%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL771-1 : 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 : n006.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 11:23:48 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.79s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL771-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n006.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Fri Sep 4 20:15:17 UTC 2026 % 0.10/0.37 % CPUTime : % 0.18/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.79 % SZS status Unsatisfiable % 0.28/0.79 % SZS output start Proof % 0.28/0.82 ( % 0.28/0.82 (declare-sort $$unsorted 0) % 0.28/0.82 (declare-const tptp.v_i $$unsorted) % 0.28/0.82 (declare-const tptp.v_rs $$unsorted) % 0.28/0.82 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.t_b $$unsorted) % 0.28/0.82 (declare-const tptp.c_List_Olist_Olist__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xremove1__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xremove1__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistset__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Ofiltermap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistset__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xcases__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.28/0.82 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xzip__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__filter__iff__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xconcat__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xmap__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.tc_nat $$unsorted) % 0.28/0.82 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Onull (-> $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xzip__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlist__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlist__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.28/0.82 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.28/0.82 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xmap__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.28/0.82 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.28/0.82 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xlistsp__Xcases__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.tc_bool $$unsorted) % 0.28/0.82 (declare-const tptp.v_sko__List__Xconcat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.t_a $$unsorted) % 0.28/0.82 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xtake__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.82 (declare-const tptp.v_sko__List__Xtake__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.28/0.82 (define @t1 () (@var "V_xs" $$unsorted)) % 0.28/0.82 (define @t2 () (@var "T_a" $$unsorted)) % 0.28/0.82 (define @t3 () (tptp.c_List_Oremdups @t1 @t2)) % 0.28/0.82 (define @t4 () (= @t3 @t1)) % 0.28/0.82 (define @t5 () (tptp.tc_List_Olist @t2)) % 0.28/0.82 (define @t6 () (tptp.c_Nat_Osize__class_Osize @t1 @t5)) % 0.28/0.82 (define @t7 () (= (tptp.c_Nat_Osize__class_Osize @t3 @t5) @t6)) % 0.28/0.82 (define @t8 () (@list @t1 @t2)) % 0.28/0.82 (define @t9 () (@var "V_m" $$unsorted)) % 0.28/0.82 (define @t10 () (tptp.c_Suc @t9)) % 0.28/0.82 (define @t11 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.28/0.82 (define @t12 () (@list @t9)) % 0.28/0.82 (define @t13 () (@var "V_nat_H" $$unsorted)) % 0.28/0.82 (define @t14 () (tptp.c_Suc @t13)) % 0.28/0.82 (define @t15 () (@list @t13)) % 0.28/0.82 (define @t16 () (@var "V_y" $$unsorted)) % 0.28/0.82 (define @t17 () (@var "V_x" $$unsorted)) % 0.28/0.82 (define @t18 () (@var "V_r" $$unsorted)) % 0.28/0.82 (define @t19 () (tptp.c_Transitive__Closure_Ortranclp @t18 @t2)) % 0.28/0.82 (define @t20 () (tptp.hAPP @t19 @t17)) % 0.28/0.82 (define @t21 () (tptp.hBOOL (tptp.hAPP @t20 @t16))) % 0.28/0.82 (define @t22 () (@var "V_z" $$unsorted)) % 0.28/0.82 (define @t23 () (@var "V_a" $$unsorted)) % 0.28/0.82 (define @t24 () (tptp.hAPP @t19 @t23)) % 0.28/0.82 (define @t25 () (@var "V_n" $$unsorted)) % 0.28/0.82 (define @t26 () (= @t9 @t25)) % 0.28/0.82 (define @t27 () (not (= (tptp.c_List_Oreplicate @t9 @t17 @t2) (tptp.c_List_Oreplicate @t25 @t16 @t2)))) % 0.28/0.82 (define @t28 () (@list @t9 @t17 @t2 @t25 @t16)) % 0.28/0.82 (define @t29 () (@var "V_xa" $$unsorted)) % 0.28/0.82 (define @t30 () (tptp.hAPP @t18 @t16)) % 0.28/0.82 (define @t31 () (tptp.c_List_Olist_OCons @t17 @t1 @t2)) % 0.28/0.82 (define @t32 () (@var "V_ys" $$unsorted)) % 0.28/0.82 (define @t33 () (tptp.c_List_Olist_OCons @t16 @t32 @t2)) % 0.28/0.82 (define @t34 () (not (tptp.c_ListOrder_Ostep1 @t18 @t33 @t31 @t2))) % 0.28/0.82 (define @t35 () (= @t1 @t32)) % 0.28/0.82 (define @t36 () (= @t17 @t16)) % 0.28/0.82 (define @t37 () (tptp.c_Suc @t11)) % 0.28/0.82 (define @t38 () (= @t25 @t11)) % 0.28/0.82 (define @t39 () (@list @t25)) % 0.28/0.82 (define @t40 () (tptp.c_List_Olist_OCons @t17 @t29 @t2)) % 0.28/0.82 (define @t41 () (tptp.c_Nat_Osize__class_Osize @t40 @t5)) % 0.28/0.82 (define @t42 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t29 @t5))) % 0.28/0.82 (define @t43 () (@var "V_us" $$unsorted)) % 0.28/0.82 (define @t44 () (@var "V_vs" $$unsorted)) % 0.28/0.82 (define @t45 () (tptp.c_List_Oappend @t1 @t17 @t2)) % 0.28/0.82 (define @t46 () (tptp.c_ListOrder_Ostep1 @t18 @t32 @t1 @t2)) % 0.28/0.82 (define @t47 () (not @t46)) % 0.28/0.82 (define @t48 () (@list @t17 @t29 @t2)) % 0.28/0.82 (define @t49 () (tptp.c_HOL_Oord__class_Oless @t17 @t16 @t2)) % 0.28/0.82 (define @t50 () (not @t49)) % 0.28/0.82 (define @t51 () (not (tptp.class_Orderings_Opreorder @t2))) % 0.28/0.82 (define @t52 () (tptp.c_HOL_Oord__class_Oless @t16 @t17 @t2)) % 0.28/0.82 (define @t53 () (not @t52)) % 0.28/0.82 (define @t54 () (not (tptp.class_Orderings_Oorder @t2))) % 0.28/0.82 (define @t55 () (tptp.c_List_Oreplicate @t25 @t17 @t2)) % 0.28/0.82 (define @t56 () (tptp.c_Suc @t25)) % 0.28/0.82 (define @t57 () (@list @t25 @t17 @t2)) % 0.28/0.82 (define @t58 () (tptp.c_Suc @t17)) % 0.28/0.82 (define @t59 () (@list @t17)) % 0.28/0.82 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t9 @t25 tptp.tc_nat)) % 0.28/0.82 (define @t61 () (not @t60)) % 0.28/0.82 (define @t62 () (tptp.c_HOL_Oord__class_Oless @t10 @t25 tptp.tc_nat)) % 0.28/0.82 (define @t63 () (@list @t9 @t25)) % 0.28/0.82 (define @t64 () (tptp.c_List_Olist_ONil @t2)) % 0.28/0.82 (define @t65 () (= @t1 @t64)) % 0.28/0.82 (define @t66 () (tptp.hBOOL (tptp.hAPP @t30 @t17))) % 0.28/0.82 (define @t67 () (tptp.c_List_Orotate @t25 @t1 @t2)) % 0.28/0.82 (define @t68 () (tptp.c_List_Orotate1 @t67 @t2)) % 0.28/0.82 (define @t69 () (@list @t25 @t1 @t2)) % 0.28/0.82 (define @t70 () (tptp.c_List_Oreplicate @t11 @t17 @t2)) % 0.28/0.82 (define @t71 () (@list @t17 @t2)) % 0.28/0.82 (define @t72 () (@var "V_i" $$unsorted)) % 0.28/0.82 (define @t73 () (tptp.c_List_Olist__update @t1 @t72 @t17 @t2)) % 0.28/0.82 (define @t74 () (tptp.c_HOL_Oord__class_Oless @t17 @t58 tptp.tc_nat)) % 0.28/0.82 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t17 @t17 tptp.tc_nat)) % 0.28/0.82 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t25 @t10 tptp.tc_nat)) % 0.28/0.82 (define @t77 () (not @t76)) % 0.28/0.82 (define @t78 () (@list @t25 @t9)) % 0.28/0.82 (define @t79 () (@list @t18 @t2)) % 0.28/0.82 (define @t80 () (tptp.c_Nat_Osize__class_Osize @t64 @t5)) % 0.28/0.82 (define @t81 () (@list @t2)) % 0.28/0.82 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t10 @t56 tptp.tc_nat)) % 0.28/0.82 (define @t83 () (tptp.c_List_Orotate1 @t1 @t2)) % 0.28/0.82 (define @t84 () (@var "T_b" $$unsorted)) % 0.28/0.82 (define @t85 () (tptp.tc_List_Olist @t84)) % 0.28/0.82 (define @t86 () (tptp.c_Nat_Osize__class_Osize @t1 @t85)) % 0.28/0.82 (define @t87 () (@var "V_f" $$unsorted)) % 0.28/0.82 (define @t88 () (tptp.c_List_Omap @t87 @t1 @t84 @t2)) % 0.28/0.82 (define @t89 () (@list @t87 @t1 @t84 @t2)) % 0.28/0.82 (define @t90 () (tptp.hAPP @t87 @t17)) % 0.28/0.82 (define @t91 () (@var "V_nat" $$unsorted)) % 0.28/0.82 (define @t92 () (= @t91 @t13)) % 0.28/0.82 (define @t93 () (@list @t91 @t13)) % 0.28/0.82 (define @t94 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 @t17) @t16)))) % 0.28/0.82 (define @t95 () (@var "V_P" $$unsorted)) % 0.28/0.82 (define @t96 () (tptp.hBOOL (tptp.hAPP @t95 @t17))) % 0.28/0.82 (define @t97 () (not @t96)) % 0.28/0.82 (define @t98 () (tptp.c_List_Ofilter @t95 @t55 @t2)) % 0.28/0.82 (define @t99 () (@list @t95 @t25 @t17 @t2)) % 0.28/0.82 (define @t100 () (tptp.c_Nat_Osize__class_Osize @t32 @t85)) % 0.28/0.82 (define @t101 () (tptp.c_List_Omap @t87 @t32 @t84 @t2)) % 0.28/0.82 (define @t102 () (tptp.c_HOL_Oord__class_Oless @t9 @t56 tptp.tc_nat)) % 0.28/0.82 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t25 @t9 tptp.tc_nat)) % 0.28/0.82 (define @t104 () (tptp.c_List_Oappend @t1 @t32 @t2)) % 0.28/0.82 (define @t105 () (@list @t2 @t17)) % 0.28/0.82 (define @t106 () (not (tptp.c_HOL_Oord__class_Oless @t17 @t17 @t2))) % 0.28/0.82 (define @t107 () (not (tptp.class_Orderings_Olinorder @t2))) % 0.28/0.82 (define @t108 () (@list @t18 @t32 @t1 @t2 @t16 @t17)) % 0.28/0.82 (define @t109 () (@list @t2 @t16 @t17)) % 0.28/0.82 (define @t110 () (@list @t2 @t17 @t16)) % 0.28/0.82 (define @t111 () (@var "V_k" $$unsorted)) % 0.28/0.82 (define @t112 () (tptp.c_List_Oreplicate @t111 @t17 @t2)) % 0.28/0.82 (define @t113 () (@var "V_b" $$unsorted)) % 0.28/0.82 (define @t114 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Lattices_Olower__semilattice__class_Oinf @t23 @t113 @t2) @t17 @t2)) % 0.28/0.82 (define @t115 () (not (tptp.class_Lattices_Olower__semilattice @t2))) % 0.28/0.82 (define @t116 () (@list @t2 @t23 @t113 @t17)) % 0.28/0.82 (define @t117 () (@var "V_j" $$unsorted)) % 0.28/0.82 (define @t118 () (tptp.c_Suc @t72)) % 0.28/0.82 (define @t119 () (@var "V_t" $$unsorted)) % 0.28/0.82 (define @t120 () (tptp.c_List_Olist_OCons @t17 @t32 @t2)) % 0.28/0.82 (define @t121 () (tptp.c_List_Orev @t1 @t2)) % 0.28/0.82 (define @t122 () (not (tptp.c_HOL_Oord__class_Oless @t113 @t23 @t2))) % 0.28/0.82 (define @t123 () (not (tptp.c_HOL_Oord__class_Oless @t23 @t113 @t2))) % 0.28/0.82 (define @t124 () (@var "V_c" $$unsorted)) % 0.28/0.82 (define @t125 () (tptp.hBOOL (tptp.hAPP @t24 @t124))) % 0.28/0.82 (define @t126 () (@list @t18 @t2 @t23 @t124 @t113)) % 0.28/0.82 (define @t127 () (tptp.c_List_Olast @t1 @t2)) % 0.28/0.82 (define @t128 () (tptp.c_List_Obutlast @t1 @t2)) % 0.28/0.82 (define @t129 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t130 () (@var "V_s" $$unsorted)) % 0.28/0.82 (define @t131 () (tptp.c_List_Olist_OCons @t130 @t129 tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t132 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t18) @t130)) % 0.28/0.82 (define @t133 () (@var "V_u" $$unsorted)) % 0.28/0.82 (define @t134 () (@var "V_ts" $$unsorted)) % 0.28/0.82 (define @t135 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 @t134 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t136 () (tptp.c_List_Oappend @t17 @t131 tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t137 () (tptp.c_Lambda_OdB_OVar @t17)) % 0.28/0.82 (define @t138 () (@list @t17 @t130)) % 0.28/0.82 (define @t139 () (@list @t17 @t1 @t2)) % 0.28/0.82 (define @t140 () (tptp.c_List_Olist_OCons @t17 @t64 @t2)) % 0.28/0.82 (define @t141 () (@var "V_zs" $$unsorted)) % 0.28/0.82 (define @t142 () (= @t141 @t31)) % 0.28/0.82 (define @t143 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t17 @t1 @t32 @t141 @t2)) % 0.28/0.82 (define @t144 () (= (tptp.c_List_Oappend @t143 @t141 @t2) @t1)) % 0.28/0.82 (define @t145 () (tptp.c_List_Oappend @t32 @t141 @t2)) % 0.28/0.82 (define @t146 () (not (= @t145 @t31))) % 0.28/0.82 (define @t147 () (@list @t32 @t141 @t2 @t17 @t1)) % 0.28/0.82 (define @t148 () (= @t31 @t141)) % 0.28/0.82 (define @t149 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t17 @t1 @t32 @t141 @t2)) % 0.28/0.82 (define @t150 () (= (tptp.c_List_Olist_OCons @t17 @t149 @t2) @t32)) % 0.28/0.82 (define @t151 () (not (= @t31 @t145))) % 0.28/0.82 (define @t152 () (@list @t17 @t1 @t2 @t32 @t141)) % 0.28/0.82 (define @t153 () (= @t32 (tptp.c_List_Olist_OCons @t17 @t143 @t2))) % 0.28/0.82 (define @t154 () (= @t1 (tptp.c_List_Oappend @t149 @t141 @t2))) % 0.28/0.82 (define @t155 () (tptp.c_List_Oappend @t1 @t64 @t2)) % 0.28/0.82 (define @t156 () (= @t32 @t64)) % 0.28/0.82 (define @t157 () (@list @t1 @t32 @t2)) % 0.28/0.82 (define @t158 () (@var "V_s_H" $$unsorted)) % 0.28/0.82 (define @t159 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t160 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t130) @t158)))) % 0.28/0.82 (define @t161 () (@var "V_t_H" $$unsorted)) % 0.28/0.82 (define @t162 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t119) @t161)))) % 0.28/0.82 (define @t163 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t158)) % 0.28/0.82 (define @t164 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t130)) % 0.28/0.82 (define @t165 () (tptp.hAPP @t164 @t119)) % 0.28/0.82 (define @t166 () (tptp.hAPP @t159 @t165)) % 0.28/0.82 (define @t167 () (tptp.c_Lambda_OdB_OAbs @t130)) % 0.28/0.82 (define @t168 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t18) @t130)))) % 0.28/0.82 (define @t169 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 (tptp.c_Lambda_Osubst @t119 @t18 @t72)) (tptp.c_Lambda_Osubst @t119 @t130 @t72)))) % 0.28/0.82 (define @t170 () (@list @t119 @t18 @t72 @t130)) % 0.28/0.82 (define @t171 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t18) @t130)))) % 0.28/0.82 (define @t172 () (tptp.c_Lambda_Osubst @t130 @t119 @t72)) % 0.28/0.82 (define @t173 () (tptp.c_Lambda_Osubst @t18 @t119 @t72)) % 0.28/0.82 (define @t174 () (@list @t18 @t119 @t72 @t130)) % 0.28/0.82 (define @t175 () (@var "V_v" $$unsorted)) % 0.28/0.82 (define @t176 () (@var "V_rs" $$unsorted)) % 0.28/0.82 (define @t177 () (tptp.c_Lambda_OdB_OVar @t25)) % 0.28/0.82 (define @t178 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t177 @t176 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t179 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t178) @t175)))) % 0.28/0.82 (define @t180 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t25 @t176 @t175)) % 0.28/0.82 (define @t181 () (tptp.c_List_Olist_OCons @t16 @t1 @t2)) % 0.28/0.82 (define @t182 () (tptp.c_List_Olist__update @t1 @t72 @t16 @t2)) % 0.28/0.82 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t111 @t72 tptp.tc_nat)) % 0.28/0.82 (define @t184 () (= @t72 @t111)) % 0.28/0.82 (define @t185 () (tptp.c_Lambda_OdB_OVar @t72)) % 0.28/0.82 (define @t186 () (@list @t72 @t130 @t111)) % 0.28/0.82 (define @t187 () (tptp.c_Lambda_OdB_OVar @t117)) % 0.28/0.82 (define @t188 () (@var "V_T" $$unsorted)) % 0.28/0.82 (define @t189 () (@var "V_e" $$unsorted)) % 0.28/0.82 (define @t190 () (not (tptp.c_Type_Otyping @t189 @t119 @t188))) % 0.28/0.82 (define @t191 () (tptp.c_Type_Otyping @t189 @t161 @t188)) % 0.28/0.82 (define @t192 () (@list @t189 @t161 @t188 @t119)) % 0.28/0.82 (define @t193 () (tptp.c_Lambda_Olift @t130 @t72)) % 0.28/0.82 (define @t194 () (tptp.c_Lambda_Olift @t18 @t72)) % 0.28/0.82 (define @t195 () (@list @t18 @t72 @t130)) % 0.28/0.82 (define @t196 () (tptp.c_Map_Omap__upds @t9 @t1 @t32 @t2 @t84)) % 0.28/0.82 (define @t197 () (tptp.c_List_Oappend @t1 @t141 @t2)) % 0.28/0.82 (define @t198 () (not (= @t6 @t100))) % 0.28/0.82 (define @t199 () (@list @t1 @t2 @t32 @t84 @t9 @t141)) % 0.28/0.82 (define @t200 () (not (tptp.c_HOL_Oord__class_Oless @t72 @t111 tptp.tc_nat))) % 0.28/0.82 (define @t201 () (tptp.tc_fun @t2 tptp.tc_bool)) % 0.28/0.82 (define @t202 () (@var "V_B" $$unsorted)) % 0.28/0.82 (define @t203 () (@var "V_A" $$unsorted)) % 0.28/0.82 (define @t204 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 @t202 @t201)) % 0.28/0.82 (define @t205 () (tptp.hBOOL (tptp.hAPP @t204 @t17))) % 0.28/0.82 (define @t206 () (not @t205)) % 0.28/0.82 (define @t207 () (tptp.hBOOL (tptp.hAPP @t203 @t17))) % 0.28/0.82 (define @t208 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t130) @t119)))) % 0.28/0.82 (define @t209 () (@list @t130 @t119)) % 0.28/0.82 (define @t210 () (tptp.c_List_Orev @t32 @t2)) % 0.28/0.82 (define @t211 () (tptp.c_List_Ofoldl @t87 @t23 @t1 @t2 @t84)) % 0.28/0.82 (define @t212 () (tptp.c_List_Oappend @t1 @t32 @t84)) % 0.28/0.82 (define @t213 () (tptp.c_List_Ofilter @t95 @t32 @t2)) % 0.28/0.82 (define @t214 () (tptp.c_List_Ofilter @t95 @t1 @t2)) % 0.28/0.82 (define @t215 () (tptp.c_List_Oappend @t64 @t64 @t2)) % 0.28/0.82 (define @t216 () (tptp.c_List_Olist_ONil @t84)) % 0.28/0.82 (define @t217 () (= @t1 @t216)) % 0.28/0.82 (define @t218 () (tptp.c_List_Orev @t64 @t2)) % 0.28/0.82 (define @t219 () (tptp.c_List_Oremdups @t64 @t2)) % 0.28/0.82 (define @t220 () (= @t17 @t64)) % 0.28/0.82 (define @t221 () (tptp.c_List_Oremdups @t17 @t2)) % 0.28/0.82 (define @t222 () (@var "V_list_H" $$unsorted)) % 0.28/0.82 (define @t223 () (@var "V_a_H" $$unsorted)) % 0.28/0.82 (define @t224 () (tptp.c_List_Olist_OCons @t223 @t222 @t2)) % 0.28/0.82 (define @t225 () (not (= @t104 @t64))) % 0.28/0.82 (define @t226 () (not (= @t64 @t104))) % 0.28/0.82 (define @t227 () (@list @t2 @t1 @t32)) % 0.28/0.82 (define @t228 () (tptp.c_List_Oappend @t64 @t32 @t2)) % 0.28/0.82 (define @t229 () (@list @t32 @t2)) % 0.28/0.82 (define @t230 () (@var "V_ss" $$unsorted)) % 0.28/0.82 (define @t231 () (tptp.c_Lambda_OdB_OAbs @t18)) % 0.28/0.82 (define @t232 () (@list @t18 @t130 @t230)) % 0.28/0.82 (define @t233 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t167) @t119)) % 0.28/0.82 (define @t234 () (tptp.c_List_Olist_ONil tptp.t_a)) % 0.28/0.82 (define @t235 () (not (tptp.hBOOL (tptp.hAPP @t95 @t234)))) % 0.28/0.82 (define @t236 () (tptp.v_sko__List__Xconcat__Xinduct__2 @t95)) % 0.28/0.82 (define @t237 () (@var "V_list" $$unsorted)) % 0.28/0.82 (define @t238 () (tptp.hBOOL (tptp.hAPP @t95 @t237))) % 0.28/0.82 (define @t239 () (@list @t95 @t237)) % 0.28/0.82 (define @t240 () (tptp.v_sko__List__Xtake__Xinduct__2 @t95)) % 0.28/0.82 (define @t241 () (tptp.v_sko__List__Xmap__Xinduct__2 @t95)) % 0.28/0.82 (define @t242 () (tptp.v_sko__List__Xlist__Xinduct__2 @t95)) % 0.28/0.82 (define @t243 () (tptp.v_sko__List__XdropWhile__Xinduct__2 @t95)) % 0.28/0.82 (define @t244 () (tptp.v_sko__List__Xzip__Xinduct__2 @t95)) % 0.28/0.82 (define @t245 () (tptp.v_sko__List__Xlistset__Xinduct__2 @t95)) % 0.28/0.82 (define @t246 () (tptp.v_sko__List__Xremove1__Xinduct__2 @t95)) % 0.28/0.82 (define @t247 () (tptp.v_sko__List__Xdistinct__Xinduct__2 @t95)) % 0.28/0.82 (define @t248 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t130 @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t249 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t18 @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t250 () (@list @t18 @t230 @t130)) % 0.28/0.82 (define @t251 () (@var "V_xb" $$unsorted)) % 0.28/0.82 (define @t252 () (tptp.c_List_Ofilter @t95 (tptp.c_List_Oappend @t29 (tptp.c_List_Olist_OCons @t17 @t251 @t2) @t2) @t2)) % 0.28/0.82 (define @t253 () (tptp.c_List_Olist_OCons @t17 (tptp.c_List_Ofilter @t95 @t251 @t2) @t2)) % 0.28/0.82 (define @t254 () (@list @t95 @t17 @t29 @t2 @t251)) % 0.28/0.82 (define @t255 () (tptp.c_List_Oappend @t1 @t140 @t2)) % 0.28/0.82 (define @t256 () (@list @t1 @t17 @t2)) % 0.28/0.82 (define @t257 () (tptp.c_List_Olist_OCons @t16 @t64 @t2)) % 0.28/0.82 (define @t258 () (tptp.c_List_Oappend @t32 @t257 @t2)) % 0.28/0.82 (define @t259 () (not (tptp.c_ListOrder_Ostep1 @t18 @t258 @t255 @t2))) % 0.28/0.82 (define @t260 () (= @t16 @t17)) % 0.28/0.82 (define @t261 () (= @t32 @t1)) % 0.28/0.82 (define @t262 () (tptp.c_List_Olist_OCons @t17 @t1 @t84)) % 0.28/0.82 (define @t263 () (tptp.c_List_Oreplicate @t72 @t17 @t2)) % 0.28/0.82 (define @t264 () (= @t134 @t129)) % 0.28/0.82 (define @t265 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t18 @t130 @t119 @t134)) % 0.28/0.82 (define @t266 () (not (= @t132 @t135))) % 0.28/0.82 (define @t267 () (@list @t18 @t130 @t119 @t134)) % 0.28/0.82 (define @t268 () (tptp.c_Lambda_Oliftn @t25 @t119 @t111)) % 0.28/0.82 (define @t269 () (tptp.hBOOL (tptp.hAPP @t202 @t17))) % 0.28/0.82 (define @t270 () (tptp.c_List_Orev @t1 @t84)) % 0.28/0.82 (define @t271 () (tptp.c_List_Orev @t140 @t2)) % 0.28/0.82 (define @t272 () (tptp.c_List_Oappend @t64 @t31 @t2)) % 0.28/0.82 (define @t273 () (not (tptp.c_List_Olistsp @t203 @t17 tptp.t_a))) % 0.28/0.82 (define @t274 () (tptp.v_sko__List__Xlistsp__Xinducts__2 @t203 @t95)) % 0.28/0.82 (define @t275 () (tptp.v_sko__List__Xlistsp__Xinducts__1 @t203 @t95)) % 0.28/0.82 (define @t276 () (@list @t95 @t17 @t203)) % 0.28/0.82 (define @t277 () (tptp.c_Lambda_Olift @t119 @t111)) % 0.28/0.82 (define @t278 () (tptp.v_sko__List__Xlistsp__Xinduct__2 @t203 @t95)) % 0.28/0.82 (define @t279 () (tptp.v_sko__List__Xlistsp__Xinduct__1 @t203 @t95)) % 0.28/0.82 (define @t280 () (tptp.c_List_Oappend @t210 @t257 @t2)) % 0.28/0.82 (define @t281 () (tptp.c_List_Olinorder__class_Osorted @t1 @t2)) % 0.28/0.82 (define @t282 () (@var "V_xs1" $$unsorted)) % 0.28/0.82 (define @t283 () (tptp.c_List_Oappend @t40 @t141 @t2)) % 0.28/0.82 (define @t284 () (tptp.c_List_Olist_OCons @t17 (tptp.c_List_Oappend @t29 @t141 @t2) @t2)) % 0.28/0.82 (define @t285 () (@var "V_f2" $$unsorted)) % 0.28/0.82 (define @t286 () (tptp.hAPP (tptp.hAPP @t285 @t23) @t237)) % 0.28/0.82 (define @t287 () (tptp.c_List_Olist_OCons @t23 @t237 @t84)) % 0.28/0.82 (define @t288 () (@var "V_f1" $$unsorted)) % 0.28/0.82 (define @t289 () (@list @t288 @t285 @t23 @t237 @t84 @t2)) % 0.28/0.82 (define @t290 () (not (= @t231 @t248))) % 0.28/0.82 (define @t291 () (tptp.c_List_Olist_OCons @t16 @t141 @t2)) % 0.28/0.82 (define @t292 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t16 @t2)) % 0.28/0.82 (define @t293 () (= @t292 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t17 @t2))) % 0.28/0.82 (define @t294 () (not (tptp.class_Lattices_Olattice @t2))) % 0.28/0.82 (define @t295 () (@list @t203 @t202 @t2)) % 0.28/0.82 (define @t296 () (@list @t95 @t1 @t2)) % 0.28/0.82 (define @t297 () (tptp.c_List_Ofilter @t95 @t31 @t2)) % 0.28/0.82 (define @t298 () (@list @t95 @t17 @t1 @t2)) % 0.28/0.82 (define @t299 () (= @t1 @t140)) % 0.28/0.82 (define @t300 () (@var "V_dB" $$unsorted)) % 0.28/0.82 (define @t301 () (@var "V_f3" $$unsorted)) % 0.28/0.82 (define @t302 () (tptp.hAPP @t301 @t300)) % 0.28/0.82 (define @t303 () (tptp.c_Lambda_OdB_OAbs @t300)) % 0.28/0.82 (define @t304 () (@list @t288 @t285 @t301 @t300 @t2)) % 0.28/0.82 (define @t305 () (= @t32 @t141)) % 0.28/0.82 (define @t306 () (@list @t1 @t32 @t2 @t141)) % 0.28/0.82 (define @t307 () (tptp.c_List_Orev @t121 @t2)) % 0.28/0.82 (define @t308 () (tptp.c_List_Olist__ex @t95 @t31 @t2)) % 0.28/0.82 (define @t309 () (tptp.c_List_Olist__ex @t95 @t1 @t2)) % 0.28/0.82 (define @t310 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 @t22 @t2) @t2)) % 0.28/0.82 (define @t311 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t292 @t22 @t2) @t310)) % 0.28/0.82 (define @t312 () (@list @t2 @t17 @t16 @t22)) % 0.28/0.82 (define @t313 () (= @t310 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t16 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t22 @t2) @t2))) % 0.28/0.82 (define @t314 () (@var "V_C" $$unsorted)) % 0.28/0.82 (define @t315 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t202 @t314 @t201) @t201)) % 0.28/0.82 (define @t316 () (@var "V_dB_H" $$unsorted)) % 0.28/0.82 (define @t317 () (tptp.c_Lambda_OdB_OAbs @t316)) % 0.28/0.82 (define @t318 () (not (tptp.c_List_Olistsp @t203 @t23 tptp.t_a))) % 0.28/0.82 (define @t319 () (= @t23 @t234)) % 0.28/0.82 (define @t320 () (tptp.v_sko__List__Xlistsp__Xcases__2 @t203 @t23)) % 0.28/0.82 (define @t321 () (tptp.v_sko__List__Xlistsp__Xcases__1 @t203 @t23)) % 0.28/0.82 (define @t322 () (= @t176 @t230)) % 0.28/0.82 (define @t323 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t231 @t176 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t167 @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.82 (define @t324 () (@list @t18 @t176 @t130 @t230)) % 0.28/0.82 (define @t325 () (= @t18 @t130)) % 0.28/0.82 (define @t326 () (not (= @t248 @t231))) % 0.28/0.82 (define @t327 () (@list @t130 @t230 @t18)) % 0.28/0.82 (define @t328 () (tptp.c_List_Ofoldr @t87 @t1 @t23 @t84 @t2)) % 0.28/0.82 (define @t329 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t292 @t2) @t292)) % 0.28/0.82 (define @t330 () (@list @t203 @t2)) % 0.28/0.82 (define @t331 () (not (= (tptp.c_List_Olist_OCons @t23 @t237 @t2) @t224))) % 0.28/0.82 (define @t332 () (@list @t23 @t237 @t2 @t223 @t222)) % 0.28/0.82 (define @t333 () (not (tptp.c_List_Olinorder__class_Osorted @t104 @t2))) % 0.28/0.82 (define @t334 () (@var "V_i_H" $$unsorted)) % 0.28/0.82 (define @t335 () (@var "V_x_H" $$unsorted)) % 0.28/0.82 (define @t336 () (@var "V_l" $$unsorted)) % 0.28/0.82 (define @t337 () (not (= @t255 @t258))) % 0.28/0.82 (define @t338 () (@list @t1 @t17 @t2 @t32 @t16)) % 0.28/0.82 (define @t339 () (@list @t95 @t2)) % 0.28/0.82 (define @t340 () (tptp.c_List_Omap @t87 @t216 @t84 @t2)) % 0.28/0.82 (define @t341 () (@list @t87 @t84 @t2)) % 0.28/0.82 (define @t342 () (@list @t288 @t285 @t84 @t2)) % 0.28/0.82 (define @t343 () (@var "V_as" $$unsorted)) % 0.28/0.82 (define @t344 () (@var "V_bs" $$unsorted)) % 0.28/0.82 (define @t345 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t119) @t133)) % 0.28/0.82 (define @t346 () (@list @t119 @t133 @t130 @t111)) % 0.28/0.82 (define @t347 () (@var "V_dB2" $$unsorted)) % 0.28/0.82 (define @t348 () (@var "V_dB1" $$unsorted)) % 0.28/0.82 (define @t349 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t348) @t347)) % 0.28/0.82 (define @t350 () (@var "V_xc" $$unsorted)) % 0.28/0.82 (define @t351 () (tptp.hAPP (tptp.hAPP @t285 @t348) @t347)) % 0.28/0.82 (define @t352 () (@list @t288 @t285 @t301 @t348 @t347 @t2)) % 0.28/0.82 (define @t353 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t133)) % 0.28/0.82 (define @t354 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t185 @t134 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t355 () (@var "V_U" $$unsorted)) % 0.28/0.82 (define @t356 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t177 @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t357 () (tptp.c_Lambda_OdB_OVar @t91)) % 0.28/0.82 (define @t358 () (@var "V_xd" $$unsorted)) % 0.28/0.82 (define @t359 () (tptp.hAPP @t288 @t91)) % 0.28/0.82 (define @t360 () (@list @t288 @t285 @t301 @t91 @t2)) % 0.28/0.82 (define @t361 () (@var "V_env" $$unsorted)) % 0.28/0.82 (define @t362 () (= @t230 @t129)) % 0.28/0.82 (define @t363 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t231 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t364 () (@list @t18)) % 0.28/0.82 (define @t365 () (tptp.c_List_Olistsp @t203 @t1 @t2)) % 0.28/0.82 (define @t366 () (tptp.c_List_Olistsp @t203 @t32 @t2)) % 0.28/0.82 (define @t367 () (tptp.c_List_Olistsp @t203 @t104 @t2)) % 0.28/0.82 (define @t368 () (not @t367)) % 0.28/0.82 (define @t369 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t18)))) % 0.28/0.82 (define @t370 () (tptp.c_Lambda_OdB_OVar @t9)) % 0.28/0.82 (define @t371 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t370 @t176 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t356))) % 0.28/0.82 (define @t372 () (@list @t9 @t176 @t25 @t230)) % 0.28/0.82 (define @t373 () (not (= @t370 @t248))) % 0.28/0.82 (define @t374 () (@list @t9 @t130 @t230)) % 0.28/0.82 (define @t375 () (@list @t203 @t23)) % 0.28/0.82 (define @t376 () (@var "V_dB1_H" $$unsorted)) % 0.28/0.82 (define @t377 () (@var "V_dB2_H" $$unsorted)) % 0.28/0.82 (define @t378 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t376) @t377)) % 0.28/0.82 (define @t379 () (not (= @t349 @t378))) % 0.28/0.82 (define @t380 () (@list @t348 @t347 @t376 @t377)) % 0.28/0.82 (define @t381 () (forall @t330 (tptp.c_List_Olistsp @t203 @t64 @t2))) % 0.28/0.82 (define @t382 () (@var "V_R" $$unsorted)) % 0.28/0.82 (define @t383 () (@var "V_Q" $$unsorted)) % 0.28/0.82 (define @t384 () (@var "T_c" $$unsorted)) % 0.28/0.82 (define @t385 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t129 tptp.tc_Lambda_OdB)) % 0.28/0.82 (define @t386 () (@var "T_1" $$unsorted)) % 0.28/0.82 (define @t387 () (not (tptp.class_Lattices_Olattice @t386))) % 0.28/0.82 (define @t388 () (@var "T_2" $$unsorted)) % 0.28/0.82 (define @t389 () (tptp.tc_fun @t388 @t386)) % 0.28/0.82 (define @t390 () (@list @t388 @t386)) % 0.28/0.82 (define @t391 () (@var "V_Y" $$unsorted)) % 0.28/0.82 (define @t392 () (@var "V_X" $$unsorted)) % 0.28/0.82 (assume @p1 (forall @t8 (or (not @t7) @t4))) % 0.28/0.82 (assume @p2 (forall @t12 (not (= @t11 @t10)))) % 0.28/0.82 (assume @p3 (forall @t15 (not (= @t11 @t14)))) % 0.28/0.82 (assume @p4 (forall (@list @t18 @t2 @t17 @t22 @t16) (or (tptp.hBOOL (tptp.hAPP @t20 @t22)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t19 @t16) @t22))) (not @t21)))) % 0.28/0.82 (assume @p5 (forall (@list @t18 @t2 @t17) (tptp.hBOOL (tptp.hAPP @t20 @t17)))) % 0.28/0.82 (assume @p6 (forall (@list @t18 @t2 @t23) (tptp.hBOOL (tptp.hAPP @t24 @t23)))) % 0.28/0.82 (assume @p7 (forall @t28 (or @t27 @t26))) % 0.28/0.82 (assume @p8 (forall (@list @t18 @t16 @t29 @t17 @t2) (or (not (tptp.hBOOL (tptp.hAPP @t30 @t29))) (tptp.c_ListOrder_Ostep1 @t18 (tptp.c_List_Olist_OCons @t16 @t17 @t2) (tptp.c_List_Olist_OCons @t29 @t17 @t2) @t2)))) % 0.28/0.82 (assume @p9 (forall (@list @t17 @t16 @t1 @t32 @t18 @t2) (or @t36 @t35 @t34))) % 0.28/0.82 (assume @p10 (forall @t39 (or @t38 (not (tptp.c_HOL_Oord__class_Oless @t25 @t37 tptp.tc_nat))))) % 0.28/0.82 (assume @p11 (forall (@list @t29 @t2 @t17) (= @t42 @t41))) % 0.28/0.82 (assume @p12 (forall (@list @t18 @t17 @t44 @t2 @t43) (or (tptp.c_ListOrder_Ostep1 @t18 (tptp.c_List_Oappend @t17 @t44 @t2) (tptp.c_List_Oappend @t17 @t43 @t2) @t2) (not (tptp.c_ListOrder_Ostep1 @t18 @t44 @t43 @t2))))) % 0.28/0.82 (assume @p13 (forall (@list @t18 @t32 @t1 @t2 @t17) (or @t47 (tptp.c_ListOrder_Ostep1 @t18 (tptp.c_List_Oappend @t32 @t17 @t2) @t45 @t2)))) % 0.28/0.82 (assume @p14 (forall @t48 (= @t41 @t42))) % 0.28/0.82 (assume @p15 (forall (@list @t2 @t17 @t22 @t16) (or @t51 (tptp.c_HOL_Oord__class_Oless @t17 @t22 @t2) (not (tptp.c_HOL_Oord__class_Oless @t16 @t22 @t2)) @t50))) % 0.28/0.82 (assume @p16 (forall (@list @t2 @t22 @t17 @t16) (or @t54 (tptp.c_HOL_Oord__class_Oless @t22 @t17 @t2) (not (tptp.c_HOL_Oord__class_Oless @t22 @t16 @t2)) @t53))) % 0.28/0.82 (assume @p17 (forall @t12 (not (tptp.c_HOL_Oord__class_Oless @t9 @t11 tptp.tc_nat)))) % 0.28/0.82 (assume @p18 (forall @t39 (not (tptp.c_HOL_Oord__class_Oless @t25 @t11 tptp.tc_nat)))) % 0.28/0.82 (assume @p19 (forall @t57 (= (tptp.c_List_Oreplicate @t56 @t17 @t2) (tptp.c_List_Olist_OCons @t17 @t55 @t2)))) % 0.28/0.82 (assume @p20 (forall @t39 (tptp.c_HOL_Oord__class_Oless @t11 @t56 tptp.tc_nat))) % 0.28/0.82 (assume @p21 (forall @t59 (tptp.c_HOL_Oord__class_Oless @t11 @t58 tptp.tc_nat))) % 0.28/0.82 (assume @p22 (forall @t63 (or @t62 (= @t10 @t25) @t61))) % 0.28/0.82 (assume @p23 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t11 @t6 tptp.tc_nat) @t65))) % 0.28/0.82 (assume @p24 (forall (@list @t17 @t16 @t18 @t32 @t2 @t1) (or @t36 @t66 @t34))) % 0.28/0.82 (assume @p25 (forall @t69 (= (tptp.c_List_Orotate @t56 @t1 @t2) @t68))) % 0.28/0.82 (assume @p26 (forall @t57 (or (= (tptp.c_List_Olast @t55 @t2) @t17) @t38))) % 0.28/0.82 (assume @p27 (forall (@list @t17 @t2 @t16) (= @t70 (tptp.c_List_Oreplicate @t11 @t16 @t2)))) % 0.28/0.82 (assume @p28 (forall @t71 (= @t70 @t64))) % 0.28/0.82 (assume @p29 (forall (@list @t1 @t72 @t17 @t2) (= (tptp.c_Nat_Osize__class_Osize @t73 @t5) @t6))) % 0.28/0.82 (assume @p30 (forall @t59 (or @t75 @t74))) % 0.28/0.82 (assume @p31 (forall @t63 (or @t61 @t77))) % 0.28/0.82 (assume @p32 (forall @t78 (or @t76 @t60))) % 0.28/0.82 (assume @p33 (forall @t28 (or @t27 @t36 (= @t9 @t11)))) % 0.28/0.82 (assume @p34 (forall @t79 (= (tptp.c_Transitive__Closure_Ortranclp @t19 @t2) @t19))) % 0.28/0.82 (assume @p35 (forall @t81 (not (tptp.c_HOL_Oord__class_Oless @t11 @t80 tptp.tc_nat)))) % 0.28/0.82 (assume @p36 (forall (@list @t17 @t25) (or (tptp.c_HOL_Oord__class_Oless @t58 @t56 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t17 @t25 tptp.tc_nat))))) % 0.28/0.82 (assume @p37 (forall @t63 (or @t60 (not @t82)))) % 0.28/0.82 (assume @p38 (forall @t63 (or @t82 @t61))) % 0.28/0.82 (assume @p39 (forall @t81 (= (tptp.c_List_Obutlast @t64 @t2) @t64))) % 0.28/0.82 (assume @p40 (forall (@list @t18 @t1 @t2) (not (tptp.c_ListOrder_Ostep1 @t18 @t1 @t64 @t2)))) % 0.28/0.82 (assume @p41 (forall (@list @t18 @t2 @t1) (not (tptp.c_ListOrder_Ostep1 @t18 @t64 @t1 @t2)))) % 0.28/0.82 (assume @p42 (forall @t8 (or (not (= @t83 @t64)) @t65))) % 0.28/0.82 (assume @p43 (forall @t81 (= (tptp.c_List_Orotate1 @t64 @t2) @t64))) % 0.28/0.82 (assume @p44 (forall @t8 (or (not @t4) @t7))) % 0.28/0.82 (assume @p45 (forall @t89 (= (tptp.c_Nat_Osize__class_Osize @t88 @t5) @t86))) % 0.28/0.82 (assume @p46 (forall (@list @t87 @t25 @t17 @t84 @t2) (= (tptp.c_List_Omap @t87 (tptp.c_List_Oreplicate @t25 @t17 @t84) @t84 @t2) (tptp.c_List_Oreplicate @t25 @t90 @t2)))) % 0.28/0.82 (assume @p47 (forall @t57 (= (tptp.c_List_Orev @t55 @t2) @t55))) % 0.28/0.82 (assume @p48 (forall (@list @t17 @t16) (or (not (= @t58 (tptp.c_Suc @t16))) @t36))) % 0.28/0.82 (assume @p49 (forall @t93 (or (not (= (tptp.c_Suc @t91) @t14)) @t92))) % 0.28/0.82 (assume @p50 (forall (@list @t18 @t2 @t17 @t16) (or @t21 @t94))) % 0.28/0.82 (assume @p51 (tptp.c_HOL_Oord__class_Oless @t11 @t37 tptp.tc_nat)) % 0.28/0.82 (assume @p52 (forall @t99 (or (= @t98 @t55) @t97))) % 0.28/0.82 (assume @p53 (forall (@list @t87 @t1 @t84 @t2 @t32) (or (not (= @t88 @t101)) (= @t86 @t100)))) % 0.28/0.82 (assume @p54 (forall @t81 (= @t80 @t11))) % 0.28/0.82 (assume @p55 (forall @t63 (or @t26 @t60 (not @t102)))) % 0.28/0.82 (assume @p56 (forall @t63 (or @t26 @t77 @t103))) % 0.28/0.82 (assume @p57 (forall @t78 (or (= @t25 @t9) @t77 @t103))) % 0.28/0.82 (assume @p58 (forall (@list @t1 @t32 @t2 @t25 @t17) (or (= (tptp.c_List_Olist__update @t104 @t25 @t17 @t2) (tptp.c_List_Oappend (tptp.c_List_Olist__update @t1 @t25 @t17 @t2) @t32 @t2)) (not (tptp.c_HOL_Oord__class_Oless @t25 @t6 tptp.tc_nat))))) % 0.28/0.82 (assume @p59 (forall (@list @t1 @t32 @t2 @t72 @t17) (or (= (tptp.c_List_Olist__update @t104 @t72 @t17 @t2) (tptp.c_List_Oappend @t73 @t32 @t2)) (not (tptp.c_HOL_Oord__class_Oless @t72 @t6 tptp.tc_nat))))) % 0.28/0.82 (assume @p60 (forall @t69 (= (tptp.c_Nat_Osize__class_Osize @t67 @t5) @t6))) % 0.28/0.82 (assume @p61 (forall @t105 (= @t64 @t70))) % 0.28/0.82 (assume @p62 (forall @t8 (= (tptp.c_Nat_Osize__class_Osize @t83 @t5) @t6))) % 0.28/0.82 (assume @p63 (forall @t59 (not @t75))) % 0.28/0.82 (assume @p64 (forall @t39 (not (tptp.c_HOL_Oord__class_Oless @t25 @t25 tptp.tc_nat)))) % 0.28/0.82 (assume @p65 (forall @t105 (or @t54 @t106))) % 0.28/0.82 (assume @p66 (forall @t105 (or @t107 @t106))) % 0.28/0.82 (assume @p67 (forall @t105 (or @t51 @t106))) % 0.28/0.83 (assume @p68 (forall @t108 (or @t46 @t35 @t34))) % 0.28/0.83 (assume @p69 (forall @t109 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t2)) @t52 @t49 @t36))) % 0.28/0.83 (assume @p70 (forall @t110 (or @t107 @t36 @t52 @t49))) % 0.28/0.83 (assume @p71 (forall @t78 (or @t103 @t60 @t26))) % 0.28/0.83 (assume @p72 (forall (@list @t95 @t25 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 @t25) @t9)) @t103 @t26 @t60))) % 0.28/0.83 (assume @p73 (forall (@list @t16 @t17) (or (tptp.c_HOL_Oord__class_Oless @t16 @t17 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t17 @t16 tptp.tc_nat) @t36))) % 0.28/0.83 (assume @p74 (forall @t109 (or @t107 @t52 @t49 @t36))) % 0.28/0.83 (assume @p75 (forall (@list @t25 @t17 @t2 @t111) (= (tptp.c_List_Oappend @t55 @t112 @t2) (tptp.c_List_Oappend @t112 @t55 @t2)))) % 0.28/0.83 (assume @p76 (forall @t109 (or @t107 @t52 @t36 @t49))) % 0.28/0.83 (assume @p77 (forall @t110 (or @t107 @t36 @t49 @t52))) % 0.28/0.83 (assume @p78 (forall @t116 (or @t115 @t114 (not (tptp.c_HOL_Oord__class_Oless @t113 @t17 @t2))))) % 0.28/0.83 (assume @p79 (forall @t116 (or @t115 @t114 (not (tptp.c_HOL_Oord__class_Oless @t23 @t17 @t2))))) % 0.28/0.83 (assume @p80 (forall @t15 (not (= @t14 @t11)))) % 0.28/0.83 (assume @p81 (forall @t12 (not (= @t10 @t11)))) % 0.28/0.83 (assume @p82 (forall @t39 (tptp.c_HOL_Oord__class_Oless @t25 @t56 tptp.tc_nat))) % 0.28/0.83 (assume @p83 (forall @t59 @t74)) % 0.28/0.83 (assume @p84 (forall (@list @t72 @t111 @t117) (or (tptp.c_HOL_Oord__class_Oless @t118 @t111 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t117 @t111 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t72 @t117 tptp.tc_nat))))) % 0.28/0.83 (assume @p85 (forall @t57 (or (not (= @t55 @t64)) @t38))) % 0.28/0.83 (assume @p86 (forall @t39 (or (tptp.c_HOL_Oord__class_Oless @t11 @t25 tptp.tc_nat) @t38))) % 0.28/0.83 (assume @p87 (forall (@list @t119 @t111) (= (tptp.c_Lambda_Oliftn @t11 @t119 @t111) @t119))) % 0.28/0.83 (assume @p88 (not (tptp.c_HOL_Oord__class_Oless @t11 @t11 tptp.tc_nat))) % 0.28/0.83 (assume @p89 (forall @t57 (= (tptp.c_Nat_Osize__class_Osize @t55 @t5) @t25))) % 0.28/0.83 (assume @p90 (forall (@list @t2 @t25 @t17) (or (not (= @t64 @t55)) @t38))) % 0.28/0.83 (assume @p91 (forall @t8 (or (not (= @t6 @t11)) @t65))) % 0.28/0.83 (assume @p92 (forall @t39 (not (= @t56 @t25)))) % 0.28/0.83 (assume @p93 (forall @t39 (not (= @t25 @t56)))) % 0.28/0.83 (assume @p94 (forall @t108 (or @t46 @t66 @t34))) % 0.28/0.83 (assume @p95 (forall (@list @t18 @t17 @t32 @t2 @t1) (or (tptp.c_ListOrder_Ostep1 @t18 @t120 @t31 @t2) @t47))) % 0.28/0.83 (assume @p96 (forall @t63 (or @t60 (not @t62)))) % 0.28/0.83 (assume @p97 (forall @t63 (or @t102 @t61))) % 0.28/0.83 (assume @p98 (forall @t8 (= (tptp.c_Nat_Osize__class_Osize @t121 @t5) @t6))) % 0.28/0.83 (assume @p99 (forall @t69 (= @t68 (tptp.c_List_Orotate @t25 @t83 @t2)))) % 0.28/0.83 (assume @p100 (forall (@list @t2 @t23 @t113) (or @t54 @t123 @t122))) % 0.28/0.83 (assume @p101 (forall @t126 (or @t125 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t19 @t113) @t124))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 @t23) @t113)))))) % 0.28/0.83 (assume @p102 (forall @t126 (or @t125 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 @t113) @t124))) (not (tptp.hBOOL (tptp.hAPP @t24 @t113)))))) % 0.28/0.83 (assume @p103 (forall @t110 (or @t107 @t50 @t53))) % 