%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL789-1 : 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 : n005.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 11:23:51 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL789-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n005.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 23:13:50 UTC 2026 % 0.08/0.36 % CPUTime : % 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.62 % SZS status Unsatisfiable % 0.29/0.62 % SZS output start Proof % 0.36/0.65 ( % 0.36/0.65 (declare-sort $$unsorted 0) % 0.36/0.65 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_T_H____ $$unsorted) % 0.36/0.65 (declare-const tptp.v_e____ $$unsorted) % 0.36/0.65 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.v_ea______ $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.tc_nat $$unsorted) % 0.36/0.65 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_a____ $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.36/0.65 (declare-const tptp.v_Ts____ $$unsorted) % 0.36/0.65 (declare-const tptp.v_n____ $$unsorted) % 0.36/0.65 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_ua______ $$unsorted) % 0.36/0.65 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.36/0.65 (declare-const tptp.v_u____ $$unsorted) % 0.36/0.65 (declare-const tptp.v_T____ $$unsorted) % 0.36/0.65 (declare-const tptp.t_a $$unsorted) % 0.36/0.65 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_rs____ $$unsorted) % 0.36/0.65 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.36/0.65 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_as____ $$unsorted) % 0.36/0.65 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.v_i____ $$unsorted) % 0.36/0.65 (declare-const tptp.v_ia______ $$unsorted) % 0.36/0.65 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.36/0.65 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.36/0.65 (define @t1 () (@var "V_y" $$unsorted)) % 0.36/0.65 (define @t2 () (@var "V_x" $$unsorted)) % 0.36/0.65 (define @t3 () (= @t2 @t1)) % 0.36/0.65 (define @t4 () (@var "T_a" $$unsorted)) % 0.36/0.65 (define @t5 () (not (tptp.class_Int_Onumber__ring @t4))) % 0.36/0.65 (define @t6 () (@list @t4 @t2 @t1)) % 0.36/0.65 (define @t7 () (@var "V_Ts" $$unsorted)) % 0.36/0.65 (define @t8 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t9 () (@var "V_t" $$unsorted)) % 0.36/0.65 (define @t10 () (@var "V_ts" $$unsorted)) % 0.36/0.65 (define @t11 () (@var "V_e" $$unsorted)) % 0.36/0.65 (define @t12 () (@var "V_xs" $$unsorted)) % 0.36/0.65 (define @t13 () (tptp.c_List_Orev @t12 @t4)) % 0.36/0.65 (define @t14 () (@var "V_ys" $$unsorted)) % 0.36/0.65 (define @t15 () (tptp.c_List_Orev @t14 @t4)) % 0.36/0.65 (define @t16 () (tptp.c_List_Oappend @t12 @t14 @t4)) % 0.36/0.65 (define @t17 () (@list @t12 @t14 @t4)) % 0.36/0.65 (define @t18 () (tptp.c_List_Olist_ONil @t4)) % 0.36/0.65 (define @t19 () (tptp.c_List_Orev @t18 @t4)) % 0.36/0.65 (define @t20 () (@list @t4)) % 0.36/0.65 (define @t21 () (= @t10 @t8)) % 0.36/0.65 (define @t22 () (@var "V_s" $$unsorted)) % 0.36/0.65 (define @t23 () (tptp.c_List_Olist_OCons @t22 @t8 tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t24 () (@var "V_r" $$unsorted)) % 0.36/0.65 (define @t25 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t24 @t22 @t9 @t10)) % 0.36/0.65 (define @t26 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t10 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t27 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t24) @t22)) % 0.36/0.65 (define @t28 () (not (= @t27 @t26))) % 0.36/0.65 (define @t29 () (@list @t24 @t22 @t9 @t10)) % 0.36/0.65 (define @t30 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.36/0.65 (define @t31 () (@var "V_m" $$unsorted)) % 0.36/0.65 (define @t32 () (@var "V_n" $$unsorted)) % 0.36/0.65 (define @t33 () (not (= (tptp.c_List_Oreplicate @t31 @t2 @t4) (tptp.c_List_Oreplicate @t32 @t1 @t4)))) % 0.36/0.65 (define @t34 () (@list @t31 @t2 @t4 @t32 @t1)) % 0.36/0.65 (define @t35 () (= @t12 @t18)) % 0.36/0.65 (define @t36 () (@list @t12 @t4)) % 0.36/0.65 (define @t37 () (tptp.c_List_Oreplicate @t30 @t2 @t4)) % 0.36/0.65 (define @t38 () (= @t32 @t30)) % 0.36/0.65 (define @t39 () (tptp.c_List_Oreplicate @t32 @t2 @t4)) % 0.36/0.65 (define @t40 () (@list @t32 @t2 @t4)) % 0.36/0.65 (define @t41 () (tptp.c_List_Olist_OCons @t2 @t12 @t4)) % 0.36/0.65 (define @t42 () (tptp.c_List_Olist_OCons @t1 @t14 @t4)) % 0.36/0.65 (define @t43 () (not (tptp.c_ListOrder_Ostep1 @t24 @t42 @t41 @t4))) % 0.36/0.65 (define @t44 () (tptp.hAPP @t24 @t1)) % 0.36/0.65 (define @t45 () (tptp.hBOOL (tptp.hAPP @t44 @t2))) % 0.36/0.65 (define @t46 () (tptp.c_Transitive__Closure_Ortranclp @t24 @t4)) % 0.36/0.65 (define @t47 () (tptp.hAPP @t46 @t1)) % 0.36/0.65 (define @t48 () (tptp.hBOOL (tptp.hAPP @t47 @t2))) % 0.36/0.65 (define @t49 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t24 @t4 @t4) @t4) @t2) @t1))) % 0.36/0.65 (define @t50 () (@list @t24 @t4 @t2 @t1)) % 0.36/0.65 (define @t51 () (@var "V_b" $$unsorted)) % 0.36/0.65 (define @t52 () (@var "V_a" $$unsorted)) % 0.36/0.65 (define @t53 () (@var "T_b" $$unsorted)) % 0.36/0.65 (define @t54 () (tptp.c_Predicate_Oconversep @t24 @t4 @t53)) % 0.36/0.65 (define @t55 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t52) @t51))) % 0.36/0.65 (define @t56 () (tptp.hAPP @t24 @t51)) % 0.36/0.65 (define @t57 () (tptp.hBOOL (tptp.hAPP @t56 @t52))) % 0.36/0.65 (define @t58 () (@var "V_a2" $$unsorted)) % 0.36/0.65 (define @t59 () (@var "V_a1" $$unsorted)) % 0.36/0.65 (define @t60 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t52) @t51)))) % 0.36/0.65 (define @t61 () (tptp.c_HOL_Oplus__class_Oplus @t4)) % 0.36/0.65 (define @t62 () (tptp.c_HOL_Ozero__class_Ozero @t4)) % 0.36/0.65 (define @t63 () (tptp.c_Power_Opower_Opower @t62 @t61 @t52 @t32 @t4)) % 0.36/0.65 (define @t64 () (tptp.hAPP @t61 @t63)) % 0.36/0.65 (define @t65 () (tptp.hAPP @t61 @t52)) % 0.36/0.65 (define @t66 () (tptp.hAPP @t65 @t51)) % 0.36/0.65 (define @t67 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t4))) % 0.36/0.65 (define @t68 () (tptp.c_List_Oappend @t12 @t2 @t4)) % 0.36/0.65 (define @t69 () (tptp.c_ListOrder_Ostep1 @t24 @t14 @t12 @t4)) % 0.36/0.65 (define @t70 () (not @t69)) % 0.36/0.65 (define @t71 () (@var "V_us" $$unsorted)) % 0.36/0.65 (define @t72 () (@var "V_vs" $$unsorted)) % 0.36/0.65 (define @t73 () (= @t12 @t14)) % 0.36/0.65 (define @t74 () (@var "V_xa" $$unsorted)) % 0.36/0.65 (define @t75 () (= @t31 @t32)) % 0.36/0.65 (define @t76 () (tptp.c_Wellfounded_Oaccp @t24 @t52 @t4)) % 0.36/0.65 (define @t77 () (not @t76)) % 0.36/0.65 (define @t78 () (tptp.hAPP @t46 @t51)) % 0.36/0.65 (define @t79 () (not (tptp.hBOOL (tptp.hAPP @t78 @t52)))) % 0.36/0.65 (define @t80 () (tptp.c_Wellfounded_Oaccp @t24 @t51 @t4)) % 0.36/0.65 (define @t81 () (@list @t24 @t51 @t4 @t52)) % 0.36/0.65 (define @t82 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t9)))) % 0.36/0.65 (define @t83 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t84 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t24))) % 0.36/0.65 (define @t85 () (@list @t24)) % 0.36/0.65 (define @t86 () (tptp.c_List_Orev @t13 @t4)) % 0.36/0.65 (define @t87 () (@list @t14 @t4)) % 0.36/0.65 (define @t88 () (tptp.c_fequal @t4)) % 0.36/0.65 (define @t89 () (@list @t24 @t14 @t12 @t4 @t1 @t2)) % 0.36/0.65 (define @t90 () (tptp.c_List_Olistsum @t12 @t4)) % 0.36/0.65 (define @t91 () (tptp.hAPP @t61 @t2)) % 0.36/0.65 (define @t92 () (not (tptp.class_OrderedGroup_Omonoid__add @t4))) % 0.36/0.65 (define @t93 () (@list @t4 @t2 @t12)) % 0.36/0.65 (define @t94 () (@var "V_k" $$unsorted)) % 0.36/0.65 (define @t95 () (tptp.c_List_Oreplicate @t94 @t2 @t4)) % 0.36/0.65 (define @t96 () (@list @t4 @t12)) % 0.36/0.65 (define @t97 () (@var "V_one" $$unsorted)) % 0.36/0.65 (define @t98 () (@var "V_times" $$unsorted)) % 0.36/0.65 (define @t99 () (@var "V_u" $$unsorted)) % 0.36/0.65 (define @t100 () (@list @t4 @t12 @t14)) % 0.36/0.65 (define @t101 () (tptp.c_List_Oappend @t2 @t23 tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t102 () (@var "V_v" $$unsorted)) % 0.36/0.65 (define @t103 () (tptp.c_Int_Onumber__class_Onumber__of @t102 tptp.tc_nat)) % 0.36/0.65 (define @t104 () (tptp.c_List_Olast @t12 @t4)) % 0.36/0.65 (define @t105 () (tptp.c_List_Obutlast @t12 @t4)) % 0.36/0.65 (define @t106 () (@list @t2 @t4)) % 0.36/0.65 (define @t107 () (@list @t4 @t2)) % 0.36/0.65 (define @t108 () (tptp.c_List_Olist_OCons @t2 @t18 @t4)) % 0.36/0.65 (define @t109 () (tptp.c_List_Orev @t108 @t4)) % 0.36/0.65 (define @t110 () (@list @t2 @t12 @t4)) % 0.36/0.65 (define @t111 () (= @t12 @t108)) % 0.36/0.65 (define @t112 () (@var "V_zs" $$unsorted)) % 0.36/0.65 (define @t113 () (= @t112 @t41)) % 0.36/0.65 (define @t114 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t2 @t12 @t14 @t112 @t4)) % 0.36/0.65 (define @t115 () (= (tptp.c_List_Oappend @t114 @t112 @t4) @t12)) % 0.36/0.65 (define @t116 () (tptp.c_List_Oappend @t14 @t112 @t4)) % 0.36/0.65 (define @t117 () (not (= @t116 @t41))) % 0.36/0.65 (define @t118 () (@list @t14 @t112 @t4 @t2 @t12)) % 0.36/0.65 (define @t119 () (= @t41 @t112)) % 0.36/0.65 (define @t120 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t2 @t12 @t14 @t112 @t4)) % 0.36/0.65 (define @t121 () (= (tptp.c_List_Olist_OCons @t2 @t120 @t4) @t14)) % 0.36/0.65 (define @t122 () (not (= @t41 @t116))) % 0.36/0.65 (define @t123 () (@list @t2 @t12 @t4 @t14 @t112)) % 0.36/0.65 (define @t124 () (= @t14 (tptp.c_List_Olist_OCons @t2 @t114 @t4))) % 0.36/0.65 (define @t125 () (= @t12 (tptp.c_List_Oappend @t120 @t112 @t4))) % 0.36/0.65 (define @t126 () (tptp.c_List_Oappend @t12 @t18 @t4)) % 0.36/0.65 (define @t127 () (= @t14 @t18)) % 0.36/0.65 (define @t128 () (@var "V_ss" $$unsorted)) % 0.36/0.65 (define @t129 () (@var "V_rs" $$unsorted)) % 0.36/0.65 (define @t130 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t24 @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t131 () (tptp.c_List_Oappend @t12 @t108 @t4)) % 0.36/0.65 (define @t132 () (@list @t12 @t2 @t4)) % 0.36/0.65 (define @t133 () (tptp.c_List_Olist_OCons @t1 @t18 @t4)) % 0.36/0.65 (define @t134 () (tptp.c_List_Oappend @t14 @t133 @t4)) % 0.36/0.65 (define @t135 () (not (tptp.c_ListOrder_Ostep1 @t24 @t134 @t131 @t4))) % 0.36/0.65 (define @t136 () (= @t1 @t2)) % 0.36/0.65 (define @t137 () (= @t14 @t12)) % 0.36/0.65 (define @t138 () (tptp.c_List_Oappend @t15 @t133 @t4)) % 0.36/0.65 (define @t139 () (tptp.c_List_Olist_ONil @t53)) % 0.36/0.65 (define @t140 () (tptp.c_List_Olist_OCons @t2 @t12 @t53)) % 0.36/0.65 (define @t141 () (@var "V_i" $$unsorted)) % 0.36/0.65 (define @t142 () (tptp.c_List_Oreplicate @t141 @t2 @t4)) % 0.36/0.65 (define @t143 () (@var "V_T" $$unsorted)) % 0.36/0.65 (define @t144 () (tptp.c_Lambda_Osubst @t9 @t99 @t141)) % 0.36/0.65 (define @t145 () (@var "V_e_H" $$unsorted)) % 0.36/0.65 (define @t146 () (@var "V_U" $$unsorted)) % 0.36/0.65 (define @t147 () (tptp.c_List_Ofoldl @t61 @t52 @t12 @t4 @t4)) % 0.36/0.65 (define @t148 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t4))) % 0.36/0.65 (define @t149 () (not @t84)) % 0.36/0.65 (define @t150 () (@var "V_j" $$unsorted)) % 0.36/0.65 (define @t151 () (tptp.c_Lambda_OdB_OVar @t141)) % 0.36/0.65 (define @t152 () (@var "V_t_H" $$unsorted)) % 0.36/0.65 (define @t153 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t154 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t9) @t152)))) % 0.36/0.65 (define @t155 () (not (tptp.c_Type_Otyping @t11 @t9 @t143))) % 0.36/0.65 (define @t156 () (tptp.c_Type_Otyping @t11 @t152 @t143)) % 0.36/0.65 (define @t157 () (@list @t11 @t152 @t143 @t9)) % 0.36/0.65 (define @t158 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.36/0.65 (define @t159 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t158 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t160 () (tptp.c_Lambda_OdB_OVar @t32)) % 0.36/0.65 (define @t161 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t162 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t161) @t102)))) % 0.36/0.65 (define @t163 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t32 @t129 @t102)) % 0.36/0.65 (define @t164 () (@var "V_s_H" $$unsorted)) % 0.36/0.65 (define @t165 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t22) @t164)))) % 0.36/0.65 (define @t166 () (tptp.c_Lambda_OdB_OAbs @t22)) % 0.36/0.65 (define @t167 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t22)) % 0.36/0.65 (define @t168 () (tptp.hAPP @t167 @t9)) % 0.36/0.65 (define @t169 () (tptp.hAPP @t153 @t168)) % 0.36/0.65 (define @t170 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t164)) % 0.36/0.65 (define @t171 () (tptp.c_Lambda_OdB_OAbs @t24)) % 0.36/0.65 (define @t172 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t171) @t22) @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t173 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t24 @t22 @t30) @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t174 () (@list @t24 @t22 @t128)) % 0.36/0.65 (define @t175 () (tptp.hAPP @t46 @t52)) % 0.36/0.65 (define @t176 () (@var "V_c" $$unsorted)) % 0.36/0.65 (define @t177 () (tptp.hBOOL (tptp.hAPP @t175 @t176))) % 0.36/0.65 (define @t178 () (@list @t24 @t4 @t52 @t176 @t51)) % 0.36/0.65 (define @t179 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t9)) % 0.36/0.65 (define @t180 () (tptp.hAPP @t179 @t99)) % 0.36/0.65 (define @t181 () (@var "V_A" $$unsorted)) % 0.36/0.65 (define @t182 () (tptp.c_List_Olistsp @t181 @t12 @t4)) % 0.36/0.65 (define @t183 () (tptp.c_List_Olistsp @t181 @t14 @t4)) % 0.36/0.65 (define @t184 () (tptp.c_List_Olistsp @t181 @t16 @t4)) % 0.36/0.65 (define @t185 () (tptp.c_List_Ofoldr @t61 @t12 @t62 @t4 @t4)) % 0.36/0.65 (define @t186 () (@list @t4 @t52)) % 0.36/0.65 (define @t187 () (tptp.hAPP @t46 @t2)) % 0.36/0.65 (define @t188 () (tptp.hBOOL (tptp.hAPP @t187 @t1))) % 0.36/0.65 (define @t189 () (= @t52 @t62)) % 0.36/0.65 (define @t190 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t4))) % 0.36/0.65 (define @t191 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t24) @t22)))) % 0.36/0.65 (define @t192 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 (tptp.c_Lambda_Osubst @t9 @t24 @t141)) (tptp.c_Lambda_Osubst @t9 @t22 @t141)))) % 0.36/0.65 (define @t193 () (@list @t9 @t24 @t141 @t22)) % 0.36/0.65 (define @t194 () (tptp.c_Lambda_Osubst @t22 @t9 @t141)) % 0.36/0.65 (define @t195 () (tptp.c_Lambda_Osubst @t24 @t9 @t141)) % 0.36/0.65 (define @t196 () (@list @t24 @t9 @t141 @t22)) % 0.36/0.65 (define @t197 () (not (tptp.class_Ring__and__Field_Oidom @t4))) % 0.36/0.65 (define @t198 () (tptp.hAPP @t91 @t1)) % 0.36/0.65 (define @t199 () (tptp.hAPP @t61 @t1)) % 0.36/0.65 (define @t200 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t4))) % 0.36/0.65 (define @t201 () (tptp.hAPP @t61 @t51)) % 0.36/0.65 (define @t202 () (tptp.hAPP @t201 @t52)) % 0.36/0.65 (define @t203 () (tptp.hAPP @t61 @t176)) % 0.36/0.65 (define @t204 () (tptp.hAPP @t203 @t52)) % 0.36/0.65 (define @t205 () (tptp.hAPP @t65 @t176)) % 0.36/0.65 (define @t206 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t24) @t22)))) % 0.36/0.65 (define @t207 () (@var "V_z" $$unsorted)) % 0.36/0.65 (define @t208 () (not @t184)) % 0.36/0.65 (define @t209 () (tptp.c_List_Ofoldl @t61 @t62 @t12 @t4 @t4)) % 0.36/0.65 (define @t210 () (tptp.hAPP @t61 @t62)) % 0.36/0.65 (define @t211 () (tptp.hAPP @t91 (tptp.hAPP @t199 @t207))) % 0.36/0.65 (define @t212 () (@list @t4 @t2 @t1 @t207)) % 0.36/0.65 (define @t213 () (tptp.hAPP @t91 @t207)) % 0.36/0.65 (define @t214 () (not (tptp.class_OrderedGroup_Oab__group__add @t4))) % 0.36/0.65 (define @t215 () (tptp.hAPP @t65 (tptp.hAPP @t201 @t176))) % 0.36/0.65 (define @t216 () (tptp.hAPP @t61 @t66)) % 0.36/0.65 (define @t217 () (tptp.hAPP @t216 @t176)) % 0.36/0.65 (define @t218 () (= @t217 @t215)) % 0.36/0.65 (define @t219 () (@list @t4 @t52 @t51 @t176)) % 0.36/0.65 (define @t220 () (@var "V_d" $$unsorted)) % 0.36/0.65 (define @t221 () (tptp.hAPP @t61 @t205)) % 0.36/0.65 (define @t222 () (tptp.hAPP @t203 @t220)) % 0.36/0.65 (define @t223 () (tptp.hAPP @t65 @t222)) % 0.36/0.65 (define @t224 () (@list @t4 @t52 @t176 @t220)) % 0.36/0.65 (define @t225 () (= @t51 @t176)) % 0.36/0.65 (define @t226 () (not (= @t66 @t205))) % 0.36/0.65 (define @t227 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t4))) % 0.36/0.65 (define @t228 () (= (tptp.hAPP @t210 @t52) @t52)) % 0.36/0.65 (define @t229 () (= (tptp.hAPP @t65 @t62) @t52)) % 0.36/0.65 (define @t230 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t22 @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t231 () (@list @t24 @t128 @t22)) % 0.36/0.65 (define @t232 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t171 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t233 () (= @t128 @t8)) % 0.36/0.65 (define @t234 () (not (= @t230 @t171))) % 0.36/0.65 (define @t235 () (@list @t22 @t128 @t24)) % 0.36/0.65 (define @t236 () (not (= @t171 @t230))) % 0.36/0.65 (define @t237 () (tptp.c_Lambda_OdB_OVar @t31)) % 0.36/0.65 (define @t238 () (not (= @t237 @t230))) % 0.36/0.65 (define @t239 () (@list @t31 @t22 @t128)) % 0.36/0.65 (define @t240 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t166) @t9)) % 0.36/0.65 (define @t241 () (@list @t22 @t9)) % 0.36/0.65 (define @t242 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t151 @t10 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t243 () (not (tptp.c_Type_Otyping @t11 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t242 @t71 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t143))) % 0.36/0.65 (define @t244 () (not (tptp.c_Type_Otypings @t11 @t10 @t7))) % 0.36/0.65 (define @t245 () (not (tptp.c_Type_Otyping @t11 @t242 @t146))) % 0.36/0.65 (define @t246 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t143 @t146 @t11 @t71)) % 0.36/0.65 (define @t247 () (@var "V_Ta" $$unsorted)) % 0.36/0.65 (define @t248 () (@var "V_T1" $$unsorted)) % 0.36/0.65 (define @t249 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t99)))) % 0.36/0.65 (define @t250 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t144))) % 0.36/0.65 (define @t251 () (@var "V_T2" $$unsorted)) % 0.36/0.65 (define @t252 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t248) @t251)) % 0.36/0.65 (define @t253 () (not (= tptp.v_T____ @t252))) % 0.36/0.65 (define @t254 () (@list @t248 @t251 @t9 @t99 @t141 @t11 @t247)) % 0.36/0.65 (define @t255 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.36/0.65 (define @t256 () (@var "V_nat" $$unsorted)) % 0.36/0.65 (define @t257 () (tptp.c_Lambda_OdB_OVar @t256)) % 0.36/0.65 (define @t258 () (@var "V_dB2_H" $$unsorted)) % 0.36/0.65 (define @t259 () (@var "V_dB1_H" $$unsorted)) % 0.36/0.65 (define @t260 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t259) @t258)) % 0.36/0.65 (define @t261 () (@var "V_f1" $$unsorted)) % 0.36/0.65 (define @t262 () (tptp.hAPP @t261 @t256)) % 0.36/0.65 (define @t263 () (tptp.c_Type_Otype_OAtom @t256)) % 0.36/0.65 (define @t264 () (@var "V_f2" $$unsorted)) % 0.36/0.65 (define @t265 () (@list @t261 @t264 @t256 @t4)) % 0.36/0.65 (define @t266 () (@var "V_f" $$unsorted)) % 0.36/0.65 (define @t267 () (tptp.c_List_Oappend @t12 @t14 @t53)) % 0.36/0.65 (define @t268 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t22) @t9)))) % 0.36/0.65 (define @t269 () (tptp.c_Lambda_OdB_OAbs @t9)) % 0.36/0.65 (define @t270 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.36/0.65 (define @t271 () (tptp.c_List_Oappend @t18 @t18 @t4)) % 0.36/0.65 (define @t272 () (tptp.c_List_Oappend @t18 @t41 @t4)) % 0.36/0.65 (define @t273 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t99)) % 0.36/0.65 (define @t274 () (= @t24 @t22)) % 0.36/0.65 (define @t275 () (@var "V_P" $$unsorted)) % 0.36/0.65 (define @t276 () (@var "V_xc" $$unsorted)) % 0.36/0.65 (define @t277 () (@var "V_list_H" $$unsorted)) % 0.36/0.65 (define @t278 () (@var "V_a_H" $$unsorted)) % 0.36/0.65 (define @t279 () (tptp.c_List_Olist_OCons @t278 @t277 @t4)) % 0.36/0.65 (define @t280 () (tptp.c_List_Olist_OCons @t2 @t74 @t4)) % 0.36/0.65 (define @t281 () (@var "V_xs1" $$unsorted)) % 0.36/0.65 (define @t282 () (tptp.c_List_Oappend @t280 @t112 @t4)) % 0.36/0.65 (define @t283 () (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t74 @t112 @t4) @t4)) % 0.36/0.65 (define @t284 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t275)) % 0.36/0.65 (define @t285 () (tptp.hBOOL (tptp.hAPP @t275 @t143))) % 0.36/0.65 (define @t286 () (tptp.c_Type_Otyping @t11 @t26 @t143)) % 0.36/0.65 (define @t287 () (not @t286)) % 0.36/0.65 (define @t288 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t143 @t11 @t9 @t10)) % 0.36/0.65 (define @t289 () (@list @t11 @t10 @t143 @t9)) % 0.36/0.65 (define @t290 () (not (tptp.c_Type_Otyping @t11 @t180 @t143))) % 0.36/0.65 (define @t291 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t143 @t11 @t9 @t99)) % 0.36/0.65 (define @t292 () (not (tptp.c_Type_Otyping @t11 @t269 @t143))) % 0.36/0.65 (define @t293 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t143 @t11 @t9)) % 0.36/0.65 (define @t294 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t143 @t11 @t9)) % 0.36/0.65 (define @t295 () (= @t14 @t112)) % 0.36/0.65 (define @t296 () (@list @t12 @t14 @t4 @t112)) % 0.36/0.65 (define @t297 () (tptp.c_List_Oappend @t18 @t14 @t4)) % 0.36/0.65 (define @t298 () (@var "V_nat_H" $$unsorted)) % 0.36/0.65 (define @t299 () (= @t256 @t298)) % 0.36/0.65 (define @t300 () (@list @t256 @t298)) % 0.36/0.65 (define @t301 () (@var "V_dB_H" $$unsorted)) % 0.36/0.65 (define @t302 () (tptp.c_Lambda_OdB_OAbs @t301)) % 0.36/0.65 (define @t303 () (not (= @t18 @t16))) % 0.36/0.65 (define @t304 () (@var "V_dB" $$unsorted)) % 0.36/0.65 (define @t305 () (not (= @t16 @t18))) % 0.36/0.65 (define @t306 () (not (tptp.c_Type_Otyping @t11 @t242 @t143))) % 0.36/0.65 (define @t307 () (@var "V_dB2" $$unsorted)) % 0.36/0.65 (define @t308 () (@var "V_dB1" $$unsorted)) % 0.36/0.65 (define @t309 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t308) @t307)) % 0.36/0.65 (define @t310 () (not (= @t309 @t260))) % 0.36/0.65 (define @t311 () (@list @t308 @t307 @t259 @t258)) % 0.36/0.65 (define @t312 () (= @t129 @t128)) % 0.36/0.65 (define @t313 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t171 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t166 @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/0.65 (define @t314 () (@list @t24 @t129 @t22 @t128)) % 0.36/0.65 (define @t315 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t143 @t11 @t9 @t10)) % 0.36/0.65 (define @t316 () (@var "V_list" $$unsorted)) % 0.36/0.65 (define @t317 () (not (= (tptp.c_List_Olist_OCons @t52 @t316 @t4) @t279))) % 0.36/0.65 (define @t318 () (@list @t52 @t316 @t4 @t278 @t277)) % 0.36/0.65 (define @t319 