 0.52/1.00 (define @t542 () (not @t541)) % 0.52/1.00 (define @t543 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__1 @t170 @t483)) % 0.52/1.00 (define @t544 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.52/1.00 (define @t545 () (tptp.c_in @t544)) % 0.52/1.00 (define @t546 () (@var "V_na" $$unsorted)) % 0.52/1.00 (define @t547 () (tptp.v_sko__Hoare__Mirabelle__Xtriples__valid__Suc__1 @t483 @t404)) % 0.52/1.00 (define @t548 () (tptp.hAPP @t545 @t30)) % 0.52/1.00 (define @t549 () (@var "V_nb" $$unsorted)) % 0.52/1.00 (define @t550 () (= @t127 @t57)) % 0.52/1.00 (define @t551 () (not (tptp.hBOOL (tptp.hAPP @t31 @t57)))) % 0.52/1.00 (define @t552 () (forall @t113 @t551)) % 0.52/1.00 (define @t553 () (@list @t101 @t30 @t2)) % 0.52/1.00 (define @t554 () (tptp.hBOOL (tptp.hAPP @t389 @t30))) % 0.52/1.00 (define @t555 () (tptp.hBOOL (tptp.hAPP @t31 @t389))) % 0.52/1.00 (define @t556 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 tptp.v_xa) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t544 tptp.tc_bool))))) % 0.52/1.00 (define @t557 () (@var "V_xb" $$unsorted)) % 0.52/1.00 (define @t558 () (@var "T_1" $$unsorted)) % 0.52/1.00 (define @t559 () (@var "T_2" $$unsorted)) % 0.52/1.00 (define @t560 () (tptp.tc_fun @t559 @t558)) % 0.52/1.00 (define @t561 () (@list @t559 @t558)) % 0.52/1.00 (define @t562 () (not (tptp.class_Lattices_Olattice @t558))) % 0.52/1.00 (define @t563 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t558))) % 0.52/1.00 (define @t564 () (@var "V_X" $$unsorted)) % 0.52/1.00 (assume @p1 (forall @t15 (or @t14 @t10 @t6))) % 0.52/1.00 (assume @p2 (forall (@list @t5 @t8 @t2 @t1 @t16) (or @t20 @t19))) % 0.52/1.00 (assume @p3 (forall (@list @t1 @t23 @t21 @t8 @t2) (or @t24 (tptp.c_lessequals (tptp.hAPP @t23 @t21) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t23 @t2 @t1) @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t21) @t8)))))) % 0.52/1.00 (assume @p4 (forall (@list @t7 @t16 @t8 @t2 @t1) (or (tptp.c_lessequals @t29 @t28 @t11) @t27))) % 0.52/1.00 (assume @p5 (forall @t37 (or (= @t36 @t34) @t33))) % 0.52/1.00 (assume @p6 (forall @t40 (or @t9 @t39))) % 0.52/1.00 (assume @p7 (forall (@list @t8 @t41 @t7 @t2) (or (tptp.c_lessequals @t8 @t42 @t3) @t10))) % 0.52/1.00 (assume @p8 (forall (@list @t5 @t16 @t8 @t2 @t30) (or (tptp.c_Finite__Set_Ofold1Set @t5 @t17 @t30 @t2) @t26 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t16 @t8 @t30 @t2 @t2))))) % 0.52/1.00 (assume @p9 (forall (@list @t49 @t2 @t43 @t50 @t48 @t47 @t46 @t45 @t44) (or (= (tptp.hAPP @t49 @t4) @t43) @t51))) % 0.52/1.00 (assume @p10 (forall (@list @t50 @t2 @t44 @t49 @t48 @t47 @t46 @t45 @t43) (or (= (tptp.hAPP @t50 @t4) @t44) @t51))) % 0.52/1.00 (assume @p11 (forall @t61 (or @t60 @t56 @t32 @t54))) % 0.52/1.00 (assume @p12 (forall @t63 (or @t53 @t56 @t62 @t32))) % 0.52/1.00 (assume @p13 (forall (@list @t64 @t71 @t70 @t69 @t8 @t1 @t68 @t2) (or (= (tptp.c_Finite__Set_Ofold__image @t64 @t71 @t70 (tptp.c_Set_Oimage @t69 @t8 @t1 @t68) @t2 @t68) (tptp.c_Finite__Set_Ofold__image @t64 (tptp.c_Fun_Ocomp @t71 @t69 @t68 @t2 @t1) @t70 @t8 @t2 @t1)) (not (tptp.c_Fun_Oinj__on @t69 @t8 @t1 @t68)) @t67 @t65))) % 0.52/1.00 (assume @p14 (forall @t75 (or @t74 @t73))) % 0.52/1.00 (assume @p15 (forall @t81 (or @t80 (tptp.c_lessequals @t79 @t77 @t2) @t27 @t73))) % 0.52/1.00 (assume @p16 (forall @t83 (or (tptp.c_Fun_Oinj__on @t5 @t34 @t2 @t1) @t82))) % 0.52/1.00 (assume @p17 (forall @t89 (= (tptp.hAPP (tptp.hAPP @t85 @t88) @t84) (tptp.c_Set_Oinsert @t16 @t87 @t2)))) % 0.52/1.00 (assume @p18 (forall @t92 (= (tptp.hAPP @t90 @t88) (tptp.c_Set_Oinsert @t16 @t91 @t2)))) % 0.52/1.00 (assume @p19 (forall (@list @t5 @t8 @t7 @t1 @t2) (= (tptp.c_Set_Ovimage @t5 @t95 @t2 @t1) (tptp.c_HOL_Ominus__class_Ominus @t94 @t93 @t3)))) % 0.52/1.00 (assume @p20 (forall @t63 (or @t53 @t56 @t62 @t97))) % 0.52/1.00 (assume @p21 (forall @t100 (tptp.c_lessequals @t99 @t8 @t3))) % 0.52/1.00 (assume @p22 (forall (@list @t5 @t8 @t2 @t1) (or (= (tptp.c_Set_Ovimage @t5 @t13 @t2 @t1) @t8) @t6))) % 0.52/1.00 (assume @p23 (forall (@list @t101 @t2) (= @t102 @t101))) % 0.52/1.00 (assume @p24 (forall (@list @t16 @t41 @t5 @t2) (or @t104 (not (tptp.c_Finite__Set_Ofold1Set @t5 @t103 @t41 @t2))))) % 0.52/1.00 (assume @p25 (forall @t106 (= (tptp.c_Set_Ovimage @t5 @t105 @t2 @t1) @t4))) % 0.52/1.00 (assume @p26 (forall @t109 (or @t108 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t17 @t2) (tptp.hAPP @t78 @t107))))) % 0.52/1.00 (assume @p27 (forall @t113 (or @t112 (= (tptp.hAPP @t111 @t110) @t110)))) % 0.52/1.00 (assume @p28 (forall @t113 (or @t112 (= (tptp.hAPP (tptp.hAPP @t76 @t110) @t30) @t110)))) % 0.52/1.00 (assume @p29 (forall @t114 (= (tptp.hAPP (tptp.hAPP @t85 @t4) @t7) @t4))) % 0.52/1.00 (assume @p30 (forall @t115 (= (tptp.hAPP @t90 @t4) @t4))) % 0.52/1.00 (assume @p31 (forall @t117 (= @t116 (tptp.c_HOL_Ominus__class_Ominus @t34 @t103 @t3)))) % 0.52/1.00 (assume @p32 (forall @t117 (= @t116 (tptp.c_HOL_Ominus__class_Ominus @t118 @t7 @t3)))) % 0.52/1.00 (assume @p33 (forall @t121 (or @t72 @t120 @t119))) % 0.52/1.00 (assume @p34 (forall @t75 (or @t74 @t73 @t119))) % 0.52/1.00 (assume @p35 (forall (@list @t2 @t16 @t8 @t7) (= (tptp.hAPP (tptp.hAPP @t122 @t17) @t88) @t125))) % 0.52/1.00 (assume @p36 (forall @t126 (= (tptp.c_Set_Oinsert @t30 @t35 @t2) @t35))) % 0.52/1.00 (assume @p37 (forall (@list @t7 @t30 @t1 @t2 @t8) (or (tptp.c_Finite__Set_Ofinite @t127 @t1) @t56 (not (tptp.c_Finite__Set_Ofinite @t28 @t1)) @t73))) % 0.52/1.00 (assume @p38 (forall (@list @t8 @t30 @t128 @t2) (or @t132 (= @t128 @t30) (not @t130)))) % 0.52/1.00 (assume @p39 (forall @t15 (or @t136 @t135 @t133))) % 0.52/1.00 (assume @p40 (forall @t140 (or (= @t8 (tptp.c_Set_Oinsert @t139 @t138 @t2)) @t137))) % 0.52/1.00 (assume @p41 (forall (@list @t8 @t30 @t7 @t2 @t1 @t141) (or (tptp.c_lessequals @t131 @t7 @t3) (not (tptp.hBOOL (tptp.hAPP @t143 @t141))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t141 @t8 @t1 @t3) @t7 @t3))))) % 0.52/1.00 (assume @p42 (forall (@list @t7 @t16 @t2) (tptp.c_lessequals @t7 @t88 @t3))) % 0.52/1.00 (assume @p43 (forall (@list @t144 @t1 @t68 @t5) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t144 @t1 @t68) @t5 @t68 @t1 tptp.t_a) tptp.v_x) @t144))) % 0.52/1.00 (assume @p44 (forall (@list @t8 @t2 @t16) (or @t72 (not @t145)))) % 0.52/1.00 (assume @p45 (forall @t146 (or @t145 @t73))) % 0.52/1.00 (assume @p46 (forall (@list @t1 @t8 @t147 @t141 @t2) (or (= (tptp.hAPP (tptp.hAPP @t149 (tptp.hAPP @t8 @t147)) @t148) @t148) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t147) @t141)))))) % 0.52/1.00 (assume @p47 (forall @t153 (or (not (= (tptp.hAPP @t7 @t152) @t57)) @t151))) % 0.52/1.00 (assume @p48 (forall @t156 (or (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t8 @t155 @t2 @t1) @t56 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t59 @t128 @t2 @t1))))) % 0.52/1.00 (assume @p49 (forall (@list @t5 @t2 @t8 @t7 @t1) (or @t158 @t6))) % 0.52/1.00 (assume @p50 (forall (@list @t49 @t16 @t41 @t2 @t45 @t50 @t48 @t47 @t46 @t44 @t43) (or (= (tptp.hAPP @t49 @t161) (tptp.hAPP @t159 @t41)) @t51))) % 0.52/1.00 (assume @p51 (forall (@list @t50 @t16 @t41 @t2 @t46 @t49 @t48 @t47 @t45 @t44 @t43) (or (= (tptp.hAPP @t50 @t161) (tptp.hAPP @t162 @t41)) @t51))) % 0.52/1.00 (assume @p52 (forall @t166 (tptp.c_lessequals (tptp.c_Set_Oimage @t5 @t165 @t1 @t2) (tptp.hAPP (tptp.hAPP @t122 @t164) @t163) @t3))) % 0.52/1.00 (assume @p53 (forall @t174 (or @t173 @t172 @t169))) % 0.52/1.00 (assume @p54 (forall @t178 (tptp.c_lessequals (tptp.c_Relation_OImage @t175 @t165 @t1 @t2) (tptp.hAPP (tptp.hAPP @t122 @t177) @t176) @t3))) % 0.52/1.00 (assume @p55 (forall @t183 (or (not @t182) @t179))) % 0.52/1.00 (assume @p56 (forall @t183 (or @t182 @t184))) % 0.52/1.00 (assume @p57 (forall @t189 (or (= @t188 @t185) @t55))) % 0.52/1.00 (assume @p58 (forall @t193 (or @t192 (= @t191 @t190)))) % 0.52/1.00 (assume @p59 (forall (@list @t5 @t71 @t1 @t2 @t68 @t30) (= @t196 @t195))) % 0.52/1.00 (assume @p60 (forall (@list @t16 @t41 @t197 @t68 @t1 @t2) (= @t199 (tptp.hAPP @t198 @t197)))) % 0.52/1.00 (assume @p61 (forall (@list @t2 @t16 @t8 @t1 @t5) (or @t26 (not @t202) @t6))) % 0.52/1.00 (assume @p62 (forall @t203 (or @t202 @t27 @t6))) % 0.52/1.00 (assume @p63 (forall (@list @t30 @t128) (or (not (= (tptp.c_Suc @t30) (tptp.c_Suc @t128))) @t204))) % 0.52/1.00 (assume @p64 (forall (@list @t206 @t205) (or (not (= (tptp.c_Suc @t206) (tptp.c_Suc @t205))) (= @t206 @t205)))) % 0.52/1.00 (assume @p65 (forall @t211 (or (= (tptp.hAPP (tptp.hAPP @t64 @t210) @t144) @t209) @t65))) % 0.52/1.00 (assume @p66 (forall @t211 (or (= @t209 (tptp.hAPP @t207 (tptp.hAPP @t208 @t144))) @t65))) % 0.52/1.00 (assume @p67 (forall (@list @t64 @t16 @t41 @t2) (or (= @t210 (tptp.hAPP @t207 @t16)) @t65))) % 0.52/1.00 (assume @p68 (forall (@list @t5 @t30 @t128 @t2 @t1) (or @t212 @t6 @t204))) % 0.52/1.00 (assume @p69 (forall (@list @t7 @t30 @t8 @t2) (or @t214 @t132 (not @t213)))) % 0.52/1.00 (assume @p70 (forall @t216 (or @t213 @t215))) % 0.52/1.00 (assume @p71 (forall @t216 (or @t213 @t217))) % 0.52/1.00 (assume @p72 (forall (@list @t8 @t7 @t2 @t5 @t1) (or @t9 (not @t14) @t6))) % 0.52/1.00 (assume @p73 (forall @t63 (or @t220 @t56 @t219))) % 0.52/1.00 (assume @p74 (forall @t61 (or @t218 @t56 @t221))) % 0.52/1.00 (assume @p75 (forall (@list @t5 @t2 @t8 @t7 @t1 @t84) (or @t158 @t226 @t224 @t222))) % 0.52/1.00 (assume @p76 (forall (@list @t7 @t1 @t5 @t8 @t2) (or (tptp.c_Finite__Set_Ofinite @t7 @t1) @t227 @t73))) % 0.52/1.00 (assume @p77 (forall (@list @t2 @t5 @t30 @t7 @t1 @t8) (or (tptp.hBOOL (tptp.hAPP @t229 @t7)) @t228 (not (tptp.c_lessequals @t164 @t7 @t3))))) % 0.52/1.00 (assume @p78 (forall (@list @t144 @t1 @t2 @t8 @t30) (or (= (tptp.c_Set_Oimage @t231 @t8 @t2 @t1) (tptp.c_Set_Oinsert @t144 @t230 @t1)) @t56))) % 0.52/1.00 (assume @p79 (forall (@list @t8 @t2 @t5 @t70 @t30 @t1) (or @t72 (not (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t8 @t30 @t2 @t1))))) % 0.52/1.00 (assume @p80 (forall @t193 (or @t232 (= @t34 @t8)))) % 0.52/1.00 (assume @p81 (forall @t237 (or @t236 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t235) @t5) @t71) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t1) @t234) @t233))))) % 0.52/1.00 (assume @p82 (forall (@list @t71 @t5 @t8 @t2 @t68 @t1) (or (tptp.c_Fun_Oinj__on @t71 (tptp.c_Set_Oimage @t5 @t8 @t2 @t68) @t68 @t1) (not (tptp.c_Fun_Oinj__on @t238 @t8 @t2 @t1))))) % 0.52/1.00 (assume @p83 (forall @t243 (= (tptp.hAPP (tptp.hAPP @t122 @t87) @t8) (tptp.hAPP (tptp.hAPP @t85 @t242) @t240)))) % 0.52/1.00 (assume @p84 (forall @t183 (= @t180 (tptp.hAPP @t181 @t244)))) % 0.52/1.00 (assume @p85 (forall @t254 (or @t253 (= @t252 @t249)))) % 0.52/1.00 (assume @p86 (forall @t257 (or @t253 (= (tptp.hAPP (tptp.hAPP @t245 @t251) @t30) (tptp.hAPP (tptp.hAPP @t76 @t256) (tptp.hAPP (tptp.hAPP @t245 @t70) @t30)))))) % 0.52/1.00 (assume @p87 (forall (@list @t101 @t30 @t2 @t8) (or @t260 @t259))) % 0.52/1.00 (assume @p88 (forall @t262 (= (tptp.c_Fun_Ocomp @t5 @t261 @t2 @t1 @t2) @t5))) % 0.52/1.00 (assume @p89 (forall (@list @t1 @t71 @t2) (= (tptp.c_Fun_Ocomp @t263 @t71 @t1 @t1 @t2) @t71))) % 0.52/1.00 (assume @p90 (forall (@list @t69 @t167 @t1 @t2) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Ovimage @t69 @t167 @t1 @t2) @t1) (not (tptp.c_Fun_Oinj__on @t69 @t105 @t1 @t2)) @t169))) % 0.52/1.00 (assume @p91 (forall @t115 (= (tptp.hAPP @t90 @t8) @t8))) % 0.52/1.00 (assume @p92 (forall @t113 (or @t80 (= (tptp.hAPP @t111 @t30) @t30)))) % 0.52/1.00 (assume @p93 (forall @t269 (or @t268 @t267 @t266 @t265))) % 0.52/1.00 (assume @p94 (forall @t272 (or @t271 @t270 @t97))) % 0.52/1.00 (assume @p95 (forall @t278 (or @t277 @t276 @t275 @t274))) % 0.52/1.00 (assume @p96 (forall @t178 (= (tptp.c_Relation_OImage @t175 @t279 @t1 @t2) (tptp.hAPP (tptp.hAPP @t85 @t177) @t176)))) % 0.52/1.00 (assume @p97 (forall (@list @t5 @t16 @t8 @t2 @t1) (or @t18 @t280 @t82))) % 0.52/1.00 (assume @p98 (forall @t115 (tptp.c_Fun_Oinj__on @t261 @t8 @t2 @t2))) % 0.52/1.00 (assume @p99 (forall (@list @t30 @t128 @t8 @t2) (= (tptp.c_Set_Oinsert @t30 @t129 @t2) (tptp.c_Set_Oinsert @t128 @t35 @t2)))) % 0.52/1.00 (assume @p100 (forall (@list @t8 @t1 @t7 @t2) (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t281 @t3) @t8))) % 0.52/1.00 (assume @p101 (forall (@list @t101 @t1 @t68 @t2 @t282 @t175) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t101 @t1 @t68 @t2) @t282) @t175) (tptp.hAPP (tptp.hAPP @t101 @t175) @t282)))) % 0.52/1.00 (assume @p102 (forall (@list @t101 @t2 @t1 @t282) (= (tptp.hAPP (tptp.c_COMBK @t101 @t2 @t1) @t282) @t101))) % 0.52/1.00 (assume @p103 (forall @t288 (or (not @t287) @t284 @t82 @t134))) % 0.52/1.00 (assume @p104 (forall @t288 (or @t287 @t135))) % 0.52/1.00 (assume @p105 (forall @t75 (= (tptp.c_HOL_Ominus__class_Ominus @t34 @t7 @t3) @t34))) % 0.52/1.00 (assume @p106 (forall @t291 (or @t290 @t264 @t289))) % 0.52/1.00 (assume @p107 (forall @t113 (or @t290 (not @t294) @t293))) % 0.52/1.00 (assume @p108 (forall @t113 (or @t290 @t292 @t294))) % 0.52/1.00 (assume @p109 (forall @t291 (or @t290 @t265 @t295))) % 0.52/1.00 (assume @p110 (forall @t296 (or @t290 @t289 @t264))) % 0.52/1.00 (assume @p111 (forall @t291 (or @t290 @t298 @t274))) % 0.52/1.00 (assume @p112 (forall @t296 (or @t290 @t273 @t297))) % 0.52/1.00 (assume @p113 (forall (@list @t1 @t71 @t5 @t2) (or @t303 (not @t302) @t301))) % 0.52/1.00 (assume @p114 (forall @t296 (or @t268 @t295 @t265))) % 0.52/1.00 (assume @p115 (forall (@list @t2 @t5 @t30 @t1) (tptp.hBOOL (tptp.hAPP @t229 @t304)))) % 0.52/1.00 (assume @p116 (forall @t115 (or @t108 (= @t107 (tptp.c_Finite__Set_Ofold @t76 @t305 @t8 @t2 @t2)) @t73))) % 0.52/1.00 (assume @p117 (forall (@list @t2 @t306 @t128 @t30) (or @t308 (not (= (tptp.c_HOL_Ominus__class_Ominus @t306 @t128 @t2) @t307)) (= @t306 @t128)))) % 0.52/1.00 (assume @p118 (forall (@list @t2 @t30 @t310 @t309) (or @t308 (not (= @t307 @t311)) (= @t310 @t309)))) % 0.52/1.00 (assume @p119 (forall (@list @t2 @t23 @t312) (or @t290 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t23 @t2) (tptp.c_Finite__Set_Olinorder__class_OMax @t312 @t2) @t2) @t315 @t314 @t313))) % 0.52/1.00 (assume @p120 (forall @t316 (or @t290 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t103 @t2) @t16)))) % 0.52/1.00 (assume @p121 (forall @t317 (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t164 @t163 @t3) (tptp.c_Set_Oimage @t5 @t95 @t1 @t2) @t3))) % 0.52/1.00 (assume @p122 (forall @t183 (= @t319 (tptp.hAPP @t86 @t318)))) % 0.52/1.00 (assume @p123 (forall @t183 (= (tptp.hAPP (tptp.hAPP @t85 @t91) @t84) @t319))) % 0.52/1.00 (assume @p124 (forall @t254 (or @t80 @t322))) % 0.52/1.00 (assume @p125 (forall @t254 (or @t80 @t324))) % 0.52/1.00 (assume @p126 (forall @t254 (or @t325 @t324))) % 0.52/1.00 (assume @p127 (forall @t254 (or @t325 @t322))) % 0.52/1.00 (assume @p128 (forall @t193 (or (= @t124 @t8) @t10))) % 0.52/1.00 (assume @p129 (forall @t193 (or (= @t124 @t7) @t326))) % 0.52/1.00 (assume @p130 (forall @t291 (or @t328 @t327 @t298))) % 0.52/1.00 (assume @p131 (forall @t291 (or @t328 (not @t327) @t297))) % 0.52/1.00 (assume @p132 (forall @t291 (or @t328 (= @t248 @t128) @t295))) % 0.52/1.00 (assume @p133 (forall @t183 (or @t329 @t226 @t224))) % 0.52/1.00 (assume @p134 (forall (@list @t7 @t2 @t8) (tptp.c_lessequals @t7 @t91 @t3))) % 0.52/1.00 (assume @p135 (forall @t121 (tptp.c_lessequals @t8 @t91 @t3))) % 0.52/1.00 (assume @p136 (forall @t335 (or @t80 @t334 @t333 @t331))) % 0.52/1.00 (assume @p137 (forall @t291 (or @t80 @t336))) % 0.52/1.00 (assume @p138 (forall @t296 (or @t80 @t337))) % 0.52/1.00 (assume @p139 (forall @t257 (or @t80 (tptp.c_lessequals @t251 @t30 @t2) (not @t338) @t295))) % 0.52/1.00 (assume @p140 (forall @t254 (or @t80 @t343 @t342 @t340))) % 0.52/1.00 (assume @p141 (forall @t296 (or @t325 @t337))) % 0.52/1.00 (assume @p142 (forall @t291 (or @t325 @t336))) % 0.52/1.00 (assume @p143 (forall @t193 (= @t124 @t242))) % 0.52/1.00 (assume @p144 (forall @t291 (or @t328 @t344))) % 0.52/1.00 (assume @p145 (forall @t291 (or @t325 @t344))) % 0.52/1.00 (assume @p146 (forall (@list @t49 @t50 @t48 @t2 @t47 @t45 @t46 @t43 @t44) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t49 @t50 (tptp.c_COMBC @t48 @t2 @t2 tptp.tc_bool) (tptp.c_COMBC @t47 @t2 @t2 tptp.tc_bool) @t45 @t46 @t43 @t44 @t2) @t51))) % 0.52/1.00 (assume @p147 (forall @t193 (or (= @t345 @t7) @t10))) % 0.52/1.00 (assume @p148 (forall @t254 (or @t325 (tptp.c_lessequals @t249 @t252 @t2)))) % 0.52/1.00 (assume @p149 (forall @t75 (tptp.c_lessequals @t34 @t8 @t3))) % 0.52/1.00 (assume @p150 (forall @t146 (= @t346 @t17))) % 0.52/1.00 (assume @p151 (forall @t63 (or @t53 @t10 @t62 @t32))) % 0.52/1.00 (assume @p152 (forall @t183 (= (tptp.hAPP (tptp.hAPP @t85 (tptp.hAPP @t181 @t350)) @t240) (tptp.hAPP (tptp.hAPP @t122 (tptp.hAPP @t349 @t87)) @t348)))) % 0.52/1.00 (assume @p153 (forall (@list @t144 @t2 @t1) (= (tptp.c_Set_Oimage @t351 @t230 @t1 @t2) @t57))) % 0.52/1.00 (assume @p154 (forall (@list @t64 @t70 @t41 @t8 @t2 @t128) (or (tptp.c_Finite__Set_Ofold__graph @t64 @t70 @t354 (tptp.hAPP (tptp.hAPP @t64 @t70) @t128) @t2 @t2) @t353 (not (tptp.c_Finite__Set_Ofold__graph @t64 @t41 @t8 @t128 @t2 @t2)) @t65))) % 0.52/1.00 (assume @p155 (forall @t83 (or @t355 @t6))) % 0.52/1.00 (assume @p156 (forall @t356 (or @t32 @t39))) % 0.52/1.00 (assume @p157 (forall (@list @t1 @t8 @t23 @t2) (or @t24 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 (tptp.c_COMBK @t23 @t1 @t2) @t2 @t1) @t23) @t137))) % 0.52/1.00 (assume @p158 (forall (@list @t128 @t8 @t2 @t30) (or @t130 @t217))) % 0.52/1.00 (assume @p159 (forall (@list @t5 @t30 @t8 @t2 @t1) (or (= (tptp.c_Set_Oinsert @t154 @t13 @t1) @t13) @t56))) % 0.52/1.00 (assume @p160 (forall @t63 (or @t220 @t10 @t55))) % 0.52/1.00 (assume @p161 (forall @t40 (or @t9 @t55 @t221))) % 0.52/1.00 (assume @p162 (forall @t40 (or @t9 @t221 @t55))) % 0.52/1.00 (assume @p163 (forall @t317 (or (tptp.c_lessequals @t98 @t357 @t11) @t10))) % 0.52/1.00 (assume @p164 (forall @t92 (or (= @t358 @t124) @t26))) % 0.52/1.00 (assume @p165 (forall @t89 (or (= @t360 @t350) @t359))) % 0.52/1.00 (assume @p166 (forall (@list @t16 @t41 @t68 @t1 @t2 @t144 @t197) (or (not (= @t198 (tptp.c_Fun_Ocomp @t263 @t144 @t1 @t1 @t2))) (= @t199 (tptp.hAPP @t144 @t197))))) % 0.52/1.00 (assume @p167 (forall @t362 (= (tptp.hAPP (tptp.hAPP @t85 @t285) @t8) @t361))) % 0.52/1.00 (assume @p168 (forall @t193 (= @t345 @t91))) % 0.52/1.00 (assume @p169 (forall @t365 (or (= @t363 @t8) (not @t364) (not (tptp.c_lessequals @t363 @t8 @t3)) @t73))) % 0.52/1.00 (assume @p170 (forall @t153 (or (not (= (tptp.hAPP @t7 @t367) @t57)) @t366))) % 0.52/1.00 (assume @p171 (forall @t254 (or @t325 @t370))) % 0.52/1.00 (assume @p172 (forall @t254 (or @t325 @t371))) % 0.52/1.00 (assume @p173 (forall @t254 (or @t328 @t371))) % 0.52/1.00 (assume @p174 (forall @t254 (or @t328 @t370))) % 0.52/1.00 (assume @p175 (forall @t183 (= (tptp.hAPP (tptp.hAPP @t122 @t124) @t84) @t372))) % 0.52/1.00 (assume @p176 (forall @t183 (= @t372 (tptp.hAPP @t241 @t244)))) % 0.52/1.00 (assume @p177 (forall @t316 (or @t290 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t103 @t2) @t16)))) % 0.52/1.00 (assume @p178 (forall (@list @t167 @t2 @t170) (or @t168 @t373))) % 0.52/1.00 (assume @p179 (forall (@list @t170 @t2 @t167) (or @t171 @t373))) % 0.52/1.00 (assume @p180 (forall (@list @t186 @t8 @t2 @t1 @t7) (= (tptp.c_Map_Orestrict__map @t187 @t7 @t2 @t1) (tptp.c_Map_Orestrict__map @t186 @t124 @t2 @t1)))) % 0.52/1.00 (assume @p181 (forall (@list @t2 @t1 @t8 @t7) (= (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t230 @t8 @t1 @t3)) @t7) @t7))) % 0.52/1.00 (assume @p182 (forall (@list @t2 @t8 @t1 @t7) (= (tptp.hAPP @t90 @t281) @t8))) % 0.52/1.00 (assume @p183 (forall @t15 (or @t136 @t6 @t133))) % 0.52/1.00 (assume @p184 (forall @t193 (or @t112 @t374 (= @t7 @t110)))) % 0.52/1.00 (assume @p185 (forall @t193 (or @t112 @t374 (= @t8 @t110)))) % 0.52/1.00 (assume @p186 (forall @t40 (or @t9 @t55 @t32 @t54))) % 0.52/1.00 (assume @p187 (forall @t63 (or @t53 @t10 @t55 @t32))) % 0.52/1.00 (assume @p188 (forall (@list @t2 @t84 @t8 @t7) (= (tptp.hAPP @t239 @t34) (tptp.c_HOL_Ominus__class_Ominus @t240 (tptp.hAPP @t239 @t7) @t3)))) % 0.52/1.00 (assume @p189 (forall @t183 (= (tptp.hAPP @t376 @t84) @t375))) % 0.52/1.00 (assume @p190 (forall (@list @t144 @t2 @t1 @t8) (or (= (tptp.c_Set_Oimage @t351 @t8 @t1 @t2) (tptp.c_Set_Oinsert @t144 @t57 @t2)) @t377))) % 0.52/1.00 (assume @p191 (forall @t40 (or @t96 @t33 @t54))) % 0.52/1.00 (assume @p192 (forall @t63 (or @t53 @t33 @t97))) % 0.52/1.00 (assume @p193 (forall @t380 (or @t328 (= (tptp.c_Finite__Set_Ofold @t245 @t41 @t17 @t2 @t2) (tptp.hAPP @t379 @t378)) @t73))) % 0.52/1.00 (assume @p194 (forall (@list @t8 @t7 @t2 @t84 @t381) (or (tptp.c_lessequals @t34 (tptp.c_HOL_Ominus__class_Ominus @t84 @t381 @t3) @t3) (not (tptp.c_lessequals @t381 @t7 @t3)) @t224))) % 0.52/1.00 (assume @p195 (forall @t113 (or @t112 (= (tptp.hAPP @t246 @t110) @t30)))) % 0.52/1.00 (assume @p196 (forall @t113 (or @t112 (= (tptp.hAPP (tptp.hAPP @t245 @t110) @t30) @t30)))) % 0.52/1.00 (assume @p197 (forall @t114 (= (tptp.hAPP (tptp.hAPP @t122 @t4) @t7) @t7))) % 0.52/1.00 (assume @p198 (forall @t115 (= (tptp.hAPP @t123 @t4) @t8))) % 0.52/1.00 (assume @p199 (forall @t100 (= @t99 (tptp.hAPP @t123 @t304)))) % 0.52/1.00 (assume @p200 (forall @t254 (or @t325 (tptp.c_lessequals @t383 @t382 @t2)))) % 0.52/1.00 (assume @p201 (forall (@list @t2 @t8 @t84 @t7) (= @t375 (tptp.c_HOL_Ominus__class_Ominus @t244 @t7 @t3)))) % 0.52/1.00 (assume @p202 (forall @t291 (or @t268 @t264 @t289 @t298))) % 0.52/1.00 (assume @p203 (forall @t384 (not (tptp.c_HOL_Oord__class_Oless @t30 @t30 @t3)))) % 0.52/1.00 (assume @p204 (forall @t387 (or @t303 @t300 @t302 @t386))) % 0.52/1.00 (assume @p205 (forall @t113 (or @t277 @t293))) % 0.52/1.00 (assume @p206 (forall @t113 (or @t290 @t293))) % 0.52/1.00 (assume @p207 (forall @t113 (or @t268 @t293))) % 0.52/1.00 (assume @p208 (forall @t291 (or @t325 (= (tptp.hAPP @t111 @t248) @t30)))) % 0.52/1.00 (assume @p209 (forall @t113 (tptp.hBOOL (tptp.hAPP @t4 @t30)))) % 0.52/1.00 (assume @p210 (forall @t388 (or (not (tptp.class_Orderings_Otop @t1)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t235) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t1))))) % 0.52/1.00 (assume @p211 (forall (@list @t175 @t389 @t2) (or @t394 (not @t393)))) % 0.52/1.00 (assume @p212 (forall @t395 (or @t393 (not @t394)))) % 0.52/1.00 (assume @p213 (forall @t380 (or @t80 (= (tptp.c_Finite__Set_Ofold @t76 @t41 @t17 @t2 @t2) (tptp.hAPP @t78 @t77)) @t73))) % 0.52/1.00 (assume @p214 (forall @t296 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t2)) @t273 @t264 @t204))) % 0.52/1.00 (assume @p215 (forall @t291 (or @t290 @t204 @t273 @t264))) % 0.52/1.00 (assume @p216 (forall @t75 (or @t133 @t326 @t10))) % 0.52/1.00 (assume @p217 (forall @t291 (or @t277 @t204 @t295 @t298))) % 0.52/1.00 (assume @p218 (forall @t296 (or @t290 @t273 @t264 @t204))) % 0.52/1.00 (assume @p219 (forall @t291 (or @t277 @t204 @t298 @t295))) % 0.52/1.00 (assume @p220 (forall @t296 (or @t290 @t273 @t204 @t264))) % 0.52/1.00 (assume @p221 (forall @t291 (or @t290 @t204 @t264 @t273))) % 0.52/1.00 (assume @p222 (forall @t291 (or @t325 (= (tptp.hAPP @t246 @t321) @t30)))) % 0.52/1.00 (assume @p223 (forall @t335 (or @t328 @t397 (not (tptp.c_HOL_Oord__class_Oless @t41 @t30 @t2))))) % 0.52/1.00 (assume @p224 (forall @t335 (or @t328 @t397 (not (tptp.c_HOL_Oord__class_Oless @t16 @t30 @t2))))) % 0.52/1.00 (assume @p225 (forall @t193 (= (tptp.hAPP @t398 @t124) @t8))) % 0.52/1.00 (assume @p226 (forall @t75 (or @t9 @t97))) % 0.52/1.00 (assume @p227 (forall @t387 (or @t303 @t385 @t301))) % 0.52/1.00 (assume @p228 (forall @t291 (or @t277 @t297 @t265))) % 0.52/1.00 (assume @p229 (forall @t291 (or @t268 @t297 @t265))) % 0.52/1.00 (assume @p230 (forall @t291 (or @t80 (= @t321 @t30) @t295))) % 0.52/1.00 (assume @p231 (forall @t291 (or @t80 (not @t399) @t297))) % 0.52/1.00 (assume @p232 (forall @t291 (or @t80 @t399 @t298))) % 0.52/1.00 (assume @p233 (forall @t193 (or @t400 @t10))) % 0.52/1.00 (assume @p234 (forall @t193 (or (= @t91 @t8) @t326))) % 0.52/1.00 (assume @p235 (forall @t193 (or (not @t400) @t9))) % 0.52/1.00 (assume @p236 (forall (@list @t69 @t167 @t2 @t1) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t69 @t167 @t2 @t1) @t1) @t169))) % 0.52/1.00 (assume @p237 (forall @t63 (or @t53 @t10 @t55 @t97))) % 0.52/1.00 (assume @p238 (forall (@list @t2 @t312 @t23) (or @t290 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t312 @t2) (tptp.c_Finite__Set_Olinorder__class_OMin @t23 @t2) @t2) @t315 @t314 @t313))) % 0.52/1.00 (assume @p239 (forall (@list @t16 @t8 @t1 @t7 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t401 @t7 @t1 @t3) (tptp.hAPP (tptp.hAPP @t85 @t29) @t150)))) % 0.52/1.00 (assume @p240 (forall (@list @t49 @t16 @t8 @t2 @t45 @t50 @t48 @t47 @t46 @t44 @t43) (or (= (tptp.hAPP @t49 @t17) (tptp.hAPP @t159 @t402)) @t51))) % 0.52/1.00 (assume @p241 (forall (@list @t50 @t16 @t8 @t2 @t46 @t49 @t48 @t47 @t45 @t44 @t43) (or (= (tptp.hAPP @t50 @t17) (tptp.hAPP @t162 @t403)) @t51))) % 0.52/1.00 (assume @p242 (forall (@list @t5 @t30 @t2) (tptp.c_Finite__Set_Ofold1Set @t5 @t58 @t30 @t2))) % 0.52/1.00 (assume @p243 (forall (@list @t170 @t404 @t2 @t405) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t170 @t404 @t2) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t170 @t405 @t2)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t405 @t404 @t2))))) % 0.52/1.00 (assume @p244 (forall @t89 (or (= @t360 (tptp.c_Set_Oinsert @t16 @t350 @t2)) (not @t359)))) % 0.52/1.00 (assume @p245 (forall @t92 (or (= @t358 @t125) @t27))) % 0.52/1.00 (assume @p246 (forall @t407 (= (tptp.c_Set_Oimage @t5 @t406 @t1 @t2) (tptp.c_Set_Oinsert @t200 @t163 @t2)))) % 0.52/1.00 (assume @p247 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t4 @t3) @t57))) % 0.52/1.00 (assume @p248 (forall (@list @t5 @t71 @t1 @t68 @t2 @t30) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t5 @t71 @t1 @t68 @t2) @t30) (tptp.hAPP @t71 @t154)))) % 0.52/1.00 (assume @p249 (forall @t409 (or (tptp.c_lessequals @t91 (tptp.hAPP @t347 @t381) @t3) @t408 @t224))) % 0.52/1.00 (assume @p250 (forall @t291 (or @t325 @t410))) % 0.52/1.00 (assume @p251 (forall @t291 (or @t325 @t411))) % 0.52/1.00 (assume @p252 (forall @t254 (or @t328 @t412 @t340 @t298))) % 0.52/1.00 (assume @p253 (forall @t418 (or @t328 @t417 @t416 @t414))) % 0.52/1.00 (assume @p254 (forall @t291 (or @t328 @t411))) % 0.52/1.00 (assume @p255 (forall @t291 (or @t328 @t410))) % 0.52/1.00 (assume @p256 (forall @t193 (tptp.c_lessequals @t124 @t8 @t3))) % 0.52/1.00 (assume @p257 (forall @t193 (tptp.c_lessequals @t124 @t7 @t3))) % 0.52/1.00 (assume @p258 (forall (@list @t84 @t2 @t8 @t7) (or @t420 (not @t419) @t184))) % 0.52/1.00 (assume @p259 (forall @t140 (tptp.c_lessequals @t8 @t4 @t3))) % 0.52/1.00 (assume @p260 (forall @t113 (or (not (tptp.class_Orderings_Otop @t2)) (tptp.c_lessequals @t30 @t110 @t2)))) % 0.52/1.00 (assume @p261 (forall (@list @t5 @t71 @t69 @t421 @t68 @t2 @t1) (= (tptp.c_Fun_Ocomp @t5 (tptp.c_Fun_Ocomp @t71 @t69 @t421 @t68 @t2) @t68 @t1 @t2) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t5 @t71 @t68 @t1 @t421) @t69 @t421 @t1 @t2)))) % 0.52/1.00 (assume @p262 (forall (@list @t16 @t1 @t7 @t2) (= (tptp.c_Set_Oinsert @t16 @t281 @t2) @t103))) % 0.52/1.00 (assume @p263 (forall @t257 (or @t253 (= (tptp.hAPP (tptp.hAPP @t76 @t368) @t30) (tptp.hAPP (tptp.hAPP @t245 @t422) (tptp.hAPP (tptp.hAPP @t76 @t70) @t30)))))) % 0.52/1.00 (assume @p264 (forall @t254 (or @t253 (= @t383 @t382)))) % 0.52/1.00 (assume @p265 (forall (@list @t1 @t8 @t7) (or (not (tptp.class_HOL_Ominus @t1)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 @t235) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t8 tptp.v_x) (tptp.hAPP @t7 tptp.v_x) @t1))))) % 0.52/1.00 (assume @p266 (forall (@list @t84 @t7 @t2 @t8) (or @t419 @t423))) % 0.52/1.00 (assume @p267 (forall (@list @t84 @t8 @t2 @t7) (or @t179 @t423))) % 0.52/1.00 (assume @p268 (forall @t418 (or @t328 @t413 @t424))) % 0.52/1.00 (assume @p269 (forall (@list @t2 @t30 @t41 @t16) (or @t328 @t415 @t424))) % 0.52/1.00 (assume @p270 (forall @t335 (or @t328 @t425 @t331))) % 0.52/1.00 (assume @p271 (forall @t335 (or @t328 @t425 @t333))) % 0.52/1.00 (assume @p272 (forall @t254 (or @t328 @t297 @t426))) % 0.52/1.00 (assume @p273 (forall @t269 (or @t328 @t339 @t426))) % 0.52/1.00 (assume @p274 (forall @t115 (= (tptp.c_Set_Ovimage @t261 @t8 @t2 @t2) @t8))) % 0.52/1.00 (assume @p275 (forall @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t91 @t84 @t3) (tptp.hAPP (tptp.hAPP @t85 @t428) @t427)))) % 0.52/1.00 (assume @p276 (forall (@list @t2 @t41 @t8 @t16) (or @t328 (tptp.c_lessequals @t378 @t396 @t2) @t27 @t73))) % 0.52/1.00 (assume @p277 (forall (@list @t71 @t5 @t68 @t1 @t2 @t30) (= (tptp.c_Set_Ovimage @t238 @t30 @t2 @t1) (tptp.c_Set_Ovimage @t5 (tptp.c_Set_Ovimage @t71 @t30 @t68 @t1) @t2 @t68)))) % 0.52/1.00 (assume @p278 (forall (@list @t16 @t7 @t2) (= @t88 (tptp.hAPP (tptp.hAPP @t85 @t430) @t7)))) % 0.52/1.00 (assume @p279 (forall @t63 (or @t53 @t10 @t62 @t97))) % 0.52/1.00 (assume @p280 (forall @t193 (= @t91 @t361))) % 0.52/1.00 (assume @p281 (forall @t291 (or @t80 @t431))) % 0.52/1.00 (assume @p282 (forall @t291 (or @t325 @t431))) % 0.52/1.00 (assume @p283 (forall (@list @t2 @t432) (= (tptp.c_Set_Oimage @t261 @t432 @t2 @t2) @t432))) % 0.52/1.00 (assume @p284 (forall @t146 (= @t17 (tptp.hAPP (tptp.hAPP @t85 @t103) @t8)))) % 0.52/1.00 (assume @p285 (forall @t193 (= (tptp.hAPP @t90 @t91) @t91))) % 0.52/1.00 (assume @p286 (forall @t291 (or @t80 @t433))) % 0.52/1.00 (assume @p287 (forall @t291 (or @t325 @t433))) % 0.52/1.00 (assume @p288 (forall (@list @t64 @t16 @t41 @t8 @t2 @t30) (or (tptp.c_Finite__Set_Ofold__graph @t64 @t16 (tptp.c_Set_Oinsert @t41 @t118 @t2) @t30 @t2 @t2) @t353 @t27 (not (tptp.c_Finite__Set_Ofold__graph @t64 @t41 @t8 @t30 @t2 @t2)) @t65))) % 0.52/1.00 (assume @p289 (forall (@list @t71 @t5 @t1 @t68 @t2 @t8) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t71 @t5 @t1 @t68 @t2) @t8 @t2 @t68) (not (tptp.c_Fun_Oinj__on @t71 @t13 @t1 @t68)) @t82))) % 0.52/1.00 (assume @p290 (forall @t193 (= (tptp.hAPP @t123 @t285) @t57))) % 0.52/1.00 (assume @p291 (forall @t115 (or @t434 @t72))) % 0.52/1.00 (assume @p292 (forall (@list @t5 @t70 @t30 @t8 @t2 @t128 @t1) (or (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t35 @t155 @t2 @t1) (not (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t8 @t128 @t2 @t1)) @t55))) % 0.52/1.00 (assume @p293 (forall @t435 (or @t55 @t259))) % 0.52/1.00 (assume @p294 (forall @t166 (= (tptp.c_Set_Ovimage @t5 @t279 @t2 @t1) (tptp.hAPP (tptp.hAPP @t85 @t94) @t93)))) % 0.52/1.00 (assume @p295 (forall @t436 (or @t108 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t161 @t2) @t79)))) % 0.52/1.00 (assume @p296 (forall @t203 (or (not @t280) @t19))) % 0.52/1.00 (assume @p297 (forall @t37 (or (= @t36 (tptp.c_Set_Oinsert @t30 @t34 @t2)) @t32))) % 0.52/1.00 (assume @p298 (forall @t156 (or (tptp.c_Nitpick_Ofold__graph_H @t5 @t70 @t8 @t155 @t2 @t1) (not (tptp.c_Nitpick_Ofold__graph_H @t5 @t70 @t59 @t128 @t2 @t1)) @t56))) % 0.52/1.00 (assume @p299 (forall @t63 (or @t220 @t10 @t219))) % 0.52/1.00 (assume @p300 (forall (@list @t7 @t30 @t2 @t8) (or @t214 @t438))) % 0.52/1.00 (assume @p301 (forall @t61 (or @t132 @t438))) % 0.52/1.00 (assume @p302 (forall @t365 (or @t364 (not (tptp.c_lessequals @t8 @t363 @t3)) @t73))) % 0.52/1.00 (assume @p303 (forall @t439 (or @t283 @t135))) % 0.52/1.00 (assume @p304 (forall @t15 (or @t20 @t135))) % 0.52/1.00 (assume @p305 (forall @t439 (or (tptp.c_lessequals @t93 @t8 @t3) @t227 @t6))) % 0.52/1.00 (assume @p306 (forall @t440 (or @t108 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t4 @t2) @t110)))) % 0.52/1.00 (assume @p307 (forall @t113 (= (tptp.hAPP @t261 @t30) @t30))) % 0.52/1.00 (assume @p308 (forall (@list @t8 @t7 @t2 @t84) (or @t442 (not @t441)))) % 0.52/1.00 (assume @p309 (forall @t443 (or @t441 (not @t442)))) % 0.52/1.00 (assume @p310 (forall (@list @t444 @t175 @t445) (or (tptp.c_Finite__Set_Ofinite @t444 tptp.t_a) @t446))) % 0.52/1.00 (assume @p311 (forall (@list @t445 @t175 @t444) (or (tptp.c_Finite__Set_Ofinite @t445 tptp.t_a) @t446))) % 0.52/1.00 (assume @p312 (forall @t418 (or @t80 @t447 (not (tptp.c_HOL_Oord__class_Oless @t30 @t16 @t2))))) % 0.52/1.00 (assume @p313 (forall @t418 (or @t80 @t447 (not (tptp.c_HOL_Oord__class_Oless @t30 @t41 @t2))))) % 0.52/1.00 (assume @p314 (forall @t166 (= (tptp.c_Set_Ovimage @t5 @t165 @t2 @t1) (tptp.hAPP (tptp.hAPP @t122 @t94) @t93)))) % 0.52/1.00 (assume @p315 (forall @t174 (or @t448 @t172))) % 0.52/1.00 (assume @p316 (forall @t174 (or @t448 @t169))) % 0.52/1.00 (assume @p317 (forall (@list @t1 @t5 @t30 @t71 @t2) (or @t303 (tptp.c_lessequals @t154 @t194 @t1) @t386))) % 0.52/1.00 (assume @p318 (forall @t455 (or @t454 @t453 @t451))) % 0.52/1.00 (assume @p319 (forall @t81 (or @t456 @t27))) % 0.52/1.00 (assume @p320 (forall (@list @t2 @t16 @t41 @t7) (or (tptp.hBOOL (tptp.hAPP @t25 @t42)) (not (tptp.hBOOL (tptp.hAPP @t25 @t7)))))) % 0.52/1.00 (assume @p321 (forall (@list @t2 @t457 @t7 @t8) (or (tptp.hBOOL (tptp.hAPP @t458 @t7)) (not (tptp.hBOOL (tptp.hAPP @t458 @t8))) @t10))) % 0.52/1.00 (assume @p322 (forall @t356 (or @t32 @t10 @t56))) % 0.52/1.00 (assume @p323 (forall @t459 (or @t452 @t451 @t10))) % 0.52/1.00 (assume @p324 (forall @t356 (or @t32 @t56 @t10))) % 0.52/1.00 (assume @p325 (forall @t455 (or @t460 @t451))) % 0.52/1.00 (assume @p326 (forall @t455 (or @t460 @t453))) % 0.52/1.00 (assume @p327 (forall @t189 (or (= @t188 (tptp.hAPP @t186 @t30)) @t56))) % 0.52/1.00 (assume @p328 (forall (@list @t2 @t16 @t8 @t41) (or @t26 @t104 (not @t456)))) % 0.52/1.00 (assume @p329 (forall @t459 (or @t452 @t450 (not @t460)))) % 0.52/1.00 (assume @p330 (forall @t463 (or (= @t462 @t461) @t27))) % 0.52/1.00 (assume @p331 (forall @t113 (tptp.hBOOL (tptp.hAPP @t31 @t4)))) % 0.52/1.00 (assume @p332 (forall @t459 (or @t453 @t465))) % 0.52/1.00 (assume @p333 (forall @t455 (or @t450 @t465))) % 0.52/1.00 (assume @p334 (forall @t463 (or (= @t462 @t200) @t26))) % 0.52/1.00 (assume @p335 (forall @t459 (or @t452 @t451 @t97))) % 0.52/1.00 (assume @p336 (forall @t466 (tptp.hBOOL (tptp.hAPP @t31 @t35)))) % 0.52/1.00 (assume @p337 (forall (@list @t2 @t16 @t7) (tptp.hBOOL (tptp.hAPP @t25 @t88)))) % 0.52/1.00 (assume @p338 (forall (@list @t2 @t30 @t7) (tptp.hBOOL (tptp.hAPP @t31 @t52)))) % 0.52/1.00 (assume @p339 (forall @t459 (or @t452 @t467))) % 0.52/1.00 (assume @p340 (forall @t455 (or @t450 @t467))) % 0.52/1.00 (assume @p341 (forall @t469 (or @t212 @t468 @t56 @t204 @t82))) % 0.52/1.00 (assume @p342 (forall @t469 (or @t212 @t468 @t56 @t82 @t204))) % 0.52/1.00 (assume @p343 (forall (@list @t5 @t30 @t306 @t2 @t8 @t1) (or (not (= @t154 (tptp.hAPP @t5 @t306))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t306) @t8))) @t56 @t82 (= @t30 @t306)))) % 0.52/1.00 (assume @p344 (forall (@list @t5 @t30 @t128 @t8 @t2 @t1) (or @t212 @t82 @t204 @t468 @t56))) % 0.52/1.00 (assume @p345 (forall @t395 (or (not (= @t392 @t391)) (= @t175 @t389)))) % 0.52/1.00 (assume @p346 (forall (@list @t2 @t16 @t101) (or @t471 (not @t470)))) % 0.52/1.00 (assume @p347 (forall (@list @t101 @t16 @t2) (or @t470 (not @t471)))) % 0.52/1.00 (assume @p348 (forall @t455 (or @t464 @t452 @t451))) % 0.52/1.00 (assume @p349 (forall @t37 (or (not (= @t35 @t52)) @t32 @t55 @t133))) % 0.52/1.00 (assume @p350 (forall (@list @t2 @t41 @t8 @t7 @t1 @t30) (or (tptp.hBOOL (tptp.hAPP @t352 @t150)) (not (tptp.hBOOL (tptp.hAPP @t352 @t127))) @t228))) % 0.52/1.00 (assume @p351 (forall (@list @t1 @t41 @t8 @t7 @t2 @t16) (or (tptp.hBOOL (tptp.hAPP @t472 @t28)) (not (tptp.hBOOL (tptp.hAPP @t472 @t29))) @t27))) % 0.52/1.00 (assume @p352 (forall (@list @t2 @t16 @t5 @t7 @t1) (or @t474 (not @t473)))) % 0.52/1.00 (assume @p353 (forall (@list @t1 @t16 @t5 @t8 @t2) (or (tptp.hBOOL (tptp.hAPP @t476 @t98)) (not (tptp.hBOOL (tptp.hAPP @t475 @t8)))))) % 0.52/1.00 (assume @p354 (forall (@list @t1 @t16 @t5 @t7 @t2) (or (tptp.hBOOL (tptp.hAPP @t476 @t357)) (not (tptp.hBOOL (tptp.hAPP @t475 @t7)))))) % 0.52/1.00 (assume @p355 (forall (@list @t1 @t5 @t16 @t7 @t2) (or @t473 (not @t474)))) % 0.52/1.00 (assume @p356 (forall @t203 (or (tptp.hBOOL (tptp.hAPP @t201 @t8)) (not (tptp.hBOOL (tptp.hAPP @t25 @t94)))))) % 0.52/1.00 (assume @p357 (forall (@list @t48 @t50 @t8 @t30 @t2 @t49 @t47 @t46 @t45 @t44 @t43) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t403) @t30)) @t56 @t51))) % 0.52/1.00 (assume @p358 (forall (@list @t48 @t30 @t49 @t8 @t2 @t50 @t47 @t46 @t45 @t44 @t43) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t30) @t402)) @t56 @t51))) % 0.52/1.00 (assume @p359 (forall @t146 (or (= @t17 @t8) @t27))) % 0.52/1.00 (assume @p360 (forall (@list @t8 @t7 @t2 @t1 @t41 @t30) (or @t477 (not (tptp.hBOOL (tptp.hAPP @t127 @t41))) @t56))) % 0.52/1.00 (assume @p361 (forall (@list @t8 @t7 @t2 @t1 @t41 @t16) (or @t477 (not (tptp.hBOOL (tptp.hAPP @t29 @t41))) @t27))) % 0.52/1.00 (assume @p362 (forall (@list @t478 @t30 @t8 @t2 @t5) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t30) @t8))) (tptp.hBOOL (tptp.hAPP @t229 (tptp.c_Set_Oimage @t5 @t8 @t478 @t2)))))) % 0.52/1.00 (assume @p363 (forall @t183 (= (tptp.hAPP @t90 @t350) (tptp.hAPP @t349 @t318)))) % 0.52/1.00 (assume @p364 (forall @t243 (= (tptp.hAPP (tptp.hAPP @t85 @t350) @t8) (tptp.hAPP (tptp.hAPP @t122 @t361) @t348)))) % 0.52/1.00 (assume @p365 (forall @t126 (tptp.hBOOL (tptp.hAPP @t35 @t30)))) % 0.52/1.00 (assume @p366 (forall @t37 (or @t38 @t10 @t33))) % 0.52/1.00 (assume @p367 (forall @t291 (or @t325 @t480))) % 0.52/1.00 (assume @p368 (forall @t291 (or @t328 @t480))) % 0.52/1.00 (assume @p369 (forall @t193 (= (tptp.hAPP @t123 @t124) @t124))) % 0.52/1.00 (assume @p370 (forall (@list @t45 @t7 @t49 @t8 @t2 @t50 @t48 @t47 @t46 @t44 @t43) (or (= (tptp.hAPP (tptp.hAPP @t45 @t7) @t402) (tptp.c_Finite__Set_Ofold @t45 @t7 @t8 @t2 @t2)) @t73 @t51))) % 0.52/1.00 (assume @p371 (forall (@list @t46 @t7 @t50 @t8 @t2 @t49 @t48 @t47 @t45 @t44 @t43) (or (= (tptp.hAPP (tptp.hAPP @t46 @t7) @t403) (tptp.c_Finite__Set_Ofold @t46 @t7 @t8 @t2 @t2)) @t73 @t51))) % 0.52/1.00 (assume @p372 (forall (@list @t49 @t8 @t45 @t44 @t2 @t50 @t48 @t47 @t46 @t43) (or (= @t402 (tptp.c_Finite__Set_Ofold @t45 @t44 @t8 @t2 @t2)) @t73 @t51))) % 0.52/1.00 (assume @p373 (forall (@list @t50 @t8 @t46 @t43 @t2 @t49 @t48 @t47 @t45 @t44) (or (= @t403 (tptp.c_Finite__Set_Ofold @t46 @t43 @t8 @t2 @t2)) @t73 @t51))) % 0.52/1.00 (assume @p374 (forall (@list @t8 @t7 @t2 @t16) (or @t74 (not @t481)))) % 0.52/1.00 (assume @p375 (forall @t117 (or @t481 @t120))) % 0.52/1.00 (assume @p376 (forall @t106 (= (tptp.c_Fun_Ofcomp @t5 @t263 @t2 @t1 @t1) @t5))) % 0.52/1.00 (assume @p377 (forall (@list @t2 @t71 @t1) (= (tptp.c_Fun_Ofcomp @t261 @t71 @t2 @t2 @t1) @t71))) % 0.52/1.00 (assume @p378 (forall (@list @t5 @t71 @t68 @t2 @t1 @t482) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t5 @t71 @t68 @t2 @t1) @t482 @t1 @t2) (tptp.c_Set_Oimage @t5 (tptp.c_Set_Oimage @t71 @t482 @t1 @t68) @t68 @t2)))) % 0.52/1.00 (assume @p379 (forall @t440 (or @t434 (tptp.c_Finite__Set_Ofinite @t4 @t2)))) % 0.52/1.00 (assume @p380 (forall @t485 (not (= @t484 @t483)))) % 0.52/1.00 (assume @p381 (forall @t485 (not (= @t483 @t484)))) % 0.52/1.00 (assume @p382 (forall @t362 (or @t108 (= (tptp.hAPP (tptp.hAPP @t76 @t7) @t107) (tptp.c_Finite__Set_Ofold @t76 @t7 @t8 @t2 @t2)) @t73))) % 0.52/1.00 (assume @p383 (forall @t113 (or @t328 (= (tptp.hAPP @t246 @t30) @t30)))) % 0.52/1.00 (assume @p384 (forall @t115 (= (tptp.hAPP @t123 @t8) @t8))) % 0.52/1.00 (assume @p385 (forall @t257 (or @t80 @t341 @t486))) % 0.52/1.00 (assume @p386 (forall @t269 (or @t80 @t339 @t486))) % 0.52/1.00 (assume @p387 (forall @t418 (or @t80 @t487 @t416))) % 0.52/1.00 (assume @p388 (forall @t418 (or @t80 @t487 @t414))) % 0.52/1.00 (assume @p389 (forall (@list @t2 @t41 @t30 @t16) (or @t80 @t332 @t488))) % 0.52/1.00 (assume @p390 (forall (@list @t2 @t16 @t30 @t41) (or @t80 @t330 @t488))) % 0.52/1.00 (assume @p391 (forall @t272 (or @t223 @t489))) % 0.52/1.00 (assume @p392 (forall (@list @t7 @t84 @t2 @t8) (or @t225 @t489))) % 0.52/1.00 (assume @p393 (forall @t237 (or @t236 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t235) @t5) @t71) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t1) @t234) @t233))))) % 0.52/1.00 (assume @p394 (forall @t278 (or @t277 @t338 @t490 @t295))) % 0.52/1.00 (assume @p395 (forall @t278 (or @t277 @t276 @t490 @t274))) % 0.52/1.00 (assume @p396 (forall @t278 (or @t277 @t276 @t275 @t295))) % 0.52/1.00 (assume @p397 (forall @t269 (or @t268 @t339 @t342 @t298))) % 0.52/1.00 (assume @p398 (forall @t384 (tptp.c_lessequals @t30 @t30 @t3))) % 0.52/1.00 (assume @p399 (forall @t140 (tptp.c_lessequals @t8 @t8 @t3))) % 0.52/1.00 (assume @p400 (forall @t272 (or @t223 @t226 @t10))) % 0.52/1.00 (assume @p401 (forall @t15 (or @t20 @t10 @t284))) % 0.52/1.00 (assume @p402 (forall @t494 (or @t493 @t492 @t491))) % 0.52/1.00 (assume @p403 (forall @t113 (or @t277 @t294))) % 0.52/1.00 (assume @p404 (forall @t113 (or @t268 @t294))) % 0.52/1.00 (assume @p405 (forall @t121 (or @t72 @t119 @t10))) % 0.52/1.00 (assume @p406 (forall @t272 (or @t271 @t226 @t97))) % 0.52/1.00 (assume @p407 (forall @t272 (or @t271 @t270 @t10))) % 0.52/1.00 (assume @p408 (forall @t494 (or @t493 @t491 @t492))) % 0.52/1.00 (assume @p409 (forall @t121 (or @t72 @t10 @t119))) % 0.52/1.00 (assume @p410 (forall @t269 (or @t268 @t267 @t266 @t298))) % 0.52/1.00 (assume @p411 (forall @t269 (or @t268 @t267 @t342 @t265))) % 0.52/1.00 (assume @p412 (forall @t316 (or @t108 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t103 @t2) @t16)))) % 0.52/1.00 (assume @p413 (forall @t409 (or (tptp.c_lessequals @t124 (tptp.hAPP @t239 @t381) @t3) @t408 @t224))) % 0.52/1.00 (assume @p414 (forall @t443 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t87 @t3) (tptp.hAPP @t376 @t428)))) % 0.52/1.00 (assume @p415 (forall @t316 (= @t430 @t103))) % 0.52/1.00 (assume @p416 (forall @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t124 @t84 @t3) (tptp.hAPP @t123 @t427)))) % 0.52/1.00 (assume @p417 (forall (@list @t5 @t8 @t7 @t2 @t1 @t84) (or @t355 @t226 @t224 @t222))) % 0.52/1.00 (assume @p418 (forall (@list @t49 @t16 @t2 @t50 @t48 @t47 @t46 @t45 @t44 @t43) (or (= (tptp.hAPP @t49 @t103) @t16) @t51))) % 0.52/1.00 (assume @p419 (forall (@list @t50 @t16 @t2 @t49 @t48 @t47 @t46 @t45 @t44 @t43) (or (= (tptp.hAPP @t50 @t103) @t16) @t51))) % 0.52/1.00 (assume @p420 (forall @t435 (or @t258 @t492 @t56))) % 0.52/1.00 (assume @p421 (forall (@list @t16 @t41 @t68 @t1 @t2 @t144 @t495 @t421 @t197) (or (not (= @t198 (tptp.c_Fun_Ocomp @t144 @t495 @t421 @t1 @t2))) (= @t199 (tptp.hAPP @t144 (tptp.hAPP @t495 @t197)))))) % 0.52/1.00 (assume @p422 (forall (@list @t5 @t71 @t30 @t498 @t497 @t310 @t1 @t2 @t68 @t421 @t496) (or (not (= @t195 (tptp.hAPP @t498 (tptp.hAPP @t497 @t310)))) (= @t196 (tptp.hAPP (tptp.c_Fun_Ocomp @t498 @t497 @t421 @t2 @t496) @t310))))) % 0.52/1.00 (assume @p423 (forall (@list @t8 @t30 @t2) (or (= @t8 @t58) @t137 (not (tptp.c_lessequals @t8 @t58 @t3))))) % 0.52/1.00 (assume @p424 (forall @t407 (= (tptp.c_Set_Ovimage @t5 @t406 @t2 @t1) (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Set_Ovimage @t5 (tptp.c_Set_Oinsert @t16 @t230 @t1) @t2 @t1)) @t93)))) % 0.52/1.00 (assume @p425 (forall @t443 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t350 @t3) (tptp.hAPP @t398 @t428)))) % 0.52/1.00 (assume @p426 (forall (@list @t1 @t8 @t7 @t23 @t2) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t279 @t23 @t1 @t3) (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t23 @t1 @t3)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t7 @t23 @t1 @t3))))) % 0.52/1.00 (assume @p427 (forall (@list @t8 @t5 @t30 @t2 @t1) (or @t500 (not @t499)))) % 0.52/1.00 (assume @p428 (forall (@list @t5 @t8 @t2 @t1 @t30) (or @t499 (not @t500)))) % 0.52/1.00 (assume @p429 (forall (@list @t2 @t8 @t30) (or @t290 (tptp.c_lessequals @t501 @t30 @t2) @t56 @t73))) % 0.52/1.00 (assume @p430 (forall (@list @t64 @t71 @t70 @t16 @t8 @t1 @t2) (or (= (tptp.c_Finite__Set_Ofold__image @t64 @t71 @t70 @t401 @t2 @t1) (tptp.hAPP (tptp.hAPP @t64 @t461) (tptp.c_Finite__Set_Ofold__image @t64 @t71 @t70 @t8 @t2 @t1))) (tptp.hBOOL (tptp.hAPP @t476 @t8)) @t67 @t65))) % 0.52/1.00 (assume @p431 (forall @t216 (or @t437 @t215 @t217))) % 0.52/1.00 (assume @p432 (forall @t504 (or (= @t503 @t4) (not @t502)))) % 0.52/1.00 (assume @p433 (forall (@list @t7 @t84 @t8 @t2) (or (= (tptp.c_HOL_Ominus__class_Ominus @t7 (tptp.c_HOL_Ominus__class_Ominus @t84 @t8 @t3) @t3) @t8) @t226 @t10))) % 0.52/1.00 (assume @p434 (forall @t508 (or @t507 @t506 @t505 @t295))) % 0.52/1.00 (assume @p435 (forall @t508 (or @t507 @t506 @t289 (not @t505)))) % 0.52/1.00 (assume @p436 (forall @t508 (or @t507 @t506 @t509 @t265))) % 0.52/1.00 (assume @p437 (forall @t508 (or @t507 @t506 @t264 (not @t509)))) % 0.52/1.00 (assume @p438 (forall @t15 (or @t14 @t10))) % 0.52/1.00 (assume @p439 (forall (@list @t30 @t8 @t1 @t5 @t2) (or (not (tptp.c_lessequals @t30 @t8 @t11)) (tptp.c_lessequals (tptp.c_Set_Oimage @t5 @t30 @t1 @t2) @t164 @t3)))) % 0.52/1.00 (assume @p440 (forall @t316 (= (tptp.c_Collect (tptp.hAPP @t429 @t16) @t2) @t103))) % 0.52/1.00 (assume @p441 (forall (@list @t16 @t84 @t2 @t381) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t16 @t84 @t2) (tptp.c_Set_Oinsert @t16 @t381 @t2) @t3) (not (tptp.c_lessequals @t84 @t381 @t3))))) % 0.52/1.00 (assume @p442 (forall (@list @t8 @t1 @t5 @t2) (or @t66 (not (tptp.c_Fun_Oinj__on @t5 @t8 @t1 @t2)) (not (tptp.c_Finite__Set_Ofinite @t164 @t2))))) % 0.52/1.00 (assume @p443 (forall @t512 (or @t277 @t511 @t104 @t510))) % 0.52/1.00 (assume @p444 (forall @t512 (or @t277 @t511 @t510 @t104))) % 0.52/1.00 (assume @p445 (forall @t75 (or @t96 @t133 @t10))) % 0.52/1.00 (assume @p446 (forall @t291 (or @t277 @t204 @t264 @t298))) % 0.52/1.00 (assume @p447 (forall @t291 (or @t277 @t264 @t204 @t298))) % 0.52/1.00 (assume @p448 (forall @t75 (or @t133 @t96 @t10))) % 0.52/1.00 (assume @p449 (forall @t436 (or @t277 @t514 @t104 @t513))) % 0.52/1.00 (assume @p450 (forall @t436 (or @t277 @t514 @t513 @t104))) % 0.52/1.00 (assume @p451 (forall @t291 (or @t290 @t204 @t298 @t264))) % 0.52/1.00 (assume @p452 (forall @t291 (or @t290 @t204 @t264 @t298))) % 0.52/1.00 (assume @p453 (forall @t466 (or @t290 (tptp.c_lessequals @t30 @t515 @t2) @t56 @t73))) % 0.52/1.00 (assume @p454 (forall @t166 (= (tptp.c_Set_Oimage @t5 @t279 @t1 @t2) (tptp.hAPP (tptp.hAPP @t85 @t164) @t163)))) % 0.52/1.00 (assume @p455 (forall @t115 (= (tptp.c_Collect (tptp.hAPP @t390 @t8) @t2) @t8))) % 0.52/1.00 (assume @p456 (forall @t466 (or @t108 (tptp.c_lessequals @t30 @t107 @t2) @t56))) % 0.52/1.00 (assume @p457 (forall (@list @t5 @t71 @t2 @t421 @t68 @t69 @t1) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t5 @t71 @t2 @t421 @t68) @t69 @t2 @t68 @t1) (tptp.c_Fun_Ofcomp @t5 (tptp.c_Fun_Ofcomp @t71 @t69 @t421 @t68 @t1) @t2 @t421 @t1)))) % 0.52/1.00 (assume @p458 (forall @t436 (or @t277 @t517 @t516))) % 0.52/1.00 (assume @p459 (forall @t291 (or @t290 @t265 @t274))) % 0.52/1.00 (assume @p460 (forall @t296 (or @t290 @t289 @t297))) % 0.52/1.00 (assume @p461 (forall @t296 (or @t268 @t274 @t265))) % 0.52/1.00 (assume @p462 (forall @t512 (or @t268 @t516 @t517))) % 0.52/1.00 (assume @p463 (forall (@list @t1 @t30 @t8 @t2 @t5) (or @t228 @t518))) % 0.52/1.00 (assume @p464 (forall (@list @t2 @t5 @t30 @t8 @t1) (or @t518 @t228))) % 0.52/1.00 (assume @p465 (forall (@list @t1 @t5 @t30 @t8 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t142 @t154) @t13)) @t56))) % 