%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL777-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 11:23:49 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.76s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL777-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.34 % Computer : n006.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Sun Sep 6 01:43:01 UTC 2026 % 0.08/0.35 % CPUTime : % 0.19/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.76 % SZS status Unsatisfiable % 0.43/0.76 % SZS output start Proof % 0.43/0.79 ( % 0.43/0.79 (declare-sort $$unsorted 0) % 0.43/0.79 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.43/0.79 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.v_i $$unsorted) % 0.43/0.79 (declare-const tptp.v_r $$unsorted) % 0.43/0.79 (declare-const tptp.v_ss $$unsorted) % 0.43/0.79 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.43/0.79 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.43/0.79 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Ohd (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Onth (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_List_Osplice (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.tc_nat $$unsorted) % 0.43/0.79 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.v_s $$unsorted) % 0.43/0.79 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.43/0.79 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.43/0.79 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.tc_bool $$unsorted) % 0.43/0.79 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.c_List_Otl (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.43/0.79 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.43/0.79 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.43/0.79 (define @t1 () (@var "T_a" $$unsorted)) % 0.43/0.79 (define @t2 () (@var "V_ys" $$unsorted)) % 0.43/0.79 (define @t3 () (@var "V_y" $$unsorted)) % 0.43/0.79 (define @t4 () (tptp.c_List_Olist_OCons @t3 @t2 @t1)) % 0.43/0.79 (define @t5 () (@var "V_xs" $$unsorted)) % 0.43/0.79 (define @t6 () (tptp.tc_List_Olist @t1)) % 0.43/0.79 (define @t7 () (tptp.c_Nat_Osize__class_Osize @t5 @t6)) % 0.43/0.79 (define @t8 () (@var "V_x" $$unsorted)) % 0.43/0.79 (define @t9 () (tptp.c_List_Olist_OCons @t8 @t2 @t1)) % 0.43/0.79 (define @t10 () (tptp.c_List_Oappend @t5 @t9 @t1)) % 0.43/0.79 (define @t11 () (tptp.c_List_Olist_ONil @t1)) % 0.43/0.79 (define @t12 () (= @t5 @t11)) % 0.43/0.79 (define @t13 () (@var "V_k" $$unsorted)) % 0.43/0.79 (define @t14 () (@var "V_v" $$unsorted)) % 0.43/0.79 (define @t15 () (@var "V_i" $$unsorted)) % 0.43/0.79 (define @t16 () (tptp.c_List_Onth @t5 @t15 @t1)) % 0.43/0.79 (define @t17 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t7 tptp.tc_nat))) % 0.43/0.79 (define @t18 () (tptp.c_List_Olist__update @t5 @t15 @t8 @t1)) % 0.43/0.79 (define @t19 () (@list @t5 @t15 @t8 @t1)) % 0.43/0.79 (define @t20 () (@var "V_j" $$unsorted)) % 0.43/0.79 (define @t21 () (= @t15 @t20)) % 0.43/0.79 (define @t22 () (= (tptp.c_List_Onth @t18 @t20 @t1) (tptp.c_List_Onth @t5 @t20 @t1))) % 0.43/0.79 (define @t23 () (@list @t5 @t15 @t8 @t1 @t20)) % 0.43/0.79 (define @t24 () (= (tptp.c_List_Olist__update @t5 @t15 @t16 @t1) @t5)) % 0.43/0.79 (define @t25 () (@list @t15 @t5 @t1)) % 0.43/0.79 (define @t26 () (@var "V_xa" $$unsorted)) % 0.43/0.79 (define @t27 () (@var "V_n" $$unsorted)) % 0.43/0.79 (define @t28 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t7 tptp.tc_nat))) % 0.43/0.79 (define @t29 () (tptp.c_List_Oappend @t5 @t2 @t1)) % 0.43/0.79 (define @t30 () (@list @t5 @t15 @t1)) % 0.43/0.79 (define @t31 () (@var "V_i_H" $$unsorted)) % 0.43/0.79 (define @t32 () (@var "V_x_H" $$unsorted)) % 0.43/0.79 (define @t33 () (tptp.c_List_Olist__update @t5 @t15 @t3 @t1)) % 0.43/0.79 (define @t34 () (tptp.c_Suc @t15)) % 0.43/0.79 (define @t35 () (tptp.c_List_Olist_OCons @t8 @t5 @t1)) % 0.43/0.79 (define @t36 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.43/0.79 (define @t37 () (tptp.c_List_Onth @t5 @t27 @t1)) % 0.43/0.79 (define @t38 () (tptp.c_List_Odrop @t27 @t5 @t1)) % 0.43/0.79 (define @t39 () (tptp.c_List_Ohd @t38 @t1)) % 0.43/0.79 (define @t40 () (@list @t27 @t5 @t1)) % 0.43/0.79 (define @t41 () (tptp.c_List_Odrop @t34 @t5 @t1)) % 0.43/0.79 (define @t42 () (tptp.c_List_Olist_OCons @t16 @t41 @t1)) % 0.43/0.79 (define @t43 () (tptp.c_List_Otake @t27 @t5 @t1)) % 0.43/0.79 (define @t44 () (@list @t8 @t5 @t1)) % 0.43/0.79 (define @t45 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.43/0.79 (define @t46 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.43/0.79 (define @t47 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.43/0.79 (define @t48 () (tptp.c_Nat_Osize__class_Osize @t47 @t6)) % 0.43/0.79 (define @t49 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t48 @t46 @t1) @t45 @t1)) % 0.43/0.79 (define @t50 () (tptp.c_Nat_Osize__class_Osize @t46 @t6)) % 0.43/0.79 (define @t51 () (@var "V_a" $$unsorted)) % 0.43/0.79 (define @t52 () (tptp.c_List_Otake @t15 @t5 @t1)) % 0.43/0.79 (define @t53 () (@var "V_zs" $$unsorted)) % 0.43/0.79 (define @t54 () (tptp.c_List_Olast @t5 @t1)) % 0.43/0.79 (define @t55 () (tptp.c_List_Otl @t38 @t1)) % 0.43/0.79 (define @t56 () (tptp.c_List_Otl @t5 @t1)) % 0.43/0.79 (define @t57 () (tptp.c_List_Odrop @t27 @t56 @t1)) % 0.43/0.79 (define @t58 () (tptp.c_Suc @t27)) % 0.43/0.79 (define @t59 () (@list @t27 @t8 @t5 @t1)) % 0.43/0.79 (define @t60 () (tptp.c_List_Obutlast @t38 @t1)) % 0.43/0.79 (define @t61 () (tptp.c_List_Obutlast @t5 @t1)) % 0.43/0.79 (define @t62 () (tptp.c_List_Odrop @t27 @t61 @t1)) % 0.43/0.79 (define @t63 () (@list @t2 @t5 @t1)) % 0.43/0.79 (define @t64 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.43/0.79 (define @t65 () (@list @t5 @t1)) % 0.43/0.79 (define @t66 () (tptp.c_Int_Onumber__class_Onumber__of @t14 tptp.tc_nat)) % 0.43/0.79 (define @t67 () (not (= @t66 @t36))) % 0.43/0.79 (define @t68 () (@list @t14 @t8 @t5 @t1)) % 0.43/0.79 (define @t69 () (@list @t27 @t1)) % 0.43/0.79 (define @t70 () (@var "V_T" $$unsorted)) % 0.43/0.79 (define @t71 () (@var "V_us" $$unsorted)) % 0.43/0.79 (define @t72 () (@var "V_ts" $$unsorted)) % 0.43/0.79 (define @t73 () (tptp.c_Lambda_OdB_OVar @t15)) % 0.43/0.79 (define @t74 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t73 @t72 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t75 () (@var "V_e" $$unsorted)) % 0.43/0.79 (define @t76 () (@var "V_Ts" $$unsorted)) % 0.43/0.79 (define @t77 () (@var "V_U" $$unsorted)) % 0.43/0.79 (define @t78 () (not (tptp.c_Type_Otyping @t75 @t74 @t77))) % 0.43/0.79 (define @t79 () (not (tptp.c_Type_Otyping @t75 @t74 @t70))) % 0.43/0.79 (define @t80 () (tptp.c_List_Otake @t58 @t5 @t1)) % 0.43/0.79 (define @t81 () (@var "V_t" $$unsorted)) % 0.43/0.79 (define @t82 () (@var "V_s" $$unsorted)) % 0.43/0.79 (define @t83 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t82)) % 0.43/0.79 (define @t84 () (tptp.hAPP @t83 @t81)) % 0.43/0.79 (define @t85 () (@list @t1 @t2)) % 0.43/0.79 (define @t86 () (@var "V_nat_H" $$unsorted)) % 0.43/0.79 (define @t87 () (tptp.c_Suc @t86)) % 0.43/0.79 (define @t88 () (@list @t86)) % 0.43/0.79 (define @t89 () (@var "V_m" $$unsorted)) % 0.43/0.79 (define @t90 () (tptp.c_Suc @t89)) % 0.43/0.79 (define @t91 () (@list @t89)) % 0.43/0.79 (define @t92 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.43/0.79 (define @t93 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.43/0.79 (define @t94 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.43/0.79 (define @t95 () (@list @t1)) % 0.43/0.79 (define @t96 () (tptp.c_HOL_Oord__class_Oless @t89 @t27 tptp.tc_nat)) % 0.43/0.79 (define @t97 () (not @t96)) % 0.43/0.79 (define @t98 () (tptp.c_HOL_Oord__class_Oless @t90 @t58 tptp.tc_nat)) % 0.43/0.79 (define @t99 () (@list @t89 @t27)) % 0.43/0.79 (define @t100 () (tptp.c_Suc @t8)) % 0.43/0.79 (define @t101 () (@var "V_r" $$unsorted)) % 0.43/0.79 (define @t102 () (tptp.c_Transitive__Closure_Ortranclp @t101 @t1)) % 0.43/0.79 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t27 @t90 tptp.tc_nat)) % 0.43/0.79 (define @t104 () (@list @t27 @t89)) % 0.43/0.79 (define @t105 () (not @t103)) % 0.43/0.79 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t8 @t100 tptp.tc_nat)) % 