%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL764-1 : TPTP v9.3.1. 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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:47 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.73s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL764-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.37 % Computer : n015.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Fri Sep 4 18:11:41 UTC 2026 % 0.09/0.38 % CPUTime : % 0.22/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.73 % SZS status Unsatisfiable % 0.31/0.73 % SZS output start Proof % 0.31/0.76 ( % 0.31/0.76 (declare-sort $$unsorted 0) % 0.31/0.76 (declare-const tptp.tc_nat $$unsorted) % 0.31/0.76 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xcases__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Omember (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Ofiltermap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olinorder__class_Osort__key (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Osko__List__Xrev__induct__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Osko__List__Xrev__induct__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xtl__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist__inter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xtl__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xtake__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xtake__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xcases__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xremdups__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist_Olist__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xremove1__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xset__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__XremoveAll__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.tc_bool $$unsorted) % 0.31/0.76 (declare-const tptp.v_sko__List__Xzip__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xhd__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__XtakeWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xrev__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlast__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xconcat__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.31/0.76 (declare-const tptp.v_sko__List__Xfoldl__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlast__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xsplice__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.31/0.76 (declare-const tptp.v_sko__List__Xset__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xmap__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xconcat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__XremoveAll__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xsplice__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.t_b $$unsorted) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistset__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.t_a $$unsorted) % 0.31/0.76 (declare-const tptp.v_sko__List__Xzip__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Onull (-> $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xmap__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xhd__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__update__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__XtakeWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Oconcat__map (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xdrop__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__Xinducts__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xdrop__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__Xinducts__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xrev__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlist__update__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistset__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xfoldl__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xremdups__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xremove1__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.31/0.76 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsum__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.31/0.76 (declare-const tptp.v_sko__List__Xlistsum__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.31/0.76 (define @t1 () (@var "T_a" $$unsorted)) % 0.31/0.76 (define @t2 () (@var "V_xs" $$unsorted)) % 0.31/0.76 (define @t3 () (tptp.c_List_Otl @t2 @t1)) % 0.31/0.76 (define @t4 () (@var "V_n" $$unsorted)) % 0.31/0.76 (define @t5 () (tptp.c_List_Odrop @t4 @t3 @t1)) % 0.31/0.76 (define @t6 () (tptp.c_Suc @t4)) % 0.31/0.76 (define @t7 () (@list @t4 @t2 @t1)) % 0.31/0.76 (define @t8 () (tptp.c_List_Otake @t6 @t2 @t1)) % 0.31/0.76 (define @t9 () (tptp.c_List_Otake @t4 @t3 @t1)) % 0.31/0.76 (define @t10 () (@var "V_y" $$unsorted)) % 0.31/0.76 (define @t11 () (@var "V_i" $$unsorted)) % 0.31/0.76 (define @t12 () (tptp.c_List_Olist__update @t2 @t11 @t10 @t1)) % 0.31/0.76 (define @t13 () (@var "V_x" $$unsorted)) % 0.31/0.76 (define @t14 () (tptp.c_List_Olist_OCons @t13 @t2 @t1)) % 0.31/0.76 (define @t15 () (tptp.c_List_Odrop @t4 @t2 @t1)) % 0.31/0.76 (define @t16 () (@list @t4 @t13 @t2 @t1)) % 0.31/0.76 (define @t17 () (tptp.c_List_Otake @t4 @t2 @t1)) % 0.31/0.76 (define @t18 () (@list @t4)) % 0.31/0.76 (define @t19 () (@var "V_nat_H" $$unsorted)) % 0.31/0.76 (define @t20 () (@var "V_nat" $$unsorted)) % 0.31/0.76 (define @t21 () (= @t13 @t10)) % 0.31/0.76 (define @t22 () (tptp.c_List_Orotate @t4 @t2 @t1)) % 0.31/0.76 (define @t23 () (tptp.c_List_Orotate1 @t22 @t1)) % 0.31/0.76 (define @t24 () (tptp.c_List_Olist_ONil tptp.t_a)) % 0.31/0.76 (define @t25 () (@var "V_P" $$unsorted)) % 0.31/0.76 (define @t26 () (not (tptp.hBOOL (tptp.hAPP @t25 @t24)))) % 0.31/0.76 (define @t27 () (tptp.v_sko__List__Xdrop__Xinduct__2 @t25)) % 0.31/0.76 (define @t28 () (@var "V_list" $$unsorted)) % 0.31/0.76 (define @t29 () (tptp.hBOOL (tptp.hAPP @t25 @t28))) % 0.31/0.76 (define @t30 () (@list @t25 @t28)) % 0.31/0.76 (define @t31 () (tptp.v_sko__List__Xrev__Xinduct__2 @t25)) % 0.31/0.76 (define @t32 () (tptp.v_sko__List__Xfoldl__Xinduct__2 @t25)) % 0.31/0.76 (define @t33 () (tptp.v_sko__List__Xconcat__Xinduct__2 @t25)) % 0.31/0.76 (define @t34 () (@list @t13 @t2 @t1)) % 0.31/0.76 (define @t35 () (tptp.c_List_Olist_ONil @t1)) % 0.31/0.76 (define @t36 () (= @t2 @t35)) % 0.31/0.76 (define @t37 () (tptp.c_List_Ohd @t2 @t1)) % 0.31/0.76 (define @t38 () (@var "V_ys" $$unsorted)) % 0.31/0.76 (define @t39 () (tptp.c_List_Oappend @t2 @t38 @t1)) % 0.31/0.76 (define @t40 () (@list @t2 @t38 @t1)) % 0.31/0.76 (define @t41 () (tptp.c_List_Ohd @t38 @t1)) % 0.31/0.76 (define @t42 () (tptp.c_List_Oappend @t35 @t38 @t1)) % 0.31/0.76 (define @t43 () (@list @t1 @t38)) % 0.31/0.76 (define @t44 () (tptp.c_List_OdropWhile @t25 @t2 @t1)) % 0.31/0.76 (define @t45 () (@list @t25 @t2 @t1)) % 0.31/0.76 (define @t46 () (tptp.v_sko__List__Xhd__Xinduct__2 @t25)) % 0.31/0.76 (define @t47 () (tptp.v_sko__List__Xtake__Xinduct__2 @t25)) % 0.31/0.76 (define @t48 () (tptp.v_sko__List__Xset__Xinduct__2 @t25)) % 0.31/0.76 (define @t49 () (tptp.v_sko__List__Xmap__Xinduct__2 @t25)) % 0.31/0.76 (define @t50 () (tptp.v_sko__List__Xlist__Xinducts__2 @t25)) % 0.31/0.76 (define @t51 () (tptp.v_sko__List__Xlist__Xinduct__2 @t25)) % 0.31/0.76 (define @t52 () (tptp.v_sko__List__Xlist__update__Xinduct__2 @t25)) % 0.31/0.76 (define @t53 () (tptp.v_sko__List__Xremdups__Xinduct__2 @t25)) % 0.31/0.76 (define @t54 () (tptp.v_sko__List__XremoveAll__Xinduct__2 @t25)) % 0.31/0.76 (define @t55 () (tptp.v_sko__List__XtakeWhile__Xinduct__2 @t25)) % 0.31/0.76 (define @t56 () (tptp.v_sko__List__XdropWhile__Xinduct__2 @t25)) % 0.31/0.76 (define @t57 () (tptp.v_sko__List__Xzip__Xinduct__2 @t25)) % 0.31/0.76 (define @t58 () (tptp.v_sko__List__Xlistset__Xinduct__2 @t25)) % 0.31/0.76 (define @t59 () (tptp.v_sko__List__Xremove1__Xinduct__2 @t25)) % 0.31/0.76 (define @t60 () (tptp.v_sko__List__Xsplice__Xinduct__2 @t25)) % 0.31/0.76 (define @t61 () (tptp.v_sko__List__Xdistinct__Xinduct__2 @t25)) % 0.31/0.76 (define @t62 () (tptp.v_sko__List__Xlistsum__Xinduct__2 @t25)) % 0.31/0.76 (define @t63 () (tptp.v_sko__List__Xlast__Xinduct__2 @t25)) % 0.31/0.76 (define @t64 () (tptp.v_sko__List__Xtl__Xinduct__2 @t25)) % 0.31/0.76 (define @t65 () (= @t38 @t35)) % 0.31/0.76 (define @t66 () (@list @t13 @t2 @t1 @t38)) % 0.31/0.76 (define @t67 () (not (tptp.hBOOL (tptp.hAPP @t25 @t35)))) % 0.31/0.76 (define @t68 () (tptp.c_List_Osko__List__Xrev__induct__1__2 @t25 @t1)) % 0.31/0.76 (define @t69 () (tptp.hBOOL (tptp.hAPP @t25 @t2))) % 0.31/0.76 (define @t70 () (tptp.c_List_Orotate1 @t2 @t1)) % 0.31/0.76 (define @t71 () (@list @t2 @t1)) % 0.31/0.76 (define @t72 () (@var "T_b" $$unsorted)) % 0.31/0.76 (define @t73 () (@var "V_f" $$unsorted)) % 0.31/0.76 (define @t74 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.31/0.76 (define @t75 () (@list @t1 @t73 @t2 @t72)) % 0.31/0.76 (define @t76 () (tptp.c_List_Otl @t15 @t1)) % 0.31/0.76 (define @t77 () (@var "V_us" $$unsorted)) % 0.31/0.76 (define @t78 () (@var "V_vs" $$unsorted)) % 0.31/0.76 (define @t79 () (@var "V_r" $$unsorted)) % 0.31/0.76 (define @t80 () (tptp.c_List_Oappend @t2 @t13 @t1)) % 0.31/0.76 (define @t81 () (tptp.c_ListOrder_Ostep1 @t79 @t38 @t2 @t1)) % 0.31/0.76 (define @t82 () (not @t81)) % 0.31/0.76 (define @t83 () (tptp.c_List_Olist_OCons @t13 @t35 @t1)) % 0.31/0.76 (define @t84 () (= @t2 @t83)) % 0.31/0.76 (define @t85 () (tptp.c_List_Orev @t2 @t1)) % 0.31/0.76 (define @t86 () (tptp.hAPP @t25 @t13)) % 0.31/0.76 (define @t87 () (tptp.hBOOL @t86)) % 0.31/0.76 (define @t88 () (not @t87)) % 0.31/0.76 (define @t89 () (tptp.c_List_Ofilter @t25 @t2 @t1)) % 0.31/0.76 (define @t90 () (tptp.c_List_Ofilter @t25 @t14 @t1)) % 0.31/0.76 (define @t91 () (@list @t25 @t13 @t2 @t1)) % 0.31/0.76 (define @t92 () (tptp.c_List_Olinorder__class_Osorted @t2 @t1)) % 0.31/0.76 (define @t93 () (not @t92)) % 0.31/0.76 (define @t94 () (@list @t1 @t4 @t2)) % 0.31/0.76 (define @t95 () (tptp.c_List_Omap @t73 @t2 @t72 @t1)) % 0.31/0.76 (define @t96 () (@list @t4 @t73 @t2 @t72 @t1)) % 0.31/0.76 (define @t97 () (tptp.c_List_Oremdups @t2 @t1)) % 0.31/0.76 (define @t98 () (tptp.c_List_Olist__all2 @t25 @t2 @t38 @t1 @t72)) % 0.31/0.76 (define @t99 () (not @t98)) % 0.31/0.76 (define @t100 () (tptp.c_List_Ofilter @t25 @t38 @t1)) % 0.31/0.76 (define @t101 () (tptp.c_fequal @t1)) % 0.31/0.76 (define @t102 () (= @t2 @t38)) % 0.31/0.76 (define @t103 () (@var "V_a" $$unsorted)) % 0.31/0.76 (define @t104 () (tptp.c_List_Olist_OCons @t13 @t2 @t72)) % 0.31/0.76 (define @t105 () (tptp.c_List_Oappend @t2 @t83 @t1)) % 0.31/0.76 (define @t106 () (tptp.c_List_Olist_OCons @t10 @t35 @t1)) % 0.31/0.76 (define @t107 () (tptp.c_List_Oappend @t38 @t106 @t1)) % 0.31/0.76 (define @t108 () (not (tptp.c_ListOrder_Ostep1 @t79 @t107 @t105 @t1))) % 0.31/0.76 (define @t109 () (tptp.hAPP @t79 @t10)) % 0.31/0.76 (define @t110 () (tptp.hBOOL (tptp.hAPP @t109 @t13))) % 0.31/0.76 (define @t111 () (tptp.c_List_Orev @t83 @t1)) % 0.31/0.76 (define @t112 () (@list @t13 @t1)) % 0.31/0.76 (define @t113 () (tptp.c_List_Orev @t38 @t1)) % 0.31/0.76 (define @t114 () (tptp.c_List_Oappend @t113 @t106 @t1)) % 0.31/0.76 (define @t115 () (tptp.c_List_Olist_OCons @t10 @t38 @t1)) % 0.31/0.76 (define @t116 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.31/0.76 (define @t117 () (@var "V_A" $$unsorted)) % 0.31/0.76 (define @t118 () (@var "V_B" $$unsorted)) % 0.31/0.76 (define @t119 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t118 @t116)) % 0.31/0.76 (define @t120 () (@list @t117 @t118 @t1)) % 0.31/0.76 (define @t121 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t10 @t1)) % 0.31/0.76 (define @t122 () (= @t121 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t13 @t1))) % 0.31/0.76 (define @t123 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.31/0.76 (define @t124 () (@list @t1 @t13 @t10)) % 0.31/0.76 (define @t125 () (not (tptp.class_Lattices_Olattice @t1))) % 0.31/0.76 (define @t126 () (@var "V_zs" $$unsorted)) % 0.31/0.76 (define @t127 () (tptp.c_List_Olist_OCons @t10 @t126 @t1)) % 0.31/0.76 (define @t128 () (@var "V_b" $$unsorted)) % 0.31/0.76 (define @t129 () (@var "V_d" $$unsorted)) % 0.31/0.76 (define @t130 () (@var "V_c" $$unsorted)) % 0.31/0.76 (define @t131 () (@var "V_xa" $$unsorted)) % 0.31/0.76 (define @t132 () (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Oappend @t131 @t126 @t1) @t1)) % 0.31/0.76 (define @t133 () (tptp.c_List_Olist_OCons @t13 @t131 @t1)) % 0.31/0.76 (define @t134 () (tptp.c_List_Oappend @t133 @t126 @t1)) % 0.31/0.76 (define @t135 () (tptp.c_List_Odistinct @t2 @t1)) % 0.31/0.76 (define @t136 () (not @t135)) % 0.31/0.76 (define @t137 () (tptp.c_List_Odistinct @t70 @t1)) % 0.31/0.76 (define @t138 () (tptp.hAPP @t73 @t13)) % 0.31/0.76 (define @t139 () (@var "V_xb" $$unsorted)) % 0.31/0.76 (define @t140 () (tptp.c_List_Olist_OCons @t131 @t139 @t72)) % 0.31/0.76 (define @t141 () (@list @t73 @t13 @t2 @t72 @t1)) % 0.31/0.76 (define @t142 () (@var "V_f2" $$unsorted)) % 0.31/0.76 (define @t143 () (tptp.hAPP (tptp.hAPP @t142 @t103) @t28)) % 0.31/0.76 (define @t144 () (tptp.c_List_Olist_OCons @t103 @t28 @t72)) % 0.31/0.76 (define @t145 () (@var "V_f1" $$unsorted)) % 0.31/0.76 (define @t146 () (@list @t145 @t142 @t103 @t28 @t72 @t1)) % 0.31/0.76 (define @t147 () (tptp.c_List_Olist_OCons @t10 @t38 @t72)) % 0.31/0.76 (define @t148 () (tptp.c_List_Olist__all2 @t25 @t14 @t147 @t1 @t72)) % 0.31/0.76 (define @t149 () (not @t148)) % 0.31/0.76 (define @t150 () (tptp.hBOOL (tptp.hAPP @t86 @t10))) % 0.31/0.76 (define @t151 () (@var "V_xs1" $$unsorted)) % 0.31/0.76 (define @t152 () (not (tptp.c_ListOrder_Ostep1 @t79 @t115 @t14 @t1))) % 0.31/0.76 (define @t153 () (@list @t11 @t2 @t1)) % 0.31/0.76 (define @t154 () (tptp.c_List_Odistinct @t85 @t1)) % 0.31/0.76 (define @t155 () (tptp.c_List_Olist__all @t25 @t14 @t1)) % 0.31/0.76 (define @t156 () (not @t155)) % 0.31/0.76 (define @t157 () (tptp.c_List_Olist__all @t25 @t2 @t1)) % 0.31/0.76 (define @t158 () (@list @t25 @t2 @t1 @t13)) % 0.31/0.76 (define @t159 () (= @t97 @t2)) % 0.31/0.76 (define @t160 () (not (tptp.c_List_Olistsp @t117 @t13 tptp.t_a))) % 0.31/0.76 (define @t161 () (tptp.v_sko__List__Xlistsp__Xinduct__2 @t117 @t25)) % 0.31/0.76 (define @t162 () (tptp.v_sko__List__Xlistsp__Xinduct__1 @t117 @t25)) % 0.31/0.76 (define @t163 () (@list @t25 @t13 @t117)) % 0.31/0.76 (define @t164 () (tptp.v_sko__List__Xlistsp__Xinducts__2 @t117 @t25)) % 0.31/0.76 (define @t165 () (tptp.v_sko__List__Xlistsp__Xinducts__1 @t117 @t25)) % 0.31/0.76 (define @t166 () (@var "V_t" $$unsorted)) % 0.31/0.76 (define @t167 () (tptp.c_List_Olist_ONil @t72)) % 0.31/0.76 (define @t168 () (tptp.c_List_Oappend @t35 @t14 @t1)) % 0.31/0.76 (define @t169 () (@var "V_k" $$unsorted)) % 0.31/0.76 (define @t170 () (= @t38 @t2)) % 0.31/0.76 (define @t171 () (tptp.hBOOL (tptp.hAPP @t119 @t13))) % 0.31/0.76 (define @t172 () (not @t171)) % 0.31/0.76 (define @t173 () (tptp.hBOOL (tptp.hAPP @t118 @t13))) % 0.31/0.76 (define @t174 () (tptp.hBOOL (tptp.hAPP @t117 @t13))) % 0.31/0.76 (define @t175 () (not @t157)) % 0.31/0.76 (define @t176 () (tptp.c_List_Olist__all @t25 @t38 @t1)) % 0.31/0.76 (define @t177 () (tptp.c_List_Olist__all @t25 @t39 @t1)) % 0.31/0.76 (define @t178 () (@list @t25 @t2 @t38 @t1)) % 0.31/0.76 (define @t179 () (@list @t1 @t13)) % 0.31/0.76 (define @t180 () (tptp.c_List_Oappend @t2 @t38 @t72)) % 0.31/0.76 (define @t181 () (@list @t2 @t1 @t13)) % 0.31/0.76 (define @t182 () (tptp.c_List_Orev @t38 @t72)) % 0.31/0.76 (define @t183 () (tptp.c_List_Olist__all2 @t25 @t2 @t182 @t1 @t72)) % 0.31/0.76 (define @t184 () (tptp.c_List_Olist__all2 @t25 @t85 @t38 @t1 @t72)) % 0.31/0.76 (define @t185 () (@list @t25 @t2 @t1 @t38 @t72)) % 0.31/0.76 (define @t186 () (tptp.c_List_Oappend @t35 @t35 @t1)) % 0.31/0.76 (define @t187 () (@list @t1)) % 0.31/0.76 (define @t188 () (= @t2 @t167)) % 0.31/0.76 (define @t189 () (@list @t73 @t2 @t72 @t1)) % 0.31/0.76 (define @t190 () (tptp.c_List_Orev @t35 @t1)) % 0.31/0.76 (define @t191 () (tptp.c_List_Oremdups @t35 @t1)) % 0.31/0.76 (define @t192 () (= @t13 @t35)) % 0.31/0.76 (define @t193 () (tptp.c_List_Oremdups @t13 @t1)) % 0.31/0.76 (define @t194 () (= @t38 @t126)) % 0.31/0.76 (define @t195 () (@list @t2 @t38 @t1 @t126)) % 0.31/0.76 (define @t196 () (tptp.c_List_Odistinct (tptp.c_List_Olinorder__class_Osort__key @t73 @t2 @t1 @t72) @t1)) % 0.31/0.76 (define @t197 () (not (tptp.class_Orderings_Olinorder @t72))) % 0.31/0.76 (define @t198 () (not (tptp.c_List_Odistinct @t39 @t1))) % 0.31/0.76 (define @t199 () (@list @t2 @t1 @t38)) % 0.31/0.76 (define @t200 () (tptp.c_List_Orev @t85 @t1)) % 0.31/0.76 (define @t201 () (@list @t38 @t1)) % 0.31/0.76 (define @t202 () (tptp.c_List_Olist__all2 @t25 @t85 @t182 @t1 @t72)) % 0.31/0.76 (define @t203 () (tptp.c_List_Olist__ex @t25 @t14 @t1)) % 0.31/0.76 (define @t204 () (= @t10 @t13)) % 0.31/0.76 (define @t205 () (not @t150)) % 0.31/0.76 (define @t206 () (tptp.c_List_Olist__ex @t25 @t2 @t1)) % 0.31/0.76 (define @t207 () (@var "V_z" $$unsorted)) % 0.31/0.76 (define @t208 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t207 @t1) @t1)) % 0.31/0.76 (define @t209 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t121 @t207 @t1) @t208)) % 0.31/0.76 (define @t210 () (@list @t1 @t13 @t10 @t207)) % 0.31/0.76 (define @t211 () (= @t208 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t207 @t1) @t1))) % 0.31/0.76 (define @t212 () (@var "V_C" $$unsorted)) % 0.31/0.76 (define @t213 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t212 @t116) @t116)) % 0.31/0.76 (define @t214 () (@var "V_dB_H" $$unsorted)) % 0.31/0.76 (define @t215 () (@var "V_dB" $$unsorted)) % 0.31/0.76 (define @t216 () (tptp.c_List_Oremove1 @t13 @t2 @t1)) % 0.31/0.76 (define @t217 () (@var "V_I" $$unsorted)) % 0.31/0.76 (define @t218 () (tptp.c_List_Omember @t13 @t38 @t1)) % 0.31/0.76 (define @t219 () (tptp.c_List_Omember @t13 @t115 @t1)) % 0.31/0.76 (define @t220 () (tptp.c_List_OdropWhile @t25 @t14 @t1)) % 0.31/0.76 (define @t221 () (@list @t79 @t38 @t2 @t1 @t10 @t13)) % 0.31/0.76 (define @t222 () (tptp.c_List_Olist_OCons @t13 @t38 @t1)) % 0.31/0.76 (define @t223 () (not (tptp.c_List_Olistsp @t117 @t103 tptp.t_a))) % 0.31/0.76 (define @t224 () (= @t103 @t24)) % 0.31/0.76 (define @t225 () (tptp.v_sko__List__Xlistsp__Xcases__2 @t117 @t103)) % 0.31/0.76 (define @t226 () (tptp.v_sko__List__Xlistsp__Xcases__1 @t117 @t103)) % 0.31/0.76 (define @t227 () (@var "V_bs" $$unsorted)) % 0.31/0.76 (define @t228 () (@var "V_as" $$unsorted)) % 0.31/0.76 (define @t229 () (tptp.c_List_Odistinct @t22 @t1)) % 0.31/0.76 (define @t230 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t121 @t1) @t121)) % 0.31/0.76 (define @t231 () (@list @t117 @t1)) % 0.31/0.76 (define @t232 () (@var "V_a_H" $$unsorted)) % 0.31/0.76 (define @t233 () (@var "V_list_H" $$unsorted)) % 0.31/0.76 (define @t234 () (tptp.c_List_Olist_OCons @t232 @t233 @t1)) % 0.31/0.76 (define @t235 () (not (= (tptp.c_List_Olist_OCons @t103 @t28 @t1) @t234))) % 0.31/0.76 (define @t236 () (@list @t103 @t28 @t1 @t232 @t233)) % 0.31/0.76 (define @t237 () (not (tptp.c_List_Olinorder__class_Osorted @t39 @t1))) % 0.31/0.76 (define @t238 () (@list @t1 @t2 @t38)) % 0.31/0.76 (define @t239 () (@var "V_i_H" $$unsorted)) % 0.31/0.76 (define @t240 () (@var "V_x_H" $$unsorted)) % 0.31/0.76 (define @t241 () (tptp.c_List_Olist__update @t2 @t11 @t13 @t1)) % 0.31/0.76 (define @t242 () (@var "V_l" $$unsorted)) % 0.31/0.76 (define @t243 () (tptp.c_List_Olist__all @t25 @t85 @t1)) % 0.31/0.76 (define @t244 () (not (= @t105 @t107))) % 0.31/0.76 (define @t245 () (@list @t2 @t13 @t1 @t38 @t10)) % 0.31/0.76 (define @t246 () (not @t177)) % 0.31/0.76 (define @t247 () (@var "V_ts" $$unsorted)) % 0.31/0.76 (define @t248 () (@list @t73 @t72 @t1)) % 0.31/0.76 (define @t249 () (not (= @t39 @t35))) % 0.31/0.76 (define @t250 () (not (= @t35 @t39))) % 0.31/0.76 (define @t251 () (@list @t4 @t1)) % 0.31/0.76 (define @t252 () (@list @t25 @t1)) % 0.31/0.76 (define @t253 () (tptp.c_List_Oappend @t2 @t35 @t1)) % 0.31/0.76 (define @t254 () (tptp.c_List_Omap @t73 @t167 @t72 @t1)) % 0.31/0.76 (define @t255 () (@list @t145 @t142 @t72 @t1)) % 0.31/0.76 (define @t256 () (@var "V_v" $$unsorted)) % 0.31/0.76 (define @t257 () (@var "V_m" $$unsorted)) % 0.31/0.76 (define @t258 () (tptp.c_List_Olistsp @t117 @t2 @t1)) % 0.31/0.76 (define @t259 () (tptp.c_List_Olistsp @t117 @t38 @t1)) % 0.31/0.76 (define @t260 () (tptp.c_List_Olistsp @t117 @t39 @t1)) % 0.31/0.76 (define @t261 () (not @t260)) % 0.31/0.76 (define @t262 () (@list @t117 @t103)) % 0.31/0.76 (define @t263 () (forall @t231 (tptp.c_List_Olistsp @t117 @t35 @t1))) % 0.31/0.76 (define @t264 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.31/0.76 (define @t265 () (@var "T_1" $$unsorted)) % 0.31/0.76 (define @t266 () (not (tptp.class_Lattices_Olattice @t265))) % 0.31/0.76 (define @t267 () (@var "T_2" $$unsorted)) % 0.31/0.76 (define @t268 () (tptp.tc_fun @t267 @t265)) % 0.31/0.76 (define @t269 () (@list @t267 @t265)) % 0.31/0.76 (define @t270 () (@var "V_Y" $$unsorted)) % 0.31/0.76 (define @t271 () (@var "V_X" $$unsorted)) % 0.31/0.76 (assume @p1 (forall @t7 (= (tptp.c_List_Odrop @t6 @t2 @t1) @t5))) % 0.31/0.76 (assume @p2 (forall @t7 (= @t9 (tptp.c_List_Otl @t8 @t1)))) % 0.31/0.76 (assume @p3 (forall (@list @t13 @t2 @t1 @t11 @t10) (= (tptp.c_List_Olist__update @t14 (tptp.c_Suc @t11) @t10 @t1) (tptp.c_List_Olist_OCons @t13 @t12 @t1)))) % 0.31/0.76 (assume @p4 (forall @t16 (= (tptp.c_List_Odrop @t6 @t14 @t1) @t15))) % 0.31/0.76 (assume @p5 (forall @t16 (= (tptp.c_List_Otake @t6 @t14 @t1) (tptp.c_List_Olist_OCons @t13 @t17 @t1)))) % 0.31/0.76 (assume @p6 (forall @t18 (not (= @t4 @t6)))) % 0.31/0.76 (assume @p7 (forall @t18 (not (= @t6 @t4)))) % 0.31/0.76 (assume @p8 (forall (@list @t20 @t19) (or (not (= (tptp.c_Suc @t20) (tptp.c_Suc @t19))) (= @t20 @t19)))) % 0.31/0.76 (assume @p9 (forall (@list @t13 @t10) (or (not (= (tptp.c_Suc @t13) (tptp.c_Suc @t10))) @t21))) % 0.31/0.76 (assume @p10 (forall @t7 (= (tptp.c_List_Orotate @t6 @t2 @t1) @t23))) % 0.31/0.76 (assume @p11 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdrop__Xinduct__1 @t25) @t27 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p12 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xrev__Xinduct__1 @t25) @t31 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p13 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xfoldl__Xinduct__1 @t25) @t32 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p14 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xconcat__Xinduct__1 @t25) @t33 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p15 (forall @t34 (= (tptp.c_List_Ohd @t14 @t1) @t13))) % 0.31/0.76 (assume @p16 (forall @t40 (or (= (tptp.c_List_Ohd @t39 @t1) @t37) @t36))) % 0.31/0.76 (assume @p17 (forall @t43 (= (tptp.c_List_Ohd @t42 @t1) @t41))) % 0.31/0.76 (assume @p18 (forall @t7 (or (= @t8 (tptp.c_List_Olist_OCons @t37 @t9 @t1)) @t36))) % 0.31/0.76 (assume @p19 (forall @t45 (or (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Ohd @t44 @t1)))) (= @t44 @t35)))) % 0.31/0.76 (assume @p20 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xhd__Xinduct__1 @t25) @t46 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p21 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtake__Xinduct__1 @t25) @t47 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p22 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xset__Xinduct__1 @t25) @t48 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p23 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xmap__Xinduct__1 @t25) @t49 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p24 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinducts__1 @t25) @t50 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p25 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 @t25) @t51 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p26 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__update__Xinduct__1 @t25) @t52 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p27 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremdups__Xinduct__1 @t25) @t53 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p28 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XremoveAll__Xinduct__1 @t25) @t54 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p29 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XtakeWhile__Xinduct__1 @t25) @t55 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p30 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 @t25) @t56 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p31 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xzip__Xinduct__1 @t25) @t57 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p32 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistset__Xinduct__1 @t25) @t58 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p33 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 @t25) @t59 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p34 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xsplice__Xinduct__1 @t25) @t60 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p35 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 @t25) @t61 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p36 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistsum__Xinduct__1 @t25) @t62 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p37 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlast__Xinduct__1 @t25) @t63 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p38 (forall @t30 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtl__Xinduct__1 @t25) @t64 tptp.t_a)))) @t26))) % 0.31/0.76 (assume @p39 (forall @t66 (or (= (tptp.c_List_Osplice @t14 @t38 @t1) (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Olist_OCons @t41 (tptp.c_List_Osplice @t2 (tptp.c_List_Otl @t38 @t1) @t1) @t1) @t1)) @t65))) % 0.31/0.76 (assume @p40 (forall @t45 (or @t69 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Oappend @t68 (tptp.c_List_Olist_OCons (tptp.c_List_Osko__List__Xrev__induct__1__1 @t25 @t1) @t35 @t1) @t1)))) @t67))) % 0.31/0.76 (assume @p41 (forall @t71 (or (= @t70 (tptp.c_List_Oappend @t3 (tptp.c_List_Olist_OCons @t37 @t35 @t1) @t1)) @t36))) % 0.31/0.76 (assume @p42 (forall @t75 (or @t74 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Omap @t73 (tptp.c_List_Olinorder__class_Osort__key @t73 @t2 @t72 @t1) @t72 @t1) @t1)))) % 0.31/0.76 (assume @p43 (forall @t7 (= @t5 @t76))) % 0.31/0.76 (assume @p44 (forall (@list @t79 @t13 @t78 @t1 @t77) (or (tptp.c_ListOrder_Ostep1 @t79 (tptp.c_List_Oappend @t13 @t78 @t1) (tptp.c_List_Oappend @t13 @t77 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t79 @t78 @t77 @t1))))) % 0.31/0.76 (assume @p45 (forall (@list @t79 @t38 @t2 @t1 @t13) (or @t82 (tptp.c_ListOrder_Ostep1 @t79 (tptp.c_List_Oappend @t38 @t13 @t1) @t80 @t1)))) % 0.31/0.76 (assume @p46 (forall (@list @t13 @t1 @t2) (or (not (= @t83 @t85)) @t84))) % 0.31/0.76 (assume @p47 (forall @t91 (or (= @t90 (tptp.c_List_Olist_OCons @t13 @t89 @t1)) @t88))) % 0.31/0.76 (assume @p48 (forall @t94 (or @t74 (tptp.c_List_Olinorder__class_Osorted @t15 @t1) @t93))) % 0.31/0.76 (assume @p49 (forall @t96 (= (tptp.c_List_Otake @t4 @t95 @t1) (tptp.c_List_Omap @t73 (tptp.c_List_Otake @t4 @t2 @t72) @t72 @t1)))) % 0.31/0.76 (assume @p50 (forall @t45 (= (tptp.c_List_Oremdups @t89 @t1) (tptp.c_List_Ofilter @t25 @t97 @t1)))) % 0.31/0.76 (assume @p51 (forall (@list @t25 @t4 @t2 @t1 @t38 @t72) (or (tptp.c_List_Olist__all2 @t25 @t17 (tptp.c_List_Otake @t4 @t38 @t72) @t1 @t72) @t99))) % 0.31/0.76 (assume @p52 (forall (@list @t13 @t2 @t1 @t25 @t38) (or (not (= @t14 @t100)) @t87))) % 0.31/0.76 (assume @p53 (forall @t34 (= (tptp.c_List_Orev @t14 @t1) (tptp.c_List_Oappend @t85 @t83 @t1)))) % 0.31/0.76 (assume @p54 (forall @t40 (or @t102 (not (tptp.c_List_Olist__all2 @t101 @t2 @t38 @t1 @t1))))) % 0.31/0.76 (assume @p55 (forall (@list @t73 @t103 @t13 @t2 @t72 @t1) (= (tptp.c_List_Ofoldl @t73 @t103 @t104 @t1 @t72) (tptp.c_List_Ofoldl @t73 (tptp.hAPP (tptp.hAPP @t73 @t103) @t13) @t2 @t1 @t72)))) % 0.31/0.76 (assume @p56 (forall (@list @t79 @t10 @t13 @t38 @t2 @t1) (or @t110 @t81 @t108))) % 0.31/0.76 (assume @p57 (forall @t7 (= @t76 @t5))) % 0.31/0.76 (assume @p58 (forall @t112 (= @t111 @t83))) % 0.31/0.76 (assume @p59 (forall (@list @t2 @t1 @t10 @t38) (or (not (= @t85 @t115)) (= @t2 @t114)))) % 0.31/0.76 (assume @p60 (forall @t120 (= @t119 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 @t117 @t116)))) % 0.31/0.76 (assume @p61 (forall @t124 (or @t123 @t122))) % 0.31/0.76 (assume @p62 (forall @t124 (or @t125 @t122))) % 0.31/0.76 (assume @p63 (forall (@list @t1 @t10 @t126 @t13) (or @t74 (tptp.c_List_Olinorder__class_Osorted @t127 @t1) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t13 @t127 @t1) @t1))))) % 0.31/0.76 (assume @p64 (forall (@list @t25 @t103 @t130 @t1 @t128 @t129 @t72) (or (tptp.c_List_Olist__all2 @t25 (tptp.c_List_Oappend @t103 @t130 @t1) (tptp.c_List_Oappend @t128 @t129 @t72) @t1 @t72) (not (tptp.c_List_Olist__all2 @t25 @t130 @t129 @t1 @t72)) (not (tptp.c_List_Olist__all2 @t25 @t103 @t128 @t1 @t72))))) % 0.31/0.76 (assume @p65 (forall (@list @t13 @t131 @t1 @t126) (= @t134 @t132))) % 0.31/0.76 (assume @p66 (forall @t66 (= (tptp.c_List_Oappend @t14 @t38 @t1) (tptp.c_List_Olist_OCons @t13 @t39 @t1)))) % 0.31/0.76 (assume @p67 (forall @t71 (or @t137 @t136))) % 0.31/0.76 (assume @p68 (forall @t71 (or @t135 (not @t137)))) % 0.31/0.76 (assume @p69 (forall @t45 (or (tptp.c_List_Odistinct @t89 @t1) @t136))) % 0.31/0.76 (assume @p70 (forall (@list @t73 @t13 @t131 @t72 @t1) (= (tptp.c_List_Omap @t73 (tptp.c_List_Olist_OCons @t13 @t131 @t72) @t72 @t1) (tptp.c_List_Olist_OCons @t138 (tptp.c_List_Omap @t73 @t131 @t72 @t1) @t1)))) % 0.31/0.76 (assume @p71 (forall (@list @t73 @t131 @t139 @t72 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t73 @t131) (tptp.c_List_Omap @t73 @t139 @t72 @t1) @t1) (tptp.c_List_Omap @t73 @t140 @t72 @t1)))) % 0.31/0.76 (assume @p72 (forall @t141 (= (tptp.c_List_Omap @t73 @t104 @t72 @t1) (tptp.c_List_Olist_OCons @t138 @t95 @t1)))) % 0.31/0.76 (assume @p73 (forall @t146 (= (tptp.c_List_Olist_Olist__case @t145 @t142 @t144 @t1 @t72) @t143))) % 0.31/0.76 (assume @p74 (forall @t34 (= (tptp.c_List_Oremove1 @t13 @t14 @t1) @t2))) % 0.31/0.76 (assume @p75 (forall (@list @t25 @t13 @t10 @t2 @t1 @t38 @t72) (or @t150 @t149))) % 0.31/0.76 (assume @p76 (forall (@list @t13 @t131 @t126 @t1) (= @t132 @t134))) % 0.31/0.76 (assume @p77 (forall (@list @t13 @t151 @t126 @t1) (= (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Oappend @t151 @t126 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t13 @t151 @t1) @t126 @t1)))) % 0.31/0.76 (assume @p78 (forall (@list @t13 @t10 @t79 @t38 @t1 @t2) (or @t21 @t110 @t152))) % 0.31/0.76 (assume @p79 (forall @t7 (= (tptp.c_List_Oappend @t17 @t15 @t1) @t2))) % 0.31/0.76 (assume @p80 (forall (@list @t1 @t2 @t13) (or @t74 @t92 (not (tptp.c_List_Olinorder__class_Osorted @t14 @t1))))) % 0.31/0.76 (assume @p81 (forall (@list @t38 @t1 @t10) (= (tptp.c_List_Orev @t114 @t1) @t115))) % 0.31/0.76 (assume @p82 (forall @t153 (or (tptp.c_List_Odistinct (tptp.c_List_Odrop @t11 @t2 @t1) @t1) @t136))) % 0.31/0.76 (assume @p83 (forall @t71 (or @t154 @t136))) % 0.31/0.76 (assume @p84 (forall @t71 (or @t135 (not @t154)))) % 0.31/0.76 (assume @p85 (forall @t158 (or @t157 @t156))) % 0.31/0.76 (assume @p86 (forall @t71 (or (not @t159) @t135))) % 0.31/0.76 (assume @p87 (forall @t71 (or @t159 @t136))) % 0.31/0.76 (assume @p88 (forall @t163 (or @t87 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons @t162 @t161 tptp.t_a)))) @t26 @t160))) % 0.31/0.76 (assume @p89 (forall @t91 (or @t87 @t156))) % 0.31/0.76 (assume @p90 (forall @t163 (or @t87 (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_OCons @t165 @t164 tptp.t_a)))) @t26 @t160))) % 0.31/0.76 (assume @p91 (forall (@list @t13 @t166 @t1) (not (= (tptp.c_List_Olist_OCons @t13 @t166 @t1) @t166)))) % 0.31/0.76 (assume @p92 (forall (@list @t2 @t13 @t1) (not (= @t2 @t14)))) % 0.31/0.76 (assume @p93 (forall (@list @t13 @t2 @t72) (= (tptp.c_List_Orotate1 @t104 @t72) (tptp.c_List_Oappend @t2 (tptp.c_List_Olist_OCons @t13 @t167 @t72) @t72)))) % 0.31/0.76 (assume @p94 (forall @t34 (= @t14 @t168))) % 0.31/0.76 (assume @p95 (forall (@list @t73 @t2 @t169 @t10 @t72 @t1) (= (tptp.c_List_Omap @t73 (tptp.c_List_Olist__update @t2 @t169 @t10 @t72) @t72 @t1) (tptp.c_List_Olist__update @t95 @t169 (tptp.hAPP @t73 @t10) @t1)))) % 0.31/0.76 (assume @p96 (forall @t112 (= @t83 @t111))) % 0.31/0.76 (assume @p97 (forall (@list @t38 @t2 @t79 @t1 @t10 @t13) (or @t170 @t81 @t108))) % 0.31/0.76 (assume @p98 (forall (@list @t118 @t13 @t117 @t1) (or @t173 @t172))) % 0.31/0.76 (assume @p99 (forall (@list @t117 @t13 @t118 @t1) (or @t174 @t172))) % 0.31/0.76 (assume @p100 (forall @t178 (or @t177 (not @t176) @t175))) % 0.31/0.76 (assume @p101 (forall @t179 (or @t74 (tptp.c_List_Olinorder__class_Osorted @t83 @t1)))) % 0.31/0.76 (assume @p102 (forall @t153 (or (tptp.c_List_Odistinct (tptp.c_List_Otake @t11 @t2 @t1) @t1) @t136))) % 0.31/0.76 (assume @p103 (forall @t40 (= (tptp.c_List_Orev @t39 @t1) (tptp.c_List_Oappend @t113 @t85 @t1)))) % 0.31/0.76 (assume @p104 (forall (@list @t73 @t103 @t2 @t38 @t72 @t1) (= (tptp.c_List_Ofoldl @t73 @t103 @t180 @t1 @t72) (tptp.c_List_Ofoldl @t73 (tptp.c_List_Ofoldl @t73 @t103 @t2 @t1 @t72) @t38 @t1 @t72)))) % 0.31/0.76 (assume @p105 (forall @t181 (or @t135 (not (tptp.c_List_Odistinct @t14 @t1))))) % 0.31/0.76 (assume @p106 (forall @t178 (= (tptp.c_List_Ofilter @t25 @t39 @t1) (tptp.c_List_Oappend @t89 @t100 @t1)))) % 0.31/0.76 (assume @p107 (forall @t185 (or @t184 (not @t183)))) % 0.31/0.76 (assume @p108 (forall (@list @t25 @t2 @t38 @t72 @t1) (or @t183 (not @t184)))) % 0.31/0.76 (assume @p109 (forall @t187 (= @t186 @t35))) % 0.31/0.76 (assume @p110 (forall @t189 (or (not (= @t95 @t35)) @t188))) % 0.31/0.76 (assume @p111 (forall (@list @t25 @t1 @t72) (tptp.c_List_Olist__all2 @t25 @t35 @t167 @t1 @t72))) % 0.31/0.76 (assume @p112 (forall @t71 (or @t36 (not (tptp.c_List_Onull @t2 @t1))))) % 0.31/0.76 (assume @p113 (forall @t187 (= @t35 @t190))) % 0.31/0.76 (assume @p114 (forall @t187 (= @t35 @t191))) % 0.31/0.76 (assume @p115 (forall (@list @t38 @t2 @t1) (or (not (= @t38 @t39)) @t36))) % 0.31/0.76 (assume @p116 (forall @t40 (or (not (= @t39 @t38)) @t36))) % 0.31/0.76 (assume @p117 (forall @t40 (or (not (= @t2 @t39)) @t65))) % 0.31/0.76 (assume @p118 (forall @t40 (or (not (= @t39 @t2)) @t65))) % 0.31/0.76 (assume @p119 (forall @t112 (or (not (= @t193 @t35)) @t192))) % 0.31/0.76 (assume @p120 (forall (@list @t13 @t10 @t2 @t38 @t79 @t1) (or @t21 @t102 @t152))) % 0.31/0.76 (assume @p121 (forall (@list @t79 @t10 @t131 @t13 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t109 @t131))) (tptp.c_ListOrder_Ostep1 @t79 (tptp.c_List_Olist_OCons @t10 @t13 @t1) (tptp.c_List_Olist_OCons @t131 @t13 @t1) @t1)))) % 0.31/0.76 (assume @p122 (forall @t189 (= (tptp.c_List_Orev @t95 @t1) (tptp.c_List_Omap @t73 (tptp.c_List_Orev @t2 @t72) @t72 @t1)))) % 0.31/0.76 (assume @p123 (forall (@list @t38 @t2 @t1 @t126) (or (not (= (tptp.c_List_Oappend @t38 @t2 @t1) (tptp.c_List_Oappend @t126 @t2 @t1))) @t194))) % 0.31/0.76 (assume @p124 (forall @t195 (or (not (= @t39 (tptp.c_List_Oappend @t2 @t126 @t1))) @t194))) % 0.31/0.76 (assume @p125 (forall @t94 (or @t74 (tptp.c_List_Olinorder__class_Osorted @t17 @t1) @t93))) % 0.31/0.76 (assume @p126 (forall (@list @t72 @t2 @t1 @t73) (or @t197 @t135 (not @t196)))) % 0.31/0.76 (assume @p127 (forall (@list @t72 @t73 @t2 @t1) (or @t197 @t196 @t136))) % 0.31/0.76 (assume @p128 (forall (@list @t25 @t38 @t1 @t13 @t2) (or (not (= @t100 @t14)) @t87))) % 