0.28/0.83 (assume @p104 (forall @t109 (or @t51 @t53 @t50))) % 0.28/0.83 (assume @p105 (forall (@list @t2 @t113 @t23) (or @t51 @t122 @t123))) % 0.28/0.83 (assume @p106 (forall @t8 (or (= (tptp.c_List_Oappend @t128 (tptp.c_List_Olist_OCons @t127 @t64 @t2) @t2) @t1) @t65))) % 0.28/0.83 (assume @p107 (forall (@list @t18 @t130 @t29) (or (not (= @t18 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t132 @t29 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t132 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t132 (tptp.c_List_Oappend @t29 @t131 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.83 (assume @p108 (forall (@list @t119 @t134 @t133) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t135) @t133) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 (tptp.c_List_Oappend @t134 (tptp.c_List_Olist_OCons @t133 @t129 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.83 (assume @p109 (forall (@list @t17 @t130 @t119) (or (= @t136 @t129) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 @t17 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t130) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 @t136 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.83 (assume @p110 (forall @t138 (or @t75 (= (tptp.c_Lambda_Osubstn @t137 @t130 @t17) (tptp.c_Lambda_Oliftn @t17 @t130 @t11))))) % 0.28/0.83 (assume @p111 (forall @t139 (or (= (tptp.c_List_Olast @t31 @t2) @t127) @t65))) % 0.28/0.83 (assume @p112 (forall @t71 (= (tptp.c_List_Obutlast @t140 @t2) @t64))) % 0.28/0.83 (assume @p113 (forall @t71 (= (tptp.c_List_Olast @t140 @t2) @t17))) % 0.28/0.83 (assume @p114 (forall @t139 (or (= (tptp.c_List_Obutlast @t31 @t2) (tptp.c_List_Olist_OCons @t17 @t128 @t2)) @t65))) % 0.28/0.83 (assume @p115 (forall @t147 (or @t146 @t144 @t142))) % 0.28/0.83 (assume @p116 (forall @t152 (or @t151 @t150 @t148))) % 0.28/0.83 (assume @p117 (forall @t147 (or @t146 @t153 @t142))) % 0.28/0.83 (assume @p118 (forall @t152 (or @t151 @t154 @t148))) % 0.28/0.83 (assume @p119 (forall (@list @t25 @t17 @t2 @t1) (= (tptp.c_List_Oappend @t55 @t31 @t2) (tptp.c_List_Olist_OCons @t17 (tptp.c_List_Oappend @t55 @t1 @t2) @t2)))) % 0.28/0.83 (assume @p120 (forall @t8 (= (tptp.c_List_Obutlast @t155 @t2) @t128))) % 0.28/0.83 (assume @p121 (forall @t157 (or (= (tptp.c_List_Olast @t104 @t2) (tptp.c_List_Olast @t32 @t2)) @t156))) % 0.28/0.83 (assume @p122 (forall @t8 (= (tptp.c_List_Olast @t155 @t2) @t127))) % 0.28/0.83 (assume @p123 (forall @t157 (or (= (tptp.c_List_Obutlast @t104 @t2) (tptp.c_List_Oappend @t1 (tptp.c_List_Obutlast @t32 @t2) @t2)) @t156))) % 0.28/0.83 (assume @p124 (forall (@list @t130 @t119 @t158 @t161) (or (tptp.hBOOL (tptp.hAPP @t166 (tptp.hAPP @t163 @t161))) @t162 @t160))) % 0.28/0.83 (assume @p125 (forall (@list @t130 @t119 @t158) (or (tptp.hBOOL (tptp.hAPP @t166 (tptp.hAPP @t163 @t119))) @t160))) % 0.28/0.83 (assume @p126 (forall (@list @t130 @t119 @t161) (or (tptp.hBOOL (tptp.hAPP @t166 (tptp.hAPP @t164 @t161))) @t162))) % 0.28/0.83 (assume @p127 (forall (@list @t130 @t158) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t167) (tptp.c_Lambda_OdB_OAbs @t158))) @t160))) % 0.28/0.83 (assume @p128 (forall @t99 (or (= @t98 @t64) @t96))) % 0.28/0.83 (assume @p129 (forall @t170 (or @t169 @t168))) % 0.28/0.83 (assume @p130 (forall @t174 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t173) @t172)) @t171))) % 0.28/0.83 (assume @p131 (forall @t170 (or @t169 @t171))) % 0.28/0.83 (assume @p132 (forall (@list @t176 @t25 @t175) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t176 @t180 tptp.tc_Lambda_OdB) @t179))) % 0.28/0.83 (assume @p133 (forall (@list @t17 @t1 @t2 @t16) (= (tptp.c_List_Olist__update @t31 @t11 @t16 @t2) @t181))) % 0.28/0.83 (assume @p134 (forall (@list @t17 @t1 @t2 @t72 @t16) (= (tptp.c_List_Olist__update @t31 @t118 @t16 @t2) (tptp.c_List_Olist_OCons @t17 @t182 @t2)))) % 0.28/0.83 (assume @p135 (forall @t138 (or @t75 (= (tptp.c_Lambda_Osubst @t137 @t130 @t17) @t130)))) % 0.28/0.83 (assume @p136 (forall @t186 (or (= (tptp.c_Lambda_Osubst @t185 @t130 @t111) @t185) @t184 @t183))) % 0.28/0.83 (assume @p137 (forall (@list @t117 @t133 @t72) (or (= (tptp.c_Lambda_Osubst @t187 @t133 @t72) @t187) (not (tptp.c_HOL_Oord__class_Oless @t117 @t72 tptp.tc_nat))))) % 0.28/0.83 (assume @p138 (forall @t192 (or @t191 @t190 @t162))) % 0.28/0.83 (assume @p139 (forall @t195 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t194) @t193)) @t171))) % 0.28/0.83 (assume @p140 (forall @t199 (or @t198 (= (tptp.c_Map_Omap__upds @t9 @t197 @t32 @t2 @t84) @t196)))) % 0.28/0.83 (assume @p141 (forall @t199 (or @t198 (= (tptp.c_Map_Omap__upds @t9 @t1 (tptp.c_List_Oappend @t32 @t141 @t84) @t2 @t84) @t196)))) % 0.28/0.83 (assume @p142 (forall (@list @t72 @t111) (or (= (tptp.c_Lambda_Olift @t185 @t111) @t185) @t200))) % 0.28/0.83 (assume @p143 (forall (@list @t25 @t72 @t111) (or (= (tptp.c_Lambda_Oliftn @t25 @t185 @t111) @t185) @t200))) % 0.28/0.83 (assume @p144 (forall (@list @t203 @t17 @t202 @t2) (or @t207 @t206))) % 0.28/0.83 (assume @p145 (forall @t105 (or @t107 (tptp.c_List_Olinorder__class_Osorted @t140 @t2)))) % 0.28/0.83 (assume @p146 (forall @t209 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t167) (tptp.c_Lambda_OdB_OAbs @t119))) @t208))) % 0.28/0.83 (assume @p147 (forall @t157 (= (tptp.c_List_Orev @t104 @t2) (tptp.c_List_Oappend @t210 @t121 @t2)))) % 0.28/0.83 (assume @p148 (forall (@list @t87 @t23 @t1 @t32 @t84 @t2) (= (tptp.c_List_Ofoldl @t87 @t23 @t212 @t2 @t84) (tptp.c_List_Ofoldl @t87 @t211 @t32 @t2 @t84)))) % 0.28/0.83 (assume @p149 (forall (@list @t95 @t1 @t32 @t2) (= (tptp.c_List_Ofilter @t95 @t104 @t2) (tptp.c_List_Oappend @t214 @t213 @t2)))) % 0.28/0.83 (assume @p150 (forall @t81 (= @t215 @t64))) % 0.28/0.83 (assume @p151 (forall @t89 (or (not (= @t88 @t64)) @t217))) % 0.28/0.83 (assume @p152 (forall @t8 (or @t65 (not (tptp.c_List_Onull @t1 @t2))))) % 0.28/0.83 (assume @p153 (forall @t81 (= @t64 @t218))) % 0.28/0.83 (assume @p154 (forall @t81 (= @t64 @t219))) % 0.28/0.83 (assume @p155 (forall (@list @t32 @t1 @t2) (or (not (= @t32 @t104)) @t65))) % 0.28/0.83 (assume @p156 (forall @t157 (or (not (= @t104 @t32)) @t65))) % 0.28/0.83 (assume @p157 (forall @t157 (or (not (= @t1 @t104)) @t156))) % 0.28/0.83 (assume @p158 (forall @t157 (or (not (= @t104 @t1)) @t156))) % 0.28/0.83 (assume @p159 (forall @t71 (or (not (= @t221 @t64)) @t220))) % 0.28/0.83 (assume @p160 (forall @t69 (or (not (= @t67 @t64)) @t65))) % 0.28/0.83 (assume @p161 (forall (@list @t2 @t1) (or (not (= @t64 @t121)) @t65))) % 0.28/0.83 (assume @p162 (forall (@list @t2 @t223 @t222) (not (= @t64 @t224)))) % 0.28/0.83 (assume @p163 (forall @t157 (or @t225 @t156))) % 0.28/0.83 (assume @p164 (forall @t157 (or @t225 @t65))) % 0.28/0.83 (assume @p165 (forall @t227 (or @t226 @t156))) % 0.28/0.83 (assume @p166 (forall @t227 (or @t226 @t65))) % 0.28/0.83 (assume @p167 (forall (@list @t87 @t23 @t84 @t2) (= (tptp.c_List_Ofoldl @t87 @t23 @t216 @t2 @t84) @t23))) % 0.28/0.83 (assume @p168 (forall @t81 (= @t219 @t64))) % 0.28/0.83 (assume @p169 (forall (@list @t2 @t87 @t1 @t84) (or (not (= @t64 @t88)) @t217))) % 0.28/0.83 (assume @p170 (forall @t229 (= @t32 @t228))) % 0.28/0.83 (assume @p171 (forall (@list @t2 @t32) (= @t228 @t32))) % 0.28/0.83 (assume @p172 (forall @t8 (= @t1 @t155))) % 0.28/0.83 (assume @p173 (forall @t71 (= @t17 (tptp.c_List_Oappend @t64 @t17 @t2)))) % 0.28/0.83 (assume @p174 (forall @t8 (= @t155 @t1))) % 0.28/0.83 (assume @p175 (forall @t232 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t231) @t130) @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t130))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t18 @t130 @t11) @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.28/0.83 (assume @p176 (forall (@list @t175 @t25 @t176) (or (= @t175 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t177 @t180 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t179))) % 0.28/0.83 (assume @p177 (forall @t209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t233) (tptp.c_Lambda_Osubst @t130 @t119 @t11))))) % 0.28/0.83 (assume @p178 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xconcat__Xinduct__1 @t95) @t236 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p179 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtake__Xinduct__1 @t95) @t240 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p180 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xmap__Xinduct__1 @t95) @t241 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p181 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 @t95) @t242 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p182 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 @t95) @t243 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p183 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xzip__Xinduct__1 @t95) @t244 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p184 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistset__Xinduct__1 @t95) @t245 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p185 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 @t95) @t246 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p186 (forall @t239 (or @t238 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 @t95) @t247 tptp.t_a)))) @t235))) % 0.28/0.83 (assume @p187 (forall (@list @t119 @t130 @t25) (= (tptp.c_Lambda_Osubstn @t119 @t130 @t25) (tptp.c_Lambda_Osubst @t119 (tptp.c_Lambda_Oliftn @t25 @t130 @t11) @t25)))) % 0.28/0.83 (assume @p188 (forall (@list @t1 @t17 @t32 @t2 @t16) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend @t1 @t120 @t2) @t6 @t16 @t2) (tptp.c_List_Oappend @t1 @t33 @t2)))) % 0.28/0.83 (assume @p189 (forall @t250 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t249) @t248)) @t171))) % 0.28/0.83 (assume @p190 (forall (@list @t18 @t176 @t230) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t18 @t176 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t249)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t176 @t230 tptp.tc_Lambda_OdB))))) % 0.28/0.83 (assume @p191 (forall @t254 (or @t97 (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Osko__List__XCons__eq__filter__iff__1__3 @t95 @t29 @t2))) (= @t253 @t252)))) % 0.28/0.83 (assume @p192 (forall @t254 (or @t97 (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 @t95 @t29 @t2))) (= @t252 @t253)))) % 0.28/0.83 (assume @p193 (forall @t152 (or @t151 @t154 @t156))) % 0.28/0.83 (assume @p194 (forall @t147 (or @t146 @t153 @t156))) % 0.28/0.83 (assume @p195 (forall @t256 (= (tptp.c_List_Olast @t255 @t2) @t17))) % 0.28/0.83 (assume @p196 (forall @t256 (= (tptp.c_List_Obutlast @t255 @t2) @t1))) % 0.28/0.83 (assume @p197 (forall (@list @t32 @t1 @t16 @t17 @t18 @t2) (or @t261 @t260 @t259))) % 0.28/0.83 (assume @p198 (forall (@list @t18 @t16 @t17 @t32 @t2 @t1) (or @t66 @t260 @t259))) % 0.28/0.83 (assume @p199 (forall @t147 (or @t146 @t144 @t156))) % 0.28/0.83 (assume @p200 (forall @t152 (or @t151 @t150 @t156))) % 0.28/0.83 (assume @p201 (forall (@list @t18 @t16 @t17 @t32 @t1 @t2) (or @t66 @t46 @t259))) % 0.28/0.83 (assume @p202 (forall (@list @t17 @t1 @t84) (= (tptp.c_List_Orotate1 @t262 @t84) (tptp.c_List_Oappend @t1 (tptp.c_List_Olist_OCons @t17 @t216 @t84) @t84)))) % 0.28/0.83 (assume @p203 (forall (@list @t32 @t1 @t18 @t2 @t16 @t17) (or @t261 @t46 @t259))) % 0.28/0.83 (assume @p204 (forall (@list @t72 @t17 @t2) (= (tptp.c_List_Oappend @t263 @t140 @t2) (tptp.c_List_Olist_OCons @t17 @t263 @t2)))) % 0.28/0.83 (assume @p205 (forall @t267 (or @t266 (= @t134 (tptp.c_List_Oappend @t265 @t131 tptp.tc_Lambda_OdB)) @t264))) % 0.28/0.83 (assume @p206 (forall (@list @t25 @t119 @t111) (= (tptp.c_Lambda_Oliftn @t56 @t119 @t111) (tptp.c_Lambda_Olift @t268 @t111)))) % 0.28/0.83 (assume @p207 (forall @t186 (or (= (tptp.c_Lambda_Osubstn @t185 @t130 @t111) @t185) @t184 @t183))) % 0.28/0.83 (assume @p208 (forall (@list @t119 @t130) (= (tptp.c_Lambda_Osubstn @t119 @t130 @t11) (tptp.c_Lambda_Osubst @t119 @t130 @t11)))) % 0.28/0.83 (assume @p209 (forall (@list @t202 @t17 @t203 @t2) (or @t269 @t206))) % 0.28/0.83 (assume @p210 (forall (@list @t87 @t23 @t1 @t2 @t84) (= @t211 (tptp.c_List_Ofoldr (tptp.c_COMBC @t87 @t2 @t84 @t2) @t270 @t23 @t84 @t2)))) % 0.28/0.83 (assume @p211 (forall @t71 (= @t140 @t271))) % 0.28/0.83 (assume @p212 (forall (@list @t87 @t1 @t111 @t16 @t84 @t2) (= (tptp.c_List_Omap @t87 (tptp.c_List_Olist__update @t1 @t111 @t16 @t84) @t84 @t2) (tptp.c_List_Olist__update @t88 @t111 (tptp.hAPP @t87 @t16) @t2)))) % 0.28/0.83 (assume @p213 (forall @t139 (= @t31 @t272))) % 0.28/0.83 (assume @p214 (forall @t256 (not (= @t1 @t31)))) % 0.28/0.83 (assume @p215 (forall (@list @t17 @t119 @t2) (not (= (tptp.c_List_Olist_OCons @t17 @t119 @t2) @t119)))) % 0.28/0.83 (assume @p216 (forall @t195 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t194) @t193)) @t168))) % 0.28/0.83 (assume @p217 (forall @t276 (or @t96 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons @t275 @t274 tptp.t_a)))) @t235 @t273))) % 0.28/0.83 (assume @p218 (forall (@list @t119 @t111 @t130) (= (tptp.c_Lambda_Osubst @t277 @t130 @t111) @t119))) % 0.28/0.83 (assume @p219 (forall @t276 (or @t96 (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_OCons @t279 @t278 tptp.t_a)))) @t235 @t273))) % 0.28/0.83 (assume @p220 (forall (@list @t32 @t2 @t16) (= (tptp.c_List_Orev @t280 @t2) @t33))) % 0.28/0.83 (assume @p221 (forall (@list @t2 @t1 @t17) (or @t107 @t281 (not (tptp.c_List_Olinorder__class_Osorted @t31 @t2))))) % 0.28/0.83 (assume @p222 (forall (@list @t17 @t282 @t141 @t2) (= (tptp.c_List_Olist_OCons @t17 (tptp.c_List_Oappend @t282 @t141 @t2) @t2) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t17 @t282 @t2) @t141 @t2)))) % 0.28/0.83 (assume @p223 (forall (@list @t17 @t29 @t141 @t2) (= @t284 @t283))) % 0.28/0.83 (assume @p224 (forall @t139 (= (tptp.c_List_Oremove1 @t17 @t31 @t2) @t1))) % 0.28/0.83 (assume @p225 (forall @t289 (= (tptp.c_List_Olist_Olist__case @t288 @t285 @t287 @t2 @t84) @t286))) % 0.28/0.83 (assume @p226 (forall (@list @t87 @t17 @t1 @t84 @t2) (= (tptp.c_List_Omap @t87 @t262 @t84 @t2) (tptp.c_List_Olist_OCons @t90 @t88 @t2)))) % 0.28/0.83 (assume @p227 (forall (@list @t87 @t29 @t251 @t84 @t2) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t87 @t29) (tptp.c_List_Omap @t87 @t251 @t84 @t2) @t2) (tptp.c_List_Omap @t87 (tptp.c_List_Olist_OCons @t29 @t251 @t84) @t84 @t2)))) % 0.28/0.83 (assume @p228 (forall (@list @t87 @t17 @t29 @t84 @t2) (= (tptp.c_List_Omap @t87 (tptp.c_List_Olist_OCons @t17 @t29 @t84) @t84 @t2) (tptp.c_List_Olist_OCons @t90 (tptp.c_List_Omap @t87 @t29 @t84 @t2) @t2)))) % 0.28/0.83 (assume @p229 (forall (@list @t17 @t1 @t2 @t32) (= (tptp.c_List_Oappend @t31 @t32 @t2) (tptp.c_List_Olist_OCons @t17 @t104 @t2)))) % 0.28/0.83 (assume @p230 (forall (@list @t17 @t29 @t2 @t141) (= @t283 @t284))) % 0.28/0.83 (assume @p231 (forall @t232 (or @t290 (= @t231 @t130)))) % 0.28/0.83 (assume @p232 (forall (@list @t2 @t16 @t141 @t17) (or @t107 (tptp.c_List_Olinorder__class_Osorted @t291 @t2) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t17 @t291 @t2) @t2))))) % 0.28/0.83 (assume @p233 (forall @t110 (or @t294 @t293))) % 0.28/0.83 (assume @p234 (forall @t110 (or @t115 @t293))) % 0.28/0.83 (assume @p235 (forall @t295 (= @t204 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t202 @t203 @t201)))) % 0.28/0.83 (assume @p236 (forall (@list @t1 @t2 @t16 @t32) (or (not (= @t121 @t33)) (= @t1 @t280)))) % 0.28/0.83 (assume @p237 (forall @t71 (= @t271 @t140))) % 0.28/0.83 (assume @p238 (forall (@list @t87 @t23 @t17 @t1 @t84 @t2) (= (tptp.c_List_Ofoldl @t87 @t23 @t262 @t2 @t84) (tptp.c_List_Ofoldl @t87 (tptp.hAPP (tptp.hAPP @t87 @t23) @t17) @t1 @t2 @t84)))) % 0.28/0.83 (assume @p239 (forall @t139 (= (tptp.c_List_Orev @t31 @t2) (tptp.c_List_Oappend @t121 @t140 @t2)))) % 0.28/0.83 (assume @p240 (forall (@list @t17 @t1 @t2 @t95 @t32) (or (not (= @t31 @t213)) @t96))) % 0.28/0.83 (assume @p241 (forall @t296 (= (tptp.c_List_Oremdups @t214 @t2) (tptp.c_List_Ofilter @t95 @t3 @t2)))) % 0.28/0.83 (assume @p242 (forall @t298 (or (= @t297 (tptp.c_List_Olist_OCons @t17 @t214 @t2)) @t97))) % 0.28/0.83 (assume @p243 (forall (@list @t17 @t2 @t1) (or (not (= @t140 @t121)) @t299))) % 0.28/0.83 (assume @p244 (forall @t304 (= (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t303 @t2) @t302))) % 0.28/0.83 (assume @p245 (forall @t174 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t173) @t172)) @t168))) % 0.28/0.83 (assume @p246 (forall @t89 (= (tptp.c_List_Orev @t88 @t2) (tptp.c_List_Omap @t87 @t270 @t84 @t2)))) % 0.28/0.83 (assume @p247 (forall (@list @t32 @t1 @t2 @t141) (or (not (= (tptp.c_List_Oappend @t32 @t1 @t2) (tptp.c_List_Oappend @t141 @t1 @t2))) @t305))) % 0.28/0.83 (assume @p248 (forall @t306 (or (not (= @t104 @t197)) @t305))) % 0.28/0.83 (assume @p249 (forall (@list @t95 @t32 @t2 @t17 @t1) (or (not (= @t213 @t31)) @t96))) % 0.28/0.83 (assume @p250 (forall (@list @t25 @t87 @t1 @t84 @t2) (= (tptp.c_List_Orotate @t25 @t88 @t2) (tptp.c_List_Omap @t87 (tptp.c_List_Orotate @t25 @t1 @t84) @t84 @t2)))) % 0.28/0.83 (assume @p251 (forall @t8 (= @t1 @t307))) % 0.28/0.83 (assume @p252 (forall @t229 (= (tptp.c_List_Orev @t210 @t2) @t32))) % 0.28/0.83 (assume @p253 (forall @t8 (= @t307 @t1))) % 0.28/0.83 (assume @p254 (forall (@list @t87 @t1 @t32 @t84 @t23 @t2) (= (tptp.c_List_Ofoldr @t87 @t212 @t23 @t84 @t2) (tptp.c_List_Ofoldr @t87 @t1 (tptp.c_List_Ofoldr @t87 @t32 @t23 @t84 @t2) @t84 @t2)))) % 0.28/0.83 (assume @p255 (forall @t298 (or @t308 @t97))) % 0.28/0.83 (assume @p256 (forall (@list @t1 @t2 @t17) (or (not (= @t121 @t140)) @t299))) % 0.28/0.83 (assume @p257 (forall @t298 (or @t308 (not @t309)))) % 0.28/0.83 (assume @p258 (forall (@list @t95 @t1 @t2 @t17) (or @t309 @t96 (not @t308)))) % 0.28/0.83 (assume @p259 (forall (@list @t18 @t17 @t1 @t2 @t16 @t32) (or (tptp.c_List_Olistrelp @t18 @t31 @t33 @t2) (not (tptp.c_List_Olistrelp @t18 @t1 @t32 @t2)) @t94))) % 0.28/0.83 (assume @p260 (forall @t312 (or @t294 @t311))) % 0.28/0.83 (assume @p261 (forall @t312 (or @t294 @t313))) % 0.28/0.83 (assume @p262 (forall @t312 (or @t115 @t313))) % 0.28/0.83 (assume @p263 (forall @t312 (or @t115 @t311))) % 0.28/0.83 (assume @p264 (forall (@list @t203 @t202 @t2 @t314) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t204 @t314 @t201) @t315))) % 0.28/0.83 (assume @p265 (forall (@list @t203 @t202 @t314 @t2) (= @t315 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t202 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 @t314 @t201) @t201)))) % 0.28/0.83 (assume @p266 (forall (@list @t300 @t316) (or (not (= @t303 @t317)) (= @t300 @t316)))) % 0.28/0.83 (assume @p267 (forall (@list @t17 @t16 @t1 @t2) (or (= (tptp.c_List_Oremove1 @t17 @t181 @t2) (tptp.c_List_Olist_OCons @t16 (tptp.c_List_Oremove1 @t17 @t1 @t2) @t2)) @t36))) % 0.28/0.83 (assume @p268 (forall @t250 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t249) @t248)) @t168))) % 0.28/0.83 (assume @p269 (forall (@list @t87 @t1 @t32 @t84 @t2) (= (tptp.c_List_Omap @t87 @t212 @t84 @t2) (tptp.c_List_Oappend @t88 @t101 @t2)))) % 0.28/0.83 (assume @p270 (forall (@list @t23 @t203) (or (= @t23 (tptp.c_List_Olist_OCons @t321 @t320 tptp.t_a)) @t319 @t318))) % 0.28/0.83 (assume @p271 (forall @t324 (or @t323 @t322))) % 0.28/0.83 (assume @p272 (forall @t324 (or @t323 @t325))) % 0.28/0.83 (assume @p273 (forall @t327 (or @t326 (= @t130 @t231)))) % 0.28/0.83 (assume @p274 (forall (@list @t17 @t95 @t1 @t2) (or (= (tptp.c_List_Oremove1 @t17 @t214 @t2) @t214) @t96))) % 0.28/0.83 (assume @p275 (forall @t289 (= (tptp.c_List_Olist_Olist__rec @t288 @t285 @t287 @t2 @t84) (tptp.hAPP @t286 (tptp.c_List_Olist_Olist__rec @t288 @t285 @t237 @t2 @t84))))) % 0.28/0.83 (assume @p276 (forall (@list @t1 @t2 @t32) (or (not (= @t121 @t210)) @t35))) % 0.28/0.83 (assume @p277 (forall (@list @t87 @t1 @t23 @t84 @t2) (= @t328 (tptp.c_List_Ofoldl (tptp.c_COMBC @t87 @t84 @t2 @t2) @t23 @t270 @t2 @t84)))) % 0.28/0.83 (assume @p278 (forall @t304 (= (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t303 @t2) (tptp.hAPP @t302 (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t300 @t2))))) % 0.28/0.83 (assume @p279 (forall @t139 (not (tptp.c_List_Onull @t31 @t2)))) % 0.28/0.83 (assume @p280 (forall @t110 (or @t294 @t329))) % 0.28/0.83 (assume @p281 (forall @t110 (or @t115 @t329))) % 0.28/0.83 (assume @p282 (forall @t295 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 @t204 @t201) @t204))) % 0.28/0.83 (assume @p283 (forall (@list @t87 @t17 @t1 @t84 @t23 @t2) (= (tptp.c_List_Ofoldr @t87 @t262 @t23 @t84 @t2) (tptp.hAPP @t90 @t328)))) % 0.28/0.83 (assume @p284 (forall (@list @t95 @t288 @t285 @t301 @t300) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t303 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 @t302))))) % 0.28/0.83 (assume @p285 (forall (@list @t95 @t288 @t285 @t301 @t29) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 (tptp.c_Lambda_OdB_OAbs @t29) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 (tptp.hAPP @t301 @t29)))))) % 0.28/0.83 (assume @p286 (forall (@list @t2 @t17 @t1) (= @t272 @t31))) % 0.28/0.83 (assume @p287 (forall @t105 (or @t115 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t17 @t17 @t2) @t17)))) % 0.28/0.83 (assume @p288 (forall @t330 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t203 @t203 @t201) @t203))) % 0.28/0.83 (assume @p289 (forall @t332 (or @t331 (= @t23 @t223)))) % 0.28/0.83 (assume @p290 (forall @t332 (or @t331 (= @t237 @t222)))) % 0.28/0.83 (assume @p291 (forall @t192 (or @t191 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t119) @t161))) @t190))) % 0.28/0.83 (assume @p292 (forall @t227 (or @t107 @t281 @t333))) % 0.28/0.83 (assume @p293 (forall (@list @t2 @t32 @t1) (or @t107 (tptp.c_List_Olinorder__class_Osorted @t32 @t2) @t333))) % 0.28/0.83 (assume @p294 (forall (@list @t1 @t72 @t17 @t2 @t334 @t335) (or (= (tptp.c_List_Olist__update @t73 @t334 @t335 @t2) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t1 @t334 @t335 @t2) @t72 @t17 @t2)) (= @t72 @t334)))) % 0.28/0.83 (assume @p295 (forall (@list @t2 @t336) (or @t107 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups @t336 @t2) @t2) (not (tptp.c_List_Olinorder__class_Osorted @t336 @t2))))) % 0.28/0.83 (assume @p296 (forall @t298 (or (= @t297 @t214) @t96))) % 0.28/0.83 (assume @p297 (forall (@list @t203 @t202 @t2 @t17) (or @t205 (not @t269) (not @t207)))) % 0.28/0.83 (assume @p298 (forall @t296 (= (tptp.c_List_Orev @t214 @t2) (tptp.c_List_Ofilter @t95 @t121 @t2)))) % 0.28/0.83 (assume @p299 (forall @t338 (or @t337 @t35))) % 0.28/0.83 (assume @p300 (forall @t338 (or @t337 @t36))) % 0.28/0.83 (assume @p301 (forall (@list @t95 @t288 @t285 @t23 @t237) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_Olist__case @t288 @t285 (tptp.c_List_Olist_OCons @t23 @t237 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t95 @t286))))) % 0.28/0.83 (assume @p302 (forall (@list @t95 @t288 @t285 @t29 @t251) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_Olist__case @t288 @t285 (tptp.c_List_Olist_OCons @t29 @t251 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t285 @t29) @t251)))))) % 0.28/0.83 (assume @p303 (forall (@list @t1 @t72 @t17 @t2 @t16) (= (tptp.c_List_Olist__update @t73 @t72 @t16 @t2) @t182))) % 0.28/0.83 (assume @p304 (forall @t306 (= (tptp.c_List_Oappend @t104 @t141 @t2) (tptp.c_List_Oappend @t1 @t145 @t2)))) % 0.28/0.83 (assume @p305 (forall (@list @t1 @t282 @t43 @t2) (= (tptp.c_List_Oappend @t1 (tptp.c_List_Oappend @t282 @t43 @t2) @t2) (tptp.c_List_Oappend (tptp.c_List_Oappend @t1 @t282 @t2) @t43 @t2)))) % 0.28/0.83 (assume @p306 (forall (@list @t141 @t17 @t2 @t32) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t141 @t17 @t2) @t32 @t2) (tptp.c_List_Oappend @t141 (tptp.c_List_Oappend @t17 @t32 @t2) @t2)))) % 0.28/0.83 (assume @p307 (forall (@list @t1 @t17 @t134 @t2) (= (tptp.c_List_Oappend @t1 (tptp.c_List_Oappend @t17 @t134 @t2) @t2) (tptp.c_List_Oappend @t45 @t134 @t2)))) % 0.28/0.83 (assume @p308 (forall (@list @t2 @t23 @t1) (or @t107 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t23 @t1 @t2) @t2) (not @t281)))) % 0.28/0.83 (assume @p309 (forall @t339 (not (tptp.c_List_Olist__ex @t95 @t64 @t2)))) % 0.28/0.83 (assume @p310 (forall @t81 (tptp.c_List_Onull @t64 @t2))) % 0.28/0.83 (assume @p311 (forall (@list @t95 @t288 @t285) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_List_Olist_Olist__case @t288 @t285 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t95 @t288))))) % 0.28/0.83 (assume @p312 (forall (@list @t87 @t84 @t23 @t2) (= (tptp.c_List_Ofoldr @t87 @t216 @t23 @t84 @t2) @t23))) % 0.28/0.83 (assume @p313 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t244)) @t235))) % 0.28/0.83 (assume @p314 (forall @t341 (= @t340 @t64))) % 0.28/0.83 (assume @p315 (forall (@list @t2 @t203) (= (tptp.c_List_Osublist @t64 @t203 @t2) @t64))) % 0.28/0.83 (assume @p316 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t245)) @t235))) % 0.28/0.83 (assume @p317 (forall @t342 (= (tptp.c_List_Olist_Olist__rec @t288 @t285 @t216 @t2 @t84) @t288))) % 0.28/0.83 (assume @p318 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t243)) @t235))) % 0.28/0.83 (assume @p319 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t240)) @t235))) % 0.28/0.83 (assume @p320 (forall @t81 (or @t107 (tptp.c_List_Olinorder__class_Osorted @t64 @t2)))) % 0.28/0.83 (assume @p321 (forall @t341 (= (tptp.c_List_Ofiltermap @t87 @t216 @t84 @t2) @t64))) % 0.28/0.83 (assume @p322 (forall @t105 (or (not (= @t64 @t221)) @t220))) % 0.28/0.83 (assume @p323 (forall @t339 (= (tptp.c_List_Ofilter @t95 @t64 @t2) @t64))) % 0.28/0.83 (assume @p324 (forall (@list @t2 @t111 @t17) (= (tptp.c_List_Olist__update @t64 @t111 @t17 @t2) @t64))) % 0.28/0.83 (assume @p325 (forall (@list @t2 @t72 @t16) (= (tptp.c_List_Olist__update @t64 @t72 @t16 @t2) @t64))) % 0.28/0.83 (assume @p326 (forall (@list @t2 @t72 @t175) (= (tptp.c_List_Olist__update @t64 @t72 @t175 @t2) @t64))) % 0.28/0.83 (assume @p327 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t236)) @t235))) % 0.28/0.83 (assume @p328 (forall @t48 (not (= @t40 @t64)))) % 0.28/0.83 (assume @p329 (forall (@list @t223 @t222 @t2) (not (= @t224 @t64)))) % 0.28/0.83 (assume @p330 (forall @t71 (= (tptp.c_List_Oremove1 @t17 @t64 @t2) @t64))) % 0.28/0.83 (assume @p331 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t247)) @t235))) % 0.28/0.83 (assume @p332 (forall (@list @t9 @t343 @t84 @t2) (= (tptp.c_Map_Omap__upds @t9 @t343 @t216 @t2 @t84) @t9))) % 0.28/0.83 (assume @p333 (forall (@list @t9 @t2 @t344 @t84) (= (tptp.c_Map_Omap__upds @t9 @t64 @t344 @t2 @t84) @t9))) % 0.28/0.83 (assume @p334 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t246)) @t235))) % 0.28/0.83 (assume @p335 (forall @t342 (= (tptp.c_List_Olist_Olist__case @t288 @t285 @t216 @t2 @t84) @t288))) % 0.28/0.83 (assume @p336 (forall @t8 (or (not (= @t121 @t64)) @t65))) % 0.28/0.83 (assume @p337 (forall (@list @t25 @t2) (= (tptp.c_List_Orotate @t25 @t64 @t2) @t64))) % 0.28/0.83 (assume @p338 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t242)) @t235))) % 0.28/0.83 (assume @p339 (forall (@list @t2 @t87 @t84) (= @t64 @t340))) % 0.28/0.83 (assume @p340 (forall @t81 (= @t64 @t215))) % 0.28/0.83 (assume @p341 (forall @t79 (tptp.c_List_Olistrelp @t18 @t64 @t64 @t2))) % 0.28/0.83 (assume @p342 (forall @t239 (or @t238 (tptp.hBOOL (tptp.hAPP @t95 @t241)) @t235))) % 0.28/0.83 (assume @p343 (forall @t81 (= @t218 @t64))) % 0.28/0.83 (assume @p344 (forall (@list @t1 @t111 @t17 @t2) (or (not (= (tptp.c_List_Olist__update @t1 @t111 @t17 @t2) @t64)) @t65))) % 0.28/0.83 (assume @p345 (forall @t346 (= (tptp.c_Lambda_Osubst @t345 @t130 @t111) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t119 @t130 @t111)) (tptp.c_Lambda_Osubst @t133 @t130 @t111))))) % 0.28/0.83 (assume @p346 (forall (@list @t348 @t347 @t316) (not (= @t349 @t317)))) % 0.28/0.83 (assume @p347 (forall (@list @t316 @t348 @t347) (not (= @t317 @t349)))) % 0.28/0.83 (assume @p348 (forall (@list @t95 @t288 @t285 @t301 @t251 @t350) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t251) @t350) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t285 @t251) @t350)))))) % 0.28/0.83 (assume @p349 (forall (@list @t95 @t288 @t285 @t301 @t348 @t347) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t349 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 @t351))))) % 0.28/0.83 (assume @p350 (forall (@list @t130 @t119 @t111) (= (tptp.c_Lambda_Olift @t165 @t111) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t130 @t111)) @t277)))) % 0.28/0.83 (assume @p351 (forall @t352 (= (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t349 @t2) @t351))) % 0.28/0.83 (assume @p352 (forall @t352 (= (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t349 @t2) (tptp.hAPP (tptp.hAPP @t351 (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t348 @t2)) (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t347 @t2))))) % 0.28/0.83 (assume @p353 (forall (@list @t18 @t134 @t130) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t18 @t134 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t130 @t134 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t325))) % 0.28/0.83 (assume @p354 (forall (@list @t133 @t130 @t119) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t353 @t130)) (tptp.hAPP @t353 @t119))) @t208))) % 0.28/0.83 (assume @p355 (forall (@list @t130 @t133 @t119) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t164 @t133)) @t345)) @t208))) % 0.28/0.83 (assume @p356 (forall (@list @t25 @t130 @t119 @t111) (= (tptp.c_Lambda_Oliftn @t25 @t165 @t111) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t25 @t130 @t111)) @t268)))) % 0.28/0.83 (assume @p357 (forall @t346 (= (tptp.c_Lambda_Osubstn @t345 @t130 @t111) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t119 @t130 @t111)) (tptp.c_Lambda_Osubstn @t133 @t130 @t111))))) % 0.28/0.83 (assume @p358 (forall (@list @t188 @t355 @t189 @t72 @t134) (or (= @t188 @t355) (not (tptp.c_Type_Otyping @t189 @t354 @t355)) (not (tptp.c_Type_Otyping @t189 @t354 @t188))))) % 0.28/0.83 (assume @p359 (forall (@list @t25 @t134 @t18 @t230) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t177 @t134 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t231 @t230 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.83 (assume @p360 (forall (@list @t130 @t119 @t25 @t230) (not (= @t233 @t356)))) % 0.28/0.83 (assume @p361 (forall (@list @t316 @t91) (not (= @t317 @t357)))) % 0.28/0.83 (assume @p362 (forall (@list @t95 @t288 @t285 @t301 @t358) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 (tptp.c_Lambda_OdB_OVar @t358) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 (tptp.hAPP @t288 @t358)))))) % 0.28/0.83 (assume @p363 (forall (@list @t95 @t288 @t285 @t301 @t91) (or (not (tptp.hBOOL (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t357 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t95 @t359))))) % 0.28/0.83 (assume @p364 (forall (@list @t111 @t133) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t111) @t133 @t111) @t133))) % 0.28/0.83 (assume @p365 (forall (@list @t72 @t119) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t185) @t119))))) % 0.28/0.83 (assume @p366 (forall @t360 (= (tptp.c_Lambda_OdB_OdB__rec @t288 @t285 @t301 @t357 @t2) @t359))) % 0.28/0.83 (assume @p367 (forall (@list @t91 @t316) (not (= @t357 @t317)))) % 0.28/0.83 (assume @p368 (forall (@list @t189 @t72 @t188) (or (= (tptp.hAPP @t189 @t72) @t188) (not (tptp.c_Type_Otyping @t189 @t185 @t188))))) % 0.28/0.83 (assume @p369 (forall @t360 (= (tptp.c_Lambda_OdB_OdB__case @t288 @t285 @t301 @t357 @t2) @t359))) % 0.28/0.83 (assume @p370 (forall (@list @t361 @t17) (tptp.c_Type_Otyping @t361 @t137 (tptp.hAPP @t361 @t17)))) % 0.28/0.83 (assume @p371 (forall @t232 (or @t290 @t362))) % 0.28/0.83 (assume @p372 (forall @t364 (= @t231 @t363))) % 0.28/0.83 (assume @p373 (forall @t267 (or @t266 (= @t18 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 @t265 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t264))) % 0.28/0.83 (assume @p374 (forall @t327 (or @t326 @t362))) % 0.28/0.83 (assume @p375 (forall @t364 (= @t363 @t231))) % 0.28/0.83 (assume @p376 (forall (@list @t203 @t1 @t32 @t2) (or @t367 (not @t366) (not @t365)))) % 0.28/0.83 (assume @p377 (forall (@list @t203 @t1 @t2) (or @t365 (not (tptp.hBOOL (tptp.hAPP @t203 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t203 @t1 @t2))))))) % 0.28/0.83 (assume @p378 (forall (@list @t203 @t202 @t2 @t336) (or (tptp.c_List_Olistsp @t204 @t336 @t2) (not (tptp.c_List_Olistsp @t202 @t336 @t2)) (not (tptp.c_List_Olistsp @t203 @t336 @t2))))) % 0.28/0.83 (assume @p379 (forall (@list @t203 @t32 @t2 @t1) (or @t366 @t368))) % 0.28/0.83 (assume @p380 (forall (@list @t203 @t1 @t2 @t32) (or @t365 @t368))) % 0.28/0.83 (assume @p381 (forall (@list @t119 @t72) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift @t119 @t72))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t119)))))) % 0.28/0.83 (assume @p382 (forall @t364 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t231)) @t369))) % 0.28/0.83 (assume @p383 (forall @t372 (or @t371 @t26))) % 0.28/0.83 (assume @p384 (forall @t372 (or @t371 @t322))) % 0.28/0.83 (assume @p385 (forall @t374 (or @t373 (= @t370 @t130)))) % 0.28/0.83 (assume @p386 (forall @t276 (or @t96 (tptp.hBOOL (tptp.hAPP @t203 @t275)) @t235 @t273))) % 0.28/0.83 (assume @p387 (forall @t276 (or @t96 (tptp.hBOOL (tptp.hAPP @t95 @t274)) @t235 @t273))) % 0.28/0.83 (assume @p388 (forall @t276 (or @t96 (tptp.hBOOL (tptp.hAPP @t203 @t279)) @t235 @t273))) % 0.28/0.83 (assume @p389 (forall @t276 (or @t96 (tptp.hBOOL (tptp.hAPP @t95 @t278)) @t235 @t273))) % 0.28/0.83 (assume @p390 (forall @t375 (or (tptp.c_List_Olistsp @t203 @t320 tptp.t_a) @t319 @t318))) % 0.28/0.83 (assume @p391 (forall @t375 (or (tptp.hBOOL (tptp.hAPP @t203 @t321)) @t319 @t318))) % 0.28/0.83 (assume @p392 (forall @t276 (or @t96 (tptp.c_List_Olistsp @t203 @t274 tptp.t_a) @t235 @t273))) % 0.28/0.83 (assume @p393 (forall @t276 (or @t96 (tptp.c_List_Olistsp @t203 @t278 tptp.t_a) @t235 @t273))) % 0.28/0.83 (assume @p394 (forall (@list @t18 @t130) (= @t132 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t132 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.83 (assume @p395 (forall (@list @t18 @t130 @t119) (or (not (= @t132 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t119 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t132 @t119)))) % 0.28/0.83 (assume @p396 (forall (@list @t18 @t72 @t117) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t18 @t185 @t117))) @t369))) % 0.28/0.83 (assume @p397 (forall @t12 (= @t370 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t370 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.83 (assume @p398 (forall @t374 (or @t373 @t362))) % 0.28/0.83 (assume @p399 (forall (@list @t25 @t176) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t178)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t176 tptp.tc_Lambda_OdB))))) % 0.28/0.83 (assume @p400 (forall @t93 (or (not (= @t357 (tptp.c_Lambda_OdB_OVar @t13))) @t92))) % 0.28/0.83 (assume @p401 (forall @t380 (or @t379 (= @t348 @t376)))) % 0.28/0.83 (assume @p402 (forall @t380 (or @t379 (= @t347 @t377)))) % 0.28/0.83 (assume @p403 (forall (@list @t91 @t376 @t377) (not (= @t357 @t378)))) % 0.28/0.83 (assume @p404 (forall @t39 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t177)))) % 0.28/0.83 (assume @p405 @t381) % 0.28/0.83 (assume @p406 (forall (@list @t95 @t383 @t84 @t2 @t384 @t382) (= (tptp.hAPP (tptp.c_COMBB @t95 @t383 @t84 @t2 @t384) @t382) (tptp.hAPP @t95 (tptp.hAPP @t383 @t382))))) % 0.28/0.83 (assume @p407 (forall (@list @t95 @t84 @t384 @t2 @t383 @t382) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t95 @t84 @t384 @t2) @t383) @t382) (tptp.hAPP (tptp.hAPP @t95 @t382) @t383)))) % 0.28/0.83 (assume @p408 (forall (@list @t376 @t377 @t91) (not (= @t378 @t357)))) % 0.28/0.83 (assume @p409 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT tptp.v_rs tptp.tc_Lambda_OdB)) % 0.28/0.83 (assume @p410 (tptp.c_List_Olistsp (tptp.c_COMBB tptp.c_InductTermi_OIT (tptp.hAPP (tptp.c_COMBC tptp.c_Lambda_OdB_OApp tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_Lambda_OdB_OVar tptp.v_i)) tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_Lambda_OdB) tptp.v_rs tptp.tc_Lambda_OdB)) % 0.28/0.83 (assume @p411 (not @t385)) % 0.28/0.83 (assume @p412 (forall @t390 (or (tptp.class_Lattices_Olower__semilattice @t389) @t387))) % 0.28/0.83 (assume @p413 (forall @t390 (or (tptp.class_Orderings_Opreorder @t389) (not (tptp.class_Orderings_Opreorder @t386))))) % 0.28/0.83 (assume @p414 (forall @t390 (or (tptp.class_Lattices_Olattice @t389) @t387))) % 0.28/0.83 (assume @p415 (forall @t390 (or (tptp.class_Orderings_Oorder @t389) (not (tptp.class_Orderings_Oorder @t386))))) % 0.28/0.83 (assume @p416 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.28/0.83 (assume @p417 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.28/0.83 (assume @p418 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.28/0.83 (assume @p419 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.28/0.83 (assume @p420 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.28/0.83 (assume @p421 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.28/0.83 (assume @p422 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.28/0.83 (assume @p423 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.28/0.83 (assume @p424 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.28/0.83 (assume @p425 (forall @t71 (tptp.c_fequal @t17 @t17 @t2))) % 0.28/0.83 (assume @p426 (forall (@list @t392 @t391 @t2) (or (= @t392 @t391) (not (tptp.c_fequal @t392 @t391 @t2))))) % 0.28/0.83 (assume-push @p434 @t381) % 0.28/0.83 (step @p428 :rule instantiate :premises (@p405) :args ((@list tptp.c_InductTermi_OIT tptp.tc_Lambda_OdB))) % 0.28/0.83 (step-pop @p435 :rule scope :premises (@p428)) % 0.28/0.83 (step @p429 :rule process_scope :premises (@p435) :args (@t385)) % 0.28/0.83 (step @p431 :rule implies_elim :premises (@p429)) % 0.28/0.83 (step @p432 :rule reordering :premises (@p431) :args ((or @t385 (not @t381)))) % 0.28/0.83 (step @p433 false :rule chain_m_resolution :premises (@p432 @p411 @p405) :args (false (@list true false) (@list @t385 @t381))) % 0.28/0.83 ) % 0.28/0.83 % SZS output end Proof % 0.28/0.83 % cvc5 exiting %------------------------------------------------------------------------------