0.43/0.79 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t8 @t8 tptp.tc_nat)) % 0.43/0.79 (define @t108 () (@list @t8)) % 0.43/0.79 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t90 @t27 tptp.tc_nat)) % 0.43/0.79 (define @t110 () (= @t8 @t3)) % 0.43/0.79 (define @t111 () (@list @t1 @t8 @t3)) % 0.43/0.79 (define @t112 () (tptp.hAPP @t102 @t3)) % 0.43/0.79 (define @t113 () (tptp.hBOOL (tptp.hAPP @t112 @t8))) % 0.43/0.79 (define @t114 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t101 @t1 @t1) @t1) @t8) @t3))) % 0.43/0.79 (define @t115 () (@list @t101 @t1 @t8 @t3)) % 0.43/0.79 (define @t116 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.43/0.79 (define @t117 () (@var "V_b" $$unsorted)) % 0.43/0.79 (define @t118 () (@var "T_b" $$unsorted)) % 0.43/0.79 (define @t119 () (tptp.c_Predicate_Oconversep @t101 @t1 @t118)) % 0.43/0.79 (define @t120 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t119 @t51) @t117))) % 0.43/0.79 (define @t121 () (tptp.hAPP @t101 @t117)) % 0.43/0.79 (define @t122 () (tptp.hBOOL (tptp.hAPP @t121 @t51))) % 0.43/0.79 (define @t123 () (@var "V_a2" $$unsorted)) % 0.43/0.79 (define @t124 () (@var "V_a1" $$unsorted)) % 0.43/0.79 (define @t125 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t51) @t117)))) % 0.43/0.79 (define @t126 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t26 @t6))) % 0.43/0.79 (define @t127 () (tptp.c_List_Olist_OCons @t8 @t26 @t1)) % 0.43/0.79 (define @t128 () (tptp.c_Nat_Osize__class_Osize @t127 @t6)) % 0.43/0.79 (define @t129 () (@list @t8 @t26 @t1)) % 0.43/0.79 (define @t130 () (tptp.hAPP @t102 @t51)) % 0.43/0.79 (define @t131 () (tptp.hAPP @t102 @t8)) % 0.43/0.79 (define @t132 () (tptp.c_Wellfounded_Oaccp @t101 @t51 @t1)) % 0.43/0.79 (define @t133 () (not @t132)) % 0.43/0.79 (define @t134 () (tptp.hAPP @t102 @t117)) % 0.43/0.79 (define @t135 () (not (tptp.hBOOL (tptp.hAPP @t134 @t51)))) % 0.43/0.79 (define @t136 () (tptp.c_Wellfounded_Oaccp @t101 @t117 @t1)) % 0.43/0.79 (define @t137 () (@list @t101 @t117 @t1 @t51)) % 0.43/0.79 (define @t138 () (tptp.hBOOL (tptp.hAPP @t131 @t3))) % 0.43/0.79 (define @t139 () (@var "V_z" $$unsorted)) % 0.43/0.79 (define @t140 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t141 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t101))) % 0.43/0.79 (define @t142 () (@list @t101)) % 0.43/0.79 (define @t143 () (= @t89 @t27)) % 0.43/0.79 (define @t144 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t27 @t1)) % 0.43/0.79 (define @t145 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t89 @t1)) % 0.43/0.79 (define @t146 () (@list @t1 @t89 @t27)) % 0.43/0.79 (define @t147 () (@var "V_nat" $$unsorted)) % 0.43/0.79 (define @t148 () (= @t147 @t86)) % 0.43/0.79 (define @t149 () (@list @t147 @t86)) % 0.43/0.79 (define @t150 () (tptp.c_Suc @t36)) % 0.43/0.79 (define @t151 () (tptp.c_fequal @t1)) % 0.43/0.79 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t89 @t58 tptp.tc_nat)) % 0.43/0.79 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t27 @t89 tptp.tc_nat)) % 0.43/0.79 (define @t154 () (tptp.c_List_Orotate1 @t5 @t1)) % 0.43/0.79 (define @t155 () (@list @t27)) % 0.43/0.79 (define @t156 () (tptp.c_List_Oreplicate @t27 @t8 @t1)) % 0.43/0.79 (define @t157 () (@list @t27 @t8 @t1)) % 0.43/0.79 (define @t158 () (tptp.c_List_Orev @t5 @t1)) % 0.43/0.79 (define @t159 () (@var "V_c" $$unsorted)) % 0.43/0.79 (define @t160 () (tptp.hBOOL (tptp.hAPP @t130 @t159))) % 0.43/0.79 (define @t161 () (@list @t101 @t1 @t51 @t159 @t117)) % 0.43/0.79 (define @t162 () (tptp.hAPP @t101 @t3)) % 0.43/0.79 (define @t163 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.43/0.79 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t145 @t144 @t1)) % 0.43/0.79 (define @t165 () (= @t27 @t36)) % 0.43/0.79 (define @t166 () (tptp.c_Nat_Osize__class_Osize @t11 @t6)) % 0.43/0.79 (define @t167 () (@var "V_s_H" $$unsorted)) % 0.43/0.79 (define @t168 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t169 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t82) @t167)))) % 0.43/0.79 (define @t170 () (@var "V_t_H" $$unsorted)) % 0.43/0.79 (define @t171 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t81) @t170)))) % 0.43/0.79 (define @t172 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t167)) % 0.43/0.79 (define @t173 () (tptp.hAPP @t168 @t84)) % 0.43/0.79 (define @t174 () (tptp.c_Lambda_OdB_OAbs @t82)) % 0.43/0.79 (define @t175 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t27 tptp.tc_nat))) % 0.43/0.79 (define @t176 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t101) @t82)))) % 0.43/0.79 (define @t177 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 (tptp.c_Lambda_Osubst @t81 @t101 @t15)) (tptp.c_Lambda_Osubst @t81 @t82 @t15)))) % 0.43/0.79 (define @t178 () (@list @t81 @t101 @t15 @t82)) % 0.43/0.79 (define @t179 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t101) @t82)))) % 0.43/0.79 (define @t180 () (tptp.c_Lambda_Osubst @t82 @t81 @t15)) % 0.43/0.79 (define @t181 () (tptp.c_Lambda_Osubst @t101 @t81 @t15)) % 0.43/0.79 (define @t182 () (@list @t101 @t81 @t15 @t82)) % 0.43/0.79 (define @t183 () (@var "V_rs" $$unsorted)) % 0.43/0.79 (define @t184 () (tptp.c_Lambda_OdB_OVar @t27)) % 0.43/0.79 (define @t185 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t184 @t183 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t186 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t185) @t14)))) % 0.43/0.79 (define @t187 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t27 @t183 @t14)) % 0.43/0.79 (define @t188 () (@list @t5 @t1 @t2)) % 0.43/0.79 (define @t189 () (not (tptp.c_Type_Otyping @t75 @t81 @t70))) % 0.43/0.79 (define @t190 () (tptp.c_Type_Otyping @t75 @t170 @t70)) % 0.43/0.79 (define @t191 () (@list @t75 @t170 @t70 @t81)) % 0.43/0.79 (define @t192 () (tptp.c_List_Otake @t27 @t56 @t1)) % 0.43/0.79 (define @t193 () (= @t2 @t11)) % 0.43/0.79 (define @t194 () (@list @t5 @t2 @t1)) % 0.43/0.79 (define @t195 () (tptp.c_List_Ohd @t2 @t1)) % 0.43/0.79 (define @t196 () (tptp.c_List_Oappend @t11 @t2 @t1)) % 0.43/0.79 (define @t197 () (tptp.c_List_Oappend @t5 @t11 @t1)) % 0.43/0.79 (define @t198 () (tptp.c_List_Ohd @t5 @t1)) % 0.43/0.79 (define @t199 () (@list @t8 @t5 @t1 @t2)) % 0.43/0.79 (define @t200 () (tptp.c_Lambda_OdB_OVar @t8)) % 0.43/0.79 (define @t201 () (@list @t8 @t82)) % 0.43/0.79 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t93 @t144 @t1)) % 0.43/0.79 (define @t203 () (tptp.c_HOL_Oord__class_Oless @t36 @t27 tptp.tc_nat)) % 0.43/0.79 (define @t204 () (@list @t1 @t27)) % 0.43/0.79 (define @t205 () (@var "V_ss" $$unsorted)) % 0.43/0.79 (define @t206 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t207 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t208 () (@list @t101 @t205 @t82)) % 0.43/0.79 (define @t209 () (tptp.c_Lambda_OdB_OAbs @t101)) % 0.43/0.79 (define @t210 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t209) @t82) @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t211 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t101 @t82 @t36) @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t212 () (@list @t101 @t82 @t205)) % 0.43/0.79 (define @t213 () (tptp.c_List_Olist_OCons @t8 @t11 @t1)) % 0.43/0.79 (define @t214 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t215 () (= @t53 @t35)) % 0.43/0.79 (define @t216 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t8 @t5 @t2 @t53 @t1)) % 0.43/0.79 (define @t217 () (= (tptp.c_List_Oappend @t216 @t53 @t1) @t5)) % 0.43/0.79 (define @t218 () (tptp.c_List_Oappend @t2 @t53 @t1)) % 0.43/0.79 (define @t219 () (not (= @t218 @t35))) % 0.43/0.79 (define @t220 () (@list @t2 @t53 @t1 @t8 @t5)) % 0.43/0.79 (define @t221 () (= @t35 @t53)) % 0.43/0.79 (define @t222 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t8 @t5 @t2 @t53 @t1)) % 0.43/0.79 (define @t223 () (= (tptp.c_List_Olist_OCons @t8 @t222 @t1) @t2)) % 0.43/0.79 (define @t224 () (not (= @t35 @t218))) % 0.43/0.79 (define @t225 () (@list @t8 @t5 @t1 @t2 @t53)) % 0.43/0.79 (define @t226 () (= @t2 (tptp.c_List_Olist_OCons @t8 @t216 @t1))) % 0.43/0.79 (define @t227 () (= @t5 (tptp.c_List_Oappend @t222 @t53 @t1))) % 0.43/0.79 (define @t228 () (tptp.c_List_Orev @t213 @t1)) % 0.43/0.79 (define @t229 () (@list @t8 @t1)) % 0.43/0.79 (define @t230 () (= @t5 @t213)) % 0.43/0.79 (define @t231 () (tptp.c_List_Oreplicate @t36 @t8 @t1)) % 0.43/0.79 (define @t232 () (@list @t1 @t8)) % 0.43/0.79 (define @t233 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t174) @t81)) % 0.43/0.79 (define @t234 () (@list @t82 @t81)) % 0.43/0.79 (define @t235 () (not @t141)) % 0.43/0.79 (define @t236 () (@var "V_env" $$unsorted)) % 0.43/0.79 (define @t237 () (@var "V_dB_H" $$unsorted)) % 0.43/0.79 (define @t238 () (tptp.c_Lambda_OdB_OAbs @t237)) % 0.43/0.79 (define @t239 () (tptp.c_Lambda_OdB_OVar @t147)) % 0.43/0.79 (define @t240 () (tptp.c_List_Orev @t2 @t1)) % 0.43/0.79 (define @t241 () (tptp.c_List_Oappend @t5 @t8 @t1)) % 0.43/0.79 (define @t242 () (tptp.c_ListOrder_Ostep1 @t101 @t2 @t5 @t1)) % 0.43/0.79 (define @t243 () (not @t242)) % 0.43/0.79 (define @t244 () (@var "V_vs" $$unsorted)) % 0.43/0.79 (define @t245 () (@var "V_A" $$unsorted)) % 0.43/0.79 (define @t246 () (tptp.c_List_Olistsp @t245 @t29 @t1)) % 0.43/0.79 (define @t247 () (not @t246)) % 0.43/0.79 (define @t248 () (tptp.c_List_Olistsp @t245 @t5 @t1)) % 0.43/0.79 (define @t249 () (tptp.c_List_Olistsp @t245 @t2 @t1)) % 0.43/0.79 (define @t250 () (tptp.c_List_Oreplicate @t13 @t8 @t1)) % 0.43/0.79 (define @t251 () (@var "V_u" $$unsorted)) % 0.43/0.79 (define @t252 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t81) @t251)) % 0.43/0.79 (define @t253 () (@list @t81 @t251 @t82 @t13)) % 0.43/0.79 (define @t254 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t82) @t81)))) % 0.43/0.79 (define @t255 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t251)) % 0.43/0.79 (define @t256 () (@var "V_dB2" $$unsorted)) % 0.43/0.79 (define @t257 () (@var "V_dB1" $$unsorted)) % 0.43/0.79 (define @t258 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t257) @t256)) % 0.43/0.79 (define @t259 () (tptp.c_List_Orev @t11 @t1)) % 0.43/0.79 (define @t260 () (not (tptp.c_ListOrder_Ostep1 @t101 @t4 @t35 @t1))) % 0.43/0.79 (define @t261 () (tptp.hBOOL (tptp.hAPP @t162 @t8))) % 0.43/0.79 (define @t262 () (= @t5 @t2)) % 0.43/0.79 (define @t263 () (@list @t101 @t2 @t5 @t1 @t3 @t8)) % 0.43/0.79 (define @t264 () (not (= (tptp.c_List_Oreplicate @t89 @t8 @t1) (tptp.c_List_Oreplicate @t27 @t3 @t1)))) % 0.43/0.79 (define @t265 () (@list @t89 @t8 @t1 @t27 @t3)) % 0.43/0.79 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t3 @t8 @t1)) % 0.43/0.79 (define @t267 () (not @t266)) % 0.43/0.79 (define @t268 () (not (tptp.class_Orderings_Oorder @t1))) % 0.43/0.79 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t8 @t3 @t1)) % 0.43/0.79 (define @t270 () (not @t269)) % 0.43/0.79 (define @t271 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.43/0.79 (define @t272 () (tptp.c_List_Orev @t158 @t1)) % 0.43/0.79 (define @t273 () (@list @t2 @t1)) % 0.43/0.79 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t13 @t15 tptp.tc_nat)) % 0.43/0.79 (define @t275 () (= @t15 @t13)) % 0.43/0.79 (define @t276 () (@list @t15 @t82 @t13)) % 0.43/0.79 (define @t277 () (@var "V_dB" $$unsorted)) % 0.43/0.79 (define @t278 () (not (tptp.c_HOL_Oord__class_Oless @t8 @t8 @t1))) % 0.43/0.79 (define @t279 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.43/0.79 (define @t280 () (@list @t1 @t3 @t8)) % 0.43/0.79 (define @t281 () (@var "V_P" $$unsorted)) % 0.43/0.79 (define @t282 () (not (tptp.c_HOL_Oord__class_Oless @t117 @t51 @t1))) % 0.43/0.79 (define @t283 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t117 @t1))) % 0.43/0.79 (define @t284 () (@list @t147)) % 0.43/0.79 (define @t285 () (not (= @t206 @t209))) % 0.43/0.79 (define @t286 () (@list @t82 @t205 @t101)) % 0.43/0.79 (define @t287 () (= @t101 @t82)) % 0.43/0.79 (define @t288 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t183 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t174 @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.79 (define @t289 () (@list @t101 @t183 @t82 @t205)) % 0.43/0.79 (define @t290 () (= @t183 @t205)) % 0.43/0.79 (define @t291 () (not (= @t209 @t206))) % 0.43/0.79 (define @t292 () (tptp.c_Lambda_OdB_OVar @t20)) % 0.43/0.79 (define @t293 () (tptp.c_List_Oappend @t5 @t213 @t1)) % 0.43/0.79 (define @t294 () (@list @t5 @t8 @t1)) % 0.43/0.79 (define @t295 () (tptp.c_List_Olist_OCons @t3 @t11 @t1)) % 0.43/0.79 (define @t296 () (tptp.c_List_Oappend @t2 @t295 @t1)) % 0.43/0.79 (define @t297 () (not (tptp.c_ListOrder_Ostep1 @t101 @t296 @t293 @t1))) % 0.43/0.79 (define @t298 () (= @t3 @t8)) % 0.43/0.79 (define @t299 () (= @t2 @t5)) % 0.43/0.79 (define @t300 () (tptp.c_List_Oappend @t240 @t295 @t1)) % 0.43/0.79 (define @t301 () (tptp.c_List_Olist_ONil @t118)) % 0.43/0.79 (define @t302 () (tptp.c_List_Olist_OCons @t8 @t5 @t118)) % 0.43/0.79 (define @t303 () (tptp.c_List_Oreplicate @t15 @t8 @t1)) % 0.43/0.79 (define @t304 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t184 @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t305 () (= @t205 @t214)) % 0.43/0.79 (define @t306 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t214 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t307 () (= @t72 @t214)) % 0.43/0.79 (define @t308 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t101 @t82 @t81 @t72)) % 0.43/0.79 (define @t309 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t72 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t310 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t101) @t82)) % 0.43/0.79 (define @t311 () (not (= @t310 @t309))) % 0.43/0.79 (define @t312 () (@list @t101 @t82 @t81 @t72)) % 0.43/0.79 (define @t313 () (tptp.c_List_Olist_OCons @t82 @t214 tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t314 () (@var "V_xs1" $$unsorted)) % 0.43/0.79 (define @t315 () (@list @t5 @t2 @t1 @t53)) % 0.43/0.79 (define @t316 () (tptp.c_List_Oappend @t8 @t313 tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t317 () (tptp.c_List_Oappend @t11 @t11 @t1)) % 0.43/0.79 (define @t318 () (not (= @t293 @t296))) % 0.43/0.79 (define @t319 () (@list @t5 @t8 @t1 @t2 @t3)) % 0.43/0.79 (define @t320 () (tptp.c_Lambda_OdB_OVar @t89)) % 0.43/0.79 (define @t321 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t320 @t183 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t304))) % 0.43/0.79 (define @t322 () (@list @t89 @t183 @t27 @t205)) % 0.43/0.79 (define @t323 () (@var "V_list_H" $$unsorted)) % 0.43/0.79 (define @t324 () (@var "V_list" $$unsorted)) % 0.43/0.79 (define @t325 () (@var "V_a_H" $$unsorted)) % 0.43/0.79 (define @t326 () (tptp.c_List_Olist_OCons @t325 @t323 @t1)) % 0.43/0.79 (define @t327 () (not (= (tptp.c_List_Olist_OCons @t51 @t324 @t1) @t326))) % 0.43/0.79 (define @t328 () (@list @t51 @t324 @t1 @t325 @t323)) % 0.43/0.79 (define @t329 () (tptp.c_List_Oappend @t11 @t35 @t1)) % 0.43/0.79 (define @t330 () (@var "V_dB1_H" $$unsorted)) % 0.43/0.79 (define @t331 () (@var "V_dB2_H" $$unsorted)) % 0.43/0.79 (define @t332 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t330) @t331)) % 0.43/0.79 (define @t333 () (not (= @t258 @t332))) % 0.43/0.79 (define @t334 () (@list @t257 @t256 @t330 @t331)) % 0.43/0.79 (define @t335 () (not (= @t320 @t206))) % 0.43/0.79 (define @t336 () (@list @t89 @t82 @t205)) % 0.43/0.79 (define @t337 () (not (= @t29 @t11))) % 0.43/0.79 (define @t338 () (not (= @t11 @t29))) % 0.43/0.79 (define @t339 () (@list @t1 @t5 @t2)) % 0.43/0.79 (define @t340 () (@var "V_f" $$unsorted)) % 0.43/0.79 (define @t341 () (= @t2 @t53)) % 0.43/0.79 (define @t342 () (tptp.c_List_Olist_OCons @t8 (tptp.c_List_Oappend @t26 @t53 @t1) @t1)) % 0.43/0.79 (define @t343 () (tptp.c_List_Oappend @t127 @t53 @t1)) % 0.43/0.79 (define @t344 () (tptp.c_Lambda_Osubst tptp.v_r tptp.v_s @t36)) % 0.43/0.79 (define @t345 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t344 tptp.v_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.43/0.79 (define @t346 () (tptp.c_Lambda_OdB_OVar tptp.v_i)) % 0.43/0.79 (define @t347 () (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t345) @t346))) % 0.43/0.79 (define @t348 () (tptp.hBOOL @t347)) % 0.43/0.79 (define @t349 () (@var "T_1" $$unsorted)) % 0.43/0.79 (define @t350 () (@var "T_2" $$unsorted)) % 0.43/0.79 (define @t351 () (tptp.tc_fun @t350 @t349)) % 0.43/0.79 (define @t352 () (@list @t350 @t349)) % 0.43/0.79 (define @t353 () (@var "V_Y" $$unsorted)) % 0.43/0.79 (define @t354 () (@var "V_X" $$unsorted)) % 0.43/0.79 (assume @p1 (forall (@list @t5 @t8 @t2 @t1 @t3) (= (tptp.c_List_Olist__update @t10 @t7 @t3 @t1) (tptp.c_List_Oappend @t5 @t4 @t1)))) % 0.43/0.79 (assume @p2 (forall (@list @t5 @t13 @t8 @t1) (or (not (= (tptp.c_List_Olist__update @t5 @t13 @t8 @t1) @t11)) @t12))) % 0.43/0.79 (assume @p3 (forall (@list @t1 @t15 @t14) (= (tptp.c_List_Olist__update @t11 @t15 @t14 @t1) @t11))) % 0.43/0.79 (assume @p4 (forall (@list @t1 @t15 @t3) (= (tptp.c_List_Olist__update @t11 @t15 @t3 @t1) @t11))) % 0.43/0.79 (assume @p5 (forall (@list @t1 @t13 @t8) (= (tptp.c_List_Olist__update @t11 @t13 @t8 @t1) @t11))) % 0.43/0.79 (assume @p6 (forall @t19 (or (not (= @t18 @t5)) @t17 (= @t16 @t8)))) % 0.43/0.79 (assume @p7 (forall @t19 (= (tptp.c_Nat_Osize__class_Osize @t18 @t6) @t7))) % 0.43/0.79 (assume @p8 (forall @t23 (or @t22 @t21))) % 0.43/0.79 (assume @p9 (forall @t25 (or @t17 @t24))) % 0.43/0.79 (assume @p10 (forall (@list @t8 @t5 @t1 @t26) (or (not (tptp.c_HOL_Oord__class_Oless @t8 @t7 tptp.tc_nat)) (= (tptp.c_List_Onth (tptp.c_List_Olist__update @t5 @t8 @t26 @t1) @t8 @t1) @t26)))) % 0.43/0.79 (assume @p11 (forall @t19 (or (= (tptp.c_List_Onth @t18 @t15 @t1) @t8) @t17))) % 0.43/0.79 (assume @p12 (forall (@list @t5 @t2 @t1 @t27 @t8) (or (= (tptp.c_List_Olist__update @t29 @t27 @t8 @t1) (tptp.c_List_Oappend (tptp.c_List_Olist__update @t5 @t27 @t8 @t1) @t2 @t1)) @t28))) % 0.43/0.79 (assume @p13 (forall (@list @t5 @t2 @t1 @t15 @t8) (or (= (tptp.c_List_Olist__update @t29 @t15 @t8 @t1) (tptp.c_List_Oappend @t18 @t2 @t1)) @t17))) % 0.43/0.79 (assume @p14 (forall @t30 @t24)) % 0.43/0.79 (assume @p15 (forall (@list @t5 @t15 @t8 @t1 @t31 @t32) (or (= (tptp.c_List_Olist__update @t18 @t31 @t32 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t5 @t31 @t32 @t1) @t15 @t8 @t1)) (= @t15 @t31)))) % 0.43/0.79 (assume @p16 (forall (@list @t8 @t5 @t1 @t15 @t3) (= (tptp.c_List_Olist__update @t35 @t34 @t3 @t1) (tptp.c_List_Olist_OCons @t8 @t33 @t1)))) % 0.43/0.79 (assume @p17 (forall @t23 (or @t22 @t21 @t17))) % 0.43/0.79 (assume @p18 (forall (@list @t5 @t15 @t8 @t1 @t3) (= (tptp.c_List_Olist__update @t18 @t15 @t3 @t1) @t33))) % 0.43/0.79 (assume @p19 (forall (@list @t8 @t5 @t1 @t3) (= (tptp.c_List_Olist__update @t35 @t36 @t3 @t1) (tptp.c_List_Olist_OCons @t3 @t5 @t1)))) % 0.43/0.79 (assume @p20 (forall @t40 (or (= @t39 @t37) @t28 @t12))) % 0.43/0.79 (assume @p21 (forall @t30 (or (= @t42 (tptp.c_List_Odrop @t15 @t5 @t1)) @t17))) % 0.43/0.79 (assume @p22 (forall @t40 (= (tptp.c_List_Oappend @t43 @t38 @t1) @t5))) % 0.43/0.79 (assume @p23 (forall @t44 (= (tptp.c_List_Odrop @t36 @t35 @t1) @t35))) % 0.43/0.79 (assume @p24 (forall (@list @t46 @t1 @t47 @t45) (or (not (= (tptp.c_List_Oappend (tptp.c_List_Odrop @t50 @t47 @t1) @t49 @t1) @t45)) (not (= (tptp.c_List_Otake @t50 @t47 @t1) @t46)) (not (= @t47 (tptp.c_List_Otake @t48 @t46 @t1))) (= (tptp.c_List_Oappend @t47 @t49 @t1) (tptp.c_List_Oappend @t46 @t45 @t1))))) % 0.43/0.79 (assume @p25 (forall (@list @t27 @t5 @t1 @t3 @t2) (or (not (= @t38 @t4)) (= @t37 @t3)))) % 0.43/0.79 (assume @p26 (forall (@list @t5 @t15 @t51 @t1) (or (= (tptp.c_List_Olist__update @t5 @t15 @t51 @t1) (tptp.c_List_Oappend @t52 (tptp.c_List_Olist_OCons @t51 @t41 @t1) @t1)) @t17))) % 0.43/0.79 (assume @p27 (forall (@list @t5 @t1 @t53) (or (not (= @t5 (tptp.c_List_Otake @t7 @t53 @t1))) (= (tptp.c_List_Oappend @t5 (tptp.c_List_Odrop @t7 @t53 @t1) @t1) @t53)))) % 0.43/0.79 (assume @p28 (forall @t40 (or (= (tptp.c_List_Olast @t38 @t1) @t54) @t28))) % 0.43/0.79 (assume @p29 (forall @t40 (= @t57 @t55))) % 0.43/0.79 (assume @p30 (forall @t59 (= (tptp.c_List_Odrop @t58 @t35 @t1) @t38))) % 0.43/0.79 (assume @p31 (forall @t40 (= @t62 @t60))) % 0.43/0.79 (assume @p32 (forall @t40 (= @t55 @t57))) % 0.43/0.79 (assume @p33 (forall @t63 (= @t2 (tptp.c_List_Odrop @t7 @t29 @t1)))) % 0.43/0.79 (assume @p34 (forall @t44 (= (tptp.c_List_Odrop @t64 @t35 @t1) @t5))) % 0.43/0.79 (assume @p35 (forall @t40 (= @t60 @t62))) % 0.43/0.79 (assume @p36 (forall @t40 (= (tptp.c_List_Odrop @t58 @t5 @t1) @t57))) % 0.43/0.79 (assume @p37 (forall @t65 (= (tptp.c_List_Odrop @t36 @t5 @t1) @t5))) % 0.43/0.79 (assume @p38 (forall @t68 (or @t67 (= (tptp.c_List_Odrop @t66 @t35 @t1) @t35)))) % 0.43/0.79 (assume @p39 (forall @t69 (= (tptp.c_List_Odrop @t27 @t11 @t1) @t11))) % 0.43/0.79 (assume @p40 (forall (@list @t75 @t71 @t70 @t77 @t15 @t72 @t76) (or (tptp.c_Type_Otypings @t75 @t71 (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t70 @t77 @t75 @t71)) @t78 (not (tptp.c_Type_Otypings @t75 @t72 @t76)) (not (tptp.c_Type_Otyping @t75 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t74 @t71 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t70))))) % 0.43/0.79 (assume @p41 (forall (@list @t75 @t72 @t70 @t15) (or (tptp.c_Type_Otypings @t75 @t72 (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t70 @t75 @t15 @t72)) @t79))) % 0.43/0.79 (assume @p42 (forall @t30 (or (= @t5 (tptp.c_List_Oappend @t52 @t42 @t1)) @t17))) % 0.43/0.79 (assume @p43 (forall @t40 (or (= (tptp.c_List_Oappend @t43 (tptp.c_List_Olist_OCons @t39 @t11 @t1) @t1) @t80) @t28))) % 0.43/0.79 (assume @p44 (forall (@list @t27 @t82 @t81 @t13) (= (tptp.c_Lambda_Oliftn @t27 @t84 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t27 @t82 @t13)) (tptp.c_Lambda_Oliftn @t27 @t81 @t13))))) % 0.43/0.79 (assume @p45 (forall (@list @t5 @t8 @t2 @t1) (= (tptp.c_List_Onth @t10 @t7 @t1) @t8))) % 0.43/0.79 (assume @p46 (forall @t85 (= (tptp.c_List_Osplice @t11 @t2 @t1) @t2))) % 0.43/0.79 (assume @p47 (forall @t65 (= (tptp.c_List_Osplice @t5 @t11 @t1) @t5))) % 0.43/0.79 (assume @p48 (forall (@list @t8 @t5 @t1 @t3 @t2) (= (tptp.c_List_Osplice @t35 @t4 @t1) (tptp.c_List_Olist_OCons @t8 (tptp.c_List_Olist_OCons @t3 (tptp.c_List_Osplice @t5 @t2 @t1) @t1) @t1)))) % 0.43/0.79 (assume @p49 (forall @t68 (or @t67 (= (tptp.c_List_Onth @t35 @t66 @t1) @t8)))) % 0.43/0.79 (assume @p50 (forall @t88 (not (= @t36 @t87)))) % 0.43/0.79 (assume @p51 (forall @t91 (not (= @t36 @t90)))) % 0.43/0.79 (assume @p52 (forall @t88 (not (= @t87 @t36)))) % 0.43/0.79 (assume @p53 (forall @t91 (not (= @t90 @t36)))) % 0.43/0.79 (assume @p54 (forall (@list @t81 @t13) (= (tptp.c_Lambda_Oliftn @t36 @t81 @t13) @t81))) % 0.43/0.79 (assume @p55 (forall @t95 (or @t94 (not (= @t93 @t92))))) % 0.43/0.79 (assume @p56 (forall @t95 (or @t94 (not (= @t92 @t93))))) % 0.43/0.79 (assume @p57 (forall @t99 (or @t98 @t97))) % 0.43/0.79 (assume @p58 (forall @t99 (or @t96 (not @t98)))) % 0.43/0.79 (assume @p59 (forall (@list @t8 @t27) (or (tptp.c_HOL_Oord__class_Oless @t100 @t58 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t8 @t27 tptp.tc_nat))))) % 0.43/0.79 (assume @p60 (forall (@list @t101 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t102 @t1) @t102))) % 0.43/0.79 (assume @p61 (forall @t104 (or @t103 @t96))) % 0.43/0.79 (assume @p62 (forall @t99 (or @t97 @t105))) % 0.43/0.79 (assume @p63 (forall @t108 (or @t107 @t106))) % 0.43/0.79 (assume @p64 (forall @t99 (or @t109 (= @t90 @t27) @t97))) % 0.43/0.79 (assume @p65 (forall @t111 (or (not (tptp.class_Int_Oring__char__0 @t1)) (not (tptp.class_Int_Onumber__ring @t1)) (not (= (tptp.c_Int_Onumber__class_Onumber__of @t8 @t1) (tptp.c_Int_Onumber__class_Onumber__of @t3 @t1))) @t110))) % 0.43/0.79 (assume @p66 (forall @t115 (or @t114 (not @t113)))) % 0.43/0.79 (assume @p67 (forall (@list @t101 @t1 @t3 @t8) (or @t113 (not @t114)))) % 0.43/0.79 (assume @p68 (forall @t95 (or @t116 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t64 @t1) @t92)))) % 0.43/0.79 (assume @p69 (forall (@list @t101 @t117 @t51 @t1 @t118) (or @t122 (not @t120)))) % 0.43/0.79 (assume @p70 (forall (@list @t101 @t1 @t118 @t51 @t117) (or @t120 (not @t122)))) % 0.43/0.79 (assume @p71 (forall (@list @t101 @t123 @t124 @t1 @t118) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t123) @t124)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t119 @t124) @t123)))))) % 0.43/0.79 (assume @p72 (forall (@list @t101 @t1 @t118 @t117 @t51) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t119 @t117) @t51)) @t125))) % 0.43/0.79 (assume @p73 (forall @t129 (= @t128 @t126))) % 0.43/0.79 (assume @p74 (forall (@list @t26 @t1 @t8) (= @t126 @t128))) % 