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t270))) % 0.36/0.65 (define @t320 () (@list @t31 @t129 @t32 @t128)) % 0.36/0.65 (define @t321 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t143 @t11 @t141 @t10)) % 0.36/0.65 (define @t322 () (not (= @t131 @t134))) % 0.36/0.65 (define @t323 () (@list @t12 @t2 @t4 @t14 @t1)) % 0.36/0.65 (define @t324 () (@var "V_type2_H" $$unsorted)) % 0.36/0.65 (define @t325 () (@var "V_type1_H" $$unsorted)) % 0.36/0.65 (define @t326 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t325) @t324)) % 0.36/0.65 (define @t327 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.36/0.65 (define @t328 () (@var "V_type1" $$unsorted)) % 0.36/0.65 (define @t329 () (@var "V_type2" $$unsorted)) % 0.36/0.65 (define @t330 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t328) @t329)) % 0.36/0.65 (define @t331 () (not (= @t330 @t326))) % 0.36/0.65 (define @t332 () (@list @t328 @t329 @t325 @t324)) % 0.36/0.65 (define @t333 () (@var "V_T1a" $$unsorted)) % 0.36/0.65 (define @t334 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t143) @t146)) % 0.36/0.65 (define @t335 () (@var "V_env" $$unsorted)) % 0.36/0.65 (define @t336 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.36/0.65 (define @t337 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t336)) % 0.36/0.65 (define @t338 () (@list @t11 @t9 @t143 @t10)) % 0.36/0.65 (define @t339 () (= tptp.v_T____ @t337)) % 0.36/0.65 (define @t340 () (tptp.hAPP (tptp.hAPP @t264 @t328) @t329)) % 0.36/0.65 (define @t341 () (@list @t261 @t264 @t328 @t329 @t4)) % 0.36/0.65 (define @t342 () (@var "V_xb" $$unsorted)) % 0.36/0.65 (define @t343 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t337)) % 0.36/0.65 (define @t344 () (@var "V_Y" $$unsorted)) % 0.36/0.65 (define @t345 () (@var "V_X" $$unsorted)) % 0.36/0.65 (define @t346 () (and @t327 @t339)) % 0.36/0.65 (assume @p1 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.36/0.65 (assume @p2 (forall @t6 (or (not (tptp.class_Int_Oring__char__0 @t4)) @t5 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t2 @t4) (tptp.c_Int_Onumber__class_Onumber__of @t1 @t4))) @t3))) % 0.36/0.65 (assume @p3 (forall (@list @t11 @t9 @t7 @t10) (or (tptp.c_Type_Otyping @t11 @t9 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t7 @t11 @t9 @t10)) (not (tptp.c_Type_Otypings @t11 (tptp.c_List_Oappend @t10 (tptp.c_List_Olist_OCons @t9 @t8 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t7))))) % 0.36/0.65 (assume @p4 (forall @t17 (= (tptp.c_List_Orev @t16 @t4) (tptp.c_List_Oappend @t15 @t13 @t4)))) % 0.36/0.65 (assume @p5 (forall @t20 (= @t19 @t18))) % 0.36/0.65 (assume @p6 (forall @t29 (or @t28 (= @t10 (tptp.c_List_Oappend @t25 @t23 tptp.tc_Lambda_OdB)) @t21))) % 0.36/0.65 (assume @p7 (forall @t34 (or @t33 @t3 (= @t31 @t30)))) % 0.36/0.65 (assume @p8 (forall @t36 (or (not (= @t13 @t18)) @t35))) % 0.36/0.65 (assume @p9 (forall (@list @t2 @t4 @t1) (= @t37 (tptp.c_List_Oreplicate @t30 @t1 @t4)))) % 0.36/0.65 (assume @p10 (forall @t40 (or (= (tptp.c_List_Olast @t39 @t4) @t2) @t38))) % 0.36/0.65 (assume @p11 (forall (@list @t2 @t1 @t24 @t14 @t4 @t12) (or @t3 @t45 @t43))) % 0.36/0.65 (assume @p12 (forall @t50 (or @t49 (not @t48)))) % 0.36/0.65 (assume @p13 (forall (@list @t24 @t4 @t1 @t2) (or @t48 (not @t49)))) % 0.36/0.65 (assume @p14 (forall (@list @t24 @t51 @t52 @t4 @t53) (or @t57 (not @t55)))) % 0.36/0.65 (assume @p15 (forall (@list @t24 @t4 @t53 @t52 @t51) (or @t55 (not @t57)))) % 0.36/0.65 (assume @p16 (forall (@list @t24 @t58 @t59 @t4 @t53) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t58) @t59)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t59) @t58)))))) % 0.36/0.65 (assume @p17 (forall (@list @t24 @t4 @t53 @t51 @t52) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t51) @t52)) @t60))) % 0.36/0.65 (assume @p18 (forall (@list @t4 @t52 @t51 @t32) (or @t67 (= (tptp.c_Power_Opower_Opower @t62 @t61 @t66 @t32 @t4) (tptp.hAPP @t64 (tptp.c_Power_Opower_Opower @t62 @t61 @t51 @t32 @t4)))))) % 0.36/0.65 (assume @p19 (forall (@list @t24 @t14 @t12 @t4 @t2) (or @t70 (tptp.c_ListOrder_Ostep1 @t24 (tptp.c_List_Oappend @t14 @t2 @t4) @t68 @t4)))) % 0.36/0.65 (assume @p20 (forall (@list @t24 @t2 @t72 @t4 @t71) (or (tptp.c_ListOrder_Ostep1 @t24 (tptp.c_List_Oappend @t2 @t72 @t4) (tptp.c_List_Oappend @t2 @t71 @t4) @t4) (not (tptp.c_ListOrder_Ostep1 @t24 @t72 @t71 @t4))))) % 0.36/0.65 (assume @p21 (forall @t20 (= (tptp.c_List_Orotate1 @t18 @t4) @t18))) % 0.36/0.65 (assume @p22 (forall (@list @t2 @t1 @t12 @t14 @t24 @t4) (or @t3 @t73 @t43))) % 0.36/0.65 (assume @p23 (forall (@list @t24 @t1 @t74 @t2 @t4) (or (not (tptp.hBOOL (tptp.hAPP @t44 @t74))) (tptp.c_ListOrder_Ostep1 @t24 (tptp.c_List_Olist_OCons @t1 @t2 @t4) (tptp.c_List_Olist_OCons @t74 @t2 @t4) @t4)))) % 0.36/0.65 (assume @p24 (forall @t34 (or @t33 @t75))) % 0.36/0.65 (assume @p25 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.36/0.65 (assume @p26 (forall @t81 (or @t80 @t79 @t77))) % 0.36/0.65 (assume @p27 (forall @t81 (or @t80 @t77 @t79))) % 0.36/0.65 (assume @p28 (forall (@list @t9) (or (tptp.c_Wellfounded_Oaccp @t83 @t9 tptp.tc_Lambda_OdB) @t82))) % 0.36/0.65 (assume @p29 (forall @t85 (or @t84 (not (tptp.c_Wellfounded_Oaccp @t83 @t24 tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p30 (forall (@list @t32 @t4) (= (tptp.c_List_Otake @t32 @t18 @t4) @t18))) % 0.36/0.65 (assume @p31 (forall @t36 (or (not (= (tptp.c_List_Orotate1 @t12 @t4) @t18)) @t35))) % 0.36/0.65 (assume @p32 (forall @t36 (= @t12 @t86))) % 0.36/0.65 (assume @p33 (forall @t87 (= (tptp.c_List_Orev @t15 @t4) @t14))) % 0.36/0.65 (assume @p34 (forall @t36 (= @t86 @t12))) % 0.36/0.65 (assume @p35 (forall @t40 (= (tptp.c_List_Orev @t39 @t4) @t39))) % 0.36/0.65 (assume @p36 (forall (@list @t24 @t4 @t12) (not (tptp.c_ListOrder_Ostep1 @t24 @t18 @t12 @t4)))) % 0.36/0.65 (assume @p37 (forall (@list @t24 @t12 @t4) (not (tptp.c_ListOrder_Ostep1 @t24 @t12 @t18 @t4)))) % 0.36/0.65 (assume @p38 (forall (@list @t24 @t22 @t74) (or (not (= @t24 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 @t74 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t27 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 (tptp.c_List_Oappend @t74 @t23 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p39 (forall @t20 (= (tptp.c_Predicate_Oconversep @t88 @t4 @t4) @t88))) % 0.36/0.65 (assume @p40 (forall (@list @t4 @t32) (or @t67 (= (tptp.c_Power_Opower_Opower @t62 @t61 @t62 @t32 @t4) @t62)))) % 0.36/0.65 (assume @p41 (forall @t89 (or @t69 @t73 @t43))) % 0.36/0.65 (assume @p42 (forall @t93 (or @t92 (= (tptp.c_List_Olistsum @t41 @t4) (tptp.hAPP @t91 @t90))))) % 0.36/0.65 (assume @p43 (forall (@list @t32 @t2 @t4 @t94) (= (tptp.c_List_Oappend @t39 @t95 @t4) (tptp.c_List_Oappend @t95 @t39 @t4)))) % 0.36/0.65 (assume @p44 (forall (@list @t12 @t4 @t14) (or (not (= @t13 @t15)) @t73))) % 0.36/0.65 (assume @p45 (forall @t96 (or @t67 (= (tptp.c_List_Olistsum @t13 @t4) @t90)))) % 0.36/0.65 (assume @p46 (forall (@list @t4 @t52 @t32) (or @t67 (= (tptp.hAPP @t64 @t52) (tptp.hAPP @t65 @t63))))) % 0.36/0.65 (assume @p47 (forall @t96 (or (not (= @t18 @t13)) @t35))) % 0.36/0.65 (assume @p48 (forall (@list @t24 @t4 @t53) (= (tptp.c_Predicate_Oconversep @t54 @t53 @t4) @t24))) % 0.36/0.65 (assume @p49 (forall (@list @t97 @t98 @t52 @t4) (= (tptp.c_Power_Opower_Opower @t97 @t98 @t52 @t30 @t4) @t97))) % 0.36/0.65 (assume @p50 (forall @t89 (or @t69 @t45 @t43))) % 0.36/0.65 (assume @p51 (forall (@list @t24 @t2 @t14 @t4 @t12) (or (tptp.c_ListOrder_Ostep1 @t24 (tptp.c_List_Olist_OCons @t2 @t14 @t4) @t41 @t4) @t70))) % 0.36/0.65 (assume @p52 (forall @t20 (= (tptp.c_List_Obutlast @t18 @t4) @t18))) % 0.36/0.65 (assume @p53 (forall (@list @t9 @t10 @t99) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t26) @t99) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 (tptp.c_List_Oappend @t10 (tptp.c_List_Olist_OCons @t99 @t8 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/0.65 (assume @p54 (forall @t20 (= @t18 @t19))) % 0.36/0.65 (assume @p55 (forall @t100 (or @t92 (= (tptp.c_List_Olistsum @t16 @t4) (tptp.hAPP (tptp.hAPP @t61 @t90) (tptp.c_List_Olistsum @t14 @t4)))))) % 0.36/0.65 (assume @p56 (forall (@list @t2 @t22 @t9) (or (= @t101 @t8) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t22) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t101 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p57 (forall (@list @t24 @t1 @t4 @t52) (or (tptp.c_Wellfounded_Oaccp @t24 @t1 @t4) (not (tptp.hBOOL (tptp.hAPP @t44 @t52))) @t77))) % 0.36/0.65 (assume @p58 (forall (@list @t24 @t52 @t4 @t51) (or @t76 @t60 (not @t80)))) % 0.36/0.65 (assume @p59 (forall (@list @t102 @t2 @t12 @t4) (or (not (= @t103 @t30)) (= (tptp.c_List_Otake @t103 @t41 @t4) @t18)))) % 0.36/0.65 (assume @p60 (forall @t36 (or (= (tptp.c_List_Oappend @t105 (tptp.c_List_Olist_OCons @t104 @t18 @t4) @t4) @t12) @t35))) % 0.36/0.65 (assume @p61 (forall @t20 (or @t92 (= (tptp.c_List_Olistsum @t18 @t4) @t62)))) % 0.36/0.65 (assume @p62 (forall @t106 (= @t37 @t18))) % 0.36/0.65 (assume @p63 (forall (@list @t32 @t12 @t4) (or (not (= (tptp.c_List_Otake @t32 @t12 @t4) @t18)) @t35 @t38))) % 0.36/0.65 (assume @p64 (forall @t107 (= @t18 @t37))) % 0.36/0.65 (assume @p65 (forall @t36 (= (tptp.c_List_Otake @t30 @t12 @t4) @t18))) % 0.36/0.65 (assume @p66 (forall @t40 (or (not (= @t39 @t18)) @t38))) % 0.36/0.65 (assume @p67 (forall (@list @t4 @t32 @t2) (or (not (= @t18 @t39)) @t38))) % 0.36/0.65 (assume @p68 (forall @t106 (= @t108 @t109))) % 0.36/0.65 (assume @p69 (forall @t110 (or (= (tptp.c_List_Olast @t41 @t4) @t104) @t35))) % 0.36/0.65 (assume @p70 (forall @t106 (= @t109 @t108))) % 0.36/0.65 (assume @p71 (forall (@list @t2 @t4 @t12) (or (not (= @t108 @t13)) @t111))) % 0.36/0.65 (assume @p72 (forall (@list @t12 @t4 @t2) (or (not (= @t13 @t108)) @t111))) % 0.36/0.65 (assume @p73 (forall @t106 (= (tptp.c_List_Obutlast @t108 @t4) @t18))) % 0.36/0.65 (assume @p74 (forall @t106 (= (tptp.c_List_Olast @t108 @t4) @t2))) % 0.36/0.65 (assume @p75 (forall @t110 (or (= (tptp.c_List_Obutlast @t41 @t4) (tptp.c_List_Olist_OCons @t2 @t105 @t4)) @t35))) % 0.36/0.65 (assume @p76 (forall @t118 (or @t117 @t115 @t113))) % 0.36/0.65 (assume @p77 (forall @t123 (or @t122 @t121 @t119))) % 0.36/0.65 (assume @p78 (forall @t118 (or @t117 @t124 @t113))) % 0.36/0.65 (assume @p79 (forall @t123 (or @t122 @t125 @t119))) % 0.36/0.65 (assume @p80 (forall (@list @t32 @t2 @t4 @t12) (= (tptp.c_List_Oappend @t39 @t41 @t4) (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t39 @t12 @t4) @t4)))) % 0.36/0.65 (assume @p81 (forall @t36 (= (tptp.c_List_Obutlast @t126 @t4) @t105))) % 0.36/0.65 (assume @p82 (forall @t17 (or (= (tptp.c_List_Olast @t16 @t4) (tptp.c_List_Olast @t14 @t4)) @t127))) % 0.36/0.65 (assume @p83 (forall @t36 (= (tptp.c_List_Olast @t126 @t4) @t104))) % 0.36/0.65 (assume @p84 (forall @t17 (or (= (tptp.c_List_Obutlast @t16 @t4) (tptp.c_List_Oappend @t12 (tptp.c_List_Obutlast @t14 @t4) @t4)) @t127))) % 0.36/0.65 (assume @p85 (forall (@list @t24 @t129 @t128) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t24 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t130)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t129 @t128 tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p86 (forall @t123 (or @t122 @t125 @t127))) % 0.36/0.65 (assume @p87 (forall @t118 (or @t117 @t124 @t127))) % 0.36/0.65 (assume @p88 (forall @t132 (= (tptp.c_List_Olast @t131 @t4) @t2))) % 0.36/0.65 (assume @p89 (forall @t132 (= (tptp.c_List_Obutlast @t131 @t4) @t12))) % 0.36/0.65 (assume @p90 (forall (@list @t14 @t12 @t1 @t2 @t24 @t4) (or @t137 @t136 @t135))) % 0.36/0.65 (assume @p91 (forall (@list @t24 @t1 @t2 @t14 @t4 @t12) (or @t45 @t136 @t135))) % 0.36/0.65 (assume @p92 (forall @t118 (or @t117 @t115 @t127))) % 0.36/0.65 (assume @p93 (forall @t123 (or @t122 @t121 @t127))) % 0.36/0.65 (assume @p94 (forall @t110 (= (tptp.c_List_Orev @t41 @t4) (tptp.c_List_Oappend @t13 @t108 @t4)))) % 0.36/0.65 (assume @p95 (forall (@list @t24 @t1 @t2 @t14 @t12 @t4) (or @t45 @t69 @t135))) % 0.36/0.65 (assume @p96 (forall (@list @t12 @t4 @t1 @t14) (or (not (= @t13 @t42)) (= @t12 @t138)))) % 0.36/0.65 (assume @p97 (forall (@list @t14 @t4 @t1) (= (tptp.c_List_Orev @t138 @t4) @t42))) % 0.36/0.65 (assume @p98 (forall (@list @t2 @t12 @t53) (= (tptp.c_List_Orotate1 @t140 @t53) (tptp.c_List_Oappend @t12 (tptp.c_List_Olist_OCons @t2 @t139 @t53) @t53)))) % 0.36/0.65 (assume @p99 (forall (@list @t14 @t12 @t24 @t4 @t1 @t2) (or @t137 @t69 @t135))) % 0.36/0.65 (assume @p100 (forall (@list @t141 @t2 @t4) (= (tptp.c_List_Oappend @t142 @t108 @t4) (tptp.c_List_Olist_OCons @t2 @t142 @t4)))) % 0.36/0.65 (assume @p101 (forall @t110 (= (tptp.c_List_Otake @t30 @t41 @t4) @t18))) % 0.36/0.65 (assume @p102 (forall (@list @t145 @t99 @t146 @t141 @t9 @t143) (or (not (tptp.c_Type_Otyping @t145 @t99 @t146)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t145 @t141 @t146 tptp.tc_Type_Otype) @t9 @t143)) (tptp.c_Type_Otyping @t145 @t144 @t143)))) % 0.36/0.65 (assume @p103 (forall (@list @t4 @t12 @t52) (or @t148 (= (tptp.c_List_Ofoldr @t61 @t12 @t52 @t4 @t4) @t147)))) % 0.36/0.65 (assume @p104 (forall (@list @t24 @t141 @t150) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t24 @t151 @t150))) @t149))) % 0.36/0.65 (assume @p105 (forall @t157 (or @t156 @t155 @t154))) % 0.36/0.65 (assume @p106 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t159 tptp.v_T_Ha______)) % 0.36/0.65 (assume @p107 (forall (@list @t129 @t32 @t102) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t129 @t163 tptp.tc_Lambda_OdB) @t162))) % 0.36/0.65 (assume @p108 (forall (@list @t24 @t22) (= @t27 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/0.65 (assume @p109 (forall (@list @t24 @t22 @t9) (or (not (= @t27 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t27 @t9)))) % 0.36/0.65 (assume @p110 (forall (@list @t22 @t164) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t166) (tptp.c_Lambda_OdB_OAbs @t164))) @t165))) % 0.36/0.65 (assume @p111 (forall (@list @t22 @t9 @t152) (or (tptp.hBOOL (tptp.hAPP @t169 (tptp.hAPP @t167 @t152))) @t154))) % 0.36/0.65 (assume @p112 (forall (@list @t22 @t9 @t164) (or (tptp.hBOOL (tptp.hAPP @t169 (tptp.hAPP @t170 @t9))) @t165))) % 0.36/0.65 (assume @p113 (forall (@list @t22 @t9 @t164 @t152) (or (tptp.hBOOL (tptp.hAPP @t169 (tptp.hAPP @t170 @t152))) @t154 @t165))) % 0.36/0.65 (assume @p114 (forall (@list @t4 @t2 @t112) (or @t92 (= (tptp.hAPP @t91 (tptp.c_List_Ofoldl @t61 @t62 @t112 @t4 @t4)) (tptp.c_List_Ofoldl @t61 @t2 @t112 @t4 @t4))))) % 0.36/0.65 (assume @p115 (forall @t174 (or (not (tptp.c_Wellfounded_Oaccp @t83 @t173 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t83 @t22 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t83 @t172 tptp.tc_Lambda_OdB)))) % 0.36/0.65 (assume @p116 (forall @t178 (or @t177 (not (tptp.hBOOL (tptp.hAPP @t56 @t176))) (not (tptp.hBOOL (tptp.hAPP @t175 @t51)))))) % 0.36/0.65 (assume @p117 (forall @t178 (or @t177 (not (tptp.hBOOL (tptp.hAPP @t78 @t176))) @t60))) % 0.36/0.65 (assume @p118 (forall (@list @t9 @t99 @t22 @t94) (= (tptp.c_Lambda_Osubst @t180 @t22 @t94) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t9 @t22 @t94)) (tptp.c_Lambda_Osubst @t99 @t22 @t94))))) % 0.36/0.65 (assume @p119 (forall (@list @t94 @t99) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t94) @t99 @t94) @t99))) % 0.36/0.65 (assume @p120 (forall (@list @t181 @t12 @t14 @t4) (or @t184 (not @t183) (not @t182)))) % 0.36/0.65 (assume @p121 (forall @t96 (or @t92 (= @t90 @t185)))) % 0.36/0.65 (assume @p122 (forall @t186 (or @t67 (= (tptp.c_Power_Opower_Opower @t62 @t61 @t52 @t30 @t4) @t62)))) % 0.36/0.65 (assume @p123 (forall @t50 (or @t188 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t2) @t1)))))) % 0.36/0.65 (assume @p124 (forall @t186 (or @t190 (not (= (tptp.hAPP @t65 @t52) @t62)) @t189))) % 0.36/0.65 (assume @p125 (forall @t193 (or @t192 @t191))) % 0.36/0.65 (assume @p126 (forall @t196 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t195) @t194)) @t191))) % 0.36/0.65 (assume @p127 (forall (@list @t4 @t2 @t52) (or @t197 @t5 (not (= @t2 (tptp.hAPP @t91 @t52))) @t189))) % 0.36/0.65 (assume @p128 (forall (@list @t4 @t2 @t1 @t112) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t4)) (= (tptp.c_List_Ofoldl @t61 @t198 @t112 @t4 @t4) (tptp.hAPP @t91 (tptp.c_List_Ofoldl @t61 @t1 @t112 @t4 @t4)))))) % 0.36/0.65 (assume @p129 (forall @t6 (or @t200 (= @t198 (tptp.hAPP @t199 @t2))))) % 0.36/0.65 (assume @p130 (forall (@list @t4 @t52 @t51) (or @t67 (= @t66 @t202)))) % 0.36/0.65 (assume @p131 (forall (@list @t4 @t52 @t176) (or @t200 (= @t205 @t204)))) % 0.36/0.65 (assume @p132 (forall @t193 (or @t192 @t206))) % 0.36/0.65 (assume @p133 (forall (@list @t24 @t4 @t2 @t207 @t1) (or (tptp.hBOOL (tptp.hAPP @t187 @t207)) (not (tptp.hBOOL (tptp.hAPP @t47 @t207))) (not @t188)))) % 0.36/0.65 (assume @p134 (forall (@list @t24 @t4 @t2) (tptp.hBOOL (tptp.hAPP @t187 @t2)))) % 0.36/0.65 (assume @p135 (forall (@list @t24 @t4 @t52) (tptp.hBOOL (tptp.hAPP @t175 @t52)))) % 0.36/0.65 (assume @p136 (forall (@list @t181 @t4) (tptp.c_List_Olistsp @t181 @t18 @t4))) % 0.36/0.65 (assume @p137 (forall @t196 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t195) @t194)) @t206))) % 0.36/0.65 (assume @p138 (forall (@list @t181 @t14 @t4 @t12) (or @t183 @t208))) % 0.36/0.65 (assume @p139 (forall (@list @t181 @t12 @t4 @t14) (or @t182 @t208))) % 0.36/0.65 (assume @p140 (forall @t96 (or @t92 (= @t90 @t209)))) % 0.36/0.65 (assume @p141 (forall @t20 (or @t190 (= (tptp.hAPP @t210 @t62) @t62)))) % 0.36/0.65 (assume @p142 (forall @t212 (or @t200 (= @t211 (tptp.hAPP (tptp.hAPP @t61 @t198) @t207))))) % 0.36/0.65 (assume @p143 (forall @t212 (or @t214 (= @t211 (tptp.hAPP @t199 @t213))))) % 0.36/0.65 (assume @p144 (forall @t219 (or @t67 @t218))) % 0.36/0.65 (assume @p145 (forall @t219 (or @t67 (= @t215 (tptp.hAPP @t201 @t205))))) % 0.36/0.65 (assume @p146 (forall @t219 (or @t148 @t218))) % 0.36/0.65 (assume @p147 (forall @t224 (or @t200 (= @t223 (tptp.hAPP @t221 @t220))))) % 0.36/0.65 (assume @p148 (forall @t219 (or @t200 (= @t217 (tptp.hAPP @t221 @t51))))) % 0.36/0.65 (assume @p149 (forall @t224 (or @t200 (= @t223 (tptp.hAPP @t203 (tptp.hAPP @t65 @t220)))))) % 0.36/0.65 (assume @p150 (forall @t219 (or @t200 @t218))) % 0.36/0.65 (assume @p151 (forall (@list @t4 @t2 @t1 @t207 @t99) (or @t214 (not (= @t211 (tptp.hAPP @t199 @t99))) (= @t213 @t99)))) % 0.36/0.65 (assume @p152 (forall @t29 (or @t28 (= @t24 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t9 @t25 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t21))) % 0.36/0.65 (assume @p153 (forall @t212 (or @t197 @t5 (not (= @t198 @t213)) (= @t1 @t207)))) % 0.36/0.65 (assume @p154 (forall @t219 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t4)) @t226 @t225))) % 0.36/0.65 (assume @p155 (forall @t219 (or @t227 @t226 @t225))) % 0.36/0.65 (assume @p156 (forall (@list @t4 @t51 @t52 @t176) (or @t227 (not (= @t202 @t204)) @t225))) % 0.36/0.65 (assume @p157 (forall (@list @t4 @t52 @t51 @t176 @t220) (or @t200 (= (tptp.hAPP @t216 @t222) (tptp.hAPP @t221 (tptp.hAPP @t201 @t220)))))) % 0.36/0.65 (assume @p158 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.36/0.65 (assume @p159 (forall (@list @t24 @t4) (= (tptp.c_Transitive__Closure_Ortranclp @t46 @t4) @t46))) % 0.36/0.65 (assume @p160 (forall @t107 (or @t200 (= (tptp.hAPP @t210 @t2) @t2)))) % 0.36/0.65 (assume @p161 (forall @t186 (or @t67 @t228))) % 0.36/0.65 (assume @p162 (forall @t107 (or @t197 @t5 (= @t2 (tptp.hAPP @t91 @t62))))) % 0.36/0.65 (assume @p163 (forall @t186 (or @t67 @t229))) % 0.36/0.65 (assume @p164 (forall @t186 (or @t92 @t228))) % 0.36/0.65 (assume @p165 (forall @t186 (or @t92 @t229))) % 0.36/0.65 (assume @p166 (forall @t186 (or @t200 @t229))) % 0.36/0.65 (assume @p167 (forall @t186 (or @t200 @t228))) % 0.36/0.65 (assume @p168 (forall @t231 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t153 @t130) @t230)) @t191))) % 0.36/0.65 (assume @p169 (forall @t85 (= @t232 @t171))) % 0.36/0.65 (assume @p170 (forall @t235 (or @t234 @t233))) % 0.36/0.65 (assume @p171 (forall @t85 (= @t171 @t232))) % 0.36/0.65 (assume @p172 (forall @t174 (or @t236 @t233))) % 0.36/0.65 (assume @p173 (forall @t239 (or @t238 @t233))) % 0.36/0.65 (assume @p174 (forall (@list @t31) (= @t237 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.36/0.65 (assume @p175 (forall (@list @t4 @t52 @t12) (or @t92 (= @t147 (tptp.hAPP @t65 @t185))))) % 0.36/0.65 (assume @p176 (forall @t96 (or @t92 (= @t209 @t185)))) % 0.36/0.65 (assume @p177 (forall @t241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t240) (tptp.c_Lambda_Osubst @t22 @t9 @t30))))) % 0.36/0.65 (assume @p178 (forall (@list @t102 @t32 @t129) (or (= @t102 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t163 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t162))) % 0.36/0.65 (assume @p179 (forall (@list @t32 @t129) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t161)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t129 tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p180 (forall @t174 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t172)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t22))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t173)))))) % 0.36/0.65 (assume @p181 (forall (@list @t11 @t71 @t143 @t146 @t141 @t10 @t7) (or (tptp.c_Type_Otypings @t11 @t71 @t246) @t245 @t244 @t243))) % 0.36/0.65 (assume @p182 (forall @t254 (or @t253 @t250 (not (tptp.c_Type_Otyping @t11 @t99 @t248)) @t249 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t11 @t141 @t248 tptp.tc_Type_Otype) @t9 @t247)) @t82))) % 0.36/0.65 (assume @p183 (forall @t254 (or @t253 @t250 (not (tptp.c_Type_Otyping @t11 @t99 @t251)) @t249 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t11 @t141 @t251 tptp.tc_Type_Otype) @t9 @t247)) @t82))) % 0.36/0.65 (assume @p184 (forall (@list @t146 @t143 @t11 @t71 @t141 @t10 @t7) (or (= @t146 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t246 @t143 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t245 @t244 @t243))) % 0.36/0.65 (assume @p185 (tptp.c_Type_Otypings @t255 tptp.v_as____ tptp.v_Ts____)) % 0.36/0.65 (assume @p186 (tptp.c_Type_Otyping @t255 @t159 tptp.v_T_H____)) % 0.36/0.65 (assume @p187 (forall (@list @t259 @t258 @t256) (not (= @t260 @t257)))) % 0.36/0.65 (assume @p188 (forall @t265 (= (tptp.c_Type_Otype_Otype__case @t261 @t264 @t263 @t4) @t262))) % 0.36/0.65 (assume @p189 (forall (@list @t266 @t52 @t12 @t14 @t53 @t4) (= (tptp.c_List_Ofoldl @t266 @t52 @t267 @t4 @t53) (tptp.c_List_Ofoldl @t266 (tptp.c_List_Ofoldl @t266 @t52 @t12 @t4 @t53) @t14 @t4 @t53)))) % 0.36/0.65 (assume @p190 (forall @t241 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t166) @t269)) @t268))) % 0.36/0.65 (assume @p191 (forall (@list @t22 @t9 @t32 @t128) (not (= @t240 @t270)))) % 