0.31/0.76 (assume @p129 (forall (@list @t25 @t2 @t38 @t1 @t72 @t13 @t10) (or @t98 @t149))) % 0.31/0.76 (assume @p130 (forall @t96 (= (tptp.c_List_Orotate @t4 @t95 @t1) (tptp.c_List_Omap @t73 (tptp.c_List_Orotate @t4 @t2 @t72) @t72 @t1)))) % 0.31/0.76 (assume @p131 (forall @t199 (or @t135 @t198))) % 0.31/0.76 (assume @p132 (forall (@list @t38 @t1 @t2) (or (tptp.c_List_Odistinct @t38 @t1) @t198))) % 0.31/0.76 (assume @p133 (forall @t71 (= @t2 @t200))) % 0.31/0.76 (assume @p134 (forall @t201 (= (tptp.c_List_Orev @t113 @t1) @t38))) % 0.31/0.76 (assume @p135 (forall @t71 (= @t200 @t2))) % 0.31/0.76 (assume @p136 (forall @t45 (or (tptp.c_List_Odistinct @t44 @t1) @t136))) % 0.31/0.76 (assume @p137 (forall (@list @t25 @t2 @t38 @t1 @t72) (or @t98 (not @t202)))) % 0.31/0.76 (assume @p138 (forall @t185 (or @t202 @t99))) % 0.31/0.76 (assume @p139 (forall @t141 (= (tptp.c_List_Oconcat__map @t73 @t104 @t72 @t1) (tptp.c_List_Oappend @t138 (tptp.c_List_Oconcat__map @t73 @t2 @t72 @t1) @t1)))) % 0.31/0.76 (assume @p140 (forall (@list @t73 @t2 @t38 @t72 @t103 @t1) (= (tptp.c_List_Ofoldr @t73 @t180 @t103 @t72 @t1) (tptp.c_List_Ofoldr @t73 @t2 (tptp.c_List_Ofoldr @t73 @t38 @t103 @t72 @t1) @t72 @t1)))) % 0.31/0.76 (assume @p141 (forall @t91 (or @t203 @t88))) % 0.31/0.76 (assume @p142 (forall (@list @t79 @t10 @t13 @t38 @t1 @t2) (or @t110 @t204 @t108))) % 0.31/0.76 (assume @p143 (forall @t181 (or (not (= @t85 @t83)) @t84))) % 0.31/0.76 (assume @p144 (forall (@list @t25 @t2 @t1 @t10 @t38) (or (not (= @t44 @t115)) (not (tptp.hBOOL (tptp.hAPP @t25 @t10)))))) % 0.31/0.76 (assume @p145 (forall (@list @t25 @t13 @t2 @t1 @t10 @t38 @t72) (or @t148 @t99 @t205))) % 0.31/0.76 (assume @p146 (forall (@list @t25 @t13 @t2 @t1 @t131 @t139 @t72) (or (tptp.c_List_Olist__all2 @t25 @t14 @t140 @t1 @t72) (not (tptp.c_List_Olist__all2 @t25 @t2 @t139 @t1 @t72)) (not (tptp.hBOOL (tptp.hAPP @t86 @t131)))))) % 0.31/0.76 (assume @p147 (forall (@list @t25 @t13 @t131 @t1 @t10 @t38 @t72) (or (tptp.c_List_Olist__all2 @t25 @t133 @t147 @t1 @t72) (not (tptp.c_List_Olist__all2 @t25 @t131 @t38 @t1 @t72)) @t205))) % 0.31/0.76 (assume @p148 (forall @t91 (or @t203 (not @t206)))) % 0.31/0.76 (assume @p149 (forall @t158 (or @t206 @t87 (not @t203)))) % 0.31/0.76 (assume @p150 (forall (@list @t79 @t13 @t2 @t1 @t10 @t38) (or (tptp.c_List_Olistrelp @t79 @t14 @t115 @t1) (not (tptp.c_List_Olistrelp @t79 @t2 @t38 @t1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t13) @t10)))))) % 0.31/0.76 (assume @p151 (forall @t210 (or @t125 @t209))) % 0.31/0.76 (assume @p152 (forall @t210 (or @t125 @t211))) % 0.31/0.76 (assume @p153 (forall @t210 (or @t123 @t211))) % 0.31/0.76 (assume @p154 (forall @t210 (or @t123 @t209))) % 0.31/0.76 (assume @p155 (forall (@list @t117 @t118 @t1 @t212) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t119 @t212 @t116) @t213))) % 0.31/0.76 (assume @p156 (forall (@list @t117 @t118 @t212 @t1) (= @t213 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t118 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t212 @t116) @t116)))) % 0.31/0.76 (assume @p157 (forall (@list @t215 @t214) (or (not (= (tptp.c_Lambda_OdB_OAbs @t215) (tptp.c_Lambda_OdB_OAbs @t214))) (= @t215 @t214)))) % 0.31/0.76 (assume @p158 (forall (@list @t13 @t10 @t2 @t1) (or (= (tptp.c_List_Oremove1 @t13 (tptp.c_List_Olist_OCons @t10 @t2 @t1) @t1) (tptp.c_List_Olist_OCons @t10 @t216 @t1)) @t21))) % 0.31/0.76 (assume @p159 (forall (@list @t13 @t2 @t1 @t10 @t38) (= (tptp.c_List_Osplice @t14 @t115 @t1) (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Olist_OCons @t10 (tptp.c_List_Osplice @t2 @t38 @t1) @t1) @t1)))) % 0.31/0.76 (assume @p160 (forall (@list @t2 @t217 @t1) (or (tptp.c_List_Odistinct (tptp.c_List_Osublist @t2 @t217 @t1) @t1) @t136))) % 0.31/0.76 (assume @p161 (forall (@list @t13 @t10 @t38 @t1) (or @t219 (not @t218)))) % 0.31/0.76 (assume @p162 (forall @t40 (or (= (tptp.c_List_Otl @t39 @t1) (tptp.c_List_Oappend @t3 @t38 @t1)) @t36))) % 0.31/0.76 (assume @p163 (forall @t34 (or (tptp.c_List_Odistinct @t216 @t1) @t136))) % 0.31/0.76 (assume @p164 (forall @t91 (or (= @t220 @t44) @t88))) % 0.31/0.76 (assume @p165 (forall @t91 (or (= @t220 @t14) @t87))) % 0.31/0.76 (assume @p166 (forall @t221 (or @t81 @t102 @t152))) % 0.31/0.76 (assume @p167 (forall @t34 (= (tptp.c_List_Otl @t14 @t1) @t2))) % 0.31/0.76 (assume @p168 (forall @t34 (= (tptp.c_List_Osplice @t14 @t35 @t1) @t14))) % 0.31/0.76 (assume @p169 (forall (@list @t73 @t2 @t38 @t72 @t1) (= (tptp.c_List_Omap @t73 @t180 @t72 @t1) (tptp.c_List_Oappend @t95 (tptp.c_List_Omap @t73 @t38 @t72 @t1) @t1)))) % 0.31/0.76 (assume @p170 (forall (@list @t13 @t38 @t1) (tptp.c_List_Omember @t13 @t222 @t1))) % 0.31/0.76 (assume @p171 (forall (@list @t103 @t117) (or (= @t103 (tptp.c_List_Olist_OCons @t226 @t225 tptp.t_a)) @t224 @t223))) % 0.31/0.76 (assume @p172 (forall (@list @t25 @t4 @t228 @t1 @t227 @t72) (or (tptp.c_List_Olist__all2 @t25 (tptp.c_List_Odrop @t4 @t228 @t1) (tptp.c_List_Odrop @t4 @t227 @t72) @t1 @t72) (not (tptp.c_List_Olist__all2 @t25 @t228 @t227 @t1 @t72))))) % 0.31/0.76 (assume @p173 (forall (@list @t13 @t25 @t2 @t1) (or (= (tptp.c_List_Oremove1 @t13 @t89 @t1) @t89) @t87))) % 0.31/0.76 (assume @p174 (forall @t146 (= (tptp.c_List_Olist_Olist__rec @t145 @t142 @t144 @t1 @t72) (tptp.hAPP @t143 (tptp.c_List_Olist_Olist__rec @t145 @t142 @t28 @t1 @t72))))) % 0.31/0.76 (assume @p175 (forall (@list @t2 @t72 @t73 @t1) (or (tptp.c_List_Odistinct @t2 @t72) (not (tptp.c_List_Odistinct @t95 @t1))))) % 0.31/0.76 (assume @p176 (forall @t199 (or (not (= @t85 @t113)) @t102))) % 0.31/0.76 (assume @p177 (forall (@list @t38 @t2 @t10 @t13 @t79 @t1) (or @t170 @t204 @t108))) % 0.31/0.76 (assume @p178 (forall (@list @t2 @t1 @t4) (or @t135 (not @t229)))) % 0.31/0.76 (assume @p179 (forall @t7 (or @t229 @t136))) % 0.31/0.76 (assume @p180 (forall @t34 (not (tptp.c_List_Onull @t14 @t1)))) % 0.31/0.76 (assume @p181 (forall @t124 (or @t125 @t230))) % 0.31/0.76 (assume @p182 (forall @t124 (or @t123 @t230))) % 0.31/0.76 (assume @p183 (forall @t120 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t119 @t116) @t119))) % 0.31/0.76 (assume @p184 (forall (@list @t73 @t13 @t2 @t72 @t103 @t1) (= (tptp.c_List_Ofoldr @t73 @t104 @t103 @t72 @t1) (tptp.hAPP @t138 (tptp.c_List_Ofoldr @t73 @t2 @t103 @t72 @t1))))) % 0.31/0.76 (assume @p185 (forall (@list @t1 @t13 @t2) (= @t168 @t14))) % 0.31/0.76 (assume @p186 (forall @t71 (tptp.c_List_Odistinct @t97 @t1))) % 0.31/0.76 (assume @p187 (forall @t179 (or @t123 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t13 @t13 @t1) @t13)))) % 0.31/0.76 (assume @p188 (forall @t231 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t117 @t117 @t116) @t117))) % 0.31/0.76 (assume @p189 (forall @t236 (or @t235 (= @t103 @t232)))) % 0.31/0.76 (assume @p190 (forall @t236 (or @t235 (= @t28 @t233)))) % 0.31/0.76 (assume @p191 (forall @t221 (or @t81 @t110 @t152))) % 0.31/0.76 (assume @p192 (forall (@list @t79 @t13 @t38 @t1 @t2) (or (tptp.c_ListOrder_Ostep1 @t79 @t222 @t14 @t1) @t82))) % 0.31/0.76 (assume @p193 (forall @t238 (or @t74 @t92 @t237))) % 0.31/0.76 (assume @p194 (forall (@list @t1 @t38 @t2) (or @t74 (tptp.c_List_Olinorder__class_Osorted @t38 @t1) @t237))) % 0.31/0.76 (assume @p195 (forall @t91 (or @t155 @t175 @t88))) % 0.31/0.76 (assume @p196 (forall (@list @t2 @t11 @t13 @t1 @t239 @t240) (or (= (tptp.c_List_Olist__update @t241 @t239 @t240 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t2 @t239 @t240 @t1) @t11 @t13 @t1)) (= @t11 @t239)))) % 0.31/0.76 (assume @p197 (forall (@list @t1 @t242) (or @t74 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups @t242 @t1) @t1) (not (tptp.c_List_Olinorder__class_Osorted @t242 @t1))))) % 0.31/0.76 (assume @p198 (forall @t45 (or @t157 (not @t243)))) % 0.31/0.76 (assume @p199 (forall @t45 (or @t243 @t175))) % 0.31/0.76 (assume @p200 (forall @t96 (= (tptp.c_List_Odrop @t4 @t95 @t1) (tptp.c_List_Omap @t73 (tptp.c_List_Odrop @t4 @t2 @t72) @t72 @t1)))) % 0.31/0.76 (assume @p201 (forall (@list @t13 @t38 @t1 @t10) (or @t218 @t21 (not @t219)))) % 0.31/0.76 (assume @p202 (forall @t91 (or (= @t90 @t89) @t87))) % 0.31/0.76 (assume @p203 (forall (@list @t117 @t118 @t1 @t13) (or @t171 (not @t173) (not @t174)))) % 0.31/0.76 (assume @p204 (forall @t45 (= (tptp.c_List_Orev @t89 @t1) (tptp.c_List_Ofilter @t25 @t85 @t1)))) % 0.31/0.76 (assume @p205 (forall @t179 (tptp.c_List_Olist__all2 @t101 @t13 @t13 @t1 @t1))) % 0.31/0.76 (assume @p206 (forall @t245 (or @t244 @t102))) % 0.31/0.76 (assume @p207 (forall @t245 (or @t244 @t21))) % 0.31/0.76 (assume @p208 (forall (@list @t25 @t2 @t1 @t38) (or @t157 @t246))) % 0.31/0.76 (assume @p209 (forall (@list @t25 @t38 @t1 @t2) (or @t176 @t246))) % 0.31/0.76 (assume @p210 (forall @t7 (= @t23 (tptp.c_List_Orotate @t4 @t70 @t1)))) % 0.31/0.76 (assume @p211 (forall (@list @t25 @t145 @t142 @t103 @t28) (or (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_Olist__case @t145 @t142 (tptp.c_List_Olist_OCons @t103 @t28 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t25 @t143))))) % 0.31/0.76 (assume @p212 (forall (@list @t25 @t145 @t142 @t131 @t139) (or (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_Olist__case @t145 @t142 (tptp.c_List_Olist_OCons @t131 @t139 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t25 (tptp.hAPP (tptp.hAPP @t142 @t131) @t139)))))) % 0.31/0.76 (assume @p213 (forall (@list @t1 @t25 @t2) (or @t74 (tptp.c_List_Olinorder__class_Osorted @t44 @t1) @t93))) % 0.31/0.76 (assume @p214 (forall (@list @t2 @t11 @t13 @t1 @t10) (= (tptp.c_List_Olist__update @t241 @t11 @t10 @t1) @t12))) % 0.31/0.76 (assume @p215 (forall @t195 (= (tptp.c_List_Oappend @t39 @t126 @t1) (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t38 @t126 @t1) @t1)))) % 0.31/0.76 (assume @p216 (forall (@list @t2 @t151 @t77 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t151 @t77 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t2 @t151 @t1) @t77 @t1)))) % 0.31/0.76 (assume @p217 (forall (@list @t126 @t13 @t1 @t38) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t126 @t13 @t1) @t38 @t1) (tptp.c_List_Oappend @t126 (tptp.c_List_Oappend @t13 @t38 @t1) @t1)))) % 0.31/0.76 (assume @p218 (forall (@list @t2 @t13 @t247 @t1) (= (tptp.c_List_Oappend @t2 (tptp.c_List_Oappend @t13 @t247 @t1) @t1) (tptp.c_List_Oappend @t80 @t247 @t1)))) % 0.31/0.76 (assume @p219 (forall (@list @t1 @t103 @t2) (or @t74 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t103 @t2 @t1) @t1) @t93))) % 0.31/0.76 (assume @p220 (forall @t71 (= (tptp.c_List_Osplice @t2 @t35 @t1) @t2))) % 0.31/0.76 (assume @p221 (forall @t43 (= (tptp.c_List_Osplice @t35 @t38 @t1) @t38))) % 0.31/0.76 (assume @p222 (forall @t187 (= (tptp.c_List_Otl @t35 @t1) @t35))) % 0.31/0.76 (assume @p223 (forall @t7 (or (not (= @t22 @t35)) @t36))) % 0.31/0.76 (assume @p224 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t31)) @t26))) % 0.31/0.76 (assume @p225 (forall (@list @t1 @t2) (or (not (= @t35 @t85)) @t36))) % 0.31/0.76 (assume @p226 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t60)) @t26))) % 0.31/0.76 (assume @p227 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t48)) @t26))) % 0.31/0.76 (assume @p228 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t64)) @t26))) % 0.31/0.76 (assume @p229 (forall (@list @t2 @t1 @t25 @t72) (or @t36 (not (tptp.c_List_Olist__all2 @t25 @t2 @t167 @t1 @t72))))) % 0.31/0.76 (assume @p230 (forall (@list @t38 @t72 @t25 @t1) (or (= @t38 @t167) (not (tptp.c_List_Olist__all2 @t25 @t35 @t38 @t1 @t72))))) % 0.31/0.76 (assume @p231 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t50)) @t26))) % 0.31/0.76 (assume @p232 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t46)) @t26))) % 0.31/0.76 (assume @p233 (forall @t187 (tptp.c_List_Odistinct @t35 @t1))) % 0.31/0.76 (assume @p234 (forall (@list @t1 @t232 @t233) (not (= @t35 @t234)))) % 0.31/0.76 (assume @p235 (forall @t248 (= (tptp.c_List_Oconcat__map @t73 @t167 @t72 @t1) @t35))) % 0.31/0.76 (assume @p236 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t53)) @t26))) % 0.31/0.76 (assume @p237 (forall @t112 (not (tptp.c_List_Omember @t13 @t35 @t1)))) % 0.31/0.76 (assume @p238 (forall @t45 (or @t69 (tptp.hBOOL (tptp.hAPP @t25 @t68)) @t67))) % 0.31/0.76 (assume @p239 (forall (@list @t72 @t73 @t1) (or @t197 (= (tptp.c_List_Olinorder__class_Osort__key @t73 @t35 @t1 @t72) @t35)))) % 0.31/0.76 (assume @p240 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t27)) @t26))) % 0.31/0.76 (assume @p241 (forall @t40 (or @t249 @t65))) % 0.31/0.76 (assume @p242 (forall @t40 (or @t249 @t36))) % 0.31/0.76 (assume @p243 (forall @t238 (or @t250 @t65))) % 0.31/0.76 (assume @p244 (forall @t238 (or @t250 @t36))) % 0.31/0.76 (assume @p245 (forall (@list @t73 @t103 @t72 @t1) (= (tptp.c_List_Ofoldl @t73 @t103 @t167 @t1 @t72) @t103))) % 0.31/0.76 (assume @p246 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t62)) @t26))) % 0.31/0.76 (assume @p247 (forall (@list @t79 @t2 @t1) (not (tptp.c_ListOrder_Ostep1 @t79 @t2 @t35 @t1)))) % 0.31/0.76 (assume @p248 (forall (@list @t79 @t1 @t2) (not (tptp.c_ListOrder_Ostep1 @t79 @t35 @t2 @t1)))) % 0.31/0.76 (assume @p249 (forall @t187 (= @t191 @t35))) % 0.31/0.76 (assume @p250 (forall @t251 (= (tptp.c_List_Odrop @t4 @t35 @t1) @t35))) % 0.31/0.76 (assume @p251 (forall @t75 (or (not (= @t35 @t95)) @t188))) % 0.31/0.76 (assume @p252 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t54)) @t26))) % 0.31/0.76 (assume @p253 (forall (@list @t1 @t227) (= (tptp.c_List_Olist__inter @t35 @t227 @t1) @t35))) % 0.31/0.76 (assume @p254 (forall @t252 (= (tptp.c_List_OdropWhile @t25 @t35 @t1) @t35))) % 0.31/0.76 (assume @p255 (forall @t201 (= @t38 @t42))) % 0.31/0.76 (assume @p256 (forall @t43 (= @t42 @t38))) % 0.31/0.76 (assume @p257 (forall @t71 (= @t2 @t253))) % 0.31/0.76 (assume @p258 (forall @t112 (= @t13 (tptp.c_List_Oappend @t35 @t13 @t1)))) % 0.31/0.76 (assume @p259 (forall @t71 (= @t253 @t2))) % 0.31/0.76 (assume @p260 (forall @t71 (or (not (= @t70 @t35)) @t36))) % 0.31/0.76 (assume @p261 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t63)) @t26))) % 0.31/0.76 (assume @p262 (forall @t251 (= (tptp.c_List_Otake @t4 @t35 @t1) @t35))) % 0.31/0.76 (assume @p263 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t55)) @t26))) % 0.31/0.76 (assume @p264 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t52)) @t26))) % 0.31/0.76 (assume @p265 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t32)) @t26))) % 0.31/0.76 (assume @p266 (forall @t252 (tptp.c_List_Olist__all @t25 @t35 @t1))) % 0.31/0.76 (assume @p267 (forall @t187 (= (tptp.c_List_Orotate1 @t35 @t1) @t35))) % 0.31/0.76 (assume @p268 (forall @t252 (not (tptp.c_List_Olist__ex @t25 @t35 @t1)))) % 0.31/0.76 (assume @p269 (forall @t187 (tptp.c_List_Onull @t35 @t1))) % 0.31/0.76 (assume @p270 (forall (@list @t25 @t145 @t142) (or (not (tptp.hBOOL (tptp.hAPP @t25 (tptp.c_List_Olist_Olist__case @t145 @t142 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t25 @t145))))) % 0.31/0.76 (assume @p271 (forall (@list @t73 @t72 @t103 @t1) (= (tptp.c_List_Ofoldr @t73 @t167 @t103 @t72 @t1) @t103))) % 0.31/0.76 (assume @p272 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t57)) @t26))) % 0.31/0.76 (assume @p273 (forall @t248 (= @t254 @t35))) % 0.31/0.76 (assume @p274 (forall (@list @t1 @t117) (= (tptp.c_List_Osublist @t35 @t117 @t1) @t35))) % 0.31/0.76 (assume @p275 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t58)) @t26))) % 0.31/0.76 (assume @p276 (forall @t255 (= (tptp.c_List_Olist_Olist__rec @t145 @t142 @t167 @t1 @t72) @t145))) % 0.31/0.76 (assume @p277 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t56)) @t26))) % 0.31/0.76 (assume @p278 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t47)) @t26))) % 0.31/0.76 (assume @p279 (forall @t187 (or @t74 (tptp.c_List_Olinorder__class_Osorted @t35 @t1)))) % 0.31/0.76 (assume @p280 (forall @t248 (= (tptp.c_List_Ofiltermap @t73 @t167 @t72 @t1) @t35))) % 0.31/0.76 (assume @p281 (forall @t179 (or (not (= @t35 @t193)) @t192))) % 0.31/0.76 (assume @p282 (forall @t252 (= (tptp.c_List_Ofilter @t25 @t35 @t1) @t35))) % 0.31/0.76 (assume @p283 (forall (@list @t1 @t169 @t13) (= (tptp.c_List_Olist__update @t35 @t169 @t13 @t1) @t35))) % 0.31/0.76 (assume @p284 (forall (@list @t1 @t11 @t10) (= (tptp.c_List_Olist__update @t35 @t11 @t10 @t1) @t35))) % 0.31/0.76 (assume @p285 (forall (@list @t1 @t11 @t256) (= (tptp.c_List_Olist__update @t35 @t11 @t256 @t1) @t35))) % 0.31/0.76 (assume @p286 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t33)) @t26))) % 0.31/0.76 (assume @p287 (forall (@list @t13 @t131 @t1) (not (= @t133 @t35)))) % 0.31/0.76 (assume @p288 (forall (@list @t232 @t233 @t1) (not (= @t234 @t35)))) % 0.31/0.76 (assume @p289 (forall @t112 (= (tptp.c_List_Oremove1 @t13 @t35 @t1) @t35))) % 0.31/0.76 (assume @p290 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t61)) @t26))) % 0.31/0.76 (assume @p291 (forall (@list @t257 @t228 @t72 @t1) (= (tptp.c_Map_Omap__upds @t257 @t228 @t167 @t1 @t72) @t257))) % 0.31/0.76 (assume @p292 (forall (@list @t257 @t1 @t227 @t72) (= (tptp.c_Map_Omap__upds @t257 @t35 @t227 @t1 @t72) @t257))) % 0.31/0.76 (assume @p293 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t59)) @t26))) % 0.31/0.76 (assume @p294 (forall @t255 (= (tptp.c_List_Olist_Olist__case @t145 @t142 @t167 @t1 @t72) @t145))) % 0.31/0.76 (assume @p295 (forall @t71 (or (not (= @t85 @t35)) @t36))) % 0.31/0.76 (assume @p296 (forall @t251 (= (tptp.c_List_Orotate @t4 @t35 @t1) @t35))) % 0.31/0.76 (assume @p297 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t51)) @t26))) % 0.31/0.76 (assume @p298 (forall (@list @t1 @t73 @t72) (= @t35 @t254))) % 0.31/0.76 (assume @p299 (forall @t187 (= @t35 @t186))) % 0.31/0.76 (assume @p300 (forall (@list @t79 @t1) (tptp.c_List_Olistrelp @t79 @t35 @t35 @t1))) % 0.31/0.76 (assume @p301 (forall @t30 (or @t29 (tptp.hBOOL (tptp.hAPP @t25 @t49)) @t26))) % 0.31/0.76 (assume @p302 (forall @t187 (= @t190 @t35))) % 0.31/0.76 (assume @p303 (forall (@list @t2 @t169 @t13 @t1) (or (not (= (tptp.c_List_Olist__update @t2 @t169 @t13 @t1) @t35)) @t36))) % 0.31/0.76 (assume @p304 (forall (@list @t117 @t2 @t38 @t1) (or @t260 (not @t259) (not @t258)))) % 0.31/0.76 (assume @p305 (forall (@list @t117 @t2 @t1) (or @t258 (not (tptp.hBOOL (tptp.hAPP @t117 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t117 @t2 @t1))))))) % 0.31/0.76 (assume @p306 (forall (@list @t117 @t118 @t1 @t242) (or (tptp.c_List_Olistsp @t119 @t242 @t1) (not (tptp.c_List_Olistsp @t118 @t242 @t1)) (not (tptp.c_List_Olistsp @t117 @t242 @t1))))) % 0.31/0.76 (assume @p307 (forall (@list @t117 @t38 @t1 @t2) (or @t259 @t261))) % 0.31/0.76 (assume @p308 (forall (@list @t117 @t2 @t1 @t38) (or @t258 @t261))) % 0.31/0.76 (assume @p309 (forall (@list @t166 @t11) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift @t166 @t11))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t166)))))) % 0.31/0.76 (assume @p310 (forall (@list @t79) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs @t79))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t79)))))) % 0.31/0.76 (assume @p311 (forall @t163 (or @t87 (tptp.hBOOL (tptp.hAPP @t117 @t165)) @t26 @t160))) % 0.31/0.76 (assume @p312 (forall @t163 (or @t87 (tptp.hBOOL (tptp.hAPP @t25 @t164)) @t26 @t160))) % 0.31/0.76 (assume @p313 (forall @t163 (or @t87 (tptp.hBOOL (tptp.hAPP @t117 @t162)) @t26 @t160))) % 0.31/0.76 (assume @p314 (forall @t163 (or @t87 (tptp.hBOOL (tptp.hAPP @t25 @t161)) @t26 @t160))) % 0.31/0.76 (assume @p315 (forall @t262 (or (tptp.c_List_Olistsp @t117 @t225 tptp.t_a) @t224 @t223))) % 0.31/0.76 (assume @p316 (forall @t262 (or (tptp.hBOOL (tptp.hAPP @t117 @t226)) @t224 @t223))) % 0.31/0.76 (assume @p317 (forall @t163 (or @t87 (tptp.c_List_Olistsp @t117 @t164 tptp.t_a) @t26 @t160))) % 0.31/0.76 (assume @p318 (forall @t163 (or @t87 (tptp.c_List_Olistsp @t117 @t161 tptp.t_a) @t26 @t160))) % 0.31/0.76 (assume @p319 @t263) % 0.31/0.76 (assume @p320 (not @t264)) % 0.31/0.76 (assume @p321 (forall @t269 (or (tptp.class_Lattices_Olower__semilattice @t268) @t266))) % 0.31/0.76 (assume @p322 (forall @t269 (or (tptp.class_Lattices_Olattice @t268) @t266))) % 0.31/0.76 (assume @p323 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.31/0.76 (assume @p324 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.31/0.76 (assume @p325 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.31/0.76 (assume @p326 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.31/0.76 (assume @p327 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.31/0.76 (assume @p328 (forall @t179 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t13) @t13)))) % 0.31/0.76 (assume @p329 (forall (@list @t271 @t270 @t1) (or (= @t271 @t270) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t271) @t270)))))) % 0.31/0.76 (assume-push @p337 @t263) % 0.31/0.76 (step @p331 :rule instantiate :premises (@p319) :args ((@list tptp.c_InductTermi_OIT tptp.tc_Lambda_OdB))) % 0.31/0.76 (step-pop @p338 :rule scope :premises (@p331)) % 0.31/0.76 (step @p332 :rule process_scope :premises (@p338) :args (@t264)) % 0.31/0.76 (step @p334 :rule implies_elim :premises (@p332)) % 0.31/0.76 (step @p335 :rule reordering :premises (@p334) :args ((or @t264 (not @t263)))) % 0.31/0.76 (step @p336 false :rule chain_m_resolution :premises (@p335 @p320 @p319) :args (false (@list true false) (@list @t264 @t263))) % 0.31/0.76 ) % 0.31/0.76 % SZS output end Proof % 0.31/0.76 % cvc5 exiting %------------------------------------------------------------------------------