%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV842-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:29 AM UTC 2026 % Result : Unsatisfiable 0.49s 0.99s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV842-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:16:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.49/0.99 % SZS status Unsatisfiable % 0.49/0.99 % SZS output start Proof % 0.49/1.01 ( % 0.49/1.01 (declare-sort $$unsorted 0) % 0.49/1.01 (declare-const tptp.v_Q_H $$unsorted) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Not $$unsorted) % 0.49/1.01 (declare-const tptp.c_Hoare__Mirabelle_Opeek__and (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_P $$unsorted) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.tc_Com_Ostate $$unsorted) % 0.49/1.01 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_List_Osko__List__Xfoldl__apply__inv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.t_b $$unsorted) % 0.49/1.01 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Com_Ocom_OCond (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.tc_nat $$unsorted) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_G $$unsorted) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.tc_Com_Ocom $$unsorted) % 0.49/1.01 (declare-const tptp.tc_Hoare__Mirabelle_Otriple (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 0.49/1.01 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_x $$unsorted) % 0.49/1.01 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_P_H $$unsorted) % 0.49/1.01 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Com_Ocom_OWhile (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_Q $$unsorted) % 0.49/1.01 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.t_c $$unsorted) % 0.49/1.01 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.tc_bool $$unsorted) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Ofold__graph (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xescape__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_R $$unsorted) % 0.49/1.01 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.t_a $$unsorted) % 0.49/1.01 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.v_c0 $$unsorted) % 0.49/1.01 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_Hoare__Mirabelle_Ohoare__derivs (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.49/1.01 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.49/1.01 (define @t1 () (@var "V_x" $$unsorted)) % 0.49/1.01 (define @t2 () (@var "V_y" $$unsorted)) % 0.49/1.01 (define @t3 () (@var "T_a" $$unsorted)) % 0.49/1.01 (define @t4 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3)) % 0.49/1.01 (define @t5 () (tptp.hAPP @t4 @t1)) % 0.49/1.01 (define @t6 () (tptp.hAPP @t5 @t2)) % 0.49/1.01 (define @t7 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3)) % 0.49/1.01 (define @t8 () (tptp.hAPP @t7 @t1)) % 0.49/1.01 (define @t9 () (not (tptp.class_Lattices_Olattice @t3))) % 0.49/1.01 (define @t10 () (@list @t3 @t1 @t2)) % 0.49/1.01 (define @t11 () (tptp.c_HOL_Oord__class_Oless @t3)) % 0.49/1.01 (define @t12 () (tptp.hAPP @t11 @t1)) % 0.49/1.01 (define @t13 () (tptp.hBOOL (tptp.hAPP @t12 @t1))) % 0.49/1.01 (define @t14 () (not @t13)) % 0.49/1.01 (define @t15 () (not (tptp.class_Orderings_Opreorder @t3))) % 0.49/1.01 (define @t16 () (@list @t3 @t1)) % 0.49/1.01 (define @t17 () (not (tptp.class_Orderings_Olinorder @t3))) % 0.49/1.01 (define @t18 () (not (tptp.class_Orderings_Oorder @t3))) % 0.49/1.01 (define @t19 () (@var "V_g" $$unsorted)) % 0.49/1.01 (define @t20 () (@var "V_f" $$unsorted)) % 0.49/1.01 (define @t21 () (@var "T_b" $$unsorted)) % 0.49/1.01 (define @t22 () (tptp.tc_fun @t3 @t21)) % 0.49/1.01 (define @t23 () (tptp.c_lessequals @t22)) % 0.49/1.01 (define @t24 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t20) @t19))) % 0.49/1.01 (define @t25 () (not @t24)) % 0.49/1.01 (define @t26 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t23 @t19) @t20))) % 0.49/1.01 (define @t27 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oord__class_Oless @t22) @t20) @t19))) % 0.49/1.01 (define @t28 () (not (tptp.class_HOL_Oord @t21))) % 0.49/1.01 (define @t29 () (@list @t21 @t3 @t20 @t19)) % 0.49/1.01 (define @t30 () (tptp.tc_fun @t3 tptp.tc_bool)) % 0.49/1.01 (define @t31 () (tptp.c_HOL_Oord__class_Oless @t30)) % 0.49/1.01 (define @t32 () (@var "V_a" $$unsorted)) % 0.49/1.01 (define @t33 () (@var "V_c" $$unsorted)) % 0.49/1.01 (define @t34 () (tptp.c_lessequals @t3)) % 0.49/1.01 (define @t35 () (tptp.hAPP @t34 @t33)) % 0.49/1.01 (define @t36 () (tptp.hBOOL (tptp.hAPP @t35 @t32))) % 0.49/1.01 (define @t37 () (not @t36)) % 0.49/1.01 (define @t38 () (@var "V_d" $$unsorted)) % 0.49/1.01 (define @t39 () (@var "V_b" $$unsorted)) % 0.49/1.01 (define @t40 () (tptp.hAPP @t34 @t39)) % 0.49/1.01 (define @t41 () (tptp.hBOOL (tptp.hAPP @t40 @t38))) % 0.49/1.01 (define @t42 () (not @t41)) % 0.49/1.01 (define @t43 () (tptp.hAPP @t11 @t39)) % 0.49/1.01 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t38))) % 0.49/1.01 (define @t45 () (tptp.hBOOL (tptp.hAPP @t35 @t38))) % 0.49/1.01 (define @t46 () (not @t45)) % 0.49/1.01 (define @t47 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t33 @t38 @t3)) % 0.49/1.01 (define @t48 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t32 @t39 @t3)) % 0.49/1.01 (define @t49 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t48) @t47))) % 0.49/1.01 (define @t50 () (@list @t3 @t32 @t39 @t33 @t38)) % 0.49/1.01 (define @t51 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 @t33) @t32))) % 0.49/1.01 (define @t52 () (= @t1 @t2)) % 0.49/1.01 (define @t53 () (tptp.hBOOL (tptp.hAPP @t12 @t2))) % 0.49/1.01 (define @t54 () (tptp.hAPP @t11 @t2)) % 0.49/1.01 (define @t55 () (tptp.hBOOL (tptp.hAPP @t54 @t1))) % 0.49/1.01 (define @t56 () (@list @t3 @t2 @t1)) % 0.49/1.01 (define @t57 () (tptp.hAPP @t8 @t2)) % 0.49/1.01 (define @t58 () (tptp.hAPP @t4 @t32)) % 0.49/1.01 (define @t59 () (tptp.hAPP @t58 @t39)) % 0.49/1.01 (define @t60 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 @t59) @t1))) % 0.49/1.01 (define @t61 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 0.49/1.01 (define @t62 () (@list @t3 @t32 @t39 @t1)) % 0.49/1.01 (define @t63 () (tptp.hAPP @t11 @t32)) % 0.49/1.01 (define @t64 () (@var "V_B" $$unsorted)) % 0.49/1.01 (define @t65 () (@var "V_A" $$unsorted)) % 0.49/1.01 (define @t66 () (tptp.hAPP @t31 @t65)) % 0.49/1.01 (define @t67 () (tptp.hBOOL (tptp.hAPP @t66 @t64))) % 0.49/1.01 (define @t68 () (not @t67)) % 0.49/1.01 (define @t69 () (tptp.c_lessequals @t30)) % 0.49/1.01 (define @t70 () (tptp.hAPP @t69 @t65)) % 0.49/1.01 (define @t71 () (tptp.hBOOL (tptp.hAPP @t70 @t64))) % 0.49/1.01 (define @t72 () (@list @t3 @t65 @t64)) % 0.49/1.01 (define @t73 () (not @t27)) % 0.49/1.01 (define @t74 () (not @t53)) % 0.49/1.01 (define @t75 () (tptp.hAPP @t34 @t1)) % 0.49/1.01 (define @t76 () (tptp.hBOOL (tptp.hAPP @t75 @t2))) % 0.49/1.01 (define @t77 () (tptp.hAPP @t20 @t1)) % 0.49/1.01 (define @t78 () (@list @t20 @t1 @t21 @t3)) % 0.49/1.01 (define @t79 () (tptp.c_Fun_Ofun__upd @t20 @t1 @t2 @t21 @t3)) % 0.49/1.01 (define @t80 () (@var "T_aa" $$unsorted)) % 0.49/1.01 (define @t81 () (tptp.hAPP @t34 @t6)) % 0.49/1.01 (define @t82 () (tptp.hBOOL (tptp.hAPP @t81 @t1))) % 0.49/1.01 (define @t83 () (tptp.hBOOL (tptp.hAPP @t81 @t2))) % 0.49/1.01 (define @t84 () (not @t76)) % 0.49/1.01 (define @t85 () (@var "V_z" $$unsorted)) % 0.49/1.01 (define @t86 () (tptp.hBOOL (tptp.hAPP @t75 @t85))) % 0.49/1.01 (define @t87 () (not @t86)) % 0.49/1.01 (define @t88 () (tptp.hAPP @t4 @t2)) % 0.49/1.01 (define @t89 () (tptp.hAPP @t88 @t85)) % 0.49/1.01 (define @t90 () (tptp.hBOOL (tptp.hAPP @t75 @t89))) % 0.49/1.01 (define @t91 () (@list @t3 @t1 @t2 @t85)) % 0.49/1.01 (define @t92 () (tptp.hBOOL (tptp.hAPP @t75 @t32))) % 0.49/1.01 (define @t93 () (not @t92)) % 0.49/1.01 (define @t94 () (tptp.hBOOL (tptp.hAPP @t75 @t39))) % 0.49/1.01 (define @t95 () (not @t94)) % 0.49/1.01 (define @t96 () (tptp.hBOOL (tptp.hAPP @t75 @t59))) % 0.49/1.01 (define @t97 () (@list @t3 @t1 @t32 @t39)) % 0.49/1.01 (define @t98 () (tptp.c_Fun_Oinj__on @t20 @t65 @t3 @t21)) % 0.49/1.01 (define @t99 () (not @t98)) % 0.49/1.01 (define @t100 () (tptp.c_Set_Oimage @t20 @t65 @t3 @t21)) % 0.49/1.01 (define @t101 () (tptp.c_Fun_Ofun__upd @t20 @t1 @t2 @t3 @t21)) % 0.49/1.01 (define @t102 () (tptp.hAPP @t7 @t2)) % 0.49/1.01 (define @t103 () (tptp.hAPP @t102 @t1)) % 0.49/1.01 (define @t104 () (not (tptp.class_Lattices_Odistrib__lattice @t3))) % 0.49/1.01 (define @t105 () (@list @t3 @t2 @t85 @t1)) % 0.49/1.01 (define @t106 () (tptp.hAPP @t8 @t85)) % 0.49/1.01 (define @t107 () (tptp.hAPP (tptp.hAPP @t4 @t57) @t106)) % 0.49/1.01 (define @t108 () (tptp.hAPP @t8 @t89)) % 0.49/1.01 (define @t109 () (= (tptp.hAPP @t5 @t6) @t6)) % 0.49/1.01 (define @t110 () (@var "V_xs" $$unsorted)) % 0.49/1.01 (define @t111 () (tptp.c_List_Oset @t110 @t3)) % 0.49/1.01 (define @t112 () (tptp.c_Orderings_Otop__class_Otop @t30)) % 0.49/1.01 (define @t113 () (not (tptp.class_Finite__Set_Ofinite_Ofinite @t3))) % 0.49/1.01 (define @t114 () (@list @t3)) % 0.49/1.01 (define @t115 () (not @t55)) % 0.49/1.01 (define @t116 () (tptp.hAPP @t34 @t85)) % 0.49/1.01 (define @t117 () (not (tptp.hBOOL (tptp.hAPP @t116 @t2)))) % 0.49/1.01 (define @t118 () (tptp.hAPP @t11 @t85)) % 0.49/1.01 (define @t119 () (tptp.hBOOL (tptp.hAPP @t118 @t1))) % 0.49/1.01 (define @t120 () (@list @t3 @t85 @t1 @t2)) % 0.49/1.01 (define @t121 () (tptp.hAPP @t34 @t2)) % 0.49/1.01 (define @t122 () (tptp.hBOOL (tptp.hAPP @t121 @t1))) % 0.49/1.01 (define @t123 () (not @t122)) % 0.49/1.01 (define @t124 () (not (tptp.hBOOL (tptp.hAPP @t118 @t2)))) % 0.49/1.01 (define @t125 () (tptp.c_Fun_Oinj__on @t20 @t64 @t3 @t21)) % 0.49/1.01 (define @t126 () (not @t125)) % 0.49/1.01 (define @t127 () (not @t71)) % 0.49/1.01 (define @t128 () (@list @t20 @t65 @t3 @t21 @t64)) % 0.49/1.01 (define @t129 () (not (tptp.c_Finite__Set_Ofinite @t64 @t3))) % 0.49/1.01 (define @t130 () (tptp.c_Finite__Set_Ofinite @t65 @t3)) % 0.49/1.01 (define @t131 () (@list @t65 @t3 @t64)) % 0.49/1.01 (define @t132 () (@var "V_C" $$unsorted)) % 0.49/1.01 (define @t133 () (tptp.hAPP @t69 @t64)) % 0.49/1.01 (define @t134 () (tptp.hBOOL (tptp.hAPP @t133 @t132))) % 0.49/1.01 (define @t135 () (not @t134)) % 0.49/1.01 (define @t136 () (tptp.hBOOL (tptp.hAPP @t66 @t132))) % 0.49/1.01 (define @t137 () (@list @t3 @t65 @t132 @t64)) % 0.49/1.01 (define @t138 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t64) @t132)))) % 0.49/1.01 (define @t139 () (not (tptp.hBOOL (tptp.hAPP @t54 @t85)))) % 0.49/1.01 (define @t140 () (tptp.hBOOL (tptp.hAPP @t12 @t85))) % 0.49/1.01 (define @t141 () (@list @t3 @t1 @t85 @t2)) % 0.49/1.01 (define @t142 () (tptp.hBOOL (tptp.hAPP @t121 @t85))) % 0.49/1.01 (define @t143 () (not @t142)) % 0.49/1.01 (define @t144 () (tptp.hBOOL (tptp.hAPP @t63 @t39))) % 0.49/1.01 (define @t145 () (tptp.c_Orderings_Obot__class_Obot @t30)) % 0.49/1.01 (define @t146 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t32 @t39 @t3)) % 0.49/1.01 (define @t147 () (= @t146 @t145)) % 0.49/1.01 (define @t148 () (@list @t3 @t32 @t39)) % 0.49/1.01 (define @t149 () (not @t144)) % 0.49/1.01 (define @t150 () (@var "V_l" $$unsorted)) % 0.49/1.01 (define @t151 () (@var "V_k" $$unsorted)) % 0.49/1.01 (define @t152 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 @t151) @t150))) % 0.49/1.01 (define @t153 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t151 @t150 @t3)) % 0.49/1.01 (define @t154 () (= @t145 @t153)) % 0.49/1.01 (define @t155 () (@list @t3 @t151 @t150)) % 0.49/1.01 (define @t156 () (not @t152)) % 0.49/1.01 (define @t157 () (= @t85 @t1)) % 0.49/1.01 (define @t158 () (tptp.hAPP @t20 @t85)) % 0.49/1.01 (define @t159 () (@list @t20 @t1 @t2 @t3 @t21 @t85)) % 0.49/1.01 (define @t160 () (@var "V_y_H" $$unsorted)) % 0.49/1.01 (define @t161 () (@var "V_x_H" $$unsorted)) % 0.49/1.01 (define @t162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t11 @t161) @t160))) % 0.49/1.01 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t3)) % 0.49/1.01 (define @t164 () (tptp.hAPP (tptp.hAPP @t163 @t161) @t160)) % 0.49/1.01 (define @t165 () (tptp.hAPP @t163 @t1)) % 0.49/1.01 (define @t166 () (not (= (tptp.hAPP @t165 @t2) @t164))) % 0.49/1.01 (define @t167 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t3))) % 0.49/1.01 (define @t168 () (@list @t3 @t1 @t2 @t161 @t160)) % 0.49/1.01 (define @t169 () (tptp.c_Set_Oimage @t20 @t65 @t21 @t3)) % 0.49/1.01 (define @t170 () (tptp.hBOOL (tptp.hAPP @t40 @t32))) % 0.49/1.01 (define @t171 () (not @t170)) % 0.49/1.01 (define @t172 () (= @t32 @t39)) % 0.49/1.01 (define @t173 () (tptp.hBOOL (tptp.hAPP @t43 @t32))) % 0.49/1.01 (define @t174 () (@list @t3 @t39 @t32)) % 0.49/1.01 (define @t175 () (= @t65 @t64)) % 0.49/1.01 (define @t176 () (@list @t65 @t64 @t3)) % 0.49/1.01 (define @t177 () (tptp.hAPP @t34 @t32)) % 0.49/1.01 (define @t178 () (tptp.hBOOL (tptp.hAPP @t177 @t39))) % 0.49/1.01 (define @t179 () (not @t178)) % 0.49/1.01 (define @t180 () (not @t173)) % 0.49/1.01 (define @t181 () (not @t130)) % 0.49/1.01 (define @t182 () (tptp.hBOOL (tptp.c_in @t32 @t65 @t3))) % 0.49/1.01 (define @t183 () (not @t182)) % 0.49/1.01 (define @t184 () (tptp.c_Finite__Set_Ofold1 @t4 @t65 @t3)) % 0.49/1.01 (define @t185 () (not (tptp.hBOOL (tptp.hAPP @t133 @t65)))) % 0.49/1.01 (define @t186 () (tptp.c_Finite__Set_Osetsum @t20 @t65 @t3 @t21)) % 0.49/1.01 (define @t187 () (tptp.c_HOL_Ominus__class_Ominus @t21)) % 0.49/1.01 (define @t188 () (tptp.hAPP @t187 @t186)) % 0.49/1.01 (define @t189 () (tptp.c_HOL_Ominus__class_Ominus @t30)) % 0.49/1.01 (define @t190 () (tptp.hAPP @t189 @t65)) % 0.49/1.01 (define @t191 () (tptp.hAPP @t190 @t64)) % 0.49/1.01 (define @t192 () (not (tptp.class_OrderedGroup_Oab__group__add @t21))) % 0.49/1.01 (define @t193 () (tptp.c_Orderings_Otop__class_Otop @t3)) % 0.49/1.01 (define @t194 () (tptp.c_Complete__Lattice_OInf__class_OInf @t3)) % 0.49/1.01 (define @t195 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t3))) % 0.49/1.01 (define @t196 () (@list @t3 @t110)) % 0.49/1.01 (define @t197 () (tptp.hAPP @t34 @t150)) % 0.49/1.01 (define @t198 () (= @t153 @t145)) % 0.49/1.01 (define @t199 () (tptp.hBOOL (tptp.c_in @t1 @t65 @t3))) % 0.49/1.01 (define @t200 () (tptp.hAPP @t77 @t2)) % 0.49/1.01 (define @t201 () (tptp.c_Set_Oinsert @t1 @t65 @t3)) % 0.49/1.01 (define @t202 () (tptp.c_Set_Oinsert @t1 @t64 @t3)) % 0.49/1.01 (define @t203 () (tptp.hBOOL (tptp.hAPP @t66 @t202))) % 0.49/1.01 (define @t204 () (not @t203)) % 0.49/1.01 (define @t205 () (tptp.hBOOL (tptp.c_in @t1 @t64 @t3))) % 0.49/1.01 (define @t206 () (not @t205)) % 0.49/1.01 (define @t207 () (@list @t3 @t65 @t64 @t1)) % 0.49/1.01 (define @t208 () (@list @t3 @t65 @t1 @t64)) % 0.49/1.01 (define @t209 () (tptp.hAPP @t102 @t85)) % 0.49/1.01 (define @t210 () (tptp.hAPP @t5 @t209)) % 0.49/1.01 (define @t211 () (tptp.hAPP @t5 @t85)) % 0.49/1.01 (define @t212 () (tptp.hAPP (tptp.hAPP @t7 @t6) @t211)) % 0.49/1.01 (define @t213 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t146) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t33 @t38 @t3))))) % 0.49/1.01 (define @t214 () (@list @t3 @t39 @t38 @t32 @t33)) % 0.49/1.01 (define @t215 () (@list @t3 @t33 @t32 @t39 @t38)) % 0.49/1.01 (define @t216 () (tptp.hBOOL (tptp.c_in @t1 @t65 @t21))) % 0.49/1.01 (define @t217 () (tptp.c_Set_Oimage @t79 @t65 @t21 @t3)) % 0.49/1.01 (define @t218 () (@list @t20 @t1 @t2 @t21 @t3 @t65)) % 0.49/1.01 (define @t219 () (not @t49)) % 0.49/1.01 (define @t220 () (@var "V_m" $$unsorted)) % 0.49/1.01 (define @t221 () (not (tptp.hBOOL (tptp.hAPP @t197 @t220)))) % 0.49/1.01 (define @t222 () (@var "V_u" $$unsorted)) % 0.49/1.01 (define @t223 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t220) @t222)))) % 0.49/1.01 (define @t224 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t150 @t222 @t3)) % 0.49/1.01 (define @t225 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t220 @t222 @t3)) % 0.49/1.01 (define @t226 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t30)) % 0.49/1.01 (define @t227 () (@list @t3 @t150 @t220 @t222)) % 0.49/1.01 (define @t228 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t150 @t222 @t3)) % 0.49/1.01 (define @t229 () (tptp.hAPP @t226 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t150 @t220 @t3))) % 0.49/1.01 (define @t230 () (tptp.tc_fun @t21 tptp.tc_bool)) % 0.49/1.01 (define @t231 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 @t64 @t3 @t230)) % 0.49/1.01 (define @t232 () (not @t199)) % 0.49/1.01 (define @t233 () (tptp.hAPP @t64 @t1)) % 0.49/1.01 (define @t234 () (tptp.c_Set_Oinsert @t32 @t145 @t3)) % 0.49/1.01 (define @t235 () (tptp.hAPP @t190 @t234)) % 0.49/1.01 (define @t236 () (tptp.c_Finite__Set_Osetsum @t20 @t235 @t3 @t21)) % 0.49/1.01 (define @t237 () (@list @t21 @t20 @t3 @t65 @t32)) % 0.49/1.01 (define @t238 () (= @t65 @t145)) % 0.49/1.01 (define @t239 () (@var "V_xa" $$unsorted)) % 0.49/1.01 (define @t240 () (not (tptp.hBOOL (tptp.c_in @t239 @t65 @t3)))) % 0.49/1.01 (define @t241 () (@var "V_n" $$unsorted)) % 0.49/1.01 (define @t242 () (@var "V_i" $$unsorted)) % 0.49/1.01 (define @t243 () (= @t48 @t145)) % 0.49/1.01 (define @t244 () (tptp.c_lessequals @t230)) % 0.49/1.01 (define @t245 () (tptp.hAPP @t226 @t65)) % 0.49/1.01 (define @t246 () (tptp.hAPP @t245 @t64)) % 0.49/1.01 (define @t247 () (not (tptp.c_Fun_Oinj__on @t20 @t246 @t3 @t21))) % 0.49/1.01 (define @t248 () (tptp.c_Set_Oimage @t20 @t64 @t3 @t21)) % 0.49/1.01 (define @t249 () (not (= @t100 @t248))) % 0.49/1.01 (define @t250 () (not (tptp.c_Fun_Oinj__on @t20 @t112 @t3 @t21))) % 0.49/1.01 (define @t251 () (tptp.c_Set_Oinsert @t32 @t64 @t3)) % 0.49/1.01 (define @t252 () (tptp.hAPP @t190 @t251)) % 0.49/1.01 (define @t253 () (tptp.c_Finite__Set_Ofinite @t252 @t3)) % 0.49/1.01 (define @t254 () (tptp.c_Finite__Set_Ofinite @t191 @t3)) % 0.49/1.01 (define @t255 () (not @t254)) % 0.49/1.01 (define @t256 () (@list @t3 @t65 @t32 @t64)) % 0.49/1.01 (define @t257 () (@var "T_c" $$unsorted)) % 0.49/1.01 (define @t258 () (tptp.hAPP @t194 @t65)) % 0.49/1.01 (define @t259 () (tptp.c_Set_Oinsert @t32 @t65 @t3)) % 0.49/1.01 (define @t260 () (@list @t3 @t32 @t65)) % 0.49/1.01 (define @t261 () (@var "V_top" $$unsorted)) % 0.49/1.01 (define @t262 () (@var "V_bot" $$unsorted)) % 0.49/1.01 (define @t263 () (@var "V_sup" $$unsorted)) % 0.49/1.01 (define @t264 () (@var "V_inf" $$unsorted)) % 0.49/1.01 (define @t265 () (@var "V_less" $$unsorted)) % 0.49/1.01 (define @t266 () (@var "V_less__eq" $$unsorted)) % 0.49/1.01 (define @t267 () (@var "V_Sup" $$unsorted)) % 0.49/1.01 (define @t268 () (@var "V_Inf" $$unsorted)) % 0.49/1.01 (define @t269 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t3))) % 0.49/1.01 (define @t270 () (not (tptp.class_Lattices_Obounded__lattice @t3))) % 0.49/1.01 (define @t271 () (not (= (tptp.hAPP (tptp.hAPP @t4 @t65) @t64) @t193))) % 0.49/1.01 (define @t272 () (@var "V_G" $$unsorted)) % 0.49/1.01 (define @t273 () (@var "V_F" $$unsorted)) % 0.49/1.01 (define @t274 () (tptp.c_Finite__Set_Ofinite (tptp.hAPP (tptp.hAPP @t226 @t273) @t272) @t3)) % 0.49/1.01 (define @t275 () (not @t274)) % 0.49/1.01 (define @t276 () (tptp.c_Finite__Set_Ofinite @t272 @t3)) % 0.49/1.01 (define @t277 () (tptp.c_Finite__Set_Ofinite @t273 @t3)) % 0.49/1.01 (define @t278 () (tptp.hAPP @t5 @t89)) % 0.49/1.01 (define @t279 () (= (tptp.hAPP (tptp.hAPP @t4 @t6) @t85) @t278)) % 0.49/1.01 (define @t280 () (= @t278 (tptp.hAPP @t88 @t211))) % 0.49/1.01 (define @t281 () (tptp.c_Set_Oimage @t20 @t65 @t3 @t3)) % 0.49/1.01 (define @t282 () (tptp.c_Fun_Oinj__on @t20 @t65 @t3 @t3)) % 0.49/1.01 (define @t283 () (@list @t20 @t65 @t3)) % 0.49/1.01 (define @t284 () (tptp.hAPP @t20 @t2)) % 0.49/1.01 (define @t285 () (not (= @t77 @t284))) % 0.49/1.01 (define @t286 () (@list @t20 @t1 @t2 @t3 @t21)) % 0.49/1.01 (define @t287 () (= @t32 @t33)) % 0.49/1.01 (define @t288 () (not @t277)) % 0.49/1.01 (define @t289 () (tptp.c_COMBI @t3)) % 0.49/1.01 (define @t290 () (@list @t3 @t65)) % 0.49/1.01 (define @t291 () (@list @t20 @t3 @t65 @t64 @t21)) % 0.49/1.01 (define @t292 () (tptp.hAPP @t88 @t1)) % 0.49/1.01 (define @t293 () (tptp.hBOOL (tptp.c_in @t33 @t65 @t3))) % 0.49/1.01 (define @t294 () (not @t293)) % 0.49/1.01 (define @t295 () (tptp.hBOOL (tptp.c_in @t33 @t64 @t3))) % 0.49/1.01 (define @t296 () (@list @t33 @t64 @t3 @t65)) % 0.49/1.01 (define @t297 () (tptp.hBOOL (tptp.hAPP @t75 @t1))) % 0.49/1.01 (define @t298 () (not (tptp.hBOOL (tptp.c_in @t2 @t65 @t3)))) % 0.49/1.01 (define @t299 () (@list @t20 @t1 @t2 @t65 @t3 @t21)) % 0.49/1.01 (define @t300 () (= @t6 @t1)) % 0.49/1.01 (define @t301 () (= @t6 @t292)) % 0.49/1.01 (define @t302 () (not @t96)) % 0.49/1.01 (define @t303 () (tptp.hBOOL (tptp.hAPP @t177 @t1))) % 0.49/1.01 (define @t304 () (not @t303)) % 0.49/1.01 (define @t305 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t59) @t1))) % 0.49/1.01 (define @t306 () (tptp.hBOOL (tptp.hAPP @t40 @t1))) % 0.49/1.01 (define @t307 () (not @t306)) % 0.49/1.01 (define @t308 () (not @t90)) % 0.49/1.01 (define @t309 () (= @t145 @t146)) % 0.49/1.01 (define @t310 () (@var "V_h" $$unsorted)) % 0.49/1.01 (define @t311 () (tptp.hAPP @t7 @t32)) % 0.49/1.01 (define @t312 () (tptp.hAPP @t311 @t39)) % 0.49/1.01 (define @t313 () (tptp.hBOOL (tptp.hAPP @t12 @t312))) % 0.49/1.01 (define @t314 () (not (tptp.class_Lattices_Oupper__semilattice @t3))) % 0.49/1.01 (define @t315 () (tptp.c_Orderings_Obot__class_Obot @t3)) % 0.49/1.01 (define @t316 () (@list @t20 @t85 @t3 @t21)) % 0.49/1.01 (define @t317 () (tptp.c_Finite__Set_Ofinite @t259 @t3)) % 0.49/1.01 (define @t318 () (@list @t32 @t65 @t3)) % 0.49/1.01 (define @t319 () (tptp.c_Fun_Oinj__on @t20 @t259 @t3 @t21)) % 0.49/1.01 (define @t320 () (not @t319)) % 0.49/1.01 (define @t321 () (tptp.hAPP @t20 @t32)) % 0.49/1.01 (define @t322 () (= @t236 (tptp.hAPP @t188 @t321))) % 0.49/1.01 (define @t323 () (tptp.tc_fun @t3 @t3)) % 0.49/1.01 (define @t324 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 0.49/1.01 (define @t325 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t150 @t222 @t3)) % 0.49/1.01 (define @t326 () (tptp.hBOOL (tptp.c_in @t321 @t100 @t21))) % 0.49/1.01 (define @t327 () (@list @t20 @t32 @t65 @t3 @t21)) % 0.49/1.01 (define @t328 () (tptp.c_Orderings_Otop__class_Otop @t230)) % 0.49/1.01 (define @t329 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t100) @t248))) % 0.49/1.01 (define @t330 () (@list @t21 @t20 @t65 @t3 @t64)) % 0.49/1.01 (define @t331 () (tptp.hBOOL (tptp.hAPP @t70 @t132))) % 0.49/1.01 (define @t332 () (not @t331)) % 0.49/1.01 (define @t333 () (tptp.c_HOL_Ominus__class_Ominus @t230)) % 0.49/1.01 (define @t334 () (= (tptp.c_Set_Oimage @t20 @t191 @t3 @t21) (tptp.hAPP (tptp.hAPP @t333 @t100) @t248))) % 0.49/1.01 (define @t335 () (tptp.c_Set_Oinsert @t39 @t145 @t3)) % 0.49/1.01 (define @t336 () (tptp.c_Set_Oinsert @t32 @t335 @t3)) % 0.49/1.01 (define @t337 () (tptp.c_Finite__Set_Olinorder__class_OMax @t65 @t3)) % 0.49/1.01 (define @t338 () (@list @t3 @t1 @t65)) % 0.49/1.01 (define @t339 () (tptp.c_Finite__Set_Olinorder__class_OMin @t65 @t3)) % 0.49/1.01 (define @t340 () (@list @t3 @t65 @t1)) % 0.49/1.01 (define @t341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t57) @t85))) % 0.49/1.01 (define @t342 () (tptp.hBOOL (tptp.hAPP @t116 @t1))) % 0.49/1.01 (define @t343 () (tptp.hBOOL (tptp.hAPP @t121 @t57))) % 0.49/1.01 (define @t344 () (tptp.hBOOL (tptp.hAPP @t75 @t57))) % 0.49/1.01 (define @t345 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t312) @t1))) % 0.49/1.01 (define @t346 () (tptp.hAPP @t69 @t246)) % 0.49/1.01 (define @t347 () (tptp.hBOOL (tptp.hAPP @t346 @t132))) % 0.49/1.01 (define @t348 () (@list @t3 @t65 @t64 @t132)) % 0.49/1.01 (define @t349 () (@list @t3 @t64 @t65)) % 0.49/1.01 (define @t350 () (tptp.hAPP @t8 @t209)) % 0.49/1.01 (define @t351 () (= (tptp.hAPP (tptp.hAPP @t7 @t57) @t85) @t350)) % 0.49/1.01 (define @t352 () (= @t350 (tptp.hAPP @t102 @t106))) % 0.49/1.01 (define @t353 () (tptp.hAPP @t226 @t64)) % 0.49/1.01 (define @t354 () (tptp.hAPP @t353 @t132)) % 0.49/1.01 (define @t355 () (tptp.hAPP @t245 @t354)) % 0.49/1.01 (define @t356 () (tptp.hAPP @t333 @t65)) % 0.49/1.01 (define @t357 () (tptp.c_Set_Oimage @t20 @t64 @t21 @t3)) % 0.49/1.01 (define @t358 () (tptp.hAPP @t165 @t1)) % 0.49/1.01 (define @t359 () (tptp.hAPP @t189 @t191)) % 0.49/1.01 (define @t360 () (@var "V_pname_H" $$unsorted)) % 0.49/1.01 (define @t361 () (tptp.c_Com_Ocom_OBODY @t360)) % 0.49/1.01 (define @t362 () (@var "V_com2" $$unsorted)) % 0.49/1.01 (define @t363 () (@var "V_com1" $$unsorted)) % 0.49/1.01 (define @t364 () (tptp.c_Com_Ocom_OSemi @t363 @t362)) % 0.49/1.01 (define @t365 () (@var "V_P" $$unsorted)) % 0.49/1.01 (define @t366 () (@var "V_Q" $$unsorted)) % 0.49/1.01 (define @t367 () (@var "V_R" $$unsorted)) % 0.49/1.01 (define @t368 () (tptp.hAPP @t365 @t367)) % 0.49/1.01 (define @t369 () (@var "V_S" $$unsorted)) % 0.49/1.01 (define @t370 () (tptp.hBOOL (tptp.c_in @t1 @t369 @t3))) % 0.49/1.01 (define @t371 () (tptp.hBOOL (tptp.hAPP @t369 @t1))) % 0.49/1.01 (define @t372 () (tptp.c_Orderings_Obot__class_Obot @t230)) % 0.49/1.01 (define @t373 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t372 @t64 @t21 @t30)) % 0.49/1.01 (define @t374 () (@list @t3 @t65 @t21 @t64)) % 0.49/1.01 (define @t375 () (tptp.hAPP @t19 tptp.v_x)) % 0.49/1.01 (define @t376 () (tptp.tc_fun tptp.t_a @t21)) % 0.49/1.01 (define @t377 () (not @t216)) % 0.49/1.01 (define @t378 () (tptp.hBOOL (tptp.hAPP @t70 @t202))) % 0.49/1.01 (define @t379 () (not @t378)) % 0.49/1.01 (define @t380 () (tptp.c_Set_Oinsert @t1 @t145 @t3)) % 0.49/1.01 (define @t381 () (tptp.hAPP @t190 @t380)) % 0.49/1.01 (define @t382 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t381) @t64))) % 0.49/1.01 (define @t383 () (not @t382)) % 0.49/1.01 (define @t384 () (@var "V_M" $$unsorted)) % 0.49/1.01 (define @t385 () (tptp.c_lessequals @t21)) % 0.49/1.01 (define @t386 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t21))) % 0.49/1.01 (define @t387 () (tptp.hAPP @t64 @t32)) % 0.49/1.01 (define @t388 () (tptp.hAPP @t189 @t201)) % 0.49/1.01 (define @t389 () (tptp.hAPP @t388 @t64)) % 0.49/1.01 (define @t390 () (@list @t3 @t1 @t65 @t64)) % 0.49/1.01 (define @t391 () (@var "V_com_H" $$unsorted)) % 0.49/1.01 (define @t392 () (@var "V_fun_H" $$unsorted)) % 0.49/1.01 (define @t393 () (tptp.c_Com_Ocom_OWhile @t392 @t391)) % 0.49/1.01 (define @t394 () (@list @t392 @t391)) % 0.49/1.01 (define @t395 () (@var "V_com" $$unsorted)) % 0.49/1.01 (define @t396 () (@var "V_fun" $$unsorted)) % 0.49/1.01 (define @t397 () (tptp.c_Com_Ocom_OWhile @t396 @t395)) % 0.49/1.01 (define @t398 () (tptp.c_Collect @t365 @t3)) % 0.49/1.01 (define @t399 () (@var "V_com2_H" $$unsorted)) % 0.49/1.01 (define @t400 () (= @t362 @t399)) % 0.49/1.01 (define @t401 () (@var "V_com1_H" $$unsorted)) % 0.49/1.01 (define @t402 () (tptp.c_Com_Ocom_OSemi @t401 @t399)) % 0.49/1.01 (define @t403 () (not (= @t364 @t402))) % 0.49/1.01 (define @t404 () (@list @t363 @t362 @t401 @t399)) % 0.49/1.01 (define @t405 () (= @t363 @t401)) % 0.49/1.01 (define @t406 () (tptp.c_Complete__Lattice_OSup__class_OSup @t3)) % 0.49/1.01 (define @t407 () (tptp.hAPP @t406 @t65)) % 0.49/1.01 (define @t408 () (tptp.hBOOL (tptp.c_in @t321 (tptp.c_Set_Oimage @t20 @t235 @t3 @t21) @t21))) % 0.49/1.01 (define @t409 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t381) @t64))) % 0.49/1.01 (define @t410 () (not @t409)) % 0.49/1.01 (define @t411 () (not (tptp.hBOOL (tptp.hAPP @t197 @t222)))) % 0.49/1.01 (define @t412 () (@list @t3 @t150 @t222)) % 0.49/1.01 (define @t413 () (@var "V_N" $$unsorted)) % 0.49/1.01 (define @t414 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t384) @t413)))) % 0.49/1.01 (define @t415 () (= @t384 @t145)) % 0.49/1.01 (define @t416 () (not (tptp.c_Finite__Set_Ofinite @t413 @t3))) % 0.49/1.01 (define @t417 () (@list @t20 @t85 @t65 @t1 @t2 @t3 @t21)) % 0.49/1.01 (define @t418 () (tptp.hAPP @t189 @t64)) % 0.49/1.01 (define @t419 () (tptp.hAPP @t418 @t65)) % 0.49/1.01 (define @t420 () (tptp.hAPP @t245 @t419)) % 0.49/1.01 (define @t421 () (tptp.c_Com_Ocom_OCond @t392 @t401 @t399)) % 0.49/1.01 (define @t422 () (@list @t392 @t401 @t399)) % 0.49/1.01 (define @t423 () (tptp.hAPP @t69 @t191)) % 0.49/1.01 (define @t424 () (tptp.hBOOL (tptp.hAPP @t365 @t32))) % 0.49/1.01 (define @t425 () (tptp.hBOOL (tptp.c_in @t32 @t398 @t3))) % 0.49/1.01 (define @t426 () (tptp.hBOOL (tptp.c_in @t33 @t191 @t3))) % 0.49/1.01 (define @t427 () (@list @t33 @t3 @t65 @t64)) % 0.49/1.01 (define @t428 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t201) @t64))) % 0.49/1.01 (define @t429 () (not @t428)) % 0.49/1.01 (define @t430 () (@list @t1 @t64 @t3 @t65)) % 0.49/1.01 (define @t431 () (= @t65 @t372)) % 0.49/1.01 (define @t432 () (tptp.c_COMBK @t33 @t30 @t21)) % 0.49/1.01 (define @t433 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 @t64 @t21 @t30)) % 0.49/1.01 (define @t434 () (tptp.hAPP @t353 @t65)) % 0.49/1.01 (define @t435 () (tptp.c_fequal @t3)) % 0.49/1.01 (define @t436 () (tptp.hAPP (tptp.c_COMBC @t435 @t3 @t3 tptp.tc_bool) @t32)) % 0.49/1.01 (define @t437 () (tptp.c_Collect @t436 @t3)) % 0.49/1.01 (define @t438 () (@list @t32 @t64 @t3)) % 0.49/1.01 (define @t439 () (tptp.hAPP @t268 @t65)) % 0.49/1.01 (define @t440 () (tptp.hAPP @t267 @t65)) % 0.49/1.01 (define @t441 () (= @t57 @t103)) % 0.49/1.01 (define @t442 () (@var "V_pname" $$unsorted)) % 0.49/1.01 (define @t443 () (= @t396 @t392)) % 0.49/1.01 (define @t444 () (not (= @t397 @t393))) % 0.49/1.01 (define @t445 () (@list @t396 @t395 @t392 @t391)) % 0.49/1.01 (define @t446 () (= @t395 @t391)) % 0.49/1.01 (define @t447 () (= (tptp.hAPP @t8 @t57) @t57)) % 0.49/1.01 (define @t448 () (tptp.hBOOL (tptp.hAPP @t231 @t39))) % 0.49/1.01 (define @t449 () (tptp.c_Com_Ocom_OCond @t396 @t363 @t362)) % 0.49/1.01 (define @t450 () (@list @t360)) % 0.49/1.01 (define @t451 () (tptp.hBOOL (tptp.hAPP @t70 @t354))) % 0.49/1.01 (define @t452 () (tptp.hBOOL (tptp.hAPP @t423 @t132))) % 0.49/1.01 (define @t453 () (tptp.hAPP @t19 @t1)) % 0.49/1.01 (define @t454 () (not (= (tptp.hAPP (tptp.hAPP @t7 @t65) @t64) @t315))) % 0.49/1.01 (define @t455 () (tptp.hAPP @t226 @t145)) % 0.49/1.01 (define @t456 () (tptp.hBOOL (tptp.hAPP @t365 @t1))) % 0.49/1.01 (define @t457 () (not @t456)) % 0.49/1.01 (define @t458 () (not (tptp.hBOOL (tptp.c_in @t1 @t145 @t3)))) % 0.49/1.01 (define @t459 () (@list @t1 @t3)) % 0.49/1.01 (define @t460 () (@list @t365 @t1 @t3)) % 0.49/1.01 (define @t461 () (tptp.hAPP @t69 @t145)) % 0.49/1.01 (define @t462 () (@list @t3 @t64)) % 0.49/1.01 (define @t463 () (not (= @t246 @t145))) % 0.49/1.01 (define @t464 () (@list @t3 @t32)) % 0.49/1.01 (define @t465 () (tptp.c_Set_Oinsert @t32 @t235 @t3)) % 0.49/1.01 (define @t466 () (@list @t32 @t3 @t65)) % 0.49/1.01 (define @t467 () (@var "V_D" $$unsorted)) % 0.49/1.01 (define @t468 () (tptp.hBOOL (tptp.c_in @t32 (tptp.c_Set_Oinsert @t39 @t65 @t3) @t3))) % 0.49/1.01 (define @t469 () (tptp.c_Set_Oinsert @t39 @t64 @t3)) % 0.49/1.01 (define @t470 () (tptp.hAPP @t264 @t32)) % 0.49/1.01 (define @t471 () (tptp.hAPP @t263 @t32)) % 0.49/1.01 (define @t472 () (@list @t1 @t65 @t3)) % 0.49/1.01 (define @t473 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t230)) % 0.49/1.01 (define @t474 () (tptp.hAPP (tptp.hAPP @t473 @t65) @t64)) % 0.49/1.01 (define @t475 () (@var "V_r" $$unsorted)) % 0.49/1.01 (define @t476 () (@var "V_Y" $$unsorted)) % 0.49/1.01 (define @t477 () (= @t233 @t145)) % 0.49/1.01 (define @t478 () (not @t426)) % 0.49/1.01 (define @t479 () (not @t295)) % 0.49/1.01 (define @t480 () (@var "V_I" $$unsorted)) % 0.49/1.01 (define @t481 () (tptp.hAPP @t65 @t1)) % 0.49/1.01 (define @t482 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t480 @t65 @t3 @t230)) % 0.49/1.01 (define @t483 () (not (= @t449 @t421))) % 0.49/1.01 (define @t484 () (@list @t396 @t363 @t362 @t392 @t401 @t399)) % 0.49/1.01 (define @t485 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t48) @t47))) % 0.49/1.01 (define @t486 () (not @t485)) % 0.49/1.01 (define @t487 () (tptp.hAPP @t20 @t453)) % 0.49/1.01 (define @t488 () (tptp.hAPP (tptp.c_Fun_Ocomp @t20 @t19 @t21 @t3 @t257) @t1)) % 0.49/1.01 (define @t489 () (@var "V_v" $$unsorted)) % 0.49/1.01 (define @t490 () (tptp.c_Fun_Ocomp @t32 @t39 @t257 @t21 @t3)) % 0.49/1.01 (define @t491 () (tptp.hAPP @t32 (tptp.hAPP @t39 @t489))) % 0.49/1.01 (define @t492 () (tptp.hBOOL (tptp.hAPP @t246 @t1))) % 0.49/1.01 (define @t493 () (tptp.hBOOL @t481)) % 0.49/1.01 (define @t494 () (tptp.hBOOL @t233)) % 0.49/1.01 (define @t495 () (not @t493)) % 0.49/1.01 (define @t496 () (tptp.hBOOL (tptp.c_in @t33 @t246 @t3))) % 0.49/1.01 (define @t497 () (tptp.hAPP @t189 @t132)) % 0.49/1.01 (define @t498 () (@list @t3 @t65 @t64 @t132 @t467)) % 0.49/1.01 (define @t499 () (@list @t21)) % 0.49/1.01 (define @t500 () (= @t57 @t2)) % 0.49/1.01 (define @t501 () (= @t246 @t64)) % 0.49/1.01 (define @t502 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.49/1.01 (define @t503 () (= @t145 @t48)) % 0.49/1.01 (define @t504 () (@var "T_d" $$unsorted)) % 0.49/1.01 (define @t505 () (@list @t401 @t399)) % 0.49/1.01 (define @t506 () (not @t341)) % 0.49/1.01 (define @t507 () (tptp.hBOOL (tptp.hAPP @t75 @t312))) % 0.49/1.01 (define @t508 () (not @t345)) % 0.49/1.01 (define @t509 () (not @t347)) % 0.49/1.01 (define @t510 () (@list @t3 @t64 @t132 @t65)) % 0.49/1.01 (define @t511 () (@var "V_t" $$unsorted)) % 0.49/1.01 (define @t512 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t365) @t366)))) % 0.49/1.01 (define @t513 () (tptp.hBOOL (tptp.hAPP @t366 @t1))) % 0.49/1.01 (define @t514 () (@var "T_e" $$unsorted)) % 0.49/1.01 (define @t515 () (@var "V_g_H" $$unsorted)) % 0.49/1.01 (define @t516 () (@var "V_f_H" $$unsorted)) % 0.49/1.01 (define @t517 () (tptp.hAPP @t435 @t1)) % 0.49/1.01 (define @t518 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t160) @t161))) % 0.49/1.01 (define @t519 () (tptp.hBOOL (tptp.c_in @t77 @t169 @t3))) % 0.49/1.01 (define @t520 () (@list @t20 @t1 @t65 @t3 @t21)) % 0.49/1.01 (define @t521 () (@var "V_xc" $$unsorted)) % 0.49/1.01 (define @t522 () (@var "V_xb" $$unsorted)) % 0.49/1.01 (define @t523 () (@var "V_f1" $$unsorted)) % 0.49/1.01 (define @t524 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_b)) % 0.49/1.01 (define @t525 () (@var "V_fun2" $$unsorted)) % 0.49/1.01 (define @t526 () (@var "V_fun1" $$unsorted)) % 0.49/1.01 (define @t527 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t523 @t526) @t395) @t525)) % 0.49/1.01 (define @t528 () (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t21) @t526) @t395) @t525)) % 0.49/1.01 (define @t529 () (@list @t523 @t21 @t526 @t395 @t525 @t3)) % 0.49/1.01 (define @t530 () (@var "V_ts_H" $$unsorted)) % 0.49/1.01 (define @t531 () (@var "V_ts" $$unsorted)) % 0.49/1.01 (define @t532 () (tptp.tc_Hoare__Mirabelle_Otriple @t3)) % 0.49/1.01 (define @t533 () (tptp.tc_fun @t532 tptp.tc_bool)) % 0.49/1.01 (define @t534 () (tptp.c_lessequals @t533)) % 0.49/1.01 (define @t535 () (tptp.hAPP @t534 @t531)) % 0.49/1.01 (define @t536 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 @t531 @t3)) % 0.49/1.01 (define @t537 () (@var "V_G_H" $$unsorted)) % 0.49/1.01 (define @t538 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t537 @t531 @t3))) % 0.49/1.01 (define @t539 () (@list @t272 @t531 @t3 @t537)) % 0.49/1.01 (define @t540 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_a)) % 0.49/1.01 (define @t541 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t540 tptp.tc_bool))) % 0.49/1.01 (define @t542 () (tptp.tc_fun tptp.tc_Com_Ostate tptp.tc_bool)) % 0.49/1.01 (define @t543 () (tptp.v_sko__Hoare__Mirabelle__Xescape__1 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t544 () (tptp.v_sko__Hoare__Mirabelle__Xescape__2 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t545 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple tptp.t_a)) % 0.49/1.01 (define @t546 () (tptp.hAPP (tptp.hAPP @t545 @t365) @t33)) % 0.49/1.01 (define @t547 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t546 @t366) @t541 @t540) tptp.t_a)) % 0.49/1.01 (define @t548 () (@list @t272 @t365 @t33 @t366)) % 0.49/1.01 (define @t549 () (tptp.hAPP tptp.v_P tptp.v_R)) % 0.49/1.01 (define @t550 () (@var "V_s" $$unsorted)) % 0.49/1.01 (define @t551 () (tptp.tc_fun @t257 @t3)) % 0.49/1.01 (define @t552 () (tptp.c_List_Osko__List__Xfoldl__apply__inv__1__1 @t19 @t310 @t21 @t3)) % 0.49/1.01 (define @t553 () (tptp.c_Orderings_Obot__class_Obot @t533)) % 0.49/1.01 (define @t554 () (tptp.c_Hoare__Mirabelle_Otriple_Otriple @t3)) % 0.49/1.01 (define @t555 () (tptp.hAPP (tptp.hAPP @t554 (tptp.c_Hoare__Mirabelle_Opeek__and @t365 @t39 @t3)) @t33)) % 0.49/1.01 (define @t556 () (tptp.c_Hoare__Mirabelle_Opeek__and @t365 (tptp.c_Fun_Ocomp tptp.c_Not @t39 tptp.tc_bool tptp.tc_bool tptp.tc_Com_Ostate) @t3)) % 0.49/1.01 (define @t557 () (tptp.hAPP @t554 @t365)) % 0.49/1.01 (define @t558 () (@var "V_pn" $$unsorted)) % 0.49/1.01 (define @t559 () (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 (tptp.c_Option_Othe (tptp.c_Com_Obody @t558) tptp.tc_Com_Ocom)) @t366) @t553 @t532)) % 0.49/1.01 (define @t560 () (tptp.hAPP (tptp.hAPP @t557 (tptp.c_Com_Ocom_OBODY @t558)) @t366)) % 0.49/1.01 (define @t561 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert @t560 @t553 @t532) @t3)) % 0.49/1.01 (define @t562 () (@list @t272 @t3 @t365 @t558 @t366)) % 0.49/1.01 (define @t563 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t380 @t3)) % 0.49/1.01 (define @t564 () (tptp.c_COMBK @t33 @t3 @t21)) % 0.49/1.01 (define @t565 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t545 @t1) @t33) @t239) @t541 @t540) tptp.t_a))) % 0.49/1.01 (define @t566 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t567 () (@var "V_Z_H" $$unsorted)) % 0.49/1.01 (define @t568 () (tptp.hAPP @t1 @t567)) % 0.49/1.01 (define @t569 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3 @t272 @t365 @t366 @t33 @t1 @t239)) % 0.49/1.01 (define @t570 () (tptp.hAPP @t239 @t567)) % 0.49/1.01 (define @t571 () (@list @t272 @t365 @t33 @t366 @t239 @t567 @t1)) % 0.49/1.01 (define @t572 () (@var "V_Q_H" $$unsorted)) % 0.49/1.01 (define @t573 () (@var "V_P_H" $$unsorted)) % 0.49/1.01 (define @t574 () (tptp.hAPP (tptp.hAPP @t545 @t573) @t33)) % 0.49/1.01 (define @t575 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t574 @t572) @t541 @t540) tptp.t_a))) % 0.49/1.01 (define @t576 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__2 @t365 @t573 @t366 @t572)) % 0.49/1.01 (define @t577 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__3 @t365 @t573 @t366 @t572)) % 0.49/1.01 (define @t578 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t579 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3 @t272 @t365 @t366 @t33 @t1 @t239)) % 0.49/1.01 (define @t580 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t581 () (@list @t272 @t365 @t33 @t366 @t1 @t239)) % 0.49/1.01 (define @t582 () (tptp.v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1 @t272 @t365 @t366 @t33)) % 0.49/1.01 (define @t583 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t546 @t572) @t541 @t540) tptp.t_a))) % 0.49/1.01 (define @t584 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__2 @t366 @t572)) % 0.49/1.01 (define @t585 () (tptp.v_sko__Hoare__Mirabelle__Xconseq2__1 @t366 @t572)) % 0.49/1.01 (define @t586 () (@list @t272 @t365 @t33 @t366 @t572)) % 0.49/1.01 (define @t587 () (tptp.v_sko__Hoare__Mirabelle__Xconseq12__1 @t365 @t573 @t366 @t572)) % 0.49/1.01 (define @t588 () (@list @t272 @t365 @t33 @t366 @t573 @t572)) % 0.49/1.01 (define @t589 () (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t574 @t366) @t541 @t540) tptp.t_a))) % 0.49/1.01 (define @t590 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__2 @t365 @t573)) % 0.49/1.01 (define @t591 () (tptp.v_sko__Hoare__Mirabelle__Xconseq1__1 @t365 @t573)) % 0.49/1.01 (define @t592 () (@list @t272 @t365 @t33 @t366 @t573)) % 0.49/1.01 (define @t593 () (tptp.hAPP tptp.v_Q tptp.v_R)) % 0.49/1.01 (define @t594 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert @t511 @t553 @t532) @t3)) % 0.49/1.01 (define @t595 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert @t511 @t531 @t532) @t3)) % 0.49/1.01 (define @t596 () (not @t595)) % 0.49/1.01 (define @t597 () (@var "V_fun2_H" $$unsorted)) % 0.49/1.01 (define @t598 () (@var "V_fun1_H" $$unsorted)) % 0.49/1.01 (define @t599 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t554 @t526) @t395) @t525) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t554 @t598) @t391) @t597)))) % 0.49/1.01 (define @t600 () (@list @t3 @t526 @t395 @t525 @t598 @t391 @t597)) % 0.49/1.01 (define @t601 () (= @t39 @t38)) % 0.49/1.01 (define @t602 () (= @t39 @t33)) % 0.49/1.01 (define @t603 () (not (= @t336 (tptp.c_Set_Oinsert @t33 (tptp.c_Set_Oinsert @t38 @t145 @t3) @t3)))) % 0.49/1.01 (define @t604 () (@list @t32 @t39 @t3 @t33 @t38)) % 0.49/1.01 (define @t605 () (= @t32 @t38)) % 0.49/1.01 (define @t606 () (tptp.c_Set_Oinsert @t2 @t65 @t3)) % 0.49/1.01 (define @t607 () (tptp.hBOOL (tptp.hAPP @t606 @t1))) % 0.49/1.01 (define @t608 () (tptp.hAPP @t366 @t367)) % 0.49/1.01 (define @t609 () (tptp.c_Set_Oimage @t20 @t372 @t21 @t3)) % 0.49/1.01 (define @t610 () (@list @t20 @t21 @t3)) % 0.49/1.01 (define @t611 () (forall @t610 (= @t609 @t145))) % 0.49/1.01 (define @t612 () (= @t145 @t609)) % 0.49/1.01 (define @t613 () (tptp.tc_Hoare__Mirabelle_Otriple tptp.t_b)) % 0.49/1.01 (define @t614 () (tptp.tc_fun tptp.t_b @t542)) % 0.49/1.01 (define @t615 () (tptp.tc_fun @t614 @t613)) % 0.49/1.01 (define @t616 () (tptp.c_COMBB @t524 @t614 (tptp.tc_fun tptp.tc_Com_Ocom @t615) tptp.t_a)) % 0.49/1.01 (define @t617 () (tptp.c_COMBS (tptp.c_COMBS (tptp.hAPP @t616 tptp.v_P_H) tptp.v_c0 tptp.t_a tptp.tc_Com_Ocom @t615) tptp.v_Q_H tptp.t_a @t614 @t613)) % 0.49/1.01 (define @t618 () (tptp.c_Set_Oimage @t617 @t502 tptp.t_a @t613)) % 0.49/1.01 (define @t619 () (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G @t618 tptp.t_b)) % 0.49/1.01 (define @t620 () (tptp.c_COMBS (tptp.c_COMBS (tptp.hAPP @t616 tptp.v_P) tptp.v_c0 tptp.t_a tptp.tc_Com_Ocom @t615) tptp.v_Q tptp.t_a @t614 @t613)) % 0.49/1.01 (define @t621 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t613 tptp.tc_bool))) % 0.49/1.01 (define @t622 () (@var "V_p" $$unsorted)) % 0.49/1.01 (define @t623 () (tptp.hAPP tptp.v_c0 @t622)) % 0.49/1.01 (define @t624 () (@var "T_1" $$unsorted)) % 0.49/1.01 (define @t625 () (@var "T_2" $$unsorted)) % 0.49/1.01 (define @t626 () (tptp.tc_fun @t625 @t624)) % 0.49/1.01 (define @t627 () (@list @t625 @t624)) % 0.49/1.01 (define @t628 () (not (tptp.class_Lattices_Olattice @t624))) % 0.49/1.01 (define @t629 () (@var "V_X" $$unsorted)) % 0.49/1.01 (define @t630 () (forall @t610 @t612)) % 0.49/1.01 (define @t631 () (= @t621 @t618)) % 0.49/1.01 (assume @p1 (forall @t10 (or @t9 (= (tptp.hAPP @t8 @t6) @t1)))) % 0.49/1.01 (assume @p2 (forall @t16 (or @t15 @t14))) % 0.49/1.01 (assume @p3 (forall @t16 (or @t17 @t14))) % 0.49/1.01 (assume @p4 (forall @t16 (or @t18 @t14))) % 0.49/1.01 (assume @p5 (forall @t29 (or @t28 @t27 @t26 @t25))) % 0.49/1.01 (assume @p6 (forall @t16 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t1) @t1))))) % 0.49/1.01 (assume @p7 (forall @t50 (or @t18 @t49 @t46 (not @t44) @t42 @t37))) % 0.49/1.01 (assume @p8 (forall @t50 (or @t18 @t49 @t46 (not @t51) @t42 @t37))) % 0.49/1.01 (assume @p9 (forall @t56 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t3)) @t55 @t53 @t52))) % 0.49/1.01 (assume @p10 (forall @t10 (or @t17 @t52 @t55 @t53))) % 0.49/1.01 (assume @p11 (forall @t56 (or @t17 @t55 @t53 @t52))) % 0.49/1.01 (assume @p12 (forall @t56 (or @t17 @t55 @t52 @t53))) % 0.49/1.01 (assume @p13 (forall @t10 (or @t17 @t52 @t53 @t55))) % 0.49/1.01 (assume @p14 (forall @t10 (or @t9 (= (tptp.hAPP @t5 @t57) @t1)))) % 0.49/1.01 (assume @p15 (forall @t62 (or @t61 @t60 (not (tptp.hBOOL (tptp.hAPP @t43 @t1)))))) % 0.49/1.01 (assume @p16 (forall @t62 (or @t61 @t60 (not (tptp.hBOOL (tptp.hAPP @t63 @t1)))))) % 0.49/1.01 (assume @p17 (forall @t72 (or @t71 @t68))) % 0.49/1.01 (assume @p18 (forall @t29 (or @t28 @t24 @t73))) % 0.49/1.01 (assume @p19 (forall @t10 (or @t18 @t76 @t74))) % 0.49/1.01 (assume @p20 (forall @t10 (or @t15 @t76 @t74))) % 0.49/1.01 (assume @p21 (forall @t78 (= (tptp.c_Fun_Ofun__upd @t20 @t1 @t77 @t21 @t3) @t20))) % 0.49/1.01 (assume @p22 (forall (@list @t20 @t1 @t2 @t21 @t3) (= (tptp.hAPP @t79 @t1) @t2))) % 0.49/1.01 (assume @p23 (forall (@list @t20 @t1 @t3 @t21) (= (tptp.c_Fun_Ofun__upd @t20 @t1 @t77 @t3 @t21) @t20))) % 0.49/1.01 (assume @p24 (forall (@list @t20 @t1 @t2 @t3 @t80) (= (tptp.hAPP (tptp.c_Fun_Ofun__upd @t20 @t1 @t2 @t3 @t80) @t1) @t2))) % 0.49/1.01 (assume @p25 (forall (@list @t20 @t1 @t80 @t3) (= (tptp.c_Fun_Ofun__upd @t20 @t1 @t77 @t80 @t3) @t20))) % 0.49/1.01 (assume @p26 (forall @t10 (or @t9 @t82))) % 0.49/1.01 (assume @p27 (forall @t10 (or @t9 @t83))) % 0.49/1.01 (assume @p28 (forall @t91 (or @t61 @t90 @t87 @t84))) % 0.49/1.01 (assume @p29 (forall @t97 (or @t61 @t96 @t95 @t93))) % 0.49/1.01 (assume @p30 (forall @t10 (or @t61 @t83))) % 0.49/1.01 (assume @p31 (forall @t10 (or @t61 @t82))) % 0.49/1.01 (assume @p32 (forall (@list @t20 @t1 @t2 @t3 @t21 @t65) (or (tptp.c_Fun_Oinj__on @t101 @t65 @t3 @t21) (tptp.hBOOL (tptp.c_in @t2 @t100 @t21)) @t99))) % 0.49/1.01 (assume @p33 (forall @t105 (or @t104 (= (tptp.hAPP (tptp.hAPP @t7 @t89) @t1) (tptp.hAPP (tptp.hAPP @t4 @t103) (tptp.hAPP (tptp.hAPP @t7 @t85) @t1)))))) % 0.49/1.01 (assume @p34 (forall @t91 (or @t104 (= @t108 @t107)))) % 0.49/1.01 (assume @p35 (forall @t10 (or @t9 @t109))) % 0.49/1.01 (assume @p36 (forall @t10 (or @t61 @t109))) % 0.49/1.01 (assume @p37 (forall (@list @t110 @t3) (tptp.c_Finite__Set_Ofinite @t111 @t3))) % 0.49/1.01 (assume @p38 (forall @t114 (or @t113 (tptp.c_Finite__Set_Ofinite @t112 @t3)))) % 0.49/1.01 (assume @p39 (forall @t16 (or @t61 (= (tptp.hAPP @t5 @t1) @t1)))) % 0.49/1.01 (assume @p40 (forall @t120 (or @t18 @t119 @t117 @t115))) % 0.49/1.01 (assume @p41 (forall @t120 (or @t18 @t119 @t124 @t123))) % 0.49/1.01 (assume @p42 (forall @t128 (or @t98 @t127 @t126))) % 0.49/1.01 (assume @p43 (forall @t131 (or @t130 @t129 @t127))) % 0.49/1.01 (assume @p44 (forall @t137 (or @t136 @t135 @t68))) % 0.49/1.01 (assume @p45 (forall @t137 (or @t136 @t138 @t127))) % 0.49/1.01 (assume @p46 (forall @t131 (or @t130 @t127 @t129))) % 0.49/1.01 (assume @p47 (forall @t141 (or @t15 @t140 @t139 @t84))) % 0.49/1.01 (assume @p48 (forall @t141 (or @t15 @t140 @t143 @t74))) % 0.49/1.01 (assume @p49 (forall @t148 (or @t18 @t147 @t144))) % 0.49/1.01 (assume @p50 (forall @t148 (or @t18 (not @t147) @t149))) % 0.49/1.01 (assume @p51 (forall @t155 (or @t18 @t154 @t152))) % 0.49/1.01 (assume @p52 (forall @t155 (or @t18 (not @t154) @t156))) % 0.49/1.01 (assume @p53 (forall (@list @t20 @t1 @t2 @t21 @t3 @t85) (or (= (tptp.hAPP @t79 @t85) @t158) @t157))) % 0.49/1.01 (assume @p54 (forall @t159 (or (= (tptp.hAPP @t101 @t85) @t158) @t157))) % 0.49/1.01 (assume @p55 (forall @t168 (or @t167 @t166 @t162 @t74))) % 0.49/1.01 (assume @p56 (forall @t168 (or @t167 @t166 @t53 (not @t162)))) % 0.49/1.01 (assume @p57 (forall (@list @t65 @t21 @t20 @t3) (or (tptp.c_Finite__Set_Ofinite @t65 @t21) (not (tptp.c_Fun_Oinj__on @t20 @t65 @t21 @t3)) (not (tptp.c_Finite__Set_Ofinite @t169 @t3))))) % 0.49/1.01 (assume @p58 (forall @t174 (or @t18 @t173 @t172 @t171))) % 0.49/1.01 (assume @p59 (forall @t174 (or @t18 @t173 @t171 @t172))) % 0.49/1.01 (assume @p60 (forall @t72 (or @t67 @t175 @t127))) % 0.49/1.01 (assume @p61 (forall @t10 (or @t18 @t52 @t53 @t84))) % 0.49/1.01 (assume @p62 (forall @t10 (or @t18 @t53 @t52 @t84))) % 0.49/1.01 (assume @p63 (forall @t176 (or @t175 @t67 @t127))) % 0.49/1.01 (assume @p64 (forall @t148 (or @t18 @t144 @t172 @t179))) % 0.49/1.01 (assume @p65 (forall @t148 (or @t18 @t144 @t179 @t172))) % 0.49/1.01 (assume @p66 (forall @t10 (or @t17 @t52 @t84 @t53))) % 0.49/1.01 (assume @p67 (forall @t10 (or @t17 @t52 @t53 @t84))) % 0.49/1.01 (assume @p68 (forall @t148 (or @t18 @t149 @t180))) % 0.49/1.01 (assume @p69 (forall @t10 (or @t17 @t74 @t115))) % 0.49/1.01 (assume @p70 (forall @t56 (or @t15 @t115 @t74))) % 0.49/1.01 (assume @p71 (forall @t174 (or @t15 @t180 @t149))) % 0.49/1.01 (assume @p72 (forall (@list @t3 @t65 @t32) (or @t61 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t184) @t32)) @t183 @t181))) % 0.49/1.01 (assume @p73 (forall (@list @t21 @t20 @t3 @t65 @t64) (or @t192 (= (tptp.c_Finite__Set_Osetsum @t20 @t191 @t3 @t21) (tptp.hAPP @t188 (tptp.c_Finite__Set_Osetsum @t20 @t64 @t3 @t21))) @t185 @t181))) % 0.49/1.01 (assume @p74 (forall @t196 (or @t195 (= (tptp.hAPP @t194 @t111) (tptp.c_List_Ofoldl @t4 @t193 @t110 @t3 @t3))))) % 0.49/1.01 (assume @p75 (forall @t155 (or @t18 @t198 (not (tptp.hBOOL (tptp.hAPP @t197 @t151)))))) % 0.49/1.01 (assume @p76 (forall @t148 (or @t18 @t147 @t171))) % 0.49/1.01 (assume @p77 (forall (@list @t20 @t85 @t1 @t65 @t3 @t2 @t21) (or (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t201 @t200 @t3 @t21) (not (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t65 @t2 @t3 @t21)) @t199))) % 0.49/1.01 (assume @p78 (forall @t207 (or @t67 @t206 @t204))) % 0.49/1.01 (assume @p79 (forall @t208 (or @t203 @t206 @t68))) % 0.49/1.01 (assume @p80 (forall @t91 (or @t9 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t212) @t210))))) % 0.49/1.01 (assume @p81 (forall @t91 (or @t9 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t108) @t107))))) % 0.49/1.01 (assume @p82 (forall @t214 (or @t17 @t41 @t170 @t213))) % 0.49/1.01 (assume @p83 (forall @t215 (or @t17 @t36 @t170 @t213))) % 0.49/1.01 (assume @p84 (forall @t218 (or (= @t217 @t169) @t216))) % 0.49/1.01 (assume @p85 (forall @t214 (or @t18 @t41 @t179 @t219))) % 0.49/1.01 (assume @p86 (forall @t215 (or @t18 @t36 @t179 @t219))) % 0.49/1.01 (assume @p87 (forall (@list @t3 @t33 @t38 @t32 @t39) (or @t18 @t45 @t219))) % 0.49/1.01 (assume @p88 (forall @t50 (or @t18 @t49 @t46 @t178))) % 0.49/1.01 (assume @p89 (forall @t227 (or @t17 (= (tptp.hAPP (tptp.hAPP @t226 (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t150 @t220 @t3)) @t225) @t224) @t223 @t221))) % 0.49/1.01 (assume @p90 (forall @t227 (or @t17 (= (tptp.hAPP @t229 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t220 @t222 @t3)) @t228) @t223 @t221))) % 0.49/1.01 (assume @p91 (forall (@list @t64 @t1 @t21 @t65 @t3) (or (tptp.c_Finite__Set_Ofinite @t233 @t21) @t232 (not (tptp.c_Finite__Set_Ofinite @t231 @t21)) @t181))) % 0.49/1.01 (assume @p92 (forall @t237 (or @t192 (= @t236 @t186) @t182 @t181))) % 0.49/1.01 (assume @p93 (forall (@list @t3 @t1 @t239 @t65) (or @t61 (tptp.hBOOL (tptp.hAPP @t75 @t239)) @t240 (not (tptp.hBOOL (tptp.hAPP @t75 @t184))) @t238 @t181))) % 0.49/1.01 (assume @p94 (forall (@list @t3 @t242 @t220 @t241) (or @t17 (= (tptp.hAPP (tptp.hAPP @t189 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t242 @t220 @t3)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t242 @t241 @t3)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t241 @t220 @t3)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t242) @t241)))))) % 0.49/1.01 (assume @p95 (forall @t148 (or @t18 @t243 @t180))) % 0.49/1.01 (assume @p96 (forall (@list @t64 @t21 @t20 @t65 @t3) (or (tptp.c_Finite__Set_Ofinite @t64 @t21) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t64) @t100))) @t181))) % 0.49/1.01 (assume @p97 (forall @t128 (or @t249 @t247 @t175))) % 0.49/1.01 (assume @p98 (forall @t128 (or @t249 @t250 @t175))) % 0.49/1.01 (assume @p99 (forall (@list @t3 @t65 @t64 @t32) (or @t254 (not @t253)))) % 0.49/1.01 (assume @p100 (forall @t256 (or @t253 @t255))) % 0.49/1.01 (assume @p101 (forall (@list @t19 @t20 @t21 @t257 @t3 @t65) (or (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t19 @t20 @t21 @t257 @t3) @t65 @t3 @t257) (not (tptp.c_Fun_Oinj__on @t19 @t100 @t21 @t257)) @t99))) % 0.49/1.01 (assume @p102 (forall (@list @t19 @t20 @t65 @t3 @t257 @t21) (or (tptp.c_Fun_Oinj__on @t19 (tptp.c_Set_Oimage @t20 @t65 @t3 @t257) @t257 @t21) (not (tptp.c_Fun_Oinj__on (tptp.c_Fun_Ocomp @t19 @t20 @t257 @t21 @t3) @t65 @t3 @t21))))) % 0.49/1.01 (assume @p103 (forall @t260 (or @t195 (= (tptp.hAPP @t194 @t259) (tptp.hAPP @t58 @t258))))) % 0.49/1.01 (assume @p104 (forall (@list @t268 @t110 @t3 @t264 @t261 @t267 @t266 @t265 @t263 @t262) (or (= (tptp.hAPP @t268 @t111) (tptp.c_List_Ofoldl @t264 @t261 @t110 @t3 @t3)) @t269))) % 0.49/1.01 (assume @p105 (forall (@list @t267 @t110 @t3 @t263 @t262 @t268 @t266 @t265 @t264 @t261) (or (= (tptp.hAPP @t267 @t111) (tptp.c_List_Ofoldl @t263 @t262 @t110 @t3 @t3)) @t269))) % 0.49/1.01 (assume @p106 (forall @t10 (or @t15 @t53 @t122 @t84))) % 0.49/1.01 (assume @p107 (forall @t16 (or @t270 (= (tptp.hAPP (tptp.hAPP @t4 @t193) @t1) @t1)))) % 0.49/1.01 (assume @p108 (forall @t16 (or @t270 (= (tptp.hAPP @t5 @t193) @t1)))) % 0.49/1.01 (assume @p109 (forall @t159 (= (tptp.c_Fun_Ofun__upd @t101 @t1 @t85 @t3 @t21) (tptp.c_Fun_Ofun__upd @t20 @t1 @t85 @t3 @t21)))) % 0.49/1.01 (assume @p110 (forall @t72 (or @t270 @t271 (= @t65 @t193)))) % 0.49/1.01 (assume @p111 (forall @t72 (or @t270 @t271 (= @t64 @t193)))) % 0.49/1.01 (assume @p112 (forall (@list @t272 @t3 @t273) (or @t276 @t275))) % 0.49/1.01 (assume @p113 (forall (@list @t273 @t3 @t272) (or @t277 @t275))) % 0.49/1.01 (assume @p114 (forall @t91 (or @t61 @t279))) % 0.49/1.01 (assume @p115 (forall @t91 (or @t61 @t280))) % 0.49/1.01 (assume @p116 (forall @t91 (or @t9 @t280))) % 0.49/1.01 (assume @p117 (forall @t91 (or @t9 @t279))) % 0.49/1.01 (assume @p118 (forall @t283 (or (= @t281 @t65) (not @t282) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t281) @t65))) @t181))) % 0.49/1.01 (assume @p119 (forall @t286 (or @t285 @t250 @t52))) % 0.49/1.01 (assume @p120 (forall (@list @t220 @t32 @t39 @t3 @t21 @t33 @t38) (or (= (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t220 @t32 @t39 @t3 @t21) @t33 @t38 @t3 @t21) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ofun__upd @t220 @t33 @t38 @t3 @t21) @t32 @t39 @t3 @t21)) @t287))) % 0.49/1.01 (assume @p121 (forall (@list @t3 @t273 @t272) (or @t274 (not @t276) @t288))) % 0.49/1.01 (assume @p122 (forall @t290 (tptp.c_Fun_Oinj__on @t289 @t65 @t3 @t3))) % 0.49/1.01 (assume @p123 (forall @t72 (or @t254 @t181 @t129))) % 0.49/1.01 (assume @p124 (forall @t131 (or @t130 @t255 @t129))) % 0.49/1.01 (assume @p125 (forall @t291 (or (tptp.c_Fun_Oinj__on @t20 @t191 @t3 @t21) @t99))) % 0.49/1.01 (assume @p126 (forall @t72 (or @t254 @t181))) % 0.49/1.01 (assume @p127 (forall @t155 (or @t18 (not @t198) @t156))) % 0.49/1.01 (assume @p128 (forall @t155 (or @t18 @t198 @t152))) % 0.49/1.01 (assume @p129 (forall (@list @t65 @t3 @t20 @t85 @t1 @t21) (or @t130 (not (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t65 @t1 @t3 @t21))))) % 0.49/1.01 (assume @p130 (forall @t91 (or @t104 (= @t210 @t212)))) % 0.49/1.01 (assume @p131 (forall @t105 (or @t104 (= (tptp.hAPP (tptp.hAPP @t4 @t209) @t1) (tptp.hAPP (tptp.hAPP @t7 @t292) (tptp.hAPP (tptp.hAPP @t4 @t85) @t1)))))) % 0.49/1.01 (assume @p132 (forall @t141 (or @t15 @t140 @t139 @t74))) % 0.49/1.01 (assume @p133 (forall @t137 (or @t136 @t138 @t68))) % 0.49/1.01 (assume @p134 (forall @t296 (or @t295 @t294 @t68))) % 0.49/1.01 (assume @p135 (forall @t120 (or @t18 @t119 @t124 @t115))) % 0.49/1.01 (assume @p136 (forall @t10 (or @t17 @t53 @t122))) % 0.49/1.01 (assume @p137 (forall @t16 (or @t17 (not @t297) @t14))) % 0.49/1.01 (assume @p138 (forall @t16 (or @t17 @t13 @t297))) % 0.49/1.01 (assume @p139 (forall @t10 (or @t17 @t74 @t123))) % 0.49/1.01 (assume @p140 (forall @t56 (or @t17 @t122 @t53))) % 0.49/1.01 (assume @p141 (forall @t10 (or @t17 @t84 @t115))) % 0.49/1.01 (assume @p142 (forall @t56 (or @t17 @t55 @t76))) % 0.49/1.01 (assume @p143 (forall (@list @t21 @t3 @t19 @t20) (or @t28 (not @t26) @t73))) % 0.49/1.01 (assume @p144 (forall @t56 (or @t15 @t123 @t74))) % 0.49/1.01 (assume @p145 (forall (@list @t20 @t19 @t1 @t2 @t3 @t257 @t21) (= (tptp.c_Fun_Ocomp @t20 (tptp.c_Fun_Ofun__upd @t19 @t1 @t2 @t3 @t257) @t257 @t21 @t3) (tptp.c_Fun_Ofun__upd (tptp.c_Fun_Ocomp @t20 @t19 @t257 @t21 @t3) @t1 @t284 @t3 @t21)))) % 0.49/1.01 (assume @p146 (forall @t299 (or @t285 @t298 @t232 @t52 @t99))) % 0.49/1.01 (assume @p147 (forall @t299 (or @t285 @t298 @t232 @t99 @t52))) % 0.49/1.01 (assume @p148 (forall (@list @t20 @t1 @t239 @t65 @t3 @t21) (or (not (= @t77 (tptp.hAPP @t20 @t239))) @t240 @t232 @t99 (= @t1 @t239)))) % 0.49/1.01 (assume @p149 (forall @t299 (or @t285 @t99 @t52 @t298 @t232))) % 0.49/1.01 (assume @p150 (forall @t10 (or @t61 @t300 @t84))) % 0.49/1.01 (assume @p151 (forall @t10 (or @t61 (not @t300) @t76))) % 0.49/1.01 (assume @p152 (forall @t10 (or @t61 (= @t6 @t2) @t123))) % 0.49/1.01 (assume @p153 (forall @t10 (or @t61 @t301))) % 0.49/1.01 (assume @p154 (forall @t10 (or @t9 @t301))) % 0.49/1.01 (assume @p155 (forall @t97 (or @t61 @t92 @t302))) % 0.49/1.01 (assume @p156 (forall (@list @t3 @t1 @t39 @t32) (or @t61 @t94 @t302))) % 0.49/1.01 (assume @p157 (forall @t62 (or @t61 @t305 @t304))) % 0.49/1.01 (assume @p158 (forall @t62 (or @t61 @t305 @t307))) % 0.49/1.01 (assume @p159 (forall @t91 (or @t61 @t76 @t308))) % 0.49/1.01 (assume @p160 (forall @t141 (or @t61 @t86 @t308))) % 0.49/1.01 (assume @p161 (forall @t148 (or @t18 (not @t309) @t149))) % 0.49/1.01 (assume @p162 (forall @t148 (or @t18 @t309 @t144))) % 0.49/1.01 (assume @p163 (forall (@list @t3 @t39 @t38 @t33 @t32) (or @t18 @t44 @t51 @t179 @t219))) % 0.49/1.01 (assume @p164 (forall @t290 (or @t113 @t130))) % 0.49/1.01 (assume @p165 (forall @t286 (or (not (= @t101 @t20)) (= @t77 @t2)))) % 0.49/1.01 (assume @p166 (forall (@list @t257 @t310 @t20 @t64 @t3 @t21) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t257)) (= (tptp.c_Finite__Set_Osetsum @t310 @t248 @t21 @t257) (tptp.c_Finite__Set_Osetsum (tptp.c_Fun_Ocomp @t310 @t20 @t21 @t257 @t3) @t64 @t3 @t257)) @t126))) % 0.49/1.01 (assume @p167 (forall @t283 (or @t282 (not (tptp.hBOOL (tptp.hAPP @t70 @t281))) @t181))) % 0.49/1.01 (assume @p168 (forall (@list @t20 @t64 @t3 @t21 @t65) (or @t125 @t247))) % 0.49/1.01 (assume @p169 (forall @t128 (or @t98 @t247))) % 0.49/1.01 (assume @p170 (forall @t97 (or @t314 @t313 (not (tptp.hBOOL (tptp.hAPP @t12 @t32)))))) % 0.49/1.01 (assume @p171 (forall @t97 (or @t314 @t313 (not (tptp.hBOOL (tptp.hAPP @t12 @t39)))))) % 0.49/1.01 (assume @p172 (forall @t16 (or @t270 (= (tptp.hAPP (tptp.hAPP @t4 @t315) @t1) @t315)))) % 0.49/1.01 (assume @p173 (forall @t16 (or @t270 (= (tptp.hAPP @t5 @t315) @t315)))) % 0.49/1.01 (assume @p174 (forall @t290 (not (tptp.hBOOL (tptp.hAPP @t66 @t145))))) % 0.49/1.01 (assume @p175 (forall @t114 (tptp.c_Finite__Set_Ofinite @t145 @t3))) % 0.49/1.01 (assume @p176 (forall (@list @t1 @t85 @t20 @t3 @t21) (or (= @t1 @t85) (not (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t145 @t1 @t3 @t21))))) % 0.49/1.01 (assume @p177 (forall (@list @t20 @t3 @t21) (tptp.c_Fun_Oinj__on @t20 @t145 @t3 @t21))) % 0.49/1.01 (assume @p178 (forall @t316 (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t145 @t85 @t3 @t21))) % 0.49/1.01 (assume @p179 (forall @t316 (tptp.c_Nitpick_Ofold__graph_H @t20 @t85 @t145 @t85 @t3 @t21))) % 0.49/1.01 (assume @p180 (forall @t318 (or @t317 @t181))) % 0.49/1.01 (assume @p181 (forall (@list @t65 @t3 @t32) (or @t130 (not @t317)))) % 0.49/1.01 (assume @p182 (forall (@list @t20 @t65 @t3 @t21 @t32) (or @t98 @t320))) % 0.49/1.01 (assume @p183 (forall (@list @t310 @t273 @t3 @t21) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t310 @t273 @t3 @t21) @t21) @t288))) % 0.49/1.01 (assume @p184 (forall @t237 (or (not (tptp.class_Ring__and__Field_Oring @t21)) @t322 @t183 @t181))) % 0.49/1.01 (assume @p185 (forall @t237 (or @t192 @t322 @t183 @t181))) % 0.49/1.01 (assume @p186 (forall (@list @t3 @t21 @t20 @t19 @t65) (or @t324 (= (tptp.c_Finite__Set_Osetsum (tptp.c_COMBS (tptp.hAPP (tptp.c_COMBB @t163 @t3 @t323 @t21) @t20) @t19 @t21 @t3 @t3) @t65 @t21 @t3) (tptp.hAPP (tptp.hAPP @t163 (tptp.c_Finite__Set_Osetsum @t20 @t65 @t21 @t3)) (tptp.c_Finite__Set_Osetsum @t19 @t65 @t21 @t3)))))) % 0.49/1.01 (assume @p187 (forall @t208 (or @t203 @t127 @t199 @t68))) % 0.49/1.01 (assume @p188 (forall @t208 (or @t203 @t127 @t199 @t205))) % 0.49/1.01 (assume @p189 (forall @t207 (or @t71 @t199 @t205 @t204))) % 0.49/1.01 (assume @p190 (forall @t227 (or @t17 (= (tptp.hAPP @t229 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t220 @t222 @t3)) @t325) @t223 @t221))) % 0.49/1.01 (assume @p191 (forall @t227 (or @t17 (= (tptp.hAPP (tptp.hAPP @t226 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t150 @t220 @t3)) @t225) @t325) @t223 @t221))) % 0.49/1.01 (assume @p192 (forall @t327 (or @t326 @t183 @t250))) % 0.49/1.01 (assume @p193 (forall (@list @t32 @t65 @t3 @t20 @t21) (or @t182 (not @t326) @t250))) % 0.49/1.01 (assume @p194 (forall (@list @t20 @t3 @t257 @t21 @t19) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage (tptp.hAPP (tptp.c_COMBB @t20 @t3 @t257 @t21) @t19) @t328 @t21 @t257) @t257) (not (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t19 @t328 @t21 @t3) @t3))))) % 0.49/1.01 (assume @p195 (forall @t330 (or @t329 @t127 @t250))) % 0.49/1.01 (assume @p196 (forall (@list @t3 @t65 @t64 @t21 @t20) (or @t71 (not @t329) @t250))) % 0.49/1.01 (assume @p197 (forall (@list @t20 @t3 @t65 @t64 @t21 @t132) (or @t334 @t135 @t332 (not (tptp.c_Fun_Oinj__on @t20 @t132 @t3 @t21))))) % 0.49/1.01 (assume @p198 (forall @t291 (or @t334 @t250))) % 0.49/1.01 (assume @p199 (forall @t148 (or @t195 (= (tptp.hAPP @t194 @t336) @t59)))) % 0.49/1.01 (assume @p200 (forall @t338 (or @t17 (tptp.hBOOL (tptp.hAPP @t75 @t337)) @t232 @t181))) % 0.49/1.01 (assume @p201 (forall @t340 (or @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t339) @t1)) @t232 @t181))) % 0.49/1.01 (assume @p202 (forall @t290 (or @t17 (tptp.hBOOL (tptp.c_in @t339 @t65 @t3)) @t238 @t181))) % 0.49/1.01 (assume @p203 (forall @t290 (or @t17 (tptp.hBOOL (tptp.c_in @t337 @t65 @t3)) @t238 @t181))) % 0.49/1.01 (assume @p204 (forall (@list @t20 @t32 @t65 @t3 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t20 @t259 @t3) @t1)) @t182 (not (tptp.c_Finite__Set_Ofold__graph @t20 @t32 @t65 @t1 @t3 @t3))))) % 0.49/1.01 (assume @p205 (forall @t91 (or @t314 @t341 @t143 @t87))) % 0.49/1.01 (assume @p206 (forall @t105 (or @t314 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t209) @t1)) (not @t342) @t123))) % 0.49/1.01 (assume @p207 (forall @t56 (or @t314 @t343))) % 0.49/1.01 (assume @p208 (forall @t10 (or @t314 @t344))) % 0.49/1.01 (assume @p209 (forall @t62 (or @t314 @t345 @t307 @t304))) % 0.49/1.01 (assume @p210 (forall @t348 (or @t347 @t135 @t332))) % 0.49/1.01 (assume @p211 (forall @t72 (tptp.hBOOL (tptp.hAPP @t70 @t246)))) % 0.49/1.01 (assume @p212 (forall @t349 (tptp.hBOOL (tptp.hAPP @t133 @t246)))) % 0.49/1.01 (assume @p213 (forall @t91 (or @t9 @t351))) % 0.49/1.01 (assume @p214 (forall @t91 (or @t9 @t352))) % 0.49/1.01 (assume @p215 (forall @t91 (or @t314 @t352))) % 0.49/1.01 (assume @p216 (forall @t91 (or @t314 @t351))) % 0.49/1.01 (assume @p217 (forall @t348 (= (tptp.hAPP (tptp.hAPP @t226 @t246) @t132) @t355))) % 0.49/1.01 (assume @p218 (forall @t348 (= @t355 (tptp.hAPP @t353 (tptp.hAPP @t245 @t132))))) % 0.49/1.01 (assume @p219 (forall (@list @t3 @t20 @t65 @t21 @t64) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 (tptp.hAPP (tptp.hAPP @t189 @t169) @t357)) (tptp.c_Set_Oimage @t20 (tptp.hAPP @t356 @t64) @t21 @t3))))) % 0.49/1.01 (assume @p220 (forall (@list @t3 @t1 @t161 @t160) (or @t324 (not (= @t358 @t164)) (= @t161 @t160)))) % 0.49/1.01 (assume @p221 (forall (@list @t3 @t239 @t2 @t1) (or @t324 (not (= (tptp.hAPP (tptp.hAPP @t163 @t239) @t2) @t358)) (= @t239 @t2)))) % 0.49/1.01 (assume @p222 (forall @t78 (tptp.hBOOL (tptp.c_in @t77 (tptp.c_Set_Oimage @t20 @t328 @t21 @t3) @t3)))) % 0.49/1.01 (assume @p223 (forall @t72 (= (tptp.hAPP @t359 @t64) @t191))) % 0.49/1.01 (assume @p224 (forall (@list @t363 @t362 @t360) (not (= @t364 @t361)))) % 0.49/1.01 (assume @p225 (forall (@list @t365 @t3 @t21 @t366) (= (tptp.hAPP (tptp.c_COMBK @t365 @t3 @t21) @t366) @t365))) % 0.49/1.01 (assume @p226 (forall (@list @t3 @t365) (= (tptp.hAPP @t289 @t365) @t365))) % 0.49/1.01 (assume @p227 (forall (@list @t365 @t21 @t257 @t3 @t366 @t367) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t365 @t21 @t257 @t3) @t366) @t367) (tptp.hAPP @t368 @t366)))) % 0.49/1.01 (assume @p228 (forall (@list @t369 @t1 @t3) (or @t371 (not @t370)))) % 0.49/1.01 (assume @p229 (forall (@list @t1 @t369 @t3) (or @t370 (not @t371)))) % 0.49/1.01 (assume @p230 (forall @t374 (= (tptp.hAPP @t190 @t373) @t65))) % 0.49/1.01 (assume @p231 (forall @t16 (or @t314 (= (tptp.hAPP @t8 @t1) @t1)))) % 0.49/1.01 (assume @p232 (forall @t290 (= (tptp.hAPP @t245 @t65) @t65))) % 0.49/1.01 (assume @p233 (forall (@list @t21 @t20 @t19) (or (not (tptp.class_Lattices_Olattice @t21)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t376) @t20) @t19) tptp.v_x) (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t21) (tptp.hAPP @t20 tptp.v_x)) @t375))))) % 0.49/1.01 (assume @p234 (forall (@list @t360 @t363 @t362) (not (= @t361 @t364)))) % 0.49/1.01 (assume @p235 (forall (@list @t20 @t1 @t64 @t3 @t65 @t21) (or (tptp.hBOOL (tptp.c_in @t77 @t64 @t3)) @t377 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t169) @t64)))))) % 0.49/1.01 (assume @p236 (forall @t208 (or @t382 @t232 @t379))) % 0.49/1.01 (assume @p237 (forall @t208 (or @t378 @t232 @t383))) % 0.49/1.01 (assume @p238 (forall @t283 (= (tptp.c_Finite__Set_Ofold1 @t20 @t65 @t3) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t20 @t65 @t3) @t3)))) % 0.49/1.01 (assume @p239 (forall (@list @t21 @t384 @t242 @t65 @t3) (or @t386 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t385 (tptp.hAPP @t384 @t242)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 @t384 @t3 @t21))) (not (tptp.hBOOL (tptp.c_in @t242 @t65 @t3)))))) % 0.49/1.01 (assume @p240 (forall (@list @t21 @t64 @t32 @t65 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t387) @t231)) @t183))) % 0.49/1.01 (assume @p241 (forall @t390 (or (= @t389 @t191) @t206))) % 0.49/1.01 (assume @p242 (forall (@list @t267 @t3 @t261 @t268 @t266 @t265 @t264 @t263 @t262) (or (= (tptp.hAPP @t267 @t112) @t261) @t269))) % 0.49/1.01 (assume @p243 (forall (@list @t268 @t3 @t262 @t267 @t266 @t265 @t264 @t263 @t261) (or (= (tptp.hAPP @t268 @t112) @t262) @t269))) % 0.49/1.01 (assume @p244 (forall @t394 (not (= @t393 tptp.c_Com_Ocom_OSKIP)))) % 0.49/1.01 (assume @p245 (forall (@list @t360 @t396 @t395) (not (= @t361 @t397)))) % 0.49/1.01 (assume @p246 (forall (@list @t365 @t3) (= @t398 @t365))) % 0.49/1.01 (assume @p247 (forall @t404 (or @t403 @t400))) % 0.49/1.01 (assume @p248 (forall @t404 (or @t403 @t405))) % 0.49/1.01 (assume @p249 (forall (@list @t363 @t362 @t392 @t391) (not (= @t364 @t393)))) % 0.49/1.01 (assume @p250 (forall @t260 (or @t195 (= (tptp.hAPP @t406 @t259) (tptp.hAPP @t311 @t407))))) % 0.49/1.01 (assume @p251 (forall @t16 (or @t270 (= (tptp.hAPP @t8 @t193) @t193)))) % 0.49/1.01 (assume @p252 (forall @t16 (or @t270 (= (tptp.hAPP (tptp.hAPP @t7 @t193) @t1) @t193)))) % 0.49/1.01 (assume @p253 (forall (@list @t3 @t110 @t21 @t20) (or @t195 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_List_Oset @t110 @t21) @t20 @t21 @t3) (tptp.c_List_Ofoldl (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBB @t7 @t3 @t323 @t21) @t20) @t21 @t3 @t3) @t315 @t110 @t3 @t21))))) % 0.49/1.01 (assume @p254 (forall (@list @t20 @t32 @t3 @t65 @t21) (or (not @t408) @t320))) % 0.49/1.01 (assume @p255 (forall @t327 (or @t319 @t408 @t99))) % 0.49/1.01 (assume @p256 (forall @t218 (or (= @t217 (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oimage @t20 (tptp.hAPP @t356 (tptp.c_Set_Oinsert @t1 @t372 @t21)) @t21 @t3) @t3)) @t377))) % 0.49/1.01 (assume @p257 (forall @t208 (or @t203 @t127 @t410 @t205))) % 0.49/1.01 (assume @p258 (forall @t412 (or @t17 (= (tptp.hAPP (tptp.hAPP @t226 (tptp.c_Set_Oinsert @t150 @t145 @t3)) @t224) @t325) @t411))) % 0.49/1.01 (assume @p259 (forall @t412 (or @t17 (= (tptp.hAPP (tptp.hAPP @t226 @t228) (tptp.c_Set_Oinsert @t222 @t145 @t3)) @t325) @t411))) % 0.49/1.01 (assume @p260 (forall (@list @t3 @t384 @t413) (or @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.c_Finite__Set_Olinorder__class_OMax @t384 @t3)) (tptp.c_Finite__Set_Olinorder__class_OMax @t413 @t3))) @t416 @t415 @t414))) % 0.49/1.01 (assume @p261 (forall (@list @t3 @t413 @t384) (or @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 (tptp.c_Finite__Set_Olinorder__class_OMin @t413 @t3)) (tptp.c_Finite__Set_Olinorder__class_OMin @t384 @t3))) @t416 @t415 @t414))) % 0.49/1.01 (assume @p262 (forall @t196 (or @t195 (= (tptp.hAPP @t406 @t111) (tptp.c_List_Ofoldl @t7 @t315 @t110 @t3 @t3))))) % 0.49/1.01 (assume @p263 (forall @t114 (or @t195 (tptp.c_Complete__Lattice_Ocomplete__lattice @t406 @t194 (tptp.c_COMBC @t34 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t11 @t3 @t3 tptp.tc_bool) @t7 @t4 @t193 @t315 @t3)))) % 0.49/1.01 (assume @p264 (forall @t208 (or @t203 @t127 @t410 @t68))) % 0.49/1.01 (assume @p265 (forall @t417 (or (tptp.c_Nitpick_Ofold__graph_H @t20 @t85 @t65 @t200 @t3 @t21) (not (tptp.c_Nitpick_Ofold__graph_H @t20 @t85 @t381 @t2 @t3 @t21)) @t232))) % 0.49/1.01 (assume @p266 (forall @t208 (or @t409 @t232 @t205 @t204))) % 0.49/1.01 (assume @p267 (forall @t208 (or @t203 @t232 @t410 @t205))) % 0.49/1.01 (assume @p268 (forall @t208 (or @t203 @t232 @t410 @t68))) % 0.49/1.01 (assume @p269 (forall (@list @t20 @t3 @t65 @t32) (or (= (tptp.c_Finite__Set_Osetsum @t20 @t235 @t3 tptp.tc_nat) (tptp.c_Finite__Set_Osetsum @t20 @t65 @t3 tptp.tc_nat)) @t182))) % 0.49/1.01 (assume @p270 (forall @t417 (or (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t65 @t200 @t3 @t21) @t232 (not (tptp.c_Finite__Set_Ofold__graph @t20 @t85 @t381 @t2 @t3 @t21))))) % 0.49/1.01 (assume @p271 (forall @t56 (or @t9 @t343))) % 0.49/1.01 (assume @p272 (forall @t10 (or @t9 @t344))) % 0.49/1.01 (assume @p273 (forall (@list @t267 @t268 @t266 @t3 @t265 @t263 @t264 @t261 @t262) (or (tptp.c_Complete__Lattice_Ocomplete__lattice @t267 @t268 (tptp.c_COMBC @t266 @t3 @t3 tptp.tc_bool) (tptp.c_COMBC @t265 @t3 @t3 tptp.tc_bool) @t263 @t264 @t261 @t262 @t3) @t269))) % 0.49/1.01 (assume @p274 (forall @t72 (or (= @t420 @t64) @t127))) % 0.49/1.01 (assume @p275 (forall @t422 (not (= tptp.c_Com_Ocom_OSKIP @t421)))) % 0.49/1.01 (assume @p276 (forall @t72 (tptp.hBOOL (tptp.hAPP @t423 @t65)))) % 0.49/1.01 (assume @p277 (forall (@list @t32 @t365 @t3) (or @t425 (not @t424)))) % 0.49/1.01 (assume @p278 (forall (@list @t365 @t32 @t3) (or @t424 (not @t425)))) % 0.49/1.01 (assume @p279 (forall @t427 (or @t426 @t295 @t294))) % 0.49/1.01 (assume @p280 (forall @t430 (or @t205 @t429))) % 0.49/1.01 (assume @p281 (forall (@list @t65 @t33 @t3 @t21) (or (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 @t432 @t21 @t30) @t33) @t431))) % 0.49/1.01 (assume @p282 (forall (@list @t21 @t65 @t384 @t3) (or @t386 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 (tptp.c_COMBK @t384 @t21 @t3) @t3 @t21) @t384) @t238))) % 0.49/1.01 (assume @p283 (forall @t208 (or @t378 @t127 @t199))) % 0.49/1.01 (assume @p284 (forall @t207 (or @t71 @t199 @t379))) % 0.49/1.01 (assume @p285 (forall @t207 (or @t71 @t379 @t199))) % 0.49/1.01 (assume @p286 (forall (@list @t39 @t65 @t64 @t21 @t3 @t1) (or (tptp.hBOOL (tptp.c_in @t39 @t433 @t3)) (not (tptp.hBOOL (tptp.c_in @t39 @t233 @t3))) @t377))) % 0.49/1.01 (assume @p287 (forall (@list @t39 @t65 @t64 @t3 @t21 @t32) (or (tptp.hBOOL (tptp.c_in @t39 @t231 @t21)) (not (tptp.hBOOL (tptp.c_in @t39 @t387 @t21))) @t183))) % 0.49/1.01 (assume @p288 (forall @t349 (= (tptp.hAPP (tptp.hAPP @t226 @t419) @t65) @t434))) % 0.49/1.01 (assume @p289 (forall @t72 (= @t420 @t246))) % 0.49/1.01 (assume @p290 (forall (@list @t21 @t33 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t372 @t432 @t21 @t30) @t145))) % 0.49/1.01 (assume @p291 (forall (@list @t21 @t65 @t64) (or (not (tptp.class_HOL_Ominus @t21)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t376) @t65) @t64) tptp.v_x) (tptp.hAPP (tptp.hAPP @t187 (tptp.hAPP @t65 tptp.v_x)) (tptp.hAPP @t64 tptp.v_x)))))) % 0.49/1.01 (assume @p292 (forall @t348 (= (tptp.hAPP (tptp.hAPP @t189 @t246) @t132) (tptp.hAPP (tptp.hAPP @t226 (tptp.hAPP @t190 @t132)) (tptp.hAPP @t418 @t132))))) % 0.49/1.01 (assume @p293 (forall @t438 (= @t251 (tptp.hAPP (tptp.hAPP @t226 @t437) @t64)))) % 0.49/1.01 (assume @p294 (forall (@list @t266 @t268 @t65 @t1 @t3 @t267 @t265 @t264 @t263 @t262 @t261) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t266 @t439) @t1)) @t232 @t269))) % 0.49/1.01 (assume @p295 (forall (@list @t266 @t1 @t267 @t65 @t3 @t268 @t265 @t264 @t263 @t262 @t261) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t266 @t1) @t440)) @t232 @t269))) % 0.49/1.01 (assume @p296 (forall @t72 (= @t246 @t434))) % 0.49/1.01 (assume @p297 (forall @t10 (or @t314 @t441))) % 0.49/1.01 (assume @p298 (forall @t10 (or @t9 @t441))) % 0.49/1.01 (assume @p299 (forall (@list @t442 @t360) (or (not (= (tptp.c_Com_Ocom_OBODY @t442) @t361)) (= @t442 @t360)))) % 0.49/1.01 (assume @p300 (forall @t445 (or @t444 @t443))) % 0.49/1.01 (assume @p301 (forall @t445 (or @t444 @t446))) % 0.49/1.01 (assume @p302 (forall @t72 (= (tptp.hAPP @t245 @t246) @t246))) % 0.49/1.01 (assume @p303 (forall @t10 (or @t314 @t447))) % 0.49/1.01 (assume @p304 (forall @t10 (or @t9 @t447))) % 0.49/1.01 (assume @p305 (forall @t422 (not (= @t421 tptp.c_Com_Ocom_OSKIP)))) % 0.49/1.01 (assume @p306 (forall (@list @t65 @t64 @t3 @t21 @t39 @t1) (or @t448 (not (tptp.hBOOL (tptp.hAPP @t233 @t39))) @t232))) % 0.49/1.01 (assume @p307 (forall (@list @t65 @t64 @t3 @t21 @t39 @t32) (or @t448 (not (tptp.hBOOL (tptp.hAPP @t387 @t39))) @t183))) % 0.49/1.01 (assume @p308 (forall (@list @t392 @t391 @t396 @t363 @t362) (not (= @t393 @t449)))) % 0.49/1.01 (assume @p309 (forall @t450 (not (= tptp.c_Com_Ocom_OSKIP @t361)))) % 0.49/1.01 (assume @p310 (forall @t390 (or (= @t389 (tptp.c_Set_Oinsert @t1 @t191 @t3)) @t205))) % 0.49/1.01 (assume @p311 (forall @t114 (or @t195 (= (tptp.hAPP @t406 @t112) @t193)))) % 0.49/1.01 (assume @p312 (forall @t348 (or @t452 (not @t451)))) % 0.49/1.01 (assume @p313 (forall @t348 (or @t451 (not @t452)))) % 0.49/1.01 (assume @p314 (forall (@list @t21 @t20 @t1 @t19 @t3) (or @t28 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t385 @t77) @t453)) @t25))) % 0.49/1.01 (assume @p315 (forall @t16 (or @t270 (= (tptp.hAPP (tptp.hAPP @t7 @t315) @t1) @t1)))) % 0.49/1.01 (assume @p316 (forall @t16 (or @t270 (= (tptp.hAPP @t8 @t315) @t1)))) % 0.49/1.01 (assume @p317 (forall @t16 (or (not (tptp.class_Orderings_Obot @t3)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t315) @t1))))) % 0.49/1.01 (assume @p318 (forall @t72 (or @t270 @t454 (= @t65 @t315)))) % 0.49/1.01 (assume @p319 (forall @t72 (or @t270 @t454 (= @t64 @t315)))) % 0.49/1.01 (assume @p320 (forall @t114 (= (tptp.hAPP @t455 @t145) @t145))) % 0.49/1.01 (assume @p321 (forall (@list @t268 @t3 @t261 @t267 @t266 @t265 @t264 @t263 @t262) (or (= (tptp.hAPP @t268 @t145) @t261) @t269))) % 0.49/1.01 (assume @p322 (forall (@list @t267 @t3 @t262 @t268 @t266 @t265 @t264 @t263 @t261) (or (= (tptp.hAPP @t267 @t145) @t262) @t269))) % 0.49/1.01 (assume @p323 (forall (@list @t3 @t365 @t1) (or (not (= @t145 @t398)) @t457))) % 0.49/1.01 (assume @p324 (forall @t459 @t458)) % 0.49/1.01 (assume @p325 (forall @t460 (or @t456 @t458))) % 0.49/1.01 (assume @p326 (forall (@list @t33 @t3) (not (tptp.hBOOL (tptp.c_in @t33 @t145 @t3))))) % 0.49/1.01 (assume @p327 (forall (@list @t32 @t3) (not (tptp.hBOOL (tptp.c_in @t32 @t145 @t3))))) % 0.49/1.01 (assume @p328 (forall @t114 (tptp.hBOOL (tptp.hAPP @t461 @t145)))) % 0.49/1.01 (assume @p329 (forall (@list @t65 @t3) (or @t238 (not (tptp.hBOOL (tptp.hAPP @t70 @t145)))))) % 0.49/1.01 (assume @p330 (forall (@list @t365 @t3 @t1) (or (not (= @t398 @t145)) @t457))) % 0.49/1.01 (assume @p331 (forall (@list @t20 @t3 @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t20 @t145 @t3) @t1))))) % 0.49/1.01 (assume @p332 (forall @t114 (not (= @t112 @t145)))) % 0.49/1.01 (assume @p333 (forall @t290 (= (tptp.hAPP (tptp.hAPP @t189 @t145) @t65) @t145))) % 0.49/1.01 (assume @p334 (forall @t290 (= (tptp.hAPP @t245 @t145) @t65))) % 0.49/1.01 (assume @p335 (forall @t462 (= (tptp.hAPP @t455 @t64) @t64))) % 0.49/1.01 (assume @p336 (forall @t290 (= (tptp.hAPP @t190 @t65) @t145))) % 0.49/1.01 (assume @p337 (forall @t290 (= (tptp.hAPP @t190 @t145) @t65))) % 0.49/1.01 (assume @p338 (forall @t290 (tptp.hBOOL (tptp.hAPP @t461 @t65)))) % 0.49/1.01 (assume @p339 (forall @t460 (or @t457 @t458))) % 0.49/1.01 (assume @p340 (forall @t72 (or @t463 (= @t64 @t145)))) % 0.49/1.01 (assume @p341 (forall @t72 (or @t463 @t238))) % 0.49/1.01 (assume @p342 (forall @t464 (= @t437 @t234))) % 0.49/1.01 (assume @p343 (forall @t466 (or (= @t465 @t65) @t183))) % 0.49/1.01 (assume @p344 (forall @t148 (or @t195 (= (tptp.hAPP @t406 @t336) @t312)))) % 0.49/1.01 (assume @p345 (forall @t208 (or @t378 @t127 @t383))) % 0.49/1.01 (assume @p346 (forall @t338 (or (= (tptp.hAPP @t388 @t380) @t65) @t199))) % 0.49/1.01 (assume @p347 (forall (@list @t3 @t32 @t132 @t467) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 (tptp.c_Set_Oinsert @t32 @t132 @t3)) (tptp.c_Set_Oinsert @t32 @t467 @t3))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t132) @t467)))))) % 0.49/1.01 (assume @p348 (forall (@list @t32 @t39 @t65 @t3) (or @t468 @t183))) % 0.49/1.01 (assume @p349 (forall (@list @t32 @t39 @t64 @t3) (or (tptp.hBOOL (tptp.c_in @t32 @t469 @t3)) (not (tptp.hBOOL (tptp.c_in @t32 @t64 @t3)))))) % 0.49/1.01 (assume @p350 (forall (@list @t268 @t32 @t65 @t3 @t264 @t267 @t266 @t265 @t263 @t262 @t261) (or (= (tptp.hAPP @t268 @t259) (tptp.hAPP @t470 @t439)) @t269))) % 0.49/1.01 (assume @p351 (forall (@list @t267 @t32 @t65 @t3 @t263 @t268 @t266 @t265 @t264 @t262 @t261) (or (= (tptp.hAPP @t267 @t259) (tptp.hAPP @t471 @t440)) @t269))) % 0.49/1.01 (assume @p352 (forall (@list @t32 @t65 @t3 @t39) (or @t182 @t172 (not @t468)))) % 0.49/1.01 (assume @p353 (forall (@list @t3 @t64 @t32) (tptp.hBOOL (tptp.hAPP @t133 @t251)))) % 0.49/1.01 (assume @p354 (forall @t256 (= (tptp.hAPP @t245 @t251) (tptp.c_Set_Oinsert @t32 @t246 @t3)))) % 0.49/1.01 (assume @p355 (forall (@list @t3 @t32 @t64 @t132) (= (tptp.hAPP (tptp.hAPP @t226 @t251) @t132) (tptp.c_Set_Oinsert @t32 @t354 @t3)))) % 0.49/1.01 (assume @p356 (forall (@list @t3 @t65 @t39 @t64) (or (tptp.hBOOL (tptp.hAPP @t70 @t469)) @t127))) % 0.49/1.01 (assume @p357 (forall @t207 (or @t71 @t429))) % 0.49/1.01 (assume @p358 (forall @t472 (tptp.hBOOL (tptp.c_in @t1 @t201 @t3)))) % 0.49/1.01 (assume @p359 (forall @t438 (tptp.hBOOL (tptp.c_in @t32 @t251 @t3)))) % 0.49/1.01 (assume @p360 (forall (@list @t1 @t64 @t3) (tptp.hBOOL (tptp.c_in @t1 @t202 @t3)))) % 0.49/1.01 (assume @p361 (forall (@list @t1 @t65 @t3 @t64) (or (not (= @t201 @t202)) @t205 @t199 @t175))) % 0.49/1.01 (assume @p362 (forall @t318 (or (= @t259 @t65) @t183))) % 0.49/1.01 (assume @p363 (forall (@list @t20 @t21 @t65 @t64 @t3) (= (tptp.c_Set_Oimage @t20 @t474 @t21 @t3) (tptp.hAPP (tptp.hAPP @t226 @t169) @t357)))) % 0.49/1.01 (assume @p364 (forall (@list @t21 @t1 @t65 @t3 @t20) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t244 @t1) @t65))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 (tptp.c_Set_Oimage @t20 @t1 @t21 @t3)) @t169))))) % 0.49/1.01 (assume @p365 (forall @t330 (or @t329 @t127))) % 0.49/1.01 (assume @p366 (forall (@list @t20 @t19 @t257 @t3 @t21 @t475) (= (tptp.c_Set_Oimage (tptp.c_Fun_Ocomp @t20 @t19 @t257 @t3 @t21) @t475 @t21 @t3) (tptp.c_Set_Oimage @t20 (tptp.c_Set_Oimage @t19 @t475 @t21 @t257) @t257 @t3)))) % 0.49/1.01 (assume @p367 (forall (@list @t3 @t476) (= (tptp.c_Set_Oimage @t289 @t476 @t3 @t3) @t476))) % 0.49/1.01 (assume @p368 (forall (@list @t1 @t65 @t80 @t20 @t3) (or (not (tptp.hBOOL (tptp.c_in @t1 @t65 @t80))) (tptp.hBOOL (tptp.c_in @t77 (tptp.c_Set_Oimage @t20 @t65 @t80 @t3) @t3))))) % 0.49/1.01 (assume @p369 (forall @t462 (= (tptp.hAPP (tptp.hAPP @t226 @t112) @t64) @t112))) % 0.49/1.01 (assume @p370 (forall @t290 (= (tptp.hAPP @t245 @t112) @t112))) % 0.49/1.01 (assume @p371 (forall (@list @t363 @t362 @t392 @t401 @t399) (not (= @t364 @t421)))) % 0.49/1.01 (assume @p372 (forall (@list @t65 @t64 @t21 @t3 @t1) (or (not (= @t433 @t145)) @t477 @t377))) % 0.49/1.01 (assume @p373 (forall (@list @t396 @t363 @t362 @t392 @t391) (not (= @t449 @t393)))) % 0.49/1.01 (assume @p374 (forall (@list @t33 @t65 @t3 @t64) (or @t293 @t478))) % 0.49/1.01 (assume @p375 (forall @t296 (or @t479 @t478))) % 0.49/1.01 (assume @p376 (forall (@list @t3 @t65 @t1 @t64 @t480 @t21) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t481) @t64)) (not (tptp.hBOOL (tptp.c_in @t1 @t480 @t21))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t480 @t65 @t21 @t30)) @t64)))))) % 0.49/1.01 (assume @p377 (forall (@list @t33 @t21 @t257 @t20) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t33 @t21 @t257) @t20 @t257 @t21 tptp.t_a) tptp.v_x) @t33))) % 0.49/1.01 (assume @p378 (forall @t464 (= (tptp.c_The @t436 @t3) @t32))) % 0.49/1.01 (assume @p379 (forall (@list @t392 @t401 @t399 @t363 @t362) (not (= @t421 @t364)))) % 0.49/1.01 (assume @p380 (forall (@list @t21 @t65 @t151 @t480 @t3) (or (= (tptp.hAPP (tptp.hAPP @t473 (tptp.hAPP @t65 @t151)) @t482) @t482) (not (tptp.hBOOL (tptp.c_in @t151 @t480 @t3)))))) % 0.49/1.01 (assume @p381 (forall @t484 (or @t483 @t400))) % 0.49/1.01 (assume @p382 (forall @t484 (or @t483 @t405))) % 0.49/1.01 (assume @p383 (forall @t484 (or @t483 @t443))) % 0.49/1.01 (assume @p384 (forall @t50 (or @t18 @t485 @t42 @t37))) % 0.49/1.01 (assume @p385 (forall @t214 (or @t18 @t41 @t179 @t486))) % 0.49/1.01 (assume @p386 (forall @t215 (or @t18 @t36 @t179 @t486))) % 0.49/1.01 (assume @p387 (forall @t459 (tptp.hBOOL (tptp.c_in @t1 @t112 @t3)))) % 0.49/1.01 (assume @p388 (forall (@list @t20 @t19 @t21 @t3 @t257 @t1) (= @t488 @t487))) % 0.49/1.01 (assume @p389 (forall (@list @t32 @t39 @t489 @t257 @t21 @t3) (= @t491 (tptp.hAPP @t490 @t489)))) % 0.49/1.01 (assume @p390 (forall @t50 (or @t18 @t485 @t178))) % 0.49/1.01 (assume @p391 (forall (@list @t64 @t1 @t65 @t3) (or @t494 @t493 (not @t492)))) % 0.49/1.01 (assume @p392 (forall @t207 (or @t492 (not @t494)))) % 0.49/1.01 (assume @p393 (forall @t207 (or @t492 @t495))) % 0.49/1.01 (assume @p394 (forall @t296 (or @t295 @t293 (not @t496)))) % 0.49/1.01 (assume @p395 (forall (@list @t396 @t363 @t362 @t360) (not (= @t449 @t361)))) % 0.49/1.01 (assume @p396 (forall (@list @t360 @t396 @t363 @t362) (not (= @t361 @t449)))) % 0.49/1.01 (assume @p397 (forall (@list @t3 @t65 @t64 @t21 @t1) (or (not (= @t145 @t433)) @t477 @t377))) % 0.49/1.01 (assume @p398 (forall (@list @t3 @t21 @t65 @t64) (= (tptp.hAPP (tptp.hAPP @t226 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t372 @t65 @t21 @t30)) @t64) @t64))) % 0.49/1.01 (assume @p399 (forall @t374 (= (tptp.hAPP @t245 @t373) @t65))) % 0.49/1.01 (assume @p400 (forall @t394 (not (= tptp.c_Com_Ocom_OSKIP @t393)))) % 0.49/1.01 (assume @p401 (forall @t498 (or (tptp.hBOOL (tptp.hAPP @t423 (tptp.hAPP @t497 @t467))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t467) @t64))) @t332))) % 0.49/1.01 (assume @p402 (forall @t114 (or @t195 (= (tptp.hAPP @t194 @t112) @t315)))) % 0.49/1.01 (assume @p403 (forall @t16 (tptp.hBOOL (tptp.hAPP @t112 @t1)))) % 0.49/1.01 (assume @p404 (forall @t499 (or (not (tptp.class_Orderings_Otop @t21)) (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t376) tptp.v_x) (tptp.c_Orderings_Otop__class_Otop @t21))))) % 0.49/1.01 (assume @p405 (forall @t176 (or @t175 @t185 @t127))) % 0.49/1.01 (assume @p406 (forall @t10 (or @t18 @t52 @t123 @t84))) % 0.49/1.01 (assume @p407 (forall @t10 (or @t18 @t52 @t84 @t123))) % 0.49/1.01 (assume @p408 (forall @t10 (or @t314 (= @t57 @t1) @t123))) % 0.49/1.01 (assume @p409 (forall @t10 (or @t314 (not @t500) @t76))) % 0.49/1.01 (assume @p410 (forall @t10 (or @t314 @t500 @t84))) % 0.49/1.01 (assume @p411 (forall @t72 (or @t501 @t127))) % 0.49/1.01 (assume @p412 (forall @t72 (or (= @t246 @t65) @t185))) % 0.49/1.01 (assume @p413 (forall @t72 (or (not @t501) @t71))) % 0.49/1.01 (assume @p414 (= (tptp.hAPP @t502 tptp.v_x) (tptp.c_in tptp.v_x @t502 tptp.t_a))) % 0.49/1.01 (assume @p415 (forall (@list @t32 @t65 @t21 @t64 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t32 @t65 @t21) @t64 @t21 @t30) (tptp.hAPP (tptp.hAPP @t226 @t387) @t433)))) % 0.49/1.01 (assume @p416 (forall @t340 (or @t195 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t34 @t258) @t1)) @t232))) % 0.49/1.01 (assume @p417 (forall @t148 (or @t18 @t503 @t178))) % 0.49/1.01 (assume @p418 (forall @t148 (or @t18 (not @t503) @t179))) % 0.49/1.01 (assume @p419 (forall @t290 (= (tptp.hAPP @t190 @t112) @t145))) % 0.49/1.01 (assume @p420 (forall @t498 (or (tptp.hBOOL (tptp.hAPP @t346 (tptp.hAPP (tptp.hAPP @t226 @t132) @t467))) (not (tptp.hBOOL (tptp.hAPP @t133 @t467))) @t332))) % 0.49/1.01 (assume @p421 (forall @t290 (tptp.hBOOL (tptp.hAPP @t70 @t112)))) % 0.49/1.01 (assume @p422 (forall @t16 (or (not (tptp.class_Orderings_Otop @t3)) (tptp.hBOOL (tptp.hAPP @t75 @t193))))) % 0.49/1.01 (assume @p423 (forall (@list @t20 @t19 @t310 @t504 @t257 @t3 @t21) (= (tptp.c_Fun_Ocomp @t20 (tptp.c_Fun_Ocomp @t19 @t310 @t504 @t257 @t3) @t257 @t21 @t3) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t20 @t19 @t257 @t21 @t504) @t310 @t504 @t21 @t3)))) % 0.49/1.01 (assume @p424 (forall @t505 (not (= @t402 tptp.c_Com_Ocom_OSKIP)))) % 0.49/1.01 (assume @p425 (forall (@list @t20 @t19 @t257 @t21) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t20 @t19 @t257 @t21 tptp.t_a) tptp.v_x) (tptp.hAPP @t20 @t375)))) % 0.49/1.01 (assume @p426 (forall @t390 (or @t428 @t127 @t206))) % 0.49/1.01 (assume @p427 (forall @t114 (or @t195 (= (tptp.hAPP @t194 @t145) @t193)))) % 0.49/1.01 (assume @p428 (forall (@list @t392 @t391 @t363 @t362) (not (= @t393 @t364)))) % 0.49/1.01 (assume @p429 (forall @t427 (or @t496 @t479))) % 0.49/1.01 (assume @p430 (forall @t427 (or @t496 @t294))) % 0.49/1.01 (assume @p431 (forall (@list @t65 @t3 @t21) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 (tptp.c_COMBK @t145 @t30 @t21) @t21 @t30) @t145))) % 0.49/1.01 (assume @p432 (forall @t105 (or @t314 @t142 @t506))) % 0.49/1.01 (assume @p433 (forall @t141 (or @t314 @t86 @t506))) % 0.49/1.01 (assume @p434 (forall @t97 (or @t314 @t507 @t95))) % 0.49/1.01 (assume @p435 (forall @t97 (or @t314 @t507 @t93))) % 0.49/1.01 (assume @p436 (forall (@list @t3 @t39 @t1 @t32) (or @t314 @t306 @t508))) % 0.49/1.01 (assume @p437 (forall (@list @t3 @t32 @t1 @t39) (or @t314 @t303 @t508))) % 0.49/1.01 (assume @p438 (forall @t137 (or @t331 @t509))) % 0.49/1.01 (assume @p439 (forall @t510 (or @t134 @t509))) % 0.49/1.01 (assume @p440 (forall @t120 (or @t18 @t342 @t117 @t123))) % 0.49/1.01 (assume @p441 (forall @t141 (or @t15 @t86 @t143 @t84))) % 0.49/1.01 (assume @p442 (forall @t430 (or @t205 @t232 @t127))) % 0.49/1.01 (assume @p443 (forall @t296 (or @t295 @t294 @t127))) % 0.49/1.01 (assume @p444 (forall @t16 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t69 @t1) @t1)))) % 0.49/1.01 (assume @p445 (forall @t430 (or @t205 @t127 @t232))) % 0.49/1.01 (assume @p446 (forall (@list @t511 @t64 @t3 @t65) (or (tptp.hBOOL (tptp.c_in @t511 @t64 @t3)) (not (tptp.hBOOL (tptp.c_in @t511 @t65 @t3))) @t127))) % 0.49/1.01 (assume @p447 (forall @t290 (tptp.hBOOL (tptp.hAPP @t70 @t65)))) % 0.49/1.01 (assume @p448 (forall @t137 (or @t331 @t135 @t127))) % 0.49/1.01 (assume @p449 (forall (@list @t366 @t1 @t365 @t3) (or @t513 @t457 @t512))) % 0.49/1.01 (assume @p450 (forall @t16 (or @t18 @t297))) % 0.49/1.01 (assume @p451 (forall @t16 (or @t15 @t297))) % 0.49/1.01 (assume @p452 (forall (@list @t366 @t1 @t3 @t365) (or @t513 @t512 @t457))) % 0.49/1.01 (assume @p453 (forall @t148 (or @t18 @t243 @t178))) % 0.49/1.01 (assume @p454 (forall @t148 (or @t18 (not @t243) @t179))) % 0.49/1.01 (assume @p455 (forall (@list @t396 @t395 @t360) (not (= @t397 @t361)))) % 0.49/1.01 (assume @p456 (forall @t450 (not (= @t361 tptp.c_Com_Ocom_OSKIP)))) % 0.49/1.01 (assume @p457 (forall (@list @t32 @t39 @t257 @t21 @t3 @t33 @t38 @t504 @t489) (or (not (= @t490 (tptp.c_Fun_Ocomp @t33 @t38 @t504 @t21 @t3))) (= @t491 (tptp.hAPP @t33 (tptp.hAPP @t38 @t489)))))) % 0.49/1.01 (assume @p458 (forall (@list @t20 @t19 @t1 @t516 @t515 @t161 @t21 @t3 @t257 @t504 @t514) (or (not (= @t487 (tptp.hAPP @t516 (tptp.hAPP @t515 @t161)))) (= @t488 (tptp.hAPP (tptp.c_Fun_Ocomp @t516 @t515 @t504 @t3 @t514) @t161))))) % 0.49/1.01 (assume @p459 (forall (@list @t21 @t65 @t64 @t384 @t3) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t474 @t384 @t21 @t30) (tptp.hAPP (tptp.hAPP @t226 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t65 @t384 @t21 @t30)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t64 @t384 @t21 @t30))))) % 0.49/1.01 (assume @p460 (forall @t16 (= (tptp.c_The @t517 @t3) @t1))) % 0.49/1.01 (assume @p461 (forall @t510 (or (= (tptp.hAPP @t418 (tptp.hAPP @t497 @t65)) @t65) @t135 @t127))) % 0.49/1.01 (assume @p462 (forall @t168 (or @t167 @t166 @t518 @t123))) % 0.49/1.01 (assume @p463 (forall @t168 (or @t167 @t166 @t122 (not @t518)))) % 0.49/1.01 (assume @p464 (forall @t338 (or @t195 (tptp.hBOOL (tptp.hAPP @t75 @t407)) @t232))) % 0.49/1.01 (assume @p465 (forall @t505 (not (= tptp.c_Com_Ocom_OSKIP @t402)))) % 0.49/1.01 (assume @p466 (forall @t56 (or @t17 @t122 @t76))) % 0.49/1.01 (assume @p467 (forall (@list @t1 @t65 @t21 @t20 @t3) (or @t377 @t519))) % 0.49/1.01 (assume @p468 (forall (@list @t20 @t1 @t65 @t21 @t3) (or @t519 @t377))) % 0.49/1.01 (assume @p469 (forall @t520 (or (tptp.hBOOL (tptp.c_in @t77 @t100 @t21)) @t232))) % 0.49/1.01 (assume @p470 (forall (@list @t365 @t523 @t239 @t522 @t521) (or (not (tptp.hBOOL (tptp.hAPP @t365 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t523 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t524 @t239) @t522) @t521) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t365 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t523 @t239) @t522) @t521)))))) % 0.49/1.02 (assume @p471 (forall (@list @t365 @t523 @t526 @t395 @t525) (or (not (tptp.hBOOL (tptp.hAPP @t365 (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t523 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t524 @t526) @t395) @t525) tptp.t_b tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t365 @t527))))) % 0.49/1.02 (assume @p472 (forall @t529 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__rec @t523 @t528 @t21 @t3) @t527))) % 0.49/1.02 (assume @p473 (forall @t529 (= (tptp.c_Hoare__Mirabelle_Otriple_Otriple__case @t523 @t528 @t21 @t3) @t527))) % 0.49/1.02 (assume @p474 (forall (@list @t272 @t531 @t3 @t530) (or @t536 (not (tptp.hBOOL (tptp.hAPP @t535 @t530))) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 @t530 @t3))))) % 0.49/1.02 (assume @p475 (forall @t539 (or @t536 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t534 @t537) @t272))) @t538))) % 0.49/1.02 (assume @p476 (forall (@list @t272 @t531 @t3) (or @t536 (not (tptp.hBOOL (tptp.hAPP @t535 @t272)))))) % 0.49/1.02 (assume @p477 (forall @t548 (or @t547 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t545 (tptp.c_COMBK (tptp.hAPP (tptp.c_COMBC (tptp.c_fequal tptp.tc_Com_Ostate) tptp.tc_Com_Ostate tptp.tc_Com_Ostate tptp.tc_bool) @t544) @t542 tptp.t_a)) @t33) (tptp.c_COMBK (tptp.hAPP @t366 @t543) @t542 tptp.t_a)) @t541 @t540) tptp.t_a))))) % 0.49/1.02 (assume @p478 (= (tptp.hAPP (tptp.c_COMBI tptp.t_a) tptp.v_P) tptp.v_P)) % 0.49/1.02 (assume @p479 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.v_P tptp.t_a tptp.t_b tptp.t_c) tptp.v_Q) tptp.v_R) (tptp.hAPP @t549 tptp.v_Q))) % 0.49/1.02 (assume @p480 (forall (@list @t19 @t310 @t21 @t3 @t20 @t550 @t110 @t257) (or (not (= (tptp.hAPP @t19 (tptp.hAPP @t310 @t552)) @t552)) (= (tptp.c_List_Ofoldl @t20 (tptp.hAPP @t19 @t550) @t110 @t3 @t257) (tptp.hAPP @t19 (tptp.c_List_Ofoldl (tptp.hAPP (tptp.c_COMBB (tptp.c_COMBB @t310 @t3 @t21 @t257) @t551 (tptp.tc_fun @t257 @t21) @t21) (tptp.hAPP (tptp.c_COMBB @t20 @t3 @t551 @t21) @t19)) @t550 @t110 @t21 @t257)))))) % 0.49/1.02 (assume @p481 (forall (@list @t33 @t21 @t3 @t65 @t1) (or (= (tptp.c_Set_Oimage (tptp.c_COMBK @t33 @t21 @t3) @t65 @t3 @t21) (tptp.c_Set_Oinsert @t33 @t372 @t21)) @t232))) % 0.49/1.02 (assume @p482 (forall (@list @t272 @t3 @t365 @t39 @t33) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 (tptp.c_Com_Ocom_OWhile @t39 @t33)) @t556) @t553 @t532) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t555 @t365) @t553 @t532) @t3))))) % 0.49/1.02 (assume @p483 (forall @t562 (or @t561 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs (tptp.c_Set_Oinsert @t560 @t272 @t532) @t559 @t3))))) % 0.49/1.02 (assume @p484 (forall @t562 (or @t561 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 @t559 @t3))))) % 0.49/1.02 (assume @p485 (forall (@list @t272 @t3 @t365 @t39 @t33 @t38 @t366) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 (tptp.c_Com_Ocom_OCond @t39 @t33 @t38)) @t366) @t553 @t532) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t554 @t556) @t38) @t366) @t553 @t532) @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP @t555 @t366) @t553 @t532) @t3))))) % 0.49/1.02 (assume @p486 (forall @t499 (or (not (tptp.class_Orderings_Obot @t21)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t376) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t21))))) % 0.49/1.02 (assume @p487 (forall @t114 (or @t195 (= (tptp.hAPP @t406 @t145) @t315)))) % 0.49/1.02 (assume @p488 (forall (@list @t20 @t257 @t3 @t21 @t19) (= (tptp.c_Set_Oimage (tptp.hAPP (tptp.c_COMBB @t20 @t257 @t3 @t21) @t19) @t328 @t21 @t3) (tptp.c_Set_Oimage @t20 (tptp.c_Set_Oimage @t19 @t328 @t21 @t257) @t257 @t3)))) % 0.49/1.02 (assume @p489 (forall @t464 (= (tptp.c_Collect (tptp.hAPP @t435 @t32) @t3) @t234))) % 0.49/1.02 (assume @p490 (forall (@list @t65 @t1 @t3) (or (= @t65 @t380) @t238 (not (tptp.hBOOL (tptp.hAPP @t70 @t380)))))) % 0.49/1.02 (assume @p491 (forall @t459 (tptp.hBOOL (tptp.c_in @t1 @t380 @t3)))) % 0.49/1.02 (assume @p492 (forall (@list @t268 @t32 @t3 @t267 @t266 @t265 @t264 @t263 @t262 @t261) (or (= (tptp.hAPP @t268 @t234) @t32) @t269))) % 0.49/1.02 (assume @p493 (forall (@list @t267 @t32 @t3 @t268 @t266 @t265 @t264 @t263 @t262 @t261) (or (= (tptp.hAPP @t267 @t234) @t32) @t269))) % 0.49/1.02 (assume @p494 (forall @t464 (or @t195 (= (tptp.hAPP @t406 @t234) @t32)))) % 0.49/1.02 (assume @p495 (forall @t459 (tptp.hBOOL (tptp.hAPP @t380 @t563)))) % 0.49/1.02 (assume @p496 (forall (@list @t32 @t21 @t64 @t3) (= (tptp.c_Set_Oinsert @t32 @t373 @t3) @t234))) % 0.49/1.02 (assume @p497 (forall (@list @t20 @t1 @t3) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t20 @t380 @t3) @t1)))) % 0.49/1.02 (assume @p498 (forall @t464 (or @t17 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t234 @t3) @t32)))) % 0.49/1.02 (assume @p499 (forall @t459 (= (tptp.c_The @t380 @t3) @t1))) % 0.49/1.02 (assume @p500 (forall (@list @t268 @t32 @t39 @t3 @t264 @t267 @t266 @t265 @t263 @t262 @t261) (or (= (tptp.hAPP @t268 @t336) (tptp.hAPP @t470 @t39)) @t269))) % 0.49/1.02 (assume @p501 (forall (@list @t267 @t32 @t39 @t3 @t263 @t268 @t266 @t265 @t264 @t262 @t261) (or (= (tptp.hAPP @t267 @t336) (tptp.hAPP @t471 @t39)) @t269))) % 0.49/1.02 (assume @p502 (forall @t256 (= @t252 (tptp.hAPP (tptp.hAPP @t189 @t235) @t64)))) % 0.49/1.02 (assume @p503 (forall @t256 (= @t252 (tptp.hAPP @t359 @t234)))) % 0.49/1.02 (assume @p504 (forall (@list @t32 @t39 @t20 @t3) (or @t172 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t20 @t234 @t3) @t39)))))) % 0.49/1.02 (assume @p505 (forall @t459 (= (tptp.c_Set_Ocontents @t380 @t3) @t1))) % 0.49/1.02 (assume @p506 (forall (@list @t2 @t1 @t3) (or (= @t2 @t563) (not (tptp.hBOOL (tptp.hAPP @t380 @t2)))))) % 0.49/1.02 (assume @p507 (forall (@list @t39 @t32 @t3) (or (= @t39 @t32) (not (tptp.hBOOL (tptp.c_in @t39 @t234 @t3)))))) % 0.49/1.02 (assume @p508 (forall (@list @t20 @t32 @t3) (= (tptp.c_Finite__Set_Ofold1 @t20 @t234 @t3) @t32))) % 0.49/1.02 (assume @p509 (forall @t464 (or @t17 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t234 @t3) @t32)))) % 0.49/1.02 (assume @p510 (forall @t466 (= @t465 @t259))) % 0.49/1.02 (assume @p511 (forall @t464 (or @t18 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t32 @t32 @t3) @t234)))) % 0.49/1.02 (assume @p512 (forall (@list @t1 @t239 @t3) (or (not (= (tptp.c_Set_Oinsert @t1 @t239 @t3) @t145)) (tptp.hBOOL (tptp.c_in @t1 @t239 @t3))))) % 0.49/1.02 (assume @p513 (forall @t318 (= @t259 (tptp.hAPP (tptp.hAPP @t226 @t234) @t65)))) % 0.49/1.02 (assume @p514 (forall @t464 (or @t195 (= (tptp.hAPP @t194 @t234) @t32)))) % 0.49/1.02 (assume @p515 (forall (@list @t33 @t3 @t21) (= (tptp.c_Set_Oimage @t564 @t372 @t21 @t3) @t145))) % 0.49/1.02 (assume @p516 (forall @t520 (or (= (tptp.c_Set_Oinsert @t77 @t100 @t21) @t100) @t232))) % 0.49/1.02 (assume @p517 (forall @t571 (or @t547 (tptp.hBOOL (tptp.hAPP @t570 @t569)) (not (tptp.hBOOL (tptp.hAPP @t568 @t566))) @t565))) % 0.49/1.02 (assume @p518 (forall (@list @t272 @t365 @t33 @t366 @t572 @t567 @t573) (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t572 @t567) @t577)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t573 @t567) @t576))) @t575))) % 0.49/1.02 (assume @p519 (forall @t571 (or @t547 (tptp.hBOOL (tptp.hAPP @t570 @t579)) (not (tptp.hBOOL (tptp.hAPP @t568 @t578))) @t565))) % 0.49/1.02 (assume @p520 (forall @t548 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t580) @t578))))) % 0.49/1.02 (assume @p521 (forall @t581 (or @t547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t580) @t579))) @t565))) % 0.49/1.02 (assume @p522 (forall @t548 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t582) @t566))))) % 0.49/1.02 (assume @p523 (forall @t586 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t572 @t585) @t584)) @t583))) % 0.49/1.02 (assume @p524 (forall @t588 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t587) @t576)) @t575))) % 0.49/1.02 (assume @p525 (forall @t592 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t591) @t590)) @t589))) % 0.49/1.02 (assume @p526 (forall @t581 (or @t547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t582) @t569))) @t565))) % 0.49/1.02 (assume @p527 (forall @t592 (or @t547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t573 @t591) @t590))) @t589))) % 0.49/1.02 (assume @p528 (forall @t588 (or @t547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t587) @t577))) @t575))) % 0.49/1.02 (assume @p529 (forall @t586 (or @t547 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t366 @t585) @t584))) @t583))) % 0.49/1.02 (assume @p530 (forall @t548 (or @t547 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t365 @t543) @t544))))) % 0.49/1.02 (assume @p531 (= (tptp.hAPP (tptp.c_COMBK tptp.v_P tptp.t_a tptp.t_b) tptp.v_Q) tptp.v_P)) % 0.49/1.02 (assume @p532 (forall (@list @t33 @t3 @t21 @t65) (or (= (tptp.c_Set_Oimage @t564 @t65 @t21 @t3) (tptp.c_Set_Oinsert @t33 @t145 @t3)) @t431))) % 0.49/1.02 (assume @p533 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.v_P tptp.t_a tptp.t_b tptp.t_c) tptp.v_Q) tptp.v_R) (tptp.hAPP tptp.v_P @t593))) % 0.49/1.02 (assume @p534 (= (tptp.hAPP (tptp.c_COMBS tptp.v_P tptp.v_Q tptp.t_a tptp.t_b tptp.t_c) tptp.v_R) (tptp.hAPP @t549 @t593))) % 0.49/1.02 (assume @p535 (forall (@list @t272 @t3 @t365) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 tptp.c_Com_Ocom_OSKIP) @t365) @t553 @t532) @t3))) % 0.49/1.02 (assume @p536 (forall (@list @t272 @t3 @t365 @t33 @t38 @t367 @t366) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 (tptp.c_Com_Ocom_OSemi @t33 @t38)) @t367) @t553 @t532) @t3) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t554 @t366) @t38) @t367) @t553 @t532) @t3)) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP @t557 @t33) @t366) @t553 @t532) @t3))))) % 0.49/1.02 (assume @p537 (forall (@list @t272 @t511 @t531 @t3) (or @t595 (not @t536) (not @t594)))) % 0.49/1.02 (assume @p538 (forall (@list @t272 @t531 @t3 @t511) (or @t536 @t596))) % 0.49/1.02 (assume @p539 (forall (@list @t20 @t65 @t21 @t3) (or (not (= @t169 @t145)) @t431))) % 0.49/1.02 (assume @p540 (forall (@list @t20 @t19 @t65 @t257 @t21 @t3) (= (tptp.c_Set_Oimage @t20 (tptp.c_Set_Oimage @t19 @t65 @t257 @t21) @t21 @t3) (tptp.c_Set_Oimage (tptp.hAPP (tptp.c_COMBB @t20 @t21 @t3 @t257) @t19) @t65 @t257 @t3)))) % 0.49/1.02 (assume @p541 (forall @t472 (tptp.hBOOL (tptp.hAPP @t201 @t1)))) % 0.49/1.02 (assume @p542 (forall (@list @t20 @t32 @t64 @t21 @t3) (= (tptp.c_Set_Oimage @t20 (tptp.c_Set_Oinsert @t32 @t64 @t21) @t21 @t3) (tptp.c_Set_Oinsert @t321 @t357 @t3)))) % 0.49/1.02 (assume @p543 (forall @t539 (or @t536 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 @t537 @t3)) @t538))) % 0.49/1.02 (assume @p544 (forall @t260 (not (= @t145 @t259)))) % 0.49/1.02 (assume @p545 (forall @t600 (or @t599 (= @t525 @t597)))) % 0.49/1.02 (assume @p546 (forall @t600 (or @t599 @t446))) % 0.49/1.02 (assume @p547 (forall @t600 (or @t599 (= @t526 @t598)))) % 0.49/1.02 (assume @p548 (forall @t604 (or @t603 @t602 @t601))) % 0.49/1.02 (assume @p549 (forall @t604 (or @t603 @t605 @t601))) % 0.49/1.02 (assume @p550 (forall @t604 (or @t603 @t602 @t287))) % 0.49/1.02 (assume @p551 (forall @t604 (or @t603 @t605 @t287))) % 0.49/1.02 (assume @p552 (forall @t16 (not (tptp.hBOOL (tptp.hAPP @t145 @t1))))) % 0.49/1.02 (assume @p553 (forall (@list @t272 @t3) (tptp.c_Hoare__Mirabelle_Ohoare__derivs @t272 @t553 @t3))) % 0.49/1.02 (assume @p554 (forall (@list @t65 @t1 @t2 @t3) (or @t493 (= @t2 @t1) (not @t607)))) % 0.49/1.02 (assume @p555 (forall @t472 (= (tptp.c_Set_Oinsert @t1 @t201 @t3) @t201))) % 0.49/1.02 (assume @p556 (forall @t318 (not (= @t259 @t145)))) % 0.49/1.02 (assume @p557 (forall (@list @t3 @t20 @t65 @t21) (or (not (= @t145 @t169)) @t431))) % 0.49/1.02 (assume @p558 (forall (@list @t1 @t2 @t65 @t3) (= (tptp.c_Set_Oinsert @t1 @t606 @t3) (tptp.c_Set_Oinsert @t2 @t201 @t3)))) % 0.49/1.02 (assume @p559 (forall (@list @t365 @t21 @t3 @t257 @t366 @t367) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t365 @t21 @t3 @t257) @t366) @t367) (tptp.hAPP @t365 @t608)))) % 0.49/1.02 (assume @p560 (forall (@list @t365 @t366 @t21 @t257 @t3 @t367) (= (tptp.hAPP (tptp.c_COMBS @t365 @t366 @t21 @t257 @t3) @t367) (tptp.hAPP @t368 @t608)))) % 0.49/1.02 (assume @p561 (forall (@list @t239 @t1 @t3) (= (tptp.c_Set_Oinsert @t239 @t380 @t3) (tptp.c_Set_Oinsert @t1 (tptp.c_Set_Oinsert @t239 @t145 @t3) @t3)))) % 0.49/1.02 (assume @p562 @t611) % 0.49/1.02 (assume @p563 (forall (@list @t32 @t3 @t39) (or (not (= @t234 @t335)) @t172))) % 0.49/1.02 (assume @p564 (forall (@list @t272 @t511 @t3 @t531) (or @t594 @t596))) % 0.49/1.02 (assume @p565 (forall (@list @t2 @t65 @t3 @t1) (or @t607 @t495))) % 0.49/1.02 (assume @p566 (forall (@list @t3 @t20 @t21) @t612)) % 0.49/1.02 (assume @p567 @t619) % 0.49/1.02 (assume @p568 (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oimage @t620 @t502 tptp.t_a @t613) tptp.t_b))) % 0.49/1.02 (assume @p569 (forall (@list @t622) (or (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t524 (tptp.hAPP tptp.v_P @t622)) @t623) (tptp.hAPP tptp.v_Q @t622)) @t621 @t613) tptp.t_b) (not (tptp.c_Hoare__Mirabelle_Ohoare__derivs tptp.v_G (tptp.c_Set_Oinsert (tptp.hAPP (tptp.hAPP (tptp.hAPP @t524 (tptp.hAPP tptp.v_P_H @t622)) @t623) (tptp.hAPP tptp.v_Q_H @t622)) @t621 @t613) tptp.t_b))))) % 0.49/1.02 (assume @p570 (forall @t627 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t626) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t624))))) % 0.49/1.02 (assume @p571 (forall @t627 (or (tptp.class_Lattices_Oupper__semilattice @t626) @t628))) % 0.49/1.02 (assume @p572 (forall @t627 (or (tptp.class_Lattices_Olower__semilattice @t626) @t628))) % 0.49/1.02 (assume @p573 (forall @t627 (or (tptp.class_Lattices_Odistrib__lattice @t626) (not (tptp.class_Lattices_Odistrib__lattice @t624))))) % 0.49/1.02 (assume @p574 (forall @t627 (or (tptp.class_Lattices_Obounded__lattice @t626) (not (tptp.class_Lattices_Obounded__lattice @t624))))) % 0.49/1.02 (assume @p575 (forall @t627 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t626) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t624)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t625))))) % 0.49/1.02 (assume @p576 (forall @t627 (or (tptp.class_Orderings_Opreorder @t626) (not (tptp.class_Orderings_Opreorder @t624))))) % 0.49/1.02 (assume @p577 (forall @t627 (or (tptp.class_Lattices_Olattice @t626) @t628))) % 0.49/1.02 (assume @p578 (forall @t627 (or (tptp.class_Orderings_Oorder @t626) (not (tptp.class_Orderings_Oorder @t624))))) % 0.49/1.02 (assume @p579 (forall @t627 (or (tptp.class_Orderings_Otop @t626) (not (tptp.class_Orderings_Otop @t624))))) % 0.49/1.02 (assume @p580 (forall @t627 (or (tptp.class_Orderings_Obot @t626) (not (tptp.class_Orderings_Obot @t624))))) % 0.49/1.02 (assume @p581 (forall @t627 (or (tptp.class_HOL_Ominus @t626) (not (tptp.class_HOL_Ominus @t624))))) % 0.49/1.02 (assume @p582 (forall @t627 (or (tptp.class_HOL_Oord @t626) (not (tptp.class_HOL_Oord @t624))))) % 0.49/1.02 (assume @p583 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.49/1.02 (assume @p584 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.49/1.02 (assume @p585 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.49/1.02 (assume @p586 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.49/1.02 (assume @p587 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.49/1.02 (assume @p588 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.49/1.02 (assume @p589 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.49/1.02 (assume @p590 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.49/1.02 (assume @p591 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.49/1.02 (assume @p592 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.49/1.02 (assume @p593 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.49/1.02 (assume @p594 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.49/1.02 (assume @p595 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.49/1.02 (assume @p596 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.49/1.02 (assume @p597 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.49/1.02 (assume @p598 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.49/1.02 (assume @p599 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.49/1.02 (assume @p600 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.49/1.02 (assume @p601 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.49/1.02 (assume @p602 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.49/1.02 (assume @p603 (tptp.class_Orderings_Otop tptp.tc_bool)) % 0.49/1.02 (assume @p604 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.49/1.02 (assume @p605 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.49/1.02 (assume @p606 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.49/1.02 (assume @p607 (forall @t16 (tptp.hBOOL (tptp.hAPP @t517 @t1)))) % 0.49/1.02 (assume @p608 (forall (@list @t629 @t476 @t3) (or (= @t629 @t476) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t435 @t629) @t476)))))) % 0.49/1.02 (step @p609 :rule evaluate :args ((= true false))) % 0.49/1.02 (step @p610 :rule false_intro :premises (@p568)) % 0.49/1.02 (step @p611 :rule refl :args (tptp.t_b)) % 0.49/1.02 (step @p612 :rule eq-symm :args (@t609 @t145)) % 0.49/1.02 (step @p613 :rule cong :premises (@p612) :args (@t611)) % 0.49/1.02 (step @p614 :rule eq_resolve :premises (@p562 @p613)) % 0.49/1.02 (step @p615 :rule instantiate :premises (@p614) :args ((@list @t620 tptp.t_a @t613))) % 0.49/1.02 (step @p616 :rule eq-symm :args (@t621 @t618)) % 0.49/1.02 (step @p617 :rule refl :args (@t630)) % 0.49/1.02 (step @p618 :rule cong :premises (@p617 @p616) :args ((=> @t630 @t631))) % 0.49/1.02 (assume-push @p633 @t630) % 0.49/1.02 (step @p620 :rule instantiate :premises (@p614) :args ((@list @t617 tptp.t_a @t613))) % 0.49/1.02 (step-pop @p634 :rule scope :premises (@p620)) % 0.49/1.02 (step @p621 :rule process_scope :premises (@p634) :args (@t631)) % 0.49/1.02 (step @p623 :rule eq_resolve :premises (@p621 @p618)) % 0.49/1.02 (step @p624 :rule implies_elim :premises (@p623)) % 0.49/1.02 (step @p625 :rule chain_m_resolution :premises (@p624 @p614) :args ((= @t618 @t621) (@list false) (@list @t630))) % 0.49/1.02 (step @p626 :rule trans :premises (@p625 @p615)) % 0.49/1.02 (step @p627 :rule refl :args (tptp.v_G)) % 0.49/1.02 (step @p628 :rule cong :premises (@p627 @p626 @p611) :args (@t619)) % 0.49/1.02 (step @p629 :rule true_intro :premises (@p567)) % 0.49/1.02 (step @p630 :rule symm :premises (@p629)) % 0.49/1.02 (step @p631 :rule trans :premises (@p630 @p628 @p610)) % 0.49/1.02 (step @p632 false :rule eq_resolve :premises (@p631 @p609)) % 0.49/1.02 ) % 0.49/1.02 % SZS output end Proof % 0.49/1.02 % cvc5 exiting %------------------------------------------------------------------------------