0.36/0.65 (assume @p192 (forall @t20 (= @t18 @t271))) % 0.36/0.65 (assume @p193 (forall (@list @t9 @t141) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t179 @t151))) @t82))) % 0.36/0.65 (assume @p194 (forall @t110 (= @t41 @t272))) % 0.36/0.65 (assume @p195 (forall @t132 (not (= @t12 @t41)))) % 0.36/0.65 (assume @p196 (forall (@list @t2 @t9 @t4) (not (= (tptp.c_List_Olist_OCons @t2 @t9 @t4) @t9)))) % 0.36/0.65 (assume @p197 (forall (@list @t22 @t99 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t167 @t99)) @t180)) @t268))) % 0.36/0.65 (assume @p198 (forall (@list @t99 @t22 @t9) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t273 @t22)) (tptp.hAPP @t273 @t9))) @t268))) % 0.36/0.65 (assume @p199 (forall @t85 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t171)) @t149))) % 0.36/0.65 (assume @p200 (forall (@list @t24 @t10 @t22) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t24 @t10 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t22 @t10 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t274))) % 0.36/0.65 (assume @p201 (forall (@list @t275 @t261 @t264 @t256) (or (not (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Type_Otype_Otype__case @t261 @t264 @t263 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t275 @t262))))) % 0.36/0.65 (assume @p202 (forall (@list @t275 @t261 @t264 @t276) (or (not (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Type_Otype_Otype__case @t261 @t264 (tptp.c_Type_Otype_OAtom @t276) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t275 (tptp.hAPP @t261 @t276)))))) % 0.36/0.65 (assume @p203 (forall (@list @t278 @t277 @t4) (not (= @t279 @t18)))) % 0.36/0.65 (assume @p204 (forall (@list @t2 @t74 @t4) (not (= @t280 @t18)))) % 0.36/0.65 (assume @p205 (forall (@list @t2 @t281 @t112 @t4) (= (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t281 @t112 @t4) @t4) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t2 @t281 @t4) @t112 @t4)))) % 0.36/0.65 (assume @p206 (forall (@list @t2 @t74 @t112 @t4) (= @t283 @t282))) % 0.36/0.65 (assume @p207 (forall (@list @t2 @t12 @t4 @t14) (= (tptp.c_List_Oappend @t41 @t14 @t4) (tptp.c_List_Olist_OCons @t2 @t16 @t4)))) % 0.36/0.65 (assume @p208 (forall (@list @t2 @t74 @t4 @t112) (= @t282 @t283))) % 0.36/0.65 (assume @p209 (forall @t174 (or @t236 (= @t171 @t22)))) % 0.36/0.65 (assume @p210 (forall (@list @t266 @t52 @t2 @t12 @t53 @t4) (= (tptp.c_List_Ofoldl @t266 @t52 @t140 @t4 @t53) (tptp.c_List_Ofoldl @t266 (tptp.hAPP (tptp.hAPP @t266 @t52) @t2) @t12 @t4 @t53)))) % 0.36/0.65 (assume @p211 (forall (@list @t275 @t143) (or @t285 (not (tptp.hBOOL (tptp.hAPP @t275 @t284)))))) % 0.36/0.65 (assume @p212 (forall @t289 (or (tptp.c_Type_Otypings @t11 @t10 @t288) @t287))) % 0.36/0.65 (assume @p213 (forall (@list @t11 @t99 @t143 @t9) (or (tptp.c_Type_Otyping @t11 @t99 @t291) @t290))) % 0.36/0.65 (assume @p214 (forall (@list @t11 @t143 @t9) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t11 @t30 @t294 tptp.tc_Type_Otype) @t9 @t293) @t292))) % 0.36/0.65 (assume @p215 (forall (@list @t14 @t12 @t4 @t112) (or (not (= (tptp.c_List_Oappend @t14 @t12 @t4) (tptp.c_List_Oappend @t112 @t12 @t4))) @t295))) % 0.36/0.65 (assume @p216 (forall @t296 (or (not (= @t16 (tptp.c_List_Oappend @t12 @t112 @t4))) @t295))) % 0.36/0.65 (assume @p217 (forall @t36 (= @t126 @t12))) % 0.36/0.65 (assume @p218 (forall @t106 (= @t2 (tptp.c_List_Oappend @t18 @t2 @t4)))) % 0.36/0.65 (assume @p219 (forall @t36 (= @t12 @t126))) % 0.36/0.65 (assume @p220 (forall (@list @t4 @t14) (= @t297 @t14))) % 0.36/0.65 (assume @p221 (forall @t87 (= @t14 @t297))) % 0.36/0.65 (assume @p222 (forall @t300 (or (not (= @t263 (tptp.c_Type_Otype_OAtom @t298))) @t299))) % 0.36/0.65 (assume @p223 (forall (@list @t32) (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t160)))) % 0.36/0.65 (assume @p224 (forall (@list @t256 @t301) (not (= @t257 @t302)))) % 0.36/0.65 (assume @p225 (= tptp.v_n____ tptp.v_i____)) % 0.36/0.65 (assume @p226 (forall (@list @t266 @t52 @t53 @t4) (= (tptp.c_List_Ofoldl @t266 @t52 @t139 @t4 @t53) @t52))) % 0.36/0.65 (assume @p227 (forall (@list @t11 @t2 @t143 @t4) (= (tptp.hAPP (tptp.c_Type_Oshift @t11 @t2 @t143 @t4) @t2) @t143))) % 0.36/0.65 (assume @p228 (forall (@list @t32 @t10 @t24 @t128) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t10 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t171 @t128 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.36/0.65 (assume @p229 (forall @t100 (or @t303 @t35))) % 0.36/0.65 (assume @p230 (forall @t100 (or @t303 @t127))) % 0.36/0.65 (assume @p231 (forall (@list @t304 @t301) (or (not (= (tptp.c_Lambda_OdB_OAbs @t304) @t302)) (= @t304 @t301)))) % 0.36/0.65 (assume @p232 (forall @t17 (or @t305 @t35))) % 0.36/0.65 (assume @p233 (forall @t17 (or @t305 @t127))) % 0.36/0.65 (assume @p234 (forall (@list @t256 @t259 @t258) (not (= @t257 @t260)))) % 0.36/0.65 (assume @p235 (forall @t239 (or @t238 (= @t237 @t22)))) % 0.36/0.65 (assume @p236 (forall @t265 (= (tptp.c_Type_Otype_Otype__rec @t261 @t264 @t263 @t4) @t262))) % 0.36/0.65 (assume @p237 (forall @t231 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t130) @t230)) @t206))) % 0.36/0.65 (assume @p238 (forall (@list @t143 @t146 @t11 @t141 @t10) (or (= @t143 @t146) @t245 @t306))) % 0.36/0.65 (assume @p239 (forall @t311 (or @t310 (= @t307 @t258)))) % 0.36/0.65 (assume @p240 (forall @t311 (or @t310 (= @t308 @t259)))) % 0.36/0.65 (assume @p241 (forall @t314 (or @t313 @t312))) % 0.36/0.65 (assume @p242 (forall @t314 (or @t313 @t274))) % 0.36/0.65 (assume @p243 (forall @t235 (or @t234 (= @t22 @t171)))) % 0.36/0.65 (assume @p244 (forall (@list @t4 @t278 @t277) (not (= @t18 @t279)))) % 0.36/0.65 (assume @p245 (forall (@list @t141 @t9) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t151) @t9))))) % 0.36/0.65 (assume @p246 (forall @t289 (or (tptp.c_Type_Otypings @t11 @t10 @t315) @t287))) % 0.36/0.65 (assume @p247 (forall @t17 (or (not (= @t16 @t12)) @t127))) % 0.36/0.65 (assume @p248 (forall @t17 (or (not (= @t12 @t16)) @t127))) % 0.36/0.65 (assume @p249 (forall @t17 (or (not (= @t16 @t14)) @t35))) % 0.36/0.65 (assume @p250 (forall (@list @t14 @t12 @t4) (or (not (= @t14 @t16)) @t35))) % 0.36/0.65 (assume @p251 (forall @t93 (= @t272 @t41))) % 0.36/0.65 (assume @p252 (forall @t318 (or @t317 (= @t52 @t278)))) % 0.36/0.65 (assume @p253 (forall @t318 (or @t317 (= @t316 @t277)))) % 0.36/0.65 (assume @p254 (forall @t320 (or @t319 @t312))) % 0.36/0.65 (assume @p255 (forall @t320 (or @t319 @t75))) % 0.36/0.65 (assume @p256 (forall (@list @t301 @t308 @t307) (not (= @t302 @t309)))) % 0.36/0.65 (assume @p257 (forall @t300 (or (not (= @t257 (tptp.c_Lambda_OdB_OVar @t298))) @t299))) % 0.36/0.65 (assume @p258 (forall (@list @t11 @t10 @t143 @t141) (or (tptp.c_Type_Otypings @t11 @t10 @t321) @t306))) % 0.36/0.65 (assume @p259 (forall (@list @t308 @t307 @t301) (not (= @t309 @t302)))) % 0.36/0.65 (assume @p260 (forall (@list @t301 @t256) (not (= @t302 @t257)))) % 0.36/0.65 (assume @p261 (forall @t323 (or @t322 @t73))) % 0.36/0.65 (assume @p262 (forall @t323 (or @t322 @t3))) % 0.36/0.65 (assume @p263 (forall @t20 (= @t271 @t18))) % 0.36/0.65 (assume @p264 (forall @t296 (= (tptp.c_List_Oappend @t16 @t112 @t4) (tptp.c_List_Oappend @t12 @t116 @t4)))) % 0.36/0.65 (assume @p265 (forall (@list @t12 @t281 @t71 @t4) (= (tptp.c_List_Oappend @t12 (tptp.c_List_Oappend @t281 @t71 @t4) @t4) (tptp.c_List_Oappend (tptp.c_List_Oappend @t12 @t281 @t4) @t71 @t4)))) % 0.36/0.65 (assume @p266 (forall (@list @t112 @t2 @t4 @t14) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t112 @t2 @t4) @t14 @t4) (tptp.c_List_Oappend @t112 (tptp.c_List_Oappend @t2 @t14 @t4) @t4)))) % 0.36/0.65 (assume @p267 (forall (@list @t12 @t2 @t10 @t4) (= (tptp.c_List_Oappend @t12 (tptp.c_List_Oappend @t2 @t10 @t4) @t4) (tptp.c_List_Oappend @t68 @t10 @t4)))) % 0.36/0.65 (assume @p268 (forall (@list @t325 @t324 @t256) (not (= @t326 @t263)))) % 0.36/0.65 (assume @p269 @t327) % 0.36/0.65 (assume @p270 (forall (@list @t143 @t11 @t9) (or (= @t143 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t294) @t293)) @t292))) % 0.36/0.65 (assume @p271 (forall @t157 (or @t156 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t9) @t152))) @t155))) % 0.36/0.65 (assume @p272 (forall @t332 (or @t331 (= @t328 @t325)))) % 0.36/0.65 (assume @p273 (forall @t332 (or @t331 (= @t329 @t324)))) % 0.36/0.65 (assume @p274 (forall (@list @t266 @t2 @t12 @t53 @t52 @t4) (= (tptp.c_List_Ofoldr @t266 @t140 @t52 @t53 @t4) (tptp.hAPP (tptp.hAPP @t266 @t2) (tptp.c_List_Ofoldr @t266 @t12 @t52 @t53 @t4))))) % 0.36/0.65 (assume @p275 (forall (@list @t275 @t248 @t251 @t143) (or (not (= @t284 @t252)) @t285 (tptp.hBOOL (tptp.hAPP @t275 @t251))))) % 0.36/0.65 (assume @p276 (forall (@list @t275 @t333 @t2 @t143) (or (not (= @t284 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t333) @t2))) @t285 (tptp.hBOOL (tptp.hAPP @t275 @t333))))) % 0.36/0.65 (assume @p277 (forall (@list @t335 @t22 @t9 @t146 @t143) (or (tptp.c_Type_Otyping @t335 @t168 @t146) (not (tptp.c_Type_Otyping @t335 @t9 @t143)) (not (tptp.c_Type_Otyping @t335 @t22 @t334))))) % 0.36/0.65 (assume @p278 (tptp.c_Type_Otyping @t255 tptp.v_a____ tptp.v_T_H_H____)) % 0.36/0.65 (assume @p279 (forall (@list @t335 @t9 @t143 @t146) (or (tptp.c_Type_Otyping @t335 @t269 @t334) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t335 @t30 @t143 tptp.tc_Type_Otype) @t9 @t146))))) % 0.36/0.65 (assume @p280 (forall (@list @t11 @t141 @t143) (or (= (tptp.hAPP @t11 @t141) @t143) (not (tptp.c_Type_Otyping @t11 @t151 @t143))))) % 0.36/0.65 (assume @p281 (forall (@list @t266 @t12 @t14 @t53 @t52 @t4) (= (tptp.c_List_Ofoldr @t266 @t267 @t52 @t53 @t4) (tptp.c_List_Ofoldr @t266 @t12 (tptp.c_List_Ofoldr @t266 @t14 @t52 @t53 @t4) @t53 @t4)))) % 0.36/0.65 (assume @p282 (tptp.c_Type_Otyping @t255 @t158 @t337)) % 0.36/0.65 (assume @p283 (tptp.c_Type_Otyping @t255 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t158) tptp.v_a____) @t336)) % 0.36/0.65 (assume @p284 (forall @t338 (or (tptp.c_Type_Otyping @t11 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t288 @t143 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t287))) % 0.36/0.65 (assume @p285 (forall (@list @t11 @t141 @t143 @t10) (or (tptp.c_Type_Otyping @t11 @t151 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t321 @t143 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t306))) % 0.36/0.65 (assume @p286 (forall (@list @t11 @t9 @t10 @t143 @t7) (or @t286 @t244 (not (tptp.c_Type_Otyping @t11 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t7 @t143 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.36/0.65 (assume @p287 (forall (@list @t266 @t53 @t52 @t4) (= (tptp.c_List_Ofoldr @t266 @t139 @t52 @t53 @t4) @t52))) % 0.36/0.65 (assume @p288 @t339) % 0.36/0.65 (assume @p289 (forall @t341 (= (tptp.c_Type_Otype_Otype__rec @t261 @t264 @t330 @t4) (tptp.hAPP (tptp.hAPP @t340 (tptp.c_Type_Otype_Otype__rec @t261 @t264 @t328 @t4)) (tptp.c_Type_Otype_Otype__rec @t261 @t264 @t329 @t4))))) % 0.36/0.65 (assume @p290 (forall @t341 (= (tptp.c_Type_Otype_Otype__case @t261 @t264 @t330 @t4) @t340))) % 0.36/0.65 (assume @p291 (forall (@list @t335 @t2) (tptp.c_Type_Otyping @t335 (tptp.c_Lambda_OdB_OVar @t2) (tptp.hAPP @t335 @t2)))) % 0.36/0.65 (assume @p292 (forall (@list @t275 @t261 @t264 @t74 @t342) (or (not (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Type_Otype_Otype__case @t261 @t264 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t74) @t342) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t275 (tptp.hAPP (tptp.hAPP @t264 @t74) @t342)))))) % 0.36/0.65 (assume @p293 (forall (@list @t275 @t261 @t264 @t328 @t329) (or (not (tptp.hBOOL (tptp.hAPP @t275 (tptp.c_Type_Otype_Otype__case @t261 @t264 @t330 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t275 @t340))))) % 0.36/0.65 (assume @p294 (forall (@list @t256 @t325 @t324) (not (= @t263 @t326)))) % 0.36/0.65 (assume @p295 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.36/0.65 (assume @p296 (forall @t338 (or (tptp.c_Type_Otyping @t11 @t9 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t315 @t143 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t287))) % 0.36/0.65 (assume @p297 (forall (@list @t11 @t9 @t143 @t99) (or (tptp.c_Type_Otyping @t11 @t9 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t291) @t143)) @t290))) % 0.36/0.65 (assume @p298 (not @t343)) % 0.36/0.65 (assume @p299 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.36/0.65 (assume @p300 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.36/0.65 (assume @p301 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.36/0.65 (assume @p302 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.36/0.65 (assume @p303 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.36/0.65 (assume @p304 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.36/0.65 (assume @p305 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.36/0.65 (assume @p306 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p307 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p308 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p309 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p310 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p311 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p312 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p313 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p314 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p315 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p316 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p317 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.36/0.65 (assume @p318 (forall @t107 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t88 @t2) @t2)))) % 0.36/0.65 (assume @p319 (forall (@list @t345 @t344 @t4) (or (= @t345 @t344) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t88 @t345) @t344)))))) % 0.36/0.65 (assume-push @p337 @t327) % 0.36/0.65 (assume-push @p338 @t339) % 0.36/0.65 (step @p322 :rule true_intro :premises (@p269)) % 0.36/0.65 (step @p323 :rule symm :premises (@p288)) % 0.36/0.65 (step @p324 :rule refl :args (tptp.v_u____)) % 0.36/0.65 (step @p325 :rule refl :args (tptp.v_e____)) % 0.36/0.65 (step @p326 :rule cong :premises (@p325 @p324 @p323) :args (@t343)) % 0.36/0.65 (step @p327 :rule trans :premises (@p326 @p322)) % 0.36/0.65 (step @p328 :rule true_elim :premises (@p327)) % 0.36/0.65 (step-pop @p339 :rule scope :premises (@p328)) % 0.36/0.65 (step-pop @p340 :rule scope :premises (@p339)) % 0.36/0.65 (step @p329 :rule process_scope :premises (@p340) :args (@t343)) % 0.36/0.65 (step @p332 :rule implies_elim :premises (@p329)) % 0.36/0.65 (step @p333 :rule cnf_and_neg :args (@t346)) % 0.36/0.65 (step @p334 :rule resolution :premises (@p333 @p332) :args (true @t346)) % 0.36/0.65 (step @p335 :rule reordering :premises (@p334) :args ((or @t343 (not @t327) (not @t339)))) % 0.36/0.65 (step @p336 false :rule chain_m_resolution :premises (@p335 @p298 @p288 @p269) :args (false (@list true false false) (@list @t343 @t339 @t327))) % 0.36/0.65 ) % 0.36/0.65 % SZS output end Proof % 0.36/0.65 % cvc5 exiting %------------------------------------------------------------------------------