0.43/0.79 (assume @p75 (forall (@list @t101 @t1 @t51) (tptp.hBOOL (tptp.hAPP @t130 @t51)))) % 0.43/0.79 (assume @p76 (forall (@list @t101 @t1 @t8) (tptp.hBOOL (tptp.hAPP @t131 @t8)))) % 0.43/0.79 (assume @p77 (forall @t137 (or @t136 @t135 @t133))) % 0.43/0.79 (assume @p78 (forall @t137 (or @t136 @t133 @t135))) % 0.43/0.79 (assume @p79 (forall (@list @t101 @t1 @t8 @t139 @t3) (or (tptp.hBOOL (tptp.hAPP @t131 @t139)) (not (tptp.hBOOL (tptp.hAPP @t112 @t139))) (not @t138)))) % 0.43/0.79 (assume @p80 (forall (@list @t81) (or (tptp.c_Wellfounded_Oaccp @t140 @t81 tptp.tc_Lambda_OdB) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t81)))))) % 0.43/0.79 (assume @p81 (forall @t142 (or @t141 (not (tptp.c_Wellfounded_Oaccp @t140 @t101 tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p82 (forall (@list @t5 @t2 @t1 @t27) (or (= (tptp.c_List_Onth @t29 @t27 @t1) @t37) @t28))) % 0.43/0.79 (assume @p83 (forall @t146 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t145 @t144)) @t143))) % 0.43/0.79 (assume @p84 (forall (@list @t8 @t3) (or (not (= @t100 (tptp.c_Suc @t3))) @t110))) % 0.43/0.79 (assume @p85 (forall @t149 (or (not (= (tptp.c_Suc @t147) @t87)) @t148))) % 0.43/0.79 (assume @p86 (= @t64 @t150)) % 0.43/0.79 (assume @p87 (forall @t115 (or @t138 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t101 @t8) @t3)))))) % 0.43/0.79 (assume @p88 (forall @t95 (= (tptp.c_Predicate_Oconversep @t151 @t1 @t1) @t151))) % 0.43/0.79 (assume @p89 (forall @t99 (or @t143 @t96 (not @t152)))) % 0.43/0.79 (assume @p90 (forall @t99 (or @t143 @t105 @t153))) % 0.43/0.79 (assume @p91 (forall @t104 (or (= @t27 @t89) @t105 @t153))) % 0.43/0.79 (assume @p92 (forall @t65 (= (tptp.c_Nat_Osize__class_Osize @t154 @t6) @t7))) % 0.43/0.79 (assume @p93 (forall @t155 (tptp.c_HOL_Oord__class_Oless @t27 @t58 tptp.tc_nat))) % 0.43/0.79 (assume @p94 (forall @t108 @t106)) % 0.43/0.79 (assume @p95 (forall (@list @t15 @t13 @t20) (or (tptp.c_HOL_Oord__class_Oless @t34 @t13 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t20 @t13 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t15 @t20 tptp.tc_nat))))) % 0.43/0.79 (assume @p96 (forall @t157 (= (tptp.c_Nat_Osize__class_Osize @t156 @t6) @t27))) % 0.43/0.79 (assume @p97 (forall (@list @t101 @t1 @t118) (= (tptp.c_Predicate_Oconversep @t119 @t118 @t1) @t101))) % 0.43/0.79 (assume @p98 (forall (@list @t8 @t5 @t1 @t27) (= (tptp.c_List_Onth @t35 @t58 @t1) @t37))) % 0.43/0.79 (assume @p99 (forall @t155 (not (= @t58 @t27)))) % 0.43/0.79 (assume @p100 (forall @t155 (not (= @t27 @t58)))) % 0.43/0.79 (assume @p101 (forall @t99 (or @t96 (not @t109)))) % 0.43/0.79 (assume @p102 (forall @t99 (or @t152 @t97))) % 0.43/0.79 (assume @p103 (forall @t65 (or (= @t7 (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t56 @t6))) @t12))) % 0.43/0.79 (assume @p104 (forall @t65 (= (tptp.c_Nat_Osize__class_Osize @t158 @t6) @t7))) % 0.43/0.79 (assume @p105 (forall @t161 (or @t160 (not (tptp.hBOOL (tptp.hAPP @t134 @t159))) @t125))) % 0.43/0.79 (assume @p106 (forall @t161 (or @t160 (not (tptp.hBOOL (tptp.hAPP @t121 @t159))) (not (tptp.hBOOL (tptp.hAPP @t130 @t117)))))) % 0.43/0.79 (assume @p107 (forall (@list @t101 @t3 @t1 @t51) (or (tptp.c_Wellfounded_Oaccp @t101 @t3 @t1) (not (tptp.hBOOL (tptp.hAPP @t162 @t51))) @t133))) % 0.43/0.79 (assume @p108 (forall (@list @t101 @t51 @t1 @t117) (or @t132 @t125 (not @t136)))) % 0.43/0.79 (assume @p109 (forall @t25 (or (= (tptp.c_List_Otake @t34 @t5 @t1) (tptp.c_List_Oappend @t52 (tptp.c_List_Olist_OCons @t16 @t11 @t1) @t1)) @t17))) % 0.43/0.79 (assume @p110 (forall (@list @t1 @t89) (or @t163 (not (tptp.c_HOL_Oord__class_Oless @t145 @t93 @t1))))) % 0.43/0.79 (assume @p111 (forall @t95 (or @t163 (not (tptp.c_HOL_Oord__class_Oless @t92 @t93 @t1))))) % 0.43/0.79 (assume @p112 (forall @t95 (or @t163 (tptp.c_HOL_Oord__class_Oless @t93 @t92 @t1)))) % 0.43/0.79 (assume @p113 (forall @t95 (or @t116 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t36 @t1) @t93)))) % 0.43/0.79 (assume @p114 (forall @t146 (or @t163 @t164 @t97))) % 0.43/0.79 (assume @p115 (forall @t146 (or @t163 @t96 (not @t164)))) % 0.43/0.79 (assume @p116 (forall @t44 (= (tptp.c_List_Onth @t35 @t36 @t1) @t8))) % 0.43/0.79 (assume @p117 (forall @t108 (tptp.c_HOL_Oord__class_Oless @t36 @t100 tptp.tc_nat))) % 0.43/0.79 (assume @p118 (forall @t155 (tptp.c_HOL_Oord__class_Oless @t36 @t58 tptp.tc_nat))) % 0.43/0.79 (assume @p119 (forall @t155 (or @t165 (not (tptp.c_HOL_Oord__class_Oless @t27 @t150 tptp.tc_nat))))) % 0.43/0.79 (assume @p120 (tptp.c_HOL_Oord__class_Oless @t36 @t150 tptp.tc_nat)) % 0.43/0.79 (assume @p121 (forall @t95 (= @t166 @t36))) % 0.43/0.79 (assume @p122 (forall @t65 (or (not (= @t7 @t36)) @t12))) % 0.43/0.79 (assume @p123 (forall @t44 (= (tptp.c_List_Osplice @t35 @t11 @t1) @t35))) % 0.43/0.79 (assume @p124 (forall (@list @t82 @t81 @t167 @t170) (or (tptp.hBOOL (tptp.hAPP @t173 (tptp.hAPP @t172 @t170))) @t171 @t169))) % 0.43/0.79 (assume @p125 (forall (@list @t82 @t81 @t167) (or (tptp.hBOOL (tptp.hAPP @t173 (tptp.hAPP @t172 @t81))) @t169))) % 0.43/0.79 (assume @p126 (forall (@list @t82 @t81 @t170) (or (tptp.hBOOL (tptp.hAPP @t173 (tptp.hAPP @t83 @t170))) @t171))) % 0.43/0.79 (assume @p127 (forall (@list @t82 @t167) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t174) (tptp.c_Lambda_OdB_OAbs @t167))) @t169))) % 0.43/0.79 (assume @p128 (forall @t59 (= (tptp.c_List_Otake @t58 @t35 @t1) (tptp.c_List_Olist_OCons @t8 @t43 @t1)))) % 0.43/0.79 (assume @p129 (forall (@list @t27 @t15 @t13) (or (= (tptp.c_Lambda_Oliftn @t27 @t73 @t13) @t73) (not (tptp.c_HOL_Oord__class_Oless @t15 @t13 tptp.tc_nat))))) % 0.43/0.79 (assume @p130 (forall (@list @t27 @t5 @t1 @t15) (or (= (tptp.c_List_Onth @t43 @t15 @t1) @t16) @t175))) % 0.43/0.79 (assume @p131 (forall @t178 (or @t177 @t176))) % 0.43/0.79 (assume @p132 (forall @t182 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t181) @t180)) @t179))) % 0.43/0.79 (assume @p133 (forall @t178 (or @t177 @t179))) % 0.43/0.79 (assume @p134 (forall (@list @t183 @t27 @t14) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t183 @t187 tptp.tc_Lambda_OdB) @t186))) % 0.43/0.79 (assume @p135 (forall @t188 (= @t5 (tptp.c_List_Otake @t7 @t29 @t1)))) % 0.43/0.79 (assume @p136 (forall @t157 (= (tptp.c_List_Oreplicate @t58 @t8 @t1) (tptp.c_List_Olist_OCons @t8 @t156 @t1)))) % 0.43/0.79 (assume @p137 (forall (@list @t27 @t8 @t1 @t15) (or (= (tptp.c_List_Onth @t156 @t15 @t1) @t8) @t175))) % 0.43/0.79 (assume @p138 (forall @t191 (or @t190 @t189 @t171))) % 0.43/0.79 (assume @p139 (forall @t40 (= @t192 (tptp.c_List_Otl @t80 @t1)))) % 0.43/0.79 (assume @p140 (forall @t194 (or (= (tptp.c_List_Obutlast @t29 @t1) (tptp.c_List_Oappend @t5 (tptp.c_List_Obutlast @t2 @t1) @t1)) @t193))) % 0.43/0.79 (assume @p141 (forall @t85 (= (tptp.c_List_Ohd @t196 @t1) @t195))) % 0.43/0.79 (assume @p142 (forall @t65 (= (tptp.c_List_Olast @t197 @t1) @t54))) % 0.43/0.79 (assume @p143 (forall @t194 (or (= (tptp.c_List_Olast @t29 @t1) (tptp.c_List_Olast @t2 @t1)) @t193))) % 0.43/0.79 (assume @p144 (forall @t40 (or (= @t80 (tptp.c_List_Olist_OCons @t198 @t192 @t1)) @t12))) % 0.43/0.79 (assume @p145 (forall @t199 (or (= (tptp.c_List_Osplice @t35 @t2 @t1) (tptp.c_List_Olist_OCons @t8 (tptp.c_List_Olist_OCons @t195 (tptp.c_List_Osplice @t5 (tptp.c_List_Otl @t2 @t1) @t1) @t1) @t1)) @t193))) % 0.43/0.79 (assume @p146 (forall @t201 (or @t107 (= (tptp.c_Lambda_Osubstn @t200 @t82 @t8) (tptp.c_Lambda_Oliftn @t8 @t82 @t36))))) % 0.43/0.79 (assume @p147 (forall (@list @t14 @t27 @t183) (or (= @t14 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t184 @t187 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t186))) % 0.43/0.79 (assume @p148 (forall @t68 (or @t67 (= (tptp.c_List_Otake @t66 @t35 @t1) @t11)))) % 0.43/0.79 (assume @p149 (forall @t204 (or @t163 @t203 (not @t202)))) % 0.43/0.79 (assume @p150 (forall @t204 (or @t163 @t202 (not @t203)))) % 0.43/0.79 (assume @p151 (forall (@list @t81 @t82 @t27) (= (tptp.c_Lambda_Osubstn @t81 @t82 @t27) (tptp.c_Lambda_Osubst @t81 (tptp.c_Lambda_Oliftn @t27 @t82 @t36) @t27)))) % 0.43/0.79 (assume @p152 (forall @t40 (or (= (tptp.c_List_Otake @t27 @t61 @t1) @t43) @t28))) % 0.43/0.79 (assume @p153 (forall @t65 (or (= @t198 (tptp.c_List_Onth @t5 @t36 @t1)) @t12))) % 0.43/0.79 (assume @p154 (forall @t208 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t168 @t207) @t206)) @t179))) % 0.43/0.79 (assume @p155 (forall (@list @t101 @t183 @t205) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t183 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t207)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t183 @t205 tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p156 (forall @t212 (or (not (tptp.c_Wellfounded_Oaccp @t140 @t211 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t140 @t82 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t140 @t210 tptp.tc_Lambda_OdB)))) % 0.43/0.79 (assume @p157 (forall @t44 (= (tptp.c_List_Otake @t64 @t35 @t1) @t213))) % 0.43/0.79 (assume @p158 (forall @t65 (or (tptp.c_HOL_Oord__class_Oless @t36 @t7 tptp.tc_nat) @t12))) % 0.43/0.79 (assume @p159 (forall @t95 (not (tptp.c_HOL_Oord__class_Oless @t36 @t166 tptp.tc_nat)))) % 0.43/0.79 (assume @p160 (forall (@list @t75 @t81 @t76 @t72) (or (tptp.c_Type_Otyping @t75 @t81 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t76 @t75 @t81 @t72)) (not (tptp.c_Type_Otypings @t75 (tptp.c_List_Oappend @t72 (tptp.c_List_Olist_OCons @t81 @t214 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t76))))) % 0.43/0.79 (assume @p161 (forall @t220 (or @t219 @t217 @t215))) % 0.43/0.79 (assume @p162 (forall @t225 (or @t224 @t223 @t221))) % 0.43/0.79 (assume @p163 (forall @t220 (or @t219 @t226 @t215))) % 0.43/0.79 (assume @p164 (forall @t225 (or @t224 @t227 @t221))) % 0.43/0.79 (assume @p165 (forall (@list @t27 @t8 @t1 @t5) (= (tptp.c_List_Oappend @t156 @t35 @t1) (tptp.c_List_Olist_OCons @t8 (tptp.c_List_Oappend @t156 @t5 @t1) @t1)))) % 0.43/0.79 (assume @p166 (forall @t229 (= @t213 @t228))) % 0.43/0.79 (assume @p167 (forall @t44 (or (= (tptp.c_List_Olast @t35 @t1) @t54) @t12))) % 0.43/0.79 (assume @p168 (forall @t229 (= @t228 @t213))) % 0.43/0.79 (assume @p169 (forall (@list @t8 @t1 @t5) (or (not (= @t213 @t158)) @t230))) % 0.43/0.79 (assume @p170 (forall (@list @t5 @t1 @t8) (or (not (= @t158 @t213)) @t230))) % 0.43/0.79 (assume @p171 (forall @t229 (= (tptp.c_List_Obutlast @t213 @t1) @t11))) % 0.43/0.79 (assume @p172 (forall @t229 (= (tptp.c_List_Olast @t213 @t1) @t8))) % 0.43/0.79 (assume @p173 (forall @t44 (or (= (tptp.c_List_Obutlast @t35 @t1) (tptp.c_List_Olist_OCons @t8 @t61 @t1)) @t12))) % 0.43/0.79 (assume @p174 (forall @t229 (= @t231 @t11))) % 0.43/0.79 (assume @p175 (forall @t40 (or (not (= @t43 @t11)) @t12 @t165))) % 0.43/0.79 (assume @p176 (forall @t232 (= @t11 @t231))) % 0.43/0.79 (assume @p177 (forall @t65 (= (tptp.c_List_Otake @t36 @t5 @t1) @t11))) % 0.43/0.79 (assume @p178 (forall @t157 (or (not (= @t156 @t11)) @t165))) % 0.43/0.79 (assume @p179 (forall (@list @t1 @t27 @t8) (or (not (= @t11 @t156)) @t165))) % 0.43/0.79 (assume @p180 (forall @t234 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t233) (tptp.c_Lambda_Osubst @t82 @t81 @t36))))) % 0.43/0.79 (assume @p181 (forall @t65 (or (= (tptp.c_List_Oappend @t61 (tptp.c_List_Olist_OCons @t54 @t11 @t1) @t1) @t5) @t12))) % 0.43/0.79 (assume @p182 (forall @t142 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t209)) @t235))) % 0.43/0.79 (assume @p183 (forall (@list @t236 @t8) (tptp.c_Type_Otyping @t236 @t200 (tptp.hAPP @t236 @t8)))) % 0.43/0.79 (assume @p184 (forall (@list @t75 @t15 @t70) (or (= (tptp.hAPP @t75 @t15) @t70) (not (tptp.c_Type_Otyping @t75 @t73 @t70))))) % 0.43/0.79 (assume @p185 (forall (@list @t147 @t237) (not (= @t239 @t238)))) % 0.43/0.79 (assume @p186 (forall (@list @t15 @t81) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t73) @t81))))) % 0.43/0.79 (assume @p187 (forall (@list @t237 @t147) (not (= @t238 @t239)))) % 0.43/0.79 (assume @p188 (forall @t182 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t181) @t180)) @t176))) % 0.43/0.79 (assume @p189 (forall @t194 (= (tptp.c_List_Orev @t29 @t1) (tptp.c_List_Oappend @t240 @t158 @t1)))) % 0.43/0.79 (assume @p190 (forall (@list @t101 @t2 @t5 @t1 @t8) (or @t243 (tptp.c_ListOrder_Ostep1 @t101 (tptp.c_List_Oappend @t2 @t8 @t1) @t241 @t1)))) % 0.43/0.79 (assume @p191 (forall (@list @t101 @t8 @t244 @t1 @t71) (or (tptp.c_ListOrder_Ostep1 @t101 (tptp.c_List_Oappend @t8 @t244 @t1) (tptp.c_List_Oappend @t8 @t71 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t101 @t244 @t71 @t1))))) % 0.43/0.79 (assume @p192 (forall (@list @t245 @t5 @t1 @t2) (or @t248 @t247))) % 0.43/0.79 (assume @p193 (forall (@list @t245 @t2 @t1 @t5) (or @t249 @t247))) % 0.43/0.79 (assume @p194 (forall (@list @t27 @t8 @t1 @t13) (= (tptp.c_List_Oappend @t156 @t250 @t1) (tptp.c_List_Oappend @t250 @t156 @t1)))) % 0.43/0.79 (assume @p195 (forall (@list @t245 @t5 @t2 @t1) (or @t246 (not @t249) (not @t248)))) % 0.43/0.79 (assume @p196 (forall @t253 (= (tptp.c_Lambda_Osubstn @t252 @t82 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t81 @t82 @t13)) (tptp.c_Lambda_Osubstn @t251 @t82 @t13))))) % 0.43/0.79 (assume @p197 (forall (@list @t82 @t251 @t81) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t83 @t251)) @t252)) @t254))) % 0.43/0.79 (assume @p198 (forall (@list @t251 @t82 @t81) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t255 @t82)) (tptp.hAPP @t255 @t81))) @t254))) % 0.43/0.79 (assume @p199 (forall (@list @t237 @t257 @t256) (not (= @t238 @t258)))) % 0.43/0.79 (assume @p200 (forall (@list @t257 @t256 @t237) (not (= @t258 @t238)))) % 0.43/0.79 (assume @p201 (forall @t65 (or (= @t154 (tptp.c_List_Oappend @t56 (tptp.c_List_Olist_OCons @t198 @t11 @t1) @t1)) @t12))) % 0.43/0.79 (assume @p202 (forall @t95 (= @t259 @t11))) % 0.43/0.79 (assume @p203 (forall @t65 (or (not (= @t158 @t11)) @t12))) % 0.43/0.79 (assume @p204 (forall @t95 (= (tptp.c_List_Orotate1 @t11 @t1) @t11))) % 0.43/0.79 (assume @p205 (forall (@list @t245 @t1) (tptp.c_List_Olistsp @t245 @t11 @t1))) % 0.43/0.79 (assume @p206 (forall @t69 (= (tptp.c_List_Otake @t27 @t11 @t1) @t11))) % 0.43/0.79 (assume @p207 (forall @t65 (or (not (= @t154 @t11)) @t12))) % 0.43/0.79 (assume @p208 (forall (@list @t101 @t1 @t5) (not (tptp.c_ListOrder_Ostep1 @t101 @t11 @t5 @t1)))) % 0.43/0.79 (assume @p209 (forall (@list @t101 @t5 @t1) (not (tptp.c_ListOrder_Ostep1 @t101 @t5 @t11 @t1)))) % 0.43/0.79 (assume @p210 (forall (@list @t1 @t5) (or (not (= @t11 @t158)) @t12))) % 0.43/0.79 (assume @p211 (forall @t95 (= (tptp.c_List_Otl @t11 @t1) @t11))) % 0.43/0.79 (assume @p212 (forall @t95 (= (tptp.c_List_Obutlast @t11 @t1) @t11))) % 0.43/0.79 (assume @p213 (forall @t95 (= @t11 @t259))) % 0.43/0.79 (assume @p214 (forall (@list @t8 @t3 @t101 @t2 @t1 @t5) (or @t110 @t261 @t260))) % 0.43/0.79 (assume @p215 (forall (@list @t8 @t3 @t5 @t2 @t101 @t1) (or @t110 @t262 @t260))) % 0.43/0.79 (assume @p216 (forall (@list @t101 @t3 @t26 @t8 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t162 @t26))) (tptp.c_ListOrder_Ostep1 @t101 (tptp.c_List_Olist_OCons @t3 @t8 @t1) (tptp.c_List_Olist_OCons @t26 @t8 @t1) @t1)))) % 0.43/0.79 (assume @p217 (forall @t263 (or @t242 @t262 @t260))) % 0.43/0.79 (assume @p218 (forall @t44 (= (tptp.c_List_Otl @t35 @t1) @t5))) % 0.43/0.79 (assume @p219 (forall @t263 (or @t242 @t261 @t260))) % 0.43/0.79 (assume @p220 (forall (@list @t101 @t8 @t2 @t1 @t5) (or (tptp.c_ListOrder_Ostep1 @t101 @t9 @t35 @t1) @t243))) % 0.43/0.79 (assume @p221 (forall @t44 (= (tptp.c_List_Ohd @t35 @t1) @t8))) % 0.43/0.79 (assume @p222 (forall @t265 (or @t264 @t110 (= @t89 @t36)))) % 0.43/0.79 (assume @p223 (forall (@list @t8 @t1 @t3) (= @t231 (tptp.c_List_Oreplicate @t36 @t3 @t1)))) % 0.43/0.79 (assume @p224 (forall @t155 (not (tptp.c_HOL_Oord__class_Oless @t27 @t36 tptp.tc_nat)))) % 0.43/0.79 (assume @p225 (forall @t91 (not (tptp.c_HOL_Oord__class_Oless @t89 @t36 tptp.tc_nat)))) % 0.43/0.79 (assume @p226 (forall @t155 (or @t203 @t165))) % 0.43/0.79 (assume @p227 (not (tptp.c_HOL_Oord__class_Oless @t36 @t36 tptp.tc_nat))) % 0.43/0.79 (assume @p228 (forall @t234 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t174) (tptp.c_Lambda_OdB_OAbs @t81))) @t254))) % 0.43/0.79 (assume @p229 (forall @t157 (or (= (tptp.c_List_Olast @t156 @t1) @t8) @t165))) % 0.43/0.79 (assume @p230 (forall (@list @t1 @t139 @t8 @t3) (or @t268 (tptp.c_HOL_Oord__class_Oless @t139 @t8 @t1) (not (tptp.c_HOL_Oord__class_Oless @t139 @t3 @t1)) @t267))) % 0.43/0.79 (assume @p231 (forall (@list @t1 @t8 @t139 @t3) (or @t271 (tptp.c_HOL_Oord__class_Oless @t8 @t139 @t1) (not (tptp.c_HOL_Oord__class_Oless @t3 @t139 @t1)) @t270))) % 0.43/0.79 (assume @p232 (forall @t65 (or (= (tptp.c_List_Olast @t158 @t1) @t198) @t12))) % 0.43/0.79 (assume @p233 (forall @t265 (or @t264 @t143))) % 0.43/0.79 (assume @p234 (forall @t65 (= @t5 @t272))) % 0.43/0.79 (assume @p235 (forall @t273 (= (tptp.c_List_Orev @t240 @t1) @t2))) % 0.43/0.79 (assume @p236 (forall @t65 (= @t272 @t5))) % 0.43/0.79 (assume @p237 (forall @t157 (= (tptp.c_List_Orev @t156 @t1) @t156))) % 0.43/0.79 (assume @p238 (forall @t65 (or (= (tptp.c_List_Ohd @t158 @t1) @t54) @t12))) % 0.43/0.79 (assume @p239 (forall @t157 (or (= (tptp.c_List_Ohd @t156 @t1) @t8) @t165))) % 0.43/0.79 (assume @p240 (forall @t276 (or (= (tptp.c_Lambda_Osubstn @t73 @t82 @t13) @t73) @t275 @t274))) % 0.43/0.79 (assume @p241 (forall (@list @t277 @t237) (or (not (= (tptp.c_Lambda_OdB_OAbs @t277) @t238)) (= @t277 @t237)))) % 0.43/0.79 (assume @p242 (forall @t108 (not @t107))) % 0.43/0.79 (assume @p243 (forall @t155 (not (tptp.c_HOL_Oord__class_Oless @t27 @t27 tptp.tc_nat)))) % 0.43/0.79 (assume @p244 (forall @t232 (or @t268 @t278))) % 0.43/0.79 (assume @p245 (forall @t232 (or @t279 @t278))) % 0.43/0.79 (assume @p246 (forall @t232 (or @t271 @t278))) % 0.43/0.79 (assume @p247 (forall @t280 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t266 @t269 @t110))) % 0.43/0.79 (assume @p248 (forall @t111 (or @t279 @t110 @t266 @t269))) % 0.43/0.79 (assume @p249 (forall @t104 (or @t153 @t96 @t143))) % 0.43/0.79 (assume @p250 (forall (@list @t281 @t27 @t89) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t281 @t27) @t89)) @t153 @t143 @t96))) % 0.43/0.79 (assume @p251 (forall (@list @t3 @t8) (or (tptp.c_HOL_Oord__class_Oless @t3 @t8 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t8 @t3 tptp.tc_nat) @t110))) % 0.43/0.79 (assume @p252 (forall @t280 (or @t279 @t266 @t269 @t110))) % 0.43/0.79 (assume @p253 (forall @t280 (or @t279 @t266 @t110 @t269))) % 0.43/0.79 (assume @p254 (forall @t111 (or @t279 @t110 @t269 @t266))) % 0.43/0.79 (assume @p255 (forall @t188 (or (not (= @t158 @t240)) @t262))) % 0.43/0.79 (assume @p256 (forall @t191 (or @t190 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t81) @t170))) @t189))) % 0.43/0.79 (assume @p257 (forall (@list @t1 @t51 @t117) (or @t268 @t283 @t282))) % 0.43/0.79 (assume @p258 (forall @t111 (or @t279 @t270 @t267))) % 0.43/0.79 (assume @p259 (forall @t280 (or @t271 @t267 @t270))) % 0.43/0.79 (assume @p260 (forall (@list @t1 @t117 @t51) (or @t271 @t282 @t283))) % 0.43/0.79 (assume @p261 (forall @t194 (or (= (tptp.c_List_Otl @t29 @t1) (tptp.c_List_Oappend @t56 @t2 @t1)) @t12))) % 0.43/0.79 (assume @p262 (forall @t65 (= (tptp.c_List_Obutlast @t197 @t1) @t61))) % 0.43/0.79 (assume @p263 (forall @t194 (or (= (tptp.c_List_Ohd @t29 @t1) @t198) @t12))) % 0.43/0.79 (assume @p264 (forall (@list @t81 @t82) (= (tptp.c_Lambda_Osubstn @t81 @t82 @t36) (tptp.c_Lambda_Osubst @t81 @t82 @t36)))) % 0.43/0.79 (assume @p265 (forall @t284 (= (tptp.c_Nat_Osize__class_Osize @t239 tptp.tc_Lambda_OdB) @t36))) % 0.43/0.79 (assume @p266 (forall @t284 (= (tptp.c_Lambda_OdB_OdB__size @t239) @t36))) % 0.43/0.79 (assume @p267 (forall @t286 (or @t285 (= @t82 @t209)))) % 0.43/0.79 (assume @p268 (forall @t289 (or @t288 @t287))) % 0.43/0.79 (assume @p269 (forall @t289 (or @t288 @t290))) % 0.43/0.79 (assume @p270 (forall @t208 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t207) @t206)) @t176))) % 0.43/0.79 (assume @p271 (forall @t212 (or @t291 (= @t209 @t82)))) % 0.43/0.79 (assume @p272 (forall (@list @t20 @t251 @t15) (or (= (tptp.c_Lambda_Osubst @t292 @t251 @t15) @t292) (not (tptp.c_HOL_Oord__class_Oless @t20 @t15 tptp.tc_nat))))) % 0.43/0.79 (assume @p273 (forall @t276 (or (= (tptp.c_Lambda_Osubst @t73 @t82 @t13) @t73) @t275 @t274))) % 0.43/0.79 (assume @p274 (forall @t201 (or @t107 (= (tptp.c_Lambda_Osubst @t200 @t82 @t8) @t82)))) % 0.43/0.79 (assume @p275 (forall @t44 (= (tptp.c_List_Otake @t36 @t35 @t1) @t11))) % 0.43/0.79 (assume @p276 (forall @t225 (or @t224 @t227 @t193))) % 0.43/0.79 (assume @p277 (forall @t220 (or @t219 @t226 @t193))) % 0.43/0.79 (assume @p278 (forall @t294 (= (tptp.c_List_Olast @t293 @t1) @t8))) % 0.43/0.79 (assume @p279 (forall @t294 (= (tptp.c_List_Obutlast @t293 @t1) @t5))) % 0.43/0.79 (assume @p280 (forall (@list @t2 @t5 @t3 @t8 @t101 @t1) (or @t299 @t298 @t297))) % 0.43/0.79 (assume @p281 (forall (@list @t101 @t3 @t8 @t2 @t1 @t5) (or @t261 @t298 @t297))) % 0.43/0.79 (assume @p282 (forall @t220 (or @t219 @t217 @t193))) % 0.43/0.79 (assume @p283 (forall @t225 (or @t224 @t223 @t193))) % 0.43/0.79 (assume @p284 (forall @t44 (= (tptp.c_List_Orev @t35 @t1) (tptp.c_List_Oappend @t158 @t213 @t1)))) % 0.43/0.79 (assume @p285 (forall (@list @t101 @t3 @t8 @t2 @t5 @t1) (or @t261 @t242 @t297))) % 0.43/0.79 (assume @p286 (forall (@list @t5 @t1 @t3 @t2) (or (not (= @t158 @t4)) (= @t5 @t300)))) % 0.43/0.79 (assume @p287 (forall (@list @t2 @t1 @t3) (= (tptp.c_List_Orev @t300 @t1) @t4))) % 0.43/0.79 (assume @p288 (forall (@list @t8 @t5 @t118) (= (tptp.c_List_Orotate1 @t302 @t118) (tptp.c_List_Oappend @t5 (tptp.c_List_Olist_OCons @t8 @t301 @t118) @t118)))) % 0.43/0.79 (assume @p289 (forall (@list @t2 @t5 @t101 @t1 @t3 @t8) (or @t299 @t242 @t297))) % 0.43/0.79 (assume @p290 (forall (@list @t15 @t8 @t1) (= (tptp.c_List_Oappend @t303 @t213 @t1) (tptp.c_List_Olist_OCons @t8 @t303 @t1)))) % 0.43/0.79 (assume @p291 (forall (@list @t70 @t77 @t75 @t15 @t72) (or (= @t70 @t77) @t78 @t79))) % 0.43/0.79 (assume @p292 (forall (@list @t27 @t72 @t101 @t205) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t184 @t72 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t209 @t205 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p293 (forall (@list @t82 @t81 @t27 @t205) (not (= @t233 @t304)))) % 0.43/0.79 (assume @p294 (forall @t212 (or @t291 @t305))) % 0.43/0.79 (assume @p295 (forall @t142 (= @t209 @t306))) % 0.43/0.79 (assume @p296 (forall @t312 (or @t311 (= @t101 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t308 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t307))) % 0.43/0.79 (assume @p297 (forall @t286 (or @t285 @t305))) % 0.43/0.79 (assume @p298 (forall @t142 (= @t306 @t209))) % 0.43/0.79 (assume @p299 (forall (@list @t27 @t183) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t185)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t183 tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p300 (forall @t212 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t210)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t82))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t211)))))) % 0.43/0.79 (assume @p301 (forall @t312 (or @t311 (= @t72 (tptp.c_List_Oappend @t308 @t313 tptp.tc_Lambda_OdB)) @t307))) % 0.43/0.79 (assume @p302 (forall (@list @t5 @t8 @t72 @t1) (= (tptp.c_List_Oappend @t5 (tptp.c_List_Oappend @t8 @t72 @t1) @t1) (tptp.c_List_Oappend @t241 @t72 @t1)))) % 0.43/0.79 (assume @p303 (forall (@list @t53 @t8 @t1 @t2) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t53 @t8 @t1) @t2 @t1) (tptp.c_List_Oappend @t53 (tptp.c_List_Oappend @t8 @t2 @t1) @t1)))) % 0.43/0.79 (assume @p304 (forall (@list @t5 @t314 @t71 @t1) (= (tptp.c_List_Oappend @t5 (tptp.c_List_Oappend @t314 @t71 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t5 @t314 @t1) @t71 @t1)))) % 0.43/0.79 (assume @p305 (forall @t315 (= (tptp.c_List_Oappend @t29 @t53 @t1) (tptp.c_List_Oappend @t5 @t218 @t1)))) % 0.43/0.79 (assume @p306 (forall (@list @t8 @t82 @t81) (or (= @t316 @t214) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t82) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t316 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p307 (forall @t95 (= @t317 @t11))) % 0.43/0.79 (assume @p308 (forall (@list @t101 @t82) (= @t310 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 @t214 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.79 (assume @p309 (forall @t319 (or @t318 @t110))) % 0.43/0.79 (assume @p310 (forall @t319 (or @t318 @t262))) % 0.43/0.79 (assume @p311 (forall @t253 (= (tptp.c_Lambda_Osubst @t252 @t82 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t81 @t82 @t13)) (tptp.c_Lambda_Osubst @t251 @t82 @t13))))) % 0.43/0.79 (assume @p312 (forall @t149 (or (not (= @t239 (tptp.c_Lambda_OdB_OVar @t86))) @t148))) % 0.43/0.79 (assume @p313 (forall (@list @t81 @t72 @t251) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t309) @t251) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 (tptp.c_List_Oappend @t72 (tptp.c_List_Olist_OCons @t251 @t214 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.79 (assume @p314 (forall @t322 (or @t321 @t143))) % 0.43/0.79 (assume @p315 (forall @t322 (or @t321 @t290))) % 0.43/0.79 (assume @p316 (forall @t328 (or @t327 (= @t324 @t323)))) % 0.43/0.79 (assume @p317 (forall @t328 (or @t327 (= @t51 @t325)))) % 0.43/0.79 (assume @p318 (forall (@list @t13 @t251) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t13) @t251 @t13) @t251))) % 0.43/0.79 (assume @p319 (forall (@list @t1 @t8 @t5) (= @t329 @t35))) % 0.43/0.79 (assume @p320 (forall @t63 (or (not (= @t2 @t29)) @t12))) % 0.43/0.79 (assume @p321 (forall @t194 (or (not (= @t29 @t2)) @t12))) % 0.43/0.79 (assume @p322 (forall @t194 (or (not (= @t5 @t29)) @t193))) % 0.43/0.79 (assume @p323 (forall @t194 (or (not (= @t29 @t5)) @t193))) % 0.43/0.79 (assume @p324 (forall (@list @t101 @t15 @t20) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t101 @t73 @t20))) @t235))) % 0.43/0.79 (assume @p325 (forall (@list @t101 @t82 @t81) (or (not (= @t310 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t214 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t310 @t81)))) % 0.43/0.79 (assume @p326 (forall (@list @t1 @t325 @t323) (not (= @t11 @t326)))) % 0.43/0.79 (assume @p327 (forall @t334 (or @t333 (= @t257 @t330)))) % 0.43/0.79 (assume @p328 (forall @t334 (or @t333 (= @t256 @t331)))) % 0.43/0.79 (assume @p329 (forall @t336 (or @t335 (= @t320 @t82)))) % 0.43/0.79 (assume @p330 (forall (@list @t147 @t330 @t331) (not (= @t239 @t332)))) % 0.43/0.79 (assume @p331 (forall @t194 (or @t337 @t193))) % 0.43/0.79 (assume @p332 (forall @t194 (or @t337 @t12))) % 0.43/0.79 (assume @p333 (forall (@list @t101 @t82 @t26) (or (not (= @t101 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 @t26 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t310 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t310 (tptp.c_List_Oappend @t26 @t313 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p334 (forall @t339 (or @t338 @t193))) % 0.43/0.79 (assume @p335 (forall @t339 (or @t338 @t12))) % 0.43/0.79 (assume @p336 (forall (@list @t340 @t51 @t118 @t1) (= (tptp.c_List_Ofoldl @t340 @t51 @t301 @t1 @t118) @t51))) % 0.43/0.79 (assume @p337 (forall @t155 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t184)))) % 0.43/0.79 (assume @p338 (forall @t273 (= @t2 @t196))) % 0.43/0.79 (assume @p339 (forall @t85 (= @t196 @t2))) % 0.43/0.79 (assume @p340 (forall @t65 (= @t5 @t197))) % 0.43/0.79 (assume @p341 (forall @t229 (= @t8 (tptp.c_List_Oappend @t11 @t8 @t1)))) % 0.43/0.79 (assume @p342 (forall @t65 (= @t197 @t5))) % 0.43/0.79 (assume @p343 (forall @t315 (or (not (= @t29 (tptp.c_List_Oappend @t5 @t53 @t1))) @t341))) % 0.43/0.79 (assume @p344 (forall (@list @t2 @t5 @t1 @t53) (or (not (= (tptp.c_List_Oappend @t2 @t5 @t1) (tptp.c_List_Oappend @t53 @t5 @t1))) @t341))) % 0.43/0.79 (assume @p345 (forall @t91 (= @t320 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t320 @t214 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.43/0.79 (assume @p346 (forall (@list @t340 @t51 @t8 @t5 @t118 @t1) (= (tptp.c_List_Ofoldl @t340 @t51 @t302 @t1 @t118) (tptp.c_List_Ofoldl @t340 (tptp.hAPP (tptp.hAPP @t340 @t51) @t8) @t5 @t1 @t118)))) % 0.43/0.79 (assume @p347 (forall (@list @t8 @t26 @t1 @t53) (= @t343 @t342))) % 0.43/0.79 (assume @p348 (forall @t199 (= (tptp.c_List_Oappend @t35 @t2 @t1) (tptp.c_List_Olist_OCons @t8 @t29 @t1)))) % 0.43/0.79 (assume @p349 (forall (@list @t8 @t26 @t53 @t1) (= @t342 @t343))) % 0.43/0.79 (assume @p350 (forall (@list @t8 @t314 @t53 @t1) (= (tptp.c_List_Olist_OCons @t8 (tptp.c_List_Oappend @t314 @t53 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t8 @t314 @t1) @t53 @t1)))) % 0.43/0.79 (assume @p351 (forall @t129 (not (= @t127 @t11)))) % 0.43/0.79 (assume @p352 (forall (@list @t325 @t323 @t1) (not (= @t326 @t11)))) % 0.43/0.79 (assume @p353 (forall (@list @t101 @t72 @t82) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t101 @t72 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t72 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t287))) % 0.43/0.79 (assume @p354 (forall (@list @t8 @t81 @t1) (not (= (tptp.c_List_Olist_OCons @t8 @t81 @t1) @t81)))) % 0.43/0.79 (assume @p355 (forall @t294 (not (= @t5 @t35)))) % 0.43/0.79 (assume @p356 (forall @t336 (or @t335 @t305))) % 0.43/0.79 (assume @p357 (forall @t44 (= @t35 @t329))) % 0.43/0.79 (assume @p358 (forall @t95 (= @t11 @t317))) % 0.43/0.79 (assume @p359 (forall (@list @t340 @t51 @t5 @t2 @t118 @t1) (= (tptp.c_List_Ofoldl @t340 @t51 (tptp.c_List_Oappend @t5 @t2 @t118) @t1 @t118) (tptp.c_List_Ofoldl @t340 (tptp.c_List_Ofoldl @t340 @t51 @t5 @t1 @t118) @t2 @t1 @t118)))) % 0.43/0.79 (assume @p360 (forall (@list @t330 @t331 @t147) (not (= @t332 @t239)))) % 0.43/0.79 (assume @p361 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t345))) % 0.43/0.79 (assume @p362 @t348) % 0.43/0.79 (assume @p363 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_s))) % 0.43/0.79 (assume @p364 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp tptp.v_s) @t346)))) % 0.43/0.79 (assume @p365 (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t344 (tptp.c_List_Oappend tptp.v_ss (tptp.c_List_Olist_OCons @t346 @t214 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.43/0.79 (assume @p366 (forall @t352 (or (tptp.class_Orderings_Opreorder @t351) (not (tptp.class_Orderings_Opreorder @t349))))) % 0.43/0.79 (assume @p367 (forall @t352 (or (tptp.class_Orderings_Oorder @t351) (not (tptp.class_Orderings_Oorder @t349))))) % 0.43/0.79 (assume @p368 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.43/0.79 (assume @p369 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.43/0.79 (assume @p370 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.43/0.79 (assume @p371 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.43/0.79 (assume @p372 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.43/0.79 (assume @p373 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.43/0.79 (assume @p374 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.43/0.79 (assume @p375 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.43/0.79 (assume @p376 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.43/0.79 (assume @p377 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p378 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p379 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p380 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p381 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p382 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p383 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p384 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p385 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p386 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.43/0.79 (assume @p387 (forall @t232 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t8) @t8)))) % 0.43/0.79 (assume @p388 (forall (@list @t354 @t353 @t1) (or (= @t354 @t353) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t151 @t354) @t353)))))) % 0.43/0.79 (step @p389 :rule evaluate :args ((= true false))) % 0.43/0.80 (step @p390 :rule false_intro :premises (@p365)) % 0.43/0.80 (step @p391 :rule instantiate :premises (@p313) :args ((@list @t344 tptp.v_ss @t346))) % 0.43/0.80 (step @p392 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.43/0.80 (step @p393 :rule cong :premises (@p392 @p391) :args (@t347)) % 0.43/0.80 (step @p394 :rule cong :premises (@p393) :args (@t348)) % 0.43/0.80 (step @p395 :rule true_intro :premises (@p362)) % 0.43/0.80 (step @p396 :rule symm :premises (@p395)) % 0.43/0.80 (step @p397 :rule trans :premises (@p396 @p394 @p390)) % 0.43/0.80 (step @p398 false :rule eq_resolve :premises (@p397 @p389)) % 0.43/0.80 ) % 0.43/0.80 % SZS output end Proof % 0.26/0.80 % cvc5 exiting %------------------------------------------------------------------------------