0.52/1.00 (assume @p466 (forall @t115 (or @t290 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t501) @t8)) @t137 @t73))) % 0.52/1.00 (assume @p467 (forall @t115 (or @t290 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t515) @t8)) @t137 @t73))) % 0.52/1.00 (assume @p468 (forall @t146 (or (= @t346 @t8) @t27))) % 0.52/1.00 (assume @p469 (forall (@list @t5 @t16 @t41 @t2 @t1) (or (= @t200 @t41) (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_Set_Ovimage @t5 (tptp.c_Set_Oinsert @t41 @t230 @t1) @t2 @t1))))))) % 0.52/1.00 (assume @p470 (forall @t504 (or (= @t503 @t57) @t502))) % 0.52/1.00 (assume @p471 (forall (@list @t2 @t8 @t7 @t1) (or @t366 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t142 @t367) @t8))))) % 0.52/1.00 (assume @p472 (forall (@list @t478 @t16 @t5 @t2) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t479 @t16) (tptp.c_Set_Ovimage @t5 (tptp.c_Set_Oinsert @t200 @t57 @t2) @t478 @t2))))) % 0.52/1.00 (assume @p473 (forall @t115 (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t139) @t138))) @t137))) % 0.52/1.00 (assume @p474 (forall (@list @t30 @t306 @t1 @t64 @t2) (or (not (= (tptp.c_Set_Oinsert @t30 @t306 @t1) @t230)) (tptp.hBOOL (tptp.hAPP @t143 @t306)) @t65))) % 0.52/1.00 (assume @p475 (forall (@list @t8 @t7 @t1 @t2) (or @t151 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t142 @t152) @t8))))) % 0.52/1.00 (assume @p476 (forall @t126 (or (= (tptp.c_HOL_Ominus__class_Ominus @t35 @t58 @t3) @t8) @t55))) % 0.52/1.00 (assume @p477 (forall @t193 (or @t192 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t190) @t7))))) % 0.52/1.00 (assume @p478 (forall @t193 (or @t192 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t191) @t8))))) % 0.52/1.00 (assume @p479 (forall @t113 (or @t112 (= (tptp.hAPP (tptp.hAPP @t76 @t305) @t30) @t30)))) % 0.52/1.00 (assume @p480 (forall @t113 (or @t112 (= (tptp.hAPP @t111 @t305) @t30)))) % 0.52/1.00 (assume @p481 (forall @t113 (or @t112 (= (tptp.hAPP (tptp.hAPP @t245 @t305) @t30) @t305)))) % 0.52/1.00 (assume @p482 (forall @t113 (or @t112 (= (tptp.hAPP @t246 @t305) @t305)))) % 0.52/1.00 (assume @p483 (forall @t113 (or (not (tptp.class_Orderings_Obot @t2)) (tptp.c_lessequals @t305 @t30 @t2)))) % 0.52/1.00 (assume @p484 (forall @t193 (or @t112 @t519 (= @t8 @t305)))) % 0.52/1.00 (assume @p485 (forall @t193 (or @t112 @t519 (= @t7 @t305)))) % 0.52/1.00 (assume @p486 (forall @t106 (= (tptp.c_Set_Ovimage @t5 @t230 @t2 @t1) @t57))) % 0.52/1.00 (assume @p487 (forall @t440 (= (tptp.hAPP @t520 @t57) @t57))) % 0.52/1.00 (assume @p488 (forall @t100 (or (not (= @t164 @t57)) @t377))) % 0.52/1.00 (assume @p489 (forall (@list @t50 @t2 @t43 @t49 @t48 @t47 @t46 @t45 @t44) (or (= (tptp.hAPP @t50 @t57) @t43) @t51))) % 0.52/1.00 (assume @p490 (forall (@list @t49 @t2 @t44 @t50 @t48 @t47 @t46 @t45 @t43) (or (= (tptp.hAPP @t49 @t57) @t44) @t51))) % 0.52/1.00 (assume @p491 (forall (@list @t2 @t101 @t30) (or (not (= @t57 @t102)) @t492))) % 0.52/1.00 (assume @p492 (forall (@list @t2 @t482) (tptp.c_Relation_Ototal__on @t57 @t482 @t2))) % 0.52/1.00 (assume @p493 (forall (@list @t5 @t71 @t70 @t1 @t2) (= (tptp.c_Finite__Set_Ofold__image @t5 @t71 @t70 @t230 @t2 @t1) @t70))) % 0.52/1.00 (assume @p494 (forall @t109 (not (= @t57 @t17)))) % 0.52/1.00 (assume @p495 (forall (@list @t5 @t70 @t1 @t2) (= (tptp.c_Finite__Set_Ofold @t5 @t70 @t230 @t1 @t2) @t70))) % 0.52/1.00 (assume @p496 (forall @t440 (tptp.c_lessequals @t57 @t57 @t3))) % 0.52/1.00 (assume @p497 (forall @t140 (or @t137 (not (tptp.c_lessequals @t8 @t57 @t3))))) % 0.52/1.00 (assume @p498 (forall @t524 (or @t523 @t522 @t521))) % 0.52/1.00 (assume @p499 (forall @t524 (or @t523 @t525 @t521))) % 0.52/1.00 (assume @p500 (forall @t524 (or @t523 @t522 @t526))) % 0.52/1.00 (assume @p501 (forall @t524 (or @t523 @t525 @t526))) % 0.52/1.00 (assume @p502 (forall (@list @t101 @t2 @t30) (or (not (= @t102 @t57)) @t492))) % 0.52/1.00 (assume @p503 (forall (@list @t175 @t445) (not (tptp.c_Wellfounded_Omax__extp @t175 @t445 @t528 tptp.t_a)))) % 0.52/1.00 (assume @p504 (forall (@list @t5 @t2 @t30) (not (tptp.c_Finite__Set_Ofold1Set @t5 @t57 @t30 @t2)))) % 0.52/1.00 (assume @p505 (forall @t440 (not (= @t4 @t57)))) % 0.52/1.00 (assume @p506 (forall @t115 (= (tptp.c_HOL_Ominus__class_Ominus @t57 @t8 @t3) @t57))) % 0.52/1.00 (assume @p507 (forall @t115 (= (tptp.hAPP @t90 @t57) @t8))) % 0.52/1.00 (assume @p508 (forall @t114 (= (tptp.hAPP @t520 @t7) @t7))) % 0.52/1.00 (assume @p509 (forall @t140 (not (tptp.c_HOL_Oord__class_Oless @t8 @t57 @t3)))) % 0.52/1.00 (assume @p510 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t8 @t3) @t57))) % 0.52/1.00 (assume @p511 (forall @t140 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t57 @t3) @t8))) % 0.52/1.00 (assume @p512 (forall @t440 (tptp.c_Finite__Set_Ofinite @t57 @t2))) % 0.52/1.00 (assume @p513 (forall (@list @t30 @t70 @t5 @t2 @t1) (or (= @t30 @t70) (not (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t57 @t30 @t2 @t1))))) % 0.52/1.00 (assume @p514 (forall @t115 (= (tptp.hAPP @t123 @t57) @t57))) % 0.52/1.00 (assume @p515 (forall @t114 (= (tptp.hAPP (tptp.hAPP @t122 @t57) @t7) @t57))) % 0.52/1.00 (assume @p516 (forall (@list @t175 @t1 @t2) (= (tptp.c_Relation_OImage @t175 @t230 @t1 @t2) @t57))) % 0.52/1.00 (assume @p517 (forall @t146 (not (= @t17 @t57)))) % 0.52/1.00 (assume @p518 (forall @t115 (tptp.c_lessequals @t57 @t8 @t3))) % 0.52/1.00 (assume @p519 (forall (@list @t2 @t5 @t8 @t1) (or (not (= @t57 @t164)) @t377))) % 0.52/1.00 (assume @p520 (forall (@list @t306 @t30 @t2) (= (tptp.c_Set_Oinsert @t306 @t58 @t2) (tptp.c_Set_Oinsert @t30 (tptp.c_Set_Oinsert @t306 @t57 @t2) @t2)))) % 0.52/1.00 (assume @p521 (forall @t106 (= @t529 @t57))) % 0.52/1.00 (assume @p522 (forall @t262 (tptp.c_Fun_Oinj__on @t5 @t57 @t2 @t1))) % 0.52/1.00 (assume @p523 (forall (@list @t16 @t2 @t41) (or (not (= @t103 @t160)) @t104))) % 0.52/1.00 (assume @p524 (forall @t530 (tptp.c_Finite__Set_Ofold__graph @t5 @t70 @t57 @t70 @t2 @t1))) % 0.52/1.00 (assume @p525 (forall @t530 (tptp.c_Nitpick_Ofold__graph_H @t5 @t70 @t57 @t70 @t2 @t1))) % 0.52/1.00 (assume @p526 (forall @t193 (or @t531 (= @t7 @t57)))) % 0.52/1.00 (assume @p527 (forall @t193 (or @t531 @t137))) % 0.52/1.00 (assume @p528 (forall (@list @t2 @t5 @t1) (= @t57 @t529))) % 0.52/1.00 (assume @p529 (forall (@list @t5 @t71 @t2 @t1) (= (tptp.c_Fun_Ooverride__on @t5 @t71 @t57 @t2 @t1) @t5))) % 0.52/1.00 (assume @p530 (forall @t538 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t532 @t537) @t536) tptp.v_x) (tptp.hAPP @t534 (tptp.hAPP (tptp.hAPP @t532 @t175) @t389))))) % 0.52/1.00 (assume @p531 (forall @t538 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t539 @t537) @t536) tptp.v_x) (tptp.hAPP @t534 (tptp.hAPP (tptp.hAPP @t539 @t175) @t389))))) % 0.52/1.00 (assume @p532 (forall (@list @t186 @t1) (= (tptp.hAPP (tptp.c_Map_Orestrict__map @t186 @t528 tptp.t_a @t1) tptp.v_x) @t185))) % 0.52/1.00 (assume @p533 (forall @t540 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t5 @t71 @t68 @t1 tptp.t_a) tptp.v_x) (tptp.hAPP @t5 @t233)))) % 0.52/1.00 (assume @p534 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.52/1.00 (assume @p535 (forall @t540 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t5 @t71 tptp.t_a @t68 @t1) tptp.v_x) (tptp.hAPP @t71 @t234)))) % 0.52/1.00 (assume @p536 (forall (@list @t170 @t2) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t170 (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun (tptp.tc_Hoare__Mirabelle_Otriple @t2) tptp.tc_bool)) @t2))) % 0.52/1.00 (assume @p537 (forall (@list @t483 @t457 @t2) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t457 @t2) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t484 @t457 @t2))))) % 0.52/1.00 (assume @p538 (forall (@list @t483 @t546 @t404 @t170) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t546 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t546) @t404))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t543) @t170)) @t542))) % 0.52/1.00 (assume @p539 (forall (@list @t483 @t306 @t404) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t306 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t306) @t404))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t484 @t547 tptp.t_a))))) % 0.52/1.00 (assume @p540 (forall (@list @t170 @t404 @t30) (or @t541 (tptp.c_Hoare__Mirabelle_Otriple__valid (tptp.v_sko__Hoare__Mirabelle__Xhoare__valids__def__2 @t170 @t404) @t30 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t548 @t170)))))) % 0.52/1.00 (assume @p541 (forall (@list @t483 @t549 @t404 @t170) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t549 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t549) @t404))) (not (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t543 tptp.t_a)) @t542))) % 0.52/1.00 (assume @p542 (forall @t113 (tptp.hBOOL (tptp.hAPP @t31 @t58)))) % 0.52/1.00 (assume @p543 (forall @t115 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 (tptp.c_ATP__Linkup_Osko__Set__Xex__in__conv__1__1 @t8 @t2)) @t8)) @t137))) % 0.52/1.00 (assume @p544 (forall @t140 (or @t137 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 (tptp.c_ATP__Linkup_Osko__Set__Xall__not__in__conv__1__1 @t8 @t2)) @t8))))) % 0.52/1.00 (assume @p545 (forall @t356 (or @t33 @t56 @t232))) % 0.52/1.00 (assume @p546 (forall (@list @t2 @t8 @t7 @t1 @t30) (or (not @t366) @t550 @t228))) % 0.52/1.00 (assume @p547 (forall (@list @t8 @t7 @t1 @t2 @t30) (or (not @t151) @t550 @t228))) % 0.52/1.00 (assume @p548 (forall @t140 (or @t137 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 (tptp.c_ATP__Linkup_Osko__Set__Xequals0I__1__1 @t8 @t2)) @t8))))) % 0.52/1.00 (assume @p549 (forall (@list @t41 @t16 @t2) (or (= @t41 @t16) (not (tptp.hBOOL (tptp.hAPP @t352 @t103)))))) % 0.52/1.00 (assume @p550 (forall (@list @t30 @t306 @t2) (or (not (= (tptp.c_Set_Oinsert @t30 @t306 @t2) @t57)) (tptp.hBOOL (tptp.hAPP @t31 @t306))))) % 0.52/1.00 (assume @p551 (forall @t440 (or @t108 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t57 @t2) @t305)))) % 0.52/1.00 (assume @p552 (forall (@list @t483 @t30 @t404) (or (tptp.c_Hoare__Mirabelle_Otriple__valid @t483 @t30 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP @t548 @t404))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t547) @t404))))) % 0.52/1.00 (assume @p553 @t552) % 0.52/1.00 (assume @p554 (forall @t553 (or @t260 @t551))) % 0.52/1.00 (assume @p555 (forall (@list @t2 @t144) (not (tptp.hBOOL (tptp.hAPP @t449 @t57))))) % 0.52/1.00 (assume @p556 (forall @t316 (not (tptp.hBOOL (tptp.hAPP @t25 @t57))))) % 0.52/1.00 (assume @p557 (= (tptp.hAPP @t528 tptp.v_x) (tptp.hAPP @t534 @t528))) % 0.52/1.00 (assume @p558 (forall @t113 (not (tptp.hBOOL (tptp.hAPP @t57 @t30))))) % 0.52/1.00 (assume @p559 (forall @t388 (or (not (tptp.class_Orderings_Obot @t1)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t235) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t1))))) % 0.52/1.00 (assume @p560 (forall (@list @t2 @t30 @t389) (or @t555 (not @t554)))) % 0.52/1.00 (assume @p561 (forall (@list @t389 @t30 @t2) (or @t554 (not @t555)))) % 0.52/1.00 (assume @p562 (forall @t553 (or @t492 @t551))) % 0.52/1.00 (assume @p563 @t556) % 0.52/1.00 (assume @p564 (not (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_x tptp.v_xa tptp.t_a))) % 0.52/1.00 (assume @p565 (forall (@list @t557) (or (tptp.c_Hoare__Mirabelle_Otriple__valid tptp.v_x @t557 tptp.t_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t545 @t557) tptp.v_Ga)))))) % 0.52/1.00 (assume @p566 (forall @t561 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t560) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t558))))) % 0.52/1.00 (assume @p567 (forall @t561 (or (tptp.class_Lattices_Oupper__semilattice @t560) @t562))) % 0.52/1.00 (assume @p568 (forall @t561 (or (tptp.class_Lattices_Olower__semilattice @t560) @t562))) % 0.52/1.00 (assume @p569 (forall @t561 (or (tptp.class_Lattices_Odistrib__lattice @t560) (not (tptp.class_Lattices_Odistrib__lattice @t558))))) % 0.52/1.00 (assume @p570 (forall @t561 (or (tptp.class_Lattices_Obounded__lattice @t560) (not (tptp.class_Lattices_Obounded__lattice @t558))))) % 0.52/1.00 (assume @p571 (forall @t561 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t560) @t563 (not (tptp.class_Finite__Set_Ofinite_Ofinite @t559))))) % 0.52/1.00 (assume @p572 (forall @t561 (or (tptp.class_Orderings_Opreorder @t560) (not (tptp.class_Orderings_Opreorder @t558))))) % 0.52/1.00 (assume @p573 (forall @t561 (or (tptp.class_Lattices_Olattice @t560) @t562))) % 0.52/1.00 (assume @p574 (forall @t561 (or (tptp.class_Orderings_Oorder @t560) (not (tptp.class_Orderings_Oorder @t558))))) % 0.52/1.00 (assume @p575 (forall @t561 (or (tptp.class_Orderings_Otop @t560) (not (tptp.class_Orderings_Otop @t558))))) % 0.52/1.00 (assume @p576 (forall @t561 (or (tptp.class_Orderings_Obot @t560) (not (tptp.class_Orderings_Obot @t558))))) % 0.52/1.00 (assume @p577 (forall @t561 (or (tptp.class_HOL_Ominus @t560) (not (tptp.class_HOL_Ominus @t558))))) % 0.52/1.00 (assume @p578 (forall @t561 (or (tptp.class_HOL_Oord @t560) (not (tptp.class_HOL_Oord @t558))))) % 0.52/1.00 (assume @p579 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.52/1.00 (assume @p580 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.52/1.00 (assume @p581 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.52/1.00 (assume @p582 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.52/1.00 (assume @p583 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.52/1.00 (assume @p584 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.52/1.00 (assume @p585 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.52/1.00 (assume @p586 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.52/1.00 (assume @p587 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.52/1.00 (assume @p588 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.52/1.00 (assume @p589 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.52/1.00 (assume @p590 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.52/1.00 (assume @p591 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.52/1.00 (assume @p592 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.52/1.00 (assume @p593 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.52/1.00 (assume @p594 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.52/1.00 (assume @p595 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.52/1.00 (assume @p596 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.52/1.00 (assume @p597 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.52/1.00 (assume @p598 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.52/1.00 (assume @p599 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.52/1.00 (assume @p600 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.52/1.00 (assume @p601 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.52/1.00 (assume @p602 (forall (@list @t558) (or (tptp.class_Finite__Set_Ofinite_Ofinite (tptp.tc_Option_Ooption @t558)) @t563))) % 0.52/1.00 (assume @p603 (forall @t113 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 @t30) @t30)))) % 0.52/1.00 (assume @p604 (forall (@list @t564 @t432 @t2) (or (= @t564 @t432) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 @t564) @t432)))))) % 0.52/1.00 (assume-push @p611 @t552) % 0.52/1.00 (step @p606 :rule instantiate :premises (@p553) :args ((@list @t544 tptp.v_xa))) % 0.52/1.00 (step-pop @p612 :rule scope :premises (@p606)) % 0.52/1.00 (step @p607 :rule process_scope :premises (@p612) :args ((not @t556))) % 0.52/1.00 (step @p609 :rule implies_elim :premises (@p607)) % 0.52/1.00 (step @p610 false :rule chain_m_resolution :premises (@p609 @p563 @p553) :args (false (@list false false) (@list @t556 @t552))) % 0.52/1.00 ) % 0.52/1.00 % SZS output end Proof % 0.52/1.00 % cvc5 exiting %------------------------------------------------------------------------------